Table lfunc_lfunctions
L-functions
{'Lhash': 'dirichlet_L_324.239', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.5971585917027862, 0.8021231927550437], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.8354878114129364, 0.549508978070806], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 1.5046496743203441, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [3, [1]]], 'bad_primes': [2, 3], 'central_character': '324.239', 'coeff_info': ['x^54 - 1', '0.993238357741943 + 0.116092914125230*I', '\\\\zeta_{54}'], 'conductor': 324, 'conductor_radical': 6, 'conjugate': 'dirichlet_L_324.263', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 0, 0, 'a^19', 0, 'a^59', 0, 0, 0, 'a^80', 0, 'a^16', 0, 0, 0, 'a^39', 0, 'a^69', 0, 0, 0, 'a^76', 0, 'a^38', 0, 0, 0, 'a^47', 0, 'a^67', 0, 0, 0, 'a^78', 0, 'a^30', 0, 0, 0, 'a^25', 0, 'a^71', 0, 0, 0, 'a^68', 0, 'a^10', 0, 0, 0, 'a^9', 0, 'a^45', 0, 0, 0, 'a^28', 0, 'a^50', 0, 0, 0, 'a^35', 0, 'a^61', 0, 0, 0, 'a^48', 0, 'a^6', 0, 0, 0, 'a^31', 0, 'a^29', 0, 0, 0, 'a^56', 0, 'a^4', 0, 0, 0, 'a^33', 0, 'a^75', 0, 0, 0, 'a^34', 0, 'a^8', 0, 0, 0], 'euler_factors': [[0], [0], [1, 'a^19'], [1, 'a^59'], [1, 'a^80'], [1, 'a^16'], [1, 'a^39'], [1, 'a^69'], [1, 'a^76'], [1, 'a^47'], [1, 'a^67'], [1, 'a^30'], [1, 'a^25'], [1, 'a^71'], [1, 'a^68'], [1, 'a^9'], [1, 'a^28'], [1, 'a^50'], [1, 'a^61'], [1, 'a^48'], [1, 'a^6'], [1, 'a^29'], [1, 'a^56'], [1, 'a^33'], [1, 'a^8'], [1, 'a^23']], 'gamma_factors': [[0], []], 'id': 19433, 'index': 0, 'label': '1-18e2-324.239-r0-0-0', 'leading_term': '0.414112431440084760368159692090+0.733600031367648093195467483537*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [0], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/324/239', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 14}, 'plot_values': [0.8424120796236441, 1.4346760265181535, 2.1839256848526234, 2.652464279941549, 2.442665830866935, 1.4807247388855282, 0.11522433454303765, -1.0068162961496163, -1.2739232643282732, -0.49626996579630606, 0.9020961609463289, 2.0627126461539387, 2.1993170498683576, 1.1384908257715232, -0.4868983484942312, -1.5907727099583615, -1.3599311725692427, 0.1319805350197468, 1.898344984837493, 2.6926617357879223, 1.9151238246537905, 0.0943937936793638, -1.473415428958082, -1.712120908318142, -0.6300313373106564, 0.6575493250920801, 0.8290571240706737, -0.5116073123077118, -2.4217443101947462, -3.3348083507770117, -2.366672766992319, -0.11732081608858944, 1.7643469108834158, 1.9400002583766502, 0.5100902624414735, -1.1030525506225048, -1.456190301316603, -0.42159369326831203, 0.6799789679510683, 0.32572563148944167, -1.7010536177015294, -3.9700207659676447, -4.623939857927638, -3.0788512844323694, -0.6053628860602763, 0.8071996728641468, 0.2696916052467378, -1.2383713030705485, -1.9120046609282577, -0.9720310670666718, 0.5148473165945694, 0.7086557661017682, -1.068049924108974, -3.4870025135046614, -4.3875151085935995, -2.8630137449324105, -0.1745645708146264, 1.4704483128604808, 1.0765095953780246, -0.2363152336567872, -0.5192793516036633, 0.8623505909982305, 2.494834246775688, 2.408259439644236, 0.2489706758935955, -2.1994338309745096, -2.778492444079688, -1.1884753391777443, 0.6898751216888355, 0.7774004016839235, -1.0038898595905208, -2.67964881768264, -2.392839096119777, -0.4404663875541162, 1.0658209616550198, 0.5634158488723116, -1.1884645474185358, -1.9364258512927952, -0.49111401684239286, 1.8347008850644415, 2.5771028908095563, 0.8242083145629793, -1.733846611948202, -2.6192850046461205, -1.2470318529526079, 0.5323193516171585, 