table A18.2partmod7.pdf  sha256 b8cb41d9821925b89adca1c98e096ae8e9ab925862d9f05f37150ebe59239552
S_18 mod 7; pypdf 6.16.2
pages: 240, sections: 240; row blocks: 10; column blocks: 24
title line: 'A18.2 (mod 7)'
partitions of 18: 385; rows found: 385; columns: 324; distinct label strings among the partitions: 384
parse problems: 0
r-regular partitions: 324; columns = r-regular partitions with unitriangular block (James): True
r-regular classes: 324 (must equal the number of columns: True)
M B = X on all 385 rows x 324 classes: inconsistent pairs = 0; degrees positive: True
block check (nonzero decomposition numbers only between partitions with the same 7-core): violations = 0; blocks: 89, of defect zero (7-cores of size 18): 63
columns with a single nonzero entry: 63; single +1 alterations invisible to M B = X (and to unitriangularity and positive degrees): 8458; 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)| = 2
negative controls: entry (17111, ϕ1) + 1 -> 324 inconsistent pairs; entry (213371, ϕ1) + 1 -> 0 inconsistent pairs
