Sharedwww / Tables / charpoly_s6_1-100.gpOpen in CoCalc
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]), September, 1998.
6
7{
8T=matrix(100,5,m,n,0);
9T[3,2]=x + 6;
10T[3,3]=x -9;
11T[3,5]=x -6;
12
13T[4,2]=x ;
14T[4,3]=x + 12;
15T[4,5]=x -54;
16
17T[5,2]=x -2;
18T[5,3]=x + 4;
19T[5,5]=x -25;
20
21T[6,2]=(x -4)*(x^2 + 6*x + 32);
22T[6,3]=(x + 9)*(x -9)^2;
23T[6,5]=(x + 66)*(x -6)^2;
24
25T[7,2]=(x + 10)*(x^2 -9*x + 6);
26T[7,3]=(x + 14)*(x^2 + 6*x -504);
27T[7,5]=(x + 56)*(x^2 + 18*x -1344);
28
29T[8,2]=(x )^3;
30T[8,3]=(x -20)*(x + 12)^2;
31T[8,5]=(x + 74)*(x -54)^2;
32
33T[9,2]=(x -6)*(x + 6)^2;
34T[9,3]=(x -9)*(x )^2;
35T[9,5]=(x + 6)*(x -6)^2;
36
37T[10,2]=(x -4)*(x^2 -2*x + 32)*(x + 4)^2;
38T[10,3]=(x -6)*(x + 26)*(x -24)*(x + 4)^2;
39T[10,5]=(x + 25)^2*(x -25)^3;
40
41T[11,2]=(x + 4)*(x^3 -90*x + 188);
42T[11,3]=(x + 15)*(x^3 -34*x^2 + 217*x + 1212);
43T[11,5]=(x + 19)*(x^3 -24*x^2 -4371*x + 38954);
44
45T[12,2]=(x -4)*(x^2 + 6*x + 32)*(x )^4;
46T[12,3]=(x^2 + 12*x + 243)*(x + 9)^2*(x -9)^3;
47T[12,5]=(x -54)^2*(x + 66)^2*(x -6)^3;
48
49T[13,2]=(x^2 + 5*x + 2)*(x^3 -7*x^2 -84*x + 444);
50T[13,3]=(x^2 + 28*x + 43)*(x^3 -8*x^2 -237*x + 2196);
51T[13,5]=(x^2 + 42*x -6359)*(x^3 -56*x^2 -4131*x + 73386);
52
53T[14,2]=(x + 4)*(x -4)*(x^2 + 10*x + 32)*(x^4 -9*x^3 + 70*x^2 -288*x + 1024);
54T[14,3]=(x -10)*(x -8)*(x + 14)^2*(x^2 + 6*x -504)^2;
55T[14,5]=(x -84)*(x -10)*(x + 56)^2*(x^2 + 18*x -1344)^2;
56
57T[15,2]=(x + 2)*(x -7)*(x^2 + x -102)*(x -2)^2*(x + 6)^2;
58T[15,3]=(x^2 + 4*x + 243)*(x -9)^3*(x + 9)^3;
59T[15,5]=(x^2 -6*x + 3125)*(x + 25)^2*(x -25)^4;
60
61T[16,2]=(x )^7;
62T[16,3]=(x + 20)*(x -12)*(x -20)^2*(x + 12)^3;
63T[16,5]=(x + 74)^3*(x -54)^4;
64
65T[17,2]=(x + 6)*(x -1)*(x^4 -3*x^3 -94*x^2 + 284*x + 968);
66T[17,3]=(x + 18)*(x -10)*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056);
67T[17,5]=(x + 72)*(x + 16)*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784);
68
69T[18,2]=(x^2 -6*x + 32)*(x + 4)^2*(x^2 + 6*x + 32)^2*(x -4)^3;
70T[18,3]=(x + 9)*(x -9)^2*(x )^8;
71T[18,5]=(x + 96)*(x -66)*(x -96)*(x + 6)^2*(x + 66)^2*(x -6)^4;
72
73T[19,2]=(x + 6)*(x + 2)*(x^2 + 7*x -32)*(x^4 -9*x^3 -72*x^2 + 774*x -1140);
74T[19,3]=(x -4)*(x + 1)*(x^2 + 7*x -386)*(x^4 -6*x^3 -891*x^2 + 3996*x + 23652);
75T[19,5]=(x -54)*(x + 24)*(x^2 + 133*x + 3316)*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248);
76
77T[20,2]=(x -4)*(x^2 -2*x + 32)*(x + 4)^2*(x )^7;
78T[20,3]=(x -22)*(x -6)^2*(x + 26)^2*(x + 12)^2*(x -24)^2*(x + 4)^3;
79T[20,5]=(x^2 -54*x + 3125)*(x + 25)^5*(x -25)^5;
80
81T[21,2]=(x -5)*(x -10)*(x -1)*(x + 10)^2*(x^2 -9*x + 6)^2*(x + 6)^3;
82T[21,3]=(x^2 + 14*x + 243)*(x^4 + 6*x^3 -18*x^2 + 1458*x + 59049)*(x + 9)^2*(x -9)^4;
83T[21,5]=(x + 34)*(x + 106)*(x -78)*(x -94)*(x + 56)^2*(x -6)^2*(x^2 + 18*x -1344)^2;
84
85T[22,2]=(x^2 + 4*x + 32)*(x^6 + 6*x^4 + 188*x^3 + 192*x^2 + 32768)*(x + 4)^2*(x -4)^3;
86T[22,3]=(x -1)*(x + 29)*(x + 21)*(x^2 -29*x + 12)*(x + 15)^2*(x^3 -34*x^2 + 217*x + 1212)^2;
87T[22,5]=(x + 31)*(x + 51)*(x -81)*(x^2 + 13*x -4914)*(x + 19)^2*(x^3 -24*x^2 -4371*x + 38954)^2;
88
89T[23,2]=(x^3 + 4*x^2 -48*x -8)*(x^6 -4*x^5 -144*x^4 + 381*x^3 + 5928*x^2 -7784*x -77528);
90T[23,3]=(x^3 + 20*x^2 -225*x -360)*(x^6 -16*x^5 -982*x^4 + 9620*x^3 + 256213*x^2 -966996*x -2937024);
91T[23,5]=(x^3 + 58*x^2 + 668*x -3504)*(x^6 -42*x^5 -13476*x^4 + 194264*x^3 + 47402544*x^2 + 631237728*x -10563094144);
92
93T[24,2]=(x -4)*(x^2 + 6*x + 32)*(x )^13;
94T[24,3]=(x^2 -20*x + 243)*(x^2 + 12*x + 243)^2*(x -9)^5*(x + 9)^5;
95T[24,5]=(x -38)*(x + 34)*(x -94)*(x + 74)^2*(x + 66)^3*(x -54)^4*(x -6)^4;
96
97T[25,2]=(x + 2)*(x^2 + 5*x -54)*(x^2 -5*x -54)*(x^2 -44)*(x -2)^2;
98T[25,3]=(x -4)*(x^2 -396)*(x^2 + 20*x -141)*(x^2 -20*x -141)*(x + 4)^2;
99T[25,5]=(x -25)*(x )^8;
100
101T[26,2]=(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;
102T[26,3]=(x^2 -9*x -676)*(x^2 -9*x -192)*(x )*(x^2 + 28*x + 43)^2*(x^3 -8*x^2 -237*x + 2196)^2;
103T[26,5]=(x + 14)*(x^2 + 37*x -354)*(x^2 -73*x -578)*(x^2 + 42*x -6359)^2*(x^3 -56*x^2 -4131*x + 73386)^2;
104
105T[27,2]=(x^2 -54)*(x^2 -9*x -18)*(x^2 + 9*x -18)*(x )*(x -6)^2*(x + 6)^3;
106T[27,3]=(x -9)*(x )^11;
107T[27,5]=(x^2 -72*x -2529)*(x^2 + 72*x -2529)*(x^2 -3456)*(x )*(x + 6)^2*(x -6)^3;
108
109T[28,2]=(x + 4)*(x -4)*(x^2 + 10*x + 32)*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)*(x )^9;
110T[28,3]=(x -26)*(x + 2)*(x -8)^2*(x + 12)^2*(x -10)^2*(x + 14)^3*(x^2 + 6*x -504)^3;
111T[28,5]=(x + 96)*(x -16)*(x -84)^2*(x -54)^2*(x -10)^2*(x + 56)^3*(x^2 + 18*x -1344)^3;
112
113T[29,2]=(x^4 -69*x^2 + 168*x + 196)*(x^7 -4*x^6 -181*x^5 + 346*x^4 + 10616*x^3 + 2416*x^2 -186896*x -351200);
114T[29,3]=(x^4 + 28*x^3 + 46*x^2 -2316*x + 1665)*(x^7 -26*x^6 -1015*x^5 + 26056*x^4 + 280279*x^3 -7496290*x^2 -22844001*x + 661023756);
115T[29,5]=(x^4 + 68*x^3 -4850*x^2 -129708*x + 5894489)*(x^7 -32*x^6 -13189*x^5 + 456170*x^4 + 54141495*x^3 -1882536724*x^2 -71107482707*x + 2378174390186);
116
117T[30,2]=(x^2 + 2*x + 32)*(x^2 -7*x + 32)*(x^4 + x^3 -38*x^2 + 32*x + 1024)*(x^2 -2*x + 32)^2*(x^2 + 6*x + 32)^2*(x -4)^5*(x + 4)^5;
118T[30,3]=(x^2 -24*x + 243)*(x^2 + 26*x + 243)*(x^2 -6*x + 243)*(x^2 + 4*x + 243)^2*(x -9)^8*(x + 9)^8;
119T[30,5]=(x^2 + 66*x + 3125)*(x^2 -6*x + 3125)^2*(x + 25)^9*(x -25)^11;
120
121T[31,2]=(x^8 -7*x^7 -178*x^6 + 903*x^5 + 10963*x^4 -30550*x^3 -240688*x^2 + 115128*x + 420336)*(x^5 + 9*x^4 -66*x^3 -416*x^2 + 1064*x + 1360);
122T[31,3]=(x^8 + 2*x^7 -1726*x^6 -2256*x^5 + 959544*x^4 + 632448*x^3 -180929376*x^2 -36796032*x + 4699378944)*(x^5 + 20*x^4 -146*x^3 -2812*x^2 -1448*x + 32384);
123T[31,5]=(x^8 -128*x^7 -5962*x^6 + 1063324*x^5 + 2175545*x^4 -1905236564*x^3 -12826806008*x^2 + 596790808368*x + 6147184721424)*(x^5 + 72*x^4 -5143*x^3 -293838*x^2 + 5275812*x -9306904);
124
125T[32,2]=(x )^16;
126T[32,3]=(x -8)*(x + 8)*(x^2 -768)*(x )*(x + 20)^2*(x -12)^2*(x -20)^3*(x + 12)^4;
127T[32,5]=(x + 82)*(x -46)^2*(x -14)^2*(x + 74)^5*(x -54)^6;
128
129T[33,2]=(x -1)*(x + 2)*(x^2 + 5*x -38)*(x^2 -x -78)*(x^2 -13*x + 34)*(x + 6)^2*(x + 4)^2*(x^3 -90*x + 188)^2;
130T[33,3]=(x^2 + 15*x + 243)*(x^6 -34*x^5 + 946*x^4 -15312*x^3 + 229878*x^2 -2007666*x + 14348907)*(x -9)^5*(x + 9)^5;
131T[33,5]=(x + 92)*(x -46)*(x^2 -58*x -3584)*(x^2 + 38*x -7464)*(x^2 -58*x + 16)*(x -6)^2*(x + 19)^2*(x^3 -24*x^2 -4371*x + 38954)^2;
132
133T[34,2]=(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;
134T[34,3]=(x + 14)*(x^2 + 6*x -612)*(x^2 + 6*x -34)*(x^3 -4*x^2 -798*x + 6228)*(x + 18)^2*(x -10)^2*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056)^2;
135T[34,5]=(x + 74)*(x^2 -32*x -4044)*(x^2 + 36*x -780)*(x^3 -144*x^2 + 4404*x -29376)*(x + 16)^2*(x + 72)^2*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^2;
136
137T[35,2]=(x + 8)*(x^2 -x -16)*(x^3 + 6*x^2 -86*x -420)*(x^4 -7*x^3 -64*x^2 + 250*x + 964)*(x + 10)^2*(x -2)^2*(x^2 -9*x + 6)^2;
138T[35,3]=(x -1)*(x^2 -3*x -144)*(x^3 -26*x^2 -271*x + 6056)*(x^4 -14*x^3 -775*x^2 + 11976*x -1584)*(x + 4)^2*(x + 14)^2*(x^2 + 6*x -504)^2;
