# Stored data for newform 45.14.a.g, downloaded from the LMFDB on 16 February 2026.
{"Nk2": 8820, "analytic_conductor": 48.253918028360715, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [45, 1, [11, 37], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 5170756084326145, "field_disc_factorization": [[5, 1], [2511389, 1], [411784561, 1]], "field_poly": [52534656, -86616, -24774, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [51792000, -284600, -24690, 15, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597999104045, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 81000, "hecke_ring_index_factorization": [[2, 3], [3, 4], [5, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "45.14.a.g", "level": 45, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "45.14.a.g", "prim_orbit_index": 1, "qexp_display": "q+(-4+\\beta _{1})q^{2}+(4210-2\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "13.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "45.14.a", "trace_display": [-15, 0, 62500, 343040], "trace_hash": 2022053657915147390, "trace_moments": [{"__RealLiteral__": 0, "data": "0.033", "prec": 17}, {"__RealLiteral__": 0, "data": "3.797", "prec": 17}, {"__RealLiteral__": 0, "data": "0.680", "prec": 17}, {"__RealLiteral__": 0, "data": "39.079", "prec": 20}, {"__RealLiteral__": 0, "data": "8.386", "prec": 17}, {"__RealLiteral__": 0, "data": "627.231", "prec": 24}], "trace_zratio": 0, "traces": [0, 4, -15, 0, 16837, 62500, 0, 343040, -14865, 0, -234375, 12697800, 0, 34336040, 26944650, 0, 66562801, 84377280, 0, -131821144, 263078125, 0, -1016682450, 1046106360, 0, 976562500, -2998448100, 0, -2229409030, -1826812200, 0, 3501222872, -1278404505, 0, 2712309690, 5360000000, 0, 8297642120, 50666879340, 0, -232265625, 54459122400, 0, -48173425360, 141205041150, 0, -131025090720, 202496682840, 0, 116605824372, -3662109375, 0, 183603958220, 116147122920, 0, 198403125000, 985319673150, 0, -209673904950, 885100702200, 0, 467836185368, 1845870142380, 0, -1316914666607, 536500625000, 0, 819037749440, 4568941043490, 0, 421010156250, 2886468559200, 0, -1235535876280, 5480818576200, 0, -1007297478532, 3590015832000, 0, -3553486866616, 1040043765625, 0, 9494817638400, 3441261762480, 0, 1318395000000, 1418346623400, 0, 3182744059050, -2322663606000, 0, -4966358282000, -3469668771120, 0, -19865804246880, -2059705375000, 0, 8462989649240, -17650752985395, 0, 4110595703125, -1782600130200, 0, -18130766065840, -24067942667100, 0, 17489785272810, -6588500328480, 0, 24006973587464, -15885663281250, 0, -8412759554590, -63559055461680, 0, 16345411875000, -99661596226350, 0, 7262041411950, -91318788286800, 0, -25806671617724, -197997984529230, 0, 28296427145516, 15258789062500, 0, -38391086917840, -11216438682345, 0, -46850751562500, -95365540795800, 0, 67530511698160, -35350090442100, 0, -133540101179610, 157540070025600, 0, 98841710036216, -34834516093750, 0, -156034194906300, 118926319062000, 0, -28543940625000, 283609577968950, 0, 160393870945160, 191133127780200, 0, 314326612110152, 303097970525940, 0, 199692955531500, 54706607375000, 0, -442708513723000, 80367452929260, 0, -19975070390625, 647167458068400, 0, 333802700289200, 401615488399200, 0, -312168387469860, 432917527773240, 0, -664083878409012, 42379838906250, 0, 32775627856520, 1148331388061400, 0, 83750000000000, 135217066192950, 0, 677772874327500, 1168785970500600, 0, -647651245060408, 453305010111000, 0, 626601076177680, 129650658125000, 0, 554718009866400, 277670404644720, 0, 791669989687500, 559621677594000, 0, 164235188708600, -2018773440232350, 0, -2260882047690159, -220228304714520, 0, -268186716521176, -3629150390625, 0, 765637573051050, 163626343932000, 0, 850923787500000, -4446935112828150, 0, 823476737741660, -1059041887846800, 0, -512887539785512, -5147449518069390, 0, -4156256070285540, -752709771250000, 0, -1215710751098480, -10221416568050190, 0, 2206328767968750, 1784077925161200, 0, 4343781367174640, -7073679747198450, 0, -4829182690034490, 1554144786090720, 0, -903198219687544, -2047267042500000, 0, -1199133222213450, 2606001841988400, 0, 3164010669375000, -7008303021403650, 0, 13828767988877700, 9460027137794400, 0, -6102353967770152, -6235930453778535, 0, 1418413366158554, 1821966005812500, 0, -4725781249787840, 2719456276148580, 0, -57220458984375, 7203013414104600, 0, 9088444232926800, -11574841287984150, 0, -19417274050089791, 8473093718505360, 0, -959861681630000, 2868811847187500, 0, -14341775834393550, 12124139448521160, 0, 1814798795625000, -2534689684835400, 0, 37957029654173420, 17993399573717400, 0, -12041658010867192, 4000501156726170, 0, 1022744250320550, 3100048828125000, 0, -19400162913813160, -446182255096860, 0, 15395619892968750, 23939358019812000, 0, 22335537111968000, 27218067383396100, 0, -24779568371211000, 44557335257256000, 0, 15695131368158572, -3276154764843750, 0, -40490494654406290, 32346208675932840, 0, 13829698471875000, 14826176029714200, 0, 61555403633692950, 7845469454594400, 0, -57203681102156000, -33464059748688720, 0, -4835592596376436, 7309940396375000, 0, -12590543674499920, -38358651569806500, 0, 28841720974687500, 20729481769540800, 0, 62681762840243480, -27556425331654500, 0, -88408850300733748, 4711407990966600, 0, -24891665223642000, -20576791665734375, 0, -32241522561177600, -10508465894209680, 0, 8382822265625000, -97881431430709500, 0, 110967754961810400, -22052460510320400, 0, -44472304822001992, -59022790735458660, 0, -45305251416718680, 12797464835000000, 0, 56064131319407240, -52383539147090205, 0, 71389703804531250, -43578041273367600, 0, 125425792322237440, -99182971740810600, 0, -150036057214283550, -43445422452398640, 0, -48311071922006824, 6578283691406250, 0, -53036504591730150, -8255367149169360, 0, 45101071237500000, -52391443658710500, 0, 136827919155022350, 38852901608830800, 0, -107557239611701452, -37993268435709870, 0, -73113783710729000, -19305248066875000, 0, -129569355690152320, 2116442115845040, 0, 85637790253125000, 11513700679324800, 0, 164111539300212200, -33107630639212500, 0, -144494597916563280, -5660380793838000, 0, -97343517395573464, -15739023102062500, 0, -43686283974994500, -95981333608486440, 0, 56093997375000000, 206746796807001750, 0, 351872827947914570, -14771818711081800, 0, -151662280361558160, 209375738713473555, 0, 99320345607761790, -55523232290875000, 0, -30721823277130120, 124417412668638960, 0, 16250683837890625, 2122703525800800, 0, -42214151708468480, 330328574786329650, 0, -255499452103393500, -85173816984474000, 0, 250506842076146696, 148356525600000000, 0, -162354408237964870, 302192910499668000, 0, 53769715038750000, 126036309805887300, 0, 294355957077844200, 