0.6317219690616849, -0.853267936970316, -1.800559296160749, -0.6299770621248635, 1.7042563321274433, 2.6803358827230586, 1.1007675077895647, -1.424665696271428, -2.1893070337762013, -0.3942059340364134, 1.9962386287582548, 2.5318429356210017, 1.026295622163249, -0.43215253411519655, -0.17531053638077426, 0.9137736202503457, 0.4555419083374801, -2.3899867763793954, -5.571093724366965, -6.224172046762526, -3.841529194498439, -0.8093076737526994, 0.3341038198623223, -0.3254776226409418, -0.5394124429554136, 1.0536204473141215, 3.0841956891870153, 3.1262932849586393, 0.8449920060351638, -1.3221839280290228, -0.9263678360828936, 1.5713444293671937, 3.2993993275302578, 2.3528556153901303, -0.026696488829108116, -1.098866252788717, -0.028681011830691754, 1.1833934718473922, 0.37777677386006486, -1.8832971410732886, -2.919973980557439, -1.331839388448114, 1.087935034114059, 1.4201923591961285, -0.8251912439758132, -3.0992826453391484, -2.9458321432005095, -0.9754854783711087, 0.03351134063420473, -1.264847246280556, -3.080032369854667, -2.8485178346622253, -0.6149593517921267, 0.9579247623991062, 0.01878487578976546, -2.011589619493273, -2.1882699463217565, 0.16197341360669287, 2.4637183852094227, 2.0526609009632413, -0.5184645571879052, -2.2349018635156086, -1.430771863325723, 0.2742902082559828, 0.36896464296907716, -1.0502762967282777, -1.3602511740138814, 0.9677712589746842, 3.998312042274632, 4.4827704014806695, 1.8943415014629785, -0.8540678527920507, -0.9815322088423943, 0.880855318381115, 1.871020220659779, 0.8390930247619268, -0.2401169568109988, 0.7710140684225937, 2.9114689447218307, 3.103509229599699, 0.23400844753161376, -3.0866322347128508, -3.575033939412644, -1.2691702298759577, 0.7116182330728915, 0.2642237948720167, -1.1830949248897231, -0.9819034860837317, 0.873336697667375, 1.66785882150927, -0.1875663549669286, -2.6831045903785244, -2.6431934156994736, 0.06404690571476708, 2.2103439996044187, 1.3134067469899389, -1.2530990632048482, -2.248304812568466, -0.8956917978239212, 0.31243623623234795, -0.6681347429651391, -2.41459092280121, -1.9612909981996864, 0.9494330888978328, 3.2174317388733575, 2.3828407808277587, -0.11387325326064968, -0.8905852818807505, 0.8249814259094926, 2.249139971137164, 0.9697606728320513, -1.6777812431215526, -2.431791957962885, -0.5666511643036638, 1.212243727890539, 0.6587683221287622, -0.8287550789506404, -0.25814464974994616, 2.4983614072178217, 4.1520917210649895, 2.307267362606023, -1.229141137515144, -2.727066294070145, -1.309817734689731, 0.2830202885903827, -0.17441212817653648, -1.2954671521466041, -0.36609591633746946, 2.3536070896464842, 3.6118306938581792, 1.6541367267543565, -1.0868810112136027, -1.0586735594283605, 1.6852958472153738, 3.6169063090733187, 2.517676513850949, 0.2612758777182322, -0.14880768291619328, 1.108459073118529, 1.2102750569870557, -0.796504908670343, -2.1930885619698293, -0.33253687050481434, 3.3073969209332477, 4.679811715068619, 2.395689190042526, -0.5765868154335786, -1.0398798781437406, 0.33005462110574757, 0.5724316207479954, -0.8473405557548381, -1.1950753622382986, 1.256042742522119, 4.163929409609907, 3.976464194954092, 0.8253555497837647, -1.5538724460057607, -0.8824813139226715, 0.7442120064614113, 0.15247305139564887, -2.2310010308851878, -3.0608044312333216, -1.0268068257825624, 1.2111820144975063, 0.9454600493881513, -0.5804405037631208, -0.03612270300528599, 2.9295597998707605, 4.880480965649402, 3.3769113215968316, 0.4876263669441079, -0.09096103657673521, 1.813373525697529, 2.8361842245593207, 1.1175571506353175, -1.0235810010488624, -0.6390666193211916, 1.4236752981540346, 