# Stored data for newform 59.10.a.b, downloaded from the LMFDB on 05 May 2024.
{"label": "59.10.a.b", "space_label": "59.10.a", "level": 59, "weight": 10, "hecke_orbit": 2, "hecke_orbit_code": 4503599795142715, "dim": 25, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [21110941194512256765456575102976, -100848037191798801790793653682176, 44764616218441810204153861898240, -1283013763462492820927955337216, -1563993248916957884049994547200, 106708032857263443701288402944, 21529524888336199881467101184, -1611797689114248923551039488, -148717449207481642819092480, 11370949349822041307600896, 575713882530873023030784, -44551425079172418730496, -1366143979252768146048, 106380338458383796352, 2096164892716254048, -162824031802982112, -2126354616287384, 163045424517296, 1417345230044, -106167159324, -596476462, 43251396, 143459, -9999, -15, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5900, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 30.387114333668514, "level_radical": 59, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [59, 1, [2], [1]], "inner_twist_count": 1, "level_primes": [59], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 25, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[59, -1]], "trace_display": [15, 81, 1703, 16882], "traces": [25, 15, 81, 7423, 1703, 5990, 16882, 7593, 227698, 17038, 94489, 41472, 309221, 39531, 1008725, 2887675, -36043, -1346603, 932847, -5025268, 235613, -1731787, -1747188, 87564, 14196732, 4273623, 6592881, 21099627, 13182063, 40270506, 20491716, 37684841, 15727984, 47107877, 52349169, 195820409, 56189773, 67191736, 31403498, 90203660, 57151896, 250951804, 83080613, 237200901, 113457950, 139036904, 85823874, 36387896, 225021845, 252441241, 227077524, 343029307, 124600417, 343135378, -11315000, 131080793, 95960121, 19572234, 302934025, 1212736898, 811979190, -47110788, 1093221239, 1333663903, 381782134, -109428490, 232095070, -326675337, -395146192, -352003222, -55277439, -1652988929, 132989682, -874079725, -2954317522, -327507070, -814522869, -3669872822, -545015554, -5311522264, 903860957, -109368843, -3205511241, -4880027048, 780231248, -839600933, -3197959141, -2621094753, -1927173410, -6947033562, -2106515643, -5308609636, -562682096, 753865542, -2452647879, -6255393908, -1405215706, -4377004476, -211950437, 2778526227, -224002127, -8997643708, -619027410, -439563807, 2311113485, -4055325504, 446454445, -8535386170, 8229465754, -4287194382, 2399700982, -287430145, 1434811850, -6973131810, 6474451304, -6025824258, 8578152973, 181760415, 8255899481, 2059495906, 8595077740, -12406754178, 23759511223, 11343202788, 5569572189, -14614218289, 5369119239, 12909608053, -1514716902, -8276603482, 19340126416, -26225952942, 25485656047, 7050520312, 36396603619, 54043578697, 10584433416, 59300069356, 36813523674, 15687642560, 4978485692, 31294838715, 26445737223, 85347445909, 44116780699, -24949634530, 26296974234, 33449647183, 39737479837, -36717802776, 30806798788, -14754023410, 19548944367, -34957102639, 28157871848, -25040400366, 11409990256, 19015970919, 51283099185, -47124376740, 21803248212, -113580273435, -6235611290, -35162672393, 69035082846, -66565410451, 10487802745, -14197924304, 15666012626, -156010177592, 56322046510, -63560148045, -27452759437, -95772301078, 6077515575, 41818240641, 981506241, -94407535770, 8719520485, -203939847702, 51869847931, -131128487677, 8346371302, -48428789260, -5144450558, 21908686472, 21717418585, -135496992274, 12532445993, -190724847644, 21680667480, -213327969172, 32440574420, -73339987234, -2041187348, -158953539038, 53908063572, -279422462223, 84311115209, 34474542785, 45856362994, -216703714015, 75182838513, -60524275482, 51733328123, -151105539838, -18229962476, 30340927543, 39801049802, -159400243264, 20542638813, -55098725838, 78837981358, -24371480830, -36344685638, -220011747998, -8989295116, -124390467026, 64794069962, -221812438990, 90208772965, -264984782362, 73582496253, -254854359179, 172171458144, 62623860144, 55094290045, -25965526946, 108428824989, 79033249700, -188048434964, -124407750182, -25425798914, -154696130577, 134030425684, 89947170703, 162714025895, 23804725687, 33187718893, 800713203726, 366578999128, 12985138456, 324993638574, 628765763706, 488878425304, -53872763176, 300567357876, -121232227308, 358681950062, -36336980346, 218614052235, 756806460257, 247159620252, 205246640584, 56565570786, 710882306627, 201177733418, 525056139598, 322827969829, -85320144086, 303009920608, 253684851752, 154102380356, 386761883150, 582746875493, 38448907428, -80902307066, 1055322118772, 165826692481, -140773903896, 178364962582, -6883236501, -372652085458, 411944258455, -281442680423, -701281971796, 155233862183, -75899349416, -152584847428, 702417865196, -119695529862, -855563459072, -138700396303, -93043429531, -225002069645, 1018088244363, -687442030320, -627103925485, 197648539038, -430258633440, -562926680282, 1181368559558, -610743203377, 839724784070, 20635865783, -829310602419, -1327186059690, 708435405185, -646355968940, -2075216206194, 189301880755, 7094540018, -533933883032, 512333505862, -597028428486, -196448860839, -272522646355, -322113989767, -963617464276, 1523727443260, -172906193536, -3423131558490, 159194083338, 583926546482, -540306426852, 955000272493, -753194420292, -57328258490, 26386037934, -2800463600068, -1947143652391, 728334405332, -738637701294, 2252413454255, 1188637305787, -679003182240, -1482946014274, 2240892935465, -1988735635154, -1296194567684, 130173982635, -2447464021427, -144990471383, 176183828058, -2663680542550, -1947777007432, -234002121108, 601066149930, -688976190032, 1284888204714, -202976625660, -1786910728380, 435781625570, -51110922743, -2374360847912, 1551620998903, -1794421349800, -1401577514250, 1612259858209, -1385989731601, -1112250037220, 195525609879, -1830851522356, 72582992390, -81217943426, -1751442526374, -1646586532244, 2524973359615, -673618508954, -1817067605574, 385080412942, -106560469260, -2337066094749, 1701344586999, -1146503655658, -965613800168, 166771945772, -2003175627876, -2023439967297, 4302253038526, -766015317617, 1569996180704, 1901901142362, 2765549542275, -1352465865665, 5838660638490, -577962853352, 5193497945082, 191432040087, 1714879732778, 1657651445105, 3266505481314, -470126311393, 4251264415280, 1278724831556, 2006873067585, 649238042465, 2437865435106, 2312280726896, 6652950058336, 546809560476, -582542498182, -1556163596888, 5564377132294, -2951644346737, 8051950036517, -452707269470, 2985331038772, -1518501424959, 6154534815759, 8374795828, 50108855632, 432236599804, 1966099995457, 108747890259, 