{'Lhash': 'dirichlet_L_2028.1055', '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': [-0.8229838658936564, 0.5680647467311558], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.3166679938014725, -0.9485364419471455], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 217.93886748349954, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [3, [1]], [13, [1]]], 'bad_primes': [2, 3, 13], 'central_character': '2028.1055', 'coeff_info': ['x^156 - 1', '0.999188998171570 + 0.0402659401094151*I', '\\\\zeta_{156}'], 'conductor': 2028, 'conductor_radical': 78, 'conjugate': 'dirichlet_L_2028.371', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 0, 0, 'a^63', 0, 'a^125', 0, 0, 0, 'a^175', 0, 0, 0, 0, 0, 'a^8', 0, 'a^143', 0, 0, 0, 'a^130', 0, 'a^126', 0, 0, 0, 'a^46', 0, 'a^147', 0, 0, 0, 'a^188', 0, 'a^43', 0, 0, 0, 'a^127', 0, 'a^152', 0, 0, 0, 'a^207', 0, 'a^94', 0, 0, 0, 'a^138', 0, 'a^82', 0, 0, 0, 'a^167', 0, 'a^44', 0, 0, 0, 0, 0, 'a^103', 0, 0, 0, 'a^101', 0, 'a^123', 0, 0, 0, 'a^144', 0, 'a^90', 0, 0, 0, 'a^81', 0, 'a^71', 0, 0, 0, 'a^13', 0, 0, 0, 0, 0, 'a^206', 0, 'a^41', 0, 0, 0], 'euler_factors': [[0], [0], [1, 'a^63'], [1, 'a^125'], [1, 'a^175'], [0], [1, 'a^8'], [1, 'a^143'], [1, 'a^130'], [1, 'a^46'], [1, 'a^147'], [1, 'a^43'], [1, 'a^127'], [1, 'a^152'], [1, 'a^207'], [1, 'a^138'], [1, 'a^167'], [1, 'a^44'], [1, 'a^103'], [1, 'a^101'], [1, 'a^123'], [1, 'a^90'], [1, 'a^81'], [1, 'a^13'], [1, 'a^41'], [1, 'a^100']], 'gamma_factors': [[1], []], 'id': 759894, 'index': 0, 'label': '1-2028-2028.1055-r1-0-0', 'leading_term': '2.35051886037258362069856943293-0.292797252104221560222243984517*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/2028/1055', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [2.3686851086218725, 1.5342851057718785, 0.004298153774336169, -1.0939655833813082, -0.7288138332604571, 1.1065733673390963, 3.0822064964357487, 3.4835285116797117, 1.8124416894306408, -0.5531328647716356, -1.5718475821180027, -0.6019729895408188, 0.8916885458483961, 0.9730994618354709, -0.4449941177542073, -1.3245557632007308, 0.13507277987700844, 3.104795842166607, 4.699796295850179, 3.162167217067055, -0.027717214633797862, -1.7981951002883882, -1.049082841876742, 0.2564970803036459, -0.1096935111532844, -1.5655957285988964, -1.5109814418090772, 0.9169257851975277, 3.197687804345315, 2.422341290536605, -0.8185326534489816, -2.9510212980346413, -1.9132300766951966, 0.29958590249424094, 0.509895035529081, -1.290904774711578, -2.176197403433642, -0.7299163255925962, 0.7563190566727421, -0.3275252703417498, -2.775066884688237, -2.9131661802807063, 0.17665790268847412, 3.070550635752031, 2.5800655625328703, 0.04812497283382387, -0.8421251279291389, 0.5112350920785076, 1.0297164539877894, -0.9996300156777088, -3.006556487196566, -1.967520003986663, 0.7949304153576793, 1.3672637416059024, -0.8831115747052747, -2.3086299204960046, -0.5736764692679369, 1.6777216184428325, 0.8334604895439892, -2.098423732017391, -3.0031824206313757, -0.9496352090616123, 0.5681506587835606, -0.6925688226780069, -2.2556459689920847, -1.2535438711751188, 0.5138233915721193, -0.7382357437413472, -4.375338101318707, -5.645301312277894, -2.6679864723632476, 0.7542973437770859, 0.9565774257985145, -0.37299857756447097, 0.317527279544264, 2.3476500907662348, 2.271093608619656, 0.274631109824466, 0.414050570855785, 3.820062091995328, 6.1501254869898085, 4.045888508483442, 0.43158289860544075, -0.012133349150444964, 2.0623794123419406, 2.3879846119015564, 0.3428934222164586, -0.49939204059079045, 0.9132913072726501, 1.0577664738087307, -1.740343219291005, -3.5668089896490964, -0.9324995937567948, 3.1409294083513775, 3.4115637812979145, 0.3545735055144714, -1.1762993460831819, 0.04530685809874094, 0.5026672629083142, -0.9808282756743628, -0.8473704267881017, 2.5130606342383572, 4.9654746511727845, 3.0245326464124362, -0.21887514548801407, -0.06917040914409561, 