Sharedwww / Tables / ap_s2g1new_1-51.gpOpen in CoCalc
\\ ---------------------------------------------------------------
\\ 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 ([email protected])
\\ 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+4820768916*x^7+2411764206*x^6-577109037*x^5+522873594*x^4-595434960*x^3-3376245303*x^2+4862284767*x+1373898906,-65381928*x^11-353509968*x^10-1171127502*x^9-2481035715*x^8-3344012964*x^7-1752665688*x^6+485483931*x^5+458669862*x^4+1613124153*x^3+3021080490*x^2-1885721940*x+357567075,-34017679*x^11-193494680*x^10-651785028*x^9-1415898288*x^8-1966497036*x^7-1161759012*x^6+121151364*x^5-156706620*x^4-463354452*x^3+295289622*x^2-2419819848*x-643146948,19905170*x^11+125144259*x^10+462383925*x^9+1140265029*x^8+1933233057*x^7+2022806787*x^6+1236255180*x^5+462774411*x^4-259127046*x^3-1169656362*x^2-413006976*x-2095479,-22310702*x^11-121135540*x^10-376664511*x^9-732745350*x^8-770011074*x^7+138937509*x^6+1117074432*x^5+616242858*x^4+895668408*x^3+2003210622*x^2-162488601*x-1066360995,31016882*x^11+156381997*x^10+476978994*x^9+873883662*x^8+824104803*x^7-449893785*x^6-1394252814*x^5-305312856*x^4+270929376*x^3-325168416*x^2+1637981586*x-888039477,14387880*x^11+86041743*x^10+302513088*x^9+671568921*x^8+925432578*x^7+416526840*x^6-629153793*x^5-904618485*x^4-48851685*x^3+590101713*x^2+341424396*x+473391738,-26776690*x^11-117369513*x^10-342904920*x^9-619257315*x^8-693033702*x^7-234798222*x^6-588620406*x^5-1322683533*x^4+433964655*x^3+975852099*x^2-2698877619*x+1383388785,-52330452*x^11-334454124*x^10-1207556487*x^9-2869138419*x^8-4489642446*x^7-3742454151*x^6-571925430*x^5+835585803*x^4+947735712*x^3+1497952935*x^2-1366939638*x-2075486409,45733620*x^11+241394985*x^10+756969060*x^9+1469107710*x^8+1570943790*x^7-317433717*x^6-2361886497*x^5-1917577773*x^4-1758271950*x^3-1636159284*x^2+3235341825*x+503415108,-156026367*x^11-909239985*x^10-3097423143*x^9-6825611913*x^8-9650787930*x^7-5956267371*x^6+875601639*x^5+925099263*x^4+769269114*x^3+5873824332*x^2-5710558995*x-3463452090,-25044036*x^11-134449005*x^10-443672415*x^9-959163615*x^8-1350425169*x^7-861005628*x^6-122757327*x^5+206322705*x^4+1145269368*x^3+905428098*x^2-2838866193*x+39155643,54368144*x^11+293929099*x^10+949759986*x^9+1967462595*x^8+2561571552*x^7+1224171210*x^6-79474683*x^5+1094158659*x^4+482564304*x^3-1840583718*x^2+3532406778*x+971655012,140127750*x^11+816554115*x^10+2784077748*x^9+6141657384*x^8+8692806141*x^7+5335036938*x^6-1023214113*x^5-1570281714*x^4-2113884198*x^3-6114111579*x^2+5076844776*x+3180401280,71852298*x^11+397368489*x^10+1335809562*x^9+2873627034*x^8+3950894349*x^7+2133225240*x^6-767608893*x^5-1184146137*x^4-1621950723*x^3-2412965007*x^2+3786414930*x+543866238,-49010962*x^11-251841587*x^10-814612257*x^9-1713962055*x^8-2388674130*x^7-1727713326*x^6-1394664015*x^5-2343323994*x^4-647812692*x^3+848386395*x^2-3093680043*x+1664200080]];
