Ruzsa’s genus-one problem

witness #2310

N
5,880
|A|
49
exponent log |A| / log N
0.4484
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 08:06:09 UTC

Elements (49)

29, 32, 270, 272, 630, 748, 749, 855, 858, 1096, 1098, 1456, 1574, 1575, 1688, 1691, 1929, 1931, 2289, 2407, 2408, 2528, 2531, 2769, 2771, 3129, 3247, 3248, 3375, 3378, 3616, 3618, 3976, 4094, 4095, 4229, 4232, 4470, 4472, 4830, 4948, 4949, 5041, 5044, 5282, 5284, 5642, 5760, 5761

Commentary

49-point 7-adic self-lift extracted from the N=301 record. Low exact core C={(2,4),(3,1),(3,2),(4,1),(4,4),(6,0),(6,2)}; lift C by itself in (Z/49)^2 and use boundary shear parameters low (1,3), high (1,6), then embed at q=120.

last edited by Yongxi (Aaron) Lin at 2026-08-10 08:06:09 UTC · history

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