diff --git a/.github/workflows/c8-normalizer-floor-planar.yml b/.github/workflows/c8-normalizer-floor-planar.yml new file mode 100644 index 000000000..b6eba1152 --- /dev/null +++ b/.github/workflows/c8-normalizer-floor-planar.yml @@ -0,0 +1,86 @@ +name: C8 planar normalizer floor (certified replay) + +'on': + pull_request: + paths: + - 'frontiers/c8_normalizer_floor_planar_20260930/**' + - '.github/workflows/c8-normalizer-floor-planar.yml' + - 'imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md' + - 'frontiers/c6_cluster_coefficients_numerics_20260930/RESULTS.json' + workflow_dispatch: + +permissions: + contents: read + +jobs: + certified-replay: + runs-on: ubuntu-latest + timeout-minutes: 30 + steps: + - uses: actions/checkout@11d5960a326750d5838078e36cf38b85af677262 + with: + persist-credentials: false + - uses: actions/setup-python@a26af69be951a213d495a4c3e4e4022e16d87065 + with: + python-version: '3.11.16' + - name: Verify manifest and main-resident pins, replay the certified floor (twelve sub-boxes of the two bands exactly), reject mutants + env: + PYTHONDONTWRITEBYTECODE: '1' + run: | + set -euo pipefail + python -B -S - <<'PY' + import hashlib, json, pathlib, subprocess, sys + root = pathlib.Path('frontiers/c8_normalizer_floor_planar_20260930').resolve() + manifest = json.loads((root / 'SOURCE_FILES.json').read_text())['files'] + present = sorted(p.name for p in root.iterdir()) + if present != sorted([e['path'] for e in manifest] + ['SOURCE_FILES.json']): + raise ValueError('packet tree differs from manifest: ' + repr(present)) + for entry in manifest: + path = root / entry['path'] + if pathlib.PurePosixPath(entry['path']).name != entry['path'] or path.is_symlink(): + raise ValueError('flat regular source required: ' + entry['path']) + data = path.read_bytes() + if len(data) != entry['bytes'] or hashlib.sha256(data).hexdigest() != entry['sha256']: + raise ValueError('source identity mismatch: ' + entry['path']) + pins = json.loads((root / 'SOURCE_MAP.json').read_text()) + for entry in pins['sources']: + if not entry['current_required']: + continue + data = pathlib.Path(entry['path']).read_bytes() + blob = hashlib.sha1(b'blob %d\0' % len(data) + data).hexdigest() + if len(data) != entry['bytes'] or hashlib.sha256(data).hexdigest() != entry['sha256'] or blob != entry['git_blob']: + raise ValueError('consumed source identity mismatch on this tree: ' + entry['path']) + script = str(root / 'floor.py') + for flags in (['-B', '-S'], ['-B', '-O', '-S']): + out = subprocess.run([sys.executable, *flags, script, '--check'], cwd=root, capture_output=True, timeout=1500) + if out.returncode != 0: + raise RuntimeError('check failed under ' + ' '.join(flags) + ': ' + out.stdout.decode()[-400:] + out.stderr.decode()[-400:]) + for m in ['swap-minmax', 'drop-torus-error', 'sign-saddle']: + rc = subprocess.run([sys.executable, *flags, script, '--check', '--mutant', m], cwd=root, capture_output=True, timeout=1500).returncode + if rc != 1: + raise RuntimeError('mutant ' + m + ' not rejected') + print(json.dumps({'scientific_effect': 'NONE', 'certified_floor_replayed': True})) + PY + git diff --exit-code + + full-regeneration: + # complete regeneration of every sub-box floor and comparison with RESULTS.json (about two hours on two cores); + # run on demand (workflow_dispatch), not on every pull request + if: github.event_name == 'workflow_dispatch' + runs-on: ubuntu-latest + timeout-minutes: 350 + steps: + - uses: actions/checkout@11d5960a326750d5838078e36cf38b85af677262 + with: + persist-credentials: false + - uses: actions/setup-python@a26af69be951a213d495a4c3e4e4022e16d87065 + with: + python-version: '3.11.16' + - name: Regenerate all 11904 sub-box floors of both bands and compare exactly with RESULTS.json + env: + PYTHONDONTWRITEBYTECODE: '1' + run: | + set -euo pipefail + cd frontiers/c8_normalizer_floor_planar_20260930 + python -B -S floor.py --check-full --procs 2 + git diff --exit-code diff --git a/frontiers/c8_normalizer_floor_planar_20260930/NOTE.md b/frontiers/c8_normalizer_floor_planar_20260930/NOTE.md new file mode 100644 index 000000000..d321d52e8 --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/NOTE.md @@ -0,0 +1,225 @@ +# A certified floor for the planar full normalizer: `Z_r / r^2 >= z_*` on a declared band (C8, first constant) + +**Object:** `CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1`. **Author lane:** Anthropic / Claude (Claude Code +`session_015wNj8LPTKXsaT68G3DgPPh`). **Kind:** certified numerical constant: exact rational interval arithmetic in the +standard library, every transcendental (`exp`, `Phi`, `sqrt`, `pi`) bracketed by a series with an explicit remainder, +every rounding outward or budgeted. **Scientific effect:** NONE. No register, catalog, GRAPH or STATUS change; catalog +entry C8 (`reviews/candidates_pending_20260928/CANDIDATES.md`) stays OPEN: this note supplies one of its listed +constants, `z_*`, on one declared band and none of `C`, `r_*`, `c_{B,K}`, `c_{d,L}`. + +## 0. Statement + +Let `f` be the unit-variance stationary Gaussian field on the torus `R^2 / (L Z^2)` with the parent kernel +`K_L(z) = sum_n exp(-|z + Ln|^2/2) / sum_n exp(-|Ln|^2/2)` ([LP] section 1). For an orthonormal frame with axial unit +vector `u`, radius `r`, birth `b` and gap `k`, let `Q = Q_{r,b,k,R}` be the Gaussian regression at the six pins +`f(M) = b`, `f(S) = b - k r^3`, `grad f(M) = grad f(S) = 0`, `M = -(r/2) u`, `S = (r/2) u`, and + + W_r = |det H_M det H_S| 1{H_M < 0, index H_S = 1}, Z_r = E_Q W_r ([LP] section 1). + +**Certified inequality.** For every frame and every `(b, k)` with `0 <= b <= 1`, `1/2 <= k <= 2`: + + L >= 12, 1/64 <= r <= 1/2 : Z_r / r^2 >= z_* = 3.5044 , + L >= 10, 1/8 <= r <= 1/2 : Z_r / r^2 >= 3.5044 (high band), + L >= 12, 1/64 <= r <= 1/8 : Z_r / r^2 >= 7.0499 (low band), + +with the sharper sub-box floors of `RESULTS.json` (`bands.high.table`: 192 x 8 x 6 boxes on `[1/8, 1/2]`; +`bands.low.table`: 56 x 8 x 6 boxes on `[1/64, 1/8]`; `r` in steps of `1/512`, `b` of `1/8`, `k` of `1/4`): in particular +`Z_r / r^2 >= 7.6517` for `r <= 1/32`, `>= 7.4705` for `r <= 1/16`, `>= 6.5593` for `1/8 <= r <= 3/16`, +`>= 6.0085` for `1/8 <= r <= 1/4`, `>= 4.7822` for `1/8 <= r <= 3/8` (all `b`, `k` in the band), and for every box the floor +scales as `k_lo^2 x q(box)` with `q` certified for `Z_r / (r^2 k^2)`. The high-band minimum is attained at +`r=[255/512,1/2],b=[0,1/8],k=[1/2,3/4]`, the low-band minimum at `r=[63/512,1/8],b=[0,1/8],k=[1/2,3/4]`. The low band needs `L >= 12` +because the periodization remainder enters the preconditioned functionals with the factor `r^-10` (section 2). + +This is the constant whose existence is [LP] (5.5) (`0 < z_* <= Z_r / r^2`), with a number on a declared band. It is +a lower bound, not an enclosure: the floating Monte Carlo controls of section 4 put the true `Z_r / r^2` at `1.1` to +`2` times the floor across the bands (`0.50` to `0.89` as a ratio floor / MC). + +## 1. Reduction to a six-dimensional Gaussian and the r -> 0 limit + +Under `Q` the six Hessian entries `(f_xx, f_xy, f_yy)(M), (f_xx, f_xy, f_yy)(S)` are jointly Gaussian with mean +`mu(r, b, k)` and covariance `C(r)`, and `Z_r = E[|det H_M||det H_S| 1{...}]` is their integral against that law. +As `r -> 0`, [LP] (5.2)-(5.4): `f_xx(M) = -6 k r + O(r^2)`, `f_xx(S) = 6 k r + O(r^2)`, `f_xy = O(r)`, and the transverse +entries converge to the contact law `A_0 ~ N(-b, 2)` ([NUM]; Math-#184 Lemma 1 in general `d`), so that + + Z_r / r^2 -> z_0(b, k) = 36 k^2 E[A_0^2 1{A_0 < 0}], A_0 ~ N(-b, 2) (5.4) + +(`z_0(0, k) = 36 k^2`, `z_0(1, k) = 97.925 k^2`). The certified band is a finite-`r` statement and does not use (5.4); +`z_0` appears only as a floating control (section 4). + +## 2. Method + +**Preconditioned jets.** The raw pin covariance is nearly singular (`det ~ r^6`), so interval regression on the raw +pins would lose everything. Instead the pins are the midpoint-jet combinations + + p1 = (f(M) + f(S))/2, p2 = (f(S) - f(M))/r, p4 = (f_x(S) - f_x(M))/r, + p3' = 12 [(f_x(M) + f_x(S))/2 - p2] / r^2, q1 = (f_y(M) + f_y(S))/2, q2 = (f_y(S) - f_y(M))/r, + +with values `(b - k r^3/2, -k r^2, 12 k, 0, 0, 0)` (limits `f, f_x, f_xxx, f_xx, f_y, f_xy` at the midpoint), and the +targets are + + w_M = f_yy(M), om = (f_yy(S) - f_yy(M))/r, + T_M = [f_xx(M) - p4 + (r/2) p3'] / r^2, tau = (T_S - T_M)/r with T_S = [f_xx(S) - p4 - (r/2) p3'] / r^2, + v_M = [f_xy(M) - q2] / r, nu = (v_S + v_M)/r with v_S = [f_xy(S) - q2] / r + +(limits `f_yy, f_xyy, f_xxxx/12, f_xxxxx/60, -f_xxy/2, f_xxxy/6`). Both covariance matrices have `O(1)` nondegenerate +limits, so the `6 x 6` interval Gaussian elimination and the `6 x 6` interval Cholesky factor are well conditioned on +every band. The Hessian is recovered exactly: `f_xx(M) = r^2 T_M - 6 k r`, `f_xx(S) = r^2 (T_M + r tau) + 6 k r`, +`f_xy(M) = r v_M`, `f_yy(M) = w_M`, `f_yy(S) = w_M + r om` (the pin values enter through `p4 = 0`, `p3' = 12 k`, +`q2 = 0`). The conditional mean is exactly `b alpha(r) + k beta(r)` (the pin values are linear in `(b, k)`), so the +centred coordinates `y = x - b alpha - k beta` have conditional mean zero for every `(b, k)`: the cell probabilities +depend on `r` only, and `b`, `k` enter the determinant bounds only. + +**Exact cancellation.** Every raw covariance `Cov(d^u f(s), d^v f(t)) = (-1)^c He_{a+c}(Delta) exp(-Delta^2/2) . +(-1)^d He_{b+d}(0)`, `Delta = t - s in {0, +-r}`, is a Hermite polynomial times `exp(-r^2/2)`; with the Taylor +polynomial of `exp(-r^2/2)` to order `48` it is an exact Laurent polynomial in `r` plus a remainder bounded by +`(r^2/2)^25 / 25!` times the Hermite maximum. The preconditioned functionals carry powers `r^-1 ... r^-5`; the script +asserts that every negative power cancels exactly in every one of the `108` covariance polynomials before evaluating +them on the band (a structural check of the jet algebra). Evaluation is a term-by-term interval sum. + +**Torus remainder (any frame).** In the frame `R`, `K_L(R w) = [G(w) + sum_{n != 0} G(w + R^T n L)] / Theta`, +`G = exp(-|.|^2/2)`, `Theta = sum_n G(nL) in [1, 1 + eps_0]`. For `|gamma| <= 4` and `|w| <= r`, with +`|He_j(t)| <= (|t| + 3)^j` (`j <= 4`) and `h(s) = (s + 3)^4 exp(-s^2/2)` decreasing for `s > 1`, + + |sum_{n != 0} d^gamma G(w + R^T n L)| <= eps(L, r) := 8 h(L - r) + 4096 (L + 3)^4 exp(-(2L - r)^2/2) / (1 - 32 exp(-L^2/2)) + +(shell `|n|_inf = 1`: eight points at distance `>= L - r`; shells `m >= 2`: `8m` points, `(mL - r)^2 >= (2L - r)^2 + +(m - 2) L^2` and `m^5 <= 32 . 32^(m-2)`). Every raw entry is widened by `+-eps` before the cancellation step, the +whole covariance is divided by `Theta` at the end (a common positive factor leaves the regression coefficients unchanged +and scales the conditional covariance by `1/Theta in [1/(1 + eps_0), 1]`). At `L = 10`, `eps(10, 1/2) = 4.93e-15`, +`eps_0 = 4.41e-17`; the cross-block Cholesky entries this produces are of size `1e-9` to `1e-6` and are absorbed below. +The preconditioned functionals carry coefficients up to `r^-5`, so a raw perturbation `eps` becomes `eps r^-10` in the +`O(1)` covariances: `5e-6` at `L = 10`, `r = 1/8`, but `60` at `L = 10`, `r = 1/64`, where the interval Cholesky fails; the low +band is therefore declared for `L >= 12`, where `eps(12, 1/8) = 9.37e-26` gives `3e-8` at `r = 1/64`. +Determinants and indices are frame invariant, so the rotated-frame Hessian is the one of [LP]. + +**Cells and the lower bound.** With `L` the interval Cholesky factor of `C` in the order `(w_M, om, T_M, tau, v_M, nu)` +and `z` standard normal, `y = L z`. On `|z|_inf <= Z_MAX = 8` the cross-block part of `(L z)_i` is at most +`eta_i = 8 sum_{j not in block(i)} |L_ij|`, so for a box `B` in `y`-space + + P(y in B) >= prod_blocks P_block(B shrunk by eta) - 12 (1 - Phi(8)), + +the block events being independent (disjoint `z` coordinates). The boxes are cells: `w_M` in `40` slabs on +`[-5 sd, 9/8]`, `om` in `40` slabs on `+-5 sd`, `T_M` in `8` slabs on `+-4 sd` with `tau` in one `+-4 sd` box, `|v_M|` +in `6` slabs up to `3.5 sd` with `nu` in one `+-3.5 sd` box. On each cell, in the coordinates divided by `r k`, + + det H_M / (r k) >= (H_xx(M)/(r k)) . w_M - r v_M^2 / k (both factors negative on the cell, `v` slab maximum), + |det H_S| / (r k) >= -(H_xx(S)/(r k)) . (w_M + r om) (`H_xy(S)^2 >= 0` dropped), + +every factor an interval over the cell, the `(r, b, k)` box and the torus widening, and + + Z_r / (r^2 k^2) >= sum_cells [det H_M / (r k)]_lo [|det H_S| / (r k)]_lo P(cell)_lo , + +the cells being disjoint events. Certifying `Z_r / (r^2 k^2)` rather than `Z_r` removes the `(6 k r)^2` factor's +variation over the box; the floor for the box is `q . k_lo^2`. + +**Rectangle probabilities.** For a `2 x 2` block `y_p = L_pp z_a`, `y_q = L_qp z_a + L_qq z_b` and a rectangle +`[l_p, h_p] x [l_q, h_q]`, + + P = integral_A^B phi(s) g(s) ds, g(s) = Phi((h_q - L_qp s)/L_qq) - Phi((l_q - L_qp s)/L_qq), + +`A = l_p / L_pp`, `B = h_p / L_pp`. **Lemma (endpoint minimum).** For parallel affine `u(s) > l(s)`, `g = Phi(u) - Phi(l)` +is unimodal with a maximum: `g' = u' (phi(u) - phi(l))` and `phi(u) > phi(l)` iff `|u| < |l|` iff `u + l < 0` (as +`u > l`), and `u + l` is monotone in `s`. Hence the minimum of `g` on a piece is attained at an endpoint, and +`P >= sum_pieces min(g(s_i), g(s_{i+1}))_lo (Phi(s_{i+1}) - Phi(s_i))_lo` with `10` (`8`) pieces per cell; the +intervals in `L_pp, L_qp, L_qq` make this a bound for every covariance in the band (the range `[A, B]` is taken inner). + +**Constants.** `exp(-t)` by the alternating series after halving to `t <= 1/2`; `pi` by Machin; square roots by +integer `isqrt` brackets; `Phi(x)` by the series `1/2 + (2 pi)^(-1/2) sum (-1)^n x^(2n+1) / (2^n n! (2n+1))` in fixed +point (ulp `2^-200`) with an integer bound `E_n` on the accumulated rounding error of each term (`E_{n+1} = +floor(E_n x_hi^2 / (2(n+1))) + 2`), the `x` rounding (`|d Sigma / dx| <= 1`), and the alternating tail (first omitted +term, in the decreasing regime `x^2 <= 2n`); `|x| <= 12`, beyond which `Phi` is replaced by `0` or `1` (only +widening). All interval endpoints are rounded outward to `2^-160`. + +## 3. Values (`RESULTS.json`) + +Combined floor: `z_* = 3.5044` (`L >= 12`, `r in [1/64, 1/2]`); high band `3.5044` (attained at `r=[255/512,1/2],b=[0,1/8],k=[1/2,3/4]`, +valid for `L >= 10`); low band `7.0499` (attained at `r=[63/512,1/8],b=[0,1/8],k=[1/2,3/4]`). Floors by `r`-range (minimum over all +`b`, `k` sub-boxes with `r` in the range): + +| `r` range | floor of `Z_r / r^2` | at `(b, k)` box | +|---|---|---| +| `[1/64, 1/32]` | `7.6517` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/64, 1/16]` | `7.4705` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/64, 1/8]` | `7.0499` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/8, 3/16]` | `6.5593` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/8, 1/4]` | `6.0085` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/8, 3/8]` | `4.7822` | `b in [0, 1/8], k in [1/2, 3/4]` | +| `[1/8, 1/2]` | `3.5044` | `b in [0, 1/8], k in [1/2, 3/4]` | + +Floors at fixed `(b, k)` corners (minimum over the `r`-bands in the range), against the floating Monte Carlo of +`Z_r / r^2` at the worst corner `(r_hi, b_lo, k_lo)` of the box attaining the floor and the limit `z_0(b_lo, k_lo)`. +High band: + +| box (`b`, `k`) | `r <= 1/4`: floor / MC (s.e.) | `r <= 1/2`: floor / MC (s.e.) | `z_0(b_lo, k_lo)` | +|---|---|---|---| +| `b in [0, 1/8], k in [1/2, 3/4]` | `6.0085` / `8.353` (`0.095`) | `3.5044` / `6.957` (`0.083`) | `9.000` | +| `b in [0, 1/8], k in [5/4, 3/2]` | `39.6829` / `52.003` (`0.593`) | `24.5913` / `41.434` (`0.502`) | `56.250` | +| `b in [0, 1/8], k in [7/4, 2]` | `78.0461` / `101.493` (`1.159`) | `47.3116` / `78.071` (`0.961`) | `110.250` | +| `b in [1/2, 5/8], k in [1/2, 3/4]` | `10.5508` / `14.360` (`0.131`) | `6.3815` / `12.258` (`0.116`) | `15.308` | +| `b in [1/2, 5/8], k in [5/4, 3/2]` | `69.6284` / `89.412` (`0.819`) | `45.0348` / `73.344` (`0.705`) | `95.674` | +| `b in [1/2, 5/8], k in [7/4, 2]` | `137.0291` / `174.582` (`1.602`) | `87.1241` / `138.847` (`1.355`) | `187.521` | +| `b in [7/8, 1], k in [1/2, 3/4]` | `15.4017` / `20.678` (`0.163`) | `9.5303` / `17.920` (`0.145`) | `21.888` | +| `b in [7/8, 1], k in [5/4, 3/2]` | `101.6349` / `128.778` (`1.016`) | `67.5804` / `107.627` (`0.884`) | `136.798` | +| `b in [7/8, 1], k in [7/4, 2]` | `200.1061` / `251.529` (`1.988`) | `131.2506` / `204.401` (`1.702`) | `268.124` | + +Low band: + +| box (`b`, `k`) | `r <= 1/16`: floor / MC (s.e.) | `r <= 1/8`: floor / MC (s.e.) | `z_0(b_lo, k_lo)` | +|---|---|---|---| +| `b in [0, 1/8], k in [1/2, 3/4]` | `7.4705` / `8.822` (`0.099`) | `7.0499` / `8.728` (`0.098`) | `9.000` | +| `b in [0, 1/8], k in [5/4, 3/2]` | `47.0643` / `55.144` (`0.619`) | `45.0742` / `54.546` (`0.614`) | `56.250` | +| `b in [0, 1/8], k in [7/4, 2]` | `92.1467` / `108.077` (`1.214`) | `88.4466` / `106.858` (`1.204`) | `110.250` | +| `b in [1/2, 5/8], k in [1/2, 3/4]` | `12.9311` / `15.048` (`0.136`) | `12.2491` / `14.911` (`0.135`) | `15.308` | +| `b in [1/2, 5/8], k in [5/4, 3/2]` | `81.4752` / `94.056` (`0.853`) | `78.2739` / `93.178` (`0.846`) | `95.674` | +| `b in [1/2, 5/8], k in [7/4, 2]` | `159.5667` / `184.340` (`1.671`) | `153.6276` / `182.550` (`1.659`) | `187.521` | +| `b in [7/8, 1], k in [1/2, 3/4]` | `18.7088` / `21.565` (`0.169`) | `17.7588` / `21.389` (`0.168`) | `21.888` | +| `b in [7/8, 1], k in [5/4, 3/2]` | `117.8971` / `134.787` (`1.055`) | `113.4950` / `133.658` (`1.048`) | `136.798` | +| `b in [7/8, 1], k in [7/4, 2]` | `230.9466` / `264.171` (`2.068`) | `222.8022` / `261.865` (`2.053`) | `268.124` | + +## 4. Precision and controls (floating, not certified) + +- The floor is a certified lower bound; its distance from the truth is the sum of the cell-minimum losses (the + determinant is replaced by its minimum over each cell), the box widths in `(r, b, k)`, the `+-c sd` truncations and + the dropped `H_xy(S)^2`. The floating Monte Carlo controls (`40000` samples, seed `2026`, direct regression of the + six raw Hessian entries, continuum kernel) give ratios floor / MC between `0.50` and `0.89` over + the `76` control boxes of the two bands (the low band reaches `0.85`–`0.90`); every floor lies below its control by more than five standard errors and below the + `r -> 0` limit `z_0(b_lo, k_lo)` (both are `--check` rules; they are consistency checks, not part of the proof). +- The preconditioned exact regression agrees with the direct floating regression of the six raw entries to `1e-9` + relative at `r = 1/4, 3/8` and to `1e-5` at `r = 1/32`, where the direct regression on the raw pins is ill conditioned + (`--check` rule); the point-band enclosures of the preconditioned regression have widths below `1e-6` at all three. +- Sensitivity to the band width: at `r = 1/8` the same sub-box certified with `r`-bands of width `1/32`, `1/128`, + `1/512` gives floors of `0.51`, `0.69`, `0.74` of the Monte Carlo value (the interval Cholesky widths scale with the + band width); `1/512` is the production choice. + +## 5. What this does not do + +Not an enclosure of `Z_r / r^2` (a lower bound only, `1.1` to `2` times below the truth). Not a value of `C`, `r_*`, +`c_{B,K}` or `c_{d,L}` of [LP] Theorems A-C, and no statement about `p_r`, the elder selection, the boundary layer of +[LP] section 7, or any `d >= 3` normalizer. Planar only, `L >= 12` on `[1/64, 1/2]` and `L >= 10` on `[1/8, 1/2]` (the +`L = 24` SIDE24 torus included), aligned or rotated frames, `b in [0, 1]`, `k in [1/2, 2]`; nothing for `r < 1/64` +(where the floor tends to `z_0`), `r > 1/2`, or `L < 10`. Not a review of [LP]; the definitions of `Q`, `W_r`, `Z_r` are consumed as stated, and (5.4)-(5.5) +are not revalidated (the certified band does not use them). No register, catalog, GRAPH or STATUS change; C8 stays +OPEN. Same GitHub account as every lane; zero organizational-independence credit. The author will not merge. + +## 6. Verification + +`python3 -B -S floor.py --check` (and `-B -O -S`; about three minutes): re-derives the certified floor of twelve sub-boxes +(each band's argmin box, six high-band boxes one per 32 `r`-bands, four low-band boxes one per 18) from scratch and requires exact agreement with +`RESULTS.json`; checks that each band's stored `z_star` is the minimum of its table and the combined statement; checks every floating control (floor `<=` MC `+ 5` s.e., floor `<= 1.01 z_0`); checks the +preconditioned regression against the direct floating regression at three point bands, the Laurent cancellations, and +the bracketing of `pi`, `Phi(1)`, `exp(-1)`. Mutants (`--mutant`, must exit 1): `swap-minmax` (piece maximum instead +of minimum in the rectangle bound; the floor exceeds its Monte Carlo control), `drop-torus-error` (`eps = eps_0 = 0`; +exact replay fails), `sign-saddle` (index condition of `H_S` reversed; exact replay fails). The workflow +`c8-normalizer-floor-planar.yml` replays the manifest, the two main-resident pins, both check modes and the mutants. +`python3 -B -S floor.py --check-full --procs N` regenerates **every** one of the 11904 sub-box floors (9216 high, 2688 low) and requires exact +agreement with `RESULTS.json` (`--band low,high` and `--rbands i,j,...` restrict to bands or listed `r`-bands for a partial check); the workflow's +`full-regeneration` job runs it on demand (`workflow_dispatch`, two cores, about three hours), since the per-pull-request +job cannot carry it in both interpreter modes with the mutants. The certificate for a stored floor is its exact +regeneration; the manifest authenticates the bytes, not their derivation. The full run (`--procs 4`; 64 minutes for the high band and about 20 for the low band +on four cores) regenerates `RESULTS.json` deterministically (exact rationals; the floating controls are seeded). + +## 7. Provenance + +Pins ([LP] `dfed3b8d`, [NUM] `2648314f`) on `main` `3e0a91b`, verified by the workflow; `SOURCE_FILES.json` fingerprints +the packet. Method notes: the preconditioning is the finite-`r` form of the midpoint-jet expansion used in [LP] +section 5 and Math-#184 Lemma 1; the torus remainder bound is elementary; no external numerical library is used. diff --git a/frontiers/c8_normalizer_floor_planar_20260930/README.md b/frontiers/c8_normalizer_floor_planar_20260930/README.md new file mode 100644 index 000000000..e99afd061 --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/README.md @@ -0,0 +1,25 @@ +# Certified planar normalizer floor (C8, first band) + +**Object:** `CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1`. **Author lane:** Anthropic / Claude. **Kind:** certified numerical +constant (exact rational interval arithmetic; every transcendental bracketed by a series with an explicit remainder). +**Scientific effect:** NONE (no register, catalog, GRAPH or STATUS change; C8 stays OPEN). + +Proves, for the parent torus kernel of [LP] in `d = 2`, every orthonormal frame, every side `L >= 12`, and every +`r in [1/64, 1/2]`, `b in [0, 1]`, `k in [1/2, 2]`, the explicit floor `Z_r / r^2 >= z_* = 3.5044` (the band +`[1/8, 1/2]` alone holds for `L >= 10`; the band `[1/64, 1/8]` has floor `7.0499`) for the full normalizer +`Z_r = E_Q |det H_M det H_S| 1{H_M < 0, index H_S = 1}` of [LP] section 1 (the constant whose existence is (5.5) there). +The values and the full tables of per-sub-box floors are in `RESULTS.json` (`combined`, `bands.high`, `bands.low`); NOTE.md states the +method and the exact scope. + +- `NOTE.md` — statement, method (midpoint-jet preconditioning, exact Laurent-polynomial cancellation, torus remainder + bound, block Cholesky with coupling shrink, cell sums with endpoint minima), values, controls, non-claims. +- `floor.py` — standard-library script (Python `>= 3.11`): `--check` replays the manifest-pinned floor exactly on twelve + sub-boxes of the two bands, verifies the stored minimum, the floating controls and the constants (about three minutes); + `--check-full --procs N` regenerates all 11904 sub-box floors and compares them exactly (about 85 minutes on four cores; + the workflow's on-demand `full-regeneration` job); the full run (`--procs 4`) regenerates `RESULTS.json`; + `--mutant {swap-minmax, drop-torus-error, sign-saddle}` must exit 1. +- `RESULTS.json`, `SOURCE_MAP.json` (two main-resident pins: [LP], [NUM]), `SOURCE_FILES.json`. +- Workflow `.github/workflows/c8-normalizer-floor-planar.yml` replays manifest, pins, both check modes and the + mutants on every pull request, and regenerates every sub-box on demand (`workflow_dispatch`). + +Same GitHub account as every other lane; zero organizational-independence credit. The author will not merge. diff --git a/frontiers/c8_normalizer_floor_planar_20260930/RESULTS.json b/frontiers/c8_normalizer_floor_planar_20260930/RESULTS.json new file mode 100644 index 000000000..4ca0c13fe --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/RESULTS.json @@ -0,0 +1,49078 @@ +{ + "bands": { + "high": { + "L_min": 10, + "argmin": "r=[255/512,1/2],b=[0,1/8],k=[1/2,3/4]", + "float_controls": { + "r=[1/8,65/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.594256794581035, + "r": 0.125, + "se": 0.24059321432053815, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.723993141909073, + "r": 0.126953125, + "se": 0.09825527232081542, + "z0": 9.000000000000002 + } + }, + "r=[1/8,65/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 160.50621002965585, + "r": 0.125, + "se": 1.709797343918105, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 106.80505992465137, + "r": 0.126953125, + "se": 1.2031114802985963, + "z0": 110.25000000000003 + } + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 151.8557184299235, + "r": 0.125, + "se": 1.3118002828764082, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 93.14068073799056, + "r": 0.126953125, + "se": 0.8461462788437691, + "z0": 95.67397807218536 + } + }, + "r=[1/8,65/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 53.88886441188798, + "r": 0.125, + "se": 0.40310341023877994, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.38181036745924, + "r": 0.126953125, + "se": 0.16760893729854684, + "z0": 21.887680211082625 + } + }, + "r=[1/8,65/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 382.8760165467582, + "r": 0.125, + "se": 2.8651009967581254, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 261.76394941096396, + "r": 0.126953125, + "se": 2.0524937471753386, + "z0": 268.12408258576215 + } + }, + "r=[127/512,1/4],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 21.66703841222904, + "r": 0.248046875, + "se": 0.23294513904380335, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.353103497755853, + "r": 0.25, + "se": 0.09505365914763927, + "z0": 9.000000000000002 + } + }, + "r=[127/512,1/4],b=[0,1/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 1.5, + "mc": 86.20430686061869, + "r": 0.248046875, + "se": 0.9287611719121043, + "z0": 93.07252185164437 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.25, + "mc": 52.003278000712136, + "r": 0.25, + "se": 0.5926149497968811, + "z0": 56.250000000000014 + } + }, + "r=[127/512,1/4],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 152.6178797598764, + "r": 0.248046875, + "se": 1.6470537162726862, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 101.49310980290527, + "r": 0.25, + "se": 1.158564260818886, + "z0": 110.25000000000003 + } + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.625, + "k": 0.75, + "mc": 36.63318128896455, + "r": 0.248046875, + "se": 0.31854439925634037, + "z0": 38.94652751322248 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 0.5, + "mc": 14.36038813553722, + "r": 0.25, + "se": 0.13140387065405526, + "z0": 15.307836491549658 + } + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 145.82167267687956, + "r": 0.248046875, + "se": 1.2705409886270644, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 89.41185490004015, + "r": 0.25, + "se": 0.8193936199765823, + "z0": 95.67397807218536 + } + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 2.0, + "mc": 258.2857803448861, + "r": 0.248046875, + "se": 2.2538621104996626, + "z0": 276.95308453847093 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.75, + "mc": 174.58215327995748, + "r": 0.25, + "se": 1.602410153373484, + "z0": 187.5209970214833 + } + }, + "r=[127/512,1/4],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 52.15709893646582, + "r": 0.248046875, + "se": 0.3920685615183201, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 20.678234841791408, + "r": 0.25, + "se": 0.16294061466747103, + "z0": 21.887680211082625 + } + }, + "r=[127/512,1/4],b=[7/8,1],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 1.5, + "mc": 207.70156914105834, + "r": 0.248046875, + "se": 1.5643273661179418, + "z0": 220.3314296011707 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.25, + "mc": 128.77763907839218, + "r": 0.25, + "se": 1.0163624068879975, + "z0": 136.7980013192664 + } + }, + "r=[127/512,1/4],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 368.0105626214123, + "r": 0.248046875, + "se": 2.7756477584295416, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 251.52851915670465, + "r": 0.25, + "se": 1.98806539882173, + "z0": 268.12408258576215 + } + }, + "r=[13/32,209/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 19.585358878300276, + "r": 0.40625, + "se": 0.21552809559423156, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 7.555497122908315, + "r": 0.408203125, + "se": 0.0879799911909895, + "z0": 9.000000000000002 + } + }, + "r=[13/32,209/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 132.93438069966737, + "r": 0.40625, + "se": 1.491203813955084, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 88.58676308604699, + "r": 0.408203125, + "se": 1.0501407514165493, + "z0": 110.25000000000003 + } + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 131.03076516302193, + "r": 0.40625, + "se": 1.1711290200889193, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 80.5366650177952, + "r": 0.408203125, + "se": 0.7563039092026647, + "z0": 95.67397807218536 + } + }, + "r=[13/32,209/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 48.16824655868736, + "r": 0.40625, + "se": 0.3669386487376712, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 19.12000525304503, + "r": 0.408203125, + "se": 0.152596997035232, + "z0": 21.887680211082625 + } + }, + "r=[13/32,209/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 329.8869095143961, + "r": 0.40625, + "se": 2.554475828901466, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 225.91221420365292, + "r": 0.408203125, + "se": 1.8315975476922628, + "z0": 268.12408258576215 + } + }, + "r=[255/512,1/2],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 17.973032467243115, + "r": 0.498046875, + "se": 0.20184130818011503, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 6.9570733805858325, + "r": 0.5, + "se": 0.08255055937329128, + "z0": 9.000000000000002 + } + }, + "r=[255/512,1/2],b=[0,1/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 1.5, + "mc": 68.18670785940853, + "r": 0.498046875, + "se": 0.7828132007575588, + "z0": 93.07252185164437 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.25, + "mc": 41.4336774957543, + "r": 0.5, + "se": 0.5015192734731162, + "z0": 56.250000000000014 + } + }, + "r=[255/512,1/2],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 116.62746126400837, + "r": 0.498046875, + "se": 1.3609667852280805, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 78.07074036058117, + "r": 0.5, + "se": 0.9607056122335541, + "z0": 110.25000000000003 + } + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.625, + "k": 0.75, + "mc": 31.128699178031766, + "r": 0.498046875, + "se": 0.27979025554512765, + "z0": 38.94652751322248 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 0.5, + "mc": 12.257927043970009, + "r": 0.5, + "se": 0.11570613948115706, + "z0": 15.307836491549658 + } + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 118.80766954124839, + "r": 0.498046875, + "se": 1.0894805485782835, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 73.34412014734367, + "r": 0.5, + "se": 0.7052218688371276, + "z0": 95.67397807218536 + } + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 2.0, + "mc": 204.1627395930312, + "r": 0.498046875, + "se": 1.8997780268154572, + "z0": 276.95308453847093 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.75, + "mc": 138.84734284054036, + "r": 0.5, + "se": 1.3549198139459702, + "z0": 187.5209970214833 + } + }, + "r=[255/512,1/2],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 44.99759605110683, + "r": 0.498046875, + "se": 0.3471424156047561, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 17.919607683174252, + "r": 0.5, + "se": 0.1446122969288448, + "z0": 21.887680211082625 + } + }, + "r=[255/512,1/2],b=[7/8,1],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 1.5, + "mc": 172.48856587436362, + "r": 0.498046875, + "se": 1.3558746445710324, + "z0": 220.3314296011707 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.25, + "mc": 107.6269827337865, + "r": 0.5, + "se": 0.8839833695044939, + "z0": 136.7980013192664 + } + }, + "r=[255/512,1/2],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 297.3584252717799, + "r": 0.498046875, + "se": 2.369313343477687, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 204.40129270854754, + "r": 0.5, + "se": 1.7020219558982521, + "z0": 268.12408258576215 + } + }, + "r=[5/16,161/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 20.93459571355186, + "r": 0.3125, + "se": 0.22685181038651903, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.068275523522788, + "r": 0.314453125, + "se": 0.09255304168766994, + "z0": 9.000000000000002 + } + }, + "r=[5/16,161/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 145.92869460869338, + "r": 0.3125, + "se": 1.594124850445416, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 97.07122212447717, + "r": 0.314453125, + "se": 1.1214997023950284, + "z0": 110.25000000000003 + } + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 140.77548315147592, + "r": 0.3125, + "se": 1.2364492220153547, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 86.3533603802783, + "r": 0.314453125, + "se": 0.7976113772727139, + "z0": 95.67397807218536 + } + }, + "r=[5/16,161/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 50.76819032685789, + "r": 0.3125, + "se": 0.38328064431830017, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 20.128166892283613, + "r": 0.314453125, + "se": 0.15928971648188733, + "z0": 21.887680211082625 + } + }, + "r=[5/16,161/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 355.2032769457118, + "r": 0.3125, + "se": 2.700479558324955, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 242.8551944866349, + "r": 0.314453125, + "se": 1.9345899956017962, + "z0": 268.12408258576215 + } + }, + "r=[7/32,113/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 21.944509861345797, + "r": 0.21875, + "se": 0.2352428039164965, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.462650734627454, + "r": 0.220703125, + "se": 0.09600614477588378, + "z0": 9.000000000000002 + } + }, + "r=[7/32,113/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 155.0605499988413, + "r": 0.21875, + "se": 1.6664260077181428, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 103.12348559703776, + "r": 0.220703125, + "se": 1.1722211037609012, + "z0": 110.25000000000003 + } + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 147.67720881669464, + "r": 0.21875, + "se": 1.2831483942428525, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 90.54722770024782, + "r": 0.220703125, + "se": 0.8275089699884773, + "z0": 95.67397807218536 + } + }, + "r=[7/32,113/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 52.678894105418415, + "r": 0.21875, + "se": 0.395381928828861, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 20.887617676476843, + "r": 0.220703125, + "se": 0.16433004268081536, + "z0": 21.887680211082625 + } + }, + "r=[7/32,113/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 372.6465383512778, + "r": 0.21875, + "se": 2.803202939589642, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 254.6939292660756, + "r": 0.220703125, + "se": 2.0077875434286145, + "z0": 268.12408258576215 + } + } + }, + "r_range": [ + "1/8", + "1/2" + ], + "r_steps": 192, + "statement": "For d = 2, every frame, every torus side L >= 10, every r in [1/8, 1/2], b in [0, 1], k in [1/2, 2]: Z_r / r^2 >= z_star.", + "table": { + "r=[1/4,129/512],b=[0,1/8],k=[1,5/4]": { + "floor": "464227028905297707555/18446744073709551616", + "floor_float": 25.165797663280742 + }, + "r=[1/4,129/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "110504592852406928761/18446744073709551616", + "floor_float": 5.990465982010287 + }, + "r=[1/4,129/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1054450105531696824673/18446744073709551616", + "floor_float": 57.161854759751755 + }, + "r=[1/4,129/512],b=[0,1/8],k=[3/4,1]": { + "floor": "64343213456223495387/4611686018427387904", + "floor_float": 13.952210362787211 + }, + "r=[1/4,129/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "730205816600109190169/18446744073709551616", + "floor_float": 39.58453663596951 + }, + "r=[1/4,129/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1436127964979183818769/18446744073709551616", + "floor_float": 77.85265297988087 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "814599036454082329761/18446744073709551616", + "floor_float": 44.15950225140573 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "97041455876392703179/9223372036854775808", + "floor_float": 10.521255728234118 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "925539433963874240449/9223372036854775808", + "floor_float": 100.34718650246366 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "225841923293659066499/9223372036854775808", + "floor_float": 24.48583038732898 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "640751477343841915619/9223372036854775808", + "floor_float": 69.47041437594899 + }, + "r=[1/4,129/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "315254220283463016495/2305843009213693952", + "floor_float": 136.71972420662175 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "155074661465835063199/4611686018427387904", + "floor_float": 33.626456971742506 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "36931704375372142265/4611686018427387904", + "floor_float": 8.008286823474178 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1409283667032513713783/18446744073709551616", + "floor_float": 76.39742067224948 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "343926840941042815071/18446744073709551616", + "floor_float": 18.644311406217756 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "487885584763001841417/9223372036854775808", + "floor_float": 52.89666109244073 + }, + "r=[1/4,129/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1919746090388665967019/18446744073709551616", + "floor_float": 104.06964409099726 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "134440367999901650775/4611686018427387904", + "floor_float": 29.15210781104881 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "128043539363286647369/18446744073709551616", + "floor_float": 6.941254177520429 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1221606610369580812315/18446744073709551616", + "floor_float": 66.22342704426764 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "74539364530652127847/4611686018427387904", + "floor_float": 16.1631481919644 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "845895112516850742355/18446744073709551616", + "floor_float": 45.856065934281986 + }, + "r=[1/4,129/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "207989498473346011945/2305843009213693952", + "floor_float": 90.2010664395889 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "131538710606757391095/2305843009213693952", + "floor_float": 57.045822322315374 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "250800726435384029943/18446744073709551616", + "floor_float": 13.595934623109303 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2391734241343648663191/18446744073709551616", + "floor_float": 129.65617302363768 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "72939106325085849279/2305843009213693952", + "floor_float": 31.63229501472371 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1655579523670851294931/18446744073709551616", + "floor_float": 89.74914581432267 + }, + "r=[1/4,129/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "407399828776248943955/2305843009213693952", + "floor_float": 176.68151177177265 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "356153145340372067879/9223372036854775808", + "floor_float": 38.6142013915577 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "169677742027632327239/18446744073709551616", + "floor_float": 9.198248826439697 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1618478497168175280335/18446744073709551616", + "floor_float": 87.7378951375405 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "98739086184601407825/4611686018427387904", + "floor_float": 21.41062635011566 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1120539343587531450167/18446744073709551616", + "floor_float": 60.74455953365413 + }, + "r=[1/4,129/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2204933352808578535743/18446744073709551616", + "floor_float": 119.5296765650404 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "463869071674986434609/9223372036854775808", + "floor_float": 50.29278552588545 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "221074745279440648277/18446744073709551616", + "floor_float": 11.984485955682453 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2108402689594813516599/18446744073709551616", + "floor_float": 114.29673882664888 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "514425025540376820003/18446744073709551616", + "floor_float": 27.887036513589383 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1459549897015665999559/18446744073709551616", + "floor_float": 79.12235845976896 + }, + "r=[1/4,129/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1436434133773944934151/9223372036854775808", + "floor_float": 155.73850084700447 + }, + "r=[1/4,129/512],b=[7/8,1],k=[1,5/4]": { + "floor": "37158797062292631821/576460752303423488", + "floor_float": 64.46023760301705 + }, + "r=[1/4,129/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "141677768813820765611/9223372036854775808", + "floor_float": 15.360734474084353 + }, + "r=[1/4,129/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2702879217897330345399/18446744073709551616", + "floor_float": 146.52337600051032 + }, + "r=[1/4,129/512],b=[7/8,1],k=[3/4,1]": { + "floor": "329676312133520183835/9223372036854775808", + "floor_float": 35.743577383217186 + }, + "r=[1/4,129/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "935415333230037863345/9223372036854775808", + "floor_float": 101.41793364642591 + }, + "r=[1/4,129/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3683502291978303745643/18446744073709551616", + "floor_float": 199.6830593659106 + }, + "r=[1/8,65/512],b=[0,1/8],k=[1,5/4]": { + "floor": "529879549979066847889/18446744073709551616", + "floor_float": 28.724827962147284 + }, + "r=[1/8,65/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "32445944443498746725/4611686018427387904", + "floor_float": 7.035592690797064 + }, + "r=[1/8,65/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "598365893732635746151/9223372036854775808", + "floor_float": 64.87496019261542 + }, + "r=[1/8,65/512],b=[0,1/8],k=[3/4,1]": { + "floor": "9258426417136355137/576460752303423488", + "floor_float": 16.060809656410274 + }, + "r=[1/8,65/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "830177484697648076441/18446744073709551616", + "floor_float": 45.004011622887084 + }, + "r=[1/8,65/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1629112841353939926289/18446744073709551616", + "floor_float": 88.31438409099873 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "230066085275112034415/4611686018427387904", + "floor_float": 49.88762989410236 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "225527148779310291781/18446744073709551616", + "floor_float": 12.22585123304949 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "519655634656999774795/4611686018427387904", + "floor_float": 112.68235360789055 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "514626539981118542679/18446744073709551616", + "floor_float": 27.897960633311353 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "360454213315552993233/4611686018427387904", + "floor_float": 78.1610482316552 + }, + "r=[1/8,65/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "707506373356353413033/4611686018427387904", + "floor_float": 153.41598940805974 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "704226905956868735613/18446744073709551616", + "floor_float": 38.1762170680591 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "172547778703436381271/18446744073709551616", + "floor_float": 9.353833826390689 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "49705086600976633967/576460752303423488", + "floor_float": 86.22458060217441 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "196890437926165463047/9223372036854775808", + "floor_float": 21.346904054117097 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "551668799138785684897/9223372036854775808", + "floor_float": 59.81205105187408 + }, + "r=[1/8,65/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2165380736514660792599/18446744073709551616", + "floor_float": 117.38552493937284 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "306072420835424701149/9223372036854775808", + "floor_float": 33.18443836076651 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "149962893073459642747/18446744073709551616", + "floor_float": 8.129504723122817 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1382557278403713012569/18446744073709551616", + "floor_float": 74.9485802415476 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "171140412109019514365/9223372036854775808", + "floor_float": 18.55508066086635 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "959065552156110504909/18446744073709551616", + "floor_float": 51.99104776018324 + }, + "r=[1/8,65/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1882131763734952406789/18446744073709551616", + "floor_float": 102.03056735727047 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "591708069652530536355/9223372036854775808", + "floor_float": 64.15311745944778 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "290014733858130699529/18446744073709551616", + "floor_float": 15.721730225089534 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1336657850811532160007/9223372036854775808", + "floor_float": 144.92073457196685 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "661736505925731274677/18446744073709551616", + "floor_float": 35.87280786688223 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1854223864815776263363/18446744073709551616", + "floor_float": 100.51767712538664 + }, + "r=[1/8,65/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1819971739752804810079/9223372036854775808", + "floor_float": 197.32173141022142 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "403334305650260327331/9223372036854775808", + "floor_float": 43.72959304239447 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "197680371475560565561/18446744073709551616", + "floor_float": 10.716274410577215 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "455494876660434064939/4611686018427387904", + "floor_float": 98.7697069662519 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "225539583625551723663/9223372036854775808", + "floor_float": 24.453050654829926 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1263831019418587712517/18446744073709551616", + "floor_float": 68.51241684541013 + }, + "r=[1/8,65/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2480520135253693688101/18446744073709551616", + "floor_float": 134.4692659768046 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "522826728479307710743/9223372036854775808", + "floor_float": 56.68498748507544 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "64063980517804783215/4611686018427387904", + "floor_float": 13.891661371094596 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1180968429860279319971/9223372036854775808", + "floor_float": 128.040853729131 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "292357104354389803087/9223372036854775808", + "floor_float": 31.697420768260077 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "819145382740767877621/9223372036854775808", + "floor_float": 88.81192035490106 + }, + "r=[1/8,65/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3215866070401379664695/18446744073709551616", + "floor_float": 174.3324489975799 + }, + "r=[1/8,65/512],b=[7/8,1],k=[1,5/4]": { + "floor": "667166294352878049635/9223372036854775808", + "floor_float": 72.3343145746494 + }, + "r=[1/8,65/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "326992298311229104351/18446744073709551616", + "floor_float": 17.726288010753137 + }, + "r=[1/8,65/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3014497387486563905795/18446744073709551616", + "floor_float": 163.4162308232405 + }, + "r=[1/8,65/512],b=[7/8,1],k=[3/4,1]": { + "floor": "746111079305749039441/18446744073709551616", + "floor_float": 40.44676265493988 + }, + "r=[1/8,65/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2090760086856981639581/18446744073709551616", + "floor_float": 113.34033141581607 + }, + "r=[1/8,65/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1026157006236314586019/4611686018427387904", + "floor_float": 222.51233109452673 + }, + "r=[101/256,203/512],b=[0,1/8],k=[1,5/4]": { + "floor": "91678483834911396607/4611686018427387904", + "floor_float": 19.879602268797626 + }, + "r=[101/256,203/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "84163277710406004361/18446744073709551616", + "floor_float": 4.562500426856151 + }, + "r=[101/256,203/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "832476878165208502145/18446744073709551616", + "floor_float": 45.12866199253348 + }, + "r=[101/256,203/512],b=[0,1/8],k=[3/4,1]": { + "floor": "50396151531724989507/4611686018427387904", + "floor_float": 10.927923395120983 + }, + "r=[101/256,203/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "577654644893771076153/18446744073709551616", + "floor_float": 31.31472104700846 + }, + "r=[101/256,203/512],b=[0,1/8],k=[7/4,2]": { + "floor": "564601670110753909647/9223372036854775808", + "floor_float": 61.21423573230235 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "82046954820421013007/2305843009213693952", + "floor_float": 35.582194664848195 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "75288585877757613177/9223372036854775808", + "floor_float": 8.162804837202627 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1493088352265378485723/18446744073709551616", + "floor_float": 80.94048176194627 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "360522697588624601673/18446744073709551616", + "floor_float": 19.543974597796065 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1034908958958918541351/18446744073709551616", + "floor_float": 56.10252708139856 + }, + "r=[101/256,203/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "506990760348562407705/4611686018427387904", + "floor_float": 109.93609675999782 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "495113001088791281207/18446744073709551616", + "floor_float": 26.84012957031427 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "28403952573599532757/4611686018427387904", + "floor_float": 6.159125417494369 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1125075763323333135907/18446744073709551616", + "floor_float": 60.99047934029725 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "136017434756153910949/9223372036854775808", + "floor_float": 14.747039825852744 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "780270145022035497405/18446744073709551616", + "floor_float": 42.298529317923524 + }, + "r=[101/256,203/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "763533374300779298081/9223372036854775808", + "floor_float": 82.78245431820928 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "213520368320279321833/9223372036854775808", + "floor_float": 23.14992472027519 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "98006619103978678235/18446744073709551616", + "floor_float": 5.312949467524652 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "484959595541140205931/9223372036854775808", + "floor_float": 52.57942470533958 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "117348848232052057845/9223372036854775808", + "floor_float": 12.72298761918626 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "336425536329336654625/9223372036854775808", + "floor_float": 36.47532973678678 + }, + "r=[101/256,203/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "658021261518511929831/9223372036854775808", + "floor_float": 71.34280812800229 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "855196391205573052917/18446744073709551616", + "floor_float": 46.360289262342285 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "196121004000579641821/18446744073709551616", + "floor_float": 10.631740930373338 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "243444776712250448767/2305843009213693952", + "floor_float": 105.5773423166682 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "234788468077772507213/9223372036854775808", + "floor_float": 25.455816716446446 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1349159347469544320337/18446744073709551616", + "floor_float": 73.13807477778028 + }, + "r=[101/256,203/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "661689888872001507063/4611686018427387904", + "floor_float": 143.48112300534322 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "571315518374308430723/18446744073709551616", + "floor_float": 30.971076309805365 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "65543332384421922553/9223372036854775808", + "floor_float": 7.106222336312976 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1298849299659649999679/18446744073709551616", + "floor_float": 70.41076162111342 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "313841574485113154943/18446744073709551616", + "floor_float": 17.013385843651548 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "900550417633897042901/18446744073709551616", + "floor_float": 48.81893596156998 + }, + "r=[101/256,203/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1763569495038030845035/18446744073709551616", + "floor_float": 95.60329389246985 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "750812834578843495113/18446744073709551616", + "floor_float": 40.701645319019086 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "172217590574246416529/18446744073709551616", + "floor_float": 9.335934292040855 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "854455404781671358479/9223372036854775808", + "floor_float": 92.64024061562692 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "206166112944095031809/9223372036854775808", + "floor_float": 22.35257475468797 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1184139303095111407281/18446744073709551616", + "floor_float": 64.19232024705956 + }, + "r=[101/256,203/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2321769738683152229815/18446744073709551616", + "floor_float": 125.86338973456878 + }, + "r=[101/256,203/512],b=[7/8,1],k=[1,5/4]": { + "floor": "970222321574194947423/18446744073709551616", + "floor_float": 52.595857442233594 + }, + "r=[101/256,203/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "222440660464604618563/18446744073709551616", + "floor_float": 12.058532366241739 + }, + "r=[101/256,203/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "276339512520524236693/2305843009213693952", + "floor_float": 119.84315992733505 + }, + "r=[101/256,203/512],b=[7/8,1],k=[3/4,1]": { + "floor": "33289350786985097009/1152921504606846976", + "floor_float": 28.87390915510502 + }, + "r=[101/256,203/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1531024135895036127573/18446744073709551616", + "floor_float": 82.99698471325702 + }, + "r=[101/256,203/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3005255512515865511059/18446744073709551616", + "floor_float": 162.91522777718697 + }, + "r=[101/512,51/256],b=[0,1/8],k=[1,5/4]": { + "floor": "494394835253045152755/18446744073709551616", + "floor_float": 26.80119772234823 + }, + "r=[101/512,51/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "59586584859480336979/9223372036854775808", + "floor_float": 6.460390475564044 + }, + "r=[101/512,51/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1120709672258841185221/18446744073709551616", + "floor_float": 60.753793069427665 + }, + "r=[101/512,51/256],b=[0,1/8],k=[3/4,1]": { + "floor": "275094188637956635745/18446744073709551616", + "floor_float": 14.912885847970488 + }, + "r=[101/512,51/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "194117836460932495795/4611686018427387904", + "floor_float": 42.092596001825775 + }, + "r=[101/512,51/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1526506460028231801447/18446744073709551616", + "floor_float": 82.75208101378828 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "863179427247079880753/18446744073709551616", + "floor_float": 46.79305051330387 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "104131206565444725337/9223372036854775808", + "floor_float": 11.2899280381792 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1957077575336793648169/18446744073709551616", + "floor_float": 106.09338794514076 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "480370884880369448353/18446744073709551616", + "floor_float": 26.040957849304036 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "677864932811596097127/9223372036854775808", + "floor_float": 73.4942632806073 + }, + "r=[101/512,51/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2666283994345661736307/18446744073709551616", + "floor_float": 144.53954495664473 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "658876629465763122607/18446744073709551616", + "floor_float": 35.71777365333536 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "79453339835097760507/9223372036854775808", + "floor_float": 8.614348366044206 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1493722690106791894671/18446744073709551616", + "floor_float": 80.97486928523378 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "366645323795064654377/18446744073709551616", + "floor_float": 19.875882829513017 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "517412612355054637907/9223372036854775808", + "floor_float": 56.09798783867504 + }, + "r=[101/512,51/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2034808427152516884823/18446744073709551616", + "floor_float": 110.30718586552855 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "285970122744810630211/9223372036854775808", + "floor_float": 31.004942834587006 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "137914197126350286759/18446744073709551616", + "floor_float": 7.476343607049155 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "324137548729737088239/4611686018427387904", + "floor_float": 70.2861269033814 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "9945598094309319453/576460752303423488", + "floor_float": 17.25286249682857 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "224566446633904621355/4611686018427387904", + "floor_float": 48.6950858615659 + }, + "r=[101/512,51/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "441528238361093409165/4611686018427387904", + "floor_float": 95.74117504895902 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1112613482127031302273/18446744073709551616", + "floor_float": 60.31489772293946 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "268459549362370495923/18446744073709551616", + "floor_float": 14.553221332158081 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "157680283761420590807/1152921504606846976", + "floor_float": 136.76584496981042 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "619221156367538835935/18446744073709551616", + "floor_float": 33.56804614913359 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1747549610149053117099/18446744073709551616", + "floor_float": 94.73485419248999 + }, + "r=[101/512,51/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1718741580033269146365/9223372036854775808", + "floor_float": 186.3463355013239 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "377842426266450478179/9223372036854775808", + "floor_float": 40.96575794152796 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "182293046685685111797/18446744073709551616", + "floor_float": 9.882125862281065 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1713273723086041257121/18446744073709551616", + "floor_float": 92.87675463161072 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "210266420275656066441/9223372036854775808", + "floor_float": 22.797130966361642 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1186883613991893445271/18446744073709551616", + "floor_float": 64.34108963887289 + }, + "r=[101/512,51/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "291751411887113338705/2305843009213693952", + "floor_float": 126.5270058374886 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "981955518525531734849/18446744073709551616", + "floor_float": 53.231915323475576 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "236950161473560710725/18446744073709551616", + "floor_float": 12.84509399202128 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1113250861252413574067/9223372036854775808", + "floor_float": 120.69890022912257 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "273243246683489989635/9223372036854775808", + "floor_float": 29.625092167123245 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1542308559298497297681/18446744073709551616", + "floor_float": 83.60871453172096 + }, + "r=[101/512,51/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "758374981458132737531/4611686018427387904", + "floor_float": 164.44636049111233 + }, + "r=[101/512,51/256],b=[7/8,1],k=[1,5/4]": { + "floor": "313982471989745848447/4611686018427387904", + "floor_float": 68.0840956507303 + }, + "r=[101/512,51/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "151501578482180884887/9223372036854775808", + "floor_float": 16.425834052536366 + }, + "r=[101/512,51/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "178002219422608490419/1152921504606846976", + "floor_float": 154.39231440418686 + }, + "r=[101/512,51/256],b=[7/8,1],k=[3/4,1]": { + "floor": "698951497399169138537/18446744073709551616", + "floor_float": 37.89023659710878 + }, + "r=[101/512,51/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1972694480896426843965/18446744073709551616", + "floor_float": 106.93998209190352 + }, + "r=[101/512,51/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3880702916571075119933/18446744073709551616", + "floor_float": 210.37332664585963 + }, + "r=[103/256,207/512],b=[0,1/8],k=[1,5/4]": { + "floor": "90245864724490490861/4611686018427387904", + "floor_float": 19.568952518425107 + }, + "r=[103/256,207/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "82684044436958730193/18446744073709551616", + "floor_float": 4.482311030421932 + }, + "r=[103/256,207/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "819121226846481024213/18446744073709551616", + "floor_float": 44.40465068379732 + }, + "r=[103/256,207/512],b=[0,1/8],k=[3/4,1]": { + "floor": "49589571565193504335/4611686018427387904", + "floor_float": 10.753024244721638 + }, + "r=[103/256,207/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "71073751031428900481/2305843009213693952", + "floor_float": 30.82332610998763 + }, + "r=[103/256,207/512],b=[0,1/8],k=[7/4,2]": { + "floor": "555280376755004455997/9223372036854775808", + "floor_float": 60.20361908163452 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "323492837728917625241/9223372036854775808", + "floor_float": 35.07316374491933 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "148109815263378995511/18446744073709551616", + "floor_float": 8.029049173749112 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1471393261571587768573/18446744073709551616", + "floor_float": 79.76438853882237 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "11100337047018835305/576460752303423488", + "floor_float": 19.25601526671864 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1020086607586972869451/18446744073709551616", + "floor_float": 55.299005803458215 + }, + "r=[103/256,207/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1997711541187977326565/18446744073709551616", + "floor_float": 108.29615964776852 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "487720661776323628793/18446744073709551616", + "floor_float": 26.4393900531979 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "27922037484903606473/4611686018427387904", + "floor_float": 6.0546267402708365 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "553941798703770690807/9223372036854775808", + "floor_float": 60.05849015851562 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "267869008128800353337/18446744073709551616", + "floor_float": 14.52120802773913 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "96070336321699636145/2305843009213693952", + "floor_float": 41.66386694055993 + }, + "r=[103/256,207/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "751599850978113953301/9223372036854775808", + "floor_float": 81.48861912702526 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "420528774220508961167/18446744073709551616", + "floor_float": 22.7969105301271 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "48156719449584036713/9223372036854775808", + "floor_float": 5.2211619847013955 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "954724057860090328783/18446744073709551616", + "floor_float": 51.75569488280432 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "231021056676972676481/18446744073709551616", + "floor_float": 12.523676576953532 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "662526803879790446627/18446744073709551616", + "floor_float": 35.91565000481733 + }, + "r=[103/256,207/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "161862025664653224467/2305843009213693952", + "floor_float": 70.1964639474086 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "210868647319026740237/4611686018427387904", + "floor_float": 45.724849106473684 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "193000625723875328503/18446744073709551616", + "floor_float": 10.462584885044368 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "480119524137616200573/4611686018427387904", + "floor_float": 104.10932622454202 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "462905876051285328089/18446744073709551616", + "floor_float": 25.09417782355546 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "332671635744987415411/4611686018427387904", + "floor_float": 72.13666203980435 + }, + "r=[103/256,207/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "652273125852441932907/4611686018427387904", + "floor_float": 141.43918802062566 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "562960273036795706371/18446744073709551616", + "floor_float": 30.518137552476333 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "128900365284108499527/18446744073709551616", + "floor_float": 6.987702803760277 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1279514468767428055801/18446744073709551616", + "floor_float": 69.36261833821408 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "19320618406567175085/1152921504606846976", + "floor_float": 16.757965160130844 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "887340683517173408037/18446744073709551616", + "floor_float": 48.10283484020459 + }, + "r=[103/256,207/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1736643729334667366389/18446744073709551616", + "floor_float": 94.14364520889873 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "740296013690873013461/18446744073709551616", + "floor_float": 40.131527316300165 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "84718898893974530785/9223372036854775808", + "floor_float": 9.185241423142699 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "842310362119522946303/9223372036854775808", + "floor_float": 91.32347245170388 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "406367478057327398165/18446744073709551616", + "floor_float": 22.029225126860496 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "583790534339207020413/9223372036854775808", + "floor_float": 63.294696560704175 + }, + "r=[103/256,207/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2287930965393525908567/18446744073709551616", + "floor_float": 124.02898615882592 + }, + "r=[103/256,207/512],b=[7/8,1],k=[1,5/4]": { + "floor": "59824503287560364823/1152921504606846976", + "floor_float": 51.88948514579132 + }, + "r=[103/256,207/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "218952998024705505729/18446744073709551616", + "floor_float": 11.869465806530004 + }, + "r=[103/256,207/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1090322504243913557339/9223372036854775808", + "floor_float": 118.21300278110867 + }, + "r=[103/256,207/512],b=[7/8,1],k=[3/4,1]": { + "floor": "525200957157521452259/18446744073709551616", + "floor_float": 28.471200937082553 + }, + "r=[103/256,207/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1510507689445117172761/18446744073709551616", + "floor_float": 81.88478592262278 + }, + "r=[103/256,207/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1481763656339732778231/9223372036854775808", + "floor_float": 160.65313753136027 + }, + "r=[103/512,13/64],b=[0,1/8],k=[1,5/4]": { + "floor": "246138513331806652317/9223372036854775808", + "floor_float": 26.68639108866971 + }, + "r=[103/512,13/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "29639033463305878829/4611686018427387904", + "floor_float": 6.42694089425736 + }, + "r=[103/512,13/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "139514143462676308331/2305843009213693952", + "floor_float": 60.5046149738752 + }, + "r=[103/512,13/64],b=[0,1/8],k=[3/4,1]": { + "floor": "273841394465702819137/18446744073709551616", + "floor_float": 14.844971739808749 + }, + "r=[103/512,13/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "773242744862802563189/18446744073709551616", + "floor_float": 41.91757319194526 + }, + "r=[103/512,13/64],b=[0,1/8],k=[7/4,2]": { + "floor": "190033413595579857041/2305843009213693952", + "floor_float": 82.41385594606562 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "859772929997017571981/18446744073709551616", + "floor_float": 46.6083839273497 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "51813309887762337763/4611686018427387904", + "floor_float": 11.235220628795318 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1949713973571168237877/18446744073709551616", + "floor_float": 105.6942062935603 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "29896683376457955177/1152921504606846976", + "floor_float": 25.931239253493583 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "337637668704722748263/4611686018427387904", + "floor_float": 73.21349878452028 + }, + "r=[103/512,13/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2656301866243366197055/18446744073709551616", + "floor_float": 143.99841270791788 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "164043426920931112509/4611686018427387904", + "floor_float": 35.571247969928116 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "2470487620354913463/288230376151711744", + "floor_float": 8.571225744279491 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "92991332903892340863/1152921504606846976", + "floor_float": 80.65712412537827 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "365043212839719715491/18446744073709551616", + "floor_float": 19.789032220595626 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "16104819431181082641/288230376151711744", + "floor_float": 55.874816687274546 + }, + "r=[103/512,13/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2026853723702627142567/18446744073709551616", + "floor_float": 109.87596052743613 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "284773011343936082923/9223372036854775808", + "floor_float": 30.87515175643347 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "34302763169484851415/4611686018427387904", + "floor_float": 7.438226070122245 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1291351292846412860391/18446744073709551616", + "floor_float": 70.00429385730229 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "316840783601931737285/18446744073709551616", + "floor_float": 17.175973295661198 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "447308341348132567005/9223372036854775808", + "floor_float": 48.497267546053294 + }, + "r=[103/512,13/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "219881707266523147487/2305843009213693952", + "floor_float": 95.35848988327444 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1108388385341637977825/18446744073709551616", + "floor_float": 60.08585476725521 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "133601808454621682347/9223372036854775808", + "floor_float": 14.485137097449305 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1256894701302205432349/9223372036854775808", + "floor_float": 136.27279657373703 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "616702766718138348221/18446744073709551616", + "floor_float": 33.43152397268134 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "870570599262830681469/9223372036854775808", + "floor_float": 94.38745350227686 + }, + "r=[103/512,13/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3425169551417617996317/18446744073709551616", + "floor_float": 185.67881343890912 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "752644053761595017559/18446744073709551616", + "floor_float": 40.800915909830906 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "181395402404478833959/18446744073709551616", + "floor_float": 9.833464468290913 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "426672556552453489367/4611686018427387904", + "floor_float": 92.51986255082286 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "104682198325320719453/4611686018427387904", + "floor_float": 22.69933336897423 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "295564144799412408971/4611686018427387904", + "floor_float": 64.09025758006862 + }, + "r=[103/512,13/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2325080366806503910317/18446744073709551616", + "floor_float": 126.04285924475025 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "978153583955875478659/18446744073709551616", + "floor_float": 53.02581203747212 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "58956308810947244353/4611686018427387904", + "floor_float": 12.784111618911059 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "554575380139241675587/4611686018427387904", + "floor_float": 120.25436639078806 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "544224374223524302485/18446744073709551616", + "floor_float": 29.502462442635462 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "192066832794288905771/2305843009213693952", + "floor_float": 83.29571095119127 + }, + "r=[103/512,13/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "377799382547081850027/2305843009213693952", + "floor_float": 163.84436452849133 + }, + "r=[103/512,13/64],b=[7/8,1],k=[1,5/4]": { + "floor": "1251250180320006644337/18446744073709551616", + "floor_float": 67.83040819129153 + }, + "r=[103/512,13/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "18850386031096976647/1152921504606846976", + "floor_float": 16.350103589684597 + }, + "r=[103/512,13/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1418984894784323054973/9223372036854775808", + "floor_float": 153.84665056492778 + }, + "r=[103/512,13/64],b=[7/8,1],k=[3/4,1]": { + "floor": "348084747536041194183/9223372036854775808", + "floor_float": 37.73942394876442 + }, + "r=[103/512,13/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1965600356485894934623/18446744073709551616", + "floor_float": 106.55540883701447 + }, + "r=[103/512,13/64],b=[7/8,1],k=[7/4,2]": { + "floor": "3867076933071997236631/18446744073709551616", + "floor_float": 209.63466060026204 + }, + "r=[105/256,211/512],b=[0,1/8],k=[1,5/4]": { + "floor": "355227922968404921509/18446744073709551616", + "floor_float": 19.256944290492903 + }, + "r=[105/256,211/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "20300655479557900425/4611686018427387904", + "floor_float": 4.4020029547632875 + }, + "r=[105/256,211/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "100707514362600380007/2305843009213693952", + "floor_float": 43.674922343018586 + }, + "r=[105/256,211/512],b=[0,1/8],k=[3/4,1]": { + "floor": "1524373379557041921/144115188075855872", + "floor_float": 10.577465150686818 + }, + "r=[105/256,211/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "139860995760583240343/4611686018427387904", + "floor_float": 30.327519089922056 + }, + "r=[105/256,211/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1091813626293099149953/18446744073709551616", + "floor_float": 59.18733527881274 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "318771733070069749025/9223372036854775808", + "floor_float": 34.561300552153895 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "72817379049503410591/9223372036854775808", + "floor_float": 7.894876056017205 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1449464443737144274779/18446744073709551616", + "floor_float": 78.57562494201525 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "21866786060004101159/1152921504606846976", + "floor_float": 18.966413561225753 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1005161837145350952095/18446744073709551616", + "floor_float": 54.48993237662552 + }, + "r=[105/256,211/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1967152076430614230739/18446744073709551616", + "floor_float": 106.63952774377215 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "30017029719657052543/1152921504606846976", + "floor_float": 26.035623066891304 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "109760038745654764733/18446744073709551616", + "floor_float": 5.950103623006602 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "545293270301336504483/9223372036854775808", + "floor_float": 59.12081483024345 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "263682771436665628371/18446744073709551616", + "floor_float": 14.29427168193158 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "378388272502134673241/9223372036854775808", + "floor_float": 41.02493870898515 + }, + "r=[105/256,211/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "369764277886385894695/4611686018427387904", + "floor_float": 80.17984667839067 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "206982944249197880989/9223372036854775808", + "floor_float": 22.44113578224264 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "47309578722094312201/9223372036854775808", + "floor_float": 5.1293148029868645 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "939436253454312238409/18446744073709551616", + "floor_float": 50.92694134534042 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "113668434602382223219/9223372036854775808", + "floor_float": 12.32395637389293 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "326059110326991931391/9223372036854775808", + "floor_float": 35.35139957752154 + }, + "r=[105/256,211/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "318399476247404048465/4611686018427387904", + "floor_float": 69.04188077313644 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "831666997540931678267/18446744073709551616", + "floor_float": 45.08475827591874 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "189870766699236080147/18446744073709551616", + "floor_float": 10.292914887340006 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "473286030307707764907/4611686018427387904", + "floor_float": 102.62754845333141 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "456205549538459770823/18446744073709551616", + "floor_float": 24.730952395477075 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1312033957195031706423/18446744073709551616", + "floor_float": 71.12550333828034 + }, + "r=[105/256,211/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1285549571567280512241/9223372036854775808", + "floor_float": 139.3795638331055 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "277274254312178267077/9223372036854775808", + "floor_float": 30.06213488995619 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "126711132674460056237/18446744073709551616", + "floor_float": 6.869024266187429 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1260004858481647621155/18446744073709551616", + "floor_float": 68.30500024540464 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "304390326685374094907/18446744073709551616", + "floor_float": 16.50103267379275 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "218513687975974253835/4611686018427387904", + "floor_float": 47.382603044274184 + }, + "r=[105/256,211/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1709416573031999696339/18446744073709551616", + "floor_float": 92.667658108201 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "182430255509150871371/4611686018427387904", + "floor_float": 39.558255870021405 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "166648896216940042281/18446744073709551616", + "floor_float": 9.034054766035888 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "415020387028994681307/4611686018427387904", + "floor_float": 89.99320104852218 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "400372327147423628487/18446744073709551616", + "floor_float": 21.70422734481569 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1150862715086285196179/18446744073709551616", + "floor_float": 62.388392796455825 + }, + "r=[105/256,211/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1126895235361753343337/9223372036854775808", + "floor_float": 122.17822623427769 + }, + "r=[105/256,211/512],b=[7/8,1],k=[1,5/4]": { + "floor": "118006248517030942399/2305843009213693952", + "floor_float": 51.17705240361171 + }, + "r=[105/256,211/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "53864008906242224459/4611686018427387904", + "floor_float": 11.679895094985277 + }, + "r=[105/256,211/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "67197408524113604425/576460752303423488", + "floor_float": 116.56892209158387 + }, + "r=[105/256,211/512],b=[7/8,1],k=[3/4,1]": { + "floor": "258867356738382334913/9223372036854775808", + "floor_float": 28.06645505613342 + }, + "r=[105/256,211/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1489795759081308255831/18446744073709551616", + "floor_float": 80.76198992778228 + }, + "r=[105/256,211/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1460677838659590819349/9223372036854775808", + "floor_float": 158.36700859761595 + }, + "r=[105/512,53/256],b=[0,1/8],k=[1,5/4]": { + "floor": "61267686859197607975/2305843009213693952", + "floor_float": 26.570623678361457 + }, + "r=[105/512,53/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "58967850692688835781/9223372036854775808", + "floor_float": 6.39330718278141 + }, + "r=[105/512,53/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "138933463773589048461/2305843009213693952", + "floor_float": 60.25278530170455 + }, + "r=[105/512,53/256],b=[0,1/8],k=[3/4,1]": { + "floor": "136289968800644846509/9223372036854775808", + "floor_float": 14.776588026164076 + }, + "r=[105/512,53/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "384992935412146365429/9223372036854775808", + "floor_float": 41.74101769654206 + }, + "r=[105/512,53/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1513947918317170453631/18446744073709551616", + "floor_float": 82.07128110346916 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "856334308310945011073/18446744073709551616", + "floor_float": 46.421975872229915 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "51559242455844372937/4611686018427387904", + "floor_float": 11.180128536466665 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1942274003927630017757/18446744073709551616", + "floor_float": 105.29088473102279 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "476305866971590716065/18446744073709551616", + "floor_float": 25.820592786909515 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1345319936086673689015/18446744073709551616", + "floor_float": 72.92993986966158 + }, + "r=[105/512,53/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2646212843775256087793/18446744073709551616", + "floor_float": 143.45148570400886 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "653444172839628858605/18446744073709551616", + "floor_float": 35.42327958953595 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "157309970924201281847/18446744073709551616", + "floor_float": 8.527790611482528 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "370483230305799977141/4611686018427387904", + "floor_float": 80.33574463339916 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "363427058313099208935/18446744073709551616", + "floor_float": 19.701420308153914 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1026547488200907041887/18446744073709551616", + "floor_float": 55.64925084334806 + }, + "r=[105/512,53/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1009401457928546748811/9223372036854775808", + "floor_float": 109.4395253596166 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "141782111693328334837/4611686018427387904", + "floor_float": 30.744094703497804 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "17062910396550213809/2305843009213693952", + "floor_float": 7.399857808346097 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1286092265515613219515/18446744073709551616", + "floor_float": 69.7192014144416 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "315411295205843100941/18446744073709551616", + "floor_float": 17.09848057443209 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "222732041964189467341/4611686018427387904", + "floor_float": 48.297312755941356 + }, + "r=[105/512,53/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "437977008564778822379/4611686018427387904", + "floor_float": 94.97112483692712 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "552062423193243140509/9223372036854775808", + "floor_float": 59.854727857372616 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "265939648330026141611/18446744073709551616", + "floor_float": 14.41661722347227 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1252297610639939198795/9223372036854775808", + "floor_float": 135.77437900542284 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "614165423885616043533/18446744073709551616", + "floor_float": 33.29397434211328 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1734668779789522262233/18446744073709551616", + "floor_float": 94.03658297952896 + }, + "r=[105/512,53/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1706354290512004672221/9223372036854775808", + "floor_float": 185.0033028803077 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "749573699784577268395/18446744073709551616", + "floor_float": 40.6344716872218 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "90245630321788790213/9223372036854775808", + "floor_float": 9.784450845220713 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "425008227300291036099/4611686018427387904", + "floor_float": 92.15896867263773 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "208454521125140435155/9223372036854775808", + "floor_float": 22.600684466830273 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "294395212662337992471/4611686018427387904", + "floor_float": 63.83678582756779 + }, + "r=[105/512,53/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "144752889547336329847/1152921504606846976", + "floor_float": 125.55311785662106 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "974318515305128822035/18446744073709551616", + "floor_float": 52.81791254933359 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "234689371295580254257/18446744073709551616", + "floor_float": 12.722536310896265 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "552504148751931087145/4611686018427387904", + "floor_float": 119.8052396768196 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "67743011276533874865/2305843009213693952", + "floor_float": 29.37884799869122 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1530707630757509657549/18446744073709551616", + "floor_float": 82.97982693537156 + }, + "r=[105/512,53/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1505585101604713920525/9223372036854775808", + "floor_float": 163.23586380216398 + }, + "r=[105/512,53/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1246525207246272535807/18446744073709551616", + "floor_float": 67.57426688771761 + }, + "r=[105/512,53/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "300199492570009341489/18446744073709551616", + "floor_float": 16.27384710117251 + }, + "r=[105/512,53/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1413895064972868035693/9223372036854775808", + "floor_float": 153.29481011101169 + }, + "r=[105/512,53/256],b=[7/8,1],k=[3/4,1]": { + "floor": "346681984519110720033/9223372036854775808", + "floor_float": 37.587336077720586 + }, + "r=[105/512,53/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "979215721712524019451/9223372036854775808", + "floor_float": 106.16678128126797 + }, + "r=[105/512,53/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1926644401447539179479/9223372036854775808", + "floor_float": 208.88720456564562 + }, + "r=[107/256,215/512],b=[0,1/8],k=[1,5/4]": { + "floor": "349434636300579913861/18446744073709551616", + "floor_float": 18.94288959093854 + }, + "r=[107/256,215/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "39860760188882787597/9223372036854775808", + "floor_float": 4.3217122793710425 + }, + "r=[107/256,215/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "396060073221775723209/9223372036854775808", + "floor_float": 42.94091918218172 + }, + "r=[107/256,215/512],b=[0,1/8],k=[3/4,1]": { + "floor": "11991943902108590437/1152921504606846976", + "floor_float": 10.401353304792345 + }, + "r=[107/256,215/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "68780239474262433293/2305843009213693952", + "floor_float": 29.828674024827432 + }, + "r=[107/256,215/512],b=[0,1/8],k=[7/4,2]": { + "floor": "134112372723436352305/2305843009213693952", + "floor_float": 58.16197034557416 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "157010187238853241489/4611686018427387904", + "floor_float": 34.0461572213441 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "143154743483839052303/18446744073709551616", + "floor_float": 7.760434194339171 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "713675169348797281879/9223372036854775808", + "floor_float": 77.37681690569264 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "86125949697191416615/4611686018427387904", + "floor_float": 18.67558835381444 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "990112423932321113829/18446744073709551616", + "floor_float": 53.67410205161556 + }, + "r=[107/256,215/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1936326607031459484945/18446744073709551616", + "floor_float": 104.9684756992497 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "118196205479082427541/4611686018427387904", + "floor_float": 25.62971655199285 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "53914197748405157341/9223372036854775808", + "floor_float": 5.845389032663396 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "134141447285625536429/2305843009213693952", + "floor_float": 58.17457942696999 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "259477090414038892783/18446744073709551616", + "floor_float": 14.066281256855932 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "744913108285009900157/18446744073709551616", + "floor_float": 40.38182051577688 + }, + "r=[107/256,215/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1454696107465735811285/18446744073709551616", + "floor_float": 78.85923400102789 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "203682265647967993807/9223372036854775808", + "floor_float": 22.083275491229653 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "92924606359144882007/18446744073709551616", + "floor_float": 5.03745300459726 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "924031333909343114409/18446744073709551616", + "floor_float": 50.09183898345942 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "223635248781437130893/18446744073709551616", + "floor_float": 12.12329112865852 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "641650775003842694757/18446744073709551616", + "floor_float": 34.783958211808695 + }, + "r=[107/256,215/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1252085276419313511641/18446744073709551616", + "floor_float": 67.87567884154666 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "51235797753123672177/1152921504606846976", + "floor_float": 44.43997058637169 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "186734763507137063689/18446744073709551616", + "floor_float": 10.122911813650244 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "466394949788250108915/4611686018427387904", + "floor_float": 101.1332835593377 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "224735762841749579223/9223372036854775808", + "floor_float": 24.3659002308212 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1293234061790152214975/18446744073709551616", + "floor_float": 70.1063589662568 + }, + "r=[107/256,215/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2532711689286001169373/18446744073709551616", + "floor_float": 137.29857579016573 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "273045164412917517135/9223372036854775808", + "floor_float": 29.60361604431469 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "124517080557050707141/18446744073709551616", + "floor_float": 6.750084462575347 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1240317956657275896391/18446744073709551616", + "floor_float": 67.23777115903002 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "299630366264543440189/18446744073709551616", + "floor_float": 16.24299470233227 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "860664417721015762033/18446744073709551616", + "floor_float": 46.65671157370485 + }, + "r=[107/256,215/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1681960326971241854527/18446744073709551616", + "floor_float": 91.17925202683249 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "179768249122642768501/4611686018427387904", + "floor_float": 38.98102524853693 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "163854223006260780663/18446744073709551616", + "floor_float": 8.882555227715613 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "204417308895764454351/2305843009213693952", + "floor_float": 88.6518761593713 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "197175149431717331413/9223372036854775808", + "floor_float": 21.37777253740219 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1134007477258985122359/18446744073709551616", + "floor_float": 61.4746685229499 + }, + "r=[107/256,215/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1109663212518000783547/9223372036854775808", + "floor_float": 120.30992657392605 + }, + "r=[107/256,215/512],b=[7/8,1],k=[1,5/4]": { + "floor": "930812396316975066751/18446744073709551616", + "floor_float": 50.459441113165134 + }, + "r=[107/256,215/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "105975661276789544029/9223372036854775808", + "floor_float": 11.489904218688316 + }, + "r=[107/256,215/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "529927760311534978061/4611686018427387904", + "floor_float": 114.90976579802879 + }, + "r=[107/256,215/512],b=[7/8,1],k=[3/4,1]": { + "floor": "510226423097016603199/18446744073709551616", + "floor_float": 27.659429819064677 + }, + "r=[107/256,215/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1468910380010722537695/18446744073709551616", + "floor_float": 79.62979125970666 + }, + "r=[107/256,215/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2878731500708409456769/18446744073709551616", + "floor_float": 156.0563473535257 + }, + "r=[107/512,27/128],b=[0,1/8],k=[1,5/4]": { + "floor": "487988048946818328593/18446744073709551616", + "floor_float": 26.453885140755155 + }, + "r=[107/512,27/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "117311254144456918675/18446744073709551616", + "floor_float": 6.359455830020966 + }, + "r=[107/512,27/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "553384520728501972187/9223372036854775808", + "floor_float": 59.99806995936915 + }, + "r=[107/512,27/128],b=[0,1/8],k=[3/4,1]": { + "floor": "271308834915926690799/18446744073709551616", + "floor_float": 14.70768141151794 + }, + "r=[107/512,27/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "191673684400843489027/4611686018427387904", + "floor_float": 41.56260500713909 + }, + "r=[107/512,27/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1507553756929056020569/18446744073709551616", + "floor_float": 81.72465292005833 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "852866216074209989795/18446744073709551616", + "floor_float": 46.23397021535751 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "205213888541104059737/18446744073709551616", + "floor_float": 11.124667189023159 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "967377684970480372417/9223372036854775808", + "floor_float": 104.88329876589927 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "237124359728400794459/9223372036854775808", + "floor_float": 25.70907459667664 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1340039262727410984263/18446744073709551616", + "floor_float": 72.64367399324664 + }, + "r=[107/512,27/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2636015149748806676937/18446744073709551616", + "floor_float": 142.89866760311793 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "81336061203814403237/2305843009213693952", + "floor_float": 35.27389370343581 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "39125772245354268241/4611686018427387904", + "floor_float": 8.48404945371723 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "737970042488436518897/9223372036854775808", + "floor_float": 80.01087232951829 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "22612320393340952061/1152921504606846976", + "floor_float": 19.61306151631883 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "255585900978694767279/4611686018427387904", + "floor_float": 55.42135781955318 + }, + "r=[107/512,27/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2010660846522867796011/18446744073709551616", + "floor_float": 108.99814289658184 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "564687404780928827837/18446744073709551616", + "floor_float": 30.611765551934223 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "67895476462120637727/9223372036854775808", + "floor_float": 7.361242308216963 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "640386914112844158843/9223372036854775808", + "floor_float": 69.43088835124338 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "156984745587606277829/9223372036854775808", + "floor_float": 17.020320221316695 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "55450038925408531973/1152921504606846976", + "floor_float": 48.095242133866975 + }, + "r=[107/512,27/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1744677950481347000591/18446744073709551616", + "floor_float": 94.5791812099717 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1099822478637161548955/18446744073709551616", + "floor_float": 59.62149603434014 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "132333626494026182877/9223372036854775808", + "floor_float": 14.34764053377085 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2495298519402980486447/18446744073709551616", + "floor_float": 135.2704037868287 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "611606322226139184185/18446744073709551616", + "floor_float": 33.15524516317248 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1728130425276904164483/18446744073709551616", + "floor_float": 93.68213807117591 + }, + "r=[107/512,27/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3400100744116026204147/18446744073709551616", + "floor_float": 184.31983067200878 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "186618790112544354603/4611686018427387904", + "floor_float": 40.466499533327394 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "179580845409948312315/18446744073709551616", + "floor_float": 9.735097136512474 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1693307485659830435699/18446744073709551616", + "floor_float": 91.79438273191776 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "103768517088794520245/4611686018427387904", + "floor_float": 22.501210332654043 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "146607430121978414961/2305843009213693952", + "floor_float": 63.58083769630631 + }, + "r=[107/512,27/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2306911497621680029415/18446744073709551616", + "floor_float": 125.0579228726607 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "242612153340028907699/4611686018427387904", + "floor_float": 52.608124744529135 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "233543903738765831589/18446744073709551616", + "floor_float": 12.660440390215772 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2201648374521836172499/18446744073709551616", + "floor_float": 119.35159753528771 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "134911587377762296063/4611686018427387904", + "floor_float": 29.25428722568757 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1524822354772025965997/18446744073709551616", + "floor_float": 82.66078548491465 + }, + "r=[107/512,27/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2999816757926754620607/18446744073709551616", + "floor_float": 162.6203923001305 + }, + "r=[107/512,27/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1241755160081296268365/18446744073709551616", + "floor_float": 67.31568211276134 + }, + "r=[107/512,27/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "298782985710157726117/18446744073709551616", + "floor_float": 16.197058110432923 + }, + "r=[107/512,27/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2817496523526736229563/18446744073709551616", + "floor_float": 152.73679258890218 + }, + "r=[107/512,27/128],b=[7/8,1],k=[3/4,1]": { + "floor": "690534876064837187565/18446744073709551616", + "floor_float": 37.43397064032525 + }, + "r=[107/512,27/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1951188337455332455009/18446744073709551616", + "floor_float": 105.77413171987254 + }, + "r=[107/512,27/128],b=[7/8,1],k=[7/4,2]": { + "floor": "479917541620938274351/2305843009213693952", + "floor_float": 208.1310564957295 + }, + "r=[109/256,219/512],b=[0,1/8],k=[1,5/4]": { + "floor": "42952089874673345147/2305843009213693952", + "floor_float": 18.62749966196539 + }, + "r=[109/256,219/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "39119912509948352545/9223372036854775808", + "floor_float": 4.241389413072887 + }, + "r=[109/256,219/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "97310237129266666739/2305843009213693952", + "floor_float": 42.2015882002522 + }, + "r=[109/256,219/512],b=[0,1/8],k=[3/4,1]": { + "floor": "94306248555846548583/9223372036854775808", + "floor_float": 10.22470395632068 + }, + "r=[109/256,219/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "540988035534732608505/18446744073709551616", + "floor_float": 29.327020170771117 + }, + "r=[109/256,219/512],b=[0,1/8],k=[7/4,2]": { + "floor": "263461142384014000727/4611686018427387904", + "floor_float": 57.12902858765216 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "618472474804417775963/18446744073709551616", + "floor_float": 33.527460040271805 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "140670768254796699791/18446744073709551616", + "floor_float": 7.625777627352775 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1405054804074009593055/18446744073709551616", + "floor_float": 76.1681735519118 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "339119056705910858279/18446744073709551616", + "floor_float": 18.383680900589177 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "243738324480905552257/4611686018427387904", + "floor_float": 52.85232418403492 + }, + "r=[109/256,219/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1905238792250707598669/18446744073709551616", + "floor_float": 103.2832018830938 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "465255760513034864457/18446744073709551616", + "floor_float": 25.2215653154814 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "6618422684032886729/1152921504606846976", + "floor_float": 5.740566601964639 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1055550050851154450997/18446744073709551616", + "floor_float": 57.221482915000315 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "31907055030878478947/2305843009213693952", + "floor_float": 13.837479352837196 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "366487027741818004659/9223372036854775808", + "floor_float": 39.734603166543444 + }, + "r=[109/256,219/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1430140286131607703435/18446744073709551616", + "floor_float": 77.5280602591465 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "400731391886124435233/18446744073709551616", + "floor_float": 21.72369228330381 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "91229541827205170649/18446744073709551616", + "floor_float": 4.945563372195652 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "227129200873641249729/4611686018427387904", + "floor_float": 49.250794604419674 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "219922456377775608769/18446744073709551616", + "floor_float": 11.922020249156645 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "631115217437501518603/18446744073709551616", + "floor_float": 34.212824491720035 + }, + "r=[109/256,219/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1230412561578370319745/18446744073709551616", + "floor_float": 66.70079861583618 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "201949607484215553439/4611686018427387904", + "floor_float": 43.79084063339628 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "183593147938986250751/18446744073709551616", + "floor_float": 9.952604492445076 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "918888268182270902443/9223372036854775808", + "floor_float": 99.6260656634661 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "221351491865324576301/9223372036854775808", + "floor_float": 23.998976836329238 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "318574903032175426207/4611686018427387904", + "floor_float": 69.0799203933687 + }, + "r=[109/256,219/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "155872014779948549897/1152921504606846976", + "floor_float": 135.1974216432903 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "268793786897613061413/9223372036854775808", + "floor_float": 29.14268077049978 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "122320395235543701005/18446744073709551616", + "floor_float": 6.631001912683101 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "610239435008063346129/9223372036854775808", + "floor_float": 66.1622921172069 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "147425710142946546367/9223372036854775808", + "floor_float": 15.98392752172009 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "847184819754709764381/18446744073709551616", + "floor_float": 45.92598110373984 + }, + "r=[109/256,219/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "413566997503609040585/4611686018427387904", + "floor_float": 89.67804743234402 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "177089017034670996821/4611686018427387904", + "floor_float": 38.40005939846256 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "161055864918875351209/18446744073709551616", + "floor_float": 8.73085593182883 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "805200008688537072071/9223372036854775808", + "floor_float": 87.29995987054589 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "12134461155941498237/576460752303423488", + "floor_float": 21.04993463554038 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1117023363608413921111/18446744073709551616", + "floor_float": 60.55395787706539 + }, + "r=[109/256,219/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2184545608007897709305/18446744073709551616", + "floor_float": 118.42445470479149 + }, + "r=[109/256,219/512],b=[7/8,1],k=[1,5/4]": { + "floor": "458746467304623368347/9223372036854775808", + "floor_float": 49.73739164717231 + }, + "r=[109/256,219/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "208437367826680476645/18446744073709551616", + "floor_float": 11.299412351242358 + }, + "r=[109/256,219/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1044409428562094153085/9223372036854775808", + "floor_float": 113.23509714113668 + }, + "r=[109/256,219/512],b=[7/8,1],k=[3/4,1]": { + "floor": "502678291774780514501/18446744073709551616", + "floor_float": 27.250244800175967 + }, + "r=[109/256,219/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "723930000544576709391/9223372036854775808", + "floor_float": 78.48864793178625 + }, + "r=[109/256,219/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2835687527627071506743/18446744073709551616", + "floor_float": 153.72292889716599 + }, + "r=[109/512,55/256],b=[0,1/8],k=[1,5/4]": { + "floor": "485814259338875385241/18446744073709551616", + "floor_float": 26.336043769982247 + }, + "r=[109/512,55/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "116683335860304293561/18446744073709551616", + "floor_float": 6.325416311629884 + }, + "r=[109/512,55/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "551009464835850981273/9223372036854775808", + "floor_float": 59.74056588351048 + }, + "r=[109/512,55/256],b=[0,1/8],k=[3/4,1]": { + "floor": "270027750966398545673/18446744073709551616", + "floor_float": 14.638233711457204 + }, + "r=[109/512,55/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "95421185067553672889/2305843009213693952", + "floor_float": 41.382342460553225 + }, + "r=[109/512,55/256],b=[0,1/8],k=[7/4,2]": { + "floor": "375271278809866070151/4611686018427387904", + "floor_float": 81.37398715141404 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "212341415368791695759/4611686018427387904", + "floor_float": 46.044204770298165 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "204184512755737511457/18446744073709551616", + "floor_float": 11.06886461588324 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "963582203899702330513/9223372036854775808", + "floor_float": 104.47179188364275 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "29510951720364067199/1152921504606846976", + "floor_float": 25.596670373866846 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1334708071208502447041/18446744073709551616", + "floor_float": 72.35466952190978 + }, + "r=[109/512,55/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "656426099745056602123/4611686018427387904", + "floor_float": 142.33972068395536 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "40494269157086399029/1152921504606846976", + "floor_float": 35.12317967466066 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "38922694213952546507/4611686018427387904", + "floor_float": 8.440013925151264 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "91867667637545552263/1152921504606846976", + "floor_float": 79.68249986704252 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "90038527714842144621/4611686018427387904", + "floor_float": 19.52399347116563 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1018098509361078764745/18446744073709551616", + "floor_float": 55.19123078267676 + }, + "r=[109/512,55/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1001214709347975425625/9223372036854775808", + "floor_float": 108.55191629995178 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "562223709967058472113/18446744073709551616", + "floor_float": 30.478208388457247 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "33768432950390414345/4611686018427387904", + "floor_float": 7.322361673248876 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "637699233418775470105/9223372036854775808", + "floor_float": 69.13948942649772 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "312515685019623296003/18446744073709551616", + "floor_float": 16.94150923170356 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "883435697554222330369/18446744073709551616", + "floor_float": 47.891145126976745 + }, + "r=[109/512,55/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "868682261642634696193/9223372036854775808", + "floor_float": 94.1827195272566 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "547740017787815832763/9223372036854775808", + "floor_float": 59.38609172427988 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "263386115247385401539/18446744073709551616", + "floor_float": 14.278189917686635 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2485900877461160170409/18446744073709551616", + "floor_float": 134.76095659635058 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "76128372688511045453/2305843009213693952", + "floor_float": 33.015418822667925 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1721525236913610546711/18446744073709551616", + "floor_float": 93.32407009251796 + }, + "r=[109/512,55/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1693674486466909200003/9223372036854775808", + "floor_float": 183.62855577106941 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "371674547122197659119/9223372036854775808", + "floor_float": 40.297035144745266 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "89332285762068543795/9223372036854775808", + "floor_float": 9.685425829633061 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1686512714666936995279/18446744073709551616", + "floor_float": 91.42603745831593 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "413225200142482850659/18446744073709551616", + "floor_float": 22.400982986011865 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1168090593369325235573/18446744073709551616", + "floor_float": 63.322317949545216 + }, + "r=[109/512,55/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "574421032316913998719/4611686018427387904", + "floor_float": 124.55770623187286 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "483272378170652859873/9223372036854775808", + "floor_float": 52.39649623148581 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "232390795683159916861/18446744073709551616", + "floor_float": 12.59793027726585 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2193187892229508392393/18446744073709551616", + "floor_float": 118.89295387120687 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "268664593817218084183/9223372036854775808", + "floor_float": 29.128673628656347 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "759440271680528550103/9223372036854775808", + "floor_float": 82.33867924290108 + }, + "r=[109/512,55/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2988330023427278417391/18446744073709551616", + "floor_float": 161.9976951751757 + }, + "r=[109/512,55/256],b=[7/8,1],k=[1,5/4]": { + "floor": "154617601765263458487/2305843009213693952", + "floor_float": 67.05469589535889 + }, + "r=[109/512,55/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "74339217498291458811/4611686018427387904", + "floor_float": 16.119748222504004 + }, + "r=[109/512,55/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2807093821471199246591/18446744073709551616", + "floor_float": 152.17286098048555 + }, + "r=[109/512,55/256],b=[7/8,1],k=[3/4,1]": { + "floor": "85960291844327566435/2305843009213693952", + "floor_float": 37.27933406604318 + }, + "r=[109/512,55/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "121492046004358142829/1152921504606846976", + "floor_float": 105.37755217410715 + }, + "r=[109/512,55/256],b=[7/8,1],k=[7/4,2]": { + "floor": "478154501327159901129/2305843009213693952", + "floor_float": 207.3664596490519 + }, + "r=[11/32,177/512],b=[0,1/8],k=[1,5/4]": { + "floor": "403034524609200001789/18446744073709551616", + "floor_float": 21.848545358397857 + }, + "r=[11/32,177/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "93697999379860720883/18446744073709551616", + "floor_float": 5.079378724259522 + }, + "r=[11/32,177/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "916307869759247342559/18446744073709551616", + "floor_float": 49.67314915292703 + }, + "r=[11/32,177/512],b=[0,1/8],k=[3/4,1]": { + "floor": "222121131385980222803/18446744073709551616", + "floor_float": 12.041210660180896 + }, + "r=[11/32,177/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "317456266327041875865/9223372036854775808", + "floor_float": 34.41867736209157 + }, + "r=[11/32,177/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1245742211541168475769/18446744073709551616", + "floor_float": 67.53182060549159 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "715565877669161641897/18446744073709551616", + "floor_float": 38.790903956270085 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "166427745281184679331/18446744073709551616", + "floor_float": 9.02206614978623 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1629022931657094132523/18446744073709551616", + "floor_float": 88.30951007656634 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "197134683949450569451/9223372036854775808", + "floor_float": 21.37338526102376 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1127959497915311625525/18446744073709551616", + "floor_float": 61.14680690577198 + }, + "r=[11/32,177/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2216543447647757519571/18446744073709551616", + "floor_float": 120.15906106741043 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "541857343420536690955/18446744073709551616", + "floor_float": 29.374145445688498 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "126004151060737327713/18446744073709551616", + "floor_float": 6.830698716112154 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1232712197152637258841/18446744073709551616", + "floor_float": 66.82546211011343 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "149293663645198853421/9223372036854775808", + "floor_float": 16.186451446244476 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "853844913920921277999/18446744073709551616", + "floor_float": 46.28702553193807 + }, + "r=[11/32,177/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1676614817821358397199/18446744073709551616", + "floor_float": 90.88947139516524 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "468351212394128784091/18446744073709551616", + "floor_float": 25.389370098196718 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "13612450040304544211/2305843009213693952", + "floor_float": 5.9034591626194315 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "133137030824135699727/2305843009213693952", + "floor_float": 57.738983223119 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "258095350999198050731/18446744073709551616", + "floor_float": 13.991377013086966 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "184470545530876037933/4611686018427387904", + "floor_float": 40.00067324483239 + }, + "r=[11/32,177/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1448329661759264038719/18446744073709551616", + "floor_float": 78.5141082877295 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "232272457035407194627/4611686018427387904", + "floor_float": 50.366060505266894 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "216103373569717525677/18446744073709551616", + "floor_float": 11.714987355286715 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1058274426734137846005/9223372036854775808", + "floor_float": 114.7383432551004 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "127961124758578674341/4611686018427387904", + "floor_float": 27.747145891387934 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1464947120258185280571/18446744073709551616", + "floor_float": 79.4149425180154 + }, + "r=[11/32,177/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2881005632199876642685/18446744073709551616", + "floor_float": 156.17962826870402 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "156000657354411534223/4611686018427387904", + "floor_float": 33.827250322563955 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "36281063428009373703/4611686018427387904", + "floor_float": 7.867201557746429 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1420069635704942140511/18446744073709551616", + "floor_float": 76.98212920559986 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "343838226505874894317/18446744073709551616", + "floor_float": 18.639507608061624 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "491729819992389024509/9223372036854775808", + "floor_float": 53.31345391116542 + }, + "r=[11/32,177/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1931833653481079973673/18446744073709551616", + "floor_float": 104.72491219923981 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "408535768808843862773/9223372036854775808", + "floor_float": 44.29353680805843 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "190042607043970222351/18446744073709551616", + "floor_float": 10.302230371094078 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "930375364201719805479/9223372036854775808", + "floor_float": 100.8714991094497 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "225081709334708357501/9223372036854775808", + "floor_float": 24.403407824744164 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1288150074824901016195/18446744073709551616", + "floor_float": 69.83075548062614 + }, + "r=[11/32,177/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "316543271616107396221/2305843009213693952", + "floor_float": 137.2787611087411 + }, + "r=[11/32,177/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1052337257187970638627/18446744073709551616", + "floor_float": 57.04731702153174 + }, + "r=[11/32,177/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "122375700698332010817/9223372036854775808", + "floor_float": 13.268000055656742 + }, + "r=[11/32,177/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "599534066915036460135/4611686018427387904", + "floor_float": 130.00322756567047 + }, + "r=[11/32,177/512],b=[7/8,1],k=[3/4,1]": { + "floor": "579690423322209471347/18446744073709551616", + "floor_float": 31.425080816749063 + }, + "r=[11/32,177/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1659528583848437081143/18446744073709551616", + "floor_float": 89.9632247955134 + }, + "r=[11/32,177/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3264949377703480118395/18446744073709551616", + "floor_float": 176.99326041806543 + }, + "r=[11/64,89/512],b=[0,1/8],k=[1,5/4]": { + "floor": "63459571400017451339/2305843009213693952", + "floor_float": 27.521202070759163 + }, + "r=[11/64,89/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "123079082514328904777/18446744073709551616", + "floor_float": 6.672130432477903 + }, + "r=[11/64,89/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "287354267747089083359/4611686018427387904", + "floor_float": 62.31002427287506 + }, + "r=[11/64,89/512],b=[0,1/8],k=[3/4,1]": { + "floor": "282964756514515645985/18446744073709551616", + "floor_float": 15.339550187493483 + }, + "r=[11/64,89/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "796667166652041724783/18446744073709551616", + "floor_float": 43.187413641600756 + }, + "r=[11/64,89/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1565397632359807640805/18446744073709551616", + "floor_float": 84.86037569040842 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "6910320347588732099/144115188075855872", + "floor_float": 47.94997973392953 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "53661159794912872989/4611686018427387904", + "floor_float": 11.635909205547268 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2002934208197403830153/18446744073709551616", + "floor_float": 108.57928099365795 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "493102094461474810619/18446744073709551616", + "floor_float": 26.731118103614172 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "694035759902680638427/9223372036854775808", + "floor_float": 75.24750786691143 + }, + "r=[11/64,89/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2728295588340580777419/18446744073709551616", + "floor_float": 147.90120020307376 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "10559991751017478953/288230376151711744", + "floor_float": 36.6373311932229 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "163940823890917232781/18446744073709551616", + "floor_float": 8.887249871079797 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "95641699325853651259/1152921504606846976", + "floor_float": 82.95595055143674 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "94185015662115138155/4611686018427387904", + "floor_float": 20.4231197192893 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "530285259310720229123/9223372036854775808", + "floor_float": 57.49364301817219 + }, + "r=[11/64,89/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2084267645911272842937/18446744073709551616", + "floor_float": 112.9883754869125 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "586984264086760520967/18446744073709551616", + "floor_float": 31.82048071688354 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "8896980143082448497/1152921504606846976", + "floor_float": 7.716900159752308 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "166126381389116103669/2305843009213693952", + "floor_float": 72.04583344369406 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "327199474411714447347/18446744073709551616", + "floor_float": 17.7375190496648 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "115139947861153726913/2305843009213693952", + "floor_float": 49.93399264437223 + }, + "r=[11/64,89/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "905033304756927759855/9223372036854775808", + "floor_float": 98.12390751891967 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "284776643142891195845/4611686018427387904", + "floor_float": 61.751091033730376 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "138201350441104913813/9223372036854775808", + "floor_float": 14.983820438867648 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2579638020370722440053/18446744073709551616", + "floor_float": 139.84245729560715 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "158759876844052134779/4611686018427387904", + "floor_float": 34.42556067557049 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "111726811665074058893/1152921504606846976", + "floor_float": 96.90756154572168 + }, + "r=[11/64,89/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3514147907043533149317/18446744073709551616", + "floor_float": 190.50233976259935 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "387373598344836784645/9223372036854775808", + "floor_float": 41.99912968889993 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "93987131796723348395/9223372036854775808", + "floor_float": 10.190105247968889 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "877144098914346243511/9223372036854775808", + "floor_float": 95.10015376257743 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "431889852189892244667/18446744073709551616", + "floor_float": 23.412795800936227 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1215792451379568276473/18446744073709551616", + "floor_float": 65.90824085386025 + }, + "r=[11/64,89/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2389497989043564530123/18446744073709551616", + "floor_float": 129.53494554353884 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "502885814196340890727/9223372036854775808", + "floor_float": 54.522989226381455 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "244063831359846553047/18446744073709551616", + "floor_float": 13.23072680927407 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "569400474482547509677/4611686018427387904", + "floor_float": 123.469046289651 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "560710275641872984767/18446744073709551616", + "floor_float": 30.396164949293237 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "789184884859794898117/9223372036854775808", + "floor_float": 85.56359666577123 + }, + "r=[11/64,89/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3102568958973326097427/18446744073709551616", + "floor_float": 168.1906002802485 + }, + "r=[11/64,89/512],b=[7/8,1],k=[1,5/4]": { + "floor": "642645851295945766575/9223372036854775808", + "floor_float": 69.67580281138608 + }, + "r=[11/64,89/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "311844517447723357533/18446744073709551616", + "floor_float": 16.905125164725774 + }, + "r=[11/64,89/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2910822246511566972993/18446744073709551616", + "floor_float": 157.79599016934887 + }, + "r=[11/64,89/512],b=[7/8,1],k=[3/4,1]": { + "floor": "716474077595303797065/18446744073709551616", + "floor_float": 38.84013757291881 + }, + "r=[11/64,89/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1008534035940839534735/9223372036854775808", + "floor_float": 109.3454792792632 + }, + "r=[11/64,89/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3965475040423806504777/18446744073709551616", + "floor_float": 214.96883268822674 + }, + "r=[111/256,223/512],b=[0,1/8],k=[1,5/4]": { + "floor": "337767929657603716007/18446744073709551616", + "floor_float": 18.31043615653525 + }, + "r=[111/256,223/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "76759113973527000007/18446744073709551616", + "floor_float": 4.161119906408021 + }, + "r=[111/256,223/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "764755651455060276311/18446744073709551616", + "floor_float": 41.45748693640718 + }, + "r=[111/256,223/512],b=[0,1/8],k=[3/4,1]": { + "floor": "46336685966332302123/4611686018427387904", + "floor_float": 10.047667118095214 + }, + "r=[111/256,223/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "531690797308639789947/18446744073709551616", + "floor_float": 28.82301587662886 + }, + "r=[111/256,223/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1034671219324487929361/18446744073709551616", + "floor_float": 56.089639189991786 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "304424518866028517853/9223372036854775808", + "floor_float": 33.005772471240256 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "138185891617873569589/18446744073709551616", + "floor_float": 7.491072194947249 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1382597976094371569533/18446744073709551616", + "floor_float": 74.95078646777895 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "333712029530843555003/18446744073709551616", + "floor_float": 18.09056537009437 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "959693463673642955379/18446744073709551616", + "floor_float": 52.02508691175511 + }, + "r=[111/256,223/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "936946300768212232051/9223372036854775808", + "floor_float": 101.58392147951525 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "457692265537585144829/18446744073709551616", + "floor_float": 24.81154743128311 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "51979782001700893237/9223372036854775808", + "floor_float": 5.6356592571567035 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "506754537423758697/9007199254740992", + "floor_float": 56.26105552811275 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "125511733058713881593/9223372036854775808", + "floor_float": 13.60800936546783 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "360482292235411929227/9223372036854775808", + "floor_float": 39.08356843841881 + }, + "r=[111/256,223/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1405410144833716420145/18446744073709551616", + "floor_float": 76.18743661309414 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "394071221840490856213/18446744073709551616", + "floor_float": 21.362643741673867 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "89534678954955433621/18446744073709551616", + "floor_float": 4.853684671787743 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "892907419697372202069/18446744073709551616", + "floor_float": 48.40460821321585 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "108097608285676899191/9223372036854775808", + "floor_float": 11.719966174381796 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "620519358882585831111/18446744073709551616", + "floor_float": 33.638421848490594 + }, + "r=[111/256,223/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "604281039180307667763/9223372036854775808", + "floor_float": 65.51628154710878 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "795760642671104865815/18446744073709551616", + "floor_float": 43.138270878123656 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "180446909806562283257/18446744073709551616", + "floor_float": 9.782046581528535 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "452435741681316122347/4611686018427387904", + "floor_float": 98.10636280819469 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "108976169061872393115/4611686018427387904", + "floor_float": 23.63043984920593 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "39225535926159133847/576460752303423488", + "floor_float": 68.04545802887989 + }, + "r=[111/256,223/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2454842773940489062143/18446744073709551616", + "floor_float": 133.07729343083102 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "529039395836283461879/18446744073709551616", + "floor_float": 28.679283114805862 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "60061130717364353789/9223372036854775808", + "floor_float": 6.51184084057023 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "600250864046689303929/9223372036854775808", + "floor_float": 65.07932908357218 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "290058423187030742889/18446744073709551616", + "floor_float": 15.724098628354927 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "833612312197863114173/18446744073709551616", + "floor_float": 45.19021399477939 + }, + "r=[111/256,223/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1626354517485824421871/18446744073709551616", + "floor_float": 88.16485505448726 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "697576204047329138993/18446744073709551616", + "floor_float": 37.81568179511529 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "158252709489874431745/18446744073709551616", + "floor_float": 8.578896571531963 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1585255967531608459939/18446744073709551616", + "floor_float": 85.93689819716901 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "382229922904093447663/18446744073709551616", + "floor_float": 20.720725640079248 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "68745751394612307871/1152921504606846976", + "floor_float": 59.62743440894965 + }, + "r=[111/256,223/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2149455832914983299349/18446744073709551616", + "floor_float": 116.52223418540322 + }, + "r=[111/256,223/512],b=[7/8,1],k=[1,5/4]": { + "floor": "452041415777090914305/9223372036854775808", + "floor_float": 49.010428503894516 + }, + "r=[111/256,223/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "102458430892782787153/9223372036854775808", + "floor_float": 11.108565336341101 + }, + "r=[111/256,223/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2057660110279002761657/18446744073709551616", + "floor_float": 111.54597809006287 + }, + "r=[111/256,223/512],b=[7/8,1],k=[3/4,1]": { + "floor": "247550351701817157511/9223372036854775808", + "floor_float": 26.839462911466086 + }, + "r=[111/256,223/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1426651258196641432695/18446744073709551616", + "floor_float": 77.33891967579885 + }, + "r=[111/256,223/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2792276775641193173485/18446744073709551616", + "floor_float": 151.36962731655007 + }, + "r=[111/512,7/32],b=[0,1/8],k=[1,5/4]": { + "floor": "241810252486243562005/9223372036854775808", + "floor_float": 26.21712010748536 + }, + "r=[111/512,7/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "7253115059757135565/1152921504606846976", + "floor_float": 6.291074484060813 + }, + "r=[111/512,7/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "548609574309362595615/9223372036854775808", + "floor_float": 59.48036923125587 + }, + "r=[111/512,7/32],b=[0,1/8],k=[3/4,1]": { + "floor": "268736332745645740471/18446744073709551616", + "floor_float": 14.568225789430826 + }, + "r=[111/512,7/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "760010220945204529667/18446744073709551616", + "floor_float": 41.20023663299895 + }, + "r=[111/512,7/32],b=[0,1/8],k=[7/4,2]": { + "floor": "1494545818661169906067/18446744073709551616", + "floor_float": 81.01949117357836 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "422918651263537821815/9223372036854775808", + "floor_float": 45.852932048456715 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "203148100339253487817/18446744073709551616", + "floor_float": 11.012680586206093 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1919490842901122537769/18446744073709551616", + "floor_float": 104.05580709697146 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "235042773774286752259/9223372036854775808", + "floor_float": 25.483388595310064 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "664663255789795408019/9223372036854775808", + "floor_float": 72.06293458985847 + }, + "r=[111/512,7/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "653818673723059204715/4611686018427387904", + "floor_float": 141.7743252924264 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "645102628114605715877/18446744073709551616", + "floor_float": 34.971083543898196 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "154873252757302343763/18446744073709551616", + "floor_float": 8.395695854968192 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1463769308440858062579/18446744073709551616", + "floor_float": 79.35109321145913 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "358497833249117628989/18446744073709551616", + "floor_float": 19.434206482001972 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1013813817610956538823/18446744073709551616", + "floor_float": 54.9589571774811 + }, + "r=[111/512,7/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "498528005490523923121/4611686018427387904", + "floor_float": 108.1010293195383 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "279868671980538334071/9223372036854775808", + "floor_float": 30.343422217193268 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "67175962997180403017/9223372036854775808", + "floor_float": 7.283232502034885 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1269968876816161485107/18446744073709551616", + "floor_float": 68.84515076165292 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "311050259337314696343/18446744073709551616", + "floor_float": 16.862068346284808 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "219908389892587307043/4611686018427387904", + "floor_float": 47.685030813866504 + }, + "r=[111/512,7/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "864988026411821702385/9223372036854775808", + "floor_float": 93.7821897409646 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1091098214889981693987/18446744073709551616", + "floor_float": 59.1485527489387 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "262096912867670882905/18446744073709551616", + "floor_float": 14.208302116643637 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2476401851399236017123/18446744073709551616", + "floor_float": 134.24601336170886 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "606426726034175446925/18446744073709551616", + "floor_float": 32.87445869097624 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "857427291941006287659/9223372036854775808", + "floor_float": 92.96245326708019 + }, + "r=[111/512,7/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "421806639934757447477/2305843009213693952", + "floor_float": 182.92947015443 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "23131129423310312325/576460752303423488", + "floor_float": 40.12611323647426 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "177742243427565731883/18446744073709551616", + "floor_float": 9.635426323330707 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1679650578248861131747/18446744073709551616", + "floor_float": 91.05404029769745 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "205680452711798654901/9223372036854775808", + "floor_float": 22.299919366793418 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1163281047705464233873/18446744073709551616", + "floor_float": 63.0615919566739 + }, + "r=[111/512,7/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2288351869166630295383/18446744073709551616", + "floor_float": 124.05180339808626 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "962606095177508913651/18446744073709551616", + "floor_float": 52.182980981962174 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "231230118432242589111/18446744073709551616", + "floor_float": 12.535009837415895 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2184636443066831235865/18446744073709551616", + "floor_float": 118.42937888320317 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "534995021111487608883/18446744073709551616", + "floor_float": 29.00213820790016 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "378219778118996003209/4611686018427387904", + "floor_float": 82.01334102272018 + }, + "r=[111/512,7/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2976711522333107895401/18446744073709551616", + "floor_float": 161.36785496880944 + }, + "r=[111/512,7/32],b=[7/8,1],k=[1,5/4]": { + "floor": "308020835057058994017/4611686018427387904", + "floor_float": 66.79137170793251 + }, + "r=[111/512,7/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "295921322859155634245/18446744073709551616", + "floor_float": 16.041927056434044 + }, + "r=[111/512,7/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2796579415208066609545/18446744073709551616", + "floor_float": 151.60287387484138 + }, + "r=[111/512,7/32],b=[7/8,1],k=[3/4,1]": { + "floor": "684795588642364638965/18446744073709551616", + "floor_float": 37.122843245727076 + }, + "r=[111/512,7/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "242060567943952475629/2305843009213693952", + "floor_float": 104.97703745516333 + }, + "r=[111/512,7/32],b=[7/8,1],k=[7/4,2]": { + "floor": "1905488203486104507297/9223372036854775808", + "floor_float": 206.59344498651353 + }, + "r=[113/256,227/512],b=[0,1/8],k=[1,5/4]": { + "floor": "331909904265460244755/18446744073709551616", + "floor_float": 17.99287196370339 + }, + "r=[113/256,227/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "75280870562119949365/18446744073709551616", + "floor_float": 4.080984170502525 + }, + "r=[113/256,227/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "750967166462338044513/18446744073709551616", + "floor_float": 40.710011667187516 + }, + "r=[113/256,227/512],b=[0,1/8],k=[3/4,1]": { + "floor": "182070402676841853843/18446744073709551616", + "floor_float": 9.870056306377126 + }, + "r=[113/256,227/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "522337997316911386499/18446744073709551616", + "floor_float": 28.315999573136146 + }, + "r=[113/256,227/512],b=[0,1/8],k=[7/4,2]": { + "floor": "507678442973498890407/9223372036854775808", + "floor_float": 55.04260707959258 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "299590529837332178075/9223372036854775808", + "floor_float": 32.48167033057189 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "16962460682590630763/2305843009213693952", + "floor_float": 7.356294689105885 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1359995058396034168769/18446744073709551616", + "floor_float": 73.72547984412654 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "164142735915351526159/9223372036854775808", + "floor_float": 17.796391087713857 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "944325508306803807949/18446744073709551616", + "floor_float": 51.191988381985745 + }, + "r=[113/256,227/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1842259078890125692361/18446744073709551616", + "floor_float": 99.86906478069093 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "225051342437041043573/9223372036854775808", + "floor_float": 24.40011543910191 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "102025917884902181881/18446744073709551616", + "floor_float": 5.530836091031931 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "31875971952812314661/576460752303423488", + "floor_float": 55.29599686612179 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "246773187693632290059/18446744073709551616", + "floor_float": 13.377601310430464 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "177216887228952408375/4611686018427387904", + "floor_float": 38.42778682694977 + }, + "r=[113/256,227/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1380461330405312491985/18446744073709551616", + "floor_float": 74.83495867288347 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "387374528818163244185/18446744073709551616", + "floor_float": 20.99961528551006 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "43919130750298495889/9223372036854775808", + "floor_float": 4.761721697314855 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "438589072941344849151/9223372036854775808", + "floor_float": 47.55192257114094 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "106230139522650885339/9223372036854775808", + "floor_float": 11.517494805389633 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "609881771257443262305/18446744073709551616", + "floor_float": 33.06175706783137 + }, + "r=[113/256,227/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1186611531820156230561/18446744073709551616", + "floor_float": 64.32634003478829 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "783650111565645464239/18446744073709551616", + "floor_float": 42.48175767139904 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "177296643491585986579/18446744073709551616", + "floor_float": 9.611270302398275 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "445373032478838427569/4611686018427387904", + "floor_float": 96.57488187600275 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "214540967677890171243/9223372036854775808", + "floor_float": 23.26057832435109 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "618007062489880922519/9223372036854775808", + "floor_float": 67.00445997629139 + }, + "r=[113/256,227/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1207700760445210683041/9223372036854775808", + "floor_float": 130.9391788187093 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "260219961379786784777/9223372036854775808", + "floor_float": 28.21310474520589 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "58961017926028121247/9223372036854775808", + "floor_float": 6.392566372735646 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "590177374614803751553/9223372036854775808", + "floor_float": 63.987159170916165 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "142626765415022171319/9223372036854775808", + "floor_float": 15.463624891754744 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "204993380031164123335/4611686018427387904", + "floor_float": 44.45085359498695 + }, + "r=[113/256,227/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "799134658727034102907/9223372036854775808", + "floor_float": 86.64235331003125 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "343368645335286753033/9223372036854775808", + "floor_float": 37.228103123592255 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "155448088126559997785/18446744073709551616", + "floor_float": 8.426857742776726 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "779957398346051120067/9223372036854775808", + "floor_float": 84.56315057329306 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "376134864152983018085/18446744073709551616", + "floor_float": 20.390311843110215 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "541364401300641703739/9223372036854775808", + "floor_float": 58.694845999647015 + }, + "r=[113/256,227/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "132131247379184153675/1152921504606846976", + "floor_float": 114.60558836938486 + }, + "r=[113/256,227/512],b=[7/8,1],k=[1,5/4]": { + "floor": "222650991511642025239/4611686018427387904", + "floor_float": 48.279737740594776 + }, + "r=[113/256,227/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "50348104155081575907/4611686018427387904", + "floor_float": 10.917504781093179 + }, + "r=[113/256,227/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1013131696374463884549/9223372036854775808", + "floor_float": 109.84395862231182 + }, + "r=[113/256,227/512],b=[7/8,1],k=[3/4,1]": { + "floor": "121871749773832665765/4611686018427387904", + "floor_float": 26.426723173879832 + }, + "r=[113/256,227/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "87830360831915916181/1152921504606846976", + "floor_float": 76.1806944193192 + }, + "r=[113/256,227/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2748468405363848002935/18446744073709551616", + "floor_float": 148.99477080516272 + }, + "r=[113/512,57/256],b=[0,1/8],k=[1,5/4]": { + "floor": "481408028732883425335/18446744073709551616", + "floor_float": 26.097181530207816 + }, + "r=[113/512,57/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "115411185530010738093/18446744073709551616", + "floor_float": 6.256452904038262 + }, + "r=[113/512,57/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "8534151854002384873/144115188075855872", + "floor_float": 59.21757427475572 + }, + "r=[113/512,57/256],b=[0,1/8],k=[3/4,1]": { + "floor": "267434716526441979213/18446744073709551616", + "floor_float": 14.497665032800672 + }, + "r=[113/512,57/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "189155362142237203567/4611686018427387904", + "floor_float": 41.01653091437918 + }, + "r=[113/512,57/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1487933790209610677939/18446744073709551616", + "floor_float": 80.66105239299253 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "842276599756777770875/18446744073709551616", + "floor_float": 45.659905964500105 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "50526410769999903943/4611686018427387904", + "floor_float": 10.956168864945777 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1911735991695415366569/18446744073709551616", + "floor_float": 103.63541577074498 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "58497567175583013387/2305843009213693952", + "floor_float": 25.369275766753535 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "661945441678897358887/9223372036854775808", + "floor_float": 71.76826859351372 + }, + "r=[113/512,57/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2604728681677695401577/18446744073709551616", + "floor_float": 141.20262477051307 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "321137644260802966969/9223372036854775808", + "floor_float": 34.817813157443965 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "38512624716505418793/4611686018427387904", + "floor_float": 8.351094277150821 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1457589887965007741119/18446744073709551616", + "floor_float": 79.01610615622822 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "178414880550215192853/9223372036854775808", + "floor_float": 19.343780109628508 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "504744603251646644283/9223372036854775808", + "floor_float": 54.72451953957693 + }, + "r=[113/512,57/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "992849530843103485347/9223372036854775808", + "floor_float": 107.64496182913066 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "557231188189217794827/18446744073709551616", + "floor_float": 30.207563240571446 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "16703167800879399329/2305843009213693952", + "floor_float": 7.243844326841348 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1264483744195891456457/18446744073709551616", + "floor_float": 68.54780112648952 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "309573752540414611185/18446744073709551616", + "floor_float": 16.782026752440373 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "437898874573749064387/9223372036854775808", + "floor_float": 47.47709111418162 + }, + "r=[113/512,57/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "430624711296727479551/4611686018427387904", + "floor_float": 93.37684950277101 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "543338050901860141275/9223372036854775808", + "floor_float": 58.90882951818364 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "130399654949472734237/9223372036854775808", + "floor_float": 14.13795891875785 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2466806699041717338293/18446744073709551616", + "floor_float": 133.7258591101413 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "603805415125378390089/18446744073709551616", + "floor_float": 32.732357141872356 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "854059692175692685005/9223372036854775808", + "floor_float": 92.59733736891872 + }, + "r=[113/512,57/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1680710999430141153755/9223372036854775808", + "floor_float": 182.22305169024423 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "737016833298801858099/18446744073709551616", + "floor_float": 39.95376259104739 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "176814295511867627039/18446744073709551616", + "floor_float": 9.585122166023043 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1672714484542236329669/18446744073709551616", + "floor_float": 90.67803390443316 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "409484195947811659335/18446744073709551616", + "floor_float": 22.19818274225487 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1158423114275330130827/18446744073709551616", + "floor_float": 62.79824285773684 + }, + "r=[113/512,57/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "569728631245417400769/4611686018427387904", + "floor_float": 123.54020394469488 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "958631245620727279279/18446744073709551616", + "floor_float": 51.967503955723885 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "57515620124612915437/4611686018427387904", + "floor_float": 12.471712058191265 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1087998387125457622273/9223372036854775808", + "floor_float": 117.9610214982146 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "532641969115432094875/18446744073709551616", + "floor_float": 28.87457900359542 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "376704562907278730539/4611686018427387904", + "floor_float": 81.6847810978548 + }, + "r=[113/512,57/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2964969527906878050251/18446744073709551616", + "floor_float": 160.73132017549787 + }, + "r=[113/512,57/256],b=[7/8,1],k=[1,5/4]": { + "floor": "613590986582716972255/9223372036854775808", + "floor_float": 66.52566806705057 + }, + "r=[113/512,57/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "73619087277267161309/4611686018427387904", + "floor_float": 15.963594872482604 + }, + "r=[113/512,57/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2785963493132775097747/18446744073709551616", + "floor_float": 151.02738358599296 + }, + "r=[113/512,57/256],b=[7/8,1],k=[3/4,1]": { + "floor": "681885105030777633587/18446744073709551616", + "floor_float": 36.965065612993776 + }, + "r=[113/512,57/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "482256749217076314685/4611686018427387904", + "floor_float": 104.57276303939025 + }, + "r=[113/512,57/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1898281859805341013363/9223372036854775808", + "floor_float": 205.81213163907745 + }, + "r=[115/256,231/512],b=[0,1/8],k=[1,5/4]": { + "floor": "326024764360704163921/18446744073709551616", + "floor_float": 17.673837890197508 + }, + "r=[115/256,231/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "73803161801180261415/18446744073709551616", + "floor_float": 4.000877418056942 + }, + "r=[115/256,231/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "737093866164868231013/18446744073709551616", + "floor_float": 39.95793855108449 + }, + "r=[115/256,231/512],b=[0,1/8],k=[3/4,1]": { + "floor": "11174460642842274035/1152921504606846976", + "floor_float": 9.692299604258688 + }, + "r=[115/256,231/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "512950441435433075425/18446744073709551616", + "floor_float": 27.807099149084753 + }, + "r=[115/256,231/512],b=[0,1/8],k=[7/4,2]": { + "floor": "497969622335188613877/9223372036854775808", + "floor_float": 53.98997463675977 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "589454480676235087757/18446744073709551616", + "floor_float": 31.954391426524445 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "66605318214155136811/9223372036854775808", + "floor_float": 7.221363070687533 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1337199273206367993327/18446744073709551616", + "floor_float": 72.48971785281908 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "322849411862753670643/18446744073709551616", + "floor_float": 17.501701686363244 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "928897952079871913983/18446744073709551616", + "floor_float": 50.355658883116654 + }, + "r=[115/256,231/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1810469814124309585103/18446744073709551616", + "floor_float": 98.1457652846502 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "442469758179758665073/18446744073709551616", + "floor_float": 23.986333653881506 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "12511371484097728395/2305843009213693952", + "floor_float": 5.425942457532779 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1002087352525154990897/18446744073709551616", + "floor_float": 54.323264231401026 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "30315394369033799449/2305843009213693952", + "floor_float": 13.147206573864509 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "43546134960184377317/1152921504606846976", + "floor_float": 37.7702513017431 + }, + "r=[115/256,231/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "677704952472307288541/9223372036854775808", + "floor_float": 73.4769181774661 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "95166343323326036841/4611686018427387904", + "floor_float": 20.635911235730294 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "86145790490621368813/18446744073709551616", + "floor_float": 4.6699726600206395 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "861386651610796435107/18446744073709551616", + "floor_float": 46.69586395132199 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "208712825371286641003/18446744073709551616", + "floor_float": 11.314344934656834 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "299588313661555649427/9223372036854775808", + "floor_float": 32.48143005231274 + }, + "r=[115/256,231/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "291121655401675053973/4611686018427387904", + "floor_float": 63.1269462488145 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "385734682020737685233/9223372036854775808", + "floor_float": 41.82143802498891 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "174142888647698302395/18446744073709551616", + "floor_float": 9.44030490973679 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "438252748966734799999/4611686018427387904", + "floor_float": 95.03091650549565 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "105558935012139263731/4611686018427387904", + "floor_float": 22.889445333083515 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "608345500205112094231/9223372036854775808", + "floor_float": 65.95695129441634 + }, + "r=[115/256,231/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "296958636445005622185/2305843009213693952", + "floor_float": 128.78527950880328 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "511824196003540382833/18446744073709551616", + "floor_float": 27.746045261884255 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "28931441200283663647/4611686018427387904", + "floor_float": 6.273506280496836 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1160139857312625848291/18446744073709551616", + "floor_float": 62.891307684268604 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "280428916655413587325/18446744073709551616", + "floor_float": 15.202082033277794 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "201558836858167348485/4611686018427387904", + "floor_float": 43.706105761055284 + }, + "r=[115/256,231/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1569923559419886756597/18446744073709551616", + "floor_float": 85.10572668796085 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "675840123463697167341/18446744073709551616", + "floor_float": 36.6373665056106 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "76321510242851987163/9223372036854775808", + "floor_float": 8.27479472126748 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1534425217856925490601/18446744073709551616", + "floor_float": 83.18135773585111 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "185007249351566354389/9223372036854775808", + "floor_float": 20.058526167253568 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "532699253881634528115/9223372036854775808", + "floor_float": 57.755368833987546 + }, + "r=[115/256,231/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2078421678478721013013/18446744073709551616", + "floor_float": 112.6714649573799 + }, + "r=[115/256,231/512],b=[7/8,1],k=[1,5/4]": { + "floor": "877046034024682071745/18446744073709551616", + "floor_float": 47.5447607729678 + }, + "r=[115/256,231/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "24732888927715721345/2305843009213693952", + "floor_float": 10.726180762908825 + }, + "r=[115/256,231/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "498655950696219326947/4611686018427387904", + "floor_float": 108.12877301353312 + }, + "r=[115/256,231/512],b=[7/8,1],k=[3/4,1]": { + "floor": "119961257410055473937/4611686018427387904", + "floor_float": 26.01245117961499 + }, + "r=[115/256,231/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "691887598850066438659/9223372036854775808", + "floor_float": 75.01460377890213 + }, + "r=[115/256,231/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2704283295642853552355/18446744073709551616", + "floor_float": 146.59949120761206 + }, + "r=[115/512,29/128],b=[0,1/8],k=[1,5/4]": { + "floor": "479176375259136976775/18446744073709551616", + "floor_float": 25.97620335298428 + }, + "r=[115/512,29/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "114768971179213002501/18446744073709551616", + "floor_float": 6.221638394321449 + }, + "r=[115/512,29/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "543735664299028767133/9223372036854775808", + "floor_float": 58.95193884908559 + }, + "r=[115/512,29/128],b=[0,1/8],k=[3/4,1]": { + "floor": "133061897543947852635/9223372036854775808", + "floor_float": 14.426599839219186 + }, + "r=[115/512,29/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "376599626680167300145/9223372036854775808", + "floor_float": 40.83101334038673 + }, + "r=[115/512,29/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1481248308581618179419/18446744073709551616", + "floor_float": 80.29863170773346 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "26208906459188446959/576460752303423488", + "floor_float": 45.46520531443437 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "201056548780612574805/18446744073709551616", + "floor_float": 10.899297349018898 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "951950628628468716139/9223372036854775808", + "floor_float": 103.21069396579274 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "1819761716321720975/72057594037927936", + "floor_float": 25.25426695989709 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "329601079116418526133/4611686018427387904", + "floor_float": 71.47084120631752 + }, + "r=[115/512,29/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2594069065295915672163/18446744073709551616", + "floor_float": 140.6247658085637 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "639422409977558133703/18446744073709551616", + "floor_float": 34.66315830167927 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "76611599145128228081/9223372036854775808", + "floor_float": 8.306246223073664 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1451345321784175234933/18446744073709551616", + "floor_float": 78.67758754525381 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "355149190637672346089/18446744073709551616", + "floor_float": 19.252676202291646 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "502561078655955566303/9223372036854775808", + "floor_float": 54.48778132854455 + }, + "r=[115/512,29/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1977195945389931513517/18446744073709551616", + "floor_float": 107.18400697106473 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "277351432234893839527/9223372036854775808", + "floor_float": 30.070502537103806 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "132894881710283696173/18446744073709551616", + "floor_float": 7.204245973124686 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1258940105551201006931/18446744073709551616", + "floor_float": 68.24727987338711 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "154043293763927908731/9223372036854775808", + "floor_float": 16.70140737556734 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "871923733195521678337/18446744073709551616", + "floor_float": 47.267080288612796 + }, + "r=[115/512,29/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "857470090167070806839/9223372036854775808", + "floor_float": 92.96709346004795 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "541108968962100438899/9223372036854775808", + "floor_float": 58.66715197001007 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "129746678305742335243/9223372036854775808", + "floor_float": 14.067163049186371 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1228556073351542091275/9223372036854775808", + "floor_float": 133.20031637480028 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "300582127986085426851/9223372036854775808", + "floor_float": 32.58917961728297 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "850660782707232354539/9223372036854775808", + "floor_float": 92.22882686594009 + }, + "r=[115/512,29/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3348244789043882458705/18446744073709551616", + "floor_float": 181.50871371473235 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "366904644870031051755/9223372036854775808", + "floor_float": 39.77988130631102 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "175880880203433740733/18446744073709551616", + "floor_float": 9.53452162076128 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1665706219877420290707/18446744073709551616", + "floor_float": 90.29811511568582 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "407592628503722935361/18446744073709551616", + "floor_float": 22.095640665640676 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1153518607663444216279/18446744073709551616", + "floor_float": 62.532369021558026 + }, + "r=[115/512,29/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "567344193659731576367/4611686018427387904", + "floor_float": 123.02316146258354 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "477311439780599540835/9223372036854775808", + "floor_float": 51.75020999623101 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "228887244396916357587/18446744073709551616", + "floor_float": 12.408002381467865 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2167268313700727332461/18446744073709551616", + "floor_float": 117.48785070366621 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "530270758094106762697/18446744073709551616", + "floor_float": 28.746035396558298 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "750350550364662131893/9223372036854775808", + "floor_float": 81.35316968310606 + }, + "r=[115/512,29/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2953097813735694487237/18446744073709551616", + "floor_float": 160.08775326072168 + }, + "r=[115/512,29/128],b=[7/8,1],k=[1,5/4]": { + "floor": "76390008094082682995/1152921504606846976", + "floor_float": 66.25777018543177 + }, + "r=[115/512,29/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "73255533555007579565/4611686018427387904", + "floor_float": 15.884761725384797 + }, + "r=[115/512,29/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1387617933253379109501/9223372036854775808", + "floor_float": 150.44583778131593 + }, + "r=[115/512,29/128],b=[7/8,1],k=[3/4,1]": { + "floor": "84869119410514797759/2305843009213693952", + "floor_float": 36.80611345672474 + }, + "r=[115/512,29/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1921499036971806695355/18446744073709551616", + "floor_float": 104.16467151568187 + }, + "r=[115/512,29/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3781991132243096291279/18446744073709551616", + "floor_float": 205.0221500949439 + }, + "r=[117/256,235/512],b=[0,1/8],k=[1,5/4]": { + "floor": "320119827576841208641/18446744073709551616", + "floor_float": 17.35373062572482 + }, + "r=[117/256,235/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "72326800064490816983/18446744073709551616", + "floor_float": 3.920843687942283 + }, + "r=[117/256,235/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "180787547234073819513/4611686018427387904", + "floor_float": 39.20205029390171 + }, + "r=[117/256,235/512],b=[0,1/8],k=[3/4,1]": { + "floor": "175509948773548347115/18446744073709551616", + "floor_float": 9.514413387655036 + }, + "r=[117/256,235/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "503532764604598244069/18446744073709551616", + "floor_float": 27.296565865096877 + }, + "r=[117/256,235/512],b=[0,1/8],k=[7/4,2]": { + "floor": "488216657039182143465/9223372036854775808", + "floor_float": 52.93255602054917 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "289850797675946927999/9223372036854775808", + "floor_float": 31.425686453691807 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "65362258199545733263/9223372036854775808", + "floor_float": 7.086590233850596 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1314302174588656083753/18446744073709551616", + "floor_float": 71.24846364957219 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "317392297269558650143/18446744073709551616", + "floor_float": 17.205870911491026 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "114170416291682754289/2305843009213693952", + "floor_float": 49.513525350806745 + }, + "r=[117/256,235/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1778398010054782861671/18446744073709551616", + "floor_float": 96.40714930226467 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "108703987699423645395/4611686018427387904", + "floor_float": 23.571419924310533 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "98158518213323890167/18446744073709551616", + "floor_float": 5.321183934742185 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "984065733455370601461/18446744073709551616", + "floor_float": 53.34631030404271 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "119129744668302431511/9223372036854775808", + "floor_float": 12.916072797701693 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "684535023513494335563/18446744073709551616", + "floor_float": 37.10871798178732 + }, + "r=[117/256,235/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "665084436834487565387/9223372036854775808", + "floor_float": 72.10859913022496 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "186966063843488837657/9223372036854775808", + "floor_float": 20.27090126001741 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "84454667782655724387/18446744073709551616", + "floor_float": 4.578296714324844 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "26422033135730201163/576460752303423488", + "floor_float": 45.83492116358827 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "204960563768731876755/18446744073709551616", + "floor_float": 11.110934425595643 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "73553086113205206193/2305843009213693952", + "floor_float": 31.89856630278019 + }, + "r=[117/256,235/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "285561912932486540823/4611686018427387904", + "floor_float": 61.921369276103675 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "759243081060714053801/18446744073709551616", + "floor_float": 41.158649896530704 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "85495202392362609961/9223372036854775808", + "floor_float": 9.269408417088744 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "862186755915286140011/9223372036854775808", + "floor_float": 93.47847538515826 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "415362737344313122885/18446744073709551616", + "floor_float": 22.51685910991151 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "598618568470035278469/9223372036854775808", + "floor_float": 64.9023552425375 + }, + "r=[117/256,235/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2335592089530034262591/18446744073709551616", + "floor_float": 126.6127008754211 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "125790139492933625655/4611686018427387904", + "floor_float": 27.27638850309866 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "113528595087697188287/18446744073709551616", + "floor_float": 6.154397471665423 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1139763845020024918415/18446744073709551616", + "floor_float": 61.78672184455714 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "68899800267232645497/4611686018427387904", + "floor_float": 14.940262626710195 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "198111275179670025991/4611686018427387904", + "floor_float": 42.958534988734364 + }, + "r=[117/256,235/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1541447091046110389659/18446744073709551616", + "floor_float": 83.5620142441827 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "664881389891959884355/18446744073709551616", + "floor_float": 36.04329236830223 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "149835925202536686927/18446744073709551616", + "floor_float": 8.122621781048291 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1508732729437107828313/18446744073709551616", + "floor_float": 81.78856514778485 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "181942492605324535247/9223372036854775808", + "floor_float": 19.726244575012068 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1047996494813663147501/18446744073709551616", + "floor_float": 56.812003821708366 + }, + "r=[117/256,235/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1021274172262948164567/9223372036854775808", + "floor_float": 110.72676762708237 + }, + "r=[117/256,235/512],b=[7/8,1],k=[1,5/4]": { + "floor": "863412640610922594897/18446744073709551616", + "floor_float": 46.80569303509042 + }, + "r=[117/256,235/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "194330529243387506203/18446744073709551616", + "floor_float": 10.534679099296929 + }, + "r=[117/256,235/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1962743475648159319699/18446744073709551616", + "floor_float": 106.4005370164742 + }, + "r=[117/256,235/512],b=[7/8,1],k=[3/4,1]": { + "floor": "472181261632608273523/18446744073709551616", + "floor_float": 25.596997483451013 + }, + "r=[117/256,235/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1362141251564247278053/18446744073709551616", + "floor_float": 73.84182520890404 + }, + "r=[117/256,235/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2659784694345326640287/18446744073709551616", + "floor_float": 144.18721719764483 + }, + "r=[117/512,59/256],b=[0,1/8],k=[1,5/4]": { + "floor": "476924688522182531823/18446744073709551616", + "floor_float": 25.85413917038614 + }, + "r=[117/512,59/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "28530689254052287251/4611686018427387904", + "floor_float": 6.186607054350465 + }, + "r=[117/512,59/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "541263408211011219857/9223372036854775808", + "floor_float": 58.68389630692868 + }, + "r=[117/512,59/256],b=[0,1/8],k=[3/4,1]": { + "floor": "264802495139980715545/18446744073709551616", + "floor_float": 14.354972025517466 + }, + "r=[117/512,59/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "374871857824137704321/9223372036854775808", + "floor_float": 40.64368826566072 + }, + "r=[117/512,59/256],b=[0,1/8],k=[7/4,2]": { + "floor": "368626034807101617359/4611686018427387904", + "floor_float": 79.93302955451534 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "835061649027377322239/18446744073709551616", + "floor_float": 45.26878270174051 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "25000137506817676035/2305843009213693952", + "floor_float": 10.842081358931226 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "947992886304436009377/9223372036854775808", + "floor_float": 102.78159468320733 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "463721294328809419041/18446744073709551616", + "floor_float": 25.13838173695426 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1312863715637764254323/18446744073709551616", + "floor_float": 71.17048463359278 + }, + "r=[117/512,59/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "161455922072379252677/1152921504606846976", + "floor_float": 140.04068917721912 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "318272005519098908727/9223372036854775808", + "floor_float": 34.50711998251255 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "9524421171154957623/1152921504606846976", + "floor_float": 8.26111850034651 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1445040661052306247935/18446744073709551616", + "floor_float": 78.33581120214 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "353455594443919897591/18446744073709551616", + "floor_float": 19.16086616866267 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1000711892977640561563/18446744073709551616", + "floor_float": 54.248700419921974 + }, + "r=[117/512,59/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1968610785990803404997/18446744073709551616", + "floor_float": 106.71860454748128 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "552151791917601667101/18446744073709551616", + "floor_float": 29.932208616941395 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "33039956393057486819/4611686018427387904", + "floor_float": 7.164398500035851 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "611984872902742533/9007199254740992", + "floor_float": 67.94396966189248 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "306587763434817673239/18446744073709551616", + "floor_float": 16.62015595867506 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "868011284083600241159/18446744073709551616", + "floor_float": 47.05498599726859 + }, + "r=[117/512,59/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "853656320116936666119/9223372036854775808", + "floor_float": 92.5536036826764 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1077720389026576931277/18446744073709551616", + "floor_float": 58.42333935572689 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "129089891139313103953/9223372036854775808", + "floor_float": 13.995954041916054 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2447316012394334687627/18446744073709551616", + "floor_float": 132.66926686982498 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "598503153498430165019/18446744073709551616", + "floor_float": 32.44492096312116 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1694457546266282218591/18446744073709551616", + "floor_float": 91.85672764231802 + }, + "r=[117/512,59/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1667460417439264686005/9223372036854775808", + "floor_float": 180.7864207121237 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "365286624264007712021/9223372036854775808", + "floor_float": 39.604455160693334 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "43735436938450677875/4611686018427387904", + "floor_float": 9.483611148654202 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1658627881469818744353/18446744073709551616", + "floor_float": 89.91439762173036 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "405686487393737066109/18446744073709551616", + "floor_float": 21.992308549015146 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1148565639118049861295/18446744073709551616", + "floor_float": 62.26386805869958 + }, + "r=[117/512,59/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2259741241094864732611/18446744073709551616", + "floor_float": 122.50081814250711 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "237644781655124982607/4611686018427387904", + "floor_float": 51.53099771006597 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "56926253442578899759/4611686018427387904", + "floor_float": 12.343913530780894 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2158447696157494389275/18446744073709551616", + "floor_float": 117.00968406851437 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "263940817102487862859/9223372036854775808", + "floor_float": 28.61652073101165 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "93407746696948244885/1152921504606846976", + "floor_float": 81.0183055166456 + }, + "r=[117/512,59/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "367636889882116203599/2305843009213693952", + "floor_float": 159.43708587840183 + }, + "r=[117/512,59/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1217254770358944680585/18446744073709551616", + "floor_float": 65.98751332457559 + }, + "r=[117/512,59/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "145779696749121741877/9223372036854775808", + "floor_float": 15.805466391967583 + }, + "r=[117/512,59/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2764396497767976161863/18446744073709551616", + "floor_float": 149.858234424568 + }, + "r=[117/512,59/256],b=[7/8,1],k=[3/4,1]": { + "floor": "337999260117478884167/9223372036854775808", + "floor_float": 36.64595321178637 + }, + "r=[117/512,59/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1913896581012402445217/18446744073709551616", + "floor_float": 103.7525415523113 + }, + "r=[117/512,59/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3767256929098459637209/18446744073709551616", + "floor_float": 204.223407341981 + }, + "r=[119/256,239/512],b=[0,1/8],k=[1,5/4]": { + "floor": "78551878019948435097/4611686018427387904", + "floor_float": 17.033223360408886 + }, + "r=[119/256,239/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "35427205987777166167/9223372036854775808", + "floor_float": 3.8410253697039476 + }, + "r=[119/256,239/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "354578206808975547977/9223372036854775808", + "floor_float": 38.443446213830576 + }, + "r=[119/256,239/512],b=[0,1/8],k=[3/4,1]": { + "floor": "21527901958692861949/2305843009213693952", + "floor_float": 9.336239229067898 + }, + "r=[119/256,239/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "247037865875654533045/9223372036854775808", + "floor_float": 26.78389908685673 + }, + "r=[119/256,239/512],b=[0,1/8],k=[7/4,2]": { + "floor": "478410641175205714277/9223372036854775808", + "floor_float": 51.869385650234115 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "569907612171223055857/18446744073709551616", + "floor_float": 30.894753561603316 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "64119795370198499377/9223372036854775808", + "floor_float": 6.95188214396952 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "322813793549584065317/4611686018427387904", + "floor_float": 69.99908325494923 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "77981557632929074063/4611686018427387904", + "floor_float": 16.909554839885054 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "897757386751917564691/18446744073709551616", + "floor_float": 48.66752545406691 + }, + "r=[119/256,239/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1746152617103449274389/18446744073709551616", + "floor_float": 94.65912304774045 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "213570408205418455441/9223372036854775808", + "floor_float": 23.15535005549307 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "96229333273379761743/18446744073709551616", + "floor_float": 5.216602609591499 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "965950556618008881829/18446744073709551616", + "floor_float": 52.36428459994137 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "116992826941379521615/9223372036854775808", + "floor_float": 12.684387713506434 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "672279594398790978605/18446744073709551616", + "floor_float": 36.44434983824215 + }, + "r=[119/256,239/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1304795882890731857235/18446744073709551616", + "floor_float": 70.73312654401367 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "367178948931101739919/18446744073709551616", + "floor_float": 19.90481070610223 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20691408325019015261/4611686018427387904", + "floor_float": 4.486733971554054 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "207384901814073364077/4611686018427387904", + "floor_float": 44.96943221750227 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "25150552229706939067/2305843009213693952", + "floor_float": 10.907313346663365 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "577645303653263606745/18446744073709551616", + "floor_float": 31.314214657345865 + }, + "r=[119/256,239/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "559949613372700287767/9223372036854775808", + "floor_float": 60.70985873010999 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "373477297751376263507/9223372036854775808", + "floor_float": 40.492489759605775 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "41959359042172738175/4611686018427387904", + "floor_float": 9.098485645924596 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "847764464509152251075/9223372036854775808", + "floor_float": 91.91480741768332 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "102119052987501245259/4611686018427387904", + "floor_float": 22.14353982024224 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "588841123870821076621/9223372036854775808", + "floor_float": 63.84228257495502 + }, + "r=[119/256,239/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2295277695102086875283/18446744073709551616", + "floor_float": 124.42725317436019 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "123617458991000044375/4611686018427387904", + "floor_float": 26.805263519036 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "111333334861394486067/18446744073709551616", + "floor_float": 6.035392176339003 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1119283216524762035541/18446744073709551616", + "floor_float": 60.67646474913551 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "135379472786355983107/9223372036854775808", + "floor_float": 14.677871850490938 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "389295202012147591443/9223372036854775808", + "floor_float": 42.207470375975376 + }, + "r=[119/256,239/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "756392492999635187891/9223372036854775808", + "floor_float": 82.00823841619312 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "326942265760547843735/9223372036854775808", + "floor_float": 35.447151481491915 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "147029801962970820037/18446744073709551616", + "floor_float": 7.970501535418323 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1482897697843590080185/18446744073709551616", + "floor_float": 80.38804527878868 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "89434124485255753621/4611686018427387904", + "floor_float": 19.392934412250668 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1030487493097210739807/18446744073709551616", + "floor_float": 55.86283893675686 + }, + "r=[119/256,239/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1003204578116379733655/9223372036854775808", + "floor_float": 108.76765830411829 + }, + "r=[119/256,239/512],b=[7/8,1],k=[1,5/4]": { + "floor": "849723449299797230645/18446744073709551616", + "floor_float": 46.06360048713583 + }, + "r=[119/256,239/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "190797088038233116819/18446744073709551616", + "floor_float": 10.34313086774802 + }, + "r=[119/256,239/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1930663530925220756981/18446744073709551616", + "floor_float": 104.66147972838296 + }, + "r=[119/256,239/512],b=[7/8,1],k=[3/4,1]": { + "floor": "464491405906770840839/18446744073709551616", + "floor_float": 25.18012956924836 + }, + "r=[119/256,239/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "335091568989984901911/4611686018427387904", + "floor_float": 72.66140141610359 + }, + "r=[119/256,239/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2614939317460933510571/18446744073709551616", + "floor_float": 141.7561444454453 + }, + "r=[119/512,15/64],b=[0,1/8],k=[1,5/4]": { + "floor": "118664176848057064045/4611686018427387904", + "floor_float": 25.731191666973512 + }, + "r=[119/512,15/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "56736244452165623127/9223372036854775808", + "floor_float": 6.151355949370662 + }, + "r=[119/512,15/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "538767426946994115615/9223372036854775808", + "floor_float": 58.413281476035635 + }, + "r=[119/512,15/64],b=[0,1/8],k=[3/4,1]": { + "floor": "263470895470677619873/18446744073709551616", + "floor_float": 14.282785862800496 + }, + "r=[119/512,15/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "186565965708054721325/4611686018427387904", + "floor_float": 40.45504506650581 + }, + "r=[119/512,15/64],b=[0,1/8],k=[7/4,2]": { + "floor": "1467686763214538503571/18446744073709551616", + "floor_float": 79.56345886027104 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "831406022201645383797/18446744073709551616", + "floor_float": 45.07061077442777 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "198938909901264039429/18446744073709551616", + "floor_float": 10.784499915342424 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "944000043197540064467/9223372036854775808", + "floor_float": 102.3486897661183 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "461566810895123518909/18446744073709551616", + "floor_float": 25.021586955984947 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1307272164406627526783/18446744073709551616", + "floor_float": 70.86736603397465 + }, + "r=[119/512,15/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "80388054193475452741/576460752303423488", + "floor_float": 139.45104479751768 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "633640646879876430549/18446744073709551616", + "floor_float": 34.34972829611412 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "151553034404558134653/18446744073709551616", + "floor_float": 8.215706457409617 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1438681878461435062895/18446744073709551616", + "floor_float": 77.99110090717072 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "351748832071221260043/18446744073709551616", + "floor_float": 19.068342395042848 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "498133897438615451049/9223372036854775808", + "floor_float": 54.00778537916183 + }, + "r=[119/512,15/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "122495991371041851783/1152921504606846976", + "floor_float": 106.24833597219934 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "274790227819954073031/9223372036854775808", + "floor_float": 29.79281619801809 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "131420183219494039365/18446744073709551616", + "floor_float": 7.124302407750924 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1247701422523367268295/18446744073709551616", + "floor_float": 67.63802964565446 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "305077266819668591885/18446744073709551616", + "floor_float": 16.53827177309123 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "432035776222575338673/9223372036854775808", + "floor_float": 46.84141271719774 + }, + "r=[119/512,15/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1699604548758774492663/18446744073709551616", + "floor_float": 92.13574720652544 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1073183183245773709217/18446744073709551616", + "floor_float": 58.177376937498856 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "64214480694349999593/4611686018427387904", + "floor_float": 13.92429589476855 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1218712501333300936323/9223372036854775808", + "floor_float": 132.1330741580808 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "148955304792065628805/4611686018427387904", + "floor_float": 32.29953301175961 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1687526961544176554855/18446744073709551616", + "floor_float": 91.48101989170293 + }, + "r=[119/512,15/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3321473764913702976061/18446744073709551616", + "floor_float": 180.0574535886522 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "727308430955370736357/18446744073709551616", + "floor_float": 39.427469045441825 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "173996648168975733885/18446744073709551616", + "floor_float": 9.432377197499973 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "412872089105055525947/4611686018427387904", + "floor_float": 89.527363193266 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "403765376966674821649/18446744073709551616", + "floor_float": 21.888164944084874 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1143570717641731297175/18446744073709551616", + "floor_float": 61.993092822898625 + }, + "r=[119/512,15/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2250009161142660063547/18446744073709551616", + "floor_float": 121.97324103115797 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "946499602114086973783/18446744073709551616", + "floor_float": 51.30984624343793 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "226515222390874895515/18446744073709551616", + "floor_float": 12.279414810861187 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1074772239496010104891/9223372036854775808", + "floor_float": 116.5270396988685 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "262736897207034623901/9223372036854775808", + "floor_float": 28.48599147439676 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1488287298014953823819/18446744073709551616", + "floor_float": 80.68021608951972 + }, + "r=[119/512,15/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2928980680652261486207/18446744073709551616", + "floor_float": 158.78036085656268 + }, + "r=[119/512,15/64],b=[7/8,1],k=[1,5/4]": { + "floor": "303056309246377277145/4611686018427387904", + "floor_float": 65.71486177407222 + }, + "r=[119/512,15/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "290087451453441254779/18446744073709551616", + "floor_float": 15.725672253830215 + }, + "r=[119/512,15/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "688361882209347535137/4611686018427387904", + "floor_float": 149.2646896295171 + }, + "r=[119/512,15/64],b=[7/8,1],k=[3/4,1]": { + "floor": "673020990566655691511/18446744073709551616", + "floor_float": 36.484541005035716 + }, + "r=[119/512,15/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1906220289195976578849/18446744073709551616", + "floor_float": 103.33640893911122 + }, + "r=[119/512,15/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1876190233855648771027/9223372036854775808", + "floor_float": 203.4169527542381 + }, + "r=[121/256,243/512],b=[0,1/8],k=[1,5/4]": { + "floor": "308276235219283889873/18446744073709551616", + "floor_float": 16.711688197519997 + }, + "r=[121/256,243/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "17346512104397499869/4611686018427387904", + "floor_float": 3.761425221726774 + }, + "r=[121/256,243/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "86889938215902278057/2305843009213693952", + "floor_float": 37.682503912325004 + }, + "r=[121/256,243/512],b=[0,1/8],k=[3/4,1]": { + "floor": "10558633674654473687/1152921504606846976", + "floor_float": 9.158154854831189 + }, + "r=[121/256,243/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "15143444320766246671/576460752303423488", + "floor_float": 26.269688370380862 + }, + "r=[121/256,243/512],b=[0,1/8],k=[7/4,2]": { + "floor": "937138245555704683135/18446744073709551616", + "floor_float": 50.80236608753746 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "560075377388602311113/18446744073709551616", + "floor_float": 30.36174704601807 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "62878768681175108937/9223372036854775808", + "floor_float": 6.817329760734355 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "634046833168428277111/9223372036854775808", + "floor_float": 68.74349539787642 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "19153065947705546933/1152921504606846976", + "floor_float": 16.612636568208394 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "220522186202555085021/4611686018427387904", + "floor_float": 47.81812667241263 + }, + "r=[121/256,243/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "107105574838879653871/1152921504606846976", + "floor_float": 92.89927754049768 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "13107394794830120851/576460752303423488", + "floor_float": 22.737705459488016 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "47151910397940146689/9223372036854775808", + "floor_float": 5.112220369028855 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "236940484440679455365/4611686018427387904", + "floor_float": 51.378277596070504 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "57426252973225687833/4611686018427387904", + "floor_float": 12.45233364625469 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "329991137519455642019/9223372036854775808", + "floor_float": 35.777710819955665 + }, + "r=[121/256,243/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1279289713013484322047/18446744073709551616", + "floor_float": 69.35043430437887 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "180202102919947020327/9223372036854775808", + "floor_float": 19.537551147226303 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20270513624156299283/4611686018427387904", + "floor_float": 4.395466981741455 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "813538128077272534081/18446744073709551616", + "floor_float": 44.10199029305847 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "98723746923754461377/9223372036854775808", + "floor_float": 10.703650089064372 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "566825700304910836995/18446744073709551616", + "floor_float": 30.727682784560088 + }, + "r=[121/256,243/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "137180651086467824773/2305843009213693952", + "floor_float": 59.492623972369756 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "367300643462932244921/9223372036854775808", + "floor_float": 39.822815559783486 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "82343081980636927225/9223372036854775808", + "floor_float": 8.927654837255854 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "833258496985578839953/9223372036854775808", + "floor_float": 90.34206726737708 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "200784342593294686941/9223372036854775808", + "floor_float": 21.76908204407239 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "289508568448795226329/4611686018427387904", + "floor_float": 62.77716377307043 + }, + "r=[121/256,243/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2254654833573648560809/18446744073709551616", + "floor_float": 122.22508343827467 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "7589795836154472869/288230376151711744", + "floor_float": 26.332394029696367 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "109143084925805044907/18446744073709551616", + "floor_float": 5.916658489416387 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "549362858930822848055/9223372036854775808", + "floor_float": 59.56204051356458 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "265911540003800867457/18446744073709551616", + "floor_float": 14.415093468054351 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "764682370828242056549/18446744073709551616", + "floor_float": 41.453514385667305 + }, + "r=[121/256,243/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1483946846050822807289/18446744073709551616", + "floor_float": 80.44491971706573 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "160710672476151096625/4611686018427387904", + "floor_float": 34.848572048049874 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "144227594972059305925/18446744073709551616", + "floor_float": 7.818593590053306 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "364232337697544165955/4611686018427387904", + "floor_float": 78.98029836423025 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "351572926104434294391/18446744073709551616", + "floor_float": 19.05880651347567 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "253226569035226816303/4611686018427387904", + "floor_float": 54.909759255808694 + }, + "r=[121/256,243/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1970018204054314912685/18446744073709551616", + "floor_float": 106.794900833584 + }, + "r=[121/256,243/512],b=[7/8,1],k=[1,5/4]": { + "floor": "835973327866884691463/18446744073709551616", + "floor_float": 45.31820491066066 + }, + "r=[121/256,243/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "23408145908696984987/2305843009213693952", + "floor_float": 10.151665059226778 + }, + "r=[121/256,243/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "949190364277676723703/9223372036854775808", + "floor_float": 102.91142550521644 + }, + "r=[121/256,243/512],b=[7/8,1],k=[3/4,1]": { + "floor": "456777528732335759363/18446744073709551616", + "floor_float": 24.761959449707916 + }, + "r=[121/256,243/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "659244312171574505647/9223372036854775808", + "floor_float": 71.47541154551331 + }, + "r=[121/256,243/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2569760809471856618581/18446744073709551616", + "floor_float": 139.30701261987477 + }, + "r=[121/512,61/256],b=[0,1/8],k=[1,5/4]": { + "floor": "236185984707028597935/9223372036854775808", + "floor_float": 25.60733577299885 + }, + "r=[121/512,61/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "28204736075722745783/4611686018427387904", + "floor_float": 6.115927225535776 + }, + "r=[121/512,61/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "268122394213792600851/4611686018427387904", + "floor_float": 58.13977645972176 + }, + "r=[121/512,61/256],b=[0,1/8],k=[3/4,1]": { + "floor": "262132566731335210697/18446744073709551616", + "floor_float": 14.210234916465755 + }, + "r=[121/512,61/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "742750657874876452185/18446744073709551616", + "floor_float": 40.26459384414893 + }, + "r=[121/512,61/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1460793355381656721045/18446744073709551616", + "floor_float": 79.18976647285909 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "827723273640044793719/18446744073709551616", + "floor_float": 44.87096857486751 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "197870131912417881199/18446744073709551616", + "floor_float": 10.72656134447184 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "939968114207779923963/9223372036854775808", + "floor_float": 101.91154714911778 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "459396742551080082249/18446744073709551616", + "floor_float": 24.90394731533225 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "10169037855055070501/144115188075855872", + "floor_float": 70.56187478104347 + }, + "r=[121/512,61/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2561421498659479045843/18446744073709551616", + "floor_float": 138.85493767488418 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "630719167299779671177/18446744073709551616", + "floor_float": 34.19135457073347 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "150710443465306202761/18446744073709551616", + "floor_float": 8.17002951106694 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "179032188336228825703/2305843009213693952", + "floor_float": 77.64283501558931 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "350031034341168510865/18446744073709551616", + "floor_float": 18.975220393502156 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "991784558714240638579/18446744073709551616", + "floor_float": 53.76474865977785 + }, + "r=[121/512,61/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1951160673452027292665/18446744073709551616", + "floor_float": 105.7726320512484 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "546991687159614029971/18446744073709551616", + "floor_float": 29.652478777498246 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "65338154707430582673/9223372036854775808", + "floor_float": 7.083976927999022 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1241998875262732031525/18446744073709551616", + "floor_float": 67.32889393922035 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "151779157428350564037/9223372036854775808", + "floor_float": 16.455929222183705 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "860095023945124891743/18446744073709551616", + "floor_float": 46.62584467526382 + }, + "r=[121/512,61/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "845905379884240393457/9223372036854775808", + "floor_float": 91.71324505876693 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1068608392283600625805/18446744073709551616", + "floor_float": 57.929377022506095 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "255527835658128637857/18446744073709551616", + "floor_float": 13.8521917275531 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "606861086143900220403/4611686018427387904", + "floor_float": 131.59202159882588 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "296559473450825820305/9223372036854775808", + "floor_float": 32.15304253865426 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "210067569561373497061/2305843009213693952", + "floor_float": 91.10228611487639 + }, + "r=[121/512,61/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "206742658860762676947/1152921504606846976", + "floor_float": 179.32067190581472 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "181005465870489511177/4611686018427387904", + "floor_float": 39.24930386570711 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "43261453176010365597/4611686018427387904", + "floor_float": 9.380832303662073 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "411069194812372728687/4611686018427387904", + "floor_float": 89.13642281148832 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "12557217052268189101/576460752303423488", + "floor_float": 21.78329921350591 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1138534471664802817303/18446744073709551616", + "floor_float": 61.72007738143076 + }, + "r=[121/512,61/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2240169725389714994679/18446744073709551616", + "floor_float": 121.43984415018924 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "942388515534833243177/18446744073709551616", + "floor_float": 51.086983793412784 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "225317985403780798303/18446744073709551616", + "floor_float": 12.214512463741816 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "535139309121607235525/4611686018427387904", + "floor_float": 116.0398403064077 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "523047765204502551081/18446744073709551616", + "floor_float": 28.354476167420486 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1482002385883683571985/18446744073709551616", + "floor_float": 80.33951032018953 + }, + "r=[121/512,61/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2916734595869573689901/18446744073709551616", + "floor_float": 158.11649927027108 + }, + "r=[121/512,61/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1207153336790159288795/18446744073709551616", + "floor_float": 65.43991351355082 + }, + "r=[121/512,61/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "18037894643879917021/1152921504606846976", + "floor_float": 15.6453796479674 + }, + "r=[121/512,61/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2742402869655975170029/18446744073709551616", + "floor_float": 148.6659574555745 + }, + "r=[121/512,61/256],b=[7/8,1],k=[3/4,1]": { + "floor": "670020503493521334373/18446744073709551616", + "floor_float": 36.321884274875366 + }, + "r=[121/512,61/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1898477821443263118059/18446744073709551616", + "floor_float": 102.91668892121668 + }, + "r=[121/512,61/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1868674742836149652969/9223372036854775808", + "floor_float": 202.60212158517447 + }, + "r=[123/256,247/512],b=[0,1/8],k=[1,5/4]": { + "floor": "151174035256942885723/9223372036854775808", + "floor_float": 16.390321744897772 + }, + "r=[123/256,247/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "8490069777303046659/2305843009213693952", + "floor_float": 3.6819808388421946 + }, + "r=[123/256,247/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "340507380373465924009/9223372036854775808", + "floor_float": 36.91788415482598 + }, + "r=[123/256,247/512],b=[0,1/8],k=[3/4,1]": { + "floor": "165652136829404835499/18446744073709551616", + "floor_float": 8.980020331365338 + }, + "r=[123/256,247/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "237541933805171756627/9223372036854775808", + "floor_float": 25.754348068797512 + }, + "r=[123/256,247/512],b=[0,1/8],k=[7/4,2]": { + "floor": "458690358218465468325/9223372036854775808", + "floor_float": 49.73130828786145 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "550221929730482548243/18446744073709551616", + "floor_float": 29.827590578147788 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "123277800530722266953/18446744073709551616", + "floor_float": 6.682902957732187 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "622402597226518685703/9223372036854775808", + "floor_float": 67.4810248073612 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "300968427529350239251/18446744073709551616", + "floor_float": 16.31553114884338 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "216585839763251705137/4611686018427387904", + "floor_float": 46.96456760018297 + }, + "r=[123/256,247/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "840547251950059482451/9223372036854775808", + "floor_float": 91.13231566409752 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "411727662289870876111/18446744073709551616", + "floor_float": 22.319801296352804 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "46190475309114071831/9223372036854775808", + "floor_float": 5.007981367827953 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "929478719685395389711/18446744073709551616", + "floor_float": 50.38714235809754 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "14088900953966278095/1152921504606846976", + "floor_float": 12.220173617778668 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "647636110848358593027/18446744073709551616", + "floor_float": 35.10842391809267 + }, + "r=[123/256,247/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1253685772523269397341/18446744073709551616", + "floor_float": 67.96244190919484 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "353632496960313398153/18446744073709551616", + "floor_float": 19.170456073292268 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "79400848252876565483/18446744073709551616", + "floor_float": 4.304328608648032 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "199361334618129378353/4611686018427387904", + "floor_float": 43.22959842051709 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "193688438302321628305/18446744073709551616", + "floor_float": 10.499871279635085 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "138993027411215428635/4611686018427387904", + "floor_float": 30.13930845591541 + }, + "r=[123/256,247/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1074903151870247232805/18446744073709551616", + "floor_float": 58.270616623461905 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "722205261345745743789/18446744073709551616", + "floor_float": 39.150825666575955 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "161536988229017386891/18446744073709551616", + "floor_float": 8.7569376787333 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1637343682655547197427/18446744073709551616", + "floor_float": 88.76057889202804 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "394654719659870036537/18446744073709551616", + "floor_float": 21.394275221844442 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1138273986397828620651/18446744073709551616", + "floor_float": 61.70595644681307 + }, + "r=[123/256,247/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "69182540995034217133/576460752303423488", + "floor_float": 120.01257799181371 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "477012800364806264631/18446744073709551616", + "floor_float": 25.85891572294586 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "106955046020369052167/18446744073709551616", + "floor_float": 5.798044662678562 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "539025345181783250043/9223372036854775808", + "floor_float": 58.44124502708383 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "65265371512362113325/4611686018427387904", + "floor_float": 14.152171516355311 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "11729842513976463579/288230376151711744", + "floor_float": 40.69606635701156 + }, + "r=[123/256,247/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1454996805573159486241/18446744073709551616", + "floor_float": 78.87553487809443 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "631768573471432479759/18446744073709551616", + "floor_float": 34.24824299328976 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "141427396439083467329/18446744073709551616", + "floor_float": 7.666794523411149 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1430810218900666132987/18446744073709551616", + "floor_float": 77.56437738732812 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "345404936923548065209/18446744073709551616", + "floor_float": 18.724439149986473 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "995230004220388613483/18446744073709551616", + "floor_float": 53.95152663492515 + }, + "r=[123/256,247/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1933474595424189801591/18446744073709551616", + "floor_float": 104.81386784022192 + }, + "r=[123/256,247/512],b=[7/8,1],k=[1,5/4]": { + "floor": "822168113552716028501/18446744073709551616", + "floor_float": 44.56982274310818 + }, + "r=[123/256,247/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "183734430854484034543/18446744073709551616", + "floor_float": 9.960263454640964 + }, + "r=[123/256,247/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "466478034559015249695/4611686018427387904", + "floor_float": 101.15129969713051 + }, + "r=[123/256,247/512],b=[7/8,1],k=[3/4,1]": { + "floor": "112263677924300864217/4611686018427387904", + "floor_float": 24.343304699347993 + }, + "r=[123/256,247/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1296480407720357808059/18446744073709551616", + "floor_float": 70.28234373176522 + }, + "r=[123/256,247/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1262174588124817476009/9223372036854775808", + "floor_float": 136.8452430500924 + }, + "r=[123/512,31/128],b=[0,1/8],k=[1,5/4]": { + "floor": "470067363228871915083/18446744073709551616", + "floor_float": 25.48240282136378 + }, + "r=[123/512,31/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "28040569449234034357/4611686018427387904", + "floor_float": 6.080329262918041 + }, + "r=[123/512,31/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "533696407158471428669/9223372036854775808", + "floor_float": 57.86348040889231 + }, + "r=[123/512,31/128],b=[0,1/8],k=[3/4,1]": { + "floor": "65196086801167208507/4611686018427387904", + "floor_float": 14.137147789475803 + }, + "r=[123/512,31/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "92400503123284078081/2305843009213693952", + "floor_float": 40.072330490007296 + }, + "r=[123/512,31/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1453830708751176119041/18446744073709551616", + "floor_float": 78.81232064270829 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "51500707199066608277/1152921504606846976", + "floor_float": 44.6697429038143 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "196795781695033670617/18446744073709551616", + "floor_float": 10.668320702486929 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1871789363287064198421/18446744073709551616", + "floor_float": 101.46990470555471 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "457212477702681875197/18446744073709551616", + "floor_float": 24.785538080636396 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "647973975861976638977/9223372036854775808", + "floor_float": 70.25347923436249 + }, + "r=[123/512,31/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "637576586820417309845/4611686018427387904", + "floor_float": 138.25238411131787 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "627772254039062505289/18446744073709551616", + "floor_float": 34.031602082763676 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "149863617465658145197/18446744073709551616", + "floor_float": 8.124122981640157 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "712884006547197908067/9223372036854775808", + "floor_float": 77.29103886286426 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "174151315996986755193/9223372036854775808", + "floor_float": 18.881523514514264 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "987258486565716096155/18446744073709551616", + "floor_float": 53.51938979696503 + }, + "r=[123/512,31/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "121393256210029472805/1152921504606846976", + "floor_float": 