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lfunc_lfunctions • Show schema
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{'Lhash': '3124424526889614931169087027887', 'a10': [3.156309988172106, 1.82229642131707], 'a2': [0.47142994277098066, -1.2952431226180543], 'a3': [1.3774617585047613, -1.0500471912523603], 'a4': [0.07668033048963828, 0.06434243703240743], 'a5': [-0.4591491338906164, 2.6039641355270704], 'a6': [-0.7106896849129104, -2.279171556651592], 'a7': [-1.47151506117002, -2.198782259513159], 'a8': [2.5068935403334924, -1.4473556603412758], 'a9': [0.7948017922860582, -2.892799701150923], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.3774617585047613, 1.0500471912523603]]], [7, [[1.0, 0], [1.47151506117002, 2.198782259513159]]]], 'bad_primes': [3, 7], 'central_character': '189.104', 'coefficient_field': 'CDF', 'conductor': 189, 'conductor_radical': 21, 'conjugate': '2492570674831257959162250441879', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.19699763834', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.46473636057687317526411836033', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.38449105016546942929354790308', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.18554970005878221483771185525', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5091725982022, 'bad_primes': [3, 7], 'central_character': '189.104', 'conductor': 189, 'conductor_radical': 21, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/189/2/be/a/104/16'], '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': '2-189-189.104-c1-0-17', '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': '2-189-189.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2284838615961546, 'root_angle': 0.1969976383398533, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.46473636057687317526411836033', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3124424526889614931169087027887', 'Lhash_array': ['3124424526889614931169087027887'], 'factors': ['2-189-189.104-c1-0-17'], 'label': '2-189-189.104-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/189/2/be/a/104/16'}