2623913090724, -188681382605, -3988660389662, 3123159384216, -348686212148, -2191967715329, 1853918702638, 204565288402, 2886603204580, 1126120647366, 751579362441, 1423656938360, 2430374008872, -2746931635523, 1588630841562, 4812889493713, 5404101603685, -4803459779054, 4650341252546, -793383601747, 495472515612, -938536470972, -2231318479980, 2037327131298, 623184201722, -2201912310480, -5786028721082, 4596179335144, -1566421799080, -2086089981899, 6424324643586, 1508349952384, -4016114466952, -47474512193, -3193807562106, 2646538490207, 2121277296441, -3786293440135, -7804530904518, 383815278114, -8686062609001, -2526980729984, 3667584118747, 845591910196, 4110903226481, -21345357035, -4704476091324, 2627882381658, 1332278771177, -1356481729466, -7570131952306, 4157325573028, 338637363637, -3458761752350, 706996422804, 2090073769070, -3017384114578, -3216655929666, -4857695440434, -1250530182280, -5695530548868, -1553498570893, 2433943110111, 1374513268858, -9422777681256, -7597016799712, 92007122073, -1390928751955, -19460866227692, -2360292407360, -7144516573673, 4671410555788, 3513253049246, -3824801731180, -6401924095378, 7535484971491, -3984608338879, -9929901405824, -6280251483296, 5467435074418, -7681865363992, -803281268272, -9494238222210, 6545554558116, 2958392749368, -965809392801, 10516128739828, 5391535892842, -11678489685992, -15332115237082, 6927492746668, 4808703812455, -8414379311950, 531554640181, -13856311788302, 344110946099, 4448639453876, -5067000944336, -22528388402221, 680544012348, -7147757792968, -4827278035283, 500143702634, -789306353268, 1805183871160, 2537088093620, 6848837013857, 8067759995851, 3185594194219, -7125342604484, -26660644686442, 13025424063410, -3730998036669, -5433430316420, -11052779286178, 4491706876730, -21849819397178, -8854873062841, 6203935747432, -5267950417030, 2437916218979, -1824657361532, -21623809559422, 6983741472233, -17276692669302, 2759098864978, 13429168976398, 2430595763263, -20741071810960, 4830028568345, -3568442707708, 20619771354602, 4943034235219, -6449102822202, 31834542740882, 20577415874849, 8602124819191, -22227045154229, 20748915859037, 5366056525842, -4479362724018, 20501858887926, 1326156169691, 18194519195308, 14231868190351, 6940023034975, 32806538767308, 3036488613440, -10706972957482, 24082833404744, 20287165924642, 8655958506153, -25032468547648, 4010754456313, -7279024194872, 28894462720618, -3510132368417, -190521467148, -31140616823568, 15279082200644, 4188929459531, 29316827374250, 24219478678987, 19134685707982, -209674879702, 10144764244746, 7589973695975, 13982116865338, 8382831364575, -4847885765932, 44048657875045, 27491516941562, -18923819674304, -2901416549893, 13438383317270, -8666785368127, -885930728188, 10238689439726, -24045382917854, 18218506540878, 6380080548170, -376438113881, -11277726303796, 3946923813880, 206455596718, 6467566297458, 12648424845147, 6011118795529, -5741762978152, 11627060398772, 18428156335281, 16898488854643, -10041295218072, -8454310430634, -40172682219266, 23532616281740, -3256809589473, 2289712098420, -3172646660762, 4733452795985, -354452230050, -10825437749716, 948020973854, 16109813977891, 772636165044, 21222366558378, -309461817417, 14124341890351, 2852173442134, -13030710040685, -21876573406005, 8640871311802, 1768550651884, -4856212980087, 18420717722928, -10988986856280, -22086369006333, -24794129325928, -12736931999086, 26109649176507, 6145833872614, -2702987849542, -11686859586754, -4288450265623, 4799264665646, -9792692971049, 36372332898403, -18880174885664, -9567803395192, -6575517378399, 38830893400354, -3262961507788, -25839296433760, -6775307124943, -51846765011072, 20467000382258, 39265384876810, -44488648651367, 9348123488092, 30789897619600, -13725529039006, -16736652886595, -103964768036399, 1144957323529, 29110498102765, -27796942797304, -21675821984022, -6284600736469, -10583471403500, -37111866604248, 3475174624251, 45119351938108, -13924081672706, -35731322772674, 54016315164524, -1730007766405, 1873520056952, -50288870263738, -50500349226433, 23163051821149, -8409391598881, -23964981356800, -5120132278874, 20236348638350, -3517814285728, -17952945048602, -5600361862228, 3132085971626, 1750634045794, -77742420021380, -16197689272238, 22145372279416, 5975105977532, -26877562098328, -69764391491582, 17262354211660, -50233635203196, -39120721740357, 38056167379272, 11099809481687, 41121678257495, -23988793541984, -57948578478193, 12688568001132, -17441840137504, -2315162503149, -8794438538365, -14347214653931, 619256656464, 17833081109152, -12469918212366, 523981364275, -10646504276257, -41999195436332, -43353512038265, 25967565251911, -62695238968612, -71978020779136, 51317146446353, 5042596511568, -44418664065274, -64629800385755, 502531195392, 13821422801443, -42214799122528, -35320492467923, -27517289417698, 4022930431352, -31566024005670, -66183207471454, 26928520826499, 41537206217355, -36606177114081, -20964211758288, -129926898818370, 16000974726986, 22102022882219, -53430714020323, 18888799742866, 11623165276342, 85449066684904, -32850154811731, 41324901224013, 71567296363417, -16419213832648, -12016104883717, 118511000169804, -14344932162510, 36577839386916, -54340876618882, 3340147916916, 47558501026184, 130806129490703, -36128637194313, -6736995411710, 29349469486192, -29157019768198, -33107094449428, 174218767344440, -12344526960860, 129974662690736, -87975441249173, -25841283159221, 36638620960297, 213690154364416, -32884921595950, 44058092761758, 64302080001923, 15331184653444, -17850114552334, 62718923778946, -2638918578707, 46519072307824, -51527575832208, -17165242818526, 45941140925593, 84358668843182, -36547985587568, 87620531395222, 38050558330218, -32445606804225, 3746942485781, -1051902162808, -9698276691624, 68270047514998, -29188960408931, -28446402470065, 8826710215438, 149016775373231, -69436106613524, 103397348053086, 74105092200090, -2869052134250, -57017644742383, 161302949003136, 11282999266093, 44997156908644, -7804739549719, -102243844854290, 50124775921300, 140047855664244, -35531740671468, 104146607858152, 45291592887109, -71225493069724, 10525987455296, -27548343618545, 10851357673022, 83711324994834, -59029313687197, 69835797528042, 44175138373597, 32681405177676, 11652913569006, 83522131976937, 120538971100, -27662642965502, 28910848149850, 52433815916728, -19089162640312, 38745098330924, -10626727844218, -111991617833077, 12613841758848, 46334862422422, -40063898415555, 117494696656242, 28301199130279, -64518167905113, -92684963641140, 154131870469850, -17289726270448, -71704977407698, -40299474604267, -67660054885288, 61765847644471, 