Conjecture on - Idioms by The Free Dictionary
conjecture on (something)
To speculate or wonder about something. A murmur went through the stands as people conjectured on which dog would be named the winner.
conjecture on something
to speculate on or guess about something. I will not even conjecture on the outcome. Dave conjectured on what might happen next.
References in classic literature
The author's conjecture on
the name of the Red Sea.
The class decided it would be fair to post Cody's original conjecture on
our conjecture wall and also put up a class conjecture using Megan's algebraic representation.