"Source: Text/Algebra/AlgQuat.text";
"Line: 275";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgQuat.text, line: 275
// Example: H95E3 ()
print "Example: H95E3";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Rationals());
F<b> := NumberField(x^3-3*x-1);
Foo := InfinitePlaces(F);
Z_F := MaximalOrder(F);
I := ideal<Z_F | 6>;
A := QuaternionAlgebra(I);
FactoredDiscriminant(A);
A := QuaternionAlgebra(ideal<Z_F | 1>, Foo[1..2]);
FactoredDiscriminant(A);
SetEchoInput(ei);
