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\\ charpoly_s8new.gp
\\ This is a table of characteristic polynomials of the
\\ Hecke operators T_p acting on the space S_8^{new}(Gamma_0(N))
\\ of weight 8 cuspidal newforms for Gamma_0(N).
\\ The cases in which S_k = S_k^{new} are omitted, since
\\ they appear in other tables.
\\ William Stein ([email protected]), September, 1998.

\\ N<=69.

{
T=matrix(69,97,m,n,0);
T[4,2]=;
T[4,3]=;
T[4,5]=;
T[4,7]=;
T[4,11]=;
T[4,13]=;
T[4,17]=;
T[4,19]=;
T[4,23]=;
T[4,29]=;
T[4,31]=;
T[4,37]=;
T[4,41]=;
T[4,43]=;
T[4,47]=;
T[4,53]=;
T[4,59]=;
T[4,61]=;
T[4,67]=;
T[4,71]=;
T[4,73]=;
T[4,79]=;
T[4,83]=;
T[4,89]=;
T[4,97]=;

T[6,2]=x -8;
T[6,3]=x -27;
T[6,5]=x + 114;
T[6,7]=x + 1576;
T[6,11]=x -7332;
T[6,13]=x + 3802;
T[6,17]=x + 6606;
T[6,19]=x -24860;
T[6,23]=x -41448;
T[6,29]=x + 41610;
T[6,31]=x -33152;
T[6,37]=x + 36466;
T[6,41]=x + 639078;
T[6,43]=x + 156412;
T[6,47]=x + 433776;
T[6,53]=x -786078;
T[6,59]=x -745140;
T[6,61]=x + 1660618;
T[6,67]=x + 3290836;
T[6,71]=x -5716152;
T[6,73]=x -2659898;
T[6,79]=x -3807440;
T[6,83]=x -2229468;
T[6,89]=x -5991210;
T[6,97]=x + 4060126;

T[8,2]=(x )^2;
T[8,3]=(x + 84)*(x -44);
T[8,5]=(x -430)*(x + 82);
T[8,7]=(x + 1224)*(x + 456);
T[8,11]=(x + 3164)*(x + 2524);
T[8,13]=(x -6118)*(x + 10778);
T[8,17]=(x + 16270)*(x + 11150);
T[8,19]=(x + 5476)*(x -4124);
T[8,23]=(x -1576)*(x -81704);
T[8,29]=(x -122838)*(x -99798);
T[8,31]=(x + 40480)*(x -251360);
T[8,37]=(x + 419442)*(x + 52338);
T[8,41]=(x -141402)*(x + 319398);
T[8,43]=(x -710788)*(x + 690428);
T[8,47]=(x -284112)*(x + 682032);
T[8,53]=(x -1813118)*(x -296062);
T[8,59]=(x + 897548)*(x + 966028);
T[8,61]=(x + 884810)*(x -1887670);
T[8,67]=(x -4659692)*(x -2965868);
T[8,71]=(x + 2710792)*(x + 2548232);
T[8,73]=(x + 5670854)*(x + 1680326);
T[8,79]=(x + 5124176)*(x -4038064);
T[8,83]=(x + 5385764)*(x + 1563556);
T[8,89]=(x + 6473046)*(x -11605674);
T[8,97]=(x -10931618)*(x + 6065758);

T[9,2]=(x + 6)*(x^2 -360);
T[9,3]=(x )^3;
T[9,5]=(x + 390)*(x^2 -92160);
T[9,7]=(x + 64)*(x -260)^2;
T[9,11]=(x -948)*(x^2 -36864000);
T[9,13]=(x + 5098)*(x -6890)^2;
T[9,17]=(x + 28386)*(x^2 -560701440);
T[9,19]=(x + 8620)*(x -33176)^2;
T[9,23]=(x -15288)*(x^2 -996802560);
T[9,29]=(x + 36510)*(x^2 -19079424000);
T[9,31]=(x + 276808)*(x -1508)^2;
T[9,37]=(x -268526)*(x + 380770)^2;
T[9,41]=(x -629718)*(x^2 -7750656000);
T[9,43]=(x -685772)*(x -7640)^2;
T[9,47]=(x + 583296)*(x^2 -320209551360);
T[9,53]=(x -428058)*(x^2 -1060987299840);
T[9,59]=(x + 1306380)*(x^2 -7332839424000);
T[9,61]=(x -300662)*(x + 988858)^2;
T[9,67]=(x + 507244)*(x -3857360)^2;
T[9,71]=(x + 5560632)*(x^2 -17857511424000);
T[9,73]=(x -1369082)*(x + 2004730)^2;
T[9,79]=(x + 6913720)*(x -2699684)^2;
T[9,83]=(x -4376748)*(x^2 -7352582307840);
T[9,89]=(x -8528310)*(x^2 -59927040000000);
T[9,97]=(x + 8826814)*(x + 12957490)^2;

T[10,2]=x -8;
T[10,3]=x -28;
T[10,5]=x -125;
T[10,7]=x -104;
T[10,11]=x + 5148;
T[10,13]=x + 8602;
T[10,17]=x -20274;
T[10,19]=x -45500;
T[10,23]=x + 72072;
T[10,29]=x -231510;
T[10,31]=x + 80128;
T[10,37]=x -104654;
T[10,41]=x -584922;
T[10,43]=x + 795532;
T[10,47]=x -425664;
T[10,53]=x -1500798;
T[10,59]=x -246420;
T[10,61]=x -893942;
T[10,67]=x + 2336836;
T[10,71]=x + 203688;
T[10,73]=x + 3805702;
T[10,79]=x -5053040;
T[10,83]=x + 45492;
T[10,89]=x -980010;
T[10,97]=x + 5247646;

T[12,2]=(x )^2;
T[12,3]=(x + 27)*(x -27);
T[12,5]=(x -270)*(x + 378);
T[12,7]=(x + 832)*(x -1112);
T[12,11]=(x + 5724)*(x + 2484);
T[12,13]=(x -14870)*(x + 4570);
T[12,17]=(x + 22302)*(x + 36558);
T[12,19]=(x + 16300)*(x -51740);
T[12,23]=(x + 115128)*(x -22248);
T[12,29]=(x + 157194)*(x -157086);
T[12,31]=(x + 16456)*(x + 103936);
T[12,37]=(x + 149266)*(x + 94834);
T[12,41]=(x + 241110)*(x -659610);
T[12,43]=(x + 443188)*(x + 75772);
T[12,47]=(x -922752)*(x -405648);
T[12,53]=(x + 1346274)*(x + 697626);
T[12,59]=(x + 1303884)*(x -870156);
T[12,61]=(x -2067062)*(x -1833782);
T[12,67]=(x -1369388)*(x + 1680748);
T[12,71]=(x + 1070280)*(x -2714040);
T[12,73]=(x -2868794)*(x + 2403334);
T[12,79]=(x -2301512)*(x + 1129648);
T[12,83]=(x -4708692)*(x -5912028);
T[12,89]=(x -4143690)*(x + 897750);
T[12,97]=(x + 1622974)*(x -13719074);

T[14,2]=(x + 8)*(x -8)^3;
T[14,3]=(x + 66)*(x + 82)*(x^2 -70*x -744);
T[14,5]=(x -448)*(x + 400)*(x^2 -126*x -155520);
T[14,7]=(x + 343)^2*(x -343)^2;
T[14,11]=(x -2408)*(x -40)*(x^2 + 3420*x -28335744);
T[14,13]=(x -7116)*(x + 4452)*(x^2 + 6398*x -60101048);
T[14,17]=(x -2486)*(x -36502)*(x^2 + 38472*x + 354074796);
T[14,19]=(x + 46222)*(x -36482)*(x^2 + 43358*x + 353711560);
T[14,23]=(x + 105200)*(x + 12880)*(x^2 -89928*x + 1896721920);
T[14,29]=(x + 88094)*(x + 126334)*(x^2 -159576*x -4918678740);
T[14,31]=(x + 170964)*(x -282636)*(x^2 + 143612*x + 4461367552);
T[14,37]=(x -20954)*(x + 214534)*(x^2 + 271832*x -157363463444);
T[14,41]=(x -318486)*(x + 140874)*(x^2 -64848*x -74003569668);
T[14,43]=(x -36464)*(x -77744)*(x^2 -1527964*x + 583387157728);
T[14,47]=(x -716868)*(x -703716)*(x^2 -485436*x -540103776192);
T[14,53]=(x + 56946)*(x -1603278)*(x^2 + 145716*x -79218330012);
T[14,59]=(x + 2149862)*(x + 1171894)*(x^2 + 4183662*x + 4373344023480);
T[14,61]=(x -3084360)*(x + 2068872)*(x^2 + 280658*x -1039462897040);
T[14,67]=(x + 994268)*(x + 3034364)*(x^2 -5671648*x + 5763055131376);
T[14,71]=(x + 106624)*(x -33280)*(x^2 + 619272*x -850548584448);
T[14,73]=(x + 2971454)*(x -988930)*(x^2 -3939628*x + 3486040529620);
T[14,79]=(x -3415896)*(x + 2376168)*(x^2 -4656616*x -16952152365440);
T[14,83]=(x + 2122358)*(x + 15142)*(x^2 -1235850*x -35507978523864);
T[14,89]=(x -174810)*(x -6920346)*(x^2 + 17241420*x + 63487720577700);
T[14,97]=(x -13506790)*(x -4952710)*(x^2 + 740936*x -2847474625940);

T[15,2]=(x + 22)*(x + 13)*(x^2 -7*x -138);
T[15,3]=(x + 27)*(x -27)^3;
T[15,5]=(x -125)^2*(x + 125)^2;
T[15,7]=(x + 420)*(x -1380)*(x^2 -1304*x -46080);
T[15,11]=(x + 3304)*(x + 2944)*(x^2 -3448*x -29376048);
T[15,13]=(x -8506)*(x + 11006)*(x^2 + 8988*x -81820108);
T[15,17]=(x + 9994)*(x + 16546)*(x^2 + 5492*x -286949484);
T[15,19]=(x -41236)*(x + 25364)*(x^2 + 49584*x -20483920);
T[15,23]=(x + 5880)*(x -84120)*(x^2 -91848*x -1966256640);
T[15,29]=(x -163042)*(x -132802)*(x^2 -181772*x -2060549340);
T[15,31]=(x + 55800)*(x + 201600)*(x^2 -304232*x + 22433068800);
T[15,37]=(x -228170)*(x -120530)*(x^2 + 502316*x + 31820561620);
T[15,41]=(x + 115910)*(x + 139670)*(x^2 -631172*x + 30837469380);
T[15,43]=(x + 755492)*(x + 19148)*(x^2 -353640*x + 23614207376);
T[15,47]=(x -836984)*(x -841016)*(x^2 + 467480*x + 49382888064);
T[15,53]=(x -501890)*(x -1641650)*(x^2 + 568052*x + 54364123620);
T[15,59]=(x + 989656)*(x + 1586176)*(x^2 -287224*x -3349911332400);
T[15,61]=(x + 1658162)*(x + 372962)*(x^2 + 2514180*x + 1579956747716);
T[15,67]=(x -4561044)*(x + 4523844)*(x^2 + 5073832*x + 3899842029456);
T[15,71]=(x + 389408)*(x -1512832)*(x^2 + 3748816*x + 2634564492864);
T[15,73]=(x + 1522910)*(x -5617330)*(x^2 + 1477212*x -22097955229180);
T[15,79]=(x -3901080)*(x -4231920)*(x^2 + 4627720*x + 4381741411200);
T[15,83]=(x + 9394116)*(x + 1854204)*(x^2 + 6072936*x + 7951958141328);
T[15,89]=(x -2803746)*(x + 6888174)*(x^2 -16516356*x + 68134385955780);
T[15,97]=(x -3700034)*(x -5099426)*(x^2 -2723428*x -25751505484604);

T[16,2]=(x )^3;
T[16,3]=(x + 12)*(x + 44)*(x -84);
T[16,5]=(x + 82)*(x -430)*(x + 210);
T[16,7]=(x -1224)*(x + 1016)*(x -456);
T[16,11]=(x -2524)*(x -3164)*(x + 1092);
T[16,13]=(x + 10778)*(x -6118)*(x -1382);
T[16,17]=(x + 16270)*(x -14706)*(x + 11150);
T[16,19]=(x -5476)*(x + 4124)*(x -39940);
T[16,23]=(x + 68712)*(x + 81704)*(x + 1576);
T[16,29]=(x -122838)*(x + 102570)*(x -99798);
T[16,31]=(x + 251360)*(x + 227552)*(x -40480);
T[16,37]=(x + 419442)*(x + 52338)*(x -160526);
T[16,41]=(x -10842)*(x + 319398)*(x -141402);
T[16,43]=(x -690428)*(x -630748)*(x + 710788);
T[16,47]=(x -682032)*(x + 472656)*(x + 284112);
T[16,53]=(x -296062)*(x -1813118)*(x + 1494018);
T[16,59]=(x -966028)*(x + 2640660)*(x -897548);
T[16,61]=(x -1887670)*(x + 884810)*(x -827702);
T[16,67]=(x + 4659692)*(x + 2965868)*(x -126004);
T[16,71]=(x -2548232)*(x -1414728)*(x -2710792);
T[16,73]=(x + 5670854)*(x -980282)*(x + 1680326);
T[16,79]=(x -3566800)*(x + 4038064)*(x -5124176);
T[16,83]=(x -1563556)*(x -5385764)*(x + 5672892);
T[16,89]=(x -11605674)*(x + 6473046)*(x + 11951190);
T[16,97]=(x -10931618)*(x -8682146)*(x + 6065758);

T[18,2]=(x -8)*(x + 8);
T[18,3]=(x )^2;
T[18,5]=(x -210)*(x -114);
T[18,7]=(x -1016)*(x + 1576);
T[18,11]=(x + 7332)*(x + 1092);
T[18,13]=(x -1382)*(x + 3802);
T[18,17]=(x -6606)*(x + 14706);
T[18,19]=(x -24860)*(x + 39940);
T[18,23]=(x + 41448)*(x + 68712);
T[18,29]=(x -41610)*(x -102570);
T[18,31]=(x -33152)*(x -227552);
T[18,37]=(x -160526)*(x + 36466);
T[18,41]=(x -639078)*(x + 10842);
T[18,43]=(x + 156412)*(x + 630748);
T[18,47]=(x + 472656)*(x -433776);
T[18,53]=(x + 786078)*(x -1494018);
T[18,59]=(x + 745140)*(x + 2640660);
T[18,61]=(x -827702)*(x + 1660618);
T[18,67]=(x + 3290836)*(x + 126004);
T[18,71]=(x + 5716152)*(x -1414728);
T[18,73]=(x -2659898)*(x -980282);
T[18,79]=(x -3807440)*(x + 3566800);
T[18,83]=(x + 2229468)*(x + 5672892);
T[18,89]=(x -11951190)*(x + 5991210);
T[18,97]=(x -8682146)*(x + 4060126);