105.29186568640273 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "544380364933752129553/18446744073709551616", + "floor_float": 29.51091871598129 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "16241173431712881317/2305843009213693952", + "floor_float": 7.043486207350784 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1236238604068743807737/18446744073709551616", + "floor_float": 67.01662901208897 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "151014441182285150881/9223372036854775808", + "floor_float": 16.373018520651797 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "856080714822495933067/18446744073709551616", + "floor_float": 46.40822854167468 + }, + "r=[123/512,31/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "26311466613766888327/288230376151711744", + "floor_float": 91.28623764456282 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1064000086012906442565/18446744073709551616", + "floor_float": 57.67956023899784 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "15886882306377584673/1152921504606846976", + "floor_float": 13.779673848476879 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "302170266524561487683/2305843009213693952", + "floor_float": 131.0454637705814 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "590398145212367806753/18446744073709551616", + "floor_float": 32.00554758353307 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1673489218343688962133/18446744073709551616", + "floor_float": 90.72003230796481 + }, + "r=[123/512,31/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "823536383614757787397/4611686018427387904", + "floor_float": 178.57598724719523 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "360354246511024181905/9223372036854775808", + "floor_float": 39.069685693162945 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "172090130489729634879/18446744073709551616", + "floor_float": 9.329024667013941 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "818495656865016048523/9223372036854775808", + "floor_float": 88.74147693430004 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "199941896665415889419/9223372036854775808", + "floor_float": 21.677743873551613 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "35420319265560248989/576460752303423488", + "floor_float": 61.44445935656094 + }, + "r=[123/512,31/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "278778236338924587971/2305843009213693952", + "floor_float": 120.90078779213577 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "234561326594735842339/4611686018427387904", + "floor_float": 50.862379975018904 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "112056995266982108469/9223372036854775808", + "floor_float": 12.149243771065988 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1065739256223865700727/9223372036854775808", + "floor_float": 115.54768169010009 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "520606405550903400873/18446744073709551616", + "floor_float": 28.22212979540795 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "737829211915498289761/9223372036854775808", + "floor_float": 79.99560344820509 + }, + "r=[123/512,31/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1452178348090262464105/9223372036854775808", + "floor_float": 157.44549198358737 + }, + "r=[123/512,31/128],b=[7/8,1],k=[1,5/4]": { + "floor": "601020972157905379173/9223372036854775808", + "floor_float": 65.16282437229509 + }, + "r=[123/512,31/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "287116606728263773931/18446744073709551616", + "floor_float": 15.564622438572489 + }, + "r=[123/512,31/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2731246174706445996763/18446744073709551616", + "floor_float": 148.0611518104726 + }, + "r=[123/512,31/128],b=[7/8,1],k=[3/4,1]": { + "floor": "333499503807678753697/9223372036854775808", + "floor_float": 36.15808865511231 + }, + "r=[123/512,31/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1890668169156982853523/18446744073709551616", + "floor_float": 102.4933268224596 + }, + "r=[123/512,31/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3722156900313928310613/18446744073709551616", + "floor_float": 201.7785298826136 + }, + "r=[125/256,251/512],b=[0,1/8],k=[1,5/4]": { + "floor": "18525370111681258259/1152921504606846976", + "floor_float": 16.06819721694628 + }, + "r=[125/256,251/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "66462164808234722275/18446744073709551616", + "floor_float": 3.602921173658886 + }, + "r=[125/256,251/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "666903609673768777697/18446744073709551616", + "floor_float": 36.15291712233625 + }, + "r=[125/256,251/512],b=[0,1/8],k=[3/4,1]": { + "floor": "20296114057588944585/2305843009213693952", + "floor_float": 8.802036381700608 + }, + "r=[125/256,251/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "465560431130419560879/18446744073709551616", + "floor_float": 25.23808154274445 + }, + "r=[125/256,251/512],b=[0,1/8],k=[7/4,2]": { + "floor": "448787920122676710627/9223372036854775808", + "floor_float": 48.65768379822571 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "540337928312770405293/18446744073709551616", + "floor_float": 29.29177778765112 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "120802875199379494509/18446744073709551616", + "floor_float": 6.548736986683125 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "610714054782886972477/9223372036854775808", + "floor_float": 66.21375049630375 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "295478085097236940067/18446744073709551616", + "floor_float": 16.01789908921405 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "850554131348537876989/18446744073709551616", + "floor_float": 46.10863185123029 + }, + "r=[125/256,251/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1648308304271574246797/18446744073709551616", + "floor_float": 89.35497222085694 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "403994296355084634135/18446744073709551616", + "floor_float": 21.900574688996773 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "45232180666043344301/9223372036854775808", + "floor_float": 4.904082854438102 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "911152007031659193053/18446744073709551616", + "floor_float": 49.393649274412624 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "110568451813470280773/9223372036854775808", + "floor_float": 11.987855566452328 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "635262998174065820927/18446744073709551616", + "floor_float": 34.43767613599886 + }, + "r=[125/256,251/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "153495903531384058335/2305843009213693952", + "floor_float": 66.5682368305408 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "346840931795639329493/18446744073709551616", + "floor_float": 18.802284587986442 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "19431453682766334865/4611686018427387904", + "floor_float": 4.2135248594813435 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "781329827905434040415/18446744073709551616", + "floor_float": 42.355974842139844 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "94964151889159152879/9223372036854775808", + "floor_float": 10.296033978646978 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "272547485029648974357/9223372036854775808", + "floor_float": 29.549657537460593 + }, + "r=[125/256,251/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1052277509729985879445/18446744073709551616", + "floor_float": 57.04407810534436 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "709771697659129283269/18446744073709551616", + "floor_float": 38.47680082853763 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "158392229060009733541/18446744073709551616", + "floor_float": 8.58645994258421 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1608029709523460884021/18446744073709551616", + "floor_float": 87.17146522432854 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "387725125102832037957/18446744073709551616", + "floor_float": 21.018621148185225 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "279613190366772976363/4611686018427387904", + "floor_float": 60.63144569025164 + }, + "r=[125/256,251/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "543190534650654640573/4611686018427387904", + "floor_float": 117.78567154836048 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "117063435728768424689/4611686018427387904", + "floor_float": 25.384086267149588 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "104773950871954839737/18446744073709551616", + "floor_float": 5.679807257763147 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1057316816493834028597/18446744073709551616", + "floor_float": 57.31725947240361 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "128103177798036825279/9223372036854775808", + "floor_float": 13.888974367092837 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "736708139166952809377/18446744073709551616", + "floor_float": 39.93702824862818 + }, + "r=[125/256,251/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1425903957614051892683/18446744073709551616", + "floor_float": 77.29840843004169 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "155164644937184017159/4611686018427387904", + "floor_float": 33.64596902676737 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "138632134647682365725/18446744073709551616", + "floor_float": 7.51526307806601 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1404580136283101379907/18446744073709551616", + "floor_float": 76.14244175940622 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "84806105420492816353/4611686018427387904", + "floor_float": 18.389392747386605 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "244374959790964441883/4611686018427387904", + "floor_float": 52.99037246128429 + }, + "r=[125/256,251/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "948348413398577792557/9223372036854775808", + "floor_float": 102.82014100799194 + }, + "r=[125/256,251/512],b=[7/8,1],k=[1,5/4]": { + "floor": "202078643453196690487/4611686018427387904", + "floor_float": 43.8188208489759 + }, + "r=[125/256,251/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "90102958604619735189/9223372036854775808", + "floor_float": 9.76898234665002 + }, + "r=[125/256,251/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "458314801419870303153/4611686018427387904", + "floor_float": 99.38118067633718 + }, + "r=[125/256,251/512],b=[7/8,1],k=[3/4,1]": { + "floor": "220655701373584182283/9223372036854775808", + "floor_float": 23.923539080055267 + }, + "r=[125/256,251/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1274387211500059929453/18446744073709551616", + "floor_float": 69.08466916480545 + }, + "r=[125/256,251/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2478623174140114610239/18446744073709551616", + "floor_float": 134.36643150878146 + }, + "r=[125/512,63/256],b=[0,1/8],k=[1,5/4]": { + "floor": "467743311242808061591/18446744073709551616", + "floor_float": 25.3564157107508 + }, + "r=[125/512,63/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "55750901851087459291/9223372036854775808", + "floor_float": 6.044524890497516 + }, + "r=[125/512,63/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "531126892600764033453/9223372036854775808", + "floor_float": 57.58489308232235 + }, + "r=[125/512,63/256],b=[0,1/8],k=[3/4,1]": { + "floor": "259426254945464192157/18446744073709551616", + "floor_float": 14.06352546058253 + }, + "r=[125/512,63/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "735627413011281936079/18446744073709551616", + "floor_float": 39.87844196633616 + }, + "r=[125/512,63/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1446801676947981162561/18446744073709551616", + "floor_float": 78.4312760651336 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "51266764906531771519/1152921504606846976", + "floor_float": 44.466830310372295 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "195715281426533121443/18446744073709551616", + "floor_float": 10.609746665562955 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "931782257714361571313/9223372036854775808", + "floor_float": 101.0240348097359 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "227506067767793866225/9223372036854775808", + "floor_float": 24.66625729274765 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "322551724821862392155/4611686018427387904", + "floor_float": 69.94225615816197 + }, + "r=[125/512,63/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "317385467002118658147/2305843009213693952", + "floor_float": 137.64400513560938 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "624800986522697237993/18446744073709551616", + "floor_float": 33.870529347949734 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "149012389404876439231/18446744073709551616", + "floor_float": 8.07797781600115 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1419215187974646097121/18446744073709551616", + "floor_float": 76.93580950132674 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "346561529717961976847/18446744073709551616", + "floor_float": 18.787138171005704 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "30709129622788097849/576460752303423488", + "floor_float": 53.2718480834653 + }, + "r=[125/512,63/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "483334356752111863887/4611686018427387904", + "floor_float": 104.80643192550471 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "270873719140416703807/9223372036854775808", + "floor_float": 29.368187476126817 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "2018408621319152745/288230376151711744", + "floor_float": 7.002761639032631 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "153803307157224497523/2305843009213693952", + "floor_float": 66.70155190212725 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "150244148806791713465/9223372036854775808", + "floor_float": 16.2895032539559 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "53251847308988809239/1152921504606846976", + "floor_float": 46.188614833017624 + }, + "r=[125/512,63/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "418997387258949076217/4611686018427387904", + "floor_float": 90.85557550638056 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "264838204538193216799/4611686018427387904", + "floor_float": 57.42763134349389 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "252843481007751513907/18446744073709551616", + "floor_float": 13.70667257037008 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2407180817161032207551/18446744073709551616", + "floor_float": 130.49353357657114 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "73457357542513006405/2305843009213693952", + "floor_float": 31.857050653054824 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "416593074814681068523/4611686018427387904", + "floor_float": 90.3342233512987 + }, + "r=[125/512,63/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1640132750663936960083/9223372036854775808", + "floor_float": 177.82354914344666 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "717367521020503983477/18446744073709551616", + "floor_float": 38.88857123804856 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "171128945310495029621/18446744073709551616", + "floor_float": 9.276918714039589 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1629637646917614175093/18446744073709551616", + "floor_float": 88.34283385761213 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "99480736610543174463/4611686018427387904", + "floor_float": 21.571446150721833 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "564160248222196938821/9223372036854775808", + "floor_float": 61.16637667524674 + }, + "r=[125/512,63/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2220180433868201875867/18446744073709551616", + "floor_float": 120.35622248548572 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "467033542841940539905/9223372036854775808", + "floor_float": 50.63587817728338 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "222903611598012159157/18446744073709551616", + "floor_float": 12.083628997471493 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2122310527472432945907/18446744073709551616", + "floor_float": 115.05068422872343 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "64768398400417809089/2305843009213693952", + "floor_float": 28.088815301655863 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1469255790002528139253/18446744073709551616", + "floor_float": 79.64851597288235 + }, + "r=[125/512,63/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2891856169691058047041/18446744073709551616", + "floor_float": 156.76783708473275 + }, + "r=[125/512,63/256],b=[7/8,1],k=[1,5/4]": { + "floor": "149611159435801738085/2305843009213693952", + "floor_float": 64.88349763534856 + }, + "r=[125/512,63/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "285618230444240730003/18446744073709551616", + "floor_float": 15.483395297455562 + }, + "r=[125/512,63/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "42499691431558633577/288230376151711744", + "floor_float": 147.45042489619024 + }, + "r=[125/512,63/256],b=[7/8,1],k=[3/4,1]": { + "floor": "663956354793817062395/18446744073709551616", + "floor_float": 35.993146115150644 + }, + "r=[125/512,63/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1882786537009247465555/18446744073709551616", + "floor_float": 102.06606268759428 + }, + "r=[125/512,63/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1853403987170249540799/9223372036854775808", + "floor_float": 200.94646293832807 + }, + "r=[127/256,255/512],b=[0,1/8],k=[1,5/4]": { + "floor": "145228268781436968149/9223372036854775808", + "floor_float": 15.745680451914271 + }, + "r=[127/256,255/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "32503896572745101707/9223372036854775808", + "floor_float": 3.524079527841438 + }, + "r=[127/256,255/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "652740199331224525137/18446744073709551616", + "floor_float": 35.38511710917674 + }, + "r=[127/256,255/512],b=[0,1/8],k=[3/4,1]": { + "floor": "159086892370908931359/18446744073709551616", + "floor_float": 8.624117716125355 + }, + "r=[127/256,255/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "228005747501485829483/9223372036854775808", + "floor_float": 24.72043267802923 + }, + "r=[127/256,255/512],b=[0,1/8],k=[7/4,2]": { + "floor": "877704635092355889859/18446744073709551616", + "floor_float": 47.58046360838646 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "530437013623362616483/18446744073709551616", + "floor_float": 28.755048126858643 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "118335051853150128881/18446744073709551616", + "floor_float": 6.414956015018509 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1197968659256603940619/18446744073709551616", + "floor_float": 64.94201114677784 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "144994643095797670215/9223372036854775808", + "floor_float": 15.720350704322419 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "834713390280347226637/18446744073709551616", + "floor_float": 45.24990355723466 + }, + "r=[127/256,255/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "50481460106777654233/576460752303423488", + "floor_float": 87.57137394881386 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "198128703628735702443/9223372036854775808", + "floor_float": 21.48115709060119 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "88553754001702920101/18446744073709551616", + "floor_float": 4.8005086235196615 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "446382983779711659365/9223372036854775808", + "floor_float": 48.396940077452506 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "216854982335558251227/18446744073709551616", + "floor_float": 11.755732148125897 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "622860571530509364675/18446744073709551616", + "floor_float": 33.76533924044706 + }, + "r=[127/256,255/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1202178463012733143309/18446744073709551616", + "floor_float": 65.17022506568449 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "85012081840845187357/4611686018427387904", + "floor_float": 18.434056763871972 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "38028404163457576427/9223372036854775808", + "floor_float": 4.12304784101775 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "765166737964190713977/18446744073709551616", + "floor_float": 41.47977198072111 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "93086866302865907539/9223372036854775808", + "floor_float": 10.09249826754349 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "534197456051794949147/18446744073709551616", + "floor_float": 28.958902119379292 + }, + "r=[127/256,255/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "257399859844996684007/4611686018427387904", + "floor_float": 55.814697448281954 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "348648882423076402353/9223372036854775808", + "floor_float": 37.800587575774266 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "77625922650647389477/9223372036854775808", + "floor_float": 8.416219397902363 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "789284789966879588027/9223372036854775808", + "floor_float": 85.57442839918559 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "47598218431744395465/2305843009213693952", + "floor_float": 20.64243673205474 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1098538801584474708091/18446744073709551616", + "floor_float": 59.5519077618755 + }, + "r=[127/256,255/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1065731793321689377365/9223372036854775808", + "floor_float": 115.54687256062482 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "114868628764404450583/4611686018427387904", + "floor_float": 24.90816337135964 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "51298731073270764913/9223372036854775808", + "floor_float": 5.561819567538982 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "259123278591028882873/4611686018427387904", + "floor_float": 56.188404317992024 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "251342412133936317881/18446744073709551616", + "floor_float": 13.62529946366804 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "722652860160375413173/18446744073709551616", + "floor_float": 39.17509004693712 + }, + "r=[127/256,255/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "349171624168974527853/4611686018427387904", + "floor_float": 75.71452669885885 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "38095300409109359923/1152921504606846976", + "floor_float": 33.04240597203543 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "135842640578509897013/18446744073709551616", + "floor_float": 7.364044301569399 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "172279805848027838927/2305843009213693952", + "floor_float": 74.71445591032507 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "83260421915978649095/4611686018427387904", + "floor_float": 18.05422606467275 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "959703297499837438985/18446744073709551616", + "floor_float": 52.02562000454131 + }, + "r=[127/256,255/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "929884062346045216869/9223372036854775808", + "floor_float": 100.81823205552284 + }, + "r=[127/256,255/512],b=[7/8,1],k=[1,5/4]": { + "floor": "794402891798436396507/18446744073709551616", + "floor_float": 43.06466705583159 + }, + "r=[127/256,255/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "176683808373748390333/18446744073709551616", + "floor_float": 9.578048444091529 + }, + "r=[127/256,255/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1800465380311134023093/18446744073709551616", + "floor_float": 97.60342384091358 + }, + "r=[127/256,255/512],b=[7/8,1],k=[3/4,1]": { + "floor": "433560378093018052903/18446744073709551616", + "floor_float": 23.503355191604342 + }, + "r=[127/256,255/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "78262529124898193485/1152921504606846976", + "floor_float": 67.88192328113975 + }, + "r=[127/256,255/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1216338326835372160261/9223372036854775808", + "floor_float": 131.8756656432294 + }, + "r=[127/512,1/4],b=[0,1/8],k=[1,5/4]": { + "floor": "465403977831927434433/18446744073709551616", + "floor_float": 25.229600192438564 + }, + "r=[127/512,1/4],b=[0,1/8],k=[1/2,3/4]": { + "floor": "55418791633741513609/9223372036854775808", + "floor_float": 6.008517428582405 + }, + "r=[127/512,1/4],b=[0,1/8],k=[3/2,7/4]": { + "floor": "132132991169999237943/2305843009213693952", + "floor_float": 57.30355043340846 + }, + "r=[127/512,1/4],b=[0,1/8],k=[3/4,1]": { + "floor": "129029694758604097385/9223372036854775808", + "floor_float": 13.989427537242006 + }, + "r=[127/512,1/4],b=[0,1/8],k=[5/4,3/2]": { + "floor": "91502665451710289951/2305843009213693952", + "floor_float": 39.68295546838344 + }, + "r=[127/512,1/4],b=[0,1/8],k=[7/4,2]": { + "floor": "1439697943290601667803/18446744073709551616", + "floor_float": 78.04618189192914 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[1,5/4]": { + "floor": "816496292864922432427/18446744073709551616", + "floor_float": 44.26235272752548 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "194628418124375679797/18446744073709551616", + "floor_float": 10.550827687893262 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "463815303929516877991/4611686018427387904", + "floor_float": 100.57391203048134 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[3/4,1]": { + "floor": "113199211147881381697/4611686018427387904", + "floor_float": 24.546166130035665 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1284417518101289774259/18446744073709551616", + "floor_float": 69.6284131751929 + }, + "r=[127/512,1/4],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2527742313648115050143/18446744073709551616", + "floor_float": 137.0291853970411 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[1,5/4]": { + "floor": "310902621074985181243/9223372036854775808", + "floor_float": 33.70812972009365 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "74078277683520383723/9223372036854775808", + "floor_float": 8.031582959845727 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "44144046703700912663/576460752303423488", + "floor_float": 76.57771414152656 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[3/4,1]": { + "floor": "86202061212182529847/4611686018427387904", + "floor_float": 18.692092407795347 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "978085874239857515439/18446744073709551616", + "floor_float": 53.02214148641187 + }, + "r=[127/512,1/4],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1924300250076270090375/18446744073709551616", + "floor_float": 104.31652558235457 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[1,5/4]": { + "floor": "539094443741828680401/18446744073709551616", + "floor_float": 29.22436835398776 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "2006606414060734207/288230376151711744", + "floor_float": 6.961814507033586 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1224562210819061219503/18446744073709551616", + "floor_float": 66.38365046568393 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[3/4,1]": { + "floor": "298936569352711714115/18446744073709551616", + "floor_float": 16.205383896378684 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "105993626793084355459/2305843009213693952", + "floor_float": 45.96740817547193 + }, + "r=[127/512,1/4],b=[1/8,1/4],k=[7/4,2]": { + "floor": "833980906727712091507/9223372036854775808", + "floor_float": 90.42039108856163 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1054667086817352024939/18446744073709551616", + "floor_float": 57.17361733881656 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "125741811288330094701/9223372036854775808", + "floor_float": 13.632954497106981 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "37451657911773182851/288230376151711744", + "floor_float": 129.93654038761093 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[3/4,1]": { + "floor": "584899873663566451077/18446744073709551616", + "floor_float": 31.707485685626793 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "829595148204526645229/9223372036854775808", + "floor_float": 89.94488619667818 + }, + "r=[127/512,1/4],b=[3/4,7/8],k=[7/4,2]": { + "floor": "204141082722452346883/1152921504606846976", + "floor_float": 177.06416430498072 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[1,5/4]": { + "floor": "357000188799688008463/9223372036854775808", + "floor_float": 38.706038027435696 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "85081381888488640875/9223372036854775808", + "floor_float": 9.224541908156823 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "405552736752387635895/4611686018427387904", + "floor_float": 87.94023164887611 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[3/4,1]": { + "floor": "395948715760654335649/18446744073709551616", + "floor_float": 21.464422891027347 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "140393097970665590011/2305843009213693952", + "floor_float": 60.88580072870636 + }, + "r=[127/512,1/4],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2210041194605979347031/18446744073709551616", + "floor_float": 119.80657322371312 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[1,5/4]": { + "floor": "929855184586474336263/18446744073709551616", + "floor_float": 50.40755056127826 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "55421536781678497999/4611686018427387904", + "floor_float": 12.017630116236225 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1056530687660770779809/9223372036854775808", + "floor_float": 114.54928668594115 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[3/4,1]": { + "floor": "257834981446497523801/9223372036854775808", + "floor_float": 27.954524702705235 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "365699755068008802667/4611686018427387904", + "floor_float": 79.2984937844304 + }, + "r=[127/512,1/4],b=[5/8,3/4],k=[7/4,2]": { + "floor": "719807630988786585105/4611686018427387904", + "floor_float": 156.08339945793733 + }, + "r=[127/512,1/4],b=[7/8,1],k=[1,5/4]": { + "floor": "595847429881676603083/9223372036854775808", + "floor_float": 64.6019077947618 + }, + "r=[127/512,1/4],b=[7/8,1],k=[1/2,3/4]": { + "floor": "284111771729284310221/18446744073709551616", + "floor_float": 15.401730006879788 + }, + "r=[127/512,1/4],b=[7/8,1],k=[3/2,7/4]": { + "floor": "169287751058668280465/1152921504606846976", + "floor_float": 146.83371797839473 + }, + "r=[127/512,1/4],b=[7/8,1],k=[3/4,1]": { + "floor": "82611581202516733267/2305843009213693952", + "floor_float": 35.82706232489252 + }, + "r=[127/512,1/4],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1874834014398048032029/18446744073709551616", + "floor_float": 101.63495557300416 + }, + "r=[127/512,1/4],b=[7/8,1],k=[7/4,2]": { + "floor": "1845653342209097849027/9223372036854775808", + "floor_float": 200.1061363278236 + }, + "r=[129/512,65/256],b=[0,1/8],k=[1,5/4]": { + "floor": "463045218035748777129/18446744073709551616", + "floor_float": 25.101731567669145 + }, + "r=[129/512,65/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "110170675266652716943/18446744073709551616", + "floor_float": 5.972364273414995 + }, + "r=[129/512,65/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "4108693981000622029/72057594037927936", + "floor_float": 57.019583235571076 + }, + "r=[129/512,65/256],b=[0,1/8],k=[3/4,1]": { + "floor": "32085482032389186467/2305843009213693952", + "floor_float": 13.91485972990439 + }, + "r=[129/512,65/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "364191385033334698491/9223372036854775808", + "floor_float": 39.48570908536463 + }, + "r=[129/512,65/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1432539328811351202957/18446744073709551616", + "floor_float": 77.65811262340966 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "812693966081052940477/18446744073709551616", + "floor_float": 44.05622817954692 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "96768057380863178733/9223372036854775808", + "floor_float": 10.491613803953381 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1846878019193162163691/18446744073709551616", + "floor_float": 100.11945803624758 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "225283419737315096335/9223372036854775808", + "floor_float": 24.425277310416078 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "319643884562239079129/4611686018427387904", + "floor_float": 69.31171881281708 + }, + "r=[129/512,65/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2516300778255792985163/18446744073709551616", + "floor_float": 136.4089385205948 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "154697135308693900829/4611686018427387904", + "floor_float": 33.54459403579399 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "73647944660565533223/9223372036854775808", + "floor_float": 7.984926160007736 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "175742684891343085541/2305843009213693952", + "floor_float": 76.21624030305185 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "171521198325280835215/9223372036854775808", + "floor_float": 18.596365585158654 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "973445909575713725023/18446744073709551616", + "floor_float": 52.770608497955834 + }, + "r=[129/512,65/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1915168190713027171575/18446744073709551616", + "floor_float": 103.82147565230984 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "134105747819504550591/4611686018427387904", + "floor_float": 29.079548625740006 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "127663503831712141481/18446744073709551616", + "floor_float": 6.920652410072691 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1218636495114750090137/18446744073709551616", + "floor_float": 66.06241677367665 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "74344031479135315983/4611686018427387904", + "floor_float": 16.12079208820185 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "843831851508296838779/18446744073709551616", + "floor_float": 45.74421633088805 + }, + "r=[129/512,65/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "829926728109105498103/9223372036854775808", + "floor_float": 89.98083616196787 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1049945239629070943023/18446744073709551616", + "floor_float": 56.917645489832616 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "62528980134468260139/4611686018427387904", + "floor_float": 13.558811221018688 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2386537203061578678829/18446744073709551616", + "floor_float": 129.37444101384216 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "582120899747088392331/18446744073709551616", + "floor_float": 31.556837207750487 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1651952426054292070281/18446744073709551616", + "floor_float": 89.55252045853815 + }, + "r=[129/512,65/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3252103486821670751381/18446744073709551616", + "floor_float": 176.29688327798698 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "710605518585817405995/18446744073709551616", + "floor_float": 38.52200235154659 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "84595667680195234053/9223372036854775808", + "floor_float": 9.171880668172944 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1614727047372007478975/18446744073709551616", + "floor_float": 87.53452863659173 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "393960405966478860651/18446744073709551616", + "floor_float": 21.356636401106382 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1117925498874036104505/18446744073709551616", + "floor_float": 60.602862727808564 + }, + "r=[129/512,65/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2199798831681525324829/18446744073709551616", + "floor_float": 119.25133361700921 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "925612377273296688763/18446744073709551616", + "floor_float": 50.177547515959034 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "220461746653916501377/18446744073709551616", + "floor_float": 11.951255233606258 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1051860644756146271459/9223372036854775808", + "floor_float": 114.04295961966172 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "256588235337959549311/9223372036854775808", + "floor_float": 27.81935221876376 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1456285416263613886033/18446744073709551616", + "floor_float": 78.94539060359837 + }, + "r=[129/512,65/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2866476032365132465715/18446744073709551616", + "floor_float": 155.3919770833953 + }, + "r=[129/512,65/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1186457118395298195991/18446744073709551616", + "floor_float": 64.31796926625368 + }, + "r=[129/512,65/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "8831160189500907371/576460752303423488", + "floor_float": 15.319620900839013 + }, + "r=[129/512,65/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2697129522820827620973/18446744073709551616", + "floor_float": 146.21168440585666 + }, + "r=[129/512,65/256],b=[7/8,1],k=[3/4,1]": { + "floor": "328903519177650325717/9223372036854775808", + "floor_float": 35.65979100305363 + }, + "r=[129/512,65/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1866811436150555419793/18446744073709551616", + "floor_float": 101.20005073476084 + }, + "r=[129/512,65/256],b=[7/8,1],k=[7/4,2]": { + "floor": "114864301850205181391/576460752303423488", + "floor_float": 199.25780097123712 + }, + "r=[13/32,209/512],b=[0,1/8],k=[1,5/4]": { + "floor": "179055531417264280939/9223372036854775808", + "floor_float": 19.413239615814444 + }, + "r=[13/32,209/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "40971660306070475277/9223372036854775808", + "floor_float": 4.442156311417972 + }, + "r=[13/32,209/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "406198613450926929569/9223372036854775808", + "floor_float": 44.04014191640946 + }, + "r=[13/32,209/512],b=[0,1/8],k=[3/4,1]": { + "floor": "196739772994828487735/18446744073709551616", + "floor_float": 10.665284464764902 + }, + "r=[13/32,209/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "282012811382840067475/9223372036854775808", + "floor_float": 30.575890277002 + }, + "r=[13/32,209/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1101205313419242181723/18446744073709551616", + "floor_float": 59.69645965808616 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "40141876515818385083/1152921504606846976", + "floor_float": 34.81752778087611 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "146873095760530529021/18446744073709551616", + "floor_float": 7.962006475161936 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1460455441094119982051/18446744073709551616", + "floor_float": 79.17144810262603 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "352542711260936566581/18446744073709551616", + "floor_float": 19.111378672151865 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "253159927417279849041/4611686018427387904", + "floor_float": 54.895308658417484 + }, + "r=[13/32,209/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1982462986575567130169/18446744073709551616", + "floor_float": 107.46953384586656 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "484002241816959041381/18446744073709551616", + "floor_float": 26.237814103290074 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "110724090600649537209/18446744073709551616", + "floor_float": 6.002364978785303 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1099252494899076820603/18446744073709551616", + "floor_float": 59.5905971539845 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "132889429978976066833/9223372036854775808", + "floor_float": 14.407900868356617 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "47667215449585370687/1152921504606846976", + "floor_float": 41.34471883742005 + }, + "r=[13/32,209/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "372790221373137068105/4611686018427387904", + "floor_float": 80.83599357882147 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "417253169479451840327/18446744073709551616", + "floor_float": 22.619339641304204 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "23866474736958998939/4611686018427387904", + "floor_float": 5.175216751876271 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "59193046407011171549/1152921504606846976", + "floor_float": 51.34178360841344 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "57295269537212607993/4611686018427387904", + "floor_float": 12.42393114107769 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "328664899318868216325/9223372036854775808", + "floor_float": 35.63391978612465 + }, + "r=[13/32,209/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1284277478023936293797/18446744073709551616", + "floor_float": 69.62082158738782 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "418791214241822799245/9223372036854775808", + "floor_float": 45.40543442988266 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "23929572828766275155/2305843009213693952", + "floor_float": 10.377797939039397 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1906839762045854160397/18446744073709551616", + "floor_float": 103.36999062959288 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "114889974050312330935/4611686018427387904", + "floor_float": 24.91279189243037 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "660690461373868338097/9223372036854775808", + "floor_float": 71.63220335619982 + }, + "r=[13/32,209/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "323768191363607793873/2305843009213693952", + "floor_float": 140.41207058325045 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "279379704436425996927/9223372036854775808", + "floor_float": 30.290408249833117 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "127806422774510629569/18446744073709551616", + "floor_float": 6.928400061486264 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "317446231941801328169/4611686018427387904", + "floor_float": 68.83517886372766 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "306763208318852635201/18446744073709551616", + "floor_float": 16.62966684489617 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "880705669445694981279/18446744073709551616", + "floor_float": 47.743150006666156 + }, + "r=[13/32,209/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1723062289925381804221/18446744073709551616", + "floor_float": 93.40739390324735 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "735015875363779595647/18446744073709551616", + "floor_float": 39.84529044403723 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "21005534542325006141/2305843009213693952", + "floor_float": 9.109698474003231 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1672378047758381969487/18446744073709551616", + "floor_float": 90.65979562983522 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "201686483815669712059/9223372036854775808", + "floor_float": 21.866892391391165 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1159241413143470395039/18446744073709551616", + "floor_float": 62.84260292826584 + }, + "r=[13/32,209/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2270897004028639884631/18446744073709551616", + "floor_float": 123.10557326293373 + }, + "r=[13/32,209/512],b=[7/8,1],k=[1,5/4]": { + "floor": "475317109709742444287/9223372036854775808", + "floor_float": 51.533984296683364 + }, + "r=[13/32,209/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "217205694327031545003/18446744073709551616", + "floor_float": 11.7747442832795 + }, + "r=[13/32,209/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2165517147434387568731/18446744073709551616", + "floor_float": 117.39291979014877 + }, + "r=[13/32,209/512],b=[7/8,1],k=[3/4,1]": { + "floor": "521473275608325097835/18446744073709551616", + "floor_float": 28.269122915383914 + }, + "r=[13/32,209/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "11720129403122433379/144115188075855872", + "floor_float": 81.32473446833012 + }, + "r=[13/32,209/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2942502820342002863893/18446744073709551616", + "floor_float": 159.51339751797616 + }, + "r=[13/64,105/512],b=[0,1/8],k=[1,5/4]": { + "floor": "122802833947066658903/4611686018427387904", + "floor_float": 26.628619870557266 + }, + "r=[13/64,105/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "59123165840285585061/9223372036854775808", + "floor_float": 6.410146484825839 + }, + "r=[13/64,105/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1113797107189416217105/18446744073709551616", + "floor_float": 60.379062166141765 + }, + "r=[13/64,105/512],b=[0,1/8],k=[3/4,1]": { + "floor": "34151504605676830833/2305843009213693952", + "floor_float": 14.810854194849412 + }, + "r=[13/64,105/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "771618391257879640571/18446744073709551616", + "floor_float": 41.829516806578155 + }, + "r=[13/64,105/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1517117199972022117471/18446744073709551616", + "floor_float": 82.24308820623959 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "858057616663798532191/18446744073709551616", + "floor_float": 46.515396605231224 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "206745955161820980397/18446744073709551616", + "floor_float": 11.20772068695185 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "973001152333050372339/9223372036854775808", + "floor_float": 105.49299631903925 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "119332104440095696935/4611686018427387904", + "floor_float": 25.876025376243774 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "168492694432574123597/2305843009213693952", + "floor_float": 73.07205814069324 + }, + "r=[13/64,105/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1325635762368390232853/9223372036854775808", + "floor_float": 143.72571734842865 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "327406127670710069227/9223372036854775808", + "floor_float": 35.497443490565026 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "157711305084589404011/18446744073709551616", + "floor_float": 8.549546979911801 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "371226348082079260229/4611686018427387904", + "floor_float": 80.49688261489008 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "364236881819885619163/18446744073709551616", + "floor_float": 19.745320928423297 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1028633452571924248363/18446744073709551616", + "floor_float": 55.76233119848727 + }, + "r=[13/64,105/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2022840098555902441781/18446744073709551616", + "floor_float": 109.65838147225507 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "71042523794124657517/2305843009213693952", + "floor_float": 30.80978345457724 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "17107217968285019099/2305843009213693952", + "floor_float": 7.41907315455907 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1288729281755260858727/18446744073709551616", + "floor_float": 69.86215435123688 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "316127590747929685941/18446744073709551616", + "floor_float": 17.137311033575692 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "892777341174928690667/18446744073709551616", + "floor_float": 48.3975566423845 + }, + "r=[13/64,105/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "54859112481544665939/576460752303423488", + "floor_float": 95.16539029298781 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "553130874093112365689/9223372036854775808", + "floor_float": 59.97056953605585 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "266572510224496552631/18446744073709551616", + "floor_float": 14.450924735515676 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "39206330736262321385/288230376151711744", + "floor_float": 136.02428467021062 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "615436821410413573321/18446744073709551616", + "floor_float": 33.36289694003719 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "217239081186768480937/2305843009213693952", + "floor_float": 94.21243350857971 + }, + "r=[13/64,105/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "427369685386091699397/2305843009213693952", + "floor_float": 185.34205654001886 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "187778121024321673311/4611686018427387904", + "floor_float": 40.71788935196311 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "90472067320679443385/9223372036854775808", + "floor_float": 9.809001193833547 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "425842686008831276509/4611686018427387904", + "floor_float": 92.33991306156747 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "417820863376411941451/18446744073709551616", + "floor_float": 22.650114389123747 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1179924584128304735709/18446744073709551616", + "floor_float": 63.96383987404817 + }, + "r=[13/64,105/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2320575607556664770043/18446744073709551616", + "floor_float": 125.79865575649026 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "976239615581055311139/18446744073709551616", + "floor_float": 52.922055603969696 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "117629731026264461663/9223372036854775808", + "floor_float": 12.753440992756147 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2214170693670391610457/18446744073709551616", + "floor_float": 120.03043381655874 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "543086500211280009419/18446744073709551616", + "floor_float": 29.440778168830956 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1533628502824179543277/18446744073709551616", + "floor_float": 83.13816772738335 + }, + "r=[13/64,105/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1508398281213555588829/9223372036854775808", + "floor_float": 163.54086934651377 + }, + "r=[13/64,105/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1248893364540436095453/18446744073709551616", + "floor_float": 67.7026449518736 + }, + "r=[13/64,105/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "75226020659847548139/4611686018427387904", + "floor_float": 16.31204300536923 + }, + "r=[13/64,105/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "177055900812030450679/1152921504606846976", + "floor_float": 153.57151384942512 + }, + "r=[13/64,105/512],b=[7/8,1],k=[3/4,1]": { + "floor": "694769619580416706469/18446744073709551616", + "floor_float": 37.66353654630076 + }, + "r=[13/64,105/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1962025232699025149769/18446744073709551616", + "floor_float": 106.36160098818303 + }, + "r=[13/64,105/512],b=[7/8,1],k=[7/4,2]": { + "floor": "241262695076862369401/1152921504606846976", + "floor_float": 209.2620305136336 + }, + "r=[131/512,33/128],b=[0,1/8],k=[1,5/4]": { + "floor": "460668897551309294401/18446744073709551616", + "floor_float": 24.97291097608159 + }, + "r=[131/512,33/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "109500083859470516021/18446744073709551616", + "floor_float": 5.936011440389143 + }, + "r=[131/512,33/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "65409210435737717303/1152921504606846976", + "floor_float": 56.73344644399069 + }, + "r=[131/512,33/128],b=[0,1/8],k=[3/4,1]": { + "floor": "127649491163794995817/9223372036854775808", + "floor_float": 13.839785563645574 + }, + "r=[131/512,33/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "724714393866916212679/18446744073709551616", + "floor_float": 39.286846013101304 + }, + "r=[131/512,33/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1425306781683118651071/18446744073709551616", + "floor_float": 77.266035457958 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "808861776385603658825/18446744073709551616", + "floor_float": 43.84848475988779 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "192437867716377985777/18446744073709551616", + "floor_float": 10.432077712328757 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1838426952949245370277/18446744073709551616", + "floor_float": 99.6613248171739 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "224160604966406300865/9223372036854775808", + "floor_float": 24.303541489024266 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1272683117614825908229/18446744073709551616", + "floor_float": 68.99229005018096 + }, + "r=[131/512,33/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2504746506771526172995/18446744073709551616", + "floor_float": 135.78258020835835 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "76968726138796836501/2305843009213693952", + "floor_float": 33.379864037250144 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "73215414617449748699/9223372036854775808", + "floor_float": 7.938031158766598 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1399211210382530225023/18446744073709551616", + "floor_float": 75.85139170314058 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "170633579104132688009/9223372036854775808", + "floor_float": 18.500129716367784 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "968763965159536447403/18446744073709551616", + "floor_float": 52.51679978258205 + }, + "r=[131/512,33/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "952976573721780861549/9223372036854775808", + "floor_float": 103.32192715569472 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "533729851911072035791/18446744073709551616", + "floor_float": 28.933553248117544 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "126900971838784843125/18446744073709551616", + "floor_float": 6.8793154679066175 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "303165251754406527283/4611686018427387904", + "floor_float": 65.73848491484848 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "295805150480256044603/18446744073709551616", + "floor_float": 16.03562933915476 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "839680413674229123399/18446744073709551616", + "floor_float": 45.51916643495631 + }, + "r=[131/512,33/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1651669112397191719819/18446744073709551616", + "floor_float": 89.537161994412 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "522593990878052768301/9223372036854775808", + "floor_float": 56.65975402378547 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "248740790356656046331/18446744073709551616", + "floor_float": 13.484265264522396 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2376070329057503012175/18446744073709551616", + "floor_float": 128.8070306371246 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "579324764260687406021/18446744073709551616", + "floor_float": 31.4052583993045 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1644649451178022131287/18446744073709551616", + "floor_float": 89.15662539721521 + }, + "r=[131/512,33/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1618906476721344509347/9223372036854775808", + "floor_float": 175.52219191121355 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "707186699293662416391/18446744073709551616", + "floor_float": 38.336667786352095 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "10513409176461477549/1152921504606846976", + "floor_float": 9.118928855478858 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1607169636868002359241/18446744073709551616", + "floor_float": 87.12484059225137 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "391958389972811956137/18446744073709551616", + "floor_float": 21.248106896622165 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "556333408075192551383/9223372036854775808", + "floor_float": 60.31778896613884 + }, + "r=[131/512,33/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2189450624629971537251/18446744073709551616", + "floor_float": 118.690356188678 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "460667545842682720917/9223372036854775808", + "floor_float": 49.94567539962023 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "219231254203672941793/18446744073709551616", + "floor_float": 11.884550104217205 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "523574075034770230567/4611686018427387904", + "floor_float": 113.53202992195727 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "510666098173975322825/18446744073709551616", + "floor_float": 27.683264652745997 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "181214286827394177755/2305843009213693952", + "floor_float": 78.58916938546884 + }, + "r=[131/512,33/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1426800109937824356211/9223372036854775808", + "floor_float": 154.69397788971457 + }, + "r=[131/512,33/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1181178738275042932347/18446744073709551616", + "floor_float": 64.03182770657443 + }, + "r=[131/512,33/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "140536966610567306003/9223372036854775808", + "floor_float": 15.237048451369986 + }, + "r=[131/512,33/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2685547085906526416689/18446744073709551616", + "floor_float": 145.5837992425986 + }, + "r=[131/512,33/128],b=[7/8,1],k=[3/4,1]": { + "floor": "163674926780034893327/4611686018427387904", + "floor_float": 35.49134223926394 + }, + "r=[131/512,33/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "929362653627190094797/9223372036854775808", + "floor_float": 100.76170080894929 + }, + "r=[131/512,33/128],b=[7/8,1],k=[7/4,2]": { + "floor": "1829924084022500807473/9223372036854775808", + "floor_float": 198.40076673807422 + }, + "r=[133/512,67/256],b=[0,1/8],k=[1,5/4]": { + "floor": "114568525332293280129/4611686018427387904", + "floor_float": 24.843088812746586 + }, + "r=[133/512,67/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "108826343479771408499/18446744073709551616", + "floor_float": 5.899487901221094 + }, + "r=[133/512,67/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1041220124117715532403/18446744073709551616", + "floor_float": 56.44465603020269 + }, + "r=[133/512,67/256],b=[0,1/8],k=[3/4,1]": { + "floor": "253905253357355495981/18446744073709551616", + "floor_float": 13.764231364776363 + }, + "r=[133/512,67/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "721019466004753471851/18446744073709551616", + "floor_float": 39.0865435723346 + }, + "r=[133/512,67/256],b=[0,1/8],k=[7/4,2]": { + "floor": "11078136454475283947/144115188075855872", + "floor_float": 76.87001351061099 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "804999393583814976765/18446744073709551616", + "floor_float": 43.63910456865429 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "191333880307808941081/18446744073709551616", + "floor_float": 10.372230434990396 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "457474305180527551623/4611686018427387904", + "floor_float": 99.19892710660493 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "446060346595769254253/18446744073709551616", + "floor_float": 24.180979841938505 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "158343427682054303381/2305843009213693952", + "floor_float": 68.67051531667386 + }, + "r=[133/512,67/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2493075155946338094185/18446744073709551616", + "floor_float": 135.14987501233287 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "306343738800127281225/9223372036854775808", + "floor_float": 33.21385471344299 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "72781037943255433987/9223372036854775808", + "floor_float": 7.890935945382747 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1392424813057790317677/18446744073709551616", + "floor_float": 75.48350036699894 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "339479794791353719479/18446744073709551616", + "floor_float": 18.403236551385948 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "30126434804934914019/576460752303423488", + "floor_float": 52.26103370360536 + }, + "r=[133/512,67/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1896647673303882557037/18446744073709551616", + "floor_float": 102.81747639178234 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "531018269068594924027/18446744073709551616", + "floor_float": 28.786558047683137 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "126134354785141069229/18446744073709551616", + "floor_float": 6.837757074155366 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "603314554328310623359/9223372036854775808", + "floor_float": 65.41149504948783 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "294224302840303963559/18446744073709551616", + "floor_float": 15.949931416874527 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "835494525288846679579/18446744073709551616", + "floor_float": 45.29224897089564 + }, + "r=[133/512,67/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "410852593637216289881/4611686018427387904", + "floor_float": 89.08945491855481 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "260098401179836656005/4611686018427387904", + "floor_float": 56.399850323837036 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "247358837951113888111/18446744073709551616", + "floor_float": 13.409349474504376 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2365509786773374605187/18446744073709551616", + "floor_float": 128.23454249277074 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "576509297476936248921/18446744073709551616", + "floor_float": 31.252631639129312 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "818643311589438232103/9223372036854775808", + "floor_float": 88.75748569159967 + }, + "r=[133/512,67/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3223381257371766349171/18446744073709551616", + "floor_float": 174.7398480995763 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "351871744768622294839/9223372036854775808", + "floor_float": 38.15001101144052 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "20904057501000449739/2305843009213693952", + "floor_float": 9.065689822538637 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1599544268638190482491/18446744073709551616", + "floor_float": 86.71146855221318 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "389944721558638213961/18446744073709551616", + "floor_float": 21.138945713156534 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1107361481665095825563/18446744073709551616", + "floor_float": 60.0301862074032 + }, + "r=[133/512,67/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1089507257276440903617/9223372036854775808", + "floor_float": 118.12461352778406 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "917025582587673650447/18446744073709551616", + "floor_float": 49.71205644331706 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "108996998942777909427/9223372036854775808", + "floor_float": 11.817478304816005 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "521196111578831656221/4611686018427387904", + "floor_float": 113.01639129295333 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "508139125659418182747/18446744073709551616", + "floor_float": 27.546277198241295 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "721543376315506397639/9223372036854775808", + "floor_float": 78.22988961437979 + }, + "r=[133/512,67/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2840604761487634357683/18446744073709551616", + "floor_float": 153.98949267887807 + }, + "r=[133/512,67/256],b=[7/8,1],k=[1,5/4]": { + "floor": "293965189432801642013/4611686018427387904", + "floor_float": 63.74353940363128 + }, + "r=[133/512,67/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "279542478274257516521/18446744073709551616", + "floor_float": 15.154028112346596 + }, + "r=[133/512,67/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2673859488174038939175/18446744073709551616", + "floor_float": 144.9502132999636 + }, + "r=[133/512,67/256],b=[7/8,1],k=[3/4,1]": { + "floor": "651573256680746498725/18446744073709551616", + "floor_float": 35.32185702133603 + }, + "r=[133/512,67/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1850567659527898278761/18446744073709551616", + "floor_float": 100.31947383957814 + }, + "r=[133/512,67/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3643894090556771627689/18446744073709551616", + "floor_float": 197.53589446443715 + }, + "r=[135/512,17/64],b=[0,1/8],k=[1,5/4]": { + "floor": "14245723642415831905/576460752303423488", + "floor_float": 24.71239123477657 + }, + "r=[135/512,17/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "108149182415249954425/18446744073709551616", + "floor_float": 5.862778926357255 + }, + "r=[135/512,17/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1035842358908059923591/18446744073709551616", + "floor_float": 56.15312679403141 + }, + "r=[135/512,17/64],b=[0,1/8],k=[3/4,1]": { + "floor": "252502374969723896529/18446744073709551616", + "floor_float": 13.688181174996206 + }, + "r=[135/512,17/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "179323452670456617125/4611686018427387904", + "floor_float": 38.88457539258212 + }, + "r=[135/512,17/64],b=[0,1/8],k=[7/4,2]": { + "floor": "1410633013470262435173/18446744073709551616", + "floor_float": 76.47056888921162 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "801112024187331234737/18446744073709551616", + "floor_float": 43.42836985140823 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "95111988173097347697/9223372036854775808", + "floor_float": 10.312062420668775 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "455322250466474002953/4611686018427387904", + "floor_float": 98.73227462734802 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "221892066032413411355/9223372036854775808", + "floor_float": 24.057586004963962 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1260759860357422264463/18446744073709551616", + "floor_float": 68.34592897910193 + }, + "r=[135/512,17/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "310162547186781318727/2305843009213693952", + "floor_float": 134.51156299341844 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "38100292524106316415/1152921504606846976", + "floor_float": 33.046735941575434 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "144688819831291550219/18446744073709551616", + "floor_float": 7.843596639772501 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1385576557848333228771/18446744073709551616", + "floor_float": 75.1122557082075 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "337681782528316666883/18446744073709551616", + "floor_float": 18.30576611129893 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "959289008446721351315/18446744073709551616", + "floor_float": 52.003161349970036 + }, + "r=[135/512,17/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1887255891142583946523/18446744073709551616", + "floor_float": 102.30834686064281 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "528285926421687657309/18446744073709551616", + "floor_float": 28.638437455995554 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "31341093017790534893/4611686018427387904", + "floor_float": 6.796016227591754 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1200546953732552067581/18446744073709551616", + "floor_float": 65.08178077038437 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "146316738078091191223/9223372036854775808", + "floor_float": 15.8636925295259 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "831274129007205456425/18446744073709551616", + "floor_float": 45.06346083003038 + }, + "r=[135/512,17/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1635069800952902884137/18446744073709551616", + "floor_float": 88.63731151792894 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "16180680936708374911/288230376151711744", + "floor_float": 56.13801415639682 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "245969602984602149115/18446744073709551616", + "floor_float": 13.334038896065133 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "588713111340483341725/4611686018427387904", + "floor_float": 127.65680685721054 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "143418991120397177693/4611686018427387904", + "floor_float": 31.099036349682777 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "814930823747057694863/9223372036854775808", + "floor_float": 88.35497695319617 + }, + "r=[135/512,17/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1604405030432906490291/9223372036854775808", + "floor_float": 173.9499419542029 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "43767095035188196171/1152921504606846976", + "floor_float": 37.961903616424465 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "166246224023700264873/18446744073709551616", + "floor_float": 9.012225862700385 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1591856368946440386275/18446744073709551616", + "floor_float": 86.29470667483086 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "387918161373441862643/18446744073709551616", + "floor_float": 21.02908566538341 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "551008275573663162141/9223372036854775808", + "floor_float": 59.74043694344571 + }, + "r=[135/512,17/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1084238522689874981321/9223372036854775808", + "floor_float": 117.55337617928363 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "456341227604069301215/9223372036854775808", + "floor_float": 49.4766150363034 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "216750388598740093609/18446744073709551616", + "floor_float": 11.750062110291566 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1037595817907662669057/9223372036854775808", + "floor_float": 112.49636399373617 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "252797621359008583595/9223372036854775808", + "floor_float": 27.408373027660506 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1436402676909619314325/18446744073709551616", + "floor_float": 77.86754514347017 + }, + "r=[135/512,17/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "353434928621604503571/2305843009213693952", + "floor_float": 153.27796697752112 + }, + "r=[135/512,17/64],b=[7/8,1],k=[1,5/4]": { + "floor": "585251163041069106187/9223372036854775808", + "floor_float": 63.45305824187953 + }, + "r=[135/512,17/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "69500952174339084769/4611686018427387904", + "floor_float": 15.070616667445917 + }, + "r=[135/512,17/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2662068025304288780513/18446744073709551616", + "floor_float": 144.31099681695534 + }, + "r=[135/512,17/64],b=[7/8,1],k=[3/4,1]": { + "floor": "162106403194263869039/4611686018427387904", + "floor_float": 35.1512229034064 + }, + "r=[135/512,17/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1842346089724437994595/18446744073709551616", + "floor_float": 99.8737816474705 + }, + "r=[135/512,17/64],b=[7/8,1],k=[7/4,2]": { + "floor": "3627783921628033482115/18446744073709551616", + "floor_float": 196.66256045685483 + }, + "r=[137/512,69/256],b=[0,1/8],k=[1,5/4]": { + "floor": "113358750276677870479/4611686018427387904", + "floor_float": 24.580760664043186 + }, + "r=[137/512,69/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "13433580783848029283/2305843009213693952", + "floor_float": 5.825886988043024 + }, + "r=[137/512,69/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1030425551632970367633/18446744073709551616", + "floor_float": 55.85948108325204 + }, + "r=[137/512,69/256],b=[0,1/8],k=[3/4,1]": { + "floor": "125545363943338488187/9223372036854775808", + "floor_float": 13.61165563328509 + }, + "r=[137/512,69/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "356767988604237235591/9223372036854775808", + "floor_float": 38.68086283179977 + }, + "r=[137/512,69/256],b=[0,1/8],k=[7/4,2]": { + "floor": "701600304816904521821/9223372036854775808", + "floor_float": 76.067657469898 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "797194278123116064657/18446744073709551616", + "floor_float": 43.21598841170479 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "189108217789411924021/18446744073709551616", + "floor_float": 10.251577028107116 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1812614405701064571103/18446744073709551616", + "floor_float": 98.26202382698078 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "220747609281623892413/9223372036854775808", + "floor_float": 23.93350375541179 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1254723897978420044363/18446744073709551616", + "floor_float": 68.01871880288417 + }, + "r=[137/512,69/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1234705290492656502999/9223372036854775808", + "floor_float": 133.8670158331484 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "303249715966782357455/9223372036854775808", + "floor_float": 32.87840008567976 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "71905989742211918763/9223372036854775808", + "floor_float": 7.796063029322656 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "689330987571575486989/9223372036854775808", + "floor_float": 74.73741542866804 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "5248012674072164197/288230376151711744", + "floor_float": 18.207701575873607 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "954494322849064296769/18446744073709551616", + "floor_float": 51.7432409229018 + }, + "r=[137/512,69/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1877772533310201586447/18446744073709551616", + "floor_float": 101.79425300242649 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "525533100479049366703/18446744073709551616", + "floor_float": 28.48920646262141 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "15573827062102745443/2305843009213693952", + "floor_float": 6.754070853858135 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "149301219953841937041/2305843009213693952", + "floor_float": 64.74908281147663 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "291032662409432005531/18446744073709551616", + "floor_float": 15.77691224242733 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "827018528787987989073/18446744073709551616", + "floor_float": 44.83276427988511 + }, + "r=[137/512,69/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "813323230592904741083/9223372036854775808", + "floor_float": 88.18068135417562 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "128837026896569418547/2305843009213693952", + "floor_float": 55.87415378313357 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "122286715335610379487/9223372036854775808", + "floor_float": 13.258352243298523 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2344097457334218563985/18446744073709551616", + "floor_float": 127.07377778797535 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "285412018454828787627/9223372036854775808", + "floor_float": 30.944433046219824 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1622374798314397384895/18446744073709551616", + "floor_float": 87.9491140459101 + }, + "r=[137/512,69/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "199631482749820824649/1152921504606846976", + "floor_float": 173.1527098350866 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "696781791798438100981/18446744073709551616", + "floor_float": 37.77261662081045 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "165254994484920379961/18446744073709551616", + "floor_float": 8.958491201731537 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1584102545730761047409/18446744073709551616", + "floor_float": 85.87437107605547 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "385879303013538848333/18446744073709551616", + "floor_float": 20.918558932223554 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1096629088821652369119/18446744073709551616", + "floor_float": 59.448382025561735 + }, + "r=[137/512,69/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2157844652001894646517/18446744073709551616", + "floor_float": 116.97699297933407 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "908305732453544962133/18446744073709551616", + "floor_float": 49.23935242035854 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "107750157997559852245/9223372036854775808", + "floor_float": 11.682295538661075 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1032754754234141558563/9223372036854775808", + "floor_float": 111.97149481853894 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "62879301861907077635/2305843009213693952", + "floor_float": 27.26955027322059 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1429667456477421453767/18446744073709551616", + "floor_float": 77.50242811223228 + }, + "r=[137/512,69/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1407116561860568462159/9223372036854775808", + "floor_float": 152.5598833309562 + }, + "r=[137/512,69/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1165104946894203146933/18446744073709551616", + "floor_float": 63.160465729815165 + }, + "r=[137/512,69/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "138228545615470780211/9223372036854775808", + "floor_float": 14.986768945580506 + }, + "r=[137/512,69/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1325086336589512170423/9223372036854775808", + "floor_float": 143.66614848612073 + }, + "r=[137/512,69/256],b=[7/8,1],k=[3/4,1]": { + "floor": "80657320318903471553/2305843009213693952", + "floor_float": 34.979536766645744 + }, + "r=[137/512,69/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1834056230393844467013/18446744073709551616", + "floor_float": 99.42438747267906 + }, + "r=[137/512,69/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1805760171652600111503/9223372036854775808", + "floor_float": 195.78091010935464 + }, + "r=[139/512,35/128],b=[0,1/8],k=[1,5/4]": { + "floor": "225494136423814247393/9223372036854775808", + "floor_float": 24.44812325934421 + }, + "r=[139/512,35/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "13348089045619585157/2305843009213693952", + "floor_float": 5.788810856716287 + }, + "r=[139/512,35/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "512481977412596866655/9223372036854775808", + "floor_float": 55.56340732704047 + }, + "r=[139/512,35/128],b=[0,1/8],k=[3/4,1]": { + "floor": "62417802919111459679/4611686018427387904", + "floor_float": 13.53470350533454 + }, + "r=[139/512,35/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "354876030933153759325/9223372036854775808", + "floor_float": 38.475736370075836 + }, + "r=[139/512,35/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1395709249366319933019/18446744073709551616", + "floor_float": 75.66155001605384 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "793250932893860917079/18446744073709551616", + "floor_float": 43.00221923848385 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "187987672242341899973/18446744073709551616", + "floor_float": 10.190832132282003 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "901933507532414945011/9223372036854775808", + "floor_float": 97.78782683041153 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "54898879063254050031/2305843009213693952", + "floor_float": 23.808593578959606 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1248642723791414102577/18446744073709551616", + "floor_float": 67.68905768964345 + }, + "r=[139/512,35/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "76794343583071570355/576460752303423488", + "floor_float": 133.21695063578312 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "603371572836469948173/18446744073709551616", + "floor_float": 32.708838504264826 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "71465562088008782543/9223372036854775808", + "floor_float": 7.748311767371683 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1371683715335637921555/18446744073709551616", + "floor_float": 74.35912320649435 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "334052979512857273461/18446744073709551616", + "floor_float": 18.109048305654778 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "949660038646801529455/18446744073709551616", + "floor_float": 51.481173851176514 + }, + "r=[139/512,35/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1868200340614460361817/18446744073709551616", + "floor_float": 101.27534339661787 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "522759359724983922991/18446744073709551616", + "floor_float": 28.338841675047945 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "3869159644435763307/576460752303423488", + "floor_float": 6.711922067504794 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1188215727040100243803/18446744073709551616", + "floor_float": 64.413303631916 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "72355369892992846257/4611686018427387904", + "floor_float": 15.68956984579502 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "822729978954545314071/18446744073709551616", + "floor_float": 44.60028152757357 + }, + "r=[139/512,35/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "809078188414695211793/9223372036854775808", + "floor_float": 87.72043295898489 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "512895630384652250891/9223372036854775808", + "floor_float": 55.608255672136224 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "121585109330441796547/9223372036854775808", + "floor_float": 13.182283967795257 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2333247253085081282935/18446744073709551616", + "floor_float": 126.48558703703404 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "567953535676407745709/18446744073709551616", + "floor_float": 30.788822862559236 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1614824830187357261311/18446744073709551616", + "floor_float": 87.53982945363343 + }, + "r=[139/512,35/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3179253374324842027807/18446744073709551616", + "floor_float": 172.34767076624323 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "693265608993905418917/18446744073709551616", + "floor_float": 37.58200396903393 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "82129819673546703251/9223372036854775808", + "floor_float": 8.904532891590206 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1576282026960725364667/18446744073709551616", + "floor_float": 85.45041990403365 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "47978612495956959905/2305843009213693952", + "floor_float": 20.807406360382682 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1091200929754998805621/18446744073709551616", + "floor_float": 59.1541209329286 + }, + "r=[139/512,35/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "268389104027085144007/2305843009213693952", + "floor_float": 116.3952198630415 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "903898169849283315091/18446744073709551616", + "floor_float": 49.000417972813224 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "107121891236072485961/9223372036854775808", + "floor_float": 11.614178719890571 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1027873828165281112751/9223372036854775808", + "floor_float": 111.44230375377899 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "500456513497618276067/18446744073709551616", + "floor_float": 27.129801958431944 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1422874683924335486019/18446744073709551616", + "floor_float": 77.1341911742695 + }, + "r=[139/512,35/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2800870346794977649557/18446744073709551616", + "floor_float": 151.83548574226714 + }, + "r=[139/512,35/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1159668464637724478755/18446744073709551616", + "floor_float": 62.86575343615751 + }, + "r=[139/512,35/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "137451552369769477741/9223372036854775808", + "floor_float": 14.902527169080916 + }, + "r=[139/512,35/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1319085185564745451729/9223372036854775808", + "floor_float": 143.01550238827417 + }, + "r=[139/512,35/128],b=[7/8,1],k=[3/4,1]": { + "floor": "642071420858473617757/18446744073709551616", + "floor_float": 34.80676146928059 + }, + "r=[139/512,35/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1825698625940186200127/18446744073709551616", + "floor_float": 98.97132082740751 + }, + "r=[139/512,35/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3595100199444764807701/18446744073709551616", + "floor_float": 194.8907723270542 + }, + "r=[141/512,71/256],b=[0,1/8],k=[1,5/4]": { + "floor": "56066142398315259885/2305843009213693952", + "floor_float": 24.31481335645402 + }, + "r=[141/512,71/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "53049000919671557351/9223372036854775808", + "floor_float": 5.751584204529342 + }, + "r=[141/512,71/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1019466021250376183547/18446744073709551616", + "floor_float": 55.26536375074056 + }, + "r=[141/512,71/256],b=[0,1/8],k=[3/4,1]": { + "floor": "1939397089636660111/144115188075855872", + "floor_float": 13.457270642535242 + }, + "r=[141/512,71/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "352970564036276995787/9223372036854775808", + "floor_float": 38.269145235156536 + }, + "r=[141/512,71/256],b=[0,1/8],k=[7/4,2]": { + "floor": "694078707916217348737/9223372036854775808", + "floor_float": 75.25216429986948 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "394640913867850881321/9223372036854775808", + "floor_float": 42.78705361671888 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "186861672835175147737/18446744073709551616", + "floor_float": 10.129791582108624 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "897524352067773537973/9223372036854775808", + "floor_float": 97.30978523705248 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "436874961742182074287/18446744073709551616", + "floor_float": 23.683039131269773 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "155314878085879358105/2305843009213693952", + "floor_float": 67.35709129601267 + }, + "r=[141/512,71/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2445319905282555314321/18446744073709551616", + "floor_float": 132.56105768646972 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "600220446444089318241/18446744073709551616", + "floor_float": 32.53801560024505 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "142046312164566197621/18446744073709551616", + "floor_float": 7.700346012118841 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1364641791012231185213/18446744073709551616", + "floor_float": 73.97737972399854 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "83055419234030158321/4611686018427387904", + "floor_float": 18.00977319404597 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "944785193861612052613/18446744073709551616", + "floor_float": 51.21690798584491 + }, + "r=[141/512,71/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "929267336539287747437/9223372036854775808", + "floor_float": 100.75136650957141 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "259982740657448665195/9223372036854775808", + "floor_float": 28.187385222954134 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "123031790817439088253/18446744073709551616", + "floor_float": 6.66956674445248 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "295494013185156718695/4611686018427387904", + "floor_float": 64.07505021036144 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "287799834547604966897/18446744073709551616", + "floor_float": 15.601660292874103 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "818405205028244735095/18446744073709551616", + "floor_float": 44.36583506325338 + }, + "r=[141/512,71/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1609593235143790847129/18446744073709551616", + "floor_float": 87.25622411804348 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1020849041684509560241/18446744073709551616", + "floor_float": 55.34033743870453 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "120879904820238414895/9223372036854775808", + "floor_float": 13.10582554159435 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1161150545682385730731/9223372036854775808", + "floor_float": 125.89219442115716 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "565064221170908879169/18446744073709551616", + "floor_float": 30.632192809366448 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1607211406623236638243/18446744073709551616", + "floor_float": 87.12710493521983 + }, + "r=[141/512,71/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3164269119517782698483/18446744073709551616", + "floor_float": 171.53537268549871 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "689725134002829491359/18446744073709551616", + "floor_float": 37.39007443518617 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "163260180936345535049/18446744073709551616", + "floor_float": 8.850352142578119 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1568392575515838420461/18446744073709551616", + "floor_float": 85.02273188422038 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "47720885341314154231/2305843009213693952", + "floor_float": 20.695635023993788 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "542864747625692175781/9223372036854775808", + "floor_float": 58.85751387415706 + }, + "r=[141/512,71/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1068138879311341914073/9223372036854775808", + "floor_float": 115.8078493465589 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "899458029189974314085/18446744073709551616", + "floor_float": 48.75971746536502 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "212980767124390646299/18446744073709551616", + "floor_float": 11.545710520694682 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2045907414164413135423/18446744073709551616", + "floor_float": 110.90886315706287 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "497862279803877482749/18446744073709551616", + "floor_float": 26.9891682680975 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "708016297308915968899/9223372036854775808", + "floor_float": 76.76328076974696 + }, + "r=[141/512,71/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1393698558350496430577/9223372036854775808", + "floor_float": 151.10510047535237 + }, + "r=[141/512,71/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1154191503611378929955/18446744073709551616", + "floor_float": 62.5688467839884 + }, + "r=[141/512,71/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "273341688768728599677/18446744073709551616", + "floor_float": 14.817882639695608 + }, + "r=[141/512,71/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "656514939779583678805/4611686018427387904", + "floor_float": 142.35898479564295 + }, + "r=[141/512,71/256],b=[7/8,1],k=[3/4,1]": { + "floor": "638864135763048710299/18446744073709551616", + "floor_float": 34.63289419586858 + }, + "r=[141/512,71/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "908635892124834511469/9223372036854775808", + "floor_float": 98.514500824005 + }, + "r=[141/512,71/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3578521695190314462989/18446744073709551616", + "floor_float": 193.99204981059245 + }, + "r=[143/512,9/32],b=[0,1/8],k=[1,5/4]": { + "floor": "223028114704445690797/9223372036854775808", + "floor_float": 24.18075664879063 + }, + "r=[143/512,9/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "105408252769201178175/18446744073709551616", + "floor_float": 5.714192832513455 + }, + "r=[143/512,9/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "506963785328625773857/9223372036854775808", + "floor_float": 54.9651237424771 + }, + "r=[143/512,9/32],b=[0,1/8],k=[3/4,1]": { + "floor": "246808662620985101711/18446744073709551616", + "floor_float": 13.379524410095698 + }, + "r=[143/512,9/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "702107073221608214479/18446744073709551616", + "floor_float": 38.06130070521534 + }, + "r=[143/512,9/32],b=[0,1/8],k=[7/4,2]": { + "floor": "172567750248486433111/2305843009213693952", + "floor_float": 74.83933188813798 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "392643853273880137647/9223372036854775808", + "floor_float": 42.57053187326205 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "185731549353413552351/18446744073709551616", + "floor_float": 10.068527465403482 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1786155847426916387633/18446744073709551616", + "floor_float": 96.8277025088975 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "434546601089527754571/18446744073709551616", + "floor_float": 23.556818447372894 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "154543623883960995243/2305843009213693952", + "floor_float": 67.02261310350929 + }, + "r=[143/512,9/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2433107203629714833349/18446744073709551616", + "floor_float": 131.89900580327338 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "597045728254083575689/18446744073709551616", + "floor_float": 32.36591378231338 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "8822327550359137105/1152921504606846976", + "floor_float": 7.652149357182476 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "339384525785791213059/4611686018427387904", + "floor_float": 73.5922880329835 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "165189332853148965541/9223372036854775808", + "floor_float": 17.909863355081523 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "939869716432839013591/18446744073709551616", + "floor_float": 50.95043942049095 + }, + "r=[143/512,9/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "924390619094928849963/9223372036854775808", + "floor_float": 100.22263174479423 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "517152066396828575475/18446744073709551616", + "floor_float": 28.03486969464047 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "122246710086633817287/18446744073709551616", + "floor_float": 6.627007432756701 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1175690700961106439269/18446744073709551616", + "floor_float": 63.73432060765186 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "286167808614699861277/18446744073709551616", + "floor_float": 15.513187989773682 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "203512928714766571487/4611686018427387904", + "floor_float": 44.129831888287505 + }, + "r=[143/512,9/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1600971422196162555625/18446744073709551616", + "floor_float": 86.78883470161436 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "507934845663245330893/9223372036854775808", + "floor_float": 55.070406314917996 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "240342223255531098295/18446744073709551616", + "floor_float": 13.028978029682147 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2311263270895058723335/18446744073709551616", + "floor_float": 125.29383297451878 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "562156108353150572389/18446744073709551616", + "floor_float": 30.474543697624124 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1599538005937962804999/18446744073709551616", + "floor_float": 86.71112905055355 + }, + "r=[143/512,9/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3149159395247852576247/18446744073709551616", + "floor_float": 170.71627289154296 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "686159089668881149879/18446744073709551616", + "floor_float": 37.19675878448385 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "40564119527747471149/4611686018427387904", + "floor_float": 8.795941303389096 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "780216128222819318531/9223372036854775808", + "floor_float": 84.59120212274095 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "379692882842676795339/18446744073709551616", + "floor_float": 20.583192422765716 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1080211925230871704023/18446744073709551616", + "floor_float": 58.558405804003016 + }, + "r=[143/512,9/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2125338361475240440003/18446744073709551616", + "floor_float": 115.2148234389119 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "447494982556926271207/9223372036854775808", + "floor_float": 48.51750322645824 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "105855684802088167945/9223372036854775808", + "floor_float": 11.47689634323648 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2035994512093618807799/18446744073709551616", + "floor_float": 110.37148365902331 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "495252516105583127047/18446744073709551616", + "floor_float": 26.847692694529275 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "704571337147673645653/9223372036854775808", + "floor_float": 76.38977744065245 + }, + "r=[143/512,9/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1386902774704610654125/9223372036854775808", + "floor_float": 150.3683001360913 + }, + "r=[143/512,9/32],b=[7/8,1],k=[1,5/4]": { + "floor": "1148673525133968011323/18446744073709551616", + "floor_float": 62.26971657134154 + }, + "r=[143/512,9/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "16985785480573190567/1152921504606846976", + "floor_float": 14.732820415528153 + }, + "r=[143/512,9/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1306920221700339212413/9223372036854775808", + "floor_float": 141.6965743632745 + }, + "r=[143/512,9/32],b=[7/8,1],k=[3/4,1]": { + "floor": "317818106385063885491/9223372036854775808", + "floor_float": 34.45790813979154 + }, + "r=[143/512,9/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "452193760100319659531/4611686018427387904", + "floor_float": 98.05389141703112 + }, + "r=[143/512,9/32],b=[7/8,1],k=[7/4,2]": { + "floor": "1780892503477246474695/9223372036854775808", + "floor_float": 193.08475212331794 + }, + "r=[145/512,73/256],b=[0,1/8],k=[1,5/4]": { + "floor": "110892740486145246689/4611686018427387904", + "floor_float": 24.046030029589986 + }, + "r=[145/512,73/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "52358414695256851135/9223372036854775808", + "floor_float": 5.676710696049444 + }, + "r=[145/512,73/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "504171420087608204921/9223372036854775808", + "floor_float": 54.66237489640867 + }, + "r=[145/512,73/256],b=[0,1/8],k=[3/4,1]": { + "floor": "245369470965110243503/18446744073709551616", + "floor_float": 13.301505674099571 + }, + "r=[145/512,73/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "698246913817401973875/18446744073709551616", + "floor_float": 37.8520410446063 + }, + "r=[145/512,73/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1372855521606818704799/18446744073709551616", + "floor_float": 74.42264695174165 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "781266182875912578721/18446744073709551616", + "floor_float": 42.35252463817609 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "46149324121323741391/4611686018427387904", + "floor_float": 10.007039494215379 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "888592170883999953193/9223372036854775808", + "floor_float": 96.34135621260434 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "432205708826892866373/18446744073709551616", + "floor_float": 23.429918423537732 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "615064731804579434637/9223372036854775808", + "floor_float": 66.68545184417391 + }, + "r=[145/512,73/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2420778542126416785171/18446744073709551616", + "floor_float": 131.23066772398766 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "296923779012162229801/9223372036854775808", + "floor_float": 32.19254062675921 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "70132014080239447987/9223372036854775808", + "floor_float": 7.603728202657959 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "337593029525005452235/4611686018427387904", + "floor_float": 73.2038192053948 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "328523992351595430155/18446744073709551616", + "floor_float": 17.80932131106055 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "233728458492562201923/4611686018427387904", + "floor_float": 50.6817804938648 + }, + "r=[145/512,73/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "919477101096343399325/9223372036854775808", + "floor_float": 99.68990705593293 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "128580401063010188943/4611686018427387904", + "floor_float": 27.881430034314622 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "60728960352850900951/9223372036854775808", + "floor_float": 6.5842470747347015 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "73085559290667541151/1152921504606846976", + "floor_float": 63.39161772820791 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "142262989612194419513/9223372036854775808", + "floor_float": 15.424184240182393 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "809674103939181296201/18446744073709551616", + "floor_float": 43.892521124805725 + }, + "r=[145/512,73/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "796143290920161938723/9223372036854775808", + "floor_float": 86.31802856253985 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "252713370748010482653/4611686018427387904", + "floor_float": 54.79847711622554 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "59729389004487120921/4611686018427387904", + "floor_float": 12.951746663979348 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2300144847592563580367/18446744073709551616", + "floor_float": 124.69110203955985 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "279614689376386661047/9223372036854775808", + "floor_float": 30.31588536807379 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1591805896240732672973/18446744073709551616", + "floor_float": 86.29197054397189 + }, + "r=[145/512,73/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "195871068628257915457/1152921504606846976", + "floor_float": 169.89107050705167 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "682566705186181405237/18446744073709551616", + "floor_float": 37.00201523145653 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "40312032057853351755/4611686018427387904", + "floor_float": 8.741278546885981 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "388099590658896070041/4611686018427387904", + "floor_float": 84.15568386662203 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "47200713452561482409/2305843009213693952", + "floor_float": 20.470046427253173 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1074649014530070130637/18446744073709551616", + "floor_float": 58.256839810645424 + }, + "r=[145/512,73/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1057147392908689359087/9223372036854775808", + "floor_float": 114.61615000289882 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "890495448051686006947/18446744073709551616", + "floor_float": 48.27385496830453 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "210436296571786560109/18446744073709551616", + "floor_float": 11.407774495646745 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2026003449016598352049/18446744073709551616", + "floor_float": 109.82986704434605 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "492629531770061160913/18446744073709551616", + "floor_float": 26.70550042878086 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1402207963974871297477/18446744073709551616", + "floor_float": 76.01384604090157 + }, + "r=[145/512,73/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1380043526761310342685/9223372036854775808", + "floor_float": 149.624618983917 + }, + "r=[145/512,73/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1143114611487429884799/18446744073709551616", + "floor_float": 61.96836725872974 + }, + "r=[145/512,73/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "135097873212435155915/9223372036854775808", + "floor_float": 14.647340763509343 + }, + "r=[145/512,73/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2601512786752453658997/18446744073709551616", + "floor_float": 141.02829075729144 + }, + "r=[145/512,73/256],b=[7/8,1],k=[3/4,1]": { + "floor": "316193768515813231217/9223372036854775808", + "floor_float": 34.28179707512234 + }, + "r=[145/512,73/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "900104296381840457687/9223372036854775808", + "floor_float": 97.58950336007278 + }, + "r=[145/512,73/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1772446894780067318033/9223372036854775808", + "floor_float": 192.16907739357353 + }, + "r=[147/512,37/128],b=[0,1/8],k=[1,5/4]": { + "floor": "220534448711663417735/9223372036854775808", + "floor_float": 23.910392840107853 + }, + "r=[147/512,37/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "104024025373418293457/18446744073709551616", + "floor_float": 5.639153715027367 + }, + "r=[147/512,37/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "62669264383924087099/1152921504606846976", + "floor_float": 54.35692207449515 + }, + "r=[147/512,37/128],b=[0,1/8],k=[3/4,1]": { + "floor": "243923749717667023609/18446744073709551616", + "floor_float": 13.223132968235252 + }, + "r=[147/512,37/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "173588956818912039099/4611686018427387904", + "floor_float": 37.64110482051137 + }, + "r=[147/512,37/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1365096478669311653833/18446744073709551616", + "floor_float": 74.00202839127898 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "194303849397499241153/4611686018427387904", + "floor_float": 42.13293112781299 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "183458147311728902361/18446744073709551616", + "floor_float": 9.94528609377711 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "884066927268584686317/9223372036854775808", + "floor_float": 95.8507283167184 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "429850488041589328275/18446744073709551616", + "floor_float": 23.302241648932274 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1223859441432677650729/18446744073709551616", + "floor_float": 66.34555326091025 + }, + "r=[147/512,37/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2408334011954952504981/18446744073709551616", + "floor_float": 130.55604839161452 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "590626149351742859581/18446744073709551616", + "floor_float": 32.01790771269538 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "34841670496089261395/4611686018427387904", + "floor_float": 7.555082968976816 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "335790818800706295331/4611686018427387904", + "floor_float": 72.81302704888243 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "326657802005798915079/18446744073709551616", + "floor_float": 17.708154929701347 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "116239754537077719889/2305843009213693952", + "floor_float": 50.41095775931257 + }, + "r=[147/512,37/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "914538829290754866097/9223372036854775808", + "floor_float": 99.15449855393862 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "255741057047587447931/9223372036854775808", + "floor_float": 27.727500964473364 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "60332751752438418227/9223372036854775808", + "floor_float": 6.5412900522022355 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "581500765525177909575/9223372036854775808", + "floor_float": 63.04643932843818 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "282876034375269798865/18446744073709551616", + "floor_float": 15.334740550687588 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "805275656822800360183/18446744073709551616", + "floor_float": 43.654080828848585 + }, + "r=[147/512,37/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "197940557483572967907/2305843009213693952", + "floor_float": 85.84303297867267 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "502902002380868882149/9223372036854775808", + "floor_float": 54.524744352864836 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "237485939550858429427/18446744073709551616", + "floor_float": 12.874138579790095 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1144478367801994265163/9223372036854775808", + "floor_float": 124.08459327335864 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "69535529925154117103/2305843009213693952", + "floor_float": 30.15622904391316 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1584029737875247881353/18446744073709551616", + "floor_float": 85.8704241542994 + }, + "r=[147/512,37/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "389823901400592479317/2305843009213693952", + "floor_float": 169.05916831411898 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "678948131155286920233/18446744073709551616", + "floor_float": 36.805851940176765 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "40058810664885049353/4611686018427387904", + "floor_float": 8.686369910010773 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1544289438325908116711/18446744073709551616", + "floor_float": 83.71609819896845 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "375505545883042152179/18446744073709551616", + "floor_float": 20.356196431337477 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1069041327170644856501/18446744073709551616", + "floor_float": 57.952846469760004 + }, + "r=[147/512,37/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2103147460379714616869/18446744073709551616", + "floor_float": 114.01185228005289 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "885973937849383904341/18446744073709551616", + "floor_float": 48.028743409091966 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "52289230179925089195/4611686018427387904", + "floor_float": 11.338419391733877 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "503981482746915795499/4611686018427387904", + "floor_float": 109.28356369733437 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "244997824988306167899/9223372036854775808", + "floor_float": 26.562717410654496 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1395220760185271367829/18446744073709551616", + "floor_float": 75.63506896448742 + }, + "r=[147/512,37/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "343280010689432843749/2305843009213693952", + "floor_float": 148.8739733441321 + }, + "r=[147/512,37/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1137515067967355201289/18446744073709551616", + "floor_float": 61.66481539626014 + }, + "r=[147/512,37/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "67150528497840281211/4611686018427387904", + "floor_float": 14.560949776181642 + }, + "r=[147/512,37/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1294538633358867919851/9223372036854775808", + "floor_float": 140.35415986541005 + }, + "r=[147/512,37/128],b=[7/8,1],k=[3/4,1]": { + "floor": "78639603880082883121/2305843009213693952", + "floor_float": 34.104491748074146 + }, + "r=[147/512,37/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "895786420407560700955/9223372036854775808", + "floor_float": 97.12135830888907 + }, + "r=[147/512,37/128],b=[7/8,1],k=[7/4,2]": { + "floor": "1763931484708940683221/9223372036854775808", + "floor_float": 191.2458347837015 + }, + "r=[149/512,75/256],b=[0,1/8],k=[1,5/4]": { + "floor": "109637235549761748445/4611686018427387904", + "floor_float": 23.773785793671333 + }, + "r=[149/512,75/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "51664255830611606831/9223372036854775808", + "floor_float": 5.601449841139599 + }, + "r=[149/512,75/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "997024177169455412689/18446744073709551616", + "floor_float": 54.0487889453848 + }, + "r=[149/512,75/256],b=[0,1/8],k=[3/4,1]": { + "floor": "242469385617571377153/18446744073709551616", + "floor_float": 13.14429173238982 + }, + "r=[149/512,75/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "690433547409504264839/18446744073709551616", + "floor_float": 37.4284776029129 + }, + "r=[149/512,75/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1357265192287375564947/18446744073709551616", + "floor_float": 73.57749350584642 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "773135457084055282681/18446744073709551616", + "floor_float": 41.91175710980531 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "11394604159647247039/1152921504606846976", + "floor_float": 9.883243667601528 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "879502388686333957903/9223372036854775808", + "floor_float": 95.35584005199138 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "213740387982877888841/9223372036854775808", + "floor_float": 23.17377929989308 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1217539214177555734377/18446744073709551616", + "floor_float": 66.00293305487999 + }, + "r=[149/512,75/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2395774075225813858005/18446744073709551616", + "floor_float": 129.8751728572139 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "146845430754148802693/4611686018427387904", + "floor_float": 31.84202700864357 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "138465260488315009821/18446744073709551616", + "floor_float": 7.506216811760121 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1335930232923348686773/18446744073709551616", + "floor_float": 72.42092304122804 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "324780241875664036685/18446744073709551616", + "floor_float": 17.606372191098128 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "115612464232505078923/2305843009213693952", + "floor_float": 50.138913954913875 + }, + "r=[149/512,75/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "227390947607097124739/2305843009213693952", + "floor_float": 98.61510375966088 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "254314489004009834875/9223372036854775808", + "floor_float": 27.57283214726884 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "59935067120027862167/9223372036854775808", + "floor_float": 6.498172997959873 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "578289461451194727999/9223372036854775808", + "floor_float": 62.698269043085766 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "281224979572656626383/18446744073709551616", + "floor_float": 15.245236690493297 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "400420501859449981771/9223372036854775808", + "floor_float": 43.41367780237516 + }, + "r=[149/512,75/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1574680714837494564917/18446744073709551616", + "floor_float": 85.36361259989194 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "500367765252307916995/9223372036854775808", + "floor_float": 54.24998181282692 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "59011880957541288369/4611686018427387904", + "floor_float": 12.796161907324446 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "284709570442203384703/2305843009213693952", + "floor_float": 123.47309392034067 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "553320922705111795069/18446744073709551616", + "floor_float": 29.995587323928305 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "49256460697907872941/576460752303423488", + "floor_float": 85.44633871618973 + }, + "r=[149/512,75/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "387888016302139056205/2305843009213693952", + "floor_float": 168.21961198234877 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "337651799817905949327/9223372036854775808", + "floor_float": 36.60828149062143 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "159217681035355700063/18446744073709551616", + "floor_float": 8.631207783831837 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1536110124735018352023/18446744073709551616", + "floor_float": 83.2726967207343 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "373392536619613198027/18446744073709551616", + "floor_float": 20.241649969642896 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1063389148765272543059/18446744073709551616", + "floor_float": 57.64644126444099 + }, + "r=[149/512,75/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1045948411314200050767/9223372036854775808", + "floor_float": 113.40195398546176 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "881420203550460656055/18446744073709551616", + "floor_float": 47.781884978101246 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "103936969297298099109/9223372036854775808", + "floor_float": 11.268868791368977 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "125360051506715288479/1152921504606846976", + "floor_float": 108.73251214918037 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "487346984361638399855/18446744073709551616", + "floor_float": 26.419132959957377 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1388177718067335805559/18446744073709551616", + "floor_float": 75.25326488622878 + }, + "r=[149/512,75/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "170766539754108424851/1152921504606846976", + "floor_float": 148.11636271138929 + }, + "r=[149/512,75/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1131875212222070324035/18446744073709551616", + "floor_float": 61.359078203683 + }, + "r=[149/512,75/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "133500249133119849061/9223372036854775808", + "floor_float": 14.474126013748462 + }, + "r=[149/512,75/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2576552910779814827005/18446744073709551616", + "floor_float": 139.67521316956626 + }, + "r=[149/512,75/256],b=[7/8,1],k=[3/4,1]": { + "floor": "156456419450738938913/4611686018427387904", + "floor_float": 33.9260779735589 + }, + "r=[149/512,75/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "445717047725407234257/4611686018427387904", + "floor_float": 96.64947829154235 + }, + "r=[149/512,75/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3510737439371400957697/18446744073709551616", + "floor_float": 190.3174579396335 + }, + "r=[15/32,241/512],b=[0,1/8],k=[1,5/4]": { + "floor": "311243409938517764661/18446744073709551616", + "floor_float": 16.87253906135687 + }, + "r=[15/32,241/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "35059901163220367417/9223372036854775808", + "floor_float": 3.801202100829059 + }, + "r=[15/32,241/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "351071197584110155161/9223372036854775808", + "floor_float": 38.063215511778 + }, + "r=[15/32,241/512],b=[0,1/8],k=[3/4,1]": { + "floor": "170579313724032447359/18446744073709551616", + "floor_float": 9.24712312603412 + }, + "r=[15/32,241/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "244669734601876968575/9223372036854775808", + "floor_float": 26.52714577968068 + }, + "r=[15/32,241/512],b=[0,1/8],k=[7/4,2]": { + "floor": "29592973882138313633/576460752303423488", + "floor_float": 51.33562651731384 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "564997679109655612115/18446744073709551616", + "floor_float": 30.628585556997827 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "126997829866255928977/18446744073709551616", + "floor_float": 6.884566152096958 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "159959873304520726455/2305843009213693952", + "floor_float": 69.37153685890696 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "309187117964317953969/18446744073709551616", + "floor_float": 16.761067250072273 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "13905202129525701427/288230376151711744", + "floor_float": 48.24336114458185 + }, + "r=[15/32,241/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "864971474293255654643/9223372036854775808", + "floor_float": 93.78039515667375 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "13227913304926727151/576460752303423488", + "floor_float": 22.946771748242345 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "23816503072676142441/4611686018427387904", + "floor_float": 5.164380874480633 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "119607539840840479205/2305843009213693952", + "floor_float": 51.87150181643431 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "231843978240342705053/18446744073709551616", + "floor_float": 12.56828724429308 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "666139184341794342665/18446744073709551616", + "floor_float": 36.111477542054764 + }, + "r=[15/32,241/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1292044719185424359831/18446744073709551616", + "floor_float": 70.04188457446303 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "11368590737309887609/576460752303423488", + "floor_float": 19.721361240783942 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "81923496453368209221/18446744073709551616", + "floor_float": 4.441081641617516 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "410773143126475193195/9223372036854775808", + "floor_float": 44.53611341764235 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "199325123375022719477/18446744073709551616", + "floor_float": 10.805436589707043 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "572243395343268042523/18446744073709551616", + "floor_float": 31.02137662108263 + }, + "r=[15/32,241/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "277168909988432422017/4611686018427387904", + "floor_float": 60.10142687097953 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "370392951622849430201/9223372036854775808", + "floor_float": 40.15808428228117 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "5195654454038329839/576460752303423488", + "floor_float": 9.01302375448375 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1681030699556557753231/18446744073709551616", + "floor_float": 91.12885682370236 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "202512249410956735497/9223372036854775808", + "floor_float": 21.95642207662856 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1167869818329218345615/18446744073709551616", + "floor_float": 63.31034971063949 + }, + "r=[15/32,241/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2275009018830534199065/18446744073709551616", + "floor_float": 123.32848603200905 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "245056846734623384071/9223372036854775808", + "floor_float": 26.569116561212596 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "27559440309967648349/4611686018427387904", + "floor_float": 5.976001011310301 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "554506212638522727367/9223372036854775808", + "floor_float": 60.11968403993954 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "134167519508601090087/9223372036854775808", + "floor_float": 14.54647161282166 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "192911565285565997879/4611686018427387904", + "floor_float": 41.83102763603797 + }, + "r=[15/32,241/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "374595364681115720931/4611686018427387904", + "floor_float": 81.22742163805309 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "648370690490650583585/18446744073709551616", + "floor_float": 35.1482455602945 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "36407049178044996471/4611686018427387904", + "floor_float": 7.894520362524597 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1469924784676978261751/18446744073709551616", + "floor_float": 79.68478224685336 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "88664008110089278551/4611686018427387904", + "floor_float": 19.225942042846235 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1021708597280824359167/18446744073709551616", + "floor_float": 55.386934040949356 + }, + "r=[15/32,241/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1988247183075474346659/18446744073709551616", + "floor_float": 107.78309576643069 + }, + "r=[15/32,241/512],b=[7/8,1],k=[1,5/4]": { + "floor": "210714333857358152693/4611686018427387904", + "floor_float": 45.69138770839672 + }, + "r=[15/32,241/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "94515379957084639103/9223372036854775808", + "floor_float": 10.247378028276406 + }, + "r=[15/32,241/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1914540715759983369697/18446744073709551616", + "floor_float": 103.78746016694633 + }, + "r=[15/32,241/512],b=[7/8,1],k=[3/4,1]": { + "floor": "460637815999212784645/18446744073709551616", + "floor_float": 24.97122604176623 + }, + "r=[15/32,241/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "332360269829591340393/4611686018427387904", + "floor_float": 72.06914531942228 + }, + "r=[15/32,241/512],b=[7/8,1],k=[7/4,2]": { + "floor": "324049921240466961173/2305843009213693952", + "floor_float": 140.53425144106836 + }, + "r=[15/64,121/512],b=[0,1/8],k=[1,5/4]": { + "floor": "14797401320573484935/576460752303423488", + "floor_float": 25.66939945424903 + }, + "r=[15/64,121/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "113145946979391751439/18446744073709551616", + "floor_float": 6.133654076149312 + }, + "r=[15/64,121/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1075018765504990534965/18446744073709551616", + "floor_float": 58.27688405115979 + }, + "r=[15/64,121/512],b=[0,1/8],k=[3/4,1]": { + "floor": "65700744051681642013/4611686018427387904", + "floor_float": 14.246577886949463 + }, + "r=[15/64,121/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "186127873679492871283/4611686018427387904", + "floor_float": 40.36004900068274 + }, + "r=[15/64,121/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1464249526713031957915/18446744073709551616", + "floor_float": 79.37712589615704 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "829567981366306993897/18446744073709551616", + "floor_float": 44.97097038108822 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "99202655205160644045/9223372036854775808", + "floor_float": 10.755573428976561 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "941989246965534695187/9223372036854775808", + "floor_float": 102.13067880180171 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "460483398987281056059/18446744073709551616", + "floor_float": 24.962855078775974 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "652230613782149724487/9223372036854775808", + "floor_float": 70.71498484241607 + }, + "r=[15/64,121/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2566934573778003393021/18446744073709551616", + "floor_float": 139.15380207591318 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "79022887407579419367/2305843009213693952", + "floor_float": 34.270714481350005 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "151132238640375867171/18446744073709551616", + "floor_float": 8.19289507332466 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1435477981403231461407/18446744073709551616", + "floor_float": 77.81741729962451 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "350891067043412457337/18446744073709551616", + "floor_float": 19.021842859711228 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "994031553126174332959/18446744073709551616", + "floor_float": 53.886558470926914 + }, + "r=[15/64,121/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1955560285410796005475/18446744073709551616", + "floor_float": 106.0111354934379 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "274144450847885287479/9223372036854775808", + "floor_float": 29.722800918412283 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "32762176476544355325/4611686018427387904", + "floor_float": 7.104164582244576 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1244857519850855860659/18446744073709551616", + "floor_float": 67.48386137286074 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "304318710861981025341/18446744073709551616", + "floor_float": 16.497150372227395 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "215522016333500299165/4611686018427387904", + "floor_float": 46.733887665447476 + }, + "r=[15/64,121/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "847859175615474654743/9223372036854775808", + "floor_float": 91.92507601640665 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1070900104528597939859/18446744073709551616", + "floor_float": 58.05361099224298 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "256193896536869844045/18446744073709551616", + "floor_float": 13.888298960140041 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "304055923507331476065/2305843009213693952", + "floor_float": 131.86323712949405 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "594472469560073977535/18446744073709551616", + "floor_float": 32.22641714899275 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1684040858114766155253/18446744073709551616", + "floor_float": 91.29203784611913 + }, + "r=[15/64,121/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3314696510880126166995/18446744073709551616", + "floor_float": 179.69005791131772 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "362833966151593226713/9223372036854775808", + "floor_float": 39.338537435308936 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "86760946715516262837/9223372036854775808", + "floor_float": 9.406640691586182 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "411972960598724263197/4611686018427387904", + "floor_float": 89.33239577728439 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "402799431400259309679/18446744073709551616", + "floor_float": 21.835800930004353 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "142632327476349672467/2305843009213693952", + "floor_float": 61.856911726608885 + }, + "r=[15/64,121/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2245102874707051989545/18446744073709551616", + "floor_float": 121.70727071054185 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "944447019421688254625/18446744073709551616", + "floor_float": 51.19857551272269 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "225917507041044799329/18446744073709551616", + "floor_float": 12.2470125968205 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "268132793591589262321/2305843009213693952", + "floor_float": 116.28406293064337 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "524262891302657847521/18446744073709551616", + "floor_float": 28.420348285193676 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1485152152644358138549/18446744073709551616", + "floor_float": 80.51025951842684 + }, + "r=[15/64,121/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "730718561337863499165/4611686018427387904", + "floor_float": 158.44933033559877 + }, + "r=[15/64,121/512],b=[7/8,1],k=[1,5/4]": { + "floor": "37802938334684567789/576460752303423488", + "floor_float": 65.57764459008091 + }, + "r=[15/64,121/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "36168502676180022301/2305843009213693952", + "floor_float": 15.685587670824864 + }, + "r=[15/64,121/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1373969613743280413699/9223372036854775808", + "floor_float": 148.9660840149534 + }, + "r=[15/64,121/512],b=[7/8,1],k=[3/4,1]": { + "floor": "20985111552960754747/576460752303423488", + "floor_float": 36.40336565691313 + }, + "r=[15/64,121/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1902356501973740324245/18446744073709551616", + "floor_float": 103.1269526140927 + }, + "r=[15/64,121/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3744885211918177742699/18446744073709551616", + "floor_float": 203.01063412352636 + }, + "r=[151/512,19/64],b=[0,1/8],k=[1,5/4]": { + "floor": "218005635018650835003/9223372036854775808", + "floor_float": 23.63621831013032 + }, + "r=[151/512,19/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "102629957224395350925/18446744073709551616", + "floor_float": 5.563581129239192 + }, + "r=[151/512,19/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "991291397940350895315/18446744073709551616", + "floor_float": 53.73801436065606 + }, + "r=[151/512,19/64],b=[0,1/8],k=[3/4,1]": { + "floor": "241006440011964735067/18446744073709551616", + "floor_float": 13.064985292198479 + }, + "r=[151/512,19/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "21452510105436679309/576460752303423488", + "floor_float": 37.2141728985307 + }, + "r=[151/512,19/64],b=[0,1/8],k=[7/4,2]": { + "floor": "1349362040122140709917/18446744073709551616", + "floor_float": 73.14906276849487 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "192256518320026621121/4611686018427387904", + "floor_float": 41.68898696741441 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "181163951206409335183/18446744073709551616", + "floor_float": 9.820917473702346 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "874898767573699900123/9223372036854775808", + "floor_float": 94.85671445082959 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "425096786541317506273/18446744073709551616", + "floor_float": 23.04454297423516 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "37849035237789430795/576460752303423488", + "floor_float": 65.65760997006674 + }, + "r=[151/512,19/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "297887404945665364537/2305843009213693952", + "floor_float": 129.18806863926383 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "146031555689112602787/4611686018427387904", + "floor_float": 31.66554598591476 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "137559860097744602523/18446744073709551616", + "floor_float": 7.4571349582388375 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1328637653219062494295/18446744073709551616", + "floor_float": 72.0255915033075 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "322891838766280243243/18446744073709551616", + "floor_float": 17.50400165341201 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "459932888323986888329/9223372036854775808", + "floor_float": 49.86602367183995 + }, + "r=[151/512,19/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1809085912606783698521/18446744073709551616", + "floor_float": 98.07074383305981 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "126438926554435098445/4611686018427387904", + "floor_float": 27.417071771410733 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "29768944412049418917/4611686018427387904", + "floor_float": 6.45511084082884 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "575050551748780314567/9223372036854775808", + "floor_float": 62.34710574950156 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "279565367902632185925/18446744073709551616", + "floor_float": 15.155268961587156 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "398185006592045420405/9223372036854775808", + "floor_float": 43.171304919825054 + }, + "r=[151/512,19/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1565755717616703667973/18446744073709551616", + "floor_float": 84.8797875310815 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "995635637381771003607/18446744073709551616", + "floor_float": 53.9735160526653 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "117301608421543104509/9223372036854775808", + "floor_float": 12.717865868668097 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2266299859753458974513/18446744073709551616", + "floor_float": 122.85636157241471 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "275176163238871069193/9223372036854775808", + "floor_float": 29.834659399980982 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1568322018464939924099/18446744073709551616", + "floor_float": 85.01890697882696 + }, + "r=[151/512,19/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "771866590680763907139/4611686018427387904", + "floor_float": 167.37188689701276 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "671633352389056094077/18446744073709551616", + "floor_float": 36.40931698869685 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "158195564076408948725/18446744073709551616", + "floor_float": 8.575798712460621 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "763933861396334830105/9223372036854775808", + "floor_float": 82.82587521611464 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "371266820375892458587/18446744073709551616", + "floor_float": 20.126414661166407 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "528846346787312178169/9223372036854775808", + "floor_float": 57.33763580978263 + }, + "r=[151/512,19/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1040309390004922537449/9223372036854775808", + "floor_float": 112.79057007004069 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "876834112982526284213/18446744073709551616", + "floor_float": 47.533272510252765 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "206585058788796517505/18446744073709551616", + "floor_float": 11.198998477092942 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1995508578779615882619/18446744073709551616", + "floor_float": 108.17673681631605 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "484682181539294228553/18446744073709551616", + "floor_float": 26.274673709495822 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "172634881333834746645/2305843009213693952", + "floor_float": 74.86844535556835 + }, + "r=[151/512,19/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "679540309144955512727/4611686018427387904", + "floor_float": 147.3518158932864 + }, + "r=[151/512,19/64],b=[7/8,1],k=[1,5/4]": { + "floor": "140774486325397141913/2305843009213693952", + "floor_float": 61.05120156181061 + }, + "r=[151/512,19/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "16586967884324871591/1152921504606846976", + "floor_float": 14.386901292105854 + }, + "r=[151/512,19/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2563967689155135257977/18446744073709551616", + "floor_float": 138.9929669382318 + }, + "r=[151/512,19/64],b=[7/8,1],k=[3/4,1]": { + "floor": "311257205593223768187/9223372036854775808", + "floor_float": 33.746573850594054 + }, + "r=[151/512,19/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1774110889759003106205/18446744073709551616", + "floor_float": 96.17474404534512 + }, + "r=[151/512,19/64],b=[7/8,1],k=[7/4,2]": { + "floor": "3493462324028546122461/18446744073709551616", + "floor_float": 189.38097206040044 + }, + "r=[153/512,77/256],b=[0,1/8],k=[1,5/4]": { + "floor": "108364009997796333921/4611686018427387904", + "floor_float": 23.49769901177034 + }, + "r=[153/512,77/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "50964211129484263619/9223372036854775808", + "floor_float": 5.525550842559676 + }, + "r=[153/512,77/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "985510356352578997811/18446744073709551616", + "floor_float": 53.42462346822149 + }, + "r=[153/512,77/256],b=[0,1/8],k=[3/4,1]": { + "floor": "239534957211265320237/18446744073709551616", + "floor_float": 12.985216049733811 + }, + "r=[153/512,77/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "341248201784288388489/9223372036854775808", + "floor_float": 36.99820417312973 + }, + "r=[153/512,77/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1341387718652945527445/18446744073709551616", + "floor_float": 72.7167739354449 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "764887250478818946313/18446744073709551616", + "floor_float": 41.46462093377998 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "90004550629530557075/9223372036854775808", + "floor_float": 9.75831293261186 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "217564198676098253967/2305843009213693952", + "floor_float": 94.35343074387745 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "26418665716838375435/1152921504606846976", + "floor_float": 22.914539811491586 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "602374788468266118343/9223372036854775808", + "floor_float": 65.30960543077903 + }, + "r=[153/512,77/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "296290083692669142401/2305843009213693952", + "floor_float": 128.49534097020154 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "72607695110966554277/2305843009213693952", + "floor_float": 31.48856831139003 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "136651241544392753155/18446744073709551616", + "floor_float": 7.407878647763602 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1321283128097557552919/18446744073709551616", + "floor_float": 71.62690189759074 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "320999345367384816323/18446744073709551616", + "floor_float": 17.401409380687166 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "914792514595341297971/18446744073709551616", + "floor_float": 49.59100158488733 + }, + "r=[153/512,77/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1798953058714948599781/18446744073709551616", + "floor_float": 97.52144072290952 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "62857812215471426071/2305843009213693952", + "floor_float": 27.26023062468 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "118278006774951490293/18446744073709551616", + "floor_float": 6.411863595132881 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1143568412298047670545/18446744073709551616", + "floor_float": 61.992967849967116 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "138947999013560322265/9223372036854775808", + "floor_float": 15.064772239301583 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "791864203758818430069/18446744073709551616", + "floor_float": 42.927044501440754 + }, + "r=[153/512,77/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1556749873060747837045/18446744073709551616", + "floor_float": 84.39157971944981 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "495249982016592467731/9223372036854775808", + "floor_float": 53.69511064257966 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "116577938728814549085/9223372036854775808", + "floor_float": 12.639405443366275 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1127413476294955853775/9223372036854775808", + "floor_float": 122.2344140288426 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "547366360071039534355/18446744073709551616", + "floor_float": 29.672789836725197 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1560375794229335279259/18446744073709551616", + "floor_float": 84.58814129986199 + }, + "r=[153/512,77/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "767921056343135690291/4611686018427387904", + "floor_float": 166.51633551691825 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "667938965886718022979/18446744073709551616", + "floor_float": 36.20904389510505 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "157169107904710102029/18446744073709551616", + "floor_float": 8.520154411894769 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1519600835885293111535/18446744073709551616", + "floor_float": 82.37772637888116 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "369128615580799761661/18446744073709551616", + "floor_float": 20.010502346963484 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "525981789309824618373/9223372036854775808", + "floor_float": 57.02705986575247 + }, + "r=[153/512,77/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2069259162738320998015/18446744073709551616", + "floor_float": 112.17476398382118 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "436107977016808032507/9223372036854775808", + "floor_float": 47.28292161198817 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "102645159112860623771/9223372036854775808", + "floor_float": 11.128810450528377 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "248146206012331770765/2305843009213693952", + "floor_float": 107.61626226104227 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "482001470790421641721/18446744073709551616", + "floor_float": 26.129352088609178 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1373925082307427487671/18446744073709551616", + "floor_float": 74.48062795350192 + }, + "r=[153/512,77/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2703930442087861456621/18446744073709551616", + "floor_float": 146.58036297806748 + }, + "r=[153/512,77/256],b=[7/8,1],k=[1,5/4]": { + "floor": "140061176379811339079/2305843009213693952", + "floor_float": 60.741852684746746 + }, + "r=[153/512,77/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "263775141378183685759/18446744073709551616", + "floor_float": 14.299279066494892 + }, + "r=[153/512,77/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1275637978584940139077/9223372036854775808", + "floor_float": 138.30494676868094 + }, + "r=[153/512,77/256],b=[7/8,1],k=[3/4,1]": { + "floor": "619184918568218075855/18446744073709551616", + "floor_float": 33.56608169409611 + }, + "r=[153/512,77/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1765310410314080248473/18446744073709551616", + "floor_float": 95.69766909869016 + }, + "r=[153/512,77/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3476031221052215626039/18446744073709551616", + "floor_float": 188.43603007461263 + }, + "r=[155/512,39/128],b=[0,1/8],k=[1,5/4]": { + "floor": "215441733997272850269/9223372036854775808", + "floor_float": 23.35823960438874 + }, + "r=[155/512,39/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "50611992408475434509/9223372036854775808", + "floor_float": 5.4873632123088925 + }, + "r=[155/512,39/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "489841826435510119361/9223372036854775808", + "floor_float": 53.108757239564746 + }, + "r=[155/512,39/128],b=[0,1/8],k=[3/4,1]": { + "floor": "29756888621436007583/2305843009213693952", + "floor_float": 12.904993315908042 + }, + "r=[155/512,39/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "678482291663259258097/18446744073709551616", + "floor_float": 36.78059873071247 + }, + "r=[155/512,39/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1333354764327745811535/18446744073709551616", + "floor_float": 72.28130660890199 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "380360217847278154415/9223372036854775808", + "floor_float": 41.23873745170787 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "178849213697839741501/18446744073709551616", + "floor_float": 9.695435301926103 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1731159622463457834675/18446744073709551616", + "floor_float": 93.84635117970333 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "210143367236774085337/9223372036854775808", + "floor_float": 22.783789529152966 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "599141892208408856579/9223372036854775808", + "floor_float": 64.95909411594329 + }, + "r=[155/512,39/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2357471823711501222263/18446744073709551616", + "floor_float": 127.79880364206869 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "36098463540962138513/1152921504606846976", + "floor_float": 31.310426075599942 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "67870491841537358829/9223372036854775808", + "floor_float": 7.358533470225451 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1313867046431096580915/18446744073709551616", + "floor_float": 71.2248753048854 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "159550133570584673845/9223372036854775808", + "floor_float": 17.29846014375803 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "909680245480506689217/18446744073709551616", + "floor_float": 49.313864920855615 + }, + "r=[155/512,39/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "111795594323904677777/1152921504606846976", + "floor_float": 96.96722099222846 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "124987391544917636041/4611686018427387904", + "floor_float": 27.102320289259215 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "58738475166453495023/9223372036854775808", + "floor_float": 6.368438238395473 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1136981242997915380977/18446744073709551616", + "floor_float": 61.635876686680454 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "4315890734002123667/288230376151711744", + "floor_float": 14.973753952048515 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "787323466714995200139/18446744073709551616", + "floor_float": 42.68089065306083 + }, + "r=[155/512,39/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "773831922781460260527/9223372036854775808", + "floor_float": 83.89902518182943 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "246332209324610868049/4611686018427387904", + "floor_float": 53.41478330057943 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "231702790271867083391/18446744073709551616", + "floor_float": 12.560633429185575 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2243258368298912347099/18446744073709551616", + "floor_float": 121.60727981779843 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "272180747795602526061/9223372036854775808", + "floor_float": 29.509895806872144 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "194046062788602218627/2305843009213693952", + "floor_float": 84.15406513506446 + }, + "r=[155/512,39/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3055761952354237802015/18446744073709551616", + "floor_float": 165.65318736705055 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "83028472647849049133/2305843009213693952", + "floor_float": 36.00786016918049 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "156138426284050195323/18446744073709551616", + "floor_float": 8.46428104928175 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "47227440942780405797/576460752303423488", + "floor_float": 81.9265505137494 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "366979674593825855957/18446744073709551616", + "floor_float": 19.894008022632473 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1046211482702263432817/18446744073709551616", + "floor_float": 56.71523812125374 + }, + "r=[155/512,39/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1028898903199678347915/9223372036854775808", + "floor_float": 111.5534426117044 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "867566030568490743497/18446744073709551616", + "floor_float": 47.03084875584916 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "203989836970697114633/18446744073709551616", + "floor_float": 11.058311220429685 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "61710779636604617505/576460752303423488", + "floor_float": 107.05113815644953 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "239652539712541456951/9223372036854775808", + "floor_float": 25.983180419800608 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "341679063024379424493/4611686018427387904", + "floor_float": 74.08983648476875 + }, + "r=[155/512,39/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1344788072328239718457/9223372036854775808", + "floor_float": 145.80221495508712 + }, + "r=[155/512,39/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1114752714892116841479/18446744073709551616", + "floor_float": 60.43086576350736 + }, + "r=[155/512,39/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "262152587003644030709/18446744073709551616", + "floor_float": 14.211320217602303 + }, + "r=[155/512,39/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2538478318168623811201/18446744073709551616", + "floor_float": 137.61118536828857 + }, + "r=[155/512,39/128],b=[7/8,1],k=[3/4,1]": { + "floor": "307920598173978332135/9223372036854775808", + "floor_float": 33.384818149326335 + }, + "r=[155/512,39/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1756444269895469336609/18446744073709551616", + "floor_float": 95.21703466351917 + }, + "r=[155/512,39/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3458444799734048443277/18446744073709551616", + "floor_float": 187.48266826464254 + }, + "r=[157/512,79/256],b=[0,1/8],k=[1,5/4]": { + "floor": "214147222119503027349/9223372036854775808", + "floor_float": 23.217888345370106 + }, + "r=[157/512,79/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "100516794068369801693/18446744073709551616", + "floor_float": 5.44902632501023 + }, + "r=[157/512,79/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "60863895755083267603/1152921504606846976", + "floor_float": 52.79101440287404 + }, + "r=[157/512,79/256],b=[0,1/8],k=[3/4,1]": { + "floor": "236567065820242846231/18446744073709551616", + "floor_float": 12.82432633504143 + }, + "r=[157/512,79/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "674441780564564559367/18446744073709551616", + "floor_float": 36.561562185154635 + }, + "r=[157/512,79/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1325280337636076499143/18446744073709551616", + "floor_float": 71.84359106086785 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "756529267882219169123/18446744073709551616", + "floor_float": 41.01153378933851 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "88842243695228414639/9223372036854775808", + "floor_float": 9.632295362285326 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "860875697116963846265/9223372036854775808", + "floor_float": 93.33633010541853 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "26116363457786682945/1152921504606846976", + "floor_float": 22.65233439868269 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "595890634287927628011/9223372036854775808", + "floor_float": 64.60659202587364 + }, + "r=[157/512,79/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "293066765496013485761/2305843009213693952", + "floor_float": 127.09744953363108 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "574267219704478020535/18446744073709551616", + "floor_float": 31.13108835954028 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "134828373157615263867/18446744073709551616", + "floor_float": 7.3090607545086375 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1306389832580611412561/18446744073709551616", + "floor_float": 70.81953472984367 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "317191754425050923391/18446744073709551616", + "floor_float": 17.19499946210644 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "904529277157912575909/18446744073709551616", + "floor_float": 49.03463036856759 + }, + "r=[157/512,79/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1778415994473519747373/18446744073709551616", + "floor_float": 96.40812423955795 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "497017201990279908491/18446744073709551616", + "floor_float": 26.94335650802641 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "29168153726852748775/4611686018427387904", + "floor_float": 6.324835127608982 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "70646309858514077435/1152921504606846976", + "floor_float": 61.275906101348056 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "274528563212221936145/18446744073709551616", + "floor_float": 14.882223232200758 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "782748005468321972071/18446744073709551616", + "floor_float": 42.43285440187251 + }, + "r=[157/512,79/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1538503078285478913635/18446744073709551616", + "floor_float": 83.40241899263762 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "980122582370443741485/18446744073709551616", + "floor_float": 53.13255165540689 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "115121789194606775595/9223372036854775808", + "floor_float": 12.481529394521093 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "278949365505379870577/2305843009213693952", + "floor_float": 120.97500323775435 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "135334754599147232631/4611686018427387904", + "floor_float": 29.346046989837607 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1544300607120933286135/18446744073709551616", + "floor_float": 83.71670366055997 + }, + "r=[157/512,79/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "379962745023530293143/2305843009213693952", + "floor_float": 164.78257344722692 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "660499565811105880849/18446744073709551616", + "floor_float": 35.80575320890667 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "155104517347769827759/18446744073709551616", + "floor_float": 8.408232733538384 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "375722225757632447855/4611686018427387904", + "floor_float": 81.47177068350285 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "91205672938562253255/4611686018427387904", + "floor_float": 19.777077748598316 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "520211665698842624065/9223372036854775808", + "floor_float": 56.40146181029881 + }, + "r=[157/512,79/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1023117576102531953601/9223372036854775808", + "floor_float": 110.92662987184686 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "862884865470302271085/18446744073709551616", + "floor_float": 46.7770822873882 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "12667734198029898131/1152921504606846976", + "floor_float": 10.987507950378347 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1964241060352576834397/18446744073709551616", + "floor_float": 106.48172124597473 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "238296629674514567157/9223372036854775808", + "floor_float": 25.836172358908243 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "169931789249984722529/2305843009213693952", + "floor_float": 73.69616603167293 + }, + "r=[157/512,79/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2675116524992146339031/18446744073709551616", + "floor_float": 145.0183574024179 + }, + "r=[157/512,79/256],b=[7/8,1],k=[1,5/4]": { + "floor": "554489928341870434959/9223372036854775808", + "floor_float": 60.11791849295876 + }, + "r=[157/512,79/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "260524753237160387213/18446744073709551616", + "floor_float": 14.123075172298963 + }, + "r=[157/512,79/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2525575389656316066879/18446744073709551616", + "floor_float": 136.9117162120651 + }, + "r=[157/512,79/256],b=[7/8,1],k=[3/4,1]": { + "floor": "153120471227666684433/4611686018427387904", + "floor_float": 33.20270951140808 + }, + "r=[157/512,79/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1747510953349724902007/18446744073709551616", + "floor_float": 94.73275860319934 + }, + "r=[157/512,79/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1720351878435838209549/9223372036854775808", + "floor_float": 186.5209244039654 + }, + "r=[159/512,5/16],b=[0,1/8],k=[1,5/4]": { + "floor": "212845583183093818199/9223372036854775808", + "floor_float": 23.076764369105447 + }, + "r=[159/512,5/16],b=[0,1/8],k=[1/2,3/4]": { + "floor": "12475873167094113103/2305843009213693952", + "floor_float": 5.410547516566819 + }, + "r=[159/512,5/16],b=[0,1/8],k=[3/2,7/4]": { + "floor": "967929773614344313175/18446744073709551616", + "floor_float": 52.47157816830373 + }, + "r=[159/512,5/16],b=[0,1/8],k=[3/4,1]": { + "floor": "117535865375287425121/9223372036854775808", + "floor_float": 12.74326405848504 + }, + "r=[159/512,5/16],b=[0,1/8],k=[5/4,3/2]": { + "floor": "167594923739886789717/4611686018427387904", + "floor_float": 36.34135608326554 + }, + "r=[159/512,5/16],b=[0,1/8],k=[7/4,2]": { + "floor": "1317154746760775961859/18446744073709551616", + "floor_float": 71.40310189688138 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[1,5/4]": { + "floor": "376158150323901247767/9223372036854775808", + "floor_float": 40.78314837793027 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "44128837280090381555/4611686018427387904", + "floor_float": 9.568916249666662 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1712282035007136328241/18446744073709551616", + "floor_float": 92.82299511313188 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[3/4,1]": { + "floor": "103856390801338649463/4611686018427387904", + "floor_float": 22.520264906662984 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1185240023366233803519/18446744073709551616", + "floor_float": 64.25199041252203 + }, + "r=[159/512,5/16],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2331501405151982810291/18446744073709551616", + "floor_float": 126.3909444309393 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[1,5/4]": { + "floor": "570937305901414881919/18446744073709551616", + "floor_float": 30.95057337056675 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "33478128208332842837/4611686018427387904", + "floor_float": 7.259411866844543 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "162356567199430205449/2305843009213693952", + "floor_float": 70.41093714996441 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[3/4,1]": { + "floor": "315272584586904902153/18446744073709551616", + "floor_float": 17.090961056712114 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "112417170463860485685/2305843009213693952", + "floor_float": 48.75317617663633 + }, + "r=[159/512,5/16],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1768015735652872300965/18446744073709551616", + "floor_float": 95.84432507917008 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[1,5/4]": { + "floor": "494065997254315543593/18446744073709551616", + "floor_float": 26.78337137871731 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "57932565887326029821/9223372036854775808", + "floor_float": 6.28106137926985 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "561826761761860981693/9223372036854775808", + "floor_float": 60.913379566270564 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[3/4,1]": { + "floor": "272830834353418689437/18446744073709551616", + "floor_float": 14.790189166350467 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "778140659070636516161/18446744073709551616", + "floor_float": 42.18308965318432 + }, + "r=[159/512,5/16],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1529277965097006526405/18446744073709551616", + "floor_float": 82.9023246046193 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[1,5/4]": { + "floor": "974881675962377813077/18446744073709551616", + "floor_float": 52.84844154973598 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "57194532701288059579/4611686018427387904", + "floor_float": 12.402087321805949 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2219840474939613628925/18446744073709551616", + "floor_float": 120.33779327503915 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[3/4,1]": { + "floor": "269149678040460624831/9223372036854775808", + "floor_float": 29.181266565524147 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "768086663522423463681/9223372036854775808", + "floor_float": 83.27612292481541 + }, + "r=[159/512,5/16],b=[3/4,7/8],k=[7/4,2]": { + "floor": "377939191626777319735/2305843009213693952", + "floor_float": 163.90499705166692 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[1,5/4]": { + "floor": "656752066617246189223/18446744073709551616", + "floor_float": 35.602600870538154 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "154067533982958211369/18446744073709551616", + "floor_float": 8.35201775269038 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1494431433067161801577/18446744073709551616", + "floor_float": 81.01329031810212 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[3/4,1]": { + "floor": "362657174891471412363/18446744073709551616", + "floor_float": 19.659684844239443 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1034595343127407445757/18446744073709551616", + "floor_float": 56.085525933106055 + }, + "r=[159/512,5/16],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2034572018951647000115/18446744073709551616", + "floor_float": 110.29437015127972 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[1,5/4]": { + "floor": "429087147110686343403/9223372036854775808", + "floor_float": 46.521721708301335 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "201372209462912216799/18446744073709551616", + "floor_float": 10.916409348894774 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "976833143992310281333/9223372036854775808", + "floor_float": 105.90846168723084 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[3/4,1]": { + "floor": "473866702714029972251/18446744073709551616", + "floor_float": 25.6883654275547 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1352143471252787746299/18446744073709551616", + "floor_float": 73.29984445221818 + }, + "r=[159/512,5/16],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2660557119080163883737/18446744073709551616", + "floor_float": 144.22909042642442 + }, + "r=[159/512,5/16],b=[7/8,1],k=[1,5/4]": { + "floor": "275792069984491487081/4611686018427387904", + "floor_float": 59.802872286291986 + }, + "r=[159/512,5/16],b=[7/8,1],k=[1/2,3/4]": { + "floor": "64722802451305393185/4611686018427387904", + "floor_float": 14.034520605411087 + }, + "r=[159/512,5/16],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2512568137831316276421/18446744073709551616", + "floor_float": 136.20659167772857 + }, + "r=[159/512,5/16],b=[7/8,1],k=[3/4,1]": { + "floor": "609104570263222780833/18446744073709551616", + "floor_float": 33.019624917511784 + }, + "r=[159/512,5/16],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1738510886142451994513/18446744073709551616", + "floor_float": 94.24486398226729 + }, + "r=[159/512,5/16],b=[7/8,1],k=[7/4,2]": { + "floor": "3422797454264980153213/18446744073709551616", + "floor_float": 185.55022179459726 + }, + "r=[161/512,81/256],b=[0,1/8],k=[1,5/4]": { + "floor": "105769082655693100119/4611686018427387904", + "floor_float": 22.935013839420268 + }, + "r=[161/512,81/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "24773726077345654469/4611686018427387904", + "floor_float": 5.37194552672379 + }, + "r=[161/512,81/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "481000147391489263619/9223372036854775808", + "floor_float": 52.15014047677005 + }, + "r=[161/512,81/256],b=[0,1/8],k=[3/4,1]": { + "floor": "116784888346045592197/9223372036854775808", + "floor_float": 12.66184296582597 + }, + "r=[161/512,81/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "666296630569265274369/18446744073709551616", + "floor_float": 36.12001271914845 + }, + "r=[161/512,81/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1308981265121909353441/18446744073709551616", + "floor_float": 70.96001656939991 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "748079917934733400761/18446744073709551616", + "floor_float": 40.55349361088079 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "175342427787491820987/18446744073709551616", + "floor_float": 9.505332056804066 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "851372121519171550403/9223372036854775808", + "floor_float": 92.30595037446787 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "412978741015919924703/18446744073709551616", + "floor_float": 22.387622409989444 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1178662507401895745307/18446744073709551616", + "floor_float": 63.895422557617366 + }, + "r=[161/512,81/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2318356753156922501637/18446744073709551616", + "floor_float": 125.67837141845878 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "141896497272819056407/4611686018427387904", + "floor_float": 30.768898122254775 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "132993449951254907865/18446744073709551616", + "floor_float": 7.209589368174639 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1291258816688417368815/18446744073709551616", + "floor_float": 69.9992807147322 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "76499810912387211/4503599627370496", + "floor_float": 16.98637029088062 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "111763267976827324527/2305843009213693952", + "floor_float": 48.469591177822316 + }, + "r=[161/512,81/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1757535932494201465761/18446744073709551616", + "floor_float": 95.2762138115775 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "491097374051716270601/18446744073709551616", + "floor_float": 26.62244199243986 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "57527320589902806467/9223372036854775808", + "floor_float": 6.237124596084271 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "8725953678371085103/144115188075855872", + "floor_float": 60.54846678462598 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "271124410857377486899/18446744073709551616", + "floor_float": 14.697683763271058 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "773504695113731238631/18446744073709551616", + "floor_float": 41.93177354350226 + }, + "r=[161/512,81/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "759998979130346780239/9223372036854775808", + "floor_float": 82.39925442598876 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "969607422642144058405/18446744073709551616", + "floor_float": 52.56252370433416 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "227306690070469476739/18446744073709551616", + "floor_float": 12.322320359744612 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2208000648774473255301/18446744073709551616", + "floor_float": 119.69595501253436 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "535242971831240035289/18446744073709551616", + "floor_float": 29.015579643351405 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "763994701808040982385/9223372036854775808", + "floor_float": 82.83247154676931 + }, + "r=[161/512,81/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1503600941990613715879/9223372036854775808", + "floor_float": 163.02074078574742 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "81622496564741103781/2305843009213693952", + "floor_float": 35.398115239673174 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "76513963758706327145/9223372036854775808", + "floor_float": 8.295660573266655 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "742953575002208146883/9223372036854775808", + "floor_float": 80.55118800732663 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "180240749981447793139/9223372036854775808", + "floor_float": 19.541741270030233 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1028726336737538716321/18446744073709551616", + "floor_float": 55.767366459194704 + }, + "r=[161/512,81/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2022810500657348602797/18446744073709551616", + "floor_float": 109.65677696695941 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "6667469711222024853/144115188075855872", + "floor_float": 46.2648649336846 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "50013882045351180093/4611686018427387904", + "floor_float": 10.845031913600703 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1943022200760483333667/18446744073709551616", + "floor_float": 105.3314445626041 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "471126328683262386047/18446744073709551616", + "floor_float": 25.539809453675645 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "672394404220246456471/9223372036854775808", + "floor_float": 72.90114738226876 + }, + "r=[161/512,81/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "661471923620922156969/4611686018427387904", + "floor_float": 143.4338593255939 + }, + "r=[161/512,81/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1097319190421185239261/18446744073709551616", + "floor_float": 59.4857925082342 + }, + "r=[161/512,81/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "128625489535395367227/9223372036854775808", + "floor_float": 13.945603519128717 + }, + "r=[161/512,81/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2499458913466456623045/18446744073709551616", + "floor_float": 135.49593920092954 + }, + "r=[161/512,81/256],b=[7/8,1],k=[3/4,1]": { + "floor": "605709225913691111815/18446744073709551616", + "floor_float": 32.83556293150686 + }, + "r=[161/512,81/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "864722477613549935599/9223372036854775808", + "floor_float": 93.75339888256588 + }, + "r=[161/512,81/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3404742263113547589289/18446744073709551616", + "floor_float": 184.57144792104606 + }, + "r=[163/512,41/128],b=[0,1/8],k=[1,5/4]": { + "floor": "420448761451020684509/18446744073709551616", + "floor_float": 22.79257302920181 + }, + "r=[163/512,41/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "98380858263027657727/18446744073709551616", + "floor_float": 5.333237012988154 + }, + "r=[163/512,41/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "956038431750285439275/18446744073709551616", + "floor_float": 51.826947234164706 + }, + "r=[163/512,41/128],b=[0,1/8],k=[3/4,1]": { + "floor": "232062734435743958025/18446744073709551616", + "floor_float": 12.580146041408014 + }, + "r=[163/512,41/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "662190039883751120647/18446744073709551616", + "floor_float": 35.89739399201129 + }, + "r=[163/512,41/128],b=[0,1/8],k=[7/4,2]": { + "floor": "162592368317706682609/2305843009213693952", + "floor_float": 70.51319958384836 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "371911745883251802631/9223372036854775808", + "floor_float": 40.322752285949846 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "87082902907341604801/9223372036854775808", + "floor_float": 9.441547251848402 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1693137633501248991911/18446744073709551616", + "floor_float": 91.785175027951 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "102630152766070255219/4611686018427387904", + "floor_float": 22.254366918298516 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1172037482960321633639/18446744073709551616", + "floor_float": 63.536279263001155 + }, + "r=[163/512,41/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2305104230221842131791/18446744073709551616", + "floor_float": 124.95995071060239 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "564214345063034997651/18446744073709551616", + "floor_float": 30.58612093324143 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "66035459304965884381/9223372036854775808", + "floor_float": 7.159578843952213 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1283611336468956836823/18446744073709551616", + "floor_float": 69.58470998133323 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "155702009546445571119/9223372036854775808", + "floor_float": 16.881245701061506 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "888840472690731705861/18446744073709551616", + "floor_float": 48.184138574216696 + }, + "r=[163/512,41/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "873492233168191881291/9223372036854775808", + "floor_float": 94.70421768501684 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "488113382450702270321/18446744073709551616", + "floor_float": 26.460679483614964 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "114241371954226598455/18446744073709551616", + "floor_float": 6.1930371830248525 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "555077179397200750657/9223372036854775808", + "floor_float": 60.18158837995711 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "33676219112276116359/2305843009213693952", + "floor_float": 14.604731969051052 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "768840624210754335489/18446744073709551616", + "floor_float": 41.678933753220555 + }, + "r=[163/512,41/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1510653444136758064921/18446744073709551616", + "floor_float": 81.89268730028914 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "120537610783432210053/2305843009213693952", + "floor_float": 52.27485579104375 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "56457358427733123561/4611686018427387904", + "floor_float": 12.242238132028211 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1098038497491434867669/9223372036854775808", + "floor_float": 119.04957244529328 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "532170621550472164147/18446744073709551616", + "floor_float": 28.849027200899155 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "759876382860491313053/9223372036854775808", + "floor_float": 82.38596251177717 + }, + "r=[163/512,41/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2990775859760886352513/18446744073709551616", + "floor_float": 162.13028422849777 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "649184948614298725573/18446744073709551616", + "floor_float": 35.19238658162566 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "151984331168737300959/18446744073709551616", + "floor_float": 8.239087101845067 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "738659126959607566153/9223372036854775808", + "floor_float": 80.08558301758525 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "358295783370577492465/18446744073709551616", + "floor_float": 19.42325333613879 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "255703923463033734035/4611686018427387904", + "floor_float": 55.44694986633767 + }, + "r=[163/512,41/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2010955880551360069869/18446744073709551616", + "floor_float": 109.01413672331425 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "106084105983562435911/2305843009213693952", + "floor_float": 46.006647269424356 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "198734229172115210981/18446744073709551616", + "floor_float": 10.773404150781971 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "483074688833318617281/4611686018427387904", + "floor_float": 104.75012542116862 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "117092962065972998971/4611686018427387904", + "floor_float": 25.390488770938138 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "668694346856516736849/9223372036854775808", + "floor_float": 72.49998635906108 + }, + "r=[163/512,41/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "328889788022926266061/2305843009213693952", + "floor_float": 142.63320907310148 + }, + "r=[163/512,41/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1091433089417788216337/18446744073709551616", + "floor_float": 59.16670633346659 + }, + "r=[163/512,41/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "63901131510485304829/4611686018427387904", + "floor_float": 13.856349121590018 + }, + "r=[163/512,41/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1243125933232893311829/9223372036854775808", + "floor_float": 134.7799837484173 + }, + "r=[163/512,41/128],b=[7/8,1],k=[3/4,1]": { + "floor": "602295275492233233863/18446744073709551616", + "floor_float": 32.65049230832173 + }, + "r=[163/512,41/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1720315175707978661963/18446744073709551616", + "floor_float": 93.25847254311864 + }, + "r=[163/512,41/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3386543339886643381815/18446744073709551616", + "floor_float": 183.58488231607075 + }, + "r=[165/512,83/256],b=[0,1/8],k=[1,5/4]": { + "floor": "13056523981565441987/576460752303423488", + "floor_float": 22.649458665475745 + }, + "r=[165/512,83/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "48832646420399881655/9223372036854775808", + "floor_float": 5.294446133721404 + }, + "r=[165/512,83/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "475017138725716529997/9223372036854775808", + "floor_float": 51.50146137742701 + }, + "r=[165/512,83/256],b=[0,1/8],k=[3/4,1]": { + "floor": "230549161243972073859/18446744073709551616", + "floor_float": 12.49809507427127 + }, + "r=[165/512,83/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "658059151609874748985/18446744073709551616", + "floor_float": 35.67345808996971 + }, + "r=[165/512,83/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1292437293132753687541/18446744073709551616", + "floor_float": 70.06316605079081 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "184885237888271072795/4611686018427387904", + "floor_float": 40.090595315792555 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "172985404457688158377/18446744073709551616", + "floor_float": 9.377557566065459 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1683458009578704550645/18446744073709551616", + "floor_float": 91.26044156366773 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "204026023302535126319/9223372036854775808", + "floor_float": 22.120545770818673 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1165373413562678833503/18446744073709551616", + "floor_float": 63.17501933707523 + }, + "r=[165/512,83/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2291748486442717060363/18446744073709551616", + "floor_float": 124.23593438957802 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "560823816094092215643/18446744073709551616", + "floor_float": 30.40231998954129 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "131145146829179676789/18446744073709551616", + "floor_float": 7.109392655156354 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "318979511505387594233/4611686018427387904", + "floor_float": 69.16765587050124 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "309455157625497806721/18446744073709551616", + "floor_float": 16.775597709220445 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "220885197312728458511/4611686018427387904", + "floor_float": 47.8968421592699 + }, + "r=[165/512,83/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "868177130978463163617/9223372036854775808", + "floor_float": 94.12795315090821 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "121278288343994372767/4611686018427387904", + "floor_float": 26.298036739576425 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "7089094266804160161/1152921504606846976", + "floor_float": 6.148809124018884 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1103339046496452926327/18446744073709551616", + "floor_float": 59.81212955997696 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "267688348827322016039/18446744073709551616", + "floor_float": 14.511414467382004 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "191038394202779059739/4611686018427387904", + "floor_float": 41.42484840455905 + }, + "r=[165/512,83/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "375312232858307213577/4611686018427387904", + "floor_float": 81.38286764507244 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "479482558310411743543/9223372036854775808", + "floor_float": 51.985603138905596 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "224346769318721522595/18446744073709551616", + "floor_float": 12.16186273427311 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "546018749837922895997/4611686018427387904", + "floor_float": 118.39894295841904 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "8266919330458469143/288230376151711744", + "floor_float": 28.68163807310555 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1511462581054442550399/18446744073709551616", + "floor_float": 81.93655070048872 + }, + "r=[165/512,83/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2974224021533567700739/18446744073709551616", + "floor_float": 161.2330072802634 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "645368294204713327991/18446744073709551616", + "floor_float": 34.98548533150072 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "37734531171459155969/4611686018427387904", + "floor_float": 8.1823721347636 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1468666222397438168303/18446744073709551616", + "floor_float": 79.61655544896908 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "356098731413913843385/18446744073709551616", + "floor_float": 19.304150910914878 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1016865396250188880973/18446744073709551616", + "floor_float": 55.1243835869894 + }, + "r=[165/512,83/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1999015006478565821455/18446744073709551616", + "floor_float": 108.3668206427593 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "843882875937481230845/18446744073709551616", + "floor_float": 45.74698237073663 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "197408422178173379573/18446744073709551616", + "floor_float": 10.701532009625561 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1921497807483837412905/18446744073709551616", + "floor_float": 104.1646048650055 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "58200614020979109811/2305843009213693952", + "floor_float": 25.240492864614342 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1329942481987771920567/18446744073709551616", + "floor_float": 72.0963264125953 + }, + "r=[165/512,83/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2616229056533765821951/18446744073709551616", + "floor_float": 141.82606134068052 + }, + "r=[165/512,83/256],b=[7/8,1],k=[1,5/4]": { + "floor": "135688837597468101597/2305843009213693952", + "floor_float": 58.84565300208308 + }, + "r=[165/512,83/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "253951865690790043703/18446744073709551616", + "floor_float": 13.76675822443508 + }, + "r=[165/512,83/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2472948461295435204891/18446744073709551616", + "floor_float": 134.0588047090598 + }, + "r=[165/512,83/256],b=[7/8,1],k=[3/4,1]": { + "floor": "598863361089783772291/18446744073709551616", + "floor_float": 32.46444785577573 + }, + "r=[165/512,83/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1711124741651008321921/18446744073709551616", + "floor_float": 92.76025811458604 + }, + "r=[165/512,83/256],b=[7/8,1],k=[7/4,2]": { + "floor": "842053488282022485593/4611686018427387904", + "floor_float": 182.5912442688732 + }, + "r=[167/512,21/64],b=[0,1/8],k=[1,5/4]": { + "floor": "415150122835483447193/18446744073709551616", + "floor_float": 22.505333254292758 + }, + "r=[167/512,21/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "96947468886727093453/18446744073709551616", + "floor_float": 5.255532819198018 + }, + "r=[167/512,21/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "471992928397618862429/9223372036854775808", + "floor_float": 51.17357583664935 + }, + "r=[167/512,21/64],b=[0,1/8],k=[3/4,1]": { + "floor": "229030756323881164423/18446744073709551616", + "floor_float": 12.415782178617507 + }, + "r=[167/512,21/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "653907127514945267739/18446744073709551616", + "floor_float": 35.44837641277297 + }, + "r=[167/512,21/64],b=[0,1/8],k=[7/4,2]": { + "floor": "642039122194365922317/9223372036854775808", + "floor_float": 69.61002111038178 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "183808065391401420265/4611686018427387904", + "floor_float": 39.85702076354302 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "10737563751636017745/1152921504606846976", + "floor_float": 9.313351957380299 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "836853689542517642673/9223372036854775808", + "floor_float": 90.73185882545074 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "405572309027410541355/18446744073709551616", + "floor_float": 21.986118927374044 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1158665725984833331917/18446744073709551616", + "floor_float": 62.81139486486252 + }, + "r=[167/512,21/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2278293312406801819239/18446744073709551616", + "floor_float": 123.50652794353253 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "557413371124577000363/18446744073709551616", + "floor_float": 30.217439397286757 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "16277039648290493975/2305843009213693952", + "floor_float": 7.059040699323698 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "634084272314572761267/9223372036854775808", + "floor_float": 68.747554558235 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "153748881663980400403/9223372036854775808", + "floor_float": 16.66948715173043 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "878212932117333374655/18446744073709551616", + "floor_float": 47.608018445323886 + }, + "r=[167/512,21/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "431415764339472525879/4611686018427387904", + "floor_float": 93.5483817882701 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "241050153363037769929/9223372036854775808", + "floor_float": 26.13470999541696 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "56303782072709520407/9223372036854775808", + "floor_float": 6.104468284238206 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "548243922325398339199/9223372036854775808", + "floor_float": 59.440725163717104 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "265958929192478315947/18446744073709551616", + "floor_float": 14.417662441120171 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "759434007518985890747/18446744073709551616", + "floor_float": 41.16900004057287 + }, + "r=[167/512,21/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1491768481698733720413/18446744073709551616", + "floor_float": 80.86893143515847 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "119199802236809511205/2305843009213693952", + "floor_float": 51.694673817996545 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "111429433123066986503/9223372036854775808", + "floor_float": 12.081203347085745 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1085992476150769555435/9223372036854775808", + "floor_float": 117.74354019455767 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "525980633715501330443/18446744073709551616", + "floor_float": 28.513467287982444 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "751561407839608423235/9223372036854775808", + "floor_float": 81.48445111359676 + }, + "r=[167/512,21/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2957555679973155525577/18446744073709551616", + "floor_float": 160.32941467368693 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "160382459603247742065/4611686018427387904", + "floor_float": 34.77740222608197 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "149888305343925396927/18446744073709551616", + "floor_float": 8.125461314202727 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "729979519901849126841/9223372036854775808", + "floor_float": 79.14453813475103 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "353890792955204240877/18446744073709551616", + "floor_float": 19.184458327232516 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "252719085089873971083/4611686018427387904", + "floor_float": 54.799716216598085 + }, + "r=[167/512,21/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "496745797204020038185/4611686018427387904", + "floor_float": 107.71457450032847 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "839067726689026271609/18446744073709551616", + "floor_float": 45.48595260693579 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "98039221550018898613/9223372036854775808", + "floor_float": 10.629433699331818 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "955311731466140851103/9223372036854775808", + "floor_float": 103.57510546564788 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "115706210803268162965/4611686018427387904", + "floor_float": 25.089785024593816 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1322445635528768723857/18446744073709551616", + "floor_float": 71.68992155171323 + }, + "r=[167/512,21/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "40644064721648132319/288230376151711744", + "floor_float": 141.01242646352753 + }, + "r=[167/512,21/64],b=[7/8,1],k=[1,5/4]": { + "floor": "67472122977491653567/1152921504606846976", + "floor_float": 58.52273785152446 + }, + "r=[167/512,21/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "126146319618160694607/9223372036854775808", + "floor_float": 13.676811378106063 + }, + "r=[167/512,21/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2459555127388266221297/18446744073709551616", + "floor_float": 133.332750623111 + }, + "r=[167/512,21/64],b=[7/8,1],k=[3/4,1]": { + "floor": "595414083305488917917/18446744073709551616", + "floor_float": 32.27746213241381 + }, + "r=[167/512,21/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1701873724173424619021/18446744073709551616", + "floor_float": 92.25875945224115 + }, + "r=[167/512,21/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1674870332772448173261/9223372036854775808", + "floor_float": 181.5898053423408 + }, + "r=[169/512,85/256],b=[0,1/8],k=[1,5/4]": { + "floor": "412481776733372637667/18446744073709551616", + "floor_float": 22.36068192225017 + }, + "r=[169/512,85/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "24057167528558829605/4611686018427387904", + "floor_float": 5.216566659662243 + }, + "r=[169/512,85/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "937899347681883185479/18446744073709551616", + "floor_float": 50.84362551647176 + }, + "r=[169/512,85/256],b=[0,1/8],k=[3/4,1]": { + "floor": "227505065430786915253/18446744073709551616", + "floor_float": 12.3330743095758 + }, + "r=[169/512,85/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "649728303994241959471/18446744073709551616", + "floor_float": 35.22184193579397 + }, + "r=[169/512,85/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1275657552896775588185/18446744073709551616", + "floor_float": 69.15353450991132 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "5710180568199164487/144115188075855872", + "floor_float": 39.6223371348867 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "10663350329286017043/1152921504606846976", + "floor_float": 9.248982074388735 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1663890515756034288009/18446744073709551616", + "floor_float": 90.19968559803594 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "403080342902252402345/18446744073709551616", + "floor_float": 21.851029173041205 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "287978655999469678951/4611686018427387904", + "floor_float": 62.445416892816155 + }, + "r=[169/512,85/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2264736919345743520551/18446744073709551616", + "floor_float": 122.77163440313919 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "276993483863772878929/9223372036854775808", + "floor_float": 30.03169369694311 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "64642361416979140673/9223372036854775808", + "floor_float": 7.008538868288194 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "630190160577645583483/9223372036854775808", + "floor_float": 68.32535411772723 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "305531455476834737573/18446744073709551616", + "floor_float": 16.56289338953212 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "436424263332228316419/9223372036854775808", + "floor_float": 47.31721344301878 + }, + "r=[169/512,85/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "428721655699603119131/4611686018427387904", + "floor_float": 92.96419010021843 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "59883681236151876487/2305843009213693952", + "floor_float": 25.97040691706612 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "55893486613506699213/9223372036854775808", + "floor_float": 6.059983961415342 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1089586700565894785853/18446744073709551616", + "floor_float": 59.0666133932428 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "264224031651145527395/18446744073709551616", + "floor_float": 14.323613456952533 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "377347889247459878911/9223372036854775808", + "floor_float": 40.91214013049155 + }, + "r=[169/512,85/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "741114699986320010587/9223372036854775808", + "floor_float": 80.3518167786111 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "29631372784616988979/576460752303423488", + "floor_float": 51.402237994895344 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "110682986431798871529/9223372036854775808", + "floor_float": 12.000273434653995 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2159821564123729265087/18446744073709551616", + "floor_float": 117.08416160019938 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "261431762979389070405/9223372036854775808", + "floor_float": 28.34448853789691 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "373681396387494096333/4611686018427387904", + "floor_float": 81.0292363561476 + }, + "r=[169/512,85/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "735188688582612165539/4611686018427387904", + "floor_float": 159.41863466960743 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "79708746798841722389/2305843009213693952", + "floor_float": 34.56815857816048 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "37208752299917267699/4611686018427387904", + "floor_float": 8.068362015809063 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "181398761195786778389/2305843009213693952", + "floor_float": 78.66917238986049 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "175836722060421557791/9223372036854775808", + "floor_float": 19.064255606063888 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1004849301465049215935/18446744073709551616", + "floor_float": 54.472989783447396 + }, + "r=[169/512,85/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1974877409694691046625/18446744073709551616", + "floor_float": 107.05831889917648 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "208555861680467832673/4611686018427387904", + "floor_float": 45.22334366370992 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "3042870118162497889/288230376151711744", + "floor_float": 10.557076456649613 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "29682346629502813639/288230376151711744", + "floor_float": 102.98132704055917 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "230016828922509096251/9223372036854775808", + "floor_float": 24.938474562601098 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1314908384244806257069/18446744073709551616", + "floor_float": 71.28132634088117 + }, + "r=[169/512,85/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "646526290837814375403/4611686018427387904", + "floor_float": 140.1930418190707 + }, + "r=[169/512,85/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1073563253366913025219/18446744073709551616", + "floor_float": 58.197980580050654 + }, + "r=[169/512,85/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "250626621463382542903/18446744073709551616", + "floor_float": 13.586496373665076 + }, + "r=[169/512,85/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2446063986484686472749/18446744073709551616", + "floor_float": 132.60139440926253 + }, + "r=[169/512,85/256],b=[7/8,1],k=[3/4,1]": { + "floor": "295974108076491432101/9223372036854775808", + "floor_float": 32.08957709759915 + }, + "r=[169/512,85/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1692565214001286214045/18446744073709551616", + "floor_float": 91.75414410467936 + }, + "r=[169/512,85/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3331140974955757663663/18446744073709551616", + "floor_float": 180.5815140951257 + }, + "r=[17/128,69/512],b=[0,1/8],k=[1,5/4]": { + "floor": "131597231863197024103/4611686018427387904", + "floor_float": 28.535600935831372 + }, + "r=[17/128,69/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "128714940495118881395/18446744073709551616", + "floor_float": 6.977650905807516 + }, + "r=[17/128,69/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "297341275641426966059/4611686018427387904", + "floor_float": 64.47561140400926 + }, + "r=[17/128,69/512],b=[0,1/8],k=[3/4,1]": { + "floor": "73541301029646696197/4611686018427387904", + "floor_float": 15.946727668750682 + }, + "r=[17/128,69/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "824937256485130603839/18446744073709551616", + "floor_float": 44.71993828227052 + }, + "r=[17/128,69/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1619219735801597519989/18446744073709551616", + "floor_float": 87.77807776437483 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "914643917474119502937/18446744073709551616", + "floor_float": 49.58294611880464 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "223797880398014068155/18446744073709551616", + "floor_float": 12.132107406258896 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2066820751421101926961/18446744073709551616", + "floor_float": 112.04257744144407 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "511223590659759812831/18446744073709551616", + "floor_float": 27.71348638095759 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1433403500539468430939/18446744073709551616", + "floor_float": 77.70495946666092 + }, + "r=[17/128,69/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1407109062861252256227/9223372036854775808", + "floor_float": 152.55907028782119 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "349884483647230832041/9223372036854775808", + "floor_float": 37.93455172892966 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "171175670167471921061/18446744073709551616", + "floor_float": 9.27945167361176 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1581164528789843454787/18446744073709551616", + "floor_float": 85.71510085854835 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "195543984093318550305/9223372036854775808", + "floor_float": 21.20092123704469 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1096644489657223036301/18446744073709551616", + "floor_float": 59.44921690653093 + }, + "r=[17/128,69/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1076391155528563156381/9223372036854775808", + "floor_float": 116.70256292682507 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "304096055952471249645/9223372036854775808", + "floor_float": 32.97016045079428 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "37187442255163280693/4611686018427387904", + "floor_float": 8.063741136445454 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "343553175020367134029/4611686018427387904", + "floor_float": 74.49621974427495 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "84974043367839440821/4611686018427387904", + "floor_float": 18.425808484857797 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "953134377080764295797/18446744073709551616", + "floor_float": 51.66951811507913 + }, + "r=[17/128,69/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1870941089712452470045/18446744073709551616", + "floor_float": 101.4239197029319 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1176456716085664418047/18446744073709551616", + "floor_float": 63.77584637076198 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "287845344694071661697/18446744073709551616", + "floor_float": 15.604127402857568 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1329350939587641035149/9223372036854775808", + "floor_float": 144.1285176696567 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "82189133276576126333/2305843009213693952", + "floor_float": 35.6438547412658 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1843795951956689571331/18446744073709551616", + "floor_float": 99.95237883657109 + }, + "r=[17/128,69/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1810193466575437228813/9223372036854775808", + "floor_float": 196.26156890801553 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "200412567309672365993/4611686018427387904", + "floor_float": 43.45754817410883 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "196135536660946721385/18446744073709551616", + "floor_float": 10.632528747470436 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1811427218971391503445/18446744073709551616", + "floor_float": 98.1976663054079 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "448051047639841895691/18446744073709551616", + "floor_float": 24.28889596177614 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1256313145210325110733/18446744073709551616", + "floor_float": 68.10487206795658 + }, + "r=[17/128,69/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "616594976087254259347/4611686018427387904", + "floor_float": 133.70272252348974 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "259845658149946894901/4611686018427387904", + "floor_float": 56.34504541541963 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "254313477410702113539/18446744073709551616", + "floor_float": 13.786361235051324 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2348782894957665263965/18446744073709551616", + "floor_float": 127.32777587049465 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "36307765355875369831/1152921504606846976", + "floor_float": 31.491966461547207 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1628909659795384478881/18446744073709551616", + "floor_float": 88.30336959663899 + }, + "r=[17/128,69/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3198254613475114291627/18446744073709551616", + "floor_float": 173.3777300045753 + }, + "r=[17/128,69/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1326615483125235125451/18446744073709551616", + "floor_float": 71.91596944286435 + }, + "r=[17/128,69/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "324578790121084118969/18446744073709551616", + "floor_float": 17.595451469599798 + }, + "r=[17/128,69/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1499158730183627053603/9223372036854775808", + "floor_float": 162.53911521656985 + }, + "r=[17/128,69/512],b=[7/8,1],k=[3/4,1]": { + "floor": "370711153993296218715/9223372036854775808", + "floor_float": 40.19258385241402 + }, + "r=[17/128,69/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2079233095120147946205/18446744073709551616", + "floor_float": 112.7154519416512 + }, + "r=[17/128,69/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2041492034152711130857/9223372036854775808", + "floor_float": 221.3390098540221 + }, + "r=[17/64,137/512],b=[0,1/8],k=[1,5/4]": { + "floor": "56831428387901664745/2305843009213693952", + "floor_float": 24.64670324944694 + }, + "r=[17/64,137/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "53904667397461179871/9223372036854775808", + "floor_float": 5.844355749943595 + }, + "r=[17/64,137/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "258284559928803552765/4611686018427387904", + "floor_float": 56.006536198854256 + }, + "r=[17/64,137/512],b=[0,1/8],k=[3/4,1]": { + "floor": "125898729155944876005/9223372036854775808", + "floor_float": 13.649967566403955 + }, + "r=[17/64,137/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "715418923528728917023/18446744073709551616", + "floor_float": 38.78293755635444 + }, + "r=[17/64,137/512],b=[0,1/8],k=[7/4,2]": { + "floor": "703463033692470256643/9223372036854775808", + "floor_float": 76.26961493926198 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "799156940832532157513/18446744073709551616", + "floor_float": 43.32238457037506 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "189666821126508451065/18446744073709551616", + "floor_float": 10.281858975689001 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1816961768177892950853/18446744073709551616", + "floor_float": 98.49769481907875 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "221320786637613476145/9223372036854775808", + "floor_float": 23.995647768870132 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1257745980721635220749/18446744073709551616", + "floor_float": 68.18254623666542 + }, + "r=[17/64,137/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2475368818386068935799/18446744073709551616", + "floor_float": 134.1900125298526 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "304027337936788637795/9223372036854775808", + "floor_float": 32.96271002860509 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "18031371336201973133/2305843009213693952", + "floor_float": 7.819860790241213 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "345531825101833897719/4611686018427387904", + "floor_float": 74.92527108765793 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "10524333136727464871/576460752303423488", + "floor_float": 18.25680776128176 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "956896781834580760055/18446744073709551616", + "floor_float": 51.87347848547201 + }, + "r=[17/64,137/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "235315706726499808429/2305843009213693952", + "floor_float": 102.05192018113317 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "16466002038253745951/576460752303423488", + "floor_float": 28.56396029124073 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "124977936487141462353/18446744073709551616", + "floor_float": 6.775067512605708 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "299371366280037069763/4611686018427387904", + "floor_float": 64.91581714015398 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "291834394645104356007/18446744073709551616", + "floor_float": 15.82037423401071 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "103643810852849529057/2305843009213693952", + "floor_float": 44.948337956534466 + }, + "r=[17/64,137/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "815434255266342554713/9223372036854775808", + "floor_float": 88.40955910788679 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "516567436124140743427/9223372036854775808", + "floor_float": 56.00635364810604 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "245272431103443124221/18446744073709551616", + "floor_float": 13.296245132657711 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1174743575581457397165/9223372036854775808", + "floor_float": 127.36595367588055 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "572252183908825535789/18446744073709551616", + "floor_float": 31.021853050176155 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "813063039512316890129/9223372036854775808", + "floor_float": 88.15247138069215 + }, + "r=[17/64,137/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1600737465863421667533/9223372036854775808", + "floor_float": 173.55230380680626 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "174632763014529284315/4611686018427387904", + "floor_float": 37.86744420949978 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "41437814525133593669/4611686018427387904", + "floor_float": 8.985393706240247 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1587987056316786041253/18446744073709551616", + "floor_float": 86.08495081687603 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "193449855862151552675/9223372036854775808", + "floor_float": 20.97387539927524 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "274832005036644293023/4611686018427387904", + "floor_float": 59.59469138585537 + }, + "r=[17/64,137/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2163173957816094662735/18446744073709551616", + "floor_float": 117.26589522641383 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "455249146613482663305/9223372036854775808", + "floor_float": 49.35821137805098 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "108063079772959653603/9223372036854775808", + "floor_float": 11.716222585531723 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "258795218149464727885/2305843009213693952", + "floor_float": 112.23453509860389 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "504316963634956488639/18446744073709551616", + "floor_float": 27.339077379715647 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1433042281595543142419/18446744073709551616", + "floor_float": 77.6853777484736 + }, + "r=[17/64,137/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "705216974597691987219/4611686018427387904", + "floor_float": 152.91955518649448 + }, + "r=[17/64,137/512],b=[7/8,1],k=[1,5/4]": { + "floor": "291952209124038204069/4611686018427387904", + "floor_float": 63.30704387884491 + }, + "r=[17/64,137/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "277231357038763898581/18446744073709551616", + "floor_float": 15.028741979126618 + }, + "r=[17/64,137/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "166008370050521199753/1152921504606846976", + "floor_float": 143.9893083676421 + }, + "r=[17/64,137/512],b=[7/8,1],k=[3/4,1]": { + "floor": "646844529673708946197/18446744073709551616", + "floor_float": 35.065512216629976 + }, + "r=[17/64,137/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1838208937010067224029/18446744073709551616", + "floor_float": 99.64950614942923 + }, + "r=[17/64,137/512],b=[7/8,1],k=[7/4,2]": { + "floor": "904917895675491556817/4611686018427387904", + "floor_float": 196.2227896824758 + }, + "r=[171/512,43/128],b=[0,1/8],k=[1,5/4]": { + "floor": "409800020896779274125/18446744073709551616", + "floor_float": 22.21530364704466 + }, + "r=[171/512,43/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "95507823387601115043/18446744073709551616", + "floor_float": 5.17748948030995 + }, + "r=[171/512,43/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "232944685869626755435/4611686018427387904", + "floor_float": 50.51182689776054 + }, + "r=[171/512,43/128],b=[0,1/8],k=[3/4,1]": { + "floor": "225972880308280862781/18446744073709551616", + "floor_float": 12.250014387652248 + }, + "r=[171/512,43/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "645522639467544018813/18446744073709551616", + "floor_float": 34.993852404964414 + }, + "r=[171/512,43/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1267179318426817856567/18446744073709551616", + "floor_float": 68.69392849835283 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "726550541278257297929/18446744073709551616", + "floor_float": 39.38638376372029 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "1323611276955459679/144115188075855872", + "floor_float": 9.1843982208091 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "103375645627628545401/1152921504606846976", + "floor_float": 89.66407965725321 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "200287624937811502777/9223372036854775808", + "floor_float": 21.715227807953713 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1145119870650989047855/18446744073709551616", + "floor_float": 62.077072575806106 + }, + "r=[171/512,43/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2251086723532439873179/18446744073709551616", + "floor_float": 122.03165580535737 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "550540196780885073191/18446744073709551616", + "floor_float": 29.844843869521636 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "32087624441251181045/4611686018427387904", + "floor_float": 6.9578944258207 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "313133831259078777521/4611686018427387904", + "floor_float": 67.90007602596052 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "9486180128713786355/576460752303423488", + "floor_float": 16.455899366624493 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "867461765576078482085/18446744073709551616", + "floor_float": 47.025196539284785 + }, + "r=[171/512,43/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "852020127898216113797/9223372036854775808", + "floor_float": 92.37620736686233 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "476026381315194515353/18446744073709551616", + "floor_float": 25.80544183911735 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "110965048511058759125/18446744073709551616", + "floor_float": 6.015427333282465 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "541317740972829505283/9223372036854775808", + "floor_float": 58.68978707676873 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "262480797919755025071/18446744073709551616", + "floor_float": 14.229112567016353 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "749927332527772845695/18446744073709551616", + "floor_float": 40.65364215664353 + }, + "r=[171/512,43/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1472628354978398803091/18446744073709551616", + "floor_float": 79.83134308656673 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "471388475262032305623/9223372036854775808", + "floor_float": 51.108040896372486 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "219867942192234338137/18446744073709551616", + "floor_float": 11.919065029236888 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2147568467101534172823/18446744073709551616", + "floor_float": 116.41991987964239 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "519733560077977600889/18446744073709551616", + "floor_float": 28.174812747508437 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1486284748458938985955/18446744073709551616", + "floor_float": 80.57165766056265 + }, + "r=[171/512,43/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1461914500989247231791/9223372036854775808", + "floor_float": 158.5010877960604 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "316894783021395586007/9223372036854775808", + "floor_float": 34.357801220111966 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "73889150029822396555/9223372036854775808", + "floor_float": 8.011077698544081 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "90148270469143535023/1152921504606846976", + "floor_float": 78.191160550765 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "349446858976013666453/18446744073709551616", + "floor_float": 18.943552183501485 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "124847507709655420895/2305843009213693952", + "floor_float": 54.14397563528367 + }, + "r=[171/512,43/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1962675342934362140287/18446744073709551616", + "floor_float": 106.39684353465839 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "414677195997799440509/9223372036854775808", + "floor_float": 44.95939167810115 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "193406020741981474847/18446744073709551616", + "floor_float": 10.484561393011642 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1888636983298971159411/18446744073709551616", + "floor_float": 102.3832160164607 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "228614377478256351211/9223372036854775808", + "floor_float": 24.786420472334672 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1307322926423470715937/18446744073709551616", + "floor_float": 70.87011784842171 + }, + "r=[171/512,43/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1285441909493785221879/9223372036854775808", + "floor_float": 139.3678910877077 + }, + "r=[171/512,43/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1067539872456024101335/18446744073709551616", + "floor_float": 57.871452446585984 + }, + "r=[171/512,43/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "124477325240559119191/9223372036854775808", + "floor_float": 13.495858645099892 + }, + "r=[171/512,43/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2432490874467273898893/18446744073709551616", + "floor_float": 131.86559453242913 + }, + "r=[171/512,43/128],b=[7/8,1],k=[3/4,1]": { + "floor": "588466331879929942783/18446744073709551616", + "floor_float": 31.900823772939795 + }, + "r=[171/512,43/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1683193503763666763681/18446744073709551616", + "floor_float": 91.24610267470278 + }, + "r=[171/512,43/128],b=[7/8,1],k=[7/4,2]": { + "floor": "414049194540210770651/2305843009213693952", + "floor_float": 179.56521449454792 + }, + "r=[173/512,87/256],b=[0,1/8],k=[1,5/4]": { + "floor": "407102955390201735957/18446744073709551616", + "floor_float": 22.069095432966307 + }, + "r=[173/512,87/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "94784891273912134261/18446744073709551616", + "floor_float": 5.138299251898894 + }, + "r=[173/512,87/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "462809067189821785431/9223372036854775808", + "floor_float": 50.177859609319455 + }, + "r=[173/512,87/256],b=[0,1/8],k=[3/4,1]": { + "floor": "56109271611486521843/4611686018427387904", + "floor_float": 12.166758835550585 + }, + "r=[173/512,87/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "641294590908182581099/18446744073709551616", + "floor_float": 