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  • lfunc_lfunctions • Show schema
    {'Lhash': '191804060126035052218054474110', 'a10': [0, 0], 'a2': [21.25383574884844, 23.922258797215868], 'a3': [0, 94.44074107209354], 'a4': [-120.54893192194397, 1016.8795184349415], 'a5': [0, 0], 'a6': [-2259.2358489274757, 2007.2279987458012], 'a7': [0, 20081.88270057143], 'a8': [-26888.182204357025, 18728.78751401965], 'a9': [50129.946425753784, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.53572526737244, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-21.25383574884844, -23.922258797215868]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '100.51', 'coefficient_field': 'CDF', 'conductor': 100, 'conductor_radical': 10, 'conjugate': '2812585299233519558342384845120', 'degree': 2, 'euler_factors': [[[1.0, 0], [-21.25383574884844, -23.922258797215868]], [[1.0, 0], [0, -94.44074107209354], [-59049.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -20081.88270057143], [-282475249.0, 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0.9930464047216225*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2687798368405002', 'prec': 60}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.15130672449608938696821145466080', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '1.41468283381311766470781332152632', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '2.50933464269373475800905016238520', 'prec': 113}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 63.53572526737244, 'bad_primes': [2, 5], 'central_character': '4.3', 'conductor': 100, 'conductor_radical': 10, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/11/b/h/51/18'], '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': '2-10e2-4.3-c10-0-3', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-10e2-4.3-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.970930012700679, 'root_angle': 0.2687798368405002, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '0.15130672449608938696821145466080', 'prec': 113}}
  • lfunc_instances • Show schema
    {'Lhash': '191804060126035052218054474110', 'Lhash_array': ['191804060126035052218054474110'], 'factors': ['2-10e2-4.3-c10-0-3'], 'label': '2-10e2-4.3-c10-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/11/b/h/51/18'}