What is the synonym for connotation?

Connotation:noun:
a. a secondary meaning or implication of a Word or expression, in addition to its primary meaning; idea or notion suggested by or associated with a Word, phrase, etc. in addition to its explicit meaning, or denotation.
b. the act of connoting.
c. the properties possessed by all the objects in a term's extension; intention.

Synonyms: essence, hint, indication, insinuation, intention, implication, meaning, sense, signification, suggestion, undertone.