T[20,2]=(x )^3;
T[20,3]=(x + 6)*(x^2 + 20*x -4416);
T[20,5]=(x + 125)*(x -125)^2;
T[20,7]=(x + 706)*(x^2 -1660*x + 323104);
T[20,11]=(x + 3840)*(x^2 -3600*x -33339600);
T[20,13]=(x + 4054)*(x^2 -13180*x + 37575364);
T[20,17]=(x -858)*(x^2 -5460*x -981659484);
T[20,19]=(x -21044)*(x^2 + 40472*x + 263177296);
T[20,23]=(x -85338)*(x^2 + 41820*x + 419304096);
T[20,29]=(x + 83106)*(x^2 -118668*x + 2935249956);
T[20,31]=(x + 145564)*(x^2 + 115928*x -41450184704);
T[20,37]=(x + 498886)*(x^2 -306940*x -69364995836);
T[20,41]=(x + 689514)*(x^2 + 353148*x -75487736124);
T[20,43]=(x -867890)*(x^2 -1215340*x + 323163388000);
T[20,47]=(x -235638)*(x^2 + 2068500*x + 1069567347456);
T[20,53]=(x -1835442)*(x^2 -1400460*x -323963254044);
T[20,59]=(x -629508)*(x^2 + 1992504*x + 500302949904);
T[20,61]=(x + 2667958)*(x^2 + 1678676*x -5384698256156);
T[20,67]=(x + 3373306)*(x^2 -3663940*x + 403671776224);
T[20,71]=(x + 2600052)*(x^2 -1794936*x -761950469376);
T[20,73]=(x + 1628494)*(x^2 -5062180*x -2578241352956);
T[20,79]=(x + 4243528)*(x^2 -10178224*x + 19260741458944);
T[20,83]=(x -1251378)*(x^2 + 7214100*x + 13004909778816);
T[20,89]=(x -6299466)*(x^2 + 15330828*x + 49903967496996);
T[20,97]=(x -3976514)*(x^2 -14024020*x + 49147910866084);

T[21,2]=(x -2)*(x^2 -12*x -232)*(x^3 + 3*x^2 -300*x -792)*(x^2 + 9*x -246);
T[21,3]=(x + 27)^4*(x -27)^4;
T[21,5]=(x + 278)*(x^2 + 24*x -17008)*(x^3 + 114*x^2 -180480*x + 11635200)*(x^2 + 360*x -74100);
T[21,7]=(x + 343)^3*(x -343)^5;
T[21,11]=(x + 4496)*(x^2 -2124*x -19883356)*(x^3 -8736*x^2 + 14382132*x + 21104274672)*(x^2 + 4932*x -19176384);
T[21,13]=(x + 7274)*(x^2 + 1084*x -21935228)*(x^3 -12762*x^2 -86131236*x + 755769903784)*(x^2 -7708*x -7230524);
T[21,17]=(x -11382)*(x^2 + 28584*x + 121953804)*(x^2 + 29256*x -287563248)*(x^3 -5490*x^2 -915671424*x + 12467114860032);
T[21,19]=(x + 15884)*(x^2 + 25816*x -160026224)*(x^3 -8004*x^2 -1403637264*x -5437419408320)*(x^2 + 63728*x + 782053936);
T[21,23]=(x -86100)*(x^2 -68316*x + 1166614596)*(x^3 + 101868*x^2 + 229346628*x -102906745004448)*(x^2 -82260*x + 1392518400);
T[21,29]=(x -40702)*(x^2 -211308*x + 1307845988)*(x^3 + 255342*x^2 + 17395802028*x + 208394349111720)*(x^2 + 435996*x + 46362346164);
T[21,31]=(x + 44760)*(x^2 -435840*x + 43635483648)*(x^2 + 29240*x -27226807040)*(x^3 -80592*x^2 -40275805632*x + 2474931129739264);
T[21,37]=(x + 580962)*(x^2 + 28428*x -887182812)*(x^2 + 709556*x + 123432685924)*(x^3 -800322*x^2 + 125635398780*x + 14464751702355208);
T[21,41]=(x + 171658)*(x^2 -749760*x + 127701459200)*(x^3 -1198002*x^2 + 6543486720*x + 244624083804021600)*(x^2 + 25056*x -416101387716);
T[21,43]=(x + 741148)*(x^2 -397096*x -71585337968)*(x^3 -119052*x^2 -253045918416*x -30813937518748736)*(x^2 -496216*x + 23523686224);
T[21,47]=(x -1071720)*(x^2 -840168*x -268603868016)*(x^3 -1019256*x^2 -127235171568*x + 224671939171593984)*(x^2 + 1575000*x + 551244428160);
T[21,53]=(x + 1721778)*(x^2 + 246684*x -263627226684)*(x^3 + 1174878*x^2 + 450640041468*x + 56572054849143432)*(x^2 -2057436*x + 800144528964);
T[21,59]=(x + 1557012)*(x^2 + 1101024*x -455709488016)*(x^2 -2199504*x -345691376064)*(x^3 + 692556*x^2 -2233605586944*x -311308042863513600);
T[21,61]=(x -2597998)*(x^2 -28996*x -397808236556)*(x^2 + 1951108*x + 504531767044)*(x^3 -4507314*x^2 + 3329954984748*x + 3793356056270637352);
T[21,67]=(x + 963548)*(x^2 + 4480784*x + 4656119933104)*(x^2 -1532048*x -11591287019456)*(x^3 + 2951364*x^2 + 1858724925312*x -424115570463163136);
T[21,71]=(x + 4063380)*(x^2 -2024004*x -3929864540796)*(x^3 + 2009844*x^2 -23132611417788*x -56763166204015715808)*(x^2 -54540*x -387209643840);
T[21,73]=(x + 5370222)*(x^2 + 1709028*x -10787980935996)*(x^3 + 3938874*x^2 -2273939271972*x -2844569079468186152)*(x^2 -666604*x -22405484001836);
T[21,79]=(x -4094936)*(x^2 -1048168*x -26777501165936)*(x^2 -2322952*x + 578840156416)*(x^3 -6406008*x^2 + 7896903916944*x + 3556944786874159360);
T[21,83]=(x + 1343124)*(x^2 + 4894296*x -7065815171184)*(x^2 + 7384392*x + 6817674434256)*(x^3 -4575444*x^2 -20542408160976*x + 79727349784856703552);
T[21,89]=(x -9081574)*(x^2 + 60864*x -6900412319488)*(x^3 + 11158974*x^2 + 35698978730112*x + 26947296876861940320)*(x^2 -1784448*x -61835691772164);
T[21,97]=(x -6487914)*(x^2 -16266412*x + 62174212264276)*(x^2 + 26046852*x + 164115180472068)*(x^3 + 2153394*x^2 -82427376092484*x + 70059288232659996088);

T[22,2]=(x + 8)^2*(x -8)^3;
T[22,3]=(x -91)*(x + 21)*(x + 19)*(x^2 + 23*x -3588);
T[22,5]=(x + 551)*(x -185)*(x -317)*(x^2 -331*x + 23670);
T[22,7]=(x + 722)*(x -62)*(x + 1030)*(x^2 -1794*x + 75440);
T[22,11]=(x + 1331)^2*(x -1331)^3;
T[22,13]=(x + 14676)*(x -1500)*(x -11020)*(x^2 + 5406*x -44494552);
T[22,17]=(x + 17210)*(x + 30058)*(x + 29930)*(x^2 -15032*x -150712788);
T[22,19]=(x -38056)*(x -29512)*(x + 9288)*(x^2 -16916*x -799953120);
T[22,23]=(x + 12911)*(x -22971)*(x -31499)*(x^2 + 51351*x -536788152);
T[22,29]=(x -134272)*(x + 90480)*(x + 75168)*(x^2 + 207130*x + 8743188000);
T[22,31]=(x + 139023)*(x + 287765)*(x + 235845)*(x^2 + 19071*x -6148026496);
T[22,37]=(x + 316397)*(x -75507)*(x -251511)*(x^2 -351333*x -11768742334);
T[22,41]=(x + 318192)*(x + 270288)*(x + 335968)*(x^2 -123610*x -234633419904);
T[22,43]=(x -672430)*(x + 1028030)*(x + 858110)*(x^2 + 159822*x -591953661640);
T[22,47]=(x + 519096)*(x -587680)*(x + 771840)*(x^2 -451160*x -72885726336);
T[22,53]=(x + 244238)*(x -765778)*(x -773570)*(x^2 + 1260832*x + 75106099260);
T[22,59]=(x + 163287)*(x + 392007)*(x -2194167)*(x^2 -887547*x -564563979540);
T[22,61]=(x -3163180)*(x -2297260)*(x -1248460)*(x^2 + 597918*x -456927065080);
T[22,67]=(x + 1293557)*(x -3498133)*(x + 3428283)*(x^2 -2864711*x -2490832261212);
T[22,71]=(x -1101753)*(x -1542953)*(x + 1207245)*(x^2 -1306267*x -5755066505400);
T[22,73]=(x + 1122996)*(x + 4724772)*(x -2216316)*(x^2 + 4577530*x + 2038977114936);
T[22,79]=(x -1526014)*(x + 4362946)*(x + 2638102)*(x^2 + 2946342*x -9189351784480);
T[22,83]=(x + 4437790)*(x -1650370)*(x + 4830962)*(x^2 -9965450*x + 22547926115976);
T[22,89]=(x + 2448233)*(x + 521233)*(x -5760847)*(x^2 -10185377*x + 8815411816710);
T[22,97]=(x + 5750759)*(x + 2129831)*(x -3948601)*(x^2 + 27765477*x + 192724568772626);

T[24,2]=(x )^3;
T[24,3]=(x + 27)*(x -27)^2;
T[24,5]=(x + 530)*(x -110)*(x + 26);
T[24,7]=(x -504)*(x -1056)*(x -120);
T[24,11]=(x -3812)*(x -6412)*(x + 7196);
T[24,13]=(x -9574)*(x -5206)*(x + 9626);
T[24,17]=(x -18674)*(x + 6238)*(x -26098);
T[24,19]=(x -41492)*(x + 38308)*(x -7004);
T[24,23]=(x + 29432)*(x + 63704)*(x + 71128);
T[24,29]=(x + 210498)*(x -29334)*(x -74262);
T[24,31]=(x -87968)*(x -185240)*(x + 275680);
T[24,37]=(x -507630)*(x -227982)*(x + 266610);
T[24,41]=(x + 160806)*(x -684762)*(x -360042);
T[24,43]=(x -620044)*(x -136132)*(x -245956);
T[24,47]=(x + 1206960)*(x + 847680)*(x -478800);
T[24,53]=(x + 569410)*(x -1423750)*(x + 398786);
T[24,59]=(x -1152436)*(x + 1525324)*(x + 2548724);
T[24,61]=(x + 2640458)*(x + 2070602)*(x + 706058);
T[24,67]=(x + 2418796)*(x -1416236)*(x + 4073428);
T[24,71]=(x + 3511304)*(x -265976)*(x + 383752);
T[24,73]=(x -3006010)*(x -4738618)*(x + 5791238);
T[24,79]=(x -4661488)*(x -2955688)*(x + 4948112);
T[24,83]=(x + 9163492)*(x + 5729252)*(x -3462932);
T[24,89]=(x -11993514)*(x + 2211126)*(x -7304106);
T[24,97]=(x -7150754)*(x + 690526)*(x + 15594814);

T[25,2]=(x -14)*(x^2 + 15*x -106)*(x^2 -15*x -106)*(x^2 + 20*x + 24)*(x^2 -116);
T[25,3]=(x -48)*(x^2 + 40*x -249)*(x^2 -40*x -249)*(x^2 -1044)*(x^2 + 20*x -4764);
T[25,5]=(x )^9;
T[25,7]=(x -1644)*(x^2 -600*x -1054836)*(x^2 -100*x -235836)*(x^2 + 600*x -1054836)*(x^2 -176436);
T[25,11]=(x -172)*(x^2 -4544*x -6998016)*(x + 6828)^2*(x^2 -4344*x -5423041)^2;
T[25,13]=(x + 3862)*(x^2 + 17680*x + 51136816)*(x^2 -102934224)*(x^2 + 3540*x -24961564)*(x^2 -17680*x + 51136816);
T[25,17]=(x -12254)*(x^2 + 6870*x -68614471)*(x^2 -6870*x -68614471)*(x^2 -27340*x + 80327844)*(x^2 -245912576);
T[25,19]=(x + 25940)*(x^2 -38760*x + 367802000)*(x + 6860)^2*(x^2 -18200*x -117098225)^2;
T[25,23]=(x + 12972)*(x^2 -21120*x -7241627844)*(x^2 -853802804)*(x^2 + 21120*x -7241627844)*(x^2 -124140*x + 3840033636);
T[25,29]=(x + 81610)*(x^2 + 72260*x -27652933500)*(x + 25590)^2*(x^2 -55800*x -27320953600)^2;
T[25,31]=(x + 156888)*(x^2 -306824*x + 22939401744)*(x -82112)^2*(x^2 + 301776*x + 19481626044)^2;
T[25,37]=(x + 110126)*(x^2 -609860*x + 72425629684)*(x^2 -123020*x -45775154396)*(x^2 -49964507856)*(x^2 + 609860*x + 72425629684);
T[25,41]=(x -467882)*(x^2 -264364*x -227722158876)*(x + 533118)^2*(x^2 + 108486*x + 2293303049)^2;
T[25,43]=(x -499208)*(x^2 -502589410164)*(x^2 + 423300*x -96985991164)*(x^2 -966400*x + 168009863536)*(x^2 + 966400*x + 168009863536);
T[25,47]=(x -396884)*(x^2 -105460*x -154530884316)*(x^2 -1787880*x + 768835854224)*(x^2 + 1787880*x + 768835854224)*(x^2 -33950996);
T[25,53]=(x -1280498)*(x^2 -2391580*x + 1213130224836)*(x^2 + 130740*x -310528480924)*(x^2 -347361684944)*(x^2 -130740*x -310528480924);
T[25,59]=(x + 1337420)*(x^2 + 1120120*x -3614968086000)*(x + 1438980)^2*(x^2 -2067600*x -174052062400)^2;
T[25,61]=(x + 923978)*(x^2 -2257044*x -672038095516)*(x -1381022)^2*(x^2 -582044*x -8129212445516)^2;
T[25,67]=(x -797304)*(x^2 + 4516460*x + 4620664454244)*(x^2 -7370498568276)*(x^2 -255720*x -858879415521)*(x^2 + 255720*x -858879415521);
T[25,71]=(x -5103392)*(x^2 -621784*x -275746164336)*(x + 481608)^2*(x^2 + 4728216*x + 5183381635664)^2;
T[25,73]=(x -4267478)*(x^2 -2208719824704)*(x^2 -1339430*x -708123554519)*(x^2 + 4569060*x + 1330152816836)*(x^2 + 1339430*x -708123554519);
T[25,79]=(x + 960)*(x^2 -4333040*x -12272229720000)*(x -1059760)^2*(x^2 + 7186200*x + 11646468081900)^2;
T[25,83]=(x + 6140832)*(x^2 -12049560*x + 35517015006471)*(x^2 + 12049560*x + 35517015006471)*(x^2 -9793020*x + 5699002341636)*(x^2 -6779787857684);
T[25,89]=(x -2010570)*(x^2 -6025620*x + 1403196358500)*(x + 5644170)^2*(x^2 + 5990850*x -22736713427775)^2;
T[25,97]=(x -4881934)*(x^2 + 4609540*x -18666217374716)*(x^2 -144218238909696)*(x^2 -17120020*x + 70829616805924)*(x^2 + 17120020*x + 70829616805924);

