There are several synonyms for the phrase "not under consideration." Some of these synonyms include disregarded, omitted, rejected, overlooked, excluded, dismissed, and ignored. Each of these words can be used interchangeably with "not under consideration" depending on the context and intention of the sentence. For instance, "dismissed" implies a swift and authoritative rejection of something, while "overlooked" suggests that something may have slipped through the cracks and was not given proper scrutiny. Regardless of which synonym is chosen, it is clear that the idea being conveyed is that something has been explicitly excluded from consideration or given little to no attention.