CoCalc Public Fileswww / tables / charpoly_s6_101-200.gp
Author: William A. Stein
1\\ charpoly_s6.gp
2\\ This is a table of characteristic polynomials of the
3\\ Hecke operators T_p acting on the space S_6(Gamma_0(N))
4\\ of weight 6 cusp forms for Gamma_0(N).
5\\ William Stein ([email protected]), October, 1998.
6
7{
8T=matrix(200,5,m,n,0);
9T[101,2]=(x^24 -7*x^23 -599*x^22 + 4011*x^21 + 154811*x^20 -991655*x^19 -22550633*x^18 + 138496069*x^17 + 2026498820*x^16 -12003366802*x^15 -115309033592*x^14 + 666560201496*x^13 + 4082981129696*x^12 -23559850242976*x^11 -83857592548736*x^10 + 505906942495104*x^9 + 828991943591424*x^8 -5916616243058176*x^7 -1757171839412224*x^6 + 30003578336135168*x^5 -8712945984626688*x^4 -58705852593004544*x^3 + 25463390216421376*x^2 + 34171963437711360*x -7836207938666496)*(x^17 + 5*x^16 -331*x^15 -1545*x^14 + 43807*x^13 + 193541*x^12 -2980005*x^11 -12716059*x^10 + 112108164*x^9 + 473081298*x^8 -2331825828*x^7 -10063847192*x^6 + 24676094384*x^5 + 115934888672*x^4 -97291914688*x^3 -606927437184*x^2 -72884755200*x + 757041960960);
10T[101,3]=(x^24 -44*x^23 -3217*x^22 + 155314*x^21 + 4286731*x^20 -234002520*x^19 -3069707636*x^18 + 197427054766*x^17 + 1287084458058*x^16 -102871798113268*x^15 -330764741971093*x^14 + 34467262918976864*x^13 + 58647833588676447*x^12 -7505386784714523924*x^11 -9877301095609978737*x^10 + 1048765694116181134706*x^9 + 1722647886508688472128*x^8 -90087878964641092760544*x^7 -208808170358711294356479*x^6 + 4359573694392017777292348*x^5 + 13046762213462330278875504*x^4 -103560173036228498195150784*x^3 -361842581949254233984493568*x^2 + 909201003838984751069085696*x + 3473630806355179630699216896)*(x^17 + 46*x^16 -1426*x^15 -82872*x^14 + 664477*x^13 + 58414370*x^12 -80895714*x^11 -20432078228*x^10 -18793417618*x^9 + 3717467717792*x^8 + 5063948076072*x^7 -334012315849488*x^6 -321867490854195*x^5 + 11903487639296742*x^4 + 2434863615634908*x^3 -26756482813924536*x^2 + 9882616324194432*x -862770618201600);
11T[101,5]=(x^24 -21*x^23 -48738*x^22 + 1010802*x^21 + 1008203758*x^20 -20406760318*x^19 -11617690244705*x^18 + 226137931644547*x^17 + 82331571285283990*x^16 -1522805180942211238*x^15 -373915539883598137927*x^14 + 6556046572904579285719*x^13 + 1099598996436651732388966*x^12 -18501670809391475529980282*x^11 -2067663760125746599412868166*x^10 + 34233685794926064652519607368*x^9 + 2397957830721247895129453953055*x^8 -40028259155635458259044432749647*x^7 -1594902100108465799742129059840065*x^6 + 27116571845031954065879112426584463*x^5 + 526837509989432090968479730739930201*x^4 -9002408193932114720855044306654776873*x^3 -63759173124118625305739603159025204078*x^2 + 1056061478030150649355308989442313032980*x + 362383329752675447485339717412371271208)*(x^17 + 79*x^16 -23963*x^15 -1700957*x^14 + 213565723*x^13 + 13034036077*x^12 -891879318371*x^11 -44151166998089*x^10 + 1818438304623020*x^9 + 72272755331463880*x^8 -1618836942247067306*x^7 -60566960801534721474*x^6 + 437130522544878899233*x^5 + 22280939273114307616887*x^4 + 77443238728854696354747*x^3 -1330664004735562938447947*x^2 -4213064186201268393595584*x + 19202467478076864942189044);
12
13T[102,2]=(x^4 + 7*x^3 + 40*x^2 + 224*x + 1024)*(x^6 -5*x^5 + 42*x^4 -64*x^3 + 1344*x^2 -5120*x + 32768)*(x^8 -5*x^7 + 20*x^6 + 46*x^5 -156*x^4 + 1472*x^3 + 20480*x^2 -163840*x + 1048576)*(x^10 -x^9 + 22*x^8 -6*x^7 -704*x^6 + 4184*x^5 -22528*x^4 -6144*x^3 + 720896*x^2 -1048576*x + 33554432)*(x^2 -x + 32)^2*(x^8 -3*x^7 + 34*x^6 -4*x^5 + 1096*x^4 -128*x^3 + 34816*x^2 -98304*x + 1048576)^2*(x^2 + 6*x + 32)^4*(x + 4)^14*(x -4)^16;
14T[102,3]=(x^2 + 14*x + 243)*(x^4 + 6*x^3 + 452*x^2 + 1458*x + 59049)*(x^4 + 6*x^3 -126*x^2 + 1458*x + 59049)*(x^6 -4*x^5 -69*x^4 + 4284*x^3 -16767*x^2 -236196*x + 14348907)*(x^2 -10*x + 243)^2*(x^2 + 18*x + 243)^2*(x^8 -28*x^7 + 844*x^6 -15564*x^5 + 305142*x^4 -3782052*x^3 + 49837356*x^2 -401769396*x + 3486784401)^2*(x -9)^23*(x + 9)^23;
15T[102,5]=(x -25)*(x -81)*(x -9)*(x + 9)*(x + 81)*(x^2 + 25*x -4896)*(x^2 + 53*x -1028)*(x^3 -53*x^2 -3632*x + 156684)*(x + 74)^2*(x + 66)^2*(x^2 + 113*x + 2286)^2*(x^2 -32*x -4044)^2*(x^3 + 37*x^2 -4652*x + 76864)^2*(x^5 -4*x^4 -8711*x^3 + 63926*x^2 + 16619964*x -301530168)^2*(x^2 + 36*x -780)^2*(x^3 -144*x^2 + 4404*x -29376)^2*(x^4 -146*x^3 + 2833*x^2 + 185428*x + 1275648)^2*(x + 16)^4*(x -6)^4*(x + 72)^4*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^4;
16
17T[103,2]=(x^24 -19*x^23 -419*x^22 + 9574*x^21 + 64659*x^20 -2043394*x^19 -3398640*x^18 + 239585761*x^17 -214180746*x^16 -16704792797*x^15 + 41273036213*x^14 + 697762510415*x^13 -2529507053148*x^12 -16566546856212*x^11 + 78154874802400*x^10 + 191144754745984*x^9 -1237656933239904*x^8 -543103453034048*x^7 + 9234344215651200*x^6 -5564142069137152*x^5 -27134445050058752*x^4 + 32855121895358464*x^3 + 14647084187346944*x^2 -29506283599060992*x + 5803758485004288)*(x^19 + 21*x^18 -219*x^17 -6866*x^16 + 7619*x^15 + 904109*x^14 + 1780379*x^13 -61630728*x^12 -217708300*x^11 + 2326547520*x^10 + 10632881920*x^9 -48011813472*x^8 -264199632832*x^7 + 494335819648*x^6 + 3347848666880*x^5 -2002575517696*x^4 -19445356736512*x^3 + 1353934710784*x^2 + 35721580871680*x -11728258555904);
18T[103,3]=(x^24 -16*x^23 -4189*x^22 + 60542*x^21 + 7620180*x^20 -95877004*x^19 -7936130368*x^18 + 82757454740*x^17 + 5243464575924*x^16 -42452746274216*x^15 -2293723521062672*x^14 + 13203322471633104*x^13 + 670366812428190999*x^12 -2422943259734918880*x^11 -128728827660160400499*x^10 + 242542230406453788930*x^9 + 15591424440020987257344*x^8 -11996941239641464789536*x^7 -1113940090486077710631840*x^6 + 505714569080579423235648*x^5 + 42214760767239544283812416*x^4 -44210993802395647914972288*x^3 -659056782719007812736430848*x^2 + 1615196581469033003205207552*x -565208812852819552277379072)*(x^19 + 38*x^18 -1975*x^17 -80618*x^16 + 1579464*x^15 + 68567784*x^14 -699497180*x^13 -30194440072*x^12 + 207198121808*x^11 + 7408274628580*x^10 -44998375652556*x^9 -995579516720580*x^8 + 6493560125781355*x^7 + 63917318707705526*x^6 -481333196126973733*x^5 -1270357251382534970*x^4 + 10804525388470067424*x^3 + 16040655039461002056*x^2 -83919228320239910784*x -146073189854003980320);
19T[103,5]=(x^24 -153*x^23 -37420*x^22 + 6237173*x^21 + 592941289*x^20 -109877407452*x^19 -5160191855069*x^18 + 1094387227457135*x^17 + 26682996405676109*x^16 -6767642107670350868*x^15 -82450465782413802445*x^14 + 26851038196254123623695*x^13 + 144591465431062176853460*x^12 -68186519879554721226627835*x^11 -133188025257128259502970905*x^10 + 107131027494996069111259074042*x^9 + 109524101621877235504191509804*x^8 -96471666278324673468196330267320*x^7 -220928392147007789346287722383824*x^6 + 42378519010000300547663498535368608*x^5 + 232403093583548250482228035776215104*x^4 -5973272428718973489807753670499457152*x^3 -41869158952614501052503344108314228480*x^2 + 53406790152107336335091064885396490752*x + 321830583066833603276495045994473957376)*(x^19 + 147*x^18 -19570*x^17 -3371059*x^16 + 145518507*x^15 + 30790129652*x^14 -600747140197*x^13 -149513507501849*x^12 + 1845874152219047*x^11 + 423025777471347988*x^10 -4850251703063489149*x^9 -703450254614088320905*x^8 + 9037155234084279851702*x^7 + 654430048796544556100601*x^6 -9185648626794763477062675*x^5 -313377076723095618714623950*x^4 + 4095986907273555141284022164*x^3 + 73773178213641692375238108456*x^2 -617251957975990950598361436080*x -7779875157358075980413359483456);
20
21T[104,2]=(x^4 + 5*x^3 + 66*x^2 + 160*x + 1024)*(x^6 -7*x^5 + 12*x^4 -4*x^3 + 384*x^2 -7168*x + 32768)*(x -4)^2*(x + 4)^3*(x )^51;
22T[104,3]=(x + 23)*(x^2 -23*x + 48)*(x^3 + 20*x^2 -201*x -180)*(x^5 -9*x^4 -857*x^3 + 3665*x^2 + 162912*x -232272)*(x^4 + 11*x^3 -433*x^2 -7211*x -24432)*(x + 5)^2*(x -20)^2*(x -17)^2*(x^3 -12*x^2 -813*x + 11232)^2*(x^2 -9*x -676)^3*(x^2 -9*x -192)^3*(x )^3*(x + 12)^4*(x^2 + 28*x + 43)^4*(x^3 -8*x^2 -237*x + 2196)^4;
23T[104,5]=(x + 9)*(x^2 + 47*x -1554)*(x^3 -56*x^2 -851*x + 58906)*(x^5 -19*x^4 -11677*x^3 + 273163*x^2 + 33187576*x -957050644)*(x^4 -31*x^3 -7347*x^2 + 38203*x + 10183118)*(x + 91)^2*(x + 3)^2*(x + 74)^2*(x^3 -8*x^2 -8587*x -139906)^2*(x + 14)^3*(x^2 + 37*x -354)^3*(x^2 -73*x -578)^3*(x -54)^4*(x^2 + 42*x -6359)^4*(x^3 -56*x^2 -4131*x + 73386)^4;
24
25T[105,2]=(x^2 + 8*x -4)*(x^2 -x -58)*(x^2 + 4*x -28)*(x^2 -3*x -14)*(x^2 + 13*x + 26)*(x^2 + x -18)*(x^4 -8*x^3 -89*x^2 + 640*x -540)*(x^4 -10*x^3 -71*x^2 + 656*x + 156)*(x -7)^2*(x + 8)^2*(x -10)^2*(x -1)^2*(x -5)^2*(x + 2)^2*(x^2 + x -102)^2*(x^2 -x -16)^2*(x^4 -7*x^3 -64*x^2 + 250*x + 964)^2*(x^3 + 6*x^2 -86*x -420)^2*(x -2)^4*(x + 10)^4*(x^2 -9*x + 6)^4*(x + 6)^6;
26T[105,3]=(x^6 -26*x^5 + 458*x^4 -6580*x^3 + 111294*x^2 -1535274*x + 14348907)*(x^2 -x + 243)*(x^8 -14*x^7 + 197*x^6 + 1770*x^5 -23940*x^4 + 430110*x^3 + 11632653*x^2 -200884698*x + 3486784401)*(x^4 -3*x^3 + 342*x^2 -729*x + 59049)*(x^2 + 14*x + 243)^2*(x^4 + 6*x^3 -18*x^2 + 1458*x + 59049)^2*(x^2 + 4*x + 243)^2*(x -9)^20*(x + 9)^20;
27T[105,5]=(x^2 -94*x + 3125)*(x^2 + 34*x + 3125)*(x^2 -78*x + 3125)*(x^2 + 106*x + 3125)*(x^2 + 56*x + 3125)^2*(x^2 -6*x + 3125)^2*(x^4 + 18*x^3 + 4906*x^2 + 56250*x + 9765625)^2*(x + 25)^24*(x -25)^28;
28
29T[106,2]=(x^18 + 4*x^17 + 112*x^16 + 478*x^15 + 8223*x^14 + 30598*x^13 + 425000*x^12 + 1453904*x^11 + 16997616*x^10 + 51740384*x^9 + 543923712*x^8 + 1488797696*x^7 + 13926400000*x^6 + 32084328448*x^5 + 275918094336*x^4 + 513248591872*x^3 + 3848290697216*x^2 + 4398046511104*x + 35184372088832)*(x^24 -8*x^23 + 112*x^22 -738*x^21 + 6565*x^20 -31416*x^19 + 231000*x^18 -962848*x^17 + 7591360*x^16 -33918464*x^15 + 316689536*x^14 -1482446336*x^13 + 11661485824*x^12 -47438282752*x^11 + 324290084864*x^10 -1111440228352*x^9 + 7960117903360*x^8 -32307817742336*x^7 + 248034361344000*x^6 -1079445540569088*x^5 + 7218293836349440*x^4 -25966066601558016*x^3 + 126100789566373888*x^2 -288230376151711744*x + 1152921504606846976)*(x -4)^11*(x + 4)^12;
30T[106,3]=(x^4 + 8*x^3 -460*x^2 -1310*x -3)*(x^6 + 17*x^5 -812*x^4 -7180*x^3 + 193369*x^2 -261565*x -4057746)*(x^6 -10*x^5 -1028*x^4 + 2166*x^3 + 290925*x^2 + 752598*x -13558752)*(x^7 -19*x^6 -1162*x^5 + 22276*x^4 + 331341*x^3 -6067089*x^2 -26335908*x + 449940420)*(x^9 + 47*x^8 -135*x^7 -32005*x^6 -295673*x^5 + 4643673*x^4 + 73976451*x^3 + 122228865*x^2 -2094897060*x -7975001124)^2*(x^12 -43*x^11 -1044*x^10 + 62082*x^9 + 111402*x^8 -29768132*x^7 + 166108016*x^6 + 5051363974*x^5 -46071715223*x^4 -168749172933*x^3 + 1854107521056*x^2 + 2417269719780*x -14585088789360)^2;