T[26,2]=(x + 8)^3*(x -8)^4;
T[26,3]=(x + 27)*(x + 87)*(x + 39)*(x^2 -87*x + 1316)*(x^2 + 12*x -5109);
T[26,5]=(x + 245)*(x -321)*(x -385)*(x^2 + 146*x -130751)*(x^2 -215*x -2850);
T[26,7]=(x + 293)*(x + 587)*(x + 181)*(x^2 + 1780*x + 715555)*(x^2 -705*x -1259320);
T[26,11]=(x + 3874)*(x + 5402)*(x -7782)*(x^2 -10904*x + 28873804)*(x^2 -614*x -20708376);
T[26,13]=(x + 2197)^3*(x -2197)^4;
T[26,17]=(x -9069)*(x -5229)*(x + 21011)*(x^2 + 14118*x -507554199)*(x^2 -6623*x -760430454);
T[26,19]=(x + 27326)*(x + 37150)*(x + 6522)*(x^2 -5538*x -1732978744)*(x^2 -54408*x + 538353036);
T[26,23]=(x + 500)*(x -19008)*(x + 63072)*(x^2 + 40536*x -2101510656)*(x^2 + 156464*x + 4786525744);
T[26,29]=(x -122238)*(x -226954)*(x -174750)*(x^2 + 296268*x + 16922064276)*(x^2 + 145868*x -16891064924);
T[26,31]=(x -130156)*(x + 208396)*(x -29012)*(x^2 -45800*x -303500720)*(x^2 + 269900*x + 5395324480);
T[26,37]=(x -323669)*(x + 377769)*(x + 442379)*(x^2 + 356733*x + 28476018086)*(x^2 -348558*x + 8162736561);
T[26,41]=(x -58000)*(x -795312)*(x + 539760)*(x^2 -209690*x -118698353280)*(x^2 + 156240*x -4113607680);
T[26,43]=(x + 202025)*(x -13987)*(x + 314137)*(x^2 -856353*x + 165309064916)*(x^2 -737252*x -7014189629);
T[26,47]=(x + 447441)*(x -588511)*(x + 526879)*(x^2 -1779581*x + 782957876064)*(x^2 + 615196*x -109005494141);
T[26,53]=(x + 1469232)*(x -1684336)*(x + 1649940)*(x^2 + 1536024*x -18298543536)*(x^2 -1616894*x + 468578767104);
T[26,59]=(x + 442630)*(x -1627770)*(x + 81194)*(x^2 + 1762472*x -3539035961684)*(x^2 + 1926542*x + 278179468536);
T[26,61]=(x + 1126952)*(x + 1083608)*(x + 2399608)*(x^2 + 4460272*x + 4106598596416)*(x^2 + 606882*x -3515051438224);
T[26,67]=(x + 64066)*(x -478798)*(x -3443486)*(x^2 + 3098090*x -3661539701480)*(x^2 -1926680*x + 927005771020);
T[26,71]=(x + 322383)*(x -2084705)*(x -940007)*(x^2 + 220205*x -1041256691400)*(x^2 -2505140*x -14263049562725);
T[26,73]=(x -1671926)*(x + 4454782)*(x -5937890)*(x^2 -8592556*x + 16222847075284)*(x^2 -3725404*x -1610493427196);
T[26,79]=(x -753560)*(x + 6609256)*(x + 5801188)*(x^2 -3911392*x + 791817441136)*(x^2 + 1544888*x -16883581410944);
T[26,83]=(x + 1219092)*(x + 142740)*(x -7398816)*(x^2 -8883360*x + 15381431470080)*(x^2 + 3576720*x -33249718167120);
T[26,89]=(x -3390330)*(x + 6985286)*(x + 953754)*(x^2 + 16720548*x + 69622103547396)*(x^2 + 3340108*x -18959522390364);
T[26,97]=(x + 200762)*(x + 10318690)*(x -1628774)*(x^2 -11317132*x -53125913495324)*(x^2 -23438808*x + 107301346958636);

T[27,2]=(x^2 -108)*(x^2 -9*x -126)*(x^2 + 9*x -126)*(x^2 -378)*(x );
T[27,3]=(x )^9;
T[27,5]=(x^2 -180*x + 7515)*(x^2 -124848)*(x^2 + 180*x + 7515)*(x^2 -151200)*(x );
T[27,7]=(x -1763)*(x + 559)^2*(x + 1261)^2*(x^2 -700*x -1062125)^2;
T[27,11]=(x^2 -10890*x + 29414025)*(x^2 -22260528)*(x^2 -2183328)*(x^2 + 10890*x + 29414025)*(x );
T[27,13]=(x -12605)*(x -9581)^2*(x + 8671)^2*(x^2 + 5480*x -68308400)^2;
T[27,17]=(x^2 -16416*x -741669696)*(x^2 -450751392)*(x^2 -631446192)*(x^2 + 16416*x -741669696)*(x );
T[27,19]=(x -14357)*(x + 32461)^2*(x + 21931)^2*(x^2 -16024*x -142216916)^2;
T[27,23]=(x^2 -6791569200)*(x^2 -7384759200)*(x^2 + 24372*x -3904044444)*(x^2 -24372*x -3904044444)*(x );
T[27,29]=(x^2 -1046642688)*(x^2 -24899816448)*(x^2 -143280*x + 5122403100)*(x^2 + 143280*x + 5122403100)*(x );
T[27,31]=(x -178916)*(x + 50908)^2*(x -229892)^2*(x^2 + 38708*x -28528424669)^2;
T[27,37]=(x + 615373)*(x + 541177)^2*(x -246467)^2*(x^2 -455620*x -16337003900)^2;
T[27,41]=(x^2 -124965531648)*(x^2 + 731880*x + 83424185100)*(x^2 -731880*x + 83424185100)*(x^2 -373262819328)*(x );
T[27,43]=(x -1035224)*(x + 465112)^2*(x -315512)^2*(x^2 + 1088840*x + 207456229900)^2;
T[27,47]=(x^2 -180763162272)*(x^2 -689852817072)*(x^2 -1561500*x + 410995953540)*(x^2 + 1561500*x + 410995953540)*(x );
T[27,53]=(x^2 -2610468*x + 1583691044571)*(x^2 -16227050112)*(x^2 -1053126090432)*(x^2 + 2610468*x + 1583691044571)*(x );
T[27,59]=(x^2 + 1731960*x -647792463600)*(x^2 -929490563232)*(x^2 -616638511152)*(x^2 -1731960*x -647792463600)*(x );
T[27,61]=(x -1537199)*(x + 497953)^2*(x + 137773)^2*(x^2 + 620192*x + 17550467776)^2;
T[27,67]=(x + 4058455)*(x -1336361)^2*(x + 314041)^2*(x^2 -346600*x + 15698927500)^2;
T[27,71]=(x^2 -4242240*x -3541802241600)*(x^2 + 4242240*x -3541802241600)*(x^2 -813538276992)*(x^2 -7894909985472)*(x );
T[27,73]=(x -1236809)*(x -2669537)^2*(x -3250793)^2*(x^2 + 3145190*x -3239699519975)^2;
T[27,79]=(x + 4245427)*(x -6075485)^2*(x -1101815)^2*(x^2 -10110616*x + 19219527915904)^2;
T[27,83]=(x^2 -644202*x -1694562670359)*(x^2 -36954740369088)*(x^2 -67104081410688)*(x^2 + 644202*x -1694562670359)*(x );
T[27,89]=(x^2 + 6021000*x + 6381093451500)*(x^2 -10800152593200)*(x^2 -6021000*x + 6381093451500)*(x^2 -170059231792800)*(x );
T[27,97]=(x -5276357)*(x + 2979379)^2*(x -6570629)^2*(x^2 -4098670*x -155863647601775)^2;

T[28,2]=(x )^4;
T[28,3]=(x^2 -14*x -960)*(x^2 + 14*x -3480);
T[28,5]=(x^2 -42*x -31320)*(x^2 + 294*x -100480);
T[28,7]=(x + 343)^2*(x -343)^2;
T[28,11]=(x^2 + 3492*x -30373600)*(x^2 -7428*x + 7568640);
T[28,13]=(x^2 + 16170*x + 24602616)*(x^2 -11830*x + 34701376);
T[28,17]=(x^2 -15792*x -294519780)*(x^2 + 29232*x + 66390140);
T[28,19]=(x^2 -26614*x + 174503608)*(x^2 + 3206*x -1457664272);
T[28,23]=(x^2 -32640*x -7801459776)*(x^2 + 9360*x -892558336);
T[28,29]=(x^2 -184704*x + 5339156348)*(x^2 + 158016*x + 5489020188);
T[28,31]=(x^2 -165060*x -6660680544)*(x^2 + 180740*x -16540907264);
T[28,37]=(x^2 + 45824*x -207949289540)*(x^2 -286144*x -45829003940);
T[28,41]=(x^2 + 116760*x -89232832116)*(x^2 + 321720*x -208069107156);
T[28,43]=(x^2 -1023868*x + 127557024352)*(x^2 + 294428*x -9812264768);
T[28,47]=(x^2 -1665972*x + 662231593152)*(x^2 + 1014132*x + 216379252512);
T[28,53]=(x^2 + 1396452*x + 225066151620)*(x^2 + 410628*x -15217199100);
T[28,59]=(x^2 + 2729286*x + 1833034760000)*(x^2 -1702134*x -951114840120);
T[28,61]=(x^2 + 547526*x -676162372040)*(x^2 -2466954*x -113258778480);
T[28,67]=(x^2 + 2590616*x -7466582740400)*(x^2 -225176*x -8822599928240);
T[28,71]=(x^2 -4129272*x + 4028431841280)*(x^2 -1530312*x -5444851901440);
T[28,73]=(x^2 -1143548*x -19396396395020)*(x^2 + 8008868*x + 15928428632500);
T[28,79]=(x^2 -2470456*x -52062570791552)*(x^2 -7951176*x + 11938206077568);
T[28,83]=(x^2 + 9900786*x + 14563855983960)*(x^2 + 18487854*x + 84534867832880);
T[28,89]=(x^2 -15423492*x + 54854655982020)*(x^2 + 4652508*x -12060844881660);
T[28,97]=(x^2 + 26702368*x + 174783333299356)*(x^2 + 17377472*x + 2955690377596);

T[30,2]=(x + 8)^3*(x -8)^3;
T[30,3]=(x -27)^2*(x + 27)^4;
T[30,5]=(x -125)^3*(x + 125)^3;
T[30,7]=(x + 988)*(x -512)*(x + 232)*(x + 1084)*(x -416)*(x -1604);
T[30,11]=(x -5460)*(x + 60)*(x -6552)*(x + 8040)*(x + 3948)*(x + 2208);
T[30,13]=(x -14054)*(x -2522)*(x + 3334)*(x + 7978)*(x -5738)*(x -10166);
T[30,17]=(x + 9918)*(x -6582)*(x -13938)*(x -30486)*(x -15654)*(x + 34014);
T[30,19]=(x -53564)*(x + 27436)*(x -3020)*(x -12020)*(x + 12436)*(x + 19660);
T[30,23]=(x -48600)*(x + 66528)*(x + 27000)*(x + 3528)*(x -33600)*(x + 28512);
T[30,29]=(x + 132414)*(x + 18570)*(x + 140190)*(x + 187914)*(x + 88554)*(x -84930);
T[30,31]=(x + 94168)*(x + 42592)*(x + 291208)*(x -208832)*(x -254408)*(x + 120352);
T[30,37]=(x + 135046)*(x + 544066)*(x + 509974)*(x + 301474)*(x -519434)*(x -469646);
T[30,41]=(x -841002)*(x + 460998)*(x -374394)*(x + 510246)*(x -92394)*(x + 804438);
T[30,43]=(x + 540532)*(x + 234532)*(x -343052)*(x -721268)*(x -889052)*(x -145412);
T[30,47]=(x + 852264)*(x + 1277640)*(x -304560)*(x -1338360)*(x + 802656)*(x + 1356264);
T[30,53]=(x -94398)*(x + 835278)*(x -1308222)*(x -617982)*(x -1594482)*(x -274098);
T[30,59]=(x + 1885740)*(x -752040)*(x + 3068760)*(x -1969440)*(x -262740)*(x -939540);
T[30,61]=(x -3179342)*(x + 204298)*(x + 1009330)*(x + 271690)*(x -1538702)*(x + 976330);
T[30,67]=(x -1074668)*(x -3082172)*(x + 758524)*(x -3559172)*(x + 947524)*(x + 1363756);
T[30,71]=(x + 3824928)*(x + 2505480)*(x -912072)*(x + 2673720)*(x + 4389888)*(x + 3666720);
T[30,73]=(x -3043322)*(x + 3032134)*(x + 4278862)*(x + 913678)*(x + 2954566)*(x -1122866);
T[30,79]=(x -6010880)*(x + 4128808)*(x + 7354768)*(x -1621880)*(x -3851960)*(x + 5475808);
T[30,83]=(x -9723012)*(x -8532228)*(x -1470012)*(x -2231556)*(x -4586556)*(x + 3846756);
T[30,89]=(x -7160010)*(x -3733410)*(x -2375010)*(x + 10050678)*(x + 5763678)*(x -5685162);
T[30,97]=(x -6747554)*(x + 16785214)*(x + 15686206)*(x -5727554)*(x -7981346)*(x -14138786);

