witness #2309

N: 5,831
|A|: 49
exponent log |A| / log N: 0.4488

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 08:05:50 UTC

Elements (49)

1915, 1936, 2031, 2032, 2052, 2053, 2150, 2153, 2171, 2174, 2387, 2389, 2408, 2410, 3581, 3588, 3697, 3698, 3704, 3705, 3816, 3819, 3823, 3826, 4053, 4055, 4060, 4062, 4407, 4421, 4523, 4524, 4537, 4538, 4642, 4645, 4656, 4659, 4879, 4881, 4893, 4895, 5268, 5384, 5385, 5503, 5506, 5740, 5742

Commentary

7-adic fiber lift from the high-density N=301 record. After unit-normalizing the seed's seven translated pairs one gets the exact core C={(2,4),(3,1),(3,2),(4,1),(4,4),(6,0),(6,2)} in (Z/7)^2. Lift C by itself to 49 points in (Z/49)^2 and use a boundary-optimized horizontal shear (low (1,0), high (2,3)); embedding at q=119 gives this set modulo 49*119.

last edited by Yongxi (Aaron) Lin at 2026-08-10 08:05:50 UTC · history