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, [539963476,539963476*x,-288005198*x^11-1793962742*x^10-5193078254*x^9-7786441780*x^8-2301793728*x^7+1192145552*x^6-26788675368*x^5-53976960362*x^4-37004583694*x^3-154662378*x^2+1904434064*x-806433940,816303311*x^11+5379539204*x^10+16579804031*x^9+27569770075*x^8+15111408971*x^7+70881328*x^6+75467656764*x^5+180289054613*x^4+162789148684*x^3+45656480297*x^2-280360815*x+297177553,-627012014*x^11-4209608806*x^10-13226366502*x^9-22630054320*x^8-13885874492*x^7-1042988984*x^6-58021865232*x^5-145927153130*x^4-140111535726*x^3-46366653098*x^2-2972024100*x-2314238768,35370668*x^11+153351380*x^10+201962282*x^9-369973022*x^8-1851621482*x^7-1109187064*x^6+3641950696*x^5+690110416*x^4-10049424040*x^3-12130817334*x^2-1380041162*x+1933798350,-127338974*x^11-741223496*x^10-1886898818*x^9-2014292834*x^8+1692060528*x^7+2674154120*x^6-11987046516*x^5-18922882234*x^4+1764536524*x^3+18301259334*x^2+6791609042*x+173835124,-534840160*x^11-3453364018*x^10-10410535898*x^9-16744982520*x^8-7920662716*x^7+538520064*x^6-49891019996*x^5-111318812680*x^4-92817896170*x^3-21472346374*x^2+192815364*x-873874320,-121203359*x^11-713752078*x^10-1955615091*x^9-2651750665*x^8-45711681*x^7+891915920*x^6-10688382104*x^5-18951247345*x^4-10865832078*x^3+5298811979*x^2+5689963529*x+906494217,511064389*x^11+3242320094*x^10+9577078187*x^9+14864523289*x^8+5618471523*x^7-1839793136*x^6+46948462272*x^5+100770843619*x^4+77091426370*x^3+7827165925*x^2-8416679677*x-1525741079,971866490*x^11+6333724774*x^10+19398130566*x^9+32059335496*x^8+17305896106*x^7+839768536*x^6+89490353328*x^5+208541518910*x^4+189540931046*x^3+53198158414*x^2+1689302744*x-900054694,-56432713*x^11-598372814*x^10-2571577687*x^9-6102661281*x^8-7579548593*x^7-2639167612*x^6-5033705564*x^5-33674204511*x^4-54823773294*x^3-37684193113*x^2-7159067179*x-1332032167,-8736929*x^11-240068192*x^10-1282778375*x^9-3342881855*x^8-4260535321*x^7+106880064*x^6+1196084316*x^5-18839084751*x^4-32450770484*x^3-13199749593*x^2+10625387043*x+4885797593,-154125418*x^11-1186126786*x^10-4259945922*x^9-8733890818*x^8-8865050944*x^7-3658839936*x^6-14625008144*x^5-49495180350*x^4-68894802398*x^3-45886510110*x^2-11863985074*x-299962244,611217127*x^11+4342908414*x^10+14422865389*x^9+26670509955*x^8+21033626933*x^7+4778191064*x^6+56745163744*x^5+163855114489*x^4+184557629746*x^3+89899476659*x^2+14860776953*x-464402625,1927706038*x^11+12568834668*x^10+38220665892*x^9+62167897016*x^8+30674959964*x^7-2709705408*x^6+178770547496*x^5+413277099558*x^4+351415628832*x^3+78055108264*x^2-8565302608*x+5087300448,-2377043815*x^11-15389498176*x^10-46555397451*x^9-75211368213*x^8-36120623209*x^7+2891133904*x^6-220183119300*x^5-500060700493*x^4-421994482508*x^3-90680666273*x^2+6894822141*x-4075562471,-217055198*x^11-1558353628*x^10-5153038318*x^9-9337153314*x^8-6704719422*x^7-151117784*x^6-20020860512*x^5-60620359042*x^4-62436531940*x^3-21313209898*x^2+2372155458*x-205841498,-1675889532*x^11-10234766386*x^10-29015754064*x^9-42040704644*x^8-8952535796*x^7+7250792668*x^6-156619112396*x^5-294989011244*x^4-185268118366*x^3+16299659208*x^2+13326956364*x-5260391224,-1608736669*x^11-10502799528*x^10-31988794323*x^9-52072325421*x^8-25679419399*x^7+2882607736*x^6-148367553852*x^5-346706701127*x^4-294978750272*x^3-61963069125*x^2+8329690865*x-3348720857,1641173380*x^11+10634384176*x^10+32309202218*x^9+52789933998*x^8+27257285446*x^7+1267123592*x^6+153120486056*x^5+345278478144*x^4+302934034772*x^3+85794560498*x^2+11839269642*x+2929355446,-348033365*x^11-2365842102*x^10-7479613597*x^9-12851252471*x^8-7885618639*x^7-53750828*x^6-32216840536*x^5-83925453655*x^4-80053566642*x^3-24767155511*x^2+1098071315*x-822442473,-1073616501*x^11-6769286420*x^10-19861584963*x^9-30578781397*x^8-11272066