{'Lhash': 'dirichlet_L_1968.251', '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': [0.5877852522924731, -0.8090169943749475], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.9510565162951535, 0.30901699437494745], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 9.139353577353202, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [3, [1]], [41, [1]]], 'bad_primes': [2, 3, 41], 'central_character': '1968.251', 'coeff_info': ['x^20 - 1', '0.951056516295154 + 0.309016994374947*I', '\\\\zeta_{20}'], 'conductor': 1968, 'conductor_radical': 246, 'conjugate': 'dirichlet_L_1968.1427', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 0, 0, 'a^17', 0, 'a^9', 0, 0, 0, 'a^18', 0, 'a^16', 0, 0, 0, 'a^13', 0, 'a^24', 0, 0, 0, 'a^6', 0, 'a^14', 0, 0, 0, 'a^22', 0, 'a^18', 0, 0, 0, 'a^6', 0, 'a^17', 0, 0, 0, 0, 0, 'a^21', 0, 0, 0, 'a^11', 0, 'a^18', 0, 0, 0, 'a^12', 0, 'a^15', 0, 0, 0, 'a^21', 0, 'a^29', 0, 0, 0, 'a^13', 0, 'a^12', 0, 0, 0, 'a^3', 0, 'a^0', 0, 0, 0, 'a^27', 0, 'a^15', 0, 0, 0, 'a^15', 0, 'a^10', 0, 0, 0, 'a^29', 0, 'a^25', 0, 0, 0, 'a^21', 0, 'a^7', 0, 0, 0], 'euler_factors': [[0], [0], [1, 'a^17'], [1, 'a^9'], [1, 'a^18'], [1, 'a^16'], [1, 'a^13'], [1, 'a^24'], [1, 'a^6'], [1, 'a^22'], [1, 'a^18'], [1, 'a^17'], [0], [1, 'a^21'], [1, 'a^11'], [1, 'a^12'], [1, 'a^21'], [1, 'a^29'], [1, 'a^12'], [1, 'a^3'], [1, 'a^0'], [1, 'a^15'], [1, 'a^15'], [1, 'a^29'], [1, 'a^7'], [1, 'a^14']], 'gamma_factors': [[0], []], 'id': 715163, 'index': 0, 'label': '1-1968-1968.251-r0-0-0', 'leading_term': '1.09746547979498534530585245051-1.08880926316918391589335606770*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/1968/251', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [1.5459418135572436, 0.8743130929739141, -0.17099046350938887, -1.1683402903293896, -1.1129443069475475, 0.3116534784809756, 2.095157447603047, 2.627888735042066, 1.2702016439566555, -0.7945514992009158, -1.541140014763506, -0.17873654401002909, 1.8406236177300626, 2.2040945381474595, 0.2475897588383207, -2.1888109895322465, -2.727787638521271, -1.1445739283198364, 0.4111386082781208, 0.08711415578213895, -1.2832908153869156, -1.1658451857840428, 1.3277507624253182, 3.935852114491961, 3.7617983724829536, 0.8758626289175497, -1.6074353983967076, -1.273541636421968, 0.7434947038346071, 1.5210746061257665, 0.36779526154541486, -0.3703102843408338, 1.1184660302186233, 3.1446604770845825, 2.54550756151282, -0.8288655774044622, -3.460783024087786, -2.5907078208720207, 0.18865457836934468, 1.1797221233999289, -0.41611947189607845, -1.7544882952887206, -0.7986655722089356, 0.6431143498619087, -0.15558414975358587, -2.3115836965762697, -2.202485918178343, 1.1853634088593095, 4.307389169663019, 3.7192254509504474, 0.7651225120111742, -0.5568980002838827, 0.6204031047423495, 1.2041783710511653, -0.6648107787064355, -2.5421925020648075, -1.5803576197591018, 0.6977269811325233, 0.44838199053231725, -2.510397612718027, -4.11176339774385, -2.056404132353281, 0.7258183307803245, 0.5794743371400399, -1.3693188276167214, -1.278336011711793, 1.1265498968490897, 2.103436751100277, 0.0012109208176793627, -1.9575117531262092, -0.8153230700780989, 1.3460797894546812, 0.8706719825565927, -1.287481469103558, -0.8727144328644578, 2.694352207008503, 4.9408805234116135, 3.0386315600108906, -0.02403875383917549, -0.36665440159780516, 0.9259718057116257, 0.46963053306747293, -1.0876178504986869, -0.04055319048658046, 3.576974529980801, 5.090103667961161, 2.3385511992594097, -0.6908089193217851, 0.0017657599862700487, 2.3395770969475063, 1.9548485661969421, -0.6306601096893967, -1.322094566070111, 0.38884205031499725, 0.8772450310321092, -0.7426720591794744, -0.6018108558929353, 3.0735916136197297, 5.942625103473622, 3.871966350855289, -0.47577512029123925, -1.7854755793032138, -0.14212183323305388, 0.1908110208566372, -1.5071110979082376, -1.7582360105416266, 