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  • lfunc_lfunctions • Show schema
    {'Lhash': '969766149372086836875994728491', 'a10': [4.724236690204983, 0.0], 'a2': [-0.9448473380409967, 0.0], 'a3': [7.138770651666859, 0.0], 'a4': [-7.1072635077968425, 0.0], 'a5': [-5.0, 0.0], 'a6': [-6.745048447112623, 0.0], 'a7': [21.663257194061252, 0.0], 'a8': [14.274057710425737, 0.0], 'a9': [23.962046417100073, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 85.25775995829522, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[5, [[1.0, 0], [5.0, 0]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 17], 'central_character': '1445.1', 'coefficient_field': 'CDF', 'conductor': 1445, 'conductor_radical': 85, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9448473380409967, 0], [8.0, 0]], [[1.0, 0], [-7.138770651666859, 0], [27.0, 0]], [[1.0, 0], [5.0, 0]], [[1.0, 0], [-21.663257194061252, 0], [343.0, 0]], [[1.0, 0], [55.23773637088521, 0], [1331.0, 0]], [[1.0, 0], [-24.718545818856043, 0], [2197.0, 0]], [[1.0, 0], [0, 0]], 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'1.99397435264505536605033633970367', '3.05301811769733971145541101855570', '3.96710931737245562281928613709091', '4.83249114137601125677336081963734', '5.58527684055799827844728879509184', '7.31208602048067169993526242804313', '7.978282948654712695632550226827650', '8.257938266072819336868675840662047', '8.857652223719906128586193397814834'], 'prelabel': '2-1445-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.233512872049035, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.76501060244635937137648952807', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.99397435264505536605033633970', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.05301811769733971145541101856', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 85.25775995829522, 'bad_primes': [5, 17], 'central_character': '1.1', 'conductor': 1445, 'conductor_radical': 85, 'degree': 2, 'index': 94, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1445/4/a/r/1/3'], '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': '2-1445-1.1-c3-0-94', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-1445-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.233512872049035, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76501060244635937137648952807', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '969766149372086836875994728491', 'Lhash_array': ['969766149372086836875994728491'], 'factors': ['2-1445-1.1-c3-0-94'], 'label': '2-1445-1.1-c3-0-94', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1445/4/a/r/1/3'}