Here's what rhymes with poietai.
by die buy tie bi bye dye pi pie thai dei ty tai my high why dry lie thy try y guy vi hi shy sigh chi fi hy nigh spy thigh vie ly ply psi quae rye wir awry hai lye mai muy nai pry tri trie wry cy fy kai lai luy mei pri sy thei wai phi sty stye apply cry fly sky deny defy fry sly belie pupae untie spry amebae turfy slier supply reply thereby imply nearby rely whereby hereby goodbye alibi decry typify amoebae edify aquae bonsai deify retry triply stupefy lanai ripply banzais overbuy justify occupy comply modify testify butterfly certify notify underlie pacify ratify standby beautify lullaby termini terrify codify descry overlie ossify blowfly petrify scurfy barfly prettify shanghai beatify drachmai speechify dandify yuppify identify satisfy multiply nuclei specify alkali verify gratify purify amplify fortify nullify rectify samurai unify dignify mollify mortify ramify resupply vilify acidify firefly mystify stratify stultify ultrahigh vivify horrify misapply overfly versify hyperbolae mummify vitrify gentrify stimuli clarify qualify classify signify simplify glorify quantify alveoli diversify magnify falsify solidify crucify liquefy objectify oversupply personify demystify detoxify preoccupy calcify reunify dissatisfy liquify scarify refortify syllabify intensify indemnify dragonfly electrify emulsify revivify cumuli declassify exemplify disqualify reclassify misidentify solemnify oversimplify transmogrify