2.1328623378850287, 1.7016206132316003, -1.1440346328310709, -1.7997679638973039, 0.5314970384225512, 1.4858225507941523, -0.6595764019273708, -1.9812148994765486, -0.08547366354906812, 1.430124123455747, -0.5857833562758896, -2.926749754009199, -1.4737215935620938, 1.400805954229612, 0.7244180393341141, -2.4939931366440957, -3.0242470290604153, -0.32743631932950634, 1.0743874561751565, -0.03252570725657494, 0.18616036545003312, 2.767852538891601, 3.316145314711074, -0.08260387394277281, -2.734279605617704, -1.0792908027087857, 1.1430623784292295, -0.5673491099075475, -3.683836554888948, -3.2887654127883543, -0.5493457614216534, 0.03851108987932459, -1.0668388204776518, -0.13686358182292158, 1.722178731310131, -0.06724110507011086, -4.529371192556678, -5.3757046528203585, -1.2132060517538408, 2.068430459211649, 1.0205195518487744, -0.6422557338802162, 0.13399047549475582, 0.5209918767004328, -1.5229343276071987, -2.2383837331272236, 1.010238248894717, 3.817900290285919, 1.8228186663769372, -1.4763718872527425, -0.6488989675109172, 2.39759878409429, 2.3528126204432898, 0.0003495690254268668, -0.11362637032811482, 1.2839331916527068, -0.12716608504790133, -3.2887078979054243, -3.1049609969798833, -0.02256711210295291, 0.4250048323648286, -2.2286349510606955, -2.483853405990161, 0.8516865294919513, 2.3366966285887276, -0.15256538819100024, -1.814970068225414, -0.11767236705040154, 0.8635252854620841, -1.0743164118696844, -1.697246465053388, 1.2834934922427914, 3.1614139481491, 0.7523203105355141, -1.5214104535984028, 0.1618708823490744, 1.902287141482881, -0.3760498944114097, -3.0012760944852865, -1.315593497142981, 1.7382087079236386, 1.3092675820513673, -0.6882269453921979, -0.3980179819093712, -0.15727607535188065, -3.420248384658994, -6.423618139342089, -3.8871696092455186, 1.055616922688372, 1.7296912007340506, -0.8763237032664318, -0.9895092099029914, 1.170812753187386, 1.0482306065933327, -0.6810855778573996, -0.02458892392788686, 1.228911154868849, -1.6092199459948098, -6.035401678930931, -5.363544390116001, -0.46442413052026543, 1.6768841070401868, 0.025090028292333946, -0.18409328118350313, 1.6977942028909743, 1.1559591754813394, -1.575999385965963, -1.644728507944856, 0.39674274447087393, -0.739598712150626, -4.244866827651038, -3.785588924723376, 0.6619860659647865, 2.3522654650107717, -0.15624477903470552, -1.2625964078402205, 0.5233808268453022, 0.6087929047453989, -1.48951844159698, -0.9942582049369537, 1.8531253476282392, 1.3575902163456093, -2.4455500943363644, -3.152665617588477, 0.13775234250711793, 1.3842102019858542, -0.6865010866780832, -0.716237651985034, 2.042861556486245, 2.054111849128579, -1.340199649580379, -2.3760859556771026, -0.0024965408888972113, 0.6418307612894957, -0.9372366627637014, 0.2737007110006548, 3.7905874803032757, 3.4902889352317006, -0.4353843494797204, -1.1395995249150297, 2.249489357486107, 3.3666890219228476, 0.7447570035935651, -0.5203018888057622, 0.3167763716973663, -1.0839654886620296, -3.8278026303684882, -2.7101908407612374, 0.6650620379215233, -0.2565328064792585, -4.446186405937716, -4.720265862365666, -0.906810640617232, 0.5610304974008642, -0.9625128095387205, -0.5156075311143967, 1.4828809898580297, 0.5575155839349178, -1.5534578062819846, 0.011591741959451948, 2.5292014372328815, 0.1338023094144415, -4.245529352156526, -3.5051530443913665, 0.7121543465706249, 1.6632091806935378, -0.11669205078734551, 0.18905528379979888, 1.164855908414251, -0.7578080594612203, -2.1684704517885627, 0.996914192178462, 4.042217678898079, 1.4484240745577683, -2.4966526143285073, -1.6328390216692434, 1.010147712555578, 0.38394742779880814, -0.5992959962272068, 1.687731023351954, 3.1235155918372857, 0.21258797977412777, -2.230315269679829, -0.5118782329101161, 0.6825617746559891, -1.6426404517064754, -2.251137813033493, 1.437544680490514, 3.3420491400972097, 