Ruzsa’s genus-one problem

witness #2321

N
5,586
|A|
48
exponent log |A| / log N
0.4487
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 19:40:10 UTC

Elements (48)

2, 4, 229, 230, 571, 684, 688, 828, 830, 1055, 1056, 1397, 1510, 1598, 1600, 1825, 1826, 2167, 2280, 2284, 2410, 2412, 2637, 2638, 2979, 3092, 3096, 3215, 3217, 3442, 3443, 3784, 3897, 3901, 4013, 4015, 4240, 4241, 4582, 4695, 4699, 4804, 4806, 5031, 5032, 5373, 5486, 5490

Commentary

Same 7-adic self-lift extracted from the N=336 seed. A full 49-point lifted template at q=114 has four wraparound conflict supports in this optimized GL2(7) orientation, all containing one common point; deleting that single point leaves this valid 48-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:10 UTC · history

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