source: git/Tst/Manual/_invariantRing.tst @ 6fb723

spielwiese
Last change on this file since 6fb723 was e197f5, checked in by Oleksandr Motsak <motsak@…>, 12 years ago
fix due to case sensitive file systems fix: tests from Manual/ with only case different names chg: updated *.uu results as well! chg: updated regress.cmd to remote the leading _ for tests starting with "_[a-z0-9]" during the TC output NOTE: the tests with lower case names got a leading underscore character (_)
  • Property mode set to 100644
File size: 592 bytes
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1LIB "tst.lib"; tst_init();
2LIB "ainvar.lib";
3//Winkelmann: free action but Spec(k[x(1),...,x(5)]) --> Spec(invariant ring)
4//is not surjective
5ring rw=0,(x(1..5)),dp;
6matrix m[5][1];
7m[3,1]=x(1);
8m[4,1]=x(2);
9m[5,1]=1+x(1)*x(4)+x(2)*x(3);
10ideal in=invariantRing(m,x(3),x(1),0);      //compute full invarint ring
11in;
12//Deveney/Finston: The ring of invariants is not finitely generated
13ring rf=0,(x(1..7)),dp;
14matrix m[7][1];
15m[4,1]=x(1)^3;
16m[5,1]=x(2)^3;
17m[6,1]=x(3)^3;
18m[7,1]=(x(1)*x(2)*x(3))^2;
19ideal in=invariantRing(m,x(4),x(1),6);      //all invariants up to degree 6
20in;
21tst_status(1);$
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