"Source: Text/Algebra/AlgAss.text";
"Line: 1288";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgAss.text, line: 1288
// Example: H90E10 ()
print "Example: H90E10";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Rationals());
F<b> := NumberField(x^3-3*x-1);
Z_F := MaximalOrder(F);
A := QuaternionAlgebra<F | -3,b>;
O := Order([1/3*A.1, A.2], [ideal<Z_F | b^2+b+1>, ideal<Z_F | 1>]);
O;
Basis(O);
PseudoBasis(O);
PseudoMatrix(O);
ZBasis(O);
SetEchoInput(ei);
