\documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{url} \urlstyle{same} \def\ul{\underline} \def\ov{\overline} \begin{document} \begin{center}{\Large Annotated Examples 7}\end{center} \begin{center}{\large Leonard 2009 }\end{center} This is the example used in Leonard 2009 in char 2 to show that the P-module generating set need not be a P-module basis, given that there is a non-trivial P-linear dependence among the generators. (In the char 0 version there are two such.) $I_6$ in Normalization of rings is a poorly stated version of this. Consider this using normal in SINGULAR 3-1-0: [Note that the denominator is in terms of the most dependent variable,z, rather than in terms of the independent variables, x2,x1; and that the T(i)'s should probably be reversed in order in general, given that the earlier they are generated (higher i), the less likely they are to be necessary, given that they rate to have a smaller denominator. Here T(6),T(5),T(4) should be considered unnecessary.] \begin{verbatim} intmat A[5][5]=1,1,1,0,0,1,1,0,0,0,1,0,0,0,0,19,15,12,9,9,12,9,9,9,0; > ring r=2,(z,y1,y2,x2,x1),M(A); > ideal i=y1^2+y2*x2*x1, y2*y1+y1+x2^2*x1+x2*x1^2, y2^2+y2+y1*(x2+x1), z^3+(y2+y1)*(x2+1)*x1*z+(y2*(x2*x1+1)+y1*(x2+x1))*x2^2*x1; > list nor=normal(i); > nor; [1]: [1]: // characteristic : 2 // number of vars : 12 // block 1 : ordering dp // : names T(1) T(2) T(3) T(4) T(5) T(6) T(7) // block 2 : ordering M // : names z y1 y2 x2 x1 // : weights 1 1 1 0 0 // : weights 1 1 0 0 0 // : weights 1 0 0 0 0 // : weights 19 15 12 9 9 // : weights 12 9 9 9 0 // block 3 : ordering C [2]: [1]: _[1]=z*y1^2*y2+z*y1^2*x2+z*y1^2+z*y1*x2*x1^2 _[2]=z*y1^2*x2+z*y1*y2*x2^2+z*y1*x2^3+z*y1*x2^2 _[3]=z*y1^2*x2^2+z*y1^2*x2+z*y1*x2^3+z*y1*x2^2 _[4]=z*y1^2*y2*x2+z*y1^2*x2*x1+z*y1*x2^3+z*y1*x2^2 _[5]=z*y1^3*x2+z*y1^2*x2*x1+z*y1*x2^3+z*y1*x2^2 _[6]=z*y1^4+z*y1^3*y2+z*y1^3+z*y1^2*x2*x1 _[7]=z*y1^2*x2+z*y1^2+y1^3*x2^3+y1^3*x2+z*y1*y2+z*y1*x2^2+z*y1*x1+z*y1+y1^2*x2^4+y1^2*x2^2 _[8]=z^2 > def R=nor[1][1]; > setring R; > normap; normap[1]=z normap[2]=y1 normap[3]=y2 normap[4]=x2 normap[5]=x1 > norid; norid[1]=T(1)*x1+T(1)+T(2)*x1+T(4)+T(5) norid[2]=T(3)*x1+T(4)*x1+T(6) norid[3]=T(1)*x2+T(1)*x1+T(3)+T(4) norid[4]=T(1)*y2+T(4)+T(5) norid[5]=T(1)*x1+T(1)+T(2)*y2+T(2)*x2+T(3)*x2+T(3)*x1 norid[6]=T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)*y2+T(3)*x1+T(3)+T(4)*x2 norid[7]=T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)+T(4)*y2+T(5)*x2+T(5)*x1+T(6) norid[8]=T(1)*y1+T(1)*x1+T(1)+T(3)*x1+T(4)+T(5) norid[9]=T(1)*x1+T(1)+T(2)*y1+T(3)*x2+T(3)*x1+T(4)*x2+T(4)+T(5) norid[10]=T(1)*x1+T(1)+T(3)*y1+T(3)*x2+T(3)*x1+T(4)+T(5)*x2+T(5) norid[11]=T(2)*x2+T(2)+T(3)*x2+T(3)*x1+T(3)+T(4)*y1+T(5)*y2+T(5)*x1+T(6) norid[12]=T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)*x2+T(3)+T(4)+T(5)*y1+T(5)*y2+T(5)*x1+T(5)+T(6)*x2+T(6) norid[13]=T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)*x2*x1+T(3)*x1^2+T(3)*x1+T(4)*x2+T(5)*y2+T(5)+T(6) norid[14]=T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)*x1+T(4)*x2+T(5)*y2+T(5)*x2*x1+T(5)*x1^2+T(5)+T(6)*y2+T(6)*x2+T(6)*x1+T(6) norid[15]=T(2)*x2+T(2)+T(3)*x1+T(3)+T(5)*y2*x1+T(5)*y2+T(5)*x2+T(5)*x1+T(6)*y1+T(6)*y2+T(6)*x2+T(6) norid[16]=T(1)*x1+T(1)+T(3)*x1+z^2+y1^2+y1*x2*x1+y1*x1+y2*x1 norid[17]=T(1)*x1^2+T(1)*x1+T(2)*z+T(2)*x2^3+T(2)*x2^2+T(2)*x2+T(2)+T(3)*x1^3+T(3)*x2^2+T(3)*x1^2+T(3)*x1+T(3)+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*y2*x2^2+T(5)*y2+T(5)*x1^3+T(5)*x1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x1^2+T(6)+T(7)*z*y2+T(7)*z*x1+z^2*x1+y1^2*x1+y1^2+y1*x1+y2*x1^2 norid[18]=T(1)*z^2+T(1)*z*x1^2+T(1)*z*x1+T(1)*x1^3+T(1)*x1^2+T(2)*z^2+T(2)*z*x2+T(2)*z+T(2)*x2+T(2)+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x2+T(3)*z+T(3)*x1^2+T(3)+T(5)*z*y2+T(5)*z*x2^2+T(5)*y2+T(5)*x1^3+T(5)*x1^2+T(5)*x2+T(6)*y1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^2+T(6)*x1^2+T(6)*x2+T(6)*x1+T(7)*z^2+T(7)*y1^2+T(7)*y1*y2+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2 norid[19]=T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(1)+T(2)*x2^2+T(2)*x2+T(3)*z+T(3)*x2^3+T(3)*x1^3+T(3)*x2^2+T(3)*x2+T(3)*x1+T(5)*y2*x2+T(5)*x2^3+T(6)*y1+T(6)*y2+T(7)*z*x2+z^2+y1^2+y1*y2*x2+y1*x2^2+y1*x2+y1*x1+y2*x1 norid[20]=T(1)*x1^2+T(1)*x1+T(2)*x2+T(2)+T(3)*x2^2+T(3)*x1^2+T(3)*x2+T(3)+T(5)*y2+T(5)*x2^2+T(7)*z+y1^2*x2+y1^2+y1*y2+y1*x2^2+y1*x1+y1 norid[21]=T(1)+T(3)*x1+T(4)+T(5)+T(7)*x1+z*y1*x2+z*y2+z*x2*x1+z norid[22]=T(1)*z+T(1)*x1^2+T(1)*x1+T(2)*x2+T(2)+T(3)*x1^2+T(3)+T(4)*x2+T(4)+T(5)*y2+T(5)+z^2*x2+z^2+y1*x1+y2*x1 norid[23]=T(1)*z^2*x1+T(1)*z^2+T(1)*x1+T(1)+T(2)*z^2*x2+T(2)*z^2+T(2)*z+T(3)*x1^3+T(4)*z^2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)*x2+T(5)*x1+T(5)+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^3+T(6)*x2^2+T(6)*x1^2+T(6)+T(7)*y1^2*x2+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*z*x1+T(7)*y1+T(7)*y2*x2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*x1+y1^2*x1+y1^2+y1*x1+y2*x1^2 norid[24]=T(1)*z+T(2)*x2+T(2)+T(3)*x2^2+T(3)*x2+T(3)+T(5)*y2+T(5)*x2^2+T(7)*z+y1^2*y2+z^2*x1+y1^2*x1+y1*y2+y1*x2^2+y1*x1^2+y1*x1+y1+y2*x1^2 norid[25]=T(1)*z^2+T(1)*x1^2+T(1)*x1+T(2)*z^2+T(2)*x2^2+T(2)*x2+T(3)*x2+T(4)*x2+T(5)*y2*x2+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(6)*y2+T(6)*x2^2+T(6)*x1+T(7)*y1^2+T(7)*y1*y2+T(7)*y1*x1+T(7)*y2*x1+z*y1*y2+z*y2^2+z*y1+z*y2 norid[26]=T(1)*z+T(1)*x1^3+T(1)+T(2)*z+T(2)*x2^2+T(2)+T(3)*z+T(3)*x1^3+T(3)*x2^2+T(3)*x1^2+T(3)+T(4)*z+T(4)*x2^3+T(4)*x2+T(4)+T(5)*z+T(5)*y2*x2+T(5)*y2+T(5)*x2^3+T(5)*x2+T(5)*x1+T(5)+T(6)*y1+T(6)*y2+T(6)*x2^3+T(6)+T(7)*z*y1+T(7)*z*y2+T(7)*z+z^2*y2+y1*y2^2+z^2*x1+z^2+y1^2+y1*x2^2+y1+y2*x2*x1+y2*x1^2 norid[27]=T(1)*x1^3+T(1)*x1+T(2)*z+T(2)*x2^2+T(2)+T(3)*z+T(3)*x1^3+T(3)*x1^2+T(3)*x2+T(3)+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*z+T(5)*y2*x2+T(5)*y2+T(5)*x2^3+T(5)*x2^2+T(6)*y1+T(6)*y2+T(6)*x2^3+T(6)*x2+T(7)*z*y1+T(7)*z*y2+y1^3+y1*y2^2+y1^2*x1+y1*y2*x1+y1*y2+y2*x2*x1 norid[28]=T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(1)+T(2)*x2^2+T(2)*x2+T(3)*z^2+T(3)*x1^2+T(3)*x2+T(3)*x1+T(4)*x2+T(4)+T(5)*y2*x2+T(5)*x1^3+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)+T(6)*y1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+z*y1^2+z*y2^2+z*y1*x1+z*y2*x2+z*y2*x1+z*y2+z*x2+z*x1 norid[29]=T(1)*z+T(1)*x1^2+T(1)+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z+T(3)*x1^3+T(3)*x2^2+T(4)*z+T(4)*x2^3+T(4)*x2+T(4)+T(5)*z+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^3+T(5)*x1^2+T(5)*x1+T(5)+T(6)*y2*x2+T(6)*y2*x1+T(6)*y2+T(6)*x2^3+T(6)*x2^2+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*z*y1+T(7)*z*y2+T(7)*z*x1+T(7)*z+z^2*y1+y1*y2^2+y1^2*x1+y1^2+y1*y2*x1+y1*x2^2+y1*x1^2+y1+y2*x2*x1 norid[30]=T(1)*z+T(1)*x1^4+T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z*x1+T(3)*z+T(3)*x2^2+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*z+T(5)*y2*x2+T(5)*x1^4+T(5)*x2^3+T(5)*x1^2+T(6)*y1*y2+T(6)*y1*x2+T(6)*y1*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x2+T(6)*y2*x1+T(6)*y2+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x1^3+T(6)*x2^2+T(6)*x2+T(6)*x1+T(7)*z*y1+T(7)*z*y2+T(7)*z*x2*x1+T(7)*z+y1*y2^2+z^2*x1+y1^2+y1*y2*x1+y2^2*x1+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1^2+y2*x1 norid[31]=T(1)*z^2+T(1)*z*x1^3+T(1)*z*x1+T(1)*x1^3+T(1)*x1^2+T(2)*z+T(2)*x2^2+T(2)+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*x1^3+T(3)*x1^2+T(3)*x2+T(3)+T(4)*z^2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(5)*z^2+T(5)*z*x1^3+T(5)*z*x1+T(5)*y2*x2+T(5)*y2+T(5)*x2^3+T(5)*x1^2+T(6)*z*y1+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*z*y2+T(6)*z*x2^2+T(6)*z*x1^2+T(6)*z*x2+T(6)*z+T(6)*y1*x2+T(6)*y2*x2^2+T(6)*y2+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2*x1+T(6)*x1+T(7)*y1^2*y2+T(7)*y1*y2^2+T(7)*z^2*x1+T(7)*y1^2*x2+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*y2^2*x1+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y2*x1^2+T(7)*y2*x1+z^2*x1+y1^2*x1+y1^2+y1*x1+y2*x1^2 norid[32]=T(1)*z+T(1)*x1^3+T(1)*x1^2+T(2)*x2+T(2)+T(3)*z^2*x2+T(3)*z^2+T(3)*z*x1+T(3)*z+T(3)*x2^2+T(3)*x1^2+T(3)*x2+T(3)*x1+T(3)+T(4)*x2^2+T(5)*z+T(5)*y2+T(5)*x1^3+T(5)*x1^2+T(5)*x1+T(6)*y1^2+T(6)*y1*y2+T(6)*y2*x2*x1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*y1^2*y2+T(7)*y1*y2^2+T(7)*z*y1+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*y1^2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y1*y2+T(7)*y2^2*x1+T(7)*z*x2*x1+T(7)*z*x1+T(7)*z+T(7)*y1*x2*x1^2+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1*x1+T(7)*y2*x1+T(7)*x2^2*x1^2+T(7)*x2*x1^3+y1*y2^2+y1^2*x1+y1*y2*x1+y2^2*x1+y1*x2^2+y1+y2*x2*x1+y2*x1 norid[33]=T(1)*z*x1+T(1)*z+T(1)*x1^3+T(1)*x1^2+T(1)+T(2)*x2^2+T(2)*x2+T(3)*z^2+T(3)*z*x1+T(3)*x2+T(4)*x2+T(4)+T(5)*y2*x2+T(5)*x1^3+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)*x1+T(5)+T(6)*y1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x1^2+T(6)*x2+T(6)*x1+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+z^3+z*y2^2+z*y2*x2+z*y2*x1+z*y2+z*x2*x1^2+z*x2 norid[34]=T(2)*z^2+T(2)*z+T(3)*z^2*x1+T(3)*x1^3+T(3)*x1+T(4)*z^2*x2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(5)*z^2+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)*x1+T(6)*y1*x2^2+T(6)*y2*x1+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*y1^3+T(7)*y1*y2^2+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*y2^2*x1+T(7)*z*x1+T(7)*y1+T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x1^3+z*y2^2+z^2*x1+z*y1*x1+y1^2*x1+y1^2+z*y2*x1^2+z*y2+z*x2*x1+z*x1^2+y1*x1+y2*x1^2 norid[35]=T(1)*z^3+T(1)*z^2+T(1)*z*x1+T(1)*z+T(1)*x1^2+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*z+T(3)*x1+T(4)*z*x2+T(4)*z+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*z+T(5)*x1^2+T(5)+T(6)*y1^2+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*y1*y2+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x2+T(6)*y2+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x2*x1+T(6)*x1+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*z^2+T(7)*y1^2+T(7)*z*y2*x1+T(7)*y1*y2+T(7)*z*x2*x1+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1^2*x1^2+y1*y2*x1^2+y1*y2*x1+y2^2*x1^2+y2^2*x1+y1*x1^3+y1*x1+y2*x2*x1^2+y2*x1^2+y2*x1 norid[36]=T(1)*z*x1+T(1)*z+T(1)*x1^3+T(1)*x1^2+T(2)*z^2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^2*x1+T(3)*z*x1+T(3)*x1^3+T(3)*x1^2+T(3)*x2+T(4)*z^2*x2+T(4)*z^2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(5)*z^2+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^2+T(5)*x2+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y1+T(6)*y2+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2+T(6)*x1+T(6)+T(7)*y1^3+T(7)*y1*y2^2+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y2^2*x1+T(7)*z*x1+T(7)*y1*x1^2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+z^3+z^2*x1+z*y1*x1^2+y1^2*x1+y1^2+z*y2*x2+z*x2+z*x1+y1*x1+y2*x1^2 norid[37]=T(1)*z^3+T(1)*z^2+T(1)*z+T(1)*x1^3+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*x2^2+T(2)*x2+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*x2^2+T(4)*z*x2+T(4)*z+T(4)*x2^3+T(4)*x2+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*z+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^3+T(5)*x1^2+T(5)*x1+T(5)+T(6)*y1^2+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x1+T(6)*y1*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2*x1+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*z^2+T(7)*z*y1+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2+T(7)*z*x1^2+T(7)*z*x1+T(7)*z+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^2+z^2*x1^2+z^2*x1+y1^2*x1+y1^2+y1*y2*x1^2+y2^2*x1^2+y1*x1^3+y1*x2^2+y1*x1^2+y1+y2*x2*x1^2+y2*x1^3+y2*x2*x1 norid[38]=T(1)*z^2*x1+T(1)*z^2+T(1)*z+T(1)*x1^3+T(1)*x1+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x1+T(3)*z+T(3)*x1^3+T(3)*x2^2+T(3)*x1^2+T(4)*z^2*x2+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*z^2*x2+T(5)*z^2+T(5)*z+T(5)*y2*x2+T(5)*x2^3+T(6)*y1^2+T(6)*y1*x2^2+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2+T(7)*z*y1+T(7)*y1^2*x2*x1+T(7)*y1^2*x1+T(7)*z*y2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x1+T(7)*z*x2*x1+T(7)*z+T(7)*y1*x1+T(7)*y2*x2*x1^2+T(7)*x2^2*x1^2+T(7)*x2*x1^3+y1*y2^2+z^2*x1+y1^2+y1*y2*x1+y2^2*x1+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1^2+y2*x1 norid[39]=T(1)*z+T(1)*x1^2+T(1)*x1+T(2)*z^2+T(2)*z*x2^2+T(3)*z^3+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z+T(3)*x1^3+T(3)*x1+T(4)*z^2+T(4)*z*x2+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(5)*z^2+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)*x1+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x2+T(6)*y2*x2^2+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2^2+T(6)*x1^2+T(6)*x1+T(6)+T(7)*y1^2*y2+T(7)*y1*y2^2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x2*x1+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y2^2*x1+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*x1+y1^2+y1*y2*x1^2+y1*y2*x1+y2^2*x1^2+y2^2*x1+y1*x1^2+y2*x2*x1^2+y2*x1 norid[40]=T(1)*z*x1^2+T(1)*z*x1+T(1)*x1^3+T(2)*z+T(2)*x2+T(2)+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x1^2+T(3)*x1^3+T(3)*x1+T(3)+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(5)*z^2+T(5)*y2+T(5)*x2^3+T(5)*x2^2+T(5)*x2+T(5)*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2*x1+T(6)*x1+T(7)*y1^2*y2+T(7)*y1*y2^2+T(7)*y1^2*x2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y2^2*x1+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y2*x2*x1+T(7)*x2*x1^2+T(7)*x1^3+T(7)*x2*x1+z^3*x1+z*y2^2*x1+z*y2^2+z^2*x1+y1^2*x1+y1^2+z*y2*x2*x1+z*y2*x2+z*y2*x1+z*y2+z*x2^2*x1+z*x2*x1+z*x1^2+z*x2+y1*x1+y2*x1^2 norid[41]=T(1)*z+T(1)*x1^4+T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(2)*x2+T(2)+T(3)*z*x2+T(3)*x2^4+T(3)*x1^4+T(3)*x2^3+T(3)*x1^3+T(3)*x1^2+T(3)*x1+T(3)+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*y2+T(5)*x2^4+T(5)*x1^3+T(5)*x1+T(6)*y1*x2+T(6)*y1*x1+T(6)*x1^2+T(6)+T(7)*z*y2+T(7)*z*x2^2+T(7)*z*x1+z^2*x1+y1^2*x1+y1*x1+y2*x2*x1+y2*x1^2 norid[42]=T(1)*z^3+T(1)*z^2+T(1)*z*x1+T(1)*x1^2+T(1)*x1+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z*x2+T(2)*z+T(2)*x2+T(2)+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)+T(4)*x2^4+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x1+T(5)*z+T(5)*y2+T(5)*x2^2+T(5)*x1^2+T(5)+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x1^2+T(6)*y1*x1+T(6)*y2*x2^2+T(6)*y2*x1+T(6)*x2^4+T(6)*x2^2*x1^2+T(6)*x2^2*x1+T(6)*x2^2+T(6)*x2*x1+T(6)*x2+T(6)*x1+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*z*y2^2+T(7)*z^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*y1*y2+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^2*x1+y1*y2^2+z^2*x1+z^2+y1^2+y1*y2*x1^2+y1*y2*x1+y1*y2+y2*x2*x1^2+y2*x2*x1+y2*x1^2+y2*x1 norid[43]=T(1)*z^3+T(1)*z^2+T(1)*z*x1+T(1)*x1^2+T(1)*x1+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)*x2^2+T(3)*x2+T(4)*z*x2+T(4)*z+T(4)*x2^4+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z*y2*x2+T(5)*z*x1^2+T(5)*z+T(5)*x1^2+T(5)+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*z*x2^2+T(6)*z*x1+T(6)*y1*x2^2+T(6)*y1+T(6)*y2*x2^3+T(6)*y2*x2+T(6)*y2+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2^2+T(6)*x2+T(6)*x1+T(7)*z*y1^2+T(7)*z*y2^2+T(7)*z^2+T(7)*y1^2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*y1*y2+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*z+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^2*x1+z^2+y1^2+y1*y2*x1+y1*y2+y1*x1^3+y1*x2^2+y1*x1+y1+y2*x2*x1^2+y2*x1 norid[44]=T(1)*z^3+T(1)*z^2+T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z*x2+T(2)*x2^2+T(2)*x2+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)*x1^3+T(3)*x1^2+T(3)*x2+T(3)*x1+T(4)*z*x2+T(4)*x2^4+T(4)*x2^2+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^2+T(5)+T(6)*z*y2+T(6)*y1*y2+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^3+T(6)*y1*x2+T(6)*y1*x1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x2+T(6)*x1+T(7)*z^2+T(7)*z*y1*x2+T(7)*z*y1+T(7)*y1^2+T(7)*z*y2*x2+T(7)*y1*y2+T(7)*z*x2^2+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*x1+y1*x1^2+y2*x1^2 norid[45]=T(2)+T(3)*x2+T(3)+T(4)*x2+T(4)+T(5)+T(7)*y2+z*y1+z*y2*x2+z*x2^3+z*x2^2*x1 norid[46]=T(1)*z^2+T(1)*z*x1+T(1)*z+T(1)*x1^2+T(1)*x1+T(2)*x2^2+T(2)+T(3)*z^2*x2+T(3)*z^2+T(3)*z*x2^3+T(3)*z*x2+T(3)*z*x1+T(3)*x1^2+T(3)*x2+T(3)+T(4)*z^2*x2+T(4)*z*x2^3+T(4)*z*x2+T(4)*x2+T(5)*z^2+T(5)*y2*x2+T(5)*y2+T(5)*x2^2+T(5)*x1^2+T(6)*z*x2^3+T(6)*z*x2+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y1+T(6)*y2*x2^2+T(6)*y2+T(6)*x1+T(7)*z^2*y1+T(7)*y1^3+T(7)*z^2*y2+T(7)*y1^2*y2+T(7)*z^2*x2+T(7)*z^2+T(7)*y1^2*x1+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1+T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x1^2+T(7)*x1+z^3+z*y2*x2*x1+z*y2+z*x2^2*x1+z*x2*x1+z*x1+z norid[47]=T(1)*x1+T(1)+T(3)*x1+T(4)*x2+T(4)+T(5)*x2+T(5)+T(7)*y1+z*y2^2+z*y1*x1+z*y2*x2^2+z*y2+z*x2^2+z*x2*x1 norid[48]=T(1)+T(2)*z^2+T(2)*z+T(2)*x2+T(2)+T(3)*z^2*x2+T(3)*z*x2^3+T(3)*z*x2+T(3)*x1^3+T(3)*x1+T(3)+T(4)*z^2*x2+T(4)*z*x2^3+T(4)*z*x2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*y2+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)+T(6)*z*y2^2+T(6)*z*y1*x1+T(6)*z*y1+T(6)*y1^2*x2+T(6)*z*y2*x2^2+T(6)*z*y2*x2+T(6)*z*y2+T(6)*y1*y2+T(6)*z*x2^2*x1+T(6)*z*x2^2+T(6)*z*x2*x1+T(6)*z*x2+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y1*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x1^2+T(7)*z^2*y1+T(7)*y1^3+T(7)*z^2*y2+T(7)*y1^2*y2*x1+T(7)*y1^2*y2+T(7)*y1*y2^2*x1+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2+T(7)*y1^2*x2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y2^2*x1^2+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1*x1+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x1^2+T(7)*x1+z*y2^2+z^2*x1+z*y1*x1+y1^2*x1+y1^2+z*x2*x1+z+y1*x1+y2*x1^2 norid[49]=T(1)*z^3+T(1)*z^2+T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z*x2+T(2)*x2^2+T(2)*x2+T(3)*z^3+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)*x1^3+T(3)*x1^2+T(3)*x2+T(3)*x1+T(4)*z^3+T(4)*z*x2+T(4)*x2^4+T(4)*x2^2+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^2+T(5)+T(6)*y1^3+T(6)*z*y1*x2+T(6)*z*y1+T(6)*y1^2*x2^2+T(6)*y1^2*x2+T(6)*z*y2*x2+T(6)*y1*y2*x2*x1+T(6)*y1*y2+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^2*x1+T(6)*y1*x2+T(6)*y1*x1+T(6)*y2*x2^2*x1+T(6)*y2*x2^2+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x2+T(6)*x1+T(7)*z^2+T(7)*z*y1*x2+T(7)*z*y1+T(7)*y1^2+T(7)*z*y2*x2+T(7)*y1*y2+T(7)*z*x2^2+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*x1+y1*x1^2+y2*x1^2 norid[50]=T(1)*z^2*x1+T(1)*x1+T(1)+T(2)*x2+T(2)+T(3)*z^2*x2+T(3)*z^2+T(3)*z*x2^3+T(3)*z*x2+T(3)*x1+T(3)+T(4)*z^2+T(4)*z*x2^3+T(4)*z*x2+T(4)*x2+T(4)+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z^2+T(5)*y2+T(5)+T(6)*z*y1^2+T(6)*z*y1*y2+T(6)*z*y2^2*x1+T(6)*z^2*x2+T(6)*z^2+T(6)*z*y1*x2^2+T(6)*z*y1*x2*x1+T(6)*z*y1*x1^2+T(6)*z*y2*x2*x1+T(6)*z*y2*x1+T(6)*y1*y2*x2+T(6)*y2^2*x2+T(6)*y2^2+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*y1*x2^2*x1+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y1*x1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2^2+T(7)*z^2*y1+T(7)*y1^3*x1+T(7)*y1^3+T(7)*z^2*y2*x1+T(7)*z^2*y2+T(7)*y1^2*y2+T(7)*y1*y2^2*x1+T(7)*y2^3*x1+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2*x1+T(7)*z^2+T(7)*y1^2*x2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y2^2*x2*x1+T(7)*y1*x2^2*x1+T(7)*y1*x1^2+T(7)*y1*x2+T(7)*y1+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+z*y2^2*x1+z*y2^2+z*y2*x1+z*y2 norid[51]=T(1)*z^3+T(1)*z^2*x1+T(1)*z^2+T(1)*z*x1+T(1)*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z*x2^2+T(2)*z*x2+T(2)*z+T(3)*z^2*x2^2+T(3)*z^2*x1^2+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x2+T(3)*z*x1+T(3)*x1^2+T(4)*z^2+T(4)*z+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z*y2*x2+T(5)*z*x1^2+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)*x1+T(5)+T(6)*z^2+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*z*x2^2+T(6)*z*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2^2+T(6)*x1+T(7)*z*y1^2+T(7)*y1^3+T(7)*y1^2*y2*x2+T(7)*y1^2*y2+T(7)*z*y2^2+T(7)*y1*y2^2*x2+T(7)*z^2+T(7)*z*y1+T(7)*y1^2*x2^2+T(7)*y1^2*x2+T(7)*y1^2+T(7)*z*y2*x1+T(7)*y1*y2*x2^2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*y2^2*x2*x1+T(7)*y2^2*x1+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1*x2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x2^2*x1+T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x2^2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+z^3+y1*y2^2*x1+y1*y2^2+z^2*x1+y1^2+z*y2*x2+z*y2*x1+y1*y2*x1+y1*y2+y2^2*x1+z*x2^2*x1+z*x2+y1*x1^3+y1*x1+y2*x1^2+y2*x1 norid[52]=T(1)*z^3+T(1)*x1+T(1)+T(2)*z^3+T(2)*z*x2^2+T(3)*z^2*x1^2+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x2+T(3)*z*x1+T(3)*x2^2+T(3)*x1^2+T(3)*x2+T(3)*x1+T(4)*z^2*x2^2+T(4)*z^2*x2+T(4)*z+T(5)*z^2*y2+T(5)*z^2+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*z+T(5)*x2^2+T(5)*x2+T(6)*z^2+T(6)*z*y2+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x2+T(6)*z*x1+T(6)*z+T(6)*y1*x2+T(6)*y1*x1+T(6)*y2*x2^2+T(6)*y2+T(6)*x2^3*x1+T(6)*x2+T(7)*y1^3*x2+T(7)*y1^3+T(7)*y1^2*y2+T(7)*y1*y2^2*x2+T(7)*z^2+T(7)*z*y1*x2+T(7)*y1^2*x2^2+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2*x2^2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y1*y2+T(7)*y2^2*x2*x1+T(7)*y2^2*x1+T(7)*z*x1+T(7)*z+T(7)*y1*x2^2*x1+T(7)*y1*x1^2+T(7)*y1*x1+T(7)*y2*x2^2*x1+T(7)*y2*x2*x1^2+T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x1^2+T(7)*x1+z^3+y1*y2^2+z^2*x1+z^2+y1^2*x1+y1^2+z*y2*x2*x1+z*y2+y2^2*x1+z*x2^2*x1+z*x2*x1+z*x1+z+y1*x2^2+y1*x1^2+y1*x1+y1+y2*x2*x1^2+y2*x1^2 norid[53]=T(1)*z^2*x1^2+T(1)*z^2+T(1)*z*x1^2+T(1)*x1^3+T(1)*x1^2+T(1)*x1+T(2)*z^2+T(3)*z^2*x2^2+T(3)*z^2+T(3)*z*x2^3+T(3)*z*x2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)*x1^3+T(3)*x1+T(4)*z^2*x2^2+T(4)*z^2*x2+T(4)*z*x2^3+T(4)*z*x2+T(4)*z+T(4)*x2^4+T(4)*x2^2+T(4)*x2+T(5)*z^2*y2+T(5)*z^2*x1^2+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*z^2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z+T(5)*x2^3+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)*x1+T(6)*z*y1^2+T(6)*z^2*y2+T(6)*z*y1*y2+T(6)*z*y2^2*x2+T(6)*z*y2^2+T(6)*z^2*x2+T(6)*z^2*x1+T(6)*z^2+T(6)*z*y1*x2*x1+T(6)*z*y1*x2+T(6)*z*y1*x1+T(6)*y1^2*x2+T(6)*z*y2*x2*x1+T(6)*z*y2*x2+T(6)*y1*y2*x2^2+T(6)*y1*y2*x2+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*z*x2+T(6)*z*x1+T(6)*z+T(6)*y1*x2*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2*x1+T(6)*x2+T(6)*x1+T(6)+T(7)*y1^3*y2+T(7)*y1^2*y2^2+T(7)*z^3+T(7)*z^2*y1+T(7)*z*y1^2+T(7)*y1^3*x1+T(7)*y1^3+T(7)*z^2*y2*x1+T(7)*z^2*y2+T(7)*z*y1*y2+T(7)*y1^2*y2+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x2+T(7)*z*y1+T(7)*y1^2*x1^2+T(7)*y1^2*x2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*y1*y2*x1^2+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y2^2*x2*x1+T(7)*y2^2*x1^2+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x1^2+T(7)*y1*x2+T(7)*y1+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x2^2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x1^2+z*y2^3+z^3+z*y2^2*x2+z*y2^2*x1+z*y2^2+z^2*x1+z*y1*x1+y1^2*x1+z*y2*x2*x1+z*y2*x2+z*y2*x1+y1*y2*x1^2+y1*y2*x1+y2^2*x1^2+y2^2*x1+z*x2^2*x1+z*x1+y1*x1+y2*x2*x1^2+y2*x1 norid[54]=T(1)*z*x1^2+T(1)*z*x1+T(1)*z+T(1)*x1^3+T(1)*x1+T(2)*z+T(2)*x2^2+T(2)+T(3)*z^3*x2+T(3)*z^3*x1+T(3)*z^3+T(3)*z^2*x2+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x2+T(3)*x2^4+T(3)*x2^3+T(3)*x2+T(3)+T(4)*z^2+T(4)*z*x2^2+T(4)*x2^4+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*z^2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z+T(5)*y2*x2+T(5)*y2+T(5)*x1^3+T(5)+T(6)*y1^3+T(6)*y1^2*y2+T(6)*z*y2^2+T(6)*y1*y2^2*x2+T(6)*y1*y2^2+T(6)*z*y1*x1+T(6)*y1^2*x2*x1+T(6)*y1^2*x2+T(6)*z*y2+T(6)*y1*y2*x2*x1+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y2^2*x2+T(6)*z*x2^2*x1+T(6)*z*x2^2+T(6)*y1*x2^2*x1+T(6)*y1*x2*x1^2+T(6)*y2*x2*x1^2+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2*x1^3+T(6)*x1^2+T(6)*x2+T(6)+T(7)*z*y1^2*y2+T(7)*z*y1*y2^2+T(7)*z^2*y1+T(7)*z*y1^2*x2+T(7)*z*y1^2*x1+T(7)*z*y1*y2*x2+T(7)*z*y1*y2+T(7)*y1^2*y2*x1+T(7)*z*y2^2*x1+T(7)*z*y2^2+T(7)*y1*y2^2*x1+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2+T(7)*z*y1*x1^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x2+T(7)*y1^2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*y2^2*x1^2+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*x2^2*x1+T(7)*y1*x2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*x2^3*x1+T(7)*x2^2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1+y1*y2^3+z^3+z*y2^2+y1*y2^2*x1+y2^3*x1+z^2*x1+z^2+z*y1*x1+z*y2*x2+z*y2*x1+y1*y2+y2^2*x2*x1+y2^2*x1+z*x2^2*x1+z*x2*x1+z*x2+z+y1*x2^3+y1*x1^3+y1*x2^2+y1*x1+y2*x2*x1^2+y2*x2*x1+y2*x1^2+y2*x1 norid[55]=T(1)*z^3+T(1)*z^2*x1+T(1)*z^2+T(1)*z+T(1)*x1^3+T(1)*x1+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^3+T(3)*z^2*x1^2+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x2+T(3)*x1^3+T(3)*x2^2+T(4)*z^3+T(4)*z^2*x2^2+T(4)*z^2+T(4)*z*x2+T(4)*z+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(5)*z^2*y2*x2+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x1+T(5)*y2*x2+T(5)*x2^3+T(5)*x2^2+T(5)*x1^2+T(6)*y1^3+T(6)*z^2*x2+T(6)*z*y1*x2+T(6)*z*y1+T(6)*y1^2*x2+T(6)*z*y2*x2+T(6)*y1*y2*x2*x1+T(6)*y1*y2*x2+T(6)*y1*y2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^2*x1+T(6)*y1*x2^2+T(6)*y1*x1^2+T(6)*y1*x2+T(6)*y1+T(6)*y2*x2^2*x1+T(6)*y2*x1+T(6)*y2+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x2*x1+T(6)*x2+T(6)*x1+T(6)+T(7)*y1^4+T(7)*y1^2*y2^2+T(7)*z*y1^2+T(7)*y1^3+T(7)*z*y1*y2+T(7)*z*y2^2+T(7)*y1*y2^2+T(7)*z^2+T(7)*z*y1*x1+T(7)*y1^2*x2^2+T(7)*y1^2*x1+T(7)*z*y2*x1+T(7)*z*y2+T(7)*y1*y2*x2^2+T(7)*y2^2*x1^2+T(7)*y2^2*x1+T(7)*z*x2*x1+T(7)*z+T(7)*y1*x1^3+T(7)*y1*x2*x1+T(7)*y1*x2+T(7)*y1*x1+T(7)*y2*x2^2*x1+T(7)*y2*x2*x1^2+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x2*x1+T(7)*x1^2+z*y2^3+z*y2^2*x1+z*y2^2+y1*y2^2*x1+z^2*x1+y1^2*x1+z*y2*x2+y1*y2*x1^2+y1*y2*x1+y1*y2+y2^2*x1+z*x2+z*x1+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1^2+y2*x1 norid[56]=T(1)*z^2*x1+T(1)*z^2+T(1)*z*x1^2+T(1)*z*x1+T(1)*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2+T(2)*x2+T(2)+T(3)*z^3*x1+T(3)*z^3+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^2+T(3)*z*x2+T(3)*z*x1+T(3)*z+T(3)*x2^4+T(3)*x2^3+T(3)*x2+T(3)*x1+T(3)+T(4)*z^3*x2+T(4)*z^2*x2+T(4)*z^2+T(4)*z*x2^2+T(4)*x2^4+T(4)*x2^3+T(4)*x2^2+T(4)+T(5)*z^3+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z^2+T(5)*y2^2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z+T(5)*x2^2+T(5)+T(6)*z*y1^2+T(6)*z*y1*y2+T(6)*z*y2^2*x1+T(6)*z^2*x2+T(6)*z^2+T(6)*z*y1*x2*x1+T(6)*z*y1*x1^2+T(6)*y1^2*x2+T(6)*z*y2*x2*x1+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*y1*y2*x2^2+T(6)*y1*y2*x1+T(6)*y2^2*x2+T(6)*y2^2+T(6)*z*x2*x1^2+T(6)*z*x2^2+T(6)*z*x1+T(6)*y1*x2+T(6)*y2*x2^2*x1+T(6)*y2*x2*x1+T(6)*y2*x2+T(6)*y2*x1+T(6)*y2+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^2*x1+T(6)+T(7)*z*y1^3+T(7)*z*y1*y2^2+T(7)*z^2*y1+T(7)*z*y1^2*x2+T(7)*z*y1^2*x1+T(7)*y1^3*x1+T(7)*z^2*y2*x1+T(7)*z*y1*y2*x2+T(7)*z*y1*y2+T(7)*y1^2*y2+T(7)*z*y2^2*x1+T(7)*z*y2^2+T(7)*y1*y2^2*x1+T(7)*y1*y2^2+T(7)*y2^3*x1+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2+T(7)*z*y1*x1^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*z*y2*x2*x1+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*y2^2*x2*x1+T(7)*y2^2*x1+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x2^2+T(7)*z*x1^2+T(7)*z+T(7)*y2*x1^3+T(7)*y2*x1+T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x2*x1+y1*y2^3+z^3+z*y2^2*x1+z*y2^2+y1*y2^2*x1+y1^2+z*y2*x2+z*y2+y1*y2*x1^2+y2^2*x2*x1+z*x2^2*x1+z*x2+y1*x2^3+y1*x1^3+y1*x1^2+y1*x1+y1 norid[57]=T(1)*z^3+T(1)*z^2*x1+T(1)*z*x1^2+T(1)*z+T(1)*x1^4+T(1)*x1^3+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^2+T(3)*z+T(3)*x1^4+T(3)*x1^2+T(4)*z*x2+T(4)*z+T(5)*z*y2*x2+T(5)*z*y2+T(5)*y2^2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*y2*x2+T(5)*y2+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(6)*y1^2+T(6)*z*y2+T(6)*y1*y2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*z*x2^2+T(6)*z*x1+T(6)*y1*x2^2+T(6)*y1*x1^2+T(6)*y1*x1+T(6)*y2*x2*x1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x2+T(6)*x1+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*z*y2^2+T(7)*z^2+T(7)*z*y1*x2+T(7)*z*y1*x1+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*z+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+z^4+y1*y2^3+y1*y2^2+y1^2*x1+y1*y2*x1^2+y1*y2*x1+y1*y2+y2^2*x2*x1+y2^2*x1^2+y2^2*x1+y1*x2^3+y1*x1^3+y1*x1^2+y1+y2*x1 norid[58]=T(1)*z^4+T(1)*z^2*x1^2+T(1)*z^2+T(1)*z*x1^2+T(1)*x1^2+T(1)+T(2)*z^4+T(2)*z+T(3)*z^2*x2^2+T(3)*z^2*x1^2+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^3+T(3)*x1^2+T(3)*x1+T(4)*z^2*x2+T(4)*z^2+T(4)*z*x2^3+T(4)*z*x2+T(4)*x2^2+T(4)+T(5)*z^2*y2*x2+T(5)*z^2*y2+T(5)*z^2*x1^2+T(5)*z^2*x2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*z+T(5)*x2^2+T(5)+T(6)*z*y1^2+T(6)*z^2*y2+T(6)*z*y2^2*x2+T(6)*z*y2^2+T(6)*z^2*x2^2+T(6)*z^2*x2+T(6)*z^2*x1+T(6)*z^2+T(6)*z*y1*x2*x1+T(6)*z*y1*x1+T(6)*z*y1+T(6)*y1^2*x2+T(6)*z*y2*x2*x1+T(6)*z*y2*x2+T(6)*y1*y2*x2+T(6)*y1*y2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x2*x1+T(6)*z*x1+T(6)*y1*x2^2*x1+T(6)*y1*x2^2+T(6)*y1*x1^2+T(6)*y2*x2^2+T(6)*y2*x2+T(6)*x2^2*x1^2+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2^2+T(6)+T(7)*z^2*y1^2+T(7)*z^2*y1*y2+T(7)*z^3+T(7)*z^2*y1*x1+T(7)*z^2*y1+T(7)*y1^3*x1+T(7)*z^2*y2+T(7)*y1^2*y2*x1+T(7)*z*y2^2+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x2^2+T(7)*y1^2*x1^2+T(7)*y1^2*x1+T(7)*y1*y2*x2^2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x1^2+T(7)*y1*y2*x1+T(7)*y2^2*x2*x1+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x1^3+T(7)*y1*x2*x1+T(7)*y1*x2+T(7)*y1+T(7)*y2*x2^2*x1+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x2^2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+z*y2^2*x2+z*y2^2+y1*y2^2*x1+y1*y2^2+y1^2+z*y2*x1+z*y2+y1*y2*x1+y1*y2+y2^2*x1^2+y2^2*x1+z*x2+z*x1+y1*x1^2+y1*x1+y2*x2*x1^2+y2*x1^2+y2*x1 norid[59]=T(1)*z^2+T(1)*z*x1^3+T(1)*z*x1+T(1)*x1^5+T(1)+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z+T(2)*x2+T(2)+T(3)*z^2+T(3)*z*x1^3+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z+T(3)*x1^5+T(3)*x1^4+T(3)*x2^2+T(3)*x2+T(3)+T(4)*z*x2+T(4)*z+T(4)+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z+T(5)*y2+T(5)*x1^3+T(5)*x2^2+T(5)*x1^2+T(5)*x1+T(5)+T(6)*z*y1+T(6)*y1^2*x1+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y1*y2+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1*x1+T(6)*y1+T(6)*y2*x2*x1^2+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x2+T(6)*y2+T(6)*x2*x1^3+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*z^2+T(7)*z*y1*x1+T(7)*y1^2+T(7)*z*y2*x1+T(7)*y1*y2+T(7)*z*x2*x1^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^2*x1+y1*y2*x1+y1*y2+y2^2*x1+y1*x1^3+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1 norid[60]=T(1)*z*x1^2+T(1)*z*x1+T(1)*x1^2+T(1)+T(2)*z^2+T(2)*z*x2^2+T(2)*z*x2+T(2)*x2^2+T(2)+T(3)*z^3+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z*x2^2+T(3)*x2^4+T(3)*x2^3+T(3)*x1^3+T(3)+T(4)*z^2+T(4)*z*x2+T(4)*x2^4+T(4)+T(5)*z^2+T(5)*z*y2*x2+T(5)*z*y2+T(5)*y2^2+T(5)*z*x2+T(5)*y2*x2+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)*x1^2+T(5)*x1+T(5)+T(6)*y1^2*y2+T(6)*y1^2*x1+T(6)*y1*y2*x2^2+T(6)*y1*y2*x2*x1+T(6)*y1*y2*x1^2+T(6)*y1*y2*x1+T(6)*y1*y2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2+T(6)*y1*x2^2*x1+T(6)*y1*x2*x1^2+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y2*x2*x1^2+T(6)*y2*x2*x1+T(6)*y2*x2+T(6)*y2+T(6)*x2*x1^4+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x2*x1+T(6)*x1^2+T(6)*x1+T(6)+T(7)*z*y1^2+T(7)*z*y1*y2+T(7)*y1^2*y2+T(7)*z*y2^2+T(7)*y1*y2^2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x2+T(7)*z*y2*x2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y2^2*x1+T(7)*z*x2^2*x1+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1^2+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^3+y1*y2^2*x1+y1^2*x1+y1^2+y1*y2*x1^2+y1*y2*x1+y2^2*x2*x1+y2^2*x1^2+y2^2*x1+y1*x2^3+y1*x1+y1+y2*x2*x1^2+y2*x2*x1+y2*x1^2+y2*x1 norid[61]=T(1)*z^3+T(4)*z^3+T(5)*z^3+T(6)*y1^2*y2*x2+T(6)*y1^2*y2*x1+T(6)*z*y1*x2+T(6)*z*y1+T(6)*y1^2*x2+T(6)*y1^2*x1+T(6)*y1*y2*x2^2+T(6)*z*x2^2*x1+T(6)*z*x2*x1+T(6)*y1*x2*x1^3 norid[62]=T(1)*z^2+T(1)*z*x1+T(1)*x1^3+T(1)*x1^2+T(1)+T(2)*z^2+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z+T(3)*x2^2+T(3)*x2+T(3)*x1+T(4)*z^2*x2+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z^2*y2+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*z^2+T(5)*z+T(5)*x1^3+T(5)*x1^2+T(5)+T(6)*z*y1^2+T(6)*z*y1*y2*x2+T(6)*z*y1*y2*x1+T(6)*z*y1*y2+T(6)*z*y2^2*x2+T(6)*z*y2^2*x1+T(6)*z^2+T(6)*z*y1*x1^2+T(6)*z*y1*x2+T(6)*z*y1*x1+T(6)*y1^2*x2+T(6)*y1^2+T(6)*z*y2*x2*x1+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*y2^2*x2+T(6)*z*x2*x1^3+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*z*x2*x1+T(6)*y1*x2*x1+T(6)*y1*x1+T(6)*y1+T(6)*y2+T(6)*x2^3*x1+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x1^2+T(6)*x2+T(6)*x1+T(6)+T(7)*z^2*y1*x1+T(7)*y1^3+T(7)*y1^2*y2*x1+T(7)*y1*y2^2*x1+T(7)*y1*y2^2+T(7)*y2^3*x1+T(7)*z^2*x1^2+T(7)*z*y1+T(7)*y1^2*x1^2+T(7)*y1^2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x1+T(7)*y1*y2+T(7)*y2^2*x1+T(7)*z*x2*x1+T(7)*z*x1+T(7)*z+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+z^3+z*y2^2*x2+z*y2^2*x1+z*y2^2+y1*y2^2+z*y1*x1+y1^2*x1+z*y2*x2*x1+z*y2+y1*y2*x1+y2^2*x1+z*x2^2*x1+z*x2+y1*x2^2+y1+y2*x2*x1+y2*x1 