{'Lhash': '689258698904097652945106024519', 'a10': [28.435358058122716, 0.0], 'a2': [-2.0, 0.0], 'a3': [-3.0, 0.0], 'a4': [4.0, 0.0], 'a5': [-14.217679029061358, 0.0], 'a6': [6.0, 0.0], 'a7': [7.0, 0.0], 'a8': [-8.0, 0.0], 'a9': [9.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.21504286313439, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.0, 0]]], [3, [[1.0, 0], [3.0, 0]]], [7, [[1.0, 0], [-7.0, 0]]], [13, [[1.0, 0], [-13.0, 0]]]], 'bad_primes': [2, 3, 7, 13], 'central_character': '546.1', 'coefficient_field': 'CDF', 'conductor': 546, 'conductor_radical': 546, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.0, 0]], [[1.0, 0], [3.0, 0]], [[1.0, 0], [14.217679029061358, 0], [125.0, 0]], [[1.0, 0], [-7.0, 0]], [[1.0, 0], [-33.18003800123624, 0], [1331.0, 0]], [[1.0, 0], [-13.0, 0]], [[1.0, 0], [84.05075411748167, 0], [4913.0, 0]], [[1.0, 0], [89.95911126155222, 0], [6859.0, 0]], [[1.0, 0], [191.44847114777926, 0], [12167.0, 0]], [[1.0, 0], [-94.50247297588359, 0], [24389.0, 0]], [[1.0, 0], [-30.418997257843507, 0], [29791.0, 0]], [[1.0, 0], [70.92796565497241, 0], [50653.0, 0]], [[1.0, 0], [59.639923997527525, 0], [68921.0, 0]], [[1.0, 0], [-522.3454134433377, 0], [79507.0, 0]], [[1.0, 0], [12.310993601634852, 0], [103823.0, 0]], [[1.0, 0], [29.689006398365148, 0], [148877.0, 0]], [[1.0, 0], [647.7513241360252, 0], [205379.0, 0]], [[1.0, 0], [-347.1112513668313, 0], [226981.0, 0]], [[1.0, 0], [104.12123899303111, 0], [300763.0, 0]], [[1.0, 0], [-459.78399268758267, 0], [357911.0, 0]], [[1.0, 0], [-935.2423557388963, 0], [389017.0, 0]], [[1.0, 0], [-961.0475329313595, 0], [493039.0, 0]], [[1.0, 0], [26.23236811269652, 0], [571787.0, 0]], [[1.0, 0], [-690.6843049409298, 0], [704969.0, 0]], [[1.0, 0], [53.76118951505912, 0], [912673.0, 0]], [[1.0, 0], [-1339.8757151170137, 0], [1030301.0, 0]], [[1.0, 0], [1814.8825507552563, 0], [1092727.0, 0]], [[1.0, 0], [1083.119689523553, 0], [1225043.0, 0]], [[1.0, 0], [-493.3173667757143, 0], [1295029.0, 0]], [[1.0, 0], [-886.4682976285125, 0], [1442897.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20354054, 'index': 1, 'label': '2-546-1.1-c3-0-1', 'leading_term': '0.63224311060424751763127767384424', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/546/4/a/l/1/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0625', 'prec': 20}, 'plot_values': [0.6322431106042475, 0.6232232933783327, 0.5962690227460655, 0.5516967282094943, 0.4900366495341893, 0.41203678621618, 0.3186677684025855, 0.21112802410422113, 0.09084848456189164, -0.040504031987501216, -0.18102568403398578, -0.32857767173354097, -0.4807924447778672, -0.6350849426653602, -0.7886696650367714, -0.9385842399724922, -1.0817199928616106, -1.21485982085674, -1.3347234519757778, -1.4380199182964386, -1.5215068048648706, -1.5820555561385046, -1.6167218370242833, -1.6228196636398524, -1.5979977483022636, -1.5403162530100711, -1.4483219253248036, -1.321119409766659, -1.1584363962239936, -0.9606801936347263, -0.7289833107547692, -0.46523569344513804, -0.17210141528154163, 0.14698215084756527, 0.4878243367372261, 0.8455216156678937, 1.2145192504421394, 1.588694380235893, 1.9614601615040188, 2.325889918146898, 2.6748595653012526, 3.001205869165845, 3.2978974143269992, 3.5582144941010574, 3.775933543657724, 3.9455112257438043, 4.062262879835035, 4.122529781213389, 4.123829548061495, 4.064984099979076, 3.9462198236891632, 3.769235049054517, 3.537230582605333, 3.2548998814675087, 2.9283764654421893, 2.5651373390543992, 2.173862501211768, 1.7642520231077867, 1.3468036341005551, 0.9325552239176501, 0.5327980968607134, 0.15876814620461444, -0.17867669968377148, -0.4693834271203938, -0.7042252220285217, -0.8754065980237473, -0.9767417785540045, -1.0038960083828017, -0.9545801115184268, -0.8286896348379518, -0.6283813079072832, -0.3580812838359955, -0.024421662493603273, 0.3638959193188444, 0.7963083848085182, 1.260667196209763, 1.7435758435717483, 2.2307799914945488, 2.7075991391872836, 3.159386641281756, 3.5720033071419, 3.932288629456991, 4.228513060265009, 4.450794709079186, 4.591464418270929, 4.645364387255069, 4.610067356477336, 4.486005785985382, 4.27650340681034, 3.98770489695826, 