I don't know about the specific pigments per species, but the usual rule (and I think this applies to officinalis, at least) is that there are three layers of chromatophores and then leucophores underneath. The leucophores reflect white light, and are the blank canvas, but tends to pick up the colors in the environment. The 3 layers of chromatophores go from light yellow-brown at the deepest layer, to medium rusty brown in the middle layer, to black at the top (note: I may have the layers backwards.) So the displays have things that contribute to color: the yellows and browns of the chromatophores and the color reflection of the leucophores. There are also iridophores which provide reflection of iridescence and polarization, and probably have some effect on color as well.
The main point to remember is that the cuttlefish don't see color, so their matching of colors in the environment is passive, so that in their normal settings, their responses on seeing a black-and-white pattern will make a pattern, partially colored, that looks cryptic to animals like us that have color vision. But the cuttles don't see it. Similarly, with flamboyant cuttles and blue-ringed octos, they have dramatic color displays to warn off enemies that they're toxic, but they can't see the colors.
In think the take-home lesson for cuttles is that they don't see color, but between seeing shades of grey and using the built-in palette of their chromatophores, and the environmental colors reflected by leucophores and iridophores, they are able to produce displays that are colorful to those of us who can see color, as well as matching their environment for effective camouflage against animals who can see color.