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{'algebraic': True, 'analytic_conductor': 18532.47789640417, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 4492125, 'conductor_radical': 165, 'degree': 6, 'dirichlet_coefficients': [1, 2, -27, -67, 75, -54, -68, -166, 486, 150, 363, 1809, 290, -136, -2025, 2373, 434, 972, -2856, -5025, 1836, 726, -640, 4482, 3750, 580, -7290, 4556, -4538, -4050, -14968, 6666, -9801, 868, -5100, -32562, -6190, -5712, -7830, -12450, -8926, 3672, -33592, -24321, 36450, -1280, -24640, -64071, -30245, 7500, -11718, -19430, -22934, -14580, 27225, 11288, 77112, -9076, -13756, 135675, 24602, -29936, -33048, -49859, 21750, -19602, 16868, -29078, 17280, -10200, 4856, -80676, 1910, -12380, -101250, 191352, -24684, -15660, -36844, 177975, 98415, -17852, -48796, -123012, 32550, -67184, 122526, -60258, -188978, 72900, -19720, 42880, 404136, -49280, -214200, -179982, 247526, -60490, 176418, -251250], 'euler11': [1, -363, 43923, -1771561, 0, 0, 0], 'euler13': [1, -290, 658819, -83286348, 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17510325232279656, 15181127029874798299], [1, 640, 6700261, -7538830592, 43125177985523, 26512967176735360, 266635235464391245607], [1, 4538, 35092643, 141745639868, 719790429376807, 1909169424716312138, 8629188747598184440949], [1, 14968, 160071261, 978687787280, 4582704301929411, 12268196199528629368, 23465261991844685929951], [1, 6190, 113089771, 886491849396, 7842092217363847, 29765137265266485310, 333446267951815307088493], [1, 8926, 272145047, 2187570068644, 31529691266386447, 119810657002420331326, 1555098314991537910888601], [1, 33592, 693464257, 9837617686992, 101945100697721851, 725972913867844492408, 3177070365797955661914307], [1, 24640, 788101261, 10622124840832, 180747089220753827, 1296042618290852407360, 12063348350820368238715343], [1, 22934, 1099334651, 14788031800868, 459736796346927943, 4010869245362676265766, 73137151889028619724488157], [1, 13756, -129165359, -1129007325848, -92343453738158341, 7030922058403623112156, 365409786560616989860302899], [1, -24602, 2638007155, -41514451599900, 2228051085124533655, -17549662312730237749802, 602486784535040403801858901], [1, -16868, 3843672649, -43721067889560, 5189438946504098443, -30747628087179112121732, 2461059085914092013369600043], [1, -4856, 1951490165, 16632390591088, 3520935833880832915, -15807462683703983112056, 5873205959385493353867330551], [1, -1910, 5875530055, -8082237219348, 12180394450838227615, -8208465334733795109590, 8909286024901500973179764857], [1, 36844, 4302241965, 155969878390184, 13238241168449584035, 348849163988303558273644, 29134419507545592909032289199], [1, 48796, 9666032953, 314032777245928, 38074896658444308779, 757120745770896824897404, 61118316854865828343112727707], [1, 188978, 25306287767, 2094440123430812, 141311815324429460383, 5892659068925149444549778, 174120577810999285787632895849], [1, -247526, 41254986031, -4400049090000852, 354270602345978949967, -18253164443379401260604774, 633251189136789386043275954593]], 'id': 20367507, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/165/6/a/c'], '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': '6-165e3-1.1-c5e3-0-2', 'motivic_weight': 5, '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}], 'nu_real_doubled': [5, 5, 5], 'order_of_vanishing': 3, 'prelabel': '6-165e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.144252158394046, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5e3-0', 'trace_hash': 1615286590136689386, 'z1': {'__RealLiteral__': 0, 'data': '1.29324763946524851849160716602', 'prec': 103}}