Sharedwww / Tables / ap_s4g1new_1-28.gpOpen in CoCalc
\\ ---------------------------------------------------------------
\\ ap_s4g1new_1-28.gp
\\ ---------------------------------------------------------------
\\ This is a PARI readable list of Hecke eigenvalues a_p of a 
\\ basis of newforms in S_4(Gamma_1(N)) for 
\\        1 <= N <= 28.
\\ 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 ([email protected])
\\ Sun Feb  7 14:46:11 1999
\\ ---------------------------------------------------------------


E[5,1] = [x, [1,-4,2,-5,6,32,-38,26,100,-78,-50,-108,266,22,442,-514,2,500,-518,126,412,-878,600,282,-150,386,702,-598,-1194,-550,1562,1846,-2208,-2334,-700,2050,1852,-2494,2762,3126,-78,-1300,1742,3772,-358,-2214,-2600,-1168]];

E[6,1] = [x, [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,-618,128,-1476,1190,-462,-2536,2292,-726,380,1590,2432,614,-1852,-2136,1758,-540,1982,-2688,-2302,4374,-1600,3332]];

E[7,1] = [x, [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,-688,1388,244,90,1318,-1776,-1118,2274,-210,-2010,1112,124,2008,2884,2228,-820,3892,-5048,-2962,3334,1860,-4268]];
E[7,2] = [x^2+2*x+4, [2,2*x,-7*x-14,7*x,-14*x+14,5*x+10,-28,21*x+42,49*x,-159*x,116,-147*x-294,219*x,700,-248,525*x,-303*x-606,105*x+210,-413*x,-415*x-830,-864,1113*x+2226,-103*x,2184,-329*x,-1764,-1379*x-2758,-679*x,457*x,1125*x+2250,-3076,144,2149*x,1125*x+2250,504,-201*x,-1619*x-3238,-679*x-1358,-467*x,2408,-2821*x,3253*x+6506,3164,2557*x,397*x+794,5828,-3339*x-6678,3560]];

E[8,1] = [x^2+2*x+8, [1,x,-2*x-2,4*x+4,-8,6*x+6,-20*x-20,-14,14*x+14,-152,60*x+60,224,-92*x-92,-70,166*x+166,336,-12*x-12,-202*x-202,-36*x-36,-66*x-66,-72,-294,-464,206*x+206,266,994,-284*x-284,1176,102*x+102,716*x+716,-1710,-1664,254*x+254,-1062,-1018*x-1018,-300*x-300,744,-68*x-68,670*x+670,-1960,-756*x-756,-1234*x-1234,884*x+884,3904,3330,452*x+452,-1736,1102*x+1102]];
E[8,2] = [x, [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,-478,1566,-968,-780,-1994,-942,1408,-2692,1626,-684,302,1352,3142,3036,-264,-2826,3084,-2418,-960,2882,1086,88,-3476]];

E[9,1] = [x^4+3*x^3+15*x^2-18*x+36, [30,30*x,2*x^3-30*x-126,11*x^3+45*x^2+165*x-198,x^3+5*x^2+105*x+12,-45*x^3-225*x^2-915*x-540,47*x^3+85*x^2+705*x-846,18*x^3+756,-54*x^3+1032,83*x^3+225*x^2+1245*x-1494,27*x^3+135*x^2+435*x+324,11*x^3+85*x^2+165*x-198,108*x^3-5124,-277*x^3-405*x^2-4155*x+4986,-53*x^3-265*x^2-975*x-636,-63*x^3-315*x^2+1785*x-756,-324*x^3+13932,875*x^3+3015*x^2+13125*x-15750,-377*x^3-1885*x^2-8805*x-4524,263*x^3+1975*x^2+3945*x-4734,288*x^3+8856,486*x^3-26508,865*x^3+4325*x^2+22245*x+10380,-567*x^3-2835*x^2-11715*x-6804,144*x^3-11772,-215*x^3-1075*x^2-165*x-2580,963*x^3+4815*x^2+17175*x+11556,-1105*x^3-5315*x^2-16575*x+19890,162*x^3-30456,-540*x^3+51900,-1717*x^3-6975*x^2-25755*x+30906,108*x^3-35904,-1321*x^3-1935*x^2-19815*x+23778,1593*x^3+7965*x^2+16635*x+19116,443*x^3+2515*x^2+6645*x-7974,1991*x^3+1485*x^2+29865*x-35838,-755*x^3-3775*x^2-28515*x-9060,-3805*x^3-9635*x^2-57075*x+68490,432*x^3+29544,551*x^3+4905*x^2+8265*x-9918,927*x^3+4635*x^2+42015*x+11124,-576*x^3+89208,-1512*x^3+7836,-2079*x^3-10395*x^2-61935*x-24948,2603*x^3+6835*x^2+39045*x-46854,468*x^3-118044,1404*x^3-43032,2243*x^3+3325*x^2+33645*x-40374]];
E[9,2] = [x, [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,-1330,0,1820,0,-646,0,380,0,0,2576,0,1748,-3850,-3400,0,0,0,3458,0,-1150,0,-5236,6032]];

E[10,1] = [x, [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,-258,-988,-24,950,-1038,-124,132,-1254,-2860,750,-448,2246,-568,-1524,3702,3180,-2098,4392,-2158,-1074,2840,-2668]];
E[10,2] = [x^2+4, [1,x,-x,-5*x-5,13*x,-28,-6*x,-32*x,60,29*x,-90,-128,118*x,242,-181*x,113*x,54*x,20,542,-217*x,-1128,-316*x,720,239*x,490,728*x,-578,-731*x,483*x,-370,264*x,-767*x,12,-612*x,-3100,-250,2152,-262*x,1759*x,-267*x,-2126*x,-2500,-2578,-768,1304*x,2558*x,3480,3132]];

