Ruzsa’s genus-one problem

witness #2206

N
39,075
|A|
125
exponent log |A| / log N
0.4567
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 20:32:54 UTC

Elements (125)

0, 5, 12, 25, 30, 37, 150, 155, 162, 175, 180, 187, 375, 380, 387, 6255, 6256, 6261, 6265, 6280, 6281, 6286, 6290, 6405, 6406, 6411, 6415, 6430, 6431, 6436, 6440, 6630, 6631, 6636, 6640, 7815, 7817, 7825, 7827, 7840, 7842, 7850, 7852, 7965, 7967, 7975, 7977, 7990, 7992, 8000, 8002, 8190, 8192, 8200, 8202, 10952, 10977, 11102, 11127, 11327, 23455, 23480, 23605, 23630, 23830, 26572, 26577, 26597, 26602, 26722, 26727, 26747, 26752, 26947, 26952, 29700, 29701, 29705, 29711, 29725, 29726, 29730, 29736, 29850, 29851, 29855, 29861, 29875, 29876, 29880, 29886, 30075, 30076, 30080, 30086, 31262, 31267, 31287, 31292, 31412, 31417, 31437, 31442, 31637, 31642, 34387, 34397, 34412, 34422, 34537, 34547, 34562, 34572, 34762, 34772, 37525, 37526, 37550, 37551, 37675, 37676, 37700, 37701, 37900, 37901

Commentary

Same N=3875 seed construction: normalize the seed's +150 pairing by 6^{-1}, extract the 25-point exact core, use the span-14 GL2 orientation, tensor with {0,1,6,7,15}. Here q=1563.

last edited by Yongxi (Aaron) Lin at 2026-08-09 20:32:54 UTC · history

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