My suggestion is to put the Red Albino Hifin/Lyretail female with the Albino Koi male. Also check and see if any fry from a previous mating are born and if so, raise those Lyretail females and use them to breed to the Albino Koi.
It's not as complicated as people try to make it. But to get good Koi color you'll need to breed back to the best Koi even after the trait is captured on Lyretail.
Your F1's will probably not show the Koi pattern, unless the Lyretails are carrying it. It will appear in the offspring of the F1's.
Darrell E. Mefford (former Fancy Xiphophorus Specialist)
Thanks, that helps a lot. It's nice that lyretail is dominant =D
Also, do you think the red swords will make the koi coloration of the future generations redder on the orange parts?