witness #2257

N: 31,375
|A|: 125
exponent log |A| / log N: 0.4663

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 23:33:17 UTC

Elements (125)

0, 5, 508, 510, 513, 515, 753, 754, 758, 1265, 1758, 2008, 2018, 2510, 2520, 3013, 3015, 3023, 3264, 3274, 4524, 4528, 4529, 5525, 5535, 12575, 12580, 12600, 12605, 13083, 13085, 13088, 13090, 13108, 13110, 13113, 13115, 13328, 13329, 13333, 13353, 13354, 13358, 13840, 13865, 14333, 14358, 14583, 14593, 14608, 14618, 15085, 15095, 15110, 15120, 15588, 15590, 15598, 15613, 15615, 15623, 15839, 15849, 15864, 15874, 17099, 17103, 17104, 17124, 17128, 17129, 18100, 18110, 18125, 18135, 18825, 18830, 18875, 18880, 19333, 19335, 19338, 19340, 19383, 19385, 19388, 19390, 19578, 19579, 19583, 19628, 19629, 19633, 20090, 20140, 20583, 20633, 20833, 20843, 20883, 20893, 21335, 21345, 21385, 21395, 21838, 21840, 21848, 21888, 21890, 21898, 22089, 22099, 22139, 22149, 23349, 23353, 23354, 23399, 23403, 23404, 24350, 24360, 24400, 24410

Commentary

Extracted the 25-point exact core hidden in the dense N=3750 record (24 exact +25 pairs plus one singleton), then used the core's optimal span-13 coordinate as the low vertical digit and fiber-lifted by the exact five-point code H={(0,0),(2,1),(2,2),(3,0),(3,2)} over Z/5. A horizontal shear h=v+3u eliminates all wraparound defects at q=251, yielding a full 125-point exact witness modulo 125*251=31375. This improves the previous size 121 record.

last edited by Yongxi (Aaron) Lin at 2026-08-09 23:33:17 UTC · history