E[11,1] = [x^2-2*x-2, [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,-420*x+986,488*x-1368,380*x-206,320*x+170,664*x-1519,-412*x-192,-796*x+574,408*x+497,828*x-2294,-1708*x+2238,-408*x-1462,616*x+793,-384*x-1676,652*x+956,144*x+1914,900*x-3771,-1216*x+2519,-348*x+2669,1104*x-1676,464*x-4786,240*x+168,-928*x+2428]];
E[11,2] = [x^8+7*x^7+31*x^6+71*x^5+319*x^4+78*x^3+1664*x^2-2816*x+1936, 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E[12,1] = [x^4+4*x^2+64, [8,8*x,x^3-4*x^2-4*x-8,-2*x^3-24*x,8*x^2+16,-10*x^3+40*x,-80,-8*x^3-96*x,-72*x^2-144,28*x^3-112*x,34*x^3+408*x,232*x^2+464,-1040,28*x^3+336*x,-232*x^2-464,56*x^3-224*x,-122*x^3-1464*x,-50*x^3+200*x,-3536,760*x^2+1520,-300*x^3+1200*x,3280,-88*x^2-176,362*x^3-1448*x,-188*x^3-2256*x,6160,334*x^3+4008*x,-1400*x^2-2800,-186*x^3+744*x,-8528,232*x^3+2784*x,1896*x^2+3792,130*x^3-520*x,-20*x^3-240*x,-2024*x^2-4048,-362*x^3-4344*x,584*x^2+1168,-5840,-264*x^2-528,4*x^3-16*x,250*x^3+3000*x,-390*x^3+1560*x,10096,800*x^3-3200*x,-1520,478*x^3+5736*x,264*x^2+528,568*x^2+1136]];
E[12,2] = [x, [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,-1054,558,8,1764,1622,-1134,-592,-1908,954,2564,-738,-2440,-2554,-820,1944,-1242,1116,1070,-576,-1342,1422,872,1340]];

E[13,1] = [x, [1,-5,-7,-7,-13,-26,13,77,-126,-96,-82,196,-131,336,-201,-105,-432,-294,-56,478,9,98,1304,-308,-1190,70,420,588,-684,373,-1734,1892,1435,-1776,-1869,2466,-3323,-2730,-544,1624,-336,-3029,-28,422,492,2991,-70,2851]];
E[13,2] = [x^2-3*x+3, [1,x,2*x-4,-2*x+3,8*x-24,8*x,13*x+26,-117*x+117,66*x-198,-78*x+156,-141*x+282,180*x-270,-83*x,157*x,-104*x+104,348*x-522,93,164*x-492,-145*x+145,-454*x,-610*x+1830,530*x-795,1276,-912*x+1368,-564*x,-116*x+348,429*x-858,182,-1506*x+3012,1792*x-2688,687*x-687,286*x-572,-1974,489*x-1467,-236*x+236,27*x-81,-2044*x+3066,1211,580*x-1740,528*x,-2574*x+2574,3744*x-7488,-637,2598*x-2598,645*x,1184*x,2522*x-2522,1042*x-2084]];
E[13,3] = [x^2+9, [1,x,-1,-3*x,-5*x,16*x,-13*x+26,-45,2*x,162,-144,88*x,-101*x,-64*x,-97,-37*x,-414,-174*x,376,-12*x,119*x,366*x,-830,-146*x,146*x,-284*x,396,182,-612,361*x,90,2086,-1467,138*x,-2419,-310*x,561*x,1874,398*x,796*x,-1566,-657,-1222,1260,-114*x,27*x,1996,2833]];
E[13,4] = [x^2+4*x+16, [4,4*x,2*x,68,-20*x-80,-32*x,-13*x-208,13*x+52,-30*x-120,78*x,197*x,-296,-227*x,-165*x,156*x+624,-648,372,864*x+3456,-145*x-580,862*x,-654*x-2616,860,-304,2512,-266*x,-238*x-952,-819*x,6552,522*x,-6536,-327*x-1308,-2158*x,2920,-1671*x-6684,-912*x-3648,2115*x+8460,2056,11604,-2360*x-9440,280*x,-1326*x-5304,4264*x,-1612,1246*x+4984,267*x,1278*x,-4238*x-16952,3070*x]];
E[13,5] = [x^2-x-4, [1,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-718,142*x+558,-304*x-152,-140*x+1216,-43*x+782,-236*x+1246,-344*x+328,567*x+604,202*x-2326,847*x-676,-244*x-2134,441*x-2106,-924*x+1802,-430*x+2610,902*x-1718,-1114*x-1642,-29*x-80,558*x-358,-874*x+2916,206*x+794,1395*x-2306,670*x+680,-537*x+1284]];
E[13,6] = [x^2+6*x+12, [2,2*x,7*x+28,-16*x-48,13*x+78,13*x,-52*x-182,27*x+54,-51*x-306,-57*x-228,69*x+276,84*x+252,23*x,227*x,-85*x-170,396*x+1188,852,-11*x-66,-17*x-34,-95*x,337*x+2022,-1160*x-3480,-2488,492*x+1476,-177*x,713*x+4278,-1959*x-7836,3712,255*x+1020,704*x+2112,411*x+822,2243*x+8972,-744,-687*x-4122,-2545*x-5090,753*x+4518,100*x+300,-3068,-943*x-5658,-939*x,-873*x-1746,1287*x+5148,4,-2841*x-5682,2451*x,-1589*x,-1685*x-3370,-1681*x-6724]];
E[13,7] = [x^4-5*x^3+23*x^2-10*x+4, [46,46*x,25*x^3-115*x^2+437*x-20,-10*x^3-820,27*x^3-115*x^2+621*x-270,145*x^3-667*x^2+2645*x-116,236*x^3-1150*x^2+5520*x-290,343*x^3-1725*x^2+7889*x-3430,-405*x^3+1909*x^2-9315*x+4050,-775*x^3+3565*x^2-16307*x+620,665*x^3-3059*x^2+12535*x-532,-200*x^3-12720,-75*x^3+345*x^2+299*x+60,-1095*x^3+5037*x^2-26105*x+876,119*x^3+345*x^2+2737*x-1190,280*x^3+14680,-330*x^3-3140,-1445*x^3+6141*x^2-33235*x+14450,3355*x^3-17273*x^2+77165*x-33550,2325*x^3-10695*x^2+49289*x-1860,-785*x^3+4577*x^2-18055*x+7850,-170*x^3+5380,80*x^3+9320,200*x^3+15480,-3865*x^3+17779*x^2-83145*x+3092,3887*x^3-22195*x^2+89401*x-38870,2445*x^3-11247*x^2+41515*x-1956,640*x^3-26640,-4175*x^3+19205*x^2-68379*x+3340,520*x^3+8140,6399*x^3-33005*x^2+147177*x-63990,-14075*x^3+64745*x^2-301599*x+11260,1680*x^3+98200,3443*x^3-15985*x^2+79189*x-34430,-3445*x^3+18101*x^2-79235*x+34450,-9885*x^3+45839*x^2-227355*x+98850,1080*x^3+83040,-834*x^3-18340,4919*x^3-32775*x^2+113137*x-49190,-22175*x^3+102005*x^2-430859*x+17740,7071*x^3-30475*x^2+162633*x-70710,-6815*x^3+31349*x^2-136275*x+5452,-210*x^3-52180,13475*x^3-65067*x^2+309925*x-134750,10625*x^3-48875*x^2+228183*x-8500,23875*x^3-109825*x^2+469499*x-19100,-21385*x^3+110561*x^2-491855*x+213850,-8895*x^3+40917*x^2-161115*x+7116]];