25506562733256, -95653491414044, -17237988857390, 20623971577182, 479011397691, -28963791901080, -116953950981440, -8541087086853, 144159270486158, -19596526121559, -55748187706769, -16096120142244, 174435566592642, -28833171518681, 45924827386080, -3282960903144, -153026710690369, -5270317824592, -181204686361330, 11424970538640, -25977114807941, -136121580594425, 38359509092977, 397999536279, 228972177050962, -32525942081721, 15863134600074, 66465222797202, 19795859057689, -74450702802948, 52558963580758, -14583039927815, -10838827884946, -11712629839662, -2549526490140, -2138338094498, -118368631031682, -54128626813572, -117027764567770, 98539665745459, -51935012212820, -56568292063188, -34416304082282, -35830704856992, 49791777460779, -43166354308555, -9417363612676, -13576237514571, -124821412521704, 1333796130764, 43100216937910, -87490477503836, -53446880129900, -25152757395167, 37873881619864, -18356944413169, -108007212586915, -43555239531961, -245390079951534, 39292276799842, 26911186308494, -49831645363661, 42784023708081, 12223084974725, 11688216246083, -63840633580416, -214127511859586, -657577047413, -25955383366460, 6540546246621, 16669650431697, -92624725095432, 178481472484186, -112020479076518, -34222921216567, -47327076556888, -250144894517041, -54480144667816, 16732197297627, 135764543153698, 111786209229653, -109898077003106, -47530966198220, -27526302551057, -80303757475564, 22519263336537, -158058467031715, 15334562425031, -197335692772382, 13764937672806, 69910399844738, -53492680666633, -127156013779554, -99665182671250, 35539134921577, 68677810682332, -334036859398552, -10207600733330, 50285130776204, 136363824832115, 12575956481154, -183760229529055, -163874980611478, 33589812771031, 119207420214310, -32715537014946, -253834610476954, 59387365758484, -318115553774108, 2220908508578, -164188939340524, -53531131818423, -18746978723489, 2801621376386, 131227323183325, -89101332494, -55502196496212, -166524122373830, -401163967667216, 30817112928224, -202347252401344, -87794064393196, 34991000425675, 24432059428095, 4025509638339, -86168106889175, 148585351386456, 182068360994122, -128372161263438, 115987745415770, 42091970196361, 83126689127193, -176816428305094, 24598223327250, 144850040013522, 199825188649622, -342789166577346, 32160154586588, 304778318426706, 25013352730113, 254835524974865, 19495807989944, 213874151537989, 217340284639503, 350189357775088, 177666972997750, -291730071149340, 59996399661566, -46089909975428, -29923890993, 145030787043018, 231997307891878, 75414226823119, -150375754246330, 219272615916714, 90236557543172, -16622069720294, 36930347722538, 144273366268812, 436327059335880, -42109650218090, 67345974711660, -93779014213436, -42262304389610, 6193271812804, 115293031890780, -26435859296044, 254489849676852, 72526006704414, 117971321254282, -23078605940700, 71895386470641, 87757767043745, 36021730307147, 261141683251990, 239255668863099, 24834512370180, 110627032676512, -218909156171342, 138048246688381, 149468148830442, -436746042523, 42059782009240, 285928067609814, 71675201455998, 152659903489881, -15473064194503, 165147716824818, 69506515014562, 221014992432140, 21896096743800, -54172033539073, -99700977056436, 24712279377435, 63852935824278, 103037235899362, -227744561223838, 55383417151166, -35636446550984, 182911248530971, -28625975653554, -99219668046848, -23392470030833, 139607170862467, 20368473968504, 65667901546843, 48122691999327, 352704538602679, -6548079229140, 115467348178966, 200333008055498, 69358557835074, 299458232524786, 61455476415800, 218724110497035, 160888293494382, -659888130283518, 49093803366794, -266263142537918, -51280060377752, 121035179812040, 77192297121497, 204719096373756, 87123693683522, 284933264396534, -94690993464750, -283562902832000, -63067077083186, 36024966548168, 145116999340215, -83208257892771, 141340800577337, -61272677107292, -105534585032272, 319485689941526, -266285327944, -426191175847057, -119705451260228, 123932920847718, 169581930367805, -16317274674683, -8653286004708, 70355285060414, 126617657735856, -12995229894861, 87393991925602, -420415831856532, 177796691438379, -208372346276456, -188565109351213, 364106170020572, -146094826258148, 300637544403166, 241749046597887, 47917630792983, 53291636984543, -487201393310014, 245889104355, -532991596682938, 137711714710360, -153859243009569, -125045280545784, -275633348704427, -209756988369048, 328056246890482, 216065859056519, -12742313198997, -9774355541579, -334499187045704, 192723125474771, 100011378784666, -36108679908189, -220434695077650, 163312756671890, 270706223304409, -16417488138509, -565565251926814, 123566681388286, 60755790896899, -114132394221628, 2511872304796, -391880125716613, -422547109511028, -57109499366026, 319159997352533, 109094027271179, -474293657117660, 86343985521598, -213588741686944, 334952181990985, 49647294625146, -493952690781615, -133223323545252, -134890404597826, 219810899140100, 192822178927292, -11481027987579, 49672392786882, 51897401979284, 11303643856767, -491009759886558, 244419646607573, 374896546688201, -269621200387778, -259768272413312, 61541913319880, -528401527738528, -70749104830226, -171539595192528, 147566485418128, -275238495889041, -471751072978538, -144812037013369, 433169451697988, 25743259936521, -136098754827097, -286149319999488, -397776455369280, -275508088195634, -29067604828102, 185013270917308, -451298025841466, -19166048720555, -503724773180300, 755700455803668, 328609653223492, -999245308538293, -15330464112458, -659766585431596, -146006521735392, 225428153329731, -93944903265648, 70103943638573, -92707046948746, -75220949728218, -49884678965286, -177433225604128, 69406306183154, -29733274057250, -496625728032224, 298014551508473, -481482494015861, 122751855401504, 166566867177792, 62178607446936, -447025974902026, 13363184840998, -364989633306655, -1011440056656030, 332414023229137, -220736725739922, -419882534639064, -388908477351001, 172268133021614, 231533189297108, 27022380860700, -265068705091972, 76221116765912, -60892986477748, -217632914259274, 205815613736382, -14829172405705, -452851645641131, -261483092235893, 113905171131982, -37809196961049, -1134258071097372, -534036282669633, -317746652315632, -46923190108434, 100977423838763, -465639606742918, 95892834396962, 56205575477919, -631597757617424, 182503274563762, -252744414141147, -96895357984214, -1024497501200474, 525142869933750, 292008480817554, -246368555363876, 107323972491111, -175796283236211, 631495456237368, 611337359617759, 169306158400418, -144857522588904, 181639205648288, -141487609058749, 725471384052614, 