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lfunc_lfunctions • Show schema
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{'Lhash': '1003709122541397878567553432100', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.9575869857265658, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [3.9575869857265658, 0.0], 'a8': [0.0, 0.0], 'a9': [5.747320778139154, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.46236985957799, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '9200.1', 'coefficient_field': 'CDF', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.9575869857265658, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.9575869857265658, 0], [7.0, 0]], [[1.0, 0], [-0.9575869857265659, 0], [11.0, 0]], [[1.0, 0], [-2.7473207781391538, 0], [13.0, 0]], [[1.0, 0], [5.747320778139154, 0], [17.0, 0]], [[1.0, 0], [-6.747320778139154, 0], [19.0, 0]], [[1.0, 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'4.97117943518970933271121890751144', '5.63154062862686269885341364263095', '6.21744034304551447475109766317467', '7.04461633411761207641521195175946', '7.39626459211989044649129353884872'], 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.791786886986594595732976553433', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.33831345209893637612313925070', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.39726588774013309314386967935', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 73.46236985957799, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'index': 70, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9200/2/a/ce/1/1'], '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': '2-9200-1.1-c1-0-70', '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': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.791786886986594595732976553433', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1003709122541397878567553432100', 'Lhash_array': ['1003709122541397878567553432100'], 'label': '2-9200-1.1-c1-0-70', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9200/2/a/ce/1/1'}