0.3836430993401443, -1.6465998709327652, 0.2132693974511137, 0.7806872274681698, -1.9185972592200482, -2.6281217250232083, -0.167626836810269, 0.14777343789439343, -1.8510155398445405, -0.4349733217646879, 3.551658089598499, 3.177609895641364, -1.0263232353821845, -1.8052425453424603, 1.0522033202892813, 1.4217189484320967, -0.4305682652430841, 0.5406104029235068, 2.7410257836983742, 1.389070243969008, -0.8534829126776545, 0.5404757274630662, 1.5553962010749203, -2.6973832954035695, -6.983659740708656, -4.783766461423885, -0.15796322270717153, 0.4833278990908671, -0.5683502944103108, 0.34603023351166406, 0.16669980302179846, -2.4558665655912604, -1.964679035828176, 2.821671119069215, 4.386954728002475, 0.13225127587507784, -2.691740457450246, -0.8481748754917169, -0.07223401469874405, -2.330918437862614, -2.4765785685324166, -0.11673932575143534, -0.4368935780943637, -2.4204209494596363, -0.5912292316849612, 2.6905285785386646, 1.0458942604511812, -2.8542393592336586, -2.2302530493545834, 0.5824696943866784, -0.36065478615157626, -2.3289563561123234, -0.3197213955719786, 2.127890499507668, 0.65419513836769, -0.6736640458946649, 1.4571526483327801, 2.0330912433336277, -1.4188255676179617, -2.684636524882906, 0.6475058859212788, 1.9683242289563587, -1.0111013747401822, -2.024346892179663, 0.3899436843065267, 0.2738972188568023, -2.593049124468555, -2.1228066113548136, 1.0961509195650883, 1.220462193746437, -0.42100072292061697, 0.9977521305696302, 2.1777143003283816, -1.7563279608045608, -5.613557795982044, -2.968532542523572, 1.5558884390541914, 1.4758557498695832, -0.027012655833867485, 1.2006109129508642, 1.7215572656628846, -0.08816890940670455, 0.8506300542963576, 4.609148411009889, 3.958898574757277, -1.2513526715553072, -2.7263497122928886, 0.5904432670492921, 1.373522800092636, -1.1436403999090932, -1.1163463569824101, 0.8915528561037951, 0.3476294370245309, -0.14871393081104367, 3.192289939112968, 5.2912582112149495, 1.6034103633708277, -1.8130863605244663, 0.2412605890793217, 2.151452398177507, -0.512446545674368, -2.384095317647452, -0.3028334828708028, 0.5413693548169707, -1.389151210075825, -1.0853818129609851, 0.6956624172372314, -1.8068743884129224, -5.96405028282988, -4.405779566230905, 0.36407643663399614, 0.9218903760347831, -0.7857368561297049, 0.7118850125224307, 2.235758832562465, -0.28889065723501445, -2.029099633631697, 0.6071460339590049, 2.088050490927894, -0.3247713591413201, -0.7781872523228548, 2.140293133935915, 2.192159860033038, -0.575133491444179, 0.629191220978198, 4.567951662777043, 3.8088786672885213, -0.21849479161216562, -0.6066455196678104, 1.1324526880848513, 0.06181885076996421, -0.9015730839173278, 1.3364622582359744, 1.5801119218522375, -2.4680837591100024, -3.567451586882285, 0.897414035243872, 3.1578574581086967, 0.38631463367291197, -0.6753697353083723, 1.6148613284131894, 1.6197727144041716, -0.28795935832161296, 0.8148243229831121, 2.382243104513967, -0.011769691880426772, -1.5073966498960811, 2.527241581182364, 5.588684944823641, 2.2195879274787975, -1.3395396623939457, -0.008539539222852919, 1.1693283595124624, -0.5985002315651553, -0.5356575036249357, 1.5466420618717565, 0.578701905342796, -1.0991888961162706, 2.3888241913990327, 6.644533666471162, 4.172500945720965, -0.8350292379303036, -0.9045034022044129, 0.9716598966565282, 0.07985241525823951, 0.08590396267251232, 2.7808303564917787, 2.3323181421231283, -1.8314147609540221, -2.539030455623103, 0.3103714755365884, -0.21856798538471012, -2.9427761916403146, -1.4081147809754213, 1.5584314689666046, -0.2937086789782672, -3.144115381882874, -1.4553874260894004, 0.4087384730427155, -1.5380011153923465, -2.2027451545433627, 0.6036497321144383, 1.058226603443249, -1.1301193763406534, 0.588164737410497, 4.698031794402236, 3.6946991745135045, -0.27542161053896325, -0.01677542616876296, 1.8058783057965881, -0.5404367485190045, -3.1270193290797343, -1.4000070218962821, 