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  • lfunc_lfunctions • Show schema
    {'Lhash': '3085792653226908901424222185326', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [11.330422465432418, -11.330422465432418], 'a4': [0.0, 0.0], 'a5': [9.330422465432418, -23.193602924439187], 'a6': [0.0, 0.0], 'a7': [42.854447855304024, 42.854447855304024], 'a8': [0.0, 0.0], 'a9': [0.0, -175.75694649035125], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.269597046707549, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-9.330422465432418, 23.193602924439187]]]], 'bad_primes': [2, 5], 'central_character': '80.17', 'coefficient_field': 'CDF', 'conductor': 80, 'conductor_radical': 10, 'conjugate': '1829622873198560763104539708110', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-11.330422465432418, 11.330422465432418], [0, -81.0]], [[1.0, 0], [-9.330422465432418, 23.193602924439187]], [[1.0, 0], [-42.854447855304024, -42.854447855304024], [0, 2401.0]], [[1.0, 0], 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'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.43426118574892713174599489478', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.75074190092590491427965348022', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.02807165300085912270094546932', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 8.269597046707549, 'bad_primes': [2, 5], 'central_character': '5.2', 'conductor': 80, 'conductor_radical': 10, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/80/5/p/g/17/3'], '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': '2-80-5.2-c4-0-9', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-80-5.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8756907077617977, 'root_angle': 0.222768540759631, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.43426118574892713174599489478', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3085792653226908901424222185326', 'Lhash_array': ['3085792653226908901424222185326'], 'factors': ['2-80-5.2-c4-0-9'], 'label': '2-80-5.2-c4-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/80/5/p/g/17/3'}