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lfunc_lfunctions • Show schema
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{'Lhash': '1257340730696482110081866227805', 'a10': [-2.233569603708181, -4.817985312156888], 'a2': [-0.8653981926852624, -1.1185195430107966], 'a3': [0.2225209339563144, -0.9749279121818236], 'a4': [-0.5021719361941629, 1.935929582009378], 'a5': [3.6609689139361254, 0.8355922645511151], 'a6': [-1.2830451368825146, 0.5948068398414139], 'a7': [-0.94057427811914, 2.4729173110600886], 'a8': [2.5999537573699, -1.1136608368521093], 'a9': [-0.9009688679024191, -0.4338837391175581], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8653981926852624, 1.1185195430107966]]], [3, [[1.0, 0], [-0.2225209339563144, 0.9749279121818236]]], [7, [[1.0, 0], [0.94057427811914, -2.4729173110600886]]]], 'bad_primes': [2, 3, 7], 'central_character': '588.223', 'coefficient_field': 'CDF', 'conductor': 588, 'conductor_radical': 42, 'conjugate': 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50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.991866946988475302584422129976', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.67248599130888984093982877444', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.48171154290420799612368276988', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'bad_primes': [2, 3, 7], 'central_character': '196.27', 'conductor': 588, 'conductor_radical': 42, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/588/2/x/b/223/8'], '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': '2-588-196.27-c1-0-15', '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': '2-588-196.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.166841858293145, 'root_angle': 0.023431424957568375, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.991866946988475302584422129976', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1257340730696482110081866227805', 'Lhash_array': ['1257340730696482110081866227805'], 'label': '2-588-196.27-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/588/2/x/b/223/8'}