0.15325445278046043, -0.9534619276973918, 0.48897998555227207, 4.199455322786343, 2.8960977818300386, -2.1270942809755606, -2.4872860518893143, 0.5286998359468188, -0.5552045953115285, -3.604506292527466, -2.3815719962986552, 0.2671343112219916, 0.10733601659726706, 0.644510221730496, 2.6387518736965196, -0.20906516927405494, -6.767464935206659, -7.430799888519004, -1.9591308455030139, 0.47463728134623184, -1.0354172949576628, -0.381030247073808, 1.1426194913850303, -0.38384185134296417, -0.7793083421651008, 2.803629199002258, 3.9994064573753354, 0.5616305823537199, -0.2043983110250947, 2.890290677703643, 2.1991938183249538, -2.1667014453849154, -2.5264869300306922, 0.2996119606331602, 0.13957665984419965, -0.6915187217921572, 1.887970107677916, 3.014741220529163, -0.3858134597158457, -1.8306957493728626, 0.8205990123359652, 0.5656676422999004, -3.080977716319447, -2.6850870052702094, 0.826172301274508, 0.19022106288779034, -2.5894989186150634, -1.5046765810073766, 0.07611352966035209, -2.0063385380311654, -2.570937087406723, 1.0060614888544746, 2.1384068022862137, -0.6328134119722426, -0.6798616476152914, 1.2826089251774964, -1.442723499065596, -5.658072385147215, -3.6942079782504385, 0.8358890797936805, 0.9178846155100316, -0.3325446848302637, 0.9362719039332578, 0.6236889431511194, -1.7224978995138334, -0.016706880858375257, 3.7347920866277007, 1.3679728829551145, -4.245486135343387, -4.040688260334969, -0.2592196447106513, -0.030528015841399605, -0.8367867500439372, 1.0889040308884832, 1.3061130009820832, -1.4504002862249714, -1.0897210510426425, 1.549902449927941, -0.6877049503107913, -4.997008386413448, -3.2210845709304494, 1.2321513410329603, 0.6931019138660938, -1.5157310935990256, -0.2728388757457872, 0.2564062909042186, -2.0751199450297655, -1.737148256299654, 0.8845943242368096, -0.7484814194893133, -4.009751852466152, -1.6711558039273542, 2.1431213567087903, 0.19125357286757036, -2.9281559298760085, -1.3156651693283385, 0.5087784913150396, -0.3338744619777412, 1.3334467949255215, 4.9998470034221025, 3.844275826771988, 0.07019542952856325, 0.8219669338472599, 2.8646063479477957, 0.4394121112656186, -1.5969958643101991, 0.8099228181886837, 1.2394532108146168, -2.690086560750565, -3.471717514260331, 0.049604073398710896, 0.7252339021730992, -1.1209093702112631, -0.20719943596071116, 0.35078076364398836, -3.0386193560121746, -4.088156850403887, 0.11453333772841878, 1.421922037325778, -2.5618866134330176, -3.4865811197522416, 0.04510588116622842, 0.9346466975066238, -0.3197774462114688, 1.3374283047370674, 2.623575042787631, 0.28817510965435184, 0.25370001730793107, 4.206028746693158, 4.181214753185765, -0.3642810241768556, -0.6309169446517165, 3.019012828321399, 2.481033718795294, -0.7675227257450942, -0.5124311060846898, 0.5072155867057824, -0.8398119317622741, 0.21396268307060642, 3.615426172715482, 1.8957724479686262, -3.158697416459785, -2.361858979840209, 2.169693594058587, 1.870579118020711, -0.8215287580216138, 0.12417952198260668, 1.1908123812031164, -0.3734425353764715, 0.5507790880313281, 3.481890308804495, 1.4564303252990756, -2.8435736124931896], 'positive_zeros': ['0.6258810251111736883819383622', '1.39597618622460456836598799094', '2.73199315640409123743612855658', '3.55130036556537906010318288220', '4.28900782778843625781126103041', '4.983506625750212956952363444033', '6.24705625344823005511623160069', '7.1000754056506943268960236702', '7.47190538604952257864128709661', '8.339353576583736057300759255522', '9.30048876667910443171872644765', '10.25936707067748273202410641325', '10.73153963638368626041014460106', '11.677372424423868206300522527229', '12.14086907716955573454341598888', '13.11032293863377072017020141867', '14.06935225930156408435592909458', '14.589037383192043921126142978162', '15.19170551807341858215615754800', '16.15262764475271109202819794898', '16.77041187985226409533705