1.8399589718877825, -0.07699086211238207, -1.1436914551916704, 1.0356049483081697, 4.302362218355194, 4.719785547686927, 2.0087380112882394, -0.18178576720111292, 0.5145230897679302, 2.1159618164671796, 1.6892353593221086, -0.08589097047080467, -0.1003905818731696, 2.090626292016334, 3.1195457041835803, 0.6317780236598113, -2.951862476747033, -3.470900031936491, -0.6604094187113696, 1.693627567619458, 1.164482600370505, -0.3115598028734527, -0.012206236438800526, 1.1316357279950493, 0.09882759598142254, -3.0696368952269393, -4.591094262988846, -2.1610567177402413, 1.5335016442748466, 2.355424761616968, 0.2899474970729938, -0.9944631239950401, 0.2637262373188808, 1.5743249993823818, 0.4125874146543587, -1.6482200242911702, -1.3108967345287512, 1.1832377956926585, 2.079359875423852, -0.3674714881881905, -3.1294123567054073, -2.6868335324562374, -0.06914858279068227, 0.8266108824561534, -0.9440160426084176, -2.156445818799305, -0.4979027770824372, 1.898832975509163, 1.8469245094105118, 0.1290983628912218, 0.32564799945637807, 3.152207518230632, 5.031539478785872, 3.2740222320885395, 0.11191542917200407, -0.5612957668075025, 1.1282878079336374, 1.4801500854310365, -0.9796659422627191, -3.2173021465517793, -2.332441753967097, 0.09905569957308052, 0.6546173002792114, -0.5088400081015545, 0.019669683345329616, 3.217406416035858, 5.451037046237101, 3.486653346212093, -0.6932505889463675, -2.5523132591171755, -1.192589176381207, 0.09630928132208987, -0.640977000581542, -1.1979115920041385, 0.6566981051247501, 2.880801585149752, 1.8339471827914986, -1.9556523126643959, -3.985254099352625, -2.0353805509269547, 0.7950752561803648, 0.798352148358493, -1.0754387256484885, -1.2382676730081617, 0.7111966348368804, 1.5526200022410743, -0.08877839550365031, -1.2452649790858081, 0.729928269262358, 3.593192112370972, 3.1496855051261443, -0.4999276912798346, -2.938984805846333, -1.7539744376042832, 0.3607604852450032, 0.1935345174024829, -1.096935301367734, -0.374863708295492, 1.8787494589443643, 1.9306207867642924, -1.2501957775861876, -3.894892297438148, -2.8010272462351673, -0.030374332225691927, 0.33593806349031685, -1.624249460778621, -2.0945470830243607, 0.27892940130073074, 2.21945973932333, 1.0359397915968491, -1.106936315461847, -0.6438868720131872, 1.7323309155897775, 2.2559834509528525, 0.26382080591411156, -0.5371025102022536, 2.084184604226365, 5.0759181731181675, 4.467731658670264, 1.2461022332394767, -0.3227793444235686, 0.825552631377761, 1.411842134138453, -0.484695338493398, -2.233405333001489, -1.1213046075792148, 0.8408156232064783, -0.19922439362537692, -3.685714992185973, -5.039456761290159, -2.3971304794387702, 0.6513151209250049, 0.5152191435879049, -1.3053695905071656, -1.2265472467449126, 0.5103344774347961, 0.6043464254312914, -1.33011352247876, -1.6175558993256138, 1.566109015281027, 4.665853157112651, 3.6302514037021814, -0.1031122559830758, -1.8001213039702395, -0.3627843660027665, 0.7113988047160914, -0.601252010339929, -1.7571149734009923, -0.35717347497527835, 1.3647072179563862, -0.045451752424664746, -3.300909638936658, -3.739624204983122, -0.307826909996852, 2.7275524802161364, 2.088912673178555, -0.029098244615787902, -0.08718420037854423, 1.0315750033613775, -0.07440009683290458, -3.12268367821897, -4.059316339990448, -1.4553598405597734, 1.0090849568712856, 0.21574656818984336, -1.5615329483854454, -0.4632955081644684, 2.595927907278732, 3.257950063978121, 0.6192175648791691, -1.3730742415483799, -0.17514072556445592, 1.6079701671988118, 0.9026965024028124, -0.6010200432017332, 0.6462129058400155, 