{'Lhash': 'dirichlet_L_3765.374', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.30901699437494745, -0.9510565162951535], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.8090169943749475, -0.5877852522924731], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.5358267949789967, 0.8443279255020151], 'a8': [-0.8090169943749475, 0.5877852522924731], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 404.6054418517632, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [5, [1]], [251, [1]]], 'bad_primes': [3, 5, 251], 'central_character': '3765.374', 'coeff_info': ['x^50 - 1', '0.992114701314478 + 0.125333233564304*I', '\\\\zeta_{50}'], 'conductor': 3765, 'conductor_radical': 3765, 'conjugate': 'dirichlet_L_3765.3614', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^40', 0, 'a^30', 0, 0, 'a^17', 'a^20', 0, 0, 'a^19', 0, 'a^3', 'a^7', 0, 'a^10', 'a^46', 0, 'a^2', 0, 0, 'a^9', 'a^46', 0, 0, 'a^43', 0, 'a^47', 'a^7', 0, 'a^44', 'a^0', 0, 'a^36', 0, 0, 'a^3', 'a^42', 0, 0, 'a^41', 0, 'a^13', 'a^49', 0, 'a^36', 'a^40', 0, 'a^34', 0, 0, 'a^33', 'a^12', 0, 0, 'a^37', 0, 'a^47', 'a^29', 0, 'a^12', 'a^34', 0, 'a^40', 0, 0, 'a^41', 'a^26', 0, 0, 'a^3', 0, 'a^11', 'a^43', 0, 'a^32', 'a^36', 0, 'a^18', 0, 0, 'a^31', 'a^26', 0, 0, 'a^3', 0, 'a^39', 'a^21', 0, 'a^20', 'a^26', 0, 'a^30', 0, 0, 'a^1', 'a^24', 0, 0], 'euler_factors': [[1, 'a^40'], [0], [0], [1, 'a^17'], [1, 'a^19'], [1, 'a^3'], [1, 'a^46'], [1, 'a^2'], [1, 'a^46'], [1, 'a^7'], [1, 'a^44'], [1, 'a^3'], [1, 'a^41'], [1, 'a^13'], [1, 'a^40'], [1, 'a^12'], [1, 'a^29'], [1, 'a^12'], [1, 'a^41'], [1, 'a^3'], [1, 'a^11'], [1, 'a^18'], [1, 'a^26'], [1, 'a^21'], [1, 'a^1'], [1, 'a^19']], 'gamma_factors': [[1], []], 'id': 2621247, 'index': 0, 'label': '1-3765-3765.374-r1-0-0', 'leading_term': '2.60738542175446304897692260056-0.483746845092356962929226355364*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/3765/374', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [2.6518804173104233, 2.164808003397683, 0.5031161293910739, -0.9250821524206431, -0.8740675357444765, 0.5216333211088349, 1.7554772212277079, 1.5446545148396775, 0.35112961991993596, -0.16051032517225272, 0.6861887156669745, 1.523553521493091, 0.6899481739016, -1.298739488625331, -2.0800959717162932, -0.5911676675665735, 1.1806973636316522, 0.7412320879748591, -1.160297976582938, -1.1150380076113833, 2.045097665905601, 4.684134272158006, 2.551071963101101, -3.1971323640319436, -6.594160225407187, -4.1108447578721234, 0.8866022805195342, 2.6220789892323353, 0.25085273858545887, -1.940287640891052, -1.1503789655274255, 0.4107206311886892, -0.22569483159995238, -1.9485772844514802, -1.6669863799031126, 0.455111221608503, 1.2672621074091048, -0.19749623748241363, -1.3116040532100253, -0.4395737548598875, 0.39531332381994655, -0.6522299376989875, -1.697663163129853, -0.4212013609850187, 1.3165602503347897, 0.14421270283870125, -2.6852195330820585, -2.56256994009709, 0.8199881132340802, 2.2292240370932883, -0.7003048151956454, -2.851620376014721, 0.5865680577966947, 5.711603458580287, 4.974895194277103, -1.448522787295413, -5.789759519262535, -4.021248597133328, -0.5553387551324258, -0.020414339168641937, -0.6096626682955995, 0.893688167861651, 2.7281455035210818, 1.6911570866437622, -0.6484633366008907, -0.6425280472057424, 1.01909399756708, 1.0158045642891498, -0.2446239067992076, 0.3403351278480007, 2.242204856141659, 1.9854511086924318, -0.1966889754531416, -0.6484118599916415, 0.4927085429771563, -0.8137324660392831, -4.180652973355016, -3.82260149180193, 1.3111915530789746, 4.058980751169199, 0.22747433450929724, -3.995606772845382, -2.0246371401076746, 2.200426416438561, 1.1606923933012179, -3.446721932852671, -4.016917660304071, 0.015613162152285968, 2.1067469798988023, 0.1275899270992763, -1.3601209875024431, -0.330424105126512, 0.0419250567876359, -1.151457608188533, -0.6990449765945854, 1.6320745856747432, 1.8663153213899504, -0.6403166004077882, -1.8025417710193314, -0.48687524963856205, -0.11672143081864088, -1.1836137288815947, -0.14586692562297837, 