Sharedwww / tables / ap_s4new_1-100.gpOpen in CoCalc
Author: William A. Stein
1\\ ap_s4new_1-100.gp
2\\ This is a table of eigenforms for the action of
3\\ the Hecke operators on S_4^{new}(Gamma_0(N)).
4\\ William Stein ([email protected]), October, 1998.
5\\ 1<=N<=100
6\\ E=matrix(100,?,i,j,0);
7\\ E[N,ith eigenform]=[[a_2,...,a_97],  f(x)]
8\\ where the a_i are defined over Q[x]/f(x).
9
10E[5,1]=[[-4,2,-5,6,32,-38,26,100,-78,-50,-108,266,22,442,-514,2,500,-518,126,412,-878,600,282,-150,386], x-1];
11E[6,1]=[[-2,-3,6,-16,12,38,-126,20,168,30,-88,254,42,-52,-96,198,-660,-538,884,792,218,-520,-492,810,1154], x-1];
12E[7,1]=[[-1,-2,16,-7,-8,28,54,-110,48,-110,12,-246,182,128,324,-162,810,-488,244,-768,-702,440,-1302,730,294], x-1];
13E[8,1]=[[0,-4,-2,24,-44,22,50,44,-56,198,-160,-162,-198,52,528,-242,-668,550,188,728,154,-656,236,714,-478], x-1];
14E[9,1]=[[0,0,0,20,0,-70,0,56,0,0,308,110,0,-520,0,0,0,182,-880,0,1190,884,0,0,-1330], x-1];
15E[10,1]=[[2,-8,5,-4,12,-58,66,-100,132,-90,152,-34,-438,32,-204,222,420,902,-1024,432,362,-160,72,810,1106], x-1];
16E[11,1]=[[x,-4*x+3,8*x-7,-4*x+14,-11,-20*x+60,12*x-74,60*x-24,-36*x-13,-56*x+128,28*x-45,-8*x+35,-4*x+272,-16*x-14,-120*x-16,-56*x-190,-132*x+449,184*x+236,-20*x+397,76*x-415,-468*x+268,656*x-498,120*x+114,-328*x-593,144*x+953], x^2-2*x-2];
17E[12,1]=[[0,3,-18,8,36,-10,18,-100,72,-234,-16,-226,90,452,432,414,-684,422,332,-360,26,512,-1188,-630,-1054], x-1];
18E[13,1]=[[-5,-7,-7,-13,-26,13,77,-126,-96,-82,196,-131,336,-201,-105,-432,-294,-56,478,9,98,1304,-308,-1190,70], x-1];
19E[13,2]=[[x,-3*x+4,x-2,11*x-10,12*x+34,-13,-17*x+18,-32*x-26,-12*x+104,96*x-70,-34*x-26,5*x+102,22*x-126,143*x+72,-121*x+278,30*x-74,124*x-246,-190*x-434,-232*x+150,-231*x+50,260*x+98,40*x-524,-182*x+1070,-388*x-166,508*x-718], x^2-x-4];
20E[14,1]=[[-2,8,-14,-7,-28,18,74,80,-112,190,72,-346,162,-412,24,318,-200,-198,-716,392,538,240,-1072,810,1354], x-1];
21E[14,2]=[[2,-2,-12,7,48,56,-114,2,-120,-54,236,146,126,-376,-12,174,138,380,-484,576,-1150,776,378,-390,-1330], x-1];
22E[15,1]=[[1,3,5,-24,52,22,-14,-20,-168,230,-288,-34,122,-188,256,-338,100,742,-84,-328,-38,-240,1212,330,866], x-1];
23E[15,2]=[[3,-3,-5,20,-24,74,54,-124,-120,-78,200,-70,330,92,-24,450,24,-322,-196,-288,-430,-520,156,1026,-286], x-1];
24E[16,1]=[[0,4,-2,-24,44,22,50,-44,56,198,160,-162,-198,-52,-528,-242,668,550,-188,-728,154,656,-236,714,-478], x-1];
25E[17,1]=[[-3,-8,6,-28,-24,-58,17,116,-60,30,-172,-58,-342,-148,288,318,252,110,-484,-708,362,-484,756,-774,-382], x-1];
26E[17,2]=[[x,-1/4*x^2-7/4*x+6,-1/2*x^2-3/2*x+6,5/4*x^2+11/4*x-14,-9/4*x^2+17/4*x+26,-7/2*x^2-5/2*x+68,-17,-7/2*x^2+23/2*x+80,43/4*x^2-27/4*x-126,-7/2*x^2-53/2*x-86,-55/4*x^2-9/4*x+302,39/2*x^2+61/2*x-210,28*x^2+32*x-566,-29/2*x^2-83/2*x+436,x^2-45*x+212,-27*x^2+35*x+530,65/2*x^2-65/2*x-308,-7/2*x^2-149/2*x+54,27*x^2+105*x-140,-257/4*x^2-31/4*x+918,16*x+274,87/4*x^2-807/4*x-486,-105/2*x^2-151/2*x+84,83/2*x^2-303/2*x-684,-65*x^2-55*x+990], x^3-x^2-24*x+32];
27E[18,1]=[[2,0,-6,-16,-12,38,126,20,-168,-30,-88,254,-42,-52,96,-198,660,-538,884,-792,218,-520,492,-810,1154], x-1];
28E[19,1]=[[-3,-5,-12,11,-54,11,-93,19,183,-249,56,-250,240,-196,-168,435,195,-358,-961,-246,353,-34,234,-168,758], x-1];
29E[19,2]=[[x,-1/3*x^2-4/3*x+20/3,1/3*x^2-8/3*x+7/3,-4/3*x^2+8/3*x+17/3,-1/3*x^2+8/3*x+23/3,1/3*x^2+16/3*x+34/3,-26/3*x^2+40/3*x+379/3,-19,-25/3*x^2+8/3*x+266/3,55/3*x^2-20/3*x-428/3,44/3*x^2-124/3*x-676/3,-76/3*x^2+20/3*x+830/3,-14/3*x^2+4/3*x+1162/3,27*x^2+56*x-651,17*x^2-16*x-217,-19/3*x^2+68/3*x+1034/3,119/3*x^2-40/3*x-1480/3,-133/3*x^2-64/3*x+3047/3,-25*x^2+4*x+302,-12*x^2-40*x+502,56*x^2-120*x-511,-214/3*x^2+404/3*x+3188/3,70/3*x^2-320/3*x-1496/3,52/3*x^2+556/3*x-1508/3,-106/3*x^2-376/3*x-484/3], x^3-3*x^2-18*x+38];
30E[20,1]=[[0,4,5,-16,-60,86,18,44,48,-186,176,254,186,-100,168,-498,-252,-58,-1036,168,506,272,948,-1014,-766], x-1];
31E[21,1]=[[4,-3,-4,-7,62,-62,84,100,-42,-10,-48,-246,-248,68,324,258,120,622,904,-678,-642,740,468,200,-1266], x-1];
32E[21,2]=[[-3,-3,-18,7,-36,-34,42,-124,0,102,-160,398,-318,-268,240,-498,-132,398,92,-720,-502,-1024,-204,354,-286], x-1];
33E[21,3]=[[x,3,-2*x,7,-10*x-18,12*x+26,2*x,24*x+68,34*x+54,-24*x-162,-72*x-88,36*x-70,30*x-180,48*x+260,-68*x-108,-4*x-558,116*x+576,-72*x-322,-108*x-88,30*x+522,-12*x+518,108*x-124,-96*x+828,142*x+396,-276*x-10], x^2+3*x-12];
34E[22,1]=[[-2,4,14,-8,-11,-50,130,-108,-96,142,40,382,-118,220,520,238,-852,190,-12,-112,-6,304,820,202,-1406], x-1];
35E[22,2]=[[2,1,-3,-10,11,-16,42,116,189,-120,-163,-409,468,110,144,90,-453,20,-97,-465,848,-742,438,-273,761], x-1];
36E[22,3]=[[-2,-7,-19,14,11,-72,-46,-20,-107,120,117,-201,-228,-242,-96,458,435,-668,439,-1113,-72,-70,358,895,409], x-1];
37E[23,1]=[[-2,-5,-6,-8,34,-57,-80,-70,23,245,103,-298,95,88,-357,-414,-408,822,926,335,-899,-1322,-36,-460,-964], x-1];
38E[23,2]=[[x,-1/11*x^3-5/11*x^2+x+71/11,10/11*x^3+6/11*x^2-20*x+148/11,-20/11*x^3-12/11*x^2+34*x-142/11,-12/11*x^3+28/11*x^2+30*x-600/11,x^3+5*x^2-21*x-19,14/11*x^3+26/11*x^2-12*x+106/11,-8/11*x^3-128/11*x^2+16*x+1778/11,-23,1/11*x^3-127/11*x^2-51*x+1997/11,-65/11*x^3-17/11*x^2+133*x-1545/11,222/11*x^3+186/11*x^2-380*x+1860/11,63/11*x^3+7/11*x^2-137*x+807/11,98/11*x^3-126/11*x^2-182*x+3404/11,-181/11*x^3+19/11*x^2+385*x-5629/11,106/11*x^3+90/11*x^2-306*x+702/11,-108/11*x^3-276/11*x^2+184*x-1396/11,106/11*x^3+90/11*x^2-150*x+2550/11,-68/11*x^3-428/11*x^2+162*x+5488/11,47/11*x^3+587/11*x^2+85*x-8837/11,257/11*x^3-123/11*x^2-579*x+10925/11,-46/11*x^3+298/11*x^2+10*x-6590/11,-310/11*x^3+122/11*x^2+592*x-6854/11,-82/11*x^3-410/11*x^2+242*x+9804/11,-526/11*x^3-562/11*x^2+1184*x-362/11], x^4-2*x^3-24*x^2+61*x+2];
39E[24,1]=[[0,3,14,-24,-28,-74,82,92,8,-138,80,30,282,4,240,-130,596,-218,-436,856,-998,-32,-1508,-246,866], x-1];
40E[25,1]=[[1,7,0,6,-43,-28,91,-35,162,160,42,-314,-203,92,196,82,-280,-518,141,412,-763,510,777,-945,1246], x-1];
41E[25,2]=[[4,-2,0,-6,32,38,-26,100,78,-50,-108,-266,22,-442,514,-2,500,-518,-126,412,878,600,-282,-150,-386], x-1];
42E[25,3]=[[-1,-7,0,-6,-43,28,-91,-35,-162,160,42,314,-203,-92,-196,-82,-280,-518,-141,412,763,510,-777,-945,-1246], x-1];
43E[26,1]=[[2,4,-18,20,-48,13,66,-16,168,6,20,254,-390,-124,-468,558,-96,-826,-160,-420,362,776,0,1626,-1294], x-1];
44E[26,2]=[[2,-1,17,-35,2,13,-19,94,-72,246,-100,-11,-280,241,137,-232,-386,64,-670,55,-838,1016,420,-934,-1154], x-1];