21148227685920600, 0, -182729857066401688, 579715301299303020, 0, -16714665274822890, 20599921875000000, 0, -210975872008423520, 433654453922805660, 0, 22161665990625000, 185127096732442800, 0, 202026391876870280, 161641861591582200, 0, -113734544515603558, -94342832677040160, 0, 51503653321008104, 49730375922656250, 0, -425670788974933800, -487717109358541920, 0, -36291618843750000, 252278853875383650, 0, 186632917838207330, -216941055494137200, 0, 347780830125144000, -537078220861638690, 0, -39906714209269440, -77599348156250000, 0, 52415649043500920, 323981614420980990, 0, -54213574548750000, -1113560286997193400, 0, 113837071698152960, -31205230117634550, 0, 353644933725663450, -129864296855315040, 0, -139961502568868000, -310403191357500000, 0, 341550216245505450, -590854154117868000, 0, -32182896484375000, 258932225584328100, 0, -559629478206239100, -1018563312928310400, 0, -185987830029284000, 373011938243699670, 0, -16602629018069747, 132234213269375000, 0, 225029557338563600, -1101002600112666930, 0, -275793015396796875, 98440993310557800, 0, -963472698233613600, 605906451785883600, 0, 91025049471999068, -1604969811435252000, 0, -374990418495146536, 64228057861328125, 0, 1177927389603995850, -291462325406641800, 0, -27853127034375000, -685681327276800000, 0, -1319560451204992870, -676979735389287000, 0, 1398177174090316000, 447305637109547175, 0, 342278921617780230, -283293219778750000, 0, 581080684790077200, 596611940466978000, 0, -376061604173437500, -490770831749238000, 0, -338084194481343520, -941606357707725150, 0, 1000569794759758680, 713564776041708240, 0, -526132066570119452, 273277894887656250, 0, 1163376662296653880, -582786546077904000, 0, -102945317632500000, -71854442700971100, 0, -2680181031419800350, 1310871774972575400, 0, 649085617344416648, -1262218737967222680, 0, 708212613718457430, 375108962304125000, 0, 352223481454677680, 2809705032605303550, 0, -248213488769531250, -115413233113786800, 0, -2547185298914911760, 1949831648268707400, 0, 3651284755408223348, 1713631972026780600, 0, 258184630324336000, -131449368040468750, 0, 383102493548695500, 1084676785143806640, 0, -993110241588750000, 3941290816412935500, 0, -3956368027174785300, -409743810872524800, 0, 1339696892247885848, 2087493556132221000, 0, -307103374608000, 255397060546875000, 0, 1250972966951471480, -2072110198618628445, 0, -1557212441036718750, 2163960094597051200, 0, -1720187794758836400, 3392700236616429450, 0, 2243367919282643070, 933945988398004320, 0, 1484667920607073408, 113469397061718750, 0, 143610178618517480, 2490785657025401520, 0, -1426856066981250000, -2720271009769129650, 0, -1065278295891465600, 1903138389887828400, 0, 2654197184583845432, 1784233811777946000, 0, 1364853127628698256, -403229244026937500, 0, 2718970472371902560, -1462488648530138220, 0, -3093718508269218750, 3268403249510373600, 0, -899978404315520680, -7296897839582221200, 0, 4398833634352276500, -2453371690477084080, 0, 535057644842756504, 442131674148687500, 0, -3050391611224976700, -1432782519911640000, 0, 238418579101562500, -5816815065514365450, 0, -6078096149445740500, 2441943967697067600, 0, -810794776302947032, -5225010366294953340, 0, 353737442451491550, -599860733091250000, 0, -109586937132956280, -607772429545312500, 0, -175256854411640625, -3693895302098535600, 0, -4512723431245972720, -5183449004286232800, 0, 6406133722601907960, 2841366899497477800, 0, 1412562161920962000, -732042993164062500, 0, 941266678686580100, 1679328123220265880, 0, -1490086574934375000, -364951749414146400, 0, 410710490853849600, 935087194286956200, 0, 3562197378248091512, -7856060208358279380, 0, 1869696849632564340, 1055164245283750000, 0, 1419251346202666800, -9736308561164587080, 0, -552345163157812500, 3819145360247679600, 0, -5966972367534299800, -3611626364263016850, 0, -36638116637521761, -4032009473004020040, 0, -3587452292199452000, -2086564080931406250, 0, 7321780009846751400, 6092778065084418240, 0, 2461563594150000000, -13354369111380080100, 0, 763715192024787560, 304453959389446800, 0, -3382157288840831848, 4644526389948117450, 0, -231295356020171520, 1544401719315875000, 0, -1559232275441524800, -4175104785872668710, 0, -544289313964843750, 3205040166243402600, 0, 4786051559737408480, -6816681617000152650, 0, -6118790005396368030, 7211495662702512000, 0, 424266748351265096, -2438034295410937500, 0, -1001339179143547500, -7356270357669369120, 0, 1858223735343750000, 11279627795952203550, 0, -5445913335441664200, 6120238909534833600, 0, -5838200438032082000, -3569776480623133155, 0, -3789838035936079174, -445999072265625000, 0, 11325925486552767440, 7932614766219501000, 0, 4431399655764843750, 9089491995817543200, 0, 5617147917892136600, 18229253346351334050, 0, -6720610900351089840, 11705420947128192000, 0, -13902814371637030984, 2506154233518125000, 0, -12572343497036012700, 21010187464682764200, 0, 2986455121565625000, 11552410570185850500, 0, 23837409074877314700, -10962553114497391200, 0, 1372379261668646552, 4718208931584623760, 0, 7377430979680239000, 4911353314221125000, 0, 1656847115638048760, 12191082692768752740, 0, 4735905789467812500, -6412500727099407600, 0, 8561391295842778240, 17336957761317889500, 0, -11124656012391849120, 4329997912611438000, 0, -8216548948085282056, 3120202430179687500, 0, -10596579160395982450, -6623562521484716280, 0, 854790740234375000, -10519711210868858850, 0, 20750080212319885950, 11816586199190985600, 0, 470405896372392000, 1992866166947640000, 0, -2188999546466595507, -6917320526921875000, 0, -11316705337924518400, 4718192286754981590, 0, 1255741452019687500, 1661670275261650800, 0, 17365488524867998480, -11005170949613485200, 0, -28432293337216571728, -11749849652666942280, 0, 1732034476550925360, -312110474853515625, 0, -28968479177754785700, -7593087562793454000, 0, 10111991532318750000, 12200340505584565200, 0, 21408595469091422550, -15955569075559611600, 0, -32131704977271340168, -4981021300999381500, 0, 23353778732497302000, 5215667192018750000, 0, -3061384842398637440, -9407573763275468310, 0, 6275242006237500000, -9971982473413653000, 0, 23390268618845036240, -23189586685976971650, 0, -26511413899226596500, -10619065654357938240, 0, 6990741165166389416, -4877631054216562500, 0, -13359221543846992420, -47216581409875344960, 0, 6764336371456875000, -14503770511177589400, 0, 61733688420457724850, 11438380372909398000, 0, -17710312045976150756, 20029260861987218430, 0, 3405230648688725564, -10376310600140812500, 0, -1340909465430850240, 2230692084144809130, 0, 662184982910156250, -19366486888308508800, 0, -15083799622932264520, 2262288342784341300, 0, -27340504469443321740, -42435673785130673760, 