Ruzsa’s genus-one problem

witness #2162

N
3,300
|A|
42
exponent log |A| / log N
0.4613
status
superseded — the record is now |A| = 44
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:38:17 UTC

Elements (42)

8, 9, 13, 33, 34, 139, 142, 144, 152, 164, 167, 663, 664, 673, 679, 688, 689, 794, 804, 819, 1057, 1062, 1082, 1087, 1467, 1717, 1727, 1742, 1752, 1983, 2008, 2114, 2139, 2644, 2649, 2669, 2674, 2772, 2777, 2797, 2802, 3047

Commentary

From the N=925 seed: complete its affine-normalized 22-point exact (Z/25)^2 code to a saturated 25-point core, choose GL2(Z/25) coordinates [[9,4],[16,24]], double by vertical shift 25, and delete eight q=132 wraparound-defect points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:38:17 UTC · history

Log in to add commentary.