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lfunc_lfunctions • Show schema
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{'Lhash': '1524397807678336429997357328755', 'a10': [-0.009512468820230623, -0.026135293286849784], 'a2': [-0.2471085065612256, 0.20734865671629288], 'a3': [0.668060302652304, 1.5980286080105424], 'a4': [-0.3292272067609925, 1.8671402722271373], 'a5': [-0.029488964105226907, 0.0810202630022188], 'a6': [-0.49643246894644455, -0.256365056407164], 'a7': [-0.07547518213007272, -0.13072685015980054], 'a8': [-0.6283714296861947, -1.0883712422411835], 'a9': [-2.107390864040224, 2.1351589510291262], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.668060302652304, -1.5980286080105424]]], [19, [[1.0, 0], [-3.1783859824503984, -2.9829285185137806]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3771507100980369465761101242423', 'degree': 2, 'euler_factors': 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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': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/9'], '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-c1-0-5', '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': -0.29248109733737837, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20253783448205833670285456604', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1524397807678336429997357328755', 'Lhash_array': ['1524397807678336429997357328755'], 'label': '2-171-171.110-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/9'}