Ruzsa’s genus-one problem

witness #2171

N
2,975
|A|
39
exponent log |A| / log N
0.4581
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:41:31 UTC

Elements (39)

2, 5, 17, 27, 30, 359, 368, 373, 374, 384, 958, 983, 1205, 1215, 1553, 1563, 1578, 1686, 1691, 1787, 1790, 1792, 1810, 1812, 1815, 1817, 2144, 2149, 2169, 2174, 2266, 2291, 2387, 2412, 2744, 2769, 2861, 2876, 2886

Commentary

From the N=925 seed: complete to a saturated 25-point exact core, choose GL2(Z/25) coordinates [[2,12],[0,9]], double by vertical shift 25, then delete eleven q=119 wraparound-defect points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:41:31 UTC · history

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