739*x^7+2639369032*x^6-100745160324*x^5-207441522167*x^4-152640598516*x^3-19564744517*x^2+2062511617*x-307480997,-369051945*x^11-2530182278*x^10-8133397201*x^9-14479366651*x^8-10348508847*x^7-2381507928*x^6-34679302312*x^5-89638708135*x^4-94845515718*x^3-45899518311*x^2-6320864893*x+623921359,362206669*x^11+2896740444*x^10+10697878485*x^9+22514309273*x^8+23866087625*x^7+9811700712*x^6+34726929252*x^5+127750826807*x^4+182687601644*x^3+121658027339*x^2+33099009491*x+4318031795,1063468617*x^11+6930126060*x^10+21128117261*x^9+34566008861*x^8+17705074343*x^7-447191936*x^6+98586458400*x^5+227877389951*x^4+198207037796*x^3+49729346591*x^2+623456627*x+2879209105,260678741*x^11+1468406706*x^10+3370632739*x^9+2138472847*x^8-7838502699*x^7-10050847736*x^6+24531056116*x^5+35543177551*x^4-28657283322*x^3-73069247599*x^2-31765570023*x+4050662287,971410566*x^11+6116301360*x^10+17916139396*x^9+27422147384*x^8+9545317676*x^7-3331769832*x^6+90412644936*x^5+187852174142*x^4+135918464100*x^3+10038371440*x^2-5417896832*x+1062936984,-2979831119*x^11-19465292236*x^10-59465367609*x^9-97620614003*x^8-50630657957*x^7+1158714832*x^6-275667914684*x^5-642074595141*x^4-564619574356*x^3-144608327031*x^2+4833201991*x-5525589131,35627682*x^11+87793004*x^10-324155036*x^9-2250157908*x^8-5642024148*x^7-4729945204*x^6+2538266020*x^5-6073817842*x^4-32741950640*x^3-40891873716*x^2-19263533792*x-2556923696,2284153956*x^11+13951202928*x^10+39516465984*x^9+57083535328*x^8+11600400230*x^7-10618270200*x^6+213771794576*x^5+402914842544*x^4+248506825088*x^3-28554582312*x^2-19429766224*x+7550265202,-1941839776*x^11-12824049004*x^10-39549311602*x^9-65586207038*x^8-35167636338*x^7+1962788144*x^6-178919945440*x^5-433542975196*x^4-384400781728*x^3-90618153266*x^2+9112731366*x-4867475586,2180954047*x^11+15078819522*x^10+48976765633*x^9+88023908611*x^8+63877940301*x^7+11964763528*x^6+199789647672*x^5+548383839353*x^4+594752528478*x^3+252813789015*x^2+25082675713*x+1632438559,-706436145*x^11-4407944866*x^10-12869412403*x^9-19704094321*x^8-7058855381*x^7+1353236388*x^6-65600021816*x^5-133557074715*x^4-101041145638*x^3-12297046601*x^2+1073757681*x-314853771,1746884581*x^11+11304267910*x^10+34132678827*x^9+54779427313*x^8+25048048779*x^7-4625531872*x^6+160173523120*x^5+367707117843*x^4+303822277434*x^3+49783625333*x^2-14145710293*x-40587391,2125664417*x^11+13999063572*x^10+43446046353*x^9+73543254591*x^8+44279977745*x^7+7068473992*x^6+196889229500*x^5+468148963743*x^4+454202840340*x^3+168986834683*x^2+27581265961*x-2425928493,1044986463*x^11+6558415266*x^10+19163709861*x^9+29315920463*x^8+10249662833*x^7-3167785312*x^6+96858891840*x^5+198619866849*x^4+147313073358*x^3+15350118035*x^2-15050630651*x-2647410309,-3827042996*x^11-24550612060*x^10-73529883930*x^9-116906965402*x^8-51657996356*x^7+7192418900*x^6-354710080724*x^5-783872444612*x^4-635318761024*x^3-111357556074*x^2+16739773194*x-6478955412,-74475934*x^11-167653356*x^10+557842064*x^9+3563320072*x^8+7912350836*x^7+3149736200*x^6-8509144800*x^5+14564905914*x^4+49344619584*x^3+37071439028*x^2+2552980976*x-4416097920,1648026032*x^11+10525865038*x^10+30974842292*x^9+47074126522*x^8+14102562118*x^7-13655354384*x^6+150049323880*x^5+333177339472*x^4+226700337774*x^3-26187457372*x^2-57286207718*x-3024995266,-56812876*x^11-534991314*x^10-2039985146*x^9-4141118352*x^8-3673600380*x^7+