draw regions defined by inequality



Hi,

How can I draw points z defined by inequality :


(C*z^6)/z < 0 ;

where :

* z is a complex point
* C is a complex point


C : 15.31858176724506-17.39503852518886*%i ;

It should be 5 half lines  (creating 5-arm star )
crossing at :
z :0.154508497187474  +0.475528258147577*%i;


I know :
http://riotorto.users.sourceforge.net/gnuplot/region/index.html


TIA

Adam

PS

Theory is here
http://num.math.uni-goettingen.de/~summer/cheritat.pdf