{'Lhash': 'dirichlet_L_231.206', 'a10': [-0.5, -0.8660254037844386], 'a2': [0.6691306063588582, 0.7431448254773942], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.10452846326765347, 0.9945218953682733], 'a5': [-0.9781476007338057, -0.20791169081775934], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-0.8090169943749475, 0.5877852522924731], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 24.82439762755838, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [7, [1]], [11, [1]]], 'bad_primes': [3, 7, 11], 'central_character': '231.206', 'coeff_info': ['x^30 - 1', '0.978147600733806 + 0.207911690817759*I', '\\\\zeta_{30}'], 'conductor': 231, 'conductor_radical': 231, 'conjugate': 'dirichlet_L_231.194', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^4', 0, 'a^8', 'a^16', 0, 0, 'a^12', 0, 'a^20', 0, 0, 'a^24', 0, 0, 'a^16', 'a^11', 0, 'a^22', 'a^24', 0, 0, 'a^25', 0, 'a^2', 'a^28', 0, 0, 'a^18', 0, 'a^29', 'a^20', 0, 'a^15', 0, 0, 'a^28', 'a^26', 0, 'a^28', 'a^27', 0, 'a^15', 0, 0, 'a^29', 'a^22', 0, 0, 'a^6', 0, 'a^2', 'a^29', 0, 0, 0, 0, 'a^22', 'a^8', 0, 'a^16', 'a^3', 0, 'a^24', 'a^10', 0, 'a^20', 'a^19', 0, 0, 'a^21', 0, 'a^8', 'a^2', 0, 'a^0', 0, 0, 'a^19', 'a^2', 0, 'a^1', 'a^21', 0, 'a^27', 'a^19', 0, 0, 'a^10', 0, 0, 'a^3', 0, 'a^26', 'a^8', 0, 'a^9', 0, 0, 'a^10'], 'euler_factors': [[1, 'a^4'], [0], [1, 'a^16'], [0], [0], [1, 'a^24'], [1, 'a^11'], [1, 'a^22'], [1, 'a^25'], [1, 'a^18'], [1, 'a^29'], [1, 'a^28'], [1, 'a^27'], [1, 'a^15'], [1, 'a^22'], [1, 'a^29'], [1, 'a^8'], [1, 'a^16'], [1, 'a^20'], [1, 'a^21'], [1, 'a^8'], [1, 'a^19'], [1, 'a^21'], [1, 'a^10'], [1, 'a^9'], [1, 'a^29']], 'gamma_factors': [[1], []], 'id': 9832, 'index': 0, 'label': '1-231-231.206-r1-0-0', 'leading_term': '1.17477057633538666914010158786-0.459840773468131042143312308168*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [0], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/231/206', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 14}, 'plot_values': [1.261562302847999, 0.1562210757484646, -1.355102428298895, -3.025118344135053, -4.445236676391573, -5.140755536434495, -4.779098769735001, -3.3792993241618805, -1.385813141748483, 0.47516091254877835, 1.5217904447772155, 1.4678314137566704, 0.5922474341835651, -0.40404573490656126, -0.8065582390314451, -0.3310205585350323, 0.6846918098975477, 1.4949823387916896, 1.4581712193385445, 0.5107618428287684, -0.7439860166904615, -1.4378357383445968, -1.0767340600214221, 0.04995222682560107, 1.0387557158968967, 1.0581302760462883, 0.06765773819579751, -1.0100487415232244, -0.889296537010917, 1.0725369889836698, 4.209789338756895, 6.8048985605348165, 7.191898921487303, 4.955190486579901, 1.3168802765823764, -1.6437186543509228, -2.4138264195872763, -1.061082796187142, 0.936358809316864, 1.9057787279496858, 1.272564174281036, -0.10079762559599692, -0.7711827260511571, -0.009581183057878348, 1.5845017461196726, 2.664232332344143, 2.3681945921888494, 1.0790778700526744, 0.016085195538229496, 0.04822495496698581, 0.858593285387604, 1.2824550578768168, 0.5274121577627111, -0.9080630917207857, -1.5875740000966847, -0.5376311192524813, 1.6075653107606676, 2.9139260162181424, 1.8028279983113829, -1.3855260030965169, -4.429915912591618, -4.998872059544189, -2.665086481988434, 0.6592178173248489, 2.331171620182952, 1.23682962146271, -1.320600358448155, -2.8886386206003616, -2.0929078940862365, 0.2356109771737086, 2.012534815803984, 1.9239038739377012, 0.5433233963914788, -0.4626256945244152, -0.1191884302280575, 0.945589767599397, 1.3502754528665801, 