witness #11297

N: 36,925
|A|: 140
exponent log |A| / log N: 0.469888

status: current record for this modulus
submitted by: Bhavik Mehta
submitted at: 2026-08-31 18:56:40 UTC

Elements (140)

0, 35, 175, 210, 1056, 1059, 1091, 1094, 1231, 1234, 1266, 1269, 4222, 4223, 4257, 4258, 4397, 4398, 4432, 4433, 5280, 5305, 5315, 5340, 5455, 5480, 5490, 5515, 6336, 6339, 6361, 6364, 6371, 6374, 6396, 6399, 6511, 6514, 6536, 6539, 6546, 6549, 6571, 6574, 9502, 9503, 9527, 9528, 9537, 9538, 9562, 9563, 9677, 9678, 9702, 9703, 9712, 9713, 9737, 9738, 10565, 10570, 10600, 10605, 10740, 10745, 10775, 10780, 11621, 11624, 11626, 11629, 11656, 11659, 11661, 11664, 11796, 11799, 11801, 11804, 11831, 11834, 11836, 11839, 14787, 14788, 14792, 14793, 14822, 14823, 14827, 14828, 14962, 14963, 14967, 14968, 14997, 14998, 15002, 15003, 21110, 21125, 21145, 21160, 21285, 21300, 21320, 21335, 22166, 22169, 22181, 22184, 22201, 22204, 22216, 22219, 22341, 22344, 22356, 22359, 22376, 22379, 22391, 22394, 25332, 25333, 25347, 25348, 25367, 25368, 25382, 25383, 25507, 25508, 25522, 25523, 25542, 25543, 25557, 25558

Commentary

A = T + 35*{0,1,5,6} at N = 35*1055, where T is the lift t = beta + 1055*gamma of the parabola code {(x, x^2)} in (Z/35)^2. That code is solution-free because 35 has no prime factor congruent to +-1 mod 12, and q exceeds the separation threshold, so no repair is needed.

last edited by Bhavik Mehta at 2026-08-31 18:56:40 UTC · history