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gap command, g1:=Group((2, 3)(4, 5)); g2:=Group((1, 5)(3, 4)); cg:=AllHomomorphisms(g1,g2);

i see that sage seems need to define GF or other things, what is the sage command of above gap command

i am finding an input for this function K.<x> = FunctionField(cg[3]);

gap command, command,

g1:=Group((2, 3)(4, 5));
g2:=Group((1, 5)(3, 4));
cg:=AllHomomorphisms(g1,g2);
cg:=AllHomomorphisms(g1,g2);

i see that sage seems need to define GF or other things, what is the sage command of above gap command

i am finding an input for this function function

K.<x> = FunctionField(cg[3]);
FunctionField(cg[3]);