Ruzsa’s genus-one problem

witness #2323

N
5,684
|A|
48
exponent log |A| / log N
0.4478
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 19:40:24 UTC

Elements (48)

9, 355, 357, 587, 590, 706, 707, 828, 1174, 1176, 1406, 1409, 1525, 1526, 1654, 2000, 2002, 2232, 2235, 2351, 2352, 2784, 2786, 3016, 3019, 3135, 3136, 3278, 3624, 3626, 3856, 3859, 3975, 3976, 4076, 4422, 4424, 4654, 4657, 4773, 4774, 4881, 5227, 5229, 5459, 5462, 5578, 5579

Commentary

N=336-derived exact 7-adic 49-template. At q=116 the best searched GL2(7) orientation has two ordered conflicts supported on the same two points; deleting one endpoint gives this valid 48-set.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:24 UTC · history

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