\\ ---------------------------------------------------------------
\\ ap_s3g1new_1-38.gp
\\ ---------------------------------------------------------------
\\ This is a PARI readable list of Hecke eigenvalues a_p of a 
\\ basis of newforms in S_3(Gamma_1(N)) for 
\\        1 <= N <= 38.
\\ For each galois conjugacy class of newform we usually give a pair
\\   [f(x), [a_1(x),a_2(x),a_3(x),a_5(x),a_7(x)...,a_211(x)]]
\\ where f(x) is an irred poly and a_p(x) in Q(x)/(f(x)) is
\\ the p-th coefficient of the newform sum a_n q^n. 
\\ NOTE: If the a_p(x) do not all lie in Z[x] we multiply the 
\\ newform through by an integer to clear denominators.
\\ William A. Stein (was@math.berkeley.edu)
\\ Sun Feb  7 11:11:28 1999
\\ ---------------------------------------------------------------


E[7,1] = [x, [1,-3,0,0,-7,-6,0,0,0,18,-54,0,-38,0,58,0,-6,0,0,-118,114,0,-94,0,0,0,0,0,186,106,-222,2,0,-174,0,186,274,0,74,0,0,-342,0,-318,-62,282,0,-278]];

E[8,1] = [x, [1,-2,-2,0,0,14,0,2,-34,0,0,0,0,-46,14,0,0,-82,0,62,0,-142,0,158,146,-94,0,0,-178,0,98,0,62,-238,206,0,0,0,-322,0,0,-34,0,0,98,0,0,-226]];

E[9,1] = [x^2+3*x+3, [1,x,-3*x-6,2*x+6,-2*x-4,x,-4*x-4,18*x+27,11,-16*x-48,-26*x,32*x+32,-34,-7*x-21,61*x+122,28*x,0,29*x+87,-56*x-112,-31*x-31,-36*x-54,65,-38*x-76,28*x,144*x+216,115*x+230,-26*x,-40*x-40,-162*x-243,-52,-52*x-156,-16,92*x+276,109*x,5*x+5,-88*x-264,-20*x-40,-40*x-40,-106,110*x+330,-134*x,72*x+108,-232,-134*x,-265*x-265,144*x+216,290,-94*x-94]];

E[10,1] = [x^2+2*x+2, [1,x,-2*x-4,5*x+5,-2*x,-8,3*x+6,-7*x,20*x+20,-2*x-4,-40*x-40,52,3*x,-8,-42*x-84,18*x,53*x+106,20*x+20,-48,-62*x,-28,-47*x-94,0,18*x+36,-80*x-80,63*x,62,118*x+236,-142*x,10*x+10,23*x+46,118*x,-128,63*x,-140*x-140,150*x+150,52,-27*x,-82*x-164,-62*x,-107*x-214,220*x+220,2,212,-57*x-114,3*x,120*x+120,-328]];

E[11,1] = [x^4+5*x^3+15*x^2+15*x+5, [11,11*x,-3*x^3-14*x^2-55*x-45,-28*x^3-116*x^2-308*x-156,50*x^3+226*x^2+638*x+420,33*x^3+110*x^2+286*x+44,8*x^3+30*x^2+110*x+10,26*x^3+169*x^2+429*x+390,-8*x^3-52*x^2-143*x-65,-2*x^3-2*x^2-30,-146*x^3-652*x^2-1826*x-1200,-48*x^3-158*x^2-484*x-302,-180*x^3-774*x^2-1980*x-720,393*x^3+1636*x^2+4499*x+2045,-139*x^3-579*x^2-1738*x-985,-84*x^3-392*x^2-1210*x-930,-60*x^3-390*x^2-990*x-570,-17*x^3-105*x^2-187*x-68,38*x^3+236*x^2+616*x+570,-17*x^3-17*x^2-420,-452*x^3-1970*x^2-5654*x-2908,573*x^3+2454*x^2+6677*x+4360,48*x^3+180*x^2+242*x+60,131*x^3+604*x^2+1914*x+1965,-83*x^3-83*x^2+1373,-484*x^3-2013*x^2-5720*x-3465,240*x^3+900*x^2+2618*x+300,400*x^3+1654*x^2+4400*x+1600,473*x^3+1980*x^2+5445*x+2475,-674*x^3-3006*x^2-7832*x-4280,6*x^3+28*x^2+275*x+255,-308*x^3-1716*x^2-4796*x-4620,969*x^3+4247*x^2+11484*x+6340,-139*x^3-546*x^2-1320*x-655,-1060*x^3-4976*x^2-14388*x-9520,-94*x^3-138*x^2-1078*x-1410,-650*x^3-2256*x^2-6204*x-2820,1008*x^3+4704*x^2+12210*x+8850,1078*x^3+4631*x^2+13035*x+7865,-776*x^3-2910*x^2-6688*x-970,334*x^3+1104*x^2+3036*x+1380,-768*x^3-3584*x^2-10197*x-7637,-206*x^3-932*x^2-2816*x-1462,532*x^3+2270*x^2+5852*x+2128,28*x^3-324*x^2-44*x+420,1820*x^3+7804*x^2+22088*x+12340,-148*x^3-148*x^2+1982,-436*x^3-1635*x^2-3146*x-545]];
E[11,2] = [x, [1,0,-5,-1,0,-11,0,0,0,35,0,-37,-25,0,0,50,-70,107,0,35,-133,0,0,0,-97,95,0,-190,0,0,215,0,0,-265,0,0,0,215,-70,0,0,83,263,-157,0,0,2,0]];

E[12,1] = [x^2+2*x+4, [1,x,-x-1,-2,4*x+4,-4*x-4,2,10,-12*x-12,16*x+16,-26,-4*x-4,26,58,28*x+28,-40*x-40,-74,52*x+52,26,-4*x-4,0,-46,-68*x-68,-28*x-28,82,2,-74,44*x+44,-12*x-12,-46,-110,84*x+84,-68*x-68,10,-28*x-28,-2,52*x+52,-214,-12*x-12,-56*x-56,334,108*x+108,2,128*x+128,290,-26,-228*x-228,140*x+140]];
E[12,2] = [x, [1,0,-3,0,2,0,-22,0,26,0,0,-46,26,0,-22,0,0,0,74,122,0,-46,-142,0,0,2,0,194,0,-214,0,146,0,0,-22,0,-286,-118,-262,0,0,0,314,0,-382,0,386,-166]];