T[32,2]=(x )^7;
T[32,3]=(x^2 -3840)*(x^2 -16*x -2496)*(x^2 + 16*x -2496)*(x );
T[32,5]=(x + 58)*(x -70)^2*(x^2 + 180*x -155740)^2;
T[32,7]=(x^2 -1248*x -112384)*(x^2 -1244160)*(x^2 + 1248*x -112384)*(x );
T[32,11]=(x^2 + 9040*x + 6030400)*(x^2 -52565760)*(x^2 -9040*x + 6030400)*(x );
T[32,13]=(x + 8898)*(x -13758)^2*(x^2 + 2500*x -35301500)^2;
T[32,17]=(x + 40094)*(x -16994)^2*(x^2 -17220*x -73323900)^2;
T[32,19]=(x^2 -1157379840)*(x^2 + 74160*x + 1313422400)*(x^2 -74160*x + 1313422400)*(x );
T[32,23]=(x^2 -1046338560)*(x^2 + 19104*x -4248481536)*(x^2 -19104*x -4248481536)*(x );
T[32,29]=(x -233230)*(x -34190)^2*(x^2 + 245028*x + 2619280196)^2;
T[32,31]=(x^2 + 251520*x + 3425177600)*(x^2 -251520*x + 3425177600)*(x^2 -14511882240)*(x );
T[32,37]=(x -563974)*(x -35206)^2*(x^2 + 530740*x + 57113332900)^2;
T[32,41]=(x -9530)*(x + 484550)^2*(x^2 -726900*x + 124732277540)^2;
T[32,43]=(x^2 -44496*x -95043921856)*(x^2 -451637856000)*(x^2 + 44496*x -95043921856)*(x );
T[32,47]=(x^2 -494912*x -38062767104)*(x^2 -1456567971840)*(x^2 + 494912*x -38062767104)*(x );
T[32,53]=(x + 798602)*(x -851702)^2*(x^2 -1319340*x -412809891100)^2;
T[32,59]=(x^2 + 2618000*x -285681944000)*(x^2 -483669999360)*(x^2 -2618000*x -285681944000)*(x );
T[32,61]=(x + 3505330)*(x -71630)^2*(x^2 -836700*x -775792836540)^2;
T[32,67]=(x^2 -2374128*x + 1403322476096)*(x^2 -94432055040)*(x^2 + 2374128*x + 1403322476096)*(x );
T[32,71]=(x^2 -2836000*x + 759262624000)*(x^2 + 2836000*x + 759262624000)*(x^2 -573608770560)*(x );
T[32,73]=(x -3917418)*(x -3912042)^2*(x^2 + 171180*x -16148101167900)^2;
T[32,79]=(x^2 -98940579840)*(x^2 -2498880*x + 1551858713600)*(x^2 + 2498880*x + 1551858713600)*(x );
T[32,83]=(x^2 -2360801376000)*(x^2 -9531984*x + 10945727913024)*(x^2 + 9531984*x + 10945727913024)*(x );
T[32,89]=(x -9246170)*(x + 2510630)^2*(x^2 -7318068*x -14087847786844)^2;
T[32,97]=(x + 17567406)*(x + 50094)^2*(x^2 + 9316060*x -20193384103100)^2;

T[33,2]=(x -10)*(x^2 -x -218)*(x^3 -9*x^2 -144*x -280)*(x^4 -15*x^3 -426*x^2 + 5416*x + 14736)*(x^2 + 19*x + 46);
T[33,3]=(x + 27)^5*(x -27)^7;
T[33,5]=(x + 410)*(x^2 + 194*x -33368)*(x^3 + 444*x^2 -33180*x -980800)*(x^4 -306*x^3 -145860*x^2 + 41897800*x + 1251456000)*(x^2 + 34*x -63608);
T[33,7]=(x + 1028)*(x^2 + 418*x -341312)*(x^3 -1614*x^2 -2163396*x + 3449053112)*(x^4 -890*x^3 -865524*x^2 + 685761128*x + 69611139776)*(x^2 + 166*x -1042544);
T[33,11]=(x -1331)^6*(x + 1331)^6;
T[33,13]=(x -12958)*(x^2 + 13246*x + 43548976)*(x^3 -20772*x^2 + 44436708*x + 665759180384)*(x^4 + 1822*x^3 -107560020*x^2 + 400331747816*x -161846909982208)*(x^2 + 12670*x + 6020608);
T[33,17]=(x -17062)*(x^2 + 10256*x + 19225084)*(x^3 + 14538*x^2 -818259552*x -11730861043168)*(x^4 -32856*x^3 -23660052*x^2 + 4865986045216*x + 16067809802621376)*(x^2 + 62344*x + 927796876);
T[33,19]=(x + 54168)*(x^2 -14196*x -1177576704)*(x^3 -24492*x^2 -1204747452*x -5608943166816)*(x^4 + 12784*x^3 -1606627884*x^2 + 13513977630000*x + 43343851194000000)*(x^2 + 37980*x + 328498848);
T[33,23]=(x + 11488)*(x^2 + 13666*x -870505736)*(x^3 -35094*x^2 -7952126688*x + 200462606267008)*(x^4 -114858*x^3 -4013590032*x^2 + 575158447385600*x -4903263376549527552)*(x^2 + 90686*x + 282938824);
T[33,29]=(x + 186654)*(x^2 -15312*x -4487554116)*(x^3 + 179862*x^2 -11437687680*x + 61407931779072)*(x^4 + 104952*x^3 -16791650964*x^2 -1254405448966464*x + 66190358153413958400)*(x^2 -13992*x -38836484052);
T[33,31]=(x + 188672)*(x^2 + 48040*x + 569571328)*(x^2 -245000*x + 1286906368)*(x^4 + 24976*x^3 -66361664448*x^2 + 677650700638208*x + 596061149141131722752)*(x^3 -288888*x^2 -5454223872*x + 1912407630749696);
T[33,37]=(x -395886)*(x^2 -274092*x -18695152476)*(x^3 -107562*x^2 -11195717604*x + 1189844764073064)*(x^4 + 498856*x^3 + 2249707560*x^2 -9552703697159328*x + 37650528935713153872)*(x^2 -327852*x -6524218716);
T[33,41]=(x + 47546)*(x^2 -755836*x -49849727804)*(x^3 + 135198*x^2 -8930828160*x -1276226223818752)*(x^4 -734556*x^3 -196473342828*x^2 + 255101111276933824*x -49145490407336028881664)*(x^2 + 275932*x -322827909452);
T[33,43]=(x -602088)*(x^2 + 1704096*x + 714621373632)*(x^2 + 244104*x -207765596544)*(x^4 + 201916*x^3 -750237599340*x^2 -333752463260764416*x -18950215213957699425600)*(x^3 -193536*x^2 -181930168716*x -20672203928496912);
T[33,47]=(x + 647200)*(x^2 -536926*x -176077767704)*(x^2 + 1182094*x -47516184584)*(x^4 -1995894*x^3 + 515393951520*x^2 + 677068295056728704*x -253896068610010195378176)*(x^3 + 591486*x^2 -611447094144*x + 94663336510842880);
T[33,53]=(x + 1312722)*(x^2 + 1821882*x + 397572445128)*(x^2 + 2156394*x + 1006243830216)*(x^4 -929970*x^3 -4002003211716*x^2 + 3687821737137975528*x -804967176398076162622656)*(x^3 -79044*x^2 -994803190908*x + 294486119227069344);
T[33,59]=(x + 2681140)*(x^2 -927332*x -1058263475744)*(x^3 -2532768*x^2 -877661239344*x + 3844870229226736000)*(x^4 -1353156*x^3 -9313188846576*x^2 + 9464513206675985216*x + 12780262609967146886423040)*(x^2 -2502028*x -24663435104);
T[33,61]=(x -551190)*(x^2 + 1061994*x -6224547468744)*(x^3 -6678792*x^2 + 12546376324788*x -4529577947471620560)*(x^4 -3998774*x^3 + 3631506281556*x^2 + 892807921807965720*x -1352091678741407087559648)*(x^2 + 2191098*x -604169699352);
T[33,67]=(x -459260)*(x^2 + 3259952*x + 2655573007408)*(x^2 -1674784*x -8829893772944)*(x^4 -1722008*x^3 -1598346829632*x^2 -297745381766908544*x -15097516695340836797696)*(x^3 -7150356*x^2 + 16871120222256*x -13157169586500939200);
T[33,71]=(x + 18072)*(x^2 + 5495514*x + 7547380719912)*(x^3 -1390398*x^2 -20891916532608*x + 13710207212579395584)*(x^4 -5571858*x^3 + 428757625584*x^2 + 38744354437683831936*x -50700766303905834613754880)*(x^2 + 368310*x -24503996328);
T[33,73]=(x + 426062)*(x^2 + 5450812*x + 4341768952708)*(x^3 + 6429114*x^2 + 11138115578460*x + 2627289632174804696)*(x^4 -5600528*x^3 -3592938391656*x^2 + 778267153014592064*x + 458603037690886743642512)*(x^2 + 3336604*x -5666837293628);
T[33,79]=(x -297764)*(x^2 + 1536590*x + 177407563168)*(x^3 -6873186*x^2 -6105162734484*x -1156168887952201112)*(x^4 + 7710226*x^3 + 15365889919788*x^2 -135860409256235432*x -8863254922791986255690240)*(x^2 + 1682618*x -21513626700752);
T[33,83]=(x -5684028)*(x^2 -8850888*x + 5354532740304)*(x^3 -6505596*x^2 -10235053662336*x + 81936383266096432128)*(x^4 -3431856*x^3 -64786574103120*x^2 + 189944581820061777408*x + 11232074892435416437174272)*(x^2 + 8376504*x + 8122054073616);
T[33,89]=(x + 6342966)*(x^2 -6810132*x + 10431675116388)*(x^3 + 8842962*x^2 -1344010660692*x -26294899478004065448)*(x^4 -4611528*x^3 -26649980481960*x^2 + 143448626454713314272*x -115665373518056983939883760)*(x^2 -9027204*x -15754651515708);
T[33,97]=(x -16651586)*(x^2 -9897376*x -26135282253956)*(x^2 + 16703552*x + 69751828200124)*(x^4 -1401692*x^3 -153686368066368*x^2 -826948266905717998736*x -1167447505500746420363441936)*(x^3 + 1764774*x^2 -6645491951988*x + 248997277649499784);

T[34,2]=(x + 8)^4*(x -8)^4;
T[34,3]=(x + 68)*(x + 42)*(x -84)*(x^2 -16*x -2244)*(x^3 -12*x^2 -3952*x + 33312);
T[34,5]=(x + 450)*(x -72)*(x -270)*(x^2 -296*x -61184)*(x^3 -346*x^2 -78260*x + 1499400);
T[34,7]=(x + 1408)*(x + 580)*(x -680)*(x^2 + 1136*x -129744)*(x^3 -1200*x^2 -630400*x + 624877536);
T[34,11]=(x + 3756)*(x + 3906)*(x + 3684)*(x^2 -2624*x -5260356)*(x^3 -8356*x^2 + 3855312*x + 56932893792);
T[34,13]=(x + 3994)*(x + 14086)*(x + 6874)*(x^2 -10756*x + 24454596)*(x^3 -15762*x^2 + 13153388*x + 443171393832);
T[34,17]=(x + 4913)^3*(x -4913)^5;
T[34,19]=(x -7172)*(x -9644)*(x + 6628)*(x^2 -92504*x + 2083080016)*(x^3 -2404*x^2 -219549904*x -254226284480);
T[34,23]=(x + 70056)*(x + 39600)*(x -45696)*(x^2 -58032*x -477176832)*(x^3 + 1344*x^2 -5939523648*x + 173553382398816);
T[34,29]=(x + 74250)*(x + 185850)*(x + 58680)*(x^2 -28968*x -18014412544)*(x^3 -37938*x^2 -46100907604*x -2340720437774040);
T[34,31]=(x + 291280)*(x + 18340)*(x -37976)*(x^2 + 274384*x + 15169087152)*(x^3 + 286472*x^2 + 15140394304*x -335368834366944);
T[34,37]=(x -210596)*(x -175262)*(x -511214)*(x^2 + 410160*x + 38984205872)*(x^3 + 327046*x^2 -117387094708*x -12583830480329848);
T[34,41]=(x -339270)*(x + 667974)*(x + 73830)*(x^2 -579164*x -65780762108)*(x^3 + 761234*x^2 + 123264892780*x -8087571184911144);
T[34,43]=(x + 534268)*(x -141248)*(x -379124)*(x^2 -212600*x -245976218112)*(x^3 + 1075172*x^2 + 50257312048*x -15247716327004224);
T[34,47]=(x -735456)*(x -523440)*(x + 967536)*(x^2 -464384*x -1026100297728)*(x^3 + 199760*x^2 -614028973824*x -158917417306195968);
T[34,53]=(x + 103362)*(x -775902)*(x + 1608798)*(x^2 -1932308*x + 896746787364)*(x^3 -882970*x^2 -1976489139060*x + 956819213511955848);
T[34,59]=(x + 1465320)*(x + 2180700)*(x + 2133900)*(x^2 -651576*x -406949273856)*(x^3 -1364076*x^2 -2939102304336*x + 1363140510964827840);
T[34,61]=(x + 149098)*(x -2096006)*(x -411812)*(x^2 + 2369936*x -754427973968)*(x^3 -5059506*x^2 + 7694221908780*x -3242802178381261784);
T[34,67]=(x + 625204)*(x + 1232464)*(x -4655564)*(x^2 + 2232984*x -9881781141888)*(x^3 -917348*x^2 -12536596652112*x -11539360571922111168);
T[34,71]=(x + 5571000)*(x + 935280)*(x -1750560)*(x^2 -2962992*x + 1903035644928)*(x^3 -1521984*x^2 -8225378814528*x + 2192793486089994144);
T[34,73]=(x + 1844638)*(x + 6633574)*(x + 1991302)*(x^2 + 7004844*x + 11295508227236)*(x^3 -4677902*x^2 -4253493385492*x + 193050272219920472);
T[34,79]=(x -566072)*(x -8241632)*(x + 8487928)*(x^2 + 240784*x -3121972743104)*(x^3 + 6817544*x^2 + 13293662212736*x + 6359040332789885920);
T[34,83]=(x -3897192)*(x + 216612)*(x -7656300)*(x^2 + 2575352*x -35318306533632)*(x^3 + 5475580*x^2 -18379879440336*x -34378541403471405504);
T[34,89]=(x -6106026)*(x -2468586)*(x -4278186)*(x^2 -916724*x -79809279796956)*(x^3 + 1842626*x^2 -51046920702036*x -24906883880659496040);
T[34,97]=(x -6221858)*(x -4004462)*(x -4421858)*(x^2 + 22774340*x + 127779788928900)*(x^3 -8331174*x^2 -286033201405300*x + 2241162353087081806200);

