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lfunc_lfunctions • Show schema
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{'Lhash': '4664006003162322887859421511548', 'a10': [-794.9755319277825, 9.028998657953067e-59], 'a2': [3.466077006073689, -1.1261966879333245], 'a3': [20.00669089542813, -18.13097679152431], 'a4': [-41.03171680787588, 29.8112872579942], 'a5': [-207.45705373099946, -67.40688287965007], 'a6': [48.9256852686566, -85.37483077769508], 'a7': [-309.3264571314178, 224.73882614320215], 'a8': [-245.74353460671688, 338.2369581053673], 'a9': [71.53536117041345, -725.4816966004163], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.591784759455084, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-20.00669089542813, 18.13097679152431]]], [11, [[1.0, 0], [-1315.44776827437, 202.87476171761574]]]], 'bad_primes': [3, 11], 'central_character': '33.5', 'coefficient_field': 'CDF', 'conductor': 33, 'conductor_radical': 33, 'conjugate': '183127943061714992311023877905', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.466077006073689, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.591784759455084, 'bad_primes': [3, 11], 'central_character': '33.5', 'conductor': 33, 'conductor_radical': 33, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/33/7/h/a/5/13'], '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': '2-33-33.5-c6-0-21', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-33-33.5-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7553193570718957, 'root_angle': -0.48424953282480526, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '3.67925199761086328242904195597', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4664006003162322887859421511548', 'Lhash_array': ['4664006003162322887859421511548'], 'label': '2-33-33.5-c6-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/33/7/h/a/5/13'}