752381496*x^6-5312282756*x^5-28329991420*x^4-28881741162*x^3-8731804486*x^2+930766524*x-3195314960,720448275*x^11+4357869022*x^10+11919459965*x^9+15769313935*x^8-1007346281*x^7-7451267268*x^6+69733714228*x^5+122675716645*x^4+44259858470*x^3-38438475317*x^2-10506835187*x+5824626433,2194433672*x^11+14732279588*x^10+46285381084*x^9+79177583416*x^8+48517044798*x^7+3485564336*x^6+202991461288*x^5+511237516116*x^4+491487303884*x^3+162980963012*x^2+10582876400*x+8138236266,-1083934608*x^11-7280441532*x^10-23046834204*x^9-40000873972*x^8-26048610284*x^7-4013271864*x^6-99394995480*x^5-253495981040*x^4-256713013740*x^3-92612149788*x^2-11640827940*x-2113372124,5238539919*x^11+34028231744*x^10+103172981997*x^9+167032621583*x^8+80598706787*x^7-8349073752*x^6+484148900292*x^5+1111685554397*x^4+937488798628*x^3+194921145091*x^2-24817425979*x+8391085369,-1200000159*x^11-7877951666*x^10-24027116989*x^9-38807185949*x^8-17622479495*x^7+6562258464*x^6-107607326500*x^5-264017657885*x^4-217289156342*x^3-17841618687*x^2+30512342213*x+6207746531,-1384058123*x^11-8178742910*x^10-22393752623*x^9-30590902473*x^8-2218279521*x^7+5189809032*x^6-130411585800*x^5-217302542021*x^4-114869195326*x^3+24334603991*x^2-293299047*x-784788783,2502116271*x^11+15883360168*x^10+47157251529*x^9+74037834159*x^8+30595446345*x^7-5116774704*x^6+230401703148*x^5+496542078037*x^4+395915290608*x^3+60105260695*x^2-17117901067*x-5005495537]];

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, [296264512931535,296264512931535*x,-5084054886030*x^15-28330793742807*x^14-134876830095135*x^13-402894889783602*x^12-1068749122026729*x^11-2177329724349816*x^10-4147265965327515*x^9-5586321873222066*x^8-7375894661111658*x^7-5835228430825221*x^6-5735348651443380*x^5-3030949558405017*x^4-1514899328790996*x^3+1661841876795210*x^2-2996926826067828*x-819437825688822,4860406866591*x^15+26864218752552*x^14+128458155729354*x^13+383569668496494*x^12+1024875268607928*x^11+2099240317641480*x^10+4044509676656352*x^9+5532911133724914*x^8+7531446321499239*x^7+6316728694320570*x^6+6672099862477473*x^5+4038535625361372*x^4+2589374060257545*x^3-699270918997653*x^2+2937289771925694*x+408616006598289,-11389517192*x^15+594401181644*x^14+2739945752717*x^13+13072424649011*x^12+32272121365274*x^11+79197171577453*x^10+122587628897789*x^9+211257387916435*x^8+107985931388646*x^7+124473711588701*x^6-335056200371316*x^5-34251871819140*x^4-122119259163246*x^3+35212605414561*x^2-280279373170842*x+235728067897476,-4504430589970*x^15-26924529956067*x^14-129837974015519*x^13-405565492862467*x^12-1092314971385475*x^11-2309405077995673*x^10-4447189313518065*x^9-6400938541194373*x^8-8483475717032365*x^7-7654649940447543*x^6-7066324011128031*x^5-4465168803930168*x^4-2330119431977490*x^3+1518894677222820*x^2-1434909528549225*x-943605058049019,-1665932271082*x^15-8333117812932*x^14-39019648423850*x^13-107803172106220*x^12-279429621168582*x^11-527419795773370*x^10-982323876678840*x^9-1102435378266700*x^8-1420993888547101*x^7-512241672944052*x^6-550015704357480*x^5+650159293232397*x^4+739718031197781*x^3+1562259896567613*x^2-908238781313703*x+460495020169989,1585921248277*x^15+9844958452281*x^14+47888462083460*x^13+153482981953228*x^12+417829214717211*x^11+902611466414314*x^10+1750732235085549*x^9+2596105938828157*x^8+3446314460663644*x^7+3226633488849318*x^6+2822525354366