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lfunc_lfunctions • Show schema
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{'Lhash': '662239770622669161361989414932', 'a10': [1.519698782937411, 2.7731778899195327], 'a2': [-1.4120150411202068, 0.0788259072278957], 'a3': [-1.63308664290884, 1.63308664290884], 'a4': [1.9875729526993984, -0.22260673327146951], 'a5': [-0.9636196382012239, -2.017780263773274], 'a6': [2.1772133670307383, -2.434672439448834], 'a7': [3.04755706888302, 3.04755706888302], 'a8': [-2.78893572683009, 0.4709962968121065], 'a9': [0.0, -2.3339439664945303], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4120150411202068, -0.0788259072278957]]], [5, [[1.0, 0], [0.9636196382012239, 2.017780263773274]]], [13, [[1.0, 0], [-0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.183', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '2355736826536197619323198854747', 'degree': 2, 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[[1.0, 0], [6.43106211156897, 0], [61.0, 0]], [[1.0, 0], [-7.4090480248473085, -7.4090480248473085], [0, 67.0]], [[1.0, 0], [0, 0.618857817522128], [-71.0, 0]], [[1.0, 0], [11.536328496524977, 11.536328496524977], [0, 73.0]], [[1.0, 0], [-2.69513678904964, 0], [79.0, 0]], [[1.0, 0], [-5.933752013291578, 5.933752013291578], [0, -83.0]], [[1.0, 0], [0, -12.743664001486167], [-89.0, 0]], [[1.0, 0], [-8.152122005712398, 8.152122005712398], [0, -97.0]], [[1.0, 0], [4.180126913034465, 0], [101.0, 0]], [[1.0, 0], [3.4696483421069626, -3.4696483421069626], [0, -103.0]], [[1.0, 0], [9.434079919670276, 9.434079919670276], [0, 107.0]], [[1.0, 0], [0, -10.20081750958119], [-109.0, 0]], [[1.0, 0], [-9.507141206092355, -9.507141206092355], [0, 113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 3, 'label': '2-260-20.3-c1-0-3', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': 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'-0.7095762849242422 - 0.7046286226609806*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.375556808769', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.52241506492675401546837511837', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.17595870875327261197273031389', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.20061917964375469934322567879', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '20.3', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/2'], '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': '2-260-20.3-c1-0-3', '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': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.37555680876867037, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.52241506492675401546837511837', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '662239770622669161361989414932', 'Lhash_array': ['662239770622669161361989414932'], 'label': '2-260-20.3-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/2'}