E[13,1] = [x^4+2*x^3+5*x^2+4*x+1, [1,x,-x^3-x^2-5*x-2,-5*x^3-7*x^2-23*x-13,2*x^3+4*x^2+14*x+12,-34*x^3-54*x^2-146*x-68,26*x^3+39*x^2+104*x+39,19*x^3+21*x^2+76*x+19,-13*x^3-20*x^2-56*x-23,21*x^3+39*x^2+99*x+60,16*x^3+21*x^2+70*x+27,-26*x^3-43*x^2-113*x-61,67*x^3+115*x^2+292*x+134,-23*x^3-23*x^2-96*x,-60*x^3-90*x^2-240*x-60,74*x^3+101*x^2+303*x+101,-27*x^2-27*x-22,-60*x^3-120*x^2-262*x-202,-61*x^3-81*x^2-202*x-101,-11*x^3-11*x^2-81*x,95*x^3+148*x^2+412*x+169,49*x^3+54*x^2+162*x+54,42*x^2+42*x+74,-42*x^3-50*x^2-202*x-118,-185*x^3-275*x^2-785*x-370,-111*x^3-184*x^2-498*x-203,175*x^3+294*x^2+763*x+469,142*x^3+213*x^2+697*x+313,-167*x^3-225*x^2-719*x-276,-112*x^3-183*x^2-489*x-265,281*x^3+429*x^2+1154*x+577,-25*x^3-63*x^2-151*x-88,-15*x^2-15*x-7,44*x^3+88*x^2+245*x+201,-76*x^3-102*x^2-256*x-128,277*x^3+330*x^2+1049*x+442,-286*x^3-373*x^2-1119*x-373,-42*x^2-42*x-109,-80*x^3-160*x^2-346*x-266,-102*x^3-106*x^2-410*x-204,-126*x^3-84*x^2-504*x-126,-22*x^3+42*x^2+62*x+20,96*x^3+144*x^2+246*x+99,-517*x^3-852*x^2-2374*x-1187,675*x^3+947*x^2+2836*x+1350,-85*x^3-85*x^2-193*x,-221*x^3-294*x^2-884*x-221,109*x^3+123*x^2+517*x+204]];
E[13,2] = [x^4+4*x^3+8*x^2-12*x+9, [21,21*x,3*x^3+6*x^2-9*x-81,6*x^3+33*x^2+87*x+27,11*x^3+50*x^2+100*x-150,-18*x^3-57*x^2-114*x+171,-16*x^3-109*x^2-281*x+33,48*x^3+201*x^2+528*x-288,4*x^3+22*x^2+86*x+18,15*x^3+114*x^2+165*x-90,15*x^3+30*x^2-45*x-90,8*x^3+44*x^2-38*x+36,-65*x^3-263*x^2-526*x+789,12*x^3+66*x^2+90*x+54,-63*x^3-315*x^2-693*x+378,117*x^3+402*x^2+804*x-1206,15*x^3+30*x^2-45*x-720,-168*x^3-630*x^2-1260*x+1890,6*x^3+12*x^2-18*x-1674,34*x^3+187*x^2+1172*x+153,168*x^3+924*x^2+2121*x+756,-100*x^3-340*x^2-680*x+1020,33*x^3+66*x^2-99*x-324,-66*x^3-363*x^2-1146*x-297,30*x^3-108*x^2-216*x+324,-166*x^3-913*x^2-3212*x-747,222*x^3+1032*x^2+2442*x-1332,-81*x^3-288*x^2-891*x+486,-66*x^3-132*x^2+198*x-234,166*x^3+913*x^2+3191*x+747,-84*x^3-168*x^2+252*x+1260,-203*x^3-1106*x^2-2233*x+1218,69*x^3+138*x^2-207*x-5265,-402*x^3-1917*x^2-3834*x+5751,-27*x^3-54*x^2+81*x+2787,12*x^3+66*x^2+1224*x+54,211*x^3+814*x^2+1628*x-2442,84*x^3+168*x^2-252*x+1344,124*x^3+493*x^2+986*x-1479,234*x^3+1518*x^2+3036*x-4554,177*x^3+690*x^2+1947*x-1062,-663*x^3-3237*x^2-7293*x+3978,-531*x^3-2070*x^2-5841*x+3186,87*x^3+174*x^2-261*x+108,-112*x^3-469*x^2-938*x+1407,258*x^3+1419*x^2+2733*x+1161,-293*x^3-1790*x^2-3223*x+1758,177*x^3+354*x^2-531*x-621]];

E[14,1] = [x^4+2*x^2+4, [2,2*x,x^3-x^2-2*x-4,-4*x^3+x^2-4*x-2,5*x^3+2*x^2+8*x+6,-3*x^3-9*x^2-6*x,-2*x^3+12*x^2-8*x+12,2*x^3-5*x^2-4*x-20,2*x^3-x^2+2*x+2,15*x^2-18*x+30,-6*x^3+24,-15*x^3-7*x^2+30*x-28,-31*x^2-48*x-62,10*x^3-4*x^2+40*x-4,-6*x^3-4,2*x^3-29*x^2+2*x+58,-12*x^3+39*x^2-24*x,25*x^3-13*x^2-50*x-52,-64*x^3+7*x^2-64*x-14,45*x^3+29*x^2+90*x,30*x^3-12,-16*x^3+53*x^2+32*x+212,55*x^2+30*x+110,4*x^3-136*x^2+16*x-136,48*x^3+63*x^2+48*x-126,-26*x^3+44*x^2-104*x+44,-18*x^3-9*x^2+36*x-36,26*x^3-51*x^2+26*x+102,33*x^2-114*x+66,78*x^3-35*x^2+156*x,-18*x^3+120,-66*x^3-308,-6*x^3+81*x^2-6*x-162,-30*x^3-75*x^2-60*x,-28*x^3-112*x,-33*x^2+84*x-66,-15*x^3-113*x^2-30*x,48*x^3-63*x^2-96*x-252,-65*x^2+222*x-130,-76*x^3-20*x^2-304*x-20,-96*x^3+27*x^2-96*x-54,-27*x^3+147*x^2-54*x,52*x^3-32*x^2+208*x-32,-159*x^2+126*x-318,-66*x^3+61*x^2-132*x,-162*x^3+96,37*x^3+149*x^2-74*x+596,174*x^3+236]];