154*x^5+1696696748977617*x^4+876450970374372*x^3-818414350019694*x^2+1368857303299143*x+56851631204661,2270639398729*x^15+13131563174733*x^14+61796271218879*x^13+186505238914834*x^12+486874262750991*x^11+990799097490082*x^10+1846314403774233*x^9+2471443240759333*x^8+3049397591707630*x^7+2315502492864963*x^6+1834957918484469*x^5+862288790021367*x^4-267683374734426*x^3-1720044939320685*x^2+343207780951149*x+743757498510030,-245320811750*x^15-1527200300838*x^14-7234300293016*x^13-21565025979635*x^12-54430122290982*x^11-100361378108450*x^10-167254968070851*x^9-153249097924982*x^8-61013808914525*x^7+330851735817036*x^6+548263336146075*x^5+1063362777894198*x^4+742859182006821*x^3+1238473976680980*x^2-3092918784498*x-87892210108890,-1584244057745*x^15-7252642379673*x^14-34040078479222*x^13-88337415134309*x^12-229846665485529*x^11-412685142813572*x^10-787264476994236*x^9-795252081988454*x^8-1188439165860953*x^7-343572802084713*x^6-960422750521689*x^5+104128007808753*x^4-242134802622783*x^3+162057135296484*x^2-2519263362170331*x+44157951758007,10872874890844*x^15+62634798993243*x^14+301069441902017*x^13+919751323406275*x^12+2463285743458851*x^11+5103619001796820*x^10+9760442813672553*x^9+13496995564268800*x^8+17691678683014480*x^7+14283400493121723*x^6+12988626807556653*x^5+5946634709877951*x^4+2539096745528538*x^3-4746290625522666*x^2+4829134190101821*x+1883287830935088,-7535615388427*x^15-44210789846302*x^14-211704358473326*x^13-652603130063499*x^12-1741858729792918*x^11-3632162964065029*x^10-6912747446328817*x^9-9654578613800233*x^8-12445496074915874*x^7-10309175451841240*x^6-8614855400015076*x^5-4159710438750987*x^4-526483503227088*x^3+4216860668149578*x^2-1559920737710799*x-1081509067822572,12715485773308*x^15+72365138459097*x^14+345775381971779*x^13+1047060929374945*x^12+2788743491265498*x^11+5741650832015803*x^10+10953921441968463*x^9+15021564768608962*x^8+19740005401230091*x^7+16079609208585603*x^6+15128796908192838*x^5+8112463863445854*x^4+4114973109813480*x^3-4306323125639142*x^2+6949390107706515*x+2339066334649770,-8233903856911*x^15-50807892237284*x^14-244910646765434*x^13-779709602566184*x^12-2105328699370043*x^11-4529854451672479*x^10-8744664467134412*x^9-12959851661548768*x^8-17150788883322012*x^7-16632632897207918*x^6-14857136192882523*x^5-11175022387606446*x^4-5738402754496512*x^3-252660112814349*x^2-4340590736732622*x-3503939219161416,10411657975064*x^15+61731710434122*x^14+295839514018252*x^13+918279047713436*x^12+2457048744529527*x^11+5164747927354052*x^10+9875316600632799*x^9+14039439161498369*x^8+18310202442717482*x^7+16133633483066454*x^6+14210517882953859*x^5+8890952960162403*x^4+3748319491158198*x^3-2782006983690291*x^2+4723618405468968*x+3361163200438401,2437577982260*x^15+15251205800250*x^14+74131463255083*x^13+236577380726027*x^12+642062285301243*x^11+1375666960091741*x^10+2662601443569147*x^9+3920941383965558*x^8+5203085005053902*x^7+4853855741833287*x^6+4587739267425093*x^5+2908496502546633*x^4+2198623198767579*x^3+228061336170852*x^2+1286912669947911*x+1787473724093460,-20998655433229*x^15-118792506968427*x^14-567058413285527*x^13-1710480975626041*x^12-4553249237245506*x^11-9353275365383839*x^10-17865317822499090*x^9-24434711808597046*x^8-32277113915432539*x^7-26318201636035530*x^6-25422861269681034*x^5-13616875753107696*x^4-7021028966434506*x^3+7726827