31T[106,5]=(x^4 + 136*x^3 + 756*x^2 -258524*x + 2741256)*(x^7 -89*x^6 -11598*x^5 + 862452*x^4 + 47187228*x^3 -2153504952*x^2 -70574565456*x + 238137495264)*(x^6 + 86*x^5 -6760*x^4 -426140*x^3 + 9485480*x^2 + 80494064*x -1423949856)*(x^6 -39*x^5 -12006*x^4 + 339896*x^3 + 15653844*x^2 -295124448*x -4894417680)*(x^9 + 14*x^8 -14231*x^7 -355428*x^6 + 62853152*x^5 + 1990155440*x^4 -86316912640*x^3 -2858749124352*x^2 + 23768028730368*x + 615244319870976)^2*(x^12 -86*x^11 -18635*x^10 + 1782680*x^9 + 105125060*x^8 -12475004660*x^7 -140635112360*x^6 + 35322848663760*x^5 -370950409526320*x^4 -33807456126350080*x^3 + 799656789715617024*x^2 -2599455847805372864*x -7149157363935803520)^2;
32
33T[107,2]=(x^19 + 8*x^18 -384*x^17 -2873*x^16 + 61303*x^15 + 427814*x^14 -5249698*x^13 -34392857*x^12 + 259520338*x^11 + 1630380420*x^10 -7404628776*x^9 -46643966624*x^8 + 113265803392*x^7 + 785161248960*x^6 -693053812096*x^5 -7081627270400*x^4 -1712036760064*x^3 + 26056268165120*x^2 + 26871520698368*x -805465325568)*(x^25 -4*x^24 -624*x^23 + 2439*x^22 + 168995*x^21 -646338*x^20 -26067424*x^19 + 97862373*x^18 + 2523791356*x^17 -9349907418*x^16 -159102536656*x^15 + 586333287420*x^14 + 6539035262400*x^13 -24260273319496*x^12 -169641314369184*x^11 + 646160649269664*x^10 + 2555106483981184*x^9 -10402371306805632*x^8 -18004598063872512*x^7 + 88922184170921984*x^6 + 13081636488226816*x^5 -300022307632322560*x^4 + 289250824447672320*x^3 -42921998562254848*x^2 -21966973640245248*x -1440484380540928);
34T[107,3]=(x^19 + 35*x^18 -2293*x^17 -81867*x^16 + 2141472*x^15 + 76152899*x^14 -1092754929*x^13 -36216832062*x^12 + 349839818969*x^11 + 9363655899563*x^10 -75179070650024*x^9 -1269248471175735*x^8 + 10340504067950136*x^7 + 74058987927004083*x^6 -733844012427459468*x^5 -394051066564119480*x^4 + 15047196774551358624*x^3 -35382048543491652900*x^2 + 19375873904686172400*x + 6673163768957646000)*(x^25 -55*x^24 -2851*x^23 + 197132*x^22 + 2892034*x^21 -301807512*x^20 -816806702*x^19 + 259469633310*x^18 -744060321353*x^17 -138553376786621*x^16 + 801658300309264*x^15 + 47957932498811281*x^14 -348368177237457724*x^13 -10875979342628654791*x^12 + 84928630426050167512*x^11 + 1588818591825727339309*x^10 -12234923586189928892782*x^9 -141524057765484230833161*x^8 + 1019604716217529410599217*x^7 + 6727529672125202846884680*x^6 -45371498333451791517230220*x^5 -112281085252435380483505572*x^4 + 848421424599895555043244804*x^3 -1028502983803146852560181264*x^2 -17796182485766303214189936*x + 11578381016820406786745280);
35T[107,5]=(x^19 + 201*x^18 -9407*x^17 -3734098*x^16 -11653489*x^15 + 29215907789*x^14 + 445127849910*x^13 -126534709262585*x^12 -2200140204554445*x^11 + 329497212017199422*x^10 + 5281257860201582749*x^9 -521037002544895273517*x^8 -7330005922692620266275*x^7 + 481850884767435651770940*x^6 + 6314207012478873580763820*x^5 -236350538293083905709823064*x^4 -3265125870610979691326526176*x^3 + 45445704751987628227262628928*x^2 + 770707411521024012251965229312*x + 1603202686931772166784633001984)*(x^25 -149*x^24 -41007*x^23 + 6735328*x^22 + 682583011*x^21 -128313570481*x^20 -5961977187462*x^19 + 1353573003360099*x^18 + 29672232421533019*x^17 -8745555486815027652*x^16 -88458489776864590107*x^15 + 36169872146851289168125*x^14 + 187658163660820283922625*x^13 -96971892145033445305297510*x^12 -432940784353445689579722560*x^11 + 165576340077528160544342734032*x^10 + 1028122482225259121638224992432*x^9 -168743644121815405577706432190944*x^8 -1507390414383389153509704062553024*x^7 + 87522093266149764752783891492335232*x^6 + 952746947802086647027258935220389376*x^5 -15038669168824000734541668394522781696*x^4 -100486626256521801566277167086162587648*x^3 + 980456351657154298937154105030620045312*x^2 -927839937754977471003371835388599238656*x -770555380605795534401060985491140509696);
36
37T[108,2]=(x^2 + 32)*(x^4 -9*x^3 + 46*x^2 -288*x + 1024)*(x^4 + 9*x^3 + 46*x^2 + 288*x + 1024)*(x^4 + 10*x^2 + 1024)*(x^2 -6*x + 32)^2*(x^2 + 6*x + 32)^3*(x + 4)^7*(x -4)^8*(x )^42;
38T[108,3]=(x^2 + 12*x + 243)*(x + 9)^2*(x -9)^3*(x )^74;
39T[108,5]=(x^2 -7776)*(x + 24)^2*(x + 84)^2*(x -33)^2*(x -84)^2*(x -24)^2*(x + 54)^2*(x + 33)^2*(x^2 -3321)^2*(x^2 + 72*x -2529)^3*(x^2 -3456)^3*(x^2 -72*x -2529)^3*(x + 96)^4*(x -66)^4*(x -54)^4*(x -96)^4*(x + 6)^6*(x + 66)^6*(x )^6*(x -6)^9;
40
41T[109,2]=(x^21 + 8*x^20 -448*x^19 -3385*x^18 + 84950*x^17 + 606997*x^16 -8870710*x^15 -60332735*x^14 + 555836869*x^13 + 3644011307*x^12 -21337247142*x^11 -137561761280*x^10 + 489572347552*x^9 + 3206500968368*x^8 -6172079579936*x^7 -43748874985472*x^6 + 33899714482816*x^5 + 310099431910144*x^4 -16532082309120*x^3 -875846081708032*x^2 -86180048689152*x + 756928252850176)*(x^24 -12*x^23 -528*x^22 + 6535*x^21 + 117834*x^20 -1529001*x^19 -14348272*x^18 + 200779557*x^17 + 1017928821*x^16 -16211117863*x^15 -40422046224*x^14 + 828380062384*x^13 + 656729042896*x^12 -26532598088512*x^11 + 10526876515520*x^10 + 507343151546496*x^9 -631389931520896*x^8 -5197780470996736*x^7 + 9348921179637760*x^6 + 23336839865245696*x^5 -44386433712955392*x^4 -53159855072993280*x^3 + 76855708493070336*x^2 + 58147502384185344*x -25621001963864064);
42T[109,3]=(x^21 + 64*x^20 -1110*x^19 -140997*x^18 -541715*x^17 + 123030081*x^16 + 1352365010*x^15 -55242134544*x^14 -813553407474*x^13 + 13947204017210*x^12 + 237906324475763*x^11 -2046085177687932*x^10 -37287917213160915*x^9 + 177796595486888033*x^8 + 3073326769657946316*x^7 -9350129765134917740*x^6 -120089727887449354104*x^5 + 272670149195234849160*x^4 + 1835101973237978666016*x^3 -3859040390088242701296*x^2 -8282401883937917196912*x + 17340532116689497782672)*(x^24 -44*x^23 -3162*x^22 + 155787*x^21 + 4063389*x^20 -235992979*x^19 -2675116026*x^18 + 200954994888*x^17 + 888356001934*x^16 -106314648363902*x^15 -75420912284693*x^14 + 36449309673898280*x^13 -48496082805874311*x^12 -8187898171376625531*x^11 + 19264379537583089640*x^10 + 1188290975826109160340*x^9 -3206377137693356864496*x^8 -106595498167005902986224*x^7 + 277266873871596787856928*x^6 + 5383086719484619023062400*x^5 -12379005525239729895587328*x^4 -126677365997777908729500672*x^3 + 272528166459270436077883392*x^2 + 1012225678866691424331448320*x -2308728299494486189400064000);
43T[109,5]=(x^24 -182*x^23 -32100*x^22 + 7045493*x^21 + 396384196*x^20 -116058499593*x^19 -2179776773031*x^18 + 1066218539307979*x^17 + 2431100346702620*x^16 -6002681050805209950*x^15 + 33687380145509222555*x^14 + 21365341069734812274248*x^13 -194537689405801901917026*x^12 -47686659741192284654048961*x^11 + 481810325599124508906913663*x^10 + 63688738640100224934685646303*x^9 -609737822185414067428245867749*x^8 -45927992497826603124270567818454*x^7 + 357107849279230992052997939250105*x^6 + 14430520480896837370785339477707145*x^5 -57307470685765644742243895973746346*x^4 -1285127724385070695554424853911495596*x^3 -3623161405427875521339374778588163224*x^2 -397994303732044481325980521876908432*x + 2248923511443950791258928461036026336)*(x^21 + 218*x^20 -15525*x^19 -5880091*x^18 -8217927*x^17 + 63256645860*x^16 + 1376157928430*x^15 -354613882236015*x^14 -9510443220091134*x^13 + 1146126878847263017*x^12 + 26845853062761683643*x^11 -2211490313005467659201*x^10 -32491879090713502853275*x^9 + 2448271803791260050858586*x^8 + 11555022796776467449051492*x^7 -1349642633681629356934632625*x^6 + 2709836753604302713334363535*x^5 + 322301082576194439208048789815*x^4 -1875997288936177484963850915736*x^3 -23225627441901653183428804834332*x^2 + 182603279565837923043495055166496*x -318185371766616875800128190665232);
44
45T[110,2]=(x^8 + 5*x^7 + 46*x^6 + 180*x^5 + 2120*x^4 + 5760*x^3 + 47104*x^2 + 163840*x + 1048576)*(x^12 -3*x^11 + 43*x^10 -171*x^9 + 322*x^8 -2924*x^7 -24936*x^6 -93568*x^5 + 329728*x^4 -5603328*x^3 + 45088768*x^2 -100663296*x + 1073741824)*(x^10 -9*x^9 + 63*x^8 -479*x^7 + 2532*x^6 -12020*x^5 + 81024*x^4 -490496*x^3 + 2064384*x^2 -9437184*x + 33554432)*(x^6 + 7*x^5 + 52*x^4 + 180*x^3 + 1664*x^2 + 7168*x + 32768)*(x^2 + 4*x + 32)^2*(x^2 -2*x + 32)^2*(x^6 + 6*x^4 + 188*x^3 + 192*x^2 + 32768)^2*(x + 4)^15*(x -4)^15;
46T[110,3]=(x + 2)*(x -2)*(x + 12)*(x -12)*(x^2 -21*x -112)*(x^2 + 3*x -328)*(x^3 -25*x^2 -158*x + 4632)*(x^3 + 7*x^2 -446*x -3984)*(x -24)^2*(x + 29)^2*(x -6)^2*(x + 21)^2*(x + 26)^2*(x -1)^2*(x^2 -29*x + 12)^2*(x^4 -497*x^2 -1800*x + 32104)^2*(x^3 + 36*x^2 + 159*x -2356)^2*(x^5 -1137*x^3 + 720*x^2 + 285984*x -1140480)^2*(x^6 -1145*x^4 + 840*x^3 + 276192*x^2 -164160*x -18180288)^2*(x + 4)^4*(x + 15)^4*(x^3 -34*x^2 + 217*x + 1212)^4;
47T[110,5]=(x^2 + 51*x + 3125)*(x^2 + 31*x + 3125)*(x^4 + 13*x^3 + 1336*x^2 + 40625*x + 9765625)*(x^2 -81*x + 3125)*(x^2 + 19*x + 3125)^2*(x^6 -24*x^5 + 5004*x^4 -111046*x^3 + 15637500*x^2 -234375000*x + 30517578125)^2*(x -25)^30*(x + 25)^30;
48
49T[111,2]=(x^5 + 3*x^4 -100*x^3 -80*x^2 + 1776*x -144)*(x^6 + 9*x^5 -82*x^4 -680*x^3 + 1136*x^2 + 10928*x + 4960)*(x^10 -9*x^9 -232*x^8 + 2112*x^7 + 16327*x^6 -156165*x^5 -287726*x^4 + 3595536*x^3 -3028480*x^2 -6156048*x + 5402720)*(x^9 -3*x^8 -206*x^7 + 480*x^6 + 13081*x^5 -28905*x^4 -245032*x^3 + 742464*x^2 -169920*x -582480)*(x + 6)^2*(x^7 + 8*x^6 -133*x^5 -906*x^4 + 4326*x^3 + 19928*x^2 -40920*x -109600)^2*(x^8 -12*x^7 -133*x^6 + 1754*x^5 + 4422*x^4 -71652*x^3 -24744*x^2 + 654576*x + 724608)^2;
50T[111,3]=(x^14 + 47*x^13 + 1809*x^12 + 50174*x^11 + 1176889*x^10 + 23630109*x^9 + 425440356*x^8 + 6907756977*x^7 + 103382006508*x^6 + 1395334306341*x^5 + 16887070810323*x^4 + 174945920535774*x^3 + 1532745094482387*x^2 + 9676883208448503*x + 50031545098999707)*(x^16 -25*x^15 + 936*x^14 -16781*x^13 + 454052*x^12 -7525713*x^11 + 166185891*x^10 -2372246784*x^9 + 45006809220*x^8 -576455968512*x^7 + 9813110677659*x^6 -107985755945691*x^5 + 1583181430842852*x^4 -14218350155062983*x^3 + 192714099640591464*x^2 -1250788627474992675*x + 12157665459056928801)*(x + 9)^15*(x -9)^17;
51T[111,5]=(x^5 + 64*x^4 -5092*x^3 -321788*x^2 + 6293616*x + 394285824)*(x^6 + 58*x^5 -5256*x^4 -111976*x^3 + 11141844*x^2 -191914032*x + 864148736)*(x^10 -36*x^9 -21180*x^8 + 684864*x^7 + 150963416*x^6 -3880510944*x^5 -419397129376*x^4 + 5644120250880*x^3 + 437356475119184*x^2 + 307339479721536*x -37217458024645120)*(x^9 -42*x^8 -16368*x^7 + 391536*x^6 + 87416672*x^5 -911418912*x^4 -138293122384*x^3 + 1815353269344*x^2 + 46506464210304*x -595150886808576)*(x -6)^2*(x^7 + 64*x^6 -15005*x^5 -863300*x^4 + 53962745*x^3 + 2655054546*x^2 -10937871316*x -330953386760)^2*(x^8 -136*x^7 -3745*x^6 + 1039532*x^5 -27505635*x^4 -1020239226*x^3 + 52148878296*x^2 -617700933120*x + 1362821073408)^2;