0.5857867553877, -0.37702686990270695, -0.18231108981988384, 1.299460667325909, 2.65595271097904, 2.37477603757077, 0.5600688723341928, -0.9905412198891531, -0.6025214352731005, 1.3927344894494422, 2.7869842144731245, 1.7128302947742564, -1.2342860742019206, -3.255136760813344, -1.9445519285470285, 2.2626867618266404, 6.28556025290273, 7.145561239552199, 4.61804838429863, 1.2213038435094663, -0.3376837965101466, 0.37660153852996053, 1.5604595129069283, 1.4105621807863329, 0.036471870047798685, -0.9452026020372946, -0.47943693403276194, 0.6504066183019622, 0.7856941209096084, -0.5763489110453899, -2.094014930440519, -2.0839092321399564, -0.4883071325321681, 1.0208203041754156, 0.9928990749773732, -0.05726030814544887, -0.25162125121482504, 1.2622980451880113, 2.9230552562394796, 2.225099679622265, -1.3317162772552358, -5.115142245210906, -5.616140549574556, -1.9602789301875176, 3.0214428983040316, 5.421359935664756, 3.9299688011719853, 0.7835387816120427, -0.8521493018386409, -0.11787252296697881, 1.1106678466069129, 0.7743577224796008, -0.9337032653992765, -1.9817989713045516, -1.0679306237231612, 0.8027620236363922, 1.5575364826390854, 0.5215364014841808, -0.8947126973365586, -1.0535822647382562, -0.13175730504160085, 0.21525696331457653, -0.8662168822715804, -2.1386324276281536, -1.76409184271935, 0.14827729309036536, 1.2194950383469434, -0.5341034225025737, -4.027379592241143, -5.786028532272154, -3.597525863894773, 0.8703611574938164, 3.6005106485193172, 2.403637063518548, -0.8481412184913857, -2.4092815783841837, -0.7737211589212236, 1.8988430344961575, 2.4848141979226366, 0.4489102209984946, -1.8112966071890637, -1.9600600566158117, -0.32990560202481, 0.8484008229874842, 0.35096480823988085, -0.7081053394964196, -0.6220633523922904, 0.5379189012529146, 1.0676658279395763, 0.05736150893854146, -1.183304618207812, -0.7342403606306984, 1.272732525030463, 2.4966869559199454, 1.2178415249121637, -1.3187248787479127, -2.207353195163048, -0.5040314185437114, 1.3115244282425211, 0.14953641360515713, -3.7452068554952507, -6.556824462910344, -4.985364088767621, -0.04893020721150333, 3.8645638259022994, 3.6664275472339694, 0.6151844332017289, -1.5756723523983445, -1.0477689800547019, 0.5877358564321569, 0.8422334535141299, -0.46702550384829605, -1.3909459636814079, -0.7664876212662011, 0.18637891049480543, -0.33587489770421197, -2.073928605448947, -2.8776598784728944, -1.5381612309051933, 0.5203472697339329, 1.0423776471907367, -0.09934477677294382, -0.796011332289187, 0.2830505218722741, 1.60022962518631, 0.660072940091395, -2.3007994730655854, -3.812485330735653, -1.0891260711465087, 4.184021440510281, 7.095757321258397, 4.752179983205897, -0.5281756825790028, -3.841691145856303, -3.009284017323889, -0.3633943805364993, 0.7026749784380112, -0.18761874297646636, -0.6199643319646885, 0.9058564946489013, 2.89530018378288, 2.9885927530868335, 1.1995366786006694, -0.1378239282594379, 0.4779777273347986, 1.816726607745663, 1.7864587785190347, 0.3761662724726846, -0.44687643553477197, 0.30372676813385285, 1.0854214132415314, 0.06774577121523125, -1.8692215191563442, -1.8292220021872818, 1.1487218471670717, 4.103971732350098, 3.293433899860215, -1.0673824017011522, -4.546726610029812, -3.4673528512488474, 0.8249141705120033, 3.6670883509996144, 2.6451386981510128, 0.1455177999496412, -0.05105322406885447, 2.435124375326305, 4.430428452989764, 3.5097568363731417, 0.9528934322257023, -0.2732594358787279, 0.561930287097196, 1.4045746567458008, 0.6114918923628964, -0.7989534452611853, -0.8821927367874693, 