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lfunc_lfunctions • Show schema
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{'Lhash': '1872352585185767017365226977185', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-32534.029303394804, 0], 'a4': [0, 0], 'a5': [5766566.515880462, 0], 'a6': [0, 0], 'a7': [136126835.8320927, 0], 'a8': [0, 0], 'a9': [-103798404.28584832, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.22134289804184, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '9.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '32.1', 'coefficient_field': 'CDF', 'conductor': 32, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [32534.029303394804, 0], [1162261467.0, 0]], [[1.0, 0], [-5766566.515880462, 0], [19073486328125.0, 0]], [[1.0, 0], [-136126835.8320927, 0], [11398895185373144, 0]], [[1.0, 0], [9464558732.313677, 0], [61159090448414550000, 0]], [[1.0, 0], [24536913557.071365, 0], [1461920290375446000000, 0]], [[1.0, 0], [657422031289.4044, 0], [239072435685151320000000, 0]], [[1.0, 0], 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'primitive': True, 'rational': False, 'root_analytic_conductor': 8.556947054764441, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c19-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47702575524254578765710734117', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.58190181630710700272865188455', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.09599786646884192619486263866', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 73.22134289804184, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 32, 'conductor_radical': 2, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/32/20/a/c/1/2'], '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': '2-2e5-1.1-c19-0-14', 'motivic_weight': 19, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [19], 'order_of_vanishing': 1, 'prelabel': '2-2e5-1.1-c19-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.556947054764441, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c19-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47702575524254578765710734117', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1872352585185767017365226977185', 'Lhash_array': ['1872352585185767017365226977185'], 'label': '2-2e5-1.1-c19-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/32/20/a/c/1/2'}