52
53T[112,2]=(x -4)*(x + 4)*(x^2 + 10*x + 32)*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)*(x )^66;
54T[112,3]=(x + 26)*(x -2)*(x + 8)*(x + 10)*(x -6)*(x -14)*(x + 30)*(x^2 -14*x -144)*(x^2 -6*x -504)*(x^2 -6*x -336)*(x^2 -26*x -8)*(x + 6)^2*(x -12)^2*(x -30)^2*(x + 20)^2*(x^2 + 26*x -8)^2*(x^2 + 14*x -144)^2*(x^2 + 6*x -336)^2*(x + 2)^3*(x -26)^3*(x -20)^4*(x -8)^4*(x -10)^4*(x + 14)^5*(x^2 + 6*x -504)^5*(x + 12)^6;
55T[112,5]=(x -32)^3*(x -4)^3*(x^2 + 62*x -3464)^3*(x^2 -42*x -4384)^3*(x^2 -82*x -1424)^3*(x -16)^4*(x + 96)^4*(x -10)^5*(x -84)^5*(x + 74)^6*(x + 56)^6*(x^2 + 18*x -1344)^6*(x -54)^8;
56
57T[113,2]=(x^21 + 8*x^20 -432*x^19 -3257*x^18 + 79062*x^17 + 562573*x^16 -7976638*x^15 -53987839*x^14 + 483588949*x^13 + 3164872515*x^12 -17980391806*x^11 -117188587856*x^10 + 398255743328*x^9 + 2728562529584*x^8 -4692552480800*x^7 -38239854714112*x^6 + 17479157381248*x^5 + 288400427420416*x^4 + 145769271574528*x^3 -845097010839552*x^2 -1102622948833280*x -371267551088640)*(x^25 -8*x^24 -592*x^23 + 4679*x^22 + 151398*x^21 -1185463*x^20 -21879102*x^19 + 170501745*x^18 + 1959958933*x^17 -15321348449*x^16 -112080948558*x^15 + 891596487880*x^14 + 4040259479648*x^13 -33666867824608*x^12 -85895064062976*x^11 + 802881423545472*x^10 + 867543001782656*x^9 -11347127538209280*x^8 + 452233094484480*x^7 + 83562040731236352*x^6 -74444145614794752*x^5 -238632084585308160*x^4 + 354642498160279552*x^3 + 141317868867452928*x^2 -437480124809576448*x + 178257224484716544);
58T[113,3]=(x^25 -63*x^24 -2147*x^23 + 202412*x^22 + 842752*x^21 -272546101*x^20 + 1602330843*x^19 + 201366774803*x^18 -2241532646658*x^17 -89265392638121*x^16 + 1312969794180972*x^15 + 24206245380792034*x^14 -433027478763896356*x^13 -3861162053090275688*x^12 + 84656923995918908096*x^11 + 310300471703674776288*x^10 -9519201654159805398400*x^9 -4514885788002907667664*x^8 + 548213832160842157189056*x^7 -786657570338782588050144*x^6 -11999208489761947922031168*x^5 + 23914456478856090436939776*x^4 + 71085363925588262513415936*x^3 -103611160661038024753161216*x^2 + 3511758552179215255787520*x + 2084345267274766940313600)*(x^21 + 45*x^20 -2147*x^19 -114028*x^18 + 1649600*x^17 + 115930941*x^16 -502332917*x^15 -61512954727*x^14 + 17667804678*x^13 + 18786757512963*x^12 + 19712407561952*x^11 -3469399207587916*x^10 -3154830068278432*x^9 + 388123774169725152*x^8 -44068160878735968*x^7 -24607459647500972976*x^6 + 40075871725691816832*x^5 + 704039438963336524992*x^4 -2360312965010394522432*x^3 -1962260792099114480640*x^2 + 12189120677863672063104*x -6586177166471465916480);
59T[113,5]=(x^21 + 39*x^20 -35180*x^19 -907332*x^18 + 512524478*x^17 + 6478322194*x^16 -3957658965240*x^15 -1168095626680*x^14 + 17204829041775453*x^13 -185469596013730437*x^12 -41161196858893073588*x^11 + 853317454009832833172*x^10 + 48110458143194555657580*x^9 -1497648074305681657580668*x^8 -18458111925757649555878368*x^7 + 1007069077339336743058194336*x^6 -2468233637620011115885485200*x^5 -261581161376169328394499403120*x^4 + 2585414255146706125555955367872*x^3 + 16442986979898746269233303537472*x^2 -337589044641049166350947735887808*x + 1283423131801716611847506930361024)*(x^25 -111*x^24 -44780*x^23 + 4821768*x^22 + 882788638*x^21 -90232413506*x^20 -10126712305980*x^19 + 952728307443020*x^18 + 75165850436175065*x^17 -6241514241656778935*x^16 -378464699650888428192*x^15 + 26267880859709212888452*x^14 + 1310299518584292834238800*x^13 -71059604754743692900020656*x^12 -3073670752989825457467115136*x^11 + 120104758856913050376220963392*x^10 + 4668329981850836960094045082880*x^9 -119306863131134406353166355237120*x^8 -4214867563382337259752214561443840*x^7 + 63122417369032049790255656802216960*x^6 + 1962063348495037949162045736804233216*x^5 -15998255029284235313820903625621180416*x^4 -393648257644765586405842070359086366720*x^3 + 1347998374671159623581505891158945087488*x^2 + 25239199307479560334320324667041213186048*x + 57550513735520107081900655147354772209664);
60
61T[114,2]=(x^2 -11*x + 32)*(x^4 + 3*x^3 + 28*x^2 + 96*x + 1024)*(x^6 -9*x^5 + 78*x^4 -504*x^3 + 2496*x^2 -9216*x + 32768)*(x^6 + 4*x^5 + 14*x^4 + 228*x^3 + 448*x^2 + 4096*x + 32768)*(x^8 -x^7 + 38*x^6 + 22*x^5 + 1796*x^4 + 704*x^3 + 38912*x^2 -32768*x + 1048576)*(x^4 + 7*x^3 + 32*x^2 + 224*x + 1024)^2*(x^8 -9*x^7 + 56*x^6 -90*x^5 + 396*x^4 -2880*x^3 + 57344*x^2 -294912*x + 1048576)^2*(x^2 + 2*x + 32)^3*(x^2 + 6*x + 32)^4*(x + 4)^15*(x -4)^17;
62T[114,3]=(x^2 + 14*x + 243)*(x^4 -3*x^3 + 128*x^2 -729*x + 59049)*(x^6 -13*x^5 + 331*x^4 -822*x^3 + 80433*x^2 -767637*x + 14348907)*(x^2 + 6*x + 243)*(x^2 + x + 243)^2*(x^4 + 7*x^3 + 100*x^2 + 1701*x + 59049)^2*(x^2 -4*x + 243)^2*(x^8 -6*x^7 + 81*x^6 -378*x^5 -55080*x^4 -91854*x^3 + 4782969*x^2 -86093442*x + 3486784401)^2*(x + 9)^24*(x -9)^26;
63T[114,5]=(x -21)*(x + 91)*(x + 54)*(x -81)*(x^2 + 13*x -1214)*(x^2 + 5*x -5486)*(x^2 + 49*x -422)*(x^3 -135*x^2 + 1854*x + 184680)*(x^3 -63*x^2 -6534*x + 184680)*(x + 66)^2*(x + 98)^2*(x + 45)^2*(x -31)^2*(x^2 + 87*x + 936)^2*(x^2 + 45*x -2736)^2*(x^3 -81*x^2 + 534*x + 46696)^2*(x^3 + 9*x^2 -3366*x + 64656)^2*(x^4 + 8*x^3 -7859*x^2 -74478*x + 5726088)^2*(x^3 -206*x^2 + 12809*x -214204)^2*(x + 24)^4*(x -54)^4*(x^2 + 133*x + 3316)^4*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248)^4*(x -6)^6;
64
65T[115,2]=(x^7 + 12*x^6 -99*x^5 -1290*x^4 + 1512*x^3 + 28360*x^2 + 24112*x + 4672)*(x^7 -4*x^6 -193*x^5 + 526*x^4 + 10874*x^3 -12768*x^2 -150624*x -91152)*(x^12 -8*x^11 -307*x^10 + 2231*x^9 + 35620*x^8 -227565*x^7 -1917514*x^6 + 10198454*x^5 + 46692536*x^4 -185549448*x^3 -394046000*x^2 + 958286464*x -429434688)*(x^10 + 12*x^9 -157*x^8 -2109*x^7 + 6318*x^6 + 122325*x^5 + 37882*x^4 -2584440*x^3 -4655848*x^2 + 13584624*x + 30868416)*(x^3 + 4*x^2 -48*x -8)^2*(x^6 -4*x^5 -144*x^4 + 381*x^3 + 5928*x^2 -7784*x -77528)^2*(x -2)^4;
66T[115,3]=(x^2 -3*x -453)*(x^7 -4*x^6 -872*x^5 + 6698*x^4 + 183448*x^3 -1960900*x^2 -1623855*x + 41060700)*(x^7 + 3*x^6 -1066*x^5 + 1371*x^4 + 264735*x^3 + 169020*x^2 -19984320*x -71539200)*(x^12 -22*x^11 -2015*x^10 + 40454*x^9 + 1488452*x^8 -24805366*x^7 -535047559*x^6 + 6181528734*x^5 + 101744161929*x^4 -601347054672*x^3 -9042435816480*x^2 + 15453357707520*x + 253857988051200)*(x^10 + 18*x^9 -1447*x^8 -25674*x^7 + 614052*x^6 + 10170078*x^5 -94740751*x^4 -1477494282*x^3 + 3792591385*x^2 + 68203113420*x + 124372360800)*(x + 4)^2*(x^3 + 20*x^2 -225*x -360)^2*(x^6 -16*x^5 -982*x^4 + 9620*x^3 + 256213*x^2 -966996*x -2937024)^2;
67T[115,5]=(x^6 + 58*x^5 + 10043*x^4 + 358996*x^3 + 31384375*x^2 + 566406250*x + 30517578125)*(x^12 -42*x^11 + 5274*x^10 -461986*x^9 + 25436919*x^8 -1649099772*x^7 + 106444993356*x^6 -5153436787500*x^5 + 248407412109375*x^4 -14098693847656250*x^3 + 502967834472656250*x^2 -12516975402832031250*x + 931322574615478515625)*(x + 25)^19*(x -25)^21;
68
69T[116,2]=(x^14 -4*x^13 + 43*x^12 -422*x^11 + 3160*x^10 -14736*x^9 + 125680*x^8 -692192*x^7 + 4021760*x^6 -15089664*x^5 + 103546880*x^4 -442499072*x^3 + 1442840576*x^2 -4294967296*x + 34359738368)*(x^8 + 59*x^6 + 168*x^5 + 1924*x^4 + 5376*x^3 + 60416*x^2 + 1048576)*(x -4)^6*(x + 4)^7*(x )^37;
70T[116,3]=(x + 23)*(x^2 -34*x + 255)*(x^2 + 22*x -81)*(x^6 -35*x^5 -220*x^4 + 14162*x^3 -24807*x^2 -866031*x -1934910)*(x + 12)^2*(x^2 + 14*x + 27)^2*(x^3 -14*x^2 -297*x + 1584)^2*(x^4 -13*x^3 -791*x^2 + 11961*x -9270)^2*(x^4 + 13*x^3 -791*x^2 -5565*x + 85398)^2*(x^4 + 28*x^3 + 46*x^2 -2316*x + 1665)^3*(x^7 -26*x^6 -1015*x^5 + 26056*x^4 + 280279*x^3 -7496290*x^2 -22844001*x + 661023756)^3;
71T[116,5]=(x + 67)*(x^2 + 50*x -4271)*(x^6 -99*x^5 -10668*x^4 + 928406*x^3 + 23849541*x^2 -1393525107*x + 12294556326)*(x -54)^2*(x + 9)^2*(x^2 + 82*x -519)^2*(x^3 -68*x^2 -3267*x + 183834)^2*(x^4 + 7*x^3 -6975*x^2 -221967*x + 13014)^2*(x^4 -93*x^3 -1839*x^2 + 57053*x + 484878)^2*(x^4 + 68*x^3 -4850*x^2 -129708*x + 5894489)^3*(x^7 -32*x^6 -13189*x^5 + 456170*x^4 + 54141495*x^3 -1882536724*x^2 -71107482707*x + 2378174390186)^3;
72
73T[117,2]=(x + 2)*(x^2 -5*x + 2)*(x^2 -4*x -52)*(x^3 -55*x + 78)*(x^4 -93*x^2 + 1300)*(x^6 -115*x^4 + 2280*x^2 -5616)*(x^3 + 7*x^2 -84*x -444)*(x^4 + 6*x^3 -117*x^2 -780*x + 292)*(x -2)^2*(x -6)^2*(x^2 + 4*x -52)^2*(x^3 -55*x -78)^2*(x^4 -6*x^3 -117*x^2 + 780*x + 292)^2*(x^2 + 5*x + 2)^3*(x^3 -7*x^2 -84*x + 444)^3*(x + 6)^4;
74T[117,3]=(x^4 + 28*x^3 + 529*x^2 + 6804*x + 59049)*(x^6 -8*x^5 + 492*x^4 -1692*x^3 + 119556*x^2 -472392*x + 14348907)*(x + 9)^5*(x -9)^7*(x )^44;
75T[117,5]=(x -74)*(x^2 -42*x -6359)*(x^2 -48*x -824)*(x^3 + 54*x^2 -2548*x -17592)*(x^4 -3736*x^2 + 1502800)*(x^6 -16528*x^4 + 71555328*x^2 -78722482176)*(x^3 + 56*x^2 -4131*x -73386)*(x^4 + 24*x^3 -6688*x^2 -120000*x + 8260288)*(x + 6)^2*(x + 74)^2*(x^2 + 48*x -824)^2*(x^3 -54*x^2 -2548*x + 17592)^2*(x^4 -24*x^3 -6688*x^2 + 120000*x + 8260288)^2*(x^2 + 42*x -6359)^3*(x^3 -56*x^2 -4131*x + 73386)^3*(x -6)^4;
76
77T[118,2]=(x^18 + 9*x^17 + 153*x^16 + 1147*x^15 + 12662*x^14 + 80420*x^13 + 700136*x^12 + 3869216*x^11 + 28764672*x^10 + 141477376*x^9 + 920469504*x^8 + 3962077184*x^7 + 22942056448*x^6 + 84326481920*x^5 + 424866217984*x^4 + 1231581872128*x^3 + 5257039970304*x^2 + 9895604649984*x + 35184372088832)*(x^30 -3*x^29 + 93*x^28 -321*x^27 + 3856*x^26 -11558*x^25 + 110828*x^24 -118356*x^23 + 3027232*x^22 + 1307272*x^21 + 66845760*x^20 + 137131488*x^19 + 279734528*x^18 + 15665951616*x^17 -42270809088*x^16 + 756773621248*x^15 -1352665890816*x^14 + 16041934454784*x^13 + 9166341013504*x^12 + 143792787161088*x^11 + 2242971508408320*x^10 + 1403672621744128*x^9 + 104014899499237376*x^8 -130133798217056256*x^7 + 3899413589861072896*x^6 -13013151123287048192*x^5 + 138927041305125060608*x^4 -370087802978797879296*x^3 + 3431094397709976600576*x^2 -3541774862152233910272*x + 37778931862957161709568)*(x + 4)^12*(x -4)^13;
78T[118,3]=(x^6 + 23*x^5 -650*x^4 -10837*x^3 + 130072*x^2 + 644390*x -1991607)*(x^8 -23*x^7 -1236*x^6 + 29599*x^5 + 379582*x^4 -9993714*x^3 -20983995*x^2 + 980533890*x -3427236360)*(x^6 -4*x^5 -1028*x^4 + 1029*x^3 + 265491*x^2 + 412425*x -1848582)*(x^5 + 22*x^4 -408*x^3 -7243*x^2 + 18461*x + 19515)*(x^15 -18*x^14 -2471*x^13 + 42482*x^12 + 2275458*x^11 -35763664*x^10 -996283769*x^9 + 13235036606*x^8 + 220391568772*x^7 -2125856234262*x^6 -23589393987964*x^5 + 116074722233940*x^4 + 1007715695188617*x^3 -1311208637198940*x^2 -8854914886693236*x + 4556818921580496)^2*(x^9 -1175*x^7 -3063*x^6 + 387031*x^5 + 890778*x^4 -50085261*x^3 -54278127*x^2 + 2264237388*x -1466210484)^2;
