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  • lfunc_lfunctions • Show schema
    {'Lhash': '780013518727004141121252206828', 'a10': [-2.892195168251363, -7.946240917426382], 'a2': [-1.8090107729554707, 1.5179402723826616], 'a3': [-0.41912217943170904, 1.6805762698278273], 'a4': [0.6210809508139397, -3.522325104861977], 'a5': [-1.2247301509624846, 3.364918434694677], 'a6': [-1.7928178630057523, -3.6763830121000427], 'a7': [0.8509116091158505, 1.4738221397388418], 'a8': [1.8616411486979416, 3.2244570550057223], 'a9': [-2.6486731974168287, -1.4087335778229018], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [0.41912217943170904, -1.6805762698278273]]], [19, [[1.0, 0], [3.8851995044347882, 1.9761641659385676]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3960202287207590316513106826783', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.61532217046761113072306906505', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.79787074278136269155466358964', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.90031484082019796371676300379', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.110', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/3'], '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-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], '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': 0.36629271246483214, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61532217046761113072306906505', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '780013518727004141121252206828', 'Lhash_array': ['780013518727004141121252206828'], 'factors': ['2-171-171.110-c1-0-1'], 'label': '2-171-171.110-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/3'}