3.804597091393196, 4.5139907954853875, 1.772508494207027, -0.28397818550138015, 1.2293358256855489, 3.515229144704979, 2.6531042033470564, -0.25876366748915136, -1.1677184965361747, 0.306381591051302, 0.6014516312728161, -1.4564954760430735, -2.4472577163760016, -0.14254901491464678, 2.2734398232756647, 0.8604977296897858, -2.7480950940313513, -3.589323814977254, -0.7894834685414011, 1.494864487178187, 0.7470396747416687, -0.588157842808419, -0.13498867492682814, -0.042343313101388114, -3.1029150386946367, -7.028399246803184, -6.9184062482128725, -2.594424663177735, 0.8933856137595154, 0.6046506068637283, -0.605141051966699, 0.4928236613237124, 2.195282110790943, 1.2479066130735528, -1.149317735031397, -1.0544922833675092, 1.5344424859062764, 2.34751955881024, -0.22379837423030136, -2.252559967346432, -0.401927095279088, 2.74768413210098, 2.774235239858928, 0.21872944529545618, -0.832030950545027, 0.32097332300719894, 0.17892213575779342, -2.482030361325961, -3.9917260864554303, -1.6976722040898402, 1.3713039170560524, 1.0789329804232006, -1.3034455967698726, -1.3253335185342112, 1.3126103619229195, 2.3596336967521228, 0.10435840038063347, -1.8253153198706538, -0.4972461353029358, 1.5952001711095, 0.9288791402674882, -1.0556393179543695, -0.5253027121746275, 1.954321428349528, 2.0279965538484026, -1.1565763817139465, -3.0984872144941655, -0.8940936965226663, 2.216979372036443, 2.0475800509634383, -0.1985815989315261, -0.6250076583521855, 0.6392829943086302, 0.16384169458393652, -2.1063317614556754, -2.026490108843454, 1.8127740264530987, 4.9778926912008, 3.602757515068793, 0.21804968634970084, -0.3996356925079971, 1.4794587962266559, 1.8097322236736457, -0.10877419690770022, -0.8334925199755794, 0.6809423599559413, 0.8300563403777615, -2.37315491546283, -5.146644545192832, -3.444065221155866, 0.5591593790869931, 1.711403568719222, -0.31459791351564703, -1.2413507195109024, 0.4066975709519923, 1.2477057290241698, -0.5868300394739591, -1.9407813995423326, -0.16776612205795832, 1.85151654510842, 0.18228005869838454, -3.3963433871729967, -3.816718565821297, -0.6368461944600842, 1.4997673620980043, 0.44219714706757757, -0.510231035002499, 1.1355496955450624, 2.574674302734985, 0.6792607549530655, -2.228353939915785, -1.9345881894873762, 0.6381428739906203, 0.9326878344711068, -1.5954584418268218, -2.59716212870882, -0.26602651963002427, 1.4720229411066073, -0.5343912119317106, -3.3788734931786966, -2.864225066116708, -0.19201879607126351, 0.582642898283113, -0.3897627227195215, 0.5340040673181222, 3.35473475662098, 3.5571839488721744, -0.44347774767598597, -4.034273819925615, -3.211584868357367, -0.47387166374575024, -0.2632680111419084, -1.8290981498006893, -1.3172022157678254, 1.0660501399945723, 1.405921971062153, -0.8030058985147672, -1.4455049841676728, 1.0465247994597555, 2.473951341627942, -0.41357888355694694, -4.2772368537843874, -4.19821413358238, -1.1711151549216412, 0.11120730485382388, -1.0368035314012227, -1.1581053379815611, 0.3643304863084082, -0.05826727697469738, -3.3714397425648226, -5.034759721804832, -1.9128867433291474, 2.323006886396701, 2.594401993652836, -0.05399885180793911, -0.9823315868168293, 0.21749453303263488, -0.11825911633694508, -2.4727726975178914, -2.892798785766357, -0.055705825022922484, 1.8501991889467184, -0.10303280136598686, -2.571413900930783, -1.4427513098163438, 1.3360973665813773, 1.1798851825375325, -1.348831709952783, -1.647736527572539, 0.9951902143908409, 2.3255220076522987, 0.5574036102017798, -0.7228843109809563, 0.8375256624745739, 1.9633447747820396, -0.524860020254027, -3.7419250273920284, -3.1413438908885123, -0.035455948986504976, 