0, -18951907832531121016, 512119185258125000, 0, -37743821570738155200, 10301054919213346200, 0, 17942677938459375000, 10232748530723036550, 0, 49291318851600718360, -54829001243063725200, 0, 10207013894813524000, -20331285702577138290, 0, 6391562679932507520, 1308593750000000000, 0, -8057395905980147800, -7685014500742655640, 0, 2112766659264843750, -41929395507000817200, 0, 10799785739315746160, 44675407807070124600, 0, -13869126560080525560, -7314614176931076360, 0, -25156852708481114000, 10590201161367187500, 0, -25986302733417149230, -29192681632762235040, 0, 18262280789071875000, -10043435094385228050, 0, 17075771881351437300, -11255502189541947600, 0, -46661256867405592320, 45437010399210000000, 0, -4275851002339649190, -10119550704068875000, 0, 37203258603844767680, 14158175387667881760, 0, 7082890782984375000, 37187515323964069200, 0, 13239456937068938400, 11117389836595359450, 0, -5334524630251104682, -54644564597107452000, 0, -16374135550828457704, 9790641815276250000, 0, 4733075975531992350, 57370430854311468000, 0, 2025791533203125000, 35501809548900391350, 0, 14345816456840437350, 23521360837473409200, 0, -3996807739672678392, 53824025734909008450, 0, -8925909536842952220, 8667468904162500000, 0, 63904341334455934280, 95493189187273251000, 0, 4338600072573750000, -20656054377013084200, 0, 32764193947768742400, 8743409906795594550, 0, 422343469816734000, 108646682713066591920, 0, -44200989860065538000, 12369843588867187500, 0, -13177347094808781300, -55212897678748314240, 0, 8744088712406250000, 115779932955006437700, 0, -12187311464072037900, 55419208274379714000, 0, -10356572507881415868, 31363066823867148000, 0, 2723648951156186894, 2566174823571875000, 0, 71124000894109685360, -15999353876104528185, 0, -31543335003630468750, 15535044154095473400, 0, -70060017265328235440, 87041206234504146750, 0, 16589186231358182642, -48087397694258104320, 0, -47307554312575500000, -35326281995158734375, 0, -96336421700671051950, 72697618258270549320, 0, -3441067261164375000, -6661301694454837500, 0, -61154759618046731120, -88072746534356721600, 0, 27149444371924613528, 7123448175518411460, 0, 103648043601210081000, -4190417445643375000, 0, 83533301008588908920, -76428136573370619540, 0, -56705474853515625, -8968017024530220000, 0, -111188464985549990400, -37979202994431826950, 0, 124312930455490413600, 13056594916081518480, 0, 8975083965681710264, 11963087078922656250, 0, -26526346308277533600, -72142713513175759560, 0, 2556661623937500000, -93866447742766567650, 0, -10110952001567094750, 87280178984035673400, 0, 12821694037641968888, -128207684654899774500, 0, 105923273163782638897, 13295684179687500000, 0, 476928484699234240, 80874026799400689630, 0, -69483361137939843750, 65648484188286691200, 0, -52283691845301369160, -155358985439587200000, 0, 140024462238967546000, 10442933615063292960, 0, -83890719528161440024, 12866824027213437500, 0, -67003721734040632500, 53784363126179988000, 0, -16547529497606250000, -98769298098924155700, 0, -143786472079213615050, -71776352483847982800, 0, 77415916188035448392, -138575778223233537720, 0, 140966554596092563320, -8013867809148625000, 0, 121295213332432936720, -70358411673675309255, 0, -80428898719834218750, -189900972742160825400, 0, -101607803581948950880, -40800878868061781400, 0, 42788927994169152000, 129821972038469622000, 0, -63871992975887656456, -64941501098211562500, 0, 17341899853106751260, -55292120746476174000, 0, -11761090175781250000, -60753452481282434550, 0, -64681241509999547850, 21279600245286319200, 0, 69626909621282896320, -49726599283491745830, 0, 110041622384709530024, -18995480485913750000, 0, 53724321944326222160, -261039147728128548390, 0, -159709633875784218750, 235471706087212608600, 0, -66860217128761850680, -83505754596745696200, 0, 115987458515613637050, -133732187443128608400, 0, -70707874318569794000, 34473886999511718750, 0, -128973475314130345800, 95357343317476047960, 0, 27876217580643750000, -140185280120420430600, 0, -223371847347375789880, -87902052530421733800, 0, 142221819024355218000, -115609657086730588260, 0, 175766805722016709050, 67871583862103750000, 0, 305669545792523832920, 10467227635560636000, 0, -110526246049975781250, 5173798847307946800, 0, -263847550809972424720, 32622112356425533500, 0, 282912389319625131720, 304840171913881107480, 0, -43161749338206818344, -75455979531788906250, 0, -19100975315427092500, -12130264457294412000, 0, 24283512282667500000, 103295296670524761300, 0, -37396561159514406300, 359521522743664999200, 0, 90467371518011632000, -15182422610321550180, 0, -91293283500956241000, -14112472182617875000, 0, 240047638499231054560, 118480691479333848000, 0, -31988547539062500000, 284340237323940332400, 0, -183247698451044112840, 64940554933818943050, 0, 189767668389560698591, -34416048588928740000, 0, -229500665802998302448, -18736456597085156250, 0, -220568486207076613800, 327528846858811763280, 0, 40718778781068750000, 44661650277256087500, 0, -64569411044063703370, 37319526183486255600, 0, -41964701098793669608, 391243969681050088470, 0, 63924244247887570860, 49437666708984375000, 0, 123424548302310657600, 805642141246104720, 0, -109504734709432031250, -105364838135808867000, 0, -217178818849234917120, -38573488224075714600, 0, -24434072516913127890, 131379480531020656560, 0, -143215261048915656000, 216074499826214062500, 0, 215442989532757041450, 121494644309305571280, 0, 147812924028037500000, 59267152632863275200, 0, -144254032488010092600, 316740194349761638800, 0, 11235039531002825768, -31496305778825192970, 0, 188852821733014714000, -95349280746408625000, 0, 446659083787296573600, 91002352876784178480, 0, -97436413340289609375, 214078421317973316000, 0, -125389517609465327800, -138468839602050847650, 0, 49925051498197706252, -235996626637072209840, 0, 19331875001710538160, 22162708846227406250, 0, -284286606432165302400, 68434159837417630920, 0, 28468218840820312500, 29503242644967376200, 0, 95616100021111335440, -170191106610075990600, 0, -180614152660183374328, -4258859439492964500, 0, 511278531233064217410, -73840332027935000000, 0, 142983909680045876840, -225828492588589373340, 0, 42491504314821562500, -525372129458821130400, 0, -94700194148759774400, 39427565389332528900, 0, -63911779304563125000, 9370958824212732000, 0, -571427770222192723624, -894069671630859375, 0, -269961407314198158610, -310429532804418636000, 0, 112547084595384375000, -206452344511887109500, 0, 472840742623882731600, -30197693324613696600, 0, 219733585663939450000, -112725023330784940380, 0, 13671184627279415996, 142006941139481250000, 0, 319545947843348677120, -82848993241499493450, 0, -180856895124752343750, 