witness #2178

N: 38,700
|A|: 123
exponent log |A| / log N: 0.4555

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 17:34:40 UTC

Elements (123)

10, 13, 25, 35, 38, 150, 160, 163, 175, 185, 188, 375, 385, 388, 3098, 3108, 3123, 3133, 3248, 3258, 3273, 3283, 3473, 3483, 7750, 7753, 7775, 7778, 7900, 7903, 7925, 7928, 8125, 8128, 10848, 10873, 10998, 11023, 11223, 13934, 13940, 13944, 13945, 13959, 13965, 13969, 13970, 14084, 14090, 14094, 14095, 14109, 14115, 14119, 14120, 14309, 14315, 14319, 14320, 15483, 15485, 15505, 15508, 15510, 15630, 15633, 15635, 15655, 15658, 15660, 15855, 15858, 15860, 18578, 18583, 18603, 18608, 18728, 18733, 18753, 18758, 18953, 18958, 21674, 21675, 21699, 21700, 21824, 21825, 21849, 21850, 22049, 22050, 23228, 23253, 23378, 23403, 23603, 29415, 29419, 29424, 29425, 29440, 29444, 29449, 29450, 29565, 29569, 29574, 29575, 29590, 29594, 29599, 29600, 29790, 29794, 29799, 29800, 30963, 30988, 31113, 31138, 31338

Commentary

From the N=3625 exact-core family with T={0,1,6,7,15}. A GL2-oriented 125-template at q=1548 has a minimum two-point defect transversal; deleting those two points gives this valid 123-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:40 UTC · history