2.6070911929185603, 2.3360213139728505, -0.5473639371220662, 0.0007108228443083247, 4.007035031039551, 3.7069297197492443, -2.6637077431418525, -6.159836040782797, -1.7424675847281217, 3.086936238178078, 1.2127163656325877, -2.698269394248979, -1.8884215833162665, 0.7035449352449457, -0.5492082428061612, -3.1798223633017892, -2.1877333494016935, 0.3672779555985439, 0.1369894124301209, -1.1887311587425424, -0.3101495278379302, 0.8555509154928199, 0.0020411858703155263, -0.10690775470208208, 2.3661137241132524, 3.5258273532049373, 1.0368327516109614, -1.0368362400223883, -0.21760662095445388, -0.18675902458097682, -2.2007251623190975, -1.546541023736448, 2.0820978824387497, 1.6279766527250754, -3.8956637582050373, -5.01882826446079, 2.101002878456491, 7.6907068375727565, 4.464792377552833, -0.7828844893656683, -0.39828377007505844, 1.6255788056814773, -0.32804562620867517, -2.5911582625358425, -0.7872221823005059, 1.2019166598955286, -0.48809705795773195, -2.172454849792697, -0.6212489479077151, 0.8702834399051702, 0.11998570020156367, 0.16680786661634942, 1.592749174263063, 0.6884308561166781, -2.0724033817542207, -2.057261365683368, 0.053018513006648366, -0.3347297567002402, -1.6991252869984699, 0.5286733217952817, 3.414083189511522, 1.739614586285845, -0.3223037215937047, 3.3628805936444444, 7.195784556707798, 2.843493681765179, -4.073624975499834, -2.5920279298641065, 4.336768742428917, 5.708115172060703, 1.532708408070421, -0.07794326870069879, 1.2528583051751503, 0.5056890831388949, -0.795632690839577, 1.263363078465309, 3.4416285807512046, 1.592340173809657, -0.9203341967116588, -0.39143341598820536, 0.2848971165405309, -0.9697062193721545, -0.9817247606001982, 0.6223796884353039, -0.08717732064358824, -2.0582884480384944, -0.48074114359524933, 2.4642538582563196, 1.12525751264976, -1.6452870252731593, -0.05178121494357385, 2.0418673489209382, -0.7788533860987684, -2.085627771699922, 5.181166879011761, 12.86027377361951, 10.084999053757732, 2.078130338108762, -0.2662591441287575, 1.0288473192783025, -1.1693533633102842, -3.9906269506399346, -2.0688688541607774, 0.9425247476847403, 0.5466481684749431, -0.1860198279529048, 0.8433115400891529, -0.05476462262102075, -2.964171438855555, -2.833325846717657, 0.046703500485706206, 0.6610265504690434, -0.42111493841125824, 0.3428777751745999, 0.8684595703764874, -0.8382596013214724, -0.14737495948384424, 4.25979175019763, 5.071241086562054, 0.3913996745307005, -1.2806294434454335, 2.030097036550651, 1.402700742208615, -3.9850953127882427, -3.551149501086128, 3.6650061879118323, 5.9504075914574335, 0.7657739451255338, -1.7086365312903873, 1.2947418311595602, 2.1432316201030104, -0.4313377980490322, -0.6626830227197384, 0.9475482007245788, 0.16709640108075707, -0.7382322357295198, 1.216089394995321, 2.201258554719794, 0.011135150896934157, -0.9044030381259195, 0.5707949742969703, 0.022702040114083392, -1.9544134216611297, -0.954342439656642, 0.8562362560136951, -0.34015926852350453, -0.5767993915496152, 2.739467718306203, 2.851917548309689, -2.21010225301156, -2.521988644915588, 4.766679674598536, 7.889021016173217, 2.281738625972056, -1.1138625039889365, 2.3862551461425396, 3.72543166739138, 0.11047127733736002, -0.3035803926831129, 3.395095095751051, 3.5310809637859797, 0.13625103469278385, -0.5316180331544199, 0.6344540364493029, -0.25961447098465035, -0.6418970259058753, 1.4473961167703404, 1.8422119914045574, -0.14971278611084327, 0.110923293842423, 1.6669306147418905, -0.179633296755924, -2.7596253745790555, -1.4764957680875905, 0.2198031983822303, -0.4701825433703546, 1.1740643055573288, 4.657142862001297, 1.5897819308407708, -5.979519344099861, -5.594766579942261, 2.0815776678531934, 3.591834616612373, -1.9133466396457441, -2.914566820509576, 0.8625733948346409, 0.25272392537151456, -3.2464051419520317, -2.1885711882323107, 0.5438532883786971, -0.6816826649047285, -2.0846304778604843, -0.1713481075611895, 0.6193450609520494, -1.161413933122143, -0.9777669892032657, 