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{'Lhash': '3142295540352766147466517598159,3469637728078080953670659643445,3554798794649470234103079566131,4098953837646566227086152986534', 'a10': 0, 'a2': 0, 'a3': -2, 'a4': 0, 'a5': -8, 'a6': 0, 'a7': -12, 'a8': 0, 'a9': -1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 18.5781224035953, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1, 8, 26, 40, 25]], [13, [1, 8, 42, 104, 169]]], 'bad_primes': [2, 5, 13], 'central_character': '260.1', 'coefficient_field': '1.1.1.1', 'conductor': 4569760000, 'conductor_radical': 130, 'degree': 8, 'euler_factors': [[1], [1, 2, 5, 10, 16, 30, 45, 54, 81], [1, 8, 26, 40, 25], [1, 12, 73, 300, 912, 2100, 3577, 4116, 2401], [1, 8, 41, 152, 532, 1672, 4961, 10648, 14641], [1, 8, 42, 104, 169], [1, -6, 9, 102, -688, 1734, 2601, -29478, 83521], [1, 8, 41, 168, 644, 3192, 14801, 54872, 130321], [1, 14, 53, -226, -2552, -5198, 28037, 170338, 279841], [1, 6, 73, 366, 3228, 10614, 61393, 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'11.56704897213737104441459579286178', '11.90494379124894383378596945149391'], 'prelabel': '8-260e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4408714212424685, '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': 222427393334360797, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.47883410443463153285438854720', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.73706155896064975018308445461', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.80424179502574274612603317615', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 18.5781224035953, 'bad_primes': [2, 5, 13], 'central_character': '1.1', 'conductor': 4569760000, 'conductor_radical': 130, 'degree': 8, 'dirichlet_coefficients': [1, 0, -2, 0, -8, 0, -12, 0, -1, 0, -8, 0, -8, 0, 16, 0, 6, 0, -8, 0, 24, 0, -14, 0, 38, 0, 2, 0, -6, 0, 0, 0, 16, 0, 96, 0, -12, 0, 16, 0, 20, 0, -10, 0, 8, 0, 0, 0, 71, 0, -12, 0, -4, 0, 64, 0, 16, 0, -8, 0, 18, 0, 12, 0, 64, 0, 28, 0, 28, 0, -8, 0, -32, 0, -76, 0, 96, 0, 0, 0, 5, 0, 0, 0, -48, 0, 12, 0, -28, 0, 96, 0, 0, 0, 64, 0, 12, 0, 8, 0], 'euler11': [1, 8, 41, 152, 532, 1672, 4961, 10648, 14641], 'euler13': [1, 8, 42, 104, 169, 0, 0, 0, 0], 'euler17': [1, -6, 9, 102, -688, 1734, 2601, -29478, 83521], 'euler19': [1, 8, 41, 168, 644, 3192, 14801, 54872, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 14, 53, -226, -2552, -5198, 28037, 170338, 279841], 'euler29': [1, 6, 73, 366, 3228, 10614, 61393, 146334, 707281], 'euler3': [1, 2, 5, 10, 16, 30, 45, 54, 81], 'euler31': [1, 0, 0, 0, -1858, 0, 0, 0, 923521], 'euler37': [1, 12, 109, 732, 4128, 27084, 149221, 607836, 1874161], 'euler41': [1, -20, 125, 160, -5156, 6560, 210125, -1378420, 2825761], 'euler43': [1, 10, 29, -510, -5104, -21930, 53621, 795070, 3418801], 'euler47': [1, 0, -60, 0, 2246, 0, -132540, 0, 4879681], 'euler5': [1, 8, 26, 40, 25, 0, 0, 0, 0], 'euler53': [1, 4, 8, 124, 1438, 6572, 22472, 595508, 7890481], 'euler59': [1, 8, 65, -472, -3068, -27848, 226265, 1643032, 12117361], 'euler61': [1, -18, 121, -1458, 17724, -88938, 450241, -4085658, 13845841], 'euler67': [1, -28, 457, -5404, 49912, -362068, 2051473, -8421364, 20151121], 'euler7': [1, 12, 73, 300, 912, 2100, 3577, 4116, 2401], 'euler71': [1, 8, 17, -688, -8612, -48848, 85697, 2863288, 25411681], 'euler73': [1, 32, 580, 7520, 74278, 548960, 3090820, 12448544, 28398241], 'euler79': [1, 0, -260, 0, 28614, 0, -1622660, 0, 38950081], 'euler83': [1, 0, -204, 0, 21110, 0, -1405356, 0, 47458321], 'euler89': [1, 28, 197, -2408, -48788, -214312, 1560437, 19739132, 62742241], 'euler97': [1, -12, -83, -396, 28152, -38412, -780947, -10952076, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 5, 10, 16, 30, 45, 54, 81], [1, 8, 26, 40, 25, 0, 0, 0, 0], [1, 12, 73, 300, 912, 2100, 3577, 4116, 2401], [1, 8, 41, 152, 532, 1672, 4961, 10648, 14641], [1, 8, 42, 104, 169, 0, 0, 0, 0], [1, -6, 9, 102, -688, 1734, 2601, -29478, 83521], [1, 8, 41, 168, 644, 3192, 14801, 54872, 130321], [1, 14, 53, -226, -2552, -5198, 28037, 170338, 279841], [1, 6, 73, 366, 3228, 10614, 61393, 146334, 707281], [1, 0, 0, 0, -1858, 0, 0, 0, 923521], [1, 12, 109, 732, 4128, 27084, 149221, 607836, 1874161], [1, -20, 125, 160, -5156, 6560, 210125, -1378420, 2825761], [1, 10, 29, -510, -5104, -21930, 53621, 795070, 3418801], [1, 0, -60, 0, 2246, 0, -132540, 0, 4879681], [1, 4, 8, 124, 1438, 6572, 22472, 595508, 7890481], [1, 8, 65, -472, -3068, -27848, 226265, 1643032, 12117361], [1, -18, 121, -1458, 17724, -88938, 450241, -4085658, 13845841], [1, -28, 457, -5404, 49912, -362068, 2051473, -8421364, 20151121], [1, 8, 17, -688, -8612, -48848, 85697, 2863288, 25411681], [1, 32, 580, 7520, 74278, 548960, 3090820, 12448544, 28398241], [1, 0, -260, 0, 28614, 0, -1622660, 0, 38950081], [1, 0, -204, 0, 21110, 0, -1405356, 0, 47458321], [1, 28, 197, -2408, -48788, -214312, 1560437, 19739132, 62742241], [1, -12, -83, -396, 28152, -38412, -780947, -10952076, 88529281]], 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/bk/a'], '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': '8-260e4-1.1-c1e4-0-11', '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': 4, 'prelabel': '8-260e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 222427393334360797, 'z1': {'__RealLiteral__': 0, 'data': '2.47883410443463153285438854720', 'prec': 103}}
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{'Lhash': '3142295540352766147466517598159,3469637728078080953670659643445,3554798794649470234103079566131,4098953837646566227086152986534', 'Lhash_array': ['3142295540352766147466517598159', '3469637728078080953670659643445', '3554798794649470234103079566131', '4098953837646566227086152986534'], 'label': '8-260e4-1.1-c1e4-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/bk/a'}