Ruzsa’s genus-one problem

witness #2001

N
20,250
|A|
100
exponent log |A| / log N
0.4644
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 11:33:24 UTC

Elements (100)

0, 5, 25, 30, 125, 130, 150, 155, 810, 833, 835, 858, 935, 958, 960, 983, 2433, 2448, 2458, 2473, 2558, 2573, 2583, 2598, 4050, 4065, 4069, 4074, 4075, 4090, 4094, 4099, 4175, 4190, 4194, 4199, 4200, 4215, 4219, 4224, 4865, 4873, 4890, 4898, 4990, 4998, 5015, 5023, 8104, 8129, 8229, 8254, 8925, 8933, 8950, 8958, 9050, 9058, 9075, 9083, 12154, 12155, 12169, 12179, 12180, 12194, 12279, 12280, 12294, 12304, 12305, 12319, 12963, 12965, 12988, 12990, 13088, 13090, 13113, 13115, 14598, 14603, 14623, 14628, 14723, 14728, 14748, 14753, 17010, 17013, 17035, 17038, 17135, 17138, 17160, 17163, 18633, 18658, 18758, 18783

Commentary

Same 100-point family extracted from the N=3025 seed: affine-normalize by x↦91x, take the 25-point core C in (Z/25)^2, and tensor the vertical coordinate by {0,1,5,6}. Valid for all q>=697; here q=810.

last edited by Yongxi (Aaron) Lin at 2026-08-09 11:33:24 UTC · history

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