\\ ---------------------------------------------------------------
\\ ap_s2g1new_1-51.gp
\\ ---------------------------------------------------------------
\\ This is a PARI readable list of Hecke eigenvalues a_p of a 
\\ basis of newforms in S_2(Gamma_1(N)) for 
\\        1 <= N <= 51.
\\ 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 13:57:47 1999
\\ ---------------------------------------------------------------


E[11,1] = [x, [1,-2,-1,1,-2,1,4,-2,0,-1,0,7,3,-8,-6,8,-6,5,12,-7,-3,4,-10,-6,15,-7,2,-16,18,10,9,8,-18,-7,10,-10,2,-7,4,-12,-6,-15,7,17,4,-2,0,12]];

E[13,1] = [x^2+3*x+3, [1,x,-2*x-4,2*x+3,0,0,3*x+2,-3*x-3,-2*x-6,6*x+12,-3*x-6,-4*x-6,-5*x,3*x,8*x+8,4*x+6,-3,4*x+12,x+1,-2*x,2*x+6,-2*x-3,4,-16*x-24,4*x,4*x+12,3*x+6,-10,-6*x-12,16*x+24,-15*x-15,2*x+4,18,-9*x-27,-4*x-4,-11*x-33,-20*x-30,-13,12*x+36,8*x,6*x+6,0,11,18*x+18,3*x,-8*x,-2*x-2,-10*x-20]];

E[14,1] = [x, [1,-1,-2,0,1,0,-4,6,2,0,-6,-4,2,6,8,-12,6,-6,8,-4,0,2,8,-6,-6,-10,0,-4,12,2,6,-16,18,18,14,-18,8,-4,-16,-12,-12,-12,20,24,14,-18,20,-4]];

E[15,1] = [x, [1,-1,-1,1,0,-4,-2,2,4,0,-2,0,-10,10,4,8,-10,-4,-2,12,-8,10,0,12,-6,2,6,-16,-12,14,2,-8,-12,-6,-4,22,-8,14,-4,0,-18,20,-10,16,2,6,-8,20]];

E[16,1] = [x^2+2*x+2, [1,x,-x-2,x,2*x+2,-x,-x-2,-2,3*x+6,-6*x-6,3*x+6,-8,-3*x,0,-5*x,8,5*x,3*x,-9*x-18,-5*x-10,10*x+10,4*x+4,0,-x-2,-4*x-4,-2,-11*x,-6*x-6,7*x,3*x+6,-6,8,11*x+22,-8*x-8,3*x,-7*x,10*x+10,15*x+30,-x-2,2*x+2,-x-2,-17*x-34,9*x,-8,14,17*x,-14*x-14,-9*x-18]];

E[17,1] = [x^4+4*x^3+8*x^2+4*x+1, [3,3*x,-x^3-5*x^2-13*x-11,-4*x^3-14*x^2-25*x-5,x^3+5*x^2+13*x+5,x^3+5*x^2+7*x-1,-3*x^3-12*x^2-21*x-6,8*x^3+25*x^2+44*x+4,-8*x^3-28*x^2-50*x-4,-5*x^3-13*x^2-23*x+5,9*x^3+33*x^2+60*x+12,-3*x^3-15*x^2-21*x-15,-15*x-15,-14*x^3-55*x^2-107*x-40,-6*x^3-24*x^2-48*x-24,22*x^3+80*x^2+154*x+44,2*x^3+7*x^2+14*x+1,-6*x^3-30*x^2-60*x-30,15*x^3+60*x^2+120*x+45,-2*x^3-4*x^2-2*x+20,5*x^3+25*x^2+65*x+55,7*x^3+35*x^2+70*x+14,5*x^3+13*x^2+23*x-5,4*x^3+14*x^2+10*x+2,-19*x^3-68*x^2-133*x-38,-10*x^3-44*x^2-85*x-17,x^3+2*x^2+x-40,6*x^3+12*x^2+6*x-12,13*x^3+47*x^2+85*x+17,13*x^3+44*x^2+64*x+23,-17*x^3-64*x^2-98*x+17,-22*x^3-86*x^2-172*x-86,-5*x^3-7*x^2-5*x-1,-9*x^3-18*x^2-9*x+24,-11*x^3-55*x^2-89*x-67,36*x^3+144*x^2+252*x+72,24*x^3+84*x^2+138*x+12,-4*x^3-20*x^2-28*x-8,-13*x^3-47*x^2-79*x-29,5*x^3+25*x^2+53*x+43,-x^3-5*x^2-16*x-14,6*x^3+30*x^2+60*x+30,13*x^3+50*x^2+76*x-13,-40*x^3-140*x^2-280*x-80,-6*x^3-21*x^2-33*x+6,-28*x^3-107*x^2-199*x-74,7*x^3+17*x^2+25*x+5,19*x^3+83*x^2+187*x+71]];

E[18,1] = [x^2+x+1, [1,x,-x-2,0,2*x,-3*x,-2*x-2,-3,-1,6*x+6,6*x,4*x+4,-4,-9*x-9,-x,-6*x,12,-3*x-3,8*x,-5*x-5,-12,11,-4*x,12*x,6,5*x,0,-14*x-14,3,-16,-6*x-6,2,0,-3*x,19*x+19,6*x+6,-10*x,4*x+4,-4,12*x+12,-6*x,12,14,-18*x,-5*x-5,-12,-10,-20*x-20]];

E[19,1] = [x^6+6*x^5+18*x^4+30*x^3+36*x^2+27*x+9, [9,9*x,-x^5-3*x^4-3*x^3+3*x^2-9*x-9,-6*x^5-33*x^4-90*x^3-126*x^2-135*x-81,6*x^5+33*x^4+90*x^3+126*x^2+135*x+72,12*x^5+60*x^4+153*x^3+189*x^2+198*x+81,-19*x^5-99*x^4-267*x^3-375*x^2-414*x-207,3*x^5+12*x^4+27*x^3+27*x^2+27*x,12*x^5+63*x^4+174*x^3+243*x^2+270*x+108,-6*x^5-30*x^4-78*x^3-108*x^2-108*x-36,9*x^5+54*x^4+147*x^3+207*x^2+180*x+99,-9*x^5-54*x^4-153*x^3-216*x^2-198*x-90,-3*x^4-21*x^3-54*x^2-54*x-27,15*x^5+72*x^4+189*x^3+243*x^2+279*x+135,13*x^5+72*x^4+198*x^3+303*x^2+324*x+180,3*x^5+18*x^4+48*x^3+54*x^2+18*x-9,15*x^5+69*x^4+165*x^3+189*x^2+216*x+72,-18*x^5-81*x^4-189*x^3-189*x^2-180*x,-10*x^5-39*x^4-75*x^3-51*x^2-81*x-27,-22*x^5-132*x^4-378*x^3-564*x^2-558*x-360,-30*x^5-174*x^4-504*x^3-774*x^2-846*x-486,28*x^5+144*x^4+372*x^3+492*x^2+540*x+252,31*x^5+171*x^4+462*x^3+645*x^2+648*x+279,-18*x^5-99*x^4-270*x^3-378*x^2-324*x-135,-12*x^5-60*x^4-141*x^3-144*x^2-126*x-63,4*x^5+21*x^4+51*x^3+51*x^2,-33*x^5-168*x^4-429*x^3-540*x^2-558*x-279,3*x^3-18*x^2-36*x-18,18*x^5+99*x^4+270*x^3+378*x^2+351*x+162,16*x^5+90*x^4+252*x^3+357*x^2+387*x+234,21*x^4+108*x^3+261*x^2+261*x+162,5*x^5+15*x^4+18*x^3-33*x^2-72*x-36,-6*x^5-18*x^4-36*x^3-36*x^2-45*x,-45*x^5-219*x^4-555*x^3-675*x^2-756*x-252,59*x^5+306*x^4+804*x^3+1074*x^2+1152*x+576,9*x^5+36*x^4+63*x^3+45*x^2+117*x+81,-9*x^4-45*x^3-108*x^2-108*x-171,-26*x^5-147*x^4-414*x^3-642*x^2-693*x-387,-12*x^5-60*x^4-141*x^3-153*x^2-126*x-45,54*x^5+267*x^4+687*x^3+855*x^2+945*x+315,-6*x^5-48*x^4-126*x^3-126*x^2-36*x,-63*x^5-315*x^4-828*x^3-1107*x^2-1269*x-540,14*x^5+84*x^4+258*x^3+426*x^2+504*x+378,12*x^4+27*x^3+45*x^2+45*x+189,-47*x^5-237*x^4-627*x^3-831*x^2-909*x-423,84*x^5+453*x^4+1224*x^3+1710*x^2+1773*x+918,-16*x^5-96*x^4-252*x^3-384*x^2-396*x-252,19*x^5+87*x^4+204*x^3+204*x^2+225*x]];
E[19,2] = [x, [1,0,-2,3,-1,3,-4,-3,1,0,6,-4,2,-6,-1,-3,12,-6,-1,-4,6,-7,8,12,12,8,6,14,-18,-16,6,2,-15,-3,-13,21,-10,14,20,-18,-18,-18,2,3,-4,18,11,14]];

E[20,1] = [x^2+2*x+2, [1,x,0,-x-3,0,0,-x-2,-3*x,0,0,-4*x-4,0,7*x,-8,0,0,9*x+18,0,12,0,0,-11*x-22,0,0,16*x+16,-13*x,2,0,0,6*x+6,-x-2,0,0,7*x,0,-14*x-14,0,17*x,0,0,-11*x-22,0,-18,0,19*x+38,-13*x,0,0]];
E[20,2] = [x, [1,0,-2,-1,2,0,2,-6,-4,6,6,-4,2,6,-10,-6,-6,12,2,2,-12,2,8,6,-6,2,6,14,-6,2,-6,2,0,18,-4,-6,20,-22,-10,18,-6,-12,-10,-12,26,18,8,-16]];

E[21,1] = [x^2+2*x+4, [2,2*x,-x-2,-2*x,x-4,2*x+4,2,0,x,0,8,-9*x-18,3*x,-20,10,-6*x,-12*x-24,12*x+24,10*x,5*x+10,-12,3*x+6,-x,12,16*x,-12,-2*x-4,-7*x,-8*x,-9*x-18,20,-30,-14*x,12*x+24,-6,-12*x,16*x+32,14*x+28,4*x,-28,8*x,-2*x-4,26,10*x,-11*x-22,32,0,8]];
E[21,2] = [x^2+3*x+3, [1,0,x,0,3*x+5,0,-2*x-3,0,-3*x-9,0,0,-5*x,x+1,0,-5,0,0,0,4*x+12,-11*x-22,0,9*x,-13*x-13,0,0,-16*x-24,0,11*x+33,0,17*x+34,0,-19,0,0,26*x+39,0,-4*x-8,-12*x,8*x+8,0,0,0,-30*x-45,0,-25*x-50,0,2*x,16]];

E[22,1] = [x^4+x^3+x^2+x+1, [1,x,x^3-x-1,-2*x^3-2,-2*x^2,3*x^3+2*x^2+4*x+2,-2*x^2-2*x-2,-x^2-x,-4*x^3-3*x-3,2*x^3+2*x^2,-4*x^3-2*x^2-4*x,2*x,6*x^3+6*x^2+6*x,5*x^3+x+1,-9*x^3-9*x^2-3,-4*x^3-4*x-4,-4*x^2-8*x-4,x^3-7*x^2+x,-4*x^2-4*x,5*x^3+5*x^2+8,4*x^3+2*x^2+2*x+4,x^3+12*x^2+x,-12*x^2-6*x-12,-5*x^3+2*x^2+2*x-5,-5*x^3-5*x^2-5,3*x^2+12*x+3,10*x^2+12*x+10,-6*x^3+6*x^2-6*x,-3*x^3+3*x+3,8*x^3+8*x^2+14,-3*x-3,6*x^3-2*x^2-2*x+6,11*x^3+11*x^2,-13*x^3-8*x^2-8*x-13,0,-10*x^2-10*x,-8*x^3,6*x^3+6*x+6,5*x^2+9*x+5,-2*x^2-18*x-2,12*x^3+16*x+16,-8*x^3-x-1,-2*x^3-12*x^2-12*x-2,2*x^3+8*x^2+2*x,-10*x^3+2*x^2+2*x-10,-8*x^3-8*x^2-16,-8*x^3-8*x^2-14,5*x^2+2*x+5]];

