{'Lhash': 'dirichlet_L_231.41', 'a10': [1.0, 0.0], 'a2': [0.30901699437494745, -0.9510565162951535], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.8090169943749475, -0.5877852522924731], 'a5': [0.30901699437494745, 0.9510565162951535], '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': '231.41', 'coeff_info': ['x^10 - 1', '0.809016994374947 + 0.587785252292473*I', '\\\\zeta_{10}'], 'conductor': 231, 'conductor_radical': 231, 'conjugate': 'dirichlet_L_231.62', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^8', 0, 'a^6', 'a^2', 0, 0, 'a^4', 0, 'a^0', 0, 0, 'a^8', 0, 0, 'a^2', 'a^7', 0, 'a^4', 'a^8', 0, 0, 'a^5', 0, 'a^4', 'a^6', 0, 0, 'a^6', 0, 'a^3', 'a^0', 0, 'a^5', 0, 0, 'a^6', 'a^2', 0, 'a^6', 'a^9', 0, 'a^5', 0, 0, 'a^3', 'a^4', 0, 0, 'a^2', 0, 'a^4', 'a^3', 0, 0, 0, 0, 'a^4', 'a^6', 0, 'a^2', 'a^1', 0, 'a^8', 'a^0', 0, 'a^0', 'a^3', 0, 0, 'a^7', 0, 'a^6', 'a^4', 0, 'a^0', 0, 0, 'a^3', 'a^4', 0, 'a^7', 'a^7', 0, 'a^9', 'a^3', 0, 0, 'a^0', 0, 0, 'a^1', 0, 'a^2', 'a^6', 0, 'a^3', 0, 0, 'a^0'], 'euler_factors': [[1, 'a^8'], [0], [1, 'a^2'], [0], [0], [1, 'a^8'], [1, 'a^7'], [1, 'a^4'], [1, 'a^5'], [1, 'a^6'], [1, 'a^3'], [1, 'a^6'], [1, 'a^9'], [1, 'a^5'], [1, 'a^4'], [1, 'a^3'], [1, 'a^6'], [1, 'a^2'], [1, 'a^0'], [1, 'a^7'], [1, 'a^6'], [1, 'a^3'], [1, 'a^7'], [1, 'a^0'], [1, 'a^3'], [1, 'a^3']], 'gamma_factors': [[1], []], 'id': 9840, 'index': 0, 'label': '1-231-231.41-r1-0-0', 'leading_term': '-0.0507902240758520086349054917758-0.108880240139427738696237759153*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/231/41', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 14}, 'plot_values': [-0.12014388687941932, 0.9230923833690028, 1.6506147669376248, 1.889192903709864, 1.5583987247428313, 0.7693402048806054, -0.15221242468538948, -0.780386084998015, -0.807703025117728, -0.2484568045484608, 0.5145736188208231, 0.912171592797496, 0.5326394505593309, -0.5690094760258613, -1.817893894661372, -2.4159975859660454, -1.85608888316017, -0.3354964050824775, 1.2441626738541083, 1.772665897976238, 0.6635439805323791, -1.653624806854344, -3.8676858788451813, -4.545762402592205, -3.068638306876896, -0.1079132141555645, 2.7319832235354284, 3.9203440802297367, 2.986331267166148, 0.7883844441639765, -1.1379148624396898, -1.6827628234726562, -0.8966649912538855, 0.18939910447301883, 0.491932961260119, -0.21355333181204142, -1.1502145868336846, -1.2792648506021664, -0.2779573308547102, 1.1130502395165385, 1.7121589901779959, 0.9669626208757782, -0.49145922417388754, -1.363880429608773, -0.8686865186366444, 0.4647995274057546, 1.1906671120307355, 0.2846231147123418, -1.7362182026495145, -3.0035701538045894, -1.794997663418117, 1.8720350001598438, 5.974662058161725, 7.911749221900924, 6.514258577565332, 2.9527371891589453, -0.24906042876915369, -1.256567067455888, -0.2668669067639993, 0.9639444349226093, 0.8851963626187314, -0.45536010295367363, -1.6405743679407652, -1.4156362983966781, 0.026238826311133102, 1.2628674463504328, 1.1067338959222446, -0.19244589422158054, -1.236279628219421, -0.9540789172093245, 0.27766569805718927, 1.0726289094693477, 0.6027794066087192, -0.37637367547626155, -0.23806385942848923, 1.6791298088513003, 4.024224540076748, 4.449753041383033, 1.8947677537728693, -2.0956672446782223, -4.483876458766436, -3.4108457660303437, 0.07813108665906876, 2.9613424359241978, 2.9921308697007047, 0.654023292878456, -1.5240235086112668, -1.5335324402366257, 0.24629981081193142, 1.668091947549964, 