Ruzsa’s genus-one problem

witness #2177

N
38,800
|A|
124
exponent log |A| / log N
0.4562
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 17:34:32 UTC

Elements (124)

0, 1, 6, 10, 25, 26, 31, 35, 150, 151, 156, 160, 175, 176, 181, 185, 375, 376, 381, 385, 1563, 1588, 1713, 1738, 1938, 3107, 3109, 3114, 3117, 3132, 3134, 3139, 3142, 3257, 3259, 3264, 3267, 3282, 3284, 3289, 3292, 3482, 3484, 3489, 3492, 10864, 10877, 10889, 10902, 11014, 11027, 11039, 11052, 11239, 17073, 17078, 17098, 17103, 17223, 17228, 17248, 17253, 17448, 17453, 18624, 18627, 18632, 18634, 18649, 18652, 18657, 18659, 18774, 18777, 18782, 18784, 18799, 18802, 18807, 18809, 18999, 19002, 19007, 19009, 23280, 23281, 23285, 23291, 23305, 23306, 23310, 23316, 23430, 23431, 23435, 23441, 23455, 23456, 23460, 23466, 23655, 23656, 23660, 23666, 24833, 24843, 24858, 24868, 24983, 24993, 25008, 25018, 25208, 25218, 31050, 31051, 31075, 31076, 31200, 31201, 31225, 31226, 31425, 31426

Commentary

Boundary-compressed member of the N=3625-derived 25-point core family. With vertical span 13 and T={0,1,6,7,15}, choose horizontal coordinate 4v at q=1552. The full 125-template has a single defect support; deleting one point gives this valid 124-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:32 UTC · history

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