E[23,1] = [x^2+x-1, [1,x,-2*x-1,2*x,2*x+2,-2*x-4,3,-2*x+2,-2,1,-3,6*x+3,-2*x,-4*x-1,0,-2*x-1,4*x-2,4*x+4,-8*x-2,2*x-4,2*x+11,-4*x+9,-8*x-6,2*x-10,-4*x-8,6*x+14,4*x+2,-10*x+2,12*x+6,0,-2*x+10,6*x-11,6*x+15,-16*x-12,-6*x-7,16*x+14,2*x+3,-12*x-4,2*x-7,-4*x+4,8*x+18,6*x-3,14*x+8,-10*x-20,8*x+5,-4*x+1,6*x-16,-12*x-16]];
E[23,2] = [x^10+7*x^9+27*x^8+68*x^7+124*x^6+142*x^5+103*x^4+28*x^3+20*x^2+8*x+1, [3154427,3154427*x,-674348*x^9-4367134*x^8-15745090*x^7-36404728*x^6-60071855*x^5-53437817*x^4-22104531*x^3+12853475*x^2-9694846*x-3922690,-2983708*x^9-19973641*x^8-74585099*x^7-180768311*x^6-316676405*x^5-330852471*x^4-212786287*x^3-24560384*x^2-61224462*x-14865365,4809923*x^9+32315447*x^8+120939646*x^7+294275132*x^6+518377516*x^5+549450073*x^4+364055379*x^3+61679536*x^2+101502400*x+19291619,2570529*x^9+17780855*x^8+68175961*x^7+170447789*x^6+308268685*x^5+345995346*x^4+243090648*x^3+50439470*x^2+43205540*x+19329995,7481313*x^9+50943491*x^8+191838794*x^7+469188989*x^6+827586363*x^5+879550805*x^4+560592238*x^3+61062476*x^2+114963615*x+31334044,-8914113*x^9-61342556*x^8-233204434*x^7-577157893*x^6-1031929852*x^5-1130835915*x^4-762058186*x^3-134467509*x^2-145697013*x-48639148,5001126*x^9+33417880*x^8+124199274*x^7+299823098*x^6+523545932*x^5+544070838*x^4+346747246*x^3+42222500*x^2+93636714*x+10389034,2078763*x^9+13770422*x^8+51401527*x^7+124551831*x^6+218806084*x^5+227879055*x^4+148493566*x^3+8844719*x^2+29472591*x-7603685,7474069*x^9+50952075*x^8+192393341*x^7+472957090*x^6+841035922*x^5+911672451*x^4+615634432*x^3+123691556*x^2+155502401*x+50390384,-7761211*x^9-52017462*x^8-193676428*x^7-467797104*x^6-815558416*x^5-843005952*x^4-523818517*x^3-44210727*x^2-139310864*x-23269686,585643*x^9+4413026*x^8+18208584*x^7+50286559*x^6+101735771*x^5+141356049*x^4+136261494*x^3+80781109*x^2+23035823*x+2417527,-8928657*x^9-61227780*x^8-232571794*x^7-574908581*x^6-1026995558*x^5-1121631256*x^4-752587498*x^3-116292721*x^2-130007317*x-30664330,-2260876*x^9-14944590*x^8-55056555*x^7-131505617*x^6-226269827*x^5-226281215*x^4-133950186*x^3-2324139*x^2-34567392*x-11288733,527594*x^9+4650769*x^8+20129802*x^7+56290190*x^6+111351917*x^5+149497771*x^4+118197998*x^3+48216500*x^2+9444703*x+11496836,15239087*x^9+102642790*x^8+383874094*x^7+931888953*x^6+1632530754*x^5+1704419715*x^4+1065109208*x^3+73735631*x^2+220403250*x+44925946,-22689173*x^9-154389683*x^8-582099555*x^7-1426811960*x^6-2526865142*x^5-2711410280*x^4-1781769742*x^3-266644626*x^2-393831103*x-102668835,6057431*x^9+40772487*x^8+152219419*x^7+368811376*x^6+644962542*x^5+671965952*x^4+423611822*x^3+41477331*x^2+106566932*x+17662845,-5630183*x^9-37866552*x^8-141133649*x^7-340129962*x^6-588061439*x^5-593503315*x^4-332850740*x^3+42852238*x^2-41275268*x+7078922,3657991*x^9+24454070*x^8+90791085*x^7+218133931*x^6+376488791*x^5+377805466*x^4+211613288*x^3-26740813*x^2+23187193*x-4473591,-5325708*x^9-35468314*x^8-131286987*x^7-315295034*x^6-546580906*x^5-557835345*x^4-341643390*x^3-30794970*x^2-92929820*x-10360379,6450071*x^9+44066053*x^8+165372755*x^7+401335569*x^6+697947367*x^5+716041039*x^4+401611956*x^3-29559886*x^2+53647299*x+19339422,6787401*x^9+45977712*x^8+172770035*x^7+421647990*x^6+743431827*x^5+790183233*x^4+514269485*x^3+69221060*x^2+119426539*x+26027000,-24039692*x^9-166255316*x^8-635070894*x^7-1581038791*x^6-2847870718*x^5-3173993422*x^4-2208028566*x^3-477598749*x^2-435799032*x-117275505,24726621*x^9+167620329*x^8+630665477*x^7+1542640596*x^6+2726095028*x^5+2909456469*x^4+1902521097*x^3+263952537*x^2+429867448*x+102897118,21579740*x^9+148158797*x^8+563958933*x^7+1398622093*x^6+2512501500*x^5+2782888702*x^4+1943497477*x^3+425963593*x^2+427414701*x+86317454,-11299908*x^9-79363219*x^8-305730649*x^7-768430318*x^6-1396134327*x^5-1589939985*x^4-1134406551*x^3-305712500*x^2-219942360*x-88142950,-27475064*x^9-184430928*x^8-688739255*x^7-1669818193*x^6-2924754980*x^5-3054482593*x^4-1939581559*x^3-195015919*x^2-479702766*x-79359453,22273737*x^9+152976421*x^8+580483796*x^7+1434472667*x^6+2560598107*x^5+2796780138*x^4+1874185842*x^3+330015956*x^2+348031798*x+116220016,-800454*x^9-5374266*x^8-19993645*x^7-48147552*x^6-83167758*x^5-83805478*x^4-46936076*x^3+5985478*x^2-8434659*x+994539,-7793923*x^9-54934559*x^8-212429350*x^7-537309495*x^6-984283486*x^5-1142279602*x^4-843257863*x^3-268325139*x^2-173814992*x-64356567,30642020*x^9+206754859*x^8+774946212*x^7+1886622153*x^6+3318698230*x^5+3503523695*x^4+2262086059*x^3+290894527*x^2+564685432*x+109953797,1726290*x^9+13017596*x^8+53397478*x^7+143782084*x^6+280834436*x^5+364465006*x^4+309054996*x^3+123235080*x^2+22383228*x+5372525,2865690*x^9+20641260*x^8+82821061*x^7+219702955*x^6+425061026*x^5+543821419*x^4+468647778*x^3+185971776*x^2+33167255*x+9068362,3004549*x^9+21500902*x^8+83704006*x^7+213888712*x^6+396861312*x^5+473704526*x^4+363588906*x^3+142946155*x^2+81925100*x+26972969,-16552731*x^9-112538581*x^8-422666889*x^7-1029712243*x^6-1804881681*x^5-1887372518*x^4-1147415677*x^3-42245193*x^2-202940962*x-60659176,-11146424*x^9-75605109*x^8-285526651*x^7-703392404*x^6-1258702998*x^5-1383882053*x^4-982861406*x^3-246497841*x^2-260606531*x-28554835,-6303051*x^9-41658899*x^8-153299389*x^7-366141247*x^6-629122380*x^5-624007914*x^4-347850756*x^3+41825002*x^2-29857602*x+7229950,3752940*x^9+26142594*x^8+100444661*x^7+251178891*x^6+452781198*x^5+504258121*x^4+338477915*x^3+47099017*x^2+32794582*x+12223296,8428986*x^9+58378054*x^8+222106517*x^7+550025822*x^6+981926431*x^5+1073592932*x^4+702708835*x^3+106967093*x^2+115703172*x+56932310,23012467*x^9+155530674*x^8+584537680*x^7+1427935944*x^6+2521027641*x^5+2683203904*x^4+1755819215*x^3+233826038*x^2+415945729*x+100015696,-15878156*x^9-105412681*x^8-389556298*x^7-933234998*x^6-1611611865*x^5-1625758870*x^4-964187581*x^3-15557262*x^2-248816663*x-81342819,40896911*x^9+274860622*x^8+1028377371*x^7+2500384308*x^6+4396506917*x^5+4637153647*x^4+3020092264*x^3+424865550*x^2+779588631*x+150637345,-32088959*x^9-217745063*x^8-820006838*x^7-2008520067*x^6-3557983581*x^5-3820213978*x^4-2536891090*x^3-412787956*x^2-579322775*x-123280726,6104271*x^9+41145469*x^8+153731988*x^7+371564999*x^6+645586054*x^5+659976412*x^4+382720960*x^3-22622111*x^2+53323426*x+18708339,4655831*x^9+32771508*x^8+126205724*x^7+316940340*x^6+574627454*x^5+650249124*x^4+449498584*x^3+98912415*x^2+60873298*x+8739522,9692707*x^9+63811251*x^8+233494223*x^7+551973607*x^6+938056344*x^5+909416695*x^4+492243145*x^3-52316640*x^2+137105206*x+15523517]];

E[24,1] = [x^2+2*x+2, [1,x,x+1,-2*x-2,-2,0,4*x+4,-2,-4*x-4,4,6*x+6,2,-8*x-8,2,4*x+4,-12,-6*x-6,-4*x-4,0,12*x+12,12,-6,10,-16*x-16,-10,-2,10*x+10,-6,12*x+12,-4*x-4,-6,-2,20*x+20,18,-4*x-4,6*x+6,-18,-8*x-8,4*x+4,8,-6*x-6,-4*x-4,20*x+20,-8,-6,2*x+2,10,-20*x-20]];
E[24,2] = [x^2+2, [1,x,-x-1,0,0,2*x,0,-4*x,2,0,0,0,0,8*x,-10,0,0,-10*x,0,14,0,2,0,2*x,-4*x,-10,0,0,14*x,0,8*x,0,-10*x,-16*x,-22,0,0,0,2,0,0,14*x,0,0,-22,0,0,14]];
E[24,3] = [x, [1,0,-1,-2,0,4,-2,2,-4,-8,6,8,6,-6,4,0,-2,4,-2,-4,8,10,-8,-4,-6,2,-18,16,-12,-2,18,-8,-4,-6,-12,14,-16,-2,12,24,6,12,6,0,2,-18,16,-20]];

E[25,1] = [x^4+2*x^3+4*x^2+3*x+1, [1,x,-x^3-x^2-3*x-1,-x^3-2*x^2-5*x-4,-x^2-x-2,-2*x^3-2*x^2-2*x,3*x^3+6*x^2+12*x+9,-2*x^2-4*x-2,-7*x^3-11*x^2-22*x-11,7*x^3+7*x^2+16*x,x^3+3*x+1,-3*x^3-6*x^2-12*x-6,-3*x^3-6*x^2-11*x-8,4*x^3+8*x^2+14*x+10,3*x^2+3*x+3,2*x^3+3*x^2+6*x+2,-7*x^3-11*x^2-21*x-7,6*x^3+12*x^2+15*x+9,-x^3-x^2-8*x,10*x^3+18*x^2+36*x+18,4*x^3+3*x^2+12*x+4,-9*x^3-9*x^2-18*x,-5*x^3-10*x^2-15*x-5,-x^3-4*x^2-8*x-4,4*x^3+4*x^2+16*x,-4*x^3-7*x^2-12*x-4,-4*x^2-4*x-9,15*x^3+24*x^2+45*x+15,12*x^2+12*x+15,-10*x^3-20*x^2-30*x-20,-12*x^3-24*x^2-33*x-21,-6*x^3-6*x^2-28*x,-22*x^3-33*x^2-66*x-33,-x^3-2*x^2-11*x-10,5*x^3+5*x^2+10*x,8*x^2+8*x+17,-9*x^2-9*x-9,-10*x^2-10*x-13,-11*x^3-22*x^2-33*x-22,-9*x^3-9*x^2-18*x-9,-7*x^3-7*x^2-30*x,11*x^3+15*x^2+33*x+11,16*x^3+26*x^2+52*x+26,18*x^3+36*x^2+64*x+46,-6*x^2-6*x-8,12*x^3+18*x^2+36*x+12,9*x^2+9*x+6,7*x^3+7*x^2+24*x]];
E[25,2] = [x^8+5*x^7+11*x^6+10*x^5+x^4+10*x^3+26*x^2-10*x+1, [1355,1355*x,941*x^7+4820*x^6+11150*x^5+11522*x^4+3582*x^3+10041*x^2+24432*x-5718,-1734*x^7-8911*x^6-20468*x^5-20477*x^4-4462*x^3-16763*x^2-46766*x+8771,2431*x^7+12639*x^6+29147*x^5+29598*x^4+7398*x^3+25507*x^2+67849*x-12549,-1456*x^7-7538*x^6-17144*x^5-16904*x^4-3144*x^3-14048*x^2-39976*x+8200,-129*x^7-564*x^6-1172*x^5-844*x^4+256*x^3-1060*x^2-1825*x+728,-3066*x^7-16014*x^6-37227*x^5-38973*x^4-11978*x^3-33897*x^2-86244*x+11889,-725*x^7-3529*x^6-7612*x^5-6611*x^4-891*x^3-9306*x^2-20872*x+5791,260*x^7+1288*x^6+2984*x^5+3367*x^4+1297*x^3+2857*x^2+5319*x+123,2325*x^7+12289*x^6+29102*x^5+31396*x^4+11791*x^3+28451*x^2+71532*x-6806,2631*x^7+13192*x^6+29191*x^5+27310*x^4+4560*x^3+29289*x^2+74588*x-20501,-1873*x^7-9462*x^6-21046*x^5-19689*x^4-3224*x^3-20966*x^2-51787*x+20032,-645*x^7-3091*x^6-6673*x^5-5304*x^4+196*x^3-6384*x^2-20778*x+3369,-2610*x^7-13680*x^6-31685*x^5-32580*x^4-7110*x^3-22770*x^2-68310*x+12555,2703*x^7+13532*x^6+30551*x^5+29489*x^4+5999*x^3+27366*x^2+70987*x-16502,4939*x^7+25747*x^6+59086*x^5+59746*x^4+14931*x^3+51882*x^2+136134*x-31650,-4113*x^7-21184*x^6-48422*x^5-48697*x^4-11167*x^3-43704*x^2-117833*x+19285,-600*x^7-3014*x^6-6907*x^5-8041*x^4-6391*x^3-11346*x^2-16152*x+3531,4088*x^7+21352*x^6+49636*x^5+51964*x^4+16874*x^3+45196*x^2+114992*x-15852,2647*x^7+13930*x^6+32685*x^5+34509*x^4+10089*x^3+23532*x^2+74119*x-7056,1874*x^7+10084*x^6+24347*x^5+27439*x^4+11039*x^3+21470*x^2+56280*x+947,-3238*x^7-17308*x^6-41319*x^5-44073*x^4-13353*x^3-31155*x^2-96175*x+9156,-8675*x^7-45226*x^6-104753*x^5-108344*x^4-31304*x^3-92839*x^2-243558*x+33539,5216*x^7+27311*x^6+62903*x^5+64241*x^4+15751*x^3+55990*x^2+149000*x-30707,-4308*x^7-21337*x^6-46866*x^5-41534*x^4-3129*x^3-42256*x^2-114302*x+26442,294*x^7+756*x^6-1312*x^5-9553*x^4-16188*x^3-5752*x^2+3611*x-16936,-1028*x^7-5276*x^6-12703*x^5-14505*x^4-8155*x^3-12697*x^2-21289*x+5188,-11811*x^7-61149*x^6-140532*x^5-142668*x^4-36408*x^3-124347*x^2-329139*x+60894,1503*x^7+7775*x^6+18905*x^5+21266*x^4+9206*x^3+13888*x^2+39496*x-6459,-2803*x^7-14215*x^6-31115*x^5-27261*x^4+1924*x^3-18688*x^2-70156*x+26169,1104*x^7+5936*x^6+13988*x^5+14622*x^4+5082*x^3+14958*x^2+37286*x+614,-938*x^7-4309*x^6-9377*x^5-8597*x^4-1817*x^3-8529*x^2-17728*x+4970,1646*x^7+8104*x^6+17782*x^5+17603*x^4+8063*x^3+26882*x^2+47584*x-19169,3984*x^7+20078*x^6+45624*x^5+45685*x^4+14675*x^3+44541*x^2+104897*x-21809,349*x^7+1091*x^6+28*x^5-6063*x^4-10478*x^3-1067*x^2+1406*x-25681,278*x^7+1102*x^6+2511*x^5+3844*x^4+5654*x^3+8406*x^2-3508*x-4907,-3274*x^7-16936*x^6-39018*x^5-39607*x^4-9872*x^3-32768*x^2-89361*x+16506,4385*x^7+22077*x^6+48471*x^5+41813*x^4-5137*x^3+27948*x^2+106066*x-39498,12597*x^7+65493*x^6+151404*x^5+153741*x^4+36241*x^3+125644*x^2+356878*x-49013,1798*x^7+9695*x^6+23875*x^5+28406*x^4+12486*x^3+17583*x^2+45161*x+836,3671*x^7+19428*x^6+45734*x^5+47824*x^4+11374*x^3+34213*x^2+99116*x-9440,-9788*x^7-49714*x^6-112407*x^5-108977*x^4-20272*x^3-94989*x^2-252718*x+69315,12714*x^7+65910*x^6+152530*x^5+157248*x^4+43288*x^3+133664*x^2+356548*x-58402,5252*x^7+26668*x^6+61144*x^5+61401*x^4+16606*x^3+52454*x^2+141373*x-26133,4732*x^7+24363*x^6+54634*x^5+51686*x^4+5611*x^3+46469*x^2+136968*x-31528,-335*x^7-1055*x^6-155*x^5+5350*x^4+9320*x^3+535*x^2-1105*x+7195,-11860*x^7-61004*x^6-139952*x^5-141121*x^4-36691*x^3-126821*x^2-327347*x+67601]];

E[26,1] = [x, [1,-1,1,-3,-1,6,1,-3,2,0,6,-4,-7,0,-1,3,0,-6,8,14,-3,2,8,12,-6,-10,-12,-4,12,-7,-6,20,-21,0,-13,-6,17,14,-16,0,0,3,20,-18,-4,3,2,-13]];
E[26,2] = [x, [1,1,-3,-1,1,-2,-1,-3,6,-4,2,4,3,0,-5,13,12,-10,-8,-2,-5,-10,-4,0,6,14,4,-8,-4,19,2,16,-1,12,7,-18,-9,-10,-4,0,20,-9,0,10,-16,9,-10,23]];
E[26,3] = [x^2+x+1, [1,x,0,-1,-4*x-4,4*x,x+4,-3*x-3,0,-4*x,-x,4,3*x,-9*x,8*x+8,-8,-9,4*x+4,-7*x-7,4*x,8*x+8,11,-4,0,-6*x,-2*x-2,7*x,-8,-4*x,-2,x+1,-8*x,20,9*x+9,-16*x-16,-15*x-15,12,11,-8*x-8,12*x,-14*x-14,-24*x,-21,20*x+20,11*x,6*x,4*x+4,20*x]];
E[26,4] = [x^2+1, [1,x,-1,-3*x,3*x,0,3*x+2,3,-6*x,-6,0,0,3*x,0,-1,3*x,-6,-6*x,-8,-12*x,15*x,6*x,10,6*x,-6*x,-12*x,12,14,-12,9*x,-6,-2,-3,18*x,5,-6*x,-15*x,-22,6*x,-12*x,-6,15,2,12,6*x,3*x,-20,-23]];