1.143360542656474, -0.7876887258685055, -2.1981674618877842, -1.8948553451893753, -0.5814477793918036, 0.12242429102257192, -0.4031405089122688, -1.1345334638366202, -0.7442660958259012, 0.6673831757594857, 1.5348789015012683, 0.6402052769891613, -1.277915544048674, -2.098838863792251, -0.642851058228364, 1.804742171845227, 2.645046237483242, 0.7684019264774294, -2.00187939432627, -2.5785159874496113, 0.17434304178087057, 4.057179003493323, 5.571259430398612, 3.3673496352057795, -0.44917358472480406, -2.4870216716809836, -1.3990397514425972, 1.0770889218598023, 2.2614132074199214, 1.350078876998505, -0.12431976893135538, -0.41879866122709686, 0.3579410288674908, 0.6144288803203135, -0.5433556232496924, -2.071915219151385, -2.231232292110997, -0.7838226109939905, 0.5897785728748184, 0.2658258837159301, -1.3073713298379894, -2.0735792228242587, -0.8808294499459185, 0.982295883804732, 1.2581709261510168, -0.3646341827017873, -1.4213711375886326, 0.7462973314654829, 5.692993613991096, 9.701293473079668, 9.279964562870436, 4.7094943380874525, -0.21426567104438252, -1.9865510625421865, -0.6415780264745513, 0.9247991494140995, 0.48039320729805957, -1.2812772303247717, -2.0942286369852186, -1.1247425486941345, 0.08648681349536576, -0.27626958567024085, -1.9373639851682838, -2.8749354583338635, -1.8812814777692717, -0.06969170916264363, 0.5663549641729504, -0.3267612829916918, -1.1160800727878333, -0.47164310536273824, 0.7064534067231584, 0.38597127105370765, -1.6944112858219047, -3.1058716167018465, -1.3787217918159964, 2.710085965329769, 5.353830976520444, 3.656238927425333, -1.042439629571336, -4.392947433196049, -3.605134168268373, -0.24082984935694085, 1.8514228723998603, 0.9238324637694266, -1.0518622186595477, -1.1587685583542844, 0.8844946468090977, 2.6211639132938997, 2.0654998261956075, 0.07647881273286475, -0.939056838573758, -0.10397380639422356, 1.0566264758559853, 0.8831811414029369, -0.1803271846818256, -0.3726643239625049, 0.7207000205911692, 1.3601992805390493, -0.024426672566522895, -2.427238646144461, -3.2054345035681937, -1.4758638652398508, 0.4075004907055283, -0.45167378267501257, -3.720843578807084, -5.826048136937073, -4.096798434677767, -0.1706993025953354, 1.6488148065942907, -0.6574898643558221, -4.435331359877544, -5.408063323563455, -2.519652868856154, 1.139296816612187, 2.1615069934133406, 0.571125038820673, -0.8717677624875403, -0.4395592382435458, 0.6916518457082833, 0.5521518945119587, -0.7366458762032682, -1.2517853881825707, -0.15046486561212127, 0.9942866855733966, 0.34356650590703186, -1.5253843272264995, -2.2145541194076315, -0.7334356142914317, 1.0288052372747796, 0.7679847901053926, -1.0422615078544637, -1.6942874734837912, -0.09767517873932452, 1.1954315329487903, -1.0688474833848283, -6.304705787998977, -9.875249449691768, -8.03259045616673, -2.268395666285765, 2.242435484112476, 2.3046713624565878, -0.25961290230369743, -1.5119472885529894, -0.22854316397418578, 1.303447026002428, 0.9250022735605854, -0.5117524201924131, -0.6884029043784651, 0.7142428427478785, 1.5506424888920398, 0.2911945844049564, -1.7501958405547873, -2.167180223286098, -0.7141022358000346, 0.5025685085028573, 0.12126254522112888, -0.545026995512887, 0.4138145433922026, 2.360894433139643, 2.634633484183242, 0.4390454269596763, -1.2780669966784575, 0.8577799703937086, 5.980454767521733, 9.22459283943336, 7.1756461118766115, 1.9669936301025643, -1.1677331147665315, 0.06959916756156824, 2.8439967982075642, 3.2547927011315707, 1.1779103902505461, -0.19381033656640706, 1.010102673777832, 2.919721919770648, 