E[14,1] = [x, [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,-1358,-832,444,1870,1378,1944,-848,-2966,2800,510,592,-2686,-1012,544,1858,-300,-2358,1392,1778,1214,1040,-3868]];
E[14,2] = [x, [1,2,-2,-12,7,48,56,-114,2,-120,-54,236,146,126,-376,-12,174,138,380,-484,576,-1150,776,378,-390,-1330,-1500,380,636,146,198,-376,2130,-78,-2338,-1002,-2752,-520,1280,1764,-768,1812,-448,-2136,4430,198,-2284,4412]];
E[14,3] = [x^2+2*x+4, [2,2*x,5*x+10,-9*x,-14*x-42,57*x+114,-140,-51*x-102,5*x,69*x,228,-23*x-46,-253*x,-84,-248,201*x,393*x+786,-219*x-438,-709*x,-419*x-838,-192,313*x+626,461*x,-1176,-1017*x,-3668,285*x+570,-499*x,-1107*x,-923*x-1846,3084,-4112,2049*x,141*x+282,2968,-57*x,-839*x-1678,2833*x+5666,-2311*x,2520,3267*x,-1287*x-2574,-5348,4185*x,85*x+170,-780,2833*x+5666,-248]];
E[14,4] = [x^2-2*x+4, [2,2*x,-x+2,-7*x,-18*x-2,35*x-70,132,59*x-118,-137*x,7*x,212,75*x-150,-11*x,-996,520,171*x,-417*x+834,-17*x+34,-51*x,439*x-878,-1568,295*x-590,495*x,1864,873*x,-580,-1085*x+2170,-1553*x,-129*x,-965*x+1930,-100,1872,755*x,-2357*x+4714,56,-2295*x,-1109*x+2218,1559*x-3118,2251*x,5576,-1579*x,2451*x-4902,-2340,1275*x,35*x-70,-5468,2243*x-4486,2344]];

E[15,1] = [x, [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,-1218,-88,36,-970,1042,1936,732,-2214,20,-1330,-1208,-3514,-2068,-24,-618,3340,-178,-1888,1922,2526,-1160,-4468]];
E[15,2] = [x, [1,3,-3,-5,20,-24,74,54,-124,-120,-78,200,-70,330,92,-24,450,24,-322,-196,-288,-430,-520,156,1026,-286,-1734,452,-1404,-1474,1086,1244,2328,2118,2324,258,-808,2378,-52,-3720,426,-1440,-3130,3576,2666,-2718,-3832,1100]];
E[15,3] = [x^4+25*x^2+64, [8,8*x,x^3+17*x,-2*x^3-8*x^2-42*x-88,-4*x^3-116*x,16*x^2+32,16*x^3+320*x,-12*x^3-124*x,-64*x^2-1024,-12*x^3-268*x,112*x^2+2672,32*x^2+608,-24*x^3+24*x,32*x^2-1232,-28*x^3-1244*x,-76*x^3-2028*x,108*x^3+2492*x,-16*x^2+544,-256*x^2-1840,-92*x^3-1084*x,-480*x^2-6144,168*x^3+1992*x,800*x^2+8480,-60*x^3+644*x,-384*x^2-9264,8*x^3-1784*x,496*x^2+1712,-548*x^3-9844*x,404*x^3+7572*x,-544*x^2-4144,-220*x^3-8076*x,348*x^3+6636*x,944*x^2+160,60*x^3-1492*x,-96*x^2-896,1328*x^2+17488,480*x^2+7456,280*x^3+9128*x,-396*x^3-5292*x,36*x^3+1124*x,900*x^3+22004*x,240*x^2+26400,32*x^2+27248,-1184*x^2-31168,400*x^3+9584*x,-708*x^3-9940*x,288*x^2-24032,-2848*x^2-44032]];
E[15,4] = [x^8+209*x^4+1600, [2720,2720*x,13*x^7+14*x^6+80*x^4+2557*x^3+2126*x^2+6320,-31*x^7-40*x^5-5679*x^3-9960*x,76*x^6-320*x^4+13484*x^2-38880,54*x^7+80*x^5+12086*x^3+33520*x,68*x^6+160*x^4+14212*x^2+39840,560*x^5+46960*x,-264*x^6-49416*x^2,178*x^7+32082*x^3,-274*x^7+880*x^5-53266*x^3+151120*x,4800*x^4+711040,476*x^6+480*x^4+126684*x^2-342880,-804*x^7-2080*x^5-164836*x^3-463520*x,-372*x^6-3040*x^4-40948*x^2-131360,1680*x^5+298640*x,546*x^7+134594*x^3,1612*x^7-5440*x^5+308908*x^3-878560*x,5440,2076*x^6-10720*x^4+334684*x^2-982880,498*x^7+2960*x^5+73682*x^3+220240*x,-1052*x^6+960*x^4-278268*x^2-753760,-824*x^6-52856*x^2,-526*x^7-121454*x^3,-2742*x^7+5040*x^5-597078*x^3+1662960*x,-4964*x^6+18880*x^4-915076*x^2+2620320,-1020*x^7-6400*x^5-145180*x^3-437600*x,-3892*x^6-2240*x^4-931028*x^2-2556960,-880*x^5-1372400*x,11616*x^6+2092704*x^2,-998*x^7-228102*x^3,-964*x^6+7680*x^4-109476*x^2+348320,4422*x^7+15440*x^5+838598*x^3+2389360*x,240*x^5+1164080*x,-2824*x^6-88456*x^2,-1430*x^7+11600*x^5-158870*x^3+508400*x,-67200*x^4-6200960,4236*x^6+8480*x^4+1198924*x^2-3219680,5788*x^6+46560*x^4+649692*x^2+2073440,34960*x^5+7170960*x,-8062*x^7-1557278*x^3,2196*x^7-11520*x^5+350964*x^3-1032480*x,28800*x^4+6523840,1506*x^7-880*x^5+389954*x^3+1059280*x,-15052*x^6-64640*x^4-2649068*x^2-7649760,-31120*x^5-7106960*x,-984*x^6+97704*x^2,38400*x^4+7690240]];