E[27,1] = [x^12+6*x^11+21*x^10+48*x^9+72*x^8+54*x^7+6*x^6-9*x^5-18*x^4-45*x^3+27*x^2+27*x+9, [119956131,119956131*x,-9503032*x^11-52402245*x^10-170767287*x^9-358037343*x^8-465378816*x^7-207228603*x^6+116502405*x^5-3129444*x^4+101187477*x^3+373777938*x^2-558027720*x-175223961,5951360*x^11+32035803*x^10+104876859*x^9+223317168*x^8+307362261*x^7+199675302*x^6+90562434*x^5+208871316*x^4+124431687*x^3-54346212*x^2+284815161*x-156580812,-10489913*x^11-59366788*x^10-205375314*x^9-462425703*x^8-701152695*x^7-562433883*x^6-236520267*x^5-120925749*x^4+146157633*x^3+505822383*x^2-299302731*x-145243377,16209702*x^11+101669724*x^10+361879128*x^9+840964809*x^8+1278828561*x^7+970327935*x^6+22553379*x^5-323730117*x^4-293745321*x^3-764393670*x^2+363087360*x+730061937,1274369*x^11+11252011*x^10+52030617*x^9+155446014*x^8+322200345*x^7+434664225*x^6+311140959*x^5-14466831*x^4-193750335*x^3-110748141*x^2-31308237*x-4231728,-17951049*x^11-102011526*x^10-348344556*x^9-768927789*x^8-1099885716*x^7-699089463*x^6+78172344*x^5+292553586*x^4+444415347*x^3+571062015*x^2-941507226*x-139320756,-4110270*x^11-22019913*x^10-71598294*x^9-148142796*x^8-179969049*x^7-44168361*x^6+157042494*x^5+192938724*x^4+257390937*x^3+247756221*x^2-55024461*x-55728225,7549781*x^11+46941879*x^10+164071659*x^9+372305259*x^8+539510775*x^7+326068494*x^6-177845403*x^5-392223033*x^4-420418773*x^3-724981032*x^2+74111976*x+30774159,32277840*x^11+167805453*x^10+536830452*x^9+1082043783*x^8+1332609840*x^7+414716814*x^6-495444420*x^5-50219883*x^4-417850920*x^3-1007349210*x^2+1701673803*x-125297145,-25781587*x^11-147086567*x^10-494133522*x^9-1071257373*x^8-1475251368*x^7-809548269*x^6+290633748*x^5+324669630*x^4+515750382*x^3+1155589650*x^2-1013094090*x-294230754,20307324*x^11+107509530*x^10+336937839*x^9+656864025*x^8+709651215*x^7-98356701*x^6-963897525*x^5-686992113*x^4-667954971*x^3-761584851*x^2+1356165990*x+204664644,-28452577*x^11-170960568*x^10-598592559*x^9-1371120567*x^8-2083035024*x^7-1659113130*x^6-485469102*x^5-282740175*x^4+86523795*x^3+1482404760*x^2-141932592*x-436981617,26138488*x^11+159900368*x^10+558224112*x^9+1274028804*x^8+1891553697*x^7+1380601215*x^6+48501147*x^5-185171547*x^4-355890843*x^3-1295659989*x^2+517273875*x+1150531137,-43511745*x^11-240073320*x^10-779262450*x^9-1595747685*x^8-1933397256*x^7-380041173*x^6+1617085683*x^5+1179812925*x^4+787559589*x^3+1445934960*x^2-2337473718*x-950014980,177189*x^11-1224612*x^10-9644805*x^9-53889453*x^8-168037461*x^7-376704261*x^6-543808710*x^5-392237397*x^4+184180014*x^3+653410206*x^2+354567861*x-75008457,-5974666*x^11-29028639*x^10-100221252*x^9-223179699*x^8-380263416*x^7-423195474*x^6-540453378*x^5-517560282*x^4-232878159*x^3+157474566*x^2-438095151*x+272159640,60285910*x^11+352457957*x^10+1221766047*x^9+2762206410*x^8+4119271326*x^7+3098877861*x^6+669425745*x^5+152829762*x^4-533131254*x^3-2413494216*x^2+1637699301*x+761226867,-52168780*x^11-314585765*x^10-1098879015*x^9-2504081544*x^8-3711940683*x^7-2644923285*x^6+71207106*x^5+912851535*x^4+1209305286*x^3+2248519230*x^2-1977639444*x-1735559829,-33879948*x^11-188803377*x^10-622545567*x^9-1326176559*x^8-1763650899*x^7-890469081*x^6+389768067*x^5+110230362*x^4+485896932*x^3+1298288223*x^2-1639272600*x-216836244,-738759*x^11-3257115*x^10-6291813*x^9-2043636*x^8+20596599*x^7+42212001*x^6-44510076*x^5-363556674*x^4-421477470*x^3-452093229*x^2+7903062*x+54440118,-8405315*x^11-39450472*x^10-116876754*x^9-206030685*x^8-185759847*x^7+106777545*x^6+225187608*x^5-76024470*x^4-26436357*x^3-25672122*x^2-153569772*x-6651045,-17638908*x^11-98050152*x^10-315119655*x^9-642448917*x^8-781970517*x^7-197062236*x^6+459848835*x^5+45989685*x^4-82507302*x^3+892065366*x^2-737562816*x+160910793,28868838*x^11+161960904*x^10+535206474*x^9+1127495430*x^8+1439117307*x^7+501961302*x^6-916023798*x^5-888591114*x^4-827212941*x^3-1406685906*x^2+561282183*x+439785315,-34444247*x^11-222108502*x^10-812175216*x^9-1960543296*x^8-3185357580*x^7-2961312939*x^6-1216613202*x^5-416604288*x^4-229542777*x^3+920351673*x^2-894837789*x-1430010144,92655783*x^11+535103679*x^10+1797225375*x^9+3905397645*x^8+5345007252*x^7+2885802084*x^6-1292213988*x^5-1102302549*x^4-1365869313*x^3-3685936680*x^2+3998971251*x+1711156671,5517092*x^11+26715772*x^10+82770489*x^9+194523108*x^8+331097826*x^7+475508670*x^6+705785388*x^5+794612460*x^4-208746711*x^3-238970943*x^2+633546378*x-283026366,-23917164*x^11-157775589*x^10-585858114*x^9-1402307424*x^8-2202306480*x^7-1732156299*x^6+148443201*x^5+1098734922*x^4+329694651*x^3+231513633*x^2+129450852*x-1308122001,13041378*x^11+107068686*x^10+429844737*x^9+1143400572*x^8+2048745726*x^7+2238240006*x^6+979414614*x^5-165370986*x^4-467471160*x^3-1574600580*x^2-907943310*x+1504599498,23419244*x^11+111076572*x^10+340267314*x^9+616002414*x^8+635363094*x^7-141605616*x^6-463760013*x^5+181532295*x^4+258695046*x^3-456610707*x^2+1584181278*x-896966361,56983086*x^11+332345988*x^10+1133681634*x^9+2508913731*x^8+3593337363*x^7+2396818803*x^6+198871938*x^5+586934199*x^4+739879560*x^3-1256978673*x^2+2302117254*x+1267636167,97270115*x^11+528566652*x^10+1732147797*x^9+3639609684*x^8+482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E[27,2] = [x, [1,0,0,0,-1,0,5,0,-7,0,0,-4,11,0,8,0,0,0,-1,5,0,-7,17,0,0,-19,0,-13,0,2,0,20,0,0,23,0,-19,14,-25,0,0,0,-7,0,23,0,11,-13]];

E[28,1] = [x^2+x+2, [1,x,0,0,-2*x-1,4*x+2,0,0,0,-4*x-2,-2,0,6,0,4*x+2,0,-10,0,0,-12*x-6,-4*x-2,0,12*x+6,0,0,0,0,0,4*x+2,-18,2,12*x+6,0,10,0,22,-4*x-2,0,-12*x-6,0,0,20*x+10,0,-20*x-10,18,-26,0,20*x+10]];
E[28,2] = [x^4+2*x^3+2*x^2+4*x+4, [2,2*x,2*x^3+x^2+4,-x^3-x^2-2*x-6,-3*x^3-2*x^2-6,x^2,4*x^3+4*x^2+8*x+12,x^3+x^2+2*x,3*x^3-3*x^2+6,x^3+x^2+2,8,-2*x^3-x^2-4,3*x^3+3*x^2+6*x+6,-4*x^3-4*x^2-8*x-12,-2*x^3-4,-5*x^3+5*x^2-10,x^3+x^2+2*x+4,-6*x^3-3*x^2-12,-3*x^3-3*x^2-6*x-18,3*x^2,14*x^3+28,-5*x^3-5*x^2-10*x,9*x^3+9*x^2+18,-8*x^3-16*x^2-16,9*x^3+9*x^2+18*x+54,-20*x^3-20*x^2-40*x-60,5*x^3+5*x^2+10*x,5*x^3-5*x^2+10,-13*x^3-13*x^2-26,-9*x^3-9*x^2-18*x-36,-32,-6*x^3-12,-3*x^3+3*x^2-6,-x^3-x^2-2*x-4,4*x^3+8*x^2+8,x^3+x^2+2*x+2,-7*x^2,-x^3-x^2-2*x,21*x^3+21*x^2+42,10*x^3+20*x^2+20,-7*x^3-7*x^2-14*x-42,-19*x^2,8*x^3+8*x^2+16*x+24,-x^3-x^2-2,15*x^3+15*x^2+30*x+60,32,-26*x^3-13*x^2-52,-10*x^3-20]];
E[28,3] = [x^2+x+1, [1,0,x,-3*x-3,2*x-1,-3*x,2,3*x,x+1,-3*x-3,-6,-7*x,x+1,6,-4,9*x+9,3*x,9*x,x+1,-7*x,0,-x,13*x+13,12,-15*x-15,-10,15*x,-11*x-11,-15*x-15,-x,6,8,-3*x-3,-21*x,20,-3*x-3,17*x,-13*x,-11*x-11,-12,9*x+9,21*x,-10,9*x+9,11*x,18,-7*x,-4]];

E[29,1] = [x^2+5, [1,x,-x,-3,2,x,-1,-2*x,0,6,2*x-3,3*x,0,-2*x,-3*x,x,-9,6,6*x,8,0,0,-3*x,-6,-2*x,6*x,-8*x,-4,18,5,4*x,0,4*x,4*x,-10,15,-10,-6*x,-9*x,-12,-6,0,5,4*x,-6*x,-18,14,3*x]];
E[29,2] = [x^2+2*x-1, [1,x,-x,-1,2*x+2,x+2,2*x+1,-2*x-4,6,-4*x-6,1,-5*x-2,-4,6*x+10,x+6,3*x+4,-6*x-5,4*x+6,2*x,-4*x-4,2*x-4,4,x,-4*x-2,6*x+2,-6*x-10,-4*x-12,2*x,2*x-10,-4*x+3,8*x+6,-4*x-14,-8*x+2,12,14,2*x-3,10*x+10,-6*x-6,5*x+16,-2*x-8,4*x+22,6*x+8,-8*x-11,-8*x+6,-2*x-10,2,6*x+14,13*x+12]];
E[29,3] = [x^6+2*x^5+4*x^4+x^3+2*x^2-3*x+1, [4,4*x,2*x^5+4*x^4+10*x^3+6*x^2+10*x-8,-x^5+x^4+x^3+4*x^2-10*x+1,-2*x^4-4*x^3-2*x^2-2*x+2,10*x^5+28*x^4+58*x^3+42*x^2+34*x-24,-14*x^5-32*x^4-70*x^3-42*x^2-42*x+28,-4*x^5-8*x^4-12*x^3+4*x^2+4*x+16,-x^5-5*x^4-15*x^3-18*x^2-16*x+3,7*x^5+11*x^4+17*x^3-2*x^2+12*x-13,4*x^5-4*x^3-28*x^2-12*x-12,x^5+11*x^4+23*x^3+32*x^2+22*x+11,11*x^5+29*x^4+61*x^3+40*x^2+34*x-15,2*x^5+6*x^4+6*x^3-4*x+14,-7*x^5-15*x^4-25*x^3-10*x^2-8*x+17,-18*x^5-44*x^4-82*x^3-42*x^2-50*x+32,x^5+7*x^4+15*x^3+20*x^2+18*x+7,4*x^5+8*x^4+12*x^3-4*x^2-4*x-48,6*x^5+12*x^4+22*x^3+10*x^2+6*x-8,7*x^5+29*x^4+49*x^3+36*x^2-10*x+1,-18*x^5-48*x^4-90*x^3-54*x^2-54*x+36,7*x^5+23*x^4+41*x^3+34*x^2-25,9*x^5+15*x^4+39*x^3+24*x^2+54*x-21,7*x^5+19*x^4+41*x^3+22*x^2+32*x-5,5*x^5+3*x^4+11*x^3+4*x^2+42*x+3,7*x^5+11*x^4+9*x^3-2*x^2-8*x+3,7*x^5+19*x^4+25*x^3+22*x^2-4*x-13,-38*x^5-88*x^4-174*x^3-90*x^2-106*x+68,-37*x^5-99*x^4-195*x^3-136*x^2-110*x+49,-16*x^5-42*x^4-76*x^3-34*x^2-18*x+26,26*x^5+68*x^4+130*x^3+62*x^2+50*x-56,6*x^5+8*x^4-2*x^3-30*x^2+2*x+4,7*x^5+27*x^4+57*x^3+46*x^2+4*x-37,-41*x^5-119*x^4-223*x^3-160*x^2-94*x+45,-33*x^5-61*x^4-119*x^3-18*x^2-68*x+91,41*x^5+97*x^4+183*x^3+102*x^2+116*x-15,-3*x^5-23*x^4-53*x^3-54*x^2+4*x+33,6*x^5-2*x^4+18*x^3-20*x^2+8*x-74,28*x^5+70*x^4+152*x^3+102*x^2+90*x-62,4*x^5+22*x^4+32*x^3+10*x^2-14*x+2,-8*x^5-28*x^4-24*x^3-4*x^2+20*x-44,-3*x^5-5*x^4-13*x^3-12*x^2-14*x-5,-32*x^5-82*x^4-156*x^3-74*x^2-58*x+66,6*x^5+18*x^4+18*x^3-12*x-38,35*x^5+91*x^4+189*x^3+154*x^2+140*x-21,-37*x^5-69*x^4-139*x^3-22*x^2-80*x+107,11*x^5+19*x^4+21*x^3-30*x^2-4*x+3,37*x^5+75*x^4+179*x^3+112*x^2+182*x-73]];
E[29,4] = [x^12+7*x^11+23*x^10+42*x^9+32*x^8+7*x^7+92*x^6+259*x^5+289*x^4+133*x^3+18*x^2+1, 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E[30,1] = [x, [1,-1,1,-1,-4,0,2,6,-4,0,-6,8,2,-6,-4,0,-6,0,-10,-4,0,2,8,12,18,2,18,-4,-12,-10,-18,20,0,6,-4,-6,8,2,-4,0,18,24,14,-24,-22,-6,8,20]];
E[30,2] = [x^2+1, [1,x,-x,x-2,-2*x,2,6*x,-2*x,0,-4*x,0,-8,-2*x,2,-4*x,8*x,6*x,-10,2,8*x,12,-4*x,0,-4*x,10,8*x,-8,-14*x,-12*x,-10,6*x,-2*x,-18,18*x,20,20,-8,-22*x,16*x,-12*x,-14*x,-10,2,12,-4*x,-22*x,0,12]];
E[30,3] = [x^4+1, [1,x,x^3-x^2-1,-x^3-2*x,x^2-1,x^3+x,0,2*x,-4*x^2,-4*x^3,5*x^3-5*x,-2,-6*x^2+6,4*x^3+4*x,6*x^2+6,0,4*x^3,-7*x^3+7*x,-6,4*x^2-4,-10*x^3-10*x,-5*x^2-5,-6*x^2,12*x^3,-2*x^3+2*x,-3*x^2+3,-7*x^3-7*x,x^2+1,-4*x,10*x^2,-14*x^3,7*x^2-7,13*x^3+13*x,-6*x,-8*x^2,-9*x^3+9*x,16,0,-4*x^2-4,-8*x,2*x^3,13*x^3-13*x,-22,2*x^3+2*x,-15*x^2-15,24*x,24*x^2,8]];