215624814*x^2-11865818371543983*x-3266760278506968,-3672576228238*x^15-26404218790472*x^14-130400395163918*x^13-448227629914970*x^12-1240669411051346*x^11-2817414080570386*x^10-5525609864837519*x^9-8853926050002316*x^8-11775570485736510*x^7-12702287118214097*x^6-10628662950949227*x^5-8467716983768013*x^4-3910385667022632*x^3+2405172667545*x^2+455695301791566*x-4158826899998085,-9430360992879*x^15-53037237147080*x^14-254303000039727*x^13-767264827521655*x^12-2052788488737257*x^11-4225414168430769*x^10-8105911048720466*x^9-11109025921283169*x^8-14800660310120261*x^7-11994760379650172*x^6-11643472784455893*x^5-5919147503571495*x^4-3351435858729972*x^3+2754294342725673*x^2-5987758048701633*x-834474735087786,461974751397*x^15+3283659053376*x^14+17025872149143*x^13+59383201301562*x^12+168752267778651*x^11+380748566972142*x^10+738899576518596*x^9+1128578849854029*x^8+1415828438687247*x^7+1140481972918689*x^6+393040577855448*x^5-460295683973064*x^4-1001994932540421*x^3-1405554460641504*x^2-1122154924985190*x-744575480391942,21634309178957*x^15+125458333117577*x^14+598786566194197*x^13+1830546604543854*x^12+4869951105860675*x^11+10096644601118081*x^10+19220525953555529*x^9+26699487945289841*x^8+34744517297830129*x^7+29240126806167350*x^6+26543125800599973*x^5+15984923685792426*x^4+7489784024602317*x^3-5919479391012984*x^2+11061668757180294*x+6208740083533725,2749050027315*x^15+11041516060187*x^14+46232514735756*x^13+87710245250512*x^12+161040846163700*x^11+42396720160065*x^10-200211533649595*x^9-1703831473033398*x^8-2975862652308370*x^7-5975682660679477*x^6-5215917895594560*x^5-5403054176755017*x^4-3029784320149452*x^3-2245024101966570*x^2+2793735641370780*x+190054709711172,-22208062959237*x^15-125310755333961*x^14-595369812478200*x^13-1782806789988750*x^12-4702430784575988*x^11-9530385181448691*x^10-17944707668044086*x^9-23788209875477268*x^8-30327097729171683*x^7-22143881370425823*x^6-19945818892191006*x^5-8280739925674686*x^4-3384656137133847*x^3+9004383386465427*x^2-12849263770318353*x-4371594450587829,-4818100293519*x^15-24866207162733*x^14-117480912951786*x^13-334188936821865*x^12-879259176990657*x^11-1728114156626751*x^10-3300102445694016*x^9-4185056148866442*x^8-5776892628410160*x^7-4253874234570159*x^6-5182315031571807*x^5-3146319119520477*x^4-1736260123167234*x^3-94073976202950*x^2-2916038660246433*x-611569140021117,-3017393907601*x^15-17367862807902*x^14-81459312490880*x^13-244924375522111*x^12-642505286466864*x^11-1316517291758101*x^10-2511693008785494*x^9-3474760313396245*x^8-4633820300472367*x^7-4227024716918463*x^6-4717152061365672*x^5-3483136029048903*x^4-3091690173592125*x^3+1212643302390891*x^2-3487380246911241*x-706951601570331,31473829834824*x^15+181224190326468*x^14+867327254097945*x^13+2644477302962835*x^12+7055564697252354*x^11+14601790195601340*x^10+27875121762658521*x^9+38567178674750100*x^8+50548079868964755*x^7+41795281701975558*x^6+38720892474573345*x^5+20848585650942582*x^4+10303663436086050*x^3-11416322370061440*x^2+16416260049050856*x+6688702396923768,-13556541181055*x^15-75782315225453*x^14-360604395283027*x^13-1078429931133066*x^12-2856341411411975*x^11-5810486835840113*x^10-11023572264123671*x^9-14753971531739954*x^8-19235671689165727*x^7-14725658472235400*x^6-13798065059551731*x^5-6409048696809507*x^4-2976757239885723*x^3+5669726465813751*x^2-7942