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lfunc_lfunctions • Show schema
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{'Lhash': '984507759064340607158130740416', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.155937438598787, 0.0], 'a4': [0.0, 0.0], 'a5': [0.061463424356969706, 0.0], 'a6': [0.0, 0.0], 'a7': [2.5521345454518034, 0.0], 'a8': [0.0, 0.0], 'a9': [6.95994111634947, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 67.58538027081175, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 23], 'central_character': '8464.1', 'coefficient_field': 'CDF', 'conductor': 8464, 'conductor_radical': 46, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.155937438598787, 0], [3.0, 0]], [[1.0, 0], [-0.061463424356969706, 0], [5.0, 0]], [[1.0, 0], [-2.5521345454518034, 0], [7.0, 0]], [[1.0, 0], [-4.4869388544089785, 0], [11.0, 0]], [[1.0, 0], [1.0738457928034038, 0], [13.0, 0]], [[1.0, 0], [3.5653138088324345, 0], [17.0, 0]], [[1.0, 0], [-5.693042223243798, 0], [19.0, 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'3.95220524795336299115663414177019', '4.38726840627267748909093366099783', '5.10808054605869984820306407051097', '5.64594254423414855193888438440067', '6.48917959021680623935594055237581', '6.78416243145921051136301233401182', '7.62799965085812020007806862321758'], 'prelabel': '2-92e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.221032798305318, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.77663968201260552186367748987', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.32840183237284230918655029157', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.43828612376770112677420222661', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 67.58538027081175, 'bad_primes': [2, 23], 'central_character': '1.1', 'conductor': 8464, 'conductor_radical': 46, 'degree': 2, 'index': 83, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8464/2/a/ch/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': '2-92e2-1.1-c1-0-83', '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': '2-92e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.221032798305318, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77663968201260552186367748987', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '984507759064340607158130740416', 'Lhash_array': ['984507759064340607158130740416'], 'label': '2-92e2-1.1-c1-0-83', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8464/2/a/ch/1/1'}