79T[118,5]=(x^6 + 73*x^5 -8380*x^4 -344151*x^3 + 21673452*x^2 + 5480478*x -306992673)*(x^8 -15*x^7 -17748*x^6 + 385813*x^5 + 78538620*x^4 -2832932106*x^3 -32036336525*x^2 + 1958860354908*x -14540866242948)*(x^6 -52*x^5 -11906*x^4 + 499339*x^3 + 25709549*x^2 -299114237*x -11755810194)*(x^5 + 110*x^4 -2774*x^3 -468097*x^2 -11810437*x -74945223)*(x^15 -128*x^14 -20539*x^13 + 3008988*x^12 + 143947746*x^11 -27354132944*x^10 -314326529453*x^9 + 121602275708464*x^8 -693687289670304*x^7 -274826953523579302*x^6 + 4205232564727836124*x^5 + 289202351577911692920*x^4 -6052840037361218293827*x^3 -100464722528026022436902*x^2 + 2308571029896058135866252*x + 2456894887367459602874904)^2*(x^9 + 72*x^8 -8665*x^7 -738947*x^6 + 13182679*x^5 + 2011506494*x^4 + 21012414333*x^3 -1094816757135*x^2 -12705684024348*x + 186475584425516)^2;
80
81T[119,2]=(x^8 -6*x^7 -137*x^6 + 710*x^5 + 5400*x^4 -17904*x^3 -91840*x^2 + 89056*x + 424640)*(x^12 + 5*x^11 -318*x^10 -1592*x^9 + 36844*x^8 + 177653*x^7 -1903527*x^6 -8313346*x^5 + 42990856*x^4 + 151558512*x^3 -333293792*x^2 -749045216*x -212778816)*(x^13 -14*x^12 -217*x^11 + 3470*x^10 + 13356*x^9 -297719*x^8 -25422*x^7 + 10549375*x^6 -19704118*x^5 -132547752*x^4 + 436333232*x^3 + 3354816*x^2 -815589152*x + 55902528)*(x^7 + 13*x^6 -86*x^5 -1512*x^4 -1552*x^3 + 30304*x^2 + 79136*x + 7488)*(x + 10)^2*(x -1)^2*(x + 6)^2*(x^2 -9*x + 6)^2*(x^4 -3*x^3 -94*x^2 + 284*x + 968)^2;
82T[119,3]=(x^8 -8*x^7 -1147*x^6 + 7166*x^5 + 315303*x^4 -2194758*x^3 -21107628*x^2 + 116800056*x + 395642880)*(x^12 -26*x^11 -1514*x^10 + 38604*x^9 + 704791*x^8 -16514498*x^7 -141764670*x^6 + 2453557512*x^5 + 13895181093*x^4 -94274729438*x^3 -595617330180*x^2 -279000487944*x + 1443742463808)*(x^13 + 10*x^12 -2522*x^11 -24212*x^10 + 2443511*x^9 + 22810290*x^8 -1135804030*x^7 -10467765680*x^6 + 256898190069*x^5 + 2388654427470*x^4 -25020267958404*x^3 -244360884881952*x^2 + 661939641516672*x + 7108646603966208)*(x^7 + 28*x^6 -423*x^5 -12538*x^4 + 13295*x^3 + 478734*x^2 -1202076*x + 447552)*(x + 18)^2*(x + 14)^2*(x -10)^2*(x^2 + 6*x -504)^2*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056)^2;
83T[119,5]=(x^8 -32*x^7 -9647*x^6 + 249746*x^5 + 32522735*x^4 -609785546*x^3 -42823359008*x^2 + 450623476832*x + 14867311020544)*(x^12 -194*x^11 -6766*x^10 + 3201252*x^9 -81142849*x^8 -16324532114*x^7 + 770140698430*x^6 + 24236292553480*x^5 -1602257126916891*x^4 -608118152068206*x^3 + 717366389780090912*x^2 -7056241122958663968*x + 4662362104675884288)*(x^13 + 36*x^12 -25858*x^11 -1052200*x^10 + 236880215*x^9 + 10769299808*x^8 -908997124694*x^7 -46519596578116*x^6 + 1325189417174517*x^5 + 81683238740328520*x^4 -447536859101523228*x^3 -52348511151680404840*x^2 -250769564686854439328*x + 5035654143819497957792)*(x^7 + 74*x^6 -7943*x^5 -365032*x^4 + 23925183*x^3 + 182232292*x^2 -14728787616*x + 116178867416)*(x + 72)^2*(x + 16)^2*(x + 56)^2*(x^2 + 18*x -1344)^2*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^2;
84
85T[120,2]=(x^2 + 2*x + 32)*(x^2 -7*x + 32)*(x^4 + x^3 -38*x^2 + 32*x + 1024)*(x^2 + 6*x + 32)^2*(x^2 -2*x + 32)^2*(x -4)^5*(x + 4)^5*(x )^86;
86T[120,3]=(x^2 + 8*x + 243)*(x^2 + 2*x + 243)*(x^2 + 18*x + 243)*(x^4 + 12*x^3 + 6*x^2 + 2916*x + 59049)*(x^2 -22*x + 243)^2*(x^2 -20*x + 243)^2*(x^2 -6*x + 243)^3*(x^2 + 26*x + 243)^3*(x^2 -24*x + 243)^3*(x^2 + 4*x + 243)^4*(x^2 + 12*x + 243)^4*(x + 9)^30*(x -9)^30;
87T[120,5]=(x^2 -38*x + 3125)*(x^2 -94*x + 3125)*(x^2 + 34*x + 3125)*(x^2 + 74*x + 3125)^2*(x^2 + 66*x + 3125)^3*(x^2 -6*x + 3125)^4*(x^2 -54*x + 3125)^4*(x -25)^40*(x + 25)^40;
88
89T[121,2]=(x -4)*(x^5 + 4*x^4 -123*x^3 -394*x^2 + 2636*x + 2376)*(x^5 -4*x^4 -123*x^3 + 394*x^2 + 2636*x -2376)*(x^8 + 8*x^7 -139*x^6 -1014*x^5 + 5128*x^4 + 36176*x^3 -18176*x^2 -253088*x -224576)*(x^8 -8*x^7 -139*x^6 + 1014*x^5 + 5128*x^4 -36176*x^3 -18176*x^2 + 253088*x -224576)*(x^3 -90*x -188)*(x^2 -38)*(x^8 -202*x^6 + 12577*x^4 -277608*x^2 + 1411344)*(x )*(x + 4)^2*(x^3 -90*x + 188)^2;
90T[121,3]=(x + 31)*(x -7)^2*(x^4 + 8*x^3 -496*x^2 -3776*x + 13812)^2*(x^8 + 12*x^7 -1070*x^6 -12312*x^5 + 294703*x^4 + 2558328*x^3 -25567506*x^2 -112544100*x -78307155)^2*(x^5 -10*x^4 -992*x^3 + 7440*x^2 + 183024*x + 76896)^2*(x + 15)^3*(x^3 -34*x^2 + 217*x + 1212)^3;
91T[121,5]=(x -57)*(x^4 + 128*x^3 -1430*x^2 -409728*x + 2009529)^2*(x^8 -70*x^7 -8689*x^6 + 619710*x^5 + 13507261*x^4 -777174460*x^3 -15694724084*x^2 -14660217680*x + 399082341136)^2*(x^5 -29*x^4 -12462*x^3 + 232958*x^2 + 34414781*x -168762609)^2*(x^3 -24*x^2 -4371*x + 38954)^3*(x + 19)^5;
92
93T[122,2]=(x^28 -11*x^27 + 154*x^26 -1314*x^25 + 10827*x^24 -71159*x^23 + 447406*x^22 -2343768*x^21 + 12233712*x^20 -46004992*x^19 + 165568000*x^18 + 187914880*x^17 -4945386496*x^16 + 55072092928*x^15 -327525312000*x^14 + 1762306973696*x^13 -5064075771904*x^12 + 6157594787840*x^11 + 173610631168000*x^10 -1543671375724544*x^9 + 13135848237170688*x^8 -80531255275290624*x^7 + 491928099336749056*x^6 -2503684733469196288*x^5 + 12190118291385090048*x^4 -47341839282918653952*x^3 + 177549911709454434304*x^2 -405828369621610135552*x + 1180591620717411303424)*(x^22 + 9*x^21 + 158*x^20 + 1222*x^19 + 14101*x^18 + 97245*x^17 + 883660*x^16 + 5526548*x^15 + 43255056*x^14 + 245406256*x^13 + 1699812800*x^12 + 8729578688*x^11 + 54394009600*x^10 + 251296006144*x^9 + 1417381675008*x^8 + 5795005595648*x^7 + 29650709381120*x^6 + 104416023674880*x^5 + 484506670727168*x^4 + 1343603209142272*x^3 + 5559130790035456*x^2 + 10133099161583616*x + 36028797018963968)*(x -4)^12*(x + 4)^13;
94T[122,3]=(x + 8)*(x^4 + 14*x^3 -148*x^2 -1100*x + 7200)*(x^6 + 4*x^5 -1028*x^4 -1116*x^3 + 225504*x^2 -927072*x -2623104)*(x^8 -13*x^7 -1255*x^6 + 13608*x^5 + 489344*x^4 -3481836*x^3 -58273776*x^2 -15417216*x + 698512896)*(x^6 -31*x^5 -645*x^4 + 23518*x^3 + 50456*x^2 -4381692*x + 18400368)*(x^14 -26*x^13 -2227*x^12 + 57674*x^11 + 1766017*x^10 -45337810*x^9 -609375296*x^8 + 15372911868*x^7 + 92788515792*x^6 -2243660214096*x^5 -6353022047760*x^4 + 133312805011872*x^3 + 117638681990976*x^2 -2731707682542144*x + 2081224253640960)^2*(x^11 + 46*x^10 -535*x^9 -45666*x^8 -101027*x^7 + 15666818*x^6 + 105262284*x^5 -2084806712*x^4 -18493012432*x^3 + 78114279776*x^2 + 722128835136*x -749020807296)^2;
95T[122,5]=(x + 99)*(x^4 + 40*x^3 -3806*x^2 -124260*x -883575)*(x^6 -23*x^5 -9072*x^4 + 84418*x^3 + 16814621*x^2 -234595779*x -3260368934)*(x^8 -135*x^7 -7724*x^6 + 1489850*x^5 + 2667861*x^4 -5314282595*x^3 + 87699385646*x^2 + 6178598179880*x -159333566338784)*(x^6 -97*x^5 -6251*x^4 + 585809*x^3 + 10048734*x^2 -821022912*x + 2456217216)*(x^14 -71*x^13 -25282*x^12 + 1932308*x^11 + 209490978*x^10 -17949264250*x^9 -619500154620*x^8 + 67075680761540*x^7 + 366949795588005*x^6 -98074329634566135*x^5 + 579615830127478134*x^4 + 45573180827235973536*x^3 -304688198185524075008*x^2 -4331042311216160636928*x + 8054010281910420897792)^2*(x^11 + 129*x^10 -11939*x^9 -2103563*x^8 -872325*x^7 + 9043077683*x^6 + 226414473599*x^5 -10213326005561*x^4 -299196473749272*x^3 + 4977238042422480*x^2 + 99231806780631936*x -1147403458957863168)^2;
96
97T[123,2]=(x^7 + 6*x^6 -137*x^5 -560*x^4 + 5302*x^3 + 15004*x^2 -47936*x -99552)*(x^9 -14*x^8 -129*x^7 + 2308*x^6 + 1394*x^5 -103480*x^4 + 215644*x^3 + 713088*x^2 -1282448*x + 375040)*(x^10 -267*x^8 -40*x^7 + 24286*x^6 -304*x^5 -874308*x^4 + 557640*x^3 + 11332240*x^2 -16151712*x -13956480)*(x^8 + 4*x^7 -187*x^6 -660*x^5 + 10314*x^4 + 33800*x^3 -172472*x^2 -558272*x -165312)*(x + 6)^2*(x^6 + 5*x^5 -91*x^4 -345*x^3 + 1618*x^2 + 2548*x -1176)^2*(x^10 -3*x^9 -259*x^8 + 639*x^7 + 22422*x^6 -38356*x^5 -735592*x^4 + 422608*x^3 + 8253728*x^2 -28352*x -24923264)^2;
98T[123,3]=(x^20 -28*x^19 + 1010*x^18 -19322*x^17 + 498957*x^16 -8976526*x^15 + 196252884*x^14 -3219941246*x^13 + 60767950938*x^12 -918202959702*x^11 + 15811880250420*x^10 -223123319207586*x^9 + 3588286734937962*x^8 -46202637484318122*x^7 + 684291494582462484*x^6 -7605708232168935018*x^5 + 102730821596549781093*x^4 -966709514402872338654*x^3 + 12279242113647498089010*x^2 -82720755783423343562004*x + 717897987691852588770249)*(x^12 + 8*x^11 + 650*x^10 + 2176*x^9 + 187083*x^8 -242712*x^7 + 43445268*x^6 -58979016*x^5 + 11047064067*x^4 + 31223221632*x^3 + 2266409860650*x^2 + 6778308875544*x + 205891132094649)*(x + 9)^18*(x -9)^18;
99T[123,5]=(x^7 + 200*x^6 + 8233*x^5 -619984*x^4 -50982206*x^3 -577927188*x^2 + 23712183584*x + 403184891584)*(x^9 -150*x^8 -4941*x^7 + 1307882*x^6 -4727348*x^5 -3423720856*x^4 + 54558414940*x^3 + 2700747312616*x^2 -63831317615152*x + 144570686583008)*(x^10 -78*x^9 -18633*x^8 + 1269442*x^7 + 112212472*x^6 -5414462840*x^5 -290636443172*x^4 + 4592739214808*x^3 + 334665909369008*x^2 + 4469400250474528*x + 16229103857134464)*(x^8 + 72*x^7 -8507*x^6 -446868*x^5 + 19860390*x^4 + 754965136*x^3 -8919879648*x^2 -445502686592*x -3366978515488)*(x -6)^2*(x^6 + 68*x^5 -9756*x^4 -590816*x^3 + 15918464*x^2 + 1231912448*x + 14084905216)^2*(x^10 -32*x^9 -20980*x^8 + 897308*x^7 + 140363880*x^6 -7395615632*x^5 -308651244720*x^4 + 21276938179968*x^3 + 29758160755840*x^2 -16157882035474112*x + 198367307814239104)^2;
100
101T[124,2]=(x^16 -7*x^15 + 78*x^14 -665*x^13 + 5459*x^12 -36598*x^11 + 263504*x^10 -1599112*x^9 + 9119216*x^8 -51171584*x^7 + 269828096*x^6 -1199243264*x^5 + 5724176384*x^4 -22313697280*x^3 + 83751862272*x^2 -240518168576*x + 1099511627776)*(x^10 + 9*x^9 + 94*x^8 + 736*x^7 + 4968*x^6 + 30032*x^5 + 158976*x^4 + 753664*x^3 + 3080192*x^2 + 9437184*x + 33554432)*(x -4)^6*(x + 4)^6*(x )^39;
102T[124,3]=(x^6 -2*x^5 -1290*x^4 + 5048*x^3 + 325568*x^2 -3093648*x + 5413248)*(x^6 -20*x^5 -682*x^4 + 10628*x^3 + 145176*x^2 -1091040*x -10713600)*(x + 12)^2*(x^2 + 8*x -12)^2*(x^2 + 8*x -360)^2*(x^4 -28*x^3 -548*x^2 + 18288*x -68448)^2*(x^4 -10*x^3 -418*x^2 + 1216*x + 26328)^2*(x^8 + 2*x^7 -1726*x^6 -2256*x^5 + 959544*x^4 + 632448*x^3 -180929376*x^2 -36796032*x + 4699378944)^3*(x^5 + 20*x^4 -146*x^3 -2812*x^2 -1448*x + 32384)^3;