norid[63]=T(1)*z^3+T(1)*z^2+T(1)*z*x1^2+T(1)*z*x1+T(1)*x1^2+T(1)*x1+T(2)*z^3+T(2)*z^2+T(2)*z*x2^2+T(2)*z*x2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^3+T(3)*z^2+T(3)*z*x2^2+T(3)*x2^4+T(3)*x2^3+T(3)*x2^2+T(3)*x2+T(4)*z^3+T(4)*z*x2+T(4)*z+T(4)*x2^4+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(5)*z*y2*x2+T(5)*z*y2+T(5)*y2^2+T(5)*z*x2+T(5)*y2*x2+T(5)*y2+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(6)*y1^2*y2+T(6)*z*y1*x2+T(6)*y1^2*x2+T(6)*z*y2*x2+T(6)*z*y2+T(6)*y1*y2*x2^2+T(6)*y1*y2*x2*x1+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2+T(6)*z*x2+T(6)*y1*x2*x1^2+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1*x1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1+T(6)*x2^2*x1^3+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x2*x1+T(6)*x1+T(7)*z*y1*y2*x1+T(7)*z^2+T(7)*z*y1*x1^2+T(7)*z*y1*x2+T(7)*z*y1*x1+T(7)*y1^2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*z*y2+T(7)*y1*y2+T(7)*z*x1^3+T(7)*z*x2^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x2*x1+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+y1*y2^3+y1*y2^2*x1+y1*y2^2+y1^2+y1*y2*x1^3+y1*y2*x1+y2^2*x1^3+y2^2*x2*x1+y2^2*x1^2+y2^2*x1+y1*x2^3+y1*x1^3+y1*x2^2+y1*x1^2+y1*x1+y2*x2*x1^3+y2*x1^3+y2*x2*x1+y2*x1^2+y2*x1 norid[64]=T(1)*z^2*x1+T(1)*z*x1+T(1)*x1^3+T(2)*z^2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^2+T(3)*z*x2^3+T(3)*z*x2+T(3)*z+T(3)*x1^3+T(3)*x2^2+T(3)*x1+T(4)*z*x2^3+T(4)*z*x2+T(4)*z+T(4)*x2^3+T(4)*x2+T(5)*z^2*x1+T(5)*z^2+T(5)*z+T(5)*y2*x2+T(5)*x2^3+T(5)*x1+T(6)*z*y1*y2^2+T(6)*z^2*y1+T(6)*z*y1^2+T(6)*z*y1*y2+T(6)*z*y2^2+T(6)*z^2*x2+T(6)*z^2*x1+T(6)*z*y1*x2*x1+T(6)*z*y1*x2+T(6)*y1^2*x2*x1+T(6)*y1^2*x2+T(6)*z*y2*x2*x1^2+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y2^2*x2+T(6)*y2^2+T(6)*z*x2^2*x1^2+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*z*x2*x1+T(6)*y1*x2^2*x1+T(6)*y1*x2*x1^2+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x1^2+T(6)*y2*x2+T(6)*y2+T(6)*x2^3*x1^2+T(6)*x2^2*x1^3+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2^2+T(6)*x2+T(6)+T(7)*z^2*y1*x1+T(7)*z^2*y1+T(7)*y1^3*x1+T(7)*y1^3+T(7)*z^2*y2*x1+T(7)*z^2*y2+T(7)*y1^2*y2*x1^2+T(7)*y1^2*y2*x1+T(7)*y1*y2^2*x1^2+T(7)*y1*y2^2+T(7)*y2^3*x1+T(7)*z^2*x2*x1^2+T(7)*z^2*x1^3+T(7)*z^2*x2*x1+T(7)*z^2*x2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*y1^2+T(7)*z*y2+T(7)*y1*y2*x2+T(7)*y1*y2+T(7)*y2^2*x1^3+T(7)*y2^2*x2*x1+T(7)*y2^2*x1^2+T(7)*y2^2*x1+T(7)*z*x2*x1+T(7)*z+T(7)*y1*x2^2*x1+T(7)*y1*x2*x1+T(7)*y1*x2+T(7)*y1*x1+T(7)*y2*x2*x1^3+T(7)*y2*x1^4+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x1^2+z^3+z*y2^2*x1+y1*y2^2+z^2*x1+z*y1*x1+y1^2+z*y2*x2*x1+z*y2*x1+y1*y2*x1+y2^2*x1+z*x2^2*x1+z*x1+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1^2+y2*x1 norid[65]=T(1)*z^3+T(1)*z^2*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z*x2^2+T(2)*z+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^2+T(3)*z+T(3)*x2^2+T(3)*x1^2+T(3)*x2+T(3)*x1+T(4)*z^2+T(4)*z*x2+T(4)*z+T(4)+T(5)*z^2*x1^2+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*z*y2*x2+T(5)*z*y2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z+T(5)*x2^2+T(5)*x1^2+T(5)*x2+T(5)+T(6)*z*y1^2*y2+T(6)*z*y1*y2^2+T(6)*z^2*y1+T(6)*z*y1^2*x2+T(6)*z*y1^2*x1+T(6)*z*y1^2+T(6)*y1^2*y2+T(6)*z*y2^2*x1^2+T(6)*z*y2^2*x2+T(6)*z^2*x2*x1+T(6)*z*y1*x1^3+T(6)*z*y1*x2*x1+T(6)*z*y1*x1+T(6)*y1^2*x2+T(6)*z*y2*x1^2+T(6)*z*y2*x2+T(6)*z*y2+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y2^2*x2*x1+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*z*x2^2+T(6)*z*x1+T(6)*z+T(6)*y1*x2^2*x1^2+T(6)*y1*x2*x1^2+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1*x2+T(6)*y1+T(6)*y2*x2*x1^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2+T(6)*x2^3*x1^2+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^3+T(6)*x2^2+T(6)*x1+T(6)+T(7)*z^2*y1*x1+T(7)*z*y1^2+T(7)*y1^3*x1^2+T(7)*y1^3*x1+T(7)*y1^3+T(7)*z^2*y2*x1^2+T(7)*z*y1*y2+T(7)*y1^2*y2*x1+T(7)*y1^2*y2+T(7)*y1*y2^2*x1^2+T(7)*y2^3*x1^2+T(7)*z^2*x2*x1^2+T(7)*z^2*x1^3+T(7)*z^2+T(7)*z*y1*x1+T(7)*y1^2*x1^2+T(7)*y1^2*x1+T(7)*z*y2*x1+T(7)*y1*y2*x1^2+T(7)*y1*y2*x1+T(7)*y2^2*x2*x1^2+T(7)*z*x2*x1^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*z+T(7)*y1*x1^3+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y2*x2^2*x1^2+T(7)*y2*x1^4+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*x2^3*x1^2+T(7)*x2*x1^4+T(7)*x2*x1+T(7)*x1^2+z*y2^2*x1+y1*y2^2*x1+z*y1*x1+z*y2*x2*x1+z*y2*x2+y1*y2*x1+y1*y2+y2^2*x1+z*x2+z*x1+y1*x1^3+y1*x2^2+y1*x1+y1+y2*x2*x1+y2*x1 norid[66]=T(1)*z^3+T(1)*z*x1^2+T(1)*z*x1+T(1)*z+T(1)*x1^2+T(1)*x1+T(1)+T(2)*z^3+T(2)*z^2+T(2)*x2^2+T(2)+T(3)*z^2*x1^2+T(3)*z^2+T(3)*z*x2^3+T(3)*z*x2+T(3)*x1^2+T(3)*x2+T(3)+T(4)*z^4+T(4)*z^2+T(4)*z*x2^3+T(4)*z+T(4)*x2+T(5)*z^2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*y2*x2+T(5)*y2+T(5)*x2^2+T(5)*x1^2+T(5)*x1+T(6)*z*y1^2*y2+T(6)*z*y1*y2^2*x1+T(6)*z*y1*y2^2+T(6)*z^2*y1*x2+T(6)*z^2*y1+T(6)*z*y1^2*x2*x1+T(6)*z*y1^2*x1^2+T(6)*z*y1^2*x2+T(6)*z*y1^2+T(6)*z^2*y2*x2+T(6)*z*y1*y2*x2+T(6)*z*y1*y2*x1+T(6)*z*y1*y2+T(6)*y1^2*y2*x2+T(6)*z*y2^2*x2+T(6)*z*y2^2*x1+T(6)*z^2*x2^2+T(6)*z^2*x1+T(6)*z*y1*x2*x1^2+T(6)*z*y1*x1^2+T(6)*y1^2*x2*x1+T(6)*y1^2*x2+T(6)*y1^2*x1+T(6)*y1^2+T(6)*z*y2*x2*x1^2+T(6)*z*y2*x2*x1+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*z*y2+T(6)*y1*y2*x2^2+T(6)*y1*y2*x2*x1+T(6)*y1*y2*x2+T(6)*y1*y2+T(6)*y2^2*x2*x1+T(6)*y2^2*x2+T(6)*z*x2^2*x1^2+T(6)*z*x2+T(6)*y1*x2^2*x1^2+T(6)*y1*x2^2*x1+T(6)*y1*x2*x1^2+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y2*x2*x1^2+T(6)*y2*x2^2+T(6)*y2*x1+T(6)*x2^2*x1^3+T(6)*x2*x1^3+T(6)*x1+T(7)*z^2*y1*y2*x1+T(7)*z^2*y2^2+T(7)*y1*y2^3*x1+T(7)*z^3*x1+T(7)*z^2*y1*x1^2+T(7)*z^2*y1*x2+T(7)*z*y1^2*x1+T(7)*z*y1^2+T(7)*y1^3*x1+T(7)*y1^2*y2*x1+T(7)*z*y2^2+T(7)*y1*y2^2*x2*x1+T(7)*y1*y2^2*x1+T(7)*z^2*x2^2*x1+T(7)*z^2*x2*x1^2+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2+T(7)*z*y1*x1^2+T(7)*z*y1*x2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x1+T(7)*z*y2*x1^2+T(7)*z*y2+T(7)*y1*y2*x1^3+T(7)*y1*y2*x1+T(7)*y2^2*x1^3+T(7)*y2^2*x1^2+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x1^4+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1+T(7)*y2*x2*x1^3+T(7)*x2^3*x1^2+T(7)*x2^2*x1^3+T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+y1*y2^3+z^3+z*y2^2*x1+z*y2^2+y1*y2^2+y2^3*x1+z^2+y1^2+z*y2*x2+z*y2+y1*y2*x1+y2^2*x2*x1+y2^2*x1^2+z*x2^2*x1+z*x2+y1*x2^3+y1*x2^2+y1*x1^2+y2*x2*x1^3+y2*x2*x1^2+y2*x2*x1+y2*x1^2 norid[67]=T(1)*z^4+T(1)*z^3+T(1)*z^2*x1^2+T(1)*z^2+T(1)*z*x1^2+T(1)*z*x1+T(1)*z+T(1)*x1+T(2)*z^3+T(2)*z^2+T(2)*z+T(2)*x2+T(2)+T(3)*z^2*x1+T(3)*z^2+T(3)*x1^3+T(3)*x1^2+T(3)+T(4)*z^2*x2+T(4)*z^2+T(4)*z*x2+T(4)*x2^3+T(4)*x2^2+T(4)*x2+T(4)+T(5)*z^4+T(5)*z^2*y2+T(5)*z^2*x1^2+T(5)*z^2+T(5)*z*x1^2+T(5)*z*x2+T(5)*z*x1+T(5)*y2+T(5)*x2^3+T(5)*x1^3+T(5)*x2^2+T(5)+T(6)*z*y1*y2^2*x1+T(6)*z*y1*y2^2+T(6)*z*y1^2*x2*x1+T(6)*z*y1^2*x1^2+T(6)*z^2*y2*x2+T(6)*z^2*y2+T(6)*z*y1*y2*x2+T(6)*z*y1*y2*x1+T(6)*z*y1*y2+T(6)*y1^2*y2*x2+T(6)*y1^2*y2+T(6)*z*y2^2*x2*x1+T(6)*z*y2^2*x1^2+T(6)*z*y2^2*x2+T(6)*z*y2^2+T(6)*y1*y2^2+T(6)*z^2*x2^2*x1+T(6)*z^2*x2^2+T(6)*z^2*x2+T(6)*z*y1*x1^3+T(6)*z*y1*x2*x1+T(6)*z*y1*x2+T(6)*z*y1+T(6)*y1^2*x2*x1+T(6)*y1^2+T(6)*z*y2*x2*x1^2+T(6)*z*y2*x2*x1+T(6)*z*y2*x1^2+T(6)*z*y2*x2+T(6)*y1*y2*x2^2+T(6)*z*x2*x1+T(6)*z*x2+T(6)*y1*x2^2*x1^2+T(6)*y1*x2*x1^2+T(6)*y1*x2^2+T(6)*y1*x2*x1+T(6)*y1+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x2+T(6)*y2*x1+T(6)*y2+T(6)*x2^3*x1^2+T(6)*x2^2*x1^3+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x1^2+T(6)+T(7)*z^2*y1^2*x1+T(7)*z^2*y2^2+T(7)*y1*y2^3*x1+T(7)*z^3*x1+T(7)*z^2*y1*x2+T(7)*z^2*y1*x1+T(7)*z^2*y1+T(7)*z*y1^2*x1+T(7)*z*y1^2+T(7)*y1^3*x1+T(7)*z^2*y2*x1^2+T(7)*z^2*y2*x1+T(7)*z^2*y2+T(7)*y1^2*y2*x1+T(7)*y1^2*y2+T(7)*z*y2^2+T(7)*y1*y2^2*x2*x1+T(7)*y1*y2^2*x1+T(7)*y1*y2^2+T(7)*y2^3*x1^2+T(7)*z^2*x2^2*x1+T(7)*z^2*x1^3+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x1+T(7)*z*y1*x1^2+T(7)*z*y1*x2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x1^3+T(7)*y1^2*x1+T(7)*y1^2+T(7)*z*y2*x1^2+T(7)*y1*y2+T(7)*y2^2*x1^2+T(7)*y2^2*x1+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x1^2+T(7)*y1*x2^2*x1+T(7)*y1*x2*x1+T(7)*y1*x2+T(7)*y2*x1^4+T(7)*y2*x2*x1^2+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*x2^2*x1^3+T(7)*x2*x1^4+T(7)*x2^3*x1+T(7)*x2^2*x1^2+T(7)*x2*x1+z*y2^3+y1*y2^3+z^3+z*y2^2*x2*x1+z*y2^2*x1+y1*y2^2+y2^3*x1+z^2*x1+z^2+y1^2*x1+z*y2*x2*x1+z*y2*x2+z*y2+y1*y2*x1+y2^2*x2*x1+y2^2*x1^2+z*x2^2*x1+z*x2+y1*x2^3+y1*x2^2+y1*x1^2+y1*x1+y2*x2*x1^3+y2*x2*x1^2+y2*x2*x1 norid[68]=T(1)*z^4+T(1)*z^3*x1+T(1)*z*x1^2+T(1)*z*x1+T(1)*z+T(1)*x1^3+T(2)*z^3+T(2)*z*x2+T(2)*x2^2+T(2)*x2+T(3)*z^4*x1+T(3)*z^2*x1^3+T(3)*z^2*x2+T(3)*z^2*x1+T(3)*z^2+T(3)*z*x2^4+T(3)*z*x2^2+T(3)*z*x1^2+T(3)*z*x2+T(3)*z+T(3)*x2^3+T(3)*x1^3+T(3)*x2^2+T(3)*x2+T(4)*z*x2^4+T(4)*z*x2^2+T(4)*z*x2+T(4)*x2+T(5)*z^4+T(5)*z^2*y2^2+T(5)*z^3*x1+T(5)*z^3+T(5)*z^2*y2*x2+T(5)*z^2*y2+T(5)*z*y2^2*x2+T(5)*y2^3+T(5)*z^2*x1+T(5)*z*y2*x2+T(5)*z*y2+T(5)*y2^2*x2+T(5)*z*x1^2+T(5)*y2+T(5)*x2^3+T(5)*x2+T(6)*z*y1^2*y2^2+T(6)*z^2*y1^2+T(6)*z*y1^3*x1+T(6)*z*y1^3+T(6)*z*y1^2*y2*x1+T(6)*z*y1*y2^2*x1+T(6)*y1^2*y2^2+T(6)*z*y2^3+T(6)*z^3+T(6)*z^2*y1*x2+T(6)*z^2*y1+T(6)*z*y1^2*x1^2+T(6)*z*y1^2+T(6)*y1^3*x2+T(6)*y1^3*x1+T(6)*z^2*y2*x2*x1+T(6)*z^2*y2+T(6)*z*y1*y2+T(6)*y1^2*y2+T(6)*z*y2^2*x1^3+T(6)*z*y2^2*x1^2+T(6)*z*y2^2*x2+T(6)*z*y2^2*x1+T(6)*y1*y2^2*x2*x1+T(6)*y1*y2^2*x2+T(6)*y1*y2^2*x1+T(6)*y1*y2^2+T(6)*y2^3*x2*x1+T(6)*y2^3*x1+T(6)*z^2*x2^2+T(6)*z^2*x2*x1+T(6)*z^2*x1^2+T(6)*z^2*x2+T(6)*z^2+T(6)*z*y1*x1^4+T(6)*z*y1*x2*x1^2+T(6)*z*y1*x1^3+T(6)*z*y1*x1^2+T(6)*z*y1*x1+T(6)*y1^2*x2*x1^2+T(6)*y1^2*x1+T(6)*y1^2+T(6)*z*y2*x1^3+T(6)*z*y2*x1^2+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*z*y2+T(6)*y1*y2*x2^2*x1+T(6)*y1*y2*x2^2+T(6)*y1*y2*x2+T(6)*y1*y2*x1+T(6)*y1*y2+T(6)*y2^2*x2*x1^2+T(6)*y2^2*x2^2+T(6)*y2^2*x2*x1+T(6)*y2^2*x1^2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*y2^2+T(6)*z*x2^2*x1^2+T(6)*z*x2^2*x1+T(6)*z*x2*x1^2+T(6)*z*x2*x1+T(6)*z*x1^2+T(6)*z+T(6)*y1*x2^2*x1^2+T(6)*y1*x2^2*x1+T(6)*y1*x1^3+T(6)*y1*x2^2+T(6)*y1*x2+T(6)*y2*x2*x1^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x1+T(6)*x2^3*x1^3+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*x2*x1+T(6)*x2+T(6)+T(7)*z^2*y2^2*x1+T(7)*z^2*y2^2+T(7)*z*y1*y2^2+T(7)*y1*y2^3*x1+T(7)*z^3*x1^2+T(7)*z^2*y1*x1^3+T(7)*z*y1^2*x1^2+T(7)*z*y1^2*x2+T(7)*z*y1^2*x1+T(7)*z*y1^2+T(7)*y1^3*x1+T(7)*y1^3+T(7)*z^2*y2*x2*x1+T(7)*z^2*y2*x2+T(7)*z^2*y2+T(7)*z*y1*y2*x2+T(7)*z*y1*y2+T(7)*z*y2^2*x2+T(7)*z*y2^2+T(7)*y1*y2^2*x2*x1+T(7)*y1*y2^2*x1^2+T(7)*y1*y2^2+T(7)*y2^3*x1+T(7)*z^2*x2^2+T(7)*z^2*x1^2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x1^3+T(7)*z*y1*x2^2+T(7)*z*y1*x1^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x1^4+T(7)*y1^2*x1^3+T(7)*y1^2*x2^2+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*z*y2*x1^3+T(7)*z*y2*x2+T(7)*y1*y2*x1^4+T(7)*y1*y2*x2^2+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x2+T(7)*y2^2*x1^4+T(7)*y2^2*x2*x1^2+T(7)*y2^2*x1^2+T(7)*z*x2^3*x1+T(7)*z*x2^2*x1^2+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x1^3+T(7)*y1*x1^5+T(7)*y1*x2^3*x1+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x2^2+T(7)*y1*x1^2+T(7)*y1+T(7)*y2*x2^2*x1^3+T(7)*y2*x2*x1^4+T(7)*y2*x2*x1^3+T(7)*y2*x1^4+T(7)*y2*x2^2*x1+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*x2^3*x1^3+T(7)*x2*x1^5+T(7)*x2^4*x1+T(7)*x2^2*x1^3+T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+y1*y2^4+z*y2^3*x1+z*y2^3+y1*y2^3*x1+z^3+z*y2^2*x2*x1+y2^3*x2*x1+y2^3*x1^2+y2^3*x1+z^2*x1+z*y1*x1+y1^2+z*y2*x2+z*y2+y1*y2*x1^2+y1*y2+y2^2*x1^3+y2^2*x2*x1+y2^2*x1^2+y2^2*x1+z*x2^2*x1+z*x2+y1*x2^4+y1*x1^3+y1*x2^2+y1*x1^2+y2*x1^3+y2*x1^2 norid[69]=T(1)*z^3*x1^2+T(1)*z^3*x1+T(1)*z^2*x1^2+T(1)*z+T(1)*x1^2+T(1)+T(2)*z^2+T(2)*z+T(2)*x2^2+T(2)*x2+T(3)*z^3*x1^2+T(3)*z^3*x2+T(3)*z^2*x2^3+T(3)*z^2*x2^2+T(3)*x1^3+T(3)*x1^2+T(3)*x1+T(4)*z^3*x2+T(4)*z^3+T(4)*z^2*x2^3+T(4)*z^2*x2^2+T(4)*z^2*x2+T(4)*x2^3+T(4)*x2^2+T(5)*z^3*x1^2+T(5)*z^3*x1+T(5)*z^2*x1^2+T(5)*z^2+T(5)*y2^2+T(5)*z*x1^2+T(5)*z+T(5)*y2*x2+T(5)*y2+T(5)*x2^3+T(5)*x1^3+T(5)*x2+T(6)*z^2*y1*y2^2+T(6)*z^2*y1^2+T(6)*z^2*y1*y2+T(6)*z*y1^2*y2+T(6)*y1^3*y2*x2+T(6)*z^2*y2^2+T(6)*y1^2*y2^2+T(6)*z^3*x2+T(6)*z^3*x1+T(6)*z^3+T(6)*z^2*y1*x2*x1+T(6)*z^2*y1*x2+T(6)*z*y1^2*x1+T(6)*y1^3*x2*x1+T(6)*y1^3*x2+T(6)*y1^3*x1+T(6)*y1^3+T(6)*z^2*y2*x2*x1^2+T(6)*z*y1*y2*x2*x1+T(6)*z*y1*y2*x2+T(6)*y1^2*y2+T(6)*z*y2^2*x2*x1+T(6)*z*y2^2*x1^2+T(6)*z*y2^2*x1+T(6)*y1*y2^2*x2^2+T(6)*y1*y2^2*x2+T(6)*z^2*x2^2*x1^2+T(6)*z^2*x2^2*x1+T(6)*z^2*x2*x1^2+T(6)*z^2*x2*x1+T(6)*z^2+T(6)*z*y1*x1^3+T(6)*z*y1*x2*x1+T(6)*z*y1*x1^2+T(6)*z*y1*x2+T(6)*z*y1*x1+T(6)*y1^2*x2*x1+T(6)*y1^2*x2+T(6)*y1^2*x1+T(6)*z*y2*x1^2+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*y1*y2*x2^2*x1^2+T(6)*y1*y2*x2+T(6)*y1*y2+T(6)*y2^2*x2^2*x1+T(6)*y2^2*x2*x1^2+T(6)*y2^2*x1^3+T(6)*y2^2*x1^2+T(6)*y2^2*x1+T(6)*z*x1^3+T(6)*z+T(6)*y1*x1^4+T(6)*y1*x2^2*x1+T(6)*y1*x1^3+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1*x2+T(6)*y2*x2^2*x1^3+T(6)*y2*x2^2*x1^2+T(6)*y2*x2*x1^2+T(6)*y2*x1^3+T(6)*y2*x2^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x2+T(6)*y2*x1+T(6)*x2^3*x1^2+T(6)*x2*x1^3+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x2^2+T(6)*x1^2+T(6)+T(7)*z^3*y1*x1+T(7)*z^3*y1+T(7)*z^3*y2*x1+T(7)*z^3*y2+T(7)*z*y1*y2^2*x1+T(7)*z*y1*y2^2+T(7)*z*y2^3*x1+T(7)*z^3*x2*x1^2+T(7)*z^3*x1^3+T(7)*z^3*x2*x1+T(7)*z^3*x2+T(7)*z^3*x1+T(7)*z^2*y1*x1^2+T(7)*z*y1^2*x1^3+T(7)*z*y1^2*x1^2+T(7)*z*y1^2*x2+T(7)*z*y1^2+T(7)*z^2*y2*x1+T(7)*z*y1*y2*x1^2+T(7)*y1^2*y2*x1+T(7)*y1^2*y2+T(7)*z*y2^2*x2*x1+T(7)*z*y2^2*x2+T(7)*z*y2^2*x1+T(7)*y1*y2^2*x2*x1+T(7)*y1*y2^2*x1+T(7)*y1*y2^2+T(7)*y2^3*x1^2+T(7)*z^2*x2*x1^2+T(7)*z^2*x1^2+T(7)*z*y1*x1^4+T(7)*z*y1*x1^3+T(7)*z*y1*x2^2+T(7)*z*y1*x1+T(7)*z*y1+T(7)*y1^2*x1^3+T(7)*y1^2*x2+T(7)*y1^2*x1+T(7)*y1^2+T(7)*z*y2*x1^4+T(7)*z*y2*x2*x1^2+T(7)*z*y2*x2+T(7)*z*y2*x1+T(7)*z*y2+T(7)*y1*y2*x2^2*x1+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x2+T(7)*y1*y2*x1+T(7)*y1*y2+T(7)*y2^2*x2*x1^2+T(7)*y2^2*x1^3+T(7)*y2^2*x2*x1+T(7)*y2^2*x1^2+T(7)*y2^2*x1+T(7)*z*x2^2*x1^2+T(7)*z*x2*x1^3+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x2*x1+T(7)*z+T(7)*y1*x1^4+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1+T(7)*x2^3*x1^2+T(7)*x2*x1^4+T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+z*y2^3*x1+z*y2^2*x2*x1+z*y2^2*x2+z*y2^2*x1+z*y2^2+y1*y2^2*x1^2+y1*y2^2*x1+y1*y2^2+y2^3*x1+z^2+y1^2*x1+z*y2*x2*x1+z*y2*x1+z*y2+y2^2*x2*x1^3+y2^2*x1^4+y2^2*x1+z*x2+z*x1+y1*x1^5+y1*x2^2+y1+y2*x2*x1^4+y2*x1^4+y2*x2*x1^2+y2*x2*x1+y2*x1 norid[70]=T(1)*z^3*x1+T(1)*z^3+T(1)*z*x1^2+T(1)*z*x1+T(1)*z+T(1)*x1+T(1)+T(2)*z+T(3)*z^3*x2+T(3)*z^3*x1+T(3)*z^2*x2^3+T(3)*z^2*x2+T(3)*z*x2^3+T(3)*z*x2^2+T(3)*z*x2+T(3)*z+T(3)*x2^4+T(3)*x2^2+T(3)*x1+T(4)*z^3+T(4)*z^2*x2^3+T(4)*z^2*x2+T(4)*z*x2^3+T(4)*z*x2^2+T(4)*z*x2+T(4)*x2^4+T(4)*x2^2+T(4)*x2+T(5)*z^3*y2+T(5)*z^3*x1+T(5)*z^2*y2+T(5)*z*y2^2+T(5)*y2^3+T(5)*z^2*x2+T(5)*z^2*x1+T(5)*z^2+T(5)*y2^2*x2+T(5)*y2*x2+T(5)*y2+T(5)*x1^2+T(5)*x2+T(6)*z^2*y1^2*y2+T(6)*z^2*y1^2*x2+T(6)*z^2*y1^2*x1+T(6)*z^2*y1^2+T(6)*z^2*y1*y2+T(6)*y1^3*y2*x1+T(6)*z^2*y2^2*x1^2+T(6)*z^2*y2^2*x2+T(6)*z^2*y2^2*x1+T(6)*z^2*y2^2+T(6)*y1^2*y2^2*x2+T(6)*y1^2*y2^2+T(6)*z^3*x2+T(6)*z^2*y1*x1^3+T(6)*z^2*y1*x2*x1+T(6)*z^2*y1*x1^2+T(6)*z^2*y1*x2+T(6)*z^2*y1*x1+T(6)*z*y1^2*x1+T(6)*y1^3*x2*x1+T(6)*y1^3*x1+T(6)*y1^3+T(6)*z^2*y2*x2*x1^2+T(6)*z^2*y2*x2*x1+T(6)*z^2*y2*x1^2+T(6)*z^2*y2*x2+T(6)*z^2*y2*x1+T(6)*z^2*y2+T(6)*z*y1*y2*x2+T(6)*z*y1*y2+T(6)*y1^2*y2*x2+T(6)*z*y2^2*x2*x1+T(6)*z*y2^2*x2+T(6)*y1*y2^2*x2*x1^2+T(6)*y1*y2^2*x2^2+T(6)*y1*y2^2*x2+T(6)*y1*y2^2+T(6)*y2^3*x2+T(6)*y2^3*x1+T(6)*z^2*x2^2*x1^2+T(6)*z^2*x2*x1+T(6)*z^2+T(6)*z*y1*x2*x1+T(6)*z*y1*x1^2+T(6)*z*y1*x2+T(6)*z*y1*x1+T(6)*z*y1+T(6)*y1^2*x2*x1^2+T(6)*y1^2*x2+T(6)*y1^2*x1+T(6)*z*y2*x2*x1^2+T(6)*z*y2*x2*x1+T(6)*z*y2*x1^2+T(6)*z*y2*x2+T(6)*z*y2*x1+T(6)*z*y2+T(6)*y1*y2*x2^2*x1^2+T(6)*y1*y2*x2^2*x1+T(6)*y1*y2*x1^2+T(6)*y1*y2*x2+T(6)*y2^2*x2^2*x1+T(6)*y2^2*x2*x1^2+T(6)*y2^2*x1^3+T(6)*y2^2*x2^2+T(6)*y2^2*x2+T(6)*y2^2*x1+T(6)*z*x2^2*x1^2+T(6)*z*x2*x1^2+T(6)*z*x1^3+T(6)*z*x2^2+T(6)*z*x1^2+T(6)*z*x2+T(6)*z*x1+T(6)*y1*x2^2*x1^2+T(6)*y1*x1^4+T(6)*y1*x2+T(6)*y1+T(6)*y2*x2^2*x1^2+T(6)*y2*x2^2*x1+T(6)*y2*x2*x1^2+T(6)*y2*x1^3+T(6)*y2*x1+T(6)*x2^3*x1+T(6)*x2^2*x1^2+T(6)*x2*x1^3+T(6)*x2^3+T(6)*x2*x1^2+T(6)*x1+T(7)*z^3*y1+T(7)*z^3*y2*x1^2+T(7)*z^3*y2*x1+T(7)*z^3*y2+T(7)*z*y1*y2^2+T(7)*z*y2^3*x1^2+T(7)*z*y2^3*x1+T(7)*z^3*x2*x1+T(7)*z^3*x2+T(7)*z^3*x1+T(7)*z^3+T(7)*z^2*y1*x1+T(7)*z*y1^2*x1^2+T(7)*z^2*y2+T(7)*z*y1*y2+T(7)*y1^2*y2*x1+T(7)*y1^2*y2+T(7)*z*y2^2*x2*x1^2+T(7)*z*y2^2*x1^3+T(7)*z*y2^2*x2*x1+T(7)*z*y2^2*x2+T(7)*z*y2^2*x1+T(7)*z*y2^2+T(7)*y1*y2^2*x1+T(7)*y1*y2^2+T(7)*y2^3*x1+T(7)*z^2*x2*x1+T(7)*z^2*x1^2+T(7)*z^2*x2+T(7)*z^2*x1+T(7)*z^2+T(7)*z*y1*x1^3+T(7)*z*y1*x2^2+T(7)*z*y1*x1^2+T(7)*z*y1*x2+T(7)*z*y1*x1+T(7)*y1^2*x1^2+T(7)*y1^2*x1+T(7)*z*y2*x2^2*x1^2+T(7)*z*y2*x1^3+T(7)*z*y2*x1+T(7)*y1*y2*x2*x1+T(7)*y1*y2*x1+T(7)*y2^2*x1+T(7)*z*x2^3*x1^2+T(7)*z*x2*x1^4+T(7)*z*x2^3*x1+T(7)*z*x2*x1^3+T(7)*z*x2^2*x1+T(7)*z*x2*x1^2+T(7)*z*x2^2+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x1^2+T(7)*y1*x2+T(7)*y1*x1+T(7)*y1+T(7)*y2*x1^3+T(7)*y2*x1^2+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+T(7)*x1^2+T(7)*x1+y1*y2^4+z*y2^3+y1*y2^3*x1^2+z^3+z*y2^2*x2+z*y2^2+y1*y2^2*x1+y2^3*x1^3+y2^3*x2*x1+y2^3*x1^2+y2^3*x1+z^2*x1+z^2+y1^2*x1+z*y2*x2*x1+z*y2*x2+z*y2+y1*y2*x1^2+y1*y2+y2^2*x2*x1^3+y2^2*x1^4+y2^2*x2*x1^2+y2^2*x2*x1+z*x2^2*x1+z*x2*x1+z*x1+z+y1*x1^5+y1*x2^4+y1*x1^4+y1*x1^3+y1*x2^2+y1*x1+y2*x2*x1^4+y2*x2*x1^3+y2*x1^4+y2*x1^3 norid[71]=T(1)^2+T(1)*y1+T(1)*x1^2+T(1)*x1+T(4)+T(5)+T(6)+z*y1*y2+z^2+z*y1+y1^2+z*x2*x1^2+y1*x2*x1+y1*x1+y2*x1 norid[72]=T(1)*T(2)+T(1)*y1+T(1)*x1^2+T(1)+T(2)*y1+T(3)*y1+T(3)+T(4)+T(6)+z*y1*y2+z^2+z*y1+y1^2+z*y2*x2^2+z*x2*x1^2+z*x2^2+y1*x2*x1+y1*x1+y2*x1 norid[73]=T(2)^2+T(1)+T(2)+T(3)*y1+T(3)*x2+T(3)+T(4)+T(7)*x2^2+z*y1*y2+y1^2*y2+z^2*x2+z*y1*x2^2+z*y1+y1^2*x2+z*x2^3+z*x2*x1^2+y1*x2*x1^2+y1*x2*x1 norid[74]=T(1)*T(3)+T(1)*y1+T(1)*x1^2+T(1)+T(3)+T(5)+T(6)+z*y1*y2+y1^2*y2+z^2*x2+z*y1*x2^2+z*y1+y1^2*x2+z*y2*x2^2+z*x2*x1^2+z*x2^2+y1*x2*x1^2+y1*x2*x1 norid[75]=T(2)*T(3)+T(1)+T(2)*y1*x2+T(2)*y1+T(2)+T(3)*y1+T(3)*x2+T(3)+T(4)+T(7)*x2^2+z*y1*y2*x2+z*y1*y2*x1+z*y1*y2+y1^2*y2+z^2*x2+z*y1*x2+z*y1*x1+z*y1+y1^2*x2+z*x2^4+z*x2*x1^3+z*x2^3+z*x2*x1^2+y1*x2*x1^2+y1*x2*x1 norid[76]=T(3)^2+T(1)+T(2)*y1*x2+T(2)*y1+T(2)+T(3)*y1*x2+T(3)*x2+T(3)+T(4)+T(7)*x2^2+z*y1*y2+y1^2*y2+z^2*x2+z*y1*x2^2+z*y1+y1^2*x2+z*y2*x2^3+z*x2^3+z*x2*x1^2+y1*x2*x1^2+y1*x2*x1 norid[77]=T(1)*T(4)+T(1)*x1^2+T(1)*x1+T(2)*y1+T(3)*y1+T(3)+T(4)+T(5)*x1+T(6)+y1^3+z^2*y2+z*y1*y2*x2+z*y1*y2+y1^2*y2+z^2*x1+z^2+z*y1*x2^2+z*y1*x2+z*y1+y1^2*x1+y1^2+z*y2*x2^2+y1*y2*x1+z*x2*x1^2+z*x2^2+y1*x2*x1^2+y1*x1+y2*x1^2 norid[78]=T(2)*T(4)+T(1)*y1+T(1)*x1+T(2)*y1+T(2)+T(3)*y1*x2+T(3)*x2+T(4)+T(5)*x1+T(5)+T(7)*x2^2+z^2*y1+z*y1^2*x2+y1^3+z*y1*y2*x1+y1^2*y2+z^2*x2+z*y1*x1+y1^2*x2*x1+y1^2*x2+y1^2*x1+z*y2*x2^3+y1*y2*x1+z*x2^4+z*x2*x1^3+y1*x2*x1^2+y1*x2*x1 norid[79]=T(3)*T(4)+T(1)*y1+T(1)*x1+T(2)*y1*x2+T(2)*y1+T(2)+T(3)*y1*x2+T(3)*y1+T(3)*x2+T(5)*x1+T(7)*x2^2+z*y1^2*y2+z*y1^2*x2+z*y1^2+y1^3+z^2*y2+z*y1*y2*x2+y1^2*y2*x2+y1^2*y2+z^2*x2^2+z^2*x2*x1+z^2*x2+z*y1*x2^3+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x2+y1^2*x2^2+y1^2*x2*x1+y1^2*x2+y1^2*x1+y1^2+y1*y2*x1+y1*x2*x1^2+y1*x1^2+y2*x1 norid[80]=T(4)^2+T(1)*y1+T(1)+T(2)*y1+T(2)+T(3)*y1+T(3)*x2+T(3)+T(5)*y1+T(5)+T(6)*y2+T(6)*x1+T(7)*x2^2+z*y1^3+z^2*y1+y1^3*x2+y1^3*x1+y1^3+z^2*y2*x2+z^2*y2*x1+z^2*y2+z*y1*y2*x2^2+z*y1*y2+y1^2*y2+z^2*x2^2+z^2*x1^2+z^2*x1+z*y1*x2*x1+z*y1+y1^2*x2^2+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+y1^2+z*y2*x2^3+y1*y2*x1^2+z*x2^3+z*x2*x1^2+y1*x2*x1^2+y1*x2*x1+y2*x1^3+y2*x1 norid[81]=T(1)*T(5)+T(1)*x1^2+T(1)*x1+T(3)+T(5)*x1+T(5)+T(6)+z^2*y1+z*y1^2*x2+y1^3+z*y1*y2*x2+z*y1*y2+y1^2*y2+z^2*x2+z^2+z*y1*x2^2+z*y1*x2+z*y1+y1^2*x2*x1+y1^2*x2+y1^2*x1+y1^2+z*y2*x2^2+y1*y2*x1+z*x2*x1^2+z*x2^2+y1*x2*x1^2+y1*x1+y2*x1 norid[82]=T(2)*T(5)+T(1)*y1+T(1)*x1+T(2)*y1*x2+T(2)+T(3)*y1+T(3)*x2+T(4)+T(5)*x1+T(5)+T(7)*x2^2+z*y1^2*y2+z^2*y1+z*y1^2+y1^3+z*y1*y2*x1+y1^2*y2*x2+y1^2*y2+z^2*x2^2+z^2*x2*x1+z^2*x1+z*y1*x2^3+z*y1*x2*x1^2+z*y1*x1+y1^2*x2^2+y1^2*x1+y1^2+z*y2*x2^3+y1*y2*x1+z*x2^4+z*x2*x1^3+y1*x2*x1^2+y1*x1^2+y2*x1^2 norid[83]=T(3)*T(5)+T(1)*y1+T(1)*x1+T(2)*y1*x2+T(2)*y1+T(2)+T(3)*y1*x2+T(3)*y1+T(3)*x2+T(5)*x1+T(7)*x2^2+z^2*y1+y1^3*x2+y1^3+z^2*y2*x2+z^2*y2+z*y1*y2*x2^2+z*y1*y2*x2+y1^2*y2+z^2*x2^2+z^2*x2*x1+z^2*x1+z*y1*x2^2+z*y1*x2+y1^2*x2^2+y1^2*x1+y1^2+y1*x2*x1^2+y1*x2*x1+y2*x1^2+y2*x1 norid[84]=T(4)*T(5)+T(1)*y1+T(1)+T(2)*y1*x2+T(2)*y1+T(2)+T(3)*y1*x2+T(3)*y1+T(3)*x2+T(3)+T(4)+T(5)*y1+T(6)*y2+T(6)*x1+T(7)*x2^2+z*y1^3+z*y1^2*y2+y1^3*y2+z^2*y1*x2+z^2*y1*x1+z^2*y1+z*y1^2*x2^2+z*y1^2*x2*x1+z*y1^2*x2+z*y1^2+y1^3*x1+z^2*y2*x2+z*y1*y2+y1^2*y2*x2+y1^2*y2+z^2*x1+z*y1*x2^3+z*y1*x2*x1^2+z*y1*x2*x1+z*y1+y1^2*x1^2+z*y2*x2^3+y1*y2*x1^2+y1*y2*x1+z*x2^3+z*x2*x1^2+y1*x2*x1^2+y1*x1^2+y2*x1^2 norid[85]=T(5)^2+T(1)*y1+T(1)+T(2)*y1*x2+T(2)+T(3)*y1*x2+T(3)*x2+T(3)+T(5)*y1+T(5)+T(6)*y2+T(6)*x1+T(7)*x2^2+z*y1^3+y1^4+z^2*y1*y2+z*y1^2*y2*x2+z^2*y1*x2+z^2*y1*x1+y1^3*x2+y1^3*x1+y1^3+z^2*y2+z*y1*y2*x2^2+z*y1*y2+y1^2*y2+z^2*x2*x1+z^2*x1^2+z^2*x1+z*y1*x2*x1+z*y1+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+z*y2*x2^3+y1*y2*x1^2+z*x2^3+z*x2*x1^2+y1*x1^3+y1*x2*x1+y2*x1^3+y2*x1^2+y2*x1 norid[86]=T(1)*T(6)+T(1)*y1+T(3)*y1+T(5)*y1+T(6)*y2+T(6)*x1+z*y1^3+y1^3*x1+y1^3+z^2*y2*x1+z^2*y2+y1^2*y2+z^2*x2*x1+z^2*x1^2+z^2*x1+z^2+z*y1*x2*x1+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+y1^2+y1*y2*x1^2+y1*y2*x1+y1*x2*x1^2+y1*x1+y2*x1^3 norid[87]=T(2)*T(6)+T(1)*x1+T(1)+T(2)*y1*x2+T(2)*y1+T(3)*y1*x2+T(5)*y1+T(5)*x1+T(6)*y2+T(6)*x1+z*y1^3+y1^3*y2+z^2*y1*x2+z^2*y1*x1+z^2*y1+z*y1^2*x2^2+z*y1^2*x2*x1+y1^3*x1+y1^3+z^2*y2*x2+z^2*y2+z*y1*y2*x2+y1^2*y2+z^2*x2^2+z^2*x2*x1+z^2*x1+z*y1*x2*x1+z*y1*x2+y1^2*x2^2+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+y1^2+y1*y2*x1^2+y1*x2*x1^2+y1*x2*x1+y2*x1^2+y2*x1 norid[88]=T(3)*T(6)+T(1)*x1+T(1)+T(2)*y1+T(4)+T(5)*y1+T(5)*x1+T(5)+T(6)*y2+T(6)*x1+z*y1^3+y1^4+z^2*y1*y2+z*y1^2*y2*x2+y1^3*y2+z^2*y1+z*y1^2*x2^2+z*y1^2*x2*x1+z*y1^2*x2+y1^3*x1+y1^3+z^2*y2*x1+z*y1*y2*x2+y1^2*y2+z^2*x2+z*y1*x2*x1+z*y1*x2+y1^2*x1^2+y1^2*x2+y1^2*x1+y1*y2*x1^2+y1*x1^3+y1*x2*x1+y2*x1^2 norid[89]=T(4)*T(6)+T(1)*y1^2+T(1)*y1+T(1)*x1+T(1)+T(2)*y1*x2+T(2)*y1+T(3)*y1*x2+T(4)*y1+T(5)*y1*x1+T(5)*x1+T(6)*y2*x1+T(6)*y2+T(6)*x1^2+T(6)*x1+z^2*y1^2+z*y1^3*x2+z*y1^3*x1+z*y1^3+y1^4+z*y1^2*y2*x2+z*y1^2*y2+z^3+z^2*y1*x2+z^2*y1*x1+z^2*y1+z*y1^2*x2^2+z*y1^2*x2*x1+z*y1^2*x2+y1^3*x2*x1+y1^3*x1^2+z^2*y2*x1^2+z^2*y2*x2+z^2*y2+z*y1*y2*x2+y1^2*y2*x2+y1^2*y2+z^2*x2*x1^2+z^2*x1^3+z^2*x2^2+z^2*x1^2+z^2*x1+z*y1*x2+z*y1*x1+y1^2*x1^3+y1^2*x2^2+y1^2*x1+y1^2+z*y2*x1+y1*y2*x1^3+y1*y2*x1^2+y1*x1^3+y1*x2*x1+y2*x1^4+y2*x1^2+y2*x1 norid[90]=T(5)*T(6)+T(1)*y1^2+T(1)*y1+T(1)*x1+T(1)+T(2)*y1+T(4)*y1+T(4)+T(5)*y1*x1+T(5)*x1+T(5)+T(6)*y2*x1+T(6)*y2+T(6)*x1^2+T(6)*x1+z*y1^3*y2+z*y1^3*x2+z*y1^3*x1+y1^4+z^2*y1*y2+z*y1^2*y2*x2+z*y1^2*y2+y1^3*y2*x1+z^3+z^2*y1*x2*x1+z^2*y1*x1^2+z^2*y1+z*y1^2*x2^2+z*y1^2*x2*x1+z*y1^2*x2+y1^3*x2*x1+y1^3*x1^2+y1^3*x1+z^2*y2*x1+z*y1*y2*x2+y1^2*y2*x2+y1^2*y2+z^2*x2+z*y1*x2+z*y1*x1+y1^2*x1^3+y1^2*x1^2+y1^2*x2+y1^2*x1+z*y2*x1+y1*y2*x1^3+y1*y2*x1^2+y1*x1^3+y1*x2*x1+y2*x1^2 norid[91]=T(6)^2+T(1)*y1^3+T(1)*y1*x1^2+T(2)*y1*x2+T(3)*y1*x2+T(4)+T(5)+T(6)*y1*y2+T(6)*y1*x1+T(6)*y2*x1^2+T(6)*x1^3+y1^4*y2+z^3*y1+z^2*y1^2*x1+z^2*y1^2+z*y1^3*x2*x1+z*y1^3*x1^2+z*y1^3+y1^4+z^2*y1*y2*x1+z^2*y1*y2+z*y1^2*y2*x1+z*y1^2*y2+y1^3*y2*x1+z^3*x2+z^2*y1*x2*x1+z^2*y1*x1^2+z^2*y1*x2+z*y1^2*x2*x1+z*y1^2*x2+y1^3*x1^3+y1^3*x1^2+y1^3*x2+y1^3*x1+z^2*y2*x1^3+z^2*y2*x1^2+z^2*y2*x2+z^2*y2*x1+z^2*y2+z*y1*y2*x1+y1^2*y2*x2^2+z^2*x2*x1^3+z^2*x1^4+z^2*x2*x1^2+z^2*x1^3+z^2*x2^2+z^2*x1^2+z^2*x2+z^2*x1+z*y1*x2*x1^2+z*y1*x2*x1+y1^2*x1^4+y1^2*x1^3+y1^2*x2^2+y1^2*x2+y1^2+y1*y2*x1^4+y2*x1^5+y2*x1 norid[92]=T(1)*T(7)+T(1)*y1+T(1)*x1^2+T(1)*x1+T(2)*y1+T(3)*y1+T(6)+z*y1*y2+y1^2*y2*x2+y1^2*y2*x1+z^2*x2+z*y1*x2^2+z*y1+y1^2*x2^3+y1^2*x2^2+y1^2*x1+y1^2+y1*y2*x2^3+y1*y2*x2^2+z*x2*x1^2+y1*x2*x1^3+y1*x2^3+y1*x2^2+y1*x2*x1 norid[93]=T(2)*T(7)+T(1)*y1+T(1)*x1^2+T(1)+T(2)*y1*x2+T(3)*y1+T(3)+T(4)+T(6)+y1^4+y1^3+z*y1*y2*x2+z*y1*y2*x1+z*y1*y2+y1^2*y2*x2^2+y1^2*y2*x1^2+y1^2*y2+z^2+z*y1*x2^2+z*y1*x2+z*y1*x1+z*y1+y1^2*x2^2+y1^2*x2*x1+y1^2*x1^2+z*y2*x2^2+y1*y2*x2^2+y1*y2*x1^2+y1*y2*x2+y1*y2*x1+z*x2^4+z*x2*x1^3+z*x2*x1^2+z*x2^2+y1*x2^5+y1*x2*x1^4+y1*x2^4+y1*x2*x1^2+y1*x2^2+y1*x1^2+y1*x2+y2*x2^5+y2*x2^4+y2*x1+x2^5+x2*x1^4+x2^4+x2*x1^3 norid[94]=T(3)*T(7)+T(1)*y1+T(1)*x1^2+T(1)+T(3)*y1*x2+T(3)*y1+T(3)+T(5)+T(6)+y1^3+z*y1*y2*x2+z*y1*y2*x1+z*y1*y2+y1^2*y2*x2+y1^2*y2*x1+z^2*x2+z*y1*x2+z*y1*x1+z*y1+y1^2*x2^3+y1^2*x2^2+y1^2*x1+y1^2+z*y2*x2^3+z*y2*x2^2+y1*y2*x2^4+y1*y2*x2^3+y1*y2*x2^2+y1*y2*x1^2+y1*y2*x2+y1*y2*x1+z*x2^4+z*x2*x1^3+z*x2*x1^2+z*x2^2+y1*x2*x1^3+y1*x2^2+y1*x1^2+y1*x2+y1*x1+y2*x2^5+y2*x2^4+x2^5+x2*x1^4+x2^4+x2*x1^3 norid[95]=T(4)*T(7)+T(1)*x1^2+T(1)*x1+T(2)*y1*x2+T(2)*y1+T(3)+T(5)*x1+T(5)+T(6)+z^3*x2+z^3+z^2*y1+z*y1^2*x2+y1^3*x2^2+y1^3*x2+z*y1*y2*x1+z*y1*y2+y1^2*y2*x2+y1^2*y2+z^2*x2^2+z^2*x2*x1+z^2*x1+z^2+z*y1*x2^3+z*y1+y1^2*x2^4+y1^2*x2^2+y1^2*x2+y1^2*x1+z*y2*x2^3+z*y2*x2^2+z*y2*x1+y1*y2*x2^2+y1*y2*x1^2+y1*y2*x2+z*x2^4+z*x2*x1^3+z*x2*x1^2+z*x2^2+y1*x2^4+y1*x2^3+y1*x2*x1^2+y1*x2^2+y1*x2+y2*x2^5+y2*x2^4+y2*x1^2+y2*x1+x2^5+x2*x1^4+x2^4+x2*x1^3 norid[96]=T(5)*T(7)+T(1)*x1^2+T(1)*x1+T(2)*y1+T(3)*y1*x2+T(3)+T(4)+T(5)*x1+T(6)+z*y1^2*y2+z^2*y1+z*y1^2*x2+z*y1^2+y1^3*x2+z^2*y2*x2+z^2*y2+z*y1*y2*x2^2+z*y1*y2*x1+z*y1*y2+y1^2*y2*x2^3+y1^2*y2+z^2*x2+z^2+z*y1*x2^3+z*y1*x2*x1^2+z*y1*x1+z*y1+y1^2*x2^3+y1^2*x2*x1+y1^2*x1+y1^2+z*y2*x2^3+z*y2*x2^2+y1*y2*x2^2+y1*y2*x1^2+y1*y2*x2+y1*y2*x1+z*x2^4+z*x2*x1^3+z*x2*x1^2+z*x2^2+y1*x2^4+y1*x2^3+y1*x2*x1^2+y1*x2^2+y1*x2+y2*x2^5+y2*x2^4+x2^5+x2*x1^4+x2^4+x2*x1^3 norid[97]=T(6)*T(7)+T(1)*y1+T(2)*y1*x2+T(3)*y1*x2+T(3)*y1+T(4)+T(5)*y1+T(5)+T(6)*y2+T(6)*x1+z^3*y1+z^2*y1*y2+z*y1^2*y2+z^3*x2^2+z^3*x2*x1+z^3+z^2*y1*x2+z^2*y1*x1+z*y1^2*x2^2+z*y1^2*x2+y1^3*x2^3+y1^3*x2^2+y1^3*x2*x1+y1^3*x2+y1^3*x1+y1^3+z^2*y2*x2+z*y1*y2*x1+y1^2*y2*x2^3+y1^2*y2*x2^2+y1^2*y2+z^2*x2^2+z^2*x1^2+z^2*x2+z^2+z*y1*x1+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+z*y2*x1+y1*y2*x1^2+y1*y2*x1+y1*x1^3+y1*x1+y2*x1^3+y2*x1 norid[98]=T(7)^2+T(1)*y1*x1+T(1)*x1^3+T(1)*x1^2+T(2)*y1*x2^3+T(2)*y1+T(2)*x2^4+T(2)*x2^2+T(3)*y1*x2+T(3)*x2^4+T(3)*x2^3+T(3)+T(5)+T(6)*x1+T(6)+y1^4+y1^3+z^2*y2+z*y1*y2+y1^2*y2*x2^2+y1^2*y2*x1^2+y1^2*y2*x2+y1^2*y2*x1+y1^2*y2+z^2*x2^2+z*y1+y1^2*x2^2+y1^2*x2*x1+y1^2*x1^2+y1^2*x1+y1^2+z*y2*x2^3+y1*y2*x2^4+y1*y2*x2^3+y1*y2+z*x2*x1^2+y1*x2^5+y1*x2*x1^4+y1*x2^4+y1*x2*x1^3+y1*x2*x1+y1*x1^2+y1*x1+y1+y2*x2^4+y2*x2^2+y2*x1+x2^4+x2*x1^3+x2^2+x2*x1 norid[99]=y2^2+y1*x2+y1*x1+y2 norid[100]=y1*y2+y1+x2^2*x1+x2*x1^2 norid[101]=y1^2+y2*x2*x1 norid[102]=y1^3*y2+z^3+z*y1^2+y1^3+y1^2*y2*x2+z*y1*x2*x1+z*y1*x1+y1^2*x2*x1^2+z*y2*x1 norid[103]=y1^4+z*y1^2*y2+y1^3*y2*x2+z^3*x2+z^3*x1+z*y1^2*x2+z*y1^2*x1+y1^3*x2+y1^2*y2*x2^2+z*y1*x2*x1+z*y1*x1^2+z*y2*x1^2 norid[104]=z*y1^3+y1^4*x2+z^3*y2+z*y1^2*y2+y1^3*x2^2+y1^3*x2*x1+z*y1*y2*x1+y1^2*y2*x2+z*y1*x2*x1+z*y1*x1^2+z*y2*x1 norid[105]=y1^5+z*y1^3+y1^4*x1+z^3*y2+z*y1^2*y2*x1+z*y1^2*y2+z^3*x2*x1+z^3*x1^2+z*y1^2*x2*x1+z*y1^2*x1^2+y1^3*x2^2+z*y1*y2*x1+y1^2*y2*x2+z*y1*x2*x1^2+z*y1*x1^3+z*y1*x2*x1+z*y1*x1^2+z*y2*x1^3+z*y2*x1 > option(redSB); > ideal j=std(norid);j; j[1]=T(4)*x1+T(5)*y2*x1^2+T(5)*y2*x1+T(5)*x1^2+T(5)*x1+T(6)*y1*x1+T(6)*y2*x1+T(6)*x2^2+T(6)*x2*x1+T(6)*x2+T(6)*x1+T(7)*y2*x2*x1+T(7)*x1^2+T(7)*x1+z*y1*x2+z*y2*x2^2*x1+z*y2*x1+z*y2+z*x2^4*x1+z*x2^3*x1^2+z*x2*x1^2+z*x2*x1+z*x1+z j[2]=T(4)*x2^3+T(4)+T(5)*y2*x2^2*x1^2+T(5)*y2*x2^2*x1+T(5)*y2*x1^2+T(5)*y2+T(5)*x2^3*x1+T(5)*x2^3+T(5)*x1^2+T(5)+T(6)*y1*x2^2*x1+T(6)*y1*x1+T(6)*y1+T(6)*y2*x2^2*x1+T(6)*y2*x1+T(6)*y2+T(6)*x2*x1+T(6)*x1+T(7)*y2*x2^2*x1^2+T(7)*y2*x2*x1+T(7)*y2*x2+T(7)*y2+T(7)*x2^2*x1^2+T(7)*x2^2*x1+T(7)*x1^2+T(7)*x1+z*y1*x2^3*x1+z*y1*x2^2*x1^2+z*y1*x2^3+z*y1+z*y2*x2^3*x1^2+z*y2*x2+z*y2*x1+z*y2+z*x2^5*x1^2+z*x2^4*x1^3+z*x2^4*x1+z*x2^4+z*x2^3+z*x2*x1^2+z*x2^2+z*x2*x1+z*x1+z j[3]=T(3)+T(4)*x2+T(4)+T(5)*y2*x1^2+T(5)*y2*x1+T(5)*x2*x1+T(5)*x2+T(6)*y1*x1+T(6)*y2*x1+T(6)+T(7)*y2*x1^2+T(7)*x1^2+T(7)*x1+z*y1*x2*x1+z*y1*x1^2+z*y1*x2+z*y2*x2*x1^2+z*y2*x1+z*y2+z*x2^3*x1^2+z*x2^2*x1^3+z*x2*x1^2+z*x2*x1+z*x1+z j[4]=T(2)+T(4)*x2^2+T(4)*x2+T(5)*y2*x2*x1^2+T(5)*y2*x2*x1+T(5)*y2*x1^2+T(5)*y2*x1+T(5)*x2^2*x1+T(5)*x2^2+T(5)*x2*x1+T(5)*x2+T(5)+T(6)*y1*x2*x1+T(6)*y1*x1+T(6)*y2*x2*x1+T(6)*y2*x1+T(6)*x2+T(6)+T(7)*y2*x2*x1^2+T(7)*y2*x1^2+T(7)*y2+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+T(7)*x1+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x2*x1+z*y1*x1^2+z*y1*x2+z*y1+z*y2*x2^2*x1^2+z*y2*x2*x1^2+z*y2*x2*x1+z*y2*x1+z*y2+z*x2^4*x1^2+z*x2^3*x1^3+z*x2^3*x1^2+z*x2^2*x1^3+z*x2^2*x1^2+z*x2^3+z*x2*x1^2+z*x2+z*x1+z j[5]=T(1)+T(4)+T(5)*y2*x2*x1^2+T(5)*y2*x1^3+T(5)*y2*x2*x1+T(5)*y2*x1+T(5)*x1^2+T(5)*x1+T(5)+T(6)*y1*x2*x1+T(6)*y1*x1^2+T(6)*y1*x1+T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*y2*x1+T(6)*x2^3+T(6)*x2^2*x1+T(6)*x2+T(7)*y2*x2^2*x1+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*x2*x1^2+T(7)*x1^3+T(7)*x2*x1+z*y1*x2*x1^2+z*y1*x1^3+z*y1*x2^2+z*y1*x2*x1+z*y2*x2^3*x1+z*y2*x2*x1^3+z*y2*x2^2*x1+z*y2*x2*x1+z*y2*x1^2+z*y2*x2+z*x2^5*x1+z*x2^4*x1^2+z*x2^3*x1^3+z*x2^2*x1^4+z*x2^4*x1+z*x2^3*x1^2+z*x2^2*x1^2+z*x2*x1^3+z*x2^2*x1+z*x2*x1+z*x1^2+z*x2 j[6]=y2^2+y1*x2+y1*x1+y2 j[7]=y1*y2+y1+x2^2*x1+x2*x1^2 j[8]=y1^2+y2*x2*x1 j[9]=T(7)*x2^2*x1^2+T(7)*x2*x1^3+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*y1*x2+z^2*y1*x1+z^2*y2*x2+z^2*y2+z^2*x2^2*x1+z^2*x2*x1^2+z^2*x2+z^2+z*y1*x2^3*x1+z*y1*x2^2*x1^2+z*y1*x2^3+z*y1*x2^2*x1+z*y2*x2^2*x1+z*y2*x2*x1^2+z*y2*x2^2+z*y2*x2*x1+z*x2^3*x1^2+z*x2^2*x1^3+z*x2^3*x1+z*x2^2*x1^2+z*x2^2*x1+z*x2*x1^2+z*x2^2+z*x2*x1+y1*x2^3*x1^2+y1*x2^2*x1^3+y1*x2^3*x1+y1*x2*x1^3+y1*x2^2*x1+y1*x2*x1^2+x2^3*x1^3+x2^2*x1^4+x2^3*x1^2+x2*x1^4+x2^2*x1^2+x2*x1^3 j[10]=T(6)*x2+T(6)+T(7)*z*x1^2+T(7)*z*x1+T(7)*y1*x2*x1^3+T(7)*y1*x1^4+T(7)*y1*x2^2*x1+T(7)*y1*x2*x1^2+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y2*x1^4+T(7)*y2*x2*x1+T(7)*x2^3*x1+T(7)*x2*x1^3+T(7)*x2*x1+T(7)*x1^2+z^2*y1*x2*x1^2+z^2*y1*x1^3+z^2*y1*x2^2+z^2*y1*x2*x1+z^2*y2*x2*x1^2+z^2*y2*x2^2+z^2*y2*x2+z^2*x2^2*x1^2+z^2*x1^4+z^2*x2*x1^2+z^2*x2^2+z^2*x2+z*y1*x2^2*x1^3+z*y1*x2*x1^4+z*y1*x2^4+z*y1*x2^3*x1+z*y1*x1^4+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x2^2+z*y2*x2^3*x1^3+z*y2*x2^2*x1^4+z*y2*x2^4*x1+z*y2*x2^3*x1^2+z*y2*x2*x1^4+z*y2*x2^3*x1+z*y2*x2^2*x1^2+z*y2*x2^3+z*y2*x2^2*x1+z*y2*x2*x1^2+z*y2*x2+z*y2*x1+z*x2^3*x1^4+z*x2^2*x1^5+z*x2^3*x1^3+z*x2*x1^5+z*x2^4*x1+z*x2^3*x1^2+z*x2^3*x1+z*x2*x1^3+z*x2^3+z*x2^2*x1+z*x2+z*x1+y1*x2^2*x1^4+y1*x2*x1^5+y1*x2^4*x1+y1*x2^3*x1^2+y1*x2^2*x1^3+y1*x1^5+y1*x2^3*x1+y1*x2*x1^3+y1*x1^4+y1*x2^2*x1+y1*x1^3+y1*x1^2+y2*x2^3*x1^4+y2*x2^2*x1^5+y2*x2^4*x1^2+y2*x2^2*x1^4+y2*x2^3*x1^2+y2*x2^2*x1^3+y2*x1^5+y2*x2^2*x1^2+y2*x2*x1^3+y2*x2*x1^2+x2^3*x1^5+x2^2*x1^6+x2^4*x1^3+x2^3*x1^4+x2^2*x1^5+x2*x1^6+x2^4*x1^2+x2^2*x1^4+x2^3*x1^2+x2*x1^4+x2^2*x1^2+x2*x1^3 j[11]=T(5)*x1^3+T(5)*x1^2+T(6)+T(7)*z*x1^4+T(7)*z*x1+T(7)*y1*x2*x1^5+T(7)*y1*x1^6+T(7)*y1*x2*x1^4+T(7)*y1*x1^5+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y2*x1^6+T(7)*y2*x1^5+T(7)*y2*x2*x1^3+T(7)*y2*x1^4+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*y2*x1+T(7)*x2^3*x1+T(7)*x1^4+T(7)*x2*x1^2+T(7)*x2*x1+T(7)*x1^2+T(7)*x1+z^2*y1*x2*x1^4+z^2*y1*x1^5+z^2*y1*x2*x1^3+z^2*y1*x1^4+z^2*y1*x2^2+z^2*y1*x2*x1+z^2*y2*x2*x1^4+z^2*y2*x2*x1^2+z^2*y2*x2^2+z^2*y2*x1^2+z^2*y2*x2+z^2*x2^2*x1^4+z^2*x1^6+z^2*x1^5+z^2*x2^2*x1^2+z^2*x1^4+z^2*x2*x1^2+z^2*x2^2+z^2*x2+z*y1*x2^2*x1^5+z*y1*x2*x1^6+z*y1*x2^2*x1^4+z*y1*x2*x1^5+z*y1*x1^6+z*y1*x1^5+z*y1*x2^4+z*y1*x2^3*x1+z*y1*x2*x1^3+z*y1*x1^4+z*y1*x1^3+z*y1*x2^2+z*y1*x1^2+z*y1*x2+z*y1*x1+z*y2*x2^3*x1^5+z*y2*x2^2*x1^6+z*y2*x2^3*x1^4+z*y2*x2^2*x1^5+z*y2*x2*x1^6+z*y2*x2*x1^5+z*y2*x2^4*x1+z*y2*x2*x1^4+z*y2*x2^3*x1+z*y2*x2*x1^3+z*y2*x2^3+z*y2*x2^2*x1+z*y2*x2*x1^2+z*y2*x1^3+z*y2*x2+z*y2*x1+z*y2+z*x2^3*x1^6+z*x2^2*x1^7+z*x2^2*x1^6+z*x2*x1^7+z*x2^4*x1^3+z*x2^3*x1^4+z*x2^2*x1^5+z*x2*x1^6+z*x2^4*x1^2+z*x2^2*x1^4+z*x2^4*x1+z*x2^3*x1^2+z*x2*x1^3+z*x2^3+z*x2^2*x1+z*x2*x1^2+z*x1^3+z*x2+z*x1+z+y1*x2^2*x1^6+y1*x2*x1^7+y1*x2*x1^6+y1*x1^7+y1*x2^2*x1^4+y1*x2^4*x1+y1*x2^3*x1^2+y1*x2^2*x1^3+y1*x2*x1^4+y1*x1^5+y1*x2^3*x1+y1*x2^2*x1^2+y1*x1^4+y1*x2^2*x1+y1*x1^3+y1*x1^2+y2*x2^3*x1^6+y2*x2^2*x1^7+y2*x1^7+y2*x2^4*x1^2+y2*x2*x1^5+y2*x1^6+y2*x2^3*x1^2+y2*x1^5+y2*x2^2*x1^2+y2*x2*x1^3+y2*x2*x1^2+y2*x1^3+x2^3*x1^7+x2^2*x1^8+x2^4*x1^5+x2*x1^8+x2^4*x1^4+x2*x1^7+x2^4*x1^3+x2^3*x1^4+x2^2*x1^5+x2*x1^6+x2^4*x1^2+x2*x1^5+x2^3*x1^2+x2^2*x1^3+x2^2*x1^2+x2*x1^3 j[12]=T(5)*x2*x1^2+T(5)*x1^2+T(7)*z*x2*x1^3+T(7)*z*x2*x1+T(7)*y2*x2*x1^5+T(7)*y2*x2*x1^4+T(7)*y2*x2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x1^3+T(7)*x2*x1+T(7)*x1^2+T(7)*x1+z^2*y1*x2^2*x1^2+z^2*y1*x2*x1^3+z^2*y1*x2^2+z^2*y1*x2*x1+z^2*y1*x2+z^2*y1*x1+z^2*y2*x2*x1^4+z^2*y2*x2*x1+z^2*y2*x2+z^2*y2+z^2*x2^2*x1^4+z^2*x2*x1^5+z^2*x2^2*x1^3+z^2*x2^2*x1^2+z^2*x2*x1^3+z^2*x2*x1+z^2*x1^2+z^2*x2+z^2+z*y1*x2*x1^5+z*y1*x2*x1^4+z*y1*x2*x1^3+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x2+z*y1*x1+z*y2*x2^2*x1^5+z*y2*x2^2*x1^4+z*y2*x2^2*x1^3+z*y2*x2^2*x1+z*y2*x2*x1+z*y2*x1^2+z*y2*x2+z*y2*x1+z*y2+z*x2^4*x1^5+z*x2^3*x1^6+z*x2^4*x1^4+z*x2^3*x1^5+z*x2^4*x1^3+z*x2^3*x1^4+z*x2^4*x1+z*x2^3*x1^2+z*x2^3*x1+z*x2^2*x1^2+z*x2*x1^3+z*x2^2*x1+z*x2*x1^2+z*x2*x1+z*x1^2+z*x2+z*x1+z+y1*x2^3*x1^4+y1*x2^2*x1^5+y1*x2^3*x1^3+y1*x2^2*x1^4+y1*x2*x1^5+y1*x2^3*x1^2+y1*x2^2*x1^3+y1*x2*x1^4+y1*x2^3*x1+y1*x2^2*x1^2+y1*x2*x1^2+y1*x1^3+y2*x2^4*x1^4+y2*x2^2*x1^6+y2*x2^3*x1^4+y2*x2^2*x1^5+y2*x2*x1^6+y2*x2^4*x1^2+y2*x2^2*x1^4+y2*x2*x1^5+y2*x2^3*x1^2+y2*x2^2*x1^3+y2*x2*x1^4+y2*x1^3+x2^4*x1^6+x2^3*x1^7+x2^5*x1^4+x2^2*x1^7+x2^4*x1^4+x2^2*x1^6+x2^5*x1^2+x2^4*x1^3+x2^3*x1^4+x2^2*x1^5+x2^4*x1^2+x2^2*x1^4+x2^2*x1^3+x2*x1^4+x2^2*x1^2+x2*x1^3 