0.6815717642143966, -0.14872106190897044, -1.1160161231487196, 0.6072745667069194, 0.9774765969475194, -1.1831616341070237, -0.21537172645495797, 3.4121715555482974, 2.8881650524479365, -0.2081007038590556, 0.09778434666092281, -0.18099762814291045, -5.036480968489814, -4.98849980016256, 5.510641534950665, 13.133532183334987, 7.793384077550828, -0.02455236250766018, -0.30594220590531707, 0.8550932140767935, -1.3319981323324979, -1.2829896455375045, 1.48498727061776, 0.5727548378948786, -2.483539650285867, -1.6373683333542082, 0.6280889735517791, 0.0479985420166021, -0.13686430076918724, 1.7242057118144785, 1.3927012687161653, -0.6810609912010702, -0.2280330198017608, 0.3151467056917963, -2.227299781329746, -2.9624563529271595, 0.30365476675119796, 1.2702042617718647, -0.34837952750520207, 2.4072835435585245, 6.422934752549649, 3.0700314899936094, -2.0449901478918986, 0.894834537023127, 4.725874634586241, -0.42775536850589263, -6.088711831866174, -2.2850541170393135, 3.163085661870449, 1.6869471859568201, -0.9757460492811816, -0.10681938864952006, -0.138320174157132, -1.2768550582390004, 0.7358824246133535, 2.735272216557151, 0.38813608475036293, -1.730872686263411, -0.16103568826037956, 0.6739129401905366, -0.3783266201552785, 0.37678464477679585, 0.9674010148991221, -1.5159211429949417, -2.1824135815024786, 0.9325575127480631, 1.082228815907251, -1.8837169013218436, -0.2972431681817287, 2.9580329464416266, -0.7663072587571406, -5.4506156681420155, -1.3020194838725572, 3.8482154520030645, 0.12850460871613437, -3.9546412610503894, 0.11395837305748552, 3.6847819032901103, 0.24710997841962407, -2.4181412622679495, -0.4831551284105309, 0.09832800226969594, -0.947754042441501, 0.6384170198325972, 1.8459135031105511, -0.28412415632062915, -0.9517375143121555, 1.1875763587643144, 1.0812429088521271, -0.4027169995142167, 1.0189248227086198, 2.0321338216432636, -0.4325213147906077, -1.4753137437215011, -0.017568146518612843, -0.9530813155270175, -1.1022341221238379, 4.951188297464836, 8.994722687100804, 3.3127384756367135, -1.874782035625019, 1.7645969946803841, 3.961136891114745, -1.4813407448921496, -3.925267731920849, 0.2647769709188463, 0.7433363234900102, -3.4853894936723027, -3.1610102440724814, 0.49698609968400953, 0.2540261069981371, -1.1683700957013703, 0.3727233087085903, 0.946347799235941, -0.5104218923811972, 0.09557900899441589, 0.704209087303462, -2.195084682428528, -3.808057773658695, -1.2376989248669013, 0.05357179479859209, -0.9435150832136445, 0.19140664471427538, 0.8126127064838993, -2.2683242027431034, -2.518020606809386, 1.9073300737141108, 1.5912951164140567, -3.123442959408699, -0.7410091885483561, 5.557115031007493, 2.191572994749183, -6.334365922844447, -5.931700633943724, -0.24466927778853398, 0.17744842433693306, -0.9906991765558214, 1.145916691581929, 0.7691684261433452, -3.036127019693567, -2.8713940270518123, 0.400405918258848, 0.44440466543841994, -0.6427002741771416, 0.5171602833547108, 0.6374692516491063, -0.22100555620010848, 1.7252988499633966, 2.9341801620349486, -0.4232791427948689, -2.5193091297954973, -0.3507980444347315, 0.09970483851675849, -1.3184074709773352, 0.21537941374307593, 0.05318878245471836, -5.310633920795401, -5.390290557775843, 3.468902822234802, 6.794154384865547, -0.033706443442254506, -2.6137875584863823, 2.588770870736947, 3.3375867621933057, -1.1262100890892048, -1.3761416553908765, 0.4844654734138027, -1.4507008750408146, -2.373929274817096, 0.5296097252135316, 1.2137413188398494, -0.5020150190498394, 0.627017847346126, 2.033276983180817, 0.09801704779042683, -0.901916647565482, 0.36685971767438913, -0.33973779288845196, -1.1106805308891374, 1.118570675928141, 0.8826100676600765, -3.3101296240281557, -3.4701640507378175, 0.24808486798566542, 0.16258060390450957, -0.1607169329910829, 4.864835255041869, 5.9743888375440255, -1.5795993348199338, -3.798195941743238, 4.529828123436065, 8.311366725780314, 2.4534613737533553, -0.7084575119431983, 1.4969160289088916, 1.1076375993888594, -0.37842121128690087, 