145785258110453, 265793780703675, -78480463305312, 715775906462730, -368863260804030, -314456133856254, 590434953349944, -230937556879028, -535534864868022, 1105669853117126, -395648643429024, 1058070101205757, -175751156866503, 559507956628567, 184858289398660, -79293111872542, -240066654393578, 944977016594572, 738211063390855, 1149813160523421, -452448367075601, 82628544689673, 15134189597472, 288103003881176, 658046850488020, -637762759999994, 2855007777293, 941605392946880, 56356533593586, 2122491291914624, 134753847899816, 349549440290373, -888454639286184, 886877373927454, -167461613471928, -1756974155172146, 176577364391018, 580836737885297, 1021666421687822, 603831010718094, -249471228289237, 242645708977280, 492593329000711, 1468134891512618, -715864890191578, 61186075463973, -505561965415909, -170606673122658, 801153629175098, -271386292912653, -791144743421170, 1471321271471993, -312755389233168, 293470806937578, 912805727991081, -513692112151840, -963389551041896, 1184696629609508, 174215571955788, 247733881387118, -43017430005174, -172840613386862, -271855272284694, 975230304856204, -558697115842889, 1029646119053003, 385087356120290, -446092778321688, -613611656385802, 1240440839397208, -55416208341223, -806552846179598, -3938045316067, 565977465934634, 5671913920983, -496105964265172, 405566498714724, 778225215087784, 848773736702549, 703815263435780, -920496023062484, -527642293814116, -660414764020774, 1656725751633407, 303770179038662, -20984688254107, -403108796017661, 1756556722157249, 248926343883253, 508102803737776, 647125014646810, -180334387167326, -283141611621838, 110386878394418, -515477015387873, -1152733501991280, -105492794933517, 714156701976752, 114905700982984, 1334375506417385, -390139079659723, -1012415963875246, 529998706640949, -409242962699130, -536800275696114, -578114254754232, 329253028261704, 240687236808692, 265440648335644, -422543557917232, 256685729063050, 637460439606066, -901691754058418, 650347430464434, 449008935944441, -1096694103327503, -614414493472074, 410090317862070, 296550201945045, 1569023202083195, -463038714915764, 435659389079172, -18180844052762, -565581350219974, -417218102839092, 267402475071012, -99110882521786, -790621184825104, 435103081495451, 317686000237498, -548436364157305, -629953917555660, 433489633891386, -84284817523274, 415005601685705, 22382033221290, -639852251795164, 277627524761258, 1003039797841236, 785354164544690, -1164882903448836, 255516905753304, 655813173951255, 281328720650728, -21171307730868, -680001928306750, 824719252114406, 344948781634634, -784258651527991, 881489328779718, -54319110091936, 264908612898316, -1941063622649412, 270780092671359, 194548468231274, -1133544757426100, 193994908082682, -428501684751934, 201547462926652, -38652753167679, -978493904388498, 231230932338510, 55538820950598, 440686279072337, -1342353101319223, -1037962261407560, -144732468538326, -1173907663843756, 436196492353705, 724661659051649, 302404703812862, 288346459366873, -580152012355523, -1506007485814495, 653232264225246, -77686314062568, -70327942196956, -483730752163282, -72046896716538, -1500042695838858, -445408075549619, 695968747758817, -577552445394240, 1467318198492955, -562182570851666, 634375961890968, -168694025512190, 714053476418677, -955383479711780, -1308141612232819, -898486927661016, 202020515929984, -1131148346453573, -503663884609984, 477084289315874, -479087430280649, -649456671485812, 1493177101554916, 136068704327809, -2114776109707550, -1600022959606164, -912711489577791, 737929221092194, 1061044598604, 155542523817258, 827511098904816, -641926864341098, -933203817280502, 341777047299892, 876076371581229, 16711246537837, -1233326645315078, -2415784442092628, -696964088115296, -553360120054863, -34075009466690, 817863603676963, -1225276771964538, 364974414854355, 44145772073185, -526395681528577, -1538402083788934, 892575611259483, -122003585198211, -251463632133208, -1877778459121714, -343706049910380, -1502552924752222, 574749866443412, 804574194536726, 241391169604354, -1397214009424579, -719023796387497, 574988338084600, 775321017570848, 401881732412522, 54432807298828, 554596051829168, -740616431330119, -459875822835670, 91429996584441, 251919511930049, -514234335350530, -997377300342629, -947216893609880, -1917317283799957, 717869465663447, -191846501603648, -1548216518444155, -866924107047243, -707524589850942, -987660662357236, -759450849737497, 1518962285618940, -971089567853922, -1220399737161032, -1093620752614396, -846472248821056, 228453210963074, -459650409929148, -5782167681881, -350566938478660, 172026926664252, -2356021073560763, 461062457528815, 1240901810917237, 1402795544598634, -542479111556978, 136700836155588, -56477946781940, -949949695434390, -658317168972462, 826230252329870, -1585754888683106, 156521052606785, 893003754033624, -723398917218652, 323019202678750, 1895727600584430, 641192166182294, -34914034625120, 1038327675570173, 970582136735512, 1394771319165225, -861116117813039, -2015664358944602, 692121310118086, 1873918952779150, 1708997472238377, -60605488201244, 345928695647010, 1113038655045778, -1055736415395586, 3073734467180470, 1891733508227329, 938244831345080, 1151994997006466, -3376429596574324, 2149108276291803, 1660844930525674, -247960511277358, 996330953745642, 295161383316778, -574969669267340, -278609623730121, 1170874954734536, 1525405818295680, 447010406265034, 87674959027309, -1534505492737346, -417375457033641, 931675994825230, 1898730740607800, 80302644342318, 2755213012241316, -614600806098542, -116160990666674, -3096894238510518, 110768379183355, 564738703320427, -427270014811518, 51785032668903, 723071823893943, 3324450782632116, 454700856387735, 1233947994022372, 2577674414472491, -3084463899501278, 677474146066968, 214003202719652, 909482108159000, 1119626287083949, -2204082955702464, -1289622604906318, 1961296569070483, 319114179012299, 1108322835052771, 69732120065516, 1826508298909212, -1761527928417326, -582149926223278, 622045445987386, 2164057151916921, 2846277644290124, -1416689099454551, -706088617436102, 1490917209116805, 4676934954014488, 59226035110707, 1660466022873001, 1484441744560630, -561348135741432, 1089066728200806, 196132727878914, 451949661753044, -1123374666812478, 17053487798071, -1937114938650320, 2425579061937593, -2698533189552244, -576697029750792, -439856875494476, 368790482187983, 1403287134075364, -1489016063642280, 2703189279525816, 519677176333323, -1045849155259052, 1440466442640112, -2575078434472880, 699306195245834, 6836757980705729, -477551179616482, -154168900013986, 1876334338187153, -3537670629580562, -397337137483353, -353195267714136, 