table A18.2partmod5.pdf  sha256 ac3c9926ea372307aad039fb7c223c8b93c5e0adb6ad62eab8511c4622bc8e80
S_18 mod 5; pypdf 6.16.2
pages: 190, sections: 190; row blocks: 10; column blocks: 19
title line: 'A18.2 (mod 5)'
partitions of 18: 385; rows found: 385; columns: 262; distinct label strings among the partitions: 384
parse problems: 0
r-regular partitions: 262; columns = r-regular partitions with unitriangular block (James): True
r-regular classes: 262 (must equal the number of columns: True)
M B = X on all 385 rows x 262 classes: inconsistent pairs = 0; degrees positive: True
block check (nonzero decomposition numbers only between partitions with the same 5-core): violations = 0; blocks: 36, of defect zero (5-cores of size 18): 20
columns with a single nonzero entry: 20; single +1 alterations invisible to M B = X (and to unitriangularity and positive degrees): 2750; all of them violate the block check
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 (15131, ϕ1) + 1 -> 262 inconsistent pairs; entry (325171, ϕ1) + 1 -> 2620 inconsistent pairs