139T[35,5]=(x^2 + 56*x + 3125)*(x^4 + 18*x^3 + 4906*x^2 + 56250*x + 9765625)*(x + 25)^5*(x -25)^7;
140
141T[36,2]=(x^2 -6*x + 32)*(x + 4)^2*(x^2 + 6*x + 32)^2*(x -4)^3*(x )^13;
142T[36,3]=(x^2 + 12*x + 243)*(x + 9)^2*(x -9)^3*(x )^17;
143T[36,5]=(x + 54)*(x )*(x -96)^2*(x + 96)^2*(x -66)^2*(x + 6)^3*(x -54)^3*(x + 66)^4*(x -6)^6;
144
145T[37,2]=(x^7 + 8*x^6 -133*x^5 -906*x^4 + 4326*x^3 + 19928*x^2 -40920*x -109600)*(x^8 -12*x^7 -133*x^6 + 1754*x^5 + 4422*x^4 -71652*x^3 -24744*x^2 + 654576*x + 724608);
146T[37,3]=(x^7 + 47*x^6 + 108*x^5 -18352*x^4 -194360*x^3 -161292*x^2 + 1144131*x + 175797)*(x^8 -25*x^7 -1008*x^6 + 25744*x^5 + 270344*x^4 -7803948*x^3 -7306389*x^2 + 670550373*x -2024485812);
147T[37,5]=(x^7 + 64*x^6 -15005*x^5 -863300*x^4 + 53962745*x^3 + 2655054546*x^2 -10937871316*x -330953386760)*(x^8 -136*x^7 -3745*x^6 + 1039532*x^5 -27505635*x^4 -1020239226*x^3 + 52148878296*x^2 -617700933120*x + 1362821073408);
148
149T[38,2]=(x^2 + 6*x + 32)*(x^2 + 2*x + 32)*(x^8 -9*x^7 + 56*x^6 -90*x^5 + 396*x^4 -2880*x^3 + 57344*x^2 -294912*x + 1048576)*(x^4 + 7*x^3 + 32*x^2 + 224*x + 1024)*(x + 4)^3*(x -4)^4;
150T[38,3]=(x + 6)*(x + 14)*(x^2 -3*x -358)*(x^3 -13*x^2 -398*x + 5496)*(x + 1)^2*(x -4)^2*(x^2 + 7*x -386)^2*(x^4 -6*x^3 -891*x^2 + 3996*x + 23652)^2;
151T[38,5]=(x + 45)*(x -31)*(x^2 + 45*x -2736)*(x^3 -81*x^2 + 534*x + 46696)*(x -54)^2*(x + 24)^2*(x^2 + 133*x + 3316)^2*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248)^2;
152
153T[39,2]=(x -2)*(x^2 + 4*x -52)*(x^3 -55*x -78)*(x^4 -6*x^3 -117*x^2 + 780*x + 292)*(x + 6)^2*(x^2 + 5*x + 2)^2*(x^3 -7*x^2 -84*x + 444)^2;
154T[39,3]=(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;
155T[39,5]=(x + 74)*(x^2 + 48*x -824)*(x^3 -54*x^2 -2548*x + 17592)*(x^4 -24*x^3 -6688*x^2 + 120000*x + 8260288)*(x -6)^2*(x^2 + 42*x -6359)^2*(x^3 -56*x^2 -4131*x + 73386)^2;
156
157T[40,2]=(x -4)*(x^2 -2*x + 32)*(x + 4)^2*(x )^21;
158T[40,3]=(x + 18)*(x + 2)*(x + 8)*(x^2 + 12*x -480)*(x -20)^2*(x -22)^2*(x + 26)^3*(x -24)^3*(x -6)^3*(x + 4)^4*(x + 12)^4;
159T[40,5]=(x^2 + 74*x + 3125)*(x^2 -54*x + 3125)^2*(x -25)^10*(x + 25)^10;
160
161T[41,2]=(x^6 + 5*x^5 -91*x^4 -345*x^3 + 1618*x^2 + 2548*x -1176)*(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);
162T[41,3]=(x^6 + 8*x^5 -808*x^4 -7544*x^3 + 86724*x^2 + 532944*x + 588816)*(x^10 -28*x^9 -1420*x^8 + 41914*x^7 + 602232*x^6 -20750848*x^5 -55881972*x^4 + 3766392832*x^3 -9532372368*x^2 -159062811912*x + 485481280320);
163T[41,5]=(x^6 + 68*x^5 -9756*x^4 -590816*x^3 + 15918464*x^2 + 1231912448*x + 14084905216)*(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);
164
165T[42,2]=(x^2 -10*x + 32)*(x^2 -5*x + 32)*(x^2 -x + 32)*(x^2 + 10*x + 32)^2*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)^2*(x^2 + 6*x + 32)^3*(x + 4)^6*(x -4)^6;
166T[42,3]=(x^2 -10*x + 243)*(x^2 -8*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;
167T[42,5]=(x -44)*(x -24)*(x + 54)*(x -76)*(x + 72)*(x -26)*(x -94)^2*(x -10)^2*(x + 106)^2*(x -84)^2*(x -78)^2*(x + 66)^2*(x + 34)^2*(x + 56)^4*(x -6)^4*(x^2 + 18*x -1344)^4;
168
169T[43,2]=(x^8 + 12*x^7 -117*x^6 -1502*x^5 + 3358*x^4 + 49104*x^3 -39464*x^2 -439936*x + 259776)*(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);
170T[43,3]=(x^8 + 26*x^7 -907*x^6 -22242*x^5 + 184435*x^4 + 3627880*x^3 -14906374*x^2 -156321960*x + 504223128)*(x^10 -28*x^9 -1501*x^8 + 45584*x^7 + 644833*x^6 -23720286*x^5 -53106408*x^4 + 4269535704*x^3 -7322683500*x^2 -209262527352*x + 316744901280);
171T[43,5]=(x^8 + 212*x^7 + 7783*x^6 -1016128*x^5 -81381385*x^4 -883062964*x^3 + 54379881442*x^2 + 1078880170848*x + 5172924974752)*(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);
172
173T[44,2]=(x^2 + 4*x + 32)*(x^6 + 6*x^4 + 188*x^3 + 192*x^2 + 32768)*(x + 4)^2*(x -4)^3*(x )^14;
174T[44,3]=(x -7)*(x^2 + 6*x -487)*(x -1)^2*(x + 12)^2*(x + 21)^2*(x + 29)^2*(x^2 -29*x + 12)^2*(x + 15)^3*(x^3 -34*x^2 + 217*x + 1212)^3;
175T[44,5]=(x + 79)*(x^2 + 22*x -1863)*(x -81)^2*(x + 51)^2*(x + 31)^2*(x -54)^2*(x^2 + 13*x -4914)^2*(x + 19)^3*(x^3 -24*x^2 -4371*x + 38954)^3;
176
177T[45,2]=(x + 7)*(x^2 -5*x -30)*(x^2 -x -102)*(x^2 + 5*x -30)*(x -6)^2*(x -7)^2*(x^2 + x -102)^2*(x + 2)^3*(x -2)^4*(x + 6)^4;
178T[45,3]=(x^2 + 4*x + 243)*(x -9)^3*(x + 9)^3*(x )^18;
179T[45,5]=(x^2 + 6*x + 3125)*(x^2 -6*x + 3125)^2*(x + 25)^9*(x -25)^11;
180
181T[46,2]=(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)*(x^6 + 4*x^5 + 48*x^4 + 248*x^3 + 1536*x^2 + 4096*x + 32768)*(x + 4)^5*(x -4)^5;
182T[46,3]=(x^2 -6*x -211)*(x^2 + 22*x + 49)*(x^3 -14*x^2 -375*x + 4860)*(x^3 -6*x^2 -579*x + 3312)*(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;
183T[46,5]=(x^2 + 68*x -3844)*(x^2 + 68*x -4344)*(x^3 -82*x^2 -152*x + 26256)*(x^3 -32*x^2 -3692*x -2784)*(x^3 + 58*x^2 + 668*x -3504)^2*(x^6 -42*x^5 -13476*x^4 + 194264*x^3 + 47402544*x^2 + 631237728*x -10563094144)^2;
184
185T[47,2]=(x^7 + 9*x^6 -98*x^5 -824*x^4 + 2576*x^3 + 16160*x^2 -26272*x + 2112)*(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);
186T[47,3]=(x^7 + 20*x^6 -715*x^5 -12968*x^4 + 115857*x^3 + 1973232*x^2 + 6101784*x + 4157568)*(x^12 -16*x^11 -2002*x^10 + 31152*x^9 + 1447247*x^8 -21607484*x^7 -460022506*x^6 + 6400830756*x^5 + 63201766217*x^4 -750685160220*x^3 -3617688882312*x^2 + 28884606819552*x + 56777642260992);
187T[47,5]=(x^7 + 58*x^6 -6790*x^5 -352420*x^4 + 13675936*x^3 + 602933120*x^2 -7124159072*x -214246699008)*(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);
188
189T[48,2]=(x -4)*(x^2 + 6*x + 32)*(x )^31;
190T[48,3]=(x^2 + 20*x + 243)*(x^2 -12*x + 243)*(x^2 -20*x + 243)^2*(x^2 + 12*x + 243)^3*(x -9)^10*(x + 9)^10;
191T[48,5]=(x -38)^3*(x + 34)^3*(x -94)^3*(x + 66)^5*(x -6)^6*(x + 74)^6*(x -54)^8;
192
193T[49,2]=(x -11)*(x + 2)^2*(x^2 -2*x -36)^2*(x^2 + 5*x -22)^2*(x + 10)^3*(x^2 -9*x + 6)^3;
194T[49,3]=(x -14)*(x^2 + 8*x -21)*(x^2 -6*x -504)*(x^2 -624)*(x^2 -8*x -21)*(x^4 -596*x^2 + 23716)*(x )*(x + 14)^2*(x^2 + 6*x -504)^2;
195T[49,5]=(x -56)*(x^2 -5616)*(x^2 -38*x -3339)*(x^2 + 38*x -3339)*(x^2 -18*x -1344)*(x^4 -7632*x^2 + 11669056)*(x )*(x + 56)^2*(x^2 + 18*x -1344)^2;
196
197T[50,2]=(x^2 + 2*x + 32)*(x^4 + 5*x^3 + 10*x^2 + 160*x + 1024)*(x^4 -5*x^3 + 10*x^2 -160*x + 1024)*(x^4 + 20*x^2 + 1024)*(x^2 -2*x + 32)^2*(x -4)^6*(x + 4)^7;
198T[50,3]=(x + 6)*(x + 14)*(x -26)*(x -14)*(x -11)*(x + 11)*(x + 24)*(x + 26)^2*(x -4)^2*(x -6)^2*(x -24)^2*(x^2 + 20*x -141)^2*(x^2 -396)^2*(x^2 -20*x -141)^2*(x + 4)^4;
199T[50,5]=(x + 25)^2*(x -25)^3*(x )^26;
200
201T[51,2]=(x^2 + 7*x -24)*(x^3 -5*x^2 -54*x + 256)*(x^5 -x^4 -138*x^3 + 122*x^2 + 2304*x + 2520)*(x^4 -5*x^3 -108*x^2 + 526*x + 612)*(x -1)^2*(x^4 -3*x^3 -94*x^2 + 284*x + 968)^2*(x + 6)^4;
202T[51,3]=(x^2 -10*x + 243)*(x^2 + 18*x + 243)*(x^8 -28*x^7 + 844*x^6 -15564*x^5 + 305142*x^4 -3782052*x^3 + 49837356*x^2 -401769396*x + 3486784401)*(x -9)^8*(x + 9)^8;
203T[51,5]=(x^2 + 113*x + 2286)*(x^3 + 37*x^2 -4652*x + 76864)*(x^5 -4*x^4 -8711*x^3 + 63926*x^2 + 16619964*x -301530168)*(x^4 -146*x^3 + 2833*x^2 + 185428*x + 1275648)*(x -6)^2*(x + 72)^2*(x + 16)^2*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^2;
