"Source: Text/Algebra/AlgAss.text";
"Line: 1007";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgAss.text, line: 1007
// Example: H90E8 ()
print "Example: H90E8";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Rationals());
F<b> := NumberField(x^3-3*x-1);
Z_F := MaximalOrder(F);
A<alpha,beta,alphabeta> := QuaternionAlgebra<F | -3,b>;
AA := AssociativeAlgebra(A);
MAA := MaximalOrder(AA);
MAA;
Discriminant(MAA);
P<x> := PolynomialRing(QuadraticField(23));
F<b> := NumberField(x^3-3*x-1);
Z_F := MaximalOrder(F);
A<alpha,beta,alphabeta> := QuaternionAlgebra<F | -3,b>;
AA := AssociativeAlgebra(A);
MAA := MaximalOrder(AA);
Discriminant(MAA);
SetEchoInput(ei);
