### How to restrict the range of a parametric plot and draw the branches in different colors

Hi
The following plot

```
var('t')
parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6,
```~~6),detect_poles=True)
~~6),,xmin=-3,xmax=3,detect_poles=True)

has three branches. 1) For some reason, the ~~result ~~plot is not correct. ~~Restricting via~~Also

```
var('t')
```~~ ~~parametric_plot( (8*(6+t)/(t^2-16), 2*(8+ 3 *t)/(t^2-16)), (t, -6, ~~6),xmin=-3,xmax=3)
~~6),xmin=-3,xmax=3,ymin=-3,ymax=3)

~~also fails
How ~~fails. 2)How to plot the branches in different colors?