204
205T[52,2]=(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 )^17;
206T[52,3]=(x -17)*(x + 5)*(x^3 -12*x^2 -813*x + 11232)*(x + 12)^2*(x^2 -9*x -676)^2*(x^2 -9*x -192)^2*(x )^2*(x^2 + 28*x + 43)^3*(x^3 -8*x^2 -237*x + 2196)^3;
207T[52,5]=(x + 3)*(x + 91)*(x^3 -8*x^2 -8587*x -139906)*(x -54)^2*(x + 14)^2*(x^2 + 37*x -354)^2*(x^2 -73*x -578)^2*(x^2 + 42*x -6359)^3*(x^3 -56*x^2 -4131*x + 73386)^3;
208
209T[53,2]=(x^9 + 4*x^8 -176*x^7 -546*x^6 + 10783*x^5 + 20742*x^4 -268088*x^3 -154544*x^2 + 2046448*x -1582368)*(x^12 -8*x^11 -272*x^10 + 2078*x^9 + 26021*x^8 -179320*x^7 -1105576*x^6 + 5855200*x^5 + 24290240*x^4 -66132480*x^3 -240006016*x^2 + 38169088*x + 200738560);
210T[53,3]=(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)*(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);
211T[53,5]=(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)*(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);
212
213T[54,2]=(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;
214T[54,3]=(x + 9)*(x -9)^2*(x )^36;
215T[54,5]=(x + 24)*(x -84)*(x + 84)*(x -24)*(x + 33)*(x -33)*(x + 96)^2*(x -96)^2*(x -66)^2*(x^2 -72*x -2529)^2*(x^2 -3456)^2*(x^2 + 72*x -2529)^2*(x )^2*(x + 66)^3*(x + 6)^4*(x -6)^6;
216
217T[55,2]=(x^3 + 7*x^2 -44*x -268)*(x^4 + 5*x^3 -82*x^2 -300*x + 1224)*(x^5 -9*x^4 -97*x^3 + 673*x^2 + 1604*x + 204)*(x^6 -3*x^5 -149*x^4 + 309*x^3 + 4034*x^2 -1868*x -23016)*(x + 4)^2*(x -2)^2*(x^3 -90*x + 188)^2;
218T[55,3]=(x^3 + 36*x^2 + 159*x -2356)*(x^4 -497*x^2 -1800*x + 32104)*(x^6 -1145*x^4 + 840*x^3 + 276192*x^2 -164160*x -18180288)*(x^5 -1137*x^3 + 720*x^2 + 285984*x -1140480)*(x + 4)^2*(x + 15)^2*(x^3 -34*x^2 + 217*x + 1212)^2;
219T[55,5]=(x^2 + 19*x + 3125)*(x^6 -24*x^5 + 5004*x^4 -111046*x^3 + 15637500*x^2 -234375000*x + 30517578125)*(x + 25)^10*(x -25)^10;
220
221T[56,2]=(x -4)*(x + 4)*(x^2 + 10*x + 32)*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)*(x )^28;
222T[56,3]=(x -30)*(x + 6)*(x^2 + 26*x -8)*(x^2 + 14*x -144)*(x^2 + 6*x -336)*(x + 2)^2*(x -26)^2*(x -20)^2*(x -8)^3*(x -10)^3*(x + 12)^4*(x + 14)^4*(x^2 + 6*x -504)^4;
223T[56,5]=(x -32)*(x -4)*(x^2 -42*x -4384)*(x^2 + 62*x -3464)*(x^2 -82*x -1424)*(x + 96)^2*(x -16)^2*(x + 74)^2*(x -10)^3*(x -84)^3*(x + 56)^4*(x -54)^4*(x^2 + 18*x -1344)^4;
224
225T[57,2]=(x -11)*(x^2 + 3*x -36)*(x^3 -9*x^2 -18*x + 72)*(x^3 + 4*x^2 -82*x -28)*(x^4 -x^3 -90*x^2 + 118*x + 1412)*(x^2 + 7*x -32)^2*(x^4 -9*x^3 -72*x^2 + 774*x -1140)^2*(x + 2)^3*(x + 6)^4;
226T[57,3]=(x^2 + x + 243)*(x^4 + 7*x^3 + 100*x^2 + 1701*x + 59049)*(x^2 -4*x + 243)*(x^8 -6*x^7 + 81*x^6 -378*x^5 -55080*x^4 -91854*x^3 + 4782969*x^2 -86093442*x + 3486784401)*(x + 9)^7*(x -9)^9;
227T[57,5]=(x + 98)*(x^2 + 87*x + 936)*(x^3 + 9*x^2 -3366*x + 64656)*(x^3 -206*x^2 + 12809*x -214204)*(x^4 + 8*x^3 -7859*x^2 -74478*x + 5726088)*(x -54)^2*(x + 24)^2*(x^2 + 133*x + 3316)^2*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248)^2*(x -6)^3;
228
229T[58,2]=(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;
230T[58,3]=(x^2 + 14*x + 27)*(x^3 -14*x^2 -297*x + 1584)*(x^4 -13*x^3 -791*x^2 + 11961*x -9270)*(x^4 + 13*x^3 -791*x^2 -5565*x + 85398)*(x^4 + 28*x^3 + 46*x^2 -2316*x + 1665)^2*(x^7 -26*x^6 -1015*x^5 + 26056*x^4 + 280279*x^3 -7496290*x^2 -22844001*x + 661023756)^2;
231T[58,5]=(x^2 + 82*x -519)*(x^3 -68*x^2 -3267*x + 183834)*(x^4 -93*x^3 -1839*x^2 + 57053*x + 484878)*(x^4 + 7*x^3 -6975*x^2 -221967*x + 13014)*(x^4 + 68*x^3 -4850*x^2 -129708*x + 5894489)^2*(x^7 -32*x^6 -13189*x^5 + 456170*x^4 + 54141495*x^3 -1882536724*x^2 -71107482707*x + 2378174390186)^2;
232
233T[59,2]=(x^15 -3*x^14 -387*x^13 + 1023*x^12 + 57328*x^11 -124838*x^10 -4067604*x^9 + 6474028*x^8 + 141305760*x^7 -129401208*x^6 -2211672000*x^5 + 786583520*x^4 + 12769149184*x^3 -857496704*x^2 -15832169472*x -6425465344)*(x^9 + 9*x^8 -135*x^7 -1157*x^6 + 6038*x^5 + 44516*x^4 -115416*x^3 -572384*x^2 + 723712*x + 2252288);
234T[59,3]=(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)*(x^9 -1175*x^7 -3063*x^6 + 387031*x^5 + 890778*x^4 -50085261*x^3 -54278127*x^2 + 2264237388*x -1466210484);
235T[59,5]=(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)*(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);
236
237T[60,2]=(x^2 + 2*x + 32)*(x^2 -7*x + 32)*(x^4 + x^3 -38*x^2 + 32*x + 1024)*(x^2 -2*x + 32)^2*(x^2 + 6*x + 32)^2*(x -4)^5*(x + 4)^5*(x )^28;
238T[60,3]=(x^2 -22*x + 243)*(x^2 + 12*x + 243)^2*(x^2 -24*x + 243)^2*(x^2 + 26*x + 243)^2*(x^2 -6*x + 243)^2*(x^2 + 4*x + 243)^3*(x + 9)^15*(x -9)^15;
239T[60,5]=(x^2 + 66*x + 3125)^2*(x^2 -54*x + 3125)^2*(x^2 -6*x + 3125)^3*(x + 25)^20*(x -25)^20;
240
241T[61,2]=(x^14 -11*x^13 -294*x^12 + 3262*x^11 + 30539*x^10 -340791*x^9 -1382930*x^8 + 15176328*x^7 + 28836336*x^6 -272253440*x^5 -380581376*x^4 + 1707997824*x^3 + 2449089536*x^2 -999062784*x -2139648)*(x^11 + 9*x^10 -194*x^9 -1658*x^8 + 13653*x^7 + 106973*x^6 -429716*x^5 -2863532*x^4 + 6372752*x^3 + 29467696*x^2 -40788032*x -72359744);
242T[61,3]=(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)*(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);
243T[61,5]=(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)*(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);
244
245T[62,2]=(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;
246T[62,3]=(x^2 + 8*x -360)*(x^2 + 8*x -12)*(x^4 -10*x^3 -418*x^2 + 1216*x + 26328)*(x^4 -28*x^3 -548*x^2 + 18288*x -68448)*(x^8 + 2*x^7 -1726*x^6 -2256*x^5 + 959544*x^4 + 632448*x^3 -180929376*x^2 -36796032*x + 4699378944)^2*(x^5 + 20*x^4 -146*x^3 -2812*x^2 -1448*x + 32384)^2;
247T[62,5]=(x^2 + 110*x + 2913)*(x^2 -2*x -1503)*(x^4 + 10*x^3 -6907*x^2 + 112540*x + 3962356)*(x^4 -2*x^3 -11235*x^2 + 99072*x -217836)*(x^8 -128*x^7 -5962*x^6 + 1063324*x^5 + 2175545*x^4 -1905236564*x^3 -12826806008*x^2 + 596790808368*x + 6147184721424)^2*(x^5 + 72*x^4 -5143*x^3 -293838*x^2 + 5275812*x -9306904)^2;
248
249T[63,2]=(x + 5)*(x + 1)*(x^2 -28)*(x^2 + 9*x + 6)*(x^4 -111*x^2 + 756)*(x -1)^2*(x -5)^2*(x -10)^3*(x -6)^3*(x^2 -9*x + 6)^3*(x + 10)^4*(x + 6)^6;
250T[63,3]=(x^2 + 14*x + 243)*(x^4 + 6*x^3 -18*x^2 + 1458*x + 59049)*(x + 9)^2*(x -9)^4*(x )^24;
251T[63,5]=(x -56)*(x + 94)*(x + 78)*(x -34)*(x -106)*(x^2 -18*x -1344)*(x^2 -1372)*(x^4 -7752*x^2 + 148176)*(x -78)^2*(x + 6)^2*(x + 34)^2*(x -94)^2*(x + 106)^2*(x + 56)^3*(x^2 + 18*x -1344)^3*(x -6)^4;
252
253T[64,2]=(x )^34;
254T[64,3]=(x + 8)^3*(x -8)^3*(x^2 -768)^3*(x )^3*(x -12)^4*(x + 20)^4*(x -20)^5*(x + 12)^6;
255T[64,5]=(x -82)*(x + 46)^2*(x -74)^2*(x + 54)^2*(x + 14)^2*(x + 82)^2*(x -14)^4*(x -46)^4*(x + 74)^7*(x -54)^8;
256
257T[65,2]=(x -5)*(x^3 + 2*x^2 -41*x -90)*(x^4 + 9*x^3 -70*x^2 -532*x + 872)*(x^6 -163*x^4 -8*x^3 + 6120*x^2 + 6624*x -19440)*(x^6 -2*x^5 -161*x^4 + 328*x^3 + 6584*x^2 -10688*x -47440)*(x -2)^2*(x^2 + 5*x + 2)^2*(x^3 -7*x^2 -84*x + 444)^2;