640538', '17.56440132907786492264710708989', '18.217801174750150190798627029686', '19.19623500657423258635326521161', '19.576198655916029129172192384570', '20.50029179912893801302008950855', '20.84974983590036628409000406314', '22.095121174652688048558109425365', '22.70236319332164122124045497043', '23.06811631295864149365472577532', '24.127300802673904837853597715210', '24.29521267959990518401541135221', '25.68937995398469775621381176799', '25.94006844621991983960852775734', '26.9310146407003765962935316089', '27.32594958845888597858643510009', '27.9562795640002614798413547970', '28.814971875901785588201765896577', '29.725589860299482723429551461408', '30.303096276691622636470215887812', '30.75055048730427257852178462270', '31.35164396805026102644483042918', '32.46830857359994088955255717137', '32.823238300638105107702632810747', '33.624360657231411721796072904542', '34.31059334265280415578989034913', '34.9220510208186177976460546416', '35.63527794668436192392076246599', '36.190129818185406323985759266733', '37.0156271088253072289370011049', '37.57397053111368587556837487324', '38.47550310519625340716570945167', '39.05381367397757177340703057455', '39.33967732755401684845313685148', '40.3062049723119245991197962478', '41.05085550302822358191502362693', '41.507361495981613573707458209', '42.60152518182704856836121055351', '42.82540819503571954815332380542', '43.4570025929428977581521920847', '44.05721839909553027926033812965', '45.08147177356231102630265654310', '45.770532347676210077068837699794', '46.21891802284322153386576108906', '46.669995941831888993713879333092', '47.4238954810646886681592758341', '48.2719943605467522302171305281', '48.814658178174349490225075998580', '49.6875620330697577880443287248', '50.02461137040134241014814313543', '50.61201148465609906407565003310', '51.565248892170871301228489957115', '51.93739595164366005807752901377', '52.738976240960367642551116557459', '53.42210721361647577095674357568', '54.07909956960523440016666827907', '54.54394717661457619428295600458', '55.20033394823351222377647772658', '56.00703189165231797001387000181', '56.54450954778279197350978125557', '57.154353159046278767035123627900', '57.92798957765034337915108765262', '58.61867085255744130298112100206', '59.18608253399214001411405411408', '59.33216678780745739660193134118', '60.54474151644389014928392455343', '61.141258739683188878405670111330', '61.70333929445885325584504592822', '62.35757003586935736523969654729', '62.81659491713321510568787937083', '63.31896379115351358374831426402', '64.408487172271438669363693748990', '65.00452140123902285394172049505', '65.34859225206476622660490453168', '66.06768109236612503844715100548', '66.79606915254946965976555565466', '67.1049875486347875188713117841', '68.0776539697184151449219627489', '68.73272687913151769329995665182', '69.29030136963124733328787703430', '69.78291656581227176365650534272', '70.42060148016412836754711117445', '71.05492778456706663519146070721', '71.86205556725600630840504027093', '72.40408775986324446713275476348', '72.90263657039123135954999388997', '73.63178642996714538035906401992', '74.375334516552937244753273982790', '74.814083915979255913470970825383', '75.28506203871378793847725062911', '76.21198830820463234658727259557', '76.68425937613953718096133767111', '77.59673508584118204754303924853', '77.99510936371307780070316670131', '78.291656556685880616913230533475', '79.29541966116018424463605805167', '79.66465182729455652569716613151', '80.71804579190135910316980852408', '81.06855643172227599095787710956', '81.63620736793599911201351523492', '82.25440170093921577760348847601', '82.81137977939515701255923255066', '83.446277582372210665577164721819', '84.31520337889926922342716980997', '84.972609386359094414856257960374', '85.27033450698638797750811982654', '85.85082937598631670897872617804', '86.49206919482942873432471681077', '87.28209006596270722690735