reconstruct vs conjecture

reconstruct is not a noun while conjecture is a noun.

Word	Noun	Adjective	Verb	Adverb
reconstruct	No	No	Yes	No
conjecture	Yes	No	Yes	No

As verbs, conjecture is a hypernym of reconstruct; that is, conjecture is a word with a broader meaning than reconstruct:

Other hypernyms of reconstruct include hypothecate, hypothesise, hypothesize, speculate, suppose, theorise, theorize.

reconstruct (noun)	conjecture (noun)
	a hypothesis that has been formed by speculating or conjecturing (usually with little hard evidence)
	reasoning that involves the formation of conclusions from incomplete evidence
	a message expressing an opinion based on incomplete evidence

reconstruct (verb)	conjecture (verb)
do over, as of (part of) a house	to believe especially on uncertain or tentative grounds
cause somebody to adapt or reform socially or politically
reassemble mentally
build again
return to its original or usable and functioning condition