CoCalc -- Collaborative Calculation in the Cloud
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\\ an_s4g0new_1-100.gp
\\ This is a PARI readable nonnormalized basis for S_4(Gamma_0(N)) for N 
\\ in the range:  1 <= N <= 100.
\\ The number of a_n computed is sufficient to satisfy Sturm's bound.
\\ William Stein ([email protected])

E[5,1] = [x, [1,-4]];

E[6,1] = [x, [1,-2,-3,4]];

E[7,1] = [x, [1,-1]];

E[8,1] = [x, [1,0,-4,0]];

E[9,1] = [x, [1,0,0,-8]];

E[10,1] = [x, [1,2,-8,4,5,-16]];

E[11,1] = [x^2-2*x-2, [1,x,-4*x+3,2*x-6]];

E[12,1] = [x, [1,0,3,0,-18,0,8,0]];

E[13,1] = [x, [1,-5,-7,17]];
E[13,2] = [x^2-x-4, [1,x,-3*x+4,x-4]];

E[14,1] = [x, [1,-2,8,4,-14,-16,-7,-8]];
E[14,2] = [x, [1,2,-2,4,-12,-4,7,8]];

E[15,1] = [x, [1,1,3,-7,5,3,-24,-15]];
E[15,2] = [x, [1,3,-3,1,-5,-9,20,-21]];

E[16,1] = [x, [1,0,4,0,-2,0,-24,0]];

E[17,1] = [x, [1,-3,-8,1,6,24]];
E[17,2] = [x^3-x^2-24*x+32, [4,4*x,-x^2-7*x+24,4*x^2-32,-2*x^2-6*x+24,-8*x^2+32]];

E[18,1] = [x, [1,2,0,4,-6,0,-16,8,0,-12,-12,0]];

E[19,1] = [x, [1,-3,-5,1,-12,15]];
E[19,2] = [x^3-3*x^2-18*x+38, [3,3*x,-x^2-4*x+20,3*x^2-24,x^2-8*x+7,-7*x^2+2*x+38]];

E[20,1] = [x, [1,0,4,0,5,0,-16,0,-11,0,-60,0]];

E[21,1] = [x, [1,4,-3,8,-4,-12,-7,0,9,-16]];
E[21,2] = [x, [1,-3,-3,1,-18,9,7,21,9,54]];
E[21,3] = [x^2+3*x-12, [1,x,3,-3*x+4,-2*x,3*x,7,5*x-36,9,6*x-24]];

E[22,1] = [x, [1,2,1,4,-3,2,-10,8,-26,-6,11,4]];
E[22,2] = [x, [1,-2,-7,4,-19,14,14,-8,22,38,11,-28]];
E[22,3] = [x, [1,-2,4,4,14,-8,-8,-8,-11,-28,-11,16]];

E[23,1] = [x, [1,-2,-5,-4,-6,10,-8,24]];
E[23,2] = [x^4-2*x^3-24*x^2+61*x+2, [11,11*x,-x^3-5*x^2+11*x+71,11*x^2-88,10*x^3+6*x^2-220*x+148,-7*x^3-13*x^2+132*x+2,-20*x^3-12*x^2+374*x-142,11*x^3-176*x]];

E[24,1] = [x, [1,0,3,0,14,0,-24,0,9,0,-28,0,-74,0,42,0]];

E[25,1] = [x, [1,1,7,-7,0,7,6,-15,22,0]];
E[25,2] = [x, [1,-1,-7,-7,0,7,-6,15,22,0]];
E[25,3] = [x, [1,4,-2,8,0,-8,-6,0,-23,0]];

E[26,1] = [x, [1,-2,3,4,11,-6,19,-8,-18,-22,-38,12,-13,-38]];
E[26,2] = [x, [1,2,4,4,-18,8,20,8,-11,-36,-48,16,13,40]];
E[26,3] = [x, [1,2,-1,4,17,-2,-35,8,-26,34,2,-4,13,-70]];

E[27,1] = [x, [1,3,0,1,15,0,-25,-21,0,45,-15,0]];
E[27,2] = [x, [1,-3,0,1,-15,0,-25,21,0,45,15,0]];
E[27,3] = [x^2-18, [1,x,0,10,-4*x,0,11,2*x,0,-72,4*x,0]];

E[28,1] = [x, [1,0,-10,0,-8,0,-7,0,73,0,-40,0,-12,0,80,0]];
E[28,2] = [x, [1,0,4,0,6,0,7,0,-11,0,-12,0,-82,0,24,0]];

E[29,1] = [x^2+2*x-1, [1,x,-3*x-8,-2*x-7,4*x-1,-2*x-3,10*x+2,-11*x-2,30*x+46,-9*x+4]];
E[29,2] = [x^5-33*x^3+28*x^2+192*x-256, [16,16*x,2*x^4+4*x^3-66*x^2-60*x+400,16*x^2-128,-11*x^4-20*x^3+315*x^2+256*x-1360,4*x^4-116*x^2+16*x+512,6*x^4+16*x^3-166*x^2-296*x+896,16*x^3-256*x,27*x^4+44*x^3-811*x^2-632*x+3936,-20*x^4-48*x^3+564*x^2+752*x-2816]];

E[30,1] = [x, [1,-2,3,4,5,-6,32,-8,9,-10,-60,12,-34,-64,15,16,42,-18,-76,20,96,120,0,-24]];
E[30,2] = [x, [1,2,3,4,-5,6,-4,8,9,-10,-48,12,2,-8,-15,16,-114,18,140,-20,-12,-96,72,24]];

E[31,1] = [x^2+5*x+2, [1,x,-2*x-6,-5*x-10,3*x-5,4*x+4,5*x+3,7*x+10,4*x+1,-20*x-6]];
E[31,2] = [x^5-3*x^4-30*x^3+79*x^2+167*x-386, [104,104*x,5*x^4+4*x^3-218*x^2-59*x+1734,104*x^2-832,-26*x^4+780*x^2-130*x-3380,19*x^4-68*x^3-454*x^2+899*x+1930,-8*x^4+56*x^3+120*x^2-1008*x+616,104*x^3-1664*x,66*x^4-72*x^3-2004*x^2+594*x+11012,-78*x^4+1924*x^2+962*x-10036]];

E[32,1] = [x, [1,0,-8,0,-10,0,-16,0,37,0,40,0,-50,0,80,0]];
E[32,2] = [x, [1,0,8,0,-10,0,16,0,37,0,-40,0,-50,0,-80,0]];
E[32,3] = [x, [1,0,0,0,22,0,0,0,-27,0,0,0,-18,0,0,0]];

E[33,1] = [x, [1,-5,3,17,-14,-15,-32,-45,9,70,-11,51,-38,160,-42,89]];
E[33,2] = [x, [1,-1,-3,-7,-4,3,-26,15,9,4,11,21,-32,26,12,41]];
E[33,3] = [x^2-x-24, [1,x,-3,x+16,-2*x-6,-3*x,-4*x+14,9*x+24,9,-8*x-48,-11,-3*x-48,2*x+14,10*x-96,6*x+18,25*x+88]];
E[33,4] = [x^2-x-8, [1,x,3,x,-4*x+10,3*x,-2*x+2,-7*x+8,9,6*x-32,11,3*x,8*x-42,-16,-12*x+30,-7*x-56]];

E[34,1] = [x^2-6*x-4, [1,2,x,4,-4*x+10,2*x,-x,8,6*x-23,-8*x+20,15*x-48,4*x,-14*x+10,-2*x,-14*x-16,16,17,12*x-46]];
E[34,2] = [x, [1,-2,-2,4,16,4,24,-8,-23,-32,62,-8,-62,-48,-32,16,-17,46]];
E[34,3] = [x, [1,-2,-2,4,-18,4,-10,-8,-23,36,-6,-8,74,20,36,16,17,46]];

E[35,1] = [x, [1,1,-8,-7,-5,-8,7,-15,37,-5,12,56,-78,7,40,41]];
E[35,2] = [x^2-8*x+14, [1,x,-4*x+17,8*x-22,-5,-15*x+56,-7,34*x-112,-8*x+38,-5*x,-32*x+121,-32*x+74,4*x+9,-7*x,20*x-85,96*x-300]];
E[35,3] = [x^3+3*x^2-14*x-30, [1,x,-x^2+13,x^2-8,5,3*x^2-x-30,7,-3*x^2-2*x+30,-3*x^2-12*x+52,5*x,x^2+4*x-33,-2*x^2+12*x-14,5*x^2-8*x-55,7*x,-5*x^2+65,-x^2-12*x-26]];

E[36,1] = [x, [1,0,0,0,18,0,8,0,0,0,-36,0,-10,0,0,0,-18,0,-100,0,0,0,-72,0]];

E[37,1] = [x^4+6*x^3-x^2-16*x+6, [8,8*x,-x^3-9*x^2-26*x-22,8*x^2-64,13*x^3+85*x^2+50*x-186,-3*x^3-27*x^2-38*x+6,-38*x^3-238*x^2-60*x+340,8*x^3-128*x,21*x^3+165*x^2+258*x-202,7*x^3+63*x^2+22*x-78,17*x^3+145*x^2+218*x-282,-x^3+31*x^2+166*x+194]];
E[37,2] = [x^5-4*x^4-21*x^3+74*x^2+102*x-296, [8,8*x,-x^4+3*x^3+12*x^2-26*x+24,8*x^2-64,3*x^4-5*x^3-64*x^2+30*x+296,-x^4-9*x^3+48*x^2+126*x-296,2*x^4-2*x^3-44*x^2-12*x+240,8*x^3-128*x,-7*x^4+21*x^3+108*x^2-230*x-144,7*x^4-x^3-192*x^2-10*x+888,-7*x^4-3*x^3+196*x^2+58*x-920,-5*x^4+3*x^3+104*x^2+14*x-488]];

E[38,1] = [x^2-9*x+2, [1,2,x,4,-3*x+9,2*x,-4*x+9,8,9*x-29,-6*x+18,x-13,4*x,13*x-50,-8*x+18,-18*x+6,16,-2*x-31,18*x-58,19,-12*x+36]];
E[38,2] = [x, [1,-2,-2,4,-9,4,-31,-8,-23,18,57,-8,-52,62,18,16,69,46,19,-36]];
E[38,3] = [x^2-x-44, [1,-2,x,4,-2*x+6,-2*x,x+28,-8,x+17,4*x-12,2*x+4,4*x,-7*x+10,-2*x-56,4*x-88,16,-15*x-18,-2*x-34,-19,-8*x+24]];

E[39,1] = [x^2-2*x-13, [1,x,-3,2*x+5,-2*x+14,-3*x,-2*x+2,x+26,9,10*x-26,-12*x-10,-6*x-15,-13,-2*x-26,6*x-42,12*x-27,4*x+78,9*x]];
E[39,2] = [x^3-2*x^2-15*x+24, [1,x,3,x^2-8,-2*x^2+24,3*x,-6*x+14,2*x^2-x-24,9,-4*x^2-6*x+48,6*x^2-2*x-72,3*x^2-24,13,-6*x^2+14*x,-6*x^2+72,-5*x^2+6*x+16,8*x-54,9*x]];
E[39,3] = [x, [1,0,-3,-8,-12,0,2,0,9,0,-36,24,13,0,36,64,-78,0]];

E[40,1] = [x, [1,0,4,0,5,0,16,0,-11,0,36,0,-42,0,20,0,-110,0,-116,0,64,0,16,0]];
E[40,2] = [x, [1,0,10,0,-5,0,-18,0,73,0,-16,0,-6,0,-50,0,-6,0,-124,0,-180,0,42,0]];
E[40,3] = [x, [1,0,-6,0,-5,0,-34,0,9,0,16,0,58,0,30,0,-70,0,4,0,204,0,-134,0]];