0.6193902484621745, -1.5426983126031386, -2.022604130228501, 0.6087808041403268, 2.311776152299538, 0.6432021213199854, -1.1917568289130192, -0.275865281953158, 0.7531459013748006, -1.406164704583381, -4.197214503922306, -2.8546726690729787, 1.5360275810312627, 3.336108288345563, 1.0591245030806378, -0.9760042382364198, -0.3165065590156516, 0.0708314343390746, -1.9719766864867692, -3.401497816632054, -1.492004393697274, 0.6164005825596777], 'positive_zeros': ['1.90165414572303397667711427930', '2.93053436895733720471955930683', '4.280720881937608252906119139548', '5.29001104598650491301044381118', '6.57784821633313525202921976772', '7.637816666008697733252902513111', '8.346806780292050846857384470996', '9.70306862938635263107472653701', '10.71274028170020158772951730191', '11.66042011760215840761023940169', '12.25530645976657341191797911397', '13.84280002073711378108812867533', '14.4349807952602093433472816692', '15.50449315072888890380202082450', '16.09815961067290655437500841313', '17.52220927633083339449721074953', '18.37487885078617506833722923621', '18.90365784481427914134598473911', '20.02850128510025232390418427939', '21.11436443850098044607688602847', '21.72312934767571657683293547994', '22.87952185720745398753587287369', '23.54434242767971954683678243030', '24.43967319714337410960651594152', '25.40820019864271970284629372973', '26.44894212487262938534660982432', '27.02693824326889650273036610213', '27.89892646393071136731525558881', '28.87993599454618067773152039164', '29.73470526511846537423653279588', '30.810836083647607423153114872091', '31.2995940327994716301990095804', '31.94422292012753236284174217870', '33.5759994928717805481656548827', '33.94770470401701792706968921488', '34.52059294772864845604329919715', '35.72330350214906155435595878904', '36.380179116642343144875554540665', '37.49608689774738297843541328021', '38.13054322871628097614028143132', '38.80798985085324920000561693288', '39.84660810577694599656091111792', '40.53158671639909850956528880950', '41.79655621202528090361726520830', '41.90676216026100170934574172243', '43.2094138600293327578919004137', '43.752961858989863668531598178370', '44.67010988461017478593816334087', '45.56587586576917923957972567686', '46.49937671788698245781314552473', '46.97025662538854262369511914481', '47.713747834950276378870910115795', '48.94092399039498617228517549795', '49.5508701022838291036836077754', '50.50390404436847449792845499408', '50.78774167891394688299533644889', '51.89443340909992303755757258171', '52.9734460488569674426424507585', '53.491975201354413278429926886768', '54.237316504871949558024192240228', '54.97856207605155586876868474002', '55.93099749102018803496786051125', '56.72162096783844380569392324120', '57.67621590186869607314543275069', '57.99376969688812517122350286257', '58.971736977612104954019536477609', '59.98355594995514605426712453058', '60.50468743196271320401933996785', '61.362256330218307653598256454545', '62.26277609058853307483323303694', '62.93598218719553527787205053662', '63.47483256130905558582814881229', '64.57374491508213372648014554917', '65.53575387524644422240475785372', '65.89294204156907099342328870607', '66.61067558976978191484068904949', '67.6691511862677785495737378920', '68.26393320636649407373487824839', '69.431194639643224897117673750244', '69.73692541431561107643358861096', '70.519646837801293235595429970950', '71.280005682609565988334914573676', '72.42254832092744031916318021752', '73.049806186192317453607051810340', '73.581670065814710525929144271654', '74.24947575994242632