E[16,1] = [x^10+2*x^9-2*x^8+8*x^7-40*x^6-352*x^5-320*x^4+512*x^3-1024*x^2+8192*x+32768, [32768,32768*x,31*x^9-38*x^8-86*x^7+352*x^6-2264*x^5-5120*x^4+8512*x^3-3328*x^2-36864*x+335872,23*x^9+106*x^8+250*x^7+224*x^6-664*x^5-7168*x^4-13504*x^3-54528*x^2-53248*x+204800,-80*x^9-32*x^8-608*x^7-896*x^6+6272*x^5+18944*x^4+13312*x^3+65536*x^2-16384*x-1245184,-55*x^9-170*x^8-826*x^7+2080*x^6+8344*x^5+3584*x^4+31936*x^3+107776*x^2-372736*x-1122304,81*x^9+646*x^8+246*x^7-2784*x^6-3496*x^5-22528*x^4-89408*x^3+113920*x^2+872448*x+188416,-320*x^9-768*x^8+384*x^7+3840*x^6+24064*x^5+56320*x^4+98304*x^3-204800*x^2-851968*x-2424832,143*x^9+250*x^8+74*x^7-5536*x^6-16984*x^5-55296*x^4-92864*x^3+197376*x^2+520192*x+2564096,112*x^9+96*x^8+2592*x^7+5248*x^6-3456*x^5+2560*x^4+9216*x^3-442368*x^2-1130496*x+1114112,321*x^9-346*x^8-2922*x^7+3616*x^6-19240*x^5-39936*x^4+112320*x^3-45824*x^2+118784*x+1368064,1280*x^8+512*x^7-10752*x^6+6144*x^5-26624*x^4-204800*x^3+16384*x^2+1441792*x+262144,343*x^9-918*x^8-3206*x^7+992*x^6-7320*x^5-102400*x^4+334656*x^3+445184*x^2-413696*x+3612672,-1152*x^9+2048*x^8+2816*x^7-5632*x^6+89088*x^5+206848*x^4-540672*x^3-49152*x^2+1179648*x-15728640,265*x^9-1194*x^8-2234*x^7-9440*x^6-18792*x^5+55808*x^4+134336*x^3+804096*x^2+1363968*x-1908736,-1792*x^8-1536*x^7+19968*x^6+6144*x^5-34816*x^4+319488*x^3+212992*x^2-4587520*x-2359296,-441*x^9-1782*x^8+14874*x^7+6112*x^6-47640*x^5+178176*x^4-413888*x^3-2344192*x^2+1945600*x+7413760,-775*x^9+1526*x^8-8218*x^7-39136*x^6-16104*x^5+180736*x^4+90304*x^3+1815808*x^2+5558272*x-204800,2305*x^9-3674*x^8+2582*x^7+26912*x^6-184616*x^5-438272*x^4+575168*x^3-135936*x^2-6074368*x+35446784,-961*x^9-2534*x^8-7318*x^7+5728*x^6+164392*x^5+323584*x^4+293184*x^3+471808*x^2-5115904*x-18800640,240*x^9-672*x^8+8480*x^7+8320*x^6-164224*x^5-230912*x^4+328704*x^3-2277376*x^2+2670592*x+29949952,-2208*x^9+2112*x^8+64*x^7-6144*x^6+171264*x^5+487424*x^4-337920*x^3-286720*x^2-1146880*x-31064064,512*x^9+6656*x^8+2048*x^7-48128*x^6-8192*x^5-225280*x^4-1097728*x^3+98304*x^2+6291456*x-14680064,1711*x^9+2874*x^8+20490*x^7+20320*x^6-280408*x^5-496640*x^4-103104*x^3-1686784*x^2+4354048*x+37953536,-1376*x^9-4160*x^8-23616*x^7-65536*x^6+62208*x^5+274432*x^4+141312*x^3+4808704*x^2+7438336*x-17170432,-1600*x^9-9984*x^8-2176*x^7+47872*x^6+54784*x^5+592896*x^4+1802240*x^3+155648*x^2-2686976*x-6619136,215*x^9+4714*x^8-2438*x^7+2528*x^6+75624*x^5+67584*x^4-820416*x^3+723712*x^2-3231744*x-25223168,-6544*x^9+9824*x^8+29216*x^7+12416*x^6+266880*x^5+1014272*x^4-1448960*x^3-6438912*x^2+2539520*x-45023232,2857*x^9+4758*x^8-18170*x^7+58912*x^6+178584*x^5-690688*x^4+66752*x^3+2278656*x^2-16822272*x-34938880,6865*x^9+6150*x^8-266*x^7-7136*x^6-516520*x^5-1457152*x^4-572736*x^3+1809664*x^2+10014720*x+74637312,-2944*x^9-6656*x^8+12544*x^7+64000*x^6+234496*x^5+436224*x^4-196608*x^3-6471680*x^2-15073280*x-23789568,4608*x^9+768*x^8+512*x^7+29184*x^6-460800*x^5-292864*x^4-647168*x^3-1523712*x^2+7995392*x+71041024,3839*x^9-1894*x^8-21526*x^7+10848*x^6-3032*x^5-450560*x^4+330048*x^3+3306240*x^2-6557696*x+17375232,8896*x^9-2688*x^8+21120*x^7+75264*x^6-630272*x^5-1968128*x^4+675840*x^3-2719744*x^2-983040*x+119799808,2409*x^9-15210*x^8-24186*x^7+18720*x^6+18328*x^5+131584*x^4+1856704*x^3+6055168*x^2-4075520*x-29433856,5127*x^9-5878*x^8-614*x^7-48928*x^6-317464*x^5-795648*x^4+1777472*x^3+1121024*x^2+7155712*x+51191808,-4368*x^9+21344*x^8-18144*x^7+15488*x^6+1007232*x^5+1042944*x^4-4144128*x^3+5881856*x^2-4145152*x-175570944,-9311*x^9-1946*x^8+32214*x^7-82144*x^6+308696*x^5+1193984*x^4-1114432*x^3-2339584*x^2-110592*x-51847168,2111*x^9-20326*x^8+17002*x^7+232800*x^6+148008*x^5+470016*x^4+4127040*x^3-3828992*x^2-45256704*x+31531008,-11344*x^9-1056*x^8+64928*x^7-183168*x^6-124800*x^5+1518080*x^4-3820544*x^3-4063232*x^2+38780928*x+15532032,-5263*x^9-25274*x^8-35402*x^7+110880*x^6+329048*x^5+1484800*x^4+3914432*x^3-5481216*x^2-28094464*x-58793984,-6897*x^9+18298*x^8+8266*x^7-116896*x^6+338344*x^5+965632*x^4-2788032*x^3-548096*x^2+32403456*x-90759168,-3609*x^9-19894*x^8-52518*x^7+112864*x^6+314600*x^5-283648*x^4+4540224*x^3+5372672*x^2-14864384*x+8462336,4608*x^9+3328*x^8+17920*x^7+105984*x^6-350208*x^5-870400*x^4-3284992*x^3-10928128*x^2-19529728*x+84148224,-832*x^9+11520*x^8+19840*x^7-125184*x^6+3584*x^5+457728*x^4-2916352*x^3-5644288*x^2+30605312*x-30212096,-6953*x^9+746*x^8-33414*x^7-234272*x^6-147608*x^5+1799168*x^4+416576*x^3+9005824*x^2+39923712*x+3874816,7472*x^9+3296*x^8+1696*x^7+107648*x^6-684928*x^5-2381312*x^4+1545216*x^3-5079040*x^2+7192576*x+129302528,-17425*x^9-23110*x^8+5514*x^7-75424*x^6+804520*x^5+2847744*x^4+974144*x^3-4865280*x^2-23629824*x-128245760]];
E[16,2] = [x, [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,-478,1566,968,780,-1994,-942,-1408,2692,1626,684,302,-1352,3142,-3036,264,-2826,-3084,-2418,960,2882,1086,-88,3476]];

