diff --git a/models/model_moire_c4.py b/models/model_moire_c4.py
index 19da233..189971f 100644
--- a/models/model_moire_c4.py
+++ b/models/model_moire_c4.py
@@ -583,6 +583,18 @@ def build_moire_c4(
     twobody.report(warn_frac)
     logger.info("")
 
+    # AutoMPO repeatedly compresses the running operator sum.  At production
+    # sizes, the interaction-map order contains long sequences that decay to
+    # ~1e-10 and then jump back to ~1e-2 at the next index family.  Adding in
+    # that order can make the repeated norm redistribution ill-conditioned
+    # and eventually feed non-finite values to an SVD.  Magnitude ordering is
+    # algebraically neutral, deterministic (Python's sort is stable), and
+    # keeps each partial sum well scaled.  Zero terms naturally move last and
+    # remain filtered by build_hamiltonian.
+    interactions.sort(key=lambda interaction: abs(interaction.cpl), reverse=True)
+    logger.info("  Ordered interactions by descending |coupling| for stable AutoMPO accumulation")
+    logger.info("")
+
     # Attach coefficient tables on the ops dict for tests / inspection.
     ops['_moire_B'] = B
     ops['_moire_V'] = Vtable
diff --git a/registry.yaml b/registry.yaml
index 5896e6f..8098a11 100644
--- a/registry.yaml
+++ b/registry.yaml
@@ -11,7 +11,7 @@ categories:
       - name: model_moire_c4
         file: models/model_moire_c4.py
         description: LLL-projected C4 moire model builder for Alice
-        sha256: a4c3b224270fdf73b9f57ee7221756f6a3de990a3467c7126c4d87c858902554
+        sha256: 809fa874fe7b1972ab3f38c89e9b1a591227acf667820c029c8effc41df03baa
 
   intrcmaps:
     description: Interaction maps for Alice