T[35,2]=(x^2 -16*x + 20)*(x^4 + 2*x^3 -394*x^2 -1124*x + 4480)*(x^5 -11*x^4 -536*x^3 + 5950*x^2 + 29124*x -233280)*(x^3 + 23*x^2 -44*x -2356);
T[35,3]=(x^2 + 30*x -1359)*(x^4 + 37*x^3 -4885*x^2 -79593*x -52776)*(x^5 -65*x^4 -3349*x^3 + 232253*x^2 -1750080*x -1824912)*(x^3 + 50*x^2 -3255*x + 5688);
T[35,5]=(x + 125)^7*(x -125)^7;
T[35,7]=(x + 343)^6*(x -343)^8;
T[35,11]=(x^2 + 7906*x + 9272609)*(x^4 + 7225*x^3 -43348561*x^2 -373127377933*x -463444930606556)*(x^5 -10027*x^4 -4568221*x^3 + 220059279879*x^2 -198785064920400*x -854531923196472048)*(x^3 -2858*x^2 -10340167*x + 29580723108);
T[35,13]=(x^2 + 17818*x + 71682425)*(x^4 -7957*x^3 -172228327*x^2 + 805420466089*x + 7426179704621650)*(x^5 -16141*x^4 -46945333*x^3 + 1269006905957*x^2 -2069365185725888*x -5280750358541728140)*(x^3 + 15852*x^2 + 38152453*x -34923826434);
T[35,17]=(x^2 + 2398*x -213462799)*(x^3 -1464*x^2 -1126454667*x + 7982186169358)*(x^4 -64727*x^3 + 500418389*x^2 + 31938213191699*x -464984801020455962)*(x^5 -17427*x^4 -1105243389*x^3 + 10573762975835*x^2 + 276482791748442264*x -1615149364818032522532);
T[35,19]=(x^2 + 3612*x -1348143980)*(x^4 + 37866*x^3 -1482242740*x^2 -37045673934216*x + 739426243185331840)*(x^5 -44394*x^4 -1703081460*x^3 + 64997867042984*x^2 + 399922546289250560*x -14485103288680362055040)*(x^3 + 90364*x^2 + 2308301652*x + 17372875013920);
T[35,23]=(x^2 -13844*x -4980234316)*(x^4 -111470*x^3 -1266344596*x^2 + 478558954552472*x -13095814482196370816)*(x^5 -55698*x^4 -8212126836*x^3 + 177555656493416*x^2 + 6799536595814611200*x -141087145456194069514752)*(x^3 -63372*x^2 -821676492*x + 59835445324672);
T[35,29]=(x^2 + 126898*x -20838975695)*(x^4 -218711*x^3 -12393035175*x^2 + 5270342207486251*x -284786772293764136390)*(x^5 + 164219*x^4 -18953464165*x^3 -647539784128019*x^2 + 35767207927097398560*x + 593639409096537644538900)*(x^3 -105644*x^2 -6338158123*x + 18641073090050);
T[35,31]=(x^2 -252768*x -6409132848)*(x^4 -219348*x^3 -35400334608*x^2 + 5336110154197440*x + 526752141161576025600)*(x^5 -138440*x^4 -58272888672*x^3 + 7747915831524096*x^2 + 77975915671399854080*x -24026899775743097041715200)*(x^3 + 71408*x^2 -6700139360*x -136675040377600);
T[35,37]=(x^2 + 265860*x -66117717036)*(x^4 + 212844*x^3 -21924270432*x^2 -109622713710384*x + 9634370557948150896)*(x^5 -181518*x^4 -95116065336*x^3 + 11501310124246352*x^2 + 1486523900175201770960*x + 35644622762049671351936416)*(x^3 + 82702*x^2 -281478337140*x -13309800209606936);
T[35,41]=(x^2 + 111920*x -58262616304)*(x^4 + 1215338*x^3 + 442409530040*x^2 + 29600969079618208*x -6569560705149646526336)*(x^5 + 369676*x^4 -732129483356*x^3 -170023465379381952*x^2 + 125255161156656140396928*x + 14595878281524300759906496512)*(x^3 + 258086*x^2 -65593253072*x -10752180569715648);
T[35,43]=(x^2 -947572*x + 197893738100)*(x^4 -1074782*x^3 + 154078066772*x^2 + 87088835884111256*x -5413750438803433920800)*(x^5 -386*x^4 -1107038327364*x^3 + 109760306103012168*x^2 + 261047198932362978855488*x -26579772755638301886208497280)*(x^3 + 359312*x^2 -2398912508*x -1646851225956976);
T[35,47]=(x^2 -271274*x -123267405047)*(x^4 -110699*x^3 -1764226944885*x^2 + 486459182347370887*x + 251630419537358092136536)*(x^5 -962985*x^4 -934095669701*x^3 + 582095465086895653*x^2 -38522395233185845591296*x -1678219095497203406540715264)*(x^3 + 373146*x^2 -213774204623*x + 10539929494756232);
T[35,53]=(x^2 + 1267792*x + 214640651072)*(x^3 + 1174498*x^2 -1420103406432*x -1516391810124676448)*(x^5 -396244*x^4 -3755416687596*x^3 + 1959200755463234432*x^2 + 3357140479518848666376192*x -2029293053861940531200519110656)*(x^4 -3568154*x^3 + 2127608033336*x^2 + 3284782121362418720*x -2478268284119186068508288);
T[35,59]=(x^2 + 1360120*x -818710818800)*(x^4 -261488*x^3 -5381862553344*x^2 -1231191650878407680*x + 4035500652433636606259200)*(x^5 -6284948*x^4 + 11510892961696*x^3 -3137998852677453440*x^2 -5722435390032415297186560*x + 2167263289625603964547545676800)*(x^3 -1091968*x^2 -4004107222784*x + 4862535689537576960);
T[35,61]=(x^2 + 1813680*x + 816706565136)*(x^4 -5355426*x^3 + 8988678150192*x^2 -5402954330210511936*x + 766837099522238316074496)*(x^5 -1975828*x^4 -3779408772956*x^3 + 11243791835328595040*x^2 -8164458101711085321640832*x + 1711773221991184157232566709248)*(x^3 + 2628822*x^2 -7949329872912*x -20559297244075233952);
T[35,67]=(x^2 + 2189312*x -10082635080448)*(x^4 -10352960*x^3 + 38927140974752*x^2 -63073331627106290176*x + 37290165279017627237379328)*(x^5 + 554376*x^4 -14563600835728*x^3 -9024550507691046272*x^2 + 40996226308759116514059264*x + 6307054611201372265725067747328)*(x^3 + 2996428*x^2 + 1619804011376*x -179084224172276416);
T[35,71]=(x^2 + 1494928*x -1610731398080)*(x^4 -3607808*x^3 -23029904993664*x^2 + 64576884891959652352*x + 81996822967003473013166080)*(x^5 -6526040*x^4 -9421683397888*x^3 + 93812995368253562880*x^2 + 17653629954216096759545856*x -286037557621024763163346143805440)*(x^3 + 7975232*x^2 + 20557993988096*x + 16880795607502159872);
T[35,73]=(x^2 -7169788*x + 10866534315332)*(x^4 -2787392*x^3 -2161142765464*x^2 + 5555670226730136896*x -2005006976361775983692336)*(x^5 -7479766*x^4 + 539447488280*x^3 + 85609121740752416496*x^2 -103850436163931950108445808*x -99459519370635804796088628624992)*(x^3 + 7466346*x^2 -4518843819380*x -83438276461424088776);
T[35,79]=(x^2 + 7942974*x + 14225767990465)*(x^4 + 735975*x^3 -23852159790565*x^2 -55825138024167389931*x -18702229023052353129947360)*(x^5 -4851305*x^4 -56723465377885*x^3 + 185356114456862378389*x^2 + 751294762607218078147742920*x -156751068129527844498785976361600)*(x^3 -5040874*x^2 -20984986163199*x + 56267451646899626600);
T[35,83]=(x^2 + 304712*x -38809208931248)*(x^4 -2001724*x^3 -7014420184656*x^2 + 13455603282286913216*x + 2552137189418817801730048)*(x^5 + 11813196*x^4 -4905690778208*x^3 -427406987342280430208*x^2 -1204468930459981264145996544*x -514527933359318795088081213072384)*(x^3 + 2965128*x^2 -44216008228784*x -152414034032850564352);
T[35,89]=(x^2 + 17943528*x + 77796446568160)*(x^4 + 13872714*x^3 + 28927273516040*x^2 -241638617805675779424*x -802799034053717710669604480)*(x^5 -12879896*x^4 -58829263629980*x^3 + 1026837491757228636336*x^2 -3350385453213032700392383680*x + 3106305672114529202972749111791360)*(x^3 -15507394*x^2 + 66746109437872*x -57332424513157498560);
T[35,97]=(x^2 -4258074*x -15859623239687)*(x^4 + 12763773*x^3 -75485637448219*x^2 -1338824052762962423193*x -3740008969541125436602276802)*(x^5 -11704767*x^4 -163932515445637*x^3 + 938611342423412809679*x^2 + 6749571583214510287772539976*x + 4458593362848610621978429130370348)*(x^3 + 27897424*x^2 + 217992888327869*x + 347825576539804265406);

T[36,2]=(x )^3;
T[36,3]=(x )^3;
T[36,5]=(x + 270)*(x -378)*(x );
T[36,7]=(x + 832)*(x + 508)*(x -1112);
T[36,11]=(x -2484)*(x -5724)*(x );
T[36,13]=(x + 14614)*(x -14870)*(x + 4570);
T[36,17]=(x -36558)*(x -22302)*(x );
T[36,19]=(x -51740)*(x + 16300)*(x + 57448);
T[36,23]=(x + 22248)*(x -115128)*(x );
T[36,29]=(x + 157086)*(x -157194)*(x );
T[36,31]=(x + 103936)*(x -178916)*(x + 16456);
T[36,37]=(x -279710)*(x + 149266)*(x + 94834);
T[36,41]=(x + 659610)*(x -241110)*(x );
T[36,43]=(x -1035224)*(x + 75772)*(x + 443188);
T[36,47]=(x + 405648)*(x + 922752)*(x );
T[36,53]=(x -1346274)*(x -697626)*(x );
T[36,59]=(x + 870156)*(x -1303884)*(x );
T[36,61]=(x + 3535546)*(x -1833782)*(x -2067062);
T[36,67]=(x + 1680748)*(x -1369388)*(x + 385072);
T[36,71]=(x -1070280)*(x + 2714040)*(x );
T[36,73]=(x -2868794)*(x + 2403334)*(x + 6274810);
T[36,79]=(x + 1129648)*(x -2301512)*(x -8763044);
T[36,83]=(x + 5912028)*(x + 4708692)*(x );
T[36,89]=(x + 4143690)*(x -897750)*(x );
T[36,97]=(x -13719074)*(x -12245198)*(x + 1622974);

T[38,2]=(x + 8)^5*(x -8)^6;
T[38,3]=(x -77)*(x^2 + 61*x + 246)*(x^2 + 69*x -234)*(x^2 + 11*x -4458)*(x^4 -12*x^3 -9043*x^2 + 164994*x + 9954648);
T[38,5]=(x -440)*(x^2 + 69*x -39204)*(x^2 -175*x -146300)*(x^2 -155*x -146072)*(x^4 + 279*x^3 -173610*x^2 -31638600*x + 6648480000);
T[38,7]=(x -951)*(x^2 + 348*x -849421)*(x^2 + 2592*x + 1654983)*(x^4 -2485*x^3 + 1751247*x^2 -214155299*x -74716579192)*(x^2 + 2238*x + 1128093);
T[38,11]=(x + 8398)*(x^2 -1045*x -50723462)*(x^2 + 3295*x -894002)*(x^2 -2723*x + 1849194)*(x^4 -5269*x^3 -14443560*x^2 + 44780357412*x + 88406758195632);
T[38,13]=(x + 6223)*(x^2 + 14113*x + 47419908)*(x^2 + 13427*x + 13167724)*(x^2 -14647*x + 48454564)*(x^4 -5406*x^3 -152473893*x^2 + 1420048205146*x -3110537408743080);
T[38,17]=(x -26211)*(x^2 -29616*x + 213734439)*(x^2 + 38560*x + 304915287)*(x^2 + 32256*x + 253133559)*(x^4 -22885*x^3 -901600659*x^2 + 8379333931725*x + 186464917523314458);
T[38,19]=(x + 6859)^5*(x -6859)^6;
T[38,23]=(x + 64213)*(x^2 -69985*x -84282392)*(x^2 + 82525*x -1087606952)*(x^2 + 73897*x + 727281168)*(x^4 -3364*x^3 -12072948381*x^2 -14333869035720*x + 28662175856445077376);
T[38,29]=(x -65845)*(x^2 -138821*x -18767350094)*(x^2 + 12749*x -1552615514)*(x^2 -159813*x -10315913526)*(x^4 + 122136*x^3 -13898936313*x^2 + 218031219002556*x + 2775856276186444620);
T[38,31]=(x + 32708)*(x^2 + 199396*x -6382036064)*(x^2 + 259468*x + 16830838944)*(x^2 -258944*x + 9936311536)*(x^4 -225480*x^3 -40955486928*x^2 + 3473955963466624*x + 323110415225499414528);
T[38,37]=(x + 436694)*(x^2 + 528168*x + 17489301548)*(x^2 + 67840*x -142395679268)*(x^2 + 149260*x -6156318428)*(x^4 -154096*x^3 -335762746632*x^2 + 66645207745528768*x + 11396813950122541990928);
T[38,41]=(x + 28808)*(x^2 -339130*x -393872642768)*(x^2 -1005650*x + 249116260800)*(x^2 + 539350*x -64948688)*(x^4 + 1054628*x^3 + 315974762100*x^2 + 12178490485622400*x -4325964277988597760000);
T[38,43]=(x -650272)*(x^2 -602639*x + 90498085252)*(x^2 + 83869*x -268023173408)*(x^2 -286217*x -224831764452)*(x^4 + 840795*x^3 -207747337704*x^2 -154742908167258992*x + 32640642367940057033856);
T[38,47]=(x -58736)*(x^2 -1471025*x + 474895142800)*(x^2 + 1031975*x -263524205000)*(x^2 + 1397509*x + 485859505512)*(x^4 + 1021877*x^3 -54019190952*x^2 -266978614446350208*x -57891124954117677588480);
T[38,53]=(x + 918703)*(x^2 + 945643*x + 79392286228)*(x^2 + 1385969*x -1418308915764)*(x^2 -2138263*x + 147117109708)*(x^4 + 326842*x^3 -347890289085*x^2 -35704786356945846*x + 18709950481247520979848);
T[38,59]=(x + 787635)*(x^2 + 3936369*x + 3864174091866)*(x^2 + 969009*x -1837525132614)*(x^2 -2700953*x -405173436054)*(x^4 -421384*x^3 -5538000319011*x^2 + 8271239778108549774*x -3302238646893360441551400);
T[38,61]=(x -3106862)*(x^2 + 1506755*x -359679230318)*(x^2 + 3975947*x + 1928935887694)*(x^2 + 1027655*x -4064856437738)*(x^4 -116825*x^3 -3251116328970*x^2 -59553768706005308*x + 2330991955052985877433560);
T[38,67]=(x -2726001)*(x^2 -764949*x -2495267011548)*(x^2 + 134557*x -12718841223612)*(x^2 + 1848219*x -1107042934188)*(x^4 -5794566*x^3 + 11419584052881*x^2 -9210308051941505432*x + 2616528632045115659204880);
T[38,71]=(x + 1800958)*(x^2 -4202740*x + 1157380019748)*(x^2 + 3572084*x -8985205484828)*(x^2 + 3417184*x -10503963815108)*(x^4 -10590626*x^3 + 36394168513356*x^2 -43544330388552637368*x + 14454059305454778160528704);
T[38,73]=(x + 1436223)*(x^2 + 2499822*x -4520032488687)*(x^2 -900498*x -4028508966511)*(x^2 -9069522*x + 20561142356433)*(x^4 -3971389*x^3 -32853962452815*x^2 + 110325479713313166673*x + 13022210324470434835321658);
T[38,79]=(x -3402110)*(x^2 + 6893730*x + 11081929595552)*(x^2 -2636926*x -5162668519808)*(x^2 + 2753414*x -50903350780448)*(x^4 -5597800*x^3 -29059967927988*x^2 + 30842618200472950720*x + 85146096600208554445721600);
T[38,83]=(x + 9454038)*(x^2 + 7643046*x + 14334319474056)*(x^2 + 10059354*x + 23086028557656)*(x^2 + 2465330*x -991765457112)*(x^4 -4665800*x^3 -18352798021476*x^2 + 33307217683949825280*x + 88825376924693638386631488);
T[38,89]=(x + 40980)*(x^2 -17431724*x + 64480164517536)*(x^2 + 3506160*x -29977064763600)*(x^2 -1393620*x -513986601600)*(x^4 + 2794214*x^3 -78161657660496*x^2 -25710653689707752352*x + 253495159649154562031182080);
T[38,97]=(x -4281646)*(x^2 -6351934*x -97107139603184)*(x^2 + 6921466*x -48822541081424)*(x^2 -5893526*x -88352296135184)*(x^4 + 14445130*x^3 -35804303115060*x^2 -445273526593930340264*x -280256871884960159987094080);

