"Source: Text/Algebra/AlgBas.text";
"Line: 437";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgBas.text, line: 437
// Example: H94E2 ()
print "Example: H94E2";
ei := GetEchoInput();
SetEchoInput(true);
A := BasicAlgebraOfSchurAlgebra(3,6,GF(2));
A;
B := BasicAlgebraOfExtAlgebra(A,10);
B;
SumOfBettiNumbersOfSimpleModules(B,5);
assert $1 eq 600;
SumOfBettiNumbersOfSimpleModules(B,6);
assert $1 eq 1334;
SumOfBettiNumbersOfSimpleModules(B,7);
assert $1 eq 3008;
CompactProjectiveResolution(SimpleModule(B,4),10)`BettiNumbers;
A := BasicAlgebraOfSchurAlgebra(3,6,GF(3));
A;
B := BasicAlgebraOfExtAlgebra(A,10);
B;
SumOfBettiNumbersOfSimpleModules(B,5);
assert $1 eq 48;
SumOfBettiNumbersOfSimpleModules(B,6);
assert $1 eq 48;
C := BasicAlgebraOfExtAlgebra(B,10);
C;
D := BasicAlgebraOfExtAlgebra(C,10);
D;
SetEchoInput(ei);