E[31,1] = [x^2-x-1, [1,x,-2*x,1,2*x-3,2,-2*x,-2*x+4,-2*x+1,6*x-4,-2*x+6,1,-2,7,2*x-2,4*x-4,-4*x-4,2*x-1,10*x-8,8,-10*x+7,4*x+2,-6*x-2,-8*x-2,6*x+2,-8*x-3,-3,2*x+3,-2*x+9,-8*x-1,4*x-3,4*x+6,12,-6*x+16,12*x-6,10,-10*x+2,16*x-5,6*x+1,-4*x,8*x-10,6*x-8,-10*x+12,-10*x-3,4*x-3,12*x-8,-8*x-6,10*x+7]];
E[31,2] = [x^4+3*x^3+4*x^2+2*x+1, [1,x,-x^2-2*x-1,x^3+2*x^2+x-2,-3*x-3,-2*x^2,3*x^3+9*x^2+12*x+6,-x^3,-5*x^3-15*x^2-15*x-5,-3*x^3-10*x^2-10*x,8*x^3+24*x^2+25*x+8,3*x^3+3*x^2+x-5,-2*x^3-4*x^2-2*x-1,-4*x^3-12*x^2-16*x-4,4*x^3+12*x^2+13*x+4,x^3-2*x^2-6*x-3,-9*x^3-24*x^2-24*x,4*x^3+15*x^2+22*x+11,8*x^3+16*x^2+8*x-2,2*x^3+4*x^2+2*x-3,-3*x^3-x^2-x,9*x^2+12*x+12,0,x^3+3*x^2+8*x+1,-x^2+6*x+6,-6*x^2+3*x+3,6*x^3+10*x^2+10*x,2*x^3+6*x^2+3*x+2,-2*x^3+x^2+x,-12*x^3-25*x^2-26*x-13,3*x^2+3*x+3,2*x^3+13*x^2+22*x+11,-5*x^2-2*x-2,-4*x^3-12*x^2-16*x-8,3*x^3+10*x^2+14*x+7,13*x^3+26*x^2+13*x-9,17*x^2+26*x+26,-6*x^3-18*x^2-24*x-6,-9*x^3-24*x^2-24*x,8*x^3+24*x^2+26*x+8,-5*x^3-6*x^2-2*x-1,-11*x^2-24*x-24,17,5*x^3+10*x^2+5*x-13,-x^2+2*x+2,-12*x^2-21*x-21,-6*x^3-35*x^2-58*x-29,-8]];
E[31,3] = [x^16+6*x^15+29*x^14+91*x^13+246*x^12+523*x^11+1011*x^10+1468*x^9+1957*x^8+1797*x^7+1656*x^6+1062*x^5+576*x^4-216*x^3+459*x^2+324*x+81, 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E[31,4] = [x^4-2*x^3+5*x^2+2*x+1, [5,x^3+2,5*x,-2*x^3+5*x^2-10*x-4,-5*x,-7*x^3+10*x^2-35*x-14,8*x^3-15*x^2+40*x+16,-10*x^3+25*x^2-60*x+5,8*x^3-20*x^2+45*x-4,-20,-2*x^3-34,5*x^3-10*x^2+30*x-20,2*x^3-5*x^2+10*x-1,16*x^3-25*x^2+80*x+32,-16*x^3+40*x^2-115*x+8,4*x^3+48,-12*x^3+25*x^2-60*x-24,4*x^3-10*x^2+45*x-2,-2*x^3-14,-7*x^3+10*x^2-35*x-14,-x^3-10*x^2-5*x-2,4*x^3-5*x^2+20*x+8,-16*x^3+40*x^2-65*x+8,21*x^3-40*x^2+105*x+42,6*x^3+22,-2*x^3+26,-6*x^3-42,-5*x^3-25*x-10,24*x^3-60*x^2+125*x-12,-2*x^3-54,-34*x^3+75*x^2-170*x-68,12*x^3-30*x^2+95*x-6,-24*x^3+60*x^2-135*x+12,-20*x^3+35*x^2-100*x-40,0,2*x^3-5*x^2+10*x-1,8*x^3+26,-2*x^3+46,12*x^3+104,36*x^3-90*x^2+235*x-18,-18*x^3+25*x^2-90*x-36,-28*x^3+70*x^2-155*x+14,-26*x^3+45*x^2-130*x-52,43*x^3-90*x^2+215*x+86,6*x^3-15*x^2+80*x-3,28*x^3-55*x^2+140*x+56,-37*x^3+90*x^2-185*x-74,20*x^3-50*x^2+105*x-10]];

E[32,1] = [x^8+4*x^7+6*x^6+4*x^5+2*x^4+8*x^3+24*x^2+32*x+16, [8,8*x,x^7+8*x^6+10*x^5+4*x^4+2*x^3+8*x^2+40*x+48,7*x^7+16*x^6+14*x^5+4*x^4+6*x^3+40*x^2+88*x+64,-24*x^7-66*x^6-60*x^5-20*x^4-24*x^3-156*x^2-376*x-304,x^7+2*x^6+2*x^5-6*x^3+4*x^2+24*x+16,17*x^7+46*x^6+46*x^5+16*x^4+18*x^3+124*x^2+272*x+208,-38*x^7-96*x^6-84*x^5-24*x^4-44*x^3-256*x^2-544*x-400,19*x^7+48*x^6+38*x^5+12*x^4+22*x^3+120*x^2+264*x+192,6*x^7+14*x^6+8*x^5+4*x^4+4*x^3+36*x^2+72*x+32,-3*x^7-10*x^6-10*x^5-6*x^3-20*x^2-80*x-64,-12*x^7-36*x^6-32*x^5-8*x^4-8*x^3-88*x^2-208*x-128,-3*x^7+4*x^6+2*x^5+4*x^4+2*x^3-16*x^2+24*x+32,-6*x^7-14*x^6-4*x^5-4*x^4-4*x^3-36*x^2-64*x-16,-33*x^7-86*x^6-74*x^5-24*x^4-26*x^3-220*x^2-488*x-368,14*x^7+36*x^6+36*x^5+16*x^4+12*x^3+88*x^2+224*x+176,19*x^7+40*x^6+22*x^5+4*x^4+14*x^3+120*x^2+216*x+112,-9*x^7-14*x^6-10*x^5-8*x^4-10*x^3-28*x^2-72*x-64,-x^7-10*x^6-14*x^5-8*x^4-2*x^3-4*x^2-16*x-32,3*x^7-12*x^6-18*x^5-12*x^4+6*x^3-72*x-144,-20*x^7-46*x^6-36*x^5+4*x^4-132*x^2-248*x-176,14*x^7+34*x^6+28*x^5+12*x^4+4*x^3+76*x^2+176*x+96,-42*x^7-96*x^6-84*x^5-40*x^4-52*x^3-288*x^2-592*x-400,25*x^7+68*x^6+74*x^5+12*x^4+2*x^3+160*x^2+392*x+352,-26*x^7-62*x^6-52*x^5-4*x^4-12*x^3-180*x^2-336*x-240,30*x^7+88*x^6+76*x^5+24*x^4+28*x^3+208*x^2+496*x+416,45*x^7+108*x^6+98*x^5+20*x^4+34*x^3+288*x^2+600*x+416,88*x^7+218*x^6+196*x^5+68*x^4+88*x^3+588*x^2+1224*x+944,53*x^7+154*x^6+138*x^5+32*x^4+66*x^3+372*x^2+824*x+720,-97*x^7-250*x^6-214*x^5-72*x^4-114*x^3-644*x^2-1408*x-1040,-32*x^7-84*x^6-80*x^5-24*x^4-16*x^3-184*x^2-480*x-384,-28*x^7-84*x^6-80*x^5-40*x^4-40*x^3-184*x^2-432*x-416,-5*x^7-28*x^6-26*x^5+4*x^4-10*x^3-64*x^2-152*x-144,-58*x^7-130*x^6-100*x^5-28*x^4-60*x^3-348*x^2-720*x-432,19*x^7+58*x^6+70*x^5+40*x^4+14*x^3+132*x^2+360*x+304,13*x^7+44*x^6+50*x^5+20*x^4+18*x^3+96*x^2+248*x+240,-30*x^7-66*x^6-64*x^5-12*x^4-36*x^3-156*x^2-344*x-256,-5*x^7-50*x^6-54*x^5-8*x^4-10*x^3-84*x^2-240*x-288,-3*x^7-6*x^5-12*x^4-6*x^3+24*x^2+24*x+48,22*x^6+20*x^5-4*x^4-8*x^3-12*x^2+136*x+144,117*x^7+302*x^6+270*x^5+80*x^4+122*x^3+764*x^2+1696*x+1328,-171*x^7-444*x^6-390*x^5-116*x^4-166*x^3-1120*x^2-2504*x-1888,-7*x^7-4*x^6+2*x^5-12*x^4+10*x^3-32*x^2-56*x+48,52*x^7+156*x^6+144*x^5+56*x^4+56*x^3+360*x^2+848*x+640,-14*x^7-40*x^6-28*x^5+8*x^4+4*x^3-112*x^2-272*x-128,19*x^7+40*x^6+30*x^5+20*x^4+30*x^3+88*x^2+232*x+192,56*x^7+158*x^6+148*x^5+44*x^4+72*x^3+420*x^2+872*x+656,125*x^7+324*x^6+274*x^5+92*x^4+138*x^3+832*x^2+1832*x+1312]];
E[32,2] = [x, [1,0,0,-2,0,0,6,2,0,0,-10,0,-2,10,0,0,14,0,-10,0,0,-6,0,0,10,18,-2,0,0,6,-14,0,0,-22,0,14,0,22,0,0,-26,0,-18,0,-14,-2,0,0]];
E[32,3] = [x^4+2*x^2+4*x+2, [3,3*x^3-3*x^2+6*x+6,3*x,-4*x^3+5*x^2-15*x-10,2*x^3-x^2+6*x+8,-5*x^3+x^2-9*x-20,x^3-2*x^2+3*x+4,6*x^3-6*x^2+12*x+12,10*x^3-2*x^2+21*x+22,-10*x^3+11*x^2-30*x-10,x^3-2*x^2+9*x-2,-12,-2*x^3+x^2-3*x-2,2*x^3+5*x^2+6*x+2,5*x^3-7*x^2+3*x+20,6*x^2+12*x+6,-2*x^3-5*x^2-9*x-8,11*x^3-7*x^2+21*x+14,-x^3+2*x^2-3*x+2,2*x^3-4*x^2+15*x-4,-14*x^3+7*x^2-30*x-44,-14*x^3+7*x^2-42*x-14,-12*x^3+6*x^2-36*x-30,8*x^3-10*x^2+21*x+26,22*x^3-11*x^2+42*x+64,-6*x^3-6*x^2-54,2*x^3-7*x^2+21*x+14,26*x^3-13*x^2+42*x+68,-5*x^3+x^2-9*x-20,-29*x^3+22*x^2-69*x-80,12*x^3+48*x+36,12*x^3+12*x^2+36,10*x^3-20*x^2+27*x-20,14*x^3-19*x^2+42*x+14,17*x^3+5*x^2+39*x+68,-20*x^3-5*x^2-45*x-80,-2*x^3-17*x^2-6*x-2,-x^3+2*x^2-3*x+2,-4*x^3+8*x^2+15*x+8,34*x^3-17*x^2+78*x+112,17*x^3-10*x^2+39*x+44,-4*x^3+14*x^2-15*x-22,20*x^3-x^2+39*x+80,-36,6*x^3+6*x^2-6,-28*x^3+17*x^2-51*x-34,-46*x^3+23*x^2-66*x-112,40*x^3-26*x^2+93*x+106]];

E[33,1] = [x, [1,1,-1,-2,4,1,-2,-2,0,8,-6,-8,6,-2,0,8,6,-4,6,-4,0,-14,-4,12,-6,2,2,8,-12,-2,-6,-4,-12,2,-8,-22,20,14,4,0,-6,12,22,8,-14,-14,0,0]];
E[33,2] = [x^4+x^3+6*x^2-4*x+1, [11,11*x,7*x^3+8*x^2+40*x-16,7*x^3+8*x^2+40*x-27,-6*x^3-10*x^2-39*x+9,16*x^3+23*x^2+104*x-57,15*x^3+25*x^2+103*x+5,-33*x^3-33*x^2-198*x+132,2*x^3+7*x^2+35*x-14,2*x^3-4*x^2+2*x-47,-36*x^3-60*x^2-234*x+54,-21*x^3-35*x^2-120*x-7,-10*x^3-24*x^2-65*x+15,27*x^3+34*x^2+170*x-68,-6*x^3+12*x^2-6*x+75,-x^3-9*x^2-45*x+18,9*x^3+15*x^2+64*x+3,58*x^3+93*x^2+377*x-87,39*x^3+54*x^2+204*x-141,3*x^3-6*x^2+3*x-54,-25*x^3-38*x^2-124*x+87,48*x^3+58*x^2+312*x-72,-33*x^3-55*x^2-275*x-11,-32*x^3-35*x^2-186*x+125,-2*x^3+4*x^2-2*x-41,-33*x,15*x^3+25*x^2+147*x+5,44*x^3+44*x^2+286*x-66,23*x^3+20*x^2+100*x-40,-132,-37*x^3-36*x^2-180*x+72,-26*x^3-36*x^2-136*x+94,-11*x^3+22*x^2-11*x+143,58*x^3+49*x^2+366*x-241,-36*x^3-27*x^2-234*x+54,2*x^3+7*x^2+2*x-3,-122*x^3-152*x^2-760*x+304,-24*x^3-18*x^2-90*x+36,39*x^3+65*x^2+292*x+13,66*x^3+110*x^2+407*x+22,-60*x^3-89*x^2-445*x+178,117*x^3+140*x^2+700*x-280,48*x^3+47*x^2+290*x-193,-142*x^3-200*x^2-923*x+213,-41*x^3-39*x^2-250*x+166,13*x^3-26*x^2+13*x-179,6*x^3-12*x^2+6*x-75,-3*x^3-5*x^2-36*x-1]];
E[33,3] = [x^4+3*x^3+4*x^2+2*x+1, [1,x,x^3+2*x^2+2*x,-x^3-4*x^2-6*x-3,-3*x-3,2*x^3+7*x^2+8*x+5,-3*x^3-9*x^2-7*x-3,x^3+3*x^2+4*x+2,4*x^3+11*x^2+11*x,-4*x^3-8*x^2-4*x+1,-4*x^2-6*x-6,-x^3-3*x^2-6*x-1,-2*x^2-x-1,-7*x^3-22*x^2-22*x,-2*x^3-4*x^2-2*x+5,x^3+3*x^2+3*x,9*x^3+27*x^2+28*x+9,-7*x^2-13*x-13,3*x^3+12*x^2+18*x+9,9*x^3+18*x^2+9*x-4,-9*x^3-18*x^2-18*x-9,2*x^2+4*x+4,-7*x^3-21*x^2-25*x-7,6*x^3+9*x^2+6*x+3,4*x^3+8*x^2+4*x+3,6*x^3+18*x^2+31*x+6,3*x^3+9*x^2+9*x+3,6*x+6,-3*x^3-8*x^2-8*x,0,-3*x^3,-6*x^3-12*x^2-12*x-6,-3*x^3-6*x^2-3*x-9,4*x^3+13*x^2+18*x+9,3*x^2+2*x+2,15*x^2+30*x+15,2*x^3+4*x^2+4*x,-6*x^2-6*x,-9*x^3-27*x^2-42*x-9,-2*x^3-6*x^2-19*x-2,16*x^3+31*x^2+31*x,-x^3-4*x^2-4*x,-4*x^3-23*x^2-38*x-19,4*x^2+9*x+9,-9*x^3-31*x^2-44*x-22,x^3+2*x^2+x+25,6*x^3+12*x^2+6*x-13,13*x^3+39*x^2+54*x+13]];
E[33,4] = [x^8+5*x^6+10*x^4+25, [275,275*x,11*x^7-5*x^6+55*x^5+20*x^4+55*x^3+100*x^2-275*x-75,-2*x^7-25*x^5+40*x^3+25*x,35*x^6+135*x^4+125*x^2-575,-13*x^7+30*x^5+260*x^3+575*x,-25*x^6-120*x^4-50*x^2-100,55*x^7+275*x^5+550*x^3,-5*x^6+75*x^4+100*x^2+750,-32*x^7-235*x^5-735*x^3-975*x,-10*x^7+40*x^5+200*x^3+400*x,-10*x^6-125*x^4-625*x^2-1250,15*x^6+105*x^4+525*x^2+225,10*x^7+70*x^5+75*x^3+150*x,80*x^6+450*x^4+1150*x^2+375,-41*x^7-265*x^5-280*x^3+1475*x,27*x^7+90*x^5+285*x^3+75*x,3*x^7+10*x^5-60*x^3+100*x,-20*x^6+25*x^4+400*x^2+250,-105*x^6-350*x^4+175*x^2+1175,10*x^7-95*x^5-200*x^3-1225*x,200*x^6+520*x^4+400*x^2-1400,5*x^6-20*x^4-650*x^2+900,-125*x^7-490*x^5-800*x^3-225*x,40*x^7+115*x^5+25*x^3+325*x,-35*x^6+85*x^4+425*x^2+850,135*x^7+450*x^5-225*x^3-2650*x,-70*x^6-490*x^4-1900*x^2-1050,90*x^7+630*x^5+1775*x^3+1350*x,-20*x^6-360*x^4-700*x^2-300,-92*x^7-160*x^5-85*x^3+50*x,40*x^6-270*x^4-1900*x^2-1600,-100*x^7-535*x^5-750*x^3+1250*x,-9*x^7+80*x^5+180*x^3+1075*x,-150*x^6-610*x^4-575*x^2+2700,135*x^7+780*x^5+1700*x^3-175*x,-30*x^6-320*x^4+600*x^2+650,-90*x^6-630*x^4-1500*x^2+300,-60*x^6+295*x^4+1475*x^2+2950,-120*x^7-400*x^5+200*x^3+3975*x,-195*x^7-1365*x^5-2975*x^3-2925*x,100*x^7+480*x^5+475*x^3-2350*x,70*x^6+600*x^4+525*x^2-875,206*x^7+1145*x^5+2755*x^3-2300*x,-200*x^6-795*x^4-1225*x^2-2725,100*x^7+315*x^5+750*x^3-1250*x,-30*x^6-100*x^4+50*x^2+375,280*x^6+1465*x^4+2375*x^2-1300]];
E[33,5] = [x^2-x+3, [1,0,x,-2*x+1,0,2*x-1,0,0,0,-2*x+1,0,5,-7,0,0,4*x-2,-8*x+4,-2*x+1,0,-13,10*x-5,0,0,0,10*x-5,17,0,-4,0,0,-2*x+1,0,0,-14*x+7,0,0,0,23,-16,0,0,10*x-5,-25,-14*x+7,0,0,20,0]];