3.6284031252864297, 3.209767284316844, 2.7449791504970857, 2.2487885112091406, 1.7370023219275819, 1.2259252472456639, 0.731771748743307, 0.27007168029368817, -0.14490766988700088, -0.5007000693840854, -0.7871172018156556, -0.9966435403979408, -1.1247315951256898, -1.1699834467684043, -1.1342087539712262, -1.0223542603696532, -0.8423050520789506, -0.6045632120177067, -0.32181485871551824, -0.00840160797043844, 0.3202829773739481, 0.6484476015761473, 0.960580924442407, 1.242123796814211, 1.4801066023825216, 1.6637230454519747, 1.7848138119028005, 1.83823687957493, 1.822105758621467, 1.7378824381344724, 1.5903180857432444, 1.3872413300581103, 1.1392009551926057, 0.8589767333642178, 0.5609785889942797, 0.26056000636588006, -0.026723733684553847, -0.28587853250670586, -0.5032198512380599, -0.6670704596357718, -0.7683730339862407, -0.8011862897408957, -0.7630381469183374, -0.6551156633674599, -0.48227887605198044, -0.25289393978029817, 0.021510331344597657, 0.3267496467756453, 0.6466338866986178, 0.9637303766236504, 1.260205589917572, 1.518705288423214, 1.7232301843713316, 1.8599633505146806, 1.9180069290900614, 1.8899891957564394, 1.7725086123334715, 1.566388931949753, 1.2767283789476953, 0.9127360001505853, 0.4873589882968222, 0.01671557753028318, -0.4806415535109216, -0.9845971162947704, -1.4744382456696066, -1.9298648983273328, -2.3319943433517425, -2.664307639275639, -2.913487888680055, -3.0701046673192494, -3.129106174510232, -3.0900900373704308, -2.95733488500685, -2.7395872398865517, -2.449611316518647, -2.103522282249149, -1.7199357130353938, -1.3189766799731668, -0.9212004999489424, -0.5464831411774097, -0.2129421848771917, 0.06405114341216668, 0.2727121218728331, 0.4054851372647474, 0.45944902382087904, 0.43645791394142164, 0.3430047534222048, 0.18981013098933233, -0.008845149487905173, -0.23601014982839802, -0.4731292334396929, -0.7012241715368913, -0.90212587618618, -1.0596839587565519, -1.1608815418199494, -1.196786141051493, -1.163274920646117, -1.061483913613016, -0.8979453612568609, -0.6843944324589623, -0.43724533025558443, -0.17675615296061958, 0.0740792479575806, 0.2908568874158299, 0.44923557727598257, 0.5264759380384242, 0.5029575334792652, 0.36358430908770134, 0.09899178915939001, -0.2935221251053476, -0.8094077321302845, -1.4366630879906508, -2.1560494679905378, -2.9417267442970725, -3.762288813224168, -4.582155708668472, -5.363257293875158, -6.066924743087981, -6.655891579844197, -7.096296789895281, -7.359579159293314, -7.424154863935745, -7.276779463267279, -6.91351047013855, -6.340206868619459, -5.572526296845993, -4.635407797326908, -3.5620565566269815, -2.392475287444921, -1.1716132029454553, 0.05277367614822595, 1.232439259229554, 2.321017717627628, 3.2763189986570893, 4.062423439875965, 4.651459023597009, 5.024961293807343, 5.17473845076313, 5.103191418692149, 4.823069216247419, 4.356671991816951, 3.7345457398465096, 2.9937421040917056, 2.1757420187926466, 1.3241616749972276, 0.4823721784905457, -0.3088305617981464, -1.013372102575391, -1.6017392076484447, -2.0524087170496528, -2.3527858967329247, -2.4996022195096654, -2.4987552459814597, -2.364607118744397, -2.1187910676520927, -1.788605199432028, -1.4050978297800443, -1.0009671173785142, -0.6084085782742434, -0.2570464726391908, 0.027921130641737582, 0.227248239888409, 0.3287442012890176, 0.32788854976468274, 0.22792368587175074, 0.03942580843000096, -0.2206113149575421], 'positive_zeros': ['0.54372924114894329215118589320514', '2.03429031494855937010414066742515', '3.84094927669916456093984937943244', '4.50418831563767949085190291090189', '6.10223551042681472035087004775140', '6.81412134708706035088197729227217', '7.86896969397478682937142028016868', '8.495383539084339892197453012516755', '9.439642101131864647517908122210075', '10.67167973011090935059159914246876'], 'prelabel': '2-546-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.675829707023846, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.54372924114894329215118589321', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.03429031494855937010414066743', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.84094927669916456093984937943', 'prec': 103}}