{'Lhash': 'dirichlet_L_1600.29', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [0.07845909572784494, -0.996917333733128], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.7071067811865476, 0.7071067811865476], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [-0.9876883405951378, -0.15643446504023087], 'algebraic': True, 'analytic_conductor': 7.430368762075773, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [5, [1]]], 'bad_primes': [2, 5], 'central_character': '1600.29', 'coeff_info': ['x^80 - 1', '0.996917333733128 + 0.0784590957278449*I', '\\\\zeta_{80}'], 'conductor': 1600, 'conductor_radical': 10, 'conjugate': 'dirichlet_L_1600.1269', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^61', 0, 0, 0, 'a^110', 0, 'a^42', 0, 'a^83', 0, 'a^97', 0, 0, 0, 'a^44', 0, 'a^129', 0, 'a^91', 0, 'a^58', 0, 0, 0, 'a^23', 0, 'a^61', 0, 'a^104', 0, 'a^64', 0, 0, 0, 'a^87', 0, 'a^78', 0, 'a^82', 0, 'a^115', 0, 0, 0, 'a^76', 0, 'a^60', 0, 'a^25', 0, 'a^91', 0, 0, 0, 'a^110', 0, 'a^87', 0, 'a^53', 0, 'a^72', 0, 0, 0, 'a^29', 0, 'a^119', 0, 'a^86', 0, 'a^18', 0, 0, 0, 'a^33', 0, 'a^76', 0, 'a^84', 0, 'a^89', 0, 0, 0, 'a^122', 0, 'a^78', 0, 'a^47', 0, 'a^85', 0, 0, 0, 'a^96', 0, 'a^45', 0], 'euler_factors': [[0], [1, 'a^61'], [0], [1, 'a^110'], [1, 'a^83'], [1, 'a^97'], [1, 'a^44'], [1, 'a^129'], [1, 'a^58'], [1, 'a^61'], [1, 'a^104'], [1, 'a^87'], [1, 'a^82'], [1, 'a^115'], [1, 'a^76'], [1, 'a^91'], [1, 'a^87'], [1, 'a^53'], [1, 'a^29'], [1, 'a^86'], [1, 'a^18'], [1, 'a^76'], [1, 'a^89'], [1, 'a^78'], [1, 'a^96'], [1, 'a^15']], 'gamma_factors': [[0], []], 'id': 472514, 'index': 0, 'label': '1-40e2-1600.29-r0-0-0', 'leading_term': '1.26787600663532427205242215762+0.00248947191680066863779168809539*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/1600/29', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [1.2678784506694485, 1.3648986024794432, 0.9113078707501364, -0.2888596561793524, -1.541801344688361, -1.85509912969273, -0.9777318410465429, 0.15913972844464463, 0.19522120243658564, -1.248807299289413, -2.9141493468198183, -2.926265703690126, -0.7437327648547848, 1.9506014652819879, 2.623691033994326, 0.4060658879173626, -2.852907077483247, -4.308054404590397, -2.960324502775631, -0.5497094284625103, 0.5375229785224411, -0.029712611506348435, -0.39136902050655725, 0.9194683070651379, 2.8978287218269303, 3.2132877687805736, 1.2516765682000555, -0.8857697188965715, -0.958725064659688, 0.4102768529579322, 0.3526024606731018, -2.453465646399743, -5.60681351629677, -5.535594059861474, -1.8697645836785068, 1.9059764221081346, 2.519475519622124, 0.613532821452475, -0.5727298520455886, 0.3915516536782476, 1.5819764963597254, 0.9109218028725995, -0.6687288576520773, -0.6046207621754064, 1.2764127465250898, 2.2129820940687264, 0.5054754370130534, -1.6398439364647088, -0.8990271236258998, 2.3244466917383093, 3.9853437860046803, 1.7438322405530124, -1.727759477004892, -2.2577145205894276, 0.2530684928590022, 1.9555249822764353, 0.5622073353676392, -1.6885095831454016, -1.6547173135512256, 0.1257146972974812, 0.6608426269647438, -0.6706477679141067, -1.3415206103069715, -0.13185584331512434, 0.41951992919721115, -2.0858985105379984, -5.4504272096967625, -5.231493579151154, -1.1003513478576505, 2.228083874652514, 1.3278476039545208, -1.3988915211921327, -1.579085746953638, 0.7355947075823823, 1.6338015225902773, -0.3737532614505408, -2.188002736982534, -1.165177264733006, 0.8533116640299827, 0.8233282004408229, -0.5038124761813072, -0.12571796005647398, 1.7712192816201964, 1.7989458756747208, -0.72446749279175, -1.69949054441223, 1.7680057934731792, 6.27496142042562, 6.359042773934519, 2.1739456083474265, -0.9693615858667226, -0.3813374967596598, 0.8617098307698462, -0.3102276669504836, -2.0355995285604873, -1.1570637458737019, 1.174667329063212, 1.4408500811526026, -0.23073526955631202, -0.37532287383618246, 