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lfunc_lfunctions • Show schema
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{'Lhash': '703306950862845869245746345772', 'a10': [-1.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [-0.8034251238583686, 0.0], 'a4': [1.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.8034251238583686, 0.0], 'a7': [1.0, 0.0], 'a8': [-1.0, 0.0], 'a9': [-2.354508070353165, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 67.63329051202452, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7, 11], 'central_character': '8470.1', 'coefficient_field': 'CDF', 'conductor': 8470, 'conductor_radical': 770, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [0.8034251238583686, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.6431378085819937, 0], [13.0, 0]], [[1.0, 0], [1.6044961266518958, 0], [17.0, 0]], [[1.0, 0], [1.909400064744507, 0], [19.0, 0]], [[1.0, 0], 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'4.27955351905739271939631447235419', '5.22277828190978638381362459152665', '5.96700159643613654514597828497978', '6.22007155745277315136158798336859', '7.17890499014761046249885097539454', '7.85436319763499270042186323355170'], 'prelabel': '2-8470-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.223946164222168, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.55481135790589426225752656456', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.70084507219938601940677700067', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.38188295533834072831087588333', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 67.63329051202452, 'bad_primes': [2, 5, 7, 11], 'central_character': '1.1', 'conductor': 8470, 'conductor_radical': 770, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8470/2/a/cv/1/3'], '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': '2-8470-1.1-c1-0-24', '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': '2-8470-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.223946164222168, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.55481135790589426225752656456', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '703306950862845869245746345772', 'Lhash_array': ['703306950862845869245746345772'], 'label': '2-8470-1.1-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8470/2/a/cv/1/3'}