"Source: Text/Geometry/ModFrmAlg.text";
"Line: 1311";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/ModFrmAlg.text, line: 1311
// Example: H151E5 ()
print "Example: H151E5";
ei := GetEchoInput();
SetEchoInput(true);
L:= TernaryQuadraticLattices(121)[1][1];
M := OrthogonalModularForms(L);
fs := HeckeEigenforms(M);
f := fs[2];
theta<q> := Theta1(f : Precision := 25^2);
theta + O(q^25);
qExpansion(&+Basis(CuspForms(44,3/2)),25);
assert $1 eq $2;
ShimuraLift(theta, 2, 11);
f11 := qExpansion(Basis(CuspForms(11,2))[1],25);
f11 - Evaluate(f11, q^11);
assert $1 eq $2;
SetEchoInput(ei);