E[41,1] = [x^3+3*x^2-5*x-3, [2,2*x,-x^2-6*x-5,2*x^2-16,4*x^2+10*x-22,-3*x^2-10*x-3,-7*x^2-10*x+1,-6*x^2-22*x+6,12*x^2+54*x-28,-2*x^2-2*x+12,-13*x^2-26*x+31,7*x^2+30*x+31,30*x^2+96*x-74,11*x^2-34*x-21]];
E[41,2] = [x^7-x^6-49*x^5+33*x^4+720*x^3-320*x^2-3200*x+512, [64,64*x,-x^6+x^5+37*x^4-17*x^3-324*x^2+48*x+512,64*x^2-512,2*x^6+2*x^5-78*x^4-98*x^3+588*x^2+864*x+768,-12*x^5+16*x^4+396*x^3-272*x^2-2688*x+512,2*x^6+6*x^5-94*x^4-246*x^3+1052*x^2+1840*x-1152,64*x^3-1024*x,-4*x^6+168*x^4+32*x^3-1636*x^2-608*x+2496,4*x^6+20*x^5-164*x^4-852*x^3+1504*x^2+7168*x-1024,-4*x^6-12*x^5+176*x^4+540*x^3-1836*x^2-4880*x+2944,-4*x^6+8*x^5+100*x^4-136*x^3-96*x^2+128*x-4096,-8*x^6-24*x^5+296*x^4+1080*x^3-2080*x^2-9632*x-1920,8*x^6+4*x^5-312*x^4-388*x^3+2480*x^2+5248*x-1024]];

E[42,1] = [x, [1,2,-3,4,18,-6,7,8,9,36,-72,-12,-34,14,-54,16,6,18,92,72,-21,-144,-180,-24,199,-68,-27,28,-114,-108,56,32]];
E[42,2] = [x, [1,2,3,4,2,6,-7,8,9,4,-8,12,-42,-14,6,16,-2,18,-124,8,-21,-16,76,24,-121,-84,27,-28,254,12,-72,32]];

E[43,1] = [x^6-6*x^5-17*x^4+124*x^3+26*x^2-608*x+540, [8,8*x,x^5-7*x^4-6*x^3+86*x^2-28*x-68,8*x^2-64,-x^5+7*x^4+14*x^3-118*x^2-68*x+404,-x^5+11*x^4-38*x^3-54*x^2+540*x-540,-4*x^5+16*x^4+100*x^3-320*x^2-688*x+1424,8*x^3-128*x,7*x^5-29*x^4-166*x^3+546*x^2+1052*x-2068,x^5-3*x^4+6*x^3-42*x^2-204*x+540,-16*x^4+88*x^3+112*x^2-960*x+728,-3*x^5+x^4+118*x^3-122*x^2-924*x+1084,8*x^5-24*x^4-264*x^3+640*x^2+2048*x-3480,-8*x^5+32*x^4+176*x^3-584*x^2-1008*x+2160]];
E[43,2] = [x^4+4*x^3-9*x^2-14*x+2, [8,8*x,x^3+x^2-28*x-26,8*x^2-64,-9*x^3-33*x^2+76*x+10,-3*x^3-19*x^2-12*x-2,20*x^3+84*x^2-128*x-232,8*x^3-128*x,5*x^3+45*x^2+116*x-122,3*x^3-5*x^2-116*x+18,-52*x^3-204*x^2+480*x+400,-15*x^3-47*x^2+180*x+214,20*x^3+76*x^2-192*x-192,4*x^3+52*x^2+48*x-40]];

E[44,1] = [x, [1,0,-5,0,-7,0,-26,0,-2,0,-11,0,52,0,35,0,46,0,-96,0,130,0,27,0]];
E[44,2] = [x^2-9*x-4, [1,0,x,0,-x+10,0,-6*x+32,0,9*x-23,0,11,0,-2*x-2,0,x-4,0,-4*x-62,0,20*x-84,0,-22*x-24,0,-23*x+44,0]];

E[45,1] = [x, [1,-5,0,17,5,0,-30,-45,0,-25,-50,0,-20,150,0,89,10,0,-44,85,0,250,-120,0]];
E[45,2] = [x, [1,-3,0,1,5,0,20,21,0,-15,24,0,74,-60,0,-71,-54,0,-124,5,0,-72,120,0]];
E[45,3] = [x, [1,-1,0,-7,-5,0,-24,15,0,5,-52,0,22,24,0,41,14,0,-20,35,0,52,168,0]];
E[45,4] = [x, [1,5,0,17,-5,0,-30,45,0,-25,50,0,-20,-150,0,89,-10,0,-44,-85,0,250,120,0]];
E[45,5] = [x, [1,4,0,8,5,0,6,0,0,20,-32,0,-38,24,0,-64,-26,0,100,40,0,-128,78,0]];

E[46,1] = [x, [1,2,-9,4,-20,-18,2,8,54,-40,-52,-36,43,4,180,16,-50,108,-74,-80,-18,-104,-23,-72]];
E[46,2] = [x^2-3*x-16, [1,2,x,4,-2*x+8,2*x,-4*x+12,8,3*x-11,-4*x+16,-6,4*x,11*x-42,-8*x+24,2*x-32,16,6*x-42,6*x-22,-20*x+22,-8*x+32,-64,-12,23,8*x]];
E[46,3] = [x, [1,-2,-1,4,-10,2,-12,-8,-26,20,-42,-4,7,24,10,16,20,52,106,-40,12,84,23,8]];
E[46,4] = [x^2+x-92, [3,-6,3*x,12,-2*x+14,-6*x,-2*x+8,-24,-3*x+195,4*x-28,8*x+112,12*x,-7*x-170,4*x-16,16*x-184,48,-24*x+174,6*x-390,-18*x+24,-8*x+56,10*x-184,-16*x-224,-69,-24*x]];

E[47,1] = [x^3+5*x^2-2*x-12, [2,2*x,-x^2-5*x-2,2*x^2-16,2*x^2+2*x-20,-4*x-12,-x^2+5*x-12,-10*x^2-28*x+24,3*x^2+21*x-22,-8*x^2-16*x+24,12*x^2+40*x-48,4*x^2+28*x+16,-4*x^2+4*x-8,10*x^2-14*x-12,6*x^2+34*x+8,6*x^2+4*x+8]];
E[47,2] = [x^8-3*x^7-50*x^6+124*x^5+844*x^4-1549*x^3-5393*x^2+5418*x+10316, [1179168,1179168*x,5150*x^7-23192*x^6-147764*x^5+742588*x^4+682348*x^3-6699282*x^2+4138484*x+17301448,1179168*x^2-9433344,-7159*x^7-15500*x^6+324010*x^5+597730*x^4-3850886*x^3-7393983*x^2+9686078*x+33602380,-7742*x^7+109736*x^6+103988*x^5-3664252*x^4+1278068*x^3+31912434*x^2-10601252*x-53127400,12994*x^7+6968*x^6-724972*x^5-336796*x^4+11536436*x^3+5903250*x^2-49105460*x-23578408,1179168*x^3-18866688*x,-15184*x^7-28016*x^6+966400*x^5+499552*x^4-16488320*x^3-366384*x^2+64688528*x+28228000,-36977*x^7-33940*x^6+1485446*x^5+2191310*x^4-18483274*x^3-28922409*x^2+72389842*x+73852244,4601*x^7-47852*x^6-132470*x^5+2760514*x^4+28954*x^3-41778255*x^2+9146558*x+131138956,45310*x^7-97576*x^6-1522132*x^5+1871612*x^4+14461292*x^3+1240398*x^2-44289116*x-58545112,30049*x^7+57812*x^6-1296742*x^5-3041902*x^4+16582634*x^3+42886617*x^2-68325938*x-123891028,45950*x^7-75272*x^6-1948052*x^5+569500*x^4+26030956*x^3+20971182*x^2-93979900*x-134046104,28084*x^7-1456*x^6-1370872*x^5+1223144*x^4+15919304*x^3-28904364*x^2-18540776*x+92167664,1179168*x^4-28300032*x^2+75466752]];

E[48,1] = [x, [1,0,3,0,6,0,16,0,9,0,-12,0,38,0,18,0,-126,0,-20,0,48,0,-168,0,-89,0,27,0,30,0,88,0]];
E[48,2] = [x, [1,0,-3,0,14,0,24,0,9,0,28,0,-74,0,-42,0,82,0,-92,0,-72,0,-8,0,71,0,-27,0,-138,0,-80,0]];
E[48,3] = [x, [1,0,-3,0,-18,0,-8,0,9,0,-36,0,-10,0,54,0,18,0,100,0,24,0,-72,0,199,0,-27,0,-234,0,16,0]];

E[49,1] = [x, [1,-1,2,-7,-16,-2,0,15,-23,16,-8,-14,-28,0,-32,41,-54,23]];
E[49,2] = [x, [1,-5,0,17,0,0,0,-45,-27,0,-68,0,0,0,0,89,0,135]];
E[49,3] = [x, [1,2,7,-4,7,14,0,-24,22,14,-5,-28,-14,0,49,-16,-21,44]];
E[49,4] = [x, [1,2,-7,-4,-7,-14,0,-24,22,-14,-5,28,14,0,49,-16,21,44]];
E[49,5] = [x^4-74*x^2+784, [12,-2*x^2+80,12*x,-2*x^2+176,x^3-58*x,-2*x^3+80*x,0,-2*x^2+272,12*x^2-324,4*x^3-256*x,12*x^2-144,-2*x^3+176*x,-x^3+130*x,0,16*x^2-784,-18*x^2+144,-9*x^3+510*x,-14*x^2-592]];

E[50,1] = [x, [1,2,2,4,0,4,26,8,-23,0,-28,8,12,52,0,16,-64,-46,-60,0,52,-56,-58,16,0,24,-100,104,90,0]];
E[50,2] = [x, [1,2,7,4,0,14,-34,8,22,0,27,28,-28,-68,0,16,21,44,35,0,-238,54,-78,56,0,-56,-35,-136,-120,0]];
E[50,3] = [x, [1,-2,-7,4,0,14,34,-8,22,0,27,-28,28,-68,0,16,-21,-44,35,0,-238,-54,78,56,0,-56,35,136,-120,0]];
E[50,4] = [x, [1,-2,-2,4,0,4,-26,-8,-23,0,-28,-8,-12,52,0,16,64,46,-60,0,52,56,58,16,0,24,100,-104,90,0]];
E[50,5] = [x, [1,-2,8,4,0,-16,4,-8,37,0,12,32,58,-8,0,16,-66,-74,-100,0,32,-24,-132,-64,0,-116,80,16,-90,0]];

E[51,1] = [x, [1,1,-3,-7,-10,-3,-8,-15,9,-10,12,21,-26,-8,30,41,17,9,-148,70,24,12,152,45]];
E[51,2] = [x^2-18, [1,x,-3,10,4*x+3,-3*x,-4*x-4,2*x,9,3*x+72,-4*x+33,-30,-8*x-1,-4*x-72,-12*x-9,-44,-17,9*x,-16*x-13,40*x+30,12*x+12,33*x-72,-4*x-99,-6*x]];
E[51,3] = [x^3-5*x^2-6*x+34, [1,x,3,x^2-8,-x^2+15,3*x,-4*x^2+4*x+40,5*x^2-10*x-34,9,-5*x^2+9*x+34,3*x^2-16*x+1,3*x^2-24,13*x^2-20*x-115,-16*x^2+16*x+136,-3*x^2+45,7*x^2-4*x-106,17,9*x,-5*x^2+20*x-19,-8*x^2+4*x+50,-12*x^2+12*x+120,-x^2+19*x-102,11*x^2-99,15*x^2-30*x-102]];
E[51,4] = [x, [1,-1,3,-7,-20,-3,-2,15,9,20,-48,-21,-14,2,-60,41,-17,-9,92,140,-6,48,-122,45]];
E[51,5] = [x, [1,-1,-3,-7,16,3,34,15,9,-16,-48,21,58,-34,-48,41,-17,-9,20,-112,-102,48,58,-45]];

