
# q-expansion of newform 525.2.q.f, downloaded from the LMFDB on 17 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 = 525
weight = 2
poly_data = [16, 0, 128, 0, 880, 0, 1064, 0, 940, 0, 332, 0, 85, 0, 11, 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], [[3416, 0, -28864, 0, -20976, 0, -14630, 0, -4226, 0, -1059, 0, -127, 0, -13, 0], 17208], [[1131680, 0, 4197620, 0, 4542924, 0, 5759872, 0, 2199943, 0, 619005, 0, 83435, 0, 8072, 0], 2357496], [[-749364, 0, -3252680, 0, -2699154, 0, -1879598, 0, -612405, 0, -149820, 0, -18896, 0, -1699, 0], 392916], [[2648608, 0, -1016664, 0, -1173004, 0, -5398232, 0, -2181786, 0, -672151, 0, -91521, 0, -9357, 0], 1571664], [[272784, 0, 12681936, 0, 14343892, 0, 13616468, 0, 4851724, 0, 1267309, 0, 164807, 0, 15229, 0], 1571664], [[0, 1844448, 0, 12681936, 0, 14343892, 0, 13616468, 0, 4851724, 0, 1267309, 0, 164807, 0, 15229], 1571664], [[0, 112384, 0, 417712, 0, 483588, 0, 409832, 0, 143882, 0, 36549, 0, 4723, 0, 427], 34416], [[-3194176, 0, -22775544, 0, -27514780, 0, -21834704, 0, -7521662, 0, -1862467, 0, -238093, 0, -21101, 0], 1571664], [[0, 8495368, 0, -10957532, 0, -11665404, 0, -20873260, 0, -7971934, 0, -2306547, 0, -308177, 0, -30473], 2357496], [[-1684584, 0, -11170948, 0, -15171236, 0, -13036508, 0, -4612487, 0, -1163096, 0, -150080, 0, -13411, 0], 785832], [[0, 5684968, 0, -58172408, 0, -72742140, 0, -72425530, 0, -26014876, 0, -6850017, 0, -892865, 0, -82961], 4714992], [[0, 4461244, 0, 17571096, 0, 19847572, 0, 15012495, 0, 5136186, 0, 1257754, 0, 160481, 0, 14088], 785832], [[0, -1445260, 0, 18177892, 0, 24011448, 0, 25256949, 0, 9179749, 0, 2439960, 0, 319213, 0, 29781], 785832], [[0, 2711404, 0, 33653328, 0, 42566624, 0, 37944739, 0, 13442445, 0, 3442334, 0, 445749, 0, 40479], 785832]]

hecke_ring_character_values = [[176, [-1, 0, 0, 0, 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]], [451, [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]]
aps_data = [[0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 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, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, 1, 1], [-1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, 0, -2], [3, 0, 2, -2, -2, -3, 4, 0, 0, -1, 0, -1, 0, 0, 0, 0], [0, 0, 0, -3, -1, -3, -1, 0, 0, 3, 0, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, -2, 3, 0, 2, 0, -3, -2, 0, 2], [-3, 0, 0, 0, -2, 1, -2, 0, 0, 1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 2, 0, -2], [0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 4, 0, 0, -4], [0, 0, -2, 1, 2, 1, -4, 0, 0, 1, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 3, -3, 3, 0, 0, -4, 0, 1, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1], [-2, 0, 1, -1, 1, 0, -3, 0, 0, -1, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 1, 2, 