I believe they are blue and chocolate. Chocolate is sex linked recessive, so I would breed a chocolate cockerel over blue hens, then take any resultant mauve pullets back to chocolate to produce mauve cockerels.
Blue is incomplete dominant, so mauve x mauve would produce both chocolate and splash/choc (don't know what to call that) offspring as well.
ETA: a good laced blue such as the mauve hen shows, requires additional melanisers and lacing genes to achieve. These are likely only on the blue line, so will need to be bred for. Mauve cockerel offspring from BC1 could then be bred over blue hens again to get those genes back in.