E[52,1] = [x, [1,0,-3,0,-13,0,-11,0,-18,0,-2,0,-13,0,39,0,-51,0,150,0,33,0,-4,0,44,0,135,0]];
E[52,2] = [x^2+3*x-52, [1,0,x,0,-x+10,0,-x+12,0,-3*x+25,0,2*x+4,0,13,0,13*x-52,0,-x-2,0,-10*x-36,0,15*x-52,0,-24*x-24,0,-23*x+27,0,7*x-156,0]];

E[53,1] = [x^4+4*x^3-16*x^2-42*x+49, [14,14*x,x^3-3*x^2-37*x-21,14*x^2-112,-5*x^3-13*x^2+31*x+21,-7*x^3-21*x^2+21*x-49,6*x^3+24*x^2-26*x-280,14*x^3-224*x,7*x^3+63*x^2+119*x-315,7*x^3-49*x^2-189*x+245,-11*x^3+33*x^2+253*x-721,-x^3-67*x^2-47*x+511,-37*x^3-155*x^2+431*x+693,70*x^2-28*x-294,22*x^3+116*x^2+82*x-336,-56*x^3-112*x^2+588*x+210,42*x^3+70*x^2-546*x+476,35*x^3+231*x^2-21*x-343]];
E[53,2] = [x^8-2*x^7-52*x^6+94*x^5+823*x^4-1136*x^3-4480*x^2+3296*x+6784, [2016,2016*x,-3*x^7+30*x^6+132*x^5-1266*x^4-1485*x^3+13200*x^2+5472*x-23424,2016*x^2-16128,-6*x^7-12*x^6+192*x^5+420*x^4-738*x^3-6144*x^2-5040*x+34944,24*x^7-24*x^6-984*x^5+984*x^4+9792*x^3-7968*x^2-13536*x+20352,-14*x^7-52*x^6+760*x^5+2636*x^4-12402*x^3-37952*x^2+51792*x+139712,2016*x^3-32256*x,15*x^7+30*x^6-732*x^5-1302*x^4+9657*x^3+15612*x^2-32256*x-16800,-24*x^7-120*x^6+984*x^5+4200*x^4-12960*x^3-31920*x^2+54720*x+40704,22*x^7+20*x^6-1328*x^5-1252*x^4+23490*x^3+21592*x^2-115248*x-60736,48*x^7+24*x^6-2328*x^5+168*x^4+31176*x^3-11616*x^2-102528*x+24576,-43*x^7+154*x^6+2252*x^5-6818*x^4-31149*x^3+79988*x^2+76656*x-186752,-80*x^7+32*x^6+3952*x^5-880*x^4-53856*x^3-10928*x^2+185856*x+94976,-54*x^7+180*x^6+2664*x^5-9252*x^4-35802*x^3+118728*x^2+105840*x-280512,2016*x^4-48384*x^2+129024,105*x^7-78*x^6-4764*x^5+4494*x^4+55287*x^3-56676*x^2-112752*x+141312,60*x^7+48*x^6-2712*x^5-2688*x^4+32652*x^3+34944*x^2-66240*x-101760]];
E[53,3] = [x, [1,0,1,-8,-18,0,2,0,-26,0,54,-8,-43,0,-18,64,-99,0]];

E[54,1] = [x, [1,2,0,4,3,0,29,8,0,6,-57,0,20,58,0,16,-72,0,-106,12,0,-114,174,0,-116,40,0,116,-210,0,47,32,0,-144,87,0]];
E[54,2] = [x, [1,2,0,4,12,0,-7,8,0,24,60,0,-79,-14,0,16,-108,0,11,48,0,120,-132,0,19,-158,0,-28,96,0,20,32,0,-216,-84,0]];
E[54,3] = [x, [1,-2,0,4,-12,0,-7,-8,0,24,-60,0,-79,14,0,16,108,0,11,-48,0,120,132,0,19,158,0,-28,-96,0,20,-32,0,-216,84,0]];
E[54,4] = [x, [1,-2,0,4,-3,0,29,-8,0,6,57,0,20,-58,0,16,72,0,-106,-12,0,-114,-174,0,-116,-40,0,116,210,0,47,-32,0,-144,-87,0]];

E[55,1] = [x, [1,1,-3,-7,-5,-3,-9,-15,-18,-5,11,21,2,-9,15,41,21,-18,-85,35,27,11,22,45]];
E[55,2] = [x^2+7*x+8, [1,x,x+2,-7*x-16,5,-5*x-8,-9*x-44,25*x+56,-3*x-31,5*x,-11,19*x+24,-10*x-60,19*x+72,5*x+10,-63*x-72,17*x-16,-10*x+24,45*x+156,-35*x-80,x-16,-11*x,4*x+38,-69*x-88]];
E[55,3] = [x^3-5*x^2-11*x+59, [2,2*x,-3*x^2+6*x+35,2*x^2-16,-10,-9*x^2+2*x+177,19*x^2-10*x-291,10*x^2-10*x-118,-15*x^2-6*x+293,-10*x,-22,-19*x^2+30*x+251,-38*x^2+24*x+546,85*x^2-82*x-1121,15*x^2-30*x-175,24*x^2-8*x-462,-37*x^2+50*x+557,-81*x^2+128*x+885,-59*x^2+82*x+775,-10*x^2+80,73*x^2-142*x-933,-22*x,82*x^2-88*x-918,7*x^2+26*x-295]];
E[55,4] = [x^4-x^3-25*x^2+9*x+96, [4,4*x,-x^3+2*x^2+15*x-8,4*x^2-32,20,x^3-10*x^2+x+96,x^3-10*x^2-15*x+128,4*x^3-64*x,-3*x^3+6*x^2+21*x+4,20*x,44,-x^3+10*x^2-33*x-32,4*x^3+16*x^2-92*x-160,-9*x^3+10*x^2+119*x-96,-5*x^3+10*x^2+75*x-40,4*x^3+4*x^2-36*x-128,x^3-10*x^2-87*x+240,3*x^3-54*x^2+31*x+288,-x^3-30*x^2+55*x+176,20*x^2-160,-9*x^3+2*x^2+255*x-160,44*x,2*x^3+12*x^2-70*x-216,x^3+22*x^2-31*x-672]];

E[56,1] = [x, [1,0,-2,0,-16,0,-7,0,-23,0,24,0,-68,0,32,0,54,0,-46,0,14,0,176,0,131,0,100,0,-174,0,-116,0]];
E[56,2] = [x, [1,0,6,0,8,0,-7,0,9,0,56,0,-28,0,48,0,-90,0,74,0,-42,0,-96,0,-61,0,-108,0,-222,0,-100,0]];
E[56,3] = [x^2+2*x-56, [1,0,x,0,-x+10,0,7,0,-2*x+29,0,-6*x+12,0,5*x+26,0,12*x-56,0,6*x+10,0,-13*x-72,0,7*x,0,-4*x-56,0,-22*x+31,0,6*x-112,0,-22*x-50,0,14*x+24,0]];

E[57,1] = [x, [1,-1,3,-7,-12,-3,-20,15,9,12,-4,-21,-76,20,-36,41,22,-9,-19,84,-60,4,82,45,19,76]];
E[57,2] = [x^2-x-8, [1,x,-3,x,2*x+10,-3*x,4*x+16,-7*x+8,9,12*x+16,-14*x+22,-3*x,-10*x-22,20*x+32,-6*x-30,-7*x-56,-24*x+6,9*x,-19,12*x+16,-12*x-48,8*x-112,24*x+110,21*x-24,44*x+7,-32*x-80]];
E[57,3] = [x^3+3*x^2-12*x+6, [1,x,-3,x^2-8,-3*x^2-14*x+15,-3*x,5*x^2+18*x-43,-3*x^2-4*x-6,9,-5*x^2-21*x+18,15*x^2+66*x-117,-3*x^2+24,-12*x^2-36*x+74,3*x^2+17*x-30,9*x^2+42*x-45,-3*x^2-42*x+82,-21*x^2-98*x+117,9*x,19,18*x^2+70*x-90,-15*x^2-54*x+129,21*x^2+63*x-90,-12*x^2-40*x-60,9*x^2+12*x+18,43*x^2+210*x-242,-70*x+72]];
E[57,4] = [x^4-3*x^3-24*x^2+66*x+48, [2,2*x,6,2*x^2-16,-x^3-3*x^2+20*x+36,6*x,3*x^3+x^2-60*x+16,2*x^3-32*x,18,-6*x^3-4*x^2+102*x+48,-5*x^3-3*x^2+84*x+36,6*x^2-48,-24*x+52,10*x^3+12*x^2-182*x-144,-3*x^3-9*x^2+60*x+108,6*x^3-132*x+32,5*x^3+15*x^2-100*x-180,18*x,38,-14*x^3-18*x^2+284*x,9*x^3+3*x^2-180*x+48,-18*x^3-36*x^2+366*x+240,-10*x^3+6*x^2+208*x-252,6*x^3-96*x,9*x^3+11*x^2-156*x-82,-24*x^2+52*x]];

E[58,1] = [x, [1,-2,7,4,5,-14,-2,-8,22,-10,37,28,27,4,35,16,24,-44,-88,20,-14,-74,-28,-56,-100,-54,-35,-8,-29,-70]];
E[58,2] = [x^2+2*x-5, [1,-2,x,4,-6*x-11,-2*x,8*x,-8,-2*x-22,12*x+22,3*x-42,4*x,-8*x-33,-16*x,x-30,16,-16*x-38,4*x+44,4*x+58,-24*x-44,-16*x+40,-6*x+84,78*x+64,-8*x,60*x+176,16*x+66,-45*x-10,32*x,29,-2*x+60]];
E[58,3] = [x, [1,2,-7,4,-15,-14,-18,8,22,-30,27,-28,-57,-36,105,16,-44,44,152,-60,126,54,-152,-56,100,-114,35,-72,-29,210]];
E[58,4] = [x^3-2*x^2-41*x+96, [3,6,3*x,12,x^2-4*x-6,6*x,-4*x^2-8*x+144,24,3*x^2-81,2*x^2-8*x-12,-2*x^2-7*x+72,12*x,11*x^2-2*x-318,-8*x^2-16*x+288,-2*x^2+35*x-96,48,-16*x^2+4*x+390,6*x^2-162,10*x^2+44*x-480,4*x^2-16*x-24,-16*x^2-20*x+384,-4*x^2-14*x+144,12*x^2+42*x-576,24*x,11*x^2-98*x-171,22*x^2-4*x-636,6*x^2-39*x-288,-16*x^2-32*x+576,87,-4*x^2+70*x-192]];

