
# q-expansion of newform 637.2.h.m, downloaded from the LMFDB on 25 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 = 637
weight = 2
poly_data = [1, 0, 14, 0, 177, 0, 250, 0, 248, 0, 124, 0, 45, 0, 8, 0, 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], [[-1483013, 0, 41292, 0, 521544, 0, 1213590, 0, 645048, 0, 276768, 0, 50635, 0, 7068, 0], 773722], [[0, -2256735, 0, 41292, 0, 521544, 0, 1213590, 0, 645048, 0, 276768, 0, 50635, 0, 7068], 773722], [[408609, 0, 81918, 0, 1034676, 0, 1796116, 0, 1279692, 0, 549072, 0, 106693, 0, 14022, 0], 773722], [[0, -5036536, 0, 213231, 0, 2693242, 0, 6036084, 0, 3331014, 0, 1429224, 0, 262518, 0, 36499], 773722], [[-1597470, 0, 253857, 0, 3206374, 0, 6618610, 0, 3965658, 0, 1701528, 0, 318576, 0, 43453, 0], 773722], [[0, -3854205, 0, 295149, 0, 3727918, 0, 7832200, 0, 4610706, 0, 1978296, 0, 369211, 0, 50521], 773722], [[0, -860742, 0, -10882743, 0, -14894160, 0, -15333840, 0, -7712676, 0, -2848760, 0, -508380, 0, -64431], 773722], [[-87020, 0, -10882743, 0, -14894160, 0, -15333840, 0, -7712676, 0, -2848760, 0, -508380, 0, -64431, 0], 773722], [[-1305850, 0, -16512183, 0, -22175928, 0, -23561464, 0, -12008036, 0, -4592694, 0, -828304, 0, -107927, 0], 773722], [[-1814963, 0, -22943719, 0, -34019270, 0, -31705946, 0, -15617428, 0, -5418506, 0, -952041, 0, -114457, 0], 773722], [[-1657053, 0, -20950472, 0, -29266776, 0, -29454090, 0, -14780304, 0, -5420752, 0, -966125, 0, -121794, 0], 773722], [[0, 2517795, 0, 31833215, 0, 44160936, 0, 44787930, 0, 22492980, 0, 8269512, 0, 1474505, 0, 186225], 773722], [[0, 1691, 0, 194601, 0, 289428, 0, 297972, 0, 150958, 0, 55358, 0, 9879, 0, 1241], 2734], [[0, 5638608, 0, 71289117, 0, 100356134, 0, 100055340, 0, 50118444, 0, 18280712, 0, 3254850, 0, 408609], 773722]]

hecke_ring_character_values = [[248, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]], [197, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]]]
aps_data = [[-1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 2, 1], [0, -1, 0, 1, 0, 2, 0, 0, -1, 0, 0, 0, 0, 1, 0, 2], [0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 2, -2], [-1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 3, 0, 2, 0, 2, 0, 0, 0, 2, -2, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 3, 1], [3, 0, 3, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, -2, 2], [5, 0, 0, 0, 0, 0, 0, 0, 0, -5, 2, 0, -5, 0, 0, 0], [0, -4, 0, -2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 1, 0, 1, 0, 0, 0, 1, -1, -4, 0, 0, 0], [0, 3, 0, -1, 0, -4, 0, 0, 3, 0, 0, 0, 0, -1, -2, -4], [0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 3, -2, -1], [3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, -2, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 1, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4, -1, 0, 0, 0, 0, -3, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -7, 0, 0, 0], [0, 1, 0, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 3, 3, 2], [0, -4, 0, -3, 0, 2, 0, 0, -4, 0, 0, 0, 0, -3, 10, 2], [0, 6, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 2, 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, -1, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, -2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 0, -2, 0, 0, 5, -1, 2, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3, -2, 3, 0, 0, 0], [4, 0, -1, 0, 4, 0, 0, 0, 0, 1, 4, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -1, 0, -3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, -6, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, -6, 0, 5, 0, 0, 0, 0, -2, 5, 0, 6, 0, 0, 0], [-6, 0, -3, 0, -6, 0, 5, 0, 0, -2, -6, -5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, -4, 3, 2], [-2, 0, 3, 0, -2, 0, -1, 0, 0, 5, -2, 1, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 