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lfunc_lfunctions • Show schema
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{'Lhash': '1999384203747479223271918277783', 'a10': [-5.541461343294258, 0.4520721500897918], 'a2': [0.5449304892697735, 1.305009870408728], 'a3': [0.5877852522924731, -0.8090169943749475], 'a4': [-1.4061015237284107, 1.4222793343674238], 'a5': [-1.214876311533401, 3.7390048237105424], 'a6': [1.3760772681050035, 0.32620752935006025], 'a7': [1.214228645678301, -0.8821887498076384], 'a8': [-2.6223161611161405, -1.0599329937072004], 'a9': [-0.30901699437494745, -0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5449304892697735, -1.305009870408728]]], [3, [[1.0, 0], [-0.5877852522924731, 0.8090169943749475]]], [11, [[1.0, 0], [-3.296226395212736, 0.36727585205516766]]]], 'bad_primes': [2, 3, 11], 'central_character': '132.127', 'coefficient_field': 'CDF', 'conductor': 132, 'conductor_radical': 66, 'conjugate': 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0, 'data': '-0.247070154795', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.57723603285282836412090425069', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.92829026168389714409134524330', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.54765142537146461128520739684', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'bad_primes': [2, 3, 11], 'central_character': '44.39', 'conductor': 132, 'conductor_radical': 66, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/132/2/j/a/127/7'], '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': '2-132-44.39-c1-0-2', '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': '2-132-44.39-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0266573462849724, 'root_angle': -0.24707015479455335, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.57723603285282836412090425069', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1999384203747479223271918277783', 'Lhash_array': ['1999384203747479223271918277783'], 'label': '2-132-44.39-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/132/2/j/a/127/7'}