E[59,1] = [x^2-x-4, [1,x,-3*x+1,x-4,3*x-17,-2*x-12,2*x-5,-11*x+4,3*x+10,-14*x+12,x+6,10*x-16,9*x-52,-3*x+8,45*x-53,-15*x-12,-3*x+86,13*x+12,27*x-67,-26*x+80]];
E[59,2] = [x^2+4*x-1, [1,x,-1,-4*x-7,-2*x-1,-x,-2*x-15,x-4,-26,7*x-2,2*x-20,4*x+7,22*x+28,-7*x-2,2*x+1,24*x+57,-24*x-90,-26*x,20*x+39,-14*x+15]];
E[59,3] = [x^10-3*x^9-63*x^8+163*x^7+1392*x^6-2766*x^5-13388*x^4+15252*x^3+55232*x^2-13688*x-52384, [30516688,30516688*x,-150283*x^9+190363*x^8+8240685*x^7-8027709*x^6-137837164*x^5+82127180*x^4+721646096*x^3+18964812*x^2-531714632*x-163370672,30516688*x^2-244133504,31423*x^9+723327*x^8-2668847*x^7-40763069*x^6+68695170*x^5+713036160*x^4-566836964*x^3-4133342068*x^2+289384936*x+4767110352,-260486*x^9-1227144*x^8+16468420*x^7+71356772*x^6-333555598*x^5-1290342708*x^4+2311081128*x^3+7768716024*x^2-2220444376*x-7872424672,879962*x^9-867900*x^8-49166792*x^7+36032876*x^6+850962642*x^5-361975264*x^4-4845785684*x^3-198712128*x^2+5600815712*x+765417808,30516688*x^3-488267008*x,-140412*x^9+1938174*x^8+6332582*x^7-105959074*x^6-74267802*x^5+1777101424*x^4+166869428*x^3-9576684568*x^2-1392828368*x+10958432800,817596*x^9-689198*x^8-45885018*x^7+24954354*x^6+799952178*x^5-146145840*x^4-4612605664*x^3-1446170200*x^2+5197228376*x+1646062432,-1346878*x^9-1771494*x^8+78176406*x^7+116467130*x^6-1424759996*x^5-2351655048*x^4+8690300392*x^3+15930540008*x^2-8611291632*x-15691018656,-806338*x^9-1465102*x^8+47890510*x^7+93262586*x^6-908149672*x^5-1833322880*x^4+5968479728*x^3+12014999880*x^2-7184239984*x-12338333248,721426*x^9+1559410*x^8-42769346*x^7-95145102*x^6+799683964*x^5+1783810712*x^4-5007706008*x^3-10963742456*x^2+4301844848*x+9857757952,1771986*x^9+6270814*x^8-107400930*x^7-373944462*x^6+2071999628*x^5+6935145572*x^4-13619892552*x^3-43001245472*x^2+12810337664*x+46095929408,-1605253*x^9+446215*x^8+89099765*x^7+133431*x^6-1504353118*x^5-555616900*x^4+7812250596*x^3+8221744044*x^2-4345108904*x-11615519376,30516688*x^4-732400512*x^2+1953068032,-1316542*x^9-2805734*x^8+77938186*x^7+176460918*x^6-1463133176*x^5-3464743980*x^4+9370179000*x^3+22993031080*x^2-9850187296*x-25274316768,1516938*x^9-2513374*x^8-83071918*x^7+121185702*x^6+1388721832*x^5-1712966428*x^4-7435120744*x^3+6362407216*x^2+9036473344*x-7355342208,-332753*x^9-3374661*x^8+23694085*x^7+194037271*x^6-542700114*x^5-3469089096*x^4+4234369700*x^3+20480352188*x^2-3867120952*x-21619730224,1512206*x^9-163086*x^8-86963018*x^7-12036902*x^6+1565763336*x^5+629080304*x^4-9381448680*x^3-6893497352*x^2+10522236992*x+4692066048]];

E[60,1] = [x, [1,0,-3,0,-5,0,-28,0,9,0,-24,0,-70,0,15,0,102,0,20,0,84,0,-72,0,25,0,-27,0,306,0,-136,0,72,0,140,0,-214,0,210,0,-150,0,-292,0,-45,0,-72,0]];
E[60,2] = [x, [1,0,-3,0,5,0,32,0,9,0,36,0,-10,0,-15,0,-78,0,140,0,-96,0,-192,0,25,0,-27,0,6,0,-16,0,-108,0,160,0,-34,0,30,0,-390,0,-52,0,45,0,408,0]];

E[61,1] = [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, [6976,6976*x,-343*x^8-254*x^7+19160*x^6+18338*x^5-334229*x^4-371728*x^3+1872496*x^2+2343616*x-316928,6976*x^2-55808,886*x^8+522*x^7-49356*x^6-41252*x^5+859918*x^4+879418*x^3-4827992*x^2-5726144*x+981888,-1283*x^8-734*x^7+71160*x^6+58506*x^5-1233001*x^4-1247432*x^3+6876704*x^2+8123616*x-1273216,555*x^8+404*x^7-30396*x^6-28874*x^5+516205*x^4+568922*x^3-2818608*x^2-3453792*x+637568,6976*x^3-111616*x,-1063*x^8-566*x^7+59064*x^6+46322*x^5-1024357*x^4-1010216*x^3+5699792*x^2+6706656*x-884800,3180*x^8+2032*x^7-177696*x^6-154552*x^5+3104164*x^4+3231064*x^3-17435520*x^2-20820800*x+3288832,1048*x^8+614*x^7-58596*x^6-48464*x^5+1024004*x^4+1038098*x^3-5733344*x^2-6864352*x+1016704,-1839*x^8-1222*x^7+102808*x^6+89330*x^5-1795213*x^4-1819640*x^3+10099776*x^2+11549920*x-2227072,40*x^8-346*x^7-2556*x^6+14432*x^5+55732*x^4-130814*x^3-392744*x^2-75936*x+150528,2069*x^8+1794*x^7-114344*x^6-119270*x^5+1962527*x^4+2229672*x^3-10788672*x^2-13019872*x+2060160,-588*x^8-560*x^7+31600*x^6+37416*x^5-518900*x^4-700904*x^3+2674336*x^2+3980256*x-39040,6976*x^4-167424*x^2+446464,-3954*x^8-2520*x^7+222424*x^6+193660*x^5-3926014*x^4-4100188*x^3+22379920*x^2+26685216*x-4633344,-3755*x^8-2590*x^7+210024*x^6+192778*x^5-3679409*x^4-3969256*x^3+20755264*x^2+25273504*x-3945856,-3889*x^8-2510*x^7+215600*x^6+185502*x^5-3724651*x^4-3768660*x^3+20669696*x^2+23777088*x-4067840,4484*x^8+2568*x^7-249424*x^6-206920*x^5+4336700*x^4+4454416*x^3-24223744*x^2-29155456*x+3949056]];
E[61,2] = [x^6+7*x^5-8*x^4-106*x^3-29*x^2+279*x-8, [96,96*x,-3*x^5-14*x^4+46*x^3+136*x^2-305*x-136,96*x^2-768,16*x^5+80*x^4-208*x^3-976*x^2+288*x+608,7*x^5+22*x^4-182*x^3-392*x^2+701*x-24,-17*x^5-90*x^4+154*x^3+1112*x^2+373*x-2488,96*x^3-1536*x,-3*x^5+2*x^4+222*x^3+472*x^2-1057*x-2344,-32*x^5-80*x^4+720*x^3+752*x^2-3856*x+128,-10*x^5-52*x^4-12*x^3+160*x^2+1570*x-656,-3*x^5-14*x^4-18*x^3-184*x^2+463*x+1144,14*x^5-68*x^4-604*x^3+1536*x^2+4842*x-5584,29*x^5+18*x^4-690*x^3-120*x^2+2255*x-136,-160*x^3-128*x^2+3360*x-1024,96*x^4-2304*x^2+6144,58*x^5+516*x^4-36*x^3-7056*x^2-3746*x+11056,23*x^5+198*x^4+154*x^3-1144*x^2-1507*x-24,-41*x^5-186*x^4+890*x^3+2824*x^2-5219*x-3288,16*x^5-176*x^4-976*x^3+3024*x^2+6752*x-5120]];

E[62,1] = [x, [1,2,-8,4,-3,-16,-35,8,37,-6,-46,-32,20,-70,24,16,8,74,97,-12,280,-92,28,-64,-116,40,-80,-140,-206,48,-31,32]];
E[62,2] = [x^3-4*x^2-34*x+124, [2,4,2*x,8,-x^2-2*x+42,4*x,3*x^2-6*x-62,16,2*x^2-54,-2*x^2-4*x+84,-8*x^2-6*x+248,8*x,2*x^2+2*x-72,6*x^2-12*x-124,-6*x^2+8*x+124,32,4*x^2+20*x-204,4*x^2-108,13*x^2-2*x-406,-4*x^2-8*x+168,6*x^2+40*x-372,-16*x^2-12*x+496,-18*x^2-12*x+492,16*x,-7*x^2-10*x+136,4*x^2+4*x-144,8*x^2-40*x-248,12*x^2-24*x-248,20*x^2-22*x-628,-12*x^2+16*x+248,62,64]];
E[62,3] = [x, [1,-2,-2,4,1,4,-11,-8,-23,-2,-18,-8,-82,22,-2,16,-6,46,25,4,22,36,58,16,-124,164,100,-44,180,4,31,-32]];
E[62,4] = [x^3-4*x^2-92*x+336, [12,-24,12*x,48,x^2+16*x-84,-24*x,-5*x^2-32*x+444,-96,12*x^2-324,-2*x^2-32*x+168,-14*x^2+4*x+840,48*x,-2*x^2-20*x+720,10*x^2+64*x-888,20*x^2+8*x-336,192,6*x^2-24*x-144,-24*x^2+648,-17*x^2+40*x+1068,4*x^2+64*x-336,-52*x^2-16*x+1680,28*x^2-8*x-1680,24*x^2-144*x-1920,-96*x,27*x^2+24*x-1920,4*x^2+40*x-1440,48*x^2+456*x-4032,-20*x^2-128*x+1776,8*x^2-196*x-744,-40*x^2-16*x+672,-372,-384]];

E[63,1] = [x, [1,1,0,-7,-16,0,-7,-15,0,-16,8,0,28,-7,0,41,-54,0,-110,112,0,8,-48,0,131,28,0,49,110,0,12,161]];
E[63,2] = [x, [1,-4,0,8,4,0,-7,0,0,-16,-62,0,-62,28,0,-64,-84,0,100,32,0,248,42,0,-109,248,0,-56,10,0,-48,256]];
E[63,3] = [x, [1,3,0,1,18,0,7,-21,0,54,36,0,-34,21,0,-71,-42,0,-124,18,0,108,0,0,199,-102,0,7,-102,0,-160,-45]];
E[63,4] = [x^2-3*x-12, [1,x,0,3*x+4,-2*x,0,7,5*x+36,0,-6*x-24,-10*x+18,0,-12*x+26,7*x,0,27*x+28,2*x,0,-24*x+68,-26*x-72,0,-12*x-120,34*x-54,0,12*x-77,-10*x-144,0,21*x+28,-24*x+162,0,72*x-88,69*x+36]];
E[63,5] = [x^2-19, [1,x,0,11,2*x,0,-7,3*x,0,38,-10*x,0,82,-7*x,0,-31,-18*x,0,-20,22*x,0,-190,-30*x,0,-49,82*x,0,-77,56*x,0,156,-55*x]];

E[64,1] = [x, [1,0,8,0,10,0,-16,0,37,0,-40,0,50,0,80,0,-30,0,40,0,-128,0,-48,0,-25,0,80,0,34,0,-320,0]];
E[64,2] = [x, [1,0,-4,0,2,0,-24,0,-11,0,-44,0,-22,0,-8,0,50,0,44,0,96,0,56,0,-121,0,152,0,-198,0,160,0]];
E[64,3] = [x, [1,0,-8,0,10,0,16,0,37,0,40,0,50,0,-80,0,-30,0,-40,0,-128,0,48,0,-25,0,-80,0,34,0,320,0]];
E[64,4] = [x, [1,0,4,0,2,0,24,0,-11,0,44,0,-22,0,8,0,50,0,-44,0,96,0,-56,0,-121,0,-152,0,-198,0,-160,0]];
E[64,5] = [x, [1,0,0,0,-22,0,0,0,-27,0,0,0,18,0,0,0,-94,0,0,0,0,0,0,0,359,0,0,0,130,0,0,0]];

