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lfunc_lfunctions • Show schema
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{'Lhash': '1891868880402936157390135587789', 'a10': [-0.7546698105998622, 5.006895668074287], 'a2': [-0.2107780624447848, 1.3984178947625143], 'a3': [1.6932178521529526, -0.3647098917640456], 'a4': [-1.9111452167840448, -0.5895116286923155], 'a5': [3.580400169953904, 0.0], 'a6': [0.1531236608660216, 2.4446989885225108], 'a7': [0.0, 4.345591537475001], 'a8': [1.227211096578288, -2.548323551756157], 'a9': [2.7339733896989165, -1.2350665991833063], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.4077421915746795, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.2107780624447848, -1.3984178947625143]]], [3, [[1.0, 0], [-1.6932178521529526, 0.3647098917640456]]], [23, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 23], 'central_character': '552.323', 'coefficient_field': 'CDF', 'conductor': 552, 'conductor_radical': 138, 'conjugate': '2388953453274071783336269115270', 'degree': 2, 'euler_factors': [[[1.0, 0], 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103}, 'z2': {'__RealLiteral__': 0, 'data': '2.33456159492231074530911989678', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.80159112694604155920535312041', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.4077421915746795, 'bad_primes': [2, 3, 23], 'central_character': '24.11', 'conductor': 552, 'conductor_radical': 138, 'degree': 2, 'index': 45, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/552/2/j/d/323/22'], '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': '2-552-24.11-c1-0-45', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-552-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0994623577417815, 'root_angle': -0.21233650617511807, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.49242139755412233863612330513', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1891868880402936157390135587789', 'Lhash_array': ['1891868880402936157390135587789'], 'label': '2-552-24.11-c1-0-45', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/552/2/j/d/323/22'}