The deep phylogeny of eukaryotes is an important but extremely difficult problem of evolutionary biology. Five eukaryotic supergroups are relatively well established but the relationship between these supergroups remains elusive, and their divergence seems to best fit a "Big Bang" model. Attempts were made to root the tree of eukaryotes by using potential derived shared characters such as unique fusions of conserved genes. One popular model of eukaryotic evolution that emerged from this type of analysis is the unikont-bikont phylogeny: The unikont branch consists of Metazoa, Choanozoa, Fungi, and Amoebozoa, whereas bikonts include the rest of eukaryotes, namely, Plantae (green plants, Chlorophyta, and Rhodophyta), Chromalveolata, excavates, and Rhizaria. We reexamine the relationships between the eukaryotic supergroups using a genome-wide analysis of rare genomic changes (RGCs) associated with multiple, conserved amino acids (RGC_CAMs and RGC_CAs), to resolve trifurcations of major eukaryotic lineages. The results do not support the basal position of Chromalveolata with respect to Plantae and unikonts or the monophyly of the bikont group and appear to be best compatible with the monophyly of unikonts and Chromalveolata. Chromalveolata show a distinct, additional signal of affinity with Plantae, conceivably, owing to genes transferred from the secondary, red algal symbiont. Excavates are derived forms, with extremely long branches that complicate phylogenetic inference; nevertheless, the RGC analysis suggests that they are significantly more likely to cluster with the unikont-Chromalveolata assemblage than with the Plantae. Thus, the first split in eukaryotic evolution might lie between photosynthetic and nonphotosynthetic forms and so could have been triggered by the endosymbiosis between an ancestral unicellular eukaryote and a cyanobacterium that gave rise to the chloroplast.