j[13]=T(5)*x2^3*x1+T(5)*x2^2*x1+T(6)*y2+T(6)*x1+T(7)*z*x1^5+T(7)*z*x1^4+T(7)*z*x2*x1^2+T(7)*z*x2*x1+T(7)*z+T(7)*y1*x2*x1^6+T(7)*y1*x1^7+T(7)*y1*x2*x1^4+T(7)*y1*x1^5+T(7)*y1*x2^3*x1+T(7)*y1*x2*x1^3+T(7)*y2*x1^7+T(7)*y2*x1^4+T(7)*y2*x2*x1^2+T(7)*y2*x1^3+T(7)*y2*x2*x1+T(7)*y2*x1^2+T(7)*y2*x1+T(7)*x2^4*x1+T(7)*x2*x1^4+T(7)*x2*x1^3+T(7)*x2*x1^2+T(7)*x1^3+T(7)*x2*x1+z^2*y1*x2*x1^5+z^2*y1*x1^6+z^2*y1*x2*x1^3+z^2*y1*x1^4+z^2*y1*x2^3+z^2*y1*x2^2*x1+z^2*y1*x2*x1^2+z^2*y1*x1^3+z^2*y1*x2*x1+z^2*y1*x1^2+z^2*y1*x2+z^2*y1*x1+z^2*y2*x2*x1^5+z^2*y2*x2*x1^4+z^2*y2*x2^3+z^2*y2*x2*x1^2+z^2*y2*x1^3+z^2*y2*x2^2+z^2*y2*x1^2+z^2*y2*x2+z^2*y2*x1+z^2*y2+z^2*x2^2*x1^5+z^2*x1^7+z^2*x2^2*x1^4+z^2*x2*x1^4+z^2*x2*x1^3+z^2*x1^4+z^2*x2^2*x1+z^2*x2*x1^2+z^2*x2^2+z^2*x1^2+z^2+z*y1*x2^2*x1^6+z*y1*x2*x1^7+z*y1*x1^7+z*y1*x2^2*x1^4+z*y1*x2*x1^5+z*y1*x2^5+z*y1*x2^4*x1+z*y1*x2^2*x1^2+z*y1*x1^4+z*y1*x2^2*x1+z*y1*x1^3+z*y1*x2^2+z*y1*x2*x1+z*y1*x1^2+z*y1*x1+z*y2*x2^3*x1^6+z*y2*x2^2*x1^7+z*y2*x2*x1^7+z*y2*x2^3*x1^4+z*y2*x2^2*x1^5+z*y2*x2^5*x1+z*y2*x2^3*x1^3+z*y2*x2*x1^4+z*y2*x2^4+z*y2*x2^2*x1^2+z*y2*x2^2*x1+z*y2*x1^2+z*y2*x2+z*x2^3*x1^7+z*x2^2*x1^8+z*x2^3*x1^6+z*x2*x1^8+z*x2^2*x1^5+z*x2*x1^6+z*x2^3*x1^3+z*x2^2*x1^4+z*x2^4*x1+z*x2^4+z*x2^3*x1+z*x2^2*x1+z*x2*x1^2+z*x2*x1+z*x1^2+z*x2+y1*x2^2*x1^7+y1*x2*x1^8+y1*x2^2*x1^6+y1*x1^8+y1*x2^2*x1^5+y1*x2*x1^6+y1*x1^7+y1*x2^5*x1+y1*x2^4*x1^2+y1*x2^3*x1^3+y1*x2^2*x1^4+y1*x2*x1^5+y1*x1^6+y1*x2^3*x1^2+y1*x2^2*x1^3+y1*x2*x1^4+y1*x2^3*x1+y1*x2*x1^3+y1*x1^4+y1*x2*x1^2+y1*x2^2+y1*x2*x1+y1*x1^2+y1*x1+y2*x2^3*x1^7+y2*x2^2*x1^8+y2*x2^3*x1^6+y2*x2^2*x1^7+y2*x1^8+y2*x2^5*x1^2+y2*x2^4*x1^3+y2*x2^3*x1^4+y2*x2*x1^6+y2*x2^4*x1^2+y2*x2^3*x1^3+y2*x2^2*x1^4+y2*x2*x1^5+y2*x2^4*x1+y2*x2^3*x1^2+y2*x2^2*x1^3+y2*x2*x1^4+y2*x1^5+y2*x2^3*x1+y2*x2^2*x1^2+y2*x2*x1^3+y2*x1^4+y2*x2*x1^2+y2*x1^2+x2^3*x1^8+x2^2*x1^9+x2^4*x1^6+x2^3*x1^7+x2^2*x1^8+x2*x1^9+x2^4*x1^5+x2^3*x1^6+x2^5*x1^3+x2^4*x1^4+x2^3*x1^5+x2^2*x1^6+x2^5*x1^2+x2^4*x1^3+x2^2*x1^5+x2*x1^6+x2^4*x1^2+x2^3*x1^3+x2^2*x1^2+x2*x1^3+x2^2*x1+x2*x1^2 j[14]=T(4)+T(5)*y2*x1^2+T(5)*y2*x1+T(5)*x1^2+T(5)+T(6)*y1*x1+T(6)*y2*x1+T(6)+T(7)*z*x2*x1^2+T(7)*z*x1^3+T(7)*z*x2*x1+T(7)*z*x1+T(7)*y1*x2*x1^4+T(7)*y1*x1^5+T(7)*y1*x2^3*x1+T(7)*y1*x1^4+T(7)*y1*x2^2*x1+T(7)*y1*x1^3+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y2*x2*x1^4+T(7)*y2*x1^5+T(7)*y2*x1^4+T(7)*y2*x2^2*x1+T(7)*y2*x2*x1^2+T(7)*y2*x1+T(7)*x2^4*x1+T(7)*x2*x1^4+T(7)*x2*x1^2+T(7)*x1^3+T(7)*x2*x1+T(7)*x1+z^2*y1*x2*x1^3+z^2*y1*x1^4+z^2*y1*x2^3+z^2*y1*x2^2*x1+z^2*y1*x2*x1^2+z^2*y1*x1^3+z^2*y1*x2+z^2*y1*x1+z^2*y2*x2^3+z^2*y2*x2^2+z^2*y2*x2*x1+z^2*y2*x2+z^2*y2+z^2*x2*x1^4+z^2*x1^5+z^2*x2^2*x1^2+z^2*x1^4+z^2*x2^3+z^2*x2^2*x1+z^2*x2*x1^2+z^2*x2^2+z^2*x2*x1+z^2*x2+z*y1*x2^2*x1^4+z*y1*x2*x1^5+z*y1*x2^5+z*y1*x2^4*x1+z*y1*x2^2*x1^3+z*y1*x1^5+z*y1*x2^3*x1+z*y1*x2*x1^3+z*y1*x1^4+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x2+z*y1*x1+z*y2*x2^3*x1^4+z*y2*x2^2*x1^5+z*y2*x2^5*x1+z*y2*x2*x1^5+z*y2*x2^4*x1+z*y2*x2^2*x1^3+z*y2*x2*x1^4+z*y2*x2^4+z*y2*x2*x1^3+z*y2*x1^2+z*y2*x2+z*y2+z*x2^4*x1^4+z*x2^2*x1^6+z*x2^2*x1^5+z*x2*x1^6+z*x2^5*x1+z*x2^4*x1^2+z*x2^3*x1^3+z*x2*x1^5+z*x2^4*x1+z*x2^3*x1^2+z*x2^2*x1^3+z*x2*x1^4+z*x2^4+z*x2*x1^3+z*x2^2*x1+z*x1^2+z*x2+z+y1*x2^2*x1^5+y1*x2*x1^6+y1*x2^5*x1+y1*x2^4*x1^2+y1*x2^3*x1^3+y1*x2^2*x1^4+y1*x2*x1^5+y1*x1^6+y1*x2^4*x1+y1*x2^2*x1^3+y1*x2^2*x1^2+y1*x2*x1+y1*x1^2+y1*x1+y2*x2^3*x1^5+y2*x2^2*x1^6+y2*x2^5*x1^2+y2*x2^4*x1^3+y2*x2^3*x1^4+y2*x2^2*x1^5+y2*x2^4*x1^2+y2*x2^3*x1^3+y2*x2*x1^5+y2*x1^6+y2*x2^3*x1^2+y2*x2*x1^4+y2*x1^5+y2*x2*x1^2+y2*x2*x1+y2*x1+x2^4*x1^5+x2^2*x1^7+x2^5*x1^3+x2^3*x1^5+x2^2*x1^6+x2*x1^7+x2^5*x1^2+x2^4*x1^3+x2^3*x1^4+x2*x1^6+x2^4*x1^2+x2*x1^5+x2^2*x1^3+x2*x1^4 j[15]=T(7)*y2*x1^2+T(7)*y2*x1+z^2*y1+z^2*y2*x1+z^2*x2*x1+z^2*x1^2+z*y1*x1^2+z*y1*x1+z*y2*x2*x1^2+z*y2*x2*x1+z*x2^3*x1^2+z*x2^2*x1^3+z*x2^3*x1+z*x2^2*x1^2+y1*x2*x1^2+y1*x2*x1+y1*x1^2+y1*x1+y2*x2*x1^3+y2*x2*x1^2+y2*x1^3+y2*x1^2+x2^3*x1^3+x2^2*x1^4+x2^3*x1^2+x2*x1^4+x2^2*x1^2+x2*x1^3 j[16]=T(7)*y2*x2*x1+T(7)*y2*x1+T(7)*x2^2*x1+T(7)*x2*x1^2+z^2*y1+z^2*y2*x2+z^2*y2+z^2*x2+z^2*x1+z^2+z*y1*x2^3+z*y1*x2^2*x1+z*y1*x2*x1+z*y1*x1+z*y2*x2^2*x1+z*y2*x2^2+z*x2^4*x1+z*x2^3*x1^2+z*x2^2+z*x2*x1+y1*x2^3*x1+y1*x2^2*x1^2+y1*x2*x1^2+y1*x1+y2*x2^2*x1^2+y2*x1^2+x2^4*x1^2+x2^3*x1^3+x2^3*x1^2+x2^2*x1^3 j[17]=T(7)*y1+T(7)*y2*x1+z^2*y2+z^2*x2+z^2*x1+z^2+z*y1*x2+z*y1*x1+z*y2*x2^2+z*y2*x2*x1+z*x2^3*x1+z*x2^2*x1^2+z*x2^2+z*x2*x1+y2*x2^2*x1+y2*x2*x1^2+y2*x2*x1+y2*x1^2+x2^3*x1^2+x2^2*x1^3+x2^2*x1^2+x2*x1^3 j[18]=T(7)*z*x1+z^2*y1*x2+z^2*y2+z^2*x2*x1+z^2+y1*x2^2*x1^2+y1*x2^2*x1+y2*x2^3*x1^2+y2*x2^2*x1^2+x2^4*x1^2+x2^3*x1^3 j[19]=T(6)*y2+T(6)*x1+T(7)*x2*x1^2+T(7)*x1^3+z^2*x2*x1+z^2*x1^2+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y2*x2*x1+z*y2*x1^2+z*x2^2*x1^2+z*x2*x1^3+z*x2*x1+z*x1^2+y1*x2^2*x1^2+y1*x2*x1^3+y1*x2*x1^2+y1*x1^3+y2*x2^2*x1^2+y2*x2*x1^3+y2*x2*x1^2+y2*x1^3 j[20]=T(6)*y1+T(6)*x1+T(7)*x2*x1^2+T(7)*x1^3+z^3*y1*x2^2*x1+z^3*y1*x1^3+z^3*y1*x2^2+z^3*y1*x2*x1+z^3*y1*x2+z^3*y1*x1+z^3*y2*x2^2*x1+z^3*y2*x2*x1^2+z^3*y2*x2^2+z^3*y2*x2*x1+z^3*y2*x1^2+z^3*y2+z^3*x2^3*x1^2+z^3*x2*x1^4+z^3*x2^3*x1+z^3*x2^2*x1^2+z^3*x2^2+z^3*x2*x1+z^3*x1^2+z^3+z*y1*x2^4*x1^3+z*y1*x2^2*x1^5+z*y1*x2^2*x1^4+z*y1*x2*x1^5+z*y1*x2^4*x1+z*y1*x2*x1^4+z*y1*x2^2*x1^2+z*y1*x2*x1^3+z*y2*x2*x1+z*y2*x1^2+z*x2^4*x1^4+z*x2^2*x1^6+z*x2^2*x1^5+z*x2*x1^6+z*x2^4*x1^2+z*x2*x1^5+z*x2^2*x1^3+z*x2*x1^4+z*x2*x1+z*x1^2+y1*x2^5*x1^4+y1*x2^3*x1^6+y1*x2^5*x1^3+y1*x2^4*x1^4+y1*x2^5*x1^2+y1*x2^4*x1^3+y1*x2^5*x1+y1*x2^4*x1^2+y1*x2^4*x1+y1*x2^3*x1^2+y2*x2^6*x1^4+y2*x2^4*x1^6+y2*x2^4*x1^5+y2*x2^3*x1^6+y2*x2^6*x1^2+y2*x2^3*x1^5+y2*x2^4*x1^3+y2*x2^3*x1^4+y2*x2^4*x1^2+y2*x2^3*x1^3+x2^7*x1^4+x2^6*x1^5+x2^5*x1^6+x2^4*x1^7+x2^6*x1^4+x2^4*x1^6+x2^7*x1^2+x2^6*x1^3+x2^5*x1^4+x2^4*x1^5+x2^6*x1^2+x2^4*x1^4 j[21]=T(6)*z+z^3*y1*x2^2*x1^3+z^3*y1*x1^5+z^3*y1*x2^3*x1+z^3*y1*x2*x1^3+z^3*y1*x2^3+z^3*y1*x2^2*x1+z^3*y1*x2^2+z^3*y1*x2*x1+z^3*y1*x1^2+z^3*y2*x2^2*x1^3+z^3*y2*x2*x1^4+z^3*y2*x2^3*x1+z^3*y2*x2^2*x1^2+z^3*y2*x2*x1^3+z^3*y2*x1^4+z^3*y2*x2^3+z^3*y2*x2^2*x1+z^3*y2*x2*x1^2+z^3*y2*x1^2+z^3*y2*x2+z^3*y2+z^3*x2^3*x1^4+z^3*x2*x1^6+z^3*x2^4*x1^2+z^3*x2^2*x1^4+z^3*x2^4*x1+z^3*x2^3*x1^2+z^3*x2^2*x1^3+z^3*x2*x1^4+z^3*x2*x1^3+z^3*x1^4+z^3*x2^3+z^3*x2^2*x1+z^3*x1^2+z^3*x2+z^3+z*y1*x2^4*x1^5+z*y1*x2^2*x1^7+z*y1*x2^5*x1^3+z*y1*x2^4*x1^4+z*y1*x2^2*x1^6+z*y1*x2*x1^7+z*y1*x2^2*x1^5+z*y1*x2*x1^6+z*y1*x2^5*x1+z*y1*x2^2*x1^4+z*y1*x2^3*x1^2+z*y1*x2^2*x1^3+z*y1*x2*x1^4+z*y1*x2^3*x1+z*y1*x2^2*x1^2+z*y1*x2*x1^3+z*y1*x1^4+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x1^3+z*y1*x2*x1+z*y1*x1^2+z*y2*x2^2*x1^4+z*y2*x2^2*x1^3+z*y2*x2*x1^4+z*y2*x2*x1^3+z*x2^4*x1^6+z*x2^2*x1^8+z*x2^5*x1^4+z*x2^4*x1^5+z*x2^2*x1^7+z*x2*x1^8+z*x2^2*x1^6+z*x2*x1^7+z*x2^5*x1^2+z*x2^2*x1^5+z*x2^3*x1^3+z*x2^2*x1^4+z*x2^2*x1^2+z*x2*x1^3+y1*x2^5*x1^6+y1*x2^3*x1^8+y1*x2^6*x1^4+y1*x2^4*x1^6+y1*x2^6*x1^3+y1*x2^3*x1^6+y1*x2^6*x1^2+y1*x2^5*x1^3+y1*x2^4*x1^4+y1*x2^3*x1^5+y1*x2^6*x1+y1*x2^5*x1^2+y1*x2^4*x1^3+y1*x2^5*x1+y1*x2^2*x1^4+y1*x2^3*x1^2+y1*x2^3*x1+y1*x2^2*x1^2+y2*x2^6*x1^6+y2*x2^4*x1^8+y2*x2^7*x1^4+y2*x2^6*x1^5+y2*x2^4*x1^7+y2*x2^3*x1^8+y2*x2^4*x1^6+y2*x2^3*x1^7+y2*x2^7*x1^2+y2*x2^4*x1^5+y2*x2^5*x1^3+y2*x2^4*x1^4+y2*x2^3*x1^5+y2*x2^5*x1^2+y2*x2^4*x1^3+y2*x2^3*x1^3+y2*x2^3*x1^2+y2*x2^2*x1^3+x2^7*x1^6+x2^6*x1^7+x2^5*x1^8+x2^4*x1^9+x2^8*x1^4+x2^4*x1^8+x2^7*x1^4+x2^5*x1^6+x2^8*x1^2+x2^7*x1^3+x2^6*x1^4+x2^4*x1^6+x2^7*x1^2+x2^3*x1^6+x2^4*x1^4+x2^3*x1^5+x2^5*x1^2+x2^3*x1^4 j[22]=T(5)*y2+T(5)*x2^2*x1+T(7)*z+T(7)*y2*x2+T(7)*y2*x1+T(7)*y2+T(7)*x2^2*x1+T(7)*x2*x1+z^3*y1*x2*x1+z^3*y1*x1^2+z^3*y1*x2+z^3*y1*x1+z^3*y2*x2*x1+z^3*y2*x2+z^3*y2*x1+z^3*y2+z^3*x2^2*x1^2+z^3*x2*x1^3+z^3*x2^2*x1+z^3*x2*x1^2+z^3*x2*x1+z^3*x2+z^3*x1+z^3+z^2*y1*x2+z^2*y2+z^2*x2+z*y1*x2^3*x1^3+z*y1*x2^2*x1^4+z*y1*x2^2*x1^3+z*y1*x2*x1^4+z*y1*x2^3*x1+z*y1*x2^2*x1^2+z*y1*x2^3+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x2+z*y1*x1+z*y1+z*y2*x2*x1+z*x2^3*x1^4+z*x2^2*x1^5+z*x2^2*x1^4+z*x2*x1^5+z*x2^3*x1^2+z*x2^2*x1^3+z*x2^4+z*x2^3*x1+z*x2*x1^3+z*x2^3+z*x2^2+z*x2+y1*x2^4*x1^4+y1*x2^3*x1^5+y1*x2^4*x1^3+y1*x2^3*x1^4+y1*x2^4*x1^2+y1*x2^3*x1^3+y1*x2^4*x1+y1*x2^3*x1^2+y1*x2^2*x1+y1*x2*x1^2+y1*x2^2+y1*x1^2+y2*x2^5*x1^4+y2*x2^4*x1^5+y2*x2^4*x1^4+y2*x2^3*x1^5+y2*x2^5*x1^2+y2*x2^4*x1^3+y2*x2^4*x1^2+y2*x2^3*x1^3+y2*x2^3*x1^2+y2*x2^2*x1^2+y2*x2*x1+y2*x1+x2^6*x1^4+x2^4*x1^6+x2^6*x1^2+x2^4*x1^4+x2^4*x1^2+x2^3*x1^3+x2^2*x1^2+x2*x1^3+x2^2*x1+x2*x1^2 j[23]=T(5)*y1+T(5)*x2^2*x1+T(7)*y2*x1+T(7)*x2*x1^2+T(7)*x2*x1+z^3*y1*x2^4+z^3*y1*x1^4+z^3*y1*x2^2*x1+z^3*y1*x2*x1^2+z^3*y1*x2^2+z^3*y1*x2*x1+z^3*y1*x1^2+z^3*y1*x2+z^3*y1*x1+z^3*y2*x2^4+z^3*y2*x2^3*x1+z^3*y2*x2*x1^3+z^3*y2*x2^3+z^3*y2*x1^3+z^3*y2*x2*x1+z^3*y2*x2+z^3*y2*x1+z^3*y2+z^3*x2^5*x1+z^3*x2*x1^5+z^3*x2^3*x1^2+z^3*x2^2*x1^3+z^3*x2^4+z^3*x2^3+z^3*x2*x1^2+z^3*x1^3+z^3*x2*x1+z^3*x2+z^3*x1+z^3+z^2*y1*x2+z^2*y1+z^2*x2^2+z^2*x2*x1+z^2*x2+z^2*x1+z*y1*x2^6*x1^2+z*y1*x2^2*x1^6+z*y1*x2^6*x1+z*y1*x2^5*x1^2+z*y1*x2^2*x1^5+z*y1*x2*x1^6+z*y1*x2^5*x1+z*y1*x2*x1^5+z*y1*x2^2*x1^3+z*y1*x2^2*x1^2+z*y1*x2*x1^3+z*y1*x2^2*x1+z*y1*x2*x1^2+z*y1*x2^2+z*y1*x1+z*y2*x2^3*x1^3+z*y2*x2^3*x1^2+z*y2*x2^2*x1^3+z*y2*x2^2*x1^2+z*y2*x2+z*x2^6*x1^3+z*x2^5*x1^4+z*x2^4*x1^5+z*x2^2*x1^7+z*x2^6*x1^2+z*x2^5*x1^3+z*x2^4*x1^4+z*x2^3*x1^5+z*x2^2*x1^6+z*x2*x1^7+z*x2^4*x1^3+z*x2^3*x1^4+z*x2^2*x1^5+z*x2*x1^6+z*x2^4*x1^2+z*x2^3*x1^3+z*x2^2*x1^4+z*x2*x1^5+z*x2^3*x1^2+z*x2^2*x1^3+z*x2^3*x1+z*x2^2*x1^2+z*x2*x1^3+z*x2^2*x1+z*x2*x1+z*x2+y1*x2^7*x1^3+y1*x2^6*x1^4+y1*x2^5*x1^5+y1*x2^3*x1^7+y1*x2^7*x1+y1*x2^6*x1^2+y1*x2^5*x1^2+y1*x2^3*x1^2+y1*x2^3*x1+y1*x2^2*x1^2+y1*x2^2*x1+y1*x2*x1+y1*x1^2+y1*x1+y2*x2^8*x1^3+y2*x2^4*x1^7+y2*x2^8*x1^2+y2*x2^7*x1^3+y2*x2^6*x1^4+y2*x2^5*x1^5+y2*x2^4*x1^6+y2*x2^3*x1^7+y2*x2^7*x1^2+y2*x2^3*x1^6+y2*x2^6*x1^2+y2*x2^5*x1^3+y2*x2^3*x1^5+y2*x2^3*x1^3+y2*x2^3*x1^2+y2*x2^3*x1+y2*x2^2*x1^2+y2*x2*x1^2+y2*x2*x1+y2*x1^2+x2^9*x1^3+x2^8*x1^4+x2^5*x1^7+x2^4*x1^8+x2^9*x1^2+x2^8*x1^3+x2^5*x1^6+x2^4*x1^7+x2^6*x1^4+x2^5*x1^5+x2^6*x1^3+x2^4*x1^5+x2^5*x1^3+x2^4*x1^4+x2^4*x1^2+x2^3*x1^3+x2^2*x1^2+x2*x1^3 j[24]=T(7)*z*y2+z^2*y1+z^2*y2*x2+z^2*x2^3+z^2*x2^2*x1+y1*x2^4*x1+y1*x2^3*x1^2+y1*x2^3*x1+y1*x2^2*x1^2+y1*x2^2*x1+y1*x2^2+y2*x2^4*x1+y2*x2^3*x1^2+y2*x2^3*x1+y2*x2^2*x1+x2^4*x1^2+x2^3*x1^3+x2^4*x1+x2^3*x1^2 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j[32]=z^3+z*y1*x2*x1+z*y1*x1+z*y2*x2*x1+z*y2*x1+y1*x2^3*x1+y1*x2^2*x1^2+y2*x2^3*x1^2+y2*x2^2*x1 j[33]=T(7)*z^2+z*y1*x2^2+z*y1*x1+z*y2*x2^2*x1+z*y2*x2*x1+z*x2^2*x1+z*x2*x1^2+y1*x2^4*x1+y1*x2^2*x1+y2*x2^5*x1+y2*x2^3*x1+x2^6*x1^2+x2^5*x1^3+x2^4*x1^2+x2^3*x1^3 > ring r1=2,(f41,f35,f34,f32,f29,f26,f23,z19,y15,y12,x9,u9),wp(41,35,34,32,29,26,23,19,15,12,9,9); > map phi=R,f23,f26,f29,f32,f35,f41,f34,z19,y15,y12,x9,u9; > ideal i1=phi(j); > option(redSB); > ideal j1=std(i1);j1; j1[1]=y12^2+y15*x9+y15*u9+y12 j1[2]=y15*y12+x9^2*u9+x9*u9^2+y15 j1[3]=y15^2+y12*x9*u9 j1[4]=f32+f23*x9+f23*u9+f29 j1[5]=f23*y12+f26*u9+f23*u9+f23 j1[6]=f35+f26*u9+f23*x9+f29+f23 j1[7]=f26*y12+f29*x9+f29*u9+f26*x9+f23*u9+f23 j1[8]=f23*y15+f29*u9+f26*u9 j1[9]=z19^2+f29*u9+y15*x9*u9+f23*u9+y12*x9*u9+y15*u9+f23+y12*u9 j1[10]=f29*y12+f23*x9^2+f23*x9*u9+f29*x9+f29*u9+f26*x9+f23*u9+f29+f26+f23 j1[11]=f26*y15+f23*x9^2+f23*x9*u9+f29*u9+f26*u9 j1[12]=f41+f23*x9*u9+f23*u9^2 j1[13]=f23*z19+y15*x9^2*u9+y12*x9^2*u9 j1[14]=z19*y15*x9+f34*u9+f29*u9+z19*x9*u9+f26*u9+f23*u9+z19*y12+z19 j1[15]=f29*y15+f26*x9*u9+f23*x9^2+f29*u9+f26*u9+f23*x9 j1[16]=f26*z19+x9^4*u9+x9^3*u9^2+y15*x9^3+y12*x9^2*u9 j1[17]=f34*y12+z19*x9^3+z19*x9^2*u9+f23*x9^2+f23*x9*u9+z19*y12*x9+f26*u9+z19*y15+f23*u9+f29+f26+f23 j1[18]=f23^2+z19*x9^2*u9+f23*x9*u9+f23*u9 j1[19]=f29*z19+y12*x9^3*u9+y15*x9^3+y12*x9^2*u9+y15*x9^2 j1[20]=f34*y15+z19*y12*x9^2+f26*x9*u9+f34*u9+f23*x9*u9+z19*x9^2+f23*x9+f23*u9+z19*y12+z19 j1[21]=f26*f23+z19*y12*x9^2+z19*x9^2*u9+f26*x9*u9+z19*x9^2+f26*u9 j1[22]=f29*f23+f34*x9*u9+z19*y12*x9^2+f26*x9*u9+f23*x9*u9+z19*y12*x9+f29*u9+z19*x9^2+z19*x9 j1[23]=f26^2+f34*x9^2+f34*x9*u9+z19*x9^3+f23*x9^2+z19*y12*x9+f29*x9+f29*u9+f26*u9+f23*x9+f23*u9+z19*x9+f26+f23 j1[24]=f34*z19+f26*x9^2*u9+f23*x9^3+f29*x9*u9+y12*x9^2*u9+f29*u9+f26*u9+y15*x9^2+f23*x9+y12*x9*u9+x9^2*u9+x9*u9^2+y15*u9 j1[25]=f29*f26+z19*x9^4+z19*x9^3*u9+f34*x9^2+f23*x9^3+f23*x9^2*u9+z19*x9^3+z19*x9^2*u9+f29*x9+f23*x9+f23*u9+f26+f23 j1[26]=f34*f23+y12*x9^4*u9+x9^5*u9+x9^4*u9^2+f34*x9*u9+y15*x9^3*u9+y12*x9^3*u9+x9^4*u9+x9^3*u9^2+y15*x9^2*u9+z19*y12*x9+f29*u9+f26*u9+f23*u9+z19*x9 j1[27]=f29^2+z19*y12*x9^3+f26*x9^2*u9+f34*x9^2+f34*x9*u9+f23*x9^2*u9+z19*x9^3+f26*x9*u9+f23*x9*u9+z19*y12*x9+f29*x9+f29*u9+f26*u9+f23*u9+z19*x9+f26+f23 j1[28]=f34*f26+y15*x9^5+y15*x9^4*u9+y12*x9^5+z19*x9^4+z19*x9^3*u9+f34*x9*u9+y15*x9^4+f23*x9^3+f23*x9^2*u9+z19*y12*x9^2+y12*x9^4+x9^5+x9^4*u9+f26*x9*u9+y15*x9^2*u9+f23*x9^2+z19*y12*x9+f29*u9+z19*x9^2+x9^4+x9^3*u9+z19*x9 j1[29]=f34*f29+x9^6*u9+x9^5*u9^2+z19*y12*x9^3+y12*x9^5+y12*x9^4*u9+z19*x9^4+z19*x9^3*u9+x9^5*u9+x9^4*u9^2+f26*x9^2*u9+y15*x9^4+y15*x9^3*u9+f23*x9^3+z19*y12*x9^2+y12*x9^4+y12*x9^3*u9+z19*x9^2*u9+x9^5+x9^4*u9+y15*x9^3+y15*x9^2*u9+z19*x9^2+x9^4+x9^3*u9+f26*u9+f23*x9 j1[30]=f34^2+f23*x9^5+f23*x9^4*u9+f29*x9^4+f29*x9^3*u9+x9^6*u9+x9^5*u9^2+f26*x9^4+f26*x9^3*u9+y15*x9^5+y15*x9^4*u9+z19*y12*x9^3+f29*x9^3+f29*x9^2*u9+x9^5*u9+x9^4*u9^2+f26*x9^2*u9+f23*x9^3+y12*x9^4+y12*x9^3*u9+z19*x9^2*u9+f26*x9^2+y15*x9^3+y15*x9^2*u9+f23*x9^2+x9^4+x9^2*u9^2+f23*x9+f23*u9+y12*x9^2+y12*x9*u9+x9^2*u9+x9*u9^2+x9^2+x9*u9 \end{verbatim} It is clear from the final Gr\"obner basis given here that f32, f35, f41 were unnecessary, though I would append the unnecessary elements z19*y12 and z19*y15 to get an $\mathbf{F}_2[x9,u9]$-module generating set for this as an affine algebra, which is almost an algebra. [At the very least, it must be worthwhile to interreduce the numerators after first reducing them modulo the ideal of the original ring, an alternate way to see that three of the six numerators were unnecessary.] My output on this example in char 2 is: \begin{verbatim} WT_MATRIX_T= [ [ 34, 34, 31, 29, 26, 23, 19, 15, 12, 9, 9 ], [ 30, 21, 21, 24, 24, 15, 12, 9, 9, 9, 0 ] ] I= 1 y_34_30*y_9_0+y_34_21*y_9_9+y_34_21*y_9_0+y_31_21+y_19_12 2 y_12_9^2+y_15_9*y_9_9+y_15_9*y_9_0+y_12_9 3 y_15_9^2+y_12_9*y_9_9*y_9_0 4 y_15_9*y_12_9+y_15_9+y_9_9^2*y_9_0+y_9_9*y_9_0^2 5 y_19_12^2+y_29_24*y_9_0+y_23_15 6 y_19_12*y_15_9+y_34_21 7 y_19_12*y_12_9+y_31_21 8 y_23_15^2+y_23_15*y_9_9*y_9_0+y_23_15*y_9_0+y_19_12*y_9_9^2*y_9_0 9 y_23_15*y_19_12+y_19_12*y_9_9*y_9_0+y_19_12*y_9_0+y_15_9*y_9_9^2*y_9_0 +y_12_9*y_9_9^2*y_9_0 10 y_23_15*y_15_9+y_29_24*y_9_0+y_26_24*y_9_0+y_23_15*y_9_0 11 y_23_15*y_12_9+y_26_24*y_9_0+y_23_15*y_9_0+y_23_15 12 y_26_24^2+y_34_30*y_9_9^2+y_29_24*y_9_9^2+y_29_24*y_9_9*y_9_0 +y_29_24*y_9_9+y_29_24*y_9_0+y_26_24*y_9_9^2+y_26_24*y_9_9*y_9_0 +y_26_24*y_9_0+y_26_24+y_23_15*y_9_9^2+y_23_15+y_19_12*y_9_9^2*y_9_0 13 y_26_24*y_23_15+y_31_21*y_9_9^2+y_26_24*y_9_9*y_9_0+y_26_24*y_9_0 +y_19_12*y_9_9^2*y_9_0+y_19_12*y_9_9^2 14 y_26_24*y_19_12+y_31_21*y_9_9+y_31_21+y_19_12*y_9_9*y_9_0 +y_19_12*y_9_9+y_19_12*y_9_0+y_19_12+y_15_9*y_9_9^3 +y_12_9*y_9_9^2*y_9_0+y_9_9^4*y_9_0+y_9_9^3*y_9_0^2 15 y_26_24*y_15_9+y_29_24*y_9_0+y_26_24*y_9_0+y_23_15*y_9_9^2 +y_23_15*y_9_9*y_9_0+y_23_15*y_9_0 16 y_26_24*y_12_9+y_29_24*y_9_9+y_29_24*y_9_0+y_26_24*y_9_9 +y_23_15*y_9_9+y_23_15 17 y_29_24^2+y_34_30*y_9_9^2+y_31_21*y_9_9^3+y_29_24*y_9_9^2 +y_29_24*y_9_9*y_9_0+y_29_24*y_9_9+y_29_24*y_9_0+y_26_24*y_9_9^2*y_9_0 +y_26_24*y_9_9^2+y_26_24*y_9_0+y_26_24+y_ 23_15*y_9_9^2*y_9_0 +y_23_15*y_9_9+y_23_15*y_9_0+y_23_15 18 y_29_24*y_26_24+y_34_30*y_9_9^2+y_34_21*y_9_9^2+y_31_21*y_9_9^2 +y_29_24*y_9_9^2+y_29_24*y_9_9+y_26_24*y_9_9^2+y_26_24*y_9_9*y_9_0 +y_26_24*y_9_0+y_26_24+y_23_15*y_9_9^3+y_23_15*y_9_9^2*y_9_0 +y_23_15*y_9_0+y_23_15+y_19_12*y_9_9^4+y_19_12*y_9_9^3*y_9_0 +y_19_12*y_9_9^2 19 y_29_24*y_23_15+y_34_21*y_9_9^2+y_31_21*y_9_9^2+y_29_24*y_9_9*y_9_0 +y_29_24*y_9_0+y_19_12*y_9_9^2 20 y_29_24*y_19_12+y_34_21*y_9_9+y_34_21+y_31_21*y_9_9+y_31_21 +y_19_12*y_9_9+y_19_12+y_15_9*y_9_9^3+y_15_9*y_9_9^2*y_9_0 +y_15_9*y_9_9^2+y_12_9*y_9_9^3*y_9_0 21 y_29_24*y_15_9+y_26_24*y_9_9*y_9_0+y_23_15*y_9_9^2+y_23_15*y_9_9 22 y_29_24*y_12_9+y_29_24*y_9_9+y_29_24*y_9_0+y_29_24+y_26_24*y_9_9 +y_26_24*y_9_0+y_26_24+y_23_15*y_9_9^2+y_23_15*y_9_9*y_9_0 +y_23_15*y_9_9+y_23_15*y_9_0+y_23_15 23 y_31_21^2+y_29_24*y_9_0+y_26_24*y_9_9^2*y_9_0^2+y_26_24*y_9_9*y_9_0^3 +y_23_15*y_9_9^3*y_9_0+y_23_15*y_9_9^2*y_9_0^2+y_23_15 24 y_31_21*y_29_24+y_34_21*y_9_9^2+y_34_21*y_9_9*y_9_0+y_34_21*y_9_0 +y_34_21+y_19_12*y_9_9^3*y_9_0+y_19_12*y_9_9^2*y_9_0^2 +y_19_12*y_9_9^2*y_9_0+y_19_12*y_9_9*y_9_0^2+y_15_9*y_9_9^4*y_9_0 +y_15_9*y_9_9^3*y_9_0^2+y_15_9*y_9_9^3+y_15_9*y_9_9^2*y_9_0 +y_15_9*y_9_9^2+y_12_9*y_9_9^3*y_9_0+y_9_9^5*y_9_0+y_9_9^3*y_9_0^3 +y_9_9^4*y_9_0+y_9_9^3*y_9_0^2 25 y_31_21*y_26_24+y_34_21*y_9_9^2+y_34_21*y_9_9*y_9_0+y_34_21*y_9_9 +y_34_21*y_9_0+y_31_21*y_9_9*y_9_0+y_31_21*y_9_0+y_15_9*y_9_9^3*y_9_0 +y_15_9*y_9_9^2*y_9_0^2+y_15_9*y_9_9^3+y_12_9*y_9_9^4*y_9_0 +y_12_9*y_9_9^3*y_9_0^2+y_12_9*y_9_9^2*y_9_0+y_9_9^5*y_9_0 +y_9_9^4*y_9_0^2 26 y_31_21*y_23_15+y_31_21*y_9_9*y_9_0+y_31_21*y_9_0+y_15_9*y_9_9^3*y_9_0 +y_15_9*y_9_9^2*y_9_0^2+y_15_9*y_9_9^2*y_9_0+y_12_9*y_9_9^2*y_9_0 +y_9_9^4*y_9_0^2+y_9_9^3*y_9_0^3 27 y_31_21*y_19_12+y_29_24*y_9_9*y_9_0+y_29_24*y_9_0^2+y_29_24*y_9_0 +y_26_24*y_9_9*y_9_0+y_26_24*y_9_0^2+y_23_15*y_9_9^2*y_9_0 +y_23_15*y_9_9*y_9_0^2+y_23_15*y_9_9*y_9_0+y_23_15*y_9_0^2+y_23_15 28 y_31_21*y_15_9+y_34_21+y_19_12*y_9_9^2*y_9_0+y_19_12*y_9_9*y_9_0^2 29 y_31_21*y_12_9+y_34_21*y_9_9+y_34_21*y_9_0+y_31_21 30 y_34_21^2+y_29_24*y_9_9^2*y_9_0^2+y_29_24*y_9_9*y_9_0^3 +y_29_24*y_9_9*y_9_0^2+y_26_24*y_9_9^2*y_9_0^2+y_26_24*y_9_9*y_9_0^3 +y_23_15*y_9_9^3*y_9_0^2+y_23_15*y_9_9^2*y_9_0^3+y_23_15*y_9_9^2*y_9_0^2 +y_23_15*y_9_9*y_9_0^3+y_23_15*y_9_9*y_9_0 31 y_34_21*y_31_21+y_29_24*y_9_9^2*y_9_0^2+y_29_24*y_9_9*y_9_0^3 +y_29_24*y_9_0+y_26_24*y_9_9*y_9_0^2+y_26_24*y_9_0 +y_23_15*y_9_9*y_9_0^2+y_23_15*y_9_9*y_9_0+y_23_15*y_9_0 32 y_34_21*y_29_24+y_31_21*y_9_9^2*y_9_0+y_31_21*y_9_9*y_9_0 +y_19_12*y_9_9^3*y_9_0+y_19_12*y_9_9^2*y_9_0^2+y_19_12*y_9_9^2*y_9_0 +y_19_12*y_9_9*y_9_0^2+y_15_9*y_9_9^3*y_9_0+y_12_9*y_9_9^4*y_9_0 +y_12_9*y_9_9^3*y_9_0^2+y_12_9*y_9_9^3*y_9_0+y_9_9^5*y_9_0^2 +y_9_9^4*y_9_0^3 33 y_34_21*y_26_24+y_34_21*y_9_9*y_9_0+y_34_21*y_9_0+y_19_12*y_9_9^3*y_9_0 +y_19_12*y_9_9^2*y_9_0^2+y_19_12*y_9_9^2*y_9_0+y_19_12*y_9_9*y_9_0^2 +y_15_9*y_9_9^4*y_9_0+y_15_9*y_9_9^3*y_9_0^2+y_15_9*y_9_9^2*y_9_0 +y_12_9*y_9_9^4*y_9_0+y_9_9^4*y_9_0^2+y_9_9^3*y_9_0^3 34 y_34_21*y_23_15+y_34_21*y_9_9*y_9_0+y_34_21*y_9_0+y_15_9*y_9_9^2*y_9_0 +y_12_9*y_9_9^3*y_9_0^2+y_9_9^4*y_9_0^2+y_9_9^3*y_9_0^3 35 y_34_21*y_19_12+y_29_24*y_9_0+y_26_24*y_9_9*y_9_0^2+y_26_24*y_9_0 +y_23_15*y_9_9^2*y_9_0+y_23_15*y_9_9*y_9_0+y_23_15*y_9_0 36 y_34_21*y_15_9+y_31_21*y_9_9*y_9_0 37 y_34_21*y_12_9+y_34_21+y_19_12*y_9_9^2*y_9_0+y_19_12*y_9_9*y_9_0^2 38 y_34_30^2+y_29_24*y_9_9^4+y_29_24*y_9_9^3*y_9_0+y_29_24*y_9_9^2*y_9_0^2 +y_29_24*y_9_9*y_9_0^3+y_29_24*y_9_9^3+y_29_24*y_9_9*y_9_0^2 +y_26_24*y_9_9^4+y_26_24*y_9_9^3*y_9_0+y_26_24*y_9_9^2*y_9_0^2 +y_26_24*y_9_9*y_9_0^3+y_26_24*y_9_9^2+y_26_24*y_9_9*y_9_0 +y_23_15*y_9_9^5+y_23_15*y_9_9^4*y_9_0+y_23_15*y_9_9^3*y_9_0^2 +y_23_15*y_9_9^2*y_9_0^3+y_23_15*y_9_9^4+y_23_15*y_9_9^3*y_9_0 +y_23_15*y_9_9^2*y_9_0^2+y_23_15*y_9_9*y_9_0^3+y_23_15*y_9_9^2 +y_23_15*y_9_9*y_9_0 39 y_34_30*y_34_21+y_29_24*y_9_9^3*y_9_0+y_29_24*y_9_9*y_9_0^3 +y_26_24*y_9_9^3*y_9_0+y_26_24*y_9_9*y_9_0^3+y_23_15*y_9_9^4*y_9_0 +y_23_15*y_9_9^2*y_9_0^3+y_23_15*y_9_9^3*y_9_0+y_23_15*y_9_9*y_9_0^3 40 y_34_30*y_31_21+y_29_24*y_9_9^3*y_9_0+y_29_24*y_9_9*y_9_0^3 +y_23_15*y_9_9^3+y_23_15*y_9_9*y_9_0^2 41 y_34_30*y_29_24+y_34_30*y_9_9+y_34_30+y_31_21*y_9_9^3 +y_31_21*y_9_9^2*y_9_0+y_31_21*y_9_9^2+y_31_21*y_9_9*y_9_0 +y_19_12*y_9_9^4+y_19_12*y_9_9^2*y_9_0^2+y_19_12*y_9_9^2*y_9_0 +y_19_12*y_9_9*y_9_0^2+y_19_12*y_9_9^2+y_19_12*y_9_9*y_9_0 +y_12_9*y_9_9^5+y_12_9*y_9_9^3*y_9_0^2+y_12_9*y_9_9^4 +y_12_9*y_9_9^3*y_9_0+y_9_9^6*y_9_0+y_9_9^4*y_9_0^3+y_9_9^5 +y_9_9^3*y_9_0^2+y_9_9^4+y_9_9^3*y_9_0 42 y_34_30*y_26_24+y_34_30*y_9_9+y_34_30+y_34_21*y_9_9^2 +y_34_21*y_9_9*y_9_0+y_34_21*y_9_9+y_34_21*y_9_0+y_31_21*y_9_9 +y_31_21+y_19_12*y_9_9^4+y_19_12*y_9_9^2*y_9_0^2+y_19_12*y_9_9^3 +y_19_12*y_9_9*y_9_0^2+y_19_12*y_9_9+y_19_12+y_15_9*y_9_9^5 +y_15_9*y_9_9^3*y_9_0^2+y_12_9*y_9_9^5+y_12_9*y_9_9^4*y_9_0 +y_12_9*y_9_9^4+y_12_9*y_9_9^3*y_9_0+y_9_9^5*y_9_0+y_9_9^3*y_9_0^3 +y_9_9^5+y_9_9^4*y_9_0+y_9_9^4+y_9_9^3*y_9_0 43 y_34_30*y_23_15+y_34_21*y_9_9^2+y_34_21*y_9_9*y_9_0+y_34_21*y_9_9 +y_34_21*y_9_0+y_31_21*y_9_9+y_31_21+y_19_12*y_9_9+y_19_12 +y_12_9*y_9_9^4*y_9_0+y_12_9*y_9_9^3*y_9_0^2+y_9_9^5*y_9_0 +y_9_9^3*y_9_0^3+y_9_9^4*y_9_0+y_9_9^3*y_9_0^2 44 y_34_30*y_19_12+y_26_24*y_9_9^2*y_9_0+y_26_24*y_9_9*y_9_0^2 +y_23_15*y_9_9^3+y_23_15*y_9_9^2*y_9_0 45 y_34_30*y_15_9+y_31_21*y_9_9^2+y_31_21*y_9_9*y_9_0+y_19_12*y_9_9^2 +y_19_12*y_9_9*y_9_0 46 y_34_30*y_12_9+y_19_12*y_9_9^3+y_19_12*y_9_9*y_9_0^2 delta= x_9_9^3*x_9_0^3+x_9_9^2*x_9_0^4+x_9_9^3*x_9_0^2+x_9_9*x_9_0^4+ x_9_9^2*x_9_0^2+x_9_9*x_9_0^3 phi= 1 x_19_12*x_15_9*x_9_9^4*x_9_0^2+x_19_12*x_15_9*x_9_9^2*x_9_0^4+ x_19_12*x_15_9*x_9_9^4*x_9_0+x_19_12*x_15_9*x_9_9^3*x_9_0^2+ x_19_12*x_15_9*x_9_9^2*x_9_0^3+x_19_12*x_15_9*x_9_9*x_9_0^4+ x_19_12*x_12_9*x_9_9^3*x_9_0^2+x_19_12*x_12_9*x_9_9^2*x_9_0^3+ x_19_12*x_15_9*x_9_9^3*x_9_0+x_19_12*x_15_9*x_9_9*x_9_0^3+ x_19_12*x_12_9*x_9_9^3*x_9_0+x_19_12*x_12_9*x_9_9*x_9_0^3+ x_19_12*x_9_9^3*x_9_0^2+x_19_12*x_9_9^2*x_9_0^3+ x_19_12*x_12_9*x_9_9^2*x_9_0+x_19_12*x_12_9*x_9_9*x_9_0^2+ x_19_12*x_9_9^3*x_9_0+x_19_12*x_9_9*x_9_0^3+x_19_12*x_9_9^2*x_9_0+ x_19_12*x_9_9*x_9_0^2 2 x_19_12*x_15_9*x_9_9^3*x_9_0^3+x_19_12*x_15_9*x_9_9^2*x_9_0^4+ x_19_12*x_15_9*x_9_9^3*x_9_0^2+x_19_12*x_15_9*x_9_9*x_9_0^4+ x_19_12*x_15_9*x_9_9^2*x_9_0^2+x_19_12*x_15_9*x_9_9*x_9_0^3 3 x_19_12*x_12_9*x_9_9^3*x_9_0^3+x_19_12*x_12_9*x_9_9^2*x_9_0^4+ x_19_12*x_12_9*x_9_9^3*x_9_0^2+x_19_12*x_12_9*x_9_9*x_9_0^4+ x_19_12*x_12_9*x_9_9^2*x_9_0^2+x_19_12*x_12_9*x_9_9*x_9_0^3 4 x_19_12^2*x_9_9^3*x_9_0^2+x_19_12^2*x_9_9^2*x_9_0^3+ x_19_12^2*x_9_9^3*x_9_0+x_19_12^2*x_9_9*x_9_0^3+ x_19_12^2*x_12_9*x_9_9*x_9_0+x_19_12^2*x_15_9*x_9_9+ x_19_12^2*x_15_9*x_9_0+x_19_12^2*x_9_9*x_9_0+x_19_12^2*x_12_9+ x_19_12^2 5 x_19_12^2*x_15_9*x_9_9^2*x_9_0+x_19_12^2*x_15_9*x_9_9*x_9_0^2+ x_19_12^2*x_12_9*x_9_9^2*x_9_0+x_19_12^2*x_9_9^3*x_9_0+ x_19_12^2*x_9_9^2*x_9_0^2+x_19_12^2*x_15_9*x_9_9*x_9_0+ x_19_12^2*x_15_9*x_9_0^2+x_19_12^2*x_12_9*x_9_9*x_9_0+ x_19_12^2*x_9_9^2*x_9_0+x_19_12^2*x_15_9*x_9_9+x_19_12^2*x_15_9*x_9_0+ x_19_12^2*x_12_9*x_9_0+x_19_12^2*x_9_9*x_9_0+x_19_12^2*x_12_9+ x_19_12^2*x_9_0+x_19_12^2 6 x_19_12^2*x_12_9*x_9_9*x_9_0^2+x_19_12^2*x_9_9^2*x_9_0^2+ x_19_12^2*x_9_9*x_9_0^3+x_19_12^2*x_15_9*x_9_9*x_9_0+ x_19_12^2*x_15_9*x_9_0^2+x_19_12^2*x_9_9*x_9_0^2+x_19_12^2*x_12_9*x_9_0 +x_19_12^2*x_9_0 7 x_19_12*x_9_9^3*x_9_0^3+x_19_12*x_9_9^2*x_9_0^4+x_19_12*x_9_9^3*x_9_0^2+ x_19_12*x_9_9*x_9_0^4+x_19_12*x_9_9^2*x_9_0^2+x_19_12*x_9_9*x_9_0^3 8 x_15_9*x_9_9^3*x_9_0^3+x_15_9*x_9_9^2*x_9_0^4+x_15_9*x_9_9^3*x_9_0^2+ x_15_9*x_9_9*x_9_0^4+x_15_9*x_9_9^2*x_9_0^2+x_15_9*x_9_9*x_9_0^3 9 x_12_9*x_9_9^3*x_9_0^3+x_12_9*x_9_9^2*x_9_0^4+x_12_9*x_9_9^3*x_9_0^2+ x_12_9*x_9_9*x_9_0^4+x_12_9*x_9_9^2*x_9_0^2+x_12_9*x_9_9*x_9_0^3 10 x_9_9^4*x_9_0^3+x_9_9^3*x_9_0^4+x_9_9^4*x_9_0^2+x_9_9^2*x_9_0^4+ x_9_9^3*x_9_0^2+x_9_9^2*x_9_0^3 11 x_9_9^3*x_9_0^4+x_9_9^2*x_9_0^5+x_9_9^3*x_9_0^3+x_9_9*x_9_0^5+ x_9_9^2*x_9_0^3+x_9_9*x_9_0^4 psi= 1 f_19_12 2 f_15_9 3 f_12_9 4 f_9_9 5 f_9_0 0.480 seconds \end{verbatim} Here is a char 0 version in SINGULAR. The weighted version in SINGULAR 3-1-0 clearly only needs the functions T(2),T(8),T(9) to describe the integral closure over the input ring, as seen by looking at a standard (Gr\"obner) basis for the output: \begin{verbatim} SINGULAR / A Computer Algebra System for Polynomial Computations / version 3-1-0 0< by: G.-M. Greuel, G. Pfister, H. Schoenemann \ Mar 2009 FB Mathematik der Universitaet, D-67653 Kaiserslautern \ > LIB "normal.lib"; > ring r=0,(z,y1,y2,x2,x1),wp(19,15,12,9,9); > poly p1=y1^2-y2*x2*x1; > poly p2=y1*y2-y1-x2*x1*(x2+x1); > poly p3=y2^2-y2-y1*(x2+x1); > poly p4=z^3-z*(y1+y2)*(x2+1)*x1-(y2*(x2*x1+1)+y1*(x2+x1))*x2^2*x1; > ideal i=p1,p2,p3,p4; > list nor=normal(i); > nor; [1]: [1]: // characteristic : 0 // number of vars : 14 // block 1 : ordering dp // : names T(1) T(2) T(3) T(4) T(5) T(6) T(7) T(8) T(9) // block 2 : ordering wp // : names z y1 y2 x2 x1 // : weights 19 15 12 9 9 // block 3 : ordering C [2]: [1]: _[1]=-z^3+z*y1*x2*x1+z*y1*x1+z*y2*x1 _[2]=z^2*y1*x2 _[3]=z^3*x2+z^3*x1-z^3-z*y1*x1^2-z*y2*x1^2+z*y1*x1+z*y2*x1 _[4]=z^2*y1*y2-z^2*y1 _[5]=z^3*y2-z^3-z*y1*y2*x1-z*y1*x1^2+z*y1*x1 _[6]=z^3*y1-z*y1*y2*x1 _[7]=z^4-z^2*y1*x1-z^2*y2*x1 _[8]=z*y1*y2*x2^2-z^3-z*y1*x2^2+z*y1*x1+z*y2*x1 _[9]=z^2*y2*x2^2-z^2*x2^2-z^2*x2*x1 _[10]=y1^2 > def R=nor[1][1]; > setring R; > normap; normap[1]=z normap[2]=y1 normap[3]=y2 normap[4]=x2 normap[5]=x1 > norid; norid[1]=T(2)*y2-T(2)-T(4)*x2 norid[2]=-T(1)*y2+T(1)+T(3)*y2-T(3)-T(5)*x2-T(5)*x1 norid[3]=T(2)*y1-T(4)-T(9)*x1 norid[4]=-T(1)*y1+T(3)*y1-T(5)*y2 norid[5]=T(1)*z-T(2)*x1+T(7) norid[6]=-T(1)*y2+T(1)+T(2)*z-T(5)-T(6)*x2 norid[7]=-T(1)*y2+T(1)+T(4)*z+T(5)*y2-T(5)-T(6)*y2-T(6)*x2-T(6)*x1+T(6) norid[8]=-T(2)*x1+T(5)*z-T(7)*y2+T(7) norid[9]=-T(4)*y2+T(4)+T(6)*z-T(7)*y1+T(9)*x1 norid[10]=-T(2)*x1+T(7)+T(8)*z-T(9)*y1 norid[11]=T(1)*x2*x1+T(1)*x1^2-T(1)*y1-T(1)*x1+T(3)*x1+T(5)*y1-T(6)*y2 norid[12]=T(2)*x2*x1+T(2)*x1^2-T(4)*y1 norid[13]=T(1)*x1^2-T(1)*y1-T(1)*x1+T(3)*x2*x1+T(3)*x1-T(6)*y2 norid[14]=T(1)*y2*x1+T(1)*x1^2-T(1)*y1-2*T(1)*x1+T(3)*x1+T(5)*x2*x1+T(5)*y1+T(5)*x1-T(6)*y1-T(6)*y2 norid[15]=-T(2)*x1^2+T(3)*z*x1-T(4)*y2+T(4)-T(7)*x2*x1-T(7)*x1^2+T(7)*x1+T(9)*x1 norid[16]=T(2)*x2^2-T(2)*x1^2+T(2)*x1-T(3)*z+T(4)*y1+T(7)*x2+T(7)*x1-T(7)-T(9)*y2 norid[17]=-T(2)*x1+T(4)*x2^2-T(9)*y1 norid[18]=-T(1)*x1^2+T(1)*y1-T(3)*x1+T(5)*x2^2-T(5)*y1+T(6)*y2+T(8)*x1-T(9)*z-z*x1 norid[19]=T(1)*y2*x2-2*T(1)*x2+T(1)-T(3)+T(5)*x2-T(8)*x1+z norid[20]=T(4)*y2*x2-T(4)*x2-T(4)*x1-T(9)*x2*x1-T(9)*x1^2 norid[21]=T(1)*y1*x1-T(1)*x2^2+T(1)*x1^2-T(1)*y2-T(1)*x1+2*T(1)-T(3)*z-T(3)*x2+T(3)*x1-T(3)+T(5)*y2*x2+T(5)*y1+T(5)*y2-T(5)-T(6)*x2^2-T(6)*x2*x1-T(6)*y2-T(6)*x2+T(6)+T(7)*x2+T(7)*x1-T(8)*x1-z*x1+z norid[22]=T(1)*y1*x2+T(1)*x2^2-T(1)*x1^2-T(1)*x2+T(1)*x1+T(3)*z+T(3)*x2-T(3)*x1-T(5)*y1+T(6)*y2+T(6)*x2-T(6)-T(7)*x2-T(7)*x1+z*x1 norid[23]=T(4)*y1*x2-T(4)*y2+T(4)-T(9)*y2*x1+T(9)*x1 norid[24]=-T(1)*x2^2+T(1)*x1^2-T(1)*y2+T(1)*x2-T(1)*x1+T(1)-T(3)*z-T(3)*x2+T(3)*x1-T(5)*y1*x2+T(5)*y1+T(5)*y2-T(5)+T(6)*y1*x2+T(6)*y2*x2-2*T(6)*y2-2*T(6)*x2-T(6)*x1+2*T(6)+T(7)*x2+T(7)*x1-T(9)*z*x1-z*x1 norid[25]=-T(1)*x2^2+T(1)*x1^2-2*T(1)*y1+T(1)*y2+T(1)*x2-T(1)-T(3)*x2-T(4)*x2*x1-T(4)*y1+T(5)*y1-T(5)*y2+T(5)-T(6)*y2+T(6)*x2-T(6)+T(7)*y2-T(7)-T(8)*y1*x1-T(8)*x2*x1-T(8)*x1^2+z*x2+2*z*x1 norid[26]=T(2)*x1^2+T(3)*z*x2-T(4)*y1-T(4)-T(7)*x2^2-T(7)*x2*x1+T(7)*x2-T(9)*x1 norid[27]=T(1)*y1*y2+T(1)*x2^2-T(1)*x1^2-T(1)*y1-T(1)*x2+T(1)*x1+T(3)*z+T(3)*x2-T(3)*x1+T(5)*y1*x2-T(6)*y2*x2+T(6)*y2+T(6)*x2-T(6)-T(7)*x2-T(7)*x1+z*x1 norid[28]=-T(1)*x2-T(1)*x1+T(1)-T(3)+z*y2 norid[29]=T(1)*y1^2+2*T(1)*x1^2-2*T(1)*y1-T(1)*x1+T(3)*x1+T(5)*x2*x1+2*T(5)*y1-2*T(6)*y2-T(8)*x1^2+z*x1 norid[30]=T(1)*x2^2-T(1)*y1-T(1)*x2-T(1)+T(3)*z+T(3)*x2+T(4)*y2+T(4)*x2+T(4)*x1-T(4)+T(5)*y1*x2+T(5)*x2*x1+T(5)-T(6)*y2^2+T(6)*y1*x1-T(6)*y2*x2+2*T(6)*y2+2*T(6)*x2+T(6)*x1-2*T(6)-T(7)*x2^2-T(7)*x2*x1-T(7)*x2-T(7)*x1+T(8)*y1^2+T(8)*y1*x2+T(8)*y1*x1+T(8)*y2+T(9)*z*x1+T(9)*y2*x1+T(9)*x2*x1+T(9)*x1^2-T(9)*x1+z*x1 norid[31]=-T(1)*y2+T(1)-T(5)+z*y1 norid[32]=T(2)*x1-T(3)*z+T(7)*x2+T(7)*x1-T(7)+z^2 norid[33]=T(1)*x1^2-2*T(1)*y1-T(1)*x1+T(3)*z^2+T(3)*x1+T(5)*x2*x1+2*T(5)*y1-T(6)*x2*x1-2*T(6)*y1-2*T(6)*y2-T(7)*z*x2-T(7)*z*x1+T(7)*z norid[34]=T(1)*x1^2-2*T(1)*y1-T(1)*x1+T(3)*x1-T(4)*y1^2+T(4)*x1^2-T(4)*y2+T(5)*x2*x1+2*T(5)*y1-T(6)*x2*x1-2*T(6)*y1-2*T(6)*y2+T(7)*y2^2-T(7)*y1*x2-T(7)*y1*x1+T(7)*z-T(7)*y2+T(9)*x1^3-T(9)*y2*x1 norid[35]=-T(1)-y1*y2+x2*x1^2-y2*x2-z+y1 norid[36]=T(2)*x1^2-T(4)*y1*y2+T(4)*x2*x1^2+T(4)*y1+T(9)*y1*x1 norid[37]=T(1)*x1^3-T(1)*y1*x1-T(1)*x2^2+T(1)*x1^2-T(1)*y1+T(1)*x2-T(1)*x1-T(3)*z+T(3)*x1^2-T(3)*x2+T(3)*x1-T(5)*y1*y2+T(5)*x2*x1^2-T(5)*y1*x2+T(5)*y1*x1+2*T(5)*y1+T(6)*y2^2-T(6)*y1*x1+T(6)*y2*x2-T(6)*y2*x1-3*T(6)*y2-T(6)*x2+T(6)+T(7)*x2+T(7)*x1-T(8)*x1^2 norid[38]=T(1)*x1^3-T(1)*y1*x1-T(1)*x1^2-T(1)*y1+T(1)*y2+T(1)*x2-T(1)*x1-2*T(1)+T(2)*x1+T(3)*x1^2+T(3)+T(4)*x2*x1+T(4)*x1+T(5)*y1*x1-T(5)*y2+T(5)*x1+T(5)-T(6)*y2^2+T(6)*y1*x1-T(6)*y2*x1+2*T(6)*y2+T(6)*x2+T(6)*x1-2*T(6)+T(7)*y2^2-T(7)*y1*x2-T(7)*y1*x1-T(7)*y1-T(7)*y2+T(8)*x2*x1^2+T(8)*y2*x1+T(8)*x1+T(9)*z*x1+T(9)*x1^2+z*x1-z norid[39]=-T(1)*x1^2+2*T(1)*y1+T(1)*x1-T(3)*x1+T(4)*x2*x1+T(4)*y2-T(5)*x2*x1-2*T(5)*y1+T(6)*x2*x1+2*T(6)*y1+2*T(6)*y2-T(7)*y2^2+T(7)*y1*x2+T(7)*y1*x1-T(7)*z+T(7)*y2+T(9)*x2*x1^2+T(9)*y2*x1 norid[40]=T(1)*y1*x1^2+T(1)*y1*x1+T(1)*x2^2+T(1)*x1^2-T(1)*y1-T(1)*y2-T(1)*x2+T(1)-T(2)*x1^2+T(3)*z+T(3)*x2-T(4)*y2+T(4)+T(5)*y1^2+T(5)*y1*x2+T(5)*y2*x1+T(5)*x2*x1+T(5)*y1+T(5)*y2-T(5)-T(6)*y1*y2-T(6)*y2*x2-T(6)*x2*x1-T(6)*y2-T(7)*x2-T(8)*x1^2+T(9)*x1+z*x1 norid[41]=-T(1)*x1^3+2*T(1)*y1*x1-T(1)*x2^2+2*T(1)*x1^2+T(1)*y1-3*T(1)*y2-T(1)*x1+4*T(1)-T(2)*x1^2-T(2)*x1-T(3)*z-T(3)*x2+2*T(3)*x1-T(3)+T(4)*y1*y2+T(4)*y1*x1-T(4)*x2*x1-T(4)*y1-T(4)*x1-T(5)*y1*x2-T(5)*y1*x1+T(5)*y2*x1+T(5)*x2*x1+2*T(5)*y1+3*T(5)*y2-T(5)*x1-3*T(5)+T(6)*y2^2-T(6)*y1*x1+T(6)*y2*x2+T(6)*y2*x1-T(6)*x2*x1-T(6)*y1-4*T(6)*y2-4*T(6)*x2-2*T(6)*x1+4*T(6)-T(7)*y2^2+T(7)*y1*x2+T(7)*y1*x1-T(7)*y2*x1+T(7)*y1+T(7)*y2+T(7)*x2+2*T(7)*x1+T(8)*y1*x1^2+T(8)*x1^3-T(8)*y2*x1-T(8)*x1-T(9)*z*x1-T(9)*y1*x1-T(9)*x1^2-3*z*x1+z norid[42]=T(1)*y1-T(1)*y2+T(1)+T(5)*y2-T(5)-T(6)*x2-T(6)*x1+T(6)+z*x1^2-z*x1 norid[43]=-T(1)*y1*x1+T(1)*x1^2-T(1)*y1+2*T(1)*y2-2*T(1)+T(2)*x1^2-T(4)*y1*x1-T(4)*y2*x1+T(4)*y2-T(4)+T(5)*y1*x2*x1-T(5)*y1*x2-T(5)*x1^2-2*T(5)*y2+2*T(5)-T(6)*y1^2-T(6)*y1*y2+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*y2*x2+T(6)*x2*x1+T(6)*y1+T(6)*x2-T(6)+T(7)*x2*x1+T(7)*x1^2-T(7)*x1-T(8)*y2*x1^2-T(8)*y1*x1-T(9)*x1+z*x1 norid[44]=-T(1)*x1^3+T(1)*x1^2-T(1)*y1-T(1)*x2+T(1)*x1+T(1)+T(2)*x1^2-T(2)*x1-T(3)*x1^2-T(3)-T(4)*x2*x1+T(4)*y2-T(4)*x1-T(4)-T(5)*y1*x1+T(5)*y1-T(5)*x1+T(6)*y2^2-T(6)*y1*x1+T(6)*y2*x1+T(6)*x2*x1-2*T(6)*y2-T(6)*x1+T(6)-T(7)*y2^2+T(7)*y1*x2+T(7)*y1*x1-T(7)*y2*x2+T(7)*y1+T(7)*y2+T(7)*x2+T(8)*y1*x2*x1+T(8)*x2^2*x1-T(8)*y2*x1+T(8)*y1-T(8)*x1-T(9)*z*x1+T(9)*y1*x1+T(9)*y2*x1-T(9)*x1^2-T(9)*x1+z norid[45]=-T(1)*y1*x1+T(1)*x2^2-T(1)*x1^2-2*T(1)*y1+2*T(1)*y2-T(1)*x2-2*T(1)+T(3)*z+T(3)*x2+T(4)*y1^2+T(4)*y1*y2-T(4)*x2*x1-T(4)*y1+T(5)*y2^2+T(5)*x2*x1+T(5)*x1^2-3*T(5)*y2+2*T(5)-T(6)*y1^2+T(6)*y2*x2*x1-T(6)*y1*y2+T(6)*x2^2*x1+T(6)*x2*x1^2-T(6)*y2^2+T(6)*y1*x1-T(6)*y2*x2+T(6)*y1+2*T(6)*y2+3*T(6)*x2+T(6)*x1-3*T(6)-T(7)*y2^2+2*T(7)*y2-T(7)*x2-T(7)*x1-T(7)+T(8)*y1*y2*x1+T(8)*y2*x2*x1+T(8)*y2*x1^2-T(8)*y1*x1+T(9)*z*x1+2*z*x1 norid[46]=T(1)*y1*x1-2*T(1)*x2^2+2*T(1)*x1^2+2*T(1)*x2-2*T(1)*x1-2*T(3)*z-2*T(3)*x2+2*T(3)*x1+T(4)*y1*y2+T(4)*y2*x1-T(4)*y1+T(4)*x2+T(4)*x1-T(5)*y1*y2-2*T(5)*y1*x2-T(5)*y1*x1+2*T(5)*y1+T(6)*x2^2*x1+T(6)*x2*x1^2+2*T(6)*y2^2+2*T(6)*y2*x2+T(6)*y2*x1-4*T(6)*y2-2*T(6)*x2+2*T(6)-T(7)*y2^2*x1+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1^2-T(7)*y2*x2*x1-T(7)*z*x2-T(7)*z*x1+T(7)*y2*x1+2*T(7)*x2+2*T(7)*x1+T(9)*y1*y2*x1+T(9)*y1^2+T(9)*y2*x1^2-T(9)*y1*x1+T(9)*x2*x1+T(9)*x1^2-2*z*x1 norid[47]=-T(1)*x2^2-T(1)*x1^2+3*T(1)*y1+T(1)*x2-T(3)*z-T(3)*x2+T(4)*y1^2-T(4)*y2^2+2*T(4)*y1*x1+4*T(4)*y2-2*T(4)-T(5)*y1^2-T(5)*y1*y2-T(5)*y1*x2-T(5)*x2*x1-2*T(5)*y1+T(6)*y2*x2*x1+T(6)*y1*y2+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*y2^2+T(6)*y2*x2+T(6)*y1+T(6)*y2-T(6)*x2+T(6)-T(7)*z*y2-2*T(7)*y2^2+2*T(7)*y1*x2+2*T(7)*y1*x1+2*T(7)*y2+T(7)*x2+T(7)*x1+T(8)*x1^2+T(9)*y1^2*x1+T(9)*y1*x2*x1+T(9)*y1*x1^2+3*T(9)*y2*x1-2*T(9)*x1-2*z*x1 norid[48]=T(1)*x2^3+T(1)*x1^3-T(1)*y1*x1-3*T(1)*x2^2+T(1)*x1^2+2*T(1)*x2-3*T(1)*x1-2*T(3)*z+T(3)*x2^2+T(3)*x1^2-2*T(3)*x2+2*T(3)*x1+T(4)*y1+T(4)*y2-2*T(5)*y1*x2+T(5)*y1*x1+T(5)*y1+T(5)*x1+2*T(6)*y2*x2-T(6)*y2*x1-2*T(6)*y2-2*T(6)*x2+2*T(6)+T(7)*x2+T(7)*x1+T(8)*y2*x1-2*z*x1 norid[49]=-2*T(1)*y1+T(1)*y2-T(1)-T(4)*x2*x1-T(4)*y1+T(5)*y1-T(5)*y2+T(5)+T(6)*x2^3+T(6)*x2^2*x1-T(6)*y1-T(6)*y2+T(6)*x2-T(6)+T(7)*y2-T(7)-T(8)*y1*x1-T(9)*z*y2+z*x1 norid[50]=T(1)*x1^2-T(1)*y1-2*T(1)*x1+T(3)*x1+T(5)*x2*x1+T(5)*y1+T(5)*x1+T(6)*y2*x2^2-T(6)*x2^2-T(6)*x2*x1-T(6)*y1-T(6)*y2+T(8)*y2*x1-T(9)*z*y1 norid[51]=T(7)*y2*x2^2-T(7)*x2^2-T(7)*x2*x1-T(9)*z^2+T(9)*y1*x1+T(9)*y2*x1 norid[52]=T(1)*x2^2-T(1)*x1^2+2*T(1)*y1-T(1)*y2+T(1)*x1+T(1)+T(3)*x2+T(4)*x2*x1+T(4)*y1-T(5)*y1+T(5)*y2-T(5)+T(6)*y2-T(6)*x2+T(6)-T(7)*y2+T(7)+T(8)*y1*x1+T(8)*x2*x1+T(8)*x1^2+y1*y2*x2+y1^2+y2*x2^2-z*x1-y1*x2 norid[53]=T(1)*y2+T(1)*x2+T(1)*x1-T(1)+T(3)+y1^2*x2+y1*x2^2+y1*x2*x1+y2*x2 norid[54]=-T(1)*x1^3+T(1)*y2^2-2*T(1)*y1*x1+T(1)*x2^2-2*T(1)*y2-T(1)*x2+T(1)+T(3)*z+T(3)*x2-T(4)*y1*x1-T(4)*y2*x1+T(5)*y1^2*x2-2*T(5)*y2^2+T(5)*y1*x2+2*T(5)*y1*x1+T(5)*y2*x1+T(5)*x2*x1+3*T(5)*y2-T(5)+T(6)*y2^2*x2-2*T(6)*y1^2+2*T(6)*y2*x2*x1-T(6)*y1*y2+T(6)*x2^2*x1+T(6)*x2*x1^2+T(6)*y2^2-2*T(6)*y1*x1-T(6)*y2*x2-T(6)*y2*x1-T(6)*x2*x1-T(6)*x1^2-2*T(6)*y2-T(6)*x1+T(6)+T(7)*x2*x1+T(7)*x1^2-T(7)*x2-T(7)*x1+T(8)*x1^3-T(9)*z*y2*x1-T(9)*z*x2*x1-T(9)*z*x1^2-T(9)*z*x1 norid[55]=-T(4)*y2^2+T(4)*y1*x1+2*T(4)*y2-T(4)+T(7)*y1^2*x2-T(7)*y1*y2+T(7)*y2^2-T(7)*y1*x2-T(7)*y1*x1+T(7)*y1-T(7)*y2-T(9)*z^2*x1+T(9)*y1*x1^2-T(9)*y1^2+T(9)*y2*x2*x1+T(9)*y2*x1^2+T(9)*y2*x1-T(9)*x1 norid[56]=T(1)*y1-T(1)*x2-T(3)*x1-T(3)-T(5)*y1-T(5)*y2+T(5)+T(6)*y2+T(6)*x2+T(6)*x1+y1^3+y1^2*x1-y1*x2^2-2*y1*x2*x1-y2*x2 