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lfunc_lfunctions • Show schema
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{'Lhash': '2114692173193767748121591496497', 'a10': [0.5, 0.36327126400268045], 'a2': [1.3090169943749475, 0.9510565162951535], 'a3': [0.0, 0.0], 'a4': [0.19098300562505258, 0.5877852522924731], 'a5': [0.38196601125010515, 0.0], 'a6': [0.0, 0.0], 'a7': [0.9270509831248422, 2.853169548885461], 'a8': [0.6909830056250525, -2.1266270208801], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.2278262163937237, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [31, [[1.0, 0], [-0.04508497187473712, 5.567581822058034]]]], 'bad_primes': [3, 31], 'central_character': '279.64', 'coefficient_field': 'CDF', 'conductor': 279, 'conductor_radical': 93, 'conjugate': '2690732156425684907357908880520', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.3090169943749475, -0.9510565162951535], [0.6180339887498949, 1.902113032590307]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.38196601125010515, 0], [5.0, 0]], [[1.0, 0], 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'data': '4.04984453500570552549329939469', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.2278262163937237, 'bad_primes': [3, 31], 'central_character': '31.2', 'conductor': 279, 'conductor_radical': 93, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/279/2/i/a/64/1'], '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': '2-279-31.2-c1-0-5', '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': '2-279-31.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4925904382628623, 'root_angle': -0.14635272957664136, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66819798200942430123061711721', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2114692173193767748121591496497', 'Lhash_array': ['2114692173193767748121591496497'], 'label': '2-279-31.2-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/279/2/i/a/64/1'}