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{'algebraic': True, 'analytic_conductor': 11.807712901752572, 'bad_primes': [11], 'central_character': '1.1', 'conductor': 121, 'conductor_radical': 11, 'degree': 4, 'dirichlet_coefficients': [1, -8, -6, -148, -470, 48, -1228, 1856, -2187, 3760, 2662, 888, 344, 9824, 2820, 8336, -8468, 17496, -35280, 69560, 7368, -21296, -61486, -11136, 33425, -2752, 13338, 181744, 179040, -22560, -57166, -177536, -15972, 67744, 577160, 323676, -877698, 282240, -2064, -872320, -283616, -58944, 275484, -393976, 1027890, 491888, 1662512, -50016, -112658, -267400, 50808, -50912, 1616484, -106704, -1251140, -2279168, 211680, -1432320, -2454130, -417360, -6019176, 457328, 2685636, 177344, -161680, 127776, -174698, 1253264, 368916, -4617280, -1151466, -4059072, 885944, 7021584, -200550, 5221440, -3268936, 16512, 3801460, -3917920, 77436, 2268928, -2282916, -1090464, 3979960, -2203872, -1074240, 4940672, -13481970, -8223120, -422432, 9099928, 342996, -13300096, 16581600, 1065216, -68078, 901264, -5821794, 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-1898901762168273108, 1379946262057143768386569], 'euler59': [1, 2454130, 5185075198823, 6107474268438852470, 6193386212891813387462761], 'euler61': [1, 6019176, 15292993001786, 18916722252749538696, 9876832533361318095112441], 'euler67': [1, 174698, 2881438572447, 1058794196026717454, 36732225162896895721934329], 'euler7': [1, 1228, 1620642, 1011310804, 678223072849], 'euler71': [1, 1151466, 6215147678071, 10472721628301851206, 82721210695570328927708881], 'euler73': [1, -885944, 20004042345618, -9787376433602872568, 122045014039746588673695409], 'euler79': [1, -3801460, 35726075376258, -73002891854523992140, 368790120348678391253573281], 'euler83': [1, 2282916, 53736100067578, 61949324981035312332, 736365263311636486061599129], 'euler89': [1, 13481970, 131461606905283, 596325530121475112130, 1956410986640441413344189841], 'euler97': [1, 68078, 159761571363987, 5500585610700976814, 6528362774606076144776040769], 'euler_factors': [[1, 8, 212, 1024, 16384], [1, 6, 2223, 13122, 4782969], [1, 470, 187475, 36718750, 6103515625], [1, 1228, 1620642, 1011310804, 678223072849], [1, -2662, 1771561, 0, 0], [1, -344, 109427178, -21585489848, 3937376385699289], [1, 8468, 32230742, 3474747882964, 168377826559400929], [1, 35280, 1565373638, 31535794951920, 799006685782884121], [1, 61486, 6650536943, 209349097434242, 11592836324538749809], [1, -179040, 34622681578, -3088417854363360, 297558232675799463481], [1, 57166, 31335570111, 1572786098269426, 756943935220796320321], [1, 877698, 381609348827, 83321518695879834, 9012061295995008299689], [1, 283616, 125033442626, 55235428141033696, 37929227194915558802161], [1, -275484, 552841024778, -74881678262200788, 73885357344138503765449], [1, -1662512, 1690275368222, -842267017247183056, 256666986187667409334369], [1, -1616484, 2738235417598, -1898901762168273108, 1379946262057143768386569], [1, 2454130, 5185075198823, 6107474268438852470, 6193386212891813387462761], [1, 6019176, 15292993001786, 18916722252749538696, 9876832533361318095112441], [1, 174698, 2881438572447, 1058794196026717454, 36732225162896895721934329], [1, 1151466, 6215147678071, 10472721628301851206, 82721210695570328927708881], [1, -885944, 20004042345618, -9787376433602872568, 122045014039746588673695409], [1, -3801460, 35726075376258, -73002891854523992140, 368790120348678391253573281], [1, 2282916, 53736100067578, 61949324981035312332, 736365263311636486061599129], [1, 13481970, 131461606905283, 596325530121475112130, 1956410986640441413344189841], [1, 68078, 159761571363987, 5500585610700976814, 6528362774606076144776040769]], 'id': 9640513, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/8/a/a'], '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': '4-11e2-1.1-c7e2-0-0', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7, 7], 'order_of_vanishing': 2, 'prelabel': '4-11e2-1.1-c7e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.853708520864416, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7e2-0', 'trace_hash': 1563723191452801501, 'z1': {'__RealLiteral__': 0, 'data': '3.53619294295583610418783673825', 'prec': 103}}