45E[26,3]=[[-2,3,11,19,-38,-13,-51,90,-52,-190,292,-441,312,373,-41,468,530,592,-206,-863,-322,-460,528,870,-346], x-1];
46E[27,1]=[[3,0,15,-25,-15,20,72,2,114,30,101,-430,-30,110,-330,621,-660,-376,-250,-360,785,488,489,-450,-1105], x-1];
47E[27,2]=[[-3,0,-15,-25,15,20,-72,2,-114,-30,101,-430,30,110,330,-621,660,-376,-250,360,785,488,-489,450,-1105], x-1];
48E[27,3]=[[x,0,-4*x,11,4*x,29,-12*x,29,20*x,64*x,-268,83,-64*x,-232,-92*x,72*x,68*x,767,-511,168*x,137,-475,136*x,-60*x,821], x^2-18];
49E[28,1]=[[0,4,6,7,-12,-82,-30,68,216,246,-112,110,-246,-172,192,558,540,110,140,-840,-550,-208,516,-1398,1586], x-1];
50E[28,2]=[[0,-10,-8,-7,-40,-12,-58,26,-64,-62,252,26,6,416,-396,-450,274,-576,-476,-448,-158,-936,530,-390,214], x-1];
51E[29,1]=[[x,-3*x-8,4*x-1,10*x+2,-37*x-50,-26*x-39,18*x+48,32*x-78,48*x+74,29,-63*x-210,-56*x+100,138*x+158,171*x+10,-207*x-272,-122*x+379,248*x-202,-178*x-652,484*x+644,-34*x-364,-640*x-316,-341*x-212,64*x+670,522*x+902,-578*x-566], x^2+2*x-1];
52E[29,2]=[[x,1/8*x^4+1/4*x^3-33/8*x^2-15/4*x+25,-11/16*x^4-5/4*x^3+315/16*x^2+16*x-85,3/8*x^4+x^3-83/8*x^2-37/2*x+56,-x^4-13/4*x^3+29*x^2+217/4*x-153,25/16*x^4+17/4*x^3-649/16*x^2-125/2*x+169,9/8*x^4+x^3-265/8*x^2-7/2*x+150,-5/4*x^4-5/2*x^3+141/4*x^2+55/2*x-112,-35/8*x^4-17/2*x^3+1075/8*x^2+140*x-650,-29,-5/4*x^4-3/4*x^3+173/4*x^2+107/4*x-147,49/8*x^4+17/2*x^3-1569/8*x^2-149*x+1080,-29/4*x^4-33/2*x^3+869/4*x^2+527/2*x-1332,29/4*x^4+47/4*x^3-813/4*x^2-423/4*x+795,-35/8*x^4-27/4*x^3+883/8*x^2-107/4*x-287,23/16*x^4+3/4*x^3-551/16*x^2-101/2*x-49,59/8*x^4+31/2*x^3-1579/8*x^2-259*x+874,69/8*x^4+9*x^3-1893/8*x^2-11/2*x+966,-57/4*x^4-11*x^3+1705/4*x^2+104*x-1560,-91/4*x^4-67/2*x^3+2491/4*x^2+733/2*x-2506,-7/8*x^4+13/2*x^3+183/8*x^2-79*x-336,221/8*x^4+291/4*x^3-6381/8*x^2-4481/4*x+4015,-127/8*x^4-53/2*x^3+3823/8*x^2+476*x-2174,-61/2*x^4-147/2*x^3+1729/2*x^2+2243/2*x-3872,83/4*x^4+71/2*x^3-2299/4*x^2-905/2*x+2644], x^5-33*x^3+28*x^2+192*x-256];
53E[30,1]=[[2,3,-5,-4,-48,2,-114,140,72,210,272,-334,-198,-268,216,-78,240,302,596,-768,-478,-640,-348,210,-1534], x-1];
54E[30,2]=[[-2,3,5,32,-60,-34,42,-76,0,6,-232,134,234,-412,-360,222,660,-490,812,120,746,152,-804,-678,194], x-1];
55E[31,1]=[[x,-2*x-6,3*x-5,5*x+3,6*x+2,-20*x-18,-8*x-62,13*x+7,-54*x-130,-62*x-312,31,156*x+406,93*x-59,188*x+580,16*x+296,-106*x-292,-49*x-427,16*x+226,-240*x-388,-229*x-731,124*x-610,132*x-236,130*x+1054,222*x+764,247*x+1299], x^2+5*x+2];
56E[31,2]=[[x,5/104*x^4+1/26*x^3-109/52*x^2-59/104*x+867/52,-1/4*x^4+15/2*x^2-5/4*x-65/2,-1/13*x^4+7/13*x^3+15/13*x^2-126/13*x+77/13,93/104*x^4-23/26*x^3-1237/52*x^2+941/104*x+5747/52,-63/104*x^4-23/26*x^3+1103/52*x^2+2033/104*x-7097/52,-51/52*x^4+21/13*x^3+883/26*x^2-1291/52*x-4725/26,8/13*x^4-43/13*x^3-237/13*x^2+813/13*x+1035/13,3/13*x^4+18/13*x^3-240/13*x^2-389/13*x+3058/13,-81/104*x^4-37/26*x^3+1433/52*x^2+5199/104*x-4623/52,-31,-633/104*x^4+71/26*x^3+9369/52*x^2+647/104*x-51335/52,391/52*x^4+8/13*x^3-6033/26*x^2-3085/52*x+33859/26,439/104*x^4-89/26*x^3-6055/52*x^2-3641/104*x+26889/52,-45/13*x^4-62/13*x^3+1572/13*x^2+1545/13*x-11446/13,-131/104*x^4-151/26*x^3+1067/52*x^2+13485/104*x+6363/52,-123/52*x^4-152/13*x^3+1709/26*x^2+16417/52*x-11131/26,-271/104*x^4+289/26*x^3+2767/52*x^2-28127/104*x+4343/52,38/13*x^4+124/13*x^3-1220/13*x^2-1634/13*x+1208/13,35/13*x^4+171/13*x^3-889/13*x^2-5262/13*x+5235/13,-99/13*x^4+212/13*x^3+3006/13*x^2-4271/13*x-14048/13,609/52*x^4-159/13*x^3-7369/26*x^2+12553/52*x+13363/26,375/104*x^4+179/26*x^3-4847/52*x^2-22521/104*x+34969/52,-193/13*x^4+246/13*x^3+5248/13*x^2-1633/13*x-14532/13,-413/52*x^4+518/13*x^3+4391/26*x^2-31849/52*x-4893/26], x^5-3*x^4-30*x^3+79*x^2+167*x-386];
57E[32,1]=[[0,-8,-10,-16,40,-50,-30,-40,-48,-34,-320,310,410,-152,416,-410,200,30,-776,-400,-630,1120,-552,-326,-110], x-1];
58E[32,2]=[[0,8,-10,16,-40,-50,-30,40,48,-34,320,310,410,152,-416,-410,-200,30,776,400,-630,-1120,552,-326,-110], x-1];
59E[32,3]=[[0,0,22,0,0,-18,-94,0,0,-130,0,214,-230,0,0,518,0,830,0,0,1098,0,0,-1670,594], x-1];
60E[33,1]=[[-5,3,-14,-32,-11,-38,-2,72,68,-54,-152,174,94,-528,-340,-438,20,570,-460,-1092,562,-16,372,-966,-526], x-1];
61E[33,2]=[[-1,-3,-4,-26,11,-32,74,-60,-182,-90,-8,-66,422,408,-506,348,-200,132,-1036,762,-542,-550,-132,570,14], x-1];
62E[33,3]=[[x,-3,-2*x-6,-4*x+14,-11,2*x+14,-14*x+60,-2*x+26,-10*x+72,-6*x-96,8*x+176,52*x-190,-14*x-384,-26*x+206,74*x+96,-54*x-234,-100*x-36,34*x-406,-96*x-340,54*x+288,-28*x+662,144*x+254,156*x-240,72*x-414,192*x-322], x^2-x-24];
63E[33,4]=[[x,3,-4*x+10,-2*x+2,11,8*x-42,30*x-28,-18*x-18,112,46*x+88,104*x-72,44*x-46,2*x-248,-86*x+10,-48*x-8,-128*x+22,196,-52*x-526,152*x+388,184*x+136,-252*x-170,-74*x-78,-324*x+336,8*x+482,420*x-802], x^2-x-8];
64E[34,1]=[[-2,-2,16,24,62,-62,-17,-20,-12,80,-208,-356,22,-312,24,-462,240,812,-216,732,178,700,-992,-390,-146], x-1];
65E[34,2]=[[-2,-2,-18,-10,-6,74,17,-88,-114,-90,-310,86,90,368,-384,-258,240,302,-964,-390,722,-898,912,1446,-1438], x-1];
66E[34,3]=[[2,-1/4*x+5/2,x,1/4*x-5/2,-15/4*x-21/2,7/2*x-25,17,-7/2*x-25,9/4*x+51/2,-5*x+204,23/4*x+109/2,-6*x+158,22*x+246,-9/2*x-319,-37*x-102,38*x+90,15/2*x+153,-12*x-142,32*x+332,39/4*x+1581/2,-39*x-160,109/4*x-1745/2,33/2*x-153,-5/2*x-993,20*x-70], x^2+4*x-204];
67E[35,1]=[[1,-8,-5,7,12,-78,-94,40,32,-50,-248,-434,402,-68,536,22,-560,-278,-164,672,82,-1000,-448,-870,1026], x-1];
68E[35,2]=[[x,-4*x+17,-5,-7,-32*x+121,4*x+9,44*x-201,44*x-158,-68*x+394,24*x-109,-180*x+660,-60*x+522,124*x-660,68*x-402,-132*x+353,128*x-540,-616,-108*x+600,-64*x+180,-952,-344*x+1714,248*x-485,600*x-2588,44*x-284,220*x+491], x^2-8*x+14];
69E[35,3]=[[x,-x^2+13,5,7,x^2+4*x-33,5*x^2-8*x-55,11*x^2+24*x-129,6*x^2-4*x-22,2*x^2-12*x-78,17*x^2+36*x-63,-4*x^2+20*x+176,-12*x^2+4*x+134,2*x^2+12*x+108,-34*x^2-4*x+410,-13*x^2-64*x-147,-22*x^2-152*x+156,48*x^2-128*x-780,-26*x^2-60*x+668,108*x^2+96*x-1168,-40*x^2+32*x+480,76*x^2+200*x-634,-89*x^2-172*x+581,8*x^2-152*x-804,-82*x^2-180*x+912,-65*x^2-152*x+683], x^3+3*x^2-14*x-30];
70E[36,1]=[[0,0,18,8,-36,-10,-18,-100,-72,234,-16,-226,-90,452,-432,-414,684,422,332,360,26,512,1188,630,-1054], x-1];
