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{'algebraic': True, 'analytic_conductor': 64860626.53160265, 'bad_primes': [3, 13], 'central_character': '1.1', 'conductor': 5352009260481, 'conductor_radical': 39, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -115, 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, -1808, 0, 0, 0, 0, 0, -1372, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 0, 0, -1486370, 0, 0, 0, 3138428376721], 'euler13': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, 19652, 0, 144825414, 0, 474351505988, 0, 582622237229761], 'euler19': [1, 0, 27436, 0, 282275286, 0, 1290750791116, 0, 2213314919066161], 'euler2': [1, 0, 0, 0, 115, 0, 0, 0, 4096], 'euler23': [1, 0, 48668, 0, 888215334, 0, 7204610645852, 0, 21914624432020321], 'euler29': [1, 0, 97556, 0, 3568939926, 0, 58028583903476, 0, 353814783205469041], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 119164, 0, 5325022086, 0, 105758488642684, 0, 787662783788549761], 'euler37': [1, 0, 202612, 0, 15394358454, 0, 519846959180308, 0, 6582952005840035281], 'euler41': [1, 0, 0, 0, -315317810, 0, 0, 0, 22563490300366186081], 'euler43': [1, 1808, 1543852, 800627600, 274591480246, 63655498593200, 9759248985924748, 908687442381812144, 39959630797262576401], 'euler47': [1, 0, 0, 0, -19480835090, 0, 0, 0, 116191483108948578241], 'euler5': [1, 0, 0, 0, 3742, 0, 0, 0, 244140625], 'euler53': [1, 0, 595508, 0, 132986166774, 0, 13199054367208532, 0, 491258904256726154641], 'euler59': [1, 0, 0, 0, 78746477470, 0, 0, 0, 1779197418239532716881], 'euler61': [1, 0, -876820, 0, 295244076822, 0, -45174094647212020, 0, 2654348974297586158321], 'euler67': [1, 0, 1203052, 0, 542750293014, 0, 108826137585179788, 0, 8182718904632857144561], 'euler7': [1, 0, 1372, 0, 705894, 0, 161414428, 0, 13841287201], 'euler71': [1, 0, 0, 0, -234490873970, 0, 0, 0, 16409682740640811134241], 'euler73': [1, 0, 1556068, 0, 908005357734, 0, 235486346833071652, 0, 22902048046490258711521], 'euler79': [1, 0, 1622300, 0, 1144139233542, 0, 394360779091718300, 0, 59091511031674153381441], 'euler83': [1, 0, 0, 0, -633473875010, 0, 0, 0, 106890007738661124410161], 'euler89': [1, 0, 0, 0, -926581329650, 0, 0, 0, 246990403565262140303521], 'euler97': [1, 0, 3650692, 0, 4997832029574, 0, 3040924234618260868, 0, 693842360995438000295041], 'euler_factors': [[1, 0, 0, 0, 115, 0, 0, 0, 4096], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 3742, 0, 0, 0, 244140625], [1, 0, 1372, 0, 705894, 0, 161414428, 0, 13841287201], [1, 0, 0, 0, -1486370, 0, 0, 0, 3138428376721], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 19652, 0, 144825414, 0, 474351505988, 0, 582622237229761], [1, 0, 27436, 0, 282275286, 0, 1290750791116, 0, 2213314919066161], [1, 0, 48668, 0, 888215334, 0, 7204610645852, 0, 21914624432020321], [1, 0, 97556, 0, 3568939926, 0, 58028583903476, 0, 353814783205469041], [1, 0, 119164, 0, 5325022086, 0, 105758488642684, 0, 787662783788549761], [1, 0, 202612, 0, 15394358454, 0, 519846959180308, 0, 6582952005840035281], [1, 0, 0, 0, -315317810, 0, 0, 0, 22563490300366186081], [1, 1808, 1543852, 800627600, 274591480246, 63655498593200, 9759248985924748, 908687442381812144, 39959630797262576401], [1, 0, 0, 0, -19480835090, 0, 0, 0, 116191483108948578241], [1, 0, 595508, 0, 132986166774, 0, 13199054367208532, 0, 491258904256726154641], [1, 0, 0, 0, 78746477470, 0, 0, 0, 1779197418239532716881], [1, 0, -876820, 0, 295244076822, 0, -45174094647212020, 0, 2654348974297586158321], [1, 0, 1203052, 0, 542750293014, 0, 108826137585179788, 0, 8182718904632857144561], [1, 0, 0, 0, -234490873970, 0, 0, 0, 16409682740640811134241], [1, 0, 1556068, 0, 908005357734, 0, 235486346833071652, 0, 22902048046490258711521], [1, 0, 1622300, 0, 1144139233542, 0, 394360779091718300, 0, 59091511031674153381441], [1, 0, 0, 0, -633473875010, 0, 0, 0, 106890007738661124410161], [1, 0, 0, 0, -926581329650, 0, 0, 0, 246990403565262140303521], [1, 0, 3650692, 0, 4997832029574, 0, 3040924234618260868, 0, 693842360995438000295041]], 'id': 20922290, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1521/4/a/y'], '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': '8-39e8-1.1-c3e4-0-5', 'motivic_weight': 3, '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': [3, 3, 3, 3], 'order_of_vanishing': 4, 'prelabel': '8-39e8-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.473220419621383, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 720056639438426618, 'z1': {'__RealLiteral__': 0, 'data': '1.00429582563569572043564346386', 'prec': 103}}