0.018732622452266545, -0.17132446595440093, -3.6633254247417444, -5.776471512041276, -2.994777338066137, 1.1346918027800774, 1.5781763216535103, -0.4622872213480326, -0.5905951453043464, 0.7960606783132314, -0.3018618021501735, -3.5915505537836143, -4.3594117674845325, -1.5895075500515023, 0.21117484653671836, -1.0259391639468145, -1.3357461781940576, 1.902078971233483, 4.70391525593214, 2.9891719103789227, -0.4029260465868567, -0.5507784546750383, 1.4221372994328525, 1.1507237745978065, -0.7332791448056456, 0.004999783501872163, 2.910925898385377, 3.1408356141890366, 0.14554560311158454, -1.1316405933452338, 0.9042904046344302, 1.526903663223268, -1.7812351438717766, -4.516044431419616, -2.8011418953702933, 0.1322409622114992, 0.0029174779608276045, -1.257786603323823, -0.060369193146463426, 1.5709586726433338, -0.006852979140576754, -2.2741249071760277, -0.21161593467901257, 4.430410446993796, 5.264489441803699, 1.675102032551405, -0.6898794292014685, 0.22462936622552476, 0.4862246956802985, -1.3921458153710993, -1.7214041412869072, 0.4144547638624584, 0.3615690870513619, -3.483501120877377, -5.621311714811625, -2.4612962481545755, 1.3636107388631753, 0.877351978978455, -1.2847331477151736, -0.7235226075328822, 0.6769185104409212, -0.6486745713912265, -2.294369708033699, -0.3712158776436639, 2.410376421896536, 1.1314476537419678, -2.0672136607235334, -1.4375813952636363, 2.0663720947088464, 2.588380829582891, -0.10994878846919054, -0.8483413923363792, 0.9947303195020623, 0.8216659588813613, -1.7102617013244488, -1.735791275496919, 1.2552606059848657, 1.9985188548581763, -0.6043988048169606, -1.148618521916735, 2.1388143574277017, 3.867337202050878, 1.3941096031733953, -0.48121219801611526, 1.2457591003957496, 2.365195352019046, -0.021166805300117147, -1.7601582464497356, 0.25163842752907545, 2.072250972590375, 0.5899208873991701, -0.2397539232129747, 2.647152159728255, 4.630978358412379, 1.5739959317994014, -2.1262858754249074, -1.092770119137039, 1.8197513006055885, 1.5257253793012349, -0.21778646205986252, 0.29831868350156077, 0.7369610919542511, -1.9337625667423761, -3.7023887418177295, -0.05862375880324081, 4.771831292843729, 4.223792262068368, 0.369803001232445, -0.6248989206928295, 0.5437430535212995, -0.6223504256240592, -2.729149631720309, -1.693340149480831, 0.21650036810130277, -1.5471479101323866, -4.2939485064731615, -2.640051978025805, 0.9112443718380412, 0.1596428743296454, -3.2701894290209186, -3.014749976929565, 0.3775953538014746, 1.3234067718111366, -0.10229206025644101, 0.15526188631282883, 0.6037341702969903, -2.8677885323139067, -7.151651750997458, -5.909477083302349, -1.0529341111754278, 0.4597813181060405, -1.2144766088474033, -0.6563711289163138, 1.5025182254020404, 0.3401190337282153, -2.709503033357983, -2.206572628661393, 0.5621143446226343, 0.20329126027564884, -1.9452591176234302, -0.62770117205263, 2.4556883171514174, 1.812058513459094, -0.696635870861203, 0.7511035461524328, 4.321285011500955, 3.7244276465066757, 0.06757131275161378, -0.7722502217845922, 0.5852650430655606, -0.43897183346999724, -2.187878892843103, -0.37309143458735333, 2.0113882527691778, -0.3072655428947974, -4.076326832799266, -2.9543785934239564, 0.6885711880908139, 0.5793025013680794, -1.6633906995776664, -0.693070391599559, 1.69949793911588, 0.8782079239014857, -0.9047406835393242, 0.2609210021637573, 1.007005805078587, -2.4681931043216325, -5.223834450042248, -1.8329211915585577, 3.0599573668724735, 2.7495070122081984, -0.19658938943298118, -0.4666808234747208, 0.0077917524605873225, -1.8098295429373332, -2.342971722812332, 0.8431321633543406, 2.3475434127615853, -1.1812231628918426, -3.7650800306161907, -0.9751272263145477, 1.8493568781618683, 0.10730046980182371, -1.808030452041871, -0.16035561288578912, 1.075096261460987, -0.40934648596303813, -0.06259379695754258, 3.282085122091345, 