71E[37,1]=[[x,-1/8*x^3-9/8*x^2-13/4*x-11/4,13/8*x^3+85/8*x^2+25/4*x-93/4,-19/4*x^3-119/4*x^2-15/2*x+85/2,17/8*x^3+145/8*x^2+109/4*x-141/4,27/8*x^3+91/8*x^2-145/4*x-67/4,-2*x^3-10*x^2+12*x+6,8*x^3+32*x^2-76*x-82,-55/8*x^3-263/8*x^2+37/4*x-249/4,39/8*x^3+343/8*x^2+123/4*x-567/4,101/8*x^3+829/8*x^2+449/4*x-805/4,37,-27/8*x^3-435/8*x^2-639/4*x+471/4,-73/4*x^3-369/4*x^2+187/2*x+241/2,219/4*x^3+1471/4*x^2+487/2*x-1401/2,15*x^2+20*x-33,-201/4*x^3-1353/4*x^2-333/2*x+489/2,-161/8*x^3-1545/8*x^2-1757/4*x+929/4,405/8*x^3+2621/8*x^2+849/4*x-1765/4,-72*x^3-381*x^2+244*x+735,225/8*x^3+2001/8*x^2+1085/4*x-3613/4,-75/8*x^3-891/8*x^2-255/4*x+2123/4,-179/2*x^3-1233/2*x^2-363*x+366,273/2*x^3+1733/2*x^2+97*x-1683,-65*x^3-463*x^2-358*x+206], x^4+6*x^3-x^2-16*x+6];
72E[37,2]=[[x,-1/8*x^4+3/8*x^3+3/2*x^2-13/4*x+3,3/8*x^4-5/8*x^3-8*x^2+15/4*x+37,1/4*x^4-1/4*x^3-11/2*x^2-3/2*x+30,-7/8*x^4-3/8*x^3+49/2*x^2+29/4*x-115,-3/8*x^4-19/8*x^3+14*x^2+153/4*x-89,-3/2*x^4+7/2*x^3+39*x^2-39*x-194,3/2*x^4-3/2*x^3-25*x^2+11*x+38,27/8*x^4-117/8*x^3-46*x^2+607/4*x+101,17/8*x^4+49/8*x^3-84*x^2-339/4*x+603,15/8*x^4-49/8*x^3-23*x^2+299/4*x+61,-37,-15/8*x^4+85/8*x^3-41/2*x^2-355/4*x+519,19/4*x^4+43/4*x^3-170*x^2-233/2*x+936,1/4*x^4+23/4*x^3-59/2*x^2-203/2*x+326,-5*x^4-3/2*x^3+413/2*x^2+10*x-1454,-31/4*x^4+85/4*x^3+109*x^2-211/2*x-180,73/8*x^4-279/8*x^3-147*x^2+1197/4*x+155,-103/8*x^4+161/8*x^3+286*x^2-1379/4*x-971,1/2*x^4-13*x^3-21/2*x^2+361*x+304,-139/8*x^4+241/8*x^3+627/2*x^2-999/4*x-973,-9/8*x^4-33/8*x^3+71*x^2-245/4*x-383,-5*x^4-61/2*x^3+391/2*x^2+470*x-696,-5/2*x^4+37/2*x^3-3*x^2-9*x-354,-19/2*x^4+111/2*x^3+179*x^2-675*x-1370], x^5-4*x^4-21*x^3+74*x^2+102*x-296];
73E[38,1]=[[-2,-2,-9,-31,57,-52,69,19,-72,-150,32,-226,-258,-67,579,-432,-330,-13,-856,642,-487,-700,-12,-600,1424], x-1];
74E[38,2]=[[2,x,-3*x+9,-4*x+9,x-13,13*x-50,-2*x-31,19,13*x-22,-21*x+96,-44*x+304,-28*x+222,10*x-70,7*x+307,-71*x+125,17*x-686,25*x-256,111*x-343,-77*x+958,116*x-422,-184*x+1017,-58*x+936,194*x-1208,-188*x+728,102*x+188], x^2-9*x+2];
75E[38,3]=[[-2,x,-2*x+6,x+28,2*x+4,-7*x+10,-15*x-18,-19,13*x-84,29*x-54,-16*x,-16*x+198,6*x-398,48*x+124,40*x-120,9*x+194,-71*x+136,44*x-362,-43*x-448,22*x+192,-x+62,58*x+24,-6*x+1116,-10*x-430,-76*x-894], x^2-x-44];
76E[39,1]=[[x,-3,-2*x+14,-2*x+2,-12*x-10,-13,4*x+78,2*x+22,48*x-44,-24*x+226,-26*x+46,28*x-78,94*x+6,52*x-360,32*x-194,-120*x+38,40*x+30,136*x+178,-170*x-66,-84*x+298,76*x-526,-88*x-128,64*x-758,-190*x+670,-220*x-46], x^2-2*x-13];
77E[39,2]=[[x,3,-2*x^2+24,-6*x+14,6*x^2-2*x-72,13,8*x-54,16*x^2+6*x-154,-8*x^2-32*x+96,8*x^2-20*x-78,-4*x^2+54*x+110,-28*x^2+48*x+410,34*x^2+4*x-228,4*x^2+60*x-172,-42*x^2-54*x+504,-12*x^2+108*x-162,2*x^2-82*x-564,-28*x^2-24*x+410,-76*x^2-42*x+914,14*x^2+134*x-564,12*x^2+240*x-370,-24*x^2-48*x+296,-10*x^2-30*x-132,30*x^2-116*x+216,-4*x^2+48*x+1094], x^3-2*x^2-15*x+24];
78E[39,3]=[[0,-3,-12,2,-36,13,-78,74,-96,18,-214,-286,-384,524,300,558,576,74,38,-456,-682,704,-888,-1020,110], x-1];
79E[40,1]=[[0,10,-5,-18,-16,-6,-6,-124,42,142,-188,202,54,66,38,738,564,-262,-554,140,882,-1160,642,-854,-478], x-1];
80E[40,2]=[[0,4,5,16,36,-42,-110,-116,16,198,240,-258,442,-292,392,142,-348,-570,692,168,-134,784,564,1034,-382], x-1];
81E[40,3]=[[0,-6,-5,-34,16,58,-70,4,-134,-242,100,-438,-138,178,22,162,-268,250,422,-852,306,-456,434,-726,1378], x-1];
82E[41,1]=[[x,-1/2*x^2-3*x-5/2,2*x^2+5*x-11,-7/2*x^2-5*x+1/2,-13/2*x^2-13*x+31/2,15*x^2+48*x-37,-12*x^2-56*x+34,-35/2*x^2-59*x+5/2,34*x^2+82*x-116,-15*x^2-82*x-5,28*x^2+78*x-254,30*x^2+87*x-145,41,45*x^2-353,-37/2*x^2+47*x+611/2,-111*x^2-146*x+703,-30*x^2+66*x+240,23*x^2+334*x+213,-323/2*x^2-435*x+593/2,-51/2*x^2-197*x-831/2,-30*x^2-253*x+283,-39/2*x^2-59*x-1711/2,154*x^2+772*x-158,-12*x^2-110*x-516,-182*x^2-852*x+388], x^3+3*x^2-5*x-3];
83E[41,2]=[[x,-1/64*x^6+1/64*x^5+37/64*x^4-17/64*x^3-81/16*x^2+3/4*x+8,1/32*x^6+1/32*x^5-39/32*x^4-49/32*x^3+147/16*x^2+27/2*x+12,1/32*x^6+3/32*x^5-47/32*x^4-123/32*x^3+263/16*x^2+115/4*x-18,-1/16*x^6-3/16*x^5+11/4*x^4+135/16*x^3-459/16*x^2-305/4*x+46,-1/8*x^6-3/8*x^5+37/8*x^4+135/8*x^3-65/2*x^2-301/2*x-30,3/32*x^6+21/32*x^5-147/32*x^4-853/32*x^3+107/2*x^2+229*x-114,9/64*x^6-41/64*x^5-333/64*x^4+1369/64*x^3+857/16*x^2-629/4*x-128,9/32*x^6+7/32*x^5-333/32*x^4-487/32*x^3+665/8*x^2+166*x-20,-15/32*x^6-69/32*x^5+667/32*x^4+2773/32*x^3-1659/8*x^2-1383/2*x+214,1/16*x^6+11/16*x^5-43/16*x^4-379/16*x^3+101/8*x^2+157*x+220,-3/16*x^6+3/4*x^5+15/2*x^4-113/4*x^3-1157/16*x^2+521/2*x+176,-41,-1/32*x^6-39/32*x^5+97/32*x^4+1175/32*x^3-64*x^2-365/2*x+420,-21/64*x^6-19/64*x^5+745/64*x^4+739/64*x^3-861/16*x^2-203/4*x-380,-1/4*x^6+21/8*x^5+75/8*x^4-745/8*x^3-953/8*x^2+1373/2*x+342,27/32*x^6+69/32*x^5-999/32*x^4-3045/32*x^3+1547/8*x^2+802*x+388,3/8*x^6-11/8*x^5-95/8*x^4+303/8*x^3+167/2*x^2-477/2*x-176,1/16*x^6-5/16*x^5-1/4*x^4-31/16*x^3-285/16*x^2+921/4*x-38,13/64*x^6+155/64*x^5-401/64*x^4-6347/64*x^3-183/16*x^2+2785/4*x+564,11/8*x^6-27/16*x^5-861/16*x^4+611/16*x^3+7863/16*x^2-383/2*x-340,-111/64*x^6-153/64*x^5+4587/64*x^4+6793/64*x^3-10839/16*x^2-3033/4*x+1092,53/32*x^6+51/32*x^5-2245/32*x^4-2963/32*x^3+1427/2*x^2+858*x-792,-47/32*x^6-69/32*x^5+1787/32*x^4+3525/32*x^3-3371/8*x^2-1137*x-522,25/16*x^6+83/16*x^5-1033/16*x^4-3027/16*x^3+537*x^2+1286*x-154], x^7-x^6-49*x^5+33*x^4+720*x^3-320*x^2-3200*x+512];
84E[42,1]=[[2,3,2,-7,-8,-42,-2,-124,76,254,-72,398,462,212,-264,-162,-772,30,-764,-236,418,552,1036,30,-1190], x-1];
85E[42,2]=[[2,-3,18,7,-72,-34,6,92,-180,-114,56,-34,6,164,168,654,-492,-250,-124,36,1010,56,228,390,-70], x-1];
86E[43,1]=[[x,1/8*x^5-7/8*x^4-3/4*x^3+43/4*x^2-7/2*x-17/2,-1/8*x^5+7/8*x^4+7/4*x^3-59/4*x^2-17/2*x+101/2,-1/2*x^5+2*x^4+25/2*x^3-40*x^2-86*x+178,-2*x^4+11*x^3+14*x^2-120*x+91,x^5-3*x^4-33*x^3+80*x^2+256*x-435,-7/8*x^5+53/8*x^4-9/4*x^3-257/4*x^2+225/2*x-123/2,-7/8*x^5+37/8*x^4+55/4*x^3-273/4*x^2-103/2*x+295/2,7/8*x^5-21/8*x^4-139/4*x^3+401/4*x^2+567/2*x-1265/2,-7/8*x^5+81/8*x^4-99/4*x^3-349/4*x^2+681/2*x-201/2,27/8*x^5-185/8*x^4-71/4*x^3+1173/4*x^2-277/2*x-757/2,-25/8*x^5+211/8*x^4-175/4*x^3-727/4*x^2+1695/2*x-1715/2,-29/8*x^5+191/8*x^4+21/4*x^3-987/4*x^2+771/2*x+79/2,-43,21/8*x^5-239/8*x^4+295/4*x^3+955/4*x^2-2075/2*x+1643/2,17/4*x^5-171/4*x^4+205/2*x^3+495/2*x^2-1575*x+2070,-x^5+12*x^4-21*x^3-106*x^2+248*x-210,3/2*x^5-17*x^4+23/2*x^3+250*x^2-290*x-668,6*x^5-14*x^4-163*x^3+310*x^2+992*x-1947,-1/2*x^5+53/2*x^4-120*x^3-273*x^2+1394*x-368,-19/2*x^5+62*x^4+279/2*x^3-996*x^2-850*x+2952,-21/8*x^5+287/8*x^4-483/4*x^3-1115/4*x^2+3099/2*x-2267/2,-99/4*x^5+565/4*x^4+671/2*x^3-4025/2*x^2-1063*x+4152,-5/4*x^5+1/4*x^4-22*x^3+387/2*x^2+531*x-851,-123/8*x^5+329/8*x^4+2243/4*x^3-5413/4*x^2-9219/2*x+17269/2], x^6-6*x^5-17*x^4+124*x^3+26*x^2-608*x+540];
