Ruzsa’s genus-one problem

witness #2179

N
38,750
|A|
123
exponent log |A| / log N
0.4555
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 17:34:49 UTC

Elements (123)

3, 13, 28, 38, 153, 163, 178, 188, 378, 388, 3110, 3125, 3135, 3250, 3260, 3275, 3285, 3475, 3485, 7752, 7762, 7777, 7787, 7902, 7912, 7927, 7937, 8127, 8137, 9302, 9327, 9452, 9477, 9677, 10853, 10858, 10875, 10878, 10883, 11000, 11003, 11008, 11025, 11028, 11033, 11225, 11228, 11233, 15502, 15527, 15652, 15677, 15877, 18605, 18610, 18613, 18630, 18635, 18638, 18755, 18760, 18763, 18780, 18785, 18788, 18980, 18985, 18988, 23257, 23258, 23262, 23263, 23282, 23283, 23287, 23288, 23407, 23408, 23412, 23413, 23432, 23433, 23437, 23438, 23632, 23633, 23637, 23638, 24807, 24812, 24832, 24837, 24957, 24962, 24982, 24987, 25182, 25187, 26353, 26363, 26378, 26388, 26503, 26513, 26528, 26538, 26728, 26738, 31003, 31028, 31153, 31178, 31378, 32552, 32562, 32577, 32587, 32702, 32712, 32727, 32737, 32927, 32937

Commentary

From the N=3625 exact-core family with T={0,1,6,7,15}. Near q=1550 the best GL2-oriented 125-template found has a two-point minimum defect transversal; removing it gives this valid 123-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:49 UTC · history

Log in to add commentary.