T[39,2]=(x^2 + 8*x -100)*(x^3 + 14*x^2 -264*x -3120)*(x^4 + 6*x^3 -441*x^2 -2256*x + 6292)*(x^5 -547*x^3 -390*x^2 + 47208*x + 178992);
T[39,3]=(x -27)^7*(x + 27)^7;
T[39,5]=(x^2 + 132*x + 4240)*(x^3 + 370*x^2 -64800*x -12636000)*(x^4 + 276*x^3 -114712*x^2 -24189024*x + 481985920)*(x^5 -774*x^4 + 668*x^3 + 103321560*x^2 -20063635200*x + 704132352000);
T[39,7]=(x^2 + 1116*x + 238864)*(x^3 -48*x^2 -1864332*x + 405965776)*(x^4 + 1116*x^3 -2004808*x^2 -1281384864*x + 957942027904)*(x^5 -1420*x^4 -1621244*x^3 + 2808410176*x^2 -432737539072*x -363140967120896);
T[39,11]=(x^2 + 292*x -17622284)*(x^3 -2920*x^2 -7268592*x -669175296)*(x^4 -4968*x^3 -46158920*x^2 + 205728922080*x -198585233297264)*(x^5 + 2280*x^4 -35106544*x^3 -81412999680*x^2 + 124756426960896*x -14479982380449792);
T[39,13]=(x + 2197)^6*(x -2197)^8;
T[39,17]=(x^2 + 16004*x + 58107188)*(x^3 + 43354*x^2 + 447795852*x + 91762242936)*(x^4 -22944*x^3 -853244280*x^2 + 19294734843456*x + 10223281838620240)*(x^5 -54330*x^4 + 831550184*x^3 -2134686002256*x^2 -29568059065100976*x + 129384586807896388320);
T[39,19]=(x^2 + 34836*x -440879600)*(x^3 + 50756*x^2 + 375988612*x + 464388450912)*(x^4 + 26628*x^3 -1735057000*x^2 -69541775970528*x -629021411496553088)*(x^5 -83832*x^4 + 1600846500*x^3 + 18380984799952*x^2 -630332627662283328*x + 3624575037536305555200);
T[39,23]=(x^2 + 84296*x + 1765162000)*(x^3 + 18408*x^2 -4379888640*x -125857859272704)*(x^4 -23712*x^3 -7942809248*x^2 + 494869775682048*x -8127296411904300800)*(x^5 -2736*x^4 -10388397504*x^3 + 196251327830016*x^2 + 15756128819826130944*x -367719704553154632744960);
T[39,29]=(x^2 + 107132*x + 2869249540)*(x^3 -114554*x^2 -24657768228*x + 2507624439753768)*(x^4 -227592*x^3 -6384527144*x^2 + 2109800517520608*x + 88116375608223959824)*(x^5 -80622*x^4 -38640357064*x^3 -599097577346832*x^2 + 234566417969090140944*x + 9265746316842567343360800);
T[39,31]=(x^2 -9820*x -11900613136)*(x^3 -93248*x^2 -28232366380*x + 1215221022798032)*(x^4 -531380*x^3 + 50194476680*x^2 + 10710985379004896*x -1461401083466860728704)*(x^5 -18332*x^4 -68701978940*x^3 + 3515646018372736*x^2 + 763508336774030604544*x -38793676515655690857132032);
T[39,37]=(x^2 + 17020*x -398098636)*(x^3 + 363262*x^2 -36270099460*x -6615900958503928)*(x^4 + 630032*x^3 -16702610008*x^2 -63463946754817280*x -8880702104587501703216)*(x^5 -298166*x^4 -402607433480*x^3 + 116830092830445232*x^2 + 25767352817278260615184*x -7381835553339578250600707936);
T[39,41]=(x^2 -542092*x + 63637019216)*(x^3 + 556398*x^2 -47072130528*x + 777602830564224)*(x^4 -212028*x^3 -168260874264*x^2 + 19632053317128096*x + 3295564239068940358528)*(x^5 + 720030*x^4 -310286129988*x^3 -223997149635874776*x^2 -6240356230414796060544*x + 187326864383742213312150144);
T[39,43]=(x^2 + 260512*x -165951930064)*(x^3 -1393420*x^2 + 440131231600*x + 22627904181253824)*(x^4 + 1883816*x^3 + 987659405024*x^2 + 57670012389033856*x -30606336058928972058368)*(x^5 + 1159956*x^4 -339090337248*x^3 -815022685605753728*x^2 -278424274781305078014720*x -19084139480406218994623241216);
T[39,47]=(x^2 -1167660*x + 211142371300)*(x^3 + 938604*x^2 -460674789264*x -47791159668031680)*(x^4 + 218976*x^3 -352204677592*x^2 -57728888839630272*x + 20734125580876600309456)*(x^5 + 180780*x^4 -1073449830528*x^3 + 324389578143594240*x^2 + 24203068738395080122368*x -45084673846591032391041024);
T[39,53]=(x^2 + 22804*x -796300427996)*(x^3 + 1293270*x^2 -2397713062068*x -2690064303374409912)*(x^4 -4469064*x^3 + 6901395170296*x^2 -4312892039210995872*x + 877615902184484180042896)*(x^5 + 1903386*x^4 -298355541336*x^3 -1753264031211391536*x^2 -262598360456974593328560*x + 306078757240050567608324604192);
T[39,59]=(x^2 + 314036*x -215747758492)*(x^3 + 5846928*x^2 + 10735317515328*x + 6302583048419094528)*(x^4 -6869472*x^3 + 16878857154792*x^2 -17126256491658343872*x + 5691666739244045692584400)*(x^5 -2455752*x^4 -5062648247328*x^3 + 15960426160497262848*x^2 -7564360115215778321145600*x -705216515317507469623597516800);
T[39,61]=(x^2 + 1240028*x -1956188219068)*(x^3 + 6300502*x^2 + 12843067325852*x + 8538803684511201896)*(x^4 -458456*x^3 -16189093949512*x^2 + 4428754774934053664*x + 62865696631086849910960528)*(x^5 -1361078*x^4 -6694162468040*x^3 + 292447981421524528*x^2 + 7909630437435061290587920*x + 3349168501734268337158872881824);
T[39,67]=(x^2 + 3256228*x -5759167320688)*(x^3 -3619508*x^2 -4577448249916*x + 18875436757800659936)*(x^4 + 2218700*x^3 -8380049891512*x^2 -16091806528752950048*x + 1677121943565811641476224)*(x^5 -7533704*x^4 + 7561762736068*x^3 + 64432111880077521136*x^2 -189212944858632826141867328*x + 148817220331805742407202706249984);
T[39,71]=(x^2 + 227516*x -2426026397900)*(x^3 + 5742612*x^2 + 3114416832000*x -8056876361564768256)*(x^4 -2473128*x^3 -19954722293864*x^2 + 26441590294105476192*x + 114643329729517942256694544)*(x^5 -2672820*x^4 -27258119359248*x^3 + 83382286984273039680*x^2 + 50197499455919668504565760*x -174931274807116829792735452397568);
T[39,73]=(x^2 -1100484*x -11742961945292)*(x^3 + 6208602*x^2 + 5362179652188*x + 759379115543884888)*(x^4 -10457616*x^3 + 32470975384808*x^2 -37719048548037279360*x + 13970766905161674022811344)*(x^5 -10580722*x^4 + 30952089711160*x^3 + 208326415197987856*x^2 -114420489496947541606353136*x + 116767722050787732069183361294048);
T[39,79]=(x^2 + 12543984*x + 37382426768128)*(x^3 + 5789976*x^2 -18214349211648*x -2074288795362756608)*(x^4 -5130864*x^3 -40960050137728*x^2 + 179504436835325463552*x + 21201997099738681722769408)*(x^5 -4006864*x^4 -28926576022208*x^3 + 113638756766694049792*x^2 + 54856444968752830523260928*x -225510936321134281546212803870720);
T[39,83]=(x^2 + 2193436*x -50015115394876)*(x^3 + 1217504*x^2 -21801574234368*x + 30996141853390995456)*(x^4 -16493520*x^3 + 60358765237896*x^2 + 182539625904851062656*x -1002781288080977731374070448)*(x^5 -359208*x^4 -59803465811104*x^3 -14899564601623778304*x^2 + 582834726259978970141303040*x -654822986775598494442012417652736);
T[39,89]=(x^2 + 4415748*x + 2272670716720)*(x^3 + 16081814*x^2 + 80197427311296*x + 118336405755290458080)*(x^4 + 3209484*x^3 -43321116348616*x^2 -41751856833713024928*x + 315043333107843851349358720)*(x^5 -5879106*x^4 -87363143908036*x^3 + 42250106948631860232*x^2 + 1761981160296682287330528000*x + 3311608289791942207899386805196800);
T[39,97]=(x^2 -4898660*x -23220436914700)*(x^3 -8275742*x^2 -7471533925252*x + 125834705022493287800)*(x^4 -17620768*x^3 + 1159436470472*x^2 + 567706728019794814912*x -93435354115819618146948272)*(x^5 -8253386*x^4 -183423304451720*x^3 + 1485640469293309076560*x^2 + 8255733032802062403000768016*x -65340513979744649535223230492347552);

T[40,2]=(x )^7;
T[40,3]=(x + 36)*(x^2 -4*x -2940)*(x^2 -36*x -60)*(x^2 -76*x -960);
T[40,5]=(x -125)^3*(x + 125)^4;
T[40,7]=(x -776)*(x^2 + 404*x -1483292)*(x^2 -796*x + 40608)*(x^2 -844*x -672732);
T[40,11]=(x + 124)*(x^2 -4640*x + 1131264)*(x^2 + 2080*x -43832576)*(x^2 + 560*x -33394896);
T[40,13]=(x + 13082)*(x^2 -6804*x -39722652)*(x^2 + 6124*x -134449052)*(x^2 -4476*x -36878652);
T[40,17]=(x + 15950)*(x^2 + 15116*x -779449820)*(x^2 -29524*x + 204031140)*(x^2 -38516*x + 133419300);
T[40,19]=(x + 20516)*(x^2 -19560*x -1337097136)*(x^2 + 66520*x + 1034563984)*(x^2 -39720*x + 29646224);
T[40,23]=(x + 29224)*(x^2 -129796*x + 2607106848)*(x^2 + 151804*x + 5546838148)*(x^2 -46244*x -775126332);
T[40,29]=(x + 221482)*(x^2 -186940*x -4295905404)*(x^2 -16700*x -505577084)*(x^2 + 211060*x + 1288412196);
T[40,31]=(x + 109760)*(x^2 -165352*x + 818772480)*(x^2 + 327128*x + 11743009680)*(x^2 + 100888*x + 1011667600);
T[40,37]=(x -73422)*(x^2 + 292100*x -89047076604)*(x^2 -667380*x + 94131832356)*(x^2 -67060*x -236492620764);
T[40,41]=(x -12762)*(x^2 -1154796*x + 254952125028)*(x^2 + 162964*x -1010797212)*(x^2 + 851324*x + 144020798148);
T[40,43]=(x -290548)*(x^2 + 1123468*x + 196424013732)*(x^2 + 197812*x -43299367968)*(x^2 -286868*x -26560476188);
T[40,47]=(x -1269152)*(x^2 + 34164*x -5081205376)*(x^2 + 212644*x -345092262716)*(x^2 + 777156*x + 150662471684);
T[40,53]=(x + 395778)*(x^2 + 876404*x -146124685596)*(x^2 + 159324*x -880603188156)*(x^2 -144164*x -2106147954876);
T[40,59]=(x -421492)*(x^2 + 2088504*x -3116336362992)*(x^2 + 1589624*x + 629750886928)*(x^2 -1120776*x -5676215308272);
T[40,61]=(x + 2122250)*(x^2 + 1855852*x -2532614905500)*(x^2 -1409708*x -1481676069660)*(x^2 -1723028*x -2105259820700);
T[40,67]=(x + 3132868)*(x^2 + 4790756*x + 4317718910788)*(x^2 + 2882076*x + 1993275644768)*(x^2 -6239676*x + 9716614914308);
T[40,71]=(x + 5376552)*(x^2 -9819448*x + 24088912922880)*(x^2 + 1071112*x + 285545583120)*(x^2 -2649528*x -7126511278320);
T[40,73]=(x -4985466)*(x^2 + 189404*x -20652866457852)*(x^2 -3467044*x + 2891492673348)*(x^2 + 3722844*x + 2289225856068);
T[40,79]=(x -3867504)*(x^2 + 2028496*x -12567463439360)*(x^2 -4340144*x -12100786389440)*(x^2 + 6979536*x + 7967108082240);
T[40,83]=(x + 6190196)*(x^2 + 1393332*x -10686074681088)*(x^2 -4161748*x + 4240040259172)*(x^2 -10960692*x + 28207563100452);
T[40,89]=(x -1124394)*(x^2 -5688820*x + 8019315835684)*(x^2 -42260*x -12795653008796)*(x^2 + 4904940*x -44531174526876);
T[40,97]=(x -9968098)*(x^2 + 20045996*x + 64901904650404)*(x^2 + 9119804*x -44129117750396)*(x^2 + 15776956*x + 57853008958084);