258T[65,3]=(x -6)*(x^3 + 16*x^2 -308*x -4128)*(x^4 + 4*x^3 -800*x^2 -1152*x + 119376)*(x^6 -38*x^5 -266*x^4 + 17872*x^3 -38924*x^2 -1064984*x + 569784)*(x^6 -20*x^5 -1046*x^4 + 20080*x^3 + 150636*x^2 -1979280*x -5696136)*(x + 4)^2*(x^2 + 28*x + 43)^2*(x^3 -8*x^2 -237*x + 2196)^2;
259T[65,5]=(x^4 + 42*x^3 -109*x^2 + 131250*x + 9765625)*(x^6 -56*x^5 + 5244*x^4 -276614*x^3 + 16387500*x^2 -546875000*x + 30517578125)*(x + 25)^11*(x -25)^11;
260
261T[66,2]=(x^2 -x + 32)*(x^2 + 2*x + 32)*(x^4 -x^3 -14*x^2 -32*x + 1024)*(x^4 + 5*x^3 + 26*x^2 + 160*x + 1024)*(x^4 -13*x^3 + 98*x^2 -416*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;
262T[66,3]=(x^2 + 29*x + 243)*(x^2 + 21*x + 243)*(x^2 -x + 243)*(x^4 -29*x^3 + 498*x^2 -7047*x + 59049)*(x^2 + 15*x + 243)^2*(x^6 -34*x^5 + 946*x^4 -15312*x^3 + 229878*x^2 -2007666*x + 14348907)^2*(x + 9)^15*(x -9)^15;
263T[66,5]=(x -50)*(x^2 -50*x -1536)*(x^2 + 14*x -8712)*(x + 66)^2*(x + 51)^2*(x -81)^2*(x -46)^2*(x + 92)^2*(x + 31)^2*(x^2 -58*x -3584)^2*(x^2 -58*x + 16)^2*(x^2 + 38*x -7464)^2*(x^2 + 13*x -4914)^2*(x + 14)^3*(x + 19)^4*(x -6)^4*(x^3 -24*x^2 -4371*x + 38954)^4;
264
265T[67,2]=(x^13 + 16*x^12 -181*x^11 -3593*x^10 + 9650*x^9 + 295125*x^8 -98858*x^7 -11316480*x^6 -4372528*x^5 + 209688448*x^4 + 76844864*x^3 -1682609088*x^2 + 4148352*x + 3089185280)*(x^15 -12*x^14 -309*x^13 + 3907*x^12 + 34926*x^11 -481241*x^10 -1722238*x^9 + 27885054*x^8 + 31923432*x^7 -767003160*x^6 + 41367968*x^5 + 8651250944*x^4 -3786700928*x^3 -24520081024*x^2 -9570505728*x + 3333969408);
266T[67,3]=(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)*(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);
267T[67,5]=(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)*(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);
268
269T[68,2]=(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 )^22;
270T[68,3]=(x^2 + 8*x -192)*(x^4 -10*x^3 -838*x^2 + 4744*x + 58440)*(x + 14)^2*(x + 12)^2*(x^2 + 6*x -34)^2*(x^2 + 6*x -612)^2*(x^3 -4*x^2 -798*x + 6228)^2*(x -10)^3*(x + 18)^3*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056)^3;
271T[68,5]=(x^2 + 20*x -732)*(x^4 + 88*x^3 -5580*x^2 -405408*x -3902976)*(x -54)^2*(x + 74)^2*(x^2 + 36*x -780)^2*(x^2 -32*x -4044)^2*(x^3 -144*x^2 + 4404*x -29376)^2*(x + 72)^3*(x + 16)^3*(x^4 -80*x^3 -7192*x^2 + 609280*x -10420784)^3;
272
273T[69,2]=(x^2 -116)*(x^3 + 8*x^2 -27*x -46)*(x^4 -4*x^3 -33*x^2 + 44*x + 12)*(x^4 -4*x^3 -69*x^2 + 188*x + 620)*(x^5 -8*x^4 -107*x^3 + 770*x^2 + 1740*x -6440)*(x + 6)^2*(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;
274T[69,3]=(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)*(x^6 + 20*x^5 + 504*x^4 + 9360*x^3 + 122472*x^2 + 1180980*x + 14348907)*(x -9)^10*(x + 9)^10;
275T[69,5]=(x^2 -94*x + 2180)*(x^3 + 56*x^2 -3496*x -195576)*(x^4 + 122*x^3 -1780*x^2 -343872*x + 6179904)*(x^4 -22*x^3 -6640*x^2 + 242392*x + 100144)*(x^5 -94*x^4 -9412*x^3 + 941728*x^2 + 7019776*x -1296820224)*(x -6)^2*(x^3 + 58*x^2 + 668*x -3504)^2*(x^6 -42*x^5 -13476*x^4 + 194264*x^3 + 47402544*x^2 + 631237728*x -10563094144)^2;
276
277T[70,2]=(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;
278T[70,3]=(x + 23)*(x + 17)*(x + 11)*(x -11)*(x + 9)*(x + 3)*(x^2 -5*x -276)*(x^2 -3*x -840)*(x + 26)^2*(x -1)^2*(x -24)^2*(x -6)^2*(x -8)^2*(x -10)^2*(x^2 -3*x -144)^2*(x^4 -14*x^3 -775*x^2 + 11976*x -1584)^2*(x^3 -26*x^2 -271*x + 6056)^2*(x + 14)^4*(x + 4)^4*(x^2 + 6*x -504)^4;
279T[70,5]=(x^2 -10*x + 3125)*(x^2 -84*x + 3125)*(x^2 + 56*x + 3125)^2*(x^4 + 18*x^3 + 4906*x^2 + 56250*x + 9765625)^2*(x + 25)^19*(x -25)^21;
280
281T[71,2]=(x^11 + 4*x^10 -229*x^9 -788*x^8 + 18068*x^7 + 49696*x^6 -601696*x^5 -1232384*x^4 + 7835392*x^3 + 11770752*x^2 -30810624*x -35873280)*(x^18 -4*x^17 -453*x^16 + 1684*x^15 + 83700*x^14 -280456*x^13 -8137672*x^12 + 23602333*x^11 + 447925840*x^10 -1067845361*x^9 -13961379576*x^8 + 25827311180*x^7 + 231812069152*x^6 -321278214304*x^5 -1762946666240*x^4 + 1999274783232*x^3 + 4189778491776*x^2 -4662261070848*x + 1095970392576);
282T[71,3]=(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)*(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);
283T[71,5]=(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)*(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);
284
285T[72,2]=(x^2 -6*x + 32)*(x + 4)^2*(x^2 + 6*x + 32)^2*(x -4)^3*(x )^41;
286T[72,3]=(x^2 -20*x + 243)*(x^2 + 12*x + 243)^2*(x + 9)^5*(x -9)^5*(x )^36;
287T[72,5]=(x + 94)*(x + 16)*(x + 38)*(x -16)*(x -34)*(x -74)*(x -94)^2*(x + 34)^2*(x -38)^2*(x + 54)^2*(x )^2*(x -66)^3*(x -96)^3*(x + 74)^3*(x + 96)^3*(x + 6)^4*(x + 66)^6*(x -54)^6*(x -6)^8;
288
289T[73,2]=(x^16 -15*x^15 -287*x^14 + 4794*x^13 + 29931*x^12 -592531*x^11 -1313757*x^10 + 35545616*x^9 + 16441656*x^8 -1061811472*x^7 + 352292464*x^6 + 14629213632*x^5 -8784459456*x^4 -85637849088*x^3 + 53172705792*x^2 + 157042492416*x -52773866496)*(x^14 + 17*x^13 -175*x^12 -4054*x^11 + 5499*x^10 + 346033*x^9 + 436551*x^8 -13433188*x^7 -30653564*x^6 + 244352288*x^5 + 637191744*x^4 -1799189696*x^3 -4391823040*x^2 + 2490033408*x + 3820219136);
290T[73,3]=(x^16 -37*x^15 -1990*x^14 + 80759*x^13 + 1290362*x^12 -62566921*x^11 -300253079*x^10 + 21784897692*x^9 + 8774824272*x^8 -3676075672032*x^7 + 5410672050816*x^6 + 299208067822224*x^5 -687953674856016*x^4 -10957792844280384*x^3 + 30193195198146048*x^2 + 138586748558635008*x -421282354914459648)*(x^14 + 35*x^13 -1414*x^12 -53517*x^11 + 805530*x^10 + 32496563*x^9 -241922511*x^8 -9827980056*x^7 + 42516981296*x^6 + 1500106475432*x^5 -4427807813048*x^4 -99420245754624*x^3 + 211614705265680*x^2 + 1497441412102896*x + 845332378517520);
291T[73,5]=(x^16 -121*x^15 -26010*x^14 + 3287155*x^13 + 268906830*x^12 -35808079621*x^11 -1404538013939*x^10 + 199935506338680*x^9 + 3814025000143160*x^8 -602354595883085600*x^7 -4596267535052566456*x^6 + 931307277962984706396*x^5 + 178953879635178345780*x^4 -601458639827774364853440*x^3 + 3077770691500038992980320*x^2 + 50622707376758734095802176*x -163867754164806896471775936)*(x^14 + 129*x^13 -13678*x^12 -2277651*x^11 + 19456758*x^10 + 11115490485*x^9 + 138686961973*x^8 -20614157783464*x^7 -299471629414736*x^6 + 18154337597406612*x^5 + 144365608625584944*x^4 -7441240691846768016*x^3 + 10344058584139205724*x^2 + 653905748296533614780*x -1956569691234694676236);
292
293T[74,2]=(x^14 + 8*x^13 + 91*x^12 + 630*x^11 + 4550*x^10 + 26840*x^9 + 159336*x^8 + 842208*x^7 + 5098752*x^6 + 27484160*x^5 + 149094400*x^4 + 660602880*x^3 + 3053453312*x^2 + 8589934592*x + 34359738368)*(x^16 -12*x^15 + 123*x^14 -934*x^13 + 7558*x^12 -49060*x^11 + 333400*x^10 -2025616*x^9 + 12547200*x^8 -64819712*x^7 + 341401600*x^6 -1607598080*x^5 + 7925137408*x^4 -31339839488*x^3 + 132070244352*x^2 -412316860416*x + 1099511627776)*(x -4)^7*(x + 4)^8;
294T[74,3]=(x + 15)*(x -7)*(x^3 + 8*x^2 -429*x + 468)*(x^5 -19*x^4 -726*x^3 + 12131*x^2 + 62745*x -876276)*(x^5 -19*x^4 -726*x^3 + 7999*x^2 + 144509*x + 342156)*(x^7 + 47*x^6 + 108*x^5 -18352*x^4 -194360*x^3 -161292*x^2 + 1144131*x + 175797)^2*(x^8 -25*x^7 -1008*x^6 + 25744*x^5 + 270344*x^4 -7803948*x^3 -7306389*x^2 + 670550373*x -2024485812)^2;
