Greek also had an alpha copulativum, a- or ha-, expressing union or likeness, which is the a- expressing "together" in acolyte, acoustic, Adelphi, etc. It is from PIE root *sem- (1) "one; as one, together with."
1690s, from French symptomatique or directly from Late Latin symptomaticus, from symptomat-, stem of symptoma (see symptom). General sense of "indicative (of)" is from 1751. Related: Symptomatical (1580s).
<a href="https://www.etymonline.com/word/asymptomatic">Etymology of asymptomatic by etymonline</a>
Harper, D. (n.d.). Etymology of asymptomatic. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/asymptomatic