def zeta(k):
    """Coefficients in table 5 of <https://arxiv.org/abs/1508.07253>"""
    if k == 0:
        coeffs = [3931.9, -17395.8, 3132.38, 343966.0, -1216260.0, -70698.0,
            1383910.0, -3966280.0, -60017.5, 803515.0, -2091710.0]
    elif k == 1:
        coeffs = [-40105.5, 112253.0, 23561.7, -3476180.0, 11375900.0, 
            754313.0, -13084800.0, 36444600.0, 596227.0, -7427790.0, 18929000.0
            ]
    elif k == 2:
        coeffs = [83208.4, -191238.0, -210916.0, 8717980.0, -26914900.0, -
            1988980.0, 30888000.0, -83908700.0, -1453500.0, 17063500.0, -
            42748700.0]
    elif k == 3:
        coeffs = [0.814984, 2.57476, 1.16102, -2.36278, 6.77104, 0.757078, 
            -2.72569, 7.11404, 0.176693, -0.797869, 2.11624]
    elif k == 4:
        coeffs = [0.0069274, 0.0302047, 0.00630802, -0.120741, 0.262716, 
            0.00341518, -0.107793, 0.27099, 0.000737419, -0.0274962, 0.0733151]
    elif k == 5:
        coeffs = [1.01034, 0.000899312, 0.283949, -4.04975, 13.2078, 
            0.103963, -7.02506, 24.7849, 0.030932, -2.6924, 9.60937]
    elif k == 6:
        coeffs = [1.30816, -0.00553773, -0.0678292, -0.668983, 3.40315, -
            0.0529658, -0.992379, 4.82068, -0.00613414, -0.384293, 1.75618]
    return coeffs