055848573950*x-2707691376346227,16140814639211*x^15+87601160861616*x^14+417382121812909*x^13+1228628580778073*x^12+3262095706403040*x^11+6572277362646290*x^10+12547896847694700*x^9+16534793772974720*x^8+22105901003817725*x^7+16525558405914789*x^6+17160092679214431*x^5+7528123205348247*x^4+4204279718328402*x^3-5242401533505852*x^2+9420771213930384*x+434356612222590,275392891742*x^15+1318102492344*x^14+6811604225671*x^13+18343091538530*x^12+53754795952881*x^11+101928499576139*x^10+230017157414763*x^9+300388643182637*x^8+581314776648230*x^7+466157858549517*x^6+1164978090512298*x^5+579404621867046*x^4+1425694193652159*x^3-418358299099275*x^2+34231973355729*x+159569196816015,-16105829319604*x^15-92914111163823*x^14-442590784659068*x^13-1344604487906998*x^12-3562892526476961*x^11-7327232227979554*x^10-13890635947064217*x^9-19030625419493227*x^8-24618960080264695*x^7-20008857593426085*x^6-18594809058219816*x^5-10909880525914191*x^4-6229472124642183*x^3+4966676172648666*x^2-8399380249135746*x-4794024191424507,-1251936728087*x^15-7716787632057*x^14-38270506911553*x^13-122297176923851*x^12-330937188054981*x^11-691573562670014*x^10-1276615712928189*x^9-1722807961111769*x^8-1999528384199741*x^7-1164158104356912*x^6-234486089439927*x^5+318797180968260*x^4+121037773863402*x^3-932985363108654*x^2-371136319192845*x-71301193307343,-730000579858*x^15-6107558874885*x^14-32834373241394*x^13-121672172339131*x^12-358330980469617*x^11-850217587216798*x^10-1737109179487626*x^9-2944554723420448*x^8-4211268111189238*x^7-4788768326952057*x^6-4681657152730941*x^5-3907857036966885*x^4-3643116527366685*x^3-2102704150552326*x^2+1103075453763522*x-1262846531596140,-4522994339629*x^15-20736182296041*x^14-97323933729341*x^13-255447551936263*x^12-673152599167146*x^11-1251079855386613*x^10-2462779800684480*x^9-2819987357736679*x^8-4515398595977335*x^7-3062815097012946*x^6-5545369158016557*x^5-2986983137557782*x^4-3612033882212175*x^3-548179864011558*x^2-6601171147028208*x+1376899369358157,22062562543235*x^15+134418439776795*x^14+651379562169964*x^13+2067331603955684*x^12+5615277277432200*x^11+12077465234395481*x^10+23464013093418750*x^9+34738941474136193*x^8+46642285548724148*x^7+44755049102143815*x^6+40967979227425512*x^5+28233067146160020*x^4+14629695450747966*x^3-2018932439329134*x^2+10025295592383045*x+6613777102805829,15633250397088*x^15+89614795965720*x^14+430262526213210*x^13+1314405513234846*x^12+3530834434913775*x^11+7365108045247998*x^10+14226644656934592*x^9+20067464773799304*x^8+27119536568815116*x^7+24010954265081571*x^6+24022436999432643*x^5+15332473211697171*x^4+10142146496459826*x^3-1210750088395122*x^2+12729088246768668*x+5390254323112131,6666016323397*x^15+34908671043248*x^14+166368588172346*x^13+481301646788783*x^12+1281685560273290*x^11+2568418033502818*x^10+4962845864326511*x^9+6554112125845222*x^8+9225467134257111*x^7+7530040840191860*x^6+9109246669343211*x^5+6434455159106532*x^4+5077237983710454*x^3+1959167132183952*x^2+6256103796478035*x+1280093499120546,-4550284080898*x^15-22581856700472*x^14-100937587913351*x^13-263237557908514*x^12-627124846977159*x^11-1048888769464456*x^10-1731665699888484*x^9-1229684985351532*x^8-964450124469658*x^7+1648829579680407*x^6+687845760081753*x^5+574440414164817*x^4-1464389662933899*x^3+794846841141069*x^2-6579319143245976*x+211124248439760,3611736361