a12, a02, a03, a20, a30, a11, a21, 
a02*a11+a11*a20+3*a03+a21
9*a02*a11*a20-2*a11^3-9*a02*a21+54*a03*a20-9*a11*a12-18*a11*a30
3*a02*a11*a30+3*a02*a20*a21-9*a03*a20^2-2*a11^2*a21+3*a11*a12*a20+18*a03*a30-3*a12*a21-3*a21*a30
3*a02*a21*a30-18*a03*a20*a30+3*a11*a12*a30-2*a11*a21^2+3*a12*a20*a21
-27*a03*a30^2+9*a12*a21*a30-2*a21^3
