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Paola Comparin

Magma

Order 9 automorphisms of K3 surfaces

K<t> := FunctionField(Rationals());

E := EllipticCurve([K | 0, t^4*(t^3+1)^2]);

R<x, y> := FunctionField(E);

ER := BaseChange(E, R);

p := ER![x, y, 1];

q:= ER![0,t^2*(t^3+1),1];

3*q;

p+q;


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