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lfunc_lfunctions • Show schema
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{'Lhash': '982178843217613275457801578609', 'a10': [0.4164859280910876, -2.5404517737643437], 'a2': [-1.0307594642955042, 0.7835629736400997], 'a3': [0.46840844069979015, -0.8835120444460229], 'a4': [0.18096580104581828, -0.6517799093829001], 'a5': [-1.4434793504874714, 1.3673362703214016], 'a6': [0.2094708913857616, 1.2777159123046582], 'a7': [0.0, 0.0], 'a8': [-0.15506633866986672, -0.38918716315328844], 'a9': [-0.5611870653623824, -0.8276889981568906], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.1483485940685385, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.46840844069979015, 0.8835120444460229]]], [13, [[1.0, 0], [0.5611870653623824, -0.8276889981568906]]], [59, [[1.0, 0], [0.907575419670957, 0.4198891015602646]]]], 'bad_primes': [3, 13, 59], 'central_character': '2301.1442', 'coefficient_field': 'CDF', 'conductor': 2301, 'conductor_radical': 2301, 'conjugate': '1175116955902441369853414483643', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.1483485940685385, 'bad_primes': [3, 13, 59], 'central_character': '2301.1442', 'conductor': 2301, 'conductor_radical': 2301, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2301/1/z/b/1442/1'], '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': '2-2301-2301.1442-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2301-2301.1442-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0716102808710537, 'root_angle': -0.15811750745629968, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77480249134957263979438344638', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '982178843217613275457801578609', 'Lhash_array': ['982178843217613275457801578609'], 'factors': ['2-2301-2301.1442-c0-0-1'], 'label': '2-2301-2301.1442-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2301/1/z/b/1442/1'}