674*x^15+21912153572158*x^14+106267886119230*x^13+333941660744801*x^12+905278368614470*x^11+1918631816025942*x^10+3724437809897161*x^9+5380194684152505*x^8+7214185761508267*x^7+6401606662535680*x^6+6247803793501599*x^5+3246775262469342*x^4+3055319873555265*x^3-2027020749644196*x^2+2627060450290110*x+1084322751053706,-11294499602008*x^15-68162543397645*x^14-330796171469870*x^13-1042912541079217*x^12-2835304684738161*x^11-6063219197633914*x^10-11817809644983825*x^9-17390026570416919*x^8-23635592912551711*x^7-22488704424718572*x^6-22038335245007520*x^5-15106761203349186*x^4-10373824049439393*x^3+495798015695157*x^2-6026913989625492*x-5304954324304296,-11247566194986*x^15-56899032335730*x^14-267378308450451*x^13-743404257519486*x^12-1929780267945834*x^11-3650736779102568*x^10-6789203060487912*x^9-7659594612174999*x^8-9765926727958140*x^7-3340497894489924*x^6-3620144805886572*x^5+4651224441581907*x^4+5230612853919234*x^3+10695811667470452*x^2-5876442983991645*x+3079259361206820,1533222913991*x^15+8030553637017*x^14+39478511344702*x^13+112022384769644*x^12+298498985952825*x^11+556561966913873*x^10+1031460988287489*x^9+1110539851824176*x^8+1381186790899544*x^7-5001944638620*x^6+407531007742512*x^5-934365767446629*x^4+876503793580092*x^3+210014155633176*x^2-116666009650476*x-43982510142294,4274335684929*x^15+22869571545503*x^14+108461790361521*x^13+316630552064377*x^12+841279705060409*x^11+1704166541859192*x^10+3309476597382251*x^9+4510702048751199*x^8+6395401386019265*x^7+5753795327337713*x^6+6977172228194220*x^5+5298768826134240*x^4+3834411425392248*x^3+451747824915888*x^2+2391618071147445*x+326214427792833,-8969600286717*x^15-50747811721302*x^14-246057518702412*x^13-753538892710872*x^12-2053345858133595*x^11-4337037860049129*x^10-8550898715763030*x^9-12433741911613389*x^8-17676756136970100*x^7-17093402639122203*x^6-18763288566604233*x^5-14019226611564258*x^4-10132299294216912*x^3-2012624384785245*x^2-6313822055644050*x-885543270349842,789858227693*x^15+4754945372868*x^14+21926630088775*x^13+63665523964292*x^12+149359772346234*x^11+248176137457871*x^10+319742876116497*x^9+66348709472762*x^8-585964289905114*x^7-1901324909497539*x^6-2884942902432792*x^5-2795947783997445*x^4-1295515956267792*x^3-625171171437045*x^2-845797770453375*x+397276357696839,-3258403883762*x^15-17518659147531*x^14-84374483202268*x^13-248008695018380*x^12-669212839224096*x^11-1345358802997352*x^10-2605363645554291*x^9-3366381866889323*x^8-4560981220223000*x^7-2916485989133379*x^6-3133196121352425*x^5+665276684609223*x^4-1209605146215732*x^3+1497087488871027*x^2-5135962532121648*x-2644348948302537,-6296899303320*x^15-30790059084969*x^14-145848751169280*x^13-393966453182574*x^12-1022057902220367*x^11-1858803949895397*x^10-3443524677670428*x^9-3537279781386921*x^8-4649762247141651*x^7-537835163973444*x^6-2162916842772777*x^5+2107049222748210*x^4+108896044807458*x^3+2879730212480379*x^2-2342542607813070*x+1135475129627226,-29437977181951*x^15-172108702285489*x^14-826823029908923*x^13-2547403562171922*x^12-6827379915049045*x^11-14261799491528740*x^10-27323209816307959*x^9-38426802878273782*x^8-50468539347330323*x^7-42963716533174033*x^6-38917404299264268*x^5-21286651758197775*x^4-9001481623396893*x^3+11717750537268570*x^2-13104211860755082*x-6635210398434180]];
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