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  • lfunc_lfunctions • Show schema
    {'Lhash': '1314399976851615751323575404826', 'a10': [211916.55483486154, -367050.2399389362], 'a2': [-16.0, -27.712812921102035], 'a3': [265.1746853903925, -459.29602797725227], 'a4': [-512.0, 886.8100134752651], 'a5': [6622.392338589423, 11470.319998091756], 'a6': [-16971.17986498512, 6.103169294452102e-60], 'a7': [4344.6368971764805, 44254.388180514856], 'a8': [32768.0, 0.0], 'a9': [-52061.72754378725, -90173.55723564757], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.756804527834246, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [16.0, 27.712812921102035]]], [7, [[1.0, 0], [-4344.6368971764805, -44254.388180514856]]]], 'bad_primes': [2, 7], 'central_character': '14.11', 'coefficient_field': 'CDF', 'conductor': 14, 'conductor_radical': 14, 'conjugate': '2511629748029413054163802214275', 'degree': 2, 'euler_factors': [[[1.0, 0], [16.0, 27.712812921102035]], [[1.0, 0], [-265.1746853903925, 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{'__RealLiteral__': 0, 'data': '1.03687875556164256421848047273', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.14005260317639810023622168779', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.62387379605224122958712243577', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.756804527834246, 'bad_primes': [2, 7], 'central_character': '7.4', 'conductor': 14, 'conductor_radical': 14, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/14/12/c/a/11/4'], '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': '2-14-7.4-c11-0-3', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-14-7.4-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.2797567787618407, 'root_angle': -0.005488514421482656, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '1.03687875556164256421848047273', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1314399976851615751323575404826', 'Lhash_array': ['1314399976851615751323575404826'], 'factors': ['2-14-7.4-c11-0-3'], 'label': '2-14-7.4-c11-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/14/12/c/a/11/4'}