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  • lfunc_lfunctions • Show schema
    {'Lhash': '3114662027202143789829026371270', 'a10': [3.819598670499489, -2.43365113158594], 'a2': [0.8608563200625808, -1.1220188929818924], 'a3': [1.597340666140152, 0.6697035137244955], 'a4': [-0.5178527924166227, -1.9317941105061653], 'a5': [3.0093641020841515, 1.0953189572278683], 'a6': [2.126500802834965, -1.2157279035796826], 'a7': [-4.586137249815313, -0.8086597343745574], 'a8': [-2.6133063385529725, -1.0819565522140233], 'a9': [2.102994407410129, 2.139489313458172], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8608563200625808, 1.1220188929818924]]], [3, [[1.0, 0], [-1.597340666140152, -0.6697035137244955]]]], 'bad_primes': [2, 3], 'central_character': '216.11', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '2803260174378386328726007502974', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.45703510623619484586395576517', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.61008822627537983102100157132', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.34616452591745069160582979217', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'bad_primes': [2, 3], 'central_character': '216.11', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/2/v/b/11/24'], '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': '2-6e3-216.11-c1-0-25', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6e3-216.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3133044900782367, 'root_angle': 0.12239742300843565, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.45703510623619484586395576517', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3114662027202143789829026371270', 'Lhash_array': ['3114662027202143789829026371270'], 'factors': ['2-6e3-216.11-c1-0-25'], 'label': '2-6e3-216.11-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/2/v/b/11/24'}