2, -2], [11, 0, 2, -4, -3, -3, 8, 0, 0, 2, 0, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, -6, 0, 0, 0, 0, 0, -2, 2], [3, 0, 4, -8, 1, 1, 4, 0, 0, 5, 0, 6, 0, 0, 0, 0], [0, -3, 0, 0, 0, 0, 0, 3, -1, 0, -2, 0, 0, 2, 3, 3], [0, 0, 4, -2, 1, -2, 4, 0, 0, -2, 0, -1, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 0, 5, 0, -1, 0, 7, -4, 3, 1], [0, -1, 0, 0, 0, 0, 0, 0, 10, 0, 6, 0, -2, 2, 4, -6], [0, 0, -2, 1, 3, 0, -5, 0, 0, 0, 0, -3, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, -2, -2, -2, -2], [0, 2, 0, 0, 0, 0, 0, 2, -6, 0, -2, 0, 2, -2, 1, -1], [0, 0, 2, -4, 4, 4, 4, 0, 0, 2, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -2, -6, 0, 0, 0, 3, 1, 1, -1], [3, 0, 6, -6, -3, 2, 3, 0, 0, 5, 0, 5, 0, 0, 0, 0], [-3, 0, -5, 0, 4, -4, 7, 0, 0, 1, 0, -5, 0, 0, 0, 0], [0, 0, 10, -5, -1, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 4, 4, -2], [0, 2, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 4, -6, -6, 0], [0, -1, 0, 0, 0, 0, 0, -1, 4, 0, -2, 0, 2, -2, 2, -2], [0, -4, 0, 0, 0, 0, 0, 8, -2, 0, 4, 0, 2, -2, 2, 4], [8, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0], [-4, 0, -9, 9, 4, 1, -4, 0, 0, -3, 0, -3, 0, 0, 0, 0], [4, 0, -10, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, -1, -6, 6, 6], [0, -2, 0, 0, 0, 0, 0, 2, 6, 0, 3, 0, -9, -3, 2, 2], [2, 0, 0, 9, -1, 2, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0], [-1, 0, 1, 1, 0, 3, 0, 0, 0, -3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -6, 2, 0, 0], [0, -4, 0, 0, 0, 0, 0, 2, -6, 0, -6, 0, 3, 5, -5, 1], [-4, 0, 9, 0, -8, 8, -4, 0, 0, 1, 0, 7, 0, 0, 0, 0], [0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -6, 2, 0, -2], [-2, 0, -10, 10, 6, 4, 2, 0, 0, -2, 0, -2, 0, 0, 0, 0], [-6, 0, 0, 9, -3, 2, -6, 0, 0, -2, 0, -3, 0, 0, 0, 0], [-6, 0, -1, -1, -3, 4, -3, 0, 0, -1, 0, 1, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, -4, 14, 0, -1, 0, -14, -2, -3, -1], [0, 0, 0, 0, 0, 0, 0, -1, 12, 0, 2, 0, -7, 5, 5, -3], [0, 0, -6, 3, 5, -3, 14, 0, 0, -3, 0, -5, 0, 0, 0, 0], [-7, 0, 3, 0, -5, 5, 2, 0, 0, 1, 0, 4, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, -1, 6, 0, 6, 0, 1, 0, 0, -6], [-2, 0, 4, -4, 2, 8, -2, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 4, 0, 1, 6, 6, -2], [0, -6, 0, 0, 0, 0, 0, -6, 14, 0, -4, 0, 4, -4, 4, -4], [0, 3, 0, 0, 0, 0, 0, -3, 12, 0, -3, 0, -27, 3, -3, -3], [0, 0, 10, -5, -8, 1, -8, 0, 0, 1, 0, 8, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 4, 0, -1, 4, 0, -4], [0, 14, 0, 0, 0, 0, 0, 0, -16, 0, -5, 0, -6, 4, -9, 5], [10, 0, 1, -2, -2, -2, 8, 0, 0, -5, 0, -7, 0, 0, 0, 0], [0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, -3, 3], [0, 0, 0, 0, 0, 0, 0, -5, 2, 0, 4, 0, -3, 1, 1, 3], [3, 0, -3, 3, 5, -5, 11, 0, 0, -10, 0, -10, 0, 0, 0, 0], [0, 12, 0, 0, 0, 0, 0, -6, -6, 0, -6, 0, -3, 3, -3, 3], [-2, 0, 7, 