norid[57]=3*T(1)*y1*x1-2*T(1)*x2^2-T(1)*x1^2+3*T(1)*y1-3*T(1)*y2+2*T(1)*x2+T(1)*x1+3*T(1)+T(2)*x1-2*T(3)*z-2*T(3)*x2-T(3)*x1-T(4)*y2^3+T(4)*y1*y2*x1+T(4)*y2^2+2*T(4)*y1*x1+T(4)*y2*x1+3*T(4)*x2*x1+T(4)*y2+T(5)*y1^2+T(5)*y1*y2-T(5)*y1*x1-2*T(5)*y2*x1-3*T(5)*x2*x1+T(5)*x1^2-T(5)*y1+3*T(5)*y2-3*T(5)-T(6)*y2^2*x2+T(6)*y1^2-2*T(6)*y2*x2*x1-T(6)*y1*y2-T(6)*x2^2*x1-T(6)*x2*x1^2+3*T(6)*y2*x2+3*T(6)*y2*x1+4*T(6)*x2*x1+2*T(6)*x1^2+5*T(6)*y1-5*T(6)*x2-3*T(6)*x1+3*T(6)-T(7)*y1*y2^2+T(7)*y1^2*x1-T(7)*z*x2^2-T(7)*z*x2*x1-2*T(7)*y2^2*x2+2*T(7)*y1*x2^2+2*T(7)*y1*x2*x1+T(7)*z*y2-2*T(7)*y1^2+2*T(7)*y2*x2*x1+2*T(7)*y1*y2-2*T(7)*y2^2+2*T(7)*y1*x2+2*T(7)*y1*x1+2*T(7)*y2*x2-2*T(7)*z-T(7)*x2*x1-T(7)*x1^2-T(7)*y1+2*T(7)*y2+2*T(7)*x2+2*T(7)*x1+T(8)*y2*x1^2-T(8)*x1^2+T(9)*z^2*x1+T(9)*y1^3+T(9)*z*y2*x1+T(9)*y1^2*x2+2*T(9)*z*x2*x1+2*T(9)*z*x1^2+T(9)*y1^2-T(9)*y2*x2*x1-T(9)*y2*x1^2-T(9)*z*x1+3*T(9)*y1*y2-2*T(9)*x2^2*x1+T(9)*y2*x1-2*T(9)*y1-z*x1 norid[58]=-T(1)*x1^4-T(1)*x1^3-T(1)*y2^2+2*T(1)*y1*x1-4*T(1)*x2^2+8*T(1)*x1^2-2*T(1)*y1-T(1)*y2+3*T(1)*x2-5*T(1)*x1+3*T(1)+T(2)*x1^2-T(2)*x1-4*T(3)*z-4*T(3)*x2+6*T(3)*x1-T(3)-T(4)*y1^2-T(4)*y2*x1-T(4)*x2*x1+T(4)*y2-T(4)*x1-2*T(4)+T(5)*y1^3-T(5)*y1*x1^2-T(5)*y1^2+2*T(5)*y2^2-6*T(5)*y1*x2-3*T(5)*y1*x1+T(5)*y2*x1+2*T(5)*x2*x1-2*T(5)*x1^2+7*T(5)*y1-T(5)*x1-2*T(5)-T(6)*y1^2*y2+T(6)*y2^2*x1-T(6)*y1*x1^2+3*T(6)*y1^2-2*T(6)*y2*x2*x1+T(6)*y2*x1^2+T(6)*x2^2*x1+T(6)*x2*x1^2+2*T(6)*y2^2-2*T(6)*y1*x1+4*T(6)*y2*x2-T(6)*y2*x1-2*T(6)*x2*x1-2*T(6)*x1^2-3*T(6)*y1-11*T(6)*y2-7*T(6)*x2-2*T(6)*x1+7*T(6)-T(7)*y2^2*x1+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1*x1+T(7)*z+T(7)*x2*x1+T(7)*x1^2+T(7)*y1+4*T(7)*x2+3*T(7)*x1+T(8)*x1^4-2*T(8)*y2*x1^2+T(8)*x1^3-T(8)*y1*x1-T(8)*y2*x1-T(8)*x1-T(9)*z*x1^2-2*T(9)*z*x1-T(9)*y2*x1-T(9)*x1^2-2*T(9)*x1-5*z*x1+z norid[59]=-T(1)*x1^3+T(1)*y2^2-T(1)*y1*x1+T(1)*x2^2-3*T(1)*x1^2+T(1)*y1-T(1)*y2-T(1)*x2+T(1)*x1+T(3)*z+T(3)*x2-T(3)*x1+T(4)*y1*x1^2+T(4)*y2*x1^2-T(5)*y1^2*y2+T(5)*x1^3-2*T(5)*y2^2+2*T(5)*y1*x2+2*T(5)*y1*x1+T(5)*x1^2-2*T(5)*y1+2*T(5)*y2+T(6)*y1*y2^2-T(6)*y1^2+T(6)*y2*x2*x1-T(6)*x2^2*x1-T(6)*x2*x1^2-T(6)*y1+2*T(6)*y2+T(6)*x2-T(6)-T(7)*x2*x1^2-T(7)*x1^3-T(7)*x2-T(7)*x1+T(8)*y2*x1^3+T(8)*y2*x1^2+T(8)*x1^2 norid[60]=-T(1)*x1^3-4*T(1)*x2^2+3*T(1)*y1-2*T(1)*y2+3*T(1)*x2-T(1)*x1+3*T(1)+T(2)*x1^2-T(2)*x1-4*T(3)*z-4*T(3)*x2+2*T(3)*x1-T(3)+T(4)*y1*y2+2*T(4)*y1*x1+T(4)*y2*x1-T(4)*x2*x1-T(4)*y1+2*T(4)*y2-T(4)*x1-2*T(4)+T(5)*y1^3-T(5)*y1*x1^2-T(5)*y1^2-3*T(5)*y1*x2-T(5)*y1*x1-2*T(5)*y2*x1-2*T(5)*x2*x1+T(5)*x1^2+T(5)*y1+2*T(5)*y2-T(5)*x1-2*T(5)-T(6)*y1^3-T(6)*y1^2*y2+T(6)*y1*x1^2+T(6)*y2*x2*x1+T(6)*y2*x1^2+2*T(6)*y1*y2-T(6)*x2^2*x1-T(6)*x2*x1^2+T(6)*y2^2-T(6)*y1*x1+3*T(6)*y2*x2+2*T(6)*y2*x1+2*T(6)*x2*x1+T(6)*x1^2-3*T(6)*y2-5*T(6)*x2-3*T(6)*x1+5*T(6)-T(7)*y2^2+T(7)*y1*x2+T(7)*y1*x1-T(7)*y2*x1-T(7)*x2*x1-T(7)*x1^2+T(7)*y1+T(7)*y2+4*T(7)*x2+3*T(7)*x1+T(8)*y2*x1^2+T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+T(8)*x1^2-T(8)*x1+T(9)*z*y2*x1^2+T(9)*z*x1^2-T(9)*z*x1-T(9)*y1*x1-T(9)*x1^2-2*T(9)*x1-5*z*x1+z norid[61]=-T(1)*y1*x1+2*T(1)*x2^2-2*T(1)*x1^2-2*T(1)*x2+2*T(1)*x1+2*T(3)*z+2*T(3)*x2-2*T(3)*x1-T(4)*y1*y2-T(4)*y2*x1+T(4)*y1-T(4)*x2-T(4)*x1+T(5)*y1*y2+2*T(5)*y1*x2+T(5)*y1*x1-2*T(5)*y1-T(6)*x2^2*x1-T(6)*x2*x1^2-2*T(6)*y2^2-2*T(6)*y2*x2-T(6)*y2*x1+4*T(6)*y2+2*T(6)*x2-2*T(6)+T(7)*y1*x2^3+T(7)*y1*x2^2*x1+T(7)*y2^2*x1-T(7)*y1*x2*x1-T(7)*y1*x1^2-T(7)*y1^2+T(7)*z*x2+T(7)*z*x1-T(7)*y2*x1-2*T(7)*x2-2*T(7)*x1-T(9)*z^2*y2+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2-T(9)*y2*x1^2+T(9)*y1*x1+T(9)*y2*x1-T(9)*x2*x1-T(9)*x1^2+2*z*x1 norid[62]=-T(1)*x1^3+6*T(1)*y1*x1-2*T(1)*x2^2-4*T(1)*x1^2+14*T(1)*y1+3*T(1)*y2+2*T(1)*x2+6*T(1)*x1-3*T(1)+T(2)*x1^3-T(2)*x1^2-2*T(3)*z-2*T(3)*x2-6*T(3)*x1+T(4)*y1^3*y2+T(4)*y1*y2^3-3*T(4)*y1^3-2*T(4)*y1^2*y2-T(4)*y1^2*x1-T(4)*y2^3+T(4)*y1*y2*x1+T(4)*y2^2*x1+T(4)*y1*x1^2+3*T(4)*y1^2+2*T(4)*y2*x1^2+T(4)*y1*y2-T(4)*y2^2+4*T(4)*y1*x1+2*T(4)*y2*x1+6*T(4)*x2*x1-2*T(4)*y1+12*T(4)*y2+T(4)*x2-T(4)*x1-3*T(4)-T(5)*y1^3-T(5)*y1*y2*x1^2-3*T(5)*y1^2*y2-T(5)*y1*x1^3-T(5)*y1^2*x1+T(5)*y1^2-T(5)*y2*x1^2-5*T(5)*y1*y2-2*T(5)*y1*x2-3*T(5)*y1*x1-T(5)*y2*x1-8*T(5)*x2*x1-11*T(5)*y1-3*T(5)*y2+3*T(5)+T(6)*y1^3+T(6)*y1*y2*x1^2+4*T(6)*y1^2*y2-T(6)*y2^2*x2*x1+T(6)*y2^2*x1^2+T(6)*y1*x1^3+3*T(6)*y1^2*x1+T(6)*y2*x1^3+T(6)*x2^2*x1^2+T(6)*x2*x1^3-3*T(6)*y2^2*x2+T(6)*y2^2*x1-2*T(6)*y1*x1^2-3*T(6)*y2*x2*x1-T(6)*y2*x1^2+T(6)*y1*y2+2*T(6)*x2^2*x1+3*T(6)*x2*x1^2+3*T(6)*y2^2+4*T(6)*y1*x1+8*T(6)*y2*x2+3*T(6)*y2*x1+8*T(6)*x2*x1+T(6)*x1^2+14*T(6)*y1+12*T(6)*y2-2*T(6)*x2+2*T(6)*x1-T(6)-2*T(7)*y1*y2^2*x2-T(7)*z*y1*y2-T(7)*z*x2*x1^2-T(7)*z*x1^3+T(7)*y1^3-T(7)*y1*y2*x2*x1-T(7)*z*y2^2+T(7)*z*y1*x2+T(7)*z*y1*x1-2*T(7)*y2^2*x2*x1+2*T(7)*y1*x2^2*x1+2*T(7)*y1*x2*x1^2-T(7)*y1*y2^2+T(7)*y2*x2*x1^2-T(7)*z^2+4*T(7)*y1*y2*x2+2*T(7)*y1*y2*x1+T(7)*z*y1-4*T(7)*y2^2*x2+4*T(7)*y1*x2^2-6*T(7)*y2^2*x1+11*T(7)*y1*x2*x1+6*T(7)*y1*x1^2+T(7)*z*y2+3*T(7)*y2*x2*x1-T(7)*z*x2-T(7)*z*x1+2*T(7)*x2^2*x1+2*T(7)*x2*x1^2-8*T(7)*y2^2+6*T(7)*y1*x2+6*T(7)*y1*x1+4*T(7)*y2*x2+6*T(7)*y2*x1-7*T(7)*z-T(7)*x1^2+T(7)*y1+8*T(7)*y2+2*T(7)*x2+3*T(7)*x1+T(8)*x1^3-3*T(8)*y1*x1-2*T(8)*x1^2+2*T(9)*z^2*x2*x1+2*T(9)*z^2*x1^2+T(9)*z^2*x1+3*T(9)*z*y1*x1+T(9)*z*y2*x1+3*T(9)*z*x2*x1+T(9)*z*x1^2+T(9)*y1*x2*x1-T(9)*y1^2+2*T(9)*y2*x2*x1+T(9)*y2*x1^2+4*T(9)*z*x1+6*T(9)*y1*y2-6*T(9)*x2^2*x1-2*T(9)*y1*x1+10*T(9)*y2*x1+T(9)*x2*x1-T(9)*x1^2-6*T(9)*y1-3*T(9)*x1-z*x1 norid[63]=-T(1)*x1^3+23*T(1)*y2^2-12*T(1)*y1*x1+30*T(1)*x2^2-72*T(1)*x1^2+16*T(1)*y1-37*T(1)*y2-27*T(1)*x2+35*T(1)*x1+11*T(1)-T(2)*x1^3-2*T(2)*x1^2+3*T(2)*x1+30*T(3)*z+30*T(3)*x2-37*T(3)*x1+3*T(3)-T(4)*y1^2*y2-T(4)*y1*x1^3-T(4)*y2*x1^3+2*T(4)*y1*y2*x1+T(4)*y2^2*x1+T(4)*y1*x1^2-3*T(4)*y1^2+T(4)*y2*x1^2-5*T(4)*y1*y2-T(4)*y2^2+12*T(4)*y1*x1+12*T(4)*y2*x1+5*T(4)*y1-9*T(4)*y2+5*T(4)*x1+4*T(4)+T(5)*y1^3*y2+T(5)*y1^2*y2*x1-T(5)*y1*y2^2*x1+T(5)*y1^2*x1^2-2*T(5)*y1^3-T(5)*y2^2*x1^2+T(5)*y1*x1^3+5*T(5)*y1*y2^2-5*T(5)*y1^2*x1+T(5)*y1*y2*x1-3*T(5)*y2^2*x1+3*T(5)*y1*x1^2+T(5)*y2*x1^2+6*T(5)*y1*y2-44*T(5)*y2^2+66*T(5)*y1*x2+46*T(5)*y1*x1-8*T(5)*y2*x1-7*T(5)*x2*x1+26*T(5)*x1^2-40*T(5)*y1+58*T(5)*y2+2*T(5)*x1-14*T(5)-T(6)*y1^2*y2^2-T(6)*y1*y2^2*x1+T(6)*y2^3*x2-T(6)*y1^2*y2+4*T(6)*y2^2*x2*x1+10*T(6)*y1*y2^2-21*T(6)*y1^2*x1+12*T(6)*y2*x2*x1^2-2*T(6)*y2^3+2*T(6)*y1*y2*x1+T(6)*x2^2*x1^2+T(6)*x2*x1^3-12*T(6)*y2^2*x2-T(6)*y2^2*x1+T(6)*y1*x1^2-10*T(6)*y1^2+10*T(6)*y2*x2*x1+11*T(6)*y1*y2-32*T(6)*x2^2*x1-33*T(6)*x2*x1^2-14*T(6)*y2^2+3*T(6)*y1*x1-T(6)*y2*x2+9*T(6)*y2*x1+2*T(6)*x2*x1+10*T(6)*x1^2-22*T(6)*y1+63*T(6)*y2+21*T(6)*x2-4*T(6)*x1-31*T(6)+2*T(7)*y1*y2^2-T(7)*y1^2*x1-T(7)*y2*x2*x1^2+T(7)*y1*y2*x1+T(7)*x2*x1^3+T(7)*x1^4+5*T(7)*y2^2*x2-5*T(7)*y1*x2^2-2*T(7)*y2^2*x1-4*T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*z*y2+2*T(7)*y1^2-3*T(7)*y2*x2*x1-T(7)*y2*x1^2-5*T(7)*y1*y2+2*T(7)*x2^2*x1+T(7)*x2*x1^2-T(7)*x1^3+15*T(7)*y2^2-13*T(7)*y1*x2-13*T(7)*y1*x1-5*T(7)*y2*x2+4*T(7)*y2*x1+5*T(7)*z-14*T(7)*x2*x1-13*T(7)*x1^2-17*T(7)*y2-30*T(7)*x2-28*T(7)*x1+2*T(7)-T(8)*y2^2*x1-2*T(8)*y2*x2*x1+26*T(8)*y2*x1^2+T(8)*x1^3+7*T(8)*y1*x1+3*T(8)*y2*x1+9*T(8)*x1^2+3*T(8)*x1-T(9)*z*y2^2*x1+T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+3*T(9)*z*y1^2-4*T(9)*z*y2*x2*x1-2*T(9)*z^2*x1-10*T(9)*z*y1*x1-2*T(9)*z*y2*x1+10*T(9)*z*x2*x1+10*T(9)*z*x1^2-T(9)*y1*x2*x1+T(9)*y1*x1^2+T(9)*y2*x1^2+7*T(9)*z*x1-5*T(9)*y1*y2+5*T(9)*x2^2*x1+3*T(9)*y1*x1-6*T(9)*y2*x1+5*T(9)*x1^2+5*T(9)*y1+4*T(9)*x1+15*z*x1-3*z norid[64]=6*T(1)*x1^3-4*T(1)*y2^2-2*T(1)*y1*x1+3*T(1)*x2^2-8*T(1)*x1^2+15*T(1)*y1+27*T(1)*y2+2*T(1)*x2+12*T(1)*x1-28*T(1)+4*T(2)*x1^2+6*T(2)*x1+3*T(3)*z+3*T(3)*x2-17*T(3)*x1+5*T(3)+T(4)*y1^4+T(4)*y1^3*x1+2*T(4)*y1^3+5*T(4)*y1^2*y2-T(4)*y2^2*x1^2+T(4)*y1*x1^3+T(4)*y1*y2^2+T(4)*y1*y2*x1-2*T(4)*y2^2*x1+T(4)*y1*x1^2+3*T(4)*y1^2-T(4)*y1*y2+3*T(4)*y2^2-14*T(4)*y1*x1-5*T(4)*y2*x1+9*T(4)*x2*x1+2*T(4)*y1+5*T(4)*y2-T(4)*x2+T(4)*x1-T(4)-T(5)*y1^2*x1^2-3*T(5)*y1^3-T(5)*y1*y2*x1^2-5*T(5)*y1*y2*x1+2*T(5)*y2^2*x1-4*T(5)*y1*x1^2-7*T(5)*y1^2-5*T(5)*y1*y2+8*T(5)*y2^2-10*T(5)*y1*x2-6*T(5)*y1*x1-7*T(5)*y2*x1-14*T(5)*x2*x1-13*T(5)*x1^2-28*T(5)*y1-31*T(5)*y2+5*T(5)*x1+23*T(5)+T(6)*y1^2*x1^2+2*T(6)*y1^3+2*T(6)*y1*y2*x1^2+5*T(6)*y1^2*y2-2*T(6)*y2^2*x2*x1+T(6)*y1*x1^3-4*T(6)*y1*y2^2+8*T(6)*y1^2*x1-4*T(6)*y2*x2*x1^2-2*T(6)*y2^3+6*T(6)*y1*y2*x1+T(6)*y2^2*x2+5*T(6)*y2^2*x1-T(6)*y1^2+T(6)*y2*x2*x1+2*T(6)*y2*x1^2-2*T(6)*y1*y2+18*T(6)*x2^2*x1+18*T(6)*x2*x1^2+5*T(6)*y2^2+2*T(6)*y1*x1+T(6)*y2*x2-4*T(6)*y2*x1+11*T(6)*x2*x1+3*T(6)*x1^2+27*T(6)*y1+29*T(6)*y2+17*T(6)*x2+7*T(6)*x1-17*T(6)+T(7)*z*y1*y2^2-T(7)*z*y1^2*x1-T(7)*y1^2*y2^2+T(7)*y1^3*x1+T(7)*z*y2^2*x2-T(7)*z*y1*x2^2+T(7)*z*y2^2*x1-2*T(7)*z*y1*x2*x1-T(7)*z*y1*x1^2-T(7)*z*y1^2-T(7)*z*y2*x1^2+T(7)*y1*y2^2*x1-T(7)*y1^2*x1^2-2*T(7)*z*y1*y2-2*T(7)*y1^3+2*T(7)*y1*y2*x2*x1+2*T(7)*z*y2^2-T(7)*z*y1*x2-T(7)*z*y1*x1+3*T(7)*y1^2*y2-T(7)*y2^2*x2*x1-4*T(7)*y2^2*x1^2+4*T(7)*y1*x2*x1^2+4*T(7)*y1*x1^3-T(7)*z*y2*x2-2*T(7)*z*y2*x1-3*T(7)*y1*y2^2+5*T(7)*y1^2*x1-2*T(7)*y2*x2*x1^2-T(7)*z^2-T(7)*z*x2^2-3*T(7)*z*x2*x1-2*T(7)*z*x1^2-2*T(7)*x2^2*x1^2-2*T(7)*x2*x1^3-T(7)*z*y1-T(7)*y2^2*x2+T(7)*y1*x2^2-T(7)*y2^2*x1+3*T(7)*y1*x2*x1+T(7)*y1*x1^2-5*T(7)*z*y2-T(7)*y1^2+T(7)*y2*x2*x1+4*T(7)*y2*x1^2+T(7)*z*x2+T(7)*z*x1+7*T(7)*y1*y2-T(7)*x2^2*x1-T(7)*x2*x1^2-7*T(7)*y2^2+7*T(7)*y1*x2+5*T(7)*y1*x1+T(7)*y2*x2+4*T(7)*y2*x1-4*T(7)*z+10*T(7)*x2*x1+10*T(7)*x1^2-9*T(7)*y1+7*T(7)*y2-3*T(7)*x2-7*T(7)*x1-13*T(8)*y2*x1^2-6*T(8)*x1^3-9*T(8)*y1*x1+5*T(8)*y2*x1+4*T(8)*x1^2+5*T(8)*x1-T(9)*z^3*x1+T(9)*z^2*y1*x1-T(9)*z^2*x1^2+T(9)*z*y2^2*x1-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2-T(9)*z*y1^2+T(9)*z*y2*x2*x1+3*T(9)*z^2*x1+T(9)*z*y2^2-T(9)*z*y1*x2+2*T(9)*z*y1*x1+T(9)*y1^2*y2-T(9)*y1*x2^2*x1+3*T(9)*z*y2*x1+2*T(9)*y1*y2^2-T(9)*y1^2*x2+3*T(9)*z*x1^2+2*T(9)*y1*x2*x1-2*T(9)*y1*x1^2-T(9)*z*y2-5*T(9)*y1^2+3*T(9)*y2*x2*x1+4*T(9)*z*x1+2*T(9)*y1*y2-3*T(9)*x2^2*x1+2*T(9)*y1*x1+6*T(9)*y2*x1-T(9)*x2*x1+T(9)*x1^2-3*T(9)*y1-T(9)*x1+9*z*x1-5*z norid[65]=-T(1)*x1^3+6*T(1)*y2^2+2*T(1)*y1*x1+12*T(1)*x2^2-27*T(1)*x1^2+8*T(1)*y1-7*T(1)*y2-12*T(1)*x2+16*T(1)*x1+T(1)-T(2)*x1^3+12*T(3)*z+12*T(3)*x2-15*T(3)*x1-T(4)*y1^3-T(4)*y1*y2*x1^2-T(4)*y1^2*y2-T(4)*y1*x1^3+2*T(4)*y1^2*x1+T(4)*y1*y2*x1+2*T(4)*y2^2*x1-3*T(4)*y1*x1^2+2*T(4)*y1^2-2*T(4)*y2*x1^2+2*T(4)*y1*y2+T(4)*y2^2+2*T(4)*y1*x1-3*T(4)*y1-2*T(4)*y2+T(4)*x2+5*T(4)*x1+3*T(4)+T(5)*y1^4+T(5)*y1^3*x1+4*T(5)*y1^2*y2-T(5)*y2^2*x1^2+T(5)*y1*x1^3+T(5)*y1*y2*x1-T(5)*y2^2*x1+T(5)*y1*x1^2+T(5)*y1^2+T(5)*y2*x1^2+6*T(5)*y1*y2-11*T(5)*y2^2+22*T(5)*y1*x2+9*T(5)*y1*x1-2*T(5)*y2*x1-3*T(5)*x2*x1+10*T(5)*x1^2-19*T(5)*y1+12*T(5)*y2-T(5)*x1-T(5)-T(6)*y1^3*y2-T(6)*y1^2*y2*x1+T(6)*y1*y2^2*x1-T(6)*y1^2*x1^2+2*T(6)*y1^3-T(6)*y2^3*x1+T(6)*y1*y2*x1^2-T(6)*y1^2*y2+2*T(6)*y2^2*x2*x1-T(6)*y2^2*x1^2+T(6)*y1*x1^3+2*T(6)*y1*y2^2-8*T(6)*y1^2*x1+4*T(6)*y2*x2*x1^2+T(6)*y2^3-5*T(6)*y1*y2*x1+2*T(6)*x2^2*x1^2+2*T(6)*x2*x1^3-5*T(6)*y2^2*x2+2*T(6)*y2^2*x1-2*T(6)*y1*x1^2-3*T(6)*y1^2+T(6)*y2*x2*x1+T(6)*y2*x1^2-9*T(6)*x2^2*x1-10*T(6)*x2*x1^2-11*T(6)*y2^2+8*T(6)*y1*x1-T(6)*y2*x2+3*T(6)*y2*x1+4*T(6)*x2*x1+2*T(6)*x1^2+4*T(6)*y1+34*T(6)*y2+11*T(6)*x2+2*T(6)*x1-16*T(6)-T(7)*y1*y2^2*x1+T(7)*y1^2*x1^2-3*T(7)*z*y2^2+3*T(7)*z*y1*x2+3*T(7)*z*y1*x1+T(7)*y1*y2^2+T(7)*y1^2*x1-T(7)*y2*x2*x1^2+T(7)*y2*x1^3-T(7)*z^2+2*T(7)*y1*y2*x1-T(7)*x2^2*x1^2-T(7)*x2*x1^3+T(7)*z*y1-2*T(7)*y2^2*x2+2*T(7)*y1*x2^2-2*T(7)*y2^2*x1+4*T(7)*y1*x2*x1+T(7)*y1*x1^2+4*T(7)*z*y2+2*T(7)*y1^2-T(7)*z*x2-T(7)*z*x1+T(7)*y1*y2-2*T(7)*x2^2*x1+2*T(7)*x1^3-T(7)*y2^2-2*T(7)*y1*x1+2*T(7)*y2*x2+4*T(7)*y2*x1-3*T(7)*z-6*T(7)*x2*x1-5*T(7)*x1^2-2*T(7)*y1+2*T(7)*y2-12*T(7)*x2-12*T(7)*x1-T(7)-T(8)*y2^2*x1+T(8)*y2*x2*x1+10*T(8)*y2*x1^2+T(8)*x1^3-T(8)*y1*x1+2*T(8)*x1^2+T(9)*z^2*x1^2-T(9)*z*y1*x1^2+2*T(9)*z*y1^2-2*T(9)*z*y2*x2*x1-T(9)*z^2*x1-6*T(9)*z*y1*x1+5*T(9)*z*x2*x1+2*T(9)*z*x1^2-T(9)*y1*x2*x1-T(9)*y1*x1^2+3*T(9)*y1^2-2*T(9)*y2*x2*x1-2*T(9)*y2*x1^2+5*T(9)*z*x1+T(9)*y1*y2-T(9)*x2^2*x1-2*T(9)*y1*x1+T(9)*x2*x1+5*T(9)*x1^2-T(9)*y1+3*T(9)*x1+9*z*x1 norid[66]=-9*T(1)*x1^3-15*T(1)*y2^2+7*T(1)*y1*x1-17*T(1)*x2^2+83*T(1)*x1^2-31*T(1)*y1-8*T(1)*y2+2*T(1)*x2-31*T(1)*x1+38*T(1)+2*T(2)*x1^3-7*T(2)*x1^2-15*T(2)*x1-17*T(3)*z-2*T(3)*x1^2-17*T(3)*x2+48*T(3)*x1-15*T(3)+T(4)*y1^2*x1^2+2*T(4)*y1^3+T(4)*y1*y2*x1^2+T(4)*y1^2*y2+T(4)*y1*y2^2-2*T(4)*y1^2*x1+T(4)*y2^3-T(4)*y1*y2*x1-4*T(4)*y2^2*x1+T(4)*y1*x1^2-9*T(4)*y1^2-3*T(4)*y2*x1^2-5*T(4)*y1*y2+2*T(4)*y2^2-21*T(4)*y1*x1-11*T(4)*y2*x1-17*T(4)*x2*x1+4*T(4)*y1-21*T(4)*y2+T(4)*x2-16*T(4)*x1+10*T(4)-T(5)*y1*y2^2*x1+T(5)*y1^2*x1^2-T(5)*y1^3-T(5)*y1^2*y2+2*T(5)*y2^2*x1^2-2*T(5)*y1*x1^3-6*T(5)*y1*y2^2+6*T(5)*y1^2*x1+3*T(5)*y1*y2*x1-4*T(5)*y2^2*x1+5*T(5)*y1*x1^2+5*T(5)*y1^2-2*T(5)*y2*x1^2+5*T(5)*y1*y2+25*T(5)*y2^2-45*T(5)*y1*x2-30*T(5)*y1*x1+29*T(5)*y2*x1+31*T(5)*x2*x1-27*T(5)*x1^2+64*T(5)*y1-2*T(5)*y2-17*T(5)*x1-23*T(5)+T(6)*y1^4+T(6)*y1^3*x1+T(6)*y2^4-2*T(6)*y1*y2^2*x1+T(6)*y1^2*x1^2-3*T(6)*y1^3+2*T(6)*y2^3*x2+3*T(6)*y2^3*x1-3*T(6)*y1*y2*x1^2-T(6)*y1^2*y2+T(6)*y2^2*x2*x1+T(6)*y2^2*x1^2-T(6)*y1*x1^3-T(6)*y1^2*x1+4*T(6)*y2^3-11*T(6)*y1*y2*x1+5*T(6)*x2^2*x1^2+5*T(6)*x2*x1^3+14*T(6)*y2^2*x2-T(6)*y2^2*x1-5*T(6)*y1*x1^2-2*T(6)*y1^2+4*T(6)*y2*x2*x1-2*T(6)*y2*x1^2-16*T(6)*y1*y2+12*T(6)*x2^2*x1+14*T(6)*x2*x1^2+15*T(6)*y2^2-16*T(6)*y1*x1-14*T(6)*y2*x2-21*T(6)*y2*x1-35*T(6)*x2*x1-24*T(6)*x1^2-25*T(6)*y1-109*T(6)*y2-40*T(6)*x2-10*T(6)*x1+60*T(6)+T(7)*z*y1*y2^2-T(7)*z*y1^2*x1-T(7)*z^2*x2*x1-T(7)*z^2*x1^2+2*T(7)*z*y2^2*x2-2*T(7)*z*y1*x2^2-T(7)*z*y2^2*x1-T(7)*z*y1*x2*x1+T(7)*z*y1*x1^2+T(7)*y1^2*y2*x1+T(7)*z^2*y2+3*T(7)*z*y1^2-3*T(7)*z*y2*x2*x1+2*T(7)*y1*y2^2*x2+T(7)*y1*y2^2*x1-2*T(7)*z*y1*y2-T(7)*y1*y2*x2*x1+3*T(7)*z*y2^2-3*T(7)*z*y1*x2-3*T(7)*z*y1*x1-T(7)*y1^2*y2-5*T(7)*y2^2*x2*x1+5*T(7)*y1*x2^2*x1-T(7)*y2^2*x1^2+6*T(7)*y1*x2*x1^2+T(7)*y1*x1^3-2*T(7)*z*y2*x2+T(7)*z*y2*x1-2*T(7)*y1*y2^2-T(7)*y1^2*x1+3*T(7)*y2*x2*x1^2+T(7)*y2*x1^3+2*T(7)*z^2-3*T(7)*y1*y2*x2-5*T(7)*y1*y2*x1-T(7)*x2^3*x1+T(7)*x2^2*x1^2+2*T(7)*x2*x1^3+T(7)*z*y1+T(7)*y2^2*x2-T(7)*y1*x2^2-3*T(7)*y2^2*x1-T(7)*y1*x2*x1+2*T(7)*y1*x1^2-2*T(7)*z*y2-2*T(7)*y1^2+5*T(7)*y2*x2*x1+T(7)*y2*x1^2-T(7)*z*x2-T(7)*z*x1+10*T(7)*y1*y2-4*T(7)*x2^2*x1-3*T(7)*x2*x1^2+T(7)*x1^3-10*T(7)*y2^2+13*T(7)*y1*x2+17*T(7)*y1*x1-3*T(7)*y2*x2-2*T(7)*y2*x1+7*T(7)*z+18*T(7)*x2*x1+16*T(7)*x1^2+7*T(7)*y1+8*T(7)*y2+19*T(7)*x2+26*T(7)*x1+2*T(7)-2*T(8)*y2*x2*x1-27*T(8)*y2*x1^2+2*T(8)*x2^2*x1+7*T(8)*x1^3+2*T(8)*y1*x1-17*T(8)*y2*x1-6*T(8)*x1^2+2*T(8)*y1-15*T(8)*x1-T(9)*z^3*x1-2*T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-2*T(9)*z*y1*x2*x1-T(9)*z*y1*x1^2-6*T(9)*z*y1^2+4*T(9)*z*y2*x2*x1+2*T(9)*z^2*x1-T(9)*z*y1*y2+T(9)*z*x2^2*x1-T(9)*z*y2^2+T(9)*z*y1*x2+2*T(9)*z*y1*x1-5*T(9)*z*y2*x1-18*T(9)*z*x2*x1-24*T(9)*z*x1^2+T(9)*z*y1-2*T(9)*y1*x2*x1-4*T(9)*y1*x1^2+T(9)*z*y2+4*T(9)*y1^2-3*T(9)*y2*x2*x1-T(9)*y2*x1^2-27*T(9)*z*x1-4*T(9)*y1*y2+4*T(9)*x2^2*x1+4*T(9)*y1*x1-11*T(9)*y2*x1+T(9)*x2*x1-16*T(9)*x1^2+4*T(9)*y1+10*T(9)*x1-27*z*x1+15*z norid[67]=T(1)^2-2*T(1)*y1*x2*x1-2*T(1)*y1*y2+2*T(1)*x2*x1^2+3*T(1)*x1^3-T(1)*y1*x2+T(1)*y1*x1+2*T(1)*y2*x1-T(1)*x2^2+T(1)*x1^2+2*T(1)*y1-5*T(1)*y2+T(1)*x2-4*T(1)*x1+4*T(1)+2*T(2)*x1-4*T(3)*z*x1-2*T(3)*z-2*T(3)*x2*x1+3*T(3)*x1^2-T(3)*x2+4*T(3)*x1-T(3)+4*T(4)*y1*x2*x1-4*T(4)*y2*x1-T(4)*x2*x1-T(4)*y2+4*T(4)*x1-2*T(5)*y1*x2*x1+3*T(5)*y1*x1+2*T(5)*y2*x1+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2+2*T(5)*x1-5*T(5)+2*T(6)*y1*x2*x1+2*T(6)*y1^2+T(6)*y1*x2-5*T(6)*y2*x1-7*T(6)*x2*x1-2*T(6)*x1^2-6*T(6)*y1-6*T(6)*y2-6*T(6)*x2+T(6)*x1+6*T(6)+T(7)*z+4*T(7)*x2*x1+4*T(7)*x1^2+2*T(7)*x2+2*T(7)*x1-2*T(7)+T(8)*x1-2*T(9)*z*x1^2-4*T(9)*y2*x1^2-T(9)*z*x1-T(9)*x2*x1^2-T(9)*y2*x1+4*T(9)*x1^2+z^2+4*y1*y2*x1-4*x2*x1^3+2*z*y2+4*y1^2-z*x1-2*y1*y2+2*x2*x1^2-4*y1*x1-2*y2*x2-3*z+2*y1 norid[68]=T(1)*T(2)-T(1)*y1^3-T(1)*y1*y2*x1^2-T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y1*x1^2+T(1)*y1*y2-T(1)*x2*x1^2-8*T(1)*x1^3-T(1)*y1*x2+8*T(1)*y1*x1+T(1)*y2*x1-T(1)*x2^2-5*T(1)*x2*x1+5*T(1)*x1^2-3*T(1)*y1-5*T(1)*y2+3*T(1)*x2-6*T(1)*x1+2*T(1)+T(2)*x1^3-T(2)*y1*x1-T(2)*x1^2+T(2)*x2+T(2)*x1+T(3)*z*y1-T(3)*z*x1+T(3)*x1^3-2*T(3)*z+T(3)*x2*x1-T(3)*x1^2+T(3)*y1-T(3)*x2+3*T(3)*x1+T(3)+T(4)*y1^3*x1+T(4)*y1^2*y2*x1-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1-T(4)*y1*x2*x1-T(4)*y1*x1^2+T(4)*y1*x2+5*T(4)*y1*x1-T(4)*y2*x1-3*T(4)*x2*x1-4*T(4)*x1^2-T(4)*y2-T(4)*x1-2*T(5)*y1^2*x1+2*T(5)*y1*y2*x1+T(5)*y1*x2*x1+2*T(5)*y1*x1^2-2*T(5)*y2*x1^2-T(5)*x2*x1^2+T(5)*x1^3-5*T(5)*y1*x1+3*T(5)*y2*x1+5*T(5)*x2*x1-T(5)*x1^2+5*T(5)*y1+5*T(5)*y2-T(5)*x2+T(5)*x1-5*T(5)-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+2*T(6)*y1^2*x2*x1+T(6)*y1^2*y2-T(6)*y1*x2*x1^2+5*T(6)*y1^2*x1-6*T(6)*y1*x2*x1-6*T(6)*y1*x1^2-4*T(6)*y1^2-2*T(6)*y2*x1^2-2*T(6)*x2*x1^2+T(6)*x1^3+T(6)*y1*x2-T(6)*y1*x1+4*T(6)*y2*x1-4*T(6)*x2*x1-3*T(6)*x1^2-6*T(6)*y1-6*T(6)*y2-6*T(6)*x2-3*T(6)*x1+5*T(6)-T(7)*z^3+T(7)*y1^3*y2+T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2+T(7)*z*y1^2+3*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2-3*T(7)*y1*x2*x1^2-3*T(7)*y1^2*x1+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*x1^2+T(7)*y1^2-2*T(7)*y2*x1^2+3*T(7)*z*x1+T(7)*x2*x1^2+T(7)*x1^3-T(7)*y1*x2-T(7)*y2*x1+T(7)*z+T(7)*y1+2*T(7)*x2+3*T(7)*x1-T(7)-T(8)*y1*x2*x1^2-T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+2*T(8)*y1*x1^2-T(8)*y2*x1^2+T(8)*x2*x1^2+5*T(8)*x1^3-T(8)*x1^2-T(9)*z^2*x1^3-2*T(9)*z*y1*x1^2-3*T(9)*z*y2*x1^2-T(9)*z*x2*x1^2+T(9)*z*x1^3+T(9)*y1*x2*x1^2+T(9)*y1*x1^3-T(9)*y1^2*x1+T(9)*y2*x1^3+4*T(9)*y1*x1^2-T(9)*y2*x1^2-T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3-T(9)*y2*x1-T(9)*x1^2+T(9)*y1+y1^2*x2^2-y1^3+z*y1*x2+y1^2*y2+y1*x2^3-y1*x2*x1^2+z*y2*x2-y1^2*x2-y1^2*x1+z^2-4*z*x1^2-3*y1*y2*x1+3*x2*x1^3+y1*x2*x1-z*y2-4*y1^2+y2*x2^2-6*z*x1-2*y1*y2+2*x2*x1^2+3*y1*x1-2*y2*x2-2*z+2*y1 norid[69]=T(2)^2+T(1)*y1*x1^2+T(1)*z*x2-T(1)*z*x1+T(1)*x2*x1^2+T(1)*x1^3-T(1)*y1*x1+T(1)*z-T(1)*x2*x1-2*T(1)*x1^2+T(1)*x1-T(3)*z*x2+T(3)*z*x1-T(3)*z+T(3)*x1^2-T(3)*x1+T(6)*x1^2-T(6)*x1-T(7)*x1^2+T(7)*x1+z*y1*y2*x2-z*y1*y2*x1+z*y2*x2^2-z*y2*x1^2+z^2*x2-z^2*x1+z*x2*x1^2-z*x1^3-z*y1*x2+z*y1*x1+z*y2*x1+z^2+z*x1^2 norid[70]=T(1)*T(3)-T(1)*y1*x2*x1-T(1)*y1*y2+T(1)*x2*x1^2+2*T(1)*x1^3-T(1)*y1*x2+T(1)*y1*x1+T(1)*y2*x1-T(1)*z-T(1)*x2^2+3*T(1)*x1^2-5*T(1)*y2-5*T(1)*x1+3*T(1)-T(2)*z*x1+T(2)*x1+T(3)*z^2-2*T(3)*z*x1-T(3)*z-T(3)*x2*x1+2*T(3)*x1^2+5*T(3)*x1+2*T(4)*y1*x2*x1+T(4)*z*x2-2*T(4)*y2*x1-T(4)*x2*x1-T(4)*y2+2*T(4)*x1-T(5)*y1*x2*x1+2*T(5)*y1*x1+T(5)*y2*x1+T(5)*z+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2+T(5)*x1-5*T(5)+T(6)*y1*x2*x1+T(6)*y1^2+T(6)*y1*x2-3*T(6)*y2*x1-4*T(6)*x2*x1-T(6)*x1^2-6*T(6)*y1-6*T(6)*y2-6*T(6)*x2-T(6)*x1+5*T(6)-T(7)*z*x2-T(7)*z*x1+2*T(7)*z+2*T(7)*x2*x1+2*T(7)*x1^2+2*T(7)*x2+2*T(7)*x1-T(7)-T(9)*z*x1^2-2*T(9)*y2*x1^2-T(9)*z*x1-T(9)*x2*x1^2-T(9)*y2*x1+T(9)*z+2*T(9)*x1^2-z*y1^2*x2-z^2*y1-z*y1*x2^2-z*y1*x2*x1-z^2*y2-2*z*x2*x1^2+z*y1*x1-z*y2*x2-2*z*y2*x1+z^2+2*z*x2*x1+z*x1^2-y1*y2*x2+2*y1*y2*x1-2*x2*x1^3+z*y2+y1^2-y2*x2^2-z*x2-2*z*x1-2*y1*y2+2*x2*x1^2+y1*x2-2*y1*x1-2*y2*x2-3*z+2*y1 norid[71]=T(2)*T(3)-T(1)*y1^3-T(1)*y1*y2*x1^2-T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y1*x1^2+T(1)*y1*y2-T(1)*x2*x1^2-7*T(1)*x1^3+6*T(1)*y1*x1+T(1)*y2*x1-T(1)*x2^2-5*T(1)*x2*x1+4*T(1)*x1^2-3*T(1)*y1-5*T(1)*y2+5*T(1)*x2-9*T(1)*x1+T(1)+T(2)*y1*x2*x1+T(2)*x1^3-T(2)*y1*x1-T(2)*z-T(2)*x2^2-2*T(2)*x2*x1-3*T(2)*x1^2+T(2)*x2+2*T(2)*x1-T(3)*z*y1*x2+T(3)*z*y1+T(3)*x1^3-T(3)*y1*x2-2*T(3)*z+T(3)*x2*x1+T(3)*y1-T(3)*x2+3*T(3)*x1+3*T(3)+T(4)*y1^3*x1+T(4)*y1^2*y2*x1-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1-T(4)*y1*x2^2-T(4)*y1*x2*x1-T(4)*y1*x1^2-T(4)*x2*x1^2+T(4)*y1*x2+5*T(4)*y1*x1-2*T(4)*y2*x1-T(4)*z-2*T(4)*x2*x1-4*T(4)*x1^2-T(4)*y2-2*T(4)*x1+T(4)-2*T(5)*y1^2*x1+2*T(5)*y1*y2*x1+T(5)*y1*x2*x1+2*T(5)*y1*x1^2-2*T(5)*y2*x1^2+T(5)*x1^3-T(5)*y1*x2-3*T(5)*y1*x1+3*T(5)*y2*x1+5*T(5)*x2*x1-T(5)*x1^2+5*T(5)*y1+5*T(5)*y2-T(5)*x2+T(5)*x1-5*T(5)-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+2*T(6)*y1^2*x2*x1+T(6)*y1^2*y2-T(6)*y1*x2*x1^2+5*T(6)*y1^2*x1-6*T(6)*y1*x2*x1-6*T(6)*y1*x1^2-4*T(6)*y1^2-2*T(6)*y2*x1^2-3*T(6)*x2*x1^2+T(6)*x1^3+T(6)*y1*x2-3*T(6)*y1*x1+2*T(6)*y2*x1-4*T(6)*x2*x1-3*T(6)*x1^2-6*T(6)*y1-6*T(6)*y2-6*T(6)*x2-4*T(6)*x1+6*T(6)-T(7)*z^3+T(7)*y1^3*y2+T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2+T(7)*z*y1^2+3*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2-3*T(7)*y1*x2*x1^2-3*T(7)*y1^2*x1+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*x2^2+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*y1^2-2*T(7)*y2*x1^2+4*T(7)*z*x1+T(7)*x2*x1^2+T(7)*x1^3-2*T(7)*y1*x2-T(7)*y2*x1+T(7)*z-T(7)*x2*x1-T(7)*x1^2+T(7)*y1+2*T(7)*x2+4*T(7)*x1-T(7)-T(8)*y1*x2*x1^2-T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+2*T(8)*y1*x1^2-T(8)*y2*x1^2+T(8)*x2*x1^2+5*T(8)*x1^3-T(8)*x1^2-T(9)*z^2*x1^3-2*T(9)*z*y1*x1^2-3*T(9)*z*y2*x1^2-T(9)*z*x2*x1^2+T(9)*z*x1^3+T(9)*y1*x2*x1^2+T(9)*y1*x1^3-T(9)*y1^2*x1+T(9)*y2*x1^3-T(9)*x2*x1^3+4*T(9)*y1*x1^2-2*T(9)*y2*x1^2-T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3-T(9)*y1*x2-T(9)*y2*x1-2*T(9)*x1^2+T(9)*y1+T(9)*x1+z^2*x2*x1+y1^3*x2-z^2*y1+y1^2*y2*x1-y1*x2*x1^3+z^2*y2+2*y1^2*x2^2+y1^2*x2*x1-z^2*x2-z^2*x1+z*y1*x2-y1^2*y2+y1*x2^3+y1*x2*x1^2+z*y2*x2+z*y2*x1-y1^2*x2-2*y1^2*x1-2*z*x1^2-y1*y2*x2-8*y1*y2*x1+8*x2*x1^3-z*y1+y1*x2*x1-3*z*y2-7*y1^2+y2*x2^2-13*z*x1-y1*y2+x2*x1^2+8*y1*x1-y2*x2-z+y1 norid[72]=T(3)^2+T(1)*z*x2+T(1)*z*x1+T(1)*x1^3-T(1)*y1*x2+T(1)*y1*x1-T(1)*z+5*T(1)*x1^2-2*T(1)*y1-5*T(1)*y2-T(1)*x2-6*T(1)*x1+3*T(1)+T(2)*z*x2*x1+T(2)*z*x1^2-2*T(2)*z*x1-T(3)*z^2*x2-T(3)*z^2*x1+2*T(3)*z^2-T(3)*z*x2-T(3)*z*x1-T(3)*z-T(3)*x2^2+T(3)*x1^2+6*T(3)*x1-T(4)*z*x2^2-T(4)*z*x2*x1+2*T(4)*z*x2-T(4)*z-T(4)*x2*x1-T(4)*y2-T(5)*z*x2-T(5)*z*x1+T(5)*y1*x1+2*T(5)*z+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2-5*T(5)+T(6)*y1*x2-T(6)*y2*x1-T(6)*x2*x1-6*T(6)*y1-6*T(6)*y2-6*T(6)*x2-3*T(6)*x1+4*T(6)+T(7)*z*x2^2+2*T(7)*z*x2*x1+T(7)*z*x1^2-3*T(7)*z*x2-3*T(7)*z*x1+3*T(7)*z+2*T(7)*x2+2*T(7)*x1-T(8)*x1-T(9)*z*x2-2*T(9)*z*x1-T(9)*x2*x1^2-T(9)*y2*x1+2*T(9)*z-z*y1^2*x2+z*y1^2*x1+z*y1*y2*x1-2*z^2*y1-z*y1*x2^2+z*y1*x1^2-2*z^2*y2+z*y1^2+z*y2*x1^2-z*y1*y2-4*z*x2*x1^2+y1*y2*x2^2+z*y1*x1-2*z*y2*x2-4*z*y2*x1+y1^2*x2+y2*x2^3+z^2+z*x2^2+4*z*x2*x1+2*z*x1^2-2*y1*y2*x2+y1*y2*x1-x2*x1^3+z*y1-y1*x2^2+z*y2-y1^2-2*y2*x2^2-z*x2-2*z*x1-2*y1*y2+2*x2*x1^2+2*y1*x2-y1*x1-2*y2*x2-3*z+2*y1 norid[73]=T(1)*T(4)-T(1)*y1*y2*x2-T(1)*y1*y2*x1-T(1)*x1^3-T(1)*y1*x2-3*T(1)*y1*x1+T(1)*x2^2-8*T(1)*x1^2+5*T(1)*y1-T(1)*y2-2*T(1)*x2+3*T(1)*x1-2*T(1)+T(2)*x1^2+T(2)*y2-T(2)*x1-T(2)+T(3)*z+T(3)*x1^2+T(3)*x2-2*T(3)*x1-T(3)+T(4)*y1^3+T(4)*y1^2*y2-2*T(4)*y1*x2*x1-T(4)*y1*x1^2-3*T(4)*y1^2-T(4)*y2*x1^2-4*T(4)*y1*y2-3*T(4)*y1*x2-T(4)*y1*x1+T(4)*z-T(4)*x2*x1+4*T(4)*y1+T(4)*y2-2*T(4)*x2-4*T(4)*x1-3*T(4)-2*T(5)*y1^2+2*T(5)*y1*y2+2*T(5)*y1*x2+2*T(5)*y1*x1-2*T(5)*y2*x1-T(5)*x2*x1+T(5)*x1^2-5*T(5)*y1+T(5)*y2-T(5)*x1-T(5)-3*T(6)*y1^2*y2+3*T(6)*y1*x2*x1^2+2*T(6)*y1^2*x2+T(6)*y1*x2^2+5*T(6)*y1^2-7*T(6)*y1*x2-6*T(6)*y1*x1-4*T(6)*y2*x2-2*T(6)*y2*x1-2*T(6)*x2*x1+T(6)*x1^2-T(6)*y1+5*T(6)*y2+T(6)*x2-2*T(6)*x1-T(6)+T(7)*y1^2*x2*x1+3*T(7)*z^2-T(7)*y1*y2*x1-T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*z*y2-3*T(7)*y1^2+T(7)*z*x2+T(7)*z*x1+T(7)*y1*x1+T(7)*y2*x2-2*T(7)*y2*x1+3*T(7)*z+T(7)*x2*x1+T(7)*x1^2+T(7)*y1-2*T(7)*x2-2*T(7)*x1-T(8)*y1*x2*x1-T(8)*y1*x1^2+T(8)*y2*x1^2-T(8)*y1*y2+T(8)*x2*x1^2+2*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+4*T(8)*x1^2-T(8)*x1-T(9)*z^2*x1^2-2*T(9)*z*y1*x1-3*T(9)*z*y2*x1-T(9)*z*x2*x1+T(9)*z*x1^2+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2+T(9)*y2*x1^2+T(9)*z*x1+4*T(9)*y1*x1+T(9)*y2*x1-T(9)*x2*x1-4*T(9)*x1^2-3*T(9)*x1+z^2*y1*x2+z^2*x2^2+z^2*x2*x1-4*z*x1-4*y1*y2+4*x2*x1^2-4*y2*x2-3*z+4*y1 norid[74]=T(2)*T(4)+T(1)*y1*x2*x1+T(1)*y1*y2-T(1)*x2*x1^2-T(1)*x1^3+T(1)*y1*x1-T(1)*y2*x1-T(1)*z+T(1)*x2*x1+3*T(1)*x1^2-3*T(1)*y1-T(1)*x2-3*T(1)*x1+T(1)-T(2)*x1+2*T(3)*z*x1+T(3)*z+T(3)*x2*x1-T(3)*x1^2+2*T(3)*x1-T(3)-2*T(4)*y1*x2*x1+2*T(4)*y2*x1-2*T(4)*x1+T(5)*y1*x2*x1-T(5)*y1*x1-T(5)*y2*x1-T(5)*x1-T(6)*y1*x2*x1-T(6)*y1^2+2*T(6)*y2*x1+3*T(6)*x2*x1+T(6)*x1^2-T(6)*x1-2*T(6)-2*T(7)*x2*x1-2*T(7)*x1^2-T(7)*x1+2*T(7)-T(8)*x1+T(9)*z*x1^2+2*T(9)*y2*x1^2-2*T(9)*x1^2-z*y1^2*x2^2-z^2*y1*x2-z*y1^2*y2-z*y1*x2^3+z*y1*x2*x1^2-z^2*y2*x2-z^2*y1-z^2*y2+2*z*y1^2-z*y2*x2^2-2*z*y1*y2+z*y1*x2+2*z*y1*x1-2*z*y2*x2-2*z*y2*x1-2*z^2+2*z*x2*x1-2*y1*y2*x1+2*x2*x1^3+2*z*y1-2*y1^2+2*y1*x1+z norid[75]=T(3)*T(4)+T(1)*x1^3-2*T(1)*y1*x1-T(1)*x1^2-T(1)*y1+3*T(1)*x2-4*T(1)*x1-3*T(1)-T(2)*z*y2-T(2)*y1*x1-T(2)*y2*x2-T(2)*y2*x1-2*T(2)*x2*x1-2*T(2)*x1^2+T(2)*x2+2*T(2)*x1+T(3)*z*y1+T(3)*z*x1+T(3)*x1^2+T(3)*y1+T(3)*x1+3*T(3)-T(4)*z*x1-T(4)*x2*x1^2+T(4)*y1*x2-T(4)*y2*x1+T(4)*x2*x1-T(4)*x1+T(4)+T(5)*x2*x1^2+2*T(5)*y1*x1+T(5)*y1-T(6)*x2*x1^2-2*T(6)*y1*x1-2*T(6)*y2*x1-T(6)*x1+T(7)*z*x1-T(7)*y1*x2-T(7)*y1*x1-T(7)*x2*x1-T(7)*x1^2+T(7)*y1+T(7)*x1-T(9)*x2*x1^3-T(9)*y2*x1^2-T(9)*x1^2+T(9)*y1+T(9)*x1-z^2*y1*x2^2-z^2*y1*x2*x1-z^3*x2-z^3*x1-2*z^2*y1*y2-z^2*x2^3+z^2*x2*x1^2+z^2*y1*x2+z^2*x2^2+2*z^2*x2*x1+z^2*y1+z^2*y2-z^2*x2-z^2*x1-y1^3-y1^2*x2-y1^2*x1-z^2+z*x1^2-6*y1*y2*x1+6*x2*x1^3+y1*x2*x1-3*z*y2-6*y1^2-7*z*x1+6*y1*x1 norid[76]=T(4)^2+T(1)*z*x1^3-2*T(1)*z*y1*x1+2*T(1)*y1*x2*x1^2-T(1)*z*x1^2+2*T(1)*y1*y2*x1-2*T(1)*x2*x1^3-2*T(1)*x1^4-T(1)*y1*x2*x1-2*T(1)*y2*x1^2-3*T(1)*z*x1-T(1)*y1*y2+T(1)*x2*x1^2+5*T(1)*x1^3-4*T(1)*y1*x1+T(1)*y2*x1+2*T(1)*x2^2-2*T(1)*x2*x1-8*T(1)*x1^2+6*T(1)*y1+2*T(1)*y2-4*T(1)*x2-T(1)*x1+4*T(1)-T(2)*z^2-T(2)*z*x2*x1-2*T(2)*z*x1^2+T(2)*z*x1-2*T(2)*x1^2+T(2)*x1+T(3)*z^2*x1+5*T(3)*z*x1^2-2*T(3)*z*x1+2*T(3)*x2*x1^2-2*T(3)*x1^3-T(3)*x2*x1+3*T(3)*x1^2+2*T(3)*x2-3*T(3)*x1-2*T(3)-T(4)*z*x2*x1^2-4*T(4)*y1*x2*x1^2-T(4)*z*y2*x1+T(4)*z*x2*x1+2*T(4)*y1*x2*x1+4*T(4)*y2*x1^2-T(4)*z*x1-2*T(4)*y2*x1+T(4)*z+2*T(4)*x2*x1-5*T(4)*x1^2+2*T(4)*y1+3*T(4)*x1+T(5)*z*x2*x1^2+2*T(5)*z*y1*x1+2*T(5)*y1*x2*x1^2-T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*y2*x1^2+T(5)*y1*x1+T(5)*y2*x1-2*T(5)*x1^2-4*T(5)*y1+2*T(5)*y2+T(5)*x1+2*T(5)-T(6)*z*x2*x1^2-2*T(6)*z*y1*x1-2*T(6)*y1*x2*x1^2-2*T(6)*z*y2*x1-2*T(6)*y1^2*x1+T(6)*y1*x2*x1+T(6)*y1^2+4*T(6)*y2*x1^2-T(6)*z*x1+6*T(6)*x2*x1^2+2*T(6)*x1^3-2*T(6)*y2*x1-3*T(6)*x2*x1-5*T(6)*x1^2+4*T(6)*y2-2*T(6)*x2+T(6)+T(7)*z^2*x1-T(7)*z*x2*x1-T(7)*z*x1^2+T(7)*z*x1-4*T(7)*x2*x1^2-4*T(7)*x1^3+2*T(7)*x2*x1+2*T(7)*x1^2-2*T(7)*y2+2*T(7)*x1+T(7)+2*T(8)*y1*x1+2*T(8)*x2*x1+T(8)*x1-T(9)*z*x2*x1^3-T(9)*z*y2*x1^2+2*T(9)*z*x1^3+4*T(9)*y2*x1^3-2*T(9)*z*x1^2-2*T(9)*y2*x1^2+T(9)*z*x1-4*T(9)*x1^3+2*T(9)*x1^2+z^3*x2*x1-z^3*y1+z^3*y2-z^3*x2-z^3*x1+z*y1^2*x2+2*z*y1^2*x1-z^3-5*z*y1*y2*x1+3*z*x2*x1^3+z^2*y1+z*y1*x2^2+3*z*y1*x2*x1+4*z*y1*x1^2+z^2*y2-6*z*y1^2-2*z*y2*x1^2-5*z^2*x1+3*z*x2*x1^2+2*z*x1^3-4*y1*y2*x1^2+4*x2*x1^4-z*y1*x2+3*z*y1*x1+z*y2*x2-z*y2*x1-4*y1^2*x1+z*x2*x1-3*z*x1^2-4*z*y1+4*y1*x1^2+3*z*y2-2*z*x2-z*x1+4*y1*y2-4*x2*x1^2+4*y2*x2+3*z-4*y1 norid[77]=T(1)*T(5)-T(1)*z*x1^2+2*T(1)*z*y1-4*T(1)*y1*x2*x1+T(1)*y1^2+T(1)*z*x1-4*T(1)*y1*y2+4*T(1)*x2*x1^2+5*T(1)*x1^3+2*T(1)*y1*x1+4*T(1)*y2*x1+3*T(1)*z-T(1)*x2^2-3*T(1)*x1^2+5*T(1)*y1-5*T(1)*y2+T(1)*x2-2*T(1)*x1+4*T(1)+T(2)*z*x2+T(2)*z*x1+4*T(2)*x1-9*T(3)*z*x1-2*T(3)*z-4*T(3)*x2*x1+5*T(3)*x1^2+T(3)*y1-T(3)*x2+2*T(3)*x1-T(3)+T(4)*z*x2*x1+8*T(4)*y1*x2*x1+T(4)*z*y2-8*T(4)*y2*x1+T(4)*z-T(4)*x2*x1-T(4)*y2+8*T(4)*x1-T(5)*z*x2*x1-2*T(5)*z*y1-4*T(5)*y1*x2*x1+5*T(5)*y1*x1+4*T(5)*y2*x1+T(5)*z+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2+4*T(5)*x1-5*T(5)+T(6)*z*x2*x1+2*T(6)*z*y1+4*T(6)*y1*x2*x1+2*T(6)*z*y2+4*T(6)*y1^2+T(6)*y1*x2-9*T(6)*y2*x1+T(6)*z-13*T(6)*x2*x1-4*T(6)*x1^2-5*T(6)*y1-6*T(6)*y2-6*T(6)*x2+5*T(6)*x1+8*T(6)-T(7)*z^2+T(7)*z+8*T(7)*x2*x1+8*T(7)*x1^2-T(7)*y1+2*T(7)*x2+2*T(7)*x1-4*T(7)+3*T(8)*x1+T(9)*z*x2*x1^2+T(9)*z*y2*x1-4*T(9)*z*x1^2-8*T(9)*y2*x1^2-T(9)*x2*x1^2-T(9)*y2*x1+8*T(9)*x1^2-2*z*y1*x2*x1-3*z*y1^2+y1^2*x2^2-z^2*x1+4*z*y1*y2-4*z*x2*x1^2-2*z*y1*x2-6*z*y1*x1+y1^2*y2+y1*x2^3-y1*x2*x1^2+7*z*y2*x2+2*z*y2*x1+7*z^2-2*z*x2*x1-2*z*x1^2+8*y1*y2*x1-8*x2*x1^3-5*z*y1+4*z*y2+7*y1^2+y2*x2^2+z*x1-2*y1*y2+2*x2*x1^2-8*y1*x1-2*y2*x2-5*z+2*y1 norid[78]=T(2)*T(5)-T(1)*y1^3-T(1)*y1*y2*x1^2+T(1)*y1*y2*x2+T(1)*y1*y2*x1-T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y1*x1^2+T(1)*y1*y2-T(1)*x2*x1^2-7*T(1)*x1^3+11*T(1)*y1*x1+T(1)*y2*x1-2*T(1)*x2^2-5*T(1)*x2*x1+13*T(1)*x1^2-8*T(1)*y1-4*T(1)*y2+5*T(1)*x2-9*T(1)*x1+4*T(1)-T(2)*z*y2+T(2)*x1^3-T(2)*y1*x1-T(2)*y2*x2-T(2)*x2*x1-2*T(2)*x1^2-T(2)*y2+T(2)*x2+2*T(2)*x1+T(2)+T(3)*z*y1-T(3)*z*x1+T(3)*x1^3-3*T(3)*z+T(3)*x2*x1-2*T(3)*x1^2+T(3)*y1-2*T(3)*x2+5*T(3)*x1+2*T(3)+T(4)*y1^3*x1+T(4)*y1^2*y2*x1-T(4)*y1^3-T(4)*y1^2*y2-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1+T(4)*y1*x2*x1+3*T(4)*y1^2+T(4)*y2*x1^2+4*T(4)*y1*y2+4*T(4)*y1*x2+6*T(4)*y1*x1-T(4)*y2*x1-2*T(4)*x2*x1-4*T(4)*x1^2-4*T(4)*y1-2*T(4)*y2+2*T(4)*x2+3*T(4)*x1+3*T(4)-2*T(5)*y1^2*x1+2*T(5)*y1*y2*x1+T(5)*y1*x2*x1+2*T(5)*y1*x1^2+2*T(5)*y1^2-2*T(5)*y2*x1^2-2*T(5)*y1*y2-T(5)*x2*x1^2+T(5)*x1^3-2*T(5)*y1*x2-7*T(5)*y1*x1+5*T(5)*y2*x1+6*T(5)*x2*x1-2*T(5)*x1^2+10*T(5)*y1+4*T(5)*y2-T(5)*x2+2*T(5)*x1-4*T(5)-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+2*T(6)*y1^2*x2*x1+4*T(6)*y1^2*y2-4*T(6)*y1*x2*x1^2-2*T(6)*y1^2*x2+5*T(6)*y1^2*x1-T(6)*y1*x2^2-6*T(6)*y1*x2*x1-6*T(6)*y1*x1^2-9*T(6)*y1^2-2*T(6)*y2*x1^2-2*T(6)*x2*x1^2+T(6)*x1^3+8*T(6)*y1*x2+5*T(6)*y1*x1+4*T(6)*y2*x2+6*T(6)*y2*x1-2*T(6)*x2*x1-4*T(6)*x1^2-5*T(6)*y1-11*T(6)*y2-7*T(6)*x2-T(6)*x1+6*T(6)-T(7)*z^3+T(7)*y1^3*y2+T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2+T(7)*z*y1^2-T(7)*y1^2*x2*x1+3*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2-3*T(7)*y1*x2*x1^2-3*T(7)*y1^2*x1-3*T(7)*z^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*y2*x1+T(7)*z*y1+3*T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*z*y2+4*T(7)*y1^2-2*T(7)*y2*x1^2-T(7)*z*x2+2*T(7)*z*x1+T(7)*x2*x1^2+T(7)*x1^3-T(7)*y1*x2-T(7)*y1*x1-T(7)*y2*x2+T(7)*y2*x1-2*T(7)*z-T(7)*x2*x1-T(7)*x1^2+4*T(7)*x2+5*T(7)*x1-T(7)-T(8)*y1*x2*x1^2-T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+T(8)*y1*x2*x1+3*T(8)*y1*x1^2-2*T(8)*y2*x1^2+T(8)*y1*y2+3*T(8)*x1^3-T(8)*y1*x1+T(8)*y2*x1-5*T(8)*x1^2+T(8)*x1-T(9)*z^2*x1^3+T(9)*z^2*x1^2-2*T(9)*z*y1*x1^2-3*T(9)*z*y2*x1^2-T(9)*z*x2*x1^2+T(9)*z*x1^3+2*T(9)*z*y1*x1+T(9)*y1*x2*x1^2+T(9)*y1*x1^3+3*T(9)*z*y2*x1-T(9)*y1^2*x1+T(9)*y2*x1^3+T(9)*z*x2*x1-T(9)*z*x1^2-T(9)*y1*x2*x1+3*T(9)*y1*x1^2+T(9)*y1^2-2*T(9)*y2*x1^2-2*T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3-4*T(9)*y1*x1-2*T(9)*y2*x1+T(9)*x2*x1+3*T(9)*x1^2+T(9)*y1+3*T(9)*x1-z^2*y1*x2^2-z^3*x2-z^2*y1*y2-z^2*x2^3+z^2*x2*x1^2+z^2*y1+y1^2*x2^2-y1^3+z*y1*x2+y1^2*y2+y1*x2^3-y1*x2*x1^2+z*y2*x2-y1^2*x2-y1^2*x1+z^2-4*z*x1^2-3*y1*y2*x1+3*x2*x1^3+y1*x2*x1-z*y2-4*y1^2+y2*x2^2-2*z*x1+2*y1*y2-2*x2*x1^2+3*y1*x1+2*y2*x2+z-2*y1 norid[79]=T(3)*T(5)-T(1)*z*x1^2+2*T(1)*z*y1-4*T(1)*y1*x2*x1+T(1)*z*y2+T(1)*y1^2+T(1)*z*x1-4*T(1)*y1*y2+4*T(1)*x2*x1^2+5*T(1)*x1^3+2*T(1)*y1*x1+4*T(1)*y2*x1+2*T(1)*z-T(1)*x2^2-3*T(1)*x1^2+5*T(1)*y1-5*T(1)*y2-T(1)*x2-2*T(1)*x1+3*T(1)+T(2)*z*y2*x1+T(2)*z*x2+4*T(2)*x1-T(3)*z^2*y2+T(3)*z^2-T(3)*z*y2-9*T(3)*z*x1-T(3)*z-4*T(3)*x2*x1+5*T(3)*x1^2+T(3)*y1+2*T(3)*x1-T(4)*z*y2*x2+T(4)*z*x2*x1+8*T(4)*y1*x2*x1+T(4)*z*y2+T(4)*z*x2-8*T(4)*y2*x1+T(4)*z-T(4)*x2*x1-T(4)*y2+8*T(4)*x1-T(5)*z*x2*x1-2*T(5)*z*y1-4*T(5)*y1*x2*x1-T(5)*z*y2+5*T(5)*y1*x1+4*T(5)*y2*x1+2*T(5)*z+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2+4*T(5)*x1-5*T(5)+T(6)*z*x2*x1+2*T(6)*z*y1+4*T(6)*y1*x2*x1+2*T(6)*z*y2+4*T(6)*y1^2+T(6)*y1*x2-9*T(6)*y2*x1+T(6)*z-13*T(6)*x2*x1-4*T(6)*x1^2-5*T(6)*y1-6*T(6)*y2-6*T(6)*x2+5*T(6)*x1+8*T(6)+T(7)*z*y2*x2+T(7)*z*y2*x1-T(7)*z^2-T(7)*z*y2-T(7)*z*x2-T(7)*z*x1+2*T(7)*z+8*T(7)*x2*x1+8*T(7)*x1^2-T(7)*y1+2*T(7)*x2+2*T(7)*x1-4*T(7)+3*T(8)*x1+T(9)*z*x2*x1^2+T(9)*z*y2*x1-4*T(9)*z*x1^2-T(9)*z*y2-8*T(9)*y2*x1^2-T(9)*x2*x1^2-T(9)*y2*x1+T(9)*z+8*T(9)*x1^2+z*y1^2*y2-z*y1^2*x2+z*y1^2*x1-z^3-y1^2*x2^3+z*y1*y2*x2+z*y1*y2*x1-z^2*y1-2*z*y1*x2^2-2*z*y1*x2*x1+z*y1*x1^2-y1^2*y2*x2-y1*x2^4+y1^2*y2*x1-y1*x2*x1^3-z^2*y2-5*z*y1^2-z*y2*x2^2+y1^2*x2^2-z^2*x1+5*z*y1*y2-6*z*x2*x1^2-4*z*y1*x2-7*z*y1*x1+y1^2*y2+y1*x2^3-y1*x2*x1^2+6*z*y2*x2+2*z*y2*x1+y1^2*x2-y2*x2^3-y1^2*x1+8*z^2-z*x2*x1-2*z*x1^2-2*y1*y2*x2+9*y1*y2*x1-9*x2*x1^3-6*z*y1+4*z*y2+6*y1^2-y2*x2^2-2*z*x2+z*x1-2*y1*y2+2*x2*x1^2+2*y1*x2-9*y1*x1-2*y2*x2-6*z+2*y1 norid[80]=T(4)*T(5)+T(1)*z^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*z*y1+T(1)*z*x2+T(1)*z*x1-T(1)*x1^3-T(1)*y1*x2-3*T(1)*y1*x1-T(1)*z+T(1)*x2^2-8*T(1)*x1^2+5*T(1)*y1-T(1)*y2-2*T(1)*x2+3*T(1)*x1-2*T(1)+T(2)*z*x1+T(2)*x1^2+T(2)*y2-T(2)*x1-T(2)-T(3)*z^2+2*T(3)*z+T(3)*x1^2+T(3)*x2-2*T(3)*x1-T(3)+T(4)*y1^3+T(4)*y1^2*y2-2*T(4)*y1*x2*x1-T(4)*y1*x1^2-3*T(4)*y1^2-T(4)*y2*x1^2-4*T(4)*y1*y2-3*T(4)*y1*x2-T(4)*y1*x1+T(4)*z-T(4)*x2*x1+4*T(4)*y1+T(4)*y2-2*T(4)*x2-4*T(4)*x1-3*T(4)-2*T(5)*y1^2+2*T(5)*y1*y2+2*T(5)*y1*x2+2*T(5)*y1*x1-2*T(5)*y2*x1-T(5)*x2*x1+T(5)*x1^2-5*T(5)*y1+T(5)*y2-T(5)*x1-T(5)-3*T(6)*y1^2*y2+3*T(6)*y1*x2*x1^2+2*T(6)*y1^2*x2+T(6)*y1*x2^2+5*T(6)*y1^2-7*T(6)*y1*x2-6*T(6)*y1*x1-4*T(6)*y2*x2-2*T(6)*y2*x1+T(6)*z-2*T(6)*x2*x1+T(6)*x1^2-T(6)*y1+5*T(6)*y2+T(6)*x2-2*T(6)*x1-T(6)+T(7)*y1^2*x2*x1+3*T(7)*z^2-T(7)*y1*y2*x1-T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*z*y2-3*T(7)*y1^2+T(7)*z*x2+T(7)*z*x1+T(7)*y1*x1+T(7)*y2*x2-2*T(7)*y2*x1+2*T(7)*z+T(7)*x2*x1+T(7)*x1^2+T(7)*y1-2*T(7)*x2-2*T(7)*x1-T(8)*y1*x2*x1-T(8)*y1*x1^2+T(8)*y2*x1^2-T(8)*y1*y2+T(8)*x2*x1^2+2*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+4*T(8)*x1^2-T(8)*x1-T(9)*z^2*x1^2-2*T(9)*z*y1*x1-3*T(9)*z*y2*x1-T(9)*z*x2*x1+T(9)*z*x1^2+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2+T(9)*y2*x1^2+T(9)*z*x1+4*T(9)*y1*x1+T(9)*y2*x1-T(9)*x2*x1-4*T(9)*x1^2-3*T(9)*x1+z^2*y1*y2-z^2*x2*x1^2+z^2*y1*x2+z^2*y2*x2+2*z^3+z^2*x2^2-z^2*y1-z^2*y2-z^2*x1-4*z*x1-4*y1*y2+4*x2*x1^2-4*y2*x2-3*z+4*y1 