
# q-expansion of newform 315.2.i.f, downloaded from the LMFDB on 20 April 2024.

# We generate the q-expansion using the Hecke eigenvalues a_p at the primes.
# Each a_p is given as a linear combination
# of the following basis for the coefficient ring.

def make_data():

    from sage.all import prod, floor, prime_powers, gcd, QQ, primes_first_n, next_prime, RR

    def discrete_log(elts, gens, mod):
        # algorithm 2.2, page 16 of https://arxiv.org/abs/0903.2785
        def table_gens(gens, mod):
            T = [1]
            n = len(gens)
            r = [None]*n
            s = [None]*n
            for i in range(n):
                beta = gens[i]
                r[i] = 1
                N = len(T)
                while beta not in T:
                    for Tj in T[:N]:
                        T.append((beta*Tj) % mod)
                    beta = (beta*gens[i]) % mod
                    r[i] += 1
                s[i] = T.index(beta)
            return T, r, s
        T, r, s = table_gens(gens, mod)
        n = len(gens)
        N = [ prod(r[:j]) for j in range(n) ]
        Z = lambda s: [ (floor(s/N[j]) % r[j]) for j in range(n)]
        return [Z(T.index(elt % mod)) for elt in elts]
    def extend_multiplicatively(an):
        for pp in prime_powers(len(an)-1):
            for k in range(1, (len(an) - 1)//pp + 1):
                if gcd(k, pp) == 1:
                    an[pp*k] = an[pp]*an[k]
    from sage.all import PolynomialRing, NumberField, ZZ
    R = PolynomialRing(QQ, "x")
    f = R(poly_data)
    K = NumberField(f, "a")
    betas = [K([c/ZZ(den) for c in num]) for num, den in basis_data]
    convert_elt_to_field = lambda elt: sum(c*beta for c, beta in zip(elt, betas))
    # convert aps to K elements
    primes = primes_first_n(len(aps_data))
    good_primes = [p for p in primes if not p.divides(level)]
    aps = map(convert_elt_to_field, aps_data)
    if not hecke_ring_character_values:
        # trivial character
        char_values = dict(zip(good_primes, [1]*len(good_primes)))
    else:
        gens = [elt[0] for elt in hecke_ring_character_values]
        gens_values = [convert_elt_to_field(elt[1]) for elt in hecke_ring_character_values]
        char_values = dict([(
            p,prod(g**k for g, k in zip(gens_values, elt)))
            for p, elt in zip(good_primes, discrete_log(good_primes, gens, level))
            ])
    an_list_bound = next_prime(primes[-1])
    an = [0]*an_list_bound
    an[1] = 1
    
    from sage.all import PowerSeriesRing
    PS = PowerSeriesRing(K, "q")
    for p, ap in zip(primes, aps):
        if p.divides(level):
            euler_factor = [1, -ap]
        else:
            euler_factor = [1, -ap, p**(weight - 1) * char_values[p]]
        k = RR(an_list_bound).log(p).floor() + 1
        foo = (1/PS(euler_factor)).padded_list(k)
        for i in range(1, k):
            an[p**i] = foo[i]
    extend_multiplicatively(an)
    return PS(an)
level = 315
weight = 2
poly_data = [6561, -4374, 5832, -2430, 3240, -1215, 1431, -540, 576, -180, 159, -45, 40, -10, 8, -2, 1]

