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KASH3 Reference Manual
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Function

ResidueClassDegree ( elt-ids^int/ord^fun I ) -> elt-ord^rat

Description

The residue class degree of the prime ideal I over the corresponding prime of its coefficient ring.

Examples

x_gf3:=FiniteField(3); x_gf3x:=PolynomialAlgebra(x_gf3); x_gf3xy:=PolynomialAlgebra(x_gf3x); x_f:=x_gf3xy.1^2+1; x_F:=FunctionField(x_f); x_O:=MaximalOrderFinite(x_F); x_I:=x_gf3x.1*x_O; ResidueClassDegree(x_I);
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