The gate that refuses a point group whose own operators "disagree among
themselves" read worst-agreeing over best-agreeing operator R. That divides
by an extreme order statistic - the pole the contrast gate was introduced to
remove - so a genuine group whose operators merely spread in a continuum is
refused as soon as one operator happens to agree unusually well.
That is what refused 432 on a private cubic F432 crystal after the overload
drop (37a8c8e24; bisected: that commit alone gives F23, b126b9fc1 does not
change the search). The crystal's intensity-weighted R is dominated by a few
dozen strong low-order reflections. Dropping the overloaded ones (whose
flank-extrapolated values disagreed ~2x with their mates) raised every
operator CC and made the cleanest 432 operator cleaner still, while
anisotropic systematic error keeps the genuine 23 operators spread ~2x
among themselves: worst-over-best went 2.68 -> 4.0 against the 3.2 bound.
H ratio (1.25) and contrast (0.78) passed throughout.
A mixture of real and false operators is specific: the real ones form a
subgroup (the true group's intersection with the candidate) and everything
outside it is false. The statistic is now the largest factor by which every
operator outside some subgroup reads worse than every operator inside it -
a gap, found by walking the operators sorted by R and reading each prefix
that closes into a group. It is never above worst-over-best, so nothing
admitted before can be refused; the bound stays 3.2. Read off the operator
tables of the all2 full battery and run 3: genuine adopted groups reach at
most 2.5 (the cubic crystal 1.8-2.0), the 5ebi 622 mixture reads 3.6
(was 6.0), 9hnc's false 422 3.4, and 2wnn's false 222 3.8 (unchanged, still
refused by this gate).
Targeted runs vs all2-full (f64f76): the private cubic set F23 -> F432
(pass); every other set identical to the last digit - five other private sets; open 5epe 8sqt 3inp 9fhc 6oel 7orr
8tyy 3ky7 6h5t 6moj 2wnn 5ebi 9hnc; lyso_x06da_ref, lyso_x06da_5keV,
myob_x06da_split; all small-molecule sets (citric R1 .0374, aspirin
.0363/.0358, hepes .0310, yag .1021, kdp, lcystine, cytidine, dnba,
lalanine, metformin, nidppe, cuhf2); and the high-spread trigonal/
tetragonal/hexagonal panel (insu_H twin/notwin, insu_I weak/low_isa, 6v2r,
8xtg, 5j23, 6iu6, 6iu8, 3mc4, 6vww, 7k1l, 9i80, 6pxb, 9hs7).
SearchSpaceGroup* and [SearchSpaceGroup] test cases pass.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01K5K8jvPPbmCrbqnWkddTuB
leonarski_fandClaude Opus 5.5
636c6a3067
