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lfunc_lfunctions • Show schema
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{'Lhash': '972434629485462967746259371316', 'a10': [303.655592839302, 0.0], 'a2': [-3.9292270639236904, 0.0], 'a3': [9.0, 0.0], 'a4': [-16.561174680129614, 0.0], 'a5': [-77.281253513528, 0.0], 'a6': [-35.36304357531321, 0.0], 'a7': [-239.3972291195363, 0.0], 'a8': [190.80788180909116, 0.0], 'a9': [81.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 139.05277177785425, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-9.0, 0]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 17], 'central_character': '867.1', 'coefficient_field': 'CDF', 'conductor': 867, 'conductor_radical': 51, 'degree': 2, 'euler_factors': [[[1.0, 0], [3.9292270639236904, 0], [32.0, 0]], [[1.0, 0], [-9.0, 0]], [[1.0, 0], [77.281253513528, 0], [3125.0, 0]], [[1.0, 0], [239.3972291195363, 0], [16807.0, 0]], [[1.0, 0], [-190.67764221664083, 0], [161051.0, 0]], [[1.0, 0], [743.505432521824, 0], [371293.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 139.05277177785425, 'bad_primes': [3, 17], 'central_character': '1.1', 'conductor': 867, 'conductor_radical': 51, 'degree': 2, 'index': 84, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/867/6/a/u/1/11'], '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': '2-867-1.1-c5-0-84', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-867-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.792063932062709, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76711566208416153418776748461', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '972434629485462967746259371316', 'Lhash_array': ['972434629485462967746259371316'], 'label': '2-867-1.1-c5-0-84', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/867/6/a/u/1/11'}