sints_in = (((1, 1, 1, -1, 2, 1), (0, 0, 0), (1, 1, 1)), ((2, 1, 1, -1, 1, 1), (0, 0, 0), (1, 1, 1)), ((1, 1, 2, -1, 1, 1), (0, 0, 0), (1, 1, 1)))

coeffs_in = [c9, c10, c11]

priority = (((1, 1, 0, 0, 2, 1), (0, 0, 0), (1, 1, 1)), 
            ((1, 2, 0, 0, 1, 1), (0, 0, 0), (1, 1, 1)), 
            ((1, 1, 0, 0, 2, 1), (0, 0, 0), (1, 1, 0)), 
            ((1, 1, 1, 1, 1, 0), (0, 0, 0), (0, 0, 1)),
            ((1, 1, 1, 1, 1, 0), (0, 0, 0), (0, 1, 1)),
            ((1, 1, 1, 1, 1, 0), (0, 0, 0), (1, 1, 1)))