0.24248199473631854, 0.5844391804310926, -0.6056367745537414, -1.425579982249666, 0.06875259846858521, 2.7795447323813596, 3.6010459176237175, 1.5500739021029981, -0.6549179547650715, -0.11039986649066687, 2.135134246784752, 2.10350539518764, -1.8276351165964417, -6.231672316577825, -6.401930170031274, -2.082034612633639, 2.105581279552832, 2.130771709536295, -0.9444634045180411, -2.8646904649796157, -1.6159079497662998, 0.6426874484572551, 1.0787538055538883, -0.10080477898387107, -0.6010689787659335, 0.2728134276176674, 0.6976005264716111, -0.669309372292813, -2.3885904648836838, -2.1464133669011343, -0.1395954926148331, 1.0675093080123015, 0.1533088392358982, -1.0759591349821809, -0.36952074792730305, 1.532678459626387, 1.8712990702165335, 0.1384446990958545, -0.5738782266693668, 2.316397192356704, 6.6107308941301905, 7.153438614738092, 2.102499665269499, -4.320732792993593, -6.445816032080506, -3.516702110205771, 0.0638012853739491, 0.5076677937189972, -1.213971680916268, -1.7581872643677694, -0.34920450233192807, 0.5885206952102703, -0.5806471400765617, -2.180278919051432, -1.714015925315503, 0.4659535138518094, 1.689879798326935, 0.8094007048336747, -0.32690067256196653, 0.1783110571767581, 1.4082156017025174, 1.1697680061889308, -0.43405556456429273, -0.9825637137342763, 0.4032952871179824, 1.1279534681553793, -1.4127239982330262, -5.47352641025367, -6.281274302983899, -2.0638904181874578, 3.1473969698843547, 4.131514139011036, 0.8035583539352932, -1.978827658905473, -0.7902345569493345, 2.2745689632324044, 2.936868300836503, 0.5689224552988204, -1.3774234716662435, -0.43310381278064153, 1.6629982478472398, 1.7924482844260652, -0.12538439601761653, -1.4097811033661671, -0.7291496508765549, 0.2034968600697219, -0.402350929365402, -1.5983436997483618, -1.3871380845711518, -0.182397767343921, -0.44411843522331174, -2.7482733476008065, -4.323601587323376, -2.7639414033281975, 0.2567396078872884, 1.0287283218975647, -0.8491729625280864, -1.5485091395200814, 1.638716316984643, 5.96339739216385, 6.336083100270291, 2.0926451742683545, -1.798636723186252, -0.9616920456848554, 2.9693006334019154, 4.831981517618856, 2.6640542925479447, -0.3724298823056578, -0.8267358138856445, 0.6654630060782549, 1.2137484109674779, 0.22742938893149844, -0.17992402539231542, 0.9887436455100742, 1.8317237246672908, 0.5845952461105488, -1.3737787569857742, -1.3989425711857821, 0.3986760253421895, 1.2203322596858706, -0.18319968228087613, -1.5438191247217827, -0.5698478403151164, 1.334460048751139, 1.0923628638662717, -0.9374894113853803, -0.6668385743081013, 3.89919584592074, 8.777071694007372, 8.251789017824496, 2.1964788945675386, -3.3949103362228024, -3.61608091797037, -0.12989589482291866, 1.956516348628567, 0.9182187599597844, -0.37073539475826994, 0.4541740875688234, 1.8355713183602118, 1.2225065570899183, -0.7070048297862414, -1.0723499347193686, 0.7355794865836071, 2.127890252704142, 1.2856723324946087, -0.17436488182376503, 0.11512902440536754, 1.5517652388964591, 1.674790579877338, 0.28989159023094874, -0.1176749587193041, 1.374517577397827, 1.9845824255815678, -0.7519296335140997, -4.399299033203505, -3.9223697183397688, 1.4264259131160466, 6.303440292323753, 5.751421765943893, 1.452981247600369, -0.7883775297139883, 1.2024205086842148, 3.645425865626435, 2.6392830080526712, -0.501282824746761, -1.7097658413932204, -0.2081404180289031, 0.7958264010841452, -0.7577198908934283, -2.8116135399793016, -2.546225928031619, -0.5421343449834537, 0.5132849782884205, 0.09638076974240956, 0.22559652610894407, 1.6176046011054412, 