# The entries in the following list give a basis for the
# coefficient ring in terms of a root of the defining polynomial above.
# Each line consists of the coefficients of the numerator, and a denominator.
basis_data  = [[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 1], [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 1], [[-105705, -6804, -66015, -6399, -35586, -5130, -15138, -729, -5133, -564, -1376, -92, -285, -13, -54, -1], 5832], [[-2009853, -642006, -944217, -364743, -553176, -219564, -230976, -77643, -69753, -31770, -20030, -7034, -3459, -1549, -384, -331], 763992], [[185895, 55404, 109593, 34425, 66582, 21006, 29214, 7335, 9171, 3036, 2808, 668, 571, 139, 98, 23], 17496], [[-2171691, 3457647, -1288386, 1748547, -707697, 955341, -254097, 409716, -113013, 129333, -20859, 34925, -6206, 6769, -1099, 1046], 763992], [[38027556, 8374023, 24917463, 5623344, 13723749, 3475683, 5968809, 1030491, 1921554, 450105, 545253, 111133, 110357, 19856, 19087, 3181], 2291976], [[-48914442, 3849849, -29565081, 2504682, -15973281, 881901, -6435693, 1032759, -2202156, 222711, -556257, 85891, -111667, 18134, -21707, 4417], 2291976], [[-64820493, 7169715, -38228760, 4608657, -20449341, 1382049, -8426889, 1367514, -2833947, 259437, -728211, 102185, -145040, 24811, -28999, 5084], 2291976], [[-11822922, -19893681, -7488531, -10866150, -4314951, -6031773, -2109699, -2386251, -500112, -785487, -182583, -196979, -33481, -37522, -4493, -7037], 2291976], [[-19925757, 11935917, -11517714, 6340437, -5366655, 3962331, -2270403, 1982160, -856971, 627531, -172845, 178159, -44614, 41831, -8453, 7210], 2291976], [[46493433, -14735277, 28572426, -7126137, 14304843, -3921075, 5830515, -2112984, 2068767, -641559, 470901, -193703, 104798, -46603, 17977, -9662], 2291976], [[-1106622, 7656201, -54513, 4524174, -75789, 2488941, 70947, 1071351, -51720, 355491, 9839, 99331, -1619, 21146, -343, 3765], 763992], [[58198257, -23731137, 32468202, -12803589, 17213067, -6339411, 6687495, -3348720, 2445795, -937479, 566589, -286595, 125582, -60991, 23761, -12086], 2291976], [[14521680, -10487151, 8279901, -6304716, 4473819, -3160539, 1722375, -1497951, 650802, -454785, 144563, -129525, 31991, -26580, 6145, -5017], 763992], [[12984219, -29492424, 6076701, -18592011, 2215350, -10364814, 273618, -4533309, 340047, -1510836, -14028, -420040, 4519, -86681, 1514, -16105], 2291976]]