0, 1, -1, 3, 0, 0, -8, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, -7, 0, -9, 0, 8, -8, -8, -1], [0, -8, 0, 0, 0, 0, 0, 16, 7, 0, 5, 0, -7, 1, 6, 5], [-8, 0, -1, -1, 5, 3, 5, 0, 0, -8, 0, 8, 0, 0, 0, 0], [0, -5, 0, 0, 0, 0, 0, 10, -8, 0, -5, 0, 8, 0, -5, -5], [4, 0, 0, 5, 0, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, -9, 0, 0, 0, 0, 0, 0, 11, 0, 4, 0, 3, -2, 6, -4], [7, 0, -1, 0, 6, -6, -1, 0, 0, -3, 0, -3, 0, 0, 0, 0], [18, 0, 0, -12, -6, -6, 3, 0, 0, 6, 0, -6, 0, 0, 0, 0], [18, 0, 0, 0, -2, -6, -2, 0, 0, 8, 0, -8, 0, 0, 0, 0], [-16, 0, 9, 9, -2, 11, -2, 0, 0, -9, 0, 9, 0, 0, 0, 0], [-8, 0, 0, -8, -6, -14, -10, 0, 0, 14, 0, -6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, -18, -2, -3, -3], [11, 0, -3, 0, 1, -1, -10, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 0, 0, 0, 6, 0, -1, 0, 8, 2, -3, 1], [-7, 0, 11, -11, 3, 9, -11, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, -12, -7, 0, -5, 0, 7, 5, 0, -5], [0, 0, 3, 3, -1, 6, -1, 0, 0, -5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 5, -12, 0, -7, 0, 7, -7, -5, 5], [0, -7, 0, 0, 0, 0, 0, 14, -4, 0, -1, 0, 4, -4, -5, -1], [0, 0, 0, 0, -8, 0, -14, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, -8, 0, 0, 0, 0, 0, 4, -3, 0, -3, 0, 13, 1, -1, 2], [12, 0, 4, -4, -2, -2, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 5, -10, -2, -2, 6, 0, 0, 13, 0, 11, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 7, 12, 0, 15, 0, -15, 15, 8, -8], [-15, 0, 3, -6, 6, 6, -9, 0, 0, -3, 0, 3, 0, 0, 0, 0], [0, 0, -20, 10, 10, -2, -20, 0, 0, -2, 0, -10, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 0, -9, 0, 1, 0, -11, 5, -4, -1], [-5, 0, -2, 4, -2, -2, -7, 0, 0, 0, 0, -2, 0, 0, 0, 0], [0, -7, 0, 0, 0, 0, 0, -7, -16, 0, -9, 0, 9, -9, -4, 4], [0, 0, 0, 0, 0, 0, 0, 4, -12, 0, -4, 0, 8, -2, -2, -2], [0, -10, 0, 0, 0, 0, 0, 5, -6, 0, -6, 0, 3, -1, 1, 7], [-2, 0, 13, 0, -9, 9, -7, 0, 0, 6, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, -14, 7, -9, 0, 0, 7, 0, 14, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 7, 0, 7, 0, -7, 5, 5, 2], [0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 1, 0, -1, 1, 0, 0], [0, 2, 0, 0, 0, 0, 0, -4, -6, 0, 3, 0, 6, 2, 5, 3], [4, 0, 0, -16, 8, -2, 10, 0, 0, 2, 0, 8, 0, 0, 0, 0], [-5, 0, -12, 12, 13, 10, 3, 0, 0, -3, 0, -3, 0, 0, 0, 0], [0, 21, 0, 0, 0, 0, 0, 0, 15, 0, 10, 0, -5, 9, 1, -10], [0, 18, 0, 0, 0, 0, 0, -9, -1, 0, -1, 0, 6, 9, -9, -8], [0, -8, 0, 0, 0, 0, 0, 8, 8, 0, 2, 0, -14, -2, 8, 8], [0, 0, 0, -3, 13, 9, 13, 0, 0, -9, 0, 13, 0, 0, 0, 0], [8, 0, -2, -2, 16, -8, 16, 0, 0, -8, 0, 8, 0, 0, 0, 0], [10, 0, 0, -8, 5, -2, 10, 0, 0, 2, 0, 5, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 6, 14, 0, 10, 0, -18, -10, 7, 7], [0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 6, 0, 0, 0], [0, -26, 0, 0, 0, 0, 0, 