#1771 algsys with domain : complex

[Barton Willis]

Wrong:

(%i1) algsys([y - (-1)^(1/3), x = y^3],[x,y]), domain : complex;
(%o1) []

OK:

(%i2) algsys([y - (-1)^(1/3), x = y^3],[x,y]), domain : real;
(%o2) [[x=-1,y=-1]]

[David Billinghurst]

The behaviour has changed. With maxima-5.41 I get

Maxima 5.41.0a_dirty http://maxima.sourceforge.net
using Lisp SBCL 1.3.18
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) display2d:false;

(%o1) false
(%i2) algsys([y - (-1)^(1/3), x = y^3],[x,y]), domain : complex;

(%o2) [[x = -1,y = (-1)^(1/3)]]

[Robert Dodier]

Hmm, the result [[x = -1,y = (-1)^(1/3)]] for algsys([y - (-1)^(1/3), x = y^3],[x,y]), domain : complex; seems correct; is it not?

[David Billinghurst]

I agree. I just wanted to think about it for a while. Probably fixed when I removed calls to radcan in late 2016.