E[65,1] = [x, [1,5,2,17,-5,10,-12,45,-23,-25,14,34,-13,-60,-10,89,98,-115,-26,-85,-24,70,-114,90,25,-65,-100,-204]];
E[65,2] = [x^2-x-4, [1,x,4*x-2,x-4,-5,2*x+16,-2*x+30,-11*x+4,41,-5*x,2*x-44,-14*x+24,-13,28*x-8,-20*x+10,-15*x-12,-32*x+2,41*x,22*x+72,-5*x+20,116*x-92,-42*x+8,-64*x+62,-6*x-184,25,-13*x,56*x-28,36*x-128]];
E[65,3] = [x^2+2*x-5, [1,x,-x-3,-2*x-3,5,-x-5,-2*x-12,-7*x-10,4*x-13,5*x,x-51,5*x+19,-13,-8*x-10,-5*x-15,20*x-11,42*x+68,-21*x+20,39*x+39,-10*x-15,14*x+46,-53*x+5,-63*x-69,17*x+65,25,-13*x,36*x+100,22*x+56]];
E[65,4] = [x^2-4*x+1, [1,x,-3*x+1,4*x-9,-5,-11*x+3,-4*x-10,-x-4,30*x-35,-5*x,3*x-11,-17*x+3,13,-26*x+4,15*x-5,-40*x+73,-2*x-48,85*x-30,17*x-41,-20*x+45,74*x-22,x-3,3*x+11,23*x-7,25,13*x,-144*x+28,-68*x+106]];
E[65,5] = [x^5-37*x^3+4*x^2+240*x+192, [16,16*x,x^4-4*x^3-37*x^2+104*x+208,16*x^2-128,80,-4*x^4+100*x^2-32*x-192,6*x^4-190*x^2+120*x+800,16*x^3-256*x,-2*x^4+74*x^2-104*x-176,80*x,-7*x^4+4*x^3+195*x^2-320*x-240,-8*x^4-16*x^3+280*x^2-64*x-896,208,32*x^3+96*x^2-640*x-1152,5*x^4-20*x^3-185*x^2+520*x+1040,16*x^4-384*x^2+1024,18*x^4-40*x^3-698*x^2+1232*x+3264,-96*x^2+304*x+384,-19*x^4+36*x^3+703*x^2-1296*x-3184,80*x^2-640,14*x^4-8*x^3-550*x^2+160*x+3296,4*x^4-64*x^3-292*x^2+1440*x+1344,-35*x^4-20*x^3+1071*x^2-56*x-3888,16*x^4-16*x^3-832*x^2+1280*x+3072,400,208*x,-10*x^4+56*x^3+562*x^2-1632*x-4256,-16*x^4+96*x^3+880*x^2-2112*x-6400]];

E[66,1] = [x, [1,-2,3,4,0,-6,14,-8,9,0,11,12,80,-28,0,16,30,-18,56,0,42,-22,-126,-24,-125,-160,27,56,-222,0,-16,-32,33,-60,0,36,-106,-112,240,0,114,-84,-52,44,0,252,246,48]];
E[66,2] = [x, [1,2,-3,4,10,-6,16,8,9,20,11,-12,10,32,-30,16,-10,18,-144,40,-48,22,-84,-24,-25,20,-27,64,218,-60,-176,32,-33,-20,160,36,46,-288,-30,80,-26,-96,-488,44,90,-168,404,-48]];
E[66,3] = [x^2-10*x-72, [1,2,3,4,x,6,-3*x+14,8,9,2*x,-11,12,7*x-28,-6*x+28,3*x,16,-2*x-30,18,-10*x+20,4*x,-9*x+42,-22,5*x-126,24,10*x-53,14*x-56,27,-12*x+56,-6*x-138,6*x,16*x-16,32,-33,-4*x-60,-16*x-216,36,-32*x+254,-20*x+40,21*x-84,8*x,24*x-186,-18*x+84,8*x+200,-44,9*x,10*x-252,3*x-210,48]];

E[67,1] = [x^9-8*x^8-21*x^7+263*x^6-62*x^5-2261*x^4+1382*x^3+4970*x^2+1224*x+8, [41216,41216*x,-647*x^8+5499*x^7+12076*x^6-181485*x^5+88051*x^4+1566932*x^3-1254606*x^2-3418848*x-414808,41216*x^2-329728,-57*x^8-491*x^7+5332*x^6+19725*x^5-116707*x^4-267028*x^3+612590*x^2+1409952*x+768856,323*x^8-1511*x^7-11324*x^6+47937*x^5+104065*x^4-360452*x^3-203258*x^2+377120*x+5176,626*x^8-5002*x^7-12552*x^6+155942*x^5-50650*x^4-1136824*x^3+889444*x^2+1197440*x+473552,41216*x^3-659456*x,-50*x^8+2778*x^7-13400*x^6-81670*x^5+447850*x^4+518680*x^3-3215556*x^2-401536*x+2610864,-947*x^8+4135*x^7+34716*x^6-120241*x^5-395905*x^4+691364*x^3+1693242*x^2+838624*x+456,2072*x^8-18984*x^7-26880*x^6+605416*x^5-647976*x^4-4850048*x^3+6681808*x^2+8860544*x-650944,6249*x^8-48533*x^7-133620*x^6+1575971*x^5-334557*x^4-13185100*x^3+8808658*x^2+26960608*x+3315880,390*x^8-5182*x^7+1480*x^6+183650*x^5-319598*x^4-1923080*x^3+2420780*x^2+6602368*x+2394736,6*x^8+594*x^7-8696*x^6-11838*x^5+278562*x^4+24312*x^3-1913780*x^2-292672*x-5008,-11357*x^8+88953*x^7+243300*x^6-2894111*x^5+568993*x^4+24198044*x^3-15255866*x^2-49079456*x-7549768,41216*x^4-989184*x^2+2637824,-4627*x^8+41671*x^7+68572*x^6-1350097*x^5+1169567*x^4+11282404*x^3-12545414*x^2-24382624*x-1365560,2378*x^8-14450*x^7-68520*x^6+444750*x^5+405630*x^4-3146456*x^3-153036*x^2+2672064*x+400,4600*x^8-34040*x^7-101568*x^6+1073640*x^5-145912*x^4-8310912*x^3+5866288*x^2+13025728*x+151616,-2985*x^8+18757*x^7+86164*x^6-612419*x^5-516147*x^4+5138220*x^3+644494*x^2-10120032*x-6143272,-3996*x^8+37164*x^7+62512*x^6-1245236*x^5+877068*x^4+11258064*x^3-9568824*x^2-28759680*x-4619360,-2408*x^8+16632*x^7+60480*x^6-519512*x^5-165256*x^4+3818304*x^3-1437296*x^2-3187072*x-16576]];
E[67,2] = [x^7+6*x^6-17*x^5-119*x^4+48*x^3+473*x^2-76*x-380, [256,256*x,-5*x^6-23*x^5+98*x^4+413*x^3-511*x^2-1528*x+964,256*x^2-2048,24*x^6+120*x^5-432*x^4-2104*x^3+1400*x^2+4928*x-3488,7*x^6+13*x^5-182*x^4-271*x^3+837*x^2+584*x-1900,-12*x^6-68*x^5+88*x^4+876*x^3+1692*x^2+384*x-7376,256*x^3-4096*x,-17*x^6-75*x^5+474*x^4+1705*x^3-3283*x^2-5784*x+2804,-24*x^6-24*x^5+752*x^4+248*x^3-6424*x^2-1664*x+9120,-7*x^6+3*x^5+566*x^4+623*x^3-7925*x^2-4616*x+13740,11*x^6+121*x^5-222*x^4-2803*x^3+1361*x^2+10856*x-5052,-79*x^6-597*x^5+486*x^4+10167*x^3+10035*x^2-20584*x-22132,4*x^6-116*x^5-552*x^4+2268*x^3+6060*x^2-8288*x-4560,65*x^6+267*x^5-1658*x^4-5049*x^3+13651*x^2+20376*x-32372,256*x^4-6144*x^2+16384,60*x^6+580*x^5-88*x^4-11196*x^3-13212*x^2+36128*x+19216,27*x^6+185*x^5-318*x^4-2467*x^3+2257*x^2+1512*x-6460,64*x^6+352*x^5-544*x^4-5568*x^3-8288*x^2+10208*x+22464,-72*x^6-616*x^5+848*x^4+11560*x^3-1512*x^2-32128*x+18784,96*x^6+672*x^5-1344*x^4-12384*x^3+4000*x^2+39040*x-20864,45*x^6+447*x^5-210*x^4-7589*x^3-1305*x^2+13208*x-2660]];

E[68,1] = [x, [1,0,-2,0,-8,0,-12,0,-23,0,-10,0,-38,0,16,0,-17,0,4,0,24,0,120,0,-61,0,100,0,56,0,164,0,20,0,96,0]];
E[68,2] = [x^3-4*x^2-64*x+304, [1,0,x,0,x^2+2*x-42,0,-3*x^2-7*x+156,0,x^2-27,0,2*x^2+3*x-80,0,-x^2-8*x+86,0,6*x^2+22*x-304,0,17,0,-8*x^2-10*x+356,0,-19*x^2-36*x+912,0,11*x^2+21*x-596,0,16*x^2+40*x-793,0,4*x^2+10*x-304,0,3*x^2-10*x-146,0,-5*x^2-41*x+204,0,11*x^2+48*x-608,0,-24*x^2-82*x+1048,0]];

E[69,1] = [x^2+4*x-1, [1,x,3,-4*x-7,-x-15,3*x,-7*x-19,x-4,9,-11*x-1,10*x-10,-12*x-21,30*x+48,9*x-7,-3*x-45,24*x+57,x-73,9*x,-33*x-89,51*x+109,-21*x-57,-50*x+10,-23,3*x-12,26*x+101,-72*x+30,27,13*x+161,-54*x-216,-33*x-3,78*x+318,-47*x+56]];
E[69,2] = [x^2+2*x-7, [1,x,-3,-2*x-1,-4*x,-3*x,x-13,-5*x-14,9,8*x-28,7*x-29,6*x+3,6*x-24,-15*x+7,12*x,12*x-27,-5*x+43,9*x,24*x-50,-12*x+56,-3*x+39,-43*x+49,23,15*x+42,-32*x-13,-36*x+42,-27,29*x-1,66*x-36,-24*x+84,-54*x-138,-11*x+196]];
E[69,3] = [x^4-4*x^3-21*x^2+56*x+80, [4,4*x,12,4*x^2-32,-x^3+13*x+28,12*x,x^3-12*x^2-x+124,4*x^3-64*x,36,-4*x^3-8*x^2+84*x+80,4*x^2-36*x+48,12*x^2-96,-4*x^3+8*x^2+36*x-16,-8*x^3+20*x^2+68*x-80,-3*x^3+39*x+84,16*x^3-12*x^2-224*x-64,13*x^3-28*x^2-237*x+340,36*x,-5*x^3+56*x^2-7*x-524,-16*x^3+200*x+96,3*x^3-36*x^2-3*x+372,4*x^3-36*x^2+48*x,92,12*x^3-192*x,4*x^3+24*x^2-52*x-524,-8*x^3-48*x^2+208*x+320,108,-20*x^3-4*x^2+376*x-352,2*x^3-16*x^2+54*x+80,-12*x^3-24*x^2+252*x+240,-26*x^3+80*x^2+338*x-936,20*x^3+112*x^2-448*x-1280]];
E[69,4] = [x^4+2*x^3-27*x^2-40*x+48, [4,4*x,-12,4*x^2-32,-x^3-4*x^2+33*x+60,-12*x,x^3-2*x^2-11*x+68,4*x^3-64*x,36,-2*x^3+6*x^2+20*x+48,-6*x^3-10*x^2+120*x+192,-12*x^2+96,4*x^3-4*x^2-120*x+80,-4*x^3+16*x^2+108*x-48,3*x^3+12*x^2-99*x-180,-8*x^3+12*x^2+160*x+64,3*x^3+14*x^2-117*x-252,36*x,9*x^3-4*x^2-241*x+92,18*x^3-2*x^2-296*x-384,-3*x^3+6*x^2+33*x-204,2*x^3-42*x^2-48*x+288,-92,-12*x^3+192*x,-28*x^3-36*x^2+568*x+820,-12*x^3-12*x^2+240*x-192,-108,16*x^3+16*x^2-120*x-352,10*x^3+64*x^2-178*x-912,6*x^3-18*x^2-60*x-144,2*x^3+38*x+488,-4*x^3-56*x^2+256*x+384]];

