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lfunc_lfunctions • Show schema
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{'Lhash': '2662741976812651503686082845087', 'a10': [-0.685688878640297, -1.8839147108353769], 'a2': [-2.0245022466816556, 1.6987590885081518], 'a3': [1.4399500335996478, -0.96257150422001], 'a4': [0.8655305506961628, -4.908667676486853], 'a5': [-0.2594554567928218, 0.7128480088925622], 'a6': [-1.2800049869991075, 4.394856379460172], 'a7': [-1.6302888095148795, -2.8237430490907505], 'a8': [3.9435752933544332, 6.830472771563218], 'a9': [1.1469121985272543, -2.7721097396873344], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.4399500335996478, 0.96257150422001]]], [19, [[1.0, 0], [-4.310291209729094, -0.6491453514676825]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '1240208879010765291879832261732', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '0.0498329796604', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.10053304619841469228837333858', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.10862024862813767704617679355', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.67491538701041632795290641872', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.110', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/1'], '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': '2-171-171.110-c1-0-10', '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': '2-171-171.110-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': 0.04983297966042984, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.10053304619841469228837333858', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2662741976812651503686082845087', 'Lhash_array': ['2662741976812651503686082845087'], 'label': '2-171-171.110-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/1'}