1 files changed, 2655 insertions, 0 deletions

diff --git a/test/data/divpoly/mult_21.json b/test/data/divpoly/mult_21.json
new file mode 100644
index 0000000..48cbffa
--- /dev/null
+++ b/test/data/divpoly/mult_21.json
@@ -0,0 +1,2655 @@
+{
+  "mx": [
+    {
+      "(441, )": 1,
+      "(439, )": 97020,
+      "(438, )": 201598948346408346749138595589353587508,
+      "(437, )": 2275087122,
+      "(436, )": 310927262294181614419684484799262713780,
+      "(435, )": 317115504108870610776237589705194616859,
+      "(434, )": 238190928241589059369233464629769964853,
+      "(433, )": 266943660106099362756522197679976453573,
+      "(432, )": 153402333328171964086545270263710950709,
+      "(431, )": 36156248285858384861491399844719874576,
+      "(430, )": 68618309294440875124825847895032400444,
+      "(429, )": 81940275054596141681907203204492700810,
+      "(428, )": 273753275173965199194690519988001633001,
+      "(427, )": 127847879045220942151327669972684376682,
+      "(426, )": 240758424215832426364068522313012307488,
+      "(425, )": 217871952225849850895313921444897728002,
+      "(424, )": 232672952704936920906008614649513644537,
+      "(423, )": 185901179922516094335268011309493505746,
+      "(422, )": 71804483167657044917361360877762428045,
+      "(421, )": 328924279902831759147615962118628857414,
+      "(420, )": 213847077814364959620618689284156308308,
+      "(419, )": 301963109234488219225325411695528431176,
+      "(418, )": 142445144641188869013561649444761773594,
+      "(417, )": 327586862048307731115415194150731394450,
+      "(416, )": 272376532309912010065408557454171503251,
+      "(415, )": 185973012054262471449814863116686785056,
+      "(414, )": 262964103403213342622112261573457138827,
+      "(413, )": 146290005613090870012473748380231850753,
+      "(412, )": 56303885539055160848300484988550228974,
+      "(411, )": 333562722813401640101596406354852585620,
+      "(410, )": 235148570567944996746039107624091955747,
+      "(409, )": 41393170909955506026232732971622861184,
+      "(408, )": 63413117717684753646768717524553451868,
+      "(407, )": 107976081242114324264908973696825563872,
+      "(406, )": 14202008571489982110582297357361445421,
+      "(405, )": 145587211802351290421216675037319750324,
+      "(404, )": 119591548141022064657984141234857404996,
+      "(403, )": 191296977171299053949529654508561863636,
+      "(402, )": 174417341429655887445754612203640100094,
+      "(401, )": 130147058822586892633439673761690971876,
+      "(400, )": 168649173072565927025228844545805928937,
+      "(399, )": 24284290393331064466349364921333227450,
+      "(398, )": 326689030046966179294090309774332684729,
+      "(397, )": 253454171712156501293158273942654984982,
+      "(396, )": 2377564135650784239731885354448370314,
+      "(395, )": 266946719784124013108802285620338595588,
+      "(394, )": 198038095484422492233132035142816231324,
+      "(393, )": 322754405494530684447473983660907223523,
+      "(392, )": 134735236013828689669783344861934666613,
+      "(391, )": 28993671125729325173659240067668932758,
+      "(390, )": 210414684507736204127172002492286362435,
+      "(389, )": 128292972085545059915021611868095008525,
+      "(388, )": 154294474791779794351921114336902507332,
+      "(387, )": 293638412369158419952600069079428070631,
+      "(386, )": 15937170635697155843421759986482269349,
+      "(385, )": 254556806205834611498245593556508856349,
+      "(384, )": 106682839681744230138142869149594605744,
+      "(383, )": 337943938460632327044816057116099049622,
+      "(382, )": 331609468588999374830320006211796187798,
+      "(381, )": 117579206076478060658278584032868896729,
+      "(380, )": 11443394716770489019879137007692664899,
+      "(379, )": 303135506971633991042615404238108774106,
+      "(378, )": 208510295416554701524381039198388799805,
+      "(377, )": 109487310941930016575272627881419383934,
+      "(376, )": 119156583731204455826024510875480593997,
+      "(375, )": 137774341493838036431893685183253746601,
+      "(374, )": 165433541951145498207226457398777769198,
+      "(373, )": 271088806339047508848043870357027007614,
+      "(372, )": 17762796589534617769710665713177840068,
+      "(371, )": 96390389702357371564869148251081920976,
+      "(370, )": 158752633248117234893337683528667126941,
+      "(369, )": 232610581771572299282056823559505701856,
+      "(368, )": 132443924448906020019465287028487368325,
+      "(367, )": 130718528882110797421724471162040858869,
+      "(366, )": 250667224314238998743937062726538093014,
+      "(365, )": 86091785757609782501334114312911182592,
+      "(364, )": 333855312884459020774564449386569472981,
+      "(363, )": 219336857361305061072572349936345758137,
+      "(362, )": 339321972032800035442104120130694853714,
+      "(361, )": 117688460350761414110080839606608812091,
+      "(360, )": 10305998390280874116638184880217185934,
+      "(359, )": 112428680577179613052971663542897078207,
+      "(358, )": 142807399134714191572173344334236973269,
+      "(357, )": 163688402059398261484897656845157841365,
+      "(356, )": 285478028132761619953175014238074755983,
+      "(355, )": 184268815268580435040773191309599858816,
+      "(354, )": 52940337960788099324118751017968384589,
+      "(353, )": 234925443340083138487935803852969609268,
+      "(352, )": 103202033462272873563809651975746877332,
+      "(351, )": 122417750132724102881819625216481220278,
+      "(350, )": 36291872418828397993920867899551653754,
+      "(349, )": 225911899488326820146377927228375380475,
+      "(348, )": 231209822301227773724655991503365677112,
+      "(347, )": 154613288723197989710294465073059415351,
+      "(346, )": 317154941611151795644647289466125108516,
+      "(345, )": 35134344409855494521532234124586436029,
+      "(344, )": 18318239337787000274845161034286523344,
+      "(343, )": 263030184889358333679156807800992365763,
+      "(342, )": 239233917129296608365988828518443883955,
+      "(341, )": 245759100370003206102043147724251463812,
+      "(340, )": 131664244334700997594755034850428092520,
+      "(339, )": 73646504382319380782633661107221898542,
+      "(338, )": 117871760754826501971048585481472894081,
+      "(337, )": 57780194985122501082000345293170897504,
+      "(336, )": 55618947435831685549398775134529344013,
+      "(335, )": 256526002354306834146777083253494695606,
+      "(334, )": 156396395661307658011468137161398923274,
+      "(333, )": 40499396482412728600678402400219405867,
+      "(332, )": 8618851443185748762470646085401555453,
+      "(331, )": 101119930000666808830737425694658611542,
+      "(330, )": 147441382500553470814308140925047585872,
+      "(329, )": 237349408386789139465038840577749324622,
+      "(328, )": 129931439177416879029264629085412967406,
+      "(327, )": 46031949832238926021858740668844782615,
+      "(326, )": 204376523475693267104334187208753245236,
+      "(325, )": 245485944385965646389021304491312692908,
+      "(324, )": 161341455731438424590650401623491874705,
+      "(323, )": 318837270671128640744903513975087529250,
+      "(322, )": 173361319083376533046790005046710234887,
+      "(321, )": 210008900362286193035247194444010106071,
+      "(320, )": 239745008473263324476607387370455605651,
+      "(319, )": 331725036142064444330064940141863545304,
+      "(318, )": 75756305036865478074469353065287909215,
+      "(317, )": 94617616681351920531854375980784302447,
+      "(316, )": 11044898908781085099625367264609292830,
+      "(315, )": 243272495764694639684762789870792992850,
+      "(314, )": 195814871244278531434328383496929092646,
+      "(313, )": 131262954174303734074569934081885400292,
+      "(312, )": 289711941919466128129391457912447087410,
+      "(311, )": 176833573271385887623529168237585575199,
+      "(310, )": 320614168818864495038930655185925900725,
+      "(309, )": 192882298293840845982761400870831395288,
+      "(308, )": 45224405385678327370890595432527068551,
+      "(307, )": 111071247173430170888252804473123351454,
+      "(306, )": 103792075787720512104131565014551530392,
+      "(305, )": 185169794995380653785533798940598436063,
+      "(304, )": 308599408841508364784356902710706362263,
+      "(303, )": 301084486143133189703018414829528585893,
+      "(302, )": 147246278025768969109897289766423081356,
+      "(301, )": 104659145200821087890231741360122925507,
+      "(300, )": 241887527954030462618204153922473247269,
+      "(299, )": 225118567436612830577702638028033035614,
+      "(298, )": 329850728543791265799120390115341846778,
+      "(297, )": 124329001804718987989270750855983154836,
+      "(296, )": 77494943934880393564492797477955571306,
+      "(295, )": 35844983648460980397312261101400671412,
+      "(294, )": 285539275323895630114837103615522235537,
+      "(293, )": 65319844603627599719466112221441916912,
+      "(292, )": 326668212931717786494280779402870589426,
+      "(291, )": 19196893031895824489520264781189108919,
+      "(290, )": 312567580761706482497863280165700716443,
+      "(289, )": 219211407955099550119115081515206857557,
+      "(288, )": 187382666919641367012948635867316697545,
+      "(287, )": 188792639874882687879814970060940441638,
+      "(286, )": 104957756923069370494274664808512394668,
+      "(285, )": 6229970600772557627622005661235795134,
+      "(284, )": 120984990640582898669120069422112314204,
+      "(283, )": 83008022858463538496098504623520990054,
+      "(282, )": 186486862218848904516874316756959990019,
+      "(281, )": 161761762385015609470541514966054031892,
+      "(280, )": 93687743656189326463782473151958161042,
+      "(279, )": 229837813728569029516886921977700292341,
+      "(278, )": 243121785684739209623364533526656383563,
+      "(277, )": 66335528926735779057043836343188205468,
+      "(276, )": 95148252763381049972162179412452887888,
+      "(275, )": 100569597192190476458102758148771883029,
+      "(274, )": 249103191625782863113515022864853602809,
+      "(273, )": 261924318498154198383397389529424662770,
+      "(272, )": 63740731308446457073493590404384208186,
+      "(271, )": 242786502504464173990994718604001547371,
+      "(270, )": 178278624240702538270490407401404653958,
+      "(269, )": 279865702387241398115874657224365380676,
+      "(268, )": 174537669878927887162859319092305982672,
+      "(267, )": 87232855049292505455894293008042261704,
+      "(266, )": 191017856832484695560511861959295196156,
+      "(265, )": 139847865583383581760015528696201932061,
+      "(264, )": 128688000514920428908649192211411082688,
+      "(263, )": 247281474963512755638914096851400554890,
+      "(262, )": 221435214144339981041078172650409422290,
+      "(261, )": 244241660848945214666251475509059431210,
+      "(260, )": 308408741860281681991194536282307897754,
+      "(259, )": 136393741124551059805626255769344527247,
+      "(258, )": 46805288958965070745765921644811012731,
+      "(257, )": 226209005273482670725479525178980654281,
+      "(256, )": 302845603689940847947396737732062052366,
+      "(255, )": 225697754817650995926889942027583962553,
+      "(254, )": 336357005383311103344651633881649733102,
+      "(253, )": 278453258633105061254331842586691493794,
+      "(252, )": 197917881895763148757602470505147772564,
+      "(251, )": 32963044278178100002928971415239102619,
+      "(250, )": 169405515805487465541858077176078892593,
+      "(249, )": 54239763060729779687622681371960887919,
+      "(248, )": 13580036187058208789514932133314080949,
+      "(247, )": 204874968039980489621036226018268892222,
+      "(246, )": 44748315624751184341607925000092044722,
+      "(245, )": 202099559385412234257348154207717789255,
+      "(244, )": 300427428706225712262133286003997098296,
+      "(243, )": 171195113001299024495192603719779610176,
+      "(242, )": 44751574993773033753351494040154613039,
+      "(241, )": 236740128449651842267469028893053899807,
+      "(240, )": 243827045965232143328755833335267105220,
+      "(239, )": 165575333559622408970448065516488248784,
+      "(238, )": 315707792911137181918942599619199567584,
+      "(237, )": 111784066211592730387397929063424341989,
+      "(236, )": 46025156782724558035637993768706387790,
+      "(235, )": 278180811767935363293622462360102154858,
+      "(234, )": 216983454093124266791205574366784771542,
+      "(233, )": 70634060337761702788544976853841702984,
+      "(232, )": 237465165779370751553121026679974258857,
+      "(231, )": 277003368019691372353352545972135455190,
+      "(230, )": 158215812991267889714235198089381240863,
+      "(229, )": 37058883453036728383368447233498907395,
+      "(228, )": 159415030378147572005595509098851486683,
+      "(227, )": 104715581993305072535674812704703191622,
+      "(226, )": 130194725305907925895509998130707395655,
+      "(225, )": 54170119604911522747043688691134898977,
+      "(224, )": 271710272810585935398666491072396821427,
+      "(223, )": 154832519654847823248190540113164900416,
+      "(222, )": 31683726362235972683174906632109423596,
+      "(221, )": 281828970789222666498055138417545985614,
+      "(220, )": 231595016585561851889956460296025080,
+      "(219, )": 324222189460329266485490747727443463561,
+      "(218, )": 91247293668902012672950649839499052753,
+      "(217, )": 31407509602119338590075279226429413488,
+      "(216, )": 170611989430027210602805170003417329137,
+      "(215, )": 107604900277664217869353369547731865860,
+      "(214, )": 326451504732837904467096217284817147077,
+      "(213, )": 170917583423849892922724428116760250251,
+      "(212, )": 160626311783467723825429999844649576812,
+      "(211, )": 183848220517598196190234822178021439891,
+      "(210, )": 309782572134890608815530179046787660890,
+      "(209, )": 220263089198665719161846823840315394233,
+      "(208, )": 8644806525413275781945145107206123182,
+      "(207, )": 20851910290006859057512892503690382688,
+      "(206, )": 218684336470313469266194008793666914136,
+      "(205, )": 149861304045318257927240767216653109923,
+      "(204, )": 56084453613460202979828566519060213234,
+      "(203, )": 124328105791369544330306492914766381989,
+      "(202, )": 184210113942090198015083409618448379980,
+      "(201, )": 22584189839794165620840178310900471574,
+      "(200, )": 324447507136149006018478178445553809239,
+      "(199, )": 57412380321424742937141375961962411738,
+      "(198, )": 58157607670498218595035852083829220560,
+      "(197, )": 43904907699849846215617735053641735705,
+      "(196, )": 52238169114326661567509924248011149410,
+      "(195, )": 178962017195674465389997270669587738441,
+      "(194, )": 320085271054247591671020176920682220953,
+      "(193, )": 182572755577066666778948292840520690042,
+      "(192, )": 98340301400655714154217580186521202073,
+      "(191, )": 133321425498751528586508407694382757009,
+      "(190, )": 62914336972736509070965737361371652919,
+      "(189, )": 15251451368642550114421013127010303367,
+      "(188, )": 207552468437509785817274380848657641677,
+      "(187, )": 38264363837323908509857489769894231366,
+      "(186, )": 209680564959616147168177856599876393663,
+      "(185, )": 4187331146218846817744559160572463157,
+      "(184, )": 91598091373307760032202631639451784568,
+      "(183, )": 71242792181361944088984414617376427901,
+      "(182, )": 291394576189965198124342542979308671250,
+      "(181, )": 325915934401867240099937935691174572810,
+      "(180, )": 79915098167806909060933744665002793053,
+      "(179, )": 133249317771536310979833721115464552843,
+      "(178, )": 188599866277146255706193730810586587453,
+      "(177, )": 134721706216780043764173406746876154192,
+      "(176, )": 253581166559489775313533464468798072751,
+      "(175, )": 332416082530597894132715331643798797534,
+      "(174, )": 100751931061353586424970537764057405492,
+      "(173, )": 69441494541392728304319123269674460311,
+      "(172, )": 271400883502314307079168546996437365202,
+      "(171, )": 272016239058438978264979961031067458281,
+      "(170, )": 240308319781137078202533474877609945469,
+      "(169, )": 330320008613089596908014436059842158620,
+      "(168, )": 3241449527094841056662891294281882744,
+      "(167, )": 60466715981548127800230137891093041246,
+      "(166, )": 227169035601680143073433411370215069287,
+      "(165, )": 293225105724477005256419568907987565660,
+      "(164, )": 115389618877503150921977826305862742009,
+      "(163, )": 311906595383266871426971958379505069046,
+      "(162, )": 75958486306231516233680921380398052605,
+      "(161, )": 261565437930143737093915650403627026281,
+      "(160, )": 220367267951525163129942168245151517620,
+      "(159, )": 6853180945661662986442678721110188588,
+      "(158, )": 303270289825012805239198355475327269145,
+      "(157, )": 271690786488530729356250573014707458957,
+      "(156, )": 79384069775347411502534173349810701716,
+      "(155, )": 125738695753625404475409200711868887171,
+      "(154, )": 265731054705676209532536849960434164662,
+      "(153, )": 182820635343102126152946344453947245508,
+      "(152, )": 74534267367059142658245734891314529588,
+      "(151, )": 114912469964451862360526526759339672374,
+      "(150, )": 151516749560799125436838515198355262860,
+      "(149, )": 301361015759271037783324519455560025348,
+      "(148, )": 235694758047571370940312077469819556081,
+      "(147, )": 226861968722301633755882605680516328753,
+      "(146, )": 41049804028156940592595912282297221131,
+      "(145, )": 305299637533178699370660159974543702304,
+      "(144, )": 130145661368107556171825423636491067294,
+      "(143, )": 230015703871707359639818574204272225754,
+      "(142, )": 330314391516603166716764360206977938488,
+      "(141, )": 23900714190716775402005751607003786957,
+      "(140, )": 336147636104052615279694709479075489503,
+      "(139, )": 245109870408212582318057482988638313633,
+      "(138, )": 300670052615479835072538431558676146909,
+      "(137, )": 19228793548802218875404534870961194813,
+      "(136, )": 63023175247052200544506229746302842549,
+      "(135, )": 133275478373540124529441268300065824448,
+      "(134, )": 305074381152628659733278422377514738460,
+      "(133, )": 100262470415968315196956576405141812020,
+      "(132, )": 192021641481122999950115170210430821305,
+      "(131, )": 18305314625597843152301379073032460852,
+      "(130, )": 243000406168917118996021303903399118802,
+      "(129, )": 134701535946144018518280686142681894738,
+      "(128, )": 122396627172813488737603531878221966864,
+      "(127, )": 11739746199354246218349038154305551295,
+      "(126, )": 102150936510735672662504313050456552115,
+      "(125, )": 308475869111634760665726879262287224783,
+      "(124, )": 58134697884515267612102547730513199554,
+      "(123, )": 232459068252094978730041099443975747119,
+      "(122, )": 252484985015697093096599542850753444303,
+      "(121, )": 49596962725529252908372217419205748135,
+      "(120, )": 30901114625862507431026994987259563195,
+      "(119, )": 236039137683024734342372783770425456438,
+      "(118, )": 234831851350407853468840648852408827306,
+      "(117, )": 174635163864205022112742787366310978420,
+      "(116, )": 154698751164617972108452545867725755058,
+      "(115, )": 123570329296187999463185705610913914580,
+      "(114, )": 55813035634587949683256788070630575560,
+      "(113, )": 284390112999300439109615753472556498057,
+      "(112, )": 91431639600807753964968027258040190788,
+      "(111, )": 286791145872526646350271481414524618531,
+      "(110, )": 317968175946948298118869564181190202055,