1901631724274853, 2567591902101586, 79888319107041, -3161192109335035, 487619320055342, 2134839548713630, 1936621561554079, 1757689086469270, -867343899432694, 1182513831238535, -775620116638472, 777616846635858, 202523096235521, 1023313087909886, -762667608135273, -574815434753254, -159240256764120, -1359884124864424, 428232905251402, 960687356848512, 456460389940969, -2592236514145068, -102751521427561, 328916787618314, 1123044987057066, -472433757141699, -1272843283956016, 663785251821802, 2311950174790606, -660061449111452, 908187879591423, -1866561476119037, 747946403693342, -492556180270754, 510365816301324, 757201050643172, 1720904111901108, 555047326233123, 2517233034398924, 583326291668006, -139503213441068, -1127716940641114, -1306161421800324, 86385699377732, 1813536577052118, -1170870208455750, 780775761641526, -2405840055663397, 775451239456261, -2152140903994652, -1523500174243728, -3051277328528789, 1454582737598416, -1489421251476708, 300624672817364, 936164597733166, -541619746476410, -3336857599147922, -667651056270702, -739539213726530, -192363567767520, 255671797324347, 688175433419229, 308027749518146, 2049072670925481, 1691744269657512, -86842588996361, -850327859415138, 1740028468721547, -859550858573642, -1334644230575458, -960098032558518, -163478318852684, -1523577855184447, -2317591379979026, -4940751650084306, 56973635981111, 1130122879155256, 1654812039946021, 1383197357530480, 885536836792225, -2515497893181968, -311065338449723, 3418645717595120, -327551805292656, -1407973099765101, 34970421643726, -1931248783461738, -955156432430800, 3632137966984046, 1036262338168415, 1153513201283581, 1152301959975893, 775778937217087, -1479937829396472, -173555073233172, -1208458899755448, 6367512360710011, -967694811472796, -4861901240023452, -320780574571654, -5503861745816830, -399918259479164, -216270231931268, 2403077294748008, 874912322547514, -745496089330899, 1210594626957206, -1202384506507287, -2707374934754671, -26302365631766, 1474279067330768, -1487373148478500, 1342997088773226, -1280408683979664, -1568058182253986, -2279130416705308, -3304745319818662, 1901417130988871, -3107720040454074, 159731816095743, -1493195993411072, 124829736751054, -2276332664546666, 1388850170609907, 2431206745759166, -1778900593575077, 4040842921681028, -1513010308660958, -5355276125028766, -1837131996841494, -3849469666132854, -549833668874539, -89450336530932, -1123012696038896, -3415926351664934, -37232986148194, -3422027663108134, -858191354810108, 173648912762802, -1684973533998891, 2969933952459655, 2149946027769981, -1278906795304106, -245479667055104, 229501497070412, 1057898612998307, -1501276125549641, 339721322907250, 2087435990022606, 566749700601188, 631098177778412, 1025386184160338, 1273095465680122, -1445943713020914, -3720123524457574, 2698935226783216, -252952195780892, -1027427670137462, -6004220922254272, -959327248265990, -5264360387509080, 1159872102171956, 620274003963712, -419691951616280, -2101772075900889, -1232034361584005, 1017741985929658, -1936404852646680, -218284739189914, 186106157689352, -4872395495700060, -12087442240643, -2874417732113802, 1237218783341440, -4310318188885534, -1965867671388320, -312031402742805, -2184081447842286, 487972258854666, -1652529003063164, 3188565229278339, 3010336992782530, 555363562755110, -689471082410897, -10745145846826558, -1629728007656378, -33470856625428, -915269668724557, -4194489228785252, 217018733168355, -6223370834996003, -29142946636646, -8276564493983505, -4521456890959758, 1740131892896436, -997204059941358, -1178438473922342, 2879146287662497, 2666514682108446, 2290056272961378, 607902464374191, -795386343718874, 3433282410041968, 1820677267835447, 4095403342588257, -113116970222757, -2853311970686308, 55909937606342, 12050991458805449, -1148976914342246, 269640647776606, -84654509941728, -4976767283648511, 341044515005934, 8101576266045142, 2926215282289150, 1669717761699644, -1884559611782386, -2987671285530706, -3940178575216653, 8983267465892344, 2378142872967636, 4313834899989644, -1313561296452111, -38575647278297, -2190690476034892, -6187895656999799, -1482032763178000, 4649409946103170, 1785457298103245, 3583368607155775, 648209256797495, -1579603054848534, -2480045264624648, -1384282945376175, 124605907921446, -1485721670775434, 248305520281476, 3273551456221056, 1542548232734554, 7149133905084891, -2523854334268916, 84004274352148, -156319623922556, 6544080091554860, -1052770964464634, 1328063967681470, -4736173315027352, -2222611599821060, -2845537000497370, 13325553250075090, -1997555613168470, 3498453420625282, 4370250288566380, -1113319696710805, -3378806695190636, 8402621105576966, 2091539972112232, 11087238170819013, -492431723087307, -5750649547423354, 1641802233565890, 4632125933959630, 3180774790427953, -935940252769030, -2045231926362101, 1968164788498308, 1645368027876462, 505502737426752, 2146899075138061, 2692791700562300, 2276728138869100, -7099591659581068, 4410940251115286, 9334515751139248, -2815578159035486, 3273728564636711, 135415455096918, -960165668402786, -903500995562448, 7114810431987531, 737916017350020, -737289213377836, -1433966642799557, -3271308061530508, -187148198292479, 7377029335768260, 1853155943497140, -4629875331788816, -819550337047384, -223214491830462, -2036495233602671, -1000513888094860, -236492673239024, 4153703948941452, -1803981325890322, 456640822624601, -3801199578238881, 6448697014355482, 3736794050928408, 3956601383899459, 2915799664658850, -4867251394304144, 2280015428715995, -8135358197045824, -894632102276608, 3879225892636958, -3819822358736497, -3578201261992024, 2344112722848571, -2598962678631024, -1240511698120445, 1520329254555159, 1207709799482091, -3227000704130137, 2419181496487198, 6229558541660552, 4674058477179972, 6167793914725740, -8440357460026732, 3364380876135470, 3292869448303482, 8479810820946876, -1774944282545034, 2852986530530408, 1974715865656904, -535797366409539, -202511381875418, 6149526013423314, -1556018772028412, 4988260938061703, -6165742119161566, 7905065852200457, 6499289716746623, -581499975018266, 264231399542666, -959019582206425, 2326677793597805, 1171956855333578, 241590770294387, 1120954200041524, 2325220658688385, -1173965265476626, -4223738464906258, -8171669971032936, -7444922683547415, 6150524345598148, -2816608371434407, 13375452947888736, -3886763250879897, -1242512686265476, -4073153706586266, -7519733318436202, -3496270600365638, -6187534443582078, 190581659930224, -1344702053443895, 3413633300604841, 6739242852208886, -99901158750019, 3011742160973454, -1936916347971956, 