from .base import SymmetricSpectrum, x

path_spectra = {
    3: SymmetricSpectrum(
        [(1, 2), (2, 1)]
    ),
    4: SymmetricSpectrum(
        [
            (1, 3),
            (3, 1),
            (x**2 - 3, 2),
            (x**2 - 2 * x - 1, 3),
            (x**2 + 2 * x - 1, 3),
        ]
    ),
    5: SymmetricSpectrum(
        [
            (0, 12),
            (1, 6),
            (4, 1),
            (x**2 - 5, 6),
            (x**2 + 5 * x + 5, 4),
            (x**2 + 3 * x + 1, 4),
            (x**2 + 2 * x - 1, 5),
            (x**3 + 2 * x**2 - 5 * x - 4, 5),
        ]
    ),
    6: SymmetricSpectrum(
        [
            (0, 20),
            (1, 25),
            (2, 15),
            (3, 5),
            (4, 5),
            (5, 1),
            (x**2 - 3, 20),
        ],
        not_shown_count=558,
    ),
    7: SymmetricSpectrum(
        [
            (0, 35),
            (1, 20),
            (2, 45),
            (6, 1),
        ],
        not_shown_count=4873,
    ),
    8: SymmetricSpectrum([], not_shown_count=40320),
}