+      "(109, )": 315363589365915304060936877502578182230,
+      "(108, )": 325066570254460407460578006121017006021,
+      "(107, )": 66126495439077092589305089224956466094,
+      "(106, )": 329785625469704754061121719895926064193,
+      "(105, )": 287209560053824675765265991467341672836,
+      "(104, )": 23883590460834210903620433761270176699,
+      "(103, )": 230691474556566263314398473395696987030,
+      "(102, )": 281121911936210030332093104492202236992,
+      "(101, )": 229493211210843637293851400465946780778,
+      "(100, )": 8346048265596523956895990721378566211,
+      "(99, )": 312075734021763297478529394319707414887,
+      "(98, )": 70290669087917785710193171288526747855,
+      "(97, )": 36869690097405253736171970707808378673,
+      "(96, )": 197937440433595781378574674005968937776,
+      "(95, )": 87871135273153054701213321873215834368,
+      "(94, )": 66783672985478748617592338679887064903,
+      "(93, )": 151644456000674461306552632059295414898,
+      "(92, )": 229019938655506334294384503287381219823,
+      "(91, )": 99500390603452290107810077626861412168,
+      "(90, )": 293995183402692093260777158295021934888,
+      "(89, )": 231630855415824631088282056088029975615,
+      "(88, )": 315190528120149793068907513889130985259,
+      "(87, )": 39391448992147121885410105601462357673,
+      "(86, )": 293543452321522390777942015401898792359,
+      "(85, )": 24649375785611773263400926339478405265,
+      "(84, )": 240872318316709102176547063970097656380,
+      "(83, )": 183526711810047906880212068769733982387,
+      "(82, )": 257842308783317664301796828412346798588,
+      "(81, )": 49936107297292562551428406631513305627,
+      "(80, )": 45803140569212523317150252144644536287,
+      "(79, )": 7192925833597238534107355535199528934,
+      "(78, )": 256539443295052386221023848110791745723,
+      "(77, )": 155855054542096679150442633582062388577,
+      "(76, )": 10041787447488811741365481228736034281,
+      "(75, )": 118160228434263396147226334693169604240,
+      "(74, )": 38454605073052271158865970607098256918,
+      "(73, )": 252747625306539655963403167351100215110,
+      "(72, )": 76939491704717040651005055987507199913,
+      "(71, )": 225784265425754518495709634519051300999,
+      "(70, )": 197734196780618870057576060931213255234,
+      "(69, )": 22747119250934703255984259947161324870,
+      "(68, )": 237173259761459602737429439508516467112,
+      "(67, )": 149369914969347277594026488746590773357,
+      "(66, )": 145195311692643050980810218131847354089,
+      "(65, )": 93590407234288848990639441682021852956,
+      "(64, )": 247841952276313769825332521912751503047,
+      "(63, )": 54118901191443517070250548601985486436,
+      "(62, )": 47311103561763719008669247508971692965,
+      "(61, )": 215266983154379865521844494370287411314,
+      "(60, )": 199106775683283638727996368737815019188,
+      "(59, )": 63490807678296155582533323541121320095,
+      "(58, )": 40898500300775358933769952246472783782,
+      "(57, )": 7976201031532205306764376276468645521,
+      "(56, )": 128530894014297823266271104137203298687,
+      "(55, )": 153106156430977315312735022072603264095,
+      "(54, )": 291895594882496017353313380337427848815,
+      "(53, )": 125697265352495285228623498159810750877,
+      "(52, )": 156243545491951426973703036633345820039,
+      "(51, )": 166494512657545519707143097858645517794,
+      "(50, )": 17545649806805731680077542435328506984,
+      "(49, )": 84735514026036113309500934112610523362,
+      "(48, )": 54102418773983135702139135790814874073,
+      "(47, )": 223692601971635651076392348159416778571,
+      "(46, )": 272017522321897354081420307459003408082,
+      "(45, )": 119792452862595991836058891383644038795,
+      "(44, )": 142778975650728600005787188201629980433,
+      "(43, )": 290150048237463918590108203072939758405,
+      "(42, )": 148935513386187933767745198950767142523,
+      "(41, )": 9917809338260230480142131022184957022,
+      "(40, )": 327281863414046186981573673451635787306,
+      "(39, )": 54663296408720004394329886166435829596,
+      "(38, )": 239981330431249426842251214174379349613,
+      "(37, )": 337758229505096600956098524083493616709,
+      "(36, )": 252634475326521176838015794204553418925,
+      "(35, )": 31180251655522266557613296112312187757,
+      "(34, )": 44079208540206236827908778910962352366,
+      "(33, )": 250682759863906069336928902386107939839,
+      "(32, )": 66797797301445974619075052834166831077,
+      "(31, )": 169145615393683883086475628860701165529,
+      "(30, )": 338905684537211254788320184589077887822,
+      "(29, )": 52498502841622213057752195005332242647,
+      "(28, )": 178851689722118100523214706273592043422,
+      "(27, )": 71825342766230310105294482794310692907,
+      "(26, )": 289677341163612207715399265601872561069,
+      "(25, )": 236925198040579678942027946678869537085,
+      "(24, )": 134386226684684609227819392532162924850,
+      "(23, )": 221317458244257588945118479162062685686,
+      "(22, )": 60171929941764286196853012566006379292,
+      "(21, )": 279780359405134602453895310152504434924,
+      "(20, )": 135358445324866239900741527677260184456,
+      "(19, )": 294071560303592335124053797293279019957,
+      "(18, )": 74480744387788368558713000359402319189,
+      "(17, )": 76905125543079288351688363666309805436,
+      "(16, )": 221371062063899680105868913092053746514,
+      "(15, )": 63636281792073537233418192461060847798,
+      "(14, )": 25616638684508438553576354564618806069,
+      "(13, )": 217248264406182827770023658413224008213,
+      "(12, )": 325988819566852583032623155289226176825,
+      "(11, )": 32072119334060785804543679374811818803,
+      "(10, )": 275254141688470716649115782553925027803,
+      "(9, )": 182001442802124581848922700380200301420,
+      "(8, )": 13711710171648406044770139180866270306,
+      "(7, )": 324184189548634070784091701105955757710,
+      "(6, )": 288280673788849802995512341414972719795,
+      "(5, )": 17000327112279048912052162119381327572,
+      "(4, )": 254619592230160421754477147800808719354,
+      "(3, )": 156051637888178851935664257174652066283,
+      "(2, )": 179439419374757651990488155747802832596,
+      "(1, )": 159543934916531652563571025206865012651,
+      "(0, )": 74326875737871892797207286624209954525
+    },
+    {
+      "(440, )": 441,
+      "(438, )": 340282366762482138434845932244671637195,
+      "(437, )": 94272837787031781331747290627616492722,
+      "(436, )": 13800464370,
+      "(435, )": 80183708130810209828183058111183103334,
+      "(434, )": 95979575679762141691763754227747012385,
+      "(433, )": 2197279286266752937146945672797658906,
+      "(432, )": 238864491711088835977212132385584529510,
+      "(431, )": 185896658498438514841098887978414249667,
+      "(430, )": 331204208423123859927332123384656963116,
+      "(429, )": 192370308558257330350805288120538544601,
+      "(428, )": 188443932400177892899721689372254242823,
+      "(427, )": 327000200753412403693709196529238381398,
+      "(426, )": 52669826392758677331713790720879848419,
+      "(425, )": 60223222768282137267521160890685871813,
+      "(424, )": 279047939290236800397671594088004741051,
+      "(423, )": 22415020479219493287084117258096423294,
+      "(422, )": 330909592891290307157457066689154514282,
+      "(421, )": 71495011805856441408059042593976758788,
+      "(420, )": 84989231052644057890551155454525852727,
+      "(419, )": 13885865452288773361634391676682642072,
+      "(418, )": 239896591135433963774251897918870925568,
+      "(417, )": 97891743064069256852251910450888911444,
+      "(416, )": 248364318592807402398477459046814257114,
+      "(415, )": 295797569104589359093831826301865552383,
+      "(414, )": 229023336235800126264174541664940494381,
+      "(413, )": 279017966173064319071116933994619335571,
+      "(412, )": 285201709617599199017960463062428566275,
+      "(411, )": 182213436091222239770640619867063802377,
+      "(410, )": 93728292658922224041473115608203480663,
+      "(409, )": 143931851940060773994973722706347372323,
+      "(408, )": 160658650402142065252249079615650646817,
+      "(407, )": 328768420252122945269644243164842519762,
+      "(406, )": 261526008923442987682234429966671564656,
+      "(405, )": 13871811548450637435144991697765957862,
+      "(404, )": 299270881850333289106150866086162981711,
+      "(403, )": 137931124864937287765071758458770463989,
+      "(402, )": 197152747558309808689194521372782762072,
+      "(401, )": 304925729469799544149570020243706325407,
+      "(400, )": 137042430964782293626954208434206973741,
+      "(399, )": 31623065089666680612466757407058601332,
+      "(398, )": 10863110884990861474467734377825742175,
+      "(397, )": 234596043637945836127810503802331767302,
+      "(396, )": 224433532288653678408001485562108894289,
+      "(395, )": 110158615469299247677808345589999829509,
+      "(394, )": 43246352286967117549421241439910919959,
+      "(393, )": 146146004660080502362121913150825386431,
+      "(392, )": 296027356893580543662038661173991602538,
+      "(391, )": 139520646425289805873111897559608956570,
+      "(390, )": 138836591301560746823299082964226073554,
+      "(389, )": 220706461737147399951534432277440710958,
+      "(388, )": 243644293873637008138318810886241018149,
+      "(387, )": 21327404773200099251481426375896877517,
+      "(386, )": 228765725278783452810619032086959992495,
+      "(385, )": 45400733021642170856606162569729478850,
+      "(384, )": 28111254208161794610821662595565908571,
+      "(383, )": 199425422065514229658783719593560423377,
+      "(382, )": 328855789097884856961950643799297146141,
+      "(381, )": 303009802944481282243667117987393539136,
+      "(380, )": 83219995127753710764954466780452280263,
+      "(379, )": 90419400541837135719645623871244841991,
+      "(378, )": 12734501215599496551337332312947600350,
+      "(377, )": 304943044039727756579093519202524743804,
+      "(376, )": 181004532800595836372120969155542605811,
+      "(375, )": 151170616937984737753563203069379334407,
+      "(374, )": 27450509466894929208763189733712418052,
+      "(373, )": 232064547010873332996330979060689947817,
+      "(372, )": 76187668756519126780340548088084166932,
+      "(371, )": 301451228240293143283969288589576609705,
+      "(370, )": 17235844556528369133472880813678545208,
+      "(369, )": 230627988485740964374420228272772986880,
+      "(368, )": 147354599574027222632955913276146749626,
+      "(367, )": 331859182382687509317114675428976910341,
+      "(366, )": 144918777717342776200416161840797191069,
+      "(365, )": 126582524340649727184123430605397661793,
+      "(364, )": 194371840788833317159057216973730845803,
+      "(363, )": 20747218524365988817030033245777687082,
+      "(362, )": 148120041161755287492598283597626956729,
+      "(361, )": 331484832153113028294405158066211329588,
+      "(360, )": 44027391064181966547475345759389636088,
+      "(359, )": 18699638571386156428354271454589705724,
+      "(358, )": 304869373632422273392867790390982443239,
+      "(357, )": 290185054150202654164132579786976634885,
+      "(356, )": 128067454816841772137253729659167152793,
+      "(355, )": 293284951370547541640104166929673139503,
+      "(354, )": 173389543965837169219023935245833471399,
+      "(353, )": 303149456459484285422340387129560524068,
+      "(352, )": 252898566941611046721050462296279823433,
+      "(351, )": 180409740281931898655537952428966565721,
+      "(350, )": 238565879915572225843265960469609595888,
+      "(349, )": 17108527258838965769641426010581714202,
+      "(348, )": 315148040296915464377458776103621284413,
+      "(347, )": 68490669566724382319221127917200354372,
+      "(346, )": 225038142208166931493925110983152204103,
+      "(345, )": 33690116818266660341391807621811129392,
+      "(344, )": 10003317852741855643216675401591183694,
+      "(343, )": 93671764170962319141291541935865977985,
+      "(342, )": 116692977086549124347424616619392080102,
+      "(341, )": 181172021808293266655024738110807889875,
+      "(340, )": 212759493476786152463631101452540172594,
+      "(339, )": 107325241639333770801611880052202504630,
+      "(338, )": 135758853186147096299628998250896908497,
+      "(337, )": 262091841156642434138200485798765124890,
+      "(336, )": 230416276976566766127167631815227341098,
+      "(335, )": 24749116960613392998513198678683299951,
+      "(334, )": 338292280636594141245582046200236211648,
+      "(333, )": 231414956405351030822934482971251836702,
+      "(332, )": 53431738836370469463170755581300038316,
+      "(331, )": 284148176705893078346117906272174429304,
+      "(330, )": 205415968423770035077800968069568189651,
+      "(329, )": 307158229733244442942491047536128264815,
+      "(328, )": 318824090415286717844310634281747196785,
+      "(327, )": 111802376964334753458932856342145663075,
+      "(326, )": 173779832709071680859199743019764272269,
+      "(325, )": 186891156727628186081940065683745948130,
+      "(324, )": 251931642299097552432038874081065824457,
+      "(323, )": 142865820392824797790490219146666866177,
+      "(322, )": 163785835759660002457349217174980615656,
+      "(321, )": 195545322513751876172958809377107605404,
+      "(320, )": 40670982237589493916211279080876808254,
+      "(319, )": 93039193949362884594189174115105458595,
+      "(318, )": 337195670321378563952634248918250846188,
+      "(317, )": 129042041998944529626688774087331454518,
+      "(316, )": 60994022708869068531784724120421165183,
+      "(315, )": 257033564848824175272223925462873989976,
+      "(314, )": 330239112532282415437316223193494278022,
+      "(313, )": 35584315633058775768817602351109263869,
+      "(312, )": 311619183749976783519819547629238564954,
+      "(311, )": 241831574459927375261321325504334002906,
+      "(310, )": 63446102399920058097005737577364419825,
+      "(309, )": 5576167144405259205017479417245368972,
+      "(308, )": 149231124472184104675340321551108913373,
+      "(307, )": 199724326683710004384958278799203645033,
+      "(306, )": 72602564659014749889862634191296367366,
+      "(305, )": 287173835930379170338055381738897421813,
+      "(304, )": 41426263615035975808486016703434164715,
+      "(303, )": 85352586933158148295966359121125025410,
+      "(302, )": 291215847684405529391555892052079147931,
+      "(301, )": 286606629133094937317678850656395010367,
+      "(300, )": 305629227241006987264628432922496153378,
+      "(299, )": 198299257444381655409124301775194544606,
+      "(298, )": 73504860181207758809556429336418328580,
+      "(297, )": 271116686648286410656785087992696812332,
+      "(296, )": 331594532374244949831354622392391594609,
+      "(295, )": 193553438574791215706004868866938234197,
+      "(294, )": 339173912432962623614772069539930201607,
+      "(293, )": 281732680609534700880156705334368068676,
+      "(292, )": 282172274409038078833623556065237229442,
+      "(291, )": 321236953017197727050957135432126854061,
+      "(290, )": 276921899786883197139718298551655927610,
+      "(289, )": 43223554258981284990953806949002657823,
+      "(288, )": 61010755788119680204803025653795212939,
+      "(287, )": 161500287406837046168070960490367399997,
+      "(286, )": 137531064011899887593019183422977368128,
+      "(285, )": 225762971652215331536039873911153978675,
+      "(284, )": 91529027268066032522006674412453020176,
+      "(283, )": 262144073032506017632134589206291945600,
+      "(282, )": 144863332189945386942788857078523903370,
+      "(281, )": 5645122840705188172781146284471867226,
+      "(280, )": 189780058696547012573922033814390090188,
+      "(279, )": 86959071530190470003309872978417599401,
+      "(278, )": 256678558175444502729788771434476826918,
+      "(277, )": 128274242389455987868567714351985194860,
+      "(276, )": 224638107774902804590679059453820009218,
+      "(275, )": 51250584244998318255570657306518708212,
+      "(274, )": 88562310885339435869117416255438323791,
+      "(273, )": 266320616358849843178360620339939460133,
+      "(272, )": 233569740854655600196574576427735277503,
+      "(271, )": 182512720209000375749127637656664117390,
+      "(270, )": 198676233587504701944947476935596851770,
+      "(269, )": 205430107917634213955001454051324435031,
+      "(268, )": 336726218514473695397305278150921747573,
+      "(267, )": 118508325491754017804252961673833601566,
+      "(266, )": 5817338994650765766767875672982229470,
+      "(265, )": 312191545593482092428944292210791246667,
+      "(264, )": 214338771189764691517939541027817406184,
+      "(263, )": 102406807217066212900098469238355237223,
+      "(262, )": 299563178973973493660139959091994451271,
+      "(261, )": 117728163955750874289830057802423933023,
+      "(260, )": 34013777467844118410759704333138493105,
+      "(259, )": 153337844228220380388014425734620207831,
+      "(258, )": 128538628085094653062125280572332728217,
+      "(257, )": 235409187024488044896170572297173409404,
+      "(256, )": 195900898803439846235163095893948922633,
+      "(255, )": 334803832370871131575270994315754697096,
+      "(254, )": 138811592121170099861668236477558515922,
+      "(253, )": 246301063300127828991385628667287464084,
+      "(252, )": 40621610279402530821540036665447047712,
+      "(251, )": 149985837521626550364486629068023502042,
+      "(250, )": 324305676501134992481701464610887793266,
+      "(249, )": 194974483390068162088280100738382226506,
+      "(248, )": 305511594242393980362927228683456177342,
+      "(247, )": 145182317838485316307977923862010820634,
+      "(246, )": 246550530967192389218127127143881614822,
+      "(245, )": 111039152332858471134213548425861154262,
+      "(244, )": 186952412101327885947140724628709810939,
+      "(243, )": 251481374489452682845488731920457391019,
+      "(242, )": 140269157719509800788899520930432404756,
+      "(241, )": 207244301392004691743251713742756568565,
+      "(240, )": 334999046664397618960989358920314455022,
+      "(239, )": 260149620539840459928929234904603514896,
+      "(238, )": 122700932704777848946921393139411296150,
+      "(237, )": 263100329029791925351126370089547734644,
+      "(236, )": 140437198391322221349892775468983672737,
+      "(235, )": 337473425794598221158408707944026603723,
+      "(234, )": 34666751817150387854249175956729252361,
+      "(233, )": 177203178531926941643937140197357204362,
+      "(232, )": 159010593036938644936690496549513112620,
+      "(231, )": 94638689545399892629580475622686259268,
+      "(230, )": 11993516348001315696657183777784864341,
+      "(229, )": 303841714628127487305203173651428071764,
+      "(228, )": 17439690508897507311494362974308312182,
+      "(227, )": 53138397918495276049646244003625300010,
+      "(226, )": 128192571041098635795049369570055636571,
+      "(225, )": 217991474631158201296623495582108950945,
+      "(224, )": 147854234330877566548529674620066728144,
+      "(223, )": 246367154988429153565052679509242154851,
+      "(222, )": 89470268405558711021722594105318799506,
+      "(221, )": 288667415132379703365215887051014206321,
+      "(220, )": 50318185115512431144235264871230987581,
+      "(219, )": 91099120565801037014593745018804675105,
+      "(218, )": 338862221439289651043585956755005230028,
+      "(217, )": 125022533821435633371834103463515392296,
+      "(216, )": 273799241806648539902269793571654323213,
+      "(215, )": 155179193110507414082967892859985068351,
+      "(214, )": 264218535952060016254861222999768327765,
