
# q-expansion of newform 2300.2.i.f, downloaded from the LMFDB on 19 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 = 2300
weight = 2
poly_data = [1296, 0, 0, 0, 3177, 0, 0, 0, 1357, 0, 0, 0, 74, 0, 0, 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], [[-57267, 0, 0, 0, -353096, 0, 0, 0, -23572, 0, 0, 0, -347, 0, 0, 0], 179019], [[-690507, 0, 0, 0, -443813, 0, 0, 0, -26941, 0, 0, 0, -389, 0, 0, 0], 179019], [[-1184769, 0, 0, 0, -899813, 0, 0, 0, -50524, 0, 0, 0, -683, 0, 0, 0], 179019], [[0, 1113030, 0, 0, 0, -262379, 0, 0, 0, -20203, 0, 0, 0, -305, 0, 0], 537057], [[0, 0, 3525363, 0, 0, 0, 1081247, 0, 0, 0, 57262, 0, 0, 0, 767, 0], 2148228], [[0, 0, 926757, 0, 0, 0, -2130763, 0, 0, 0, -138074, 0, 0, 0, -1987, 0], 2148228], [[0, -1184769, 0, 0, 0, -899813, 0, 0, 0, -50524, 0, 0, 0, -683, 0, 0], 358038], [[0, 7275915, 0, 0, 0, 3768499, 0, 0, 0, 212192, 0, 0, 0, 2911, 0, 0], 1074114], [[0, 0, 0, -3525363, 0, 0, 0, -1081247, 0, 0, 0, -57262, 0, 0, 0, -767], 2148228], [[0, 0, -3675489, 0, 0, 0, -2151917, 0, 0, 0, -122374, 0, 0, 0, -1685, 0], 716076], [[0, 0, 0, -11728035, 0, 0, 0, -2718983, 0, 0, 0, -131380, 0, 0, 0, -1691], 3222342], [[0, 0, -2015009, 0, 0, 0, -1317181, 0, 0, 0, -74474, 0, 0, 0, -1017, 0], 238692], [[0, 0, 0, -2015009, 0, 0, 0, -1317181, 0, 0, 0, -74474, 0, 0, 0, -1017], 477384], [[0, 0, 0, -121516803, 0, 0, 0, -63612847, 0, 0, 0, -3546710, 0, 0, 0, -48307], 12889368]]

hecke_ring_character_values = [[1151, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [277, [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1201, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]]
aps_data = [[0, 0, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0], [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, 1, 0, 3, 0, 2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 3, 0, -2, 3], [6, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, -4, -3], [0, 2, 0, 0, 0, -2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, -4, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 6], [8, 0, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 0, 0, 2, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 1, 0, 2, 0, 0], [-8, 0, 4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, 1, 0, 1, 1], [0, -2, 0, 0, 0, -6, 0, 0, 5, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 3, 0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, -2, 8, 0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0], [0, -3, 0, 0, 0, -4, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -5, 0, 4, 1], [-4, 0, 2, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 1, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [4, 0, -4, 6, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -8, 2, 0, 0, 0, -3, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, -6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, -5, 0, 0], [-7, 0, -4, 6, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 8, -5], [0, 0, 0, 0, 0, 0, -12, -4, 0, 0, 0, 4, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 6, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -2, 0, -6, -2], [12, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 0, -5, 0, -6, 1], [-4, 0, -6, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, 0, 0, 2, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 3, 0, -1, -9], [0, 0, 0, 0, 0, 0, -4, -1, 0, 0, 0, -7, 0, 5, 0, 0], [0, 2, 0, 0, 0, -1, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0], [-6, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, -5, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 4], [8, 0, 2, -10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 2, 7], [22, 0, -2, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -5, 0, 8, -8], [0, 0, 0, 0, 0, 0, 12, -6, 0, 0, 0, 4, 0, -4, 0, 0], [0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 9, 0, -8, 0, 0], [6, 0, -8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, 6, 0, 0, 0, 0, 0, -4, 0, 0], [0, 0, 0, 0, 0, 0, -18, 6, 0, 0, 0, -4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 4, 0, 0, -10], [0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 1, 0, -1, 0, 0], [0, 3, 0, 0, 0, -1, 0, 0, -8, -10, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, -6, 0, 3, 0, 0], [0, -10, 0, 0, 0, 10, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [8, 