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lfunc_lfunctions • Show schema
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{'Lhash': '2689965535792003309233846507910', 'a10': [1.1566648382526066, 2.4018392852944186], 'a2': [-0.7818314824680298, -0.6234898018587335], 'a3': [0.0, 0.0], 'a4': [0.2225209339563144, 0.9749279121818236], 'a5': [-2.4018392852944186, -1.1566648382526066], 'a6': [0.0, 0.0], 'a7': [-0.0714044573298595, -2.644787591371645], 'a8': [0.4338837391175581, -0.9009688679024191], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.042805458276933, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7818314824680298, 0.6234898018587335]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.0714044573298595, 2.644787591371645]]]], 'bad_primes': [2, 3, 7], 'central_character': '882.251', 'coefficient_field': 'CDF', 'conductor': 882, 'conductor_radical': 42, 'conjugate': '30073393309714404589374996325', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7818314824680298, 0.6234898018587335]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'data': '3.31942852921972688130670136227', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.54492545909633880784444380795', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.042805458276933, 'bad_primes': [2, 3, 7], 'central_character': '147.104', 'conductor': 882, 'conductor_radical': 42, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/882/2/v/a/251/1'], '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': '2-882-147.104-c1-0-14', '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': '2-882-147.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6538284530611493, 'root_angle': -0.33614017595585954, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.12200864757820376184592541951', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2689965535792003309233846507910', 'Lhash_array': ['2689965535792003309233846507910'], 'label': '2-882-147.104-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/882/2/v/a/251/1'}