936583331203', '75.39072630784680818260985042022', '76.08442226646511969903463466618', '76.5861254081169226620780250556', '77.61803158448016531533358558029', '78.30325729048302769284653355779', '78.75529677654332645797987579654', '80.0854760551535784225086036333', '80.33696984874947843366400591513', '81.387606509711744527880779183154', '81.975796761031805032570759701388', '82.80145849641271429392491343913', '83.33446409986160313178306292318', '84.63363349333667089923898191736', '84.893665654085901037154415221750', '85.91844847738305989111946582073', '86.2708461546495291439706699028', '87.238434969603698990070645412175', '88.18928015309091122967750437077', '88.97352168153267835813718355196', '89.37811433872630853330057394050', '90.01199077940982866666047520298', '91.10726610087912266269162798443', '91.9153158479458613434766058324', '92.45651809323260374923882004604', '93.18143482989353241829486293025', '93.92095121184563305820477455267', '94.65321385646755151863600519757', '95.634384225684518638480760920921', '96.11400644670116584010788163409', '96.931868509700757688418507599969', '97.84704030293770782322182917683', '98.05668163004147829341504171601', '99.39028137090821109694466910338', '99.81014635805111285874135458693', '100.52380791184819709700856262752', '101.54664092868498951927280244039', '102.05253963794965817449682859593', '102.49712323940639355673122351086', '103.69383754592099989903860624525', '104.623776296218278956187675196925', '104.81062521154493143517187551307', '105.54635910447256708156107523218', '106.40867575420873039398401681326', '107.3899430301169351626020244616', '107.94733373683363597739752217230', '108.64547571703999207854338790356', '109.36185783149979749477501548455', '109.924034414345727813089238362700', '110.89768415472315742909133691432', '111.80063046285069907780302876932', '112.23149184472591231713155502553', '112.86710473731919209547869424438', '113.64564324546122337898800624285', '114.69218866582580415313188317587', '115.06741559207385069448546166634', '115.90757236983958198418739800132', '116.693814666016629429422360697955', '117.27707348903149704735627585438', '118.16548568696554566537099676889', '118.54059285183664422596785191058', '119.85457194348716377316477674691', '120.14023614255883504016297048895', '120.876745289442348311844612087107', '121.71356619391856273086208091672', '122.16495232258143688389290201943', '123.345080881472536606696100361487', '123.8374685938691231803215975175', '124.591183631598579306361092088102', '125.11169327415634039775339902200', '125.81195782747750366394737386076', '126.86561524793916843831937252502', '127.56055955349337716908267385216', '128.0228459717336724037497439174', '128.79867263799126831347185745458', '129.37029760552160178128829712463', '130.33590413518302296460809220832', '131.24365223740796892890262268904', '131.58615548602903343928698369119', '132.17843647558864663840483806219', '133.270160639830587200503005823908', '133.78199316528600514527147721677', '134.424980473244682567526203097816', '135.377130283308179616879686550101', '135.96190713643123699991701006796', '136.71599027418032892293085198060', '137.10651367721614622828423996491', '138.34040812464297671523966378306', '138.57755508811930269664012020475', '139.65606699186999246471075254968', '140.25324565648702731264525577282', '140.740143360413017055547887942218', '141.576258721986240164945008355873', '142.26301324082142075820149193358', '143.2017008661120198212849891153', '143.88866245575840593546946018443', '144.42178840896020475781305220760', '144.67722340775855091557154145618', '146.13239335085