E[34,1] = [x, [1,1,-2,0,-4,6,2,-1,-4,0,0,-4,-4,6,8,0,-6,0,-4,8,0,2,8,0,-6,14,18,-16,-6,-16,-6,-16,-6,6,2,6,-16,14,2,12,24,12,-4,-24,-10,-12,-16,-10]];
E[34,2] = [x^4+1, [1,x,-x^2-x,2*x^3-2,-2*x^3+2*x^2,-2*x^3-2*x^2-x+1,2*x^3-2*x^2+2*x,4*x^3+x,2*x^2-2*x+2,4*x-4,2*x^2-2*x,-2*x^2-2*x,-2*x^3+2*x^2+2*x-2,-5*x^3+5*x^2+4*x+4,6*x^3-3*x^2+3,-4*x^3-4*x^2-4*x,2*x^2-2*x+2,-2*x^3+x^2-1,4*x+4,x^3-x-6,-2*x^3+2*x^2+2*x-2,7*x^2-7*x,2*x^3+2*x^2+2*x-2,3*x^2+2*x+3,-5*x^3-8*x^2-5*x,3*x^3-3,4*x^3-4*x+10,-6*x^3+6*x+4,-3*x^3-8*x^2+8*x+3,8*x^3-8*x^2-2*x-2,5*x^3+5*x^2,-4*x^3+12*x^2-12,2*x^3-5*x^2+5*x-2,-4*x^3+4*x-8,-x^2-x,4*x^3+10*x^2+4*x,-10*x^2-8*x-10,8*x^3+2*x^2+8*x,-8*x^3+8*x^2+9*x+9,8*x^3-14*x^2-14*x+8,2*x^3-4*x^2-4*x+2,6*x^3+14*x^2-14,-8*x+8,2*x^3+2*x,-5*x^3-5*x^2-4*x+4,2*x^3-2*x^2-10*x-10,8*x^3+8*x^2-8*x-8,5*x^3-5*x^2+2*x+2]];
E[34,3] = [x^2+8, [1,-1,x,-x,0,-x,2,x-3,-4,2*x,-x,0,-3*x,2*x,-4,0,6,12,3*x,-4,2*x,0,-6*x,-12,6,6*x,-6,8,-x,-3*x,-4*x,-16,-x,-18,3*x,6,8,14,-3*x,-4*x,-x,12,3*x,0,6*x,-x,-6*x,3*x]];
E[34,4] = [x^2+2*x+2, [1,x+1,x,-2*x,-2*x-4,x+2,-6,-x+3,4*x+4,0,2*x,-6*x,0,x+2,6*x+6,8,6*x+6,-6*x-6,-4*x-8,-2,4*x,x,-8*x-16,-14*x-14,0,5*x,2,4,5*x,2*x+4,-5*x-10,8*x+8,-x,18,7*x,10,20*x+20,-22,15*x+30,10*x,-14*x,4*x+4,-4*x-8,12,-15*x-30,-12*x-24,-8*x,-9*x-18]];
E[34,5] = [x^2+2*x+2, [1,-x-1,0,x,0,-4*x-8,4,-4*x-5,-4*x-4,4*x+8,3*x,4*x,-3*x,x+2,4*x+4,8,4*x+4,-4*x-4,-9*x-18,-12,4*x,-5*x,8*x+16,4*x+4,0,-3*x,12,-16,-8*x,3*x+6,-x-2,-8*x-8,4*x,8,8*x,-10,0,-2,4*x+8,-8*x,-5*x,-4*x-4,11*x+22,-8,-11*x-22,5*x+10,-12*x,16*x+32]];

E[35,1] = [x^2+x-4, [1,x,-x-1,1,-1,x+1,x+3,-x-3,2*x-2,-2*x-2,-3*x-1,0,6,-2*x,2*x+6,3*x-1,2*x,-4,-6*x,-4*x,8,4*x-2,-x-5,4,2*x+4,-5*x-7,4*x-6,-x+3,-6*x-2,3*x+13,-14,4*x+4,-2*x-6,2*x-12,2*x-10,-4*x+2,7*x+11,-4*x+10,2*x-2,7*x+11,-x-7,20,10*x+8,x-11,-6*x+4,-2*x-4,-4*x-12,-9*x-9]];
E[35,2] = [x^2+4, [2,2*x,-x,-x-4,-x,-6,-x,7*x,0,-6*x,10,4,2*x,4,4*x,-3*x,-6*x,-20,-16,2*x,-16,-6*x,10,4*x,0,7*x,24,19*x,-8*x,-10,-6*x,2*x,44,12*x,20,-20,-26,-18*x,14*x,-3*x,9*x,40,-36,-6,-16*x,2*x,20,-26]];
E[35,3] = [x^4+4*x^3+5*x^2+2*x+1, [1,x,x^3+2*x^2+x,x^3+x^2-2*x-2,-2*x^3-6*x^2-7*x-3,-2*x^3-7*x^2-7*x-1,2*x^3+6*x^2+6*x+4,2*x^3+8*x^2+10*x+4,-x^3-2*x^2-2*x-1,-4*x^3-8*x^2-3*x-2,-3*x^3-9*x^2-9*x-3,-2*x^2-8*x-8,-2*x^3-8*x^2-12*x-2,3*x^3+13*x^2+17*x+5,-x^3-8*x^2-8*x,-x^3-2*x^2+4*x+9,-5*x^2-15*x-5,-6*x^3-21*x^2-21*x-3,-5*x^3-13*x^2-6*x-2,5*x^3+16*x^2+11*x-6,x^3+3*x^2+x+2,4*x^3+16*x^2+12*x-8,5*x^3+14*x^2+8*x+1,-2*x^3-3*x^2+3*x+2,5*x^3+7*x^2+4*x+2,-3*x^3-17*x^2-17*x,-x^2+8*x+8,-3*x^3-12*x^2-13*x-3,6*x^3+24*x^2+33*x+6,7*x^2+12*x+12,7*x^3+23*x^2+23*x,-5*x^3-11*x^2-3*x-2,12*x^3+38*x^2+28*x-2,-10*x^3-26*x^2-16*x+6,-5*x^3-15*x^2-5*x+2,6*x^3+15*x^2+6*x+3,16*x^3+48*x^2+40*x+8,-12*x^3-35*x^2-21*x-11,x^3+2*x^2+8*x+15,7*x^3+34*x^2+34*x,-8*x^3-32*x^2-50*x-8,-8*x^2-10*x-10,-4*x^3-6*x^2-1,x^3-12*x^2-26*x-13,2*x^3+11*x^2+19*x+7,9*x^3+13*x^2-15*x-10,8*x^3+6*x^2-16*x+4,3*x^3+9*x^2+3*x+2]];
E[35,4] = [x^4-2*x^3+5*x^2-4*x+1, [1,x,-x^3+2*x^2-5*x+2,5*x^3-8*x^2+21*x-9,2*x^3-3*x^2+8*x-6,-5*x^3+8*x^2-22*x+11,4*x^3-6*x^2+18*x-10,-2*x^3+4*x^2-10*x+8,x^3-x^2+5*x-2,-2*x^2+x,6*x^3-9*x^2+27*x-12,-8*x^3+10*x^2-32*x+8,-2*x^3+2*x^2-10*x,14*x^3-21*x^2+59*x-26,7*x^3-8*x^2+24*x-8,-19*x^3+29*x^2-81*x+38,-5*x^3+10*x^2-20*x+15,15*x^3-24*x^2+66*x-33,-x^3+4*x^2-9*x+5,23*x^3-34*x^2+97*x-40,-x^2+x+1,-28*x^3+40*x^2-116*x+48,-3*x^3+7*x^2-17*x+10,5*x^3-9*x^2+21*x-11,x^3-4*x^2-x+1,-14*x^3+17*x^2-51*x+17,8*x^3-7*x^2+32*x-8,3*x^3-3*x^2+10*x,6*x^3-6*x^2+27*x,-12*x^3+19*x^2-48*x+12,-16*x^3+23*x^2-69*x+23,-2*x^3+5*x^2-7*x+3,16*x^3-30*x^2+76*x-46,-28*x^3+44*x^2-122*x+50,-5*x^2+5*x-7,3*x^2-6*x+3,24*x^3-40*x^2+112*x-56,-x^3+2*x^2+8*x-9,29*x^3-43*x^2+123*x-58,27*x^3-34*x^2+102*x-34,8*x^3-8*x^2+42*x,10*x^3-18*x^2+40*x-10,4*x^3-6*x^2+12*x-5,-27*x^3+41*x^2-107*x+40,5*x^3-10*x^2+22*x-17,24*x^3-43*x^2+101*x-53,24*x^3-34*x^2+88*x-44,-3*x^2+3*x-1]];
E[35,5] = [x^4+2*x^3+5*x^2-2*x+1, [5,5*x,5*x^3+10*x^2+25*x-10,-2*x^3-5*x^2-10*x-1,-3*x^3-10*x^2-25*x-4,10*x^3+20*x^2+50*x-20,-2*x^3+4,-2*x^3-10*x+4,4*x^3+10*x^2+30*x+2,4*x^3+10*x^2+25*x+2,-5,-12*x^3-30*x^2-60*x+24,0,-2*x^3-11,-x^3+32,-4*x^3-10*x^2-20*x-2,-14*x^3-30*x^2-70*x+28,-26*x^3-50*x^2-130*x+52,18*x^3+45*x^2+120*x+9,25*x^3+60*x^2+125*x-50,6*x^3-62,10*x^3+20*x^2+50*x-20,-20*x^3-50*x^2-90*x-10,9*x^3-58,-2*x^3-5*x^2-30*x-1,4*x^3+2,26*x^3+45*x^2+130*x-52,-5*x,-8*x^3-20*x^2-25*x-4,8*x^3+5*x^2+40*x-16,-6*x^3+62,-8*x^3+66,-40*x,4*x^3+20*x-8,-10*x^3+60,14*x^3+35*x^2+80*x+7,10*x^2,-12*x^3-10*x^2-60*x+24,-44*x^3-110*x^2-240*x-22,x^3+98,32*x^3+80*x^2+200*x+16,-20*x^3-50*x^2-100*x+40,4*x^3-43,16*x^3+40*x^2+70*x+8,-4*x^3-10*x^2-20*x+8,4*x^3-118,4*x^3+20*x-8,6*x^3+18]];
E[35,6] = [x^4-x^2+1, [1,x,x^3-x,x^2-2*x-1,-x^3+3*x,0,2*x^3,2*x^3-2*x,-6*x^2+6,3*x,-7,-2*x^2,-8*x,5,7*x^3,0,-6*x^3+6*x,10*x^2,7*x^2-7,-5*x^3+5*x,-2,6*x^3-6*x,2*x^2-2,-11*x^3,-9*x^2+9,16*x^3,-9*x^2,-7*x,11*x,5*x^2,-6*x^3,-16*x^3,4*x^2-4,0,-8,-x^2+1,-14*x^2,12*x^3-12*x,4*x,3*x^3,12*x,-2*x^2,-3,12*x^2-12,4*x^3-4*x,8*x^3,-4*x^2,-10]];
E[35,7] = [x, [1,0,1,-1,1,-3,5,3,2,-6,3,-4,2,-12,-10,9,12,0,8,-4,0,2,-1,12,-12,-1,6,5,6,-7,6,-16,-6,-12,14,-6,-1,14,2,-3,-9,12,20,9,-4,0,-16,-13]];
E[35,8] = [x^4+25, [5,-x^2-5,5*x,-5*x,x^3+x^2+5,-5,-5*x,-x^3,-x^3+5*x,-2*x^2+10,3*x^2,-x^3-5*x,-6*x^2-30,3*x^3+15*x,3*x^2-15,3*x^3,-x^2+5,-3*x^3+15*x,-2*x^3-10*x,-x^2-5,-30,0,13*x^2,-10*x,2*x^3-10*x,x^3,x^3+5*x,35*x,-3*x^2-15,-7*x^2,-12*x^2+60,9*x^2+45,0,2*x^2+10,6*x^3-30*x,-12*x^2,45,-4*x^3,-6*x^2+30,-7*x^3,-35*x,-6*x^2,7*x^3+35*x,-15,8*x^2-40,-x^2-5,3*x^3-15*x,85]];

