5.1.120 print

Syntax:

print ( expression )
print ( expression, "betti" )
print ( expression, format_string )

Type:

string

Purpose:

The first form prints the expression.
The second form prints the graded Betti numbers from a matrix. The Betti numbers are printed in a matrix-like format where the entry in row and column is the minimal number of generators in degree of the -th syzygy module of (the 0th and 1st syzygy module of is and , resp.).
The last form returns the printed output as a string depending on the format string iwhich determines the format to use to generate the string.

The following format strings are supported:

"%s"

returns string( expression ),

"%2s"

similar to "%s", except that newlines are inserted after every comma and at the end,

"%l"

similar to "%s", except that each object is embraced by its type such that it can be directly used for "cutting and pasting",

"%2l"

similar to "%l", except that newlines are inserted after every comma and at the end,

"%;"

returns the string equivalent to typing expression;

"%t"

returns the string equivalent to typing type expression;

"%p"

returns the string equivalent to typing print(expression);

"%b"

returns the string equivalent to typing print(expression, "betti");

"betti"

is not a format string.

Example:

ring r=0,(x,y,z),dp; module m=[1,y],[0,x+z]; m; ==> m[1]=y*gen(2)+gen(1) ==> m[2]=x*gen(2)+z*gen(2) print(m); // the columns generate m ==> 1,0, ==> y,x+z string s=print(m,"%s"); s; ==> y*gen(2)+gen(1),x*gen(2)+z*gen(2) s=print(m,"%2s"); s; ==> y*gen(2)+gen(1), ==> x*gen(2)+z*gen(2) ==> s=print(m,"%l"); s; ==> module(y*gen(2)+gen(1),x*gen(2)+z*gen(2)) s=print(m,"%;"); s; ==> m[1]=y*gen(2)+gen(1) ==> m[2]=x*gen(2)+z*gen(2) ==> s=print(m,"%t"); s; ==> // m module , rk 2 ==> m[1]=y*gen(2)+gen(1) ==> m[2]=x*gen(2)+z*gen(2) s=print(m,"%p"); s; ==> 1,0, ==> y,x+z intmat M=betti(mres(m,0)); print(M,"betti"); ==> 0 1 ==> ------------------ ==> 0: 1 1 ==> ------------------ ==> total: 1 1 ==> list l=r,M; s=print(l,"%s"); s; ==> (QQ),(x,y,z),(dp(3),C),1,1 s=print(l,"%2s"); s; ==> (QQ),(x,y,z),(dp(3),C), ==> 1,1 ==> s=print(l,"%l"); s; ==> list("(QQ),(x,y,z),(dp(3),C)",intmat(intvec(1,1 ),1,2))