E[17,1] = [x, [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,-210,-232,432,-1186,-366,-472,2760,1098,2528,1614,-3328,-2458,272,3516,-1842,-3516,3398,-2640,2882,-42,-3220,-2080]];
E[17,2] = [x^3-x^2-24*x+32, [4,4*x,-x^2-7*x+24,-2*x^2-6*x+24,5*x^2+11*x-56,-9*x^2+17*x+104,-14*x^2-10*x+272,-68,-14*x^2+46*x+320,43*x^2-27*x-504,-14*x^2-106*x-344,-55*x^2-9*x+1208,78*x^2+122*x-840,112*x^2+128*x-2264,-58*x^2-166*x+1744,4*x^2-180*x+848,-108*x^2+140*x+2120,130*x^2-130*x-1232,-14*x^2-298*x+216,108*x^2+420*x-560,-257*x^2-31*x+3672,64*x+1096,87*x^2-807*x-1944,-210*x^2-302*x+336,166*x^2-606*x-2736,-260*x^2-220*x+3960,66*x^2+326*x+496,148*x^2+748*x+800,151*x^2+241*x-4552,-358*x^2+606*x+7096,120*x^2+632*x-3912,-302*x^2-658*x+12048,363*x^2+349*x-9064,-714*x^2-574*x+14672,-407*x^2-1873*x+9176,256*x^2+1920*x-4232,426*x^2-138*x-3280,-464*x^2-1088*x+5224,279*x^2+1505*x-5272,775*x^2+1385*x-14664,254*x^2+2442*x-4504,434*x^2-402*x-4352,110*x^2-550*x-13256,80*x^2+1728*x-4464,788*x^2-740*x-14648,-238*x^2+774*x+4840,-783*x^2+2463*x+13048,677*x^2+947*x-23608]];
E[17,3] = [x^8+50*x^6+673*x^4+2160*x^2+256, [1088,1088*x,-6*x^7+6*x^6-290*x^5+290*x^4-3532*x^3+3260*x^2-7504*x+2880,19*x^7-14*x^6+924*x^5-654*x^4+11689*x^3-7584*x^2+30336*x-11072,-40*x^7-8*x^6-1956*x^5-500*x^4-25292*x^3-8812*x^2-76048*x-26688,32*x^7+26*x^6+1490*x^5+1302*x^4+17058*x^3+16348*x^2+31952*x+12480,-68*x^6-2924*x^4-25704*x^2-8704,-68*x^7+102*x^6-3434*x^5+4318*x^4-47430*x^3+41752*x^2-174080*x+53312,-68*x^7-3400*x^5-45220*x^3-124576*x,38*x^7+4*x^6+1780*x^5+624*x^4+20318*x^3+13484*x^2+43536*x+16064,211*x^7+30*x^6+10408*x^5+838*x^4+139605*x^3-12600*x^2+479904*x-164032,-190*x^7+80*x^6-9920*x^5+2756*x^4-145586*x^3+22772*x^2-531568*x+183104,-125*x^7+142*x^6-5560*x^5+7566*x^4-54107*x^3+95264*x^2-12672*x+13760,-295*x^7-144*x^6-15114*x^5-6416*x^4-210915*x^3-68992*x^2-691584*x-242112,204*x^7+10268*x^5+138992*x^3+480352*x,-544*x^6-24480*x^4-263296*x^2-430848,-816*x^7-40188*x^5-522444*x^3-1611328*x,816*x^7+39644*x^5+510476*x^3+1634720*x,-251*x^7-226*x^6-11208*x^5-12306*x^4-112877*x^3-163344*x^2-86208*x-45376,1292*x^6+58140*x^4+588880*x^2+552704,640*x^7-436*x^6+31024*x^5-19192*x^4+396512*x^3-221956*x^2+1091376*x-393152,835*x^7-116*x^6+41486*x^5-9460*x^4+545931*x^3-175680*x^2+1679744*x-587712,-342*x^7+332*x^6-15612*x^5+9496*x^4-175382*x^3-6772*x^2-491376*x-165952,-2040*x^7-99892*x^5-1295196*x^3-3837920*x,136*x^6+8432*x^4+164968*x^2+374272,-61*x^7+472*x^6-5062*x^5+14880*x^4-118761*x^3+50504*x^2-540640*x+190656,-68*x^6+2516*x^4+153816*x^2+800768,-1496*x^6-65960*x^4-662864*x^2-948736,-678*x^7+462*x^6-32090*x^5+19338*x^4-398436*x^3+230620*x^2-1059024*x+382784,1473*x^7+26*x^6+74340*x^5+3818*x^4+1026243*x^3+138544*x^2+3559232*x+1222336,1069*x^7-416*x^6+57182*x^5-18792*x^4+873297*x^3-157256*x^2+3606304*x+1209280,1972*x^7+97512*x^5+1249364*x^3+2737952*x,-1710*x^7+1322*x^6-84350*x^5+63942*x^4-1080128*x^3+727036*x^2-2796880*x+1024064,1156*x^6+51340*x^4+373320*x^2-1766912,-788*x^7-1014*x^6-42178*x^5-44658*x^4-663166*x^3-379036*x^2-3096880*x+1012544,-1224*x^6-43112*x^4-74528*x^2+2078080,-2720*x^7-137496*x^5-1865240*x^3-6049824*x,1224*x^6+49640*x^4+494496*x^2+167552,888*x^7+590*x^6+44654*x^5+33322*x^4+574246*x^3+401532*x^2+1450320*x+533440,-1176*x^7+896*x^6-52284*x^5+50492*x^4-525876*x^3+707260*x^2-463568*x+226624,2663*x^7-2306*x^6+129216*x^5-112522*x^4+1596185*x^3-1295336*x^2+3679456*x-1381056,-2992*x^7-157760*x^5-2312816*x^3-7941856*x,1749*x^7+1862*x^6+86864*x^5+89158*x^4+1104667*x^3+949920*x^2+2580864*x+974272,-3672*x^6-172584*x^4-2016336*x^2-4434688,3625*x^7+2520*x^6+174126*x^5+124520*x^4+2137413*x^3+1532944*x^2+5136192*x+1898304,633*x^7-158*x^6+41900*x^5-18358*x^4+824435*x^3-377272*x^2+4201056*x+1392960,-1574*x^7+2988*x^6-79828*x^5+133472*x^4-1030046*x^3+1249140*x^2-2040176*x+823872,-550*x^7-5074*x^6-24294*x^5-209566*x^4-185840*x^3-1776812*x^2+1793136*x+421568]];
E[17,4] = [x^12+4*x^11+8*x^10-20*x^9+322*x^8+924*x^7+1320*x^6-468*x^5+18817*x^4+54040*x^3+76832*x^2+21952*x+3136, 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E[17,5] = [x^4+74*x^2+1072, [6,x^2+34,6*x,-x^3-46*x,x^3+40*x,42*x,-14*x^2-308,x^3+14*x^2-2*x+686,-168,-7*x^3-364*x,7*x^3+322*x,-x^3-88*x,-7*x^3-490*x,14*x^3+524*x,-76*x^2-3592,28*x^2+2464,-92*x^2-4268,140*x^2+3416,-21*x^3-582*x,-64*x^2-2728,7*x^3+196*x,56*x^3+2288*x,21*x^3+1428*x,84*x^2-1176,-42*x^2+1428,-22*x^3-844*x,378*x^2+16380,-1008,-42*x^3-2310*x,49*x^3+2086*x,-56*x^3-3416*x,-568*x^2-18016,-54*x^3-3126*x,-90*x^2+804,20*x^3-1054*x,-160*x^2-14092,512*x^2+11024,644*x^2+21476,182*x^3+7070*x,77*x^3+3632*x,-77*x^3-1982*x,-104*x^2-12104,-89*x^3-3350*x,-36*x^2+21408,-154*x^3-5068*x,-77*x^3-7406*x,-63*x^3-1884*x,70*x^3+7042*x]];

