Sally,
You can tell the following.
Your RH/PB/GB male is split for Black Head (Red Head is dom. to black)
Any cocks from your yellow female are going to get one "yellow Z" gene and if she mates with a normal GB male they get a "green Z" from him.
Therefore any male bird from this pairing is going to be a dilute back. Each bird is going to have a 50/50 shot at being Red head or black head depending on which gene get's passed on by the RH male.
Finally, you've got a purple breast and a white breast. White is res. so she's got to have two white genes for the white chest. So you can safely say that every baby is split for white breast.
Your male could be double factor purple breast or split for white or lilac. If you only ever get purple chest birds, it's probably safe to say that he's double factor for purple breast, but if you ever get a bird with a white chest you'll know that he's split for white breast.

isn't this fun!!