1.344218203178571, 1.389459234500211, -1.6960539445698528, -1.7414444250407006, 0.2828577463736409, -0.8535740095631593, -1.956592121233828, -0.001886633458169422, 0.5227318405439975, -0.5530072020337381, 0.964583529062951, 1.9146063643929039, -0.3823279124960288, 0.11099495870375489, 3.4613850793378287, 1.8249840629897456, -1.553129279022716, 1.418402830648943, 3.81159838907846, -1.183017849846206, -2.917783141154924, 3.4039107056687095, 4.217521480483655, -3.5609339758848986, -5.735133582898269, -0.4358336571429674, 1.1704386959356583, -0.23464760554094716, 1.8967645746869317, 3.203251003201668, 0.34762450861925814, -0.8523378583991815, 0.28497975978500323, -0.48337971026123794, -0.2747579173600459, 2.8474164459863514, 2.8719797445466986, -0.5519260238479692, -1.0134772440339792, 0.24902816911626033, -0.6530685782973463, -0.44206666618774626, 0.38301267174063264, -3.670384504313426, -7.228223768498326, -2.77607255052029, 1.2292167194592123, -2.1260529864628737, -2.305131772360008, 4.305326162953772, 4.7832992814552, -1.4341185420425662, -0.8931501215511192, 4.274931993148951, 2.40773586508714, -1.9347943970686678, -0.2463941809544275, 1.7357136989975017, -0.24719388998700687, -0.5471826007890406, 0.642744540912575, -1.2128704628778681, -2.4464899308426067, -0.3874986021532719, -0.0010590533191709803, -0.9723806777553038, 1.176936305721137, 2.68404352565634, 0.32128372784911097, -0.40088791606255225, 0.9155871402183697, -1.2503063588802796, -3.296104480030638, -0.7552902370200759, 0.005895055655125797, -0.9937133128563673, 6.357664130646363, 16.292311911168795, 12.522818628603195, 0.779779241554322, -2.061616506666655, 0.5969285075976555, -0.8610787598397965, -0.6265762485960862, 4.209522338666118, 4.329009792410257, -0.12876228891750072, -0.09948945431108334, 2.2865429218566944, 1.0896223477879612, -0.15911235675728638, 0.1715675215535526, -1.754079062871485, -3.1533255538990126, -0.6002775536584684, 0.6197585960031473, -1.0697351804374389, -0.3314579235650456, 0.7713697711496761, -1.9230181731002576, -2.7925904341169887, 0.15319015135158984, -0.28533976701749136, -2.2588284353899946, 0.6252196867250475, 0.3757168638642792, -8.267847698626694, -10.755908172147194, -1.0351533320753183, 4.497732726275895, 0.06654498726266393, -1.306853278878095, 1.8813179161380458, 0.5245637425401477, -2.00845920406361, 0.017424344241201498, 0.8725665669954412, -0.9913835873949577, 0.6369704275453636, 3.3059237640767556, 1.5548111890091292, -0.2981124459064449, 0.5344308238176428, -0.05481896043930332, -0.7334783868873125, 1.2272614375564994, 0.7941376771930492, -2.448034241596973, -1.5511212570459336, 1.083509371163207, -0.6562541372594949, -1.2076357611890236, 2.281886951639727, 1.4633390580173469, -1.5867784551027184, 3.128472016468127, 7.404381540549831, -0.5077030735880937, -8.470144990142213, -3.9512903712119165, 1.787118469839401, -0.1439130959700834, -1.112402943761712, 1.2612706011322583, 0.4652605946726401], 'positive_zeros': ['0.71454923640890888110053101676', '1.46140607527706782592144921151', '2.61653525477602530903345052292', '2.9159331486052110396381338975', '3.862118005791820464721065089204', '4.773146790826172644944219164419', '5.43462396558362252124348780286', '6.07382715103327484194478261379', '7.02078812890472424671935368854', '8.06258229311686482467943162019', '8.775296014758692681888363804865', '9.57317981142467511595056973318', '9.95648095292878809789666478113', '10.87045708515075200486710286532', '11.52924641108519622232546765078', '12.29296252531405618945659799822', '12.67492324839572228506516441863', '13.49713122730936863673111967279', '14.07879924269761082044109086824', '14.928307150823905684668889126554', '15.56755417160576606743681431775', '16.21680109824790711186017806585', '17.12247012895039221408018105458', '18.232624019399305156755694565849', '18.42896516224823353799397777991', '18.93134402317567797523884101529', '19.89651006576023434094610346354', '20.4325821444736108461012675312', '21.17134759354199611178617179121', '21.4951957832