+      "(213, )": 274909560349355972131904519040473929541,
+      "(212, )": 223490200311452006732962725712417565436,
+      "(211, )": 302336912876099219840606128270150186423,
+      "(210, )": 15701530930176776307425897885097561345,
+      "(209, )": 11869181897095011518699510336513430922,
+      "(208, )": 105135348771424202648123754077655480798,
+      "(207, )": 29610866513306518065727651315167746816,
+      "(206, )": 50225384560320033160308106611426730639,
+      "(205, )": 245637812400386505098392357684496982922,
+      "(204, )": 306107039260249390518872556520913828618,
+      "(203, )": 79714899008849194794108906378260297338,
+      "(202, )": 48127767028354670277231657101760129701,
+      "(201, )": 265273638532179914104433251928362073281,
+      "(200, )": 32426120593776790703611026267207377011,
+      "(199, )": 268960836840305717133043671175436776972,
+      "(198, )": 232904745369913379296581859438762420617,
+      "(197, )": 273087800308826582781491308322989757546,
+      "(196, )": 174092358488566277910529031766099429195,
+      "(195, )": 33560450555846031257723839033711568330,
+      "(194, )": 116778023869958136066492306174518360059,
+      "(193, )": 263864323502832331351594678784020852614,
+      "(192, )": 41726245417828680857265463960238918480,
+      "(191, )": 314879155946739932038433930805517326663,
+      "(190, )": 320042936143813043858692243949137123169,
+      "(189, )": 282517828152075630435738636246554631767,
+      "(188, )": 302047356785772266870725913001261053300,
+      "(187, )": 307050960177948339369278723426738978345,
+      "(186, )": 19606115762590340916934133609401168245,
+      "(185, )": 239968921648965596288061418858806081389,
+      "(184, )": 286080203825824879205022595803043435544,
+      "(183, )": 277455815107388523678161935704397356354,
+      "(182, )": 289456284251561597077886641947887781452,
+      "(181, )": 236200411360828589866305732835843337641,
+      "(180, )": 200126679513115392395211119863778400122,
+      "(179, )": 233544148966760622210715055770824794065,
+      "(178, )": 66390776772428784424202617604336561472,
+      "(177, )": 137944855099196360529422642560704960423,
+      "(176, )": 188630590367998313084449024415360715295,
+      "(175, )": 26105955154766218618764372550084535399,
+      "(174, )": 43008895139098406296496691379497723795,
+      "(173, )": 65716275928889955415161132026638182181,
+      "(172, )": 148929715511246784980941539198163129757,
+      "(171, )": 147704156298511298825766470184477630775,
+      "(170, )": 18283597095163623578073645746324110388,
+      "(169, )": 273230054581778561356978548312565836980,
+      "(168, )": 227960186836015636916013365019340597250,
+      "(167, )": 11844731582651924992281388506962742502,
+      "(166, )": 304722228023227867937592260503423843340,
+      "(165, )": 324166961835463912650863987671492249354,
+      "(164, )": 230250756268747529439620188458730643713,
+      "(163, )": 192738146868062913663135625832406305020,
+      "(162, )": 150692209824597048930566428231173251396,
+      "(161, )": 332002122322053252569173143433454891798,
+      "(160, )": 190222392044656910895125458320951900950,
+      "(159, )": 215113222317986064898914872780782710019,
+      "(158, )": 186289609815773044041229976275459322742,
+      "(157, )": 14688450978597956577009917270113392736,
+      "(156, )": 219950262739454099594390080651804536199,
+      "(155, )": 70442324067161192679959260817314661738,
+      "(154, )": 14521578992933396717859137096656636597,
+      "(153, )": 187202939647886860147217698008101740872,
+      "(152, )": 318901950570391480781263214668434859336,
+      "(151, )": 269082159585401611459725029027900535156,
+      "(150, )": 177990076861932019743373825976505030671,
+      "(149, )": 126205458538120590030134699318510296328,
+      "(148, )": 133109874930143151746201336168955347259,
+      "(147, )": 144603766829615669034975503515081838075,
+      "(146, )": 294048247211213547987152713054538312874,
+      "(145, )": 58735050718641366981477617083741514109,
+      "(144, )": 32360197257693611858606346951297865006,
+      "(143, )": 312125138692788834112383283484448732882,
+      "(142, )": 211244176819374316665029509940842437069,
+      "(141, )": 47699620654215390082675403983385178451,
+      "(140, )": 321460057871502638958270630237422087771,
+      "(139, )": 97817972562609242634204118164838487735,
+      "(138, )": 150869807292489536509771893657799388575,
+      "(137, )": 91127832664040375657129153785488880032,
+      "(136, )": 6633753825643563997119393292482321956,
+      "(135, )": 302751428530735504023893208725706792355,
+      "(134, )": 190889868132526079146984193292952604994,
+      "(133, )": 43118705798336925513284207456278436957,
+      "(132, )": 194808934351297541809928977538229053654,
+      "(131, )": 112188697735361389008678695298284147441,
+      "(130, )": 10963532341766883988604555961635397869,
+      "(129, )": 97532463226327542510100988098314699508,
+      "(128, )": 254219187159793965666907849606692214777,
+      "(127, )": 302596222256553380902371644916456660484,
+      "(126, )": 164025472903951469359757446392708821852,
+      "(125, )": 114339793729146671846503422976480968929,
+      "(124, )": 257615459008090665967916760316891754290,
+      "(123, )": 262634147631483153626846363409122414587,
+      "(122, )": 303514265406732356721903901235790125307,
+      "(121, )": 289540524047927345574132419821134879813,
+      "(120, )": 241953891345483882103139614550063157848,
+      "(119, )": 34169528629740875492988438001861842862,
+      "(118, )": 134399415526485301460273596687576485534,
+      "(117, )": 21397376181282874526810103072108650496,
+      "(116, )": 189453077708247680341397319814900170084,
+      "(115, )": 327690922917486335668890186183100963242,
+      "(114, )": 203078464493366114281849492911896470553,
+      "(113, )": 235873708567306885389864801084995031060,
+      "(112, )": 333777075148594349357714953750132521111,
+      "(111, )": 163988131174047445340711256735003018479,
+      "(110, )": 83186132694778952707946788337698512737,
+      "(109, )": 199813101146251569234020985083106269154,
+      "(108, )": 169107936005853405474566106246354449622,
+      "(107, )": 134932540588358152593251691040984704431,
+      "(106, )": 121118921195043956045070470595505073990,
+      "(105, )": 123305269160746163422632145429353451137,
+      "(104, )": 179868336583267367308134474806111992930,
+      "(103, )": 114541204054904537686570512993847974226,
+      "(102, )": 197932808728683278204361680389861917202,
+      "(101, )": 104752491972260361450979703271391533027,
+      "(100, )": 88443520317211227850712282722928273446,
+      "(99, )": 216911655648606741916725261803822286537,
+      "(98, )": 169506668489382950009450482051065806467,
+      "(97, )": 34869510953537361796056519525861879454,
+      "(96, )": 66544183879969579249245930183554600114,
+      "(95, )": 336346447311304670206328798125250196249,
+      "(94, )": 237032191002161084677315023075555336605,
+      "(93, )": 287892665035025545637291305563118147034,
+      "(92, )": 240107640913466537167660101611701853927,
+      "(91, )": 209353685187997171195561238880270762817,
+      "(90, )": 7438536877639807236588993445984634571,
+      "(89, )": 41320524485315179503463278973874060163,
+      "(88, )": 91746536211622659618097316391809711755,
+      "(87, )": 63972619298614113945459089316983807943,
+      "(86, )": 984522709974503403977768152357634866,
+      "(85, )": 71402564122835216529594714964809267698,
+      "(84, )": 111116030406692058849844237429371398475,
+      "(83, )": 194946735772834159844832121472346625144,
+      "(82, )": 108487827054913623512251205831110349391,
+      "(81, )": 304123193320099411981373450347306301336,
+      "(80, )": 320723845383538481667162779067238281915,
+      "(79, )": 105686971374844068442886757552282411873,
+      "(78, )": 261631993966157723664829282956396517025,
+      "(77, )": 47529895563658698363365625295606124035,
+      "(76, )": 278865374308950746116406441557441807761,
+      "(75, )": 240426568937586626571237265188788783303,
+      "(74, )": 254536817657888287153003371644389076543,
+      "(73, )": 174267066723157821719104308632655137249,
+      "(72, )": 203679008138183242385336834096299886997,
+      "(71, )": 59607754951118478971851140764244441511,
+      "(70, )": 288326857002692662260116585367342997457,
+      "(69, )": 213182232030686812418663528970408477418,
+      "(68, )": 211424969788048487754094602462654152494,
+      "(67, )": 6148052212015794136874050882436030435,
+      "(66, )": 36447409337381547070666465788420935605,
+      "(65, )": 268101014693254083177845407322127777577,
+      "(64, )": 236329552462300018901741603269631209203,
+      "(63, )": 70889824132317383877924306172635477287,
+      "(62, )": 134931006785290833401228553411642179549,
+      "(61, )": 91805369480546222593315462308070633000,
+      "(60, )": 285049111389301693088784016435037343186,
+      "(59, )": 284355421583204038350508460356499189371,
+      "(58, )": 164099431860615919427595182896829160952,
+      "(57, )": 43004500084810225014403706085469058485,
+      "(56, )": 181366628950560934618904437418648108951,
+      "(55, )": 298965558761706426076647215107753700733,
+      "(54, )": 245665194426593695186858948601959319099,
+      "(53, )": 234687016510352269183632591035888912928,
+      "(52, )": 326915818132144928165847054558321787043,
+      "(51, )": 220507440887040912420443647462853621953,
+      "(50, )": 313683602172495401614021454298380723874,
+      "(49, )": 320420473687847471877199209290837740196,
+      "(48, )": 137088730157715072810765964002548721039,
+      "(47, )": 292566087446004217736838014422415408403,
+      "(46, )": 13851265882638473006092645732188751151,
+      "(45, )": 269561289296377132712057887948699106323,
+      "(44, )": 244993470704932386411122785929399492404,
+      "(43, )": 226634301509318426311657915949961453796,
+      "(42, )": 20148073309556757548395833762314956483,
+      "(41, )": 172941378436426746523897153273163705561,
+      "(40, )": 262931983119369067211454126329459335518,
+      "(39, )": 117183102860347277104972968317774345010,
+      "(38, )": 252954510470541245717152704273472483022,
+      "(37, )": 31814071008674020389358792077809896902,
+      "(36, )": 127654085830845200708143346200828769505,
+      "(35, )": 107939655435687178157310639050911912337,
+      "(34, )": 217754234930238324324837870405351846749,
+      "(33, )": 52615808976052275416021235975355165781,
+      "(32, )": 179998465092732523358052639174061051344,
+      "(31, )": 168287898594547556940802780141616032152,
+      "(30, )": 319733474318367129922154895814648863827,
+      "(29, )": 128545141971115355150550961364385180330,
+      "(28, )": 327857437773299528710766935878990357644,
+      "(27, )": 147614693557171416535889204860182507099,
+      "(26, )": 271532460902211829118507794185121755152,
+      "(25, )": 300499290656897837231817222723760920792,
+      "(24, )": 214971060985098131877399997300663243523,
+      "(23, )": 41959705611205027431816030402444184952,
+      "(22, )": 76689803310003169109155303600056396412,
+      "(21, )": 318328377109345190352573738888873235499,
+      "(20, )": 247352352959260103058030322672277467001,
+      "(19, )": 210037187839704582642352751660479225285,
+      "(18, )": 20369401939280942907126149964685799603,
+      "(17, )": 7010068575083740630499072425493123181,
+      "(16, )": 245804699036556765535761273363457091500,
+      "(15, )": 311955739101991489011923174994266526294,
+      "(14, )": 52881402712572038120353808407988530198,
+      "(13, )": 320763428992920544142893048761918776957,
+      "(12, )": 317888090163202035775447874263956162233,
+      "(11, )": 160593640780900535439106939354897864256,
+      "(10, )": 320370959379109026316093943480983576915,
+      "(9, )": 70910939250118147735728438689984603005,
+      "(8, )": 134372213129697543244486653549126468882,
+      "(7, )": 94206994993471600674804815673240295684,
+      "(6, )": 290162137145063871765267160916706029691,
+      "(5, )": 189896206842760435839703210401323775344,
+      "(4, )": 283066512518775963647185018045792989150,
+      "(3, )": 191644774388994368495732509977025924922,
+      "(2, )": 902050147780858048170417023380844920,
+      "(1, )": 181871219391920767336363464300245387116,
+      "(0, )": 124157886448785963474673161320068328443
+    }
+  ],
+  "my": [
+    {
+      "(0, 1)": -125899823110384709916817034053899382079,
+      "(1, 1)": -20829863361241377950033827753675145008,
+      "(2, 1)": -50717256281754653505345386215503001551,
+      "(3, 1)": 136968133225875897510873910464011096202,
+      "(4, 1)": 76660194237824873028397011243826224139,
+      "(5, 1)": -29332567653680321825369303396788712831,
+      "(6, 1)": 159358857987890770964553097455351492239,
+      "(7, 1)": 81504791307080727910618790248926959881,
+      "(8, 1)": -125365447909893403276130349507649638155,
+      "(9, 1)": 75203138033811964044685154291214648074,
+      "(10, 1)": -36608453784804705011013361466862240651,
+      "(11, 1)": -157825338098648310983029568863403304532,
+      "(12, 1)": -64057237772216003087385593828069438439,
+      "(13, 1)": 110861083993660529555779377668806597938,
+      "(14, 1)": 49070432224218154201558851270994399741,
+      "(15, 1)": -12122101948564836744048155081859593456,
+      "(16, 1)": 1359592210798477496127727872902697725,
+      "(17, 1)": -57716715636214871996750142682686717051,
+      "(18, 1)": -96111370291742147956052805088286175722,
+      "(19, 1)": 166657323983210719661510604848456768153,
+      "(20, 1)": -61552959119587562756566854702005079738,
+      "(21, 1)": 112509960339117413046434074488841036744,
+      "(22, 1)": -60162261927389170938370352989465792488,
+      "(23, 1)": 123419160991938788527567075669046151272,
+      "(24, 1)": 38413185325635240655449254222573493758,
+      "(25, 1)": 293561145634436017079080562221280225,
+      "(26, 1)": -117172681534290964062951461602509799918,
+      "(27, 1)": -43591914884469782330856421747685883350,
+      "(28, 1)": -33781032105501632050939533649141872012,
+      "(29, 1)": -113447169326589023824330308933859933257,
+      "(30, 1)": -164988962077556457333192136445537843057,
+      "(31, 1)": -119846673132724010221072243951909475092,
+      "(32, 1)": -92509849824088865390388496751336193312,
+      "(33, 1)": 147501151850814344252472604158671198136,
+      "(34, 1)": -67151325575383263797278511810173866327,
+      "(35, 1)": -169073344151296557679343636585641418117,
+      "(36, 1)": 131291460285386919603872110664818515962,
+      "(37, 1)": -152611121181265670822681349059527316980,
+      "(38, 1)": -8124938787877948975979169547992997122,
+      "(39, 1)": -102537588503751321880447144004239519477,
+      "(40, 1)": 3820917686604299369177859721936455406,
+      "(41, 1)": -38169491504172777274453273190698254701,
+      "(42, 1)": -49054381979409427112856571083686777301,
+      "(43, 1)": -78750299244725253235717978607652940673,
+      "(44, 1)": -80699098669916402003499409295120656345,
+      "(45, 1)": 149097516355080433239140345529900956089,
+      "(46, 1)": -103718620963289485137457416397570136189,
+      "(47, 1)": -158556589263320740028306706115170916946,
+      "(48, 1)": 123312409658368183799004771803498316992,
+      "(49, 1)": -153529835899622944583596657054209126702,
+      "(50, 1)": -132535011478128176707382978303535410765,
+      "(51, 1)": 47672075800242978164085048691238311898,
+      "(52, 1)": -92351085670068628111520144057061008241,
+      "(53, 1)": 128999957372329962810096199332738592927,
+      "(54, 1)": 66213429377966079219318805455411115378,
+      "(55, 1)": 13642956913007050148987751720088675722,
+      "(56, 1)": 120956004481302134470672355632931994707,
+      "(57, 1)": 38047043049944253939928911936858964711,
+      "(58, 1)": -135512232251351249988484593343903843548,
+      "(59, 1)": -105471813135592171107305755272238154349,
+      "(60, 1)": 166523048220162944020801560878266123024,
+      "(61, 1)": 113542581490980454861983177330982786759,
+      "(62, 1)": 20135323607249786968300433092853365872,
+      "(63, 1)": 31080668714115238014831570494215436699,
+      "(64, 1)": 29187504089278004455619781200280515551,
+      "(65, 1)": -146050119489326261862602691925650914587,
+      "(66, 1)": -82286173831560749643375210648972707993,
+      "(67, 1)": -50840058606514445497735032834552740100,
+      "(68, 1)": 71856277811542977842197850751199188216,
+      "(69, 1)": -139401182261439141207147786360453338572,
+      "(70, 1)": -146974680886062988531880857961657357016,
+      "(71, 1)": -113256766434185825780481802428278061393,
+      "(72, 1)": 95299950850431009535012163205453852638,
+      "(73, 1)": 127795030407073905134867832580003243361,
+      "(74, 1)": 45290923981915161017305356426864568755,
+      "(75, 1)": -162836847191710466511168913109656932536,
+      "(76, 1)": -86886328814683589583663574418514475985,
+      "(77, 1)": 54955643006832915532680796722022877639,
+      "(78, 1)": 103777980174256399871495543778074895210,
+      "(79, 1)": 74698452863142907413226995708600030509,
+      "(80, 1)": -53149679069445561932006042929210885077,
+      "(81, 1)": -36763288043390866779934530179290420962,
+      "(82, 1)": 18227749188205474674702552247581196482,
+      "(83, 1)": 77648570462686380100579538062616198932,
+      "(84, 1)": 66043215754293457312622013900955314136,
+      "(85, 1)": -146156887782202771401715724747488220231,
+      "(86, 1)": 51190692210786060224880521151901349570,
+      "(87, 1)": -118384437982988923916309691763567322677,
+      "(88, 1)": 96666667912128252768474823222631713370,
+      "(89, 1)": 4154731628043907908995372087039514296,
+      "(90, 1)": -1958283289985440879055267683878351560,
+      "(91, 1)": -135655191727998225730047511469988446288,
+      "(92, 1)": -29864635683583436705884202669600988207,
+      "(93, 1)": 158959986148247851410594950472010773055,
+      "(94, 1)": -157506010390178494122070000400296797671,
+      "(95, 1)": -20616913843416718796392728018450563881,
+      "(96, 1)": -120672963360137398597099449487467645588,
+      "(97, 1)": -65180678881085522331485688163831202005,
+      "(98, 1)": 112601231782673613846288481889733304336,
+      "(99, 1)": -96981119584046357503166685104857578974,
+      "(100, 1)": 58038693425773846190826930111824769603,
+      "(101, 1)": -16733374180244274805835059782180261367,
+      "(102, 1)": 81292914154335519532249308080986940375,
+      "(103, 1)": -144153017451097622324523233860067470680,
+      "(104, 1)": -67040043046359455496084913755207961276,
+      "(105, 1)": 140212379642495162037143767838652286185,
+      "(106, 1)": 151741239378602274713545251543883998942,
+      "(107, 1)": 128158651826721683482139055183618469812,
+      "(108, 1)": -119916960949902262337670986964180846947,
+      "(109, 1)": 67298448138732608116925571441772448214,
+      "(110, 1)": 114137873998718610225714277792828269753,
+      "(111, 1)": 160938191473792526865045066549040224109,
+      "(112, 1)": -143869477023873877234195769005199676246,
+      "(113, 1)": -55464414876753413088688883923343419727,
+      "(114, 1)": -67394536534987908185669499425086826250,
+      "(115, 1)": -19468662692880146960292188998489396658,
+      "(116, 1)": -126048279426756942810204379551672448205,
+      "(117, 1)": -146068756888821888920579173137011298075,
+      "(118, 1)": 82088076693060255986040661752107077577,
+      "(119, 1)": 169842445914567910547116280576709840922,