7, -2, -8], [0, 0, 0, 0, 0, 0, 0, -2, -3, 0, 0, 0, 0, 5, 2, 2], [9, 0, 0, 0, 0, 0, 0, 0, 0, -9, 3, 2, -1, 0, 0, 0], [0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -9, 0], [-8, 0, -2, 0, -8, 0, 5, 0, 0, 1, -8, -5, 2, 0, 0, 0], [-5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 5, -1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 7, 0, 0, -5, 1, -7, -1, 0, 0, 0], [0, 5, 0, -5, 0, 2, 0, 0, 5, 0, 0, 0, 0, -5, 0, 2], [-5, 0, 1, 0, -5, 0, -8, 0, 0, 9, -5, 8, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -10, -7, 0, 0, 0, 0, 0, 10, -2], [0, -7, 0, 7, 0, -2, 0, 0, -7, 0, 0, 0, 0, 7, -2, -2], [0, -6, 0, 2, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, -5, -3, 3, 5, 0, 0, 0], [-1, 0, 2, 0, -7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -10, 0, -3, 0, 5, 0, 0, -10, 0, 0, 0, 0, -3, 9, 5], [0, 4, 0, -6, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, -1, 0, 11, 0, 0, 4, 0, 0, 0, 0, -1, 2, 11], [15, 0, 0, 0, 0, 0, 0, 0, 0, -15, -6, 2, 6, 0, 0, 0], [0, -8, 0, 1, 0, -1, 0, 0, -8, 0, 0, 0, 0, 1, -5, -1], [0, -4, 0, 6, 0, 9, 0, 0, -4, 0, 0, 0, 0, 6, -3, 9], [-5, 0, -4, 0, -5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 10, 0, 2, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -7, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, -9, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0], [0, -7, 0, 2, 0, -2, 0, 0, -7, 0, 0, 0, 0, 2, -7, -2], [0, 0, 0, 0, 0, 0, 0, 10, 9, 0, 0, 0, 0, 0, -10, -6], [0, -9, 0, 13, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-15, 0, 0, 0, 0, 0, 0, 0, 0, 15, -5, -6, 15, 0, 0, 0], [3, 0, 5, 0, 3, 0, -1, 0, 0, -5, 3, 1, -5, 0, 0, 0], [13, 0, 6, 0, 2, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-11, 0, -7, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4, 10, 0, 0, 0, 0, -4, 4, 1], [0, -4, 0, -5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 0, 0, 0, 0, 0, 0, 0, 0, -10, 6, 5, -8, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 2, 0, 6, 0, 0, -7, 2, -6, -1, 0, 0, 0], [-2, 0, 3, 0, -2, 0, 4, 0, 0, 22, -2, -4, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 11, -4, 0, 0, 0, 0, 1, -11, -5], [-2, 0, -1, 0, -2, 0, -5, 0, 0, 11, -2, 5, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 10, 5, 0, 0, 0, 0, 11, -10, -15], [3, 0, -8, 0, -1, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 10, 0, 1, 0, 2, 0, 0, 10, 0, 0, 0, 0, 1, -5, 2], [0, 0, 0, 0, 0, 0, 0, -5, -14, 0, 0, 0, 0, -4, 5, -1], [-13, 0, -7, 0, -12, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, -3, 6, 0, 0, 0], [0, 2, 0, 10, 0, -13, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 15, 0, -10, 0, -4, 0, 0, 15, 0, 0, 0, 0, -10, -8, -4], [12, 0, 0, 0, 0, 0, 0, 0, 0, -12, -4, -10, 8, 0, 0, 0], [14, 0, 0, 0, 0, 0, 0, 0, 0, -14, -2, 4, 6, 0, 0, 0], [-17, 0, 7, 0, -2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, -10, 0, 11, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -11, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -8, 0, 0, 0, -3, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 12, 0, -11, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 11, 0, 3, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, -5, 0, 5, 0, -7, 0, 0, -2, 5, 7, 5, 0, 0, 0], [-5, 0, 0, 0, 0, 0, 0, 0, 0, 5, -4, -4, 1, 0, 0, 0], [0, -5, 0, -12, 0, -1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, -8, 0, -3, 0, 0, -2, 0, 0, 0, 0, -8, -1, -3], [0, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, -6, 1, -8], [0, 6, 0, 2, 0, -14, 0, 0, 6, 0, 0, 0, 0, 2, -1, -14], [-14, 0, 0, 0, 0, 0, 0, 0, 0, 14, -6, -14, -3, 0, 0, 0], [-7, 0, 4, 0, -14, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 4, 5, 0, 0, 0], [0, -15, 0, -5, 0, 1, 0, 0, -15, 0, 0, 0, 0, -5, 21, 1], [-35, 0, -3, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-15, 0, -4, 0, -15, 0, 2, 0, 0, 