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{'algebraic': True, 'analytic_conductor': 2352122.5610521585, 'bad_primes': [2, 7, 23], 'central_character': '1.1', 'conductor': 11451483064, 'conductor_radical': 322, 'degree': 6, 'dirichlet_coefficients': [1, -6, 3, 24, -8, -18, 0, -80, -42, 48, 6, 72, -13, 0, -24, 240, -20, 252, 12, -192, 0, -36, -69, -240, -177, 78, -163, 0, -67, 144, -41, -672, 18, 120, 0, -1008, -36, -72, -39, 640, -273, 0, 564, 144, 336, 414, -1145, 720, 0, 1062, -60, -312, 632, 978, -48, 0, 36, 402, 128, -576, -266, 246, 0, 1792, 104, -108, 1128, -480, -207, 0, 1075, 3360, -59, 216, -531, 288, 0, 234, -744, -1920, 624, 1638, -2708, 0, 160, -3384, -201, -480, -448, -2016, 0, -1656, -123, 6870, -96, -2016, 1322, 0, -252, -4248], 'euler11': [1, -6, 3477, -15820, 4627887, -10629366, 2357947691], 'euler13': [1, 13, 5743, 48890, 12617371, 62748517, 10604499373], 'euler17': [1, 20, 14337, 197288, 70437681, 482751380, 118587876497], 'euler19': [1, -12, 7653, -524904, 52491927, -564550572, 322687697779], 'euler2': [1, 6, 12, 8, 0, 0, 0], 'euler23': [1, 69, 1587, 12167, 0, 0, 0], 'euler29': [1, 67, 6079, -2791802, 148260731, 39853162507, 14507145975869], 'euler3': [1, -3, 51, -116, 1377, -2187, 19683], 'euler31': [1, 41, 17263, -99032, 514282033, 36387650921, 26439622160671], 'euler37': [1, 36, 109539, 5834088, 5548478967, 92366150724, 129961739795077], 'euler41': [1, 273, 220107, 36881094, 15169994547, 1296778457793, 327381934393961], 'euler43': [1, -564, 327609, -92381880, 26047208763, -3565248759636, 502592611936843], 'euler47': [1, 1145, 697887, 272530952, 72456722001, 12342201551705, 1119130473102767], 'euler5': [1, 8, 241, 2336, 30125, 125000, 1953125], 'euler53': [1, -632, 507843, -183016256, 75606142311, -14007876233528, 3299763591802133], 'euler59': [1, -128, 201511, 67524280, 41386127669, -5399108306048, 8662995818654939], 'euler61': [1, 266, 630617, 110916680, 143138077277, 13704419580026, 11694146092834141], 'euler67': [1, -1128, 1285221, -715046656, 386546923623, -102037055086632, 27206534396294947], 'euler7': [1, 0, 0, 0, 0, 0, 0], 'euler71': [1, -1075, 1422925, -800571106, 509280509675, -137707805215075, 45848500718449031], 'euler73': [1, 59, 162635, 251207930, 63267779795, 8928719351051, 58871586708267913], 'euler79': [1, 744, 869673, 635830144, 428782706247, 180857066907624, 119851595982618319], 'euler83': [1, 2708, 3903245, 3586323960, 2231824748815, 885354531083252, 186940255267540403], 'euler89': [1, 448, 1612617, 707661976, 1136844993873, 222647618350528, 350356403707485209], 'euler97': [1, -1322, 1040633, -1001644904, 949757642009, -1101188990516138, 760231058654565217], 'euler_factors': [[1, 6, 12, 8, 0, 0, 0], [1, -3, 51, -116, 1377, -2187, 19683], [1, 8, 241, 2336, 30125, 125000, 1953125], [1, 0, 0, 0, 0, 0, 0], [1, -6, 3477, -15820, 4627887, -10629366, 2357947691], [1, 13, 5743, 48890, 12617371, 62748517, 10604499373], [1, 20, 14337, 197288, 70437681, 482751380, 118587876497], [1, -12, 7653, -524904, 52491927, -564550572, 322687697779], [1, 69, 1587, 12167, 0, 0, 0], [1, 67, 6079, -2791802, 148260731, 39853162507, 14507145975869], [1, 41, 17263, -99032, 514282033, 36387650921, 26439622160671], [1, 36, 109539, 5834088, 5548478967, 92366150724, 129961739795077], [1, 273, 220107, 36881094, 15169994547, 1296778457793, 327381934393961], [1, -564, 327609, -92381880, 26047208763, -3565248759636, 502592611936843], [1, 1145, 697887, 272530952, 72456722001, 12342201551705, 1119130473102767], [1, -632, 507843, -183016256, 75606142311, -14007876233528, 3299763591802133], [1, -128, 201511, 67524280, 41386127669, -5399108306048, 8662995818654939], [1, 266, 630617, 110916680, 143138077277, 13704419580026, 11694146092834141], [1, -1128, 1285221, -715046656, 386546923623, -102037055086632, 27206534396294947], [1, -1075, 1422925, -800571106, 509280509675, -137707805215075, 45848500718449031], [1, 59, 162635, 251207930, 63267779795, 8928719351051, 58871586708267913], [1, 744, 869673, 635830144, 428782706247, 180857066907624, 119851595982618319], [1, 2708, 3903245, 3586323960, 2231824748815, 885354531083252, 186940255267540403], [1, 448, 1612617, 707661976, 1136844993873, 222647618350528, 350356403707485209], [1, -1322, 1040633, -1001644904, 949757642009, -1101188990516138, 760231058654565217]], 'id': 20925513, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2254/4/a/h'], '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': '6-2254e3-1.1-c3e3-0-1', '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}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 3, 'prelabel': '6-2254e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.532142262083806, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1008309891666664456, 'z1': {'__RealLiteral__': 0, 'data': '0.70250433787796759767131451223', 'prec': 103}}