implication vs implicational

implication is a noun but implicational is not a noun.

Word	Noun	Adjective	Verb	Adverb
implication	Yes	No	No	No
implicational	No	Yes	No	No

implication (noun)	implicational (noun)
a meaning that is not expressly stated but can be inferred
something that is inferred (deduced or entailed or implied)
an accusation that brings into intimate and usually incriminating connection
a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false

implication (adjective)	implicational (adjective)
	relating to or concerned with logical implication