436343', '87.9775373241060292446393114028', '88.50288638075092592822062182856', '88.87536591724980709851951649793', '89.70464170869459368162485391562', '90.37706679874568744199079518740', '90.75085142091064751118683527178', '91.45742781672865155264541843070', '92.22031665092962499410376158535', '92.784118632971332628579847320267', '93.23536657289747703252777398101', '94.08715613043816722739340366788', '94.400966366589149559970895498280', '95.03458464994553432293906753135', '95.85660994387454023366709401754', '96.44858110715809991102661640299', '97.09478141913172593490250235683', '97.42717245890690710144975184927', '98.27625442635760372855605228018', '98.681548739125655131677719738208', '99.218517908834718095966652676393', '100.329416419155523491519625692983', '100.73475771103663359552709356703', '101.16660277933992010494759485445', '101.58793648835962917173393509057', '102.32724683005249126250096322858', '103.1333616016575525871938249147', '103.89356697401387150830047952124', '104.04323236058733170145646850635', '105.02329563307287233473230960131', '105.23658543588626802267600292752', '105.98475557695146677580554090727', '106.63764709144073231507687792994', '107.40962782227656014921234931976', '107.76785896105998029365269198789', '108.46654936973705069477424247529', '109.146776959344939705248316418125', '109.512771877932176723637626804398', '110.19899174460622207345419107641', '110.88397205882134770431928822441', '111.46937537505656854047647999208', '112.13525901897892908313828118713', '112.53353215222309227732602568852', '113.32105976368288487631061949293', '113.94376007887008490172656574109', '114.23936435712402468255835865352', '114.896280652972198980086318011576', '115.80486124618071863929672112330', '116.53499935716914748451761408838', '116.61492616033848320773701581783', '117.48079712886487669281840198393', '117.70973556267683084672312117948', '118.67327032752523625337867419590', '119.321027695618030472424339294574', '119.85998540561000698257123070032', '120.46845269753367714826691472902', '121.00853815569799542877544458021', '121.27745434070650788526408541357', '122.28984715714380169596511735525', '122.79069299278584931001949563534', '123.392988210847847037154787706102', '124.10223625418233319060528467496', '124.47767704603419777532241328588', '125.15086901600616507321086136872', '125.48032613459617290404216398742', '126.53112427555389674967291468406', '127.01337189624617234334005401083', '127.41344210001463835545296453575', '128.09880144223895749553647130543', '128.694253039300229830168068049176', '129.337358210274119609391352989852', '129.7831506404942144788323161369', '130.54410304184236679449107958939', '130.88064338297879374802190600684', '131.85283705484313646796605110686', '132.28144226366066591715190438369', '132.821852880124553730819907295', '133.28108455527057707737728604782', '133.88914961467874094368095439181', '134.63197348592690200734486234334', '135.3532862355601244694165447521', '135.73340543259508694517575002492', '136.490555000852678258013748668376', '136.756947169646535983358842818537', '137.49891346546279035021081646379', '137.96841335730884200716592412362', '138.89761710032226301496344672489', '139.37607721737801439685915855453', '139.90527474830497713222113506856', '140.39016560928419206097300238821', '141.00639105284498381336617346424', '141.40780221314097786769473731082', '142.429469586384261034626889011980', '142.93252779050536460301465899071', '143.4551386882267631534065499702', '143.73529325148323958287904627675', '144.55101308502091467345375446924', '145.27053075783146189122566746430', '145.5997223144662443852923918300', '146.36742644849063704410487322121', '146.85032515565662123840423937270', '147.66782802432435669224623564821', '147.928349263668716791207989992048', '148.685051335598501374126553277921', '149.20309076027825401461983103575', '149.64107187732111630155942185212', '150.59365228