norid[81]=T(5)^2-T(1)*z*x1^2+3*T(1)*z*y1-3*T(1)*y1*x2*x1+T(1)*y1^2+T(1)*z*x2+T(1)*z*x1-3*T(1)*y1*y2+3*T(1)*x2*x1^2+4*T(1)*x1^3+3*T(1)*y1*x1+3*T(1)*y2*x1+2*T(1)*z-T(1)*x2^2+T(1)*x2*x1+4*T(1)*y1-5*T(1)*y2+2*T(1)*x2-3*T(1)*x1+3*T(1)+T(2)*z*y1*x1+T(2)*x1^2+4*T(2)*x1-T(3)*z^2*y1-T(3)*z*y1-7*T(3)*z*x1-T(3)*z-3*T(3)*x2*x1+4*T(3)*x1^2+T(3)*y1-T(3)*x2+4*T(3)*x1-T(4)*z*y1*x2+T(4)*z*x2*x1+6*T(4)*y1*x2*x1+T(4)*z*y2-6*T(4)*y2*x1+T(4)*z-T(4)*x2*x1-T(4)*y2+6*T(4)*x1-T(5)*z*x2*x1-3*T(5)*z*y1-3*T(5)*y1*x2*x1+4*T(5)*y1*x1+3*T(5)*y2*x1+T(5)*z+5*T(5)*x2*x1+4*T(5)*y1+5*T(5)*y2-T(5)*x2+3*T(5)*x1-5*T(5)+T(6)*z*x2*x1+2*T(6)*z*y1+3*T(6)*y1*x2*x1+2*T(6)*z*y2+3*T(6)*y1^2+T(6)*y1*x2-7*T(6)*y2*x1+T(6)*z-10*T(6)*x2*x1-3*T(6)*x1^2-5*T(6)*y1-6*T(6)*y2-6*T(6)*x2+4*T(6)*x1+8*T(6)+T(7)*z*y1*x2+T(7)*z*y1*x1-T(7)*z^2-T(7)*z*y1+T(7)*z+6*T(7)*x2*x1+6*T(7)*x1^2-T(7)*y1+2*T(7)*x2+T(7)*x1-4*T(7)+2*T(8)*x1+T(9)*z*x2*x1^2+T(9)*z*y2*x1-3*T(9)*z*x1^2-T(9)*z*y1-6*T(9)*y2*x1^2-T(9)*x2*x1^2-T(9)*y2*x1+6*T(9)*x1^2+z*y1^3+z*y1*x2*x1^2+z*y1^2*x2+z*y1^2*x1+z*y1*y2*x1-3*z*y1*x2*x1-z^2*y2-2*z*y1^2+y1^2*x2^2-z^2*x1+4*z*y1*y2-6*z*x2*x1^2-z*y1*x2-4*z*y1*x1+y1^2*y2+y1*x2^3-y1*x2*x1^2+7*z*y2*x2+7*z^2-2*z*x2*x1-2*z*x1^2+6*y1*y2*x1-6*x2*x1^3-5*z*y1+2*z*y2+5*y1^2+y2*x2^2-z*x1-2*y1*y2+2*x2*x1^2-6*y1*x1-2*y2*x2-4*z+2*y1 norid[82]=T(1)*T(6)+T(1)*z*y1*y2*x2+T(1)*z*y1*y2*x1+T(1)*z*x1^3+T(1)*y1^3+T(1)*y1*y2*x1^2+T(1)*z*y1*x2+3*T(1)*z*y1*x1-2*T(1)*z*x2^2+10*T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*x1^4-7*T(1)*z*y1+2*T(1)*y1*x1^2+5*T(1)*z*x2-T(1)*z*x1-3*T(1)*y1*y2+2*T(1)*x2*x1^2+9*T(1)*x1^3-12*T(1)*y1*x1+T(1)*y2*x1+2*T(1)*x2^2+6*T(1)*x2*x1-16*T(1)*x1^2+10*T(1)*y1+4*T(1)*y2-3*T(1)*x2+5*T(1)*x1-6*T(1)-T(2)*z*x1^2+T(2)*z*x1-T(2)*x1^3+T(2)*z-T(2)*x2*x1+T(2)*y2+T(2)*x1-T(2)-T(3)*z^2-T(3)*z*x1^2-2*T(3)*z*x2-T(3)*x1^3+6*T(3)*z-3*T(3)*x2*x1+4*T(3)*x1^2+2*T(3)*x2-5*T(3)*x1-T(4)*z*y1^3-T(4)*z*y1^2*y2-T(4)*y1^3*x1+2*T(4)*z*y1*x2*x1+T(4)*z*y1*x1^2-T(4)*y1^2*y2*x1+3*T(4)*z*y1^2+T(4)*z*y2*x1^2+4*T(4)*z*y1*y2+T(4)*y1^3+3*T(4)*z*y1*x2+T(4)*z*y1*x1+T(4)*y1^2*y2+2*T(4)*y1*x2*x1^2+T(4)*y1*x1^3+3*T(4)*y1^2*x1+T(4)*y2*x1^3+4*T(4)*y1*y2*x1-5*T(4)*z*y1+3*T(4)*y1*x2*x1-T(4)*z*y2-3*T(4)*y1^2-T(4)*y2*x1^2+2*T(4)*z*x2+4*T(4)*z*x1-4*T(4)*y1*y2-T(4)*x2*x1^2-3*T(4)*y1*x2-6*T(4)*y1*x1-4*T(4)*y2*x1+2*T(4)*z+3*T(4)*x2*x1+4*T(4)*x1^2+4*T(4)*y1+2*T(4)*y2-2*T(4)*x2-2*T(4)+2*T(5)*z*y1^2-2*T(5)*z*y1*y2-2*T(5)*z*y1*x2-2*T(5)*z*y1*x1+2*T(5)*z*y2*x1+2*T(5)*y1^2*x1+T(5)*z*x2*x1-T(5)*z*x1^2-2*T(5)*y1*y2*x1+7*T(5)*z*y1-3*T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*z*y2-2*T(5)*y1^2+2*T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*x2*x1^2-T(5)*x1^3+2*T(5)*y1*x2+11*T(5)*y1*x1-3*T(5)*y2*x1-6*T(5)*x2*x1+2*T(5)*x1^2-9*T(5)*y1-4*T(5)*y2+T(5)*x2+4*T(5)+3*T(6)*z*y1^2*y2-3*T(6)*z*y1*x2*x1^2-2*T(6)*z*y1^2*x2-T(6)*z*y1*x2^2+3*T(6)*y1^2*y2*x1-3*T(6)*y1*x2*x1^3-5*T(6)*z*y1^2-2*T(6)*y1^2*x2*x1+7*T(6)*z*y1*x2+6*T(6)*z*y1*x1-4*T(6)*y1^2*y2+4*T(6)*y1*x2*x1^2+4*T(6)*z*y2*x2+2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-5*T(6)*y1^2*x1+2*T(6)*z*x2*x1-T(6)*z*x1^2+T(6)*z*y1+T(6)*y1*x2^2+8*T(6)*y1*x2*x1+6*T(6)*y1*x1^2-7*T(6)*z*y2+11*T(6)*y1^2+2*T(6)*y2*x1^2+2*T(6)*z*x1+T(6)*x2*x1^2-T(6)*x1^3-8*T(6)*y1*x2-7*T(6)*y1*x1-4*T(6)*y2*x2-12*T(6)*y2*x1+2*T(6)*z-4*T(6)*x2*x1+T(6)*x1^2+5*T(6)*y1+11*T(6)*y2+7*T(6)*x2+5*T(6)*x1-5*T(6)-T(7)*z*y1^2*x2*x1-2*T(7)*z^3-T(7)*y1^3*y2+T(7)*z*y1*y2*x1+T(7)*z^2*y1+2*T(7)*z*y1*x2*x1-T(7)*y1^2*y2*x2+T(7)*z^2*y2+2*T(7)*z*y1^2+T(7)*y1^2*x2*x1-T(7)*z^2*x2-4*T(7)*z^2*x1+T(7)*y1^3+T(7)*y1*y2*x1^2-T(7)*z*y1*x1+3*T(7)*y1*x2*x1^2-T(7)*z*y2*x2+2*T(7)*z*y2*x1+3*T(7)*y1^2*x1-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-2*T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*y1*x1^2-4*T(7)*y1^2+2*T(7)*y2*x1^2+3*T(7)*z*x2+T(7)*z*x1-T(7)*x2*x1^2-T(7)*x1^3+T(7)*y2*x2-T(7)*y2*x1+T(7)*z+4*T(7)*x2*x1+5*T(7)*x1^2+T(7)*y1-4*T(7)*x2-5*T(7)*x1+T(8)*z*y1*x2*x1+T(8)*z*y1*x1^2-T(8)*z*y2*x1^2+T(8)*z*y1*y2-T(8)*z*x2*x1^2-2*T(8)*z*x1^3-2*T(8)*z*y1*x1+T(8)*y1*x2*x1^2+T(8)*y1*x1^3+T(8)*z*y2*x1-T(8)*y2*x1^3-T(8)*z*x2*x1-5*T(8)*z*x1^2+T(8)*y1*y2*x1-T(8)*x2*x1^3-2*T(8)*x1^4-T(8)*y1*x2*x1-3*T(8)*y1*x1^2+2*T(8)*y2*x1^2+T(8)*z*x1-T(8)*y1*y2-3*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+5*T(8)*x1^2+T(8)*x1+T(9)*z^3*x1^2+T(9)*z^2*x1^3+2*T(9)*z^2*y1*x1+3*T(9)*z^2*y2*x1+T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+T(9)*z*y1^2+2*T(9)*z*y2*x1^2-T(9)*z^2*x1+T(9)*z*x2*x1^2-T(9)*z*x1^3-6*T(9)*z*y1*x1-T(9)*y1*x2*x1^2-T(9)*y1*x1^3-4*T(9)*z*y2*x1+T(9)*y1^2*x1-T(9)*y2*x1^3+3*T(9)*z*x1^2-T(9)*x2*x1^3+T(9)*y1*x2*x1-3*T(9)*y1*x1^2-T(9)*y1^2-3*T(9)*y2*x1^2+5*T(9)*z*x1+2*T(9)*x2*x1^2+4*T(9)*x1^3+4*T(9)*y1*x1+2*T(9)*y2*x1-T(9)*x2*x1-2*T(9)*x1+z*y1*y2*x1-z*y1*x2*x1-z*y1^2+z*y2*x1^2-y1^2*x2^2+6*z^2*x1+3*z*y1*y2-3*z*x2*x1^2+z*x1^3-3*z*y1*x2-5*z*y1*x1-y1^2*y2-y1*x2^3+y1*x2*x1^2+3*z*y2*x2+z*y2*x1-z*x2*x1+2*z*x1^2+y1*y2*x1-x2*x1^3-4*z*y1+z*y2+2*y1^2-y2*x2^2-2*z*x1-2*y1*y2+2*x2*x1^2-y1*x1-2*y2*x2-3*z+2*y1 norid[83]=T(2)*T(6)-T(1)*z*y1*x1+T(1)*z^2-T(1)*z*x2*x1-T(1)*z*x1^2+T(1)*z*y1+T(1)*z*x2+2*T(1)*z*x1-T(1)*z-T(3)*z^2-T(3)*z*x1+T(3)*z-T(6)*z*x1+T(6)*z+T(7)*z*x1-T(7)*z+z^2*y1*y2+z^2*y2*x2+z^2*y2*x1+2*z^3-z^2*x2*x1+z^2*x1^2-z^2*y1-z^2*y2-z^2*x1 norid[84]=T(3)*T(6)+T(1)*z*y1*y2*x2+T(1)*z*y1*y2*x1+T(1)*z*x1^3+T(1)*y1^3+T(1)*y1*y2*x1^2+T(1)*z*y1*x2+3*T(1)*z*y1*x1-2*T(1)*z*x2^2+10*T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*x1^4-6*T(1)*z*y1+T(1)*y1*x2*x1+2*T(1)*y1*x1^2+5*T(1)*z*x2-2*T(1)*y1*y2+T(1)*x2*x1^2+8*T(1)*x1^3-11*T(1)*y1*x1+2*T(1)*x2^2+7*T(1)*x2*x1-13*T(1)*x1^2+9*T(1)*y1+4*T(1)*y2-2*T(1)*x2+4*T(1)*x1-7*T(1)+T(2)*z*y1*x1-T(2)*z*x1^2-T(2)*z*x2-T(2)*x1^3+T(2)*z-T(2)*x2*x1+T(2)*x1^2+T(2)*y2+T(2)*x1-T(2)-T(3)*z^2*y1-T(3)*z^2-T(3)*z*x1^2-T(3)*z*y1-2*T(3)*z*x2+T(3)*z*x1-T(3)*x1^3+6*T(3)*z-2*T(3)*x2*x1+3*T(3)*x1^2+2*T(3)*x2-3*T(3)*x1+T(3)-T(4)*z*y1^3-T(4)*z*y1^2*y2-T(4)*y1^3*x1+2*T(4)*z*y1*x2*x1+T(4)*z*y1*x1^2-T(4)*y1^2*y2*x1+3*T(4)*z*y1^2+T(4)*z*y2*x1^2+4*T(4)*z*y1*y2+T(4)*y1^3+2*T(4)*z*y1*x2+T(4)*z*y1*x1+T(4)*y1^2*y2+2*T(4)*y1*x2*x1^2+T(4)*y1*x1^3+3*T(4)*y1^2*x1+T(4)*y2*x1^3+4*T(4)*y1*y2*x1-5*T(4)*z*y1+T(4)*y1*x2*x1-T(4)*z*y2-3*T(4)*y1^2-T(4)*y2*x1^2+2*T(4)*z*x2+4*T(4)*z*x1-4*T(4)*y1*y2-T(4)*x2*x1^2-3*T(4)*y1*x2-6*T(4)*y1*x1-2*T(4)*y2*x1+2*T(4)*z+3*T(4)*x2*x1+4*T(4)*x1^2+4*T(4)*y1+2*T(4)*y2-2*T(4)*x2-2*T(4)*x1-2*T(4)+2*T(5)*z*y1^2-2*T(5)*z*y1*y2-2*T(5)*z*y1*x2-2*T(5)*z*y1*x1+2*T(5)*z*y2*x1+2*T(5)*y1^2*x1+T(5)*z*x2*x1-T(5)*z*x1^2-2*T(5)*y1*y2*x1+6*T(5)*z*y1-2*T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*z*y2-2*T(5)*y1^2+2*T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*x2*x1^2-T(5)*x1^3+2*T(5)*y1*x2+10*T(5)*y1*x1-4*T(5)*y2*x1-6*T(5)*x2*x1+2*T(5)*x1^2-9*T(5)*y1-4*T(5)*y2+T(5)*x2-T(5)*x1+4*T(5)+3*T(6)*z*y1^2*y2-3*T(6)*z*y1*x2*x1^2-2*T(6)*z*y1^2*x2-T(6)*z*y1*x2^2+3*T(6)*y1^2*y2*x1-3*T(6)*y1*x2*x1^3-5*T(6)*z*y1^2-2*T(6)*y1^2*x2*x1+7*T(6)*z*y1*x2+6*T(6)*z*y1*x1-4*T(6)*y1^2*y2+4*T(6)*y1*x2*x1^2+4*T(6)*z*y2*x2+2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-5*T(6)*y1^2*x1+2*T(6)*z*x2*x1-T(6)*z*x1^2+T(6)*z*y1+T(6)*y1*x2^2+7*T(6)*y1*x2*x1+6*T(6)*y1*x1^2-7*T(6)*z*y2+10*T(6)*y1^2+2*T(6)*y2*x1^2+2*T(6)*z*x1+T(6)*x2*x1^2-T(6)*x1^3-8*T(6)*y1*x2-7*T(6)*y1*x1-4*T(6)*y2*x2-10*T(6)*y2*x1+2*T(6)*z-T(6)*x2*x1+2*T(6)*x1^2+5*T(6)*y1+11*T(6)*y2+7*T(6)*x2+4*T(6)*x1-5*T(6)-T(7)*z*y1^2*x2*x1-2*T(7)*z^3-T(7)*y1^3*y2+T(7)*z*y1*y2*x1+T(7)*z^2*y1+2*T(7)*z*y1*x2*x1-T(7)*y1^2*y2*x2+T(7)*z^2*y2+2*T(7)*z*y1^2+T(7)*y1^2*x2*x1-T(7)*z^2*x2-4*T(7)*z^2*x1+T(7)*y1^3+T(7)*y1*y2*x1^2+T(7)*z*y1*x2+3*T(7)*y1*x2*x1^2-T(7)*z*y2*x2+2*T(7)*z*y2*x1+3*T(7)*y1^2*x1-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-3*T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*y1*x1^2-4*T(7)*y1^2+2*T(7)*y2*x1^2+3*T(7)*z*x2+T(7)*z*x1-T(7)*x2*x1^2-T(7)*x1^3+T(7)*y2*x2-T(7)*y2*x1+T(7)*z+2*T(7)*x2*x1+3*T(7)*x1^2+T(7)*y1-4*T(7)*x2-6*T(7)*x1+T(8)*z*y1*x2*x1+T(8)*z*y1*x1^2-T(8)*z*y2*x1^2+T(8)*z*y1*y2-T(8)*z*x2*x1^2-2*T(8)*z*x1^3-2*T(8)*z*y1*x1+T(8)*y1*x2*x1^2+T(8)*y1*x1^3+T(8)*z*y2*x1-T(8)*y2*x1^3-T(8)*z*x2*x1-5*T(8)*z*x1^2+T(8)*y1*y2*x1-T(8)*x2*x1^3-2*T(8)*x1^4-T(8)*y1*x2*x1-3*T(8)*y1*x1^2+2*T(8)*y2*x1^2+T(8)*z*x1-T(8)*y1*y2-3*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+5*T(8)*x1^2+T(9)*z^3*x1^2+T(9)*z^2*x1^3+2*T(9)*z^2*y1*x1+3*T(9)*z^2*y2*x1+T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+T(9)*z*y1^2+2*T(9)*z*y2*x1^2-T(9)*z^2*x1+T(9)*z*x2*x1^2-T(9)*z*x1^3-6*T(9)*z*y1*x1-T(9)*y1*x2*x1^2-T(9)*y1*x1^3-4*T(9)*z*y2*x1+T(9)*y1^2*x1-T(9)*y2*x1^3+4*T(9)*z*x1^2-T(9)*x2*x1^3-T(9)*z*y1+T(9)*y1*x2*x1-3*T(9)*y1*x1^2-T(9)*y1^2-T(9)*y2*x1^2+5*T(9)*z*x1+2*T(9)*x2*x1^2+4*T(9)*x1^3+4*T(9)*y1*x1+2*T(9)*y2*x1-T(9)*x2*x1-2*T(9)*x1^2-2*T(9)*x1+z*y1^3+z*y1*x2*x1^2+z*y1^2*x2+z*y1^2*x1+3*z*y1*y2*x1-z*x2*x1^3-2*z*y1*x2*x1+z*y1^2+z*y2*x1^2-y1^2*x2^2+7*z^2*x1+3*z*y1*y2-5*z*x2*x1^2+z*x1^3-2*z*y1*x2-4*z*y1*x1-y1^2*y2-y1*x2^3+y1*x2*x1^2+3*z*y2*x2-z*y2*x1-z*x2*x1+2*z*x1^2-y1*y2*x1+x2*x1^3-4*z*y1-z*y2-y2*x2^2-4*z*x1-2*y1*y2+2*x2*x1^2+y1*x1-2*y2*x2-2*z+2*y1 norid[85]=T(4)*T(6)-T(1)*x1^4-T(1)*z*y1+2*T(1)*y1*x1^2-T(1)*z*x2-T(1)*z*x1+T(1)*x1^3+T(1)*y1*x1+T(1)*z-3*T(1)*x2^2+10*T(1)*x1^2-6*T(1)*y1-3*T(1)*y2+6*T(1)*x2+6*T(1)*x1-6*T(1)+T(2)*y1*x1^2+T(2)*z*x1+T(2)*x2*x1^2+2*T(2)*x1^3-T(2)*x2*x1-2*T(2)*x1^2-T(3)*z*y1*x1-T(3)*z*x1^2-T(3)*x1^3-T(3)*y1*x1-T(3)*z-T(3)*x1^2-3*T(3)*x2+3*T(3)+T(4)*x2*x1^3-T(4)*y1*x2*x1+T(4)*y2*x1^2-T(4)*x2*x1^2-3*T(4)*x2*x1+T(4)*x1^2-3*T(4)*y1-T(4)*x1-T(5)*x2*x1^3-2*T(5)*y1*x1^2-T(5)*y1*x1+6*T(5)*y1-3*T(5)*y2-3*T(5)+T(6)*x2*x1^3+2*T(6)*y1*x1^2+2*T(6)*y2*x1^2-T(6)*z+T(6)*x1^2-6*T(6)*y2+3*T(6)*x2-T(7)*z*x1^2+T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*x2*x1^2+T(7)*x1^3-T(7)*y1*x1+T(7)*z-T(7)*x1^2+3*T(7)*y2-3*T(7)-3*T(8)*y1*x1-3*T(8)*x2*x1-3*T(8)*x1^2+T(9)*x2*x1^4+T(9)*y2*x1^3+T(9)*x1^3-T(9)*y1*x1-T(9)*x1^2-z^2*y1^2*x2-z^3*y1-z^2*y1*x2^2-z^2*y1*x2*x1-z^3*y2+z^2*y1^2-z^2*x2*x1^2+z^2*y1*x2+2*z^2*y1*x1-z^2*y2*x2-z^2*y2*x1+z^2*x2*x1+z^2*x1^2+y1^3*x1+z^2*y2+y1^2*x2*x1+y1^2*x1^2+2*z^2*x1-z*x1^3+6*y1*y2*x1^2-6*x2*x1^4-y1*x2*x1^2+3*z*y2*x1+6*y1^2*x1-3*z*x2*x1+7*z*x1^2+3*y1*y2*x1-3*x2*x1^3+6*z*y1-6*y1*x1^2-3*z*y2+3*y1^2+3*z*x2+6*z*x1-6*y1*y2+6*x2*x1^2-3*y1*x1-6*y2*x2-6*z+6*y1 norid[86]=T(5)*T(6)+T(1)*z*y1*y2*x2+T(1)*z*y1*y2*x1+T(1)*z*x1^3+T(1)*y1^3+T(1)*y1*y2*x1^2+T(1)*z*y1*x2+3*T(1)*z*y1*x1-2*T(1)*z*x2^2+10*T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*x1^4-7*T(1)*z*y1+2*T(1)*y1*x1^2+T(1)*y1^2+6*T(1)*z*x2-2*T(1)*z*x1-3*T(1)*y1*y2+2*T(1)*x2*x1^2+9*T(1)*x1^3+T(1)*y1*x2-11*T(1)*y1*x1+T(1)*y2*x1-T(1)*z+2*T(1)*x2^2+6*T(1)*x2*x1-16*T(1)*x1^2+9*T(1)*y1+4*T(1)*y2-3*T(1)*x2+5*T(1)*x1-6*T(1)-T(2)*z*x1^2-T(2)*z*y2+T(2)*z*x1-T(2)*x1^3+T(2)*z-T(2)*x2*x1+T(2)*y2+T(2)*x1-T(2)-T(3)*z^2-T(3)*z*x1^2-2*T(3)*z*x2+T(3)*z*x1-T(3)*x1^3+7*T(3)*z-3*T(3)*x2*x1+4*T(3)*x1^2+T(3)*y1+2*T(3)*x2-5*T(3)*x1-T(4)*z*y1^3-T(4)*z*y1^2*y2-T(4)*y1^3*x1+2*T(4)*z*y1*x2*x1+T(4)*z*y1*x1^2-T(4)*y1^2*y2*x1+3*T(4)*z*y1^2+T(4)*z*y2*x1^2+4*T(4)*z*y1*y2+T(4)*y1^3+3*T(4)*z*y1*x2+T(4)*z*y1*x1+T(4)*y1^2*y2+2*T(4)*y1*x2*x1^2+T(4)*y1*x1^3+3*T(4)*y1^2*x1+T(4)*y2*x1^3-T(4)*z^2+4*T(4)*y1*y2*x1-5*T(4)*z*y1+3*T(4)*y1*x2*x1-T(4)*z*y2-3*T(4)*y1^2-T(4)*y2*x1^2+2*T(4)*z*x2+4*T(4)*z*x1-4*T(4)*y1*y2-T(4)*x2*x1^2-3*T(4)*y1*x2-6*T(4)*y1*x1-4*T(4)*y2*x1+2*T(4)*z+3*T(4)*x2*x1+4*T(4)*x1^2+4*T(4)*y1+2*T(4)*y2-2*T(4)*x2-2*T(4)+2*T(5)*z*y1^2-2*T(5)*z*y1*y2-2*T(5)*z*y1*x2-2*T(5)*z*y1*x1+2*T(5)*z*y2*x1+2*T(5)*y1^2*x1+T(5)*z*x2*x1-T(5)*z*x1^2-2*T(5)*y1*y2*x1+7*T(5)*z*y1-3*T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*z*y2-2*T(5)*y1^2+2*T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*x2*x1^2-T(5)*x1^3+2*T(5)*y1*x2+11*T(5)*y1*x1-3*T(5)*y2*x1-6*T(5)*x2*x1+2*T(5)*x1^2-9*T(5)*y1-4*T(5)*y2+T(5)*x2+4*T(5)+3*T(6)*z*y1^2*y2-3*T(6)*z*y1*x2*x1^2-2*T(6)*z*y1^2*x2-T(6)*z*y1*x2^2+3*T(6)*y1^2*y2*x1-3*T(6)*y1*x2*x1^3-5*T(6)*z*y1^2-2*T(6)*y1^2*x2*x1+7*T(6)*z*y1*x2+6*T(6)*z*y1*x1-4*T(6)*y1^2*y2+4*T(6)*y1*x2*x1^2+4*T(6)*z*y2*x2+2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-5*T(6)*y1^2*x1+2*T(6)*z*x2*x1-T(6)*z*x1^2+T(6)*z*y1+T(6)*y1*x2^2+8*T(6)*y1*x2*x1+6*T(6)*y1*x1^2-7*T(6)*z*y2+11*T(6)*y1^2+2*T(6)*y2*x1^2+2*T(6)*z*x1+T(6)*x2*x1^2-T(6)*x1^3-8*T(6)*y1*x2-7*T(6)*y1*x1-4*T(6)*y2*x2-12*T(6)*y2*x1+2*T(6)*z-4*T(6)*x2*x1+T(6)*x1^2+6*T(6)*y1+11*T(6)*y2+7*T(6)*x2+5*T(6)*x1-5*T(6)-T(7)*z*y1^2*x2*x1-2*T(7)*z^3-T(7)*y1^3*y2+T(7)*z*y1*y2*x1+T(7)*z^2*y1+2*T(7)*z*y1*x2*x1-T(7)*y1^2*y2*x2+T(7)*z^2*y2+2*T(7)*z*y1^2+T(7)*y1^2*x2*x1-T(7)*z^2*x2-4*T(7)*z^2*x1+T(7)*y1^3+T(7)*y1*y2*x1^2-T(7)*z*y1*x1+3*T(7)*y1*x2*x1^2-T(7)*z*y2*x2+2*T(7)*z*y2*x1+3*T(7)*y1^2*x1-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-2*T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*y1*x1^2-4*T(7)*y1^2+2*T(7)*y2*x1^2+3*T(7)*z*x2+T(7)*z*x1-T(7)*x2*x1^2-T(7)*x1^3+T(7)*y2*x2-T(7)*y2*x1+T(7)*z+4*T(7)*x2*x1+5*T(7)*x1^2-4*T(7)*x2-5*T(7)*x1+T(8)*z*y1*x2*x1+T(8)*z*y1*x1^2-T(8)*z*y2*x1^2+T(8)*z*y1*y2-T(8)*z*x2*x1^2-2*T(8)*z*x1^3-2*T(8)*z*y1*x1+T(8)*y1*x2*x1^2+T(8)*y1*x1^3+T(8)*z*y2*x1-T(8)*y2*x1^3-T(8)*z*x2*x1-5*T(8)*z*x1^2+T(8)*y1*y2*x1-T(8)*x2*x1^3-2*T(8)*x1^4-T(8)*y1*x2*x1-3*T(8)*y1*x1^2+2*T(8)*y2*x1^2+T(8)*z*x1-T(8)*y1*y2-3*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+5*T(8)*x1^2+T(8)*x1+T(9)*z^3*x1^2+T(9)*z^2*x1^3+2*T(9)*z^2*y1*x1+3*T(9)*z^2*y2*x1+T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+T(9)*z*y1^2+2*T(9)*z*y2*x1^2-T(9)*z^2*x1+T(9)*z*x2*x1^2-T(9)*z*x1^3-6*T(9)*z*y1*x1-T(9)*y1*x2*x1^2-T(9)*y1*x1^3-4*T(9)*z*y2*x1+T(9)*y1^2*x1-T(9)*y2*x1^3+3*T(9)*z*x1^2-T(9)*x2*x1^3+T(9)*y1*x2*x1-3*T(9)*y1*x1^2-T(9)*y1^2-3*T(9)*y2*x1^2+5*T(9)*z*x1+2*T(9)*x2*x1^2+4*T(9)*x1^3+4*T(9)*y1*x1+2*T(9)*y2*x1-T(9)*x2*x1-2*T(9)*x1-z^3*y1*x2-z^4-z^3*x2^2-z^3*x2*x1+z*x2*x1^3-z*y1*x2*x1-z^2*y2-2*z*y1^2+z*y2*x1^2-y1^2*x2^2+4*z^2*x1+3*z*y1*y2-3*z*x2*x1^2+z*x1^3-3*z*y1*x2-5*z*y1*x1-y1^2*y2-y1*x2^3+y1*x2*x1^2+3*z*y2*x2+z*y2*x1-z*x2*x1+2*z*x1^2+y1*y2*x1-x2*x1^3-4*z*y1+z*y2+2*y1^2-y2*x2^2-2*z*x1-2*y1*y2+2*x2*x1^2-y1*x1-2*y2*x2-3*z+2*y1 norid[87]=T(6)^2+T(1)*z^2*y1+T(1)*z^2*x2+T(1)*z^2*x1+T(1)*z*x1^3-2*T(1)*z*y1*x1+T(1)*y1*x2*x1^2-T(1)*z^2-T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*x2*x1^3-T(1)*x1^4-T(1)*y2*x1^2+T(1)*z*x2-3*T(1)*z*x1+T(1)*x1^3-T(1)*y1*x2-5*T(1)*y1*x1-T(1)*z+2*T(1)*x2^2-T(1)*x2*x1-11*T(1)*x1^2+7*T(1)*y1-4*T(1)*x2+2*T(1)*x1-T(2)*z*x2*x1-3*T(2)*z*x1^2+2*T(2)*z*x1-T(2)*x1^2+T(2)*y2-T(2)*x1-T(2)+2*T(3)*z^2*x1+T(3)*z^2+3*T(3)*z*x1^2+T(3)*x2*x1^2-T(3)*x1^3+2*T(3)*z+2*T(3)*x1^2+2*T(3)*x2-3*T(3)*x1-2*T(3)-T(4)*z*x2*x1^2+T(4)*y1^3+T(4)*y1^2*y2-2*T(4)*y1*x2*x1^2-T(4)*z*y2*x1+2*T(4)*z*x2*x1-2*T(4)*y1*x2*x1-T(4)*y1*x1^2-3*T(4)*y1^2+T(4)*y2*x1^2-T(4)*z*x1-4*T(4)*y1*y2-3*T(4)*y1*x2-T(4)*y1*x1+2*T(4)*z-2*T(4)*x1^2+5*T(4)*y1+T(4)*y2-2*T(4)*x2-4*T(4)*x1-3*T(4)+T(5)*z*x2*x1^2+2*T(5)*z*y1*x1+T(5)*y1*x2*x1^2-T(5)*y1*x1^2-2*T(5)*y1^2-T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*y1*x2+2*T(5)*y1*x1-2*T(5)*y2*x1-T(5)*x2*x1-7*T(5)*y1+2*T(5)*y2-T(5)*x1-T(6)*z*x2*x1^2-2*T(6)*z*y1*x1-3*T(6)*y1^2*y2+2*T(6)*y1*x2*x1^2-2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-T(6)*y1^2*x1+T(6)*z^2+T(6)*y1*x2^2+5*T(6)*y1^2+2*T(6)*y2*x1^2-T(6)*z*x1+3*T(6)*x2*x1^2+T(6)*x1^3-7*T(6)*y1*x2-6*T(6)*y1*x1-4*T(6)*y2*x2-2*T(6)*y2*x1-2*T(6)*x2*x1-T(6)*x1^2-T(6)*y1+7*T(6)*y2-3*T(6)*x1-T(6)+T(7)*y1^2*x2*x1+T(7)*z^2*x1+2*T(7)*z^2-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*z*y2-3*T(7)*y1^2+T(7)*z*x2+3*T(7)*z*x1-2*T(7)*x2*x1^2-2*T(7)*x1^3+T(7)*y1*x1+T(7)*y2*x2-2*T(7)*y2*x1+3*T(7)*z+T(7)*x2*x1+T(7)*x1^2+T(7)*y1-T(7)*y2-2*T(7)*x2-T(7)*x1+T(7)-T(8)*y1*x2*x1-T(8)*y1*x1^2+T(8)*y2*x1^2-T(8)*y1*y2+T(8)*x2*x1^2+2*T(8)*x1^3+2*T(8)*y1*x1-T(8)*y2*x1+T(8)*x2*x1+4*T(8)*x1^2-T(8)*x1-T(9)*z^2*x1^2-T(9)*z*x2*x1^3-T(9)*z*y2*x1^2+T(9)*z*x1^3-2*T(9)*z*y1*x1-3*T(9)*z*y2*x1+2*T(9)*y2*x1^3-T(9)*z*x2*x1+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2+T(9)*y2*x1^2+3*T(9)*z*x1-2*T(9)*x1^3+4*T(9)*y1*x1+T(9)*y2*x1-T(9)*x2*x1-4*T(9)*x1^2-3*T(9)*x1-2*z^3*y1-2*z^3*x2-3*z^3*x1+z*y1^2*x1-z^3-4*z*y1*y2*x1+3*z*x2*x1^3+z*y1*x2*x1+2*z*y1*x1^2-4*z*y1^2-z*y2*x1^2-4*z^2*x1+z*x2*x1^2+z*x1^3-2*y1*y2*x1^2+2*x2*x1^4+4*z*y1*x1-z*y2*x1-2*y1^2*x1-z^2+z*x2*x1-z*x1^2-y1*y2*x1+x2*x1^3-2*z*y1+2*y1*x1^2+z*y2-y1^2-z*x2-5*z*x1-2*y1*y2+2*x2*x1^2+y1*x1-2*y2*x2-z+2*y1 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norid[91]=T(4)*T(7)+T(1)*z*y1*y2*x2+T(1)*z*y1*y2*x1+T(1)*z*x1^3+T(1)*y1^3+T(1)*y1*y2*x1^2+T(1)*z*y1*x2+3*T(1)*z*y1*x1-2*T(1)*z*x2^2+10*T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*x1^4-7*T(1)*z*y1+3*T(1)*y1*x1^2+T(1)*y1^2+5*T(1)*z*x2-2*T(1)*z*x1-3*T(1)*y1*y2+3*T(1)*x2*x1^2+10*T(1)*x1^3+T(1)*y1*x2-12*T(1)*y1*x1+T(1)*y2*x1+2*T(1)*x2^2+5*T(1)*x2*x1-18*T(1)*x1^2+9*T(1)*y1+4*T(1)*y2-3*T(1)*x2+6*T(1)*x1-6*T(1)-T(2)*z*x1^2-T(2)*z*y2+T(2)*z*x1-T(2)*x1^3+T(2)*z-T(2)*x2*x1+T(2)*y2+T(2)*x1-T(2)-T(3)*z^2-T(3)*z*x1^2-2*T(3)*z*x2+T(3)*z*x1-T(3)*x1^3+6*T(3)*z-3*T(3)*x2*x1+5*T(3)*x1^2+T(3)*y1+2*T(3)*x2-6*T(3)*x1-T(4)*z*y1^3-T(4)*z*y1^2*y2-T(4)*y1^3*x1+2*T(4)*z*y1*x2*x1+T(4)*z*y1*x1^2-T(4)*y1^2*y2*x1+3*T(4)*z*y1^2+T(4)*z*y2*x1^2+4*T(4)*z*y1*y2+T(4)*y1^3+3*T(4)*z*y1*x2+T(4)*z*y1*x1+T(4)*y1^2*y2+2*T(4)*y1*x2*x1^2+T(4)*y1*x1^3+3*T(4)*y1^2*x1+T(4)*y2*x1^3-T(4)*z^2+4*T(4)*y1*y2*x1-5*T(4)*z*y1+3*T(4)*y1*x2*x1-T(4)*z*y2-3*T(4)*y1^2-T(4)*y2*x1^2+2*T(4)*z*x2+4*T(4)*z*x1-4*T(4)*y1*y2-T(4)*x2*x1^2-3*T(4)*y1*x2-6*T(4)*y1*x1-4*T(4)*y2*x1+2*T(4)*z+3*T(4)*x2*x1+4*T(4)*x1^2+4*T(4)*y1+2*T(4)*y2-2*T(4)*x2-2*T(4)+2*T(5)*z*y1^2-2*T(5)*z*y1*y2-2*T(5)*z*y1*x2-2*T(5)*z*y1*x1+2*T(5)*z*y2*x1+2*T(5)*y1^2*x1+T(5)*z*x2*x1-T(5)*z*x1^2-2*T(5)*y1*y2*x1+7*T(5)*z*y1-3*T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*z*y2-2*T(5)*y1^2+2*T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*x2*x1^2-T(5)*x1^3+2*T(5)*y1*x2+11*T(5)*y1*x1-3*T(5)*y2*x1-6*T(5)*x2*x1+2*T(5)*x1^2-9*T(5)*y1-4*T(5)*y2+T(5)*x2+4*T(5)+3*T(6)*z*y1^2*y2-3*T(6)*z*y1*x2*x1^2-2*T(6)*z*y1^2*x2-T(6)*z*y1*x2^2+3*T(6)*y1^2*y2*x1-3*T(6)*y1*x2*x1^3-5*T(6)*z*y1^2-2*T(6)*y1^2*x2*x1+7*T(6)*z*y1*x2+6*T(6)*z*y1*x1-4*T(6)*y1^2*y2+4*T(6)*y1*x2*x1^2+4*T(6)*z*y2*x2+2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-5*T(6)*y1^2*x1+2*T(6)*z*x2*x1-T(6)*z*x1^2+T(6)*z*y1+T(6)*y1*x2^2+8*T(6)*y1*x2*x1+6*T(6)*y1*x1^2-7*T(6)*z*y2+11*T(6)*y1^2+2*T(6)*y2*x1^2+2*T(6)*z*x1+T(6)*x2*x1^2-T(6)*x1^3-8*T(6)*y1*x2-7*T(6)*y1*x1-4*T(6)*y2*x2-12*T(6)*y2*x1+2*T(6)*z-4*T(6)*x2*x1+2*T(6)*x1^2+6*T(6)*y1+11*T(6)*y2+7*T(6)*x2+4*T(6)*x1-5*T(6)-T(7)*z*y1^2*x2*x1-2*T(7)*z^3-T(7)*y1^3*y2+T(7)*z*y1*y2*x1+T(7)*z^2*y1+2*T(7)*z*y1*x2*x1-T(7)*y1^2*y2*x2+T(7)*z^2*y2+2*T(7)*z*y1^2+T(7)*y1^2*x2*x1-T(7)*z^2*x2-4*T(7)*z^2*x1+T(7)*y1^3+T(7)*y1*y2*x1^2-T(7)*z*y1*x1+3*T(7)*y1*x2*x1^2-T(7)*z*y2*x2+2*T(7)*z*y2*x1+3*T(7)*y1^2*x1-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-2*T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*y1*x1^2-4*T(7)*y1^2+2*T(7)*y2*x1^2+3*T(7)*z*x2+T(7)*z*x1-T(7)*x2*x1^2-T(7)*x1^3+T(7)*y2*x2-T(7)*y2*x1+T(7)*z+4*T(7)*x2*x1+4*T(7)*x1^2-4*T(7)*x2-4*T(7)*x1+T(8)*z*y1*x2*x1+T(8)*z*y1*x1^2-T(8)*z*y2*x1^2+T(8)*z*y1*y2-T(8)*z*x2*x1^2-2*T(8)*z*x1^3-2*T(8)*z*y1*x1+T(8)*y1*x2*x1^2+T(8)*y1*x1^3+T(8)*z*y2*x1-T(8)*y2*x1^3-T(8)*z*x2*x1-5*T(8)*z*x1^2+T(8)*y1*y2*x1-T(8)*x2*x1^3-2*T(8)*x1^4-T(8)*y1*x2*x1-3*T(8)*y1*x1^2+2*T(8)*y2*x1^2+T(8)*z*x1-T(8)*y1*y2-3*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+5*T(8)*x1^2+T(8)*x1+T(9)*z^3*x1^2+T(9)*z^2*x1^3+2*T(9)*z^2*y1*x1+3*T(9)*z^2*y2*x1+T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+T(9)*z*y1^2+2*T(9)*z*y2*x1^2-T(9)*z^2*x1+T(9)*z*x2*x1^2-T(9)*z*x1^3-6*T(9)*z*y1*x1-T(9)*y1*x2*x1^2-T(9)*y1*x1^3-4*T(9)*z*y2*x1+T(9)*y1^2*x1-T(9)*y2*x1^3+3*T(9)*z*x1^2-T(9)*x2*x1^3+T(9)*y1*x2*x1-3*T(9)*y1*x1^2-T(9)*y1^2-3*T(9)*y2*x1^2+5*T(9)*z*x1+2*T(9)*x2*x1^2+4*T(9)*x1^3+4*T(9)*y1*x1+2*T(9)*y2*x1-T(9)*x2*x1-2*T(9)*x1-z^3*y1*x2-z^4-z^3*x2^2-z^3*x2*x1-z*y1*x2*x1-2*z*y1^2-y1^2*x2^2+4*z^2*x1+3*z*y1*y2-2*z*x2*x1^2-3*z*y1*x2-5*z*y1*x1-y1^2*y2-y1*x2^3+y1*x2*x1^2+3*z*y2*x2+2*z*y2*x1-z*x2*x1+3*z*x1^2+y1*y2*x1-x2*x1^3-4*z*y1+z*y2+2*y1^2-y2*x2^2-2*z*x1-2*y1*y2+2*x2*x1^2-y1*x1-2*y2*x2-3*z+2*y1 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norid[96]=T(2)*T(8)-T(1)*y1^3-T(1)*y1*y2*x1^2-T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y1*x1^2+T(1)*y1*y2-T(1)*x2*x1^2-8*T(1)*x1^3-T(1)*y1*x2+8*T(1)*y1*x1+T(1)*y2*x1-T(1)*x2^2-5*T(1)*x2*x1+3*T(1)*x1^2-T(1)*y1-4*T(1)*y2-2*T(1)*x2-7*T(1)*x1+3*T(1)+T(2)*x1^3-T(2)*y1*x1-T(2)*x1^2+T(2)*x2+T(2)*x1+T(3)*z*y1-T(3)*z*x1+T(3)*x1^3-2*T(3)*z+T(3)*x2^2+T(3)*x2*x1-T(3)*x1^2+T(3)*y1+2*T(3)*x2+2*T(3)*x1+T(3)+T(4)*y1^3*x1+T(4)*y1^2*y2*x1-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1-T(4)*y1*x2*x1-T(4)*y1*x1^2+T(4)*y1*x2+5*T(4)*y1*x1-T(4)*y2*x1-2*T(4)*x2*x1-4*T(4)*x1^2+T(4)*y1-T(4)*y2-T(4)*x1-2*T(5)*y1^2*x1+2*T(5)*y1*y2*x1+T(5)*y1*x2*x1+2*T(5)*y1*x1^2-2*T(5)*y2*x1^2-T(5)*x2*x1^2+T(5)*x1^3-5*T(5)*y1*x1+3*T(5)*y2*x1+5*T(5)*x2*x1-T(5)*x1^2+3*T(5)*y1+6*T(5)*y2-T(5)*x2+T(5)*x1-4*T(5)-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+2*T(6)*y1^2*x2*x1+T(6)*y1^2*y2-T(6)*y1*x2*x1^2+5*T(6)*y1^2*x1-6*T(6)*y1*x2*x1-6*T(6)*y1*x1^2-4*T(6)*y1^2-2*T(6)*y2*x1^2-2*T(6)*x2*x1^2+T(6)*x1^3+T(6)*y1*x2-T(6)*y1*x1+4*T(6)*y2*x1-4*T(6)*x2*x1-3*T(6)*x1^2-6*T(6)*y1-4*T(6)*y2-7*T(6)*x2-3*T(6)*x1+5*T(6)-T(7)*z^3+T(7)*y1^3*y2+T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2+T(7)*z*y1^2+3*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2-3*T(7)*y1*x2*x1^2-3*T(7)*y1^2*x1+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*x1^2+T(7)*y1^2-2*T(7)*y2*x1^2+3*T(7)*z*x1+T(7)*x2*x1^2+T(7)*x1^3-T(7)*y1*x2-T(7)*y2*x1+T(7)*z+T(7)*y1-T(7)*y2+2*T(7)*x2+3*T(7)*x1-T(8)*y1*x2*x1^2-T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+2*T(8)*y1*x1^2-T(8)*y2*x1^2+T(8)*x2*x1^2+5*T(8)*x1^3+T(8)*y1*x1+T(8)*x2*x1-T(9)*z^2*x1^3-2*T(9)*z*y1*x1^2-3*T(9)*z*y2*x1^2-T(9)*z*x2*x1^2+T(9)*z*x1^3+T(9)*y1*x2*x1^2+T(9)*y1*x1^3-T(9)*y1^2*x1+T(9)*y2*x1^3+4*T(9)*y1*x1^2-T(9)*y2*x1^2-T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3-T(9)*y2*x1-T(9)*x1^2+T(9)*y1-y1^2*x2^4-z*y1*x2^3+y1^4-y1^2*y2*x2^2-y1*x2^5-y1^2*y2*x1^2+y1*x2*x1^4-z*y2*x2^3-z*y1*x2^2-z*y2*x2^2+2*y1^2*x2^2-y2*x2^4-y1^2*x2*x1+y1^2*x1^2-2*y1*y2*x2^2-y1*y2*x1^2+x2*x1^4+z*y1*x2+y1^2*y2+y1*x2^3-y1*x2*x1^2-2*y1^2*x2-2*y2*x2^3-y1^2*x1+z^2-2*z*x2^2+z*x2*x1-4*z*x1^2-2*y1*y2*x2-3*y1*y2*x1+3*x2*x1^3-2*z*y1+2*y1*x2^2+y1*x1^2-z*y2-6*y1^2-y2*x2^2-4*z*x2-9*z*x1+2*y1*x2+3*y1*x1 norid[97]=T(3)*T(8)-T(1)*y1*y2*x2-T(1)*y1*y2*x1-T(1)*y1*x2*x1+T(1)*z*x2-T(1)*y1*y2+T(1)*x2*x1^2+T(1)*x1^3-2*T(1)*y1*x2-T(1)*y1*x1+T(1)*y2*x1-2*T(1)*z+T(1)*x2*x1-2*T(1)*x1^2+2*T(1)*y1-6*T(1)*y2-T(1)*x2-4*T(1)*x1-4*T(1)-T(2)*z^2-T(2)*y2*x2^2-T(2)*z*x1+T(2)*y2*x2+T(2)*x2^2+T(2)*x2*x1+T(2)*x1^2+T(2)*y2-T(2)*x2-T(2)+T(3)*z^2-2*T(3)*z*x1+T(3)*z-T(3)*x2*x1+3*T(3)*x1^2+T(3)*x2+6*T(3)*x1+T(4)*y1^3+T(4)*y1^2*y2-T(4)*y1*x1^2-3*T(4)*y1^2-T(4)*y2*x1^2+T(4)*z*x2-4*T(4)*y1*y2-3*T(4)*y1*x2-T(4)*y1*x1-2*T(4)*y2*x1-4*T(4)*x2*x1+4*T(4)*y1-2*T(4)*y2-2*T(4)*x2-2*T(4)*x1-5*T(4)-T(5)*y1*x2*x1-2*T(5)*y1^2+2*T(5)*y1*y2+2*T(5)*y1*x2+4*T(5)*y1*x1-T(5)*y2*x1+T(5)*z+6*T(5)*x2*x1+T(5)*x1^2+3*T(5)*y1+6*T(5)*y2-T(5)*x2-8*T(5)-3*T(6)*y1^2*y2+3*T(6)*y1*x2*x1^2+2*T(6)*y1^2*x2+T(6)*y1*x2^2+T(6)*y1*x2*x1+6*T(6)*y1^2-6*T(6)*y1*x2-6*T(6)*y1*x1-4*T(6)*y2*x2-5*T(6)*y2*x1-8*T(6)*x2*x1-11*T(6)*y1-5*T(6)*y2-5*T(6)*x2-2*T(6)*x1+5*T(6)+T(7)*y1^2*x2*x1+3*T(7)*z^2-T(7)*y1*y2*x1-T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*z*y2-3*T(7)*y1^2+T(7)*y1*x1+T(7)*y2*x2-2*T(7)*y2*x1+7*T(7)*z+3*T(7)*x2*x1+3*T(7)*x1^2+T(7)*y1-T(7)*x1-2*T(7)-T(8)*y1*x2*x1-T(8)*y1*x1^2+T(8)*y2*x1^2-T(8)*y1*y2+T(8)*x2*x1^2+2*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+4*T(8)*x1^2-T(8)*x1-T(9)*z^2*x1^2-2*T(9)*z*y1*x1-3*T(9)*z*y2*x1-T(9)*z*x2*x1+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2-T(9)*y2*x1^2-3*T(9)*x2*x1^2+4*T(9)*y1*x1-2*T(9)*y2*x1+T(9)*z-T(9)*x2*x1-2*T(9)*x1^2-5*T(9)*x1-z*y1*x2^4-z^2*x2^3+z*y1^3-z*y1*y2*x2^2-z*x2^5-z*y1*y2*x1^2+z*x2*x1^4+z*y1*x2^3+z*y2*x2^3+z^2*x2*x1+z*y1*y2*x2+z*x2^4-z*y1*y2*x1+z*x2*x1^3+z^2*y1+2*z*y1*x2^2-z*y1*x2*x1+z*y1*x1^2-z*y2*x2^2+2*z^2*x2-z*x2^3-3*z*x2*x1^2-2*z*y1*x2+2*z*y1*x1-3*z*y2*x1+2*y1^2*x2+z*x2^2+z*x2*x1-y1*y2*x2+2*y1*y2*x1-2*x2*x1^3+2*z*y1+2*y1*x2^2+2*y1*x2*x1+2*z*y2+y1^2-y2*x2^2-z*x2-7*z*x1-12*y1*y2+12*x2*x1^2+y1*x2-2*y1*x1-10*y2*x2-12*z+12*y1 norid[98]=T(4)*T(8)-T(1)*z*y1*y2*x2-T(1)*z*y1*y2*x1-T(1)*z*x1^3-T(1)*y1^3-T(1)*y1*y2*x1^2-T(1)*z*y1*x2-3*T(1)*z*y1*x1+2*T(1)*z*x2^2-10*T(1)*z*x1^2-T(1)*x1^4+7*T(1)*z*y1-2*T(1)*y1*x1^2-T(1)*y1^2-5*T(1)*z*x2+T(1)*z*x1+3*T(1)*y1*y2-2*T(1)*x2*x1^2-10*T(1)*x1^3-2*T(1)*y1*x2+8*T(1)*y1*x1-T(1)*y2*x1-T(1)*x2^2-6*T(1)*x2*x1+8*T(1)*x1^2-4*T(1)*y1-5*T(1)*y2+T(1)*x2-2*T(1)*x1+4*T(1)-T(2)*z*x2^2+T(2)*z*x1^2-2*T(2)*z*x1+T(2)*x1^3+T(2)*x2*x1+T(2)*x1^2-2*T(2)*x1+2*T(3)*z^2+T(3)*z*x1^2+2*T(3)*z*x2+T(3)*x1^3-5*T(3)*z+3*T(3)*x2*x1-3*T(3)*x1^2-T(3)*y1-T(3)*x2+3*T(3)*x1-T(3)+T(4)*z*y1^3+T(4)*z*y1^2*y2+T(4)*y1^3*x1-2*T(4)*z*y1*x2*x1-T(4)*z*y1*x1^2+T(4)*y1^2*y2*x1-3*T(4)*z*y1^2-T(4)*z*y2*x1^2-4*T(4)*z*y1*y2-3*T(4)*z*y1*x2-T(4)*z*y1*x1-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1+5*T(4)*z*y1-5*T(4)*y1*x2*x1-T(4)*y1*x1^2+T(4)*z*y2-T(4)*z*x2-4*T(4)*z*x1+T(4)*x2*x1^2+5*T(4)*y1*x1+4*T(4)*y2*x1-T(4)*z-4*T(4)*x2*x1-4*T(4)*x1^2-T(4)*y2-4*T(4)*x1-T(4)-2*T(5)*z*y1^2+2*T(5)*z*y1*y2+2*T(5)*z*y1*x2+2*T(5)*z*y1*x1-2*T(5)*z*y2*x1-2*T(5)*y1^2*x1-T(5)*z*x2*x1+T(5)*z*x1^2+2*T(5)*y1*y2*x1-7*T(5)*z*y1+3*T(5)*y1*x2*x1+2*T(5)*y1*x1^2+2*T(5)*z*y2-2*T(5)*y2*x1^2-T(5)*z*x1-2*T(5)*x2*x1^2+T(5)*x1^3-9*T(5)*y1*x1+T(5)*y2*x1+T(5)*z+5*T(5)*x2*x1-T(5)*x1^2+4*T(5)*y1+5*T(5)*y2-T(5)*x2-T(5)*x1-5*T(5)-3*T(6)*z*y1^2*y2+3*T(6)*z*y1*x2*x1^2+2*T(6)*z*y1^2*x2+T(6)*z*y1*x2^2-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+5*T(6)*z*y1^2+2*T(6)*y1^2*x2*x1-7*T(6)*z*y1*x2-6*T(6)*z*y1*x1+T(6)*y1^2*y2-T(6)*y1*x2*x1^2-4*T(6)*z*y2*x2-2*T(6)*z*y2*x1+5*T(6)*y1^2*x1-2*T(6)*z*x2*x1+T(6)*z*x1^2-T(6)*z*y1-8*T(6)*y1*x2*x1-6*T(6)*y1*x1^2+7*T(6)*z*y2-6*T(6)*y1^2-2*T(6)*y2*x1^2-2*T(6)*z*x1-T(6)*x2*x1^2+T(6)*x1^3+T(6)*y1*x2+T(6)*y1*x1+10*T(6)*y2*x1-2*T(6)*z+2*T(6)*x2*x1-7*T(6)*y1-6*T(6)*y2-6*T(6)*x2-7*T(6)*x1+4*T(6)+T(7)*z*y1^2*x2*x1+2*T(7)*z^3+T(7)*y1^3*y2-T(7)*z*y1*y2*x1-T(7)*z^2*y1-2*T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2-T(7)*z^2*y2-2*T(7)*z*y1^2+T(7)*z^2*x2+4*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2+T(7)*z*y1*x1-3*T(7)*y1*x2*x1^2+T(7)*z*y2*x2-2*T(7)*z*y2*x1-3*T(7)*y1^2*x1+3*T(7)*z^2+2*T(7)*z*x2*x1+2*T(7)*z*x1^2+T(7)*z*y1+T(7)*y1*x1^2-T(7)*z*y2+T(7)*y1^2-2*T(7)*y2*x1^2-3*T(7)*z*x2-T(7)*z*x1+T(7)*x2*x1^2+T(7)*x1^3+T(7)*y1*x1-T(7)*y2*x1+3*T(7)*z-3*T(7)*x2*x1-4*T(7)*x1^2+T(7)*y1+2*T(7)*x2+3*T(7)*x1-T(8)*z*y1*x2*x1-T(8)*z*y1*x1^2+T(8)*z*y2*x1^2-T(8)*z*y1*y2+T(8)*z*x2*x1^2+2*T(8)*z*x1^3+2*T(8)*z*y1*x1-T(8)*y1*x2*x1^2-T(8)*y1*x1^3-T(8)*z*y2*x1+T(8)*y2*x1^3+T(8)*z*x2*x1+5*T(8)*z*x1^2-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+2*T(8)*y1*x1^2-T(8)*y2*x1^2-T(8)*z*x1+T(8)*x2*x1^2+5*T(8)*x1^3-T(8)*x1^2-2*T(8)*x1-T(9)*z^3*x1^2-T(9)*z^2*x1^3-2*T(9)*z^2*y1*x1-3*T(9)*z^2*y2*x1-T(9)*z^2*x2*x1+T(9)*z^2*x1^2+T(9)*z*y1*x2*x1-T(9)*z*y1*x1^2-T(9)*z*y1^2-2*T(9)*z*y2*x1^2+T(9)*z^2*x1-T(9)*z*x2*x1^2+T(9)*z*x1^3+4*T(9)*z*y1*x1+T(9)*y1*x2*x1^2+T(9)*y1*x1^3+T(9)*z*y2*x1-T(9)*y1^2*x1+T(9)*y2*x1^3-T(9)*z*x2*x1-2*T(9)*z*x1^2+T(9)*x2*x1^3+4*T(9)*y1*x1^2+4*T(9)*y2*x1^2-4*T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3-T(9)*y2*x1+T(9)*z-4*T(9)*x1^2-T(9)*x1+z^2*y1*x2-z*y1^2*x2+z^2*x2^2+z^2*x2*x1-z*y1*y2*x1-z^2*y1-z*y1*x2^2-z^2*y2+z*y1^2-z*y2*x1^2+y1^2*x2^2-5*z^2*x1-2*z*y1*y2+2*z*x2*x1^2-z*x1^3+3*z*y1*x2+6*z*y1*x1+y1^2*y2+y1*x2^3-y1*x2*x1^2-3*z*y2*x2-z*y2*x1+z^2+z*x2*x1-2*z*x1^2-y1*y2*x1+x2*x1^3+3*z*y1-z*y2-2*y1^2+y2*x2^2-2*z*x1-2*y1*y2+2*x2*x1^2+y1*x1-2*y2*x2+2*y1 norid[99]=T(5)*T(8)+T(1)*z*x2^2-T(1)*z*x1^2+2*T(1)*z*y1-4*T(1)*y1*x2*x1+T(1)*z*x2+T(1)*z*x1-4*T(1)*y1*y2+4*T(1)*x2*x1^2+5*T(1)*x1^3-T(1)*y1*x2+2*T(1)*y1*x1+4*T(1)*y2*x1+3*T(1)*z-T(1)*x2^2+T(1)*x2*x1-3*T(1)*x1^2+7*T(1)*y1-5*T(1)*y2-3*T(1)*x1+7*T(1)+T(2)*z*x2+T(2)*z*x1+T(2)*y2*x2+T(2)*y2*x1+T(2)*x1^2-T(2)*x2+2*T(2)*x1-T(3)*z*x2^2-T(3)*z*x2-9*T(3)*z*x1-2*T(3)*z-4*T(3)*x2*x1+5*T(3)*x1^2-T(3)*x2+2*T(3)*x1-2*T(3)+T(4)*z*x2*x1+8*T(4)*y1*x2*x1+T(4)*z*y2-8*T(4)*y2*x1+T(4)*z+8*T(4)*x1+T(4)-T(5)*z*x2*x1-2*T(5)*z*y1-4*T(5)*y1*x2*x1+5*T(5)*y1*x1+4*T(5)*y2*x1+T(5)*z+4*T(5)*x2*x1+2*T(5)*y1+5*T(5)*y2-T(5)*x2+4*T(5)*x1-4*T(5)+T(6)*z*x2*x1+2*T(6)*z*y1+4*T(6)*y1*x2*x1+2*T(6)*z*y2+4*T(6)*y1^2+T(6)*y1*x2-9*T(6)*y2*x1+T(6)*z-12*T(6)*x2*x1-4*T(6)*x1^2-4*T(6)*y1-4*T(6)*y2-6*T(6)*x2+6*T(6)*x1+7*T(6)-T(7)*z^2+8*T(7)*x2*x1+8*T(7)*x1^2+2*T(7)*x2+T(7)*x1-3*T(7)+3*T(8)*x1+T(9)*z*x2*x1^2+T(9)*z*y2*x1-4*T(9)*z*x1^2-8*T(9)*y2*x1^2+8*T(9)*x1^2+T(9)*x1+z*y1*y2*x2^2+z*y1*x2^3+z^2*y2*x2+z*y1^2*x2+z*y2*x2^3+2*z^2*x2^2+z^2*x2*x1+z*y1*y2*x2+z*x2^4-z^2*y1-z*y1*x2^2-z*y1*x2*x1-2*z*y1^2-z*y2*x2^2+y1^2*x2^2-z^2*x2+4*z*y1*y2-4*z*x2*x1^2-4*z*y1*x2-5*z*y1*x1+y1^2*y2+y1*x2^3-y1*x2*x1^2+6*z*y2*x2+z*y2*x1-y1^2*x2+6*z^2+z*x2^2-z*x2*x1-3*z*x1^2+8*y1*y2*x1-8*x2*x1^3-5*z*y1-y1*x2^2-y1*x2*x1+4*z*y2+7*y1^2+y2*x2^2+2*z*x1+y1*y2-x2*x1^2-8*y1*x1-2*z-y1 norid[100]=T(6)*T(8)+T(1)*z*y1*y2*x2+T(1)*z*y1*y2*x1+T(1)*z*x1^3+T(1)*y1^3+T(1)*y1*y2*x1^2+T(1)*z*y1*x2+3*T(1)*z*y1*x1-2*T(1)*z*x2^2+10*T(1)*z*x1^2-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*x1^4-7*T(1)*z*y1+T(1)*y1*x2*x1+2*T(1)*y1*x1^2+4*T(1)*z*x2-T(1)*z*x1-2*T(1)*y1*y2+T(1)*x2*x1^2+8*T(1)*x1^3-11*T(1)*y1*x1-2*T(1)*z+2*T(1)*x2^2+7*T(1)*x2*x1-15*T(1)*x1^2+11*T(1)*y1+4*T(1)*y2-4*T(1)*x2+4*T(1)*x1-T(1)-T(2)*z*x1^2+T(2)*z*x1-T(2)*x1^3+2*T(2)*y2*x1+T(2)*z-T(2)*x2*x1+T(2)*x1^2+T(2)*y2-T(2)*x1-T(2)-T(3)*z^2-T(3)*z*x1^2-T(3)*z*x2+2*T(3)*z*x1-T(3)*x1^3+8*T(3)*z-2*T(3)*x2*x1+3*T(3)*x1^2+2*T(3)*x2-5*T(3)*x1-T(3)-T(4)*z*y1^3-T(4)*z*y1^2*y2-T(4)*y1^3*x1+2*T(4)*z*y1*x2*x1+T(4)*z*y1*x1^2-T(4)*y1^2*y2*x1+3*T(4)*z*y1^2+T(4)*z*y2*x1^2+4*T(4)*z*y1*y2+T(4)*y1^3+3*T(4)*z*y1*x2+T(4)*z*y1*x1+T(4)*y1^2*y2+2*T(4)*y1*x2*x1^2+T(4)*y1*x1^3+3*T(4)*y1^2*x1+T(4)*y2*x1^3+4*T(4)*y1*y2*x1-5*T(4)*z*y1+T(4)*y1*x2*x1-T(4)*z*y2-3*T(4)*y1^2-T(4)*y2*x1^2+2*T(4)*z*x2+4*T(4)*z*x1-4*T(4)*y1*y2-T(4)*x2*x1^2-3*T(4)*y1*x2-6*T(4)*y1*x1-2*T(4)*y2*x1+2*T(4)*z+5*T(4)*x2*x1+4*T(4)*x1^2+4*T(4)*y1+4*T(4)*y2-2*T(4)*x2-2*T(4)*x1+2*T(5)*z*y1^2-2*T(5)*z*y1*y2-2*T(5)*z*y1*x2-2*T(5)*z*y1*x1+2*T(5)*z*y2*x1+2*T(5)*y1^2*x1+T(5)*z*x2*x1-T(5)*z*x1^2-2*T(5)*y1*y2*x1+7*T(5)*z*y1-2*T(5)*y1*x2*x1-2*T(5)*y1*x1^2-2*T(5)*z*y2-2*T(5)*y1^2+2*T(5)*y2*x1^2+T(5)*z*x1+2*T(5)*y1*y2+2*T(5)*x2*x1^2-T(5)*x1^3+2*T(5)*y1*x2+10*T(5)*y1*x1-4*T(5)*y2*x1-8*T(5)*x2*x1+2*T(5)*x1^2-13*T(5)*y1-4*T(5)*y2+T(5)*x2-T(5)*x1+6*T(5)+3*T(6)*z*y1^2*y2-3*T(6)*z*y1*x2*x1^2-2*T(6)*z*y1^2*x2-T(6)*z*y1*x2^2+3*T(6)*y1^2*y2*x1-3*T(6)*y1*x2*x1^3-5*T(6)*z*y1^2-2*T(6)*y1^2*x2*x1+7*T(6)*z*y1*x2+6*T(6)*z*y1*x1-4*T(6)*y1^2*y2+4*T(6)*y1*x2*x1^2+4*T(6)*z*y2*x2+2*T(6)*z*y2*x1+2*T(6)*y1^2*x2-5*T(6)*y1^2*x1+2*T(6)*z*x2*x1-T(6)*z*x1^2+T(6)*z*y1+T(6)*y1*x2^2+7*T(6)*y1*x2*x1+6*T(6)*y1*x1^2-7*T(6)*z*y2+10*T(6)*y1^2+2*T(6)*y2*x1^2+2*T(6)*z*x1+T(6)*x2*x1^2-T(6)*x1^3-8*T(6)*y1*x2-7*T(6)*y1*x1-4*T(6)*y2*x2-10*T(6)*y2*x1+2*T(6)*z+T(6)*x2*x1+2*T(6)*x1^2+9*T(6)*y1+15*T(6)*y2+7*T(6)*x2+4*T(6)*x1-7*T(6)-T(7)*z*y1^2*x2*x1-2*T(7)*z^3-T(7)*y1^3*y2+T(7)*z*y1*y2*x1+T(7)*z^2*y1+2*T(7)*z*y1*x2*x1-T(7)*y1^2*y2*x2+T(7)*z^2*y2+2*T(7)*z*y1^2+T(7)*y1^2*x2*x1-T(7)*z^2*x2-4*T(7)*z^2*x1+T(7)*y1^3+T(7)*y1*y2*x1^2-T(7)*z*y1*x1+3*T(7)*y1*x2*x1^2-T(7)*z*y2*x2+2*T(7)*z*y2*x1+3*T(7)*y1^2*x1-2*T(7)*z*x2*x1-2*T(7)*z*x1^2-T(7)*y1*y2*x1-2*T(7)*z*y1-3*T(7)*y1*x2*x1-T(7)*y1*x1^2-4*T(7)*y1^2+2*T(7)*y2*x1^2+3*T(7)*z*x2+T(7)*z*x1-T(7)*x2*x1^2-T(7)*x1^3+T(7)*y2*x2-T(7)*y2*x1-T(7)*z+2*T(7)*x2*x1+3*T(7)*x1^2+T(7)*y1-4*T(7)*x2-6*T(7)*x1+2*T(7)+T(8)*z*y1*x2*x1+T(8)*z*y1*x1^2-T(8)*z*y2*x1^2+T(8)*z*y1*y2-T(8)*z*x2*x1^2-2*T(8)*z*x1^3-2*T(8)*z*y1*x1+T(8)*y1*x2*x1^2+T(8)*y1*x1^3+T(8)*z*y2*x1-T(8)*y2*x1^3-T(8)*z*x2*x1-5*T(8)*z*x1^2+T(8)*y1*y2*x1-T(8)*x2*x1^3-2*T(8)*x1^4-T(8)*y1*x2*x1-3*T(8)*y1*x1^2+2*T(8)*y2*x1^2+T(8)*z*x1-T(8)*y1*y2-3*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+5*T(8)*x1^2+T(9)*z^3*x1^2+T(9)*z^2*x1^3+2*T(9)*z^2*y1*x1+3*T(9)*z^2*y2*x1+T(9)*z^2*x2*x1-2*T(9)*z^2*x1^2-T(9)*z*y1*x2*x1+T(9)*z*y1*x1^2+T(9)*z*y1^2+2*T(9)*z*y2*x1^2-T(9)*z^2*x1+T(9)*z*x2*x1^2-T(9)*z*x1^3-6*T(9)*z*y1*x1-T(9)*y1*x2*x1^2-T(9)*y1*x1^3-4*T(9)*z*y2*x1+T(9)*y1^2*x1-T(9)*y2*x1^3+4*T(9)*z*x1^2-T(9)*x2*x1^3+T(9)*y1*x2*x1-3*T(9)*y1*x1^2-T(9)*y1^2-T(9)*y2*x1^2+5*T(9)*z*x1+4*T(9)*x2*x1^2+4*T(9)*x1^3+4*T(9)*y1*x1+4*T(9)*y2*x1-T(9)*x2*x1-2*T(9)*x1^2-z*y1^2*x2^3-z^2*y1*x2^2-z*y1^2*y2*x2-z*y1*x2^4+z*y1^2*y2*x1-z*y1*x2*x1^3-z^2*y2*x2^2-z^2*y1*x2+z*y1^2*x2-z*y2*x2^3-z*y1^2*x1-2*z*y1*y2*x2+2*z*y1*y2*x1-z*x2*x1^3-2*z^2*y1-z*y1*x2*x1-z^2*y2-z*y1^2-2*z*y2*x2^2+z*y2*x1^2-y1^2*x2^2-5*z^2*x2+5*z^2*x1+z*y1*y2-3*z*x2*x1^2+z*x1^3-4*z*y1*x1-y1^2*y2-y1*x2^3+y1*x2*x1^2+z*y2*x2-z*y2*x1-2*y1^2*x2-3*z^2+z*x2*x1+2*z*x1^2-y1*y2*x1+x2*x1^3-4*z*y1-2*y1*x2^2-2*y1*x2*x1-z*y2-y2*x2^2-2*z*x1+4*y1*y2-4*x2*x1^2+y1*x1+2*y2*x2+4*z-4*y1 