E[15,1] = [x, [1,-1,3,-5,0,0,0,14,-22,-34,0,2,0,0,0,14,86,0,-118,0,0,0,98,-154,0,0,0,0,-106,-22,206,0,0,-226,-262,0,-238,0,0,254,-154,0,122,0,0,374,-142,362]];
E[15,2] = [x, [1,1,-3,5,0,0,0,-14,-22,34,0,2,0,0,0,-14,-86,0,-118,0,0,0,98,154,0,0,0,0,106,-22,-206,0,0,226,-262,0,-238,0,0,-254,154,0,122,0,0,-374,-142,362]];
E[15,3] = [x^2+5, [1,x,-x-2,-x,-6,-2*x,16,-2*x,-2,-6*x,14*x,-18,-16,-28*x,16,22*x,-2*x,-2*x,82,24,56*x,-74,138,42*x,-48*x,-166,-30*x,26,-90*x,38,-14*x,-26,-6*x,54*x,-82,50*x,-158,164,236,-42*x,-6*x,-86*x,2,92*x,-214,42*x,-242,2]];
E[15,4] = [x^4+4*x^3+8*x^2-4*x+1, [5,5*x,3*x^3+11*x^2+22*x-11,5*x^3+20*x^2+30*x-30,6*x^3+27*x^2+64*x+3,-3*x^3-6*x^2+3*x+56,10*x^3+50*x^2+100*x-50,-32*x^3-144*x^2-318*x-16,18*x^3+66*x^2+162*x-36,-22*x^3-104*x^2-208*x+104,71*x^3+302*x^2+639*x-142,-6*x^3-12*x^2+6*x+52,-4*x^3-18*x^2-126*x-2,-6*x^3-12*x^2+6*x+2,64*x^3+238*x^2+476*x-238,84*x^3+378*x^2+806*x+42,8*x^3+6*x^2+12*x-6,-83*x^3-296*x^2-747*x+166,18*x^3+36*x^2-18*x+34,-92*x^3-414*x^2-808*x-46,-340,-182*x^3-699*x^2-1398*x+699,-50*x^3-200*x^2-450*x+100,-34*x^3-118*x^2-236*x+118,168*x^3+666*x^2+1512*x-336,-42*x^3-189*x^2-458*x-21,57*x^3+114*x^2-57*x-514,184*x^3+803*x^2+1606*x-803,124*x^3+558*x^2+1266*x+62,138*x^3+606*x^2+1242*x-276,-214*x^3-878*x^2-1756*x+878,278*x^3+1251*x^2+3072*x+139,-27*x^3-54*x^2+27*x+524,-300*x^3-1350*x^2-3070*x-150,-388*x^3-1606*x^2-3492*x+776,169*x^3+778*x^2+1521*x-338,-60*x^3-120*x^2+60*x+730,40*x^3+180*x^2+290*x+20,-248*x^3-1176*x^2-2352*x+1176,-64*x^3-288*x^2-866*x-32,-334*x^3-1318*x^2-2636*x+1318,375*x^3+1500*x^2+3375*x-750,54*x^3+108*x^2-54*x-1418,-18*x^3-36*x^2+18*x+236,586*x^3+2297*x^2+4594*x-2297,-188*x^3-846*x^2-1752*x-94,384*x^3+1758*x^2+3456*x-768,24*x^3+48*x^2-24*x+742]];

E[16,1] = [x^6+2*x^5+6*x^4+8*x^3+24*x^2+32*x+64, [64,64*x,5*x^5+4*x^4+22*x^3-12*x^2-32,-13*x^5-4*x^4-38*x^3-20*x^2-192*x-96,8*x^5-16*x^4-16*x^3+64*x-128,-5*x^5+12*x^4+42*x^3-20*x^2+192*x-96,-11*x^5-60*x^4-106*x^3-268*x^2-320*x-800,32*x^5+32*x^4+128*x^3+192*x^2+256*x+384,-27*x^5-28*x^4-42*x^3-76*x^2-384*x-32,-24*x^5-16*x^4-80*x^3-128*x^2-192*x+384,21*x^5+100*x^4+214*x^3+564*x^2+576*x+1248,-64*x^4+128*x^3-128*x^2+512*x-512,3*x^5-36*x^4-70*x^3+236*x^2+960*x+928,-64*x^5-64*x^4-256*x^3+128*x^2-1536*x-512,-21*x^5-212*x^4-182*x^3-276*x^2-960*x-3168,64*x^5+64*x^4-640*x^2-512,19*x^5-36*x^4+154*x^3-84*x^2+192*x+416,27*x^5+172*x^4-22*x^3+44*x^2+320*x+3488,5*x^5-60*x^4-138*x^3-76*x^2-576*x-288,-107*x^5+100*x^4-394*x^3-268*x^2-2688*x-2592,-152*x^5-272*x^4-848*x^3-1152*x^2-1216*x-5760,112*x^5+64*x^4+480*x^3-448*x^2+2688*x+256,64*x^5+512*x^4+128*x^3+2304*x^2+2560*x+7168,-11*x^5-188*x^4+310*x^3-332*x^2+1504,16*x^5+192*x^4+288*x^3+1472*x^2+2432*x+3840,32*x^5+416*x^4+896*x^3+960*x^2+256*x+3456,-93*x^5-100*x^4+122*x^3-788*x^2-2880*x-1120,296*x^5+240*x^4+1072*x^3+1664*x^2+2368*x-640,-69*x^5-180*x^4+170*x^3-404*x^2+448*x-5216,101*x^5+164*x^4-202*x^3+884*x^2-960*x+5856,-192*x^5-320*x^4-1024*x^3-1408*x^2-1536*x-2432,128*x^5+64*x^4+1152*x^3+640*x^2+6656*x+2560,277*x^5+228*x^4+374*x^3+1012*x^2+4992*x+1504,-32*x^5-320*x^4-448*x^3-2304*x^2-3840*x-6144,-85*x^5-660*x^4-1078*x^3-2196*x^2-3776*x-8288,323*x^5+380*x^4+570*x^3+684*x^2+3648*x-608,-344*x^5-16*x^4-720*x^3-1408*x^2-2752*x+1408,69*x^5-124*x^4-10*x^3+1332*x^2-1344*x-288,-283*x^5-124*x^4-938*x^3-140*x^2-3072*x-1056,136*x^5+496*x^4+1264*x^3+1536*x^2+1088*x+6016,21*x^5+324*x^4-682*x^3-1676*x^2-320*x+8416,-171*x^5-188*x^4-394*x^3-204*x^2-1536*x+480,-29*x^5-388*x^4+762*x^3-980*x^2-960*x+2464,-128*x^5-64*x^4-1152*x^3-640*x^2-6656*x-2560,-96*x^5+32*x^4-128*x^3-320*x^2-768*x+384,-269*x^5+124*x^4-1574*x^3+748*x^2-1728*x-2144,72*x^5-528*x^4-912*x^3-768*x^2+576*x-1152,661*x^5+516*x^4+1782*x^3+692*x^2+6912*x+480]];
E[16,2] = [x, [1,0,0,-6,0,0,10,-30,0,0,42,0,-70,18,0,0,90,0,-22,0,0,-110,0,0,-78,130,-198,0,0,-182,-30,0,0,210,0,-102,0,170,0,0,330,0,-38,0,-190,-390,0,0]];

