table A17.2partmod11.pdf  sha256 5fc25225111a24ebb566ef89f6798443b3a5353a33a5dd6b7535708edd44aca8
S_17 mod 11; pypdf 6.16.2
pages: 158, sections: 168; row blocks: 8; column blocks: 21
title line: 'A17.2 (mod 11)'
partitions of 17: 297; rows found: 297; columns: 286; distinct label strings among the partitions: 296
parse problems: 0
r-regular partitions: 286; columns = r-regular partitions with unitriangular block (James): True
r-regular classes: 286 (must equal the number of columns: True)
M B = X on all 297 rows x 286 classes: inconsistent pairs = 0; degrees positive: True
block check (nonzero decomposition numbers only between partitions with the same 11-core): violations = 0; blocks: 187, of defect zero (11-cores of size 17): 176
columns with a single nonzero entry: 176; single +1 alterations invisible to M B = X (and to unitriangularity and positive degrees): 16300; all of them violate the block check
17-cycle: fixed-space dimensions integral and >= 0: True; fixed-point-free on 2 simple module(s): ϕ3 = D^(16, 1) dim 16 [N]; ϕ4 = D^(2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1) dim 16 [N(x)sgn]; max |beta(x)| = 1
  list is exactly {N, N (x) sgn}: True
negative controls: entry (11161, ϕ1) + 1 -> 286 inconsistent pairs; entry (12415161, ϕ1) + 1 -> 0 inconsistent pairs
