| Download
All published worksheets from http://sagenb.org
Project: sagenb.org published worksheets
Views: 168784Image: ubuntu2004
R
PolynomialRing
R
PolynomialRing
3 4 2 2 3 4 2 2
ideal (- t t t + x , - t t t + x , - t t t + x , - t t + x )
1 2 3 1 1 2 3 2 1 2 3 3 1 3 4
Ideal of R
GroebnerBasis[status: done; S-pairs encountered up to degree 34]
GroebnerBasis
+---------------+
| 3 21 11 4 |
|x x - x x |
| 1 3 2 4 |
+---------------+
| 8 3 2 16 |
|t x x - x x |
| 3 2 4 1 3 |
+---------------+
| 5 3 |
|t x x - x x |
| 3 1 3 2 4 |
+---------------+
| 2 5 2 11 |
|t x x - x x |
| 3 2 4 1 3 |
+---------------+
| 3 2 6 |
|t x x - x |
| 3 2 4 3 |
+---------------+
| 4 |
|t x - x x |
| 3 1 2 3 |
+---------------+
| 2 |
|t x - x |
| 2 3 2 |
+---------------+
| 2 3|
|t x x - t x x |
| 2 2 4 3 1 3|
+---------------+
| 3 4 |
|t t x x - x |
| 2 3 2 4 3 |
+---------------+
| 2 |
|t x x - t x x |
| 2 2 4 3 1 3|
+---------------+
| 2 3 2 |
|t t x - x |
| 2 3 4 3 |
+---------------+
| 3 |
|t x x - t x |
| 2 3 4 3 1 |
+---------------+
| 5 2 2 |
|t t x - x x |
| 2 3 4 1 3 |
+---------------+
| 8 3 2 |
|t t x - x |
| 2 3 4 1 |
+---------------+
|t x - t t x |
| 1 3 2 3 4 |
+---------------+
| 2 |
|t x - t t x x |
| 1 2 2 3 3 4|
+---------------+
| 4 2 |
|t x - t x |
| 1 1 2 4 |
+---------------+
| 2 |
|t t t - x |
| 1 2 3 3 |
+---------------+
| 4 |
|t t t x - x |
| 1 2 3 4 1 |
+---------------+
| 2 |
|t t - x |
| 1 3 4 |
+---------------+
2
t x x x
3 1 2 4
R