table A17.2partmod5.pdf  sha256 8ee7c34a5e1ca52e8dc691eed426942462009cbc1afc66f1da816efe19915862
S_17 mod 5; pypdf 6.16.2
pages: 113, sections: 120; row blocks: 8; column blocks: 15
title line: 'A17.2 (mod 5)'
partitions of 17: 297; rows found: 297; columns: 205; distinct label strings among the partitions: 296
parse problems: 0
r-regular partitions: 205; columns = r-regular partitions with unitriangular block (James): True
r-regular classes: 205 (must equal the number of columns: True)
M B = X on all 297 rows x 205 classes: inconsistent pairs = 0; degrees positive: True
block check (nonzero decomposition numbers only between partitions with the same 5-core): violations = 0; blocks: 26, of defect zero (5-cores of size 17): 7
columns with a single nonzero entry: 7; single +1 alterations invisible to M B = X (and to unitriangularity and positive degrees): 760; 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^(4, 4, 4, 4, 1) dim 16 [N(x)sgn]; max |beta(x)| = 4
  list is exactly {N, N (x) sgn}: True
negative controls: entry (15121, ϕ1) + 1 -> 205 inconsistent pairs; entry (13314171, ϕ1) + 1 -> 205 inconsistent pairs