2.7102159097835505, 0.4654731153030853, -1.1417030585500294, -0.6022707877059756, 0.6086809297563078, 0.48148639556894635, -0.5849670084163606, -0.6238446510990615, 0.6610946670780387, 1.2153070709775753, -0.2833661759001559, -2.0827784865086327, -1.523309295001034, 1.0055696247355146, 2.069488517867362, -0.28655670698650326, -3.4816674003922397, -3.353121485772519, 0.37254409481866924, 3.3787113815994694, 2.1044428015923486, -1.6625328820655239, -2.9813064805185183, 0.03928787546481047, 4.010286315433998, 4.68016723108302, 2.044820516018187, -0.3072157577330103, -0.15687105183186775, 0.9404949519817807, 0.5675335937545642, -0.9741595829086549, -1.462005862662038, -0.3264498015749004, 0.49923452226752146, -0.33929147152617645, -1.356732766037473, -0.3520650471205378, 2.1165036837778413, 3.1735966460858194, 1.6191892317748513, -0.2920360992687948, -0.10117742055228664, 1.1337766288594784, 0.2789132793978928, -2.9258756601905356, -4.543910818122535, -1.3219107470081033, 4.435560078925082, 6.894911189036079, 3.563562632023341, -1.7171760168299997, -3.506391237077003, -1.068269459001548, 1.6466704846304643, 1.6163114357517074, 0.15195281364766128, 0.06712638427029927, 1.3554544708275813, 1.58266970349744, -0.08826587499433775, -1.4860846286607963, -0.6828138824160518, 1.0682144769522133, 1.1404656117571368, -0.6191793461130811, -1.753949953826514, -0.934157048400625, 0.1245268868945037, -0.4710462463851033, -1.5353520943260643, -0.4365169069354798, 2.444433702775531, 3.2935940120981506, -0.03204309600421875, -4.237355097799998, -4.025209117183468, 1.1581624868694131, 6.024245564831262, 5.765844936920265, 1.6628847082959797, -1.1772292901797352, -0.5219617406449213, 0.8682019593181166, -0.06098828528821668, -2.2426479271023894, -2.4019526287775284, -0.018196873522991534, 1.9757769414088882, 1.4652039710848137, -0.06947840172977235, -0.1336123574364426, 1.0403521916118468, 1.2146959167740428, -0.07802109124708335, -0.7483228134980844, 0.3900805553829713, 1.446389662941388, 0.3052591688643579, -1.6611608072066302, -1.0653360112061299, 2.39423074718328, 4.740541743238838, 2.8789210525850817, -0.8359582731968167, -1.4208063608905268, 1.9641747671853054, 4.6592994425377565, 2.707708886469109, -1.7771762895422896, -3.421980940498517, -0.6480673819472674, 2.636344358307584, 2.603898193486415, 0.3082178877787183, -0.5840872790137952, 0.8268662121588326, 1.9796787763277894, 1.1545561484005507, -0.11183128318636198, 0.11950320378405146, 0.9504665565737543, 0.2197597505248331, -1.7052348033732716, -2.1340628366472765, -0.21539275314613118, 1.418691060476879, 0.40296689230382926, -1.7472119121322225, -1.8724246295287923, -0.12582649838396148, 0.04126284283238448, -2.6395176645314242, -4.440855682416119, -1.4020135891439671, 4.5578838551729, 7.163866084393467, 3.5787717016064056, -1.9316904960067154, -3.460435413896751, -0.621101902071487, 1.9820581329626887, 1.4267658776570176, -0.30039092600008294, -0.2650762164288089, 0.9525960677170743, 0.8035250076149739, -0.7627963585395008, -1.1400381955916903, 0.6843085770895159, 2.3224131140487683, 1.5397540196077577, -0.37905349925471443, -0.71501070354915, 0.4529307702968055, 0.566815123691828, -1.05633832387338, -1.9175124508479664, -0.49752627357443535, 0.6463650810734125, -1.60507989527732, -5.492681985290446, -5.629586764454152, -0.2608089984621681, 5.517408497107346, 5.72630827755569, 0.940533498713613, -2.8557942157904295, -2.179806540953672, 0.22807113070670018, 0.35291592757579376, -1.2978600342819635, -1.2413181207611512, 