103T[124,5]=(x^6 + 75*x^5 -6847*x^4 -403587*x^3 + 10055178*x^2 + 455375412*x -812540232)*(x^6 -25*x^5 -12303*x^4 + 259785*x^3 + 37655138*x^2 -738802460*x -20212306536)*(x -54)^2*(x^2 -2*x -1503)^2*(x^2 + 110*x + 2913)^2*(x^4 + 10*x^3 -6907*x^2 + 112540*x + 3962356)^2*(x^4 -2*x^3 -11235*x^2 + 99072*x -217836)^2*(x^8 -128*x^7 -5962*x^6 + 1063324*x^5 + 2175545*x^4 -1905236564*x^3 -12826806008*x^2 + 596790808368*x + 6147184721424)^3*(x^5 + 72*x^4 -5143*x^3 -293838*x^2 + 5275812*x -9306904)^3;
104
105T[125,2]=(x^10 -9*x^9 -192*x^8 + 1599*x^7 + 12437*x^6 -95664*x^5 -282272*x^4 + 2214064*x^3 + 699072*x^2 -14851264*x + 14895424)*(x^10 + 9*x^9 -192*x^8 -1599*x^7 + 12437*x^6 + 95664*x^5 -282272*x^4 -2214064*x^3 + 699072*x^2 + 14851264*x + 14895424)*(x^12 -344*x^10 + 43675*x^8 -2461040*x^6 + 56367200*x^4 -299906304*x^2 + 459271936)*(x^8 -146*x^6 + 5721*x^4 -51416*x^2 + 1616)*(x + 2)^2*(x^2 + 5*x -54)^2*(x^2 -5*x -54)^2*(x^2 -44)^2*(x -2)^3;
106T[125,3]=(x^10 -47*x^9 -338*x^8 + 38333*x^7 -164438*x^6 -9098747*x^5 + 48548137*x^4 + 874180908*x^3 -3311236188*x^2 -24226849872*x + 92663327376)*(x^10 + 47*x^9 -338*x^8 -38333*x^7 -164438*x^6 + 9098747*x^5 + 48548137*x^4 -874180908*x^3 -3311236188*x^2 + 24226849872*x + 92663327376)*(x^12 -2421*x^10 + 2215280*x^8 -940873805*x^6 + 180134440880*x^4 -11868149022741*x^2 + 135229754530431)*(x^8 -1214*x^6 + 382471*x^4 -35921754*x^2 + 119778021)*(x -4)^2*(x^2 -396)^2*(x^2 + 20*x -141)^2*(x^2 -20*x -141)^2*(x + 4)^3;
107T[125,5]=(x -25)*(x )^56;
108
109T[126,2]=(x^2 + x + 32)*(x^4 + 9*x^3 + 70*x^2 + 288*x + 1024)*(x^2 + 5*x + 32)*(x^4 + 36*x^2 + 1024)*(x^8 + 17*x^6 -204*x^4 + 17408*x^2 + 1048576)*(x^2 -x + 32)^2*(x^2 -5*x + 32)^2*(x^2 -6*x + 32)^3*(x^2 -10*x + 32)^3*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)^3*(x^2 + 10*x + 32)^4*(x^2 + 6*x + 32)^6*(x + 4)^20*(x -4)^20;
110T[126,3]=(x^2 -8*x + 243)*(x^2 -10*x + 243)*(x^2 + 14*x + 243)^2*(x^4 + 6*x^3 -18*x^2 + 1458*x + 59049)^2*(x + 9)^9*(x -9)^11*(x )^76;
111T[126,5]=(x + 10)*(x -72)*(x + 24)*(x + 44)*(x + 76)*(x + 84)*(x -34)^2*(x -106)^2*(x -56)^2*(x -54)^2*(x -44)^2*(x -96)^2*(x + 94)^2*(x + 78)^2*(x + 72)^2*(x -76)^2*(x + 96)^2*(x -66)^2*(x + 26)^2*(x -24)^2*(x^2 -18*x -1344)^2*(x^2 -1372)^2*(x^4 -7752*x^2 + 148176)^2*(x -26)^3*(x -10)^3*(x -84)^3*(x + 54)^3*(x + 6)^4*(x -78)^4*(x + 106)^4*(x + 34)^4*(x -94)^4*(x + 66)^4*(x + 56)^6*(x^2 + 18*x -1344)^6*(x -6)^8;
112
113T[127,2]=(x^29 -16*x^28 -597*x^27 + 10279*x^26 + 152916*x^25 -2903511*x^24 -21819525*x^23 + 474953152*x^22 + 1867693638*x^21 -49882959528*x^20 -93379006398*x^19 + 3525971816937*x^18 + 2053095501033*x^17 -171066203880121*x^16 + 44357296811348*x^15 + 5706185080678344*x^14 -4662624875764384*x^13 -128994208758896336*x^12 + 153262053071575264*x^11 + 1908840434149357184*x^10 -2743229491861365120*x^9 -17277865215554886144*x^8 + 27823297001289457152*x^7 + 83696847052826531840*x^6 -145027276691268532224*x^5 -163177332839850479616*x^4 + 285852006768646324224*x^3 + 105865898618679754752*x^2 -182295662577142726656*x + 2196701521711792128)*(x^24 + 16*x^23 -437*x^22 -7801*x^21 + 76564*x^20 + 1618026*x^19 -6605257*x^18 -187115109*x^17 + 238726897*x^16 + 13265937540*x^15 + 4991013800*x^14 -596073689792*x^13 -877291932208*x^12 + 16903664850592*x^11 + 38609470067840*x^10 -290029267393664*x^9 -869216114941440*x^8 + 2697532169869824*x^7 + 10498704118880256*x^6 -9467476947855360*x^5 -61912696631685120*x^4 -21840652836864000*x^3 + 125565147648000000*x^2 + 146699555880960000*x + 42068981145600000);
114T[127,3]=(x^29 -35*x^28 -4585*x^27 + 163158*x^26 + 9230922*x^25 -333781285*x^24 -10791728545*x^23 + 395302137787*x^22 + 8174647504016*x^21 -301172440965713*x^20 -4244330174622596*x^19 + 155170942898400788*x^18 + 1559594213457875344*x^17 -55327012457966805106*x^16 -412876358608610846208*x^15 + 13737511950903540435960*x^14 + 79280091083634356928384*x^13 -2359155805279479041160528*x^12 -10986159405900933104803776*x^11 + 274839109028843309817758208*x^10 + 1076325377764493847424352256*x^9 -20986878578169339051007193856*x^8 -71352872775387721135406214144*x^7 + 993000565295800710886331449344*x^6 + 2948234721320537452740714872832*x^5 -26551729083446614794438629535744*x^4 -64840248073501841550377789079552*x^3 + 344246969937982796441451448123392*x^2 + 514740886834158201320543003738112*x -1751827338446487912857403006124032)*(x^24 + 55*x^23 -2065*x^22 -156342*x^21 + 1080532*x^20 + 181773113*x^19 + 549588053*x^18 -112934245335*x^17 -868699888320*x^16 + 41535295828265*x^15 + 420677072556626*x^14 -9575800981979588*x^13 -107782407557321052*x^12 + 1430804019525045386*x^11 + 16188688918270410100*x^10 -140316426370595920112*x^9 -1449208823275080969024*x^8 + 8895126261360948662208*x^7 + 74912049583160659388352*x^6 -342772958363493097290240*x^5 -2052310219729654458249216*x^4 + 6876756852538207053123072*x^3 + 25143217814188036463431680*x^2 -46136722831565049681149952*x -111250953223152550922944512);
115T[127,5]=(x^29 -224*x^28 -33569*x^27 + 10644813*x^26 + 277160796*x^25 -215014106202*x^24 + 3652130683299*x^23 + 2397991772569460*x^22 -98240492550740160*x^21 -15999561290606809933*x^20 + 950071286004042315890*x^19 + 64120785775635488592953*x^18 -5100193140784383527396979*x^17 -142480192355385306601222077*x^16 + 16384701959477780526331732872*x^15 + 118146951369120684605786235952*x^14 -31426163486673216641871417279918*x^13 + 141959786947223059850751034848762*x^12 + 34568759211580285191190117771252056*x^11 -372320290409313989155994020722793008*x^10 -20636204669169563637809906010631818896*x^9 + 267421101008131338047926201354927173776*x^8 + 6292940117014039484121528727524218927168*x^7 -67798078011242227977624651996871529541056*x^6 -996954593881983337113425692828783354542848*x^5 + 4951028605741078717475633132458907897978880*x^4 + 55131758924036632317872791359699602754468864*x^3 -87823063646873032544006762000588861046638592*x^2 -795766139828890486158803307579621955144728576*x -775193703790187149911747644481362081046933504)*(x^24 + 276*x^23 -1819*x^22 -6686881*x^21 -366242608*x^20 + 65150851442*x^19 + 5714939982151*x^18 -317266273430568*x^17 -40762764677979638*x^16 + 718688702181180569*x^15 + 166433358928368920184*x^14 -29029095928049498517*x^13 -414472649966602230975641*x^12 -3684706852253398932905587*x^11 + 634675736826740270862860404*x^10 + 8492721571906883511982727996*x^9 -580427990915258516490454914658*x^8 -8678325497292977027892257123154*x^7 + 292891298317836772892783398609416*x^6 + 4371461753876955496338181190267944*x^5 -66643471929882589710425837406119872*x^4 -1047978972763293348974143950021122016*x^3 + 3612868929371260795880220677034183488*x^2 + 82554551378075968245080845221111498496*x + 195990488784458256536687119629107438592);
116
117T[128,2]=(x )^72;
118T[128,3]=(x + 6)^2*(x -6)^2*(x^2 -20*x -204)^2*(x^2 -4*x -380)^2*(x^2 + 20*x -204)^2*(x^2 + 4*x -380)^2*(x -8)^5*(x + 8)^5*(x^2 -768)^5*(x )^5*(x + 20)^6*(x -12)^6*(x -20)^7*(x + 12)^8;
119T[128,5]=(x + 94)^2*(x -94)^2*(x -82)^2*(x^2 + 44*x -732)^2*(x^2 + 100*x + 964)^2*(x^2 -44*x -732)^2*(x^2 -100*x + 964)^2*(x + 82)^3*(x + 46)^4*(x -74)^4*(x + 14)^4*(x + 54)^4*(x -14)^6*(x -46)^6*(x + 74)^9*(x -54)^10;
120
121T[129,2]=(x^6 -x^5 -101*x^4 + 181*x^3 + 2228*x^2 -4228*x -640)*(x^8 + 5*x^7 -161*x^6 -695*x^5 + 7524*x^4 + 26490*x^3 -92708*x^2 -259704*x + 167184)*(x^9 -3*x^8 -217*x^7 + 513*x^6 + 15230*x^5 -30408*x^4 -361888*x^3 + 675600*x^2 + 1052512*x -1574400)*(x^11 -9*x^10 -253*x^9 + 2301*x^8 + 20570*x^7 -191046*x^6 -565536*x^5 + 5644728*x^4 + 2911136*x^3 -49206048*x^2 + 35382272*x -6281856)*(x + 6)^2*(x^8 + 12*x^7 -117*x^6 -1502*x^5 + 3358*x^4 + 49104*x^3 -39464*x^2 -439936*x + 259776)^2*(x^10 -8*x^9 -229*x^8 + 1734*x^7 + 16722*x^6 -112716*x^5 -450596*x^4 + 2163208*x^3 + 5497616*x^2 -9477216*x -20373120)^2;
122T[129,3]=(x^16 + 26*x^15 + 1037*x^14 + 21984*x^13 + 515401*x^12 + 8844604*x^11 + 164541593*x^10 + 2412229350*x^9 + 42389674344*x^8 + 586171732050*x^7 + 9716016525057*x^6 + 126910400247828*x^5 + 1797092167059801*x^4 + 18626792789994912*x^3 + 213509103982151013*x^2 + 1300820172573992382*x + 12157665459056928801)*(x^20 -28*x^19 + 929*x^18 -15652*x^17 + 384094*x^16 -5703294*x^15 + 127217574*x^14 -1773759114*x^13 + 38322042597*x^12 -511917861924*x^11 + 10155906521514*x^10 -124396040447532*x^9 + 2262878293310253*x^8 -25451504567188398*x^7 + 443580252556263174*x^6 -4832336042504605242*x^5 + 79081548490762113006*x^4 -783093743889543413964*x^3 + 11294471211463886856129*x^2 -82720755783423343562004*x + 717897987691852588770249)*(x + 9)^17*(x -9)^19;
123T[129,5]=(x^6 + 56*x^5 -8494*x^4 -568032*x^3 + 1598305*x^2 + 316260776*x -2475922612)*(x^8 + 28*x^7 -13802*x^6 -8744*x^5 + 57627785*x^4 -960793796*x^3 -65381133968*x^2 + 1785699754512*x -8183147032016)*(x^9 -72*x^8 -14979*x^7 + 1082910*x^6 + 54599219*x^5 -3434547300*x^4 -74313093045*x^3 + 2272576971918*x^2 + 29061741014404*x -329830331180856)*(x^11 -44*x^10 -24467*x^9 + 1167214*x^8 + 212726775*x^7 -10879527264*x^6 -756981898013*x^5 + 42055134457318*x^4 + 818698696330264*x^3 -56331489082495280*x^2 + 312940800150219440*x + 4114843579342377056)*(x -6)^2*(x^8 + 212*x^7 + 7783*x^6 -1016128*x^5 -81381385*x^4 -883062964*x^3 + 54379881442*x^2 + 1078880170848*x + 5172924974752)^2*(x^10 -138*x^9 -9663*x^8 + 1650642*x^7 + 31581077*x^6 -6749838930*x^5 -53860843512*x^4 + 10885944440688*x^3 + 48141857867908*x^2 -5642904896045352*x -2586088965912096)^2;
124
125T[130,2]=(x^2 -5*x + 32)*(x^8 + 9*x^7 + 58*x^6 + 332*x^5 + 2536*x^4 + 10624*x^3 + 59392*x^2 + 294912*x + 1048576)*(x^6 + 2*x^5 + 55*x^4 + 38*x^3 + 1760*x^2 + 2048*x + 32768)*(x^12 + 29*x^10 -8*x^9 + 616*x^8 + 5856*x^7 + 26128*x^6 + 187392*x^5 + 630784*x^4 -262144*x^3 + 30408704*x^2 + 1073741824)*(x^12 -2*x^11 + 31*x^10 + 8*x^9 + 1336*x^8 + 320*x^7 + 40112*x^6 + 10240*x^5 + 1368064*x^4 + 262144*x^3 + 32505856*x^2 -67108864*x + 1073741824)*(x^2 -2*x + 32)^2*(x^4 + 5*x^3 + 66*x^2 + 160*x + 1024)^2*(x^6 -7*x^5 + 12*x^4 -4*x^3 + 384*x^2 -7168*x + 32768)^2*(x -4)^17*(x + 4)^19;
126T[130,3]=(x^2 -6*x -136)*(x^2 -6*x -162)*(x^2 + 26*x -66)*(x^2 + 16*x -62)*(x^3 + 8*x^2 -560*x -4584)*(x^4 -20*x^3 -612*x^2 + 11436*x + 23400)*(x^2 + 4*x -246)*(x^3 + 22*x^2 -200*x -996)*(x -24)^2*(x + 26)^2*(x^2 -9*x -192)^2*(x^2 -9*x -676)^2*(x^3 + 16*x^2 -308*x -4128)^2*(x^4 + 4*x^3 -800*x^2 -1152*x + 119376)^2*(x^6 -20*x^5 -1046*x^4 + 20080*x^3 + 150636*x^2 -1979280*x -5696136)^2*(x^6 -38*x^5 -266*x^4 + 17872*x^3 -38924*x^2 -1064984*x + 569784)^2*(x )^2*(x -6)^4*(x + 4)^4*(x^2 + 28*x + 43)^4*(x^3 -8*x^2 -237*x + 2196)^4;
