DeRhamComputation/as_covers/group_action_matrices.sage

def as_group_action_matrices(F, space, list_of_group_elements, basis, info = 0):
    n = len(list_of_group_elements)
    d = len(space)
    A = [matrix(F, d, d) for i in range(n)]
    for i, g in enumerate(list_of_group_elements):
        if info:
            print("Matrix for group elt", g)
        for j, omega in enumerate(space):
            if info:
                print("coordinates of element " + str(j+1)+" out of " + str(len(space)))
            omega1 = omega.group_action(g)
            v1 = omega1.coordinates(basis = basis)
            A[i][:, j] = vector(v1)
    return A