1.2023547498271312, 2.859224948259723, 1.5948946640753494, -0.6069995595249228, -0.8888087751845414, 0.2557275963784271, 0.24878469063921724, -1.207203657372186, -1.758846561735326, -0.43445124759252335, 0.6910078672970713, 0.08209841989398707, -0.3119850088652715, 1.9752035485098438, 5.340292632558799, 5.5606583978504345, 1.9650474379218688, -0.9119273385865125, 0.5646787871584098, 3.7513579257180023, 3.219448174589102, -1.4820469577130495, -4.935255417524982, -3.2693558637013904, 0.6546659020135798, 1.519920572854419, -1.1280490987071472, -2.900531505772748, -1.226962334091643, 1.3666468138283876, 1.5763335515056365, 0.07531560026453014, -0.2554512325181596, 0.9176058170060852, 1.3143569929818404, 0.26864159095295354, -0.03286780962764756, 1.6101920954136892, 2.9734158883420836, 1.7345995418884737, -0.5935713462920666, -0.7127814230806268, 1.2984428805687562, 1.9599423542548509, -0.06273068744958517, -1.5422018826563983, 0.25732057618557824, 2.5694615932512237, 0.47645905718690484, -5.53907901993512, -9.116441993459599, -6.140747417234112, -0.2834437382408654, 1.8908737259124142, -0.6823129419924512, -3.215357011924364, -2.3413960091679584, -0.10395362129251969, 0.27003762894955946, -0.6459527401913606, -0.23849944533564654, 1.3342294171311078, 1.3786024009336582, -0.655009954902179, -1.94262602080819, -0.6435558849541735, 1.2154961869128305, 1.0346631938818442, -0.24456248056724522, 0.07151289519303007, 1.7059868177608042, 1.7159992545491853, -0.40054282136621266, -1.3475272118995443, 0.5814081225606115, 1.681895059703028, -2.4149544682546877, -9.585071968290327, -12.652001909224857, -8.424164972206512, -1.8387454658064764, 0.6766981668628494, -0.8276024352873712, -1.4287845265565224, 0.8365403178474351, 2.72091240540908, 1.5545012642909126, -0.5582142842838429, -0.373102408072124, 1.3437388879915857, 1.3272308996648687, -0.8232860642905175, -2.1324583858230435, -1.0986658498550594, 0.15747806062622896, -0.28433724848094694, -0.9897928148661352, 0.01574329932893548, 1.4011265917246891, 0.5577237706252491, -1.5296023416603628, -1.0572161783432052, 2.4873811991543695, 4.560427421984184, 1.916527660675793, -2.0921396247945507, -1.8539291425494833, 2.3429581614026933, 4.494360452139517, 1.4595714360548389, -2.619557941964166, -2.469240569807902, 0.8790421879532095, 2.1782855912574677, -0.14045744590144507, -2.2143714041755986, -1.0471293637410541, 1.2920693786386737, 1.5115186698548795, 0.1525183098147425, -0.01981274707735871, 1.130477436501063, 1.269799279332994, 0.08564611633237547, 0.0859712194060339, 2.1414587295095395, 3.4438497652833298, 1.8151229943885725, -0.5109835582284344, -0.21905356202286297, 1.684031292567124, 1.3884444406234864, -1.26338277745666, -1.939733185043435, 1.275928066954683, 3.9200370056689824, 1.179252392156926, -4.523223516394774, -6.1206680991787765, -1.5217757909165663, 3.599158488741448, 3.7238705771978813, 0.4307192306358589, -1.1246879870214903, 0.17418282372405952, 1.0917466622308125, 0.1083399594893093, -0.4764856113414216, 0.8558596048124252, 1.9195628804882083, 0.5450920991672085, -1.5515005118173066, -1.4496791188449145, 0.1781073278997038, 0.24149234802033212, -1.536444496063747, -2.1461172877571055, -0.4431282830230726, 0.8470448939658575, -0.06483234376760401, -0.5364170098931399, 2.0834147552192377, 4.837485607512679, 2.339006759456973, -4.805319361324484, -9.291755367702272, -6.404187831047219, -0.26906313577863017, 2.0072701146403245, -0.3157339553055324, -2.0681708617627583, -0.5937452460045062, 