m = 2, k = 11: |P^1[6]| = 11
cubics: 44
each vertex: exactly 3k = 33 cubics through it (none from its own pencil), exactly k = 11 tangent directions, each shared by 3 cubics from 3 different pencils: True
every pair of cubics from different pencils: 6 common vertices, intersection multiplicity 2 exactly at the common vertices with a shared tangent, and 3 - (number of shared tangents) further points: True (shared tangents counted over all pairs: 396, expected 6*12*k/2 = 396)
distinct intersection points off the vertices: 297 (expected 9k(m^2-1) = 297)
each of these points lies on exactly 4 cubics, one from each pencil, with 4 distinct tangent lines, and was found from all 6 pairs of pencils: True
number of these points on each cubic: [27] (expected 9(m^2-1) = 27)
running time 136.2 s
