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lfunc_lfunctions • Show schema
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{'Lhash': '3329399192869492223264198303637', 'a10': [-0.2296223903926633, 3.1539298593707437], 'a2': [-0.7028292718314623, -1.227204552899335], 'a3': [1.6342268616692284, -1.6342268616692284], 'a4': [-1.012062029313713, 1.7250305646049897], 'a5': [-1.8545658727545302, -1.2492339347032755], 'a6': [-3.1541131203052686, -0.856948169916469], 'a7': [1.8018087791520718, -1.8018087791520718], 'a8': [2.8282721818845826, 0.029605154581987543], 'a9': [0.0, -2.341394870802511], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7028292718314623, 1.227204552899335]]], [5, [[1.0, 0], [1.8545658727545302, 1.2492339347032755]]], [13, [[1.0, 0], [1.9159280828484466, 3.0543771183913546]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.103', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '1220683155368754384193934566740', 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'root_angle': 0.8554584962489453, 'root_number': '-0.8986603360349914 + 0.4386451874094555*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.427729248124', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.62643286112913370868709588654', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.20498929568939586091839162677', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.09386478664477996570842959744', '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': '260.103', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 33, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/p/d/103/10'], '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': '2-260-260.103-c1-0-33', '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': '2-260-260.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.42772924812447266, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.62643286112913370868709588654', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3329399192869492223264198303637', 'Lhash_array': ['3329399192869492223264198303637'], 'label': '2-260-260.103-c1-0-33', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/p/d/103/10'}