1.0152811479117212, -0.17629663328125114, -2.1714150959049485, -1.7439529730106464, 0.12915877617183724, 0.08032655898879748, -1.9697689467589963, -2.772035006197639, -1.1373624755340224, 0.35973940593532583, -0.07395535883534157, -0.6469705010080646, 0.37328442204000867, 1.1890344137078483, -0.3785617978660335, -2.3679321340137527, -1.1877673843864942, 2.1319557043504926, 2.562414683927239, -1.2090165773473385, -3.9140444091421474, -1.0912525060860099, 4.009393843832078, 4.823878269048684, 0.9000018234071137, -1.788833578190835, 0.10256582397216453, 2.7461017362451683, 1.5557973809990713, -1.8792061134790394, -2.7883871338893274], 'positive_zeros': ['0.03323362594111421016734511667', '1.82022793635962962744746510755', '2.91254937253073720193119182382', '3.91902293130488345520276539822', '5.37270136201944514228376824892', '6.350479744691892461151553225758', '7.82304469950405146221295755504', '9.17289074986761798682445093864', '10.24735629759433495263712817363', '10.86870890122811900468635479392', '11.93594105075611760828006177508', '13.01983874234713188263703232199', '13.95604738945096381654480143376', '14.73724032312059561972014071564', '15.79601729158426576400772376784', '17.467314720426858098307494134027', '18.182132747715453418148447715298', '18.97037488263012459986564017739', '19.994924627971205129575465104361', '20.89595199156664866412994491851', '21.807997778916995703501127432133', '22.678810305734830693312120786472', '23.18379863808353335711504024943', '24.52330181096724821865970911942', '25.618455784642679287224744724098', '26.6389070933610332216672018005', '27.46179958811282637734345551527', '28.31816646550808002905410768522', '29.565751534728692857022411782202', '29.83253808197323211423350008065', '30.79939215471018703200054482005', '31.66970375305280653378279909181', '32.581141380163555469013790203992', '33.51938585826866917135049597709', '34.3609603730400335959554174707', '35.58526518262575095033203435737', '36.424318720678239772491676933152', '37.465618557950137626533480272582', '37.99635126467266562730150942106', '38.63941777859825461334947206628', '39.83385573733850728362670187589', '40.374014476587397090344394304464', '41.38722653414043712731501822981', '42.12833300100164168651063827960', '42.74840920936882365896014038567', '44.357325919669371959718877983333', '45.10157285027629851425363575929', '45.716968323130148174450676448007', '46.83666110770378982060041947715', '47.10617902557217159560098950130', '48.45248801581626392773191458046', '48.975697250182703522842086210863', '49.79956907111457605470953542630', '50.38601905753625374934269665937', '51.36366098049599806097202869791', '52.43358048379096521096229976363', '53.46052165092461711147537103823', '54.197629219134047731771220329594', '54.88385927322413583011573860789', '55.95047408074552157635491639865', '56.58604384147081266721888541334', '57.44225392170301399463440891796', '57.94503272554592035170330166109', '58.74666603116462292936025347702', '59.89960003383725161021812906575', '60.24771828231569857900489562541', '61.57771240024196139869359002759', '62.130793104493345029220169268784', '63.32514442337444104507407590290', '64.15468678525626754732406216796', '64.79760661770470123849132149030', '65.4558957730689783385583594480', '66.28088968567901238874894922822', '66.937337947740237520892269230016', '67.9217728897709169631487558891', '68.57767304190766781897307938226', '69.389584403204062416899547181029', '69.91134331516654752733416652308', '71.376890193724368456965784399480', '72.15554276662669744