6, -15, -2, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 1, 5, -12], [0, 0, 0, 0, 0, 0, 0, 4, 12, 0, 0, 0, 0, 1, -4, -1], [0, -2, 0, 3, 0, 9, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0], [13, 0, 9, 0, 13, 0, 3, 0, 0, -10, 13, -3, -9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, -9, 0, 0, 0, 0, 2, 1, 15], [0, 0, 0, 0, 0, 0, 0, -3, -13, 0, 0, 0, 0, -1, 3, 20], [-5, 0, 0, 0, 0, 0, 0, 0, 0, 5, -12, -8, 17, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 1, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, -23, 0, 0, 0, 0, 7, -9, -7], [-21, 0, 0, 0, 0, 0, 0, 0, 0, 21, -5, 1, 13, 0, 0, 0], [-16, 0, 4, 0, 9, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -8, 0, -8, 0, 15, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 16, 0, 12, 0, -4, 0, -23, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, -6, 0, 13, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 0, 0, 0, 0, 0, 0, 0, 0, -15, 1, -1, -10, 0, 0, 0], [0, -5, 0, -1, 0, -7, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, -4, 0, 8, 0, -12, 0, 0, -3, 8, 12, 4, 0, 0, 0], [0, -7, 0, -2, 0, -15, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0], [-28, 0, 1, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 12, 0, 7, 0, 0, 0, 0, 12, 0, 0, 0, 0, 7, -6, 0], [-8, 0, 6, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, -10, 0, 5, 0, -4, 0, 0, 8, 5, 4, 10, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -13, -3, 0, 0, 0, 0, -7, 13, 8], [0, 5, 0, -1, 0, -4, 0, 0, 5, 0, 0, 0, 0, -1, -7, -4], [0, 4, 0, 5, 0, -5, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0], [-14, 0, 0, 0, 0, 0, 0, 0, 0, 14, -7, -2, -5, 0, 0, 0], [11, 0, -4, 0, 11, 0, 0, 0, 0, -7, 11, 0, 4, 0, 0, 0], [-17, 0, -6, 0, -13, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-21, 0, -3, 0, -21, 0, 16, 0, 0, 6, -21, -16, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -3, 15, 0, 0, 0, 0, 0, 3, -2], [0, 0, 0, 0, 0, 0, 0, 14, -5, 0, 0, 0, 0, 7, -14, 4], [0, 2, 0, -4, 0, -23, 0, 0, 2, 0, 0, 0, 0, -4, 4, -23], [0, 6, 0, 2, 0, 4, 0, 0, 6, 0, 0, 0, 0, 2, 19, 4], [0, 3, 0, -9, 0, -11, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, -5, 11, -10, -15, 0, 0, 0], [0, 6, 0, -9, 0, -14, 0, 0, 6, 0, 0, 0, 0, -9, 2, -14], [13, 0, 2, 0, -2, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13, 0, -12, 0, -3, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, -2, 0, -2, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -17, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, -16, 0, 5, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, -13, 0, 0, 0, 0, 0, 0, 0, 2, -9, -13], [0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 3, -1, 13], [0, -6, 0, -4, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [-18, 0, 0, 0, 0, 0, 0, 0, 0, 18, -9, -8, -5, 0, 0, 0], [1, 0, -2, 0, 1, 0, 9, 0, 0, -16, 1, -9, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -26, -4, 0, 0, 0, 0, -12, 26, 11], [28, 0, 9, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 11, 0, 17, 0, -11, 0, 0, 11, 0, 0, 0, 0, 17, -14, -11], [-9, 0, 0, 0, 0, 0, 0, 0, 0, 9, -9, -11, -4, 0, 0, 0], [-29, 0, 6, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, 0, -4, 0, 0, 6, 1, 4, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, -29, 0, 0, 0, 0, 1, -1, -2], [0, -7, 0, 15, 0, 0, 0, 0, -7, 0, 0, 0, 0, 15, -10, 0], [0, 0, 0, 0, 0, 0, 0, -9, -7, 0, 0, 0, 0, 11, 9, 2], [-16, 0, 11, 0, -1, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 14, 7, -7, 0, 0, 0], [16, 0, 1, 0, 3, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -14, -3, 21], [5, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5, 8, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 22, 12, 0, 0, 0, 0, 5, -22, -3], [6, 0, 0, 0, 0, 0, 0, 0, 0, -6, 15, -2, 8, 0, 0, 0], [0, 15, 0, -5, 0, 14, 0, 0, 15, 0, 0, 0, 0, -5, 11, 14]]