+      "(120, 1)": 78754103372873388653089068898395464363,
+      "(121, 1)": -124765675145924177612682606883234999709,
+      "(122, 1)": 40474526400604368040557382465593544982,
+      "(123, 1)": -136936670910928498144353754695359690106,
+      "(124, 1)": -15744243290867531270167978729630008992,
+      "(125, 1)": -121350460871945937413383521862449919677,
+      "(126, 1)": 151428591486245263450537251249318974572,
+      "(127, 1)": 434979533890396236487720432271463612,
+      "(128, 1)": -7111366466078034485278893742143864173,
+      "(129, 1)": -74447207721669266615547520843171918684,
+      "(130, 1)": -28334874609857944755648838130027714640,
+      "(131, 1)": -142869152396976931774984389422444385891,
+      "(132, 1)": 140412708194038249342750102141860585154,
+      "(133, 1)": -64095325528340354979491515719796794588,
+      "(134, 1)": -163417441115545112567250098685166602950,
+      "(135, 1)": -141607217311012263090143807139065857295,
+      "(136, 1)": 31875858579701800834774254385318999906,
+      "(137, 1)": -113278723397319047151737900461313092382,
+      "(138, 1)": 89750818604859018557632372165021574837,
+      "(139, 1)": 84523628004501475829630788945145118720,
+      "(140, 1)": -107327782003030892073374818945095223682,
+      "(141, 1)": -110349459521594271616362528947455723346,
+      "(142, 1)": -59301867048846761294551186401642659304,
+      "(143, 1)": 57375341728397211332941264726432606079,
+      "(144, 1)": 69608362389625871761620687676337298402,
+      "(145, 1)": -133160184952959787475335326934010802134,
+      "(146, 1)": 19650973480398074877563166337307178074,
+      "(147, 1)": -52492701395034195207215501095694838798,
+      "(148, 1)": 24959251488776864307894162464762808419,
+      "(149, 1)": -166477067887625679695968888655895639766,
+      "(150, 1)": -8050902307224115913176195791669473629,
+      "(151, 1)": 161807572438904938632943909325483541030,
+      "(152, 1)": -65870379267104607150818278153113821185,
+      "(153, 1)": -5474629835437140760565101428342625940,
+      "(154, 1)": -55697306135740080074322562190145346934,
+      "(155, 1)": 23862210858974359341727233830094294498,
+      "(156, 1)": 165155707282372937458989321959544193224,
+      "(157, 1)": -84527720320315718225802107523257302654,
+      "(158, 1)": -158773079264601841620830117880435493700,
+      "(159, 1)": 166721586868453660597254341503389463292,
+      "(160, 1)": -14486275412956225725290936636989342675,
+      "(161, 1)": -91828294940912687142142739170649398544,
+      "(162, 1)": 1045389098320366497103570146828235199,
+      "(163, 1)": -91788704362191522320823481391984655849,
+      "(164, 1)": 73015303693743946240254970821060852212,
+      "(165, 1)": 13845534876421505370366433002280667920,
+      "(166, 1)": 43749785416822822422427511730207376775,
+      "(167, 1)": 19162320336296227198241882720797002975,
+      "(168, 1)": 54515419627999614999101736199571585235,
+      "(169, 1)": -153883371485329315985107716979938704687,
+      "(170, 1)": -164825573829893142123520529703859504984,
+      "(171, 1)": -95721153604517860457124731667043624065,
+      "(172, 1)": 18126956501861726451584440610949818368,
+      "(173, 1)": -130412237563979346026685104795721986092,
+      "(174, 1)": -83684992576066038286308675557816736837,
+      "(175, 1)": -82012365313796771365941326198768895658,
+      "(176, 1)": 156506033241184211365622845392655563150,
+      "(177, 1)": -115693804993966925938566923221113346219,
+      "(178, 1)": -48523471744224818175042519884819616973,
+      "(179, 1)": 136942654881185129655296797704142866726,
+      "(180, 1)": 42530370790636015552493327934737506875,
+      "(181, 1)": 115678510137359171491801895852046393407,
+      "(182, 1)": -17516113066135541554337800360227460643,
+      "(183, 1)": -148386245941823003253064141716125260995,
+      "(184, 1)": -24052732251264228220688017988296644830,
+      "(185, 1)": 21721391188427920989362121390468979415,
+      "(186, 1)": -55633372178073743322343379363267295356,
+      "(187, 1)": 50850501579448893420138849112530057940,
+      "(188, 1)": 122759526030224907399420783280533775959,
+      "(189, 1)": -72240759762078865034757623310438351580,
+      "(190, 1)": -75101564440173707567613006526695377356,
+      "(191, 1)": -94203257323401681270347340939647907560,
+      "(192, 1)": 130244072199098427079101866366079664896,
+      "(193, 1)": -46094298530722877862799444946492770110,
+      "(194, 1)": -89870638603148097200280368538443809376,
+      "(195, 1)": -134057864126833445272486476062580271091,
+      "(196, 1)": -59324047799703923390007788703009320008,
+      "(197, 1)": 94368341094917733944482970458578247544,
+      "(198, 1)": -86318174331865168829902562393359049661,
+      "(199, 1)": 136853519021613409622934689234865626713,
+      "(200, 1)": 126558062045907254173143732563921895304,
+      "(201, 1)": 83184813235904825325797579995410409239,
+      "(202, 1)": -97072869085172857137942536807741720663,
+      "(203, 1)": -39846490828020466536517771552121671958,
+      "(204, 1)": -100669202233238898711446176000051358639,
+      "(205, 1)": 30712180662960566853875136700343714486,
+      "(206, 1)": -79704499605624430146752712076052702257,
+      "(207, 1)": 78897550388803627232348798989212717928,
+      "(208, 1)": -112284207215866442227487695270066555689,
+      "(209, 1)": 159688636228594883417339276433105179007,
+      "(210, 1)": 121661012638810469253440703870580521772,
+      "(211, 1)": 168783531439943812413253820983827548464,
+      "(212, 1)": -63054941274833783949524486548127344732,
+      "(213, 1)": 66197933795669092074609903036729705573,
+      "(214, 1)": -37260193059379314877277065897364942530,
+      "(215, 1)": 42899762562077246813670275212567559913,
+      "(216, 1)": -156350301544343312301360541830491619915,
+      "(217, 1)": 98262560463551675010550071646887899431,
+      "(218, 1)": -41015026488459340558432750634296250234,
+      "(219, 1)": -112681188635427186256382977904958989372,
+      "(220, 1)": -101446964811550987082562637430671340741,
+      "(221, 1)": -36148672259515339574368861657030180005,
+      "(222, 1)": 73567564282601885028567267630922445335,
+      "(223, 1)": -162536316731464531554896759422625368225,
+      "(224, 1)": -12597128295515100894046232200728366676,
+      "(225, 1)": -16762351992765823711270566753141669367,
+      "(226, 1)": -40131107334147130509985239340975865648,
+      "(227, 1)": 26752546558493694446726826503101185111,
+      "(228, 1)": -59317561807509261887657173581973001288,
+      "(229, 1)": 156697419993738463021223799533119056877,
+      "(230, 1)": 29529907594517680588050549497008042162,
+      "(231, 1)": -48286482864312058263753960754352619817,
+      "(232, 1)": 50551160911754637959338132683220245323,
+      "(233, 1)": -157137069439392150302690398344033307868,
+      "(234, 1)": 87449040986596249206995291885091399616,
+      "(235, 1)": -156251065535343549665195118516052106952,
+      "(236, 1)": -96526234645134434828092836177129565885,
+      "(237, 1)": -147609980492758061186424399103660251814,
+      "(238, 1)": 45040455411233734383915610059670407595,
+      "(239, 1)": -164569344087430549150530228619245670020,
+      "(240, 1)": -158131478822499337039380791447179690754,
+      "(241, 1)": -150058580676407741458329249602442501042,
+      "(242, 1)": 150036118618107086809169150535067857729,
+      "(243, 1)": 25967367206387270336444265502670174674,
+      "(244, 1)": -164124237073994871301288563159052266875,
+      "(245, 1)": 144385463590440844105528816170725421943,
+      "(246, 1)": 151548650936307795283917865942848515600,
+      "(247, 1)": 93522334892028102413068518411664882765,
+      "(248, 1)": -158890935845215715532082288940778285357,
+      "(249, 1)": 91469228511663131566459617165140355487,
+      "(250, 1)": -129915568667790712651082756980397265587,
+      "(251, 1)": -50482774051966276100344603680192303647,
+      "(252, 1)": 20928973356097191488009602899798451561,
+      "(253, 1)": -124406931720601719571751654948182802225,
+      "(254, 1)": 23444755749737347631853531908893174519,
+      "(255, 1)": 111011112292980601715167326544924942933,
+      "(256, 1)": -41305838990806416116829701282656477308,
+      "(257, 1)": -167439592569969896789596471872846043575,
+      "(258, 1)": 54458237946988291367137876093558654374,
+      "(259, 1)": -62034218786482447035155610557997338283,
+      "(260, 1)": 21763548275115314459976800356898241583,
+      "(261, 1)": -98700947283510290588220608331443486268,
+      "(262, 1)": 103331648462446720403206471321885706792,
+      "(263, 1)": 83055057143747810499800408212743816088,
+      "(264, 1)": -58690828949470875484536717011178299444,
+      "(265, 1)": 6741766542373330386073460875930662546,
+      "(266, 1)": 110212770142452927273257974801094953504,
+      "(267, 1)": 51208684169220173276403652947592474640,
+      "(268, 1)": -79459380179203884677482914616272606788,
+      "(269, 1)": 148992155588702453712695748373926928816,
+      "(270, 1)": -161266902138141119641004890894566247736,
+      "(271, 1)": -44339510682073213814112452498741580168,
+      "(272, 1)": -41680413755228003252272553475551652131,
+      "(273, 1)": -24104481423313755819451614399459423268,
+      "(274, 1)": 100505858477671909461762628046451163167,
+      "(275, 1)": -83736062391823431543638987159252960228,
+      "(276, 1)": 54710917546370168102512002679073917063,
+      "(277, 1)": 110037339045076304782742365077282550677,
+      "(278, 1)": 127775569740176279106598944505158278924,
+      "(279, 1)": 131133296545726671608167341182211098225,
+      "(280, 1)": 93807626170375222993108788595335660358,
+      "(281, 1)": -135980779244828136457452875268909050327,
+      "(282, 1)": -71565352882208221172242623771169342330,
+      "(283, 1)": -150410466922733905789158799771835297105,
+      "(284, 1)": -17187713456928078600897898774674881542,
+      "(285, 1)": -30541092311623872837281173601491155072,
+      "(286, 1)": -83281892616069728369719695655409177429,
+      "(287, 1)": 20526538290450360846958206475383487513,
+      "(288, 1)": -35370949690292254809980011772025623226,
+      "(289, 1)": 85400979948372923497225257996607464182,
+      "(290, 1)": -59317109835694363388513496372254861923,
+      "(291, 1)": 161862863566128703703744408831468519051,
+      "(292, 1)": -131203091339933409396397258350092568330,
+      "(293, 1)": -80632925695611579902174654487761522761,
+      "(294, 1)": -106558810331092487443579145639407298562,
+      "(295, 1)": -106595663900625796970839174690391698459,
+      "(296, 1)": -101040735579304759634051774331228870800,
+      "(297, 1)": 168655632751179013173656662268690151163,
+      "(298, 1)": -134727467533503376455707988332154596202,
+      "(299, 1)": -98679314351889273606575604443838756849,
+      "(300, 1)": 24497282639593212630758116274315326345,
+      "(301, 1)": 24617220458859146667487692387935927886,
+      "(302, 1)": 129796558094194966947174628686704414731,
+      "(303, 1)": 165758536796322846734273161722556812174,
+      "(304, 1)": -20127226884597544984764058802547728555,
+      "(305, 1)": 83603297204424179314709254902008730780,
+      "(306, 1)": -91411017107065220489422906119793583085,
+      "(307, 1)": -72032277108760753888610775533489813683,
+      "(308, 1)": -150907281371204022028328237239552474090,
+      "(309, 1)": 69633112926091327285591627645030700013,
+      "(310, 1)": -22164327286870947173235253303883729272,
+      "(311, 1)": 7266290394535370437416773425975776200,
+      "(312, 1)": 147179844943491133182253979558376744356,
+      "(313, 1)": -96553345117096107109257340496468748442,
+      "(314, 1)": -19725930775913450241602803642986969296,
+      "(315, 1)": -913160482714007806792792744683864473,
+      "(316, 1)": 95452298060360570717882527221929906837,
+      "(317, 1)": -128460276867795256993256512403103998684,
+      "(318, 1)": 100346856177207859192211455671127261578,
+      "(319, 1)": 93991172720100550687575477258070196432,
+      "(320, 1)": -91300335826908875255767522925133420710,
+      "(321, 1)": -165687072187485099918060815044433615051,
+      "(322, 1)": 118697607799635402993696810683603311019,
+      "(323, 1)": -71038318450318409436258742229787791608,
+      "(324, 1)": -14965429818363573595444728186645980667,
+      "(325, 1)": -87650826043885646746006232681802608805,
+      "(326, 1)": -51806740932180458154513487874411843936,
+      "(327, 1)": 126497204717805836119674433949703948903,
+      "(328, 1)": 53833774911045714587717374052758631053,
+      "(329, 1)": 161390278494575929257465052371131888490,
+      "(330, 1)": -117599663974481301682912021727183837316,
+      "(331, 1)": -156958696413453222210299183239723596445,
+      "(332, 1)": -108464522783186636790874351673304961552,
+      "(333, 1)": -80686621862671018238427240281919271889,
+      "(334, 1)": -129833852935566379474455067525975989621,
+      "(335, 1)": -42963057045209717694279436717221566074,
+      "(336, 1)": -154309229006759225809525610215531463799,
+      "(337, 1)": -109782378956713284231009211897032788991,
+      "(338, 1)": -90017365724315775605802235848612768741,
+      "(339, 1)": -36346955998827831633478893931780379400,
+      "(340, 1)": 46590627626828834462972479697922459020,
+      "(341, 1)": -164539167212441359769616373585325977842,
+      "(342, 1)": 75771181427272680552701139280278995150,
+      "(343, 1)": -81068368459700316517802553443087289781,
+      "(344, 1)": 86276199334152745604793013993972757899,
+      "(345, 1)": -152949450451132655557729509788943431144,
+      "(346, 1)": 168310393960293224059137092563971802972,
+      "(347, 1)": -78264588414872664684979726220342930686,
+      "(348, 1)": 168217500982954079147391314570178509702,
+      "(349, 1)": 128718598816991855998773081432334273125,
+      "(350, 1)": -149161477250525842404701104917105399869,
+      "(351, 1)": 151432053772683899061660952840942746092,
+      "(352, 1)": -155317215607597775659874360328133891513,
+      "(353, 1)": 152798216501348855892304820498330062424,
+      "(354, 1)": -45388580994229545217567135235141975434,
+      "(355, 1)": -67966297873169995218750046477242230704,
+      "(356, 1)": 79244085004682456334701739544579633518,
+      "(357, 1)": -47503190592680453425132835857854495227,
+      "(358, 1)": -14267300915148016589550938154801968121,
+      "(359, 1)": -43377251732869956267966304558780886385,
+      "(360, 1)": 77184906037964454521452131149297078806,
+      "(361, 1)": 1082520427137866753361656650651503557,
+      "(362, 1)": 9787952850566662599795005784389261500,
+      "(363, 1)": -164205115810726266745010038252866834815,
+      "(364, 1)": 56698789171992560439382151201011648190,
+      "(365, 1)": -87700058168218351909273696628048328275,
+      "(366, 1)": 39471056393500243928980470321539965513,
+      "(367, 1)": -151036701769364905857806143070028895908,
+      "(368, 1)": -143326629572397478760803438424691673135,
+      "(369, 1)": -78767689668015362570199004140656411319,
+      "(370, 1)": -129541290480519818861431817537596309242,
+      "(371, 1)": 91291750553667611253091455988290640921,
+      "(372, 1)": 54699985594747148791893728819898938117,
+      "(373, 1)": 113643632245977725783370956902318919904,
+      "(374, 1)": 134456589532019718015529402183328227078,
+      "(375, 1)": -167350078670414237252259923256626160347,
+      "(376, 1)": -125729879377891461665852874247298387023,
+      "(377, 1)": -321315235091087058521524156812376603,
+      "(378, 1)": 124754730745516972491517317077646757211,
+      "(379, 1)": 29584433836736461421142505464151100914,
+      "(380, 1)": -40390958425292457965865169942110940697,
+      "(381, 1)": 136073545197312895282503388618881193006,
+      "(382, 1)": -155498482834477566749436491122449357811,
+      "(383, 1)": -82504512250951664394919017982033198906,
+      "(384, 1)": 31774208681498773950525620519874807455,
+      "(385, 1)": -146483410833699190262386772533312049407,
+      "(386, 1)": 52308942002071498714355728973063079201,
+      "(387, 1)": 87208870131331151747848619420671299095,
+      "(388, 1)": -86081072242756439799008435678702953655,
+      "(389, 1)": -93314864714275069917186129614652315812,
+      "(390, 1)": 158330045702855360103660232603423755597,
+      "(391, 1)": 24580438175636411955863288594088685633,
+      "(392, 1)": -47082418308086498855861185979364317767,
+      "(393, 1)": -38695555949568169614583308779120399361,
+      "(394, 1)": -27934999137833093405167182415569753622,
+      "(395, 1)": -154370599893583405882793235436528782427,
+      "(396, 1)": -165182219990740843181458685349190053391,
+      "(397, 1)": 144328595265862791720744978291243892259,
+      "(398, 1)": 12182002477311017773841291518478124797,
+      "(399, 1)": -134262471699634885976999540848853989518,
+      "(400, 1)": -9256925921968081568659266617106222903,
+      "(401, 1)": 122372366281995316533956797262770322627,
+      "(402, 1)": 79905668027589034379419176207237229336,
+      "(403, 1)": -56863595446920637323153578624906930061,
+      "(404, 1)": -144317271644110012315203505387194694473,
+      "(405, 1)": 64615737639321062323234973759271926583,
+      "(406, 1)": -116539441060160058471528980741493527807,
+      "(407, 1)": 89922525272354145971942081360053519685,
+      "(408, 1)": 47687390247259558863307670141854237594,
+      "(409, 1)": 65145161066808615270171712733534869384,
+      "(410, 1)": 139517528019832211465836396226925128170,
+      "(411, 1)": 135717492315049428492638951987536566349,
+      "(412, 1)": -127222735119693736110993192099538961259,
+      "(413, 1)": 101663377979511048053397966508965060122,
+      "(414, 1)": 7868497976135009661555432085205563384,
+      "(415, 1)": -151616956785949854708950462379231117915,
+      "(416, 1)": 166186774817051696879706677024079717147,
+      "(417, 1)": 89884871059198892989673516413635555627,
+      "(418, 1)": 20920924683959418372591054196411373450,
+      "(419, 1)": 74499207163524283518465648586571592475,
+      "(420, 1)": -26807830470543509136359865110816336663,
+      "(421, 1)": -15883858845963974044389859493709947416,
+      "(422, 1)": 5811128337769015154133211498617534069,
+      "(423, 1)": 137664392916648250406853334936337204707,
+      "(424, 1)": -143972601332876783853685958658966333171,
+      "(425, 1)": -105925805649898952055247021847076522494,
+      "(426, 1)": 165942019156161800326828811836095756641,
+      "(427, 1)": -140793899621626277820101149496962539328,
+      "(428, 1)": 88233196878625682028556442291792263082,
+      "(429, 1)": 81811856398108266674850326503970325764,
+      "(430, 1)": -140101345544981000897388655143967212558,
+      "(431, 1)": 140730300566137019895397074043688573664,
+      "(432, 1)": 101583281028122957146656639170377396030,
+      "(433, 1)": -39662187303436979712637448686877861408,
+      "(434, 1)": -34370239012825166501542517869120665314,
+      "(435, 1)": -893370639835456805148612824774348339,
+      "(436, 1)": -113803119447500536957459329096384366247,
+      "(437, 1)": 692616813070710083560711373231327798,
+      "(438, 1)": 66314773112668968199466163664863571290,
+      "(439, 1)": 70756567417617956571010945854706604894,
+      "(440, 1)": -1031913323835851156378578544126142158,
+      "(441, 1)": 37972791968482540094183440202757773936,
+      "(442, 1)": -35161058920878326281732849761041524460,
+      "(443, 1)": -158280136296053098249864557356795018015,
+      "(444, 1)": -29078240708887863397922853145773478183,
+      "(445, 1)": -42131595742356785953670121065009603103,
+      "(446, 1)": 129742160306833884852258895353111931076,