34.76464943329272 + }, + "r=[173/512,87/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1258640562993024024017/18446744073709551616", + "floor_float": 68.23104163877075 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "722172827575654362609/18446744073709551616", + "floor_float": 39.149067428376206 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "168227014871662882541/18446744073709551616", + "floor_float": 9.119604749730408 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1644065919002734471733/18446744073709551616", + "floor_float": 89.1249920546071 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "199030835146718641501/9223372036854775808", + "floor_float": 21.578966385767664 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "284571422482216857911/4611686018427387904", + "floor_float": 61.706590896501964 + }, + "r=[173/512,87/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2237329602404757098485/18446744073709551616", + "floor_float": 121.28588077466837 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "273540183829672655135/9223372036854775808", + "floor_float": 29.657286157021534 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "127414120514314382901/18446744073709551616", + "floor_float": 6.907133313347477 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "622317776971404285891/9223372036854775808", + "floor_float": 67.47182857687461 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "301574657581083529935/18446744073709551616", + "floor_float": 16.348394945799143 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "215509982145784439887/4611686018427387904", + "floor_float": 46.731278166954354 + }, + "r=[173/512,87/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1693128257526617482451/18446744073709551616", + "floor_float": 91.78466675534777 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "472968513728200183161/18446744073709551616", + "floor_float": 25.639674505067738 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "110140544965036085715/18446744073709551616", + "floor_float": 5.970730906491475 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "67228444032406595205/1152921504606846976", + "floor_float": 58.3113800582043 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "130365263318337774697/9223372036854775808", + "floor_float": 14.134230170638666 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "372564226462726635533/9223372036854775808", + "floor_float": 40.393494372126966 + }, + "r=[173/512,87/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1462954256568652772029/18446744073709551616", + "floor_float": 79.30690916093246 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "117165390652180584445/2305843009213693952", + "floor_float": 50.8123884340828 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "218365940229521903335/18446744073709551616", + "floor_float": 11.837641339684373 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2135218710363853106867/18446744073709551616", + "floor_float": 115.75043822540933 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "32286757487503417993/1152921504606846976", + "floor_float": 28.004298088371065 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1477789341299767472651/18446744073709551616", + "floor_float": 80.11112071565653 + }, + "r=[173/512,87/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2906794230045097167407/18446744073709551616", + "floor_float": 157.57763095916118 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "629887351865952923965/18446744073709551616", + "floor_float": 34.14626176571038 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "36679701434011091033/4611686018427387904", + "floor_float": 7.953642396174899 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1433490664809442283337/18446744073709551616", + "floor_float": 77.70968465120437 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "347210490009913382847/18446744073709551616", + "floor_float": 18.82231837892523 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "992681223129688592523/18446744073709551616", + "floor_float": 53.813356935138806 + }, + "r=[173/512,87/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1950399959517924385025/18446744073709551616", + "floor_float": 105.73139366624868 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "824461331799768063279/18446744073709551616", + "floor_float": 44.69413835338004 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "48015947748796218473/4611686018427387904", + "floor_float": 10.411798972639065 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "938769725143244583529/9223372036854775808", + "floor_float": 101.78161754639257 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "227205287325304306509/9223372036854775808", + "floor_float": 24.633646611828816 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "324921752009506374097/4611686018427387904", + "floor_float": 70.45617388330062 + }, + "r=[173/512,87/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "638886751029766140711/4611686018427387904", + "floor_float": 138.5364806877356 + }, + "r=[173/512,87/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1061480725484681787067/18446744073709551616", + "floor_float": 57.54298543109907 + }, + "r=[173/512,87/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "247277328255130068475/18446744073709551616", + "floor_float": 13.404930825031162 + }, + "r=[173/512,87/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "37794033928822643079/288230376151711744", + "floor_float": 131.1243958163852 + }, + "r=[173/512,87/256],b=[7/8,1],k=[3/4,1]": { + "floor": "584968641077398037453/18446744073709551616", + "floor_float": 31.71121357460041 + }, + "r=[173/512,87/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1673773372326164004769/18446744073709551616", + "floor_float": 90.7354363262208 + }, + "r=[173/512,87/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3293512188572792393495/18446744073709551616", + "floor_float": 178.5416534979055 + }, + "r=[175/512,11/32],b=[0,1/8],k=[1,5/4]": { + "floor": "404394208367318399571/18446744073709551616", + "floor_float": 21.92225396262012 + }, + "r=[175/512,11/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "47030269826727685285/9223372036854775808", + "floor_float": 5.099032071871762 + }, + "r=[175/512,11/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "57463580173134725979/1152921504606846976", + "floor_float": 49.8417107700061 + }, + "r=[175/512,11/32],b=[0,1/8],k=[3/4,1]": { + "floor": "222894197850641335513/18446744073709551616", + "floor_float": 12.08311867720396 + }, + "r=[175/512,11/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "637046617507384498653/18446744073709551616", + "floor_float": 34.534366333802424 + }, + "r=[175/512,11/32],b=[0,1/8],k=[7/4,2]": { + "floor": "625028432676255830353/9223372036854775808", + "floor_float": 67.76571845728064 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "717773601800820175745/18446744073709551616", + "floor_float": 38.91058492125973 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "167028417759417854859/18446744073709551616", + "floor_float": 9.054628670078863 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "408512680450623669545/4611686018427387904", + "floor_float": 88.58206712648857 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "395536276806230421227/18446744073709551616", + "floor_float": 21.442064530507142 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "565705893373018753801/9223372036854775808", + "floor_float": 61.33395585828801 + }, + "r=[175/512,11/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1111748636814417503649/9223372036854775808", + "floor_float": 120.53602872919895 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "271801352675915063833/9223372036854775808", + "floor_float": 29.46876170557259 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "31618712332385672827/4611686018427387904", + "floor_float": 6.856215320393352 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "309175162159185955917/4611686018427387904", + "floor_float": 67.04167649830951 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "37448085227513840105/2305843009213693952", + "floor_float": 16.240518143637132 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "856585237403808177617/18446744073709551616", + "floor_float": 46.43557876561102 + }, + "r=[175/512,11/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1682136718091173901327/18446744073709551616", + "floor_float": 91.18881420860437 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "234947045283834144069/9223372036854775808", + "floor_float": 25.473009691578316 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "109313714616445322557/18446744073709551616", + "floor_float": 5.925908343480523 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "33394544212491014423/576460752303423488", + "floor_float": 57.93029981495358 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "64743904056026682813/4611686018427387904", + "floor_float": 14.039096286547439 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "740302098121587668725/18446744073709551616", + "floor_float": 40.13185715395012 + }, + "r=[175/512,11/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "181652610301324706569/2305843009213693952", + "floor_float": 78.7792618905436 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "465920719217108618267/9223372036854775808", + "floor_float": 50.51522559811979 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "216858862875714481399/18446744073709551616", + "floor_float": 11.755942512629288 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2122791797245363415571/18446744073709551616", + "floor_float": 115.07677391539157 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "128357028289807562493/4611686018427387904", + "floor_float": 27.832993785118543 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1469241165453259502473/18446744073709551616", + "floor_float": 79.64772317447792 + }, + "r=[175/512,11/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1444813601479210079249/9223372036854775808", + "floor_float": 156.64700455603653 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "625969542300027519999/18446744073709551616", + "floor_float": 33.93387688357234 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "145656553088316294829/18446744073709551616", + "floor_float": 7.896057564755137 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "712276936835914922939/9223372036854775808", + "floor_float": 77.22522023288194 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "344963622784799902023/18446744073709551616", + "floor_float": 18.700515462587507 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "7707368447458753741/144115188075855872", + "floor_float": 53.480611935238464 + }, + "r=[175/512,11/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1938042506754497386107/18446744073709551616", + "floor_float": 105.06149480962395 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "204885135882287162261/4611686018427387904", + "floor_float": 44.4273818867127 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "47679351794622432717/4611686018427387904", + "floor_float": 10.338811359686055 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "466591722773913975427/4611686018427387904", + "floor_float": 101.17595189904635 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "451582248907072428061/18446744073709551616", + "floor_float": 24.480322766046886 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "646004050863280592183/9223372036854775808", + "floor_float": 70.03989953804052 + }, + "r=[175/512,11/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2540104082397595599751/18446744073709551616", + "floor_float": 137.6993182237386 + }, + "r=[175/512,11/32],b=[7/8,1],k=[1,5/4]": { + "floor": "1055393336275576840537/18446744073709551616", + "floor_float": 57.212987400835246 + }, + "r=[175/512,11/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "30699346846964413461/2305843009213693952", + "floor_float": 13.313719418145935 + }, + "r=[175/512,11/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2405051118982585481819/18446744073709551616", + "floor_float": 130.37808240698064 + }, + "r=[175/512,11/32],b=[7/8,1],k=[3/4,1]": { + "floor": "145363503139222069007/4611686018427387904", + "floor_float": 31.5206851807296 + }, + "r=[175/512,11/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1664291579842387226261/18446744073709551616", + "floor_float": 90.22142732572243 + }, + "r=[175/512,11/32],b=[7/8,1],k=[7/4,2]": { + "floor": "3274504792708921577419/18446744073709551616", + "floor_float": 177.51126050346045 + }, + "r=[177/512,89/256],b=[0,1/8],k=[1,5/4]": { + "floor": "200835568956222474191/9223372036854775808", + "floor_float": 21.774636017469874 + }, + "r=[177/512,89/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "46667489519365920533/9223372036854775808", + "floor_float": 5.059699352134104 + }, + "r=[177/512,89/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "913188270601544310943/18446744073709551616", + "floor_float": 49.50403534372375 + }, + "r=[177/512,89/256],b=[0,1/8],k=[3/4,1]": { + "floor": "27668312021797947591/2305843009213693952", + "floor_float": 11.999217601216055 + }, + "r=[177/512,89/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "316386422171832925785/9223372036854775808", + "floor_float": 34.302684626361724 + }, + "r=[177/512,89/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1241411444059488804647/18446744073709551616", + "floor_float": 67.29704922988326 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "713352182252270364033/18446744073709551616", + "floor_float": 38.67089928725935 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "165826540091019542721/18446744073709551616", + "floor_float": 8.9894747511219 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1623982260297478500359/18446744073709551616", + "floor_float": 88.0362547346223 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "393000970334179331629/18446744073709551616", + "floor_float": 21.304625291261427 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "70281006061529978331/1152921504606846976", + "floor_float": 60.95905556510217 + }, + "r=[177/512,89/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2209565304255812618685/18446744073709551616", + "floor_float": 119.78077515613734 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "540107121459233086917/18446744073709551616", + "floor_float": 29.279265723049637 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "62766510940777818867/9223372036854775808", + "floor_float": 6.805158752132649 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "153589381312387847565/2305843009213693952", + "floor_float": 66.60877635583817 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "74397011637077118043/4611686018427387904", + "floor_float": 16.132280328669673 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "851100518393779133397/18446744073709551616", + "floor_float": 46.13825155230372 + }, + "r=[177/512,89/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "208884056310819812233/2305843009213693952", + "floor_float": 90.58901905991011 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "466804096735029438743/18446744073709551616", + "floor_float": 25.305500790262624 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "27121364335354623959/4611686018427387904", + "floor_float": 5.881008426632472 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1061558054129360865253/18446744073709551616", + "floor_float": 57.547177425326886 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "32151715484080563829/2305843009213693952", + "floor_float": 13.943583910790391 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "735454560921273711789/18446744073709551616", + "floor_float": 39.86907163576089 + }, + "r=[177/512,89/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "360855123616333574793/4611686018427387904", + "floor_float": 78.24798179547082 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "926330956488161336551/18446744073709551616", + "floor_float": 50.21650177325199 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "215346216332932411887/18446744073709551616", + "floor_float": 11.673941779234937 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "527571244772361532979/4611686018427387904", + "floor_float": 114.39877794461523 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "510257132198873996677/18446744073709551616", + "floor_float": 27.66109456281212 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1460639235870260618299/18446744073709551616", + "floor_float": 79.18141163740519 + }, + "r=[177/512,89/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2872351688678181341421/18446744073709551616", + "floor_float": 155.71049705036458 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "155507598123224682481/4611686018427387904", + "floor_float": 33.72033514464059 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "144591142623081211405/18446744073709551616", + "floor_float": 7.838301547705304 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1415571109547231088129/18446744073709551616", + "floor_float": 76.7382636139412 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "85677593182831494169/4611686018427387904", + "floor_float": 18.57836653243103 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "490183116463124183721/9223372036854775808", + "floor_float": 53.14575997850343 + }, + "r=[177/512,89/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "962800734565848155013/9223372036854775808", + "floor_float": 104.38706480869321 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "407297810623640134347/9223372036854775808", + "floor_float": 44.15931711267402 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "189366720228519817011/18446744073709551616", + "floor_float": 10.265590473410795 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "231890339540079836713/2305843009213693952", + "floor_float": 100.56640396310233 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "56092736643582907521/2305843009213693952", + "floor_float": 24.32634677185194 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "642140176383751507141/9223372036854775808", + "floor_float": 69.62097742754884 + }, + "r=[177/512,89/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2524560629050967401227/18446744073709551616", + "floor_float": 136.85670592942154 + }, + "r=[177/512,89/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1049273414154927692223/18446744073709551616", + "floor_float": 56.881225757902754 + }, + "r=[177/512,89/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "60976667612615425649/4611686018427387904", + "floor_float": 13.222207099304828 + }, + "r=[177/512,89/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "298900139340269448447/2305843009213693952", + "floor_float": 129.62727217157604 + }, + "r=[177/512,89/256],b=[7/8,1],k=[3/4,1]": { + "floor": "144481198907017633283/4611686018427387904", + "floor_float": 31.32936594765976 + }, + "r=[177/512,89/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1654750174555926949343/18446744073709551616", + "floor_float": 89.70418670871518 + }, + "r=[177/512,89/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3255363042198642517097/18446744073709551616", + "floor_float": 176.47358412903947 + }, + "r=[179/512,45/128],b=[0,1/8],k=[1,5/4]": { + "floor": "199467188723068403475/9223372036854775808", + "floor_float": 21.626275935312687 + }, + "r=[179/512,45/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "92608329812974171119/18446744073709551616", + "floor_float": 5.020307618674035 + }, + "r=[179/512,45/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "226729445473878556895/4611686018427387904", + "floor_float": 49.164111469842574 + }, + "r=[179/512,45/128],b=[0,1/8],k=[3/4,1]": { + "floor": "109896103356709407599/9223372036854775808", + "floor_float": 11.914959400703587 + }, + "r=[179/512,45/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "628484159311783113101/18446744073709551616", + "floor_float": 34.07019454492806 + }, + "r=[179/512,45/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1232702380021618595421/18446744073709551616", + "floor_float": 66.82492992237454 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "708906178568338260155/18446744073709551616", + "floor_float": 38.429880944609465 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "82311011354377529087/9223372036854775808", + "floor_float": 8.924177732989515 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "806926450581567467837/9223372036854775808", + "floor_float": 87.48714107565525 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "390455742011934968019/18446744073709551616", + "floor_float": 21.166648187438977 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "279385834992491847685/4611686018427387904", + "floor_float": 60.58214585210727 + }, + "r=[179/512,45/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2195529947020070522013/18446744073709551616", + "floor_float": 119.01991691580724 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "536592141743239783051/18446744073709551616", + "floor_float": 29.088718290833516 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "62295075617781995801/9223372036854775808", + "floor_float": 6.754045631994802 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1220680368281869111807/18446744073709551616", + "floor_float": 66.1732153600804 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "147791555270330356283/9223372036854775808", + "floor_float": 16.023592529910367 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "845593965611970339861/18446744073709551616", + "floor_float": 45.83974072785656 + }, + "r=[179/512,45/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "829962537347111162343/9223372036854775808", + "floor_float": 89.98471860733196 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "463693498893804941743/18446744073709551616", + "floor_float": 25.13687494340341 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "1682123116294583451/288230376151711744", + "floor_float": 5.836036918638958 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "527222968520079025979/9223372036854775808", + "floor_float": 57.16162878537264 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "127722326871649574709/9223372036854775808", + "floor_float": 13.847682426914618 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "730584882649973379037/18446744073709551616", + "floor_float": 39.60508584770842 + }, + "r=[179/512,45/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "716773451734148261851/9223372036854775808", + "floor_float": 77.71273335500975 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "460394941072362844907/9223372036854775808", + "floor_float": 49.91611953119916 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "26728624553094335295/2305843009213693952", + "floor_float": 11.59169312320571 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1048853187360678283221/9223372036854775808", + "floor_float": 113.71689043547933 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "63384136360919437633/2305843009213693952", + "floor_float": 27.488487337450525 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1451987923206828994913/18446744073709551616", + "floor_float": 78.71242303817799 + }, + "r=[179/512,45/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "713736629906689654691/4611686018427387904", + "floor_float": 154.76696094546307 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "618069444498369698483/18446744073709551616", + "floor_float": 33.505611723602065 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "143523852971477793033/18446744073709551616", + "floor_float": 7.780443659758317 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1406531992720756997165/18446744073709551616", + "floor_float": 76.24825210891052 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "5319481598463607435/288230376151711744", + "floor_float": 18.455659217762904 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "121770670327995016841/2305843009213693952", + "floor_float": 52.80961012585134 + }, + "r=[179/512,45/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "956533344263121308359/9223372036854775808", + "floor_float": 103.7075529904901 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "404811472751860068171/9223372036854775808", + "floor_float": 43.889747820462325 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "188013435139539651341/18446744073709551616", + "floor_float": 10.19222874173757 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1843814171264535597147/18446744073709551616", + "floor_float": 99.95336650722847 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "445890415275661583179/18446744073709551616", + "floor_float": 24.171767846616802 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "159564051463955284197/2305843009213693952", + "floor_float": 69.19987649912366 + }, + "r=[179/512,45/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "627225332939319910811/4611686018427387904", + "floor_float": 136.0078137221509 + }, + "r=[179/512,45/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1043119669731796108129/18446744073709551616", + "floor_float": 56.54763060427876 + }, + "r=[179/512,45/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "15138328829606274233/1152921504606846976", + "floor_float": 13.130407203887254 + }, + "r=[179/512,45/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2377268006581288362597/18446744073709551616", + "floor_float": 128.87195686578588 + }, + "r=[179/512,45/128],b=[7/8,1],k=[3/4,1]": { + "floor": "287190962128898352707/9223372036854775808", + "floor_float": 31.137306505835383 + }, + "r=[179/512,45/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "411287178671065575307/4611686018427387904", + "floor_float": 89.18369052612063 + }, + "r=[179/512,45/128],b=[7/8,1],k=[7/4,2]": { + "floor": "404510281058447480785/2305843009213693952", + "floor_float": 175.4283702065163 + }, + "r=[181/512,91/256],b=[0,1/8],k=[1,5/4]": { + "floor": "396192252006362543823/18446744073709551616", + "floor_float": 21.477625017361134 + }, + "r=[181/512,91/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "22969941291192248527/4611686018427387904", + "floor_float": 4.980812049955026 + }, + "r=[181/512,91/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "900604468602864820791/18446744073709551616", + "floor_float": 48.821866070468964 + }, + "r=[181/512,91/256],b=[0,1/8],k=[3/4,1]": { + "floor": "109115629044284337133/9223372036854775808", + "floor_float": 11.830340206193549 + }, + "r=[181/512,91/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "312084836979997687391/9223372036854775808", + "floor_float": 33.8363058253498 + }, + "r=[181/512,91/256],b=[0,1/8],k=[7/4,2]": { + "floor": "38249004502109575623/576460752303423488", + "floor_float": 66.35144604255207 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "352219246480300681749/9223372036854775808", + "floor_float": 38.18768722251494 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "81707423654000206505/9223372036854775808", + "floor_float": 8.858736623386052 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1603653436996091458239/18446744073709551616", + "floor_float": 86.93422701525041 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "387899059331515898843/18446744073709551616", + "floor_float": 21.028050141615655 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "555275540363496108983/9223372036854775808", + "floor_float": 60.20309471901649 + }, + "r=[181/512,91/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2181398014921129145539/18446744073709551616", + "floor_float": 118.25382334165275 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "533065607637239399681/18446744073709551616", + "floor_float": 28.897544493880023 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "123644868932765280359/18446744073709551616", + "floor_float": 6.702801775679479 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "151573789601156729275/2305843009213693952", + "floor_float": 65.73465279097395 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "146784687627780311617/9223372036854775808", + "floor_float": 15.914427721364556 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "420028354665380552211/9223372036854775808", + "floor_float": 45.53956546337176 + }, + "r=[181/512,91/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "824360402194070563873/9223372036854775808", + "floor_float": 89.37733389698354 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "230288045017087715953/9223372036854775808", + "floor_float": 24.967879870496613 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "53412090539855900079/9223372036854775808", + "floor_float": 5.790950460030422 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "523642497339829232307/9223372036854775808", + "floor_float": 56.773433322157786 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "126834007493339876213/9223372036854775808", + "floor_float": 13.751370646932184 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "725687493340347204213/18446744073709551616", + "floor_float": 39.339597841258225 + }, + "r=[181/512,91/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "88977158942820843865/1152921504606846976", + "floor_float": 77.17538322191551 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "457609061372830176487/9223372036854775808", + "floor_float": 49.6140738489475 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "106154324570340893705/9223372036854775808", + "floor_float": 11.509274931789497 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "521260178508304848419/4611686018427387904", + "floor_float": 113.0302835937772 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "251937243143473408235/9223372036854775808", + "floor_float": 27.31509063461626 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "360824551650780074643/4611686018427387904", + "floor_float": 78.24135255717677 + }, + "r=[181/512,91/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "709353032999212871761/4611686018427387904", + "floor_float": 153.81641988738565 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "307045912095490807475/9223372036854775808", + "floor_float": 33.28998449467244 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "142453953434918134517/18446744073709551616", + "floor_float": 7.722444289664357 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "698715191460862197129/9223372036854775808", + "floor_float": 75.7548528530492 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "338172829551783064909/18446744073709551616", + "floor_float": 18.33238582378067 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "483965424331514587215/9223372036854775808", + "floor_float": 52.47163644680971 + }, + "r=[181/512,91/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1900455384256776937213/18446744073709551616", + "floor_float": 103.02389281614859 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "804623899316407202519/18446744073709551616", + "floor_float": 43.618748983630326 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "93328537463226247781/9223372036854775808", + "floor_float": 10.11870030725247 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1832427619911535594545/18446744073709551616", + "floor_float": 99.33610032152646 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "221512991265830752869/9223372036854775808", + "floor_float": 24.01648663641763 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "634353610432666227711/9223372036854775808", + "floor_float": 68.77675625551201 + }, + "r=[181/512,91/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "623281940677786689713/4611686018427387904", + "floor_float": 135.15272683076753 + }, + "r=[181/512,91/256],b=[7/8,1],k=[1,5/4]": { + "floor": "129616436795115111285/2305843009213693952", + "floor_float": 56.21216894523755 + }, + "r=[181/512,91/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "240516380922597333233/18446744073709551616", + "floor_float": 13.038419135731559 + }, + "r=[181/512,91/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2363230697587776203049/18446744073709551616", + "floor_float": 128.11099282045507 + }, + "r=[181/512,91/256],b=[7/8,1],k=[3/4,1]": { + "floor": "142705729859665161031/4611686018427387904", + "floor_float": 30.9443724679957 + }, + "r=[181/512,91/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1635505879924674579485/18446744073709551616", + "floor_float": 88.66095140635744 + }, + "r=[181/512,91/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3216657248717091639603/18446744073709551616", + "floor_float": 174.37533886001583 + }, + "r=[183/512,23/64],b=[0,1/8],k=[1,5/4]": { + "floor": "98359064513965902267/4611686018427387904", + "floor_float": 21.328222285936743 + }, + "r=[183/512,23/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "91149447670946523519/18446744073709551616", + "floor_float": 4.9412214592847015 + }, + "r=[183/512,23/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "894267019915577284659/18446744073709551616", + "floor_float": 48.478312288730336 + }, + "r=[183/512,23/64],b=[0,1/8],k=[3/4,1]": { + "floor": "216667012230487183619/18446744073709551616", + "floor_float": 11.745542268311878 + }, + "r=[183/512,23/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "309914776181195729467/9223372036854775808", + "floor_float": 33.60102736210113 + }, + "r=[183/512,23/64],b=[0,1/8],k=[7/4,2]": { + "floor": "303793759704718364089/4611686018427387904", + "floor_float": 65.87477085187899 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "349977802954261449123/9223372036854775808", + "floor_float": 37.94466942847141 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "162204239849359754139/18446744073709551616", + "floor_float": 8.793109461551785 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "398347488322450489605/4611686018427387904", + "floor_float": 86.37784244866899 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "96332940508042740167/4611686018427387904", + "floor_float": 20.88887667614736 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1103515468267664898077/18446744073709551616", + "floor_float": 59.82169340335805 + }, + "r=[183/512,23/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2167205134700494596285/18446744073709551616", + "floor_float": 117.48442576320083 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "529525455656880547739/18446744073709551616", + "floor_float": 28.705632470478328 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "15337124418715236903/2305843009213693952", + "floor_float": 6.6514174457806154 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1204456727232039559693/18446744073709551616", + "floor_float": 65.2937300164879 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "145774363335200558119/9223372036854775808", + "floor_float": 15.80488814207157 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "417242815501546267869/9223372036854775808", + "floor_float": 45.2375567020745 + }, + "r=[183/512,23/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "204682291004887617067/2305843009213693952", + "floor_float": 88.76679383072376 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "457444470096206003817/18446744073709551616", + "floor_float": 24.798114413489344 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "207012281003604821/36028797018963968", + "floor_float": 5.745745018759375 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1040090482761181355535/18446744073709551616", + "floor_float": 56.38341804955849 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "62971587349082339471/4611686018427387904", + "floor_float": 13.654786361747156 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "360380266752748081041/9223372036854775808", + "floor_float": 39.07250681342351 + }, + "r=[183/512,23/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "5522119954974416147/72057594037927936", + "floor_float": 76.63480898443287 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "909624893324521151369/18446744073709551616", + "floor_float": 49.31086427446705 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "52695911330844260923/4611686018427387904", + "floor_float": 11.426604309200972 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2072290266335826028039/18446744073709551616", + "floor_float": 112.33908043909337 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "250330843322757513125/9223372036854775808", + "floor_float": 27.140924417066213 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1434554268330430611155/18446744073709551616", + "floor_float": 77.7673427136103 + }, + "r=[183/512,23/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "176236570259337184937/1152921504606846976", + "floor_float": 152.8608578772541 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "152525088815194791993/4611686018427387904", + "floor_float": 33.07360653039574 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "141381020410893173141/18446744073709551616", + "floor_float": 7.664280473885391 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1388275060105366281723/18446744073709551616", + "floor_float": 75.25854180868411 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "41986253012383481139/2305843009213693952", + "floor_float": 18.20863469222089 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "60103620323644238585/1152921504606846976", + "floor_float": 52.1315805833112 + }, + "r=[183/512,23/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1887786326105508587621/18446744073709551616", + "floor_float": 102.33710179760106 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "399803545048202878387/9223372036854775808", + "floor_float": 43.34678721086678 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "46324170022074139459/4611686018427387904", + "floor_float": 10.044953155304132 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "227620834664869248269/2305843009213693952", + "floor_float": 98.71480137864602 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "220074585359914113819/9223372036854775808", + "floor_float": 23.860534355606546 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1260853424452518965169/18446744073709551616", + "floor_float": 68.35100109886045 + }, + "r=[183/512,23/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2477281539232787527183/18446744073709551616", + "floor_float": 134.29370133472113 + }, + "r=[183/512,23/64],b=[7/8,1],k=[1,5/4]": { + "floor": "1030716558462369449223/18446744073709551616", + "floor_float": 55.87525659508417 + }, + "r=[183/512,23/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "238814225772067594135/18446744073709551616", + "floor_float": 12.946145120125971 + }, + "r=[183/512,23/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2349094595359508830161/18446744073709551616", + "floor_float": 127.34467318313682 + }, + "r=[183/512,23/64],b=[7/8,1],k=[3/4,1]": { + "floor": "567247895688484230199/18446744073709551616", + "floor_float": 30.75057004216427 + }, + "r=[183/512,23/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "203225440651595962967/2305843009213693952", + "floor_float": 88.13498570351372 + }, + "r=[183/512,23/64],b=[7/8,1],k=[7/4,2]": { + "floor": "3197117419571924845457/18446744073709551616", + "floor_float": 173.31608259955655 + }, + "r=[185/512,93/256],b=[0,1/8],k=[1,5/4]": { + "floor": "390666829601328598933/18446744073709551616", + "floor_float": 21.17809126858924 + }, + "r=[185/512,93/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "22604513902496957017/4611686018427387904", + "floor_float": 4.901572616213198 + }, + "r=[185/512,93/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "887899542772730630581/18446744073709551616", + "floor_float": 48.133130661154034 + }, + "r=[185/512,93/256],b=[0,1/8],k=[3/4,1]": { + "floor": "53774472587463448723/4611686018427387904", + "floor_float": 11.660480000718016 + }, + "r=[185/512,93/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "615468086742320878633/18446744073709551616", + "floor_float": 33.36459183707606 + }, + "r=[185/512,93/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1206320368139752653743/18446744073709551616", + "floor_float": 65.39475819253167 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "695449923204071049393/18446744073709551616", + "floor_float": 37.70041587963655 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "160990556251560916733/18446744073709551616", + "floor_float": 8.727315541879607 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1583073716391168376701/18446744073709551616", + "floor_float": 85.8185981258003 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "382757639484516225781/18446744073709551616", + "floor_float": 20.749333213226798 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "34263780053690945027/576460752303423488", + "floor_float": 59.43818363484355 + }, + "r=[185/512,93/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2152910040206486731301/18446744073709551616", + "floor_float": 116.70948713788638 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "525967081414391498093/18446744073709551616", + "floor_float": 28.512732616267172 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "60873601909211350917/9223372036854775808", + "floor_float": 6.5999291436984695 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "598140444523593432635/9223372036854775808", + "floor_float": 64.85051694039254 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "36190372538931685159/2305843009213693952", + "floor_float": 15.695072211907789 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "103610729073881634169/2305843009213693952", + "floor_float": 44.93399102188379 + }, + "r=[185/512,93/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "203264466066177433419/2305843009213693952", + "floor_float": 88.15191027922226 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "28393565639786412027/1152921504606846976", + "floor_float": 24.627492441012958 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "52577478713708335723/9223372036854775808", + "floor_float": 5.700461664521295 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1032860989562964821131/18446744073709551616", + "floor_float": 55.99150643798472 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "250099749494955411503/18446744073709551616", + "floor_float": 13.557934587025555 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "357904271087581838027/9223372036854775808", + "floor_float": 38.804058825499716 + }, + "r=[185/512,93/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1403619953707000029357/18446744073709551616", + "floor_float": 76.09039015765663 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "452002839974107945337/9223372036854775808", + "floor_float": 49.00624610695456 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "209254245559229420777/18446744073709551616", + "floor_float": 11.343695381856588 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "514867867989311595927/4611686018427387904", + "floor_float": 111.64417220339831 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "248719097279079792735/9223372036854775808", + "floor_float": 26.966178560861184 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "89109920980355954109/1152921504606846976", + "floor_float": 77.29053593353085 + }, + "r=[185/512,93/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2802040734782818648837/18446744073709551616", + "floor_float": 151.89893260222055 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "606088107153245829765/18446744073709551616", + "floor_float": 32.85610212465882 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "140305612427689050787/18446744073709551616", + "floor_float": 7.605982490300483 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1379072233913678120735/18446744073709551616", + "floor_float": 74.75965560118237 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "333601549027054086625/18446744073709551616", + "floor_float": 18.084576209983076 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "477675820478746102763/9223372036854775808", + "floor_float": 51.78971623068524 + }, + "r=[185/512,93/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1875027098853965483723/18446744073709551616", + "floor_float": 101.64542270233311 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "794565891738935338811/18446744073709551616", + "floor_float": 43.07350330031179 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "183932606629491623507/18446744073709551616", + "floor_float": 9.971006584930826 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "452361559028130525099/4611686018427387904", + "floor_float": 98.09027700944577 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "218631894815469204605/9223372036854775808", + "floor_float": 23.7041175333554 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "313238654053200293649/4611686018427387904", + "floor_float": 67.92280584618302 + }, + "r=[185/512,93/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2461323433114884947263/18446744073709551616", + "floor_float": 133.42861066863193 + }, + "r=[185/512,93/256],b=[7/8,1],k=[1,5/4]": { + "floor": "512236914635211042303/9223372036854775808", + "floor_float": 55.536837567476766 + }, + "r=[185/512,93/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "237107039889412031107/18446744073709551616", + "floor_float": 12.853598387985384 + }, + "r=[185/512,93/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2334878868805356208623/18446744073709551616", + "floor_float": 126.57403710246321 + }, + "r=[185/512,93/256],b=[7/8,1],k=[3/4,1]": { + "floor": "563659561135561158539/18446744073709551616", + "floor_float": 30.55604603627007 + }, + "r=[185/512,93/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1616042685747696958175/18446744073709551616", + "floor_float": 87.60584953584812 + }, + "r=[185/512,93/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1588727580645730184279/9223372036854775808", + "floor_float": 172.25018944237402 + }, + "r=[187/512,47/128],b=[0,1/8],k=[1,5/4]": { + "floor": "387886029611128589263/18446744073709551616", + "floor_float": 21.027343799058116 + }, + "r=[187/512,47/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "89685879440277553525/18446744073709551616", + "floor_float": 4.861881266521098 + }, + "r=[187/512,47/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "440745948039469486519/9223372036854775808", + "floor_float": 47.785771437857605 + }, + "r=[187/512,47/128],b=[0,1/8],k=[3/4,1]": { + "floor": "106762048098575319171/9223372036854775808", + "floor_float": 11.575164448747728 + }, + "r=[187/512,47/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "611095452782101311471/18446744073709551616", + "floor_float": 33.12755087511836 + }, + "r=[187/512,47/128],b=[0,1/8],k=[7/4,2]": { + "floor": "299355632717577237659/4611686018427387904", + "floor_float": 64.912405467634 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "172730725866997576465/4611686018427387904", + "floor_float": 37.45500564799938 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "39943541559215690027/4611686018427387904", + "floor_float": 8.661374907053338 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1572704865646365172927/18446744073709551616", + "floor_float": 85.25650160061562 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "95043452025095755859/4611686018427387904", + "floor_float": 20.609263433226126 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "272332235992216155271/4611686018427387904", + "floor_float": 59.052640380119165 + }, + "r=[187/512,47/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "267314495489199713035/2305843009213693952", + "floor_float": 115.92918269850276 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "522391174915236321073/18446744073709551616", + "floor_float": 28.318882336517717 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "120795645024671346483/18446744073709551616", + "floor_float": 6.548345038126825 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "148508022312996308029/2305843009213693952", + "floor_float": 64.40508816931055 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "71872569375410143767/4611686018427387904", + "floor_float": 15.584879171786962 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "823263434298918490081/18446744073709551616", + "floor_float": 44.629200199738236 + }, + "r=[187/512,47/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1614703163787298496563/18446744073709551616", + "floor_float": 87.53323390487031 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "451135027895211061117/18446744073709551616", + "floor_float": 24.456078866414824 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "52159128310272245335/9223372036854775808", + "floor_float": 5.655104022894735 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "128198495221243339825/2305843009213693952", + "floor_float": 55.59723481129784 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "248307970639048301289/18446744073709551616", + "floor_float": 13.460802060616151 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "355420472709916525293/9223372036854775808", + "floor_float": 38.534764865791644 + }, + "r=[187/512,47/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1393522553508326017741/18446744073709551616", + "floor_float": 75.54300899606373 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "224589578884628977595/4611686018427387904", + "floor_float": 48.70010186886386 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "207721478633646685671/18446744073709551616", + "floor_float": 11.260603920325051 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2046578007452933644851/18446744073709551616", + "floor_float": 110.94521609207628 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "494201275482725408181/18446744073709551616", + "floor_float": 26.790704826173908 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1416915125149812032795/18446744073709551616", + "floor_float": 76.81112284574984 + }, + "r=[187/512,47/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2784178847458392231655/18446744073709551616", + "floor_float": 150.93063775012882 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "602056908363193650145/18446744073709551616", + "floor_float": 32.63757040036404 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "8701727974742046183/1152921504606846976", + "floor_float": 7.547545899674572 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "342456179484497104039/4611686018427387904", + "floor_float": 74.25834675563551 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "82826273092806471935/4611686018427387904", + "floor_float": 17.960085045219692 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "118626900824111089545/2305843009213693952", + "floor_float": 51.44621743548949 + }, + "r=[187/512,47/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "931091772925770400553/9223372036854775808", + "floor_float": 100.94917229895003 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "789500206917236090339/18446744073709551616", + "floor_float": 42.79889197587113 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "91282355377331184639/9223372036854775808", + "floor_float": 9.896852800969635 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1797862871191409506351/18446744073709551616", + "floor_float": 97.46234153883763 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "434366861818459007425/18446744073709551616", + "floor_float": 23.547074761964208 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "311252811576518855211/4611686018427387904", + "floor_float": 67.49219490069662 + }, + "r=[187/512,47/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "611314582219578205695/4611686018427387904", + "floor_float": 132.55771962290703 + }, + "r=[187/512,47/128],b=[7/8,1],k=[1,5/4]": { + "floor": "509099473636004788263/9223372036854775808", + "floor_float": 55.19667553273832 + }, + "r=[187/512,47/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "117697949393759747755/9223372036854775808", + "floor_float": 12.760837242980328 + }, + "r=[187/512,47/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "580143975728052730467/4611686018427387904", + "floor_float": 125.7986717677465 + }, + "r=[187/512,47/128],b=[7/8,1],k=[3/4,1]": { + "floor": "280028437216150951415/9223372036854775808", + "floor_float": 30.360743998747154 + }, + "r=[187/512,47/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1606229829897472854711/18446744073709551616", + "floor_float": 87.07389355429312 + }, + "r=[187/512,47/128],b=[7/8,1],k=[7/4,2]": { + "floor": "197353811819801199663/1152921504606846976", + "floor_float": 171.17714521865912 + }, + "r=[189/512,95/256],b=[0,1/8],k=[1,5/4]": { + "floor": "385094265789968975655/18446744073709551616", + "floor_float": 20.876001979059733 + }, + "r=[189/512,95/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "44476073052670818037/9223372036854775808", + "floor_float": 4.8221055027329705 + }, + "r=[189/512,95/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "218764093318006470949/4611686018427387904", + "floor_float": 47.43690104744085 + }, + "r=[189/512,95/256],b=[0,1/8],k=[3/4,1]": { + "floor": "211945472564590277285/18446744073709551616", + "floor_float": 11.489587090149783 + }, + "r=[189/512,95/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "606699118080041370557/18446744073709551616", + "floor_float": 32.889225093371024 + }, + "r=[189/512,95/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1188467343140799835469/18446744073709551616", + "floor_float": 64.42694376806654 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "85796979375787370205/2305843009213693952", + "floor_float": 37.20850857276908 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "79278069715723856795/9223372036854775808", + "floor_float": 8.595345541624509 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1562270142358582056885/18446744073709551616", + "floor_float": 84.69083411772064 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "94395048787581121739/4611686018427387904", + "floor_float": 20.468663393474127 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "33818254252000167429/576460752303423488", + "floor_float": 58.665319567497164 + }, + "r=[189/512,95/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "265506460864550168937/2305843009213693952", + "floor_float": 115.14507267131314 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "518805220120913572589/18446744073709551616", + "floor_float": 28.124487337595742 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "29960655071032214871/4611686018427387904", + "floor_float": 6.496681463420394 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "589900774484296718715/9223372036854775808", + "floor_float": 63.95717012467561 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "285449452774560194441/18446744073709551616", + "floor_float": 15.474245841648829 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "102201205371378445377/2305843009213693952", + "floor_float": 44.32270755771429 + }, + "r=[189/512,95/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1603225457951375618399/18446744073709551616", + "floor_float": 86.91102622474746 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "447963335441942177795/18446744073709551616", + "floor_float": 24.284141074000324 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "51739890726342135595/9223372036854775808", + "floor_float": 5.609650192966274 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "127285294976975126231/2305843009213693952", + "floor_float": 55.20119733579788 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "61627462034545892449/4611686018427387904", + "floor_float": 13.36332564452452 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "705844888647266112243/18446744073709551616", + "floor_float": 38.26392808545774 + }, + "r=[189/512,95/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1383356757483019198571/18446744073709551616", + "floor_float": 74.99192008927963 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "55792651901875666597/1152921504606846976", + "floor_float": 48.39241152059289 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "103092470533364349601/9223372036854775808", + "floor_float": 11.177308051917148 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "508401259031020717297/4611686018427387904", + "floor_float": 110.24194990715966 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "3835578100085869757/144115188075855872", + "floor_float": 26.61466949664591 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "704016141566573573211/9223372036854775808", + "floor_float": 76.32958301513415 + }, + "r=[189/512,95/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1383101323772734073499/9223372036854775808", + "floor_float": 149.95614600019752 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "299005368537636673265/9223372036854775808", + "floor_float": 32.41822701533346 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "138148648784626529889/18446744073709551616", + "floor_float": 7.489053256911451 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "340130164044803676977/4611686018427387904", + "floor_float": 73.75397255704543 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "328999448924131507269/18446744073709551616", + "floor_float": 17.835095863503856 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "942643266825788214577/18446744073709551616", + "floor_float": 51.10079388856763 + }, + "r=[189/512,95/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1849276310936742009713/18446744073709551616", + "floor_float": 100.24946969217974 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "784410018336034141157/18446744073709551616", + "floor_float": 42.52295229996613 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "90597046836573591837/9223372036854775808", + "floor_float": 9.822551500098408 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "893102956393687121691/9223372036854775808", + "floor_float": 96.83041655752623 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "431459070797614314357/18446744073709551616", + "floor_float": 23.389443094867524 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "309258902424862062757/4611686018427387904", + "floor_float": 67.05983477390362 + }, + "r=[189/512,95/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1214550476527674386029/9223372036854775808", + "floor_float": 131.68182652446092 + }, + "r=[189/512,95/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1011892785673994306507/18446744073709551616", + "floor_float": 54.85481782750768 + }, + "r=[189/512,95/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "116840055944162563797/9223372036854775808", + "floor_float": 12.667824248798892 + }, + "r=[189/512,95/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "144136726494401709471/1152921504606846976", + "floor_float": 125.01868160014344 + }, + "r=[189/512,95/256],b=[7/8,1],k=[3/4,1]": { + "floor": "556442551248630084785/18446744073709551616", + "floor_float": 30.164811146357067 + }, + "r=[189/512,95/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "798183339077495064383/9223372036854775808", + "floor_float": 86.53921102695541 + }, + "r=[189/512,95/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3137732965904948211927/18446744073709551616", + "floor_float": 170.0968449156765 + }, + "r=[19/128,77/512],b=[0,1/8],k=[1,5/4]": { + "floor": "519157319187829225513/18446744073709551616", + "floor_float": 28.143574666259745 + }, + "r=[19/128,77/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "31629468805291495901/4611686018427387904", + "floor_float": 6.858547758651906 + }, + "r=[19/128,77/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1174005196042331803585/18446744073709551616", + "floor_float": 63.64294920291833 + }, + "r=[19/128,77/512],b=[0,1/8],k=[3/4,1]": { + "floor": "289819646699711174415/18446744073709551616", + "floor_float": 15.71115452904041 + }, + "r=[19/128,77/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "814048858351814171901/18446744073709551616", + "floor_float": 44.12967703671908 + }, + "r=[19/128,77/512],b=[0,1/8],k=[7/4,2]": { + "floor": "399642223734918806141/4611686018427387904", + "floor_float": 86.6585934380674 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "112874742977552654563/2305843009213693952", + "floor_float": 48.95161662200221 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "220240029300493229239/18446744073709551616", + "floor_float": 11.939235911793295 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2042240746856056039645/18446744073709551616", + "floor_float": 110.71009272398776 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "504195385308228635667/18446744073709551616", + "floor_float": 27.332486605417373 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1415922854849531312413/18446744073709551616", + "floor_float": 76.75733176498697 + }, + "r=[19/128,77/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2781226972995951751021/18446744073709551616", + "floor_float": 150.7706163148747 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "690521519472774600771/18446744073709551616", + "floor_float": 37.43324657801869 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "21044444066545433941/2305843009213693952", + "floor_float": 9.126572790279297 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1561588702864586363319/18446744073709551616", + "floor_float": 84.65389320873027 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "192764040018199092681/9223372036854775808", + "floor_float": 20.899519096481416 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1082737309193075819271/18446744073709551616", + "floor_float": 58.69530714291211 + }, + "r=[19/128,77/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "531621543397577894061/4611686018427387904", + "floor_float": 115.27704645835017 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "599995972065102512615/18446744073709551616", + "floor_float": 32.52584681977681 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "73127496783487642175/9223372036854775808", + "floor_float": 7.928499088108404 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "678408538172484612243/9223372036854775808", + "floor_float": 73.55320109193231 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "334968561199935377989/18446744073709551616", + "floor_float": 18.15868208836568 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "940786555833188415679/18446744073709551616", + "floor_float": 51.000141383974906 + }, + "r=[19/128,77/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1847566044789379757607/18446744073709551616", + "floor_float": 100.15675597855481 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1162032748382244051583/18446744073709551616", + "floor_float": 62.99392151476653 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "283385911197695703965/18446744073709551616", + "floor_float": 15.362381028616296 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2628270900006860865369/18446744073709551616", + "floor_float": 142.47885098339353 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "648792606216825725933/18446744073709551616", + "floor_float": 35.17111765764074 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "911065405150071711453/9223372036854775808", + "floor_float": 98.77790915400941 + }, + "r=[19/128,77/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "447446976468522265693/2305843009213693952", + "floor_float": 194.04919358369688 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "395622912128163220179/9223372036854775808", + "floor_float": 42.89352208143964 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "12059872284323427691/1152921504606846976", + "floor_float": 10.460271784448947 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1789442172114314650963/18446744073709551616", + "floor_float": 97.005854527176 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "441784414687379784389/18446744073709551616", + "floor_float": 23.949181108714708 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "620342216799305386477/9223372036854775808", + "floor_float": 67.25763791382806 + }, + "r=[19/128,77/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1218431618077319867431/9223372036854775808", + "floor_float": 132.10262073444585 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "513192709472906697079/9223372036854775808", + "floor_float": 55.640465051424776 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "244451558430096067/18014398509481984", + "floor_float": 13.569787428729722 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "72543574557451782777/576460752303423488", + "floor_float": 125.84304181608542 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "573095602658005733817/18446744073709551616", + "floor_float": 31.067574872184963 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1609418265919898979249/18446744073709551616", + "floor_float": 87.24673901741039 + }, + "r=[19/128,77/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3161514986042930134169/18446744073709551616", + "floor_float": 171.3860708106612 + }, + "r=[19/128,77/512],b=[7/8,1],k=[1,5/4]": { + "floor": "655316363566874696475/9223372036854775808", + "floor_float": 71.04954250445063 + }, + "r=[19/128,77/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "159807940103182653707/9223372036854775808", + "floor_float": 17.3264115840304 + }, + "r=[19/128,77/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2964645744683356443765/18446744073709551616", + "floor_float": 160.71376785178006 + }, + "r=[19/128,77/512],b=[7/8,1],k=[3/4,1]": { + "floor": "731740791117037340771/18446744073709551616", + "floor_float": 39.66774777126768 + }, + "r=[19/128,77/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2055274230274653946671/18446744073709551616", + "floor_float": 111.41663927586264 + }, + "r=[19/128,77/512],b=[7/8,1],k=[7/4,2]": { + "floor": "504731717506685895709/2305843009213693952", + "floor_float": 218.89248985723552 + }, + "r=[19/64,153/512],b=[0,1/8],k=[1,5/4]": { + "floor": "217367918518849298573/9223372036854775808", + "floor_float": 23.567076948678853 + }, + "r=[19/64,153/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "51139778969167595575/9223372036854775808", + "floor_float": 5.5445859458800015 + }, + "r=[19/64,153/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "988406859166985757349/18446744073709551616", + "floor_float": 53.581643200421 + }, + "r=[19/64,153/512],b=[0,1/8],k=[3/4,1]": { + "floor": "240271755760837049803/18446744073709551616", + "floor_float": 13.025157979140301 + }, + "r=[19/64,153/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "684492185064329855731/18446744073709551616", + "floor_float": 37.10639570480482 + }, + "r=[19/64,153/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1345383636459954493845/18446744073709551616", + "floor_float": 72.93339307381653 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "766960226810263961785/18446744073709551616", + "floor_float": 41.576997205883174 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "45146790927707605615/4611686018427387904", + "floor_float": 9.789649760913889 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1745164768027469139075/18446744073709551616", + "floor_float": 94.60557164202717 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "52987434953536350391/2305843009213693952", + "floor_float": 22.979636836423385 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1207965494891681358561/18446744073709551616", + "floor_float": 65.48394069245442 + }, + "r=[19/64,153/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2376720335529748824079/18446744073709551616", + "floor_float": 128.84226755859154 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "582496652698566325365/18446744073709551616", + "floor_float": 31.577206816066 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "137105799667442650103/18446744073709551616", + "floor_float": 7.4325202929901835 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "662484056627247451829/9223372036854775808", + "floor_float": 71.82666534322716 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "160972980396625882801/9223372036854775808", + "floor_float": 17.45272550574883 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "917334043243052209261/18446744073709551616", + "floor_float": 49.72877812895145 + }, + "r=[19/64,153/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "225503857133049398745/2305843009213693952", + "floor_float": 97.7967087230052 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "504311581220590124985/18446744073709551616", + "floor_float": 27.338785598448187 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "14834664736764849059/2305843009213693952", + "floor_float": 6.433510294277821 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "573420797974435958767/9223372036854775808", + "floor_float": 62.170407491225504 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "69682973981191279335/4611686018427387904", + "floor_float": 15.110086355131694 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "794121444178901705989/18446744073709551616", + "floor_float": 43.049409749804575 + }, + "r=[19/64,153/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "780631438148669542771/9223372036854775808", + "floor_float": 84.63623011512712 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "124134031803869584423/2305843009213693952", + "floor_float": 53.83455478445604 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "29235013600592261781/2305843009213693952", + "floor_float": 12.67866610336216 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1130287701674725702473/9223372036854775808", + "floor_float": 122.54603816893854 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "274430781956801585095/9223372036854775808", + "floor_float": 29.753844999446006 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1564356569504802222309/18446744073709551616", + "floor_float": 84.80393955995388 + }, + "r=[19/64,153/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1539796441013730721387/9223372036854775808", + "floor_float": 166.94506465325347 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "669788742319360443235/18446744073709551616", + "floor_float": 36.309320476449216 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "157682889928610215655/18446744073709551616", + "floor_float": 8.548006591219593 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "761869525359185306385/9223372036854775808", + "floor_float": 82.60205945449289 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "185099624141487568817/9223372036854775808", + "floor_float": 20.068541462045115 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1054830334047399784241/18446744073709551616", + "floor_float": 57.18246698889006 + }, + "r=[19/64,153/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2074951703083665309345/18446744073709551616", + "floor_float": 112.48335721429036 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "874529016964473606655/18446744073709551616", + "floor_float": 47.40831300472474 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "205938413917054107295/18446744073709551616", + "floor_float": 11.163943788354455 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "995174960547939246709/9223372036854775808", + "floor_float": 107.89708542292519 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "483343785744545940595/18446744073709551616", + "floor_float": 26.202119128080245 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "172188619618788606357/2305843009213693952", + "floor_float": 74.6749101871883 + }, + "r=[19/64,153/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2711061722028079801313/18446744073709551616", + "floor_float": 146.96695043825684 + }, + "r=[19/64,153/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1123345637469619172763/18446744073709551616", + "floor_float": 60.89668902983375 + }, + "r=[19/64,153/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "66146049096543557285/4611686018427387904", + "floor_float": 14.343138026361073 + }, + "r=[19/64,153/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2557635104121766893281/18446744073709551616", + "floor_float": 138.64967681570045 + }, + "r=[19/64,153/512],b=[7/8,1],k=[3/4,1]": { + "floor": "620851556316119970305/18446744073709551616", + "floor_float": 33.65643030744719 + }, + "r=[19/64,153/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "884859443879073745705/9223372036854775808", + "floor_float": 95.93665313980071 + }, + "r=[19/64,153/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3484766234943205185817/18446744073709551616", + "floor_float": 188.90955612647775 + }, + "r=[191/512,3/8],b=[0,1/8],k=[1,5/4]": { + "floor": "47786994071917362637/2305843009213693952", + "floor_float": 20.72430511572989 + }, + "r=[191/512,3/8],b=[0,1/8],k=[1/2,3/4]": { + "floor": "11027172157768235575/2305843009213693952", + "floor_float": 4.782273603929595 + }, + "r=[191/512,3/8],b=[0,1/8],k=[3/2,7/4]": { + "floor": "434292785623343054045/9223372036854775808", + "floor_float": 47.086118166761 + }, + "r=[191/512,3/8],b=[0,1/8],k=[3/4,1]": { + "floor": "105180552343070517483/9223372036854775808", + "floor_float": 11.403698335358238 + }, + "r=[191/512,3/8],b=[0,1/8],k=[5/4,3/2]": { + "floor": "602284456255866153507/18446744073709551616", + "floor_float": 32.64990579634304 + }, + "r=[191/512,3/8],b=[0,1/8],k=[7/4,2]": { + "floor": "1179465720864156381641/18446744073709551616", + "floor_float": 63.938964846655 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[1,5/4]": { + "floor": "681807000682944559785/18446744073709551616", + "floor_float": 36.96083156781371 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "78667690339486594531/9223372036854775808", + "floor_float": 8.52916807704883 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "775892706654026070289/9223372036854775808", + "floor_float": 84.12245581699533 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[3/4,1]": { + "floor": "374978066904075329557/18446744073709551616", + "floor_float": 20.327601738590666 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1075005782994245741341/18446744073709551616", + "floor_float": 58.2761802678421 + }, + "r=[191/512,3/8],b=[1/2,5/8],k=[7/4,2]": { + "floor": "527373175197444340417/4611686018427387904", + "floor_float": 114.35582845192954 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[1,5/4]": { + "floor": "515199020524067881959/18446744073709551616", + "floor_float": 27.92899486572992 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "59444191868711145353/9223372036854775808", + "floor_float": 6.444952196570178 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "292871905167524011383/4611686018427387904", + "floor_float": 63.50647116851963 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[3/4,1]": { + "floor": "283403236368074208939/18446744073709551616", + "floor_float": 15.363320227984449 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "405964549736716362037/9223372036854775808", + "floor_float": 44.01476467766475 + }, + "r=[191/512,3/8],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1591692935084976366971/18446744073709551616", + "floor_float": 86.28584690744802 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[1,5/4]": { + "floor": "222389635346246529613/9223372036854775808", + "floor_float": 24.11153257806596 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "51320202397332939007/9223372036854775808", + "floor_float": 5.5641474931584165 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1010932247887925298897/18446744073709551616", + "floor_float": 54.80274696978716 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[3/4,1]": { + "floor": "122352681149918023175/9223372036854775808", + "floor_float": 13.265504271216734 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "350413966743879642087/9223372036854775808", + "floor_float": 37.99195840129776 + }, + "r=[191/512,3/8],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1373155209283687064871/18446744073709551616", + "floor_float": 74.43889305325806 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[1,5/4]": { + "floor": "443492476729379182403/9223372036854775808", + "floor_float": 48.083550675096994 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "102322355795992052305/9223372036854775808", + "floor_float": 11.093812044784933 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2020559232988011291509/18446744073709551616", + "floor_float": 109.53473550206232 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[3/4,1]": { + "floor": "243847255988404660863/9223372036854775808", + "floor_float": 26.437972469725725 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "349775060694545266359/4611686018427387904", + "floor_float": 75.84537613725503 + }, + "r=[191/512,3/8],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2748105275752238468991/18446744073709551616", + "floor_float": 148.97508550947265 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[1,5/4]": { + "floor": "296972817595818473329/9223372036854775808", + "floor_float": 32.19785740065278 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "137067240526205014457/18446744073709551616", + "floor_float": 7.430429997755232 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1351166008806205190095/18446744073709551616", + "floor_float": 73.2468561068128 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[3/4,1]": { + "floor": "326688172017001197219/18446744073709551616", + "floor_float": 17.709801291307542 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "468123949388920276593/9223372036854775808", + "floor_float": 50.75410029199617 + }, + "r=[191/512,3/8],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1836291633848684705651/18446744073709551616", + "floor_float": 99.54556893678502 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[1,5/4]": { + "floor": "194824170073600899129/4611686018427387904", + "floor_float": 42.245757689296696 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "179820342618191801961/18446744073709551616", + "floor_float": 9.748080306186564 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1774490573805471188027/18446744073709551616", + "floor_float": 96.19532675874706 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[3/4,1]": { + "floor": "428541983534095342655/18446744073709551616", + "floor_float": 23.23130747744567 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1229007865527041745571/18446744073709551616", + "floor_float": 66.62464989030957 + }, + "r=[191/512,3/8],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1206418257586296320113/9223372036854775808", + "floor_float": 130.80012958012392 + }, + "r=[191/512,3/8],b=[7/8,1],k=[1,5/4]": { + "floor": "251390457668944979791/4611686018427387904", + "floor_float": 54.51161606935908 + }, + "r=[191/512,3/8],b=[7/8,1],k=[1/2,3/4]": { + "floor": "115979949143510954571/9223372036854775808", + "floor_float": 12.57457128261529 + }, + "r=[191/512,3/8],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2291718568250307433245/18446744073709551616", + "floor_float": 124.23431252111766 + }, + "r=[191/512,3/8],b=[7/8,1],k=[3/4,1]": { + "floor": "276406635021192646963/9223372036854775808", + "floor_float": 29.9680674179385 + }, + "r=[191/512,3/8],b=[7/8,1],k=[5/4,3/2]": { + "floor": "793224739094807966677/9223372036854775808", + "floor_float": 86.00159853958382 + }, + "r=[191/512,3/8],b=[7/8,1],k=[7/4,2]": { + "floor": "779421121900780481311/4611686018427387904", + "floor_float": 169.01001472918307 + }, + "r=[193/512,97/256],b=[0,1/8],k=[1,5/4]": { + "floor": "379486879876372977587/18446744073709551616", + "floor_float": 20.57202497958546 + }, + "r=[193/512,97/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "21870372078348547635/4611686018427387904", + "floor_float": 4.742380984082362 + }, + "r=[193/512,97/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "862078260960206372785/18446744073709551616", + "floor_float": 46.73335616927907 + }, + "r=[193/512,97/256],b=[0,1/8],k=[3/4,1]": { + "floor": "208772954380392495561/18446744073709551616", + "floor_float": 11.317604534771933 + }, + "r=[193/512,97/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "298925195143506431623/9223372036854775808", + "floor_float": 32.4095345985243 + }, + "r=[193/512,97/256],b=[0,1/8],k=[7/4,2]": { + "floor": "292605591026669346455/4611686018427387904", + "floor_float": 63.44872349450399 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "338610143347379788993/9223372036854775808", + "floor_float": 36.712185304285725 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "156112641771600605849/18446744073709551616", + "floor_float": 8.462883268061034 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "96327753123171076331/1152921504606846976", + "floor_float": 83.55100736543153 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "186183419773054200085/9223372036854775808", + "floor_float": 20.186046819872598 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "533896536449686589359/9223372036854775808", + "floor_float": 57.88517847012365 + }, + "r=[193/512,97/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "261855375890962409471/2305843009213693952", + "floor_float": 113.56166696719593 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "511577190938850972935/18446744073709551616", + "floor_float": 27.732655090496696 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "7370762370310400581/1152921504606846976", + "floor_float": 6.393117259811954 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1163142307164886278417/18446744073709551616", + "floor_float": 63.05407081689858 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "281351327172564245373/18446744073709551616", + "floor_float": 15.252086007608705 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "201556008695758028223/4611686018427387904", + "floor_float": 43.705492501089616 + }, + "r=[193/512,97/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "197512269197957583449/2305843009213693952", + "floor_float": 85.65729254278696 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "3449874992612687975/144115188075855872", + "floor_float": 23.938316555482174 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "50899788328869151987/9223372036854775808", + "floor_float": 5.518566108521226 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "250884943043251612987/4611686018427387904", + "floor_float": 54.402000058279086 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "242898422414809113409/18446744073709551616", + "floor_float": 13.167549863771889 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "21743275386223697155/576460752303423488", + "floor_float": 37.718570257110926 + }, + "r=[193/512,97/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1362892633422244166379/18446744073709551616", + "floor_float": 73.88255770104436 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "881262643868653815855/18446744073709551616", + "floor_float": 47.773343650635695 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "101550345484177689565/9223372036854775808", + "floor_float": 11.010110519059898 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2007437167465502748979/18446744073709551616", + "floor_float": 108.82338690471228 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "30276416923434594843/1152921504606846976", + "floor_float": 26.260605602771744 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "695061759113599116993/9223372036854775808", + "floor_float": 75.35874692425605 + }, + "r=[193/512,97/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2729915384475560965133/18446744073709551616", + "floor_float": 147.9890095275002 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "589861869273108976171/18446744073709551616", + "floor_float": 31.976476006613268 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "135984265731660252441/18446744073709551616", + "floor_float": 7.371721816505609 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "10482576759324953975/144115188075855872", + "floor_float": 72.73748797251952 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "162184359740185338881/9223372036854775808", + "floor_float": 17.584063517347953 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "929817011207087974897/18446744073709551616", + "floor_float": 50.40548117823517 + }, + "r=[193/512,97/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "911618220862226082905/9223372036854775808", + "floor_float": 98.83784555361959 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "774165839427373886381/18446744073709551616", + "floor_float": 41.96761424856115 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "178443595631771410053/18446744073709551616", + "floor_float": 9.673446702504572 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1762705295339643265253/18446744073709551616", + "floor_float": 95.5564455329472 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "425613605651586795507/18446744073709551616", + "floor_float": 23.07255979434196 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1220945181931090667983/18446744073709551616", + "floor_float": 66.1875709367699 + }, + "r=[193/512,97/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2396467229409703863821/18446744073709551616", + "floor_float": 129.91274882081592 + }, + "r=[193/512,97/256],b=[7/8,1],k=[1,5/4]": { + "floor": "249800323291164416429/4611686018427387904", + "floor_float": 54.16681063997236 + }, + "r=[193/512,97/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "28779579011632618433/2305843009213693952", + "floor_float": 12.481152835052125 + }, + "r=[193/512,97/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2277158446198446153449/18446744073709551616", + "floor_float": 123.44500672310355 + }, + "r=[193/512,97/256],b=[7/8,1],k=[3/4,1]": { + "floor": "68646569596453811699/2305843009213693952", + "floor_float": 29.77070395606104 + }, + "r=[193/512,97/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "394119471414840737693/4611686018427387904", + "floor_float": 85.4610374253618 + }, + "r=[193/512,97/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3097519359046938899545/18446744073709551616", + "floor_float": 167.9168609197299 + }, + "r=[195/512,49/128],b=[0,1/8],k=[1,5/4]": { + "floor": "94167349318183419767/4611686018427387904", + "floor_float": 20.41928894159517 + }, + "r=[195/512,49/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "86744438980148368603/18446744073709551616", + "floor_float": 4.7024254596656565 + }, + "r=[195/512,49/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "855534248503331430793/18446744073709551616", + "floor_float": 46.378604543153266 + }, + "r=[195/512,49/128],b=[0,1/8],k=[3/4,1]": { + "floor": "103591002450638650501/9223372036854775808", + "floor_float": 11.231358990693364 + }, + "r=[195/512,49/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "593394399014389706441/18446744073709551616", + "floor_float": 32.16797482760658 + }, + "r=[195/512,49/128],b=[0,1/8],k=[7/4,2]": { + "floor": "580669725519167827355/9223372036854775808", + "floor_float": 62.95633779044433 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "10509628356087783019/288230376151711744", + "floor_float": 36.46259806619403 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "154887133290790911177/18446744073709551616", + "floor_float": 8.39644832019637 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "765321782382980226315/9223372036854775808", + "floor_float": 82.97635391101056 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "11554561344870078299/576460752303423488", + "floor_float": 20.043968819560273 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1060550725800563022651/18446744073709551616", + "floor_float": 57.49257004720245 + }, + "r=[195/512,49/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1040048270508819172703/9223372036854775808", + "floor_float": 112.76225943754534 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "253969350185155997005/9223372036854775808", + "floor_float": 27.535412121547797 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "58487759112799960845/9223372036854775808", + "floor_float": 6.341255549390658 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "144344938214410352661/2305843009213693952", + "floor_float": 62.599638239739846 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "69823347069317380557/4611686018427387904", + "floor_float": 15.140524916552657 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "800488869058155867723/18446744073709551616", + "floor_float": 43.394588544165856 + }, + "r=[195/512,49/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1568439685391983507563/18446744073709551616", + "floor_float": 85.02528571572348 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "109593849739259024223/4611686018427387904", + "floor_float": 23.764377995670912 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "100957698706481515479/18446744073709551616", + "floor_float": 5.472927813335213 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "996123858949304898723/18446744073709551616", + "floor_float": 53.99998259687403 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "120543111162117380837/9223372036854775808", + "floor_float": 13.069310300012932 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "172679405104416655047/4611686018427387904", + "floor_float": 37.44387723154261 + }, + "r=[195/512,49/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "676294957722078485159/9223372036854775808", + "floor_float": 73.324046240327 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "218879269179467578027/4611686018427387904", + "floor_float": 47.46187583128365 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "50388470122132765853/4611686018427387904", + "floor_float": 10.926257754927455 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1994233292734592011065/18446744073709551616", + "floor_float": 108.10760342128827 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "240571187751502195689/9223372036854775808", + "floor_float": 26.082780439759684 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "172637237509283190873/2305843009213693952", + "floor_float": 74.86946718378434 + }, + "r=[195/512,49/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2711622207263864332529/18446744073709551616", + "floor_float": 146.99733440377102 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "18305059695719821745/576460752303423488", + "floor_float": 31.754216783322043 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "67449790337249037547/9223372036854775808", + "floor_float": 7.312920921733719 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1332328969298080804503/18446744073709551616", + "floor_float": 72.2256981489176 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "322041193739085751861/18446744073709551616", + "floor_float": 17.4578880940871 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "923364243212834330197/18446744073709551616", + "floor_float": 50.05567592433943 + }, + "r=[195/512,49/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "452524488911938216961/4611686018427387904", + "floor_float": 98.12560679624319 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "769014869731558974523/18446744073709551616", + "floor_float": 41.68837962183067 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "44265914859217277439/4611686018427387904", + "floor_float": 9.59864021148435 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1750849716831222448713/18446744073709551616", + "floor_float": 94.91375333420208 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "211337754124433093241/9223372036854775808", + "floor_float": 22.913285214991774 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1212841427501886289819/18446744073709551616", + "floor_float": 65.74826552889827 + }, + "r=[195/512,49/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1190007376741234205533/9223372036854775808", + "floor_float": 129.02085831366222 + }, + "r=[195/512,49/128],b=[7/8,1],k=[1,5/4]": { + "floor": "248202814731732255829/4611686018427387904", + "floor_float": 53.820406189832255 + }, + "r=[195/512,49/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "114254806772519764207/9223372036854775808", + "floor_float": 12.387530971967745 + }, + "r=[195/512,49/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2262528763680499274829/18446744073709551616", + "floor_float": 122.65193004466698 + }, + "r=[195/512,49/128],b=[7/8,1],k=[3/4,1]": { + "floor": "17047490833048264691/576460752303423488", + "floor_float": 29.57268255458824 + }, + "r=[195/512,49/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "195806646700497543721/2305843009213693952", + "floor_float": 84.91759669591242 + }, + "r=[195/512,49/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3077245278082137712991/18446744073709551616", + "floor_float": 166.8178007883707 + }, + "r=[197/512,99/256],b=[0,1/8],k=[1,5/4]": { + "floor": "93460108980732233337/4611686018427387904", + "floor_float": 20.265930639528378 + }, + "r=[197/512,99/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "86006760639054172819/18446744073709551616", + "floor_float": 4.662435836665165 + }, + "r=[197/512,99/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "848970189362307014485/18446744073709551616", + "floor_float": 46.02276618410217 + }, + "r=[197/512,99/256],b=[0,1/8],k=[3/4,1]": { + "floor": "102794434967802741385/9223372036854775808", + "floor_float": 11.144994971151164 + }, + "r=[197/512,99/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "294457449776795735033/9223372036854775808", + "floor_float": 31.925140675254326 + }, + "r=[197/512,99/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1152224587107883405907/18446744073709551616", + "floor_float": 62.46222002667903 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "668000260624506734587/18446744073709551616", + "floor_float": 36.212366689498666 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "76829190551091553103/9223372036854775808", + "floor_float": 8.329837530579626 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1519979218049719981369/18446744073709551616", + "floor_float": 82.39823851711623 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "367116306349083603221/18446744073709551616", + "floor_float": 19.90141484492652 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1053273068952619500201/18446744073709551616", + "floor_float": 57.098047478945226 + }, + "r=[197/512,99/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2065272916310927894861/18446744073709551616", + "floor_float": 111.95866913198907 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "63035419407241532319/2305843009213693952", + "floor_float": 27.33725546594648 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "116017744956150617769/18446744073709551616", + "floor_float": 6.289334556416383 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1146339283120760965413/18446744073709551616", + "floor_float": 62.14317705825024 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "69307080443996396083/4611686018427387904", + "floor_float": 15.028577437201703 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "794741079071669942723/18446744073709551616", + "floor_float": 43.08300022464893 + }, + "r=[197/512,99/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1556707897036268173919/18446744073709551616", + "floor_float": 84.38930419460314 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "435152356939838545269/18446744073709551616", + "floor_float": 23.58965653781803 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "782154280197708117/144115188075855872", + "floor_float": 5.427285566778823 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "988683699133595789079/18446744073709551616", + "floor_float": 53.59665072508247 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "239268581970178920751/18446744073709551616", + "floor_float": 12.9707758189797 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "85703106297188897575/2305843009213693952", + "floor_float": 37.167797614467325 + }, + "r=[197/512,99/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "671114951612175124937/9223372036854775808", + "floor_float": 72.76242885254244 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "434872443252956243627/9223372036854775808", + "floor_float": 47.14896477289344 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "100002090542170193263/9223372036854775808", + "floor_float": 10.842248381891304 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "123810934264387372481/1152921504606846976", + "floor_float": 107.38886712552701 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "477852749937613593649/18446744073709551616", + "floor_float": 25.904449480526658 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "686011155908030088561/9223372036854775808", + "floor_float": 74.37747855847783 + }, + "r=[197/512,99/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2693235883570673362423/18446744073709551616", + "floor_float": 146.00060979916205 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "145412141106815961923/4611686018427387904", + "floor_float": 31.531231858755717 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "66906423188620310653/9223372036854775808", + "floor_float": 7.254008937433667 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1322833652163457745429/18446744073709551616", + "floor_float": 71.71095597562775 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "319705191548095018125/18446744073709551616", + "floor_float": 17.33125316156695 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "458443550812055800233/9223372036854775808", + "floor_float": 49.704549375239964 + }, + "r=[197/512,99/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "898436557553168822989/9223372036854775808", + "floor_float": 97.40868675395436 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "190960954472518812063/4611686018427387904", + "floor_float": 41.40805633980208 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "175680719533772582827/18446744073709551616", + "floor_float": 9.52367088911664 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1738921770402145154485/18446744073709551616", + "floor_float": 94.26713806261726 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "419730999893525541683/18446744073709551616", + "floor_float": 22.75366309720367 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "602346971171045931449/9223372036854775808", + "floor_float": 65.30658947337115 + }, + "r=[197/512,99/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2363486247295461389821/18446744073709551616", + "floor_float": 128.12484619786758 + }, + "r=[197/512,99/256],b=[7/8,1],k=[1,5/4]": { + "floor": "493195249839753530653/9223372036854775808", + "floor_float": 53.47233613357919 + }, + "r=[197/512,99/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "56695045253027151339/4611686018427387904", + "floor_float": 12.293778246499205 + }, + "r=[197/512,99/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "561957443512230433461/4611686018427387904", + "floor_float": 121.85509622007207 + }, + "r=[197/512,99/256],b=[7/8,1],k=[3/4,1]": { + "floor": "135463481676236311331/4611686018427387904", + "floor_float": 29.373960225165145 + }, + "r=[197/512,99/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1556378105814162299505/18446744073709551616", + "floor_float": 84.37142617662946 + }, + "r=[197/512,99/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3056843756715718310701/18446744073709551616", + "floor_float": 165.71183209899664 + }, + "r=[199/512,25/64],b=[0,1/8],k=[1,5/4]": { + "floor": "370999015369248791747/18446744073709551616", + "floor_float": 20.11189692266613 + }, + "r=[199/512,25/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "10658730549989084657/2305843009213693952", + "floor_float": 4.622487527294313 + }, + "r=[199/512,25/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "842397291989257763423/18446744073709551616", + "floor_float": 45.66644870353296 + }, + "r=[199/512,25/64],b=[0,1/8],k=[3/4,1]": { + "floor": "50997769045076484069/4611686018427387904", + "floor_float": 11.058378398117187 + }, + "r=[199/512,25/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "292206110279253708727/9223372036854775808", + "floor_float": 31.681049957830577 + }, + "r=[199/512,25/64],b=[0,1/8],k=[7/4,2]": { + "floor": "1143059054294610603579/18446744073709551616", + "floor_float": 61.96535549727215 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "331683029230590834713/9223372036854775808", + "floor_float": 35.961146086837964 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "19053395034104984247/2305843009213693952", + "floor_float": 8.263092915680458 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1509250880793582083699/18446744073709551616", + "floor_float": 81.81665418910313 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "364483310541016471391/18446744073709551616", + "floor_float": 19.75867985616394 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1045956431584467183995/18446744073709551616", + "floor_float": 56.70141177245326 + }, + "r=[199/512,25/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2050406344070194046611/18446744073709551616", + "floor_float": 111.15275063594825 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "500617207278798644577/18446744073709551616", + "floor_float": 27.138513185764978 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "14382282933986426469/2305843009213693952", + "floor_float": 6.2373209609317115 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1137870861075739893631/18446744073709551616", + "floor_float": 61.68410297931344 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "275156101937800437857/18446744073709551616", + "floor_float": 14.916242174680308 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "788974612599745873987/18446744073709551616", + "floor_float": 42.77039945082769 + }, + "r=[199/512,25/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1544900378736170452907/18446744073709551616", + "floor_float": 83.74921734497173 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "431914869804022734849/18446744073709551616", + "floor_float": 23.414152008515764 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "24818286789916423187/4611686018427387904", + "floor_float": 5.381608090999136 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "122651266773017211399/2305843009213693952", + "floor_float": 53.19150795736177 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "237444777575738425595/18446744073709551616", + "floor_float": 12.87190718464765 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "680527100214539446731/18446744073709551616", + "floor_float": 36.89144802439321 + }, + "r=[199/512,25/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "332951046496723206127/4611686018427387904", + "floor_float": 72.1972495886139 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "431972747201441014935/9223372036854775808", + "floor_float": 46.8345790970334 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "198453131594634908029/18446744073709551616", + "floor_float": 10.758165820572744 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "245958138257099528307/2305843009213693952", + "floor_float": 106.66733913553495 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "237275712119997322079/9223372036854775808", + "floor_float": 25.725484255854624 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "340724585933343335757/4611686018427387904", + "floor_float": 73.88286725763096 + }, + "r=[199/512,25/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2674735007994789140189/18446744073709551616", + "floor_float": 144.99767532454916 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "288764035356215834499/9223372036854775808", + "floor_float": 31.307859446889022 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "66361965462000473559/9223372036854775808", + "floor_float": 7.194978712430893 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "656640857801114014139/9223372036854775808", + "floor_float": 71.1931444570713 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "158680463510206840471/9223372036854775808", + "floor_float": 17.204170326877307 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "455189027493074138877/9223372036854775808", + "floor_float": 49.351693249955495 + }, + "r=[199/512,25/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "891783432952138102701/9223372036854775808", + "floor_float": 96.68735353932892 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "379324624220343990257/9223372036854775808", + "floor_float": 41.12645816569445 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "87147828570622810363/9223372036854775808", + "floor_float": 9.448586506366356 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "431736522498691422825/4611686018427387904", + "floor_float": 93.61793512688362 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "104194812236948417861/4611686018427387904", + "floor_float": 22.59364835780374 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "74781388188969046323/1152921504606846976", + "floor_float": 64.86251482876966 + }, + "r=[199/512,25/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2346879056475983693719/18446744073709551616", + "floor_float": 127.22456857959962 + }, + "r=[199/512,25/64],b=[7/8,1],k=[1,5/4]": { + "floor": "979939228574433348913/18446744073709551616", + "floor_float": 53.1226120262085 + }, + "r=[199/512,25/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "112523642691267538445/9223372036854775808", + "floor_float": 12.199837786185492 + }, + "r=[199/512,25/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1116525291996967255429/9223372036854775808", + "floor_float": 121.0539147218124 + }, + "r=[199/512,25/64],b=[7/8,1],k=[3/4,1]": { + "floor": "269087170390470916217/9223372036854775808", + "floor_float": 29.174489472532567 + }, + "r=[199/512,25/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "386567904246450030505/4611686018427387904", + "floor_float": 83.82355231943392 + }, + "r=[199/512,25/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1518154110839776605507/9223372036854775808", + "floor_float": 164.5985985140285 + }, + "r=[201/512,101/256],b=[0,1/8],k=[1,5/4]": { + "floor": "46018163036995395033/2305843009213693952", + "floor_float": 19.95719693540102 + }, + "r=[201/512,101/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "84532418886874317749/18446744073709551616", + "floor_float": 4.582511610130191 + }, + "r=[201/512,101/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "835793018825105137081/18446744073709551616", + "floor_float": 45.30843033791985 + }, + "r=[201/512,101/256],b=[0,1/8],k=[3/4,1]": { + "floor": "25298505195573922249/2305843009213693952", + "floor_float": 10.971477717470828 + }, + "r=[201/512,101/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "579906945108112181419/18446744073709551616", + "floor_float": 31.43681848628237 + }, + "r=[201/512,101/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1133836121857491883907/18446744073709551616", + "floor_float": 61.46537932802159 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "658710874846349955409/18446744073709551616", + "floor_float": 35.708788077411995 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "75596755980161935737/9223372036854775808", + "floor_float": 8.196216706654813 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "374618391290719062791/4611686018427387904", + "floor_float": 81.23241473808447 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "22615324087987443327/1152921504606846976", + "floor_float": 19.615666806127795 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1038601022194056427949/18446744073709551616", + "floor_float": 56.30267423042308 + }, + "r=[201/512,101/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2035467805859283404613/18446744073709551616", + "floor_float": 110.3429308568469 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "248475646614750882199/9223372036854775808", + "floor_float": 26.93978358694534 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "57048524758938527661/9223372036854775808", + "floor_float": 6.185213448073424 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1129353013873536323581/18446744073709551616", + "floor_float": 61.222349557237 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "68269213116961394175/4611686018427387904", + "floor_float": 14.803525835057087 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "97897383847880829517/2305843009213693952", + "floor_float": 42.45622249940789 + }, + "r=[201/512,101/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1533017951771832980599/18446744073709551616", + "floor_float": 83.10506968851497 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "428663363980356103169/18446744073709551616", + "floor_float": 23.23788752462233 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "98429131428522901811/18446744073709551616", + "floor_float": 5.335853906533289 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "973693540957220822357/18446744073709551616", + "floor_float": 52.78403262204611 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "29451859737910553137/2305843009213693952", + "floor_float": 12.772708124632393 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "337708118941030048473/9223372036854775808", + "floor_float": 36.61438762218579 + }, + "r=[201/512,101/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1321312680925343244685/18446744073709551616", + "floor_float": 71.62850395959516 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "858119303565924987449/18446744073709551616", + "floor_float": 46.5187406588962 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "98449598490612956595/9223372036854775808", + "floor_float": 10.67392685638482 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "61071256466504081435/576460752303423488", + "floor_float": 105.94174229984502 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "471238047888303683875/18446744073709551616", + "floor_float": 25.54586576391635 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "676873898416123995819/9223372036854775808", + "floor_float": 73.38681511614942 + }, + "r=[201/512,101/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1328057194945084822135/9223372036854775808", + "floor_float": 143.98824959444661 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "143347914270182838889/4611686018427387904", + "floor_float": 31.083624014599614 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "32908230056751525537/4611686018427387904", + "floor_float": 7.135834904036556 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "651836865607904841359/9223372036854775808", + "floor_float": 70.67229457982322 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "315014674002086655767/18446744073709551616", + "floor_float": 17.076979695893765 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "451917377534477450001/9223372036854775808", + "floor_float": 48.99698025068324 + }, + "r=[201/512,101/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1770249223615264160857/18446744073709551616", + "floor_float": 95.96540270422234 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "23544713847475978713/576460752303423488", + "floor_float": 40.84356784637279 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "86455442797826159385/9223372036854775808", + "floor_float": 9.373517890459938 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "214367495898251711337/2305843009213693952", + "floor_float": 92.96708190526479 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "206908584930762018847/9223372036854775808", + "floor_float": 22.43307372878337 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "297066704428591395285/4611686018427387904", + "floor_float": 64.4160732629176 + }, + "r=[201/512,101/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "72817690198804433623/576460752303423488", + "floor_float": 126.3185566542723 + }, + "r=[201/512,101/256],b=[7/8,1],k=[1,5/4]": { + "floor": "973461677427124648421/18446744073709551616", + "floor_float": 52.77146327489359 + }, + "r=[201/512,101/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "223310480973128164035/18446744073709551616", + "floor_float": 12.105685430492423 + }, + "r=[201/512,101/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1109091441132293706177/9223372036854775808", + "floor_float": 120.24793499607118 + }, + "r=[201/512,101/256],b=[7/8,1],k=[3/4,1]": { + "floor": "267240593623263859527/9223372036854775808", + "floor_float": 28.974283218265853 + }, + "r=[201/512,101/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1536120168819373180813/18446744073709551616", + "floor_float": 83.27324121163821 + }, + "r=[201/512,101/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3015639408153963480991/18446744073709551616", + "floor_float": 163.4781398876714 + }, + "r=[203/512,51/128],b=[0,1/8],k=[1,5/4]": { + "floor": "91320225307031193387/4611686018427387904", + "floor_float": 19.801917333949792 + }, + "r=[203/512,51/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "41896929155850965479/9223372036854775808", + "floor_float": 4.542474161124489 + }, + "r=[203/512,51/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "414575744618808913971/9223372036854775808", + "floor_float": 44.94839229755083 + }, + "r=[203/512,51/128],b=[0,1/8],k=[3/4,1]": { + "floor": "200779622542543976989/18446744073709551616", + "floor_float": 10.884285147572287 + }, + "r=[203/512,51/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "143849187421218285469/4611686018427387904", + "floor_float": 31.192320302471874 + }, + "r=[203/512,51/128],b=[0,1/8],k=[7/4,2]": { + "floor": "140569559577683199507/2305843009213693952", + "floor_float": 60.96232875178187 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "163508819114907109953/4611686018427387904", + "floor_float": 35.45532338098433 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "74980526882339618323/9223372036854775808", + "floor_float": 8.129405013994038 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "743843804700444326301/9223372036854775808", + "floor_float": 80.6477069046105 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "359197961310703163939/18446744073709551616", + "floor_float": 19.47216050027143 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1031208371172213259903/18446744073709551616", + "floor_float": 55.9019178155076 + }, + "r=[203/512,51/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2020434779685800044135/18446744073709551616", + "floor_float": 109.5279888750308 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "493270748943131989279/18446744073709551616", + "floor_float": 26.740260881384778 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "56567082995021928691/9223372036854775808", + "floor_float": 6.133015427437061 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1120786479998326164789/18446744073709551616", + "floor_float": 60.75795682532833 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "270993911136287843173/18446744073709551616", + "floor_float": 14.690609359215351 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "388676928487249893325/9223372036854775808", + "floor_float": 42.140437026086936 + }, + "r=[203/512,51/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1521125437759703654749/18446744073709551616", + "floor_float": 82.46037521210174 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "13294298514448342247/576460752303423488", + "floor_float": 23.061931729657132 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "97583770681521513819/18446744073709551616", + "floor_float": 5.290026808611645 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "483067118019509246139/9223372036854775808", + "floor_float": 52.37424188130635 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "233779103149687814875/18446744073709551616", + "floor_float": 12.673190575830217 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "83784934785966380413/2305843009213693952", + "floor_float": 36.33592332660042 + }, + "r=[203/512,51/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1310758711435221454979/18446744073709551616", + "floor_float": 71.05637212711838 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "426135182331823904761/9223372036854775808", + "floor_float": 46.201669045667 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "48835509980429332563/4611686018427387904", + "floor_float": 10.589513203043804 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "30325260540584819651/288230376151711744", + "floor_float": 105.21188274973122 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "467912952401716388075/18446744073709551616", + "floor_float": 25.365611976402366 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "84034930704665678349/1152921504606846976", + "floor_float": 72.88868354773388 + }, + "r=[203/512,51/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2637375293741478195701/18446744073709551616", + "floor_float": 142.9724011567053 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "71154164599078601207/2305843009213693952", + "floor_float": 30.858199935884876 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "16317511182799075879/2305843009213693952", + "floor_float": 7.076592429578908 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1294022751586256104909/18446744073709551616", + "floor_float": 70.14911392577446 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "156333256290173333149/9223372036854775808", + "floor_float": 16.949685610153907 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "897257706833867744823/18446744073709551616", + "floor_float": 48.64043775143206 + }, + "r=[203/512,51/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1756868949027584234385/18446744073709551616", + "floor_float": 95.24005656540159 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "5845228451215194757/144115188075855872", + "floor_float": 40.55942006708221 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "171523616114598387133/18446744073709551616", + "floor_float": 9.298313861200862 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1702864183299944334009/18446744073709551616", + "floor_float": 92.31245234907769 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "410844718203433185049/18446744073709551616", + "floor_float": 22.271936801517857 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "590006724904251861341/9223372036854775808", + "floor_float": 63.96865729222473 + }, + "r=[203/512,51/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1156673499653584461727/9223372036854775808", + "floor_float": 125.40679211808276 + }, + "r=[203/512,51/128],b=[7/8,1],k=[1,5/4]": { + "floor": "241743903786263835195/4611686018427387904", + "floor_float": 52.4198531340388 + }, + "r=[203/512,51/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "221569928017955469159/18446744073709551616", + "floor_float": 12.011329865726207 + }, + "r=[203/512,51/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1101613763233267547637/9223372036854775808", + "floor_float": 119.43720353374408 + }, + "r=[203/512,51/128],b=[7/8,1],k=[3/4,1]": { + "floor": "265387474043702586315/9223372036854775808", + "floor_float": 28.773367590862275 + }, + "r=[203/512,51/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1525914838001647540441/18446744073709551616", + "floor_float": 82.72000911946265 + }, + "r=[203/512,51/128],b=[7/8,1],k=[7/4,2]": { + "floor": "374355898123892431511/2305843009213693952", + "floor_float": 162.35099121147454 + }, + "r=[205/512,103/256],b=[0,1/8],k=[1,5/4]": { + "floor": "181208227230505844907/9223372036854775808", + "floor_float": 19.64663536355614 + }, + "r=[205/512,103/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "10381778425172452469/2305843009213693952", + "floor_float": 4.502378689134045 + }, + "r=[205/512,103/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "822473299822243925845/18446744073709551616", + "floor_float": 44.58636692392992 + }, + "r=[205/512,103/256],b=[0,1/8],k=[3/4,1]": { + "floor": "199166163038628436429/18446744073709551616", + "floor_float": 10.796819332604157 + }, + "r=[205/512,103/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "570864383112187239647/18446744073709551616", + "floor_float": 30.946620218241534 + }, + "r=[205/512,103/256],b=[0,1/8],k=[7/4,2]": { + "floor": "557614068879630590867/9223372036854775808", + "floor_float": 60.45663848877772 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "649339767154526084521/18446744073709551616", + "floor_float": 35.20077931150844 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "74363705352736843629/9223372036854775808", + "floor_float": 8.062529089750923 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1476839964084095556345/18446744073709551616", + "floor_float": 80.05965487366954 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "356541994000869130945/18446744073709551616", + "floor_float": 19.3281802239028 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "255949595330389490015/4611686018427387904", + "floor_float": 55.5002214607988 + }, + "r=[205/512,103/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2005308402825413135603/18446744073709551616", + "floor_float": 108.7079863423375 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "489574536319831550935/18446744073709551616", + "floor_float": 26.539888793577244 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "3505313695972079093/576460752303423488", + "floor_float": 6.080749959065794 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1112187030733841019307/18446744073709551616", + "floor_float": 60.291779746591644 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "1050436324495501251/72057594037927936", + "floor_float": 14.577732416969098 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "385749784197759510329/9223372036854775808", + "floor_float": 41.823075406302536 + }, + "r=[205/512,103/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1509192611172835518965/18446744073709551616", + "floor_float": 81.81349538663297 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "211080850014301446513/9223372036854775808", + "floor_float": 22.885431615559256 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "24184283318431986871/4611686018427387904", + "floor_float": 5.244130502769781 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "29954202755711072411/576460752303423488", + "floor_float": 51.96225872450117 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "231940702603765344889/18446744073709551616", + "floor_float": 12.573530682540834 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "83139654213341272171/2305843009213693952", + "floor_float": 36.05607748711929 + }, + "r=[205/512,103/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1300192916108854152915/18446744073709551616", + "floor_float": 70.48359921477415 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "846411632883030963039/18446744073709551616", + "floor_float": 45.88406655943927 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "12111363825796613167/1152921504606846976", + "floor_float": 10.504933577352832 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1927275669957044099651/18446744073709551616", + "floor_float": 104.47782341729416 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "464577122766606472773/18446744073709551616", + "floor_float": 25.184776289530983 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1335322395829120957599/18446744073709551616", + "floor_float": 72.38797212632409 + }, + "r=[205/512,103/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2618537533341221122493/18446744073709551616", + "floor_float": 141.9512041191693 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "565055548620231801705/18446744073709551616", + "floor_float": 30.631722669452195 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "32361794788504010927/4611686018427387904", + "floor_float": 7.017345643045225 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1284361638645704058573/18446744073709551616", + "floor_float": 69.62538394383574 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "310310616253408307743/18446744073709551616", + "floor_float": 16.821972214363047 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "445325271159489714915/9223372036854775808", + "floor_float": 48.28226264538151 + }, + "r=[205/512,103/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1743405930978743389115/18446744073709551616", + "floor_float": 94.51022489456335 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "371464596190803813165/9223372036854775808", + "floor_float": 40.27427221915201 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "21266712918388384025/2305843009213693952", + "floor_float": 9.222966539096891 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1690718996412392028329/18446744073709551616", + "floor_float": 91.65406044864136 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "407862178958580681783/18446744073709551616", + "floor_float": 22.11025302507824 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "292933848779347356705/4611686018427387904", + "floor_float": 63.51990304822173 + }, + "r=[205/512,103/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2296424154087975159669/18446744073709551616", + "floor_float": 124.48940284051848 + }, + "r=[205/512,103/256],b=[7/8,1],k=[1,5/4]": { + "floor": "480230209403784085387/9223372036854775808", + "floor_float": 52.06666363287514 + }, + "r=[205/512,103/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "109912976580540586029/9223372036854775808", + "floor_float": 11.916788799297047 + }, + "r=[205/512,103/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2188188670424822856541/18446744073709551616", + "floor_float": 118.62194551413802 + }, + "r=[205/512,103/256],b=[7/8,1],k=[3/4,1]": { + "floor": "527060100764435250031/18446744073709551616", + "floor_float": 28.571985313961477 + }, + "r=[205/512,103/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1515656451054063632735/18446744073709551616", + "floor_float": 82.16390084872427 + }, + "r=[205/512,103/256],b=[7/8,1],k=[7/4,2]": { + "floor": "371748935269111468521/2305843009213693952", + "floor_float": 161.22040129517754 + }, + "r=[207/512,13/32],b=[0,1/8],k=[1,5/4]": { + "floor": "179774322059030033041/9223372036854775808", + "floor_float": 19.49117105335091 + }, + "r=[207/512,13/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "82313768658399222489/18446744073709551616", + "floor_float": 4.462238340245283 + }, + "r=[207/512,13/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "50985195522885894775/1152921504606846976", + "floor_float": 44.22260780040888 + }, + "r=[207/512,13/32],b=[0,1/8],k=[3/4,1]": { + "floor": "98774377525057574287/9223372036854775808", + "floor_float": 10.70913946985708 + }, + "r=[207/512,13/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "141577569735561185495/4611686018427387904", + "floor_float": 30.699741736502688 + }, + "r=[207/512,13/32],b=[0,1/8],k=[7/4,2]": { + "floor": "552940388910233444097/9223372036854775808", + "floor_float": 59.94991709114548 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "322315006533751411773/9223372036854775808", + "floor_float": 34.94546303085728 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "73745851364858784897/9223372036854775808", + "floor_float": 7.995541226157299 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1465931549749801308781/18446744073709551616", + "floor_float": 79.46830854768885 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "176938767857360895441/9223372036854775808", + "floor_float": 19.183739650785903 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1016365627544236177853/18446744073709551616", + "floor_float": 55.097291071152696 + }, + "r=[207/512,13/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "995046873668596741421/9223372036854775808", + "floor_float": 107.88319821564019 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "485863059738100149289/18446744073709551616", + "floor_float": 26.33868924492513 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "1737593779362122339/288230376151711744", + "floor_float": 6.028489441541476 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1103568402356755733935/18446744073709551616", + "floor_float": 59.82456296607759 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "33353089935175255839/2305843009213693952", + "floor_float": 14.464597026728569 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "191405531982909799753/4611686018427387904", + "floor_float": 41.5044587203229 + }, + "r=[207/512,13/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "748594472124181758881/9223372036854775808", + "floor_float": 81.16277529876773 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "209446279170462145051/9223372036854775808", + "floor_float": 22.708211089562052 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "23972442913363565907/4611686018427387904", + "floor_float": 5.198194937290703 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "950909164540706947589/18446744073709551616", + "floor_float": 51.54888910157052 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "230101230313888286561/18446744073709551616", + "floor_float": 12.473812689895254 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "659930774496143817359/18446744073709551616", + "floor_float": 35.774918969938035 + }, + "r=[207/512,13/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "322398650291826667429/4611686018427387904", + "floor_float": 69.90906341055857 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "840531228261446042519/18446744073709551616", + "floor_float": 45.56528918614846 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "192218778915655487171/18446744073709551616", + "floor_float": 10.420200884643227 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1913663411999869504499/18446744073709551616", + "floor_float": 103.73990143481407 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "57654277771668466131/2305843009213693952", + "floor_float": 25.00355728525027 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1326039220681421715147/18446744073709551616", + "floor_float": 71.88473019318913 + }, + "r=[207/512,13/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "324954170276595276125/2305843009213693952", + "floor_float": 140.92640694884366 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "560861342826767282235/18446744073709551616", + "floor_float": 30.404354317795917 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "64176747885427682573/9223372036854775808", + "floor_float": 6.958056948043519 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "637328157096906095519/9223372036854775808", + "floor_float": 69.09925725106484 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "153973695948542807583/9223372036854775808", + "floor_float": 16.693861565303262 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "884026570432109774639/18446744073709551616", + "floor_float": 47.92317640987016 + }, + "r=[207/512,13/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "864930861676723941773/9223372036854775808", + "floor_float": 93.77599192796634 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "184414663457696839757/4611686018427387904", + "floor_float": 39.98855575180362 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "42185323837326391943/4611686018427387904", + "floor_float": 9.147483950286762 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1678506299800686397157/18446744073709551616", + "floor_float": 90.99200883872548 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "404870909798762724215/18446744073709551616", + "floor_float": 21.948095999000063 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1163416370997753278803/18446744073709551616", + "floor_float": 63.068927847048286 + }, + "r=[207/512,13/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1139711376647842079599/9223372036854775808", + "floor_float": 123.56775505680353 + }, + "r=[207/512,13/32],b=[7/8,1],k=[1,5/4]": { + "floor": "238479153974158925803/4611686018427387904", + "floor_float": 51.71192336625764 + }, + "r=[207/512,13/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "13629968426938964075/1152921504606846976", + "floor_float": 11.822113103516847 + }, + "r=[207/512,13/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "271636109722114724779/2305843009213693952", + "floor_float": 117.80338411449105 + }, + "r=[207/512,13/32],b=[7/8,1],k=[3/4,1]": { + "floor": "130834667073457235841/4611686018427387904", + "floor_float": 28.370246055492007 + }, + "r=[207/512,13/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1505347247120136503411/18446744073709551616", + "floor_float": 81.60503778363628 + }, + "r=[207/512,13/32],b=[7/8,1],k=[7/4,2]": { + "floor": "2953030999890660082413/18446744073709551616", + "floor_float": 160.08413127492474 + }, + "r=[209/512,105/256],b=[0,1/8],k=[1,5/4]": { + "floor": "356670741229949643649/18446744073709551616", + "floor_float": 19.335159625176328 + }, + "r=[209/512,105/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "40786506134158775191/9223372036854775808", + "floor_float": 4.42208185587483 + }, + "r=[209/512,105/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "809032726671792320231/18446744073709551616", + "floor_float": 43.857751993471425 + }, + "r=[209/512,105/256],b=[0,1/8],k=[3/4,1]": { + "floor": "195930339065541661727/18446744073709551616", + "floor_float": 10.621404963534088 + }, + "r=[209/512,105/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "17554266331839885585/576460752303423488", + "floor_float": 30.45179790939192 + }, + "r=[209/512,105/256],b=[0,1/8],k=[7/4,2]": { + "floor": "548258007198591712697/9223372036854775808", + "floor_float": 59.44225224872864 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "39994226055306817297/1152921504606846976", + "floor_float": 34.68946142083201 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "73127042766620468123/9223372036854775808", + "floor_float": 7.92844986350103 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1454965584401111309949/18446744073709551616", + "floor_float": 78.87384237496632 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "351205917326337752523/18446744073709551616", + "floor_float": 19.038910927748994 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1008905133139716138367/18446744073709551616", + "floor_float": 54.69285685909286 + }, + "r=[209/512,105/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "987404473362318954077/9223372036854775808", + "floor_float": 107.05460751413317 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "241068984482163096033/9223372036854775808", + "floor_float": 26.13675166944356 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "27560555902043290959/4611686018427387904", + "floor_float": 5.976242916780706 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1069262768126711133/18014398509481984", + "floor_float": 59.356007227435235 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "132365737134739195179/9223372036854775808", + "floor_float": 14.351121976412944 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "759728282765648503399/18446744073709551616", + "floor_float": 41.184952733659884 + }, + "r=[209/512,105/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "371278838097961568009/4611686018427387904", + "floor_float": 80.50826457274076 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "415610625016158000355/18446744073709551616", + "floor_float": 22.530297127528844 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "95042654543702447765/18446744073709551616", + "floor_float": 5.152272626753574 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "943267482591245735419/18446744073709551616", + "floor_float": 51.13463269301807 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "228259597702449502839/18446744073709551616", + "floor_float": 12.37397758598315 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "654725519470919411067/18446744073709551616", + "floor_float": 35.49274152960356 + }, + "r=[209/512,105/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1278944648626828372397/18446744073709551616", + "floor_float": 69.33172832649588 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "417313875575122159791/9223372036854775808", + "floor_float": 45.245261050689294 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "95326916759448008657/9223372036854775808", + "floor_float": 10.335365024693838 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1899997295157365080109/18446744073709551616", + "floor_float": 102.99905975630988 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "457882889678707116921/18446744073709551616", + "floor_float": 24.82188118667974 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1316712715344698700511/18446744073709551616", + "floor_float": 71.3791393258005 + }, + "r=[209/512,105/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1290316198536572019935/9223372036854775808", + "floor_float": 139.8963625646589 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "8697722278484082307/288230376151711744", + "floor_float": 30.176286048025645 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "63629480081457027377/9223372036854775808", + "floor_float": 6.898722053843884 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "632450376129701377975/9223372036854775808", + "floor_float": 68.57040717890966 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "152788659042806563693/9223372036854775808", + "floor_float": 16.56537960653579 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "877384130310733809169/18446744073709551616", + "floor_float": 47.56308900936013 + }, + "r=[209/512,105/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "858121788963459277893/9223372036854775808", + "floor_float": 93.03775078513301 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "366185439709023527695/9223372036854775808", + "floor_float": 39.7019049265083 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "20918345369435203947/2305843009213693952", + "floor_float": 9.071886197737497 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1666234922743133620041/18446744073709551616", + "floor_float": 90.3267761554661 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "200936329564419920673/9223372036854775808", + "floor_float": 21.785560504500737 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "577528425421275239127/9223372036854775808", + "floor_float": 62.61575735138793 + }, + "r=[209/512,105/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1131173290933957276013/9223372036854775808", + "floor_float": 122.6420539488174 + }, + "r=[209/512,105/256],b=[7/8,1],k=[1,5/4]": { + "floor": "473672751507113382627/9223372036854775808", + "floor_float": 51.35570262311988 + }, + "r=[209/512,105/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "108165548553414180957/9223372036854775808", + "floor_float": 11.727332272969797 + }, + "r=[209/512,105/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2157924418268497713201/18446744073709551616", + "floor_float": 116.98131711731118 + }, + "r=[209/512,105/256],b=[7/8,1],k=[3/4,1]": { + "floor": "129901291626754894443/4611686018427387904", + "floor_float": 28.167852518080146 + }, + "r=[209/512,105/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1494994925596430217113/18446744073709551616", + "floor_float": 81.04383730932274 + }, + "r=[209/512,105/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1465972309822224372965/9223372036854775808", + "floor_float": 158.94103631128488 + }, + "r=[21/128,85/512],b=[0,1/8],k=[1,5/4]": { + "floor": "511588159425052551053/18446744073709551616", + "floor_float": 27.733249693325128 + }, + "r=[21/128,85/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "62121941702101992279/9223372036854775808", + "floor_float": 6.735274415243683 + }, + "r=[21/128,85/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1157813311377665873799/18446744073709551616", + "floor_float": 62.765185376415054 + }, + "r=[21/128,85/512],b=[0,1/8],k=[3/4,1]": { + "floor": "285292961688072300977/18446744073709551616", + "floor_float": 15.465762442851588 + }, + "r=[21/128,85/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "802592420788108063395/18446744073709551616", + "floor_float": 43.50862231194334 + }, + "r=[21/128,85/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1576742289139860495769/18446744073709551616", + "floor_float": 85.47537076676021 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "445406090449679205431/9223372036854775808", + "floor_float": 48.29102509038173 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "108272787039444218039/9223372036854775808", + "floor_float": 11.73895909292258 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2016356896964590804907/18446744073709551616", + "floor_float": 109.30692640975698 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "496871979557257027747/18446744073709551616", + "floor_float": 26.93548398415756 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1397569226875709039677/18446744073709551616", + "floor_float": 75.76237959887654 + }, + "r=[21/128,85/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2746397611880707975185/18446744073709551616", + "floor_float": 148.88251286550323 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "340419235731725632987/9223372036854775808", + "floor_float": 36.9083274936192 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "82717951778125046457/9223372036854775808", + "floor_float": 8.968298302139438 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "192620847195937090189/2305843009213693952", + "floor_float": 83.53597639833335 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "379727968903198936259/18446744073709551616", + "floor_float": 20.585094441917818 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "267032791029750871741/4611686018427387904", + "floor_float": 57.90350643186472 + }, + "r=[21/128,85/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2098709650637622445641/18446744073709551616", + "floor_float": 113.77127813188021 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "591416501141650674915/18446744073709551616", + "floor_float": 32.06075276907767 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "143673958878395838733/18446744073709551616", + "floor_float": 7.78858091727749 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1338510686120130682587/18446744073709551616", + "floor_float": 72.56080968932544 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "329839829072139931485/18446744073709551616", + "floor_float": 17.880652962613077 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "927828219128217839225/18446744073709551616", + "floor_float": 50.29766854360852 + }, + "r=[21/128,85/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "911446622800538805541/9223372036854775808", + "floor_float": 98.81924085449202 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1146913445120921910323/18446744073709551616", + "floor_float": 62.1743024426469 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "34846035476527335997/2305843009213693952", + "floor_float": 15.11205894646316 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2596249809486905735851/18446744073709551616", + "floor_float": 140.742984188039 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "639711967433023699203/18446744073709551616", + "floor_float": 34.67885524279303 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1799397111131353726819/18446744073709551616", + "floor_float": 97.54551285263771 + }, + "r=[21/128,85/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1768262608377867920009/9223372036854775808", + "floor_float": 191.7154161528169 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "780365421141482495399/18446744073709551616", + "floor_float": 42.30369424670805 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "189666270476435120519/18446744073709551616", + "floor_float": 10.281829124888713 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "883149327987841415287/9223372036854775808", + "floor_float": 95.7512420033531 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "217626050298150217653/9223372036854775808", + "floor_float": 23.595063652269413 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "612141589860824079259/9223372036854775808", + "floor_float": 66.36852415958361 + }, + "r=[21/128,85/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2405702628019481741317/18446744073709551616", + "floor_float": 130.41340078264048 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1012792349886799015995/18446744073709551616", + "floor_float": 54.90358330119833 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "123091639467413299461/9223372036854775808", + "floor_float": 13.345622292537197 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1146279738499301439735/9223372036854775808", + "floor_float": 124.27989827570585 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "282461116081436407321/9223372036854775808", + "floor_float": 30.62449556981736 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "794480327234528653051/9223372036854775808", + "floor_float": 86.13772967846704 + }, + "r=[21/128,85/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "390340727212757185085/2305843009213693952", + "floor_float": 169.2833057814572 + }, + "r=[21/128,85/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1293920917880323454359/18446744073709551616", + "floor_float": 70.14359350951423 + }, + "r=[21/128,85/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "157238671019013581419/9223372036854775808", + "floor_float": 17.047850871754804 + }, + "r=[21/128,85/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1464601346151495578697/9223372036854775808", + "floor_float": 158.79239613226457 + }, + "r=[21/128,85/512],b=[7/8,1],k=[3/4,1]": { + "floor": "360830068970178964033/9223372036854775808", + "floor_float": 39.12127446755624 + }, + "r=[21/128,85/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2030096588536140199173/18446744073709551616", + "floor_float": 110.05175658231472 + }, + "r=[21/128,85/512],b=[7/8,1],k=[7/4,2]": { + "floor": "997556029479274162097/4611686018427387904", + "floor_float": 216.3104828674886 + }, + "r=[21/64,169/512],b=[0,1/8],k=[1,5/4]": { + "floor": "413817489329804676897/18446744073709551616", + "floor_float": 22.433091047193564 + }, + "r=[21/64,169/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "48294175588290206637/9223372036854775808", + "floor_float": 5.236065009122066 + }, + "r=[21/64,169/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "940946238972218184991/18446744073709551616", + "floor_float": 51.00879782428718 + }, + "r=[21/64,169/512],b=[0,1/8],k=[3/4,1]": { + "floor": "28533599689595037117/2305843009213693952", + "floor_float": 12.374476308916261 + }, + "r=[21/64,169/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "651820600428509950247/18446744073709551616", + "floor_float": 35.33526555276982 + }, + "r=[21/64,169/512],b=[0,1/8],k=[7/4,2]": { + "floor": "639936885068639024749/9223372036854775808", + "floor_float": 69.3820961045025 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "733070937878833448771/18446744073709551616", + "floor_float": 39.73985517171087 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "85603918401275403531/9223372036854775808", + "floor_float": 9.281195430393463 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "834403576681833246909/9223372036854775808", + "floor_float": 90.46621705681189 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "404327809753513013817/18446744073709551616", + "floor_float": 21.918654486553226 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1155294780401528924539/18446744073709551616", + "floor_float": 62.62865553862507 + }, + "r=[21/64,169/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2271524810817981063367/18446744073709551616", + "floor_float": 123.13960673717898 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "138925678905738097213/4611686018427387904", + "floor_float": 30.124704576724973 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "129750900350265095157/18446744073709551616", + "floor_float": 7.033810402085381 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "632140811021210525947/9223372036854775808", + "floor_float": 68.53684406259451 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "153257682642246530769/9223372036854775808", + "floor_float": 16.616231247081767 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "875535277580363944783/18446744073709551616", + "floor_float": 47.462862502016485 + }, + "r=[21/64,169/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "860142676554812377583/9223372036854775808", + "floor_float": 93.25685585682241 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "60073388549151294751/2305843009213693952", + "floor_float": 26.052679349422263 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "112197541288482360303/18446744073709551616", + "floor_float": 6.082240900625233 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "546521613703962888841/9223372036854775808", + "floor_float": 59.25399208881202 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "132546267084661479627/9223372036854775808", + "floor_float": 14.370695072803388 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "757068865291147496775/18446744073709551616", + "floor_float": 41.04078542348989 + }, + "r=[21/64,169/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "371751327331750160897/4611686018427387904", + "floor_float": 80.61071934349069 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "950905242382401330513/18446744073709551616", + "floor_float": 51.54867648094273 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "222113105295655210919/18446744073709551616", + "floor_float": 12.040775564952549 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2165914509270897050343/18446744073709551616", + "floor_float": 117.4144608184691 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "524423504539300685181/18446744073709551616", + "floor_float": 28.42905514619858 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "93683210569295661743/1152921504606846976", + "floor_float": 81.25723233971786 + }, + "r=[21/64,169/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2949171562958099860447/18446744073709551616", + "floor_float": 159.87491077958214 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "319800899666694992865/9223372036854775808", + "floor_float": 34.67288301814495 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "149362040580609998261/18446744073709551616", + "floor_float": 8.096932444218272 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "181947612129289396547/2305843009213693952", + "floor_float": 78.9071985396502 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "176391671725170895127/9223372036854775808", + "floor_float": 19.12442336927802 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1007869106365844590123/18446744073709551616", + "floor_float": 54.63669373514363 + }, + "r=[21/64,169/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "123808896895417834217/1152921504606846976", + "floor_float": 107.38709998963667 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "418324601371080921813/9223372036854775808", + "floor_float": 45.354844161065856 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "195411620882351634085/18446744073709551616", + "floor_float": 10.59328519447797 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "476289036822830660599/4611686018427387904", + "floor_float": 103.27872169086828 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "115357745529668548259/4611686018427387904", + "floor_float": 25.014223663259326 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1318683484370231386951/18446744073709551616", + "floor_float": 71.48597492874798 + }, + "r=[21/64,169/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2593676417916202195061/18446744073709551616", + "floor_float": 140.6034803514584 + }, + "r=[21/64,169/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1076561779996526096561/18446744073709551616", + "floor_float": 58.360531034354764 + }, + "r=[21/64,169/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "251460294032010072975/18446744073709551616", + "floor_float": 13.631689854167453 + }, + "r=[21/64,169/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "306602555448575547405/2305843009213693952", + "floor_float": 132.96766268278117 + }, + "r=[21/64,169/512],b=[7/8,1],k=[3/4,1]": { + "floor": "593683374263408787945/18446744073709551616", + "floor_float": 32.18364020724563 + }, + "r=[21/64,169/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1697227428924646747295/18446744073709551616", + "floor_float": 92.00688328210445 + }, + "r=[21/64,169/512],b=[7/8,1],k=[7/4,2]": { + "floor": "417557411759633574869/2305843009213693952", + "floor_float": 181.08666118688762 + }, + "r=[211/512,53/128],b=[0,1/8],k=[1,5/4]": { + "floor": "353782416654877304429/18446744073709551616", + "floor_float": 19.178583236219495 + }, + "r=[211/512,53/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "20208008205013349585/4611686018427387904", + "floor_float": 4.381913279496074 + }, + "r=[211/512,53/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "802278841324608941631/18446744073709551616", + "floor_float": 43.491623135164716 + }, + "r=[211/512,53/128],b=[0,1/8],k=[3/4,1]": { + "floor": "194308149444211018595/18446744073709551616", + "floor_float": 10.533465887952582 + }, + "r=[211/512,53/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "278573125970041811037/9223372036854775808", + "floor_float": 30.20295883727974 + }, + "r=[211/512,53/128],b=[0,1/8],k=[7/4,2]": { + "floor": "271774523603685374229/4611686018427387904", + "floor_float": 58.93170578346574 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "635174642598078234217/18446744073709551616", + "floor_float": 34.43288637062701 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "145015134048172792977/18446744073709551616", + "floor_float": 7.861286168915279 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "721976159770616233189/9223372036854775808", + "floor_float": 78.27681209060438 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "174264855498228179229/9223372036854775808", + "floor_float": 18.89383349190515 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "500705265272017228881/9223372036854775808", + "floor_float": 54.28657363828519 + }, + "r=[211/512,53/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1959474454708069212915/18446744073709551616", + "floor_float": 106.2233230362169 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "239201674639247256401/9223372036854775808", + "floor_float": 25.934297530604265 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "13659693896863386271/2305843009213693952", + "floor_float": 5.923947919386507 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1086237017937205146065/18446744073709551616", + "floor_float": 58.88502673408468 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "131316389187516974655/9223372036854775808", + "floor_float": 14.23735144400579 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "753817964925323355647/18446744073709551616", + "floor_float": 40.864553761531866 + }, + "r=[211/512,53/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "368245719808071170931/4611686018427387904", + "floor_float": 79.85056188487982 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "206159025085824251299/9223372036854775808", + "floor_float": 22.351806287554425 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "94195442012939273507/18446744073709551616", + "floor_float": 5.106345143433056 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "935595137902530886635/18446744073709551616", + "floor_float": 50.71871405403996 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "226412922252331597443/18446744073709551616", + "floor_float": 12.273869109238476 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "649504938247824303137/18446744073709551616", + "floor_float": 35.20973325441773 + }, + "r=[211/512,53/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "634118236760196011379/9223372036854775808", + "floor_float": 68.7512369908082 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "414350633277501399087/9223372036854775808", + "floor_float": 44.92398567702116 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "189087666478765354681/18446744073709551616", + "floor_float": 10.250462939324594 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1886279778342424657263/18446744073709551616", + "floor_float": 102.25543167971662 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "454525650764784646821/18446744073709551616", + "floor_float": 24.63988490047836 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1307349780836612954267/18446744073709551616", + "floor_float": 70.87157362907519 + }, + "r=[211/512,53/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "640384942689606691511/4611686018427387904", + "floor_float": 138.86134921821537 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "552438633435403935303/18446744073709551616", + "floor_float": 29.947758326779407 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "126162971444495660645/18446744073709551616", + "floor_float": 6.839308386367443 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1255097474233608766749/18446744073709551616", + "floor_float": 68.0389704122574 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "303201877548127100311/18446744073709551616", + "floor_float": 16.436606716968164 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "870717739322070624069/18446744073709551616", + "floor_float": 47.20170322973281 + }, + "r=[211/512,53/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1702572067502818270767/18446744073709551616", + "floor_float": 92.29661671998463 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "727066150896562677825/18446744073709551616", + "floor_float": 39.414335017136345 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "82975427265423619913/9223372036854775808", + "floor_float": 8.996213850408525 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1653918028082221365253/18446744073709551616", + "floor_float": 89.6590759579843 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "49858763491818880181/2305843009213693952", + "floor_float": 21.622791878108394 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "286665308731994447917/4611686018427387904", + "floor_float": 62.16063010069124 + }, + "r=[211/512,53/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "280651216794408672841/2305843009213693952", + "floor_float": 121.71306358367927 + }, + "r=[211/512,53/128],b=[7/8,1],k=[1,5/4]": { + "floor": "470374981106279557463/9223372036854775808", + "floor_float": 50.99815763982564 + }, + "r=[211/512,53/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "107290438497833325169/9223372036854775808", + "floor_float": 11.632452650627329 + }, + "r=[211/512,53/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2142694385462508713971/18446744073709551616", + "floor_float": 116.15569538454724 + }, + "r=[211/512,53/128],b=[7/8,1],k=[3/4,1]": { + "floor": "515861575621092942531/18446744073709551616", + "floor_float": 27.964912049509216 + }, + "r=[211/512,53/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1484592879700021722727/18446744073709551616", + "floor_float": 80.47994127136373 + }, + "r=[211/512,53/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2910740536606449726727/18446744073709551616", + "floor_float": 157.79156066651677 + }, + "r=[213/512,107/256],b=[0,1/8],k=[1,5/4]": { + "floor": "175443122845911300183/9223372036854775808", + "floor_float": 19.021581493717825 + }, + "r=[213/512,107/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "80091687775527309965/18446744073709551616", + "floor_float": 4.341779094212871 + }, + "r=[213/512,107/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "12429879831181752895/288230376151711744", + "floor_float": 43.124808693443235 + }, + "r=[213/512,107/256],b=[0,1/8],k=[3/4,1]": { + "floor": "96342042887473067985/9223372036854775808", + "floor_float": 10.445425220028994 + }, + "r=[213/512,107/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "276273777811008198205/9223372036854775808", + "floor_float": 29.953663010347263 + }, + "r=[213/512,107/256],b=[0,1/8],k=[7/4,2]": { + "floor": "269410888400300059595/4611686018427387904", + "floor_float": 58.41917409897102 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "157605913033725329949/4611686018427387904", + "floor_float": 34.1753346615453 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "143774880335011935509/18446744073709551616", + "floor_float": 7.794051880403169 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1432890890943318398719/18446744073709551616", + "floor_float": 77.6771708447718 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "172923108052729045893/9223372036854775808", + "floor_float": 18.748360942371445 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "993885169566887593207/18446744073709551616", + "floor_float": 53.87862300227717 + }, + "r=[213/512,107/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "972027061917348402241/9223372036854775808", + "floor_float": 105.3873852245491 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "118664803676566769651/4611686018427387904", + "floor_float": 25.731327588739912 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "108311864348797258867/18446744073709551616", + "floor_float": 5.871597931646062 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "538755062389773848103/9223372036854775808", + "floor_float": 58.41194090805563 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "65132507848200937369/4611686018427387904", + "floor_float": 14.123361301689725 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "373942173936592641457/9223372036854775808", + "floor_float": 40.54289173660061 + }, + "r=[213/512,107/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "91300247364769323869/1152921504606846976", + "floor_float": 79.19034123307748 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "409018031431754012033/18446744073709551616", + "floor_float": 22.1729119132026 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "5834255596108027683/1152921504606846976", + "floor_float": 5.0604100737088284 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "463946291771450669347/9223372036854775808", + "floor_float": 50.30115774552005 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "224562081754701125535/18446744073709551616", + "floor_float": 12.173534844815721 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "322136037372842185539/9223372036854775808", + "floor_float": 34.92605915555072 + }, + "r=[213/512,107/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "314370698436254176037/4611686018427387904", + "floor_float": 68.16827884207443 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "411376090060522935553/9223372036854775808", + "floor_float": 44.60148505522115 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "93759817808479173341/9223372036854775808", + "floor_float": 10.16545981597982 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "936248616705055901289/9223372036854775808", + "floor_float": 101.508278421817 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "451158416999324159033/18446744073709551616", + "floor_float": 24.45734679228942 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1297947982964103354869/18446744073709551616", + "floor_float": 70.36190114514297 + }, + "r=[213/512,107/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2542342934444584970229/18446744073709551616", + "floor_float": 137.82068663639956 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "548207246496586910291/18446744073709551616", + "floor_float": 29.7183743811948 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "125065917504414532615/18446744073709551616", + "floor_float": 6.779836973108956 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1245253760436712547459/18446744073709551616", + "floor_float": 67.50534161806138 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "150410710378836171227/9223372036854775808", + "floor_float": 16.307561895782218 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "864022646875632763079/18446744073709551616", + "floor_float": 46.83876154096185 + }, + "r=[213/512,107/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "422210019101137666375/4611686018427387904", + "floor_float": 91.55220399091996 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "360870821091755988029/9223372036854775808", + "floor_float": 39.12569282143097 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "164553214146175622203/18446744073709551616", + "floor_float": 8.920447613337803 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "25649096963222932475/288230376151711744", + "floor_float": 88.98818127941651 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "98964760669089634083/4611686018427387904", + "floor_float": 21.459561703386996 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "569115092968310523729/9223372036854775808", + "floor_float": 61.70358201905321 + }, + "r=[213/512,107/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2227977238286107687489/18446744073709551616", + "floor_float": 120.77888809990262 + }, + "r=[213/512,107/256],b=[7/8,1],k=[1,5/4]": { + "floor": "934130948026767856351/18446744073709551616", + "floor_float": 50.63934016182828 + }, + "r=[213/512,107/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "13301777500897000873/1152921504606846976", + "floor_float": 11.537452851513066 + }, + "r=[213/512,107/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2127389500960927036967/18446744073709551616", + "floor_float": 115.32601593323452 + }, + "r=[213/512,107/256],b=[7/8,1],k=[3/4,1]": { + "floor": "512106831918539074317/18446744073709551616", + "floor_float": 27.761366985537457 + }, + "r=[213/512,107/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1474149970442887147533/18446744073709551616", + "floor_float": 79.91383002618102 + }, + "r=[213/512,107/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2889421160843582476779/18446744073709551616", + "floor_float": 156.63583499061002 + }, + "r=[215/512,27/64],b=[0,1/8],k=[1,5/4]": { + "floor": "347981222886255174391/18446744073709551616", + "floor_float": 18.86409989187202 + }, + "r=[215/512,27/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "2479725618671796069/576460752303423488", + "floor_float": 4.301638244691077 + }, + "r=[215/512,27/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "788720739024181207619/18446744073709551616", + "floor_float": 42.756636936719495 + }, + "r=[215/512,27/64],b=[0,1/8],k=[3/4,1]": { + "floor": "191057920156779598475/18446744073709551616", + "floor_float": 10.357270605227125 + }, + "r=[215/512,27/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "34245707165493610021/1152921504606846976", + "floor_float": 29.70341608570446 + }, + "r=[215/512,27/64],b=[0,1/8],k=[7/4,2]": { + "floor": "66759621705727423269/1152921504606846976", + "floor_float": 57.90474151012809 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "625652318116775957615/18446744073709551616", + "floor_float": 33.91668012614002 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "142534225970059697249/18446744073709551616", + "floor_float": 7.726795872513926 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1421796294754653860553/18446744073709551616", + "floor_float": 77.07573158024182 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "171580132399330238075/9223372036854775808", + "floor_float": 18.602755230270432 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "986331109309856405005/18446744073709551616", + "floor_float": 53.46911657518919 + }, + "r=[215/512,27/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1928584669944148900251/18446744073709551616", + "floor_float": 104.54878444878429 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "470907181403083026111/18446744073709551616", + "floor_float": 25.52792945581241 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "107344952021412954039/18446744073709551616", + "floor_float": 5.819181509348408 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "66796444735524334681/1152921504606846976", + "floor_float": 57.93668039725073 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "64605686727835704811/4611686018427387904", + "floor_float": 14.009125181047478 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "741937585291488600593/18446744073709551616", + "floor_float": 40.22051709108406 + }, + "r=[215/512,27/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1448571492570604779763/18446744073709551616", + "floor_float": 78.52721796228097 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "202854023984374869701/9223372036854775808", + "floor_float": 21.993477350128586 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "92501105355498760227/18446744073709551616", + "floor_float": 5.014494969187115 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "115020777362253737359/2305843009213693952", + "floor_float": 49.882310678850814 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "13919219805960194989/1152921504606846976", + "floor_float": 12.072998682340243 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "639024271235395020667/18446744073709551616", + "floor_float": 34.64157515721907 + }, + "r=[215/512,27/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1246673892566937903245/18446744073709551616", + "floor_float": 67.58232713510172 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "408393794815012064261/9223372036854775808", + "floor_float": 44.27814395680354 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "185949419278922888113/18446744073709551616", + "floor_float": 10.080338217731306 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1858644503794843026637/18446744073709551616", + "floor_float": 100.75732044463057 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "447782152691846741411/18446744073709551616", + "floor_float": 24.274319137436805 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1288516142576662021157/18446744073709551616", + "floor_float": 69.85060005321294 + }, + "r=[215/512,27/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2523053050013465337883/18446744073709551616", + "floor_float": 136.77497990603885 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "543970227123755759821/18446744073709551616", + "floor_float": 29.488685100750462 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "123967936450990442425/18446744073709551616", + "floor_float": 6.7203153009354395 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "308842411104327894125/4611686018427387904", + "floor_float": 66.96952261499472 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "298437786828636512773/18446744073709551616", + "floor_float": 16.178344841568677 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "107162558321106754113/2305843009213693952", + "floor_float": 46.4743514163394 + }, + "r=[215/512,27/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1675063123142401676827/18446744073709551616", + "floor_float": 90.80535385806729 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "716399190739198683643/18446744073709551616", + "floor_float": 38.83607794831482 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "163155249298819997931/18446744073709551616", + "floor_float": 8.844663787109736 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1629126544494518279059/18446744073709551616", + "floor_float": 88.31512693973798 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "392839864011989039603/18446744073709551616", + "floor_float": 21.295891700035433 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "564887652748214690017/9223372036854775808", + "floor_float": 61.24524203198516 + }, + "r=[215/512,27/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2210652504103689579913/18446744073709551616", + "floor_float": 119.83971237798704 + }, + "r=[215/512,27/64],b=[7/8,1],k=[1,5/4]": { + "floor": "115936507566298304609/2305843009213693952", + "floor_float": 50.279445349505096 + }, + "r=[215/512,27/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "211073545227404499927/18446744073709551616", + "floor_float": 11.442319814488467 + }, + "r=[215/512,27/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "132000775759787500119/1152921504606846976", + "floor_float": 114.49242227882682 + }, + "r=[215/512,27/64],b=[7/8,1],k=[3/4,1]": { + "floor": "63542933342285284567/2305843009213693952", + "floor_float": 27.55735455032292 + }, + "r=[215/512,27/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "731829262066490732579/9223372036854775808", + "floor_float": 79.34508758209527 + }, + "r=[215/512,27/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1434007376799492532393/9223372036854775808", + "floor_float": 155.4753913286249 + }, + "r=[217/512,109/256],b=[0,1/8],k=[1,5/4]": { + "floor": "172537018276440238735/9223372036854775808", + "floor_float": 18.70650100494877 + }, + "r=[217/512,109/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "19652548924647436005/4611686018427387904", + "floor_float": 4.261467247796083 + }, + "r=[217/512,109/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "390948626997576636319/9223372036854775808", + "floor_float": 42.386735072099775 + }, + "r=[217/512,109/256],b=[0,1/8],k=[3/4,1]": { + "floor": "94714285395917409775/9223372036854775808", + "floor_float": 10.268943399166574 + }, + "r=[217/512,109/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "271651579099798621843/9223372036854775808", + "floor_float": 29.452523221911953 + }, + "r=[217/512,109/256],b=[0,1/8],k=[7/4,2]": { + "floor": "264656521666431593449/4611686018427387904", + "floor_float": 57.38823515064042 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "620870021945717218503/18446744073709551616", + "floor_float": 33.65743133123347 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "17661522719542106695/2305843009213693952", + "floor_float": 7.659464520771858 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "22041344045130628669/288230376151711744", + "floor_float": 76.4712739143394 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "10639622773723990323/576460752303423488", + "floor_float": 18.456803401116478 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "122343707866234086645/2305843009213693952", + "floor_float": 53.05812554340116 + }, + "r=[217/512,109/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1913041811141075286569/18446744073709551616", + "floor_float": 103.7062043847379 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "58392719128957232531/2305843009213693952", + "floor_float": 25.32380517478052 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "53189194119779780735/9223372036854775808", + "floor_float": 5.766783981741845 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "16561849611898773983/288230376151711744", + "floor_float": 57.46045865471635 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "256312020790303546833/18446744073709551616", + "floor_float": 13.894702488749845 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "735968211950248143423/18446744073709551616", + "floor_float": 39.89691671383656 + }, + "r=[217/512,109/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1436289295866121723125/18446744073709551616", + "floor_float": 77.86139874478623 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "201195346590472268429/9223372036854775808", + "floor_float": 21.813643186736407 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "45826783399421868645/9223372036854775808", + "floor_float": 4.968549811967584 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "228102247138768881809/4611686018427387904", + "floor_float": 49.46179037933573 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "110425969461300057187/9223372036854775808", + "floor_float": 11.972407598875948 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "633754316867884575545/18446744073709551616", + "floor_float": 34.35589035851136 + }, + "r=[217/512,109/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "308961828288504274891/4611686018427387904", + "floor_float": 66.99541708909794 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "202700002745882271419/4611686018427387904", + "floor_float": 43.953556667980656 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "184379070520197937405/18446744073709551616", + "floor_float": 9.995209440942832 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1844749466770268061281/18446744073709551616", + "floor_float": 100.00406897819002 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "444397463509665085303/18446744073709551616", + "floor_float": 24.090834769211327 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "639524564378638172093/9223372036854775808", + "floor_float": 69.33739220571654 + }, + "r=[217/512,109/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1251834020933353755897/9223372036854775808", + "floor_float": 135.72411650872067 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "269859472710541486655/9223372036854775808", + "floor_float": 29.258222657856177 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "122869456056617818551/18446744073709551616", + "floor_float": 6.660766559434863 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "306361759148780580211/4611686018427387904", + "floor_float": 66.43161696711775 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "37006006455406268783/2305843009213693952", + "floor_float": 16.048797037585633 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "425281933802042419747/9223372036854775808", + "floor_float": 46.10915965470109 + }, + "r=[217/512,109/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1661211647194247271227/18446744073709551616", + "floor_float": 90.0544638423113 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "22219992552712924039/576460752303423488", + "floor_float": 38.54554271722093 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "161756089006360391693/18446744073709551616", + "floor_float": 8.768815155672728 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "808328929593829175015/9223372036854775808", + "floor_float": 87.6391981548512 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "97454285725524241017/4611686018427387904", + "floor_float": 21.132029660327294 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "140160271396591458703/2305843009213693952", + "floor_float": 60.784828297736944 + }, + "r=[217/512,109/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2193270713197819377371/18446744073709551616", + "floor_float": 118.89744360489537 + }, + "r=[217/512,109/256],b=[7/8,1],k=[1,5/4]": { + "floor": "230208093996926591029/4611686018427387904", + "floor_float": 49.918423127043006 + }, + "r=[217/512,109/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "13082277330778442391/1152921504606846976", + "floor_float": 11.347066802470282 + }, + "r=[217/512,109/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2096563225643253097113/18446744073709551616", + "floor_float": 113.65492019978159 + }, + "r=[217/512,109/256],b=[7/8,1],k=[3/4,1]": { + "floor": "504569256297225519001/18446744073709551616", + "floor_float": 27.35275419234236 + }, + "r=[217/512,109/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1453137539511747941909/18446744073709551616", + "floor_float": 78.77474386294388 + }, + "r=[217/512,109/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2846490349831307062135/18446744073709551616", + "floor_float": 154.30855106230632 + }, + "r=[219/512,55/128],b=[0,1/8],k=[1,5/4]": { + "floor": "342157464658247867247/18446744073709551616", + "floor_float": 18.548393325730228 + }, + "r=[219/512,55/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "77869375787525058155/18446744073709551616", + "floor_float": 4.2213073199462405 + }, + "r=[219/512,55/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "387529321437386035723/9223372036854775808", + "floor_float": 42.01601322042473 + }, + "r=[219/512,55/128],b=[0,1/8],k=[3/4,1]": { + "floor": "187796238961512677381/18446744073709551616", + "floor_float": 10.180454513333949 + }, + "r=[219/512,55/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "538668198911294063655/18446744073709551616", + "floor_float": 29.201261575423942 + }, + "r=[219/512,55/128],b=[0,1/8],k=[7/4,2]": { + "floor": "524527552083522389411/9223372036854775808", + "floor_float": 56.86939114974586 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "616070853778788386197/18446744073709551616", + "floor_float": 33.3972679035981 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "140049617161011842473/18446744073709551616", + "floor_float": 7.592104959086611 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1399454462424917001845/18446744073709551616", + "floor_float": 75.86457842278143 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "337769489585708870475/18446744073709551616", + "floor_float": 18.310520720407276 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "971148650830390644119/18446744073709551616", + "floor_float": 52.646073851833805 + }, + "r=[219/512,55/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1897426324621384478959/18446744073709551616", + "floor_float": 102.85968716428455 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "463366966879312038295/18446744073709551616", + "floor_float": 25.119173607428444 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "105410971870391182415/18446744073709551616", + "floor_float": 5.714340235284326 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1051132729341848924003/18446744073709551616", + "floor_float": 56.98201943615252 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "254199600637265925049/18446744073709551616", + "floor_float": 13.780187962793567 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "364988724477608290551/9223372036854775808", + "floor_float": 39.57215680113361 + }, + "r=[219/512,55/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1423975029647407080411/18446744073709551616", + "floor_float": 77.19384103544147 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "199534628982917431453/9223372036854775808", + "floor_float": 21.633587822936818 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "90805697126574457269/18446744073709551616", + "floor_float": 4.922586704934638 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "226155072904766332525/4611686018427387904", + "floor_float": 49.03956427239306 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "27374008911930158887/2305843009213693952", + "floor_float": 11.871583972780895 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "628470591164514513949/18446744073709551616", + "floor_float": 34.0694590141908 + }, + "r=[219/512,55/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1224966819854806429551/18446744073709551616", + "floor_float": 66.40558436546203 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "804795571891453852237/18446744073709551616", + "floor_float": 43.62805537257141 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "182806755495904523917/18446744073709551616", + "floor_float": 9.909974072684305 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "457696717951283968367/4611686018427387904", + "floor_float": 99.24715518845345 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "55125800392945174489/2305843009213693952", + "floor_float": 23.907005018413372 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1269543620075571196597/18446744073709551616", + "floor_float": 68.8220975475523 + }, + "r=[219/512,55/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2484209681309269302749/18446744073709551616", + "floor_float": 134.66927666925162 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "535454751149106927861/18446744073709551616", + "floor_float": 29.027060223177344 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "121771071941774078743/18446744073709551616", + "floor_float": 6.601223037258006 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "151937321937839001881/2305843009213693952", + "floor_float": 65.89230981065381 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "293654203372259545435/18446744073709551616", + "floor_float": 15.919026262785197 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "210949810938054091779/4611686018427387904", + "floor_float": 45.74244866088893 + }, + "r=[219/512,55/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1647307536472355660929/18446744073709551616", + "floor_float": 89.30072048975362 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "176416856113740300143/4611686018427387904", + "floor_float": 38.25430773231597 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "20044444783844628399/2305843009213693952", + "floor_float": 8.692892232364033 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1604134099448807144083/18446744073709551616", + "floor_float": 86.96028377902374 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "386786408418839688205/18446744073709551616", + "floor_float": 20.96773321477858 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "556380287233404422359/9223372036854775808", + "floor_float": 60.322871614656606 + }, + "r=[219/512,55/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1087899282316479367761/9223372036854775808", + "floor_float": 117.95027653329481 + }, + "r=[219/512,55/128],b=[7/8,1],k=[1,5/4]": { + "floor": "914149028539296327103/18446744073709551616", + "floor_float": 49.55611813589093 + }, + "r=[219/512,55/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "51889497861596373895/4611686018427387904", + "floor_float": 11.251741262144945 + }, + "r=[219/512,55/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "260131938421831723487/2305843009213693952", + "floor_float": 112.81424510792617 + }, + "r=[219/512,55/128],b=[7/8,1],k=[3/4,1]": { + "floor": "500787302816780484697/18446744073709551616", + "floor_float": 27.14773408335548 + }, + "r=[219/512,55/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1442570872332738033181/18446744073709551616", + "floor_float": 78.2019236873732 + }, + "r=[219/512,55/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2824871254626056856957/18446744073709551616", + "floor_float": 153.13657756287117 + }, + "r=[221/512,111/256],b=[0,1/8],k=[1,5/4]": { + "floor": "169616375197277839777/9223372036854775808", + "floor_float": 18.389844247800507 + }, + "r=[221/512,111/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "77129233275307953339/18446744073709551616", + "floor_float": 4.181184113961507 + }, + "r=[221/512,111/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "384098305690105754719/9223372036854775808", + "floor_float": 41.6440217477214 + }, + "r=[221/512,111/256],b=[0,1/8],k=[3/4,1]": { + "floor": "186163867396071244645/18446744073709551616", + "floor_float": 10.091963473456191 + }, + "r=[221/512,111/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "133504683116499496993/4611686018427387904", + "floor_float": 28.94921349437952 + }, + "r=[221/512,111/256],b=[0,1/8],k=[7/4,2]": { + "floor": "519737131924024638655/9223372036854775808", + "floor_float": 56.350012755341275 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "305628786124985622945/9223372036854775808", + "floor_float": 33.1363393890817 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "138807243106865112291/18446744073709551616", + "floor_float": 7.524755726659336 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "347057278129068896065/4611686018427387904", + "floor_float": 75.25605098488849 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "20941631540079992957/1152921504606846976", + "floor_float": 18.16396992891655 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "481759548604296032761/9223372036854775808", + "floor_float": 52.23247492124137 + }, + "r=[221/512,111/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1881755402819548530499/18446744073709551616", + "floor_float": 102.0101647911645 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "459586995860700182621/18446744073709551616", + "floor_float": 24.914260967912885 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "52221444546194587425/9223372036854775808", + "floor_float": 5.661860362731547 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "521134405194517198701/9223372036854775808", + "floor_float": 56.50150542688367 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "31510391239817835669/2305843009213693952", + "floor_float": 13.665453855231481 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "723973867223148478769/18446744073709551616", + "floor_float": 39.24670198330349 + }, + "r=[221/512,111/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1411609756127618404781/18446744073709551616", + "floor_float": 76.52351821476485 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "12366844798268307507/576460752303423488", + "floor_float": 21.453055995317694 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "89958367477388156677/18446744073709551616", + "floor_float": 4.876652872611679 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "896818333767470935771/18446744073709551616", + "floor_float": 48.61661928977611 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "108564157128029416973/9223372036854775808", + "floor_float": 11.770549501226716 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "77896839934205194455/2305843009213693952", + "floor_float": 33.78236923456835 + }, + "r=[221/512,111/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1214039383175073550847/18446744073709551616", + "floor_float": 65.81320683606883 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "24961760289986756313/576460752303423488", + "floor_float": 43.30175157674566 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "181233628129954258657/18446744073709551616", + "floor_float": 9.824694667296322 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1816768371338024101127/18446744073709551616", + "floor_float": 98.48721075538187 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "437607426530117677371/18446744073709551616", + "floor_float": 23.722746126987218 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1260002663528811537177/18446744073709551616", + "floor_float": 68.30488125677297 + }, + "r=[221/512,111/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2464656338754687488425/18446744073709551616", + "floor_float": 133.60928784540008 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "132795282832422534729/4611686018427387904", + "floor_float": 28.795386828547905 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "120672025590284776463/18446744073709551616", + "floor_float": 6.541643615160657 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1205510287840997897203/18446744073709551616", + "floor_float": 65.35084365154178 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "291258449574103525843/18446744073709551616", + "floor_float": 15.789152189150139 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "52313046995716555627/1152921504606846976", + "floor_float": 45.374335361673744 + }, + "r=[221/512,111/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "408339238719202441065/4611686018427387904", + "floor_float": 88.54445794608726 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "700277795644319676487/18446744073709551616", + "floor_float": 37.96213536904658 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "79477001646394049079/9223372036854775808", + "floor_float": 8.616913784765444 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1591563021499202062357/18446744073709551616", + "floor_float": 86.27880427785142 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "95937405096780971377/4611686018427387904", + "floor_float": 20.803108605710367 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "138026924987735950083/2305843009213693952", + "floor_float": 59.85963677327883 + }, + "r=[221/512,111/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2158248050643639886175/18446744073709551616", + "floor_float": 116.99886126352197 + }, + "r=[221/512,111/256],b=[7/8,1],k=[1,5/4]": { + "floor": "907443121648412310587/18446744073709551616", + "floor_float": 49.19259019491182 + }, + "r=[221/512,111/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "205797763550618487721/18446744073709551616", + "floor_float": 11.156319116711936 + }, + "r=[221/512,111/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2065477242703932547763/18446744073709551616", + "floor_float": 111.96974568794866 + }, + "r=[221/512,111/256],b=[7/8,1],k=[3/4,1]": { + "floor": "496998135678311915663/18446744073709551616", + "floor_float": 26.942322921183564 + }, + "r=[221/512,111/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "715983244061475266877/9223372036854775808", + "floor_float": 77.62705886746706 + }, + "r=[221/512,111/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1401581382531235031887/9223372036854775808", + "floor_float": 151.95975798556017 + }, + "r=[223/512,7/16],b=[0,1/8],k=[1,5/4]": { + "floor": "168152347001765207213/9223372036854775808", + "floor_float": 18.231113992785023 + }, + "r=[223/512,7/16],b=[0,1/8],k=[1/2,3/4]": { + "floor": "76389006968610167665/18446744073709551616", + "floor_float": 4.141056365468874 + }, + "r=[223/512,7/16],b=[0,1/8],k=[3/2,7/4]": { + "floor": "761306781202286885139/18446744073709551616", + "floor_float": 41.2705233053733 + }, + "r=[223/512,7/16],b=[0,1/8],k=[3/4,1]": { + "floor": "11533055316581456695/1152921504606846976", + "floor_float": 10.00333090370649 + }, + "r=[223/512,7/16],b=[0,1/8],k=[5/4,3/2]": { + "floor": "132339806519688063883/4611686018427387904", + "floor_float": 28.696621146991426 + }, + "r=[223/512,7/16],b=[0,1/8],k=[7/4,2]": { + "floor": "257464952952062321899/4611686018427387904", + "floor_float": 55.82881226590083 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[1,5/4]": { + "floor": "303218567215866038231/9223372036854775808", + "floor_float": 32.87502293133839 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "137564659496900091083/18446744073709551616", + "floor_float": 7.4573951341883875 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1376964938378844653413/18446744073709551616", + "floor_float": 74.6454188813356 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[3/4,1]": { + "floor": "332356310146394017675/18446744073709551616", + "floor_float": 18.017071674999325 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "955859964222630486215/18446744073709551616", + "floor_float": 51.81727249010463 + }, + "r=[223/512,7/16],b=[1/2,5/8],k=[7/4,2]": { + "floor": "466502392012695314373/4611686018427387904", + "floor_float": 101.15658137796974 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[1,5/4]": { + "floor": "455797611455423633325/18446744073709551616", + "floor_float": 24.708838027683708 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "51738036370318301043/9223372036854775808", + "floor_float": 5.609449143283315 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1033390410851715160147/18446744073709551616", + "floor_float": 56.02020642355588 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[3/4,1]": { + "floor": "249962644117079622467/18446744073709551616", + "floor_float": 13.550502089597936 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "717949279567220786093/18446744073709551616", + "floor_float": 38.92010843205918 + }, + "r=[223/512,7/16],b=[1/4,3/8],k=[7/4,2]": { + "floor": "349799090574493269265/4611686018427387904", + "floor_float": 75.85058678686387 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[1,5/4]": { + "floor": "392400982185574649677/18446744073709551616", + "floor_float": 21.27209986855229 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "89110686265333133521/18446744073709551616", + "floor_float": 4.8306999820274195 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "888988222343384995767/18446744073709551616", + "floor_float": 48.19214809893624 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[3/4,1]": { + "floor": "215262019550950474569/18446744073709551616", + "floor_float": 11.669377462537883 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "617861328412248148141/18446744073709551616", + "floor_float": 33.49432972796696 + }, + "r=[223/512,7/16],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1203082726767176901939/18446744073709551616", + "floor_float": 65.21924530203789 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[1,5/4]": { + "floor": "792740653831993187043/18446744073709551616", + "floor_float": 42.97455695511131 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "179659908907067531887/18446744073709551616", + "floor_float": 9.739383177279523 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1802704324857962700325/18446744073709551616", + "floor_float": 97.72479726800088 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[3/4,1]": { + "floor": "217099872357478784015/9223372036854775808", + "floor_float": 23.538015325630422 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "39075799336345439519/576460752303423488", + "floor_float": 67.78570645131737 + }, + "r=[223/512,7/16],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2445003292527103081337/18446744073709551616", + "floor_float": 132.54389407460482 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[1,5/4]": { + "floor": "263447036962576602591/9223372036854775808", + "floor_float": 28.562984980969453 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "119572292196775033143/18446744073709551616", + "floor_float": 6.482026948440751 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1195481661173467018763/18446744073709551616", + "floor_float": 64.80719071054263 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[3/4,1]": { + "floor": "288858942440484492583/18446744073709551616", + "floor_float": 15.659074646791929 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "830209351818329318291/18446744073709551616", + "floor_float": 45.005739142960756 + }, + "r=[223/512,7/16],b=[3/8,1/2],k=[7/4,2]": { + "floor": "809676100533140877207/9223372036854775808", + "floor_float": 87.7852587207623 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[1,5/4]": { + "floor": "347434985075431987045/9223372036854775808", + "floor_float": 37.668976561625215 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "9846962873952781077/1152921504606846976", + "floor_float": 8.540878832258969 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "49341677552565535777/576460752303423488", + "floor_float": 85.59416639451328 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[3/4,1]": { + "floor": "190354374690571081473/9223372036854775808", + "floor_float": 20.63826265816369 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "547821823449592627093/9223372036854775808", + "floor_float": 59.39496111190188 + }, + "r=[223/512,7/16],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1070323087805922106115/9223372036854775808", + "floor_float": 116.04466170605741 + }, + "r=[223/512,7/16],b=[7/8,1],k=[1,5/4]": { + "floor": "450359395166371463129/9223372036854775808", + "floor_float": 48.82806346386377 + }, + "r=[223/512,7/16],b=[7/8,1],k=[1/2,3/4]": { + "floor": "102017791884280817421/9223372036854775808", + "floor_float": 11.060791159311133 + }, + "r=[223/512,7/16],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1024911773680283519495/9223372036854775808", + "floor_float": 111.1211571630135 + }, + "r=[223/512,7/16],b=[7/8,1],k=[3/4,1]": { + "floor": "493200892061729297931/18446744073709551616", + "floor_float": 26.736473932255784 + }, + "r=[223/512,7/16],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1421326730419140102279/18446744073709551616", + "floor_float": 77.05027644660753 + }, + "r=[223/512,7/16],b=[7/8,1],k=[7/4,2]": { + "floor": "2781366374730939547811/18446744073709551616", + "floor_float": 150.7781732980708 + }, + "r=[225/512,113/256],b=[0,1/8],k=[1,5/4]": { + "floor": "166687933378699229399/9223372036854775808", + "floor_float": 18.072341949630474 + }, + "r=[225/512,113/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "37825107827918075875/9223372036854775808", + "floor_float": 4.101006408152724 + }, + "r=[225/512,113/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "754417193451493179681/18446744073709551616", + "floor_float": 40.897038005026296 + }, + "r=[225/512,113/256],b=[0,1/8],k=[3/4,1]": { + "floor": "182890703918808250413/18446744073709551616", + "floor_float": 9.914524925808752 + }, + "r=[225/512,113/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "131170704668811624375/4611686018427387904", + "floor_float": 28.443112593676013 + }, + "r=[225/512,113/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1020202887612005232083/18446744073709551616", + "floor_float": 55.30530935624605 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "601603722483597016943/18446744073709551616", + "floor_float": 32.61300314460412 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "68160787317074319893/9223372036854775808", + "floor_float": 7.39000736874944 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1365664397260351308965/18446744073709551616", + "floor_float": 74.032815319789 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "164821011940744245289/9223372036854775808", + "floor_float": 17.869929921741416 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "948171176496517186991/18446744073709551616", + "floor_float": 51.40046247228303 + }, + "r=[225/512,113/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1850185863821549514637/18446744073709551616", + "floor_float": 100.29877665286469 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "226001861812664909989/9223372036854775808", + "floor_float": 24.503170956306008 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "102509414684784574605/18446744073709551616", + "floor_float": 5.557046505073045 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1024492733789938423747/18446744073709551616", + "floor_float": 55.53786238353324 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "7744921256140903803/576460752303423488", + "floor_float": 13.435296722619407 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "711900716892254989529/18446744073709551616", + "floor_float": 38.59221519242855 + }, + "r=[225/512,113/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1386721872721805050631/18446744073709551616", + "floor_float": 75.17434335190741 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "194526301456831566973/9223372036854775808", + "floor_float": 21.090583864506694 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "88262460583653260785/18446744073709551616", + "floor_float": 4.7847175756856535 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "881123498215500439861/18446744073709551616", + "floor_float": 47.76580054966365 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "106697453663112711561/9223372036854775808", + "floor_float": 11.568161106021824 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "306272822256755395099/9223372036854775808", + "floor_float": 33.2061659264041 + }, + "r=[225/512,113/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "596054974715207966795/9223372036854775808", + "floor_float": 64.6244098507021 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "49167842972935898227/1152921504606846976", + "floor_float": 42.646305734146594 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "178084767174543202915/18446744073709551616", + "floor_float": 9.65399457286075 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "894289731851766312169/9223372036854775808", + "floor_float": 96.95908701051643 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "107697145828101340289/4611686018427387904", + "floor_float": 23.35309589546313 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1240821169059531105551/18446744073709551616", + "floor_float": 67.26505035801735 + }, + "r=[225/512,113/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "606318565512366186649/4611686018427387904", + "floor_float": 131.4743811893604 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "522593384340864620427/18446744073709551616", + "floor_float": 28.32984413144588 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "118471774698658829789/18446744073709551616", + "floor_float": 6.422367775324956 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1185406422548841312133/18446744073709551616", + "floor_float": 64.26101093028618 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "286456627134068285459/18446744073709551616", + "floor_float": 15.528844873081347 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "411696041992213317293/9223372036854775808", + "floor_float": 44.63617431316411 + }, + "r=[225/512,113/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1605313091449963478099/18446744073709551616", + "floor_float": 87.02419706347358 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "689448845322441807313/18446744073709551616", + "floor_float": 37.3750967958107 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "156148864864196960503/18446744073709551616", + "floor_float": 8.46484692584539 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "783127976680726707315/9223372036854775808", + "floor_float": 84.90690536514214 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "377661308143823262285/18446744073709551616", + "floor_float": 20.473060537662537 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "8492519938694656359/144115188075855872", + "floor_float": 58.92869483141894 + }, + "r=[225/512,113/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2122971172810608920591/18446744073709551616", + "floor_float": 115.08649788426807 + }, + "r=[225/512,113/256],b=[7/8,1],k=[1,5/4]": { + "floor": "446989587846020399213/9223372036854775808", + "floor_float": 48.462708222105555 + }, + "r=[225/512,113/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "101136862620144579997/9223372036854775808", + "floor_float": 10.965280617112876 + }, + "r=[225/512,113/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "508531943231386095749/4611686018427387904", + "floor_float": 110.2702875259488 + }, + "r=[225/512,113/256],b=[7/8,1],k=[3/4,1]": { + "floor": "489394029939654726489/18446744073709551616", + "floor_float": 26.530103523100482 + }, + "r=[225/512,113/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1410643955461016679629/18446744073709551616", + "floor_float": 76.47116205571898 + }, + "r=[225/512,113/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2759462968957623001411/18446744073709551616", + "floor_float": 149.59078729185774 + }, + "r=[227/512,57/128],b=[0,1/8],k=[1,5/4]": { + "floor": "330441779237194800425/18446744073709551616", + "floor_float": 17.913284746447104 + }, + "r=[227/512,57/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "1170491899608674859/288230376151711744", + "floor_float": 4.060959553383713 + }, + "r=[227/512,57/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "186877434207085492487/4611686018427387904", + "floor_float": 40.5225840311678 + }, + "r=[227/512,57/128],b=[0,1/8],k=[3/4,1]": { + "floor": "90624662107757448459/9223372036854775808", + "floor_float": 9.82554555379954 + }, + "r=[227/512,57/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "519988989667077304299/18446744073709551616", + "floor_float": 28.188659613279388 + }, + "r=[227/512,57/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1010499342954623640371/18446744073709551616", + "floor_float": 54.77927914632889 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "74594307821861978305/2305843009213693952", + "floor_float": 32.350124238206085 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "135077600291047887339/18446744073709551616", + "floor_float": 7.322571384484136 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "338578204913938790691/4611686018427387904", + "floor_float": 73.41744506478695 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "81732169804552168461/4611686018427387904", + "floor_float": 17.722839212809923 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "235119969948260502011/4611686018427387904", + "floor_float": 50.98351644252611 + }, + "r=[227/512,57/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1834340822171925872455/18446744073709551616", + "floor_float": 99.43981522388242 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "448198688701230853957/18446744073709551616", + "floor_float": 24.29689959975144 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "50771152920937035817/9223372036854775808", + "floor_float": 5.50461942964737 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1015559573213296082983/18446744073709551616", + "floor_float": 55.053594778315365 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "122855392831808181301/9223372036854775808", + "floor_float": 13.32000838098065 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "705835461533965177163/18446744073709551616", + "floor_float": 38.26341704062169 + }, + "r=[227/512,57/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "42943580853872042357/576460752303423488", + "floor_float": 74.49523784971997 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "96423487481848865771/4611686018427387904", + "floor_float": 20.908510921289878 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "43706998472078576373/9223372036854775808", + "floor_float": 4.738722269624821 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "873224221735312779857/18446744073709551616", + "floor_float": 47.3375799136195 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "52881178839321129713/4611686018427387904", + "floor_float": 11.466777796237292 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "151803215133829201283/4611686018427387904", + "floor_float": 32.917075127676405 + }, + "r=[227/512,57/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1181099797808171758149/18446744073709551616", + "floor_float": 64.02754833529049 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "390304814584504156001/9223372036854775808", + "floor_float": 42.31693279040714 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "176508177031985866267/18446744073709551616", + "floor_float": 9.568527449976754 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "443597086791656679405/4611686018427387904", + "floor_float": 96.189785041551 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "53421668734856661625/2305843009213693952", + "floor_float": 23.167955720053016 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "307799463482985909011/4611686018427387904", + "floor_float": 66.74336939962521 + }, + "r=[227/512,57/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2405505853940524691007/18446744073709551616", + "floor_float": 130.40273363844577 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "259145249929777667035/9223372036854775808", + "floor_float": 28.096584296316397 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "117373115572198234709/18446744073709551616", + "floor_float": 6.3628093447384755 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "73457125240178166023/1152921504606846976", + "floor_float": 63.71389981595276 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "284049127160009534917/18446744073709551616", + "floor_float": 15.398334037974681 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "816548260922484064389/18446744073709551616", + "floor_float": 44.26516992157089 + }, + "r=[227/512,57/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "397802011093304638783/4611686018427387904", + "floor_float": 86.25956092929272 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "684019608455564933409/18446744073709551616", + "floor_float": 37.08077727551038 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "77373563647931153177/9223372036854775808", + "floor_float": 8.388858580003241 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1553563987138634158665/18446744073709551616", + "floor_float": 84.21887249754747 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "93651662191633436957/4611686018427387904", + "floor_float": 20.30746712100951 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "67400397509307273447/1152921504606846976", + "floor_float": 58.460525924782026 + }, + "r=[227/512,57/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1052603128947090296555/9223372036854775808", + "floor_float": 114.12345991694748 + }, + "r=[227/512,57/128],b=[7/8,1],k=[1,5/4]": { + "floor": "887222991594892512971/18446744073709551616", + "floor_float": 48.09645474831355 + }, + "r=[227/512,57/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "100255339416330729365/9223372036854775808", + "floor_float": 10.86970567984574 + }, + "r=[227/512,57/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1009190407193134775391/9223372036854775808", + "floor_float": 109.41664319303275 + }, + "r=[227/512,57/128],b=[7/8,1],k=[3/4,1]": { + "floor": "485577729599595954525/18446744073709551616", + "floor_float": 26.323221467123037 + }, + "r=[227/512,57/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "87494783656591666203/1152921504606846976", + "floor_float": 75.88962761730072 + }, + "r=[227/512,57/128],b=[7/8,1],k=[7/4,2]": { + "floor": "684361385998083769487/4611686018427387904", + "floor_float": 148.39722029286267 + }, + "r=[229/512,115/256],b=[0,1/8],k=[1,5/4]": { + "floor": "327499164077526931461/18446744073709551616", + "floor_float": 17.75376525900207 + }, + "r=[229/512,115/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "37086307801839699351/9223372036854775808", + "floor_float": 4.020905548822071 + }, + "r=[229/512,115/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "370286475598674218097/9223372036854775808", + "floor_float": 40.14654012860833 + }, + "r=[229/512,115/256],b=[0,1/8],k=[3/4,1]": { + "floor": "179610161319486203843/18446744073709551616", + "floor_float": 9.736686355152942 + }, + "r=[229/512,115/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "128823781660231140195/4611686018427387904", + "floor_float": 27.934204788764177 + }, + "r=[229/512,115/256],b=[0,1/8],k=[7/4,2]": { + "floor": "125098684735467903493/2305843009213693952", + "floor_float": 54.2529063061094 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "591889863706774101767/18446744073709551616", + "floor_float": 32.08641380515168 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "133832874784200339821/18446744073709551616", + "floor_float": 7.255094679550525 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1342910654977434545117/18446744073709551616", + "floor_float": 72.7993324790233 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "162105308810230932699/9223372036854775808", + "floor_float": 17.575492798348595 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "932766026307228941555/18446744073709551616", + "floor_float": 50.56534760714844 + }, + "r=[229/512,115/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1818446266942752535459/18446744073709551616", + "floor_float": 98.57816965837439 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "222190998688145023987/9223372036854775808", + "floor_float": 24.08999634844107 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "3142962060608995179/576460752303423488", + "floor_float": 5.452170070642865 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1006587210973355363989/18446744073709551616", + "floor_float": 54.56720204667183 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "243586747954137667593/18446744073709551616", + "floor_float": 13.204864066027753 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "349888123520593674305/9223372036854775808", + "floor_float": 37.93494636479042 + }, + "r=[229/512,115/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "170210801014241048067/2305843009213693952", + "floor_float": 73.81716809605521 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "23896449985713681811/1152921504606846976", + "floor_float": 20.72686639136158 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "86568541868492893963/18446744073709551616", + "floor_float": 4.6928900581361175 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "432668773870590386281/9223372036854775808", + "floor_float": 46.91004245971335 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "104825480286969395423/9223372036854775808", + "floor_float": 11.365201345896864 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "150465040672223210249/4611686018427387904", + "floor_float": 32.626904795988835 + }, + "r=[229/512,115/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1170036841190668330027/18446744073709551616", + "floor_float": 63.42782425534999 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "774516381962772963583/18446744073709551616", + "floor_float": 41.98661719748256 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "174930783048135035421/18446744073709551616", + "floor_float": 9.483016750768924 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "880070440110829323205/9223372036854775808", + "floor_float": 95.41742831084352 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "423950223297756681409/18446744073709551616", + "floor_float": 22.982387656257124 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "76346011777157821939/1152921504606846976", + "floor_float": 66.21960946351874 + }, + "r=[229/512,115/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1192819713267627962035/9223372036854775808", + "floor_float": 129.32577245082987 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "256991464145264385255/9223372036854775808", + "floor_float": 27.863070373652626 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "116274995780818322059/18446744073709551616", + "floor_float": 6.303280151565304 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1165208944263225648095/18446744073709551616", + "floor_float": 63.166103438486516 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "70409128771443339869/4611686018427387904", + "floor_float": 15.267546075362102 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "50604877402332687765/1152921504606846976", + "floor_float": 43.892734414377365 + }, + "r=[229/512,115/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1577033335768229104945/18446744073709551616", + "floor_float": 85.4911484360988 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "169642739166715443519/4611686018427387904", + "floor_float": 36.78540527018893 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "153344587932232177179/18446744073709551616", + "floor_float": 8.31282676875103 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1540819074400761867149/18446744073709551616", + "floor_float": 83.52796939362051 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "371545288158232627913/18446744073709551616", + "floor_float": 20.14151042989543 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "267434365267682822919/4611686018427387904", + "floor_float": 57.99058396410073 + }, + "r=[229/512,115/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1043677879541153482971/9223372036854775808", + "floor_float": 