213688423446309379200, 0, -78846095290487990240, 40734545537156966700, 0, -367530520455057628500, -151963474277219514360, 0, -367256237925222502216, -303394907032652984375, 0, -750232367991655962600, -339050491887194392080, 0, 132392089351646250000, 421328903071540020300, 0, 506564741554649114400, -376103176692462159600, 0, -211902924894133028728, -253107585728352766440, 0, 706297600496235068400, -14997838775468750000, 0, -166259509007348200, -118031742691545937500, 0, 44825185112304687500, -411150660294655071000, 0, 470876009062576291760, -174057682731807364500, 0, -22451013095347213410, -43859573102070205920, 0, -707262557156002668000, -224090247412399218750, 0, -744182335567387735200, -169863978145311558000, 0, 189439678883143125000, -502003376854847383200, 0, 585051660204775755450, -284150177304201130800, 0, -414843071487809304088, -27307175291010996270, 0, 311238207294998161724, 28356231181640625000, 0, 267952686352865762720, 9024420411485270220, 0, -39604526325553125000, -331690131463206603600, 0, 308239867600755416320, 34771670929498200000, 0, -282792681330386689080, -343099985595710640000, 0, 133519379472093406000, 593078588346459687500, 0, -1123951211433802104900, -410950660852791197520, 0, 281146868339334375000, -42354191518856807250, 0, 1070373439267800352070, -436006487697593095200, 0, -336505932727894136000, -447074333024914393155, 0, 583883985760969155030, -188150906419799875000, 0, 580833868390531285200, 891857063189134228500, 0, 62507830573846406250, -178881579883117492800, 0, 160713596442442537200, 206424395138564104200, 0, -916099706503096642980, 239327686145203843800, 0, -268890697689358605588, 15980378911258593750, 0, -646835101503616288580, -1897425023813746920, 0, 48438262939453125000, 796035940745851027800, 0, 551545804964071723800, -96145275248842528800, 0, -450929523587054938072, 1135739978456245079580, 0, -213594403547683390050, -303127545528330625000, 0, 469223751414771000880, 210335197388185538880, 0, -6971597735888437500, 279602237232550240800, 0, 644976998982658837840, 1824133198073404800000, 0, -655700522895599973022, -377343560598872292000, 0, -625351614156473545144, 240556560827636718750, 0, -1132695157244738214150, 450550071411685793520, 0, 374052469059562500000, 71829357996434152800, 0, 709644735216121438650, -189092881105377902400, 0, -922089850007043070080, 1251734675722018523370, 0, 640930845573044086500, 348992767374500000000, 0, 630201312749186188240, 862902130150767050190, 0, 425282302865564062500, 537616616326642145400, 0, -353140406981368539040, -2372868691591396500, 0, 191713966174191363840, 381752026569459146880, 0, -567823444403584355656, -387180755800171875000, 0, -318513970454414652150, -626160053763522710640, 0, 696208363394625000000, 1249298834501056661400, 0, 1812837660220446078600, 482026315957623928800, 0, -524509840174775418000, -365473682666148973500, 0, 140297213456353839969, 245236427627477687500, 0, 601592365434684956480, 617247201176574718830, 0, -51189918200683593750, -711000170091616984200, 0, -430869842533077633880, -200400802078236308850, 0, -190424883027532445000, -370453069901104517280, 0, -278923515749670260296, -632663978975098281250, 0, -1127467792800962242800, 326853047120829108000, 0, 505409510561450625000, 864688595742146004000, 0, 739145787078271489490, -381008347809618337200, 0, -835684713316855811992, 302481621591873142320, 0, -367941445849066431000, 216089038623046875000, 0, 416471644770257888080, -735978218422969264860, 0, 231659000464284375000, 181486315090250721600, 0, -90088074373992982720, 410101272554343000900, 0, -394542534710602178400, -546434110289937654120, 0, -1142507433447908080216, 961803181776452343750, 0, -565775872099729045900, -437847088697297624040, 0, 122585460228037500000, -1325468287309696837500, 0, 1245683213151510691800, 430462672541161081800, 0, -69985524668296063424, 687379702710848031780, 0, 796161956651836502640, -893807517221187500000, 0, 1473556039004140908000, -718864787672672229000, 0, -522875933573261250000, -753966583797435141600, 0, -154126310274249480000, -2223236176078943447400, 0, -574141197335933270092, 949092799596595008000, 0, -1417063363042012064904, -75556134318381812500, 0, -752635169253024755100, 81551783683859189520, 0, 114217818693359375000, -889140593655440801100, 0, -714520796866088479500, 566398317065145877200, 0, 595489280707531294232, -2122136869571748953520, 0, 413913674307772821000, -196727244914061250000, 0, 1211042765878636143600, 204282918104748884910, 0, -599353930778226562500, -238120890036188949600, 0, 26035966419204664400, -225202131346640265750, 0, -337455012342677365290, -1046992238359995372000, 0, -445332876428436705256, 450651890229492187500, 0, 257029956098836898210, 800756864405964026160, 0, 323898152649075000000, -521102699770271500650, 0, 445006013580690585600, -1482638331309923250000, 0, 951536972557924942000, -2015849920475143125000, 0, 1104249281493386860320, 979402544378804375000, 0, -557697948702214757920, -1734718208594657146965, 0, -430569145807101562500, 133269429379335113400, 0, 79217792549365366760, -752640567028691059500, 0, 215763314715251735490, -196252558829094110880, 0, 491068708245358945544, -1381388285948964812500, 0, -1461931795876705421700, 187237717179958426200, 0, 73615749858853125000, -2118851600938482664200, 0, -816591380860131342160, 1062519125989475956800, 0, 553681811735810344000, 1352981070979147809360, 0, 2509512023637613755810, -388932269119406250000, 0, 856250341345382280200, -2485212213932123640000, 0, -321512369777099609375, 1767564200863601649600, 0, -1444787439373146403040, -555134846383849766100, 0, 2067173825803197184500, -780524846007421731960, 0, -584535132657241151896, -503773790018400000000, 0, -1328102061638559790640, -189881587809955226040, 0, -164194779597026250000, -282702703804474886550, 0, -2499813052394271336600, -674120919497807038200, 0, 183603837249764180552, 80627107964372905980, 0, -147329913193803148500, 130981597900390625000, 0, 697202860103333751440, 579691466761669758000, 0, -1529397366104835937500, 7559520427385946000, 0, -1309968824521556896800, -207809480141002970400, 0, 2276775411505603826738, 2694861448087815850440, 0, -1609539598976200278000, 1733871171278287500000, 0, -1704056435250417984750, 884097460082441493360, 0, -344569695473756250000, 1212041429888543526150, 0, -138022144937700278110, 3395957475327195367200, 0, 608811493248237934000, -743545386756514318500, 0, 3880607691992246842680, -694879762843781125000, 0, 1248945051113046517640, -16210829743400427510, 0, -922231105241541562500, 2641822756120066604400, 0, -1782296391645577242160, 1530560553092466413700, 0, 2034495871570975057170, 1377355323416132235120, 0, 