Ab9#11 answers a naming puzzle: sounds like a flat fifth, yet the natural fifth remains present. The notes are Ab, C, Eb, Gb, Bb and D.
The symbol therefore describes an added raised fourth above , not a fifth that has been replaced. A voicing should make that distinction audible.
Also written Ab9(#11), Ab9+11 or Ab9♯11.

Ab9#11 in root position puts Ab in the bass, which is the chord as it is spelled: the note it is named after underneath everything else.
5 of Ab9#11’s 6 shapes do this:4343344x453x454544xx6778x-11-12-11-13-x
Ab9#11 is a dominant with its tension raised, so it still points at — harder than a plain seventh does. A plain dominant has two voices a semitone from home; an altered one has four, because every altered tone is also sitting a semitone from a note of Db. More voices leaning the same way is all "more tension" means here.
Adds thirteenth, for a dominant sharp-eleventh color.
The common shapes and the derived voicings come from different places, and both are explained in how this site is built.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.