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  • lfunc_lfunctions • Show schema
    {'Lhash': '336338067220281644362809298167', 'a10': [1.0, 5.034525116044599e-61], 'a2': [-0.8090169943749475, -0.5877852522924731], 'a3': [-0.9270509831248422, 2.853169548885461], 'a4': [-0.30901699437494745, -0.9510565162951535], 'a5': [-0.8090169943749475, 0.5877852522924731], 'a6': [2.4270509831248424, -1.7633557568774194], 'a7': [0.9270509831248422, 2.853169548885461], 'a8': [-0.9270509831248422, 2.853169548885461], 'a9': [-4.854101966249685, -3.526711513754839], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [0.8090169943749475, -0.5877852522924731]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '605.81', 'coefficient_field': 'CDF', 'conductor': 605, 'conductor_radical': 55, 'conjugate': '2653475617688213323457084909881', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8090169943749475, 0.5877852522924731], 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{'__RealLiteral__': 0, 'data': '3.31137189273840002909054879842', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'bad_primes': [5, 11], 'central_character': '11.4', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/2/g/b/81/1'], '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': '2-605-11.4-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-605-11.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979420652709356, 'root_angle': 0.46106660703256497, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.26532395216767689579197965999', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '336338067220281644362809298167', 'Lhash_array': ['336338067220281644362809298167'], 'factors': ['2-605-11.4-c1-0-0'], 'label': '2-605-11.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/605/2/g/b/81/1'}