hecke_ring_character_values = [[281, [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [136, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]]
aps_data = [[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, 1, 0, 1, 0, -1, -1, 1, 1, 0, 1, -1, 1, 0, -1], [-1, 1, 0, -1, 0, 1, -1, 0, 1, 0, -1, -1, 1, 1, 1, -1], [0, 0, 1, -1, 1, -1, 0, -2, 0, 1, 1, 1, -1, 1, -2, -1], [1, -2, 0, 1, 0, 2, 0, 0, 1, -1, -1, -1, 0, -1, 1, 1], [2, 0, 0, 2, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0], [2, 1, 2, 4, -2, -2, 2, 0, -1, 0, 2, 0, -1, 2, -1, 2], [0, 0, 1, -1, 0, -1, 0, -1, -1, 1, 0, 1, -1, 0, 0, -1], [3, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [-3, -1, 1, -4, 0, 1, 0, -1, -1, 1, -1, 1, -1, -2, -1, -1], [0, -1, -1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 2, -1, 1, 1], [1, 1, 0, -1, 0, 0, 1, -1, 0, 0, -1, -1, -2, -1, 0, 0], [0, -2, -1, 1, -1, 2, 0, 1, 1, 0, -1, -1, 0, -1, 1, 1], [-1, 2, 0, -1, 0, -3, 1, 0, 0, 0, 2, 2, 0, -1, 1, 1], [-3, 0, -2, 1, 3, 2, -3, 0, 1, 1, -2, 1, 1, -2, 1, -2], [-3, 1, 0, -3, 0, -2, 0, 2, 0, 0, -1, 0, 2, 0, 1, 0], [0, -2, -1, 0, -1, 0, -2, -1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 3, -1, -1, -2, 0, -1, -1, 0, 1, 1, 0, 1, -1, -1], [-2, 1, 0, 2, 2, 1, -2, -1, 1, 0, -2, 0, 0, 0, 0, -2], [0, -2, -1, 0, 1, 2, 0, 0, 1, 0, -2, -1, 0, -2, 2, -1], [3, -1, 4, -1, -1, 0, -1, -1, 0, 2, 1, 1, 0, 1, -1, -1], [0, -4, 0, 4, 0, 1, 0, 3, -3, -1, -1, -1, 3, 0, 0, 2], [5, -2, 0, 5, -4, -1, 5, 0, -1, -2, 1, -3, -2, -1, 0, 2], [-3, 1, -1, -2, 0, 4, -3, -1, 3, -1, -1, 0, 1, 3, 2, -2], [-4, -1, -1, 1, -2, 2, 1, 2, 0, -3, -1, -1, 2, -1, 3, 1], [5, 3, -1, 0, 0, -1, 1, 2, -1, -1, 0, 0, 1, 0, 1, 0], [1, 0, 0, 1, 0, -1, -1, 3, 0, 0, -3, 1, 3, -3, 1, -1], [1, 2, -2, 1, -3, 2, 3, 6, 0, -1, -1, -1, 2, -1, 3, 1], [0, 0, 1, -1, 0, -1, 0, 0, -1, 1, -1, -2, 0, 4, 0, -1], [-3, 2, -1, 0, 1, -1, -3, -2, 2, -2, -1, 0, 2, 1, -2, -3], [1, -2, -2, 3, 0, 3, -3, -1, 2, -2, 1, -1, -1, -1, 1, -1], [1, 1, -1, 2, 0, 2, 3, 0, 1, -1, 2, -2, 0, 3, -2, 4], [2, -3, 1, 1, -2, 2, 2, 1, -1, -2, 0, -2, -1, 1, 0, -1], [-4, -1, 0, -4, 0, -6, 0, 2, -2, 0, 1, 2, 0, -4, 1, 0], [2, 2, -3, 1, 0, -2, 1, 3, 0, 2, -1, -1, -2, -1, -1, 1], [-2, -2, -1, -1, 0, 6, -3, 2, 2, -1, -5, -5, 3, 3, 0, -2], [7, -3, -5, -2, -5, -1, 7, 2, -3, 0, 3, -2, -3, -7, 1, 5], [-3, -1, 2, 0, 0, 4, 4, 1, 2, -1, 0, 0, 0, 0, 0, 0], [4, 3, 4, -2, 2, 0, 2, -1, 0, 1, 2, 2, 0, 2, -2, -2], [2, 1, -3, 9, -3, 0, 2, 0, 2, 2, 6, 3, -3, -2, 