0, -3, -5, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -9, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, -5, 0, 0, 16, 1, 0, 0, 0, 0, 0, 0], [-6, 0, -6, 10, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, -3, 0, 0, 0], [-16, 0, 1, -3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 7, 0, -9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, -6, -3], [0, 0, 0, 0, 0, 0, -6, 2, 0, 0, 0, 1, 0, -9, 0, 0], [0, 0, 0, 0, 0, 0, -10, 2, 0, 0, 0, -6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 1, 0, -10, 3], [8, 0, 4, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 1, 0, 0, -8], [0, -12, 0, 0, 0, 4, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0, -6, 5], [-18, 0, 8, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 10, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, -16, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 3, 0, 12, 0], [0, -7, 0, 0, 0, -7, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -3, -4, 0, 0, 0, -6, 0, 1, 0, 0], [-12, 0, 1, -12, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -6, -8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -2, 0], [0, 8, 0, 0, 0, 6, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0], [-10, 0, 4, -6, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -26, 2, 0, 0, 0, -2, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, -6, -6, 0, 0, 0, 2, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 1, 0, 4, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 4, -2], [0, 3, 0, 0, 0, 2, 0, 0, -10, -1, 0, 0, 0, 0, 0, 0], [16, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -14, 6, 0, 0, 0, -2, 0, -8, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 12, 7, 0, 0, 0, 0, 0, 0], [0, 14, 0, 0, 0, 6, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0], [0, -10, 0, 0, 0, -3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [15, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 30, 2, 0, 0, 0, -6, 0, 2, 0, 0], [4, 0, 4, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -4, 0, -6, 0, 0], [0, 12, 0, 0, 0, 2, 0, 0, -8, -6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -6, 0, 0, -8], [0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 8, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, -9, 0, 2, -1], [0, 0, 0, 0, 0, 0, -8, -6, 0, 0, 0, -8, 0, -5, 0, 0], [0, -4, 0, 0, 0, 8, 0, 0, 6, -12, 0, 0, 0, 0, 0, 0], [-18, 0, 3, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-14, 0, 12, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, -10, 0], [0, 7, 0, 0, 0, 1, 0, 0, 10, 9, 0, 0, 0, 0, 0, 0], [0, -4, 0, 0, 0, 16, 0, 0, -6, -4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -4, 0, 12, 0, 0], [0, 0, 11, -9, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [19, 0, 12, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 14, 0, 0, -8, 2, 0, 0, 0, 0, 0, 0], [0, -11, 0, 0, 0, -11, 0, 0, -2, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 0, 0, 0], [-22, 0, 8, -12, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 11, 0, 0, 2, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 9, 0, 4, 0], [0, 0, 0, 0, 0, 0, -4, -13, 0, 0, 0, 8, 0, 5, 0, 0], [0, 15, 0, 0, 0, -8, 0, 0, 4, -8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, -9, 0, 1, 9], [0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, -2, 0, 2, 0, 0], [0, -5, 0, 0, 0, 9, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 2, 0, 4, 2], [0, 13, 0, 0, 0, -9, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 18, -8, 0, 0, 0, 0, 0, 7, 0, 0], [6, 0, 8, 8, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 26, -1, 0, 0, 0, 10, 0, 4, 0, 0], [0, -2, 0, 0, 0, -6, 0, 0, -20, -2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 14, -8, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -7, 0, -4, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 10, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 1, 0, 12, 10], [0, 0, 0, 0, 0, 0, -22, 12, 0, 0, 0, -8, 0, 9, 0, 0], [0, 18, 0, 0, 0, -10, 0, 0, -4, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, -5, 0, 12, -3], [-23, 0, -12, -2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, -8, 0, -5, -8], [10, 0, -2, -4, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -17, 0, 0, 14, 4, 0, 0, 0, 0, 0, 0], [20, 0, 0, 8, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-20, 0, 9, -5, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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