1.6271457096064443, 2.227223674410852, -0.09388816245636114, -1.5991845924767498, 0.8250322457429246, 3.983898949021156, 2.7487249121047506, -1.888739068529739, -3.997618735901541, -1.4992428866858116, 1.231591885028517, 0.6131816783758846, -1.0957236205499297, -0.5542730056612459, 0.982509522531141, 0.651424528654831, -0.32384771988394545, 1.2293024751294972, 4.1387312590100125, 4.020529776122578, 0.6225956943858716, -1.3127059531287424, 0.18531164498485778, 0.9233792144086383, -2.25978689469932, -5.566749897901106, -3.894413324830664, 0.9285978370846728, 2.873919196779527, 0.8326903234369317, -0.7148440747255002, 0.33439605163566083, 1.026184437955299, -0.31651685518882466, -0.8442796917251492, 1.1842585360920939, 2.6184937617516972, 0.9700959787870511, -0.5822015434130793, 1.5204056130890484, 4.341475431147032, 2.6117202736024616, -2.320463075379215, -4.093076614053976, -1.3236524065643347, 0.6008885929910207, -1.3214646753690429, -3.2772423723480033, -1.89346033818795, 0.037575926361062086, -0.9523294023806811, -2.7485735525291113, -1.7996715674874098, 0.3605813481965656, 0.24441801225758503, -0.9440965411913509, 0.058584149511579114, 1.3758276831236924, -1.6338887552934798, -7.410426143537691, -8.866957630281636, -4.069713840207815, 0.697663723104106, 0.789392513525469, -0.5595096423569554, 0.6462127921981642, 2.08398009934842, 0.21576236194252257, -2.6347304516755092, -2.3097986934678088, -0.17286439851383395, -0.160886746656415, -1.3723880800183075, -0.25240365399195297, 1.9417111074832443, 1.0966232653200063, -1.415849135215611, -0.08118304357174937, 4.824954906209554, 6.543463219088206, 2.753517346165047, -0.4988602829119889, 1.201100155059397, 3.9426061031985618, 3.00124624869829, 0.47514709962171825, 0.14126306511621164, 0.37709655615327314, -1.6844932255630438, -3.637839389326607, -2.0374964012049324, 0.6684409043598625, 0.3066112142780708, -1.166342041256214, 0.6444426185983844, 3.664177693632084, 2.3080056296168827, -2.1779358078764406, -3.0286092488023124, 0.5675542336564049, 2.1136044491365813, -0.9635878518691279, -3.378404166353888, -1.6247298665333332, 0.6606908261200051, 0.2906059706037435, -0.17708390494727116, 1.2323575867902572, 1.4820777244093937, -0.9218686757204005, -1.740516431256553, 1.4004498805682382, 3.700563693076039, 1.33660729895129, -1.3086446939513685, 0.7015913502038245, 3.7702957255662186, 2.0635893153063223, -2.0340227305738083, -2.264234645297643, 0.5322124690494265, 0.6803721915039136, -1.8411597955336836, -2.1673928554236315, 0.008029530410737576, 0.5998690626120893, -0.45252870553347685, 0.32785602170299066, 1.9057900732328927, 0.10524844618945599, -3.3821747965336, -2.6370685617450884, 1.6104296352674887, 2.331163150163987, -1.554262025158931, -3.1085716006985473, 0.42682274038231344, 3.180477536506095, 1.4327274330057425, -0.6270615688114121, 0.21579864434035326, 0.5804317612236118, -1.7389905459093693, -2.835532948982052, -0.40406377605962157, 1.4991149537775879, 0.24259181582504002, -0.6554004888738107, 0.5871534163667558, -0.31991523951890305, -4.692282592901269, -5.965097083725913, -0.3952303545754941, 5.32473570398012, 4.363656103402931, 0.21692341415237992, -0.6661330175098175, 0.4681157741620501, -0.46554711192433484, -1.5247056665959502, 0.6558857153676992, 3.1308254588915445, 1.9140067272525207, -0.3023608031574265, 0.36914175177718817, 1.366091926901247, -0.50641026546909, -1.5752568025370222, 1.8057267733225677, 4.833887237725066, 1.9844802391210898, -2.4911609092670233, -1.5430740982787965, 2.4371131662915957, 2.4892584103943167, -0.5266056580591528, -0.7947656682360169, 1.2971438848399994, 1.1450657830198818, -0.5346177447071696, -0.03854963130447051, 1.010953699792868, -0.7632795360306934, -2.4738120892280113, -0.07150795010529958, 2.7476598002808053, 0.5688840920900966, -3.2615956796425616, -2.4510485318862556, 