E[70,1] = [x, [1,2,7,4,-5,14,7,8,22,-10,-33,28,-43,14,-35,16,111,44,-70,-20,49,-66,42,56,25,-86,-35,28,-225,-70,-88,32,-231,222,-35,88,-34,-140,-301,-40,432,98,-178,-132,-110,84,411,112]];
E[70,2] = [x, [1,2,5,4,5,10,-7,8,-2,10,-1,20,7,-14,25,16,-51,-4,30,20,-35,-2,-50,40,25,14,-145,-28,79,50,-212,32,-5,-102,-35,-8,-190,60,35,40,-308,-70,422,-4,-10,-100,121,80]];
E[70,3] = [x, [1,-2,-8,4,-5,16,-7,-8,37,10,68,-32,34,14,40,16,74,-74,-128,-20,56,-136,-80,64,25,-68,-80,-28,286,-80,-24,-32,-544,-148,35,148,294,256,-272,40,66,-112,-124,272,-185,160,312,-128]];
E[70,4] = [x, [1,-2,-1,4,-5,2,7,-8,-26,10,-65,-4,13,-14,5,16,-73,52,-142,-20,-7,130,130,8,25,-26,53,28,111,-10,256,-32,65,146,-35,-104,-266,284,-13,40,-424,14,534,-260,130,-260,-269,-16]];
E[70,5] = [x, [1,-2,-3,4,5,6,-7,-8,-18,-10,-17,-12,-81,14,-15,16,-91,36,102,20,21,34,-90,24,25,162,135,-28,-129,30,116,-32,51,182,-35,-72,314,-204,243,-40,-124,-42,-434,-68,-90,180,497,-48]];
E[70,6] = [x, [1,-2,4,4,5,-8,7,-8,-11,-10,60,16,38,-14,20,16,42,22,-52,20,28,-120,120,-32,25,-76,-152,28,-234,-40,-304,-32,240,-84,35,-44,-106,104,152,-40,-54,-56,-196,240,-55,-240,336,64]];

E[71,1] = [x, [1,1,1,-7,-16,1,-1,-15,-26,-16,24,-7,7,-1,-16,41,72,-26,-153,112,-1,24,-213,-15]];
E[71,2] = [x^12-2*x^11-73*x^10+130*x^9+1904*x^8-2704*x^7-22040*x^6+19157*x^5+120890*x^4-39885*x^3-271282*x^2+25224*x+205032, [579110577808,579110577808*x,53003171975*x^11-222244180633*x^10-3394147947102*x^9+14367020066320*x^8+70247059311384*x^7-299462295248792*x^6-530813014893936*x^5+2220360369674643*x^4+1720914306293007*x^3-6136689941610594*x^2-1678953989872840*x+5354209608538152,579110577808*x^2-4632884622464,-49988110884*x^11+209667510744*x^10+3203748047804*x^9-13569746890768*x^8-66396782791392*x^7+283462922318944*x^6+502706624291632*x^5-2111779948485620*x^4-1625906490759768*x^3+5874361977364316*x^2+1577804330809856*x-5142905202824800,-116237836683*x^11+475083607073*x^10+7476607709570*x^9-30670980129016*x^8-156141718228392*x^7+637376895435064*x^6+1204978604149568*x^5-4686639153764743*x^4-4022658427387719*x^3+12699852509849110*x^2+4017257598640752*x-10867346356378200,348613579149*x^11-1435558970599*x^10-22401211764014*x^9+92751467432536*x^8+466836203372568*x^7-1930624017594056*x^6-3583535770708176*x^5+14254098227775777*x^4+11855850833202929*x^3-38941219165264602*x^2-11735668569071136*x+33579690091463400,579110577808*x^3-9265769244928*x,-358312837063*x^11+1473642208125*x^10+23021167316922*x^9-95159857650192*x^8-479675867771592*x^7+1978627192155560*x^6+3682416647710800*x^5-14572040152680675*x^4-12209103549194027*x^3+39644850951578622*x^2+12130039005606600*x-34033962854015592,109691288976*x^11-445384046728*x^10-7071292475848*x^9+28780580331744*x^8+148295070488608*x^7-599031339591728*x^6-1154157708280832*x^5+4417156234006992*x^4+3880586174755976*x^3-11983070366023432*x^2-3882005093886784*x+10249162350768288,-52598908604*x^11+226866591212*x^10+3364884444720*x^9-14749922980720*x^8-69422325529248*x^7+310907912942080*x^6+518402651484736*x^5-2365219892753676*x^4-1620449433110676*x^3+6810169209064224*x^2+1503135794832976*x-6134781974969568,-181417442093*x^11+769199076775*x^10+11593122216590*x^9-49761037714520*x^8-238906689446840*x^7+1038795045646584*x^6+1786633202722976*x^5-7733549308176993*x^4-5703608056596401*x^3+21577544320487898*x^2+5496268755096512*x-19001200737516360,73956437063*x^11-311565781421*x^10-4715038090402*x^9+20051748098632*x^8+96810610441192*x^7-414395295586136*x^6-720694179397232*x^5+3013503590322659*x^4+2325886442098555*x^3-8084291612467814*x^2-2263800223492544*x+6858649428551800,-738331812301*x^11+3047579513863*x^10+47431702143166*x^9-196924051327128*x^8-987972899575160*x^7+4099907513735784*x^6+7575707892018384*x^5-30288044750119681*x^4-25036766560906737*x^3+82836920409627882*x^2+24786261171009024*x-71476939360077768,224683861434*x^11-943990513482*x^10-14413588200824*x^9+61181143768728*x^8+299235197758384*x^7-1281459245395328*x^6-2273242968371568*x^5+9603902357321314*x^4+7367658102345590*x^3-26955588799511648*x^2-7197679795567544*x+23812966450305456,579110577808*x^4-13898653867392*x^2+37063076979712,202375938520*x^11-807844741480*x^10-13090949910304*x^9+52148994296000*x^8+276427556550432*x^7-1083030462372992*x^6-2185393133048832*x^5+7938500258625720*x^4+7511513394716632*x^3-21222779057265632*x^2-7669705896921376*x+17920505605687104,757016533999*x^11-3135669788677*x^10-48579188832002*x^9+202551773996360*x^8+1009749280737208*x^7-4214798281157720*x^6-7707841133064784*x^5+31107335323352043*x^4+25353543445320867*x^3-85073784058518166*x^2-24995879851938480*x+73465597608701016,530652865049*x^11-2199888245523*x^10-34066484817286*x^9+142246276507152*x^8+708501649280504*x^7-2965723633230360*x^6-5410892355891504*x^5+21987834947432445*x^4+17747493027551749*x^3-60580392449494786*x^2-17472870733099384*x+52633839587832040,173903418296*x^11-741168466552*x^10-11109271617568*x^9+48000831404448*x^8+228748168130512*x^7-1004265077801344*x^6-1705852783239296*x^5+7514245838332296*x^4+5399218620862472*x^3-21119628656814080*x^2-5140125368841184*x+18653017261271168,-1178759075953*x^11+4742962499963*x^10+76099670799230*x^9-306245477160424*x^8-1600670078341144*x^7+6363877281902664*x^6+12545165549490032*x^5-46736664015311445*x^4-42627158117643869*x^3+125712055045570010*x^2+43089119548556784*x-106673285358210120,121668774004*x^11-474835883372*x^10-7912064862200*x^9+30725996452768*x^8+168680464076864*x^7-640877294147424*x^6-1357582600626848*x^5+4738232628026884*x^4+4712261739393684*x^3-12766001329077352*x^2-4808027104342272*x+10784459428895328,1553821616745*x^11-6412135263635*x^10-99775357999294*x^9+414085302135000*x^8+2076626367957080*x^7-8611375293607816*x^6-15901770514090096*x^5+63454392423563309*x^4+52552913946328677*x^3-172889222282508026*x^2-52021704551045888*x+148699158525874088,1336266886053*x^11-5451019912783*x^10-85989631918990*x^9+351879961330360*x^8+1797376028054248*x^7-7310822384487256*x^6-13897964203197936*x^5+53721059748144313*x^4+46522977061710345*x^3-145317837849569594*x^2-46563187967288544*x+124135151838237576]];
E[71,3] = [x^4+3*x^3-14*x^2-32*x+24, [4,4*x,x^3-x^2-18*x+4,4*x^2-32,-3*x^3-3*x^2+32*x,-4*x^3-4*x^2+36*x-24,-2*x^3+2*x^2+24*x-64,4*x^3-64*x,6*x^3+12*x^2-54*x-68,6*x^3-10*x^2-96*x+72,2*x^3+14*x^2-4*x-168,-12*x^2-8*x+64,2*x^3+2*x^2+4*x-88,8*x^3-4*x^2-128*x+48,-5*x^3+13*x^2+138*x-120,-12*x^3-40*x^2+128*x+160,-10*x^3-6*x^2+124*x-144,-6*x^3+30*x^2+124*x-144,-10*x^3-44*x^2+154*x+368,-4*x^3+12*x^2+8*x-144,-14*x^3+2*x^2+252*x-64,8*x^3+24*x^2-104*x-48,20*x^3+12*x^2-212*x+336,20*x^3+24*x^2-224*x+192]];

E[72,1] = [x, [1,0,0,0,-16,0,-12,0,0,0,-64,0,58,0,0,0,-32,0,-136,0,0,0,128,0,131,0,0,0,144,0,20,0,0,0,192,0,-18,0,0,0,288,0,-200,0,0,0,-384,0]];
E[72,2] = [x, [1,0,0,0,16,0,-12,0,0,0,64,0,58,0,0,0,32,0,-136,0,0,0,-128,0,131,0,0,0,-144,0,20,0,0,0,-192,0,-18,0,0,0,-288,0,-200,0,0,0,384,0]];
E[72,3] = [x, [1,0,0,0,-14,0,-24,0,0,0,28,0,-74,0,0,0,-82,0,92,0,0,0,-8,0,71,0,0,0,138,0,80,0,0,0,336,0,30,0,0,0,-282,0,4,0,0,0,-240,0]];
E[72,4] = [x, [1,0,0,0,2,0,24,0,0,0,44,0,22,0,0,0,-50,0,44,0,0,0,56,0,-121,0,0,0,-198,0,-160,0,0,0,48,0,-162,0,0,0,198,0,52,0,0,0,-528,0]];

