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{'algebraic': True, 'analytic_conductor': 214.04025764988077, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 150, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 128, 2187, 16384, 0, 279936, 511994, 2097152, 4782969, 0, -19947598, 35831808, -180100962, 65535232, 0, 268435456, 565654514, 612220032, -2169230520, 0, 1119730878, -2553292544, -3443072572, 4586471424, 0, -23052923136, 10460353203, 8388509696, 58843361520, 0, -131248934648, 34359738368, -43625396826, 72403777792, 0, 78364164096, -1018926148246, -277661506560, -393880803894, 0, -678311212798, 143325552384, 1869778918508, -326821445632, 0, -440713289216, -2655546152576, 587068342272, -4485423653907, 0, 1237086422118, -2950774161408, 7733409097998, 1338925209984, 0, 1073729241088, -4744107147240, 7531950274560, 12384358030090, 0, -28742040118198, -16799863634944, 2448851430186, 4398046511104, 0, -5584050793728, -62114558153336, 9267683557376, -7529999714964, 0, 17045715067452, 10030613004288, 94423385896028, -130422546975488, 0, -35540672839680, -10213050490412, -50416742898432, 5162001412320, 0, 22876792454961, -86823835238144, -388824931818532, 18345670705152, 0, 239331701569024, 128690431644240, -41833145040896, 64970078898710, 0, -92210611938228, -56411301019648, -287041420075176, -339909907529728, 0, 75144747810816, -424522131387176, -574134227700096, -95408742858462, 0], 'euler11': [1, 19947598, 4177248169415651], 'euler13': [1, 180100962, 51185893014090757], 'euler17': [1, -565654514, 2862423051509815793], 'euler19': [1, 2169230520, 15181127029874798299], 'euler2': [1, -128, 0], 'euler23': [1, 3443072572, 266635235464391245607], 'euler29': [1, -58843361520, 8629188747598184440949], 'euler3': [1, -2187, 0], 'euler31': [1, 131248934648, 23465261991844685929951], 'euler37': [1, 1018926148246, 333446267951815307088493], 'euler41': [1, 678311212798, 1555098314991537910888601], 'euler43': [1, -1869778918508, 3177070365797955661914307], 'euler47': [1, 2655546152576, 12063348350820368238715343], 'euler5': [1, 0, 0], 'euler53': [1, -7733409097998, 73137151889028619724488157], 'euler59': [1, -12384358030090, 365409786560616989860302899], 'euler61': [1, 28742040118198, 602486784535040403801858901], 'euler67': [1, 62114558153336, 2461059085914092013369600043], 'euler7': [1, -511994, 4747561509943], 'euler71': [1, -17045715067452, 5873205959385493353867330551], 'euler73': [1, -94423385896028, 8909286024901500973179764857], 'euler79': [1, -5162001412320, 29134419507545592909032289199], 'euler83': [1, 388824931818532, 61118316854865828343112727707], 'euler89': [1, -64970078898710, 174120577810999285787632895849], 'euler97': [1, 424522131387176, 633251189136789386043275954593], 'euler_factors': [[1, -128, 0], [1, -2187, 0], [1, 0, 0], [1, -511994, 4747561509943], [1, 19947598, 4177248169415651], [1, 180100962, 51185893014090757], [1, -565654514, 2862423051509815793], [1, 2169230520, 15181127029874798299], [1, 3443072572, 266635235464391245607], [1, -58843361520, 8629188747598184440949], [1, 131248934648, 23465261991844685929951], [1, 1018926148246, 333446267951815307088493], [1, 678311212798, 1555098314991537910888601], [1, -1869778918508, 3177070365797955661914307], [1, 2655546152576, 12063348350820368238715343], [1, -7733409097998, 73137151889028619724488157], [1, -12384358030090, 365409786560616989860302899], [1, 28742040118198, 602486784535040403801858901], [1, 62114558153336, 2461059085914092013369600043], [1, -17045715067452, 5873205959385493353867330551], [1, -94423385896028, 8909286024901500973179764857], [1, -5162001412320, 29134419507545592909032289199], [1, 388824931818532, 61118316854865828343112727707], [1, -64970078898710, 174120577810999285787632895849], [1, 424522131387176, 633251189136789386043275954593]], 'id': 22777567, 'index': 44, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/150/16/a/i/1/1', 'ModularForm/GL2/Q/holomorphic/150/16/a/i'], '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': '2-150-1.1-c15-0-44', 'motivic_weight': 15, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [15], 'order_of_vanishing': 1, 'prelabel': '2-150-1.1-c15-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 14.630114751767355, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c15-0', 'trace_hash': 1440319334409244014, 'z1': {'__RealLiteral__': 0, 'data': '1.53982859437516478884648952900', 'prec': 103}}