### The Maxima on-line user's manual

Algebra Calculator

#### Orbit

Function: orbit (<P>, <lvar>) computes the orbit of the polynomial <P> in the variables in the list <lvar> under the action of the symmetric group of the set of variables in the list <lvar>.

```          (%i1) orbit (a*x + b*y, [x, y]);
(%o1)                [a y + b x, b y + a x]
(%i2) orbit (2*x + x^2, [x, y]);
2         2
(%o2)                 [y  + 2 y, x  + 2 x]
See also `multi_orbit` for the action of a product of symmetric
groups on a polynomial.```

There are also some inexact matches for `orbit`. Try `?? orbit` to see them.

```(%o1)                                true
(%i2) ```

### Related Examples

##### orbit

orbit (x,ay [x, y]);

orbit (2*x + x^2, [x...

Calculate

##### orbit

orbit (a*x + b*y, [x,...

orbit (2*x + x^2, [x...

Calculate

? orbit;

Calculate

##### orbit

orbit (x,ay [x, y]);

orbit (2*x + x^2, [x...

Calculate

##### orbit

orbit (a*x + b*y, [x,...

orbit (2*x + x^2, [x...

Calculate

? orbit;

Calculate