E[18,1] = [x, [1,2,0,-6,-16,-12,38,126,20,-168,-30,-88,254,-42,-52,96,-198,660,-538,884,-792,218,-520,492,-810,1154,618,128,1476,1190,462,-2536,-2292,726,380,-1590,2432,614,-1852,2136,-1758,540,1982,2688,-2302,-4374,-1600,3332]];
E[18,2] = [x^2+2*x+4, [2,2*x,6*x+6,9*x+18,-31*x,-15*x,37*x+74,-84,-56,-195*x-390,111*x,205*x+410,-332,261*x+522,-43*x,177*x,228,-159*x-318,191*x,421*x+842,312,364,1133*x,-1083*x,-2100,-901*x,387*x,-551*x-1102,-24,-1004,1401*x+2802,-1760,-1503*x-3006,-2661*x,121*x+242,2829*x+5658,461*x,2977*x+5954,-6632,681*x+1362,-3981*x,4008,2548,1161*x,-3611*x-7222,4092,5992,-755*x-1510]];
E[18,3] = [x^4-3*x^3+30*x^2-81*x+729, [702,-2*x^3-48*x^2+48*x+54,702*x,3*x^3+72*x^2-2178*x+4131,89*x^3+30*x^2+2076*x-4509,-171*x^3+108*x^2-4320*x+8829,-29*x^3-696*x^2+2802*x-21681,78*x^3-234*x^2+234*x-2106,-390*x^3+1170*x^2-1170*x+62478,-33*x^3-792*x^2+2898*x-24381,675*x^3+1458*x^2+13284*x-32967,-101*x^3-2424*x^2+8742*x-74493,1092*x^3-3276*x^2+3276*x+47736,-231*x^3-5544*x^2+9756*x-160137,1865*x^3-5784*x^2+56328*x-100899,-951*x^3+8766*x^2-40356*x+57267,1092*x^3-3276*x^2+3276*x+8424,-87*x^3-2088*x^2-2124*x-54513,-1717*x^3-9618*x^2-21972*x+77949,601*x^3+14424*x^2+10848*x+380403,-2496*x^3+7488*x^2-7488*x-8424,-1638*x^3+4914*x^2-4914*x-42822,-859*x^3+6762*x^2-34140*x+50571,-1059*x^3+18810*x^2-63036*x+72819,3120*x^3-9360*x^2+9360*x-299052,-1813*x^3+2820*x^2-49152*x+95283,-4089*x^3-7578*x^2-82980*x+200961,-605*x^3-14520*x^2+185106*x-578961,-78*x^3+234*x^2-234*x+1025622,1404*x^3-4212*x^2+4212*x-314496,183*x^3+4392*x^2-187614*x+306747,5148*x^3-15444*x^2+15444*x+481572,1119*x^3+26856*x^2+97398*x+631071,3339*x^3+8532*x^2+63072*x-161757,-1091*x^3-26184*x^2-159144*x-551097,939*x^3+22536*x^2+282834*x+328455,-11923*x^3+48702*x^2-383556*x+656775,-1325*x^3-31800*x^2+38118*x-900693,-1248*x^3+3744*x^2-3744*x+603720,-1257*x^3-30168*x^2+263934*x-1082241,-5649*x^3-66078*x^2-3420*x+222021,4368*x^3-13104*x^2+13104*x-2417688,9048*x^3-27144*x^2+27144*x-1102140,6369*x^3+91782*x^2-30708*x-233037,-191*x^3-4584*x^2+522660*x-647001,-17940*x^3+53820*x^2-53820*x+901368,8268*x^3-24804*x^2+24804*x-1245348,2419*x^3+58056*x^2-472938*x+2047707]];