127T[130,5]=(x^4 + 37*x^3 + 5896*x^2 + 115625*x + 9765625)*(x^4 -73*x^3 + 5672*x^2 -228125*x + 9765625)*(x^2 + 14*x + 3125)*(x^4 + 42*x^3 -109*x^2 + 131250*x + 9765625)^2*(x^6 -56*x^5 + 5244*x^4 -276614*x^3 + 16387500*x^2 -546875000*x + 30517578125)^2*(x + 25)^35*(x -25)^35;
128
129T[131,2]=(x^32 -3*x^31 -819*x^30 + 2319*x^29 + 301095*x^28 -801027*x^27 -65644953*x^26 + 163507789*x^25 + 9445637032*x^24 -21985465874*x^23 -944589936780*x^22 + 2055434277820*x^21 + 67339875098408*x^20 -137455206467664*x^19 -3454795261811904*x^18 + 6658462520436144*x^17 + 127239108878740960*x^16 -233598242416516448*x^15 -3319521704169602688*x^14 + 5855474436915819072*x^13 + 59811337758679352320*x^12 -101730886549767974912*x^11 -714321007289622382592*x^10 + 1160330933318077565952*x^9 + 5297931664585443663872*x^8 -7913277003677710508032*x^7 -21920874297264830578688*x^6 + 27040909329481317335040*x^5 + 41803829055112808235008*x^4 -29520333186808323244032*x^3 -25277170666850782543872*x^2 -685222867627417534464*x + 110392270647780704256)*(x^22 + 9*x^21 -423*x^20 -3749*x^19 + 75147*x^18 + 654561*x^17 -7317569*x^16 -62521903*x^15 + 427468904*x^14 + 3577123906*x^13 -15407688956*x^12 -126128109752*x^11 + 340418758576*x^10 + 2717946145760*x^9 -4477268348864*x^8 -34415176259456*x^7 + 33562318212352*x^6 + 238695966867456*x^5 -128044060416000*x^4 -804472844361728*x^3 + 107823668035584*x^2 + 1025611956092928*x + 356055349985280);
130T[131,3]=(x^32 -37*x^31 -4880*x^30 + 188150*x^29 + 10444336*x^28 -423311496*x^27 -12941173637*x^26 + 557021929413*x^25 + 10337475464177*x^24 -477630356808351*x^23 -5630502636909945*x^22 + 281610795512040847*x^21 + 2173451931413514898*x^20 -117500082920647580608*x^19 -619341185186639300178*x^18 + 35203015907229737798712*x^17 + 137820384922039203175742*x^16 -7606594574044246250837158*x^15 -25461220151812180082230893*x^14 + 1178785883735715768819116681*x^13 + 3968850273285080586269124885*x^12 -128501581147351564948664211095*x^11 -491284750029687444741476664765*x^10 + 9444056572783681455863468951091*x^9 + 43541574748735160487956352964839*x^8 -428542866942676320951289812646089*x^7 -2450785304046089462833007968856004*x^6 + 9781059299822946190101027939799752*x^5 + 73659288928639695227537675075649576*x^4 -49888330859248004494029506752341684*x^3 -813816865758125904405992821871186760*x^2 -187872164202857543367225160379912640*x + 2875021595750092757804120870391298176)*(x^22 + 17*x^21 -2990*x^20 -47182*x^19 + 3690775*x^18 + 52746152*x^17 -2456785306*x^16 -30602888198*x^15 + 969377209472*x^14 + 9919428486016*x^13 -235452264089446*x^12 -1808605742213084*x^11 + 35424002535531273*x^10 + 178223818364544825*x^9 -3221283776885991054*x^8 -8392375452910439394*x^7 + 165854872343055980511*x^6 + 104541615641909738124*x^5 -4138215989471976112632*x^4 + 2830881609190789626636*x^3 + 31947920763441525478404*x^2 -13123388677143680284392*x -67799898459326516689728);
131T[131,5]=(x^32 -138*x^31 -55173*x^30 + 8222074*x^29 + 1298414679*x^28 -214537268456*x^27 -16958001047442*x^26 + 3235206342313536*x^25 + 133082778079841793*x^24 -31353649146898674430*x^23 -621806810549440826995*x^22 + 205544948232303236912158*x^21 + 1452749726628282841114229*x^20 -934756565805721957530323448*x^19 + 528515745855054703702183062*x^18 + 2976070360209226256288044958272*x^17 -14129069682255241023264667435581*x^16 -6609164954195424284492703713057762*x^15 + 42540001259541717903642611265014739*x^14 + 10065757908188301472411081128956987530*x^13 -63493487699960264879132757206261177703*x^12 -10175077426253705724056646628590815768492*x^11 + 50684141447296493274273598372378156694996*x^10 + 6495674208356783318100350574345057561823324*x^9 -19999695310463349329105945985634940394377916*x^8 -2466872148657856783102377868029079790443761816*x^7 + 2457144226377287084128087161420271224845255248*x^6 + 515356222564914359659132222603586402361415778976*x^5 + 456644916322659276252886639378607770529321495168*x^4 -51040268089909081253831493922164358549824008550400*x^3 -111430716497466058811967225344346641985706333692928*x^2 + 1603706203456777724332214142430146078536495286659072*x + 3229661841029107804428707115110939209704326395240448)*(x^22 + 162*x^21 -20323*x^20 -4304106*x^19 + 125642718*x^18 + 47331385830*x^17 + 118062944057*x^16 -279646018721394*x^15 -5113593869538494*x^14 + 961591224636561402*x^13 + 27075388557216243793*x^12 -1938585475051964423586*x^11 -69731867102782958681735*x^10 + 2162857122497779707979676*x^9 + 97221529238439998152372612*x^8 -1100071588243858649856561860*x^7 -70853748063753609831473565452*x^6 + 56573053947122475214704002664*x^5 + 23620687237678820345801973569424*x^4 + 96816017716147296281979815740768*x^3 -2926470174313794428866705769851264*x^2 -16638023493456782934247184787597056*x + 49846949813429116726923810181900288);
132
133T[132,2]=(x^2 -x + 32)*(x^2 + 2*x + 32)*(x^4 -x^3 -14*x^2 -32*x + 1024)*(x^4 -13*x^3 + 98*x^2 -416*x + 1024)*(x^4 + 5*x^3 + 26*x^2 + 160*x + 1024)*(x^2 + 6*x + 32)^2*(x^6 + 6*x^4 + 188*x^3 + 192*x^2 + 32768)^2*(x^2 + 4*x + 32)^2*(x + 4)^9*(x -4)^11*(x )^58;
134T[132,3]=(x^2 -7*x + 243)*(x^4 + 6*x^3 -x^2 + 1458*x + 59049)*(x^2 -x + 243)^2*(x^2 + 21*x + 243)^2*(x^2 + 12*x + 243)^2*(x^4 -29*x^3 + 498*x^2 -7047*x + 59049)^2*(x^2 + 29*x + 243)^2*(x^2 + 15*x + 243)^3*(x^6 -34*x^5 + 946*x^4 -15312*x^3 + 229878*x^2 -2007666*x + 14348907)^3*(x + 9)^30*(x -9)^30;
135T[132,5]=(x -42)*(x -22)*(x + 36)*(x + 56)*(x^3 -36*x^2 -9676*x + 296736)*(x^3 -36*x^2 -5956*x -15984)*(x -50)^2*(x + 79)^2*(x^2 -50*x -1536)^2*(x^2 + 14*x -8712)^2*(x^2 + 22*x -1863)^2*(x + 92)^3*(x -46)^3*(x^2 -58*x -3584)^3*(x^2 -58*x + 16)^3*(x^2 + 38*x -7464)^3*(x + 31)^4*(x + 66)^4*(x -54)^4*(x -81)^4*(x + 51)^4*(x^2 + 13*x -4914)^4*(x + 19)^6*(x -6)^6*(x + 14)^6*(x^3 -24*x^2 -4371*x + 38954)^6;
136
137T[133,2]=(x^10 + 13*x^9 -166*x^8 -2583*x^7 + 4295*x^6 + 141640*x^5 + 201296*x^4 -2227952*x^3 -6831232*x^2 -4838208*x + 455616)*(x^11 -7*x^10 -266*x^9 + 1599*x^8 + 26379*x^7 -127030*x^6 -1187968*x^5 + 4202368*x^4 + 23087936*x^3 -57004992*x^2 -151882688*x + 243641728)*(x^11 + 2*x^10 -233*x^9 -323*x^8 + 19372*x^7 + 17397*x^6 -708152*x^5 -308464*x^4 + 11385712*x^3 -553856*x^2 -62755712*x + 37851456)*(x^12 -18*x^11 -113*x^10 + 3315*x^9 -2374*x^8 -184777*x^7 + 458606*x^6 + 3502176*x^5 -8968960*x^4 -22450304*x^3 + 40118912*x^2 + 45489472*x + 10328192)*(x + 10)^2*(x + 6)^2*(x + 2)^2*(x^2 + 7*x -32)^2*(x^2 -9*x + 6)^2*(x^4 -9*x^3 -72*x^2 + 774*x -1140)^2;
138T[133,3]=(x^10 + 41*x^9 -605*x^8 -41354*x^7 -138463*x^6 + 11552995*x^5 + 100715233*x^4 -926362150*x^3 -10701390977*x^2 + 19576858413*x + 304007429025)*(x^11 -49*x^10 -427*x^9 + 44958*x^8 -84447*x^7 -14736199*x^6 + 50507615*x^5 + 2109820198*x^4 -4552922853*x^3 -119432824281*x^2 -29397419505*x + 626211321084)*(x^11 + 33*x^10 -1083*x^9 -36418*x^8 + 381521*x^7 + 12525507*x^6 -47992005*x^5 -1387889714*x^4 + 2085990903*x^3 + 22126845105*x^2 -6557563413*x -47524922964)*(x^12 -21*x^11 -1873*x^10 + 36446*x^9 + 1308393*x^8 -22696771*x^7 -430022447*x^6 + 6174656058*x^5 + 67341952467*x^4 -664548175017*x^3 -4308842431575*x^2 + 12323803632984*x + 66605448648528)*(x + 14)^2*(x -4)^2*(x + 1)^2*(x^2 + 7*x -386)^2*(x^2 + 6*x -504)^2*(x^4 -6*x^3 -891*x^2 + 3996*x + 23652)^2;
139T[133,5]=(x^10 + 188*x^9 + 2174*x^8 -1207076*x^7 -33954355*x^6 + 3024266580*x^5 + 70433609091*x^4 -3611573044884*x^3 -39743023824018*x^2 + 1694125163445192*x -2651064898732893)*(x^11 -162*x^10 -8930*x^9 + 2470352*x^8 -22842211*x^7 -11751421394*x^6 + 327980058483*x^5 + 18333036285770*x^4 -577825539312018*x^3 -6226607138905356*x^2 + 52347409601684675*x + 422494923300150790)*(x^11 -112*x^10 -16376*x^9 + 2049274*x^8 + 64817539*x^7 -11362684806*x^6 + 30811512379*x^5 + 20253341156144*x^4 -300673885877876*x^3 -7870455897670406*x^2 + 132572145138064333*x -104117135319350094)*(x^12 -62*x^11 -21672*x^10 + 1427522*x^9 + 150422727*x^8 -10791004000*x^7 -358982318489*x^6 + 31050440183646*x^5 + 136382776174028*x^4 -29834156968246702*x^3 + 155139738465722249*x^2 + 8527188179882608076*x -76111243410974947324)*(x + 56)^2*(x -54)^2*(x + 24)^2*(x^2 + 18*x -1344)^2*(x^2 + 133*x + 3316)^2*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248)^2;
140
141T[134,2]=(x^30 -12*x^29 + 171*x^28 -1469*x^27 + 13902*x^26 -99161*x^25 + 800706*x^24 -5192002*x^23 + 38418216*x^22 -234102808*x^21 + 1635558560*x^20 -9612088576*x^19 + 64330115968*x^18 -363166555776*x^17 + 2307546512384*x^16 -12332074748416*x^15 + 73841488396288*x^14 -371882553114624*x^13 + 2107969240039424*x^12 -10079005390667776*x^11 + 54880238483537920*x^10 -251365976065441792*x^9 + 1320039850325311488*x^8 -5708666570436247552*x^7 + 28172337837760315392*x^6 -111645360662421438464*x^5 + 500872336157637083136*x^4 -1693641690267458207744*x^3 + 6308786473208666652672*x^2 -14167099448608935641088*x + 37778931862957161709568)*(x^26 + 16*x^25 + 235*x^24 + 2551*x^23 + 25810*x^22 + 226709*x^21 + 1858070*x^20 + 14013440*x^19 + 100336400*x^18 + 675219328*x^17 + 4366248256*x^16 + 26912828480*x^15 + 160844121216*x^14 + 922437569024*x^13 + 5147011878912*x^12 + 27558736363520*x^11 + 143073222852608*x^10 + 708018782076928*x^9 + 3366730910924800*x^8 + 15046816626114560*x^7 + 63842799069429760*x^6 + 249269181621469184*x^5 + 908108643612753920*x^4 + 2872170662355533824*x^3 + 8466767299456532480*x^2 + 18446744073709551616*x + 36893488147419103232)*(x + 4)^13*(x -4)^14;
142T[134,3]=(x^5 + 36*x^4 + 15*x^3 -7180*x^2 -38439*x -16614)*(x^5 -553*x^3 + 1008*x^2 + 52677*x -90450)*(x^8 -9*x^7 -1201*x^6 + 8376*x^5 + 417761*x^4 -1488318*x^3 -51485414*x^2 + 69406191*x + 2023727094)*(x^9 -27*x^8 -1281*x^7 + 33224*x^6 + 545061*x^5 -12757434*x^4 -96066506*x^3 + 1768752729*x^2 + 5601302874*x -73529332200)*(x^13 + 27*x^12 -1675*x^11 -44482*x^10 + 992786*x^9 + 25117300*x^8 -290895188*x^7 -6283989662*x^6 + 49327745697*x^5 + 697834288421*x^4 -5044077392364*x^3 -25763418306045*x^2 + 235368363565845*x -350162844232950)^2*(x^15 -27*x^14 -2323*x^13 + 63260*x^12 + 2011274*x^11 -55137628*x^10 -801381320*x^9 + 21771932606*x^8 + 152618954973*x^7 -3798420895449*x^6 -15359635014624*x^5 + 258890351027175*x^4 + 711147928977693*x^3 -4442442415568964*x^2 -7433247264674508*x + 2107064836226736)^2;
