const multiples_of_coefficients = (

# 1-10
    (  0,  0,  0,  0,  1),
    (  0,  0,  0,  0,  2),
    ( -2,  0,  2,  0,  1),
    (  2,  0, -2,  0,  0),
    ( -2,  0,  2,  0,  2),
    (  1, -1,  0, -1,  0),
    (  0, -2,  2, -2,  1),
    (  2,  0, -2,  0,  1),
    (  0,  0,  2, -2,  2),
    (  0,  1,  0,  0,  0),

    # 11-20
    (  0,  1,  2, -2,  2),
    (  0, -1,  2, -2,  2),
    (  0,  0,  2, -2,  1),
    (  2,  0,  0, -2,  0),
    (  0,  0,  2, -2,  0),
    (  0,  2,  0,  0,  0),
    (  0,  1,  0,  0,  1),
    (  0,  2,  2, -2,  2),
    (  0, -1,  0,  0,  1),
    ( -2,  0,  0,  2,  1),

    # 21-30
    (  0, -1,  2, -2,  1),
    (  2,  0,  0, -2,  1),
    (  0,  1,  2, -2,  1),
    (  1,  0,  0, -1,  0),
    (  2,  1,  0, -2,  0),
    (  0,  0, -2,  2,  1),
    (  0,  1, -2,  2,  0),
    (  0,  1,  0,  0,  2),
    ( -1,  0,  0,  1,  1),
    (  0,  1,  2, -2,  0),

    # 31-40
    (  0,  0,  2,  0,  2),
    (  1,  0,  0,  0,  0),
    (  0,  0,  2,  0,  1),
    (  1,  0,  2,  0,  2),
    (  1,  0,  0, -2,  0),
    ( -1,  0,  2,  0,  2),
    (  0,  0,  0,  2,  0),
    (  1,  0,  0,  0,  1),
    ( -1,  0,  0,  0,  1),
    ( -1,  0,  2,  2,  2),

    # 41-50
    (  1,  0,  2,  0,  1),
    (  0,  0,  2,  2,  2),
    (  2,  0,  0,  0,  0),
    (  1,  0,  2, -2,  2),
    (  2,  0,  2,  0,  2),
    (  0,  0,  2,  0,  0),
    ( -1,  0,  2,  0,  1),
    ( -1,  0,  0,  2,  1),
    (  1,  0,  0, -2,  1),
    ( -1,  0,  2,  2,  1),

    # 51-60
    (  1,  1,  0, -2,  0),
    (  0,  1,  2,  0,  2),
    (  0, -1,  2,  0,  2),
    (  1,  0,  2,  2,  2),
    (  1,  0,  0,  2,  0),
    (  2,  0,  2, -2,  2),
    (  0,  0,  0,  2,  1),
    (  0,  0,  2,  2,  1),
    (  1,  0,  2, -2,  1),
    (  0,  0,  0, -2,  1),

    # 61-70
    (  1, -1,  0,  0,  0),
    (  2,  0,  2,  0,  1),
    (  0,  1,  0, -2,  0),
    (  1,  0, -2,  0,  0),
    (  0,  0,  0,  1,  0),
    (  1,  1,  0,  0,  0),
    (  1,  0,  2,  0,  0),
    (  1, -1,  2,  0,  2),
    ( -1, -1,  2,  2,  2),
    ( -2,  0,  0,  0,  1),

    # 71-80
    (  3,  0,  2,  0,  2),
    (  0, -1,  2,  2,  2),
    (  1,  1,  2,  0,  2),
    ( -1,  0,  2, -2,  1),
    (  2,  0,  0,  0,  1),
    (  1,  0,  0,  0,  2),
    (  3,  0,  0,  0,  0),
    (  0,  0,  2,  1,  2),
    ( -1,  0,  0,  0,  2),
    (  1,  0,  0, -4,  0),

    # 81-90
    ( -2,  0,  2,  2,  2),
    ( -1,  0,  2,  4,  2),
    (  2,  0,  0, -4,  0),
    (  1,  1,  2, -2,  2),
    (  1,  0,  2,  2,  1),
    ( -2,  0,  2,  4,  2),
    ( -1,  0,  4,  0,  2),
    (  1, -1,  0, -2,  0),
    (  2,  0,  2, -2,  1),
    (  2,  0,  2,  2,  2),

    # 91-100
    (  1,  0,  0,  2,  1),
    (  0,  0,  4, -2,  2),
    (  3,  0,  2, -2,  2),
    (  1,  0,  2, -2,  0),
    (  0,  1,  2,  0,  1),
    ( -1, -1,  0,  2,  1),
    (  0,  0, -2,  0,  1),
    (  0,  0,  2, -1,  2),
    (  0,  1,  0,  2,  0),
    (  1,  0, -2, -2,  0),