424543203488682415933', '150.939697875509739327326987922169', '151.517363105583587524182494534789', '152.39001206665300059216830971274', '152.57424229734166586438711656616', '153.079921767127647908390770069271', '153.921878292403649446639032084408', '154.61495643622771311832950886850', '154.944392408469763915702601175095', '155.88430402860740672948572514136', '156.30879157448675868427691946124', '156.405299953090488498192581125362', '157.17662081860593772857740966983', '158.27799650873010044547201469695', '158.55748146756961914879709441844', '159.117959617377223775431536577839', '159.6332829346308908941612824259', '160.08955367550289197282695449248', '160.995138006614971742796839794625', '161.2771745083104481879304722767', '162.028990553274333490125703210068', '162.76889271227319912759337350308', '163.151272937843819533319477539629', '163.55940823754900348486413624409', '164.34384506149259952928719063163', '164.90839193498642218958430331577', '165.36536133114687175342718517944', '166.16025816797794436549917916080', '166.5818207792569742320243342260', '167.4136163034642758672132390306', '167.53570319081548643503305885292', '168.35690054005707010686998181855', '168.9901913108920212008035594466', '169.46311636652836637912973313936', '169.90111186478517126843081926186', '170.860487048028558108495236899798', '171.41104550837323058592462866387', '171.69035764108354625074766354936', '172.26629530654901313997227529', '172.813751558143953895484266316362', '173.5083683446021545474624401056', '174.41073752070710241541917585070', '174.680814845608544639288049018366', '175.165801471709673940487716967092', '175.77602492900211732900364153682', '176.36121065326391906038484254083', '176.8285288839837366112562831847', '177.70242043408907313977523107553', '178.19994027524559390810606969810', '178.79455018129959639944029514439', '179.108833489903138467778098141901', '179.87058504418211335786290205225', '180.24805697741956224473475632137', '181.045093110901116203101364974764', '181.5768393398242359877429956633', '182.34401913695718617579498309125', '182.699024329138814987105435236084', '182.98132115160729479322705082473', '184.07356814848801389319536774974', '184.26721132240408686261852288112', '185.037811612586368469648082520524', '185.54177427508607447938618249998', '186.0516797032550186640645211374', '186.87004420171414120106980394312', '187.30009905010678528357791160157', '187.84641235445056840226780854743', '188.17668174052162646352678124943', '189.05433960684554381084870797907', '189.505724978276738518122375472106', '190.3080968737057108127680910697', '190.81338522320162377595719052248', '191.06918260090430349283698984049', '191.91460069379747765747898226426', '192.15666986739886864368877249172', '193.09577532029585252021888163870', '193.49526060206982506097570236114', '194.28152590915726686781811843579', '194.779081303010750664796402539401', '195.142812952921720751086596706328', '195.603939679088231680248246449630', '196.35863717565950355680848302989', '197.02562939058550500808120558606', '197.68614830150944054389167945072', '198.10699857989020312474406171284', '198.67495084677242536800985882025', '198.99882108021280165143036096227', '199.77828143215122471195210152705'], 'prelabel': '1-2028-2028.1055-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 217.93886748349954, 'root_angle': -0.03944773175542406, 'root_number': '0.969440282917266275665439223864-0.245327409510822335382217409569*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0394477317554', 'prec': 54}, 'spectral_label': 'r1-0', 'st_group': 'mu(156)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.13770241493453700796603151176+0.0111397300273948997211137949799*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.625881025111', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.39597618622', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.7319931564', 'prec': 40}}