witness #2320

N: 5,782
|A|: 49
exponent log |A| / log N: 0.4493

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 19:40:01 UTC

Elements (49)

4, 120, 238, 358, 473, 590, 709, 858, 974, 1092, 1212, 1327, 1444, 1563, 1656, 1772, 1890, 2010, 2125, 2242, 2361, 2496, 2612, 2730, 2850, 2965, 3082, 3201, 3329, 3445, 3563, 3683, 3798, 3915, 4034, 4155, 4271, 4389, 4509, 4624, 4741, 4860, 4974, 5090, 5208, 5328, 5443, 5560, 5679

Commentary

Extracted from the N=336 high-density record. After multiplying by 29 and translating, the seed splits into seven +7 pairs over the exact core C={(0,2),(0,4),(1,1),(1,4),(2,2),(5,0),(5,1)} in (Z/7)^2. Self-lift C to an exact 49-point code in (Z/49)^2 and optimize independent GL2(7) coordinate systems for the two base-7 digits; this orientation is wrap-free at q=118, N=49q.

last edited by Yongxi (Aaron) Lin at 2026-08-10 19:40:01 UTC · history