Ruzsa’s genus-one problem

witness #2110

N
46,300
|A|
150
exponent log |A| / log N
0.4664
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 13:38:34 UTC

Elements (150)

1853, 1863, 1903, 1913, 1978, 1988, 2178, 2188, 2253, 2263, 2303, 2313, 7415, 7420, 7465, 7470, 7540, 7545, 7740, 7745, 7815, 7820, 7865, 7870, 9267, 9272, 9317, 9322, 9392, 9397, 9592, 9597, 9667, 9672, 9717, 9722, 16670, 16720, 16795, 16995, 17070, 17120, 18522, 18572, 18647, 18847, 18922, 18972, 20372, 20382, 20422, 20432, 20497, 20507, 20697, 20707, 20772, 20782, 20822, 20832, 25928, 25930, 25938, 25940, 25978, 25980, 25988, 25990, 26053, 26055, 26063, 26065, 26253, 26255, 26263, 26265, 26328, 26330, 26338, 26340, 26378, 26380, 26388, 26390, 27782, 27792, 27832, 27842, 27907, 27917, 28107, 28117, 28182, 28192, 28232, 28242, 29638, 29642, 29643, 29688, 29692, 29693, 29763, 29767, 29768, 29963, 29967, 29968, 30038, 30042, 30043, 30088, 30092, 30093, 35198, 35248, 35323, 35523, 35598, 35648, 38892, 38893, 38897, 38942, 38943, 38947, 39017, 39018, 39022, 39217, 39218, 39222, 39292, 39293, 39297, 39342, 39343, 39347, 44448, 44453, 44498, 44503, 44573, 44578, 44773, 44778, 44848, 44853, 44898, 44903

Commentary

150-point family from the N=3125 core after a GL2 coordinate rotation gives vertical core width 12, then tensor with T={0,2,5,13,16,18}.

last edited by Yongxi (Aaron) Lin at 2026-08-09 13:38:34 UTC · history

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