113.15578243735833 + }, + "r=[229/512,115/256],b=[7/8,1],k=[1,5/4]": { + "floor": "880443945470712597871/18446744073709551616", + "floor_float": 47.72896192155278 + }, + "r=[229/512,115/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "198746002457365425595/18446744073709551616", + "floor_float": 10.77404238185425 + }, + "r=[229/512,115/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2002560853043950503895/18446744073709551616", + "floor_float": 108.5590413702338 + }, + "r=[229/512,115/256],b=[7/8,1],k=[3/4,1]": { + "floor": "481755817969034919471/18446744073709551616", + "floor_float": 26.116035222477944 + }, + "r=[229/512,115/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "694579107504392936931/9223372036854775808", + "floor_float": 75.30641773193055 + }, + "r=[229/512,115/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2715346692859274995687/18446744073709551616", + "floor_float": 147.1992391724678 + }, + "r=[23/128,93/512],b=[0,1/8],k=[1,5/4]": { + "floor": "251841358846207712933/9223372036854775808", + "floor_float": 27.304694838275992 + }, + "r=[23/128,93/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "60948394030696268547/9223372036854775808", + "floor_float": 6.608038121758344 + }, + "r=[23/128,93/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "570409676825141218041/9223372036854775808", + "floor_float": 61.84394108205726 + }, + "r=[23/128,93/512],b=[0,1/8],k=[3/4,1]": { + "floor": "70148529694604559115/4611686018427387904", + "floor_float": 15.211037658310836 + }, + "r=[23/128,93/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "395303774388412771873/9223372036854775808", + "floor_float": 42.85892109836368 + }, + "r=[23/128,93/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1553768185973851671745/18446744073709551616", + "floor_float": 84.22994213858556 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "878097111766958528881/18446744073709551616", + "floor_float": 47.60173981154916 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "106356682232085867323/9223372036854775808", + "floor_float": 11.531214593437795 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1989184373503553663527/18446744073709551616", + "floor_float": 107.8339009613385 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "244630734771714247215/9223372036854775808", + "floor_float": 26.522917409621783 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "172294566466613199807/2305843009213693952", + "floor_float": 74.72085730822008 + }, + "r=[23/128,93/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "84679135918367894811/576460752303423488", + "floor_float": 146.89488500302366 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "670735292452512096285/18446744073709551616", + "floor_float": 36.36063306198569 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "40605399645166235469/4611686018427387904", + "floor_float": 8.804892501986272 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "189913161789625578661/2305843009213693952", + "floor_float": 82.36170503836125 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "373696055324553395709/18446744073709551616", + "floor_float": 20.2581037516072 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "526418322108466869693/9223372036854775808", + "floor_float": 57.07438884661738 + }, + "r=[23/128,93/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1034727019454909813777/9223372036854775808", + "floor_float": 112.1853282422464 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "72807595327834225139/2305843009213693952", + "floor_float": 31.575261211153332 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "141009565443833839661/18446744073709551616", + "floor_float": 7.644143859772078 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "659640649547741040339/9223372036854775808", + "floor_float": 71.51838252994101 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "162252438852817198881/9223372036854775808", + "floor_float": 17.591444669529587 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "457129975010836892085/9223372036854775808", + "floor_float": 49.56213120149937 + }, + "r=[23/128,93/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "56153390279777352149/576460752303423488", + "floor_float": 97.41060437401762 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "282784970275485641627/4611686018427387904", + "floor_float": 61.31921582378607 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "68499962030800936007/4611686018427387904", + "floor_float": 14.853561529793788 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2562631692144627024043/18446744073709551616", + "floor_float": 138.92054239517046 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "315140508439418859713/9223372036854775808", + "floor_float": 34.167602388820434 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1775599900646119784927/18446744073709551616", + "floor_float": 96.25546348727845 + }, + "r=[23/128,93/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "872801778088384164541/4611686018427387904", + "floor_float": 189.25871679052744 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "769008460648381147747/18446744073709551616", + "floor_float": 41.68803218473542 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "46563751304723159305/4611686018427387904", + "floor_float": 10.096904064731119 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "435496054170537058159/4611686018427387904", + "floor_float": 94.43315360811224 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "107115746653327933887/4611686018427387904", + "floor_float": 23.22702504578901 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1207104690115880546499/18446744073709551616", + "floor_float": 65.43727637205396 + }, + "r=[23/128,93/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2372880208367654946435/18446744073709551616", + "floor_float": 128.6340938480034 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "499303759781939353447/9223372036854775808", + "floor_float": 54.13462210857591 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "60477808634850753453/4611686018427387904", + "floor_float": 13.114034301813557 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2262287880622676631991/18446744073709551616", + "floor_float": 122.63887174793668 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "556420852418023991419/18446744073709551616", + "floor_float": 30.163634850392892 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "391885876007741434579/4611686018427387904", + "floor_float": 84.97670362679565 + }, + "r=[23/128,93/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3081902395611219919583/18446744073709551616", + "floor_float": 167.07026363549826 + }, + "r=[23/128,93/512],b=[7/8,1],k=[1,5/4]": { + "floor": "638230600599895281287/9223372036854775808", + "floor_float": 69.19710037171347 + }, + "r=[23/128,93/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "309170488051406078879/18446744073709551616", + "floor_float": 16.760165740686908 + }, + "r=[23/128,93/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "722999997647299247291/4611686018427387904", + "floor_float": 156.7756336312433 + }, + "r=[23/128,93/512],b=[7/8,1],k=[3/4,1]": { + "floor": "711191293395656708311/18446744073709551616", + "floor_float": 38.55375726761734 + }, + "r=[23/128,93/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "62617067367378760061/576460752303423488", + "floor_float": 108.62329675901319 + }, + "r=[23/128,93/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1970048422559924382205/9223372036854775808", + "floor_float": 213.5930779641111 + }, + "r=[23/64,185/512],b=[0,1/8],k=[1,5/4]": { + "floor": "392052997927534499621/18446744073709551616", + "floor_float": 21.253235604124395 + }, + "r=[23/64,185/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "90783687500249086649/18446744073709551616", + "floor_float": 4.92139356070076 + }, + "r=[23/64,185/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "445544228905406511239/9223372036854775808", + "floor_float": 48.30600209176206 + }, + "r=[23/64,185/512],b=[0,1/8],k=[3/4,1]": { + "floor": "53970763699021698631/4611686018427387904", + "floor_float": 11.703043850636226 + }, + "r=[23/64,185/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "617652029922739032109/18446744073709551616", + "floor_float": 33.482983634115776 + }, + "r=[23/64,185/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1210755318507513345351/18446744073709551616", + "floor_float": 65.63517733371124 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "697705655322472521709/18446744073709551616", + "floor_float": 37.82269936280236 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "80798869019888222005/9223372036854775808", + "floor_float": 8.760230932573453 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "794118093997545927411/9223372036854775808", + "floor_float": 86.09845627221873 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "48005695059999565001/2305843009213693952", + "floor_float": 20.81915155029127 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1099981776004177381861/18446744073709551616", + "floor_float": 59.63013156190963 + }, + "r=[23/64,185/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "540017477716176135353/4611686018427387904", + "floor_float": 117.09762450400413 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "527748389435727430393/18446744073709551616", + "floor_float": 28.609297517597085 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "61111092069792772209/9223372036854775808", + "floor_float": 6.625677878503101 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1200375534388701545557/18446744073709551616", + "floor_float": 65.07248810913393 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "290536133077319355017/18446744073709551616", + "floor_float": 15.749995333398363 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "831688310488034369801/18446744073709551616", + "floor_float": 45.08591365309628 + }, + "r=[23/64,185/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1631796666593032558491/18446744073709551616", + "floor_float": 88.45987454873851 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "227936271444393469151/9223372036854775808", + "floor_float": 24.712900068825704 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "105572580528772669987/18446744073709551616", + "floor_float": 5.72310105820981 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "129560204784373603789/2305843009213693952", + "floor_float": 56.18778219795388 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "250993296805940295513/18446744073709551616", + "floor_float": 13.606373883814975 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "718287397220924971857/18446744073709551616", + "floor_float": 38.938437826794264 + }, + "r=[23/64,185/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "88040634235453473235/1152921504606846976", + "floor_float": 76.36307752406427 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "906819015308217857451/18446744073709551616", + "floor_float": 49.15875732241678 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "210019481600237827027/18446744073709551616", + "floor_float": 11.385178910762864 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "64558953377950328343/576460752303423488", + "floor_float": 111.99193200922262 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "499051479873229338699/18446744073709551616", + "floor_float": 27.053634933033063 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "89385146135254735559/1152921504606846976", + "floor_float": 77.52925570222197 + }, + "r=[23/64,185/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2810927531110502389629/18446744073709551616", + "floor_float": 152.3806867964661 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "608096728363595984533/18446744073709551616", + "floor_float": 32.96498969865692 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "70421770131569468779/9223372036854775808", + "floor_float": 7.635143616692242 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "691839714680364640627/9223372036854775808", + "floor_float": 75.00941216682028 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "334746322233767409143/18446744073709551616", + "floor_float": 18.146634489869168 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "479253813338871709809/9223372036854775808", + "floor_float": 51.96080255939671 + }, + "r=[23/64,185/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "58794295024162570901/576460752303423488", + "floor_float": 101.99184383192119 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "199272448174520905491/4611686018427387904", + "floor_float": 43.21032424546413 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "23076884399103717911/2305843009213693952", + "floor_float": 10.008003279882038 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1815209908216055863293/18446744073709551616", + "floor_float": 98.40272630025305 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "438707686325002849677/18446744073709551616", + "floor_float": 23.782391329982865 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "628454283475369935701/9223372036854775808", + "floor_float": 68.13714994518172 + }, + "r=[23/64,185/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "617328985898062538245/4611686018427387904", + "floor_float": 133.86188552979056 + }, + "r=[23/64,185/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1027599372809888447485/18446744073709551616", + "floor_float": 55.70627362226114 + }, + "r=[23/64,185/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "929536075035736687/72057594037927936", + "floor_float": 12.89990440905465 + }, + "r=[23/64,185/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1170997467357230724371/9223372036854775808", + "floor_float": 126.9597998083733 + }, + "r=[23/64,185/512],b=[7/8,1],k=[3/4,1]": { + "floor": "282727793279082264401/9223372036854775808", + "floor_float": 30.65340876952136 + }, + "r=[23/64,185/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "202616262885501682915/2305843009213693952", + "floor_float": 87.87079696054201 + }, + "r=[23/64,185/512],b=[7/8,1],k=[7/4,2]": { + "floor": "796825647559455613397/4611686018427387904", + "floor_float": 172.78401963522614 + }, + "r=[231/512,29/64],b=[0,1/8],k=[1,5/4]": { + "floor": "324548612166656664449/18446744073709551616", + "floor_float": 17.593815519412228 + }, + "r=[231/512,29/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "36716899173974767513/9223372036854775808", + "floor_float": 3.9808541851354664 + }, + "r=[231/512,29/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "733609854072392707069/18446744073709551616", + "floor_float": 39.7690698771031 + }, + "r=[231/512,29/64],b=[0,1/8],k=[3/4,1]": { + "floor": "88985966942352990289/9223372036854775808", + "floor_float": 9.64787786796224 + }, + "r=[231/512,29/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "510601682855590485815/18446744073709551616", + "floor_float": 27.679772691339288 + }, + "r=[231/512,29/64],b=[0,1/8],k=[7/4,2]": { + "floor": "495538981177895222811/9223372036854775808", + "floor_float": 53.72644399443275 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "587019223411962414191/18446744073709551616", + "floor_float": 31.822375865700167 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "132589029870957746315/18446744073709551616", + "floor_float": 7.187665711691891 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1331484511968004084051/18446744073709551616", + "floor_float": 72.17992002532559 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "160743405149924875621/9223372036854775808", + "floor_float": 17.427834907626618 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "462511293026039778343/9223372036854775808", + "floor_float": 50.145574869791204 + }, + "r=[231/512,29/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1802474234574715779299/18446744073709551616", + "floor_float": 97.71232404875268 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "440557186021741071497/18446744073709551616", + "floor_float": 23.88265290944361 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "49803633191235813137/9223372036854775808", + "floor_float": 5.3997207303609045 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "997585261120120444999/18446744073709551616", + "floor_float": 54.07920536729769 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "241458548338365428291/18446744073709551616", + "floor_float": 13.0894941336826 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "693694516141687026149/18446744073709551616", + "floor_float": 37.605255072104896 + }, + "r=[231/512,29/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "10539989475852424187/144115188075855872", + "floor_float": 73.13586872123872 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "378985219360399140557/18446744073709551616", + "floor_float": 20.54482990852201 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "85723003300233834735/18446744073709551616", + "floor_float": 4.64705332050478 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "214356906650556934831/4611686018427387904", + "floor_float": 46.48124477556126 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "207774442842019430215/18446744073709551616", + "floor_float": 11.263475115814137 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "596490019071795279819/18446744073709551616", + "floor_float": 32.33578872717802 + }, + "r=[231/512,29/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "289732594431010217943/4611686018427387904", + "floor_float": 62.82574166439257 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "768418557406977682619/18446744073709551616", + "floor_float": 41.65605346594113 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "86677499853133550247/9223372036854775808", + "floor_float": 9.397593364637938 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1745874656647594968487/18446744073709551616", + "floor_float": 94.64405478123533 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "420519429881474922303/18446744073709551616", + "floor_float": 22.796403972493042 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1211836552294422997147/18446744073709551616", + "floor_float": 65.69379113474785 + }, + "r=[231/512,29/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2365675583541549493385/18446744073709551616", + "floor_float": 128.24353035358308 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "127415559076686892623/4611686018427387904", + "floor_float": 27.62884519187981 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "57588217603491611991/9223372036854775808", + "floor_float": 6.243727063527357 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "577529955313424283873/9223372036854775808", + "floor_float": 62.61592322262709 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "279221237818103205185/18446744073709551616", + "floor_float": 15.136613632323959 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "200698046658342092523/4611686018427387904", + "floor_float": 43.519451640114326 + }, + "r=[231/512,29/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "390704341505231309391/4611686018427387904", + "floor_float": 84.72049917189804 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "168276270813438137531/4611686018427387904", + "floor_float": 36.489099678737745 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "37985313150254358375/4611686018427387904", + "floor_float": 8.236751808009595 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "191002189739939526825/2305843009213693952", + "floor_float": 82.83399562621238 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "368483608860959840017/18446744073709551616", + "floor_float": 19.975536462617576 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "530529546862247506925/9223372036854775808", + "floor_float": 57.520128727579895 + }, + "r=[231/512,29/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1034737170218826415709/9223372036854775808", + "floor_float": 112.18642879027549 + }, + "r=[231/512,29/64],b=[7/8,1],k=[1,5/4]": { + "floor": "436821543257486687797/9223372036854775808", + "floor_float": 47.36028661882378 + }, + "r=[231/512,29/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "24622491101499090949/2305843009213693952", + "floor_float": 10.678303337700127 + }, + "r=[231/512,29/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "993334942295298749885/9223372036854775808", + "floor_float": 107.69759024423261 + }, + "r=[231/512,29/64],b=[7/8,1],k=[3/4,1]": { + "floor": "238966092994885010061/9223372036854775808", + "floor_float": 25.908755717542743 + }, + "r=[231/512,29/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1378381533908370992461/18446744073709551616", + "floor_float": 74.72221267886789 + }, + "r=[231/512,29/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1346599013178101981247/9223372036854775808", + "floor_float": 145.99855755545346 + }, + "r=[233/512,117/256],b=[0,1/8],k=[1,5/4]": { + "floor": "160797616877346123085/9223372036854775808", + "floor_float": 17.43371255489105 + }, + "r=[233/512,117/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "72695650298584812517/18446744073709551616", + "floor_float": 3.940839099198608 + }, + "r=[233/512,117/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "726638510399935251601/18446744073709551616", + "floor_float": 39.39115257936203 + }, + "r=[233/512,117/256],b=[0,1/8],k=[3/4,1]": { + "floor": "176331174374437135929/18446744073709551616", + "floor_float": 9.558932116684252 + }, + "r=[233/512,117/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "126473096318222198187/4611686018427387904", + "floor_float": 27.424481157836993 + }, + "r=[233/512,117/256],b=[0,1/8],k=[7/4,2]": { + "floor": "61332713314184153947/1152921504606846976", + "floor_float": 53.19764881573526 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "145535778656226615017/4611686018427387904", + "floor_float": 31.55804147869008 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "131346109852617354423/18446744073709551616", + "floor_float": 7.120286882486373 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1320041376899810854805/18446744073709551616", + "floor_float": 71.55958643027658 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "318758243402767277693/18446744073709551616", + "floor_float": 17.279918999747174 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "917252141014887585117/18446744073709551616", + "floor_float": 49.72433820026607 + }, + "r=[233/512,117/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1786437605824208504965/18446744073709551616", + "floor_float": 96.84297666222051 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "436729279193470509479/18446744073709551616", + "floor_float": 23.675141664479458 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "12330178362984462321/2305843009213693952", + "floor_float": 5.347362467312606 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "988578799055584381525/18446744073709551616", + "floor_float": 53.590964080458775 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "119663318784751895961/9223372036854775808", + "floor_float": 12.973923019325348 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "687591523122239875267/18446744073709551616", + "floor_float": 37.27441115758747 + }, + "r=[233/512,117/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1336496295166975836551/18446744073709551616", + "floor_float": 72.45160933694316 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "375618056539708874893/18446744073709551616", + "floor_float": 20.36229564625677 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "84877409316019062741/18446744073709551616", + "floor_float": 4.601213578768463 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "106185821108870233631/2305843009213693952", + "floor_float": 46.0507591733577 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "205898281251567675849/18446744073709551616", + "floor_float": 11.161768192199053 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "147779286947099565165/4611686018427387904", + "floor_float": 32.04452479128082 + }, + "r=[233/512,117/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "573904617759004466741/9223372036854775808", + "floor_float": 62.22286333737757 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "381153116834826197181/9223372036854775808", + "floor_float": 41.32470373219399 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "171778612514549907803/18446744073709551616", + "floor_float": 9.312137243741034 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "865777511244753031263/9223372036854775808", + "floor_float": 93.86778585806545 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "417082998702631554739/18446744073709551616", + "floor_float": 22.610114665008098 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "601053828125325285311/9223372036854775808", + "floor_float": 65.16638662342066 + }, + "r=[233/512,117/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2345639424861614241581/18446744073709551616", + "floor_float": 127.15736801513056 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "505329778647547321531/18446744073709551616", + "floor_float": 27.393982191564493 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "14259720093450624891/2305843009213693952", + "floor_float": 6.184167801741747 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "572435609715445482053/9223372036854775808", + "floor_float": 62.06359316615503 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "276807249369435990115/18446744073709551616", + "floor_float": 15.005751056303964 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "198974557064889845135/4611686018427387904", + "floor_float": 43.14572940781891 + }, + "r=[233/512,117/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "193572636753535486629/2305843009213693952", + "floor_float": 83.94874932077224 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "667625410990973162633/18446744073709551616", + "floor_float": 36.19204605014704 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "150537428552502780141/18446744073709551616", + "floor_float": 8.160650353850246 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1515168546547787425233/18446744073709551616", + "floor_float": 82.13745149244076 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "91354839164413582845/4611686018427387904", + "floor_float": 19.80942301782421 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1052356987240474668713/18446744073709551616", + "floor_float": 57.04838658982114 + }, + "r=[233/512,117/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2051544213159846049341/18446744073709551616", + "floor_float": 111.2144346428985 + }, + "r=[233/512,117/256],b=[7/8,1],k=[1,5/4]": { + "floor": "108353367946272086289/2305843009213693952", + "floor_float": 46.99078276938776 + }, + "r=[233/512,117/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "195213356921995521869/18446744073709551616", + "floor_float": 10.582537283650787 + }, + "r=[233/512,117/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1970725387651277218899/18446744073709551616", + "floor_float": 106.83323733319263 + }, + "r=[233/512,117/256],b=[7/8,1],k=[3/4,1]": { + "floor": "237050066063448328951/9223372036854775808", + "floor_float": 25.701019661382304 + }, + "r=[233/512,117/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "683782318980496123059/9223372036854775808", + "floor_float": 74.135827574583 + }, + "r=[233/512,117/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1335473355351063202827/9223372036854775808", + "floor_float": 144.79231131681289 + }, + "r=[235/512,59/128],b=[0,1/8],k=[1,5/4]": { + "floor": "39830506681576271941/2305843009213693952", + "floor_float": 17.27372875014536 + }, + "r=[235/512,59/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "71957983305955537059/18446744073709551616", + "floor_float": 3.900850091399633 + }, + "r=[235/512,59/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "359827583856209803467/9223372036854775808", + "floor_float": 39.01258481371127 + }, + "r=[235/512,59/128],b=[0,1/8],k=[3/4,1]": { + "floor": "174688365344653377641/18446744073709551616", + "floor_float": 9.469875260730735 + }, + "r=[235/512,59/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "15661597412218374141/576460752303423488", + "floor_float": 27.168540702272825 + }, + "r=[235/512,59/128],b=[0,1/8],k=[7/4,2]": { + "floor": "971532627016129041651/18446744073709551616", + "floor_float": 52.66688924257182 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "144314270895371242509/4611686018427387904", + "floor_float": 31.29316920508462 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "130103132159885171737/18446744073709551616", + "floor_float": 7.05290492674581 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1308551453345357239199/18446744073709551616", + "floor_float": 70.93671642630503 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "158013518413528502497/9223372036854775808", + "floor_float": 17.131859994602586 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "909467908385453830773/18446744073709551616", + "floor_float": 49.302354103867835 + }, + "r=[235/512,59/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "221293951086121214381/2305843009213693952", + "floor_float": 95.97095301018943 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "216450094935705050647/9223372036854775808", + "floor_float": 23.46756631639851 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "97675666069986712371/18446744073709551616", + "floor_float": 5.295008467602413 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "244885957154000522517/4611686018427387904", + "floor_float": 53.10117735151191 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "118596155477496564835/9223372036854775808", + "floor_float": 12.858220941713043 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "681475084975457752295/18446744073709551616", + "floor_float": 36.94283838125675 + }, + "r=[235/512,59/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1323831260868305338045/18446744073709551616", + "floor_float": 71.76503645188205 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "372244014514678798435/18446744073709551616", + "floor_float": 20.17938846157702 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "84032260155080366471/18446744073709551616", + "floor_float": 4.555397950950261 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "420761823377299434989/9223372036854775808", + "floor_float": 45.61908830046301 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "204022139696768484255/18446744073709551616", + "floor_float": 11.060062354718873 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "585735077225910761233/18446744073709551616", + "floor_float": 31.752762161464858 + }, + "r=[235/512,59/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "284168650249266981755/4611686018427387904", + "floor_float": 61.61925359050575 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "756176606005906020129/18446744073709551616", + "floor_float": 40.99241595071593 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "85101053582111162693/9223372036854775808", + "floor_float": 9.226674717453024 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1717177128764807874925/18446744073709551616", + "floor_float": 93.08835867746127 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "413643447371157853497/18446744073709551616", + "floor_float": 22.42365621371014 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1192357629357363979007/18446744073709551616", + "floor_float": 64.637836606446 + }, + "r=[235/512,59/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2325541289135718757107/18446744073709551616", + "floor_float": 126.06784589428435 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "500988317336705012613/18446744073709551616", + "floor_float": 27.158631102315645 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "56489868712649221995/9223372036854775808", + "floor_float": 6.124643838167521 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "17729039242616010821/288230376151711744", + "floor_float": 61.50996116136013 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "137195070608322733171/9223372036854775808", + "floor_float": 14.87471936078457 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "788988953331517204515/18446744073709551616", + "floor_float": 42.77117686345476 + }, + "r=[235/512,59/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1534299146913259713033/18446744073709551616", + "floor_float": 83.17452341630062 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "662133343687278783715/18446744073709551616", + "floor_float": 35.89432048504194 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "149134489607673279321/18446744073709551616", + "floor_float": 8.084596881257813 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1502292830532724394531/18446744073709551616", + "floor_float": 81.43945752864887 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "362349238137233777019/18446744073709551616", + "floor_float": 19.642991559342814 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "521814425967946612921/9223372036854775808", + "floor_float": 56.575233426872416 + }, + "r=[235/512,59/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2033535309247229281305/18446744073709551616", + "floor_float": 110.2381700055914 + }, + "r=[235/512,59/128],b=[7/8,1],k=[1,5/4]": { + "floor": "429997108184326269285/9223372036854775808", + "floor_float": 46.6203798855931 + }, + "r=[235/512,59/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "193447444861322294135/18446744073709551616", + "floor_float": 10.486806999020773 + }, + "r=[235/512,59/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "61085836025633677131/576460752303423488", + "floor_float": 105.96703380333652 + }, + "r=[235/512,59/128],b=[7/8,1],k=[3/4,1]": { + "floor": "235130276272434382597/9223372036854775808", + "floor_float": 25.49287563516902 + }, + "r=[235/512,59/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1356710087846233362695/18446744073709551616", + "floor_float": 73.54740123379429 + }, + "r=[235/512,59/128],b=[7/8,1],k=[7/4,2]": { + "floor": "331075100464387773119/2305843009213693952", + "floor_float": 143.58093727173835 + }, + "r=[237/512,119/256],b=[0,1/8],k=[1,5/4]": { + "floor": "315687163772516747615/18446744073709551616", + "floor_float": 17.113435439397495 + }, + "r=[237/512,119/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "71222108591371672777/18446744073709551616", + "floor_float": 3.860958243188184 + }, + "r=[237/512,119/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "712659226860603889785/18446744073709551616", + "floor_float": 38.63333410020533 + }, + "r=[237/512,119/256],b=[0,1/8],k=[3/4,1]": { + "floor": "173045463099657275131/18446744073709551616", + "floor_float": 9.380813351570431 + }, + "r=[237/512,119/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "496439309937904924193/18446744073709551616", + "floor_float": 26.91202891709406 + }, + "r=[237/512,119/256],b=[0,1/8],k=[7/4,2]": { + "floor": "961734386409427501283/18446744073709551616", + "floor_float": 52.13572555495575 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "286179065794405726815/9223372036854775808", + "floor_float": 31.02759648541668 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "128860789466106874277/18446744073709551616", + "floor_float": 6.985557394367514 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "162128826995490648505/2305843009213693952", + "floor_float": 70.31217058041499 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "313294199373426190435/18446744073709551616", + "floor_float": 16.983712579388772 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "901661940724231435379/18446744073709551616", + "floor_float": 48.87919174903539 + }, + "r=[237/512,119/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1754234768190121323503/18446744073709551616", + "floor_float": 95.09725733606675 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "429061323805254009393/18446744073709551616", + "floor_float": 23.259460969958145 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "96711408730539605707/18446744073709551616", + "floor_float": 5.242735972489231 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "121311045352545027829/2305843009213693952", + "floor_float": 52.61027956708675 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "235055883522455717545/18446744073709551616", + "floor_float": 12.74240497852731 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "168835970105168293931/4611686018427387904", + "floor_float": 36.61046511634423 + }, + "r=[237/512,119/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "327788353255839577303/4611686018427387904", + "floor_float": 71.07776894308545 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "368868484865980758589/18446744073709551616", + "floor_float": 19.996400632656638 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20796884296624414941/4611686018427387904", + "floor_float": 4.5096054270659724 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "416770722749674344155/9223372036854775808", + "floor_float": 45.18637230335508 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "202143530688911468583/18446744073709551616", + "floor_float": 10.958222756340403 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "290173078978741022463/9223372036854775808", + "floor_float": 31.460628262555886 + }, + "r=[237/512,119/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1125497987031809366523/18446744073709551616", + "floor_float": 61.01336813339749 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "375015128989907802415/9223372036854775808", + "floor_float": 40.65922175657897 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "168625774776392167739/18446744073709551616", + "floor_float": 9.141221567480788 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "851379041672211129699/9223372036854775808", + "floor_float": 92.3067006589638 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "205099972150931618221/9223372036854775808", + "floor_float": 22.236983538275652 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1182578212026479198211/18446744073709551616", + "floor_float": 64.10769333065662 + }, + "r=[237/512,119/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "144086546021039030219/1152921504606846976", + "floor_float": 124.9751569775545 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "124161199409515082523/4611686018427387904", + "floor_float": 26.923168427640437 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "111881961668092105109/18446744073709551616", + "floor_float": 6.065133295124269 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "562208730979939215549/9223372036854775808", + "floor_float": 60.95479275187686 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "271969709926716138021/18446744073709551616", + "floor_float": 14.743507517639905 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "782062435325387243775/18446744073709551616", + "floor_float": 42.395689569954456 + }, + "r=[237/512,119/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "379991224115375026217/4611686018427387904", + "floor_float": 82.39746214226317 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "82079712818656573343/2305843009213693952", + "floor_float": 35.596401181989506 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "147731323077308359967/18446744073709551616", + "floor_float": 8.008531071228782 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "744687003378238682713/9223372036854775808", + "floor_float": 80.73912668844065 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "179637436561649225015/9223372036854775808", + "floor_float": 19.47632989798671 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1034875517525821870909/18446744073709551616", + "floor_float": 56.10071421767784 + }, + "r=[237/512,119/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2015462107662537396527/18446744073709551616", + "floor_float": 109.25841978449684 + }, + "r=[237/512,119/256],b=[7/8,1],k=[1,5/4]": { + "floor": "213288006956105116565/4611686018427387904", + "floor_float": 46.24946410138251 + }, + "r=[237/512,119/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "95840330220839469845/9223372036854775808", + "floor_float": 10.39102942371623 + }, + "r=[237/512,119/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1938704754835192846861/18446744073709551616", + "floor_float": 105.09739535001466 + }, + "r=[237/512,119/256],b=[7/8,1],k=[3/4,1]": { + "floor": "58301955774203766451/2305843009213693952", + "floor_float": 25.28444284421821 + }, + "r=[237/512,119/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1345823892073246785655/18446744073709551616", + "floor_float": 72.95725937843557 + }, + "r=[237/512,119/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1313087498694358060097/9223372036854775808", + "floor_float": 142.36523187479798 + }, + "r=[239/512,15/32],b=[0,1/8],k=[1,5/4]": { + "floor": "156363144770947422263/9223372036854775808", + "floor_float": 16.952926125732663 + }, + "r=[239/512,15/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "8810855329055155599/2305843009213693952", + "floor_float": 3.8210993956868333 + }, + "r=[239/512,15/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "705647239395934460279/18446744073709551616", + "floor_float": 38.25321349807355 + }, + "r=[239/512,15/32],b=[0,1/8],k=[3/4,1]": { + "floor": "171400472765471793413/18446744073709551616", + "floor_float": 9.291638246868352 + }, + "r=[239/512,15/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "491708684281989842021/18446744073709551616", + "floor_float": 26.65558118642612 + }, + "r=[239/512,15/32],b=[0,1/8],k=[7/4,2]": { + "floor": "475949492130260545335/9223372036854775808", + "floor_float": 51.602547336100095 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "141863523012943815319/4611686018427387904", + "floor_float": 30.76174796941621 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "127618367281684519703/18446744073709551616", + "floor_float": 6.918205552792768 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "321367148904281812839/4611686018427387904", + "floor_float": 69.68539220149898 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "155278615712918286047/9223372036854775808", + "floor_float": 16.835341249648778 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "893846198779939344115/18446744073709551616", + "floor_float": 48.455499529256016 + }, + "r=[239/512,15/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "869028244876867494207/9223372036854775808", + "floor_float": 94.22023110467647 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "106304536830696615945/4611686018427387904", + "floor_float": 23.05112195538132 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "95747308186733823609/18446744073709551616", + "floor_float": 5.190471977284797 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "240351048664485005123/4611686018427387904", + "floor_float": 52.11782582424077 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "116457338349971679517/9223372036854775808", + "floor_float": 12.626329924091875 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "334605157719255105087/9223372036854775808", + "floor_float": 36.27796389240712 + }, + "r=[239/512,15/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1298426752434412692689/18446744073709551616", + "floor_float": 70.38785529013442 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "365487898514437923053/18446744073709551616", + "floor_float": 19.813138679325757 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "82344504179620777371/18446744073709551616", + "floor_float": 4.463904516189327 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "412773107297807427179/9223372036854775808", + "floor_float": 44.752949967587504 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "12516568073466735565/1152921504606846976", + "floor_float": 10.85639223785227 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "574946153767250934229/18446744073709551616", + "floor_float": 31.16789344883192 + }, + "r=[239/512,15/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1114293184276399113793/18446744073709551616", + "floor_float": 60.40595455891312 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "743871998919227160383/18446744073709551616", + "floor_float": 40.32538186396805 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "167048990694769086333/18446744073709551616", + "floor_float": 9.055743931138974 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "422071434977467704551/4611686018427387904", + "floor_float": 91.52215334932896 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "406751122635004198579/18446744073709551616", + "floor_float": 22.05002254108947 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1172777683707581955681/18446744073709551616", + "floor_float": 63.57640562591391 + }, + "r=[239/512,15/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2285154331768157088351/18446744073709551616", + "floor_float": 123.87846454838485 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "492293065676457490471/18446744073709551616", + "floor_float": 26.687260565298217 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "27696384085445897935/4611686018427387904", + "floor_float": 6.005695959086679 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1114151699189547339245/18446744073709551616", + "floor_float": 60.398284636986176 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "269547457878356683441/18446744073709551616", + "floor_float": 14.612196970982966 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "193780094835194578167/4611686018427387904", + "floor_float": 42.01935996095301 + }, + "r=[239/512,15/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "752795369150414504563/9223372036854775808", + "floor_float": 81.61823746699066 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "651129250869979650825/18446744073709551616", + "floor_float": 35.29778741810455 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "146329026335668340343/18446744073709551616", + "floor_float": 7.93251241254101 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "738208028317317791955/9223372036854775808", + "floor_float": 80.03667480478768 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "356196891038316905085/18446744073709551616", + "floor_float": 19.309472154816284 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "128262544739583171903/2305843009213693952", + "floor_float": 55.62501186207011 + }, + "r=[239/512,15/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1997337724152429390021/18446744073709551616", + "floor_float": 108.27589498566586 + }, + "r=[239/512,15/32],b=[7/8,1],k=[1,5/4]": { + "floor": "211573078137231548931/4611686018427387904", + "floor_float": 45.87759819116636 + }, + "r=[239/512,15/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "189914001680970936491/18446744073709551616", + "floor_float": 10.295258660396222 + }, + "r=[239/512,15/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "60081523611624875439/576460752303423488", + "floor_float": 104.22482948154051 + }, + "r=[239/512,15/32],b=[7/8,1],k=[3/4,1]": { + "floor": "462565484418795764255/18446744073709551616", + "floor_float": 25.075725156183406 + }, + "r=[239/512,15/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1334906432549292833945/18446744073709551616", + "floor_float": 72.36542271174089 + }, + "r=[239/512,15/32],b=[7/8,1],k=[7/4,2]": { + "floor": "2603680974390956475621/18446744073709551616", + "floor_float": 141.1458284446925 + }, + "r=[241/512,121/256],b=[0,1/8],k=[1,5/4]": { + "floor": "309759871634451628537/18446744073709551616", + "floor_float": 16.792116288745174 + }, + "r=[241/512,121/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "69752871455076992647/18446744073709551616", + "floor_float": 3.78131073843483 + }, + "r=[241/512,121/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "174658448021454164143/4611686018427387904", + "floor_float": 37.87301375756143 + }, + "r=[241/512,121/256],b=[0,1/8],k=[3/4,1]": { + "floor": "84879316101146796859/9223372036854775808", + "floor_float": 9.202633891594722 + }, + "r=[241/512,121/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "486966584419615239839/18446744073709551616", + "floor_float": 26.398511437779632 + }, + "r=[241/512,121/256],b=[0,1/8],k=[7/4,2]": { + "floor": "942054984100169232281/18446744073709551616", + "floor_float": 51.06890301811004 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "281269044208102150977/9223372036854775808", + "floor_float": 30.495250878334573 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "126377631630300116423/18446744073709551616", + "floor_float": 6.8509451383572095 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1273889736901289440427/18446744073709551616", + "floor_float": 69.05770101276828 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "307817957094360292339/18446744073709551616", + "floor_float": 16.68684489058776 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "886013997371921832411/18446744073709551616", + "floor_float": 48.03091504016018 + }, + "r=[241/512,121/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "860908787769023386259/9223372036854775808", + "floor_float": 93.33991780110372 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "421365968959006765751/18446744073709551616", + "floor_float": 22.842294947840738 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "23696217450258659981/4611686018427387904", + "floor_float": 5.138298087851872 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "952314510049767778703/18446744073709551616", + "floor_float": 51.625073034271345 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "230774191845879134005/18446744073709551616", + "floor_float": 12.510294007644436 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "165765779331177440805/4611686018427387904", + "floor_float": 35.94472361492306 + }, + "r=[241/512,121/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1285666164179287760169/18446744073709551616", + "floor_float": 69.69610241471445 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "181049967403791710487/9223372036854775808", + "floor_float": 19.629476798762074 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "40751366003640491533/9223372036854775808", + "floor_float": 4.418271955289895 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "817545663380049142021/18446744073709551616", + "floor_float": 44.31923921713761 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "24798253841736374851/2305843009213693952", + "floor_float": 10.754528275623034 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "569536604794921391783/18446744073709551616", + "floor_float": 30.874641211433598 + }, + "r=[241/512,121/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1103056396237562309127/18446744073709551616", + "floor_float": 59.79680705873982 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "737695664494538442661/18446744073709551616", + "floor_float": 39.990562103905816 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "165473465754424448271/18446744073709551616", + "floor_float": 8.970334552982635 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1673776727685031915429/18446744073709551616", + "floor_float": 90.7356182205895 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "201648355773053998409/9223372036854775808", + "floor_float": 21.862758540727505 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "290739014662101047747/4611686018427387904", + "floor_float": 63.043974264588975 + }, + "r=[241/512,121/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "566210313676923049625/4611686018427387904", + "floor_float": 122.77729043444378 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "243965816695264667633/9223372036854775808", + "floor_float": 26.45082684732063 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "109690394046239786635/18446744073709551616", + "floor_float": 5.946328176286211 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "551936260885147083313/9223372036854775808", + "floor_float": 59.84104931252026 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "267122417594549701193/18446744073709551616", + "floor_float": 14.480735273779546 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "384083541429468967369/9223372036854775808", + "floor_float": 41.64242100337565 + }, + "r=[241/512,121/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "745578443324823806791/9223372036854775808", + "floor_float": 80.83577680111345 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "645608494129292323667/18446744073709551616", + "floor_float": 34.99850659550369 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "18115974058900285805/2305843009213693952", + "floor_float": 7.8565513725402925 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1463429284530317209577/18446744073709551616", + "floor_float": 79.33266047833386 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "88278471025660370981/4611686018427387904", + "floor_float": 19.142342013943928 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1017311074916421541671/18446744073709551616", + "floor_float": 55.1485438758974 + }, + "r=[241/512,121/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1979136787857998220765/18446744073709551616", + "floor_float": 107.28922025208124 + }, + "r=[241/512,121/256],b=[7/8,1],k=[1,5/4]": { + "floor": "419708846641405746607/9223372036854775808", + "floor_float": 45.50492433399975 + }, + "r=[241/512,121/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "2939808813898429093/288230376151711744", + "floor_float": 10.199510728706274 + }, + "r=[241/512,121/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1906460893343494335623/18446744073709551616", + "floor_float": 103.34945211608361 + }, + "r=[241/512,121/256],b=[7/8,1],k=[3/4,1]": { + "floor": "28669274110239138149/1152921504606846976", + "floor_float": 24.86663141912296 + }, + "r=[241/512,121/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1323969352889925595557/18446744073709551616", + "floor_float": 71.77252243537424 + }, + "r=[241/512,121/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2581092587533614204901/18446744073709551616", + "floor_float": 139.92130953950883 + }, + "r=[243/512,61/128],b=[0,1/8],k=[1,5/4]": { + "floor": "76699073906982445233/4611686018427387904", + "floor_float": 16.63146051151533 + }, + "r=[243/512,61/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "69019381978222478237/18446744073709551616", + "floor_float": 3.741548194219784 + }, + "r=[243/512,61/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "691599230700531402687/18446744073709551616", + "floor_float": 37.49166942074098 + }, + "r=[243/512,61/128],b=[0,1/8],k=[3/4,1]": { + "floor": "168117217126337604257/18446744073709551616", + "floor_float": 9.113652602029624 + }, + "r=[243/512,61/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "482210479737088899277/18446744073709551616", + "floor_float": 26.140682486311455 + }, + "r=[243/512,61/128],b=[0,1/8],k=[7/4,2]": { + "floor": "932212499123286271973/18446744073709551616", + "floor_float": 50.53534083838042 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "557609654254245528277/18446744073709551616", + "floor_float": 30.2280799270672 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "31284372204149181843/4611686018427387904", + "floor_float": 6.7837168617167345 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1262286858711393029161/18446744073709551616", + "floor_float": 68.42870772573977 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "305080336337881219431/18446744073709551616", + "floor_float": 16.53843817200696 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "439078637733160572535/9223372036854775808", + "floor_float": 47.605001292226845 + }, + "r=[243/512,61/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "213195665791706820819/2305843009213693952", + "floor_float": 92.45888160634483 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "417509751290236173037/18446744073709551616", + "floor_float": 22.633248969137835 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "23455715069168537493/4611686018427387904", + "floor_float": 5.0861474470387025 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "943201216842413043941/18446744073709551616", + "floor_float": 51.131040419575776 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "228635328914865863781/18446744073709551616", + "floor_float": 12.394346015821771 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "164224196081115659187/4611686018427387904", + "floor_float": 35.61044603316621 + }, + "r=[243/512,61/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1272907544805310512955/18446744073709551616", + "floor_float": 69.00445627255536 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "179356493331766243067/9223372036854775808", + "floor_float": 19.445869971968285 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "80661480872460556787/18446744073709551616", + "floor_float": 4.3726676398909845 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "809523579596250422355/18446744073709551616", + "floor_float": 43.88436118382484 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "196508490362410887119/18446744073709551616", + "floor_float": 10.652746608138635 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "282055411938655579079/9223372036854775808", + "floor_float": 30.580509038518425 + }, + "r=[243/512,61/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1091825738940245226689/18446744073709551616", + "floor_float": 59.187991906730254 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "731502905340876966329/18446744073709551616", + "floor_float": 39.654851957501855 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "81949425803071287637/9223372036854775808", + "floor_float": 8.884974548962955 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "829621991062239860391/9223372036854775808", + "floor_float": 89.94779650514302 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "199921068175653935187/9223372036854775808", + "floor_float": 21.675485644166663 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1153104380057478426065/18446744073709551616", + "floor_float": 62.50991369804344 + }, + "r=[243/512,61/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2244478459975386033787/18446744073709551616", + "floor_float": 121.67342112011164 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "241780907940180650265/9223372036854775808", + "floor_float": 26.21393856542616 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "108595888601864898773/18446744073709551616", + "floor_float": 5.8869949172567875 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1093569508099183283475/18446744073709551616", + "floor_float": 59.28252182225195 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "264700218577430548083/18446744073709551616", + "floor_float": 14.349427601951904 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "761192268772791725945/18446744073709551616", + "floor_float": 41.26431557413154 + }, + "r=[243/512,61/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "369182787051488786179/4611686018427387904", + "floor_float": 80.0537559530955 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "320036699392159378313/9223372036854775808", + "floor_float": 34.69844847560695 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "8970465104116244567/1152921504606846976", + "floor_float": 7.780638203270591 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1450417538326197259293/18446744073709551616", + "floor_float": 78.62729230321702 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "175016319215081075993/9223372036854775808", + "floor_float": 18.975307351340742 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1008494541009634274125/18446744073709551616", + "floor_float": 54.67059861512086 + }, + "r=[243/512,61/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1960909889731746615853/18446744073709551616", + "floor_float": 106.30113812477353 + }, + "r=[243/512,61/128],b=[7/8,1],k=[1,5/4]": { + "floor": "832524388134846767621/18446744073709551616", + "floor_float": 45.13123751314831 + }, + "r=[243/512,61/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "93191263228232190855/9223372036854775808", + "floor_float": 10.103817004871784 + }, + "r=[243/512,61/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1890286655066533234785/18446744073709551616", + "floor_float": 102.47264490217464 + }, + "r=[243/512,61/128],b=[7/8,1],k=[3/4,1]": { + "floor": "56856089521876182325/2305843009213693952", + "floor_float": 24.657398311459392 + }, + "r=[243/512,61/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "656499352606639895267/9223372036854775808", + "floor_float": 71.17780243314462 + }, + "r=[243/512,61/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2558431385013309030221/18446744073709551616", + "floor_float": 138.6928432893264 + }, + "r=[245/512,123/256],b=[0,1/8],k=[1,5/4]": { + "floor": "303832297672214890477/18446744073709551616", + "floor_float": 16.470781860373894 + }, + "r=[245/512,123/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "4267906386928193143/1152921504606846976", + "floor_float": 3.7018187013378454 + }, + "r=[245/512,123/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "342271251066317404221/9223372036854775808", + "floor_float": 37.10912339854328 + }, + "r=[245/512,123/256],b=[0,1/8],k=[3/4,1]": { + "floor": "166474143487312141287/18446744073709551616", + "floor_float": 9.02458140158037 + }, + "r=[245/512,123/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "238729228708424640723/9223372036854775808", + "floor_float": 25.883074840146286 + }, + "r=[245/512,123/256],b=[0,1/8],k=[7/4,2]": { + "floor": "115291617768058247827/2305843009213693952", + "floor_float": 49.99976898139885 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "69085874175345466183/2305843009213693952", + "floor_float": 29.961221947587905 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "123897578926654616281/18446744073709551616", + "floor_float": 6.71650121189866 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1250641306603932330389/18446744073709551616", + "floor_float": 67.79740108100467 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "75584999948890019957/4611686018427387904", + "floor_float": 16.38988423038066 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "217569657388213210525/4611686018427387904", + "floor_float": 47.17789904144553 + }, + "r=[245/512,123/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1689268008161709157751/18446744073709551616", + "floor_float": 91.5754022179593 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "206828547501014654711/9223372036854775808", + "floor_float": 22.424396053262143 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "46430631920503989067/9223372036854775808", + "floor_float": 5.034019199808523 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "233514021245852893175/4611686018427387904", + "floor_float": 50.635281828115986 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "226494003458875207431/18446744073709551616", + "floor_float": 12.278264530252592 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "650722110023159884123/18446744073709551616", + "floor_float": 35.27571626857307 + }, + "r=[245/512,123/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "315026292446864866873/4611686018427387904", + "floor_float": 68.31043813218895 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "355327774637107001719/18446744073709551616", + "floor_float": 19.262357260299556 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "19955180551256422149/4611686018427387904", + "floor_float": 4.327090021202539 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "400737026168252330233/9223372036854775808", + "floor_float": 43.44799543669996 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "97314457319340048715/9223372036854775808", + "floor_float": 10.550854603987638 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "558683367485978710799/18446744073709551616", + "floor_float": 30.286286037990777 + }, + "r=[245/512,123/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "540276995159435180711/9223372036854775808", + "floor_float": 58.57694918958 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "725305414787730204101/18446744073709551616", + "floor_float": 39.31888532141785 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "40581057343820937885/4611686018427387904", + "floor_float": 8.7996141067859 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "822328297999873443989/9223372036854775808", + "floor_float": 89.15701271877701 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "198192588080884587339/9223372036854775808", + "floor_float": 21.488083456781975 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "285805427078533677393/4611686018427387904", + "floor_float": 61.974172989338726 + }, + "r=[245/512,123/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2224075051760378190425/18446744073709551616", + "floor_float": 120.56735014447064 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "119799574324794941295/4611686018427387904", + "floor_float": 25.977391749156265 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107501775097615682155/18446744073709551616", + "floor_float": 5.827682905344151 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "270807348601552845809/4611686018427387904", + "floor_float": 58.72198313576858 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "131137584897194091425/9223372036854775808", + "floor_float": 14.217965444004012 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "754202001773968919787/18446744073709551616", + "floor_float": 40.88537244081267 + }, + "r=[245/512,123/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1462255958097941938499/18446744073709551616", + "floor_float": 79.26905432498307 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "634538543711576418943/18446744073709551616", + "floor_float": 34.39840338089397 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "142127338870671877085/18446744073709551616", + "floor_float": 7.704738478658297 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1437357459261338907069/18446744073709551616", + "floor_float": 77.91930399846943 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "346948623201445543747/18446744073709551616", + "floor_float": 18.808122550793097 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "249912873317058791453/4611686018427387904", + "floor_float": 54.19121603648996 + }, + "r=[245/512,123/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "971319327718952381805/9223372036854775808", + "floor_float": 105.31065252900478 + }, + "r=[245/512,123/256],b=[7/8,1],k=[1,5/4]": { + "floor": "206405331160893486915/4611686018427387904", + "floor_float": 44.75702169144614 + }, + "r=[245/512,123/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "184617148718498100659/18446744073709551616", + "floor_float": 10.008115685933754 + }, + "r=[245/512,123/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "937025921612555531403/9223372036854775808", + "floor_float": 101.59255398875646 + }, + "r=[245/512,123/256],b=[7/8,1],k=[3/4,1]": { + "floor": "225493802765147586807/9223372036854775808", + "floor_float": 24.448087083999088 + }, + "r=[245/512,123/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "325498067000365221165/4611686018427387904", + "floor_float": 70.58114227632565 + }, + "r=[245/512,123/256],b=[7/8,1],k=[7/4,2]": { + "floor": "316966748690094150797/2305843009213693952", + "floor_float": 137.4624150141868 + }, + "r=[247/512,31/64],b=[0,1/8],k=[1,5/4]": { + "floor": "37607825098074950721/2305843009213693952", + "floor_float": 16.309794269515095 + }, + "r=[247/512,31/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "67555559287298156453/18446744073709551616", + "floor_float": 3.6621942071380977 + }, + "r=[247/512,31/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "677491147461673063063/18446744073709551616", + "floor_float": 36.72686869588216 + }, + "r=[247/512,31/64],b=[0,1/8],k=[3/4,1]": { + "floor": "164830169277385893611/18446744073709551616", + "floor_float": 8.935461381084762 + }, + "r=[247/512,31/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "118176523761975237899/4611686018427387904", + "floor_float": 25.625448759903676 + }, + "r=[247/512,31/64],b=[0,1/8],k=[7/4,2]": { + "floor": "456213871395364160225/9223372036854775808", + "floor_float": 49.46280704848763 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "547754032083648062963/18446744073709551616", + "floor_float": 29.693805578639296 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "61329330229071377053/9223372036854775808", + "floor_float": 6.649339307144011 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "619484931446036507789/9223372036854775808", + "floor_float": 67.16469084958266 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "299596045241970551757/18446744073709551616", + "floor_float": 16.241134155970496 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "862403444323691506605/18446744073709551616", + "floor_float": 46.750984394736406 + }, + "r=[247/512,31/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1672907105025962224247/18446744073709551616", + "floor_float": 90.68847588177921 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "204898095949335191991/9223372036854775808", + "floor_float": 22.215096076641256 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "22975258977430247329/4611686018427387904", + "floor_float": 4.981965139349392 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "924901803775762696749/18446744073709551616", + "floor_float": 50.139027249472186 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "56087676377526284531/4611686018427387904", + "floor_float": 12.162076115635582 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "161137180015548225191/4611686018427387904", + "floor_float": 34.94105612820904 + }, + "r=[247/512,31/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "77953821207819616763/1152921504606846976", + "floor_float": 67.6141618456517 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "175967788039640391529/9223372036854775808", + "floor_float": 19.078465808004687 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78981797733711361761/18446744073709551616", + "floor_float": 4.281611834485028 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "793425219328185662563/18446744073709551616", + "floor_float": 43.01166732502033 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "192747690405753231979/18446744073709551616", + "floor_float": 10.448873233974053 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "276628548187363227039/9223372036854775808", + "floor_float": 29.992127291625025 + }, + "r=[247/512,31/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "534622123167783236603/9223372036854775808", + "floor_float": 57.963846739732354 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "719101296599189049293/18446744073709551616", + "floor_float": 38.98255940049919 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "160749939351994061475/18446744073709551616", + "floor_float": 8.714271673617253 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1630022068007880568981/18446744073709551616", + "floor_float": 88.36367336667294 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "196461541752994759243/9223372036854775808", + "floor_float": 21.300403037844855 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "566664057817922935165/9223372036854775808", + "floor_float": 61.43784025556435 + }, + "r=[247/512,31/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2203588578512193290109/18446744073709551616", + "floor_float": 119.45677620435822 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "237412448876057272719/9223372036854775808", + "floor_float": 25.740309284652504 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "106408757475417099219/18446744073709551616", + "floor_float": 5.768430301316519 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "268216738397737483813/4611686018427387904", + "floor_float": 58.16023409356064 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "129923667770770294635/9223372036854775808", + "floor_float": 14.086352285435407 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "747215990493236362271/18446744073709551616", + "floor_float": 40.50666001043374 + }, + "r=[247/512,31/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1447728830338596855953/18446744073709551616", + "floor_float": 78.48153715115025 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "157248825391111045493/4611686018427387904", + "floor_float": 34.09790362196727 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "35181986679544105293/4611686018427387904", + "floor_float": 7.62887727806356 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1424262420295252631687/18446744073709551616", + "floor_float": 77.20942051367878 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "343860274710833566221/18446744073709551616", + "floor_float": 18.640702843647407 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "990802728447781976961/18446744073709551616", + "floor_float": 53.71152353438253 + }, + "r=[247/512,31/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1924293306907642923907/18446744073709551616", + "floor_float": 104.3161491924291 + }, + "r=[247/512,31/64],b=[7/8,1],k=[1,5/4]": { + "floor": "409355400225800161425/9223372036854775808", + "floor_float": 44.38240142434857 + }, + "r=[247/512,31/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "182851869634122557159/18446744073709551616", + "floor_float": 9.912419715017595 + }, + "r=[247/512,31/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "928880266303936162693/9223372036854775808", + "floor_float": 100.70940027056415 + }, + "r=[247/512,31/64],b=[7/8,1],k=[3/4,1]": { + "floor": "447120343090212394527/18446744073709551616", + "floor_float": 24.238442367043618 + }, + "r=[247/512,31/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "645484373215982742867/9223372036854775808", + "floor_float": 69.98355597462127 + }, + "r=[247/512,31/64],b=[7/8,1],k=[7/4,2]": { + "floor": "628235394000447671917/4611686018427387904", + "floor_float": 136.22683580151445 + }, + "r=[249/512,125/256],b=[0,1/8],k=[1,5/4]": { + "floor": "9309076399718328955/576460752303423488", + "floor_float": 16.14867337025304 + }, + "r=[249/512,125/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "33413212051959966853/9223372036854775808", + "floor_float": 3.6226677096453836 + }, + "r=[249/512,125/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "670436834966096132899/18446744073709551616", + "floor_float": 36.344453649227354 + }, + "r=[249/512,125/256],b=[0,1/8],k=[3/4,1]": { + "floor": "81594538172042284365/9223372036854775808", + "floor_float": 8.846497554907966 + }, + "r=[249/512,125/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "233971002722763846815/9223372036854775808", + "floor_float": 25.367186945063242 + }, + "r=[249/512,125/256],b=[0,1/8],k=[7/4,2]": { + "floor": "451264908481691312381/9223372036854775808", + "floor_float": 48.92623941423221 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "135702973682090293729/4611686018427387904", + "floor_float": 29.425891775773106 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "60710640469240636055/9223372036854775808", + "floor_float": 6.582260828973708 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "613641949159129103493/9223372036854775808", + "floor_float": 66.53119344065672 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "296851359634114066573/18446744073709551616", + "floor_float": 16.092344451029113 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "53406740653525401761/1152921504606846976", + "floor_float": 46.32296339353772 + }, + "r=[249/512,125/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "6470783171508273533/72057594037927936", + "floor_float": 89.80015580456848 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "405929170673567067705/18446744073709551616", + "floor_float": 22.005464435976027 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "90942839873671139469/18446744073709551616", + "floor_float": 4.93002122815178 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "915739179362683781851/18446744073709551616", + "floor_float": 49.64232038475574 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "222206627969990844887/18446744073709551616", + "floor_float": 12.045845439287117 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "638362127813416580915/18446744073709551616", + "floor_float": 34.605680290388776 + }, + "r=[249/512,125/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1234393678128953226961/18446744073709551616", + "floor_float": 66.91661537648918 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "87135006899940617891/4611686018427387904", + "floor_float": 18.89439275609101 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "39072078113081530343/9223372036854775808", + "floor_float": 4.236203197372633 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "196341355009096026029/4611686018427387904", + "floor_float": 42.57474472992192 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "47717120847503981683/4611686018427387904", + "floor_float": 10.347001217523434 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "136954454592701249205/4611686018427387904", + "floor_float": 29.697263440194813 + }, + "r=[249/512,125/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1057942504439392999055/18446744073709551616", + "floor_float": 57.35117808389727 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "356441465578021284509/9223372036854775808", + "floor_float": 38.64546113436078 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "19897237236283266147/2305843009213693952", + "floor_float": 8.629051135215116 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1615370404256134947725/18446744073709551616", + "floor_float": 87.56940508316445 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "389457947485949088509/18446744073709551616", + "floor_float": 21.112557637800574 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1123417445147857476191/18446744073709551616", + "floor_float": 60.90058173187111 + }, + "r=[249/512,125/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "272880694268036917677/2305843009213693952", + "floor_float": 118.34313662190334 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "235221944429845550585/9223372036854775808", + "floor_float": 25.502814316710314 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "6582419600101455797/1152921504606846976", + "floor_float": 5.709338904512931 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "531254122138102191299/9223372036854775808", + "floor_float": 57.59868733640099 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "257419800190890039265/18446744073709551616", + "floor_float": 13.954755330387373 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "185053365560406706231/4611686018427387904", + "floor_float": 40.127052193269435 + }, + "r=[249/512,125/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "716591455455821721113/9223372036854775808", + "floor_float": 77.69300127897515 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "311720114230802442541/9223372036854775808", + "floor_float": 33.79676250564656 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "139330126542237580423/18446744073709551616", + "floor_float": 7.5531012944887115 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1411144836674891251027/18446744073709551616", + "floor_float": 76.49831488073097 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "170384527522860003109/9223372036854775808", + "floor_float": 18.473127489820104 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "981940375615491034819/18446744073709551616", + "floor_float": 53.23109442467738 + }, + "r=[249/512,125/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1905898890556047574253/18446744073709551616", + "floor_float": 103.31898588392897 + }, + "r=[249/512,125/256],b=[7/8,1],k=[1,5/4]": { + "floor": "405892452430167228029/9223372036854775808", + "floor_float": 44.006947872025655 + }, + "r=[249/512,125/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "181087841565407567663/18446744073709551616", + "floor_float": 9.816791561796286 + }, + "r=[249/512,125/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1841440552310303878879/18446744073709551616", + "floor_float": 99.82469236588693 + }, + "r=[249/512,125/256],b=[7/8,1],k=[3/4,1]": { + "floor": "221624421417681202595/9223372036854775808", + "floor_float": 24.02856791768929 + }, + "r=[249/512,125/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "639959827416160954355/9223372036854775808", + "floor_float": 69.38458351880502 + }, + "r=[249/512,125/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2490081274105245248293/18446744073709551616", + "floor_float": 134.987576352519 + }, + "r=[25/128,101/512],b=[0,1/8],k=[1,5/4]": { + "floor": "61930988758716964129/2305843009213693952", + "floor_float": 26.858285022550515 + }, + "r=[25/128,101/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "29870052391336007341/4611686018427387904", + "floor_float": 6.477035138988467 + }, + "r=[25/128,101/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "561496573221301469273/9223372036854775808", + "floor_float": 60.877580452970115 + }, + "r=[25/128,101/512],b=[0,1/8],k=[3/4,1]": { + "floor": "137858533753564685951/9223372036854775808", + "floor_float": 14.946652179128108 + }, + "r=[25/128,101/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "778076205967127819805/18446744073709551616", + "floor_float": 42.17959564344194 + }, + "r=[25/128,101/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1529601963303587565011/18446744073709551616", + "floor_float": 82.91988858259212 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "864870176319013434201/18446744073709551616", + "floor_float": 46.88470620414978 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "208764248619778790173/18446744073709551616", + "floor_float": 11.317132594543407 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "980364245354647315051/9223372036854775808", + "floor_float": 106.29130446406207 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "481376253496501804185/18446744073709551616", + "floor_float": 26.095458991192007 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1358298853332775997431/18446744073709551616", + "floor_float": 73.63352838339827 + }, + "r=[25/128,101/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2671231339895762979471/18446744073709551616", + "floor_float": 144.80774109631756 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "660218090941052981933/18446744073709551616", + "floor_float": 35.7904944256261 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "19912778958951096479/2305843009213693952", + "floor_float": 8.635791283007368 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "93539252614762457963/1152921504606846976", + "floor_float": 81.13236871807669 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "22965067354733614233/1152921504606846976", + "floor_float": 19.919020733822496 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1036866968414581313125/18446744073709551616", + "floor_float": 56.2086709866774 + }, + "r=[25/128,101/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2038749406616655760361/18446744073709551616", + "floor_float": 110.52082679036556 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "286564792541901307899/9223372036854775808", + "floor_float": 31.069417063178726 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "138263593748769916455/18446744073709551616", + "floor_float": 7.495284435903478 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "649563529904281269767/9223372036854775808", + "floor_float": 70.42581902895746 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "79741155676317750527/4611686018427387904", + "floor_float": 17.291106844153703 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "900075518286320991251/18446744073709551616", + "floor_float": 48.79319161635228 + }, + "r=[25/128,101/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1769610166886105758653/18446744073709551616", + "floor_float": 95.9307593695176 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "557356525208386290941/9223372036854775808", + "floor_float": 60.42871554799042 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "67271088119910979995/4611686018427387904", + "floor_float": 14.587091977014259 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "157962336052693194739/1152921504606846976", + "floor_float": 137.01048633537224 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "620472848094480636135/18446744073709551616", + "floor_float": 33.63590049361522 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "437683113338909831461/4611686018427387904", + "floor_float": 94.90739646845306 + }, + "r=[25/128,101/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "215224191376693998499/1152921504606846976", + "floor_float": 186.67722868963807 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "757194006664828123385/18446744073709551616", + "floor_float": 41.04756935095051 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "22842425495627733177/2305843009213693952", + "floor_float": 9.906322938879146 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "429134299921727171345/4611686018427387904", + "floor_float": 93.05366805263652 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "421428919699669100709/18446744073709551616", + "floor_float": 22.845707514330023 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1189178528543637376403/18446744073709551616", + "floor_float": 64.46549720600636 + }, + "r=[25/128,101/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2338436237446850694701/18446744073709551616", + "floor_float": 126.76688244293523 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "983843077354990490517/18446744073709551616", + "floor_float": 53.33424009265524 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "59377401104353354889/4611686018427387904", + "floor_float": 12.87542145477662 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1115285445332779971575/9223372036854775808", + "floor_float": 120.91949027712633 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "547610248868666652961/18446744073709551616", + "floor_float": 29.686011074936808 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1545173856062113758147/18446744073709551616", + "floor_float": 83.7640425805174 + }, + "r=[25/128,101/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1519504969021688234379/9223372036854775808", + "floor_float": 164.74505885158334 + }, + "r=[25/128,101/512],b=[7/8,1],k=[1,5/4]": { + "floor": "314563289732164366545/4611686018427387904", + "floor_float": 68.21004042235995 + }, + "r=[25/128,101/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "151849175973665800769/9223372036854775808", + "floor_float": 16.463520648078212 + }, + "r=[25/128,101/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1426512915482140295885/9223372036854775808", + "floor_float": 154.66284020443672 + }, + "r=[25/128,101/512],b=[7/8,1],k=[3/4,1]": { + "floor": "700334249326109079033/18446744073709551616", + "floor_float": 37.96519572926862 + }, + "r=[25/128,101/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "988106720991537612863/9223372036854775808", + "floor_float": 107.13074535465533 + }, + "r=[25/128,101/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1943727540115937062313/9223372036854775808", + "floor_float": 210.73936217136045 + }, + "r=[25/64,201/512],b=[0,1/8],k=[1,5/4]": { + "floor": "184786840100871404387/9223372036854775808", + "floor_float": 20.03462934840963 + }, + "r=[25/64,201/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "10612660071601647537/2305843009213693952", + "floor_float": 4.60250764219227 + }, + "r=[25/64,201/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "839099847255052451587/18446744073709551616", + "floor_float": 45.48769386630914 + }, + "r=[25/64,201/512],b=[0,1/8],k=[3/4,1]": { + "floor": "101595102438147593807/9223372036854775808", + "floor_float": 11.014963077732698 + }, + "r=[25/64,201/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "582154337325208930685/18446744073709551616", + "floor_float": 31.558649862492537 + }, + "r=[25/64,201/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1138454725193321492111/18446744073709551616", + "floor_float": 61.71575431654936 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "661041078175689621761/18446744073709551616", + "floor_float": 35.83510865301214 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "151810632079838554069/18446744073709551616", + "floor_float": 8.229670855367928 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1503862940541688714817/18446744073709551616", + "floor_float": 81.5245733627869 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "363165396721969223495/18446744073709551616", + "floor_float": 19.687235604875955 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "521141769248322273979/9223372036854775808", + "floor_float": 56.50230383919705 + }, + "r=[25/64,201/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1021474475233408785445/9223372036854775808", + "floor_float": 110.74848451865525 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "249392793858560459853/9223372036854775808", + "floor_float": 27.03922089036808 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "57288935564401934561/9223372036854775808", + "floor_float": 6.2112788398306655 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1133618075571786592565/18446744073709551616", + "floor_float": 61.45355901518839 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "274117347257719030481/18446744073709551616", + "floor_float": 14.85993117063912 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "786080578561023212369/18446744073709551616", + "floor_float": 42.61351355122618 + }, + "r=[25/64,201/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1538968474886682425493/18446744073709551616", + "floor_float": 83.42764819294223 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "215145402392800995631/9223372036854775808", + "floor_float": 23.326111267454287 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "49425656038717200929/9223372036854775808", + "floor_float": 5.358740365369848 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "977457215024753300765/18446744073709551616", + "floor_float": 52.98806180207342 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "236530579255891512257/18446744073709551616", + "floor_float": 12.822348394424619 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "169493730281434234667/4611686018427387904", + "floor_float": 36.75309411876062 + }, + "r=[25/64,201/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "82910413361545072007/1152921504606846976", + "floor_float": 71.91332023060669 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "430517860101954268939/9223372036854775808", + "floor_float": 46.67683992163493 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "197676579392313080131/18446744073709551616", + "floor_float": 10.716068841332456 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1960982545534235416443/18446744073709551616", + "floor_float": 106.30507680371863 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "236448112523298273723/9223372036854775808", + "floor_float": 25.6357557277857 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "21223815073834092313/288230376151711744", + "floor_float": 73.63490051674086 + }, + "r=[25/64,201/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1332719797647559729143/9223372036854775808", + "floor_float": 144.4937699923926 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "575462165408639456733/18446744073709551616", + "floor_float": 31.19586649596298 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "16522335068122973283/2305843009213693952", + "floor_float": 7.165420630156945 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "163560585783942482055/2305843009213693952", + "floor_float": 70.93309697598086 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "316186275079216448273/18446744073709551616", + "floor_float": 17.14049231754929 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "907110657097912519969/18446744073709551616", + "floor_float": 49.17456725551551 + }, + "r=[25/64,201/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1776908026821463804157/18446744073709551616", + "floor_float": 96.3263771493381 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "756042999540147792461/18446744073709551616", + "floor_float": 40.985173129694275 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "86801741277823441037/9223372036854775808", + "floor_float": 9.411063646894085 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "430237888954829564341/4611686018427387904", + "floor_float": 93.29297077808069 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "207649760155811799379/9223372036854775808", + "floor_float": 22.51343210770251 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1192389933998609176371/18446744073709551616", + "floor_float": 64.63958784455697 + }, + "r=[25/64,201/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "292316988651943444741/2305843009213693952", + "floor_float": 126.77228566034306 + }, + "r=[25/64,201/512],b=[7/8,1],k=[1,5/4]": { + "floor": "976702302110473514451/18446744073709551616", + "floor_float": 52.947137890988444 + }, + "r=[25/64,201/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "224179363137851992765/18446744073709551616", + "floor_float": 12.152787627023796 + }, + "r=[25/64,201/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2225627754801617119901/18446744073709551616", + "floor_float": 120.65152234499745 + }, + "r=[25/64,201/512],b=[7/8,1],k=[3/4,1]": { + "floor": "134082360172910779593/4611686018427387904", + "floor_float": 29.074477238290747 + }, + "r=[25/64,201/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1541202680101177503213/18446744073709551616", + "floor_float": 83.54876470030892 + }, + "r=[25/64,201/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3025990393255845569131/18446744073709551616", + "floor_float": 164.03926791441268 + }, + "r=[251/512,63/128],b=[0,1/8],k=[1,5/4]": { + "floor": "147460123284435704283/9223372036854775808", + "floor_float": 15.98765860199655 + }, + "r=[251/512,63/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "4131140036968692443/1152921504606846976", + "floor_float": 3.5831928023386426 + }, + "r=[251/512,63/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "331684846080790787371/9223372036854775808", + "floor_float": 35.96134307013135 + }, + "r=[251/512,63/128],b=[0,1/8],k=[3/4,1]": { + "floor": "40387188358206213295/4611686018427387904", + "floor_float": 8.75757547170969 + }, + "r=[251/512,63/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "463177167717938953399/18446744073709551616", + "floor_float": 25.108884574273613 + }, + "r=[251/512,63/128],b=[0,1/8],k=[7/4,2]": { + "floor": "446309271497559540617/9223372036854775808", + "floor_float": 48.38894817580769 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "134465344592802571289/4611686018427387904", + "floor_float": 29.157523746305706 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "15023167657067818205/2305843009213693952", + "floor_float": 6.515260404562758 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1215569363064730452995/18446744073709551616", + "floor_float": 65.89614721208008 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "294104584256766504091/18446744073709551616", + "floor_float": 15.943441459456617 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "211648711754711542353/4611686018427387904", + "floor_float": 45.89399861764331 + }, + "r=[251/512,63/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1640086388541698576729/18446744073709551616", + "floor_float": 88.90926127604074 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "201031167764235015761/9223372036854775808", + "floor_float": 21.795842882728152 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "44993084306547649313/9223372036854775808", + "floor_float": 4.878159975198241 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "906560307287090894797/18446744073709551616", + "floor_float": 49.14473273248952 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "214908867814904269/18014398509481984", + "floor_float": 11.929838662211548 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "316082906344294441813/9223372036854775808", + "floor_float": 34.26977737440163 + }, + "r=[251/512,63/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1221529065157874972815/18446744073709551616", + "floor_float": 66.21922330991777 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "43142542628338762735/2305843009213693952", + "floor_float": 18.710095377677348 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "38653952060207955667/9223372036854775808", + "floor_float": 4.190869879882801 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "777289554172773096211/18446744073709551616", + "floor_float": 42.13695116422049 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "188988354391679334383/18446744073709551616", + "floor_float": 10.245079220295958 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "542368667426246646717/18446744073709551616", + "floor_float": 29.40186437558023 + }, + "r=[251/512,63/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1046607717279023562407/18446744073709551616", + "floor_float": 56.736718040700595 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "353328485289474188787/9223372036854775808", + "floor_float": 38.30795113518605 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "39401686322372075261/4611686018427387904", + "floor_float": 8.543878782061638 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "800339734081489055337/9223372036854775808", + "floor_float": 86.77300784176214 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "192995625346163937473/9223372036854775808", + "floor_float": 20.924627628050942 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "556741347344377726001/9223372036854775808", + "floor_float": 60.362017830328114 + }, + "r=[251/512,63/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2162460542177225961727/18446744073709551616", + "floor_float": 117.22722088713651 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "466061450262264285017/18446744073709551616", + "floor_float": 25.26524184430459 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "13028684055941936843/2305843009213693952", + "floor_float": 5.650291023231801 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1052121081589626783537/18446744073709551616", + "floor_float": 57.035598118863604 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "127496166378171963103/9223372036854775808", + "floor_float": 13.823162057078736 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "91649990927411724439/2305843009213693952", + "floor_float": 39.746847708710625 + }, + "r=[251/512,63/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1418614946814564864749/18446744073709551616", + "floor_float": 76.90327036283797 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "308939650897843509641/9223372036854775808", + "floor_float": 33.495304067035526 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "68967159249724143431/9223372036854775808", + "floor_float": 7.477434388870467 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "87375376784006262161/1152921504606846976", + "floor_float": 75.78605866476728 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "168839883560800406745/9223372036854775808", + "floor_float": 18.305656855881942 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "30408044710946735061/576460752303423488", + "floor_float": 52.74954901863168 + }, + "r=[251/512,63/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "471871191902660256299/4611686018427387904", + "floor_float": 102.32075427883773 + }, + "r=[251/512,63/128],b=[7/8,1],k=[1,5/4]": { + "floor": "804837687309718968359/18446744073709551616", + "floor_float": 43.63033845397032 + }, + "r=[251/512,63/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "22415605998037857387/2305843009213693952", + "floor_float": 9.721219488260699 + }, + "r=[251/512,63/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "912536926531965908019/9223372036854775808", + "floor_float": 98.93745182192026 + }, + "r=[251/512,63/128],b=[7/8,1],k=[3/4,1]": { + "floor": "109843240241855303959/4611686018427387904", + "floor_float": 23.81845594061334 + }, + "r=[251/512,63/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1268846401165640089569/18446744073709551616", + "floor_float": 68.78430123471004 + }, + "r=[251/512,63/128],b=[7/8,1],k=[7/4,2]": { + "floor": "77098357766274759669/576460752303423488", + "floor_float": 133.7443311764156 + }, + "r=[253/512,127/256],b=[0,1/8],k=[1,5/4]": { + "floor": "291945419549564450411/18446744073709551616", + "floor_float": 15.826392906141491 + }, + "r=[253/512,127/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "65371048699827895097/18446744073709551616", + "floor_float": 3.5437716509004558 + }, + "r=[253/512,127/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "656286483109284692715/18446744073709551616", + "floor_float": 35.57736153799789 + }, + "r=[253/512,127/256],b=[0,1/8],k=[3/4,1]": { + "floor": "159907732418309106671/18446744073709551616", + "floor_float": 8.668615544258072 + }, + "r=[253/512,127/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "229201183082118550715/9223372036854775808", + "floor_float": 24.850042063388077 + }, + "r=[253/512,127/256],b=[0,1/8],k=[7/4,2]": { + "floor": "882680266234411138267/18446744073709551616", + "floor_float": 47.8501931130716 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "266456434488960217973/9223372036854775808", + "floor_float": 28.889264514567216 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "118951404546381177705/18446744073709551616", + "floor_float": 6.4483685614694295 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "150479958159714458539/2305843009213693952", + "floor_float": 65.26027902091609 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "291361296984349379397/18446744073709551616", + "floor_float": 15.794727558431292 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "419337951043441625731/9223372036854775808", + "floor_float": 45.464711752691954 + }, + "r=[253/512,127/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1623641446669729103609/18446744073709551616", + "floor_float": 88.01777919084138 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "398193993221811809893/18446744073709551616", + "floor_float": 21.58613962608833 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "89031011182070121989/18446744073709551616", + "floor_float": 4.826380787109083 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "224342800353356164127/4611686018427387904", + "floor_float": 48.64659030491811 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "217925947727400299647/18446744073709551616", + "floor_float": 11.813789298350494 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "625966136339500822503/18446744073709551616", + "floor_float": 33.93369224608221 + }, + "r=[253/512,127/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "302159906565526136165/4611686018427387904", + "floor_float": 65.52048542727209 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "341745554963113532517/18446744073709551616", + "floor_float": 18.5260636564136 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "76473341020493042179/18446744073709551616", + "floor_float": 4.14562812358217 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "384603705877653869777/9223372036854775808", + "floor_float": 41.69881734585283 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "187111647453499191877/18446744073709551616", + "floor_float": 10.143342733321282 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "536920810362770575097/18446744073709551616", + "floor_float": 29.10653545239967 + }, + "r=[253/512,127/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1035270026916521004775/18446744073709551616", + "floor_float": 56.12210061460094 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "350208655991677201715/9223372036854775808", + "floor_float": 37.96969856494051 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "19504523420973052943/2305843009213693952", + "floor_float": 8.458738666525354 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "792970665603496236351/9223372036854775808", + "floor_float": 85.97405183645871 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "382520366532227365455/18446744073709551616", + "floor_float": 20.736470620709618 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1103521037478333311139/18446744073709551616", + "floor_float": 59.82199531087333 + }, + "r=[253/512,127/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2141797135104097353315/18446744073709551616", + "floor_float": 116.10705534515459 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "230835288333684573237/9223372036854775808", + "floor_float": 25.027212109769863 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "12892639983717889509/2305843009213693952", + "floor_float": 5.591291311768166 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "520852310819792591985/9223372036854775808", + "floor_float": 56.470920693491436 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "126279497693052710319/9223372036854775808", + "floor_float": 13.6912505739186 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "363084797604595852639/9223372036854775808", + "floor_float": 39.36573263593625 + }, + "r=[253/512,127/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1403998620536860463787/18446744073709551616", + "floor_float": 76.11091772763578 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "612312472657519331577/18446744073709551616", + "floor_float": 33.193525654762674 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "2133432451534082559/288230376151711744", + "floor_float": 7.4018307161738495 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1384838471089880624007/18446744073709551616", + "floor_float": 75.07224394485765 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "83647131108991776651/4611686018427387904", + "floor_float": 18.13808025410974 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "964160765608019826655/18446744073709551616", + "floor_float": 52.26725983487512 + }, + "r=[253/512,127/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1869024025804808931657/18446744073709551616", + "floor_float": 101.31999546025887 + }, + "r=[253/512,127/256],b=[7/8,1],k=[1,5/4]": { + "floor": "99735482314298879781/2305843009213693952", + "floor_float": 43.25337063962098 + }, + "r=[253/512,127/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "177563874612722297793/18446744073709551616", + "floor_float": 9.625756930502861 + }, + "r=[253/512,127/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "113042384279672509833/1152921504606846976", + "floor_float": 98.04863889516973 + }, + "r=[253/512,127/256],b=[7/8,1],k=[3/4,1]": { + "floor": "217749427977612241149/9223372036854775808", + "floor_float": 23.608440287080306 + }, + "r=[253/512,127/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "157219313833510626707/2305843009213693952", + "floor_float": 68.18300864598902 + }, + "r=[253/512,127/256],b=[7/8,1],k=[7/4,2]": { + "floor": "611046015219002215283/4611686018427387904", + "floor_float": 132.49948343781057 + }, + "r=[255/512,1/2],b=[0,1/8],k=[1,5/4]": { + "floor": "2257599704285282019/144115188075855872", + "floor_float": 15.665244825527905 + }, + "r=[255/512,1/2],b=[0,1/8],k=[1/2,3/4]": { + "floor": "64645771091048139547/18446744073709551616", + "floor_float": 3.5044542729457504 + }, + "r=[255/512,1/2],b=[0,1/8],k=[3/2,7/4]": { + "floor": "649207718954618228151/18446744073709551616", + "floor_float": 35.19362096424779 + }, + "r=[255/512,1/2],b=[0,1/8],k=[3/4,1]": { + "floor": "9891789646680951795/1152921504606846976", + "floor_float": 8.579759859760886 + }, + "r=[255/512,1/2],b=[0,1/8],k=[5/4,3/2]": { + "floor": "226815360743031482423/9223372036854775808", + "floor_float": 24.591370687067812 + }, + "r=[255/512,1/2],b=[0,1/8],k=[7/4,2]": { + "floor": "872745528216629264473/18446744073709551616", + "floor_float": 47.31162988597393 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[1,5/4]": { + "floor": "527958767314515113139/18446744073709551616", + "floor_float": 28.620702125258312 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "117718912803730934793/18446744073709551616", + "floor_float": 6.381555050221837 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1192088337884983953451/18446744073709551616", + "floor_float": 64.62323828647668 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[3/4,1]": { + "floor": "144308315353691828747/9223372036854775808", + "floor_float": 15.645938901419596 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "830745653943572647101/18446744073709551616", + "floor_float": 45.034812139425625 + }, + "r=[255/512,1/2],b=[1/2,5/8],k=[7/4,2]": { + "floor": "803578585376398836553/9223372036854775808", + "floor_float": 87.12416480279201 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[1,5/4]": { + "floor": "197159592025030592789/9223372036854775808", + "floor_float": 21.37608579998939 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "88076723428905592505/18446744073709551616", + "floor_float": 4.774648744351219 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "444076940917054818929/9223372036854775808", + "floor_float": 48.146918409298785 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[3/4,1]": { + "floor": "215783637430849235397/18446744073709551616", + "floor_float": 11.697654424467558 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "309875625828093334879/9223372036854775808", + "floor_float": 33.59678267231241 + }, + "r=[255/512,1/2],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1195707152328812818159/18446744073709551616", + "floor_float": 64.81941461056775 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[1,5/4]": { + "floor": "42293712539160804311/2305843009213693952", + "floor_float": 18.341974006974226 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "37820261437099254251/9223372036854775808", + "floor_float": 4.100480961407276 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "380560088958256886631/9223372036854775808", + "floor_float": 41.26040752098189 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[3/4,1]": { + "floor": "92617763488815597549/9223372036854775808", + "floor_float": 10.04163803853225 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "531470876660615126067/18446744073709551616", + "floor_float": 28.811093954410726 + }, + "r=[255/512,1/2],b=[1/8,1/4],k=[7/4,2]": { + "floor": "63994960795251556173/1152921504606846976", + "floor_float": 55.50678041786914 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[1,5/4]": { + "floor": "347089296028081685807/9223372036854775808", + "floor_float": 37.631496880011056 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "154468318720800352913/18446744073709551616", + "floor_float": 8.373744336863753 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1571194117128658439767/18446744073709551616", + "floor_float": 85.17460375936678 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[3/4,1]": { + "floor": "379051927535761020117/18446744073709551616", + "floor_float": 20.548446165954505 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1093555700024134250241/18446744073709551616", + "floor_float": 59.281773285003645 + }, + "r=[255/512,1/2],b=[3/4,7/8],k=[7/4,2]": { + "floor": "530280467910553842433/4611686018427387904", + "floor_float": 114.98624706705046 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[1,5/4]": { + "floor": "457282439968737136571/18446744073709551616", + "floor_float": 24.789330742678853 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "51027519759920525621/9223372036854775808", + "floor_float": 5.532414778025284 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1031287635549439024847/18446744073709551616", + "floor_float": 55.906214746007045 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[3/4,1]": { + "floor": "125064106159016831509/9223372036854775808", + "floor_float": 13.559477559756381 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "359570763472916842913/9223372036854775808", + "floor_float": 38.98474029196079 + }, + "r=[255/512,1/2],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1389381170813453081293/18446744073709551616", + "floor_float": 75.31850419031998 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[1,5/4]": { + "floor": "606734404794651895047/18446744073709551616", + "floor_float": 32.89113799000305 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "16893228419711279677/2305843009213693952", + "floor_float": 7.3262699811779335 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1371628958945158334201/18446744073709551616", + "floor_float": 74.35615485661857 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[3/4,1]": { + "floor": "331494097979957056895/18446744073709551616", + "floor_float": 17.970331059799605 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "477620054201863293453/9223372036854775808", + "floor_float": 51.78367003883046 + }, + "r=[255/512,1/2],b=[5/8,3/4],k=[7/4,2]": { + "floor": "925248488051550398017/9223372036854775808", + "floor_float": 100.31564208344193 + }, + "r=[255/512,1/2],b=[7/8,1],k=[1,5/4]": { + "floor": "395459116799705521201/9223372036854775808", + "floor_float": 42.87576335634396 + }, + "r=[255/512,1/2],b=[7/8,1],k=[1/2,3/4]": { + "floor": "5493872228616726463/576460752303423488", + "floor_float": 9.530349128998456 + }, + "r=[255/512,1/2],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1792238790166462267187/18446744073709551616", + "floor_float": 97.15745949556353 + }, + "r=[255/512,1/2],b=[7/8,1],k=[3/4,1]": { + "floor": "53952589168887537187/2305843009213693952", + "floor_float": 23.398205755250306 + }, + "r=[255/512,1/2],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1246638518476094594587/18446744073709551616", + "floor_float": 67.58040950179462 + }, + "r=[255/512,1/2],b=[7/8,1],k=[7/4,2]": { + "floor": "2421147401874385655949/18446744073709551616", + "floor_float": 131.25066365099218 + }, + "r=[27/128,109/512],b=[0,1/8],k=[1,5/4]": { + "floor": "486903632158434439201/18446744073709551616", + "floor_float": 26.395098788862878 + }, + "r=[27/128,109/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "29249446339524267119/4611686018427387904", + "floor_float": 6.342462653062079 + }, + "r=[27/128,109/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1104400143706843356499/18446744073709551616", + "floor_float": 59.869651755013145 + }, + "r=[27/128,109/512],b=[0,1/8],k=[3/4,1]": { + "floor": "135334820475105198231/9223372036854775808", + "floor_float": 14.673030637204478 + }, + "r=[27/128,109/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "382518082700649655191/9223372036854775808", + "floor_float": 41.47269362790342 + }, + "r=[27/128,109/512],b=[0,1/8],k=[7/4,2]": { + "floor": "376082244311104728141/4611686018427387904", + "floor_float": 81.5498372630648 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "425560024671622240739/9223372036854775808", + "floor_float": 46.13931032719577 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "102350043594252372573/9223372036854775808", + "floor_float": 11.09681396188745 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1930970340174274759431/18446744073709551616", + "floor_float": 104.67811189110111 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "236607069712206410581/9223372036854775808", + "floor_float": 25.652989900740337 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1337378578056959278145/18446744073709551616", + "floor_float": 72.4994379882465 + }, + "r=[27/128,109/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1315437359599104049435/9223372036854775808", + "floor_float": 142.62000430459443 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "649301567076768607421/18446744073709551616", + "floor_float": 35.19870848114375 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "4878048818819451455/576460752303423488", + "floor_float": 8.462065802967038 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "11507185817764440131/144115188075855872", + "floor_float": 79.84714152201339 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "360977104222590220321/18446744073709551616", + "floor_float": 19.568608030782933 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "510113275340294388985/9223372036854775808", + "floor_float": 55.30659213376435 + }, + "r=[27/128,109/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1003277205782516620025/9223372036854775808", + "floor_float": 108.7755326114591 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "17608067433807937781/576460752303423488", + "floor_float": 30.545127944009323 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "67716479058945402845/9223372036854775808", + "floor_float": 7.341835370877777 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "639046815700356903931/9223372036854775808", + "floor_float": 69.28559459022708 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "313244024440451061305/18446744073709551616", + "floor_float": 16.980992590821973 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "885322821020557397775/18446744073709551616", + "floor_float": 47.993446295074186 + }, + "r=[27/128,109/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "870516011181776150247/9223372036854775808", + "floor_float": 94.38153505066974 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "548828174650302058413/9223372036854775808", + "floor_float": 59.504069927711136 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "264027763572354115215/18446744073709551616", + "floor_float": 14.312973743081773 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1245305903523654669255/9223372036854775808", + "floor_float": 135.01633660093705 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "152579823856169652111/4611686018427387904", + "floor_float": 33.085475300462946 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1724836068107794471981/18446744073709551616", + "floor_float": 93.50355061119132 + }, + "r=[27/128,109/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1696871297585661677343/9223372036854775808", + "floor_float": 183.97515472706712 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "744915818658390145391/18446744073709551616", + "floor_float": 40.38196744541223 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "179123384033941380623/18446744073709551616", + "floor_float": 9.710298105627729 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "422479199028623951063/4611686018427387904", + "floor_float": 91.61057308335398 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "414151569219878661085/18446744073709551616", + "floor_float": 22.45120155432366 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1170481158196170416169/18446744073709551616", + "floor_float": 63.45191072848187 + }, + "r=[27/128,109/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1151155115759302241315/9223372036854775808", + "floor_float": 124.80848773740378 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "121062577869579666065/2305843009213693952", + "floor_float": 52.50252397315753 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "116484173498290564113/9223372036854775808", + "floor_float": 12.629239396702506 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2197429592551018487693/18446744073709551616", + "floor_float": 119.12289690638755 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "33655636139307077197/1152921504606846976", + "floor_float": 29.19161105489471 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "380464765223518672471/4611686018427387904", + "floor_float": 82.50014500190527 + }, + "r=[27/128,109/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "748522385230639071077/4611686018427387904", + "floor_float": 162.3099192442181 + }, + "r=[27/128,109/512],b=[7/8,1],k=[1,5/4]": { + "floor": "309838348607858032531/4611686018427387904", + "floor_float": 67.18548213599215 + }, + "r=[27/128,109/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "74517786229523413691/4611686018427387904", + "floor_float": 16.15846914377194 + }, + "r=[27/128,109/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2812308774824964782865/18446744073709551616", + "floor_float": 152.4555641682637 + }, + "r=[27/128,109/512],b=[7/8,1],k=[3/4,1]": { + "floor": "86138944399871279115/2305843009213693952", + "floor_float": 37.35681226157941 + }, + "r=[27/128,109/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "243442374737719332069/2305843009213693952", + "floor_float": 105.57630062626623 + }, + "r=[27/128,109/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3832308460660333485975/18446744073709551616", + "floor_float": 207.74985793412566 + }, + "r=[27/64,217/512],b=[0,1/8],k=[1,5/4]": { + "floor": "86632219274498776879/4611686018427387904", + "floor_float": 18.78536806893043 + }, + "r=[27/64,217/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "78980767145091388043/18446744073709551616", + "floor_float": 4.2815559661639915 + }, + "r=[27/64,217/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "392656529959486124973/9223372036854775808", + "floor_float": 42.57190628226944 + }, + "r=[27/64,217/512],b=[0,1/8],k=[3/4,1]": { + "floor": "47560933990802618699/4611686018427387904", + "floor_float": 10.313133591653575 + }, + "r=[27/64,217/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "68201993596960458443/2305843009213693952", + "floor_float": 29.577899850266796 + }, + "r=[27/64,217/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1063396333645296228337/18446744073709551616", + "floor_float": 57.64683075756752 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "623263173192786124107/18446744073709551616", + "floor_float": 33.787164320291396 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "70956686863567762433/9223372036854775808", + "floor_float": 7.6931394049853825 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1416228076636319277933/18446744073709551616", + "floor_float": 76.77387787120324 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "341815013086964843043/18446744073709551616", + "floor_float": 18.529828988852422 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "982541272398964083195/18446744073709551616", + "floor_float": 53.26366910458143 + }, + "r=[27/64,217/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1920823973373236380603/18446744073709551616", + "floor_float": 104.12807624467509 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "234513054899098051709/9223372036854775808", + "floor_float": 25.42595635978145 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "53430894057698684643/9223372036854775808", + "floor_float": 5.792989141519974 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "266088994287651185631/4611686018427387904", + "floor_float": 57.69885313623088 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "32170878996429846159/2305843009213693952", + "floor_float": 13.951894759479009 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "738956142006875139961/18446744073709551616", + "floor_float": 40.05889272676805 + }, + "r=[27/64,217/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "180303773558859159407/2305843009213693952", + "floor_float": 78.19429719993983 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "202024327877609731505/9223372036854775808", + "floor_float": 21.90352151798283 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "92077428714925161375/18446744073709551616", + "floor_float": 4.9915274124800515 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "916292329499438253739/18446744073709551616", + "floor_float": 49.67230671375473 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "27722535737192862435/2305843009213693952", + "floor_float": 12.022733389228614 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "636392062826301074571/18446744073709551616", + "floor_float": 34.498882853440364 + }, + "r=[27/64,217/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "620633873677687261653/9223372036854775808", + "floor_float": 67.28925941594427 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "813796625619608092609/18446744073709551616", + "floor_float": 44.11600347290759 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "185164478436538213245/18446744073709551616", + "floor_float": 10.037786489402004 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1851704724753895021581/18446744073709551616", + "floor_float": 100.3811142689923 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "446090328666903258183/18446744073709551616", + "floor_float": 24.18260517327146 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "641894009659563982003/9223372036854775808", + "floor_float": 69.59428797783306 + }, + "r=[27/64,217/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2513367084758440391719/18446744073709551616", + "floor_float": 136.249902677433 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "270923265745075114907/9223372036854775808", + "floor_float": 29.373559329767808 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "15427312531522665803/2305843009213693952", + "floor_float": 6.690530304915889 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "615204436019042318617/9223372036854775808", + "floor_float": 66.70059860545652 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "148621842176951021457/9223372036854775808", + "floor_float": 16.113612416704807 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "853935569328277673471/18446744073709551616", + "floor_float": 46.29193997141824 + }, + "r=[27/64,217/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1668146798390584267113/18446744073709551616", + "floor_float": 90.43041914199051 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "713720298818568750487/18446744073709551616", + "floor_float": 38.69085492630478 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "20306986170729362499/2305843009213693952", + "floor_float": 8.806751409175147 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1622900128664889076711/18446744073709551616", + "floor_float": 87.97759226127387 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "391329451406151754109/18446744073709551616", + "floor_float": 21.21401206860552 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1125533445862250551583/18446744073709551616", + "floor_float": 61.015290360447395 + }, + "r=[27/64,217/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "137623236861377116139/1152921504606846976", + "floor_float": 119.36912991167378 + }, + "r=[27/64,217/512],b=[7/8,1],k=[1,5/4]": { + "floor": "28880170132712506507/576460752303423488", + "floor_float": 50.0991091194206 + }, + "r=[27/64,217/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "6568597254739903389/576460752303423488", + "floor_float": 11.394699862034118 + }, + "r=[27/64,217/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2104293708335910482651/18446744073709551616", + "floor_float": 114.07399050626863 + }, + "r=[27/64,217/512],b=[7/8,1],k=[3/4,1]": { + "floor": "126614430288384409049/4611686018427387904", + "floor_float": 27.455128077336166 + }, + "r=[27/64,217/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "729201547777320930215/9223372036854775808", + "floor_float": 79.06019022799637 + }, + "r=[27/64,217/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1428633781887655226259/9223372036854775808", + "floor_float": 154.8927850008778 + }, + "r=[29/128,117/512],b=[0,1/8],k=[1,5/4]": { + "floor": "119513243428171739135/4611686018427387904", + "floor_float": 25.915303633122548 + }, + "r=[29/128,117/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "114446375081455417231/18446744073709551616", + "floor_float": 6.204150424820243 + }, + "r=[29/128,117/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1085003053976805823893/18446744073709551616", + "floor_float": 58.818133413752996 + }, + "r=[29/128,117/512],b=[0,1/8],k=[3/4,1]": { + "floor": "132732224532334917651/9223372036854775808", + "floor_float": 14.390856619679129 + }, + "r=[29/128,117/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "1467725309867409143/36028797018963968", + "floor_float": 40.73756082099725 + }, + "r=[29/128,117/512],b=[0,1/8],k=[7/4,2]": { + "floor": "369471240157409288597/4611686018427387904", + "floor_float": 80.11630424991534 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "209219342680002071131/4611686018427387904", + "floor_float": 45.36721317192949 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "100264833755160276223/9223372036854775808", + "floor_float": 10.870735058124271 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1899952784123842047771/18446744073709551616", + "floor_float": 102.9966468083476 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "464792246143998575889/18446744073709551616", + "floor_float": 25.196438151187028 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "2569610900993131799/36028797018963968", + "floor_float": 71.32102966525922 + }, + "r=[29/128,117/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1294347665142213194131/9223372036854775808", + "floor_float": 140.33345504987278 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "159496609248622285301/4611686018427387904", + "floor_float": 34.585314050285575 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "152807632014007226185/18446744073709551616", + "floor_float": 8.283718330097608 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1448198915003956058243/18446744073709551616", + "floor_float": 78.50702049192198 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "354304061798616789493/18446744073709551616", + "floor_float": 19.206861676124937 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1002922444443109705795/18446744073709551616", + "floor_float": 54.36853465498461 + }, + "r=[29/128,117/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1972913868877477027195/18446744073709551616", + "floor_float": 106.9518751381871 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "553430190852998114863/18446744073709551616", + "floor_float": 30.001510762094394 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "132527937133521321801/18446744073709551616", + "floor_float": 7.184353867759309 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "314036836883452865209/4611686018427387904", + "floor_float": 68.09588415790311 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "153669326342863951805/9223372036854775808", + "floor_float": 16.660861746531705 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "217493081185383836749/4611686018427387904", + "floor_float": 47.16129422435187 + }, + "r=[29/128,117/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "427783993284602093017/4611686018427387904", + "floor_float": 92.76086697473801 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1079974118853081144257/18446744073709551616", + "floor_float": 58.54551429443145 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "129418796127040244481/9223372036854775808", + "floor_float": 14.031613992139562 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2452226838756165453355/18446744073709551616", + "floor_float": 132.93548330033477 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "599836291863679882243/18446744073709551616", + "floor_float": 32.51719053871254 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1697897891022998949335/18446744073709551616", + "floor_float": 92.04322910528458 + }, + "r=[29/128,117/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "835400300167648835167/4611686018427387904", + "floor_float": 181.14856406736146 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "366097442885098242895/9223372036854775808", + "floor_float": 39.69236429174114 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "87706032110588694475/9223372036854775808", + "floor_float": 9.509107055438367 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1662174489411191400897/18446744073709551616", + "floor_float": 90.10665962347989 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "406641434222785833725/18446744073709551616", + "floor_float": 22.04407632034829 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1151048192085564115629/18446744073709551616", + "floor_float": 62.39844752473404 + }, + "r=[29/128,117/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2264570749899476450419/18446744073709551616", + "floor_float": 122.76262633940702 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "476302748845647253159/9223372036854775808", + "floor_float": 51.640847505926835 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "228297066210681880997/18446744073709551616", + "floor_float": 12.376008757884417 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1081434804012204527725/9223372036854775808", + "floor_float": 117.24939639114679 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "66134816817657944773/2305843009213693952", + "floor_float": 28.681404828254248 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "748810025638483904311/9223372036854775808", + "floor_float": 81.18614565761705 + }, + "r=[29/128,117/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1473556069254088705299/9223372036854775808", + "floor_float": 159.76326915644833 + }, + "r=[29/128,117/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1219752981207477318037/18446744073709551616", + "floor_float": 66.12294160604088 + }, + "r=[29/128,117/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "73072972492380661809/4611686018427387904", + "floor_float": 15.845175105242523 + }, + "r=[29/128,117/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2769830254724328718865/18446744073709551616", + "floor_float": 150.15279897940977 + }, + "r=[29/128,117/512],b=[7/8,1],k=[3/4,1]": { + "floor": "42342411676461650569/1152921504606846976", + "floor_float": 36.72618778231625 + }, + "r=[29/128,117/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "479426786079375638671/4611686018427387904", + "floor_float": 103.95911260300045 + }, + "r=[29/128,117/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3774644294867465251861/18446744073709551616", + "floor_float": 204.62387724276604 + }, + "r=[29/64,233/512],b=[0,1/8],k=[1,5/4]": { + "floor": "323072849693608367315/18446744073709551616", + "floor_float": 17.513814275444652 + }, + "r=[29/64,233/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "36532261321822767551/9223372036854775808", + "floor_float": 3.960835709092841 + }, + "r=[29/64,233/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "365060492971875590325/9223372036854775808", + "floor_float": 39.57993795687367 + }, + "r=[29/64,233/512],b=[0,1/8],k=[3/4,1]": { + "floor": "177151860062632755085/18446744073709551616", + "floor_float": 9.603421576987724 + }, + "r=[29/64,233/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "508248920612788499703/18446744073709551616", + "floor_float": 27.5522291945899 + }, + "r=[29/64,233/512],b=[0,1/8],k=[7/4,2]": { + "floor": "986205822127555669211/18446744073709551616", + "floor_float": 53.46232474342744 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "146145271772171013457/4611686018427387904", + "floor_float": 31.690204230774455 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "131967620487274866061/18446744073709551616", + "floor_float": 7.153979041502299 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1325769021681039413133/18446744073709551616", + "floor_float": 71.87008267602823 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "160061439232469240461/9223372036854775808", + "floor_float": 17.35389601469997 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "921140705617561338979/18446744073709551616", + "floor_float": 49.93513770976953 + }, + "r=[29/64,233/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1794460841045478360853/18446744073709551616", + "floor_float": 97.27791711508365 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "438643615845747242739/18446744073709551616", + "floor_float": 23.77891806234281 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "49562154973562032001/9223372036854775808", + "floor_float": 5.37353960953992 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "3879229686338063333/72057594037927936", + "floor_float": 53.835126444774275 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "240392968016623611599/18446744073709551616", + "floor_float": 13.031728908693085 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "690645523757053018553/18446744073709551616", + "floor_float": 37.439968863739296 + }, + "r=[29/64,233/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "671406584850956981643/9223372036854775808", + "floor_float": 72.79404779164807 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "377302768515830309971/18446744073709551616", + "floor_float": 20.45362406548293 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "85300192497988372059/18446744073709551616", + "floor_float": 4.624132700987536 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "853460586555151676349/18446744073709551616", + "floor_float": 46.266191103692414 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "206835573264967519925/18446744073709551616", + "floor_float": 11.212578894058126 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "593805025845090654053/18446744073709551616", + "floor_float": 32.19023495270292 + }, + "r=[29/64,233/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "72085621641187938401/1152921504606846976", + "floor_float": 62.52431007067525 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "95670594222946903375/2305843009213693952", + "floor_float": 41.490506439799276 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "172566874706466634337/18446744073709551616", + "floor_float": 9.354869022789249 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1738722597854695819155/18446744073709551616", + "floor_float": 94.25634089718507 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "104700455133536818709/4611686018427387904", + "floor_float": 22.70329218320034 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "603487486900011902705/9223372036854775808", + "floor_float": 65.43024443648103 + }, + "r=[29/64,233/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2355662872503071419387/18446744073709551616", + "floor_float": 127.7007402005637 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "253748611726698204609/9223372036854775808", + "floor_float": 27.511479609926695 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "57313541545387960353/9223372036854775808", + "floor_float": 6.213946625634784 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "574984728798461010927/9223372036854775808", + "floor_float": 62.339969210928004 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "139007097380358945049/9223372036854775808", + "floor_float": 15.071179697068924 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "99918541260124882547/2305843009213693952", + "floor_float": 43.33275980232396 + }, + "r=[29/64,233/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1555698742843311308021/18446744073709551616", + "floor_float": 84.33459783618432 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "167591543592585667577/4611686018427387904", + "floor_float": 36.3406231306561 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "151239394905169473871/18446744073709551616", + "floor_float": 8.198704026078893 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "380399598627173443645/4611686018427387904", + "floor_float": 82.48601424883907 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "366952266156444762839/18446744073709551616", + "floor_float": 19.892522208264822 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1056711434658916859281/18446744073709551616", + "floor_float": 57.28444165737359 + }, + "r=[29/64,233/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2060519868617931931197/18446744073709551616", + "floor_float": 111.7010059002554 + }, + "r=[29/64,233/512],b=[7/8,1],k=[1,5/4]": { + "floor": "108779493603022895881/2305843009213693952", + "floor_float": 47.17558531450818 + }, + "r=[29/64,233/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "196096686279392134825/18446744073709551616", + "floor_float": 10.630422664066268 + }, + "r=[29/64,233/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1978705887979420409489/18446744073709551616", + "floor_float": 107.26586112285734 + }, + "r=[29/64,233/512],b=[7/8,1],k=[3/4,1]": { + "floor": "476017199412480998151/18446744073709551616", + "floor_float": 25.804944087173872 + }, + "r=[29/64,233/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "686489078985305879001/9223372036854775808", + "floor_float": 74.42929508234417 + }, + "r=[29/64,233/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2682085536870328046027/18446744073709551616", + "floor_float": 145.396148293338 + }, + "r=[3/16,97/512],b=[0,1/8],k=[1,5/4]": { + "floor": "499607957629734643061/18446744073709551616", + "floor_float": 27.083801652660206 + }, + "r=[3/16,97/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "120697373089073333517/18446744073709551616", + "floor_float": 6.543017705823338 + }, + "r=[3/16,97/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1132013417233917980345/18446744073709551616", + "floor_float": 61.36657031238768 + }, + "r=[3/16,97/512],b=[0,1/8],k=[3/4,1]": { + "floor": "139090407276496419805/9223372036854775808", + "floor_float": 15.080212174107103 + }, + "r=[3/16,97/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "392206240675959243381/9223372036854775808", + "floor_float": 42.523085820324766 + }, + "r=[3/16,97/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1541837300588083572849/18446744073709551616", + "floor_float": 83.5831675458393 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "871549194167863518361/18446744073709551616", + "floor_float": 47.246776487239416 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "26344120169672626841/2305843009213693952", + "floor_float": 11.424940928071303 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1975122045628075930749/18446744073709551616", + "floor_float": 107.07158063969868 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "30334574846095112933/1152921504606846976", + "floor_float": 26.311049559648367 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1368436322389811846409/18446744073709551616", + "floor_float": 74.1830816821554 + }, + "r=[3/16,97/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2690720003388728702393/18446744073709551616", + "floor_float": 145.86422366121317 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "665523255238734535505/18446744073709551616", + "floor_float": 36.07808795847304 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "80436618562827240103/9223372036854775808", + "floor_float": 8.720955659320515 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1508083072307532512933/18446744073709551616", + "floor_float": 81.75334716422203 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "370594391849011048217/18446744073709551616", + "floor_float": 20.089962237682105 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1044927225929385642749/18446744073709551616", + "floor_float": 56.64561842209457 + }, + "r=[3/16,97/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2054271897674353104229/18446744073709551616", + "floor_float": 111.36230271672268 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "144460639101488498461/4611686018427387904", + "floor_float": 31.324907750495647 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "69823472537147155649/9223372036854775808", + "floor_float": 7.57027606152569 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "10229013028865071125/144115188075855872", + "floor_float": 70.97803614897946 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "40220019414997875055/2305843009213693952", + "floor_float": 17.442652970859946 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "907243470982056673575/18446744073709551616", + "floor_float": 49.181767110601776 + }, + "r=[3/16,97/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "891704353947960924437/9223372036854775808", + "floor_float": 96.67877977651624 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1123009561287149131709/18446744073709551616", + "floor_float": 60.878470303476014 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "271560664269394038023/18446744073709551616", + "floor_float": 14.721333108124186 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "39769060630614485445/288230376151711744", + "floor_float": 137.9766461869439 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "78178071445112502591/2305843009213693952", + "floor_float": 33.90433396060718 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "220412799646353513405/2305843009213693952", + "floor_float": 95.58881448807549 + }, + "r=[3/16,97/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3467687193295118061377/18446744073709551616", + "floor_float": 187.98369942353642 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "190788860477359619831/4611686018427387904", + "floor_float": 41.37073940311742 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "92254379017120530881/9223372036854775808", + "floor_float": 10.002239815166321 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1729402687165545147175/18446744073709551616", + "floor_float": 93.75110752635766 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "424973757817507602351/18446744073709551616", + "floor_float": 23.03787357375352 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "599116928834104957315/9223372036854775808", + "floor_float": 64.956387581478 + }, + "r=[3/16,97/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1177932680731394925577/9223372036854775808", + "floor_float": 127.71171714906525 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "123912489570709608765/2305843009213693952", + "floor_float": 53.738476156260305 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "119863410880919161543/9223372036854775808", + "floor_float": 12.99561704786152 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "35103366703234497221/288230376151711744", + "floor_float": 121.78926861184692 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "552055421730107664441/18446744073709551616", + "floor_float": 29.926984378609205 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "194560169469781261633/2305843009213693952", + "floor_float": 84.3770233673139 + }, + "r=[3/16,97/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1530361175599905043335/9223372036854775808", + "floor_float": 165.92209112728875 + }, + "r=[3/16,97/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1267447625361262264229/18446744073709551616", + "floor_float": 68.70847344641372 + }, + "r=[3/16,97/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "38306887894917491073/2305843009213693952", + "floor_float": 16.612964430731285 + }, + "r=[3/16,97/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1436363046983942758649/9223372036854775808", + "floor_float": 155.73079360178895 + }, + "r=[3/16,97/512],b=[7/8,1],k=[3/4,1]": { + "floor": "176452832659952945265/4611686018427387904", + "floor_float": 38.262108902228434 + }, + "r=[3/16,97/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1990124611596154680413/18446744073709551616", + "floor_float": 107.88487137047107 + }, + "r=[3/16,97/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3914076554018260362509/18446744073709551616", + "floor_float": 212.18251515705873 + }, + "r=[3/8,193/512],b=[0,1/8],k=[1,5/4]": { + "floor": "5951434518079926381/288230376151711744", + "floor_float": 20.648186348503927 + }, + "r=[3/8,193/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "87849480220333197889/18446744073709551616", + "floor_float": 4.76232986533038 + }, + "r=[3/8,193/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "216334187312595575089/4611686018427387904", + "floor_float": 46.90999917344043 + }, + "r=[3/8,193/512],b=[0,1/8],k=[3/4,1]": { + "floor": "104783386020515765899/9223372036854775808", + "floor_float": 11.360637476383042 + }, + "r=[3/8,193/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "600069863209929928611/18446744073709551616", + "floor_float": 32.529852466764275 + }, + "r=[3/8,193/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1174951521104671304567/18446744073709551616", + "floor_float": 63.69424958734163 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "679514301970233853305/18446744073709551616", + "floor_float": 36.83654412155493 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "78362185179400603569/9223372036854775808", + "floor_float": 8.496045141221753 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1546521128035074712543/18446744073709551616", + "floor_float": 83.83707834051805 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "186836792815707936029/9223372036854775808", + "floor_float": 20.256885667101464 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "535700647542283573637/9223372036854775808", + "floor_float": 58.080780586723534 + }, + "r=[3/8,193/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2102179760145912496627/18446744073709551616", + "floor_float": 113.95939314526275 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "513390203789058856127/18446744073709551616", + "floor_float": 27.830938714043672 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "118410462129854051991/18446744073709551616", + "floor_float": 6.419044014310016 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1167318629247286472239/18446744073709551616", + "floor_float": 63.28046969063546 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "282378079056302233851/18446744073709551616", + "floor_float": 15.30774633875632 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "809080470740930175341/18446744073709551616", + "floor_float": 43.86034020464555 + }, + "r=[3/8,193/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1585900919761865342769/18446744073709551616", + "floor_float": 85.9718611276287 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "110795795387680150697/4611686018427387904", + "floor_float": 24.02500841231645 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "102220210360279417199/18446744073709551616", + "floor_float": 5.541368707227011 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "15738135503968802819/288230376151711744", + "floor_float": 54.60262625367752 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "121901356319093252487/9223372036854775808", + "floor_float": 13.216571535009049 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "349154799267181585261/9223372036854775808", + "floor_float": 37.855439189921846 + }, + "r=[3/8,193/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "684014937399744337289/9223372036854775808", + "floor_float": 74.16104811413392 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "884126813615158248995/18446744073709551616", + "floor_float": 47.92861060371206 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "203873169234850194821/18446744073709551616", + "floor_float": 11.051986649796474 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2014008463297987146945/18446744073709551616", + "floor_float": 109.1796175655935 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "243029950959595251927/9223372036854775808", + "floor_float": 26.349360080943878 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1394618004646537767295/18446744073709551616", + "floor_float": 75.60239352125878 + }, + "r=[3/8,193/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1369511686331959877111/9223372036854775808", + "floor_float": 148.48275455653976 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "295953068219557514339/9223372036854775808", + "floor_float": 32.0872959517395 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "136525837406908413509/18446744073709551616", + "floor_float": 7.401080475848643 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "168309402074548346367/2305843009213693952", + "floor_float": 72.99256775158463 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "81382325031820409203/4611686018427387904", + "floor_float": 17.646978720284228 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "933036938430922204549/18446744073709551616", + "floor_float": 50.580033782801486 + }, + "r=[3/8,193/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1829774893488622237121/18446744073709551616", + "floor_float": 99.19229573398984 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "194183600967731314211/4611686018427387904", + "floor_float": 42.10685640605452 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "179132359021248681079/18446744073709551616", + "floor_float": 9.710784640664558 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "884303260768969438701/9223372036854775808", + "floor_float": 95.87635164617322 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "427079219711345030511/18446744073709551616", + "floor_float": 23.152010891722718 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "612490854832354553865/9223372036854775808", + "floor_float": 66.40639154367425 + }, + "r=[3/8,193/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "601166024623259523331/4611686018427387904", + "floor_float": 130.35710198420244 + }, + "r=[3/8,193/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1002384819460710863837/18446744073709551616", + "floor_float": 54.33938994628964 + }, + "r=[3/8,193/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "57774705301059379181/4611686018427387904", + "floor_float": 12.527892200423674 + }, + "r=[3/8,193/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2284449942276039049359/18446744073709551616", + "floor_float": 123.84027951750333 + }, + "r=[3/8,193/512],b=[7/8,1],k=[3/4,1]": { + "floor": "137748537879073102913/4611686018427387904", + "floor_float": 29.86945280503857 + }, + "r=[3/8,193/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1581470528509941317209/18446744073709551616", + "floor_float": 85.73168913661387 + }, + "r=[3/8,193/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1553809554952868764141/9223372036854775808", + "floor_float": 168.46436951086352 + }, + "r=[31/128,125/512],b=[0,1/8],k=[1,5/4]": { + "floor": "468907805307870001815/18446744073709551616", + "floor_float": 25.41954306051013 + }, + "r=[31/128,125/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "55916250429049199733/9223372036854775808", + "floor_float": 6.062452019241866 + }, + "r=[31/128,125/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1064829368593024311125/18446744073709551616", + "floor_float": 57.724515737746245 + }, + "r=[31/128,125/512],b=[0,1/8],k=[3/4,1]": { + "floor": "65026635927396327715/4611686018427387904", + "floor_float": 14.10040398838141 + }, + "r=[31/128,125/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "737418281816828359929/18446744073709551616", + "floor_float": 39.975525158816666 + }, + "r=[31/128,125/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1450325590041002765551/18446744073709551616", + "floor_float": 78.62230777668881 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "822143725776864861365/18446744073709551616", + "floor_float": 44.56850067913018 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "98128162940423069169/9223372036854775808", + "floor_float": 10.639076744201825 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1867685434434456941519/18446744073709551616", + "floor_float": 101.24743027666857 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "456114213841494461995/18446744073709551616", + "floor_float": 24.726001077423312 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1293083615318491528061/18446744073709551616", + "floor_float": 70.09820324668594 + }, + "r=[31/128,125/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2544709848214873060087/18446744073709551616", + "floor_float": 137.9489972889912 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "78286181567281031151/2305843009213693952", + "floor_float": 33.9512192523363 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "74719315329539058023/9223372036854775808", + "floor_float": 8.10108440069157 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "711249915813683166393/9223372036854775808", + "floor_float": 77.11387039053274 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "347433591677394210443/18446744073709551616", + "floor_float": 18.834412744553624 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "246245137530310142171/4611686018427387904", + "floor_float": 53.39590261487081 + }, + "r=[31/128,125/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "242227793118369362121/2305843009213693952", + "floor_float": 105.04955981412215 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "271533327100176546881/9223372036854775808", + "floor_float": 29.43970231442285 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "32388573631642409955/4611686018427387904", + "floor_float": 7.023152379026685 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1233336931407192673079/18446744073709551616", + "floor_float": 66.85932902191419 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "18828744734077668419/1152921504606846976", + "floor_float": 16.33133275668961 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "854059865433890076991/18446744073709551616", + "floor_float": 46.29867807680506 + }, + "r=[31/128,125/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "26249560768858348309/288230376151711744", + "floor_float": 91.07145859963677 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1061681185755475297901/18446744073709551616", + "floor_float": 57.55385240415364 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "253518426389077005305/18446744073709551616", + "floor_float": 13.743261432807186 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2412284105522108575151/18446744073709551616", + "floor_float": 130.7701833929661 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "147257760406821229607/4611686018427387904", + "floor_float": 31.931436749685094 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "417484683426117154557/4611686018427387904", + "floor_float": 90.52756015000385 + }, + "r=[31/128,125/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "821805792166146841591/4611686018427387904", + "floor_float": 178.20072504554147 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "359520639238168009773/9223372036854775808", + "floor_float": 38.9793058115399 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "85805067783800615311/9223372036854775808", + "floor_float": 9.30300409014626 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "816661784643924894685/9223372036854775808", + "floor_float": 88.54264810968326 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "398905184928830501079/18446744073709551616", + "floor_float": 21.624693405778498 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "282722626314633079447/4611686018427387904", + "floor_float": 61.30569713222653 + }, + "r=[31/128,125/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "556304131729784690167/4611686018427387904", + "floor_float": 120.62922963681896 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "468080252451905787861/9223372036854775808", + "floor_float": 50.74936266059196 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "111754853269979379831/9223372036854775808", + "floor_float": 12.116485470111042 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "531726315454989468309/4611686018427387904", + "floor_float": 115.29976527680245 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "519379027538486706099/18446744073709551616", + "floor_float": 28.155593500031795 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1472464510428809311997/18446744073709551616", + "floor_float": 79.82246105573599 + }, + "r=[31/128,125/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2898119641027169674421/18446744073709551616", + "floor_float": 157.10738054622837 + }, + "r=[31/128,125/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1199471037248209946201/18446744073709551616", + "floor_float": 65.02345522089753 + }, + "r=[31/128,125/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "286368531885477129717/18446744073709551616", + "floor_float": 15.524069220085938 + }, + "r=[31/128,125/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1362813279617329413369/9223372036854775808", + "floor_float": 147.75651184532038 + }, + "r=[31/128,125/512],b=[7/8,1],k=[3/4,1]": { + "floor": "665480068476698707265/18446744073709551616", + "floor_float": 36.07574679941195 + }, + "r=[31/128,125/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "943368013854178552035/9223372036854775808", + "floor_float": 102.28016500740358 + }, + "r=[31/128,125/512],b=[7/8,1],k=[7/4,2]": { + "floor": "464312826814904285775/2305843009213693952", + "floor_float": 201.363590218242 + }, + "r=[31/64,249/512],b=[0,1/8],k=[1,5/4]": { + "floor": "299376064909561647983/18446744073709551616", + "floor_float": 16.229208998255405 + }, + "r=[31/64,249/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "8398863554088282265/2305843009213693952", + "floor_float": 3.642426444700736 + }, + "r=[31/64,249/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "673966604754788420129/18446744073709551616", + "floor_float": 36.535802852891045 + }, + "r=[31/64,249/512],b=[0,1/8],k=[3/4,1]": { + "floor": "41002250606059914827/4611686018427387904", + "floor_float": 8.89094583677705 + }, + "r=[31/64,249/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "470325519156404501573/18446744073709551616", + "floor_float": 25.496397482237324 + }, + "r=[31/64,249/512],b=[0,1/8],k=[7/4,2]": { + "floor": "907475153330056057713/18446744073709551616", + "floor_float": 49.19432663585315 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "545283376711260337555/18446744073709551616", + "floor_float": 29.559871082529007 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "122039905239010885059/18446744073709551616", + "floor_float": 6.615796519503035 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "308282983742521494571/4611686018427387904", + "floor_float": 66.84821614279105 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "298223853242437127379/18446744073709551616", + "floor_float": 16.16674747862243 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "858457722916712180149/18446744073709551616", + "floor_float": 46.53708640866293 + }, + "r=[31/64,249/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1664717501280242191491/18446744073709551616", + "floor_float": 90.24451657313395 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "407863492605553341809/18446744073709551616", + "floor_float": 22.11032423802332 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "178557606947921073/36028797018963968", + "floor_float": 4.95596916138877 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "920319241918521256073/18446744073709551616", + "floor_float": 49.890606073413664 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "223278917869787541679/18446744073709551616", + "floor_float": 12.103974391231809 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "320728536272130855139/9223372036854775808", + "floor_float": 34.77345758043402 + }, + "r=[31/64,249/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "620416632419026265663/9223372036854775808", + "floor_float": 67.26570607148489 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "175118766668840213321/9223372036854775808", + "floor_float": 18.98641472653387 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78562896323889821985/18446744073709551616", + "floor_float": 4.25890314355574 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "49337408983655885489/1152921504606846976", + "floor_float": 42.79338080390844 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "191808300991832991415/18446744073709551616", + "floor_float": 10.397948831804943 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "550538494173058203029/18446744073709551616", + "floor_float": 29.844751570966395 + }, + "r=[31/64,249/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "531799236717532860199/9223372036854775808", + "floor_float": 57.65778877752822 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "357996958485210784089/9223372036854775808", + "floor_float": 38.81410801328685 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "39990914996316630073/4611686018427387904", + "floor_float": 8.671647383737925 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "405674591123357852677/4611686018427387904", + "floor_float": 87.96665460362266 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "391190324708374417873/18446744073709551616", + "floor_float": 21.206469995206472 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "141047064044680734461/2305843009213693952", + "floor_float": 61.169413303977976 + }, + "r=[31/64,249/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1096658990856176286893/9223372036854775808", + "floor_float": 118.90000603620273 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "472635056264819432875/18446744073709551616", + "floor_float": 25.621597739756293 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "6616478125138871545/1152921504606846976", + "floor_float": 5.738879965982705 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1067691901721347013427/18446744073709551616", + "floor_float": 57.879693969573204 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "64658147460421952097/4611686018427387904", + "floor_float": 14.020500789095516 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "743717140675755630721/18446744073709551616", + "floor_float": 40.31698698176809 + }, + "r=[31/64,249/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "720224360479832596263/9223372036854775808", + "floor_float": 78.08688163092175 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "626219131438143252463/18446744073709551616", + "floor_float": 33.94740713786103 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "140028582836022991441/18446744073709551616", + "floor_float": 7.590964686044127 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1417703785754378706723/18446744073709551616", + "floor_float": 76.85387622279107 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "171157583643893350231/9223372036854775808", + "floor_float": 18.55694240240786 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "493187241701151133563/9223372036854775808", + "floor_float": 53.471467889452164 + }, + "r=[31/64,249/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1915105214149241943257/18446744073709551616", + "floor_float": 103.81806168594626 + }, + "r=[31/64,249/512],b=[7/8,1],k=[1,5/4]": { + "floor": "203812369011614566913/4611686018427387904", + "floor_float": 44.194762652361966 + }, + "r=[31/64,249/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "181969837928296639877/18446744073709551616", + "floor_float": 9.864604680434718 + }, + "r=[31/64,249/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1849607985374694263879/18446744073709551616", + "floor_float": 100.26744979948903 + }, + "r=[31/64,249/512],b=[7/8,1],k=[3/4,1]": { + "floor": "445184918736198869915/18446744073709551616", + "floor_float": 24.13352280257848 + }, + "r=[31/64,249/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1285448370422824041771/18446744073709551616", + "floor_float": 69.68429579151886 + }, + "r=[31/64,249/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2501516580548673899213/18446744073709551616", + "floor_float": 135.60748555696912 + }, + "r=[33/128,133/512],b=[0,1/8],k=[1,5/4]": { + "floor": "459473780200142935157/18446744073709551616", + "floor_float": 24.908123534656106 + }, + "r=[33/128,133/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "54581820048481699935/9223372036854775808", + "floor_float": 5.917772787477672 + }, + "r=[33/128,133/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1043890121917930571799/18446744073709551616", + "floor_float": 56.58939690097892 + }, + "r=[33/128,133/512],b=[0,1/8],k=[3/4,1]": { + "floor": "63650830389916728223/4611686018427387904", + "floor_float": 13.802073717850817 + }, + "r=[33/128,133/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "90358771830329525553/2305843009213693952", + "floor_float": 39.18687068862611 + }, + "r=[33/128,133/512],b=[0,1/8],k=[7/4,2]": { + "floor": "355415851844903347273/4611686018427387904", + "floor_float": 77.06852774120608 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "403467155021027957717/9223372036854775808", + "floor_float": 43.74399660003443 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "95943309280263166323/9223372036854775808", + "floor_float": 10.402194435710998 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "229271529583849273725/2305843009213693952", + "floor_float": 99.4306761855536 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "447192743398035337493/18446744073709551616", + "floor_float": 24.242367195595133 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "79357599465186429705/1152921504606846976", + "floor_float": 68.8317453947117 + }, + "r=[33/128,133/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2498925557822815005153/18446744073709551616", + "floor_float": 135.46702593355235 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "614221238238011927091/18446744073709551616", + "floor_float": 33.29700004421946 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "9124814959613285343/1152921504606846976", + "floor_float": 7.9145153621927635 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "43619566442503101327/576460752303423488", + "floor_float": 75.66788591974027 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "170187512779460035883/9223372036854775808", + "floor_float": 18.451767108539514 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "483204533006994137309/9223372036854775808", + "floor_float": 52.389140444102665 + }, + "r=[33/128,133/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1901312165195035807493/18446744073709551616", + "floor_float": 103.0703390038788 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "532376773308042230489/18446744073709551616", + "floor_float": 28.860202710070116 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "126518143958528422259/18446744073709551616", + "floor_float": 6.858562326933516 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "37801613462578111927/576460752303423488", + "floor_float": 65.57534630333517 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "295015693418879227709/18446744073709551616", + "floor_float": 15.99283278610332 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "837592099396201605005/18446744073709551616", + "floor_float": 45.40595869110282 + }, + "r=[33/128,133/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1647549577493033394871/18446744073709551616", + "floor_float": 89.3138415597761 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1042794951196137211631/18446744073709551616", + "floor_float": 56.53002757718838 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "248050759671953467217/18446744073709551616", + "floor_float": 13.446858626150584 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2370802567158164396607/18446744073709551616", + "floor_float": 128.52146469235464 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "577919488827405102253/18446744073709551616", + "floor_float": 31.32907826541924 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1640975534183610534487/18446744073709551616", + "floor_float": 88.95746195787159 + }, + "r=[33/128,133/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3230614851676693744029/18446744073709551616", + "floor_float": 175.13198203259034 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "352734261866184424425/9223372036854775808", + "floor_float": 38.2435253025388 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "83862082655544995931/9223372036854775808", + "floor_float": 9.092345220430083 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1603363723136660947143/18446744073709551616", + "floor_float": 86.91852159546073 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "390952797551227516027/18446744073709551616", + "floor_float": 21.193593622216323 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "138752500200668033571/2305843009213693952", + "floor_float": 60.17430486214387 + }, + "r=[33/128,133/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "136515292488520808705/1152921504606846976", + "floor_float": 118.40814135483866 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "919184643506097891209/18446744073709551616", + "floor_float": 49.82909937023126 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "218613417643693072559/18446744073709551616", + "floor_float": 11.851057117188647 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "130596876902202362597/1152921504606846976", + "floor_float": 113.27473412575183 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "254702292773885184301/9223372036854775808", + "floor_float": 27.61487791624853 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "361601940099276513455/4611686018427387904", + "floor_float": 78.40992180612177 + }, + "r=[33/128,133/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "711779642112238695383/4611686018427387904", + "floor_float": 154.3426068618088 + }, + "r=[33/128,133/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1178525056807774205523/18446744073709551616", + "floor_float": 63.887971345979565 + }, + "r=[33/128,133/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "17519323764479669377/1152921504606846976", + "floor_float": 15.195591108740627 + }, + "r=[33/128,133/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2679714417490353012291/18446744073709551616", + "floor_float": 145.26760965418845 + }, + "r=[33/128,133/512],b=[7/8,1],k=[3/4,1]": { + "floor": "326569465808167939211/9223372036854775808", + "floor_float": 35.406732429664636 + }, + "r=[33/128,133/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "463663851494283163837/4611686018427387904", + "floor_float": 100.54107101861962 + }, + "r=[33/128,133/512],b=[7/8,1],k=[7/4,2]": { + "floor": "456486357849655467883/2305843009213693952", + "floor_float": 197.96940035623675 + }, + "r=[33/256,67/512],b=[0,1/8],k=[1,5/4]": { + "floor": "132036218598051226137/4611686018427387904", + "floor_float": 28.630791010155622 + }, + "r=[33/256,67/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "64625951829150010597/9223372036854775808", + "floor_float": 7.0067597372108 + }, + "r=[33/256,67/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "298268684959587024987/4611686018427387904", + "floor_float": 64.67671124351575 + }, + "r=[33/256,67/512],b=[0,1/8],k=[3/4,1]": { + "floor": "295223309874376041943/18446744073709551616", + "floor_float": 16.004087696707987 + }, + "r=[33/256,67/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "827574455093717261299/18446744073709551616", + "floor_float": 44.86290110530579 + }, + "r=[33/256,67/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1624203814775775804215/18446744073709551616", + "floor_float": 88.048265226957 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "917470596364690010811/18446744073709551616", + "floor_float": 49.73618068850841 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "224666507735327431363/18446744073709551616", + "floor_float": 12.17919578856867 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2072763000991760504107/18446744073709551616", + "floor_float": 112.36470743614203 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "512934214625786910113/18446744073709551616", + "floor_float": 27.80621949197121 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1437637321093030642933/18446744073709551616", + "floor_float": 77.93447533876522 + }, + "r=[33/256,67/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1411090228758316258545/9223372036854775808", + "floor_float": 152.9907091592834 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "702011040754482782009/18446744073709551616", + "floor_float": 38.05609477474101 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "171865041315262651379/18446744073709551616", + "floor_float": 9.316822558415938 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1585896983030790879645/18446744073709551616", + "floor_float": 85.97164771700953 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "196220908085016598975/9223372036854775808", + "floor_float": 21.274313483285347 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1100012779795478710549/18446744073709551616", + "floor_float": 59.63181228080384 + }, + "r=[33/256,67/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2159128862484212738809/18446744073709551616", + "floor_float": 117.04661016907697 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "305090327253225003227/9223372036854775808", + "floor_float": 33.077959561226 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "149359313717340103069/18446744073709551616", + "floor_float": 8.096784620664208 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1378413662403223055895/18446744073709551616", + "floor_float": 74.72395436806376 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "170547621888072425185/9223372036854775808", + "floor_float": 18.49081021632845 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "956119369849212812895/18446744073709551616", + "floor_float": 51.8313348972994 + }, + "r=[33/256,67/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1876576345847111140923/18446744073709551616", + "floor_float": 101.72940755011736 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1179956722310899247219/18446744073709551616", + "floor_float": 63.965582088417605 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "288935019575122211919/18446744073709551616", + "floor_float": 15.663198796524462 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2666059418099754854101/18446744073709551616", + "floor_float": 144.5273706539597 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "329817901260178522213/9223372036854775808", + "floor_float": 35.758928507089514 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "924521709100698590071/9223372036854775808", + "floor_float": 100.2368445516989 + }, + "r=[33/256,67/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1815118269406836571901/9223372036854775808", + "floor_float": 196.79551710090215 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "402087441938225394675/9223372036854775808", + "floor_float": 43.59440780785631 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "98455838492139874559/9223372036854775808", + "floor_float": 10.674603398706001 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1816739766019603188057/18446744073709551616", + "floor_float": 98.48566005796305 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "449573593657118280093/18446744073709551616", + "floor_float": 24.371433346758153 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1260096735725136526293/18446744073709551616", + "floor_float": 68.30998092075428 + }, + "r=[33/256,67/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "309187617215630671575/2305843009213693952", + "floor_float": 134.08875451632133 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "521268635286204713735/9223372036854775808", + "floor_float": 56.51605868258572 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "255289394290352105659/18446744073709551616", + "floor_float": 13.839265795105414 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2355405265880198643017/18446744073709551616", + "floor_float": 127.68677531755543 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "18213429942322910685/576460752303423488", + "floor_float": 31.595264499006458 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "816815446344738097829/9223372036854775808", + "floor_float": 88.55930814466821 + }, + "r=[33/256,67/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3207124055650060720807/18446744073709551616", + "floor_float": 173.85854342831587 + }, + "r=[33/256,67/512],b=[7/8,1],k=[1,5/4]": { + "floor": "41578042104710161505/576460752303423488", + "floor_float": 72.12640572419285 + }, + "r=[33/256,67/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "81447838346479408121/4611686018427387904", + "floor_float": 17.66118465590023 + }, + "r=[33/256,67/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3006463007055830187801/18446744073709551616", + "floor_float": 162.98068618736167 + }, + "r=[33/256,67/512],b=[7/8,1],k=[3/4,1]": { + "floor": "371889819543835237471/9223372036854775808", + "floor_float": 40.32037502746684 + }, + "r=[33/256,67/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "521258465316554585297/4611686018427387904", + "floor_float": 113.0299121045337 + }, + "r=[33/256,67/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4093883668108649644235/18446744073709551616", + "floor_float": 221.92987834331618 + }, + "r=[35/128,141/512],b=[0,1/8],k=[1,5/4]": { + "floor": "449761022037336859087/18446744073709551616", + "floor_float": 24.381593859609072 + }, + "r=[35/128,141/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "106441709437886154805/18446744073709551616", + "floor_float": 5.770216630781349 + }, + "r=[35/128,141/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "511110344045149529891/9223372036854775808", + "floor_float": 55.414694539356475 + }, + "r=[35/128,141/512],b=[0,1/8],k=[3/4,1]": { + "floor": "124479005926162332473/9223372036854775808", + "floor_float": 13.496040865398118 + }, + "r=[35/128,141/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "707848390647133359367/18446744073709551616", + "floor_float": 38.3725381464995 + }, + "r=[35/128,141/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1391940387950419789351/18446744073709551616", + "floor_float": 75.45723962930805 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "197817251655320046247/4611686018427387904", + "floor_float": 42.89477879996195 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "93712656424579741155/9223372036854775808", + "floor_float": 10.160346568491702 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1799466566985384063801/18446744073709551616", + "floor_float": 97.54927806202929 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "438034730692590235237/18446744073709551616", + "floor_float": 23.74591033205046 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1245586996977945550171/18446744073709551616", + "floor_float": 67.5234064071592 + }, + "r=[35/128,141/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1225691737619046644835/9223372036854775808", + "floor_float": 132.88976447241032 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "601798958285843107891/18446744073709551616", + "floor_float": 32.623586898651226 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "35622311143158952589/4611686018427387904", + "floor_float": 7.724357426073506 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "684085365823538374307/9223372036854775808", + "floor_float": 74.16868397914213 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "333138779440728283079/18446744073709551616", + "floor_float": 18.059489420440347 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "947227700392768789447/18446744073709551616", + "floor_float": 51.34931653021442 + }, + "r=[35/128,141/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "931689593953284658287/9223372036854775808", + "floor_float": 101.01398818462887 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "260682300290780278557/9223372036854775808", + "floor_float": 28.26323163037826 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "30855731917511901797/4611686018427387904", + "floor_float": 6.6907703157193446 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1185101859937666928899/18446744073709551616", + "floor_float": 64.24450055805153 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "144305980729219587457/9223372036854775808", + "floor_float": 15.64568578092712 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "820572108436004276965/18446744073709551616", + "floor_float": 44.48330313236634 + }, + "r=[35/128,141/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "806941055494991550405/9223372036854775808", + "floor_float": 87.48872454354158 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "511662403159656596851/9223372036854775808", + "floor_float": 55.474548908485374 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "121232957322734221225/9223372036854775808", + "floor_float": 13.144103570615089 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1163893247058990331475/9223372036854775808", + "floor_float": 126.18955870025653 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "283255617926401660233/9223372036854775808", + "floor_float": 30.710635632452867 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "805513021988880058639/9223372036854775808", + "floor_float": 87.33389684057077 + }, + "r=[35/128,141/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "396471773600574911215/2305843009213693952", + "floor_float": 171.94222330676976 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "172874616096464191305/4611686018427387904", + "floor_float": 37.4862068678768 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "163760341183540293665/18446744073709551616", + "floor_float": 8.87746588390809 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1572346093021557283447/18446744073709551616", + "floor_float": 85.23705249765337 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "95699881517358145159/4611686018427387904", + "floor_float": 20.751603889545013 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "136058842221841467155/2305843009213693952", + "floor_float": 59.0061169291132 + }, + "r=[35/128,141/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1070854148238517229655/9223372036854775808", + "floor_float": 116.10223939353148 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "901682284445850450047/18446744073709551616", + "floor_float": 48.88029458439418 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "26701634901532232231/2305843009213693952", + "floor_float": 11.579988227662406 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2050836720546479040289/18446744073709551616", + "floor_float": 111.176081391477 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "499161178845471093155/18446744073709551616", + "floor_float": 27.05958172623426 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1419459253342193692335/18446744073709551616", + "floor_float": 76.94904031141292 + }, + "r=[35/128,141/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1397074396804043220333/9223372036854775808", + "floor_float": 151.47110961388194 + }, + "r=[35/128,141/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1156935093986768249995/18446744073709551616", + "floor_float": 62.71757711625877 + }, + "r=[35/128,141/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "274123366218346602953/18446744073709551616", + "floor_float": 14.860257459148546 + }, + "r=[35/128,141/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2632128656370744921637/18446744073709551616", + "floor_float": 142.68798037492567 + }, + "r=[35/128,141/512],b=[7/8,1],k=[3/4,1]": { + "floor": "80058790175397703049/2305843009213693952", + "floor_float": 34.71996569389094 + }, + "r=[35/128,141/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1821493927231616780409/18446744073709551616", + "floor_float": 98.74338365368361 + }, + "r=[35/128,141/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3586830778649070729909/18446744073709551616", + "floor_float": 194.4424861274598 + }, + "r=[35/256,71/512],b=[0,1/8],k=[1,5/4]": { + "floor": "524611324608323875457/18446744073709551616", + "floor_float": 28.439236892542144 + }, + "r=[35/256,71/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "128172759101414693987/18446744073709551616", + "floor_float": 6.948259193560751 + }, + "r=[35/256,71/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1185599080239846143873/18446744073709551616", + "floor_float": 64.27145492464285 + }, + "r=[35/256,71/512],b=[0,1/8],k=[3/4,1]": { + "floor": "293095349685081979485/18446744073709551616", + "floor_float": 15.888730743698224 + }, + "r=[35/256,71/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "205566035802547896765/4611686018427387904", + "floor_float": 44.575028521271086 + }, + "r=[35/256,71/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1614162320591723858577/18446744073709551616", + "floor_float": 87.50391473648952 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "113972871258742908777/2305843009213693952", + "floor_float": 49.42785384925591 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "27865175650836166019/2305843009213693952", + "floor_float": 12.0845935909307 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2060798973425267127149/18446744073709551616", + "floor_float": 111.7161362021786 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "509494073528308590781/18446744073709551616", + "floor_float": 27.619729069394076 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1429115425015190791921/18446744073709551616", + "floor_float": 77.47250242670074 + }, + "r=[35/256,71/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1403072710242550612583/9223372036854775808", + "floor_float": 152.1214480600098 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "43593689681893168253/1152921504606846976", + "floor_float": 37.811498447813996 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "42619984977285952275/4611686018427387904", + "floor_float": 9.241736060734599 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "788183620296481356263/9223372036854775808", + "floor_float": 85.4550393442935 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "194859653750322989937/9223372036854775808", + "floor_float": 21.126725992587335 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1093231583508383266325/18446744073709551616", + "floor_float": 59.264202893477865 + }, + "r=[35/256,71/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1073173256609585881769/9223372036854775808", + "floor_float": 116.35367762694567 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "606179960491337281597/18446744073709551616", + "floor_float": 32.86108150409426 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "148134767191659204321/18446744073709551616", + "floor_float": 8.030401820491567 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "684976528211556148349/9223372036854775808", + "floor_float": 74.26530399885476 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "21167775101980607303/1152921504606846976", + "floor_float": 18.360118201801555 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "237527364600517344325/4611686018427387904", + "floor_float": 51.50553694492748 + }, + "r=[35/256,71/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1865222110112761712245/18446744073709551616", + "floor_float": 101.11389319761265 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1172915292107965736959/18446744073709551616", + "floor_float": 63.583865392246324 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "71686399507152751887/4611686018427387904", + "floor_float": 15.54451001666376 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "662811584727218690607/4611686018427387904", + "floor_float": 143.7243520219621 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "655367288113308146019/18446744073709551616", + "floor_float": 35.52753187741911 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "229810237539783679187/2305843009213693952", + "floor_float": 99.66430352001731 + }, + "r=[35/256,71/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3610399506163725592039/18446744073709551616", + "floor_float": 195.72014940616518 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "199773789089223538365/4611686018427387904", + "floor_float": 43.319035227239425 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "195352169011052463933/18446744073709551616", + "floor_float": 10.590062302076927 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "28219377307345481143/288230376151711744", + "floor_float": 97.90563258499877 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "111627971229288604749/4611686018427387904", + "floor_float": 24.20545778338882 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "626239891039010686273/9223372036854775808", + "floor_float": 67.8970650361581 + }, + "r=[35/256,71/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1229576642254628777209/9223372036854775808", + "floor_float": 133.31096667699003 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "259047370681484760101/4611686018427387904", + "floor_float": 56.17194441390471 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "253328329499303687655/18446744073709551616", + "floor_float": 13.732956259763437 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2342068223070311335193/18446744073709551616", + "floor_float": 126.96377277810483 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "578997819248168237483/18446744073709551616", + "floor_float": 31.38753467466167 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "812063226854645810469/9223372036854775808", + "floor_float": 88.0440714751396 + }, + "r=[35/256,71/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "398657048840290589347/2305843009213693952", + "floor_float": 172.88993537172115 + }, + "r=[35/256,71/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1322686918043196535895/18446744073709551616", + "floor_float": 71.7030015030295 + }, + "r=[35/256,71/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "161677361365245117985/9223372036854775808", + "floor_float": 17.529094643392273 + }, + "r=[35/256,71/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "373757771707853017107/2305843009213693952", + "floor_float": 162.0915952275982 + }, + "r=[35/256,71/512],b=[7/8,1],k=[3/4,1]": { + "floor": "369519587706660669133/9223372036854775808", + "floor_float": 40.06339397675094 + }, + "r=[35/256,71/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1036678903480659585763/9223372036854775808", + "floor_float": 112.39695193236217 + }, + "r=[35/256,71/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2035965544003093360879/9223372036854775808", + "floor_float": 220.73982659137857 + }, + "r=[37/128,149/512],b=[0,1/8],k=[1,5/4]": { + "floor": "27488196915617193095/1152921504606846976", + "floor_float": 23.842210250897203 + }, + "r=[37/128,149/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "103676653623810072485/18446744073709551616", + "floor_float": 5.620322654748101 + }, + "r=[37/128,149/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "999872319243976435325/18446744073709551616", + "floor_float": 54.203187036621955 + }, + "r=[37/128,149/512],b=[0,1/8],k=[3/4,1]": { + "floor": "243197656459306609053/18446744073709551616", + "floor_float": 13.18377137382818 + }, + "r=[37/128,149/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "692398571802681028573/18446744073709551616", + "floor_float": 37.535001788716365 + }, + "r=[37/128,149/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1361189843986896855175/18446744073709551616", + "floor_float": 73.79024930078992 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "775179056136991232701/18446744073709551616", + "floor_float": 42.02254083644944 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "91443285437386062735/9223372036854775808", + "floor_float": 9.914300873042606 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1763579114931798049257/18446744073709551616", + "floor_float": 95.60381538795593 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "53583429729857018423/2305843009213693952", + "floor_float": 23.23810836893414 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1220705583045022544197/18446744073709551616", + "floor_float": 66.17458225512989 + }, + "r=[37/128,149/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "600517110159395470365/4611686018427387904", + "floor_float": 130.21639108990672 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "589006797406147503737/18446744073709551616", + "floor_float": 31.930122467823725 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "2170569760493484059/288230376151711744", + "floor_float": 7.5306766395468046 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "669776598319941662811/9223372036854775808", + "floor_float": 72.61732429784318 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "325720434037882935705/18446744073709551616", + "floor_float": 17.657340110339707 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "927406644418116281155/18446744073709551616", + "floor_float": 50.27481493278067 + }, + "r=[37/128,149/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "456028521641829216693/4611686018427387904", + "floor_float": 98.88542277588482 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "510058062608647384787/18446744073709551616", + "floor_float": 27.650302978702147 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "30066998859953734635/4611686018427387904", + "floor_float": 6.519741096816205 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1159797151041555582579/18446744073709551616", + "floor_float": 62.87272954008766 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "70512770819889322273/4611686018427387904", + "floor_float": 15.290019862179298 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "803063358494503626969/18446744073709551616", + "floor_float": 43.534151896162314 + }, + "r=[37/128,149/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "394778192772218762637/4611686018427387904", + "floor_float": 85.60387485070817 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "501635997172409497485/9223372036854775808", + "floor_float": 54.387483793125874 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "118383789168546279171/9223372036854775808", + "floor_float": 12.835196140360381 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "35677011597241876009/288230376151711744", + "floor_float": 123.77949914086457 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "277402415502074210005/9223372036854775808", + "floor_float": 30.076030154007544 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "790062959781016036343/9223372036854775808", + "floor_float": 85.65879773949052 + }, + "r=[37/128,149/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3110865416002703882669/18446744073709551616", + "floor_float": 168.6403521170077 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "338564547834252375745/9223372036854775808", + "floor_float": 36.70724182884689 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "39931759918615789855/4611686018427387904", + "floor_float": 8.658820170986566 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "385052139188750807167/4611686018427387904", + "floor_float": 83.49487316572689 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "187225319257756363007/9223372036854775808", + "floor_float": 20.29900978835516 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1066220815879729217633/18446744073709551616", + "floor_float": 57.79994624630347 + }, + "r=[37/128,149/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "524383757092890832599/4611686018427387904", + "floor_float": 113.70760173124465 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "883701135659966522129/18446744073709551616", + "floor_float": 47.90553455552216 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "104258072621620013827/9223372036854775808", + "floor_float": 11.303682883551192 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2010854300215790686085/18446744073709551616", + "floor_float": 109.00863004228896 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "61084168099177288711/2305843009213693952", + "floor_float": 26.491035103039106 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1391706202380232897571/18446744073709551616", + "floor_float": 75.44454440410998 + }, + "r=[37/128,149/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "342408548809039719499/2305843009213693952", + "floor_float": 148.4960369985479 + }, + "r=[37/128,149/512],b=[7/8,1],k=[1,5/4]": { + "floor": "567350079701839719417/9223372036854775808", + "floor_float": 61.51221889725587 + }, + "r=[37/128,149/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "267802261642156777359/18446744073709551616", + "floor_float": 14.517589693447892 + }, + "r=[37/128,149/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2582819671086492242113/18446744073709551616", + "floor_float": 140.01493492651355 + }, + "r=[37/128,149/512],b=[7/8,1],k=[3/4,1]": { + "floor": "39217111489724142719/1152921504606846976", + "floor_float": 34.015421980612125 + }, + "r=[37/128,149/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1787229102874915446671/18446744073709551616", + "floor_float": 96.88588380331512 + }, + "r=[37/128,149/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3519316324396932690035/18446744073709551616", + "floor_float": 190.78252022874273 + }, + "r=[37/256,75/512],b=[0,1/8],k=[1,5/4]": { + "floor": "520996248436612102041/18446744073709551616", + "floor_float": 28.24326322058862 + }, + "r=[37/256,75/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "127074153412312512271/18446744073709551616", + "floor_float": 6.888703659819275 + }, + "r=[37/256,75/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1177922922506599965195/18446744073709551616", + "floor_float": 63.855329580106506 + }, + "r=[37/256,75/512],b=[0,1/8],k=[3/4,1]": { + "floor": "290922655568681060913/18446744073709551616", + "floor_float": 15.770948759640808 + }, + "r=[37/256,75/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "816822174841189192749/18446744073709551616", + "floor_float": 44.28001882485759 + }, + "r=[37/256,75/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1603842187171162388309/18446744073709551616", + "floor_float": 86.94445918274387 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "452980508234384681043/9223372036854775808", + "floor_float": 49.11224511213078 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "221143552910345918303/18446744073709551616", + "floor_float": 11.988216024828008 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1024255289183109512719/9223372036854775808", + "floor_float": 111.04998097120959 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "505980636564295656765/18446744073709551616", + "floor_float": 27.42926526993039 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "710188240713552735553/9223372036854775808", + "floor_float": 76.99876334552923 + }, + "r=[37/256,75/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1394825700006860680485/9223372036854775808", + "floor_float": 151.22730541860528 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "346437631139075552071/9223372036854775808", + "floor_float": 37.56084323117175 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "169070012837121279865/18446744073709551616", + "floor_float": 9.165303761007952 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "783291172232962100787/9223372036854775808", + "floor_float": 84.9245990623695 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "386939932619153417079/18446744073709551616", + "floor_float": 20.97605577835404 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1086280449728356486701/18446744073709551616", + "floor_float": 58.88738117620075 + }, + "r=[37/256,75/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1066600907095567559427/9223372036854775808", + "floor_float": 115.6411020648024 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "75260169923561622507/2305843009213693952", + "floor_float": 32.63889589310149 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "146887333796507590919/18446744073709551616", + "floor_float": 7.96277832063885 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "170156591759293859219/2305843009213693952", + "floor_float": 73.7936585792622 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "168110255142781636915/9223372036854775808", + "floor_float": 18.22655038428963 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "235983237579078131615/4611686018427387904", + "floor_float": 51.17070777067989 + }, + "r=[37/256,75/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1853528245238372155705/18446744073709551616", + "floor_float": 100.4799675125344 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "145713438959340628325/2305843009213693952", + "floor_float": 63.19313083202042 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "284516000368948454811/18446744073709551616", + "floor_float": 15.423643285345024 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1318015711069481748803/9223372036854775808", + "floor_float": 142.8995497311559 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "651007340336792768321/18446744073709551616", + "floor_float": 35.29117863485804 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1827649852971573110659/18446744073709551616", + "floor_float": 99.07709705672961 + }, + "r=[37/256,75/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1794997089185044743781/9223372036854775808", + "floor_float": 194.6139743699582 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "793891186900383802773/18446744073709551616", + "floor_float": 43.03692747772459 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "24220398817952032267/2305843009213693952", + "floor_float": 10.503923606755574 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "448760396043175720993/4611686018427387904", + "floor_float": 97.3093992630933 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "443377548858516890451/18446744073709551616", + "floor_float": 24.035545085185095 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1244661392894770215759/18446744073709551616", + "floor_float": 67.4732293092672 + }, + "r=[37/256,75/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1222194653096628358591/9223372036854775808", + "floor_float": 132.5106098087532 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1029688680023673841401/18446744073709551616", + "floor_float": 55.81953519326993 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "125665121682630953639/9223372036854775808", + "floor_float": 13.624639793396375 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "291046689805123264667/2305843009213693952", + "floor_float": 126.22138135257174 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "143770499355913605063/4611686018427387904", + "floor_float": 31.17525754820147 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1614378883575103321893/18446744073709551616", + "floor_float": 87.51565463934251 + }, + "r=[37/256,75/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1585443876631559082837/9223372036854775808", + "floor_float": 171.89416953977764 + }, + "r=[37/256,75/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1314695726760981158971/18446744073709551616", + "floor_float": 71.26979815558325 + }, + "r=[37/256,75/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "80218215938131997179/4611686018427387904", + "floor_float": 17.394552798606806 + }, + "r=[37/256,75/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2973228401619278022857/18446744073709551616", + "floor_float": 161.17903461656127 + }, + "r=[37/256,75/512],b=[7/8,1],k=[3/4,1]": { + "floor": "734198010728148316685/18446744073709551616", + "floor_float": 39.80095391329971 + }, + "r=[37/256,75/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "515345417648909517653/4611686018427387904", + "floor_float": 111.74772427907946 + }, + "r=[37/256,75/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2024684732305353842257/9223372036854775808", + "floor_float": 219.51675853636965 + }, + "r=[39/128,157/512],b=[0,1/8],k=[1,5/4]": { + "floor": "429590860315376054319/18446744073709551616", + "floor_float": 23.288167201692378 + }, + "r=[39/128,157/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "100870736474104693007/18446744073709551616", + "floor_float": 5.468213581271856 + }, + "r=[39/128,157/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "976756168802504962089/18446744073709551616", + "floor_float": 52.9500580102147 + }, + "r=[39/128,157/512],b=[0,1/8],k=[3/4,1]": { + "floor": "59328020295164286519/4611686018427387904", + "floor_float": 12.864713698656244 + }, + "r=[39/128,157/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "676464813516864582385/18446744073709551616", + "floor_float": 36.67123102124931 + }, + "r=[39/128,157/512],b=[0,1/8],k=[7/4,2]": { + "floor": "664660612356352654553/9223372036854775808", + "floor_float": 72.06264798823032 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "758627555751123348443/18446744073709551616", + "floor_float": 41.125282202636804 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "178267431464183182033/18446744073709551616", + "floor_float": 9.663896823843908 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1726462877739109858951/18446744073709551616", + "floor_float": 93.59174013801594 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "419075780345811888093/18446744073709551616", + "floor_float": 22.718143574349366 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1195036869380267634779/18446744073709551616", + "floor_float": 64.7830784991181 + }, + "r=[39/128,157/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2351016096423754317205/18446744073709551616", + "floor_float": 127.44883796455123 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "575924077854696128617/18446744073709551616", + "floor_float": 31.220906819838618 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "135285146054544932375/18446744073709551616", + "floor_float": 7.333822462867819 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "163767005504234230215/2305843009213693952", + "floor_float": 71.02261725965452 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "318147353867012923397/18446744073709551616", + "floor_float": 17.2468026116565 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "226777394439276557081/4611686018427387904", + "floor_float": 49.17450874433316 + }, + "r=[39/128,157/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "445895973796920083619/4611686018427387904", + "floor_float": 96.68827669863207 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "498485804203825030837/18446744073709551616", + "floor_float": 27.022969593548545 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "29268797160180855955/4611686018427387904", + "floor_float": 6.346658693421129 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1133667520878373646039/18446744073709551616", + "floor_float": 61.45623945062943 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "68843490301054017193/4611686018427387904", + "floor_float": 14.928052349177504 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "98129991929845818311/2305843009213693952", + "floor_float": 42.557100174529545 + }, + "r=[39/128,157/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "48221624641751955173/576460752303423488", + "floor_float": 83.65118431578881 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "491365039136658794273/9223372036854775808", + "floor_float": 53.27390429153904 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "230973970165230155539/18446744073709551616", + "floor_float": 12.52112401203723 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "139839899498653139715/1152921504606846976", + "floor_float": 121.29177826927547 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "271426211404847175195/9223372036854775808", + "floor_float": 29.428088807464512 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "193542760941897032829/2305843009213693952", + "floor_float": 83.93579275281895 + }, + "r=[39/128,157/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "761937212947175373679/4611686018427387904", + "floor_float": 165.21879631497558 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "662366786916596484331/18446744073709551616", + "floor_float": 35.90697546786085 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "1215795542763986813/144115188075855872", + "floor_float": 8.436276280082607 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "188386509415079386075/2305843009213693952", + "floor_float": 81.699625109916 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "182951227161493710955/9223372036854775808", + "floor_float": 19.83561179473805 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "32603838504601179339/576460752303423488", + "floor_float": 56.55864406088822 + }, + "r=[39/128,157/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2052029107782237176603/18446744073709551616", + "floor_float": 111.24072083304965 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "216307321794492995541/4611686018427387904", + "floor_float": 46.90417364282208 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "6354296441871053241/576460752303423488", + "floor_float": 11.02294721102961 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1969502008448151464177/18446744073709551616", + "floor_float": 106.7669178137025 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "59743880822829379049/2305843009213693952", + "floor_float": 25.90977815233067 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1363091628167855039471/18446744073709551616", + "floor_float": 73.8933452278196 + }, + "r=[39/128,157/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2682357782672413683251/18446744073709551616", + "floor_float": 145.41090676784157 + }, + "r=[39/128,157/512],b=[7/8,1],k=[1,5/4]": { + "floor": "138983893899325436221/2305843009213693952", + "floor_float": 60.274655882457395 + }, + "r=[39/128,157/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "261339521065301052615/18446744073709551616", + "floor_float": 14.167243824766032 + }, + "r=[39/128,157/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1266019976615217220363/9223372036854775808", + "floor_float": 137.26216090562662 + }, + "r=[39/128,157/512],b=[7/8,1],k=[3/4,1]": { + "floor": "153540990483183901469/4611686018427387904", + "floor_float": 33.29389508948883 + }, + "r=[39/128,157/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1751985995006576834179/18446744073709551616", + "floor_float": 94.97535109751544 + }, + "r=[39/128,157/512],b=[7/8,1],k=[7/4,2]": { + "floor": "862398386103988463233/4611686018427387904", + "floor_float": 187.00284075238744 + }, + "r=[39/256,79/512],b=[0,1/8],k=[1,5/4]": { + "floor": "517296433151083644651/18446744073709551616", + "floor_float": 28.042695832070372 + }, + "r=[39/256,79/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "125956565359651727701/18446744073709551616", + "floor_float": 6.828119090087342 + }, + "r=[39/256,79/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "585016877873437454117/9223372036854775808", + "floor_float": 63.427656993106794 + }, + "r=[39/256,79/512],b=[0,1/8],k=[3/4,1]": { + "floor": "288704783297747127739/18446744073709551616", + "floor_float": 15.65071766291871 + }, + "r=[39/256,79/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "50702266023011254851/1152921504606846976", + "floor_float": 43.97720557766942 + }, + "r=[39/256,79/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1593219604868756363949/18446744073709551616", + "floor_float": 86.36860784226013 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "900000717363870264805/18446744073709551616", + "floor_float": 48.78913665022103 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "219328427640541690395/18446744073709551616", + "floor_float": 11.889817886785252 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2035888990127870155085/18446744073709551616", + "floor_float": 110.36576330179783 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "125597843690150906199/4611686018427387904", + "floor_float": 27.234690997671283 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1411414213477815361971/18446744073709551616", + "floor_float": 76.51291782647834 + }, + "r=[39/256,79/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "693172284678206497505/4611686018427387904", + "floor_float": 150.3077793909704 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "344069986879727207677/9223372036854775808", + "floor_float": 37.304142726205924 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "5238583142197312483/576460752303423488", + "floor_float": 9.087493157626026 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "778264121895943530173/9223372036854775808", + "floor_float": 84.37956517271054 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "192050676649993303079/9223372036854775808", + "floor_float": 20.822176085123388 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "269787271510302402441/4611686018427387904", + "floor_float": 58.5007891760813 + }, + "r=[39/256,79/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "33119950850601559591/288230376151711744", + "floor_float": 114.90791252747309 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "597888042476647086325/18446744073709551616", + "floor_float": 32.411575727814316 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "36404389858576122911/4611686018427387904", + "floor_float": 7.893943714535499 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1352330257843895350151/18446744073709551616", + "floor_float": 73.30997017361169 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "166852487799171040207/9223372036854775808", + "floor_float": 18.090182975647238 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "937605324785940501139/18446744073709551616", + "floor_float": 50.82768650334469 + }, + "r=[39/256,79/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "920762627237262458789/9223372036854775808", + "floor_float": 99.82928407941006 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "579156982012755491897/9223372036854775808", + "floor_float": 62.792325810837774 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "282245829972913164411/18446744073709551616", + "floor_float": 15.300577101580338 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "163775866667993653947/1152921504606846976", + "floor_float": 142.05292035370803 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "80819406267007092315/2305843009213693952", + "floor_float": 35.04983034147107 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1816546325329421945395/18446744073709551616", + "floor_float": 98.47517361713597 + }, + "r=[39/256,79/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3569023077570284505303/18446744073709551616", + "floor_float": 193.47712871763017 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "788571673780022513877/18446744073709551616", + "floor_float": 42.74855609364155 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "96073163521930790927/9223372036854775808", + "floor_float": 10.416273260803248 