T[42,2]=(x -8)^2*(x + 8)^4;
T[42,3]=(x + 27)^3*(x -27)^3;
T[42,5]=(x + 18)*(x -270)*(x -30)*(x + 410)*(x -470)*(x + 122);
T[42,7]=(x -343)^3*(x + 343)^3;
T[42,11]=(x -8172)*(x + 7268)*(x + 5548)*(x + 1404)*(x + 1012)*(x -1788);
T[42,13]=(x + 1698)*(x + 2362)*(x -9374)*(x + 14242)*(x -11382)*(x -3126);
T[42,17]=(x -18354)*(x -9506)*(x + 28294)*(x + 21462)*(x -23994)*(x -20842);
T[42,19]=(x + 13684)*(x + 22228)*(x -27164)*(x + 5884)*(x -57620)*(x -30692);
T[42,23]=(x -86184)*(x -59192)*(x + 7440)*(x + 98784)*(x + 46736)*(x + 108640);
T[42,29]=(x -251862)*(x -165174)*(x -41046)*(x -27190)*(x + 41354)*(x -2774);
T[42,31]=(x + 252288)*(x + 241312)*(x + 11232)*(x -46656)*(x -21056)*(x + 27040);
T[42,37]=(x + 85714)*(x + 410290)*(x -185438)*(x -160094)*(x -524126)*(x + 239698);
T[42,41]=(x -52962)*(x + 223854)*(x + 246246)*(x -59682)*(x + 155694)*(x + 463638);
T[42,43]=(x -49508)*(x -926804)*(x -96212)*(x + 874732)*(x + 809308)*(x + 694684);
T[42,47]=(x + 548688)*(x + 451296)*(x + 409200)*(x -942096)*(x + 1068864)*(x + 529152);
T[42,53]=(x -1486398)*(x + 1943538)*(x + 294066)*(x -226398)*(x -125262)*(x + 1616994);
T[42,59]=(x + 2205732)*(x + 1180932)*(x -1563908)*(x -427956)*(x -932620)*(x + 667292);
T[42,61]=(x + 3183690)*(x + 2048554)*(x -2701070)*(x -546942)*(x + 1156690)*(x -833430);
T[42,67]=(x + 3740404)*(x -2128684)*(x -3059564)*(x -940748)*(x -1153996)*(x -3472396);
T[42,71]=(x + 33928)*(x -5694544)*(x -789048)*(x + 2593296)*(x + 3451104)*(x -3842336);
T[42,73]=(x + 1038742)*(x -1483690)*(x -374330)*(x + 3640838)*(x -4548170)*(x + 2253878);
T[42,79]=(x -2280032)*(x + 3763824)*(x -132912)*(x + 4260880)*(x -2594816)*(x -4272960);
T[42,83]=(x + 283404)*(x + 8772132)*(x + 1797708)*(x + 5393092)*(x -9841172)*(x -6950524);
T[42,89]=(x -2502690)*(x + 1681590)*(x + 5227230)*(x -2703786)*(x -9366930)*(x + 10626510);
T[42,97]=(x + 3443230)*(x + 13666078)*(x + 10813454)*(x -6168770)*(x + 4597550)*(x -2407090);

T[44,2]=(x )^7;
T[44,3]=(x^3 + 62*x^2 -2295*x -58500)*(x^4 -75*x^3 -4849*x^2 + 298815*x + 3890556);
T[44,5]=(x^3 -288*x^2 -73795*x -3433950)*(x^4 + 219*x^3 -296899*x^2 -53031615*x + 14287285350);
T[44,7]=(x^3 + 196*x^2 -1630156*x -614807776)*(x^4 -1150*x^3 -736596*x^2 + 305107000*x -25500287296);
T[44,11]=(x + 1331)^3*(x -1331)^4;
T[44,13]=(x^3 + 7602*x^2 -16035184*x + 4551462432)*(x^4 -3410*x^3 -251081656*x^2 + 798437847680*x + 10283898807257856);
T[44,17]=(x^3 + 47338*x^2 + 545945884*x + 1535382647832)*(x^4 -47260*x^3 + 614482384*x^2 -1686461074320*x -332237263373136);
T[44,19]=(x^3 + 81780*x^2 + 1693315712*x + 5603302708608)*(x^4 -34604*x^3 -1338344944*x^2 + 24958703333696*x -24345684391041024);
T[44,23]=(x^3 + 71794*x^2 -2474701359*x -51153349665456)*(x^4 -83875*x^3 -307071717*x^2 + 106472221359615*x -959025015548808696);
T[44,29]=(x^3 + 171938*x^2 -43366898784*x -7584244980238080)*(x^4 + 25066*x^3 -50398178688*x^2 -150039600518016*x + 514824465149008920576);
T[44,31]=(x^3 + 193866*x^2 -40817726431*x -2031917733464760)*(x^4 -248987*x^3 + 6738224003*x^2 + 1040244611740823*x + 15085994631830102016);
T[44,37]=(x^3 -369348*x^2 -72673821331*x + 27346405822494978)*(x^4 + 732685*x^3 + 56809979513*x^2 -41563573657503985*x -6067951113775885329246);
T[44,41]=(x^3 + 29614*x^2 -408358609296*x + 93936253706285760)*(x^4 + 373166*x^3 -101162622528*x^2 + 6144071619543264*x -101385226979795683584);
T[44,43]=(x^3 -357280*x^2 -152250561100*x -8047645001462000)*(x^4 + 359250*x^3 -474549279116*x^2 -147758573708097000*x + 11382767615424273290464);
T[44,47]=(x^3 -599080*x^2 + 99788899584*x -3084100384619520)*(x^4 + 1918600*x^3 + 516781736064*x^2 -522066591356267520*x -122623874505742916173824);
T[44,53]=(x^3 -346802*x^2 -2385129448196*x + 308354924584018632)*(x^4 + 1671980*x^3 -913099354400*x^2 -1056859999405134000*x -177452254802191985370000);
T[44,59]=(x^3 + 168858*x^2 -484331450895*x -13016568110683500)*(x^4 -2314353*x^3 -5103232815177*x^2 + 7037035387103033397*x + 9376098973033150094648076);
T[44,61]=(x^3 + 441050*x^2 -2001274646272*x + 603301154319826336)*(x^4 + 3441174*x^3 -7173897017048*x^2 -31504413240896491104*x -22505296073943744997721984);
T[44,67]=(x^3 + 2697402*x^2 -1852381028119*x -540655409340352788)*(x^4 -125285*x^3 -15498731192617*x^2 -24047018126898250015*x -3655497176691314747953884);
T[44,71]=(x^3 + 6589318*x^2 -3789825422919*x -52788865002259399200)*(x^4 -9506041*x^3 + 32872631470995*x^2 -48836151317080052523*x + 26325869310835097371811784);
T[44,73]=(x^3 + 2051782*x^2 -15686199679920*x + 13461757869686940000)*(x^4 -1846390*x^3 -19737488016872*x^2 + 21426587340238101120*x + 89746758674164619428794624);
T[44,79]=(x^3 + 7495540*x^2 -61903008508*x -31220728498437404608)*(x^4 -11096302*x^3 + 9593917839180*x^2 + 198793547766522263896*x -464790374766085619191405696);
T[44,83]=(x^3 + 981432*x^2 -83288339493964*x -270736981387033677648)*(x^4 -9080310*x^3 -456642346972*x^2 + 126997015264778180280*x -190793654500842650053960416);
T[44,89]=(x^3 -10112280*x^2 -12194906493667*x + 195062495207851021494)*(x^4 -2687007*x^3 -125007150503227*x^2 + 157193415178565332203*x + 2864020196535799872878722566);
T[44,97]=(x^3 + 402284*x^2 -97857368201419*x -360098741347222109666)*(x^4 -6773325*x^3 -134251912869431*x^2 + 524337241029780001425*x + 2918599622054841661318978546);

T[45,2]=(x -10)*(x -5)*(x + 5)*(x -13)*(x -22)*(x -14)*(x + 10)*(x^2 + 20*x + 24)*(x^2 + 7*x -138);
T[45,3]=(x )^11;
T[45,5]=(x + 125)^5*(x -125)^6;
T[45,7]=(x + 1644)*(x -1380)*(x + 420)*(x^2 + 100*x -235836)*(x^2 -1304*x -46080)*(x -930)^2*(x + 1170)^2;
T[45,11]=(x -2650)*(x + 8450)*(x -8450)*(x + 2650)*(x -2944)*(x + 172)*(x -3304)*(x^2 + 3448*x -29376048)*(x^2 + 4544*x -6998016);
T[45,13]=(x -3862)*(x + 11006)*(x -8506)*(x^2 + 8988*x -81820108)*(x^2 -3540*x -24961564)*(x + 11180)^2*(x -6220)^2;
T[45,17]=(x -31070)*(x -9590)*(x + 31070)*(x -9994)*(x + 9590)*(x -16546)*(x -12254)*(x^2 -5492*x -286949484)*(x^2 -27340*x + 80327844);
T[45,19]=(x -41236)*(x + 25940)*(x + 25364)*(x^2 -38760*x + 367802000)*(x^2 + 49584*x -20483920)*(x + 45884)^2*(x -30316)^2;
T[45,23]=(x -32760)*(x + 32760)*(x + 84120)*(x + 12972)*(x -5880)*(x + 102120)*(x -102120)*(x^2 -124140*x + 3840033636)*(x^2 + 91848*x -1966256640);
T[45,29]=(x + 132802)*(x -81610)*(x + 163042)*(x + 87550)*(x + 163150)*(x -87550)*(x -163150)*(x^2 -72260*x -27652933500)*(x^2 + 181772*x -2060549340);
T[45,31]=(x + 156888)*(x + 201600)*(x + 55800)*(x^2 -306824*x + 22939401744)*(x^2 -304232*x + 22433068800)*(x + 76212)^2*(x -136188)^2;
T[45,37]=(x -110126)*(x -228170)*(x -120530)*(x^2 + 502316*x + 31820561620)*(x^2 + 123020*x -45775154396)*(x -264440)^2*(x -16640)^2;
T[45,41]=(x + 467882)*(x -115910)*(x -103600)*(x -483200)*(x + 103600)*(x -139670)*(x + 483200)*(x^2 + 631172*x + 30837469380)*(x^2 + 264364*x -227722158876);
T[45,43]=(x + 19148)*(x + 755492)*(x + 499208)*(x^2 -353640*x + 23614207376)*(x^2 -423300*x -96985991164)*(x + 141080)^2*(x + 324680)^2;
T[45,47]=(x + 841016)*(x -855880)*(x + 855880)*(x + 836984)*(x + 103240)*(x -396884)*(x -103240)*(x^2 -105460*x -154530884316)*(x^2 -467480*x + 49382888064);
T[45,53]=(x + 958190)*(x -958190)*(x + 1950130)*(x + 501890)*(x -1280498)*(x -1950130)*(x + 1641650)*(x^2 -568052*x + 54364123620)*(x^2 -2391580*x + 1213130224836);
T[45,59]=(x -1586176)*(x + 1239550)*(x + 2643350)*(x -1337420)*(x -989656)*(x -2643350)*(x -1239550)*(x^2 + 287224*x -3349911332400)*(x^2 -1120120*x -3614968086000);
T[45,61]=(x + 923978)*(x + 372962)*(x + 1658162)*(x^2 -2257044*x -672038095516)*(x^2 + 2514180*x + 1579956747716)*(x -628522)^2*(x -2820922)^2;
T[45,67]=(x -4561044)*(x + 4523844)*(x + 797304)*(x^2 -4516460*x + 4620664454244)*(x^2 + 5073832*x + 3899842029456)*(x -310380)^2*(x + 506220)^2;
T[45,71]=(x + 3934300)*(x -389408)*(x + 5103392)*(x + 1512832)*(x -2890900)*(x + 2890900)*(x -3934300)*(x^2 -3748816*x + 2634564492864)*(x^2 + 621784*x -275746164336);
T[45,73]=(x + 1522910)*(x + 4267478)*(x -5617330)*(x^2 -4569060*x + 1330152816836)*(x^2 + 1477212*x -22097955229180)*(x + 4556090)^2*(x + 2877290)^2;
T[45,79]=(x -4231920)*(x -3901080)*(x + 960)*(x^2 + 4627720*x + 4381741411200)*(x^2 -4333040*x -12272229720000)*(x -5371644)^2*(x + 5717556)^2;
T[45,83]=(x + 3790380)*(x -9394116)*(x -1854204)*(x -3790380)*(x + 6711060)*(x + 6140832)*(x -6711060)*(x^2 -6072936*x + 7951958141328)*(x^2 -9793020*x + 5699002341636);
T[45,89]=(x + 2803746)*(x + 2010570)*(x -3346500)*(x + 10564500)*(x + 3346500)*(x -10564500)*(x -6888174)*(x^2 + 16516356*x + 68134385955780)*(x^2 + 6025620*x + 1403196358500);
T[45,97]=(x + 4881934)*(x -5099426)*(x -3700034)*(x^2 -4609540*x -18666217374716)*(x^2 -2723428*x -25751505484604)*(x -2158130)^2*(x -15829730)^2;

