Ruzsa’s genus-one problem

witness #2108

N
46,250
|A|
150
exponent log |A| / log N
0.4665
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 13:38:13 UTC

Elements (150)

1851, 1861, 1901, 1911, 1976, 1986, 2176, 2186, 2251, 2261, 2301, 2311, 7407, 7412, 7457, 7462, 7532, 7537, 7732, 7737, 7807, 7812, 7857, 7862, 9257, 9262, 9307, 9312, 9382, 9387, 9582, 9587, 9657, 9662, 9707, 9712, 16652, 16702, 16777, 16977, 17052, 17102, 18502, 18552, 18627, 18827, 18902, 18952, 20350, 20360, 20400, 20410, 20475, 20485, 20675, 20685, 20750, 20760, 20800, 20810, 25900, 25902, 25910, 25912, 25950, 25952, 25960, 25962, 26025, 26027, 26035, 26037, 26225, 26227, 26235, 26237, 26300, 26302, 26310, 26312, 26350, 26352, 26360, 26362, 27752, 27762, 27802, 27812, 27877, 27887, 28077, 28087, 28152, 28162, 28202, 28212, 29606, 29610, 29611, 29656, 29660, 29661, 29731, 29735, 29736, 29931, 29935, 29936, 30006, 30010, 30011, 30056, 30060, 30061, 35160, 35210, 35285, 35485, 35560, 35610, 38850, 38851, 38855, 38900, 38901, 38905, 38975, 38976, 38980, 39175, 39176, 39180, 39250, 39251, 39255, 39300, 39301, 39305, 44400, 44405, 44450, 44455, 44525, 44530, 44725, 44730, 44800, 44805, 44850, 44855

Commentary

150-point family from the N=3125 core: affine-normalize the 43-set, extract its 25-point code in (Z/25)^2, apply the GL2 coordinate change (u,v)->(u,2u+2v-3), whose vertical span is 12, then tensor with T={0,2,5,13,16,18}.

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

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