727785612255688616', '146.68121346927434943734878024305', '147.107182384840677548533502849434', '147.964589282602500273571319754143', '148.57545512596946217878221008912', '149.353256364537036679119136012471', '150.03652228656554784891908772821', '150.96710238528100741289739407342', '151.48462566113556900864037306266', '151.905473044030153111465737233867', '152.961679476885601258410591662621', '153.576136393699579851748884364086', '154.23058646687471256142988134108', '155.01119564160893353783892430429', '155.68620530128027592499968298882', '156.38177863418394969188898175807', '156.94490261914482541021997449397', '157.71206378202583262068314703475', '158.51430531589124268511248918190', '159.34266426132572719393387385617', '159.841510783093114372129627388640', '160.3386098894449121276275814394', '161.12345324214743477035325273052', '162.21624862365571753872903084229', '162.58085361068521751600957649779', '163.42026892299846982099626841126', '163.94062104467870002257379685789', '164.48463988798254748091813389697', '165.574775571434881077016386407350', '166.2069729724853325285359212431', '166.81190993984329300047694134918', '167.42277651085411463238937929292', '168.14395053312350029796493489846', '168.766191289660985187715551129859', '169.74707780474945018773875912636', '170.394187676229312623618431023698', '170.771181739263490057223626574340', '171.62658336210284731994064206140', '172.4166253640863075891600987363', '172.944921941212878686241245985370', '173.778713682571247704566897064952', '174.32300893858482971334571656661', '175.340992457246203528406829179412', '175.80449241939220844462807279831', '176.16951313547379270739077356475', '177.15895707928840614042029264697', '178.23958018363987979261403691102', '178.35387117786214545982953907213', '179.23346946080811648331873321496', '179.8949794858101362554583370616', '180.51523618312741836008515897211', '181.220113041499428621977738268486', '182.37542921006542185649959191581', '182.55752652017769839972382008139', '183.35786242019322749014138487241', '183.74179434453678212634527549004', '184.81182544669093257285034191921', '185.61806189689236825903352165473', '186.19157853683117963484889306035', '186.54077512458351754070702832766', '187.50532458997504466239891671606', '188.11476958592164619577476038910', '188.89857777852938062828440167714', '189.52286392250393728519555408420', '190.206482588420721447090775685457', '191.01732432812208981051111493472', '191.440112830412435968475389963663', '192.14319861869140876593964441185', '193.129383773894832223205145537038', '193.54513003771685706025872062749', '194.31322952845089715055839059677', '195.07955892283900071988152833402', '195.67369202555783675192618388043', '196.10245078864045416090818537051', '197.07761581359637046990674454846', '197.93054159735205144229108913625', '198.524935358379867373490229162960', '198.77141627455837846519157232100', '199.85889687151676479628501478753'], 'prelabel': '1-18e2-324.239-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5046496743203441, 'root_angle': 0.33641975308641975, 'root_number': '-0.516699371151862915724125463064+0.856166899530266477652035368472*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.336419753086', 'prec': 40}, 'spectral_label': 'r0-0', 'st_group': 'mu(54)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.810590929393782331710281124026+0.323730329767785704432712679005*I']], 'z1': {'__RealLiteral__': 0, 'data': '1.90165414572', 'prec': 40}, 'z2': {'__RealLiteral__': 0, 'data': '2.93053436896', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '4.28072088194', 'prec': 40}}