Ruzsa’s genus-one problem

witness #2324

N
5,635
|A|
48
exponent log |A| / log N
0.4482
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 19:40:32 UTC

Elements (48)

1625, 1626, 1854, 1856, 1970, 1973, 2088, 2417, 2423, 2424, 2645, 2647, 2652, 2654, 2761, 2764, 2768, 2771, 2879, 2886, 3228, 3229, 3249, 3250, 3457, 3459, 3478, 3480, 3573, 3576, 3594, 3597, 3691, 3712, 4845, 4846, 4859, 4860, 5074, 5076, 5088, 5090, 5190, 5193, 5204, 5207, 5308, 5322

Commentary

N=336-derived exact 7-adic self-lift. At q=115 a GL2(7)-optimized 49-template has five conflict supports with a common vertex; deleting that one point leaves this valid 48-set.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:32 UTC · history

Log in to add commentary.