E[17,1] = [x^8+8*x^7+32*x^6+72*x^5+64*x^4-120*x^3-192*x^2-248*x+961, [21892069583,21892069583*x,22439534*x^7+239238237*x^6+1257644857*x^5+3084953944*x^4+4499411978*x^3-4459221110*x^2-16388067342*x-32793069016,-126674912*x^7-1286719724*x^6-5471494094*x^5-10774347192*x^4-3245758000*x^3+24881595350*x^2+13369744260*x-39680092628,-136937775*x^7-582317381*x^6+592816175*x^5+8594768203*x^4+29880519191*x^3+58679069841*x^2-8000389837*x+14778814233,381128520*x^7+1977724270*x^6+5359168908*x^5+10557372427*x^4+15184123726*x^3+18722779950*x^2+114492235913*x-194442410792,-619842170*x^7-4647589120*x^6-18946823062*x^5-45759586858*x^4-63871800814*x^3-1199928496*x^2+48676299394*x+299889560738,-529463351*x^7-3610125661*x^6-8977064132*x^5-6529825069*x^4+7482477971*x^3+18379794205*x^2-217312551777*x-138537972381,832406749*x^7+5284186682*x^6+14214721264*x^5+13141623978*x^4-30750047861*x^3-99392345438*x^2+120132443730*x+27563177126,433532347*x^7+4052532733*x^6+16058640907*x^5+31012994059*x^4-2097488773*x^3-141083839517*x^2-215236638765*x-86045892977,-327218038*x^7+377872248*x^6+8166950478*x^5+34647180572*x^4+57273947168*x^3+22955180566*x^2-183884054344*x+459229368414,84186487*x^7+758294473*x^6+6099265969*x^5+23572574043*x^4+49918040447*x^3+64186344983*x^2+8837516153*x-64483364647,986198446*x^7+4376771418*x^6+3371423138*x^5-21338855302*x^4-81862990214*x^3-81138252988*x^2+454917261204*x+60650449162,-982981009*x^7-8236558654*x^6-30148937557*x^5-58174047303*x^4-41900447900*x^3+34875751805*x^2-193076279423*x-177380848505,-1837738224*x^7-12872441381*x^6-40922683366*x^5-48266171616*x^4+78812972314*x^3+356719212756*x^2-107094921926*x-995228820593,736009118*x^7+1682390550*x^6-12383531510*x^5-77568357724*x^4-156966368464*x^3-115968397412*x^2+359223121416*x+425380392340,-822808380*x^7-5701439538*x^6-14759088648*x^5-9768691730*x^4+35546247476*x^3+138385751586*x^2+193734801098*x+76705803374,-711236234*x^7-2085642260*x^6+7048819422*x^5+43527970597*x^4+125611779384*x^3+97748444087*x^2-134752550510*x+127511001968,1166138240*x^7+4712287080*x^6+7339701564*x^5+15466305164*x^4+58857373920*x^3+216045725336*x^2+254415959160*x-1538838250856,1674582276*x^7+11005654062*x^6+15879266155*x^5-73158745214*x^4-331357544327*x^3-585449538182*x^2+70382948992*x+1027629045302,-318254061*x^7-1758769787*x^6+7384315319*x^5+84428187789*x^4+230421378295*x^3+77564877447*x^2-860579027205*x-1495913034301,-680184071*x^7-5156020538*x^6-18843747595*x^5-53399273741*x^4-131638840767*x^3-52814984567*x^2-60709421644*x+637503836001,-518151263*x^7-6234302367*x^6-27063581525*x^5-40437087633*x^4+25835839371*x^3+109860313093*x^2+431126950697*x-794177115127,-3117620568*x^7-26795434764*x^6-119649176084*x^5-337123678848*x^4-549898022120*x^3-99687163409*x^2+472039410390*x+850250484163,3231082483*x^7+32422410186*x^6+129664714543*x^5+247763874548*x^4+107682344198*x^3-503417913468*x^2-345396186482*x+2163264447596,273983297*x^7-2570336729*x^6-17181341951*x^5-32857723958*x^4+55110127790*x^3+404329201089*x^2+1012686992347*x-395661234685,2837572234*x^7+24580957210*x^6+110907919364*x^5+299043478232*x^4+513058186244*x^3+306449372554*x^2+195582763550*x-794502864460,36150092*x^7+10164659006*x^6+61751201812*x^5+170160281168*x^4+173047530772*x^3-415449337678*x^2-1316991767524*x+1197835613004,-1740296447*x^7-16345608096*x^6-78444908584*x^5-208299572694*x^4-238566388516*x^3-49942567740*x^2+528416516740*x+322893404215,-4038185364*x^7-35113415048*x^6-134838527520*x^5-323794454648*x^4-466746868600*x^3-367616831012*x^2-1287599794192*x-472106410736,3838711119*x^7+30938583807*x^6+123954523091*x^5+302993267357*x^4+458777409738*x^3+290362564656*x^2+299212702813*x-1413347065513,1439313692*x^7+15348907100*x^6+70843269620*x^5+228027626694*x^4+409774672354*x^3+371297933010*x^2-445285168564*x+802689088028,-1649504708*x^7-14251125547*x^6-40380405794*x^5-51883221204*x^4-46273938470*x^3-221065488030*x^2-723141276799*x-610554690972,-2383683310*x^7-15745665731*x^6-53392586190*x^5-118575954304*x^4-114328919646*x^3+360491547755*x^2+875182325210*x+644242128836,6486769900*x^7+42971034198*x^6+115229617328*x^5+55519490528*x^4-353688795012*x^3-820066610817*x^2+1687415078551*x+332962685304,1800448380*x^7+9793552178*x^6-1048548588*x^5-77839691242*x^4-254900439916*x^3-232863069024*x^2+1065933911156*x-229441784838,2516274082*x^7+29470159654*x^6+145125951910*x^5+383367143202*x^4+535052733146*x^3+129716134972*x^2-727244983292*x-566283176316,-1114844192*x^7-15689041316*x^6-74652193800*x^5-176791943418*x^4-268007376494*x^3-27712468522*x^2-365407752746*x-1178826609234,4071620918*x^7+31817591460*x^6+117480566801*x^5+256983090645*x^4+363660558390*x^3+2200129056*x^2-412752318506*x-2454794712634,1357561615*x^7+8158563083*x^6+61674848135*x^5+246007267071*x^4+576828406305*x^3+896766665625*x^2+288933112815*x-1149266500613,1060988774*x^7+13241123266*x^6+48178370514*x^5+73182316690*x^4-97484752310*x^3-155517273648*x^2-266054530384*x+1106252370602,1101508926*x^7+2046035030*x^6+12183376619*x^5+65551978078*x^4+105508490576*x^3-118047903218*x^2-43848018355*x-641546642194,-4863142698*x^7-38487290910*x^6-126839055358*x^5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E[17,2] = [x^8+4*x^6+16*x^5+8*x^4-8*x^3+20*x^2-8*x+1, [37927,37927*x,29324*x^7+6819*x^6+123684*x^5+497216*x^4+374111*x^3-79196*x^2+547825*x-107109,-5865*x^7+13294*x^6-20723*x^5-36754*x^4+155227*x^3+236164*x^2-202538*x+23069,96691*x^7+7762*x^6+384619*x^5+1575594*x^4+898580*x^3-777545*x^2+1846336*x-600689,64054*x^7+36673*x^6+263501*x^5+1159570*x^4+1143047*x^3-164342*x^2+961112*x+281315,106042*x^7-14714*x^6+420123*x^5+1654389*x^4+628237*x^3-976588*x^2+2478532*x-699569,-420359*x^7-70006*x^6-1662481*x^5-7008607*x^4-4407199*x^3+2963933*x^2-7627645*x+1579317,-126231*x^7-37643*x^6-535004*x^5-2219877*x^4-1772383*x^3+94987*x^2-3625896*x-54335,710780*x^7+113591*x^6+2848821*x^5+11848014*x^4+7554013*x^3-4612918*x^2+13863704*x-3099571,-703266*x^7-107097*x^6-2849535*x^5-11700777*x^4-7470135*x^3+4198662*x^2-13982721*x+3717963,-114366*x^7-59299*x^6-472129*x^5-1983339*x^4-1941201*x^3+752996*x^2-881756*x+570236,195663*x^7+101385*x^6+845592*x^5+3597863*x^4+3430901*x^3+390301*x^2+4293503*x-872486,486890*x^7+50521*x^6+1937366*x^5+7976417*x^4+4556896*x^3-3420470*x^2+9088693*x-3000563,-333364*x^7-14445*x^6-1292275*x^5-5351107*x^4-2740556*x^3+3175711*x^2-5943523*x+2288067,701051*x^7+114672*x^6+2813999*x^5+11654078*x^4+7480873*x^3-4628098*x^2+12773205*x-3718110,461258*x^7+221567*x^6+1904146*x^5+8261660*x^4+7460392*x^3-969982*x^2+8549844*x+188775,-121522*x^7-95698*x^6-525841*x^5-2307886*x^4-2570686*x^3-366274*x^2-1447431*x+265078,792642*x^7+163676*x^6+3299326*x^5+13332930*x^4+9526919*x^3-3163768*x^2+15724694*x-2366111,-1287533*x^7-256182*x^6-5247541*x^5-21654192*x^4-14862367*x^3+6746478*x^2-25190413*x+5269930,-721340*x^7-271821*x^6-3121746*x^5-12657792*x^4-10946557*x^3-289300*x^2-14515399*x+2915485,-148464*x^7-136861*x^6-741717*x^5-2764625*x^4-4046245*x^3-1627542*x^2-1434613*x+20951,-576459*x^7-336656*x^6-2306540*x^5-10593159*x^4-10130144*x^3+1659633*x^2-8614563*x-2488718,-2254407*x^7-393170*x^6-8943894*x^5-37771212*x^4-23764885*x^3+15521208*x^2-42203214*x+10145930,2424526*x^7+701686*x^6+9772763*x^5+41568145*x^4+31015045*x^3-12871554*x^2+43553354*x-5178343,2857489*x^7+559586*x^6+11306950*x^5+47734929*x^4+31486783*x^3-21660076*x^2+50011127*x-12940106,-2786120*x^7-609657*x^6-11222402*x^5-47162896*x^4-32070845*x^3+14828639*x^2-53231403*x+11117172,74245*x^7-144750*x^6+356487*x^5+512346*x^4-1343377*x^3-574234*x^2+407779*x-3360302,610775*x^7+480337*x^6+2714399*x^5+11577306*x^4+13544402*x^3+2806622*x^2+8636068*x-426233,422493*x^7+6374*x^6+1654818*x^5+6767853*x^4+3469500*x^3-4213972*x^2+8199848*x-2580842,-494941*x^7-258683*x^6-2120502*x^5-8692083*x^4-8961472*x^3+1204505*x^2-7411660*x-2183796,-409478*x^7-188294*x^6-1687531*x^5-7332474*x^4-6485764*x^3+632138*x^2-6428125*x+1129778,-1061064*x^7-215202*x^6-4247828*x^5-17783751*x^4-12116941*x^3+7587435*x^2-20856161*x+5472814,-171555*x^7+445603*x^6-379181*x^5-961588*x^4+6815236*x^3+9749369*x^2-5097926*x+7048944,2363995*x^7+447320*x^6+9312468*x^5+39548528*x^4+25504050*x^3-17702945*x^2+42623777*x-7964113,2109762*x^7-112392*x^6+8398768*x^5+33415353*x^4+15007212*x^3-17994798*x^2+46490070*x-13208867,-2068675*x^7-239929*x^6-8402864*x^5-33782451*x^4-21194701*x^3+14882639*x^2-38085440*x+9104913,-1898078*x^7-412058*x^6-7495592*x^5-32087041*x^4-20988832*x^3+12641906*x^2-31320562*x+3726029,1746597*x^7+766751*x^6+6922264*x^5+30530844*x^4+25675406*x^3-11026982*x^2+20105611*x-2864857,1090958*x^7-515695*x^6+4158574*x^5+15560100*x^4-248591*x^3-15220372*x^2+27070137*x-14749829,-6223091*x^7-1219370*x^6-25002213*x^5-104298230*x^4-70000482*x^3+38632589*x^2-112896813*x+21358314,-1296104*x^7-205210*x^6-4704109*x^5-21402082*x^4-11624486*x^3+16017466*x^2-19741709*x+6985254,1381617*x^7+1010681*x^6+5726564*x^5+26356307*x^4+27814800*x^3+1528077*x^2+23032790*x+7598036,1202632*x^7+72316*x^6+4382914*x^5+19398598*x^4+8924838*x^3-15913690*x^2+16027600*x-1909890,-615708*x^7-162448*x^6-2589711*x^5-10418314*x^4-7874450*x^3+1609761*x^2-9014182*x+2103392,2092450*x^7+463750*x^6+8687465*x^5+35093695*x^4+25796860*x^3-8979945*x^2+37754110*x-5647355,-2764233*x^7-335973*x^6-11240018*x^5-45840585*x^4-28566214*x^3+14726226*x^2-56631233*x+15181060,1121887*x^7+535862*x^6+4916295*x^5+19984622*x^4+18699572*x^3+2386707*x^2+20458140*x-7936481]];

