witness #1786

N: 18,025
|A|: 100
exponent log |A| / log N: 0.4699

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 17:41:06 UTC

Elements (100)

0, 8, 10, 13, 25, 33, 35, 38, 125, 133, 135, 138, 150, 158, 160, 163, 719, 725, 729, 740, 744, 750, 754, 765, 844, 850, 854, 865, 869, 875, 879, 890, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3605, 3618, 3630, 3643, 3730, 3743, 3755, 3768, 4335, 4354, 4355, 4360, 4379, 4380, 4460, 4479, 4480, 4485, 4504, 4505, 5778, 5803, 5903, 5928, 7208, 7218, 7220, 7233, 7240, 7243, 7245, 7265, 7333, 7343, 7345, 7358, 7365, 7368, 7370, 7390, 7944, 7949, 7969, 7974, 8069, 8074, 8094, 8099, 9383, 9403, 9408, 9428, 9508, 9528, 9533, 9553, 11545, 11570, 11670, 11695

Commentary

Block-code search derived from the 18125=29*25^2 witness. Searched by deleting whole 4-point blocks and refilling with movable anchors and the library of 4-point mod-29 cores. The resulting 100-point witness simplifies completely: it is 25 translates of the single core 25*{0,1,5,6}. This extends the 100-point deformation ladder to N=18025.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:41:06 UTC · history