2.143398818692598, 0.33752644581364893, -1.693713349164104, -1.0936993391339205, 1.16762619024104, 1.334279755640095, -1.4263576828861535, -3.249152548013333, -1.030994268240458, 2.599850154698351, 2.5281014741111707, -1.5291870694762872, -4.19671576397404, -1.694002754236636, 2.926595249670675, 3.9332125859817344, 0.5319544135958243, -2.616644376145045, -2.108191987991966, 0.12489775787999234, 0.5546054923164581, -0.7526864468779777, -1.0951197309554435, 0.13282819490612668, 0.6994227895185093, -0.41361395911442767, -1.0993633106846343, 0.4093334377631608, 2.3653724322803167, 1.9923253327416273, -0.13173242680737624, -0.8722902962443921, 0.5109249217390798, 1.128449677879943, -0.82091053961562, -2.797243079507471, -1.7707460532584662, 0.3894282229247708, -1.1767730142875674, -6.954446688222849, -11.023737641964301, -8.23046371374204, -1.039473977746891, 3.5172615560834313, 2.591235722347392, 0.02899304308869416, 0.029051355077914898, 1.6776591360491657, 1.6645969711958002, -0.07440971002490365, -0.5989312065641217, 0.9805423850201814, 2.0442138253811137, 0.7814566817928262, -0.8502872011229425, -0.28210502518877656, 1.552090971869903, 1.762006728407531, 0.12332321624184285, -0.755434819891428, 0.08221163845079409, 0.34856342574584187, -1.2853392195104407, -2.125516120503799, 0.6966051370718976, 4.8732605235422355, 5.002685319906576, 0.20472808926617925, -3.8107123415829993, -2.042244619537953, 3.0748701181487545, 5.089235462215269, 2.2070444940554843, -1.0287201988036099, -0.8032608342070037, 0.9212183256508343, 0.3021954317930866, -2.232245115786974, -2.9516582968574614, -0.8024459937853266, 1.1147105158236073, 0.47482971732761114, -0.9951061356105431, -0.7549052801484171, 0.4861423145820456, 0.43044184643881855, -0.5955989758759757, -0.1899323573547032, 1.6760723206736543, 2.035301625909726, -0.2590298823314915, -2.0643681952218156, -0.5160921902485776, 2.123327324341839, 1.4354072431285156, -2.227093644528429, -3.6053329387429494, -0.1421722649175762, 3.844618371272481, 3.076546787339389, -1.072775043539635, -2.492143272030024, 0.9838900088214028, 4.764748962434768, 4.278338571792127, 1.046936112394787, -0.3941512142041689, 0.80107457447969, 1.567435749615437, 0.44132736946277346, -0.4433575720986282, 0.49079304458213296, 1.4370866302962169, 0.44256078717512315, -0.9822624507981513, -0.22516754295188132, 1.8826460111999974, 2.0866409957026497, -0.039684268503063766, -1.2356608115566485, 0.1876073778529379, 1.4784687261138494, 0.015015763505981718, -1.9006896829752393, -0.361322920834476, 3.235143475385891, 2.915187127919105, -3.349612434107805, -9.693922201546373, -9.48214435226605, -3.789777412669761, 0.6364372075581309, 0.5335569870603636, -0.7927709436569553, 0.23851560131777583, 2.2412487799782244, 2.0906983430999184, 0.346913417308406, 0.017174611336717816, 1.3092501682919597, 1.3562455610970023, -0.7655520687160474, -2.2502275789453656, -1.0373669315986522, 0.8809736984998383, 0.772938276322042, -0.5040922129658235, -0.41254524792259384, 0.48489559551037736, -0.6589005333239378, -3.515811469702557, -3.9678566956017685, -0.5383549276021922, 2.089669178227137, -0.8318802251910367, -6.693875580421455, -8.304511794945926, -3.595612695403771, 1.6859460522620606, 2.1043913735074407, -0.5505141286580568, -1.1744939270803725, 0.7665214221648351, 1.3626894732171693, -0.8216464311681708, -2.4526475473213667, -0.9588848798708139, 1.4388775328709136, 1.4693067699726194, -0.1713227529282125, -0.5478065134556634, 0.4726040966535199, 0.416000629563204, -1.108312672176129, -1.6131018045126662, -0.30676563566077164, 