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  • lfunc_lfunctions • Show schema
    {'Lhash': '1466399835838571111506751207417', 'a10': [-1.56520827311043, -3.427328045576376], 'a2': [0.5323913818232875, 0.030443240663551245], 'a3': [-0.448204068742645, 1.3794302836642043], 'a4': [-7.665340090250791, -0.8795158411962312], 'a5': [-3.297292349578336, -6.249063930460776], 'a6': [-0.28061431160089667, 0.72075201051776], 'a7': [17.880079441236678, 7.556184668059738], 'a8': [-8.257792458161415, -1.42906722949875], 'a9': [20.141517827871134, 14.63366928052654], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.139231110694618, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[11, [[1.0, 0], [-36.30619972655864, -3.5860648927806227]]]], 'bad_primes': [11], 'central_character': '121.4', 'coefficient_field': 'CDF', 'conductor': 121, 'conductor_radical': 11, 'conjugate': '1641834129792646835177587759580', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5323913818232875, -0.030443240663551245], [7.947853882788402, 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'root_angle': -0.03808278021995251, 'root_number': '0.9715085928161987 - 0.23700433347154085*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.03808278022', 'prec': 34}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15678550191555831610421666161', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.69372551545665909197737137520', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.58301550189430792981637332014', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.139231110694618, 'bad_primes': [11], 'central_character': '121.4', 'conductor': 121, 'conductor_radical': 11, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/121/4/g/a/4/18'], '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': '2-11e2-121.4-c3-0-14', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-11e2-121.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.671933964508595, 'root_angle': -0.03808278021995251, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.15678550191555831610421666161', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1466399835838571111506751207417', 'Lhash_array': ['1466399835838571111506751207417'], 'factors': ['2-11e2-121.4-c3-0-14'], 'label': '2-11e2-121.4-c3-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/121/4/g/a/4/18'}