    # 101-106
    (  0, -1,  2,  0,  1),
    (  1,  1,  0, -2,  1),
    (  1,  0, -2,  2,  0),
    (  2,  0,  0,  2,  0),
    (  0,  0,  2,  4,  2),
    (  0,  1,  0,  1,  0)
    )

const multiples_of_arguments = (

    (-171996.0, -174.2,  92025.0,    8.9 ),
    (   2062.0,    0.2,   -895.0,    0.5 ),
    (     46.0,    0.0,    -24.0,    0.0 ),
    (     11.0,    0.0,      0.0,    0.0 ),
    (     -3.0,    0.0,      1.0,    0.0 ),
    (     -3.0,    0.0,      0.0,    0.0 ),
    (     -2.0,    0.0,      1.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    ( -13187.0,   -1.6,   5736.0,   -3.1 ),
    (   1426.0,   -3.4,     54.0,   -0.1 ),
    (   -517.0,    1.2,    224.0,   -0.6 ),
    (    217.0,   -0.5,    -95.0,    0.3 ),
    (    129.0,    0.1,    -70.0,    0.0 ),
    (     48.0,    0.0,      1.0,    0.0 ),
    (    -22.0,    0.0,      0.0,    0.0 ),
    (     17.0,   -0.1,      0.0,    0.0 ),
    (    -15.0,    0.0,      9.0,    0.0 ),
    (    -16.0,    0.1,      7.0,    0.0 ),
    (    -12.0,    0.0,      6.0,    0.0 ),
    (     -6.0,    0.0,      3.0,    0.0 ),
    (     -5.0,    0.0,      3.0,    0.0 ),
    (      4.0,    0.0,     -2.0,    0.0 ),
    (      4.0,    0.0,     -2.0,    0.0 ),
    (     -4.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (  -2274.0,   -0.2,    977.0,   -0.5 ),
    (    712.0,    0.1,     -7.0,    0.0 ),
    (   -386.0,   -0.4,    200.0,    0.0 ),
    (   -301.0,    0.0,    129.0,   -0.1 ),
    (   -158.0,    0.0,     -1.0,    0.0 ),
    (    123.0,    0.0,    -53.0,    0.0 ),
    (     63.0,    0.0,     -2.0,    0.0 ),
    (     63.0,    0.1,    -33.0,    0.0 ),
    (    -58.0,   -0.1,     32.0,    0.0 ),
    (    -59.0,    0.0,     26.0,    0.0 ),
    (    -51.0,    0.0,     27.0,    0.0 ),
    (    -38.0,    0.0,     16.0,    0.0 ),
    (     29.0,    0.0,     -1.0,    0.0 ),
    (     29.0,    0.0,    -12.0,    0.0 ),
    (    -31.0,    0.0,     13.0,    0.0 ),
    (     26.0,    0.0,     -1.0,    0.0 ),
    (     21.0,    0.0,    -10.0,    0.0 ),
    (     16.0,    0.0,     -8.0,    0.0 ),
    (    -13.0,    0.0,      7.0,    0.0 ),
    (    -10.0,    0.0,      5.0,    0.0 ),
    (     -7.0,    0.0,      0.0,    0.0 ),
    (      7.0,    0.0,     -3.0,    0.0 ),
    (     -7.0,    0.0,      3.0,    0.0 ),
    (     -8.0,    0.0,      3.0,    0.0 ),
    (      6.0,    0.0,      0.0,    0.0 ),
    (      6.0,    0.0,     -3.0,    0.0 ),
    (     -6.0,    0.0,      3.0,    0.0 ),
    (     -7.0,    0.0,      3.0,    0.0 ),
    (      6.0,    0.0,     -3.0,    0.0 ),
    (     -5.0,    0.0,      3.0,    0.0 ),
    (      5.0,    0.0,      0.0,    0.0 ),
    (     -5.0,    0.0,      3.0,    0.0 ),
    (     -4.0,    0.0,      0.0,    0.0 ),
    (      4.0,    0.0,      0.0,    0.0 ),
    (     -4.0,    0.0,      0.0,    0.0 ),
    (     -3.0,    0.0,      0.0,    0.0 ),
    (      3.0,    0.0,      0.0,    0.0 ),
    (     -3.0,    0.0,      1.0,    0.0 ),
    (     -3.0,    0.0,      1.0,    0.0 ),
    (     -2.0,    0.0,      1.0,    0.0 ),
    (     -3.0,    0.0,      1.0,    0.0 ),
    (     -3.0,    0.0,      1.0,    0.0 ),
    (      2.0,    0.0,     -1.0,    0.0 ),
    (     -2.0,    0.0,      1.0,    0.0 ),
    (      2.0,    0.0,     -1.0,    0.0 ),
    (     -2.0,    0.0,      1.0,    0.0 ),
    (      2.0,    0.0,      0.0,    0.0 ),
    (      2.0,    0.0,     -1.0,    0.0 ),
    (      1.0,    0.0,     -1.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,     -1.0,    0.0 ),
    (     -2.0,    0.0,      1.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,     -1.0,    0.0 ),
    (     -1.0,    0.0,      1.0,    0.0 ),
    (     -1.0,    0.0,      1.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,     -1.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 ),
    (     -1.0,    0.0,      0.0,    0.0 ),
    (      1.0,    0.0,      0.0,    0.0 )
)
