Shi 詩 is not found in Bashō haiku ?
Without shi, gin (吟) occurs only once in my collection of Bashō, yet the shi ( し ) mora is, of course, found repeatedly.
But naku (なく) is also to be found a few times. There is 鳴く and there is also the occurrence in
俤や姨ひとり泣く月の友
詠う or うたう are not present, but we do find 歌.
謳 is, of course, not found.