table A19.2partmod2.pdf  sha256 32f5bbfa517eb8ef7bc66c4e907e1f776a17735d7a5ff79ff411c485c7f9f730
S_19 mod 2; pypdf 6.16.2
pages: 50, sections: 52; row blocks: 13; column blocks: 4
title line: 'A19.2 (mod 2)'
partitions of 19: 490; rows found: 490; columns: 54; distinct label strings among the partitions: 489
parse problems: 0
r-regular partitions: 54; columns = r-regular partitions with unitriangular block (James): True
r-regular classes: 54 (must equal the number of columns: True)
M B = X on all 490 rows x 54 classes: inconsistent pairs = 0; degrees positive: True
block check (nonzero decomposition numbers only between partitions with the same 2-core): violations = 0; blocks: 3, of defect zero (2-cores of size 19): 0
columns with a single nonzero entry: 0; single +1 alterations invisible to M B = X (and to unitriangularity and positive degrees): 0; all of them violate the block check
19-cycle: fixed-space dimensions integral and >= 0: True; fixed-point-free on 1 simple module(s): ϕ2 = D^(18, 1) dim 18 [N]; max |beta(x)| = 4
  list is exactly {N} (r = 2, where N (x) sgn = N): True
17-cycle: fixed-space dimensions integral and >= 0: True; fixed-point-free on 0 simple module(s): none; max |beta(x)| = 4
negative controls: entry (12171, ϕ1) + 1 -> 54 inconsistent pairs; entry (2171101, ϕ1) + 1 -> 2970 inconsistent pairs