0, -4, 0, -5, 0, 6, -12, 7, 5], [12, 0, 8, -8, -12, -8, 12, 0, 0, 4, 0, 4, 0, 0, 0, 0], [-12, 0, 0, 3, -1, -6, -7, 0, 0, 6, 0, -1, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 4, 0, -4, 4, -1, 1], [0, 2, 0, 0, 0, 0, 0, -4, 12, 0, 9, 0, -12, 2, 11, 9], [0, 0, 0, 0, 0, 0, 0, 5, 18, 0, 2, 0, -10, 2, 2, 0], [0, 0, 3, 0, -10, 10, -10, 0, 0, 7, 0, 3, 0, 0, 0, 0], [11, 0, 10, -10, -8, 7, 14, 0, 0, 15, 0, 15, 0, 0, 0, 0], [-28, 0, -8, 16, 3, 3, -25, 0, 0, -12, 0, -9, 0, 0, 0, 0], [6, 0, -4, 8, -8, -8, -2, 0, 0, -8, 0, -16, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -7, 0, -9, 7, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 5, 0, -13, -3, 8, -5], [0, 0, 12, -6, 2, -11, 21, 0, 0, -11, 0, -2, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 8, 0, 8, -8, 6, 6], [16, 0, 11, -22, -12, -12, 4, 0, 0, 15, 0, 3, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, -2, 0, 14, 0, -14, 14, 4, -4], [-18, 0, -5, 10, 5, 5, -13, 0, 0, -10, 0, -5, 0, 0, 0, 0], [5, 0, 6, -6, -7, 8, 3, 0, 0, 15, 0, 15, 0, 0, 0, 0], [0, 20, 0, 0, 0, 0, 0, -10, -6, 0, -6, 0, -9, -1, 1, 7], [0, 0, 0, 0, 0, 0, 0, 9, -6, 0, 16, 0, -5, 9, 9, 7], [0, 0, 0, 0, 0, 0, 0, 0, -34, 0, -7, 0, 7, -7, -12, 12], [-18, 0, 0, 5, 9, 7, 0, 0, 0, -7, 0, 9, 0, 0, 0, 0], [5, 0, 15, -15, -4, -1, 6, 0, 0, 3, 0, 3, 0, 0, 0, 0], [4, 0, -1, 0, -3, 3, -7, 0, 0, -4, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 27, -4, 4, -1], [0, 1, 0, 0, 0, 0, 0, -1, -2, 0, -7, 0, -3, 7, 6, 6], [6, 0, 0, 0, -12, -7, -9, 0, 0, 7, 0, -12, 0, 0, 0, 0], [-24, 0, -5, -5, 3, 4, 3, 0, 0, -7, 0, 7, 0, 0, 0, 0], [0, -15, 0, 0, 0, 0, 0, 15, -9, 0, -2, 0, 16, 2, 0, 0], [0, -12, 0, 0, 0, 0, 0, 6, 8, 0, 8, 0, -5, -1, 1, -7], [13, 0, -9, 0, -5, 5, -18, 0, 0, 13, 0, -8, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, -6, 0, 1, 0, -8, -2, 3, -1], [0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 2, 0, 6, -10, -8, 2], [-9, 0, -1, -1, -1, -13, -1, 0, 0, 14, 0, -14, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, -11, 0, 0, 0, 0, 0, -2, 2], [0, -1, 0, 0, 0, 0, 0, 2, -6, 0, 6, 0, 6, 2, 8, 6], [0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 18, 0, -14, -9, 9, -9], [-30, 0, -5, 5, 5, 6, -55, 0, 0, 1, 0, 1, 0, 0, 0, 0], [8, 0, 7, -14, 4, 4, 12, 0, 0, -1, 0, 3, 0, 0, 0, 0], [-3, 0, -4, 8, 3, 3, 0, 0, 0, -17, 0, -14, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, -9, 3, 0, -2, 0, -8, 2, -2, -2], [0, 0, -14, 7, 4, -1, 16, 0, 0, -1, 0, -4, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, -10, 0, -6, 0, 2, -16, 10, 6], [0, 2, 0, 0, 0, 0, 0, -2, -22, 0, -18, 0, 26, 18, -10, -10], [0, 4, 0, 0, 0, 0, 0, 4, 13, 0, 5, 0, -5, 5, 10, -10], [24, 0, 4, -8, -10, -10, 14, 0, 0, 10, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 16, 8, 0, 2, 0, -5, 5, 5, -3], [0, 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