E[18,1] = [x^2+2, [1,x,0,-3*x,-4,12*x,8,-9*x,-16,-12*x,3*x,44,-34,33*x,-40,-60*x,27*x,24*x,50,8,-36*x,-16,-76,84*x,9*x,176,21*x,-28,0,56,-111*x,92,-120*x,111*x,152,195*x,-148,-82,56,24*x,-123*x,-144*x,-232,-24*x,206,117*x,20,296]];
E[18,2] = [x^4-2*x^2+4, [2,2*x,x^3-2*x^2-4*x+2,3*x^2-12,-6*x^3-x^2+6*x+2,3*x^2-6*x+6,6*x^3-5*x^2+12*x,-6*x^3-12*x^2+12,6*x^3-24*x-20,3*x^3-3*x^2-6*x+12,3*x^2+12*x+6,-9*x^3+19*x^2-18*x,-6*x^3+24*x+64,-18*x^3+21*x^2+36*x-84,18*x^3+23*x^2-18*x-46,9*x^2+42*x+18,-30*x^3-60*x^2+60,39*x^3-21*x^2-78*x+84,36*x^3-31*x^2-36*x+62,-9*x^3-53*x^2-18*x,-24*x^3+60*x^2-60,-18*x^3+72*x-104,-30*x^3-7*x^2+30*x+14,-63*x^2-30*x-126,66*x^3+60*x^2-60,-84*x^3-7*x^2+84*x+14,-3*x^2+216*x-6,27*x^3+37*x^2+54*x,-48*x^3+120*x^2-120,54*x^3-216*x-32,132*x^3-9*x^2-264*x+36,18*x^3-72*x-68,-81*x^3-69*x^2+162*x+276,111*x^2-60*x+222,39*x^3-11*x^2+78*x,-78*x^3-3*x^2+156*x+12,90*x^3-175*x^2-90*x+350,-36*x^3+109*x^2-72*x,-78*x^3+312*x-116,87*x^3+99*x^2-174*x-396,9*x^2-120*x+18,-84*x^3+192*x^2-192,-42*x^3+168*x+280,-3*x^2+18*x-6,-90*x^3-125*x^2-180*x,84*x^3-48*x^2+48,-30*x^3+120*x+160,-21*x^3+103*x^2-42*x]];

