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'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c5e4-0', 'trace_hash': 516718329636877825, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11318291294161122895451000317', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.13347534732436320568214951797', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.42721347099846571737991193663', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 406.70015344818756, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 614656, 'conductor_radical': 14, 'degree': 8, 'dirichlet_coefficients': [1, 0, -28, 0, -42, 0, 112, 0, 573, 0, -660, 0, -1288, 0, 1176, 0, 210, 0, -3724, 0, -3136, 0, -24, 0, 2767, 0, -12572, 0, 11064, 0, -2800, 0, 18480, 0, -4704, 0, 13238, 0, 36064, 0, 8232, 0, 26864, 0, -24066, 0, -8064, 0, -24206, 0, -5880, 0, 53958, 0, 27720, 0, 104272, 0, -36036, 0, -83986, 0, 64176, 0, 54096, 0, 2660, 0, 672, 0, 143136, 0, -31318, 0, -77476, 0, -73920, 0, -51136, 0, 220553, 0, 12432, 0, -8820, 0, -309792, 0, -166278, 0, -144256, 0, 78400, 0, 156408, 0, 16520, 0, -378180, 0], 'euler11': [1, 660, 52667, 40148460, 50546442288, 6465949631460, 1366046341460867, 2756983791814329660, 672749994932560009201], 'euler13': [1, 1288, 1605004, 1244757976, 937878608950, 462169923182968, 221263430851612396, 65927430202148895016, 19004963774880799438801], 'euler17': [1, -210, -2743855, 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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': '8-28e4-1.1-c5e4-0-0', 'motivic_weight': 5, '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': [5, 5, 5, 5], 'order_of_vanishing': 0, 'prelabel': '8-28e4-1.1-c5e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.1191382575857243, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5e4-0', 'trace_hash': 516718329636877825, 'z1': {'__RealLiteral__': 0, 'data': '0.11318291294161122895451000317', 'prec': 103}}
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{'Lhash': '143476387526012907831239372637,1436850704379629812432007451119,3076858613393249143506791208193,3299591708747694476835676022174', 'Lhash_array': ['143476387526012907831239372637', '1436850704379629812432007451119', '3076858613393249143506791208193', '3299591708747694476835676022174'], 'factors': ['2-28-7.2-c5-0-0', '2-28-7.4-c5-0-0', '2-28-7.2-c5-0-2', '2-28-7.4-c5-0-1'], 'label': '8-28e4-1.1-c5e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/28/6/e/b'}