0.0793771991485883, -2.065529486098686, -3.7857200076283615, -1.8270425385779676, 1.6898492408340569, 1.8612859673828424, -1.3375901355246065, -2.4193852596990264, 1.4250595967409057, 5.639593848283537, 4.728622333437837, 0.3727568864388535, -1.0740684321929508, 2.080437914118706, 4.73827052876456, 2.8535222971000413, -0.9608518242007945, -2.004948946936141, -0.3344140144496166, 0.48664452780313683, -0.457851233975533, -0.6532579733451487, 0.8241135133065604, 1.577571488249134, 0.24849139310924948, -0.9210866833891598, 0.011199340354908851, 1.053681696583908, -0.49806315174265503, -3.16193199347307, -3.2241346701172993, -0.7268298529986402, 0.5517572261027579, -0.5224208276696103, -0.3745816795921844, 2.91401255459322, 5.032854543979622], 'positive_zeros': ['0.34840046972137953153425949092', '2.722952878996339733351068784346', '3.92435787373010276894329867855', '4.79782836007281418564388931124', '6.06161513606296128350026498289', '7.174838663920358248920162124505', '8.14188437502445702985210279569', '8.92605325261371381529601842780', '10.74401609094589629046297694649', '11.722551394396589655463973072184', '12.78771829454674495107139395879', '13.439668342932344339034389106529', '15.00906255076349168759445626035', '15.28445504338092244843360716361', '16.36723060493812660768386908119', '17.271707441001900737318523210966', '18.31472209487354651128198294353', '19.619986391362310108118239623583', '20.467353788012250666802221780046', '21.53218605121623895805257253950', '22.627195374982833605556699019761', '23.16335997949134854491160603807', '24.22862155353394287643589011462', '24.74000149949030794348595193352', '26.02579295690867745295007029907', '26.67151283494776265786906285851', '27.68907689036778542752815639134', '28.59719030605140795948419159574', '30.18113164146240872102896596222', '30.52933193480921721673738060407', '31.57025790446699749922204291084', '32.31542181803564952593516532073', '33.01889544916770414271254545628', '34.14470701606614561076536564308', '34.98140731875894063690181780785', '35.39396535956959259515726968934', '36.4631553324203749963499735267', '37.61828642970407162366071174904', '38.84827731029654323160657843693', '39.400614069292045817516931871365', '40.15303540083725617447965110979', '41.11231618487410492117113329256', '41.97714326755584527944749460956', '42.85983535580943159361140111802', '43.22670667092919536053986928116', '44.35188435413375833629421030424', '44.94239621743358526569159499611', '46.18843750608529344059552613419', '47.10406508815616110784754082539', '47.89760180599138231453996207289', '48.8025222184177953336158569387', '49.74743292186900804982174334985', '50.40623497867232984865384086771', '51.11469257752456156445254894805', '51.8869614205960855774071547426', '52.62731644972315154387802806207', '53.58474488007472974164966408099', '54.44162697997083963102658806820', '55.01544725222097630482186030239', '56.25293306288360857996154213546', '57.2497748557658878518263433229', '58.00234541373712020985881619824', '58.65373053388022457282159908139', '59.59527938220221842636343526426', '59.91096981822058849215380515313', '61.15914421178221086477824696270', '61.85190296408176017229994191531', '62.445336383230756330895913006082', '63.20428677915350628029406184542', '64.131000877715788845461037347199', '65.280454707216072699965294083310', '66.30469143608673103600457747959', '66.82421956007721069899263655857', '67.35745972775675645148865586262', '68.68120815044201967046772454566', '68.9297751732754168628227818997', '70.08722783949452680900205696816', '70.541