m=3 p=1500283 k=26: 104 cubics
all cubics smooth mod p: True
each cubic through exactly its 9 base vertices; at each vertex 78 cubics with 26 tangent lines, 3 cubics from 3 pencils per line, none a configuration line: True
all 9 intersection points of every pair found over F_p: True (14s)
  pair type cross vertex mults (1, 1, 1, 1, 1, 1) off-vertex mults (1, 1, 1) : 3168 pairs
  pair type cross vertex mults (1, 1, 1, 1, 1, 2) off-vertex mults (1, 1) : 864 pairs
  pair type cross vertex mults (1, 1, 1, 2, 2, 2) off-vertex mults () : 24 pairs
  pair type same vertex mults (1, 1, 1, 1, 1, 1, 1, 1, 1) off-vertex mults () : 1300 pairs
off-vertex intersection points: 1872  (number of cubics through it, pencils): {(4, (0, 1, 2, 3)): 1872}
quadruple points per cubic (value: number of cubics): {72: 104}
expected number of quadruple points 9k(m^2-1) = 1872