295T[74,5]=(x -4)*(x + 84)*(x^5 + 67*x^4 -14001*x^3 -778070*x^2 + 48381376*x + 1898889504)*(x^5 -95*x^4 -3105*x^3 + 357718*x^2 + 1101124*x -285948168)*(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*(x + 14)^3;
296
297T[75,2]=(x + 4)*(x + 7)*(x -4)*(x -6)*(x^2 -x -102)*(x^2 + 9*x -2)*(x^2 + 6*x -22)*(x^2 -9*x -2)*(x^2 -6*x -22)*(x -7)^2*(x^2 + x -102)^2*(x^2 + 5*x -54)^2*(x^2 -5*x -54)^2*(x^2 -44)^2*(x + 6)^3*(x + 2)^4*(x -2)^5;
298T[75,3]=(x^2 -4*x + 243)*(x^4 + 20*x^3 + 345*x^2 + 4860*x + 59049)*(x^4 -20*x^3 + 345*x^2 -4860*x + 59049)*(x^4 + 90*x^2 + 59049)*(x^2 + 4*x + 243)^2*(x -9)^13*(x + 9)^13;
299T[75,5]=(x^2 -6*x + 3125)*(x + 25)^2*(x -25)^4*(x )^36;
300
301T[76,2]=(x^2 + 2*x + 32)*(x^2 + 6*x + 32)*(x^8 -9*x^7 + 56*x^6 -90*x^5 + 396*x^4 -2880*x^3 + 57344*x^2 -294912*x + 1048576)*(x^4 + 7*x^3 + 32*x^2 + 224*x + 1024)*(x + 4)^3*(x -4)^4*(x )^24;
302T[76,3]=(x^3 + 8*x^2 -427*x + 1570)*(x^4 -10*x^3 -875*x^2 + 5988*x + 123588)*(x + 6)^2*(x + 14)^2*(x + 12)^2*(x^2 -3*x -358)^2*(x^3 -13*x^2 -398*x + 5496)^2*(x + 1)^3*(x -4)^3*(x^2 + 7*x -386)^3*(x^4 -6*x^3 -891*x^2 + 3996*x + 23652)^3;
303T[76,5]=(x^3 + 9*x^2 -2436*x -28224)*(x^4 + 110*x^3 -6087*x^2 -809300*x -14782624)*(x + 45)^2*(x -31)^2*(x^2 + 45*x -2736)^2*(x^3 -81*x^2 + 534*x + 46696)^2*(x + 24)^3*(x^2 + 133*x + 3316)^3*(x^4 -90*x^3 -5631*x^2 + 427212*x -3709248)^3*(x -54)^5;
304
305T[77,2]=(x + 2)*(x^4 + 8*x^3 -27*x^2 -238*x -64)*(x^6 -4*x^5 -123*x^4 + 372*x^3 + 3610*x^2 -7080*x -27720)*(x^5 -10*x^4 -87*x^3 + 752*x^2 + 2092*x -9600)*(x^8 -4*x^7 -203*x^6 + 692*x^5 + 12302*x^4 -34712*x^3 -222832*x^2 + 507040*x -36960)*(x + 10)^2*(x + 4)^2*(x^2 -9*x + 6)^2*(x^3 -90*x + 188)^2;
306T[77,3]=(x + 6)*(x^5 -17*x^4 -930*x^3 + 9184*x^2 + 183976*x + 273456)*(x^6 + 12*x^5 -783*x^4 -3682*x^3 + 190164*x^2 -96576*x -9720576)*(x^4 + 43*x^3 + 418*x^2 -876*x -3600)*(x^8 -42*x^7 -359*x^6 + 31064*x^5 -186216*x^4 -4166624*x^3 + 41144512*x^2 + 45561792*x -969823296)*(x + 14)^2*(x + 15)^2*(x^2 + 6*x -504)^2*(x^3 -34*x^2 + 217*x + 1212)^2;
307T[77,5]=(x + 74)*(x^4 -57*x^3 -4754*x^2 -38508*x + 334288)*(x^5 -119*x^4 -1472*x^3 + 413768*x^2 -3708304*x + 6698576)*(x^6 + 62*x^5 -6583*x^4 -213132*x^3 + 14464160*x^2 -16829800*x -2777378848)*(x^8 -50*x^7 -20459*x^6 + 1129340*x^5 + 113569556*x^4 -6895228480*x^3 -82451435664*x^2 + 6333520789440*x -42721153061184)*(x + 56)^2*(x + 19)^2*(x^2 + 18*x -1344)^2*(x^3 -24*x^2 -4371*x + 38954)^2;
308
309T[78,2]=(x^2 -2*x + 32)*(x^6 + 41*x^4 -78*x^3 + 1312*x^2 + 32768)*(x^8 -6*x^7 + 11*x^6 + 204*x^5 -1052*x^4 + 6528*x^3 + 11264*x^2 -196608*x + 1048576)*(x^4 + 4*x^3 + 12*x^2 + 128*x + 1024)*(x^2 + 6*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)^11*(x + 4)^11;
310T[78,3]=(x^2 + 243)*(x^4 -9*x^3 + 294*x^2 -2187*x + 59049)*(x^4 -9*x^3 -190*x^2 -2187*x + 59049)*(x^4 + 28*x^3 + 529*x^2 + 6804*x + 59049)^2*(x^6 -8*x^5 + 492*x^4 -1692*x^3 + 119556*x^2 -472392*x + 14348907)^2*(x + 9)^17*(x -9)^19;
311T[78,5]=(x -24)*(x -76)*(x -56)*(x + 88)*(x^2 -10*x -3216)*(x^2 -2*x -10824)*(x + 14)^2*(x + 74)^2*(x -4)^2*(x + 66)^2*(x^2 -73*x -578)^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 + 37*x -354)^2*(x -6)^4*(x^2 + 42*x -6359)^4*(x^3 -56*x^2 -4131*x + 73386)^4;
312
313T[79,2]=(x^19 -8*x^18 -448*x^17 + 3486*x^16 + 82287*x^15 -617983*x^14 -8013892*x^13 + 57525748*x^12 + 446259798*x^11 -3022319083*x^10 -14295447842*x^9 + 89652171408*x^8 + 253643157792*x^7 -1427717549936*x^6 -2327294872640*x^5 + 10943428391616*x^4 + 9932195324928*x^3 -30756303258112*x^2 -15244048157184*x -500161293312)*(x^14 + 8*x^13 -288*x^12 -2146*x^11 + 31567*x^10 + 212858*x^9 -1705344*x^8 -9993664*x^7 + 48505968*x^6 + 231774784*x^5 -707039936*x^4 -2479508992*x^3 + 4500710912*x^2 + 9341506048*x -7547945984);
314T[79,3]=(x^19 -17*x^18 -3283*x^17 + 50929*x^16 + 4457959*x^15 -59821301*x^14 -3271697909*x^13 + 34815377579*x^12 + 1418722973964*x^11 -10209733485462*x^10 -370353080665260*x^9 + 1217100943878912*x^8 + 55671726343538880*x^7 + 39288520891872576*x^6 -4106751258970416384*x^5 -18551901255494375808*x^4 + 75800533679985828096*x^3 + 797609068554624846336*x^2 + 2232219371530152840192*x + 2152563193483988852736)*(x^14 + 37*x^13 -1123*x^12 -46949*x^11 + 490247*x^10 + 22062961*x^9 -130498365*x^8 -4768316791*x^7 + 26961688780*x^6 + 460115067110*x^5 -3287604282884*x^4 -12713413364704*x^3 + 145054659741392*x^2 -274065317907456*x -86544037074240);
315T[79,5]=(x^19 -199*x^18 -19777*x^17 + 5963371*x^16 + 38240676*x^15 -69548232532*x^14 + 1766402984650*x^13 + 394923630107454*x^12 -17113391771405046*x^11 -1096301306721696674*x^10 + 65271008760442462828*x^9 + 1184739459225876280452*x^8 -110515533309038172060011*x^7 + 194646272854195376253985*x^6 + 68384651251234115958740399*x^5 -624686895827701800371056489*x^4 -8917675098441479849968486872*x^3 + 37404227894370899772187472808*x^2 + 284378356064383973502680359152*x -122396992133520107774824276176)*(x^14 + 201*x^13 + 12*x^12 -2087500*x^11 -73011477*x^10 + 7801546293*x^9 + 383181351723*x^8 -12408907757569*x^7 -774210883527710*x^6 + 7088446046955314*x^5 + 680112408358334981*x^4 + 665981843889345201*x^3 -227297943076279976418*x^2 -1066485441876532385940*x + 16305043209383401212888);
316
317T[80,2]=(x -4)*(x^2 -2*x + 32)*(x + 4)^2*(x )^49;
318T[80,3]=(x -18)*(x + 22)*(x -8)*(x + 24)*(x + 6)*(x -2)*(x -26)*(x -4)*(x^2 -12*x -480)*(x + 2)^2*(x + 18)^2*(x -12)^2*(x + 20)^2*(x + 8)^2*(x^2 + 12*x -480)^2*(x -22)^3*(x -24)^4*(x -6)^4*(x -20)^4*(x + 26)^4*(x + 4)^5*(x + 12)^6;
319T[80,5]=(x^2 + 74*x + 3125)^3*(x^2 -54*x + 3125)^4*(x -25)^20*(x + 25)^20;
320
321T[81,2]=(x^2 + 3*x -30)*(x^2 -3*x -30)*(x^4 + 3*x^3 -84*x^2 -72*x + 792)*(x^4 -3*x^3 -84*x^2 + 72*x + 792)*(x^6 -171*x^4 + 7128*x^2 -432)*(x^2 -54)^2*(x^2 -9*x -18)^2*(x^2 + 9*x -18)^2*(x )^2*(x -6)^3*(x + 6)^4;
322T[81,3]=(x -9)*(x )^38;
323T[81,5]=(x^2 + 30*x -291)*(x^2 -30*x -291)*(x^4 + 78*x^3 -4035*x^2 -305568*x -2174976)*(x^4 -78*x^3 -4035*x^2 + 305568*x -2174976)*(x^6 -17505*x^4 + 89413227*x^2 -137232679923)*(x^2 -72*x -2529)^2*(x^2 -3456)^2*(x^2 + 72*x -2529)^2*(x )^2*(x + 6)^3*(x -6)^4;
324
325T[82,2]=(x^12 + 5*x^11 + 101*x^10 + 455*x^9 + 5330*x^8 + 20628*x^7 + 198632*x^6 + 660096*x^5 + 5457920*x^4 + 14909440*x^3 + 105906176*x^2 + 167772160*x + 1073741824)*(x^20 -3*x^19 + 61*x^18 -225*x^17 + 2198*x^16 -5812*x^15 + 75544*x^14 -230832*x^13 + 3433760*x^12 -15728832*x^11 + 123353984*x^10 -503322624*x^9 + 3516170240*x^8 -7563902976*x^7 + 79213625344*x^6 -195018358784*x^5 + 2360084529152*x^4 -7730941132800*x^3 + 67070209294336*x^2 -105553116266496*x + 1125899906842624)*(x + 4)^9*(x -4)^9;
326T[82,3]=(x^3 + 28*x^2 + 58*x -870)*(x^4 -8*x^3 -546*x^2 + 198*x + 44820)*(x^5 + 10*x^4 -690*x^3 + 374*x^2 + 78806*x -336648)*(x^6 -8*x^5 -1112*x^4 + 8014*x^3 + 328638*x^2 -2028528*x -11507724)*(x^6 + 8*x^5 -808*x^4 -7544*x^3 + 86724*x^2 + 532944*x + 588816)^2*(x^10 -28*x^9 -1420*x^8 + 41914*x^7 + 602232*x^6 -20750848*x^5 -55881972*x^4 + 3766392832*x^3 -9532372368*x^2 -159062811912*x + 485481280320)^2;