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norid[102]=T(8)^2+1/2*T(1)*z*x1^3-T(1)*y1^3-T(1)*y1*y2*x1^2-1/2*T(1)*z*y1*x2+1/2*T(1)*z*y1*x1-1/2*T(1)*y1*x2*x1^2-1/2*T(1)*z*x2^2+5/2*T(1)*z*x1^2-2*T(1)*y1*y2*x2-5/2*T(1)*y1*y2*x1+1/2*T(1)*x2*x1^3-1/2*T(1)*x1^4-13/4*T(1)*y1*x2*x1-19/4*T(1)*y1*x1^2-5/2*T(1)*z*y2+1/2*T(1)*y2*x1^2+7/2*T(1)*z*x2-2*T(1)*z*x1-1/4*T(1)*y1*y2+1/4*T(1)*x2*x1^2+125/4*T(1)*x1^3-6*T(1)*y1*x2+223/4*T(1)*y1*x1+3/4*T(1)*y2*x1-T(1)*z-281/4*T(1)*x2^2-13/4*T(1)*x2*x1-217/4*T(1)*x1^2+223/4*T(1)*y1-293/4*T(1)*y2+399/4*T(1)*x2-403/4*T(1)*x1+38*T(1)-T(2)*x2^4+1/2*T(2)*x1^4+T(2)*y1*x2*x1-T(2)*y1*x1^2+T(2)*z*x2-T(2)*z*x1-T(2)*y1*y2-3*T(2)*x1^3+2*T(2)*y2*x2+T(2)*y2*x1+T(2)*z+T(2)*x2^2-T(2)*x2*x1-6*T(2)*x1^2+T(2)*y1+T(2)*y2-2*T(2)*x2+153/4*T(2)*x1-T(2)-T(3)*z*y1*x2+T(3)*z*y1*x1+T(3)*z*x2^2+1/2*T(3)*z*x1^2-T(3)*z*y2-1/2*T(3)*z*x2+1/2*T(3)*z*x1-1/2*T(3)*x2*x1^2+3/2*T(3)*x1^3-T(3)*y1*x2+T(3)*y1*x1-145/2*T(3)*z-1/4*T(3)*x2*x1+23/2*T(3)*x1^2-T(3)*y2-277/4*T(3)*x2+207/4*T(3)*x1+30*T(3)-T(4)*y1^3*x2*x1-11/2*T(4)*y1^3*x2+T(4)*y1^2*y2*x1-T(4)*y1*x2*x1^3-3*T(4)*y1^2*x2*x1-5*T(4)*y1^2*x1^2+27/2*T(4)*y1^3-4*T(4)*y1*y2*x1^2+25/2*T(4)*y1^2*y2-7*T(4)*y1*x2*x1^2-2*T(4)*y1*x1^3+17/2*T(4)*y1^2*x2+T(4)*y1^2*x1-2*T(4)*y2*x1^3-1/2*T(4)*z*x2*x1+2*T(4)*y1*y2*x2-14*T(4)*y1*y2*x1-T(4)*x2*x1^3-T(4)*y1*x2^2-117/4*T(4)*y1*x2*x1-21*T(4)*y1*x1^2-1/2*T(4)*z*y2-9/2*T(4)*y1^2-13*T(4)*y2*x1^2+T(4)*z*x2-T(4)*z*x1+T(4)*y1*y2+T(4)*x2^3-1/4*T(4)*x2*x1^2+21*T(4)*y1*x2+67/2*T(4)*y1*x1-T(4)*y2*x2+33*T(4)*y2*x1-T(4)*z+163/4*T(4)*x2*x1-4*T(4)*x1^2+65/4*T(4)*y1-117/4*T(4)*y2-10*T(4)*x2+30*T(4)-T(5)*y1^3*x2-T(5)*y1^3*x1+2*T(5)*y1^2*y2*x1+2*T(5)*y1^2*x2*x1+2*T(5)*y1^2*x1^2+6*T(5)*y1^3+2*T(5)*y1*y2*x1^2+1/2*T(5)*z*y1*x1+6*T(5)*y1^2*y2-1/2*T(5)*y1*x2*x1^2+T(5)*y1*x1^3+1/2*T(5)*y1^2*x2+10*T(5)*y1^2*x1+5/2*T(5)*z*x2*x1+37/2*T(5)*y1*y2*x1+T(5)*x2*x1^3+2*T(5)*z*y1+12*T(5)*y1*x1^2+5/2*T(5)*z*y2-75/4*T(5)*y1^2-7/2*T(5)*y2*x1^2-1/2*T(5)*z*x2+127/4*T(5)*y1*y2+5/4*T(5)*x2*x1^2+T(5)*x1^3-40*T(5)*y1*x2+75/4*T(5)*y1*x1-29/4*T(5)*y2*x1-3/2*T(5)*z+T(5)*x2^2-77/4*T(5)*x2*x1+177/4*T(5)*x1^2-41/4*T(5)*y1+323/4*T(5)*y2-T(5)*x2+39*T(5)*x1-313/4*T(5)-T(6)*y1^3*x2*x1-3*T(6)*y1^2*y2*x1^2+3*T(6)*y1*x2*x1^4-T(6)*z^3+11/2*T(6)*y1^3*x2-2*T(6)*y1^3*x1+T(6)*z*y1*x2*x1+T(6)*y1^2*y2*x2+T(6)*y1^2*y2*x1-T(6)*y1*x2*x1^3+T(6)*z*y1^2-T(6)*y1^2*x2^2+4*T(6)*y1^2*x2*x1-T(6)*y1^2*x1^2-T(6)*y1^3-4*T(6)*y1*y2*x1^2+1/2*T(6)*z*y1*x2+T(6)*z*y1*x1-15*T(6)*y1^2*y2+2*T(6)*y1*x2*x1^2-3*T(6)*y1*x1^3+1/2*T(6)*z*y2*x1+69/4*T(6)*y1^2*x2-31/2*T(6)*y1^2*x1-T(6)*y2*x1^3-1/2*T(6)*z*x2*x1-57/4*T(6)*y1*y2*x2-47/2*T(6)*y1*y2*x1-4*T(6)*x2*x1^3-3*T(6)*z*y1-105/2*T(6)*y1*x2^2-45/2*T(6)*y1*x2*x1-29*T(6)*y1*x1^2-3*T(6)*z*y2+37*T(6)*y1^2-25/2*T(6)*y2*x1^2-3*T(6)*z*x2-3/2*T(6)*z*x1-8*T(6)*y1*y2-11/4*T(6)*x2*x1^2+1/2*T(6)*x1^3+93/2*T(6)*y1*x2+9/2*T(6)*y1*x1+93*T(6)*y2*x2-19/4*T(6)*y2*x1+3*T(6)*z-23/4*T(6)*x2*x1+23/2*T(6)*x1^2+65/2*T(6)*y1-279/4*T(6)*y2-745/4*T(6)*x2-107/2*T(6)*x1+116*T(6)+T(7)*z*y1^2*x2*x1+T(7)*y1^3*x2*x1+T(7)*z^2*y2*x1-2*T(7)*z*y1^2*x2-T(7)*z^3+T(7)*y1^3*y2+3*T(7)*z^2*x1^2-T(7)*z*y1*y2*x1+9/2*T(7)*y1^3*x2-T(7)*y1^3*x1+2*T(7)*z*y1*x2*x1+T(7)*z*y1*x1^2+11/2*T(7)*y1^2*y2*x2-2*T(7)*y1^2*y2*x1-3*T(7)*y1*x2*x1^3-11/2*T(7)*z^2*y2+T(7)*z*y1^2+T(7)*z*y2*x1^2+3*T(7)*y1^2*x2^2+23/2*T(7)*y1^2*x2*x1-3*T(7)*y1^2*x1^2+T(7)*z^2*x2+T(7)*z*y1*y2+9/2*T(7)*y1^3-T(7)*y1*y2*x1^2+11/2*T(7)*z*y1*x2+13/2*T(7)*z*y1*x1-T(7)*y1*x1^3+T(7)*z*y2*x2+11/2*T(7)*z*y2*x1-7/2*T(7)*y1^2*x1-3*T(7)*y2*x1^3+11/2*T(7)*z^2-11/2*T(7)*z*x2^2+2*T(7)*z*x2*x1+23/2*T(7)*z*x1^2-3*T(7)*y1*y2*x2-23/2*T(7)*y1*y2*x1+T(7)*x2*x1^3+T(7)*x1^4-15*T(7)*z*y1+T(7)*y1*x2^2-1/2*T(7)*y1*x2*x1+9/2*T(7)*y1*x1^2-19/2*T(7)*z*y2+11/2*T(7)*y1^2+4*T(7)*y2*x1^2+11/2*T(7)*z*x2+27/4*T(7)*z*x1-23/2*T(7)*y1*y2-T(7)*x2^3+T(7)*x2*x1^2+1/2*T(7)*x1^3-3*T(7)*y1*x2+17/2*T(7)*y1*x1+21/2*T(7)*y2*x2+5*T(7)*y2*x1+31/4*T(7)*z+5/2*T(7)*x2^2-22*T(7)*x2*x1-43/2*T(7)*x1^2-83/4*T(7)*y1-1/4*T(7)*y2+133/2*T(7)*x2+145/2*T(7)*x1-9/4*T(7)-T(8)*y1^2*y2-4*T(8)*y1*x2*x1^2-4*T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x2+2*T(8)*x1^4-7/2*T(8)*y1*x2*x1-3/2*T(8)*y1*x1^2+9/2*T(8)*y1^2+175/4*T(8)*y2*x1^2-1/2*T(8)*z*x1-9*T(8)*y1*y2+17/2*T(8)*x2*x1^2-93/4*T(8)*x1^3-3/2*T(8)*y1*x2-123/4*T(8)*y1*x1+149/4*T(8)*y2*x1+17/4*T(8)*x2*x1+181/4*T(8)*x1^2-1/2*T(8)*y1-3/2*T(8)*y2+135/4*T(8)*x1-T(9)*z^3*x1^2-T(9)*z^2*y1*x1^2+2*T(9)*z^3*x1-T(9)*z^2*x1^3-9/2*T(9)*z^2*y1*x1-9/2*T(9)*z^2*y2*x1-3*T(9)*z^2*x2*x1-23/2*T(9)*z^2*x1^2+13/2*T(9)*z*y1*x2*x1-7/2*T(9)*z*y1*x1^2-T(9)*z*y1^2-3*T(9)*z*y2*x1^2-6*T(9)*z^2*x1-T(9)*z*x2*x1^2+1/2*T(9)*z*x1^3-T(9)*x2*x1^4-119/4*T(9)*z*y1*x1-T(9)*y1^2*y2+5/2*T(9)*y1*x2*x1^2+T(9)*y1*x1^3+99/4*T(9)*z*y2*x1+11/2*T(9)*y1^2*x2-2*T(9)*y1^2*x1-T(9)*y2*x1^3+T(9)*z^2+57*T(9)*z*x2*x1+15*T(9)*z*x1^2-5/4*T(9)*x2*x1^3+T(9)*y1*x2*x1+33/2*T(9)*y1*x1^2-15/2*T(9)*y1^2+23*T(9)*y2*x1^2-70*T(9)*z*x1+11/2*T(9)*y1*y2+11/4*T(9)*x2*x1^2-4*T(9)*x1^3-T(9)*y1*x2+19/2*T(9)*y1*x1-113/4*T(9)*y2*x1+T(9)*z+T(9)*x2^2-8*T(9)*x2*x1-T(9)*y2+30*T(9)*x1+2*z*y1*x2^3-z*y1^2*x2-2*y1^2*x2^3+2*z^2*x2^2+z^2*x2*x1+2*z*y1*y2*x2+2*z*x2^4-2*z*y1*y2*x1+2*z*x2*x1^3+y1^3*x2-y1^3*x1-2*z^2*y1-3*z*y1*x2^2-z*y1*x2*x1-2*y1^2*y2*x2-2*y1*x2^4+3*y1^2*y2*x1-3*y1*x2*x1^3-4*z*y2*x2^2+2*y1^2*x2^2-y1^2*x1^2+z^2*x2-9/2*z^2*x1-5/2*z*x2*x1^2+z*x1^3+y1*y2*x2^2-4*y1*y2*x1^2+4*x2*x1^4-9/2*z*y1*x2+5/2*z*y1*x1-1/4*y1^2*y2+y1*x2^3+5/4*y1*x2*x1^2-z*y2*x2-4*z*y2*x1+9/2*y1^2*x2-y2*x2^3-8*y1^2*x1-3*z^2+5/2*z*x2^2+17/4*z*x2*x1-53/4*z*x1^2-3/4*y1*y2*x2-23/4*y1*y2*x1+23/4*x2*x1^3-21/4*z*y1+3/2*y1*x2^2+7/2*y1*x2*x1+4*y1*x1^2+33/4*z*y2-6*y1^2+1/2*y2*x2^2-19/4*z*x2-195/2*z*x1-41/4*y1*y2+41/4*x2*x1^2+1/2*y1*x2+23/4*y1*x1-31/4*y2*x2-45*z+41/4*y1 norid[103]=T(1)*T(9)+T(1)*z*y1+T(1)*z*x2+T(1)*z*x1-2*T(1)*x1^3+4*T(1)*y1*x1-T(1)*y2*x2-T(1)*z+2*T(1)*x1^2+T(1)*y1-4*T(1)*x2+7*T(1)*x1+5*T(1)-T(2)*y1^2-T(2)*z*x2+T(2)*y1*x1+T(2)*y2*x1+2*T(2)*z+2*T(2)*x2*x1+3*T(2)*x1^2-2*T(2)*x1+T(3)*z*y2*x2-T(3)*z*y1-T(3)*z*x1+T(3)*y2*x2+T(3)*z-2*T(3)*x1^2-T(3)*y1-T(3)*x2-T(3)*x1-5*T(3)+T(4)*y2*x2^2+2*T(4)*x2*x1^2-T(4)*y1*x2+2*T(4)*y2*x1+T(4)*z-T(4)*x2*x1+2*T(4)*x1-T(4)-2*T(5)*x2*x1^2-4*T(5)*y1*x1+T(5)*y2*x2-T(5)*y1+T(5)*x1+2*T(6)*x2*x1^2+4*T(6)*y1*x1+4*T(6)*y2*x1+T(6)*z+2*T(6)*x1-T(7)*y1^2-T(7)*y2*x2^2-2*T(7)*z*x1+T(7)*y1*x2+T(7)*y1*x1+T(7)*y2*x2-T(7)*z+T(7)*x2*x1+T(7)*x1^2-T(7)*y1-T(7)*x1+2*T(9)*x2*x1^3+2*T(9)*y2*x1^2+T(9)*y2*x2+2*T(9)*x1^2-T(9)*y1-T(9)*x1+z^2*y2*x2-3*z^2*x2*x1+z^2*y1-y1^2*y2*x2-3*z^2*y2-y1^2*x2*x1-y1*y2*x2^2-y1^2*y2+2*y1^2*x2+y1^2*x1+2*z^2-z*x2*x1-2*z*x1^2+12*y1*y2*x1-12*x2*x1^3-z*y1-y1*x2*x1+4*z*y2+12*y1^2+12*z*x1-12*y1*x1+z norid[104]=T(2)*T(9)+T(1)*y1*x2*x1+T(1)*y1*y2-T(1)*x2*x1^2-T(1)*x1^3-T(1)*y2*x1+2*T(1)*x1^2-T(1)*y1+T(1)*x2-T(1)-T(2)*y2*x2^2+T(2)*x2^2+T(2)*x2*x1+T(2)*y2+T(2)*x1-T(2)+2*T(3)*z*x1+T(3)*x2*x1-T(3)*x1^2+T(3)*x1+T(3)-2*T(4)*y1*x2*x1+2*T(4)*y2*x1-2*T(4)*x1+T(5)*y1*x2*x1-T(5)*y1*x1-T(5)*y2*x1-T(5)*x1-T(6)*y1*x2*x1-T(6)*y1^2+2*T(6)*y2*x1+3*T(6)*x2*x1+T(6)*x1^2-2*T(6)*x1-2*T(7)*x2*x1-2*T(7)*x1^2-T(8)*x1+T(9)*z*x1^2+2*T(9)*y2*x1^2-2*T(9)*x1^2-z*y1*x2^4-z^2*x2^3+z*y1^3-z*y1*y2*x2^2-z*x2^5-z*y1*y2*x1^2+z*x2*x1^4+z*y2*x2^3-z^2*x2^2+2*z*y1*x2^2-z*y1*x2*x1+z*y1*x1^2+z*y1^2-z*x2^3-z*x2*x1^2+z*y1*x2+2*z*y1*x1-z*y2*x1+z*x1^2-2*y1*y2*x1+2*x2*x1^3-2*z*y2-2*y1^2-2*z*x1+2*y1*x1+z norid[105]=T(3)*T(9)-T(1)*y1*y2*x2-T(1)*y1*y2*x1+T(1)*z*y1+T(1)*y2*x2^2+T(1)*z*x2+T(1)*z*x1-4*T(1)*x1^3-2*T(1)*y1*x2+3*T(1)*y1*x1-T(1)*y2*x2-T(1)*z-5*T(1)*x1^2+6*T(1)*y1-T(1)*y2-7*T(1)*x2+13*T(1)*x1+4*T(1)+T(2)*y1^2*x2-T(2)*y1*x2*x1-T(2)*z*y2-2*T(2)*y1^2-3*T(2)*z*x2-2*T(2)*z*x1+T(2)*y1*x1+T(2)*y2*x1+3*T(2)*z+4*T(2)*x2*x1+6*T(2)*x1^2+T(2)*y2-4*T(2)*x1-T(2)-T(3)*z*y2*x2^2+T(3)*z*y1*x2+T(3)*z*y2*x2-T(3)*z*y1-T(3)*y2*x2^2-2*T(3)*z*x1+T(3)*y1*x2+T(3)*y2*x2+2*T(3)*z+T(3)*x2^2-2*T(3)*x1^2-T(3)*y1-3*T(3)*x1-8*T(3)+T(4)*y1^3+T(4)*y1^2*y2-T(4)*y2*x2^3+T(4)*y1*x2^2-2*T(4)*y1*x2*x1-T(4)*y1*x1^2-3*T(4)*y1^2+T(4)*y2*x2^2-T(4)*y2*x1^2-4*T(4)*y1*y2+3*T(4)*x2*x1^2-4*T(4)*y1*x2-T(4)*y1*x1+3*T(4)*y2*x1+3*T(4)*z-3*T(4)*x2*x1+4*T(4)*y1+T(4)*y2-2*T(4)*x2-T(4)*x1-5*T(4)-2*T(5)*y1^2-T(5)*y2*x2^2+2*T(5)*y1*y2-3*T(5)*x2*x1^2+3*T(5)*y1*x2-4*T(5)*y1*x1+T(5)*y2*x2-2*T(5)*y2*x1-T(5)*x2*x1+T(5)*x1^2-6*T(5)*y1+T(5)*y2-T(5)-3*T(6)*y1^2*y2+3*T(6)*y1*x2*x1^2+2*T(6)*y1^2*x2+T(6)*y1*x2^2+5*T(6)*y1^2+3*T(6)*x2*x1^2-7*T(6)*y1*x2-4*T(6)*y2*x2+4*T(6)*y2*x1+T(6)*z-2*T(6)*x2*x1+T(6)*x1^2-T(6)*y1+5*T(6)*y2+T(6)*x2+T(6)*x1-2*T(6)+T(7)*y1^2*x2*x1+T(7)*y1^2*x2+T(7)*y2*x2^3+3*T(7)*z^2-T(7)*y1*y2*x1-T(7)*z*y1-T(7)*y1*x2^2-4*T(7)*y1*x2*x1-T(7)*z*y2-4*T(7)*y1^2-2*T(7)*y2*x2^2+T(7)*z*x2-2*T(7)*z*x1+2*T(7)*y1*x2+2*T(7)*y1*x1+2*T(7)*y2*x2-2*T(7)*y2*x1+2*T(7)*z+3*T(7)*x2*x1+3*T(7)*x1^2-2*T(7)*x2-4*T(7)*x1-T(8)*y1*x2*x1-T(8)*y1*x1^2+T(8)*y2*x1^2-T(8)*y1*y2+T(8)*x2*x1^2+2*T(8)*x1^3+T(8)*y1*x1-T(8)*y2*x1+4*T(8)*x1^2-T(8)*x1-T(9)*z^2*x1^2-2*T(9)*z*y1*x1-3*T(9)*z*y2*x1-T(9)*z*x2*x1+T(9)*z*x1^2+3*T(9)*x2*x1^3+T(9)*y1*x2*x1+T(9)*y1*x1^2-T(9)*y1^2-T(9)*y2*x2^2+4*T(9)*y2*x1^2+T(9)*z*x1+T(9)*y1*x2+4*T(9)*y1*x1+T(9)*y2*x2+T(9)*y2*x1-T(9)*x2*x1-T(9)*x1^2-T(9)*y1-5*T(9)*x1-z^2*y2*x2^2+z^2*y1*x2+y1^2*y2*x2^2+z^2*y2*x2+z^3+2*z^2*x2^2-3*z^2*x2*x1+y1*y2*x2^3+2*z^2*y1-z*y1*x2*x1-y1^2*y2*x2-y1^2*y2*x1+y1*x2*x1^3-4*z^2*y2-z*y1^2-2*y1^2*x2^2-2*y1^2*x2*x1+z^2*x2+z^2*x1+z*y1*y2-y1^3-y1*y2*x2^2+z*y1*x2+z*y1*x1+y1^2*y2-2*y1*x2*x1^2+z*y2*x2-z*y2*x1+2*y1^2*x2+2*y1^2*x1+3*z^2-4*z*x1^2+2*y1*y2*x2+16*y1*y2*x1-16*x2*x1^3-z*y1-y1*x2*x1+6*z*y2+15*y1^2+y2*x2^2+15*z*x1-5*y1*y2+5*x2*x1^2-y1*x2-16*y1*x1-5*y2*x2-3*z+5*y1 norid[106]=T(4)*T(9)+T(1)*z*x2^2-T(1)*y1^2+T(1)*z*x2-T(1)*y1*x2+T(1)*x2*x1+T(1)*x1^2-T(1)*x2-2*T(1)*x1+T(1)+T(2)*y2*x2+T(2)*x1^2-T(2)*x2-2*T(2)*x1-T(3)*z*x2^2-T(3)*z*x2-T(3)*y1+T(3)*x1-T(3)+T(4)*x1-T(4)-T(6)*y1+T(6)*x1-T(6)+T(7)*y1-T(7)*x1+T(7)+z*y1*y2*x2^2+z*y1*x2^3+z*y1^2*x2+z*y2*x2^3+2*z^2*x2^2+z*y1*y2*x2+z*x2^4-z*y1*x2^2+z*y1*x2*x1+z*y1^2-z*y2*x2^2+2*z^2*x2+2*z^2*x1-2*z*y1*x2+z*y1*x1-z*y2*x2-z*y2*x1-z^2+z*x2^2+z*x2*x1-z*x1^2+z*y1+z*y2+z*x1 norid[107]=T(5)*T(9)+T(1)*y1*x2^2-2*T(1)*x1^3+4*T(1)*y1*x1-T(1)*y2*x2+2*T(1)*x1^2+T(1)*y1-7*T(1)*x2+7*T(1)*x1+4*T(1)+T(2)*y1^2*y2-T(2)*y1*x2*x1^2-2*T(2)*z*y2-2*T(2)*y1^2-T(2)*z*x2-2*T(2)*z*x1-T(2)*y1*y2-T(2)*x2^3+T(2)*x2*x1^2+T(2)*y1*x1+T(2)*y2*x1+5*T(2)*z+2*T(2)*x2*x1+3*T(2)*x1^2+T(2)*y1-2*T(2)*x1-T(3)*z*y1*x2^2+T(3)*z*y2*x2+T(3)*z^2-T(3)*z*y1-T(3)*y1*x2^2-T(3)*z*x1+T(3)*y2*x2-2*T(3)*x1^2-T(3)*y1-T(3)*x1-4*T(3)-T(4)*y1*x2^3+T(4)*y2*x2^2+T(4)*z*x2+2*T(4)*x2*x1^2-T(4)*y1*x2+2*T(4)*y2*x1+T(4)*z-T(4)*x2*x1+2*T(4)*x1-T(4)-T(5)*y1*x2^2-2*T(5)*x2*x1^2-4*T(5)*y1*x1+T(5)*y2*x2+T(5)*z-T(5)*y1+T(5)*x1+2*T(6)*x2*x1^2+4*T(6)*y1*x1+4*T(6)*y2*x1+2*T(6)*x1+T(7)*y1^2*y2+T(7)*y1*x2^3-T(7)*y1*x2*x1^2-T(7)*y1*x2^2-2*T(7)*y1^2-T(7)*y2*x2^2-T(7)*z*x2-3*T(7)*z*x1+T(7)*y1*x2+T(7)*y1*x1+T(7)*y2*x2+T(7)*z+T(7)*x2*x1+T(7)*x1^2-T(7)*y1-T(7)*x1+2*T(9)*x2*x1^3-T(9)*y1*x2^2+2*T(9)*y2*x1^2+T(9)*y2*x2+T(9)*z+2*T(9)*x1^2-T(9)*y1-T(9)*x1+y1^3*x2^2+y1^4-y1^2*y2*x1^2+y1*x2*x1^4+z^2*y2*x2-z*y1^2*x2-2*z^2*x2*x1+y1^3*x2-2*z*y1*x2^2-2*z*y1*x2*x1-5*y1^2*y2*x2-y1*x2^4+3*y1^2*y2*x1-3*y1*x2*x1^3-3*z^2*y2-z*y2*x2^2-2*y1^2*x2*x1+y1^2*x1^2+z^2*x1+z*y1*y2+z*x2*x1^2-2*y1*y2*x2^2-2*z*y1*x2-y1^2*y2-z*y2*x2-z*y2*x1+5*y1^2*x2-y2*x2^3-2*y1^2*x1+3*z^2-3*z*x2*x1-2*z*x1^2-3*y1*y2*x2+14*y1*y2*x1-14*x2*x1^3-3*z*y1-y1*x2*x1+4*z*y2+11*y1^2-3*y2*x2^2-3*z*x2+12*z*x1+3*y1*x2-14*y1*x1 norid[108]=T(6)*T(9)-T(1)*y1^3-T(1)*y1*y2*x1^2+T(1)*y1*y2*x2+T(1)*y1*y2*x1-T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y1*x1^2+T(1)*y1*y2-T(1)*x2*x1^2-8*T(1)*x1^3-T(1)*y1*x2+13*T(1)*y1*x1+T(1)*y2*x1-2*T(1)*x2^2-5*T(1)*x2*x1+14*T(1)*x1^2-8*T(1)*y1-4*T(1)*y2+T(1)*x2-6*T(1)*x1+4*T(1)-T(2)*z*y2*x2-T(2)*y1*x2*x1-T(2)*z*y2-T(2)*y2*x2^2-T(2)*z*x1-T(2)*y1*y2+T(2)*x2*x1^2+T(2)*x1^3-T(2)*y1*x1-T(2)*y2*x2+T(2)*x2^2+T(2)*x2*x1+T(2)*y1-T(2)*y2+T(2)*x2+T(2)*x1+T(2)+T(3)*z*y1*x2+T(3)*z^2+T(3)*z*y1-2*T(3)*z*x1+T(3)*x1^3+T(3)*y1*x2-3*T(3)*z+T(3)*x2*x1-3*T(3)*x1^2+T(3)*y1-T(3)*x2+5*T(3)*x1+T(3)+T(4)*y1^3*x1+T(4)*y1^2*y2*x1-T(4)*y1^3-T(4)*y1^2*y2-2*T(4)*y1*x2*x1^2-T(4)*y1*x1^3-3*T(4)*y1^2*x1-T(4)*y2*x1^3-4*T(4)*y1*y2*x1+T(4)*y1*x2^2+T(4)*y1*x2*x1+3*T(4)*y1^2+T(4)*y2*x1^2+T(4)*z*x2+4*T(4)*y1*y2+T(4)*x2*x1^2+4*T(4)*y1*x2+6*T(4)*y1*x1+2*T(4)*z-3*T(4)*x2*x1-4*T(4)*x1^2-4*T(4)*y1-2*T(4)*y2+2*T(4)*x2+4*T(4)*x1+2*T(4)-2*T(5)*y1^2*x1+2*T(5)*y1*y2*x1+T(5)*y1*x2*x1+2*T(5)*y1*x1^2+2*T(5)*y1^2-2*T(5)*y2*x1^2-2*T(5)*y1*y2-2*T(5)*x2*x1^2+T(5)*x1^3-T(5)*y1*x2-9*T(5)*y1*x1+5*T(5)*y2*x1+T(5)*z+6*T(5)*x2*x1-2*T(5)*x1^2+10*T(5)*y1+4*T(5)*y2-T(5)*x2+2*T(5)*x1-4*T(5)-3*T(6)*y1^2*y2*x1+3*T(6)*y1*x2*x1^3+2*T(6)*y1^2*x2*x1+4*T(6)*y1^2*y2-4*T(6)*y1*x2*x1^2-2*T(6)*y1^2*x2+5*T(6)*y1^2*x1-T(6)*y1*x2^2-6*T(6)*y1*x2*x1-6*T(6)*y1*x1^2-9*T(6)*y1^2-2*T(6)*y2*x1^2-T(6)*x2*x1^2+T(6)*x1^3+8*T(6)*y1*x2+7*T(6)*y1*x1+4*T(6)*y2*x2+8*T(6)*y2*x1-2*T(6)*x2*x1-4*T(6)*x1^2-5*T(6)*y1-11*T(6)*y2-7*T(6)*x2+5*T(6)-T(7)*z^3+T(7)*y1^3*y2+T(7)*z*y1*x2*x1+T(7)*y1^2*y2*x2+T(7)*z*y1^2-T(7)*y1^2*x2*x1+3*T(7)*z^2*x1-T(7)*y1^3-T(7)*y1*y2*x1^2-3*T(7)*y1*x2*x1^2-3*T(7)*y1^2*x1-3*T(7)*z^2+T(7)*z*x2*x1+T(7)*z*x1^2+T(7)*y1*y2*x1+T(7)*z*y1-T(7)*y1*x2^2+2*T(7)*y1*x2*x1+T(7)*y1*x1^2+T(7)*z*y2+4*T(7)*y1^2-2*T(7)*y2*x1^2-2*T(7)*z*x2+T(7)*x2*x1^2+T(7)*x1^3-T(7)*y1*x1-T(7)*y2*x2+T(7)*y2*x1-T(7)*z+4*T(7)*x2+4*T(7)*x1-T(7)-T(8)*y1*x2*x1^2-T(8)*y1*x1^3+T(8)*y2*x1^3-T(8)*y1*y2*x1+T(8)*x2*x1^3+2*T(8)*x1^4+T(8)*y1*x2*x1+3*T(8)*y1*x1^2-2*T(8)*y2*x1^2+T(8)*y1*y2+3*T(8)*x1^3-T(8)*y1*x1+T(8)*y2*x1-5*T(8)*x1^2+T(8)*x1-T(9)*z^2*x1^3+T(9)*z^2*x1^2-2*T(9)*z*y1*x1^2-3*T(9)*z*y2*x1^2-T(9)*z*x2*x1^2+T(9)*z*x1^3+2*T(9)*z*y1*x1+T(9)*y1*x2*x1^2+T(9)*y1*x1^3+3*T(9)*z*y2*x1-T(9)*y1^2*x1+T(9)*y2*x1^3+T(9)*z*x2*x1-T(9)*z*x1^2+T(9)*x2*x1^3-T(9)*y1*x2*x1+3*T(9)*y1*x1^2+T(9)*y1^2-T(9)*y2*x1^2-2*T(9)*z*x1-2*T(9)*x2*x1^2-4*T(9)*x1^3+T(9)*y1*x2-4*T(9)*y1*x1-2*T(9)*y2*x1+T(9)*z+T(9)*x2*x1+4*T(9)*x1^2+T(9)*y1+2*T(9)*x1-z^2*y1*x2^3-z^3*x2^2-z^2*y1*y2*x2-z^2*x2^4+z^2*y1*y2*x1-z^2*x2*x1^3-z^3*x2+z^2*y1*x2-z^2*y1*x1-z*y1^2*x2-z^3-y1^2*x2^3-z^2*x2*x1-y1^3*x2-2*z*y1*x2^2-z*y1*x2*x1-y1^2*y2*x2-y1*x2^4-2*z^2*y2-z*y2*x2^2-y1^2*x2*x1+z^2*x2+z^2*x1+z*y1*y2-z*x2*x1^2-2*y1^3+3*y1^2*y2+y1*x2^3-3*y1*x2*x1^2-z*y2*x1-y2*x2^3-y1^2*x1+3*z^2-6*z*x1^2-y1*y2*x2+3*y1*y2*x1-3*x2*x1^3+y1*x2*x1+z*y2-2*y1^2-y2*x2^2-2*z*x2+5*z*x1+y1*y2-x2*x1^2+2*y1*x2-3*y1*x1+y2*x2-z-y1 norid[109]=T(7)*T(9)-T(1)*z^2*y1-T(1)*z^2*x2-T(1)*z^2*x1+T(1)*z*x1^3-2*T(1)*z*y1*x1+3*T(1)*y1*x2*x1^2+T(1)*z*y2*x2+T(1)*z^2-T(1)*z*x1^2+T(1)*y1*y2*x2+4*T(1)*y1*y2*x1-3*T(1)*x2*x1^3-3*T(1)*x1^4-2*T(1)*y1*x2*x1-3*T(1)*y2*x1^2-T(1)*z*x2-3*T(1)*z*x1-2*T(1)*y1*y2+2*T(1)*x2*x1^2+9*T(1)*x1^3+T(1)*y1*x2-3*T(1)*y1*x1+2*T(1)*y2*x1+T(1)*z+2*T(1)*x2^2-3*T(1)*x2*x1-7*T(1)*x1^2+8*T(1)*y1+5*T(1)*y2-8*T(1)*x2-4*T(1)*x1+8*T(1)+T(2)*z*y1^2-T(2)*z^2-2*T(2)*z*x2*x1-T(2)*z*x1^2-2*T(2)*x1^2-T(2)*y2+3*T(2)*x1+T(2)-T(3)*z^2*y2*x2+T(3)*z^2*x2-T(3)*z*y2*x2-T(3)*z^2+7*T(3)*z*x1^2+T(3)*z*x2-4*T(3)*z*x1+3*T(3)*x2*x1^2-3*T(3)*x1^3-2*T(3)*z+T(3)*x2^2-2*T(3)*x2*x1+4*T(3)*x1^2+5*T(3)*x2-4*T(3)*x1-T(3)-T(4)*z*y2*x2^2-T(4)*z*x2*x1^2-T(4)*y1^3-T(4)*y1^2*y2-6*T(4)*y1*x2*x1^2-T(4)*z*y2*x1+T(4)*z*x2^2+6*T(4)*y1*x2*x1+T(4)*y1*x1^2+3*T(4)*y1^2+7*T(4)*y2*x1^2-T(4)*z*x1+4*T(4)*y1*y2+3*T(4)*y1*x2+T(4)*y1*x1-4*T(4)*y2*x1+5*T(4)*x2*x1-6*T(4)*x1^2-T(4)*y2+2*T(4)*x2+8*T(4)*x1+3*T(4)+T(5)*z*x2*x1^2+2*T(5)*z*y1*x1+3*T(5)*y1*x2*x1^2-T(5)*z*y2*x2-2*T(5)*y1*x2*x1-3*T(5)*y1*x1^2+2*T(5)*y1^2-3*T(5)*y2*x1^2+T(5)*z*x2-T(5)*z*x1-2*T(5)*y1*y2-2*T(5)*y1*x2+4*T(5)*y2*x1+T(5)*x2*x1-4*T(5)*x1^2-3*T(5)*y1+3*T(5)*y2+3*T(5)*x1+5*T(5)-T(6)*z*x2*x1^2-2*T(6)*z*y1*x1+3*T(6)*y1^2*y2-6*T(6)*y1*x2*x1^2-2*T(6)*z*y2*x1-2*T(6)*y1^2*x2-3*T(6)*y1^2*x1-T(6)*z^2-T(6)*y1*x2^2+2*T(6)*y1*x2*x1-3*T(6)*y1^2+6*T(6)*y2*x1^2-T(6)*z*x1+9*T(6)*x2*x1^2+3*T(6)*x1^3+7*T(6)*y1*x2+6*T(6)*y1*x1+4*T(6)*y2*x2-2*T(6)*y2*x1-4*T(6)*x2*x1-9*T(6)*x1^2+T(6)*y1+3*T(6)*y2-5*T(6)*x2+3*T(6)*x1+4*T(6)+T(7)*z*y1^2+T(7)*z*y2*x2^2-T(7)*y1^2*x2*x1+T(7)*z^2*x1-T(7)*z*y2*x2-2*T(7)*z^2-T(7)*z*x2^2-T(7)*z*x2*x1+T(7)*y1*y2*x1+T(7)*z*y1+3*T(7)*y1*x2*x1+T(7)*z*y2+3*T(7)*y1^2-T(7)*z*x1-6*T(7)*x2*x1^2-6*T(7)*x1^3-T(7)*y1*x1-T(7)*y2*x2+2*T(7)*y2*x1-3*T(7)*z+3*T(7)*x2*x1+3*T(7)*x1^2-T(7)*y1-4*T(7)*y2+2*T(7)*x2+5*T(7)*x1+T(7)+T(8)*y1*x2*x1+T(8)*y1*x1^2-T(8)*y2*x1^2+T(8)*y1*y2-T(8)*x2*x1^2-2*T(8)*x1^3+3*T(8)*y1*x1+T(8)*y2*x1+4*T(8)*x2*x1-3*T(8)*x1^2+3*T(8)*x1+T(9)*z^2*x1^2-T(9)*z*x2*x1^3-T(9)*z*y2*x1^2+3*T(9)*z*x1^3+2*T(9)*z*y1*x1-T(9)*z*y2*x2+3*T(9)*z*y2*x1+6*T(9)*y2*x1^3+T(9)*z*x2*x1-4*T(9)*z*x1^2-T(9)*y1*x2*x1-T(9)*y1*x1^2+T(9)*y1^2-5*T(9)*y2*x1^2+T(9)*z*x2-T(9)*z*x1-6*T(9)*x1^3-4*T(9)*y1*x1-T(9)*y2*x1+T(9)*x2*x1+8*T(9)*x1^2+3*T(9)*x1+2*z^3*x2*x1+z*y1^2*y2*x2+2*z^3*y2+z*y1^2*x2*x1-z^3*x2-y1^2*x2^4+z^3*x1+z*y1^3+z*y1*y2*x2^2+z*y1^2*y2-z*y1*x2^3+y1^4-y1^2*y2*x2^2-y1*x2^5-y1^2*y2*x1^2+y1*x2*x1^4-z*y1^2*x2-z*y2*x2^3+3*z*y1^2*x1-z^3+z^2*x2*x1+z^2*x1^2+z*y1*y2*x2-7*z*y1*y2*x1+4*z*x2*x1^3+2*z^2*y1-z*y1*x2^2+3*z*y1*x2*x1+6*z*y1*x1^2+z^2*y2-8*z*y1^2-3*z*y2*x1^2+y1^2*x2^2-y2*x2^4-y1^2*x2*x1+y1^2*x1^2+z^2*x2-5*z^2*x1+3*z*y1*y2+2*z*x2*x1^2+3*z*x1^3+y1^3-2*y1*y2*x2^2-7*y1*y2*x1^2+7*x2*x1^4-3*z*y1*x2+3*z*y1*x1+2*z*y2*x2-z*y2*x1-y1^2*x2-2*y2*x2^3-6*y1^2*x1+3*z^2-2*z*x2^2+z*x2*x1-5*z*x1^2-2*y1*y2*x2+y1*y2*x1-x2*x1^3-11*z*y1+2*y1*x2^2-y1*x2*x1+7*y1*x1^2+4*z*y2-y1^2-2*y2*x2^2-7*z*x2-z*x1+12*y1*y2-12*x2*x1^2+2*y1*x2-y1*x1+12*y2*x2+9*z-12*y1 norid[110]=T(8)*T(9)-T(1)*y1*x2^3+T(1)*y1*y2*x1-T(1)*x2*x1^3+T(1)*z*y1-T(1)*y1*x2*x1+T(1)*y2*x2^2+T(1)*z*x2+T(1)*z*x1-3*T(1)*y1*y2+T(1)*x2^3+3*T(1)*x2*x1^2+5*T(1)*y1*x1-T(1)*y2*x2+T(1)*y2*x1-2*T(1)*z+T(1)*x2*x1+7*T(1)*x1^2-7*T(1)*y2+T(1)*x2+3*T(1)*x1+9*T(1)+T(2)*z*y2*x2-T(2)*z*y2*x1+T(2)*z*x2*x1-T(2)*y1^2+T(2)*y1*x1-T(2)*y2*x2+T(2)*y2*x1+2*T(2)*z+T(2)*x2*x1+3*T(2)*x1^2+T(2)*x2-2*T(2)*x1-T(3)*z^2*x2+T(3)*z*y2*x2-2*T(3)*z*x2^2-T(3)*x2^4-T(3)*z*y1-3*T(3)*z*x1+T(3)*y1*y2-2*T(3)*x2^3-T(3)*x2*x1^2+T(3)*y2*x2+2*T(3)*z-2*T(3)*x2^2-T(3)*x2*x1-2*T(3)*y1-4*T(3)*x2+5*T(3)*x1-6*T(3)+2*T(4)*y1*x2^3-T(4)*z*x2^2+2*T(4)*y1*x2*x1-T(4)*y2*x2^2+2*T(4)*x2*x1^2-3*T(4)*y1*x2+T(4)*z+3*T(4)*x2^2-3*T(4)*x2*x1-T(4)*y1+T(4)*y2+4*T(4)*x1-3*T(4)-T(5)*y1*x2^3+T(5)*y1*x2^2-T(5)*y1*x2*x1+T(5)*y2*x2^2-T(5)*z*x2-2*T(5)*x2*x1^2+T(5)*y1*x2-2*T(5)*y1*x1+T(5)*y2*x2+T(5)*y2*x1+T(5)*x2^2+5*T(5)*x2*x1+4*T(5)*y1+3*T(5)*y2-T(5)*x2+2*T(5)*x1-7*T(5)+T(6)*y1*x2^3+T(6)*y2*x2^3+T(6)*y1*x2*x1+T(6)*y1^2-2*T(6)*y2*x2^2-T(6)*y1*y2-3*T(6)*x2^3+3*T(6)*x2*x1^2+4*T(6)*y1*x1-T(6)*y2*x2+T(6)*y2*x1+T(6)*z+2*T(6)*x2^2-4*T(6)*x2*x1-T(6)*x1^2-5*T(6)*y1-6*T(6)*y2-2*T(6)*x2+3*T(6)*x1+2*T(6)+T(7)*z*x2^2+T(7)*z*x2*x1-T(7)*y1^2-T(7)*y2*x2^2-T(7)*z*x2-2*T(7)*z*x1+2*T(7)*y1*y2+2*T(7)*x2^3-2*T(7)*x2*x1^2+T(7)*y1*x2+T(7)*y1*x1+T(7)*y2*x2+3*T(7)*x2*x1+3*T(7)*x1^2-3*T(7)*y1+T(7)*y2-2*T(7)*x1-T(7)-T(8)*y1*x1+T(8)*x2^2-T(8)*x2*x1-T(8)*x1^2-T(8)-T(9)*z*y1*y2+T(9)*z*x2*x1^2-2*T(9)*y1^2*x2-T(9)*z*x1^2+2*T(9)*x2*x1^3+T(9)*z*y1-T(9)*z*x2+2*T(9)*y1*y2-3*T(9)*x2*x1^2+T(9)*y2*x2+T(9)*y2*x1+4*T(9)*x1^2-3*T(9)*y1-3*T(9)*x1+z^3*y1+z*y1^2*x2^2+z^3*x2+y1^2*x2^4+y1*y2*x2^4+z^2*y1*x2+z*y1^2*y2+2*z*y1*x2^3-z*y1*x2*x1^2-y1^4+y1^2*y2*x2^2+2*y1*x2^5+y1^2*y2*x1^2-y1*x2*x1^4+2*z^2*y2*x2+y1^2*x2^3+y2*x2^5-3*z^2*x2*x1-z*y1*y2*x2+2*z*x2^4+z*y1*y2*x1-z*x2*x1^3+y1*y2*x2^3+x2^6+z^2*y1-z*y1*x2^2-y1^2*y2*x2-y1*x2^4-3*z^2*y2+z*y2*x2^2-y1^2*x1^2-2*z^2*x2-z*y1*y2+2*z*x2^3-z*x2*x1^2-2*y1^3+2*y1*y2*x2^2+2*y1*y2*x1^2-2*x2*x1^4+z*y1*x2+z*y1*x1-y1^2*y2-2*y1*x2^3+z*y2*x2-2*z*y2*x1+3*y1^2*x2+3*y2*x2^3+y1^2*x1+z^2+3*z*x2^2-z*x2*x1-2*z*x1^2+3*y1*y2*x2+x2^4+13*y1*y2*x1-13*x2*x1^3+3*z*y1-3*y1*x2^2+y1*x2*x1-2*y1*x1^2+4*z*y2+16*y1^2+3*y2*x2^2+5*z*x2+15*z*x1-5*y1*y2+5*x2*x1^2-3*y1*x2-13*y1*x1-5*y2*x2-3*z+5*y1 norid[111]=T(9)^2+T(1)*y1*x2^5-T(1)*y1^3*x2+T(1)*x2^6+T(1)*y1^3*x1-T(1)*y1*y2*x1^3+T(1)*x2*x1^5-T(1)*y2*x2^4-1/2*T(1)*z*x1^3-2*T(1)*y1^3+2*T(1)*y1*y2*x2^2+2*T(1)*y1*y2*x1^2-2*T(1)*x2*x1^4+1/2*T(1)*z*y1*x2-1/2*T(1)*z*y1*x1+T(1)*y1^2*y2+T(1)*y1*x2^3-1/2*T(1)*y1*x2*x1^2+T(1)*y1*x1^3+3/2*T(1)*z*x2^2-5/2*T(1)*z*x1^2+T(1)*y1*y2*x2+T(1)*x2^4+3/2*T(1)*y1*y2*x1-1/2*T(1)*x2*x1^3-9/2*T(1)*x1^4+T(1)*z*y1-2*T(1)*y1*x2^2+7/4*T(1)*y1*x2*x1-11/4*T(1)*y1*x1^2+5/2*T(1)*z*y2-T(1)*y1^2-T(1)*y2*x2^2-3/2*T(1)*y2*x1^2-3/2*T(1)*z*x2+5*T(1)*z*x1+7/4*T(1)*y1*y2-T(1)*x2^3-15/4*T(1)*x2*x1^2+173/4*T(1)*x1^3-2*T(1)*y1*x2+219/4*T(1)*y1*x1+19/4*T(1)*y2*x1-3*T(1)*z-321/4*T(1)*x2^2+7/4*T(1)*x2*x1-49/4*T(1)*x1^2+123/4*T(1)*y1-289/4*T(1)*y2+471/4*T(1)*x2-411/4*T(1)*x1+31*T(1)-T(2)*x2^4+1/2*T(2)*x1^4+T(2)*y1*x2*x1+T(2)*y1*x1^2+T(2)*y1^2-T(2)*y2*x2^2+T(2)*z*x2+T(2)*z*x1-T(2)*y1*y2+2*T(2)*x2*x1^2+T(2)*y2*x2-T(2)*y2*x1+2*T(2)*x2^2-5*T(2)*x2*x1-15*T(2)*x1^2+T(2)*y1-T(2)*y2-T(2)*x2+181/4*T(2)*x1+T(2)+2*T(3)*z*x2^4+T(3)*y1^3-T(3)*y1*y2*x2^2+T(3)*x2^5-T(3)*y1*y2*x1^2+T(3)*x2*x1^4-T(3)*z*y1*x2-T(3)*z*y1*x1+T(3)*z^2+2*T(3)*z*x2^2+3/2*T(3)*z*x1^2+T(3)*x2^4+T(3)*y1*x2^2-T(3)*y1*x2*x1+T(3)*y1*x1^2+3/2*T(3)*z*x2-5/2*T(3)*z*x1-T(3)*y1*y2+2*T(3)*x2^3+5/2*T(3)*x2*x1^2-9/2*T(3)*x1^3-T(3)*y1*x2-T(3)*y1*x1-151/2*T(3)*z+3*T(3)*x2^2-1/4*T(3)*x2*x1+7/2*T(3)*x1^2+T(3)*y1-305/4*T(3)*x2+223/4*T(3)*x1+42*T(3)-T(4)*y1^3*x2*x1-2*T(4)*y1*x2^5-11/2*T(4)*y1^3*x2-T(4)*y1^3*x1-T(4)*y1*x2*x1^3+2*T(4)*y2*x2^4-3*T(4)*y1^2*x2*x1-5*T(4)*y1^2*x1^2+21/2*T(4)*y1^3-4*T(4)*y1*y2*x1^2+19/2*T(4)*y1^2*y2-2*T(4)*y1*x2^3-9*T(4)*y1*x2*x1^2-T(4)*y1*x1^3+17/2*T(4)*y1^2*x2+4*T(4)*y1^2*x1-T(4)*y2*x1^3+1/2*T(4)*z*x2*x1+2*T(4)*y1*y2*x2-3*T(4)*x2^4-10*T(4)*y1*y2*x1+T(4)*x2*x1^3-T(4)*y1*x2^2-97/4*T(4)*y1*x2*x1-17*T(4)*y1*x1^2+1/2*T(4)*z*y2+9/2*T(4)*y1^2+2*T(4)*y2*x2^2-4*T(4)*y2*x1^2+T(4)*z*x1+13*T(4)*y1*y2+T(4)*x2^3-13/4*T(4)*x2*x1^2+30*T(4)*y1*x2+63/2*T(4)*y1*x1+33*T(4)*y2*x1-2*T(4)*z-3*T(4)*x2^2+179/4*T(4)*x2*x1-2*T(4)*x1^2-7/4*T(4)*y1-117/4*T(4)*y2-5*T(4)*x2+9*T(4)*x1+42*T(4)+T(5)*y1*x2^5-T(5)*y1^3*x2-T(5)*y1^3*x1-T(5)*y1*x2^4+2*T(5)*y1^2*y2*x1-T(5)*y2*x2^4+2*T(5)*y1^2*x2*x1+2*T(5)*y1^2*x1^2+6*T(5)*y1^3+2*T(5)*y1*y2*x1^2-1/2*T(5)*z*y1*x1+6*T(5)*y1^2*y2+T(5)*y1*x2^3+3/2*T(5)*y1*x2*x1^2+T(5)*y1*x1^3+1/2*T(5)*y1^2*x2+12*T(5)*y1^2*x1-5/2*T(5)*z*x2*x1-T(5)*x2^4+33/2*T(5)*y1*y2*x1-T(5)*x2*x1^3-2*T(5)*z*y1-T(5)*y1*x2^2-T(5)*y1*x2*x1+3*T(5)*y1*x1^2-5/2*T(5)*z*y2-51/4*T(5)*y1^2-T(5)*y2*x2^2-7/2*T(5)*y2*x1^2+1/2*T(5)*z*x2+103/4*T(5)*y1*y2-3/4*T(5)*x2*x1^2-46*T(5)*y1*x2+63/4*T(5)*y1*x1-37/4*T(5)*y2*x1+5/2*T(5)*z-89/4*T(5)*x2*x1+161/4*T(5)*x1^2+35/4*T(5)*y1+271/4*T(5)*y2+46*T(5)*x1-301/4*T(5)-T(6)*y1^3*x2*x1-T(6)*y1*x2^5-3*T(6)*y1^2*y2*x1^2+3*T(6)*y1*x2*x1^4-T(6)*z^3-T(6)*y2*x2^5+11/2*T(6)*y1^3*x2-2*T(6)*y1^3*x1+T(6)*z*y1*x2*x1+T(6)*y1^2*y2*x2+4*T(6)*y1^2*y2*x1-4*T(6)*y1*x2*x1^3+T(6)*z*y1^2-T(6)*y1^2*x2^2+2*T(6)*y2*x2^4+2*T(6)*y1^2*x2*x1-T(6)*y1^2*x1^2-2*T(6)*y1^3+T(6)*y1*y2*x2^2+3*T(6)*x2^5-3*T(6)*y1*y2*x1^2-T(6)*x2*x1^4-1/2*T(6)*z*y1*x2+T(6)*z*y1*x1-7*T(6)*y1^2*y2-T(6)*y1*x2^3-8*T(6)*y1*x2*x1^2-3*T(6)*y1*x1^3+3/2*T(6)*z*y2*x1+45/4*T(6)*y1^2*x2-T(6)*y2*x2^3-45/2*T(6)*y1^2*x1-T(6)*y2*x1^3+1/2*T(6)*z*x2*x1-57/4*T(6)*y1*y2*x2-2*T(6)*x2^4-47/2*T(6)*y1*y2*x1-2*T(6)*x2*x1^3+3*T(6)*z*y1-113/2*T(6)*y1*x2^2-33/2*T(6)*y1*x2*x1-20*T(6)*y1*x1^2+3*T(6)*z*y2+26*T(6)*y1^2+2*T(6)*y2*x2^2-3/2*T(6)*y2*x1^2+3*T(6)*z*x2+3/2*T(6)*z*x1-7*T(6)*y1*y2+3*T(6)*x2^3+13/4*T(6)*x2*x1^2+3/2*T(6)*x1^3+133/2*T(6)*y1*x2+51/2*T(6)*y1*x1+105*T(6)*y2*x2-3/4*T(6)*y2*x1-2*T(6)*z-2*T(6)*x2^2+49/4*T(6)*x2*x1+21/2*T(6)*x1^2+89/2*T(6)*y1-347/4*T(6)*y2-709/4*T(6)*x2-103/2*T(6)*x1+114*T(6)+T(7)*z*y1^2*x2*x1+T(7)*y1^3*x2*x1+T(7)*z^2*y2*x1-2*T(7)*z*y1^2*x2+3*T(7)*z^2*x1^2-T(7)*z*y1*y2*x1+9/2*T(7)*y1^3*x2-T(7)*y1^3*x1+T(7)*z*y1*x2*x1+T(7)*z*y1*x1^2+9/2*T(7)*y1^2*y2*x2-2*T(7)*y1^2*y2*x1-3*T(7)*y1*x2*x1^3-11/2*T(7)*z^2*y2+T(7)*z*y2*x1^2+3*T(7)*y1^2*x2^2+17/2*T(7)*y1^2*x2*x1-3*T(7)*y1^2*x1^2+T(7)*z^2*x2-3*T(7)*z^2*x1+T(7)*z*y1*y2+15/2*T(7)*y1^3-2*T(7)*y1*y2*x2^2-2*T(7)*x2^5-2*T(7)*y1*y2*x1^2+2*T(7)*x2*x1^4+11/2*T(7)*z*y1*x2+13/2*T(7)*z*y1*x1+3*T(7)*y1*x2*x1^2-T(7)*y1*x1^3+T(7)*z*y2*x2+11/2*T(7)*z*y2*x1-1/2*T(7)*y1^2*x1-3*T(7)*y2*x1^3-9/2*T(7)*z^2-11/2*T(7)*z*x2^2+T(7)*z*x2*x1+17/2*T(7)*z*x1^2-3*T(7)*y1*y2*x2-17/2*T(7)*y1*y2*x1+T(7)*x2*x1^3+T(7)*x1^4-12*T(7)*z*y1+3*T(7)*y1*x2^2+17/2*T(7)*y1*x2*x1+15/2*T(7)*y1*x1^2-13/2*T(7)*z*y2+27/2*T(7)*y1^2+6*T(7)*y2*x1^2+3/2*T(7)*z*x2+3/4*T(7)*z*x1-27/2*T(7)*y1*y2-3*T(7)*x2^3-5/2*T(7)*x1^3-3*T(7)*y1*x2+5/2*T(7)*y1*x1+13/2*T(7)*y2*x2+11*T(7)*y2*x1-17/4*T(7)*z+5/2*T(7)*x2^2-29*T(7)*x2*x1-57/2*T(7)*x1^2-87/4*T(7)*y1+27/4*T(7)*y2+143/2*T(7)*x2+159/2*T(7)*x1-29/4*T(7)-T(8)*y1^2*y2-3*T(8)*y1*x2*x1^2-3*T(8)*y1*x1^3-T(8)*y1*y2*x2-T(8)*x2^4+T(8)*y1*y2*x1-T(8)*x2*x1^3-1/2*T(8)*y1*x2*x1-1/2*T(8)*y1*x1^2+9/2*T(8)*y1^2+167/4*T(8)*y2*x1^2+1/2*T(8)*z*x1-6*T(8)*y1*y2+9/2*T(8)*x2*x1^2-137/4*T(8)*x1^3-3/2*T(8)*y1*x2-159/4*T(8)*y1*x1+161/4*T(8)*y2*x1-T(8)*x2^2-7/4*T(8)*x2*x1+109/4*T(8)*x1^2-1/2*T(8)*y1-3/2*T(8)*y2+147/4*T(8)*x1-T(9)*z^3*x1^2-T(9)*z^2*y1*x1^2+2*T(9)*z^3*x1-T(9)*z*y1^3+T(9)*z*y1*y2*x2^2+T(9)*z*y1*y2*x1^2-T(9)*z*x2*x1^4-9/2*T(9)*z^2*y1*x1-9/2*T(9)*z^2*y2*x1+2*T(9)*y1^2*x2^3-3*T(9)*z^2*x2*x1-17/2*T(9)*z^2*x1^2-T(9)*z*y1*x2^2+15/2*T(9)*z*y1*x2*x1-5/2*T(9)*z*y1*x1^2-T(9)*z*y1^2-5*T(9)*z^2*x1+T(9)*z*y1*y2+3/2*T(9)*z*x1^3+2*T(9)*y1^3-2*T(9)*y1*y2*x2^2-2*T(9)*y1*y2*x1^2+3*T(9)*x2*x1^4-95/4*T(9)*z*y1*x1-T(9)*y1^2*y2+3/2*T(9)*y1*x2*x1^2+139/4*T(9)*z*y2*x1+15/2*T(9)*y1^2*x2-T(9)*y1^2*x1+4*T(9)*y2*x1^3+T(9)*z^2+60*T(9)*z*x2*x1+13*T(9)*z*x1^2-9/4*T(9)*x2*x1^3-T(9)*z*y1+2*T(9)*y1*x2^2-4*T(9)*y1*x2*x1+23/2*T(9)*y1*x1^2-9/2*T(9)*y1^2+20*T(9)*y2*x1^2-72*T(9)*z*x1+7/2*T(9)*y1*y2+35/4*T(9)*x2*x1^2-2*T(9)*x1^3-T(9)*y1*x2-9/2*T(9)*y1*x1-113/4*T(9)*y2*x1+T(9)*x2^2-5*T(9)*x2*x1+9*T(9)*x1^2+2*T(9)*y1+43*T(9)*x1-T(9)+z*y1*x2^4+z^2*y2*x2^2-z*y1^2*x2^2+z^2*x2^3-z*y1^3+2*z*y1*y2*x2^2+2*z*x2^5+z*y1*y2*x1^2-z*x2*x1^4+2*y1^3*x2^2-2*y1*y2*x2^4-2*y1^3*x2*x1+2*y1^3*x1^2-2*y1*y2*x1^4+2*x2*x1^6-z^2*y1*x2-z*y1^2*y2-z*y1*x2^3+z*y1*x2*x1^2-z^2*y2*x2+2*z*y1^2*x2+z*y2*x2^3-z^3-y1^2*x2^3-2*y2*x2^5+2*z^2*x2*x1-2*z*y1*y2*x2-2*z*x2^4+3*z*y1*y2*x1-z*x2*x1^3+2*y1^3*x2-2*y1*y2*x2^3+y1*y2*x1^3-x2*x1^5-3*z^2*y1-2*z*y1*x2^2+2*z*y1*x2*x1-z*y1*x1^2-3*y1^2*y2*x2+y1*x2^4+6*y1^2*y2*x1-8*y1*x2*x1^3+2*y1*x1^4+2*z^2*y2+3*z*y1^2-6*z*y2*x2^2+2*z*y2*x1^2-2*y2*x2^4+y1^2*x2*x1+y1^2*x1^2-4*z^2*x2+3/2*z^2*x1-4*z*x2^3-5/2*z*x2*x1^2+z*x1^3+y1^3-2*y1*y2*x2^2+3*y1*y2*x1^2-3*x2*x1^4+1/2*z*y1*x2-5/2*z*y1*x1-17/4*y1^2*y2+2*y1*x2^3+13/4*y1*x2*x1^2-y1*x1^3-z*y2*x2-z*y2*x1+5/2*y1^2*x2-3*y2*x2^3-3*y1^2*x1-3*z^2-5/2*z*x2^2-15/4*z*x2*x1+27/4*z*x1^2-7/4*y1*y2*x2-23/4*y1*y2*x1+23/4*x2*x1^3+19/4*z*y1+7/2*y1*x2^2+3/2*y1*x2*x1-3*y1*x1^2-15/4*z*y2-3*y1^2-1/2*y2*x2^2+5/4*z*x2-155/2*z*x1-9/4*y1*y2+9/4*x2*x1^2+1/2*y1*x2+23/4*y1*x1-3/4*y2*x2-39*z+9/4*y1 norid[112]=y2^2-y1*x2-y1*x1-y2 norid[113]=-y1*y2+x2^2*x1+x2*x1^2+y1 norid[114]=-y1^2+y2*x2*x1 norid[115]=z^3-y1^3*y2+y1^2*x2*x1^2-z*y1*x2*x1-y1^2*y2*x2-z*y1^2+y1^3-z*y1*x1-z*y2*x1 norid[116]=-z^3*x2+y1^3*y2*x2-z^3*x1+z*y1^2*y2+y1^4+y1^2*y2*x2^2+z*y1^2*x2+z*y1^2*x1-y1^3*x2+z*y1*x2*x1+z*y1*x1^2+z*y2*x1^2 norid[117]=-z^3*y2+y1^4*x2+z*y1^3+y1^3*x2^2+y1^3*x2*x1+z*y1^2*y2+z*y1*y2*x1+z*y1*x2*x1+z*y1*x1^2+y1^2*y2*x2+z*y2*x1 norid[118]=y1^5-z^3*x2*x1-z^3*x1^2+z*y1^2*y2*x1+z^3*y2+y1^4*x1+z*y1^2*x2*x1+z*y1^2*x1^2-z*y1^3-y1^3*x2^2-2*y1^3*x2*x1-z*y1^2*y2+z*y1*x2*x1^2+z*y1*x1^3+z*y2*x1^3-z*y1*y2*x1-z*y1*x2*x1-z*y1*x1^2-y1^2*y2*x2-z*y2*x1 \end{verbatim} \begin{verbatim} > option(redSB); > ideal j=std(norid);j; j[1]=y2^2-y1*x2-y1*x1-y2 j[2]=y1*y2-x2^2*x1-x2*x1^2-y1 j[3]=y1^2-y2*x2*x1 j[4]=z^3-y2*x2^3*x1^2-z*y1*x2*x1-y1*x2^3*x1-y1*x2^2*x1^2-z*y2*x2*x1-z*y1*x1-z*y2*x1-y2*x2^2*x1 j[5]=T(9)*z-y2*x2^4*x1-z*y1*x2^2-y1*x2^4-y1*x2^3*x1-z*y2*x2^2+x2^4*x1+x2^3*x1^2-z*y1*x2+y2*x2^2*x1+z*x2^2+z*x2*x1+z*y2+z*x1-z j[6]=T(9)*y2*x1-z^2*y2*x2+z^2*x2+z^2*x1 j[7]=T(9)*y1*x1-z^2*y1*x2+z^2*y2-z^2 j[8]=T(9)*x2^2*x1+T(9)*x2*x1^2+T(9)*y1-z^2*x2^3-z^2*x2^2*x1+z^2*y1 j[9]=T(8)*x1-z*y1*x2+x2^2*x1^2+z*y2+y2*x2*x1+z*x1-z j[10]=T(8)*y2-z*x2^3-z*x2^2*x1+y2*x2^2*x1+z*y1+y1*x2^2+y1*x2*x1+z*y2+y2*x2 j[11]=T(8)*y1-z*y2*x2^2+y1*x2^2*x1+z*x2^2+z*x2*x1+x2^3*x1+x2^2*x1^2+z*y1+y1*x2 j[12]=T(8)*z-T(9)*y1+z*x2^2*x1+z*y2*x2+z^2 j[13]=T(7)-T(9)*x2*x1^2+z^2*x2^2*x1-z^2*y1-z*x2^2*x1-z*y2*x2-z^2 j[14]=T(6)-y1*x2^2*x1-z*x2*x1-x2^3*x1-x2^2*x1^2-z*y1-z*x1-y1*x2 j[15]=T(5)-y2*x2^2*x1-z*y1-y1*x2^2-y1*x2*x1-z*y2+x2^2*x1+z j[16]=T(4)+T(9)*x1-z^2*x2 j[17]=T(3)-x2^3*x1-x2^2*x1^2-z*y2-y2*x2^2-y2*x2*x1-z*x2-z*x1+x2^2*x1+y2*x2+z j[18]=T(2)*x1-T(9)*x2*x1^2+z^2*x2^2*x1-z^2*y1 j[19]=T(2)*y2-T(2)+T(9)*x2*x1-z^2*x2^2 j[20]=T(2)*y1-z^2*x2 j[21]=T(2)*x2^2-T(9)*x2*x1^3-T(9)*y2+z^2*x2^2*x1^2-z^2*y1*x1+z^2*y2-2*z^2 j[22]=T(2)*z-y1*x2^3*x1-z*x2^2*x1-x2^4*x1-x2^3*x1^2-z*y1*x2-z*x2*x1-z*y1-y1*x2^2 j[23]=T(1)+x2^2*x1+y2*x2+z j[24]=T(9)^2-T(8)*x2^4-T(8)*x2^2-T(9)*y1*x2^2-T(9)*y2*x2^2-T(9)*y1*x2+T(9)*x2^2+T(9)*x2*x1+T(9)*y2+T(9)*x1-T(9)-z*y2*x2^5-z*y1*x2^4+2*z*x2^5+2*z*x2^4*x1-x2^6*x1+2*z*y2*x2^3-y2*x2^5-z*x2^4-z*y1*x2^2-2*z*x2^3-z*x2^2*x1-x2^4*x1-y2*x2^3-z*x2^2 j[25]=T(8)*T(9)+T(8)*x2^2-T(8)-T(9)*x2*x1^2+T(9)*y2*x2-T(9)*y1-x2^7*x1-x2^6*x1^2-z*y2*x2^4-y2*x2^6-y2*x2^5*x1+z^2*x2^3+z^2*x2^2*x1-z*x2^5-z*x2^4*x1+y1*x2^5+2*y1*x2^4*x1-z*y2*x2^3+y2*x2^4*x1+z*x2^4+z*x2^3*x1+x2^6+3*x2^5*x1+2*x2^4*x1^2-z^2*y1+3*z*y1*x2^2+y1*x2^4+y1*x2^3*x1+z*y2*x2^2-y2*x2^4-y2*x2^3*x1+2*z*x2^3+2*z*x2^2*x1-x2^3*x1^2+2*z*y1*x2-y1*x2^2*x1-z*y2*x2+y2*x2^3-y2*x2^2*x1-z*x2*x1+x2^4+x2^3*x1-z*y1-2*z*y2+z*x2-z*x1-x2^2*x1-y2*x2+z j[26]=T(2)*T(9)+T(9)*x2*x1^2-T(9)*y1*x2-T(9)*x2*x1-z*y1*x2^4-z^2*x2^3-z^2*x2^2*x1-z*x2^5-z*x2^4*x1+z*y2*x2^3+z^2*y1+z*y1*x2^2-z*x2^3 j[27]=T(8)^2-T(9)*y2*x2^2+T(9)*x2^2+T(9)*x2*x1+2*T(9)*y1+2*z*y1*x2^3+2*z*x2^4+2*z*x2^3*x1-x2^4*x1^2-2*z*y2*x2^2-2*y2*x2^3*x1-2*z*x2^2*x1-2*z*y1*x2-y1*x2^3-y1*x2^2*x1-2*z*y2*x2-z^2+2*z*x2^2-y2*x2^2 j[28]=T(2)*T(8)+T(2)*x2+T(9)*x2*x1^4+T(9)*x2*x1^2+T(9)*y1-z^2*x2^2*x1^3+z^2*y1*x1^2-y2*x2^5*x1-z^2*x2^2*x1-z*y1*x2^3-y1*x2^5-y1*x2^4*x1+z^2*y2*x2-z^2*y2*x1-z*y2*x2^3+x2^5*x1+x2^4*x1^2+z^2*y1-z*y1*x2^2+y1*x2^3*x1+y2*x2^3*x1-z^2*x2+z^2*x1+z*x2^3+2*z*x2^2*x1+x2^4*x1+x2^3*x1^2+z*y1*x2+z*y2*x2+2*z*x2*x1+z*y1+y1*x2^2-z*x2 j[29]=T(2)^2-T(9)*x2*x1^4+T(9)*x2*x1^3+z^2*x2^2*x1^3-z^2*x2^2*x1^2-z^2*y1*x1^2-z*x2^4*x1+z^2*y1*x1-z^2*y2*x2+z^2*y2*x1-z*y2*x2^3-z^2*x2^2-z^2*y2-z^2*x1+z^2 \end{verbatim} The output of my char 0 code is \begin{verbatim} q= 3 GFq Finite field of size 3 Pq Polynomial ring of rank 5 over GF(3) Order: Weight [full] Variables: $.1, $.2, $.3, $.4, $.5 q 3 wt [ [ 19, 15, 12, 9, 9 ], [ 12, 9, 9, 9, 0 ] ] Q [ $.2^2 + 2*$.3*$.4*$.5, $.2*$.3 + 2*$.4^2*$.5 + 2*$.4*$.5^2 + 2*$.2, $.3^2 + 2*$.2*$.4 + 2*$.2*$.5 + 2*$.3 ] fq $.1^3 + 2*$.3*$.4^3*$.5^2 + 2*$.1*$.2*$.4*$.5 + 2*$.2*$.4^3*$.5 + 2*$.2*$.4^2*$.5^2 + 2*$.1*$.3*$.4*$.5 + 2*$.1*$.2*$.5 + 2*$.1*$.3*$.5 + 2*$.3*$.4^2*$.5 Delta= $.4^2*$.5^2 + $.4*$.5^3 WT_MATRIX_T= [ [ 38, 35, 34, 32, 31, 19, 15, 12, 9, 9 ], [ 24, 24, 21, 24, 21, 12, 9, 9, 9, 0 ] ] time for q= 3 is 0.230 seconds modulus= 3 1111111111111111111111111111111111111111111111111111111111 q= 5 GFq Finite field of size 5 Pq Polynomial ring of rank 5 over GF(5) Order: Weight [full] Variables: $.1, $.2, $.3, $.4, $.5 q 5 wt [ [ 19, 15, 12, 9, 9 ], [ 12, 9, 9, 9, 0 ] ] Q [ $.2^2 + 4*$.3*$.4*$.5, $.2*$.3 + 4*$.4^2*$.5 + 4*$.4*$.5^2 + 4*$.2, $.3^2 + 4*$.2*$.4 + 4*$.2*$.5 + 4*$.3 ] fq $.1^3 + 4*$.3*$.4^3*$.5^2 + 4*$.1*$.2*$.4*$.5 + 4*$.2*$.4^3*$.5 + 4*$.2*$.4^2*$.5^2 + 4*$.1*$.3*$.4*$.5 + 4*$.1*$.2*$.5 + 4*$.1*$.3*$.5 + 4*$.3*$.4^2*$.5 Delta= $.4^2*$.5^3 + $.4*$.5^4 WT_MATRIX_T= [ [ 38, 35, 34, 32, 31, 19, 15, 12, 9, 9 ], [ 24, 24, 21, 24, 21, 12, 9, 9, 9, 0 ] ] time for q= 5 is 0.520 seconds modulus= 15 [ f_19_12^2*f_9_9^2*f_9_0 + f_19_12^2*f_9_9*f_9_0^2, f_19_12^2*f_15_9*f_9_9 + f_19_12^2*f_15_9*f_9_0 - f_19_12^2*f_12_9 + f_19_12^2, f_19_12*f_15_9*f_9_9^2*f_9_0 + f_19_12*f_15_9*f_9_9*f_9_0^2, f_19_12^2*f_12_9*f_9_9 - f_19_12^2*f_9_9, f_19_12*f_12_9*f_9_9^2*f_9_0 + f_19_12*f_12_9*f_9_9*f_9_0^2, f_19_12*f_9_9^2*f_9_0 + f_19_12*f_9_9*f_9_0^2, f_15_9*f_9_9^2*f_9_0 + f_15_9*f_9_9*f_9_0^2, f_12_9*f_9_9^2*f_9_0 + f_12_9*f_9_9*f_9_0^2, f_9_9^3*f_9_0 + f_9_9^2*f_9_0^2, f_9_9^2*f_9_0^2 + f_9_9*f_9_0^3, f_9_9^2*f_9_0 + f_9_9*f_9_0^2 ] 1 f_19_12^2*f_9_9^2*f_9_0 + f_19_12^2*f_9_9*f_9_0^2 2 f_19_12^2*f_15_9*f_9_9 + f_19_12^2*f_15_9*f_9_0 - f_19_12^2*f_12_9 + f_19_12^23 f_19_12*f_15_9*f_9_9^2*f_9_0 + f_19_12*f_15_9*f_9_9*f_9_0^2 4 f_19_12^2*f_12_9*f_9_9 - f_19_12^2*f_9_9 5 f_19_12*f_12_9*f_9_9^2*f_9_0 + f_19_12*f_12_9*f_9_9*f_9_0^2 6 f_19_12*f_9_9^2*f_9_0 + f_19_12*f_9_9*f_9_0^2 7 f_15_9*f_9_9^2*f_9_0 + f_15_9*f_9_9*f_9_0^2 8 f_12_9*f_9_9^2*f_9_0 + f_12_9*f_9_9*f_9_0^2 9 f_9_9^3*f_9_0 + f_9_9^2*f_9_0^2 10 f_9_9^2*f_9_0^2 + f_9_9*f_9_0^3 11 f_9_9^2*f_9_0 + f_9_9*f_9_0^2 newrelations= [ f_12_9^2 - f_15_9*f_9_9 - f_15_9*f_9_0 - f_12_9, f_15_9^2 - f_12_9*f_9_9*f_9_0, f_15_9*f_12_9 - f_9_9^2*f_9_0 - f_9_9*f_9_0^2 - f_15_9, f_19_12^2 - f_38_24, f_19_12*f_15_9 - f_34_21, f_19_12*f_12_9 - f_31_21, f_31_21^2 - f_35_24*f_9_9^2*f_9_0 - f_35_24*f_9_9*f_9_0^2 - 2*f_32_24*f_9_9*f_9_0 - 2*f_32_24*f_9_0^2 - f_38_24, f_31_21*f_19_12 - f_32_24*f_9_9*f_9_0 - f_32_24*f_9_0^2 - f_38_24, f_31_21*f_15_9 - f_19_12*f_9_9^2*f_9_0 - f_19_12*f_9_9*f_9_0^2 - f_34_21, f_31_21*f_12_9 - f_34_21*f_9_9 - f_34_21*f_9_0 - f_31_21, f_32_24^2 - f_19_12*f_9_9^4*f_9_0 - f_32_24*f_9_9^2*f_9_0 - f_31_21*f_9_9^3 - f_38_24*f_9_9^2 - f_32_24*f_9_9*f_9_0 - f_38_24*f_9_9, f_32_24*f_31_21 - f_9_9^5*f_9_0^2 - f_9_9^4*f_9_0^3 - f_31_21*f_9_9^2*f_9_0 - f_12_9*f_9_9^4*f_9_0 - f_12_9*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^3*f_9_0 - f_19_12*f_9_9^2*f_9_0^2 - f_15_9*f_9_9^3*f_9_0 - f_31_21*f_9_9*f_9_0 - f_19_12*f_9_9^2*f_9_0 - f_19_12*f_9_9*f_9_0^2 - f_9_9^4*f_9_0 - f_9_9^3*f_9_0^2 - f_34_21*f_9_9 - f_34_21 - f_15_9*f_9_9^2, f_32_24*f_19_12 - f_15_9*f_9_9^3*f_9_0 - f_19_12*f_9_9^2*f_9_0 - f_9_9^4*f_9_0 - f_9_9^3*f_9_0^2 - f_34_21*f_9_9 - f_19_12*f_9_9*f_9_0 - f_34_21 - f_15_9*f_9_9^2, f_32_24*f_15_9 - f_38_24*f_9_9, f_32_24*f_12_9 - f_35_24*f_9_9 - f_32_24, f_34_21^2 - f_32_24*f_9_9^2*f_9_0^2 - f_32_24*f_9_9*f_9_0^3 - f_38_24*f_9_9*f_9_0, f_34_21*f_32_24 - f_12_9*f_9_9^4*f_9_0^2 - f_34_21*f_9_9^2*f_9_0 - f_15_9*f_9_9^4*f_9_0 - f_15_9*f_9_9^3*f_9_0^2 - f_31_21*f_9_9^2*f_9_0 - f_34_21*f_9_9*f_9_0 - f_31_21*f_9_9*f_9_0 - f_12_9*f_9_9^3*f_9_0, f_34_21*f_31_21 - f_38_24*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0^2 - f_35_24*f_9_9*f_9_0 - f_32_24*f_9_0, f_34_21*f_19_12 - f_35_24*f_9_9*f_9_0 - f_32_24*f_9_0, f_34_21*f_15_9 - f_31_21*f_9_9*f_9_0, f_34_21*f_12_9 - f_19_12*f_9_9^2*f_9_0 - f_19_12*f_9_9*f_9_0^2 - f_34_21, f_35_24^2 - f_34_21*f_9_9^3*f_9_0 - f_34_21*f_9_9^2*f_9_0^2 - f_38_24*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0^2 - f_19_12*f_9_9^4*f_9_0 - 2*f_19_12*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^3 - f_35_24*f_9_9^2*f_9_0 - f_35_24*f_9_9*f_9_0^2 + f_31_21*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0 - f_38_24*f_9_0^2 - f_35_24*f_9_0^2 - f_19_12*f_9_9^2*f_9_0 + f_35_24*f_9_0, f_35_24*f_34_21 - f_15_9*f_9_9^4*f_9_0^2 - f_15_9*f_9_9^3*f_9_0^3 - f_19_12*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^3 - f_9_9^5*f_9_0^2 - 2*f_9_9^4*f_9_0^3 - f_9_9^3*f_9_0^4 - f_34_21*f_9_9^2*f_9_0 - f_34_21*f_9_9*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^2 - f_19_12*f_9_9*f_9_0^3 - f_34_21*f_9_9*f_9_0 - f_34_21*f_9_0^2 - f_15_9*f_9_9^3*f_9_0 - f_15_9*f_9_9^2*f_9_0^2, f_35_24*f_32_24 - f_31_21*f_9_9^3*f_9_0 - f_35_24*f_9_9^2*f_9_0 - f_34_21*f_9_9^3 - f_34_21*f_9_9^2*f_9_0 - f_32_24*f_9_9^2*f_9_0 - f_32_24*f_9_9*f_9_0^2 + f_19_12*f_9_9^3*f_9_0 - f_35_24*f_9_9*f_9_0 - f_32_24*f_9_9*f_9_0 - f_32_24*f_9_0^2, f_35_24*f_31_21 - f_12_9*f_9_9^4*f_9_0^2 - f_12_9*f_9_9^3*f_9_0^3 - f_34_21*f_9_9^2*f_9_0 - f_34_21*f_9_9*f_9_0^2 - f_15_9*f_9_9^4*f_9_0 - 2*f_15_9*f_9_9^3*f_9_0^2 - f_15_9*f_9_9^2*f_9_0^3 - f_31_21*f_9_9^2*f_9_0 - f_31_21*f_9_9*f_9_0^2 - f_34_21*f_9_9*f_9_0 - f_34_21*f_9_0^2 - f_31_21*f_9_9*f_9_0 - f_31_21*f_9_0^2 - f_12_9*f_9_9^3*f_9_0 - f_12_9*f_9_9^2*f_9_0^2, f_35_24*f_19_12 - f_9_9^4*f_9_0^2 - f_9_9^3*f_9_0^3 - f_31_21*f_9_9*f_9_0 - f_12_9*f_9_9^3*f_9_0 - f_12_9*f_9_9^2*f_9_0^2 - f_19_12*f_9_9^2*f_9_0 - f_19_12*f_9_9*f_9_0^2 - f_31_21*f_9_0 - f_19_12*f_9_0^2 + f_19_12*f_9_0, f_35_24*f_15_9 - f_32_24*f_9_9*f_9_0 - f_32_24*f_9_0^2, f_35_24*f_12_9 - f_38_24*f_9_9 - f_38_24*f_9_0, f_38_24^2 - f_31_21*f_9_9^3*f_9_0^2 - f_35_24*f_9_9^2*f_9_0^2 - f_34_21*f_9_9^3*f_9_0 - f_34_21*f_9_9^2*f_9_0^2 - f_32_24*f_9_9^2*f_9_0^2 - f_32_24*f_9_9*f_9_0^3 - f_35_24*f_9_9*f_9_0^2 - 2*f_32_24*f_9_9*f_9_0^2 - f_32_24*f_9_0^3 - f_31_21*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0 - f_32_24*f_9_0^2 - f_38_24*f_9_0, f_38_24*f_35_24 - f_19_12*f_9_9^4*f_9_0^2 - f_19_12*f_9_9^3*f_9_0^3 - f_32_24*f_9_9^2*f_9_0^2 - f_32_24*f_9_9*f_9_0^3 - f_31_21*f_9_9^3*f_9_0 - f_31_21*f_9_9^2*f_9_0^2 - f_38_24*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0^2 - f_32_24*f_9_9*f_9_0^2 - f_32_24*f_9_0^3 - f_38_24*f_9_9*f_9_0 - f_38_24*f_9_0^2, f_38_24*f_34_21 - f_9_9^5*f_9_0^3 - f_9_9^4*f_9_0^4 - f_31_21*f_9_9^2*f_9_0^2 - f_12_9*f_9_9^4*f_9_0^2 - f_12_9*f_9_9^3*f_9_0^3 - f_19_12*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^3 - f_15_9*f_9_9^3*f_9_0^2 - f_31_21*f_9_9*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^2 - f_19_12*f_9_9*f_9_0^3 - f_9_9^4*f_9_0^2 - f_9_9^3*f_9_0^3 - f_34_21*f_9_9*f_9_0 - f_34_21*f_9_0 - f_15_9*f_9_9^2*f_9_0, f_38_24*f_32_24 - f_34_21*f_9_9^3*f_9_0 - f_38_24*f_9_9^2*f_9_0 - f_19_12*f_9_9^4*f_9_0 - f_19_12*f_9_9^3*f_9_0^2 - f_35_24*f_9_9^2*f_9_0 - f_38_24*f_9_9*f_9_0 - f_35_24*f_9_9*f_9_0 - f_34_21*f_9_9^2 - f_32_24*f_9_9*f_9_0 - f_32_24*f_9_0, f_38_24*f_31_21 - f_15_9*f_9_9^4*f_9_0^2 - f_15_9*f_9_9^3*f_9_0^3 - f_19_12*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^3 - f_9_9^5*f_9_0^2 - 2*f_9_9^4*f_9_0^3 - f_9_9^3*f_9_0^4 - f_34_21*f_9_9^2*f_9_0 - f_34_21*f_9_9*f_9_0^2 - f_12_9*f_9_9^3*f_9_0^2 - f_19_12*f_9_9^2*f_9_0^2 - f_19_12*f_9_9*f_9_0^3 - 2*f_34_21*f_9_9*f_9_0 - f_34_21*f_9_0^2 - 2*f_15_9*f_9_9^3*f_9_0 - 2*f_15_9*f_9_9^2*f_9_0^2 - f_31_21*f_9_9*f_9_0 - f_34_21*f_9_0 - f_31_21*f_9_0 - f_12_9*f_9_9^2*f_9_0, f_38_24*f_19_12 - f_12_9*f_9_9^3*f_9_0^2 - f_34_21*f_9_9*f_9_0 - f_15_9*f_9_9^3*f_9_0 - f_15_9*f_9_9^2*f_9_0^2 - f_31_21*f_9_9*f_9_0 - f_34_21*f_9_0 - f_31_21*f_9_0 - f_12_9*f_9_9^2*f_9_0, f_38_24*f_15_9 - f_35_24*f_9_9*f_9_0 - f_32_24*f_9_0, f_38_24*f_12_9 - f_32_24*f_9_9*f_9_0 - f_32_24*f_9_0^2 - f_38_24 ] totaltime= 0.780 seconds \end{verbatim} I can't get anything from MAGMA's Normalisation or any of the Macaulay2 1.2 commands at the moment, even in char 2, either for lack of space (4GB) or lack of time (20+hours CPU time). \end{document} A second attempt at the char 2 version in SINGULAR, but using the poor description $I_6$ from Normalization of Rings: \begin{verbatim} > ring r=2,(v,z,u,y,x),dp; > poly p1=z3+zyx+y3x2+y2x3; > poly p2=uyx+z2; > poly p3=uz+z+y2x+yx2; > poly p4=u2+u+zy+zx; > poly p5=v3+vux+vz2+vzyx+vzx+uz3+uz2y+z3+z2yx2; > ideal i=p1,p2,p3,p4,p5; > list nor=normal(i); > nor; [1]: [1]: // characteristic : 2 // number of vars : 12 // block 1 : ordering dp // : names T(1) T(2) T(3) T(4) T(5) T(6) T(7) // block 2 : ordering dp // : names v z u y x // block 3 : ordering C [2]: [1]: _[1]=vzyx2+vz2u+vz2y+vz2 _[2]=vzuy2+vzy3+vz2y+vzy2 _[3]=vz2y2+vzy3+vz2y+vzy2 _[4]=vz2uy+vzy3+vz2yx+vzy2 _[5]=vz3y+vzy3+vz2yx+vzy2 _[6]=vz4+vz3u+vz2yx+vz3 _[7]=z3y3+z2y4+vz2y+z3y+vzy2+z2y2+vz2+vzu+vzx+vz _[8]=v2 > def R=nor[1][1]; > setring R; > normap; normap[1]=v normap[2]=z normap[3]=u normap[4]=y normap[5]=x > norid; norid[1]=T(1)*x+T(1)+T(2)*x+T(4)+T(5) norid[2]=T(3)*x+T(4)*x+T(6) norid[3]=T(1)*y+T(1)*x+T(3)+T(4) norid[4]=T(1)*u+T(4)+T(5) norid[5]=T(1)*x+T(1)+T(2)*u+T(2)*y+T(3)*y+T(3)*x norid[6]=T(1)*x+T(1)+T(2)*y+T(2)+T(3)*u+T(3)*x+T(3)+T(4)*y norid[7]=T(1)*x+T(1)+T(2)*y+T(2)+T(3)+T(4)*u+T(5)*y+T(5)*x+T(6) norid[8]=T(1)*z+T(1)*x+T(1)+T(3)*x+T(4)+T(5) norid[9]=T(1)*x+T(1)+T(2)*z+T(3)*y+T(3)*x+T(4)*y+T(4)+T(5) norid[10]=T(1)*x+T(1)+T(3)*z+T(3)*y+T(3)*x+T(4)+T(5)*y+T(5) norid[11]=T(2)*y+T(2)+T(3)*y+T(3)*x+T(3)+T(4)*z+T(5)*u+T(5)*x+T(6) norid[12]=T(1)*x+T(1)+T(2)*y+T(2)+T(3)*y+T(3)+T(4)+T(5)*z+T(5)*u+T(5)*x+T(5)+T(6)*y+T(6) norid[13]=T(1)*x+T(1)+T(2)*y+T(2)+T(3)*y*x+T(3)*x^2+T(3)*x+T(4)*y+T(5)*u+T(5)+T(6) norid[14]=T(1)*x+T(1)+T(2)*y+T(2)+T(3)*x+T(4)*y+T(5)*y*x+T(5)*x^2+T(5)*u+T(5)+T(6)*u+T(6)*y+T(6)*x+T(6) norid[15]=T(2)*y+T(2)+T(3)*x+T(3)+T(5)*u*x+T(5)*u+T(5)*y+T(5)*x+T(6)*z+T(6)*u+T(6)*y+T(6) norid[16]=T(1)*x+T(1)+T(3)*x+z*y*x+v^2+z^2+z*x+u*x norid[17]=T(1)*x^2+T(1)*x+T(2)*y^3+T(2)*y^2+T(2)*v+T(2)*y+T(2)+T(3)*x^3+T(3)*y^2+T(3)*x^2+T(3)*x+T(3)+T(4)*y^3+T(4)*v+T(4)*y+T(5)*u*y^2+T(5)*x^3+T(5)*u+T(5)*x+T(6)*u*y+T(6)*u*x+T(6)*x^2+T(6)+T(7)*v*u+T(7)*v*x+v^2*x+z^2*x+u*x^2+z^2+z*x norid[18]=T(1)*v*x^2+T(1)*x^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(2)*v^2+T(2)*v*y+T(2)*v+T(2)*y+T(2)+T(3)*v*y^2+T(3)*v*x^2+T(3)*v^2+T(3)*v*y+T(3)*x^2+T(3)*v+T(3)+T(5)*v*y^2+T(5)*x^3+T(5)*v*u+T(5)*x^2+T(5)*u+T(5)*y+T(6)*u*y+T(6)*y^2+T(6)*u*x+T(6)*x^2+T(6)*z+T(6)*y+T(6)*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*z*u+T(7)*z*x+T(7)*u*x+T(7)*z norid[19]=T(1)*x^3+T(1)*x^2+T(1)*x+T(1)+T(2)*y^2+T(2)*y+T(3)*y^3+T(3)*x^3+T(3)*y^2+T(3)*v+T(3)*y+T(3)*x+T(5)*y^3+T(5)*u*y+T(6)*z+T(6)*u+T(7)*v*y+z*u*y+z*y^2+v^2+z^2+z*y+z*x+u*x norid[20]=T(1)*x^2+T(1)*x+T(2)*y+T(2)+T(3)*y^2+T(3)*x^2+T(3)*y+T(3)+T(5)*y^2+T(5)*u+T(7)*v+z^2*y+z*y^2+z^2+z*u+z*x+z norid[21]=T(1)+T(3)*x+T(4)+T(5)+T(7)*x+v*z*y+v*y*x+v*u+v norid[22]=T(1)*x^2+T(1)*v+T(1)*x+T(2)*y+T(2)+T(3)*x^2+T(3)+T(4)*y+T(4)+T(5)*u+T(5)+v^2*y+v^2+z*x+u*x norid[23]=T(1)*v^2*x+T(1)*v^2+T(1)*x+T(1)+T(2)*v^2*y+T(2)*v^2+T(2)*v+T(3)*x^3+T(4)*y^3+T(4)*v^2+T(4)*y^2+T(4)*v+T(4)*y+T(4)+T(5)*y^3+T(5)*x^3+T(5)*y^2+T(5)*y+T(5)*x+T(5)+T(6)*y^3+T(6)*u*y+T(6)*y^2+T(6)*u*x+T(6)*x^2+T(6)+T(7)*z^2*y+T(7)*z*u*y+T(7)*u*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*z+v^2*x+z^2*x+u*x^2+z^2+z*x norid[24]=T(1)*v+T(2)*y+T(2)+T(3)*y^2+T(3)*y+T(3)+T(5)*y^2+T(5)*u+T(7)*v+z^2*u+z*y^2+v^2*x+z^2*x+z*x^2+u*x^2+z*u+z*x+z norid[25]=T(1)*v^2+T(1)*x^2+T(1)*x+T(2)*v^2+T(2)*y^2+T(2)*y+T(3)*y+T(4)*y+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*y+T(6)*y^2+T(6)*u+T(6)*x+T(7)*z^2+T(7)*z*u+T(7)*z*x+T(7)*u*x+v*z*u+v*u^2+v*z+v*u norid[26]=T(1)*x^3+T(1)*v+T(1)+T(2)*y^2+T(2)*v+T(2)+T(3)*x^3+T(3)*y^2+T(3)*x^2+T(3)*v+T(3)+T(4)*y^3+T(4)*v+T(4)*y+T(4)+T(5)*y^3+T(5)*u*y+T(5)*v+T(5)*u+T(5)*y+T(5)*x+T(5)+T(6)*y^3+T(6)*z+T(6)*u+T(6)+T(7)*v*z+T(7)*v*u+T(7)*v+v^2*u+z*u^2+z*y^2+v^2*x+u*y*x+u*x^2+v^2+z^2+z norid[27]=T(1)*x^3+T(1)*x+T(2)*y^2+T(2)*v+T(2)+T(3)*x^3+T(3)*x^2+T(3)*v+T(3)*y+T(3)+T(4)*y^3+T(4)*v+T(4)*y+T(5)*y^3+T(5)*u*y+T(5)*y^2+T(5)*v+T(5)*u+T(6)*y^3+T(6)*z+T(6)*u+T(6)*y+T(7)*v*z+T(7)*v*u+z^3+z*u^2+z^2*x+z*u*x+u*y*x+z*u norid[28]=T(1)*x^3+T(1)*x^2+T(1)*x+T(1)+T(2)*y^2+T(2)*y+T(3)*v^2+T(3)*x^2+T(3)*y+T(3)*x+T(4)*y+T(4)+T(5)*x^3+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*y+T(5)+T(6)*u*y+T(6)*u*x+T(6)*x^2+T(6)*z+T(6)*y+T(6)*x+T(6)+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*z*x+T(7)*y*x+T(7)*x^2+T(7)*z+v*z^2+v*u^2+v*u*y+v*z*x+v*u*x+v*u+v*y+v*x norid[29]=T(1)*x^2+T(1)*v+T(1)+T(2)*y^2+T(2)*v+T(2)*y+T(3)*x^3+T(3)*y^2+T(3)*v+T(4)*y^3+T(4)*v+T(4)*y+T(4)+T(5)*y^3+T(5)*x^3+T(5)*u*y+T(5)*x^2+T(5)*v+T(5)*x+T(5)+T(6)*y^3+T(6)*u*y+T(6)*y^2+T(6)*u*x+T(6)*x^2+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*v*z+T(7)*v*u+T(7)*v*x+T(7)*v+v^2*z+z*u^2+z*y^2+z^2*x+z*u*x+u*y*x+z*x^2+z^2+z norid[30]=T(1)*x^4+T(1)*x^3+T(1)*x^2+T(1)*v+T(1)*x+T(2)*y^2+T(2)*v+T(2)*y+T(3)*y^2+T(3)*v*x+T(3)*v+T(4)*y^3+T(4)*v+T(4)*y+T(5)*x^4+T(5)*y^3+T(5)*u*y+T(5)*x^2+T(5)*v+T(6)*u*y^2+T(6)*u*y*x+T(6)*y^2*x+T(6)*u*x^2+T(6)*y*x^2+T(6)*x^3+T(6)*z*u+T(6)*z*y+T(6)*u*y+T(6)*y^2+T(6)*z*x+T(6)*u*x+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(7)*v*y*x+T(7)*v*z+T(7)*v*u+T(7)*v+z*u^2+z*y^2+v^2*x+z*u*x+u^2*x+u*y*x+u*x^2+z^2+z*x+u*x+z norid[31]=T(1)*v*x^3+T(1)*x^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(2)*y^2+T(2)*v+T(2)+T(3)*v^2*y+T(3)*v^2*x+T(3)*v*x^2+T(3)*x^3+T(3)*v^2+T(3)*v*x+T(3)*x^2+T(3)*y+T(3)+T(4)*y^3+T(4)*v^2+T(4)*y^2+T(4)*v+T(4)*y+T(5)*v*x^3+T(5)*y^3+T(5)*v^2+T(5)*u*y+T(5)*v*x+T(5)*x^2+T(5)*u+T(6)*v*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*v*u*x+T(6)*y^2*x+T(6)*v*x^2+T(6)*v*z+T(6)*v*u+T(6)*v*y+T(6)*z*y+T(6)*y^2+T(6)*y*x+T(6)*v+T(6)*u+T(6)*x+T(7)*z^2*u+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*v^2*x+T(7)*u^2*x+T(7)*z*y*x+T(7)*u*x^2+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*u*x+v^2*x+z^2*x+u*x^2+z^2+z*x norid[32]=T(1)*x^3+T(1)*x^2+T(1)*v+T(2)*y+T(2)+T(3)*v^2*y+T(3)*v^2+T(3)*y^2+T(3)*v*x+T(3)*x^2+T(3)*v+T(3)*y+T(3)*x+T(3)+T(4)*y^2+T(5)*x^3+T(5)*x^2+T(5)*v+T(5)*u+T(5)*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*y*x^2+T(6)*z^2+T(6)*z*u+T(6)*u*y+T(6)*u*x+T(6)*x^2+T(6)*y+T(6)*x+T(6)+T(7)*z*y*x^2+T(7)*y^2*x^2+T(7)*y*x^3+T(7)*z^2*u+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*z^2*x+T(7)*z*u*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*z*x^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*v+z*u^2+z*y^2+z^2*x+z*u*x+u^2*x+u*y*x+u*x+z norid[33]=T(1)*x^3+T(1)*v*x+T(1)*x^2+T(1)*v+T(1)+T(2)*y^2+T(2)*y+T(3)*v^2+T(3)*v*x+T(3)*y+T(4)*y+T(4)+T(5)*x^3+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*y+T(5)*x+T(5)+T(6)*u*y+T(6)*u*x+T(6)*x^2+T(6)*z+T(6)*y+T(6)*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*z*x+T(7)*y*x+T(7)*z+v*y*x^2+v^3+v*u^2+v*u*y+v*u*x+v*u+v*y norid[34]=T(2)*v^2+T(2)*v+T(3)*v^2*x+T(3)*x^3+T(3)*x+T(4)*v^2*y+T(4)*y^3+T(4)*y^2+T(4)*v+T(5)*y^3+T(5)*x^3+T(5)*v^2+T(5)*y^2+T(5)*x+T(6)*z*y^2+T(6)*y^2*x+T(6)*y^2+T(6)*u*x+T(6)*x^2+T(6)*y+T(6)*x+T(6)+T(7)*z^3+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*z^2*x+T(7)*u^2*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*x^3+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*u*x+T(7)*z+v*u*x^2+v*u^2+v^2*x+v*z*x+z^2*x+v*y*x+v*x^2+u*x^2+z^2+v*u+z*x norid[35]=T(1)*v^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*v+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v+T(3)*v*y^2+T(3)*v*x^2+T(3)*v^2+T(3)*v*x+T(3)*v+T(3)*x+T(4)*v*y+T(4)*v+T(4)+T(5)*v*u*y+T(5)*v*x^2+T(5)*v*u+T(5)*v*y+T(5)*v*x+T(5)*x^2+T(5)*v+T(5)+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*u*y*x+T(6)*y*x^2+T(6)*z^2+T(6)*v*u+T(6)*z*u+T(6)*z*y+T(6)*u*y+T(6)*v*x+T(6)*y*x+T(6)*v+T(6)*z+T(6)*u+T(6)*x+T(7)*v*z^2+T(7)*v*z*u+T(7)*v*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*z+z^2*x^2+z*u*x^2+u^2*x^2+u*y*x^2+z*x^3+z*u*x+u^2*x+u*x^2+z*x+u*x norid[36]=T(1)*x^3+T(1)*v*x+T(1)*x^2+T(1)*v+T(2)*v^2+T(2)*y^2+T(2)*v+T(2)*y+T(3)*v^2*x+T(3)*x^3+T(3)*v*x+T(3)*x^2+T(3)*y+T(4)*v^2*y+T(4)*y^3+T(4)*v^2+T(4)*y^2+T(4)*v+T(4)*y+T(5)*y^3+T(5)*v^2+T(5)*u*y+T(5)*x^2+T(5)*y+T(6)*z*y^2+T(6)*y^2*x+T(6)*z*y+T(6)*y^2+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*z^3+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*z^2*x+T(7)*z*u*x+T(7)*u^2*x+T(7)*y^2*x+T(7)*z*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v*u+T(7)*v*x+T(7)*z*x+T(7)*y*x+T(7)*x^2+T(7)*z+v*z*x^2+v^3+v*u*y+v^2*x+z^2*x+u*x^2+z^2+v*y+v*x+z*x norid[37]=T(1)*v^3+T(1)*x^3+T(1)*v^2+T(1)*v+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*y^2+T(2)*y+T(3)*v*y^2+T(3)*v*x^2+T(3)*v^2+T(3)*y^2+T(3)*v*x+T(4)*y^3+T(4)*v*y+T(4)*v+T(4)*y+T(4)+T(5)*v*u*y+T(5)*y^3+T(5)*v*x^2+T(5)*x^3+T(5)*v*u+T(5)*v*y+T(5)*u*y+T(5)*v*x+T(5)*x^2+T(5)*v+T(5)*x+T(5)+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*u*y*x+T(6)*y^2*x+T(6)*z^2+T(6)*v*u+T(6)*u^2+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*u*x+T(6)*y*x+T(6)*x^2+T(6)*z+T(6)*y+T(6)*x+T(6)+T(7)*v*z^2+T(7)*v*z*u+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*v+T(7)*z+v^2*x^2+z*u*x^2+u^2*x^2+u*y*x^2+z*x^3+u*x^3+z*u^2+z*y^2+v^2*x+z^2*x+u*y*x+z*x^2+z^2+z norid[38]=T(1)*v^2*x+T(1)*x^3+T(1)*v^2+T(1)*v+T(1)*x+T(2)*y^2+T(2)*v+T(2)*y+T(3)*v^2*x+T(3)*x^3+T(3)*v^2+T(3)*y^2+T(3)*v*x+T(3)*x^2+T(3)*v+T(4)*v^2*y+T(4)*y^3+T(4)*v+T(4)*y+T(5)*v^2*y+T(5)*y^3+T(5)*v^2+T(5)*u*y+T(5)*v+T(6)*y^3*x+T(6)*z*y^2+T(6)*u*y^2+T(6)*u*y*x+T(6)*y^2*x+T(6)*z^2+T(6)*y^2+T(6)*z+T(6)*u+T(6)*y+T(7)*z^2*y*x+T(7)*z*u*y*x+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*y*x^3+T(7)*z^2*x+T(7)*z*u*x+T(7)*v*y*x+T(7)*v*z+T(7)*v*u+T(7)*z*x+T(7)*v+z*u^2+z*y^2+v^2*x+z*u*x+u^2*x+u*y*x+u*x^2+z^2+z*x+u*x+z norid[39]=T(1)*x^2+T(1)*v+T(1)*x+T(2)*v*y^2+T(2)*v^2+T(3)*v^3+T(3)*v^2*y+T(3)*v*y^2+T(3)*v^2*x+T(3)*v*x^2+T(3)*x^3+T(3)*v+T(3)*x+T(4)*y^3+T(4)*v^2+T(4)*v*y+T(4)*y^2+T(4)*y+T(5)*v*u*y+T(5)*y^3+T(5)*v*x^2+T(5)*x^3+T(5)*v^2+T(5)*v*u+T(5)*v*y+T(5)*y^2+T(5)*x^2+T(5)*v+T(5)*y+T(5)*x+T(6)*y^3*x+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*v*u+T(6)*z*y+T(6)*u*y+T(6)*y^2+T(6)*v*x+T(6)*u*x+T(6)*x^2+T(6)*v+T(6)*x+T(6)+T(7)*v*z*y*x+T(7)*v*y^2*x+T(7)*v*y*x^2+T(7)*z^2*u+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*v^2*x+T(7)*v*z*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*v*u+T(7)*z*x+T(7)*z+z*u*x^2+u^2*x^2+u*y*x^2+v^2*x+z*u*x+u^2*x+z*x^2+z^2+u*x norid[40]=T(1)*v*x^2+T(1)*x^3+T(1)*v*x+T(2)*v+T(2)*y+T(2)+T(3)*v^2*y+T(3)*v^2*x+T(3)*v*x^2+T(3)*x^3+T(3)*v^2+T(3)*x+T(3)+T(4)*y^3+T(4)*y^2+T(4)*v+T(5)*y^3+T(5)*v^2+T(5)*y^2+T(5)*u+T(5)*y+T(5)*x+T(6)*u*y^2+T(6)*y^2*x+T(6)*y^2+T(6)*y*x+T(6)*z+T(6)*u+T(6)*x+T(7)*z^2*u+T(7)*z*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*z*u*x+T(7)*u^2*x+T(7)*z*y*x+T(7)*u*y*x+T(7)*y*x^2+T(7)*x^3+T(7)*v*u+T(7)*v*x+T(7)*y*x+v^3*x+v*u^2*x+v*u*y*x+v*y^2*x+v*u^2+v*u*y+v^2*x+z^2*x+v*u*x+v*y*x+v*x^2+u*x^2+z^2+v*u+v*y+z*x norid[41]=T(1)*x^4+T(1)*x^3+T(1)*x^2+T(1)*v+T(1)*x+T(2)*y+T(2)+T(3)*y^4+T(3)*x^4+T(3)*y^3+T(3)*x^3+T(3)*v*y+T(3)*x^2+T(3)*x+T(3)+T(4)*y^3+T(4)*v+T(4)*y+T(5)*y^4+T(5)*x^3+T(5)*u+T(5)*x+T(6)*z*y+T(6)*z*x+T(6)*x^2+T(6)+T(7)*v*y^2+T(7)*v*u+T(7)*v*x+v^2*x+z^2*x+u*y*x+u*x^2+z*x norid[42]=T(1)*v^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*x+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v*y+T(2)*v+T(2)*y+T(2)+T(3)*y^4+T(3)*v*y^2+T(3)*y^3+T(3)*v*x^2+T(3)*v^2+T(3)*v*x+T(3)*v+T(3)+T(4)*y^4+T(4)*y^3+T(4)*y^2+T(4)*y+T(4)+T(5)*v*u*y+T(5)*v*x^2+T(5)*v*u+T(5)*y^2+T(5)*v*x+T(5)*x^2+T(5)*v+T(5)*u+T(5)+T(6)*y^4+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*u^2*x+T(6)*y^2*x+T(6)*z*x^2+T(6)*v*u+T(6)*u^2+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*u*x+T(6)*y*x+T(6)*v+T(6)*y+T(6)*x+T(7)*v*z^2+T(7)*v*z*u+T(7)*v*u^2+T(7)*v*u*y+T(7)*v*y^2+T(7)*v*z*x+T(7)*v*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*z+z*u^2*x+z*u*x^2+u*y*x^2+z*u^2+v^2*x+z*u*x+u*y*x+u*x^2+v^2+z^2+z*u+u*x norid[43]=T(1)*v^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*x+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(3)*y^4+T(3)*v*y^2+T(3)*y^3+T(3)*v*x^2+T(3)*v^2+T(3)*y^2+T(3)*v*x+T(3)*v+T(3)*y+T(4)*y^4+T(4)*y^3+T(4)*v*y+T(4)*y^2+T(4)*v+T(4)*y+T(4)+T(5)*v*u*y+T(5)*v*x^2+T(5)*x^2+T(5)*v+T(5)+T(6)*u*y^3+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*y^3+T(6)*v*u+T(6)*u*y+T(6)*y^2+T(6)*v*x+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(7)*v*z^2+T(7)*v*u^2+T(7)*v*u*y+T(7)*v*y^2+T(7)*v*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*v+T(7)*z+z*u^2*x+u*y*x^2+z*x^3+z*y^2+z*u*x+v^2+z^2+z*u+z*x+u*x+z norid[44]=T(1)*v^3+T(1)*x^3+T(1)*v^2+T(1)*x^2+T(1)*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v*y+T(2)*y^2+T(2)*y+T(3)*y^4+T(3)*v*y^2+T(3)*y^3+T(3)*v*x^2+T(3)*x^3+T(3)*v^2+T(3)*v*x+T(3)*x^2+T(3)*v+T(3)*y+T(3)*x+T(4)*y^4+T(4)*v*y+T(4)*y^2+T(4)+T(5)*v*u*y+T(5)*y^3+T(5)*v*x^2+T(5)*v*u+T(5)*v*y+T(5)*u*y+T(5)*v*x+T(5)*x^2+T(5)+T(6)*z*y^3+T(6)*y^3*x+T(6)*v*y^2+T(6)*y^3+T(6)*y^2*x+T(6)*y*x^2+T(6)*v*u+T(6)*z*u+T(6)*u^2+T(6)*v*y+T(6)*z*y+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*v+T(6)*u+T(6)*y+T(6)*x+T(7)*v*z*y+T(7)*v*u*y+T(7)*v*y^2+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*x+T(7)*u*x+T(7)*z+v^2*x+z*x^2+u*x^2 norid[45]=T(2)+T(3)*y+T(3)+T(4)*y+T(4)+T(5)+T(7)*u+v*y^3+v*y^2*x+v*u*y+v*z norid[46]=T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*v+T(1)*x+T(2)*y^2+T(2)+T(3)*v*y^3+T(3)*v^2*y+T(3)*v^2+T(3)*v*y+T(3)*v*x+T(3)*x^2+T(3)*y+T(3)+T(4)*v*y^3+T(4)*v^2*y+T(4)*v*y+T(4)*y+T(5)*v^2+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*u+T(6)*v*y^3+T(6)*z*y^2+T(6)*u*y^2+T(6)*v*y+T(6)*z*y+T(6)*z+T(6)*u+T(6)*x+T(7)*v^2*z+T(7)*z^3+T(7)*v^2*u+T(7)*z^2*u+T(7)*v^2*y+T(7)*z^2*x+T(7)*z*y*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*z*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*u*x+T(7)*x^2+T(7)*z+T(7)*x+v*u*y*x+v*y^2*x+v^3+v*y*x+v*u+v*x+v norid[47]=T(1)*x+T(1)+T(3)*x+T(4)*y+T(4)+T(5)*y+T(5)+T(7)*z+v*u*y^2+v*u^2+v*y^2+v*z*x+v*y*x+v*u norid[48]=T(1)+T(2)*v^2+T(2)*v+T(2)*y+T(2)+T(3)*v*y^3+T(3)*v^2*y+T(3)*x^3+T(3)*v*y+T(3)*x+T(3)+T(4)*v*y^3+T(4)*v^2*y+T(4)*y^3+T(4)*v*y+T(4)*y^2+T(4)*v+T(4)*y+T(4)+T(5)*v^2*u+T(5)*v^2*y+T(5)*y^3+T(5)*v^2*x+T(5)*x^3+T(5)*y^2+T(5)*u+T(5)+T(6)*v*u*y^2+T(6)*v*y^2*x+T(6)*y^3*x+T(6)*y^2*x^2+T(6)*v*u^2+T(6)*z^2*y+T(6)*v*u*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*v*z*x+T(6)*v*y*x+T(6)*z*y*x+T(6)*v*z+T(6)*v*u+T(6)*z*u+T(6)*v*y+T(6)*u*y+T(6)*z*x+T(6)*x^2+T(6)*z+T(7)*z^2*u*x+T(7)*z*u^2*x+T(7)*v^2*y*x+T(7)*v^2*x^2+T(7)*u^2*x^2+T(7)*u*y*x^2+T(7)*u*x^3+T(7)*v^2*z+T(7)*z^3+T(7)*v^2*u+T(7)*z^2*u+T(7)*v^2*y+T(7)*z^2*y+T(7)*z*u*y+T(7)*z*u*x+T(7)*z*y*x+T(7)*z*x^2+T(7)*u*x^2+T(7)*v^2+T(7)*v*u+T(7)*v*x+T(7)*z*x+T(7)*x+v*u^2+v^2*x+v*z*x+z^2*x+v*y*x+u*x^2+z^2+z*x+v norid[49]=T(1)*v^3+T(1)*x^3+T(1)*v^2+T(1)*x^2+T(1)*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v*y+T(2)*y^2+T(2)*y+T(3)*y^4+T(3)*v^3+T(3)*v*y^2+T(3)*y^3+T(3)*v*x^2+T(3)*x^3+T(3)*v^2+T(3)*v*x+T(3)*x^2+T(3)*v+T(3)*y+T(3)*x+T(4)*y^4+T(4)*v^3+T(4)*v*y+T(4)*y^2+T(4)+T(5)*v*u*y+T(5)*y^3+T(5)*v*x^2+T(5)*v*u+T(5)*v*y+T(5)*u*y+T(5)*v*x+T(5)*x^2+T(5)+T(6)*z^2*y^2+T(6)*z*u*y*x+T(6)*z*y^2*x+T(6)*u*y^2*x+T(6)*y^3*x+T(6)*z^3+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*y^2*x+T(6)*y*x^2+T(6)*v*z+T(6)*z*u+T(6)*u^2+T(6)*v*y+T(6)*z*y+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*v+T(6)*u+T(6)*y+T(6)*x+T(7)*v*z*y+T(7)*v*u*y+T(7)*v*y^2+T(7)*z*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*x+T(7)*u*x+T(7)*z+v^2*x+z*x^2+u*x^2 norid[50]=T(1)*v^2*x+T(1)*x+T(1)+T(2)*y+T(2)+T(3)*v*y^3+T(3)*v^2*y+T(3)*v^2+T(3)*v*y+T(3)*x+T(3)+T(4)*v*y^3+T(4)*v^2+T(4)*v*y+T(4)*y+T(4)+T(5)*v^2*u+T(5)*v^2*y+T(5)*v^2+T(5)*u+T(5)+T(6)*v*z*y^2+T(6)*v*u^2*x+T(6)*v*z*y*x+T(6)*v*u*y*x+T(6)*v*y^2*x+T(6)*z*y^2*x+T(6)*v*z*x^2+T(6)*v*y*x^2+T(6)*y^2*x^2+T(6)*v*z^2+T(6)*v*z*u+T(6)*v^2*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*z*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*v*u*x+T(6)*u*y*x+T(6)*v^2+T(6)*u^2+T(6)*z*y+T(6)*u*y+T(6)*y^2+T(6)*z*x+T(6)*u*x+T(7)*z^3*x+T(7)*v^2*u*x+T(7)*z*u^2*x+T(7)*u^3*x+T(7)*v^2*y*x+T(7)*u^2*y*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*u*x^3+T(7)*y*x^3+T(7)*v^2*z+T(7)*z^3+T(7)*v^2*u+T(7)*z^2*u+T(7)*v^2*y+T(7)*z^2*y+T(7)*z*u*y+T(7)*v^2*x+T(7)*z*u*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*z*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z*y+T(7)*z+v*u^2*x+v*u^2+v*u*x+v*u norid[51]=T(1)*v^3+T(1)*v^2*x+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v*y+T(2)*v+T(3)*v^2*y^2+T(3)*v^2*x^2+T(3)*v^2*y+T(3)*v*y^2+T(3)*v^2*x+T(3)*v*x^2+T(3)*v^2+T(3)*v*y+T(3)*v*x+T(3)*x^2+T(4)*v^2+T(4)*y^2+T(4)*v+T(4)*y+T(4)+T(5)*v^2*u+T(5)*v^2*y+T(5)*v*u*y+T(5)*v*x^2+T(5)*y^2+T(5)*x^2+T(5)*y+T(5)*x+T(5)+T(6)*y^3*x+T(6)*y^2*x^2+T(6)*z*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*v^2+T(6)*v*u+T(6)*u*y+T(6)*y^2+T(6)*v*x+T(6)*z+T(6)*u+T(6)*x+T(7)*z^2*u*y+T(7)*z*u^2*y+T(7)*z^2*y^2+T(7)*z*u*y^2+T(7)*z*u*y*x+T(7)*u^2*y*x+T(7)*u*y^2*x+T(7)*y^3*x+T(7)*y^2*x^2+T(7)*v*z^2+T(7)*z^3+T(7)*z^2*u+T(7)*v*u^2+T(7)*z^2*y+T(7)*z*u*y+T(7)*v*u*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*z*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*y+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*y*x+T(7)*z+z*u^2*x+v*y^2*x+z*x^3+v^3+z*u^2+v*u*y+v^2*x+v*u*x+z*u*x+u^2*x+u*x^2+z^2+z*u+v*y+z*x+u*x norid[52]=T(1)*v^3+T(1)*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(3)*v^2*x^2+T(3)*v*y^2+T(3)*v*x^2+T(3)*v^2+T(3)*v*y+T(3)*y^2+T(3)*v*x+T(3)*x^2+T(3)*y+T(3)*x+T(4)*v^2*y^2+T(4)*v^2*y+T(4)*v+T(5)*v^2*u+T(5)*v*u*y+T(5)*v*x^2+T(5)*v^2+T(5)*v*u+T(5)*v*y+T(5)*y^2+T(5)*v*x+T(5)*v+T(5)*y+T(6)*y^3*x+T(6)*v*y^2+T(6)*u*y^2+T(6)*v^2+T(6)*v*u+T(6)*u^2+T(6)*v*y+T(6)*z*y+T(6)*v*x+T(6)*z*x+T(6)*v+T(6)*u+T(6)*y+T(7)*z^3*y+T(7)*z*u^2*y+T(7)*z^2*y^2+T(7)*z*u*y^2+T(7)*z*u*y*x+T(7)*u^2*y*x+T(7)*z*y^2*x+T(7)*u*y^2*x+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*y*x^3+T(7)*z^3+T(7)*z^2*u+T(7)*v*z*y+T(7)*z^2*y+T(7)*z*u*y+T(7)*z^2*x+T(7)*z*u*x+T(7)*u^2*x+T(7)*u*y*x+T(7)*z*x^2+T(7)*v^2+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*x^2+T(7)*v+T(7)*x+v*u*y*x+v*y^2*x+u*y*x^2+v^3+z*u^2+z*y^2+v^2*x+z^2*x+u^2*x+v*y*x+z*x^2+u*x^2+v^2+z^2+v*u+v*x+z*x+v+z norid[53]=T(1)*v^2*x^2+T(1)*v*x^2+T(1)*x^3+T(1)*v^2+T(1)*x^2+T(1)*x+T(2)*v^2+T(3)*v^2*y^2+T(3)*v*y^3+T(3)*y^4+T(3)*y^3+T(3)*x^3+T(3)*v^2+T(3)*v*y+T(3)*v*x+T(3)*v+T(3)*x+T(4)*v^2*y^2+T(4)*v*y^3+T(4)*y^4+T(4)*v^2*y+T(4)*v*y+T(4)*y^2+T(4)*v+T(4)*y+T(5)*v^2*x^2+T(5)*v^2*u+T(5)*v^2*y+T(5)*y^3+T(5)*v^2*x+T(5)*v*x^2+T(5)*v^2+T(5)*v*u+T(5)*v*y+T(5)*y^2+T(5)*x^2+T(5)*v+T(5)*y+T(5)*x+T(6)*v*u^2*y+T(6)*z*u*y^2+T(6)*v*z*y*x+T(6)*v*u*y*x+T(6)*v*y^2*x+T(6)*y^3*x+T(6)*v*y*x^2+T(6)*v*z^2+T(6)*v^2*u+T(6)*v*z*u+T(6)*v*u^2+T(6)*v^2*y+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u*y^2+T(6)*v^2*x+T(6)*v*z*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*v^2+T(6)*v*y+T(6)*v*x+T(6)*u*x+T(6)*y*x+T(6)*v+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*z^3*u+T(7)*z^2*u^2+T(7)*z^3*x+T(7)*v^2*u*x+T(7)*v^2*y*x+T(7)*u^2*y*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*z^2*x^2+T(7)*z*u*x^2+T(7)*u^2*x^2+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*z*x^3+T(7)*u*x^3+T(7)*v^3+T(7)*v^2*z+T(7)*v*z^2+T(7)*z^3+T(7)*v^2*u+T(7)*v*z*u+T(7)*z^2*u+T(7)*v^2*y+T(7)*v*z*y+T(7)*z^2*y+T(7)*v*u*y+T(7)*z*u*y+T(7)*v*y^2+T(7)*v^2*x+T(7)*v*u*x+T(7)*z*u*x+T(7)*v*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*z*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z*y+T(7)*v*x+T(7)*u*x+T(7)*x^2+T(7)*z+v*u^3+v*u^2*y+v*u^2*x+v*u*y*x+v*y^2*x+z*u*x^2+u^2*x^2+u*y*x^2+v^3+v*u^2+v*u*y+v^2*x+v*z*x+z^2*x+v*u*x+z*u*x+u^2*x+v*x+z*x+u*x norid[54]=T(1)*v*x^2+T(1)*x^3+T(1)*v*x+T(1)*v+T(1)*x+T(2)*y^2+T(2)*v+T(2)+T(3)*v^3*y+T(3)*y^4+T(3)*v^3*x+T(3)*v^3+T(3)*v^2*y+T(3)*v*y^2+T(3)*y^3+T(3)*v^2+T(3)*v*y+T(3)*y+T(3)+T(4)*y^4+T(4)*v*y^2+T(4)*y^3+T(4)*v^2+T(4)*y^2+T(4)*y+T(4)+T(5)*v^2*u+T(5)*v^2*y+T(5)*v^2*x+T(5)*v*x^2+T(5)*x^3+T(5)*v^2+T(5)*v*u+T(5)*u*y+T(5)*v+T(5)*u+T(5)+T(6)*z*u^2*y+T(6)*z^2*y*x+T(6)*z*u*y*x+T(6)*v*y^2*x+T(6)*z*y^2*x+T(6)*y^3*x+T(6)*z*y*x^2+T(6)*u*y*x^2+T(6)*y*x^3+T(6)*z^3+T(6)*z^2*u+T(6)*v*u^2+T(6)*z*u^2+T(6)*z^2*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*v*z*x+T(6)*z*u*x+T(6)*u*y*x+T(6)*v*u+T(6)*x^2+T(6)*u+T(6)*y+T(6)+T(7)*v*z^2*u+T(7)*v*z*u^2+T(7)*v*z^2*y+T(7)*v*z*u*y+T(7)*v*z^2*x+T(7)*z^2*u*x+T(7)*v*u^2*x+T(7)*z*u^2*x+T(7)*v^2*y*x+T(7)*v*y^2*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*u^2*x^2+T(7)*v*y*x^2+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*u*x^3+T(7)*v^2*z+T(7)*v*z*u+T(7)*v*u^2+T(7)*z^2*y+T(7)*v*u*y+T(7)*z*u*y+T(7)*v*y^2+T(7)*v*z*x+T(7)*v*u*x+T(7)*v*y*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*y+T(7)*z*x+T(7)*y*x+T(7)*z+T(7)*x+z*u^3+z*y^3+z*u^2*x+u^3*x+u^2*y*x+v*y^2*x+u*y*x^2+z*x^3+v^3+v*u^2+v*u*y+z*y^2+v^2*x+v*z*x+v*u*x+u^2*x+v*y*x+u*y*x+u*x^2+v^2+z*u+v*y+z*x+u*x+v norid[55]=T(1)*v^3+T(1)*v^2*x+T(1)*x^3+T(1)*v^2+T(1)*v+T(1)*x+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*y^2+T(2)*v+T(2)*y+T(3)*v^2*x^2+T(3)*v^3+T(3)*v^2*y+T(3)*v*y^2+T(3)*v^2*x+T(3)*v*x^2+T(3)*x^3+T(3)*v*y+T(3)*y^2+T(4)*v^2*y^2+T(4)*v^3+T(4)*y^3+T(4)*v^2+T(4)*v*y+T(4)*y^2+T(4)*v+T(4)*y+T(5)*v^2*u*y+T(5)*v*u*y+T(5)*y^3+T(5)*v*x^2+T(5)*v*u+T(5)*u*y+T(5)*y^2+T(5)*v*x+T(5)*x^2+T(6)*z*u*y*x+T(6)*z*y^2*x+T(6)*u*y^2*x+T(6)*z^3+T(6)*v^2*y+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*y^3+T(6)*u^2*x+T(6)*z*x^2+T(6)*y*x^2+T(6)*v*z+T(6)*z*u+T(6)*z*y+T(6)*v*x+T(6)*u*x+T(6)*y*x+T(6)*v+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*z^4+T(7)*z^2*u^2+T(7)*z^2*y^2+T(7)*z*u*y^2+T(7)*u*y^2*x+T(7)*y^3*x+T(7)*u^2*x^2+T(7)*u*y*x^2+T(7)*z*x^3+T(7)*y*x^3+T(7)*v*z^2+T(7)*z^3+T(7)*v*z*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*v*z*x+T(7)*z^2*x+T(7)*v*u*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*v^2+T(7)*v*u+T(7)*z*y+T(7)*z*x+T(7)*u*x+T(7)*y*x+T(7)*x^2+T(7)*v+v*u^3+v*u^2*x+z*u^2*x+z*u*x^2+v*u^2+v*u*y+z*y^2+v^2*x+z^2*x+z*u*x+u^2*x+u*y*x+u*x^2+z*u+v*y+v*x+z*x+u*x+z norid[56]=T(1)*v^2*x+T(1)*v*x^2+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*x+T(1)+T(2)*v^3+T(2)*v^2+T(2)*v*y+T(2)*y+T(2)+T(3)*y^4+T(3)*v^3*x+T(3)*v^3+T(3)*v*y^2+T(3)*y^3+T(3)*v^2*x+T(3)*v^2+T(3)*v*y+T(3)*v*x+T(3)*v+T(3)*y+T(3)*x+T(3)+T(4)*v^3*y+T(4)*y^4+T(4)*v^2*y+T(4)*v*y^2+T(4)*y^3+T(4)*v^2+T(4)*y^2+T(4)+T(5)*v^3+T(5)*v^2*u+T(5)*v^2*y+T(5)*v*x^2+T(5)*v^2+T(5)*u^2+T(5)*v*y+T(5)*y^2+T(5)*v+T(5)+T(6)*z*u*y^2+T(6)*v*u^2*x+T(6)*v*z*y*x+T(6)*v*u*y*x+T(6)*u*y^2*x+T(6)*v*z*x^2+T(6)*v*y*x^2+T(6)*y^2*x^2+T(6)*y*x^3+T(6)*v*z^2+T(6)*v*z*u+T(6)*v^2*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*v*u*x+T(6)*z*u*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*v^2+T(6)*u^2+T(6)*z*y+T(6)*u*y+T(6)*v*x+T(6)*u*x+T(6)*u+T(6)+T(7)*v*z^3+T(7)*v*z*u^2+T(7)*v*z^2*y+T(7)*v*z*u*y+T(7)*v*z^2*x+T(7)*z^3*x+T(7)*v^2*u*x+T(7)*v*u^2*x+T(7)*z*u^2*x+T(7)*u^3*x+T(7)*v^2*y*x+T(7)*v*u*y*x+T(7)*u^2*y*x+T(7)*v*y^2*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*v*y*x^2+T(7)*y^2*x^2+T(7)*u*x^3+T(7)*y*x^3+T(7)*v^2*z+T(7)*v*z*u+T(7)*z^2*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*v*u*y+T(7)*v*y^2+T(7)*v*z*x+T(7)*v*u*x+T(7)*u^2*x+T(7)*v*x^2+T(7)*v^2+T(7)*v*z+T(7)*u*x+T(7)*y*x+T(7)*v+z*u^3+z*y^3+v*u^2*x+z*u^2*x+u^2*y*x+v*y^2*x+z*u*x^2+z*x^3+v^3+v*u^2+v*u*y+z*x^2+z^2+v*u+v*y+z*x+z norid[57]=T(1)*x^4+T(1)*v^3+T(1)*v^2*x+T(1)*v*x^2+T(1)*x^3+T(1)*v+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*y^2+T(2)*v+T(2)*y+T(3)*x^4+T(3)*v*y^2+T(3)*v^2*x+T(3)*v^2+T(3)*x^2+T(3)*v+T(4)*v*y+T(4)*v+T(5)*v*u*y+T(5)*v*x^2+T(5)*v*u+T(5)*u^2+T(5)*v*y+T(5)*u*y+T(5)*y^2+T(5)*v*x+T(5)*x^2+T(5)*u+T(5)*y+T(6)*y^3*x+T(6)*u^2*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*y^3+T(6)*u^2*x+T(6)*u*y*x+T(6)*z*x^2+T(6)*y*x^2+T(6)*z^2+T(6)*v*u+T(6)*z*u+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*u+T(6)*y+T(6)*x+T(7)*v*z^2+T(7)*v*z*u+T(7)*v*u^2+T(7)*v*z*y+T(7)*v*z*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*v+T(7)*z+v^4+z*u^3+z*y^3+u^2*y*x+z*u*x^2+u^2*x^2+z*x^3+z*u^2+z^2*x+z*u*x+u^2*x+z*x^2+z*u+u*x+z norid[58]=T(1)*v^4+T(1)*v^2*x^2+T(1)*v*x^2+T(1)*v^2+T(1)*x^2+T(1)+T(2)*v^4+T(2)*v+T(3)*v^2*y^2+T(3)*v*y^3+T(3)*v^2*x^2+T(3)*v^2*y+T(3)*v^2*x+T(3)*v^2+T(3)*x^2+T(3)*x+T(4)*v*y^3+T(4)*v^2*y+T(4)*v^2+T(4)*v*y+T(4)*y^2+T(4)+T(5)*v^2*u*y+T(5)*v^2*x^2+T(5)*v^2*u+T(5)*v^2*y+T(5)*v*x^2+T(5)*v*y+T(5)*y^2+T(5)*v*x+T(5)*v+T(5)+T(6)*v*u^2*y+T(6)*v^2*y^2+T(6)*v*z*y*x+T(6)*v*u*y*x+T(6)*z*y^2*x+T(6)*y^2*x^2+T(6)*v*z^2+T(6)*v^2*u+T(6)*v*u^2+T(6)*v^2*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*u*y^2+T(6)*v^2*x+T(6)*v*z*x+T(6)*u^2*x+T(6)*v*y*x+T(6)*y^2*x+T(6)*z*x^2+T(6)*y*x^2+T(6)*v^2+T(6)*v*z+T(6)*z*u+T(6)*u^2+T(6)*u*y+T(6)*y^2+T(6)*v*x+T(6)+T(7)*v^2*z^2+T(7)*v^2*z*u+T(7)*z^2*y^2+T(7)*z*u*y^2+T(7)*v^2*z*x+T(7)*z^3*x+T(7)*z^2*u*x+T(7)*v^2*y*x+T(7)*z*u*y*x+T(7)*u^2*y*x+T(7)*u*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*z^2*x^2+T(7)*z*u*x^2+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*z*x^3+T(7)*u*x^3+T(7)*v^3+T(7)*v^2*z+T(7)*v^2*u+T(7)*v*u^2+T(7)*v^2*y+T(7)*v^2*x+T(7)*v*z*x+T(7)*z^2*x+T(7)*z*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*z*y+T(7)*v*x+T(7)*u*x+T(7)*y*x+T(7)*x^2+T(7)*z+v*u^2*y+z*u^2*x+u^2*x^2+u*y*x^2+v*u^2+z*u^2+v*u*x+z*u*x+u^2*x+z*x^2+u*x^2+z^2+v*u+z*u+v*y+v*x+z*x+u*x norid[59]=T(1)*x^5+T(1)*v*x^3+T(1)*v^2+T(1)*v*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v+T(2)*y+T(2)+T(3)*x^5+T(3)*v*x^3+T(3)*x^4+T(3)*v*y^2+T(3)*v*x^2+T(3)*v^2+T(3)*y^2+T(3)*v+T(3)*y+T(3)+T(4)*v*y+T(4)*v+T(4)+T(5)*v*u*y+T(5)*v*x^2+T(5)*x^3+T(5)*v*u+T(5)*v*y+T(5)*y^2+T(5)*x^2+T(5)*v+T(5)*u+T(5)*x+T(5)+T(6)*u*y*x^2+T(6)*y*x^3+T(6)*z*u*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*z^2*x+T(6)*z*u*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*z*x^2+T(6)*u*x^2+T(6)*y*x^2+T(6)*v*z+T(6)*z*u+T(6)*u^2+T(6)*u*y+T(6)*y^2+T(6)*v*x+T(6)*z*x+T(6)*x^2+T(6)*v+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*v*y*x^2+T(7)*v*z^2+T(7)*v*z*u+T(7)*v*z*x+T(7)*v*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*z*u+T(7)*z*x+T(7)*u*x+T(7)*v+T(7)*z+z*u^2*x+z*x^3+z*y^2+z*u*x+u^2*x+u*y*x+z*u+z*x+u*x+z norid[60]=T(1)*v*x^2+T(1)*v*x+T(1)*x^2+T(1)+T(2)*v*y^2+T(2)*v^2+T(2)*v*y+T(2)*y^2+T(2)+T(3)*y^4+T(3)*v^3+T(3)*v^2*y+T(3)*v*y^2+T(3)*y^3+T(3)*v^2*x+T(3)*x^3+T(3)+T(4)*y^4+T(4)*v^2+T(4)*v*y+T(4)+T(5)*v*u*y+T(5)*y^3+T(5)*x^3+T(5)*v^2+T(5)*v*u+T(5)*u^2+T(5)*v*y+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*x+T(5)+T(6)*y*x^4+T(6)*z*u*y^2+T(6)*z*u*y*x+T(6)*z*y^2*x+T(6)*y^3*x+T(6)*z*u*x^2+T(6)*z*y*x^2+T(6)*u*y*x^2+T(6)*y^2*x^2+T(6)*y*x^3+T(6)*z^2*u+T(6)*u^2*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*z^2*x+T(6)*z*u*x+T(6)*u^2*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*y*x^2+T(6)*z*u+T(6)*u^2+T(6)*u*y+T(6)*y^2+T(6)*y*x+T(6)*x^2+T(6)*u+T(6)*x+T(6)+T(7)*v*y^2*x+T(7)*v*z^2+T(7)*v*z*u+T(7)*z^2*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*z^2*y+T(7)*v*u*y+T(7)*z*u*y+T(7)*v*y^2+T(7)*v^2*x+T(7)*v*z*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*v*u+T(7)*z*x+T(7)*v+T(7)*z+z*u^3+z*y^3+z*u^2*x+u^2*y*x+z*u*x^2+u^2*x^2+u*y*x^2+z^2*x+z*u*x+u^2*x+u*y*x+u*x^2+z^2+z*x+u*x+z norid[61]=T(1)*v^3+T(4)*v^3+T(5)*v^3+T(6)*z*y*x^3+T(6)*z^2*u*y+T(6)*z*u*y^2+T(6)*z^2*u*x+T(6)*v*y^2*x+T(6)*v*z*y+T(6)*z^2*y+T(6)*z^2*x+T(6)*v*y*x+T(6)*v*z norid[62]=T(1)*x^3+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)+T(2)*v^2+T(3)*v^2*y+T(3)*v^2*x+T(3)*v^2+T(3)*y^2+T(3)*v+T(3)*y+T(3)*x+T(4)*v^2*y+T(4)*y^2+T(4)*y+T(4)+T(5)*v^2*u+T(5)*v^2*y+T(5)*v^2*x+T(5)*x^3+T(5)*v^2+T(5)*x^2+T(5)*v+T(5)+T(6)*v*y*x^3+T(6)*v*z*u*y+T(6)*v*u^2*y+T(6)*v*z*u*x+T(6)*v*u^2*x+T(6)*v*u*y*x+T(6)*v*y^2*x+T(6)*y^3*x+T(6)*v*z*x^2+T(6)*v*y*x^2+T(6)*v*z^2+T(6)*v*z*u+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*u^2*y+T(6)*y^3+T(6)*v*z*x+T(6)*v*u*x+T(6)*v*y*x+T(6)*z*y*x+T(6)*y^2*x+T(6)*v^2+T(6)*z^2+T(6)*z*x+T(6)*x^2+T(6)*z+T(6)*u+T(6)*y+T(6)*x+T(6)+T(7)*v^2*z*x+T(7)*z^2*u*x+T(7)*z*u^2*x+T(7)*u^3*x+T(7)*z*u*y*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*z^2*x^2+T(7)*z*x^3+T(7)*u*x^3+T(7)*y*x^3+T(7)*z^3+T(7)*z*u^2+T(7)*z*u*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*u*x^2+T(7)*y*x^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*y+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*y*x+T(7)*v+T(7)*z+v*u^2*y+v*u^2*x+v*u*y*x+v*y^2*x+v^3+v*u^2+z*u^2+z*y^2+v*z*x+z^2*x+z*u*x+u^2*x+u*y*x+v*u+v*y+u*x+z norid[63]=T(1)*v^3+T(1)*v*x^2+T(1)*v^2+T(1)*v*x+T(1)*x^2+T(1)*x+T(2)*v^3+T(2)*v*y^2+T(2)*v^2+T(2)*v*y+T(2)*y^2+T(2)*v+T(2)*y+T(3)*y^4+T(3)*v^3+T(3)*v*y^2+T(3)*y^3+T(3)*v^2+T(3)*y^2+T(3)*y+T(4)*y^4+T(4)*v^3+T(4)*y^3+T(4)*v*y+T(4)*y^2+T(4)*v+T(4)*y+T(5)*v*u*y+T(5)*v*u+T(5)*u^2+T(5)*v*y+T(5)*u*y+T(5)*y^2+T(5)*x^2+T(5)*u+T(5)*y+T(6)*y^2*x^3+T(6)*z*u*y^2+T(6)*z*u*y*x+T(6)*y^3*x+T(6)*z*y*x^2+T(6)*y^2*x^2+T(6)*y*x^3+T(6)*z^2*u+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*v*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*z*u*x+T(6)*u^2*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*z*x^2+T(6)*y*x^2+T(6)*v*u+T(6)*u^2+T(6)*v*y+T(6)*z*x+T(6)*u*x+T(6)*y*x+T(6)*x+T(7)*v*z*u*x+T(7)*v*z*x^2+T(7)*v*x^3+T(7)*v*z*y+T(7)*v*u*y+T(7)*v*y^2+T(7)*v*z*x+T(7)*v*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*v*x+T(7)*z*x+T(7)*u*x+T(7)*z+z*u*x^3+u^2*x^3+u*y*x^3+z*u^3+z*y^3+z*u^2*x+u^2*y*x+u^2*x^2+z*x^3+u*x^3+z*u^2+z*y^2+z*u*x+u^2*x+u*y*x+z*x^2+u*x^2+z^2+z*x+u*x norid[64]=T(1)*v^2*x+T(1)*x^3+T(1)*v*x+T(2)*v^2+T(2)*y^2+T(2)*v+T(2)*y+T(3)*v*y^3+T(3)*x^3+T(3)*v^2+T(3)*v*y+T(3)*y^2+T(3)*v+T(3)*x+T(4)*v*y^3+T(4)*y^3+T(4)*v*y+T(4)*v+T(4)*y+T(5)*y^3+T(5)*v^2*x+T(5)*v^2+T(5)*u*y+T(5)*v+T(5)*x+T(6)*v*u*y*x^2+T(6)*v*y^2*x^2+T(6)*y^3*x^2+T(6)*y^2*x^3+T(6)*v*z*u^2+T(6)*v*z*y*x+T(6)*z^2*y*x+T(6)*v*y^2*x+T(6)*z*y^2*x+T(6)*y^3*x+T(6)*v*y*x^2+T(6)*z*y*x^2+T(6)*y^2*x^2+T(6)*v^2*z+T(6)*v*z^2+T(6)*v*z*u+T(6)*v*u^2+T(6)*v^2*y+T(6)*v*z*y+T(6)*z^2*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*z*y^2+T(6)*u*y^2+T(6)*v^2*x+T(6)*z*u*x+T(6)*v*y*x+T(6)*z*y*x+T(6)*z*x^2+T(6)*u*x^2+T(6)*v*u+T(6)*u^2+T(6)*u*y+T(6)*y^2+T(6)*z+T(6)*u+T(6)*y+T(6)+T(7)*z^2*u*x^2+T(7)*z*u^2*x^2+T(7)*v^2*y*x^2+T(7)*v^2*x^3+T(7)*u^2*x^3+T(7)*u*y*x^3+T(7)*u*x^4+T(7)*v^2*z*x+T(7)*z^3*x+T(7)*v^2*u*x+T(7)*z^2*u*x+T(7)*u^3*x+T(7)*v^2*y*x+T(7)*u^2*y*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*u^2*x^2+T(7)*u*y*x^2+T(7)*u*x^3+T(7)*y*x^3+T(7)*v^2*z+T(7)*z^3+T(7)*v^2*u+T(7)*z*u^2+T(7)*v^2*y+T(7)*z^2*y+T(7)*z*u*y+T(7)*v^2*x+T(7)*z^2*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*v^2+T(7)*v*z+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*z*y+T(7)*z*x+T(7)*x^2+T(7)*v+v*u^2*x+v*u*y*x+v*y^2*x+v^3+z*u^2+z*y^2+v^2*x+v*z*x+v*u*x+z*u*x+u^2*x+u*y*x+u*x^2+z^2+v*x+z*x+u*x+z