groebner基计算时，含有a1，a2,a3,...,an个自变量的非线性方程组问题化简问题

lhrman

a1*a2+2*a1*a3+a2*a3=0
a1^2+a1*a2+a2^2+a2*a3+a3^2=1/4;
a1+a2+a3=1
# w: e# w! n2 p  n0 U8 c7 t8 T用with（Groebner）；
然后输入
! S% k. E2 M7 E1 {, W. {, lx := seq(a[k], k = 0 .. n)
8 u0 H/ d/ l, |8 G: a5 [ Basis(pl1, plex(x));
%;
: {" ^3 K* W. R) {6 v  V8 J: o2 ]' sError, too many levels of recursion
Basis(pl1, prod(x));
%;
Error, too many levels of recursion
然后显示错误求高手指点，我做的东西最好用a1,a2,...,an这样设置未知数我好编程