suppose has 14 distinct synonyms spread across 5 of its 5 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
to believe especially on uncertain or tentative grounds
“Scientists supposed that large dinosaurs lived in swamps”
take for granted or as a given; suppose beforehand
“I presuppose that you have done your work”
require as a necessary antecedent or precondition
“This step presupposes two prior ones”
Synonyms, antonyms and the broader and narrower relations for suppose come from Princeton University’s WordNet. Full sources and licences.