Necessary enzymes for those reactions in theory: unknown (CR00339: CA00043 -> CA00166) --> unknown (CR00369: CA00166 -> CA00265) --> unknown (CR00152: CA00265 -> CA00717)
Ref.637 : Akos T. Kovacs, Ga´bor Rakhely, and Kornel L. Kovacs, APPLIED AND ENVIRONMENTAL MICROBIOLOGY, June 2003, p. 3093–3102, "Genes Involved in the Biosynthesis of Photosynthetic Pigments in the Purple Sulfur Photosynthetic Bacterium Thiocapsa roseopersicina", DOI: 10.1128/AEM.69.6.3093–3102.2003 Ref.690 : Enfissi EM, Nogueira M, Bramley PM, Fraser PD, Plant J. 2017 Feb;89(4):774-788. doi: 10.1111/tpj.13428. Epub 2017 Feb 7., "The regulation of carotenoid formation in tomato fruit.", PMID: 27865019 DOI: 10.1111/tpj.13428