The Only Use

conjecture
in
The Adventures of Tom Sawyer
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He went on listening, and gathered by odds and ends that it was conjectured at first that the boys had got drowned while taking a swim; then the small raft had been missed; next, certain boys said the missing lads had promised that the village should "hear something" soon; the wise-heads had "put this and that together" and decided that the lads had gone off on that raft and would turn up at the next town below, presently; but toward noon the raft had been found, lodged against the Missouri shore some five or six miles below the village —and then hope perished; they must be drowned, else hunger would have driven them home by nightfall if not sooner.†
Chpt 15

conjectured = concluded or guessed based on inconclusive evidence

Definitions:

(1) (conjecture)
a conclusion or opinion based on inconclusive evidence; or the act of forming of such a conclusion or opinion

A conjecture can be widely believed, but the word is also frequently used to imply that evidence is insufficient to support a belief.
(2) (meaning too rare to warrant focus)