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lfunc_lfunctions • Show schema
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{'Lhash': '3361176223353937695684159643856', 'a10': [-3.7853188626880683, 6.556364593024573], 'a2': [1.8827759562723798, -1.5798366104976047], 'a3': [0.0, 0.0], 'a4': [0.7016652303149536, -3.9793412641430694], 'a5': [-2.8945003338173687, 1.0535119645831086], 'a6': [0.0, 0.0], 'a7': [-0.4616727027722975, -2.6182760058463015], 'a8': [-2.507841132270207, -4.34370825840306], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.821094307351343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '729.325', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '720664426620703521786755083211', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8827759562723798, 1.5798366104976047], [0.3472963553338607, -1.969615506024416]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.8945003338173687, -1.0535119645831086], [3.83022221559489, -3.2139380484326967]], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.76073178127113399390612332865', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.821094307351343, 'bad_primes': [3], 'central_character': '27.22', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 32, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/e/s/325/2'], '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': '2-3e6-27.22-c1-0-32', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3e6-27.22-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': -0.48148148148148145, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.65150051816232905136144995890', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3361176223353937695684159643856', 'Lhash_array': ['3361176223353937695684159643856'], 'label': '2-3e6-27.22-c1-0-32', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/e/s/325/2'}