87E[43,2]=[[x,1/8*x^3+1/8*x^2-7/2*x-13/4,-9/8*x^3-33/8*x^2+19/2*x+5/4,5/2*x^3+21/2*x^2-16*x-29,-13/2*x^3-51/2*x^2+60*x+50,5/2*x^3+19/2*x^2-24*x-24,83/8*x^3+203/8*x^2-285/2*x-291/4,-63/8*x^3-231/8*x^2+113/2*x+283/4,-47/8*x^3-143/8*x^2+197/2*x+135/4,21/8*x^3+357/8*x^2+117/2*x-1041/4,229/8*x^3+861/8*x^2-515/2*x-837/4,-33/8*x^3-209/8*x^2+3/2*x-91/4,-207/8*x^3-735/8*x^2+317/2*x-97/4,43,147/8*x^3+931/8*x^2-177/2*x-1903/4,-97/4*x^3-493/4*x^2+141*x+191/2,-65/2*x^3-253/2*x^2+286*x+509,-15*x^3-65*x^2+186*x+344,49*x^3+138*x^2-638*x-191,113/2*x^3+297/2*x^2-646*x+45,-6*x^3-100*x^2-126*x+686,-243/8*x^3-475/8*x^2+1253/2*x+1671/4,-107/4*x^3-271/4*x^2+95*x-887/2,273/4*x^3+1065/4*x^2-345*x-1149/2,447/8*x^3+1807/8*x^2-1357/2*x-4895/4], x^4+4*x^3-9*x^2-14*x+2];
88E[44,1]=[[0,-5,-7,-26,-11,52,46,-96,27,16,-293,-29,-472,-110,-224,754,825,-548,-123,1001,-1020,526,-158,-1217,-263], x-1];
89E[44,2]=[[0,x,-x+10,-6*x+32,11,-2*x-2,-4*x-62,20*x-84,-23*x+44,42*x-258,x+196,-23*x+274,-18*x-78,26*x+108,72*x-480,20*x-290,51*x-240,38*x-402,95*x-264,-69*x+612,58*x-158,42*x+824,82*x-892,-179*x+1166,-217*x+1710], x^2-9*x-4];
90E[45,1]=[[-3,0,5,20,24,74,-54,-124,120,78,200,-70,-330,92,24,-450,-24,-322,-196,288,-430,-520,-156,-1026,-286], x-1];
91E[45,2]=[[-1,0,-5,-24,-52,22,14,-20,168,-230,-288,-34,-122,-188,-256,338,-100,742,-84,328,-38,-240,-1212,-330,866], x-1];
92E[45,3]=[[5,0,-5,-30,50,-20,-10,-44,120,-50,108,-40,400,280,-280,-610,50,-518,-180,700,-410,-516,660,-1500,-1630], x-1];
93E[45,4]=[[4,0,5,6,-32,-38,-26,100,78,50,-108,266,-22,442,514,-2,-500,-518,126,-412,-878,600,-282,150,386], x-1];
94E[45,5]=[[-5,0,5,-30,-50,-20,10,-44,-120,50,108,-40,-400,280,280,610,-50,-518,-180,-700,-410,-516,-660,1500,-1630], x-1];
95E[46,1]=[[-2,-1,-10,-12,-42,7,20,106,23,-227,67,74,-497,-88,215,314,176,-298,266,-981,-411,806,-952,-1332,-1328], x-1];
96E[46,2]=[[2,-9,-20,2,-52,43,-50,-74,-23,-7,-273,-4,123,-152,75,86,-444,262,764,-21,681,426,902,-1272,-342], x-1];
97E[46,3]=[[-2,x,-2/3*x+14/3,-2/3*x+8/3,8/3*x+112/3,-7/3*x-170/3,-8*x+58,-6*x+8,-23,-65/3*x-10/3,-17/3*x+92/3,70/3*x+62/3,7*x+246,-56/3*x-688/3,-31*x+92,124/3*x+422/3,32/3*x+1204/3,212/3*x+790/3,-16*x+112,91/3*x-1012/3,-29/3*x+26/3,74/3*x+928/3,178/3*x+680/3,94/3*x-682/3,164/3*x+3310/3], x^2+x-92];
98E[46,4]=[[2,x,-2*x+8,-4*x+12,-6,11*x-42,6*x-42,-20*x+22,23,33*x-78,69*x-112,-38*x+160,-29*x+230,82*x+34,25*x+392,38*x-32,-60*x+396,-58*x-444,-56*x-338,21*x+168,-3*x-634,-26*x+100,-22*x+934,-18*x+1050,274*x-866], x^2-3*x-16];
99E[47,1]=[[x,-1/2*x^2-5/2*x-1,x^2+x-10,-1/2*x^2+5/2*x-6,6*x^2+20*x-24,-2*x^2+2*x-4,-21/2*x^2-57/2*x+41,-5*x^2-17*x+12,-10*x^2-64*x+30,-34*x^2-98*x+104,48*x^2+152*x-212,-7/2*x^2-27/2*x-185,21*x^2+19*x-202,-22*x^2-158*x-134,47,161/2*x^2+503/2*x-206,-29/2*x^2+337/2*x+614,49/2*x^2-65/2*x-202,75*x^2+513*x-50,-135/2*x^2-35/2*x+873,-81*x^2-205*x-200,-7/2*x^2-467/2*x-87,-48*x^2-356*x+108,181/2*x^2+699/2*x-14,259/2*x^2+933/2*x-1222], x^3+5*x^2-2*x-12];
100E[47,2]=[[x,2575/589584*x^7-2899/147396*x^6-36941/294792*x^5+185647/294792*x^4+170587/294792*x^3-1116547/196528*x^2+1034621/294792*x+2162681/147396,-7159/1179168*x^7-3875/294792*x^6+162005/589584*x^5+298865/589584*x^4-1925443/589584*x^3-2464661/393056*x^2+4843039/589584*x+8400595/294792,6497/589584*x^7+871/147396*x^6-181243/294792*x^5-84199/294792*x^4+2884109/294792*x^3+983875/196528*x^2-12276365/294792*x-2947301/147396,4601/1179168*x^7-11963/294792*x^6-66235/589584*x^5+1380257/589584*x^4+14477/589584*x^3-13926085/393056*x^2+4573279/589584*x+32784739/294792,30049/1179168*x^7+14453/294792*x^6-648371/589584*x^5-1520951/589584*x^4+8291317/589584*x^3+14295539/393056*x^2-34162969/589584*x-30972757/294792,-7057/73698*x^7+13849/73698*x^6+146489/36849*x^5-193654/36849*x^4-1828903/36849*x^3+729377/24566*x^2+12942911/73698*x+1303457/36849,77725/1179168*x^7-25255/294792*x^6-1441319/589584*x^5-123323/589584*x^4+17112481/589584*x^3+18474855/393056*x^2-72361285/589584*x-70578241/294792,-6225/196528*x^7+18695/49132*x^6+41603/98264*x^5-1327449/98264*x^4+616043/98264*x^3+27906935/196528*x^2-5294063/98264*x-19632491/49132,-10723/1179168*x^7-29399/294792*x^6-310279/589584*x^5+3891269/589584*x^4+10992929/589584*x^3-36503129/393056*x^2-43339877/589584*x+59134063/294792,-2711/196528*x^7+29965/49132*x^6-40635/98264*x^5-2231215/98264*x^4+1567709/98264*x^3+43046465/196528*x^2-8241873/98264*x-14996597/49132,-2563/589584*x^7+41695/147396*x^6-372391/294792*x^5-2198755/294792*x^4+11641121/294792*x^3+5983559/196528*x^2-73875593/294792*x+26892595/147396,-83651/589584*x^7+27977/147396*x^6+1847113/294792*x^5-2133803/294792*x^4-26413391/294792*x^3+15831207/196528*x^2+130331099/294792*x-8724457/147396,-110795/1179168*x^7+119441/294792*x^6+2698801/589584*x^5-8915747/589584*x^4-40468775/589584*x^3+57419503/393056*x^2+176273507/589584*x-27633433/294792,-47,77111/589584*x^7-20471/147396*x^6-1918717/294792*x^5-296497/294792*x^4+32301275/294792*x^3+24670437/196528*x^2-166867643/294792*x-116935283/147396,5401/98264*x^7-8638/12283*x^6+11489/49132*x^5+1205153/49132*x^4-2335223/49132*x^3-22617559/98264*x^2+20707825/49132*x+5505779/24566,-9251/589584*x^7-60793/147396*x^6+673873/294792*x^5+5754469/294792*x^4-17503463/294792*x^3-56515401/196528*x^2+94756463/294792*x+184400975/147396,-344219/1179168*x^7-167623/294792*x^6+7999201/589584*x^5+15833485/589584*x^4-101065559/589584*x^3-131324417/393056*x^2+253677539/589584*x+246770951/294792,-67339/196528*x^7+70603/49132*x^6+1013137/98264*x^5-5012395/98264*x^4-5870615/98264*x^3+111480909/196528*x^2-26185577/98264*x-91054485/49132,-45409/147396*x^7-881/36849*x^6+1190135/73698*x^5+343151/73698*x^4-19482349/73698*x^3-3815579/49132*x^2+91277809/73698*x+16070107/36849,-3677/36849*x^7+79039/73698*x^6-40264/36849*x^5-1515643/36849*x^4+3497546/36849*x^3+6267087/12283*x^2-37807849/73698*x-76909813/36849,37063/589584*x^7-303061/147396*x^6+942139/294792*x^5+21620863/294792*x^4-34244045/294792*x^3-159802555/196528*x^2+170503937/294792*x+354899069/147396,-16291/36849*x^7+165287/73698*x^6+616063/36849*x^5-2541560/36849*x^4-6586205/36849*x^3+5968882/12283*x^2+25420813/73698*x-8580200/36849,30011/73698*x^7+45433/73698*x^6-691000/36849*x^5-894553/36849*x^4+8412140/36849*x^3+6900039/24566*x^2-32126695/73698*x-28061842/36849], x^8-3*x^7-50*x^6+124*x^5+844*x^4-1549*x^3-5393*x^2+5418*x+10316];
