"Source: Text/Algebra/AlgQuat.text";
"Line: 1954";
"Date: Wed Sep  4 15:52:10 2019";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Algebra/AlgQuat.text, line: 1954
// Example: H93E16 ()
print "Example: H93E16";
ei := GetEchoInput();
SetEchoInput(true);
S := QuaternionOrder(2*5*11);
P := PrimeIdeal(S, 2);
I := ideal< S | [2] cat [ x*y-y*x : x, y in Basis(S) ] >;
P eq I;
assert $1;
Q := PrimeIdeal(S, 5);
R := PrimeIdeal(S, 11);
P*Q*R eq CommutatorIdeal(S);
assert $1;
SetEchoInput(ei);