E[19,1] = [x, [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,-726,2,1413,389,342,-1150,-1452,-1689,2144,-3000,-1006,2846,-1600,-2004,-462,720,-2338,2871,1658,-4176,-241,-745]];
E[19,2] = [x^3-3*x^2-18*x+38, [3,3*x,-x^2-4*x+20,x^2-8*x+7,-4*x^2+8*x+17,-x^2+8*x+23,x^2+16*x+34,-26*x^2+40*x+379,-57,-25*x^2+8*x+266,55*x^2-20*x-428,44*x^2-124*x-676,-76*x^2+20*x+830,-14*x^2+4*x+1162,81*x^2+168*x-1953,51*x^2-48*x-651,-19*x^2+68*x+1034,119*x^2-40*x-1480,-133*x^2-64*x+3047,-75*x^2+12*x+906,-36*x^2-120*x+1506,168*x^2-360*x-1533,-214*x^2+404*x+3188,70*x^2-320*x-1496,52*x^2+556*x-1508,-106*x^2-376*x-484,36*x^2-840*x+450,184*x^2-440*x-1982,-191*x^2+952*x+2848,31*x^2-140*x+1570,-284*x^2+244*x+1882,372*x^2-444*x-4938,-257*x^2+1072*x+1249,282*x^2-1296*x-2829,281*x^2+8*x-5269,-465*x^2-168*x+12009,-200*x^2+1936*x+3754,-572*x^2+448*x+6442,-376*x^2+920*x+9932,1058*x^2-1324*x-11602,-520*x^2+728*x+9962,-538*x^2-1300*x+10550,256*x^2+1720*x-4538,516*x^2+48*x-12075,246*x^2+1956*x-5736,390*x^2+912*x-12846,556*x^2-272*x-3731,599*x^2-3016*x-8428]];
E[19,3] = [x^4+x^3+19*x^2-18*x+324, [342,342*x,-x^3-19*x^2-19*x-324,-9*x^3-171*x^2+171*x-2916,72*x^3+1440,54*x^3-7128,143*x^3+1007*x^2+2717*x-2574,27*x^3+513*x^2-6669*x+8748,6498*x+6498,315*x^3+171*x^2+5985*x-5670,-801*x^3-1197*x^2-15219*x+14418,108*x^3+792,-648*x^3+94428,-63*x^3-1197*x^2-1881*x-20412,145*x^3+2755*x^2-4427*x+46980,927*x^3+4275*x^2+17613*x-16686,-1701*x^3+1539*x^2-32319*x+30618,-153*x^3-2907*x^2-37791*x-49572,395*x^3+5111*x^2+7505*x-7110,3275*x^3+6821*x^2+62225*x-58950,-783*x^3-14877*x^2-15903*x-253692,73*x^3+1387*x^2-28709*x+23652,181*x^3+3439*x^2+14041*x+58644,-2898*x^3+329184,-1161*x^3+4959*x^2-22059*x+20898,25*x^3+475*x^2-93233*x+8100,3087*x^3+7011*x^2+58653*x-55566,-3996*x^3-110016,1368*x^3+184680,187*x^3+3553*x^2+109231*x+60588,-2646*x^3+183060,2891*x^3-27493*x^2+54929*x-52038,-1377*x^3-26163*x^2-138339*x-446148,3411*x^3+9405*x^2+64809*x-61398,-6121*x^3-2755*x^2-116299*x+110178,-153*x^3-2907*x^2+108927*x-49572,-2340*x^3+393696,-665*x^3-12635*x^2+116299*x-215460,8586*x^3-884376,2367*x^3+48051*x^2+44973*x-42606,1467*x^3+27873*x^2+52155*x+475308,5490*x^3+818424,4187*x^3+43643*x^2+79553*x-75366,3672*x^3-681696,2143*x^3+40717*x^2-90953*x+694332,-4032*x^3+374220,-9073*x^3-41401*x^2-172387*x+163314,-2843*x^3-54017*x^2+82441*x-921132]];
E[19,4] = [x^24+6*x^23+30*x^22+165*x^21+324*x^20+507*x^19+8640*x^18-198*x^17+150159*x^16+380815*x^15-457500*x^14-4236807*x^13+8804667*x^12+22819878*x^11+65014764*x^10+394561656*x^9+839721312*x^8-574880448*x^7-565641152*x^6+5700475392*x^5+8881634304*x^4-5766379008*x^3+7209556992*x^2-10998982656*x+4804153344, 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E[19,5] = [x^4+55*x^2+3025, [55,-x^2-55,55*x,7*x^2-55*x+385,x^3-385,7*x^3+770,-8*x^3-14*x^2-440*x,56*x^2+440*x+3080,-x^3+42*x^2+385*x-1540,-7*x^3+57*x^2-385*x,7*x^3+111*x^2+385*x,7*x^3+7315,7*x^3+5005,-77*x^2-1870*x-4235,-134*x^2+2310*x-7370,-15*x^3+63*x^2-825*x,-28*x^3-442*x^2-1540*x,-56*x^2+715*x-3080,29*x^3+273*x^2+1595*x,63*x^3-370*x^2+3465*x,-216*x^2+2310*x-11880,-175*x^2+330*x-9625,76*x^2-3080*x+4180,35*x^3-52360,-104*x^3+56*x^2-5720*x,273*x^2-3410*x+15015,-111*x^3-595*x^2-6105*x,14*x^3+36960,-70*x^3-3850,-540*x^2+7700*x-29700,140*x^3+5005,-126*x^3-608*x^2-6930*x,-882*x^2-4675*x-48510,252*x^3-99*x^2+13860*x,239*x^3+840*x^2+13145*x,309*x^2-1155*x+16995,-133*x^3-51205,1288*x^2+14300*x+70840,-245*x^3+60940,8*x^3+1484*x^2+440*x,1358*x^2+8800*x+74690,-35*x^3+38500,-197*x^3-1911*x^2-10835*x,-84*x^3-124740,2948*x^2-4620*x+162140,231*x^3+51205,358*x^3-1708*x^2+19690*x,440*x^2+22330*x+24200]];

