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@@ -57,13 +57,23 @@ s40/
   analysis_n40.json       # targeted Kronecker results + statistics
 ```
 
+
+### Float64 Binary Character Tables (.dbin files) — April 2026
+
+Float64 (double-precision) binary versions of the character tables, formatted for direct GPU consumption by the CUDA Kronecker kernel. Each file stores the full character table as a flat row-major array of float64 values, dimensions p(n) x p(n).
+
+```
+s30/char_table_n30.dbin   # 240 MB — S30 character table, float64 binary
+s40/char_table_n40.dbin   # 11.15 GB — S40 character table, float64 binary
+```
+
 ### Full S_40 Kronecker Table — Status
 
 The full computation of all 8.68 trillion unique Kronecker triples requires a new GPU kernel with int128 or multi-precision arithmetic. The existing slab-by-slab FP64 kernel cannot handle character values up to 5.9 × 10²². This is planned for the 8×B200 cluster.
 
 ## S_30 — Largest Complete Kronecker Table Published
 
-26.4 billion nonzero Kronecker coefficients for S_30, computed in 7.4 minutes on a single NVIDIA B200. To our knowledge, the largest complete Kronecker coefficient table ever published.
+26,391,236,124 nonzero Kronecker coefficients out of 29,347,802,420 total triples (89.9%) for S_30, computed in 296 seconds on a single NVIDIA B200. Max |g(lambda, mu, nu)| = 51,798,395,983,223,240. To our knowledge, the largest complete Kronecker coefficient table ever published.
 
 ### Files