3.6338449300472346, -0.398739506987668, -2.1142308291580845, 0.6227538958418768, 1.7182176826006774, -0.6481479565264887, -0.8581200480438104, 1.9910133827663115, 2.0155923953246133, -1.2777451025732711, -1.9050800580309502, 0.5083550754300105, 0.6818624167773919, -0.6096829280191262, 1.8387002808530122, 5.726555644649846, 4.454672600606076, -0.033606202958930416, -0.884200972775584, 0.6650309872707016, -1.014869761713661, -3.8438511096943566, -2.498842649455869, 0.49127174525036227, 0.2877017019237676, -0.2559996414590975, 2.46355791883302, 3.895696400343778, 0.2888410246751938, -2.589413391605755, 0.027600850756155173, 2.7009235205357114, 0.5106413845913811, -1.9083087209191028, -0.4596598175764236, 0.8793845659478752, -0.2707768659083343, 0.17696632356036598, 2.3175576757546117, 0.15781832211577734, -5.60574203663335, -6.560687984088737, -1.5085475676498297, 1.6353841252276018, 0.4467151166917752, 0.18145260687999235, 1.395433907228001, -0.09093778813118408, -2.2434367689966814, -0.07477615594203471, 3.106880761572649, 1.3756305258250874, -1.7528399103884993, -0.17035185128447702, 2.5866054807058663, 0.7877031202890439, -1.8906900558586595, -0.329634352873206, 1.723435839366306, 0.20368732354731314, -0.8888563148058393, 0.964002185474055, 0.6837919416279266, -3.1054398880926475, -3.6695852877530624, 0.6013422430884969, 2.4124075154285523, -0.3913759340012838, -1.5329173363120332, 0.24507084921385336, -0.4734623153845557, -3.055976876648338, -1.6763308322317494, 1.9664433518980937, 1.589794650470844, -1.0158716755203423, -0.4661918795572642, 0.49701945906685285, -2.4773075291309503, -4.616988951608966, -0.9954183685279783, 2.8447965410225513, 1.231901075431273, -1.2166578422504633, 0.13994848314140126, 1.3154397504111526, -0.1676340376707321, 0.18718031444805833, 2.6951273843518115, 1.2703930028773718, -3.339569149571071, -3.3450978551612667, 0.9777892267717755, 1.7015539400413995, -1.3886373317033773, -1.6604195709883898, 0.4976134846162161, 0.057886600620635775, -0.9929156125862011, 1.187177463950602, 2.4787713951138217, -0.6509769891356323, -2.192597315759424, 1.9256286430450342, 4.90416606079315, 1.9749615354020733, -0.8920326176844584, 0.37586536074456733, 0.982323518399939, -0.8939143080810013, -0.4931049975442585, 1.6879797093538644, 0.12931616795455528, -2.9223072633604312, -0.8420515118201573, 3.333616267645803, 2.1607213775316114, -1.6784645287416164, -1.389024079121155, 0.6237732156858201, -0.4054465266205252, -0.9977344052078488, 1.8077604281097566, 2.6370435391208247, -0.9101967088636728, -2.4456086138410127, -0.0011780309426899086, -0.08023157480470562, -3.5071006333057104, -3.4854879818479705, -0.16450391399643982, -0.3469309285442067, -3.0415288530989466, -1.9638366716041007, 0.821291260413023, -0.30312510434224843, -2.232629850236144, -0.2571585109323884, 1.55366314107726, -0.17459005762174576, -0.04724866485814429, 3.976004252106379, 4.493765408341888, -0.751381109449693, -3.7512853250289826, -1.491745384390676, 0.036346800878775606, -0.4181499032271865, 1.4923848219568323, 3.582809644076055, 0.8739202735165019, -2.513480239851626, -0.9113572129768882, 0.9239027764000296, -2.1832436294318174, -4.557506600722656, -1.3687591091253293, 1.418950014157179, -0.4867410163683044, -1.8940794108248384, -0.3318588193521702, -0.19604666543490262, -0.8302776114135155, 2.643006126425264, 6.388552506513614, 3.1299763276987402, -2.863162395694228, -2.9456631527360426, 0.31604885419183376, 0.32577116464822076, -0.5593483879738758, 0.9927363716151653, 0.7138785222174348, -2.7137880776757917, -2.9632059827385393, 0.41422892281610546, 0.009397917202954176, -3.9709520778431413, -3.8082036041899525, -0.1554122835115228, 0.12355785506710382, -1.2822115326017274, 1.091557321781313, 3.650377097130572, 1.5443048678851927, -0.5412956991054586, 1.3010735009710044, 1.9783433402234478, -0.3614102826182981, 0.5355762038505483, 4.79023675483419, 