I want to translate the following code from magma to SAGE KK<ep> := CyclotomicField(21); ze := ep^3; RR<x,y,z> := PolynomialRing(KK,3); PP := Proj(RR); F := z*x^3+x*y^3+y*z^3; H := 1/2*Determinant(1/3*Matrix(3,3, [Derivative(Derivative(F,RR.i),RR.j) : i in [1..3], j in [1..3]])); Flex := Points(Scheme(PP,[F,H])); #Flex; Flex; so far i have got K<ep> = CyclotomicField(21); ze = ep^3; R.<x,y,z> = PolynomialRing(K,3); P = ProjectiveSpace(R); f = z*x^3+x*y^3+y*z^3; H = f.diff(2) Flex = Points(Scheme(P,[f,H])); print Flex
its mainly the 3rd and 2nd to last lines im not so sure on (3rd from bottom line should produce a 3*3 hessian matrix and the 2nd from bottom should produce the flex points of the klein quartic curve) combining this with the 3 and 7 symmetries should give a group of size 168 -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