E[36,1] = [x^2+2, [1,x,0,-x,0,0,-4,5*x,0,0,-7*x,0,2,-x,0,0,5*x,0,-10,0,0,-16,0,0,-13*x,8,11*x,0,0,20,-x,0,0,-7*x,0,17*x,0,-22,0,0,11*x,0,20,0,14,-13*x,0,0]];
E[36,2] = [x^8+3*x^7+5*x^6+6*x^5+6*x^4+12*x^3+20*x^2+24*x+16, [8,8*x,-3*x^7-5*x^6-11*x^5-6*x^4-10*x^3-28*x^2-36*x-48,2*x^7+6*x^6+10*x^5+8*x^4+8*x^3+20*x^2+32*x+32,2*x^7+4*x^6+8*x^5+2*x^4+8*x^3+16*x^2+24*x+32,7*x^7+9*x^6+19*x^5+14*x^4+18*x^3+56*x^2+52*x+80,8*x^7+12*x^6+20*x^5+16*x^4+20*x^3+52*x^2+72*x+80,-8*x^7-14*x^6-22*x^5-18*x^4-24*x^3-60*x^2-80*x-88,-6*x^7-8*x^6-12*x^5-6*x^4-12*x^3-36*x^2-24*x-40,-2*x^7-2*x^6-10*x^5-8*x^4-12*x^3-20*x^2-24*x-48,-2*x^6-2*x^5-2*x^4-4*x^3-8*x^2-8*x,2*x^7-2*x^6-2*x^5+4*x^4+4*x^3-4*x^2-40*x-16,4*x^7+16*x^6+24*x^5+20*x^4+24*x^3+56*x^2+80*x+80,-x^7-7*x^6-13*x^5-10*x^4-6*x^3-16*x^2-36*x-24,-x^7+x^6-13*x^5-10*x^4-22*x^3-8*x^2-12*x-64,-24*x^7-30*x^6-62*x^5-46*x^4-60*x^3-184*x^2-160*x-256,28*x^7+48*x^6+72*x^5+60*x^4+88*x^3+216*x^2+272*x+288,3*x^7+x^6+23*x^5+22*x^4+30*x^3+40*x^2+52*x+120,-10*x^7-20*x^6-32*x^5-26*x^4-32*x^3-80*x^2-112*x-128,11*x^7+17*x^6+31*x^5+22*x^4+22*x^3+104*x^2+116*x+136,4*x^7+12*x^6+12*x^5+48*x^2+80*x+48,-2*x^7-8*x^6-12*x^5-10*x^4-12*x^3-28*x^2-40*x-40,2*x^7+20*x^5+14*x^4+32*x^3+16*x^2+24*x+96,16*x^7+18*x^6+34*x^5+26*x^4+36*x^3+104*x^2+64*x+128,-20*x^7-32*x^6-40*x^5-36*x^4-72*x^3-168*x^2-176*x-160,37*x^7+75*x^6+121*x^5+98*x^4+118*x^3+296*x^2+420*x+480,-24*x^7-30*x^6-46*x^5-38*x^4-60*x^3-152*x^2-184*x-128,-22*x^7-26*x^6-50*x^5-44*x^4-44*x^3-172*x^2-136*x-208,4*x^7-6*x^6-6*x^5+18*x^4+12*x^2-64*x-24,-8*x^7-32*x^6-48*x^5-40*x^4-48*x^3-112*x^2-160*x-160,32*x^7+72*x^6+112*x^5+92*x^4+116*x^3+284*x^2+392*x+464,36*x^7+48*x^6+96*x^5+60*x^4+96*x^3+264*x^2+240*x+384,14*x^7+22*x^6+38*x^5+16*x^4+36*x^3+100*x^2+104*x+144,27*x^7+37*x^6+55*x^5+46*x^4+74*x^3+184*x^2+220*x+144,-13*x^7-7*x^6-17*x^5-26*x^4-26*x^3-64*x^2+20*x-56,-16*x^7-24*x^6-32*x^5-28*x^4-52*x^3-124*x^2-136*x-208,-4*x^7-6*x^6-22*x^5-10*x^4-28*x^3-32*x^2-48*x-96,-40*x^7-60*x^6-100*x^5-80*x^4-100*x^3-260*x^2-360*x-400,24*x^7+32*x^6+72*x^5+48*x^4+72*x^3+192*x^2+192*x+304,-36*x^7-56*x^6-100*x^5-44*x^4-96*x^3-260*x^2-272*x-384,-14*x^6-14*x^5-14*x^4-28*x^3-56*x^2-56*x,-8*x^7-24*x^4-48*x^2+32*x,-32,-6*x^7-12*x^6-32*x^5-22*x^4-24*x^3-88*x^2-136*x-160,-7*x^7-9*x^6-19*x^5-14*x^4-10*x^3-32*x^2-60*x-88,40*x^7+64*x^6+80*x^5+72*x^4+144*x^3+336*x^2+352*x+320,-36*x^7-48*x^6-120*x^5-84*x^4-120*x^3-312*x^2-336*x-528,8*x^7+4*x^5+16*x^4+16*x^3+20*x^2-64*x]];
E[36,3] = [x^2+3, [2,0,2*x,-3*x-3,-x+1,3*x-3,x+1,12,-8,3*x+3,3*x-3,-5*x-5,4,-3*x-3,-x+1,-9*x+9,-12,3*x+3,-13*x+13,7*x+7,-24,-20,11*x-11,-9*x+9,12,11*x-11,15*x-15,7*x+7,24,4,9*x+9,-32,-21*x-21,3*x-3,-5*x-5,-15*x-15,-13*x+13,13*x+13,40,-9*x-9,-9*x+9,24,4,15*x-15,-11*x-11,12,-8,-17*x-17]];
E[36,4] = [x, [1,0,0,0,-4,0,2,0,8,0,0,-4,-10,0,8,0,0,0,14,-16,0,-10,-4,0,0,14,0,20,0,2,0,20,0,0,-16,0,-4,14,8,0,0,0,26,0,2,0,-28,-16]];

E[37,1] = [x, [1,-2,-3,-2,-1,-5,-2,0,0,2,6,-4,-1,-9,2,-9,1,8,-8,8,9,-1,4,-15,4,4,3,18,-12,-16,-18,1,-12,-6,4,-5,16,23,-18,-12,9,18,5,-4,-26,3,2,-13]];
E[37,2] = [x^2+4, [1,x,-1,-x,3,-3,-3*x,x,3*x,2*x,-2*x,0,3*x-1,-3,-3*x,3,9,-2*x,0,-12,-3,9,3*x,9,-7*x,6*x,-3,-3*x,-12,3*x,2*x,-7,-5*x,18,0,15,-8,3,-3*x,x,-21,8*x,-3,10*x,-3*x,3,-12*x,-13]];
E[37,3] = [x^2+x+1, [1,x,0,-x-1,-2*x-2,-2,2*x+2,3*x,6*x+6,-4,9,-10,-3*x-7,9*x+9,2,6,-2*x,-4*x,-x-1,10*x+10,-6*x-6,-10,-10*x-10,-12*x,7*x,7,-3,6,18*x+18,5*x,6*x,-8*x,0,-9,16*x,-11,-4*x-4,17*x,-6*x,-12*x-12,21*x,12,-5*x-5,-4,19,-15*x,-10,2]];
E[37,4] = [x^6-3*x^5+9*x^4-24*x^3+36*x^2-27*x+9, [9,9*x,4*x^5-9*x^4+30*x^3-75*x^2+90*x-54,-3*x^4+3*x^3-18*x^2+27*x-9,-10*x^5+24*x^4-72*x^3+192*x^2-216*x+72,12*x^4-9*x^3+72*x^2-117*x+81,14*x^5-42*x^4+111*x^3-312*x^2+414*x-207,-12*x^5+21*x^4-81*x^3+189*x^2-189*x+81,17*x^5-30*x^4+111*x^3-267*x^2+252*x-99,-18*x^4+18*x^3-108*x^2+216*x-108,18*x^4-27*x^3+108*x^2-243*x+189,24*x^5-48*x^4+159*x^3-405*x^2+405*x-162,-3*x^5+9*x^4-21*x^3+54*x^2-81*x-9,3*x^3-9*x^2+18*x-9,-6*x^5+12*x^4-39*x^3+99*x^2-99*x,33*x^5-87*x^4+252*x^3-675*x^2+855*x-378,24*x^5-33*x^4+144*x^3-315*x^2+243*x,3*x^5-3*x^4+18*x^3-27*x^2+18*x,-4*x^5+12*x^4-36*x^3+93*x^2-144*x+72,8*x^5-21*x^4+63*x^3-168*x^2+189*x-63,-36*x^5+48*x^4-204*x^3+477*x^2-315*x-9,-30*x^5+60*x^4-201*x^3+513*x^2-513*x+189,-13*x^5+6*x^4-81*x^3+111*x^2-54*x+18,36*x^5-48*x^4+225*x^3-486*x^2+369*x-108,-24*x^5+36*x^4-144*x^3+333*x^2-261*x,-18*x^5+54*x^4-144*x^3+423*x^2-576*x+261,15*x^5-60*x^4+135*x^3-432*x^2+639*x-297,3*x^4+6*x^3+18*x^2+72*x-81,-9*x^5+27*x^4-78*x^3+198*x^2-306*x+153,-8*x^5+18*x^4-54*x^3+150*x^2-162*x+72,15*x^5-30*x^4+90*x^3-270*x^2+234*x-135,-8*x^5-6*x^4-48*x^3+33*x^2-9*x,-33*x^5+63*x^4-225*x^3+540*x^2-585*x+270,21*x^4-27*x^3+126*x^2-252*x+189,x^5+12*x^3-21*x^2+9,39*x^5-78*x^4+252*x^3-639*x^2+639*x-189,-x^5+9*x^4-21*x^3+48*x^2-90*x+81,31*x^5-75*x^4+237*x^3-606*x^2+765*x-396,13*x^5-36*x^4+78*x^3-264*x^2+225*x,-12*x^5+30*x^4-96*x^3+261*x^2-369*x+261,-78*x^5+183*x^4-549*x^3+1485*x^2-1674*x+702,57*x^5-114*x^4+369*x^3-936*x^2+936*x-270,14*x^5-42*x^4+138*x^3-294*x^2+576*x-288,-15*x^5+30*x^4-99*x^3+252*x^2-252*x+216,27*x^4-24*x^3+162*x^2-306*x+225,36*x^5-84*x^4+252*x^3-684*x^2+801*x-324,36*x^5-54*x^4+234*x^3-495*x^2+450*x-171,6*x^4-24*x^3+36*x^2-162*x+144]];
E[37,5] = [x^6+6*x^5+15*x^4+19*x^3+12*x^2+3*x+1, [1,x,-x^4-5*x^3-10*x^2-9*x-2,2*x^5+10*x^4+22*x^3+24*x^2+12*x,-x^5-3*x^4-3*x^3,-x^5-6*x^4-14*x^3-15*x^2-7*x-1,x^5+5*x^4+9*x^3+5*x^2-3*x-4,-x^5-3*x^4-7*x^3-12*x^2-7*x+3,2*x^5+6*x^4+7*x^3+6*x^2+5*x+1,-x^4-5*x^3-10*x^2-9*x-3,-2*x^5-12*x^4-23*x^3-17*x^2-x-2,-2*x^5-8*x^4-12*x^3-8*x^2-2*x+1,4*x^5+22*x^4+50*x^3+53*x^2+26*x+3,2*x^5+10*x^4+18*x^3+13*x^2+2*x,-x^5-9*x^4-26*x^3-29*x^2-6*x+4,-2*x^5-8*x^4-7*x^3+9*x^2+15*x+5,4*x^4+16*x^3+23*x^2+14*x+7,3*x^4+8*x^3+3*x^2-10*x-5,-3*x^5-15*x^4-27*x^3-24*x^2-13*x-10,3*x^5+16*x^4+34*x^3+36*x^2+18*x,4*x^5+15*x^4+17*x^3-6*x^2-23*x-4,5*x^5+24*x^4+46*x^3+40*x^2+9*x-2,-8*x^5-39*x^4-81*x^3-84*x^2-42*x,-7*x^5-39*x^4-85*x^3-84*x^2-31*x+3,3*x^4+10*x^3+18*x^2+16*x+8,-4*x^5-19*x^4-30*x^3-15*x^2,3*x^5+14*x^4+24*x^3+17*x^2+6*x+2,4*x^5+24*x^4+51*x^3+42*x^2+10*x+4,6*x^5+30*x^4+54*x^3+35*x^2-7*x-13,-7*x^5-40*x^4-95*x^3-115*x^2-71*x-12,2*x^5+8*x^4+10*x^3+2*x^2+2*x,-4*x^4-20*x^3-38*x^2-36*x-18,-7*x^5-34*x^4-66*x^3-57*x^2-18*x-1,5*x^5+30*x^4+80*x^3+110*x^2+70*x+5,12*x^4+44*x^3+60*x^2+28*x-8,x^5-5*x^4-30*x^3-41*x^2-8*x+6,-9*x^5-58*x^4-144*x^3-167*x^2-89*x-24,7*x^5+30*x^4+53*x^3+42*x^2+12*x+2,-10*x^4-31*x^3-31*x^2,-2*x^5+6*x^4+47*x^3+90*x^2+73*x+17,4*x^5+15*x^4+15*x^3-5*x^2-19*x-1,8*x^5+40*x^4+80*x^3+72*x^2+16*x-3,6*x^2+25*x+25,10*x^5+51*x^4+104*x^3+95*x^2+21*x-3,2*x^5+12*x^4+20*x^3+16*x^2+2,-6*x^5-32*x^4-70*x^3-78*x^2-37*x-8,-10*x^5-41*x^4-61*x^3-28*x^2+3*x+1,8*x^5+48*x^4+103*x^3+95*x^2+31*x+8]];
E[37,6] = [x^18+9*x^17+42*x^16+135*x^15+345*x^14+837*x^13+2024*x^12+4464*x^11+8052*x^10+11016*x^9+12558*x^8+11322*x^7+7687*x^6+2700*x^5-3537*x^4-3942*x^3-81*x^2+486*x+243, 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E[37,7] = [x^4-x^2+1, [1,x,-x^3+x^2-x,2*x^3+x^2-2*x-2,2*x^3+2*x,-x^3+2*x-3,-2*x^2+4,x^2-2*x+1,3*x^3+x^2-3*x-2,x^3+2*x^2-1,2*x^3+2*x^2-1,-3*x^3+6*x^2-3,-7*x^2+4,-3*x^2,-4*x^2+2,-3*x^3+6*x+3,-4*x^3-6*x^2+2*x+6,-2*x^2+10*x-2,6*x^3+x^2-6*x-2,x^3+9*x^2+x,-6*x^2,0,9*x^3+3*x^2-9*x-6,6*x^3-3*x^2-3*x+3,3*x^2-4*x+3,-6*x^3-2*x^2+1,-9,-6*x^3+8*x^2-4,-4*x^3+6*x^2-4*x,3*x^2+12*x+3,2*x^2+8*x+2,6*x^3-7*x^2-3*x+7,-9*x^2-5*x-9,-2*x^3+4*x-3,-18*x^3-3*x^2+9*x+3,-2*x^3+4*x+9,9*x^3-x^2+9*x,20*x^3+3*x^2-10*x-3,6*x^2-12*x+6,4*x^3-4*x^2-4*x+8,-8*x^3+3*x^2+4*x-3,-2*x^3-4*x^2+2,4*x^3-3*x^2+4*x,-x^3+6*x^2-3,-6*x^3+10*x^2-5,-8*x^3+21*x^2+4*x-21,-18*x^3-8*x^2+4,-10]];
E[37,8] = [x, [1,0,1,0,-1,3,-4,6,2,6,-6,-4,1,-9,8,3,-3,12,8,-4,-15,11,-10,9,6,8,3,-4,12,2,-6,-7,-6,-6,-4,15,8,-13,-16,18,9,18,-7,-24,-4,15,2,-13]];

E[38,1] = [x, [1,1,-1,-4,3,2,-1,3,-1,-1,-5,-8,-2,-8,4,8,-1,15,2,3,2,9,-10,-6,0,-2,2,-6,-7,-15,14,18,12,-17,0,0,2,-2,-16,-12,-6,0,22,7,-6,8,-25,27]];
E[38,2] = [x, [1,-1,1,0,-1,-6,5,3,1,3,9,-4,2,0,8,0,-3,9,-10,5,-6,-7,-10,-6,-12,-10,18,14,-9,11,6,2,0,-9,-4,0,-10,-22,20,12,6,0,2,3,14,0,11,5]];
E[38,3] = [x^2-x+1, [1,x,-x,0,-4,3,2*x-2,6*x,3*x-5,-6*x+6,0,2,-10,-9*x,4*x,0,6*x-6,9*x,-4*x+4,-7*x+7,6*x,x,4*x,3,6*x-6,-17*x,0,2,0,16*x,15,2*x-2,-9*x,9*x-9,11*x-11,-18*x,-10,16*x,-19,-24*x+24,-6*x,9,2*x-2,12,-2*x,18,-10*x+10,-20*x]];
E[38,4] = [x^6+x^3+1, [1,x,x^5+x^3,-2*x^4-2*x,-2*x^5+2*x^4-2*x^3-2*x^2-2,-x^5+x^4+2*x^3+x^2-x,-2*x^5+2*x+2,4*x^5-4*x^3+x-4,2*x^5+2*x^3+x^2+2*x+4,-2*x^4-2,-4*x^5+4*x^4+2*x^3-4*x^2+2*x-2,-2*x^5+2*x^4+2*x^3-4*x^2-2*x+2,2*x^5-2*x^4+4*x^2-4*x-2,x^3-x^2+1,-2*x^5-3*x^4-2*x^3-2*x^2-3*x-2,2*x^5-6*x^4-2*x^3+2*x^2-4*x+4,6*x^4+4*x^3+4*x+6,-3*x^5+3*x^3-2*x^2-2*x+1,-2*x^3+6*x^2-2*x,6*x^5-3*x^3+6*x^2+3*x-3,-2*x^5+4*x^4+2*x^3+2*x^2+4*x-2,7*x^5+4*x^4+4*x^3+3*x^2-3,-2*x^5-6*x^4-2*x^3,3*x^5-3*x^4-2*x^3-x^2-4*x-2,3*x^5+8*x^4-8*x^3+4*x-4,x^5-x^3+x^2,2*x^5-4*x^4+4*x^3-2*x+2,4*x^5+6*x^4-2*x^3+6*x^2+4*x,2*x^5-2*x^4+7*x^3+4*x^2+2*x+7,2*x^5-8*x^4-8*x+2,-3*x^5+5*x^4-8*x^2+8*x,-6*x^5-2*x^4+2*x^3-10*x-8,x^2-8*x+1,-5*x^3-4*x^2-5*x,-10*x^5-5*x^4+5*x^3-5*x,-2*x^5-12*x^4+2*x^3-4*x^2+4,-4*x^5+10*x^4-14*x^2+14*x+2,2*x^5-4*x^4-2*x^3-2*x^2-4*x+2,4*x^5+5*x^4+8*x^3+5*x^2+4*x,-6*x^3+6*x^2-6*x,-2*x^5+2*x^3-4*x^2+12*x-2,7*x^5+12*x^4-2*x^3+12*x^2+7*x,-8*x^3+8*x-8,-8*x^5+2*x^4-10*x^2+10*x-2,-16*x^5+5*x^4-4*x^3-12*x^2+12,-4*x^5+4*x^4-2*x^3+10*x^2+14*x-2,-8*x^5-6*x^3-8*x^2+6*x-6,12*x^5-12*x^3+6*x^2-9*x-6]];
E[38,5] = [x^4+7*x^2+49, [7,-x^2-7,7*x,-x^2-7*x-7,x^3+7,-x^3-14,2*x^2,0,-x^3+2*x^2-7*x+28,x^3+x^2+7*x,-x^3-x^2-7*x,-x^3-21,-x^3+21,-5*x^2-14*x-35,-6*x^2+14*x-42,x^3+7*x^2+7*x,4*x^3-2*x^2+28*x,-21*x,-3*x^3-7*x^2-21*x,-x^3-2*x^2-7*x,8*x^2+14*x+56,-7*x^2-14*x-49,4*x^2+28,3*x^3,0,9*x^2+14*x+63,x^3-11*x^2+7*x,-2*x^3-56,2*x^3+70,-4*x^2+28*x-28,-4*x^3-35,2*x^3-8*x^2+14*x,6*x^2+21*x+42,-4*x^3+5*x^2-28*x,-x^3+16*x^2-7*x,-3*x^2+21*x-21,3*x^3+35,-28*x,3*x^3-28,-12*x^2,6*x^2+42,-3*x^3+84,-5*x^3+9*x^2-35*x,4*x^3-28,-4*x^2+28*x-28,-x^3-35,6*x^3-4*x^2+42*x,8*x^2-14*x+56]];