466217425314325836', '22.4682394103206640592789491992', '22.97496302518800308820461336970', '23.33926948928101398335435148638', '24.30199511580622942841895198439', '25.012573560581245502292253082667', '25.75578468493752625607951938073', '26.33074259832535631110549274005', '27.18632582516635225601061703335', '27.82789379293265250436556351258', '28.52945880754198224981728521357', '28.76600389024375771714584959847', '29.47427555826167327644099715130', '30.238302654992878803769597306501', '31.095388965398456034133310841296', '31.18908228107412969789741403313', '31.8923064445257351381677692905', '32.74336397149948069152852851535', '33.12493121049657671751956788582', '33.94466715985367938799356680071', '34.77255896807454036160719486109', '35.394489377197175215453653703236', '36.132670098420950845638540030490', '36.50142080000051301170129882278', '37.43687813143387910374883035225', '37.83934577641443225191505591006', '38.494245576648905870224612877975', '39.063029458229220860340041764355', '39.39685770059079015751038164476', '40.42100812108864374074872817093', '41.00047024414448704445523349071', '41.20319710845212264365147902715', '42.00929034210265223405590085031', '42.60406825723940082482024230043', '43.36130189240070553391017503602', '44.305480314238140599253787268641', '44.7332563449019315862762206252', '45.281262309628960846898287254897', '46.02069998340026343612891630034', '46.50526694673450884109459987371', '47.27379161171218135696426629020', '47.85509804581200483216059484477', '48.07491023231609350029795367657', '48.82718967063791569527177483705', '49.6757609086295266880991563987', '49.93538305237010828932558027385', '50.5797263276254471440902122680', '51.43367284951490328243244317671', '51.6342095717306051689418960865', '52.61036681059503951576619123570', '53.24147493797426891086247035203', '54.24204673995629094329035609392', '54.4028280235392512768901252823', '55.08027946217461918001723664889', '55.49030838785917039527660576900', '56.411162349333421286899663401073', '56.96679098622446888226789271915', '57.2877092553717859893714919925', '57.99178635410348118360731068212', '58.4248860509108910952217684562', '59.105586201171021053918526385056', '59.78882647918992186121321774909', '60.317430122543617661450525803836', '60.87719872360324503372364457169', '61.37974341131549599295009180826', '62.6518098778190396459005688449', '62.87628425937255142321469161959', '63.333101681839492598194673284617', '64.2439862932925637615787621151', '64.81755880572250873565747895938', '65.07914718840132817550776305578', '65.61835673042211562622578305383', '66.55638874492570375153082503894', '67.0402987843906292800285765016', '67.4228972924772138342297928233', '67.98604143683240333636345159956', '68.45115518118258825794013620185', '69.40191909379277512277092814106', '69.824222924517246276385975146315', '70.39921389499129495637392777745', '71.098817905713901685819648136297', '71.920395096032791663075522186203', '72.38488574180109366056912511508', '73.0691773020272552480591242664', '73.55175720299777684395984592330', '74.09246096152591644567595186778', '74.53172481774684694220716313539', '75.31393651417780086738224804835', '75.81747184462590496052927309269', '76.25340723328616552448951041828', '76.99848207495706456661884979868', '77.4440371366784238683056695527', '77.88379545287655947055559838895', '78.620398473337942557719256613601', '79.188711918197800649324410088837', '80.12452642581007899341503055948', '80.45249008990500227529998360665', '81.26046928870561120588397444135', '81.59452836950815825559258508139', '82.516091127958229146178210100864', '82.93197586566021040120928230911', '83.38311436769509020917172012617', '83.86694330950305807950989209360', '84.65868873791188425396194432504', '84.98021511120849161608093022779', '85.60803078684851588989975756116', '86.466412627004691603926315195579', '86.7073156399844220671367359208', '87.065975592616876534328857933514', '87.87707826820160674309790847014', '88.662312037793439606350319854247', '89.26893110757261632172789460601', '