474365391534010471976, -707894553386229375000, 0, 1581586600774238830200, 1773900148863935436000, 0, 199960388046875000000, 473747866361488126050, 0, -2955318606509585202000, 1008355390343102965200, 0, 2078279537977459274716, 1436636905019393095335, 0, 411386552499430982486, 876002051865738125000, 0, 2287539482035720007680, 2731995782429628992820, 0, -818492799173284453125, 574072359910543836000, 0, -2060068558486043761720, -182848369521319794150, 0, 871663381567451600070, 2849994943137032830560, 0, -933452725734940920136, 1115464121945800781250, 0, 469481385987442099200, 588482854435290018000, 0, -680906894896368750000, -1024128761450068150200, 0, -4656989100476033994860, 1933665701790739764600, 0, 1897627154170352562000, 191047104128912280780, 0, -151781197161893045430, 1959778005034960000000, 0, 2107157011377950054400, 1689708649134508569060, 0, -1549733933450165625000, 1751017292749788603600, 0, -2231001732245141309920, -1112342326218948717600, 0, 2043828310998266808600, -2239345917151351410000, 0, 974433571404237824000, -2344313393973180468750, 0, 3062663078348451001790, 2215109036947619700120, 0, -678834725818728750000, -763127616610829839800, 0, 320921279777737573800, -1618651102714733827200, 0, -2370695682702805788328, -3900988313371150734000, 0, 285135102001236662066, -754860498781356625000, 0, -1599101330808847842160, -856607299939782089280, 0, 102785682678222656250, -1260509578412845921200, 0, -2741648973786260252680, 1017842743937430850500, 0, 4557710325843474177512, 4130487545626185624000, 0, -4417848009593401121464, -828695384245783593750, 0, 2136817647774409854300, -4673977868114677344000, 0, -128990111705771250000, 1141661591634374033100, 0, -3182919863872681987800, 972834507198170859600, 0, 3592733994967444884000, -1436399005007503326360, 0, -2190500500779124458480, 704704238085937500000, 0, 3010298051375422678520, -2896016333172954613500, 0, -818616307167351562500, 599066374974841674000, 0, 871088248585965751760, 1373686759831611222150, 0, 2643670159562499454080, -694565757907616652720, 0, -502190333191467406504, 2137936236797224218750, 0, -1579380375560489262910, 3821224749926351940000, 0, 607076587637981250000, -2442831379578526295100, 0, -3510808585360517478600, -5836045996476379971600, 0, 1360040307926648509448, 2256159488647532242500, 0, -1133313729576236088000, -1680581868932835187500, 0, 1822338660445977434560, -1217537055486078847770, 0, -593644819307966718750, -3524259148705997196600, 0, -3726030583046470386840, -366261487877935432200, 0, 1849268350704107427360, -3479384977018969806240, 0, 4951619182373679878880, -1142402870480140625000, 0, 4129612264284363691200, -3623934177063948151800, 0, -301644501044921875000, -1773975271444420275000, 0, 1291031960554054547810, 31922691580982067600, 0, 3143063443208363606072, -1787519966515937438910, 0, -1165936506754701811500, -2024521182658630000000, 0, -986480924702139130800, -2242360314844922502660, 0, 33069408060078750000, 2581885299842121680400, 0, -2623331823827125405040, -4911938860085494173450, 0, -5308644546402549114000, -4666765159569256929720, 0, 138442731232078811028, 1338090472705078125000, 0, 330160773540720209030, -4015893894833912421120, 0, 179901573114450000000, 5243566939815822539850, 0, -1892935013686113966300, -1403439266502083663400, 0, -410414064557616739528, -1729071655867671517380, 0, 1207997139374542066950, 2564242801565815625000, 0, 3141209370017506351520, -3685365600660535949820, 0, -517306728737695312500, -9392434204832075338800, 0, -141239749507385083480, -1366882378524087412950, 0, -886289560740740177000, 3001606549113707553240, 0, 1656286990434010820984, -2257728092446301250000, 0, -6020272540314144027450, -503134679096958444000, 0, -88443449903718750000, -2744743537654442400000, 0, -1894801508232825733350, -686335139023405700400, 0, -6150226680495910879376, 3205762489403513406000, 0, 118233316232291399160, -1520992459305835375000, 0, -4989941491879040252720, 6866461622687017233000, 0, -245922235969726562500, -128974438604585152200, 0, 8162219070277610262000, -719711152562536682700, 0, 5069591304565001503230, -7254814309187106249840, 0, 4945126653175895483040, -682598187109289062500, 0, 1301936640053569257900, 7182836761118436268080, 0, -1499708337632600625000, -2564920534932160490700, 0, 5239473645292977181500, 1608750729160094221200, 0, -5653797394053686616720, 4458182064913984567905, 0, -3460841091288517556000, 876468708984375000000, 0, -4140601063488695270400, 7066247461884879572970, 0, 3230418700109402343750, 2385702459361523386200, 0, 3999988205999565270920, 7094401190235111107850, 0, -423483750796321856231, -1855426043060303442000, 0, -679254656863211162000, 5498012936686165156250, 0, 378966251229506029650, -8255686787233043208000, 0, -230809667360653125000, 10846876785970992186600, 0, 4900196218822587697550, 1903016206046627029800, 0, 587932819867185351368, 5272188511033364854590, 0, 6384369881354004616890, -2369723130649346250000, 0, -4167656382568084625360, 3225423678449585625000, 0, 3271495917398024296875, 870268885989977816400, 0, 2990038692769158514720, 10736676099237964483650, 0, -5715298978738279644240, 367408800213372780000, 0, -1526145366603291774000, 1551880400121277968750, 0, -8196723345086394600300, 6335855622679005087240, 0, -867550504544921875000, 4008662808670838247600, 0, 4501821795647803526400, -7244506009694144626200, 0, 2394315006270445516000, 11888589784352236765920, 0, -3727386336782668339876, -480028488705158125000, 0, -3653680272440875521520, -797205749973247491000, 0, 1944022072947483750000, 1984829736084144752400, 0, 2296938904179709111640, -2624030248390209885300, 0, -8795537271995730381508, 1495767891937124592120, 0, -361030635478117995064, 253916934967041015625, 0, 4440791283603739170000, -4946061397756559618400, 0, 33167242590637500000, 7556886360472007587500, 0, 9732911400024318676350, 8216712380176695823200, 0, -3441517464957134082712, 2982553872387627975600, 0, -6045231815973364437960, -659596120444820000000, 0, -6335316851921513115640, 7863530946876458294310, 0, 5161383981036400781250, 847860073362707169600, 0, 7268295363630820397120, 2791970079499856700000, 0, -8470602619030311444630, 339919272672238796400, 0, 1778021710234440853064, -3992178939115523437500, 0, 184115956566562725890, -4872678774911178993120, 0, -1330840890382406250000, -162336631199410989750, 0, 2288551015743985095150, -3226152740650971584400, 0, -1712423491911699224000, -4003401205151520645930, 0, 4231912491960773861500, 3914169407439792125000, 0, -4092693514037443260000, -1892670247531825724745, 0, 2318070712500000000000, -9856452789509520170400, 0, 16509313349973917843720, 8806040233894172360400, 