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "222970946366738295579/2305843009213693952", + "floor_float": 96.69823378078662 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "220088233628472582717/9223372036854775808", + "floor_float": 23.862014103848722 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1236658288759923292901/18446744073709551616", + "floor_float": 67.03938016478575 + }, + "r=[39/256,79/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2429230223038318698231/18446744073709551616", + "floor_float": 131.6888342642796 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1023043745971770754139/18446744073709551616", + "floor_float": 55.45931259651512 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "62324454815159328239/4611686018427387904", + "floor_float": 13.51446186191408 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2314322348804696665629/18446744073709551616", + "floor_float": 125.45966592029038 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "571087644096300135043/18446744073709551616", + "floor_float": 30.958723220441858 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "802197694361301199833/9223372036854775808", + "floor_float": 86.97444829893854 + }, + "r=[39/256,79/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "788002727532857122557/4611686018427387904", + "floor_float": 170.87085382312534 + }, + "r=[39/256,79/512],b=[7/8,1],k=[1,5/4]": { + "floor": "653261631966996157807/9223372036854775808", + "floor_float": 70.82676805800433 + }, + "r=[39/256,79/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "318347672736574830313/18446744073709551616", + "floor_float": 17.25766191933494 + }, + "r=[39/256,79/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2955950388190474973945/18446744073709551616", + "floor_float": 160.24239163177415 + }, + "r=[39/256,79/512],b=[7/8,1],k=[3/4,1]": { + "floor": "182314518640491291401/4611686018427387904", + "floor_float": 39.53315943713393 + }, + "r=[39/256,79/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1024545554104248152565/9223372036854775808", + "floor_float": 111.08145155701908 + }, + "r=[39/256,79/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4026179110235570179189/18446744073709551616", + "floor_float": 218.25960690665804 + }, + "r=[41/128,165/512],b=[0,1/8],k=[1,5/4]": { + "floor": "419131008234631710651/18446744073709551616", + "floor_float": 22.72113748420138 + }, + "r=[41/128,165/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "49011692981165864517/9223372036854775808", + "floor_float": 5.313858400737258 + }, + "r=[41/128,165/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "953041849317983795915/18446744073709551616", + "floor_float": 51.66450217500804 + }, + "r=[41/128,165/512],b=[0,1/8],k=[3/4,1]": { + "floor": "231306312896313043989/18446744073709551616", + "floor_float": 12.539140347589722 + }, + "r=[41/128,165/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "165031476010719578085/4611686018427387904", + "floor_float": 35.785496963862315 + }, + "r=[41/128,165/512],b=[0,1/8],k=[7/4,2]": { + "floor": "40518556036817098153/576460752303423488", + "floor_float": 70.2884903697484 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "11588835950535995025/288230376151711744", + "floor_float": 40.206851565277574 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "86788077764773301171/9223372036854775808", + "floor_float": 9.409582245840811 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "844153268498044070303/9223372036854775808", + "floor_float": 91.52328076163187 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "409287179781643655111/18446744073709551616", + "floor_float": 22.187502474486163 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "292177667209209719385/4611686018427387904", + "floor_float": 63.35593230799438 + }, + "r=[41/128,165/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "574610042146233450945/4611686018427387904", + "floor_float": 124.59869120538671 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "562521500848025276027/18446744073709551616", + "floor_float": 30.494351664461778 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "131608418760079392225/18446744073709551616", + "floor_float": 7.134506676853005 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1279771563711745352563/18446744073709551616", + "floor_float": 69.37655548307227 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "310430790704332425821/18446744073709551616", + "floor_float": 16.828486884401507 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "443097412122988906683/9223372036854775808", + "floor_float": 48.040717684644946 + }, + "r=[41/128,165/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "870839257655378447105/9223372036854775808", + "floor_float": 94.41658150356253 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "486614937847337280927/18446744073709551616", + "floor_float": 26.37944863889909 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "28458431671019248171/4611686018427387904", + "floor_float": 6.170938688649871 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "553375410436069609847/9223372036854775808", + "floor_float": 59.99708221948443 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "134275052918853172817/9223372036854775808", + "floor_float": 14.558130408522668 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "766501195982307784781/18446744073709551616", + "floor_float": 41.55211309483777 + }, + "r=[41/128,165/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "752980366140105041729/9223372036854775808", + "floor_float": 81.63829488080324 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "480818602139033476855/9223372036854775808", + "floor_float": 52.13045730105835 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "28136099136218212033/2305843009213693952", + "floor_float": 12.202087923502123 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2190087545661383901491/18446744073709551616", + "floor_float": 118.72488374697595 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "66328559164304844233/2305843009213693952", + "floor_float": 28.76542717750905 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1515613148414825263445/18446744073709551616", + "floor_float": 82.16155340794744 + }, + "r=[41/128,165/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2982511383670724239625/18446744073709551616", + "floor_float": 161.68226608192737 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "161819897110487840773/4611686018427387904", + "floor_float": 35.08909679971434 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "75730831523080039113/9223372036854775808", + "floor_float": 8.21075320614571 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "92062523496904664597/1152921504606846976", + "floor_float": 79.85151038387347 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "357198623995894919203/18446744073709551616", + "floor_float": 19.363776207259104 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1019845245008774214875/18446744073709551616", + "floor_float": 55.285921511876225 + }, + "r=[41/128,165/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "501248986156530663889/4611686018427387904", + "floor_float": 108.69104794941342 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "423139921098498714617/9223372036854775808", + "floor_float": 45.87692217203372 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "49517933822917344153/4611686018427387904", + "floor_float": 10.737490285560085 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "963452301528108525255/9223372036854775808", + "floor_float": 104.45770784029345 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "58373772066709566475/2305843009213693952", + "floor_float": 25.315588196360068 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "41677253749596297885/576460752303423488", + "floor_float": 72.29851049366711 + }, + "r=[41/128,165/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2623688567888827846751/18446744073709551616", + "floor_float": 142.23044226152246 + }, + "r=[41/128,165/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1088476310693642100091/18446744073709551616", + "floor_float": 59.006419037652684 + }, + "r=[41/128,165/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "127389497736847895619/9223372036854775808", + "floor_float": 13.811597019812774 + }, + "r=[41/128,165/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1239805739261877874851/9223372036854775808", + "floor_float": 134.42000759677248 + }, + "r=[41/128,165/512],b=[7/8,1],k=[3/4,1]": { + "floor": "600581538027005622339/18446744073709551616", + "floor_float": 32.55759041417826 + }, + "r=[41/128,165/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "857863873991478636625/9223372036854775808", + "floor_float": 93.00978758783921 + }, + "r=[41/128,165/512],b=[7/8,1],k=[7/4,2]": { + "floor": "105543674403123515319/576460752303423488", + "floor_float": 183.08908972795078 + }, + "r=[41/256,83/512],b=[0,1/8],k=[1,5/4]": { + "floor": "513511991369347565921/18446744073709551616", + "floor_float": 27.83754083200021 + }, + "r=[41/256,83/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "62409727772790503585/9223372036854775808", + "floor_float": 6.766476243548839 + }, + "r=[41/256,83/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1161937555129666873541/18446744073709551616", + "floor_float": 62.98876107820402 + }, + "r=[41/256,83/512],b=[0,1/8],k=[3/4,1]": { + "floor": "143220631578515168299/9223372036854775808", + "floor_float": 15.528011990217218 + }, + "r=[41/256,83/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "805508634784611830147/18446744073709551616", + "floor_float": 43.666710589465445 + }, + "r=[41/256,83/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1582304238407132097707/18446744073709551616", + "floor_float": 85.77688464070171 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "893908707311060394435/18446744073709551616", + "floor_float": 48.45888812351803 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "217482286499537865151/18446744073709551616", + "floor_float": 11.789738374995693 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2022950679426106357135/18446744073709551616", + "floor_float": 109.66437607324059 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "498729895597804650123/18446744073709551616", + "floor_float": 27.03620181453043 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1402239485998054378639/18446744073709551616", + "floor_float": 76.01555485320239 + }, + "r=[41/256,83/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2755276063413008012889/18446744073709551616", + "floor_float": 149.3638146874846 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "683297453198378697211/18446744073709551616", + "floor_float": 37.04162916057472 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "83087300751607263615/9223372036854775808", + "floor_float": 9.008343198084908 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "386554443985649625513/4611686018427387904", + "floor_float": 83.8206335906335 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "381200178073045567513/18446744073709551616", + "floor_float": 20.664903060932858 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1071845627665767548387/18446744073709551616", + "floor_float": 58.104867904215716 + }, + "r=[41/256,83/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2105790712762749884463/18446744073709551616", + "floor_float": 114.15514327885862 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "74199711280530149111/2305843009213693952", + "floor_float": 32.17899526725919 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "36081766757769942519/4611686018427387904", + "floor_float": 7.823985981177885 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "671588292752302442937/9223372036854775808", + "floor_float": 72.81374860178772 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "82785200454174475481/4611686018427387904", + "floor_float": 17.951178836412787 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "465563292564576029301/9223372036854775808", + "floor_float": 50.47647332280178 + }, + "r=[41/256,83/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "228648566726628299053/2305843009213693952", + "floor_float": 99.1605091122829 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1150754117932825361975/18446744073709551616", + "floor_float": 62.38250573297048 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "139968515467951690293/9223372036854775808", + "floor_float": 15.175416854992415 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2604404235529337546427/18446744073709551616", + "floor_float": 141.18503650956785 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "642014689754916535853/18446744073709551616", + "floor_float": 34.803686069994384 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "451294908610565815073/4611686018427387904", + "floor_float": 97.85898406944453 + }, + "r=[41/256,83/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3547500342478992436141/18446744073709551616", + "floor_float": 192.31037891043974 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "783130936661387189575/18446744073709551616", + "floor_float": 42.4536131434442 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "190502007795666316511/18446744073709551616", + "floor_float": 10.327134535745596 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1772193347130182294353/18446744073709551616", + "floor_float": 96.07079385114507 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "436910179877386149363/18446744073709551616", + "floor_float": 23.684948310204728 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "614228291804388691815/9223372036854775808", + "floor_float": 66.59476483763785 + }, + "r=[41/256,83/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "603411397935750436697/4611686018427387904", + "floor_float": 130.84398970889117 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "127030796277551509709/2305843009213693952", + "floor_float": 55.09082611867395 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "123615005220630489173/9223372036854775808", + "floor_float": 13.402365721201456 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2299904431392355696623/18446744073709551616", + "floor_float": 124.67806905123155 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "566997358880607032861/18446744073709551616", + "floor_float": 30.73698841459487 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "398541437421642086139/4611686018427387904", + "floor_float": 86.419898455608 + }, + "r=[41/256,83/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3132616652730641333291/18446744073709551616", + "floor_float": 169.81948902274152 + }, + "r=[41/256,83/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1298167281025046162635/18446744073709551616", + "floor_float": 70.37378931684778 + }, + "r=[41/256,83/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "19736142174864956189/1152921504606846976", + "floor_float": 17.1183745779771 + }, + "r=[41/256,83/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2938226712973069786833/18446744073709551616", + "floor_float": 159.28158927301726 + }, + "r=[41/256,83/512],b=[7/8,1],k=[3/4,1]": { + "floor": "90527200373597672191/2305843009213693952", + "floor_float": 39.259914925634064 + }, + "r=[41/256,83/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2036501489095340098385/18446744073709551616", + "floor_float": 110.39896693735663 + }, + "r=[41/256,83/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4002360293219226518285/18446744073709551616", + "floor_float": 216.9683862489003 + }, + "r=[43/128,173/512],b=[0,1/8],k=[1,5/4]": { + "floor": "204226707442984534043/9223372036854775808", + "floor_float": 22.14230398892454 + }, + "r=[43/128,173/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "95146546651441553973/18446744073709551616", + "floor_float": 5.157904629199317 + }, + "r=[43/128,173/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "464351993933201282935/9223372036854775808", + "floor_float": 50.34514406203526 + }, + "r=[43/128,173/512],b=[0,1/8],k=[3/4,1]": { + "floor": "225205882424796817981/18446744073709551616", + "floor_float": 12.208435349073989 + }, + "r=[43/128,173/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "643410975840139930277/18446744073709551616", + "floor_float": 34.8793788903449 + }, + "r=[43/128,173/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1262915345752066272243/18446744073709551616", + "floor_float": 68.46277807648362 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "181091218902002553315/4611686018427387904", + "floor_float": 39.267898590319845 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "84412526265793388255/9223372036854775808", + "floor_float": 9.152024436236289 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1649047185894322757121/18446744073709551616", + "floor_float": 89.39502707388661 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "199659933810002039273/9223372036854775808", + "floor_float": 21.647173399511622 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1141706102895254377667/18446744073709551616", + "floor_float": 61.892011854949686 + }, + "r=[43/128,173/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1122110549960967197813/9223372036854775808", + "floor_float": 121.65946960365848 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "274405920607857944187/9223372036854775808", + "floor_float": 29.751149526592442 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "7992667964609455027/1152921504606846976", + "floor_float": 6.932534376947893 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "624295795727627061301/9223372036854775808", + "floor_float": 67.686285800146 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "75641835992171024625/4611686018427387904", + "floor_float": 16.40220858270081 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "864755324271674364753/18446744073709551616", + "floor_float": 46.87848006218781 + }, + "r=[43/128,173/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "212324365123141108233/2305843009213693952", + "floor_float": 92.08101517524602 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "474499859782603823877/18446744073709551616", + "floor_float": 25.722688941018315 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "110553121711654761139/18446744073709551616", + "floor_float": 5.993096736741524 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1079151239431158856951/18446744073709551616", + "floor_float": 58.50090591158436 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "261606153558545145749/18446744073709551616", + "floor_float": 14.181698001187556 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "747531194287900545677/18446744073709551616", + "floor_float": 40.523747242381276 + }, + "r=[43/128,173/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1467800664006608871421/18446744073709551616", + "floor_float": 79.56963343458156 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "940051980296503434833/18446744073709551616", + "floor_float": 50.96031996433848 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "27389699898644365659/2305843009213693952", + "floor_float": 11.878388853534489 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2141403057953661574195/18446744073709551616", + "floor_float": 116.08569238002312 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "259081365449733393817/9223372036854775808", + "floor_float": 28.089657927111187 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1482044131010807039725/18446744073709551616", + "floor_float": 80.34177332806543 + }, + "r=[43/128,173/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2915328364695185184637/18446744073709551616", + "floor_float": 158.04026732555664 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "631840777869814982471/18446744073709551616", + "floor_float": 34.25215720156922 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "147248838968409352699/18446744073709551616", + "floor_float": 7.9823755552758815 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1437939287527036241195/18446744073709551616", + "floor_float": 77.95084497195356 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "348330019726217081931/18446744073709551616", + "floor_float": 18.883008206454157 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "995735700223270913287/18446744073709551616", + "floor_float": 53.97894047017227 + }, + "r=[43/128,173/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "978271441067605226445/9223372036854775808", + "floor_float": 106.06440216860227 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "826911468377945494779/18446744073709551616", + "floor_float": 44.82696052342735 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "192735482376141944393/18446744073709551616", + "floor_float": 10.448211435362737 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1883095789033666232615/18446744073709551616", + "floor_float": 102.0828272734303 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "455821126419293192539/18446744073709551616", + "floor_float": 24.710112776429373 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "651755524370541053721/9223372036854775808", + "floor_float": 70.66347554519697 + }, + "r=[43/128,173/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2563230362266778985851/18446744073709551616", + "floor_float": 138.95299636752242 + }, + "r=[43/128,173/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1064514625955389897913/18446744073709551616", + "floor_float": 57.707453505171394 + }, + "r=[43/128,173/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "15507275456783977265/1152921504606846976", + "floor_float": 13.450417391661064 + }, + "r=[43/128,173/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2425666943477425762553/18446744073709551616", + "floor_float": 131.49566849222492 + }, + "r=[43/128,173/512],b=[7/8,1],k=[3/4,1]": { + "floor": "586719658284428225339/18446744073709551616", + "floor_float": 31.806136407596494 + }, + "r=[43/128,173/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "419622830153336258203/4611686018427387904", + "floor_float": 90.9911968153526 + }, + "r=[43/128,173/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3302965748608559567097/18446744073709551616", + "floor_float": 179.05413201433055 + }, + "r=[43/256,87/512],b=[0,1/8],k=[1,5/4]": { + "floor": "509642953370895079369/18446744073709551616", + "floor_float": 27.627799861832653 + }, + "r=[43/256,87/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "30915879835922691751/4611686018427387904", + "floor_float": 6.703812816481636 + }, + "r=[43/256,87/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1153642099598519805027/18446744073709551616", + "floor_float": 62.539063532772694 + }, + "r=[43/256,87/512],b=[0,1/8],k=[3/4,1]": { + "floor": "71033433766457189647/4611686018427387904", + "floor_float": 15.402920641739614 + }, + "r=[43/256,87/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "199911875348501720651/4611686018427387904", + "floor_float": 43.348977911699386 + }, + "r=[43/256,87/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1571108295556540081523/18446744073709551616", + "floor_float": 85.16995136261994 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "887682402311998001273/18446744073709551616", + "floor_float": 48.12135945319099 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "215598926206513094637/18446744073709551616", + "floor_float": 11.687641208932172 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2009687435077812458033/18446744073709551616", + "floor_float": 108.94537415640927 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "494995872235453075605/18446744073709551616", + "floor_float": 26.83378000245177 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1392847205118689671457/18446744073709551616", + "floor_float": 75.50639828650232 + }, + "r=[43/256,87/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1368703026746037523083/9223372036854775808", + "floor_float": 148.39507950855395 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "678352048323427700973/18446744073709551616", + "floor_float": 36.77353822511261 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "164691419832297546799/18446744073709551616", + "floor_float": 8.927939758594965 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "767824018717647641883/9223372036854775808", + "floor_float": 83.24764691802243 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "23640074694994246821/1152921504606846976", + "floor_float": 20.50449627362589 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1064371792570993093699/18446744073709551616", + "floor_float": 57.69971049188807 + }, + "r=[43/256,87/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2091533777285364284257/18446744073709551616", + "floor_float": 113.38227325798026 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "294605412941555981021/9223372036854775808", + "floor_float": 31.941182873722415 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "8938461860757045945/1152921504606846976", + "floor_float": 7.752879814489291 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "333447203459764408453/4611686018427387904", + "floor_float": 72.30483648005851 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "328525829170763303239/18446744073709551616", + "floor_float": 17.809420885227166 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "924491374063405212741/18446744073709551616", + "floor_float": 50.116777810182654 + }, + "r=[43/256,87/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1816521583777269455805/18446744073709551616", + "floor_float": 98.47383237490624 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1143031001092128897609/18446744073709551616", + "floor_float": 61.96383473011836 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "138795159213983479053/9223372036854775808", + "floor_float": 15.048201315027237 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "323499110545805918983/2305843009213693952", + "floor_float": 140.29537538035646 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "637386965360014108009/18446744073709551616", + "floor_float": 34.552816627863514 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1793546485419275637649/18446744073709551616", + "floor_float": 97.22834979726599 + }, + "r=[43/256,87/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1762702233844627865859/9223372036854775808", + "floor_float": 191.1125591379397 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "388785766363691067741/9223372036854775808", + "floor_float": 42.15223725229556 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "188823704474942455969/18446744073709551616", + "floor_float": 10.236153530424675 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1760330415196796365985/18446744073709551616", + "floor_float": 95.42770302243383 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "216789616830894381355/9223372036854775808", + "floor_float": 23.504377354035576 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "610031252375177747347/9223372036854775808", + "floor_float": 66.13972091092208 + }, + "r=[43/256,87/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "299706578918675416407/2305843009213693952", + "floor_float": 129.97700958873048 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "504650152036443873971/9223372036854775808", + "floor_float": 54.71427911830526 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "61281960893156471551/4611686018427387904", + "floor_float": 13.288407026906395 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1142561251105084683263/9223372036854775808", + "floor_float": 123.87673906458888 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "281413196956442765617/9223372036854775808", + "floor_float": 30.510879950626638 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "791846947265871324781/9223372036854775808", + "floor_float": 85.85221805016724 + }, + "r=[43/256,87/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3112709560943234430973/18446744073709551616", + "floor_float": 168.74032341455276 + }, + "r=[43/256,87/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1289632165770093324077/18446744073709551616", + "floor_float": 69.91109979175607 + }, + "r=[43/256,87/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "78291503534316585883/4611686018427387904", + "floor_float": 16.976763643812518 + }, + "r=[43/256,87/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2920068442528243966471/18446744073709551616", + "floor_float": 158.29722745977426 + }, + "r=[43/256,87/512],b=[7/8,1],k=[3/4,1]": { + "floor": "359539664715926781889/9223372036854775808", + "floor_float": 38.98136855797177 + }, + "r=[43/256,87/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2023620085686897468025/18446744073709551616", + "floor_float": 109.70066465935184 + }, + "r=[43/256,87/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1988964054761252802355/9223372036854775808", + "floor_float": 215.64391491677281 + }, + "r=[45/128,181/512],b=[0,1/8],k=[1,5/4]": { + "floor": "397564830834546183465/18446744073709551616", + "floor_float": 21.55203266473235 + }, + "r=[45/128,181/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "92244282593619553809/18446744073709551616", + "floor_float": 5.000572579368456 + }, + "r=[45/128,181/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "112970803597429201431/2305843009213693952", + "floor_float": 48.99327627510639 + }, + "r=[45/128,181/512],b=[0,1/8],k=[3/4,1]": { + "floor": "109506270427967536195/9223372036854775808", + "floor_float": 11.872693629878755 + }, + "r=[45/128,181/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "313165106659084951295/9223372036854775808", + "floor_float": 33.95342889864346 + }, + "r=[45/128,181/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1228340875035707864213/18446744073709551616", + "floor_float": 66.588492263323 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "353336974475060370759/9223372036854775808", + "floor_float": 38.30887153453157 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "82009423447479071665/9223372036854775808", + "floor_float": 8.891479506604048 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1608761917716902026811/18446744073709551616", + "floor_float": 87.21115831003057 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "194589411378670443087/9223372036854775808", + "floor_float": 21.097426255943002 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "557026333087694709931/9223372036854775808", + "floor_float": 60.39291604653128 + }, + "r=[45/128,181/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2188472854142631507517/18446744073709551616", + "floor_float": 118.63735114434968 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "534828609182947472189/18446744073709551616", + "floor_float": 28.993116999177623 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "31029459955692602483/4611686018427387904", + "floor_float": 6.7284415790027765 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "608321117031896021155/9223372036854775808", + "floor_float": 65.95430766547905 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "294577312268282394043/18446744073709551616", + "floor_float": 15.96906809631063 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "842829619089444225557/18446744073709551616", + "floor_float": 45.68988520259528 + }, + "r=[45/128,181/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "413580557044227833473/4611686018427387904", + "floor_float": 89.68098768902338 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "231067845540135971519/9223372036854775808", + "floor_float": 25.05242601261604 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "26810078562494105537/4611686018427387904", + "floor_float": 5.813509084392631 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1050871529183215409741/18446744073709551616", + "floor_float": 56.96785974718031 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "63639310288040065417/4611686018427387904", + "floor_float": 13.79957569395443 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "728139951225959934295/18446744073709551616", + "floor_float": 39.47254584963375 + }, + "r=[45/128,181/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "89287084716453332715/1152921504606846976", + "floor_float": 77.44420097958078 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "918007721760148376935/18446744073709551616", + "floor_float": 49.76529831454107 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "213069412706211534273/18446744073709551616", + "floor_float": 11.550516007314254 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2091384461290499098529/18446744073709551616", + "floor_float": 113.37417882167928 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "505475602674956173091/18446744073709551616", + "floor_float": 27.401887327930357 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "723824922649391492455/9223372036854775808", + "floor_float": 78.47725536356225 + }, + "r=[45/128,181/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1423097455016613978199/9223372036854775808", + "floor_float": 154.29253523876054 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "616080806593384606173/18446744073709551616", + "floor_float": 33.39780744675847 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "71494645060174632397/9223372036854775808", + "floor_float": 7.751464949532138 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1401988969494717032921/18446744073709551616", + "floor_float": 76.0019743263443 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "339311076832541591659/18446744073709551616", + "floor_float": 18.394090332511876 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "485526474512843637135/9223372036854775808", + "floor_float": 52.6408858466053 + }, + "r=[45/128,181/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1906764188234224796705/18446744073709551616", + "floor_float": 103.36589376505529 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "807126225861649632023/18446744073709551616", + "floor_float": 43.75440037746132 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "187335770556304971293/18446744073709551616", + "floor_float": 10.155492471069593 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "459532672821142313659/4611686018427387904", + "floor_float": 99.6452644401506 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "444459808893736271161/18446744073709551616", + "floor_float": 24.09421451925405 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "636307962784873236995/9223372036854775808", + "floor_float": 68.9886475621185 + }, + "r=[45/128,181/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1250513800302803894209/9223372036854775808", + "floor_float": 135.58097790114041 + }, + "r=[45/128,181/512],b=[7/8,1],k=[1,5/4]": { + "floor": "260007458768974141835/4611686018427387904", + "floor_float": 56.3801303319514 + }, + "r=[45/128,181/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "241365474174264695731/18446744073709551616", + "floor_float": 13.084448573136585 + }, + "r=[45/128,181/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2370263145540138305533/18446744073709551616", + "floor_float": 128.49222258784718 + }, + "r=[45/128,181/512],b=[7/8,1],k=[3/4,1]": { + "floor": "572604459161549926745/18446744073709551616", + "floor_float": 31.040949929891987 + }, + "r=[45/128,181/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "820167209432934711919/9223372036854775808", + "floor_float": 88.92270702685616 + }, + "r=[45/128,181/512],b=[7/8,1],k=[7/4,2]": { + "floor": "806596882898394602811/4611686018427387904", + "floor_float": 174.90281855169508 + }, + "r=[45/256,91/512],b=[0,1/8],k=[1,5/4]": { + "floor": "1975347973017861575/72057594037927936", + "floor_float": 27.41346001613828 + }, + "r=[45/256,91/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "30622516433922377299/4611686018427387904", + "floor_float": 6.64019976892634 + }, + "r=[45/256,91/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1145143444847948323849/18446744073709551616", + "floor_float": 62.078350535584 + }, + "r=[45/256,91/512],b=[0,1/8],k=[3/4,1]": { + "floor": "281784343583742355031/18446744073709551616", + "floor_float": 15.275559874294764 + }, + "r=[45/256,91/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "198413369355151214487/4611686018427387904", + "floor_float": 43.02404122100475 + }, + "r=[45/256,91/512],b=[0,1/8],k=[7/4,2]": { + "floor": "389905007240948110505/4611686018427387904", + "floor_float": 84.54717118272245 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "881325960918977279783/18446744073709551616", + "floor_float": 47.776776074811494 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "213682801943187328743/18446744073709551616", + "floor_float": 11.583767904479673 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "499024342199646118705/4611686018427387904", + "floor_float": 108.20865518720122 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "245595464585963038769/9223372036854775808", + "floor_float": 26.62751362566879 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "691620218474917457561/9223372036854775808", + "floor_float": 74.98561434054047 + }, + "r=[45/256,91/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "339883443907959695665/2305843009213693952", + "floor_float": 147.400947310746 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "673300743034462679047/18446744073709551616", + "floor_float": 36.49970641670344 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "163184666126034531411/18446744073709551616", + "floor_float": 8.846258476508417 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "381204840533237033577/4611686018427387904", + "floor_float": 82.66062325362518 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "46903147969850017713/2305843009213693952", + "floor_float": 20.340997970128186 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "264181406316875657595/4611686018427387904", + "floor_float": 57.28521093180647 + }, + "r=[45/256,91/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "519226698274971538429/4611686018427387904", + "floor_float": 112.58934285643993 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "584733893443196586547/18446744073709551616", + "floor_float": 31.69848787985106 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "141683155214477393575/18446744073709551616", + "floor_float": 7.680659234406866 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "331043786974824596351/4611686018427387904", + "floor_float": 71.78367860518668 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "81464552628650147589/4611686018427387904", + "floor_float": 17.66480898810844 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "458854388432519608555/9223372036854775808", + "floor_float": 49.74909247930453 + }, + "r=[45/256,91/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "225441219647157639181/2305843009213693952", + "floor_float": 97.76954404369204 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "141892957979802312785/2305843009213693952", + "floor_float": 61.53626132083843 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "275205756490655288777/18446744073709551616", + "floor_float": 14.91893395338426 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2571184467423302521925/18446744073709551616", + "floor_float": 139.38418927206646 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "632670942891697428311/18446744073709551616", + "floor_float": 34.29716053758154 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "890823840935700261353/9223372036854775808", + "floor_float": 96.58331436443676 + }, + "r=[45/256,91/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "218921755929221383085/1152921504606846976", + "floor_float": 189.88435470624256 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "385946516557659436229/9223372036854775808", + "floor_float": 41.84440517150271 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "187118073960976861793/18446744073709551616", + "floor_float": 10.143691114989721 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1748171349506830406545/18446744073709551616", + "floor_float": 94.76855875061108 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "430184549701606962333/18446744073709551616", + "floor_float": 23.320351167809036 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "302868310488571870809/4611686018427387904", + "floor_float": 65.67409604174478 + }, + "r=[45/256,91/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1190618876414339833061/9223372036854775808", + "floor_float": 129.08715724106776 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "501104000077469708565/9223372036854775808", + "floor_float": 54.329804552516904 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "30373945014931773705/2305843009213693952", + "floor_float": 13.172598868857715 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2269988162085003230903/18446744073709551616", + "floor_float": 123.05630484244689 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "69821936099084913443/2305843009213693952", + "floor_float": 30.28043792230877 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "98311626254030888077/1152921504606846976", + "floor_float": 85.27174301216259 + }, + "r=[45/256,91/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3092297202796371870211/18446744073709551616", + "floor_float": 167.63376726213374 + }, + "r=[45/256,91/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1280899130088401459799/18446744073709551616", + "floor_float": 69.43768097883188 + }, + "r=[45/256,91/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "77628144629675801521/4611686018427387904", + "floor_float": 16.83292061070269 + }, + "r=[45/256,91/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "725366766414418704395/4611686018427387904", + "floor_float": 157.28884479905963 + }, + "r=[45/256,91/512],b=[7/8,1],k=[3/4,1]": { + "floor": "713844669763626774757/18446744073709551616", + "floor_float": 38.69759708874608 + }, + "r=[45/256,91/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1005222205554141582531/9223372036854775808", + "floor_float": 108.98640990924706 + }, + "r=[45/256,91/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3952865521525914216393/18446744073709551616", + "floor_float": 214.28526929907213 + }, + "r=[47/128,189/512],b=[0,1/8],k=[1,5/4]": { + "floor": "48311309460719716677/2305843009213693952", + "floor_float": 20.951690669172727 + }, + "r=[47/128,189/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "44659583382327551065/9223372036854775808", + "floor_float": 4.842001732541706 + }, + "r=[47/128,189/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "439138663947791848847/9223372036854775808", + "floor_float": 47.611509347457776 + }, + "r=[47/128,189/512],b=[0,1/8],k=[3/4,1]": { + "floor": "106367766232716956279/9223372036854775808", + "floor_float": 11.5324163231942 + }, + "r=[47/128,189/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "608900402739265504021/18446744073709551616", + "floor_float": 33.008556973860514 + }, + "r=[47/128,189/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1192952037972050567061/18446744073709551616", + "floor_float": 64.67005956201535 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "86081531182243036027/2305843009213693952", + "floor_float": 37.33191324746664 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "159165516688039861157/18446744073709551616", + "floor_float": 8.628379948897532 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1567495863366434443827/18446744073709551616", + "floor_float": 84.97412102119648 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "378877911790646174825/18446744073709551616", + "floor_float": 20.539012753509496 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "135719734111143259153/2305843009213693952", + "floor_float": 58.85905222898262 + }, + "r=[47/128,189/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2131295911280593532289/18446744073709551616", + "floor_float": 115.53778286099462 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "520600255983140111957/18446744073709551616", + "floor_float": 28.221796426671514 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "60159516400339640937/9223372036854775808", + "floor_float": 6.522507837692557 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1183939470543668431461/18446744073709551616", + "floor_float": 64.18148730273916 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "286470867792234757541/18446744073709551616", + "floor_float": 15.529616860707431 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "820439955994715703721/18446744073709551616", + "floor_float": 44.476139134169124 + }, + "r=[47/128,189/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1608967034350459546879/18446744073709551616", + "floor_float": 87.22227770501637 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "56193694812561520025/2305843009213693952", + "floor_float": 24.37013039830665 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "103899172573686357455/18446744073709551616", + "floor_float": 5.632385431191854 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1021940924775246591617/18446744073709551616", + "floor_float": 55.39952853965839 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "123704892414179407049/9223372036854775808", + "floor_float": 13.412111310253891 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "708346486860059518811/18446744073709551616", + "floor_float": 38.39953999630757 + }, + "r=[47/128,189/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1388447651509048203445/18446744073709551616", + "floor_float": 75.26789800742533 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "447761983336692053027/9223372036854775808", + "floor_float": 48.546451509005976 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "103476865106543484225/9223372036854775808", + "floor_float": 11.218984195050393 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "510024903627684923481/4611686018427387904", + "floor_float": 110.5940217069692 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "492578897178785631977/18446744073709551616", + "floor_float": 26.702755522087664 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "88280014958145086375/1152921504606846976", + "floor_float": 76.57070720373899 + }, + "r=[47/128,189/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2775206497659686009047/18446744073709551616", + "floor_float": 150.444245692926 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "300018183964782919837/9223372036854775808", + "floor_float": 32.52803668397734 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "69344188413963244403/9223372036854775808", + "floor_float": 7.51831197276631 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "170647517804553561647/2305843009213693952", + "floor_float": 74.00656381318231 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "330153419793323227793/18446744073709551616", + "floor_float": 17.897652749671987 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "945833036820357353821/18446744073709551616", + "floor_float": 51.273711666459675 + }, + "r=[47/128,189/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1855735673515386511333/18446744073709551616", + "floor_float": 100.59963243921165 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "393479169629341279883/9223372036854775808", + "floor_float": 42.661097053992414 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "181879843268122804113/18446744073709551616", + "floor_float": 9.85972606013109 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "448010761821231861935/4611686018427387904", + "floor_float": 97.14684825269309 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "432913988311432224783/18446744073709551616", + "floor_float": 23.468314331330955 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "620514551073777993515/9223372036854775808", + "floor_float": 67.27632243330577 + }, + "r=[47/128,189/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "304649219487988124409/2305843009213693952", + "floor_float": 132.120538245956 + }, + "r=[47/128,189/512],b=[7/8,1],k=[1,5/4]": { + "floor": "253762328373048695411/4611686018427387904", + "floor_float": 55.025933543407874 + }, + "r=[47/128,189/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "234538589043419269505/18446744073709551616", + "floor_float": 12.714362388628006 + }, + "r=[47/128,189/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "289173750719520185123/2305843009213693952", + "floor_float": 125.40912350235419 + }, + "r=[47/128,189/512],b=[7/8,1],k=[3/4,1]": { + "floor": "558251596581742555261/18446744073709551616", + "floor_float": 30.262879690371335 + }, + "r=[47/128,189/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "800652770243501399493/9223372036854775808", + "floor_float": 86.80694729045416 + }, + "r=[47/128,189/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3147714318280854731311/18446744073709551616", + "floor_float": 170.63793511219157 + }, + "r=[47/256,95/512],b=[0,1/8],k=[1,5/4]": { + "floor": "501655993666749268855/18446744073709551616", + "floor_float": 27.1948259086932 + }, + "r=[47/256,95/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "121299292053377908381/18446744073709551616", + "floor_float": 6.575647798261301 + }, + "r=[47/256,95/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "284110801733361920645/4611686018427387904", + "floor_float": 61.606709693181884 + }, + "r=[47/256,95/512],b=[0,1/8],k=[3/4,1]": { + "floor": "279393279636515461611/18446744073709551616", + "floor_float": 15.145940037988005 + }, + "r=[47/256,95/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "196881912554314200307/4611686018427387904", + "floor_float": 42.691959462897714 + }, + "r=[47/256,95/512],b=[0,1/8],k=[7/4,2]": { + "floor": "386960298650216940403/4611686018427387904", + "floor_float": 83.90863929244097 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "874838565328213413227/18446744073709551616", + "floor_float": 47.42509365514754 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "211736485947412492561/18446744073709551616", + "floor_float": 11.478257902931555 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "991096490246440400313/9223372036854775808", + "floor_float": 107.45489678679492 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "243657697786579883893/9223372036854775808", + "floor_float": 26.41742052830264 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "343355563514146474153/4611686018427387904", + "floor_float": 74.45336957940444 + }, + "r=[47/256,95/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2700284086817853993863/18446744073709551616", + "floor_float": 146.3826936627977 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "334071333429781210569/9223372036854775808", + "floor_float": 36.22008654696981 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "161650438387881257085/18446744073709551616", + "floor_float": 8.763087824168752 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1513725992999344554875/18446744073709551616", + "floor_float": 82.05925050788335 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "372152447363867519189/18446744073709551616", + "floor_float": 20.174424596385126 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1048903530769155125899/18446744073709551616", + "floor_float": 56.861174339381705 + }, + "r=[47/256,95/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1030952247006137507265/9223372036854775808", + "floor_float": 111.77606659328667 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "290081861728305203319/9223372036854775808", + "floor_float": 31.450738468446822 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "140330867699047658663/18446744073709551616", + "floor_float": 7.607351581304169 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1314327701760880833559/18446744073709551616", + "floor_float": 71.24984748035136 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "323138920052827205165/18446744073709551616", + "floor_float": 17.51739595679475 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "28461613248454475825/576460752303423488", + "floor_float": 49.37302866626649 + }, + "r=[47/256,95/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "447550401273595065625/4611686018427387904", + "floor_float": 97.0470234715182 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1127095494532634492815/18446744073709551616", + "floor_float": 61.099969188545316 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "272784912780414787883/18446744073709551616", + "floor_float": 14.787699752889727 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2553977271690122147453/18446744073709551616", + "floor_float": 138.45138532225158 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "78483387095393650883/2305843009213693952", + "floor_float": 34.03674351713864 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "884742604586337062847/9223372036854775808", + "floor_float": 95.92398539829902 + }, + "r=[47/256,95/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1739760275547996140561/9223372036854775808", + "floor_float": 188.6251870353117 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "191523851153396141217/4611686018427387904", + "floor_float": 41.530115100660495 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "185385090830367706825/18446744073709551616", + "floor_float": 10.049745911235362 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1735725749966902210937/18446744073709551616", + "floor_float": 94.09388144765734 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "213362651786953832429/9223372036854775808", + "floor_float": 23.132825059468352 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "150336402142920077067/2305843009213693952", + "floor_float": 65.19802152280336 + }, + "r=[47/256,95/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2364420545929972344827/18446744073709551616", + "floor_float": 128.17549462833193 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "248743023428846927903/4611686018427387904", + "floor_float": 53.93754527843372 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "240822988775906862919/18446744073709551616", + "floor_float": 13.055040380764524 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2254497847607685493419/18446744073709551616", + "floor_float": 122.21657321200732 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "554247931685116021301/18446744073709551616", + "floor_float": 30.045840581430014 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "781021336742763321917/9223372036854775808", + "floor_float": 84.67850300540367 + }, + "r=[47/256,95/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "767844673399151341291/4611686018427387904", + "floor_float": 166.4997726061565 + }, + "r=[47/256,95/512],b=[7/8,1],k=[1,5/4]": { + "floor": "317994361067565962459/4611686018427387904", + "floor_float": 68.95403542151898 + }, + "r=[47/256,95/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "307818011707645387231/18446744073709551616", + "floor_float": 16.686847851179877 + }, + "r=[47/256,95/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1441209884739657221597/9223372036854775808", + "floor_float": 156.25628880423199 + }, + "r=[47/256,95/512],b=[7/8,1],k=[3/4,1]": { + "floor": "177128389433410273171/4611686018427387904", + "floor_float": 38.408596926512374 + }, + "r=[47/256,95/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1996973002158139673479/18446744073709551616", + "floor_float": 108.25612336673775 + }, + "r=[47/256,95/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3927166989937331875053/18446744073709551616", + "floor_float": 212.89214911017072 + }, + "r=[49/128,197/512],b=[0,1/8],k=[1,5/4]": { + "floor": "375256468605774490295/18446744073709551616", + "floor_float": 20.342693925080958 + }, + "r=[49/128,197/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "86375414600143446285/18446744073709551616", + "floor_float": 4.682420607940585 + }, + "r=[49/128,197/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "106531976195345348271/2305843009213693952", + "floor_float": 46.20088001206699 + }, + "r=[49/128,197/512],b=[0,1/8],k=[3/4,1]": { + "floor": "103192960354187464575/9223372036854775808", + "floor_float": 11.188203180122057 + }, + "r=[49/128,197/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "591157587474532581055/18446744073709551616", + "floor_float": 32.04671703105889 + }, + "r=[49/128,197/512],b=[0,1/8],k=[7/4,2]": { + "floor": "578393379457237540827/9223372036854775808", + "floor_float": 62.709535855876965 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "670310329952816914273/18446744073709551616", + "floor_float": 36.33759579871597 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "154273077256963491805/18446744073709551616", + "floor_float": 8.363160275901194 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1525319438576567190137/18446744073709551616", + "floor_float": 82.6877324519542 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "368431854485264107941/18446744073709551616", + "floor_float": 19.97273085228933 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1056916691100674519463/18446744073709551616", + "floor_float": 57.29556863137711 + }, + "r=[49/128,197/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1036348427502126108525/9223372036854775808", + "floor_float": 112.36112165497414 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "253056558643646374539/9223372036854775808", + "floor_float": 27.436447064314684 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "58248419375481059919/9223372036854775808", + "floor_float": 6.315306283074332 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "575277469305445764465/9223372036854775808", + "floor_float": 62.37170820029274 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "278261737647370702705/18446744073709551616", + "floor_float": 15.08459902384354 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "797617481543666983739/18446744073709551616", + "floor_float": 43.238930315103026 + }, + "r=[49/128,197/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1562583294482910564895/18446744073709551616", + "floor_float": 84.70781012839642 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "436765699124883017667/18446744073709551616", + "floor_float": 23.677115992917418 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "100536696206318716605/18446744073709551616", + "floor_float": 5.450105222070296 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "992406879465806960473/18446744073709551616", + "floor_float": 53.798484735319406 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "240178154720854989161/18446744073709551616", + "floor_float": 13.02008385659553 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "344087116932390225365/9223372036854775808", + "floor_float": 37.30599997023713 + }, + "r=[49/128,197/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "673708954636690392029/9223372036854775808", + "floor_float": 73.04367122400379 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "872634391396981075645/18446744073709551616", + "floor_float": 47.30560514690864 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "12548695245813790633/1152921504606846976", + "floor_float": 10.884258117895866 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1987612581286358281039/18446744073709551616", + "floor_float": 107.74869393450955 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "119874733739582151033/4611686018427387904", + "floor_float": 25.99368934931527 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1376566319646661427373/18446744073709551616", + "floor_float": 74.62380971656428 + }, + "r=[49/128,197/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2702441858861054859601/18446744073709551616", + "floor_float": 146.49966671964603 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "291853250136830653711/9223372036854775808", + "floor_float": 31.642792784530712 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "33589122241150135371/4611686018427387904", + "floor_float": 7.283479861147231 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1327588385261305689633/18446744073709551616", + "floor_float": 71.96871057334153 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "320874245043479146087/18446744073709551616", + "floor_float": 17.394627678539308 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "920129135611002994047/18446744073709551616", + "floor_float": 49.88030038983294 + }, + "r=[49/128,197/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "450874076811380196413/4611686018427387904", + "floor_float": 97.76773071925892 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "191608042774473547429/4611686018427387904", + "floor_float": 41.548371248355934 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "176372519038099381251/18446744073709551616", + "floor_float": 9.561173415392417 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "872447390515546450635/9223372036854775808", + "floor_float": 94.59093561762647 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "210601992548357581485/9223372036854775808", + "floor_float": 22.83351378507053 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "302193310393791734007/4611686018427387904", + "floor_float": 65.52772872790707 + }, + "r=[49/128,197/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "296469805268187885475/2305843009213693952", + "floor_float": 128.5732827792495 + }, + "r=[49/128,197/512],b=[7/8,1],k=[1,5/4]": { + "floor": "494802360250682285905/9223372036854775808", + "floor_float": 53.6465793934745 + }, + "r=[49/128,197/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "227645253152125232307/18446744073709551616", + "floor_float": 12.34067390117734 + }, + "r=[49/128,197/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1127593944963270636579/9223372036854775808", + "floor_float": 122.25398048106783 + }, + "r=[49/128,197/512],b=[7/8,1],k=[3/4,1]": { + "floor": "543688535723674826541/18446744073709551616", + "floor_float": 29.473414579353552 + }, + "r=[49/128,197/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "780710994980851228211/9223372036854775808", + "floor_float": 84.64485568415587 + }, + "r=[49/128,197/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3067061160077141308549/18446744073709551616", + "floor_float": 166.2657186450774 + }, + "r=[49/256,99/512],b=[0,1/8],k=[1,5/4]": { + "floor": "124384641244044391893/4611686018427387904", + "floor_float": 26.971619652124602 + }, + "r=[49/256,99/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "120091002064182047325/18446744073709551616", + "floor_float": 6.510146266697369 + }, + "r=[49/256,99/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "563764938739745097003/9223372036854775808", + "floor_float": 61.123517135278895 + }, + "r=[49/256,99/512],b=[0,1/8],k=[3/4,1]": { + "floor": "138477270850145690635/9223372036854775808", + "floor_float": 15.013735789559158 + }, + "r=[49/256,99/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "390630980673409036349/9223372036854775808", + "floor_float": 42.35229578862532 + }, + "r=[49/256,99/512],b=[0,1/8],k=[7/4,2]": { + "floor": "95984773507145610539/1152921504606846976", + "floor_float": 83.25351996958109 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "108528314188683459605/2305843009213693952", + "floor_float": 47.066653607824 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "209762352221978694573/18446744073709551616", + "floor_float": 11.371239899236944 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1967967307370873553367/18446744073709551616", + "floor_float": 106.68372150159747 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "483373666578051730417/18446744073709551616", + "floor_float": 26.20373897131038 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1363395314230723076287/18446744073709551616", + "floor_float": 73.90980808227535 + }, + "r=[49/256,99/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2681035814688536940711/18446744073709551616", + "floor_float": 145.3392427398378 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "165720237898571728401/4611686018427387904", + "floor_float": 35.93484839088922 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "20011257345484683917/2305843009213693952", + "floor_float": 8.678499475256402 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "375597001485124025285/4611686018427387904", + "floor_float": 81.44461699784254 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "369022119711521236099/18446744073709551616", + "floor_float": 20.00472919432186 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "520458546313359237423/9223372036854775808", + "floor_float": 56.428228660159164 + }, + "r=[49/256,99/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1023279306114762653871/9223372036854775808", + "floor_float": 110.94416467490852 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "575497340322900103365/18446744073709551616", + "floor_float": 31.197773331885898 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "69478916242607347665/9223372036854775808", + "floor_float": 7.532919193217329 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "652119619157071450121/9223372036854775808", + "floor_float": 70.70295078105167 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "80092163529542663821/4611686018427387904", + "floor_float": 17.36721953955889 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "903675561617344836447/18446744073709551616", + "floor_float": 48.98835035637918 + }, + "r=[49/256,99/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1776539714590172499507/18446744073709551616", + "floor_float": 96.30641090327215 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "139860254001589225059/2305843009213693952", + "floor_float": 60.654716493159 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "67581778827425681537/4611686018427387904", + "floor_float": 14.654462285025959 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2536359475079879106517/18446744073709551616", + "floor_float": 137.49632265428994 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "622959811872999602983/18446744073709551616", + "floor_float": 33.770719070193365 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1757051401811874034375/18446744073709551616", + "floor_float": 95.24994735065674 + }, + "r=[49/256,99/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1727853424489595342535/9223372036854775808", + "floor_float": 187.33424365681378 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "760189745847432581703/18446744073709551616", + "floor_float": 41.2099686974495 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "45906787783532609071/4611686018427387904", + "floor_float": 9.954447809347414 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1723007534799668897189/18446744073709551616", + "floor_float": 93.40442562193472 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "423209146269408083749/18446744073709551616", + "floor_float": 22.942213790051394 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1193731065440722393781/18446744073709551616", + "floor_float": 64.71229072571336 + }, + "r=[49/256,99/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "146700307861187120829/1152921504606846976", + "floor_float": 127.24223398991312 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "493795106970038892179/9223372036854775808", + "floor_float": 53.53737277396282 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "238622345535652117149/18446744073709551616", + "floor_float": 12.935743271667036 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "279829975527973652693/2305843009213693952", + "floor_float": 121.35690695759783 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "549842835864696136519/18446744073709551616", + "floor_float": 29.80703985850471 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "387714597413002316819/4611686018427387904", + "floor_float": 84.07220176390398 + }, + "r=[49/256,99/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3049932789255110647341/18446744073709551616", + "floor_float": 165.33718780225826 + }, + "r=[49/256,99/512],b=[7/8,1],k=[1,5/4]": { + "floor": "631435931926303784965/9223372036854775808", + "floor_float": 68.46042091799076 + }, + "r=[49/256,99/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "305081843471959839233/18446744073709551616", + "floor_float": 16.538519873909074 + }, + "r=[49/256,99/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "715730374285904763841/4611686018427387904", + "floor_float": 155.19928534292822 + }, + "r=[49/256,99/512],b=[7/8,1],k=[3/4,1]": { + "floor": "351542359721024833873/9223372036854775808", + "floor_float": 38.11429901302158 + }, + "r=[49/256,99/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "991600523204408698359/9223372036854775808", + "floor_float": 107.50954414959827 + }, + "r=[49/256,99/512],b=[7/8,1],k=[7/4,2]": { + "floor": "975209452278269043213/4611686018427387904", + "floor_float": 211.46484135769964 + }, + "r=[5/16,161/512],b=[0,1/8],k=[1,5/4]": { + "floor": "212192744791787224583/9223372036854775808", + "floor_float": 23.00598348889179 + }, + "r=[5/16,161/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "99451140847970797919/18446744073709551616", + "floor_float": 5.391257148176591 + }, + "r=[5/16,161/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "964970887755577916793/18446744073709551616", + "floor_float": 52.31117664449317 + }, + "r=[5/16,161/512],b=[0,1/8],k=[3/4,1]": { + "floor": "117160845610881788525/9223372036854775808", + "floor_float": 12.702604334155682 + }, + "r=[5/16,161/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "668339001795897720573/18446744073709551616", + "floor_float": 36.23072988519529 + }, + "r=[5/16,161/512],b=[0,1/8],k=[7/4,2]": { + "floor": "328269166637487759403/4611686018427387904", + "floor_float": 71.18202872567406 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "750201537860033582261/18446744073709551616", + "floor_float": 40.66850685749074 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "175929412733390393679/18446744073709551616", + "floor_float": 9.537152574482041 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1707519496971173822739/18446744073709551616", + "floor_float": 92.56481740887511 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "207101435154688125677/9223372036854775808", + "floor_float": 22.453982591957867 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "590978623667937234467/9223372036854775808", + "floor_float": 64.07403076732709 + }, + "r=[5/16,161/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1162471507279717865799/9223372036854775808", + "floor_float": 126.0354133645169 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "35579018304675438809/1152921504606846976", + "floor_float": 30.85987915266451 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "133453424135390744847/18446744073709551616", + "floor_float": 7.234524618661005 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "161882828316089890875/2305843009213693952", + "floor_float": 70.20548565936103 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "314309096037969044797/18446744073709551616", + "floor_float": 17.038730237816054 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "896726078463739947747/18446744073709551616", + "floor_float": 48.61161811973969 + }, + "r=[5/16,161/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1762785909443538257969/18446744073709551616", + "floor_float": 95.56081563227599 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "123145964764304969739/4611686018427387904", + "floor_float": 26.703024506056565 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "28865060801082567117/4611686018427387904", + "floor_float": 6.259112325891979 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "35009189376736456907/576460752303423488", + "floor_float": 60.731262686742575 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "135989344875906468505/9223372036854775808", + "floor_float": 14.743994314933829 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "775825249237686162711/18446744073709551616", + "floor_float": 42.057571034630364 + }, + "r=[5/16,161/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "762323306353757780615/9223372036854775808", + "floor_float": 82.6512584885077 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "60765540197958229893/1152921504606846976", + "floor_float": 52.70570455590525 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "228043159379575685099/18446744073709551616", + "floor_float": 12.362244440989704 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1106964759597296328935/9223372036854775808", + "floor_float": 120.01735972202829 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "268386589687022403557/9223372036854775808", + "floor_float": 29.098532360464535 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "766044239685111761087/9223372036854775808", + "floor_float": 83.05468288866047 + }, + "r=[5/16,161/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3015373684822762458527/18446744073709551616", + "floor_float": 163.46373499702298 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "163717266289946399659/4611686018427387904", + "floor_float": 35.500523156989544 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "38387060139075339369/4611686018427387904", + "floor_float": 8.323866799623438 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "745088740274926083605/9223372036854775808", + "floor_float": 80.78268309005627 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "361569988752862474119/18446744073709551616", + "floor_float": 19.600748365570645 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1031666118501078775779/18446744073709551616", + "floor_float": 55.926732347927874 + }, + "r=[5/16,161/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2028703468455276611693/18446744073709551616", + "floor_float": 109.97623539140444 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "855808759512889714011/18446744073709551616", + "floor_float": 46.39348581479998 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "200714505757331027669/18446744073709551616", + "floor_float": 10.88075515957263 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "974174956634115110593/9223372036854775808", + "floor_float": 105.62026043636797 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "59062245270621994421/2305843009213693952", + "floor_float": 25.61416585371203 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1348472358219909162503/18446744073709551616", + "floor_float": 73.10083301593384 + }, + "r=[5/16,161/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "663309497120523121619/4611686018427387904", + "floor_float": 143.83231956166773 + }, + "r=[5/16,161/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1100248345378856320853/18446744073709551616", + "floor_float": 59.644582316666884 + }, + "r=[5/16,161/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "258071935497921491857/18446744073709551616", + "floor_float": 13.990107656219273 + }, + "r=[5/16,161/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2506025773107836900669/18446744073709551616", + "floor_float": 135.85192937540913 + }, + "r=[5/16,161/512],b=[7/8,1],k=[3/4,1]": { + "floor": "303704624409282857883/9223372036854775808", + "floor_float": 32.927721357843865 + }, + "r=[5/16,161/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "433496527153331975479/4611686018427387904", + "floor_float": 93.9995753009128 + }, + "r=[5/16,161/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1706893959405707005321/9223372036854775808", + "floor_float": 185.0618138990052 + }, + "r=[5/32,81/512],b=[0,1/8],k=[1,5/4]": { + "floor": "515414075114774060923/18446744073709551616", + "floor_float": 27.94065299845225 + }, + "r=[5/32,81/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "31347578600182497727/4611686018427387904", + "floor_float": 6.797422564095594 + }, + "r=[5/32,81/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "583005620959410124973/9223372036854775808", + "floor_float": 63.2095960815453 + }, + "r=[5/32,81/512],b=[0,1/8],k=[3/4,1]": { + "floor": "287578302542363788259/18446744073709551616", + "floor_float": 15.589651018806224 + }, + "r=[5/32,81/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "202097267128075304523/4611686018427387904", + "floor_float": 43.82285921472851 + }, + "r=[5/32,81/512],b=[0,1/8],k=[7/4,2]": { + "floor": "793899503103457865665/9223372036854775808", + "floor_float": 86.07475659999315 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "896970925274681612207/18446744073709551616", + "floor_float": 48.62489129195714 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "109204496126860584263/9223372036854775808", + "floor_float": 11.83997519459271 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2029461449273790312895/18446744073709551616", + "floor_float": 110.0173256139112 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "500569205375680995069/18446744073709551616", + "floor_float": 27.135910997382798 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1406853911064182561677/18446744073709551616", + "floor_float": 76.26570333727577 + }, + "r=[5/32,81/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1382020975837422043377/9223372036854775808", + "floor_float": 149.83901444234698 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "171432998439720543285/4611686018427387904", + "floor_float": 37.17360586880982 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "166907641347520887655/18446744073709551616", + "floor_float": 9.048081367670678 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "387850768778239094611/4611686018427387904", + "floor_float": 84.10172922190797 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "382659464847287240923/18446744073709551616", + "floor_float": 20.744011155478468 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "537759130298407336327/9223372036854775808", + "floor_float": 58.30396173434487 + }, + "r=[5/32,81/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "528194116078925332797/4611686018427387904", + "floor_float": 114.53384162936631 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "74469387630918030885/2305843009213693952", + "floor_float": 32.29594874124259 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "144974838595491758523/18446744073709551616", + "floor_float": 7.859101748048376 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "336945759688567417641/4611686018427387904", + "floor_float": 73.0634649328247 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "83107309770299085583/4611686018427387904", + "floor_float": 18.02102516047681 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "934385782652347546163/18446744073709551616", + "floor_float": 50.653154774562175 + }, + "r=[5/32,81/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1835398706656482983581/18446744073709551616", + "floor_float": 99.4971632567022 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "288638645204226193305/4611686018427387904", + "floor_float": 62.58852923873895 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "140548171900640748735/9223372036854775808", + "floor_float": 15.238263331354084 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "20409828829489212411/144115188075855872", + "floor_float": 141.6216368447327 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "20134262101293889879/576460752303423488", + "floor_float": 34.92737713858463 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1810895184998648653763/18446744073709551616", + "floor_float": 98.16882468595372 + }, + "r=[5/32,81/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3558333059573075091697/18446744073709551616", + "floor_float": 192.897621680806 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "785866445285270874337/18446744073709551616", + "floor_float": 42.601905363087575 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "191327696860332658391/18446744073709551616", + "floor_float": 10.371895229631034 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1778017708509252431107/18446744073709551616", + "floor_float": 96.3865331141715 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "438551610053522283617/18446744073709551616", + "floor_float": 23.773930418352233 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "616291087446524260517/9223372036854775808", + "floor_float": 66.81841358929756 + }, + "r=[5/32,81/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2421490906112531535879/18446744073709551616", + "floor_float": 131.26928505305497 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "254915957394682344373/4611686018427387904", + "floor_float": 55.27608696170738 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "248268344407322912077/18446744073709551616", + "floor_float": 13.458653918289947 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "576789491223958699257/4611686018427387904", + "floor_float": 125.07128389036497 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "71131607971476679703/2305843009213693952", + "floor_float": 30.848417558024895 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "799655327610088295729/9223372036854775808", + "floor_float": 86.69880434344655 + }, + "r=[5/32,81/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3142376290140630663655/18446744073709551616", + "floor_float": 170.3485600268706 + }, + "r=[5/32,81/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1302367744480974548741/18446744073709551616", + "floor_float": 70.60149689706594 + }, + "r=[5/32,81/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "317068359734256032109/18446744073709551616", + "floor_float": 17.18831022251479 + }, + "r=[5/32,81/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2947144132595756252915/18446744073709551616", + "floor_float": 159.76500355941133 + }, + "r=[5/32,81/512],b=[7/8,1],k=[3/4,1]": { + "floor": "726750056128853378053/18446744073709551616", + "floor_float": 39.39719948544326 + }, + "r=[5/32,81/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2042833267552566197439/18446744073709551616", + "floor_float": 110.7422133353077 + }, + "r=[5/32,81/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1003587152044310074751/4611686018427387904", + "floor_float": 217.61827410499626 + }, + "r=[51/128,205/512],b=[0,1/8],k=[1,5/4]": { + "floor": "181924505970670715091/9223372036854775808", + "floor_float": 19.724294460175333 + }, + "r=[51/128,205/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "83424171630689212797/18446744073709551616", + "floor_float": 4.522433405989841 + }, + "r=[51/128,205/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "825816929358732013155/18446744073709551616", + "floor_float": 44.76762544430228 + }, + "r=[51/128,205/512],b=[0,1/8],k=[3/4,1]": { + "floor": "199973387351073996273/18446744073709551616", + "floor_float": 10.840579050265985 + }, + "r=[51/128,205/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "573133314054614982001/18446744073709551616", + "floor_float": 31.069619211091524 + }, + "r=[51/128,205/512],b=[0,1/8],k=[7/4,2]": { + "floor": "139987041823581639875/2305843009213693952", + "floor_float": 60.70970194597855 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "651689845916041436525/18446744073709551616", + "floor_float": 35.32817733644579 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "149344472413931186359/18446744073709551616", + "floor_float": 8.095980071994283 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1482271449533313184231/18446744073709551616", + "floor_float": 80.3540962898628 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "357871064354074637727/18446744073709551616", + "floor_float": 19.400229272119375 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1027504389696082785025/18446744073709551616", + "floor_float": 55.70112457734427 + }, + "r=[51/128,205/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1006441585840248150673/9223372036854775808", + "floor_float": 109.11861538477534 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "491424581627185334807/18446744073709551616", + "floor_float": 26.640179950648722 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "112652164823024606767/18446744073709551616", + "floor_float": 6.10688609181592 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "558244462103091102327/9223372036854775808", + "floor_float": 60.52498585901732 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "134976742944577612813/9223372036854775808", + "floor_float": 14.634207793552854 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "774430283825659487143/18446744073709551616", + "floor_float": 41.98194980811729 + }, + "r=[51/128,205/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "757583752933490468683/9223372036854775808", + "floor_float": 82.1373950770212 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "423791307508349387245/18446744073709551616", + "floor_float": 22.973772814051244 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "97160598554221144283/18446744073709551616", + "floor_float": 5.267086601623927 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "240584712359183707643/4611686018427387904", + "floor_float": 52.168493561325434 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "116429879678815206889/9223372036854775808", + "floor_float": 12.623352848999733 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "667701514337538559511/18446744073709551616", + "floor_float": 36.196171620831024 + }, + "r=[51/128,205/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "81592157758480026075/1152921504606846976", + "floor_float": 70.76991575961924 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "53083894136892809901/1152921504606846976", + "floor_float": 46.04293867776777 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "194562306830441850163/18446744073709551616", + "floor_float": 10.547243787467817 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1934055724369057004745/18446744073709551616", + "floor_float": 104.84537090344787 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "466246169671047721749/18446744073709551616", + "floor_float": 25.27525550351975 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "334986631117483647549/4611686018427387904", + "floor_float": 72.63864664223522 + }, + "r=[51/128,205/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1313982356158374565413/9223372036854775808", + "floor_float": 142.46225251545314 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "283573321039007506295/9223372036854775808", + "floor_float": 30.745081072942135 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "64996773273386942027/9223372036854775808", + "floor_float": 7.046964278755389 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "161149602310047904367/2305843009213693952", + "floor_float": 69.8874995678916 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "155744759064716762915/9223372036854775808", + "floor_float": 16.88588061311974 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "223489251897538539025/4611686018427387904", + "floor_float": 48.46150648689429 + }, + "r=[51/128,205/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "875073861764026993547/9223372036854775808", + "floor_float": 94.8756982009838 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "186390158451027429247/4611686018427387904", + "floor_float": 40.41692294450427 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "42707245155619275275/4611686018427387904", + "floor_float": 9.26065759571869 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "848400105837148581359/9223372036854775808", + "floor_float": 91.98372378855684 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "409354683466179678501/18446744073709551616", + "floor_float": 22.1911618565574 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1175879677055251551249/18446744073709551616", + "floor_float": 63.74456502224285 + }, + "r=[51/128,205/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1152449041133024814807/9223372036854775808", + "floor_float": 124.9487754075262 + }, + "r=[51/128,205/512],b=[7/8,1],k=[1,5/4]": { + "floor": "963721628356032031793/18446744073709551616", + "floor_float": 52.243454156743894 + }, + "r=[51/128,205/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "13793645561419850831/1152921504606846976", + "floor_float": 11.964080387349151 + }, + "r=[51/128,205/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2195717479641894088013/18446744073709551616", + "floor_float": 119.0300830796069 + }, + "r=[51/128,205/512],b=[7/8,1],k=[3/4,1]": { + "floor": "2066087918757965303/72057594037927936", + "floor_float": 28.672729728812037 + }, + "r=[51/128,205/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1520792246343454393283/18446744073709551616", + "floor_float": 82.44231286923419 + }, + "r=[51/128,205/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1492214815582328122347/9223372036854775808", + "floor_float": 161.78625448694166 + }, + "r=[51/256,103/512],b=[0,1/8],k=[1,5/4]": { + "floor": "61667183289920445393/2305843009213693952", + "floor_float": 26.743877637597418 + }, + "r=[51/256,103/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "59432543231572780901/9223372036854775808", + "floor_float": 6.443689248800987 + }, + "r=[51/256,103/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "279603954836860474733/4611686018427387904", + "floor_float": 60.6294430539326 + }, + "r=[51/256,103/512],b=[0,1/8],k=[3/4,1]": { + "floor": "68617225223502915839/4611686018427387904", + "floor_float": 14.878988931449802 + }, + "r=[51/256,103/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "193715241905775255061/4611686018427387904", + "floor_float": 42.00529722355931 + }, + "r=[51/256,103/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1523396925201189927039/18446744073709551616", + "floor_float": 82.58351279304338 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "861480315711692229871/18446744073709551616", + "floor_float": 46.70094149240575 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "207758746259885737301/18446744073709551616", + "floor_float": 11.26262420239164 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "976702890590335698423/9223372036854775808", + "floor_float": 105.89433958509139 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "59920138461794916983/2305843009213693952", + "floor_float": 25.986217718364113 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1353147069181816555751/18446744073709551616", + "floor_float": 73.35424960496593 + }, + "r=[51/256,103/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2661306854821634840577/18446744073709551616", + "floor_float": 144.26973368240908 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "657528501310852002973/18446744073709551616", + "floor_float": 35.64469147961818 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "79254834414676772299/9223372036854775808", + "floor_float": 8.592826365237148 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "745400221638073533517/9223372036854775808", + "floor_float": 80.81645396711758 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "365846031303521402011/18446744073709551616", + "floor_float": 19.83255309672389 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "258193094464657182839/4611686018427387904", + "floor_float": 55.98670278786728 + }, + "r=[51/256,103/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2030843196427854249275/18446744073709551616", + "floor_float": 110.09223027722427 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "142686481847283357177/4611686018427387904", + "floor_float": 30.94019872062762 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "137563098788344736755/18446744073709551616", + "floor_float": 7.457310528008072 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "646979134318076485307/9223372036854775808", + "floor_float": 70.14561829804495 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "39693935932408289909/2305843009213693952", + "floor_float": 17.214500628967 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "56027885613054108279/1152921504606846976", + "floor_float": 48.59644424115408 + }, + "r=[51/256,103/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "220324264429428743289/2305843009213693952", + "floor_float": 95.55041845826295 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1110505052625520080079/18446744073709551616", + "floor_float": 60.20059953063591 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "133916279376063855801/9223372036854775808", + "floor_float": 14.519232103070419 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2518348512140322958747/18446744073709551616", + "floor_float": 136.5199463969088 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "308982252825413376233/9223372036854775808", + "floor_float": 33.499922977277855 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1744353352233239926773/18446744073709551616", + "floor_float": 94.56158470368256 + }, + "r=[51/256,103/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "214459048556242940485/1152921504606846976", + "floor_float": 186.0135730830823 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "94271024428426776641/2305843009213693952", + "floor_float": 40.883539795093746 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "45461260792090085989/4611686018427387904", + "floor_float": 9.85783954294283 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "854995686582346841967/9223372036854775808", + "floor_float": 92.69881808583159 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "13113524803879723359/576460752303423488", + "floor_float": 22.74833933009431 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1184576287396623310187/18446744073709551616", + "floor_float": 64.21600921351161 + }, + "r=[51/256,103/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "291194911242783641971/2305843009213693952", + "floor_float": 126.28566215445987 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "980058798277671956537/18446744073709551616", + "floor_float": 53.12909391280923 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "236388690310828702083/18446744073709551616", + "floor_float": 12.814656579300179 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1111205676328986322087/9223372036854775808", + "floor_float": 120.47716083541113 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "272678906162459228375/9223372036854775808", + "floor_float": 29.56390624523093 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1539428617627612619419/18446744073709551616", + "floor_float": 83.45259258091073 + }, + "r=[51/256,103/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3027961550121790906235/18446744073709551616", + "floor_float": 164.14612454223106 + }, + "r=[51/256,103/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1253595629225846691143/18446744073709551616", + "floor_float": 67.9575552312498 + }, + "r=[51/256,103/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "302305761872548587157/18446744073709551616", + "floor_float": 16.388028188855138 + }, + "r=[51/256,103/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2843016826951259840451/18446744073709551616", + "floor_float": 154.12025100967006 + }, + "r=[51/256,103/512],b=[7/8,1],k=[3/4,1]": { + "floor": "697563499301367147781/18446744073709551616", + "floor_float": 37.81499306945665 + }, + "r=[51/256,103/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1969156779521289800247/18446744073709551616", + "floor_float": 106.74820291607709 + }, + "r=[51/256,103/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3873910203018711199405/18446744073709551616", + "floor_float": 210.0050929063324 + }, + "r=[53/128,213/512],b=[0,1/8],k=[1,5/4]": { + "floor": "88083849524268267567/4611686018427387904", + "floor_float": 19.100140203019585 + }, + "r=[53/128,213/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "2514428810623844261/576460752303423488", + "floor_float": 4.361838686461624 + }, + "r=[53/128,213/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "399448653234048672733/9223372036854775808", + "floor_float": 43.30830976327645 + }, + "r=[53/128,213/512],b=[0,1/8],k=[3/4,1]": { + "floor": "96748013553454703099/9223372036854775808", + "floor_float": 10.489440647831263 + }, + "r=[53/128,213/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "277424179656449192149/9223372036854775808", + "floor_float": 30.07838982835311 + }, + "r=[53/128,213/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1082375167106947426943/18446744073709551616", + "floor_float": 58.67567538108567 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "632801115599568819549/18446744073709551616", + "floor_float": 34.304217214215164 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "144395070253915230011/18446744073709551616", + "floor_float": 7.827672443274596 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "719212808754012236615/9223372036854775808", + "floor_float": 77.97720897305017 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "347188918856062583323/18446744073709551616", + "floor_float": 18.82114900433183 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "498825197545383779015/9223372036854775808", + "floor_float": 54.0827362869216 + }, + "r=[53/128,213/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "121985924675142209355/1152921504606846976", + "floor_float": 105.80592363635382 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "476530646496012250633/18446744073709551616", + "floor_float": 25.832778109344922 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "108794813826425926375/18446744073709551616", + "floor_float": 5.897778675288349 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1081877753715861036285/18446744073709551616", + "floor_float": 58.648710547123706 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "130790777842620519385/9223372036854775808", + "floor_float": 14.180364547803814 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "750852807218486434089/18446744073709551616", + "floor_float": 40.70381224015613 + }, + "r=[53/128,213/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "733447566536524657597/9223372036854775808", + "floor_float": 79.52054450431066 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "205334273229393992393/9223372036854775808", + "floor_float": 22.26238651210411 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "93771528200196358051/18446744073709551616", + "floor_float": 5.083364729596932 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "931745034511948921827/18446744073709551616", + "floor_float": 50.50999953102182 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "225487993712329814729/18446744073709551616", + "floor_float": 12.223728632615288 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "80860994957933533159/2305843009213693952", + "floor_float": 35.06786656109238 + }, + "r=[53/128,213/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "631432584656151942973/9223372036854775808", + "floor_float": 68.46005800623371 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "103216210532029147115/2305843009213693952", + "floor_float": 44.762895877818885 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "47075985156753985217/4611686018427387904", + "floor_float": 10.207977075769605 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "939698521015185402249/9223372036854775808", + "floor_float": 101.88231779660795 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "452843182514692885951/18446744073709551616", + "floor_float": 24.54867811388399 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "651327189892292104331/9223372036854775808", + "floor_float": 70.61703542801018 + }, + "r=[53/128,213/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2551952914168675946815/18446744073709551616", + "floor_float": 138.34164468111962 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "550324681299349893553/18446744073709551616", + "floor_float": 29.8331607518574 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "125614445410334651541/18446744073709551616", + "floor_float": 6.809572730472332 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1250177210161188020613/18446744073709551616", + "floor_float": 67.77224236243136 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "302011714064103900139/18446744073709551616", + "floor_float": 16.37208782521862 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "867373244275326093895/18446744073709551616", + "floor_float": 47.02039778995543 + }, + "r=[53/128,213/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1695708000270856432483/18446744073709551616", + "floor_float": 91.92451488973565 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "724405960124213046117/18446744073709551616", + "floor_float": 39.27012578640598 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "82626142474238833423/9223372036854775808", + "floor_float": 8.958344317466656 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1647738053533833300773/18446744073709551616", + "floor_float": 89.32405886642093 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "397365615098008591387/18446744073709551616", + "floor_float": 21.541233158014983 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1142449776278801604797/18446744073709551616", + "floor_float": 61.93232646985276 + }, + "r=[53/128,213/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2236604052622369669291/18446744073709551616", + "floor_float": 121.24654864215283 + }, + "r=[53/128,213/512],b=[7/8,1],k=[1,5/4]": { + "floor": "14647559273658156919/288230376151711744", + "floor_float": 50.81892987555319 + }, + "r=[53/128,213/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "213704987759404723719/18446744073709551616", + "floor_float": 11.584970599986736 + }, + "r=[53/128,213/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2135051497657137169459/18446744073709551616", + "floor_float": 115.7413736064149 + }, + "r=[53/128,213/512],b=[7/8,1],k=[3/4,1]": { + "floor": "513985647001887589763/18446744073709551616", + "floor_float": 27.863217755290705 + }, + "r=[53/128,213/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "739688741801716151699/9223372036854775808", + "floor_float": 80.197214082449 + }, + "r=[53/128,213/512],b=[7/8,1],k=[7/4,2]": { + "floor": "90628010712664786573/576460752303423488", + "floor_float": 157.21453776433717 + }, + "r=[53/256,107/512],b=[0,1/8],k=[1,5/4]": { + "floor": "244533666748844652311/9223372036854775808", + "floor_float": 26.51239327349437 + }, + "r=[53/256,107/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "117624006719593483957/18446744073709551616", + "floor_float": 6.376410181091641 + }, + "r=[53/256,107/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1109124994436678272199/18446744073709551616", + "floor_float": 60.12578642631098 + }, + "r=[53/256,107/512],b=[0,1/8],k=[3/4,1]": { + "floor": "271945343953971847451/18446744073709551616", + "floor_float": 14.7421866356107 + }, + "r=[53/256,107/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "768344628670771078875/18446744073709551616", + "floor_float": 41.65204578112091 + }, + "r=[53/256,107/512],b=[0,1/8],k=[7/4,2]": { + "floor": "94422526152549110831/1152921504606846976", + "floor_float": 81.89848638893048 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "53412757402210437497/1152921504606846976", + "floor_float": 46.32818209113421 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "102863124536524200277/9223372036854775808", + "floor_float": 11.152442309114653 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "484631187213886396945/4611686018427387904", + "floor_float": 105.08763720630498 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "118819736036057219905/4611686018427387904", + "floor_float": 25.764923188889483 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "671343234364914065455/9223372036854775808", + "floor_float": 72.78717931818849 + }, + "r=[53/256,107/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1320562783649981635281/9223372036854775808", + "floor_float": 143.17570389368151 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "652069613981282521315/18446744073709551616", + "floor_float": 35.348764604514535 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "39226804050204876915/4611686018427387904", + "floor_float": 8.505957234179062 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "739471901362251171935/9223372036854775808", + "floor_float": 80.17370419489394 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "90653446880664668179/4611686018427387904", + "floor_float": 19.65733281026318 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1024450771906976977141/18446744073709551616", + "floor_float": 55.53558762529982 + }, + "r=[53/256,107/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "125921441526923928605/1152921504606846976", + "floor_float": 109.21944037279788 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "70738851776968832713/2305843009213693952", + "floor_float": 30.67808671028788 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "68073867976312876967/9223372036854775808", + "floor_float": 7.380583554940983 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1283440450912576760825/18446744073709551616", + "floor_float": 69.57544625675956 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "157345957086632938777/9223372036854775808", + "floor_float": 17.059482850513838 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "889069250403795817719/18446744073709551616", + "floor_float": 48.19654063889272 + }, + "r=[53/256,107/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "874151566142392191489/9223372036854775808", + "floor_float": 94.77570270931878 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1101978516208431873823/18446744073709551616", + "floor_float": 59.73837506527673 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "265304558050580759255/18446744073709551616", + "floor_float": 14.382188910437314 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2499959594791964236643/18446744073709551616", + "floor_float": 135.52308118997144 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "76611072981154759785/2305843009213693952", + "floor_float": 33.22475670504541 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "216426000898660735945/2305843009213693952", + "floor_float": 93.85981614267108 + }, + "r=[53/256,107/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "851605737332295079679/4611686018427387904", + "floor_float": 184.66255810335883 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "748027655358478857549/18446744073709551616", + "floor_float": 40.550660450945045 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "180036834939090076525/18446744073709551616", + "floor_float": 9.759816378418781 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "848339690315150618127/9223372036854775808", + "floor_float": 91.97717352453664 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "207996753113784576709/9223372036854775808", + "floor_float": 22.551053159589635 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "293806352204519488585/4611686018427387904", + "floor_float": 63.70909707003626 + }, + "r=[53/256,107/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2311492391547722479867/18446744073709551616", + "floor_float": 125.30625362998775 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "972388173528974560389/18446744073709551616", + "floor_float": 52.7132685119663 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "234117502501796279507/18446744073709551616", + "floor_float": 12.691535241466402 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2205844021225786901637/18446744073709551616", + "floor_float": 119.57904399885797 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "540797659713736234253/18446744073709551616", + "floor_float": 29.316699876835468 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1527771473356841958789/18446744073709551616", + "floor_float": 82.8206575237434 + }, + "r=[53/256,107/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3005510489832487612111/18446744073709551616", + "floor_float": 162.92905012521777 + }, + "r=[53/256,107/512],b=[7/8,1],k=[1,5/4]": { + "floor": "311036438070210244949/4611686018427387904", + "floor_float": 67.445276375575 + }, + "r=[53/256,107/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "74873105410342372767/4611686018427387904", + "floor_float": 16.235516709325875 + }, + "r=[53/256,107/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "705664342591029352275/4611686018427387904", + "floor_float": 153.01656265654987 + }, + "r=[53/256,107/512],b=[7/8,1],k=[3/4,1]": { + "floor": "345976187490435758005/9223372036854775808", + "floor_float": 37.51081341053826 + }, + "r=[53/256,107/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1954819053287001115075/18446744073709551616", + "floor_float": 105.97095321949118 + }, + "r=[53/256,107/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1923167312824008542459/9223372036854775808", + "floor_float": 208.51021786168997 + }, + "r=[55/128,221/512],b=[0,1/8],k=[1,5/4]": { + "floor": "42587034043908180131/2305843009213693952", + "floor_float": 18.469181932047753 + }, + "r=[55/128,221/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "9687410035876077901/2305843009213693952", + "floor_float": 4.201244402661889 + }, + "r=[55/128,221/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "192907451535595924139/4611686018427387904", + "floor_float": 41.83013560870705 + }, + "r=[55/128,221/512],b=[0,1/8],k=[3/4,1]": { + "floor": "93490250928521229417/9223372036854775808", + "floor_float": 10.136233316291767 + }, + "r=[55/128,221/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "536343681009774876607/18446744073709551616", + "floor_float": 29.075249207483516 + }, + "r=[55/128,221/512],b=[0,1/8],k=[7/4,2]": { + "floor": "522135386497488710335/9223372036854775808", + "floor_float": 56.61003203721358 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "76708127305489809525/2305843009213693952", + "floor_float": 33.26684730876268 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "69714285446887082079/9223372036854775808", + "floor_float": 7.558437973478956 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "696924260547135056963/9223372036854775808", + "floor_float": 75.56067973430575 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "168209307648323386845/9223372036854775808", + "floor_float": 18.23728967845948 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "967336812035560454897/18446744073709551616", + "floor_float": 52.439433656707834 + }, + "r=[55/128,221/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "236200086772670449875/2305843009213693952", + "floor_float": 102.43545888807759 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "461478557537076282245/18446744073709551616", + "floor_float": 25.01680273185875 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "104927001161906649129/18446744073709551616", + "floor_float": 5.688104130606412 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1046705900362966180081/18446744073709551616", + "floor_float": 56.7420405563462 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "253141585856229243223/18446744073709551616", + "floor_float": 13.72283286658748 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "726978736916608488051/18446744073709551616", + "floor_float": 39.40959629578774 + }, + "r=[55/128,221/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1417793574234760152649/18446744073709551616", + "floor_float": 76.85874366606576 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "198702160962621416325/9223372036854775808", + "floor_float": 21.543331459323852 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "5648878640384882641/1152921504606846976", + "floor_float": 4.899621195209802 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "450361931204834736645/9223372036854775808", + "floor_float": 48.82833842170491 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "109030377209515716431/9223372036854775808", + "floor_float": 11.821097183747098 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "312912378472747325365/9223372036854775808", + "floor_float": 33.9260280537759 + }, + "r=[55/128,221/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1219509955374927689929/18446744073709551616", + "floor_float": 66.10976714925985 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "801788691223295509011/18446744073709551616", + "floor_float": 43.46505204493032 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "91009990799046512805/9223372036854775808", + "floor_float": 9.8673229742212 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "911889984824563277817/9223372036854775808", + "floor_float": 98.86731026145652 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "439307968472992824987/18446744073709551616", + "floor_float": 23.814932690430616 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "19762158546710150307/288230376151711744", + "floor_float": 68.5637607339076 + }, + "r=[55/128,221/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2474444230618369666733/18446744073709551616", + "floor_float": 134.13989052653295 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "533319718790785210911/18446744073709551616", + "floor_float": 28.91131988711638 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "121221575532113049205/18446744073709551616", + "floor_float": 6.571434777201632 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1210507337200553832661/18446744073709551616", + "floor_float": 65.62173424012418 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "18278566112083070337/1152921504606846976", + "floor_float": 15.854128870912309 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "840406795285350137305/18446744073709551616", + "floor_float": 45.55854366099786 + }, + "r=[55/128,221/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1640341188161906944167/18446744073709551616", + "floor_float": 88.92307399112966 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "87871834993997335671/2305843009213693952", + "floor_float": 38.10833376031187 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "159654957411947857769/18446744073709551616", + "floor_float": 8.654912583705729 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1597855850228671044653/18446744073709551616", + "floor_float": 86.6199392068299 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "385268066590730200095/18446744073709551616", + "floor_float": 20.885423739347985 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1108492584595955015315/18446744073709551616", + "floor_float": 60.09150342015031 + }, + "r=[55/128,221/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "541757108549130546861/4611686018427387904", + "floor_float": 117.47484680968651 + }, + "r=[55/128,221/512],b=[7/8,1],k=[1,5/4]": { + "floor": "7115617916478464079/144115188075855872", + "floor_float": 49.37451778318547 + }, + "r=[55/128,221/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "206678140509301096103/18446744073709551616", + "floor_float": 11.204044447272429 + }, + "r=[55/128,221/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2073275393176648101547/18446744073709551616", + "floor_float": 112.39248427214301 + }, + "r=[55/128,221/512],b=[7/8,1],k=[3/4,1]": { + "floor": "498894014287930087645/18446744073709551616", + "floor_float": 27.045098706549403 + }, + "r=[55/128,221/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1437270156507815353749/18446744073709551616", + "floor_float": 77.91457130671772 + }, + "r=[55/128,221/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1407015875629856577899/9223372036854775808", + "floor_float": 152.54896690794848 + }, + "r=[55/256,111/512],b=[0,1/8],k=[1,5/4]": { + "floor": "242359978690674238927/9223372036854775808", + "floor_float": 26.276721541996956 + }, + "r=[55/256,111/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "116367595591935361863/18446744073709551616", + "floor_float": 6.308299997384546 + }, + "r=[55/256,111/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1099624663140883995619/18446744073709551616", + "floor_float": 59.61077243479937 + }, + "r=[55/256,111/512],b=[0,1/8],k=[3/4,1]": { + "floor": "134691684490682426851/9223372036854775808", + "floor_float": 14.603301694053002 + }, + "r=[55/256,111/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "95211771891143213153/2305843009213693952", + "floor_float": 41.2915239722287 + }, + "r=[55/256,111/512],b=[0,1/8],k=[7/4,2]": { + "floor": "374455789395942403039/4611686018427387904", + "floor_float": 81.19715607257105 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "105950676083197402377/2305843009213693952", + "floor_float": 45.94878127428424 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "203667186875230358737/18446744073709551616", + "floor_float": 11.040820323706798 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "961669005381833318241/9223372036854775808", + "floor_float": 104.2643624846958 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "235565998305582083895/9223372036854775808", + "floor_float": 25.540116712662876 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1332023999969848923957/18446744073709551616", + "floor_float": 72.20916572850709 + }, + "r=[55/256,111/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2620504577862203967131/18446744073709551616", + "floor_float": 142.05783781632056 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "646508474795439611883/18446744073709551616", + "floor_float": 35.04729464517528 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "155282705254316714649/18446744073709551616", + "floor_float": 8.417892319307821 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "183354250726250843077/2305843009213693952", + "floor_float": 79.51723078874122 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "359327683257940022507/18446744073709551616", + "floor_float": 19.47919274112209 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1015959759658010293467/18446744073709551616", + "floor_float": 55.075288928953285 + }, + "r=[55/256,111/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1998282763345219392399/18446744073709551616", + "floor_float": 108.3271256629612 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "560983431114870520091/18446744073709551616", + "floor_float": 30.410972737155745 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "67356716205718729829/9223372036854775808", + "floor_float": 7.302829804172983 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "636344548997773771903/9223372036854775808", + "floor_float": 68.99261424726949 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "77946121795087093191/4611686018427387904", + "floor_float": 16.90187091741063 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "881538816407541556419/18446744073709551616", + "floor_float": 47.78831499396784 + }, + "r=[55/256,111/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1733681290368544085257/18446744073709551616", + "floor_float": 93.98305107075241 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "546647061540951188433/9223372036854775808", + "floor_float": 59.26759317055165 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "32842817295370217883/2305843009213693952", + "floor_float": 14.243301544873956 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1240582258980633274433/9223372036854775808", + "floor_float": 134.50419803337772 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "75966173261119797587/2305843009213693952", + "floor_float": 32.94507603404653 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1718198317537632629387/18446744073709551616", + "floor_float": 93.143717431762 + }, + "r=[55/256,111/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3380918552077863638687/18446744073709551616", + "floor_float": 183.27996195796828 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "370887502373513025305/9223372036854775808", + "floor_float": 40.21170358210855 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "22275523586843832877/2305843009213693952", + "floor_float": 9.660468426443272 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "420772734450354749233/4611686018427387904", + "floor_float": 91.24054256274817 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "412294974830252767449/18446744073709551616", + "floor_float": 22.350555370790822 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "582845836412572104441/9223372036854775808", + "floor_float": 63.19227220626416 + }, + "r=[55/256,111/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2293031391492598654279/18446744073709551616", + "floor_float": 124.30548081168673 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "482289923588882828425/9223372036854775808", + "floor_float": 52.28997829229347 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "231811279135655118427/18446744073709551616", + "floor_float": 12.566514622276049 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2188923731953480466519/18446744073709551616", + "floor_float": 118.66179327945207 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "268082205112781010523/9223372036854775808", + "floor_float": 29.065530918798178 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1515887354238086382733/18446744073709551616", + "floor_float": 82.17641813541184 + }, + "r=[55/256,111/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2982537450645277848513/18446744073709551616", + "floor_float": 161.6836791754494 + }, + "r=[55/256,111/512],b=[7/8,1],k=[1,5/4]": { + "floor": "617258838182558450815/9223372036854775808", + "floor_float": 66.92333733434083 + }, + "r=[55/256,111/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "296640207128405281417/18446744073709551616", + "floor_float": 16.08089785075835 + }, + "r=[55/256,111/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2801850607396653776183/18446744073709551616", + "floor_float": 151.8886257759641 + }, + "r=[55/256,111/512],b=[7/8,1],k=[3/4,1]": { + "floor": "686241963611416831301/18446744073709551616", + "floor_float": 37.20125138991083 + }, + "r=[55/256,111/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "242523489942587293491/2305843009213693952", + "floor_float": 105.1777978698078 + }, + "r=[55/256,111/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3818122991258597672651/18446744073709551616", + "floor_float": 206.9808620969712 + }, + "r=[57/128,229/512],b=[0,1/8],k=[1,5/4]": { + "floor": "328971521090424025091/18446744073709551616", + "floor_float": 17.833581892604933 + }, + "r=[57/128,229/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "37271030519585182747/9223372036854775808", + "floor_float": 4.04093322601078 + }, + "r=[57/128,229/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "372022486415390988779/9223372036854775808", + "floor_float": 40.3347587985026 + }, + "r=[57/128,229/512],b=[0,1/8],k=[3/4,1]": { + "floor": "22553551222591625749/2305843009213693952", + "floor_float": 9.781043693118779 + }, + "r=[57/128,229/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "517638444260683679935/18446744073709551616", + "floor_float": 28.061236291472497 + }, + "r=[57/128,229/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1005636087968991071491/18446744073709551616", + "floor_float": 54.515641565290196 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "594323982718120338145/18446744073709551616", + "floor_float": 32.218367661161174 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "33613829778668610309/4611686018427387904", + "floor_float": 7.28883745431809 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "674308896686619538119/9223372036854775808", + "floor_float": 73.10871707139364 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "162785192456982039023/9223372036854775808", + "floor_float": 17.649205931033087 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "936626698977867307259/18446744073709551616", + "floor_float": 50.77463509198652 + }, + "r=[57/128,229/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "913201665008312712929/9223372036854775808", + "floor_float": 99.00952291193924 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "446291777492319607439/18446744073709551616", + "floor_float": 24.193525735979513 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "101058590981391104291/18446744073709551616", + "floor_float": 5.478397194517412 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "505539119478644596697/9223372036854775808", + "floor_float": 54.81066116151555 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "244649300896292443245/18446744073709551616", + "floor_float": 13.262465176441006 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "702808705889479423971/18446744073709551616", + "floor_float": 38.099336288354976 + }, + "r=[57/128,229/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1367948017959976975955/18446744073709551616", + "floor_float": 74.15661064597235 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "192009311349202519925/9223372036854775808", + "floor_float": 20.8176912502251 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "21747811485736537385/4611686018427387904", + "floor_float": 4.715804891928152 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "869280272244307547969/18446744073709551616", + "floor_float": 47.12377798330345 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "210588269996688251257/18446744073709551616", + "floor_float": 11.416012991518668 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "604538970024990699989/18446744073709551616", + "floor_float": 32.77212323266221 + }, + "r=[57/128,229/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1175574861862965824321/18446744073709551616", + "floor_float": 63.72804095755872 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "777564125174211342595/18446744073709551616", + "floor_float": 42.15183568803353 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "175719392951702381891/18446744073709551616", + "floor_float": 9.525767379303488 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "883634140183341083737/9223372036854775808", + "floor_float": 95.80380544691391 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "425662774143785491365/18446744073709551616", + "floor_float": 23.075225223644942 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1226371842803486671907/18446744073709551616", + "floor_float": 66.48175081212959 + }, + "r=[57/128,229/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1197792546444068431237/9223372036854775808", + "floor_float": 129.86492810416036 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "64517297571680222811/2305843009213693952", + "floor_float": 27.979917676043783 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "116824106737556005127/18446744073709551616", + "floor_float": 6.333047516176834 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1170267032460306962135/18446744073709551616", + "floor_float": 63.440302949081456 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "282843443743191489857/18446744073709551616", + "floor_float": 15.332973808982489 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "813116374427190893195/18446744073709551616", + "floor_float": 44.079126981874865 + }, + "r=[57/128,229/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1584129419996536877725/18446744073709551616", + "floor_float": 85.87582793292236 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "681297473853974559563/18446744073709551616", + "floor_float": 36.933210063068266 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "154045950674464874429/18446744073709551616", + "floor_float": 8.350847719192483 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1547198710281497013081/18446744073709551616", + "floor_float": 83.87381014769848 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "186538347814342098351/9223372036854775808", + "floor_float": 20.224528195216635 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "537037655244646549921/9223372036854775808", + "floor_float": 58.22573925227672 + }, + "r=[57/128,229/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2096290240759353558729/18446744073709551616", + "floor_float": 113.64012165957261 + }, + "r=[57/128,229/512],b=[7/8,1],k=[1,5/4]": { + "floor": "883836294946951444317/18446744073709551616", + "floor_float": 47.91286155515119 + }, + "r=[57/128,229/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "24953566521533394035/2305843009213693952", + "floor_float": 10.821884413563224 + }, + "r=[57/128,229/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2010479919994478487527/18446744073709551616", + "floor_float": 108.98833484982484 + }, + "r=[57/128,229/512],b=[7/8,1],k=[3/4,1]": { + "floor": "120916607519131500951/4611686018427387904", + "floor_float": 26.21960971236389 + }, + "r=[57/128,229/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "174317106550720956735/2305843009213693952", + "floor_float": 75.59799424947153 + }, + "r=[57/128,229/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2726396018659822671883/18446744073709551616", + "floor_float": 147.79822432434048 + }, + "r=[57/256,115/512],b=[0,1/8],k=[1,5/4]": { + "floor": "240147350464987738721/9223372036854775808", + "floor_float": 26.03682790907775 + }, + "r=[57/256,115/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "57545280962916087041/9223372036854775808", + "floor_float": 6.2390718636282365 + }, + "r=[57/256,115/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1089927965163824484921/18446744073709551616", + "floor_float": 59.085113384166185 + }, + "r=[57/256,115/512],b=[0,1/8],k=[3/4,1]": { + "floor": "16673784853970835153/1152921504606846976", + "floor_float": 14.462203009784863 + }, + "r=[57/256,115/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "188728647121228527025/4611686018427387904", + "floor_float": 40.92400184381722 + }, + "r=[57/256,115/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1484599409951051427173/18446744073709551616", + "floor_float": 80.4802952769814 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "840484584929138755267/18446744073709551616", + "floor_float": 45.56276064603748 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "201581932751218235363/18446744073709551616", + "floor_float": 10.927778471134884 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1907828973310141190947/18446744073709551616", + "floor_float": 103.42361587968223 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "466921628829322887153/18446744073709551616", + "floor_float": 25.31187221786111 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1321154369154677762079/18446744073709551616", + "floor_float": 71.61992186131089 + }, + "r=[57/256,115/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "162463299938828670925/1152921504606846976", + "floor_float": 140.91445019427374 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "640851918998104921653/18446744073709551616", + "floor_float": 34.740652140962496 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "153637518482154419171/18446744073709551616", + "floor_float": 8.328706565681683 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "45452373451809504141/576460752303423488", + "floor_float": 78.84729926571893 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "355991089209318346645/18446744073709551616", + "floor_float": 19.2983156153112 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1007311022920310778871/18446744073709551616", + "floor_float": 54.60643997093983 + }, + "r=[57/256,115/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1981457192240562975985/18446744073709551616", + "floor_float": 107.41500962571232 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "277984899163469647517/9223372036854775808", + "floor_float": 30.139183159119767 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "66630350980951937211/9223372036854775808", + "floor_float": 7.224077128701976 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "157714919476629510741/2305843009213693952", + "floor_float": 68.39794333197524 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "308831624518152545173/18446744073709551616", + "floor_float": 16.74179591174043 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "436932747354722521053/9223372036854775808", + "floor_float": 47.37234339120502 + }, + "r=[57/256,115/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "859364227677490580745/9223372036854775808", + "floor_float": 93.1724562604263 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1084452007669746342735/18446744073709551616", + "floor_float": 58.7882611335903 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "260147309246300351391/18446744073709551616", + "floor_float": 14.10261389255486 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1230985959836083946813/9223372036854775808", + "floor_float": 133.46376519534363 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "602487016541739225489/18446744073709551616", + "floor_float": 32.66088661144319 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1704728739864003888821/18446744073709551616", + "floor_float": 92.41353016295147 + }, + "r=[57/256,115/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3354851596908483175413/18446744073709551616", + "floor_float": 181.86686948673207 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "1436360263591081825/36028797018963968", + "floor_float": 39.86700590738695 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "44087084468411926481/4611686018427387904", + "floor_float": 9.55986255184083 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1669219671939458261211/18446744073709551616", + "floor_float": 90.48857973361508 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "12766880103609674855/576460752303423488", + "floor_float": 22.147006630712916 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1155976892175134177595/18446744073709551616", + "floor_float": 62.66563289196611 + }, + "r=[57/256,115/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1137078262485709139181/9223372036854775808", + "floor_float": 123.28227224730485 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "119578920247328672947/2305843009213693952", + "floor_float": 51.85909004624985 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "28684471698271476793/2305843009213693952", + "floor_float": 12.439906612745961 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2171643967034406903997/18446744073709551616", + "floor_float": 117.72505534618716 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "66432286908689129831/2305843009213693952", + "floor_float": 28.810411915832436 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1503767186287932464937/18446744073709551616", + "floor_float": 81.51938251428953 + }, + "r=[57/256,115/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2959050196960546932875/18446744073709551616", + "floor_float": 160.41043260191424 + }, + "r=[57/256,115/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1224716606069704804765/18446744073709551616", + "floor_float": 66.39202024899238 + }, + "r=[57/256,115/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "2294924176816363697/144115188075855872", + "floor_float": 15.924235380440381 + }, + "r=[57/256,115/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "695153331937152630365/4611686018427387904", + "floor_float": 150.73735053935957 + }, + "r=[57/256,115/512],b=[7/8,1],k=[3/4,1]": { + "floor": "680421587863701722183/18446744073709551616", + "floor_float": 36.885728188393095 + }, + "r=[57/256,115/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1925272046583037832053/18446744073709551616", + "floor_float": 104.36920677654714 + }, + "r=[57/256,115/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3789297455651130866895/18446744073709551616", + "floor_float": 205.41822668053751 + }, + "r=[59/128,237/512],b=[0,1/8],k=[1,5/4]": { + "floor": "317166514363213208797/18446744073709551616", + "floor_float": 17.193631195612536 + }, + "r=[59/128,237/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "71589865817385087197/18446744073709551616", + "floor_float": 3.8808944023577334 + }, + "r=[59/128,237/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "179038894694234134181/4611686018427387904", + "floor_float": 38.82287171737842 + }, + "r=[59/128,237/512],b=[0,1/8],k=[3/4,1]": { + "floor": "173867202665641919647/18446744073709551616", + "floor_float": 9.425359942703324 + }, + "r=[59/128,237/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "249402823057003764177/9223372036854775808", + "floor_float": 27.040308258242135 + }, + "r=[59/128,237/512],b=[0,1/8],k=[7/4,2]": { + "floor": "483319127778901856661/9223372036854775808", + "floor_float": 52.401564834168454 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "574809304238460343345/18446744073709551616", + "floor_float": 31.160474821011 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "129481946135180794421/18446744073709551616", + "floor_float": 7.019230364870704 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "651397332388148603075/9223372036854775808", + "floor_float": 70.62464029264929 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "314661228140063209993/18446744073709551616", + "floor_float": 17.057819357320675 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "113195699609884255417/2305843009213693952", + "floor_float": 49.090809373221234 + }, + "r=[59/128,237/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "220287827342383089373/2305843009213693952", + "floor_float": 95.53461639068938 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "430982015012524197079/18446744073709551616", + "floor_float": 23.36358184893795 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "97193504650649924445/18446744073709551616", + "floor_float": 5.2688704446857315 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "975017462903778621059/18446744073709551616", + "floor_float": 52.85580257457907 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "59031337224839963093/4611686018427387904", + "floor_float": 12.800380812779183 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "678409926404422386855/18446744073709551616", + "floor_float": 36.776675802170296 + }, + "r=[59/128,237/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "658749627167441200341/9223372036854775808", + "floor_float": 71.42177768989558 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "370555919811171722349/18446744073709551616", + "floor_float": 20.087876664331837 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "41804936736003087891/9223372036854775808", + "floor_float": 4.532500322979362 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "418768154482853116945/9223372036854775808", + "floor_float": 45.402934285805465 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "203082986760646007693/18446744073709551616", + "floor_float": 11.009150772036866 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "583042778276898637985/18446744073709551616", + "floor_float": 31.60681234298989 + }, + "r=[59/128,237/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "141386202388909253237/2305843009213693952", + "floor_float": 61.316491115812255 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "188276414088634376669/4611686018427387904", + "floor_float": 40.82593943653556 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "169413984762313923365/18446744073709551616", + "floor_float": 9.183950516436346 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "854986359787397690981/9223372036854775808", + "floor_float": 92.69780687269697 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "205961253793070580061/9223372036854775808", + "floor_float": 22.330363881028546 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1187469194762420650127/18446744073709551616", + "floor_float": 64.37283403605146 + }, + "r=[59/128,237/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2315474626402444384061/18446744073709551616", + "floor_float": 125.5221310140296 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "498816872154452495375/18446744073709551616", + "floor_float": 27.040916823114078 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "112430851975687241509/18446744073709551616", + "floor_float": 6.094888698321814 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "282385727422578902151/4611686018427387904", + "floor_float": 61.23264383009191 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "273180025822352835097/18446744073709551616", + "floor_float": 14.809118873812057 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "49095541393924890413/1152921504606846976", + "floor_float": 42.5835941109163 + }, + "r=[59/128,237/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1527135174161790508469/18446744073709551616", + "floor_float": 82.78616367526212 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "164846754260341702565/4611686018427387904", + "floor_float": 35.74544181924931 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "148432937087135865075/18446744073709551616", + "floor_float": 8.046565642913846 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "747919820342406261491/9223372036854775808", + "floor_float": 81.0896294060205 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "90203006997116562541/4611686018427387904", + "floor_float": 19.559659230199788 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1039256064539306683163/18446744073709551616", + "floor_float": 56.33818414711259 + }, + "r=[59/128,237/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1012250731310349142577/9223372036854775808", + "floor_float": 109.74844419867212 + }, + "r=[59/128,237/512],b=[7/8,1],k=[1,5/4]": { + "floor": "856575593012896362483/18446744073709551616", + "floor_float": 46.435055942132074 + }, + "r=[59/128,237/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "48141030935351262355/4611686018427387904", + "floor_float": 10.438922065159943 + }, + "r=[59/128,237/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "486683331655567322941/4611686018427387904", + "floor_float": 105.53262509868988 + }, + "r=[59/128,237/512],b=[7/8,1],k=[3/4,1]": { + "floor": "234168996647024205277/9223372036854775808", + "floor_float": 25.388653489345444 + }, + "r=[59/128,237/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1351271982432772990447/18446744073709551616", + "floor_float": 73.25260094862034 + }, + "r=[59/128,237/512],b=[7/8,1],k=[7/4,2]": { + "floor": "659347641875662865015/4611686018427387904", + "floor_float": 142.9732291489576 + }, + "r=[59/256,119/512],b=[0,1/8],k=[1,5/4]": { + "floor": "475791654134867058937/18446744073709551616", + "floor_float": 25.79271725317473 + }, + "r=[59/256,119/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "113798123543677632041/18446744073709551616", + "floor_float": 6.169008638541456 + }, + "r=[59/256,119/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1080037819028730259857/18446744073709551616", + "floor_float": 58.54896748787277 + }, + "r=[59/256,119/512],b=[0,1/8],k=[3/4,1]": { + "floor": "132068972564410400355/9223372036854775808", + "floor_float": 14.318946697226224 + }, + "r=[59/256,119/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "748007743291191734199/18446744073709551616", + "floor_float": 40.54958101561448 + }, + "r=[59/256,119/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1471104973977771517841/18446744073709551616", + "floor_float": 79.74876043704657 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "208309464523439291311/4611686018427387904", + "floor_float": 45.169914797120995 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "199470843737078077511/18446744073709551616", + "floor_float": 10.813336106362831 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "473000245821090264959/4611686018427387904", + "floor_float": 102.56557882108073 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "231323071673877752563/9223372036854775808", + "floor_float": 25.080097685483832 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1310073140092511218917/18446744073709551616", + "floor_float": 71.01920723016036 + }, + "r=[59/256,119/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2577870959416720865539/18446744073709551616", + "floor_float": 139.746664729345 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "635095149656277524299/18446744073709551616", + "floor_float": 34.42857704961713 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "151972539623048359773/18446744073709551616", + "floor_float": 8.238447880872421 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "720934587873942373671/9223372036854775808", + "floor_float": 78.16388463928702 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "352603849980168942581/18446744073709551616", + "floor_float": 19.114693008762604 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "998493277089744694903/18446744073709551616", + "floor_float": 54.1284290116436 + }, + "r=[59/256,119/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1964286350869826857335/18446744073709551616", + "floor_float": 106.48417644983451 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "550867688421872888183/18446744073709551616", + "floor_float": 29.862597226953127 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "65895286520886098903/9223372036854775808", + "floor_float": 7.144381280249949 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "312632640318632357695/4611686018427387904", + "floor_float": 67.7913975646681 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "305833976619076289223/18446744073709551616", + "floor_float": 16.579293093514174 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "866045465041258355331/18446744073709551616", + "floor_float": 46.94841873344757 + }, + "r=[59/256,119/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1703469317797772949065/18446744073709551616", + "floor_float": 92.34525675593729 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "537728368550775493047/9223372036854775808", + "floor_float": 58.30062653898368 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "32189986190809503455/2305843009213693952", + "floor_float": 13.96018118414162 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1221189865227815686803/9223372036854775808", + "floor_float": 132.40167048972782 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "74645598578367410855/2305843009213693952", + "floor_float": 32.37236805805873 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1691000554582397890327/18446744073709551616", + "floor_float": 91.66932374762143 + }, + "r=[59/256,119/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3328214285367166178073/18446744073709551616", + "floor_float": 180.4228579346186 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "364472196235969406673/9223372036854775808", + "floor_float": 39.516154696960115 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "174469935169502585083/18446744073709551616", + "floor_float": 9.45803413720899 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1655066298017827469217/18446744073709551616", + "floor_float": 89.7213237959235 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "404727796179293936655/18446744073709551616", + "floor_float": 21.940337794143048 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1146071482088999616843/18446744073709551616", + "floor_float": 62.12865953522876 + }, + "r=[59/256,119/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "140930535280076864755/1152921504606846976", + "floor_float": 122.23775401616349 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "948543833237338707459/18446744073709551616", + "floor_float": 51.42066423468253 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "14194441334005103649/1152921504606846976", + "floor_float": 12.311715305237101 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2154003801088506978197/18446744073709551616", + "floor_float": 116.76878003410968 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "526680051213005860231/18446744073709551616", + "floor_float": 28.551382786495886 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1491412812893005149643/18446744073709551616", + "floor_float": 80.84965059056566 + }, + "r=[59/256,119/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2935053882729391887733/18446744073709551616", + "floor_float": 159.10958980086107 + }, + "r=[59/256,119/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1214745512872227614037/18446744073709551616", + "floor_float": 65.85148620365437 + }, + "r=[59/256,119/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "290824579222522068709/18446744073709551616", + "floor_float": 15.765632030262056 + }, + "r=[59/256,119/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2758934617327237388815/18446744073709551616", + "floor_float": 149.56214529258273 + }, + "r=[59/256,119/512],b=[7/8,1],k=[3/4,1]": { + "floor": "42157040503435577281/1152921504606846976", + "floor_float": 36.5654039195074 + }, + "r=[59/256,119/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1910067618817421029721/18446744073709551616", + "floor_float": 103.54497309580312 + }, + "r=[59/256,119/512],b=[7/8,1],k=[7/4,2]": { + "floor": "939958815276713621527/4611686018427387904", + "floor_float": 203.82107791398278 + }, + "r=[61/128,245/512],b=[0,1/8],k=[1,5/4]": { + "floor": "76328762953618746323/4611686018427387904", + "floor_float": 16.551162123488908 + }, + "r=[61/128,245/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "68652839325800318725/18446744073709551616", + "floor_float": 3.721677877216549 + }, + "r=[61/128,245/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "688073055987186684087/18446744073709551616", + "floor_float": 37.300515106502395 + }, + "r=[61/128,245/512],b=[0,1/8],k=[3/4,1]": { + "floor": "167295877256396743709/18446744073709551616", + "floor_float": 9.069127678462682 + }, + "r=[61/128,245/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "59978903590337659713/2305843009213693952", + "floor_float": 26.011703030377085 + }, + "r=[61/128,245/512],b=[0,1/8],k=[7/4,2]": { + "floor": "927277380825261006695/18446744073709551616", + "floor_float": 50.26780753937082 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "555149160488308533159/18446744073709551616", + "floor_float": 30.094696292746402 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "124517500601796273815/18446744073709551616", + "floor_float": 6.750107233246632 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "314117345064773034149/4611686018427387904", + "floor_float": 68.11334158692115 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "303710646890159313805/18446744073709551616", + "floor_float": 16.464187158264433 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "437109846895292190195/9223372036854775808", + "floor_float": 47.3915445618682 + }, + "r=[61/128,245/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1697425012952844312431/18446744073709551616", + "floor_float": 92.01759433373546 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "207792245506725862961/9223372036854775808", + "floor_float": 22.52888040040335 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "46671000721363918077/9223372036854775808", + "floor_float": 5.0600800374175305 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "938632447871339908437/18446744073709551616", + "floor_float": 50.88336695737468 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "227564989167523364029/18446744073709551616", + "floor_float": 12.336322781853456 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "40862945084130023379/1152921504606846976", + "floor_float": 35.44295506749571 + }, + "r=[61/128,245/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "316628168257469673317/4611686018427387904", + "floor_float": 68.65778957897089 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "357021284175144977393/18446744073709551616", + "floor_float": 19.354162596312843 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "80241023871728259707/18446744073709551616", + "floor_float": 4.34987462020945 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "100687733502025248079/2305843009213693952", + "floor_float": 43.666343762214915 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "195568958012089841065/18446744073709551616", + "floor_float": 10.60181445737171 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "280696738240320605575/9223372036854775808", + "floor_float": 30.433201340975057 + }, + "r=[61/128,245/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "67887207032875598095/1152921504606846976", + "floor_float": 58.88276587921355 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "728402668397312514011/18446744073709551616", + "floor_float": 39.48678777603023 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "163111540635353378705/18446744073709551616", + "floor_float": 8.842294335715389 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "206494645769487069917/2305843009213693952", + "floor_float": 89.55277741996102 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "398114332258278328839/18446744073709551616", + "floor_float": 21.581821196602064 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1148166489528269714961/18446744073709551616", + "floor_float": 62.24223011608026 + }, + "r=[61/128,245/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2234287510575110842745/18446744073709551616", + "floor_float": 121.12096864613824 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "60172664758148275237/2305843009213693952", + "floor_float": 26.095733542010525 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "6753049085453923715/1152921504606846976", + "floor_float": 5.857336391480314 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "136050501222909759269/2305843009213693952", + "floor_float": 59.002499597448214 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "263488090964699840569/18446744073709551616", + "floor_float": 14.283718032399289 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "757696942548714282863/18446744073709551616", + "floor_float": 41.07483355984702 + }, + "r=[61/128,245/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1469500839215748411581/18446744073709551616", + "floor_float": 79.66180011734932 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "637305366619813721167/18446744073709551616", + "floor_float": 34.548393151293645 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "142827358336729884127/18446744073709551616", + "floor_float": 7.7426866099524085 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "721946778281265551209/9223372036854775808", + "floor_float": 78.2736265431459 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "348491202721782271583/18446744073709551616", + "floor_float": 18.891745954152135 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1004075837545285420997/18446744073709551616", + "floor_float": 54.43106022034004 + }, + "r=[61/128,245/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "121986499930364357155/1152921504606846976", + "floor_float": 105.8064225907231 + }, + "r=[61/128,245/512],b=[7/8,1],k=[1,5/4]": { + "floor": "829071652177021466239/18446744073709551616", + "floor_float": 44.94406432182366 + }, + "r=[61/128,245/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "46374965052999360199/4611686018427387904", + "floor_float": 10.05596757188025 + }, + "r=[61/128,245/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "941088502110390342917/9223372036854775808", + "floor_float": 102.03301984892144 + }, + "r=[61/128,245/512],b=[7/8,1],k=[3/4,1]": { + "floor": "452918953144661962721/18446744073709551616", + "floor_float": 24.552785647965145 + }, + "r=[61/128,245/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "163437464771770071127/2305843009213693952", + "floor_float": 70.87970174843048 + }, + "r=[61/128,245/512],b=[7/8,1],k=[7/4,2]": { + "floor": "318386849501270421439/2305843009213693952", + "floor_float": 138.0782855680371 + }, + "r=[61/256,123/512],b=[0,1/8],k=[1,5/4]": { + "floor": "117805527099224452541/4611686018427387904", + "floor_float": 25.545001682355824 + }, + "r=[61/256,123/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "28122773316766022701/4611686018427387904", + "floor_float": 6.09815438527102 + }, + "r=[61/256,123/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1069947596719955546585/18446744073709551616", + "floor_float": 58.00197544047101 + }, + "r=[61/256,123/512],b=[0,1/8],k=[3/4,1]": { + "floor": "130729861644135543505/9223372036854775808", + "floor_float": 14.173760000330118 + }, + "r=[61/256,123/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "185245344802358150323/4611686018427387904", + "floor_float": 40.168681055508614 + }, + "r=[61/256,123/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1457318877767167830327/18446744073709551616", + "floor_float": 79.00141466396504 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "103233885311441814843/2305843009213693952", + "floor_float": 44.77056109151385 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "197333614325264267095/18446744073709551616", + "floor_float": 10.697476667793408 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "468968330532186749081/4611686018427387904", + "floor_float": 101.6912965579794 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "229153333860118302729/9223372036854775808", + "floor_float": 24.844854240343636 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1298799047332834664679/18446744073709551616", + "floor_float": 70.40803743701814 + }, + "r=[61/256,123/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2555878745918582155251/18446744073709551616", + "floor_float": 138.55446444672268 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "314624435919369468643/9223372036854775808", + "floor_float": 34.111649694080675 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "150287507821032511001/18446744073709551616", + "floor_float": 8.147102123849784 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "714510262329767200427/9223372036854775808", + "floor_float": 77.46735786811213 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "349168446801358352729/18446744073709551616", + "floor_float": 18.9284594292711 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "247381713246734514225/4611686018427387904", + "floor_float": 53.64235818705913 + }, + "r=[61/256,123/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "973368803053659583349/9223372036854775808", + "floor_float": 105.53285709003929 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "545688832894715467547/18446744073709551616", + "floor_float": 29.581850906276497 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "65151685714157665463/9223372036854775808", + "floor_float": 7.0637599192382545 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "309781402445209872753/4611686018427387904", + "floor_float": 67.17313390534058 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "302795028812825720647/18446744073709551616", + "floor_float": 16.414551402833826 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "429046230591256877343/9223372036854775808", + "floor_float": 46.51728553037574 + }, + "r=[61/256,123/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "843941381345592470265/9223372036854775808", + "floor_float": 91.50030791053089 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "266577291264833187941/4611686018427387904", + "floor_float": 57.804735664926646 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "254859961153562634355/18446744073709551616", + "floor_float": 13.815986178113194 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2422415910593285460921/18446744073709551616", + "floor_float": 131.31942964643457 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "295880289476752871491/9223372036854775808", + "floor_float": 32.07940526463354 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1677023475429512320899/18446744073709551616", + "floor_float": 90.91162476849341 + }, + "r=[61/256,123/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3301031909869228909417/18446744073709551616", + "floor_float": 178.94929840620958 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "22574020826938900371/576460752303423488", + "floor_float": 39.15968387568029 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "43142173611425122641/4611686018427387904", + "floor_float": 9.354967671050783 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "205080406021353384089/2305843009213693952", + "floor_float": 88.93944869702426 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "400858777429807970613/18446744073709551616", + "floor_float": 21.730597867464056 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1135998300325181623993/18446744073709551616", + "floor_float": 61.58259125762012 + }, + "r=[61/256,123/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2235209907495161147629/18446744073709551616", + "floor_float": 121.17097188336885 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "940321346337358750481/18446744073709551616", + "floor_float": 50.97492232667294 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "224716738656310686343/18446744073709551616", + "floor_float": 12.18191881225147 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1068014589346292434261/9223372036854775808", + "floor_float": 115.79437380154641 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "521829198186016754023/18446744073709551616", + "floor_float": 28.28841751698241 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "739418926158903889243/9223372036854775808", + "floor_float": 80.16796061183824 + }, + "r=[61/256,123/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2910561830948067102665/18446744073709551616", + "floor_float": 157.7818730133641 + }, + "r=[61/256,123/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1204601990137528022959/18446744073709551616", + "floor_float": 65.3016047343735 + }, + "r=[61/256,123/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "287862434040742591803/18446744073709551616", + "floor_float": 15.605053818196916 + }, + "r=[61/256,123/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "171052405506534416631/1152921504606846976", + "floor_float": 148.36431172724485 + }, + "r=[61/256,123/512],b=[7/8,1],k=[3/4,1]": { + "floor": "167128151432115472181/4611686018427387904", + "floor_float": 36.240140973237196 + }, + "r=[61/256,123/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1894582114208655496021/18446744073709551616", + "floor_float": 102.70550220886022 + }, + "r=[61/256,123/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1864886673553439024107/9223372036854775808", + "floor_float": 202.19141829059043 + }, + "r=[63/128,253/512],b=[0,1/8],k=[1,5/4]": { + "floor": "293433440732087539187/18446744073709551616", + "floor_float": 15.907058696081291 + }, + "r=[63/128,253/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "16433635873821918555/4611686018427387904", + "floor_float": 3.563476743246689 + }, + "r=[63/128,253/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "164957665191436843749/4611686018427387904", + "floor_float": 35.76949179373846 + }, + "r=[63/128,253/512],b=[0,1/8],k=[3/4,1]": { + "floor": "160728365435537200243/18446744073709551616", + "floor_float": 8.713102149262674 + }, + "r=[63/128,253/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "230395587554147471851/9223372036854775808", + "floor_float": 24.979539655728093 + }, + "r=[63/128,253/512],b=[0,1/8],k=[7/4,2]": { + "floor": "443826772345894987809/9223372036854775808", + "floor_float": 48.119795078464875 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "535386744086156319705/18446744073709551616", + "floor_float": 29.023373552907575 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "29891998169307664925/4611686018427387904", + "floor_float": 6.481793871019218 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1209701746721262446141/18446744073709551616", + "floor_float": 65.5780630927351 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "36591610000484794921/2305843009213693952", + "floor_float": 15.86908122290717 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "842633664794379499981/18446744073709551616", + "floor_float": 45.67926249897443 + }, + "r=[63/128,253/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1631863826764849509413/18446744073709551616", + "floor_float": 88.46351530894793 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "200064471412222601003/9223372036854775808", + "floor_float": 21.691033454229583 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "89508486730706070081/18446744073709551616", + "floor_float": 4.852264788466074 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "225492354914774325275/4611686018427387904", + "floor_float": 48.895860215494146 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "218996503073352341951/18446744073709551616", + "floor_float": 11.871824219942853 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "629067811862369682895/18446744073709551616", + "floor_float": 34.10183441309419 + }, + "r=[63/128,253/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "303772419368391325203/4611686018427387904", + "floor_float": 65.87014340407752 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "171721065449190785389/9223372036854775808", + "floor_float": 18.618035222153814 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "76890189416592255327/18446744073709551616", + "floor_float": 4.1682255204145635 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "773243097266770647407/18446744073709551616", + "floor_float": 41.91759229580265 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "188049685618881204567/18446744073709551616", + "floor_float": 10.194193884160356 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "539641861618660984915/18446744073709551616", + "floor_float": 29.25404393655371 + }, + "r=[63/128,253/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1040935632403795233125/18446744073709551616", + "floor_float": 56.429233703488364 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "703538832131820050841/18446744073709551616", + "floor_float": 38.1389165112617 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "156821389702875686777/18446744073709551616", + "floor_float": 8.501304570402686 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1593316561584617325559/18446744073709551616", + "floor_float": 86.37386387635881 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "384256328311372744115/18446744073709551616", + "floor_float": 20.83057729732468 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "554252712666121873355/9223372036854775808", + "floor_float": 60.09219951785934 + }, + "r=[63/128,253/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2152138720627010524973/18446744073709551616", + "floor_float": 116.66767381969895 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "115966767603804814725/4611686018427387904", + "floor_float": 25.14628427443336 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "103685197272923902667/18446744073709551616", + "floor_float": 5.6207858068946095 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "130864624442496771037/2305843009213693952", + "floor_float": 56.75348404882186 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "63443977501217921315/4611686018427387904", + "floor_float": 13.757219647588387 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "364843539693421517577/9223372036854775808", + "floor_float": 39.5564158352909 + }, + "r=[63/128,253/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "705656696465660751439/9223372036854775808", + "floor_float": 76.50745233370135 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "153774320017679199129/4611686018427387904", + "floor_float": 33.344490367129794 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "137236900223277217241/18446744073709551616", + "floor_float": 7.4396272683626785 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "695713833389289009187/9223372036854775808", + "floor_float": 75.42944495888854 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "168067271887173293291/9223372036854775808", + "floor_float": 18.221890130378522 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "968612126365164983133/18446744073709551616", + "floor_float": 52.50856858504579 + }, + "r=[63/128,253/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1878262751741244760589/18446744073709551616", + "floor_float": 101.82082779682297 + }, + "r=[63/128,253/512],b=[7/8,1],k=[1,5/4]": { + "floor": "801361233946505419297/18446744073709551616", + "floor_float": 43.441879539523285 + }, + "r=[63/128,253/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "44611021355377936831/4611686018427387904", + "floor_float": 9.673473254059598 + }, + "r=[63/128,253/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "454219290762051518583/4611686018427387904", + "floor_float": 98.49310836580825 + }, + "r=[63/128,253/512],b=[7/8,1],k=[3/4,1]": { + "floor": "437436225981349362247/18446744073709551616", + "floor_float": 23.713465326641952 + }, + "r=[63/128,253/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1263300829623317795389/18446744073709551616", + "floor_float": 68.48367519901706 + }, + "r=[63/128,253/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1227835287062352886399/9223372036854775808", + "floor_float": 133.12216856873658 + }, + "r=[63/256,127/512],b=[0,1/8],k=[1,5/4]": { + "floor": "233288020804613362313/9223372036854775808", + "floor_float": 25.293137897120538 + }, + "r=[63/256,127/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "27792537834035094101/4611686018427387904", + "floor_float": 6.026545979709285 + }, + "r=[63/256,127/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1059665334884385205643/18446744073709551616", + "floor_float": 57.4445729094615 + }, + "r=[63/256,127/512],b=[0,1/8],k=[3/4,1]": { + "floor": "258743467100465354395/18446744073709551616", + "floor_float": 14.02651145733781 + }, + "r=[63/256,127/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "733828518229460791247/18446744073709551616", + "floor_float": 39.78092368481 + }, + "r=[63/256,127/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1443258949368760737605/18446744073709551616", + "floor_float": 78.23922441823785 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "818385713566580240485/18446744073709551616", + "floor_float": 44.3647784289993 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "195172644014472537493/18446744073709551616", + "floor_float": 10.580330232511555 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1859423112348313100125/18446744073709551616", + "floor_float": 100.79952889888996 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "226953110891213860711/9223372036854775808", + "floor_float": 24.606305588059765 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "643659416275893157109/9223372036854775808", + "floor_float": 69.7856937467075 + }, + "r=[63/256,127/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1266713950960407774209/9223372036854775808", + "floor_float": 137.3374017548971 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "623306243775930053353/18446744073709551616", + "floor_float": 33.78949918128214 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "37146266227322831927/4611686018427387904", + "floor_float": 8.054812508677667 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "707959531427041298671/9223372036854775808", + "floor_float": 76.75712620050179 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "345686482483521615033/18446744073709551616", + "floor_float": 18.73970176537532 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "490196584760332794005/9223372036854775808", + "floor_float": 53.14722021421275 + }, + "r=[63/256,127/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1928830535981304726871/18446744073709551616", + "floor_float": 104.56211287336552 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "540422658784667623027/18446744073709551616", + "floor_float": 29.296371035736456 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "64400505269073347315/9223372036854775808", + "floor_float": 6.98231677218935 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "306875565884034759649/4611686018427387904", + "floor_float": 66.54303104283781 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "299713844209975092379/18446744073709551616", + "floor_float": 16.24752005082185 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "424996768971893697435/9223372036854775808", + "floor_float": 46.07824202186472 + }, + "r=[63/256,127/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1671986307404904553393/18446744073709551616", + "floor_float": 90.6385593427207 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "264253706123683969659/4611686018427387904", + "floor_float": 57.30088845332884 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "252164524453545905327/18446744073709551616", + "floor_float": 13.669866261815429 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2402052911805807759997/18446744073709551616", + "floor_float": 130.21554927024943 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "293140935920165152123/9223372036854775808", + "floor_float": 31.78240395690771 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "831394720757997322563/9223372036854775808", + "floor_float": 90.13999624388 + }, + "r=[63/256,127/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3273279489732122839863/18446744073709551616", + "floor_float": 177.44483669599055 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "89460932399165248035/2305843009213693952", + "floor_float": 38.79749490390152 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "170646444124410345399/18446744073709551616", + "floor_float": 9.250762272330597 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "812966666092702677027/9223372036854775808", + "floor_float": 88.1420225536006 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "198468750712006225311/9223372036854775808", + "floor_float": 21.518025069244114 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "70358661532831382699/1152921504606846976", + "floor_float": 61.02641094965446 + }, + "r=[63/256,127/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1107561146891193066433/9223372036854775808", + "floor_float": 120.08202016199684 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "931965120565378375595/18446744073709551616", + "floor_float": 50.52193041988492 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "222295769246420655191/18446744073709551616", + "floor_float": 12.050677797565283 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1058848646233686851175/9223372036854775808", + "floor_float": 114.80060025798986 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "258455419265700599837/9223372036854775808", + "floor_float": 28.021792705852448 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "22906772214625890301/288230376151711744", + "floor_float": 79.47383103912954 + }, + "r=[63/256,127/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1442779908191488780093/9223372036854775808", + "floor_float": 156.42651108796488 + }, + "r=[63/256,127/512],b=[7/8,1],k=[1,5/4]": { + "floor": "597148722573526711699/9223372036854775808", + "floor_float": 64.74299423111614 + }, + "r=[63/256,127/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "284865907152522084359/18446744073709551616", + "floor_float": 15.442611770090922 + }, + "r=[63/256,127/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2714306061973025746353/18446744073709551616", + "floor_float": 147.14282645908645 + }, + "r=[63/256,127/512],b=[7/8,1],k=[3/4,1]": { + "floor": "662427104900959497819/18446744073709551616", + "floor_float": 35.91024531234517 + }, + "r=[63/256,127/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "234852416882683259721/2305843009213693952", + "floor_float": 101.85100023907061 + }, + "r=[63/256,127/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1849536506899901125155/9223372036854775808", + "floor_float": 200.5271498872124 + }, + "r=[65/256,131/512],b=[0,1/8],k=[1,5/4]": { + "floor": "461859206009064339129/18446744073709551616", + "floor_float": 25.037437726872884 + }, + "r=[65/256,131/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "27458958843402145791/4611686018427387904", + "floor_float": 5.954212566441332 + }, + "r=[65/256,131/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "262298201472512195359/4611686018427387904", + "floor_float": 56.87685597510765 + }, + "r=[65/256,131/512],b=[0,1/8],k=[3/4,1]": { + "floor": "127996207768792827231/9223372036854775808", + "floor_float": 13.877376653283118 + }, + "r=[65/256,131/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "726552646772989016737/18446744073709551616", + "floor_float": 39.3864979028184 + }, + "r=[65/256,131/512],b=[0,1/8],k=[7/4,2]": { + "floor": "714465967864717124831/9223372036854775808", + "floor_float": 77.46255545258849 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "810781551400102024685/18446744073709551616", + "floor_float": 43.95255597195791 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "48246940647194270711/4611686018427387904", + "floor_float": 10.461887573093444 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "921330971677052344681/9223372036854775808", + "floor_float": 99.8909041070441 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "449445844758499316273/18446744073709551616", + "floor_float": 24.364508065087385 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1275635904621880666157/18446744073709551616", + "floor_float": 69.15236095457773 + }, + "r=[65/256,131/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2510538137913274759839/18446744073709551616", + "floor_float": 136.09654516166427 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "617272237375737150403/18446744073709551616", + "floor_float": 33.46239503888811 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "36715952858605069069/4611686018427387904", + "floor_float": 7.961503170834996 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1402583100341727636925/18446744073709551616", + "floor_float": 76.03418222409776 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "342156196733905042717/18446744073709551616", + "floor_float": 18.548324591413873 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "121388769797974129367/2305843009213693952", + "floor_float": 52.643987172122536 + }, + "r=[65/256,131/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "119410650817729426439/1152921504606846976", + "floor_float": 103.57222962759218 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "535079040003930943137/18446744073709551616", + "floor_float": 29.006692881186 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "127282761255584054053/18446744073709551616", + "floor_float": 6.900012313662901 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "151956989653917971155/2305843009213693952", + "floor_float": 65.90083932285407 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "148296007262131995429/9223372036854775808", + "floor_float": 16.078285324452967 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "210439860558592139587/4611686018427387904", + "floor_float": 45.631870799034445 + }, + "r=[65/256,131/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "827885344604757607233/9223372036854775808", + "floor_float": 89.75950891893886 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "523785707142538809231/9223372036854775808", + "floor_float": 56.788960160079675 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "249429168741909695067/18446744073709551616", + "floor_float": 13.521582331561598 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2381315093843129155817/18446744073709551616", + "floor_float": 129.0913499058622 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "580725111929580177251/18446744073709551616", + "floor_float": 31.481171398546927 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1648309049458168003357/18446744073709551616", + "floor_float": 89.35501261750312 + }, + "r=[65/256,131/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3244974680810761702203/18446744073709551616", + "floor_float": 175.9104299297742 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "177224519037622590929/4611686018427387904", + "floor_float": 38.42944171165781 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "42175894069784521299/4611686018427387904", + "floor_float": 9.145439195395776 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "402739331102574478567/4611686018427387904", + "floor_float": 87.33017154535403 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "392961151010184244929/18446744073709551616", + "floor_float": 21.302466681382306 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "557650998568270344535/9223372036854775808", + "floor_float": 60.460642413642965 + }, + "r=[65/256,131/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "548659489663339881343/4611686018427387904", + "floor_float": 118.97156212955625 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "461738961230415946755/9223372036854775808", + "floor_float": 50.061838488721705 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "219847364078571323317/18446744073709551616", + "floor_float": 11.917949487459934 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1049509973852372304905/9223372036854775808", + "floor_float": 113.7880993695947 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "511923446961881885231/18446744073709551616", + "floor_float": 27.75142566711701 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1453006201202833626599/18446744073709551616", + "floor_float": 78.76762399895111 + }, + "r=[65/256,131/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1430026094232212269963/9223372036854775808", + "floor_float": 155.04373980775253 + }, + "r=[65/256,131/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1183821826038473788891/18446744073709551616", + "floor_float": 64.1751097813335 + }, + "r=[65/256,131/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "281836562169896547945/18446744073709551616", + "floor_float": 15.278390649522388 + }, + "r=[65/256,131/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2691352085380625364919/18446744073709551616", + "floor_float": 145.89848889465335 + }, + "r=[65/256,131/512],b=[7/8,1],k=[3/4,1]": { + "floor": "41016007152569171167/1152921504606846976", + "floor_float": 35.57571524919719 + }, + "r=[65/256,131/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1862777327424466656869/18446744073709551616", + "floor_float": 100.98136126251742 + }, + "r=[65/256,131/512],b=[7/8,1],k=[7/4,2]": { + "floor": "916943239366633534457/4611686018427387904", + "floor_float": 198.83037043344 + }, + "r=[65/512,33/256],b=[0,1/8],k=[1,5/4]": { + "floor": "529014888108732753683/18446744073709551616", + "floor_float": 28.677954548233206 + }, + "r=[65/512,33/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "129518505304927711981/18446744073709551616", + "floor_float": 7.021212241433898 + }, + "r=[65/512,33/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "597454719117314264953/9223372036854775808", + "floor_float": 64.77617044287089 + }, + "r=[65/512,33/256],b=[0,1/8],k=[3/4,1]": { + "floor": "147873986059449813155/9223372036854775808", + "floor_float": 16.03252969397467 + }, + "r=[65/512,33/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "828880066721821344553/18446744073709551616", + "floor_float": 44.93367845348643 + }, + "r=[65/512,33/256],b=[0,1/8],k=[7/4,2]": { + "floor": "813333705905731121281/9223372036854775808", + "floor_float": 88.181817089868 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "918871629604614475945/18446744073709551616", + "floor_float": 49.812130852630936 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "56274466072425854859/4611686018427387904", + "floor_float": 12.202579674237185 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2075702763465279527961/18446744073709551616", + "floor_float": 112.52407227916106 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "513782791804263497421/18446744073709551616", + "floor_float": 27.852220952992504 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1439733111527090489171/18446744073709551616", + "floor_float": 78.04808836584932 + }, + "r=[65/512,33/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2826117535159125668113/18446744073709551616", + "floor_float": 153.20413856594516 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "703122404986487337759/18446744073709551616", + "floor_float": 38.11634195047911 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "172207253590052545527/18446744073709551616", + "floor_float": 9.335373923004857 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1588237856390864555729/18446744073709551616", + "floor_float": 86.09854671613479 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "393113248102853585035/18446744073709551616", + "floor_float": 21.310711881297348 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1101680149361176589993/18446744073709551616", + "floor_float": 59.722200566077134 + }, + "r=[65/512,33/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2162266454361352690031/18446744073709551616", + "floor_float": 117.21669936555537 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "305582940637067981547/9223372036854775808", + "floor_float": 33.131368811321806 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "149661849681484449879/18446744073709551616", + "floor_float": 8.113185128143222 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "86280814486186318089/1152921504606846976", + "floor_float": 74.83667720779358 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "42711218097944946635/2305843009213693952", + "floor_float": 18.52303818051764 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "957597521483765963811/18446744073709551616", + "floor_float": 51.911465657971675 + }, + "r=[65/512,33/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1879364694549609017979/18446744073709551616", + "floor_float": 101.88056423616213 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1181691330751165485127/18446744073709551616", + "floor_float": 64.05961540038501 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "289476189038455759749/18446744073709551616", + "floor_float": 15.692535651915914 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2669699880395218538341/18446744073709551616", + "floor_float": 144.72472051043937 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "660689098207752122437/18446744073709551616", + "floor_float": 35.81602778071668 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1851641300692381174031/18446744073709551616", + "floor_float": 100.37767604372824 + }, + "r=[65/512,33/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3635107855454766586783/18446744073709551616", + "floor_float": 197.05959170515905 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "100678212801722845555/2305843009213693952", + "floor_float": 43.66221481663433 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "197296955492526282743/18446744073709551616", + "floor_float": 10.695489388488644 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1819369061014067192467/18446744073709551616", + "floor_float": 98.6281944252182 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "112582134818084114109/4611686018427387904", + "floor_float": 24.41235903056455 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "19718284799515568859/288230376151711744", + "floor_float": 68.41154309543258 + }, + "r=[65/512,33/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1238511891575626270223/9223372036854775808", + "floor_float": 134.27972834954255 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "522050123420552871745/9223372036854775808", + "floor_float": 56.60078779588891 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "127886922903409243009/9223372036854775808", + "floor_float": 13.865527964436252 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2358682639501814177953/18446744073709551616", + "floor_float": 127.86444209758554 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "583774652441282763495/18446744073709551616", + "floor_float": 31.64648732094045 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1635968633002522663183/18446744073709551616", + "floor_float": 88.6860373009738 + }, + "r=[65/512,33/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3211511245089952174549/18446744073709551616", + "floor_float": 174.09637344440767 + }, + "r=[65/512,33/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1332420850967832639461/18446744073709551616", + "floor_float": 72.23067906421544 + }, + "r=[65/512,33/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "163196645890297165971/9223372036854775808", + "floor_float": 17.693815801660776 + }, + "r=[65/512,33/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3010494235914963341191/18446744073709551616", + "floor_float": 163.1992195417046 + }, + "r=[65/512,33/256],b=[7/8,1],k=[3/4,1]": { + "floor": "186237156317184472583/4611686018427387904", + "floor_float": 40.383745895322775 + }, + "r=[65/512,33/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2087906383582919673601/18446744073709551616", + "floor_float": 113.18563185134772 + }, + "r=[65/512,33/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4099275429708523526017/18446744073709551616", + "floor_float": 222.22216632532155 + }, + "r=[67/256,135/512],b=[0,1/8],k=[1,5/4]": { + "floor": "114267559385358131543/4611686018427387904", + "floor_float": 24.777827226044337 + }, + "r=[67/256,135/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "27122038787705351481/4611686018427387904", + "floor_float": 5.881154675173252 + }, + "r=[67/256,135/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1038537548088880285631/18446744073709551616", + "floor_float": 56.29923329228665 + }, + "r=[67/256,135/512],b=[0,1/8],k=[3/4,1]": { + "floor": "126602487640546401133/9223372036854775808", + "floor_float": 13.726269214194962 + }, + "r=[67/256,135/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "359580299385233900941/9223372036854775808", + "floor_float": 38.98577417764587 + }, + "r=[67/256,135/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1414321449663012857819/18446744073709551616", + "floor_float": 76.67051941587432 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "200764876336853222687/4611686018427387904", + "floor_float": 43.53394301663998 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "95389826873246904635/9223372036854775808", + "floor_float": 10.342185752899045 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "912801041894541334867/9223372036854775808", + "floor_float": 98.96608726690937 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "111231046344859038975/4611686018427387904", + "floor_float": 24.1193884189864 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "631880108186365926847/9223372036854775808", + "floor_float": 68.50857860460336 + }, + "r=[67/256,135/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1243601242925497040727/9223372036854775808", + "floor_float": 134.83151692854975 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "611149121525039602059/18446744073709551616", + "floor_float": 33.130460263502776 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "18140748031869951823/2305843009213693952", + "floor_float": 7.867295370666216 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1389007800645005128105/18446744073709551616", + "floor_float": 75.29826375293135 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "338581850506310910213/18446744073709551616", + "floor_float": 18.35455889415523 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "961672344474178756575/18446744073709551616", + "floor_float": 52.13236225490665 + }, + "r=[67/256,135/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "59123862418562162663/576460752303423488", + "floor_float": 102.56355212790267 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "264827212740378029347/9223372036854775808", + "floor_float": 28.712623938639872 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "31437467713118212631/4611686018427387904", + "floor_float": 6.816914158401134 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "601797247492815843241/9223372036854775808", + "floor_float": 65.24698831275077 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "293430190219513604693/18446744073709551616", + "floor_float": 15.906882485441573 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "833388858783631802299/18446744073709551616", + "floor_float": 45.17810056092144 + }, + "r=[67/256,135/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "819625091937425972997/9223372036854775808", + "floor_float": 88.86393053021885 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "518991674178616244575/9223372036854775808", + "floor_float": 56.26919006463448 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "246665033225803880299/18446744073709551616", + "floor_float": 13.371738244981286 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2360193081940967023175/18446744073709551616", + "floor_float": 127.94632334628272 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "143773726263104316583/4611686018427387904", + "floor_float": 31.175957272158787 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "408395419553465731965/4611686018427387904", + "floor_float": 88.55664022259933 + }, + "r=[67/256,135/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1608056680795488833313/9223372036854775808", + "floor_float": 174.34585467982984 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "702011620821517118287/18446744073709551616", + "floor_float": 38.05612622023795 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "166739891554371453073/18446744073709551616", + "floor_float": 9.038987633162348 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1595709375456317086399/18446744073709551616", + "floor_float": 86.50357857626132 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "97233291538079033903/4611686018427387904", + "floor_float": 21.084109184700342 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "276173364171795303817/4611686018427387904", + "floor_float": 59.88555228353817 + }, + "r=[67/256,135/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1086878930444072619571/9223372036854775808", + "floor_float": 117.8396497616185 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "914858143079441043467/18446744073709551616", + "floor_float": 49.594559312139225 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "13585814850531081317/1152921504606846976", + "floor_float": 11.783815980745302 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "519999794566544639275/4611686018427387904", + "floor_float": 112.75698139221274 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "506869279139336249269/18446744073709551616", + "floor_float": 27.477438680451495 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1439751884011002226623/18446744073709551616", + "floor_float": 78.04910602424133 + }, + "r=[67/256,135/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1417029154373142139219/9223372036854775808", + "floor_float": 153.63460876466578 + }, + "r=[67/256,135/512],b=[7/8,1],k=[1,5/4]": { + "floor": "146648235351995830689/2305843009213693952", + "floor_float": 63.59853414391977 + }, + "r=[67/256,135/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "69693546320284652733/4611686018427387904", + "floor_float": 15.112378865734351 + }, + "r=[67/256,135/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2667977527973062492243/18446744073709551616", + "floor_float": 144.631351598545 + }, + "r=[67/256,135/512],b=[7/8,1],k=[3/4,1]": { + "floor": "162500534479224069901/4611686018427387904", + "floor_float": 35.23668650248607 + }, + "r=[67/256,135/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "461616365991386959015/4611686018427387904", + "floor_float": 100.09709337254509 + }, + "r=[67/256,135/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1817928634376608799055/9223372036854775808", + "floor_float": 197.10021748147255 + }, + "r=[67/512,17/128],b=[0,1/8],k=[1,5/4]": { + "floor": "527269471839323454085/18446744073709551616", + "floor_float": 28.583335342673948 + }, + "r=[67/512,17/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "16123009939742981465/2305843009213693952", + "floor_float": 6.992240961469889 + }, + "r=[67/512,17/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "148903325463951784097/2305843009213693952", + "floor_float": 64.57652358333306 + }, + "r=[67/512,17/128],b=[0,1/8],k=[3/4,1]": { + "floor": "294695771951889850687/18446744073709551616", + "floor_float": 15.975489808626588 + }, + "r=[67/512,17/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "413130169489736342361/9223372036854775808", + "floor_float": 44.79166272800768 + }, + "r=[67/512,17/128],b=[0,1/8],k=[7/4,2]": { + "floor": "810860615167067689379/9223372036854775808", + "floor_float": 87.91368405470674 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "458030820000748914035/9223372036854775808", + "floor_float": 49.6598010110129 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "224233113280323425077/18446744073709551616", + "floor_float": 12.155701428085743 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1034901163942446707197/9223372036854775808", + "floor_float": 112.2042090254178 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "64010147775600054571/2305843009213693952", + "floor_float": 27.759976511769505 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "358881861588406240467/4611686018427387904", + "floor_float": 77.82009879995843 + }, + "r=[67/512,17/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "88069187290111078139/576460752303423488", + "floor_float": 152.77568670235394 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "700893446300554250981/18446744073709551616", + "floor_float": 37.99550985799566 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "85760597408720677541/9223372036854775808", + "floor_float": 9.298182602418969 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1583539196392616292229/18446744073709551616", + "floor_float": 85.84383184724122 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "195883310380342830669/9223372036854775808", + "floor_float": 21.237711066802007 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1098334307344096126715/18446744073709551616", + "floor_float": 59.54082210689154 + }, + "r=[67/512,17/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2155967478348947508015/18446744073709551616", + "floor_float": 116.87523119170118 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "609189162995214741535/18446744073709551616", + "floor_float": 33.02421069870189 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "149055282926159052905/18446744073709551616", + "floor_float": 8.080303078449159 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "172040009247575685595/2305843009213693952", + "floor_float": 74.61046071225913 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "85124329393421722989/4611686018427387904", + "floor_float": 18.458396571943904 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "954631203367426287865/18446744073709551616", + "floor_float": 51.75066123067075 + }, + "r=[67/512,17/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "468442243359809914179/4611686018427387904", + "floor_float": 101.57721958693786 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "147276505059313782169/2305843009213693952", + "floor_float": 63.871002696552154 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "144195689744317594095/9223372036854775808", + "floor_float": 15.63372800838349 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "332799177275342573833/2305843009213693952", + "floor_float": 144.32863640132598 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "164644342516725916507/4611686018427387904", + "floor_float": 35.70155076881635 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "461607074381038184301/4611686018427387904", + "floor_float": 100.09507857571988 + }, + "r=[67/512,17/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "453166173134430800331/2305843009213693952", + "floor_float": 196.52949976371684 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "802916174907279913093/18446744073709551616", + "floor_float": 43.52617305791121 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "6141391080444469669/576460752303423488", + "floor_float": 10.653615282401589 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1814092625366393451379/18446744073709551616", + "floor_float": 98.34215827560881 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "448814336450038897355/18446744073709551616", + "floor_float": 24.330273931088616 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "629105455673943437285/9223372036854775808", + "floor_float": 68.20775017641726 + }, + "r=[67/512,17/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "38593025254212544941/288230376151711744", + "floor_float": 133.89645383489656 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1040964657034004191779/18446744073709551616", + "floor_float": 56.430807131844766 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "63700644266908327373/4611686018427387904", + "floor_float": 13.81287538058166 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2352105568301894893899/18446744073709551616", + "floor_float": 127.50789835340832 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "581879538402313167529/18446744073709551616", + "floor_float": 31.543752983032523 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "815638959872734297495/9223372036854775808", + "floor_float": 88.43175322578357 + }, + "r=[67/512,17/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3202705598693254539579/18446744073709551616", + "floor_float": 173.61901839673573 + }, + "r=[67/512,17/128],b=[7/8,1],k=[1,5/4]": { + "floor": "83035138329478089157/1152921504606846976", + "floor_float": 72.02150189556362 + }, + "r=[67/512,17/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "325186496178816594267/18446744073709551616", + "floor_float": 17.628395281001108 + }, + "r=[67/512,17/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3002404266292217977509/18446744073709551616", + "floor_float": 162.76066140968848 + }, + "r=[67/512,17/128],b=[7/8,1],k=[3/4,1]": { + "floor": "742604166810487584335/18446744073709551616", + "floor_float": 40.25665254763593 + }, + "r=[67/512,17/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1041071410612740600691/9223372036854775808", + "floor_float": 112.8731885098882 + }, + "r=[67/512,17/128],b=[7/8,1],k=[7/4,2]": { + "floor": "1022113284678545083437/4611686018427387904", + "floor_float": 221.63548875495468 + }, + "r=[69/256,139/512],b=[0,1/8],k=[1,5/4]": { + "floor": "56526736715639040585/2305843009213693952", + "floor_float": 24.51456430024479 + }, + "r=[69/256,139/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "836930489730045563/144115188075855872", + "floor_float": 5.807371873181904 + }, + "r=[69/256,139/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "256925060254437760745/4611686018427387904", + "floor_float": 55.71174169876611 + }, + "r=[69/256,139/512],b=[0,1/8],k=[3/4,1]": { + "floor": "250382112425102422753/18446744073709551616", + "floor_float": 13.573241512140292 + }, + "r=[69/256,139/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "355823851222291497271/9223372036854775808", + "floor_float": 38.57849925173674 + }, + "r=[69/256,139/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1399461577323676661941/18446744073709551616", + "floor_float": 75.86496412221605 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "49701583273601953017/1152921504606846976", + "floor_float": 43.109251648966755 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "94274300527328496849/9223372036854775808", + "floor_float": 10.221240144128089 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1808248203989994180719/18446744073709551616", + "floor_float": 98.02533155794816 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "440345032587188707229/18446744073709551616", + "floor_float": 23.87115204871151 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "19557650934220643647/288230376151711744", + "floor_float": 67.85423242110457 + }, + "r=[69/256,139/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2463429052108264650381/18446744073709551616", + "floor_float": 133.54275650298436 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "604938332177150493029/18446744073709551616", + "floor_float": 32.793772698311216 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "143371996118889749635/18446744073709551616", + "floor_float": 7.772211483284178 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1375180746768154424739/18446744073709551616", + "floor_float": 74.54869766031356 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "20935270650689816477/1152921504606846976", + "floor_float": 18.158452736839934 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "476041128404089222417/9223372036854775808", + "floor_float": 51.61248256081645 + }, + "r=[69/256,139/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1872998121104467994259/18446744073709551616", + "floor_float": 101.53543159813661 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "65518607057230939111/2305843009213693952", + "floor_float": 28.414166443869554 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "31050583740207154289/4611686018427387904", + "floor_float": 6.733022069615135 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1191319849671300039269/18446744073709551616", + "floor_float": 64.5815784569364 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "72557095684914481501/4611686018427387904", + "floor_float": 15.73331215416458 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "824878791423216844095/18446744073709551616", + "floor_float": 44.71676888491345 + }, + "r=[69/256,139/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "811204928291888027089/9223372036854775808", + "floor_float": 87.95101455850129 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "514124201574310123799/9223372036854775808", + "floor_float": 55.741457627424246 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "30484092000244538475/2305843009213693952", + "floor_float": 13.220367509165246 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2338683329101836045931/18446744073709551616", + "floor_float": 126.78027730839213 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "569391108668109494435/18446744073709551616", + "floor_float": 30.866753850594712 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "404651932984850153771/4611686018427387904", + "floor_float": 87.74490096852666 + }, + "r=[69/256,139/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3186696557930743009009/18446744073709551616", + "floor_float": 172.75116655802952 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "695026435282268897297/18446744073709551616", + "floor_float": 37.67745855339459 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "41189452542392611107/4611686018427387904", + "floor_float": 8.931538785990131 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "197525058048209756519/2305843009213693952", + "floor_float": 85.66283882247775 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "384855656467732334097/18446744073709551616", + "floor_float": 20.86306694178252 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "546960265812973673473/9223372036854775808", + "floor_float": 59.3015508457675 + }, + "r=[69/256,139/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2152491704080449281395/18446744073709551616", + "floor_float": 116.68680909105244 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "226526413394862530385/4611686018427387904", + "floor_float": 49.12008590561189 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "53718216382239445751/4611686018427387904", + "floor_float": 11.648281380734085 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2060636304265108494409/18446744073709551616", + "floor_float": 111.70731788933658 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "501747595869352400013/18446744073709551616", + "floor_float": 27.19979167404654 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "44571195379987796531/576460752303423488", + "floor_float": 77.31869897801384 + }, + "r=[69/256,139/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "350946002316250583373/2305843009213693952", + "floor_float": 152.1985672545527 + }, + "r=[69/256,139/512],b=[7/8,1],k=[1,5/4]": { + "floor": "290597965164750107619/4611686018427387904", + "floor_float": 63.0133890302978 + }, + "r=[69/256,139/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "4307517092607295091/288230376151711744", + "floor_float": 14.944702047434474 + }, + "r=[69/256,139/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "165261564881382980803/1152921504606846976", + "floor_float": 143.34155813819964 + }, + "r=[69/256,139/512],b=[7/8,1],k=[3/4,1]": { + "floor": "321833664413118375149/9223372036854775808", + "floor_float": 34.89327581356737 + }, + "r=[69/256,139/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "114367865397511544075/1152921504606846976", + "floor_float": 99.1983105012094 + }, + "r=[69/256,139/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3603329942444947906253/18446744073709551616", + "floor_float": 195.33690758904402 + }, + "r=[69/512,35/256],b=[0,1/8],k=[1,5/4]": { + "floor": "525502877346135754651/18446744073709551616", + "floor_float": 28.487568063303197 + }, + "r=[69/512,35/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "128444500431819893331/18446744073709551616", + "floor_float": 6.962990320599722 + }, + "r=[69/512,35/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1187489463605902871397/18446744073709551616", + "floor_float": 64.37393281225832 + }, + "r=[69/512,35/256],b=[0,1/8],k=[3/4,1]": { + "floor": "293631736631013825001/18446744073709551616", + "floor_float": 15.917808338301834 + }, + "r=[69/512,35/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "205901298703966895547/4611686018427387904", + "floor_float": 44.64772707448554 + }, + "r=[69/512,35/256],b=[0,1/8],k=[7/4,2]": { + "floor": "808349611949056812541/9223372036854775808", + "floor_float": 87.64144054029819 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "456608718612696041093/9223372036854775808", + "floor_float": 49.50561646957075 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "111680332449432261681/9223372036854775808", + "floor_float": 12.108405906557783 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2063819371832673755179/18446744073709551616", + "floor_float": 111.8798723279327 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "127590293044310942525/4611686018427387904", + "floor_float": 27.666734581340815 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "715632740878960781645/9223372036854775808", + "floor_float": 77.58905723627254 + }, + "r=[69/512,35/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2810195958878332369653/18446744073709551616", + "floor_float": 152.34102818629367 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "698637492251436937193/18446744073709551616", + "floor_float": 37.87321434394163 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "170828624464889454257/18446744073709551616", + "floor_float": 9.260638288377177 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "789386472642083470919/9223372036854775808", + "floor_float": 85.5854528569216 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "195202773987730923385/9223372036854775808", + "floor_float": 21.163927163269477 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "547471657879674092919/9223372036854775808", + "floor_float": 59.35699608473835 + }, + "r=[69/512,35/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2149574369717729860493/18446744073709551616", + "floor_float": 116.52866007835608 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "607189089172944348889/18446744073709551616", + "floor_float": 32.915786479540046 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "148442998336720190571/18446744073709551616", + "floor_float": 8.047111064346707 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1372090330145442044617/18446744073709551616", + "floor_float": 74.38116583950206 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "1325359219744212763/72057594037927936", + "floor_float": 18.393054020740717 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "951627481545014237837/18446744073709551616", + "floor_float": 51.587829144400686 + }, + "r=[69/512,35/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "934046086175947953485/9223372036854775808", + "floor_float": 101.26947958335455 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "587345449320589898057/9223372036854775808", + "floor_float": 63.68012121528583 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "8978022494961724015/576460752303423488", + "floor_float": 15.574386389857969 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2654986662532766960151/18446744073709551616", + "floor_float": 143.92711537190323 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "328221447362154772149/9223372036854775808", + "floor_float": 35.585840628638486 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "920573571076640173713/9223372036854775808", + "floor_float": 99.80878656940322 + }, + "r=[69/512,35/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3615411062776254904145/18446744073709551616", + "floor_float": 195.9918264345071 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "800376565179620355539/18446744073709551616", + "floor_float": 43.38850053871152 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "48936195323709349423/4611686018427387904", + "floor_float": 10.611345856628132 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "226092885126979630149/2305843009213693952", + "floor_float": 98.05215889527476 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "223641791679839741491/9223372036854775808", + "floor_float": 24.247291639783285 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "627201380889465826945/9223372036854775808", + "floor_float": 68.00130997462672 + }, + "r=[69/512,35/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2462779864942828341233/18446744073709551616", + "floor_float": 133.50756399622858 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1037790903810805015665/18446744073709551616", + "floor_float": 56.2587576248685 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "7931939575962219075/576460752303423488", + "floor_float": 13.759721792451183 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2345437140213795839225/18446744073709551616", + "floor_float": 127.14640214239931 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "289981833686131413083/9223372036854775808", + "floor_float": 31.43989340638339 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1626525844323166994567/18446744073709551616", + "floor_float": 88.17414270094986 + }, + "r=[69/512,35/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3193771155289594749139/18446744073709551616", + "floor_float": 173.1346812493259 + }, + "r=[69/512,35/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1324657049655378153933/18446744073709551616", + "floor_float": 71.80980255172999 + }, + "r=[69/512,35/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "161984097856180132339/9223372036854775808", + "floor_float": 17.562351080377503 + }, + "r=[69/512,35/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1497101636207235056309/9223372036854775808", + "floor_float": 162.31608464074876 + }, + "r=[69/512,35/256],b=[7/8,1],k=[3/4,1]": { + "floor": "740233972837832440733/18446744073709551616", + "floor_float": 40.12816407491769 + }, + "r=[69/512,35/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2076304605322979892593/18446744073709551616", + "floor_float": 112.55669819164163 + }, + "r=[69/512,35/256],b=[7/8,1],k=[7/4,2]": { + "floor": "509684665147275492517/2305843009213693952", + "floor_float": 221.04048849408917 + }, + "r=[7/16,225/512],b=[0,1/8],k=[1,5/4]": { + "floor": "334839989210357149065/18446744073709551616", + "floor_float": 18.151712186844605 + }, + "r=[7/16,225/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "76019561264091945073/18446744073709551616", + "floor_float": 4.121028673696169 + }, + "r=[7/16,225/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "757862683462426106191/18446744073709551616", + "floor_float": 41.08381839278283 + }, + "r=[7/16,225/512],b=[0,1/8],k=[3/4,1]": { + "floor": "183710204516075727671/18446744073709551616", + "floor_float": 9.958950142204282 + }, + "r=[7/16,225/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "4117369091646857581/144115188075855872", + "floor_float": 28.569987290164423 + }, + "r=[7/16,225/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1025037224014446402685/18446744073709551616", + "floor_float": 55.56737925774868 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "604022391047627199321/18446744073709551616", + "floor_float": 32.744119430186316 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "17117904209049865865/2305843009213693952", + "floor_float": 7.42370757274025 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1371320717087786891537/18446744073709551616", + "floor_float": 74.33944503204792 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "330999736572801685721/18446744073709551616", + "floor_float": 17.943531674218065 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "476009290716282162959/9223372036854775808", + "floor_float": 51.60903071178772 + }, + "r=[7/16,225/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "464526560122025426313/4611686018427387904", + "floor_float": 100.72814113230365 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "226950893149077059399/9223372036854775808", + "floor_float": 24.60606513997549 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "25748195913467517519/4611686018427387904", + "floor_float": 5.583249989392774 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1028944805179011388513/18446744073709551616", + "floor_float": 55.77920965713791 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "248900639651893956333/18446744073709551616", + "floor_float": 13.492930712180756 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "714927981096038197637/18446744073709551616", + "floor_float": 38.75632351375001 + }, + "r=[7/16,225/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1392966923883831304647/18446744073709551616", + "floor_float": 75.51288825376501 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "390728099829200800775/18446744073709551616", + "floor_float": 21.181412734297627 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "88686612991899945489/18446744073709551616", + "floor_float": 4.807710923809954 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "221265059058911609117/4611686018427387904", + "floor_float": 47.97921154536108 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "214328639822098198925/18446744073709551616", + "floor_float": 11.618778846049103 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "307602314406186267215/9223372036854775808", + "floor_float": 