89.9188083607465852927939057804', '90.33429832609457478201109722339', '91.15124960318348068181448463542', '91.473074403279056745305970489166', '92.21125270959703335327749793831', '92.62250280580819430528017589086', '93.28315987160968499436409442735', '93.72403823606408798067504859899', '94.28567445289138901512456315193', '94.830775859359511145598912946521', '95.33187532153265971302495760340', '96.217444934866362470794911747506', '96.54176700431668613523953711698', '96.85516274716280770773269914419', '97.67129105903134435679877620834', '98.74819455500014948114111420105', '99.10533327570905308588671035779', '99.523233964686527389801634041259', '100.137717192787644622164322555834', '100.678101937138042925132039435809', '101.440446868855201784081866132992', '101.88690237153805611815192439474', '102.217587427430535157494368230655', '103.00171542813692993751636222617', '103.48560683332940088979569383614', '103.81244997041184347420763613105', '104.65924580254331439887779333837', '105.20779278490116447732997449486', '105.43052856175274727160465634147', '106.39878776833162110053359290605', '106.826275487332135543103442013306', '107.48337055905903160017523589350', '108.22728869620469831644566496395', '108.89941943677810193257991371124', '109.40265231805371969934675045837', '109.653495774135814473564994848258', '110.23852349335155641324940305744', '110.97279738051177707176346015572', '111.58690457976437620018073942142', '112.06210472153873903939927459098', '112.42242999787223846853105076975', '112.96275714898756372212503050507', '113.65961982980698813815462111603', '114.17105953537056773643167055350', '114.70929330035694504658200298532', '115.27518207006800933973786503953', '115.9934120487471552838803241859', '116.568728490603900577190563627178', '117.181651505299022641774176988986', '117.8287639634489966579933162357', '118.51672468686857644523125488318', '118.77643267406881076026837015030', '119.29245985641722145147806992788', '119.96465406755250258699929190691', '120.45908629548047719147654294988', '121.119878246995286876074922016443', '121.41333465426419041345948889157', '122.14081937691855317821572229379', '122.82000314500571918353498711773', '122.93409786482065390528058764126', '123.52218028407954567934600026278', '124.51511717750206608127175363157', '124.89852235621735017916192113280', '125.55306344912590155481337648907', '126.23028539018939559700542009003', '126.623937187651379878003963303220', '127.44297643994277299064705781701', '127.84996878711042075177323269628', '128.38089795106369642948698556534', '128.941389234608014056093224626288', '129.35626506348974182143486324494', '129.79706213097416192243596049440', '130.81260875411866355678458140242', '130.96181400571587449731103817952', '131.53259196219219965903275137293', '131.98246486286550666397026065409', '132.67987277884084093985863862619', '133.22528631830711603085944748312', '133.78308499298302138237565619382', '134.44943611112210869757454986962', '135.334050795779252858677533810942', '135.652306548317290465324936092829', '136.107633128520576128049396487280', '136.63040962231729781513416634961', '137.450443506458825288242068214143', '137.89772544124293331982163315937', '138.3287650787764963675025280813', '138.91225213132346195001799410645', '139.145399466164781270498214220389', '139.96840543565535503142611673712', '140.6771456792112312250453426406', '140.95791179874236257964444559911', '141.53290692967306866980538460108', '141.87969724863651488967402155093', '142.70004810846721738985822787532', '143.436056258333091033579521565564', '143.92056863127419614933862226164', '144.600915053598928561702679208696', '145.1766005806818023577746161727', '145.454384520640079960049608373226', '146.19563225061929985265745593864', '146.75943442896983907705949883686', '147.0991388062985931167545089789', '147.82516715066540229490527757893', '148.3368202990152243821078588471', '148.68547176763951306711621409788', '149.24005596781043395411632562680', '149.76228539001838817423466563224', '150.59705586027189037247655369