+      "(447, 1)": 68965545673761089040414061361303859830,
+      "(448, 1)": 119824879169081002546506259412180550448,
+      "(449, 1)": -155366789780035282078231268019217837492,
+      "(450, 1)": -8388802048831311760571637907277724470,
+      "(451, 1)": 24668846429103839766715406304038951693,
+      "(452, 1)": -130590766327670753232192430933196997671,
+      "(453, 1)": 22449804108231293994030442631851259096,
+      "(454, 1)": 4827553698956397294273196420150391963,
+      "(455, 1)": 113308191781631257569160362435355385699,
+      "(456, 1)": -34875560132095689518091218660243346970,
+      "(457, 1)": -106847805320508791083650308924000397487,
+      "(458, 1)": -63329221349116138198617880093067061508,
+      "(459, 1)": -133219430577319167113943261226263974092,
+      "(460, 1)": 53390949315396761847372091069390058401,
+      "(461, 1)": 10710274354971972456927369861994542699,
+      "(462, 1)": -118395212250147521756563641829013627706,
+      "(463, 1)": 53856870385685418074088912742142974409,
+      "(464, 1)": -66984724979535218956449799848378152972,
+      "(465, 1)": 13622052363042670723574942435439474405,
+      "(466, 1)": -148173969536996912668654484066596503908,
+      "(467, 1)": -162310857357480260377755654708115230626,
+      "(468, 1)": 21986174183696231242156996020952563719,
+      "(469, 1)": -77169664114247570106200104113603098858,
+      "(470, 1)": 134538296195689941314160826314170630324,
+      "(471, 1)": 24451273755841684922418252412983756930,
+      "(472, 1)": 140691058551398525203130654945899933515,
+      "(473, 1)": 85419173074476178765489340423067477932,
+      "(474, 1)": 152191700510794356842372343640841528159,
+      "(475, 1)": 610638944037692163935718491871400449,
+      "(476, 1)": -55403055366013565071321043834292676242,
+      "(477, 1)": 3745316706562384876246988768652394998,
+      "(478, 1)": -31423328653136088407989605655980842306,
+      "(479, 1)": -147207366518966658928916414592583743967,
+      "(480, 1)": -116468554930152563822453841953673498776,
+      "(481, 1)": -15205193448593680912439696237011242168,
+      "(482, 1)": -96989183603755166889380909086111794606,
+      "(483, 1)": 44805144207684297735800843613711746480,
+      "(484, 1)": 114646087769372253125379062910428990671,
+      "(485, 1)": -104030705607210892589828900773982999233,
+      "(486, 1)": -122876798469375787181497723996700277834,
+      "(487, 1)": -39664716565705351773000255754542550304,
+      "(488, 1)": -102550992565851977462827139724881265380,
+      "(489, 1)": -71101572682458369630902702997002901077,
+      "(490, 1)": 77923579904063483454661547727252163670,
+      "(491, 1)": -86708171664958221945092610770091712972,
+      "(492, 1)": -124424815503876207487801564955469236111,
+      "(493, 1)": 77241285232465822491147761235603375758,
+      "(494, 1)": -161604801284718875743382795795882714896,
+      "(495, 1)": 28019273313697026463138196644924234188,
+      "(496, 1)": -170043707293617850104316579838417033916,
+      "(497, 1)": -51570134582303148956804367188235348739,
+      "(498, 1)": -18196741429457924307575442062957968438,
+      "(499, 1)": -31551180934650373764087297516590737432,
+      "(500, 1)": -131130749055039290034370211577403980246,
+      "(501, 1)": -102580810524337299216428207702528539451,
+      "(502, 1)": 117896416766630630026274202911843214972,
+      "(503, 1)": 54175433542802665448794444874818666386,
+      "(504, 1)": -36088172645509539970915744027914228537,
+      "(505, 1)": -12713146518712354460384459591803638878,
+      "(506, 1)": 122681359852607296337009254351380084021,
+      "(507, 1)": -73703823920086068792099593019070422801,
+      "(508, 1)": 30600435444403993109547621443356009033,
+      "(509, 1)": 96751188953374944151293635990150065298,
+      "(510, 1)": -120544097098075909174467388954572159452,
+      "(511, 1)": -99465795352392338048833533817306765117,
+      "(512, 1)": -134576045335113654909357267008371803023,
+      "(513, 1)": 13371112045989779932278476268747876797,
+      "(514, 1)": 1143454139157786947942204976582286234,
+      "(515, 1)": 70130283775492459147168849098494347408,
+      "(516, 1)": 66638030720066684194289454242482072458,
+      "(517, 1)": 5243348354499693930217221724538821243,
+      "(518, 1)": 117247862158586361052387914851240416757,
+      "(519, 1)": -129011149404617679540019364827708527014,
+      "(520, 1)": 145217338892182814756581185369674375885,
+      "(521, 1)": 101158560132377016671530665616485691849,
+      "(522, 1)": 114162741831944531419404373633287709757,
+      "(523, 1)": 23587474269336965270811090662649174210,
+      "(524, 1)": -105097938267228177684712429237321796042,
+      "(525, 1)": 13283376952342220469470201514311066136,
+      "(526, 1)": 21549303334214981796975035700612474861,
+      "(527, 1)": 164810938630500081057339164483838658451,
+      "(528, 1)": 55259798119333588724425968983282119300,
+      "(529, 1)": -49682155961081473817272271635898181793,
+      "(530, 1)": 90660945537886431670958822213954616862,
+      "(531, 1)": 54425285172000906114935314936429309561,
+      "(532, 1)": -131407880092085471944277465620096920274,
+      "(533, 1)": 95952655006933236249759174392614979046,
+      "(534, 1)": 95748603220523290647294628678223575878,
+      "(535, 1)": 23540062298292011664491772687014288904,
+      "(536, 1)": 81542834920072406794987750465505831714,
+      "(537, 1)": -71874183944225702266276320660292288231,
+      "(538, 1)": -23125942046237999474859671882185923253,
+      "(539, 1)": -75314766628976181584032963598154951959,
+      "(540, 1)": -115699644903765045609087022215214560944,
+      "(541, 1)": -45020120224849112256694533029712825161,
+      "(542, 1)": -129348850334994493480495101462595722800,
+      "(543, 1)": -60823037157243624855248296056682386173,
+      "(544, 1)": 127086259597383271723213858032864467469,
+      "(545, 1)": 5082506291590337163025508699893909336,
+      "(546, 1)": 141830557443299490088749658877612089389,
+      "(547, 1)": 93461421302644623140592274491404359679,
+      "(548, 1)": 13458294375861458525456729027127235577,
+      "(549, 1)": -45579082481283952126196176061062781257,
+      "(550, 1)": -74695789678673995595909314220338325303,
+      "(551, 1)": -28255945525966978450466075514174009312,
+      "(552, 1)": 130855706454976532213782988262649922291,
+      "(553, 1)": 107283637384022061964884997952854462304,
+      "(554, 1)": -63705175384125558709389747378220519621,
+      "(555, 1)": -115736482559843822238494185392561641969,
+      "(556, 1)": 24740401086329198355440162930616123428,
+      "(557, 1)": 48394818724209804822634298533401791632,
+      "(558, 1)": 79238554552704321773788815164656159554,
+      "(559, 1)": -24303431666757436122271368363070974241,
+      "(560, 1)": -34980023648843722939538070755354962958,
+      "(561, 1)": 150633181607244824761453305150822082859,
+      "(562, 1)": -87721602483234747273819082466428913255,
+      "(563, 1)": -25072560233679355811350914858461190445,
+      "(564, 1)": 42527629958407557176728313956098099653,
+      "(565, 1)": 63590733861471027141913798961312992618,
+      "(566, 1)": -7372119023836733023898247541838224559,
+      "(567, 1)": 130997000725546010155557539398578465836,
+      "(568, 1)": 149439453257172092473841111337865721981,
+      "(569, 1)": -166941975761988302471344511033226391258,
+      "(570, 1)": 167805003299363321179287970951625489818,
+      "(571, 1)": 83866914606690445735868774155950378635,
+      "(572, 1)": 150690704742626460902043314335039004534,
+      "(573, 1)": 58669033348378391452388414769751623999,
+      "(574, 1)": 40559968286990171155015618359055704689,
+      "(575, 1)": -167022404258060317119206202291763678163,
+      "(576, 1)": -39000605592674768744084222902533183455,
+      "(577, 1)": -81649955086881702020520959046711402766,
+      "(578, 1)": 18194249406908557415755237999032828332,
+      "(579, 1)": -71171794660931710769971156509835411506,
+      "(580, 1)": 120473496548195373179690972283496852943,
+      "(581, 1)": 78689338433948302360103418589220695089,
+      "(582, 1)": -112348981530325547554318584458977145705,
+      "(583, 1)": 101155854286958273026199602425857406651,
+      "(584, 1)": 135892441118592091819205656771204523957,
+      "(585, 1)": 101939033491347968123945864388249953186,
+      "(586, 1)": -129153478068262916742346725952166481134,
+      "(587, 1)": -53882151274965288327357679754672552625,
+      "(588, 1)": -18611077535798982431224934846475952488,
+      "(589, 1)": 45828826852854711325276461765930545318,
+      "(590, 1)": 99078931047148978475234230010054549363,
+      "(591, 1)": -72227270839926937539390130269124760462,
+      "(592, 1)": 54860632767714163073592137154139261039,
+      "(593, 1)": -27712631670755442665766996447381026797,
+      "(594, 1)": -81082738602404599334502652096171918926,
+      "(595, 1)": -19783873983818129716204071194855574370,
+      "(596, 1)": 26977726970990236778899947339052676486,
+      "(597, 1)": -145902312809019869540883869553670237911,
+      "(598, 1)": -164755999576785782349282980436336791737,
+      "(599, 1)": -85246863667243818204557795565250903445,
+      "(600, 1)": 35833041273485580214917867593453596417,
+      "(601, 1)": -23289931001851519658143037841923272943,
+      "(602, 1)": -118892438833526889792129306515717448346,
+      "(603, 1)": -114638981542036780079812588545897887720,
+      "(604, 1)": 154513648974099251243607090929139292068,
+      "(605, 1)": -169644453190837042385068852007266342750,
+      "(606, 1)": 148878641776096342602739225620054029686,
+      "(607, 1)": 18089501449407656900426001993154229818,
+      "(608, 1)": 52932261414013058241140388259395513637,
+      "(609, 1)": -124145869645781304640477404751520307075,
+      "(610, 1)": -124217567854919673125050716906487766836,
+      "(611, 1)": 430124331875484255101295364538710898,
+      "(612, 1)": -106700111178202286236413527517990084364,
+      "(613, 1)": 99160568582399540224563262080685803202,
+      "(614, 1)": 26568223262173920527635752334868351629,
+      "(615, 1)": -117087154673930471207394993145914065294,
+      "(616, 1)": -170031756217935276364672833218631204331,
+      "(617, 1)": -148185564687955500636663026337993078535,
+      "(618, 1)": -41440362888321317642767841915323622396,
+      "(619, 1)": -6099393139789265036085637677902208697,
+      "(620, 1)": 52426129539013349541541122175675201179,
+      "(621, 1)": -8787418006297473429696478442919481826,
+      "(622, 1)": 102053306807724185583054786826526808160,
+      "(623, 1)": -167426120525075877922288375420494950451,
+      "(624, 1)": 17898698260552152396005855386637089127,
+      "(625, 1)": -89460100852385988157861720545234780585,
+      "(626, 1)": -170039997045875274970113037681631963093,
+      "(627, 1)": 167021585074720949341283105909424955,
+      "(628, 1)": 31271818271706093176019068873069851683,
+      "(629, 1)": 128821306870256591766006091113070979695,
+      "(630, 1)": -50393455200884896682969053146322058740,
+      "(631, 1)": 64361748489962141001108119091568706222,
+      "(632, 1)": -129600076834564138727499220755349267925,
+      "(633, 1)": 134182124536149908010963320007428632706,
+      "(634, 1)": -158515650138250305691165911520030119318,
+      "(635, 1)": -97279650229821057859279319014179496801,
+      "(636, 1)": -51577692744158028015976877800953828799,
+      "(637, 1)": -128296034850894557278378391433263309891,
+      "(638, 1)": -142425098123253575434748677756976641479,
+      "(639, 1)": 161468648341907224183925080786028240383,
+      "(640, 1)": -164569206351284620773334175633719051534,
+      "(641, 1)": 84110030670905212085776996847702459767,
+      "(642, 1)": 86835176552614297426998218863346018844,
+      "(643, 1)": 48105608258512480297487053730361072942,
+      "(644, 1)": -68681206810400967492075748231769168875,
+      "(645, 1)": -19394473449921841039345821262647843830,
+      "(646, 1)": 115390228736495972500205659236849472883,
+      "(647, 1)": -55942389147288234881002461545531836893,
+      "(648, 1)": 87577040139130615846780835050039762930,
+      "(649, 1)": 39688321643471480952244334864844371131,
+      "(650, 1)": 131767211934499774720575471441854703322,
+      "(651, 1)": 128196020754688843327115404061379390160,
+      "(652, 1)": 33647226043432054385651442782863648659,
+      "(653, 1)": -158678832015943158122009928959790100604,
+      "(654, 1)": -52549332890891462393960317779190944636,
+      "(655, 1)": -77907207520398043849721255897545343808,
+      "(656, 1)": -73889757005295627048501082237139352409,
+      "(657, 1)": 112477782331116624439534376470193279056,
+      "(658, 1)": 159881312661066236243594697105969186352,
+      "(659, 1)": 12946873704030947960680182666184552122,
+      "(660, 1)": 52335033000061757956204983414896700468,
+      "(661, 1)": -63842046931959563931735809104504265279,
+      "(662, 1)": -53825431136670274970976769609796618305,
+      "(663, 1)": -53055796518328480135071437301123454601,
+      "(664, 1)": -162439112378905320376519416415928797533,
+      "(665, 1)": -64056321333047649928474477705287083380,
+      "(666, 1)": 165306727883216797766740217146289171585,
+      "(667, 1)": -234440190916190434508738970058165549,
+      "(668, 1)": 160454242055589554153179999614530884232,
+      "(669, 1)": -147847442603388777977864179192535061737,
+      "(670, 1)": 35930495042180617945847370229983140861,
+      "(671, 1)": -61650909731728372929853018765092981498,
+      "(672, 1)": -72562768956976445848496462623256549688,
+      "(673, 1)": -131317512980126984699961094054411526198,
+      "(674, 1)": -35747830101370840870351795034907157824,
+      "(675, 1)": 75492123385717552112656262848357889442,
+      "(676, 1)": 58245060129239015113769158755545692039,
+      "(677, 1)": -107996637806412005819155004214204042738,
+      "(678, 1)": 85483011311983361249167642105401256204,
+      "(679, 1)": 134070688567521523590758983924242341701,
+      "(680, 1)": -103086000087594810474245393488233341470,
+      "(681, 1)": -26543614019544208555298324610767926223,
+      "(682, 1)": -98044044988922395331529132575951674067,
+      "(683, 1)": -159446553459662330166614482245958228069,
+      "(684, 1)": 1467707201661392934485265760786345681,
+      "(685, 1)": 12471204661731504143092656249886572962,
+      "(686, 1)": 149266094092445359665197753295812515990,
+      "(687, 1)": -17348289969405396176598991950812944293,
+      "(688, 1)": 110117150207826451478678443065239616508,
+      "(689, 1)": -56794296953871404898707682347528716975,
+      "(690, 1)": 8559983058539282265352266984442028216,
+      "(691, 1)": 113541041180754290059116926250073711833,
+      "(692, 1)": -62321054196346855849394637822711053507,
+      "(693, 1)": -64221134328945603332125802516072604318,
+      "(694, 1)": 152507535653542731217724775070090241522,
+      "(695, 1)": 62534546742725232414606171646212481546,
+      "(696, 1)": 22465806697083950328389265726598110876,
+      "(697, 1)": 156432727220451267722276749560105970924,
+      "(698, 1)": -92752723157826997783230786287489279153,
+      "(699, 1)": -46495543809802567513494105893684628846,
+      "(700, 1)": -120507985902879616935042509710575311545,
+      "(701, 1)": -86735981604050899071958173684968900248,
+      "(702, 1)": -27148387599689898850920695406099474293,
+      "(703, 1)": -17208749080070526466195881295637989974,
+      "(704, 1)": 122286733807880765830012064170791474191,
+      "(705, 1)": -113141943344880142078301718878152932761,
+      "(706, 1)": 39442206961702265323099565304916580022,
+      "(707, 1)": -76968907354010099081312167734446856762,
+      "(708, 1)": 116986417356712276136924144615545299417,
+      "(709, 1)": -24433066561648368786006267139173889121,
+      "(710, 1)": 25080328219924458080803384242390122119,
+      "(711, 1)": -146715740631149727912342980882159521838,
+      "(712, 1)": -79882484658650232134522253570001178716,
+      "(713, 1)": 158583329759641319830317067512756274741,
+      "(714, 1)": -68814659036355746015781972270730392314,
+      "(715, 1)": 42041705711558775534892327208044159280,
+      "(716, 1)": -122469576508736578601929261277825813888,
+      "(717, 1)": 93856135315054351969321683142408590198,
+      "(718, 1)": -58327495279185676540502371278753430292,
+      "(719, 1)": 144352967437113149674082653205831495661,
+      "(720, 1)": -142074391190277215017118500489944963401,
+      "(721, 1)": 30573630562107066262123795966181344968,
+      "(722, 1)": -121930249431935033847566612403356839864,
+      "(723, 1)": 25156970053157527532567952439025071951,
+      "(724, 1)": 126409218806292330611802551163103182866,
+      "(725, 1)": -116785342535606628407392623902451079177,
+      "(726, 1)": 61589222194126740344362028242708479886,
+      "(727, 1)": -96429427159773868592883549721211985688,
+      "(728, 1)": 103320415636180493127626593225343113061,
+      "(729, 1)": 60314056891052456585337453993335121733,
+      "(730, 1)": 73072403829804076861110309131400191991,
+      "(731, 1)": 96289790316597021412661549833612599409,
+      "(732, 1)": -101116045388973629961371073018697960700,
+      "(733, 1)": 45252779228424801182547054651542977954,
+      "(734, 1)": 113475533601508681525371585797963533688,
+      "(735, 1)": -146558717295106469720763973408558144078,
+      "(736, 1)": -111366497122078232433515239785181079651,
+      "(737, 1)": -1690946316936344673053082278985877924,
+      "(738, 1)": -73315509097753734902222591290357222507,
+      "(739, 1)": 132839691731940086584090886121731311537,
+      "(740, 1)": -66661734799875736276914388452139409866,
+      "(741, 1)": -130482275390319995870361488582951707849,
+      "(742, 1)": -11158073885940079668418568508712905631,
+      "(743, 1)": -84593144544974460902666940120338844045,
+      "(744, 1)": 78222981418702774514160450182963627628,
+      "(745, 1)": 991322447247355532346275162764147644,
+      "(746, 1)": -90381058748185315819986718740643357161,
+      "(747, 1)": 24058224138718123573334592303269690975,
+      "(748, 1)": 127106101254212316071120327881415058516,
+      "(749, 1)": -99498542340857459222319858008770368849,
+      "(750, 1)": 99567354671370868118001199324842306573,
+      "(751, 1)": -15328930934381796070177774377203143258,
+      "(752, 1)": -6734078315591005925222657150892625583,
+      "(753, 1)": 103542732865066317310404599685401457870,
+      "(754, 1)": -143346380819996596759663795487866087439,
+      "(755, 1)": -162990001735490559417944559686584803169,
+      "(756, 1)": -82770842955189113090577076425776835450,
+      "(757, 1)": -131434159816797770849296148013047659481,
+      "(758, 1)": -120577991665719976536382403341211562420,
+      "(759, 1)": 167401801373994182725232918985445719880,
+      "(760, 1)": -78710658070600432376128015036381983286,
+      "(761, 1)": 16333013553294333546923472730669069766,
+      "(762, 1)": -112422458816887716314583520498361372848,
+      "(763, 1)": -117908639625223879286721475660732122749,
+      "(764, 1)": -160000533194778609967192245199549458229,
+      "(765, 1)": 120880069058727155042653933826244036678,
+      "(766, 1)": -138593914304635147003364474883865874423,
+      "(767, 1)": -156782522045601303864263281759479678840,
+      "(768, 1)": 77766363103040572763368894967782309233,
+      "(769, 1)": -145369190090649076920958416345539399623,
+      "(770, 1)": -153590811051703886562628305124858869292,
+      "(771, 1)": -154943039454612260605552983205528154534,
+      "(772, 1)": 112656551139681557825567640280410498714,
+      "(773, 1)": 166325165263706734668590705688184654587,