1, -1], [-4, 7, 1, -5, 0, -4, 3, -1, 1, 1, 3, 1, 1, 3, 2, 2], [3, 0, 1, -2, 2, -6, 1, -5, -1, 1, 2, 2, -4, 2, -6, -2], [0, 0, 4, 0, 2, -4, 0, -2, 0, 2, 0, 0, -4, 0, -4, 0], [6, -4, 1, 5, 0, -7, 6, -2, -6, 1, 7, 0, -7, -2, -5, 5], [0, 3, -7, 5, 2, 0, 0, -1, -1, 2, -2, 0, -3, -9, 0, 1], [0, -5, -2, -4, 0, 1, 0, 5, -4, 1, 1, 1, 4, -2, 1, 4], [-5, -3, 1, -6, 0, -1, 2, 3, -3, 1, -3, 3, 1, -2, -3, 1], [-7, 1, 6, -1, 2, 2, 2, -1, 1, 0, 1, 1, 0, 1, -1, -1], [0, 0, 1, -1, 0, 0, 1, -5, -1, 1, 4, 2, -5, -3, -1, 0], [-2, 4, 6, 0, 1, -1, -2, 0, 0, 3, 3, 4, -1, 7, -1, 0], [8, -2, 4, 0, -5, -2, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0], [4, 2, -1, 5, 0, 4, -1, -4, 3, -1, 3, 2, -2, 7, 1, 0], [1, -3, 0, -9, 0, 1, 1, 0, 1, -1, -2, -2, 1, -1, 2, 0], [4, -2, 4, 0, 2, 4, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0], [1, -2, -2, 1, -1, 2, -1, 0, 0, -3, -1, -1, 2, -1, 3, 1], [1, -6, 1, 4, -1, 1, 1, 4, 0, 2, 3, 2, 4, 1, 4, 3], [2, 7, 5, 1, -1, -5, 2, -5, 2, 0, 0, -1, -4, 4, -2, 1], [4, -5, 0, 4, 0, 3, -3, 1, -1, 0, -4, -3, 0, 5, -1, -3], [6, 0, -1, 7, 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 1, 0], [-1, 6, -4, -1, 5, -5, -1, -1, -1, 4, 1, 1, -3, 1, -4, -1], [-2, 3, 1, -3, 0, -6, 1, 7, -1, 1, -5, 1, 7, -1, 2, 0], [1, 2, -3, 6, -2, -4, 1, -2, 3, 0, 3, 1, 1, -2, 0, 1], [-7, 3, -4, -9, 6, -1, -7, -2, 3, 1, -4, 2, 5, -3, 0, -2], [-2, 0, 0, 9, 2, 2, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0], [-10, 9, -1, -9, 0, 2, -5, 2, 7, -1, -4, -2, 8, 1, 8, -4], [-1, -2, -2, 1, 0, 1, -5, 2, 2, -2, -2, 4, 2, 3, 3, -3], [-2, 0, -1, 5, 0, -3, -2, 2, -1, 1, 3, 3, 5, 1, -1, 3], [-6, -2, -7, -1, 3, 4, -6, 4, -2, 1, 1, 4, 4, -4, -1, -3], [15, 2, -2, 1, 0, 6, -2, 4, 1, 1, -1, -1, 4, -1, 5, 1], [-1, 2, 0, -1, 1, 1, -1, 1, -3, 1, 0, 1, -2, 0, -2, 0], [-7, 0, -2, -5, 0, 3, 1, 0, 2, -2, 2, 0, 0, 5, -1, 3], [1, 2, -6, -2, -1, 0, -3, 0, -1, 4, 2, 2, 2, 2, 0, -2], [-2, -2, 0, -2, 0, -1, 3, 3, -2, 0, -1, -1, 1, 3, -3, 3], [-5, -3, 1, -8, 5, 4, -5, -3, 5, -4, -9, -4, 4, 1, 2, -7], [-1, -4, 1, 2, 1, 6, -2, 0, 3, 1, -2, -2, 0, -2, 2, 2], [1, -4, 0, 1, 0, -2, 6, -1, -4, 0, 5, -2, -5, 0, -6, 6], [7, 2, 3, 4, 0, -2, 5, -8, -3, 3, 7, 4, -8, 3, -3, 2], [5, -3, -3, 8, 0, 3, -6, 5, 3, -3, -5, -3, 5, 2, 3, -3], [-2, 10, 3, 7, 2, 0, -2, -7, 6, 2, 0, 2, -8, 3, -1, -7], [2, 1, 2, 0, 3, -3, 3, -2, 0, -2, 0, 0, -3, 0, -3, 0], [11, -9, -4, 1, 1, 14, -5, -5, 4, -4, -1, -1, 6, -1, 7, 1], [7, 8, 3, -2, -5, -9, 