233', '150.9642014760288841251357782693', '151.26764333777427216840806133665', '152.12753814742262434711001503042', '152.66353868150943078236889868799', '153.58382250779381611606494776541', '153.875052539333240548549583554562', '154.53825163853223849496454092461', '154.80479002027149917754914647148', '155.45626928429784024072775070922', '156.17725680356096850304178857964', '156.43097134132136904526648108343', '157.18778208602080693322920000982', '157.6219083363144141973089441212', '157.989942060256929116397573371828', '158.698284198810160457284307426386', '159.0511602108783394636035237980', '159.81526468997681265511515901080', '160.220020218848710771102668316763', '160.877228696184274272907743565988', '161.41094515923062131175703824377', '162.05290694397259300563388997924', '162.84197953416073741675565819995', '163.332024574765417455221062468114', '163.527833277084943813375778928750', '164.412167546378944666018344169649', '164.89803916856616422184457527078', '165.19778415650812306580710073617', '165.66020321516358458360504305424', '166.50555481568623867414281831496', '167.07832833468789120371533719215', '167.337320469819811100597990770870', '167.89799140106626156721006397868', '168.18866465065005903476584724324', '169.209005881118690367508683160371', '169.5370919503835364628712377216', '170.11961048089800585836698038755', '170.856409900054818878037810495730', '171.30076074042056087021631585079', '172.014319127986618635189051698812', '172.521895782733720188026782170867', '173.09042642122085188766433118362', '173.54289222027546392316747901073', '173.91516977080551051524706822217', '174.756041264763815318443415323721', '174.99972803821437358176097616582', '175.50134852147667392085298660699', '176.29125633272039237561787752873', '176.64357469058078904557374550910', '177.06928324977959065680658985678', '177.90690636918697611193310788235', '178.12612118651033783830107669942', '178.52542058842857555945860971878', '179.716719447368881575741151552401', '180.2114558524995804609568978376', '180.515972851186070214288379897616', '180.986411153041824186392397409409', '181.862783875428970713292978368187', '182.19897838787593706434059955660', '183.005559743154033349404605985118', '183.24097465012700445908792216697', '183.504792582498807096754785063599', '184.441898535620420721838833647', '184.81115173323338926043859190564', '185.36126533441954552247823452080', '185.751857076326854651821020856169', '186.54266433217185305669942696122', '186.84068676117151203241563750938', '187.44883285714291268671924394126', '187.8326747686219032842393869521', '188.78086465840957891090187414667', '189.37915679300899232070044107506', '189.81133005735311801596007009989', '190.35700507273119053297294846512', '190.93554157536015971500814490599', '191.38739430007691869580129556585', '191.814998045387715030002246659107', '192.69567271606852419535677277131', '192.96309925458719493999052665603', '193.42628293510506115753275235463', '193.89040978179388686640650953947', '194.45128563290765026049611483879', '195.143143731057537393174428673299', '195.55186512294613520737172211330', '196.054794914366636276759589867551', '196.67167402835984177413496700164', '197.04441787852509137878817701914', '197.7987413430605345832020318049', '198.602855844483232704895378010817', '199.048836876954716953906931396256', '199.51714785602532606864911515839'], 'prelabel': '1-3765-3765.374-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 404.6054418517632, 'root_angle': -0.058391933676795536, 'root_number': '0.933448413279599143700865708214-0.358711666587244799350216533465*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.25', 'prec': 17}, 'spectral_label': 'r1-0', 'st_group': 'mu(50)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.14958001195083682307311900366-0.381634808699823489476153788025*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.714549236409', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.46140607528', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.61653525478', 'prec': 44}}