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lfunc_lfunctions • Show schema
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{'Lhash': '1709498715552688109264751767928', 'a10': [7.484768723850268, 70.31342856916076], 'a2': [-2.449489742783178, 1.4142135623730951], 'a3': [-6.270303291806509, 10.860483880275252], 'a4': [4.0, -6.928203230275509], 'a5': [10.138042510410429, -22.852135437571498], 'a6': [-5.162793008004217e-60, -35.47019182186171], 'a7': [-32.11058119583542, -37.012303025692155], 'a8': [0.0, 22.627416997969522], 'a9': [-38.133406742479075, -66.04899794366335], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.235897415869105, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.449489742783178, -1.4142135623730951]]], [5, [[1.0, 0], [-10.138042510410429, 22.852135437571498]]], [7, [[1.0, 0], [32.11058119583542, 37.012303025692155]]]], 'bad_primes': [2, 5, 7], 'central_character': '70.59', 'coefficient_field': 'CDF', 'conductor': 70, 'conductor_radical': 70, 'conjugate': '946223366741529949860852165691', 'degree': 2, 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'3.01707259861165401624897939658037', '6.08878481041212899114479629058187', '6.58359277409821621745026751727644', '8.054490633490517914272212846007547', '9.469320214490497315780895143281624', '10.85267794015707123696074389351269', '11.62757666687077059463127036316158', '12.80980147566442869982317979954998', '13.52246437138507783488986733045997'], 'prelabel': '2-70-35.24-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6899623446935284, 'root_angle': 0.031765528057156114, 'root_number': '0.9950246750213636 + 0.09962879151445046*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0158827640286', 'prec': 50}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.34855670422505051453066158939', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.01707259861165401624897939658', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.08878481041212899114479629058', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.235897415869105, 'bad_primes': [2, 5, 7], 'central_character': '35.24', 'conductor': 70, 'conductor_radical': 70, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/70/5/h/a/59/2'], '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': '2-70-35.24-c4-0-6', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-70-35.24-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6899623446935284, 'root_angle': 0.015882764028578057, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.34855670422505051453066158939', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1709498715552688109264751767928', 'Lhash_array': ['1709498715552688109264751767928'], 'label': '2-70-35.24-c4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/70/5/h/a/59/2'}