33.35030975407563 + }, + "r=[7/16,225/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1197596922377891245241/18446744073709551616", + "floor_float": 64.92185925020318 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "197428920985558600711/4611686018427387904", + "floor_float": 42.81057300880233 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "44718131596016473709/4611686018427387904", + "floor_float": 9.696699085178748 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1795650183713200259385/18446744073709551616", + "floor_float": 97.34239151029234 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "216247189643206570177/9223372036854775808", + "floor_float": 23.445567280504942 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1245624889932862801297/18446744073709551616", + "floor_float": 67.52546058836136 + }, + "r=[7/16,225/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2435143166163705970631/18446744073709551616", + "floor_float": 132.00937555339598 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "524745195891461040883/18446744073709551616", + "floor_float": 28.446494069342684 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "59511062706550933383/9223372036854775808", + "floor_float": 6.45220234733636 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "148806227095383960185/2305843009213693952", + "floor_float": 64.53441387847465 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "143829193371146671733/9223372036854775808", + "floor_float": 15.593992391983493 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "826803877482514285419/18446744073709551616", + "floor_float": 44.821128009299045 + }, + "r=[7/16,225/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "201542423908558437437/2305843009213693952", + "floor_float": 87.40509353986141 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "346079537454937005479/9223372036854775808", + "floor_float": 37.52201863614212 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "156850082220914914853/18446744073709551616", + "floor_float": 8.502859994922296 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1572601067401212314309/18446744073709551616", + "floor_float": 85.25087468647088 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "379185941054457590673/18446744073709551616", + "floor_float": 20.555711053360167 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1091347505584687419605/18446744073709551616", + "floor_float": 59.162066824577714 + }, + "r=[7/16,225/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1065909855150249159437/9223372036854775808", + "floor_float": 115.56617806276095 + }, + "r=[7/16,225/512],b=[7/8,1],k=[1,5/4]": { + "floor": "448674784904172025131/9223372036854775808", + "floor_float": 48.64541765325697 + }, + "r=[7/16,225/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "203154737899967441093/18446744073709551616", + "floor_float": 11.013040409093398 + }, + "r=[7/16,225/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "510495199986513237917/4611686018427387904", + "floor_float": 110.69600097375994 + }, + "r=[7/16,225/512],b=[7/8,1],k=[3/4,1]": { + "floor": "491298673863081379829/18446744073709551616", + "floor_float": 26.633354477080008 + }, + "r=[7/16,225/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "707995485966782923291/9223372036854775808", + "floor_float": 76.76102439951165 + }, + "r=[7/16,225/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2770428997348183437743/18446744073709551616", + "floor_float": 150.18525688208692 + }, + "r=[7/32,113/512],b=[0,1/8],k=[1,5/4]": { + "floor": "482516240413429826723/18446744073709551616", + "floor_float": 26.15725780578893 + }, + "r=[7/32,113/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "115731037142075231337/18446744073709551616", + "floor_float": 6.273792094671928 + }, + "r=[7/32,113/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "547400955671501128361/9223372036854775808", + "floor_float": 59.349330535968285 + }, + "r=[7/32,113/512],b=[0,1/8],k=[3/4,1]": { + "floor": "134043318672820637787/9223372036854775808", + "floor_float": 14.533005731223891 + }, + "r=[7/32,113/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "379159909314909936995/9223372036854775808", + "floor_float": 41.10859973986322 + }, + "r=[7/32,113/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1491249318756591657205/18446744073709551616", + "floor_float": 80.84078755567126 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "844061036381248655965/18446744073709551616", + "floor_float": 45.75664046774581 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "202627622476741238627/18446744073709551616", + "floor_float": 10.984465424742774 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "957811406449549581033/9223372036854775808", + "floor_float": 103.84612077039982 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "469035182793361452245/18446744073709551616", + "floor_float": 25.42644820783491 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "331653844089819453623/4611686018427387904", + "floor_float": 71.9159636550702 + }, + "r=[7/32,113/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "652503951130185388559/4611686018427387904", + "floor_float": 141.4892402741445 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "643692221866375729759/18446744073709551616", + "floor_float": 34.8946252679773 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "19307803984180502885/2305843009213693952", + "floor_float": 8.373425210229112 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "730343924645748110373/9223372036854775808", + "floor_float": 79.18404697625097 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "357665052360357943285/18446744073709551616", + "floor_float": 19.38906133956209 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "126457121521032170545/2305843009213693952", + "floor_float": 54.842034351746605 + }, + "r=[7/32,113/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1989917101168235625427/18446744073709551616", + "floor_float": 107.87362220763292 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "558486811379958411545/18446744073709551616", + "floor_float": 30.275630710132653 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "33497303256196067719/4611686018427387904", + "floor_float": 7.263569792554708 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "633616876045698981989/9223372036854775808", + "floor_float": 68.69687935322254 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "310313019854862463611/18446744073709551616", + "floor_float": 16.82210251385897 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "877720509138138386915/18446744073709551616", + "floor_float": 47.58132414213264 + }, + "r=[7/32,113/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1726248036930995141601/18446744073709551616", + "floor_float": 93.58009359447111 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1088892188539702688371/18446744073709551616", + "floor_float": 59.02896382086206 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "65362295663806570047/4611686018427387904", + "floor_float": 14.17318859146779 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1235807945237712756387/9223372036854775808", + "floor_float": 133.98656590015756 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "302559363251408805677/9223372036854775808", + "floor_float": 32.80355189430083 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1711494075559836671441/18446744073709551616", + "floor_float": 92.78027974590225 + }, + "r=[7/32,113/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3367955974269436544579/18446744073709551616", + "floor_float": 182.57725920692283 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "738610146986298139935/18446744073709551616", + "floor_float": 40.04013629911911 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "177278767080488003299/18446744073709551616", + "floor_float": 9.610301220210841 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "838095739535660110803/9223372036854775808", + "floor_float": 90.86652215554082 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "410424423515719542857/18446744073709551616", + "floor_float": 22.249152580842694 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1160858191851142079621/18446744073709551616", + "floor_float": 62.93024867763014 + }, + "r=[7/32,113/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2283645554204416921605/18446744073709551616", + "floor_float": 123.79667355276463 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "960623217646678861273/18446744073709551616", + "floor_float": 52.07548897562724 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "230647266988070961831/18446744073709551616", + "floor_float": 12.503413397315535 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1090163226468582980561/9223372036854775808", + "floor_float": 118.19573385010446 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "266910441835196234359/9223372036854775808", + "floor_float": 28.93848808967856 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "188731962878098243709/2305843009213693952", + "floor_float": 81.84944166795508 + }, + "r=[7/32,113/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2970856377213114607533/18446744073709551616", + "floor_float": 161.0504469158437 + }, + "r=[7/32,113/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1229637830488054968177/18446744073709551616", + "floor_float": 66.65880035927559 + }, + "r=[7/32,113/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "295200030767361875581/18446744073709551616", + "floor_float": 16.002825733788075 + }, + "r=[7/32,113/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2791285570717327955593/18446744073709551616", + "floor_float": 151.3158939899584 + }, + "r=[7/32,113/512],b=[7/8,1],k=[3/4,1]": { + "floor": "683343286917047549477/18446744073709551616", + "floor_float": 37.044113811442415 + }, + "r=[7/32,113/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1932763452014072203551/18446744073709551616", + "floor_float": 104.775316678712 + }, + "r=[7/32,113/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1901895174949641471829/9223372036854775808", + "floor_float": 206.20388805200997 + }, + "r=[71/256,143/512],b=[0,1/8],k=[1,5/4]": { + "floor": "223647124837963461115/9223372036854775808", + "floor_float": 24.24786986194568 + }, + "r=[71/256,143/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "1652397935862577707/288230376151711744", + "floor_float": 5.732906981992864 + }, + "r=[71/256,143/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1016702139917680774485/18446744073709551616", + "floor_float": 55.11553344347054 + }, + "r=[71/256,143/512],b=[0,1/8],k=[3/4,1]": { + "floor": "247526756204921162319/18446744073709551616", + "floor_float": 13.418452341283267 + }, + "r=[71/256,143/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "704026833695399943169/18446744073709551616", + "floor_float": 38.16537112903218 + }, + "r=[71/256,143/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1384358312219933309703/18446744073709551616", + "floor_float": 75.0462144803609 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "24602747686581331601/576460752303423488", + "floor_float": 42.678963985446714 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "93148599949838205415/9223372036854775808", + "floor_float": 10.099191442959773 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1790611984719882076133/18446744073709551616", + "floor_float": 97.06927019559384 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "108928073196763074827/4611686018427387904", + "floor_float": 23.620010720918113 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1239439953154777038431/18446744073709551616", + "floor_float": 67.19017449378705 + }, + "r=[71/256,143/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1219613992504654195361/9223372036854775808", + "floor_float": 132.2308140267266 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "598636031911980914277/18446744073709551616", + "floor_float": 32.452124316353576 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "141602311456252387265/18446744073709551616", + "floor_float": 7.676276685491893 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1361097532249707457477/18446744073709551616", + "floor_float": 73.78524507148958 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "331301637694463184133/18446744073709551616", + "floor_float": 17.959897766817125 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "942332523556048605669/18446744073709551616", + "floor_float": 51.083948462160784 + }, + "r=[71/256,143/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "463416708414398228109/4611686018427387904", + "floor_float": 100.48748040579441 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "518561375709646846141/18446744073709551616", + "floor_float": 28.11126850557355 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "122639714737916567795/18446744073709551616", + "floor_float": 6.648312257592584 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1178836250067140327001/18446744073709551616", + "floor_float": 63.90484116637295 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "143492555906767825931/9223372036854775808", + "floor_float": 15.557494084961538 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "102028974487386102341/2305843009213693952", + "floor_float": 44.248014318276844 + }, + "r=[71/256,143/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "802644705393082096675/9223372036854775808", + "floor_float": 87.02291333211673 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "127295499062836584287/2305843009213693952", + "floor_float": 55.205622652621564 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "241051909576385819017/18446744073709551616", + "floor_float": 13.067450202224844 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2316791093784502559085/18446744073709551616", + "floor_float": 125.59349685381129 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "563612504929094899599/18446744073709551616", + "floor_float": 30.55349511420609 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1603382281641373026417/18446744073709551616", + "floor_float": 86.91952765401707 + }, + "r=[71/256,143/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3156728461655794730491/18446744073709551616", + "floor_float": 171.12659280370184 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "687945397640016797041/18446744073709551616", + "floor_float": 37.29359473363552 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "10172430738085141053/1152921504606846976", + "floor_float": 8.823177204552186 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "195552663806245249123/2305843009213693952", + "floor_float": 84.80744917362343 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "380731583855255478491/18446744073709551616", + "floor_float": 20.63950051748575 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "135372055246222336117/2305843009213693952", + "floor_float": 58.7082705567128 + }, + "r=[71/256,143/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2130821108717955081279/18446744073709551616", + "floor_float": 115.5120437624989 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "897227540446028342013/18446744073709551616", + "floor_float": 48.63880242827049 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "106173429697378232147/9223372036854775808", + "floor_float": 11.511346313813446 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "63779996851674716843/576460752303423488", + "floor_float": 110.64065783632698 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "62069936552124849439/2305843009213693952", + "floor_float": 26.918544022340473 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "706296236218434545141/9223372036854775808", + "floor_float": 76.57679137263618 + }, + "r=[71/256,143/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2780618261674022728381/18446744073709551616", + "floor_float": 150.73761800799213 + }, + "r=[71/256,143/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1151437647523164297097/18446744073709551616", + "floor_float": 62.41955994631066 + }, + "r=[71/256,143/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "136279047240373171149/9223372036854775808", + "floor_float": 14.775403908226728 + }, + "r=[71/256,143/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "81873864816845481661/576460752303423488", + "floor_float": 142.02851536673342 + }, + "r=[71/256,143/512],b=[7/8,1],k=[3/4,1]": { + "floor": "318626388583748716739/9223372036854775808", + "floor_float": 34.54554227137109 + }, + "r=[71/256,143/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1813032149531460642743/18446744073709551616", + "floor_float": 98.28466976540368 + }, + "r=[71/256,143/512],b=[7/8,1],k=[7/4,2]": { + "floor": "892543243037438525575/4611686018427387904", + "floor_float": 193.53946462768968 + }, + "r=[71/512,9/64],b=[0,1/8],k=[1,5/4]": { + "floor": "523714240147164197837/18446744073709551616", + "floor_float": 28.39060584645753 + }, + "r=[71/512,9/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "31974950242268558477/4611686018427387904", + "floor_float": 6.933462103556695 + }, + "r=[71/512,9/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1183699007371663986227/18446744073709551616", + "floor_float": 64.16845176806466 + }, + "r=[71/512,9/64],b=[0,1/8],k=[3/4,1]": { + "floor": "73138988134755617307/4611686018427387904", + "floor_float": 15.859489965818714 + }, + "r=[71/512,9/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "410457648416022542797/9223372036854775808", + "floor_float": 44.5019074125943 + }, + "r=[71/512,9/64],b=[0,1/8],k=[7/4,2]": { + "floor": "1611609078196983549073/18446744073709551616", + "floor_float": 87.36550318892654 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "910340399323524090799/18446744073709551616", + "floor_float": 49.34965193239432 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "55620084817222200535/4611686018427387904", + "floor_float": 12.060683358532065 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1028879092286406195329/9223372036854775808", + "floor_float": 111.55129470818353 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "508622774053067387099/18446744073709551616", + "floor_float": 27.572495830196974 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "713475803003165886617/9223372036854775808", + "floor_float": 77.35520156318722 + }, + "r=[71/512,9/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1401033098297627479607/9223372036854775808", + "floor_float": 151.9003128898385 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "348176783319862927383/9223372036854775808", + "floor_float": 37.749402488441014 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "21266199756600584219/2305843009213693952", + "floor_float": 9.222743990646824 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1573945795406009738593/18446744073709551616", + "floor_float": 85.32377253768105 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "389029601724576607053/18446744073709551616", + "floor_float": 21.089336967547826 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "272877555557197418721/4611686018427387904", + "floor_float": 59.170887711529474 + }, + "r=[71/512,9/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1071547838627168487773/9223372036854775808", + "floor_float": 116.17744945617228 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "605164627784058130861/18446744073709551616", + "floor_float": 32.806040207742875 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "147825091828017950989/18446744073709551616", + "floor_float": 8.013614285390313 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1367800668553063996851/18446744073709551616", + "floor_float": 74.14862281861787 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "338073487819495648641/18446744073709551616", + "floor_float": 18.327000497682445 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "237145129127526838281/4611686018427387904", + "floor_float": 51.42265283888401 + }, + "r=[71/512,9/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1862330707924039810063/18446744073709551616", + "floor_float": 100.95714997088557 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1171129198210470113375/18446744073709551616", + "floor_float": 63.48704104804993 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "17887001878704321103/1152921504606846976", + "floor_float": 15.514501036914819 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2647480822764289252727/18446744073709551616", + "floor_float": 143.52022298273766 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "654285997880702715801/18446744073709551616", + "floor_float": 35.4689150164552 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1835799684617762549769/18446744073709551616", + "floor_float": 99.5189003155391 + }, + "r=[71/512,9/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3605352216602491645027/18446744073709551616", + "floor_float": 195.44653529079253 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "797805914435470344503/18446744073709551616", + "floor_float": 43.24914528263607 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "194957698576977080343/18446744073709551616", + "floor_float": 10.568678016996634 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1803318356098812096713/18446744073709551616", + "floor_float": 97.75808396826604 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "222867960821320268557/9223372036854775808", + "floor_float": 24.16339272998897 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "625272072694830432553/9223372036854775808", + "floor_float": 67.79213396102494 + }, + "r=[71/512,9/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2455500120948703632077/18446744073709551616", + "floor_float": 133.11292828355016 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "517289182054996634861/9223372036854775808", + "floor_float": 56.0846054987277 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "252832268705034150821/18446744073709551616", + "floor_float": 13.706064750221842 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2338676629023968127735/18446744073709551616", + "floor_float": 126.77991409644312 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "578026700062601628509/18446744073709551616", + "floor_float": 31.334890198124988 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1621711478259322275203/18446744073709551616", + "floor_float": 87.9131553936718 + }, + "r=[71/512,9/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3184709181747834894213/18446744073709551616", + "floor_float": 172.64343067927678 + }, + "r=[71/512,9/64],b=[7/8,1],k=[1,5/4]": { + "floor": "660352688965997677265/9223372036854775808", + "floor_float": 71.59558199835793 + }, + "r=[71/512,9/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "322738380694944810385/18446744073709551616", + "floor_float": 17.495682674695647 + }, + "r=[71/512,9/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "23327288737359257651/144115188075855872", + "floor_float": 161.8655816143459 + }, + "r=[71/512,9/64],b=[7/8,1],k=[3/4,1]": { + "floor": "368918963506004773831/9223372036854775808", + "floor_float": 39.99827417043109 + }, + "r=[71/512,9/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1035196512956388654001/9223372036854775808", + "floor_float": 112.23623082967352 + }, + "r=[71/512,9/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1016586622654877115673/4611686018427387904", + "floor_float": 220.4370849604239 + }, + "r=[73/256,147/512],b=[0,1/8],k=[1,5/4]": { + "floor": "110580541790425034677/4611686018427387904", + "floor_float": 23.978332728760588 + }, + "r=[73/256,147/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "1630791402649532393/288230376151711744", + "floor_float": 5.657944261194579 + }, + "r=[73/256,147/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1005531869384883843527/18446744073709551616", + "floor_float": 54.50999186452508 + }, + "r=[73/256,147/512],b=[0,1/8],k=[3/4,1]": { + "floor": "122323823335949682215/9223372036854775808", + "floor_float": 13.262375500756969 + }, + "r=[73/256,147/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "696305285038542870739/18446744073709551616", + "floor_float": 37.746785137596326 + }, + "r=[73/256,147/512],b=[0,1/8],k=[7/4,2]": { + "floor": "342246263505627133831/4611686018427387904", + "floor_float": 74.21282848356947 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "779244450943257153925/18446744073709551616", + "floor_float": 42.242926330497674 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "46007096170064101561/4611686018427387904", + "floor_float": 9.976198723466606 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "886334474135658593357/9223372036854775808", + "floor_float": 96.09657624066782 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "107757480879013082641/4611686018427387904", + "floor_float": 23.366178974118238 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "306750187420031371151/4611686018427387904", + "floor_float": 66.51584392222674 + }, + "r=[73/256,147/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1207285366900532590915/9223372036854775808", + "floor_float": 130.8941417603517 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "148059936413163142867/4611686018427387904", + "floor_float": 32.10538094344342 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "139815873335480447599/18446744073709551616", + "floor_float": 7.579433680914301 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1346771166898863959741/18446744073709551616", + "floor_float": 73.00861124962931 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "327592327872345390515/18446744073709551616", + "floor_float": 17.758815678439028 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "466210414725111477579/9223372036854775808", + "floor_float": 50.54663444803339 + }, + "r=[73/256,147/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "917010581228338791077/9223372036854775808", + "floor_float": 99.422486435996 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "128225614738580612963/4611686018427387904", + "floor_float": 27.804498013571685 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "121062162657110209753/18446744073709551616", + "floor_float": 6.56279298793162 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "72887001707777944447/1152921504606846976", + "floor_float": 63.21939647802201 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "283701589968918141653/18446744073709551616", + "floor_float": 15.379494009094643 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "12616849028779259839/288230376151711744", + "floor_float": 43.77348840615712 + }, + "r=[73/256,147/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1587915735899116874847/18446744073709551616", + "floor_float": 86.08108452928705 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "63020792382256995251/1152921504606846976", + "floor_float": 54.66182401008077 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "14887662830186664315/1152921504606846976", + "floor_float": 12.91298910697606 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1147280528822203555327/9223372036854775808", + "floor_float": 124.38840417993515 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "139439774432363409941/4611686018427387904", + "floor_float": 30.23618127409142 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "793961029133402270355/9223372036854775808", + "floor_float": 86.08142726552616 + }, + "r=[73/256,147/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1563140736109197065111/9223372036854775808", + "floor_float": 169.4760581990182 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "42547542371206361845/1152921504606846976", + "floor_float": 36.90411029822479 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "160742271128209637859/18446744073709551616", + "floor_float": 8.713855978372944 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "387088181015414034403/4611686018427387904", + "floor_float": 83.93636936007482 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "376557247127242959657/18446744073709551616", + "floor_float": 20.413209270025888 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1071850765560251856973/18446744073709551616", + "floor_float": 58.105146430033805 + }, + "r=[73/256,147/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2108734066307549394995/18446744073709551616", + "floor_float": 114.31470279424184 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "888238587992445237217/18446744073709551616", + "floor_float": 48.151510339343304 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "209796960629813961889/18446744073709551616", + "floor_float": 11.373116024785007 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2020975665254212072563/18446744073709551616", + "floor_float": 109.55731034044771 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "491314067732322812355/18446744073709551616", + "floor_float": 26.634188980403735 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1398721316097343985575/18446744073709551616", + "floor_float": 75.82483448072621 + }, + "r=[73/256,147/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2753179662542374789425/18446744073709551616", + "floor_float": 149.25016856856755 + }, + "r=[73/256,147/512],b=[7/8,1],k=[1,5/4]": { + "floor": "570159949691996882235/9223372036854775808", + "floor_float": 61.81686561202889 + }, + "r=[73/256,147/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "269400038682647385899/18446744073709551616", + "floor_float": 14.604205360370262 + }, + "r=[73/256,147/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2595308481268830038623/18446744073709551616", + "floor_float": 140.69195468308604 + }, + "r=[73/256,147/512],b=[7/8,1],k=[3/4,1]": { + "floor": "630754792001278074127/18446744073709551616", + "floor_float": 34.19328578967141 + }, + "r=[73/256,147/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1795899355679304465627/18446744073709551616", + "floor_float": 97.35589914964098 + }, + "r=[73/256,147/512],b=[7/8,1],k=[7/4,2]": { + "floor": "884098275439582525613/4611686018427387904", + "floor_float": 191.70825418445665 + }, + "r=[73/512,37/256],b=[0,1/8],k=[1,5/4]": { + "floor": "521907450909187796933/18446744073709551616", + "floor_float": 28.292659605605657 + }, + "r=[73/512,37/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "127350394711189754933/18446744073709551616", + "floor_float": 6.903678730637921 + }, + "r=[73/512,37/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "589930773808444557271/9223372036854775808", + "floor_float": 63.96042265791703 + }, + "r=[73/512,37/256],b=[0,1/8],k=[3/4,1]": { + "floor": "145734846414792265767/9223372036854775808", + "floor_float": 15.80060370897591 + }, + "r=[73/512,37/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "818195233839095206649/18446744073709551616", + "floor_float": 44.35445250228162 + }, + "r=[73/512,37/256],b=[0,1/8],k=[7/4,2]": { + "floor": "803225088812202879963/9223372036854775808", + "floor_float": 87.08583862850526 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "907429517287884247779/18446744073709551616", + "floor_float": 49.19185270104983 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "110796124017855465815/9223372036854775808", + "floor_float": 12.012539836313227 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1025807033099474921755/9223372036854775808", + "floor_float": 111.21822138373605 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "126716531187374163271/4611686018427387904", + "floor_float": 27.47726768063565 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1422582237808950407269/18446744073709551616", + "floor_float": 77.11833763858773 + }, + "r=[73/512,37/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2793819233709540680341/18446744073709551616", + "floor_float": 151.45324413598357 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "694041647858982192695/18446744073709551616", + "floor_float": 37.6240731202064 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "84712401072135555867/9223372036854775808", + "floor_float": 9.184536927887274 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "392263438146114279315/4611686018427387904", + "floor_float": 85.05857436493008 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "193820108598975339075/9223372036854775808", + "floor_float": 21.014018281438545 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "272008757588277502345/4611686018427387904", + "floor_float": 58.98249718245868 + }, + "r=[73/512,37/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2136523692116206458335/18446744073709551616", + "floor_float": 115.8211814279571 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "603115316035644949633/18446744073709551616", + "floor_float": 32.69494679525639 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "9200085546856706087/1152921504606846976", + "floor_float": 7.979802189563625 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "681725254689822267991/9223372036854775808", + "floor_float": 73.9128002172939 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "336841533706858849859/18446744073709551616", + "floor_float": 18.260216131416282 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "472746128250680123263/9223372036854775808", + "floor_float": 51.25523792834983 + }, + "r=[73/512,37/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1856483787247543864741/18446744073709551616", + "floor_float": 100.6401877658952 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "583762658065141199595/9223372036854775808", + "floor_float": 63.29167420901388 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "285077234487708785515/18446744073709551616", + "floor_float": 15.454067847886671 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1319936736937633429629/9223372036854775808", + "floor_float": 143.107827773121 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "163026508085262469443/4611686018427387904", + "floor_float": 35.35073884775345 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "915191829936043792863/9223372036854775808", + "floor_float": 99.2252970257643 + }, + "r=[73/512,37/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1797574795987212557115/9223372036854775808", + "floor_float": 194.89344990145233 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "795203918926858134001/18446744073709551616", + "floor_float": 43.10809082347433 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "194163201284467543837/18446744073709551616", + "floor_float": 10.525608232468 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1797818173159807307355/18446744073709551616", + "floor_float": 97.4599184536892 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "444168240337076023735/18446744073709551616", + "floor_float": 24.078408556126075 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1246634918245930626643/18446744073709551616", + "floor_float": 67.58021433292636 + }, + "r=[73/512,37/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2448114301157179997019/18446744073709551616", + "floor_float": 132.71254219037235 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "257831770518759925619/4611686018427387904", + "floor_float": 55.90835314644471 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "251833214465908986125/18446744073709551616", + "floor_float": 13.651905911397325 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "582957061246316027101/4611686018427387904", + "floor_float": 126.40866245380423 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "288034349001987834377/9223372036854775808", + "floor_float": 31.22874669384032 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1616835909667346654075/18446744073709551616", + "floor_float": 87.6488502906957 + }, + "r=[73/512,37/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3175524964727901636935/18446744073709551616", + "floor_float": 172.14555327699728 + }, + "r=[73/512,37/256],b=[7/8,1],k=[1,5/4]": { + "floor": "329177443395483642761/4611686018427387904", + "floor_float": 71.37897985252151 + }, + "r=[73/512,37/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "321497174821449830041/18446744073709551616", + "floor_float": 17.428396769468396 + }, + "r=[73/512,37/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2977477455842905673263/18446744073709551616", + "floor_float": 161.40937630757455 + }, + "r=[73/512,37/256],b=[7/8,1],k=[3/4,1]": { + "floor": "367708512352632595679/9223372036854775808", + "floor_float": 39.86703679341372 + }, + "r=[73/512,37/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "258050872855955762933/2305843009213693952", + "floor_float": 111.91172678488317 + }, + "r=[73/512,37/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4055067752233824149403/18446744073709551616", + "floor_float": 219.82566332739117 + }, + "r=[75/256,151/512],b=[0,1/8],k=[1,5/4]": { + "floor": "437282310849446401443/18446744073709551616", + "floor_float": 23.705121570622573 + }, + "r=[75/256,151/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "51489805690711306265/9223372036854775808", + "floor_float": 5.582535919072569 + }, + "r=[75/256,151/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "994163845924611503507/18446744073709551616", + "floor_float": 53.89373007790041 + }, + "r=[75/256,151/512],b=[0,1/8],k=[3/4,1]": { + "floor": "60434747132650137781/4611686018427387904", + "floor_float": 13.104696826966277 + }, + "r=[75/256,151/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "172115196826576466141/4611686018427387904", + "floor_float": 37.32153406342888 + }, + "r=[75/256,151/512],b=[0,1/8],k=[7/4,2]": { + "floor": "42291330461098816051/576460752303423488", + "floor_float": 73.36376378116117 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "48192789688403418185/1152921504606846976", + "floor_float": 41.8005818226432 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "181739450668171696563/18446744073709551616", + "floor_float": 9.852115362037695 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "877205449625019495003/9223372036854775808", + "floor_float": 95.10680541995698 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "426290552280180552119/18446744073709551616", + "floor_float": 23.10925714461086 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "607180190491019473733/9223372036854775808", + "floor_float": 65.83060816205257 + }, + "r=[75/256,151/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2389450984154458529173/18446744073709551616", + "floor_float": 129.53239740339453 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "585752744747037743235/18446744073709551616", + "floor_float": 31.753719919704274 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "8625816016198903423/1152921504606846976", + "floor_float": 7.4817027713784885 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1332291705626381528207/18446744073709551616", + "floor_float": 72.22367808122705 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "10119913917829567349/576460752303423488", + "floor_float": 17.555252248123374 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "922387678381233220301/18446744073709551616", + "floor_float": 50.00273623873969 + }, + "r=[75/256,151/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1814118170777959195863/18446744073709551616", + "floor_float": 98.34354309514464 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "31699678202362970969/1152921504606846976", + "floor_float": 27.495087979274658 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "14934173722303104433/2305843009213693952", + "floor_float": 6.4766654375987835 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "576673446234772958337/9223372036854775808", + "floor_float": 62.523060322244355 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "140198200664843735759/9223372036854775808", + "floor_float": 15.200319373938227 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "798609877044939375059/18446744073709551616", + "floor_float": 43.29272818302524 + }, + "r=[75/256,151/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1570228346225378897829/18446744073709551616", + "floor_float": 85.12224921379384 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "249547518710163177199/4611686018427387904", + "floor_float": 54.1119923847852 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "235325813982837430241/18446744073709551616", + "floor_float": 12.757037938105602 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "568000065615560843955/4611686018427387904", + "floor_float": 123.16538102246002 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "275919312581274965431/9223372036854775808", + "floor_float": 29.91523181313253 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1572272091690230940919/18446744073709551616", + "floor_float": 85.23304087744383 + }, + "r=[75/256,151/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3095304531569210458699/18446744073709551616", + "floor_float": 167.79679488157822 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "336735837473683130719/9223372036854775808", + "floor_float": 36.5089726542693 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "158707190383166492063/18446744073709551616", + "floor_float": 8.603534030124983 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1531994239336840590961/18446744073709551616", + "floor_float": 83.04957412621403 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "372331256242453851079/18446744073709551616", + "floor_float": 20.184117845116276 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1060546418892973831477/18446744073709551616", + "floor_float": 57.4923365692742 + }, + "r=[75/256,151/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2086260619528469720843/18446744073709551616", + "floor_float": 113.09641480318606 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "109891398340793309503/2305843009213693952", + "floor_float": 47.65779712742322 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "3237972474441244493/288230376151711744", + "floor_float": 11.233973731959878 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "500161391038580695811/4611686018427387904", + "floor_float": 108.45521335148023 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "486016588917891780217/18446744073709551616", + "floor_float": 26.34701207843863 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "346158829297485587009/4611686018427387904", + "floor_float": 75.06123094987456 + }, + "r=[75/256,151/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2725228895162419453783/18446744073709551616", + "floor_float": 147.73495443276832 + }, + "r=[75/256,151/512],b=[7/8,1],k=[1,5/4]": { + "floor": "141130033777201267227/2305843009213693952", + "floor_float": 61.205395689677694 + }, + "r=[75/256,151/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "66549230175591513217/4611686018427387904", + "floor_float": 14.430563986722841 + }, + "r=[75/256,151/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1285136822416314636353/9223372036854775808", + "floor_float": 139.33481348048863 + }, + "r=[75/256,151/512],b=[7/8,1],k=[3/4,1]": { + "floor": "624172543227773605517/18446744073709551616", + "floor_float": 33.83646136866773 + }, + "r=[75/256,151/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "222311455952027215117/2305843009213693952", + "floor_float": 96.41222540464138 + }, + "r=[75/256,151/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3502119414761533081893/18446744073709551616", + "floor_float": 189.85027388940588 + }, + "r=[75/512,19/128],b=[0,1/8],k=[1,5/4]": { + "floor": "260039767564698334551/9223372036854775808", + "floor_float": 28.193568092627153 + }, + "r=[75/512,19/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "63398322665309474225/9223372036854775808", + "floor_float": 6.873659916566552 + }, + "r=[75/512,19/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "146996350713255552153/2305843009213693952", + "floor_float": 63.74950511630112 + }, + "r=[75/512,19/128],b=[0,1/8],k=[3/4,1]": { + "floor": "145186318747474472395/9223372036854775808", + "floor_float": 15.741132220118475 + }, + "r=[75/512,19/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "815440148659090796673/18446744073709551616", + "floor_float": 44.205099035404444 + }, + "r=[75/512,19/128],b=[0,1/8],k=[7/4,2]": { + "floor": "800607548645412854097/9223372036854775808", + "floor_float": 86.80204435496508 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "904483821576873610073/18446744073709551616", + "floor_float": 49.032166216581885 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "220692810445752445583/18446744073709551616", + "floor_float": 11.96378122686082 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2045386129233560540369/18446744073709551616", + "floor_float": 110.88060424433715 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "505090386215726299609/18446744073709551616", + "floor_float": 27.381004701831646 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "709078341310211048895/9223372036854775808", + "floor_float": 76.87842781109488 + }, + "r=[75/512,19/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2785453962466897402317/18446744073709551616", + "floor_float": 150.99976187324833 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "691701882949964694251/18446744073709551616", + "floor_float": 37.49723421033329 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "84356796865856657871/9223372036854775808", + "floor_float": 9.145982242588017 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1564093995298475381639/18446744073709551616", + "floor_float": 84.78970538370697 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "96558969835468295757/4611686018427387904", + "floor_float": 20.937888973715403 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1084514540793772247295/18446744073709551616", + "floor_float": 58.791651061036355 + }, + "r=[75/512,19/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2129855979868079977549/18446744073709551616", + "floor_float": 115.45972402271076 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "300520653074770803975/9223372036854775808", + "floor_float": 32.58251449404291 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "36642964793389574913/4611686018427387904", + "floor_float": 7.945676407060566 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "169880142718529735067/2305843009213693952", + "floor_float": 73.673767919031 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "335596137295376981459/18446744073709551616", + "floor_float": 18.19270305666957 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "235590936051207620817/4611686018427387904", + "floor_float": 51.08564093692257 + }, + "r=[75/512,19/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1850555245912645638269/18446744073709551616", + "floor_float": 100.31880089614687 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "581938455933099136877/9223372036854775808", + "floor_float": 63.093893817552605 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "283952222288940973293/18446744073709551616", + "floor_float": 15.393080814387833 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2632163768073999887935/18446744073709551616", + "floor_float": 142.6898837841731 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "324951429675233331967/9223372036854775808", + "floor_float": 35.23130460061586 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "228112357052918372501/2305843009213693952", + "floor_float": 98.92796523502527 + }, + "r=[75/512,19/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3584802665471291998609/18446744073709551616", + "floor_float": 194.3325418917901 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "792571476732327027931/18446744073709551616", + "floor_float": 42.96538584616167 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "193361365624530802567/18446744073709551616", + "floor_float": 10.482140634244011 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1792251186061837090789/18446744073709551616", + "floor_float": 97.15813147839829 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "221291397371686249677/9223372036854775808", + "floor_float": 23.99246137827353 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "621339285365263423711/9223372036854775808", + "floor_float": 67.36574030436094 + }, + "r=[75/512,19/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1220319814627935451715/9223372036854775808", + "floor_float": 132.30733941467156 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1028041861222867383147/18446744073709551616", + "floor_float": 55.730260967193715 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "250825345923431478863/18446744073709551616", + "floor_float": 13.597269248230628 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2324895568186842810047/18446744073709551616", + "floor_float": 126.03284129150481 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "287045652104100198793/9223372036854775808", + "floor_float": 31.121551961378373 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1611906360543499831865/18446744073709551616", + "floor_float": 87.38161889722326 + }, + "r=[75/512,19/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1583108885419120543513/9223372036854775808", + "floor_float": 171.6410092852516 + }, + "r=[75/512,19/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1312670038637401048539/18446744073709551616", + "floor_float": 71.15998538236506 + }, + "r=[75/512,19/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "320245780512549848411/18446744073709551616", + "floor_float": 17.360558548051127 + }, + "r=[75/512,19/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "371118896116688889107/2305843009213693952", + "floor_float": 160.94716536805453 + }, + "r=[75/512,19/128],b=[7/8,1],k=[3/4,1]": { + "floor": "732972595036787739321/18446744073709551616", + "floor_float": 39.734523995561155 + }, + "r=[75/512,19/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1029168709190294416289/9223372036854775808", + "floor_float": 111.58269503582196 + }, + "r=[75/512,19/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2021815737140696248169/9223372036854775808", + "floor_float": 219.20570145733245 + }, + "r=[77/256,155/512],b=[0,1/8],k=[1,5/4]": { + "floor": "432171903565679639949/18446744073709551616", + "floor_float": 23.42808583665529 + }, + "r=[77/256,155/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "101576559973037346661/18446744073709551616", + "floor_float": 5.506476349818561 + }, + "r=[77/256,155/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "245650536304467132739/4611686018427387904", + "floor_float": 53.26696902670651 + }, + "r=[77/256,155/512],b=[0,1/8],k=[3/4,1]": { + "floor": "29849509540839903455/2305843009213693952", + "floor_float": 12.945161236722166 + }, + "r=[77/256,155/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "680493039523075389919/18446744073709551616", + "floor_float": 36.889601590609125 + }, + "r=[77/256,155/512],b=[0,1/8],k=[7/4,2]": { + "floor": "668688575130065850583/9223372036854775808", + "floor_float": 72.49936058722538 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "762807229875781278589/18446744073709551616", + "floor_float": 41.35186279094858 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "44857444635991669303/4611686018427387904", + "floor_float": 9.726907785298081 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "867921864281088807145/9223372036854775808", + "floor_float": 94.10027708012257 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "210747193686660220845/9223372036854775808", + "floor_float": 22.84925652403004 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "600760949851778608125/9223372036854775808", + "floor_float": 65.13463269737535 + }, + "r=[77/256,155/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2363905535065983460445/18446744073709551616", + "floor_float": 128.1475758334524 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "579221221180583008565/18446744073709551616", + "floor_float": 31.399645317684747 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "136196421658215213681/18446744073709551616", + "floor_float": 7.3832228123294374 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "658791378171113112337/9223372036854775808", + "floor_float": 71.42630434278404 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "320050714445920291239/18446744073709551616", + "floor_float": 17.34998399539023 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "228060308984590995309/4611686018427387904", + "floor_float": 49.45269649176179 + }, + "r=[77/256,155/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "896926294843387463241/9223372036854775808", + "floor_float": 97.24494374285747 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "501408474793142708421/18446744073709551616", + "floor_float": 27.18140788366843 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "117877889615367794187/18446744073709551616", + "floor_float": 6.3901732004494125 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1140281607117530045133/18446744073709551616", + "floor_float": 61.81478978410443 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "277057693880462050443/18446744073709551616", + "floor_float": 15.01932768045104 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "394799166824232346437/9223372036854775808", + "floor_float": 42.80421143662998 + }, + "r=[77/256,155/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1552216789527220094037/18446744073709551616", + "floor_float": 84.14584076869436 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "246979702968614001901/4611686018427387904", + "floor_float": 53.555186103679176 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "116215025914651003705/9223372036854775808", + "floor_float": 12.600058357212381 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "562263646387789719719/4611686018427387904", + "floor_float": 121.9214933846526 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "545866212116541893103/18446744073709551616", + "floor_float": 29.591466653159394 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "389094938624544435243/4611686018427387904", + "floor_float": 84.37151555196901 + }, + "r=[77/256,155/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3063740538677641543161/18446744073709551616", + "floor_float": 166.08570739831043 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "333042692526977635257/9223372036854775808", + "floor_float": 36.108561076817104 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "19581781571714893721/2305843009213693952", + "floor_float": 8.49224404847596 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1515446950738203638099/18446744073709551616", + "floor_float": 82.15254381384467 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "92013829614293913367/4611686018427387904", + "floor_float": 19.9523187933057 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "524545617434553597695/9223372036854775808", + "floor_float": 56.87134979902933 + }, + "r=[77/256,155/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "128971323517634095685/1152921504606846976", + "floor_float": 111.86479131691978 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "434947472716171219517/9223372036854775808", + "floor_float": 47.15709948359525 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "102320393843133155615/9223372036854775808", + "floor_float": 11.09359932942974 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "494991967996594431293/4611686018427387904", + "floor_float": 107.33427341295659 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "120163807441950081745/4611686018427387904", + "floor_float": 26.05637221653842 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1370327485881056647123/18446744073709551616", + "floor_float": 74.28560186044206 + }, + "r=[77/256,155/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2696767889418383495217/18446744073709551616", + "floor_float": 146.192080219828 + }, + "r=[77/256,155/512],b=[7/8,1],k=[1,5/4]": { + "floor": "139703157046077731249/2305843009213693952", + "floor_float": 60.586586548976435 + }, + "r=[77/256,155/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "262964586690158510477/18446744073709551616", + "floor_float": 14.255338808811132 + }, + "r=[77/256,155/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1272445165588788470829/9223372036854775808", + "floor_float": 137.9587812900042 + }, + "r=[77/256,155/512],b=[7/8,1],k=[3/4,1]": { + "floor": "308757531842542234773/9223372036854775808", + "floor_float": 33.47555867949466 + }, + "r=[77/256,155/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "880442858836842332545/9223372036854775808", + "floor_float": 95.45780603002528 + }, + "r=[77/256,155/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3467257382750532110677/18446744073709551616", + "floor_float": 187.96039934722654 + }, + "r=[77/512,39/256],b=[0,1/8],k=[1,5/4]": { + "floor": "518229609882521062157/18446744073709551616", + "floor_float": 28.093283444047238 + }, + "r=[77/512,39/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "63118923556265531159/9223372036854775808", + "floor_float": 6.843367404464957 + }, + "r=[77/512,39/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1172026101792516457811/18446744073709551616", + "floor_float": 63.535662288658166 + }, + "r=[77/512,39/256],b=[0,1/8],k=[3/4,1]": { + "floor": "144631845660766117961/9223372036854775808", + "floor_float": 15.681016127599081 + }, + "r=[77/512,39/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "812647003041481820155/18446744073709551616", + "floor_float": 44.05368230807045 + }, + "r=[77/512,39/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1595903584737916384841/18446744073709551616", + "floor_float": 86.51410668251266 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "56343964407755383427/1152921504606846976", + "floor_float": 48.87059889386746 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "109892611119988262997/9223372036854775808", + "floor_float": 11.914580771639598 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1019537543543177848365/9223372036854775808", + "floor_float": 110.5384819640048 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "251647830119919227651/9223372036854775808", + "floor_float": 27.283712411727958 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1413675229619827898557/18446744073709551616", + "floor_float": 76.63548775713808 + }, + "r=[77/512,39/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1388485883205713104057/9223372036854775808", + "floor_float": 150.53994110370886 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "344667093602419244843/9223372036854775808", + "floor_float": 37.36888116680076 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "83997949548463163671/9223372036854775808", + "floor_float": 9.107075938477156 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1559066575976955433045/18446744073709551616", + "floor_float": 84.51716843618759 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "192408278353797027713/9223372036854775808", + "floor_float": 20.86094733953824 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "270237201272393603259/4611686018427387904", + "floor_float": 58.59835214118633 + }, + "r=[77/512,39/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2123092594914613482885/18446744073709551616", + "floor_float": 115.09308018971555 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "598945384862653057729/18446744073709551616", + "floor_float": 32.46889437341275 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "18242112679541745515/2305843009213693952", + "floor_float": 7.911255279153811 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "21165331155668642799/288230376151711744", + "floor_float": 73.43199366512344 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "334338413323831040981/18446744073709551616", + "floor_float": 18.124521703552706 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "939199984599526104407/18446744073709551616", + "floor_float": 50.91413318505793 + }, + "r=[77/512,39/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1844556382567506460197/18446744073709551616", + "floor_float": 99.99360186258468 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "580089109604896620127/9223372036854775808", + "floor_float": 62.89338728688108 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "141408552263177989989/9223372036854775808", + "floor_float": 15.331545957176758 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1312177210573480217283/9223372036854775808", + "floor_float": 142.26653823897365 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "647676701802109440999/18446744073709551616", + "floor_float": 35.110624358104666 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1819346129888843086299/18446744073709551616", + "floor_float": 98.62695132642892 + }, + "r=[77/512,39/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3574317316303217636547/18446744073709551616", + "floor_float": 193.76412997442532 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "789912642363105128047/18446744073709551616", + "floor_float": 42.82125014619219 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "48138235972789678959/4611686018427387904", + "floor_float": 10.438316004263687 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "893307162023060486121/9223372036854775808", + "floor_float": 96.85255657622626 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "220491280813812690247/9223372036854775808", + "floor_float": 23.905712567244713 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1238677661618868160073/18446744073709551616", + "floor_float": 67.14885058682206 + }, + "r=[77/512,39/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2433060104610460255311/18446744073709551616", + "floor_float": 131.8964525603235 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1024719381047615682321/18446744073709551616", + "floor_float": 55.55014895599132 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "249809202963877205241/18446744073709551616", + "floor_float": 13.542184028015399 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2317869973497051260325/18446744073709551616", + "floor_float": 125.65198304022108 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "572094712072886891749/18446744073709551616", + "floor_float": 31.013316484844655 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1606914604768362094661/18446744073709551616", + "floor_float": 87.11101527442719 + }, + "r=[77/512,39/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3156779368133185221567/18446744073709551616", + "floor_float": 171.12935244937086 + }, + "r=[77/512,39/256],b=[7/8,1],k=[1,5/4]": { + "floor": "654291899729896325385/9223372036854775808", + "floor_float": 70.93846991268214 + }, + "r=[77/512,39/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "318983173814834918057/18446744073709551616", + "floor_float": 17.292112501818263 + }, + "r=[77/512,39/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2960312119130755407401/18446744073709551616", + "floor_float": 160.47884153983662 + }, + "r=[77/512,39/256],b=[7/8,1],k=[3/4,1]": { + "floor": "730502612614910990323/18446744073709551616", + "floor_float": 39.600625980171166 + }, + "r=[77/512,39/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "513048027912575158705/4611686018427387904", + "floor_float": 111.24955729044355 + }, + "r=[77/512,39/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4032036227333152283005/18446744073709551616", + "floor_float": 218.57712186074303 + }, + "r=[79/256,159/512],b=[0,1/8],k=[1,5/4]": { + "floor": "106748663619085145769/4611686018427387904", + "floor_float": 23.147426601147288 + }, + "r=[79/256,159/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "100162191373778132759/18446744073709551616", + "floor_float": 5.429803274417955 + }, + "r=[79/256,159/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "485438853563758909817/9223372036854775808", + "floor_float": 52.63138596427001 + }, + "r=[79/256,159/512],b=[0,1/8],k=[3/4,1]": { + "floor": "58955068627286460021/4611686018427387904", + "floor_float": 12.783842696947197 + }, + "r=[79/256,159/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "672412981616745558031/18446744073709551616", + "floor_float": 36.45158077381655 + }, + "r=[79/256,159/512],b=[0,1/8],k=[7/4,2]": { + "floor": "330306192816075096313/4611686018427387904", + "floor_float": 71.62373836732091 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "754424730264954318203/18446744073709551616", + "floor_float": 40.89744657650271 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "177100465061661221495/18446744073709551616", + "floor_float": 9.600635448402313 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "429256562462724819029/4611686018427387904", + "floor_float": 93.08017951514918 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "208322448422619583561/9223372036854775808", + "floor_float": 22.58636511573036 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "148564497740902371091/2305843009213693952", + "floor_float": 64.42958048196166 + }, + "r=[79/256,159/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "292253976536507771781/2305843009213693952", + "floor_float": 126.74495851136375 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "286302480744549751031/9223372036854775808", + "floor_float": 31.040977161123013 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "134370698457503487903/18446744073709551616", + "floor_float": 7.284250159300995 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "162828575707274458107/2305843009213693952", + "floor_float": 70.61563820981895 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "316233491107391982089/18446744073709551616", + "floor_float": 17.143051903565492 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "901939258872795916953/18446744073709551616", + "floor_float": 48.894225195992554 + }, + "r=[79/256,159/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "886613122141433139113/9223372036854775808", + "floor_float": 96.12678731798977 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "247771923057455348607/9223372036854775808", + "floor_float": 26.863485725980432 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "58134629161972948411/9223372036854775808", + "floor_float": 6.302969123405023 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "70437683031275482321/1152921504606846976", + "floor_float": 61.09495117388338 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "8552526399779553455/576460752303423488", + "floor_float": 14.836268324608994 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "390224006141735660955/9223372036854775808", + "floor_float": 42.30817152148666 + }, + "r=[79/256,159/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1533899418304246681449/18446744073709551616", + "floor_float": 83.15285408498579 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "977506422161852372241/18446744073709551616", + "floor_float": 52.99072932632065 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "229511626070334998389/18446744073709551616", + "floor_float": 12.441850179806897 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2225728537533306429861/18446744073709551616", + "floor_float": 120.65698578782977 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "539821315399631752275/18446744073709551616", + "floor_float": 29.263772145513173 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "770122110198909155379/9223372036854775808", + "floor_float": 83.49680649567783 + }, + "r=[79/256,159/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1515811703957006393565/9223372036854775808", + "floor_float": 164.34463425091405 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "164657233851319817739/4611686018427387904", + "floor_float": 35.70434613141094 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "4830828253340004555/576460752303423488", + "floor_float": 8.38015117948094 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "749334331661935010503/9223372036854775808", + "floor_float": 81.24299103058435 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "181870716292892966305/9223372036854775808", + "floor_float": 19.718462571624936 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1037513870838559392075/18446744073709551616", + "floor_float": 56.24373963735056 + }, + "r=[79/256,159/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "510104012929993400265/4611686018427387904", + "floor_float": 110.61117580245454 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "860533144468848728879/18446744073709551616", + "floor_float": 46.649595236445414 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "202028640298737434857/18446744073709551616", + "floor_float": 10.951994535809183 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1958961910619311456563/18446744073709551616", + "floor_float": 106.1955379654906 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "118807942982863225111/4611686018427387904", + "floor_float": 25.76236597811085 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1355805160398235350287/18446744073709551616", + "floor_float": 73.49834501854123 + }, + "r=[79/256,159/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2667845610971538808065/18446744073709551616", + "floor_float": 144.624200363563 + }, + "r=[79/256,159/512],b=[7/8,1],k=[1,5/4]": { + "floor": "276519720728488466763/4611686018427387904", + "floor_float": 59.960656389782436 + }, + "r=[79/256,159/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "129854381352703348655/9223372036854775808", + "floor_float": 14.078840236936214 + }, + "r=[79/256,159/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1259542343833253346543/9223372036854775808", + "floor_float": 136.55985455214974 + }, + "r=[79/256,159/512],b=[7/8,1],k=[3/4,1]": { + "floor": "610795139626293709677/18446744073709551616", + "floor_float": 33.11127086632073 + }, + "r=[79/256,159/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "108938701281380048565/1152921504606846976", + "floor_float": 94.48926127761732 + }, + "r=[79/256,159/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1715885233599082141285/9223372036854775808", + "floor_float": 186.0366498003922 + }, + "r=[79/512,5/32],b=[0,1/8],k=[1,5/4]": { + "floor": "516357928403558065047/18446744073709551616", + "floor_float": 27.99181938776261 + }, + "r=[79/512,5/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "125674052981457167337/18446744073709551616", + "floor_float": 6.812804063377713 + }, + "r=[79/512,5/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1168028051617179560953/18446744073709551616", + "floor_float": 63.318927554367846 + }, + "r=[79/512,5/32],b=[0,1/8],k=[3/4,1]": { + "floor": "72035749940185232891/4611686018427387904", + "floor_float": 15.620263316354276 + }, + "r=[79/512,5/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "809816690927124749399/18446744073709551616", + "floor_float": 43.90025078091055 + }, + "r=[79/512,5/32],b=[0,1/8],k=[7/4,2]": { + "floor": "397629420708989683773/4611686018427387904", + "floor_float": 86.22213635536785 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "449244703872197190977/9223372036854775808", + "floor_float": 48.70720839158433 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "218869712431460382635/18446744073709551616", + "floor_float": 11.864950885473348 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1016342713425664992347/9223372036854775808", + "floor_float": 110.19209778859184 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "501482495497041896571/18446744073709551616", + "floor_float": 27.18542055406725 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "352285038839415555259/4611686018427387904", + "floor_float": 76.38964088876693 + }, + "r=[79/512,5/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1384190207020595746831/9223372036854775808", + "floor_float": 150.074202958489 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "85867413926841605369/2305843009213693952", + "floor_float": 37.23905469007749 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "167271840594050567829/18446744073709551616", + "floor_float": 9.067824648385931 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1553974139019590194083/18446744073709551616", + "floor_float": 84.24110687556654 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "383382549972030552667/18446744073709551616", + "floor_float": 20.783209678635398 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "269334830638895585319/4611686018427387904", + "floor_float": 58.4026817009412 + }, + "r=[79/512,5/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1058118903665342856587/9223372036854775808", + "floor_float": 114.72148141019449 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "74603081940297381185/2305843009213693952", + "floor_float": 32.35392940551381 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "145296818773400294649/18446744073709551616", + "floor_float": 7.876556328467661 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1350064177068254780001/18446744073709551616", + "floor_float": 73.18712568861282 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "333068527665285641285/18446744073709551616", + "floor_float": 18.05568106406255 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "936000572420197015013/18446744073709551616", + "floor_float": 50.74069270328267 + }, + "r=[79/512,5/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1838472681236243571393/18446744073709551616", + "floor_float": 99.66380375257928 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "578219791765728674969/9223372036854775808", + "floor_float": 62.6907154406519 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "70418072573521985597/4611686018427387904", + "floor_float": 15.26948545329089 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2616447656362144606651/18446744073709551616", + "floor_float": 141.83791166112218 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "645428683214294168321/18446744073709551616", + "floor_float": 34.98875902626981 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "226716167719726258703/2305843009213693952", + "floor_float": 98.32246463172608 + }, + "r=[79/512,5/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1781847552944815485637/9223372036854775808", + "floor_float": 193.18829879407488 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "196805734401479815139/4611686018427387904", + "floor_float": 42.675440959137916 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "23967238409615930557/2305843009213693952", + "floor_float": 10.394132780873447 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1780901947841023836971/18446744073709551616", + "floor_float": 96.54288804164523 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "109841536177713457823/4611686018427387904", + "floor_float": 23.818086430604414 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1234626513041193089199/18446744073709551616", + "floor_float": 66.92923738237323 + }, + "r=[79/512,5/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2425373609983614171435/18446744073709551616", + "floor_float": 131.47976685166225 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1021358503498199932835/18446744073709551616", + "floor_float": 55.367955418964605 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "248784191814394540591/18446744073709551616", + "floor_float": 13.48661806226085 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2310751699849178857957/18446744073709551616", + "floor_float": 125.2661006525526 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "570072842822047786491/18446744073709551616", + "floor_float": 30.903710733132584 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1601860697179855720591/18446744073709551616", + "floor_float": 86.83704239507722 + }, + "r=[79/512,5/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1573605008019553575411/9223372036854775808", + "floor_float": 170.61059683288696 + }, + "r=[79/512,5/32],b=[7/8,1],k=[1,5/4]": { + "floor": "1304451210678896296999/18446744073709551616", + "floor_float": 70.7144418259703 + }, + "r=[79/512,5/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "317709397819495207581/18446744073709551616", + "floor_float": 17.223060966747905 + }, + "r=[79/512,5/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2951560518186851270169/18446744073709551616", + "floor_float": 160.00441630203127 + }, + "r=[79/512,5/32],b=[7/8,1],k=[3/4,1]": { + "floor": "728007225744057811015/18446744073709551616", + "floor_float": 39.46535078684263 + }, + "r=[79/512,5/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2045971279156690330773/18446744073709551616", + "floor_float": 110.9123252852315 + }, + "r=[79/512,5/32],b=[7/8,1],k=[7/4,2]": { + "floor": "4020282988829398991507/18446744073709551616", + "floor_float": 217.93997752476756 + }, + "r=[81/256,163/512],b=[0,1/8],k=[1,5/4]": { + "floor": "210881512841091876307/9223372036854775808", + "floor_float": 22.86381943593416 + }, + "r=[81/256,163/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "98738081157079755981/18446744073709551616", + "floor_float": 5.352602104877796 + }, + "r=[81/256,163/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "959023494882868632737/18446744073709551616", + "floor_float": 51.98876783083236 + }, + "r=[81/256,163/512],b=[0,1/8],k=[3/4,1]": { + "floor": "232817216172340869759/18446744073709551616", + "floor_float": 12.621046578303964 + }, + "r=[81/256,163/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "83030872853681462979/2305843009213693952", + "floor_float": 36.00890109253165 + }, + "r=[81/256,163/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1304868689510369297991/18446744073709551616", + "floor_float": 70.73707339877278 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "745954736041529447169/18446744073709551616", + "floor_float": 40.43828726960386 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "174754327653246543021/18446744073709551616", + "floor_float": 9.473451084644678 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "424487541792317040765/4611686018427387904", + "floor_float": 92.0460630008523 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "411751308911104815465/18446744073709551616", + "floor_float": 22.321083182258494 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1175355894625836350331/18446744073709551616", + "floor_float": 63.71617071984877 + }, + "r=[81/256,163/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2311743145360433928147/18446744073709551616", + "floor_float": 125.31984702141278 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "282951391646335345983/9223372036854775808", + "floor_float": 30.67765135307536 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "16566576185619413699/2305843009213693952", + "floor_float": 7.184607156438076 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1287442538786484383469/18446744073709551616", + "floor_float": 69.79239987512798 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "312374815074769659311/18446744073709551616", + "floor_float": 16.933872656691147 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "13929325263511156167/288230376151711744", + "floor_float": 48.32705507825926 + }, + "r=[81/256,163/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1752268420215728341811/18446744073709551616", + "floor_float": 94.99066139878177 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "489607161008073479565/18446744073709551616", + "floor_float": 26.54165738147067 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "114648283879798593091/18446744073709551616", + "floor_float": 6.215095922710623 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1113544799874126403901/18446744073709551616", + "floor_float": 60.36538455917321 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "270268205365863284183/18446744073709551616", + "floor_float": 14.651268770571372 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "771176007664751409325/18446744073709551616", + "floor_float": 41.80553514394107 + }, + "r=[81/256,163/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "378832425624423971287/4611686018427387904", + "floor_float": 82.14618777399075 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "966958299901717777929/18446744073709551616", + "floor_float": 52.41891447281662 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "226568789481868674299/18446744073709551616", + "floor_float": 12.282318688682647 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "137628025308258441537/1152921504606846976", + "floor_float": 119.37328322728303 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "533708637400483531601/18446744073709551616", + "floor_float": 28.93240320719413 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "761938836904287619825/9223372036854775808", + "floor_float": 82.60957422727071 + }, + "r=[81/256,163/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "187437880324532972849/1152921504606846976", + "floor_float": 162.5764456431493 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "162771220838296193085/4611686018427387904", + "floor_float": 35.29538225019971 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "38126652595962332101/4611686018427387904", + "floor_float": 8.267399914828491 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1481620393915284031015/18446744073709551616", + "floor_float": 80.31880249408898 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "44923760228550700691/2305843009213693952", + "floor_float": 19.482575374405027 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "32055504776302034475/576460752303423488", + "floor_float": 55.60743666973781 + }, + "r=[81/256,163/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1008447640009949155417/9223372036854775808", + "floor_float": 109.33611221366668 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "851058293406147179461/18446744073709551616", + "floor_float": 46.13596253113753 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "199395441365340211477/18446744073709551616", + "floor_float": 10.809248535600394 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "484418316487244394493/4611686018427387904", + "floor_float": 105.0414782254482 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "469750672350499117731/18446744073709551616", + "floor_float": 25.465234974446876 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "335273013312719319885/4611686018427387904", + "floor_float": 72.70074588188234 + }, + "r=[81/256,163/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2638517193086212691167/18446744073709551616", + "floor_float": 143.03430364422135 + }, + "r=[81/256,163/512],b=[7/8,1],k=[1,5/4]": { + "floor": "547190314733039807775/9223372036854775808", + "floor_float": 59.326492799658865 + }, + "r=[81/256,163/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "256428421311891987731/18446744073709551616", + "floor_float": 13.901012573669076 + }, + "r=[81/256,163/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1246433260480424089411/9223372036854775808", + "floor_float": 135.13856488710664 + }, + "r=[81/256,163/512],b=[7/8,1],k=[3/4,1]": { + "floor": "151001139539393535007/4611686018427387904", + "floor_float": 32.74315270727946 + }, + "r=[81/256,163/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1724888212928385633385/18446744073709551616", + "floor_float": 93.50637738757975 + }, + "r=[81/256,163/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1697830886001009247291/9223372036854775808", + "floor_float": 184.0791935115283 + }, + "r=[81/512,41/256],b=[0,1/8],k=[1,5/4]": { + "floor": "514465756963086630735/18446744073709551616", + "floor_float": 27.8892445684389 + }, + "r=[81/512,41/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "125105406870583641377/18446744073709551616", + "floor_float": 6.781977695938487 + }, + "r=[81/512,41/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1163981129342796529979/18446744073709551616", + "floor_float": 63.09954345827955 + }, + "r=[81/512,41/256],b=[0,1/8],k=[3/4,1]": { + "floor": "287011120099167577581/18446744073709551616", + "floor_float": 15.558903996950775 + }, + "r=[81/512,41/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "100869165803986211837/2305843009213693952", + "floor_float": 43.74502748059296 + }, + "r=[81/512,41/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1585061184439869188557/18446744073709551616", + "floor_float": 85.92633898460765 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "895444107762334157243/18446744073709551616", + "floor_float": 48.54212234876334 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "108973294058958079449/9223372036854775808", + "floor_float": 11.814908216162406 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2026216465396899162395/18446744073709551616", + "floor_float": 109.8414146854609 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "499651889421039896233/18446744073709551616", + "floor_float": 27.086183199838924 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1404553651524682948513/18446744073709551616", + "floor_float": 76.14100601777547 + }, + "r=[81/512,41/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1379836898484982257117/9223372036854775808", + "floor_float": 149.60221630130783 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "21391179434902967077/576460752303423488", + "floor_float": 37.107781144558466 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "166541888120598622251/18446744073709551616", + "floor_float": 9.028253845509543 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1548818177510588384365/18446744073709551616", + "floor_float": 83.96160164210097 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "95482922925779881797/4611686018427387904", + "floor_float": 20.704558494279304 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1073686136643817906945/18446744073709551616", + "floor_float": 58.20464209583978 + }, + "r=[81/512,41/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1054647811651836230117/9223372036854775808", + "floor_float": 114.34514486000039 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "594679386043479741159/18446744073709551616", + "floor_float": 32.237634114034336 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "72325823179635649385/9223372036854775808", + "floor_float": 7.841581461816342 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "84092925821381111389/1152921504606846976", + "floor_float": 72.93898629296302 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "331786664347382608963/18446744073709551616", + "floor_float": 17.986191114357553 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "466380462989081884701/9223372036854775808", + "floor_float": 50.5650711177558 + }, + "r=[81/512,41/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1832303876200482550179/18446744073709551616", + "floor_float": 99.3293921615087 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1152658992302974090243/18446744073709551616", + "floor_float": 62.48576917949184 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "140258957864995612735/9223372036854775808", + "floor_float": 15.206906682778108 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1304222004189692248075/9223372036854775808", + "floor_float": 141.4040330345863 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "160789595600018794277/4611686018427387904", + "floor_float": 34.86568577252122 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1808045768371265988647/18446744073709551616", + "floor_float": 98.01435750106748 + }, + "r=[81/512,41/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "888233692383357846189/4611686018427387904", + "floor_float": 192.60497979137156 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "784502478244410782313/18446744073709551616", + "floor_float": 42.52796456164262 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "47728927511473993785/4611686018427387904", + "floor_float": 10.349561379668653 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1775114987698134537873/18446744073709551616", + "floor_float": 96.22917630369484 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "218866473696552761325/9223372036854775808", + "floor_float": 23.7295506266044 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "615262840568921792895/9223372036854775808", + "floor_float": 66.70693083944276 + }, + "r=[81/512,41/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2417581669098657004809/18446744073709551616", + "floor_float": 131.05736488989479 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "508979783088709243289/9223372036854775808", + "floor_float": 55.18369865759794 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "123875144748725602043/9223372036854775808", + "floor_float": 13.430570105352462 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2303542012240776695567/18446744073709551616", + "floor_float": 124.87526270415403 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "284013840331100665895/9223372036854775808", + "floor_float": 30.79284227029305 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "798372533854972945389/9223372036854775808", + "floor_float": 86.55972356583186 + }, + "r=[81/512,41/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3137512586002551674007/18446744073709551616", + "floor_float": 170.08489809722897 + }, + "r=[81/512,41/256],b=[7/8,1],k=[1,5/4]": { + "floor": "650136647675137584217/9223372036854775808", + "floor_float": 70.48795658218272 + }, + "r=[81/512,41/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "79106161260092027125/4611686018427387904", + "floor_float": 17.153414379036086 + }, + "r=[81/512,41/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2942699548830951804499/18446744073709551616", + "floor_float": 159.5240621907316 + }, + "r=[81/512,41/256],b=[7/8,1],k=[3/4,1]": { + "floor": "725486940383883745219/18446744073709551616", + "floor_float": 39.32872584370342 + }, + "r=[81/512,41/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "254959603777392543757/2305843009213693952", + "floor_float": 110.57110252459697 + }, + "r=[81/512,41/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2004187140917847092261/9223372036854775808", + "floor_float": 217.29440522506417 + }, + "r=[83/256,167/512],b=[0,1/8],k=[1,5/4]": { + "floor": "416481382748346508603/18446744073709551616", + "floor_float": 22.57750099877621 + }, + "r=[83/256,167/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "48653298591138266711/9223372036854775808", + "floor_float": 5.275001203109804 + }, + "r=[83/256,167/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "473507667697656206357/9223372036854775808", + "floor_float": 51.33780420063432 + }, + "r=[83/256,167/512],b=[0,1/8],k=[3/4,1]": { + "floor": "229790896352476779511/18446744073709551616", + "floor_float": 12.456989452137336 + }, + "r=[83/256,167/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "327993327455196441773/9223372036854775808", + "floor_float": 35.56110781876734 + }, + "r=[83/256,167/512],b=[0,1/8],k=[7/4,2]": { + "floor": "161033225995124452729/2305843009213693952", + "floor_float": 69.83702938650525 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "737389715273223876389/18446744073709551616", + "floor_float": 39.973976563384845 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "21549193949004044335/2305843009213693952", + "floor_float": 9.34547315792867 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1678590857340993204801/18446744073709551616", + "floor_float": 90.99659271217051 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "3178232599399942315/144115188075855872", + "floor_float": 22.053418809175483 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "72626585910921353389/1152921504606846976", + "floor_float": 62.99352177986085 + }, + "r=[83/256,167/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2285034471287378587773/18446744073709551616", + "floor_float": 123.8719668987021 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "559120543183479359839/18446744073709551616", + "floor_float": 30.30998538004018 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "16335129884963668873/2305843009213693952", + "floor_float": 7.084233323644199 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1272049786643048349421/18446744073709551616", + "floor_float": 68.95795710940577 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "308477701928281393973/18446744073709551616", + "floor_float": 16.722609729698927 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "880881470033323777737/18446744073709551616", + "floor_float": 47.75268017561772 + }, + "r=[83/256,167/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1731019497557737362141/18446744073709551616", + "floor_float": 93.83875499334326 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "483609018437128112547/18446744073709551616", + "floor_float": 26.216497421155832 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "28254222783291618989/4611686018427387904", + "floor_float": 6.126657944706841 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1099919873374612244331/18446744073709551616", + "floor_float": 59.626775813636776 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "66706099987337474077/4611686018427387904", + "floor_float": 14.464579704861315 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "11903090467633236127/288230376151711744", + "floor_float": 41.29714094175825 + }, + "r=[83/256,167/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "187064739965896717693/2305843009213693952", + "floor_float": 81.12639898658448 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "478142335510530674613/9223372036854775808", + "floor_float": 51.84029589178103 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "111801657850543255257/9223372036854775808", + "floor_float": 12.121560032904005 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "68063730686133319975/576460752303423488", + "floor_float": 118.07175148379847 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "131883439693676208143/4611686018427387904", + "floor_float": 28.597662366148953 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "753649981956787831409/9223372036854775808", + "floor_float": 81.71089477312105 + }, + "r=[83/256,167/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2965906810514129928013/18446744073709551616", + "floor_float": 160.78213036744864 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "643452014743632774841/18446744073709551616", + "floor_float": 34.88160361376107 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "150413689728934876095/18446744073709551616", + "floor_float": 8.15394245878359 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1464320787476511367529/18446744073709551616", + "floor_float": 79.38098894988592 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "354995990183099406595/18446744073709551616", + "floor_float": 19.24437118900796 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "126734388237268009491/2305843009213693952", + "floor_float": 54.962279622186934 + }, + "r=[83/256,167/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "996504733381574421447/9223372036854775808", + "floor_float": 108.04125968243913 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "420739511619715038387/9223372036854775808", + "floor_float": 45.616669254858515 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "196744051071321433811/18446744073709551616", + "floor_float": 10.665516379756287 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "479017730422254553295/4611686018427387904", + "floor_float": 103.87041279657682 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "464216045706613622221/18446744073709551616", + "floor_float": 25.165202262887036 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1326199736844119996331/18446744073709551616", + "floor_float": 71.89343179180496 + }, + "r=[83/256,167/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2608738841494417932169/18446744073709551616", + "floor_float": 141.4200159697783 + }, + "r=[83/256,167/512],b=[7/8,1],k=[1,5/4]": { + "floor": "135317118091034111591/2305843009213693952", + "floor_float": 58.6844453635107 + }, + "r=[83/256,167/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "126561606129651745457/9223372036854775808", + "floor_float": 13.721836831902316 + }, + "r=[83/256,167/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1233132269360418921215/9223372036854775808", + "floor_float": 133.69646854025464 + }, + "r=[83/256,167/512],b=[7/8,1],k=[3/4,1]": { + "floor": "597140616982715534781/18446744073709551616", + "floor_float": 32.371057710599736 + }, + "r=[83/256,167/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1706505514244716533153/18446744073709551616", + "floor_float": 92.50984929513073 + }, + "r=[83/256,167/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3358992525266849208929/18446744073709551616", + "floor_float": 182.09134966284444 + }, + "r=[83/512,21/128],b=[0,1/8],k=[1,5/4]": { + "floor": "256276396621829654227/9223372036854775808", + "floor_float": 27.78554259741445 + }, + "r=[83/512,21/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "62266139992254913225/9223372036854775808", + "floor_float": 6.750908425188933 + }, + "r=[83/512,21/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "579940247122372204601/9223372036854775808", + "floor_float": 62.877247584185625 + }, + "r=[83/512,21/128],b=[0,1/8],k=[3/4,1]": { + "floor": "285868551646874692117/18446744073709551616", + "floor_float": 15.496965237041309 + }, + "r=[83/512,21/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "804054997435670368781/18446744073709551616", + "floor_float": 43.58790875087902 + }, + "r=[83/512,21/128],b=[0,1/8],k=[7/4,2]": { + "floor": "197441356597197919375/2305843009213693952", + "floor_float": 85.62653910446687 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "892364744933656041035/18446744073709551616", + "floor_float": 48.37518975532715 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "108507970103412379245/9223372036854775808", + "floor_float": 11.764457691811186 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2019663876224221441383/18446744073709551616", + "floor_float": 109.48619811463979 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "497803269246326343217/18446744073709551616", + "floor_float": 26.985969299362676 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "349977838936958967875/4611686018427387904", + "floor_float": 75.88934665944657 + }, + "r=[83/512,21/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2750850111463303748041/18446744073709551616", + "floor_float": 149.1238833515253 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "682071340610532718113/18446744073709551616", + "floor_float": 36.975161464002 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "82902918957458987783/9223372036854775808", + "floor_float": 8.988352483906674 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "771800354201952138167/9223372036854775808", + "floor_float": 83.67876207508384 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "380465800604207698991/18446744073709551616", + "floor_float": 20.625092378575935 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1069993956373780156869/18446744073709551616", + "floor_float": 58.00448860234062 + }, + "r=[83/512,21/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1051131120824605648643/9223372036854775808", + "floor_float": 113.96386447651606 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "296255085392932539545/9223372036854775808", + "floor_float": 32.12004071928961 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "144001182936594855493/18446744073709551616", + "floor_float": 7.806319769016935 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "83803200709853609461/1152921504606846976", + "floor_float": 72.68768981668964 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "82622987130698528489/4611686018427387904", + "floor_float": 17.916004428869044 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "464741211214549948471/9223372036854775808", + "floor_float": 50.38734308423597 + }, + "r=[83/512,21/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "913025831808765796589/9223372036854775808", + "floor_float": 98.99045903824486 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1148838823164789055715/18446744073709551616", + "floor_float": 62.278677395547724 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "279353706764411356213/18446744073709551616", + "floor_float": 15.143794788292668 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1300169871233051136803/9223372036854775808", + "floor_float": 140.96469989910727 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "640866057627357019423/18446744073709551616", + "floor_float": 34.74141859759005 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1802296709917957459121/18446744073709551616", + "floor_float": 97.70270041782632 + }, + "r=[83/512,21/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3542030993252844833603/18446744073709551616", + "floor_float": 192.01388489478617 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "390875830028969806931/9223372036854775808", + "floor_float": 42.37884240894839 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "95042578005194796559/9223372036854775808", + "floor_float": 10.304536955185522 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "110578399946593940261/1152921504606846976", + "floor_float": 95.91147316165451 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "436083224531990415235/18446744073709551616", + "floor_float": 23.6401189711034 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1226374908174106516747/18446744073709551616", + "floor_float": 66.48191698620387 + }, + "r=[83/512,21/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1204843631315741399827/9223372036854775808", + "floor_float": 130.6294082577851 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "253631033580767288897/4611686018427387904", + "floor_float": 54.99746352360236 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "246707704655852541173/18446744073709551616", + "floor_float": 13.374051467839376 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "287030450143083560291/2305843009213693952", + "floor_float": 124.47961504584939 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "70745298749707224765/2305843009213693952", + "floor_float": 30.680882639027445 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1591570963023523075705/18446744073709551616", + "floor_float": 86.2792347887475 + }, + "r=[83/512,21/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1563843878004394661555/9223372036854775808", + "floor_float": 169.55229299605207 + }, + "r=[83/512,21/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1296049713376947505137/18446744073709551616", + "floor_float": 70.2589957446251 + }, + "r=[83/512,21/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "157564582910635466795/9223372036854775808", + "floor_float": 17.083186309848337 + }, + "r=[83/512,21/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1466863742331054510467/9223372036854775808", + "floor_float": 159.03768561755464 + }, + "r=[83/512,21/128],b=[7/8,1],k=[3/4,1]": { + "floor": "722941999867972582327/18446744073709551616", + "floor_float": 39.190764341893555 + }, + "r=[83/512,21/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2033307243172832299099/18446744073709551616", + "floor_float": 110.22580651892483 + }, + "r=[83/512,21/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3996311968241543920505/18446744073709551616", + "floor_float": 216.6405058948652 + }, + "r=[85/256,171/512],b=[0,1/8],k=[1,5/4]": { + "floor": "411142729206920678953/18446744073709551616", + "floor_float": 22.288092010388144 + }, + "r=[85/256,171/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "95868534789137452667/18446744073709551616", + "floor_float": 5.197043684569249 + }, + "r=[85/256,171/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "934842358869185960565/18446744073709551616", + "floor_float": 50.67790582087225 + }, + "r=[85/256,171/512],b=[0,1/8],k=[3/4,1]": { + "floor": "226739489053074418927/18446744073709551616", + "floor_float": 12.291572330979827 + }, + "r=[85/256,171/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "647628975365749744723/18446744073709551616", + "floor_float": 35.108037102805355 + }, + "r=[85/256,171/512],b=[0,1/8],k=[7/4,2]": { + "floor": "317856693826151745695/4611686018427387904", + "floor_float": 68.92418359707472 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "728729752793852522489/18446744073709551616", + "floor_float": 39.504519056695976 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "42504610527855291567/4611686018427387904", + "floor_float": 9.21671821499019 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1658955676079250779191/18446744073709551616", + "floor_float": 89.93216740311412 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "401829480433105377011/18446744073709551616", + "floor_float": 21.783219782714717 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1148522979315275665155/18446744073709551616", + "floor_float": 62.2615554661573 + }, + "r=[85/256,171/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2257925339254487292271/18446744073709551616", + "floor_float": 122.40237790648924 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "276133064297581975525/9223372036854775808", + "floor_float": 29.938406820651785 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "128817795107760121271/18446744073709551616", + "floor_float": 6.983226665531306 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1256465051607004999243/18446744073709551616", + "floor_float": 68.1131069302213 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "304545803098673810823/18446744073709551616", + "floor_float": 16.509461067046242 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "54384950350957868925/1152921504606846976", + "floor_float": 47.17142505681986 + }, + "r=[85/256,171/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1709466387826761556931/18446744073709551616", + "floor_float": 92.67035857363614 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "59693570694655052139/2305843009213693952", + "floor_float": 25.88795961222482 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "111376332248539841643/18446744073709551616", + "floor_float": 6.037723069366712 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1086117371710180949491/18446744073709551616", + "floor_float": 58.87854069912122 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "263353465519574965967/18446744073709551616", + "floor_float": 14.276419972395479 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "94039443061902447579/2305843009213693952", + "floor_float": 40.78310738681661 + }, + "r=[85/256,171/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1477437143171093202681/18446744073709551616", + "floor_float": 80.09202801684383 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "945494514314204806961/18446744073709551616", + "floor_float": 51.255360324629386 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "220617481895477941679/18446744073709551616", + "floor_float": 11.959697657967931 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1076853518835439549251/9223372036854775808", + "floor_float": 116.75269245700436 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "260650243297992724343/9223372036854775808", + "floor_float": 28.2597560042559 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "5822309253638009851/72057594037927936", + "floor_float": 80.80077237346286 + }, + "r=[85/256,171/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "733076053657057390855/4611686018427387904", + "floor_float": 158.96052999441636 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "317866324697422414369/9223372036854775808", + "floor_float": 34.463135979692815 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "74153540397890365559/9223372036854775808", + "floor_float": 8.039742959688436 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1446789224041052670947/18446744073709551616", + "floor_float": 78.43060099169632 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "350561012183090213865/18446744073709551616", + "floor_float": 19.00395054988119 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1001818530930807268513/18446744073709551616", + "floor_float": 54.30869138357089 + }, + "r=[85/256,171/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1968788478008349033643/18446744073709551616", + "floor_float": 106.7282372510541 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "415895274216059211399/9223372036854775808", + "floor_float": 45.0914559831506 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "48518849817976392583/4611686018427387904", + "floor_float": 10.520848475829585 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "947081869791312923923/9223372036854775808", + "floor_float": 102.6828220749375 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "458632957901788076447/18446744073709551616", + "floor_float": 24.862542466528577 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1311122032817318596053/18446744073709551616", + "floor_float": 71.07606781870739 + }, + "r=[85/256,171/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2578507125186461501835/18446744073709551616", + "floor_float": 139.7811513448257 + }, + "r=[85/256,171/512],b=[7/8,1],k=[1,5/4]": { + "floor": "267639022843268236027/4611686018427387904", + "floor_float": 58.034962001713794 + }, + "r=[85/256,171/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "124895701264312755627/9223372036854775808", + "floor_float": 13.541219064486846 + }, + "r=[85/256,171/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "609822432765384072297/4611686018427387904", + "floor_float": 132.23416128692497 + }, + "r=[85/256,171/512],b=[7/8,1],k=[3/4,1]": { + "floor": "73776080875952378561/2305843009213693952", + "floor_float": 31.99527486526954 + }, + "r=[85/256,171/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1687887079089724769583/18446744073709551616", + "floor_float": 91.5005419029646 + }, + "r=[85/256,171/512],b=[7/8,1],k=[7/4,2]": { + "floor": "830446477978076508923/4611686018427387904", + "floor_float": 180.07437511135322 + }, + "r=[85/512,43/256],b=[0,1/8],k=[1,5/4]": { + "floor": "127654500626517484203/4611686018427387904", + "floor_float": 27.68065738136449 + }, + "r=[85/512,43/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "61977135638092938067/9223372036854775808", + "floor_float": 6.7195745103249145 + }, + "r=[85/512,43/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1155734451845886638049/18446744073709551616", + "floor_float": 62.652490175382695 + }, + "r=[85/512,43/256],b=[0,1/8],k=[3/4,1]": { + "floor": "284714530645667174287/18446744073709551616", + "floor_float": 15.434405633211155 + }, + "r=[85/512,43/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "801124326917337953275/18446744073709551616", + "floor_float": 43.42903678373826 + }, + "r=[85/512,43/256],b=[0,1/8],k=[7/4,2]": { + "floor": "786967450858516119587/9223372036854775808", + "floor_float": 85.32318198961826 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "444625630865353383083/9223372036854775808", + "floor_float": 48.20640749269541 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "108036601102819204507/9223372036854775808", + "floor_float": 11.713351762362642 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1006516341819211859399/9223372036854775808", + "floor_float": 109.12672044425521 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "495936039736930082381/18446744073709551616", + "floor_float": 26.884746584831852 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1395214160692062326629/18446744073709551616", + "floor_float": 75.63471120524369 + }, + "r=[85/512,43/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "685479194101470766135/4611686018427387904", + "floor_float": 148.63960628768547 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "339799350889019721715/9223372036854775808", + "floor_float": 36.84111944430394 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "165064433038135424087/18446744073709551616", + "floor_float": 8.948160845001725 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "769157937338884486055/9223372036854775808", + "floor_float": 83.3922706647288 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "378986435618694303993/18446744073709551616", + "floor_float": 20.544895842016306 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "533128549795736870927/9223372036854775808", + "floor_float": 57.80191319025843 + }, + "r=[85/512,43/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2095132928735820445175/18446744073709551616", + "floor_float": 113.5773836490647 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "295158344765388986275/9223372036854775808", + "floor_float": 32.00113186218603 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "71672678461637344899/9223372036854775808", + "floor_float": 7.770767369596223 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1336155103965394245581/18446744073709551616", + "floor_float": 72.43311332484377 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "329184444440714812707/18446744073709551616", + "floor_float": 17.84512449055284 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "926164072052203986687/18446744073709551616", + "floor_float": 50.20745494985104 + }, + "r=[85/512,43/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "454929177360493127041/4611686018427387904", + "floor_float": 98.647040484258 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "572488750195028903721/9223372036854775808", + "floor_float": 62.06935466849616 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "278180513070562833351/18446744073709551616", + "floor_float": 15.080195830711824 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2592134158805366383949/18446744073709551616", + "floor_float": 140.51987431753318 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "638552292491666015283/18446744073709551616", + "floor_float": 34.61598913825318 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1796480359440330689547/18446744073709551616", + "floor_float": 97.38739542663733 + }, + "r=[85/512,43/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1765491487931194591109/9223372036854775808", + "floor_float": 191.4149706719667 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "194743082480840085381/4611686018427387904", + "floor_float": 42.22817462045012 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "189245780900060290005/18446744073709551616", + "floor_float": 10.259034339278058 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "881662001095604426021/9223372036854775808", + "floor_float": 95.58998569857715 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "217208869087279043775/9223372036854775808", + "floor_float": 23.549832774754748 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "611089558550844927239/9223372036854775808", + "floor_float": 66.2544626964034 + }, + "r=[85/512,43/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2401691087817762498797/18446744073709551616", + "floor_float": 130.19593475255462 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1011051017885469819829/18446744073709551616", + "floor_float": 54.809185504255346 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "61414163864506245405/4611686018427387904", + "floor_float": 13.317073976655687 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1144426074590977945279/9223372036854775808", + "floor_float": 124.07892363205963 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "563876889038028325983/18446744073709551616", + "floor_float": 30.567827405469902 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "49572963164246542067/576460752303423488", + "floor_float": 85.99538297475198 + }, + "r=[85/512,43/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1558865652124288367955/9223372036854775808", + "floor_float": 169.0125526646186 + }, + "r=[85/512,43/256],b=[7/8,1],k=[1,5/4]": { + "floor": "645891152516708541503/9223372036854775808", + "floor_float": 70.02765907477817 + }, + "r=[85/512,43/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "313822822613474090697/18446744073709551616", + "floor_float": 17.012369302653084 + }, + "r=[85/512,43/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2924649727417252420569/18446744073709551616", + "floor_float": 158.54557941124617 + }, + "r=[85/512,43/256],b=[7/8,1],k=[3/4,1]": { + "floor": "720372603510415885183/18446744073709551616", + "floor_float": 39.051477086251595 + }, + "r=[85/512,43/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1013433893279268207089/9223372036854775808", + "floor_float": 109.87672287638254 + }, + "r=[85/512,43/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1992048089334902438469/9223372036854775808", + "floor_float": 215.97828661524994 + }, + "r=[87/256,175/512],b=[0,1/8],k=[1,5/4]": { + "floor": "405750194153462625817/18446744073709551616", + "floor_float": 21.99576209937997 + }, + "r=[87/256,175/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "94422755940131985425/18446744073709551616", + "floor_float": 5.118667856117983 + }, + "r=[87/256,175/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "461260771169924003955/9223372036854775808", + "floor_float": 50.009993018477076 + }, + "r=[87/256,175/512],b=[0,1/8],k=[3/4,1]": { + "floor": "111833260123361534317/9223372036854775808", + "floor_float": 12.124986358188512 + }, + "r=[87/256,175/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "639173930384825062601/18446744073709551616", + "floor_float": 34.6496881959663 + }, + "r=[87/256,175/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1254356928216234721975/18446744073709551616", + "floor_float": 67.99882533221428 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "359987535713242585601/9223372036854775808", + "floor_float": 39.02992682880007 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "41907050958226924157/4611686018427387904", + "floor_float": 9.087143138274074 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "409766797672571386213/4611686018427387904", + "floor_float": 88.85401044980601 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "49600057463323253215/2305843009213693952", + "floor_float": 21.510596022856372 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1134853980380238985851/18446744073709551616", + "floor_float": 61.520557549103856 + }, + "r=[87/256,175/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "69700810652559900117/576460752303423488", + "floor_float": 120.91163253360997 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "545343903126141441649/18446744073709551616", + "floor_float": 29.563152226054353 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "126944826524114548735/18446744073709551616", + "floor_float": 6.881692835162024 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "310168742156905217471/4611686018427387904", + "floor_float": 67.25712481672258 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "300579750026136785707/18446744073709551616", + "floor_float": 16.294460899174368 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "429658394427967343965/9223372036854775808", + "floor_float": 46.583656466543594 + }, + "r=[87/256,175/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "843820228811168001015/9223372036854775808", + "floor_float": 91.48717252642838 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "235716396367079339463/9223372036854775808", + "floor_float": 25.55642290316417 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "27431860170382564595/4611686018427387904", + "floor_float": 5.948336478409471 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "536073236572390495981/9223372036854775808", + "floor_float": 58.121176770312154 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "259854063031674530449/18446744073709551616", + "floor_float": 14.086716983406337 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "371359528957551430825/9223372036854775808", + "floor_float": 40.26288080689709 + }, + "r=[87/256,175/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1458093913890272782909/18446744073709551616", + "floor_float": 79.04342945638629 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "233646565247471075313/4611686018427387904", + "floor_float": 50.66402272701686 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "54403246028294937191/4611686018427387904", + "floor_float": 11.796823506828153 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1064506256578848078857/9223372036854775808", + "floor_float": 115.41399960071989 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "515009915033675557781/18446744073709551616", + "floor_float": 27.918743436554305 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1473521288177548637929/18446744073709551616", + "floor_float": 79.87974909228686 + }, + "r=[87/256,175/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1449113487968389780511/9223372036854775808", + "floor_float": 157.1131991833375 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "39245703502706308565/1152921504606846976", + "floor_float": 34.04022159868492 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "146188028584716568137/18446744073709551616", + "floor_float": 7.924868909146136 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1429026865277958974041/18446744073709551616", + "floor_float": 77.46770159372566 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "346088373063963270581/18446744073709551616", + "floor_float": 18.761488297396134 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "989616732264946777105/18446744073709551616", + "floor_float": 53.64723055248305 + }, + "r=[87/256,175/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1944233137756299732871/18446744073709551616", + "floor_float": 105.39708958868447 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "822004060534748076505/18446744073709551616", + "floor_float": 44.560929411184 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "191391105491452082267/18446744073709551616", + "floor_float": 10.375332618411734 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1871963040084907975169/18446744073709551616", + "floor_float": 101.47931974363134 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "14156178643656284391/576460752303423488", + "floor_float": 24.55705542327207 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1295853852635984322045/18446744073709551616", + "floor_float": 70.24837811258224 + }, + "r=[87/256,175/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1273917048440738623345/9223372036854775808", + "floor_float": 138.11836314857703 + }, + "r=[87/256,175/512],b=[7/8,1],k=[1,5/4]": { + "floor": "529220333977330979623/9223372036854775808", + "floor_float": 57.378183582172646 + }, + "r=[87/256,175/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "246436771702483722437/18446744073709551616", + "floor_float": 13.359364163007356 + }, + "r=[87/256,175/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "301493379837447640085/2305843009213693952", + "floor_float": 130.75191096390324 + }, + "r=[87/256,175/512],b=[7/8,1],k=[3/4,1]": { + "floor": "583213423774217879347/18446744073709551616", + "floor_float": 31.616063053935807 + }, + "r=[87/256,175/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "417259936198868580243/4611686018427387904", + "floor_float": 90.47882586359526 + }, + "r=[87/256,175/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3284026842232699366027/18446744073709551616", + "floor_float": 178.02745184247019 + }, + "r=[87/512,11/64],b=[0,1/8],k=[1,5/4]": { + "floor": "508662460214568202993/18446744073709551616", + "floor_float": 27.574647221322817 + }, + "r=[87/512,11/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "123371811183671744089/18446744073709551616", + "floor_float": 6.6879992854404176 + }, + "r=[87/512,11/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1151536301952408977401/18446744073709551616", + "floor_float": 62.42490801363628 + }, + "r=[87/512,11/64],b=[0,1/8],k=[3/4,1]": { + "floor": "283550676547005093029/18446744073709551616", + "floor_float": 15.371312976099874 + }, + "r=[87/512,11/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "99770220954147538813/2305843009213693952", + "floor_float": 43.26843612313822 + }, + "r=[87/512,11/64],b=[0,1/8],k=[7/4,2]": { + "floor": "784131281017560834547/9223372036854775808", + "floor_float": 85.01568383930811 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "886105867569009779523/18446744073709551616", + "floor_float": 48.035895333523655 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "53780693121886064743/4611686018427387904", + "floor_float": 11.66182886410502 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2006321150273816282483/18446744073709551616", + "floor_float": 108.7628874915244 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "494051141788525738271/18446744073709551616", + "floor_float": 26.78256606230318 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "695233133767941471469/9223372036854775808", + "floor_float": 75.37732740151074 + }, + "r=[87/512,11/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2732865534370978120681/18446744073709551616", + "floor_float": 148.14893747378866 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "338549303306488141587/9223372036854775808", + "floor_float": 36.70558901383484 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "164316867575104737075/18446744073709551616", + "floor_float": 8.907635240047075 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "383241514039360570501/4611686018427387904", + "floor_float": 83.10225642162173 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "188746133982002594003/9223372036854775808", + "floor_float": 20.463896851152732 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "531238146770781860363/9223372036854775808", + "floor_float": 57.596955283605496 + }, + "r=[87/512,11/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2087912798077988077415/18446744073709551616", + "floor_float": 113.18597958182215 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "588100440169090057291/18446744073709551616", + "floor_float": 31.880988743550443 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "142684073756703409859/18446744073709551616", + "floor_float": 7.734919137304989 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "665703749558447626175/9223372036854775808", + "floor_float": 72.17574515030151 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "327864240957097372929/18446744073709551616", + "floor_float": 17.773556116299794 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "922810486467480802373/18446744073709551616", + "floor_float": 50.02565671102239 + }, + "r=[87/512,11/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1813304884051702074949/18446744073709551616", + "floor_float": 98.29945473337156 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "142634255509950541767/2305843009213693952", + "floor_float": 61.857747877896365 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "138498854604192052171/9223372036854775808", + "floor_float": 15.016075904861903 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2583826188217529972589/18446744073709551616", + "floor_float": 140.0694983295193 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "39763502179045592051/1152921504606846976", + "floor_float": 34.489340358522654 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1790595602023602920301/18446744073709551616", + "floor_float": 97.068382087849 + }, + "r=[87/512,11/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3519793269787598802167/18446744073709551616", + "floor_float": 190.8083754901786 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "388081522003780691565/9223372036854775808", + "floor_float": 42.07588292579801 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "94199928478284127559/9223372036854775808", + "floor_float": 10.213176710413478 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1757318321801719190305/18446744073709551616", + "floor_float": 95.26441711230024 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "432736582787510241593/18446744073709551616", + "floor_float": 23.458697158608597 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1217933328601130795853/18446744073709551616", + "floor_float": 66.02429804059238 + }, + "r=[87/512,11/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "598397126133447520055/4611686018427387904", + "floor_float": 129.75669283259325 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1007540253575571000783/18446744073709551616", + "floor_float": 54.61886658966151 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "30574614110075393691/2305843009213693952", + "floor_float": 13.25962521641988 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2281373833197750566759/18446744073709551616", + "floor_float": 123.6735233102292 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "280885453418082421695/9223372036854775808", + "floor_float": 30.453661881546093 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "790519228224765308303/9223372036854775808", + "floor_float": 85.70826646328548 + }, + "r=[87/512,11/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1553827885512420812469/9223372036854775808", + "floor_float": 168.46635691411242 + }, + "r=[87/512,11/64],b=[7/8,1],k=[1,5/4]": { + "floor": "1287470522182953986859/18446744073709551616", + "floor_float": 69.79391685809027 + }, + "r=[87/512,11/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "19531661470349600597/1152921504606846976", + "floor_float": 16.941015838723565 + }, + "r=[87/512,11/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2915458875042841149627/18446744073709551616", + "floor_float": 158.04734230567965 + }, + "r=[87/512,11/64],b=[7/8,1],k=[3/4,1]": { + "floor": "717779813482446715841/18446744073709551616", + "floor_float": 38.910921657195445 + }, + "r=[87/512,11/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2020353515666332582751/18446744073709551616", + "floor_float": 109.52358354370823 + }, + "r=[87/512,11/64],b=[7/8,1],k=[7/4,2]": { + "floor": "3971719918650229955007/18446744073709551616", + "floor_float": 215.30736821522652 + }, + "r=[89/256,179/512],b=[0,1/8],k=[1,5/4]": { + "floor": "400304017231575970943/18446744073709551616", + "floor_float": 21.700524256857474 + }, + "r=[89/256,179/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "46485941114755576627/9223372036854775808", + "floor_float": 5.040015834665123 + }, + "r=[89/256,179/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "455029203510030249051/9223372036854775808", + "floor_float": 49.33436509899235 + }, + "r=[89/256,179/512],b=[0,1/8],k=[3/4,1]": { + "floor": "13785637283084136567/1152921504606846976", + "floor_float": 11.95713431313359 + }, + "r=[89/256,179/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "630631466932762329315/18446744073709551616", + "floor_float": 34.18660032431107 + }, + "r=[89/256,179/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1237064508174672741595/18446744073709551616", + "floor_float": 67.06140136338462 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "711132266706721659259/18446744073709551616", + "floor_float": 38.55055742439844 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "82612198507656422207/9223372036854775808", + "floor_float": 8.956832509580485 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "809463142599265300753/9223372036854775808", + "floor_float": 87.76216977530672 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "195864892439168950387/9223372036854775808", + "floor_float": 21.235714189618662 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "280255579167337779695/4611686018427387904", + "floor_float": 60.77074155688218 + }, + "r=[89/256,179/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1101280393336638873067/9223372036854775808", + "floor_float": 119.40105949712748 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "538352041836318721625/18446744073709551616", + "floor_float": 29.184122666047198 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "62530911575286417263/9223372036854775808", + "floor_float": 6.779615017742451 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "38272019690532641999/576460752303423488", + "floor_float": 66.39137103021359 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "296586692782053050635/18446744073709551616", + "floor_float": 16.07799683222964 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "848349801798670894929/18446744073709551616", + "floor_float": 45.9891349068883 + }, + "r=[89/256,179/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "832754583622935369617/9223372036854775808", + "floor_float": 90.28743287112482 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "465250990387240486229/18446744073709551616", + "floor_float": 25.221306726443935 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "108070867917217829929/18446744073709551616", + "floor_float": 5.858533488912078 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1058008124936995692455/18446744073709551616", + "floor_float": 57.35473537820029 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "16020635120695774035/1152921504606846976", + "floor_float": 13.895685921964743 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "366511159646311166879/9223372036854775808", + "floor_float": 39.73721955287121 + }, + "r=[89/256,179/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "359623219318317062041/4611686018427387904", + "floor_float": 77.98085513223008 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "923564305749113943511/18446744073709551616", + "floor_float": 50.0665213361628 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "53646956810009466847/4611686018427387904", + "floor_float": 11.632829424129659 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "65750198039918588733/576460752303423488", + "floor_float": 114.05841208997103 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "508666912386564172085/18446744073709551616", + "floor_float": 27.57488857405033 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1456317603349877395347/18446744073709551616", + "floor_float": 78.94713546904102 + }, + "r=[89/256,179/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2863665469994805605283/18446744073709551616", + "floor_float": 155.23961619200458 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "620052651463885902137/18446744073709551616", + "floor_float": 33.613121588627116 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "9003604416207937649/1152921504606846976", + "floor_float": 7.809381974602182 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "705529679230995032199/9223372036854775808", + "floor_float": 76.49368109752459 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "341580036475100406221/18446744073709551616", + "floor_float": 18.517090881199085 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "488634426104425230741/9223372036854775808", + "floor_float": 52.97785063336255 + }, + "r=[89/256,179/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "959672902614785542939/9223372036854775808", + "floor_float": 104.04794458904205 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "812112755125967507743/18446744073709551616", + "floor_float": 44.02472067053812 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "94345182368095828937/9223372036854775808", + "floor_float": 10.22892516870306 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "231184743769154743967/2305843009213693952", + "floor_float": 100.2604005760089 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "447317766432961599333/18446744073709551616", + "floor_float": 24.24914470789902 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "320100140387598597379/4611686018427387904", + "floor_float": 69.41065352422987 + }, + "r=[89/256,179/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2516745713109897776993/18446744073709551616", + "floor_float": 136.43305848736657 + }, + "r=[89/256,179/512],b=[7/8,1],k=[1,5/4]": { + "floor": "523100434574145862233/9223372036854775808", + "floor_float": 56.714662759340044 + }, + "r=[89/256,179/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "60765140199681708285/4611686018427387904", + "floor_float": 13.176339403176234 + }, + "r=[89/256,179/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2384245412195297993473/18446744073709551616", + "floor_float": 129.25020278203695 + }, + "r=[89/256,179/512],b=[7/8,1],k=[3/4,1]": { + "floor": "576155275441055627879/18446744073709551616", + "floor_float": 31.233440066108834 + }, + "r=[89/256,179/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "103122271980631750317/1152921504606846976", + "floor_float": 89.4443130504336 + }, + "r=[89/256,179/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3245740772093118690871/18446744073709551616", + "floor_float": 175.9519598214069 + }, + "r=[89/512,45/256],b=[0,1/8],k=[1,5/4]": { + "floor": "253342631344400739997/9223372036854775808", + "floor_float": 27.467463128679352 + }, + "r=[89/512,45/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "122785167339762383951/18446744073709551616", + "floor_float": 6.656197258938329 + }, + "r=[89/512,45/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1147285842932816274417/18446744073709551616", + "floor_float": 62.19449016848113 + }, + "r=[89/512,45/256],b=[0,1/8],k=[3/4,1]": { + "floor": "141187989235983800477/9223372036854775808", + "floor_float": 15.307632465851365 + }, + "r=[89/512,45/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "397581825782870543043/9223372036854775808", + "floor_float": 43.10590792545416 + }, + "r=[89/512,45/256],b=[0,1/8],k=[7/4,2]": { + "floor": "781259106228599480497/9223372036854775808", + "floor_float": 84.70428202471311 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "441463873150827847901/9223372036854775808", + "floor_float": 47.86360903439927 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "107082299632535157163/9223372036854775808", + "floor_float": 11.609886189633835 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "499881571962185038467/4611686018427387904", + "floor_float": 108.39453726137401 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "492148803252115427957/18446744073709551616", + "floor_float": 26.67944008360423 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1385662947079336226307/18446744073709551616", + "floor_float": 75.11693887780415 + }, + "r=[89/512,45/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2723695705144527359621/18446744073709551616", + "floor_float": 147.6518400353567 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "674573479382893794671/18446744073709551616", + "floor_float": 36.56870159240196 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "81781753130429511135/9223372036854775808", + "floor_float": 8.866795441368488 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "763775683356921015585/9223372036854775808", + "floor_float": 82.80872551871745 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "375984456833519156581/18446744073709551616", + "floor_float": 20.38215824598419 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1058653506230212506131/18446744073709551616", + "floor_float": 57.389721568209644 + }, + "r=[89/512,45/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1040299359256637599235/9223372036854775808", + "floor_float": 112.78948253413247 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "585861987145463784829/18446744073709551616", + "floor_float": 31.759641961989324 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "35504522931435583065/4611686018427387904", + "floor_float": 7.698816179064774 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "663299902857340217801/9223372036854775808", + "floor_float": 71.91511956873524 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "326530469997754865057/18446744073709551616", + "floor_float": 17.70125224771393 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "229854665243571642571/4611686018427387904", + "floor_float": 49.84178548260175 + }, + "r=[89/512,45/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "903404202947641122751/9223372036854775808", + "floor_float": 97.9472799468368 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1137130245089464478937/18446744073709551616", + "floor_float": 61.64395410624857 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "275805285957626334429/18446744073709551616", + "floor_float": 14.951434510912213 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "160964007445672725947/1152921504606846976", + "floor_float": 139.61402125165702 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "633857646085302143511/18446744073709551616", + "floor_float": 34.36149184661163 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "892323447367286539971/9223372036854775808", + "floor_float": 96.74590201953667 + }, + "r=[89/512,45/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1754232986722022321661/9223372036854775808", + "floor_float": 190.19432152497515 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "773323930131418505149/18446744073709551616", + "floor_float": 41.921974254175616 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "187547027351667568523/18446744073709551616", + "floor_float": 10.166944724893815 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "437809784130066747463/4611686018427387904", + "floor_float": 94.93486381784562 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "107759814309552523291/4611686018427387904", + "floor_float": 23.36668495621028 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "606819535843151536909/9223372036854775808", + "floor_float": 65.79150590677904 + }, + "r=[89/512,45/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2385380573466123573701/18446744073709551616", + "floor_float": 129.31173999783448 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "501997278551297316749/9223372036854775808", + "floor_float": 54.426653998712744 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "243528593743220409981/18446744073709551616", + "floor_float": 13.20171151993697 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1136903345017488917029/9223372036854775808", + "floor_float": 123.26330765739985 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "559645242132897276815/18446744073709551616", + "floor_float": 30.33842936708317 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1575685639271341671977/18446744073709551616", + "floor_float": 85.41808966260997 + }, + "r=[89/512,45/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1548724517990767383171/9223372036854775808", + "floor_float": 167.91304869871556 + }, + "r=[89/512,45/256],b=[7/8,1],k=[1,5/4]": { + "floor": "160387615314783673673/2305843009213693952", + "floor_float": 69.55704038562313 + }, + "r=[89/512,45/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "155589899138876933239/9223372036854775808", + "floor_float": 16.86909066631709 + }, + "r=[89/512,45/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2906158832508093715923/18446744073709551616", + "floor_float": 157.54318598966063 + }, + "r=[89/512,45/256],b=[7/8,1],k=[3/4,1]": { + "floor": "715162155371501737235/18446744073709551616", + "floor_float": 38.7690181266599 + }, + "r=[89/512,45/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "251720708181158982731/2305843009213693952", + "floor_float": 109.1664554678409 + }, + "r=[89/512,45/256],b=[7/8,1],k=[7/4,2]": { + "floor": "989797572928763388607/4611686018427387904", + "floor_float": 214.62813577804894 + }, + "r=[9/32,145/512],b=[0,1/8],k=[1,5/4]": { + "floor": "111203861467010848903/4611686018427387904", + "floor_float": 24.113493638262046 + }, + "r=[9/32,145/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "105062749807040898465/18446744073709551616", + "floor_float": 5.695463079404738 + }, + "r=[9/32,145/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "126392666281074594591/2305843009213693952", + "floor_float": 54.81408134727057 + }, + "r=[9/32,145/512],b=[0,1/8],k=[3/4,1]": { + "floor": "246089738507307937363/18446744073709551616", + "floor_float": 13.340551455800648 + }, + "r=[9/32,145/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "700180743731241864223/18446744073709551616", + "floor_float": 37.95687417429643 + }, + "r=[9/32,145/512],b=[0,1/8],k=[7/4,2]": { + "floor": "688353920454656008479/9223372036854775808", + "floor_float": 74.63148159958521 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "195820143878051207335/4611686018427387904", + "floor_float": 42.46172508180143 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "92582474438366912825/9223372036854775808", + "floor_float": 10.03781199201611 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "13919374908270404863/144115188075855872", + "floor_float": 96.58506569719675 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "216688936420601169221/9223372036854775808", + "floor_float": 23.493461562078913 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1233245545820906941155/18446744073709551616", + "floor_float": 66.85437499935495 + }, + "r=[9/32,145/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2426957383289312164985/18446744073709551616", + "floor_float": 131.56562337460036 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "297724780518290718797/9223372036854775808", + "floor_float": 32.27938538407008 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "140711135605786457565/18446744073709551616", + "floor_float": 7.627965945834805 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1353962836737788138839/18446744073709551616", + "floor_float": 73.39847245278732 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "164726388820670487983/9223372036854775808", + "floor_float": 17.859670862506285 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "29293650239530339861/576460752303423488", + "floor_float": 50.8163827675669 + }, + "r=[9/32,145/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1843875185883846292187/18446744073709551616", + "floor_float": 99.95667411636897 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "257869174605629477969/9223372036854775808", + "floor_float": 27.958231932446736 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "60926387567584174049/9223372036854775808", + "floor_float": 6.605652176246859 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1172534447326095817321/18446744073709551616", + "floor_float": 63.56321975525217 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "285347941957191613989/18446744073709551616", + "floor_float": 15.468742929212738 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "811865194437829969569/18446744073709551616", + "floor_float": 44.01130037874309 + }, + "r=[9/32,145/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "199579712129764963581/2305843009213693952", + "floor_float": 86.5539029900491 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "253341543853048185429/4611686018427387904", + "floor_float": 54.93469044526131 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "239630766939282052201/18446744073709551616", + "floor_float": 12.99040990549686 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1152856050469808482349/9223372036854775808", + "floor_float": 124.99290344824247 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "140173764350381402329/4611686018427387904", + "floor_float": 30.395339966830935 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "398919505228973148263/4611686018427387904", + "floor_float": 86.50187884321905 + }, + "r=[9/32,145/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "392695212115762217403/2305843009213693952", + "floor_float": 170.30440084022615 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "342183092515281063697/9223372036854775808", + "floor_float": 37.099565229287606 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "161752884464703352349/18446744073709551616", + "floor_float": 8.768641437121408 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1556425445783511427501/18446744073709551616", + "floor_float": 84.37399248151014 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "378650907903644563215/18446744073709551616", + "floor_float": 20.526706848137003 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1077436086577581199535/18446744073709551616", + "floor_float": 58.40792728908468 + }, + "r=[9/32,145/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "132489348007188894405/1152921504606846976", + "floor_float": 114.91619115246579 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "892745778294960887837/18446744073709551616", + "floor_float": 48.39584561523296 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "211074538289377966979/18446744073709551616", + "floor_float": 11.442373648485919 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1015504687067056344337/9223372036854775808", + "floor_float": 110.10123878873148 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "123485650739175974267/4611686018427387904", + "floor_float": 26.776682160440167 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1405681290667556167401/18446744073709551616", + "floor_float": 76.2021354581996 + }, + "r=[9/32,145/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2766962225309622309013/18446744073709551616", + "floor_float": 149.99732279330092 + }, + "r=[9/32,145/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1145899166227182122265/18446744073709551616", + "floor_float": 62.11931827364195 + }, + "r=[9/32,145/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "270985115529371156849/18446744073709551616", + "floor_float": 14.69013254840898 + }, + "r=[9/32,145/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2607690126577517373925/18446744073709551616", + "floor_float": 141.36316502021722 + }, + "r=[9/32,145/512],b=[7/8,1],k=[3/4,1]": { + "floor": "634014457068300637431/18446744073709551616", + "floor_float": 34.36999258703346 + }, + "r=[9/32,145/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1804500503918313014203/18446744073709551616", + "floor_float": 97.82216832997112 + }, + "r=[9/32,145/512],b=[7/8,1],k=[7/4,2]": { + "floor": "444169890228319844081/2305843009213693952", + "floor_float": 192.62798397527695 + }, + "r=[9/64,73/512],b=[0,1/8],k=[1,5/4]": { + "floor": "130703290999136644391/4611686018427387904", + "floor_float": 28.341758410453807 + }, + "r=[9/64,73/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "127625552690985114021/18446744073709551616", + "floor_float": 6.9185950746114635 + }, + "r=[9/64,73/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1181786683242929488199/18446744073709551616", + "floor_float": 64.06478446932114 + }, + "r=[9/64,73/512],b=[0,1/8],k=[3/4,1]": { + "floor": "292013889338682157165/18446744073709551616", + "floor_float": 15.830104660847043 + }, + "r=[9/64,73/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "102444917110028661663/2305843009213693952", + "floor_float": 44.4284006763162 + }, + "r=[9/64,73/512],b=[0,1/8],k=[7/4,2]": { + "floor": "804519540825737718365/9223372036854775808", + "floor_float": 87.22618339703052 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "14201395516817333383/288230376151711744", + "floor_float": 49.27098838930962 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "222037358138204356041/18446744073709551616", + "floor_float": 12.036669303319158 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1027348299661447800809/9223372036854775808", + "floor_float": 111.38532583922307 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "507746839160249435881/18446744073709551616", + "floor_float": 27.525011304509523 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "356193486584651566217/4611686018427387904", + "floor_float": 77.23715039605312 + }, + "r=[9/64,73/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2797957490245684742543/18446744073709551616", + "floor_float": 151.67757947232306 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "695201030057663435221/18446744073709551616", + "floor_float": 37.686923355133956 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "169777956872535680527/18446744073709551616", + "floor_float": 9.203681484067673 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "785754111545368180207/9223372036854775808", + "floor_float": 85.19163147769055 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "194168359789433673143/9223372036854775808", + "floor_float": 21.051775751165106 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "544889138455443332121/9223372036854775808", + "floor_float": 59.07699876771465 + }, + "r=[9/64,73/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1069910816369159599417/9223372036854775808", + "floor_float": 115.99996314731824 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "604143076806771308319/18446744073709551616", + "floor_float": 32.75066181829892 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "36878489254483961101/4611686018427387904", + "floor_float": 7.996747633538968 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1365633153545535133091/18446744073709551616", + "floor_float": 74.03112159461499 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "337459195873666961163/18446744073709551616", + "floor_float": 18.293699664572056 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "236760361802704673513/4611686018427387904", + "floor_float": 51.33921972498929 + }, + "r=[9/64,73/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "464854484728790506489/4611686018427387904", + "floor_float": 100.79924844651688 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "292333137225317324495/4611686018427387904", + "floor_float": 63.389644493838425 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "285635914333036297701/18446744073709551616", + "floor_float": 15.484353942988069 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2643689931537262600965/18446744073709551616", + "floor_float": 143.31471835753774 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "653198922385085954117/18446744073709551616", + "floor_float": 35.40998453575503 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "28642191751990268949/288230376151711744", + "floor_float": 99.37256487121358 + }, + "r=[9/64,73/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3600268926243749181481/18446744073709551616", + "floor_float": 195.17096956827635 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "398254415921447861257/9223372036854775808", + "floor_float": 43.17883029439794 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "97280686658227672651/9223372036854775808", + "floor_float": 10.547193181573206 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1800577699464952531769/18446744073709551616", + "floor_float": 97.60951267444266 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "444954653798524416091/18446744073709551616", + "floor_float": 24.121040115294782 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1248595855451710994351/18446744073709551616", + "floor_float": 67.6865169518571 + }, + "r=[9/64,73/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2451820426382327983905/18446744073709551616", + "floor_float": 132.9134516414028 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1032957559871261356413/18446744073709551616", + "floor_float": 55.996741524887355 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "252333893763478104515/18446744073709551616", + "floor_float": 13.679047790504471 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1167631207563405440237/9223372036854775808", + "floor_float": 126.59482919021171 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "288525161080412046785/9223372036854775808", + "floor_float": 31.281960646011285 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1619280933354736800767/18446744073709551616", + "floor_float": 87.78139529037804 + }, + "r=[9/64,73/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1590065262175239170757/9223372036854775808", + "floor_float": 172.39522116441276 + }, + "r=[9/64,73/512],b=[7/8,1],k=[1,5/4]": { + "floor": "82419541640356303653/1152921504606846976", + "floor_float": 71.48755688138704 + }, + "r=[9/64,73/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "40264897656880257131/2305843009213693952", + "floor_float": 17.46211580579843 + }, + "r=[9/64,73/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2981698374886676113389/18446744073709551616", + "floor_float": 161.63819278743162 + }, + "r=[9/64,73/512],b=[7/8,1],k=[3/4,1]": { + "floor": "46039398250146919451/1152921504606846976", + "floor_float": 39.9328124821877 + }, + "r=[9/64,73/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2067410243462925202875/18446744073709551616", + "floor_float": 112.07453386906445 + }, + "r=[9/64,73/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4060726392128345898417/18446744073709551616", + "floor_float": 220.13241881073884 + }, + "r=[91/256,183/512],b=[0,1/8],k=[1,5/4]": { + "floor": "24676003137269581273/1152921504606846976", + "floor_float": 21.40302096774944 + }, + "r=[91/256,183/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "91514807508959736833/18446744073709551616", + "floor_float": 4.961027655790345 + }, + "r=[91/256,183/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "897435399003406199551/18446744073709551616", + "floor_float": 48.650070463244425 + }, + "r=[91/256,183/512],b=[0,1/8],k=[3/4,1]": { + "floor": "217449364612426341023/18446744073709551616", + "floor_float": 11.78795367591926 + }, + "r=[91/256,183/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "622002605777510701347/18446744073709551616", + "floor_float": 33.718828823781095 + }, + "r=[91/256,183/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1219579502035748162581/18446744073709551616", + "floor_float": 66.1135372812974 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "702199809301886758173/18446744073709551616", + "floor_float": 38.06632793820063 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "162809972860616663645/18446744073709551616", + "floor_float": 8.82594631388933 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "799263883072798703461/9223372036854775808", + "floor_float": 86.65636384167286 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "193308272920080870651/9223372036854775808", + "floor_float": 20.95852494593725 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "553519317171035658859/9223372036854775808", + "floor_float": 60.01268461895298 + }, + "r=[91/256,183/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2174314529302942973079/18446744073709551616", + "floor_float": 117.86982681685238 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "265648938342286836137/9223372036854775808", + "floor_float": 28.801715606917522 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "15396405492724016409/2305843009213693952", + "floor_float": 6.677126513471653 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1208525732550453852301/18446744073709551616", + "floor_float": 65.51431123679188 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "292559634475691421407/18446744073709551616", + "floor_float": 15.859689564005485 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "52329705276482035685/1152921504606846976", + "floor_float": 45.38878411703039 + }, + "r=[91/256,183/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1643099786206935708885/18446744073709551616", + "floor_float": 89.07261789080138 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "229506168878058937991/9223372036854775808", + "floor_float": 24.883108689641656 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "106407490311659819437/18446744073709551616", + "floor_float": 5.768361608231592 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1043688372626978177185/18446744073709551616", + "floor_float": 56.578460050001524 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "252777551235697261177/18446744073709551616", + "floor_float": 13.703098510265443 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "723227551507506302323/18446744073709551616", + "floor_float": 39.20624412729052 + }, + "r=[91/256,183/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1418657632386932152443/18446744073709551616", + "floor_float": 76.9055843523527 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "912424433085431085905/18446744073709551616", + "floor_float": 49.462627629003954 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "211546719663787366381/18446744073709551616", + "floor_float": 11.467970652083013 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "519668812632188245895/4611686018427387904", + "floor_float": 112.68521112575621 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "251134886885772018863/9223372036854775808", + "floor_float": 27.228098994845546 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1438932981897062638289/18446744073709551616", + "floor_float": 78.00471325169201 + }, + "r=[91/256,183/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "2828612453403378956957/18446744073709551616", + "floor_float": 153.3393883549748 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "612098715265426670769/18446744073709551616", + "floor_float": 33.18193784331809 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "141917855491097356077/18446744073709551616", + "floor_float": 7.693382361896582 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1392856818417280509415/18446744073709551616", + "floor_float": 75.50691942446316 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "84258068829666654849/4611686018427387904", + "floor_float": 18.27055625491155 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "964799108419686023727/18446744073709551616", + "floor_float": 52.30186446803506 + }, + "r=[91/256,183/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "59191635635865456511/576460752303423488", + "floor_float": 102.68111991900116 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "802118325261223899583/18446744073709551616", + "floor_float": 43.48292154193267 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "185977369889560528005/18446744073709551616", + "floor_float": 10.081853423370088 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1826705131551674770367/18446744073709551616", + "floor_float": 99.02588360593725 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "441588991451609368831/18446744073709551616", + "floor_float": 23.938587193875886 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1264786350758275993273/18446744073709551616", + "floor_float": 68.56420546110681 + }, + "r=[91/256,183/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "621304574977631667877/4611686018427387904", + "floor_float": 134.72395399318626 + }, + "r=[91/256,183/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1033826990411021115815/18446744073709551616", + "floor_float": 56.043873448888995 + }, + "r=[91/256,183/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "239665957656806389489/18446744073709551616", + "floor_float": 12.99231759811642 + }, + "r=[91/256,183/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2356174090392626740817/18446744073709551616", + "floor_float": 127.72845337788716 + }, + "r=[91/256,183/512],b=[7/8,1],k=[3/4,1]": { + "floor": "284518680392948814203/9223372036854775808", + "floor_float": 30.8475771394744 + }, + "r=[91/256,183/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1630662217252265600867/18446744073709551616", + "floor_float": 88.3983759267468 + }, + "r=[91/256,183/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1603451087544560501617/9223372036854775808", + "floor_float": 173.8465152590057 + }, + "r=[91/512,23/128],b=[0,1/8],k=[1,5/4]": { + "floor": "252344291912642154897/9223372036854775808", + "floor_float": 27.359222950600294 + }, + "r=[91/512,23/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "7637116891281034459/1152921504606846976", + "floor_float": 6.624142980042111 + }, + "r=[91/512,23/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "571493785033214912409/9223372036854775808", + "floor_float": 61.96148032949755 + }, + "r=[91/512,23/128],b=[0,1/8],k=[3/4,1]": { + "floor": "70297639341781396361/4611686018427387904", + "floor_float": 15.24337065899237 + }, + "r=[91/512,23/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "396067376353704144089/9223372036854775808", + "floor_float": 42.941710989331995 + }, + "r=[91/512,23/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1556703064242400194261/18446744073709551616", + "floor_float": 84.3890422083226 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "27491114803883596649/576460752303423488", + "floor_float": 47.689482231070414 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "213199054366732435071/18446744073709551616", + "floor_float": 11.557543895813323 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "996325094047914811805/9223372036854775808", + "floor_float": 108.02178314685737 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "490228484196184765293/18446744073709551616", + "floor_float": 26.575339378988964 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1380803995783684512877/18446744073709551616", + "floor_float": 74.8535346002668 + }, + "r=[91/512,23/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2714414948593111205019/18446744073709551616", + "floor_float": 147.148729214589 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "336010707567776269045/9223372036854775808", + "floor_float": 36.43035391233746 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "20350544425766529931/2305843009213693952", + "floor_float": 8.825641791071538 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "761035207176568529795/9223372036854775808", + "floor_float": 82.51160249587916 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "374462431815113211391/18446744073709551616", + "floor_float": 20.29964910440754 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "527393353740310688665/9223372036854775808", + "floor_float": 57.1801019879661 + }, + "r=[91/512,23/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1036596242457362769737/9223372036854775808", + "floor_float": 112.38798980625835 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "145900082154553918835/4611686018427387904", + "floor_float": 31.637037207556187 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "35336741909689828399/4611686018427387904", + "floor_float": 7.662434469409057 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1321735493436772857321/18446744073709551616", + "floor_float": 71.65142467176747 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "325183129988371121853/18446744073709551616", + "floor_float": 17.628212799451408 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "915989251650035962923/18446744073709551616", + "floor_float": 49.65587683061702 + }, + "r=[91/512,23/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "450057437739549040033/4611686018427387904", + "floor_float": 97.59065034809575 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "70821662010215313283/1152921504606846976", + "floor_float": 61.427999848407644 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "274603989619292364451/18446744073709551616", + "floor_float": 14.886312105921185 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2566920747160621267739/18446744073709551616", + "floor_float": 139.153052533483 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "78934831143959028543/2305843009213693952", + "floor_float": 34.23252616442274 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1778631882631985748575/18446744073709551616", + "floor_float": 96.41982756007909 + }, + "r=[91/512,23/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3496995824416614003987/18446744073709551616", + "floor_float": 189.57252350026152 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "770454560489825457931/18446744073709551616", + "floor_float": 41.766425414221665 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "186687399010989405049/18446744073709551616", + "floor_float": 10.120344179169146 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1745085618085966943511/18446744073709551616", + "floor_float": 94.60128091510073 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "429325797886286878815/18446744073709551616", + "floor_float": 23.27379813861924 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1209294940748615805067/18446744073709551616", + "floor_float": 65.55601009676893 + }, + "r=[91/512,23/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "594268119577987940539/4611686018427387904", + "floor_float": 128.861357257066 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1000411970949098015555/18446744073709551616", + "floor_float": 54.23244161417587 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "121226232115601145719/9223372036854775808", + "floor_float": 13.143374422196679 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "566537271510338805401/4611686018427387904", + "floor_float": 122.84818811310389 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "557500663646072024175/18446744073709551616", + "floor_float": 30.222171534359088 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1570271351919368502355/18446744073709551616", + "floor_float": 85.12458055713647 + }, + "r=[91/512,23/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1543558199671607719513/9223372036854775808", + "floor_float": 167.35291534417712 + }, + "r=[91/512,23/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1278685799366876547609/18446744073709551616", + "floor_float": 69.31769607999657 + }, + "r=[91/512,23/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "154921419661002800703/9223372036854775808", + "floor_float": 16.796613976099778 + }, + "r=[91/512,23/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2896747639978410578573/18446744073709551616", + "floor_float": 157.03300422034252 + }, + "r=[91/512,23/128],b=[7/8,1],k=[3/4,1]": { + "floor": "712520995896057347211/18446744073709551616", + "floor_float": 38.62584058460203 + }, + "r=[91/512,23/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "501776142877001055823/4611686018427387904", + "floor_float": 108.80535684172828 + }, + "r=[91/512,23/128],b=[7/8,1],k=[7/4,2]": { + "floor": "986625325839273950665/4611686018427387904", + "floor_float": 213.9402643408319 + }, + "r=[93/256,187/512],b=[0,1/8],k=[1,5/4]": { + "floor": "389278163797286601019/18446744073709551616", + "floor_float": 21.102811544509308 + }, + "r=[93/256,187/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "45026086579268079439/9223372036854775808", + "floor_float": 4.881738088776286 + }, + "r=[93/256,187/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "884700870095709188221/18446744073709551616", + "floor_float": 47.959730267879195 + }, + "r=[93/256,187/512],b=[0,1/8],k=[3/4,1]": { + "floor": "214311621334513091503/18446744073709551616", + "floor_float": 11.617856271988494 + }, + "r=[93/256,187/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "306642189954757500093/9223372036854775808", + "floor_float": 33.24621285246608 + }, + "r=[93/256,187/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1201877613501815609823/18446744073709551616", + "floor_float": 65.1539159810181 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "346594165678494580931/9223372036854775808", + "floor_float": 37.57781473994247 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "160382552861898446515/18446744073709551616", + "floor_float": 8.694355612082077 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "788948529384490492709/9223372036854775808", + "floor_float": 85.53797095379085 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "381467043030408233955/18446744073709551616", + "floor_float": 20.6793698392595 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "546445110050065526215/9223372036854775808", + "floor_float": 59.24569754603616 + }, + "r=[93/256,187/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2145725737106442342485/18446744073709551616", + "floor_float": 116.32002528644325 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "524181400984814090689/18446744073709551616", + "floor_float": 28.41593068621154 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "121271720051509633741/18446744073709551616", + "floor_float": 6.574153117045033 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1192178250465247013045/18446744073709551616", + "floor_float": 64.62811245721943 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "36063457247876109489/2305843009213693952", + "floor_float": 15.640031478194155 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "826078707050243433635/18446744073709551616", + "floor_float": 44.781816441394525 + }, + "r=[93/256,187/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "810209736645184838947/9223372036854775808", + "floor_float": 87.84311566396178 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "452718030453525797911/18446744073709551616", + "floor_float": 24.54189360705357 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "52368427221226757381/9223372036854775808", + "floor_float": 5.677796256290308 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "64326819382823882621/1152921504606846976", + "floor_float": 55.794621859152244 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "249204535264104826951/18446744073709551616", + "floor_float": 13.509404926329148 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "713328263218859541237/18446744073709551616", + "floor_float": 38.66960263385997 + }, + "r=[93/256,187/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1398579872584442662849/18446744073709551616", + "floor_float": 75.81716681252763 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "901185328007846296973/18446744073709551616", + "floor_float": 48.85335452190844 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "208488171527570636907/18446744073709551616", + "floor_float": 11.30216642538613 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "513258808344443570031/4611686018427387904", + "floor_float": 111.29526301087337 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "61977681570439681621/2305843009213693952", + "floor_float": 26.878534801714206 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "355335461142752063655/4611686018427387904", + "floor_float": 77.05109578642207 + }, + "r=[93/256,187/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1396561112833617547269/9223372036854775808", + "floor_float": 151.41545925429818 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "302037208437831539079/9223372036854775808", + "floor_float": 32.74693975597541 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "4367718029012010217/576460752303423488", + "floor_float": 7.576783001374283 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "687227575068129883107/9223372036854775808", + "floor_float": 74.50936298808115 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "332454431497817090483/18446744073709551616", + "floor_float": 18.02239084411833 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "238047020244228324463/4611686018427387904", + "floor_float": 51.61821930049864 + }, + "r=[93/256,187/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "467154151699016795457/4611686018427387904", + "floor_float": 101.29790923153938 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "396017767651032992225/9223372036854775808", + "floor_float": 42.93633240301097 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "45812182123607384231/4611686018427387904", + "floor_float": 9.933933476943343 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1803663723400951927711/18446744073709551616", + "floor_float": 97.77680636723031 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "435816841918925972099/18446744073709551616", + "floor_float": 23.62567834071356 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "312247210668893418927/4611686018427387904", + "floor_float": 67.70782083195064 + }, + "r=[93/256,187/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "613325694904772328249/4611686018427387904", + "floor_float": 132.99381017138717 + }, + "r=[93/256,187/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1021340379174321566111/18446744073709551616", + "floor_float": 55.36697289739841 + }, + "r=[93/256,187/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "59062999104632382493/4611686018427387904", + "floor_float": 12.807246388550366 + }, + "r=[93/256,187/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1163869581229702512811/9223372036854775808", + "floor_float": 126.18699284590377 + }, + "r=[93/256,187/512],b=[7/8,1],k=[3/4,1]": { + "floor": "561859640184398111737/18446744073709551616", + "floor_float": 30.45847212599241 + }, + "r=[93/256,187/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "25174069781511105751/288230376151711744", + "floor_float": 87.3400996717313 + }, + "r=[93/256,187/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3167572537044239617789/18446744073709551616", + "floor_float": 171.71445130843927 + }, + "r=[93/512,47/256],b=[0,1/8],k=[1,5/4]": { + "floor": "251336004234282347643/9223372036854775808", + "floor_float": 27.249904181463485 + }, + "r=[93/512,47/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "121598566741103645831/18446744073709551616", + "floor_float": 6.591871511591409 + }, + "r=[93/512,47/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1138637937976927851635/18446744073709551616", + "floor_float": 61.72568630145001 + }, + "r=[93/512,47/256],b=[0,1/8],k=[3/4,1]": { + "floor": "279995043940449319065/18446744073709551616", + "floor_float": 15.178561746270471 + }, + "r=[93/512,47/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "789071962099975500833/18446744073709551616", + "floor_float": 42.77567677780965 + }, + "r=[93/512,47/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1550814264802111817685/18446744073709551616", + "floor_float": 84.069809750998 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "876472042611544121161/18446744073709551616", + "floor_float": 47.51364463611219 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "212225739620287888921/18446744073709551616", + "floor_float": 11.504780397682955 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "248212214252167186679/2305843009213693952", + "floor_float": 107.64488877185487 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "122072581232447075661/4611686018427387904", + "floor_float": 26.470271554626468 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1375895748031308872361/18446744073709551616", + "floor_float": 74.58745795645567 + }, + "r=[93/512,47/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1352511086192049518863/9223372036854775808", + "floor_float": 146.63954579601494 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "83680297288323208767/2305843009213693952", + "floor_float": 36.29054404569315 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "40509194343621186559/4611686018427387904", + "floor_float": 8.78403130259832 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1516524120948755547925/18446744073709551616", + "floor_float": 82.21093732796554 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "372926062485544521855/18446744073709551616", + "floor_float": 20.216362356164616 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1050875387822465038407/18446744073709551616", + "floor_float": 56.96806892443318 + }, + "r=[93/512,47/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "258211422532174280391/2305843009213693952", + "floor_float": 111.98135410798236 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "145328814644380283187/4611686018427387904", + "floor_float": 31.51316331243606 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "8791929202794489379/1152921504606846976", + "floor_float": 7.625782993606828 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "658406025971816103601/9223372036854775808", + "floor_float": 71.38452437361904 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "323823501960659000477/18446744073709551616", + "floor_float": 17.554507216380525 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "912520763871456574849/18446744073709551616", + "floor_float": 49.46784973137826 + }, + "r=[93/512,47/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1793565743241812801259/18446744073709551616", + "floor_float": 97.22939376591759 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1129122838264931660503/18446744073709551616", + "floor_float": 61.20987171249189 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "273393545845015850913/18446744073709551616", + "floor_float": 14.820693817434076 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "639579334987754079799/4611686018427387904", + "floor_float": 138.68666089411144 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "629078102496063119737/18446744073709551616", + "floor_float": 34.102392269464524 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "886275515532689981281/9223372036854775808", + "floor_float": 96.09018393612529 + }, + "r=[93/512,47/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1742691075175954322413/9223372036854775808", + "floor_float": 188.9429449676869 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "383777487467172390103/9223372036854775808", + "floor_float": 41.609238566293676 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "185820904276419006615/18446744073709551616", + "floor_float": 10.073371405485723 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "869431942230999978831/9223372036854775808", + "floor_float": 94.26400005951417 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "427596129872098744491/18446744073709551616", + "floor_float": 23.18003264768617 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "602452104001903924911/9223372036854775808", + "floor_float": 65.31798799773273 + }, + "r=[93/512,47/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2368660922813076394059/18446744073709551616", + "floor_float": 128.40536591977286 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "124599285725865451785/2305843009213693952", + "floor_float": 54.03632650965017 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "120684034017525838847/9223372036854775808", + "floor_float": 13.084589186611604 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "564601052047942728711/4611686018427387904", + "floor_float": 122.42833744359618 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "277668432528790683459/9223372036854775808", + "floor_float": 30.104871777835957 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1564800399535983551921/18446744073709551616", + "floor_float": 84.82799963415493 + }, + "r=[93/512,47/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1538328529437685595911/9223372036854775808", + "floor_float": 166.785913361277 + }, + "r=[93/512,47/256],b=[7/8,1],k=[1,5/4]": { + "floor": "637112541223447471679/9223372036854775808", + "floor_float": 69.07588013122222 + }, + "r=[93/512,47/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "154247777780652938419/9223372036854775808", + "floor_float": 16.723577577084523 + }, + "r=[93/512,47/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "721806014937678649529/4611686018427387904", + "floor_float": 156.51672990170712 + }, + "r=[93/512,47/256],b=[7/8,1],k=[3/4,1]": { + "floor": "354927744213724229723/9223372036854775808", + "floor_float": 38.481343135189924 + }, + "r=[93/512,47/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2000368984162547621679/18446744073709551616", + "floor_float": 108.44021992008278 + }, + "r=[93/512,47/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3933652103179330513365/18446744073709551616", + "floor_float": 213.24370780346018 + }, + "r=[95/256,191/512],b=[0,1/8],k=[1,5/4]": { + "floor": "191848386920636667081/9223372036854775808", + "floor_float": 20.800243788719392 + }, + "r=[95/256,191/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "22146239064977075255/4611686018427387904", + "floor_float": 4.8022001013262985 + }, + "r=[95/256,191/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "871825303896092148911/18446744073709551616", + "floor_float": 47.26174442559891 + }, + "r=[95/256,191/512],b=[0,1/8],k=[3/4,1]": { + "floor": "211153987310350342591/18446744073709551616", + "floor_float": 11.446680588542923 + }, + "r=[95/256,191/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "302246466729456864881/9223372036854775808", + "floor_float": 32.76962758541449 + }, + "r=[95/256,191/512],b=[0,1/8],k=[7/4,2]": { + "floor": "36999045219333299713/576460752303423488", + "floor_float": 64.18311233070493 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "684094131947975278583/18446744073709551616", + "floor_float": 37.084817202129 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "19743257111140479851/2305843009213693952", + "floor_float": 8.562272900735357 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "389258301899021176421/4611686018427387904", + "floor_float": 84.40693931538742 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "188140209790517652013/9223372036854775808", + "floor_float": 20.39820241867578 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "134825005612907768029/2305843009213693952", + "floor_float": 58.471025596353975 + }, + "r=[95/256,191/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1058391168548066624435/9223372036854775808", + "floor_float": 114.75100042792856 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "129251088939046355247/4611686018427387904", + "floor_float": 28.026862284766242 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "59682884967960828461/9223372036854775808", + "floor_float": 6.470831354246559 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1175650976576925535793/18446744073709551616", + "floor_float": 63.73216714447038 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "71106611835716794355/4611686018427387904", + "floor_float": 15.418788606073527 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "814772816329231740035/18446744073709551616", + "floor_float": 44.168922877314294 + }, + "r=[95/256,191/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "3120056611465736129/36028797018963968", + "floor_float": 86.59896720458016 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "446373226522054843979/18446744073709551616", + "floor_float": 24.1979410967288 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "103060167783404557359/18446744073709551616", + "floor_float": 5.5869028903743905 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1014612462706469378485/18446744073709551616", + "floor_float": 55.0022518148611 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "15350515853731571837/1152921504606846976", + "floor_float": 13.314450109911158 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "703339744266374809429/18446744073709551616", + "floor_float": 38.12812393645014 + }, + "r=[95/256,191/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1378263406094757787033/18446744073709551616", + "floor_float": 74.71580895726036 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "889835963244136456611/18446744073709551616", + "floor_float": 48.23810422525121 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "102707642891505995075/9223372036854775808", + "floor_float": 11.135584955383617 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "506772825860207283407/4611686018427387904", + "floor_float": 109.88883975085099 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "244662923268753203515/9223372036854775808", + "floor_float": 26.52640729346365 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1403571341109739219675/18446744073709551616", + "floor_float": 76.08775486347861 + }, + "r=[95/256,191/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1378584671967091034069/9223372036854775808", + "floor_float": 149.46644963019367 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "595980176063291566987/18446744073709551616", + "floor_float": 32.30815008230571 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "68804132237487219115/9223372036854775808", + "floor_float": 7.459758964786357 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "677923340569528348791/9223372036854775808", + "floor_float": 73.50059586241132 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "327844907293401335867/18446744073709551616", + "floor_float": 17.772508036290727 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "939449909254060966161/18446744073709551616", + "floor_float": 50.92768162772815 + }, + "r=[95/256,191/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1842794698805796720167/18446744073709551616", + "floor_float": 99.89810079450078 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "195463892645102917721/4611686018427387904", + "floor_float": 42.3844754096588 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "180507468259402719529/18446744073709551616", + "floor_float": 9.785329461835133 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "445089396434227149859/4611686018427387904", + "floor_float": 96.5133781128502 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "430001946463252341011/18446744073709551616", + "floor_float": 23.310452226422687 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "154128438538572428917/2305843009213693952", + "floor_float": 66.84255516212751 + }, + "r=[95/256,191/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2420981269372366632171/18446744073709551616", + "floor_float": 131.2416575900117 + }, + "r=[95/256,191/512],b=[7/8,1],k=[1,5/4]": { + "floor": "126091415603464055943/2305843009213693952", + "floor_float": 54.68343469161935 + }, + "r=[95/256,191/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "116410290744736334537/9223372036854775808", + "floor_float": 12.621229012511234 + }, + "r=[95/256,191/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1149482184245873451337/9223372036854775808", + "floor_float": 124.62710813927589 + }, + "r=[95/256,191/512],b=[7/8,1],k=[3/4,1]": { + "floor": "277314880565033995627/9223372036854775808", + "floor_float": 30.066539597116805 + }, + "r=[95/256,191/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "795707084904147053171/9223372036854775808", + "floor_float": 86.2707350115184 + }, + "r=[95/256,191/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3127717757704856491461/18446744073709551616", + "floor_float": 169.5539193912548 + }, + "r=[95/512,3/16],b=[0,1/8],k=[1,5/4]": { + "floor": "500634650455956694249/18446744073709551616", + "floor_float": 27.13945878229347 + }, + "r=[95/512,3/16],b=[0,1/8],k=[1/2,3/4]": { + "floor": "30249726717760713101/4611686018427387904", + "floor_float": 6.559363884897794 + }, + "r=[95/512,3/16],b=[0,1/8],k=[3/2,7/4]": { + "floor": "567117517454482044935/9223372036854775808", + "floor_float": 61.48700444787354 + }, + "r=[95/512,3/16],b=[0,1/8],k=[3/4,1]": { + "floor": "278788735521827874289/18446744073709551616", + "floor_float": 15.113167635862625 + }, + "r=[95/512,3/16],b=[0,1/8],k=[5/4,3/2]": { + "floor": "392987245089772903459/9223372036854775808", + "floor_float": 42.60776248854252 + }, + "r=[95/512,3/16],b=[0,1/8],k=[7/4,2]": { + "floor": "772424438297185452193/9223372036854775808", + "floor_float": 83.7464254082704 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[1,5/4]": { + "floor": "218299478983525773731/4611686018427387904", + "floor_float": 47.33615387327847 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "105622756869150472217/9223372036854775808", + "floor_float": 11.451642246144118 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1978667874737440018707/18446744073709551616", + "floor_float": 107.26380042088041 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[3/4,1]": { + "floor": "486336322299968292389/18446744073709551616", + "floor_float": 26.364344859811805 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "685468014664982487911/9223372036854775808", + "floor_float": 74.31859106690996 + }, + "r=[95/512,3/16],b=[1/2,5/8],k=[7/4,2]": { + "floor": "168469813079924721327/1152921504606846976", + "floor_float": 146.124269871585 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[1,5/4]": { + "floor": "166709042358633868319/4611686018427387904", + "floor_float": 36.14926117964176 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "20157823620081448579/2305843009213693952", + "floor_float": 8.742062464588768 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1510910916605389946085/18446744073709551616", + "floor_float": 81.90664491078142 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[3/4,1]": { + "floor": "371375219997733998573/18446744073709551616", + "floor_float": 20.13229101644127 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "130865120494417067407/2305843009213693952", + "floor_float": 56.75369917704972 + }, + "r=[95/512,3/16],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2058098254678565343893/18446744073709551616", + "floor_float": 111.56972994555628 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[1,5/4]": { + "floor": "289503076145273437403/9223372036854775808", + "floor_float": 31.387986409794188 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "69994779350361231223/9223372036854775808", + "floor_float": 7.588849183430517 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1311828238312412423159/18446744073709551616", + "floor_float": 71.11435129530749 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[3/4,1]": { + "floor": "322451135092630767823/18446744073709551616", + "floor_float": 17.480111059392357 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "454506261435408959465/9223372036854775808", + "floor_float": 49.277667605653505 + }, + "r=[95/512,3/16],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1786815967411121346777/18446744073709551616", + "floor_float": 96.8634876849463 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[1,5/4]": { + "floor": "562528867799195113595/9223372036854775808", + "floor_float": 60.98950205536985 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "136086977891543118757/9223372036854775808", + "floor_float": 14.754579707699786 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1274805727252602182751/9223372036854775808", + "floor_float": 138.21471389842347 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[3/4,1]": { + "floor": "156662151819803037211/4611686018427387904", + "floor_float": 33.970689069856874 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "883201166302743660585/9223372036854775808", + "floor_float": 95.7568623247166 + }, + "r=[95/512,3/16],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3473622238296585962533/18446744073709551616", + "floor_float": 188.30543885775595 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[1,5/4]": { + "floor": "764628235843118006729/18446744073709551616", + "floor_float": 41.45057972224336 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "184947602774329305857/18446744073709551616", + "floor_float": 10.026029636195696 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1732572576074101483465/18446744073709551616", + "floor_float": 93.92294754841738 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[3/4,1]": { + "floor": "425851390381472389499/18446744073709551616", + "floor_float": 23.085450130378252 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1200467705769599085357/18446744073709551616", + "floor_float": 65.07748472970444 + }, + "r=[95/512,3/16],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2360155344569466101581/18446744073709551616", + "floor_float": 127.94427759927447 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[1,5/4]": { + "floor": "31035646530413939009/576460752303423488", + "floor_float": 53.838264628427204 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "240275936032309915793/18446744073709551616", + "floor_float": 13.025384592110925 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "4395641245260490545/36028797018963968", + "floor_float": 122.00355296200479 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[3/4,1]": { + "floor": "276577089335215688855/9223372036854775808", + "floor_float": 29.98654811169583 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "779634858809635370633/9223372036854775808", + "floor_float": 84.52818076668362 + }, + "r=[95/512,3/16],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1533033583632403144569/9223372036854775808", + "floor_float": 166.21183418674897 + }, + "r=[95/512,3/16],b=[7/8,1],k=[1,5/4]": { + "floor": "158714785809940395679/2305843009213693952", + "floor_float": 68.83156623228355 + }, + "r=[95/512,3/16],b=[7/8,1],k=[1/2,3/4]": { + "floor": "307137857225493126875/18446744073709551616", + "floor_float": 16.649976602821116 + }, + "r=[95/512,3/16],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2877587113789193001441/18446744073709551616", + "floor_float": 155.99431001432677 + }, + "r=[95/512,3/16],b=[7/8,1],k=[3/4,1]": { + "floor": "707165500216730401893/18446744073709551616", + "floor_float": 38.33551858208888 + }, + "r=[95/512,3/16],b=[7/8,1],k=[5/4,3/2]": { + "floor": "996779104903427417055/9223372036854775808", + "floor_float": 108.07100710244525 + }, + "r=[95/512,3/16],b=[7/8,1],k=[7/4,2]": { + "floor": "3920641478852187965651/18446744073709551616", + "floor_float": 212.53840044541616 + }, + "r=[97/256,195/512],b=[0,1/8],k=[1,5/4]": { + "floor": "378079358129550927071/18446744073709551616", + "floor_float": 20.49572307279921 + }, + "r=[97/256,195/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "87113139109389530529/18446744073709551616", + "floor_float": 4.722412733721605 + }, + "r=[97/256,195/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "858810002066261010359/18446744073709551616", + "floor_float": 46.55618349962604 + }, + "r=[97/256,195/512],b=[0,1/8],k=[3/4,1]": { + "floor": "3249656713282015465/288230376151711744", + "floor_float": 11.274511578791888 + }, + "r=[97/256,195/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "148906323216404014719/4611686018427387904", + "floor_float": 32.28891182561079 + }, + "r=[97/256,195/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1165881314254253833729/18446744073709551616", + "floor_float": 63.20255268873586 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "674920858569301844407/18446744073709551616", + "floor_float": 36.587533055830946 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "155500367122055726573/18446744073709551616", + "floor_float": 8.429691792801316 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "383987890978632312903/4611686018427387904", + "floor_float": 83.26410112143203 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "371057632146154104659/18446744073709551616", + "floor_float": 20.115074544509373 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1064175735776291556255/18446744073709551616", + "floor_float": 57.689082231750774 + }, + "r=[97/256,195/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1043740945708756357831/9223372036854775808", + "floor_float": 113.16262008495086 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "509760060294340460635/18446744073709551616", + "floor_float": 27.634148240873284 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "29363517764679454891/4611686018427387904", + "floor_float": 6.3671979504564336 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "579476573975323746395/9223372036854775808", + "floor_float": 62.82697604085031 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "280323238054006312005/18446744073709551616", + "floor_float": 15.196353184816244 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "803359811319518617321/18446744073709551616", + "floor_float": 43.55022263600835 + }, + "r=[97/256,195/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1574277378845577630977/18446744073709551616", + "floor_float": 85.34174771195804 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "219990727787747790511/9223372036854775808", + "floor_float": 23.85144249941434 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "25344628097754578455/4611686018427387904", + "floor_float": 5.495740168884534 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "999837408771694772851/18446744073709551616", + "floor_float": 54.20129453612744 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "30249116130264116215/2305843009213693952", + "floor_float": 13.118462969679468 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "346627124213200953523/9223372036854775808", + "floor_float": 37.58138811143553 + }, + "r=[97/256,195/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1357748313457290749795/18446744073709551616", + "floor_float": 73.60368355694621 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "439196558718190942575/9223372036854775808", + "floor_float": 47.617786311042 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "50581930142902294297/4611686018427387904", + "floor_float": 10.968207709888938 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2000845433946694030387/18446744073709551616", + "floor_float": 108.46604831463537 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "482784105822209896935/18446744073709551616", + "floor_float": 26.171778818695582 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1385616948708724661419/18446744073709551616", + "floor_float": 75.11444530113675 + }, + "r=[97/256,195/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "680194147199646778583/4611686018427387904", + "floor_float": 147.49359442115642 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "587812723202599714617/18446744073709551616", + "floor_float": 31.865391575543953 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "135442121916173954523/18446744073709551616", + "floor_float": 7.342332141378118 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "668528089777777705767/9223372036854775808", + "floor_float": 72.48196073046509 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "161603005850592474473/9223372036854775808", + "floor_float": 17.521033002340005 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "926593676138477568891/18446744073709551616", + "floor_float": 50.23074383403336 + }, + "r=[97/256,195/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1816677977560660705111/18446744073709551616", + "floor_float": 98.48231049889203 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "385796127609737450973/9223372036854775808", + "floor_float": 41.828099969097224 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "22219253452751548149/2305843009213693952", + "floor_float": 9.63606514579171 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1756786439970471527321/18446744073709551616", + "floor_float": 95.23558374045302 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "212072580098436442803/9223372036854775808", + "floor_float": 22.992955206733093 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "608449297188072590769/9223372036854775808", + "floor_float": 65.96820498585866 + }, + "r=[97/256,195/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "2388254726144196335255/18446744073709551616", + "floor_float": 129.46754812671554 + }, + "r=[97/256,195/512],b=[7/8,1],k=[1,5/4]": { + "floor": "249002517779172862243/4611686018427387904", + "floor_float": 53.99381414610793 + }, + "r=[97/256,195/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "229373425292005573885/18446744073709551616", + "floor_float": 12.4343583006017 + }, + "r=[97/256,195/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2269852632009132484997/18446744073709551616", + "floor_float": 123.04895774231208 + }, + "r=[97/256,195/512],b=[7/8,1],k=[3/4,1]": { + "floor": "547347470209898770063/18446744073709551616", + "floor_float": 29.67176581530086 + }, + "r=[97/256,195/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1571471116862924714577/18446744073709551616", + "floor_float": 85.18961994505025 + }, + "r=[97/256,195/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3087398429458424567841/18446744073709551616", + "floor_float": 167.36820422735792 + }, + "r=[97/512,49/256],b=[0,1/8],k=[1,5/4]": { + "floor": "498575925046414685649/18446744073709551616", + "floor_float": 27.02785505421464 + }, + "r=[97/512,49/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "60197372768572956563/9223372036854775808", + "floor_float": 6.526612233360654 + }, + "r=[97/512,49/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "141222295130662983749/2305843009213693952", + "floor_float": 61.24540767362155 + }, + "r=[97/512,49/256],b=[0,1/8],k=[3/4,1]": { + "floor": "17348067703495333021/1152921504606846976", + "floor_float": 15.047050154044205 + }, + "r=[97/512,49/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "782841634322390564473/18446744073709551616", + "floor_float": 42.437930032221935 + }, + "r=[97/512,49/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1538806466258219789579/18446744073709551616", + "floor_float": 83.4188656875952 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "217473017124162404187/4611686018427387904", + "floor_float": 47.15694352459884 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "52564650132199602931/4611686018427387904", + "floor_float": 11.398141573854254 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1971555189633248474151/18446744073709551616", + "floor_float": 106.87822098877193 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "484365677390840914827/18446744073709551616", + "floor_float": 26.257515985228135 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "341480689169004389251/4611686018427387904", + "floor_float": 74.04682101177636 + }, + "r=[97/512,49/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "671473235383205227411/4611686018427387904", + "floor_float": 145.60254811366832 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "664203861334345565197/18446744073709551616", + "floor_float": 36.00656347159791 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "160482390960505357891/18446744073709551616", + "floor_float": 8.6997678462524 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1505242639043051102769/18446744073709551616", + "floor_float": 81.5993669684145 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "184904987208846800013/9223372036854775808", + "floor_float": 20.04743888352361 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1042925810660416379069/18446744073709551616", + "floor_float": 56.53712148296147 + }, + "r=[97/512,49/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1025213418845188669705/9223372036854775808", + "floor_float": 111.1538615973245 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "576672948040301917191/18446744073709551616", + "floor_float": 31.26150315394579 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "139303033897969897631/18446744073709551616", + "floor_float": 7.551632599300041 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1306783996835834446669/18446744073709551616", + "floor_float": 70.84090241693511 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "321065991307964750055/18446744073709551616", + "floor_float": 17.405022264365375 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "226366119909309862511/4611686018427387904", + "floor_float": 49.08532779655759 + }, + "r=[97/512,49/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1779980611991252892093/18446744073709551616", + "floor_float": 96.4929423251497 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "560475493770517388649/9223372036854775808", + "floor_float": 60.76687479708808 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "270945047065775577181/18446744073709551616", + "floor_float": 14.687960432645056 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1270401276029994935447/9223372036854775808", + "floor_float": 137.73718234000776 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "624194974082286123715/18446744073709551616", + "floor_float": 33.837677347727386 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "27502897114771407081/288230376151711744", + "floor_float": 95.41984256473751 + }, + "r=[97/512,49/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3461715400732526751199/18446744073709551616", + "floor_float": 187.6599679000367 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "380838149912385180277/9223372036854775808", + "floor_float": 41.29055495003682 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "184068545676001624113/18446744073709551616", + "floor_float": 9.978375855408414 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "215776811572961424989/2305843009213693952", + "floor_float": 93.57827515176004 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "212046633521542965353/9223372036854775808", + "floor_float": 22.990142073229446 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "597994329040288918779/9223372036854775808", + "floor_float": 64.83467506794928 + }, + "r=[97/512,49/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2351548672705073213073/18446744073709551616", + "floor_float": 127.47770898261224 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "247362438178209787747/4611686018427387904", + "floor_float": 53.63817857282527 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "239175621941672021935/18446744073709551616", + "floor_float": 12.965736445736624 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "560659823929835590571/4611686018427387904", + "floor_float": 121.57371982601363 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "550951636329871338603/18446744073709551616", + "floor_float": 29.867148052164502 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "776838787800285318269/9223372036854775808", + "floor_float": 84.22503014040751 + }, + "r=[97/512,49/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "763836057007001846699/4611686018427387904", + "floor_float": 165.6305424859506 + }, + "r=[97/512,49/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1265165478298345506559/18446744073709551616", + "floor_float": 68.58475800623643 + }, + "r=[97/512,49/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "76442440308683047177/4611686018427387904", + "floor_float": 16.57581197055353 + }, + "r=[97/512,49/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "2867836711446835784663/18446744073709551616", + "floor_float": 155.4657396442172 + }, + "r=[97/512,49/256],b=[7/8,1],k=[3/4,1]": { + "floor": "352225532438411140141/9223372036854775808", + "floor_float": 38.18836874745889 + }, + "r=[97/512,49/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1986672218853585804387/18446744073709551616", + "floor_float": 107.69771678488276 + }, + "r=[97/512,49/256],b=[7/8,1],k=[7/4,2]": { + "floor": "3907472141171873401597/18446744073709551616", + "floor_float": 211.82448921925655 + }, + "r=[99/256,199/512],b=[0,1/8],k=[1,5/4]": { + "floor": "186210638569094955015/9223372036854775808", + "floor_float": 20.188997887652583 + }, + "r=[99/256,199/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "21409548112772206419/4611686018427387904", + "floor_float": 4.642455715160112 + }, + "r=[99/256,199/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "422842914398280671819/9223372036854775808", + "floor_float": 45.84472064107181 + }, + "r=[99/256,199/512],b=[0,1/8],k=[3/4,1]": { + "floor": "51197658850657497983/4611686018427387904", + "floor_float": 11.101722590410915 + }, + "r=[99/256,199/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "586666375156372936831/18446744073709551616", + "floor_float": 31.803247923436775 + }, + "r=[99/256,199/512],b=[0,1/8],k=[7/4,2]": { + "floor": "286912254674367726525/4611686018427387904", + "floor_float": 62.214177966132766 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "332842884531193446677/9223372036854775808", + "floor_float": 36.08689785050618 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "19130383939744876103/2305843009213693952", + "floor_float": 8.296481531181279 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "757311499099743978435/9223372036854775808", + "floor_float": 82.10787725721966 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "182899846763358392083/9223372036854775808", + "floor_float": 19.830041120809902 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "524809814682075693753/9223372036854775808", + "floor_float": 56.89999412200215 + }, + "r=[99/256,199/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1028921618993266443645/9223372036854775808", + "floor_float": 111.55590546298019 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "502451250270715541959/18446744073709551616", + "floor_float": 27.237936855578383 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "115538212714989593767/18446744073709551616", + "floor_float": 6.263339061534203 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1142111287426947125829/18446744073709551616", + "floor_float": 61.91397695242562 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "69048273688674110833/4611686018427387904", + "floor_float": 14.972457667926832 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "791861121691393587831/18446744073709551616", + "floor_float": 42.926877422230866 + }, + "r=[99/256,199/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1550813551827526316017/18446744073709551616", + "floor_float": 84.06977110056827 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "433535400692830092769/18446744073709551616", + "floor_float": 23.502001164027003 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "49847309467440206903/9223372036854775808", + "floor_float": 5.404456121715593 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "492476112067621865515/9223372036854775808", + "floor_float": 53.39436706009304 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "119178725599566890865/9223372036854775808", + "floor_float": 12.921383320910422 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "170768908005182696457/4611686018427387904", + "floor_float": 37.02960421043927 + }, + "r=[99/256,199/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "334256326786678324361/4611686018427387904", + "floor_float": 72.48028713382827 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "108356070853833189671/2305843009213693952", + "floor_float": 46.99195496868768 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "12451804874730720495/1152921504606846976", + "floor_float": 10.800219117238914 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "246791003854711994419/2305843009213693952", + "floor_float": 107.02853701166289 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "476203609277802374787/18446744073709551616", + "floor_float": 25.81504938622158 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "683732984233824252837/9223372036854775808", + "floor_float": 74.13047869063094 + }, + "r=[99/256,199/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "335500058822805861621/2305843009213693952", + "floor_float": 145.49995705788027 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "579589559667287691091/18446744073709551616", + "floor_float": 31.419612987059512 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "65072586527866555/9007199254740992", + "floor_float": 7.224508383515022 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "329516181984628226795/4611686018427387904", + "floor_float": 71.45243207537256 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "318534056086457584287/18446744073709551616", + "floor_float": 17.267765780977843 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "913636883092570416709/18446744073709551616", + "floor_float": 49.52835467559248 + }, + "r=[99/256,199/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1790228473643366717415/18446744073709551616", + "floor_float": 97.04848001847733 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "190312384178131675507/4611686018427387904", + "floor_float": 41.26742007536526 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "174988340428012842545/18446744073709551616", + "floor_float": 9.486136942584228 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "216617171858883606411/2305843009213693952", + "floor_float": 93.942723330827 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "209128159545923574625/9223372036854775808", + "floor_float": 22.67372049075855 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1200603570227769837769/18446744073709551616", + "floor_float": 65.08484995674004 + }, + "r=[99/256,199/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "147199711871516187743/1152921504606846976", + "floor_float": 127.67539792027051 + }, + "r=[99/256,199/512],b=[7/8,1],k=[1,5/4]": { + "floor": "983168646076140686909/18446744073709551616", + "floor_float": 53.29767909976919 + }, + "r=[99/256,199/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "225914226648923123053/18446744073709551616", + "floor_float": 12.246834766407254 + }, + "r=[99/256,199/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "560112810424856637007/4611686018427387904", + "floor_float": 121.4551051799182 + }, + "r=[99/256,199/512],b=[7/8,1],k=[3/4,1]": { + "floor": "540015851988035116477/18446744073709551616", + "floor_float": 29.274317995101914 + }, + "r=[99/256,199/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "775664123889780149149/9223372036854775808", + "floor_float": 84.09767282403651 + }, + "r=[99/256,199/512],b=[7/8,1],k=[7/4,2]": { + "floor": "3046592723771860494445/18446744073709551616", + "floor_float": 165.15612248959908 + }, + "r=[99/512,25/128],b=[0,1/8],k=[1,5/4]": { + "floor": "62061986122001889243/2305843009213693952", + "floor_float": 26.91509607289587 + }, + "r=[99/512,25/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "119786137968547001357/18446744073709551616", + "floor_float": 6.4936195509573515 + }, + "r=[99/512,25/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "281316997158579717825/4611686018427387904", + "floor_float": 61.000899895286125 + }, + "r=[99/512,25/128],b=[0,1/8],k=[3/4,1]": { + "floor": "276337199654000422403/18446744073709551616", + "floor_float": 14.980269610171392 + }, + "r=[99/512,25/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "779673473586532334293/18446744073709551616", + "floor_float": 42.266183694591895 + }, + "r=[99/512,25/128],b=[0,1/8],k=[7/4,2]": { + "floor": "766343515446109307901/9223372036854775808", + "floor_float": 83.08713043168504 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "216638135985743044847/4611686018427387904", + "floor_float": 46.97590753579055 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "104632116835937076173/9223372036854775808", + "floor_float": 11.34423683852801 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "491089601166370666043/4611686018427387904", + "floor_float": 106.4880824939238 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "30148573871148216721/1152921504606846976", + "floor_float": 26.14971943075089 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1360854008027546444847/18446744073709551616", + "floor_float": 73.7720435969536 + }, + "r=[99/512,25/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "334518576894080512437/2305843009213693952", + "floor_float": 145.07430712212854 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "661552878191996373969/18446744073709551616", + "floor_float": 35.86285338749004 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "79848209821075865739/9223372036854775808", + "floor_float": 