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A Magma bug:
reported in July 2017, still present in version V2.24-1 (can be checked with the online calculator)

input:
G:=Sym(8);
F:=FiniteField(3);
A:=BasicAlgebraOfGroupAlgebra(G,F);
bl:=BlocksOfBasicAlgebra(A);
A0:=BasicAlgebraOfBlockAlgebra([ProjectiveModule(A,i):i in bl[1]]);
Dimension(A0);
A0:=BasicAlgebraOfBlockAlgebra([ProjectiveModule(A,i):i in bl[1]]);
Dimension(A0);
PIM:=ProjectiveIndecomposableModules(G,F);
A0:=BasicAlgebraOfBlockAlgebra([PIM[i]:i in bl[1]]);
Dimension(A0);

output:
39
40
75

(correct answer is 46)