E[73,1] = [x, [1,3,-8,1,6,-24,-34,-21,37,18,6,-8,-34,-102,-48,-71,90,111,-16,6,272,18,60,168]];
E[73,2] = [x^7+12*x^6+33*x^5-87*x^4-454*x^3-229*x^2+520*x-108, [64,64*x,5*x^6+47*x^5+46*x^4-513*x^3-885*x^2+564*x+100,64*x^2-512,-16*x^6-152*x^5-160*x^4+1648*x^3+2872*x^2-2192*x-384,-13*x^6-119*x^5-78*x^4+1385*x^3+1709*x^2-2500*x+540,-12*x^6-108*x^5-120*x^4+1020*x^3+2324*x^2+304*x-1552,64*x^3-1024*x,40*x^6+344*x^5+192*x^4-3848*x^3-5000*x^2+5520*x-2240,40*x^6+368*x^5+256*x^4-4392*x^3-5856*x^2+7936*x-1728,6*x^6+146*x^5+852*x^4-14*x^3-9638*x^2-12216*x+8088,-3*x^6-25*x^5-114*x^4-89*x^3+1603*x^2+2788*x-2204,20*x^6+116*x^5-424*x^4-2468*x^3+3060*x^2+13344*x-7216,36*x^6+276*x^5-24*x^4-3124*x^3-2444*x^2+4688*x-1296,-78*x^6-682*x^5-436*x^4+7606*x^3+10926*x^2-8888*x-600,64*x^4-1536*x^2+4096,10*x^6+14*x^5-516*x^4-1154*x^3+4262*x^2+8936*x-5304,-136*x^6-1128*x^5-368*x^4+13160*x^3+14680*x^2-23040*x+4320,22*x^6+274*x^5+900*x^4-1182*x^3-10502*x^2-11688*x+5432,16*x^6+152*x^5+368*x^4-880*x^3-5880*x^2-4992*x+7392,-112*x^6-1024*x^5-912*x^4+11056*x^3+18016*x^2-13040*x-1696,74*x^6+654*x^5+508*x^4-6914*x^3-10842*x^2+4968*x+648,-16*x^6-272*x^5-1424*x^4-432*x^3+15344*x^2+27184*x-13920,115*x^6+937*x^5+274*x^4-10839*x^3-11571*x^2+19356*x-4644]];
E[73,3] = [x^10-7*x^9-39*x^8+322*x^7+347*x^6-4503*x^5+335*x^4+21892*x^3-6572*x^2-32256*x+8192, [315904,315904*x,168*x^9-1696*x^8-3888*x^7+74592*x^6-49184*x^5-935920*x^4+1130616*x^3+3400128*x^2-2359904*x-1810432,315904*x^2-2527232,661*x^9-3206*x^8-29841*x^7+133681*x^6+404328*x^5-1481443*x^4-1995248*x^3+3406812*x^2+4654048*x+2925568,-520*x^9+2664*x^8+20496*x^7-107480*x^6-179416*x^5+1074336*x^4-277728*x^3-1255808*x^2+3608576*x-1376256,-812*x^9+4084*x^8+41004*x^7-182832*x^6-705876*x^5+2397020*x^4+5251412*x^3-10027024*x^2-14056976*x+11488256,315904*x^3-5054464*x,-796*x^9+4040*x^8+32172*x^7-153516*x^6-322144*x^5+1361348*x^4+175232*x^3-1241488*x^2+4646656*x+5343744,1421*x^9-4062*x^8-79161*x^7+174961*x^6+1495040*x^5-2216683*x^4-11063800*x^3+8998140*x^2+24246784*x-5414912,-376*x^9+2268*x^8+19984*x^7-120052*x^6-358724*x^5+2020168*x^4+2567404*x^3-11428864*x^2-7018352*x+16296960,-2320*x^9+13784*x^8+91064*x^7-595712*x^6-873752*x^5+7383832*x^4+1083104*x^3-27009888*x^2+729856*x+18743296,2006*x^9-12612*x^8-74454*x^7+504422*x^6+604176*x^5-5110338*x^4+288008*x^3+8967144*x^2-4117728*x+9401344,-1600*x^9+9336*x^8+78632*x^7-424112*x^6-1259416*x^5+5523432*x^4+7749280*x^3-19393440*x^2-14703616*x+6651904,4843*x^9-21802*x^8-249143*x^7+1002055*x^6+4250680*x^5-13805909*x^4-28896376*x^3+61225604*x^2+63238720*x-48730112,315904*x^4-7581696*x^2+20217856,-926*x^9+5940*x^8+31126*x^7-222342*x^6-225088*x^5+1811330*x^4+1246016*x^3+2753688*x^2-18736320*x-21220352,-1532*x^9+1128*x^8+102796*x^7-45932*x^6-2223040*x^5+441892*x^4+16184544*x^3-584656*x^2-20332032*x+6520832,2876*x^9-19632*x^8-114156*x^7+835172*x^6+1192824*x^5-9617364*x^4-3264856*x^3+25179472*x^2+3249504*x+8058880,597*x^9+1906*x^8-43873*x^7-67495*x^6+947456*x^5+311709*x^4-6148408*x^3+6331100*x^2+3188480*x-35045376,-4007*x^9+6546*x^8+268931*x^7-312499*x^6-6198584*x^5+4250553*x^4+55184280*x^3-13281044*x^2-142734528*x-15095808,-364*x^9+5320*x^8+1020*x^7-228252*x^6+327040*x^5+2693364*x^4-3197472*x^3-9489424*x^2+4168704*x+3080192,-5214*x^9+22668*x^8+246006*x^7-966254*x^6-3432104*x^5+11514450*x^4+13260584*x^3-37259816*x^2+5641376*x+33984512,1704*x^9-20728*x^8-12640*x^7+791128*x^6-1627800*x^5-6734384*x^4+26001376*x^3-4470720*x^2-84959232*x+30015488]];

E[74,1] = [x, [1,-2,-5,4,12,10,-7,-8,-2,-24,-63,-20,-28,14,-60,16,6,4,-70,48,35,126,-6,40,19,56,145,-28,-42,120,-292,-32,315,-12,-84,-8,37,140]];
E[74,2] = [x^3-4*x^2-54*x+251, [1,-2,x,4,2*x^2+5*x-87,-2*x,-5*x^2-9*x+221,-8,x^2-27,-4*x^2-10*x+174,9*x^2+14*x-366,4*x,-11*x^2-20*x+517,10*x^2+18*x-442,13*x^2+21*x-502,16,-14*x^2-22*x+616,-2*x^2+54,14*x^2+22*x-532,8*x^2+20*x-348,-29*x^2-49*x+1255,-18*x^2-28*x+732,-19*x^2-28*x+773,-8*x,37*x^2+70*x-1592,22*x^2+40*x-1034,4*x^2-251,-20*x^2-36*x+884,5*x^2-315,-26*x^2-42*x+1004,26*x^2+27*x-1103,-32,50*x^2+120*x-2259,28*x^2+44*x-1232,-40*x^2-84*x+1606,4*x^2-108,-37,-28*x^2-44*x+1064]];
E[74,3] = [x, [1,2,-5,4,-14,-10,-19,8,-2,-28,5,-20,6,-38,70,16,-72,-4,-44,-56,95,10,182,-40,71,12,145,-76,10,140,-244,32,-25,-144,266,-8,-37,-88]];
E[74,4] = [x^4-4*x^3-90*x^2+475*x-52, [51,102,51*x,204,5*x^3+8*x^2-395*x+622,102*x,-13*x^3-31*x^2+823*x+76,408,51*x^2-1377,10*x^3+16*x^2-790*x+1244,-6*x^3-81*x^2+270*x+2436,204*x,13*x^3+31*x^2-1180*x+1250,-26*x^3-62*x^2+1646*x+152,28*x^3+55*x^2-1753*x+260,816,52*x^3+124*x^2-3700*x+1430,102*x^2-2754,-58*x^3-52*x^2+4480*x-6440,20*x^3+32*x^2-1580*x+2488,-83*x^3-347*x^2+6251*x-676,-12*x^3-162*x^2+540*x+4872,-3*x^3+189*x^2+1002*x-9900,408*x,11*x^3-13*x^2-920*x+277,26*x^3+62*x^2-2360*x+2500,51*x^3-2754*x,-52*x^3-124*x^2+3292*x+304,91*x^3+217*x^2-6934*x+2426,56*x^3+110*x^2-3506*x+520,-31*x^3+134*x^2+2449*x-10976,1632,-105*x^3-270*x^2+5286*x-312,104*x^3+248*x^2-7400*x+2860,-8*x^3-74*x^2-1102*x+2024,204*x^2-5508,1887,-116*x^3-104*x^2+8960*x-12880]];

E[75,1] = [x, [1,-1,-3,-7,0,3,24,15,9,0,52,21,-22,-24,0,41,14,-9,-20,0,-72,-52,168,-45,0,22,-27,-168,230,0,-288,-161,-156,-14,0,-63,34,20,66,0]];
E[75,2] = [x, [1,-3,3,1,0,-9,-20,21,9,0,-24,3,-74,60,0,-71,-54,-27,-124,0,-60,72,120,63,0,222,27,-20,-78,0,200,45,-72,162,0,9,70,372,-222,0]];
E[75,3] = [x^2-2*x-18, [1,x,-3,2*x+10,0,-3*x,4*x-17,6*x+36,9,0,-4*x+18,-6*x-30,-16*x+7,-9*x+72,0,32*x+28,-20*x+54,9*x,4*x-1,0,-12*x+51,10*x-72,-12*x-54,-18*x-108,0,-25*x-288,-27,22*x-26,28*x+18,0,-28*x+89,44*x+288,12*x-54,14*x-360,0,18*x+90,24*x+118,7*x+72,48*x-21,0]];
E[75,4] = [x^2-3*x-8, [1,x,3,3*x,0,3*x,-6*x+12,x+24,9,0,-6*x-12,9*x,-6*x+48,-6*x-48,0,3*x+8,10*x+36,9*x,-24*x+64,0,-18*x+36,-30*x-48,8*x-36,3*x+72,0,30*x-48,27,-18*x-144,42*x-222,0,-12*x+44,9*x-168,-18*x-36,66*x+80,0,27*x,54*x+72,-8*x-192,-18*x+144,0]];
E[75,5] = [x^2+2*x-18, [1,x,3,-2*x+10,0,3*x,4*x+17,6*x-36,9,0,4*x+18,-6*x+30,-16*x-7,9*x+72,0,-32*x+28,-20*x-54,9*x,-4*x-1,0,12*x+51,10*x+72,-12*x+54,18*x-108,0,25*x-288,27,22*x+26,-28*x+18,0,28*x+89,44*x-288,12*x+54,-14*x-360,0,-18*x+90,24*x-118,7*x-72,-48*x-21,0]];
E[75,6] = [x^2+3*x-8, [1,x,-3,-3*x,0,-3*x,-6*x-12,x-24,9,0,6*x-12,9*x,-6*x-48,6*x-48,0,-3*x+8,10*x-36,9*x,24*x+64,0,18*x+36,-30*x+48,8*x+36,-3*x+72,0,-30*x-48,-27,-18*x+144,-42*x-222,0,12*x+44,9*x+168,-18*x+36,-66*x+80,0,-27*x,54*x-72,-8*x+192,18*x+144,0]];

E[76,1] = [x^2+5*x-2, [1,0,x,0,-5*x-15,0,4*x-5,0,-5*x-25,0,5*x-23,0,11*x+10,0,10*x-10,0,-6*x-15,0,-19,0,-25*x+8,0,-59*x-150,0,25*x+150,0,-27*x-10,0,65*x+240,0,80*x+156,0,-48*x+10,0,65*x+35,0,8*x+210,0,-45*x+22,0]];
E[76,2] = [x^3-x^2-70*x+88, [6,0,6*x,0,-x^2+3*x+64,0,x^2-9*x+44,0,6*x^2-162,0,-5*x^2-33*x+404,0,-12*x^2+6*x+540,0,2*x^2-6*x+88,0,19*x^2+21*x-736,0,114,0,-8*x^2+114*x-88,0,-2*x^2-60*x+320,0,-9*x^2-9*x+6,0,6*x^2+96*x-528,0,2*x^2-132*x-236,0,28*x^2+12*x-1552,0,-38*x^2+54*x+440,0,-11*x^2+69*x+308,0,20*x^2-156*x-1820,0,-6*x^2-300*x+1056,0]];