327T[82,5]=(x^3 + 26*x^2 -856*x -4556)*(x^4 -12*x^3 -10580*x^2 + 53892*x + 16204824)*(x^5 + 38*x^4 -2160*x^3 -81508*x^2 + 94036*x + 8264472)*(x^6 -124*x^5 -7624*x^4 + 1161388*x^3 -6754820*x^2 -1036792864*x + 6506199168)*(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;
328
329T[83,2]=(x^14 + 13*x^13 -206*x^12 -2930*x^11 + 14613*x^10 + 241129*x^9 -434072*x^8 -9166756*x^7 + 5169696*x^6 + 165952464*x^5 -31500096*x^4 -1311185984*x^3 + 554141696*x^2 + 3763473408*x -3234172928)*(x^20 -7*x^19 -482*x^18 + 3222*x^17 + 96413*x^16 -611573*x^15 -10357312*x^14 + 62031174*x^13 + 643576984*x^12 -3632844340*x^11 -23063653536*x^10 + 123737608568*x^9 + 441402917360*x^8 -2352695677760*x^7 -3524082097408*x^6 + 22741057160704*x^5 -1493216794112*x^4 -84954902788096*x^3 + 102906737258496*x^2 -24800780777472*x -7882835431424);
330T[83,3]=(x^14 + 17*x^13 -1896*x^12 -24687*x^11 + 1403031*x^10 + 11898567*x^9 -531815947*x^8 -2058562241*x^7 + 106691266440*x^6 -25407711468*x^5 -9935461545993*x^4 + 34282740267972*x^3 + 244560015032364*x^2 -1282440839612256*x + 980051407160400)*(x^20 -37*x^19 -2814*x^18 + 109340*x^17 + 3213413*x^16 -132182253*x^15 -1945902793*x^14 + 84704869975*x^13 + 697993391303*x^12 -31211359209291*x^11 -161941361018736*x^10 + 6704978399777618*x^9 + 26520371347537727*x^8 -808182829009267063*x^7 -3048779628281410401*x^6 + 48797503316486941923*x^5 + 198337103287045634988*x^4 -1132551189346467638052*x^3 -4434256992370346255232*x^2 + 8936490292690322076048*x + 29043901528249136386752);
331T[83,5]=(x^14 + 162*x^13 -3979*x^12 -1730974*x^11 -44845791*x^10 + 5515204930*x^9 + 285744503300*x^8 -3137878428556*x^7 -451950861203128*x^6 -7087639990632256*x^5 + 108316600088097184*x^4 + 3810266405233525568*x^3 + 26215515083649938048*x^2 -73827022077991348224*x -946181846692972879360)*(x^20 -88*x^19 -38307*x^18 + 3246276*x^17 + 612635881*x^16 -49154782484*x^15 -5342128758372*x^14 + 394265016943952*x^13 + 27822971055608864*x^12 -1799462490032992416*x^11 -88802504644290696528*x^10 + 4641115803817650075008*x^9 + 169532990433371345202752*x^8 -6252836680088022064769536*x^7 -175213549844699296713766656*x^6 + 3702294264756165446667500544*x^5 + 75120274800228419072891031552*x^4 -957168886751988033858782748672*x^3 -13165964454241957593147583381504*x^2 + 82896136299204340622955070652416*x + 850690444627306891292265624584192);
332
333T[84,2]=(x^2 -5*x + 32)*(x^2 -10*x + 32)*(x^2 -x + 32)*(x^2 + 10*x + 32)^2*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)^2*(x^2 + 6*x + 32)^3*(x -4)^6*(x + 4)^6*(x )^38;
334T[84,3]=(x^2 + 2*x + 243)*(x^2 -26*x + 243)*(x^2 -8*x + 243)^2*(x^2 -10*x + 243)^2*(x^2 + 12*x + 243)^2*(x^2 + 14*x + 243)^3*(x^4 + 6*x^3 -18*x^2 + 1458*x + 59049)^3*(x + 9)^19*(x -9)^21;
335T[84,5]=(x^2 + 6*x -5560)*(x^2 -78*x -3024)*(x + 54)^2*(x -24)^2*(x -76)^2*(x -16)^2*(x + 96)^2*(x + 72)^2*(x -44)^2*(x -26)^2*(x -94)^3*(x + 106)^3*(x -78)^3*(x -54)^4*(x + 34)^4*(x -84)^4*(x + 66)^4*(x -10)^4*(x + 56)^6*(x^2 + 18*x -1344)^6*(x -6)^7;
336
337T[85,2]=(x^5 + 7*x^4 -77*x^3 -483*x^2 + 956*x + 5996)*(x^7 -9*x^6 -141*x^5 + 1085*x^4 + 5688*x^3 -30504*x^2 -40848*x -9072)*(x^8 + 3*x^7 -217*x^6 -529*x^5 + 14270*x^4 + 26568*x^3 -322656*x^2 -436112*x + 1913952)*(x^8 -5*x^7 -209*x^6 + 919*x^5 + 13290*x^4 -46296*x^3 -253248*x^2 + 498672*x + 834336)*(x -1)^2*(x -2)^2*(x + 6)^2*(x^4 -3*x^3 -94*x^2 + 284*x + 968)^2;
338T[85,3]=(x^5 + 36*x^4 -225*x^3 -13360*x^2 -11652*x + 729360)*(x^8 + 36*x^7 -599*x^6 -25776*x^5 + 113166*x^4 + 4833776*x^3 -16622356*x^2 -145055424*x -187727400)*(x^7 -18*x^6 -1101*x^5 + 14638*x^4 + 297888*x^3 -1646352*x^2 -11168496*x + 25647840)*(x^8 -18*x^7 -1343*x^6 + 21438*x^5 + 595510*x^4 -8092056*x^3 -99138060*x^2 + 974313144*x + 4504847400)*(x -10)^2*(x + 18)^2*(x + 4)^2*(x^4 -28*x^3 -128*x^2 + 4848*x + 13056)^2;
339T[85,5]=(x^2 + 72*x + 3125)*(x^8 -80*x^7 + 5308*x^6 -140720*x^5 + 3222966*x^4 -439750000*x^3 + 51835937500*x^2 -2441406250000*x + 95367431640625)*(x^2 + 16*x + 3125)*(x + 25)^15*(x -25)^15;
340
341T[86,2]=(x^16 + 12*x^15 + 139*x^14 + 1186*x^13 + 9566*x^12 + 66832*x^11 + 428248*x^10 + 2656128*x^9 + 15088832*x^8 + 84996096*x^7 + 438525952*x^6 + 2189950976*x^5 + 10030678016*x^4 + 39795556352*x^3 + 149250113536*x^2 + 412316860416*x + 1099511627776)*(x^20 -8*x^19 + 91*x^18 -570*x^17 + 4178*x^16 -19212*x^15 + 126300*x^14 -603512*x^13 + 4655376*x^12 -24295776*x^11 + 168985984*x^10 -777464832*x^9 + 4767105024*x^8 -19775881216*x^7 + 132435148800*x^6 -644647747584*x^5 + 4486093340672*x^4 -19585050869760*x^3 + 100055558127616*x^2 -281474976710656*x + 1125899906842624)*(x + 4)^8*(x -4)^9;
342T[86,3]=(x^3 + 28*x^2 + 58*x -60)*(x^3 -8*x^2 -222*x + 2016)*(x^6 -17*x^5 -959*x^4 + 12726*x^3 + 259262*x^2 -2318640*x -13209120)*(x^5 + x^4 -699*x^3 -4138*x^2 + 59378*x + 353292)*(x^8 + 26*x^7 -907*x^6 -22242*x^5 + 184435*x^4 + 3627880*x^3 -14906374*x^2 -156321960*x + 504223128)^2*(x^10 -28*x^9 -1501*x^8 + 45584*x^7 + 644833*x^6 -23720286*x^5 -53106408*x^4 + 4269535704*x^3 -7322683500*x^2 -209262527352*x + 316744901280)^2;
343T[86,5]=(x^3 + 14*x^2 -2546*x + 24456)*(x^3 + 14*x^2 -866*x + 5276)*(x^6 -61*x^5 -10609*x^4 + 603802*x^3 + 11481850*x^2 -127930456*x -1890167832)*(x^5 -61*x^4 -11187*x^3 + 709272*x^2 + 28282446*x -1834706376)*(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;
344
345T[87,2]=(x^5 + 9*x^4 -66*x^3 -640*x^2 -120*x + 4240)*(x^8 + x^7 -202*x^6 -95*x^5 + 11197*x^4 -3302*x^3 -131536*x^2 + 83896*x + 157200)*(x^4 + 3*x^3 -84*x^2 + 72*x + 520)*(x^7 -13*x^6 -100*x^5 + 1559*x^4 + 1345*x^3 -44764*x^2 + 53432*x -7576)*(x + 6)^2*(x^4 -69*x^2 + 168*x + 196)^2*(x^7 -4*x^6 -181*x^5 + 346*x^4 + 10616*x^3 + 2416*x^2 -186896*x -351200)^2;
346T[87,3]=(x^8 + 28*x^7 + 1018*x^6 + 18096*x^5 + 378315*x^4 + 4397328*x^3 + 60111882*x^2 + 401769396*x + 3486784401)*(x^14 -26*x^13 + 686*x^12 -11852*x^11 + 287083*x^10 -5198968*x^9 + 84343785*x^8 -1212120360*x^7 + 20495539755*x^6 -306993861432*x^5 + 4119327268281*x^4 -41325368720652*x^3 + 581239986077898*x^2 -5353169434460874*x + 50031545098999707)*(x -9)^13*(x + 9)^13;
347T[87,5]=(x^5 -14*x^4 -2787*x^3 -20592*x^2 + 782616*x + 3472936)*(x^8 -14*x^7 -20211*x^6 + 24124*x^5 + 130086240*x^4 + 2101644704*x^3 -265717168736*x^2 -9742122740864*x -85376290887744)*(x^4 + 136*x^3 + 4069*x^2 -11118*x -532012)*(x^7 -64*x^6 -14883*x^5 + 897662*x^4 + 49592988*x^3 -2309133032*x^2 -54390007856*x + 1134714673184)*(x -6)^2*(x^4 + 68*x^3 -4850*x^2 -129708*x + 5894489)^2*(x^7 -32*x^6 -13189*x^5 + 456170*x^4 + 54141495*x^3 -1882536724*x^2 -71107482707*x + 2378174390186)^2;
348
349T[88,2]=(x^2 + 4*x + 32)*(x^6 + 6*x^4 + 188*x^3 + 192*x^2 + 32768)*(x + 4)^2*(x -4)^3*(x )^43;
350T[88,3]=(x^2 + 14*x -99)*(x^3 -14*x^2 -339*x + 1260)*(x^4 + 5*x^3 -769*x^2 -6945*x + 49500)*(x^4 + 13*x^3 -497*x^2 + 423*x + 17916)*(x -20)^2*(x -7)^2*(x^2 + 6*x -487)^2*(x + 29)^3*(x + 21)^3*(x -1)^3*(x^2 -29*x + 12)^3*(x + 12)^4*(x + 15)^4*(x^3 -34*x^2 + 217*x + 1212)^4;