0.4935053846465096, -0.8016102260759733, -4.2057563362865595, -3.027083833499149, 1.3610135786538988, 2.2329405868183567, -0.2970880662191012, -0.7919192130115693, 0.8188308782144849, 0.630738187185266, -0.34509818169115114, 1.0994941428708256, 2.362186962782942, -0.21883583705901968, -2.8017743496559175, -0.4144469407121725, 2.8551957656080473, 0.6672539584483692, -3.594318893819556, -2.7949763395651863, 0.9825547434533353, 0.9441279706056707, -1.6827790671460074, -1.0224615298337463, 1.7591659354296174, 1.4811076501232618, -0.5636492593547953, 0.08944128750782675, 1.6981288614509127, 0.3615215095248424, -1.5370343678565241, -0.554626790833965, 0.04900960850362725, -2.688133597781829, -3.540936232880945, 1.7985087454018907, 7.03923729234966, 5.098656252206033, 0.1956346249618486, -0.2805754127823402, 1.601951143278948, 0.3273733913039782, -2.0133666519263946, -1.1115567107381061, 0.4020510749956466, -1.0767587280237794, -2.3469323365629817, -0.35099674296467576, 1.0109347196256306, -1.0471251067927894, -2.048777177684242, 0.5356151463460086, 1.7104028359585344, -0.43966302678410235, 0.5646853487899575, 7.076875263336706, 10.861739521769227, 6.638517421321142, 0.843690568689718, -0.23125013852303947, 0.2504910762943747, -1.2086232268616246, -1.4750698726911926, 0.8718739057469872, 1.3575044695972356, -1.051685682629034, -1.3702029436283762, 1.037785924152014, 0.9922840268859885, -1.334648772691554, -0.18111951326725034, 3.4747868420102943, 2.5977359200938137, -1.9978962380434007, -2.23714880176949, 2.176287696825249, 3.342685384309503, -0.03161337956848051, -1.3661552712755556, 0.5189867955046313, 0.4282675768546056, -1.7672533090328744, -1.5621503818846052, 0.156889942767358, -0.4880302694951582, -1.3228047223223882, 1.0475979241222966, 2.4969059748034867, -1.0821000191307935, -4.077529934863712, -0.5892291892810396, 4.071724608069134, 2.8664070899681535, -0.5065499453385327, -0.03157962480003373, 0.9848743019216871, -2.0526159779474122, -4.83792275695595, -2.632258449962667, 0.5060675693450485, 0.12823306764120762, -0.7958997541761588, 0.1311215645042575, -0.2871442110011349, -2.0305356507936176, 0.09883544284890061, 5.116573241717672, 5.417297210254904, 0.9567112053771781, 0.005065269559309686, 3.535507436892199, 3.6463000583513994, -0.8828646834812055, -2.617192406340808, -0.00957696070197379, 0.9028719485303359, -0.6798537595273244, -0.014664423588879072, 1.9980935709519196, 0.7887772837056367, -1.550923375272601, -0.4224198569759964, 1.4976032212069552, 0.237029562805795, -0.6014006421476071, 1.9577063347553865, 2.169371751855395, -3.337659985171194, -6.824103682560119, -2.5774085358259606, 2.537882829047553, 1.7328413943318273, -0.5639655187330993, 0.6685460934892618, 1.8387502424077278, 0.10886706392599123, -0.6504120918378278, 0.6002422128486185, -0.7095336365678171, -4.130639214371474, -3.8533840295305746, -0.5280495361941953, 0.06304984510398845, -0.7587662114323651, 2.1165726227529698, 5.033945853873661, 1.3630688332601002, -4.490012686834513, -3.990729519225469, 0.12202157379619082, -0.02310123104337372, -2.6860437668590706, -1.8354940804844235, 0.5640922929609056, 0.19238376893715775, -0.3949468741336569, 1.2290283888367255, 1.1329644273191406, -1.7984837511397282, -2.0244554310761873, 1.0858084837179987, 1.0388686341675633, -2.2212842198174325, -1.3222011745796465, 3.4016579242385188, 3.7168398390393373, -0.40716389291345784, -0.9260847414361407, 2.339482717125682, 2.2603955922079724, -0.8718912377675926, -0.8983519862595433, 1.2656690466287013, 0.7061639554620776, -0.6869916800784102, 0.6919132958599381, 1.6562048976920842, -0.22571372257858852, -0.37480249094622076, 2.328517413366421, 1.125529590906872, -4.790030397899986, -6.340788104717825, -1.0054725161141869, 2.342858971981018, 0.009675506022460508, -1.40867082485018, 0.28433230408392157, -0.27874810002984673, -2.9509981644962173, -1.9832212832846075, 