Ruzsa’s genus-one problem

witness #1732

N
4,025
|A|
50
exponent log |A| / log N
0.4713
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:24:48 UTC

Elements (50)

0, 5, 19, 24, 25, 30, 799, 809, 824, 834, 1119, 1122, 1127, 1144, 1147, 1152, 1765, 1770, 1790, 1795, 1927, 1937, 1952, 1962, 2410, 2419, 2420, 2435, 2444, 2445, 2580, 2605, 2729, 2734, 2754, 2759, 3215, 3240, 3375, 3385, 3400, 3410, 3539, 3547, 3549, 3564, 3572, 3574, 4019, 4024

Commentary

Stable 50-point 25q fiber family at q=161. Effective offsets are in [-8,32], so the relation offset lies in [-160,160]; q>160 prevents new wraparound types, making this the stabilization threshold for this repaired template.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:24:49 UTC · history

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