7, -4, 2, 4, 7, 2, -6, 1, 0, 7], [7, -2, -2, 1, -6, 1, 7, -2, 3, -2, 3, -3, -6, -3, 2, -2], [6, -1, -7, 1, -1, -4, -2, -1, -2, -3, -1, -1, 0, -1, 1, 1], [5, -1, 6, 13, -2, -1, 5, 0, -3, -1, -2, -4, -3, 3, 0, 4], [-3, 1, 6, -9, 3, 0, -3, -4, 5, -2, -5, -2, 2, 6, 1, -4], [-14, 1, -1, -13, 0, 8, -7, 1, 5, -1, -7, 3, 5, 1, 4, -6], [2, 8, -1, -1, 7, -7, 4, -1, -1, 1, 1, 1, -5, 1, -6, -1], [-1, -7, 5, -2, 3, 5, -1, 0, 2, -3, -8, -5, 3, 3, 4, -3], [2, -1, -9, 3, 3, 6, 0, 2, 3, -1, -3, -3, 0, -3, 3, 3], [4, 6, 2, 2, 0, 3, -3, -9, 3, 2, 3, 2, -4, 1, 4, -5], [-6, 0, -1, -5, 0, 0, -5, 0, 2, -1, -1, 1, 1, 7, 4, -4], [-17, 3, 0, -3, 4, -4, -2, -6, -2, 0, 3, 3, 0, 3, -3, -3], [-4, -4, 0, -4, 0, 6, -2, -3, 0, 0, -1, 3, -3, 0, -2, -2], [4, 1, -11, -1, 1, 6, -6, 0, 1, 5, 1, 1, 4, 1, 3, -1], [-18, 6, 13, -4, 1, -14, 4, -3, -4, 3, 4, 4, -6, 4, -10, -4], [7, -4, -14, 1, 0, 9, 2, 1, 4, 0, -1, -1, 1, -1, 2, 1], [15, -11, -2, 11, -11, -2, 15, 6, -7, -2, 5, -6, -2, -6, 3, 12], [-12, -3, 1, 3, 10, 6, -7, -6, 4, 1, -3, -3, -2, -3, 1, 3], [-7, 5, -3, -4, 0, 4, -5, 0, 7, -3, 0, -2, 4, -3, 6, -2], [1, -1, -2, 14, -1, 0, 1, 4, -5, 2, 3, 2, 0, -2, -1, 4], [2, -3, -3, 5, 0, 1, -8, 7, 3, -3, -7, 3, 7, -2, 5, -5], [-3, 0, -3, -4, 6, 7, -11, -9, 1, 6, 4, 4, 5, 4, 1, -4], [-8, 0, -3, -13, 6, 5, -8, -2, 5, -1, -5, 1, 3, -1, 1, -9], [-1, 3, -1, 0, 0, -10, -3, -1, -4, 0, 0, 0, -2, 0, -2, 0], [-9, -1, -5, -4, 0, -2, -5, 7, 4, -5, -1, -4, 6, 3, 5, 0], [-5, 0, -3, 4, -1, -3, -5, 0, 4, -2, 5, 4, 8, 3, -2, -3], [8, -4, -1, 9, 0, 2, 1, 5, -1, -1, -4, -6, 3, 5, -3, 2], [-11, 5, 3, 0, 2, 0, -3, 2, -1, 2, 0, 0, 2, 0, 2, 0], [7, -10, 0, 7, 0, -7, 5, -2, -8, 0, 8, 2, -10, -9, -7, 5], [0, 4, 1, -7, 1, 0, 0, 0, -3, 2, 0, 1, -4, 0, -2, 1], [-1, -4, 6, -3, 1, -3, -5, -8, 0, 6, 3, 3, -3, 3, -6, -3], [0, 2, -4, 8, 1, -1, 0, -2, 4, 3, 1, 2, -1, -5, 3, 0], [17, -10, 2, 15, 0, 7, 1, -11, -5, 2, 5, -1, -14, 3, -8, -1], [-12, 3, 0, 0, 1, -8, -1, -1, -3, -1, 0, 0, -2, 0, -2, 0], [-6, 9, 1, -7, 0, -8, 3, 2, 1, 1, 2, 4, 4, 3, 4, 2], [3, -8, 4, 1, -5, 1, 3, 5, -5, -5, 2, -3, 4, 6, -2, 2], [-9, -6, -2, -7, 0, 11, -3, -6, 2, -2, 2, -2, -6, -3, -3, -1], [1, 1, -6, 1, 2, -3, 1, 2, -1, 7, 2, 4, 1, -9, 4, 8], [-1, 9, -1, 6, -3, -2, -1, -3, -2, -3, 4, 1, -6, 3, -9, -5], [8, -4, 7, 1, -2, 4, -1, 1, 2, 2, -1, -1, 0, -1, 1, 1], [6, -8, -7, -13, -3, -2, 6, 4, -3, 0, 0, -3, 4, -10, 4, 9], [-7, 1, -13, -2, -5, 7, 0, 5, 1, 5, 2, 2, 5, 2, 3, -2], [-7, 