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lfunc_lfunctions • Show schema
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{'Lhash': '2043196286736596950326023128574', 'a10': [0, 38.64029738920838], 'a2': [-2.0, 0], 'a3': [2.9914207157978114, 4.248694164222192], 'a4': [4.0, 0], 'a5': [0, -19.32014869460419], 'a6': [-5.982841431595623, -8.497388328444384], 'a7': [6.859764682973394, 0], 'a8': [-8.0, 0], 'a9': [-9.10280420219142, 25.419263475887067], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 20.886676142032186, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.0, 0]]], [3, [[1.0, 0], [-2.9914207157978114, -4.248694164222192]]], [59, [[1.0, 0], [-359.5799590126833, -275.8283036173718]]]], 'bad_primes': [2, 3, 59], 'central_character': '354.353', 'coefficient_field': 'CDF', 'conductor': 354, 'conductor_radical': 354, 'conjugate': '638925003497454858868859994646', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.0, 0]], [[1.0, 0], [-2.9914207157978114, -4.248694164222192]], [[1.0, 0], [0, 19.32014869460419], [-125.0, 0]], [[1.0, 0], 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'data': '0.25650736682716246', 'prec': 64}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.61179767229924186699662177754', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.66816855649253083141515286276', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.72018079644094806969368308834', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 20.886676142032186, 'bad_primes': [2, 3, 59], 'central_character': '177.176', 'conductor': 354, 'conductor_radical': 354, 'degree': 2, 'index': 47, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/354/4/c/a/353/20'], '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': '2-354-177.176-c3-0-47', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-354-177.176-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.570194322130317, 'root_angle': 0.2565073668271624, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.61179767229924186699662177754', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2043196286736596950326023128574', 'Lhash_array': ['2043196286736596950326023128574'], 'label': '2-354-177.176-c3-0-47', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/354/4/c/a/353/20'}