1.4285302932714399, 1.465935065239397, -0.4885475795476162, 0.09053288301079088, 1.0223071759462024, -0.15071905199522828, 1.0670658872691627, 5.879493081438851, 6.4259185699617385, 0.13961594501312835, -3.84635587606892, -1.0548296951782654, 0.91476537616597, -1.9015245739186857, -3.146080203834175, -0.3632338792915174, 0.6256721437650209, -1.3189912968395554, -1.1755435340217877, 0.49600593204603405, -0.663733598864908, -2.179777068838064, 0.06971588272702699, 2.076549156736523, -0.05150686142002958, -1.2194946691472495, 1.790785335866897, 2.6706625923325977, -1.019615672777289, -1.2977727563882475, 4.497935085600696, 7.376180913411751, 3.3484061298110275, -0.11544825241903647, 0.7809109575230377, 1.1754138550864441, -0.06294242344077679, 0.8841164759912741, 2.289950116807214, 0.2186093950676661, -1.691002372343166, 0.5564257314295274, 1.9562252884511642, -1.309280447166435, -3.277049691826453, -0.6688877303183185, -0.184636316766994, -4.052105597694691, -4.212356523352552, 1.4565521350136716, 4.171528391147154, 0.9350797209157726, -1.1253867913225348, 0.2332919061272021, 0.10442350781609175, -1.132668831937815, 0.6901226477081754, 2.9338568637454636, 1.48105901872295, -0.16012363189417173, 0.6527125548492654, -1.217633298814923, -6.654826224378628, -7.306858142396067, -1.3973083572626206, 1.5890082016162155, -1.4933853720101724, -2.7534103514849013, -0.021890918188270166, 0.17618754087606417, -2.228022886385414, -0.9713773277309967, 2.551689079128193, 2.27233496265199, 0.005804501908519164, 0.2592207544789992, 0.31879413359923503, -2.0930805779193835, -2.317797991491405, 0.48351075975075813, 0.08153648492777918, -2.8052558875085785, 0.023475391722410192, 7.0411636624862775, 7.792763298771037, 2.070020227242156, -0.6795231424420625, 0.6398218804299797, -0.0971416514708671, -1.7751669170673359, -0.0035934937765114455, 1.6850102210775035, -0.6148262231462465, -2.2807830676856824, -0.22585350656434564, 0.6990852174555342, -0.9178641411793134, -0.2399668496589233, 1.4152218068822773, -1.7172661449630366, -5.696090436555814, -2.5978058619977404, 3.0486950387312937, 1.9769857755686029, -2.329527384028894, -1.5646152970491394, 1.4555906660595204, 0.772597314789792, -0.45748918724905124, 1.1501023483652808, 1.4395846361429427, -0.8834296268924385, -0.852663150215641, 1.0114770885120759, -0.5497942745830073, -3.001371104587877, -0.7806102257804489, 1.8807057254124127, -0.605637694829914, -2.576092134865081, 1.3312709222724552, 4.234265646317142, 0.824039373755409, -1.7968970136469278, 1.0685971604243591, 2.7699897228965256, -0.10307094862420739, -1.6488866246952347, -0.012864016814812876, 0.35984618778507094, 0.036429636147882256, 1.8870131126914276, 1.7988370007873842, -2.9540926141643657, -5.378226550436043, -1.7358789828826222, 0.5526454589317562, -1.7297443992050727, -1.2920918793691996, 3.0953229099741257, 3.056088786839453, -1.7766333036889155, -2.637120390504875, 0.8269601641934482, 1.353170086801748, -0.5093846590037054, 0.2686167039602175, 1.187203138678687, -1.0927512970668107, -2.285813212155075, -0.339611363079911, -0.25000150550749334, -1.8676059068445467, 0.5789860185251321, 4.137288739407839, 1.1164736544355849, -4.12558584711947, -2.1373752417380594, 3.305047287170845, 3.068663459007415, -0.1624627739219704], 