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lfunc_lfunctions • Show schema
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{'Lhash': '1101774389888032489501169458432', 'a10': [-2.742958114587287, 0.0], 'a2': [0.6830980224364407, 0.0], 'a3': [0.0, 0.0], 'a4': [-1.533377091743424, 0.0], 'a5': [-4.0154678018300185, 0.0], 'a6': [0.0, 0.0], 'a7': [4.16944953700104, 0.0], 'a8': [-2.4136429038921547, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.4021322673726955, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [103, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 103], 'central_character': '927.1', 'coefficient_field': 'CDF', 'conductor': 927, 'conductor_radical': 309, 'conjugate': '1101774389888032489501169458432', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6830980224364407, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [4.0154678018300185, 0], [5.0, 0]], [[1.0, 0], [-4.16944953700104, 0], [7.0, 0]], [[1.0, 0], [3.8243022300403013, 0], [11.0, 0]], [[1.0, 0], [-5.333987589236348, 0], [13.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.4021322673726955, 'bad_primes': [3, 103], 'central_character': '1.1', 'conductor': 927, 'conductor_radical': 309, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/927/2/a/h/1/9'], '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': '2-927-1.1-c1-0-6', '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': '2-927-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.720685992056543, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.869146742556401305402855334754', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1101774389888032489501169458432', 'Lhash_array': ['1101774389888032489501169458432'], 'label': '2-927-1.1-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/927/2/a/h/1/9'}