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lfunc_lfunctions • Show schema
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{'Lhash': '786507359083845649513778277043', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -3.099680780056108], 'a4': [0, 0], 'a5': [0, 25.0], 'a6': [0, 0], 'a7': [118.82095134707866, 0], 'a8': [0, 0], 'a9': [233.39197906175076, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 51.32282234015381, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, -25.0]]]], 'bad_primes': [2, 5], 'central_character': '320.161', 'coefficient_field': 'CDF', 'conductor': 320, 'conductor_radical': 10, 'conjugate': '1714422161135965177680934750975', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 3.099680780056108], [-243.0, 0]], [[1.0, 0], [0, -25.0]], [[1.0, 0], [-118.82095134707866, 0], [16807.0, 0]], [[1.0, 0], [0, -355.46688746754523], [-161051.0, 0]], [[1.0, 0], [0, -370.73491073463777], [-371293.0, 0]], [[1.0, 0], [586.0189358170798, 0], [1419857.0, 0]], [[1.0, 0], [0, -972.7695923616715], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 51.32282234015381, 'bad_primes': [2, 5], 'central_character': '8.5', 'conductor': 320, 'conductor_radical': 10, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/320/6/d/c/161/6'], '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': '2-320-8.5-c5-0-15', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-320-8.5-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.163994859026199, 'root_angle': -0.20833333333333334, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.62044490724986986135648336148', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '786507359083845649513778277043', 'Lhash_array': ['786507359083845649513778277043'], 'label': '2-320-8.5-c5-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/320/6/d/c/161/6'}