4.684215585986196, 0.4870611228314543, -0.1363421010117763, 2.104095237903915, 0.9855645637181217, -1.1709083251925572, 0.625986354448012, 2.2789919214253005, -0.28718575715784755, -1.7667564124090496, 0.7764576218923851, 1.3800856644683295, -1.092029415868541, 0.20091784911426433, 4.604054276240698, 3.9024088800618646, -1.0517236396112142, -2.2424056431437567, -0.20693802979432865, -0.3644659859554444, -0.7071130322610092, 1.2232293699548131, 0.10705498041299473, -5.367281830987468, -6.855525689302455, -2.1930244470574842, 0.04568701781870062, -2.354544085223845, -2.2307161713536843, 0.9955756734384479, 1.3178656756272236, -0.09813047055854272, 1.0362321653202489, 1.0739903658310455, -2.7690824894886727, -3.721953608913413, 1.1677211752472445, 3.696351254371306, 0.4898473490661893, -1.0244690902461966, 1.3433316533993434, 1.4195888158295094, -0.6154070796296758, 0.615555597931241, 2.562694279470218, 0.5866792803809979, -0.6311912571226138, 2.7389932242481856, 4.105348358256763, 0.03888395081223464, -2.115963493813121, 0.379727371181183, 0.6599550654321638, -2.193660348530568, -1.8144197605455137, 0.671476727359536, -0.4355742045964485, -2.0371240367072194, 0.5803368661099783, 2.3270066111026915, -0.6997853409028868, -2.164823159169241, 0.7197735250634589, 1.0836775830278278, -2.1921179076584094, -1.9047635475544968, 1.4444393851721875, 0.7763726370434068, -2.0597791551485534, -0.8980034478140305, 1.159939059343327, -0.39231086062544646, -1.258643509967177, 0.4565832551977264, -1.687693954735889, -7.519342444043837, -7.843211905024276, -2.2985900039902356, 0.15774932514169437, -1.1189030381223264, -0.10362740705704107, 1.487018559712934, -0.2885089199747484, -1.212192854513833, 0.8679752839356917, -0.5369119166174775, -5.92423348114393, -6.347921066434193, -1.1044220414678283, 0.9575802424927615, -0.7319667288388151, 0.3207825007128465, 2.343289741178132, 0.4614333399513726, -1.2701657851157067, 0.7525406730704334, 1.29973502155516, -0.832804038323087, 1.2129025876231454, 6.378671985625614, 5.6109168422711075, 0.015991714989146574, -1.490279833162523, 0.4081815431682921, -0.12971660837622645, -0.6997597217657269, 1.3436893507896552, 0.5954293941686006, -3.7374881858033975, -3.7223905903234926, 0.939109868950591, 1.8377909246846085, -0.7685379914590594, -0.010835000566645868, 1.8179531248688907, -0.5344450933890624, -2.2072172191654316, 1.1978158386973115, 3.3615292803478694, 0.7586395920208553, -0.5925602367499665, 0.4265170551511124, -1.5914923822207068, -4.047698727154414, -0.7208081628618436, 3.487327067485511, 1.7123686215414133, -0.8169724247214798, 1.2918972390578445, 2.4032457301601946, -0.5476733516834695, -1.417350807173841, 0.6456518283812027, -0.12435936140745313, -1.835424606928367, 0.5947567523495747, 2.2155862403032605, -1.851621797539671, -4.528220034444075, -0.9972019410858809, 1.3842821770087363, -0.9904690546099884, -1.5510856504331085, 0.8172280598021165, 0.39477817943110627, -1.277458355962969, 0.13007644952198968, 0.10502743438856259, -4.112753447182358, -4.515269699840904, 1.6940560402133973, 4.940266084421371, 1.7338853727231718, -0.2519313008300844, 0.7589531276837405], 'positive_zeros': ['0.57958352731184398347218165750', '1.5091571175279980870069250936', '2.68479686142784568330003276087', '3.46388814746632292174106869531', '4.40396197098121270513873410698', '5.5091555576200227237010633317', '5.95901430715266433585891447053', '6.73489006165753966043893974351', '7.89845701402452539762980964285', '8.63486684259417693534545930505', '9.46041523451038343412099138494', '9.81924794508188281072722331124', '10.868778911157089351564939007760', '11.85117351940084439146183886657', '12.43707383219093292104849275223', '13.266372210967373098398339880773', '13.7248418989678080244863473158', '14.595575641481880845592238590594', '15.72795656840179689080955178111', '16.123658888828689897825188610711', '16.79107179528009