witness #2296

N: 6,188
|A|: 56
exponent log |A| / log N: 0.4611

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 07:38:27 UTC

Elements (56)

0, 3, 7, 10, 35, 38, 42, 45, 175, 178, 182, 185, 210, 213, 217, 220, 884, 886, 891, 893, 919, 921, 926, 928, 1059, 1061, 1066, 1068, 1094, 1096, 1101, 1103, 2655, 2656, 2662, 2663, 2690, 2691, 2697, 2698, 2830, 2831, 2837, 2838, 2865, 2866, 2872, 2873, 5306, 5313, 5341, 5348, 5481, 5488, 5516, 5523

Commentary

Found by extracting a 7-point exact code C⊂(Z/7)^2 from the N=1267 record and tensoring it with the 8-point integer genus-one set {0,1,5,6,25,26,30,31}. A GL_2(Z/7) boundary orientation gives a full 56-point witness at q=884 (N=7q), one step below the generic no-wrap threshold q≥885.

last edited by Yongxi (Aaron) Lin at 2026-08-10 07:38:27 UTC · history