2, 3, -12, 7, -1, -7, -6, 7, -3, -10, -3, 6, 3, 1, -5], [-6, 0, -1, 1, -4, 0, -1, 3, -2, -4, -1, -1, 4, -1, 5, 1], [-1, 9, 12, -4, -1, -6, -1, -4, 5, 4, 7, 6, -2, 14, -1, 0], [2, -2, 5, -3, 0, -2, 7, -1, -7, 5, -2, -4, -3, 7, -7, 2], [-6, -2, -2, 2, -2, -2, 4, 1, -1, -8, -2, -2, 0, -2, 2, 2], [10, 6, 1, 9, 0, -7, 6, 5, -1, 1, 0, 5, 5, 2, 0, 5], [4, 2, 2, 2, 0, 9, -9, -8, 4, 2, -4, -1, -2, -5, 5, -11], [27, -2, -2, -1, -3, 6, 3, 2, 2, 1, 1, 1, 2, 1, 1, -1], [1, -3, 0, 1, 0, -2, 0, -3, -2, 0, 4, 3, -5, 2, -1, 0], [8, 5, 3, 5, 0, -4, 1, -5, -1, 3, 3, -1, -3, 1, 2, -2], [-1, -3, -9, 0, -1, -1, -2, -2, 0, 1, 0, 0, -1, 0, -1, 0], [-2, 2, -5, 3, 0, -2, 1, 13, 4, -5, -4, 0, 12, -3, 2, 6], [-4, 1, 0, -4, 0, 2, 0, 9, 1, 0, -10, 2, 10, -4, 0, 0], [7, 0, -2, -1, -5, 9, 1, 5, 1, 0, 1, 1, 7, 1, 6, -1], [-11, 2, -10, -1, 9, 6, -11, -6, 2, 7, 1, 1, 2, 1, 1, -1], [7, -1, 7, 2, -6, 3, 7, -1, 0, -2, 3, -3, -9, 6, 0, -3], [9, -3, 0, 9, 0, -10, 8, -2, -6, 0, 11, 6, -8, 0, -5, 8], [-7, 13, -4, 3, 2, -6, -2, 11, -3, 4, -3, -3, 0, -3, 3, 3], [2, 9, -4, 2, 12, 4, -8, 1, 2, 7, -2, -2, 0, -2, 2, 2], [1, -3, 2, 1, 3, 0, 1, 4, -5, 4, -3, 0, 2, -2, 3, 8], [-7, 0, 0, 5, 8, 5, -7, -4, 9, 2, -7, 1, 2, -1, 6, -8], [9, 4, 5, 13, -9, 1, 9, -2, 0, 0, 9, 0, -14, 5, -2, -3], [-2, 3, 0, -2, 0, 1, -1, -2, 2, 0, 1, 4, 0, -13, 2, -1], [8, -1, -7, -1, -3, 2, -4, 0, -1, 1, 1, 1, 4, 1, 3, -1], [-14, 0, 1, -15, 0, -13, 4, 7, -5, 1, 0, 3, 3, -4, 0, 3], [1, 3, -1, 4, 2, 2, 7, 8, 3, 0, -4, -4, -4, -4, 0, 4], [18, -3, 11, 3, -5, -12, 6, 2, -3, -7, -3, -3, -6, -3, -3, 3], [3, -5, -4, 7, 0, 4, 6, 2, 0, -4, 5, -8, -2, 4, -7, 10], [-4, -6, -4, -8, 3, 5, -4, 0, 0, -7, -9, -6, 5, -3, -1, -6], [6, -2, -2, 17, -6, -8, 6, 2, 0, 2, 8, 2, 4, -2, 2, 10], [11, -3, -12, 1, 7, 8, 1, -4, 5, 0, -1, -1, -2, -1, -1, 1], [1, 4, -3, 8, 0, 0, 1, -2, 2, 3, 2, 2, -5, -4, 1, -1], [-4, 5, 13, -1, 2, -9, 3, -1, -3, -2, 1, 1, -3, 1, -4, -1], [-5, 1, -2, -3, 0, 10, -6, 4, 6, -2, -9, -6, 8, -4, 3, -4], [0, -11, 2, -8, 3, 1, 0, 4, -4, -4, -10, -7, 10, -1, 3, 6], [3, 0, 6, 1, 0, -10, 4, -2, -3, -7, -1, -1, -4, -1, -3, 1], [0, 4, 0, 0, 0, -2, 6, 1, 0, 0, 3, -5, 1, 4, -2, 6], [2, 11, -6, 2, 7, -4, -7, 3, -3, 1, -2, -2, 2, -2, 4, 2], [9, 0, 7, 2, 0, -8, 15, -5, -11, 7, 6, -1, -9, -1, -11, 8], [-5, -2, 1, 6, 2, 1, -5, -3, 5, -6, -5, -3, 6, 4, -1, -7], [7, -6, 9, -3, 4, 4, -3, -9, 4, 8, 3, 3, -4, 3, -7, -3], [5, -8, 4, 15, -4, 3, 5, 0, 4, -3, 0, -4, 0, 3, 5, -2]]