908065654393619', '17.70115407112282862688182230726', '18.184784076546551783844379425734', '19.269473701963454650379328072406', '19.78162704285496920115198665496', '20.488586771951808164495571667403', '21.25013507422312072074355637922', '21.97749221114327357778960090654', '22.62133552417862263204529914590', '23.21758287239495374092434586135', '24.37130701904370303843406300195', '24.77583584504255673081490150231', '25.39775411496131631546668321935', '25.94186591341990087097753840950', '27.08352485786607707587505599362', '27.49976416423133200684479799823', '28.35786872833496538641063535344', '28.99675369787265079801602044155', '29.55583972113307546048770404432', '30.071379719590955742959847022168', '31.209402292481243795129717367954', '31.90380969403340423041218589471', '32.23443069051492669876827177599', '33.121207409991299382333172223585', '33.4112905547422346820813614903', '34.58292031379918131679086058913', '35.235037293698279685508948965053', '35.74748700413003793421100536959', '36.21462871882098742491273340708', '37.3980299815612658071076659890', '37.6119930062870800803091523514', '38.28483440085691584980598063063', '39.32514700481426716442226965120', '39.77553229972372614545316332934', '40.48760654521696971046201791814', '40.93687686212032221579035431486', '41.890392596750486261811785891772', '42.38482128928394618280133279571', '42.98631433998762338009462862481', '44.03957616113003537197380591924', '44.37560938973698569391114042523', '45.00845782231228813100055757796', '45.62426230497486950574399478914', '46.26489906635451034995183018738', '47.34660234056608515829163579393', '47.76279915105016776109810065161', '48.22407570425673582491057200627', '49.001751855957385218673459492108', '49.41690886701875187890490007103', '50.482640521952521879518447729485', '51.047445703557029489281567257222', '51.68461190795935343961559055637', '52.09611564268532993873830130086', '52.8464281542879996603294969761', '53.53774590065973164696131425358', '54.19103595371376376335370706276', '54.98655411212044560332941669696', '55.46577341954844661727726577686', '56.04483409318126475102633861491', '56.749460456671737430509291948234', '57.43196754066223320695297703920', '57.944948540893508616862199737009', '58.908123279751643887204236507984', '59.20586920811345631627839093090', '59.99785363788145847029596925830', '60.59809396101962411611407471748', '61.34414717670158044271484775947', '61.61117411839652184623516246821', '62.60628975942534257442372654056', '63.22899263754826337527233699841', '64.00030008836884044220771335575', '64.30141474393414250181409012179', '64.80981926523996589909482104386', '65.6282550199504035711471741769', '66.60316675410257278303768725145', '67.0259084090610617743043035960', '67.41242201969095261248099336296', '68.36252428022520371159506982562', '68.562419592946988501276283442130', '69.58516315515832478217871282434', '70.01531451658484233907045592620', '70.89899884367050403347144322555', '71.533714301908015297592787989116', '71.83285220352143567524626453655', '72.28294412338705879030945880651', '73.53744120998523503384667747922', '73.85004685577237461592058649934', '74.460096956150409372801790584500', '75.0333891846120474794455790883', '75.85872520081404372520597687962', '76.27758798264573090823567312601', '76.93289039685076758614742711854', '77.697455614864392690632416996976', '78.053005531170356484027234082275', '79.069794224269586620238811857846', '79.5363925203833301765725838754', '79.936159318741465015218971216166', '80.66046869786292561303984909821', '81.227512919398262421563570688599', '82.11285529395750037449229991807', '82.57398867774100330251147370160', '83.2023537723888624300192286441', '83.868348086000080626282292947381', '84.33506432982164822571343033986', '84.81621134923844799493444329162', '85.72463266802790928581935952949', '86.53381907175881021499825376743', '87.03238991942052809192357492833', '87