E[39,1] = [x, [1,1,-1,2,-4,4,1,2,0,0,-10,4,-2,6,-12,0,6,12,-2,-8,0,2,8,4,-2,10,-18,0,12,-2,-6,-16,4,6,12,-6,4,-18,8,-8,6,4,-10,8,18,18,8,-20]];
E[39,2] = [x^2+2*x-1, [1,x,1,-2*x-2,2*x+2,-2,-1,4*x+6,-2*x-2,-4,2,2*x-2,-4*x-6,-2*x+6,-4*x,-4*x-10,-2,4*x+6,8*x+10,2*x+6,2,-4*x+2,-8*x-8,4*x+2,2*x+14,4*x+2,4*x+6,-4*x+4,-8*x-8,8*x+2,-8*x-2,4*x+4,-8,-2*x-10,-8*x-4,2*x-10,6*x-6,-10,2*x+18,-4*x-2,-4*x-10,-8*x-20,14,8*x,8*x+2,6*x-2,4*x+20,-12]];
E[39,3] = [x^2+x+1, [1,x,-x,-1,-2*x-2,-2*x,-x-4,7*x+7,6*x+6,-6*x,-x,4,x,9*x,-6*x-6,6,-9,0,-x-1,-2*x,-6*x-6,11,-4,-14,-14*x,2*x+2,3*x,6,-6*x,-2,15*x+15,20*x,-8,3*x+3,-12*x-12,-3*x-3,-2,-3,4*x+4,16*x,6*x+6,-2*x,-7,4*x+4,-9*x,6*x,-14*x-14,-8*x]];
E[39,4] = [x^2+3, [1,x,-1,0,-2*x,-2*x,2*x-1,-6,2*x,0,6,-2*x,4*x,-4*x,-4,2*x,6,6*x,-2,-6*x,2*x,0,-8,-2*x,-4*x,-8*x,6,8,12,4*x,-6,-8,-12,-12*x,-4,8*x,6*x,14,2*x,10*x,-18,-12,-10,24,0,0,16,-20]];
E[39,5] = [x^4+x^3+5*x^2-4*x+16, [20,20*x,-x^3-5*x^2-5*x-16,4*x^3-56,3*x^3-5*x^2+15*x-12,2*x^3+10*x^2+10*x+32,-5*x^3-5*x^2-45*x+20,-4*x^3-20*x+16,12*x^3+20*x^2+60*x-48,-2*x^3-10*x^2-10*x-32,-2*x^3-10*x^2-70*x-32,-4*x^3+36,-6*x^3-30*x^2-50*x-96,20*x,7*x^3+15*x^2+35*x-28,-16*x^3+104,12*x^3+32,2*x^3-30*x^2+10*x-8,-x^3+35*x^2-5*x+4,-3*x^3-15*x^2-35*x-48,14*x^3+70*x^2+70*x-56,8*x^3-172,4*x^3+124,-8*x^3-48,-8*x^3-40*x^2-128,-11*x^3-35*x^2-55*x+44,6*x^3+30*x^2+50*x+96,-4*x^3-84,2*x^3+10*x^2+90*x+32,20*x^3+20,18*x^3-10*x^2+90*x-72,-7*x^3-35*x^2-15*x-112,-24*x^3+56,-8*x^3-20*x^2-40*x+32,-35*x^3-35*x^2-175*x+140,-20*x^2,24*x^3-96,-24*x^3+316,-17*x^3+15*x^2-85*x+68,-4*x^3-20*x^2-100*x-64,30*x^3+70*x^2+150*x-120,8*x^3+40*x^2+128,12*x^3-8,-14*x^3-30*x^2-70*x+56,x^3+5*x^2+165*x+16,-4*x^3-20*x^2-140*x-64,49*x^3+25*x^2+245*x-196,-15*x^3-75*x^2-135*x-240]];
E[39,6] = [x^4+1, [1,x,x^3+x-1,-2*x,x^2+1,4*x^3,3*x^2-2,0,-x^2+1,-6*x^3+6*x,-2*x^3-2*x,5*x^2-5,x^2+1,-2*x,-6*x^2,4*x^3,4*x^3+4*x,4*x^3,8,5*x^2-5,4*x,x^2+1,-10,-8*x,-14*x^3,-7*x^2+7,6*x^3-6*x,6*x^2,4*x^3+4*x,-x^2+1,10*x^3+10*x,0,-8*x^3-8*x,-14*x^3,-4,-2*x,x^2+1,14,x^2+1,4*x^3,6*x^3-6*x,0,0,-2*x^3-2*x,19*x^2+19,22*x,0,14]];
E[39,7] = [x^8+6*x^6-x^4-78*x^2+169, [1768,1768*x,17*x^7-27*x^6+102*x^5-227*x^4+204*x^3-675*x^2-1547*x+702,16*x^7+200*x^5+400*x^3-2184*x,20*x^6+250*x^4+942*x^2-1846,-66*x^7-604*x^5-1208*x^3+3926*x,-58*x^6-62*x^4+1202*x^2+4160,96*x^7+758*x^5+1074*x^3-5590*x,60*x^6+308*x^4-268*x^2-6864,0,-114*x^7-762*x^5-1082*x^3+10036*x,22*x^6-388*x^4-2544*x^2+1638,-62*x^6-112*x^4-1108*x^2-6786,26*x^7+104*x^5-676*x^3-5538*x,36*x^6+450*x^4-426*x^2+3042,16*x^7+200*x^5+2168*x^3+1352*x,30*x^7+154*x^5-134*x^3+104*x,-60*x^7-308*x^5+268*x^3+3328*x,-112*x^6-1400*x^4-2800*x^2+15288,116*x^6+1008*x^4+3784*x^2-12740,32*x^7+400*x^5+800*x^3-832*x,32*x^6-42*x^4+1242*x^2-3926,3536,80*x^7+558*x^5+674*x^3-5174*x,-130*x^7-1404*x^5-2808*x^3+9126*x,-96*x^6+126*x^4-190*x^2+2938,-36*x^7+434*x^5+3078*x^3-2158*x,-128*x^6-1600*x^4-3200*x^2+10400,300*x^7+2424*x^5+1312*x^3-24596*x,-290*x^6-2520*x^4-7692*x^2-1742,48*x^7+158*x^5+1642*x^3+8034*x,-22*x^6-938*x^4-3202*x^2+22672,-120*x^7-1058*x^5-2558*x^3+5330*x,62*x^7+554*x^5+666*x^3-9568*x,512*x^6+3748*x^4+4844*x^2-35412,-102*x^7-1054*x^5-2550*x^3+2652*x,-20*x^6+192*x^4-1384*x^2+3172,-78*x^6-312*x^4+2028*x^2-11674,-240*x^6-1232*x^4+1072*x^2-832,196*x^7+2008*x^5+4016*x^3-13052*x,-300*x^7-2424*x^5-4848*x^3+21060*x,318*x^7+2428*x^5+6624*x^3+2782*x,-102*x^6-612*x^4-1224*x^2+3978,78*x^7-130*x^5-1586*x^3-2028*x,68*x^6-34*x^4-510*x^2+1326,-26*x^7-104*x^5+676*x^3+3770*x,88*x^6+1100*x^4+4852*x^2+7436,-2*x^6+638*x^4-50*x^2+52]];
E[39,8] = [x^2-x+1, [1,0,x,-4*x+2,-x-1,2*x-4,x+3,0,2*x+2,6*x,-6*x,-2*x+1,0,4*x-8,-x+1,-4*x+2,12,-2*x-2,x-1,-5*x+10,-6*x-6,-2*x+1,-11,16*x-8,-4*x+8,-3*x-3,18*x,-1,6*x,18*x-9,6*x-6,-13*x,6,0,5*x-5,-4*x-4,4*x-2,11,-11*x-11,4*x-8,-6*x+6,-12*x,14,-18*x+18,9*x-18,-8*x+16,7*x-7,-13*x]];
E[39,9] = [x^4+3*x^2+9, [9,0,9*x,0,-5*x^3-3*x^2-12*x-27,0,7*x^3+15*x,0,-7*x^3-9*x^2+3*x+18,0,0,4*x^3-15*x^2-21*x-54,-10*x^3+21*x^2-33*x+27,0,-3*x^2-18,0,0,0,-15*x^3-45*x,11*x^3+6*x^2-15*x+81,0,10*x^3+3*x^2+51*x-72,-21*x^3,0,0,19*x^3-9*x^2+42*x-99,0,54*x^2+81,0,17*x^3-15*x^2+57*x+63,0,2*x^3+3*x,0,0,-21*x^2,0,23*x^3+42*x^2+12*x+45,-99,8*x^3-42*x^2-51*x-27,0,0,0,-24*x^2-36,0,-23*x^3+21*x^2+6*x+144,0,17*x^3-51*x,135*x]];

E[40,1] = [x^4+2*x^3+2*x^2+4*x+4, [2,2*x,-3*x^3-2*x^2-4*x-8,x^3+2,x^3+2*x^2,2*x^3+4,4*x^3+4*x^2+8*x+12,2*x^3+4*x^2+4,4*x^2+8*x+4,-3*x^3-6*x^2-8,-8*x^3-8*x^2-16*x-24,-2*x^3-4*x^2-8,2*x^3+4,2*x^3+4*x^2,5*x^3-2*x^2-4*x+8,-x^3-2*x^2+8,-12*x^3-4*x^2-8*x-28,8*x^3+4*x^2+8*x+20,10*x^3+8*x^2+16*x+28,-11*x^3-2*x^2-4*x-24,2*x^3+4*x^2+8,2*x^3+4*x^2+12,4*x^3+8*x^2-8,-x^3+2*x^2+4*x,4*x^3+8*x^2+12,-6*x^3-12*x^2-20,-4*x^3-8*x^2-16*x-16,5*x^3+10*x^2+24,-3*x^3-2*x^2-4*x-8,-18*x^3-8*x^2-16*x-44,-4*x^3-8*x^2-20,x^3+2*x^2+32,22*x^3+16*x^2+32*x+60,4*x^3+8*x^2+4,-4*x^2-8*x-4,10*x^3+16*x^2+32*x+36,-6*x^3-12*x^2-16,2*x^3-8*x^2-16*x-4,x^3+6*x^2+12*x+8,3*x^3+6*x^2-24,-2*x^3-4,8*x^3-4*x^2-8*x+12,-16*x^3-32,10*x^3+20*x^2+16,-2*x^3-4*x^2+4,20*x^3+4*x^2+8*x+44,-8*x^3-16*x^2+8,-30*x^3-24*x^2-48*x-84]];
E[40,2] = [x^4+2*x^2+4, [2,2*x,x^3,-x^3-2*x^2-2,-x^3-4*x,4*x^2+4,0,2*x^3+8*x,-4*x^2-4,x^3+4*x,0,8,6*x^3,0,-3*x^3,-3*x^3-12*x,-4*x^3,12*x^2+12,-4*x^2-4,3*x^3,-24,2*x^3+8*x,-8,7*x^3,12,-2*x^3-8*x,-16*x^2-16,-3*x^3-12*x,-x^3,4*x^2+4,0,7*x^3+28*x,-4*x^2-4,-4*x^3-16*x,-12*x^2-12,20*x^2+20,-32,-6*x^3,-15*x^3,5*x^3+20*x,-2*x^3,4*x^2+4,16*x^2+16,48,10*x^3+40*x,4*x^3,8,28*x^2+28]];
E[40,3] = [x^8+2*x^7+2*x^6-4*x^4+8*x^2+16*x+16, [8,8*x,x^7-4*x^3,3*x^7+4*x^6+2*x^5-4*x^4-4*x^3+8*x^2+16*x+24,-3*x^7-2*x^6+4*x^4+4*x^3-16*x^2-16*x-16,2*x^6-4*x^4+16*x,-2*x^7-4*x^6-2*x^5-16*x-16,2*x^5,4*x^5+16,x^7+8*x^6+4*x^5-12*x^3+32*x+32,-4*x^7-8*x^6-4*x^5+8*x^4+16*x^3-16*x^2-32*x-48,4*x^7-2*x^6-12*x^4+16*x^2-16*x+16,-2*x^7+2*x^5-16*x^2-16*x,-6*x^6+12*x^4-48*x-32,x^7+8*x^5-4*x^3+64,7*x^7+2*x^6-4*x^5-4*x^4-4*x^3+48*x^2+48*x+16,-4*x^6-2*x^5+8*x^3-16*x-16,4*x^7+4*x^6-4*x^5-8*x^4-16*x^3+32*x+16,4*x^7+6*x^6+4*x^4+16*x^2+48*x+16,x^7+2*x^6+8*x^5-4*x^4-4*x^3+16*x+16,-12*x^7-6*x^6+12*x^4-48*x^2-48*x-48,-6*x^7-2*x^5+24*x^3-16,-8*x^6-8*x^5+32*x^2-32,-x^7-12*x^5+4*x^3-96,-4*x^7-4*x^6+8*x^4+16*x^3-32*x-32,-2*x^7-4*x^6-6*x^5+8*x^4+8*x^3-32*x-32,-8*x^7-8*x^6-32*x^2-64*x-32,5*x^7+8*x^6+4*x^5+4*x^3+32*x+32,5*x^7+10*x^6-8*x^5-20*x^4-20*x^3+80*x+80,10*x^7+22*x^6+12*x^5-20*x^4-40*x^3+32*x^2+80*x+128,6*x^7+10*x^5-24*x^3+80,x^7+6*x^6+8*x^5-12*x^4-12*x^3-16*x^2-16*x+48,-6*x^6+12*x^4-48*x+32,4*x^7+8*x^6+6*x^5-16*x^4-16*x^3+64*x+64,-12*x^7-12*x^6-28*x^5+24*x^4+48*x^3-96*x-208,-6*x^7-2*x^6+4*x^5+12*x^4+24*x^3-64*x^2-48*x-32,12*x^7+10*x^6-4*x^4+48*x^2+80*x+48,-16*x^7-20*x^6-14*x^5+40*x^4+40*x^3-48*x^2-48*x-160,-3*x^7-24*x^5+12*x^3-192,11*x^7+10*x^6+4*x^5-20*x^4-20*x^3+48*x^2+48*x+80,-6*x^7+4*x^6+2*x^5-32*x^3+16*x+16,-4*x^7-4*x^6+20*x^5+8*x^4+16*x^3-32*x+48,16*x^7+8*x^6-16*x^4+64*x^2+64*x+64,-4*x^7+6*x^6+20*x^4-16*x^2+48*x-16,4*x^7-2*x^5-16*x^3-16,12*x^7+12*x^6+6*x^5-24*x^4-24*x^3+48*x^2+48*x+96,-16*x^7-40*x^6-24*x^5+32*x^4+64*x^3-32*x^2-128*x-224,6*x^6-12*x^4+48*x+96]];
E[40,4] = [x^2+4, [1,0,x,-x-1,-x,-4,2*x,0,4,-x,-2,0,-2*x,2,-3*x,3*x,-2*x,12,-10,-7*x,8,4*x,-16,x,-6,-8*x,6,7*x,5*x,6,8*x,3*x,-12,-4*x,-4,-18,-8,2*x,x,-9*x,-6*x,4,22,0,-8*x,6*x,8,4]];
E[40,5] = [x, [1,0,0,1,-4,4,-2,2,4,4,-2,-8,6,-6,-8,4,6,-4,-2,8,0,-6,0,-16,-6,-14,6,4,0,14,18,-12,12,10,12,-10,-16,-2,16,12,14,20,-10,8,-14,22,8,-4]];

