witness #2173

N: 38,775
|A|: 125
exponent log |A| / log N: 0.4570

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 17:33:54 UTC

Elements (125)

0, 1, 6, 10, 25, 26, 31, 35, 150, 151, 156, 160, 175, 176, 181, 185, 375, 376, 381, 385, 1562, 1587, 1712, 1737, 1937, 3105, 3107, 3112, 3115, 3130, 3132, 3137, 3140, 3255, 3257, 3262, 3265, 3280, 3282, 3287, 3290, 3480, 3482, 3487, 3490, 10857, 10870, 10882, 10895, 11007, 11020, 11032, 11045, 11232, 11245, 17062, 17067, 17087, 17092, 17212, 17217, 17237, 17242, 17437, 17442, 18612, 18615, 18620, 18622, 18637, 18640, 18645, 18647, 18762, 18765, 18770, 18772, 18787, 18790, 18795, 18797, 18987, 18990, 18995, 18997, 23265, 23266, 23270, 23276, 23290, 23291, 23295, 23301, 23415, 23416, 23420, 23426, 23440, 23441, 23445, 23451, 23640, 23641, 23645, 23651, 24817, 24827, 24842, 24852, 24967, 24977, 24992, 25002, 25192, 25202, 31030, 31031, 31055, 31056, 31180, 31181, 31205, 31206, 31405, 31406

Commentary

Extracted from the N=3625 size-49 seed: its 24 exact +25 pairs plus singleton form a 25-point exact code C in (Z/25)^2. Swapping coordinates gives vertical span 13. Tensor C with the integer genus-one set T={0,1,6,7,15}; then choose horizontal coordinate 4v. This exceptional boundary orientation is already a full 125-point witness at q=1551.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:33:54 UTC · history