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lfunc_lfunctions • Show schema
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{'Lhash': '2278479526678148337626980137216', 'a10': [0.0714667327636778, -0.061436961840531656], 'a2': [-1.5166266450995132, 1.3037805104288818], 'a3': [0.0, 1.7320508075688772], 'a4': [0.6003127612516095, -3.9546965229557713], 'a5': [-0.04712216615381205, 0.0], 'a6': [-2.2582140859809074, -2.626874405425089], 'a7': [0.0, -2.888052702395568], 'a8': [4.245605922183145, 6.780474198278716], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.5166266450995132, -1.3037805104288818]]], [3, [[1.0, 0], [0, -1.7320508075688772]]], [23, [[1.0, 0], [0, 4.795831523312719]]]], 'bad_primes': [2, 3, 23], 'central_character': '276.139', 'coefficient_field': 'CDF', 'conductor': 276, 'conductor_radical': 138, 'conjugate': '186587077218630075599494375029', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.5166266450995132, -1.3037805104288818]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'bad_primes': [2, 3, 23], 'central_character': '4.3', 'conductor': 276, 'conductor_radical': 138, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/276/3/f/b/139/12'], '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': '2-276-4.3-c2-0-29', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-276-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.742344853650648, 'root_angle': 0.27397627174243416, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79740342194286661512946342816', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2278479526678148337626980137216', 'Lhash_array': ['2278479526678148337626980137216'], 'label': '2-276-4.3-c2-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/276/3/f/b/139/12'}