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lfunc_lfunctions • Show schema
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{'Lhash': '1201721173468281340075507685863', 'a10': [0.8870168643961805, -1.1014540763358078], 'a2': [1.1014540763358078, 0.8870168643961805], 'a3': [-1.0, 0.0], 'a4': [0.42640216455353563, 1.9540166821355593], 'a5': [0.0, -1.0], 'a6': [-1.1014540763358078, -0.8870168643961805], 'a7': [0.3919479059571065, 2.616558204782733], 'a8': [-1.2635833480598082, 2.530485550740404], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.3537168848937777, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.1014540763358078, -0.8870168643961805]]], [3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [0, 1.0]]], [7, [[1.0, 0], [-0.3919479059571065, -2.616558204782733]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '420.391', 'coefficient_field': 'CDF', 'conductor': 420, 'conductor_radical': 210, 'conjugate': '2729862877528722501678705844303', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.1014540763358078, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.3537168848937777, 'bad_primes': [2, 3, 5, 7], 'central_character': '28.27', 'conductor': 420, 'conductor_radical': 210, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/420/2/c/a/391/14'], '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': '2-420-28.27-c1-0-9', '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': '2-420-28.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8313156158602968, 'root_angle': -0.3078591678201052, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.947990852725444972876303665244', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1201721173468281340075507685863', 'Lhash_array': ['1201721173468281340075507685863'], 'label': '2-420-28.27-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/420/2/c/a/391/14'}