Ruzsa’s genus-one problem

witness #2188

N
32,625
|A|
125
exponent log |A| / log N
0.4646
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 18:31:17 UTC

Elements (125)

0, 15, 525, 535, 783, 786, 796, 798, 1310, 1831, 1835, 1836, 1840, 2610, 2615, 3146, 3396, 4440, 4441, 4451, 4698, 4703, 6008, 6011, 6016, 13075, 13090, 13100, 13115, 13600, 13610, 13625, 13635, 13858, 13861, 13871, 13873, 13883, 13886, 13896, 13898, 14385, 14410, 14906, 14910, 14911, 14915, 14931, 14935, 14936, 14940, 15685, 15690, 15710, 15715, 16221, 16246, 16471, 16496, 17515, 17516, 17526, 17540, 17541, 17551, 17773, 17778, 17798, 17803, 19083, 19086, 19091, 19108, 19111, 19116, 19575, 19590, 19625, 19640, 20100, 20110, 20150, 20160, 20358, 20361, 20371, 20373, 20408, 20411, 20421, 20423, 20885, 20935, 21406, 21410, 21411, 21415, 21456, 21460, 21461, 21465, 22185, 22190, 22235, 22240, 22721, 22771, 22971, 23021, 24015, 24016, 24026, 24065, 24066, 24076, 24273, 24278, 24323, 24328, 25583, 25586, 25591, 25633, 25636, 25641

Commentary

125-point 5-adic fiber-lift construction extracted from the N=3475 seed. A 25-point exact core over (Z/25)^2 is lifted fiberwise by a 5-point exact core over (Z/5)^2 to an exact 125-point core over (Z/125)^2 with vertical width 65; q=261 is the first no-wrap parameter.

last edited by Yongxi (Aaron) Lin at 2026-08-09 18:31:17 UTC · history

Log in to add commentary.