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K1211

too complicated to be written here. Click on the link to download a text file.

on both curves : X(3), X(5), X(13), X(14), X(15), X(16), X(17), X(18)

on K1211a :X(11543), X(18582), X(42125), X(42129), X(42912), X(42914), X(42916), X(42918), X(42920), X(42922), X(42924)

on K1211b :X(11542), X(18581), X(42128), X(42132), X(42913), X(42915), X(42917), X(42919), X(42921), X(42923), X(42925)

Geometric properties :

K1211a and K1211b are the KHO-cubics with respective KHO-equations :

x (x^2 - 3 y^2 + 2 y z - z^2) + y (x + 3 y - 3 z) (x - 3 y + 3 z) = 0

x (x^2 - 3 y^2 + 2 y z - z^2) - y (x + 3 y - 3 z) (x - 3 y + 3 z) = 0

See K1191 for explanations and also CL075.