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lfunc_lfunctions • Show schema
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{'Lhash': '202340051697934992692876182502', 'a10': [0, -5864.171541095856], 'a2': [-17.531087214434677, 12.737080423457831], 'a3': [0, 0], 'a4': [105.55162592648904, -324.854501436036], 'a5': [-159.0648226380309, 218.9339460619396], 'a6': [0, 0], 'a7': [-1136.60394608944, -369.3050089005035], 'a8': [1430.1393805799817, 4401.516427477023], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 30.926117522928067, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-4216.263223560689, 1307.7826385334931]]]], 'bad_primes': [3, 11], 'central_character': '99.8', 'coefficient_field': 'CDF', 'conductor': 99, 'conductor_radical': 33, 'conjugate': '1666593303216877897005141162971', 'degree': 2, 'euler_factors': [[[1.0, 0], [17.531087214434677, -12.737080423457831], [39.554175279993274, -121.73523408577965]], [[1.0, 0], [0, 0]], [[1.0, 0], [159.0648226380309, -218.9339460619396], 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{'__RealLiteral__': 0, 'data': '1.12382560307438628053844880762682', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '2.85218755554143003887214421008820', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 30.926117522928067, 'bad_primes': [3, 11], 'central_character': '33.8', 'conductor': 99, 'conductor_radical': 33, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/99/8/j/a/8/1'], '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': '2-99-33.8-c7-0-2', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-99-33.8-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.561125562593248, 'root_angle': 0.34310835775718945, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.15961815634489932509973379907402', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '202340051697934992692876182502', 'Lhash_array': ['202340051697934992692876182502'], 'label': '2-99-33.8-c7-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/99/8/j/a/8/1'}