p = 1002091; eps -> 457939
P^1[6] modulo p: 11 roots in F_p
cubics: 44
vertices: 33 cubics through each, 11 tangent lines, 3 cubics from 3 pencils on each: True
pairs (pencil 0, pencil 1): 6 common vertices, 3 - (shared tangents) further points, all F_p-rational: True; distinct further points: 297 (expected 297)
each of these points on exactly 4 cubics, one per pencil, with 4 distinct tangent lines: True ; number on each cubic: [27]
t   dim R_t  rank  h^1(I_Z(t)) modulo p
 44   1035   1035   186
 45   1081   1078   143
 46   1128   1119   102
 47   1176   1158    63
 48   1225   1186    35
 49   1275   1203    18
 50   1326   1218     3
 51   1378   1221     0
 52   1431   1221     0
 63   2080   1221     0
running time 17.3 s
