Difference between Imply and Connote

IMPLY vs CONNOTE: VERB

To express or state indirectly.
To make evident indirectly: : suggest.
To involve by logical necessity; entail.
To refer, ascribe, or attribute.
To infold or involve; to wrap up.
To involve in substance or essence, or by fair inference, or by construction of law, when not include virtually.

To mark along with; to suggest or indicate as additional; to designate by implication; to include in the meaning; to imply.
To imply as an attribute.
To have as a related or attendant condition.
To suggest or imply in addition to literal meaning.

To contain by implication; include virtually; involve; signify or import by fair inference or deduction; hence, to express indirectly; insinuate.
To infold; inclose; inwrap.
In logic

Same as connotate.
To signify; mean; imply.
[This meaning was introduced by J. S. Mill. A word connotes those attributes which its predication of a subject asserts that that subject possesses. But connote is now often loosely used in such a sense that any attribute known to be possessed by all the objects denoted by a term is said to be connoted by that term. Mill discountenances this use of the word.
Synonyms Note, Denote, Connote, See the definitions of these words.
To have a meaning or signification in connection with another word.
As in logic

Constitute, Presume, Insinuate, Presuppose, Infer, Denote, Signify, Indicate, Suggest, Incriminate, Entail, Inculpate, Involve, Connote, Mean

Characterize, Convey, Betoken, Symbolize, Equate, Ascribe, Allude, Signify, Appoint, Denote, Nominate, Designate, Mean, Predicate, Imply

Implicate, Believe, Represent, Necessitate, Presume, Insinuate, Presuppose, Infer, Denote, Indicate, Suggest, Incriminate, Inculpate, Involve, Mean

Personify, Embody, Characterize, Convey, Betoken, Equate, Ascribe, Allude, Denote, Appoint, Nominate, Designate, Mean, Predicate, Imply

What does a small value of K imply?
Hebrew word does not in fact imply force.
Ss, but do not nessarily imply drought elimination.
HIGHLIGHT ON imply LOWLIGHT OFF and vice versa.
Now, what does this imply about the ADALINE?
The court is reluctant to imply retroactive application.
Silence or absence of resistance does not imply consent, and past consent to sexual contact or activity does not imply ongoing or future consent.
Registration does not imply endorsement by any state or agency and does not imply a level of skill, education, or training.
Duties imply rights, and rights imply legitimate expectations.
Superficially, organizational rewards can imply one organizational norm but at the deepest level imply something completely different.