169222571609', '72.849363855342338712464256739742', '73.63109340537879451628461783517', '74.23538319469099129246732985826', '75.04266542994628197412182684056', '76.07782172691034457389482904519', '76.60303927472168012114905944565', '77.10938692224741931419877059471', '78.17757037817063469179481656965', '78.6798581335356781919866110169', '80.14383504920687786421265606067', '80.61709957330639398096036679309', '81.768584984954212777065628724776', '81.99743504632929820798933128856', '83.187972282388713060164835185228', '83.88768746505386415233965322006', '84.5154836092041465083114242468', '85.16716479977568595848395261356', '85.89584567083690700680745813425', '86.75556086194270294209867054161', '87.474308895282108278843286915728', '88.41030194629113968732988130702', '89.236291484250727695901717985', '89.99717755881035096280575015882', '91.18339286267427446763813834822', '91.60428152772824967407602463029', '92.307027497529878534781482320538', '93.20254747986819481795442204992', '93.66889688946601277372807679378', '94.42386682800383938650036953688', '95.55491770003928788286473470495', '95.96257165261291684744926473280', '96.59655391679588219182244803618', '97.57303943394375342121455851817', '98.63822893001051485218211733428', '99.47588558504533498243402955729', '100.362062789384372673532301202387', '100.60039687199774578002262946358', '101.54894705540078076036566449771', '102.30163695836635739265251950058', '103.02679442413651614604967603792', '103.99199360467066297397885838318', '104.23695657865087520285027446322', '105.05228101238447767856950982176', '105.93537528999115138369307212372', '106.81600821862271403908184656489', '107.94957945679764462982481118194', '108.52952302227645351442703213511', '109.05327681054200790978711780812', '110.00204514499105462007201391497', '110.91801706844827266722438731137', '111.29305975211015026416738393369', '112.17030320666657939203813277156', '112.73478163660473251311564894053', '113.48148175084951063076149486258', '114.17519005475494106727067481327', '115.23180013746459273403944286628', '115.78241066411616894926371026616', '116.74751390193723014472918890463', '117.551454093064775304559685968375', '118.48636327294411816049247635124', '118.91572513712866194470180706978', '119.95480705277473167835994024856', '120.26933782136680942121128875051', '120.97621043595022302079320241951', '121.90355489529023412838276766290', '122.55602826504193430307156951792', '123.46411364358308799089993913670', '123.75835204492953485394625729288', '124.763707713906621083822388385351', '125.81569550207362748118151865087', '126.617694384042711026235874502668', '127.42955783156113297494199493419', '127.882899387360329829295083599622', '128.60369328833960057607536975750', '129.28063991593848365697583504352', '130.24044615124763436611087428630', '130.821786367927127694059427621582', '131.380640655675207052952178488051', '132.269478000955685614362408570020', '132.653657108475928926818451275849', '133.76195004262303989953154040689', '134.74397790770697432696157675341', '135.58586140955012910829736677954', '136.01122684910725243351160076071', '136.73850001533040018455996386942', '137.70980211874985975632057230111', '138.36294969276363210211436576712', '138.81646995397333384798711666428', '139.77093588536714282934527137286', '140.336903246321527142206347127634', '140.70633870632267821503613488276', '142.04078557720091204793671945377', '142.442252793168937015632986623024', '143.34945480434166619179793261383', '144.31422761115377708500685436304', '144.88650390037