This is not a Goldfish nor Hybrid. Japanese Carassius Long fin type "Tetsugyo". It's a Natural monument of Miyagi Prefecture. One Fish is changing Color. It's said It's a Mutation of Kinbuna Long Fin form / Carassius buergeri subsp.1. var (Miyagi pref) though. Number of Dorsal Fin Comptotrichia is a bit too many. So Probably the Basic Fish is "Ginbuna" (Carassius auratus langsdorfii) .
Carassius buergeri subsp.1 ver Tetsugyo Babies. It is not a Comet nor a Goldfish.
This is Not a Goldfish. or Nagabuna Long Fin form / Carassius auratus subsp.1 var Tetsugyo
or Ginbuna Long Fin form / Carassius langsdorfi var var Tetsugyo