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{'Lhash': '810343284266183607191277643834,1068674381364026033093505352055,2225767967919707149638695987511,3434945863770776387655349516505', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 2, 'a5': -6, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 4, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 669.3698663148037, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [1]], [13, [1, 4, 6, 4, 1]]], 'bad_primes': [7, 13], 'central_character': '637.1', 'coefficient_field': '1.1.1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'euler_factors': [[1, 0, -2, 0, 0, 0, -8, 0, 16], [1, 0, -4, 0, 7, 0, -36, 0, 81], [1, 6, 19, 42, 84, 210, 475, 750, 625], [1], [1, 0, -4, 0, -105, 0, -484, 0, 14641], [1, 4, 6, 4, 1], [1, 0, -32, 0, 735, 0, -9248, 0, 83521], [1, -6, 7, 54, -204, 1026, 2527, -41154, 130321], [1, -6, -11, -6, 852, -138, -5819, -73002, 279841], [1, -12, 154, -1056, 7251, -30624, 129514, -292668, 707281], [1, -2, -41, 34, 940, 1054, 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'10.81005655927754517179494615288612', '10.90560348233766062819855495140394'], 'prelabel': '8-637e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 416901350674648887, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.63924813676598929352401460753', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.843035439869330365332228107079', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.48219492623847272883945898622', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 669.3698663148037, 'bad_primes': [7, 13], 'central_character': '1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 2, -6, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 6, -12, 0, 0, 6, 0, 17, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 8, 4, 0, 0, 0, 24, 0, -20, 0, -24, 0, -6, 0, 0, 0, 0, -8, 6, 0, 0, 0, 0, 0, -12, 0, -12, 0, 0, 16, 24, 0, 12, 0, 0, 0, -24, 0, 10, 0, 0, 12, 0, 0, -14, -24, 9, 0, 36, 0, 0, 0, 0, 0, -6, 0, 0, 12, 0, 0, -36, 0, -4, 0, 0, 34], 'euler11': [1, 0, -4, 0, -105, 0, -484, 0, 14641], 'euler13': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler17': [1, 0, -32, 0, 735, 0, -9248, 0, 83521], 'euler19': [1, -6, 7, 54, -204, 1026, 2527, -41154, 130321], 'euler2': [1, 0, -2, 0, 0, 0, -8, 0, 16], 'euler23': [1, -6, -11, -6, 852, -138, -5819, -73002, 279841], 'euler29': [1, -12, 154, -1056, 7251, -30624, 129514, -292668, 707281], 'euler3': [1, 0, -4, 0, 7, 0, -36, 0, 81], 'euler31': [1, -2, -41, 34, 940, 1054, -39401, -59582, 923521], 'euler37': [1, -4, -44, 56, 1639, 2072, -60236, -202612, 1874161], 'euler41': [1, -24, 364, -3624, 27270, -148584, 611884, -1654104, 2825761], 'euler43': [1, 20, 322, 3080, 24619, 132440, 595378, 1590140, 3418801], 'euler47': [1, 6, -65, 42, 6300, 1974, -143585, 622938, 4879681], 'euler5': [1, 6, 19, 42, 84, 210, 475, 750, 625], 'euler53': [1, -6, -71, -6, 6732, -318, -199439, -893262, 7890481], 'euler59': [1, 12, 22, 48, 2907, 2832, 76582, 2464548, 12117361], 'euler61': [1, 12, -14, 432, 12459, 26352, -52094, 2723772, 13845841], 'euler67': [1, -12, 46, 432, -4533, 28944, 206494, -3609156, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 24, 400, 4776, 46914, 339096, 2016400, 8589864, 25411681], 'euler73': [1, -10, -53, -70, 10780, -5110, -282437, -3890170, 28398241], 'euler79': [1, 14, 61, -322, -3500, -25438, 380701, 6902546, 38950081], 'euler83': [1, -36, 782, -11232, 120003, -932256, 5387198, -20584332, 47458321], 'euler89': [1, 6, -149, 42, 23100, 3738, -1180229, 4229814, 62742241], 'euler97': [1, 4, 70, 520, 20683, 50440, 658630, 3650692, 88529281], 'euler_factors': [[1, 0, -2, 0, 0, 0, -8, 0, 16], [1, 0, -4, 0, 7, 0, -36, 0, 81], [1, 6, 19, 42, 84, 210, 475, 750, 625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4, 0, -105, 0, -484, 0, 14641], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 0, -32, 0, 735, 0, -9248, 0, 83521], [1, -6, 7, 54, -204, 1026, 2527, -41154, 130321], [1, -6, -11, -6, 852, -138, -5819, -73002, 279841], [1, -12, 154, -1056, 7251, -30624, 129514, -292668, 707281], [1, -2, -41, 34, 940, 1054, -39401, -59582, 923521], [1, -4, -44, 56, 1639, 2072, -60236, -202612, 1874161], [1, -24, 364, -3624, 27270, -148584, 611884, -1654104, 2825761], [1, 20, 322, 3080, 24619, 132440, 595378, 1590140, 3418801], [1, 6, -65, 42, 6300, 1974, -143585, 622938, 4879681], [1, -6, -71, -6, 6732, -318, -199439, -893262, 7890481], [1, 12, 22, 48, 2907, 2832, 76582, 2464548, 12117361], [1, 12, -14, 432, 12459, 26352, -52094, 2723772, 13845841], [1, -12, 46, 432, -4533, 28944, 206494, -3609156, 20151121], [1, 24, 400, 4776, 46914, 339096, 2016400, 8589864, 25411681], [1, -10, -53, -70, 10780, -5110, -282437, -3890170, 28398241], [1, 14, 61, -322, -3500, -25438, 380701, 6902546, 38950081], [1, -36, 782, -11232, 120003, -932256, 5387198, -20584332, 47458321], [1, 6, -149, 42, 23100, 3738, -1180229, 4229814, 62742241], [1, 4, 70, 520, 20683, 50440, 658630, 3650692, 88529281]], 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/e/f'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-637e4-1.1-c1e4-0-18', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-637e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 416901350674648887, 'z1': {'__RealLiteral__': 0, 'data': '0.63924813676598929352401460753', 'prec': 103}}
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{'Lhash': '810343284266183607191277643834,1068674381364026033093505352055,2225767967919707149638695987511,3434945863770776387655349516505', 'Lhash_array': ['810343284266183607191277643834', '1068674381364026033093505352055', '2225767967919707149638695987511', '3434945863770776387655349516505'], 'label': '8-637e4-1.1-c1e4-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/e/f'}