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lfunc_lfunctions • Show schema
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{'Lhash': '2277923045560020056065765976678', 'a10': [0.5032049646681285, 1.382544277783144], 'a2': [0.4694422826732386, -0.39390884625013495], 'a3': [1.72885254966475, -0.10520865704728423], 'a4': [-0.2820844777265123, 1.5997805701267258], 'a5': [-0.8211390008134782, 2.256060862968562], 'a6': [0.770153866607047, -0.7303997052963088], 'a7': [-0.6768939380893507, -1.1724146921061376], 'a8': [1.1105587152238092, 1.9235441195560534], 'a9': [2.977862276964614, -0.3637805099660032], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.72885254966475, 0.10520865704728423]]], [19, [[1.0, 0], [0.15479840924338345, 4.356149383629505]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3603935966496008833267783116001', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.110', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/12'], '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': '2-171-171.110-c1-0-8', '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': '2-171-171.110-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': -0.06139224287097956, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79696443574428153813439414368', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2277923045560020056065765976678', 'Lhash_array': ['2277923045560020056065765976678'], 'label': '2-171-171.110-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/12'}