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lfunc_lfunctions • Show schema
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{'Lhash': '2639923856897485715656102288527', 'a10': [-19.79898987322333, -34.292856398964496], 'a2': [1.0, -1.7320508075688772], 'a3': [3.5355339059327378, 6.123724356957945], 'a4': [-2.0, -3.4641016151377544], 'a5': [9.899494936611665, -17.146428199482248], 'a6': [14.142135623730951, 1.1196768702167326e-60], 'a7': [0.0, 0.0], 'a8': [-8.0, 0.0], 'a9': [-11.5, 19.91858428704209], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.782187180562583, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 1.7320508075688772]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.79', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'conjugate': '2054980145232894809901465192238', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 1.7320508075688772]], [[1.0, 0], [-3.5355339059327378, -6.123724356957945], [-13.5, 23.382685902179844]], [[1.0, 0], [-9.899494936611665, 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True, 'rational': False, 'root_analytic_conductor': 2.4046178866012338, 'root_angle': 0.18978452306496227, 'root_number': '0.8274608818879864 + 0.5615233645585515*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0948922615325', 'prec': 50}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.08253272346669541163945260014', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.42490691313573738738284499624', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.97000276392372530434002676072', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.782187180562583, 'bad_primes': [2, 7], 'central_character': '7.2', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/4/c/h/79/2'], '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': '2-98-7.2-c3-0-6', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-98-7.2-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4046178866012338, 'root_angle': 0.09489226153248113, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.08253272346669541163945260014', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2639923856897485715656102288527', 'Lhash_array': ['2639923856897485715656102288527'], 'label': '2-98-7.2-c3-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/4/c/h/79/2'}