E[41,1] = [x^3+x^2-5*x-1, [2,2*x,-x^2-2*x+3,-2*x-2,x^2+2*x+1,3*x^2+2*x-9,-2*x^2+6,-4,-3*x^2-2*x+13,-4*x^2-4*x+16,2*x^2+4*x-10,4*x+12,-6*x-6,2,2*x^2-10,3*x^2-6*x-13,2*x^2+4*x-2,-4*x^2-4*x+8,-2*x^2+4*x+10,-3*x^2-2*x+9,-3*x^2+2*x+25,8*x^2+2*x-30,x^2-2*x+17,4*x^2+8*x-12,-8*x^2-4*x+24,-4*x^2-8*x+16,6*x^2-10,2*x^2-12*x-14,8*x-8,2*x^2-8*x-14,-8*x^2-10*x+30,-4*x^2-4*x+24,2*x^2-4*x-22,-8*x^2-16*x+36,4*x^2+20*x-16,10*x^2+12*x-26,x^2-6*x+13,6*x^2+16*x-26,-4*x^2+4,x^2+6*x-11,4*x^2+8*x-32,x^2-14*x-7,-10*x^2-12*x+10,-x^2+18*x+19,-4*x^2-4*x-4,-2*x^2+4*x+42,3*x^2+10*x+23,-3*x^2-14*x+13]];
E[41,2] = [x^6+11*x^4+31*x^2+9, [6,6*x,x^5+11*x^3-3*x^2+28*x-15,-x^5-8*x^3-19*x,-3*x^3+3*x^2-15*x+9,-x^5-3*x^4-5*x^3-21*x^2+8*x-12,2*x^5+3*x^4+16*x^3+18*x^2+20*x-3,-3*x^5-24*x^3-39*x-18,3*x^4-3*x^3+15*x^2-9*x,-12,-x^5-2*x^3-6*x^2+17*x-12,-6*x^4-48*x^2-66,-9*x^4-54*x^2-21,x^5+9*x^4+8*x^3+60*x^2+7*x+57,-4*x^5-38*x^3-70*x,2*x^5+3*x^4+19*x^3+21*x^2+47*x+30,-x^5-8*x^3-13*x+6,-12*x^4-72*x^2-24,2*x^5+34*x^3+116*x,-3*x^5+3*x^4-21*x^3+21*x^2-18*x,3*x^5+6*x^4+9*x^3+51*x^2-48*x+45,x^5+8*x^3+7*x,4*x^5+9*x^4+47*x^3+39*x^2+109*x-42,12*x^2+24,-8*x^5-3*x^4-70*x^3-12*x^2-128*x+57,-x^5-6*x^4-26*x^3-54*x^2-115*x-78,2*x^5+3*x^4+28*x^3+30*x^2+92*x+57,-2*x^5-22*x^3-92*x,-24*x^2-108,-3*x^4-12*x^3-30*x^2-66*x-45,-3*x^4+6*x^2+57,-18*x^4-108*x^2-42,-8*x^5-58*x^3-38*x,5*x^5+6*x^4+46*x^3+42*x^2+107*x+66,12*x^4+84*x^2+120,-5*x^5+12*x^4-58*x^3+54*x^2-131*x-48,-3*x^5-39*x^3+15*x^2-114*x+63,-6*x^5-3*x^4-48*x^3-18*x^2-72*x+27,12*x^4+96*x^2+96,x^5-9*x^4-7*x^3-39*x^2-44*x+12,12*x^5+120*x^3+276*x,-6*x^5-12*x^4-45*x^3-69*x^2-87*x-63,x^5+12*x^4+8*x^3+72*x^2+37*x+42,3*x^5-3*x^4+45*x^3+3*x^2+138*x+72,-6*x^5+3*x^4-42*x^3+12*x^2-54*x+27,-2*x^5-34*x^3-140*x,-9*x^5-3*x^4-75*x^3-21*x^2-138*x-72,8*x^5+43*x^3-21*x^2-x-15]];
E[41,3] = [x^8+x^7+4*x^6-3*x^5-x^4+9*x^3+16*x^2+3*x+1, [12499,12499*x,1005*x^7+219*x^6+4483*x^5-5066*x^4+4151*x^3+7776*x^2+1529*x-2770,-2604*x^7-4000*x^6-12138*x^5+3724*x^4+6482*x^3-20633*x^2-60002*x-25656,-4016*x^7-4345*x^6-15091*x^5+12732*x^4+11072*x^3-37677*x^2-70458*x-13245,4260*x^7+5219*x^6+13406*x^5-9721*x^4-22700*x^3+61690*x^2+57783*x-8197,-8796*x^7-8558*x^6-35356*x^5+26691*x^4+10606*x^3-69811*x^2-113113*x-5045,-15104*x^7-12507*x^6-53470*x^5+55603*x^4+24561*x^3-165853*x^2-200154*x+33546,22976*x^7+22468*x^6+95002*x^5-67264*x^4-3837*x^3+204151*x^2+352455*x+66016,12114*x^7+12042*x^6+48403*x^5-37484*x^4-14027*x^3+98319*x^2+212146*x+7093,3615*x^7+5265*x^6+14633*x^5-7589*x^4-23312*x^3+24799*x^2+40012*x+17646,-9762*x^7-1978*x^6-40262*x^5+58312*x^4-48678*x^3-51056*x^2-123276*x+26160,-18880*x^7-25008*x^6-73087*x^5+28882*x^4+71323*x^3-210441*x^2-293939*x-126804,12955*x^7+4502*x^6+48896*x^5-71211*x^4+30314*x^3+75612*x^2+126915*x-60767,31260*x^7+25094*x^6+116682*x^5-117280*x^4-19754*x^3+315370*x^2+414507*x+22414,-35364*x^7-28115*x^6-131780*x^5+133229*x^4+21906*x^3-358429*x^2-506826*x-25467,14726*x^7+21603*x^6+66223*x^5-18775*x^4-27652*x^3+143303*x^2+343448*x+146586,22020*x^7+14126*x^6+78450*x^5-91970*x^4-6430*x^3+250220*x^2+281429*x+17660,-26100*x^7-25462*x^6-101500*x^5+87725*x^4+37149*x^3-232725*x^2-422327*x-79170,-7646*x^7-12225*x^6-37253*x^5+11069*x^4+18092*x^3-3455*x^2-187912*x-80286,-36792*x^7-27083*x^6-133598*x^5+147367*x^4+3285*x^3-374179*x^2-484896*x+84244,9177*x^7-15*x^6+34108*x^5-56669*x^4+38240*x^3+78057*x^2+15305*x-40218,-1972*x^7-2146*x^6-13224*x^5+1073*x^4-7859*x^3-9251*x^2-1856*x-131805,11536*x^7-5396*x^6+31597*x^5-99018*x^4+48966*x^3+116942*x^2+22824*x-183898,12469*x^7+19768*x^6+47437*x^5-18504*x^4-70081*x^3+143040*x^2+270082*x+51198,-7884*x^7-12053*x^6-37556*x^5+9259*x^4+8739*x^3-56076*x^2-209255*x-89082,4283*x^7+13395*x^6+14118*x^5+21964*x^4-76046*x^3+77016*x^2+156529*x+30045,-17570*x^7-17447*x^6-73835*x^5+49453*x^4-1556*x^3-157025*x^2-267632*x-50135,33740*x^7+24142*x^6+128242*x^5-149991*x^4-9262*x^3+264788*x^2+481770*x+89702,8960*x^7+3818*x^6+39346*x^5-35527*x^4+36697*x^3+62797*x^2+12388*x+82634,-16526*x^7-10429*x^6-57276*x^5+83441*x^4+22456*x^3-122718*x^2-199743*x+38025,26141*x^7+36776*x^6+108747*x^5-39938*x^4-90943*x^3+224722*x^2+469015*x+201684,-25425*x^7-20278*x^6-87669*x^5+104097*x^4+70345*x^3-251381*x^2-324666*x+56272,-13273*x^7+2555*x^6-43524*x^5+95051*x^4-55730*x^3-121763*x^2-23825*x-11485,-1830*x^7-6555*x^6-6111*x^5-16333*x^4+37214*x^3-36359*x^2-73674*x-14171,-820*x^7-1298*x^6-7451*x^5-5816*x^4-36531*x^3-14926*x^2-121325*x-50472,9654*x^7+8148*x^6+38549*x^5-29934*x^4-11129*x^3+78539*x^2+98151*x+5665,20185*x^7+27531*x^6+78162*x^5-36393*x^4-78805*x^3+212703*x^2+394424*x+74517,2594*x^7-6076*x^6-1214*x^5-47389*x^4+11821*x^3+43315*x^2+8374*x-57270,-17801*x^7+4777*x^6-59792*x^5+134454*x^4-74967*x^3-168028*x^2-32853*x+101609,9580*x^7+3580*x^6+42236*x^5-40580*x^4+39320*x^3+68900*x^2+13580*x-63031,9843*x^7+16099*x^6+50921*x^5-10851*x^4-3334*x^3+14820*x^2+301482*x+128082,-45230*x^7-27392*x^6-170914*x^5+199888*x^4-58903*x^3-413573*x^2-594579*x+108185,12279*x^7-9189*x^6+31230*x^5-123197*x^4+52694*x^3+136533*x^2+26591*x-199502,11104*x^7+19284*x^6+62242*x^5-10504*x^4+9722*x^3+1892*x^2+397286*x+168384,25866*x^7+9666*x^6+104038*x^5-134564*x^4+106164*x^3+186030*x^2+336642*x-66442,-67998*x^7-55262*x^6-255673*x^5+250458*x^4+46693*x^3-672043*x^2-818096*x-47825,58860*x^7+49577*x^6+221142*x^5-217230*x^4-40074*x^3+583020*x^2+894149*x+41484]];
E[41,4] = [x^8+3*x^7+8*x^6+11*x^5+15*x^4+11*x^3+18*x^2-7*x+1, [155,155*x,95*x^7+309*x^6+841*x^5+1248*x^4+1707*x^3+1348*x^2+1921*x-336,16*x^7+54*x^6+156*x^5+250*x^4+450*x^3+461*x^2+674*x-84,-114*x^7-377*x^6-1003*x^5-1448*x^4-1912*x^3-1537*x^2-2454*x+149,-8*x^7-27*x^6-78*x^5-187*x^4-318*x^3-370*x^2-585*x-175,188*x^7+588*x^6+1554*x^5+2209*x^4+2916*x^3+2247*x^2+3409*x-987,54*x^7+221*x^6+604*x^5+1115*x^4+1635*x^3+1769*x^2+2236*x+724,-120*x^7-374*x^6-984*x^5-1472*x^4-2073*x^3-1737*x^2-2327*x+134,82*x^7+238*x^6+691*x^5+1010*x^4+1415*x^3+1297*x^2+1788*x+81,187*x^7+573*x^6+1459*x^5+2019*x^4+2636*x^3+1821*x^2+2774*x-1842,-90*x^7-296*x^6-862*x^5-1290*x^4-1950*x^3-1450*x^2-2156*x+488,-196*x^7-646*x^6-1725*x^5-2520*x^4-3265*x^3-2741*x^2-3591*x+440,-293*x^7-954*x^6-2508*x^5-3559*x^4-4726*x^3-3422*x^2-5325*x+1453,-72*x^7-212*x^6-516*x^5-660*x^4-940*x^3-912*x^2-1607*x-56,180*x^7+561*x^6+1476*x^5+2177*x^4+2908*x^3+2497*x^2+3444*x-1007,-90*x^7-265*x^6-707*x^5-949*x^4-1206*x^3-799*x^2-1536*x+984,92*x^7+326*x^6+866*x^5+1360*x^4+1890*x^3+1682*x^2+2031*x+106,-148*x^7-422*x^6-1040*x^5-1305*x^4-1915*x^3-1823*x^2-3057*x+1180,-260*x^7-769*x^6-2101*x^5-2869*x^4-3856*x^3-2539*x^2-4210*x+2760,-76*x^7-241*x^6-710*x^5-1141*x^4-1719*x^3-1717*x^2-2070*x-686,13*x^7+71*x^6+150*x^5+145*x^4-80*x^3-197*x^2+71*x-820,188*x^7+588*x^6+1554*x^5+2147*x^4+3133*x^3+2495*x^2+4246*x-739,-4*x^7-60*x^6-39*x^5-140*x^4+120*x^3+156*x^2-60*x-1374,435*x^7+1410*x^6+3753*x^5+5522*x^4+7503*x^3+6192*x^2+9098*x-540,232*x^7+597*x^6+1456*x^5+1455*x^4+1875*x^3+872*x^2+3387*x-2024,-423*x^7-1385*x^6-3822*x^5-5784*x^4-7956*x^3-7032*x^2-9321*x+539,-122*x^7-311*x^6-833*x^5-1015*x^4-1610*x^3-1287*x^2-2636*x+997,346*x^7+974*x^6+2676*x^5+3585*x^4+5120*x^3+3556*x^2+6554*x-2514,232*x^7+690*x^6+1828*x^5+2633*x^4+3487*x^3+3135*x^2+4472*x-784,546*x^7+1711*x^6+4626*x^5+6555*x^4+9040*x^3+6916*x^2+11011*x-2479,241*x^7+732*x^6+2001*x^5+3010*x^4+4395*x^3+3776*x^2+5537*x-684,29*x^7+94*x^6+275*x^5+395*x^4+835*x^3+419*x^2+714*x-160,131*x^7+539*x^6+1440*x^5+2353*x^4+2952*x^3+2269*x^2+1531*x-277,-396*x^7-1135*x^6-3055*x^5-4095*x^4-5790*x^3-4241*x^2-7490*x+2885,16*x^7+54*x^6+187*x^5+312*x^4+543*x^3+368*x^2+147*x-146,-630*x^7-2010*x^6-5445*x^5-7480*x^4-10085*x^3-7205*x^2-11775*x+3385,-373*x^7-1255*x^6-3350*x^5-5181*x^4-7379*x^3-6099*x^2-8664*x+509,70*x^7+244*x^6+450*x^5+435*x^4-85*x^3-715*x^2+244*x-910,831*x^7+2669*x^6+7180*x^5+10516*x^4+14409*x^3+11642*x^2+16743*x-2929,90*x^7+234*x^6+490*x^5+360*x^4+90*x^3-720*x^2+234*x+225,-389*x^7-1061*x^6-2731*x^5-3199*x^4-4326*x^3-2468*x^2-5742*x+3600,-6*x^7+96*x^6+174*x^5+286*x^4+149*x^3+265*x^2-245*x-15,-449*x^7-1527*x^6-4184*x^5-6291*x^4-8664*x^3-6545*x^2-9091*x+1590,194*x^7+554*x^6+1752*x^5+2450*x^4+3790*x^3+2354*x^2+3034*x-2088,-772*x^7-2466*x^6-6628*x^5-9970*x^4-13730*x^3-11432*x^2-14866*x+3402,580*x^7+1756*x^6+4725*x^5+6598*x^4+9167*x^3+6613*x^2+10808*x-3107,556*x^7+1675*x^6+4522*x^5+6626*x^4+9484*x^3+7952*x^2+11409*x-3322]];
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