E[19,1] = [x^2+13, [1,x,-x,4,-5,-10,x,15,5*x-6,35,5*x,-10*x,-6*x,10*x,-20,10,-21*x,5*x,-40,11*x,30*x,105,-10*x,-40,0,34*x,-50,16*x,21*x,-55*x,-34*x,-36*x,112,125,50,70,10*x,10,-270,34*x,-34*x,10*x,30*x,193,74*x,90,123,-65*x]];
E[19,2] = [x^6+3*x^5-4*x^4-21*x^3+40*x^2+63*x+27, [3342,3342*x,-201*x^5-249*x^4+1467*x^3+939*x^2-14607*x-405,-339*x^5-819*x^4+2973*x^3+7719*x^2-20745*x-19089,-159*x^5-1020*x^4-735*x^3+6504*x^2+7749*x-24288,129*x^5+1332*x^4+1353*x^3-8808*x^2-10827*x+54954,656*x^5+1644*x^4-1928*x^3-11112*x^2+20072*x+32148,-1656*x^5-3498*x^4+11388*x^3+34572*x^2-90366*x-83844,2928*x^5+6645*x^4-18876*x^3-54855*x^2+142002*x+106035,-726*x^5-1473*x^4+5598*x^3+14091*x^2-31710*x-13509,-3846*x^5-12471*x^4+13056*x^3+81939*x^2-141276*x-229743,6221*x^5+13950*x^4-36359*x^3-121782*x^2+323681*x+217170,-4499*x^5-10470*x^4+22943*x^3+84258*x^2-232559*x-155340,2754*x^5+4110*x^4-19302*x^3-24438*x^2+154896*x+162,-3776*x^5-9300*x^4+26096*x^3+78960*x^2-206504*x-191568,-1914*x^5-4491*x^4+8682*x^3+37149*x^2-118842*x-48375,1848*x^5+6180*x^4-3312*x^3-35868*x^2+47904*x+85428,-1095*x^5-309*x^4+9189*x^3-12243*x^2-139083*x-10287,1840*x^5+4815*x^4-3370*x^3-7407*x^2+143110*x+56955,7432*x^5+21519*x^4-36352*x^3-162123*x^2+340540*x+520839,-60*x^5+624*x^4+1236*x^3-11292*x^2-6156*x-5508,82*x^5-630*x^4-11938*x^3-13086*x^2+44284*x+38274,-2258*x^5-3030*x^4+16214*x^3+14406*x^2-239246*x-2754,-771*x^5-9360*x^4-10185*x^3+62436*x^2+77301*x-218160,6174*x^5+22014*x^4-32940*x^3-159480*x^2+318636*x+494586,-1458*x^5-3552*x^4+8646*x^3+35742*x^2+79002*x+10530,-15660*x^5-35985*x^4+78630*x^3+259437*x^2-928290*x-379845,14056*x^5+33840*x^4-88588*x^3-251952*x^2+722056*x+480240,-20406*x^5-45780*x^4+136962*x^3+399252*x^2-1061646*x-712260,7458*x^5+11334*x^4-52038*x^3-69558*x^2+616806*x-1134,2496*x^5+4788*x^4-8640*x^3-56952*x^2+133104*x+90774,1164*x^5+3936*x^4+20136*x^3+10524*x^2-125208*x-145800,-12009*x^5-39867*x^4+29487*x^3+197613*x^2-469479*x-448731,-29772*x^5-66012*x^4+173496*x^3+513438*x^2-1625568*x-671724,2590*x^5+7041*x^4-2110*x^3+33483*x^2+216718*x+85701,20379*x^5+53079*x^4-108333*x^3-393639*x^2+1000725*x+936369,-4977*x^5-6390*x^4+37023*x^3+145134*x^2-278037*x-195210,7952*x^5+9984*x^4-82712*x^3-194040*x^2+532028*x+486696,-1485*x^5-11292*x^4-9513*x^3+73104*x^2+88263*x-418722,5004*x^5+17472*x^4-18864*x^3-115656*x^2+201936*x+327024,25392*x^5+44724*x^4-170160*x^3-338496*x^2+1396752*x-51192,39009*x^5+88254*x^4-248145*x^3-755838*x^2+2026533*x+1358262,15378*x^5+47607*x^4-38064*x^3-295131*x^2+456876*x+771039,-2916*x^5-7104*x^4+3924*x^3+38064*x^2+37692*x-319824,2108*x^5+4590*x^4-13124*x^3-42636*x^2+207146*x-11016,831*x^5+8736*x^4+8949*x^3-57828*x^2-71145*x-588438,-12016*x^5-28320*x^4+53248*x^3+87792*x^2-753376*x-306336,2510*x^5+5088*x^4-16058*x^3-44514*x^2+276464*x-10206]];
E[19,3] = [x^12+6*x^11+18*x^10+39*x^9+48*x^8+57*x^7+74*x^6-120*x^5-171*x^4-381*x^3+1110*x^2-969*x+361, 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E[19,4] = [x, [1,0,0,-9,-5,3,0,15,-19,-30,0,0,0,0,-85,75,0,0,103,0,0,-25,0,90,0,0,-102,0,0,0,0,0,-213,255,-197,-177,0,10,250,0,0,0,0,-93,0,90,227,0]];