143T[134,5]=(x^5 + 54*x^4 -7102*x^3 -264508*x^2 + 1068501*x + 10057054)*(x^5 + 54*x^4 -3462*x^3 -207248*x^2 -2275339*x -3764006)*(x^8 -21*x^7 -16690*x^6 + 346677*x^5 + 80872663*x^4 -1032649371*x^3 -129789702540*x^2 + 131648375115*x + 17706372720966)*(x^9 -21*x^8 -18224*x^7 + 496423*x^6 + 89719869*x^5 -2650715935*x^4 -75120921910*x^3 + 408851256345*x^2 + 4772373685264*x + 8673763068188)*(x^13 + 222*x^12 + 2676*x^11 -2403616*x^10 -131611136*x^9 + 6379843108*x^8 + 543527375793*x^7 -2092077143262*x^6 -676940543558298*x^5 -2884903888664736*x^4 + 334784559267878607*x^3 + 947930846265519246*x^2 -60045742656702272763*x + 155874583262865663918)^2*(x^15 -228*x^14 -4186*x^13 + 4261242*x^12 -165942770*x^11 -28567547026*x^10 + 1897124762111*x^9 + 74987716607562*x^8 -7836326032588074*x^7 -20910762005442720*x^6 + 13465579328999928879*x^5 -176707958854456019208*x^4 -7610052711466104559101*x^3 + 137950975564309551870082*x^2 + 1100634693604438514186340*x -18498018188469662079512904)^2;
144
145T[135,2]=(x + 10)*(x -10)*(x^2 -2*x -44)*(x^2 + 5*x -12)*(x^2 -5*x -12)*(x^2 + 2*x -44)*(x^4 -3*x^3 -75*x^2 + 70*x + 492)*(x^4 -3*x^3 -102*x^2 + 106*x + 1500)*(x^4 + 3*x^3 -102*x^2 -106*x + 1500)*(x^4 + 3*x^3 -75*x^2 -70*x + 492)*(x + 7)^2*(x^2 -x -102)^2*(x^2 + 5*x -30)^2*(x^2 -54)^2*(x^2 -9*x -18)^2*(x^2 -5*x -30)^2*(x^2 + 9*x -18)^2*(x )^2*(x -7)^3*(x^2 + x -102)^3*(x -6)^4*(x + 2)^5*(x -2)^6*(x + 6)^6;
146T[135,3]=(x^2 + 4*x + 243)*(x + 9)^3*(x -9)^3*(x )^76;
147T[135,5]=(x^2 + 3125)*(x^4 -72*x^3 + 3721*x^2 -225000*x + 9765625)*(x^4 + 72*x^3 + 3721*x^2 + 225000*x + 9765625)*(x^4 + 2794*x^2 + 9765625)*(x^2 + 6*x + 3125)^2*(x^2 -6*x + 3125)^3*(x + 25)^29*(x -25)^31;
148
149T[136,2]=(x^2 + 6*x + 32)*(x^8 -3*x^7 + 34*x^6 -4*x^5 + 1096*x^4 -128*x^3 + 34816*x^2 -98304*x + 1048576)*(x^2 -x + 32)*(x + 4)^4*(x -4)^4*(x )^66;
150T[136,3]=(x + 6)*(x + 30)*(x^4 + 2*x^3 -516*x^2 + 896*x -32)*(x^4 -14*x^3 -454*x^2 + 5696*x -15240)*(x^4 -10*x^3 -662*x^2 + 2568*x + 102024)*(x^6 + 4*x^5 -792*x^4 -4808*x^3 + 98112*x^2 + 869184*x + 1427328)*(x -20)^2*(x^2 + 8*x -192)^2*(x^4 -10*x^3 -838*x^2 + 4744*x + 58440)^2*(x + 14)^3*(x^2 + 6*x -34)^3*(x^2 + 6*x -612)^3*(x^3 -4*x^2 -798*x + 6228)^3*(x + 12)^4*(x + 18)^4*(x -10)^4*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056)^4;
151T[136,5]=(x + 48)*(x^4 + 56*x^3 -3468*x^2 -107296*x -711168)*(x^4 -104*x^3 -2828*x^2 + 536160*x -12820992)*(x^4 -80*x^3 -552*x^2 + 102080*x -26224)*(x^6 -44*x^5 -13572*x^4 + 501088*x^3 + 28908016*x^2 -660951744*x -16990787520)*(x^2 + 20*x -732)^2*(x^4 + 88*x^3 -5580*x^2 -405408*x -3902976)^2*(x^2 + 36*x -780)^3*(x^2 -32*x -4044)^3*(x^3 -144*x^2 + 4404*x -29376)^3*(x + 72)^4*(x -54)^4*(x + 16)^4*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^4*(x + 74)^6;
152
153T[137,2]=(x^30 -12*x^29 -672*x^28 + 8222*x^27 + 198647*x^26 -2490839*x^25 -33997091*x^24 + 440162973*x^23 + 3727517448*x^22 -50403834689*x^21 -273150497529*x^20 + 3929193809457*x^19 + 13495107510164*x^18 -213145014390872*x^17 -438838396471160*x^16 + 8081266935372368*x^15 + 8624323717947936*x^14 -212023229103508672*x^13 -71811840838583168*x^12 + 3757570745704667648*x^11 -732472110192991232*x^10 -43226520381642459136*x^9 + 24913102964818350080*x^8 + 304333982925737480192*x^7 -256860709758759231488*x^6 -1197173053741332217856*x^5 + 1251658141446148030464*x^4 + 2182738431536672210944*x^3 -2675596541250067759104*x^2 -986847951795279888384*x + 1420275224875271454720)*(x^26 + 12*x^25 -512*x^24 -6242*x^23 + 113095*x^22 + 1406417*x^21 -14143363*x^20 -180576371*x^19 + 1102273412*x^18 + 14616310871*x^17 -55317034233*x^16 -778714308791*x^15 + 1769637853224*x^14 + 27664517411928*x^13 -33695021904664*x^12 -649576164097472*x^11 + 294195243243040*x^10 + 9780123102752960*x^9 + 1046547243914240*x^8 -89079273416844288*x^7 -44907984192699904*x^6 + 441378766120991744*x^5 + 333766976344588288*x^4 -956589329410314240*x^3 -799752573164208128*x^2 + 531645277845192704*x + 384162502233849856);
154T[137,3]=(x^30 -63*x^29 -2957*x^28 + 253081*x^27 + 2738321*x^26 -444603326*x^25 + 592466573*x^24 + 449191495464*x^23 -3398753753549*x^22 -288728872609461*x^21 + 3329451371396944*x^20 + 123328060984866658*x^19 -1789708402999495337*x^18 -35484473262284141734*x^17 + 609788149350384648904*x^16 + 6809400517728173365682*x^15 -137341180548583059660528*x^14 -836329886554164030026720*x^13 + 20573600538588818693342900*x^12 + 58270737727930707982750744*x^11 -2013840990056696858606887392*x^10 -1190045435868462514881603672*x^9 + 122839180666826685997592329920*x^8 -131323675338358106873576424192*x^7 -4193814657838468611271581955008*x^6 + 10177116339087722083041742954752*x^5 + 59177402362124323867970297867520*x^4 -226004034722037836798690013571200*x^3 + 91761809247793143195777544172544*x^2 + 157977847752322600385482375991808*x -82633293866736204526407834869760)*(x^26 + 45*x^25 -2957*x^24 -150839*x^23 + 3428251*x^22 + 211705052*x^21 -1931990093*x^20 -163830093796*x^19 + 472643662523*x^18 + 77376427958413*x^17 + 33235561379756*x^16 -23228928209681330*x^15 -53907395857650167*x^14 + 4453808404326806428*x^13 + 15427237351415649840*x^12 -530424584054397109088*x^11 -2241063275582993060796*x^10 + 36463398666154599283632*x^9 + 175492495106637165466704*x^8 -1219218843480577744551552*x^7 -6494087458289166808454208*x^6 + 11918492022483491100569856*x^5 + 67623737245850153112122304*x^4 -40616510427257904222863616*x^3 -163136202904259785825689600*x^2 + 36465848048821935692316672*x + 69617980996954628359716864);
155T[137,5]=(x^30 -100*x^29 -54142*x^28 + 5611313*x^27 + 1278141541*x^26 -139804666436*x^25 -17207533798869*x^24 + 2039490998741908*x^23 + 144440645530854388*x^22 -19344437177638063805*x^21 -767027622060469461451*x^20 + 125266710110398834627310*x^19 + 2388140988333306875734814*x^18 -565748665310872585698221846*x^17 -2541907986907043217543270047*x^16 + 1787258239663165002393306228472*x^15 -11504657013960312062939014956797*x^14 -3894464145237143883946265650916921*x^13 + 59187498575050249736168737457925369*x^12 + 5647900329022849028681678201962942225*x^11 -130000028806875530682286084689104747251*x^10 -5056761277935746013264877535279887889760*x^9 + 160414456721355597121586812340280890862628*x^8 + 2320614888211562791767017111603211286266608*x^7 -110692190153932160018941415717278012036658944*x^6 -165489866939327328968642983469350845075046336*x^5 + 37835339748440324479569646943443508020185417216*x^4 -222724459007383356901893605603096164617400486912*x^3 -4641355158807886696312660968701865465084864408832*x^2 + 49692829635261389198595830289688800323173745249280*x -63966569003780972106527045502509775211881260954624)*(x^26 + 50*x^25 -42892*x^24 -2263993*x^23 + 777003413*x^22 + 43053478168*x^21 -7785962853069*x^20 -452774589339466*x^19 + 47447391961309530*x^18 + 2918480793779073361*x^17 -181548546389026580835*x^16 -12070720033687253539502*x^15 + 430694367844896308852518*x^14 + 32540492922115831427219586*x^13 -583457043351123326411102715*x^12 -56749611873992845925036856394*x^11 + 308584560536867664194712800401*x^10 + 61899140420200775899904244805231*x^9 + 229017981269729571518144495548535*x^8 -39115138469511506955349335739416521*x^7 -418650684209550605480963412289727151*x^6 + 12015762951458290711901559524301245792*x^5 + 203144857163992350008883401360499988064*x^4 -1008867621649044530381948243905252694528*x^3 -29331069424376548720004070629664399473408*x^2 -24533351088682723422155838575122516086784*x + 989420110539630613530753837821981843652608);
156
157T[138,2]=(x^6 + 8*x^5 + 69*x^4 + 466*x^3 + 2208*x^2 + 8192*x + 32768)*(x^4 -52*x^2 + 1024)*(x^8 -4*x^7 + 95*x^6 -340*x^5 + 4044*x^4 -10880*x^3 + 97280*x^2 -131072*x + 1048576)*(x^8 -4*x^7 + 59*x^6 -196*x^5 + 2348*x^4 -6272*x^3 + 60416*x^2 -131072*x + 1048576)*(x^10 -8*x^9 + 53*x^8 -254*x^7 + 1708*x^6 -6312*x^5 + 54656*x^4 -260096*x^3 + 1736704*x^2 -8388608*x + 33554432)*(x^2 + 6*x + 32)^2*(x^12 -4*x^11 + 48*x^10 -259*x^9 + 2856*x^8 -12168*x^7 + 72488*x^6 -389376*x^5 + 2924544*x^4 -8486912*x^3 + 50331648*x^2 -134217728*x + 1073741824)^2*(x^6 + 4*x^5 + 48*x^4 + 248*x^3 + 1536*x^2 + 4096*x + 32768)^2*(x + 4)^20*(x -4)^20;
158T[138,3]=(x^6 -14*x^5 + 354*x^4 -1944*x^3 + 86022*x^2 -826686*x + 14348907)*(x^6 -6*x^5 + 150*x^4 + 396*x^3 + 36450*x^2 -354294*x + 14348907)*(x^4 + 22*x^3 + 535*x^2 + 5346*x + 59049)*(x^4 -6*x^3 + 275*x^2 -1458*x + 59049)*(x^12 -16*x^11 + 476*x^10 -9820*x^9 + 187444*x^8 -3401856*x^7 + 60643926*x^6 -826651008*x^5 + 11068380756*x^4 -140906266740*x^3 + 1659709374876*x^2 -13556617751088*x + 205891132094649)^2*(x^6 + 20*x^5 + 504*x^4 + 9360*x^3 + 122472*x^2 + 1180980*x + 14348907)^2*(x -9)^30*(x + 9)^30;
159T[138,5]=(x -76)*(x + 44)*(x + 46)*(x + 10)*(x^2 + 4*x -1382)*(x^3 + 18*x^2 -6002*x -143924)*(x^4 -54*x^3 -9218*x^2 + 613004*x -9068808)*(x^2 -40*x -4226)*(x^3 + 4*x^2 -4096*x -23184)*(x + 66)^2*(x^2 -94*x + 2180)^2*(x^2 + 68*x -3844)^2*(x^2 + 68*x -4344)^2*(x^3 -32*x^2 -3692*x -2784)^2*(x^3 -82*x^2 -152*x + 26256)^2*(x^4 + 122*x^3 -1780*x^2 -343872*x + 6179904)^2*(x^4 -22*x^3 -6640*x^2 + 242392*x + 100144)^2*(x^5 -94*x^4 -9412*x^3 + 941728*x^2 + 7019776*x -1296820224)^2*(x^3 + 56*x^2 -3496*x -195576)^2*(x -6)^4*(x^3 + 58*x^2 + 668*x -3504)^4*(x^6 -42*x^5 -13476*x^4 + 194264*x^3 + 47402544*x^2 + 631237728*x -10563094144)^4;
160
161T[139,2]=(x^26 + 17*x^25 -442*x^24 -8593*x^23 + 77749*x^22 + 1863285*x^21 -6540917*x^20 -227756183*x^19 + 187152474*x^18 + 17326802942*x^17 + 12730168035*x^16 -853229698076*x^15 -1481481750388*x^14 + 27328386895424*x^13 + 66699208468080*x^12 -554227936970752*x^11 -1663297085089216*x^10 + 6607220178538880*x^9 + 23659781684908544*x^8 -38166540707249664*x^7 -178014906169346048*x^6 + 35775469176514560*x^5 + 578537200641277952*x^4 + 340848432375799808*x^3 -560737232276127744*x^2 -685889286135873536*x -203245942648340480)*(x^32 -11*x^31 -742*x^30 + 8119*x^29 + 246001*x^28 -2673031*x^27 -48152651*x^26 + 518587361*x^25 + 6193905800*x^24 -65980706518*x^23 -551362069551*x^22 + 5798292721060*x^21 + 34834847031858*x^20 -361132898699988*x^19 -1576131501395140*x^18 + 16104462782734864*x^17 + 50882131007853176*x^16 -513607324396607888*x^15 -1152925344133165184*x^14 + 11582366786263124480*x^13 + 17730279094687647488*x^12 -180522480872384879616*x^11 -173266538580452919296*x^10 + 1869768093972726430720*x^9 + 919433125061770043392*x^8 -12029085492110867894272*x^7 -1152390831423044616192*x^6 + 42371757674063150284800*x^5 -10953086673422616166400*x^4 -60920781768228764778496*x^3 + 37692026443792126836736*x^2 + 3232837992147381387264*x -857351306117572460544);
