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lfunc_lfunctions • Show schema
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{'Lhash': '1260074160132942391543818340756', 'a10': [4.47403947213868, 1.2827869339766111], 'a2': [-1.9225374228691392, -0.551225777397691], 'a3': [0.0, 0.6447037141656755], 'a4': [3.3923002846646226, 2.119504370994389], 'a5': [-2.32715338537429, 0.0], 'a6': [0.35537730603215323, -1.2394670171462399], 'a7': [0.0, 8.629240799493637], 'a8': [-5.353498802278184, -5.944749832752094], 'a9': [8.584357120940982, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.0708500091382565, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.9225374228691392, 0.551225777397691]]], [19, [[1.0, 0], [0, -4.358898943540674]]]], 'bad_primes': [2, 19], 'central_character': '76.39', 'coefficient_field': 'CDF', 'conductor': 76, 'conductor_radical': 38, 'conjugate': '2705504307716707982234681064765', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.9225374228691392, 0.551225777397691]], [[1.0, 0], [0, -0.6447037141656755], [-9.0, 0]], [[1.0, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.06345320599603749332059786030', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.0708500091382565, 'bad_primes': [2, 19], 'central_character': '4.3', 'conductor': 76, 'conductor_radical': 38, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/76/3/b/b/39/1'], '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': '2-76-4.3-c2-0-2', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-76-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4390448252706574, 'root_angle': -0.16111921306420843, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.994023242608079120389770047462', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1260074160132942391543818340756', 'Lhash_array': ['1260074160132942391543818340756'], 'label': '2-76-4.3-c2-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/76/3/b/b/39/1'}