T[46,2]=(x + 8)^5*(x -8)^7;
T[46,3]=(x^2 + 28*x -3969)*(x^3 + 12*x^2 -1329*x -23400)*(x^3 + 28*x^2 -2129*x -62376)*(x^4 -96*x^3 -4465*x^2 + 513708*x -5666688);
T[46,5]=(x^2 + 110*x + 2260)*(x^3 + 570*x^2 + 35460*x -13183600)*(x^3 -390*x^2 -204908*x + 70449680)*(x^4 -180*x^3 -154496*x^2 + 17307400*x + 5649775200);
T[46,7]=(x^3 + 1382*x^2 -1916324*x -2391036528)*(x^3 + 470*x^2 -1087220*x -644207152)*(x^4 -534*x^3 -706860*x^2 + 219533232*x + 77835124352)*(x^2 -74*x -1640916);
T[46,11]=(x^2 + 3614*x -100836)*(x^3 + 1872*x^2 -9028544*x -12823709640)*(x^3 + 11792*x^2 + 21863536*x -77567772648)*(x^4 -5100*x^3 -33333128*x^2 + 145252548888*x -68553438622560);
T[46,13]=(x^2 -11006*x + 6586369)*(x^3 + 14732*x^2 -92311067*x -1276395826678)*(x^3 + 12*x^2 -135635355*x -164166584566)*(x^4 -570*x^3 -123998451*x^2 + 723245548044*x -1064768906205244);
T[46,17]=(x^3 + 25584*x^2 -737189160*x -14898856912840)*(x^3 -5344*x^2 -755867768*x + 7098445409880)*(x^4 + 2470*x^3 -808937744*x^2 -268452888408*x + 132795587255932080)*(x^2 + 61190*x + 856242340);
T[46,19]=(x^3 + 42966*x^2 -520654260*x -556058270392)*(x^3 -85786*x^2 + 2378907532*x -21024301175928)*(x^4 -40026*x^3 -730849068*x^2 + 5350522074952*x + 78779144775310560)*(x^2 -12932*x -248474684);
T[46,23]=(x -12167)^6*(x + 12167)^6;
T[46,29]=(x^3 + 11196*x^2 -41062703763*x -3360105339204602)*(x^3 -391908*x^2 + 51034357933*x -2208081001995930)*(x^4 -64698*x^3 -10896602027*x^2 + 375285195792360*x + 8605811784007511100)*(x^2 -49466*x -8169364871);
T[46,31]=(x^2 + 327956*x + 26861842119)*(x^3 -33724*x^2 -52975924281*x -829548394660080)*(x^3 + 107892*x^2 -62216786201*x + 1721319060530960)*(x^4 -213500*x^3 -25798034585*x^2 + 1555448151709152*x + 60373675341474744320);
T[46,37]=(x^2 + 74018*x -32756250284)*(x^3 -90570*x^2 -181834402428*x -18789527807005712)*(x^3 + 168438*x^2 -133008840428*x -19366881842896656)*(x^4 + 102088*x^3 -190664435336*x^2 + 31414265889815848*x -1398873442461572587104);
T[46,41]=(x^3 + 452488*x^2 + 32885169945*x -1910868432975774)*(x^3 + 137384*x^2 -376503658567*x + 72257401756620898)*(x^4 -621698*x^3 -355711099495*x^2 + 258338359849168472*x -23268438579011883277236)*(x^2 + 331214*x -78455968611);
T[46,43]=(x^2 -879216*x + 174777423104)*(x^3 + 1110278*x^2 + 85147273568*x -115133766342655488)*(x^3 -8074*x^2 -522699845536*x -142047576967938560)*(x^4 + 1039614*x^3 + 66341347192*x^2 -28382493774952576*x + 1263921982649573001216);
T[46,47]=(x^2 -163820*x -279004016865)*(x^3 -180748*x^2 -958650060865*x + 198581469573907264)*(x^3 -160540*x^2 -449199138465*x + 23278082563317600)*(x^4 + 1077364*x^3 -40087699777*x^2 -239310084140401744*x -35889467017872595728384);
T[46,53]=(x^3 -804268*x^2 -2732487260948*x + 2719389694407194864)*(x^3 -1288796*x^2 -1273445430100*x + 1197012982392938672)*(x^4 + 3324790*x^3 + 3564705685588*x^2 + 1461977512445995720*x + 200948062504440243874272)*(x^2 -349872*x -30767132404);
T[46,59]=(x^3 + 30336*x^2 -931997909600*x -119193329080350912)*(x^3 -742720*x^2 -5242214144928*x + 1913489662690539072)*(x^4 + 75636*x^3 -4668923172320*x^2 + 2192927760816522048*x + 562710056883006879855360)*(x^2 + 4542988*x + 4826271055536);
T[46,61]=(x^2 + 2020716*x -41384052076)*(x^3 -4089196*x^2 + 5445726539732*x -2342757220533670688)*(x^3 -931612*x^2 + 148354104340*x -6174401742726112)*(x^4 -3632274*x^3 -6548262040836*x^2 + 37999135336417039848*x -36547528148276546613029056);
T[46,67]=(x^2 + 3362*x -435766946324)*(x^3 + 7060728*x^2 + 14060311039056*x + 8484114220543386280)*(x^3 + 189720*x^2 -1728733798944*x + 335610819824022792)*(x^4 + 735076*x^3 -2337507360264*x^2 -2051233054256805336*x -11381033371347753223392);
T[46,71]=(x^3 -4480752*x^2 -1319614336781*x + 601763204855646384)*(x^3 + 5044032*x^2 -10824246758349*x -54370544658809955120)*(x^4 -5085744*x^3 -6996095494397*x^2 + 29903494295178399096*x + 15565549354088757854879232)*(x^2 + 3841752*x + 1191792933891);
T[46,73]=(x^2 + 2128338*x -29361759922179)*(x^3 + 8838444*x^2 + 21928258571265*x + 16179099200995994082)*(x^3 -2533364*x^2 -35117705759519*x + 103773618450373981282)*(x^4 + 13346*x^3 -11568724155271*x^2 -18075175309903654360*x -7031055795877975444071284);
T[46,79]=(x^2 -2725172*x -49613134021164)*(x^3 + 4671024*x^2 + 2610052733572*x -6231194229000810576)*(x^3 + 3851056*x^2 -12590404166460*x -43573945220521109712)*(x^4 -11668016*x^3 + 46959903328132*x^2 -78451297557140761136*x + 46199331881176454595121920);
T[46,83]=(x^2 -6895674*x -5767062995596)*(x^3 + 8398012*x^2 -13700768731504*x -77394116099901860488)*(x^3 + 922204*x^2 -8832114413184*x -13365102030249241832)*(x^4 -5973712*x^3 -2529116696232*x^2 + 17710426167573436664*x + 11928145622751695514857184);
T[46,89]=(x^3 -16643190*x^2 + 71524695668200*x -90045507062240255904)*(x^3 + 1319178*x^2 -49442954126040*x + 49254913986675715296)*(x^4 -6024960*x^3 -74230559337980*x^2 + 278292191947946276496*x -39055221965754304256047680)*(x^2 + 4123764*x -15136805069136);
T[46,97]=(x^3 + 24176888*x^2 + 74400311879888*x -955920500360819591256)*(x^3 + 1020584*x^2 -204733935064608*x + 590214238851739953672)*(x^4 + 190638*x^3 -277346996930360*x^2 -123934938804397001176*x + 15541965114181270085385178896)*(x^2 + 13462214*x + 39411837335964);

T[48,2]=(x )^7;
T[48,3]=(x -27)^3*(x + 27)^4;
T[48,5]=(x + 114)*(x -270)*(x + 530)*(x + 378)*(x -110)*(x + 26)*(x -390);
T[48,7]=(x + 120)*(x -832)*(x + 1056)*(x -64)*(x + 504)*(x -1576)*(x + 1112);
T[48,11]=(x + 7332)*(x -5724)*(x + 6412)*(x -948)*(x + 3812)*(x -2484)*(x -7196);
T[48,13]=(x + 9626)*(x -5206)*(x + 5098)*(x + 3802)*(x + 4570)*(x -9574)*(x -14870);
T[48,17]=(x -28386)*(x -26098)*(x -18674)*(x + 6606)*(x + 22302)*(x + 36558)*(x + 6238);
T[48,19]=(x + 51740)*(x + 41492)*(x + 24860)*(x -8620)*(x -16300)*(x + 7004)*(x -38308);
T[48,23]=(x -29432)*(x -71128)*(x -115128)*(x + 22248)*(x + 41448)*(x -15288)*(x -63704);
T[48,29]=(x -157086)*(x + 210498)*(x -29334)*(x + 41610)*(x -74262)*(x + 157194)*(x -36510);
T[48,31]=(x + 87968)*(x -103936)*(x + 33152)*(x -276808)*(x -16456)*(x -275680)*(x + 185240);
T[48,37]=(x + 36466)*(x -507630)*(x -227982)*(x + 266610)*(x + 149266)*(x -268526)*(x + 94834);
T[48,41]=(x + 639078)*(x + 160806)*(x -659610)*(x -684762)*(x -360042)*(x + 629718)*(x + 241110);
T[48,43]=(x + 245956)*(x + 620044)*(x + 136132)*(x -443188)*(x -75772)*(x -156412)*(x + 685772);
T[48,47]=(x -433776)*(x -1206960)*(x + 405648)*(x + 583296)*(x + 478800)*(x -847680)*(x + 922752);
T[48,53]=(x -1423750)*(x + 428058)*(x + 569410)*(x + 1346274)*(x + 398786)*(x -786078)*(x + 697626);
T[48,59]=(x + 745140)*(x + 870156)*(x + 1152436)*(x -1525324)*(x -1303884)*(x + 1306380)*(x -2548724);
T[48,61]=(x -300662)*(x + 1660618)*(x -2067062)*(x -1833782)*(x + 2640458)*(x + 2070602)*(x + 706058);
T[48,67]=(x + 1416236)*(x -3290836)*(x -4073428)*(x + 1369388)*(x -1680748)*(x -2418796)*(x -507244);
T[48,71]=(x -383752)*(x + 5716152)*(x + 5560632)*(x + 2714040)*(x -1070280)*(x + 265976)*(x -3511304);
T[48,73]=(x + 5791238)*(x -1369082)*(x -2868794)*(x -3006010)*(x + 2403334)*(x -4738618)*(x -2659898);
T[48,79]=(x + 4661488)*(x -4948112)*(x + 3807440)*(x + 2301512)*(x + 2955688)*(x -6913720)*(x -1129648);
T[48,83]=(x + 2229468)*(x + 3462932)*(x -4376748)*(x + 5912028)*(x + 4708692)*(x -5729252)*(x -9163492);
T[48,89]=(x -7304106)*(x + 2211126)*(x -4143690)*(x -5991210)*(x + 8528310)*(x + 897750)*(x -11993514);
T[48,97]=(x + 1622974)*(x + 15594814)*(x -7150754)*(x -13719074)*(x + 690526)*(x + 4060126)*(x + 8826814);

T[49,2]=(x + 13)*(x + 6)*(x^2 + 3*x -214)*(x -10)^2*(x^4 + 6*x^3 -412*x^2 -1704*x + 9312)^2*(x^4 -15*x^3 -258*x^2 + 3000*x + 16)^2;
T[49,3]=(x -42)*(x^2 -2760)*(x^2 + 94*x + 1344)*(x^4 -28*x^3 -4986*x^2 + 43092*x + 5359473)*(x^4 + 28*x^3 -4986*x^2 -43092*x + 5359473)*(x^8 -12548*x^6 + 37937764*x^4 -19113659712*x^2 + 507878574336)*(x );
T[49,5]=(x -84)*(x^2 -223560)*(x^2 + 330*x + 5600)*(x^4 -252*x^3 -90490*x^2 + 19632900*x + 11594625)*(x^4 + 252*x^3 -90490*x^2 -19632900*x + 11594625)*(x^8 -546996*x^6 + 99700972484*x^4 -7016287445025600*x^2 + 165685510982054560000)*(x );
T[49,7]=(x )^22;
T[49,11]=(x + 5568)*(x -8684)*(x^2 -2844*x -887776)*(x + 4748)^2*(x^4 -8880*x^3 -7228100*x^2 + 168928476000*x -166442601838400)^2*(x^4 + 3972*x^3 -17626474*x^2 -19048929420*x + 7298108160225)^2;
T[49,13]=(x -5152)*(x^2 -10954440)*(x^2 + 2534*x -166620776)*(x^4 -1176*x^3 -99442952*x^2 -32623185504*x + 1618193586130576)*(x^4 + 1176*x^3 -99442952*x^2 + 32623185504*x + 1618193586130576)*(x^8 -171820068*x^6 + 3087430060324484*x^4 -15122900700897793383552*x^2 + 4344294835769881532836151296)*(x );
T[49,17]=(x -13986)*(x^2 -1224214560)*(x^2 -1488*x -22147524)*(x^4 -56364*x^3 + 826416246*x^2 -2517999385356*x -11987799041265327)*(x^4 + 56364*x^3 + 826416246*x^2 + 2517999385356*x -11987799041265327)*(x^8 -1164423208*x^6 + 450944731997841624*x^4 -58152312396958260352803232*x^2 + 28243063716976520167023497683216)*(x );
T[49,19]=(x + 55370)*(x^2 -676269000)*(x^4 + 41748*x^3 + 169371334*x^2 -4537933510236*x -5255379700682447)*(x^4 -41748*x^3 + 169371334*x^2 + 4537933510236*x -5255379700682447)*(x^2 + 32810*x + 109928560)*(x^8 -3812768612*x^6 + 4729883556022695204*x^4 -2058160535075127771335743808*x^2 + 189550917739949483602808318992742656)*(x );
T[49,23]=(x + 91272)*(x + 67976)*(x^2 + 6576*x + 10312704)*(x + 75520)^2*(x^4 -48000*x^3 -5123877408*x^2 -111080512727040*x -722297684119510784)^2*(x^4 -131748*x^3 + 1993327302*x^2 + 269621255982348*x -7710225539048622063)^2;
T[49,29]=(x -41610)*(x + 253622)*(x^2 -20640*x -18920124100)*(x + 109366)^2*(x^4 -118140*x^3 -36474787500*x^2 + 6732926700907200*x -289868191082299462400)^2*(x^4 -34056*x^3 -31564781896*x^2 + 2728285181737440*x -59240144438831257200)^2;
T[49,31]=(x + 150332)*(x^2 -391836*x + 37023636384)*(x^4 + 401212*x^3 + 29924701462*x^2 -1179859065557844*x -43579897151286178431)*(x^4 -401212*x^3 + 29924701462*x^2 + 1179859065557844*x -43579897151286178431)*(x^2 -22356000)*(x^8 -82915924368*x^6 + 2164400832115260574784*x^4 -18750243928392683166881758052352*x^2 + 50263105997733046548437082211284309508096)*(x );
T[49,37]=(x + 278382)*(x + 136366)*(x^2 -367392*x -126010986084)*(x -199650)^2*(x^4 -75020*x^3 -89258567628*x^2 + 5264414347558720*x + 1177502210570509808896)^2*(x^4 + 5396*x^3 -16600065194*x^2 + 289108379636724*x + 38867498284951612593)^2;
T[49,41]=(x -510258)*(x^2 -246474900000)*(x^4 + 410424*x^3 -264885435976*x^2 + 24134022822305760*x -579107353833539622000)*(x^4 -410424*x^3 -264885435976*x^2 -24134022822305760*x -579107353833539622000)*(x^2 + 734664*x + 13303276364)*(x^8 -656368469512*x^6 + 137324463578169260417304*x^4 -10695237637441281298144432390347808*x^2 + 225171574460665370108700504870836476498928656)*(x );
T[49,43]=(x + 172072)*(x -1014204)*(x^2 + 480476*x + 50864711104)*(x + 419340)^2*(x^4 -46544*x^3 -467061159072*x^2 + 25567670297737984*x + 32432472731311268352256)^2*(x^4 + 126720*x^3 -773129779300*x^2 + 34095022580196000*x + 96752184919088538040000)^2;
T[49,47]=(x -519036)*(x^2 -1089108*x + 2090896416)*(x^2 -49384404000)*(x^4 -1470084*x^3 + 196061638422*x^2 + 262371946788807660*x -33846309201490825701375)*(x^4 + 1470084*x^3 + 196061638422*x^2 -262371946788807660*x -33846309201490825701375)*(x^8 -2725249725200*x^6 + 2687425674492669299764800*x^4 -1135075368964323709447277736542720000*x^2 + 173085240848312485264598455448512421319516160000)*(x );
T[49,53]=(x + 1804610)*(x + 59202)*(x^2 -2858844*x + 2037435782724)*(x + 466930)^2*(x^4 + 1839120*x^3 -867806011112*x^2 -1568282163834465600*x + 728934184339420437697936)^2*(x^4 + 642372*x^3 -1688626794426*x^2 -116975571193227708*x + 439814158239955754491713)^2;
T[49,59]=(x + 1979250)*(x^2 -95912829000)*(x^2 + 160170*x -615374101440)*(x^4 -752220*x^3 -5402571979002*x^2 + 4536828253633917780*x + 1630010241563829386447025)*(x^4 + 752220*x^3 -5402571979002*x^2 -4536828253633917780*x + 1630010241563829386447025)*(x^8 -15428951660868*x^6 + 63427625310584668067277284*x^4 -34490707470317945049473553125759391552*x^2 + 4529264858306395144056929086922067761574550026496)*(x );
T[49,61]=(x -2988748)*(x^2 -29783781000)*(x^2 -864646*x -529516501136)*(x^4 -1325772*x^3 -8155072395338*x^2 + 13995112074150762324*x -5679726934410449526180911)*(x^4 + 1325772*x^3 -8155072395338*x^2 -13995112074150762324*x -5679726934410449526180911)*(x^8 -1195257224212*x^6 + 437144273951657614688004*x^4 -55970121058820875724743461813164608*x^2 + 1735428441682158985575784616133508695011174656)*(x );
T[49,67]=(x -2409404)*(x + 4863092)*(x^2 + 328648*