ContainedPossibleCharacters( tbl, chars, parachar )
returns the list of all elements vec of the parametrized character parachar (see More about Maps and Parametrized Maps), which have integral norm and integral scalar product with the principal character of the character table tbl and nonnegative integral scalar product with all elements of the list chars of characters of tbl.
# see example in "ContainedSpecialVectors"
gap> ContainedPossibleCharacters( s, s.irreducibles, rest );
[ [ 231, 7, -9, -9, 6, 15, 15, -1, -1, 1, 6, 6, 1, 1, -2, 1, 2, 2, 0,
0, 1, 0, 0, 0, 0 ],
[ 231, 7, -9, 7, 6, 15, 15, -1, -1, 1, 6, 6, 1, 1, -2, 1, 2, 2, 0,
0, 1, 0, 0, 0, 0 ] ]
ContainedPossibleCharacters calls ContainedSpecialVectors
ContainedSpecialVectors.
ContainedPossibleCharacters successively examines all vectors contained
in parachar, thus it might not be useful if the indeterminateness
exceeds 10^6. For another strategy that works for rational characters
only, see ContainedDecomposables.
GAP 3.4.4