162T[139,3]=(x^26 + 26*x^25 -3404*x^24 -86815*x^23 + 4942652*x^22 + 122221419*x^21 -4029365690*x^20 -94992311165*x^19 + 2044992180900*x^18 + 44968362171107*x^17 -675502751193376*x^16 -13541666573554587*x^15 + 146258133605455762*x^14 + 2637738230280597007*x^13 -20159265711851813055*x^12 -332072755783379392261*x^11 + 1631823631794600051842*x^10 + 26442727774580771704632*x^9 -61881749988050679952260*x^8 -1245409852263349525622740*x^7 -117931161864987046292920*x^6 + 28611089945953233436020960*x^5 + 65815644717324946164766752*x^4 -132444506596401972438797952*x^3 -668273998620812512797220608*x^2 -854576558146613558006157312*x -361046685422827943438948352)*(x^32 -28*x^31 -5294*x^30 + 148517*x^29 + 12457208*x^28 -349872849*x^27 -17228077490*x^26 + 483755653103*x^25 + 15609710229548*x^24 -437234738826045*x^23 -9782257201916976*x^22 + 272418486233936885*x^21 + 4364054420205123774*x^20 -120275305580452285001*x^19 -1404757404336598792411*x^18 + 38107085221008980990085*x^17 + 326669963147141317984548*x^16 -8680656687036448418934696*x^15 -54218203957534383944049924*x^14 + 1411530312814679877186148740*x^13 + 6222037699713162982820237712*x^12 -161190971593459635147694654464*x^11 -460417855046031790470582837696*x^10 + 12583287450814638791202584338944*x^9 + 18294605328077221395335666264064*x^8 -643478326133518990085595096768768*x^7 -88771148260908576320422650479616*x^6 + 20015661792140267960790886794504192*x^5 -21206765614213451481263873720451072*x^4 -323523722258743638381614573283569664*x^3 + 661164723763901659785643059789840384*x^2 + 1751977281141422400191324395028889600*x -4557780318207115471777741479301152768);
163T[139,5]=(x^26 + 312*x^25 + 3590*x^24 -8215508*x^23 -672957494*x^22 + 78415604474*x^21 + 11126213840384*x^20 -238086059255620*x^19 -86187630860091114*x^18 -1275078084387830062*x^17 + 367234760002192732398*x^16 + 14032506409565529909294*x^15 -840538621053384240936385*x^14 -54538742094825605026168550*x^13 + 708873422884129038397473300*x^12 + 109409161614650194974886602592*x^11 + 976497946639656450192301872299*x^10 -109595782337792548822680466501930*x^9 -2755072714271167993814887163919976*x^8 + 35049794649911039152757970831420362*x^7 + 2110578461487274704924734096450340021*x^6 + 17117161913615040464713699937383767724*x^5 -409675124062914065381065186415930475280*x^4 -9457693992654998893321638198724795692352*x^3 -68200792211673422541388749286842423439856*x^2 -120381789674411628256330969901053645140736*x + 373456089765660168597499334094850577058112)*(x^32 -288*x^31 -22360*x^30 + 13551251*x^29 -328198349*x^28 -264105188833*x^27 + 17531792529568*x^26 + 2703852110246700*x^25 -275716111731828714*x^24 -14605252312594267110*x^23 + 2344719291026962484032*x^22 + 26554504253504007488572*x^21 -12067876762641699674441917*x^20 + 150847243610569781580265668*x^19 + 38258522332258097435144799396*x^18 -1157666973498927721148823263623*x^17 -70866603229568638362816016470766*x^16 + 3532752987178009944670718765881821*x^15 + 59732563833126612088747289734004398*x^14 -5820597187129087569024182099786102317*x^13 + 21853092767138252449851389525948404294*x^12 + 5072717759304473571687492036646768366695*x^11 -90517727358698158024169682616075327589560*x^10 -1745167956685357855585573079489032306544319*x^9 + 66749934959464177062857535807164430652845483*x^8 -281500923026207386629029055494981423500360369*x^7 -13848627121729971733418749739783283063856899842*x^6 + 225560453513154395714964303940415658028013317464*x^5 -1077966978356605133575661379037468328962980045584*x^4 -1489004810637866583882292727970986375326530017168*x^3 + 19019747106509974702276536819214353581591920938848*x^2 + 717923908229855363483918769935836998629500625856*x -55495521150812512915445869390787278450549126508928);
164
165T[140,2]=(x^4 -x^3 + 48*x^2 -32*x + 1024)*(x^2 + 8*x + 32)*(x^8 -7*x^7 + 64*x^6 -422*x^5 + 3012*x^4 -13504*x^3 + 65536*x^2 -229376*x + 1048576)*(x^6 + 6*x^5 + 10*x^4 -36*x^3 + 320*x^2 + 6144*x + 32768)*(x^2 + 10*x + 32)^2*(x^2 -2*x + 32)^2*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)^2*(x + 4)^10*(x -4)^10*(x )^58;
166T[140,3]=(x^2 + 17*x -180)*(x^2 + 23*x -120)*(x^3 + 10*x^2 -279*x -2640)*(x^3 -6*x^2 -487*x + 780)*(x -11)^2*(x + 3)^2*(x + 17)^2*(x + 2)^2*(x + 11)^2*(x -26)^2*(x -22)^2*(x + 9)^2*(x + 23)^2*(x^2 -3*x -840)^2*(x^2 -5*x -276)^2*(x -1)^3*(x^2 -3*x -144)^3*(x^3 -26*x^2 -271*x + 6056)^3*(x^4 -14*x^3 -775*x^2 + 11976*x -1584)^3*(x + 26)^4*(x -10)^4*(x -8)^4*(x -6)^4*(x -24)^4*(x + 12)^4*(x + 14)^6*(x + 4)^6*(x^2 + 6*x -504)^6;
167T[140,5]=(x^2 -16*x + 3125)*(x^2 + 96*x + 3125)*(x^2 -84*x + 3125)^2*(x^2 -10*x + 3125)^2*(x^2 -54*x + 3125)^2*(x^2 + 56*x + 3125)^3*(x^4 + 18*x^3 + 4906*x^2 + 56250*x + 9765625)^3*(x -25)^40*(x + 25)^40;
168
169T[141,2]=(x -8)*(x^11 -x^10 -293*x^9 + 291*x^8 + 30852*x^7 -29294*x^6 -1418020*x^5 + 1461392*x^4 + 27277664*x^3 -39282656*x^2 -186245952*x + 359412480)*(x^9 -5*x^8 -209*x^7 + 807*x^6 + 13032*x^5 -35434*x^4 -209728*x^3 + 405376*x^2 + 600896*x -24352)*(x^9 -9*x^8 -173*x^7 + 1499*x^6 + 8440*x^5 -69338*x^4 -135740*x^3 + 889800*x^2 + 933872*x -1109952)*(x^8 + 11*x^7 -113*x^6 -1241*x^5 + 3948*x^4 + 40274*x^3 -43544*x^2 -397160*x + 38400)*(x + 6)^2*(x^7 + 9*x^6 -98*x^5 -824*x^4 + 2576*x^3 + 16160*x^2 -26272*x + 2112)^2*(x^12 -7*x^11 -274*x^10 + 1736*x^9 + 26508*x^8 -138509*x^7 -1138205*x^6 + 3941618*x^5 + 22596696*x^4 -24468848*x^3 -184114592*x^2 -201624416*x -45475136)^2;
170T[141,3]=(x^14 + 20*x^13 + 986*x^12 + 16192*x^11 + 487161*x^10 + 7083036*x^9 + 170572932*x^8 + 2108226528*x^7 + 41449222476*x^6 + 418246192764*x^5 + 6990227883027*x^4 + 56458013020992*x^3 + 835426568910798*x^2 + 4117822641892980*x + 50031545098999707)*(x^24 -16*x^23 + 914*x^22 -11616*x^21 + 479621*x^20 -5441180*x^19 + 190460792*x^18 -2012813880*x^17 + 64103480168*x^16 -630043533420*x^15 + 18414180444762*x^14 -167269202418672*x^13 + 4693776192132012*x^12 -40646416187737296*x^11 + 1087338941082751338*x^10 -9040436066994971940*x^9 + 223515014699595259368*x^8 -1705434273452769468840*x^7 + 39214188084523467502008*x^6 -272230642561775225734260*x^5 + 5831071665138343248464421*x^4 -34317296399294484243437088*x^3 + 656158760750353266136007586*x^2 -2791187376145922865138728112*x + 42391158275216203514294433201)*(x -9)^20*(x + 9)^20;
171T[141,5]=(x -69)*(x^8 + 95*x^7 -11479*x^6 -1103345*x^5 + 30906766*x^4 + 2731185730*x^3 -46687081424*x^2 -1431102660480*x + 24395636744136)*(x^9 -86*x^8 -12017*x^7 + 1014308*x^6 + 37655270*x^5 -3418824688*x^4 -17227520568*x^3 + 2899605603296*x^2 -1627052415936*x -517501402558080)*(x^9 + 39*x^8 -15653*x^7 -679769*x^6 + 60896152*x^5 + 2606596474*x^4 -57428632324*x^3 -2632623904272*x^2 -27442814260776*x -88197893749872)*(x^11 -11*x^10 -26749*x^9 + 275637*x^8 + 247446400*x^7 -2551417690*x^6 -916991134228*x^5 + 10368944487136*x^4 + 1179418523034752*x^3 -12118775324163840*x^2 -358098666919934976*x + 1408220971685203968)*(x -6)^2*(x^7 + 58*x^6 -6790*x^5 -352420*x^4 + 13675936*x^3 + 602933120*x^2 -7124159072*x -214246699008)^2*(x^12 -42*x^11 -22194*x^10 + 896220*x^9 + 168120520*x^8 -7020241360*x^7 -495582213760*x^6 + 22691189335680*x^5 + 412296630920960*x^4 -23865976877683200*x^3 + 43102826727135744*x^2 + 5941933918434173952*x -49169413339880656896)^2;
172
173T[142,2]=(x^36 -4*x^35 + 123*x^34 -492*x^33 + 8436*x^32 -29192*x^31 + 433976*x^30 -1132643*x^29 + 18616912*x^28 -35352337*x^27 + 719971592*x^26 -983262420*x^25 + 26201079584*x^24 -24606740000*x^23 + 903058655488*x^22 -487709032960*x^21 + 29552082827648*x^20 -6790580173824*x^19 + 947199073806848*x^18 -217298565562368*x^17 + 30261332815511552*x^16 -15981249592033280*x^15 + 946925632736985088*x^14 -825665184071680000*x^13 + 28133194983293321216*x^12 -33784639498286530560*x^11 + 791617137072398139392*x^10 -1243849779217782800384*x^9 + 20960779486497328857088*x^8 -40807764741950405607424*x^7 + 500340262883261023256576*x^6 -1076994705999458461548544*x^5 + 9959470912372081755684864*x^4 -18587234476574923561107456*x^3 + 148697875812599388488859648*x^2 -154742504910672534362390528*x + 1237940039285380274899124224)*(x^22 + 4*x^21 + 123*x^20 + 492*x^19 + 8436*x^18 + 32288*x^17 + 410400*x^16 + 1444352*x^15 + 15803136*x^14 + 52173696*x^13 + 528383488*x^12 + 1697873408*x^11 + 16908271616*x^10 + 53425864704*x^9 + 517837160448*x^8 + 1514512842752*x^7 + 13770738892800*x^6 + 34668976013312*x^5 + 289858752872448*x^4 + 540959720865792*x^3 + 4327677766926336*x^2 + 4503599627370496*x + 36028797018963968)*(x + 4)^15*(x -4)^15;
174T[142,3]=(x^7 + 17*x^6 -1019*x^5 -13273*x^4 + 214816*x^3 + 1244828*x^2 -18104883*x + 38750643)*(x^7 + 35*x^6 -471*x^5 -21295*x^4 + 3040*x^3 + 2541708*x^2 + 6755253*x -8855775)*(x^8 -37*x^7 -723*x^6 + 33601*x^5 + 96308*x^4 -8642220*x^3 + 9645309*x^2 + 452493945*x + 1112237244)*(x^8 -19*x^7 -1307*x^6 + 23163*x^5 + 514104*x^4 -7639452*x^3 -71241003*x^2 + 609738975*x + 3624694272)*(x^18 -16*x^17 -2960*x^16 + 43216*x^15 + 3468454*x^14 -44252424*x^13 -2076814786*x^12 + 21680590996*x^11 + 685173739571*x^10 -5258278404004*x^9 -124369813806802*x^8 + 563639190026844*x^7 + 11513094675563163*x^6 -14002415409856608*x^5 -429852576932248806*x^4 -759052134078828336*x^3 + 1951884648440897877*x^2 + 4014141943623066828*x + 3275605948382784)^2*(x^11 + 20*x^10 -1187*x^9 -22120*x^8 + 502297*x^7 + 8234456*x^6 -92135970*x^5 -1160082072*x^4 + 7308570168*x^3 + 50976534492*x^2 -157192244109*x -296849365704)^2;
175T[142,5]=(x^7 + 104*x^6 -8375*x^5 -901220*x^4 + 24259690*x^3 + 2425351976*x^2 -24822978131*x -2014851224550)*(x^7 + 154*x^6 + 1549*x^5 -712858*x^4 -41954082*x^3 -927853772*x^2 -8496483683*x -27138345364)*(x^8 -96*x^7 -10815*x^6 + 1164372*x^5 + 18105490*x^4 -2968488176*x^3 -5003731419*x^2 + 2073805022850*x + 1996574997168)*(x^8 -46*x^7 -15111*x^6 + 453126*x^5 + 57834650*x^4 -1007893836*x^3 -15955481299*x^2 + 173787268356*x + 949375537284)*(x^18 -128*x^17 -30450*x^16 + 4474760*x^15 + 321500421*x^14 -61348726936*x^13 -1081296071110*x^12 + 419548473171756*x^11 -4022748764614170*x^10 -1478036843777615020*x^9 + 40867616182770305324*x^8 + 2347478843158815073208*x^7 -109865400824981564845615*x^6 -546180523411935821476900*x^5 + 99204062857382581277093224*x^4 -1665325064483683548738592704*x^3 + 919385657807740524464652880*x^2 + 183357744009388767901862854464*x -1135528740280949813097386874880)^2*(x^11 + 72*x^10 -12811*x^9 -924384*x^8 + 34623594*x^7 + 2841259056*x^6 -1485692751*x^5 -1885598509134*x^4 -7380431211916*x^3 + 369214566286776*x^2 + 1050417423887008*x + 218800133028864)^2;
176
177T[143,2]=(x^11 -251*x^9 + 120*x^8 + 22538*x^7 -21504*x^6 -857480*x^5 + 1243712*x^4 + 11950272*x^3 -22183104*x