817925144751348256', '145.756440725312284501099538429876', '146.58120129621026319861380521238', '146.96191623615938169104855732268', '147.89927403629450150285511775224', '148.137516484718003597068764731942', '149.2808161230636590292916474504', '149.81193490537084488036100717499', '150.617185997849619156507516690035', '151.22244964930471150753389085837', '151.90471782846734380683889399304', '153.143750523788664007067947788354', '153.68881659856130434165719528001', '154.708879235739891241982518411173', '155.094514987057179570143373725154', '155.67588670926250065186771880283', '156.4737077119812627353945556555', '157.27923949197152328813517569333', '158.04936699004903340791585734730', '158.42079157835912088602494443389', '159.32011196468066053723310517049', '159.92753335988625253727709461266', '160.49309149003899633460551973542', '162.01763597620371308465538913904', '162.368168941945563727441710282763', '163.03216844361742469879366809458', '163.95814685432629147322744884881', '164.446077235354715412289621552169', '165.204488095838277016728046899461', '166.17842699722266107316519053512', '166.4681599099051688189657820005', '167.184607485023330450505836204755', '167.89212115389158519118727481284', '168.54717494998947361529581915230', '169.50787715277735584334158288067', '170.15096915562338195895072353833', '171.0337574195480646440706530625', '171.79378845664263624532796073121', '172.4855481337720321292942147751', '173.25244203038028273734222967543', '174.10983230207680941551523875982', '174.38255280442052819139523227643', '175.33963291115571481712416770973', '175.6016219910415877107455322227', '176.782959150062386960298523835154', '177.22538439609244398509684715709', '177.98287431201973230267067036726', '178.65033474745248158190835642383', '179.44062275491477023345232574177', '180.390080367400500582758626468945', '181.29548595735261936117094612109', '181.84363716596031321648499322085', '182.5264672252994814221563191922', '182.96508284465864426804907929', '183.82150963370177663199647331434', '184.64743297772697694858961848484', '185.05442006041053617115415781725', '186.006463238021797293830159568755', '186.54804342315213211055525117640', '186.97814057182303975395514898542', '187.92483191570711699108525948491', '189.07951453852451436462072351166', '189.65472396948142521722268820593', '190.39403504876872947064374927451', '190.91278753896659810392085218188', '191.847066580541771461217209436410', '192.204030892656587832608521411426', '193.31837342910210792898842768619', '193.72651840239113456829954503025', '194.29374560010655610452693256605', '194.95065460494311882585228597718', '195.737102134536411781298677992065', '196.47790383264221038302380501664', '197.25141046639532533442840704686', '198.191908052704435665657770183667', '198.74026609636271449271284287326', '199.51391823284771648643165320734'], 'prelabel': '1-231-231.41-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 24.82439762755838, 'root_angle': 0.361066607032565, 'root_number': '-0.642573377564283196997520906073+0.766224154177894049847345090434*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.361066607033', 'prec': 40}, 'spectral_label': 'r1-0', 'st_group': 'mu(10)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.813161752394999653512767565291-0.357771324732901098298888927065*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.0332336259411', 'prec': 40}, 'z2': {'__RealLiteral__': 0, 'data': '1.82022793636', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '2.91254937253', 'prec': 40}}