5752821396793116, -4789568606775376, 1933140531456312, -419506269275968, 548751232878738, -8550003729464843, 7735886551181408, -5330150088044792, -1429129697239314, 1581778038656034, -736686197593492, 1942997966555064, 2115899034744670, -1811421067780098, 19575289572426860, -1657623476826579, -552210964481950, -1771781134961390, 2414094992907212, 4842978933355525, -5548979940217584, 543179287978397, -45140887676308, 4647786527460762, -3142711816728784, -455541669592249, -10551843732716750, 2557817889257207, 416103198088228, 4133044030077485, 5271863249531756, -3178112082970670, -7122948584581474, -1802590630854268, -1558876748449547, 9349771312996317, -2437027864004718, -1713141363935666, 2805538095791474, 1875591928936565, 1364818751974084, -11678569037774237, 203300765679952, 2964541824404693, -1256132080500032, 3084391991754322, -9216348896096410, -9350695341681552, -3445499466966141, -2039079936940277, 2045074887482934, -1048402598224184, 570823151552597, -3190560896063467, 2388108677502592, -795455693650902, 9666511145215284, -19457027842545, -541083459175858, 9859064802597552, -9947437316758630, -910729506310200, -14827764430650297, -1571366209174986, -7783448969772822, 1974525195260958, -2125401048806506, -1586182307485586, 3269190280538032, 374674392213203, -3037970020228408, -4516890560922136, -2178462933689013, 991524446416523, 838153203081554, -4255950269427417, 3058564179948628, 3990765200898642, 1359024463937950, -360783978640331, 835969978003812, -4201982683073942, -2923302406328394, -2637088320430778, 2073057439593272, -7047890110217608, 8669699630375664, -1485330613927830, 6479857094561453, 5902311690702227, -3055660364129434, 1502026421923776, 229466095161808, -2979083114738728, 9841001462522021, -6906354015213680, -2440466856822215, -6394039778090175, 7782797136721762, 1098154412834196, -10043499993200343, -2520620874474617, 153398971355637, -9241706280800154, 8399905238462034, -114219271301860, -4037043240077376, -4593753399179189, -10431440644798403, 797879047036944, -23583200111406874, 634333778823009, 4375030568136424, -1791622049536472, 7524306290456938, 2640678603493449, 9260620866420356, -6706698325819022, -2350108474922511, 434814867349474, -4323841975536666, -6734304994126323, -6250529941112214, -4583674592833688, 6194150653196827, -14498860513598138, -6237500429721666, -9468795062516588, 7230957106998352, -2221902233467201, 1692288727300766, 2642943561928048, 6315808044904161, 3422414847639310, -17830395074342524, 2612302094974834, 5469437929652332, -3378720008869432, -11552225453098276, 5459898379764188, 2418642973135390, 2609085190506078, 3157085489722424, -5701109514711118, -7128602112820179, -4778251480050098, -10841042338405854, 12541662112328706, 7879378931443122, -2349194103988450, -990893427355553, -6163776536042358, -13327745080870117, 2318101086704286, 1662813043395308, 5868890214598068, -3822892023136642, -1092084188074750, -14128682127134590, -6052364451176282, -2420808774650130, 3858264396589724, -7537994269854257, 4277164990106998, -3130169379220552, -6752044662893202, -12726612584868562, -15418744802363188, 2732275894668605, -8360526379745367, 2372826587020649, 3444904154319866, -310471921092454, -658828008266857, 2650934344672974, 6096338004313107, -5481781403896372, 5651878109152450, -5634148947914649, 7339134224830483, -5232995111272442, -2952966546725674, -16174147550413156, 6605729802790120, 298068706759316, -5998775258505992, 411860443668990, 556641785136197, -6555155731786151, 5317383664071235, -5145690486066356, 14333234751792076, 2820718751664160, -10229280357822616, 10161192357979998, 13510006872130689, 18340612707607181, -9180340359978074, 10623490074942909, 1959709530842121, -1612957187136036, 1017491601963132, -3930042050133374, 1502790925854798, 2807586626211583, -5990038965709330, 32183026686774534, 10754027057264410, -14920899969962424, 1395610445987660, 8605013278431299, 439392136308091, 370684944467028, 8434995849423960, 8157731356959543, 2852200618068069, 4963297193565132, -4517387300775780, -31759696109509642, 11358708930206857, 9273923603133756, -9426393123201696, 8565832393228877, 802971342576114, 1253424519553622, -4787130545656597, -12639108279042304, 5720958574102454, -3376659018350580, 680871763949053, -9107814616299546, 16062877657504720, -690113263380345, 10842702904942651, 17667260053198846, -5628554044720510, 8075715487242712, -3759622302142948, -152399607475481, -5729483250720838, -3572058069701894, -3619210847419282, 11533167585337306, 689300885000293, -5999629132562362, -4209513784874430, 10963080412517745, -2364282660085900, 2065121309205732, 5251502086240308, 15689410736964742, 15460427079264350, -2581592586795751, -4582445458004074, 27123437736215860, 17899302803368597, -10385713177579146, -7235026210418572, 711740446056745, 14108638206532246, -9027963541141156, 6220415192085750, -12961494252855228, -579100787817806, -4287412669081302, 8976908713016182, 34965800883040928, 3174743176181045, 2497924903334537, 4593918591322116, -3365232310517830, 3411257525352072, -1343569051425960, 2393036979653668, 2715884006637510, 12969693946707368, 9516260972301064, -13083761471926480, -19425049135598084, 17984318635876758, -6628580884141710, 7083279985510562, 1570720276186145, 3099278418081188, -13255468181711090, -1051159142262072, 6343953859666644, -2300903589279016, 814186521328696, -1827970391395317, 18951414411947998, 18460925632475245, -9632048600426953, 431076547766041, -4535146449998497, 8481728045291807, -22275177149868438, 2008190711612298, -7600019152668336, 3044140706287802, -6391122532552020, 13369681536024180, -26205604265634216, -1401150680877538, 14067888638772676, -559790756209488, -4981078577329464, 2354105718517958, 4076916736043536, 9786908747580128, 523730804985349, -8936679383837214, -2416423448862966, 818994359115339, 27077167577071691, 13528414820228879, -5844495454679150, -2807065874921209, 18006326150480983, 6320679795035172, -3156824858623394, 476692880436691, 7308418729743864, -9671847157537820, 26202585918356016, 3379169089002964, -18257527196710558, -1104481138996480, -5226023855231206, 3713935785191123, 3636106809486712, 20411262979813560, -2585432931462292, 654755855637523, -3881066779047965, -2933081968371714, -17223709532785550, -6922924475441557, 16499585686901440, 8342561135207266, -2893242033025212, -11266911249791470, 2246334395312185, -13753685211861012, -15469890386372234, 7914858996759043, -7975716609281528, 380527521928778, -6055441298354590, 10560259452335956, 25735471586553485, 6682458458371042, 3979291333628130, -13169974662657846, 19848360477664475, -7223225546510017, -21488725438788092, -3149706085778408, -15180636493740070, 