8.657160255708884 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "93719780260148784285/1152921504606846976", + "floor_float": 81.28895149033393 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "184116640543304022709/9223372036854775808", + "floor_float": 19.961966166778293 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "519448797913005436883/9223372036854775808", + "floor_float": 56.318751519226424 + }, + "r=[99/512,25/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2042666135479934745575/18446744073709551616", + "floor_float": 110.73315308749575 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "574315746319133910649/18446744073709551616", + "floor_float": 31.13371899259194 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "69305674448794767141/9223372036854775808", + "floor_float": 7.51413628029564 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "162711106805708879393/2305843009213693952", + "floor_float": 70.5646941945082 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "79917038599478449885/4611686018427387904", + "floor_float": 17.32924537363249 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "901877249003003212645/18446744073709551616", + "floor_float": 48.890863634215314 + }, + "r=[99/512,25/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1773085754803433123717/18446744073709551616", + "floor_float": 96.11917136804914 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "558401355849337794091/9223372036854775808", + "floor_float": 60.54199631307033 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "269706880002577937343/18446744073709551616", + "floor_float": 14.620839261654112 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "158243165845374767891/1152921504606846976", + "floor_float": 137.25406735243143 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "155429774490076307971/4611686018427387904", + "floor_float": 33.703459834214556 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1753900370262855404421/18446744073709551616", + "floor_float": 95.07912958810593 + }, + "r=[99/512,25/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "431207693007293723199/2305843009213693952", + "floor_float": 187.00652702038812 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "94836955372952382249/2305843009213693952", + "floor_float": 41.128973218906324 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "183184106958169373543/18446744073709551616", + "floor_float": 9.930430336443212 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1719781796498823623659/18446744073709551616", + "floor_float": 93.22955799825242 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "211160514786160122333/9223372036854775808", + "floor_float": 22.894068887431228 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "148932627167453259465/2305843009213693952", + "floor_float": 64.58923117157059 + }, + "r=[99/512,25/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2342834114265000763745/18446744073709551616", + "floor_float": 127.00529182296331 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "492860658149898112057/9223372036854775808", + "floor_float": 53.43605962987551 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "238067002938610257841/18446744073709551616", + "floor_float": 12.90563808915771 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2234616999592194724983/18446744073709551616", + "floor_float": 121.13883028154486 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "137182258727274475917/4611686018427387904", + "floor_float": 29.74666058771591 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1548023811212146159903/18446744073709551616", + "floor_float": 83.91853895877496 + }, + "r=[99/512,25/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "190280501531719495973/1152921504606846976", + "floor_float": 165.0420265138573 + }, + "r=[99/512,25/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1260566831144211085525/18446744073709551616", + "floor_float": 68.33546484448608 + }, + "r=[99/512,25/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "76097840432483998325/4611686018427387904", + "floor_float": 16.50108878367088 + }, + "r=[99/512,25/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1428993891262634437159/9223372036854775808", + "floor_float": 154.9318281375463 + }, + "r=[99/512,25/128],b=[7/8,1],k=[3/4,1]": { + "floor": "87714038812268571925/2305843009213693952", + "floor_float": 38.03990057509578 + }, + "r=[99/512,25/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "494928455388106295723/4611686018427387904", + "floor_float": 107.32050131133599 + }, + "r=[99/512,25/128],b=[7/8,1],k=[7/4,2]": { + "floor": "3894166707460759343191/18446744073709551616", + "floor_float": 211.10320021248396 + } + }, + "torus_epsilon0": 4.4069619526157966e-17, + "torus_epsilon_at_rmax": 4.933913634620493e-15, + "z_star": "64645771091048139547/18446744073709551616", + "z_star_decimal": "3.5044542729" + }, + "low": { + "L_min": 12, + "argmin": "r=[63/512,1/8],b=[0,1/8],k=[1/2,3/4]", + "float_controls": { + "r=[1/64,9/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.89080020752877, + "r": 0.015625, + "se": 0.24296937243266353, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.85070714739726, + "r": 0.017578125, + "se": 0.09931355739987809, + "z0": 9.000000000000002 + } + }, + "r=[1/64,9/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 162.76954719690232, + "r": 0.015625, + "se": 1.72779649562675, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 108.41638730113634, + "r": 0.017578125, + "se": 1.2166285917278523, + "z0": 110.25000000000003 + } + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 153.6228991800163, + "r": 0.015625, + "se": 1.3240146332449338, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 94.3025428160456, + "r": 0.017578125, + "se": 0.8545391020776022, + "z0": 95.67397807218536 + } + }, + "r=[1/64,9/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 54.428593728863625, + "r": 0.015625, + "se": 0.40655543387750714, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.61723305585092, + "r": 0.017578125, + "se": 0.16916139477575426, + "z0": 21.887680211082625 + } + }, + "r=[1/64,9/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 387.0269328677173, + "r": 0.015625, + "se": 2.890931107018275, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 264.79909874195624, + "r": 0.017578125, + "se": 2.0721715455226213, + "z0": 268.12408258576215 + } + }, + "r=[11/256,23/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.866226763751037, + "r": 0.04296875, + "se": 0.2428141656518925, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.837448774584635, + "r": 0.044921875, + "se": 0.09921515219787456, + "z0": 9.000000000000002 + } + }, + "r=[11/256,23/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 162.60182741019673, + "r": 0.04296875, + "se": 1.7266578398959997, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 108.26354666889058, + "r": 0.044921875, + "se": 1.2154096507480732, + "z0": 110.25000000000003 + } + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 153.49580805606874, + "r": 0.04296875, + "se": 1.323243546069166, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 94.1912787153533, + "r": 0.044921875, + "se": 0.8537670941259528, + "z0": 95.67397807218536 + } + }, + "r=[11/256,23/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 54.38792367706166, + "r": 0.04296875, + "se": 0.4063182262908759, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.593174296323188, + "r": 0.044921875, + "se": 0.16900916121072715, + "z0": 21.887680211082625 + } + }, + "r=[11/256,23/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 386.75134310177447, + "r": 0.04296875, + "se": 2.8893481610333134, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 264.52067942049456, + "r": 0.044921875, + "se": 2.0703868165854846, + "z0": 268.12408258576215 + } + }, + "r=[25/256,51/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.715328106838285, + "r": 0.09765625, + "se": 0.24158379175237965, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.773898304030167, + "r": 0.099609375, + "se": 0.09867942801236156, + "z0": 9.000000000000002 + } + }, + "r=[25/256,51/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 161.46013456712143, + "r": 0.09765625, + "se": 1.7174484772040626, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 107.46223131206618, + "r": 0.099609375, + "se": 1.2086446172393335, + "z0": 110.25000000000003 + } + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 152.59802731140215, + "r": 0.09765625, + "se": 1.3169549777835532, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 93.61122173219626, + "r": 0.099609375, + "se": 0.8495496229333558, + "z0": 95.67397807218536 + } + }, + "r=[25/256,51/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 54.11175119696064, + "r": 0.09765625, + "se": 0.4045358811649653, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.47508696649845, + "r": 0.099609375, + "se": 0.1682272901080993, + "z0": 21.887680211082625 + } + }, + "r=[25/256,51/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 384.6465129847817, + "r": 0.09765625, + "se": 2.8760797088580357, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 263.01088227896616, + "r": 0.099609375, + "se": 2.0605301745007996, + "z0": 268.12408258576215 + } + }, + "r=[31/512,1/16],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.83081455894174, + "r": 0.060546875, + "se": 0.24252633890532518, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.822271142049319, + "r": 0.0625, + "se": 0.09908845641157804, + "z0": 9.000000000000002 + } + }, + "r=[31/512,1/16],b=[0,1/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 1.5, + "mc": 91.3211593132396, + "r": 0.060546875, + "se": 0.9700857278402479, + "z0": 93.07252185164437 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.25, + "mc": 55.144235777073085, + "r": 0.0625, + "se": 0.6193243705442092, + "z0": 56.250000000000014 + } + }, + "r=[31/512,1/16],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 162.34050207689813, + "r": 0.060546875, + "se": 1.724542949522135, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 108.07726977879, + "r": 0.0625, + "se": 1.2138369716256594, + "z0": 110.25000000000003 + } + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.625, + "k": 0.75, + "mc": 38.32336297975314, + "r": 0.060546875, + "se": 0.33045314409448046, + "z0": 38.94652751322248 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 0.5, + "mc": 15.04806012033555, + "r": 0.0625, + "se": 0.13644140875177224, + "z0": 15.307836491549658 + } + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 153.2889255841199, + "r": 0.060546875, + "se": 1.321787261218182, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 94.05550251753009, + "r": 0.0625, + "se": 0.852778246572328, + "z0": 95.67397807218536 + } + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 2.0, + "mc": 272.50100203362257, + "r": 0.060546875, + "se": 2.349779260290462, + "z0": 276.95308453847093 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.75, + "mc": 184.3400749465856, + "r": 0.0625, + "se": 1.67139728782274, + "z0": 187.5209970214833 + } + }, + "r=[31/512,1/16],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 54.32332647614893, + "r": 0.060546875, + "se": 0.4059005640196006, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.565062848324345, + "r": 0.0625, + "se": 0.1688235602388552, + "z0": 21.887680211082625 + } + }, + "r=[31/512,1/16],b=[7/8,1],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 1.5, + "mc": 217.28696714163056, + "r": 0.060546875, + "se": 1.6235791802374973, + "z0": 220.3314296011707 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.25, + "mc": 134.78719135253846, + "r": 0.0625, + "se": 1.0551741850137963, + "z0": 136.7980013192664 + } + }, + "r=[31/512,1/16],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 386.27145236569095, + "r": 0.060546875, + "se": 2.8862926109636433, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 264.1712642715338, + "r": 0.0625, + "se": 2.0680887362007816, + "z0": 268.12408258576215 + } + }, + "r=[63/512,1/8],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.603927152307495, + "r": 0.123046875, + "se": 0.24067240274399979, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.727955089865297, + "r": 0.125, + "se": 0.09828904816281911, + "z0": 9.000000000000002 + } + }, + "r=[63/512,1/8],b=[0,1/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 1.5, + "mc": 90.37085670891213, + "r": 0.123046875, + "se": 0.9623836028432666, + "z0": 93.07252185164437 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.25, + "mc": 54.54565952163892, + "r": 0.125, + "se": 0.6142404324007358, + "z0": 56.250000000000014 + } + }, + "r=[63/512,1/8],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 160.583335374811, + "r": 0.123046875, + "se": 1.7104149095100396, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 106.85795255812845, + "r": 0.125, + "se": 1.2035565251957236, + "z0": 110.25000000000003 + } + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.625, + "k": 0.75, + "mc": 37.99692147087309, + "r": 0.123046875, + "se": 0.32814679961758225, + "z0": 38.94652751322248 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 0.5, + "mc": 14.911058477256164, + "r": 0.125, + "se": 0.1354439951124798, + "z0": 15.307836491549658 + } + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 151.91553293917536, + "r": 0.123046875, + "se": 1.3122147451843102, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 93.17843850726962, + "r": 0.125, + "se": 0.8464189118264294, + "z0": 95.67397807218536 + } + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 2.0, + "mc": 269.9574068263595, + "r": 0.123046875, + "se": 2.332240993978599, + "z0": 276.95308453847093 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.75, + "mc": 182.5498146306353, + "r": 0.125, + "se": 1.6585476704516051, + "z0": 187.5209970214833 + } + }, + "r=[63/512,1/8],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 53.90670456461589, + "r": 0.123046875, + "se": 0.4032178626143752, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.389235216269658, + "r": 0.125, + "se": 0.16765816552583304, + "z0": 21.887680211082625 + } + }, + "r=[63/512,1/8],b=[7/8,1],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 1.5, + "mc": 215.53211144186182, + "r": 0.123046875, + "se": 1.6124785177049856, + "z0": 220.3314296011707 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.25, + "mc": 133.6580933893668, + "r": 0.125, + "se": 1.0477652355067035, + "z0": 136.7980013192664 + } + }, + "r=[63/512,1/8],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 383.0194949863146, + "r": 0.123046875, + "se": 2.865986041852349, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 261.864545705228, + "r": 0.125, + "se": 2.053139588837173, + "z0": 268.12408258576215 + } + }, + "r=[9/128,37/512],b=[0,1/8],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 0.125, + "k": 0.75, + "mc": 22.805812662780834, + "r": 0.0703125, + "se": 0.24232265992608917, + "z0": 23.268130462911092 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 0.5, + "mc": 8.811711014038178, + "r": 0.072265625, + "se": 0.09899925019435951, + "z0": 9.000000000000002 + } + }, + "r=[9/128,37/512],b=[0,1/8],k=[7/4,2]": { + "r0,b1,k1": { + "b": 0.125, + "k": 2.0, + "mc": 162.15310540865917, + "r": 0.0703125, + "se": 1.723029317907218, + "z0": 165.46226106959 + }, + "r1,b0,k0": { + "b": 0.0, + "k": 1.75, + "mc": 107.94526844497912, + "r": 0.072265625, + "se": 1.2127202584913603, + "z0": 110.25000000000003 + } + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[5/4,3/2]": { + "r0,b1,k1": { + "b": 0.625, + "k": 1.5, + "mc": 153.14119938381506, + "r": 0.0703125, + "se": 1.3207505131469477, + "z0": 155.7861100528899 + }, + "r1,b0,k0": { + "b": 0.5, + "k": 1.25, + "mc": 93.95969696949395, + "r": 0.072265625, + "se": 0.8520801613332801, + "z0": 95.67397807218536 + } + }, + "r=[9/128,37/512],b=[7/8,1],k=[1/2,3/4]": { + "r0,b1,k1": { + "b": 1.0, + "k": 0.75, + "mc": 54.277637171357355, + "r": 0.0703125, + "se": 0.40560541450637744, + "z0": 55.082857400292674 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 0.5, + "mc": 21.54546190641086, + "r": 0.072265625, + "se": 0.16869360822470006, + "z0": 21.887680211082625 + } + }, + "r=[9/128,37/512],b=[7/8,1],k=[7/4,2]": { + "r0,b1,k1": { + "b": 1.0, + "k": 2.0, + "mc": 385.9265083653708, + "r": 0.0703125, + "se": 2.8841098603408692, + "z0": 391.7003192909701 + }, + "r1,b0,k0": { + "b": 0.875, + "k": 1.75, + "mc": 263.92288391456185, + "r": 0.072265625, + "se": 2.0664614515266706, + "z0": 268.12408258576215 + } + } + }, + "r_range": [ + "1/64", + "1/8" + ], + "r_steps": 56, + "statement": "For d = 2, every frame, every torus side L >= 12, every r in [1/64, 1/8], b in [0, 1], k in [1/2, 2]: Z_r / r^2 >= z_star.", + "table": { + "r=[1/16,33/512],b=[0,1/8],k=[1,5/4]": { + "floor": "554726227504287675667/18446744073709551616", + "floor_float": 30.071769049741842 + }, + "r=[1/16,33/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "68792765513397497617/9223372036854775808", + "floor_float": 7.458526582091145 + }, + "r=[1/16,33/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "39011468299551414647/576460752303423488", + "floor_float": 67.67410989155685 + }, + "r=[1/16,33/512],b=[0,1/8],k=[3/4,1]": { + "floor": "311406431345540538637/18446744073709551616", + "floor_float": 16.881376469539656 + }, + "r=[1/16,33/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "216792566575749704547/4611686018427387904", + "floor_float": 47.009394332027234 + }, + "r=[1/16,33/512],b=[0,1/8],k=[7/4,2]": { + "floor": "848973297588192762329/9223372036854775808", + "floor_float": 92.04586936273013 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "468887859965167953/9007199254740992", + "floor_float": 52.05700981005456 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "238176843591825357775/18446744073709551616", + "floor_float": 12.911592562899862 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2161575283013959703931/18446744073709551616", + "floor_float": 117.17923089173522 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "134760962581373759125/4611686018427387904", + "floor_float": 29.22162567939264 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "375329060548720469491/4611686018427387904", + "floor_float": 81.38651656877323 + }, + "r=[1/16,33/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2940485547810986746597/18446744073709551616", + "floor_float": 159.40404095494503 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "736001232907161627881/18446744073709551616", + "floor_float": 39.898706783497715 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "182556851488876785247/18446744073709551616", + "floor_float": 9.89642674931769 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1656494481162762104849/18446744073709551616", + "floor_float": 89.79874575934576 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "206583383441488972177/9223372036854775808", + "floor_float": 22.397815312666832 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1150598519193316996431/18446744073709551616", + "floor_float": 62.374070708399934 + }, + "r=[1/16,33/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "281653391038785401049/2305843009213693952", + "floor_float": 122.14768738086417 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "640318199010681469437/18446744073709551616", + "floor_float": 34.71171912246932 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "79411420133339029683/9223372036854775808", + "floor_float": 8.609803422872531 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1441066785381127391079/18446744073709551616", + "floor_float": 78.12038697034602 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "179727396608025347741/9223372036854775808", + "floor_float": 19.486083385758498 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1000994316768212879941/18446744073709551616", + "floor_float": 54.264010644286984 + }, + "r=[1/16,33/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "490030413496412627617/4611686018427387904", + "floor_float": 106.25840777935612 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1233143631466787216943/18446744073709551616", + "floor_float": 66.84885021114775 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "152921320975781513583/9223372036854775808", + "floor_float": 16.579762842129547 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1388066147371399329923/9223372036854775808", + "floor_float": 150.49443325336554 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "173046114278744663411/4611686018427387904", + "floor_float": 37.523394608237965 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "482005699796225876367/4611686018427387904", + "floor_float": 104.5183253738928 + }, + "r=[1/16,33/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3776782259428017958739/18446744073709551616", + "floor_float": 204.73977653382846 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "842394563731961518283/18446744073709551616", + "floor_float": 45.66630080440857 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "208939770346481309707/18446744073709551616", + "floor_float": 11.326647646413871 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "948036315865825622063/9223372036854775808", + "floor_float": 102.78630332568821 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "59109660069207636977/2305843009213693952", + "floor_float": 25.634728744765837 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "41155209616611713351/576460752303423488", + "floor_float": 71.39290828068279 + }, + "r=[1/16,33/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "644801801717963171875/4611686018427387904", + "floor_float": 139.81910284903663 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1090300614695714644245/18446744073709551616", + "floor_float": 59.10531475576874 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "16901214902264023397/1152921504606846976", + "floor_float": 14.659467131743229 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "613599978838592397287/4611686018427387904", + "floor_float": 133.0532860187723 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "306007927208386041139/9223372036854775808", + "floor_float": 33.177445947711824 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1704638191319047220205/18446744073709551616", + "floor_float": 92.4086215164936 + }, + "r=[1/16,33/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "834740138116927645853/4611686018427387904", + "floor_float": 181.00541424144458 + }, + "r=[1/16,33/512],b=[7/8,1],k=[1,5/4]": { + "floor": "86844364601942584435/1152921504606846976", + "floor_float": 75.32547901563952 + }, + "r=[1/16,33/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "172308476914678509635/9223372036854775808", + "floor_float": 18.68172250085628 + }, + "r=[1/16,33/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3128333082495750161647/18446744073709551616", + "floor_float": 169.58727621500836 + }, + "r=[1/16,33/512],b=[7/8,1],k=[3/4,1]": { + "floor": "779940193585028557591/18446744073709551616", + "floor_float": 42.28064261468264 + }, + "r=[1/16,33/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "543139952805842483521/4611686018427387904", + "floor_float": 117.77470335915375 + }, + "r=[1/16,33/512],b=[7/8,1],k=[7/4,2]": { + "floor": "532010656471550241421/2305843009213693952", + "floor_float": 230.72284381275767 + }, + "r=[1/32,17/512],b=[0,1/8],k=[1,5/4]": { + "floor": "565062254084952031449/18446744073709551616", + "floor_float": 30.632086173423055 + }, + "r=[1/32,17/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "140952011159025883445/18446744073709551616", + "floor_float": 7.641023835740846 + }, + "r=[1/32,17/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "158670966314299189385/2305843009213693952", + "floor_float": 68.81256255533499 + }, + "r=[1/32,17/512],b=[0,1/8],k=[3/4,1]": { + "floor": "79450001901312521681/4611686018427387904", + "floor_float": 17.2279729330761 + }, + "r=[1/32,17/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "441186403481669710485/9223372036854775808", + "floor_float": 47.833525712589264 + }, + "r=[1/32,17/512],b=[0,1/8],k=[7/4,2]": { + "floor": "431421174130087156379/4611686018427387904", + "floor_float": 93.54955484961752 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "488517618869078225253/9223372036854775808", + "floor_float": 52.96518636753002 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "60916930368299970877/4611686018427387904", + "floor_float": 13.209253649291806 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2195538275722336129775/18446744073709551616", + "floor_float": 119.02036841566176 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "34339342738414969931/1152921504606846976", + "floor_float": 29.784631998971072 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1525923991833929032263/18446744073709551616", + "floor_float": 82.72050534970495 + }, + "r=[1/32,17/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2985322717655067542439/18446744073709551616", + "floor_float": 161.83466880259772 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "187315356616615183665/4611686018427387904", + "floor_float": 40.61754331672624 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "186882286218239906209/18446744073709551616", + "floor_float": 10.130909035843677 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1683427428754630225929/18446744073709551616", + "floor_float": 91.25878377387284 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "105342562529222140841/4611686018427387904", + "floor_float": 22.84252702987455 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "585049323397200438691/9223372036854775808", + "floor_float": 63.431174743841915 + }, + "r=[1/32,17/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1144395972992131188113/9223372036854775808", + "floor_float": 124.07566001017312 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "40753575609516069707/1152921504606846976", + "floor_float": 35.34809216991167 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "81323450329771037633/9223372036854775808", + "floor_float": 8.817106152155477 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "732456989466043689725/9223372036854775808", + "floor_float": 79.41314592312769 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "183358693802410532925/9223372036854775808", + "floor_float": 19.87978941646779 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1018258397613730029395/18446744073709551616", + "floor_float": 55.199898342220735 + }, + "r=[1/32,17/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1991618536714406364973/18446744073709551616", + "floor_float": 107.96585721340804 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1254012308368604155991/18446744073709551616", + "floor_float": 67.98014345284015 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "78177807970043316963/4611686018427387904", + "floor_float": 16.95210984825511 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "352296369947075090521/2305843009213693952", + "floor_float": 152.7841958621503 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "352570581354909402687/9223372036854775808", + "floor_float": 38.225779025947006 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1958646674368566030257/18446744073709551616", + "floor_float": 106.17844897409539 + }, + "r=[1/32,17/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3832514646365153118487/18446744073709551616", + "floor_float": 207.7610352835807 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "857303698676565346587/18446744073709551616", + "floor_float": 46.474526629249524 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "53454663111228086015/4611686018427387904", + "floor_float": 11.59113237493485 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "481582821335760599935/4611686018427387904", + "floor_float": 104.42662822478603 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "482114989101904215089/18446744073709551616", + "floor_float": 26.135505928605493 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1338877263806275119795/18446744073709551616", + "floor_float": 72.58068190551056 + }, + "r=[1/32,17/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2619163613300867049159/18446744073709551616", + "floor_float": 141.98514398178918 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "554510792422447716895/9223372036854775808", + "floor_float": 60.12018058110764 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "138284987794654900201/9223372036854775808", + "floor_float": 14.992888418909631 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1246157818056848545021/9223372036854775808", + "floor_float": 135.1087013597031 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "155907938904881721563/4611686018427387904", + "floor_float": 33.80714521368201 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1732120971750513170261/18446744073709551616", + "floor_float": 93.89846602898047 + }, + "r=[1/32,17/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1694496776023204477597/9223372036854775808", + "floor_float": 183.71770858340415 + }, + "r=[1/32,17/512],b=[7/8,1],k=[1,5/4]": { + "floor": "353173788630217388083/4611686018427387904", + "floor_float": 76.58235777956361 + }, + "r=[1/32,17/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "352263731801407651105/18446744073709551616", + "floor_float": 19.09625516534686 + }, + "r=[1/32,17/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "793808628427375498921/4611686018427387904", + "floor_float": 172.12980789573982 + }, + "r=[1/32,17/512],b=[7/8,1],k=[3/4,1]": { + "floor": "397172946796500603347/9223372036854775808", + "floor_float": 43.061577176923564 + }, + "r=[1/32,17/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2206570065477820831419/18446744073709551616", + "floor_float": 119.61840293662675 + }, + "r=[1/32,17/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1079488828719956402103/4611686018427387904", + "floor_float": 234.07682665440186 + }, + "r=[1/64,9/512],b=[0,1/8],k=[1,5/4]": { + "floor": "569711274522465088087/18446744073709551616", + "floor_float": 30.884110076337112 + }, + "r=[1/64,9/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "17811954992943777957/2305843009213693952", + "floor_float": 7.724704119825469 + }, + "r=[1/64,9/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "639353619185760958519/9223372036854775808", + "floor_float": 69.3188582907672 + }, + "r=[1/64,9/512],b=[0,1/8],k=[3/4,1]": { + "floor": "320698661801094076239/18446744073709551616", + "floor_float": 17.385109291897013 + }, + "r=[1/64,9/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "444584296902564961341/9223372036854775808", + "floor_float": 48.201926055470146 + }, + "r=[1/64,9/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1737965010901016862399/18446744073709551616", + "floor_float": 94.21527202613379 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "123075490646738668425/2305843009213693952", + "floor_float": 53.37548573556538 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "246194442568100253275/18446744073709551616", + "floor_float": 13.346227474309602 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1105359161848370083519/9223372036854775808", + "floor_float": 119.84328046527591 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "554157131193901522127/18446744073709551616", + "floor_float": 30.040918276938136 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "768488176183516318651/9223372036854775808", + "floor_float": 83.31965501475915 + }, + "r=[1/64,9/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "3005275415514543827553/18446744073709551616", + "floor_float": 162.91630672090727 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "188809054534873747739/4611686018427387904", + "floor_float": 40.94143742232884 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "94435336810406121927/9223372036854775808", + "floor_float": 10.238699732924264 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "211927879917316850253/2305843009213693952", + "floor_float": 91.90906712664082 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "425098286048879761483/18446744073709551616", + "floor_float": 23.044624262702992 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "589414498052235907247/9223372036854775808", + "floor_float": 63.90444792826873 + }, + "r=[1/64,9/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2304566173262759669551/18446744073709551616", + "floor_float": 124.93078258440447 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "657330865170916827977/18446744073709551616", + "floor_float": 35.63397760300421 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "164398304319452242373/18446744073709551616", + "floor_float": 8.91204993480416 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "368877466883430100061/4611686018427387904", + "floor_float": 79.98755019519292 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "370005014705758200579/18446744073709551616", + "floor_float": 20.058012038725703 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1025968015059758506069/18446744073709551616", + "floor_float": 55.617837541421544 + }, + "r=[1/64,9/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "501387838333480314599/4611686018427387904", + "floor_float": 108.72115671579405 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1263458802339842345277/18446744073709551616", + "floor_float": 68.49223891713953 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "315875656386027778479/18446744073709551616", + "floor_float": 17.1236536444508 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1418647594842821484691/9223372036854775808", + "floor_float": 153.81008043199228 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "711048785341261326801/18446744073709551616", + "floor_float": 38.54603189050873 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "123276959107578361517/1152921504606846976", + "floor_float": 106.92571750547452 + }, + "r=[1/64,9/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3857381282091057956429/18446744073709551616", + "floor_float": 209.10905830740228 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "216009001044143394203/4611686018427387904", + "floor_float": 46.839485641696776 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "216063326846839612287/18446744073709551616", + "floor_float": 11.712816418089457 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1939838140326809929721/18446744073709551616", + "floor_float": 105.15883630062841 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "486318508286066467675/18446744073709551616", + "floor_float": 26.363379160183154 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "337177581536255167855/4611686018427387904", + "floor_float": 73.11373328300323 + }, + "r=[1/64,9/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2636917708008679140299/18446744073709551616", + "floor_float": 142.94759538442534 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "558748206976535169677/9223372036854775808", + "floor_float": 60.57960198763397 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "279403947599941407867/18446744073709551616", + "floor_float": 15.146518349444126 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2509302940585928220351/18446744073709551616", + "floor_float": 136.0295849803764 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "78616063539379129963/2305843009213693952", + "floor_float": 34.09428275266132 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1744492152013259760695/18446744073709551616", + "floor_float": 94.56910905483446 + }, + "r=[1/64,9/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1705658933241920536243/9223372036854775808", + "floor_float": 184.92791209401983 + }, + "r=[1/64,9/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1423206125322418583679/18446744073709551616", + "floor_float": 77.15215864846216 + }, + "r=[1/64,9/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "88947436156716429415/4611686018427387904", + "floor_float": 19.287400703625533 + }, + "r=[1/64,9/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1598140869773057058577/9223372036854775808", + "floor_float": 173.2707802945822 + }, + "r=[1/64,9/512],b=[7/8,1],k=[3/4,1]": { + "floor": "800922338822795391291/18446744073709551616", + "floor_float": 43.418086987192304 + }, + "r=[1/64,9/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2221903867671011527281/18446744073709551616", + "floor_float": 120.44965001914278 + }, + "r=[1/64,9/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4345608107956855791847/18446744073709551616", + "floor_float": 235.57588757087228 + }, + "r=[11/128,45/512],b=[0,1/8],k=[1,5/4]": { + "floor": "136514887062748415683/4611686018427387904", + "floor_float": 29.601947426009023 + }, + "r=[11/128,45/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "33705621270892765753/4611686018427387904", + "floor_float": 7.308741561375113 + }, + "r=[11/128,45/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1230527926118264612245/18446744073709551616", + "floor_float": 66.70705254007524 + }, + "r=[11/128,45/512],b=[0,1/8],k=[3/4,1]": { + "floor": "306092801838554816545/18446744073709551616", + "floor_float": 16.593324036776806 + }, + "r=[11/128,45/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "427166552857491091259/9223372036854775808", + "floor_float": 46.31349046212359 + }, + "r=[11/128,45/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1674261392774876803053/18446744073709551616", + "floor_float": 90.7618919677564 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "946310322072890610267/18446744073709551616", + "floor_float": 51.29958535184427 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "233688271122766775325/18446744073709551616", + "floor_float": 12.668266561784266 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "266608319519363076639/2305843009213693952", + "floor_float": 115.62292769024118 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "265227001674378713903/9223372036854775808", + "floor_float": 28.75596914171779 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "740323636726157310871/9223372036854775808", + "floor_float": 80.26604952808691 + }, + "r=[11/128,45/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2902385689163164856969/18446744073709551616", + "floor_float": 157.33864347907706 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "724906918679868442161/18446744073709551616", + "floor_float": 39.297282804124315 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "179014854937671759895/18446744073709551616", + "floor_float": 9.704414731530058 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1633692531775680605251/18446744073709551616", + "floor_float": 88.56264960622684 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "406356427199772375647/18446744073709551616", + "floor_float": 22.028626058672046 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "283544892153636547785/4611686018427387904", + "floor_float": 61.48399761402816 + }, + "r=[11/128,45/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "138935413478066188299/1152921504606846976", + "floor_float": 120.50726170247296 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "630483423151854589281/18446744073709551616", + "floor_float": 34.178574854866916 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "155683686224207841095/18446744073709551616", + "floor_float": 8.439629541241887 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1420831187356904858703/18446744073709551616", + "floor_float": 77.02341300337575 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "353422568270449084073/18446744073709551616", + "floor_float": 19.15907581621137 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "986430219359421970127/18446744073709551616", + "floor_float": 53.4744893417419 + }, + "r=[11/128,45/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1933257759859259967537/18446744073709551616", + "floor_float": 104.80211316069347 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "151969591802691683983/2305843009213693952", + "floor_float": 65.90630463368545 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "300231543815679839503/18446744073709551616", + "floor_float": 16.27558460268185 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "171281326465986803405/1152921504606846976", + "floor_float": 148.56286900849744 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "681478865951285776773/18446744073709551616", + "floor_float": 36.9430433483671 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "59447952767194343099/576460752303423488", + "floor_float": 103.12575926401242 + }, + "r=[11/128,45/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1864772380531893749493/9223372036854775808", + "floor_float": 202.1790266163645 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "414960597227213343415/9223372036854775808", + "floor_float": 44.99011810096271 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "204947382704826310679/18446744073709551616", + "floor_float": 11.11021987868954 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "935219566294341006855/9223372036854775808", + "floor_float": 101.39670855272757 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "465225424057946187291/18446744073709551616", + "floor_float": 25.219920772955767 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "162312900100666266315/2305843009213693952", + "floor_float": 70.391999564626 + }, + "r=[11/128,45/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1272598389707575834621/9223372036854775808", + "floor_float": 137.97539388225084 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "537349717511897316853/9223372036854775808", + "floor_float": 58.259573111087114 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "132696989313686741633/9223372036854775808", + "floor_float": 14.387036409618494 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1211203041692925697777/9223372036854775808", + "floor_float": 131.31889691245212 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "150603672977571219333/4611686018427387904", + "floor_float": 32.656965885315834 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1681584787113288155143/18446744073709551616", + "floor_float": 91.15889397034007 + }, + "r=[11/128,45/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1648247483995473344429/9223372036854775808", + "floor_float": 178.7033502941659 + }, + "r=[11/128,45/512],b=[7/8,1],k=[1,5/4]": { + "floor": "685100289312416282193/9223372036854775808", + "floor_float": 74.27872220429694 + }, + "r=[11/128,45/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "338374948675287609295/18446744073709551616", + "floor_float": 18.343342723420893 + }, + "r=[11/128,45/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3088834644460306143323/18446744073709551616", + "floor_float": 167.44606159861772 + }, + "r=[11/128,45/512],b=[7/8,1],k=[3/4,1]": { + "floor": "24001285460186346271/576460752303423488", + "floor_float": 41.63559334140606 + }, + "r=[11/128,45/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "536014931564090033843/4611686018427387904", + "floor_float": 116.22971065729108 + }, + "r=[11/128,45/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4203746775374416895349/18446744073709551616", + "floor_float": 227.88556932199384 + }, + "r=[11/256,23/512],b=[0,1/8],k=[1,5/4]": { + "floor": "561348593955666925549/18446744073709551616", + "floor_float": 30.43076825442087 + }, + "r=[11/256,23/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "69866364254558727949/9223372036854775808", + "floor_float": 7.574926390845616 + }, + "r=[11/256,23/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1261858994000819265923/18446744073709551616", + "floor_float": 68.40551313330307 + }, + "r=[11/256,23/512],b=[0,1/8],k=[3/4,1]": { + "floor": "315495207971591360663/18446744073709551616", + "floor_float": 17.10302949457827 + }, + "r=[11/256,23/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "27403903809527013427/576460752303423488", + "floor_float": 47.538195271796766 + }, + "r=[11/256,23/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1715786708941321200433/18446744073709551616", + "floor_float": 93.01298386779672 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "971005053564411317699/18446744073709551616", + "floor_float": 52.63828942844692 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "60419043756643720947/4611686018427387904", + "floor_float": 13.101291700089975 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "545842215420909541157/4611686018427387904", + "floor_float": 118.36066315873016 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "272839697402221639293/9223372036854775808", + "floor_float": 29.581339266377633 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1517088352067603133915/18446744073709551616", + "floor_float": 82.24152435820746 + }, + "r=[11/256,23/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2969288580699808144055/18446744073709551616", + "floor_float": 160.9654564965566 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "744495292101504342613/18446744073709551616", + "floor_float": 40.359170655084064 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "185313866123986009911/18446744073709551616", + "floor_float": 10.045884812165678 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "836893523300772576539/9223372036854775808", + "floor_float": 90.73617761017458 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "418410011625037179891/18446744073709551616", + "floor_float": 22.682052179677523 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "581553151494787462627/9223372036854775808", + "floor_float": 63.05211902664402 + }, + "r=[11/256,23/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2276084826711423278163/18446744073709551616", + "floor_float": 123.3868056940909 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "647840736313720341317/18446744073709551616", + "floor_float": 35.11951668679722 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "161263090115154474749/18446744073709551616", + "floor_float": 8.742089632228808 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1456388984380582139637/18446744073709551616", + "floor_float": 78.95100504246923 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "364100097938191680389/18446744073709551616", + "floor_float": 19.737905859338618 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1012073283636334417117/18446744073709551616", + "floor_float": 54.864602641652596 + }, + "r=[11/256,23/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "990190226634898636577/9223372036854775808", + "floor_float": 107.35663948914711 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1246496205316481388697/18446744073709551616", + "floor_float": 67.57269468995332 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "310219208305630655885/18446744073709551616", + "floor_float": 16.8170169795849 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2803224949813314121531/18446744073709551616", + "floor_float": 151.96312902765823 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "700460383741016967725/18446744073709551616", + "floor_float": 37.97203348960203 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1947643414792909280113/18446744073709551616", + "floor_float": 105.58196107727794 + }, + "r=[11/256,23/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3812566673966419424523/18446744073709551616", + "floor_float": 206.6796535330113 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "106492504413350958737/2305843009213693952", + "floor_float": 46.18376185535091 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "212049607811037076689/18446744073709551616", + "floor_float": 11.495232273171279 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1915503072919141663313/18446744073709551616", + "floor_float": 103.83962965307965 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "29923801113472149559/1152921504606846976", + "floor_float": 25.95476014100053 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "10398565912196073953/144115188075855872", + "floor_float": 72.15454561751484 + }, + "r=[11/256,23/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2604895197969294589739/18446744073709551616", + "floor_float": 141.21165163676838 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1102278415372101028669/18446744073709551616", + "floor_float": 59.75463263151556 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "274338169732988886603/18446744073709551616", + "floor_float": 14.871901981010181 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "619679782602859797899/4611686018427387904", + "floor_float": 134.37163330867313 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "309717489488492745833/9223372036854775808", + "floor_float": 33.57963749601802 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1722245691326253661879/18446744073709551616", + "floor_float": 93.36312600448619 + }, + "r=[11/256,23/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1685541915493781388859/9223372036854775808", + "floor_float": 182.74682065937364 + }, + "r=[11/256,23/512],b=[7/8,1],k=[1,5/4]": { + "floor": "702169282679014626343/9223372036854775808", + "floor_float": 76.1293461733176 + }, + "r=[11/256,23/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "349488124491595072839/18446744073709551616", + "floor_float": 18.94578919158359 + }, + "r=[11/256,23/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3158405567549688329501/18446744073709551616", + "floor_float": 171.21750889638423 + }, + "r=[11/256,23/512],b=[7/8,1],k=[3/4,1]": { + "floor": "789138545370032194013/18446744073709551616", + "floor_float": 42.77928626411199 + }, + "r=[11/256,23/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1097170514355766610371/9223372036854775808", + "floor_float": 118.95546552515604 + }, + "r=[11/256,23/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4295795292591864536601/18446744073709551616", + "floor_float": 232.87552943905513 + }, + "r=[11/512,3/128],b=[0,1/8],k=[1,5/4]": { + "floor": "568009024215231779353/18446744073709551616", + "floor_float": 30.79183090227629 + }, + "r=[11/512,3/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "141928024997693963757/18446744073709551616", + "floor_float": 7.693933651953839 + }, + "r=[11/512,3/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1275295791367990147701/18446744073709551616", + "floor_float": 69.13392337813977 + }, + "r=[11/512,3/128],b=[0,1/8],k=[3/4,1]": { + "floor": "319635463552188773319/18446744073709551616", + "floor_float": 17.327473199334715 + }, + "r=[11/512,3/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "443341801653688255775/9223372036854775808", + "floor_float": 48.06721445065664 + }, + "r=[11/512,3/128],b=[0,1/8],k=[7/4,2]": { + "floor": "27085678662328799881/288230376151711744", + "floor_float": 93.9723252766117 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "490914641404752145561/9223372036854775808", + "floor_float": 53.22507207159747 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "122632209229367087555/9223372036854775808", + "floor_float": 13.295810766317672 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2205166044005653400551/18446744073709551616", + "floor_float": 119.54229078010974 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "552421150267276996919/18446744073709551616", + "floor_float": 29.94681056233615 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "383232421704229138999/4611686018427387904", + "floor_float": 83.10028483572124 + }, + "r=[11/512,3/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2997983863416805417361/18446744073709551616", + "floor_float": 162.52103088964932 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "753047156321005013417/18446744073709551616", + "floor_float": 40.82276814336325 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "188139063746371688197/18446744073709551616", + "floor_float": 10.19903908216025 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "211379821419899130837/2305843009213693952", + "floor_float": 91.67138464122104 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "423730028699249767797/18446744073709551616", + "floor_float": 22.970450883153585 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "146954321074547071189/2305843009213693952", + "floor_float": 63.73127766606251 + }, + "r=[11/512,3/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "143675436640022662995/1152921504606846976", + "floor_float": 124.61857643033281 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "5120318603246990289/144115188075855872", + "floor_float": 35.529347542133316 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20469256339535083423/2305843009213693952", + "floor_float": 8.877124876994648 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1471639585531270312461/18446744073709551616", + "floor_float": 79.77774178743353 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "368799159886075863227/18446744073709551616", + "floor_float": 19.992642517965617 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1023149236957892218957/18446744073709551616", + "floor_float": 55.46503127433164 + }, + "r=[11/512,3/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "2000467014240309261279/18446744073709551616", + "floor_float": 108.4455341412467 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1259993768016042575707/18446744073709551616", + "floor_float": 68.3043990300595 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "157355243002286715537/9223372036854775808", + "floor_float": 17.06048963150637 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "707592168502009001377/4611686018427387904", + "floor_float": 153.43459326472146 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "354439228628327378103/9223372036854775808", + "floor_float": 38.428378169291896 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1967381046149134195833/18446744073709551616", + "floor_float": 106.65194021708479 + }, + "r=[11/512,3/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "962071861380419690591/4611686018427387904", + "floor_float": 208.61608043916482 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "430783832898958110221/9223372036854775808", + "floor_float": 46.70567675006829 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "215237014751685003373/18446744073709551616", + "floor_float": 11.668021949653573 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1934897283158186485195/18446744073709551616", + "floor_float": 104.8909918968203 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "60596848346882156549/2305843009213693952", + "floor_float": 26.279693849385712 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1345109652998126419189/18446744073709551616", + "floor_float": 72.91854040058958 + }, + "r=[11/512,3/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1315214420009168034787/9223372036854775808", + "floor_float": 142.59583314582028 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "278597090513042890363/4611686018427387904", + "floor_float": 60.411114156476366 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "139180283288046436891/9223372036854775808", + "floor_float": 15.08995655080479 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "625771659698436112617/4611686018427387904", + "floor_float": 135.69259858498086 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "313491451327826162885/9223372036854775808", + "floor_float": 33.98881125852629 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1739960632017180931533/18446744073709551616", + "floor_float": 94.32345486361395 + }, + "r=[11/512,3/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3403155373476337981153/18446744073709551616", + "floor_float": 184.4854224614382 + }, + "r=[11/512,3/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1419349823976594597289/18446744073709551616", + "floor_float": 76.9431081336171 + }, + "r=[11/512,3/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "354491283887571911983/18446744073709551616", + "floor_float": 19.21701100590406 + }, + "r=[11/512,3/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3188576017704364905885/18446744073709551616", + "floor_float": 172.85305227651253 + }, + "r=[11/512,3/128],b=[7/8,1],k=[3/4,1]": { + "floor": "798505895969426171461/18446744073709551616", + "floor_float": 43.2870913576268 + }, + "r=[11/512,3/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2216284631195788319115/18446744073709551616", + "floor_float": 120.14503059943543 + }, + "r=[11/512,3/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2167746075617366373861/9223372036854775808", + "floor_float": 235.02750045812752 + }, + "r=[13/128,53/512],b=[0,1/8],k=[1,5/4]": { + "floor": "134962006244316500661/4611686018427387904", + "floor_float": 29.265220074618032 + }, + "r=[13/128,53/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "66435358366252184641/9223372036854775808", + "floor_float": 7.202935987054365 + }, + "r=[13/128,53/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1217625819967956984755/18446744073709551616", + "floor_float": 66.00762796418513 + }, + "r=[13/128,53/512],b=[0,1/8],k=[3/4,1]": { + "floor": "9447108106304542155/576460752303423488", + "floor_float": 16.388120212097288 + }, + "r=[13/128,53/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "422543756798652119599/9223372036854775808", + "floor_float": 45.812285909128526 + }, + "r=[13/128,53/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1657065055308668515643/18446744073709551616", + "floor_float": 89.82967664577355 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "468158761187637175607/9223372036854775808", + "floor_float": 50.75787459477587 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "115262387609271985783/9223372036854775808", + "floor_float": 12.496773105183898 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "264016886384922706513/2305843009213693952", + "floor_float": 114.49907271655673 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "65543870638434986833/2305843009213693952", + "floor_float": 28.42512277572003 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "732888923663992666307/9223372036854775808", + "floor_float": 79.45997632270638 + }, + "r=[13/128,53/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "718696966175558791247/4611686018427387904", + "floor_float": 155.84256241725637 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "89620450752062796771/2305843009213693952", + "floor_float": 38.86667496180666 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "44127391007076864357/4611686018427387904", + "floor_float": 9.56860263919801 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1617223198429252898497/18446744073709551616", + "floor_float": 87.6698452565476 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "200754359374978455285/9223372036854775808", + "floor_float": 21.765831257028733 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "140296054567043180573/2305843009213693952", + "floor_float": 60.84371486109324 + }, + "r=[13/128,53/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2201030644731938337293/18446744073709551616", + "floor_float": 119.3181103362769 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "623439925394331449851/18446744073709551616", + "floor_float": 33.796746076336746 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "153467639622962794261/18446744073709551616", + "floor_float": 8.319497414271938 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "703106028835248748041/9223372036854775808", + "floor_float": 76.23090839508325 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "349127900773988449227/18446744073709551616", + "floor_float": 18.926261424723094 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "975950460781658214065/18446744073709551616", + "floor_float": 52.90638049088515 + }, + "r=[13/128,53/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "956889527627343718089/9223372036854775808", + "floor_float": 103.74617046821942 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1203322613961932797171/18446744073709551616", + "floor_float": 65.23224961292317 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "296277924218392770679/18446744073709551616", + "floor_float": 16.061258454853853 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "678708143374379678751/4611686018427387904", + "floor_float": 147.17136870602113 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "168466871358822191401/4611686018427387904", + "floor_float": 36.530429583814204 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "117743314900317024745/1152921504606846976", + "floor_float": 102.12604624845487 + }, + "r=[13/128,53/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3695360526181219774515/18446744073709551616", + "floor_float": 200.32589553014276 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "820989448825568595635/18446744073709551616", + "floor_float": 44.50592720021792 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "202132205031280504203/18446744073709551616", + "floor_float": 10.957608791209987 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "462983187579372836975/4611686018427387904", + "floor_float": 100.39347555956397 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "229886940670048681405/9223372036854775808", + "floor_float": 24.924392050051303 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "642614073631052481179/9223372036854775808", + "floor_float": 69.6723574700547 + }, + "r=[13/128,53/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1260270872118445648953/9223372036854775808", + "floor_float": 136.63884174710202 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1063544355640094256799/18446744073709551616", + "floor_float": 57.654855045984306 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "130925890145110645489/9223372036854775808", + "floor_float": 14.195013452992745 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "74977807780448700947/576460752303423488", + "floor_float": 130.06576333402086 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "297796637846084480753/9223372036854775808", + "floor_float": 32.287176171160375 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1665012128331355005941/18446744073709551616", + "floor_float": 90.26048833757844 + }, + "r=[13/128,53/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "25513577936148342019/144115188075855872", + "floor_float": 177.0360104080017 + }, + "r=[13/128,53/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1356408119511765852683/18446744073709551616", + "floor_float": 73.53103149758171 + }, + "r=[13/128,53/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "333965543551036832313/18446744073709551616", + "floor_float": 18.104308392666823 + }, + "r=[13/128,53/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1530198652805097090743/9223372036854775808", + "floor_float": 165.90447037056785 + }, + "r=[13/128,53/512],b=[7/8,1],k=[3/4,1]": { + "floor": "759580935438709531935/18446744073709551616", + "floor_float": 41.17696501906103 + }, + "r=[13/128,53/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "530904630720841469463/4611686018427387904", + "floor_float": 115.12159080203016 + }, + "r=[13/128,53/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4165936930864894000235/18446744073709551616", + "floor_float": 225.83589354406564 + }, + "r=[13/256,27/512],b=[0,1/8],k=[1,5/4]": { + "floor": "279382475938206585675/9223372036854775808", + "floor_float": 30.290708736658274 + }, + "r=[13/256,27/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "138891046089072967423/18446744073709551616", + "floor_float": 7.529298695427862 + }, + "r=[13/256,27/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "628305076320306068069/9223372036854775808", + "floor_float": 68.12097287301465 + }, + "r=[13/256,27/512],b=[0,1/8],k=[3/4,1]": { + "floor": "313896876856070348121/18446744073709551616", + "floor_float": 17.016383791188318 + }, + "r=[13/256,27/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "873125187665593662571/18446744073709551616", + "floor_float": 47.33221126594252 + }, + "r=[13/256,27/512],b=[0,1/8],k=[7/4,2]": { + "floor": "854427252241301222813/9223372036854775808", + "floor_float": 92.63718831108389 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "483408243805134604667/9223372036854775808", + "floor_float": 52.41122681309293 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "120151584113200032753/9223372036854775808", + "floor_float": 13.02686085231063 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2174878719999918686799/18446744073709551616", + "floor_float": 117.90041165582025 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "543082610478473826501/18446744073709551616", + "floor_float": 29.440567305993014 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1510936362413094157223/18446744073709551616", + "floor_float": 81.9080243307811 + }, + "r=[13/256,27/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "184880165434310671497/1152921504606846976", + "floor_float": 160.35798161068726 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "741180573916033764509/18446744073709551616", + "floor_float": 40.17947942219084 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "92116154939350653505/9223372036854775808", + "floor_float": 9.98725353062553 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "833527363986590571477/9223372036854775808", + "floor_float": 90.37121788603773 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "416359466537486387571/18446744073709551616", + "floor_float": 22.57089190774242 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1158230682508330983883/18446744073709551616", + "floor_float": 62.78781111074505 + }, + "r=[13/256,27/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2267195773246386100677/18446744073709551616", + "floor_float": 122.90492914018425 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "644905794103414827463/18446744073709551616", + "floor_float": 34.96041315077059 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "80153291440005723001/9223372036854775808", + "floor_float": 8.6902372711118 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "362606914300968759699/4611686018427387904", + "floor_float": 78.62784084867509 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "362284041355231364431/18446744073709551616", + "floor_float": 19.63945723470851 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "251939344632201054469/4611686018427387904", + "floor_float": 54.63063695696132 + }, + "r=[13/256,27/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1972507275861855206371/18446744073709551616", + "floor_float": 106.92983368664439 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1241278982401007740399/18446744073709551616", + "floor_float": 67.28986846898844 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "154250882911680384545/9223372036854775808", + "floor_float": 16.723914236065106 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2792666555236001006221/18446744073709551616", + "floor_float": 151.39075731072413 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "87152622505653399129/2305843009213693952", + "floor_float": 37.796425063375395 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1939987944335677560077/18446744073709551616", + "floor_float": 105.16695719222147 + }, + "r=[13/256,27/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3798637180896473516511/18446744073709551616", + "floor_float": 205.92453420060843 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "424106570991476316111/9223372036854775808", + "floor_float": 45.98172656343365 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "105414920723247357263/9223372036854775808", + "floor_float": 11.4291086060532 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "953971567095037606071/9223372036854775808", + "floor_float": 103.42980455338409 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "119117881945622070989/4611686018427387904", + "floor_float": 25.82957327746306 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1325540561177773434789/18446744073709551616", + "floor_float": 71.85769780732983 + }, + "r=[13/256,27/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2594905561078841940361/18446744073709551616", + "floor_float": 140.67011233581985 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "34299951799971352743/576460752303423488", + "floor_float": 59.500931612283246 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "272800355019796415529/18446744073709551616", + "floor_float": 14.788536878364008 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2469242276091293515385/18446744073709551616", + "floor_float": 133.8578920065616 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "38533184042802331195/1152921504606846976", + "floor_float": 33.42220948159205 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "857687976532294929865/9223372036854775808", + "floor_float": 92.99071674710105 + }, + "r=[13/256,27/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3358579307747424624217/18446744073709551616", + "floor_float": 182.06894909623097 + }, + "r=[13/256,27/512],b=[7/8,1],k=[1,5/4]": { + "floor": "699271012061943199179/9223372036854775808", + "floor_float": 75.81511504336962 + }, + "r=[13/256,27/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "347576122060190918299/18446744073709551616", + "floor_float": 18.842139332087292 + }, + "r=[13/256,27/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1573342070489171009029/9223372036854775808", + "floor_float": 170.5820890887201 + }, + "r=[13/256,27/512],b=[7/8,1],k=[3/4,1]": { + "floor": "785536769642868155349/18446744073709551616", + "floor_float": 42.58403361070214 + }, + "r=[13/256,27/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2185839392727745626277/18446744073709551616", + "floor_float": 118.49459091499088 + }, + "r=[13/256,27/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4280333466411614851137/18446744073709551616", + "floor_float": 232.03734216229412 + }, + "r=[13/512,7/256],b=[0,1/8],k=[1,5/4]": { + "floor": "35427925164888882237/1152921504606846976", + "floor_float": 30.72882674434112 + }, + "r=[13/512,7/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "35385528377478211201/4611686018427387904", + "floor_float": 7.673013348281868 + }, + "r=[13/512,7/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "636480581354121165165/9223372036854775808", + "floor_float": 69.0073629048975 + }, + "r=[13/512,7/256],b=[0,1/8],k=[3/4,1]": { + "floor": "159455404531450648017/9223372036854775808", + "floor_float": 17.288189600755373 + }, + "r=[13/512,7/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "884984764261315842429/18446744073709551616", + "floor_float": 47.975120201434535 + }, + "r=[13/512,7/256],b=[0,1/8],k=[7/4,2]": { + "floor": "216301719734381919615/2305843009213693952", + "floor_float": 93.80591777934703 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "489968685729178501991/9223372036854775808", + "floor_float": 53.12251135174427 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "244632775566129711279/18446744073709551616", + "floor_float": 13.261569336497834 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1100685889137992948317/9223372036854775808", + "floor_float": 119.3366032227551 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "551239359526121734745/18446744073709551616", + "floor_float": 29.882745557886963 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "382541765557115853505/4611686018427387904", + "floor_float": 82.95052265669311 + }, + "r=[13/512,7/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1496498400811733354241/9223372036854775808", + "floor_float": 162.25068172811646 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "751553640142711203325/18446744073709551616", + "floor_float": 40.74180446910582 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "93820994944531622885/9223372036854775808", + "floor_float": 10.172092654361272 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "844020098932377574219/9223372036854775808", + "floor_float": 91.50884248839141 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "422798101443305313113/18446744073709551616", + "floor_float": 22.919931005378917 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "293363077884996086221/4611686018427387904", + "floor_float": 63.6129772739894 + }, + "r=[13/512,7/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1147432485640911807631/9223372036854775808", + "floor_float": 124.4048793712319 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "163520563444986123481/4611686018427387904", + "floor_float": 35.45787002662154 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "163316230747879373465/18446744073709551616", + "floor_float": 8.853390608949738 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1468991171309759632933/18446744073709551616", + "floor_float": 79.63417096480336 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "91994387496581657513/4611686018427387904", + "floor_float": 19.948102956053432 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1021222059121828530559/18446744073709551616", + "floor_float": 55.36055875450034 + }, + "r=[13/512,7/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "998492299159204364991/9223372036854775808", + "floor_float": 108.25675199584556 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1257632486673190398965/18446744073709551616", + "floor_float": 68.17639371197102 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "313919435679006870185/18446744073709551616", + "floor_float": 17.01760670743014 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1412819379720803756085/9223372036854775808", + "floor_float": 153.17818408229184 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "707401682469183365973/18446744073709551616", + "floor_float": 38.34832204764948 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1963935565877023369485/18446744073709551616", + "floor_float": 106.46516035727086 + }, + "r=[13/512,7/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3842072347074259527273/18446744073709551616", + "floor_float": 208.27915927721966 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "859884839492638314143/18446744073709551616", + "floor_float": 46.61445055326339 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107337940786817672311/9223372036854775808", + "floor_float": 11.637602859118816 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1931521317275737597861/18446744073709551616", + "floor_float": 104.7079804196209 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "483724022870224650169/18446744073709551616", + "floor_float": 26.22273182396627 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "167831480579288894423/2305843009213693952", + "floor_float": 72.7853023422095 + }, + "r=[13/512,7/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2625991390693616100909/18446744073709551616", + "floor_float": 142.35527853591248 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "278067464677414124167/4611686018427387904", + "floor_float": 60.29626986015773 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "17353256045885788895/1152921504606846976", + "floor_float": 15.051550323717269 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "624710109989725988625/4611686018427387904", + "floor_float": 135.46241168490386 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "156414701014158538903/4611686018427387904", + "floor_float": 33.917031729644265 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "868434108982597145897/9223372036854775808", + "floor_float": 94.15581476194451 + }, + "r=[13/512,7/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3397575245229068969733/18446744073709551616", + "floor_float": 184.18292310301635 + }, + "r=[13/512,7/256],b=[7/8,1],k=[1,5/4]": { + "floor": "177090304291798693051/2305843009213693952", + "floor_float": 76.80067705571487 + }, + "r=[13/512,7/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "176804916619517753959/9223372036854775808", + "floor_float": 19.169227470499962 + }, + "r=[13/512,7/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1591657604354987795795/9223372036854775808", + "floor_float": 172.56786324947512 + }, + "r=[13/512,7/256],b=[7/8,1],k=[3/4,1]": { + "floor": "99607743801255788225/2305843009213693952", + "floor_float": 43.197972890280425 + }, + "r=[13/512,7/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "69139118952741867133/576460752303423488", + "floor_float": 119.93725275567431 + }, + "r=[13/512,7/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4328580433463198276913/18446744073709551616", + "floor_float": 234.6528154869523 + }, + "r=[15/128,61/512],b=[0,1/8],k=[1,5/4]": { + "floor": "266645275994984707017/9223372036854775808", + "floor_float": 28.909738751675935 + }, + "r=[15/128,61/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "65417182327591995185/9223372036854775808", + "floor_float": 7.092545119745559 + }, + "r=[15/128,61/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "300976237089207778339/4611686018427387904", + "floor_float": 65.26381802372626 + }, + "r=[15/128,61/512],b=[0,1/8],k=[3/4,1]": { + "floor": "74582773543374925127/4611686018427387904", + "floor_float": 16.1725610211443 + }, + "r=[15/128,61/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "835288409971427591759/18446744073709551616", + "floor_float": 45.28107543714923 + }, + "r=[15/128,61/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1638723782572167089049/18446744073709551616", + "floor_float": 88.83539425842035 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "462880390931940438009/9223372036854775808", + "floor_float": 50.18559254493494 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "227227751223508265165/18446744073709551616", + "floor_float": 12.31804107627617 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2090127957531286486869/18446744073709551616", + "floor_float": 113.30606361640555 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "64743764349728198187/2305843009213693952", + "floor_float": 28.078131985145944 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "725015410605289350649/9223372036854775808", + "floor_float": 78.60632832637248 + }, + "r=[15/128,61/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2845412347683635491867/18446744073709551616", + "floor_float": 154.25011244878385 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "708585336355251543729/18446744073709551616", + "floor_float": 38.41248805338678 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "173896438310776521809/18446744073709551616", + "floor_float": 9.426944810201771 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1599720185324792678283/18446744073709551616", + "floor_float": 86.7210050149027 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "24776220991728927959/1152921504606846976", + "floor_float": 21.48994610017077 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "277465711306727742817/4611686018427387904", + "floor_float": 60.165785397798004 + }, + "r=[15/128,61/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2177636197926952896161/18446744073709551616", + "floor_float": 118.04989483377382 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "154002507152921010439/4611686018427387904", + "floor_float": 33.39397056468228 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "151155967299524968049/18446744073709551616", + "floor_float": 8.194181406514641 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "695339383075344029233/9223372036854775808", + "floor_float": 75.38884697450185 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "86154660881641442101/4611686018427387904", + "floor_float": 18.68181409952551 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "241213338856324037691/4611686018427387904", + "floor_float": 52.30480520410173 + }, + "r=[15/128,61/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "946506758297684490695/9223372036854775808", + "floor_float": 102.62046836185618 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1190225305114091569457/18446744073709551616", + "floor_float": 64.52224307759602 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "292147925268572857347/18446744073709551616", + "floor_float": 15.837370763165975 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2687566964047757818485/18446744073709551616", + "floor_float": 145.69329705604252 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "332938681717729492425/9223372036854775808", + "floor_float": 36.09728420228222 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1864397735818048917017/18446744073709551616", + "floor_float": 101.0692037775492 + }, + "r=[15/128,61/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "914747024642966307059/4611686018427387904", + "floor_float": 198.35414227851106 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "101446246338992169401/2305843009213693952", + "floor_float": 43.99529626849399 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "199197385609849633743/18446744073709551616", + "floor_float": 10.798511911581587 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "916130851526813810831/9223372036854775808", + "floor_float": 99.32710595063666 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "56755988712876139643/2305843009213693952", + "floor_float": 24.61398650562523 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "635584475045779343817/9223372036854775808", + "floor_float": 68.91020686426928 + }, + "r=[15/128,61/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2494276229402626887485/18446744073709551616", + "floor_float": 135.21498533486402 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1051779450741713611553/18446744073709551616", + "floor_float": 57.01707827348883 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "258160346916669377791/18446744073709551616", + "floor_float": 13.994900448833222 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2374757481903985932281/18446744073709551616", + "floor_float": 128.73586105032538 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "588430322089825035313/18446744073709551616", + "floor_float": 31.89887167830667 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1647449292684274331363/18446744073709551616", + "floor_float": 89.3084051093999 + }, + "r=[15/128,61/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3233005448089329954183/18446744073709551616", + "floor_float": 175.26157652379615 + }, + "r=[15/128,61/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1341883043323053532285/18446744073709551616", + "floor_float": 72.74362553961575 + }, + "r=[15/128,61/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "329365790048722508517/18446744073709551616", + "floor_float": 17.854955255661473 + }, + "r=[15/128,61/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3030256703692466054953/18446744073709551616", + "floor_float": 164.27054506660676 + }, + "r=[15/128,61/512],b=[7/8,1],k=[3/4,1]": { + "floor": "375354337326328025361/9223372036854775808", + "floor_float": 40.695998798106174 + }, + "r=[15/128,61/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1051008776353764341897/9223372036854775808", + "floor_float": 113.9505998624083 + }, + "r=[15/128,61/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1031424837228364808055/4611686018427387904", + "floor_float": 223.6546098557002 + }, + "r=[15/256,31/512],b=[0,1/8],k=[1,5/4]": { + "floor": "278047209271352523339/9223372036854775808", + "floor_float": 30.14593883455321 + }, + "r=[15/256,31/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "138026403450997865577/18446744073709551616", + "floor_float": 7.482426324096631 + }, + "r=[15/256,31/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1251165121088307386183/18446744073709551616", + "floor_float": 67.8257971211016 + }, + "r=[15/256,31/512],b=[0,1/8],k=[3/4,1]": { + "floor": "78062247900185000851/4611686018427387904", + "floor_float": 16.927051752496517 + }, + "r=[15/256,31/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "434594889888020472357/9223372036854775808", + "floor_float": 47.11887237676904 + }, + "r=[15/256,31/512],b=[0,1/8],k=[7/4,2]": { + "floor": "425413050437182431269/4611686018427387904", + "floor_float": 92.24675069753573 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "120311734129039714885/2305843009213693952", + "floor_float": 52.17689740728131 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "238894429837400854037/18446744073709551616", + "floor_float": 12.950492991219797 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2166085986364794900911/18446744073709551616", + "floor_float": 117.42375661035587 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "540409143733378295893/18446744073709551616", + "floor_float": 29.295638383337998 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "47017981108347936481/576460752303423488", + "floor_float": 81.56319562168518 + }, + "r=[15/256,31/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2946460792827317805529/18446744073709551616", + "floor_float": 159.72795963633698 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "368877480706857540263/9223372036854775808", + "floor_float": 39.99377659633547 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "183122358016271229667/18446744073709551616", + "floor_float": 9.92708291959548 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1660076817668004378045/18446744073709551616", + "floor_float": 89.99294461042365 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "103561896406128699857/4611686018427387904", + "floor_float": 22.4564066140487 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1153185349489887972029/18446744073709551616", + "floor_float": 62.51430305976961 + }, + "r=[15/256,31/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1128984662460803091271/9223372036854775808", + "floor_float": 122.40476237428166 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "320935987023063703863/9223372036854775808", + "floor_float": 34.79594943591853 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "79661944093857461807/9223372036854775808", + "floor_float": 8.636965285097906 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1444242793135671142229/18446744073709551616", + "floor_float": 78.29255869571138 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "360411833391302841233/18446744073709551616", + "floor_float": 19.53796463761671 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "501643542889659581913/9223372036854775808", + "floor_float": 54.38830190142942 + }, + "r=[15/256,31/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "982163439456912069287/9223372036854775808", + "floor_float": 106.48637347950192 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1235896510808747257385/18446744073709551616", + "floor_float": 66.99808409930492 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "153369961756012384419/9223372036854775808", + "floor_float": 16.628404572988735 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2781736938977928921495/18446744073709551616", + "floor_float": 150.79826162615237 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "693886838168118698935/18446744073709551616", + "floor_float": 37.6156808700486 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1932075483956239631385/18446744073709551616", + "floor_float": 104.73802185556687 + }, + "r=[15/256,31/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "946049538142419890523/4611686018427387904", + "floor_float": 205.14179290658396 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "13193191304693428053/288230376151711744", + "floor_float": 45.77307735860954 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "104788863581341791517/9223372036854775808", + "floor_float": 11.361231354717793 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1900098952402847346573/18446744073709551616", + "floor_float": 103.00457060662991 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "474092485655959422369/18446744073709551616", + "floor_float": 25.700605145362204 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "5155760379019437825/72057594037927936", + "floor_float": 71.5505485279688 + }, + "r=[15/256,31/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "646133969590672208153/4611686018427387904", + "floor_float": 140.10797070937792 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1092769904836586567523/18446744073709551616", + "floor_float": 59.23917524253025 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "271222914861986161407/18446744073709551616", + "floor_float": 14.70302367606082 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "307428862444085380679/2305843009213693952", + "floor_float": 133.32601621864987 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "19173185162930648111/576460752303423488", + "floor_float": 33.260174411386 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "854137440451975286077/9223372036854775808", + "floor_float": 92.60576685392398 + }, + "r=[15/256,31/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1672807729145029506767/9223372036854775808", + "floor_float": 181.36617740895844 + }, + "r=[15/256,31/512],b=[7/8,1],k=[1,5/4]": { + "floor": "174070673643620471913/2305843009213693952", + "floor_float": 75.49112101217142 + }, + "r=[15/256,31/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "172807707918677763413/9223372036854775808", + "floor_float": 18.735849234767095 + }, + "r=[15/256,31/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1567276488361248349201/9223372036854775808", + "floor_float": 169.92445735667178 + }, + "r=[15/256,31/512],b=[7/8,1],k=[3/4,1]": { + "floor": "781831451616998091993/18446744073709551616", + "floor_float": 42.38316791803224 + }, + "r=[15/256,31/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2177057982569932195083/18446744073709551616", + "floor_float": 118.0185497164615 + }, + "r=[15/256,31/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2132153863487987990625/9223372036854775808", + "floor_float": 231.1685850867038 + }, + "r=[15/512,1/32],b=[0,1/8],k=[1,5/4]": { + "floor": "565662469663073949343/18446744073709551616", + "floor_float": 30.664623925111027 + }, + "r=[15/512,1/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "141150160537504820027/18446744073709551616", + "floor_float": 7.651765535072022 + }, + "r=[15/512,1/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1270577559550321229347/18446744073709551616", + "floor_float": 68.87814751878943 + }, + "r=[15/512,1/32],b=[0,1/8],k=[3/4,1]": { + "floor": "159086676535904868355/9223372036854775808", + "floor_float": 17.248212031372677 + }, + "r=[15/512,1/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "883251793965786573651/18446744073709551616", + "floor_float": 47.88117569347125 + }, + "r=[15/512,1/32],b=[0,1/8],k=[7/4,2]": { + "floor": "1727277350906397303983/18446744073709551616", + "floor_float": 93.63589281688614 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "978010979852606755757/18446744073709551616", + "floor_float": 53.01808145354366 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "121995846563186306993/9223372036854775808", + "floor_float": 13.226816187801486 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1098750653032782233207/9223372036854775808", + "floor_float": 119.12678450380092 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "550037612526563721317/18446744073709551616", + "floor_float": 29.817598722502026 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1527351262181413131559/18446744073709551616", + "floor_float": 82.79787783027827 + }, + "r=[15/512,1/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2987906002183973734525/18446744073709551616", + "floor_float": 161.97470893751714 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "750032255429063078051/18446744073709551616", + "floor_float": 40.65933003851965 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "93568675826093005851/9223372036854775808", + "floor_float": 10.144736160724193 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "421245009509022987887/4611686018427387904", + "floor_float": 91.34295089167193 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "421850093456997711035/18446744073709551616", + "floor_float": 22.868539389464498 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "292806748603396931723/4611686018427387904", + "floor_float": 63.49234259084398 + }, + "r=[15/512,1/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1145418763153085020189/9223372036854775808", + "floor_float": 124.18655114162343 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "81592298975726257629/2305843009213693952", + "floor_float": 35.38501912302768 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "10179478385319332037/1152921504606846976", + "floor_float": 8.829290064105964 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1466286704912869582807/18446744073709551616", + "floor_float": 79.48756154765725 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "91785292591419547689/4611686018427387904", + "floor_float": 19.90276272596695 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1019255810008382446151/18446744073709551616", + "floor_float": 55.25396817647804 + }, + "r=[15/512,1/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1993425850117822493085/18446744073709551616", + "floor_float": 108.06383186932534 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "627614621830352376019/9223372036854775808", + "floor_float": 68.04611364721363 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "156558390124538959625/9223372036854775808", + "floor_float": 16.974094669385828 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1410408039800630752263/9223372036854775808", + "floor_float": 152.91674608428656 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "705900586276701393787/18446744073709551616", + "floor_float": 38.26694745999954 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1960425356730907230351/18446744073709551616", + "floor_float": 106.27487153816598 + }, + "r=[15/512,1/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "119866597746500690341/576460752303423488", + "floor_float": 207.9354010963234 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "429085756423742617181/9223372036854775808", + "floor_float": 46.521570929720774 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107053199658672388781/9223372036854775808", + "floor_float": 11.606731164145707 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1928077978214757474861/18446744073709551616", + "floor_float": 104.52131663509496 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "241327802047153126801/9223372036854775808", + "floor_float": 26.164812726067517 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "335036752632774209249/4611686018427387904", + "floor_float": 72.64951501338847 + }, + "r=[15/512,1/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2621462189185585055511/18446744073709551616", + "floor_float": 142.1097500301809 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1110113506584475637583/18446744073709551616", + "floor_float": 60.17937377721949 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "276933193769806545941/18446744073709551616", + "floor_float": 15.012578515928672 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2494510815439097796543/18446744073709551616", + "floor_float": 135.22770226938286 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "624312738440322382325/18446744073709551616", + "floor_float": 33.8440613663686 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1733717542199542839357/18446744073709551616", + "floor_float": 93.98501628644868 + }, + "r=[15/512,1/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3391881618320034817475/18446744073709551616", + "floor_float": 183.8742709698115 + }, + "r=[15/512,1/32],b=[7/8,1],k=[1,5/4]": { + "floor": "707024386641855282039/9223372036854775808", + "floor_float": 76.65573759973307 + }, + "r=[15/512,1/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "352715537516200421223/18446744073709551616", + "floor_float": 19.120747602222846 + }, + "r=[15/512,1/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3177952717110561604031/18446744073709551616", + "floor_float": 172.27716199737412 + }, + "r=[15/512,1/32],b=[7/8,1],k=[3/4,1]": { + "floor": "99398885745813979411/2305843009213693952", + "floor_float": 43.10739514729998 + }, + "r=[15/512,1/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2208547861759728361155/18446744073709551616", + "floor_float": 119.72561948790565 + }, + "r=[15/512,1/32],b=[7/8,1],k=[7/4,2]": { + "floor": "4321530539061224042835/18446744073709551616", + "floor_float": 234.27063994563161 + }, + "r=[17/256,35/512],b=[0,1/8],k=[1,5/4]": { + "floor": "138333975263041117151/4611686018427387904", + "floor_float": 29.99639930174904 + }, + "r=[17/256,35/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "137138909384819872303/18446744073709551616", + "floor_float": 7.434315174365722 + }, + "r=[17/256,35/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1245519814959777371641/18446744073709551616", + "floor_float": 67.51976446265671 + }, + "r=[17/256,35/512],b=[0,1/8],k=[3/4,1]": { + "floor": "38818917495514981639/2305843009213693952", + "floor_float": 16.83502187286916 + }, + "r=[17/256,35/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "216279134237648671291/4611686018427387904", + "floor_float": 46.89806144074855 + }, + "r=[17/256,35/512],b=[0,1/8],k=[7/4,2]": { + "floor": "847087155996526001349/9223372036854775808", + "floor_float": 91.84137348160009 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "239509385037116569719/4611686018427387904", + "floor_float": 51.93531911758179 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "237450445013262437707/18446744073709551616", + "floor_float": 12.872214417051447 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2156989503915728351573/18446744073709551616", + "floor_float": 116.93063530869316 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "537659564786859971521/18446744073709551616", + "floor_float": 29.14658340997622 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "749002608861766878407/9223372036854775808", + "floor_float": 81.20702557252382 + }, + "r=[17/256,35/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2934405714593323826017/18446744073709551616", + "floor_float": 159.07445253579803 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "183555079556844465773/4611686018427387904", + "floor_float": 39.80216320525607 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "181984215201595753603/18446744073709551616", + "floor_float": 9.865384073981984 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1652851516582968892959/18446744073709551616", + "floor_float": 89.60126025376078 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "103017534507584035989/4611686018427387904", + "floor_float": 22.338366943444605 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1147969548495645025387/18446744073709551616", + "floor_float": 62.2315539213091 + }, + "r=[17/256,35/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2248402129783331425193/18446744073709551616", + "floor_float": 121.88612368660615 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "319369961095948982779/9223372036854775808", + "floor_float": 34.62616056468389 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "158315416648965521873/18446744073709551616", + "floor_float": 8.58229593343781 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "718917155674741365221/9223372036854775808", + "floor_float": 77.94515420196542 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "179241934992435805907/9223372036854775808", + "floor_float": 19.433449531930446 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "998662866387816921621/18446744073709551616", + "floor_float": 54.13762246591361 + }, + "r=[17/256,35/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "977919190646909440583/9223372036854775808", + "floor_float": 106.02621110146454 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1230349669924363083595/18446744073709551616", + "floor_float": 66.69738925244089 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "152467219987247969143/9223372036854775808", + "floor_float": 16.530529114299956 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2770433610668171832643/18446744073709551616", + "floor_float": 150.1855069706646 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "690458606626318419855/18446744073709551616", + "floor_float": 37.42983606577844 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "480976493485394733549/4611686018427387904", + "floor_float": 104.29515183026501 + }, + "r=[17/256,35/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "942309131911481039215/4611686018427387904", + "floor_float": 204.3307215942715 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "420197170517165820395/9223372036854775808", + "floor_float": 45.55786851469731 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "26036735315755371983/2305843009213693952", + "floor_float": 11.291633997508812 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "945988033003268439593/9223372036854775808", + "floor_float": 102.56422805274327 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "471644791589884753961/18446744073709551616", + "floor_float": 25.5679153841613 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "657004992912940085025/9223372036854775808", + "floor_float": 71.23262406500331 + }, + "r=[17/256,35/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1286890867457410762551/9223372036854775808", + "floor_float": 139.524987424908 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1087793726657585009423/18446744073709551616", + "floor_float": 58.96941608291283 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "269606185775533343061/18446744073709551616", + "floor_float": 14.615380616668189 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1224641707007338086533/9223372036854775808", + "floor_float": 132.77591992537126 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "610468537844557260879/18446744073709551616", + "floor_float": 33.09356574825592 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "425235661574134641941/4611686018427387904", + "floor_float": 92.2082856193975 + }, + "r=[17/256,35/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3332187718542353606271/18446744073709551616", + "floor_float": 180.63825817865683 + }, + "r=[17/256,35/512],b=[7/8,1],k=[1,5/4]": { + "floor": "346602224730374536041/4611686018427387904", + "floor_float": 75.15737700819622 + }, + "r=[17/256,35/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "21475406081623481127/1152921504606846976", + "floor_float": 18.626945542963675 + }, + "r=[17/256,35/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "195125574567802786989/1152921504606846976", + "floor_float": 169.24445748311527 + }, + "r=[17/256,35/512],b=[7/8,1],k=[3/4,1]": { + "floor": "389011561154121403565/9223372036854775808", + "floor_float": 42.17671797252761 + }, + "r=[17/256,35/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2167988259969400696391/18446744073709551616", + "floor_float": 117.52687906909463 + }, + "r=[17/256,35/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4247719662857554646401/18446744073709551616", + "floor_float": 230.26934432897775 + }, + "r=[17/512,9/256],b=[0,1/8],k=[1,5/4]": { + "floor": "282228346880754657563/9223372036854775808", + "floor_float": 30.599258682510673 + }, + "r=[17/512,9/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "35188096187291644439/4611686018427387904", + "floor_float": 7.630202066378099 + }, + "r=[17/512,9/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1268146383586777639445/18446744073709551616", + "floor_float": 68.74635320572101 + }, + "r=[17/512,9/256],b=[0,1/8],k=[3/4,1]": { + "floor": "317423534172353268617/18446744073709551616", + "floor_float": 17.20756426738461 + }, + "r=[17/512,9/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "881485679139504736273/18446744073709551616", + "floor_float": 47.78543441689557 + }, + "r=[17/512,9/256],b=[0,1/8],k=[7/4,2]": { + "floor": "431019024668149288481/4611686018427387904", + "floor_float": 93.46235258555814 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "976051136295836108903/18446744073709551616", + "floor_float": 52.91183812144453 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "121670735661207147495/9223372036854775808", + "floor_float": 13.191567593179032 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2193556685280924175687/18446744073709551616", + "floor_float": 118.912946182584 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "548816527847646627037/18446744073709551616", + "floor_float": 29.75140358941849 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1524483799825617816917/18446744073709551616", + "floor_float": 82.64243238449458 + }, + "r=[17/512,9/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "745678527689050264899/4611686018427387904", + "floor_float": 161.69325593925214 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "748483876744561741513/18446744073709551616", + "floor_float": 40.575392261841316 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "186625400313116584081/18446744073709551616", + "floor_float": 10.116983223022897 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1681859123930470833807/18446744073709551616", + "floor_float": 91.17376579899918 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "420886531501960148083/18446744073709551616", + "floor_float": 22.816304591215694 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1168959900983007187727/18446744073709551616", + "floor_float": 63.36944320971083 + }, + "r=[17/512,9/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2286725712156828754619/18446744073709551616", + "floor_float": 123.9636492499448 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "651369865556010148767/18446744073709551616", + "floor_float": 35.31083116637086 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20302563406535253011/2305843009213693952", + "floor_float": 8.80483334095609 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1463527559326724582005/18446744073709551616", + "floor_float": 79.33798796572214 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "22893128225973286921/1152921504606846976", + "floor_float": 19.85662348607157 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1017251455225996168413/18446744073709551616", + "floor_float": 55.14531188600329 + }, + "r=[17/512,9/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1989792541024232387803/18446744073709551616", + "floor_float": 107.86686978869625 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1252785164203529360165/18446744073709551616", + "floor_float": 67.9136198343538 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "312302898414171828185/18446744073709551616", + "floor_float": 16.929974046708246 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "351987917937966715903/2305843009213693952", + "floor_float": 152.65042612679719 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "352187910528626279751/9223372036854775808", + "floor_float": 38.184289771826705 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1956852253952549922223/18446744073709551616", + "floor_float": 106.08117324842553 + }, + "r=[17/512,9/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1914633785928591910977/9223372036854775808", + "floor_float": 207.58501102179255 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "107053541767622406463/2305843009213693952", + "floor_float": 46.42707302268956 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "213528858253571666801/18446744073709551616", + "floor_float": 11.575422600343586 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1924568527982199772285/18446744073709551616", + "floor_float": 104.33106895677652 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "120392505123073633479/4611686018427387904", + "floor_float": 26.105963121081732 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1337596086879557010305/18446744073709551616", + "floor_float": 72.51122916514626 + }, + "r=[17/512,9/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1308421479220155924907/9223372036854775808", + "floor_float": 141.85934102971905 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "553960297376563825577/9223372036854775808", + "floor_float": 60.06049578863866 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "69051060254505195311/4611686018427387904", + "floor_float": 14.9730619080724 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2490100383465418723259/18446744073709551616", + "floor_float": 134.98861227300972 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "622945491950452622507/18446744073709551616", + "floor_float": 33.7699427856366 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "865255244923532314321/9223372036854775808", + "floor_float": 93.8111616300571 + }, + "r=[17/512,9/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1693038966534478498499/9223372036854775808", + "floor_float": 183.55965256192948 + }, + "r=[17/512,9/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1411330363410899108287/18446744073709551616", + "floor_float": 76.50837230524266 + }, + "r=[17/512,9/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "351808832896190131993/18446744073709551616", + "floor_float": 19.071595046281956 + }, + "r=[17/512,9/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1586245811846203563013/9223372036854775808", + "floor_float": 171.98111552996866 + }, + "r=[17/512,9/256],b=[7/8,1],k=[3/4,1]": { + "floor": "396747105949270663641/9223372036854775808", + "floor_float": 43.015407419753586 + }, + "r=[17/512,9/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "275571881377485248643/2305843009213693952", + "floor_float": 119.5102529861549 + }, + "r=[17/512,9/256],b=[7/8,1],k=[7/4,2]": { + "floor": "539293309879803536791/2305843009213693952", + "floor_float": 233.88119127143253 + }, + "r=[19/256,39/512],b=[0,1/8],k=[1,5/4]": { + "floor": "275245679398820144323/9223372036854775808", + "floor_float": 29.842196357144946 + }, + "r=[19/256,39/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "136229086973180037379/18446744073709551616", + "floor_float": 7.384993602601926 + }, + "r=[19/256,39/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1239675416805831768891/18446744073709551616", + "floor_float": 67.2029390038878 + }, + "r=[19/256,39/512],b=[0,1/8],k=[3/4,1]": { + "floor": "308804906187348817315/18446744073709551616", + "floor_float": 16.7403475081253 + }, + "r=[19/256,39/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "860907377559670410795/18446744073709551616", + "floor_float": 46.66988245294965 + }, + "r=[19/256,39/512],b=[0,1/8],k=[7/4,2]": { + "floor": "843209947291999814323/9223372036854775808", + "floor_float": 91.42100567153739 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "476723564415911702081/9223372036854775808", + "floor_float": 51.68647242147648 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "235971478534262839329/18446744073709551616", + "floor_float": 12.792039483573218 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "536893790412890841809/4611686018427387904", + "floor_float": 116.42028279192667 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "534833934951854896743/18446744073709551616", + "floor_float": 28.993405709688602 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "93201539337591490891/1152921504606846976", + "floor_float": 80.83944914304791 + }, + "r=[19/256,39/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1460962001133353912255/9223372036854775808", + "floor_float": 158.39781755475522 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "730576926291055578443/18446744073709551616", + "floor_float": 39.60465453262724 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "180818444668728978967/18446744073709551616", + "floor_float": 9.802187526764296 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1645376103019922697003/18446744073709551616", + "floor_float": 89.19601727249666 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "204915496360352731541/9223372036854775808", + "floor_float": 22.216982632983992 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "571291262811576030589/9223372036854775808", + "floor_float": 61.9395228262298 + }, + "r=[19/256,39/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1119244167125989930217/9223372036854775808", + "floor_float": 121.34869575397273 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "317755277640473864393/9223372036854775808", + "floor_float": 34.45109623365364 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78640764737838521277/9223372036854775808", + "floor_float": 8.526248797468597 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "715601015386136240613/9223372036854775808", + "floor_float": 77.58561755144818 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "356500590945244166481/18446744073709551616", + "floor_float": 19.325935759759993 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "7764726898958386307/144115188075855872", + "floor_float": 53.87861614468682 + }, + "r=[19/256,39/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "121690018564214781339/1152921504606846976", + "floor_float": 105.54926599769843 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "612319060208163035767/9223372036854775808", + "floor_float": 66.38776553319728 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "303085500381195089309/18446744073709551616", + "floor_float": 16.430297898107394 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1379372733279132490751/9223372036854775808", + "floor_float": 149.55189140885037 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "686936597997904483689/18446744073709551616", + "floor_float": 37.23890759545648 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "957738524625900466633/9223372036854775808", + "floor_float": 103.8382189072463 + }, + "r=[19/256,39/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1876877033954307905269/9223372036854775808", + "floor_float": 203.49141577014106 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "418149926663221981067/9223372036854775808", + "floor_float": 45.335905891291965 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "206978569129654282959/18446744073709551616", + "floor_float": 11.220330715415617 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1883572332109112607035/18446744073709551616", + "floor_float": 102.1086607253144 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "469128291347016044079/18446744073709551616", + "floor_float": 25.431495632642374 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1307951933260148005569/18446744073709551616", + "floor_float": 70.9042163773634 + }, + "r=[19/256,39/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1281319889593020200011/9223372036854775808", + "floor_float": 138.92098079456392 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "135333432517885198753/2305843009213693952", + "floor_float": 58.69152061832462 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "133975079408445794277/9223372036854775808", + "floor_float": 14.52560721535549 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "76212345359870003277/576460752303423488", + "floor_float": 132.20734465501857 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "607309924099173890299/18446744073709551616", + "floor_float": 32.92233695401656 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "423343905408604243807/4611686018427387904", + "floor_float": 91.79807639050132 + }, + "r=[19/256,39/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1659142169476419352703/9223372036854775808", + "floor_float": 179.88455446086468 + }, + "r=[19/256,39/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1380063697629594225687/18446744073709551616", + "floor_float": 74.81340295691922 + }, + "r=[19/256,39/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "170774791501393402701/9223372036854775808", + "floor_float": 18.515439995156978 + }, + "r=[19/256,39/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3109053003214009757445/18446744073709551616", + "floor_float": 168.54210102286058 + }, + "r=[19/256,39/512],b=[7/8,1],k=[3/4,1]": { + "floor": "387055834134540506659/9223372036854775808", + "floor_float": 41.96467762418579 + }, + "r=[19/256,39/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2158632264752905178807/18446744073709551616", + "floor_float": 117.01968955212021 + }, + "r=[19/256,39/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4230564074887006069259/18446744073709551616", + "floor_float": 229.33933804158102 + }, + "r=[19/512,5/128],b=[0,1/8],k=[1,5/4]": { + "floor": "70403682611533054505/2305843009213693952", + "floor_float": 30.532730255361628 + }, + "r=[19/512,5/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "140348845513226037729/18446744073709551616", + "floor_float": 7.608326160563606 + }, + "r=[19/512,5/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "316416861485390328737/4611686018427387904", + "floor_float": 68.61196972670102 + }, + "r=[19/512,5/128],b=[0,1/8],k=[3/4,1]": { + "floor": "158330710897664271647/9223372036854775808", + "floor_float": 17.166250072642192 + }, + "r=[19/512,5/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "879686321510781809229/18446744073709551616", + "floor_float": 47.68789104438858 + }, + "r=[19/512,5/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1720809685109396136859/18446744073709551616", + "floor_float": 93.28527995148521 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "974057834031503988721/18446744073709551616", + "floor_float": 52.80378098917408 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "242682150205371303351/18446744073709551616", + "floor_float": 13.155825723805854 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "34211525758530324195/288230376151711744", + "floor_float": 118.69507376461559 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "547576139769028323435/18446744073709551616", + "floor_float": 29.684162016940338 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "190195571790849148717/2305843009213693952", + "floor_float": 82.48418085310455 + }, + "r=[19/512,5/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1488710303402448200841/9223372036854775808", + "floor_float": 161.40629451504887 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "746908588714579848631/18446744073709551616", + "floor_float": 40.48999572662148 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "93053096239606495233/9223372036854775808", + "floor_float": 10.088836909948409 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1678675655026716541877/18446744073709551616", + "floor_float": 91.00118960392466 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "209953745591117775593/9223372036854775808", + "floor_float": 22.76323070913588 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1166651099991402605519/18446744073709551616", + "floor_float": 63.24428285716411 + }, + "r=[19/512,5/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2282531351018247647807/18446744073709551616", + "floor_float": 123.73627247701288 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "81247087512957754049/2305843009213693952", + "floor_float": 35.235307515867476 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "161962811107856981617/18446744073709551616", + "floor_float": 8.780021583249896 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "182589186533824509513/2305843009213693952", + "floor_float": 79.18543708493341 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "45678090225223837967/2305843009213693952", + "floor_float": 19.809713862870627 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "126901113590674821301/2305843009213693952", + "floor_float": 55.034585218335764 + }, + "r=[19/512,5/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1986084365960512984391/18446744073709551616", + "floor_float": 107.6658492156942 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1250300222457693240895/18446744073709551616", + "floor_float": 67.77891087238703 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "155738908736503034697/9223372036854775808", + "floor_float": 16.88524631926383 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "175681275689750679091/1152921504606846976", + "floor_float": 152.37921661428203 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "702827376752898478777/18446744073709551616", + "floor_float": 38.10034843788903 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "488304061742118659847/4611686018427387904", + "floor_float": 105.88406491486019 + }, + "r=[19/512,5/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3822680673900607728149/18446744073709551616", + "floor_float": 207.22793456806954 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "213663922463729194701/4611686018427387904", + "floor_float": 46.33097778338991 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "26617904599187508199/2305843009213693952", + "floor_float": 11.543675997380399 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "7503877703831305879/72057594037927936", + "floor_float": 104.13722250956084 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "480467358589608743181/18446744073709551616", + "floor_float": 26.046187699561283 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1334999287273044571775/18446744073709551616", + "floor_float": 72.37045637640175 + }, + "r=[19/512,5/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2612132513166124262313/18446744073709551616", + "floor_float": 141.60398727973663 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1105691153789543570007/18446744073709551616", + "floor_float": 59.93963755183135 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "275465277078239252589/18446744073709551616", + "floor_float": 14.933002592627421 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "155350563502554402343/1152921504606846976", + "floor_float": 134.74513475705345 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "310778553820426016431/9223372036854775808", + "floor_float": 33.694678321400914 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "431811761314828937337/4611686018427387904", + "floor_float": 93.63424994446592 + }, + "r=[19/512,5/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1690081940198998581187/9223372036854775808", + "floor_float": 183.23905112422707 + }, + "r=[19/512,5/128],b=[7/8,1],k=[1,5/4]": { + "floor": "352141801897342104519/4611686018427387904", + "floor_float": 76.35858132801168 + }, + "r=[19/512,5/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "5482652730404128313/288230376151711744", + "floor_float": 19.021772804120765 + }, + "r=[19/512,5/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3166931710468399970409/18446744073709551616", + "floor_float": 171.6797120301537 + }, + "r=[19/512,5/128],b=[7/8,1],k=[3/4,1]": { + "floor": "395885689747111372211/9223372036854775808", + "floor_float": 42.92201248797405 + }, + "r=[19/512,5/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2200533290786284001795/18446744073709551616", + "floor_float": 119.29114872485827 + }, + "r=[19/512,5/128],b=[7/8,1],k=[7/4,2]": { + "floor": "4307027741941570126251/18446744073709551616", + "floor_float": 233.48444173841935 + }, + "r=[21/256,43/512],b=[0,1/8],k=[1,5/4]": { + "floor": "547558669002781604447/18446744073709551616", + "floor_float": 29.683214924804354 + }, + "r=[21/256,43/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "135296915838098512581/18446744073709551616", + "floor_float": 7.334460504112743 + }, + "r=[21/256,43/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "616813731643191096767/9223372036854775808", + "floor_float": 66.87507878664387 + }, + "r=[21/256,43/512],b=[0,1/8],k=[3/4,1]": { + "floor": "307009109708174542967/18446744073709551616", + "floor_float": 16.64299718592217 + }, + "r=[21/256,43/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "856559057611662444055/18446744073709551616", + "floor_float": 46.43415955623504 + }, + "r=[21/256,43/512],b=[0,1/8],k=[7/4,2]": { + "floor": "419595832606795425855/4611686018427387904", + "floor_float": 90.98534265563033 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "948723326929949700407/18446744073709551616", + "floor_float": 51.430394607256346 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "117229026033969227137/9223372036854775808", + "floor_float": 12.70999647043892 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1068923784900293613325/9223372036854775808", + "floor_float": 115.89294898103263 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "66491644875857457115/2305843009213693952", + "floor_float": 28.836154330615724 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "742114814667371226185/9223372036854775808", + "floor_float": 80.46024942960413 + }, + "r=[21/256,43/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2909009054929121337677/18446744073709551616", + "floor_float": 157.69769685670786 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "363412075150954149255/9223372036854775808", + "floor_float": 39.40121613861299 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "44905932740266883221/4611686018427387904", + "floor_float": 9.73742196689706 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "818825392013309226503/9223372036854775808", + "floor_float": 88.77722689071247 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "203764925984992009621/9223372036854775808", + "floor_float": 22.092237542927634 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1137023823314321755231/18446744073709551616", + "floor_float": 61.6381849702581 + }, + "r=[21/256,43/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "557057362450198476953/4611686018427387904", + "floor_float": 120.79256051351005 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "632183830758114535597/18446744073709551616", + "floor_float": 34.270754135907815 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "2440977388241610437/288230376151711744", + "floor_float": 8.468841559422549 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "178043186253064915703/2305843009213693952", + "floor_float": 77.21392373272572 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "354462401361017347647/18446744073709551616", + "floor_float": 19.215445281002193 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "494477164743559904299/9223372036854775808", + "floor_float": 53.61132162594403 + }, + "r=[21/256,43/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "60560359820135422413/576460752303423488", + "floor_float": 105.05547789359149 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1218761124646496120923/18446744073709551616", + "floor_float": 66.0691729541304 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "37649182405621132833/2305843009213693952", + "floor_float": 16.327730142590983 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2746678009936060392139/18446744073709551616", + "floor_float": 148.89771327454193 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "341660563672820191641/9223372036854775808", + "floor_float": 37.04291253866937 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1906780619022886053959/18446744073709551616", + "floor_float": 103.3667844798934 + }, + "r=[21/256,43/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3737747038875314814347/18446744073709551616", + "floor_float": 202.62367298749388 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "6500606916483665721/144115188075855872", + "floor_float": 45.107021704485675 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "102816067399277241943/9223372036854775808", + "floor_float": 11.147340364071244 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "937443352231076565247/9223372036854775808", + "floor_float": 101.63781190710272 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "466543263506616042717/18446744073709551616", + "floor_float": 25.291360992617513 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1301700342101985618409/18446744073709551616", + "floor_float": 70.56531694160486 + }, + "r=[21/256,43/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "637777137951657116217/4611686018427387904", + "floor_float": 138.2958717057548 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "538696581979060727019/9223372036854775808", + "floor_float": 58.405600449221325 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "266255694897585187847/18446744073709551616", + "floor_float": 14.433750142229975 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2427958083169868425909/18446744073709551616", + "floor_float": 131.61987142382563 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "37754228233252945277/1152921504606846976", + "floor_float": 32.74657301680513 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1685575103400171346683/18446744073709551616", + "floor_float": 91.37520944969722 + }, + "r=[21/256,43/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1651940012493902709035/9223372036854775808", + "floor_float": 179.10369503616207 + }, + "r=[21/256,43/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1373533789683577833447/18446744073709551616", + "floor_float": 74.45941593785915 + }, + "r=[21/256,43/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "339445059034837434613/18446744073709551616", + "floor_float": 18.40135352225205 + }, + "r=[21/256,43/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1547838683168308878859/9223372036854775808", + "floor_float": 167.8170062948183 + }, + "r=[21/256,43/512],b=[7/8,1],k=[3/4,1]": { + "floor": "770091424233121241531/18446744073709551616", + "floor_float": 41.746739758300315 + }, + "r=[21/256,43/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "537247072697201541891/4611686018427387904", + "floor_float": 116.49688867595673 + }, + "r=[21/256,43/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4212829397363421710453/18446744073709551616", + "floor_float": 228.37793924661102 + }, + "r=[21/512,11/256],b=[0,1/8],k=[1,5/4]": { + "floor": "561981057758884427901/18446744073709551616", + "floor_float": 30.46505418589421 + }, + "r=[21/512,11/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "139939549943358555181/18446744073709551616", + "floor_float": 7.586138203261655 + }, + "r=[21/512,11/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "631570308483754127161/9223372036854775808", + "floor_float": 68.47499005354264 + }, + "r=[21/512,11/256],b=[0,1/8],k=[3/4,1]": { + "floor": "315887075188047301481/18446744073709551616", + "floor_float": 17.124272658948637 + }, + "r=[21/512,11/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "877853973456100377419/18446744073709551616", + "floor_float": 47.58855925730682 + }, + "r=[21/512,11/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1717477278313985903083/18446744073709551616", + "floor_float": 93.10462981712574 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "486015518596622026879/9223372036854775808", + "floor_float": 52.69390811241267 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "242013764920583757333/18446744073709551616", + "floor_float": 13.119592484914653 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "273180483437141892149/2305843009213693952", + "floor_float": 118.47314944927584 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "546316468985100357291/18446744073709551616", + "floor_float": 29.615875126912776 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1518593437552041454117/18446744073709551616", + "floor_float": 82.32311520580768 + }, + "r=[21/512,11/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1486012448221893724393/9223372036854775808", + "floor_float": 161.11379247026804 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "372653238224801797679/9223372036854775808", + "floor_float": 40.403145046708836 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "185579778188376580997/18446744073709551616", + "floor_float": 10.060299934060795 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1675431701322017038315/18446744073709551616", + "floor_float": 90.82533452122078 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "26182065474592574371/1152921504606846976", + "floor_float": 22.709321814168792 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1164298683494287463741/18446744073709551616", + "floor_float": 63.11675810332596 + }, + "r=[21/512,11/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1139127120524870399481/9223372036854775808", + "floor_float": 123.50440988102216 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "648558910297308087909/18446744073709551616", + "floor_float": 35.158448976458644 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "161498060523613000311/18446744073709551616", + "floor_float": 8.754827403594835 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "728922167935815273197/9223372036854775808", + "floor_float": 79.02989980488546 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "364545190026238738229/18446744073709551616", + "floor_float": 19.762034349779455 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "506564023766955012913/9223372036854775808", + "floor_float": 54.92178150711313 + }, + "r=[21/512,11/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1982300728806935035443/18446744073709551616", + "floor_float": 107.46073783460389 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1247774509022919147673/18446744073709551616", + "floor_float": 67.64199167273414 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "155320766959785715967/9223372036854775808", + "floor_float": 16.839911296991442 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1402903191639157628955/9223372036854775808", + "floor_float": 152.10306881620227 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "701255307607847804595/18446744073709551616", + "floor_float": 38.01512639877097 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "974758484975030479857/9223372036854775808", + "floor_float": 105.6835267058607 + }, + "r=[21/512,11/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "953992345163485739579/4611686018427387904", + "floor_float": 206.86411463215848 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "852852726238994622909/18446744073709551616", + "floor_float": 46.23323892992516 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "106174762662464389187/9223372036854775808", + "floor_float": 11.511490834177671 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1917349584536950152019/18446744073709551616", + "floor_float": 103.93972924845704 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "59918420319027222065/2305843009213693952", + "floor_float": 25.985472592715563 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "166544433912072416639/2305843009213693952", + "floor_float": 72.22713482513497 + }, + "r=[21/512,11/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2607330650311132509905/18446744073709551616", + "floor_float": 141.34367777276864 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "551712533228424541989/9223372036854775808", + "floor_float": 59.81679271137389 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "274716382116454758479/18446744073709551616", + "floor_float": 14.892404915400911 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2481036055402454980049/18446744073709551616", + "floor_float": 134.49723406411042 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "620147635325322675349/18446744073709551616", + "floor_float": 33.61827067407316 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "861963409450142128817/9223372036854775808", + "floor_float": 93.45426011288565 + }, + "r=[21/512,11/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "843534610783474856919/4611686018427387904", + "floor_float": 182.91241151563156 + }, + "r=[21/512,11/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1405759302192448551953/18446744073709551616", + "floor_float": 76.20636447143798 + }, + "r=[21/512,11/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "87489603717108178363/4611686018427387904", + "floor_float": 18.97128368399691 + }, + "r=[21/512,11/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3161272557353120368465/18446744073709551616", + "floor_float": 171.372928725053 + }, + "r=[21/512,11/256],b=[7/8,1],k=[3/4,1]": { + "floor": "790022635497689873919/18446744073709551616", + "floor_float": 42.827212885965956 + }, + "r=[21/512,11/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1098211216547448816847/9223372036854775808", + "floor_float": 119.06829868286928 + }, + "r=[21/512,11/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4299573579668772668739/18446744073709551616", + "floor_float": 233.08035079190802 + }, + "r=[23/256,47/512],b=[0,1/8],k=[1,5/4]": { + "floor": "272269367321653053843/9223372036854775808", + "floor_float": 29.519503955139005 + }, + "r=[23/256,47/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "134342563898731840331/18446744073709551616", + "floor_float": 7.282724981813888 + }, + "r=[23/256,47/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "613689399530457751697/9223372036854775808", + "floor_float": 66.5363380202247 + }, + "r=[23/256,47/512],b=[0,1/8],k=[3/4,1]": { + "floor": "152582122761419495481/9223372036854775808", + "floor_float": 16.542986898038095 + }, + "r=[23/256,47/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "852073246032410826891/18446744073709551616", + "floor_float": 46.19098322325578 + }, + "r=[23/256,47/512],b=[0,1/8],k=[7/4,2]": { + "floor": "104379299670357811005/1152921504606846976", + "floor_float": 90.53461077209394 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "235966289840418271033/4611686018427387904", + "floor_float": 51.16703281566514 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "232910109266723937575/18446744073709551616", + "floor_float": 12.626082323040915 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2127806366678762044979/18446744073709551616", + "floor_float": 115.34861426908009 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "528956620250380045601/18446744073709551616", + "floor_float": 28.6747958413026 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1477012794984520350761/18446744073709551616", + "floor_float": 80.06902405555519 + }, + "r=[23/256,47/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2895653249959977588551/18446744073709551616", + "floor_float": 156.97367721856597 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "90370264894776154543/2305843009213693952", + "floor_float": 39.191855010802726 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "178398932217399163417/18446744073709551616", + "floor_float": 9.67102549395992 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1629670504132642768899/18446744073709551616", + "floor_float": 88.34461505080793 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "101291875798105607763/4611686018427387904", + "floor_float": 21.964174359087597 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1131291755936586762705/18446744073709551616", + "floor_float": 61.32744897506942 + }, + "r=[23/256,47/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2217615111680981456251/18446744073709551616", + "floor_float": 120.21715609106023 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "314379648930375488787/9223372036854775808", + "floor_float": 34.08510983555433 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "155138748937187645781/18446744073709551616", + "floor_float": 8.410088431719105 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1417263155076574806467/18446744073709551616", + "floor_float": 76.82998958588414 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "176184631129719497597/9223372036854775808", + "floor_float": 19.101975982939912 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "983869029226860129727/18446744073709551616", + "floor_float": 53.3356469464483 + }, + "r=[23/256,47/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1928508808937600790553/18446744073709551616", + "floor_float": 104.54467201537896 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "37897193892289600285/576460752303423488", + "floor_float": 65.74115191859964 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "149629441393058934729/9223372036854775808", + "floor_float": 16.222856542614696 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1367113647409071651451/9223372036854775808", + "floor_float": 148.22275865554974 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "169903275796521373135/4611686018427387904", + "floor_float": 36.84190014619846 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1897821955897277327157/18446744073709551616", + "floor_float": 102.88113437872586 + }, + "r=[23/256,47/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3721208666913879101369/18446744073709551616", + "floor_float": 201.72712604699578 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "413866977265916226281/9223372036854775808", + "floor_float": 44.87154758717153 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "25531862786737949589/2305843009213693952", + "floor_float": 11.072680440393237 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "466479823081498325259/4611686018427387904", + "floor_float": 101.15168752112285 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "463890551336603316155/18446744073709551616", + "floor_float": 25.147557177732185 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "647628404801961291115/9223372036854775808", + "floor_float": 70.21601234496082 + }, + "r=[23/256,47/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2539184525798010339787/18446744073709551616", + "floor_float": 137.6494689605889 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "267992156114050259483/4611686018427387904", + "floor_float": 58.11153557358555 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "264522714279187018401/18446744073709551616", + "floor_float": 14.339805074662847 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "604189683774300827879/4611686018427387904", + "floor_float": 131.0127535482854 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "300370412774731466023/9223372036854775808", + "floor_float": 32.56622540807316 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "838765799738782434031/9223372036854775808", + "floor_float": 90.93917022833294 + }, + "r=[23/256,47/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "102780884629464056831/576460752303423488", + "floor_float": 178.29641344839507 + }, + "r=[23/256,47/512],b=[7/8,1],k=[1,5/4]": { + "floor": "341705415507557843611/4611686018427387904", + "floor_float": 74.09555076867125 + }, + "r=[23/256,47/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "168646057572278281881/9223372036854775808", + "floor_float": 18.284642200097956 + }, + "r=[23/256,47/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3081885388427970305009/18446744073709551616", + "floor_float": 167.0693416742469 + }, + "r=[23/256,47/512],b=[7/8,1],k=[3/4,1]": { + "floor": "765965169252264420267/18446744073709551616", + "floor_float": 41.52305502757661 + }, + "r=[23/256,47/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2139058672822890449357/18446744073709551616", + "floor_float": 115.95860300742689 + }, + "r=[23/256,47/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4194516591975746319957/18446744073709551616", + "floor_float": 227.38520007732993 + }, + "r=[23/512,3/64],b=[0,1/8],k=[1,5/4]": { + "floor": "140177723222340963925/4611686018427387904", + "floor_float": 30.396198410346763 + }, + "r=[23/512,3/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "34881106914655371341/4611686018427387904", + "floor_float": 7.563634379113701 + }, + "r=[23/512,3/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "78785355664170152419/1152921504606846976", + "floor_float": 68.33540301690914 + }, + "r=[23/512,3/64],b=[0,1/8],k=[3/4,1]": { + "floor": "157550115413716924337/9223372036854775808", + "floor_float": 17.081617740689385 + }, + "r=[23/512,3/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "875988023588294578109/18446744073709551616", + "floor_float": 47.48740591228562 + }, + "r=[23/512,3/64],b=[0,1/8],k=[7/4,2]": { + "floor": "428519875845801112893/4611686018427387904", + "floor_float": 92.92043606904724 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "242492650723291005193/4611686018427387904", + "floor_float": 52.58221174519215 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "120668160186734200967/9223372036854775808", + "floor_float": 13.082868142428607 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2181274787122570744603/18446744073709551616", + "floor_float": 118.24714314930738 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "68129683992171833795/2305843009213693952", + "floor_float": 29.546540558025438 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1515570081294648684217/18446744073709551616", + "floor_float": 82.15921873468453 + }, + "r=[23/512,3/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "370815760320627269923/2305843009213693952", + "floor_float": 160.81570117259528 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "92959687961808811833/2305843009213693952", + "floor_float": 40.314838256707084 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "46261544113871884459/4611686018427387904", + "floor_float": 10.03137332615878 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1672127037430576683173/18446744073709551616", + "floor_float": 90.64618833269908 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "417903204947567513985/18446744073709551616", + "floor_float": 22.654578134640385 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1161903411136720482533/18446744073709551616", + "floor_float": 62.98691012863753 + }, + "r=[23/512,3/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "568473530766742644977/4611686018427387904", + "floor_float": 123.26804741156153 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "647116342346428140591/18446744073709551616", + "floor_float": 35.08024721114354 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "40256613850772300899/4611686018427387904", + "floor_float": 8.729261638783475 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1454919638603590459973/18446744073709551616", + "floor_float": 78.87135164829189 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "363651439717059031075/18446744073709551616", + "floor_float": 19.71358404843584 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "252752218695092580629/4611686018427387904", + "floor_float": 54.80690092195014 + }, + "r=[23/512,3/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1978440983129708602373/18446744073709551616", + "floor_float": 107.25150060217936 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "155650935462374070909/2305843009213693952", + "floor_float": 67.50283295108281 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "309794059050102722681/18446744073709551616", + "floor_float": 16.793969592261202 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2800620254882600948761/18446744073709551616", + "floor_float": 151.82192823253115 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "349829730193612394591/9223372036854775808", + "floor_float": 37.928615347593244 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1945753731918500915345/18446744073709551616", + "floor_float": 105.47952116339083 + }, + "r=[23/512,3/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "476141517411583534407/2305843009213693952", + "floor_float": 206.4934670352734 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "851019852533432847917/18446744073709551616", + "floor_float": 46.133878647252075 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "211747689590135771409/18446744073709551616", + "floor_float": 11.478865253620572 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "956819646601457721931/9223372036854775808", + "floor_float": 103.7385939522113 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "478210083508408353837/18446744073709551616", + "floor_float": 25.92382057221454 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "41552045144661059817/576460752303423488", + "floor_float": 72.08130818729164 + }, + "r=[23/512,3/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "650608526366011482359/4611686018427387904", + "floor_float": 141.07823554472444 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1101122411233161114257/18446744073709551616", + "floor_float": 59.691965521573515 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "273957502883949744729/18446744073709551616", + "floor_float": 14.851265989774108 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2476381079810445538063/18446744073709551616", + "floor_float": 134.24488733162423 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "154679256697024684155/4611686018427387904", + "floor_float": 33.54071722987143 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "860274957736905144983/9223372036854775808", + "floor_float": 93.2711978113228 + }, + "r=[23/512,3/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3368000285540826427761/18446744073709551616", + "floor_float": 182.57966132575817 + }, + "r=[23/512,3/64],b=[7/8,1],k=[1,5/4]": { + "floor": "701453192070432784805/9223372036854775808", + "floor_float": 76.05170747396551 + }, + "r=[23/512,3/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "43626842357069561857/2305843009213693952", + "floor_float": 18.920126904886978 + }, + "r=[23/512,3/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "394439129118451844813/2305843009213693952", + "floor_float": 171.06070428140634 + }, + "r=[23/512,3/64],b=[7/8,1],k=[3/4,1]": { + "floor": "394123939354961150425/9223372036854775808", + "floor_float": 42.73100312771941 + }, + "r=[23/512,3/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2192241883376163374709/18446744073709551616", + "floor_float": 118.84167062850752 + }, + "r=[23/512,3/64],b=[7/8,1],k=[7/4,2]": { + "floor": "1072995571601395634365/4611686018427387904", + "floor_float": 232.66882595951176 + }, + "r=[25/256,51/512],b=[0,1/8],k=[1,5/4]": { + "floor": "541433533391929835599/18446744073709551616", + "floor_float": 29.351170658001664 + }, + "r=[25/256,51/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "66683354572656518869/9223372036854775808", + "floor_float": 7.229823789629539 + }, + "r=[25/256,51/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "305232180214503555657/4611686018427387904", + "floor_float": 66.18667858021035 + }, + "r=[25/256,51/512],b=[0,1/8],k=[3/4,1]": { + "floor": "303271857407845112197/18446744073709551616", + "floor_float": 16.44040033276499 + }, + "r=[25/256,51/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "847451186455688374989/18446744073709551616", + "floor_float": 45.94042087153378 + }, + "r=[25/256,51/512],b=[0,1/8],k=[7/4,2]": { + "floor": "830736166321304698265/9223372036854775808", + "floor_float": 90.06859562878378 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "938870611194836184467/18446744073709551616", + "floor_float": 50.896277817011736 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "231328413488268521679/18446744073709551616", + "floor_float": 12.54033842308029 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1058719308533535761681/9223372036854775808", + "floor_float": 114.78657743644105 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "525905129162247936641/18446744073709551616", + "floor_float": 28.509374177948953 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "734790157272362619663/9223372036854775808", + "floor_float": 79.6661084835661 + }, + "r=[25/256,51/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2881852952466774694131/18446744073709551616", + "floor_float": 156.2255615924121 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "179747341251104258945/4611686018427387904", + "floor_float": 38.97649157658811 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "177146083117575312133/18446744073709551616", + "floor_float": 9.603108408168644 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "50669842751470283045/576460752303423488", + "floor_float": 87.89816574502875 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "402743144474882755017/18446744073709551616", + "floor_float": 21.832749609665562 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "562692514579556912377/9223372036854775808", + "floor_float": 61.0072446748487 + }, + "r=[25/256,51/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "551661780589612137491/4611686018427387904", + "floor_float": 119.62258019849583 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "312618922823200740111/9223372036854775808", + "floor_float": 33.89421152849925 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "154030859755912768621/18446744073709551616", + "floor_float": 8.350029638858533 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1409952753190099441399/18446744073709551616", + "floor_float": 76.4336919055312 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "350222165923073265981/18446744073709551616", + "floor_float": 18.985581657318743 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "978629221509312950729/18446744073709551616", + "floor_float": 53.05159640090975 + }, + "r=[25/256,51/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "479691886918197675693/4611686018427387904", + "floor_float": 104.01659718407618 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "603246870663944560311/9223372036854775808", + "floor_float": 65.40415677189308 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "148641043063954131637/9223372036854775808", + "floor_float": 16.11569418104505 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2721395362266400243053/18446744073709551616", + "floor_float": 147.52713819806038 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "21118969905365264877/576460752303423488", + "floor_float": 36.635572883284816 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "944301266452660559931/9223372036854775808", + "floor_float": 102.38134845687878 + }, + "r=[25/256,51/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3704113987135326952243/18446744073709551616", + "floor_float": 200.80042159930326 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "102908556064489621439/2305843009213693952", + "floor_float": 44.62947202098639 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "25355917992816966331/2305843009213693952", + "floor_float": 10.996376549270579 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1856668846732620258963/18446744073709551616", + "floor_float": 100.65021986068315 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "115290836396620020415/4611686018427387904", + "floor_float": 24.99971505777726 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "40269379653132070425/576460752303423488", + "floor_float": 69.85623824731097 + }, + "r=[25/256,51/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "315857265232311613551/2305843009213693952", + "floor_float": 136.98125326408098 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1066391274925913583339/18446744073709551616", + "floor_float": 57.809186849713114 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "131375725703622896965/9223372036854775808", + "floor_float": 14.243784721972768 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2405200249751020364639/18446744073709551616", + "floor_float": 130.3861668021367 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "597329697145601942149/18446744073709551616", + "floor_float": 32.3813077667685 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "834622857431693857981/9223372036854775808", + "floor_float": 90.4899915233502 + }, + "r=[25/256,51/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1636805250353877589549/9223372036854775808", + "floor_float": 177.4627808369354 + }, + "r=[25/256,51/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1359925373634138840095/18446744073709551616", + "floor_float": 73.72170222561473 + }, + "r=[25/256,51/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "335086345400417709619/18446744073709551616", + "floor_float": 18.16506718266805 + }, + "r=[25/256,51/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3067666488784428929921/18446744073709551616", + "floor_float": 166.29853358005286 + }, + "r=[25/256,51/512],b=[7/8,1],k=[3/4,1]": { + "floor": "761735014821672047005/18446744073709551616", + "floor_float": 41.293737896396735 + }, + "r=[25/256,51/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2128837952205887701867/18446744073709551616", + "floor_float": 115.40453663256079 + }, + "r=[25/256,51/512],b=[7/8,1],k=[7/4,2]": { + "floor": "521951379718735953583/2305843009213693952", + "floor_float": 226.36032792914398 + }, + "r=[25/512,13/256],b=[0,1/8],k=[1,5/4]": { + "floor": "139854792204889274825/4611686018427387904", + "floor_float": 30.32617390820995 + }, + "r=[25/512,13/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "139103636150879149967/18446744073709551616", + "floor_float": 7.540823225770816 + }, + "r=[25/512,13/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1257941258519464612019/18446744073709551616", + "floor_float": 68.19313226729766 + }, + "r=[25/512,13/256],b=[0,1/8],k=[3/4,1]": { + "floor": "157150585596049430571/9223372036854775808", + "floor_float": 17.0383006310606 + }, + "r=[25/512,13/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "218522040307275470731/4611686018427387904", + "floor_float": 47.384414167422605 + }, + "r=[25/512,13/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1710613163776880999103/18446744073709551616", + "floor_float": 92.73252542245982 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "241969080599494584523/4611686018427387904", + "floor_float": 52.46868057205843 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "30081225514154923341/2305843009213693952", + "floor_float": 13.04565202138926 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2177029716534023428577/18446744073709551616", + "floor_float": 118.0170174115845 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "543739067052062022341/18446744073709551616", + "floor_float": 29.47615388815435 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "756247049101602445747/9223372036854775808", + "floor_float": 81.99246935717093 + }, + "r=[25/512,13/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2960923092340066509239/18446744073709551616", + "floor_float": 160.5119624638799 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "2898515165178945537/72057594037927936", + "floor_float": 40.22497842008568 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "23063169846656593843/2305843009213693952", + "floor_float": 10.002055540858903 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1668760771772723507017/18446744073709551616", + "floor_float": 90.46370270572869 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "208438896755638353225/9223372036854775808", + "floor_float": 22.598990469294485 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "72466588412495983587/1152921504606846976", + "floor_float": 62.854746071552825 + }, + "r=[25/512,13/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2269449669248873600827/18446744073709551616", + "floor_float": 123.02711308730692 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "645648855312619531795/18446744073709551616", + "floor_float": 35.00069457963606 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "160548193726029601285/18446744073709551616", + "floor_float": 8.703335021319246 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "725969482039214226159/9223372036854775808", + "floor_float": 78.70976895850924 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "362743397510947316879/18446744073709551616", + "floor_float": 19.6643589818071 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1008850888870183730683/18446744073709551616", + "floor_float": 54.68991627134927 + }, + "r=[25/512,13/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1974504313263858728669/18446744073709551616", + "floor_float": 107.03809330113373 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1242598825464136105583/18446744073709551616", + "floor_float": 67.36141730480763 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "308935318986494213159/18446744073709551616", + "floor_float": 16.747417200132965 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1397670495502241020165/9223372036854775808", + "floor_float": 151.53573876424213 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "349019868993116059463/9223372036854775808", + "floor_float": 37.840810020294256 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1941925948507326946897/18446744073709551616", + "floor_float": 105.27201660888089 + }, + "r=[25/512,13/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1901083674791619479783/9223372036854775808", + "floor_float": 206.11590502858002 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "849156378553595480381/18446744073709551616", + "floor_float": 46.03285952038658 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "105568913521155416753/9223372036854775808", + "floor_float": 11.445804538657105 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1909859715234361070571/18446744073709551616", + "floor_float": 103.53370261998205 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "477055426040577014709/18446744073709551616", + "floor_float": 25.861226465459573 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "663463738523911183941/9223372036854775808", + "floor_float": 71.93288266729792 + }, + "r=[25/512,13/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2597439003741579018281/18446744073709551616", + "floor_float": 140.80745053776022 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "137347769286338687417/2305843009213693952", + "floor_float": 59.5650999385145 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "34148569096412941101/2305843009213693952", + "floor_float": 14.809581120640908 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2471642534147956824069/18446744073709551616", + "floor_float": 133.9880102565396 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "617264860440294988183/18446744073709551616", + "floor_float": 33.461995134416476 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1717114788512967226809/18446744073709551616", + "floor_float": 93.08497920563732 + }, + "r=[25/512,13/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3361748201418602229323/18446744073709551616", + "floor_float": 182.2407351663643 + }, + "r=[25/512,13/256],b=[7/8,1],k=[1,5/4]": { + "floor": "700004077246859042835/9223372036854775808", + "floor_float": 75.89459412997554 + }, + "r=[25/512,13/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "348058721642877876861/18446744073709551616", + "floor_float": 18.868301107886783 + }, + "r=[25/512,13/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3149652619979352970987/18446744073709551616", + "floor_float": 170.74301065781378 + }, + "r=[25/512,13/256],b=[7/8,1],k=[3/4,1]": { + "floor": "786446985626727537237/18446744073709551616", + "floor_float": 42.63337651805871 + }, + "r=[25/512,13/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1093995602286242436777/9223372036854775808", + "floor_float": 118.61124086883319 + }, + "r=[25/512,13/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1071063160371796881117/4611686018427387904", + "floor_float": 232.2498010688585 + }, + "r=[27/256,55/512],b=[0,1/8],k=[1,5/4]": { + "floor": "33640054412626607003/1152921504606846976", + "floor_float": 29.17809606136028 + }, + "r=[27/256,55/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "132369266012824695347/18446744073709551616", + "floor_float": 7.175752289070809 + }, + "r=[27/256,55/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "303568301090419704579/4611686018427387904", + "floor_float": 65.82588230799335 + }, + "r=[27/256,55/512],b=[0,1/8],k=[3/4,1]": { + "floor": "301330997402449898457/18446744073709551616", + "floor_float": 16.335186101048002 + }, + "r=[27/256,55/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "105336217325902907847/2305843009213693952", + "floor_float": 45.682302266459665 + }, + "r=[27/256,55/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1652589110965044350535/18446744073709551616", + "floor_float": 89.58703521670947 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "933731354829368923287/18446744073709551616", + "floor_float": 50.61767817119176 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "229712724080978923159/18446744073709551616", + "floor_float": 12.45275172480803 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2106754649298832156253/18446744073709551616", + "floor_float": 114.20739838318654 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "130694579407610754523/4611686018427387904", + "floor_float": 28.33986938516217 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "365480769764347144865/4611686018427387904", + "floor_float": 79.25100891603593 + }, + "r=[27/256,55/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "716903375557085998987/4611686018427387904", + "floor_float": 155.45363944823683 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "357454940813149426985/9223372036854775808", + "floor_float": 38.7553423395294 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "175866397581404690141/18446744073709551616", + "floor_float": 9.533736516247922 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "201618205274169499347/2305843009213693952", + "floor_float": 87.43795846835319 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "200129536597282606493/9223372036854775808", + "floor_float": 21.69808783572911 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1119307266853750199419/18446744073709551616", + "floor_float": 60.67776852008241 + }, + "r=[27/256,55/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1097659010998658062859/9223372036854775808", + "floor_float": 119.00842843730352 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "155404811401180919683/4611686018427387904", + "floor_float": 33.698046827172085 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "152898532296425077441/18446744073709551616", + "floor_float": 8.288646044281457 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1402416413210003285829/18446744073709551616", + "floor_float": 76.02514609658073 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "21751295063451154705/1152921504606846976", + "floor_float": 18.866241089733577 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "973235444158135520449/18446744073709551616", + "floor_float": 52.75919914480727 + }, + "r=[27/256,55/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1908711935105744939087/18446744073709551616", + "floor_float": 103.471481334533 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1200109600804617834401/18446744073709551616", + "floor_float": 65.05807182065391 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "147631639280148470905/9223372036854775808", + "floor_float": 16.00625440351333 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2708165530842162814941/18446744073709551616", + "floor_float": 146.80994759947163 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "41994026096496584035/1152921504606846976", + "floor_float": 36.42401146018765 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1879116840335598596253/18446744073709551616", + "floor_float": 101.86712803229764 + }, + "r=[27/256,55/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3686471682178549587031/18446744073709551616", + "floor_float": 199.8440303312138 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "409339718340597502149/9223372036854775808", + "floor_float": 44.38070119094803 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "201409459394506075717/18446744073709551616", + "floor_float": 10.918428671732723 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "115445181232226008263/1152921504606846976", + "floor_float": 100.13273303596978 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "458367269612740418097/18446744073709551616", + "floor_float": 24.848139475519105 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1281787486618671729969/18446744073709551616", + "floor_float": 69.48583888283491 + }, + "r=[27/256,55/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "314265921732383185225/2305843009213693952", + "floor_float": 136.29111803216375 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1060659273147290777017/18446744073709551616", + "floor_float": 57.498454410659434 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "65235704499446378387/4611686018427387904", + "floor_float": 14.145738508384431 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2393289408569348935613/18446744073709551616", + "floor_float": 129.7404788078718 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "148458996023301298865/4611686018427387904", + "floor_float": 32.19191320269603 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "103794473119366755931/1152921504606846976", + "floor_float": 90.02735459840459 + }, + "r=[27/256,55/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3257739916061638665721/18446744073709551616", + "floor_float": 176.60243471933867 + }, + "r=[27/256,55/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1352844994363933862229/18446744073709551616", + "floor_float": 73.33787409627585 + }, + "r=[27/256,55/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "83208228889425289875/4611686018427387904", + "floor_float": 18.042908506117204 + }, + "r=[27/256,55/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3053023348344731542175/18446744073709551616", + "floor_float": 165.50472734621636 + }, + "r=[27/256,55/512],b=[7/8,1],k=[3/4,1]": { + "floor": "378700452715499505853/9223372036854775808", + "floor_float": 41.05878535553886 + }, + "r=[27/256,55/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2118327123811857470781/18446744073709551616", + "floor_float": 114.8347434835893 + }, + "r=[27/256,55/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4156116193874316613959/18446744073709551616", + "floor_float": 225.303510325036 + }, + "r=[27/512,7/128],b=[0,1/8],k=[1,5/4]": { + "floor": "139526296448146605861/4611686018427387904", + "floor_float": 30.254942745587414 + }, + "r=[27/512,7/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "17334624194041785027/2305843009213693952", + "floor_float": 7.517694884159956 + }, + "r=[27/512,7/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1255267603127200264709/18446744073709551616", + "floor_float": 68.04819311805913 + }, + "r=[27/512,7/128],b=[0,1/8],k=[3/4,1]": { + "floor": "313489421830849580693/18446744073709551616", + "floor_float": 16.99429561001159 + }, + "r=[27/512,7/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "436076953030612119359/9223372036854775808", + "floor_float": 47.27955798466489 + }, + "r=[27/512,7/128],b=[0,1/8],k=[7/4,2]": { + "floor": "426769988584622682837/4611686018427387904", + "floor_float": 92.54098975501236 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "120718553716766632587/2305843009213693952", + "floor_float": 52.35332727961058 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "239954311617328110329/18446744073709551616", + "floor_float": 13.007949297638543 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1086354491472922467443/9223372036854775808", + "floor_float": 117.78278997443279 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "135605354717490125679/4611686018427387904", + "floor_float": 29.404724037074047 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "754682890236549893733/9223372036854775808", + "floor_float": 81.82288291321069 + }, + "r=[27/512,7/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1477608126468470151341/9223372036854775808", + "floor_float": 160.20259407993512 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "740334318535460032279/18446744073709551616", + "floor_float": 40.13360382608606 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "183957482427091439537/18446744073709551616", + "floor_float": 9.972355104620828 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1665332998605003602439/18446744073709551616", + "floor_float": 90.27788274996722 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "103959307255407379927/4611686018427387904", + "floor_float": 22.54258135528015 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1156985116425521646875/18446744073709551616", + "floor_float": 62.72028883809724 + }, + "r=[27/512,7/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2264920321029682023315/18446744073709551616", + "floor_float": 122.78157662834737 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "644156589036620231159/18446744073709551616", + "floor_float": 34.919798662717795 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "160063346691127033867/18446744073709551616", + "floor_float": 8.677051410891021 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1448902369563482840733/18446744073709551616", + "floor_float": 78.54515484000616 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "180910602840494389955/9223372036854775808", + "floor_float": 19.614366862532627 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1006654248222108647851/18446744073709551616", + "floor_float": 54.57083614320862 + }, + "r=[27/512,7/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1970490956332342322599/18446744073709551616", + "floor_float": 106.82052878592825 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "619974394471215740687/9223372036854775808", + "floor_float": 67.21775853710773 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "308065433900491166351/18446744073709551616", + "floor_float": 16.700260635130103 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "10898316224510058801/72057594037927936", + "floor_float": 151.24452002621217 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "348198143478092379373/9223372036854775808", + "floor_float": 37.751718361436716 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1938033869016249350585/18446744073709551616", + "floor_float": 105.06102655689526 + }, + "r=[27/512,7/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3795075244633449935207/18446744073709551616", + "floor_float": 205.7314412488772 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "423631132226507814555/9223372036854775808", + "floor_float": 45.93017938924738 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "210519830188522605705/18446744073709551616", + "floor_float": 11.412302862083784 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "953003873424517357767/9223372036854775808", + "floor_float": 103.32488699539624 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "475883266829982266637/18446744073709551616", + "floor_float": 25.797683587328287 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1324141725703127289589/18446744073709551616", + "floor_float": 71.78186678430177 + }, + "r=[27/512,7/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1296174270327670281177/9223372036854775808", + "floor_float": 140.53149598090735 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "548202690534791657367/9223372036854775808", + "floor_float": 59.43625480402198 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "136204867554875651453/9223372036854775808", + "floor_float": 14.767361330609658 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2466820879728878418901/18446744073709551616", + "floor_float": 133.72662784673267 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "615791728883750286661/18446744073709551616", + "floor_float": 33.38213651271834 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "428405626567029122081/4611686018427387904", + "floor_float": 92.89566220579734 + }, + "r=[27/512,7/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3355381381148692353765/18446744073709551616", + "floor_float": 181.89558914794122 + }, + "r=[27/512,7/128],b=[7/8,1],k=[1,5/4]": { + "floor": "698532369664924161833/9223372036854775808", + "floor_float": 75.73503127421583 + }, + "r=[27/512,7/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "347090453113157384029/18446744073709551616", + "floor_float": 18.815811165713168 + }, + "r=[27/512,7/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3143691175811768544585/18446744073709551616", + "floor_float": 170.41984012193146 + }, + "r=[27/512,7/128],b=[7/8,1],k=[3/4,1]": { + "floor": "98077508720591149751/2305843009213693952", + "floor_float": 42.53433921073237 + }, + "r=[27/512,7/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2183670447440212677291/18446744073709551616", + "floor_float": 118.37701215535361 + }, + "r=[27/512,7/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2138189878387361138487/9223372036854775808", + "floor_float": 231.82301113340935 + }, + "r=[29/256,59/512],b=[0,1/8],k=[1,5/4]": { + "floor": "66870357470508229407/2305843009213693952", + "floor_float": 29.00039473776292 + }, + "r=[29/256,59/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "131351333557211061475/18446744073709551616", + "floor_float": 7.120570060079818 + }, + "r=[29/256,59/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1207413768719303011895/18446744073709551616", + "floor_float": 65.45403155671893 + }, + "r=[29/256,59/512],b=[0,1/8],k=[3/4,1]": { + "floor": "74835820684775198221/4611686018427387904", + "floor_float": 16.227431873233783 + }, + "r=[29/256,59/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "52361942972369228533/1152921504606846976", + "floor_float": 45.41674586096385 + }, + "r=[29/256,59/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1643419033737121682475/18446744073709551616", + "floor_float": 89.0899243340908 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "116056710458872458617/2305843009213693952", + "floor_float": 50.331575044412276 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "228064401236207209025/18446744073709551616", + "floor_float": 12.36339596434508 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2095751950422616057897/18446744073709551616", + "floor_float": 113.61094088194668 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "32473642899698630279/1152921504606846976", + "floor_float": 28.166395344297385 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1454050190918811835787/18446744073709551616", + "floor_float": 78.82421879485692 + }, + "r=[29/256,59/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "178307957126479252219/1152921504606846976", + "floor_float": 154.6574995903848 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "355360648403621853707/9223372036854775808", + "floor_float": 38.52827870150643 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "21819983638182973723/2305843009213693952", + "floor_float": 9.462909465646456 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1604197353485114806435/18446744073709551616", + "floor_float": 86.96371278720291 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "397714693201830601319/18446744073709551616", + "floor_float": 21.56015671994153 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "556527803430240176733/9223372036854775808", + "floor_float": 60.33886535276522 + }, + "r=[29/256,59/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2183623285320650549083/18446744073709551616", + "floor_float": 118.3744554917292 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "154476154406191693643/4611686018427387904", + "floor_float": 33.49667644087985 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "75871426909022733383/9223372036854775808", + "floor_float": 8.22599658843376 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "697325248825395871221/9223372036854775808", + "floor_float": 75.60415497054892 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "86441590919336750317/4611686018427387904", + "floor_float": 18.744032133569632 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "967687274626835514463/18446744073709551616", + "floor_float": 52.4584322718496 + }, + "r=[29/256,59/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1898331719280733928943/18446744073709551616", + "floor_float": 102.90876870711573 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1193561843657739791413/18446744073709551616", + "floor_float": 64.70311719447628 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "293197057204853450567/18446744073709551616", + "floor_float": 15.894244319392941 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2694532945897505297675/18446744073709551616", + "floor_float": 146.07092368879208 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "333954780527082268935/9223372036854775808", + "floor_float": 36.20744985593824 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "934685515383006783553/9223372036854775808", + "floor_float": 101.33880663689894 + }, + "r=[29/256,59/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3668288830363133826913/18446744073709551616", + "floor_float": 198.85833595920099 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "406985444978981371433/9223372036854775808", + "floor_float": 44.12545036161913 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "199942185804222987423/18446744073709551616", + "floor_float": 10.838887611021947 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "459322348579606548367/4611686018427387904", + "floor_float": 99.59965764023072 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "455504841819211049837/18446744073709551616", + "floor_float": 24.692966953902733 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "637380163293282488641/9223372036854775808", + "floor_float": 69.10489577417424 + }, + "r=[29/256,59/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "312624609263213245567/2305843009213693952", + "floor_float": 135.5793122142431 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "131847152002370236575/2305843009213693952", + "floor_float": 57.179587454798536 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "64774263184338453429/4611686018427387904", + "floor_float": 14.045679373121516 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "148814074565284119849/1152921504606846976", + "floor_float": 129.07563435208073 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "590253992086821230817/18446744073709551616", + "floor_float": 31.997733026938665 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "206491392707044456693/2305843009213693952", + "floor_float": 89.55136662901401 + }, + "r=[29/256,59/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3241377068385812339221/18446744073709551616", + "floor_float": 175.71540296942965 + }, + "r=[29/256,59/512],b=[7/8,1],k=[1,5/4]": { + "floor": "168197879360070644795/2305843009213693952", + "floor_float": 72.94420248385735 + }, + "r=[29/256,59/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "330533048644374566669/18446744073709551616", + "floor_float": 17.91823247092439 + }, + "r=[29/256,59/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3037953952220324065931/18446744073709551616", + "floor_float": 164.68781374540998 + }, + "r=[29/256,59/512],b=[7/8,1],k=[3/4,1]": { + "floor": "752965041502910396347/18446744073709551616", + "floor_float": 40.818316690154674 + }, + "r=[29/256,59/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2107527416819440261649/18446744073709551616", + "floor_float": 114.24929019442001 + }, + "r=[29/256,59/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4135991112883831804049/18446744073709551616", + "floor_float": 224.21252749846948 + }, + "r=[29/512,15/256],b=[0,1/8],k=[1,5/4]": { + "floor": "34798138093224664003/1152921504606846976", + "floor_float": 30.182573535299817 + }, + "r=[29/512,15/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "34561168305424784727/4611686018427387904", + "floor_float": 7.494258752075742 + }, + "r=[29/512,15/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1252545238071042007729/18446744073709551616", + "floor_float": 67.90061341264986 + }, + "r=[29/512,15/256],b=[0,1/8],k=[3/4,1]": { + "floor": "312665561794484095119/18446744073709551616", + "floor_float": 16.94963406794902 + }, + "r=[29/512,15/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "870186513367639412081/18446744073709551616", + "floor_float": 47.172905413039054 + }, + "r=[29/512,15/256],b=[0,1/8],k=[7/4,2]": { + "floor": "851739419777114188505/9223372036854775808", + "floor_float": 92.34577293138902 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "963586940677758086813/18446744073709551616", + "floor_float": 52.23615272307431 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "119624966697667171891/9223372036854775808", + "floor_float": 12.969764877711686 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2168312372284734555961/18446744073709551616", + "floor_float": 117.54444923291535 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "541084625607044235861/18446744073709551616", + "floor_float": 29.332256329083158 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1506185034014751262393/18446744073709551616", + "floor_float": 81.65045430219733 + }, + "r=[29/512,15/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2949405176079037716617/18446744073709551616", + "floor_float": 159.8875749722442 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "369310699103215023603/9223372036854775808", + "floor_float": 40.04074622898462 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "22925303161975197517/2305843009213693952", + "floor_float": 9.942265397240925 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1661844276498316739267/18446744073709551616", + "floor_float": 90.08875874560381 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "25923822729513844469/1152921504606846976", + "floor_float": 22.485331937974408 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "577231221117900619431/9223372036854775808", + "floor_float": 62.583534396248844 + }, + "r=[29/512,15/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2260307741844400641217/18446744073709551616", + "floor_float": 122.5315282096752 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "642639660001023549505/18446744073709551616", + "floor_float": 34.83756577492278 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "79785991630645008323/9223372036854775808", + "floor_float": 8.650414545985559 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "361452501750758743687/4611686018427387904", + "floor_float": 78.37751752969865 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "90221277584968613553/4611686018427387904", + "floor_float": 19.563621032408143 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1004419111580535110175/18446744073709551616", + "floor_float": 54.44966914307882 + }, + "r=[29/512,15/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "245800115816238893199/2305843009213693952", + "floor_float": 106.59880782606193 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1237257561407650283189/18446744073709551616", + "floor_float": 67.07186680011459 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "76796123611570464401/4611686018427387904", + "floor_float": 16.65250481162601 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2784504087351362552105/18446744073709551616", + "floor_float": 150.9482690400557 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "347364611956669938905/9223372036854775808", + "floor_float": 37.66134669280058 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1934077631642285606091/18446744073709551616", + "floor_float": 104.84655849910926 + }, + "r=[29/512,15/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3787855623355058749507/18446744073709551616", + "floor_float": 205.34006479514946 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "845337648529979826497/18446744073709551616", + "floor_float": 45.8258457509996 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "209893764919380191489/18446744073709551616", + "floor_float": 11.378363795837688 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1902085892673837692355/18446744073709551616", + "floor_float": 103.11228285455024 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "474693698535936655219/18446744073709551616", + "floor_float": 25.73319696089208 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "660654363320640275795/9223372036854775808", + "floor_float": 71.6282895974266 + }, + "r=[29/512,15/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "646791033008165919635/4611686018427387904", + "floor_float": 140.2504486263194 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "273497774675946939105/4611686018427387904", + "floor_float": 59.30537629472253 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "33952626601418915117/2305843009213693952", + "floor_float": 14.724604609139007 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1230957283802870367769/9223372036854775808", + "floor_float": 133.46065613359278 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "614297214311735102653/18446744073709551616", + "floor_float": 33.301118715428835 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1710071747432176984473/18446744073709551616", + "floor_float": 92.70317518360245 + }, + "r=[29/512,15/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "837224720547389977277/4611686018427387904", + "floor_float": 181.54417217520992 + }, + "r=[29/512,15/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1394076553497980913063/18446744073709551616", + "floor_float": 75.57304139568078 + }, + "r=[29/512,15/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "346110145652131046645/18446744073709551616", + "floor_float": 18.762668591765742 + }, + "r=[29/512,15/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1568812608420738483737/9223372036854775808", + "floor_float": 170.09100382724156 + }, + "r=[29/512,15/256],b=[7/8,1],k=[3/4,1]": { + "floor": "782767513235664375383/18446744073709551616", + "floor_float": 42.43391192005916 + }, + "r=[29/512,15/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2179279863791032599401/18446744073709551616", + "floor_float": 118.1389981388076 + }, + "r=[29/512,15/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2134183253408819867327/9223372036854775808", + "floor_float": 231.38861198280244 + }, + "r=[3/128,13/512],b=[0,1/8],k=[1,5/4]": { + "floor": "283715317058303586223/9223372036854775808", + "floor_float": 30.760476312202645 + }, + "r=[3/128,13/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "141735810992730674467/18446744073709551616", + "floor_float": 7.683513709865672 + }, + "r=[3/128,13/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "159266809568352542297/2305843009213693952", + "floor_float": 69.07096837553718 + }, + "r=[3/128,13/512],b=[0,1/8],k=[3/4,1]": { + "floor": "19954669019413514297/1152921504606846976", + "floor_float": 17.30791640166186 + }, + "r=[3/128,13/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "885838378732962278417/18446744073709551616", + "floor_float": 48.02139473466574 + }, + "r=[3/128,13/512],b=[0,1/8],k=[7/4,2]": { + "floor": "432989186338267119601/4611686018427387904", + "floor_float": 93.88956329813603 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "980887544756137336457/18446744073709551616", + "floor_float": 53.17402034942883 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "244949756639808119283/18446744073709551616", + "floor_float": 13.27875291493378 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2203278213202581535819/18446744073709551616", + "floor_float": 119.43995126721097 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "551832699987767532749/18446744073709551616", + "floor_float": 29.914910608763957 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "765777435635537328559/9223372036854775808", + "floor_float": 83.0257559356428 + }, + "r=[3/128,13/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2995502985619421419561/18446744073709551616", + "floor_float": 162.38654223476956 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "188075951704820104357/4611686018427387904", + "floor_float": 40.78247108612895 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "187891455896640414095/18446744073709551616", + "floor_float": 10.185616233730094 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "844773464307402384385/9223372036854775808", + "floor_float": 91.59052252601914 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "423266034743448084745/18446744073709551616", + "floor_float": 22.945297720408572 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "587274350773576475463/9223372036854775808", + "floor_float": 63.67241269537258 + }, + "r=[3/128,13/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2296846250745524957339/18446744073709551616", + "floor_float": 124.51228474617419 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "20460769025117431751/576460752303423488", + "floor_float": 35.493776364410294 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "20441996560844397915/2305843009213693952", + "floor_float": 8.865302832483483 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "735161107927720118757/9223372036854775808", + "floor_float": 79.70632703420846 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "184195056409797921681/9223372036854775808", + "floor_float": 19.970468032059294 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1022190422387757101339/18446744073709551616", + "floor_float": 55.413053832334086 + }, + "r=[3/128,13/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "999367554027410384773/9223372036854775808", + "floor_float": 108.35164731880431 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1258818232778977249945/18446744073709551616", + "floor_float": 68.24067313716652 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "39289549193434508751/2305843009213693952", + "floor_float": 17.039125836599116 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2828015052243491844035/18446744073709551616", + "floor_float": 153.30700317320506 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "708143069661986731795/18446744073709551616", + "floor_float": 38.38851272790399 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "982833090455799141129/9223372036854775808", + "floor_float": 106.55897718628198 + }, + "r=[3/128,13/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1922597647838061642643/9223372036854775808", + "floor_float": 208.4484546601547 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "860729928671649516801/18446744073709551616", + "floor_float": 46.66026292945478 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "214957470516997985679/18446744073709551616", + "floor_float": 11.652867826325899 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1933217614369400491937/18446744073709551616", + "floor_float": 104.79993686932741 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "30265721183787787847/1152921504606846976", + "floor_float": 26.251328527442617 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1343886483945114604439/18446744073709551616", + "floor_float": 72.85223227335996 + }, + "r=[3/128,13/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "328527690086302849161/2305843009213693952", + "floor_float": 142.47617412528564 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "278333438400991674433/4611686018427387904", + "floor_float": 60.3539437179431 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "278007615163322771665/18446744073709551616", + "floor_float": 15.07082301637943 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1250486877724325411535/9223372036854775808", + "floor_float": 135.5780589493329 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "626323550136349896761/18446744073709551616", + "floor_float": 33.953067686833215 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1738421571876648660695/18446744073709551616", + "floor_float": 94.2400222462164 + }, + "r=[3/128,13/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "850094796567726806517/4611686018427387904", + "floor_float": 184.33492505147046 + }, + "r=[3/128,13/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1418041800390259050607/18446744073709551616", + "floor_float": 76.87220003291874 + }, + "r=[3/128,13/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "88513034895258823789/4611686018427387904", + "floor_float": 19.193204945344977 + }, + "r=[3/128,13/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "398244756264608042731/2305843009213693952", + "floor_float": 172.7111319692193 + }, + "r=[3/128,13/512],b=[7/8,1],k=[3/4,1]": { + "floor": "797687227911503519193/18446744073709551616", + "floor_float": 43.24271127327959 + }, + "r=[3/128,13/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "553594231373687115753/4611686018427387904", + "floor_float": 120.04161366615891 + }, + "r=[3/128,13/512],b=[7/8,1],k=[7/4,2]": { + "floor": "541506647532796560337/2305843009213693952", + "floor_float": 234.84107346816015 + }, + "r=[3/32,49/512],b=[0,1/8],k=[1,5/4]": { + "floor": "542996761142526233685/18446744073709551616", + "floor_float": 29.435913404165973 + }, + "r=[3/32,49/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "133857184079472432843/18446744073709551616", + "floor_float": 7.256412489087804 + }, + "r=[3/32,49/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "612089608607551081719/9223372036854775808", + "floor_float": 66.3628883408109 + }, + "r=[3/32,49/512],b=[0,1/8],k=[3/4,1]": { + "floor": "152111946004777981715/9223372036854775808", + "floor_float": 16.492010231937805 + }, + "r=[3/32,49/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "849779330519851393759/18446744073709551616", + "floor_float": 46.06662981414502 + }, + "r=[3/32,49/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1665806414175784188697/18446744073709551616", + "floor_float": 90.30354665948366 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "941386054794102681429/18446744073709551616", + "floor_float": 51.03264028776621 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "58030888905331815173/4611686018427387904", + "floor_float": 12.583443164485143 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "530665761170065945443/4611686018427387904", + "floor_float": 115.06979422485186 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "527440427921398006851/18446744073709551616", + "floor_float": 28.592602890453193 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "736662020254874802499/9223372036854775808", + "floor_float": 79.8690562747896 + }, + "r=[3/32,49/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2888809404478137877329/18446744073709551616", + "floor_float": 156.60267161158768 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "360494749885601212833/9223372036854775808", + "floor_float": 39.08491909955874 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "44444001139219440929/4611686018427387904", + "floor_float": 9.63725651781799 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "812791653304120235125/9223372036854775808", + "floor_float": 88.12304762904121 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "50495381076227697813/2305843009213693952", + "floor_float": 21.898880745331798 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1128359699608211452331/18446744073709551616", + "floor_float": 61.1685018830157 + }, + "r=[3/32,49/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2212172714890102472361/18446744073709551616", + "floor_float": 119.92212316985028 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "313505532275614834749/9223372036854775808", + "floor_float": 33.9903379179446 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "77293960085584532481/9223372036854775808", + "floor_float": 8.380227944479861 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1413637261805369946061/18446744073709551616", + "floor_float": 76.6334295177921 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "21956416929288277465/1152921504606846976", + "floor_float": 19.044155947785487 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "981269016372645250063/18446744073709551616", + "floor_float": 53.1946999671968 + }, + "r=[3/32,49/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "480919752447308898795/4611686018427387904", + "floor_float": 104.28284807891266 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1209622633508819927635/18446744073709551616", + "floor_float": 65.57377435689499 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "149137809714640697545/9223372036854775808", + "floor_float": 16.16955372923432 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1363930051157217889221/9223372036854775808", + "floor_float": 147.87759245829207 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "338861422407018280621/9223372036854775808", + "floor_float": 36.73942903452174 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1893245205803067576973/18446744073709551616", + "floor_float": 102.63302825897259 + }, + "r=[3/32,49/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "116022816545072297307/576460752303423488", + "floor_float": 201.26750360968722 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "412758126646505387983/9223372036854775808", + "floor_float": 44.75132576211881 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "101777393915197849005/9223372036854775808", + "floor_float": 11.034727159277047 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1861329872385417745451/18446744073709551616", + "floor_float": 100.90289456762183 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "7227115242477678231/288230376151711744", + "floor_float": 25.074092949431687 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "161495325054609555813/2305843009213693952", + "floor_float": 70.03743290818416 + }, + "r=[3/32,49/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "316634073257475358353/2305843009213693952", + "floor_float": 137.31814004347567 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1069199894879996714141/18446744073709551616", + "floor_float": 57.96144244250827 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "131820927851775885907/9223372036854775808", + "floor_float": 14.292053635595035 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2411022030516999995397/18446744073709551616", + "floor_float": 130.7017661698472 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "599045754692826243319/18446744073709551616", + "floor_float": 32.47433543280904 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "52294310030536770895/576460752303423488", + "floor_float": 90.71616726998155 + }, + "r=[3/32,49/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3281358212767202493805/18446744073709551616", + "floor_float": 177.88278514926765 + }, + "r=[3/32,49/512],b=[7/8,1],k=[1,5/4]": { + "floor": "681698393268815210517/9223372036854775808", + "floor_float": 73.90988789619273 + }, + "r=[3/32,49/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "168097625129883688459/9223372036854775808", + "floor_float": 18.225181035547383 + }, + "r=[3/32,49/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1537414892865539285517/9223372036854775808", + "floor_float": 166.68685668563867 + }, + "r=[3/32,49/512],b=[7/8,1],k=[3/4,1]": { + "floor": "763863210117648691581/18446744073709551616", + "floor_float": 41.409107594565306 + }, + "r=[3/32,49/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2133985057527268601591/18446744073709551616", + "floor_float": 115.68356177113344 + }, + "r=[3/32,49/512],b=[7/8,1],k=[7/4,2]": { + "floor": "523142314117791296291/2305843009213693952", + "floor_float": 226.8768133942414 + }, + "r=[3/64,25/512],b=[0,1/8],k=[1,5/4]": { + "floor": "140016955590011748755/4611686018427387904", + "floor_float": 30.361337487099426 + }, + "r=[3/64,25/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "69657378850302514835/9223372036854775808", + "floor_float": 7.552268147914382 + }, + "r=[3/64,25/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1259259777932089082099/18446744073709551616", + "floor_float": 68.26460934787924 + }, + "r=[3/64,25/512],b=[0,1/8],k=[3/4,1]": { + "floor": "157351147053481760305/9223372036854775808", + "floor_float": 17.0600455478471 + }, + "r=[3/64,25/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "3418134559307433185/72057594037927936", + "floor_float": 47.436146112625934 + }, + "r=[3/64,25/512],b=[0,1/8],k=[7/4,2]": { + "floor": "856177495554711848051/9223372036854775808", + "floor_float": 92.8269500713617 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "968927669426753688641/18446744073709551616", + "floor_float": 52.52567420869015 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "240994179802183314271/18446744073709551616", + "floor_float": 13.06432066489447 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2179161793995923810281/18446744073709551616", + "floor_float": 118.13259756238949 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "68048833672390378099/2305843009213693952", + "floor_float": 29.511477321084158 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1514038664747616661741/18446744073709551616", + "floor_float": 82.07620047732091 + }, + "r=[3/64,25/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "92616804159002021467/576460752303423488", + "floor_float": 160.66454444456718 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "185713143621099153383/4611686018427387904", + "floor_float": 40.27011875462164 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "184776680213199021923/18446744073709551616", + "floor_float": 10.016763905590485 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1670451301658888313637/18446744073709551616", + "floor_float": 90.55534651449027 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "417392465017247610959/18446744073709551616", + "floor_float": 22.62689086753899 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "580344815695070663257/9223372036854775808", + "floor_float": 62.92111099672953 + }, + "r=[3/64,25/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2271682020383859164517/18446744073709551616", + "floor_float": 123.148129084822 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "323192849752680761845/9223372036854775808", + "floor_float": 35.04063898336377 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "40197037597564434097/4611686018427387904", + "floor_float": 8.716343098152173 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "726718163725419922993/9223372036854775808", + "floor_float": 78.79094118957768 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "363199194756153475185/18446744073709551616", + "floor_float": 19.68906779998037 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "504967367741159411883/9223372036854775808", + "floor_float": 54.74867171392517 + }, + "r=[3/64,25/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "494120568655377612159/4611686018427387904", + "floor_float": 107.14531880118665 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1243908350102411243843/18446744073709551616", + "floor_float": 67.43240677769468 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "309366091292881339543/18446744073709551616", + "floor_float": 16.77076941365454 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2797992246623003877315/18446744073709551616", + "floor_float": 151.6794636193129 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "349426287698960399535/9223372036854775808", + "floor_float": 37.884874024675774 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "242980987686248455271/2305843009213693952", + "floor_float": 105.37620588884167 + }, + "r=[3/64,25/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "118927051943928806305/576460752303423488", + "floor_float": 206.30554893584647 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "425045979847740163067/9223372036854775808", + "floor_float": 46.08357747571498 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "211443781126529372431/18446744073709551616", + "floor_float": 11.462390342796633 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1911758165252578846385/18446744073709551616", + "floor_float": 103.6366178016874 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "119408738224614556491/4611686018427387904", + "floor_float": 25.892642679376 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "664151225013705051893/9223372036854775808", + "floor_float": 72.00742010187682 + }, + "r=[3/64,25/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2599948521413343278593/18446744073709551616", + "floor_float": 140.9434917633411 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1099956951376076332231/18446744073709551616", + "floor_float": 59.62878581612372 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "136787146228355038631/9223372036854775808", + "floor_float": 14.83049211088749 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2474021823891905617595/18446744073709551616", + "floor_float": 134.1169918120077 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "617993645835929636517/18446744073709551616", + "floor_float": 33.50150266987762 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1718839447544050633611/18446744073709551616", + "floor_float": 93.1784731590522 + }, + "r=[3/64,25/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "841222022015536474461/4611686018427387904", + "floor_float": 182.4109487623787 + }, + "r=[3/64,25/512],b=[7/8,1],k=[1,5/4]": { + "floor": "350365725319335691509/4611686018427387904", + "floor_float": 75.97345611113666 + }, + "r=[3/64,25/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "348538240829640509047/18446744073709551616", + "floor_float": 18.89429589508861 + }, + "r=[3/64,25/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "394074449912184893513/2305843009213693952", + "floor_float": 170.9025498863284 + }, + "r=[3/64,25/512],b=[7/8,1],k=[3/4,1]": { + "floor": "787350654200893908025/18446744073709551616", + "floor_float": 42.68236448962462 + }, + "r=[3/64,25/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "547531335218327026071/4611686018427387904", + "floor_float": 118.72693262951982 + }, + "r=[3/64,25/512],b=[7/8,1],k=[7/4,2]": { + "floor": "268008435390477456429/1152921504606846976", + "floor_float": 232.4602623158373 + }, + "r=[31/256,63/512],b=[0,1/8],k=[1,5/4]": { + "floor": "531597769215575985581/18446744073709551616", + "floor_float": 28.817972813598765 + }, + "r=[31/256,63/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "16289022631922781479/2305843009213693952", + "floor_float": 7.064237490078492 + }, + "r=[31/256,63/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "600174630550105231075/9223372036854775808", + "floor_float": 65.07106383131091 + }, + "r=[31/256,63/512],b=[0,1/8],k=[3/4,1]": { + "floor": "297307343006689024893/18446744073709551616", + "floor_float": 16.117063359187263 + }, + "r=[31/256,63/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "832753541531945468229/18446744073709551616", + "floor_float": 45.143659943696655 + }, + "r=[31/256,63/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1633962554291412198545/18446744073709551616", + "floor_float": 88.57728755613566 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "461516643686068204991/9223372036854775808", + "floor_float": 50.03773477226536 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "3537230547552449441/288230376151711744", + "floor_float": 12.27223374156306 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "521105895653730835605/4611686018427387904", + "floor_float": 112.9968288325559 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "516302923778920487859/18446744073709551616", + "floor_float": 27.98883758108617 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1445956665760067539559/18446744073709551616", + "floor_float": 78.38546791684809 + }, + "r=[31/256,63/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "709446394507275200893/4611686018427387904", + "floor_float": 153.8366644373592 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "706422313917915375557/18446744073709551616", + "floor_float": 38.29523037210204 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "173226241157761265077/18446744073709551616", + "floor_float": 9.390613349737134 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1595180202995799657611/18446744073709551616", + "floor_float": 86.47489207969569 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "98777302846513324103/4611686018427387904", + "floor_float": 21.41891326768967 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1106627337686166292951/18446744073709551616", + "floor_float": 59.99038818255957 + }, + "r=[31/256,63/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "542890508820925905677/4611686018427387904", + "floor_float": 117.72061381708176 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "614091435710654103885/18446744073709551616", + "floor_float": 33.28996343511168 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "150563188359730404033/18446744073709551616", + "floor_float": 8.162046795798195 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "693326063964625520397/9223372036854775808", + "floor_float": 75.17056247912708 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "85864425729970894643/4611686018427387904", + "floor_float": 18.61887938313094 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "480990551930187363701/9223372036854775808", + "floor_float": 52.149100134771096 + }, + "r=[31/256,63/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "235952461623262298005/2305843009213693952", + "floor_float": 102.32806859809743 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1186846495747035381687/18446744073709551616", + "floor_float": 64.33907745478719 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "291088228573638357965/18446744073709551616", + "floor_float": 15.77992449022479 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2680501246799082284825/18446744073709551616", + "floor_float": 145.3102637564834 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "82977706788687006029/2305843009213693952", + "floor_float": 35.985843987263856 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1859356871490400621851/18446744073709551616", + "floor_float": 100.79593797478717 + }, + "r=[31/256,63/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "912387086309036999129/4611686018427387904", + "floor_float": 197.84241222479548 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "809138325256283265853/18446744073709551616", + "floor_float": 43.86347650420725 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "198445072900663569621/18446744073709551616", + "floor_float": 10.757728957897188 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "913580719611615140575/9223372036854775808", + "floor_float": 99.05062009437836 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "113143486215099944385/4611686018427387904", + "floor_float": 24.534082711399016 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1267528231969545475779/18446744073709551616", + "floor_float": 68.71284313940458 + }, + "r=[31/256,63/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2487456327417969847187/18446744073709551616", + "floor_float": 134.84527770746885 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1048743341440190958445/18446744073709551616", + "floor_float": 56.85249045845811 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "257214441402828938845/18446744073709551616", + "floor_float": 13.943622808179631 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1184199599217618109737/9223372036854775808", + "floor_float": 128.39117781282053 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "146646370267370616691/4611686018427387904", + "floor_float": 31.79886264619938 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1642906066553463845347/18446744073709551616", + "floor_float": 89.06211632734401 + }, + "r=[31/256,63/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3224507866983772469315/18446744073709551616", + "floor_float": 174.8009217290203 + }, + "r=[31/256,63/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1338136512723665673103/18446744073709551616", + "floor_float": 72.54052570885875 + }, + "r=[31/256,63/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "328186813134021172775/18446744073709551616", + "floor_float": 17.791042789050003 + }, + "r=[31/256,63/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3022449478909554073549/18446744073709551616", + "floor_float": 163.84731456307097 + }, + "r=[31/256,63/512],b=[7/8,1],k=[3/4,1]": { + "floor": "748426355768428314717/18446744073709551616", + "floor_float": 40.57227404347695 + }, + "r=[31/256,63/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1048216761933406729087/9223372036854775808", + "floor_float": 113.64788905239203 + }, + "r=[31/256,63/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4115253369543809748727/18446744073709551616", + "floor_float": 223.08833217938454 + }, + "r=[31/512,1/16],b=[0,1/8],k=[1,5/4]": { + "floor": "555413098785584278473/18446744073709551616", + "floor_float": 30.109004416511826 + }, + "r=[31/512,1/16],b=[0,1/8],k=[1/2,3/4]": { + "floor": "137806688111095163879/18446744073709551616", + "floor_float": 7.470515531654086 + }, + "r=[31/512,1/16],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1249772403193180156045/18446744073709551616", + "floor_float": 67.75029773272378 + }, + "r=[31/512,1/16],b=[0,1/8],k=[3/4,1]": { + "floor": "311829282413242334271/18446744073709551616", + "floor_float": 16.904299271851663 + }, + "r=[31/512,1/16],b=[0,1/8],k=[5/4,3/2]": { + "floor": "868184384484989743397/18446744073709551616", + "floor_float": 47.06436978883082 + }, + "r=[31/512,1/16],b=[0,1/8],k=[7/4,2]": { + "floor": "424952040865795245093/4611686018427387904", + "floor_float": 92.14678518176882 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[1,5/4]": { + "floor": "480696176137274516541/9223372036854775808", + "floor_float": 52.11718384735077 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "119268375897238734819/9223372036854775808", + "floor_float": 12.9311032256604 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2163840305633508043695/18446744073709551616", + "floor_float": 117.30201801397736 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[3/4,1]": { + "floor": "269864455488537722697/9223372036854775808", + "floor_float": 29.25876289172903 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1502952472121138148071/18446744073709551616", + "floor_float": 81.47521677080988 + }, + "r=[31/512,1/16],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2943486904137663431879/18446744073709551616", + "floor_float": 159.56674480743433 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[1,5/4]": { + "floor": "184220393720351089215/4611686018427387904", + "floor_float": 39.94643021754793 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "22855062335320046777/2305843009213693952", + "floor_float": 9.911803294498249 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1658293568890499212355/18446744073709551616", + "floor_float": 89.89627450049099 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[3/4,1]": { + "floor": "51713656239957672149/2305843009213693952", + "floor_float": 22.427223377012268 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "287974345618506852911/4611686018427387904", + "floor_float": 62.444482227935325 + }, + "r=[31/512,1/16],b=[1/4,3/8],k=[7/4,2]": { + "floor": "563902287360386381441/4611686018427387904", + "floor_float": 122.27681700513523 