'positive_zeros': ['0.87233684362568724913284728302', '2.13085809001675487777004301138', '2.564442974499671109046254328290', '3.82966130220293073524793610598', '4.726068782934608933678872175527', '6.03420490788785639525885741610', '6.55161003479736086360409405656', '7.018067682434915357630630826342', '8.284409477672533649466568334487', '8.96645157984966037190895732282', '9.43543696114870760003239051126', '10.75973211591320928210368997878', '11.66515520710205672759498487477', '12.10592530261160548831897672682', '12.98036684217077745670058789278', '13.55453449493983243017454379715', '14.43581676124680041762204640575', '15.09791645875429964593501234270', '16.08176988372793917470428819222', '16.847345856833702176758371593376', '17.569077859674823496199354908332', '18.413764693327671123789556090721', '18.92814510041275156816773961572', '19.71557180501477265749955622807', '20.0921733935587692827924460587', '21.32642084644482778702770899307', '22.01797138829777647315157323464', '22.71874210374007550623337591849', '23.39297699820648037039159973612', '24.22466463307941866930120614261', '24.86884174871682128595848899467', '25.336269635355519614123584466702', '26.16811883891809286335863584023', '26.75549400915716994475848818819', '27.98390348681946442451386406840', '28.50627137937253295062622164434', '29.01507695599840181084118397747', '29.83496973919171363494288449892', '30.57917199076628839444871680849', '31.011655488754441521627135250404', '31.864518737591986261720195008637', '32.42911032931693996965570692872', '33.31293186127010883196937496038', '34.199291657466468959146401669677', '34.78257172923099712255831240730', '35.41190313372420063315826352680', '36.09536255757385815028467107337', '36.39272738382105437873629451428', '37.558467000000959106458605592245', '38.09751754657227793242955466663', '38.56831582280780448382138634817', '39.62353361455294907476288286987', '40.42168009047038795624584725927', '40.8698244727598087978565618552', '41.50249097014496544855863224780', '42.036845275904443077316631397019', '42.9438113464559812701965924779', '43.27722200511299243361202144925', '44.22765191593853953277867334345', '45.1410671025241919412653985634', '45.46820128747474691721854552601', '46.54635092696445261392846327334', '46.68941236230435867743330136710', '47.74309579155706531756117209797', '48.17974655615536593201755087086', '48.74081924746838440182559783961', '49.266244202424159639252700527441', '50.55510947839204452283866524258', '51.07976549665884858547796034710', '51.46165477847498139230458962120', '52.208204799393097832770123453116', '53.16693925649558007482662476919', '53.39284339589317872838718009448', '54.09461561608219946051266030156', '54.80937665866621360196024792199', '55.31882024222283004843471686471', '56.468272266953584522158403907792', '56.74649097284877888113906290226', '57.968666247463796637275355559585', '58.02980651866163438406318415801', '58.531978210212155600967577908315', '59.58555939126545959659594306637', '60.05078035620231050317886064136', '60.56227826305979424713559710522', '61.408165072013158454978980837865', '62.141912751368708147541286237351', '62.735689511629149715935688704120', '63.622425730508816350095691316', '64.147765913866786691873432011523', '64.43893490977620894598708351801', '65.206424314140085458720772129292', '65.82446298234178885844682593936', '66.67779494534123592873685219942', '67.12676458460599911450892080700', '67.95863452715954115184769269169', '68.68400794832208821863153899512', '69.1551702928650239972526445444', '69.99872459442061481900892129130', '70.47958932851494912260001732580', '70.879805208337968151807139354223', '71.57151019821864301887220608335', '72.37937491773101315403561912008', '73.01203132341003271846775484259', '73.71996484239789831698238940700', '74.54248432606076208552288912321', '74.95424339340581673952459624530', '75.41720318529759332302524919571', '76.29163621005911121573196110310', '76.91619869257849846244877909235', '77.36743335871939527144007752623', '77.7788304783166577144918036260', '78.76683592268507408874763196434', '79.710663669636507708976834259211', '80.159297848570327974002843084608', '80.54000468358487311900509715805', '81.18607182235423234604030370628', '82.116948090637385236337395224668', '82.42876445396602548720224344323', '83.06321550235776546749223746161', '83.62108637104095766081641370999', '84.492735692793671565377509018227', '85.115294941273414435462001937580', '85