0, -11444769232915129752870, -828690587662361287680, 0, -2595353870435797008000, -2536787628718201093750, 0, 3077718097618208014200, -3031788963523419597480, 0, 4721764226557312500000, -4940998276649174810850, 0, 9317619147823248525600, -12052779391864654590600, 0, -9712724730596620557104, -2020520604520568802000, 0, -23611919558729583328620, 840151797480468750000, 0, 227277401570963242720, 3950539052770905004140, 0, 1969317340716989062500, 3047043158465942138400, 0, 4146430567181817101120, -10208133601135253866500, 0, -6376937911993356166500, -2379268074638094748200, 0, 11075408804260031461976, 4599311829341315625000, 0, 12403170271801306236140, 2452591496539950936000, 0, 330441057592509375000, -57342369816750364950, 0, 5711736424715538092700, 937724355609124824600, 0, 3699224265115278780000, -15518144468425760717220, 0, 3718642974669640609080, -2855154016662526375000, 0, -19646377035971496366480, 617953175658456892920, 0, 9058051582801609687500, -1689537118350388825200, 0, -918933537718091957560, -1500325550149036576800, 0, -14739382823851811499731, 6408630619308705846000, 0, 6849634648864037332000, -261166644919107656250, 0, 17375798652173551876350, -11001645915089638410000, 0, 321873779296875000000, -7407653079778259659050, 0, 1743612373203635343640, 10254772373841907153200, 0, -8388402365106826099672, -7437401536027800432000, 0, -12343787328388580878500, -3296498000131617500000, 0, -8278082381288012142280, -14791776462760892316090, 0, 6775850842543838437500, -11097868340930450429400, 0, 5829380313024780833360, -3216476456675679560700, 0, -12386422257490721598000, -1952265771036323503920, 0, -1883672060526917924000, 346276031103515625000, 0, -13787557013277324290850, 10979114742468564302400, 0, 2892610886444418750000, -15559352496717843733050, 0, 1608574357776351517200, -10096164655353767209200, 0, 8427036625792379358968, -6772681521052309680000, 0, -14518566918730642490206, 3156662373076098125000, 0, -2110960898664457407600, -9710253478637846975880, 0, 2525654087368471875000, 6359906322533840589600, 0, -2541827470324952635200, -15625913544406405189650, 0, -786345125831657309130, -7766187538039538748000, 0, 13587651772511785442744, -1777102258056305593750, 0, 12499406095715158463850, -1598344461363604026000, 0, -1474106760578752500000, -1480900323780784285800, 0, 6629995443520979345240, -5912869813300190869200, 0, 1898028487920837712000, 1180362490713909462150, 0, -3697170962511237519450, 804744583140751625000, 0, -11223510225327337604240, -13443808786698405105000, 0, 777037123791503906250, 7005947582788300173600, 0, 9377094053954667351920, 519803748702416640600, 0, 15480276319146291349080, 5420637642331689644040, 0, -607265769203389420028, -6651106077733340625000, 0, 9502137622817396831320, 5690108674820906178360, 0, -7620579833727217500000, 5841355832097743933400, 0, 1666853745492512458950, 13747755233943728004000, 0, -14500549960473536946808, 7124672972092459687500, 0, 3739313716683991477604, -567056544433593750000, 0, -2508792964663553294400, -2689025391840472093950, 0, 3941857091802869531250, 565805715734499116400, 0, 8138880100338405240000, -1755711000141037932300, 0, 2142351383798006860000, 20073757961225252138520, 0, 14416047816068586083576, 2916139341221989531250, 0, -2947148023201447666200, 15419699062716117765600, 0, -3389703992095893750000, -3021341578751125070700, 0, -2924643412536911239500, 15532977043405989306000, 0, -5462550835307167968952, -5024925018067803149880, 0, -13277660779884175164960, 5434075470705375000000, 0, -19898505480608160648560, 9351305621809522743990, 0, -8391847200963104531250, 12424385271796991680800, 0, 2094081679413493633360, 11503412929784012830500, 0, -18140099248715250196500, 4194273380373557967120, 0, 20223952425878339809496, -623542409519835000000, 0, 26359722338376611733900, 9143902666959363288240, 0, -1212489814941406250000, 32685794147088689774100, 0, -10039463314662534169800, 2929222720733573944800, 0, 15619628387176180569992, -3857952822944795055000, 0, -9974205040449393489556, 818994516304701875000, 0, -19532446981438187905840, 2577577199725016193000, 0, 5062212725327827968750, 20869334085745964614800, 0, -2701509887887045702840, 13823863449543120309600, 0, 18781755247382262552000, 13610507084818916867040, 0, -5064500828886630550936, -847087102324218750000, 0, 13179483778782524610900, 6067267855670057808120, 0, -17399379484331146875000, -17216820972497293501650, 0, -24271487688298901840110, 9725485124287660036200, 0, 13172950347817453831928, 7342533051163943611005, 0, 10902465617625803250000, 1778704245283640000000, 0, -7449173763761758235120, 12818962491030937673880, 0, -487581720588039843750, -9842727007603206140400, 0, 3858065304048556282800, -13927535836318737755400, 0, 15481096405883841026040, 8467235160315674574000, 0, 17156705197001210120400, 5525702089463491406250, 0, -14377193664454471799700, -15227970084398537779320, 0, -2029129638364297500000, -18554261121479106925350, 0, -27076013176234947044400, 13447298701764756760200, 0, 6311947596366178560488, -262527342101423564820, 0, -14956768305889461304830, -2186898477638562500000, 0, -8978130657994049847040, 33079426496709055158060, 0, -4850049864960937500000, -7745281876760631421200, 0, -8747037513246260344880, -20592963040335809475000, 0, 21296746730419905892624, -11644126051040697852120, 0, 20670694701548644324000, 5336722128836022656250, 0, 56568373418024902548750, 43225930526401120272720, 0, -9232096158091687500000, 4986911093780214143550, 0, -13544832385817192532760, 5367878910331964535600, 0, 15668952282241513097192, -13810102920910225248090, 0, -22537524944921291016420, -502857757568359375000, 0, -13766305582311414757480, -42701865245389440000000, 0, 4045816024755126562500, 21843086887782801301800, 0, -2102801230390274077840, 1955113197567938486550, 0, 18967315216486246781790, -324138917362067844000, 0, -1673170809708483439624, -8744210596972485937500, 0, 757750777648857086400, -29526935166908683299120, 0, -15915051764504850000000, -22461595971876832027800, 0, -51709480803620798645700, 18444068177068030185600, 0, 21500625964889834076596, 41383540701950214167970, 0, 31213507727076207078446, -2906059844207562500000, 0, 15463113510108880058400, -28299681775157168514000, 0, 5828311535057807343750, 30647492843181734187000, 0, -12337611776927639105360, -54433261342745502975000, 0, 2598857703161115873488, -18146019921453966684960, 0, 19585045113535915416000, -259416078407339796875, 0, -839799429540023371500, 2038957848001090316040, 0, 2066159582333984375000, 7928360835815384281500, 0, -33662840094086291633170, -34137717132782184981600, 0, 16020670788860096292000, -29346708030398408283180, 0, -38013101415593526662370, 3516086833415056250000, 