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[1,5/4]": { + "floor": "320549028858871591345/9223372036854775808", + "floor_float": 34.753995347690726 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "39768540309504091133/4611686018427387904", + "floor_float": 8.623427560028338 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "721330822133847793989/9223372036854775808", + "floor_float": 78.20684444382728 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[3/4,1]": { + "floor": "89983755013244250781/4611686018427387904", + "floor_float": 19.512116534752565 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "125268169450740799441/2305843009213693952", + "floor_float": 54.32640858471019 + }, + "r=[31/512,1/16],b=[1/8,1/4],k=[7/4,2]": { + "floor": "479060996519174963/4503599627370496", + "floor_float": 106.372909707092 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[1,5/4]": { + "floor": "308631314856775316507/4611686018427387904", + "floor_float": 66.92374841295471 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "38286582431434319511/2305843009213693952", + "floor_float": 16.604158339682574 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1389473190289523508827/9223372036854775808", + "floor_float": 150.64698515222662 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[3/4,1]": { + "floor": "693038608800884963477/18446744073709551616", + "floor_float": 37.56969826391256 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1930057249740039573421/18446744073709551616", + "floor_float": 104.62861315947744 + }, + "r=[31/512,1/16],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3780507052287432234957/18446744073709551616", + "floor_float": 204.94169795934022 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[1,5/4]": { + "floor": "421691592837087030047/9223372036854775808", + "floor_float": 45.719894107284254 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "104629865303709564697/9223372036854775808", + "floor_float": 11.343992726914761 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "949047240605199473357/9223372036854775808", + "floor_float": 102.89590800555305 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[3/4,1]": { + "floor": "473487037987950243411/18446744073709551616", + "floor_float": 25.66778376151311 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "329606711595490886909/4611686018427387904", + "floor_float": 71.47206255552686 + }, + "r=[31/512,1/16],b=[3/8,1/2],k=[7/4,2]": { + "floor": "80683861129391369409/576460752303423488", + "floor_float": 139.9641880336078 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[1,5/4]": { + "floor": "545769975320695391207/9223372036854775808", + "floor_float": 59.17249929200581 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "270822350872076131005/18446744073709551616", + "floor_float": 14.681309058656824 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2456926055489565072503/18446744073709551616", + "floor_float": 133.19022834990136 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[3/4,1]": { + "floor": "153195371805737716555/4611686018427387904", + "floor_float": 33.218950985301085 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1706463869676559257673/18446744073709551616", + "floor_float": 92.50759173856731 + }, + "r=[31/512,1/16],b=[5/8,3/4],k=[7/4,2]": { + "floor": "417787836389943954441/2305843009213693952", + "floor_float": 181.18659194079828 + }, + "r=[31/512,1/16],b=[7/8,1],k=[1,5/4]": { + "floor": "695521587250580997297/9223372036854775808", + "floor_float": 75.40860159076462 + }, + "r=[31/512,1/16],b=[7/8,1],k=[1/2,3/4]": { + "floor": "172558819327968506727/9223372036854775808", + "floor_float": 18.70886467969171 + }, + "r=[31/512,1/16],b=[7/8,1],k=[3/2,7/4]": { + "floor": "391431999447529818753/2305843009213693952", + "floor_float": 169.75656967254264 + }, + "r=[31/512,1/16],b=[7/8,1],k=[3/4,1]": { + "floor": "780888950577009484755/18446744073709551616", + "floor_float": 42.33207483427597 + }, + "r=[31/512,1/16],b=[7/8,1],k=[5/4,3/2]": { + "floor": "543704662808315653697/4611686018427387904", + "floor_float": 117.89715532145489 + }, + "r=[31/512,1/16],b=[7/8,1],k=[7/4,2]": { + "floor": "4260214322125011998283/18446744073709551616", + "floor_float": 230.94668116508993 + }, + "r=[33/512,17/256],b=[0,1/8],k=[1,5/4]": { + "floor": "554033823594582098215/18446744073709551616", + "floor_float": 30.034233758584833 + }, + "r=[33/512,17/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "137362931526941483665/18446744073709551616", + "floor_float": 7.446459439024378 + }, + "r=[33/512,17/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1246949135844591533455/18446744073709551616", + "floor_float": 67.59724810308143 + }, + "r=[33/512,17/256],b=[0,1/8],k=[3/4,1]": { + "floor": "38872555247352546695/2305843009213693952", + "floor_float": 16.85828353969697 + }, + "r=[33/512,17/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "845847144744190103/18014398509481984", + "floor_float": 46.953948770422365 + }, + "r=[33/512,17/256],b=[0,1/8],k=[7/4,2]": { + "floor": "424017237624553057165/4611686018427387904", + "floor_float": 91.94408204076856 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "119895492031395789143/2305843009213693952", + "floor_float": 51.99638117266312 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "118907354658434323315/9223372036854775808", + "floor_float": 12.891961224517885 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1079645965219324818223/9223372036854775808", + "floor_float": 117.05545010060013 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "538353963871657813941/18446744073709551616", + "floor_float": 29.184226859791707 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "93729196357642307519/1152921504606846976", + "floor_float": 81.29711865302097 + }, + "r=[33/512,17/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "367182392782904457841/2305843009213693952", + "floor_float": 159.2399791814603 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "367556969133596319677/9223372036854775808", + "floor_float": 39.850606444683265 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "91135709851522079639/9223372036854775808", + "floor_float": 9.880953461202882 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "206835066003880557437/2305843009213693952", + "floor_float": 89.700411163036 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "206310166996901645483/9223372036854775808", + "floor_float": 22.3681931263888 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "71830560254946002961/1152921504606846976", + "floor_float": 62.30307958341071 + }, + "r=[33/512,17/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2250825502498487214317/18446744073709551616", + "floor_float": 122.01749498473185 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "79941517781685604775/2305843009213693952", + "floor_float": 34.669106900276844 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "79284969684027546289/9223372036854775808", + "floor_float": 8.596093637687002 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1439457683565274533963/18446744073709551616", + "floor_float": 78.03315738612112 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "358971096829081621149/18446744073709551616", + "floor_float": 19.459862152079733 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "999833490940419148095/18446744073709551616", + "floor_float": 54.201082150068416 + }, + "r=[33/512,17/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "489497450990496361067/4611686018427387904", + "floor_float": 106.14283995800258 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1231751754041752654263/18446744073709551616", + "floor_float": 66.77339638474494 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "152694937774773211819/9223372036854775808", + "floor_float": 16.555218326294803 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1386647630383486688663/9223372036854775808", + "floor_float": 150.3406373333653 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "691324419263766772357/18446744073709551616", + "floor_float": 37.47677186290278 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1925972432543214336911/18446744073709551616", + "floor_float": 104.40717477552722 + }, + "r=[33/512,17/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3773025765705910403119/18446744073709551616", + "floor_float": 204.5361366011066 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "420699146276545598737/9223372036854775808", + "floor_float": 45.61229283558278 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "208617825766741275083/18446744073709551616", + "floor_float": 11.309194995775167 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "947016560312431133031/9223372036854775808", + "floor_float": 102.67574120704876 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "118065799753742840825/4611686018427387904", + "floor_float": 25.601439317849305 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1315494416849905923097/18446744073709551616", + "floor_float": 71.31309523206099 + }, + "r=[33/512,17/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "322063312804397954187/2305843009213693952", + "floor_float": 139.67269736816274 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "544525936118212294411/9223372036854775808", + "floor_float": 59.037620291406874 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "33751756294434432543/2305843009213693952", + "floor_float": 14.637490999850844 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2451852350071437322169/18446744073709551616", + "floor_float": 132.9151822280571 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "305622436186234070183/9223372036854775808", + "floor_float": 33.135650927342745 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1702797776010132610775/18446744073709551616", + "floor_float": 92.30885240268356 + }, + "r=[33/512,17/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3335588863749954518257/18446744073709551616", + "floor_float": 180.8226346298078 + }, + "r=[33/512,17/256],b=[7/8,1],k=[1,5/4]": { + "floor": "173495634483460884519/2305843009213693952", + "floor_float": 75.24173752948772 + }, + "r=[33/512,17/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "344113242627486367105/18446744073709551616", + "floor_float": 18.65441626188761 + }, + "r=[33/512,17/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "781296039523012928133/4611686018427387904", + "floor_float": 169.41657268103424 + }, + "r=[33/512,17/256],b=[7/8,1],k=[3/4,1]": { + "floor": "778984916420960440267/18446744073709551616", + "floor_float": 42.22885693585222 + }, + "r=[33/512,17/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2170283018282592710951/18446744073709551616", + "floor_float": 117.65127816651923 + }, + "r=[33/512,17/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4251920384081604179685/18446744073709551616", + "floor_float": 230.4970658828338 + }, + "r=[35/512,9/128],b=[0,1/8],k=[1,5/4]": { + "floor": "552633030784255411291/18446744073709551616", + "floor_float": 29.958296628176917 + }, + "r=[35/512,9/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "136913457603519021167/18446744073709551616", + "floor_float": 7.422093408811866 + }, + "r=[35/512,9/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1244077710475646487409/18446744073709551616", + "floor_float": 67.44158782192441 + }, + "r=[35/512,9/128],b=[0,1/8],k=[3/4,1]": { + "floor": "310119242490674091539/18446744073709551616", + "floor_float": 16.81159782189739 + }, + "r=[35/512,9/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "216019315628532374621/4611686018427387904", + "floor_float": 46.841722260657335 + }, + "r=[35/512,9/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1692262069207980084043/18446744073709551616", + "floor_float": 91.73771059250535 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "956902633005791190771/18446744073709551616", + "floor_float": 51.87379567809891 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "118542009760291420537/9223372036854775808", + "floor_float": 12.852350451290583 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2154666743557250844681/18446744073709551616", + "floor_float": 116.80471821735193 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "536960377784078822041/18446744073709551616", + "floor_float": 29.108680406606773 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "748164964562829127389/9223372036854775808", + "floor_float": 81.11620799565598 + }, + "r=[35/512,9/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2931325212120627370785/18446744073709551616", + "floor_float": 158.9074581621358 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "733319903412743108171/18446744073709551616", + "floor_float": 39.753351620347814 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "181695416272548672561/18446744073709551616", + "floor_float": 9.849728252667767 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1651006598140827375933/18446744073709551616", + "floor_float": 89.50124702460936 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "205758127077552724357/9223372036854775808", + "floor_float": 22.308340838403115 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1146639201846264525535/18446744073709551616", + "floor_float": 62.15943568493824 + }, + "r=[35/512,9/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2245956796716376813825/18446744073709551616", + "floor_float": 121.75356191542402 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "159485420439800143565/4611686018427387904", + "floor_float": 34.58288786411908 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "19757409467881619369/2305843009213693952", + "floor_float": 8.56841050710517 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "718098808813256557371/9223372036854775808", + "floor_float": 77.85642885745857 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "357993137128492658603/18446744073709551616", + "floor_float": 19.40684685048064 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "498741452062311033833/9223372036854775808", + "floor_float": 54.07365658345327 + }, + "r=[35/512,9/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "488417160367187251133/4611686018427387904", + "floor_float": 105.90858926986108 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "614468591800506560999/9223372036854775808", + "floor_float": 66.62081821542178 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "304476266865874043011/18446744073709551616", + "floor_float": 16.505691500312842 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1383773400406212624807/9223372036854775808", + "floor_float": 150.02901269480697 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "344793437663830960669/9223372036854775808", + "floor_float": 37.382579417387085 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "480455804506517065429/4611686018427387904", + "floor_float": 104.18224540584733 + }, + "r=[35/512,9/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3765414448905471880029/18446744073709551616", + "floor_float": 204.12352629058105 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "419691455795317465041/9223372036854775808", + "floor_float": 45.50303881468872 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "207967971428012373791/18446744073709551616", + "floor_float": 11.273966321482716 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "944950822817446836295/9223372036854775808", + "floor_float": 102.45177349906409 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "471022142481129740121/18446744073709551616", + "floor_float": 25.534161508340883 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1312513699611162853117/18446744073709551616", + "floor_float": 71.15151022677048 + }, + "r=[35/512,9/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "321379103896542865465/2305843009213693952", + "floor_float": 139.37596905443056 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1086526206570132776839/18446744073709551616", + "floor_float": 58.9007036812886 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "269195865873073554291/18446744073709551616", + "floor_float": 14.593137130185141 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2446693017507488863621/18446744073709551616", + "floor_float": 132.6354942493367 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "609686887138368964201/18446744073709551616", + "floor_float": 33.05119237856721 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "849536396397638823129/9223372036854775808", + "floor_float": 92.10692065798267 + }, + "r=[35/512,9/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3328756892780556359539/18446744073709551616", + "floor_float": 180.45227274143883 + }, + "r=[35/512,9/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1384840275457681722747/18446744073709551616", + "floor_float": 75.07234175983214 + }, + "r=[35/512,9/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "21443545311966479003/1152921504606846976", + "floor_float": 18.599310730420328 + }, + "r=[35/512,9/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3118808309418684697673/18446744073709551616", + "floor_float": 169.07093723187907 + }, + "r=[35/512,9/128],b=[7/8,1],k=[3/4,1]": { + "floor": "97131851835790885969/2305843009213693952", + "floor_float": 42.124225911161844 + }, + "r=[35/512,9/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1082837747972738425233/9223372036854775808", + "floor_float": 117.40150388013541 + }, + "r=[35/512,9/128],b=[7/8,1],k=[7/4,2]": { + "floor": "530435512964073889261/2305843009213693952", + "floor_float": 230.03973420764476 + }, + "r=[37/512,19/256],b=[0,1/8],k=[1,5/4]": { + "floor": "551210804575974436193/18446744073709551616", + "floor_float": 29.881197590937717 + }, + "r=[37/512,19/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "68229311420669896201/9223372036854775808", + "floor_float": 7.397436766948034 + }, + "r=[37/512,19/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1241155695586724068149/18446744073709551616", + "floor_float": 67.28318507739418 + }, + "r=[37/512,19/256],b=[0,1/8],k=[3/4,1]": { + "floor": "154623068214177571489/9223372036854775808", + "floor_float": 16.764266647418566 + }, + "r=[37/512,19/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "861972782258178851611/18446744073709551616", + "floor_float": 46.72763815738461 + }, + "r=[37/512,19/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1688385089476284806731/18446744073709551616", + "floor_float": 91.52753910011604 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "119325907727039973951/2305843009213693952", + "floor_float": 51.74936335658463 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "59086132625316173519/4611686018427387904", + "floor_float": 12.812262671226888 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "537489376971853429855/4611686018427387904", + "floor_float": 116.54943004015274 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "8367930353351776403/288230376151711744", + "floor_float": 29.03209045859645 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1492939169812607978159/18446744073709551616", + "floor_float": 80.93239456497675 + }, + "r=[37/512,19/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2925083614375181844385/18446744073709551616", + "floor_float": 158.56910047036618 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "365749105712745522223/9223372036854775808", + "floor_float": 39.654597499838914 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "181112536197945605953/18446744073709551616", + "floor_float": 9.818130260508608 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "823634437994522984445/9223372036854775808", + "floor_float": 89.29862470075393 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "410396685127010505523/18446744073709551616", + "floor_float": 22.247648879777714 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "571972844362429131651/9223372036854775808", + "floor_float": 62.013420046045894 + }, + "r=[37/512,19/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2240999859343477397651/18446744073709551616", + "floor_float": 121.4848458019954 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "159081793373280425769/4611686018427387904", + "floor_float": 34.495365195640154 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "157542379891965550995/18446744073709551616", + "floor_float": 8.540389526870285 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "716440799089096310287/9223372036854775808", + "floor_float": 77.6766670829649 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "357001628166552840275/18446744073709551616", + "floor_float": 19.35309704195194 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "248773542922648713815/4611686018427387904", + "floor_float": 53.944163138730325 + }, + "r=[37/512,19/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1949269645075186182575/18446744073709551616", + "floor_float": 105.67011919752825 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "306520333713364586545/4611686018427387904", + "floor_float": 66.46600234460234 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "303551743651694169571/18446744073709551616", + "floor_float": 16.455572996446488 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2761702912402854065445/18446744073709551616", + "floor_float": 149.71221486933595 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "343912896316727732875/9223372036854775808", + "floor_float": 37.28711093323783 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1917609768892459839365/18446744073709551616", + "floor_float": 103.95383387063156 + }, + "r=[37/512,19/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3757673691048670945981/18446744073709551616", + "floor_float": 203.70389896632966 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "52333511028908028013/1152921504606846976", + "floor_float": 45.392085081068956 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "25913792250192712793/2305843009213693952", + "floor_float": 11.238315941998787 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "235712428981007307137/2305843009213693952", + "floor_float": 102.22397103321732 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "469763893607282880411/18446744073709551616", + "floor_float": 25.465951700213274 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1309484486737522945045/18446744073709551616", + "floor_float": 70.9872962678444 + }, + "r=[37/512,19/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2565461360715249764483/18446744073709551616", + "floor_float": 139.07393903575462 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1083962906220933515841/18446744073709551616", + "floor_float": 58.76174689092186 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "67091957674340341349/4611686018427387904", + "floor_float": 14.548249253365062 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2441448497601208810901/18446744073709551616", + "floor_float": 132.35118825553508 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "304053772514001414229/9223372036854775808", + "floor_float": 32.96557607120937 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "211911094541162621139/2305843009213693952", + "floor_float": 91.90178763012385 + }, + "r=[37/512,19/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3321805267823676650251/18446744073709551616", + "floor_float": 180.07542439741115 + }, + "r=[37/512,19/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1381667282191196215547/18446744073709551616", + "floor_float": 74.90033345019187 + }, + "r=[37/512,19/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "85517056193820779151/4611686018427387904", + "floor_float": 18.543555621981092 + }, + "r=[37/512,19/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1556165530161649912471/9223372036854775808", + "floor_float": 168.71980485483175 + }, + "r=[37/512,19/256],b=[7/8,1],k=[3/4,1]": { + "floor": "775099082965296834237/18446744073709551616", + "floor_float": 42.018205482124856 + }, + "r=[37/512,19/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1080498992770962989089/9223372036854775808", + "floor_float": 117.14793553306774 + }, + "r=[37/512,19/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4234907047464780579637/18446744073709551616", + "floor_float": 229.5747710567744 + }, + "r=[39/512,5/64],b=[0,1/8],k=[1,5/4]": { + "floor": "549766417245025632749/18446744073709551616", + "floor_float": 29.802897196831456 + }, + "r=[39/512,5/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "135998126742010907421/18446744073709551616", + "floor_float": 7.37247322338236 + }, + "r=[39/512,5/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1238182688526388216579/18446744073709551616", + "floor_float": 67.12201804171264 + }, + "r=[39/512,5/64],b=[0,1/8],k=[3/4,1]": { + "floor": "38545069297228264753/2305843009213693952", + "floor_float": 16.71625914826368 + }, + "r=[39/512,5/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "429916690272121442685/9223372036854775808", + "floor_float": 46.61166095808118 + }, + "r=[39/512,5/64],b=[0,1/8],k=[7/4,2]": { + "floor": "842218797023125033111/9223372036854775808", + "floor_float": 91.31354494406003 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "238069742267506563195/4611686018427387904", + "floor_float": 51.623146353898946 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "235596369139998608211/18446744073709551616", + "floor_float": 12.771704762564168 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1072586502510999843905/9223372036854775808", + "floor_float": 116.2900616201055 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "66764493405120203649/2305843009213693952", + "floor_float": 28.954483517890182 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "186187125260345376131/2305843009213693952", + "floor_float": 80.74579427843888 + }, + "r=[39/512,5/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1459368487614644859373/9223372036854775808", + "floor_float": 158.22504847286828 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "364824354185404354999/9223372036854775808", + "floor_float": 39.55433573834365 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "180522608442250260361/18446744073709551616", + "floor_float": 9.78615021279189 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1643467297850322394761/18446744073709551616", + "floor_float": 89.09254073691005 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "409261396410291556809/18446744073709551616", + "floor_float": 22.186104755124468 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1141208413432808603825/18446744073709551616", + "floor_float": 61.86503205512934 + }, + "r=[39/512,5/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2235955729639638976307/18446744073709551616", + "floor_float": 121.2114029828354 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "39667980923101020485/1152921504606846976", + "floor_float": 34.40648887595174 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78509538424705422885/9223372036854775808", + "floor_float": 8.51202121208998 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "357377221711962746219/4611686018427387904", + "floor_float": 77.49383203538876 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "355996038430738497489/18446744073709551616", + "floor_float": 19.29858391314199 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "496333210311581846555/9223372036854775808", + "floor_float": 53.81255448965218 + }, + "r=[39/512,5/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1944792781584016562629/18446744073709551616", + "floor_float": 105.4274279413759 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1223184502958641749725/18446744073709551616", + "floor_float": 66.30896477291806 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "75654133952076274579/4611686018427387904", + "floor_float": 16.40487527767009 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "688940999395286060905/4611686018427387904", + "floor_float": 149.39026565174075 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "686041492530540647729/18446744073709551616", + "floor_float": 37.19038383084051 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "956663669747807293157/9223372036854775808", + "floor_float": 103.72168290785278 + }, + "r=[39/512,5/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "937450309713525409507/4611686018427387904", + "floor_float": 203.27713247772266 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "208813995210697645059/4611686018427387904", + "floor_float": 45.27931745056322 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "51661227684434213125/4611686018427387904", + "floor_float": 11.202243057746372 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1881427472474367245391/18446744073709551616", + "floor_float": 101.99238765153103 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "468488535264045785179/18446744073709551616", + "floor_float": 25.396814385891513 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "653203678695566516405/9223372036854775808", + "floor_float": 70.82048475172566 + }, + "r=[39/512,5/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2559793428406290883405/18446744073709551616", + "floor_float": 138.7666798096109 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1081362955271868648933/18446744073709551616", + "floor_float": 58.62080326755527 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "267530083008447027265/18446744073709551616", + "floor_float": 14.50283486014928 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2436119879291285749461/18446744073709551616", + "floor_float": 132.06232327813683 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "606507248272768070709/18446744073709551616", + "floor_float": 32.87882381027702 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "13214434695651358423/144115188075855872", + "floor_float": 91.69356035323538 + }, + "r=[39/512,5/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3314729050206106032029/18446744073709551616", + "floor_float": 179.69182187171364 + }, + "r=[39/512,5/64],b=[7/8,1],k=[1,5/4]": { + "floor": "1378448558292071659171/18446744073709551616", + "floor_float": 74.72584607798878 + }, + "r=[39/512,5/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "341027940394666054123/18446744073709551616", + "floor_float": 18.4871616927077 + }, + "r=[39/512,5/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3105748678935713024755/18446744073709551616", + "floor_float": 168.36297324480427 + }, + "r=[39/512,5/64],b=[7/8,1],k=[3/4,1]": { + "floor": "773117742497891957433/18446744073709551616", + "floor_float": 41.910796800165166 + }, + "r=[39/512,5/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "539062117494165180351/4611686018427387904", + "floor_float": 116.89046377836203 + }, + "r=[39/512,5/64],b=[7/8,1],k=[7/4,2]": { + "floor": "4226184853521678532883/18446744073709551616", + "floor_float": 229.10193997567686 + }, + "r=[41/512,21/256],b=[0,1/8],k=[1,5/4]": { + "floor": "548300163552621747315/18446744073709551616", + "floor_float": 29.723411424895495 + }, + "r=[41/512,21/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "67766032601860109477/9223372036854775808", + "floor_float": 7.347207976766025 + }, + "r=[41/512,21/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1235158813716773735485/18446744073709551616", + "floor_float": 66.95809345981723 + }, + "r=[41/512,21/256],b=[0,1/8],k=[3/4,1]": { + "floor": "307462718868840257729/18446744073709551616", + "floor_float": 16.667587387794825 + }, + "r=[41/512,21/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "214414832032913900075/4611686018427387904", + "floor_float": 46.49380534063996 + }, + "r=[41/512,21/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1680419321885272259227/18446744073709551616", + "floor_float": 91.09571397373152 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "949917083517041340469/18446744073709551616", + "floor_float": 51.49510828151353 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "234839679365900647855/18446744073709551616", + "floor_float": 12.730684527715438 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2140309292477502749115/18446744073709551616", + "floor_float": 116.02639923475107 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "532665560601001721123/18446744073709551616", + "floor_float": 28.87585790059076 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1486000803769881011753/18446744073709551616", + "floor_float": 80.55626498812553 + }, + "r=[41/512,21/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2912280668361636480953/18446744073709551616", + "floor_float": 157.87505137626115 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "181943067304104240175/4611686018427387904", + "floor_float": 39.45261376795723 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "179925497065674541681/18446744073709551616", + "floor_float": 9.75378074020693 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1639605583008485258187/18446744073709551616", + "floor_float": 88.8831967558581 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "408110668107794691829/18446744073709551616", + "floor_float": 22.123723648849083 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1138429350463065078145/18446744073709551616", + "floor_float": 61.71437874966584 + }, + "r=[41/512,21/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2230827105634091128005/18446744073709551616", + "floor_float": 120.93337971840157 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "633024673655670567943/18446744073709551616", + "floor_float": 34.316336320720275 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78244806130818275005/9223372036854775808", + "floor_float": 8.483318879274028 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "356520259310339340001/4611686018427387904", + "floor_float": 77.30800793587306 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "88744266750461761109/4611686018427387904", + "floor_float": 19.24334536129675 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "990201569507915104299/18446744073709551616", + "floor_float": 53.67893464295189 + }, + "r=[41/512,21/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1940238708896081624671/18446744073709551616", + "floor_float": 105.1805511662801 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1220246015470021556227/18446744073709551616", + "floor_float": 66.1496690469689 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "301670465887664380657/18446744073709551616", + "floor_float": 16.353588724506 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1374865014356991047125/9223372036854775808", + "floor_float": 149.0631635440164 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "342116794458716316409/9223372036854775808", + "floor_float": 37.0923771795917 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "477244694491885487499/4611686018427387904", + "floor_float": 103.48594691505662 + }, + "r=[41/512,21/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1870898883961632103651/9223372036854775808", + "floor_float": 202.84326344919072 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "416572428951259569413/9223372036854775808", + "floor_float": 45.16487324665191 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "102985846508105529999/9223372036854775808", + "floor_float": 11.165747851934672 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1877083951158464747923/18446744073709551616", + "floor_float": 101.7569248891841 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "233598009307818397453/9223372036854775808", + "floor_float": 25.32674691798258 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "325820345227488759491/4611686018427387904", + "floor_float": 70.65102522712408 + }, + "r=[41/512,21/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1277013502079652377125/9223372036854775808", + "floor_float": 138.45408132480813 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "539362904986293642803/9223372036854775808", + "floor_float": 58.47784333442323 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "66670725502058431267/4611686018427387904", + "floor_float": 14.456909086103295 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1215350427738661207137/9223372036854775808", + "floor_float": 131.76855740854435 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "604886126975690091903/18446744073709551616", + "floor_float": 32.790942648669294 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1687547443814288451393/18446744073709551616", + "floor_float": 91.48213023779056 + }, + "r=[41/512,21/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "413440860152931525493/2305843009213693952", + "floor_float": 179.3013915088336 + }, + "r=[41/512,21/256],b=[7/8,1],k=[1,5/4]": { + "floor": "343795910166767753931/4611686018427387904", + "floor_float": 74.54885453888818 + }, + "r=[41/512,21/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "84993920604517918445/4611686018427387904", + "floor_float": 18.430118673495762 + }, + "r=[41/512,21/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "774765196646522148937/4611686018427387904", + "floor_float": 168.00042187406368 + }, + "r=[41/512,21/256],b=[7/8,1],k=[3/4,1]": { + "floor": "192776732299139742129/4611686018427387904", + "floor_float": 41.801790392676764 + }, + "r=[41/512,21/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "33616039399067965821/288230376151711744", + "floor_float": 116.62906542984896 + }, + "r=[41/512,21/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4217316736625576317263/18446744073709551616", + "floor_float": 228.62119839544638 + }, + "r=[43/512,11/128],b=[0,1/8],k=[1,5/4]": { + "floor": "546811758786198957587/18446744073709551616", + "floor_float": 29.642724840830827 + }, + "r=[43/512,11/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "67530178530762546281/9223372036854775808", + "floor_float": 7.321636627138672 + }, + "r=[43/512,11/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "19251312345341797659/288230376151711744", + "floor_float": 66.79140693765308 + }, + "r=[43/512,11/128],b=[0,1/8],k=[3/4,1]": { + "floor": "306552408804573368017/18446744073709551616", + "floor_float": 16.618239380329147 + }, + "r=[43/512,11/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "106931296254995090189/2305843009213693952", + "floor_float": 46.3740574825427 + }, + "r=[43/512,11/128],b=[0,1/8],k=[7/4,2]": { + "floor": "419082639923677976479/4611686018427387904", + "floor_float": 90.8740617312424 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "947521054111079144417/18446744073709551616", + "floor_float": 51.365219267149364 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "117037120162364584481/9223372036854775808", + "floor_float": 12.689189994148272 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2135366047820509592063/18446744073709551616", + "floor_float": 115.7584254049391 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "265597980911298043541/9223372036854775808", + "floor_float": 28.79619079117929 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "92652805812090035685/1152921504606846976", + "floor_float": 80.36349867867646 + }, + "r=[43/512,11/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1452855033263388170689/9223372036854775808", + "floor_float": 157.51885833706652 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "362934516742761094819/9223372036854775808", + "floor_float": 39.349439152247825 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "89660092436020182647/9223372036854775808", + "floor_float": 9.720966700438423 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1635679775275810640803/18446744073709551616", + "floor_float": 88.67037829223177 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "406945103929177134453/18446744073709551616", + "floor_float": 22.060538288117662 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1135607232456915682281/18446744073709551616", + "floor_float": 61.56139142600196 + }, + "r=[43/512,11/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2225609278759282925897/18446744073709551616", + "floor_float": 120.65052075673556 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "631336732390790474727/18446744073709551616", + "floor_float": 34.22483284139973 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "155953904097279779261/18446744073709551616", + "floor_float": 8.454278081493337 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "177824445891738294329/2305843009213693952", + "floor_float": 77.11906022274148 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "353944227177875330681/18446744073709551616", + "floor_float": 19.187355002247767 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "493848596681708351847/9223372036854775808", + "floor_float": 53.543172140122586 + }, + "r=[43/512,11/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "967802098931769778095/9223372036854775808", + "floor_float": 104.92931381978559 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "608632103322199124265/9223372036854775808", + "floor_float": 65.98802486663503 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "37589231209221655235/2305843009213693952", + "floor_float": 16.301730455639216 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1371800874816899890177/9223372036854775808", + "floor_float": 148.73094886939984 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "85300366597697579601/2305843009213693952", + "floor_float": 36.99313711161347 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "476141465483012938509/4611686018427387904", + "floor_float": 103.24672225742289 + }, + "r=[43/512,11/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3733662705417940961765/18446744073709551616", + "floor_float": 202.4022608271119 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "831003255735024046921/18446744073709551616", + "floor_float": 45.04877676052202 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "102645353764439619477/9223372036854775808", + "floor_float": 11.128831554694859 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1872671946929503556295/18446744073709551616", + "floor_float": 101.51774966068135 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "465886483966842427297/18446744073709551616", + "floor_float": 25.255756902424185 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1300107898543951413795/18446744073709551616", + "floor_float": 70.47899040334579 + }, + "r=[43/512,11/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1274082607432905461365/9223372036854775808", + "floor_float": 138.13631309047523 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "538025519384803436673/9223372036854775808", + "floor_float": 58.332843696964574 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "265826051771694607611/18446744073709551616", + "floor_float": 14.410459141705774 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2425193301967171324745/18446744073709551616", + "floor_float": 131.46999233450506 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "603243838177521538239/18446744073709551616", + "floor_float": 32.70191399452815 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "841793898556356509973/9223372036854775808", + "floor_float": 91.26747735998441 + }, + "r=[43/512,11/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "825050612347594012063/4611686018427387904", + "floor_float": 178.90433326355142 + }, + "r=[43/512,11/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1371872622011472236155/18446744073709551616", + "floor_float": 74.36936385791117 + }, + "r=[43/512,11/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "169455734308149802169/9223372036854775808", + "floor_float": 18.372427527702243 + }, + "r=[43/512,11/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3092269341132049254125/18446744073709551616", + "floor_float": 167.63225687828435 + }, + "r=[43/512,11/128],b=[7/8,1],k=[3/4,1]": { + "floor": "384534701052847942091/9223372036854775808", + "floor_float": 41.69133582775617 + }, + "r=[43/512,11/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "67079152668717337505/576460752303423488", + "floor_float": 116.36378088305625 + }, + "r=[43/512,11/128],b=[7/8,1],k=[7/4,2]": { + "floor": "4208306569472562427391/18446744073709551616", + "floor_float": 228.13275625535863 + }, + "r=[45/512,23/256],b=[0,1/8],k=[1,5/4]": { + "floor": "545301759248049282029/18446744073709551616", + "floor_float": 29.56086760184513 + }, + "r=[45/512,23/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "134583222773243629447/18446744073709551616", + "floor_float": 7.295771125542568 + }, + "r=[45/512,23/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1228959876406293486507/18446744073709551616", + "floor_float": 66.62204839486103 + }, + "r=[45/512,23/256],b=[0,1/8],k=[3/4,1]": { + "floor": "152815038798926424949/9223372036854775808", + "floor_float": 16.568239705425267 + }, + "r=[45/512,23/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "426603673229136015933/9223372036854775808", + "floor_float": 46.25246293053255 + }, + "r=[45/512,23/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1672174169822774241339/18446744073709551616", + "floor_float": 90.64874338479983 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "945092024480383454031/18446744073709551616", + "floor_float": 51.23354130701777 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "58325045529183975319/4611686018427387904", + "floor_float": 12.647228214611445 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1065173699766942087431/9223372036854775808", + "floor_float": 115.4863639361741 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "264853803689017937797/9223372036854775808", + "floor_float": 28.715506935068255 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "739418442730617368535/9223372036854775808", + "floor_float": 80.16790819843838 + }, + "r=[45/512,23/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2899033361531856980271/18446744073709551616", + "floor_float": 157.1569134340397 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "723937930382725578007/18446744073709551616", + "floor_float": 39.24475384328055 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "178707745779163186441/18446744073709551616", + "floor_float": 9.687766310687799 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1631689614180510522697/18446744073709551616", + "floor_float": 88.4540712258272 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "405763857860291045053/18446744073709551616", + "floor_float": 21.99650281041135 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "566370561652638755961/9223372036854775808", + "floor_float": 61.406019337562626 + }, + "r=[45/512,23/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "555075549707396834409/4611686018427387904", + "floor_float": 120.36282337726905 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "314812052421260434579/9223372036854775808", + "floor_float": 34.131991115975104 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "155411931827064068145/18446744073709551616", + "floor_float": 8.4248977058536 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "709527194723468911439/9223372036854775808", + "floor_float": 76.92709259567306 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "352897415597997388847/18446744073709551616", + "floor_float": 19.130607232793434 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "985154260348692410133/18446744073709551616", + "floor_float": 53.40531946517013 + }, + "r=[45/512,23/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "965446714834919310625/9223372036854775808", + "floor_float": 104.67394256430129 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "151779843368273911213/2305843009213693952", + "floor_float": 65.82401436775686 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "149873276522124197103/9223372036854775808", + "floor_float": 16.24929320028078 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2737376450469785335587/18446744073709551616", + "floor_float": 148.3934747255 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "680548924943707257945/18446744073709551616", + "floor_float": 36.892631145332096 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1900086551699646881261/18446744073709551616", + "floor_float": 103.00389836316239 + }, + "r=[45/512,23/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "58209270039545718549/288230376151711744", + "floor_float": 201.95397451414672 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "414415736050730096953/9223372036854775808", + "floor_float": 44.93104413383809 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "25575263338126035027/2305843009213693952", + "floor_float": 11.09150242923405 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1868188274193355654087/18446744073709551616", + "floor_float": 101.27468927461908 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "232280053904939139331/9223372036854775808", + "floor_float": 25.18385390687851 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1296886179558913978069/18446744073709551616", + "floor_float": 70.30434066721003 + }, + "r=[45/512,23/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "635550815380523435425/4611686018427387904", + "floor_float": 137.81311495209945 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "536669377358836427231/9223372036854775808", + "floor_float": 58.18581048388934 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "132479762997627234713/9223372036854775808", + "floor_float": 14.36348468523922 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2419593556202277226747/18446744073709551616", + "floor_float": 131.1664295083218 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "300790190818740033995/9223372036854775808", + "floor_float": 32.611737834800735 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "419891436535846761881/4611686018427387904", + "floor_float": 91.04944154004487 + }, + "r=[45/512,23/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3292757105217193354001/18446744073709551616", + "floor_float": 178.5007203471781 + }, + "r=[45/512,23/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1368516917909607295005/18446744073709551616", + "floor_float": 74.18745077403815 + }, + "r=[45/512,23/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "337835610678591549813/18446744073709551616", + "floor_float": 18.314105152034802 + }, + "r=[45/512,23/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "385671653338452693987/2305843009213693952", + "floor_float": 167.25841776625072 + }, + "r=[45/512,23/256],b=[7/8,1],k=[3/4,1]": { + "floor": "767006440875050298717/18446744073709551616", + "floor_float": 41.579502475355206 + }, + "r=[45/512,23/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2141568281966889126809/18446744073709551616", + "floor_float": 116.09464919172753 + }, + "r=[45/512,23/256],b=[7/8,1],k=[7/4,2]": { + "floor": "2099574960712011855407/9223372036854775808", + "floor_float": 227.63637337001308 + }, + "r=[47/512,3/32],b=[0,1/8],k=[1,5/4]": { + "floor": "271885169448543192041/9223372036854775808", + "floor_float": 29.477849138270003 + }, + "r=[47/512,3/32],b=[0,1/8],k=[1/2,3/4]": { + "floor": "67050255246104157765/9223372036854775808", + "floor_float": 7.269603240353372 + }, + "r=[47/512,3/32],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1225784837536961588377/18446744073709551616", + "floor_float": 66.44992919286824 + }, + "r=[47/512,3/32],b=[0,1/8],k=[3/4,1]": { + "floor": "152347770570615806949/9223372036854775808", + "floor_float": 16.517578382598487 + }, + "r=[47/512,3/32],b=[0,1/8],k=[5/4,3/2]": { + "floor": "425465134833638769225/9223372036854775808", + "floor_float": 46.12902235034692 + }, + "r=[47/512,3/32],b=[0,1/8],k=[7/4,2]": { + "floor": "1667946043351217545011/18446744073709551616", + "floor_float": 90.41953618949957 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[1,5/4]": { + "floor": "942629872320911165671/18446744073709551616", + "floor_float": 51.100067771003275 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "232517894701905113467/18446744073709551616", + "floor_float": 12.604820328878064 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2125244826966254190009/18446744073709551616", + "floor_float": 115.20975292301964 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[3/4,1]": { + "floor": "132050224454404337287/4611686018427387904", + "floor_float": 28.633828046132734 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1475175281408470612471/18446744073709551616", + "floor_float": 79.96941224499896 + }, + "r=[47/512,3/32],b=[1/2,5/8],k=[7/4,2]": { + "floor": "723061350409402061421/4611686018427387904", + "floor_float": 156.78893739083526 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[1,5/4]": { + "floor": "721979310549867821485/18446744073709551616", + "floor_float": 39.13857684938767 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "178088351207891301815/18446744073709551616", + "floor_float": 9.654188863697863 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "101727192464265476953/1152921504606846976", + "floor_float": 88.23427445648613 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[3/4,1]": { + "floor": "404567232758722468161/18446744073709551616", + "floor_float": 21.93163363367278 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "282457821670021065889/4611686018427387904", + "floor_float": 61.24827677803201 + }, + "r=[47/512,3/32],b=[1/4,3/8],k=[7/4,2]": { + "floor": "553726325809000183871/4611686018427387904", + "floor_float": 120.07025708090684 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[1,5/4]": { + "floor": "313944142976095975575/9223372036854775808", + "floor_float": 34.037892185378304 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "154864107583257796237/18446744073709551616", + "floor_float": 8.39520009408985 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1415457517493048682205/18446744073709551616", + "floor_float": 76.73210577634511 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[3/4,1]": { + "floor": "351837693241265697675/18446744073709551616", + "floor_float": 19.073159568723437 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "491286987019770427259/9223372036854775808", + "floor_float": 53.26544186406929 + }, + "r=[47/512,3/32],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1926104114369034128157/18446744073709551616", + "floor_float": 104.41431326160877 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[1,5/4]": { + "floor": "302792819250961212083/4611686018427387904", + "floor_float": 65.65772648898056 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "298768532972637779785/18446744073709551616", + "floor_float": 16.196274625962047 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "682763928239891032031/4611686018427387904", + "floor_float": 148.05082685848538 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[3/4,1]": { + "floor": "678671395983610498031/18446744073709551616", + "floor_float": 36.79085009646003 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1895541517267853535359/18446744073709551616", + "floor_float": 102.75751155291381 + }, + "r=[47/512,3/32],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1858493329354359254731/9223372036854775808", + "floor_float": 201.49825052358145 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[1,5/4]": { + "floor": "206657156592136048455/4611686018427387904", + "floor_float": 44.8116276273742 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "6372056009904495359/576460752303423488", + "floor_float": 11.05375515062043 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "232954134441390566577/2305843009213693952", + "floor_float": 101.02775146033437 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[3/4,1]": { + "floor": "463215099538773552435/18446744073709551616", + "floor_float": 25.110940862401375 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "646807634180538681129/9223372036854775808", + "floor_float": 70.12702421587494 + }, + "r=[47/512,3/32],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2536141606129309392089/18446744073709551616", + "floor_float": 137.48451195481368 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[1,5/4]": { + "floor": "535294504063837827465/9223372036854775808", + "floor_float": 58.03674642255636 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "264083489843432829047/18446744073709551616", + "floor_float": 14.315994670290175 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2413901576442597758195/18446744073709551616", + "floor_float": 130.8578666672624 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[3/4,1]": { + "floor": "74986993798513730631/2305843009213693952", + "floor_float": 32.52042463380226 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1675482333232687269313/18446744073709551616", + "floor_float": 90.82807928259807 + }, + "r=[47/512,3/32],b=[5/8,3/4],k=[7/4,2]": { + "floor": "102662140183222261321/576460752303423488", + "floor_float": 178.09042466985755 + }, + "r=[47/512,3/32],b=[7/8,1],k=[1,5/4]": { + "floor": "1365115038725526911915/18446744073709551616", + "floor_float": 74.00303453394248 + }, + "r=[47/512,3/32],b=[7/8,1],k=[1/2,3/4]": { + "floor": "336745181581422764555/18446744073709551616", + "floor_float": 18.25499287223021 + }, + "r=[47/512,3/32],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1539185512126572486803/9223372036854775808", + "floor_float": 166.87882761058435 + }, + "r=[47/512,3/32],b=[7/8,1],k=[3/4,1]": { + "floor": "382458731560266934997/9223372036854775808", + "floor_float": 41.46625876436918 + }, + "r=[47/512,3/32],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2136531040302448321087/18446744073709551616", + "floor_float": 115.82157977393146 + }, + "r=[47/512,3/32],b=[7/8,1],k=[7/4,2]": { + "floor": "4189846224150305586797/18446744073709551616", + "floor_float": 227.13201893019746 + }, + "r=[49/512,25/256],b=[0,1/8],k=[1,5/4]": { + "floor": "542217937916676504003/18446744073709551616", + "floor_float": 29.39369331249355 + }, + "r=[49/512,25/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "33403159616499088523/4611686018427387904", + "floor_float": 7.243155644817676 + }, + "r=[49/512,25/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "611280264042561436021/9223372036854775808", + "floor_float": 66.27513902724579 + }, + "r=[49/512,25/256],b=[0,1/8],k=[3/4,1]": { + "floor": "151874712708133935105/9223372036854775808", + "floor_float": 16.466289346377067 + }, + "r=[49/512,25/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "848619706680642363735/18446744073709551616", + "floor_float": 46.0037664798582 + }, + "r=[49/512,25/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1663648532568939384969/18446744073709551616", + "floor_float": 90.18656766317828 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "940133663557380259909/18446744073709551616", + "floor_float": 50.9647480227834 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "231727060380332074389/18446744073709551616", + "floor_float": 12.561949114401784 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2120060983490069220019/18446744073709551616", + "floor_float": 114.9287362050844 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "526675170186851195477/18446744073709551616", + "floor_float": 28.55111818553784 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1471459054761446829957/18446744073709551616", + "floor_float": 79.76795519479137 + }, + "r=[49/512,25/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1442672595585681148391/9223372036854775808", + "floor_float": 156.4148762319297 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "719992688405541213357/18446744073709551616", + "floor_float": 39.03088184714833 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "88730948389444739155/9223372036854775808", + "floor_float": 9.620228701053517 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1623516200363910669381/18446744073709551616", + "floor_float": 88.01098957499818 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "403354954783776430557/18446744073709551616", + "floor_float": 21.86591591296814 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "563438555541029396929/9223372036854775808", + "floor_float": 61.08813059796786 + }, + "r=[49/512,25/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1104710447543436918377/9223372036854775808", + "floor_float": 119.77294671940282 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "313063792024549377185/9223372036854775808", + "floor_float": 33.94244434395666 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "154310169418891846455/18446744073709551616", + "floor_float": 8.36517104602844 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "705901171355459021963/9223372036854775808", + "floor_float": 76.5339583543651 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "350764160329203584955/18446744073709551616", + "floor_float": 19.014963232948816 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "244988525224016075791/4611686018427387904", + "floor_float": 53.12341825637961 + }, + "r=[49/512,25/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1921233450333896136427/18446744073709551616", + "floor_float": 104.15027403519159 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "151007934538681651689/2305843009213693952", + "floor_float": 65.48925227575499 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "297780184536119422301/18446744073709551616", + "floor_float": 16.142696149859756 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "340580002008665760599/2305843009213693952", + "floor_float": 147.70303123316515 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "338383957083820114509/9223372036854775808", + "floor_float": 36.68766214045195 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "945466119339107392603/9223372036854775808", + "floor_float": 102.50764205988995 + }, + "r=[49/512,25/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3708439267187760734941/18446744073709551616", + "floor_float": 201.03489550077612 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "206099064611751372487/4611686018427387904", + "floor_float": 44.690610719858235 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "203202030343202301763/18446744073709551616", + "floor_float": 11.015604137578267 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1859008488541370361075/18446744073709551616", + "floor_float": 100.77705209727739 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "461851545536818531211/18446744073709551616", + "floor_float": 25.037022451840325 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1290297580658247237959/18446744073709551616", + "floor_float": 69.94717200512311 + }, + "r=[49/512,25/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "632494529076221159615/4611686018427387904", + "floor_float": 137.150388501927 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "533900473956547039917/9223372036854775808", + "floor_float": 57.88560537547288 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "65799454350249999929/4611686018427387904", + "floor_float": 14.267982270980365 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2408121670541581979421/18446744073709551616", + "floor_float": 130.54453734053027 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "149547560717629104263/4611686018427387904", + "floor_float": 32.42795804399227 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "417834656285799981035/4611686018427387904", + "floor_float": 90.60344841695968 + }, + "r=[49/512,25/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1638749874334933251895/9223372036854775808", + "floor_float": 177.6736173914282 + }, + "r=[49/512,25/256],b=[7/8,1],k=[1,5/4]": { + "floor": "680833449152762725913/9223372036854775808", + "floor_float": 73.81611046722246 + }, + "r=[49/512,25/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "335642302617726420239/18446744073709551616", + "floor_float": 18.195205683808805 + }, + "r=[49/512,25/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3071261618420845936369/18446744073709551616", + "floor_float": 166.4934259481614 + }, + "r=[49/512,25/256],b=[7/8,1],k=[3/4,1]": { + "floor": "762802392183549402843/18446744073709551616", + "floor_float": 41.351600539127205 + }, + "r=[49/512,25/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2131420699108945311825/18446744073709551616", + "floor_float": 115.54454762272456 + }, + "r=[49/512,25/256],b=[7/8,1],k=[7/4,2]": { + "floor": "522549170234262442537/2305843009213693952", + "floor_float": 226.619578239394 + }, + "r=[5/128,21/512],b=[0,1/8],k=[1,5/4]": { + "floor": "140651999885926393587/4611686018427387904", + "floor_float": 30.499040768150465 + }, + "r=[5/128,21/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "140144897977926268837/18446744073709551616", + "floor_float": 7.597270142521352 + }, + "r=[5/128,21/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1264410215545502684801/18446744073709551616", + "floor_float": 68.54381513036495 + }, + "r=[5/128,21/512],b=[0,1/8],k=[3/4,1]": { + "floor": "316275780942501611409/18446744073709551616", + "floor_float": 17.14534444012049 + }, + "r=[5/128,21/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "109846804106119213105/2305843009213693952", + "floor_float": 47.638457460977634 + }, + "r=[5/128,21/512],b=[0,1/8],k=[7/4,2]": { + "floor": "107446997023936061995/1152921504606846976", + "floor_float": 93.19541408031601 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "973048618403021053319/18446744073709551616", + "floor_float": 52.7490713003287 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "242349086875778053107/18446744073709551616", + "floor_float": 13.137770324529841 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2187500127425102478121/18446744073709551616", + "floor_float": 118.58461952333069 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "546948707968413314835/18446744073709551616", + "floor_float": 29.650148870874673 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1520085501074164696819/18446744073709551616", + "floor_float": 82.4040001314163 + }, + "r=[5/128,21/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2974735586258146508827/18446744073709551616", + "floor_float": 161.26073925955114 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "186527719311450738073/4611686018427387904", + "floor_float": 40.44675170124825 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "185843869808075256513/18446744073709551616", + "floor_float": 10.074616369451421 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1677061347713043700497/18446744073709551616", + "floor_float": 90.9136778290975 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "52426521710590221623/2305843009213693952", + "floor_float": 22.736379493792153 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1165480533460046412835/18446744073709551616", + "floor_float": 63.18082631834735 + }, + "r=[5/128,21/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2280403339015115731539/18446744073709551616", + "floor_float": 123.62091271516934 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "324635446811228742683/9223372036854775808", + "floor_float": 35.197045669853665 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "80865685994688146195/9223372036854775808", + "floor_float": 8.767475243497152 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1459285812192567728263/18446744073709551616", + "floor_float": 79.10804239282278 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "364986730326159677785/18446744073709551616", + "floor_float": 19.785970297400162 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1014173273723606578631/18446744073709551616", + "floor_float": 54.97844333239352 + }, + "r=[5/128,21/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1984202006099982646713/18446744073709551616", + "floor_float": 107.56380628318486 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1249042495121845084399/18446744073709551616", + "floor_float": 67.71072933689098 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "311061073465348174623/18446744073709551616", + "floor_float": 16.86265458134018 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1404182408462681954427/9223372036854775808", + "floor_float": 152.24176178211678 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "175511070188569584417/4611686018427387904", + "floor_float": 38.0578967187406 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1951374546501589071021/18446744073709551616", + "floor_float": 105.78422613249694 + }, + "r=[5/128,21/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "477417579344528731219/2305843009213693952", + "floor_float": 207.0468706832435 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "853758002819008791751/18446744073709551616", + "floor_float": 46.28231407166274 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "26580925151480593861/2305843009213693952", + "floor_float": 11.527638718363939 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1919179378660773775597/18446744073709551616", + "floor_float": 104.03892258666957 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "479909539599497775775/18446744073709551616", + "floor_float": 26.015948271514684 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "333420814336731904213/4611686018427387904", + "floor_float": 72.29911425115415 + }, + "r=[5/128,21/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "652435674205742676147/4611686018427387904", + "floor_float": 141.4744350761822 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "8629396552650521427/144115188075855872", + "floor_float": 59.878467133584756 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "137546045193185701567/9223372036854775808", + "floor_float": 14.912772101524132 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2483332677986093170943/18446744073709551616", + "floor_float": 134.6217342238384 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "310427524706061504633/9223372036854775808", + "floor_float": 33.65661966856095 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "862797043600182940793/9223372036854775808", + "floor_float": 93.54464290853889 + }, + "r=[5/128,21/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1688582410151019150841/9223372036854775808", + "floor_float": 183.0764717506544 + }, + "r=[5/128,21/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1407168885754843192649/18446744073709551616", + "floor_float": 76.28277814947037 + }, + "r=[5/128,21/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "350425631666937041463/18446744073709551616", + "floor_float": 18.996611557394917 + }, + "r=[5/128,21/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "6179911265518545991/36028797018963968", + "floor_float": 171.52699442797697 + }, + "r=[5/128,21/512],b=[7/8,1],k=[3/4,1]": { + "floor": "790900256620321778579/18446744073709551616", + "floor_float": 42.874788822354795 + }, + "r=[5/128,21/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "549621636267892993707/4611686018427387904", + "floor_float": 119.18019441733746 + }, + "r=[5/128,21/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2151658790877700002871/9223372036854775808", + "floor_float": 233.2833135517136 + }, + "r=[5/256,11/512],b=[0,1/8],k=[1,5/4]": { + "floor": "568582010505957060773/18446744073709551616", + "floor_float": 30.82289255133673 + }, + "r=[5/256,11/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "35529689524411499743/4611686018427387904", + "floor_float": 7.704273314020483 + }, + "r=[5/256,11/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "319111301251530763915/4611686018427387904", + "floor_float": 69.19623321631718 + }, + "r=[5/256,11/512],b=[0,1/8],k=[3/4,1]": { + "floor": "159996545249010220575/9223372036854775808", + "floor_float": 17.34686019491522 + }, + "r=[5/256,11/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "27735015884555325205/576460752303423488", + "floor_float": 48.11258316152777 + }, + "r=[5/256,11/512],b=[0,1/8],k=[7/4,2]": { + "floor": "216874244136073512223/2305843009213693952", + "floor_float": 94.05421065939304 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "491381355190894534161/9223372036854775808", + "floor_float": 53.275673281683915 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "122788393359520687311/9223372036854775808", + "floor_float": 13.312744283639702 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2207035582753990647603/18446744073709551616", + "floor_float": 119.6436386787344 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "553004775533570041319/18446744073709551616", + "floor_float": 29.978448951417768 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "383572928821212519605/4611686018427387904", + "floor_float": 83.17412054691728 + }, + "r=[5/256,11/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "3000439878611567328763/18446744073709551616", + "floor_float": 162.6541717401402 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "753783767512143790255/18446744073709551616", + "floor_float": 40.86269991604873 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "188384828915144761833/18446744073709551616", + "floor_float": 10.2123620386555 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1692515328376130231967/18446744073709551616", + "floor_float": 91.75143979952087 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "212095061760264000673/9223372036854775808", + "floor_float": 22.995392673392548 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "294177511337952889519/4611686018427387904", + "floor_float": 63.78957937779753 + }, + "r=[5/256,11/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2300747467341880038697/18446744073709551616", + "floor_float": 124.72377012162943 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "328025181316744664953/9223372036854775808", + "floor_float": 35.56456142135661 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "163970485042454119643/18446744073709551616", + "floor_float": 8.888857805326534 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1472943450845111034471/18446744073709551616", + "floor_float": 79.84842446772826 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "92301176276992129037/4611686018427387904", + "floor_float": 20.014627168496474 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "256024662961686008361/4611686018427387904", + "floor_float": 55.51649915858581 + }, + "r=[5/256,11/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "2002180564497645095887/18446744073709551616", + "floor_float": 108.53842588683003 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "630579582857703900147/9223372036854775808", + "floor_float": 68.36757536593257 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "315101751970511905711/18446744073709551616", + "floor_float": 17.08170020202088 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1416350157071344799811/9223372036854775808", + "floor_float": 153.56099172969374 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "709607936590379290875/18446744073709551616", + "floor_float": 38.46792332321227 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1969080453803017861363/18446744073709551616", + "floor_float": 106.74406529059874 + }, + "r=[5/256,11/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3851349469364375784775/18446744073709551616", + "floor_float": 208.78207308428756 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "431198998477146955203/9223372036854775808", + "floor_float": 46.750689092249644 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107757270741621680033/9223372036854775808", + "floor_float": 11.683066703917492 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1936560871339470217273/18446744073709551616", + "floor_float": 104.98117519283375 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "30330859565979924193/1152921504606846976", + "floor_float": 26.30782706783054 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1346321460895318879943/18446744073709551616", + "floor_float": 72.98423263832814 + }, + "r=[5/256,11/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1316307236734999108265/9223372036854775808", + "floor_float": 142.71431657264773 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "139429227062051438417/2305843009213693952", + "floor_float": 60.46778835546034 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "139355489171796676631/9223372036854775808", + "floor_float": 15.108952410784214 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2505179427905394111121/18446744073709551616", + "floor_float": 135.80604891005106 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "156909232439329272393/4611686018427387904", + "floor_float": 34.024266138750754 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1741485627826624388009/18446744073709551616", + "floor_float": 94.40612505209543 + }, + "r=[5/256,11/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1702952137960843442951/9223372036854775808", + "floor_float": 184.63444076159809 + }, + "r=[5/256,11/512],b=[7/8,1],k=[1,5/4]": { + "floor": "710323360128866388653/9223372036854775808", + "floor_float": 77.01341302189203 + }, + "r=[5/256,11/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "354927312983379430557/18446744073709551616", + "floor_float": 19.240648190551127 + }, + "r=[5/256,11/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "398896204567938258225/2305843009213693952", + "floor_float": 172.99365263551235 + }, + "r=[5/256,11/512],b=[7/8,1],k=[3/4,1]": { + "floor": "799318069315549889409/18446744073709551616", + "floor_float": 43.33111936294191 + }, + "r=[5/256,11/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2218175274763118652149/18446744073709551616", + "floor_float": 120.2475225925902 + }, + "r=[5/256,11/512],b=[7/8,1],k=[7/4,2]": { + "floor": "542362260673261814313/2305843009213693952", + "floor_float": 235.21213651843996 + }, + "r=[5/64,41/512],b=[0,1/8],k=[1,5/4]": { + "floor": "549036079052700772815/18446744073709551616", + "floor_float": 29.763305484093067 + }, + "r=[5/64,41/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "67882900391216406571/9223372036854775808", + "floor_float": 7.359878807877393 + }, + "r=[5/64,41/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1236677214609701025905/18446744073709551616", + "floor_float": 67.04040613715802 + }, + "r=[5/64,41/512],b=[0,1/8],k=[3/4,1]": { + "floor": "307913201213197942149/18446744073709551616", + "floor_float": 16.69200808461577 + }, + "r=[5/64,41/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "214687691434314182971/4611686018427387904", + "floor_float": 46.55297229179621 + }, + "r=[5/64,41/512],b=[0,1/8],k=[7/4,2]": { + "floor": "841218716669962947499/9223372036854775808", + "floor_float": 91.20511601490419 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "29721946516688522153/576460752303423488", + "floor_float": 51.55935837422667 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "29402389598799426199/2305843009213693952", + "floor_float": 12.751253871713415 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "535687771332597545195/4611686018427387904", + "floor_float": 116.15876909054407 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "533393151875342790301/18446744073709551616", + "floor_float": 28.915300702606864 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "92984746781604768219/1152921504606846976", + "floor_float": 80.65141157490433 + }, + "r=[5/64,41/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2915522602887096692705/18446744073709551616", + "floor_float": 158.05079699903914 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "728713528668242547161/18446744073709551616", + "floor_float": 39.503639545084326 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "180225011196103830761/18446744073709551616", + "floor_float": 9.770017433752006 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "820772180530128119623/9223372036854775808", + "floor_float": 88.98829812464295 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "408687861168477184981/18446744073709551616", + "floor_float": 22.15501334736586 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "142477998569317396517/2305843009213693952", + "floor_float": 61.78998223209621 + }, + "r=[5/64,41/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2233402416208472248255/18446744073709551616", + "floor_float": 121.07298758438002 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "316929632935665729219/9223372036854775808", + "floor_float": 34.361579655388226 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78377540346355021283/9223372036854775808", + "floor_float": 8.49770995175884 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "89237636113831987461/1152921504606846976", + "floor_float": 77.40131115367004 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "177744112466118953341/9223372036854775808", + "floor_float": 19.2710552882274 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "991438918309976783361/18446744073709551616", + "floor_float": 53.74601145591777 + }, + "r=[5/64,41/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1942525765351094724833/18446744073709551616", + "floor_float": 105.3045327451362 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1221720448901657676265/18446744073709551616", + "floor_float": 66.22959824345715 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "302144856521531092165/18446744073709551616", + "floor_float": 16.37930549229825 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "344094805756542936507/2305843009213693952", + "floor_float": 149.2273343768886 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "685140485242095399405/18446744073709551616", + "floor_float": 37.141540127862626 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "955580554133187810921/9223372036854775808", + "floor_float": 103.60425127761044 + }, + "r=[5/64,41/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "936453771705795907799/4611686018427387904", + "floor_float": 203.0610427431337 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "26068884922414419225/576460752303423488", + "floor_float": 45.22230666745012 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "206309286343340752393/18446744073709551616", + "floor_float": 11.184048822869203 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "469816173316902886799/4611686018427387904", + "floor_float": 101.87514315580248 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "467844443675059239025/18446744073709551616", + "floor_float": 25.36189811088857 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1304850513588053863237/18446744073709551616", + "floor_float": 70.73608808004971 + }, + "r=[5/64,41/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "639230572908695848229/4611686018427387904", + "floor_float": 138.61103517335235 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1080048986112008302843/18446744073709551616", + "floor_float": 58.54957285667029 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "267107696955571822711/18446744073709551616", + "floor_float": 14.479937266341537 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1216710830239957530573/9223372036854775808", + "floor_float": 131.9160525432804 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "302849648044281016129/9223372036854775808", + "floor_float": 32.83502463460799 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "844752418807317096945/9223372036854775808", + "floor_float": 91.5882407683278 + }, + "r=[5/64,41/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "827785773014746742673/4611686018427387904", + "floor_float": 179.49742669103622 + }, + "r=[5/64,41/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1376821894810477625003/18446744073709551616", + "floor_float": 74.63766447395642 + }, + "r=[5/64,41/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "170251655400653953129/9223372036854775808", + "floor_float": 18.458721465464247 + }, + "r=[5/64,41/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3102417981929068964373/18446744073709551616", + "floor_float": 168.18241579827955 + }, + "r=[5/64,41/512],b=[7/8,1],k=[3/4,1]": { + "floor": "193028961132794014469/4611686018427387904", + "floor_float": 41.856483802559055 + }, + "r=[5/64,41/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "538461646939758436427/4611686018427387904", + "floor_float": 116.76025748244176 + }, + "r=[5/64,41/512],b=[7/8,1],k=[7/4,2]": { + "floor": "2110884562164272504015/9223372036854775808", + "floor_float": 228.86256281646172 + }, + "r=[51/512,13/128],b=[0,1/8],k=[1,5/4]": { + "floor": "67580443622806429341/2305843009213693952", + "floor_float": 29.308345517352354 + }, + "r=[51/512,13/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "66559699546959618243/9223372036854775808", + "floor_float": 7.216417084879606 + }, + "r=[51/512,13/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1219283783512627226753/18446744073709551616", + "floor_float": 66.0975063480368 + }, + "r=[51/512,13/128],b=[0,1/8],k=[3/4,1]": { + "floor": "151395596021841045323/9223372036854775808", + "floor_float": 16.414343411161784 + }, + "r=[51/512,13/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "211568441149317384013/4611686018427387904", + "floor_float": 45.8765927046923 + }, + "r=[51/512,13/128],b=[0,1/8],k=[7/4,2]": { + "floor": "103704863692573224551/1152921504606846976", + "floor_float": 89.9496308102408 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "468799162102935831631/9223372036854775808", + "floor_float": 50.82730700113872 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "57731906656914464813/4611686018427387904", + "floor_float": 12.518611723831404 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "1057398343045835515767/9223372036854775808", + "floor_float": 114.64335807128676 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "131282592048939483547/4611686018427387904", + "floor_float": 28.46737430179768 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "733843027692806251289/9223372036854775808", + "floor_float": 79.56342048878807 + }, + "r=[51/512,13/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2878333191990943093621/18446744073709551616", + "floor_float": 156.03475499468584 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "358989994204440688231/9223372036854775808", + "floor_float": 38.921773161701324 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "176828607305869314711/18446744073709551616", + "floor_float": 9.585898009930483 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1619337305009705811741/18446744073709551616", + "floor_float": 87.78445120391724 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "50265966125758746503/2305843009213693952", + "floor_float": 21.79938787025216 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1123882312612575709903/18446744073709551616", + "floor_float": 60.92578224762937 + }, + "r=[51/512,13/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "550962603502085885125/4611686018427387904", + "floor_float": 119.47097033504622 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "624341972934157812295/18446744073709551616", + "floor_float": 33.845646171454995 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "153750004342330513025/18446744073709551616", + "floor_float": 8.334804436380525 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "88005556896227419467/1152921504606846976", + "floor_float": 76.33265278214915 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "174838368101418340583/9223372036854775808", + "floor_float": 18.956013852937808 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "977294631648771620167/18446744073709551616", + "floor_float": 52.97924813960095 + }, + "r=[51/512,13/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1916281669971550099883/18446744073709551616", + "floor_float": 103.88183748386525 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "602456713843226020167/9223372036854775808", + "floor_float": 65.31848779773036 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "296781330463942813661/18446744073709551616", + "floor_float": 16.088548162107262 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1359063051228736068933/9223372036854775808", + "floor_float": 147.3499112686974 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "168710054696886369797/4611686018427387904", + "floor_float": 36.5831615645025 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1886256073628374447523/18446744073709551616", + "floor_float": 102.25414664459306 + }, + "r=[51/512,13/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3699754242524243100525/18446744073709551616", + "floor_float": 200.56407937036232 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "822132824048120033929/18446744073709551616", + "floor_float": 44.56790969523073 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "101245366219144238867/9223372036854775808", + "floor_float": 10.977044600888668 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "927155460115922511983/9223372036854775808", + "floor_float": 100.52239640894807 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "115117695154467481447/4611686018427387904", + "floor_float": 24.962171035599535 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1286930295693152955925/18446744073709551616", + "floor_float": 69.76463112139645 + }, + "r=[51/512,13/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2523712600797852908003/18446744073709551616", + "floor_float": 136.81073422570373 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "133121573094153655267/2305843009213693952", + "floor_float": 57.732279501347705 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "262302794850561589459/18446744073709551616", + "floor_float": 14.219463001299923 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2402256320392899979333/18446744073709551616", + "floor_float": 130.22657607185081 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "596463996433106827119/18446744073709551616", + "floor_float": 32.33437803710803 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1667137843455784072981/18446744073709551616", + "floor_float": 90.375723585378 + }, + "r=[51/512,13/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "817422480046901812999/4611686018427387904", + "floor_float": 177.25024574106797 + }, + "r=[51/512,13/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1358172436665400408327/18446744073709551616", + "floor_float": 73.62667532212791 + }, + "r=[51/512,13/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "167263694068881755313/9223372036854775808", + "floor_float": 18.134766048743238 + }, + "r=[51/512,13/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "95751419214989203301/576460752303423488", + "floor_float": 166.1022347703385 + }, + "r=[51/512,13/128],b=[7/8,1],k=[3/4,1]": { + "floor": "95082642734676776443/2305843009213693952", + "floor_float": 41.23552312743985 + }, + "r=[51/512,13/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1063118672341515352237/9223372036854775808", + "floor_float": 115.26355741625761 + }, + "r=[51/512,13/128],b=[7/8,1],k=[7/4,2]": { + "floor": "1042698071142244956125/4611686018427387904", + "floor_float": 226.0991027957734 + }, + "r=[53/512,27/256],b=[0,1/8],k=[1,5/4]": { + "floor": "269523471756467175267/9223372036854775808", + "floor_float": 29.22179336141972 + }, + "r=[53/512,27/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "132620672217443279317/18446744073709551616", + "floor_float": 7.189381046732 + }, + "r=[53/512,27/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1215955230864052711289/18446744073709551616", + "floor_float": 65.91706514739595 + }, + "r=[53/512,27/256],b=[0,1/8],k=[3/4,1]": { + "floor": "301820693175393398085/18446744073709551616", + "floor_float": 16.36173256209212 + }, + "r=[53/512,27/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "843892364008961864869/18446744073709551616", + "floor_float": 45.74749672012223 + }, + "r=[53/512,27/256],b=[0,1/8],k=[7/4,2]": { + "floor": "827417813085506605091/9223372036854775808", + "floor_float": 89.70881905005113 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "58439270280377601317/1152921504606846976", + "floor_float": 50.68798703716237 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "230119788262383858065/18446744073709551616", + "floor_float": 12.474818718299042 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "263681885348458785425/2305843009213693952", + "floor_float": 114.35378917594909 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "261783396066832845657/9223372036854775808", + "floor_float": 28.382612673629342 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "365964292312836369737/4611686018427387904", + "floor_float": 79.35585615553947 + }, + "r=[53/512,27/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2871214939837741311813/18446744073709551616", + "floor_float": 155.6488737722458 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "357970121347309818589/9223372036854775808", + "floor_float": 38.8111983249653 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "44047211990147452317/4611686018427387904", + "floor_float": 9.551216586329485 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "403773167500671416759/4611686018427387904", + "floor_float": 87.55434907911628 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "400885831074008191167/18446744073709551616", + "floor_float": 21.73206444845483 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "560421719284425931577/9223372036854775808", + "floor_float": 60.76104455562361 + }, + "r=[53/512,27/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "137386597291493288869/1152921504606846976", + "floor_float": 119.16387780306252 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "155633137367333564677/4611686018427387904", + "floor_float": 33.7475571288796 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "153183729667271386121/18446744073709551616", + "floor_float": 8.304106624734393 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1404321617844579010033/18446744073709551616", + "floor_float": 76.12842744677255 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "174287902597469858555/9223372036854775808", + "floor_float": 18.89633226341188 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "15228092934193213459/288230376151711744", + "floor_float": 52.83306061460301 + }, + "r=[53/512,27/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1911255825830648705115/18446744073709551616", + "floor_float": 103.60938592705831 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1201721346815029663997/18446744073709551616", + "floor_float": 65.14544474695307 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "295771919554635409863/18446744073709551616", + "floor_float": 16.03382788706718 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1355756892955483383075/9223372036854775808", + "floor_float": 146.99145687045325 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "5256944637287658893/144115188075855872", + "floor_float": 36.47738109685313 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "940756669253671141291/9223372036854775808", + "floor_float": 101.99704245850575 + }, + "r=[53/512,27/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "922733039683311515111/4611686018427387904", + "floor_float": 200.0858332497599 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "819838313120425997043/18446744073709551616", + "floor_float": 44.44352400860085 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "100885893456436396969/9223372036854775808", + "floor_float": 10.938070485860948 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "462383979549884042747/4611686018427387904", + "floor_float": 100.26354303009546 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "459072715825586343555/18446744073709551616", + "floor_float": 24.886381791346068 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "40109800158280030221/576460752303423488", + "floor_float": 69.57941195130662 + }, + "r=[53/512,27/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "629336467225656090883/4611686018427387904", + "floor_float": 136.46559299808175 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "531053294593516250467/9223372036854775808", + "floor_float": 57.57691357038749 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "261398482448367653439/18446744073709551616", + "floor_float": 14.17044012774671 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2396300934914550529633/18446744073709551616", + "floor_float": 129.90373397817004 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "594717268683566203461/18446744073709551616", + "floor_float": 32.2396877360684 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "831434764465030936167/9223372036854775808", + "floor_float": 90.14433779129602 + }, + "r=[53/512,27/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3261754713236003911143/18446744073709551616", + "floor_float": 176.82007731026545 + }, + "r=[53/512,27/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1354632154456629709017/18446744073709551616", + "floor_float": 73.43475623902987 + }, + "r=[53/512,27/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "333400717205076725289/18446744073709551616", + "floor_float": 18.073689095098473 + }, + "r=[53/512,27/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "764180913557752564557/4611686018427387904", + "floor_float": 165.70532133025455 + }, + "r=[53/512,27/256],b=[7/8,1],k=[3/4,1]": { + "floor": "189623546104917105085/4611686018427387904", + "floor_float": 41.118052128271266 + }, + "r=[53/512,27/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1060490718399443092033/9223372036854775808", + "floor_float": 114.97863407893895 + }, + "r=[53/512,27/256],b=[7/8,1],k=[7/4,2]": { + "floor": "1040261369846515433053/4611686018427387904", + "floor_float": 225.57072742806776 + }, + "r=[55/512,7/64],b=[0,1/8],k=[1,5/4]": { + "floor": "268714821101194549417/9223372036854775808", + "floor_float": 29.13411928169688 + }, + "r=[55/512,7/64],b=[0,1/8],k=[1/2,3/4]": { + "floor": "132116739912883508117/18446744073709551616", + "floor_float": 7.162062821762532 + }, + "r=[55/512,7/64],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1212577998540638729717/18446744073709551616", + "floor_float": 65.73398501629427 + }, + "r=[55/512,7/64],b=[0,1/8],k=[3/4,1]": { + "floor": "9401207373780671089/576460752303423488", + "floor_float": 16.308495133823595 + }, + "r=[55/512,7/64],b=[0,1/8],k=[5/4,3/2]": { + "floor": "105184791436074339469/2305843009213693952", + "floor_float": 45.61663175497059 + }, + "r=[55/512,7/64],b=[0,1/8],k=[7/4,2]": { + "floor": "825162105987010769173/9223372036854775808", + "floor_float": 89.46425479638312 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[1,5/4]": { + "floor": "233106426938260843665/4611686018427387904", + "floor_float": 50.546898901359185 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "114651875819789160453/9223372036854775808", + "floor_float": 12.430581284335368 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "65751054491453136423/576460752303423488", + "floor_float": 114.05989779655404 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[3/4,1]": { + "floor": "130496315710794886671/4611686018427387904", + "floor_float": 28.296877798999617 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "729987545954962940141/9223372036854775808", + "floor_float": 79.14540832117328 + }, + "r=[55/512,7/64],b=[1/2,5/8],k=[7/4,2]": { + "floor": "178998995106471556753/1152921504606846976", + "floor_float": 155.2568794937269 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[1,5/4]": { + "floor": "713872837174160369787/18446744073709551616", + "floor_float": 38.69912404713077 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "87771106905708098105/9223372036854775808", + "floor_float": 9.516162478862618 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1610783906328040057925/18446744073709551616", + "floor_float": 87.32077053227742 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[3/4,1]": { + "floor": "99907118960260171403/4611686018427387904", + "floor_float": 21.66390308469636 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1117760791967192817527/18446744073709551616", + "floor_float": 60.59393394849742 + }, + "r=[55/512,7/64],b=[1/4,3/8],k=[7/4,2]": { + "floor": "548107276407132142653/4611686018427387904", + "floor_float": 118.8518199671451 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[1,5/4]": { + "floor": "620699686660932799329/18446744073709551616", + "floor_float": 33.64819743694276 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "76305920715253927285/9223372036854775808", + "floor_float": 8.273104501298496 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "350124200963311671829/4611686018427387904", + "floor_float": 75.92108386483477 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[3/4,1]": { + "floor": "347462173019662344271/18446744073709551616", + "floor_float": 18.835962142222606 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "485931531942094845759/9223372036854775808", + "floor_float": 52.68480226108285 + }, + "r=[55/512,7/64],b=[1/8,1/4],k=[7/4,2]": { + "floor": "953074070536749881831/9223372036854775808", + "floor_float": 103.33249778155471 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[1,5/4]": { + "floor": "299621949018710687349/4611686018427387904", + "floor_float": 64.97015361008543 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "294751165238670564615/18446744073709551616", + "floor_float": 15.978492684720026 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "338099307592847633905/2305843009213693952", + "floor_float": 146.6272015232041 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[3/4,1]": { + "floor": "167728501263881945007/4611686018427387904", + "floor_float": 36.37032109160769 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "938352546377578146899/9223372036854775808", + "floor_float": 101.73638693398753 + }, + "r=[55/512,7/64],b=[3/4,7/8],k=[7/4,2]": { + "floor": "460247207614363057985/2305843009213693952", + "floor_float": 199.60040895035178 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[1,5/4]": { + "floor": "817513892051036612539/18446744073709551616", + "floor_float": 44.317516889940705 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "201045312124091471377/18446744073709551616", + "floor_float": 10.898688208648315 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1844691943689393957113/18446744073709551616", + "floor_float": 100.00095064572744 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[3/4,1]": { + "floor": "228828970948919940655/9223372036854775808", + "floor_float": 24.80968674304414 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1280050040919631391805/18446744073709551616", + "floor_float": 69.39165176276116 + }, + "r=[55/512,7/64],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1255441534584424236395/9223372036854775808", + "floor_float": 136.11524392249683 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[1,5/4]": { + "floor": "264800593329833961647/4611686018427387904", + "floor_float": 57.41947571273131 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "260484782486642191755/18446744073709551616", + "floor_float": 14.120908353571577 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2390256313207697193203/18446744073709551616", + "floor_float": 129.57605437884888 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[3/4,1]": { + "floor": "592949409325586481239/18446744073709551616", + "floor_float": 32.14385188823987 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1658538427727023582073/18446744073709551616", + "floor_float": 89.9095483246166 + }, + "r=[55/512,7/64],b=[5/8,3/4],k=[7/4,2]": { + "floor": "406712005963970647901/2305843009213693952", + "floor_float": 176.38321617682976 + }, + "r=[55/512,7/64],b=[7/8,1],k=[1,5/4]": { + "floor": "1351046629159371608045/18446744073709551616", + "floor_float": 73.24038452319041 + }, + "r=[55/512,7/64],b=[7/8,1],k=[1/2,3/4]": { + "floor": "166131096233696081673/9223372036854775808", + "floor_float": 18.011969545397168 + }, + "r=[55/512,7/64],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3049295829557443037741/18446744073709551616", + "floor_float": 165.3026581478584 + }, + "r=[55/512,7/64],b=[7/8,1],k=[3/4,1]": { + "floor": "756301497133806396421/18446744073709551616", + "floor_float": 40.99918631232562 + }, + "r=[55/512,7/64],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1057827158486329864543/9223372036854775808", + "floor_float": 114.68985033450468 + }, + "r=[55/512,7/64],b=[7/8,1],k=[7/4,2]": { + "floor": "4151140911062858744635/18446744073709551616", + "floor_float": 225.03379970339037 + }, + "r=[57/512,29/256],b=[0,1/8],k=[1,5/4]": { + "floor": "535790674400321462031/18446744073709551616", + "floor_float": 29.045270659115104 + }, + "r=[57/512,29/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "131607802570925392225/18446744073709551616", + "floor_float": 7.134473273172033 + }, + "r=[57/512,29/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1209148419924236319863/18446744073709551616", + "floor_float": 65.5480671869636 + }, + "r=[57/512,29/256],b=[0,1/8],k=[3/4,1]": { + "floor": "9370149656718293085/576460752303423488", + "floor_float": 16.254618582925243 + }, + "r=[57/512,29/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "839029092609692690555/18446744073709551616", + "floor_float": 45.483858249298514 + }, + "r=[57/512,29/256],b=[0,1/8],k=[7/4,2]": { + "floor": "205717417151421108323/2305843009213693952", + "floor_float": 89.21570823747102 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "232446757579858192031/4611686018427387904", + "floor_float": 50.40385591105873 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "228479574414877701443/18446744073709551616", + "floor_float": 12.385902547458693 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2098533060721703583941/18446744073709551616", + "floor_float": 113.7617051733563 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "520385263347960160841/18446744073709551616", + "floor_float": 28.21014165256499 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1456038972173491720967/18446744073709551616", + "floor_float": 78.93203084270303 + }, + "r=[57/512,29/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1428320779197850252375/9223372036854775808", + "floor_float": 154.85884918124978 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "711778787143630590021/18446744073709551616", + "floor_float": 38.585605367511086 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "174889017632192414915/18446744073709551616", + "floor_float": 9.480752643033936 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "401602736590065796457/4611686018427387904", + "floor_float": 87.08371189741463 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "99589119631983374511/4611686018427387904", + "floor_float": 21.594947972183036 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1114635175462178524945/18446744073709551616", + "floor_float": 60.42449393824277 + }, + "r=[57/512,29/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "546645460461778243027/4611686018427387904", + "floor_float": 118.53483916239978 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "154710636996481633411/4611686018427387904", + "floor_float": 33.54752174764033 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "152034022123304821883/18446744073709551616", + "floor_float": 8.241780853889816 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "174576761803698546239/2305843009213693952", + "floor_float": 75.71060176522175 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "43291882757614262595/2305843009213693952", + "floor_float": 18.774861334717254 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "969089212027351842065/18446744073709551616", + "floor_float": 52.534431450616026 + }, + "r=[57/512,29/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1900959035049148602715/18446744073709551616", + "floor_float": 103.05119578031176 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1195214239576606477145/18446744073709551616", + "floor_float": 64.79269375672834 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "146858825827519025661/9223372036854775808", + "floor_float": 15.922465801086643 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "674494565067601723277/4611686018427387904", + "floor_float": 146.25769455519185 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "83614602390136510565/2305843009213693952", + "floor_float": 36.26205342515906 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "467958089147800411787/4611686018427387904", + "floor_float": 101.47223537724211 + }, + "r=[57/512,29/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3672886525829403876481/18446744073709551616", + "floor_float": 199.1075775298488 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "815159639081059204063/18446744073709551616", + "floor_float": 44.189892580709206 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "200311762703051819865/18446744073709551616", + "floor_float": 10.858922414852481 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "114985961481971973399/1152921504606846976", + "floor_float": 99.73442339527084 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "57028353452957712411/2305843009213693952", + "floor_float": 24.732105882787188 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "638268588219440569205/9223372036854775808", + "floor_float": 69.20121899767733 + }, + "r=[57/512,29/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1252159089647994622109/9223372036854775808", + "floor_float": 135.75936052938272 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1056261722385023216061/18446744073709551616", + "floor_float": 57.26006270615615 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "259561895009577222617/18446744073709551616", + "floor_float": 14.070878523191903 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2384124869817327446185/18446744073709551616", + "floor_float": 129.24366816663334 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "295578938274627163899/9223372036854775808", + "floor_float": 32.04673270183096 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1654148909442064434261/18446744073709551616", + "floor_float": 89.67159206158071 + }, + "r=[57/512,29/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1622757531627654777817/9223372036854775808", + "floor_float": 175.9397241207918 + }, + "r=[57/512,29/256],b=[7/8,1],k=[1,5/4]": { + "floor": "673707772336672648739/9223372036854775808", + "floor_float": 73.043543038779 + }, + "r=[57/512,29/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "165556133736818307169/9223372036854775808", + "floor_float": 17.949631986575913 + }, + "r=[57/512,29/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3041761483300981865675/18446744073709551616", + "floor_float": 164.89422041888275 + }, + "r=[57/512,29/256],b=[7/8,1],k=[3/4,1]": { + "floor": "23565108485427523419/576460752303423488", + "floor_float": 40.878946903611386 + }, + "r=[57/512,29/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "527563625959715322457/4611686018427387904", + "floor_float": 114.39712587797068 + }, + "r=[57/512,29/256],b=[7/8,1],k=[7/4,2]": { + "floor": "129408723444541533819/576460752303423488", + "floor_float": 224.48835055543643 + }, + "r=[59/512,15/128],b=[0,1/8],k=[1,5/4]": { + "floor": "267064740741260073433/9223372036854775808", + "floor_float": 28.95521721059522 + }, + "r=[59/512,15/128],b=[0,1/8],k=[1/2,3/4]": { + "floor": "131093519296168803009/18446744073709551616", + "floor_float": 7.106593920983831 + }, + "r=[59/512,15/128],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1205665856772177219011/18446744073709551616", + "floor_float": 65.35927706019957 + }, + "r=[59/512,15/128],b=[0,1/8],k=[3/4,1]": { + "floor": "298838715695135960645/18446744073709551616", + "floor_float": 16.200079238972222 + }, + "r=[59/512,15/128],b=[0,1/8],k=[5/4,3/2]": { + "floor": "209136039444187204917/4611686018427387904", + "floor_float": 45.349149662080386 + }, + "r=[59/512,15/128],b=[0,1/8],k=[7/4,2]": { + "floor": "1641080110844380247651/18446744073709551616", + "floor_float": 88.96313107001147 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[1,5/4]": { + "floor": "115888949987825710211/2305843009213693952", + "floor_float": 50.258820537545844 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "227647124791990536901/18446744073709551616", + "floor_float": 12.340775362977745 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "65404695545170154403/576460752303423488", + "floor_float": 113.45906080132237 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[3/4,1]": { + "floor": "518766568152846680907/18446744073709551616", + "floor_float": 28.122392010208294 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "726023738123442781471/9223372036854775808", + "floor_float": 78.71565141494835 + }, + "r=[59/512,15/128],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2849184258118068400367/18446744073709551616", + "floor_float": 154.4545881231555 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[1,5/4]": { + "floor": "709656812034449648881/18446744073709551616", + "floor_float": 38.47057286634438 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "87114503745860406483/9223372036854775808", + "floor_float": 9.444973421625846 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1601967090440951956295/18446744073709551616", + "floor_float": 86.84280998531814 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[3/4,1]": { + "floor": "99267260911551129843/4611686018427387904", + "floor_float": 21.525155987397827 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1111464831199980311613/18446744073709551616", + "floor_float": 60.252629231412655 + }, + "r=[59/512,15/128],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2180641365275466901237/18446744073709551616", + "floor_float": 118.21280528217088 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[1,5/4]": { + "floor": "308480220935671435935/9223372036854775808", + "floor_float": 33.44549257072634 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "75725083588217182483/9223372036854775808", + "floor_float": 8.210130013799148 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1392672043499532478567/18446744073709551616", + "floor_float": 75.49690275610101 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[3/4,1]": { + "floor": "86298555518525565915/4611686018427387904", + "floor_float": 18.71301627510927 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "966275317846870688435/18446744073709551616", + "floor_float": 52.38188994143493 + }, + "r=[59/512,15/128],b=[1/8,1/4],k=[7/4,2]": { + "floor": "947841387498622144219/9223372036854775808", + "floor_float": 102.7651691497681 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[1,5/4]": { + "floor": "595949432479334450541/9223372036854775808", + "floor_float": 64.61296693855978 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "292673814799130214067/18446744073709551616", + "floor_float": 15.865879291741857 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1345531262361773085673/9223372036854775808", + "floor_float": 145.88279177997975 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[3/4,1]": { + "floor": "325633011321627355/9007199254740992", + "floor_float": 36.15252667472949 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "58340400861809599219/576460752303423488", + "floor_float": 101.20446297287866 + }, + "r=[59/512,15/128],b=[3/4,7/8],k=[7/4,2]": { + "floor": "114489251355856439797/576460752303423488", + "floor_float": 198.60719207401365 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[1,5/4]": { + "floor": "812774332896964246473/18446744073709551616", + "floor_float": 44.06058487336726 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "99785362430402237363/9223372036854775808", + "floor_float": 10.818750672929554 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "917392419310729484491/9223372036854775808", + "floor_float": 99.46388540384257 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[3/4,1]": { + "floor": "56847316720155419547/2305843009213693952", + "floor_float": 24.653593715185618 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "318242729825115271253/4611686018427387904", + "floor_float": 69.00789181082148 + }, + "r=[59/512,15/128],b=[3/8,1/2],k=[7/4,2]": { + "floor": "624412391589271864007/4611686018427387904", + "floor_float": 135.3978542975916 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1053283124787175343581/18446744073709551616", + "floor_float": 57.09859260682881 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "129314932386342926191/9223372036854775808", + "floor_float": 14.020353062808912 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2377902739957531864737/18446744073709551616", + "floor_float": 128.90636583105947 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[3/4,1]": { + "floor": "589344815662637444239/18446744073709551616", + "floor_float": 31.948446474225033 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "824848969496452488419/9223372036854775808", + "floor_float": 89.43030447004834 + }, + "r=[59/512,15/128],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1618603607739001079871/9223372036854775808", + "floor_float": 175.48935479035003 + }, + "r=[59/512,15/128],b=[7/8,1],k=[1,5/4]": { + "floor": "1343738867480666518349/18446744073709551616", + "floor_float": 72.8442299687875 + }, + "r=[59/512,15/128],b=[7/8,1],k=[1/2,3/4]": { + "floor": "164975444413557937679/9223372036854775808", + "floor_float": 17.88667352399411 + }, + "r=[59/512,15/128],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3034119038443685649957/18446744073709551616", + "floor_float": 164.4799226530137 + }, + "r=[59/512,15/128],b=[7/8,1],k=[3/4,1]": { + "floor": "46990006845409118149/1152921504606846976", + "floor_float": 40.75733400552103 + }, + "r=[59/512,15/128],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2104781770960909574731/18446744073709551616", + "floor_float": 114.10044843418528 + }, + "r=[59/512,15/128],b=[7/8,1],k=[7/4,2]": { + "floor": "2065432268676730525347/9223372036854775808", + "floor_float": 223.93461528209752 + }, + "r=[61/512,31/256],b=[0,1/8],k=[1,5/4]": { + "floor": "133111573888290064325/4611686018427387904", + "floor_float": 28.863971518529766 + }, + "r=[61/512,31/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "130573905898231664067/18446744073709551616", + "floor_float": 7.078425622239029 + }, + "r=[61/512,31/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1202133389085923264587/18446744073709551616", + "floor_float": 65.16778160321601 + }, + "r=[61/512,31/256],b=[0,1/8],k=[3/4,1]": { + "floor": "148910263331438748465/9223372036854775808", + "floor_float": 16.144883100933445 + }, + "r=[61/512,31/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "834024766020770455173/18446744073709551616", + "floor_float": 45.21257316132169 + }, + "r=[61/512,31/256],b=[0,1/8],k=[7/4,2]": { + "floor": "818176261527907801005/9223372036854775808", + "floor_float": 88.7068480224626 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "924401263284410519783/18446744073709551616", + "floor_float": 50.11189289506513 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "226806287070543238241/18446744073709551616", + "floor_float": 12.295193458762698 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "521821290191240333965/4611686018427387904", + "floor_float": 113.15195529490633 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "517128941546391264197/18446744073709551616", + "floor_float": 28.033616093986343 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1448000289683951279103/18446744073709551616", + "floor_float": 78.49625299174899 + }, + "r=[61/512,31/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "710403082882008144947/4611686018427387904", + "floor_float": 154.0441131602146 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "707506968862392514451/18446744073709551616", + "floor_float": 38.354029634462 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "173562175976779634219/18446744073709551616", + "floor_float": 9.408824412766796 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "399364395979145618813/4611686018427387904", + "floor_float": 86.59834914679018 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "197883106490860118523/9223372036854775808", + "floor_float": 21.454529395557095 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "554124920588435520385/9223372036854775808", + "floor_float": 60.07834427303394 + }, + "r=[61/512,31/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2174610175871472174715/18446744073709551616", + "floor_float": 117.88585384944675 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "615053676164966366403/18446744073709551616", + "floor_float": 33.34212659466262 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "150860265273590378323/18446744073709551616", + "floor_float": 8.17815136756831 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "694336021853143993017/9223372036854775808", + "floor_float": 75.28006233281214 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "344039713458733527735/18446744073709551616", + "floor_float": 18.650430237662466 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "963422109540902935679/18446744073709551616", + "floor_float": 52.22721720924073 + }, + "r=[61/512,31/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1890325042348284791369/18446744073709551616", + "floor_float": 102.47472588088817 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "594270586178036997231/9223372036854775808", + "floor_float": 64.43094605784619 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "291619391964435296329/18446744073709551616", + "floor_float": 15.80871891533713 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1342023137651946528453/9223372036854775808", + "floor_float": 145.50244013680535 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "664852437256495500477/18446744073709551616", + "floor_float": 36.04172284278875 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "465471441197442773945/4611686018427387904", + "floor_float": 100.93302955524524 + }, + "r=[61/512,31/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3654285009199497190369/18446744073709551616", + "floor_float": 198.09918729276532 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "810357863729824152671/18446744073709551616", + "floor_float": 43.929587817329384 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "99411087919070030815/9223372036854775808", + "floor_float": 10.778171749100322 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "228715071871237686259/2305843009213693952", + "floor_float": 99.18935112118967 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "453312981764669494395/18446744073709551616", + "floor_float": 24.574145982256827 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "158669334234944971677/2305843009213693952", + "floor_float": 68.81185475374238 + }, + "r=[61/512,31/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1245438981931890765831/9223372036854775808", + "floor_float": 135.03076499086907 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "262566550048886420015/4611686018427387904", + "floor_float": 56.93504479700532 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "128844263311275032189/9223372036854775808", + "floor_float": 13.969323019437876 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2371589578474858437173/18446744073709551616", + "floor_float": 128.56412866132115 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "146877628715305549155/4611686018427387904", + "floor_float": 31.849008828530717 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1645185230251989361057/18446744073709551616", + "floor_float": 89.18567003901359 + }, + "r=[61/512,31/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3228772141114520579951/18446744073709551616", + "floor_float": 175.03208849285184 + }, + "r=[61/512,31/256],b=[7/8,1],k=[1,5/4]": { + "floor": "1340015564941387746531/18446744073709551616", + "floor_float": 72.64238933369215 + }, + "r=[61/512,31/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "164388880201507711443/9223372036854775808", + "floor_float": 17.823078104693398 + }, + "r=[61/512,31/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1513183463739689597231/9223372036854775808", + "floor_float": 164.0596798755712 + }, + "r=[61/512,31/256],b=[7/8,1],k=[3/4,1]": { + "floor": "749570744872996838405/18446744073709551616", + "floor_float": 40.63431150114405 + }, + "r=[61/512,31/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "524808687894408511671/4611686018427387904", + "floor_float": 113.79974391087696 + }, + "r=[61/512,31/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4120495588127006079181/18446744073709551616", + "floor_float": 223.3725134182118 + }, + "r=[63/512,1/8],b=[0,1/8],k=[1,5/4]": { + "floor": "265371876320042125139/9223372036854775808", + "floor_float": 28.771676482274426 + }, + "r=[63/512,1/8],b=[0,1/8],k=[1/2,3/4]": { + "floor": "130049401760564251999/18446744073709551616", + "floor_float": 7.049992195962197 + }, + "r=[63/512,1/8],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1198551822933540460731/18446744073709551616", + "floor_float": 64.97362451305031 + }, + "r=[63/512,1/8],b=[0,1/8],k=[3/4,1]": { + "floor": "18549466013635204103/1152921504606846976", + "floor_float": 16.089097080343453 + }, + "r=[63/512,1/8],b=[0,1/8],k=[5/4,3/2]": { + "floor": "51967085616983990017/1152921504606846976", + "floor_float": 45.0742616989394 + }, + "r=[63/512,1/8],b=[0,1/8],k=[7/4,2]": { + "floor": "407888326549557672655/4611686018427387904", + "floor_float": 88.44668195530146 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[1,5/4]": { + "floor": "460828627987679024827/9223372036854775808", + "floor_float": 49.96313996077559 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "28244659118839437163/2305843009213693952", + "floor_float": 12.249168311103292 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "520385384776361055211/4611686018427387904", + "floor_float": 112.84059294084716 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[3/4,1]": { + "floor": "515470244152920805471/18446744073709551616", + "floor_float": 27.943697928111508 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1443899682325313531575/18446744073709551616", + "floor_float": 78.27395862141174 + }, + "r=[63/512,1/8],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2833929806125496118359/18446744073709551616", + "floor_float": 153.62764262363436 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[1,5/4]": { + "floor": "22041599632346402063/576460752303423488", + "floor_float": 38.236080330313065 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "172888843819118686915/18446744073709551616", + "floor_float": 9.372323003359778 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "99555379903032499643/1152921504606846976", + "floor_float": 86.35052733879004 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[3/4,1]": { + "floor": "98612221070535951023/4611686018427387904", + "floor_float": 21.383116863659183 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1104993688983646237089/18446744073709551616", + "floor_float": 59.90182790894205 + }, + "r=[63/512,1/8],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2168490376799760040115/18446744073709551616", + "floor_float": 117.5540988770105 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[1,5/4]": { + "floor": "306561752213773389893/9223372036854775808", + "floor_float": 33.237491775113604 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "150264633592837976401/18446744073709551616", + "floor_float": 8.145862109454661 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "692309224091066060723/9223372036854775808", + "floor_float": 75.06031647912877 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[3/4,1]": { + "floor": "342872328249217441945/18446744073709551616", + "floor_float": 18.587146158648228 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "960532216286693584235/18446744073709551616", + "floor_float": 52.07055578201748 + }, + "r=[63/512,1/8],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1884893293892014044561/18446744073709551616", + "floor_float": 102.180270207054 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1185141854373272275733/18446744073709551616", + "floor_float": 64.24666866075006 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "290554499545563325945/18446744073709551616", + "floor_float": 15.750990981636914 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1338465781779998840287/9223372036854775808", + "floor_float": 145.1167508403384 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[3/4,1]": { + "floor": "662785247888619787183/18446744073709551616", + "floor_float": 35.929660282609255 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1856806466296754388453/18446744073709551616", + "floor_float": 100.65768023220369 + }, + "r=[63/512,1/8],b=[3/4,7/8],k=[7/4,2]": { + "floor": "3644776568559293810263/18446744073709551616", + "floor_float": 197.58373369281242 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[1,5/4]": { + "floor": "807911170683996870331/18446744073709551616", + "floor_float": 43.79695232154483 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "99032394249891407763/9223372036854775808", + "floor_float": 10.737113699217325 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1824586889462786383247/18446744073709551616", + "floor_float": 98.91105347220609 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[3/4,1]": { + "floor": "225915323013486127893/9223372036854775808", + "floor_float": 24.493788400898612 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1265690649095331613887/18446744073709551616", + "floor_float": 68.61322757218734 + }, + "r=[63/512,1/8],b=[3/8,1/2],k=[7/4,2]": { + "floor": "310501331508085291053/2305843009213693952", + "floor_float": 134.65848727228314 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1047207236690298896435/18446744073709551616", + "floor_float": 56.7692180531082 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "256738102756894394449/18446744073709551616", + "floor_float": 13.91780043844158 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "1182594169418316558191/9223372036854775808", + "floor_float": 128.21711676520295 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[3/4,1]": { + "floor": "585655201462395858765/18446744073709551616", + "floor_float": 31.74843208764827 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1640612190891727692895/18446744073709551616", + "floor_float": 88.93776507855071 + }, + "r=[63/512,1/8],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3220215133471259588499/18446744073709551616", + "floor_float": 174.5682121790119 + }, + "r=[63/512,1/8],b=[7/8,1],k=[1,5/4]": { + "floor": "668122930775064106229/9223372036854775808", + "floor_float": 72.43803330337067 + }, + "r=[63/512,1/8],b=[7/8,1],k=[1/2,3/4]": { + "floor": "163796488882684098801/9223372036854775808", + "floor_float": 17.758850909210388 + }, + "r=[63/512,1/8],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1509249247524960264931/9223372036854775808", + "floor_float": 163.63313129886748 + }, + "r=[63/512,1/8],b=[7/8,1],k=[3/4,1]": { + "floor": "186818883107214242541/4611686018427387904", + "floor_float": 40.509887785231435 + }, + "r=[63/512,1/8],b=[7/8,1],k=[5/4,3/2]": { + "floor": "65425437209658300199/576460752303423488", + "floor_float": 113.49504185364079 + }, + "r=[63/512,1/8],b=[7/8,1],k=[7/4,2]": { + "floor": "4109975373706489058407/18446744073709551616", + "floor_float": 222.80221145172493 + }, + "r=[7/128,29/512],b=[0,1/8],k=[1,5/4]": { + "floor": "557440448099897504195/18446744073709551616", + "floor_float": 30.218907243060098 + }, + "r=[7/128,29/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "4326921619701465223/576460752303423488", + "floor_float": 7.506012512407722 + }, + "r=[7/128,29/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "626956358226767878929/9223372036854775808", + "floor_float": 67.97474456430619 + }, + "r=[7/128,29/512],b=[0,1/8],k=[3/4,1]": { + "floor": "78269745232365716269/4611686018427387904", + "floor_float": 16.972045564163572 + }, + "r=[7/128,29/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "871174543755056397317/18446744073709551616", + "floor_float": 47.22646664766501 + }, + "r=[7/128,29/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1705288073171523149863/18446744073709551616", + "floor_float": 92.44385168230926 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "482335961399919639721/9223372036854775808", + "floor_float": 52.29496972176773 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "239603243392882302461/18446744073709551616", + "floor_float": 12.988917851056804 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2170520080037039464103/18446744073709551616", + "floor_float": 117.66412930997846 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "67719429791942547955/2305843009213693952", + "floor_float": 29.36862115996148 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1507781972542118708189/18446744073709551616", + "floor_float": 81.73702451323221 + }, + "r=[7/128,29/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1476161748933916194283/9223372036854775808", + "floor_float": 160.04577751341537 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "739481120748595502569/18446744073709551616", + "floor_float": 40.08735188138214 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "91840426216320637281/9223372036854775808", + "floor_float": 9.95735896257295 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1663595966399719946603/18446744073709551616", + "floor_float": 90.18371804543493 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "207655543824939492677/9223372036854775808", + "floor_float": 22.514059174365826 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1155728713543612272187/18446744073709551616", + "floor_float": 62.65217910139308 + }, + "r=[7/128,29/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2262624441927718229627/18446744073709551616", + "floor_float": 122.6571167728417 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "643401159452190232097/18446744073709551616", + "floor_float": 34.87884674288785 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "159818472143114277743/18446744073709551616", + "floor_float": 8.663776735043928 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "723681535279091994729/9223372036854775808", + "floor_float": 78.46170927372367 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "361354893663205724301/18446744073709551616", + "floor_float": 19.589088037395804 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1005541394148802583023/18446744073709551616", + "floor_float": 54.51050820301173 + }, + "r=[7/128,29/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1968455479879094043159/18446744073709551616", + "floor_float": 106.71018538629549 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1238608351988813179481/18446744073709551616", + "floor_float": 67.14509330424808 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "4806661621225724315/288230376151711744", + "floor_float": 16.676457510834005 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "1393624099103934397129/9223372036854775808", + "floor_float": 151.09702758766397 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "695565712829887944337/18446744073709551616", + "floor_float": 37.70669284782965 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1936063817592591535749/18446744073709551616", + "floor_float": 104.95422985522336 + }, + "r=[7/128,29/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1895740721673225692719/9223372036854775808", + "floor_float": 205.53662089073492 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "52893984782231331361/1152921504606846976", + "floor_float": 45.878218569848336 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "210207805603183933637/18446744073709551616", + "floor_float": 11.39538797541913 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1904055350782027282921/18446744073709551616", + "floor_float": 103.21904739252616 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "475290659362566052217/18446744073709551616", + "floor_float": 25.7655582721481 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "661365480362702527437/9223372036854775808", + "floor_float": 71.70538906161613 + }, + "r=[7/128,29/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "1294884145826422608347/9223372036854775808", + "floor_float": 140.3916204022044 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1095202930588335228737/18446744073709551616", + "floor_float": 59.37106983281821 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "272016621544067653283/18446744073709551616", + "floor_float": 14.746050601512271 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2464378327559017196547/18446744073709551616", + "floor_float": 133.59421682828403 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "153761787819914261305/4611686018427387904", + "floor_float": 33.341772879921244 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "855927223297999271191/9223372036854775808", + "floor_float": 92.79981549891762 + }, + "r=[7/128,29/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "209509648244685902109/1152921504606846976", + "floor_float": 181.72065262684984 + }, + "r=[7/128,29/512],b=[7/8,1],k=[1,5/4]": { + "floor": "174447041778970461781/2305843009213693952", + "floor_float": 75.65434467217173 + }, + "r=[7/128,29/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "346601823111639621909/18446744073709551616", + "floor_float": 18.78932248025381 + }, + "r=[7/128,29/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "3140671913237700475541/18446744073709551616", + "floor_float": 170.25616556982604 + }, + "r=[7/128,29/512],b=[7/8,1],k=[3/4,1]": { + "floor": "391848526613613359233/9223372036854775808", + "floor_float": 42.48430238397236 + }, + "r=[7/128,29/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "1090742004895059111275/9223372036854775808", + "floor_float": 118.25848513284178 + }, + "r=[7/128,29/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4272390803875362170083/18446744073709551616", + "floor_float": 231.60676956343792 + }, + "r=[7/256,15/512],b=[0,1/8],k=[1,5/4]": { + "floor": "283128672599142131129/9223372036854775808", + "floor_float": 30.6968721924927 + }, + "r=[7/256,15/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "141346876273305769981/18446744073709551616", + "floor_float": 7.6624295164778955 + }, + "r=[7/256,15/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1271775267768662232585/18446744073709551616", + "floor_float": 68.94307541140589 + }, + "r=[7/256,15/512],b=[0,1/8],k=[3/4,1]": { + "floor": "318543650431349988959/18446744073709551616", + "floor_float": 17.26828589145664 + }, + "r=[7/256,15/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "884122432747428634701/18446744073709551616", + "floor_float": 47.92837311639657 + }, + "r=[7/256,15/512],b=[0,1/8],k=[7/4,2]": { + "floor": "864426797804035401551/9223372036854775808", + "floor_float": 93.7213412133823 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "244744592878939933343/4611686018427387904", + "floor_float": 53.0705238606854 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "122156691527711821343/9223372036854775808", + "floor_float": 13.244255033798677 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2199445827474906516533/18446744073709551616", + "floor_float": 119.23219722062358 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "34415057114089010959/1152921504606846976", + "floor_float": 29.850303751446415 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1528765636654459606035/18446744073709551616", + "floor_float": 82.87455122409752 + }, + "r=[7/256,15/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1495232025938439723007/9223372036854775808", + "floor_float": 162.11338108923584 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "187699085688891919671/4611686018427387904", + "floor_float": 40.7007512954879 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "187390591805428127825/18446744073709551616", + "floor_float": 10.158464336939478 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1686517652111262595291/18446744073709551616", + "floor_float": 91.42630511770915 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "211163028026752162243/9223372036854775808", + "floor_float": 22.894341373522217 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1172344900785188541761/18446744073709551616", + "floor_float": 63.552944416680226 + }, + "r=[7/256,15/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "1146431072796963551341/9223372036854775808", + "floor_float": 124.29630597313553 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "326706709089539489843/9223372036854775808", + "floor_float": 35.421612376046845 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "81547382682103568559/9223372036854775808", + "floor_float": 8.841384946444348 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1467645786986457610133/18446744073709551616", + "floor_float": 79.56123753449576 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "183780656597555965117/9223372036854775808", + "floor_float": 19.925538714388264 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "510121855585204493195/9223372036854775808", + "floor_float": 55.30752240578155 + }, + "r=[7/256,15/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "997607283202186119237/9223372036854775808", + "floor_float": 108.16079837351721 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1256435984324106010209/18446744073709551616", + "floor_float": 68.11153118965795 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "313519513363408988061/18446744073709551616", + "floor_float": 16.99592687526031 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "176452418720694782785/1152921504606846976", + "floor_float": 153.04807657383935 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "706654104925274736629/18446744073709551616", + "floor_float": 38.307795787789125 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "245273542572320903821/2305843009213693952", + "floor_float": 106.37044308405048 + }, + "r=[7/256,15/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1919458542608437002135/9223372036854775808", + "floor_float": 208.10811218919275 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "214757948268157333833/4611686018427387904", + "floor_float": 46.56820681417315 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107196080777027926007/9223372036854775808", + "floor_float": 11.62222236603853 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "964903964308736916327/9223372036854775808", + "floor_float": 104.61509743434083 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "120797985104213796675/4611686018427387904", + "floor_float": 26.193887576372042 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1341405100173177826507/18446744073709551616", + "floor_float": 72.71771618954476 + }, + "r=[7/256,15/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "81991819967782701907/576460752303423488", + "floor_float": 142.23313493617658 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "277799069559857504771/4611686018427387904", + "floor_float": 60.238070946249856 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "277293914032407616055/18446744073709551616", + "floor_float": 15.032133200547252 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2496685719196727791237/18446744073709551616", + "floor_float": 135.34560403833132 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "624988439730665051473/18446744073709551616", + "floor_float": 33.88069120671564 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1735299946875260302533/18446744073709551616", + "floor_float": 94.07079861580688 + }, + "r=[7/256,15/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "106085692912611951737/576460752303423488", + "floor_float": 184.02934196077433 + }, + "r=[7/256,15/512],b=[7/8,1],k=[1,5/4]": { + "floor": "707695608208015952177/9223372036854775808", + "floor_float": 76.72851158775813 + }, + "r=[7/256,15/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "353164244745595456629/18446744073709551616", + "floor_float": 19.14507206986885 + }, + "r=[7/256,15/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1590323153905924398985/9223372036854775808", + "floor_float": 172.42318184188025 + }, + "r=[7/256,15/512],b=[7/8,1],k=[3/4,1]": { + "floor": "796029783597916937405/18446744073709551616", + "floor_float": 43.15286103700137 + }, + "r=[7/256,15/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2210508463709679033353/18446744073709551616", + "floor_float": 119.83190393258144 + }, + "r=[7/256,15/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4325072273334656558557/18446744073709551616", + "floor_float": 234.4626377453127 + }, + "r=[7/64,57/512],b=[0,1/8],k=[1,5/4]": { + "floor": "536612922671389686313/18446744073709551616", + "floor_float": 29.089844827205834 + }, + "r=[7/64,57/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "131862923426194570319/18446744073709551616", + "floor_float": 7.1483034024484935 + }, + "r=[7/64,57/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "302717455949127010201/4611686018427387904", + "floor_float": 65.6413846778657 + }, + "r=[7/64,57/512],b=[0,1/8],k=[3/4,1]": { + "floor": "300343229746257029455/18446744073709551616", + "floor_float": 16.28163910911024 + }, + "r=[7/64,57/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "420129082247153019525/9223372036854775808", + "floor_float": 45.550486369670445 + }, + "r=[7/64,57/512],b=[0,1/8],k=[7/4,2]": { + "floor": "1648041051392000373227/18446744073709551616", + "floor_float": 89.34048441322508 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "931111638958960074175/18446744073709551616", + "floor_float": 50.475663089292155 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "228892658705308744531/18446744073709551616", + "floor_float": 12.408295891713943 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2101293624505061487297/18446744073709551616", + "floor_float": 113.91135563591638 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "130296876304811970943/4611686018427387904", + "floor_float": 28.253631271550436 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "729006922043622213845/9223372036854775808", + "floor_float": 79.03908886366659 + }, + "r=[7/64,57/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1430163522415087476813/9223372036854775808", + "floor_float": 155.05863980119594 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "356414640393595332971/9223372036854775808", + "floor_float": 38.64255274203759 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "87608226617664257951/9223372036854775808", + "floor_float": 9.498502962647398 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "804302856864702005299/9223372036854775808", + "floor_float": 87.20269047490076 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "199497199839682871387/9223372036854775808", + "floor_float": 21.6295297470959 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "279050885669650831365/4611686018427387904", + "floor_float": 60.50951529540791 + }, + "r=[7/64,57/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2189517075700288518369/18446744073709551616", + "floor_float": 118.69395850841808 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "619774231126467223123/18446744073709551616", + "floor_float": 33.59802839189245 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "1190028662718979923/144115188075855872", + "floor_float": 8.2574826332156 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1398562849920467706425/18446744073709551616", + "floor_float": 75.81624401206447 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "346900313673373501023/18446744073709551616", + "floor_float": 18.805503686028725 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "30327535432744546059/576460752303423488", + "floor_float": 52.6098876837004 + }, + "r=[7/64,57/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1903563965915774299751/18446744073709551616", + "floor_float": 103.19240936555026 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1196856188385860444771/18446744073709551616", + "floor_float": 64.8817039800335 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "294235661867521659215/18446744073709551616", + "floor_float": 15.950547190973865 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2701398521909061615681/18446744073709551616", + "floor_float": 146.44310731014676 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "20934946827525861051/576460752303423488", + "floor_float": 36.31634373003529 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1874276886064120540355/18446744073709551616", + "floor_float": 101.60475358550428 + }, + "r=[7/64,57/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1838724609015781462817/9223372036854775808", + "floor_float": 199.354921569747 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "816340581046286098983/18446744073709551616", + "floor_float": 44.25391157292312 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "100339732229471652611/9223372036854775808", + "floor_float": 10.878855566980695 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1842242831930171908739/18446744073709551616", + "floor_float": 99.86818403122702 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "456944489598450718511/18446744073709551616", + "floor_float": 24.771010416396013 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "639150140610609378649/9223372036854775808", + "floor_float": 69.29679709944384 + }, + "r=[7/64,57/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2507613529718178680013/18446744073709551616", + "floor_float": 135.93800183372466 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1057736699040335017987/18446744073709551616", + "floor_float": 57.34002135085887 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "32503051220506103459/2305843009213693952", + "floor_float": 14.095951498272138 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2387201807331924324173/18446744073709551616", + "floor_float": 129.41046928352975 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "18501765450619543839/576460752303423488", + "floor_float": 32.09544687420633 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1656351298958059921121/18446744073709551616", + "floor_float": 89.79098383647579 + }, + "r=[7/64,57/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3249621264093047121337/18446744073709551616", + "floor_float": 176.16232171423863 + }, + "r=[7/64,57/512],b=[7/8,1],k=[1,5/4]": { + "floor": "337309152241977438099/4611686018427387904", + "floor_float": 73.14226313199914 + }, + "r=[7/64,57/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "165844343456992895413/9223372036854775808", + "floor_float": 17.980879747050384 + }, + "r=[7/64,57/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1522770878821252135885/9223372036854775808", + "floor_float": 165.09914950156625 + }, + "r=[7/64,57/512],b=[7/8,1],k=[3/4,1]": { + "floor": "755195636761919720829/18446744073709551616", + "floor_float": 40.93923750144236 + }, + "r=[7/64,57/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2112963125026625024241/18446744073709551616", + "floor_float": 114.54396052678136 + }, + "r=[7/64,57/512],b=[7/8,1],k=[7/4,2]": { + "floor": "518266100753840218539/2305843009213693952", + "floor_float": 224.76209294516195 + }, + "r=[9/128,37/512],b=[0,1/8],k=[1,5/4]": { + "floor": "551924675591396842477/18446744073709551616", + "floor_float": 29.919896616227486 + }, + "r=[9/128,37/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "136686730702665710351/18446744073709551616", + "floor_float": 7.409802518888563 + }, + "r=[9/128,37/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1242623116941236337857/18446744073709551616", + "floor_float": 67.36273414841988 + }, + "r=[9/128,37/512],b=[0,1/8],k=[3/4,1]": { + "floor": "77421057411520399669/4611686018427387904", + "floor_float": 16.788015728339076 + }, + "r=[9/128,37/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "863029391611701917215/18446744073709551616", + "floor_float": 46.78491706521252 + }, + "r=[9/128,37/512],b=[0,1/8],k=[7/4,2]": { + "floor": "845166233112288449129/9223372036854775808", + "floor_float": 91.63310660517334 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "955759208648923877073/18446744073709551616", + "floor_float": 51.81181051950949 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "236715380445711989429/18446744073709551616", + "floor_float": 12.832366486998682 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2152321927452439437155/18446744073709551616", + "floor_float": 116.67760548160615 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "134064092630554568863/4611686018427387904", + "floor_float": 29.070516096469035 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1494641250742662595001/18446744073709551616", + "floor_float": 81.02466455708232 + }, + "r=[9/128,37/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "2928217531359225519283/18446744073709551616", + "floor_float": 158.73899045049066 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "732412547479573417527/18446744073709551616", + "floor_float": 39.704163756649805 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "90702429760840404629/9223372036854775808", + "floor_float": 9.833977139641704 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "412286436438826334431/4611686018427387904", + "floor_float": 89.40037001465647 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "102739610758850347469/4611686018427387904", + "floor_float": 22.27810183701213 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "8947640119292961967/144115188075855872", + "floor_float": 62.08672547811768 + }, + "r=[9/128,37/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2243489409305801098625/18446744073709551616", + "floor_float": 121.61980457587853 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "79642193639965987263/2305843009213693952", + "floor_float": 34.53929574638494 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "78900811211595420097/9223372036854775808", + "floor_float": 8.55444309264804 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1434546789143656221903/18446744073709551616", + "floor_float": 77.76693726608285 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "178749572279260777439/9223372036854775808", + "floor_float": 19.380067459602923 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "996293457359698978957/18446744073709551616", + "floor_float": 54.00917654512399 + }, + "r=[9/128,37/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "975739541975192698821/9223372036854775808", + "floor_float": 105.7898931189515 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "1227514286449303855693/18446744073709551616", + "floor_float": 66.54368280626645 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "304015358303555468847/18446744073709551616", + "floor_float": 16.480705597083695 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "345579546357650525413/2305843009213693952", + "floor_float": 149.87123797100793 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "688709226809684938683/18446744073709551616", + "floor_float": 37.33500199589362 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1919724242228033473773/18446744073709551616", + "floor_float": 104.06845969983613 + }, + "r=[9/128,37/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1880780087758835073947/9223372036854775808", + "floor_float": 203.91458571156068 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "104795477484844448345/2305843009213693952", + "floor_float": 45.44779374228965 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "207640126561807932963/18446744073709551616", + "floor_float": 11.256193815673862 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "471952361668686511763/4611686018427387904", + "floor_float": 102.33835516617089 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "470395189998849188191/18446744073709551616", + "floor_float": 25.500174346174195 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "163875650640080632195/2305843009213693952", + "floor_float": 71.06973457658039 + }, + "r=[9/128,37/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2568259361150081588535/18446744073709551616", + "floor_float": 139.22561894325762 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1085249249643406367043/18446744073709551616", + "floor_float": 58.83147970758224 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "268783079837245500163/18446744073709551616", + "floor_float": 14.570759954344318 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2444081044959475280497/18446744073709551616", + "floor_float": 132.49389893378526 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "304449941801031388579/9223372036854775808", + "floor_float": 33.00852883137636 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1697188125902624863433/18446744073709551616", + "floor_float": 92.00475266101138 + }, + "r=[9/128,37/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "831324024912909628185/4611686018427387904", + "floor_float": 180.26466276999403 + }, + "r=[9/128,37/512],b=[7/8,1],k=[1,5/4]": { + "floor": "345814824328372230079/4611686018427387904", + "floor_float": 74.98663676290285 + }, + "r=[9/128,37/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "342583927433572838239/18446744073709551616", + "floor_float": 18.571511919104804 + }, + "r=[9/128,37/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "1557791396050249712777/9223372036854775808", + "floor_float": 168.89608158769076 + }, + "r=[9/128,37/512],b=[7/8,1],k=[3/4,1]": { + "floor": "776079989149884861071/18446744073709551616", + "floor_float": 42.071380512941595 + }, + "r=[9/128,37/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2163345601505810062309/18446744073709551616", + "floor_float": 117.27520004947799 + }, + "r=[9/128,37/512],b=[7/8,1],k=[7/4,2]": { + "floor": "4239213671742457094245/18446744073709551616", + "floor_float": 229.8082336266712 + }, + "r=[9/256,19/512],b=[0,1/8],k=[1,5/4]": { + "floor": "563845827493849663975/18446744073709551616", + "floor_float": 30.56614355578594 + }, + "r=[9/256,19/512],b=[0,1/8],k=[1/2,3/4]": { + "floor": "140551350155683268837/18446744073709551616", + "floor_float": 7.619303959228132 + }, + "r=[9/256,19/512],b=[0,1/8],k=[3/2,7/4]": { + "floor": "633456398158036797949/9223372036854775808", + "floor_float": 68.67948030577863 + }, + "r=[9/256,19/512],b=[0,1/8],k=[3/4,1]": { + "floor": "79261014374429535451/4611686018427387904", + "floor_float": 17.18699279563226 + }, + "r=[9/256,19/512],b=[0,1/8],k=[5/4,3/2]": { + "floor": "880590187267110945423/18446744073709551616", + "floor_float": 47.736889705220946 + }, + "r=[9/256,19/512],b=[0,1/8],k=[7/4,2]": { + "floor": "861225368666812613099/9223372036854775808", + "floor_float": 93.37424157081877 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[1,5/4]": { + "floor": "975058669946989943797/18446744073709551616", + "floor_float": 52.85803641286765 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "121506473153749201621/9223372036854775808", + "floor_float": 13.173758216434651 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2191556484736856684385/18446744073709551616", + "floor_float": 118.80451509381976 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[3/4,1]": { + "floor": "274099372933083688111/9223372036854775808", + "floor_float": 29.71791356109638 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "95189416597861543489/1152921504606846976", + "floor_float": 82.56365781842338 + }, + "r=[9/256,19/512],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1490040046875588348927/9223372036854775808", + "floor_float": 161.55046559129158 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[1,5/4]": { + "floor": "186924896525843551449/4611686018427387904", + "floor_float": 40.53287578098954 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "11647918450229707917/1152921504606846976", + "floor_float": 10.102958790938432 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "1680275005235984926229/18446744073709551616", + "floor_float": 91.08789055249736 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[3/4,1]": { + "floor": "420398930517625914445/18446744073709551616", + "floor_float": 22.789871688889633 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1167810724312247829037/18446744073709551616", + "floor_float": 63.30714621756048 + }, + "r=[9/256,19/512],b=[1/4,3/8],k=[7/4,2]": { + "floor": "571159738368219110015/4611686018427387904", + "floor_float": 123.85052583501509 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[1,5/4]": { + "floor": "650676353079105115769/18446744073709551616", + "floor_float": 35.27323577966555 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "162192476446998953429/18446744073709551616", + "floor_float": 8.792471766232014 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "365531852253201490809/4611686018427387904", + "floor_float": 79.2620856651143 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[3/4,1]": { + "floor": "365859162727497760537/18446744073709551616", + "floor_float": 19.833264952644036 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "31757342647975692217/576460752303423488", + "floor_float": 55.09020782608289 + }, + "r=[9/256,19/512],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1987947847167450532499/18446744073709551616", + "floor_float": 107.76686873434157 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[1,5/4]": { + "floor": "625773898586583784013/9223372036854775808", + "floor_float": 67.84654203322978 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "77972940073112491391/4611686018427387904", + "floor_float": 16.90768620447012 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "703353307503741372805/4611686018427387904", + "floor_float": 152.5154368040843 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[3/4,1]": { + "floor": "703604559439667418557/18446744073709551616", + "floor_float": 38.14247959575968 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "1955042101726800442817/18446744073709551616", + "floor_float": 105.98304469964118 + }, + "r=[9/256,19/512],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1912994809359547497783/9223372036854775808", + "floor_float": 207.40731282611148 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[1,5/4]": { + "floor": "855545795565704307437/18446744073709551616", + "floor_float": 46.37923051065879 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "213237029145401408909/18446744073709551616", + "floor_float": 11.55960251268995 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "1922789059165294652615/18446744073709551616", + "floor_float": 104.23460375891858 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[3/4,1]": { + "floor": "481020819582505262585/18446744073709551616", + "floor_float": 26.076190880105504 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "167037944470158150263/2305843009213693952", + "floor_float": 72.4411609128234 + }, + "r=[9/256,19/512],b=[3/8,1/2],k=[7/4,2]": { + "floor": "2614499286472305442625/18446744073709551616", + "floor_float": 141.73229031775375 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[1,5/4]": { + "floor": "1106810407738089544029/18446744073709551616", + "floor_float": 60.00031242996018 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "34479502539813073649/2305843009213693952", + "floor_float": 14.95310062395392 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "621966167276130443043/4611686018427387904", + "floor_float": 134.86741395465265 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[3/4,1]": { + "floor": "622253944798942027411/18446744073709551616", + "floor_float": 33.73245393943441 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1728885706081990974203/18446744073709551616", + "floor_float": 93.72308192566149 + }, + "r=[9/256,19/512],b=[5/8,3/4],k=[7/4,2]": { + "floor": "3383134669336442115157/18446744073709551616", + "floor_float": 183.40009791527996 + }, + "r=[9/256,19/512],b=[7/8,1],k=[1,5/4]": { + "floor": "1409954391296014976711/18446744073709551616", + "floor_float": 76.43378070743083 + }, + "r=[9/256,19/512],b=[7/8,1],k=[1/2,3/4]": { + "floor": "43918855542338441071/2305843009213693952", + "floor_float": 19.04676743683215 + }, + "r=[9/256,19/512],b=[7/8,1],k=[3/2,7/4]": { + "floor": "792431016039585115501/4611686018427387904", + "floor_float": 171.83108582700277 + }, + "r=[9/256,19/512],b=[7/8,1],k=[3/4,1]": { + "floor": "198159010127283432711/4611686018427387904", + "floor_float": 42.96888585551555 + }, + "r=[9/256,19/512],b=[7/8,1],k=[5/4,3/2]": { + "floor": "2202562817018855335369/18446744073709551616", + "floor_float": 119.40116956238178 + }, + "r=[9/256,19/512],b=[7/8,1],k=[7/4,2]": { + "floor": "1077675997228382993215/4611686018427387904", + "floor_float": 233.68373148609905 + }, + "r=[9/512,5/256],b=[0,1/8],k=[1,5/4]": { + "floor": "284574781858764589677/9223372036854775808", + "floor_float": 30.853659672586108 + }, + "r=[9/512,5/256],b=[0,1/8],k=[1/2,3/4]": { + "floor": "142307998343118288597/18446744073709551616", + "floor_float": 7.714532048283621 + }, + "r=[9/512,5/256],b=[0,1/8],k=[3/2,7/4]": { + "floor": "1277582655830749294495/18446744073709551616", + "floor_float": 69.25789454907495 + }, + "r=[9/512,5/256],b=[0,1/8],k=[3/4,1]": { + "floor": "320347568395487988347/18446744073709551616", + "floor_float": 17.36607648024184 + }, + "r=[9/512,5/256],b=[0,1/8],k=[5/4,3/2]": { + "floor": "27760907792512002493/576460752303423488", + "floor_float": 48.157498462098054 + }, + "r=[9/512,5/256],b=[0,1/8],k=[7/4,2]": { + "floor": "1736488220139027233315/18446744073709551616", + "floor_float": 94.135215038511 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[1,5/4]": { + "floor": "491843908330684826431/9223372036854775808", + "floor_float": 53.325823393588976 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[1/2,3/4]": { + "floor": "122943426566596674571/9223372036854775808", + "floor_float": 13.32955301763162 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[3/2,7/4]": { + "floor": "2208886837688742421681/18446744073709551616", + "floor_float": 119.74399540983852 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[3/4,1]": { + "floor": "138395891141778310911/4611686018427387904", + "floor_float": 30.009825167796684 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[5/4,3/2]": { + "floor": "1535640951667145064391/18446744073709551616", + "floor_float": 83.24726279776131 + }, + "r=[9/512,5/256],b=[1/2,5/8],k=[7/4,2]": { + "floor": "1501435531089606842479/9223372036854775808", + "floor_float": 162.7859664654279 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[1,5/4]": { + "floor": "754513628423648346495/18446744073709551616", + "floor_float": 40.90226575534201 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[1/2,3/4]": { + "floor": "94314371967446516943/9223372036854775808", + "floor_float": 10.225584698371147 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[3/2,7/4]": { + "floor": "3308549215674591313/36028797018963968", + "floor_float": 91.83068793368585 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[3/4,1]": { + "floor": "424646308527057785149/18446744073709551616", + "floor_float": 23.020122512149293 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[5/4,3/2]": { + "floor": "1177775122178316957941/18446744073709551616", + "floor_float": 63.84731730825558 + }, + "r=[9/512,5/256],b=[1/4,3/8],k=[7/4,2]": { + "floor": "2302667708501957136813/18446744073709551616", + "floor_float": 124.827866603502 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[1,5/4]": { + "floor": "656693875121816162989/18446744073709551616", + "floor_float": 35.599446303249884 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[1/2,3/4]": { + "floor": "164185274433358327159/18446744073709551616", + "floor_float": 8.900501561538793 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[3/2,7/4]": { + "floor": "1474233859045271043205/18446744073709551616", + "floor_float": 79.91837763642859 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[3/4,1]": { + "floor": "369606739967214512931/18446744073709551616", + "floor_float": 20.036421521886943 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[5/4,3/2]": { + "floor": "1025038687170699292543/18446744073709551616", + "floor_float": 55.56745857560808 + }, + "r=[9/512,5/256],b=[1/8,1/4],k=[7/4,2]": { + "floor": "1001937888288126579269/9223372036854775808", + "floor_float": 108.63032351775254 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[1,5/4]": { + "floor": "315578603715137681261/4611686018427387904", + "floor_float": 68.43020154757887 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[1/2,3/4]": { + "floor": "157745116392754098491/9223372036854775808", + "floor_float": 17.102759789200274 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[3/2,7/4]": { + "floor": "2835009804338774482703/18446744073709551616", + "floor_float": 153.68618944409022 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[3/4,1]": { + "floor": "177582885440367277273/4611686018427387904", + "floor_float": 38.50715003813813 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[5/4,3/2]": { + "floor": "61586384348451386267/576460752303423488", + "floor_float": 106.83534672978922 + }, + "r=[9/512,5/256],b=[3/4,7/8],k=[7/4,2]": { + "floor": "1927190857203455704339/9223372036854775808", + "floor_float": 208.9464514174188 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[1,5/4]": { + "floor": "863220978440295787807/18446744073709551616", + "floor_float": 46.795303008001575 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[1/2,3/4]": { + "floor": "107895014924639853277/9223372036854775808", + "floor_float": 11.698000958165045 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[3/2,7/4]": { + "floor": "484552068308973386493/4611686018427387904", + "floor_float": 105.0704810285867 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[3/4,1]": { + "floor": "485808440792744905183/18446744073709551616", + "floor_float": 26.33572834596448 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[5/4,3/2]": { + "floor": "1347522040193080694235/18446744073709551616", + "floor_float": 73.04931617247186 + }, + "r=[9/512,5/256],b=[3/8,1/2],k=[7/4,2]": { + "floor": "164673622989320739109/1152921504606846976", + "floor_float": 142.83159983686437 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[1,5/4]": { + "floor": "279117523030826088669/4611686018427387904", + "floor_float": 60.52396496975889 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[1/2,3/4]": { + "floor": "279058838573532041309/18446744073709551616", + "floor_float": 15.127809951635257 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[3/2,7/4]": { + "floor": "2507252097821093922535/18446744073709551616", + "floor_float": 135.91840857132343 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[3/4,1]": { + "floor": "628285612006724773957/18446744073709551616", + "floor_float": 34.059431273953784 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[5/4,3/2]": { + "floor": "1742996534814818156825/18446744073709551616", + "floor_float": 94.4880314840466 + }, + "r=[9/512,5/256],b=[5/8,3/4],k=[7/4,2]": { + "floor": "1704312936786506919213/9223372036854775808", + "floor_float": 184.7819788659081 + }, + "r=[9/512,5/256],b=[7/8,1],k=[1,5/4]": { + "floor": "710966238892554951845/9223372036854775808", + "floor_float": 77.08311407711562 + }, + "r=[9/512,5/256],b=[7/8,1],k=[1/2,3/4]": { + "floor": "44420027095905061027/2305843009213693952", + "floor_float": 19.264115951698095 + }, + "r=[9/512,5/256],b=[7/8,1],k=[3/2,7/4]": { + "floor": "199608682674187551057/1152921504606846976", + "floor_float": 173.13293392185906 + }, + "r=[9/512,5/256],b=[7/8,1],k=[3/4,1]": { + "floor": "800123734829221391943/18446744073709551616", + "floor_float": 43.374794577952876 + }, + "r=[9/512,5/256],b=[7/8,1],k=[5/4,3/2]": { + "floor": "555012213400180510399/4611686018427387904", + "floor_float": 120.34908950489282 + }, + "r=[9/512,5/256],b=[7/8,1],k=[7/4,2]": { + "floor": "4342271030538638045135/18446744073709551616", + "floor_float": 235.39498424154309 + } + }, + "torus_epsilon0": 2.1789753948085752e-26, + "torus_epsilon_at_rmax": 9.370526318325006e-26, + "z_star": "130049401760564251999/18446744073709551616", + "z_star_decimal": "7.0499921959" + } + }, + "certified": true, + "combined": { + "L_min": 12, + "r_range": [ + "1/64", + "1/2" + ], + "statement": "For d = 2, every frame, every torus side L >= 12, every r in [1/64, 1/2], b in [0, 1], k in [1/2, 2]: Z_r / r^2 >= 3.5044542729 (the high band alone holds for L >= 10).", + "z_star": "64645771091048139547/18446744073709551616", + "z_star_decimal": "3.5044542729" + }, + "kind": "certified lower bound (exact rational interval arithmetic)", + "mutant": null, + "object": "CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1", + "parameters": { + "B_STEPS": 8, + "K_STEPS": 6, + "N_EXP": 24, + "PBITS": 160, + "Z_MAX": 8, + "bands": { + "high": { + "L_min": 10, + "r_range": [ + "1/8", + "1/2" + ], + "r_steps": 192 + }, + "low": { + "L_min": 12, + "r_range": [ + "1/64", + "1/8" + ], + "r_steps": 56 + } + }, + "grid": { + "c_T": "4", + "c_v": "7/2", + "n_T": 8, + "n_o": 40, + "n_v": 6, + "n_w": 40, + "pieces_T": 8, + "pieces_v": 8, + "pieces_w": 10, + "span_w": "5" + } + }, + "runtime_note": "full run 64 minutes on four cores (192 r-bands in parallel), 2026-09-30; low band added 2026-09-30 (56 r-bands, four cores)", + "scientific_effect": "NONE", + "table_note": "floor = certified lower bound of Z_r / r^2 on the box (exact rational, rounded down to 2^-64); Z_r >= floor * r_lo^2 on the box" +} diff --git a/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_FILES.json b/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_FILES.json new file mode 100644 index 000000000..7bda8649b --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_FILES.json @@ -0,0 +1,40 @@ +{ + "schema": 1, + "scientific_effect": "NONE", + "certified": true, + "review_status": "AUTHOR_SIDE_CERTIFIED_CONSTANT", + "object": "CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1", + "files": [ + { + "path": "NOTE.md", + "bytes": 17915, + "sha256": "3dffe22dc58bf4262ab580197b3fd5ef0f1ba71e0a2e3f7030748c4574fd9eab", + "git_blob": "d321d52e83e9fa6cd2467f82310b6267c8be4e29" + }, + { + "path": "README.md", + "bytes": 2191, + "sha256": "56ae5b37b9355d9083758a62c2a96b0b9e976a5ee7c423ecf91c070eb846a31a", + "git_blob": "e99afd061220a551661e35e97e91d876881eb023" + }, + { + "path": "RESULTS.json", + "bytes": 1874499, + "sha256": "a2c4d6890cc9ab0984605f78ccf89b38d93b9515b8d70a6d5e5c3d417b4b3882", + "git_blob": "4ca0c13feafe0dc9478c389338eb4b59d4ab6f20" + }, + { + "path": "SOURCE_MAP.json", + "bytes": 3362, + "sha256": "7e834304edf72791e19264e553468119d06cdc33ac7cdf27584f69219dbaa633", + "git_blob": "9c97cc59777e5e6bf529256e8391c72a96ae3dcc" + }, + { + "path": "floor.py", + "bytes": 44876, + "sha256": "d09fdd626a7b65fdd20cf762b7940b64bb31567a72d9c2c91b46ac2aab80e9fc", + "git_blob": "29f1b512062fda6b3565429e9fe53e91b9b3c2f8" + } + ], + "nonauthor_reads": [] +} diff --git a/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_MAP.json b/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_MAP.json new file mode 100644 index 000000000..9c97cc597 --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/SOURCE_MAP.json @@ -0,0 +1,43 @@ +{ + "schema": 1, + "object": "CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1", + "scientific_effect": "NONE", + "certified": true, + "review_status": "AUTHOR_SIDE_CERTIFIED_CONSTANT", + "source_repository": "d6g8k5htny-coder/Math-", + "main_at_creation": "3e0a91b69892b9717564c592e7a966492a81566a", + "note": "First C8 constant: certified lower bounds for the full normalizer Z_r / r^2 of [LP] section 1 (planar torus kernel, every frame, b in [0, 1], k in [1/2, 2]) on two declared bands, by exact rational interval arithmetic: the high band r in [1/8, 1/2] for L >= 10 (Z_r / r^2 >= 3.5044) and the low band r in [1/64, 1/8] for L >= 12 (Z_r / r^2 >= 7.0499), hence z_* = 3.5044 on the combined r in [1/64, 1/2] for L >= 12 only. Consumes the [LP] section 1 definitions of Q, W_r and Z_r; [LP] (5.4)-(5.5) are cited for context only (the finite-r certificate does not use them: (5.5) is the existential statement whose numerical instance is supplied here, and z_0 of (5.4) is a floating comparison). [NUM] supplies the planar contact law z_0 = 36 k^2 E[A^2 1{A < 0}], A ~ N(-b, 2), used as a floating control only. No register, catalog, GRAPH or STATUS change; C8 stays OPEN (C, r_*, c_{B,K}, c_{d,L} are not supplied).", + "sources": [ + { + "path": "imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md", + "bytes": 40261, + "sha256": "9350ad6eaba6626b93c3dedeef9e2ff816e5cdf1c8318e85fb27499141c84bc7", + "git_blob": "dfed3b8d318a3ab1950957f393307733a4bef3f2", + "id": "LP", + "commit": "3e0a91b69892b9717564c592e7a966492a81566a", + "role": "section 1: the torus kernel K_L (periodized Gaussian, normalized to K_L(0) = 1), the pins M, S, f(M) = b, f(S) = b - k r^3, grad f = 0, the regression law Q, the weight W_r = |det H_M det H_S| 1{H_M < 0, index H_S = d - 1} and the full normalizer Z_r = E_Q W_r; section 5, (5.4)-(5.5): Z_r / r^2 -> z_0 and the existential floor z_* (no numerical value there); section 16 lists a numerical r_*, C on a prescribed band among the items not supplied", + "current_required": true, + "on_main": true + }, + { + "path": "frontiers/c6_cluster_coefficients_numerics_20260930/RESULTS.json", + "bytes": 4095, + "sha256": "9c88ea85b6ba08199996c9b5ff74ecd06afc0f458e08c28b4c3af6191f437fcb", + "git_blob": "2648314f8c11f0637ce301ba76360142a8309e8f", + "id": "NUM", + "commit": "3e0a91b69892b9717564c592e7a966492a81566a", + "role": "the exact planar contact structure A_0 | even pins ~ N(-b, 2) behind the r -> 0 limit z_0(b, k) = 36 k^2 E[A_0^2 1{A_0 < 0}] used here only as a floating control (Math-#168, merged)", + "current_required": true, + "on_main": true + } + ], + "catalog_reference": { + "path": "reviews/candidates_pending_20260928/CANDIDATES.md", + "entry": "C8. Numerical constants (still open as of 2026-09-29): explicit finite C, r_*, z_*, c_{B,K}, c_{d,L} on a declared compact-mark / torus band; disposition OPEN", + "effect_here": "none; this packet supplies certified z_* values on two declared bands (high: L >= 10, r in [1/8, 1/2]; low: L >= 12, r in [1/64, 1/8]; combined z_* = 3.5044 on r in [1/64, 1/2] for L >= 12) and changes no disposition" + }, + "nonauthor_reads": [], + "nonauthor_acceptance": false, + "governing_status_changed": false, + "main_at_update": "3e0a91b69892b9717564c592e7a966492a81566a" +} diff --git a/frontiers/c8_normalizer_floor_planar_20260930/floor.py b/frontiers/c8_normalizer_floor_planar_20260930/floor.py new file mode 100644 index 000000000..29f1b5120 --- /dev/null +++ b/frontiers/c8_normalizer_floor_planar_20260930/floor.py @@ -0,0 +1,1022 @@ +#!/usr/bin/env python3 +"""Certified lower bound z_* for the planar finite-r full normalizer Z_r / r^2 of [LP] section 1 (parent torus kernel). + +Z_r = E_Q[|det H_M det H_S| 1{H_M < 0, index H_S = 1}], Q the Gaussian regression at the six pins +f(M) = b, f(S) = b - k r^3, grad f(M) = grad f(S) = 0, M = -(r/2) u, S = (r/2) u, d = 2. + +Method (all arithmetic exact rational; transcendental constants bracketed by series with remainder bounds): + * pins and Hessian targets are re-expressed through midpoint-jet combinations (p1, p2, p3', p4, q1, q2; T, v, w) + whose covariance matrix has an O(1) nondegenerate limit as r -> 0, so that the Gaussian regression is a + well-conditioned 6 x 6 interval solve; every raw covariance is an exact Laurent polynomial in r (Hermite + polynomials times the Taylor polynomial of exp(-r^2/2)) plus a remainder interval; + * the torus kernel K_L differs from the continuum Gaussian kernel by a periodization remainder bounded + explicitly (any frame, L >= L_MIN); + * E[W 1_cell] >= min_cell |det H_M| |det H_S| x P(cell) summed over a grid of disjoint cells, with P(cell) + a rigorous lower bound from the block Cholesky factor (2 x 2 blocks; cross-block couplings absorbed by a + box shrink on |z|_inf <= Z_MAX), each 2-d rectangle probability by a piecewise lower Riemann sum whose + integrand min is attained at piece endpoints (unimodality of Phi(u(s)) - Phi(l(s)) for parallel affine u, l). +Standard library only; deterministic; outputs are exact rationals (printed as decimals rounded down). +""" +import argparse +import json +import math +import multiprocessing +import os +import random +import sys +from fractions import Fraction as Fr + +HERE = os.path.dirname(os.path.abspath(__file__)) +MUTANTS = ('swap-minmax', 'drop-torus-error', 'sign-saddle') +MUT = None +PBITS = 160 +N_EXP = 24 # Taylor order of exp(-r^2/2) +L_MIN = 10 # default torus side floor for the quick and point-band checks (the certified bands carry their own) +Z_MAX = 8 # |z|_inf clip for the cross-block coupling argument +# certified r-bands: name -> (r range, number of r-steps of width 1/512, declared torus side floor L >= L_min); +# the low band needs L >= 12 because the periodization remainder enters the preconditioned functionals with the +# factor r^-10 (see torus_epsilon and NOTE.md section 2) +BANDS = { + 'high': {'r': (Fr(1, 8), Fr(1, 2)), 'steps': 192, 'L_min': 10}, + 'low': {'r': (Fr(1, 64), Fr(1, 8)), 'steps': 56, 'L_min': 12}, +} +BAND_ORDER = ('low', 'high') +BAND_B = (Fr(0), Fr(1)) +B_STEPS = 8 +BAND_K = (Fr(1, 2), Fr(2)) +K_STEPS = 6 +GRID = {'n_w': 40, 'n_o': 40, 'n_v': 6, 'n_T': 8, 'c_T': Fr(4), 'c_v': Fr(7, 2), 'span_w': Fr(5), 'pieces_w': 10, 'pieces_T': 8, 'pieces_v': 8} + + +def require(cond, msg): + if not cond: + print(json.dumps({'check': 'FAIL', 'reason': msg, 'mutant': MUT})) + sys.exit(1) + + +# ----------------------------------------------------------------------------- rational intervals +def rdown(x): + return Fr(x.numerator * (1 << PBITS) // x.denominator, 1 << PBITS) + + +def rup(x): + return Fr(-((-x.numerator) * (1 << PBITS) // x.denominator), 1 << PBITS) + + +class IV: + __slots__ = ('lo', 'hi') + + def __init__(self, lo, hi=None): + lo = Fr(lo) + hi = lo if hi is None else Fr(hi) + if hi < lo: + raise ValueError('empty interval') + self.lo, self.hi = rdown(lo), rup(hi) + + def __repr__(self): + return 'IV(%s, %s)' % (float(self.lo), float(self.hi)) + + def __add__(self, o): + o = o if isinstance(o, IV) else IV(o) + return IV(self.lo + o.lo, self.hi + o.hi) + __radd__ = __add__ + + def __neg__(self): + return IV(-self.hi, -self.lo) + + def __sub__(self, o): + return self + (-(o if isinstance(o, IV) else IV(o))) + + def __rsub__(self, o): + return IV(o) - self + + def __mul__(self, o): + o = o if isinstance(o, IV) else IV(o) + c = (self.lo * o.lo, self.lo * o.hi, self.hi * o.lo, self.hi * o.hi) + return IV(min(c), max(c)) + __rmul__ = __mul__ + + def inv(self): + if self.lo <= 0 <= self.hi: + raise ZeroDivisionError('interval contains zero') + return IV(1 / self.hi, 1 / self.lo) + + def __truediv__(self, o): + o = o if isinstance(o, IV) else IV(o) + return self * o.inv() + + def __rtruediv__(self, o): + return IV(o) * self.inv() + + def sq(self): + if self.lo >= 0: + return IV(self.lo * self.lo, self.hi * self.hi) + if self.hi <= 0: + return IV(self.hi * self.hi, self.lo * self.lo) + return IV(0, max(self.lo * self.lo, self.hi * self.hi)) + + def meet(self, o): + lo, hi = max(self.lo, o.lo), min(self.hi, o.hi) + if hi < lo: + raise ValueError('inconsistent enclosures') + return IV(lo, hi) + + def width(self): + return self.hi - self.lo + + def mid(self): + return (self.lo + self.hi) / 2 + + def contains(self, x): + return self.lo <= x <= self.hi + + +def isqrt_iv(x): + """Enclosure of sqrt(x) for an interval x with x.lo > 0.""" + if x.lo <= 0: + raise ValueError('sqrt of interval reaching zero: %r' % x) + + def lo_root(v): + n = v.numerator * (1 << (2 * PBITS)) // v.denominator + s = math.isqrt(n) + return Fr(s, 1 << PBITS) + + def hi_root(v): + n = -((-v.numerator * (1 << (2 * PBITS))) // v.denominator) + s = math.isqrt(n) + 1 + return Fr(s, 1 << PBITS) + return IV(lo_root(x.lo), hi_root(x.hi)) + + +def exp_neg_point(t): + """Enclosure of exp(-t) for a rational t >= 0 (halving to t <= 1/2, then the alternating series).""" + t = Fr(t) + m = 0 + while t > Fr(1, 2): + t /= 2 + m += 1 + s = Fr(1) + term = Fr(1) + n = 0 + while True: + n += 1 + term = term * (-t) / n + if abs(term) < Fr(1, 1 << (PBITS + 8)): + break + s += term + v = IV(s - abs(term), s + abs(term)) + for _ in range(m): + v = v.sq() + return v + + +def exp_neg(t): + """exp(-t) on an interval t with t.lo >= 0 (monotone decreasing).""" + return IV(exp_neg_point(t.hi).lo, exp_neg_point(t.lo).hi) + + +def _atan_inv(n): + """Enclosure of arctan(1/n), n >= 2, alternating series.""" + x = Fr(1, n) + s = Fr(0) + term = x + k = 0 + while True: + s += term / (2 * k + 1) + k += 1 + term = term * (-x * x) + if abs(term) / (2 * k + 1) < Fr(1, 1 << (PBITS + 8)): + break + return IV(s - abs(term), s + abs(term)) + + +PI = 4 * (4 * _atan_inv(5) - _atan_inv(239)) +SQRT2 = isqrt_iv(IV(2)) +SQRT2PI = isqrt_iv(2 * PI) + + +def phi_point(x): + """Enclosure of Phi(x) = P(N(0,1) <= x) for a rational x with |x| <= 12, from the series + Phi(x) = 1/2 + (1/sqrt(2 pi)) sum_n (-1)^n x^(2n+1) / (2^n n! (2n+1)), evaluated in fixed point (ulp = 2^-(PBITS+40)) + with an explicit integer bound E on the accumulated rounding error (in ulps) and the alternating-tail bound.""" + x = Fr(x) + if x < 0: + p = phi_point(-x) + return IV(1 - p.hi, 1 - p.lo) + if x > 12: + raise ValueError('phi_point range') + P2 = PBITS + 40 + ONE = 1 << P2 + X = x.numerator * ONE // x.denominator # x_lo = X / ONE <= x < (X + 1) / ONE ; |Phi(x) - Phi(x_lo)| <= 1 ulp + if X == 0: # 0 <= x < 1 ulp: Phi(x) in [1/2, 1/2 + ulp] + return IV(Fr(1, 2), Fr(1, 2) + Fr(1, ONE)) + X2u = (X + 1) * (X + 1) # upper bound of x^2 ONE^2 + S = 0 + T = X # T_n ~ x^(2n+1) / (2^n n!) in ulps + E = 1 # error bound of T_n in ulps + Etot = 1 # error of S in ulps (starts with the x rounding) + n = 0 + while T > 0: + S += (-1) ** n * (T // (2 * n + 1)) + Etot += E + 1 + n += 1 + T = (T * X * X) // (ONE * ONE * 2 * n) + E = (E * X2u) // (ONE * ONE * 2 * n) + 2 + # once T == 0 in fixed point the remaining terms are each below 1 ulp; if x^2 >= 2 n they are still growing in + # exact arithmetic, so continue counting until they decrease: bound the tail by the first omitted exact term + # <= (T_n + E) ulps <= (E + 1) ulps when T_n == 0 ... but growth may resume; require the decreasing regime. + if x * x > 2 * n: + raise ValueError('series terminated before the decreasing regime') + Etot += E + 1 + core = IV(Fr(S - Etot, ONE), Fr(S + Etot, ONE)) / SQRT2PI + return IV(Fr(1, 2) + core.lo, Fr(1, 2) + core.hi) + + +def Phi(x): + """Phi on an interval (monotone); arguments clipped to [-Z_MAX - 4, Z_MAX + 4] (clipping only widens).""" + lo = max(x.lo, Fr(-12)) + hi = min(x.hi, Fr(12)) + if x.lo < -12: + plo = Fr(0) + else: + plo = phi_point(lo).lo + if x.hi > 12: + phi_ = Fr(1) + else: + phi_ = phi_point(hi).hi + return IV(plo, phi_) + + +# ----------------------------------------------------------------------------- Laurent polynomials in r +class LP: + """Laurent polynomial in r with rational coefficients: {power: coeff}.""" + __slots__ = ('c',) + + def __init__(self, c=None): + self.c = {k: v for k, v in (c or {}).items() if v != 0} + + @staticmethod + def const(a): + return LP({0: Fr(a)}) + + @staticmethod + def mono(a, p): + return LP({p: Fr(a)}) + + def __add__(self, o): + c = dict(self.c) + for k, v in o.c.items(): + c[k] = c.get(k, Fr(0)) + v + return LP(c) + + def __neg__(self): + return LP({k: -v for k, v in self.c.items()}) + + def __sub__(self, o): + return self + (-o) + + def __mul__(self, o): + if not isinstance(o, LP): + return LP({k: v * Fr(o) for k, v in self.c.items()}) + c = {} + for k1, v1 in self.c.items(): + for k2, v2 in o.c.items(): + c[k1 + k2] = c.get(k1 + k2, Fr(0)) + v1 * v2 + return LP(c) + __rmul__ = __mul__ + + def minpow(self): + return min(self.c) if self.c else 0 + + def eval(self, r): + """Enclosure on the band r (IV with r.lo > 0).""" + tot = IV(0) + for k, v in self.c.items(): + if k >= 0: + pk = IV(r.lo ** k, r.hi ** k) + else: + pk = IV(r.hi ** k, r.lo ** k) + tot = tot + pk * v + return tot + + def maxabs(self, r): + return sum(abs(v) * max(r.lo ** k, r.hi ** k) for k, v in self.c.items()) if self.c else Fr(0) + + +def hermite_poly(n, sign): + """He_n(sign * r) as an LP (probabilists' Hermite).""" + a, b = LP.const(1), LP.mono(sign, 1) + if n == 0: + return a + for k in range(1, n): + a, b = b, LP.mono(sign, 1) * b - a * k + return b + + +def hermite0(n): + if n % 2: + return Fr(0) + return Fr((-1) ** (n // 2) * math.prod(range(1, n, 2))) + + +def exp_taylor(): + """Taylor polynomial of exp(-r^2/2) to order 2 N_EXP.""" + c = {} + for j in range(N_EXP + 1): + c[2 * j] = Fr((-1) ** j, 2 ** j * math.factorial(j)) + return LP(c) + + +EXP_TAYLOR = exp_taylor() + + +def exp_remainder(rhi): + """|exp(-r^2/2) - Taylor| <= (r^2/2)^(N+1) / (N+1)! on 0 <= r <= rhi (alternating series).""" + return (rhi * rhi / 2) ** (N_EXP + 1) / math.factorial(N_EXP + 1) + + +def torus_epsilon(L, rhi): + """Bound on |sum_{n != 0} d^gamma G(w + R^T n L)| for |w| <= rhi, |gamma| <= 4, G = exp(-|y|^2/2), d = 2: + m = 1 shell (8 points, |y| >= L - r, (s+3)^4 e^{-s^2/2} decreasing for s > 1) plus the m >= 2 tail.""" + L = Fr(L) + s1 = L - rhi + e1 = exp_neg_point(s1 * s1 / 2).hi + first = 8 * (s1 + 3) ** 4 * e1 + e2 = exp_neg_point((2 * L - rhi) ** 2 / 2).hi + eL = exp_neg_point(L * L / 2).hi + tail = 128 * 32 * (L + 3) ** 4 * e2 / (1 - 32 * eL) + return first + tail + + +# ----------------------------------------------------------------------------- functionals and covariances +# a functional is a list of (LP coefficient, x-order, y-order, point) with point in {'M', 'S'} +def functionals(): + f = lambda pt: (0, 0, pt) + fx = lambda pt: (1, 0, pt) + fy = lambda pt: (0, 1, pt) + fxx = lambda pt: (2, 0, pt) + fxy = lambda pt: (1, 1, pt) + fyy = lambda pt: (0, 2, pt) + h = Fr(1, 2) + pins = { + 'p1': [(LP.const(h), f('M')), (LP.const(h), f('S'))], + 'p2': [(LP.mono(-1, -1), f('M')), (LP.mono(1, -1), f('S'))], + 'p3p': [(LP.mono(6, -2), fx('M')), (LP.mono(6, -2), fx('S')), (LP.mono(12, -3), f('M')), (LP.mono(-12, -3), f('S'))], + 'p4': [(LP.mono(-1, -1), fx('M')), (LP.mono(1, -1), fx('S'))], + 'q1': [(LP.const(h), fy('M')), (LP.const(h), fy('S'))], + 'q2': [(LP.mono(-1, -1), fy('M')), (LP.mono(1, -1), fy('S'))], + } + targets = { + 'TM': [(LP.mono(1, -2), fxx('M')), (LP.mono(4, -3), fx('M')), (LP.mono(2, -3), fx('S')), (LP.mono(6, -4), f('M')), (LP.mono(-6, -4), f('S'))], + 'tau': [(LP.mono(1, -3), fxx('S')), (LP.mono(-1, -3), fxx('M')), (LP.mono(-6, -4), fx('M')), (LP.mono(-6, -4), fx('S')), (LP.mono(-12, -5), f('M')), (LP.mono(12, -5), f('S'))], + 'vM': [(LP.mono(1, -1), fxy('M')), (LP.mono(1, -2), fy('M')), (LP.mono(-1, -2), fy('S'))], + 'nu': [(LP.mono(1, -2), fxy('M')), (LP.mono(1, -2), fxy('S')), (LP.mono(2, -3), fy('M')), (LP.mono(-2, -3), fy('S'))], + 'wM': [(LP.const(1), fyy('M'))], + 'om': [(LP.mono(1, -1), fyy('S')), (LP.mono(-1, -1), fyy('M'))], + } + # T_S = T_M + r tau ; v_S = r nu - v_M ; w_S = w_M + r om + return pins, targets + + +PIN_NAMES = ('p1', 'p2', 'p3p', 'p4', 'q1', 'q2') +TARGET_NAMES = ('wM', 'om', 'TM', 'tau', 'vM', 'nu') # block order: yy, xx, xy (difference coordinates) + + +def raw_cov(u, v): + """Cov(d^u f(s), d^v f(t)) for the continuum kernel as (LP in r, hermite max-abs LP for the E-remainder), with + u = (a, b, s), v = (c, d, t): X = (-1)^c He_{a+c}(Delta) g(Delta), Y = (-1)^d He_{b+d}(0), Delta = t - s in {0, +-r}.""" + a, b, s = u + c, d, t = v + Y = (-1) ** d * hermite0(b + d) + if Y == 0: + return None + if s == t: + X = LP.const((-1) ** c * hermite0(a + c)) + return X * Y, LP() + sign = 1 if (s, t) == ('M', 'S') else -1 + He = hermite_poly(a + c, sign) * ((-1) ** c) + return He * EXP_TAYLOR * Y, He * Y + + +def cov_functional(F, G, rband, eps_torus): + """Enclosure of Cov(F, G) on the band (both F, G lists of (LP coeff, jet)); returns (LP exact part, IV).""" + poly = LP() + err = Fr(0) + rhi = rband.hi + rem = exp_remainder(rhi) + for cf, jf in F: + for cg, jg in G: + coef = cf * cg + rc = raw_cov(jf, jg) + if rc is not None: + p, he = rc + poly = poly + coef * p + err += coef.maxabs(rband) * he.maxabs(rband) * rem + # torus periodization remainder on every raw entry (before normalization) + err += coef.maxabs(rband) * eps_torus + return poly, poly.eval(rband) + IV(-err, err) + + +def matrices(rband, L): + pins, targets = functionals() + eps = Fr(0) if MUT == 'drop-torus-error' else torus_epsilon(L, rband.hi) + P = [pins[n] for n in PIN_NAMES] + T = [targets[n] for n in TARGET_NAMES] + Spp = [[None] * 6 for _ in range(6)] + Stp = [[None] * 6 for _ in range(6)] + Stt = [[None] * 6 for _ in range(6)] + for i in range(6): + for j in range(6): + pol, Spp[i][j] = cov_functional(P[i], P[j], rband, eps) + require(pol.minpow() >= 0, 'pin covariance has a negative Laurent power: %s %s' % (PIN_NAMES[i], PIN_NAMES[j])) + pol, Stp[i][j] = cov_functional(T[i], P[j], rband, eps) + require(pol.minpow() >= 0, 'target-pin covariance has a negative Laurent power') + pol, Stt[i][j] = cov_functional(T[i], T[j], rband, eps) + require(pol.minpow() >= 0, 'target covariance has a negative Laurent power') + return Spp, Stp, Stt, eps + + +def solve_iv(A, B): + """Interval Gaussian elimination with partial pivoting on midpoints: returns X with A X_i = B_i for each column B_i.""" + n = len(A) + M = [[A[i][j] for j in range(n)] + [B[c][i] for c in range(len(B))] for i in range(n)] + for col in range(n): + p = max(range(col, n), key=lambda i: abs(M[i][col].mid())) + M[col], M[p] = M[p], M[col] + piv = M[col][col] + for i in range(col + 1, n): + f = M[i][col] / piv + for j in range(col, len(M[i])): + M[i][j] = M[i][j] - f * M[col][j] + X = [] + for c in range(len(B)): + x = [None] * n + for i in reversed(range(n)): + s = M[i][n + c] + for j in range(i + 1, n): + s = s - M[i][j] * x[j] + x[i] = s / M[i][i] + X.append(x) + return X + + +def regression(rband, L, mats=None): + """Interval regression of the preconditioned targets on the pins over an r-band: the conditional mean is exactly + b * alpha + k * beta (the pin values are b (1, 0, 0, 0, 0, 0) + k (-r^3/2, -r^2, 12, 0, 0, 0)); alpha, beta and the + conditional covariance C depend on r only.""" + Spp, Stp, Stt, eps = mats if mats is not None else matrices(rband, L) + W = solve_iv(Spp, Stp) # W[i] = Spp^{-1} Stp[i] + r = rband + kvec = [-r * r * r / 2, -r * r, IV(12), IV(0), IV(0), IV(0)] + alpha = [W[i][0] for i in range(6)] + beta = [sum((W[i][j] * kvec[j] for j in range(6)), IV(0)) for i in range(6)] + C = [[Stt[i][j] - sum((W[i][l] * Stp[j][l] for l in range(6)), IV(0)) for j in range(6)] for i in range(6)] + for i in range(6): + for j in range(i + 1, 6): + C[i][j] = C[j][i] = C[i][j].meet(C[j][i]) + # torus normalizer K_L(0) = 1: the whole covariance is divided by sum_n exp(-|nL|^2/2) in [1, 1 + eps0] + eps0 = Fr(0) if MUT == 'drop-torus-error' else torus_epsilon(L, Fr(0)) + scale = IV(1 / (1 + eps0), 1) + C = [[C[i][j] * scale for j in range(6)] for i in range(6)] + return alpha, beta, C + + +def conditional(rband, bband, kband, L, mats=None): + alpha, beta, C = regression(rband, L, mats) + mu = [bband * alpha[i] + kband * beta[i] for i in range(6)] + return mu, C + + +def cholesky_iv(C): + n = len(C) + Lm = [[IV(0)] * n for _ in range(n)] + for i in range(n): + for j in range(i + 1): + s = C[i][j] + for k in range(j): + s = s - Lm[i][k] * Lm[j][k] + if i == j: + Lm[i][i] = isqrt_iv(s) + else: + Lm[i][j] = s / Lm[j][j] + return Lm + + +# ----------------------------------------------------------------------------- cell bounds +BLOCKS = ((0, 1), (2, 3), (4, 5)) # (wM, om), (TM, tau), (vM, nu) in TARGET_NAMES order + + +def block_prob(mu_p, mu_q, Lpp, Lqp, Lqq, lp, hp, lq, hq, pieces): + """Lower bound of P(mu_p + Lpp z_a in [lp, hp], mu_q + Lqp z_a + Lqq z_b in [lq, hq]) for independent standard + normals z_a, z_b, valid for every realization inside the interval data. The inner integrand + g(s) = Phi((hq - mu_q - Lqp s)/Lqq) - Phi((lq - mu_q - Lqp s)/Lqq) is unimodal in s (its derivative is + -Lqp/Lqq (phi(u) - phi(l)) with u > l, which changes sign once, where u + l = 0), so its minimum over a piece is + attained at an endpoint.""" + A = ((IV(lp) - mu_p) / Lpp).hi + B = ((IV(hp) - mu_p) / Lpp).lo + A = max(A, Fr(-Z_MAX)) + B = min(B, Fr(Z_MAX)) + if B <= A: + return IV(0) + total = IV(0) + edges = [A + (B - A) * i / pieces for i in range(pieces + 1)] + gvals = [] + for s in edges: + u = (IV(hq) - mu_q - Lqp * s) / Lqq + l = (IV(lq) - mu_q - Lqp * s) / Lqq + g = Phi(u) - Phi(l) + gvals.append(g) + for i in range(pieces): + g0, g1 = gvals[i], gvals[i + 1] + if MUT == 'swap-minmax': + gmin = max(g0.lo, g1.lo) + else: + gmin = min(g0.lo, g1.lo) + if gmin <= 0: + continue + pw = Phi(IV(edges[i + 1])).lo - Phi(IV(edges[i])).hi + if pw <= 0: + continue + total = total + IV(gmin) * IV(pw) + return total + + +def band_data(rband, L, grid=GRID, mats=None): + """Everything that depends on r only: the regression, the block Cholesky factor, and the cell probabilities in the + centred coordinates y = x - b alpha - k beta (conditional mean exactly zero for every b, k).""" + alpha, beta, C = regression(rband, L, mats) + Lm = cholesky_iv(C) + zero = [IV(0)] * 6 + eta = [] + for i in range(6): + blk = [bb for bb in BLOCKS if i in bb][0] + eta.append(sum(max(abs(Lm[i][j].lo), abs(Lm[i][j].hi)) for j in range(i) if j not in blk) * Z_MAX) + sd = [isqrt_iv(C[i][i]).hi for i in range(6)] + + def bp(blk, lo_p, hi_p, lo_q, hi_q, pieces): + p, q = blk + return block_prob(zero[p], zero[q], Lm[p][p], Lm[q][p], Lm[q][q], lo_p + eta[p], hi_p - eta[p], lo_q + eta[q], hi_q - eta[q], pieces) + + cT, cv, nv, nw, span, nT = grid['c_T'], grid['c_v'], grid['n_v'], grid['n_w'], grid['span_w'], grid['n_T'] + # xx block: y_TM slabs times a y_tau box + Tedges = [-cT * sd[2] + 2 * cT * sd[2] * i / nT for i in range(nT + 1)] + taubox = (-cT * sd[3], cT * sd[3]) + P_T = [bp(BLOCKS[1], Tedges[t], Tedges[t + 1], taubox[0], taubox[1], grid['pieces_T']) for t in range(nT)] + # xy block: |y_vM| slabs times a y_nu box + vedges = [cv * sd[4] * i / nv for i in range(nv + 1)] + P_v = [] + for l in range(nv): + a, c = vedges[l], vedges[l + 1] + P_v.append(bp(BLOCKS[2], a, c, -cv * sd[5], cv * sd[5], grid['pieces_v']) + bp(BLOCKS[2], -c, -a, -cv * sd[5], cv * sd[5], grid['pieces_v'])) + # yy block: cells in (y_wM, y_om); w_M = y_wM + b alpha_0 + ... < 0 needs y_wM below about b, so the y_wM grid + # stops at the top of the b band (alpha_0 is -1 up to the torus remainder) + no = grid['n_o'] + ytop = BAND_B[1] + Fr(1, 8) + eM = [-span * sd[0] + (ytop + span * sd[0]) * i / nw for i in range(nw + 1)] + eO = [-span * sd[1] + 2 * span * sd[1] * j / no for j in range(no + 1)] + P_w = [[bp(BLOCKS[0], eM[i], eM[i + 1], eO[j], eO[j + 1], grid['pieces_w']) for j in range(no)] for i in range(nw)] + tail = 12 * (1 - Phi(IV(Z_MAX)).lo) + return {'alpha': alpha, 'beta': beta, 'C': C, 'sd': sd, 'Tedges': Tedges, 'taubox': taubox, 'P_T': P_T, 'vedges': vedges, 'P_v': P_v, + 'eM': eM, 'eO': eO, 'P_w': P_w, 'tail': tail, 'rband': rband} + + +def subbox_floor(data, bband, kband): + """Certified lower bound of Z_r on the (r-band) x bband x kband box from the band data; returns (Z_lower, floor for Z_r / r^2). + The sum over cells factorizes: sum_{i,t} P_T[t] [sum_l detM(i,l,t) P_v[l]] [sum_j detS(i,j,t) P_w[i][j]], every factor a + nonnegative lower bound; the |z|_inf > Z_MAX tail is subtracted once through sum_cells detM detS.""" + r, b, k = data['rband'], bband, kband + al, be = data['alpha'], data['beta'] + mu = [b * al[i] + k * be[i] for i in range(6)] # x = y + mu, mu an interval over the sub-box + Tedges, (talo, tahi), P_T = data['Tedges'], data['taubox'], data['P_T'] + ta = IV(talo, tahi) + mu[3] + nT = len(P_T) + nv = len(data['P_v']) + xy2 = [] + for l in range(nv): + c = data['vedges'][l + 1] + vmax = max(abs(-c + mu[4].lo), abs(c + mu[4].hi)) + xy2.append((r * IV(vmax * vmax) / k).hi) # H_xy(M)^2 / (r k) on the slab + eM, eO, P_w, tail = data['eM'], data['eO'], data['P_w'], data['tail'] + nw, no = len(P_w), len(P_w[0]) + total = Fr(0) + detsum = Fr(0) + for t in range(nT): + TM = IV(Tedges[t], Tedges[t + 1]) + mu[2] + hxxM = r * TM / k - 6 # H_xx(M) / (r k) + hxxS = r * (TM + r * ta) / k + 6 # H_xx(S) / (r k) + if hxxM.hi >= 0 or hxxS.lo <= 0: + continue + for i in range(nw): + wM = IV(eM[i], eM[i + 1]) + mu[0] + if wM.hi >= 0: + continue + prodM = (hxxM * wM).lo + sM = Fr(0) + dM = Fr(0) + for l in range(nv): + detM = prodM - xy2[l] # det H_M / (r k) >= detM on the cell + if detM <= 0: + continue + sM += detM * data['P_v'][l].lo + dM += detM + if sM <= 0: + continue + sS = Fr(0) + dS = Fr(0) + for j in range(no): + wS = wM + r * (IV(eO[j], eO[j + 1]) + mu[1]) + if wS.hi >= 0: + continue + detS = -(hxxS * wS).hi # |det H_S| / (r k) >= detS (H_xy(S)^2 >= 0 dropped) + if MUT == 'sign-saddle': + detS = (hxxS * wS).hi + if detS <= 0: + continue + sS += detS * P_w[i][j].lo + dS += detS + total += P_T[t].lo * sM * sS + detsum += dM * dS + q = rdown(total - tail * detsum) # Z_r / (r^2 k^2) >= q on the box + if q <= 0: + return Fr(0), Fr(0) + fl = q * k.lo * k.lo + fl = Fr(fl.numerator * (1 << 64) // fl.denominator, 1 << 64) # rounded down to 2^-64 for storage + return fl * r.lo * r.lo, fl + + +def band_floor(rband, bband, kband, L, grid=GRID, mats=None): + data = band_data(rband, L, grid, mats) + zlo, fl = subbox_floor(data, bband, kband) + return zlo, fl, {'P_T': [float(p.lo) for p in data['P_T']], 'P_v': [float(p.lo) for p in data['P_v']]} + + +# ----------------------------------------------------------------------------- floating controls (not certified) +def float_conditional(r, b, k): + """Direct floating regression of the six Hessian entries on the six raw pins (continuum kernel), for comparison.""" + def he(n, x): + a, bb = 1.0, x + if n == 0: + return a + for kk in range(1, n): + a, bb = bb, x * bb - kk * a + return bb + + def cov(al, s, be, t): + g = (al[0] + be[0], al[1] + be[1]) + y = (t[0] - s[0], t[1] - s[1]) + v = 1.0 + for gi, yi in zip(g, y): + v *= (-1) ** gi * he(gi, yi) * math.exp(-yi * yi / 2) + return (-1) ** (al[0] + al[1]) * v + M = (-r / 2, 0.0) + S = (r / 2, 0.0) + obs = [((0, 0), M), ((1, 0), M), ((0, 1), M), ((0, 0), S), ((1, 0), S), ((0, 1), S)] + vals = [b, 0, 0, b - k * r ** 3, 0, 0] + tg = [((0, 2), M), ((0, 2), S), ((2, 0), M), ((2, 0), S), ((1, 1), M), ((1, 1), S)] + Soo = [[cov(a, s, c, t) for (c, t) in obs] for (a, s) in obs] + Sto = [[cov(a, s, c, t) for (c, t) in obs] for (a, s) in tg] + Stt = [[cov(a, s, c, t) for (c, t) in tg] for (a, s) in tg] + n = 6 + A = [row[:] + [Sto[c][i] for c in range(6)] for i, row in enumerate(Soo)] + for col in range(n): + p = max(range(col, n), key=lambda i: abs(A[i][col])) + A[col], A[p] = A[p], A[col] + for i in range(col + 1, n): + f = A[i][col] / A[col][col] + for j in range(col, 2 * n): + A[i][j] -= f * A[col][j] + W = [] + for c in range(6): + x = [0.0] * n + for i in reversed(range(n)): + x[i] = (A[i][n + c] - sum(A[i][j] * x[j] for j in range(i + 1, n))) / A[i][i] + W.append(x) + mu = [sum(W[i][j] * vals[j] for j in range(6)) for i in range(6)] + C = [[Stt[i][j] - sum(W[i][l] * Sto[j][l] for l in range(6)) for j in range(6)] for i in range(6)] + return mu, C + + +def float_mc(r, b, k, n, seed): + """Monte Carlo of Z_r / r^2 (continuum kernel, floating point).""" + mu, C = float_conditional(r, b, k) + # symmetric square root by Jacobi + A = [row[:] for row in C] + V = [[float(i == j) for j in range(6)] for i in range(6)] + for _ in range(60): + for p in range(5): + for q in range(p + 1, 6): + if abs(A[p][q]) < 1e-300: + continue + th = 0.5 * math.atan2(2 * A[p][q], A[q][q] - A[p][p]) + c, s_ = math.cos(th), math.sin(th) + for kk in range(6): + akp, akq = A[kk][p], A[kk][q] + A[kk][p], A[kk][q] = c * akp - s_ * akq, s_ * akp + c * akq + for kk in range(6): + apk, aqk = A[p][kk], A[q][kk] + A[p][kk], A[q][kk] = c * apk - s_ * aqk, s_ * apk + c * aqk + for kk in range(6): + vkp, vkq = V[kk][p], V[kk][q] + V[kk][p], V[kk][q] = c * vkp - s_ * vkq, s_ * vkp + c * vkq + root = [math.sqrt(max(A[i][i], 0.0)) for i in range(6)] + Lm = [[sum(V[i][kk] * root[kk] * V[j][kk] for kk in range(6)) for j in range(6)] for i in range(6)] + rng = random.Random(seed) + acc = acc2 = 0.0 + for _ in range(n): + z = [rng.gauss(0, 1) for _ in range(6)] + h = [mu[i] + sum(Lm[i][j] * z[j] for j in range(6)) for i in range(6)] + wM, wS, xxM, xxS, xyM, xyS = h + dM = xxM * wM - xyM ** 2 + dS = xxS * wS - xyS ** 2 + v = abs(dM) * abs(dS) if (xxM < 0 and dM > 0 and dS < 0) else 0.0 + acc += v + acc2 += v * v + m = acc / n + return m / r ** 2, math.sqrt(max(acc2 / n - m * m, 0.0) / n) / r ** 2 + + +def z0_limit(b, k): + """36 k^2 E[A^2 1{A < 0}], A ~ N(-b, 2) ([LP] (5.4) with the planar contact law A_0 ~ N(-b, 2)).""" + s = math.sqrt(2) + m = -b + a = -m / s + Ph = 0.5 * (1 + math.erf(a / math.sqrt(2))) + ph = math.exp(-a * a / 2) / math.sqrt(2 * math.pi) + e = m * m * Ph - 2 * m * s * ph + s * s * (Ph - a * ph) + return 36 * k * k * e + + +# ----------------------------------------------------------------------------- driver +def subboxes(band): + spec = BANDS[band] + r0, r1 = spec['r'] + n = spec['steps'] + rs = [r0 + (r1 - r0) * i / n for i in range(n + 1)] + bs = [BAND_B[0] + (BAND_B[1] - BAND_B[0]) * i / B_STEPS for i in range(B_STEPS + 1)] + ks = [BAND_K[0] + (BAND_K[1] - BAND_K[0]) * i / K_STEPS for i in range(K_STEPS + 1)] + return rs, bs, ks + + +def key(r0, r1, b0, b1, k0, k1): + return 'r=[%s,%s],b=[%s,%s],k=[%s,%s]' % (r0, r1, b0, b1, k0, k1) + + +def parse_key(kk): + parts_ = kk.replace('r=[', '').replace('],b=[', ',').replace('],k=[', ',').replace(']', '').split(',') + return [Fr(x) for x in parts_] + + +def certify_rband(args): + band, ir = args + rs, bs, ks = subboxes(band) + rband = IV(rs[ir], rs[ir + 1]) + data = band_data(rband, BANDS[band]['L_min']) + out = {} + for ib in range(B_STEPS): + for ik in range(K_STEPS): + zlo, fl = subbox_floor(data, IV(bs[ib], bs[ib + 1]), IV(ks[ik], ks[ik + 1])) + out[key(rs[ir], rs[ir + 1], bs[ib], bs[ib + 1], ks[ik], ks[ik + 1])] = {'floor': str(fl), 'floor_float': float(fl)} + return out + + +def control_keys(band, table): + """Deterministic choice of the sub-boxes that receive floating Monte Carlo controls: the band's argmin, a grid of + (r, b, k) corners, and for each (b, k) corner box in {low, middle, high}^2 the box attaining the minimum floor + among r <= r_top / 2 and among the whole band (the boxes quoted in NOTE.md section 3).""" + rs, bs, ks = subboxes(band) + n = BANDS[band]['steps'] + fl = {kk: Fr(v['floor']) for kk, v in table.items()} + chosen = {min(fl, key=fl.get)} + for ir in (0, n // 4, n // 2, 3 * n // 4, n - 1): + for (ib, ik) in ((0, 0), (B_STEPS - 1, K_STEPS - 1), (B_STEPS // 2, K_STEPS // 2), (0, K_STEPS - 1), (B_STEPS - 1, 0)): + chosen.add(key(rs[ir], rs[ir + 1], bs[ib], bs[ib + 1], ks[ik], ks[ik + 1])) + r_top = BANDS[band]['r'][1] + for b0 in (bs[0], bs[B_STEPS // 2], bs[B_STEPS - 1]): + for k0 in (ks[0], ks[K_STEPS // 2], ks[K_STEPS - 1]): + for rmax in (r_top / 2, r_top): + cand = [kk for kk in fl if (lambda p_: p_[1] <= rmax and p_[2] == b0 and p_[4] == k0)(parse_key(kk))] + chosen.add(min(cand, key=fl.get)) + return sorted(chosen) + + +def float_controls(band, table): + controls = {} + for kk in control_keys(band, table): + r0, r1, b0, b1, k0, k1 = parse_key(kk) + row = {} + for (r, b, k, tag) in ((r1, b0, k0, 'r1,b0,k0'), (r0, b1, k1, 'r0,b1,k1')): + m, se = float_mc(float(r), float(b), float(k), 40000, 2026) + row[tag] = {'r': float(r), 'b': float(b), 'k': float(k), 'mc': m, 'se': se, 'z0': z0_limit(float(b), float(k))} + controls[kk] = row + return controls + + +def replay_sample(band): + """Sub-boxes replayed exactly by --check: one r-band per 32 (high) or per 18 (low), (b, k) indices stepping.""" + rs, bs, ks = subboxes(band) + n = BANDS[band]['steps'] + irs = (0, 38, 76, 114, 152, 191) if band == 'high' else (0, 18, 37, 55) + assert all(ir < n for ir in irs) + return [key(rs[ir], rs[ir + 1], bs[ib], bs[ib + 1], ks[ik], ks[ik + 1]) + for j, ir in enumerate(irs) + for (ib, ik) in [((3 * j) % B_STEPS, (5 * j + 2) % K_STEPS)]] + + +def dec(x, digits=10): + """Decimal string rounded down.""" + x = Fr(x) + n = x.numerator * 10 ** digits // x.denominator + s_ = str(abs(n)).rjust(digits + 1, '0') + return ('-' if n < 0 else '') + s_[:-digits] + '.' + s_[-digits:] + + +def band_record(band, table): + zstar = min(Fr(v['floor']) for v in table.values()) + argmin = min(table, key=lambda kk: Fr(table[kk]['floor'])) + spec = BANDS[band] + return {'r_range': [str(spec['r'][0]), str(spec['r'][1])], 'r_steps': spec['steps'], 'L_min': spec['L_min'], + 'statement': 'For d = 2, every frame, every torus side L >= %d, every r in [%s, %s], b in [%s, %s], k in [%s, %s]: Z_r / r^2 >= z_star.' % ( + spec['L_min'], spec['r'][0], spec['r'][1], BAND_B[0], BAND_B[1], BAND_K[0], BAND_K[1]), + 'z_star': str(zstar), 'z_star_decimal': dec(zstar), 'argmin': argmin, + 'torus_epsilon_at_rmax': float(torus_epsilon(spec['L_min'], spec['r'][1])), 'torus_epsilon0': float(torus_epsilon(spec['L_min'], Fr(0))), + 'table': table, 'float_controls': float_controls(band, table)} + + +def combined(res): + """The combined statement: the weaker L floor of the two bands, the whole r range, the smaller z_star.""" + lo, hi = res['bands']['low'], res['bands']['high'] + z = min(Fr(lo['z_star']), Fr(hi['z_star'])) + return {'L_min': max(lo['L_min'], hi['L_min']), 'r_range': [lo['r_range'][0], hi['r_range'][1]], 'z_star': str(z), 'z_star_decimal': dec(z), + 'statement': 'For d = 2, every frame, every torus side L >= %d, every r in [%s, %s], b in [%s, %s], k in [%s, %s]: Z_r / r^2 >= %s (the high band alone holds for L >= %d).' % ( + max(lo['L_min'], hi['L_min']), lo['r_range'][0], hi['r_range'][1], BAND_B[0], BAND_B[1], BAND_K[0], BAND_K[1], dec(z), hi['L_min'])} + + +def full_run(procs, bands=None): + """Certify the listed bands (default: all) and merge them into RESULTS.json (other bands kept).""" + path = os.path.join(HERE, 'RESULTS.json') + res = {} + if os.path.exists(path): + with open(path) as fh: + res = json.load(fh) + res.setdefault('bands', {}) + for band in (bands or BAND_ORDER): + n = BANDS[band]['steps'] + with multiprocessing.Pool(procs) as pool: + parts = pool.map(certify_rband, [(band, ir) for ir in range(n)]) + table = {} + for part in parts: + table.update(part) + res['bands'][band] = band_record(band, table) + res.update({ + 'object': 'CL-C8-NORMALIZER-FLOOR-PLANAR-20260930-v1', + 'scientific_effect': 'NONE', 'certified': True, 'kind': 'certified lower bound (exact rational interval arithmetic)', + 'parameters': {'PBITS': PBITS, 'N_EXP': N_EXP, 'Z_MAX': Z_MAX, 'B_STEPS': B_STEPS, 'K_STEPS': K_STEPS, + 'grid': {k_: (str(v_) if isinstance(v_, Fr) else v_) for k_, v_ in GRID.items()}, + 'bands': {name: {'r_range': [str(v['r'][0]), str(v['r'][1])], 'r_steps': v['steps'], 'L_min': v['L_min']} for name, v in BANDS.items()}}, + 'table_note': 'floor = certified lower bound of Z_r / r^2 on the box (exact rational, rounded down to 2^-64); Z_r >= floor * r_lo^2 on the box', + 'mutant': MUT, + }) + if all(b in res['bands'] for b in BANDS): + res['combined'] = combined(res) + return res + + +def write_results(res): + with open(os.path.join(HERE, 'RESULTS.json'), 'w') as fh: + json.dump(res, fh, indent=1, sort_keys=True) + fh.write('\n') + + +def load_results(): + path = os.path.join(HERE, 'RESULTS.json') + require(os.path.exists(path), 'RESULTS.json present') + with open(path) as fh: + return json.load(fh) + + +def check_full(procs, bands=None, rbands=None): + """Regenerate every sub-box floor of the listed bands (or the r-band indices listed) and compare exactly with + RESULTS.json; the floating controls are recomputed and compared to 1e-9 relative (platform libm).""" + ref = load_results() + n_total = 0 + for band in (bands or BAND_ORDER): + rec = ref['bands'][band] + sel = list(range(BANDS[band]['steps'])) if rbands is None else rbands + with multiprocessing.Pool(procs) as pool: + parts = pool.map(certify_rband, [(band, ir) for ir in sel]) + n = 0 + for part in parts: + for kk, v in part.items(): + require(kk in rec['table'], 'sub-box present: %s %s' % (band, kk)) + require(v['floor'] == rec['table'][kk]['floor'], 'exact regeneration of %s %s' % (band, kk)) + n += 1 + n_total += n + if rbands is None: + require(n == len(rec['table']) == BANDS[band]['steps'] * B_STEPS * K_STEPS, 'table complete: ' + band) + zs = min(Fr(v['floor']) for v in rec['table'].values()) + require(str(zs) == rec['z_star'], 'z_star is the minimum of the regenerated table: ' + band) + controls = float_controls(band, rec['table']) + require(sorted(controls) == sorted(rec['float_controls']), 'control set: ' + band) + for kk, row in controls.items(): + for tag, c in row.items(): + r0 = rec['float_controls'][kk][tag] + for name in ('mc', 'se', 'z0'): + require(abs(c[name] - r0[name]) <= 1e-9 * max(abs(r0[name]), 1e-300), 'control %s %s %s %s' % (band, kk, tag, name)) + print(json.dumps({'check_full': 'ok', 'sub_boxes_regenerated': n_total, 'bands': bands or list(BAND_ORDER), 'z_star_combined': ref.get('combined', {}).get('z_star_decimal'), 'mutant': MUT})) + + +def check_run(): + ref = load_results() + require(sorted(ref['bands']) == sorted(BANDS), 'both bands present') + for band in BAND_ORDER: + rec = ref['bands'][band] + spec = BANDS[band] + require(rec['L_min'] == spec['L_min'] and rec['r_steps'] == spec['steps'] and rec['r_range'] == [str(spec['r'][0]), str(spec['r'][1])], 'band record matches the code: ' + band) + require(len(rec['table']) == spec['steps'] * B_STEPS * K_STEPS, 'table size: ' + band) + # 1. the stored floor is the minimum of the table + zs = min(Fr(v['floor']) for v in rec['table'].values()) + require(str(zs) == rec['z_star'] and dec(zs) == rec['z_star_decimal'], 'z_star is the minimum of the table: ' + band) + # 2. exact replay of the argmin sub-box and of sub-boxes spread over the band; the complete regeneration is --check-full + for kk in [rec['argmin']] + replay_sample(band): + r0, r1, b0, b1, k0, k1 = parse_key(kk) + zlo, fl, _ = band_floor(IV(r0, r1), IV(b0, b1), IV(k0, k1), spec['L_min']) + require(str(fl) == rec['table'][kk]['floor'], 'exact replay of %s %s' % (band, kk)) + # 3. every certified floor lies below its floating Monte Carlo controls (sanity, not proof) + require(sorted(rec['float_controls']) == control_keys(band, rec['table']), 'control boxes are the deterministic choice: ' + band) + for kk, row in rec['float_controls'].items(): + v = rec['table'][kk] + for tag, c in row.items(): + require(Fr(v['floor']) <= Fr(c['mc']) + 5 * Fr(c['se']), 'floor below MC + 5 se at %s %s %s' % (band, kk, tag)) + require(Fr(v['floor']) <= Fr(c['z0']) * Fr(101, 100), 'floor below the r -> 0 limit z_0 at %s %s %s' % (band, kk, tag)) + comb = combined(ref) + require(comb == ref['combined'], 'combined statement') + # 4. the preconditioned regression agrees with the direct floating regression at a point band + # the direct floating regression on the raw pins is ill conditioned (condition number ~ r^-6), so its tolerance + # is loosened at r = 1/32; the exact preconditioned regression keeps its 1e-6 enclosure width everywhere + for (r, b, k, tol) in ((Fr(1, 4), Fr(1, 2), Fr(1), 1e-9), (Fr(3, 8), Fr(0), Fr(2), 1e-9), (Fr(1, 32), Fr(1), Fr(1, 2), 1e-5)): + mu, C = conditional(IV(r), IV(b), IV(k), 12) + fmu, fC = float_conditional(float(r), float(b), float(k)) + rr = float(r) + kk_ = float(k) + # H = A x + shift with x = (wM, om, TM, tau, vM, nu): wS = wM + r om, xxM = r^2 TM - 6 k r, xxS = r^2 TM + r^3 tau + 6 k r, xyM = r vM, xyS = r^2 nu - r vM + A = [[1, 0, 0, 0, 0, 0], [1, rr, 0, 0, 0, 0], [0, 0, rr * rr, 0, 0, 0], [0, 0, rr * rr, rr ** 3, 0, 0], [0, 0, 0, 0, rr, 0], [0, 0, 0, 0, -rr, rr * rr]] + shift = [0.0, 0.0, -6 * kk_ * rr, 6 * kk_ * rr, 0.0, 0.0] + m = [float(v.mid()) for v in mu] + c = [[float(C[i][j].mid()) for j in range(6)] for i in range(6)] + hm = [sum(A[i][j] * m[j] for j in range(6)) + shift[i] for i in range(6)] + hc = [[sum(A[i][a] * c[a][bb] * A[j][bb] for a in range(6) for bb in range(6)) for j in range(6)] for i in range(6)] + for i in range(6): + require(abs(hm[i] - fmu[i]) < tol * (1 + abs(fmu[i])), 'mean agreement %d at r=%s' % (i, r)) + for j in range(6): + require(abs(hc[i][j] - fC[i][j]) < tol * (1 + abs(fC[i][j])), 'covariance agreement %d %d at r=%s' % (i, j, r)) + require(mu[i].width() < Fr(1, 10 ** 6) and C[i][i].width() < Fr(1, 10 ** 6), 'point-band enclosure width') + # 5. constants + require(abs(PI.mid() - Fr(3141592653589793, 10 ** 15)) < Fr(1, 10 ** 15) and PI.width() < Fr(1, 10 ** 30), 'pi enclosure') + require(phi_point(Fr(0)).contains(Fr(1, 2)) and abs(Phi(IV(1)).mid() - Fr(8413447460685429, 10 ** 16)) < Fr(1, 10 ** 15) and Phi(IV(1)).width() < Fr(1, 10 ** 30), 'Phi enclosure') + require(abs(exp_neg_point(Fr(1)).mid() - Fr(36787944117144233, 10 ** 17)) < Fr(1, 10 ** 15) and exp_neg_point(Fr(1)).width() < Fr(1, 10 ** 30), 'exp enclosure') + require(abs(SQRT2.mid() * SQRT2.mid() - 2) < Fr(1, 10 ** 40), 'sqrt enclosure') + print(json.dumps({'check': 'ok', 'z_star_combined': ref['combined']['z_star_decimal'], 'z_star_high': ref['bands']['high']['z_star_decimal'], 'z_star_low': ref['bands']['low']['z_star_decimal'], 'mutant': MUT})) + + +def main(): + global MUT + ap = argparse.ArgumentParser() + ap.add_argument('--check', action='store_true') + ap.add_argument('--mutant', choices=MUTANTS) + ap.add_argument('--procs', type=int, default=4) + ap.add_argument('--quick', action='store_true', help='one sub-box of the high band, print the floor and a Monte Carlo control') + ap.add_argument('--controls', action='store_true', help='recompute only the floating controls of an existing RESULTS.json') + ap.add_argument('--check-full', action='store_true', help='regenerate every sub-box of the listed bands and compare exactly with RESULTS.json') + ap.add_argument('--band', type=str, default=None, help='comma-separated band names (low, high); default all') + ap.add_argument('--rbands', type=str, default=None, help='with --check-full: comma-separated r-band indices to regenerate instead of all') + args = ap.parse_args() + MUT = args.mutant + bands = None if args.band is None else args.band.split(',') + if args.check_full: + check_full(args.procs, bands, None if args.rbands is None else [int(x) for x in args.rbands.split(',')]) + return + if args.check: + check_run() + return + if args.quick: + rs, bs, ks = subboxes('high') + import time + t0 = time.time() + zlo, fl, diag = band_floor(IV(rs[0], rs[1]), IV(bs[0], bs[1]), IV(ks[0], ks[1]), BANDS['high']['L_min']) + print('floor', float(fl), diag, 'time', time.time() - t0) + print('mc at r1,b0,k0', float_mc(float(rs[1]), float(bs[0]), float(ks[0]), 20000, 1), 'z0', z0_limit(float(bs[0]), float(ks[0]))) + return + if args.controls: + res = load_results() + for band in (bands or BAND_ORDER): + res['bands'][band]['float_controls'] = float_controls(band, res['bands'][band]['table']) + write_results(res) + print(json.dumps({'controls': {band: len(res['bands'][band]['float_controls']) for band in res['bands']}})) + return + res = full_run(args.procs, bands) + write_results(res) + print(json.dumps({band: (res['bands'][band]['z_star_decimal'], res['bands'][band]['argmin']) for band in res['bands']})) + + +if __name__ == '__main__': + main()