101E[48,1]=[[0,3,6,16,-12,38,-126,-20,-168,30,88,254,42,52,96,198,660,-538,-884,-792,218,520,492,810,1154], x-1];
102E[48,2]=[[0,-3,14,24,28,-74,82,-92,-8,-138,-80,30,282,-4,-240,-130,-596,-218,436,-856,-998,32,1508,-246,866], x-1];
103E[48,3]=[[0,-3,-18,-8,-36,-10,18,100,-72,-234,16,-226,90,-452,-432,414,684,422,-332,360,26,-512,1188,-630,-1054], x-1];
104E[49,1]=[[-1,2,-16,0,-8,-28,-54,110,48,-110,-12,-246,-182,128,-324,-162,-810,488,244,-768,702,440,1302,-730,-294], x-1];
105E[49,2]=[[2,7,7,0,-5,-14,-21,49,-159,58,147,219,350,-124,525,303,-105,-413,415,-432,-1113,-103,1092,-329,-882], x-1];
106E[49,3]=[[2,-7,-7,0,-5,14,21,-49,-159,58,-147,219,-350,-124,-525,303,105,413,415,-432,1113,-103,-1092,329,882], x-1];
107E[49,4]=[[-1/6*x^2+20/3,x,1/12*x^3-29/6*x,0,x^2-12,-1/12*x^3+65/6*x,-3/4*x^3+85/2*x,1/3*x^3-91/3*x,-4/3*x^2+412/3,7/3*x^2-64/3,-1/3*x^3-56/3*x,x^2+16,-1/4*x^3-33/2*x,-35/3*x^2+1700/3,-8/3*x^3+386/3*x,-6*x^2+226,5/3*x^3-143/3*x,9/4*x^3-125/2*x,38/3*x^2-2864/3,14/3*x^2+1168/3,25/12*x^3-947/6*x,94/3*x^2-4264/3,2/3*x^3-113/3*x,25/4*x^3-1039/2*x,-91/12*x^3+1505/6*x], x^4-74*x^2+784];
108E[49,5]=[[-5,0,0,0,-68,0,0,0,-40,-166,0,450,0,-180,0,590,0,0,-740,688,0,-1384,0,0,0], x-1];
109E[50,1]=[[-2,-7,0,34,27,28,-21,35,78,-120,182,-146,357,148,84,-702,-840,-238,-461,-708,133,650,903,735,-1106], x-1];
110E[50,2]=[[2,2,0,26,-28,12,-64,-60,-58,90,-128,236,242,362,226,-108,-20,542,-434,-1128,632,-720,-478,-490,1456], x-1];
111E[50,3]=[[-2,-2,0,-26,-28,-12,64,-60,58,90,-128,-236,242,-362,-226,108,-20,542,434,-1128,-632,-720,478,-490,-1456], x-1];
112E[50,4]=[[-2,8,0,4,12,58,-66,-100,-132,-90,152,34,-438,-32,204,-222,420,902,1024,432,-362,-160,-72,810,-1106], x-1];
113E[50,5]=[[2,7,0,-34,27,-28,21,35,-78,-120,182,146,357,-148,-84,702,-840,-238,461,-708,-133,650,-903,735,1106], x-1];
114E[51,1]=[[-1,3,-20,-2,-48,-14,-17,92,-122,-36,-182,76,294,-428,-12,-234,-540,-820,700,794,-1038,858,1052,1102,710], x-1];
115E[51,2]=[[1,-3,-10,-8,12,-26,17,-148,152,-66,-32,-266,-6,-92,-288,-546,420,350,940,424,378,288,748,-1558,530], x-1];
116E[51,3]=[[-1,-3,16,34,-48,58,-17,20,58,0,-218,184,-138,148,-516,-162,-180,152,-956,-538,-462,390,1268,-770,494], x-1];
117E[51,4]=[[1/4*x-3/4,-3,x,-x-1,-x+36,-2*x+5,-17,-4*x-1,-x-96,-4*x+234,2*x+260,16*x-4,-9*x+312,4*x-103,3*x+201,-31*x-57,24*x+150,-39*x+317,-18*x-430,14*x-966,3*x+425,254,3*x+489,63*x-333,13*x+473], x^2-6*x-279];
118E[51,5]=[[-1/4*x^2-1/4*x+35/2,3,x,-x^2+3*x+50,4*x^2+x-234,5*x^2-8*x-270,17,-5*x^2+256,-11*x+66,-20*x^2+8*x+1222,12*x^2-2*x-772,26*x^2+8*x-1562,4*x^2+11*x-32,-43*x^2+48*x+2432,-21*x^2-35*x+1534,-41*x^2-17*x+2736,22*x^2-16*x-1364,-37*x^2+x+2236,-18*x^2+30*x+544,46*x^2+50*x-3244,55*x^2+31*x-3684,54*x^2-120*x-3048,-25*x^2-43*x+1114,-21*x^2+85*x+1512,-133*x^2-71*x+8392], x^3-8*x^2-59*x+466];
119E[52,1]=[[0,-3,-13,-11,-2,-13,-51,150,-4,-118,-116,63,-288,-293,-335,-708,566,904,382,7,518,-100,-1440,1254,1262], x-1];
120E[52,2]=[[0,x,-x+10,-x+12,2*x+4,13,-x-2,-10*x-36,-24*x-24,24*x+6,12*x-184,35*x+90,14*x+274,-x-192,11*x+244,-22*x+214,22*x+164,74*x-18,18*x-292,61*x+788,-72*x-166,-72*x-160,-24*x-732,80*x+298,164*x+402], x^2+3*x-52];
122E[53,2]=[[x,-1/672*x^7+5/336*x^6+11/168*x^5-211/336*x^4-165/224*x^3+275/42*x^2+19/7*x-244/21,-1/336*x^7-1/168*x^6+2/21*x^5+5/24*x^4-41/112*x^3-64/21*x^2-5/2*x+52/3,-1/144*x^7-13/504*x^6+95/252*x^5+659/504*x^4-689/112*x^3-1186/63*x^2+1079/42*x+4366/63,11/1008*x^7+5/504*x^6-83/126*x^5-313/504*x^4+1305/112*x^3+2699/252*x^2-343/6*x-1898/63,-43/2016*x^7+11/144*x^6+563/504*x^5-487/144*x^4-3461/224*x^3+19997/504*x^2+1597/42*x-5836/63,5/96*x^7-13/336*x^6-397/168*x^5+107/48*x^4+6143/224*x^3-4723/168*x^2-783/14*x+1472/21,181/2016*x^7-29/1008*x^6-305/72*x^5+1711/1008*x^4+12627/224*x^3-4237/252*x^2-8209/42*x+1510/63,13/2016*x^7-125/1008*x^6-269/504*x^5+4819/1008*x^4+2195/224*x^3-767/18*x^2-1249/42*x+2494/63,1/224*x^7-19/112*x^6+11/56*x^5+747/112*x^4-3385/224*x^3-3221/56*x^2+1018/7*x+526/7,-85/504*x^7-1/9*x^6+2041/252*x^5+439/126*x^4-6029/56*x^3-2213/63*x^2+13795/42*x+1316/9,73/2016*x^7+25/1008*x^6-641/504*x^5-1853/1008*x^4+1303/224*x^3+2095/72*x^2+145/3*x+3958/63,-13/168*x^7+11/21*x^6+55/21*x^5-1951/84*x^4-205/56*x^3+22321/84*x^2-174*x-14842/21,7/72*x^7-7/18*x^6-145/36*x^5+148/9*x^4+299/8*x^3-1561/9*x^2-217/6*x+5326/9,11/144*x^7-271/504*x^6-865/252*x^5+9887/504*x^4+4227/112*x^3-33253/252*x^2-1298/21*x+1852/63,-53,-55/1008*x^7+173/504*x^6+320/63*x^5-6535/504*x^4-13357/112*x^3+7199/63*x^2+15385/21*x-5252/63,-475/1008*x^7-31/504*x^6+5441/252*x^5+2711/504*x^4-30357/112*x^3-40177/252*x^2+36929/42*x+6196/9,-1/12*x^7+1/12*x^6+11/3*x^5+5/6*x^4-147/4*x^3-1075/12*x^2-79/2*x+1936/3,533/2016*x^7-85/1008*x^6-5647/504*x^5+1025/144*x^4+26947/224*x^3-4403/36*x^2-4537/21*x+17636/63,397/1008*x^7-101/504*x^6-4979/252*x^5+4339/504*x^4+30995/112*x^3-3968/63*x^2-40349/42*x-7348/63,-421/2016*x^7+1481/1008*x^6+4541/504*x^5-75211/1008*x^4-19083/224*x^3+249133/252*x^2+110/21*x-164488/63,-1123/2016*x^7+167/1008*x^6+1775/72*x^5-1783/144*x^4-63925/224*x^3+23987/126*x^2+19945/42*x-43186/63,-16/63*x^7-5/252*x^6+3347/252*x^5+151/252*x^4-5307/28*x^3-1121/18*x^2+9748/21*x+26962/63,155/672*x^7-37/336*x^6-2353/168*x^5+101/336*x^4+56375/224*x^3+12101/168*x^2-8222/7*x-5146/21], x^8-2*x^7-52*x^6+94*x^5+823*x^4-1136*x^3-4480*x^2+3296*x+6784];
123E[53,3]=[[0,1,-18,2,54,-43,-99,-61,207,-99,-160,-7,-414,-268,270,53,450,182,-556,693,-862,119,-333,1350,-187], x-1];
124E[54,1]=[[-2,0,-3,29,57,20,72,-106,-174,210,47,2,6,218,-474,-81,-84,56,-142,-360,-1159,-160,-735,954,191], x-1];
125E[54,2]=[[2,0,3,29,-57,20,-72,-106,174,-210,47,2,-6,218,474,81,84,56,-142,360,-1159,-160,735,-954,191], x-1];
126E[54,3]=[[-2,0,-12,-7,-60,-79,108,11,132,-96,20,-169,-192,488,-204,-360,-156,83,47,-216,-511,-529,1128,-36,605], x-1];
127E[54,4]=[[2,0,12,-7,60,-79,-108,11,-132,96,20,-169,192,488,204,360,156,83,47,216,-511,-529,-1128,36,605], x-1];
128E[55,1]=[[1,-3,-5,-9,11,2,21,-85,22,-165,-83,1,-478,-8,126,-683,-290,257,776,-313,902,830,842,25,-1784], x-1];
129E[55,2]=[[x,x+2,5,-9*x-44,-11,-10*x-60,17*x-16,45*x+156,4*x+38,71*x+138,117*x+480,-43*x-430,-156*x-618,-156*x-576,-100*x-374,169*x+650,-158*x-596,-119*x-494,150*x+658,-61*x+580,-58*x-168,114*x-248,-270*x-1224,43*x-738,454*x+1422], x^2+7*x+8];