0, 3862285483049915960120, -544444398241644840000, 0, -17203165626760420781250, -27502444416196454103600, 0, -27199124996561573399840, 24278118191860386868800, 0, -14532046657331425972440, -447964647659487177240, 0, 13196154048663652246912, -4309265865574951171875, 0, 60996958485812614750760, -613871718753000948000, 0, 1538140520477465625000, -21705459273649204909200, 0, -40243807038613311578850, -12822760922525364358200, 0, -5235778066618940617440, -34147872419760610657620, 0, -27672321104851223719500, -15054260909900212500000, 0, -16898155207340682892960, -28637712853000317150390, 0, 9467288309154431250000, -15050839173323700788400, 0, 11084695433424002745560, 43060629013559802990900, 0, 40161531448066892325812, -31700491081990468709400, 0, 8565751034042998108000, 1422266397999985437500, 0, 61913068980634070735100, 11759232371614717260000, 0, -25077653303675812500000, -5639845436489832787500, 0, -28722499900650294887700, -15963140431805542465200, 0, 12123871658154070454640, 21608248817470861755000, 0, 21581125875536425434000, -5859225288986664625000, 0, 16377194798049146673600, -18065573732036380848210, 0, 1003563404083251953125, -44876324305524336283200, 0, -17184844403103379136800, -30906286031134888360950, 0, 39788692117027389955500, 50220588152106150280560, 0, -3598551595706122826000, 18405115462562435156250, 0, -5860755618041038250500, -57078784310138456148000, 0, -4554098834478778125000, 6776513505616741870800, 0, -5548006403548472864850, -23398023951470056954800, 0, 15891928375924506706712, -52178153119100039469000, 0, -47664848897197238739196, -435205109912109375000, 0, -21251116498105067070720, 49682892709365782904420, 0, -10713770738700000000000, -5442645403215058001400, 0, -23924100042323320322400, -18841709991039910620300, 0, 26451498762660606238050, -31692358397700999132000, 0, 24479491867819680357416, -20618132050078013593750, 0, 47344840678880281555200, 2834303520485541788760, 0, -10577808365457609375000, 54298116499083630147600, 0, -12722568225366404589540, -9444811405604201773800, 0, -16437417605430830288248, 15116308429314779062500, 0, -35739352664777502308730, 21846518345161187500000, 0, -25067721051777570702040, 63657914946270307393260, 0, 6989150579836674609375, -5959355032630232710800, 0, 10204997903009119032000, 37194215702694773110200, 0, 34941613362230495173560, -11864822798989950664560, 0, -10554572333271735998000, 5348108150277816093750, 0, 3113907748535068886540, -19041914055646241960160, 0, -4426456559042968750000, 1075312817455462197600, 0, -36648407524961199728100, 54992722699343368417800, 0, 9514722422762599500000, 59287327122935712257580, 0, 43113243254876082386760, 9079385699844956250000, 0, -16732239629622383512160, 603914739132269762400, 0, 9322061569796531250000, 9681723585403012083600, 0, -4781170935975799564600, 56668007305601940786750, 0, -20706461757739410511500, 17339443135192841983560, 0, 11742655043911531065360, -5875962565209960937500, 0, -44673445683462245096250, 1071216830304918176400, 0, -7668294246081843750000, -9502182237232364409150, 0, 4340999744908741097300, -42237977332718903434800, 0, 25834009044350726542000, 49487002885339557044790, 0, -42617415938258400005160, -5282565538770992500000, 0, 2914205497098091856840, 76902885199758556875000, 0, -14712599339183205468750, 19127877469206168385800, 0, 6778144841131355219680, -21385382958532074991200, 0, -18389686470328714881000, 8616875176052338164000, 0, 73883612088877973544000, 15633903043121229375000, 0, 50905014244108154517600, 17302204698233206555680, 0, 11149449625651691250000, 93542059092404897015850, 0, 36776092087824331331700, 9523449530435568780000, 0, -11786968252197775549376, 30994724227261724514930, 0, -574474825498962087814, -8220813540158116437500, 0, -78410985273515688882400, -24742186311318844565580, 0, 4269967107619628906250, 5848528051898100951600, 0, 16575992653808152669360, 107508563005073187942450, 0, -14548072174792350501420, -21870988120388744825040, 0, -14626255888148476517896, 18177760348385216875000, 0, 12477011506186199496900, 3772137855366982059240, 0, -9106039782467250000000, -21754990733559546112800, 0, -5923556327466011013600, -47851782817995517266000, 0, -31349442650965004499112, 8407530459253719354360, 0, 50304055287108314415000, -1608520588007812500000, 0, 55597538385045346387640, -20381164868022555201000, 0, -1122725667202673437500, -38519237901995457363600, 0, 57147208548934173332240, 43247389897930767054300, 0, -40374374306925384919560, -5535980340509150440200, 0, -5447632843019689855816, -41877828615934380468750, 0, -87733816863839596598650, -42171054897448783430760, 0, 20482371483946490625000, 32139366769150811701650, 0, 65523988065960201850800, 34748746763243396345400, 0, 8148881591301458254000, -10003512904273109542500, 0, -6124500825618953722653, 10141962771006510125000, 0, -7872878876884442585440, -33974455854745948683570, 0, -19722167780737854375000, -2411301944550837957600, 0, 443394285462406527320, -37544079467293915200000, 0, -46008355939441795791500, -29055684429742396272000, 0, 46512775673409284781944, 11065822089350897343750, 0, 30514709663271200000700, 33828208436333156208000, 0, 5861077536001953125000, 52502784922837237800000, 0, 33574330389501652613400, -70752909141862870678800, 0, 4998728880352360898408, -23454547190880347264580, 0, -36887107705497649821600, 5503491897729338750000, 0, -114824061012790549072800, 52335640460929914884955, 0, 43901641134457867968750, -15786903893479830076200, 0, -39961190845222523601920, -10383806044580992229100, 0, -49583534011505290592310, 30978403753911209136000, 0, -22319847910325169558664, -3878335762023925781250, 0, -12755806542206788333720, -40994177984006604576960, 0, -1803331767402918750000, -61051313301785620110600, 0, 17904739689612338870700, 32722638546956279652000, 0, 5056353912660078186000, 40196915339009374680870, 0, 63272838941704191249356, -39799770295545496250000, 0, 22673492651903119398800, 16567240200668135330850, 0, 30466119504198553125000, -21522980159662525656000, 0, 46968211173623762470800, -72942538792942724566200, 0, -56735531776134249357120, -39302164275749146090080, 0, -41854730818724540618000, 57051324303253489812500, 0, -74556097557321972649200, 14675503469445892998840, 0, 26775499562918446875000, -83769104417654913837600, 0, 71150897052824559729600, 8400557944691484329400, 0, -46143242385965300599672, -64907863324907048291610, 0, -54642182727498980716500, 4034134848817750000000, 0, 8205978939133145579240, -51895400023402286781960, 0, -2053896375632324218750, 3250466419936384627200, 0, 99705549485218043364560, -42077416350494372917950, 0, -26008090825287796357440, -83526709127768073348000, 0, -7741799465782511901572, 