witness #2312

N: 5,978
|A|: 49
exponent log |A| / log N: 0.4475

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-10 08:06:43 UTC

Elements (49)

30, 395, 398, 638, 639, 762, 764, 870, 1235, 1238, 1478, 1479, 1602, 1604, 1717, 2082, 2085, 2325, 2326, 2449, 2451, 2571, 2936, 2939, 3179, 3180, 3303, 3305, 3432, 3797, 3800, 4040, 4041, 4164, 4166, 4300, 4665, 4668, 4908, 4909, 5032, 5034, 5126, 5491, 5494, 5734, 5735, 5858, 5860

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 (2,4), high (1,6), then embed at q=122.

last edited by Yongxi (Aaron) Lin at 2026-08-10 08:06:43 UTC · history