+      "(774, 1)": -160453446718103894273472703955311446291,
+      "(775, 1)": -144262718021481529371309735338762436041,
+      "(776, 1)": -77079745117916220890337934225008116820,
+      "(777, 1)": 14614822101524130727366396874276316112,
+      "(778, 1)": -155362507659280223822886009165815306189,
+      "(779, 1)": 27644776179579822526085926048559352832,
+      "(780, 1)": 123494748155323378559604261033768738408,
+      "(781, 1)": -162939717689731853775934106983245902764,
+      "(782, 1)": -17124241337125070607014315782737047089,
+      "(783, 1)": -13312722437888575973732021851851865919,
+      "(784, 1)": -55290289842173880920138882416134825457,
+      "(785, 1)": -153992124176631077588647379554343653044,
+      "(786, 1)": -48378213292356052792591488745748776309,
+      "(787, 1)": -104140112851624292057262899612737970362,
+      "(788, 1)": -103388367044707482154063390169821542820,
+      "(789, 1)": 89210353659162792197214917219846136507,
+      "(790, 1)": -99673176191734129644119915711115833403,
+      "(791, 1)": 10908275096608821807421654135117693644,
+      "(792, 1)": 89376661973644260263054911291401884625,
+      "(793, 1)": 62846771512812552784342165848925511747,
+      "(794, 1)": -64019789725351272521438907328224548325,
+      "(795, 1)": -75028934724359929817003793446653966837,
+      "(796, 1)": -83943758147496086895504334229460025646,
+      "(797, 1)": 11560273744584749489653643797193342789,
+      "(798, 1)": 106375341639107582190495388703563389859,
+      "(799, 1)": -118458793622103017445986613776893819362,
+      "(800, 1)": -166253543189201312486653922931075630771,
+      "(801, 1)": 31941239127612727861793107459709369901,
+      "(802, 1)": -72061634460342638144793956577550801289,
+      "(803, 1)": 138934167556951915716843010560823717903,
+      "(804, 1)": -111639593318768221255439045551999221646,
+      "(805, 1)": -129735730947318886088101711402443555686,
+      "(806, 1)": 105497669099788819245114410581617780526,
+      "(807, 1)": -152842041596373702686815527881681265440,
+      "(808, 1)": 3517937536369099710795167965355589448,
+      "(809, 1)": 73516427867479333973859273049877207299,
+      "(810, 1)": 116777506338619171585371886889182389869,
+      "(811, 1)": -127138409938161110754659997999154713382,
+      "(812, 1)": 124713799102985910960476363118400848159,
+      "(813, 1)": -89523736693015943064638452640250707152,
+      "(814, 1)": 75931773829653130615194937067268584862,
+      "(815, 1)": 16918116366737737267148207647849469958,
+      "(816, 1)": -7084974555808645919992390838291988101,
+      "(817, 1)": 67693276756431159095772937961658636788,
+      "(818, 1)": -113922871442338635409288027063188498721,
+      "(819, 1)": -108295309854965531897620943959020506443,
+      "(820, 1)": 82481878340862221293611813596162468277,
+      "(821, 1)": -105955319833960942278320318026007193848,
+      "(822, 1)": -118319711999998750793176394105288685978,
+      "(823, 1)": -11786370468091904959836629830504975757,
+      "(824, 1)": 112280033128517974517826469346977477840,
+      "(825, 1)": 16528687864639660732004361564347685759,
+      "(826, 1)": -114515334446171004312391160767877908012,
+      "(827, 1)": -105756290960459188510500072295670774456,
+      "(828, 1)": -92235908558690098088298592867292000219,
+      "(829, 1)": 141297455499041029789685074110204090820,
+      "(830, 1)": 93829170075516274952719218685064922284,
+      "(831, 1)": -99602212108307616894496055206591898052,
+      "(832, 1)": 43279070902794449847530919459393355646,
+      "(833, 1)": 120354902403878832469682309629853806068,
+      "(834, 1)": 66462310294044634535579258326921228050,
+      "(835, 1)": 114919779438445963328722264114257472396,
+      "(836, 1)": -24389129768128073924093861911327495877,
+      "(837, 1)": 51376086971832110639006653195629016500,
+      "(838, 1)": -34233565154378213114682554014927295925,
+      "(839, 1)": 20214643722888440839482136968061701789,
+      "(840, 1)": -63018999839386589109123364805385072709,
+      "(841, 1)": -159900607341240748386516665573795295878,
+      "(842, 1)": 157696233937897868119287946393622606266,
+      "(843, 1)": -75810045765900983172016613454925069165,
+      "(844, 1)": 8486228977366310752652059467599238241,
+      "(845, 1)": -72807809056999357839761720017549501086,
+      "(846, 1)": -61581751014287679720168775328838720433,
+      "(847, 1)": -18321327934483933620493596514616305920,
+      "(848, 1)": -23128290728778036884546553940913695895,
+      "(849, 1)": -27346263111167325919227730403584737954,
+      "(850, 1)": 96898795497459141362862512741201287907,
+      "(851, 1)": -119308143567132350285351008393335669798,
+      "(852, 1)": -26697175206047057686336512604909047743,
+      "(853, 1)": 56488223143221060382862258539052664854,
+      "(854, 1)": 168179880533796889842583524123717830848,
+      "(855, 1)": -30812145535524129553866952971903036744,
+      "(856, 1)": 89126078373695233297340011668061820312,
+      "(857, 1)": -71048378566637706763881732678484883039,
+      "(858, 1)": 120679879674063600468479893462914006105,
+      "(859, 1)": 54053880652827953901603937964042977295,
+      "(860, 1)": 4447225394587902705616459149196979697,
+      "(861, 1)": 32206786369015423531466688257987838002,
+      "(862, 1)": -82018087618710762708618711456281165272,
+      "(863, 1)": -39576707206139324756440429323916731776,
+      "(864, 1)": 69796372624342192210262653884691033920,
+      "(865, 1)": 76140833113865661145990649920938994633,
+      "(866, 1)": -90623482032204582663041705922920609726,
+      "(867, 1)": -1519366322028093878202190228149461443,
+      "(868, 1)": -48706013694401797142747291460231131670,
+      "(869, 1)": 54427692555316632041902876822591128120,
+      "(870, 1)": -118927075457685052358803804547857519960,
+      "(871, 1)": 65070482151612461931710666945703810684,
+      "(872, 1)": -16885709027349925678622835906294470459,
+      "(873, 1)": -18464954095538479581690018706515560831,
+      "(874, 1)": -155942468263261924521973975166113639541,
+      "(875, 1)": 4552388678540145958223564255505775726,
+      "(876, 1)": -7564898896632,
+      "(877, 1)": 48146352500800972717803036602767724333,
+      "(878, 1)": -137613168,
+      "(880, 1)": 882
+    },
+    {
+      "(0, 0)": -95215135865853493651647305235364260575,
+      "(1, 0)": -69635163521113154710271086021233208296,
+      "(2, 0)": -118803209435111174683154662326281922969,
+      "(3, 0)": 96668159617770178930857741369498019516,
+      "(4, 0)": -48015887854112646506847760221320362646,
+      "(5, 0)": 3754056944107361441033204328762931230,
+      "(6, 0)": 82491554046824940892817127504494894760,
+      "(7, 0)": 92255580431081344614480260506666584583,
+      "(8, 0)": -2481687478181546889868113945893987173,
+      "(9, 0)": 121895569215947688539958255223418580083,
+      "(10, 0)": 76948476783569360342289679186709185824,
+      "(11, 0)": -38001117283237769823477923244574737195,
+      "(12, 0)": 85554992757936551368378140984137554741,
+      "(13, 0)": -124225171862218359371723807726983756701,
+      "(14, 0)": 66977634606066537949445664508055689805,
+      "(15, 0)": -120750947704259457540904579548327988127,
+      "(16, 0)": -136415136501850904224107068717733554303,
+      "(17, 0)": -129806931533375278382276039217105621652,
+      "(18, 0)": 142608094928441268372771823207290860056,
+      "(19, 0)": -141486577771584272464753767893525667439,
+      "(20, 0)": -160766329183686553896170117302168337116,
+      "(21, 0)": 162812511401152069113611747579037519572,
+      "(22, 0)": -93889781430314607681956865197258302058,
+      "(23, 0)": 74324714632072885291941640785876226706,
+      "(24, 0)": 91688507100163279309073694520012630524,
+      "(25, 0)": -117163192262590109072324823266179719139,
+      "(26, 0)": 135246958742832068183923413019729881098,
+      "(27, 0)": -17889094475226517489193465248086568365,
+      "(28, 0)": 29953296073632497470732526094259212332,
+      "(29, 0)": -33206011312087311881958508406984182365,
+      "(30, 0)": 16667376158424062330686071270667818262,
+      "(31, 0)": 71425153678471234997279667290533299334,
+      "(32, 0)": -45419886606476497777964489170043015858,
+      "(33, 0)": 121475784389002492577933180793492698180,
+      "(34, 0)": -168009424582891060647440245173157335801,
+      "(35, 0)": 52669974025177242511654025228302202211,
+      "(36, 0)": 164331318914827817994390284438567561344,
+      "(37, 0)": -190455815022318330796924442650925750,
+      "(38, 0)": 166023865105941643221860477352283636411,
+      "(39, 0)": 65185880070148925773851769490927134379,
+      "(40, 0)": -4484306513257173464314244106727122943,
+      "(41, 0)": -12354075402087986589078306831516251105,
+      "(42, 0)": -90929140534053587077773168398077169158,
+      "(43, 0)": -57445027053049420948838146252125514613,
+      "(44, 0)": 8148166824432725656141720635581211273,
+      "(45, 0)": -122074305504044419799951297582093595248,
+      "(46, 0)": -7520704583217469468664607372162992163,
+      "(47, 0)": 95842691246249844268685579954598578665,
+      "(48, 0)": 100704033715667301876089114060824894296,
+      "(49, 0)": 20998202665249411329039933794642285871,
+      "(50, 0)": -92175851843470109229717302224645691964,
+      "(51, 0)": -24973980619087702437439617320256999269,
+      "(52, 0)": -165361775058346956179993115016499496188,
+      "(53, 0)": -75081152086989456581625155748370037421,
+      "(54, 0)": -68175871605124794706772158192097870869,
+      "(55, 0)": -88597300379864704051039380709652347230,
+      "(56, 0)": -29825691923217368729774026671749021698,
+      "(57, 0)": -82917893927944415686145756898553558177,
+      "(58, 0)": 11583819028529864454524570167678973878,
+      "(59, 0)": -26742583459107932461083953469668910630,
+      "(60, 0)": -72857447986648542274809121864760339651,
+      "(61, 0)": -45633354304851321707249208082776675966,
+      "(62, 0)": -29451416743150127774055895616863266446,
+      "(63, 0)": -80854363417876698585862240414871492927,
+      "(64, 0)": -154727939609127908433909346131284234767,
+      "(65, 0)": 148799548356754163321803910165177251811,
+      "(66, 0)": -99207519274193030413931982747070872566,
+      "(67, 0)": 43910152951818445255143456590424872427,
+      "(68, 0)": 122810283447722230318025059324594280543,
+      "(69, 0)": -98598356234071962429097631166492206639,
+      "(70, 0)": 65915394970211107366970224467026154749,
+      "(71, 0)": 128028620844482718614218394669419472373,
+      "(72, 0)": 114969094894369367621501340556515347858,
+      "(73, 0)": 51697196991060085230612295431386666059,
+      "(74, 0)": 138478458469903598739229117495756304207,
+      "(75, 0)": -22233601024621851044308696105470932425,
+      "(76, 0)": -29140058465722570702903871641310026888,
+      "(77, 0)": 162438615024504838552511149193254810349,
+      "(78, 0)": -118383959455801467493431257237972218097,
+      "(79, 0)": 34413769207340695300086566823676008759,
+      "(80, 0)": -102071996159059123689965136842090943859,
+      "(81, 0)": 62445310875298889959926993198458707945,
+      "(82, 0)": -22440252351184257314656966197686062493,
+      "(83, 0)": 731708610657833595659686100090396293,
+      "(84, 0)": 49090783469955810741106617152098923273,
+      "(85, 0)": -17398520902236477611519074120300774684,
+      "(86, 0)": 12913332269836092183375484636455599480,
+      "(87, 0)": 23334268618706274252721889463086367733,
+      "(88, 0)": -104252368433498530294707585749241656295,
+      "(89, 0)": -108702758524306302668135566635030254117,
+      "(90, 0)": -53339431151390836383296580708918584381,
+      "(91, 0)": -152670347647917513717059314742372964134,
+      "(92, 0)": 59587034733089532881492676876763957361,
+      "(93, 0)": 141297437117069763327964605472584133221,
+      "(94, 0)": 130911274870432655593569902216632546083,
+      "(95, 0)": 6150650725365299599134099946112108027,
+      "(96, 0)": -74056861157935143762155217379333090732,
+      "(97, 0)": -152091027609199245063919278193771761853,
+      "(98, 0)": 132968664034423245042417653565142278802,
+      "(99, 0)": 46837928086198624013349047416664862958,
+      "(100, 0)": -11602708595135748080085454507732488613,
+      "(101, 0)": 4520431311697686872269982317941370397,
+      "(102, 0)": -2918640660465074446157658013963859351,
+      "(103, 0)": 4629319922232364160757402836666942282,
+      "(104, 0)": 69670142292388608885779153548551324524,
+      "(105, 0)": 97616903437769831985678967545861118218,
+      "(106, 0)": 72719603009336789395774384431159800818,
+      "(107, 0)": 113521875705553108259113242528750986208,
+      "(108, 0)": 36613829242167475118237784108590138031,
+      "(109, 0)": 142418925495248425888410164548840811622,
+      "(110, 0)": -48358365952470533010809202713633156649,
+      "(111, 0)": 7735876904341364410643369986985684592,
+      "(112, 0)": 40214116667563767257299417218912682212,
+      "(113, 0)": 158273241725070312455063388132226897112,
+      "(114, 0)": -35413175365142286651472143899060996083,
+      "(115, 0)": -119277278269278119902969754430195605514,
+      "(116, 0)": -11250231342070045502122549703398674541,
+      "(117, 0)": 77559373391315337447234135114475974532,
+      "(118, 0)": 3916298800619502172326416614841003162,
+      "(119, 0)": -65768306924087021115852559071561455874,
+      "(120, 0)": 82616633061236638203809498016748939956,
+      "(121, 0)": 10941576588379970316876888325469732362,
+      "(122, 0)": 15346606904105795845291682116361122037,
+      "(123, 0)": 140884629485789475879988670688337810327,
+      "(124, 0)": 68536551903861111551816813297037198058,
+      "(125, 0)": -34934021839936137008547545294208791278,
+      "(126, 0)": 11346130392764358442748273202819764632,
+      "(127, 0)": 62910525030853404097723436946135719573,
+      "(128, 0)": 83118767267798556149378153396542495132,
+      "(129, 0)": 87528898141699517101902254360385801830,
+      "(130, 0)": 128682054034543940445541410068049491901,
+      "(131, 0)": 123650217423223525499471009808110625983,
+      "(132, 0)": -143063520655060453136975546435725467908,
+      "(133, 0)": 139294957321132647096183722269605542429,
+      "(134, 0)": -138282045532370569087731684440086414819,
+      "(135, 0)": 25944216847456714744274555912614124926,
+      "(136, 0)": -79054965604418201482618502154026822113,
+      "(137, 0)": 44107340640840193871854958013960389580,
+      "(138, 0)": 89274181879751798682443639898762724586,
+      "(139, 0)": -34393450124488842678581990974932645833,
+      "(140, 0)": -138781946372961340169589048909448399878,
+      "(141, 0)": -81520419876563983267838594698699808035,
+      "(142, 0)": -7784939806109652978954983532953610928,
+      "(143, 0)": 35190378795392721889011517532785698781,
+      "(144, 0)": -132493536956048954822874690248680070863,
+      "(145, 0)": -44923939450090926314321899284010647738,
+      "(146, 0)": 19482170874659485951578927047527637235,
+      "(147, 0)": -42984570149163629472083643955688369946,
+      "(148, 0)": -155844138210506116194817871618275353200,
+      "(149, 0)": 13944862144460958588653069294231137254,
+      "(150, 0)": -155662649167552162208106563270937389278,
+      "(151, 0)": 6991423744107589753032036358390584590,
+      "(152, 0)": -3560177884543780076759298637866985266,
+      "(153, 0)": 118555045811961840528131050966363933096,
+      "(154, 0)": 95297129741931169419293483035789956195,
+      "(155, 0)": 41973505753508757638789105503456179831,
+      "(156, 0)": 10344433762625113149055579331178631661,
+      "(157, 0)": 130411033183035433788112298791998016346,
+      "(158, 0)": -31890364319018367096658888008750145489,
+      "(159, 0)": 55080949842831864349550775148945189534,
+      "(160, 0)": 108904305163992079302101115820875492517,
+      "(161, 0)": 2495015403960228398156458493676083737,
+      "(162, 0)": 164443516174660641429797947284614763590,
+      "(163, 0)": 147169541595167174569344631208081575802,
+      "(164, 0)": 13843327337035212970223080896105767025,
+      "(165, 0)": 3935013969507495140409183364183861472,
+      "(166, 0)": -46448680459940667170774304690592438454,
+      "(167, 0)": -82592081130600588180946329099808662639,
+      "(168, 0)": 115998757284603742484944662891099668062,
+      "(169, 0)": 129917797975387842351511301470217113251,
+      "(170, 0)": -56237100225373015313677435624118261605,
+      "(171, 0)": 159362869660898284299038603474303364649,
+      "(172, 0)": 87463587384693595896937066898475240823,
+      "(173, 0)": 158355839609598375722288706179291741121,
+      "(174, 0)": -158049157462841587594214333280685299967,
+      "(175, 0)": -76983507963501620785753992696229517133,
+      "(176, 0)": 170140288193836493156309533157838427692,
+      "(177, 0)": -73926522566799417363202386532398654861,
+      "(178, 0)": 127510305875793854421373614977652063335,
+      "(179, 0)": 117424188438278211029417844151079353662,
+      "(180, 0)": -117227949208880758052367308704645091466,
+      "(181, 0)": -82514442721561723621153685439482522203,
+      "(182, 0)": -23942670528560596842691346333808632770,
+      "(183, 0)": -78357680274573456828367996056100241292,
+      "(184, 0)": 87706694738455252743824972773986051180,
+      "(185, 0)": 3854776483841904143447743560791326995,
+      "(186, 0)": -56554563222885683246828300315934350356,
+      "(187, 0)": 79085298855352830493124770252030831193,
+      "(188, 0)": 100037438762165658817719236242831078144,
+      "(189, 0)": -114246260161720387625390958931290759749,
+      "(190, 0)": -93358737930298784459476755041304386381,
+      "(191, 0)": 154071655564015230062313487255137225086,
+      "(192, 0)": -91357116575551823421314045505456338132,
+      "(193, 0)": 53280751630899658517553344765773991584,
+      "(194, 0)": -3154162992853972081575897891878887202,
+      "(195, 0)": 145938398760256995088300391899456584223,
+      "(196, 0)": 56077473124071776705408171088067948164,
+      "(197, 0)": 4936859974205881277541275701762366470,
+      "(198, 0)": -126122091208968448579617928489488653656,
+      "(199, 0)": -33197204137494124346076863016512228178,
+      "(200, 0)": 54465498319000499339724623694000867645,
+      "(201, 0)": -22148419700751756996533417726734573305,
+      "(202, 0)": -131536659643931855557409168719637763296,
+      "(203, 0)": 99965478927518163185620832484096998665,
+      "(204, 0)": 48470906900925772930215732596469298649,
+      "(205, 0)": 47651362234070220969809233200564173880,
+      "(206, 0)": -127042475422918888309903662835199565319,
+      "(207, 0)": -125277373697812683871267719331366113336,
+      "(208, 0)": 59561286352753515963847857503134298237,
+      "(209, 0)": -154425823336654063413117312538697693465,
+      "(210, 0)": 34063219564282942895520689862264954869,
+      "(211, 0)": 37429334655789966713073820490130489755,
+      "(212, 0)": 9966752019051430476643584736805753062,
+      "(213, 0)": 43828221374345498655678976439753444435,
+      "(214, 0)": 112560304170006386732229594036216304045,
+      "(215, 0)": 73648429832191241865670281955373559362,
+      "(216, 0)": 38920561300120114629940961765836590629,
+      "(217, 0)": 148402600144506968491753405019647276052,
+      "(218, 0)": 133309498509755359996954932952973952495,
+      "(219, 0)": -123980562395044006692404338716268720062,
+      "(220, 0)": -4405890177649271480965887313602116086,
+      "(221, 0)": -153997528408890423963081712257337678888,
+      "(222, 0)": -54001581161983503230205495523008146245,
+      "(223, 0)": -3217357454410562101733971290531655653,
+      "(224, 0)": -169813083690988054407587501753608034251,
