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  • lfunc_lfunctions • Show schema
    {'Lhash': '3509955179530933725248563580422', 'a10': [-0.2679491924311227, -4.464101615137754], 'a2': [1.7320508075688772, 1.0], 'a3': [0.0, 0.0], 'a4': [1.0, 1.7320508075688772], 'a5': [-1.2320508075688772, -1.8660254037844386], 'a6': [0.0, 0.0], 'a7': [0.0, 4.0], 'a8': [0.0, 0.0], 'a9': [-1.5, -2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.758578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [1.2320508075688772, 1.8660254037844386]]], [19, [[1.0, 0], [-3.5, -2.598076211353316]]]], 'bad_primes': [5, 19], 'central_character': '95.49', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '4101475796050468055628780808583', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7320508075688772, -1.0], [1.0, 1.7320508075688772]], [[1.0, 0], [0, 0], [1.5, 2.598076211353316]], [[1.0, 0], [1.2320508075688772, 1.8660254037844386]], [[1.0, 0], [0, -4.0], [-7.0, 0]], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.758578819202164, 'bad_primes': [5, 19], 'central_character': '95.49', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/2/i/a/49/2'], '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': '2-95-95.49-c1-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-95-95.49-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8709643042066443, 'root_angle': -0.10845490311250659, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.76886642020995138513698274223', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3509955179530933725248563580422', 'Lhash_array': ['3509955179530933725248563580422'], 'factors': ['2-95-95.49-c1-0-5'], 'label': '2-95-95.49-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/2/i/a/49/2'}