210822307293674576672354444', '71.26104442777445469596231978979', '72.08823328532508711915650823241', '73.05643027159694683044889175650', '74.00479599212733203716504910306', '75.02693726506874625377187188463', '75.322939366987926019465346424097', '76.7300258745893413658302546190', '77.03849872522409899596520587615', '77.936438673320961441700828393494', '78.68425372419654722749939957826', '79.244727135888264268844163405592', '79.99158448472202517178091030069', '81.12512373278313286929524490142', '81.57965732350330986307779475384', '82.38137431848052544058301995946', '83.56789272025842716008482122548', '84.28619686526133712412059978895', '85.20910979639310378651204862446', '85.91194512876970466030839926545', '86.483549818383987149111751853562', '87.07405811056726377194275753714', '88.14648034796593774379398645078', '88.78048215946663903973917566482', '89.437640367117989658882290213159', '90.33587501662177121279025824716', '90.7311866747490230810530754593', '91.96973316857460764088298682252', '93.11643864025231455194667205253', '93.5425815720758233128530744682', '94.44392509180923200054853294893', '94.89568984765688180512535298943', '95.87261859830228590626564181705', '96.74678602960883977140553680309', '97.14027713393278431919938495438', '98.041522973646721641256318242491', '98.676532117719378956874416029401', '99.25007224977812213834316729381', '100.42375866297075564967257254610', '101.31480844426696688437817549406', '101.9549154206819163310315136926', '102.876849769390748963893846928024', '103.49889244699504810564671273279', '104.356332237288921055773803115286', '105.20067444166484508679903392539', '105.510286759135563519544508922947', '106.669808774767196731691644024011', '106.7106848452608363051902860806', '108.0931716907691650455668163726', '108.62865480729364173014017781177', '109.254216081430887474959234886481', '110.44811705600128628829769896591', '111.02168846362677385367006339980', '112.136237959417124485392908454907', '112.68198847143050780569873056523', '113.508849998058798076649922208051', '113.82851717011008252387372922798', '114.7720659220627576571370171187', '115.559362436484061778901029364243', '116.22047643903454190157000204541', '116.960080713838784452719879778200', '117.66758107763539602609098042066', '118.19222894840378303845461945096', '119.47590354283660287037750984805', '120.32407489877347753337416923206', '121.11098431191511278845843948894', '121.466200045990781296894215746369', '122.38024794852888318855610534654', '123.01809476714489085535560995873', '124.00661620001460080324522250772', '124.34458852640600873139533829599', '125.38941618170316397313299773815', '125.6666157254408633153321080095', '126.501951539662574863981972026240', '127.42885593894645652492065595970', '128.56651047855741910451927194442', '128.93110478707924790154105921139', '129.94629922414255795017814088655', '130.66019560737955831815129586442', '131.14378732783618743251360149532', '132.28808845988779820849833464857', '132.8856982672584432464881364682', '133.01273854850562781900139014356', '134.10424668916797363961036038747', '134.83591109247000853949498000691', '135.48441656801278103627806718657', '136.331081158376872564684782029053', '137.082575968369059833417827726078', '137.921520503605359901686632245222', '138.78991576051182158609812501004', '139.66570806259993383484784287727', '140.14614413015232460849455489935', '140.906953007113883585141981148129', '141.471172341086371988464335226801', '142.12966291607741840261385601862', '143.10407722628723464776371676586', '143.65427906898920946071169379831', '144