.190838386260036116837680906023', '88.05440645024417049315063578449', '88.66830800338967315389849673513', '89.449444700507367501702110527261', '90.011128323702684478195966172600', '90.64588982884540964353780817486', '91.1744897348281409688951606730', '91.570251620492985065030843218557', '92.47046610987719048665600526079', '93.06428459363393834469340595416', '93.67015344574341391684562674497', '94.16631729903701564976858341608', '94.88023043182515381114026850006', '95.55522168541182608195636248901', '96.06326348808351578461918029731', '96.40135328236263292762510429588', '97.49694013611412982568593414518', '97.965413818262602834334773674290', '98.33023616634101523847404311384', '99.30233664549047153881123712978', '99.75131336703355127562490689529', '100.05305202170007191360578220925', '100.9567947311922799387072639833', '101.56039509245648378523036939161', '102.232424030382160093119061072637', '102.87453658585364322239238870153', '103.37225546423804991309552071967', '103.72203876495381818360437787255', '104.38452036280236559410222278442', '105.40834319640559076635233027657', '106.055907452546440371436648734', '106.18788452979007202159780204028', '106.86500578107031168094048402508', '107.50585000895800182615630987456', '108.23489402105705437342989668290', '108.76497266806344632140939052397', '109.44374450838101363935314818570', '110.034254271396020593099747437500', '110.6524129665942249262227466418', '111.10970756402513322635928209419', '111.629749253717496290314318186294', '112.45850306055432554183268309757', '113.08660350451256952186881509928', '113.700299127246304143227534842', '113.99872245919269824432573216163', '114.81825589493807190757607094168', '115.48224211641741760104939805608', '116.014444615811106699291122950986', '116.34160116582733282314887936823', '117.2467172944211068872186666713', '117.92807300519891164596861262145', '118.418668121542508932361149443108', '119.02834832095260893492061325440', '119.34721621932205908011236090226', '120.08598964273356359638611578983', '120.86285561105890999642869003577', '121.42399265460712451004315455145', '122.099058681044893349671935133981', '122.51036248895499703929914824120', '122.99702396087194118011551938697', '123.69795179727920736576088387726', '124.25854216438335023056944956678', '125.15991178420805303112905232420', '125.56750214492033848252707219248', '126.10659414045800096330894378156', '126.626470643842953265785737405058', '127.198686812490494902890106977663', '127.86753822129582561042136425276', '128.595745154182057206205505367178', '129.24040636534083630992268016415', '129.62062718431099690372334271084', '130.137219099941124428526763348202', '130.86639004056040644088687053025', '131.56265977739634108296641853529', '131.86529006584119531205824547801', '132.83522791996964247749859356213', '133.0778241580572565641230437686', '133.939274605078256414524857656216', '134.33960558454047017692752569983', '135.026151964394468364910320978092', '135.598972255951189745944041385861', '135.94275673996081056974616296778', '136.834382669654757908677176449120', '137.74916222230341542860760731606', '137.852941055270648370677045888686', '138.25677674872814720108101157495', '139.123119590522554112587303865582', '139.77905142491283697144771378108', '140.14216012649715835592696665691', '141.03927980024590412617180435161', '141.50934079951121437133971302561', '142.27260481597356016112336498737', '142.43793606184551224320867270051', '142.9362471253552939637080382742', '143.896028405901990579570284726597', '144.64611822458480461316680004859', '145.06657697320734869635649400885', '145.45887084873091109771861453851', '146.0123645591238738989419471184', '146.830184424837904774103270002987', '147.1883738707281773762888333195', '148.14389584569705329078239124285', '148.45884100210699607809739726264', '148.96759094218174796643131315976', '149.84777624137637983018078956650', '150.14515361825