E[20,1] = [x^2-4*x+8, [2,2*x,0,-11*x+18,0,0,37*x-148,99*x,0,0,-284*x+568,0,-91*x,944,0,0,27*x-108,0,-936,0,0,-253*x+1012,0,0,176*x-352,-611*x,-1196,0,0,1746*x-3492,337*x-1348,0,0,-2191*x,0,-3514*x+7028,0,1819*x,0,0,3047*x-12188,0,7884,0,2717*x-10868,3289*x,0,0]];
E[20,2] = [x^12+6*x^11+18*x^10+40*x^9-256*x^7-736*x^6-2048*x^5+20480*x^3+73728*x^2+196608*x+262144, 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E[20,3] = [x, [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,-1314,-448,1548,278,-558,344,780,666,884,-114,-40,-154,2180,3696,1302,-4308,1550,48,1058,-3714,-1768,-4036]];
E[20,4] = [x^2+76, [1,0,x,-x+7,-x,20,-6*x,8*x,-84,7*x,6,-224,14*x,266,-35*x,43*x,-42*x,-28,182,49*x,408,124*x,48,-23*x,-1526,64*x,1246,-97*x,-147*x,902,168*x,-301*x,2940,-84*x,-364,254,-2360,-254*x,-175*x,351*x,218*x,-1972,-1330,1728,112*x,-434*x,-1512,1644]];

E[21,1] = [x, [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,-1266,232,-1792,-1906,-90,458,804,812,414,-1620,2370,-568,-266,-272,-1876,-152,610,1042,-2038,-2602,2354,1680,-668]];
E[21,2] = [x, [1,-3,-3,-18,7,-36,-34,42,-124,0,102,-160,398,-318,-268,240,-498,-132,398,92,-720,-502,-1024,-204,354,-286,414,56,12,1478,402,1280,1764,-2358,-52,-1746,-232,1694,-2932,1176,870,-2316,-106,-1128,4034,-1314,5096,-3076]];
E[21,3] = [x^2-3*x+9, [3,3*x,3*x-9,3*x,-21*x+21,-15*x+45,-192,84*x-252,16*x,84*x,-891,-253*x+759,316*x,1080,78,30*x,363*x-1089,-15*x+45,118*x,-370*x+1110,-1026,362*x-1086,-467*x,1431,-906*x,1509,-1086*x+3258,-1736*x,1353*x,-370*x+1110,-1944,1131,651*x,-1770*x+5310,-4674,-2454*x,1259*x-3777,-196*x+588,1252*x,-7938,786*x,2892*x-8676,4056,-3912*x,1493*x-4479,-12258,-3556*x+10668,3750]];
E[21,4] = [x^2+3*x-12, [1,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-10,26*x+612,144*x-1240,-170*x+270,288*x+182,-264*x-486,156*x-892,136*x+1188,-124*x-1098,-240*x+404,-356*x-1134,-432*x-1672,-192*x+2102,-324*x+704,300*x+972,-494*x+1188,890*x+1890,-684*x-502,22*x+378,-324*x+2342,876*x+1746,360*x-1168,264*x+1988]];
E[21,5] = [x^6+x^5+25*x^4-12*x^3+582*x^2+144*x+36, [14406,14406*x,300*x^5+297*x^4+7425*x^3-5475*x^2+172854*x+42768,-1176*x^5-588*x^4-29106*x^3+21462*x^2-716772*x