select rat[a,b,c,u,v,x,y,z; 
{{1,1,1,2,2,2,2,2},
{1,1,1,0,0,0,0,0},
{0,0,0,0,1,1,1,1},
{0,0,0,0,1,1,1,0},
{0,0,0,0,1,1,0,0},
{0,0,0,0,1,0,0,0},
{1,1,0,0,0,0,0,0},
{1,0,0,0,0,0,0,0}}]$

h:=ideal(x-a^2 ,y-b^2,z-c^2,u-a*b+b*c,v-a*c+b*c)$

k := standard(h)$