130E[55,3]=[[x,-3/2*x^2+3*x+35/2,-5,19/2*x^2-5*x-291/2,-11,-19*x^2+12*x+273,-37/2*x^2+25*x+557/2,-59/2*x^2+41*x+775/2,41*x^2-44*x-459,63/2*x^2-41*x-575/2,41/2*x^2-27*x-637/2,39/2*x^2-9*x-943/2,72*x^2-112*x-922,-75*x^2+14*x+1329,35*x^2-60*x-289,-13/2*x^2+11*x+341/2,-17*x^2+98*x-107,-71/2*x^2+85*x+1559/2,70*x^2-90*x-1272,35/2*x^2+159*x-1375/2,61*x^2-116*x-1375,277*x^2-382*x-3597,-138*x^2+24*x+2012,-621/2*x^2+127*x+11021/2,-85*x^2-126*x+627], x^3-5*x^2-11*x+59];
131E[55,4]=[[x,-1/4*x^3+1/2*x^2+15/4*x-2,5,1/4*x^3-5/2*x^2-15/4*x+32,11,x^3+4*x^2-23*x-40,1/4*x^3-5/2*x^2-87/4*x+60,-1/4*x^3-15/2*x^2+55/4*x+44,1/2*x^3+3*x^2-35/2*x-54,33/4*x^3-9/2*x^2-535/4*x-30,-11/4*x^3+3/2*x^2+301/4*x+8,25/4*x^3-41/2*x^2-143/4*x+266,3*x^3-18*x^2-53*x+390,-5*x^3+20*x^2+145*x-268,-3/2*x^3-49*x^2+161/2*x+726,21/4*x^3-5/2*x^2-211/4*x+402,-45/2*x^3-7*x^2+947/2*x+36,-1/4*x^3+9/2*x^2+87/4*x-334,-10*x^3+108*x^2+84*x-1306,15/4*x^3-111/2*x^2-521/4*x+564,-28*x^3-6*x^2+432*x+164,-7/2*x^3+63*x^2-319/2*x-1000,73/2*x^3-15*x^2-1235/2*x-132,-93/4*x^3+93/2*x^2+1547/4*x-450,7/2*x^3+13*x^2-561/2*x+230], x^4-x^3-25*x^2+9*x+96];
132E[56,1]=[[0,-2,-16,-7,24,-68,54,-46,176,-174,-116,74,-10,-480,-572,-162,-86,-904,660,1024,770,-904,682,-102,-218], x-1];
133E[56,2]=[[0,6,8,-7,56,-28,-90,74,-96,-222,-100,58,422,512,148,-642,-318,720,-412,448,994,-296,386,-6,-138], x-1];
134E[56,3]=[[0,x,-x+10,7,-6*x+12,5*x+26,6*x+10,-13*x-72,-4*x-56,-22*x-50,14*x+24,10*x+262,18*x-254,14*x+220,-14*x-264,72*x+206,-13*x-112,31*x-142,68*x+572,44*x-568,36*x+394,-36*x+256,47*x-568,-160*x+138,70*x-358], x^2+2*x-56];
135E[57,1]=[[-1,3,-12,-20,-4,-76,22,-19,82,242,-126,-180,-390,308,-522,-70,188,-706,104,-432,718,94,-1296,846,830], x-1];
136E[57,2]=[[x,-3,2*x+10,4*x+16,-14*x+22,-10*x-22,-24*x+6,-19,24*x+110,10*x+20,-26*x+72,-102*x-58,-34*x-8,-140*x+168,-36*x+414,66*x-276,140*x+224,12*x-38,268*x-156,140*x-412,104*x-138,-54*x-432,-158*x+498,314*x-128,128*x+606], x^2-x-8];
137E[57,3]=[[x,-3,-3*x^2-14*x+15,5*x^2+18*x-43,15*x^2+66*x-117,-12*x^2-36*x+74,-21*x^2-98*x+117,19,-12*x^2-40*x-60,-28*x-18,-46*x^2-132*x+326,50*x^2+228*x-268,78*x^2+268*x-708,45*x^2+138*x-439,-39*x^2-130*x+213,48*x^2+56*x-774,-24*x^2-140*x+264,-9*x^2-150*x+281,-24*x^2-12*x+416,48*x^2+244*x-492,117*x^2+462*x-637,-168*x^2-684*x+1064,-84*x^2-264*x+828,36*x^2+392*x+306,-152*x^2-708*x+758], x^3+3*x^2-12*x+6];
138E[57,4]=[[x,3,-1/2*x^3-3/2*x^2+10*x+18,3/2*x^3+1/2*x^2-30*x+8,-5/2*x^3-3/2*x^2+42*x+18,-12*x+26,5/2*x^3+15/2*x^2-50*x-90,19,-5*x^3+3*x^2+104*x-126,7*x^3+15*x^2-148*x-180,-3*x^3-x^2+84*x+32,-15*x^3+11*x^2+300*x-58,18*x^3-12*x^2-332*x+144,-9/2*x^3-75/2*x^2+138*x+536,9/2*x^3+63/2*x^2-82*x-270,-31*x^3-15*x^2+608*x+180,-24*x^3+24*x^2+484*x-288,-15/2*x^3-21/2*x^2+234*x-70,6*x^3-42*x^2-252*x+812,32*x^3-24*x^2-764*x+684,-21/2*x^3+105/2*x^2+78*x-730,12*x^3+72*x^2-228*x-1144,5*x^3+57*x^2+144*x-1242,-x^3+27*x^2-112*x-1080,48*x^3+40*x^2-948*x-946], x^4-3*x^3-24*x^2+66*x+48];
139E[58,1]=[[-2,7,5,-2,37,27,24,-88,-28,-29,-143,-360,386,381,-103,-431,288,-840,-180,706,716,931,1188,-642,486], x-1];
140E[58,2]=[[2,-7,-15,-18,27,-57,-44,152,-152,-29,-173,-120,-314,339,-357,-59,-572,-420,660,726,1004,361,-168,58,-1206], x-1];
141E[58,3]=[[-2,x,-6*x-11,8*x,3*x-42,-8*x-33,-16*x-38,4*x+58,78*x+64,29,-109*x-76,-4*x+16,80*x+232,-53*x-118,99*x-158,-52*x-531,-250*x-340,12*x+526,20*x-436,-34*x+364,-176*x-604,361*x+202,38*x-876,-72*x-544,-100*x+84], x^2+2*x-5];
142E[58,4]=[[2,x,1/3*x^2-4/3*x-2,-4/3*x^2-8/3*x+48,-2/3*x^2-7/3*x+24,11/3*x^2-2/3*x-106,-16/3*x^2+4/3*x+130,10/3*x^2+44/3*x-160,4*x^2+14*x-192,29,-12*x^2-13*x+324,38/3*x^2+112/3*x-402,-2*x^2-8*x+250,2/3*x^2+49/3*x-24,2/3*x^2-95/3*x+220,-9*x^2+98*x+430,4/3*x^2+266/3*x-36,40/3*x^2+320/3*x-346,-24*x^2-84*x+668,-4/3*x^2-14/3*x+24,10*x^2-20*x-438,-38/3*x^2+35/3*x-348,4*x^2-154*x-108,154/3*x^2+104/3*x-1190,-34/3*x^2-596/3*x+530], x^3-2*x^2-41*x+96];
143E[59,1]=[[x,-1,-2*x-1,-2*x-15,2*x-20,22*x+28,-24*x-90,20*x+39,2*x+86,74*x+205,-12*x-86,-6*x-158,-40*x-289,-72*x-290,-102*x-180,-34*x+95,59,-270*x-674,-102*x+256,-236*x-144,-252*x-388,486*x+915,566*x+1136,406*x+386,300*x+360], x^2+4*x-1];
144E[59,2]=[[x,-3*x+1,3*x-17,2*x-5,x+6,9*x-52,-3*x+86,27*x-67,-24*x-36,-61*x-123,-48*x+52,53*x-172,-58*x+255,53*x-44,106*x-40,-151*x-245,59,-120*x-242,166*x-746,441*x-76,244*x-98,-26*x-99,75*x+944,356*x+166,-672*x+514], x^2-x-4];
145E[59,3]=[[x,-150283/30516688*x^9+190363/30516688*x^8+8240685/30516688*x^7-8027709/30516688*x^6-34459291/7629172*x^5+20531795/7629172*x^4+45102881/1907293*x^3+4741203/7629172*x^2-66464329/3814586*x-10210667/1907293,31423/30516688*x^9+723327/30516688*x^8-2668847/30516688*x^7-40763069/30516688*x^6+34347585/15258344*x^5+44564760/1907293*x^4-141709241/7629172*x^3-1033335517/7629172*x^2+36173117/3814586*x+297944397/1907293,439981/15258344*x^9-216975/7629172*x^8-6145849/3814586*x^7+9008219/7629172*x^6+425481321/15258344*x^5-22623454/1907293*x^4-1211446421/7629172*x^3-12419508/1907293*x^2+350050982/1907293*x+47838613/1907293,-673439/15258344*x^9-885747/15258344*x^8+39088203/15258344*x^7+58233565/15258344*x^6-356189999/7629172*x^5-293956881/3814586*x^4+1086287549/3814586*x^3+1991317501/3814586*x^2-538205727/1907293*x-980688666/1907293,360713/15258344*x^9+779705/15258344*x^8-21384673/15258344*x^7-47572551/15258344*x^6+199920991/7629172*x^5+222976339/3814586*x^4-625963251/3814586*x^3-1370467807/3814586*x^2+268865303/1907293*x+616109872/1907293,-658271/15258344*x^9-1402867/15258344*x^8+38969093/15258344*x^7+88230459/15258344*x^6-182891647/3814586*x^5-866185995/7629172*x^4+1171272375/3814586*x^3+2874128885/3814586*x^2-615636706/1907293*x-1579644798/1907293,-332753/30516688*x^9-3374661/30516688*x^8+23694085/30516688*x^7+194037271/30516688*x^6-271350057/15258344*x^5-433636137/3814586*x^4+1058592425/7629172*x^3+5120088047/7629172*x^2-483390119/3814586*x-1351233139/1907293,900415/15258344*x^9+696189/15258344*x^8-51260097/15258344*x^7-52628591/15258344*x^6+225480881/3814586*x^5+152015316/1907293*x^4-639521128/1907293*x^3-2427964979/3814586*x^2+524018641/1907293*x+1509966780/1907293,-363771/3814586*x^9-2323557/15258344*x^8+85161947/15258344*x^7+146976443/15258344*x^6-1571371043/15258344*x^5-359387468/1907293*x^4+4923875827/7629172*x^3+4778085805/3814586*x^2-1395682933/1907293*x-2624311067/1907293,-41985/1907293*x^9-5066349/7629172*x^8+15523893/7629172*x^7+284102237/7629172*x^6-429288809/7629172*x^5-2459897683/3814586*x^4+1958461723/3814586*x^3+6948312895/1907293*x^2-971094444/1907293*x-7436199708/1907293,207004/1907293*x^9+145295/1907293*x^