+      "(225, 0)": -137775546514804148741898153040309153256,
+      "(226, 0)": -23537932903630554654760917694998432032,
+      "(227, 0)": 130120049321865603598084938652825692632,
+      "(228, 0)": -97373303432008194606018779190032963123,
+      "(229, 0)": 105625562150061758042070426796039971663,
+      "(230, 0)": 73657224468418754968794316661489386133,
+      "(231, 0)": 157736725862102911267309324335279111390,
+      "(232, 0)": -110577580047788837161239973385782515684,
+      "(233, 0)": 164665434857549927434814180664375400893,
+      "(234, 0)": -84553451301696855978576162491619274663,
+      "(235, 0)": -117491351387916153746351787791919114302,
+      "(236, 0)": 38668852880855552180444342620334863442,
+      "(237, 0)": 48924849353755936079096681984311071459,
+      "(238, 0)": -19015456032885334288396174348109733318,
+      "(239, 0)": 10903296022016396544421472641214275027,
+      "(240, 0)": 44593084406000438373453948017482714466,
+      "(241, 0)": 54970207154766908019568153245010373476,
+      "(242, 0)": -100199080644157397571530930003635205275,
+      "(243, 0)": -107951348782101915334486218171529825233,
+      "(244, 0)": 143830210779867443522071497774819360059,
+      "(245, 0)": 54803234442365098406344863526841532479,
+      "(246, 0)": -91429734085800580097063146159438109838,
+      "(247, 0)": -83286653856162830647986248809172384245,
+      "(248, 0)": 151975588746133598385642500750735821157,
+      "(249, 0)": 75473679197415355765605769961588709608,
+      "(250, 0)": -149690471061339167212467349151046183332,
+      "(251, 0)": -123651061551743221597739096586469914952,
+      "(252, 0)": -153449687277077895338104943951742420267,
+      "(253, 0)": 463230546477482403872750762249066298,
+      "(254, 0)": 163163554960798028172172731226139094630,
+      "(255, 0)": -47285911298162774780655480150577311851,
+      "(256, 0)": -154025816526573266976834933478590016250,
+      "(257, 0)": -60282361721199288370739916542528549126,
+      "(258, 0)": 105642669951938160215702004536904949621,
+      "(259, 0)": -19143245198780174047074401323228938054,
+      "(260, 0)": 67593756104254077312924244781555378407,
+      "(261, 0)": 87547993366627775012749412979726141261,
+      "(262, 0)": -102814813212078659424206187057207542831,
+      "(263, 0)": 62384650717014333689997146024100687587,
+      "(264, 0)": -106846832079507492073910888424708368352,
+      "(265, 0)": -31787310107997102832294166418449485998,
+      "(266, 0)": -143531020961127473689048580248557228898,
+      "(267, 0)": -118321675891786560677652805605100872593,
+      "(268, 0)": 136515592525978071239219799912136795860,
+      "(269, 0)": 89538847254843632869932942511643465438,
+      "(270, 0)": -51924382032188062615739207968786569792,
+      "(271, 0)": -36031211196833873854802094366546747698,
+      "(272, 0)": 34620304535158343494086461616193334773,
+      "(273, 0)": 17962901098031354622743168684030423979,
+      "(274, 0)": -131197063676527776119742263628154188782,
+      "(275, 0)": -115969099024054558505191269090302000666,
+      "(276, 0)": -10364642183606733325543302084706224284,
+      "(277, 0)": -142836231522261730757149366887316156009,
+      "(278, 0)": -119618774181141493337575809959179429004,
+      "(279, 0)": -62056003265295622309252129770994093915,
+      "(280, 0)": -64414770008422330333201565370664678419,
+      "(281, 0)": 104379206965048452030991226108193851369,
+      "(282, 0)": -145556950097822369173310155161856540725,
+      "(283, 0)": -74086813617569037101529324924537255142,
+      "(284, 0)": -14100255394311909740571556684443594709,
+      "(285, 0)": 94792615103943272635050869648104149987,
+      "(286, 0)": 45431218223086265596849422541029956354,
+      "(287, 0)": 13697201457212258586297767235133108004,
+      "(288, 0)": 76124265907422579681398090896829539296,
+      "(289, 0)": -16644172247492889980034014190661414663,
+      "(290, 0)": 35231938154495239963414710528199215062,
+      "(291, 0)": 72143570910757543644245744234762456853,
+      "(292, 0)": 61138919437014388516568839268041409886,
+      "(293, 0)": 40367280504880699049700583012434421535,
+      "(294, 0)": 125739833623265387056039149308619148802,
+      "(295, 0)": -56786997839720343291992579623519570206,
+      "(296, 0)": 81516280176624942325874949924559130859,
+      "(297, 0)": -144200474403173033264948335241062143635,
+      "(298, 0)": -77790117291699055996838770183387505970,
+      "(299, 0)": 78103340568633130644414442285789706924,
+      "(300, 0)": 97882915440270447127303201068550877397,
+      "(301, 0)": -81595531045628239374110015366935291743,
+      "(302, 0)": 82010161012549195664716252763309746509,
+      "(303, 0)": -75676001644243756612340036877405414697,
+      "(304, 0)": -51182670623604389048008072218532080879,
+      "(305, 0)": 24581326407076495098480479705602357477,
+      "(306, 0)": 50753182811024553069069359728944171738,
+      "(307, 0)": 152418106304005435081276172815447298394,
+      "(308, 0)": 26707257231791934342418147480300958790,
+      "(309, 0)": 10678358872142733640042851280916108632,
+      "(310, 0)": 107581431583253026850144485567332875401,
+      "(311, 0)": 145753310191129460800640445690439436596,
+      "(312, 0)": -121055037030525385977640472490852237752,
+      "(313, 0)": -35962825595069255045779738062932217987,
+      "(314, 0)": -22693710492006166924705710700758445952,
+      "(315, 0)": 104331142750363668467353576490950558500,
+      "(316, 0)": 23577193486118993113877640910275098926,
+      "(317, 0)": 53319368170327395231216874647939457820,
+      "(318, 0)": 18828987084488904365871447911404297622,
+      "(319, 0)": -160127669797288627589718201872119799398,
+      "(320, 0)": -120188860689491295250933189228301087423,
+      "(321, 0)": 164047776625927978952051053659515529556,
+      "(322, 0)": 78168991488301460491065354404134072182,
+      "(323, 0)": 25035556552493295609695362693198407778,
+      "(324, 0)": 57500317469205357648931548364782175241,
+      "(325, 0)": -23308677856561260032999562713235502962,
+      "(326, 0)": -19041848400428976634873615374439257746,
+      "(327, 0)": -153336702872912255019698058851836262233,
+      "(328, 0)": -54295455586836639906094091934508145260,
+      "(329, 0)": 136451000236112662471206670509799094154,
+      "(330, 0)": -56753257519687442082591255113927565913,
+      "(331, 0)": -1131837334144940351171254131644061434,
+      "(332, 0)": 89821726741350140878433446318465564826,
+      "(333, 0)": -140968311731472016168782108411367015879,
+      "(334, 0)": -7392416400925834220088150909073249355,
+      "(335, 0)": 136008089472190177393422359504881834268,
+      "(336, 0)": -51212990821480596109880391491804590162,
+      "(337, 0)": -128464554700236205959480761765737422178,
+      "(338, 0)": 34154320954271834129983317090765840947,
+      "(339, 0)": -101250356954165065265172497367003553382,
+      "(340, 0)": 46521425195160708128681339817156883645,
+      "(341, 0)": -86286721404271893462892003432471605214,
+      "(342, 0)": 135740540426028943991172557117818934805,
+      "(343, 0)": -4092265334849715401800080986538683889,
+      "(344, 0)": 88783534106479298134119999885952445227,
+      "(345, 0)": 5042923245991067293344331621529308594,
+      "(346, 0)": -103998330152237288796170271829115450098,
+      "(347, 0)": 108993984284643149223549989523912577381,
+      "(348, 0)": 81097242851651278520797188547605659749,
+      "(349, 0)": 12337379678978307952652724089907183474,
+      "(350, 0)": -72984804281989822208834002531309516682,
+      "(351, 0)": -28606852630258439533956092414464270739,
+      "(352, 0)": 23949637780734913312069812270606589317,
+      "(353, 0)": -74211388265783708609705147623538146758,
+      "(354, 0)": 146457428557154981780408646648484246521,
+      "(355, 0)": 147588522165683362349005486272690174417,
+      "(356, 0)": 28874032029682743588906264670067342101,
+      "(357, 0)": -39116902651644256204174362648835711396,
+      "(358, 0)": 159837770923903114992971662785434069444,
+      "(359, 0)": -157787152404351092703531592410125424837,
+      "(360, 0)": -70966590573753100538049593380543441327,
+      "(361, 0)": -164382015529930333633966300967426372371,
+      "(362, 0)": 71918498863055624609896913607975335077,
+      "(363, 0)": 44575964366391594911744411740460880845,
+      "(364, 0)": -114439917954668749324653233469747412943,
+      "(365, 0)": 86712756118407155750695429678920407693,
+      "(366, 0)": 140176826156488871091127151734755267374,
+      "(367, 0)": 122925318931879660701493301862524771815,
+      "(368, 0)": -128741844659527397178557549408872705756,
+      "(369, 0)": -115235820183142171543691995312479707888,
+      "(370, 0)": 90989870626903919398549215835701775273,
+      "(371, 0)": 139872283751442739174545879435029215839,
+      "(372, 0)": 93595635212480236867235974135875052478,
+      "(373, 0)": -129400623925247380123462038671389284228,
+      "(374, 0)": 162816483918974385465181891660392919376,
+      "(375, 0)": -67937319314310323693324953733463829207,
+      "(376, 0)": -96363651777098414842661007925816650872,
+      "(377, 0)": -105426441780407835204423246534576889946,
+      "(378, 0)": 70715304801157357170569181597220592073,
+      "(379, 0)": -161775243565504822695773522602150218851,
+      "(380, 0)": 147613204356088752732099350760845059632,
+      "(381, 0)": 83673372677534862212787589741256403499,
+      "(382, 0)": -124860979091821087822453586258767020447,
+      "(383, 0)": 159668332890174705398231090927482111338,
+      "(384, 0)": -45783310389421543608669868680202435716,
+      "(385, 0)": 98803020477991128896097292559018942499,
+      "(386, 0)": 68160024689505817135741561287783361414,
+      "(387, 0)": -76335423858314276965123362892368348095,
+      "(388, 0)": -111020951347880917036005107125574740660,
+      "(389, 0)": -146264851128120396489091497646868151515,
+      "(390, 0)": -121337600813419946214974558482865733971,
+      "(391, 0)": -147313422919856430066938292808770239808,
+      "(392, 0)": -145166371073204740121027527371509930930,
+      "(393, 0)": -22039631565433149425078664618992203702,
+      "(394, 0)": 100715125512904652778064388252911523005,
+      "(395, 0)": 17898244079303192190730775826201407502,
+      "(396, 0)": 70012559703972084033093853838471843885,
+      "(397, 0)": 28238864642897004257127603301623750284,
+      "(398, 0)": 156024513146977735611288788072551797778,
+      "(399, 0)": -106545977794964082901854695764876253916,
+      "(400, 0)": -84334367854789401754960646791430659927,
+      "(401, 0)": 59009734175720564970617175674522935225,
+      "(402, 0)": -86657735645610240447341630288897057149,
+      "(403, 0)": 105210946145253487836936950481689745669,
+      "(404, 0)": 4145084353282423259530861281937766152,
+      "(405, 0)": -142449216225297459906336736206560750289,
+      "(406, 0)": 105352059462505362108359569566208897778,
+      "(407, 0)": 83347430962590522044662563875998779569,
+      "(408, 0)": 122347076216717604535250177366741263606,
+      "(409, 0)": -66822136827426487628144810415911811299,
+      "(410, 0)": 37615812830323116588912071714715737464,
+      "(411, 0)": 17105847207686921899259662104594927362,
+      "(412, 0)": 123810269684944903623846666848914287388,
+      "(413, 0)": -143883532130719188713449324495357138399,
+      "(414, 0)": -101847486418503314475603245858375331973,
+      "(415, 0)": -162112232024000671854741299034816321769,
+      "(416, 0)": -123309951125113877583831424702841363457,
+      "(417, 0)": 85206451411182510649975360545263007440,
+      "(418, 0)": -120103055444915245631941923818572954522,
+      "(419, 0)": 79277493342078836713517503063051614898,
+      "(420, 0)": -101990074892167177351440846171691235276,
+      "(421, 0)": -74473233325212378363672169252262388829,
+      "(422, 0)": -121872923760386013317156773343202545349,
+      "(423, 0)": -151672578931151577057390597734941075636,
+      "(424, 0)": 99530105857545664447711118278618797342,
+      "(425, 0)": -166472607405331244820480303596822017416,
+      "(426, 0)": -95659174241523055847523816799161576015,
+      "(427, 0)": -154251090969815588435128469084402321308,
+      "(428, 0)": 120455994740420946527727693435332470246,
+      "(429, 0)": 51005306652663892676297940509799212793,
+      "(430, 0)": -64716896185903054063119238363694053438,
+      "(431, 0)": -161205977026566941922481020926234130242,
+      "(432, 0)": -162096785607513597536744803196473006316,
+      "(433, 0)": -58568913525357792738135080257083808078,
+      "(434, 0)": 45639157976912380627078314682402610492,
+      "(435, 0)": 66257686385497931885086632279613217920,
+      "(436, 0)": -83882227252506209405440838286831131227,
+      "(437, 0)": -41530591624937481294965750657294117710,
+      "(438, 0)": 148712358078412259976734191681755495085,
+      "(439, 0)": 25389190049975085747996429056982012156,
+      "(440, 0)": 44058538722053817873573960104738503071,
+      "(441, 0)": 142348993331366701463154712083948375992,
+      "(442, 0)": -68028906151077203965416292941674219407,
+      "(443, 0)": 149156906389894014110810217283359550789,
+      "(444, 0)": -127733368966072907135911154306419905148,
+      "(445, 0)": 121211943917804199376910169687356501020,
+      "(446, 0)": -129005675139018529791056888316906789158,
+      "(447, 0)": 119712104903079683680334768552851682927,
+      "(448, 0)": -15218796831780834815015154246906166310,
+      "(449, 0)": -42204855068852924884233127195657361043,
+      "(450, 0)": -124066222402940790013621659130361477868,
+      "(451, 0)": -73944203945728730363931831264551641178,
+      "(452, 0)": 42154238753875322102854312370047649323,
+      "(453, 0)": 95583030654745548529946024220549761440,
+      "(454, 0)": -72700502812065383663012489633914561874,
+      "(455, 0)": 77006819947738820284504862950245327447,
+      "(456, 0)": -101326293951626759801742764325529010192,
+      "(457, 0)": 144476756542143268739586440444352783707,
+      "(458, 0)": -144167625773396839730025750937802654707,
+      "(459, 0)": -69545221169587071876458651626495293986,
+      "(460, 0)": 55936037307326187889742802095321631820,
+      "(461, 0)": -132880374893584040697828524598590008053,
+      "(462, 0)": 153293136810645333452114673214948076839,
+      "(463, 0)": 111544686791633630571070110693172338538,
+      "(464, 0)": -63749024266164095106698938535243095216,
+      "(465, 0)": 132954362570926296998872111966522208438,
+      "(466, 0)": 82442157981388089629420869288528832275,
+      "(467, 0)": 164884773593542099530363695376294288996,
+      "(468, 0)": -125473034261473819787587670380754713649,
+      "(469, 0)": 2853777874649277430074380687889929668,
+      "(470, 0)": 100507418438070344757277201922633265898,
+      "(471, 0)": 97022066564559978812307173287923774257,
+      "(472, 0)": 58149453148938111778100472514262836843,
+      "(473, 0)": 86468089794429495777153800530388665844,
+      "(474, 0)": 119625586359473770498136559263996258144,
+      "(475, 0)": 1654123524005620711633240621870897354,
+      "(476, 0)": -20640803980052037194593620714387285293,
+      "(477, 0)": -14432072443761893285908854692904131295,
+      "(478, 0)": -122529654645955442491279234434449511079,
+      "(479, 0)": 151305100018667398763409673780134491875,
+      "(480, 0)": -45270640077095632385685799221844090341,
+      "(481, 0)": -130363635247196037909310959937324769770,
+      "(482, 0)": 75298782494944408366683140419756830474,
+      "(483, 0)": -30691094417371530286402364046473039736,
+      "(484, 0)": -303197472342312418601001571649279235,
+      "(485, 0)": -73594925611851112144647543228940239771,
+      "(486, 0)": -145425517379590652687292707124514874861,
+      "(487, 0)": 79475149110194904381645277978093031330,
+      "(488, 0)": 153125046913631628965405620955934800930,
+      "(489, 0)": -47910064941096930182472905005285759487,
+      "(490, 0)": 98991666653282161041984824786592612251,
+      "(491, 0)": -7255310075953484732132405695618492525,
+      "(492, 0)": -23926217901393978978641463759729911219,
+      "(493, 0)": -161653483425641021498483866669500353017,
+      "(494, 0)": 60606511421431421569837717661899084119,
+      "(495, 0)": 8730931074894274036299198069340762364,
+      "(496, 0)": -13326365569645896377014265216333811420,
+      "(497, 0)": -45278374050867452169990733122137805790,
+      "(498, 0)": -166893148121271485724722820965727119605,
+      "(499, 0)": 133808639331292792035472477536449645107,
+      "(500, 0)": -5536289840696116921030855570998217944,
+      "(501, 0)": 123744448758902568761161403920196092988,
+      "(502, 0)": -158630117390769578832718637199994043753,
+      "(503, 0)": 141987434407009207368873399669684702743,
+      "(504, 0)": 73774685447223421690694406981606119210,
+      "(505, 0)": -15579919091268510802589484973584810829,
+      "(506, 0)": -140517499112279734701358292043327602549,
+      "(507, 0)": -123263040926174367459852069605604559393,
+      "(508, 0)": -117284209734139894318036355463679368476,
+      "(509, 0)": 162590545201093967274760619103919466988,
+      "(510, 0)": -138801325602608239421531200525558693874,
+      "(511, 0)": 45733793318049424472364115693861681775,
+      "(512, 0)": 155012826493168171646687493510006464904,
+      "(513, 0)": -121343673115432599056043317167495446650,
+      "(514, 0)": 2788182338723026797850580945553809119,
+      "(515, 0)": 141214313413871441508805074270741897814,
+      "(516, 0)": 114221690530227220957279004153022381766,
+      "(517, 0)": 73856342258501319223407852994734691847,
+      "(518, 0)": 67948631732742394995483872400228265215,
+      "(519, 0)": -82624108484502074375386133780683607163,
+      "(520, 0)": -165143413588954693253425479884572319991,
+      "(521, 0)": -113550102967992171221019828594162685254,
+      "(522, 0)": 131180504169721467160499835404812832267,
+      "(523, 0)": 164422713928344282732720615272486593509,
+      "(524, 0)": 157980231782162104362263482262854493880,
+      "(525, 0)": -164535718644255252940930394176816849377,
+      "(526, 0)": -31225353889562600307917509035046364740,
+      "(527, 0)": -60646062450155763966720217341561984925,
+      "(528, 0)": -96950233886561722014601761631819412339,
+      "(529, 0)": 77008287467968324180873563138345644242,
+      "(530, 0)": -4997872489015742544728343214110400888,
+      "(531, 0)": -2202395447842202964413412764545989511,
+      "(532, 0)": 57478095273387845043095340584937890565,
+      "(533, 0)": -145705677979547998055927000772524724859,
+      "(534, 0)": -102935487599280398874644321117435564893,
+      "(535, 0)": 143649118778497972419661400513032796773,
+      "(536, 0)": -89038304569148187971461117048569701005,
+      "(537, 0)": -45029837896366546303331400288433846073,
+      "(538, 0)": 19032560126825381188580714108204185353,
+      "(539, 0)": -158508131558511784763966326781035256462,
+      "(540, 0)": 79120878133609244650517186422561785242,
+      "(541, 0)": 28603998023399676929749006701914687185,
+      "(542, 0)": 65757691388701874747859916644177031150,
+      "(543, 0)": 72691922249338035054974336270463527217,
+      "(544, 0)": 129010265500650440917003661740929453910,
+      "(545, 0)": 80256719281541042032246705214229026271,
+      "(546, 0)": -21061132550283983771367061162716903521,
+      "(547, 0)": 165805406436167401233005042461863960774,
+      "(548, 0)": 113599655127609455847395518900059443544,
+      "(549, 0)": 96964270902560568840423856889839503489,
+      "(550, 0)": 67662840522325901368205026647015202622,
+      "(551, 0)": -82022774870782805953455083341039144094,