756784186656860064', '150.8834032303021741500304194594', '151.19868024922118435695343948584', '152.23845344831311963919633721080', '152.52070930103351798125955818944', '153.23103164821193879785419382552', '153.68410387461467175003284666839', '154.34831799288892008122912171859', '154.918116776723495970349938724150', '155.48243447119357674687370600954', '155.92178933815984846175759161369', '156.80264498333925777887917763460', '157.56131464574340252480352854877', '157.69597039340027289216175993844', '158.25476722570347908187226193195', '158.75790213130720663112573700456', '159.89412318049188323090373102787', '160.01358750481182638306269938880', '160.83428751763816970977873009843', '161.509801480639816983224119874800', '161.66518365382765632517088031147', '162.29458606778693710243692725979', '163.059634747085132047372672304892', '163.79287123748576699946639110425', '164.21508341996688146839897374458', '164.879684571620575035571013568', '165.23799592774017944602698798195', '166.002827354044134673339691927927', '166.33937407241826960495893314923', '167.1901467970603382292941036502', '167.76947892225207735265191277805', '168.203336842078624452691334152926', '168.95035776784412706929537017208', '169.32115601004388049768089958482', '169.95010635232317417125574655523', '170.56726792263789567477396642644', '171.17901408754154263471387982716', '171.6728102585183365228329614818', '172.3531811107937836014794546106', '172.88684721285218401156698267316', '173.534675309134664498914376032546', '174.01084103319765836631038803444', '174.591079769751394312901851047388', '174.869251717454557443203442103131', '176.143890903157462710425871511967', '176.31081470565192528416210906829', '176.88868661051914962250838572411', '177.46426865504714009344624762032', '177.99788042552109273091763927293', '178.3973298452625332608391037157', '179.45480472005813529704713624013', '179.86247544669893223209152648829', '180.273816443509617694418381892310', '180.98532406812613573403994640367', '181.47147577473336805893054806952', '182.05220840567829834519345899976', '182.412191992002236880976674238241', '183.43858455317013029305010380153', '183.97962724692558876100477732543', '184.3490379987461354270643811548', '184.81345147828457861917546387157', '185.3609374286026498352288071077', '186.183271971040216180196435918172', '186.76906662955795689753776648704', '187.18880942291233391684052874847', '187.76476165255708860094763546564', '188.35171170078351402309899251068', '189.14810742829478502308532889403', '189.53406071775740542380793753107', '189.83183624020296283322340729081', '190.665676127248532124824605843403', '191.4007908855437951242313002471', '191.74005235204807326007893772623', '192.44698871464589201769334368351', '193.01689554306162346181485423938', '193.42126119062042548082007874683', '194.010732826413055068138813169', '194.57572767297464366277936614779', '195.384923173984467402172301949441', '195.83167518325219639515941650245', '196.447105785559976053673966227', '196.93048864583182770718293985792', '197.47992844128285087951202422710', '197.824062406109127623624223288811', '198.673013740577721248232146581488', '199.56092366289612395684860467235', '199.789059208974285367201672274048'], 'prelabel': '1-1968-1968.251-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.139353577353202, 'root_angle': -0.24873970783411764, 'root_number': '0.00791856646319466621507961238813-0.999968647661099407088637509514*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.248739707834', 'prec': 50}, 'spectral_label': 'r0-0', 'st_group': 'mu(20)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.06850800874832647012190979889-0.305578863129458882818280349000*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.579583527312', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.50915711753', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.68479686143', 'prec': 44}}