E[20,1] = [x, [1,-2,4,-5,-4,0,0,0,0,44,-22,0,0,62,-76,-4,0,0,-58,116,0,0,0,-76,-142,0,122,44,-124,38,0,236,0,0,0,278,0,0,164,-244,0,0,-358,0,0,0,0,0]];
E[20,2] = [x, [1,2,-4,-5,4,0,0,0,0,-44,-22,0,0,62,76,4,0,0,-58,-116,0,0,0,76,-142,0,122,-44,124,38,0,-236,0,0,0,278,0,0,-164,244,0,0,-358,0,0,0,0,0]];
E[20,3] = [x^2+4, [1,x,0,-2*x+3,0,0,12*x,-8*x,0,0,42,0,12*x,-18,0,0,-28*x,0,22,0,0,-48*x,0,0,-78,72*x,-198,0,0,182,112*x,0,0,-88*x,0,102,0,132*x,0,0,52*x,0,-38,0,-168*x,-28*x,0,0]];
E[20,4] = [x^4+2*x^3+4*x^2+8*x+16, [4,4*x,x^3-2*x^2,x^3+2*x^2+4,-3*x^3-2*x^2-16*x-16,2*x^3+12*x^2+32*x+32,2*x^3+4*x^2-8,-8*x^3-16*x^2-56,-4*x^3-8*x^2-32*x-32,-5*x^3+2*x^2-16*x-16,4*x^3+8*x^2+8,14*x^3-12*x^2+32*x+32,10*x^3+20*x^2+56,-6*x^3-12*x^2-136,x^3+14*x^2+32*x+32,-7*x^3+38*x^2+48*x+48,10*x^3+20*x^2-136,24*x^3+96*x+96,-26*x^3-52*x^2+24,31*x^3+18*x^2+160*x+160,-18*x^3-44*x^2-160*x-160,32*x^3+64*x^2+392,-36*x^3+8*x^2-128*x-128,x^3-50*x^2-96*x-96,40*x^3+80*x^2+72,12*x^3+24*x^2-216,8*x^3+16*x^2+360,-x^3+90*x^2+176*x+176,-41*x^3-14*x^2-192*x-192,-74*x^3-148*x^2-424,-20*x^3-40*x^2+424,-15*x^3-122*x^2-304*x-304,70*x^3-28*x^2+224*x+224,-12*x^3-24*x^2-152,-56*x^3-128*x^2-480*x-480,38*x^3+76*x^2+344,-26*x^3+196*x^2+288*x+288,-54*x^3-108*x^2+120,101*x^3+22*x^2+448*x+448,33*x^3+6*x^2+144*x+144,10*x^3+20*x^2-776,-64*x^3+176*x^2+96*x+96,16*x^3+32*x^2+552,-102*x^3+28*x^2-352*x-352,16*x^3+32*x^2+648,70*x^3+140*x^2+216,32*x^3-192*x^2-256*x-256,14*x^3-140*x^2-224*x-224]];
E[20,5] = [x^2-2*x+2, [1,0,x,-4*x+1,7*x-14,10,9*x,-x+2,8*x-8,-23*x,8*x-8,-14,-33*x+66,-14,-15*x,39*x-78,-7*x,56*x-56,42,7*x-14,98,49*x,-96*x+96,-63*x,112*x-112,-33*x+66,26,73*x,-121*x+242,136*x-136,-127*x,7*x-14,-230,63*x-126,88*x-88,-168*x+168,130,63*x-126,65*x,103*x-206,73*x,-56*x+56,-70,-142,-63*x,63*x-126,-336*x+336,314]];

E[21,1] = [x^2-2*x+4, [2,2*x,-x-2,2*x-8,-7*x,10*x-20,14*x-14,-4*x-8,-19*x+76,-40*x,32,3*x+6,-5*x,28*x-28,-38,30*x-120,-32*x+64,24*x+48,-12*x+48,59*x-118,-52,-11*x-22,-47*x,-28*x+28,-68*x+272,-56*x+56,-74*x-148,-5*x+20,212*x,17*x-34,284,-290,86*x-344,-116*x+232,98*x-98,-124*x,-46*x+92,108*x+216,58*x,-308*x+308,72*x-288,10*x-20,378*x-378,2*x,-235*x+470,200,-116*x-232,4]];
E[21,2] = [x^2+3*x+9, [3,3*x,x-3,3*x+18,-3*x+15,-15*x-45,16*x+24,-6*x+18,-6*x-36,0,-27,7*x-21,10*x,12*x+18,-222,0,-33*x-99,-9*x+27,52*x+312,76*x+228,252,36*x-108,-43*x,138*x+207,-42*x-252,-214*x-321,84*x-252,-40*x-240,93*x,8*x+24,126,105,99*x+594,96*x+288,212*x+318,-186*x,-79*x-237,12*x-36,-208*x,288*x+432,-132*x-792,-90*x-270,12*x+18,-312*x,185*x+555,990,-4*x+12,-744]];
E[21,3] = [x^2+x+1, [1,x,-x+1,-3*x-6,-7*x-7,11*x+11,8*x+4,-14*x+14,-2*x-4,28*x,25,19*x-19,-58*x,4*x+2,26,-44*x-88,-31*x-31,5*x-5,8*x+16,52*x+52,64,-4*x+4,17*x,62*x+31,-46*x-92,106*x+53,12*x-12,0,31*x,136*x+136,-74,-1,105*x+210,-88*x-88,-220*x-110,-230*x,-227*x-227,28*x-28,212*x,112*x+56,124*x+248,-46*x-46,-36*x-18,208*x,-239*x-239,-26,140*x-140,-52]];
E[21,4] = [x^4+14*x^2+21, [4,4*x,x^3-x^2+9*x-9,-2*x^3-26*x,-2*x^2-14,8*x,2*x^2-22,4*x^3+44*x,-10*x^2-58,-4*x^3-20*x,-4*x^3-60*x,4*x^2+164,28*x^2+212,16*x^3+120*x,-12*x^2-244,8*x^3+136*x,-32*x^3-376*x,-2*x^3-130*x,14*x^2-58,-16*x^2-136,12*x^3+228*x,52*x^2+332,-72*x^2-376,-18*x^3-306*x,-32*x^3-248*x,16*x^2+104,14*x^3+326*x,24*x^2-184,-44*x^3-452*x,76*x^2+788,44*x^3+516*x,-8*x^2-160,10*x^3-86*x,-8*x^3-136*x,-98*x^2-946,80*x^3+760*x,24*x^2+704,-154*x^2-1474,-28*x^2-628,-28*x^3-108*x,6*x^3-50*x,116*x^3+1244*x,170*x^2+1154,-44*x^3-212*x,-84*x^2-724,-40*x^3-336*x,-8*x^2+248,8*x^2+176]];
E[21,5] = [x^4-5*x^2+25, [5,5*x,x^3-2*x^2-5*x,-5*x,7*x^2,5*x^3-25*x,-10,-12*x^3+60*x,16*x^2-80,-30*x,7*x^3,3*x^2,12*x^2-60,14*x^3,220,30*x,-9*x^3+45*x,9*x^3-45*x,-26*x^2+130,-52*x^2,42*x^3,-18*x^2,-79*x^2+395,-63*x^3,-110*x,-465,-26*x^3+130*x,-82*x^2+410,145*x,144*x^2,-14*x^3,885,-425*x,96*x^3-480*x,-570,-30*x,-59*x^2,248*x^2,-2*x^2+10,112*x^3,590*x,-86*x^3+430*x,410,-380*x,-59*x^2,-98*x^3,234*x^2,-130]];
E[21,6] = [x^2+3, [1,1,x,-4*x,4*x+1,10,4*x,0,-12*x,-14,-38,16*x,26,-40*x,26,16*x,10,44*x,20*x,74,-62,-24*x,-46,52*x,-24*x,32*x,-68*x,-56*x,10,74,178,-190,-28*x,-206,-68*x,106,-46,-140*x,170,56*x,100*x,-38,108*x,82,50,-278,168*x,74]];
E[21,7] = [x^2-3*x+9, [3,0,3*x,0,-3*x-15,0,69,0,11*x-33,0,0,13*x,-73*x+219,0,-183,0,0,0,74*x-222,13*x,0,97*x,11*x-33,0,0,6,0,-157*x+471,0,-71*x,0,321,0,0,-687,0,286*x,118*x,-262*x+786,0,0,0,-939,0,-239*x,0,-386*x,-498]];