8-11820910/1907293*x^7-22333923/3814586*x^6+210313275/1907293*x^5+509016597/3814586*x^4-1227391422/1907293*x^3-1955846010/1907293*x^2+1024760504/1907293*x+2479688852/1907293,-415553/30516688*x^9-24356723/30516688*x^8+54100475/30516688*x^7+1344859925/30516688*x^6-218608123/3814586*x^5-5687669063/7629172*x^4+2185960511/3814586*x^3+30766062285/7629172*x^2-2302927287/3814586*x-7363087643/1907293,358417/7629172*x^9+985058/1907293*x^8-13086551/3814586*x^7-111288263/3814586*x^6+620642435/7629172*x^5+1944302369/3814586*x^4-2583060279/3814586*x^3-5571527182/1907293*x^2+1687696364/1907293*x+6011694712/1907293,-574330/1907293*x^9+1650971/3814586*x^8+63298481/3814586*x^7-74994543/3814586*x^6-1069172109/3814586*x^5+467288357/1907293*x^4+2879878077/1907293*x^3-1128754088/1907293*x^2-2717535196/1907293*x+1307136772/1907293,367159/30516688*x^9-20911187/30516688*x^8+5046003/30516688*x^7+1154450485/30516688*x^6-92459509/3814586*x^5-4935635283/7629172*x^4+1241250399/3814586*x^3+27905783805/7629172*x^2-828967959/3814586*x-8089707071/1907293,-59,1943651/15258344*x^9-3307793/15258344*x^8-104866227/15258344*x^7+153666775/15258344*x^6+857349413/7629172*x^5-497323103/3814586*x^4-2233047105/3814586*x^3+1321256247/3814586*x^2+1446394633/1907293*x+303539166/1907293,3667053/15258344*x^9-17994509/15258344*x^8-186002387/15258344*x^7+949590123/15258344*x^6+684694919/3814586*x^5-3808210045/3814586*x^4-1458199654/1907293*x^3+18710145539/3814586*x^2+2674883999/1907293*x-8401688878/1907293,-5659881/15258344*x^9+23115695/15258344*x^8+295196375/15258344*x^7-1212976519/15258344*x^6-572849923/1907293*x^5+9674093495/7629172*x^4+5464447255/3814586*x^3-23707267333/3814586*x^2-4313887150/1907293*x+11762622784/1907293,4050723/15258344*x^9+20929009/15258344*x^8-255808217/15258344*x^7-1212731575/15258344*x^6+645610948/1907293*x^5+5446335613/3814586*x^4-4426351933/1907293*x^3-32389769939/3814586*x^2+3739005277/1907293*x+16769195514/1907293,2458517/30516688*x^9+37564907/30516688*x^8-194935179/30516688*x^7-2115900269/30516688*x^6+1223921263/7629172*x^5+9248089991/7629172*x^4-2639530106/1907293*x^3-53413400797/7629172*x^2+6709699895/3814586*x+14361168353/1907293,-352111/15258344*x^9+14265849/15258344*x^8+10607211/15258344*x^7-790413667/15258344*x^6-4355595/7629172*x^5+1697030064/1907293*x^4-112086409/3814586*x^3-19230214751/3814586*x^2-1820677029/1907293*x+10031871588/1907293,9972531/15258344*x^9+25170335/15258344*x^8-600029275/15258344*x^7-1529971513/15258344*x^6+5751266365/7629172*x^5+7213984425/3814586*x^4-18899905011/3814586*x^3-45520552745/3814586*x^2+10036025911/1907293*x+23063120326/1907293,-16453219/15258344*x^9-4402601/15258344*x^8+937380397/15258344*x^7+488823419/15258344*x^6-4154776209/3814586*x^5-1710041897/1907293*x^4+12072970536/1907293*x^3+30823649463/3814586*x^2-11128980913/1907293*x-17774595754/1907293], 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146E[60,1]=[[0,-3,5,32,36,-10,-78,140,-192,6,-16,-34,-390,-52,408,-114,516,-58,-892,-120,-646,-1168,-732,-1590,194], x-1];
147E[60,2]=[[0,-3,-5,-28,-24,-70,102,20,-72,306,-136,-214,-150,-292,-72,-414,-744,-418,188,480,434,1352,-612,-30,-286], x-1];
148E[61,1]=[[x,-343/6976*x^8-127/3488*x^7+2395/872*x^6+9169/3488*x^5-334229/6976*x^4-23233/436*x^3+117031/436*x^2+36619/109*x-4952/109,443/3488*x^8+261/3488*x^7-12339/1744*x^6-10313/1744*x^5+429959/3488*x^4+439709/3488*x^3-603499/872*x^2-89471/109*x+15342/109,555/6976*x^8+101/1744*x^7-7599/1744*x^6-14437/3488*x^5+516205/6976*x^4+284461/3488*x^3-176163/436*x^2-107931/218*x+9962/109,131/872*x^8+307/3488*x^7-14649/1744*x^6-3029/436*x^5+256001/1744*x^4+519049/3488*x^3-179167/218*x^2-214511/218*x+15886/109,5/872*x^8-173/3488*x^7-639/1744*x^6+451/218*x^5+13933/1744*x^4-65407/3488*x^3-49093/872*x^2-2373/218*x+2352/109,-1977/3488*x^8-315/872*x^7+27803/872*x^6+48415/1744*x^5-1963007/3488*x^4-1025047/1744*x^3+1398745/436*x^2+833913/218*x-72396/109,-3889/6976*x^8-1255/3488*x^7+13475/436*x^6+92751/3488*x^5-3724651/6976*x^4-942165/1744*x^3+322964/109*x^2+371517/109*x-63560/109,-4091/6976*x^8-141/436*x^7+56413/1744*x^6+90013/3488*x^5-3872965/6976*x^4-1902623/3488*x^3+1330695/436*x^2+382967/109*x-56428/109,-8287/6976*x^8-2415/3488*x^7+57967/872*x^6+188225/3488*x^5-8124669/6976*x^4-497479/436*x^3+1435353/218*x^2+809290/109*x-158706/109,8569/6976*x^8+2705/3488*x^7-59699/872*x^6-207679/3488*x^5+8305531/6976*x^4+545939/436*x^3-721838/109*x^2-882518/109*x+103086/109,1147/6976*x^8+541/3488*x^7-2053/218*x^6-32685/3488*x^5+1187305/6976*x^4+285699/1744*x^3-220523/218*x^2-99070/109*x+44074/109,-21411/6976*x^8-232/109*x^7+298111/1744*x^6+545917/3488*x^5-20738109/6976*x^4-11117831/3488*x^3+14492121/872*x^2+2187445/109*x-326014/109,-1629/1744*x^8-201/436*x^7+5689/109*x^6+34371/872*x^5-1592763/1744*x^4-768947/872*x^3+2241801/436*x^2+1300603/218*x-92852/109,3837/872*x^8+571/218*x^7-106749/436*x^6-89139/436*x^5+3711103/872*x^4+1887511/436*x^3-10379467/436*x^2-3067968/109*x+518376/109,-2547/6976*x^8+609/3488*x^7+18141/872*x^6+2485/3488*x^5-2625625/6976*x^4-193337/872*x^3+939329/436*x^2+556747/218*x+32528/109,-18573/3488*x^8-10479/3488*x^7+515347/1744*x^6+417539/1744*x^5-17856985/3488*x^4-17795047/3488*x^3+6216537/218*x^2+3624373/109*x-563224/109,-61,1663/3488*x^8+717/3488*x^7-47285/1744*x^6-32641/1744*x^5+1681795/3488*x^4+1555333/3488*x^3-1172009/436*x^2-346330/109*x-8392/109,56445/6976*x^8+16617/3488*x^7-392519/872*x^6-1304723/3488*x^5+54594023/6976*x^4+6917651/872*x^3-4773448/109*x^2-5622927/109*x+941458/109,-44371/6976*x^8-893/218*x^7+619335/1744*x^6+1097909/3488*x^5-43262717/6976*x^4-23149375/3488*x^3+30374123/872*x^2+9370507/218*x-686124/109,4907/3488*x^8+4637/3488*x^7-136957/1744*x^6-156621/1744*x^5+4784791/3488*x^4+6020429/3488*x^3-3391281/436*x^2-2234007/218*x+188718/109,-37429/6976*x^8-13209/3488*x^7+260543/872*x^6+976715/3488*x^5-36252143/6976*x^4-5014629/872*x^3+6324209/218*x^2+7949589/218*x-490746/109,23579/3488*x^8+3787/872*x^7-328363/872*x^6-577381/1744*x^5+22860013/3488*x^4+12056225/1744*x^3-7990693/218*x^2-4845614/109*x+703678/109,-4819/6976*x^8-3691/3488*x^7+31885/872*x^6+206853/3488*x^5-4039529/6976*x^4-402451/436*x^3+598579/218*x^2+935955/218*x-3576/109], x^9-3*x^8-58*x^7+154*x^6+1145*x^5-2511*x^4-9096*x^3+13216*x^2+24608*x-3712];
