witness #2205

N: 39,050
|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 20:32:16 UTC

Elements (125)

0, 5, 12, 25, 30, 37, 150, 155, 162, 175, 180, 187, 375, 380, 387, 6251, 6252, 6257, 6261, 6276, 6277, 6282, 6286, 6401, 6402, 6407, 6411, 6426, 6427, 6432, 6436, 6626, 6627, 6632, 6636, 7810, 7812, 7820, 7822, 7835, 7837, 7845, 7847, 7960, 7962, 7970, 7972, 7985, 7987, 7995, 7997, 8185, 8187, 8195, 8197, 10945, 10970, 11095, 11120, 11320, 23440, 23465, 23590, 23615, 23815, 26555, 26560, 26580, 26585, 26705, 26710, 26730, 26735, 26930, 26935, 29681, 29682, 29686, 29692, 29706, 29707, 29711, 29717, 29831, 29832, 29836, 29842, 29856, 29857, 29861, 29867, 30056, 30057, 30061, 30067, 31242, 31247, 31267, 31272, 31392, 31397, 31417, 31422, 31617, 31622, 34365, 34375, 34390, 34400, 34515, 34525, 34540, 34550, 34740, 34750, 37501, 37502, 37526, 37527, 37651, 37652, 37676, 37677, 37876, 37877

Commentary

From the N=3875 high-density seed. Normalize its exact +150 pairing by multiplying by 6^{-1}, extract the 25-point exact core in (Z/25)^2, rotate coordinates so the vertical span is 14, then tensor with the integer genus-one witness {0,1,6,7,15}. This gives a 125-point stable family for q>=1557; here q=1562.

last edited by Yongxi (Aaron) Lin at 2026-08-09 20:32:16 UTC · history