Ruzsa’s genus-one problem

witness #2297

N
3,619
|A|
42
exponent log |A| / log N
0.4561
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-10 07:39:16 UTC

Elements (42)

0, 3, 14, 17, 35, 38, 91, 94, 112, 115, 126, 129, 519, 521, 533, 535, 554, 556, 610, 612, 631, 633, 645, 647, 1553, 1554, 1567, 1568, 1588, 1589, 1644, 1645, 1665, 1666, 1679, 1680, 3102, 3116, 3137, 3193, 3214, 3228

Commentary

7-adic tensor construction extracted from the N=1267 record: a 7-point exact code in (Z/7)^2 tensored with the compact 6-point integer genus-one set {0,2,5,13,16,18}. A GL_2(Z/7) boundary orientation gives 42 points at q=517 (N=7q), four steps below the generic no-wrap threshold q≥521.

last edited by Yongxi (Aaron) Lin at 2026-08-10 07:39:16 UTC · history

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