.87552789175370252984845403583', '86.369051914245124160508058461848', '87.06690750352093363920389598417', '87.507728676294736594722048883323', '88.034297717800483009767037655213', '88.75580545707121467827560161061', '89.415286729652066521450620794931', '90.2358702924876628692512522878', '90.545321069225899585413364200365', '91.45813944821104250362143705409', '92.148578251910553325312897848355', '92.65165228505834702187867679287', '93.2720817296044183653528962695', '93.57754802349913428751775073917', '94.35694830748059132815113609018', '95.03031044224144266897484615243', '95.66858321050596452299761423754', '96.46736014822265864105373041789', '96.98183745959297803694786225125', '97.60745343934546919730365386703', '98.32827703251787268157557902873', '98.735770680680001286032683303609', '99.41945999343801914558356939919', '100.110806556756236206936090952529', '100.32397350895057375290797165415', '101.16843633970380523611732913986', '102.20707865350053176807929936808', '102.54354344875828396536923637747', '103.16081892420283683298975377143', '103.92071393065977237900759548881', '104.21540080842083158526999622238', '105.04206920790765608194391844067', '105.500839401300325540543936926678', '106.19534581379634961608862775837', '106.811763295918879455042118144265', '107.1426734646159723557024706351', '108.5327406236578686313501699724', '108.83299520586498625006522232360', '109.14933971517719510848292437244', '109.89215216361276352899647286818', '110.49678321431043924188422797026', '111.11679067809453597916913293552', '111.68866886068358425045928141761', '112.203353121915177073388617820995', '112.98459081035101831747099135111', '113.602883562463724534721308020353', '114.37211472394850857594428487281', '114.916754447449544982163842372345', '115.37655533268151704683842105050', '116.20333914223779426245701216287', '116.45854626088434874765632441554', '117.082380495679058955273585988865', '117.74244899935422847025135713990', '118.46929185422992464824249318225', '119.30588745443742225809753661321', '119.69251098789288890277928304622', '120.14649451879006660155336231561', '121.17137066845826949164708497744', '121.58860087658943859873164992010', '122.146303925725537604302300440752', '122.44328440278299877425888598131', '123.11833155164258484552106075282', '124.15520947985252687662723855947', '124.37430401478849142073221454657', '125.25296817704650241840723310684', '125.93860199653547718118036316285', '126.425517584592441222654926190583', '126.87708191647427063780370057898', '127.58545312257768757532683964921', '128.17576175815032542498579018371', '128.785680193136853162188063526804', '129.16536483385215359060223342886', '129.8353026683090247884888325288', '130.75187388038722362445852321969', '131.44096104616141655278999938133', '131.77747957171736893082949840795', '132.51679105209692167838047666949', '132.97177718346480612405243856669', '133.35931458702698693243289294500', '134.45204868882040617112358402787', '134.70404513121600145796720273401', '135.13657324480861899312688948967', '136.00125320119427584294900712309', '136.861667855647699224641287478007', '137.18471609969420021626303932661', '138.0246769798843558906109280971', '138.48246708257079017727386406246', '138.85350847691809459972283768303', '139.50495392250300878217329242028', '140.2020691880323762169424611153', '140.72618768926938398276191358769', '141.34054653562253759638333711800', '142.15306454824788513354695299738', '142.59589626323065819486549900117', '143.34116992609260240622204543272', '143.86939445823569583150404070775', '144.488914031518299704797881263673', '144.89551749481432200807048550248', '145.5912452193845296036193742939', '145.988638126001354865527548405639', '146.63050430420480090001473299753', '147.55476123578346423169074025283', '148.12596144834517796909762022656', '148.69584877154127842481971928109', '149.02521076156198456060099