E[22,1] = [x^2+2, [1,x,1,-1,-6*x,6*x+7,6*x,18*x,-18*x,17,-24*x,17,47,6*x,12*x,-58,2,-55,-60*x,89,-7,90*x,-24*x,-24*x,-97,-121,-6*x,-82,54*x,108*x,-1,-18*x,-66*x,167,-66*x,114*x,-204*x,-1,110,78*x,12*x,209,119,-319,-12*x,-72*x,182,-84*x]];
E[22,2] = [x^8-2*x^6+4*x^4-8*x^2+16, [8,8*x,2*x^7-x^6-2*x^5+4*x^4+4*x^3-8*x^2-8*x+8,-2*x^7-x^6-6*x^4-4*x^2-16*x,-2*x^7+4*x^6+2*x^4-4*x^3+8*x^2+8*x-40,-3*x^7-4*x^6+8*x^5-4*x^4+12*x^3+16*x^2+16*x-8,10*x^7+2*x^6-20*x^5-8*x^4+20*x^2-32*x+8,-8*x^7-5*x^6+12*x^5+6*x^4-24*x^3-4*x^2+64*x+48,-3*x^6+22*x^5-8*x^4-20*x^3-16*x^2+88*x-24,4*x^7+6*x^6-16*x^5-12*x^4+48*x^3-128*x-128,-4*x^7-36*x^6+38*x^4-24*x^3-72*x^2+48*x+136,2*x^7+14*x^6+8*x^5-8*x^3-12*x^2+8*x+24,2*x^7-8*x^5+6*x^4+24*x^3-24*x^2+16*x+24,25*x^6-16*x^5-24*x^4+32*x^3-48*x^2-64*x+200,4*x^7+4*x^6-20*x^5-48*x^4+16*x^3+112*x^2-112,2*x^7+13*x^6-22*x^5-12*x^4+4*x^3+24*x^2+72*x-104,-12*x^7+34*x^6-48*x^3+228*x^2+48*x-456,-10*x^7+40*x^5+30*x^4-132*x^3-80*x^2-104*x+120,6*x^7-19*x^6-68*x^5+10*x^4+136*x^3+36*x^2-48*x+80,10*x^7+4*x^6+4*x^5-8*x^4-56*x^3+32*x+96,19*x^7-3*x^6-14*x^5-66*x^4-28*x^3-12*x^2+152*x,26*x^7+4*x^6+10*x^4+88*x^3+8*x^2-176*x-72,-24*x^7-22*x^6+48*x^5+88*x^4+60*x^2-136*x+472,39*x^7+31*x^6-66*x^5-30*x^4+132*x^3-4*x^2-312*x-240,-42*x^7+66*x^6+48*x^5-132*x^4-24*x^3+384*x-240,16*x^7-12*x^6-16*x^5+96*x^3-4*x^2-96*x+8,-30*x^7+40*x^6+60*x^5-160*x^4+172*x^2-48*x-296,22*x^7-88*x^5-18*x^4+140*x^3-224*x^2-72*x-72,-13*x^6+18*x^5+104*x^4-4*x^3+208*x^2+72*x-104,-8*x^7-18*x^6-76*x^5+68*x^4-32*x^3-208*x^2+208,4*x^7-87*x^6+4*x^5-60*x^4+8*x^3+120*x^2-48*x+696,-67*x^7+27*x^6+18*x^5+78*x^4-36*x^3-420*x^2+536*x+624,-22*x^7-110*x^6-132*x^4-88*x^3-176*x^2+176,-50*x^7-33*x^6-60*x^5+62*x^4-120*x^3-132*x^2-400*x,-46*x^7+56*x^6-82*x^4+164*x^3+112*x^2-328*x-120,-10*x^7+85*x^6+124*x^5-158*x^4-248*x^3+292*x^2+80*x-1264,23*x^6+14*x^5+148*x^4+132*x^3+296*x^2+56*x+184,12*x^7-63*x^6+24*x^5+288*x^4+24*x^3-576*x^2-192*x+504,-52*x^7-132*x^6+260*x^5-728*x^3-356*x^2+728*x+712,8*x^7+8*x^6-16*x^5-32*x^4+204*x^2+232*x+280,-9*x^6+244*x^5-20*x^4-72*x^3-40*x^2+976*x-72,186*x^7+43*x^6-130*x^5-180*x^4+372*x^3+360*x^2-968*x-344,58*x^7-137*x^6+64*x^5+250*x^4+128*x^3-548*x^2+464*x,18*x^7-72*x^5+118*x^4+124*x^3-272*x^2-40*x+472,-120*x^7-13*x^6+128*x^5-150*x^4-256*x^3+652*x^2+960*x-1200,-46*x^7+24*x^6+52*x^5+264*x^4-184*x^3-432*x^2+432,30*x^7+160*x^6+36*x^5-320*x^4-264*x^3+288*x-1344,-4*x^7+42*x^6+8*x^5-168*x^4+460*x^2-936*x+248]];

E[23,1] = [x^3-12*x+7, [3,3*x,-x^2-5*x+8,0,0,0,-9*x^2+3*x+72,0,0,-69,15*x^2-21*x-120,15*x^2+51*x-120,0,-33*x^2-45*x+264,0,39*x^2+27*x-312,0,78,0,0,-57*x^2-21*x+456,15*x^2-93*x-120,0,0,0,0,-498,0,0,0,0,-105*x^2-117*x+840,87*x^2+195*x-696,0,-33*x^2+171*x+264,0,63*x^2-141*x-504,0,135*x^2+147*x-1080,726,-66,-105*x^2+99*x+840,0,0,39*x^2+315*x-312,111*x^2+315*x-888,0,-1218]];
E[23,2] = [x^30+11*x^29+78*x^28+411*x^27+1728*x^26+6157*x^25+18695*x^24+49567*x^23+123051*x^22+279029*x^21+570634*x^20+1009889*x^19+1473658*x^18+1579571*x^17+1540564*x^16+543917*x^15-3849112*x^14-5004559*x^13+27262100*x^12+78510311*x^11+44258028*x^10-70192343*x^9-52822319*x^8+95689696*x^7+286029806*x^6+287768462*x^5+375849966*x^4+166522178*x^3+97499323*x^2-3299750*x+38809, 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