witness #2127

N: 46,125
|A|: 147
exponent log |A| / log N: 0.4647

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 14:36:14 UTC

Elements (147)

0, 5, 44, 49, 50, 55, 119, 124, 125, 130, 319, 324, 325, 330, 394, 399, 400, 405, 444, 449, 450, 455, 9219, 9229, 9269, 9279, 9344, 9354, 9544, 9554, 9619, 9629, 9669, 9679, 12910, 12915, 12957, 12960, 12965, 13032, 13035, 13040, 13232, 13235, 13240, 13307, 13310, 13315, 13357, 13360, 13365, 20289, 20294, 20339, 20344, 20414, 20419, 20614, 20619, 20689, 20694, 20739, 20744, 22135, 22145, 22185, 22195, 22260, 22270, 22460, 22470, 22535, 22545, 22585, 22595, 27670, 27679, 27680, 27720, 27729, 27730, 27795, 27804, 27805, 27995, 28004, 28005, 28070, 28079, 28080, 28120, 28129, 28130, 29524, 29574, 29649, 29849, 29924, 29974, 31362, 31407, 31412, 31482, 31487, 31682, 31687, 31757, 31762, 31807, 31812, 36895, 36945, 37020, 37220, 37295, 37345, 38739, 38749, 38789, 38799, 38864, 38874, 39064, 39074, 39139, 39149, 39189, 39199, 40587, 40595, 40597, 40637, 40645, 40647, 40712, 40720, 40722, 40912, 40920, 40922, 40987, 40995, 40997, 41037, 41045, 46119, 46124

Commentary

Pattern search from the N=3925 record. Normalize it as a 25-point exact core C in (Z/25)^2, tensor with T={0,2,5,13,16,18}, then delete the exact 3-point defect hitting set at q=1845. Improves previous size 146 to 147.

last edited by Yongxi (Aaron) Lin at 2026-08-09 14:36:14 UTC · history