4165727471535419, 12401476494421782, -12156972255010852, -14021025675261880, 6272393596507683, 4551475590733920, -6109026854052086, 15863644085877718, 5176281166867979, 22278127797222692, 3133551870577596, -18271117712196447, 15683657360455728, 4442038677873943, 2820514969108225, -7456076706145568, 9053881024833879, 13138551714511532, 2241472402292265, 5303395984207700, 7583717079911085, -5189098747822790, 2591390003747852, -27355920504252638, 2707304497568519, 14243823740048020, -3903310008972649, -10409673542166698, -1743676520782465, -18071295617600203, 1048076880794206, 2318522924013338, 1427301000091362, -4002655792154848, -3535428039392261, -1557431290647813, -2781581086000733, 2973912112016494, 1317268053118244, -22778538161164440, 17246152867324160, -11987883041147438, -2255974184034652, -11795121210282664, -4046090723308750, 8747766485246168, -8592706465019402, 1093030311741260, -17824035974275044, 10132179728867940, 11533066326150950, -8387712053153744, 6435250325566694, -17095939332224874, 4551866913672561, -12946643219203341, -4219421952940000, -7203425116260692, -4167477228658726, -17703488634863376, 22477299436282344, -5986977737174800, -8041996276518905, 7709608292170596, 3660945245963984, -16755255487391358, 670916570228252, -3987685198641674, 13838543955371815, -3292522332322444, -6546449644734990, 7281633606773301, 12249944308597098, 10973343130056302, -10832912133414036, 18262250887852262, 5648189786174028, 12314909887365880, 5380641782545964, 4478168841497328, 1554393961401314, -6473694642928860, -8217447736435288, 2221870366414565, 12801253100038612, -8451147875591330, -1113846769112410, -43919778267286590, -1332108962800535, 12929509817555036, 3538326366779710, 13482854630704166, -10697503365625382, -23550920519864084, -8282003851323472, -26794353466030259, -10672173155181048, 20600232818254614, -2125348115236903, 19071838371927956, 5532234862079577, -22714527671481735, -20955128736487216, -6185351265538010, -9926834766511859, -3077460233716736, 692530155666456, -8808685028232698, 11905291042509117, 12304515413537567, 8156683951968874, 7213017784185586, -12882770545647112, 2308948397587633, -16137617411236068, -20667440019611067, 1694024781568204, -17633484860825224, -12977721840061623, 4562142964183666, -19584644947713198, -6079656027771798, -5883833580968531, -11317819423022694, 3239035054444673, 9127875733864412, 575404577032201, 21989188272473556, -12881598596152198, -20821693905259218, 422528068120873, 16301228996443254, 16603167314929108, -3448122046225666, 4241988932988936, -1091153593684209, 853836029630564, -18431484125991986, 595292529750860, 6526200716878647, 16392855578645129, -17352959084744308, 4145491770166975, 214551873245246, -23554337706931900, -6795684473695380, -5526501008686249, -25955480944296910, 13541456752959176, -6757130687756086, 9699206356550644, -18490623849565493, 102109472080786, -30041034649749261, -13105620449987866, -6985660590594109, 28787321942341522, -21489856225071564, -151120753425650, 1609928454628536, -11675000766663778, -16912999774009306, -7317418538026727, 8666363605501602, -9653131357817959, 3040873602669244, -2731267203469604, 15985654889051640, 17553786957207748, 7992092140139442, 6016229803616822, -46175729392321508, 16259027002663006, -21425189869694532, -18585021162632017, -20527554818072233, -16220983147407168, -29292574202286920, -3240295447377000, -16318039003430422, 13174386714559042, 1342992665684608, -415486646036099, -30280362370437190, -9475458396486001, -4485663632464808, 5624999589677684, 33630297659824119, -7941505863129920, -15526931622305144, 11274378120967288, 11632463661952314, -15303455733908803, 14031910102189307, 591526774033152, 10899890677403128, 15909858083581043, 24706267936593732, -3607173792614052, 2805966393191638, -24445057020507088, 47892416497759222, 2421560058656346, -14525517666004923, 5651995132546714, -8155190475866962, 948931065938061, 28914008583132930, 4875512083251642, 7954765490992970, 1690570447362122, -5976985276949129, 4708471888365573, -27833200963261430, -10143179077813273, 55764958405897291, -14729319082412123, 25671146863572208, -5545090150515966, -34745640664376902, -16699167930310361, -18674992771254470, 15327974249646619, -7275861892551736, 1006717779822293, -2348264284250420, 3975929078375895, 28640220220743194, 17069305353660563, 35204609296715892, -12400902066442106, 51557188685135138, -13735257280751704, -9056285163745752, -16083310784726939, -14914508690093066, 14152395890136506, 14225567859431468, -11339823460299420, -8293041627117436, -4046453021830432, -95651710694807, -2313847070015222, 16043939056383497, -6273258099295719, 28025934658097010, 18358249108572911, -21106663073683036, -11114597557449168, 21039035456508680, 25870470900560128, 5790456953020626, 12105752560965089, 11571044644185319, 1559101847814402, 34842337151533802, 5127333030539020, 13867813255830706, 8078386629618538, -17664299722582844, 29129247114641804, 33432919302022483, -11524649641073822, -9537101581508276, -17947820083079116, -5536537734499758, 1996657038648032, 45399634536864804, 9754313605972978, -11897342252214537, -9554790340791873, 3396656358241960, -35900033623888532, 11730979835411276, 17177577101200848, -1522471629375302, 17954292447399298, 14397946610442558, -7037480826889270, -57174732688755939, -11275907546574962, 15796064121544022, -2531482411379934, 2874248946942261, -6615112042483080, 52095610387125240, 7533674843460744, 57213450999306723, -1592661460132431, -1834623791256804, 14256727539054717, -35619041170926456, -7098065244457358, -14854278920010875, -913001390898196, -1786057604045198, -3011005637560972, -3173201607474616, -12166186736604644, 13927247855673820, 17783606078017000, -15442016878362780, 3676059377739423, -25122065347131288, -5078090652310599, 38557094189554695, -578163524455906, -25829855647807140, 19931064142841953, 49196406695908856, -16467598674207698, 9854835186061407, -19500891650620317, 13731298061652279, 7313749925814141, 68713026973253522, 5182188682822322, 14860133344657602, -26975379665755065, 37509094667316434, 19076151964303666, -31519585247740272, 1628230202908400, -16216386596251856, -18472000711553828, -12513947283231125, 8177217633480396, 65738996726167780, -17148871396566980, -3564250573275184, 467376389862680, -22423546322871916, 11196259240554391, 77376678287233570, -14081007657463719, 15112924942035666, -6357423255513069, -8275551865460818, -19358943522772185, -29351139218834726, 3143040204618663, 19862921140298527, 1374810938469950, -20836106484906241, 11460549844772190, 30440597048834426, 8494753657433251, 