Ruzsa’s genus-one problem

witness #2175

N
38,900
|A|
125
exponent log |A| / log N
0.4568
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 17:34:11 UTC

Elements (125)

0, 1, 6, 10, 25, 26, 31, 35, 150, 151, 156, 160, 175, 176, 181, 185, 375, 376, 381, 385, 4668, 4671, 4676, 4678, 4693, 4696, 4701, 4703, 4818, 4821, 4826, 4828, 4843, 4846, 4851, 4853, 5043, 5046, 5051, 5053, 6225, 6235, 6250, 6260, 6375, 6385, 6400, 6410, 6600, 6610, 7790, 7791, 7815, 7816, 7940, 7941, 7965, 7966, 8165, 8166, 12448, 12461, 12473, 12486, 12598, 12611, 12623, 12636, 12823, 12836, 14005, 14010, 14030, 14035, 14155, 14160, 14180, 14185, 14380, 14385, 15560, 15561, 15565, 15571, 15585, 15586, 15590, 15596, 15710, 15711, 15715, 15721, 15735, 15736, 15740, 15746, 15935, 15936, 15940, 15946, 20231, 20233, 20238, 20241, 20256, 20258, 20263, 20266, 20381, 20383, 20388, 20391, 20406, 20408, 20413, 20416, 20606, 20608, 20613, 20616, 29575, 29600, 29725, 29750, 29950

Commentary

Same N=3625-derived 25-point exact core after coordinate swap (vertical span 13), tensored with T={0,1,6,7,15}. The no-wrap argument gives a 125-point family for every q>=1553; this fills q=1556.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:11 UTC · history

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