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['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08862081458042372228834389055', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.21377998738872618041691397987', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.34925923964010256885618909609', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 29327719.396729242, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 7213895789838336, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 44, 0, 726, 0, 5324, 0, 14641], 'euler13': [1, 0, 0, 0, 146, 0, 0, 0, 28561], 'euler17': [1, 0, 68, 0, 1734, 0, 19652, 0, 83521], 'euler19': [1, 0, 52, 0, 1398, 0, 18772, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], 'euler29': [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 0, 0, 194, 0, 0, 0, 923521], 'euler37': [1, 0, 0, 0, -2062, 0, 0, 0, 1874161], 'euler41': [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], 'euler43': [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], 'euler47': [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], 'euler5': [1, 0, 20, 0, 150, 0, 500, 0, 625], 'euler53': [1, 0, 212, 0, 16854, 0, 595508, 0, 7890481], 'euler59': [1, 0, 236, 0, 20886, 0, 821516, 0, 12117361], 'euler61': [1, 0, 0, 0, -1966, 0, 0, 0, 13845841], 'euler67': [1, 64, 1804, 29248, 298294, 1959616, 8098156, 19248832, 20151121], 'euler7': [1, 0, 0, 0, -94, 0, 0, 0, 2401], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, 0, -92, 0, 12774, 0, -490268, 0, 28398241], 'euler79': [1, 0, 0, 0, 7682, 0, 0, 0, 38950081], 'euler83': [1, 0, 332, 0, 41334, 0, 2287148, 0, 47458321], 'euler89': [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], 'euler97': [1, 0, 4, 0, 18822, 0, 37636, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 20, 0, 150, 0, 500, 0, 625], [1, 0, 0, 0, -94, 0, 0, 0, 2401], [1, 0, 44, 0, 726, 0, 5324, 0, 14641], [1, 0, 0, 0, 146, 0, 0, 0, 28561], [1, 0, 68, 0, 1734, 0, 19652, 0, 83521], [1, 0, 52, 0, 1398, 0, 18772, 0, 130321], [1, 0, 92, 0, 3174, 0, 48668, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, 0, 0, 194, 0, 0, 0, 923521], [1, 0, 0, 0, -2062, 0, 0, 0, 1874161], [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], [1, 0, 188, 0, 13254, 0, 415292, 0, 4879681], [1, 0, 212, 0, 16854, 0, 595508, 0, 7890481], [1, 0, 236, 0, 20886, 0, 821516, 0, 12117361], [1, 0, 0, 0, -1966, 0, 0, 0, 13845841], [1, 64, 1804, 29248, 298294, 1959616, 8098156, 19248832, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, 0, -92, 0, 12774, 0, -490268, 0, 28398241], [1, 0, 0, 0, 7682, 0, 0, 0, 38950081], [1, 0, 332, 0, 41334, 0, 2287148, 0, 47458321], [1, 0, 356, 0, 47526, 0, 2819876, 0, 62742241], [1, 0, 4, 0, 18822, 0, 37636, 0, 88529281]], 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9216/2/a/bf'], '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': '8-96e8-1.1-c1e4-0-17', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 4, 'prelabel': '8-96e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.578469006927287, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1627308540474250349, 'z1': {'__RealLiteral__': 0, 'data': '1.08862081458042372228834389055', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1379990829023818156781596126367,1538648929558331455911614197402,1710389284993260434199046875450,1818138264089337422871046047793', 'Lhash_array': ['1379990829023818156781596126367', '1538648929558331455911614197402', '1710389284993260434199046875450', '1818138264089337422871046047793'], 'label': '8-96e8-1.1-c1e4-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9216/2/a/bf'}