20897086007583130, -385336585180770, 16212403041180031, 623702734852778, -40458046525767143, -28655588837974526, -38415890033372788, -14475602517309487, 18895032466550196, 8159698381836334, 19117110853391976, -5529184368409834, 8110238651135062, -34267373912325250, 6816665501023814, -2679818633680818, 42152531446022110, 9209665128379972, -19761509272580218, 1658193738890144, 16658945511220360, 13433558314573189, 11915417687187693, 2725232761034616, 4417387653011426, 7790483879115048, 11654807634553531, -2294903050066970, 26438876981206568, -734418816259754, -21211433567642354, 7175443849965460, 30024045345142594, -9959857114759767, 2829916845308056, -27848733136069568, -381015555888242, -17289802925886904, 23227504907179382, 16355190164943127, -64103172251943056, 7165426185256178, 602041528143085, -9346644713430894, -13168188855148270, 19428398264056498, -39597937012220330, 3664163661879731, 23504126821965752, 8866652582939231, -28584823855594782, -11987699752320414, 46297017869209224, -25385510143522968, 1684760358090344, -12103306727505607, 21992308083246298, 34929186381847108, 22709886942060390, 7457705604139405, -47039022449486682, 2437870451991293, -26126749263864183, -3740807646283858, 17660423509052026, -5779445000227956, 9607213710727876, -2599160510233838, -41300153585861836, -24922355883244817, 11020431677071556, 4884593276230503, -34623893330204941, 22457363650507549, -8002742673031632, 17912918389476104, 17880211492170404, -49583348864606308, 12614020592766042, 24775399848526202, 47034586847385132, 9385426271417993, 13824939820127148, -12221333839015989, 18526515087125775, 18579839407775244, 20006591940663940, 3135893229206262, -749110979857198, -16135706580520962, 16426097280052452, 20293377381155632, -13412248878623153, -10774234791218464, -9829034364863741, -22000444141066215, -13773432576476120, 9644087169783724, 4384082079752344, -12805195762715112, -38978687736581396, -27788008218153912, -20251488933384073, -9625064736746282, 46105277062117301, -14403793113312557, -6407168352711900, 2890116780648084, -8111462100461337, -53367773343705690, -31035765625935956, 13829060620558894, 9431816978217297, 1039958863676514, -39191642755314964, 32870178903202030, 37157874860565784, -15602422779653575, 29892047448847172, -31341129443171264, 46464017521086164, -21532022406952952, -8296104951081298, -1876499108515264, -35615092268280514, -40838947621031803, 13088490979645702, -27092056447626938, -10974975781148041, 25847337555459245, 46291344946025512, -14238427954688894, -6969506462466959, -23357735954769730, 20863617148226264, 6561291690525678, -60828182849050820, -7189753270088, 31129368080980626, 41940201073721049, -27796662584260301, -10028534497880116, -6210309583200010, -9116255490562429, 16612351951692329, 9522386953330048, 6010089811724824, 10952681778598310, -62761589626720056, 388383215865960, 24527327007628272, -24799523228043544, -8566248038338988, -7086294719170518, -18871083416484612, -5524953451914412, 21030034403617569, -12244294104513844, -22891918978302424, -12641133717510740, 13094741616274860, -33504474673866204, -730283101106905, 39107723188584228, -37777632268998154, -3392755481525162, 6212999035297250, -18604967941870435, -51730515950479947, 2211359037667352, 27274598008134414, 3824001767061126, 440925271862456, -48426467441248618, 29964673960039650, 26206697358041573, 8368492509897434, -8923482928972502, -29920820553750474, 1655590197035382, -71319171640630406, -41077827690727327, -8141143359793574, -13569316784709824, -23310230184608485, 1943306988013896, -24996273919350508, -5031172251673788, -15397168967987778, 1975105579373281, -5448937996636022, 91886938832975, 21560234764032688, 20854028286834354, -2501669240643861, -26153144844904386, -29038201766681642, 1389846234035458, 25139466229023475, -13925725372180084, -701199863672546, 11399917179901807, -27999061754529408, 654917458466570, 4881177042798111, -30580076658993526, 27101727548979786, -21645181679627540, 33876773516672814, 19122551950121278, -37367299260641578, 19238276957378200, -35029884592156045, -23477658170600500, -32636630066911594, 11376407556939664, -1280639096372134, -29106658999418189, -11864947155555136, 4487670604054916, -90047328558137650, -25395794842594676, 16708659461960884, -14204315552354919, 3432933773185550, 7270612714205961, -46196535829146494, -46911098311791262, -14488728568841609, -20957174698159457, 473504157144810, 2726670928751045, -49156695869022780, 9981968391158289, 30628836736274738, 9174809467508871, 36633643957002506, -18585012496775960, 15072223726903952, -19149882645098835, -52404840333240724, 15212782168340616, -25629330293777630, -6283273024093752, 47036389881710890, -52423874487698742, 13720160778809755, 15096115123958860, -1297577498293571, -6576894691168992, 8849272481886368, 2879377485625769, 49076885466861141, 14390638097312375, -40714090073364680, 15527579125374546, 71055849876448079, 14957573453992226, -595510622273743, 24756697020789852, -8068680438160504, 3321543964362552, 50297422973023312, 3574320813518107, -297463321856235, 47804873181469187, -32318669185847276, 35243573132340232, 67273977439777652, -38964719674775210, 10709116911354640, -2100410480059854, -3390559446795830, 25477331351906891, 37716493798219600, 21667317585046184, -28597951562930712, -4058422400636776, -21568753322881476, -17081835043009607, -34639585634437568, 42852903686971177, 18676400144545656, 35372725572428102, -17302451477816788, -28193188151562376, -64870033240645842, -19633881133574239, 26034204201672852, 17000924012161338, 3058921648485001, 30560496414626407, 126343834786004235, -10337013393357108, -12215092661189635, 80512087411335330, -21079718861947367, 23665690716724553, -46998737085122388, -17072579641214401, -17584079622509214, -63176288116193194, 9523072243009260, 33769353376583916, -28025384922043260, 17563576951289335, -17255648308932008, 60483138150276656, -34661767593100834, 14367987397372789, -41729598000402928, 24400411234792419, -12090407079514072, -26868187314525370, -8350527729169612, 68840472217647837, 122571212371045320, -28775449226174063, 12206527812856724, 28729701868730550, -4017213877253366, 1693957335917121, 29729625618191090, -11476650576276596, 67573604636830566, -41325648344293079, 25865954525168918, 47235437052170272, -93296345855390127, 2583061330333414, -20647172021027320, 32912099267393483, 2200838658817391, -9251724336207696, -9001420666085486, -30897458813299433, 36449765703225736, 39076274620349401, -34886641977498028, -10935786715857312, 159697153355425734], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "59.10.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}