5985976461698367187500, 0, 65988965012044750956640, -66793328769586945278000, 0, 16948074767871978750000, -85414031232453333297450, 0, 111586643613930353178600, 1790702532928473334200, 0, -6836126675076280240000, 22396784863475756295000, 0, -30416893608833690748930, -15517347524824218750000, 0, -27852157057120913851200, 986211595815628258500, 0, 61582669006452117187500, 56775516104145568378800, 0, 32700975632729591751320, -87353403558972624942600, 0, -75912470959549043385562, -66403893900523987445640, 0, -103864731987714708905040, -61818250424606020312500, 0, -10800912357605965240350, 31814381979523823927040, 0, -6402247044883200000000, -22682516791986444856650, 0, 23435651903144735992500, -336348562293381060000, 0, -80308193774259090189352, 5445679715233741871040, 0, 50226425917642886083740, 20932763941373216375000, 0, 102791741527401262031720, -110280462942181992638490, 0, 32617086814565953125000, -107611376986409352736200, 0, 95940039373613192282560, 30371634453220405512150, 0, -55155404055883077251970, 112352738443206881960880, 0, -30650210331753870738272, -4798490228250000000, 0, -122783607193526372950200, 26021085459259644836160, 0, 3990579071044921875000, -38168305422780542326200, 0, -23315406707318626372200, -59239399122041925235200, 0, -4801923771812824040000, -61354021752813299062500, 0, -94466789054924368155500, 19546452608616741875000, 0, -12920520847228049026240, -27888069934785352156605, 0, -32376721853416069453125, 134853883779763773624600, 0, -29113706132145288709200, 37474473538193800553550, 0, -21691227865756220585902, -47755907390117937951360, 0, 17523275616527844694000, -24331444391198730468750, 0, 44535080962716681026550, 281229426582035391960, 0, 33811876478078925000000, 137108089507404315530700, 0, 186827322421327053112670, 97055268885162728531400, 0, -120677798044426471344000, -48869105413776815163000, 0, 48850090241330274543360, -26877934293106818750000, 0, -8720375949801345041320, -36538914195908524847940, 0, 53010941197131710156250, 9851913153836330679600, 0, 581164201674633610720, -61756714761707299844400, 0, -33914788329891507654000, 147192049175966163365160, 0, -89495563465043439882000, 35052623738791297968750, 0, -835066913936137595200, 30650457726321023664000, 0, 14592906068718817500000, 71631631104351437468550, 0, 27948725783238413269800, 100543266320269734178200, 0, -17432999426806922834400, -44825591698063841836680, 0, 83083009280113812079440, 23197936259485522000000, 0, 119250641670409310276320, 154680468337016004261000, 0, 1772959329089355468750, 1730772922568741308800, 0, -9012018303739544761960, 16700104233915780943800, 0, -61678608867892421578252, 95466500700964593049320, 0, 61633215605763674694000, 2243909040914335625000, 0, -207377964428376764235900, 92265860743269619295280, 0, 38918525891021898750000, -62586126702130528370700, 0, 22206635744822400696300, -7854204851305547330400, 0, -25460338985092218976408, 156458567607166702023600, 0, -25457054729643097892760, -22294626046582031250000, 0, -4578875862938060353040, 35983292949633726056610, 0, -42504234527642650781250, 5425367065730187423600, 0, -17003717619750160616000, 43150910065056037345500, 0, 67459326542313161479830, 51663405498332713488000, 0, 41644038107011628983224, -16644973373304150000000, 0, 30328173378426872471100, 108774157800042804168000, 0, 29736537341997318750000, -79209713848043291214600, 0, 114033114311630937677550, 80537217808279154814000, 0], "weight": 14, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [-4, 1, 0, 0], [0, 0, 0, 0], [4210, -2, 1, 0], [15625, 0, 0, 0], [0, 0, 0, 0], [85614, 574, -9, 1], [-4750, 4128, -5, 2], [0, 0, 0, 0], [-62500, 15625, 0, 0], [3179418, -19666, 215, 9], [0, 0, 0, 0], [8598524, -57956, 86, -14], [6733744, 12422, 2720, -28], [0, 0, 0, 0], [16646582, -23308, 189, -30], [21082986, 55972, 10490, -146], [0, 0, 0, 0], [-33208804, 1013028, -934, 110], [65781250, -31250, 15625, 0], [0, 0, 0, 0], [-255389200, 4872770, -1240, 340], [262160152, -2555576, -20020, 1308], [0, 0, 0, 0], [244140625, 0, 0, 0], [-751933776, 9198812, -87880, 312], [0, 0, 0, 0], [-563387788, 24163252, 18658, -2472], [-455696182, -4256216, -229660, -916], [0, 0, 0, 0], [865942324, 37499784, 40508, -5700], [-315697910, -15643644, -46485, -15706], [0, 0, 0, 0], [651374936, 106502634, -284872, 22440], [1337718750, 8968750, -140625, 15625], [0, 0, 0, 0], [2046725752, 111080092, 332518, -8462], [12676759248, -38905764, 1248920, -2968], [0, 0, 0, 0], [-74218750, 64500000, -78125, 31250], [13566001904, 195498152, 468020, 84652], [0, 0, 0, 0], [-12049358136, 24715064, 586636, -121244], [35326001084, -95047908, 3835670, -79608], [0, 0, 0, 0], [-32779412368, 92888008, 276136, -53120], [50720026824, -384848656, -1504000, -79800], [0, 0, 0, 0], [29235667933, -344060640, -6900080, 313200], [-976562500, 244140625, 0, 0], [0, 0, 0, 0], [46146417592, -972228888, 9419068, -64192], [28941150122, 368701552, -13960200, -139320], [0, 0, 0, 0], [49678406250, -307281250, 3359375, 140625], [246444537924, -462183088, -3413130, 291412], [0, 0, 0, 0], [-51838124200, -2326466230, -5508240, -450160], [221211772922, 226664886, -26655765, 289861], [0, 0, 0, 0], [117948477618, -3959497096, -2117012, -345020], [461154547680, 1277113604, 25299960, 138016], [0, 0, 0, 0], [-329113180570, -512587668, -50333491, 309850], [134351937500, -905562500, 1343750, -218750], [0, 0, 0, 0], [204954277284, -693895276, 85744986, 280566], [1142736173780, -1935079988, 68973530, 401888], [0, 0, 0, 0], [105214750000, 194093750, 42500000, -437500], [722364312412, -2948032844, 36816810, -3840794], [0, 0, 0, 0], [-310324409258, 5672669112, -86672532, 2419108], [1368982980512, 4978056056, 92151560, 749656], [0, 0, 0, 0], [-255444563624, 14437859176, -41290388, 1626400], [896378369260, 4366420680, -132102700, 3831580], [0, 0, 0, 0], [-888776875356, 1444827192, -182718876, -6911260], [260102843750, -364187500, 2953125, -468750], [0, 0, 0, 0], [2369386935200, 17643279760, 373471680, 89520], [861756053508, -5949566892, -183895350, 3219990], [0, 0, 0, 0], [329421656250, 874562500, 163906250, -2281250], [356297731424, -7080648888, -233960880, 2385712], [0, 0, 0, 0], [789006971500, 26445404720, -265086190, 5682140], [-584079489540, 13555355880, -103670700, -4674420], [0, 0, 0, 0], [-1243831955960, 8834627360, -128034880, 6879600], [-865041911680, -9347990576, 143502160, -9631664], [0, 0, 0, 0], [-4976050800112, 37851730712, -549432856, -2210000], [-518887562500, 15828562500, -14593750, 1718750], [0, 0, 0, 0], [2126064378594, -40487708936, 779331116, -825084], [-4405636123892, -27851247267, 340310400, -16932160], [0, 0, 0, 0], [1027832031250, -488281250, 244140625, 0]]}