149E[61,2]=[[x,-1/32*x^5-7/48*x^4+23/48*x^3+17/12*x^2-305/96*x-17/12,1/6*x^5+5/6*x^4-13/6*x^3-61/6*x^2+3*x+19/3,-17/96*x^5-15/16*x^4+77/48*x^3+139/12*x^2+373/96*x-311/12,-5/48*x^5-13/24*x^4-1/8*x^3+5/3*x^2+785/48*x-41/6,7/48*x^5-17/24*x^4-151/24*x^3+16*x^2+807/16*x-349/6,29/48*x^5+43/8*x^4-3/8*x^3-147/2*x^2-1873/48*x+691/6,-41/96*x^5-31/16*x^4+445/48*x^3+353/12*x^2-5219/96*x-137/4,-67/96*x^5-37/16*x^4+655/48*x^3+323/12*x^2-5569/96*x-373/12,13/32*x^5+49/16*x^4-17/16*x^3-237/4*x^2-2513/32*x+559/4,-113/96*x^5-95/16*x^4+941/48*x^3+859/12*x^2-9419/96*x-491/12,121/96*x^5+533/48*x^4+59/48*x^3-2023/12*x^2-18301/96*x+1465/4,-43/32*x^5-199/16*x^4-731/48*x^3+1793/12*x^2+10983/32*x-4559/12,-2/3*x^5-28/3*x^4-1/3*x^3+536/3*x^2+45*x-1432/3,-17/8*x^5-67/12*x^4+739/12*x^3+128*x^2-8489/24*x-431,163/96*x^5+109/16*x^4-461/16*x^3-179/4*x^2+17137/96*x-3559/12,13/6*x^5+59/6*x^4-133/6*x^3-565/6*x^2-44*x-899/3,61,101/24*x^5+175/12*x^4-1235/12*x^3-1225/6*x^2+14707/24*x+148,443/96*x^5+1351/48*x^4-1703/48*x^3-4343/12*x^2-15287/96*x+1683/4,-193/96*x^5-653/48*x^4+317/48*x^3+761/4*x^2+34117/96*x+577/12,-19/24*x^5-51/4*x^4-511/12*x^3+1019/6*x^2+15299/24*x-402,341/32*x^5+1033/16*x^4-2041/16*x^3-3713/4*x^2-569/32*x+4567/4,-523/48*x^5-1727/24*x^4+1711/24*x^3+5521/6*x^2+16567/48*x-2803/2,-271/96*x^5-65/16*x^4+3971/48*x^3+709/12*x^2-42709/96*x+3249/4], x^6+7*x^5-8*x^4-106*x^3-29*x^2+279*x-8];
150E[62,1]=[[-2,-2,1,-11,-18,-82,-6,25,58,180,31,-146,47,-12,-136,-232,715,-518,-436,387,678,660,-382,-800,-1631], x-1];
151E[62,2]=[[2,-8,-3,-35,-46,20,8,97,28,-206,-31,-282,367,-562,-148,-84,-301,-236,60,699,-814,670,-650,1566,-615], x-1];
152E[62,3]=[[2,x,-1/2*x^2-x+21,3/2*x^2-3*x-31,-4*x^2-3*x+124,x^2+x-36,2*x^2+10*x-102,13/2*x^2-x-203,-9*x^2-6*x+246,10*x^2-11*x-314,31,-15*x^2+39*x+308,-5/2*x^2+39*x-29,19*x^2+25*x-462,-23*x^2+82*x+616,12*x^2-65*x-70,-25/2*x^2+39*x+563,19*x^2+97*x-552,-26*x^2-68*x+1428,51/2*x^2+145*x-889,-24*x+110,30*x^2+54*x-508,-50*x^2-73*x+1284,3*x^2-6*x-1092,33/2*x^2-135*x-643], x^3-4*x^2-34*x+124];
153E[62,4]=[[-2,x,1/12*x^2+4/3*x-7,-5/12*x^2-8/3*x+37,-7/6*x^2+1/3*x+70,-1/6*x^2-5/3*x+60,1/2*x^2-2*x-12,-17/12*x^2+10/3*x+89,2*x^2-12*x-160,2/3*x^2-49/3*x-62,-31,2/3*x^2-25/3*x+186,-1/12*x^2-34/3*x+35,37/6*x^2-13/3*x-314,-8*x^2-14*x+364,3/2*x^2-43*x+48,125/12*x^2+8/3*x-613,23/6*x^2-35/3*x-164,-10*x^2+60*x+468,41/12*x^2-118/3*x-749,-22*x^2+8*x+1402,9/2*x^2-30*x-38,155/6*x^2+205/3*x-1878,-14/3*x^2+208/3*x-374,77/12*x^2+110/3*x+349], x^3-4*x^2-92*x+336];
154E[63,1]=[[-4,0,4,-7,-62,-62,-84,100,42,10,-48,-246,248,68,-324,-258,-120,622,904,678,-642,740,-468,-200,-1266], x-1];
155E[63,2]=[[1,0,-16,-7,8,28,-54,-110,-48,110,12,-246,-182,128,-324,162,-810,-488,244,768,-702,440,1302,-730,294], x-1];
156E[63,3]=[[3,0,18,7,36,-34,-42,-124,0,-102,-160,398,318,-268,-240,498,132,398,92,720,-502,-1024,204,-354,-286], x-1];
157E[63,4]=[[x,0,2*x,-7,-10*x,82,-18*x,-20,-30*x,56*x,156,186,-38*x,164,108*x,-36*x,36*x,790,-44,102*x,126,-712,-336*x,-334*x,798], x^2-19];
158E[63,5]=[[x,0,-2*x,7,-10*x+18,-12*x+26,2*x,-24*x+68,34*x-54,-24*x+162,72*x-88,-36*x-70,30*x+180,-48*x+260,-68*x+108,-4*x+558,116*x-576,72*x-322,108*x-88,30*x-522,12*x+518,-108*x-124,-96*x-828,142*x-396,276*x-10], x^2-3*x-12];
159E[64,1]=[[0,-4,2,-24,-44,-22,50,44,56,-198,160,162,-198,52,-528,242,-668,-550,188,-728,154,656,236,714,-478], x-1];
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162E[64,4]=[[0,-8,10,16,40,50,-30,-40,48,34,320,-310,410,-152,-416,410,200,-30,-776,400,-630,-1120,-552,-326,-110], x-1];
163E[64,5]=[[0,0,-22,0,0,18,-94,0,0,130,0,-214,-230,0,0,-518,0,-830,0,0,1098,0,0,-1670,594], x-1];
164E[65,1]=[[5,2,-5,-12,14,-13,98,-26,-114,58,306,86,-374,-314,620,362,266,634,612,-686,202,-516,48,-1230,350], x-1];
165E[65,2]=[[x,4*x-2,-5,-2*x+30,2*x-44,-13,-32*x+2,22*x+72,-64*x+62,28*x+46,-126*x+24,36*x+162,124*x-98,-40*x-2,62*x+150,96*x-246,-174*x+96,442,-210*x+766,314*x+160,336*x-198,12*x-96,-218*x+466,120*x-486,-836*x+434], x^2-x-4];
166E[65,3]=[[x,-x-3,5,-2*x-12,x-51,-13,42*x+68,39*x+39,-63*x-69,-120*x-112,13*x-219,30*x-14,26*x-64,3*x-179,-94*x+60,118*x+492,-59*x-299,-284*x-276,60*x+2,79*x-161,-150*x+222,-174*x+54,118*x-132,96*x+230,12*x-350], x^2+2*x-5];
167E[65,4]=[[x,-3*x+1,-5,-4*x-10,3*x-11,13,-2*x-48,17*x-41,3*x+11,-26*x+110,-121*x+189,180*x-312,-142*x+224,33*x-427,84*x-398,-50*x-176,211*x-251,-90*x+46,378*x-760,-139*x+395,100*x-368,330*x-1094,-92*x+750,-292*x+1674,-672*x+1218], x^2-4*x+1];
168E[65,5]=[[x,1/16*x^4-1/4*x^3-37/16*x^2+13/2*x+13,5,3/8*x^4-95/8*x^2+15/2*x+50,-7/16*x^4+1/4*x^3+195/16*x^2-20*x-15,13,9/8*x^4-5/2*x^3-349/8*x^2+77*x+204,-19/16*x^4+9/4*x^3+703/16*x^2-81*x-199,-35/16*x^4-5/4*x^3+1071/16*x^2-7/2*x-243,5/8*x^4-89/8*x^2+17/2*x-78,-11/16*x^4+21/4*x^3+503/16*x^2-132*x-127,-2*x^4+7/2*x^3+76*x^2-279/2*x-412,-33/8*x^4+5/2*x^3+1045/8*x^2-101*x-396,7/16*x^4-7/4*x^3-643/16*x^2+171/2*x+443,-11/8*x^4+12*x^3+455/8*x^2-663/2*x-270,-51/8*x^4-7/2*x^3+1583/8*x^2-72*x-564,-41/16*x^4+3/4*x^3+1645/16*x^2+47*x-453,-21/8*x^4-8*x^3+201/8*x^2+303/2*x+566,-6*x^4-1/2*x^3+176*x^2-75/2*x-496,109/16*x^4-19/4*x^3-3233/16*x^2+404*x+453,39/4*x^4+11/2*x^3-1275/4*x^2+3/2*x+1484,75/8*x^4-11/2*x^3-2551/8*x^2+303*x+1802,95/8*x^4-3*x^3-2571/8*x^2+417/2*x+306,-14*x^4+25*x^3+486*x^2-797*x-2490,-7/4*x^4+12*x^3+515/4*x^2-219*x-1354], x^5-37*x^3+4*x^2+240*x+192];
169E[66,1]=[[2,-3,10,16,11,10,-10,-144,-84,218,-176,46,-26,-488,404,194,444,202,-84,-764,354,1312,-1252,-1222,-1358], x-1];
170E[66,2]=[[2,3,x,-3*x+14,-11,7*x-28,-2*x-30,-10*x+20,5*x-126,-6*x-138,16*x-16,-32*x+254,24*x-186,8*x+200,3*x-210,-35*x+480,18*x+96,-7*x+560,-16*x+284,-15*x+546,64*x+50,27*x-958,-52*x+84,-16*x+1098,-70*x+518], x^2-10*x-72];
171E[66,3]=[[-2,3,0,14,11,80,30,56,-126,-222,-16,-106,114,-52,246,-264,264,92,-796,426,-1174,842,852,-1062,-1282], x-1];
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173E[67,2]=[[x,-5/256*x^6-23/256*x^5+49/128*x^4+413/256*x^3-511/256*x^2-191/32*x+241/64,3/32*x^6+15/32*x^5-27/16*x^4-263/32*x^3+175/32*x^2+77/4*x-109/8,-3/64*x^6-17/64*x^5+11/32*x^4+219/64*x^3+423/64*x^2+3/2*x-461/16,-7/256*x^6+3/256*x^5+283/128*x^4+623/256*x^3-7925/256*x^2-577/32*x+3435/64,-79/256*x^6-597/256*x^5+243/128*x^4+10167/256*x^3+10035/256*x^2-2573/32*x-5533/64,15/64*x^6+145/64*x^5-11/32*x^4-2799/64*x^3-3303/64*x^2+1129/8*x+1201/16,1/4*x^6+11/8*x^5-17/8*x^4-87/4*x^3-259/8*x^2+319/8*x+351/4,93/256*x^6+255/256*x^5-1593/128*x^4-4533/256*x^3+33255/256*x^2+1235/32*x-16697/64,-1/32*x^6+53/32*x^5+109/16*x^4-999/32*x^3-3251/32*x^2+213/4*x+