.27509465302687161394062911963', '145.22987887524105165181963165972', '145.51397635242074629569892564006', '146.92351973685256315296146427782', '147.818234532997065447713915838501', '148.118389212307810088077887863378', '149.04840048231030609518966406360', '149.52326208263640829034716145366', '150.43453090190734317088356437068', '150.986949223589609489537994259516', '151.89794699412393650957809467718', '152.47595751238636208339196158128', '152.90770815112415493249010341833', '153.69824226605491322360994190990', '154.6988846991940486435003594119', '155.43907282214764334995206647615', '156.43245014861324423742809998089', '157.00575120565714447278503606291', '157.54204754499535870645533267610', '158.53487153832237545591025314972', '159.15076157486383343844169248622', '159.865721855165481836565841450002', '160.438119647947408624359652741607', '160.97493382714259664773010918375', '161.846150932791808657460222297979', '162.55407083677043343820205923565', '163.25637392048051978298891450052', '164.07163504221702688193279239340', '164.91802817305935869622506790121', '165.558497930273368767546724741825', '166.70176927529758818095235032612', '167.02381130746493684130203328832', '167.91110459629621592821302568629', '168.32482369371154821689628112410', '169.14078626243301744597278835100', '169.72239605187419292254602198592', '170.61959714107460968263127973086', '171.22136976374963153046199462975', '171.87690366069224200558483124347', '172.53206307675701033736188587919', '173.29564101652492223601167009614', '174.61338102944440354840506663769', '175.0993542873192010553046935132', '175.58859108042825621537306875142', '176.65651577235575904439577433855', '176.86836158957968973407374220325', '177.7151737481272660931676855109', '178.584991827484416546624911446406', '179.24000831020624486988361792610', '179.80832052965851173654527769682', '180.2159329352678459682262679885', '181.29128512105276882759225971789', '181.82505328805400643915948725007', '183.00097545495754901665928013787', '183.68212322476908705116978890335', '184.26291182253804171925434230582', '184.90375133756330470686143443775', '185.7353708016211864082276629257', '186.52620219164009625912028743925', '187.048989842374356794420723569', '187.59892646123034805272397731758', '188.51341832865436752636261930612', '188.77237845341758279932726446307', '189.83770925971254887880269624006', '190.50372059489802457197997203978', '191.161981948433202891429513672951', '192.21923537361528178435373703411', '192.64205955748366294683298136691', '193.66076192338039512236517488859', '194.43819135147277360614572814499', '194.87404491382459922154841933913', '195.47215133018554061944836115514', '196.29371686702936658154531853529', '196.87280178289501646244854969378', '197.4399060376943547464609134703', '198.54047887613189318320953553254', '198.941487721658335873537077463480', '199.427245133589998321004247695432'], 'prelabel': '1-231-231.206-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 24.82439762755838, 'root_angle': -0.11876043991348892, 'root_number': '0.734277981302568228482636648641-0.678848912626532284009873687743*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.118760439913', 'prec': 40}, 'spectral_label': 'r1-0', 'st_group': 'mu(30)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.05982430235985814067674559520+0.277319654603184827844111246030*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.348400469721', 'prec': 40}, 'z2': {'__RealLiteral__': 0, 'data': '2.722952879', 'prec': 34}, 'z3': {'__RealLiteral__': 0, 'data': '3.92435787373', 'prec': 40}}
