Examples: we can get the character table by reading the coefficients
of monomials in the p-basis

> Schur_in_p([5]);

The first row of the character table the coefficient of p_la in this expression *z_la running over all possible partitions la

> [120/120,12/12,8/8,6/6,6/6,4/4,5/5];

> Schur_in_p([1,1,1,1,1]);

The last row of the character table will be the coefficient of p_la*z_la running over all possible partitions la

> [1,-1,1,1,-1,-1,1];

> Schur_in_p([3,1,1]);

> [120/20,0,-8/4,0,0,0,5/5];

> combinat[character](5);

>