153577', '149.85687627447682744515473963102', '150.52263094059388175183614817403', '150.91983379733781789104480457699', '151.521407496021191443419749962959', '151.75595460001506116895121659753', '152.81878355489478252988795426333', '153.52700283025461141979636090765', '153.88891542835221603380492994964', '154.728957796816119259186262056643', '155.11453217069944112167541791530', '155.81297493893514642070963851705', '156.15513587389367912661198118084', '156.86848085404217927435143422004', '157.49453615302475465067135364684', '157.966857028064860476598887573290', '158.66916025512750740787010253526', '159.15148675892489126120469376583', '160.28181858796210896624557240372', '160.46525691105687606742936614428', '161.22185762116597284736529464324', '161.38983114127275310094220802429', '162.2091523542875944768127992170', '162.75809096314529913639397850002', '163.33784018905027230303323722730', '164.14741282946995770680059482152', '164.3493299771707771549755380690', '165.23821328828444576401720403875', '166.018191903094179106988791425021', '166.51352586222655723554379033027', '166.896230923066385744359521312273', '167.42685546166544712023507453277', '168.35002602050022983590322082888', '168.54642281696178467931567496626', '168.960003707449293192483550330754', '170.07801596878626123436344599235', '170.50336189008324349277601216442', '171.252771443114309352434487827973', '171.58735212766295237275815374976', '172.26748254516535315852212781587', '173.12650096821362310672996258373', '173.35905311158953427985490820041', '173.80570188273547014445309404493', '174.62707904175577992455638304089', '175.00873078605145024915278700165', '175.623870819361281829811265599827', '176.71024287465591181070595849789', '177.051930311908490197159221497', '177.48595548606823372980350822252', '178.12538705888722288779451453672', '178.68991496131013153294702447266', '179.40428741038672502447765451003', '179.83016599055265429577656268492', '180.34476083913937418440754470486', '180.82415081718141070066238342576', '181.68653753398131916762703370965', '182.31513634404961252614360377314', '182.95092909605252116247611325875', '183.55950768180868438136896785878', '183.881350585313154956287850072812', '184.56924784122237904184318278864', '185.12300846427020778498679386089', '185.56939165966051289830035826621', '186.31214802373257914775443058049', '186.82624842790578776374585831660', '187.42009816666943096557414036693', '188.1813036672627142520904353408', '188.663308543444501340383203411511', '189.365460670529058187372037897836', '190.00249187218485452297195362397', '190.46654549645838613748347638860', '190.609009586991225518901349252409', '191.38950947525521913846958605212', '192.33152418796404965025226032410', '192.61026670751822998786666707217', '193.2230506607867853931270803486', '193.94721066383006487450244352521', '194.6098651897770774105007186976', '195.20389272239045964698430139892', '195.57899824669299021997853142186', '196.13048127083121187273900261741', '196.94288492926118059140370553544', '197.133907259749498921732030168358', '197.77118115027441403207590508767', '198.49351225776915615216383608203', '199.173606185546904706371408498492', '199.97538314276746950093790081120'], 'prelabel': '1-40e2-1600.29-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.430368762075773, 'root_angle': 0.000625, 'root_number': '0.999992289381470608997341893026+0.00392698072380600049315492776856*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.000625', 'prec': 30}, 'spectral_label': 'r0-0', 'st_group': 'mu(80)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.970425473228143604664218628807-0.155039821284427954456172841584*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.872336843626', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '2.13085809002', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.5644429745', 'prec': 40}}
