//SINGULAR Example 1.2.12



ring A1 = 0,(x,y,z),lp;       //lexicographical
poly f = x3yz + y5 + z4 + x3 + xy2; f;

ring A2 = 0,(x,y,z),dp;      //degree reverse lexicographical
poly f = imap(A1,f); f;

ring A3 = 0,(x,y,z),Dp;      //degree lexicographical
poly f = imap(A1,f); f;

ring A4 = 0,(x,y,z),Wp(5,3,2);//weighted degree 
                              //lexicographical
poly f = imap(A1,f); f;

ring A5 = 0,(x,y,z),ls;      //negative lexicographical
poly f = imap(A1,f); f;

ring A6 = 0,(x,y,z),ds;       //neg. degree revers 
                              //lexicographical
poly f = imap(A1,f); f;

ring A7 = 0,(x,y,z),Ws(5,3,2);//neg. weighted degree 
                              //lexicographical
poly f = imap(A1,f); f;

ring A8 = 0,(x,y,z),(dp(1),ds(2)); //mixed product ordering
poly f = imap(A1,f); f;

intmat A[3][3] = -1, -1, -1, 0, 0, 1, 0, 1, 0;
print(A);

ring A9 = 0,(x,y,z),M(A); //a local ordering
poly f = imap(A1,f); f;