norid[65]=T(1)*v^2*x^2+T(1)*v^3+T(1)*x+T(1)+T(2)*v^3+T(2)*v*y^2+T(2)*v+T(3)*v^2*y+T(3)*v*y^2+T(3)*v^2*x+T(3)*v^2+T(3)*y^2+T(3)*x^2+T(3)*v+T(3)*y+T(3)*x+T(4)*v^2+T(4)*v*y+T(4)*v+T(4)+T(5)*v^2*x^2+T(5)*v^2*y+T(5)*v*u*y+T(5)*v^2*x+T(5)*v*x^2+T(5)*v*u+T(5)*v*y+T(5)*y^2+T(5)*x^2+T(5)*v+T(5)*y+T(5)+T(6)*v*u^2*x^2+T(6)*z*y^2*x^2+T(6)*y^3*x^2+T(6)*v*z*x^3+T(6)*v*z^2*u+T(6)*v*z*u^2+T(6)*v*z^2*y+T(6)*v*u^2*y+T(6)*v*z^2*x+T(6)*v^2*y*x+T(6)*v*z*y*x+T(6)*u^2*y*x+T(6)*v*y^2*x+T(6)*y^3*x+T(6)*v*u*x^2+T(6)*v*y*x^2+T(6)*z*y*x^2+T(6)*u*y*x^2+T(6)*y^2*x^2+T(6)*y*x^3+T(6)*v^2*z+T(6)*v*z^2+T(6)*z^2*u+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*z*y^2+T(6)*y^3+T(6)*v*z*x+T(6)*z*u*x+T(6)*u^2*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*z*x^2+T(6)*u*x^2+T(6)*v*u+T(6)*u^2+T(6)*z*y+T(6)*y^2+T(6)*v*x+T(6)*v+T(6)*z+T(6)*u+T(6)*x+T(6)+T(7)*z^3*x^2+T(7)*v^2*u*x^2+T(7)*z*u^2*x^2+T(7)*u^3*x^2+T(7)*v^2*y*x^2+T(7)*u^2*y*x^2+T(7)*u*y^2*x^2+T(7)*y^3*x^2+T(7)*v^2*x^3+T(7)*u*x^4+T(7)*y*x^4+T(7)*v^2*z*x+T(7)*z^3*x+T(7)*z^2*u*x+T(7)*z^2*x^2+T(7)*z*u*x^2+T(7)*v*y*x^2+T(7)*u*y*x^2+T(7)*z*x^3+T(7)*u*x^3+T(7)*v*z^2+T(7)*z^3+T(7)*v*z*u+T(7)*z^2*u+T(7)*v*z*x+T(7)*z^2*x+T(7)*v*u*x+T(7)*z*u*x+T(7)*v*y*x+T(7)*z*y*x+T(7)*v*x^2+T(7)*z*x^2+T(7)*v^2+T(7)*y*x+T(7)*x^2+T(7)*v+v*u^2*x+z*u^2*x+v*u*y*x+z*x^3+v*u*y+z*y^2+v*z*x+z*u*x+u^2*x+u*y*x+z*u+v*y+v*x+z*x+u*x+z norid[66]=T(1)*v^3+T(1)*v*x^2+T(1)*v*x+T(1)*x^2+T(1)*v+T(1)*x+T(1)+T(2)*v^3+T(2)*v^2+T(2)*y^2+T(2)+T(3)*v*y^3+T(3)*v^2*x^2+T(3)*v^2+T(3)*v*y+T(3)*x^2+T(3)*y+T(3)+T(4)*v^4+T(4)*v*y^3+T(4)*v^2+T(4)*v+T(4)*y+T(5)*v*x^2+T(5)*v^2+T(5)*v*y+T(5)*u*y+T(5)*y^2+T(5)*v*x+T(5)*x^2+T(5)*u+T(5)*x+T(6)*v*z*u^2*x+T(6)*v*z^2*y*x+T(6)*v*z^2*x^2+T(6)*v*z*y*x^2+T(6)*v*u*y*x^2+T(6)*v*y^2*x^2+T(6)*z*y^2*x^2+T(6)*y^2*x^3+T(6)*v*z^2*u+T(6)*v*z*u^2+T(6)*v^2*z*y+T(6)*v*z^2*y+T(6)*v^2*u*y+T(6)*v*z*u*y+T(6)*z^2*u*y+T(6)*v*u^2*y+T(6)*v^2*y^2+T(6)*z*u*y^2+T(6)*v*z*u*x+T(6)*v*u^2*x+T(6)*z^2*y*x+T(6)*v*u*y*x+T(6)*z*u*y*x+T(6)*u^2*y*x+T(6)*z*y^2*x+T(6)*v*z*x^2+T(6)*z*y*x^2+T(6)*u*y*x^2+T(6)*y*x^3+T(6)*v^2*z+T(6)*v*z^2+T(6)*v*z*u+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*z*y^2+T(6)*u*y^2+T(6)*v^2*x+T(6)*z^2*x+T(6)*v*u*x+T(6)*z^2+T(6)*v*u+T(6)*z*u+T(6)*v*y+T(6)*z*y+T(6)*u*x+T(6)*x+T(7)*v^2*z*u*x+T(7)*z*u^3*x+T(7)*z*u^2*y*x+T(7)*v^2*y^2*x+T(7)*v^2*z*x^2+T(7)*v^2*y*x^2+T(7)*y^3*x^2+T(7)*z*u*x^3+T(7)*u^2*x^3+T(7)*u*y*x^3+T(7)*y^2*x^3+T(7)*z*x^4+T(7)*v^2*u^2+T(7)*v^2*z*y+T(7)*v^3*x+T(7)*v*z^2*x+T(7)*z^3*x+T(7)*z^2*u*x+T(7)*z*u^2*x+T(7)*v*y^2*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*v*u*x^2+T(7)*u^2*x^2+T(7)*v*y*x^2+T(7)*y^2*x^2+T(7)*y*x^3+T(7)*v*z^2+T(7)*v*u^2+T(7)*v^2*y+T(7)*v*z*y+T(7)*v*z*x+T(7)*z^2*x+T(7)*z*u*x+T(7)*z*y*x+T(7)*y^2*x+T(7)*v*x^2+T(7)*z*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*v*u+T(7)*v*x+T(7)*y*x+T(7)*z+u*y*x^3+z*u^3+z*y^3+v*u^2*x+u^3*x+u^2*y*x+v*y^2*x+u^2*x^2+u*y*x^2+v^3+v*u^2+z*u^2+v*u*y+z*y^2+z*u*x+u*y*x+z*x^2+u*x^2+v^2+z^2+v*u+v*y norid[67]=T(1)*v^4+T(1)*v^2*x^2+T(1)*v^3+T(1)*v*x^2+T(1)*v^2+T(1)*v*x+T(1)*v+T(1)*x+T(2)*v^3+T(2)*v^2+T(2)*v+T(2)*y+T(2)+T(3)*v^2*x+T(3)*x^3+T(3)*v^2+T(3)*x^2+T(3)+T(4)*v^2*y+T(4)*y^3+T(4)*v^2+T(4)*v*y+T(4)*y^2+T(4)*y+T(4)+T(5)*v^4+T(5)*v^2*x^2+T(5)*v^2*u+T(5)*y^3+T(5)*v*x^2+T(5)*x^3+T(5)*v^2+T(5)*v*y+T(5)*y^2+T(5)*v*x+T(5)*u+T(5)+T(6)*v*z*u^2*x+T(6)*v*z^2*y*x+T(6)*v*u^2*y*x+T(6)*v^2*y^2*x+T(6)*v*z^2*x^2+T(6)*v*u^2*x^2+T(6)*v*u*y*x^2+T(6)*z*y^2*x^2+T(6)*y^3*x^2+T(6)*v*z*x^3+T(6)*y^2*x^3+T(6)*v*z*u^2+T(6)*v^2*u*y+T(6)*v*z*u*y+T(6)*z^2*u*y+T(6)*v*u^2*y+T(6)*v^2*y^2+T(6)*z*u*y^2+T(6)*v*z*u*x+T(6)*v*z*y*x+T(6)*z^2*y*x+T(6)*v*u*y*x+T(6)*y^3*x+T(6)*v*u*x^2+T(6)*z*y*x^2+T(6)*y^2*x^2+T(6)*v^2*u+T(6)*v*z*u+T(6)*z^2*u+T(6)*v*u^2+T(6)*z*u^2+T(6)*v^2*y+T(6)*v*z*y+T(6)*v*u*y+T(6)*z*y^2+T(6)*u*y^2+T(6)*y^3+T(6)*v*y*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*u*x^2+T(6)*v*z+T(6)*z^2+T(6)*v*y+T(6)*u*y+T(6)*u*x+T(6)*x^2+T(6)*z+T(6)*u+T(6)+T(7)*v^2*z^2*x+T(7)*z*u^3*x+T(7)*z*u^2*y*x+T(7)*v^2*y^2*x+T(7)*v^2*u*x^2+T(7)*u^3*x^2+T(7)*v^2*x^3+T(7)*z^2*x^3+T(7)*y^2*x^3+T(7)*u*x^4+T(7)*y*x^4+T(7)*v^2*u^2+T(7)*v^2*z*y+T(7)*v^3*x+T(7)*v^2*z*x+T(7)*v*z^2*x+T(7)*z^3*x+T(7)*v^2*u*x+T(7)*z^2*u*x+T(7)*z*u^2*x+T(7)*v^2*y*x+T(7)*v*y^2*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*v*u*x^2+T(7)*u^2*x^2+T(7)*v*y*x^2+T(7)*u*y*x^2+T(7)*y^2*x^2+T(7)*v^2*z+T(7)*v*z^2+T(7)*v^2*u+T(7)*z^2*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*v*z*y+T(7)*v^2*x+T(7)*v*z*x+T(7)*z^2*x+T(7)*u^2*x+T(7)*z*y*x+T(7)*u*y*x+T(7)*v*x^2+T(7)*u*x^2+T(7)*v*z+T(7)*z^2+T(7)*z*u+T(7)*z*y+T(7)*y*x+v*u^2*y*x+u*y*x^3+v*u^3+z*u^3+z*y^3+v*u^2*x+u^3*x+v*u*y*x+u^2*y*x+v*y^2*x+u^2*x^2+u*y*x^2+v^3+z*u^2+v*u*y+z*y^2+v^2*x+z^2*x+z*u*x+u*y*x+z*x^2+v^2+v*u+v*y+z*x norid[68]=T(1)*v^4+T(1)*v^3*x+T(1)*v*x^2+T(1)*x^3+T(1)*v*x+T(1)*v+T(2)*v^3+T(2)*v*y+T(2)*y^2+T(2)*y+T(3)*v*y^4+T(3)*v^4*x+T(3)*v^2*x^3+T(3)*v^2*y+T(3)*v*y^2+T(3)*y^3+T(3)*v^2*x+T(3)*v*x^2+T(3)*x^3+T(3)*v^2+T(3)*v*y+T(3)*y^2+T(3)*v+T(3)*y+T(4)*v*y^4+T(4)*v*y^2+T(4)*v*y+T(4)*y+T(5)*v^4+T(5)*v^2*u^2+T(5)*v^2*u*y+T(5)*v*u^2*y+T(5)*v^3*x+T(5)*v^3+T(5)*v^2*u+T(5)*u^3+T(5)*v*u*y+T(5)*u^2*y+T(5)*y^3+T(5)*v^2*x+T(5)*v*x^2+T(5)*v*u+T(5)*u+T(5)*y+T(6)*v*u^2*x^3+T(6)*y^3*x^3+T(6)*v*z*x^4+T(6)*v*z^2*u^2+T(6)*v*z^3*x+T(6)*v*z^2*u*x+T(6)*v*z*u^2*x+T(6)*v^2*u*y*x+T(6)*z*u^2*y*x+T(6)*u^3*y*x+T(6)*z*u*y^2*x+T(6)*v*z^2*x^2+T(6)*v*u^2*x^2+T(6)*v*z*y*x^2+T(6)*z^2*y*x^2+T(6)*u^2*y*x^2+T(6)*v*y^2*x^2+T(6)*z*y^2*x^2+T(6)*v*z*x^3+T(6)*v*u*x^3+T(6)*v^2*z^2+T(6)*v*z^3+T(6)*z^2*u^2+T(6)*v*u^3+T(6)*v^2*z*y+T(6)*z^3*y+T(6)*v*u^2*y+T(6)*z*u^2*y+T(6)*v^2*y^2+T(6)*z*u*y^2+T(6)*u^2*y^2+T(6)*z^3*x+T(6)*v*u^2*x+T(6)*z*u^2*x+T(6)*u^3*x+T(6)*v^2*y*x+T(6)*u^2*y*x+T(6)*v*y^2*x+T(6)*z*y^2*x+T(6)*v^2*x^2+T(6)*v*z*x^2+T(6)*v*u*x^2+T(6)*u^2*x^2+T(6)*v*y*x^2+T(6)*u*y*x^2+T(6)*y^2*x^2+T(6)*z*x^3+T(6)*y*x^3+T(6)*v^3+T(6)*v^2*z+T(6)*v*z^2+T(6)*v^2*u+T(6)*v*z*u+T(6)*z^2*u+T(6)*z*u^2+T(6)*v^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*z*y^2+T(6)*v*z*x+T(6)*z^2*x+T(6)*v*u*x+T(6)*z*u*x+T(6)*u^2*x+T(6)*v*y*x+T(6)*u*y*x+T(6)*y^2*x+T(6)*v*x^2+T(6)*u*x^2+T(6)*y*x^2+T(6)*v^2+T(6)*z^2+T(6)*v*u+T(6)*z*u+T(6)*u^2+T(6)*z*y+T(6)*u*x+T(6)*y*x+T(6)*v+T(6)*y+T(6)+T(7)*v^2*z*x^3+T(7)*u*y^2*x^3+T(7)*y^3*x^3+T(7)*z^2*x^4+T(7)*z*u*x^4+T(7)*u^2*x^4+T(7)*u*y*x^4+T(7)*z*x^5+T(7)*y*x^5+T(7)*v^2*u^2*x+T(7)*z*u^3*x+T(7)*v^2*u*y*x+T(7)*z*u^2*y*x+T(7)*v*y^3*x+T(7)*z*y^3*x+T(7)*y^4*x+T(7)*v^3*x^2+T(7)*v*z^2*x^2+T(7)*z*u^2*x^2+T(7)*u^2*y*x^2+T(7)*v*y^2*x^2+T(7)*v*z*x^3+T(7)*z^2*x^3+T(7)*v*u*x^3+T(7)*u*y*x^3+T(7)*y^2*x^3+T(7)*u*x^4+T(7)*v^2*u^2+T(7)*v*z*u^2+T(7)*v*z^2*y+T(7)*v^2*u*y+T(7)*v*z*u*y+T(7)*v*u^2*y+T(7)*v^2*y^2+T(7)*v*z*y^2+T(7)*z^2*y^2+T(7)*z*u*y^2+T(7)*v*z^2*x+T(7)*z^3*x+T(7)*u^3*x+T(7)*z*u*y*x+T(7)*v*y^2*x+T(7)*z*y^2*x+T(7)*u*y^2*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*u^2*x^2+T(7)*v*y*x^2+T(7)*y^2*x^2+T(7)*v*x^3+T(7)*z*x^3+T(7)*u*x^3+T(7)*y*x^3+T(7)*v*z^2+T(7)*z^3+T(7)*v^2*u+T(7)*v*z*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*z^2*y+T(7)*v*u*y+T(7)*z*u*y+T(7)*z*y^2+T(7)*v^2*x+T(7)*v*z*x+T(7)*z^2*x+T(7)*u*y*x+T(7)*y^2*x+T(7)*z*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*v*z+T(7)*y*x+T(7)*z+z*u^4+z*y^4+v*u^3*x+z*u^3*x+v*u^2*y*x+u^3*y*x+u^3*x^2+u^2*x^3+v*u^3+u^3*x+u^2*y*x+v*y^2*x+z*u*x^2+u^2*x^2+z*x^3+u*x^3+v^3+v*u*y+z*y^2+v^2*x+v*z*x+u^2*x+z*x^2+u*x^2+z^2+v*u+z*u+v*y norid[69]=T(1)*v^3*x^2+T(1)*v^3*x+T(1)*v^2*x^2+T(1)*x^2+T(1)*v+T(1)+T(2)*v^2+T(2)*y^2+T(2)*v+T(2)*y+T(3)*v^2*y^3+T(3)*v^3*x^2+T(3)*v^3*y+T(3)*v^2*y^2+T(3)*x^3+T(3)*x^2+T(3)*x+T(4)*v^2*y^3+T(4)*v^3*y+T(4)*v^2*y^2+T(4)*v^3+T(4)*v^2*y+T(4)*y^3+T(4)*y^2+T(5)*v^3*x^2+T(5)*v^3*x+T(5)*v^2*x^2+T(5)*y^3+T(5)*v*x^2+T(5)*x^3+T(5)*v^2+T(5)*u^2+T(5)*u*y+T(5)*v+T(5)*u+T(5)*y+T(6)*v^2*u*y*x^2+T(6)*v^2*y^2*x^2+T(6)*z*u*y^2*x^2+T(6)*u*y^2*x^3+T(6)*v^2*z*u^2+T(6)*z^3*u*y+T(6)*z*u^2*y^2+T(6)*v^2*z*y*x+T(6)*z^3*y*x+T(6)*v*z*u*y*x+T(6)*v*u^2*y*x+T(6)*v^2*y^2*x+T(6)*u^2*y^2*x+T(6)*v*u^2*x^2+T(6)*v^2*y*x^2+T(6)*u^2*y*x^2+T(6)*u*y^2*x^2+T(6)*y^3*x^2+T(6)*v*z*x^3+T(6)*u^2*x^3+T(6)*z*x^4+T(6)*v^2*z^2+T(6)*v^2*z*u+T(6)*v*z^2*u+T(6)*v^2*u^2+T(6)*z^2*u^2+T(6)*v^3*y+T(6)*v^2*z*y+T(6)*z^3*y+T(6)*v*z*u*y+T(6)*z*u^2*y+T(6)*v^3*x+T(6)*v*z^2*x+T(6)*z^3*x+T(6)*v*u^2*x+T(6)*v^2*y*x+T(6)*v*z*y*x+T(6)*z^2*y*x+T(6)*z*y^2*x+T(6)*v*z*x^2+T(6)*v*u*x^2+T(6)*u^2*x^2+T(6)*u*y*x^2+T(6)*v*x^3+T(6)*z*x^3+T(6)*u*x^3+T(6)*y*x^3+T(6)*v^3+T(6)*z^3+T(6)*z^2*u+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u*y^2+T(6)*y^3+T(6)*v*z*x+T(6)*z^2*x+T(6)*v*u*x+T(6)*u^2*x+T(6)*z*y*x+T(6)*u*y*x+T(6)*z*x^2+T(6)*u*x^2+T(6)*y*x^2+T(6)*v^2+T(6)*z*u+T(6)*z*y+T(6)*u*y+T(6)*y^2+T(6)*u*x+T(6)*x^2+T(6)*v+T(6)+T(7)*v^3*y*x^2+T(7)*v^3*x^3+T(7)*v*z^2*x^3+T(7)*v*z*x^4+T(7)*v*u*x^4+T(7)*v^3*z*x+T(7)*v^3*u*x+T(7)*v*z*u^2*x+T(7)*v*u^3*x+T(7)*v^3*y*x+T(7)*v*u^2*y*x+T(7)*z*u^2*y*x+T(7)*z*u*y^2*x+T(7)*v^2*z*x^2+T(7)*v*z^2*x^2+T(7)*v*z*u*x^2+T(7)*u^3*x^2+T(7)*v^2*y*x^2+T(7)*v*u*y*x^2+T(7)*u^2*y*x^2+T(7)*v*y^2*x^2+T(7)*y^3*x^2+T(7)*v*z*x^3+T(7)*z^2*x^3+T(7)*u^2*x^3+T(7)*v*y*x^3+T(7)*z*x^4+T(7)*y*x^4+T(7)*v^3*z+T(7)*v^3*u+T(7)*v*z*u^2+T(7)*v^3*y+T(7)*v*z^2*y+T(7)*v*u^2*y+T(7)*v*z*y^2+T(7)*v^3*x+T(7)*v^2*u*x+T(7)*z^2*u*x+T(7)*v*u^2*x+T(7)*z*u^2*x+T(7)*z*u*y*x+T(7)*u^2*y*x+T(7)*v*y^2*x+T(7)*z*y^2*x+T(7)*v^2*x^2+T(7)*u^2*x^2+T(7)*v*y*x^2+T(7)*y^2*x^2+T(7)*z*x^3+T(7)*y*x^3+T(7)*v*z^2+T(7)*z^2*u+T(7)*z*u^2+T(7)*z^2*y+T(7)*v*u*y+T(7)*z*u*y+T(7)*v*z*x+T(7)*z^2*x+T(7)*v*u*x+T(7)*z*u*x+T(7)*u^2*x+T(7)*v*y*x+T(7)*y^2*x+T(7)*y*x^2+T(7)*v*z+T(7)*z^2+T(7)*v*u+T(7)*z*u+T(7)*y*x+T(7)*x^2+T(7)*v+T(7)*z+u^2*y*x^3+u^2*x^4+u*y*x^4+z*x^5+v*u^3*x+v*u^2*y*x+z*u^2*x^2+u*x^4+v*u^2*y+v*u^2*x+z*u^2*x+u^3*x+v*u*y*x+u*y*x^2+v*u^2+z*u^2+z*y^2+z^2*x+v*u*x+u^2*x+u*y*x+v^2+v*u+v*y+v*x+u*x+z norid[70]=T(1)*v^3*x+T(1)*v^3+T(1)*v*x^2+T(1)*v*x+T(1)*v+T(1)*x+T(1)+T(2)*v+T(3)*v^2*y^3+T(3)*v^3*y+T(3)*v*y^3+T(3)*y^4+T(3)*v^3*x+T(3)*v^2*y+T(3)*v*y^2+T(3)*v*y+T(3)*y^2+T(3)*v+T(3)*x+T(4)*v^2*y^3+T(4)*v*y^3+T(4)*y^4+T(4)*v^3+T(4)*v^2*y+T(4)*v*y^2+T(4)*v*y+T(4)*y^2+T(4)*y+T(5)*v^3*u+T(5)*v^3*x+T(5)*v^2*u+T(5)*v*u^2+T(5)*u^3+T(5)*v^2*y+T(5)*u^2*y+T(5)*v^2*x+T(5)*v^2+T(5)*u*y+T(5)*x^2+T(5)*u+T(5)*y+T(6)*v^2*u^2*x^2+T(6)*v^2*u*y*x^2+T(6)*z*u^2*y*x^2+T(6)*v^2*y^2*x^2+T(6)*z*u*y^2*x^2+T(6)*v^2*z*x^3+T(6)*v^2*z^2*u+T(6)*v^2*z^2*y+T(6)*v^2*u^2*y+T(6)*z^2*u^2*y+T(6)*z*u^2*y^2+T(6)*v^2*z^2*x+T(6)*z^3*u*x+T(6)*v^2*u^2*x+T(6)*v^2*z*y*x+T(6)*z^3*y*x+T(6)*v^2*u*y*x+T(6)*v*u^2*y*x+T(6)*z*u*y^2*x+T(6)*u^2*y^2*x+T(6)*v^2*z*x^2+T(6)*v^2*u*x^2+T(6)*z^2*y*x^2+T(6)*v*u*y*x^2+T(6)*u^2*y*x^2+T(6)*v*y^2*x^2+T(6)*z*y^2*x^2+T(6)*u*y^2*x^2+T(6)*u^2*x^3+T(6)*z*x^4+T(6)*v^2*z^2+T(6)*v^2*z*u+T(6)*v^2*u^2+T(6)*z^2*u^2+T(6)*v^3*y+T(6)*v^2*z*y+T(6)*v^2*u*y+T(6)*v*z*u*y+T(6)*z^2*u*y+T(6)*v*u^2*y+T(6)*z*u^2*y+T(6)*u^3*y+T(6)*u^2*y^2+T(6)*v^2*z*x+T(6)*v*z^2*x+T(6)*z^3*x+T(6)*v^2*u*x+T(6)*u^3*x+T(6)*v^2*y*x+T(6)*v*z*y*x+T(6)*v*u*y*x+T(6)*u*y^2*x+T(6)*y^3*x+T(6)*v*z*x^2+T(6)*v*u*x^2+T(6)*z*u*x^2+T(6)*v*y*x^2+T(6)*u*y*x^2+T(6)*y^2*x^2+T(6)*v*x^3+T(6)*u*x^3+T(6)*y*x^3+T(6)*z^3+T(6)*v^2*u+T(6)*v*z*u+T(6)*z*u^2+T(6)*v*z*y+T(6)*z^2*y+T(6)*v*u*y+T(6)*z*u*y+T(6)*u^2*y+T(6)*v*y^2+T(6)*y^3+T(6)*v*z*x+T(6)*z^2*x+T(6)*v*u*x+T(6)*u^2*x+T(6)*v*x^2+T(6)*y*x^2+T(6)*v^2+T(6)*v*z+T(6)*v*u+T(6)*v*y+T(6)*z*y+T(6)*v*x+T(6)*u*x+T(6)*z+T(6)*x+T(7)*v^3*u*x^2+T(7)*v*u^3*x^2+T(7)*v*u^2*y*x^2+T(7)*v*u*y^2*x^2+T(7)*v*y^3*x^2+T(7)*v*u^2*x^3+T(7)*v*y*x^4+T(7)*v^3*u*x+T(7)*v*u^3*x+T(7)*v^3*y*x+T(7)*v*u^2*y*x+T(7)*v*y^3*x+T(7)*v*z^2*x^2+T(7)*v*z*x^3+T(7)*v*u*x^3+T(7)*v*y*x^3+T(7)*v^3*z+T(7)*v^3*u+T(7)*v*z*u^2+T(7)*v^3*y+T(7)*v*u^2*y+T(7)*v*z*y^2+T(7)*v^3*x+T(7)*v^2*z*x+T(7)*z^2*u*x+T(7)*v*u^2*x+T(7)*z*u^2*x+T(7)*u^3*x+T(7)*v^2*y*x+T(7)*z*u*y*x+T(7)*v*y^2*x+T(7)*z*y^2*x+T(7)*y^3*x+T(7)*v^2*x^2+T(7)*v*z*x^2+T(7)*z^2*x^2+T(7)*v*y*x^2+T(7)*z*x^3+T(7)*u*x^3+T(7)*y*x^3+T(7)*v^3+T(7)*v^2*u+T(7)*v*z*u+T(7)*z^2*u+T(7)*v*u^2+T(7)*z*u^2+T(7)*v^2*y+T(7)*v*z*y+T(7)*v*y^2+T(7)*v^2*x+T(7)*v*z*x+T(7)*z^2*x+T(7)*v*u*x+T(7)*z*u*x+T(7)*u^2*x+T(7)*y^2*x+T(7)*z*x^2+T(7)*u*x^2+T(7)*y*x^2+T(7)*v^2+T(7)*z*y+T(7)*z*x+T(7)*x^2+T(7)*z+T(7)*x+z*u^3*x^2+u^3*x^3+u^2*y*x^3+u^2*x^4+u*y*x^4+z*x^5+z*u^4+z*y^4+u^3*y*x+u^3*x^2+u^2*y*x^2+u*y*x^3+z*x^4+u*x^4+v*u^3+v*u^2*y+z*u^2*x+u^3*x+v*u*y*x+u^2*y*x+v*y^2*x+z*u*x^2+z*x^3+u*x^3+v^3+v*u^2+v*u*y+z*y^2+v^2*x+z^2*x+v*y*x+v^2+v*u+z*u+v*x+z*x+v norid[71]=T(1)^2+T(1)*x^2+T(1)*z+T(1)*x+T(4)+T(5)+T(6)+v*y*x^2+v*z*u+z*y*x+v^2+v*z+z^2+z*x+u*x norid[72]=T(1)*T(2)+T(1)*x^2+T(1)*z+T(1)+T(2)*z+T(3)*z+T(3)+T(4)+T(6)+v*u*y^2+v*y*x^2+v*z*u+v*y^2+z*y*x+v^2+v*z+z^2+z*x+u*x norid[73]=T(2)^2+T(1)+T(2)+T(3)*z+T(3)*y+T(3)+T(4)+T(7)*y^2+v*z*y^2+v*y^3+v*y*x^2+z*y*x^2+v*z*u+z^2*u+v^2*y+z^2*y+z*y*x+v*z norid[74]=T(1)*T(3)+T(1)*x^2+T(1)*z+T(1)+T(3)+T(5)+T(6)+v*z*y^2+v*u*y^2+v*y*x^2+z*y*x^2+v*z*u+z^2*u+v^2*y+z^2*y+v*y^2+z*y*x+v*z norid[75]=T(2)*T(3)+T(1)+T(2)*z*y+T(2)*z+T(2)+T(3)*z+T(3)*y+T(3)+T(4)+T(7)*y^2+v*y^4+v*y*x^3+v*z*u*y+v*y^3+v*z*u*x+v*y*x^2+z*y*x^2+v*z*u+z^2*u+v^2*y+v*z*y+z^2*y+v*z*x+z*y*x+v*z norid[76]=T(3)^2+T(1)+T(2)*z*y+T(2)*z+T(2)+T(3)*z*y+T(3)*y+T(3)+T(4)+T(7)*y^2+v*u*y^3+v*z*y^2+v*y^3+v*y*x^2+z*y*x^2+v*z*u+z^2*u+v^2*y+z^2*y+z*y*x+v*z norid[77]=T(1)*T(4)+T(1)*x^2+T(1)*x+T(2)*z+T(3)*z+T(3)+T(4)+T(5)*x+T(6)+v*z*u*y+v*z*y^2+v*u*y^2+v*y*x^2+z*y*x^2+z^3+v^2*u+v*z*u+z^2*u+v*z*y+v*y^2+v^2*x+z^2*x+z*u*x+u*x^2+v^2+v*z+z^2+z*x norid[78]=T(2)*T(4)+T(1)*z+T(1)*x+T(2)*z+T(2)+T(3)*z*y+T(3)*y+T(4)+T(5)*x+T(5)+T(7)*y^2+v*u*y^3+v*y^4+v*y*x^3+v*z^2*y+v*z*u*x+z^2*y*x+z*y*x^2+v^2*z+z^3+z^2*u+v^2*y+z^2*y+v*z*x+z^2*x+z*u*x+z*y*x norid[79]=T(3)*T(4)+T(1)*z+T(1)*x+T(2)*z*y+T(2)*z+T(2)+T(3)*z*y+T(3)*z+T(3)*y+T(5)*x+T(7)*y^2+v*z*y^3+v*z*y*x^2+v*z^2*u+v*z^2*y+v*z*u*y+z^2*u*y+v^2*y^2+v*z*y^2+z^2*y^2+v^2*y*x+z^2*y*x+z*y*x^2+v*z^2+z^3+v^2*u+z^2*u+v^2*y+v*z*y+z^2*y+z^2*x+z*u*x+z*x^2+z^2+u*x norid[80]=T(4)^2+T(1)*z+T(1)+T(2)*z+T(2)+T(3)*z+T(3)*y+T(3)+T(5)*z+T(5)+T(6)*u+T(6)*x+T(7)*y^2+v*z*u*y^2+v*u*y^3+v*z^3+z^3*y+v^2*u*y+v^2*y^2+z^2*y^2+v*y^3+z^3*x+v^2*u*x+v*z*y*x+z^2*y*x+v^2*x^2+z^2*x^2+z*u*x^2+v*y*x^2+z*y*x^2+u*x^3+v^2*z+z^3+v^2*u+v*z*u+z^2*u+v^2*x+z^2*x+z*y*x+v*z+z^2+u*x norid[81]=T(1)*T(5)+T(1)*x^2+T(1)*x+T(3)+T(5)*x+T(5)+T(6)+v*z^2*y+v*z*u*y+v*z*y^2+v*u*y^2+z^2*y*x+v*y*x^2+z*y*x^2+v^2*z+z^3+v*z*u+z^2*u+v^2*y+v*z*y+z^2*y+v*y^2+z^2*x+z*u*x+v^2+v*z+z^2+z*x+u*x norid[82]=T(2)*T(5)+T(1)*z+T(1)*x+T(2)*z*y+T(2)+T(3)*z+T(3)*y+T(4)+T(5)*x+T(5)+T(7)*y^2+v*z*y^3+v*u*y^3+v*y^4+v*z*y*x^2+v*y*x^3+v*z^2*u+z^2*u*y+v^2*y^2+z^2*y^2+v*z*u*x+v^2*y*x+z*y*x^2+v^2*z+v*z^2+z^3+z^2*u+v^2*x+v*z*x+z^2*x+z*u*x+z*x^2+u*x^2+z^2 norid[83]=T(3)*T(5)+T(1)*z+T(1)*x+T(2)*z*y+T(2)*z+T(2)+T(3)*z*y+T(3)*z+T(3)*y+T(5)*x+T(7)*y^2+v*z*u*y^2+z^3*y+v^2*u*y+v*z*u*y+v^2*y^2+v*z*y^2+z^2*y^2+v^2*y*x+z*y*x^2+v^2*z+z^3+v^2*u+z^2*u+v*z*y+v^2*x+z^2*x+z*y*x+u*x^2+z^2+u*x norid[84]=T(4)*T(5)+T(1)*z+T(1)+T(2)*z*y+T(2)*z+T(2)+T(3)*z*y+T(3)*z+T(3)*y+T(3)+T(4)+T(5)*z+T(6)*u+T(6)*x+T(7)*y^2+v*z^2*y^2+v*z*y^3+v*u*y^3+v*z^2*y*x+v*z*y*x^2+v*z^3+v*z^2*u+z^3*u+v^2*z*y+v*z^2*y+v^2*u*y+z^2*u*y+v*y^3+v^2*z*x+z^3*x+v*z*y*x+z^2*x^2+z*u*x^2+v*y*x^2+z*y*x^2+v^2*z+v*z^2+v*z*u+z^2*u+v^2*x+z*u*x+z*x^2+u*x^2+v*z norid[85]=T(5)^2+T(1)*z+T(1)+T(2)*z*y+T(2)+T(3)*z*y+T(3)*y+T(3)+T(5)*z+T(5)+T(6)*u+T(6)*x+T(7)*y^2+v*z^2*u*y+v*z*u*y^2+v*u*y^3+v*z^3+z^4+v^2*z*u+v^2*z*y+z^3*y+v*y^3+v^2*z*x+z^3*x+v^2*y*x+v*z*y*x+z^2*y*x+v^2*x^2+z^2*x^2+z*u*x^2+v*y*x^2+z*x^3+u*x^3+z^3+v^2*u+v*z*u+z^2*u+v^2*x+z^2*x+z*y*x+u*x^2+v*z+u*x norid[86]=T(1)*T(6)+T(1)*z+T(3)*z+T(5)*z+T(6)*u+T(6)*x+v*z^3+z^3*x+v^2*u*x+v^2*y*x+v*z*y*x+z^2*y*x+v^2*x^2+z^2*x^2+z*u*x^2+z*y*x^2+u*x^3+z^3+v^2*u+z^2*u+v^2*x+z^2*x+z*u*x+v^2+z^2+z*x norid[87]=T(2)*T(6)+T(1)*x+T(1)+T(2)*z*y+T(2)*z+T(3)*z*y+T(5)*z+T(5)*x+T(6)*u+T(6)*x+v*z^2*y^2+v*z^2*y*x+v*z^3+z^3*u+v^2*z*y+v^2*u*y+v*z*u*y+v^2*y^2+z^2*y^2+v^2*z*x+z^3*x+v^2*y*x+v*z*y*x+z^2*y*x+z^2*x^2+z*u*x^2+z*y*x^2+v^2*z+z^3+v^2*u+z^2*u+v*z*y+v^2*x+z^2*x+z*y*x+u*x^2+z^2+u*x norid[88]=T(3)*T(6)+T(1)*x+T(1)+T(2)*z+T(4)+T(5)*z+T(5)*x+T(5)+T(6)*u+T(6)*x+v*z^2*u*y+v*z^2*y^2+v*z^2*y*x+v*z^3+z^4+v^2*z*u+z^3*u+v*z^2*y+v*z*u*y+z^3*x+v^2*u*x+v*z*y*x+z^2*x^2+z*u*x^2+z*x^3+v^2*z+z^3+z^2*u+v^2*y+v*z*y+z^2*y+z^2*x+z*y*x+u*x^2 norid[89]=T(4)*T(6)+T(1)*z^2+T(1)*z+T(1)*x+T(1)+T(2)*z*y+T(2)*z+T(3)*z*y+T(4)*z+T(5)*z*x+T(5)*x+T(6)*u*x+T(6)*x^2+T(6)*u+T(6)*x+v*z^3*y+v*z^2*u*y+v*z^2*y^2+v*z^3*x+v*z^2*y*x+z^3*y*x+z^3*x^2+v^2*u*x^2+v^2*y*x^2+v^2*x^3+z^2*x^3+z*u*x^3+u*x^4+v^2*z^2+v*z^3+z^4+v*z^2*u+v^2*z*y+v*z^2*y+v^2*u*y+v*z*u*y+z^2*u*y+v^2*y^2+z^2*y^2+v^2*z*x+v^2*x^2+z*u*x^2+z*x^3+v^3+v^2*z+v^2*u+z^2*u+v*z*y+v^2*x+v*z*x+z^2*x+v*u*x+z*y*x+u*x^2+z^2+u*x norid[90]=T(5)*T(6)+T(1)*z^2+T(1)*z+T(1)*x+T(1)+T(2)*z+T(4)*z+T(4)+T(5)*z*x+T(5)*x+T(5)+T(6)*u*x+T(6)*x^2+T(6)*u+T(6)*x+v*z^3*u+v*z^3*y+v*z^2*u*y+v*z^2*y^2+v*z^3*x+z^3*u*x+v^2*z*y*x+v*z^2*y*x+z^3*y*x+v^2*z*x^2+z^3*x^2+z^2*x^3+z*u*x^3+z^4+v^2*z*u+v*z^2*u+v*z^2*y+v*z*u*y+z^2*u*y+z^3*x+v^2*u*x+z^2*x^2+z*u*x^2+z*x^3+v^3+v^2*z+z^2*u+v^2*y+v*z*y+z^2*y+v*z*x+z^2*x+v*u*x+z*y*x+u*x^2 norid[91]=T(6)^2+T(1)*z^3+T(1)*z*x^2+T(2)*z*y+T(3)*z*y+T(4)+T(5)+T(6)*u*x^2+T(6)*x^3+T(6)*z*u+T(6)*z*x+v*z^3*y*x+v*z^3*x^2+z^3*x^3+v^2*u*x^3+v^2*y*x^3+v^2*x^4+z^2*x^4+z*u*x^4+u*x^5+z^4*u+z^2*u*y^2+v^2*z^2*x+v^2*z*u*x+v*z^2*u*x+z^3*u*x+v^2*z*y*x+v*z^2*y*x+v^2*z*x^2+z^3*x^2+v^2*u*x^2+v^2*y*x^2+v*z*y*x^2+v^2*x^3+z^2*x^3+v^3*z+v^2*z^2+v*z^3+z^4+v^2*z*u+v*z^2*u+v^3*y+v^2*z*y+v*z^2*y+z^3*y+v^2*u*y+v^2*y^2+z^2*y^2+z^3*x+v^2*u*x+v*z*u*x+v*z*y*x+v^2*x^2+v^2*u+v^2*y+z^2*y+v^2*x+z^2+u*x norid[92]=T(1)*T(7)+T(1)*x^2+T(1)*z+T(1)*x+T(2)*z+T(3)*z+T(6)+z^2*y^3+z*u*y^3+z*y*x^3+z^2*u*y+v*z*y^2+z^2*y^2+z*u*y^2+z*y^3+z^2*u*x+v*y*x^2+v*z*u+v^2*y+z*y^2+z^2*x+z*y*x+v*z+z^2 norid[93]=T(2)*T(7)+T(1)*x^2+T(1)*z+T(1)+T(2)*z*y+T(3)*z+T(3)+T(4)+T(6)+z*y^5+u*y^5+z*y*x^4+z^2*u*y^2+v*y^4+z*y^4+u*y^4+y^5+z^2*u*x^2+v*y*x^3+y*x^4+z^4+v*z*u*y+v*z*y^2+z^2*y^2+v*u*y^2+z*u*y^2+y^4+v*z*u*x+z^2*y*x+z^2*x^2+z*u*x^2+v*y*x^2+z*y*x^2+y*x^3+z^3+v*z*u+z^2*u+v*z*y+z*u*y+v*y^2+z*y^2+v*z*x+z*u*x+z*x^2+v^2+v*z+z*y+u*x norid[94]=T(3)*T(7)+T(1)*x^2+T(1)*z+T(1)+T(3)*z*y+T(3)*z+T(3)+T(5)+T(6)+z*u*y^4+u*y^5+z^2*y^3+v*u*y^3+z*u*y^3+v*y^4+u*y^4+y^5+v*y*x^3+z*y*x^3+y*x^4+v*z*u*y+z^2*u*y+z^2*y^2+v*u*y^2+z*u*y^2+y^4+v*z*u*x+z^2*u*x+z*u*x^2+v*y*x^2+y*x^3+z^3+v*z*u+v^2*y+v*z*y+z*u*y+v*y^2+z*y^2+v*z*x+z^2*x+z*u*x+z*x^2+v*z+z^2+z*y+z*x norid[95]=T(4)*T(7)+T(1)*x^2+T(1)*x+T(2)*z*y+T(2)*z+T(3)+T(5)*x+T(5)+T(6)+z^2*y^4+u*y^5+z^3*y^2+v*z*y^3+v*u*y^3+v*y^4+z*y^4+u*y^4+y^5+v*y*x^3+y*x^4+v^3*y+v*z^2*y+z^3*y+z^2*u*y+v^2*y^2+z^2*y^2+v*u*y^2+z*u*y^2+z*y^3+y^4+v*z*u*x+v^2*y*x+z*u*x^2+v*y*x^2+z*y*x^2+y*x^3+v^3+v^2*z+v*z*u+z^2*u+z^2*y+z*u*y+v*y^2+z*y^2+v^2*x+z^2*x+v*u*x+u*x^2+v^2+v*z+z*y+u*x norid[96]=T(5)*T(7)+T(1)*x^2+T(1)*x+T(2)*z+T(3)*z*y+T(3)+T(4)+T(5)*x+T(6)+z^2*u*y^3+u*y^5+v*z*u*y^2+v*z*y^3+z^2*y^3+v*u*y^3+v*y^4+z*y^4+u*y^4+y^5+v*z*y*x^2+v*y*x^3+y*x^4+v*z^2*u+v*z^2*y+z^3*y+v^2*u*y+v*u*y^2+z*u*y^2+z*y^3+y^4+v*z*u*x+z^2*y*x+z*u*x^2+v*y*x^2+z*y*x^2+y*x^3+v^2*z+v*z^2+v^2*u+v*z*u+z^2*u+v^2*y+z*u*y+v*y^2+z*y^2+v*z*x+z^2*x+z*u*x+v^2+v*z+z^2+z*y norid[97]=T(6)*T(7)+T(1)*z+T(2)*z*y+T(3)*z*y+T(3)*z+T(4)+T(5)*z+T(5)+T(6)*u+T(6)*x+z^3*y^3+z^2*u*y^3+v^3*y^2+v*z^2*y^2+z^3*y^2+z^2*u*y^2+v^3*y*x+z^3*y*x+v^3*z+v^2*z*u+v*z^2*u+v^2*z*y+v*z^2*y+z^3*y+v^2*u*y+v^2*y^2+v^2*z*x+z^3*x+v*z*u*x+z^2*y*x+v^2*x^2+z^2*x^2+z*u*x^2+z*x^3+u*x^3+v^3+z^3+z^2*u+v^2*y+v*z*x+z^2*x+v*u*x+z*u*x+v^2+z*x+u*x norid[98]=T(7)^2+T(1)*x^3+T(1)*z*x+T(1)*x^2+T(2)*z*y^3+T(2)*y^4+T(2)*y^2+T(2)*z+T(3)*y^4+T(3)*y^3+T(3)*z*y+T(3)+T(5)+T(6)*x+T(6)+z*u*y^4+z*y^5+z*y*x^4+z^2*u*y^2+v*u*y^3+z*u*y^3+z*y^4+u*y^4+z^2*u*x^2+z*y*x^3+z^4+z^2*u*y+v^2*y^2+z^2*y^2+y^4+z^2*u*x+z^2*y*x+z^2*x^2+v*y*x^2+y*x^3+z^3+v^2*u+v*z*u+z^2*u+u*y^2+z^2*x+z*y*x+z*x^2+v*z+z^2+z*u+y^2+z*x+u*x+y*x+z norid[99]=u^2+z*y+z*x+u norid[100]=y^2*x+y*x^2+z*u+z norid[101]=u*y*x+z^2 norid[102]=z^2*y*x^2+z^3*u+z^2*u*y+v*z*y*x+v^3+v*z^2+z^3+v*z*x+v*u*x norid[103]=z^3*u*y+z^2*u*y^2+z^4+v*z^2*u+v^3*y+v*z^2*y+z^3*y+v^3*x+v*z^2*x+v*z*y*x+v*z*x^2+v*u*x^2 norid[104]=z^4*y+z^3*y^2+z^3*y*x+v*z^3+v^3*u+v*z^2*u+z^2*u*y+v*z*u*x+v*z*y*x+v*z*x^2+v*u*x norid[105]=z^5+z^3*y^2+z^4*x+v*z^2*u*x+v^3*y*x+v*z^2*y*x+v^3*x^2+v*z^2*x^2+v*z*y*x^2+v*z*x^3+v*u*x^3+v*z^3+v^3*u+v*z^2*u+z^2*u*y+v*z*u*x+v*z*y*x+v*z*x^2+v*u*x > option(redSB); > ideal j=std(norid);j; j[1]=u^2+z*y+z*x+u j[2]=y^2*x+y*x^2+z*u+z j[3]=u*y*x+z^2 j[4]=z^2*y*x^2+z^3*u+z^2*u*y+v*z*y*x+v^3+v*z^2+z^3+v*z*x+v*u*x j[5]=z^3*u*y+z^2*u*y^2+z^4+v*z^2*u+v^3*y+v*z^2*y+z^3*y+v^3*x+v*z^2*x+v*z*y*x+v*z*x^2+v*u*x^2 j[6]=z^4*y+z^3*y^2+z^3*y*x+v*z^3+v^3*u+v*z^2*u+z^2*u*y+v*z*u*x+v*z*y*x+v*z*x^2+v*u*x j[7]=z^5+z^3*y^2+z^4*x+v*z^2*u*x+v^3*y*x+v*z^2*y*x+v^3*x^2+v*z^2*x^2+v*z*y*x^2+v*z*x^3+v*u*x^3+v*z^3+v^3*u+v*z^2*u+z^2*u*y+v*z*u*x+v*z*y*x+v*z*x^2+v*u*x j[8]=T(7)*u*x+T(7)*z+v*z*u*y+v*u*y^2+v*z^2+z^3+v^2*u+v^2*y+z^2*y+v*y^2+v^2*x+v*z*x+z^2*x+z*u*x+v*y*x+z*y*x+u*x^2+v^2+z^2+z*x j[9]=T(7)*z*x+T(7)*z+v*z^2*y+v*u*y^2+v*z*y*x+z^2*y*x+z*y*x^2+v^2*z+v^2*u+v*z*u+v^2*y+v*z*y+z^2*y+v*y^2+z^2*x+v*y*x+z*y*x+z*x^2+v^2+v*z+z^2+z*x j[10]=T(7)*v*x+z*y*x^3+v^2*z*y+z^3*y+z^2*u*y+z^2*u*x+v^2*y*x+v*z*y*x+z^2*y*x+v^3+v*z^2+v^2*u+v*z*x+z^2*x+v*u*x+v^2 j[11]=T(7)*z*u+T(7)*z*y+v*z*y^3+v*u*y^3+v*z*y*x^2+v*z^2*u+v*z*u*y+z^2*u*y+v^2*y^2+v*z*y^2+z^2*y^2+v*y^3+v^2*y*x+v*y*x^2+z*y*x^2+v^2*z+z^3+v*z*u+v^2*y+z^2*y+z*u*x+z*y*x+v*z+z^2 j[12]=T(7)*v*u+z^2*u*y^2+v^2*y^3+z^2*y^3+v^2*y*x^2+v^2*z*u+z^3*y+v^2*u*y+z*u*y^2+v*z*y*x+v^3+v*z^2+v*z*x+v*u*x j[13]=T(7)*z^2+T(7)*z*y+v*z*u*y^2+v*u*y^3+v*z^2*y+z^3*y+v^2*u*y+v^2*y^2+z^2*y^2+v*y^3+v^2*y*x+v*z*y*x+z^2*y*x+v*y*x^2+z*y*x^2+z^3+v*z*u+z^2*u+v^2*y+z^2*y+z^2*x+z*y*x+v*z+z^2 j[14]=T(7)*v*z+z^3*y^2+v^2*u*y^2+z^2*u*y^2+v^2*z*y+z^3*y+z^2*u*y+v^2*y^2+v^2*y*x+v*z*y*x+v^3+v*z^2+v*z*x+v*u*x j[15]=T(7)*v^2+z^3*y^3+z^2*y^4+v*z^2*y+z^3*y+v*z*y^2+z^2*y^2+v*z^2+v*z*u+v*z*x+v*z j[16]=T(6)*y+T(6)+T(7)*y*x+T(7)*x^2+v*z*y^2+v*z*y*x+z^3+v^2*u+v*z*u+z^2*u+v*u*y+v*u*x+z*u*x+z*x^2+v^2+v*z+z^2+v*y+v*x+z*x j[17]=T(6)*u+T(6)*x+T(7)*y*x^2+T(7)*x^3+v*z^2*u+v*z*u*x+z^2*u*x+v^2*y*x+z^2*y*x+v^2*x^2+z^2*x^2+v*u*x^2+z*y*x^2+z*x^3+u*x^3+v*z*x+v*y*x+v*x^2 j[18]=T(6)*z+T(6)*x+T(7)*y*x^2+T(7)*x^3+v*z^2*u+v*z*u*x+v*u*x^2+v*z*x+v*y*x+v*x^2 j[19]=T(6)*v+z^4+z^3*u+z^2*y*x+z^3 j[20]=T(5)*z+T(5)*u+T(7)*z*y+T(7)*u*y+T(7)*v+T(7)*z+T(7)*u+v*u*y^3+v*y^4+v*y*x^3+v*z*u*y+v*z*y^2+v*z*u*x+z^3+v^2*u+v^2*y+v*z*y+v*u*y+v*y^2+z*y^2+v^2*x+v*z*x+z^2*x+z*u*x+v*y*x+u*x^2+v*z+z^2+z*u+z*x+u*x+z j[21]=T(5)*v+z^3*y+z*y^3+z^2*y*x+z*y^2 j[22]=T(5)*u*x+T(5)*x^2+T(7)*y*x^2+T(7)*x^3+T(7)*x^2+T(7)*z+T(7)*x+v*z^2*u+v*u*y^2+v*z*u*x+v*z*y*x+z^2*y*x+v*u*x^2+v*y*x^2+v^2*z+z^3+z^2*u+v^2*y+z^2*y+v*y^2+v^2*x+v*z*x+v*u*x+z*u*x+v*y*x+z*y*x+v*x^2+z*x^2+u*x^2+v*u+v*x+v j[23]=T(5)*u*y+T(5)*u+T(7)*z*y^2+T(7)*u*y^2+T(7)*v*y+T(7)*u+v*u*y^4+v*y^5+v*y*x^4+v*z*u*y^2+v*z*y^3+v*u*y^3+v*y^4+v*z*u*x^2+v*y*x^3+v*z^3+v*z*u*y+z^2*u*y+v^2*y^2+v*y^3+z*y^3+v*z*u*x+v^2*y*x+v*z*y*x+z^2*y*x+v*z*x^2+v*y*x^2+v*z*u+v^2*y+v*z*y+v*u*y+z*u*y+v^2*x+v*z*x+z*y*x+z*x^2+u*x^2+v^2+z*y+z*x+u*x j[24]=T(5)*x^3+T(5)*x^2+T(6)+T(7)*y*x^3+T(7)*x^4+T(7)*y*x^2+T(7)*y*x+T(7)*x^2+T(7)*z+T(7)*x+v*z^2*u*x+v*z*u*x^2+z^2*u*x^2+v^2*y*x^2+v*z*y*x^2+v^2*x^3+z^2*x^3+v*u*x^3+v*y*x^3+z*y*x^3+z*x^4+u*x^4+v*z^2*u+v*z*y^2+v*u*y^2+v^2*z*x+v^2*u*x+v*z*u*x+z^2*u*x+v*z*y*x+v*z*x^2+z^2*x^2+v*y*x^2+v*x^3+z*x^3+v*z*u+z^2*u+v^2*y+z^2*y+v*u*y+v*y^2+v*z*x+v*u*x+v*y*x+z*y*x+u*x^2+v*z+v*u+v*y+v*x+v j[25]=T(5)*y*x^2+T(5)*x^2+T(7)*x^3+T(7)*y*x+T(7)*x^2+T(7)*z+T(7)*x+v*z*y*x^2+v*y*x^3+z^3*u+z^2*u*y+v*z*y^2+v*u*y^2+v^2*z*x+z^3*x+z^2*u*x+v^2*y*x+z^2*y*x+v^2*x^2+v*u*x^2+z*u*x^2+z*y*x^2+z*x^3+u*x^3+v^3+v*z^2+z^3+v*z*u+z^2*u+v^2*y+z^2*y+v*u*y+v*y^2+v^2*x+v*z*x+z^2*x+z*y*x+v*x^2+z*x^2+u*x^2+v*z+v*u+v*y+v*x+v j[26]=T(4)+T(5)*x^2+T(5)+T(7)*y*x^2+T(7)*x^3+T(7)*x^2+T(7)*z+T(7)*x+v*z^2*u+v*u*y^2+v*z*u*x+z^2*u*x+v^2*y*x+v*z*y*x+v^2*x^2+z^2*x^2+v*u*x^2+v*y*x^2+z*y*x^2+z*x^3+u*x^3+v^2*z+v^2*u+v^2*y+z^2*y+v*y^2+v^2*x+v*z*x+v*u*x+v*y*x+v*x^2+u*x^2+v*u+v*x+u*x+v j[27]=T(3)+T(5)*y*x+T(5)+T(7)*y*x+T(7)*z+T(7)*x+v*z*y^2+v*u*y^2+z^2*y*x+v*y*x^2+v^2*z+z^3+v*z*u+v*u*y+v*y^2+z^2*x+z*u*x+z*y*x+v^2+v*z+z^2+v*u+v*y+z*x+u*x+v j[28]=T(2)+T(5)*y*x+T(5)*u+T(5)+T(7)*z*y+T(7)*u*y+T(7)*y*x+T(7)*v+T(7)*z+T(7)*x+v*u*y^3+v*y^4+v*y*x^3+v*z*u*y+v*y^3+v*z*u*x+z^2*y*x+v^2*z+z^3+z^2*u+v^2*y+v*u*y+v*y^2+z*y^2+v^2*x+v*z*x+z*u*x+z*x^2+u*x^2+v^2+v*u+z*u+v*y+u*x+v+z j[29]=T(1)+T(5)*x+T(7)*y*x+T(7)*x^2+T(7)*z+T(7)*x+v*z*y^2+v*u*y^2+v*z*y*x+v*z*u+z^2*u+v^2*y+z^2*y+v*u*y+v*y^2+v^2*x+z^2*x+v*u*x+z*x^2+u*x^2+v^2+v*z+z^2+v*u+v*y+v*x+z*x+u*x+v j[30]=T(7)^2+T(5)*y^3+T(5)*y^2+T(5)*y*x+T(5)*u+T(7)*z*y^4+T(7)*u*y^4+T(7)*v*y^3+T(7)*z*y^2+T(7)*u*y^2+T(7)*y*x^2+T(7)*z*y+T(7)*u*y+T(7)*v+T(7)*u+T(7)*x+v*u*y^6+v*y^7+v*y*x^6+v*z*u*y^4+v*z*y^5+v*u*y^5+v*y^6+v*z*u*x^4+v*y*x^5+v*z^3*y^2+v*z*u*y^3+z^2*y^4+v*u*y^4+z*u*y^4+v*y^5+v*z^3*y*x+v*z^3*x^2+v*z*u*x^3+v*z*y*x^3+v*z*x^4+v*y*x^4+z*y*x^4+v*z^3*y+v*z^2*u*y+v*z*u*y^2+z^2*u*y^2+z^2*y^3+v*u*y^3+z*y^4+u*y^4+v*z^3*x+v*z*u*x^2+z^2*u*x^2+v*z*y*x^2+v*z*x^3+v*y*x^3+v*z^3+z^4+v*z^2*y+z^2*u*y+v*z*y^2+v*u*y^2+z*y^3+y^4+v*z*u*x+v^2*y*x+v*z*y*x+v*z*x^2+z^2*x^2+v*y*x^2+z*y*x^2+y*x^3+v*z^2+v*z*u+z^2*u+v*u*y+z*y^2+u*y^2+v^2*x+v*z*x+z*u*x+z*y*x+z*x^2+u*x^2+v^2+v*u+y^2+z*x+u*x+y*x+v j[31]=T(6)*T(7)+T(7)*y*x^2+T(7)*x^3+T(7)*z*y+T(7)*z+z^3*y^3+z^2*u*y^3+v^3*y^2+v*z^2*y^2+z^3*y^2+z^2*u*y^2+v*u*y^3+v^3*y*x+z^3*y*x+v^3*z+v^2*z*u+v^2*z*y+v*z^2*y+z^3*y+v^2*u*y+v^2*y^2+v*z*y^2+v*u*y^2+v*y^3+v^2*z*x+z^3*x+z^2*u*x+v^2*y*x+v*u*x^2+z*u*x^2+v*y*x^2+v^3+v^2*u+v*z*u+z^2*u+v*z*y+z^2*y+v*y^2+z^2*x+v*u*x+v*x^2+z*x^2+v^2+v*z+z*x j[32]=T(5)*T(7)+T(5)*y*x+T(5)*x+T(7)*v+T(7)*z+z^2*u*y^3+u*y^5+v*z*u*y^2+v*z*y^3+z^2*y^3+v*u*y^3+v*y^4+z*y^4+u*y^4+y^5+v*z*y*x^2+v*y*x^3+y*x^4+v*z^2*u+v*z^2*y+z^3*y+v^2*u*y+z*u*y^2+z*y^3+y^4+v*z*u*x+z*u*x^2+v*y*x^2+y*x^3+v*z^2+z^3+v^2*u+v*z*u+v*z*y+z*u*y+v*z*x+v*y*x+z*y*x+v^2+v*z+z*u+z*y+z*x+z j[33]=T(6)^2+T(7)*y*x^4+T(7)*x^5+T(7)*z*y+T(7)*z+v*z^3*y*x+v*z^3*x^2+v*z^2*u*x^2+z^3*x^3+v^2*u*x^3+v*z*u*x^3+z^2*u*x^3+v*u*x^4+z*u*x^4+z*y*x^4+z*x^5+z^4*u+z^2*u*y^2+v*u*y^3+v^2*z^2*x+v^2*z*u*x+v*z^2*u*x+v^2*z*y*x+v*z^2*y*x+v^2*z*x^2+z^2*u*x^2+v^2*y*x^2+v^2*x^3+v*z*x^3+z^2*x^3+z*u*x^3+v*y*x^3+v*x^4+z*x^4+v^3*z+v^2*z^2+v*z^3+v^2*z*u+v*z^2*u+v^3*y+v^2*z*y+v*z^2*y+z^3*y+v^2*u*y+v^2*y^2+v*z*y^2+z^2*y^2+v*u*y^2+v*y^3+v^3*x+v*z^2*x+v^2*u*x+v*z*u*x+v*z*y*x+v*z*x^2+z^2*x^2+v*u*x^2+v*y*x^2+z*y*x^2+z*x^3+v^2*u+v*z*u+z^2*u+v*z*y+v*y^2+v^2*x+v*y*x+v^2+v*z+z*x j[34]=T(5)*T(6)+T(7)*y*x^3+T(7)*x^4+T(7)*y*x^2+T(7)*x^3+T(7)*y*x+T(7)*x^2+v*z^3*u+v*z^3*y+v*z^2*u*y+v*z^2*y^2+v*z^3*x+v*z^2*u*x+z^3*u*x+v^2*z*y*x+v*z^2*y*x+z^3*y*x+v^2*z*x^2+z^3*x^2+v*z*u*x^2+z^2*u*x^2+v^2*y*x^2+v^2*x^3+v*u*x^3+z*u*x^3+z*y*x^3+z*x^4+u*x^4+z^4+v^2*z*u+z^3*u+v*z^2*y+v*z*u*y+v*z*y^2+v*z*u*x+v^2*y*x+z^2*y*x+v^2*x^2+v*z*x^2+v*u*x^2+v*y*x^2+z*y*x^2+v*x^3+z*x^3+u*x^3+v^2*z+v*z^2+v^2*u+v*z*u+z^2*u+v*z*y+v*u*y+v*z*x+z^2*x+v*u*x+z*u*x+v*y*x+v*x^2+z*x^2+v^2+v*z+z^2+v*y+v*x+z*x j[35]=T(5)^2+T(5)*u+T(5)*y+T(5)*x+T(5)+T(7)*y*x^2+T(7)*x^3+T(7)*u*y+T(7)*y^2+T(7)*y*x+T(7)*x^2+T(7)*v+T(7)*x+v*z^2*u*y+v*z*u*y^2+v*u*y^3+v*y^4+v*y*x^3+v*z^3+z^4+v^2*z*u+v*z^2*u+v^2*z*y+z^3*y+v*z*u*y+v*z*y^2+v*u*y^2+v*y^3+v^2*z*x+z^3*x+z^2*u*x+v*u*x^2+z*u*x^2+v*y*x^2+z^2*u+v^2*y+v*z*y+v*u*y+z*y^2+v^2*x+z^2*x+v*u*x+z*u*x+z*y*x+v*x^2+z*x^2+u*x^2+z^2+v*u+z*u+v*y+v*x+z*x+v+z > ring r1=2,(T(7),T(6),T(5),T(4),T(3),T(2),T(1),v,z,u,y,x),(lp(7),wp(19,15,12,9,9)); > ideal i1=imap(R,j); > option(redSB); > ideal j1=std(i1);j1; j1[1]=u^2+z*y+z*x+u j1[2]=z*u+y^2*x+y*x^2+z j1[3]=z^2+u*y*x j1[4]=v^3+u*y^3*x^2+v*z*y*x+z*y^3*x+z*y^2*x^2+v*u*y*x+v*z*x+v*u*x+u*y^2*x j1[5]=T(1)*z+T(1)*u+v^2+z*y*x+u*y*x+z*x+u*x j1[6]=T(1)*v+z*y^2*x+u*y^2*x j1[7]=T(1)*y^2*x+T(1)*y*x^2+T(1)*u*y+T(1)*u*x+v^2*u+v^2*y+v^2*x+y^3*x^2+y^2*x^3+u*y^2*x+u*y*x^2+v^2+y^2*x^2+y*x^3+u*y*x+u*x^2 j1[8]=T(1)*u*y*x+T(1)*u*y+T(1)*u*x+T(1)*u+v^2*z+v^2*u+u*y^2*x^2+v^2*y+v^2*x+u*y^2*x+u*x^2+u*x j1[9]=T(1)^2+T(1)*y*x+T(1)*x+v*y^2*x j1[10]=T(2)*x+T(1)*u+T(1)*x+T(1) j1[11]=T(2)*z+T(1)*y^2+T(1)*y*x+T(1)*u+v^2+z*y*x+u*y*x+z*x+u*x j1[12]=T(2)*v+y^4*x+y^3*x^2+z*y^3+u*y^2*x j1[13]=T(2)*T(1)+T(1)*u*y+T(1)*y*x+T(1)*u+T(1)*y+T(1)*x+T(1)+v*u*y^2+v*y^2*x+v*y^2 j1[14]=T(2)^2*u+T(1)*y^4+T(1)*y*x^3+T(1)*u*x^2+T(1)*y^3+T(1)*y*x^2+T(1)*u*x+v*y^5+v*y^3*x^2+v^2*u*x+v*u*y^2*x+v^2*y*x+v^2*x^2+y^3*x^3+y^2*x^4+u*y^2*x^2+u*y*x^3+v^2*x+y^2*x^3+y*x^4+u*y*x^2+u*x^3 j1[15]=T(2)^3+T(2)^2*y+T(2)^2+T(1)*y^5+T(1)*y*x^4+T(1)*u*y^3+T(1)*u*x^3+T(1)*y*x^3+T(1)*u*x^2+T(1)*y^3+T(1)*y*x^2+T(1)*y^2+T(1)*x^2+T(1)*u+T(1)+z*y^7+z*y^5*x^2+u*y^7+u*y^6*x+v*y^6+v*y^4*x^2+y^7*x+y^6*x^2+v*z*y^4+v*z*y^3*x+z*y^5*x+v^2*u*y*x+v^2*u*x^2+v*u*y^3*x+u*y^6+u*y^5*x+u*y^4*x^2+v^2*y^3+v^2*x^3+v*y^5+y^7+y^6*x+y^4*x^3+y^2*x^5+v^2*z*y+v*z*y^3+v*z*y^2*x+z*y^4*x+z*y^3*x^2+v^2*u*y+v^2*u*x+v*u*y^3+v*u*y^2*x+u*y^4*x+u*y^3*x^2+u*y*x^4+v^2*y^2+v^2*y*x+v*y^2*x^2+y^6+y^5*x+y^2*x^4+y*x^5+z*y^3*x+z*y^2*x^2+v*u*y^2+u*y^2*x^2+u*y*x^3+u*x^4+v^2*y+v*y^3+y^2*x^3+y*x^4+z*y^2*x+z*y*x^2+u*y^2*x+u*y*x^2+u*x^3+v*y^2+z*y*x+z*x^2+u*x^2 j1[16]=T(3)*x+T(1)*x+T(1)+v^2+z*y*x+u*y*x+z*x+u*x j1[17]=T(3)*y+T(2)*u+T(2)*y+v^2+z*y*x+u*y*x+z*x+u*x j1[18]=T(3)*u+T(3)+T(2)*u+T(2)+T(1)*y^2+T(1)*y*x j1[19]=T(3)*z+T(1)*u*y+T(1)*y^2+T(1)*y*x+T(1)*u+v^2+z*y*x+u*y*x+z*x+u*x j1[20]=T(3)*v+u*y^3*x+z*y^3+u*y^2*x+z*y^2 j1[21]=T(3)*T(1)+T(1)*y*x+T(1)*y+T(1)*x+T(1)+v*z*y^2+v*u*y^2+v^2*y+v*y^2*x+z*y^2*x+u*y^2*x+v^2+v*y^2+z*x+u*x j1[22]=T(3)*T(2)+T(2)^2+T(1)*y^3+T(1)*y*x^2+T(1)*u*x+T(1)*y^2+T(1)*y*x+T(1)*u+v*y^4+v*y^3*x+v*z*y^2+v^2*u+v^2*x+y^3*x^2+y^2*x^3+z*y^2*x+u*y*x^2+y^2*x^2+y*x^3+u*y*x+u*x^2+z*x+u*x j1[23]=T(3)^2+T(2)^2+T(1)*u*y^2+T(1)*u*y+v*u*y^3 j1[24]=T(4)+T(3)+T(1)*y+T(1)*x j1[25]=T(5)+T(3)+T(1)*u+T(1)*y+T(1)*x j1[26]=T(6)+T(1)*y*x+T(1)*x^2 j1[27]=T(7)*x+T(1)*u+T(1)*x+v*z*y+v^2+v*y*x+z*y*x+v*u+u*y*x+z*x+u*x+v j1[28]=T(7)*u+T(3)+T(2)+T(1)*y^2+T(1)*y*x+T(1)*u+v*y^3+v*y^2*x+v*u*y+v*z j1[29]=T(7)*z+T(1)*u*y+T(1)*u+v*u*y^2+v*z*y+v^2+v*y^2+v*y*x+z*y*x+u*y*x+z*x+u*x j1[30]=T(7)*y^2+T(2)^2+T(2)*u+T(2)*y+T(2)+T(1)*u*y+T(1)*y^2+T(1)*y*x+T(1)*u+T(1)*y+T(1)*x+T(1)+v*z*y^2+v^2*y+v*y^3+v*y^2*x+z*y^2*x+u*y^2*x+z*y*x+u*y*x j1[31]=T(7)*v+T(1)*u*y^2+T(1)*y^3+T(1)*y*x^2+T(1)*u*y+T(1)*u*x+T(1)*y^2+T(1)*y*x+T(1)*u+v^2*u+v^2*x+y^3*x^2+y^2*x^3+z*y^2*x+u*y^2*x+u*y*x^2+y^2*x^2+y*x^3+z*y^2+u*x^2+y^2*x+y*x^2+u*x j1[32]=T(7)*T(1)+T(1)*u*y+T(1)*y*x+T(1)*u+T(1)*x+u*y^4*x+y^5*x+y^4*x^2+v*z*y^2+z*y^3*x+u*y^3*x+v^2*y+v*y^2*x+y^4*x+y^3*x^2+u*y^2*x+v^2+z*x+u*x j1[33]=T(7)*T(2)+T(1)*y^3+T(1)*y*x^2+T(1)*u*y+T(1)*u*x+T(1)*y^2+T(1)*y+T(1)*x+T(1)+z*y^5+z*y^4*x+u*y^5+v*y^4+v*y^3*x+v*z*y^2+z*y^4+v^2*u+v*u*y^2+u*y^4+v^2*x+v*y^2*x+y^5+y^4*x+y^3*x^2+y^2*x^3+u*y*x^2+v*y^2+y^4+y^3*x+y^2*x^2+y*x^3+u*y*x+u*x^2+z*x+u*x j1[34]=T(7)*T(3)+T(1)*u*y^2+T(1)*y^3+T(1)*y*x^2+T(1)*u*y+T(1)*u*x+T(1)*y^2+T(1)*u+T(1)*y+T(1)*x+T(1)+y^6*x+y^5*x^2+v*u*y^3+u*y^5+u*y^4*x+v*y^4+v*y^3*x+y^5*x+y^4*x^2+z*y^4+z*y^3*x+v^2*u+v*u*y^2+u*y^4+u*y^3*x+v^2*y+v^2*x+v*y^2*x+y^5+y^4*x+y^3*x^2+y^2*x^3+z*y^3+z*y^2*x+u*y^2*x+u*y*x^2+v^2+v*y^2+y^4+y^3*x+y^2*x^2+y*x^3+u*y*x+u*x^2 j1[35]=T(7)^2+T(2)*u*y^3+T(2)*u*y^2+T(2)*y^3+T(2)*y^2+T(1)*y^5+T(1)*y*x^4+T(1)*u*x^3+T(1)*u*y^2+T(1)*y^3+T(1)*y^2+T(1)*y+T(1)*x+v^2*u*y^2+v^2*u*y*x+v^2*u*x^2+v^2*y^3+v^2*x^3+y^6*x+y^2*x^5+z*y^5+z*y^4*x+v*u*y^3+u*y^4*x+u*y*x^4+v^2*y^2+v^2*y*x+v^2*x^2+y^5*x+y*x^5+u*y^4+u*x^4+v*y^2*x+z*y^3+z*y^2*x+y^4+y^2*x^2+u*y^2+u*y*x+y^2*x+y*x^2+y^2+y*x > ring r2=2,(f34,f29,f26,f23,f19,f15,f12,y9,x9),wp(34,29,26,23,19,15,12,9,9); > map phi=r1,f34,f23*(y9*x9+x9^2),f29+f23*(f12+y9+x9),f29+f23*(y9+x9),f29,f26,f23,f19,f15,f12,y9,x9; > ideal i2=phi(j1); > option(redSB); > ideal j2=std(i2);j2; j2[1]=f12^2+f15*y9+f15*x9+f12 j2[2]=f15*f12+y9^2*x9+y9*x9^2+f15 j2[3]=f15^2+f12*y9*x9 j2[4]=f23*f12+f26*x9+f23*x9+f23 j2[5]=f26*f12+f29*y9+f29*x9+f26*y9+f23*x9+f23 j2[6]=f23*f15+f29*x9+f26*x9 j2[7]=f19^2+f29*x9+f15*y9*x9+f23*x9+f12*y9*x9+f15*x9+f23+f12*x9 j2[8]=f29*f12+f23*y9^2+f23*y9*x9+f29*y9+f29*x9+f26*y9+f23*x9+f29+f26+f23 j2[9]=f26*f15+f23*y9^2+f23*y9*x9+f29*x9+f26*x9 j2[10]=f23*f19+f15*y9^2*x9+f12*y9^2*x9 j2[11]=f19*f15*y9+f34*x9+f29*x9+f19*y9*x9+f26*x9+f23*x9+f19*f12+f19 j2[12]=f29*f15+f26*y9*x9+f23*y9^2+f29*x9+f26*x9+f23*y9 j2[13]=f26*f19+y9^4*x9+y9^3*x9^2+f15*y9^3+f12*y9^2*x9 j2[14]=f34*f12+f19*y9^3+f19*y9^2*x9+f23*y9^2+f23*y9*x9+f19*f12*y9+f26*x9+f19*f15+f23*x9+f29+f26+f23 j2[15]=f23^2+f19*y9^2*x9+f23*y9*x9+f23*x9 j2[16]=f29*f19+f12*y9^3*x9+f15*y9^3+f12*y9^2*x9+f15*y9^2 j2[17]=f34*f15+f19*f12*y9^2+f26*y9*x9+f34*x9+f23*y9*x9+f19*y9^2+f23*y9+f23*x9+f19*f12+f19 j2[18]=f26*f23+f19*f12*y9^2+f19*y9^2*x9+f26*y9*x9+f19*y9^2+f26*x9 j2[19]=f29*f23+f34*y9*x9+f19*f12*y9^2+f26*y9*x9+f23*y9*x9+f19*f12*y9+f29*x9+f19*y9^2+f19*y9 j2[20]=f26^2+f34*y9^2+f34*y9*x9+f19*y9^3+f23*y9^2+f19*f12*y9+f29*y9+f29*x9+f26*x9+f23*y9+f23*x9+f19*y9+f26+f23 j2[21]=f34*f19+f26*y9^2*x9+f23*y9^3+f29*y9*x9+f12*y9^2*x9+f29*x9+f26*x9+f15*y9^2+f23*y9+f12*y9*x9+y9^2*x9+y9*x9^2+f15*x9 j2[22]=f29*f26+f19*y9^4+f19*y9^3*x9+f34*y9^2+f23*y9^3+f23*y9^2*x9+f19*y9^3+f19*y9^2*x9+f29*y9+f23*y9+f23*x9+f26+f23 j2[23]=f34*f23+f12*y9^4*x9+y9^5*x9+y9^4*x9^2+f34*y9*x9+f15*y9^3*x9+f12*y9^3*x9+y9^4*x9+y9^3*x9^2+f15*y9^2*x9+f19*f12*y9+f29*x9+f26*x9+f23*x9+f19*y9 j2[24]=f29^2+f19*f12*y9^3+f26*y9^2*x9+f34*y9^2+f34*y9*x9+f23*y9^2*x9+f19*y9^3+f26*y9*x9+f23*y9*x9+f19*f12*y9+f29*y9+f29*x9+f26*x9+f23*x9+f19*y9+f26+f23 j2[25]=f34*f26+f15*y9^5+f15*y9^4*x9+f12*y9^5+f19*y9^4+f19*y9^3*x9+f34*y9*x9+f15*y9^4+f23*y9^3+f23*y9^2*x9+f19*f12*y9^2+f12*y9^4+y9^5+y9^4*x9+f26*y9*x9+f15*y9^2*x9+f23*y9^2+f19*f12*y9+f29*x9+f19*y9^2+y9^4+y9^3*x9+f19*y9 j2[26]=f34*f29+y9^6*x9+y9^5*x9^2+f19*f12*y9^3+f12*y9^5+f12*y9^4*x9+f19*y9^4+f19*y9^3*x9+y9^5*x9+y9^4*x9^2+f26*y9^2*x9+f15*y9^4+f15*y9^3*x9+f23*y9^3+f19*f12*y9^2+f12*y9^4+f12*y9^3*x9+f19*y9^2*x9+y9^5+y9^4*x9+f15*y9^3+f15*y9^2*x9+f19*y9^2+y9^4+y9^3*x9+f26*x9+f23*y9 j2[27]=f34^2+f23*y9^5+f23*y9^4*x9+f29*y9^4+f29*y9^3*x9+y9^6*x9+y9^5*x9^2+f26*y9^4+f26*y9^3*x9+f15*y9^5+f15*y9^4*x9+f19*f12*y9^3+f29*y9^3+f29*y9^2*x9+y9^5*x9+y9^4*x9^2+f26*y9^2*x9+f23*y9^3+f12*y9^4+f12*y9^3*x9+f19*y9^2*x9+f26*y9^2+f15*y9^3+f15*y9^2*x9+f23*y9^2+y9^4+y9^2*x9^2+f23*y9+f23*x9+f12*y9^2+f12*y9*x9+y9^2*x9+y9*x9^2+y9^2+y9*x9 \end{verbatim} \end{document}