351T[88,5]=(x^4 -93*x^3 -9499*x^2 + 1046553*x -15828962)*(x^4 + 19*x^3 -5147*x^2 + 97353*x + 513918)*(x^3 -56*x^2 -5171*x -12374)*(x + 74)^2*(x + 79)^2*(x -9)^2*(x^2 + 22*x -1863)^2*(x + 31)^3*(x -81)^3*(x + 51)^3*(x^2 + 13*x -4914)^3*(x -54)^4*(x + 19)^4*(x^3 -24*x^2 -4371*x + 38954)^4;
352
353T[89,2]=(x^15 + 9*x^14 -263*x^13 -2279*x^12 + 26267*x^11 + 218227*x^10 -1253317*x^9 -10016501*x^8 + 29718352*x^7 + 233432192*x^6 -322360864*x^5 -2662468896*x^4 + 1091917824*x^3 + 12620934912*x^2 + 876705536*x -15657808128)*(x^21 -7*x^20 -519*x^19 + 3481*x^18 + 112923*x^17 -723449*x^16 -13365177*x^15 + 81652227*x^14 + 932472012*x^13 -5440434164*x^12 -38699318608*x^11 + 217337122096*x^10 + 907950622656*x^9 -5020563376960*x^8 -10306998315776*x^7 + 60133999898880*x^6 + 32316524774400*x^5 -283936385465344*x^4 + 57449842249728*x^3 + 264515274706944*x^2 + 75614119542784*x + 5236722450432);
354T[89,3]=(x^15 + 9*x^14 -2161*x^13 -11649*x^12 + 1814406*x^11 + 3254166*x^10 -738130198*x^9 + 997535754*x^8 + 145885643953*x^7 -529117088487*x^6 -12416929826409*x^5 + 58099577781159*x^4 + 402217275969864*x^3 -2043136456333272*x^2 -4282107335717904*x + 22421938618693872)*(x^21 -27*x^20 -3295*x^19 + 85203*x^18 + 4624851*x^17 -111427229*x^16 -3643181327*x^15 + 78580117833*x^14 + 1779898983417*x^13 -32595214997013*x^12 -557802965375049*x^11 + 8166019591777865*x^10 + 110725487735325433*x^9 -1232912162563493235*x^8 -13175495606958584009*x^7 + 110751836527421273379*x^6 + 855660157385779064250*x^5 -5647353229262975332032*x^4 -24885691312120270432128*x^3 + 138326722215020096580144*x^2 + 160194007543473494587296*x -681166170984474990605952);
355T[89,5]=(x^15 + 39*x^14 -20177*x^13 -568503*x^12 + 151402266*x^11 + 2995512574*x^10 -531720179410*x^9 -6945991308990*x^8 + 921994868944485*x^7 + 6607854231272915*x^6 -793408045545957021*x^5 -1486076344309283819*x^4 + 306721751328651307952*x^3 -811601194265350567272*x^2 -36148077134808437498096*x + 173714987921388456943056)*(x^21 -61*x^20 -45311*x^19 + 2543423*x^18 + 869017013*x^17 -43462754301*x^16 -9228831350315*x^15 + 392068333355723*x^14 + 59492347097651075*x^13 -1990452106020027235*x^12 -239284199177840941229*x^11 + 5517832948413919164557*x^10 + 590370635798980704419111*x^9 -6968490605615196467901983*x^8 -828501660314083590473811353*x^7 + 614911822554663956199417401*x^6 + 533901330919582447230299876960*x^5 + 4587077118202085558178543812412*x^4 -58172869217510912384997469472720*x^3 -634876430450306668393134904274320*x^2 -1639728755317382656743526915343232*x -1117589932656120241947044303335616);
356
357T[90,2]=(x^2 + 7*x + 32)*(x^4 + 5*x^3 + 34*x^2 + 160*x + 1024)*(x^4 -5*x^3 + 34*x^2 -160*x + 1024)*(x^4 -x^3 -38*x^2 -32*x + 1024)*(x^2 -6*x + 32)^2*(x^2 -7*x + 32)^2*(x^4 + x^3 -38*x^2 + 32*x + 1024)^2*(x^2 + 2*x + 32)^3*(x^2 + 6*x + 32)^4*(x^2 -2*x + 32)^4*(x + 4)^15*(x -4)^15;
358T[90,3]=(x^2 -24*x + 243)*(x^2 + 26*x + 243)*(x^2 -6*x + 243)*(x^2 + 4*x + 243)^2*(x + 9)^8*(x -9)^8*(x )^56;
359T[90,5]=(x^2 -66*x + 3125)*(x^2 -96*x + 3125)*(x^2 + 96*x + 3125)*(x^2 + 6*x + 3125)^2*(x^2 + 66*x + 3125)^2*(x^2 -6*x + 3125)^4*(x + 25)^29*(x -25)^31;
360
361T[91,2]=(x^7 + 2*x^6 -161*x^5 -60*x^4 + 7126*x^3 -3276*x^2 -87696*x + 145120)*(x^8 + x^7 -250*x^6 -210*x^5 + 20076*x^4 + 12252*x^3 -544784*x^2 -65648*x + 2393792)*(x^9 -10*x^8 -127*x^7 + 1262*x^6 + 4346*x^5 -43796*x^4 -22764*x^3 + 268928*x^2 + 385264*x + 130432)*(x^6 + 13*x^5 -36*x^4 -870*x^3 -1292*x^2 + 10656*x + 26208)*(x + 10)^2*(x^2 -9*x + 6)^2*(x^2 + 5*x + 2)^2*(x^3 -7*x^2 -84*x + 444)^2;
362T[91,3]=(x^7 -28*x^6 -603*x^5 + 19516*x^4 + 22754*x^3 -2895216*x^2 + 15597120*x -17611776)*(x^8 -28*x^7 -1045*x^6 + 29036*x^5 + 259264*x^4 -6632208*x^3 -17730612*x^2 + 117258192*x + 30844800)*(x^9 -10*x^8 -1593*x^7 + 11602*x^6 + 830604*x^5 -2861280*x^4 -167500548*x^3 + 284472*x^2 + 8288967168*x -7364649600)*(x^6 + 26*x^5 -451*x^4 -8826*x^3 + 37306*x^2 + 282880*x -905800)*(x + 14)^2*(x^2 + 6*x -504)^2*(x^2 + 28*x + 43)^2*(x^3 -8*x^2 -237*x + 2196)^2;
363T[91,5]=(x^7 + 62*x^6 -5128*x^5 -124000*x^4 + 9672755*x^3 -125625186*x^2 + 275653368*x + 51928128)*(x^8 -219*x^7 + 9228*x^6 + 864822*x^5 -61327119*x^4 -608614815*x^3 + 83224888942*x^2 -464620759848*x -5235380906112)*(x^9 -89*x^8 -19834*x^7 + 1554658*x^6 + 144453377*x^5 -8601178569*x^4 -474914075764*x^3 + 14293661019036*x^2 + 631769002062768*x + 3271936360400512)*(x^6 + 130*x^5 -142*x^4 -448122*x^3 -6414047*x^2 + 305130372*x + 4661471808)*(x + 56)^2*(x^2 + 18*x -1344)^2*(x^2 + 42*x -6359)^2*(x^3 -56*x^2 -4131*x + 73386)^2;
364
365T[92,2]=(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)*(x^6 + 4*x^5 + 48*x^4 + 248*x^3 + 1536*x^2 + 4096*x + 32768)*(x -4)^5*(x + 4)^5*(x )^29;
366T[92,3]=(x^4 + 7*x^3 -581*x^2 + 1773*x + 6000)*(x^4 -29*x^3 -229*x^2 + 8585*x -14328)*(x + 12)^2*(x^2 + 22*x + 49)^2*(x^2 -6*x -211)^2*(x^3 -6*x^2 -579*x + 3312)^2*(x^3 -14*x^2 -375*x + 4860)^2*(x^3 + 20*x^2 -225*x -360)^3*(x^6 -16*x^5 -982*x^4 + 9620*x^3 + 256213*x^2 -966996*x -2937024)^3;
367T[92,5]=(x^4 -14*x^3 -9748*x^2 + 70784*x + 22729152)*(x^4 + 36*x^3 -2536*x^2 -50456*x + 1967840)*(x -54)^2*(x^2 + 68*x -3844)^2*(x^2 + 68*x -4344)^2*(x^3 -82*x^2 -152*x + 26256)^2*(x^3 -32*x^2 -3692*x -2784)^2*(x^3 + 58*x^2 + 668*x -3504)^3*(x^6 -42*x^5 -13476*x^4 + 194264*x^3 + 47402544*x^2 + 631237728*x -10563094144)^3;
368
369T[93,2]=(x^4 + 3*x^3 -84*x^2 + 48*x + 712)*(x^7 + 3*x^6 -158*x^5 -457*x^4 + 6539*x^3 + 20440*x^2 -63016*x -197080)*(x^5 -9*x^4 -66*x^3 + 696*x^2 -1160*x -336)*(x^8 -9*x^7 -184*x^6 + 1479*x^5 + 10247*x^4 -65022*x^3 -172008*x^2 + 414408*x + 896048)*(x + 6)^2*(x^8 -7*x^7 -178*x^6 + 903*x^5 + 10963*x^4 -30550*x^3 -240688*x^2 + 115128*x + 420336)^2*(x^5 + 9*x^4 -66*x^3 -416*x^2 + 1064*x + 1360)^2;
370T[93,3]=(x^16 + 2*x^15 + 218*x^14 + 1146*x^13 + 96408*x^12 + 371466*x^11 + 26507574*x^10 + 96536610*x^9 + 5479022574*x^8 + 23458396230*x^7 + 1565245737126*x^6 + 5330131087662*x^5 + 336153910531608*x^4 + 970992746421678*x^3 + 44884266796633482*x^2 + 100063090197999414*x + 12157665459056928801)*(x^10 + 20*x^9 + 1069*x^8 + 16628*x^7 + 482608*x^6 + 5751632*x^5 + 117273744*x^4 + 981866772*x^3 + 15338981583*x^2 + 69735688020*x + 847288609443)*(x + 9)^12*(x -9)^14;
371T[93,5]=(x^4 + 42*x^3 -5360*x^2 -37842*x + 1569559)*(x^7 + 64*x^6 -7541*x^5 -339334*x^4 + 18748951*x^3 + 254782828*x^2 -16611582851*x + 153372771002)*(x^5 -36*x^4 -9392*x^3 + 199662*x^2 + 14911591*x + 63288174)*(x^8 -58*x^7 -20805*x^6 + 965072*x^5 + 142983851*x^4 -4482271650*x^3 -337663011211*x^2 + 4107786449836*x + 94443128064964)*(x -6)^2*(x^8 -128*x^7 -5962*x^6 + 1063324*x^5 + 2175545*x^4 -1905236564*x^3 -12826806008*x^2 + 596790808368*x + 6147184721424)^2*(x^5 + 72*x^4 -5143*x^3 -293838*x^2 + 5275812*x -9306904)^2;
372
373T[94,2]=(x^14 + 9*x^13 + 126*x^12 + 904*x^11 + 8400*x^10 + 48928*x^9 + 364384*x^8 + 1871936*x^7 + 11660288*x^6 + 50102272*x^5 + 275251200*x^4 + 947912704*x^3 + 4227858432*x^2 + 9663676416*x + 34359738368)*(x^24 -7*x^23 + 110*x^22 -728*x^21 + 6412*x^20 -32781*x^19 + 230883*x^18 -935534*x^17 + 5731992*x^16 -16157232*x^15 + 107872864*x^14 -195380576*x^13 + 2037969600*x^12 -6252178432*x^11 + 110461812736*x^10 -529440178176*x^9 + 6010429243392*x^8 -31391311986688*x^7 + 247908733550592*x^6 -1126346583441408*x^5 + 7050068557299712*x^4 -25614222880669696*x^3 + 123848989752688640*x^2 -252201579132747776*x + 1152921504606846976)*(x + 4)^10*(x -4)^10;