+      "(552, 0)": 6100136605794926620684126309229400665,
+      "(553, 0)": -19626146382403430025145110769973357761,
+      "(554, 0)": -31038901596104973752277995245982837335,
+      "(555, 0)": -68367015348640280541186050704771610718,
+      "(556, 0)": -153667021069877568696955575817329133832,
+      "(557, 0)": 25209357017366486814765650775941423328,
+      "(558, 0)": -22859159814672150085005583192324232233,
+      "(559, 0)": -154136032607225218114405047230107033102,
+      "(560, 0)": -136574384336658168487190901833680114619,
+      "(561, 0)": 97119890397376601974169032241142219324,
+      "(562, 0)": -32343289844758779352268915196590034014,
+      "(563, 0)": -20458222319791570243016621828066855253,
+      "(564, 0)": -133530524389386826049460636433339871598,
+      "(565, 0)": -119730534173208319363388378341940491192,
+      "(566, 0)": 105745360074349395617850913825333108056,
+      "(567, 0)": 143838816343355455627228825614672639639,
+      "(568, 0)": 39190575296848492142221327626836615386,
+      "(569, 0)": 151296918080753581730296211067053482808,
+      "(570, 0)": 13270089066315449719353507490280790645,
+      "(571, 0)": 31546478146451830781104606445062538982,
+      "(572, 0)": 146403816190039212602024520671673208886,
+      "(573, 0)": -126194715618922530521814769568566830827,
+      "(574, 0)": 167876308622698256110531769940126595534,
+      "(575, 0)": 94537717949551111820987884009544103164,
+      "(576, 0)": 91132020946486161407842485869010894463,
+      "(577, 0)": -72699415601509752213384249933024285083,
+      "(578, 0)": -99549812363285969814182438223590590826,
+      "(579, 0)": 118955466017239699300950990000531678560,
+      "(580, 0)": 117473696009552458224728000797204195142,
+      "(581, 0)": -76768892640254460361540198837990407759,
+      "(582, 0)": 87829778823771504829131716165459798902,
+      "(583, 0)": -22767408277705487390875068211575666677,
+      "(584, 0)": -13840777403524625662425714456440880052,
+      "(585, 0)": 45103739548172109224192330683418946622,
+      "(586, 0)": -11291307005673376594972191710244298247,
+      "(587, 0)": -126231492442188213125148186268746334395,
+      "(588, 0)": 68766723854900005626103147019901605203,
+      "(589, 0)": 45161629098996725374816654851978395645,
+      "(590, 0)": -6857173706993157538074548674497757356,
+      "(591, 0)": 35353421533912367297849454197606302984,
+      "(592, 0)": -92523977336804313611454842166729641382,
+      "(593, 0)": 131435972889417498551185801820349633279,
+      "(594, 0)": -21025892173220995341221605331665321759,
+      "(595, 0)": 144730372358736537689125641268452451076,
+      "(596, 0)": -137724331304562991925054402513720291502,
+      "(597, 0)": 22324519524932728091794524743235726502,
+      "(598, 0)": 5328537093951599494657310029110149466,
+      "(599, 0)": -86930497259051491217338242713545766979,
+      "(600, 0)": 84467694340792797390573091789190593702,
+      "(601, 0)": -16900800814740785415458854265568301827,
+      "(602, 0)": 5791442651499726290963703726616502547,
+      "(603, 0)": -48401071351382590502178109649304939781,
+      "(604, 0)": -23701857575231309998690523078654566712,
+      "(605, 0)": -145197088356451341716357041592425456280,
+      "(606, 0)": 66987097346590375726315099716473740317,
+      "(607, 0)": -94451483288855112823833837523352328655,
+      "(608, 0)": 50494673294611566034896235393668434113,
+      "(609, 0)": -165531438273063060541655197482568497963,
+      "(610, 0)": 17180560214429396743834123072593867353,
+      "(611, 0)": 159183972140405939655672291905397735269,
+      "(612, 0)": -160656804413792085838978366425461536903,
+      "(613, 0)": 164251013176477463639059511266381860412,
+      "(614, 0)": -83225335627861817860525419551557585067,
+      "(615, 0)": -19134268559772726850776155534826217726,
+      "(616, 0)": -60153315302721360776605760640129422856,
+      "(617, 0)": -57214522054655968982872015626060272788,
+      "(618, 0)": 108585122643791880791055020383595180666,
+      "(619, 0)": -83974270087391182174023970237274629471,
+      "(620, 0)": 32743999077308106227015597173108907233,
+      "(621, 0)": -100939486718806652974397415203146075295,
+      "(622, 0)": -13971833884713873630606676760556474107,
+      "(623, 0)": -40987919882744959078630995698268337412,
+      "(624, 0)": -35298757319149370913077397622857113178,
+      "(625, 0)": -155703439274062120886010376153661501628,
+      "(626, 0)": 148602157264699539267679273100694409380,
+      "(627, 0)": 111994979807550190608384267122051071902,
+      "(628, 0)": 156028728538593962418291653853610685256,
+      "(629, 0)": 51368207833085284750671895560128331508,
+      "(630, 0)": -31297462582699303437737135634617403375,
+      "(631, 0)": -57808915384350644659990134162740435369,
+      "(632, 0)": 31068678823447670521280147595841180505,
+      "(633, 0)": 95974590473834171502664035146148363087,
+      "(634, 0)": -148880946101213602845527741379666533510,
+      "(635, 0)": 131401930185021352635347139980699617884,
+      "(636, 0)": 40547232872518751949568429036005189966,
+      "(637, 0)": -119579677590813499916846786077880583543,
+      "(638, 0)": -10244016150543405470652064926144794431,
+      "(639, 0)": 77426967613672161081366947928178433859,
+      "(640, 0)": 143102658147448064869093679908392988109,
+      "(641, 0)": -71706327594465183194506459171629837763,
+      "(642, 0)": -21716423397118024799717145797402775272,
+      "(643, 0)": -99209741868007476433386226330690105190,
+      "(644, 0)": 166074207294401966302052302244661944163,
+      "(645, 0)": -84190467884682076479412003631639834201,
+      "(646, 0)": -49936530984840544066332984717248046054,
+      "(647, 0)": -51953275989860591426928070355838162370,
+      "(648, 0)": 63962881312804266943070456104242626327,
+      "(649, 0)": -96285035215793313096631966633245370695,
+      "(650, 0)": 23826645180902563730067338324161481860,
+      "(651, 0)": 58978932411225640017162112893868392011,
+      "(652, 0)": -71577849250468039521288236380347363998,
+      "(653, 0)": 60321938259422794001050310011263315290,
+      "(654, 0)": -131669936901890603824655000733955776673,
+      "(655, 0)": 42195951946018264272277310297653880329,
+      "(656, 0)": 144485473238994540769119137872723084299,
+      "(657, 0)": -132371629261507379126170254588494742283,
+      "(658, 0)": 93200757884002300685759450825166545115,
+      "(659, 0)": -77788728500282692992075224574179184422,
+      "(660, 0)": 26749505204634724718992839080547927482,
+      "(661, 0)": -13868713075972353294339745337584355993,
+      "(662, 0)": -166668867717213441452574923820250362216,
+      "(663, 0)": -39127764512828531053998634157677887037,
+      "(664, 0)": -133435498480252534790505428389353161575,
+      "(665, 0)": -94944953503601592171485227106306236161,
+      "(666, 0)": 55288497875085384525875163645852869844,
+      "(667, 0)": -38830308602089096566090097705394714839,
+      "(668, 0)": -76322017899191845412877444767289685927,
+      "(669, 0)": 105947277126832268805993216684228748247,
+      "(670, 0)": -37030002657399322096925549317269744602,
+      "(671, 0)": 132659347664926314739827551151043811009,
+      "(672, 0)": -54679831772470725110291766428661234881,
+      "(673, 0)": 130222298159660173323626331984289727744,
+      "(674, 0)": 55097091941229985592803598275819915773,
+      "(675, 0)": 50024921436508389311466775228699046300,
+      "(676, 0)": 100676068273962493196341107658095272442,
+      "(677, 0)": 130933331548000313765315372958846898868,
+      "(678, 0)": -158437006647093655076426628214967242768,
+      "(679, 0)": 46007435466179905696727345447646061462,
+      "(680, 0)": 136305981407960823232217712630022874374,
+      "(681, 0)": -32891650771802131352859410925256927024,
+      "(682, 0)": 145795970194176824700125345614461382921,
+      "(683, 0)": -4275578558847631492642058679018514377,
+      "(684, 0)": 129893550787437872108764213500097378980,
+      "(685, 0)": 118955303969210197027352603571385595158,
+      "(686, 0)": 57037239495680113336606385657346737112,
+      "(687, 0)": 111742564297969630477849431546236880502,
+      "(688, 0)": -123598810642648123944312384480414872765,
+      "(689, 0)": -139850085397546783562700903572918567310,
+      "(690, 0)": -34398005297852767184901552699100050044,
+      "(691, 0)": -160268529451879041511989330340556514009,
+      "(692, 0)": 80785586365969248658112705106268245323,
+      "(693, 0)": 49103134866888415205128860717028666416,
+      "(694, 0)": -66008947819344558298157196783602189769,
+      "(695, 0)": 15011479118319453290653762496810800582,
+      "(696, 0)": -155673540532457283417277238822748966119,
+      "(697, 0)": -161682392651922480082416188086857638442,
+      "(698, 0)": 61809387368494170748137778121162089320,
+      "(699, 0)": -18703335330502771176242522171523686141,
+      "(700, 0)": -122552335828685390992865143020437458526,
+      "(701, 0)": -25874871944026625019315775896980401307,
+      "(702, 0)": 106146432128087778383374268591853914812,
+      "(703, 0)": 72305994668214709118853309324496757870,
+      "(704, 0)": -111021265813871549993584208237912162086,
+      "(705, 0)": 68238556303107411543188529250956442104,
+      "(706, 0)": 102666047598924401042848613784408606843,
+      "(707, 0)": 55897818979755968071503515446104054285,
+      "(708, 0)": -143217856666374632317119207581756015360,
+      "(709, 0)": 103953530344256971001179513180161119423,
+      "(710, 0)": -146814428639130131783329196976895875115,
+      "(711, 0)": 93673441771676787573598506959745133040,
+      "(712, 0)": -115265555614253888203966758960941257741,
+      "(713, 0)": -20998072980573279808845161416979466232,
+      "(714, 0)": 138667198815083705231093791878907676766,
+      "(715, 0)": -41607819040353431368576904339774336438,
+      "(716, 0)": 76173400008101651138228036525064594838,
+      "(717, 0)": 109028301988090427366168062932971930483,
+      "(718, 0)": -106853147266977857713204814600270568359,
+      "(719, 0)": -52546278626774846937463006374157266957,
+      "(720, 0)": 8632241966951064656643128575871395701,
+      "(721, 0)": -89079620473387902575406535770724228291,
+      "(722, 0)": 128234098635069785605332824273708422896,
+      "(723, 0)": 108536241107293988535616147574541220894,
+      "(724, 0)": 98592632828655787099700086079323733428,
+      "(725, 0)": 25635608898736233445135521622528546488,
+      "(726, 0)": -18599823324707243765121419854611011146,
+      "(727, 0)": -57938594383444270286115715690576083619,
+      "(728, 0)": -20978286824735108572097013169269037299,
+      "(729, 0)": -113944894118820026439357742199705652003,
+      "(730, 0)": 24315072076704846777538179375689179708,
+      "(731, 0)": -90292269861020716144734285833733703258,
+      "(732, 0)": -87872804077211657732433841358156805445,
+      "(733, 0)": 160644190927125402977070703471778899303,
+      "(734, 0)": -159892367963917899422704786918732694378,
+      "(735, 0)": -5540684682924934921342855154538570314,
+      "(736, 0)": -112180811026334101200537708154540526244,
+      "(737, 0)": 96762995469166616353496009042087541011,
+      "(738, 0)": 103238765458263096343036219191507104055,
+      "(739, 0)": -39203114899737705062305201092167483672,
+      "(740, 0)": -5036512610762760851461206577474670940,
+      "(741, 0)": 38821524602936873651868659038167344177,
+      "(742, 0)": 68242488652667147985405200861687208296,
+      "(743, 0)": 152510737150590202270242123382855821551,
+      "(744, 0)": -126867530967109499383717536445952078474,
+      "(745, 0)": -41519747054801735345843999274394924328,
+      "(746, 0)": 30456797800728897068129599513974163736,
+      "(747, 0)": -92348981405314762394351222186299701575,
+      "(748, 0)": 101534645648681791329168023848594119892,
+      "(749, 0)": -39381457209566035107470433058632572470,
+      "(750, 0)": 80633107223830588774363049937917525478,
+      "(751, 0)": 43737478285091495873103074390014240729,
+      "(752, 0)": -154699486355729127993435313183871989636,
+      "(753, 0)": -131430821669692099183441667624221394152,
+      "(754, 0)": -69333061342818777499114393910135458233,
+      "(755, 0)": -36852578295663122481010501434540754710,
+      "(756, 0)": -13235659769147043515008975863911675019,
+      "(757, 0)": 42104446815161553616467895402637638060,
+      "(758, 0)": 141363767270084587810573687995492084754,
+      "(759, 0)": -88574933780786105079134785378471071906,
+      "(760, 0)": -87684348253026713385536763014748974057,
+      "(761, 0)": -76145288268527560022737331527556433592,
+      "(762, 0)": 90012789292592915911950323951357077618,
+      "(763, 0)": 74322857034146026188735725944464743288,
+      "(764, 0)": -30409004869900927665529449393418370568,
+      "(765, 0)": 137579042156066881156454334663461880673,
+      "(766, 0)": -166149569734372313918397462972685333300,
+      "(767, 0)": 33325380128638854568801312047974900363,
+      "(768, 0)": -116634262388109264681752733314040490297,
+      "(769, 0)": 163467784115724085423874434993843554121,
+      "(770, 0)": -132580985646153666900342700895989154729,
+      "(771, 0)": 132232976803680126888551102635051029923,
+      "(772, 0)": -52689326438885641606982136772961982257,
+      "(773, 0)": 34293663999611707558041531898889639970,
+      "(774, 0)": -53843680606165314452968980161536120610,
+      "(775, 0)": 27270736485556967887064455185957620815,
+      "(776, 0)": 151386001984176495978092149232917206269,
+      "(777, 0)": 70632599181886317676503231951369691567,
+      "(778, 0)": 46680902890133367728754901122071490040,
+      "(779, 0)": 96359827198184532168203849766558095761,
+      "(780, 0)": -146357244590775925262790284255734987651,
+      "(781, 0)": 154493324337844332293427507676746613836,
+      "(782, 0)": 14584649639000144304575295228587759594,
+      "(783, 0)": -24051198074693977099695984633376668109,
+      "(784, 0)": 8473934315471309472542984630487738468,
+      "(785, 0)": -88379487366556486295406376218326178330,
+      "(786, 0)": -48567395901379205796608137532836730240,
+      "(787, 0)": -46526071043583047658566411670219882328,
+      "(788, 0)": 115155924416149686490183141970084950576,
+      "(789, 0)": 169879088961188354578135809405365472244,
+      "(790, 0)": -3065114487702546919606580902417540780,
+      "(791, 0)": 3635352685947913029620789810677029274,
+      "(792, 0)": -139359793676381716912179640155292498970,
+      "(793, 0)": -94401537852858700692572192876156358832,
+      "(794, 0)": -133043580123936369451381038244391535404,
+      "(795, 0)": -17544629266429194637370800774661569725,
+      "(796, 0)": 146242889995621147565796237098244357720,
+      "(797, 0)": 30168722440792092658906364869013752208,
+      "(798, 0)": -157020591677168485093321152949141129467,
+      "(799, 0)": -123463886358173354985088990863266054196,
+      "(800, 0)": -164342040070871170843219758668825564832,
+      "(801, 0)": 84665652562473825281407750393657139172,
+      "(802, 0)": -36887804221629364251095167124704329424,
+      "(803, 0)": 15377357570036672370925116431607603943,
+      "(804, 0)": 40202565660682346245703943344084319774,
+      "(805, 0)": 56621051031946670914634190090569742566,
+      "(806, 0)": 68998911230011820913207446444505918539,
+      "(807, 0)": 86739469792089327477497318640611059270,
+      "(808, 0)": -56467207209400346144985020924256918332,
+      "(809, 0)": 114722189346433287354970903565552528015,
+      "(810, 0)": -121051481704701846247251477085830767582,
+      "(811, 0)": -65306001863306589775101974977738383503,
+      "(812, 0)": 54794263982771118272417684598557132432,
+      "(813, 0)": 154090890439833958786433141181778633034,
+      "(814, 0)": -117944408818415420571521001176029900598,
+      "(815, 0)": -147986383035956505841560940215326443248,
+      "(816, 0)": -24124946180953357651698672325777961797,
+      "(817, 0)": 113728374602525486854705966972317131552,
+      "(818, 0)": 17902080736320743990048164838871418256,
+      "(819, 0)": -106208121433294220440721847495833743253,
+      "(820, 0)": -138934262372310152055396418590265213729,
+      "(821, 0)": -96412411531319121733223916513849598124,
+      "(822, 0)": -82021707724436268684382711201299588702,
+      "(823, 0)": -125742079489748439613305964247388853097,
+      "(824, 0)": -152991553409103830340224853172954203080,
+      "(825, 0)": -79567596077661657539252435713736065669,
+      "(826, 0)": -70372013400650077766954679498422666252,
+      "(827, 0)": 75700908037669465688687211939186910363,
+      "(828, 0)": 87286888731608470640229238768980302282,
+      "(829, 0)": -99900013255686486241257735511015357572,
+      "(830, 0)": 137528600713626187984942844404976314477,
+      "(831, 0)": -36102022323322024105486953133693334007,
+      "(832, 0)": 64158155999248162252377377905011644794,
+      "(833, 0)": -66368610668949394842111501146174649688,
+      "(834, 0)": 62273554819502062542067509873818845702,
+      "(835, 0)": 9986817014994610177557736333654338559,
+      "(836, 0)": -135618956105960760367651504517207502080,
+      "(837, 0)": -67310368645119518081897023017911442214,
+      "(838, 0)": -60580965546029891669836179143357461217,
+      "(839, 0)": -16839884982708883667560395672884196178,
+      "(840, 0)": -131061138354805255383107775132247252127,
+      "(841, 0)": 149495458749452835788875226563467335706,
+      "(842, 0)": -2332201251835045209982347355492478844,
+      "(843, 0)": 34672763202207295511361325387400583582,
+      "(844, 0)": -63345366439793790434535089199743984119,
+      "(845, 0)": -19975219682430007045003530563061736041,
+      "(846, 0)": -19649456692341693149811773496950554468,
+      "(847, 0)": -54955767326179667115944630717750077922,
+      "(848, 0)": -36301637677440570041557364670729433151,
+      "(849, 0)": -23265236572400358349087124865802529621,
+      "(850, 0)": -11526305800888677506088324455956654384,
+      "(851, 0)": 102203964667406634182620183815610740181,
+      "(852, 0)": 89716399093951700551388642466674675239,
+      "(853, 0)": 129971425025857379323610701145029238295,
+      "(854, 0)": -110558905263428317534405273065535185977,
+      "(855, 0)": -43442795916294247964098944178926657741,
+      "(856, 0)": -82078882609191454887057577502332722530,
+      "(857, 0)": 31159065848295360384282248392887538787,
+      "(858, 0)": -21662483055092868885142008727264245907,
+      "(859, 0)": -166717456214770038476987039939117552782,
+      "(860, 0)": -166417933394777417985917081316022872177,
+      "(861, 0)": -131663553485736907064090696352593036794,
+      "(862, 0)": -132835976782750203556743080848508333856,
+      "(863, 0)": -9341250422138467138266027822915257770,
+      "(864, 0)": 90793487633952365236980574748582382495,
+      "(865, 0)": 28283677778330720570875770140293296033,
+      "(866, 0)": 154596484485577077276546511710292645690,
+      "(867, 0)": -112727520513731396697448453411897463222,
+      "(868, 0)": -109816986315935495362175788788554892590,
+      "(869, 0)": 158186962789226913388921194291965597505,
+      "(870, 0)": -89021912426681080409036565305657585231,
+      "(871, 0)": 52754565653812980175518796024307172743,
+      "(872, 0)": 60309709376160427682115060231512421942,
+      "(873, 0)": -46862502241845243910669480508749092925,
+      "(874, 0)": 28807102067685643105321481810413101014,
+      "(875, 0)": -96212324929105928122296957314028858736,
+      "(876, 0)": 3670931811459528,
+      "(877, 0)": -74927100548879103577168617728673172161,
+      "(878, 0)": -321304393872,
+      "(880, 0)": 8168202
+    }
+  ]
+}