Ruzsa’s genus-one problem

witness #2169

N
3,275
|A|
44
exponent log |A| / log N
0.4675
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:40:57 UTC

Elements (44)

3, 7, 28, 32, 658, 663, 683, 688, 1050, 1065, 1075, 1182, 1192, 1207, 1312, 1317, 1337, 1342, 1708, 1710, 1718, 1733, 1735, 1847, 1967, 1982, 1992, 2358, 2360, 2365, 2383, 2385, 2390, 2492, 2497, 2517, 2522, 2628, 2638, 2653, 3013, 3018, 3038, 3043

Commentary

From the N=925 seed: complete to the saturated 25-point core, use GL2(Z/25) coordinates [[12,7],[23,10]], double by vertical shift 25, then delete six q=131 wraparound-defect points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:40:57 UTC · history

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