374T[94,3]=(x^4 + 22*x^3 -267*x^2 -1516*x + 13235)*(x^4 -6*x^3 -491*x^2 + 5388*x -13073)*(x^6 -14*x^5 -1059*x^4 + 9600*x^3 + 310707*x^2 -1495044*x -26253072)*(x^6 -6*x^5 -1139*x^4 -2004*x^3 + 332919*x^2 + 3401784*x + 9263160)*(x^7 + 20*x^6 -715*x^5 -12968*x^4 + 115857*x^3 + 1973232*x^2 + 6101784*x + 4157568)^2*(x^12 -16*x^11 -2002*x^10 + 31152*x^9 + 1447247*x^8 -21607484*x^7 -460022506*x^6 + 6400830756*x^5 + 63201766217*x^4 -750685160220*x^3 -3617688882312*x^2 + 28884606819552*x + 56777642260992)^2;
375T[94,5]=(x^4 + 68*x^3 -1580*x^2 -56448*x + 91584)*(x^4 + 68*x^3 -4300*x^2 -141408*x + 521264)*(x^6 -32*x^5 -18598*x^4 + 483968*x^3 + 101257432*x^2 -1751834016*x -135012227040)*(x^6 -82*x^5 -10176*x^4 + 849512*x^3 + 10756272*x^2 -865601280*x -12530979072)*(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;
376
377T[95,2]=(x + 7)*(x^6 -5*x^5 -110*x^4 + 400*x^3 + 3232*x^2 -6160*x -28576)*(x^5 + 7*x^4 -96*x^3 -592*x^2 + 960*x + 6000)*(x^9 -4*x^8 -218*x^7 + 824*x^6 + 13865*x^5 -47038*x^4 -243768*x^3 + 794368*x^2 + 491120*x -1048800)*(x^9 -9*x^8 -208*x^7 + 1774*x^6 + 14087*x^5 -111953*x^4 -324772*x^3 + 2207232*x^2 + 1247408*x -51344)*(x + 6)^2*(x + 2)^2*(x -2)^2*(x^2 + 7*x -32)^2*(x^4 -9*x^3 -72*x^2 + 774*x -1140)^2;
378T[95,3]=(x + 11)*(x^5 + 16*x^4 -659*x^3 -4614*x^2 + 130140*x -472500)*(x^6 + 20*x^5 -511*x^4 -8930*x^3 + 47940*x^2 + 1039680*x + 3057804)*(x^9 -9*x^8 -1724*x^7 + 12388*x^6 + 1042712*x^5 -4897624*x^4 -261924448*x^3 + 344441664*x^2 + 23297469840*x + 66947094000)*(x^9 -38*x^8 -895*x^7 + 38804*x^6 + 281164*x^5 -12996256*x^4 -43164656*x^3 + 1413812928*x^2 + 4081756464*x + 2807745984)*(x + 1)^2*(x + 4)^2*(x -4)^2*(x^2 + 7*x -386)^2*(x^4 -6*x^3 -891*x^2 + 3996*x + 23652)^2;
379T[95,5]=(x^2 + 24*x + 3125)*(x^2 -54*x + 3125)*(x^4 + 133*x^3 + 9566*x^2 + 415625*x + 9765625)*(x^8 -90*x^7 + 6869*x^6 -416538*x^5 + 19690752*x^4 -1301681250*x^3 + 67080078125*x^2 -2746582031250*x + 95367431640625)*(x + 25)^16*(x -25)^16;
380
381T[96,2]=(x -4)*(x^2 + 6*x + 32)*(x )^69;
382T[96,3]=(x^2 + 243)*(x^2 + 8*x + 243)*(x^2 -8*x + 243)*(x^4 -282*x^2 + 59049)*(x^2 + 20*x + 243)^2*(x^2 -12*x + 243)^2*(x^2 -20*x + 243)^3*(x^2 + 12*x + 243)^4*(x + 9)^20*(x -9)^20;
383T[96,5]=(x + 86)^2*(x -26)^2*(x + 82)^2*(x + 14)^2*(x^2 -36*x -7612)^2*(x -46)^4*(x -14)^4*(x -94)^5*(x + 34)^5*(x -38)^5*(x + 66)^7*(x -6)^8*(x + 74)^10*(x -54)^12;
384
385T[97,2]=(x^21 -19*x^20 -339*x^19 + 8054*x^18 + 38114*x^17 -1408235*x^16 -556111*x^15 + 130596548*x^14 -230334765*x^13 -6853027964*x^12 + 21082941244*x^11 + 199509637568*x^10 -801640248400*x^9 -2888431421376*x^8 + 14068459233600*x^7 + 15863082259840*x^6 -94622157191168*x^5 -40682926736896*x^4 + 177552321933312*x^3 + 185748854147072*x^2 + 62042100424704*x + 6576037257216)*(x^19 + 21*x^18 -219*x^17 -6866*x^16 + 7938*x^15 + 904841*x^14 + 1676469*x^13 -61720340*x^12 -203451517*x^11 + 2328251160*x^10 + 9599915936*x^9 -48134615616*x^8 -224912308496*x^7 + 504584117888*x^6 + 2612791010688*x^5 -2045983323776*x^4 -12887077186560*x^3 -691502965760*x^2 + 13430927974400*x + 233693952000);
386T[97,3]=(x^21 -36*x^20 -2821*x^19 + 103467*x^18 + 3381144*x^17 -124445648*x^16 -2275195091*x^15 + 81428241284*x^14 + 959177479005*x^13 -31503267292777*x^12 -266793655426441*x^11 + 7313350957556974*x^10 + 49239137653786854*x^9 -980654399644713669*x^8 -5669890269858514980*x^7 + 67576655713325887449*x^6 + 341204958733723875621*x^5 -1734665738757100812243*x^4 -6442503658969106219472*x^3 + 3791798379858476635488*x^2 + 10231553340100615471488*x + 1567521281004906403584)*(x^19 + 36*x^18 -2173*x^17 -78857*x^16 + 1950064*x^15 + 68780800*x^14 -953693499*x^13 -30680272948*x^12 + 280554941533*x^11 + 7535465788811*x^10 -50895157753465*x^9 -1037222287080802*x^8 + 5599075390780982*x^7 + 77897494969629079*x^6 -355820035681704108*x^5 -2910408219431673147*x^4 + 11973725449237710621*x^3 + 39408832441470133593*x^2 -167116298556223694808*x + 114011838044440744320);
387T[97,5]=(x^21 -161*x^20 -30317*x^19 + 5606038*x^18 + 361855317*x^17 -81871195688*x^16 -2082097886620*x^15 + 651119893623487*x^14 + 5236057468663547*x^13 -3066139128222881017*x^12 -271606277739144174*x^11 + 8726886347678677904037*x^10 -18783826349929103670468*x^9 -14775922081831213168529668*x^8 + 66848073841117117937503*x^7 + 14167124498507314477352639753*x^6 + 76523355551503457165730750970*x^5 -6750958384682979482962100562327*x^4 -80525615443751030578830285287592*x^3 + 965847554296282846986586799666472*x^2 + 20647539058944598996549336972046208*x + 91964210536305484945387844335447824)*(x^19 + 89*x^18 -26299*x^17 -2139124*x^16 + 289200107*x^15 + 20199193326*x^14 -1746437754686*x^13 -95416074665069*x^12 + 6345617747231151*x^11 + 237669561293573797*x^10 -14076150457829975436*x^9 -300385868512457914699*x^8 + 18179464316157385238944*x^7 + 160264162410659575594964*x^6 -12283357578544479875352097*x^5 -11048672431853421995459461*x^4 + 3608200952769574184039337976*x^3 -7838937476783891612292341211*x^2 -369953774360689293728384821536*x + 1096923583130571582947271219888);
388
389T[98,2]=(x^2 -11*x + 32)*(x^2 + 2*x + 32)^2*(x^4 + 5*x^3 + 42*x^2 + 160*x + 1024)^2*(x^4 -2*x^3 + 28*x^2 -64*x + 1024)^2*(x^2 + 10*x + 32)^3*(x^4 -9*x^3 + 70*x^2 -288*x + 1024)^3*(x -4)^11*(x + 4)^11;
390T[98,3]=(x + 10)*(x + 8)*(x^2 -184)*(x^2 -14*x -267)*(x^2 + 14*x -471)*(x^2 -72)*(x^2 -14*x -471)*(x^2 + 14*x -267)*(x^4 -842*x^2 + 138384)*(x -10)^2*(x -14)^2*(x -8)^2*(x^2 + 8*x -21)^2*(x^2 -8*x -21)^2*(x^2 -6*x -504)^2*(x^2 -624)^2*(x^4 -596*x^2 + 23716)^2*(x )^2*(x + 14)^4*(x^2 + 6*x -504)^4;
391T[98,5]=(x + 10)*(x + 84)*(x^2 -9016)*(x^2 + 70*x -3831)*(x^2 -70*x -3831)*(x^2 -98)*(x^4 -8362*x^2 + 8737936)*(x -10)^2*(x -56)^2*(x + 21)^2*(x -84)^2*(x -21)^2*(x^2 + 38*x -3339)^2*(x^2 -18*x -1344)^2*(x^2 -38*x -3339)^2*(x^2 -5616)^2*(x^4 -7632*x^2 + 11669056)^2*(x )^2*(x + 56)^4*(x^2 + 18*x -1344)^4;
392
393T[99,2]=(x + 1)*(x -2)*(x -4)*(x^2 + x -78)*(x^2 -5*x -38)*(x^2 + 13*x + 34)*(x^3 -90*x -188)*(x^5 -4*x^4 -123*x^3 + 206*x^2 + 3388*x -1848)*(x^5 + 4*x^4 -123*x^3 -206*x^2 + 3388*x + 1848)*(x -1)^2*(x + 2)^2*(x -6)^2*(x^2 -x -78)^2*(x^2 + 5*x -38)^2*(x^2 -13*x + 34)^2*(x + 4)^3*(x^3 -90*x + 188)^3*(x + 6)^4;
394T[99,3]=(x^2 + 15*x + 243)*(x^6 -34*x^5 + 946*x^4 -15312*x^3 + 229878*x^2 -2007666*x + 14348907)*(x + 9)^5*(x -9)^5*(x )^38;
395T[99,5]=(x -19)*(x + 46)*(x -92)*(x^2 + 58*x + 16)*(x^2 + 58*x -3584)*(x^2 -38*x -7464)*(x^3 + 24*x^2 -4371*x -38954)*(x^5 -100*x^4 -3000*x^3 + 301760*x^2 + 2506240*x -31916544)*(x^5 + 100*x^4 -3000*x^3 -301760*x^2 + 2506240*x + 31916544)*(x + 92)^2*(x -46)^2*(x + 6)^2*(x^2 -58*x -3584)^2*(x^2 -58*x + 16)^2*(x^2 + 38*x -7464)^2*(x + 19)^3*(x^3 -24*x^2 -4371*x + 38954)^3*(x -6)^4;
396
397T[100,2]=(x^2 + 2*x + 32)*(x^4 + 5*x^3 + 10*x^2 + 160*x + 1024)*(x^4 -5*x