E[77,1] = [x, [1,3,4,1,12,12,7,-21,-11,36,11,4,38,21,48,-71,-48,-33,-70,12,28,33,12,-84,19,114,-152,7,126,144,-70,-45]];
E[77,2] = [x^2+2*x-7, [1,x,-2,-2*x-1,-3*x-5,-2*x,7,-5*x-14,-23,x-21,-11,4*x+2,2*x-38,7*x,6*x+10,12*x-27,31*x+55,-23*x,-3*x-51,x+47,-14,-11*x,18*x-10,10*x+28,12*x-37,-42*x+14,100,-14*x-7,-90*x-88,-2*x+42,71*x+101,-11*x+196]];
E[77,3] = [x^4+2*x^3-27*x^2-40*x+112, [4,4*x,-x^3+21*x+12,4*x^2-32,-2*x^3+2*x^2+40*x-24,2*x^3-6*x^2-28*x+112,-28,4*x^3-64*x,-4*x^3-12*x^2+72*x+236,6*x^3-14*x^2-104*x+224,-44,-2*x^3+26*x^2+24*x-320,3*x^3+20*x^2-83*x-236,-28*x,-2*x^3-8*x^2+2*x+376,-8*x^3+12*x^2+160*x-192,5*x^3-18*x^2-71*x+292,-4*x^3-36*x^2+76*x+448,4*x^3+14*x^2-130*x+40,-10*x^3+42*x^2+144*x-480,7*x^3-147*x-84,-44*x,-18*x^3+12*x^2+382*x-200,14*x^3+18*x^2-176*x-672,4*x^3-4*x^2-192*x+92,14*x^3-2*x^2-116*x-336,-12*x^3-108*x^2+216*x+1952,-28*x^2+224,-14*x^3+16*x^2+326*x-640,-4*x^3-52*x^2+296*x+224,9*x^3+50*x^2-111*x-724,-4*x^3-56*x^2+896]];
E[77,4] = [x^4+4*x^3-19*x^2-56*x+66, [5,5*x,x^3-2*x^2-22*x+21,5*x^2-40,-2*x^3-x^2+24*x-47,-6*x^3-3*x^2+77*x-66,-35,5*x^3-80*x,-2*x^3+19*x^2+44*x-192,7*x^3-14*x^2-159*x+132,55,13*x^3-21*x^2-226*x+228,-x^3+17*x^2+102*x-326,-35*x,6*x^3+13*x^2+28*x-39,-20*x^3-25*x^2+280*x-10,-5*x^3+15*x^2+70*x-380,27*x^3+6*x^2-304*x+132,-24*x^3-82*x^2+328*x+486,-26*x^3-18*x^2+332*x-86,-7*x^3+14*x^2+154*x-147,55*x,22*x^3+61*x^2-324*x-223,-25*x^3+45*x^2+340*x-330,4*x^3+57*x^2+32*x-566,21*x^3+83*x^2-382*x+66,10*x^3-35*x^2-40*x+105,-35*x^2+280,-18*x^3-114*x^2+296*x+1142,-11*x^3+142*x^2+297*x-396,65*x^3+30*x^2-1270*x-175,15*x^3-100*x^2-490*x+1320]];
E[77,5] = [x^5-x^4-42*x^3+18*x^2+368*x+352, [8,8*x,-x^4+x^3+34*x^2-34*x-152,8*x^2-64,4*x^3+4*x^2-104*x-144,-8*x^3-16*x^2+216*x+352,56,8*x^3-128*x,-4*x^3-20*x^2+136*x+472,4*x^4+4*x^3-104*x^2-144*x,88,-24*x^3-56*x^2+624*x+1216,x^4-5*x^3-38*x^2+42*x+200,56*x,2*x^4+18*x^3-48*x^2-548*x-432,8*x^4-192*x^2+512,-7*x^4+27*x^3+290*x^2-854*x-1784,-4*x^4-20*x^3+136*x^2+472*x,-10*x^4+10*x^3+308*x^2-340*x-752,8*x^4+32*x^3-248*x^2-640*x-256,-7*x^4+7*x^3+238*x^2-238*x-1064,88*x,14*x^4-58*x^3-552*x^2+1524*x+3984,-24*x^4+8*x^3+752*x^2-512*x-2816,-12*x^4-32*x^3+364*x^2+832*x-520,-4*x^4+4*x^3+24*x^2-168*x-352,-4*x^3+28*x^2+232*x-288,56*x^2-448,14*x^4-38*x^3-468*x^2+1004*x+2304,20*x^4+36*x^3-584*x^2-1168*x-704,7*x^4-7*x^3-302*x^2+238*x+2120,8*x^4+80*x^3-144*x^2-1408*x-2816]];

E[78,1] = [x, [1,-2,-3,4,-16,6,28,-8,9,32,34,-12,-13,-56,48,16,138,-18,108,-64,-84,-68,-52,24,131,26,-27,112,-190,-96,-176,-32,-102,-276,-448,36,342,-216,39,128,240,168,-140,136,-144,104,454,-48,441,-262,-414,-52,198,54,-544,-224]];
E[78,2] = [x, [1,-2,3,4,-16,-6,-8,-8,9,32,-38,12,-13,16,-48,16,-78,-18,-72,-64,-24,76,-52,-24,131,26,27,-32,242,96,76,-32,-114,156,128,36,342,144,-39,128,-336,48,76,-152,-144,104,94,48,-279,-262,-234,-52,-450,-54,608,64]];
E[78,3] = [x, [1,-2,3,4,10,-6,-8,-8,9,-20,40,12,13,16,30,16,130,-18,-20,40,-24,-80,0,-24,-25,-26,27,-32,-18,-60,-184,-32,120,-260,-80,36,-74,40,39,-80,-362,48,76,160,90,0,-452,48,-279,50,390,52,382,-54,400,64]];
E[78,4] = [x, [1,2,3,4,4,6,4,8,9,8,2,12,-13,8,12,16,-6,18,-36,16,12,4,-20,24,-109,-26,27,16,-14,24,-152,32,6,-12,16,36,-258,-72,-39,32,84,24,-188,8,36,-40,254,48,-327,-218,-18,-52,366,54,8,32]];
E[78,5] = [x, [1,2,-3,4,6,-6,20,8,9,12,24,-12,13,40,-18,16,-30,18,-16,24,-60,48,-72,-24,-89,26,-27,80,-282,-36,164,32,-72,-60,120,36,110,-32,-39,48,-126,-120,164,96,54,-144,-204,-48,57,-178,90,52,-738,-54,144,160]];
E[78,6] = [x, [1,2,-3,4,-20,-6,-32,8,9,-40,50,-12,-13,-64,60,16,-30,18,-120,-80,96,100,-20,-24,275,-26,-27,-128,82,120,-44,32,-150,-60,640,36,-306,-240,39,-160,108,192,-356,200,-180,-40,-178,-48,681,550,90,-52,198,-54,-1000,-256]];

E[79,1] = [x^2+x-4, [1,x,-1,-x-4,-6*x-3,-x,6*x+7,-11*x-4,-26,3*x-24,-10*x-50,x+4,22*x-5,x+24,6*x+3,15*x-12,20*x-4,-26*x,24*x+46,21*x+36,-6*x-7,-40*x-40,-24*x-162,11*x+4,28,-27*x+88]];
E[79,2] = [x^5+3*x^4-27*x^3-51*x^2+182*x+20, [16,16*x,-x^4+4*x^3+15*x^2-102*x+52,16*x^2-128,x^4-12*x^3-31*x^2+206*x-132,7*x^4-12*x^3-153*x^2+234*x+20,x^4-4*x^3+x^2+54*x-372,16*x^3-256*x,-x^4+4*x^3+47*x^2-38*x-188,-15*x^4-4*x^3+257*x^2-314*x-20,2*x^4+16*x^3-30*x^2-140*x+216,-25*x^4+4*x^3+471*x^2-438*x-556,15*x^4+28*x^3-257*x^2-254*x+180,-7*x^4+28*x^3+105*x^2-554*x-20,17*x^4+12*x^3-239*x^2+390*x-564,16*x^4-384*x^2+1024,-32*x^3-48*x^2+624*x-448,7*x^4+20*x^3-89*x^2-6*x+20,-24*x^4-72*x^3+408*x^2+856*x-1424,33*x^4-52*x^3-831*x^2+1062*x+1356,-33*x^4-12*x^3+703*x^2+122*x-1484,10*x^4+24*x^3-38*x^2-148*x-40,14*x^4-128*x^3-498*x^2+2252*x+1560,23*x^4-108*x^3-489*x^2+2122*x+340,-25*x^4+156*x^3+743*x^2-2590*x-796,-17*x^4+148*x^3+511*x^2-2550*x-300]];
E[79,3] = [x^12-4*x^11-68*x^10+262*x^9+1631*x^8-5739*x^7-17428*x^6+48800*x^5+90878*x^4-137547*x^3-208662*x^2+6740*x+6224, 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E[80,1] = [x, [1,0,-2,0,-5,0,-6,0,-23,0,-32,0,-38,0,10,0,26,0,-100,0,12,0,78,0,25,0,100,0,-50,0,108,0,64,0,30,0,266,0,76,0,22,0,-442,0,115,0,514,0]];
E[80,2] = [x, [1,0,-10,0,-5,0,18,0,73,0,16,0,-6,0,50,0,-6,0,124,0,-180,0,-42,0,25,0,-460,0,142,0,188,0,-160,0,-90,0,202,0,60,0,54,0,-66,0,-365,0,-38,0]];
E[80,3] = [x, [1,0,8,0,5,0,4,0,37,0,-12,0,-58,0,40,0,66,0,100,0,32,0,-132,0,25,0,80,0,-90,0,-152,0,-96,0,20,0,-34,0,-464,0,-438,0,-32,0,185,0,204,0]];
E[80,4] = [x, [1,0,6,0,-5,0,34,0,9,0,-16,0,58,0,-30,0,-70,0,-4,0,204,0,134,0,25,0,-108,0,-242,0,-100,0,-96,0,-170,0,-438,0,348,0,-138,0,-178,0,-45,0,-22,0]];
E[80,5] = [x, [1,0,-4,0,5,0,-16,0,-11,0,-36,0,-42,0,-20,0,-110,0,116,0,64,0,-16,0,25,0,152,0,198,0,-240,0,144,0,-80,0,-258,0,168,0,442,0,292,0,-55,0,-392,0]];
E[80,6] = [x, [1,0,-4,0,5,0,16,0,-11,0,60,0,86,0,-20,0,18,0,-44,0,-64,0,-48,0,25,0,152,0,-186,0,-176,0,-240,0,80,0,254,0,-344,0,186,0,100,0,-55,0,-168,0]];

E[81,1] = [x^2+3*x-6, [1,x,0,-3*x-2,-x-9,0,-3*x-1,-x-18,0,-6*x-6,-8*x-45,0,15*x+17,8*x-18,0,9*x+10,9*x-36,0,27*x+2,20*x+36,0,-21*x-48,-19*x-45,0,15*x-38,-28*x+90,0,-18*x+56,x+27,0,-3*x+17,-9*x+198,0,-63*x+54,19*x+27,0]];
E[81,2] = [x^2-3*x-6, [1,x,0,3*x-2,-x+9,0,3*x-1,-x+18,0,6*x-6,-8*x+45,0,-15*x+17,8*x+18,0,-9*x+10,9*x+36,0,-27*x+2,20*x-36,0,21*x-48,-19*x+45,0,-15*x-38,-28*x-90,0,18*x+56,x-27,0,3*x+17,-9*x-198,0,63*x+54,19*x-27,0]];
E[81,3] = [x^2-3*x-12, [1,x,0,3*x+4,2*x-9,0,-6*x+14,5*x+36,0,-3*x+24,-2*x-18,0,-6*x+41,-4*x-72,0,27*x+28,-24*x+45,0,18*x+38,-x+36,0,-24*x-24,-22*x+90,0,-24*x+4,23*x-72,0,-36*x-160,-26*x-81,0,48*x-76,69*x+36,0,-27*x-288,46*x-270,0]];
E[81,4] = [x^2+3*x-12, [1,x,0,-3*x+4,2*x+9,0,6*x+14,5*x-36,0,3*x+24,-2*x+18,0,6*x+41,-4*x+72,0,-27*x+28,-24*x-45,0,-18*x+38,-x-36,0,24*x-24,-22*x-90,0,24*x+4,23*x+72,0,36*x-160,-26*x+81,0,-48*x-76,69*x-36,0,27*x-288,46*x+270,0]];
E[81,5] = [x^2-3, [1,x,0,-5,-7*x,0,-22,-13*x,0,-21,34*x,0,-49,-22*x,0,1,21*x,0,-70,35*x,0,102,14*x,0,22,-49*x,0,110,-161*x,0,-112,105*x,0,63,154*x,0]];

E[82,1] = [x