"excogitated" in the verb sense
1. invent, contrive, devise, excogitate, formulate, forge
come up with (an idea, plan, explanation, theory, or principle) after a mental effort
"excogitate a way to measure the speed of light"
2. chew over, think over, meditate, ponder, excogitate, contemplate, muse, reflect, mull, mull over, ruminate, speculate
reflect deeply on a subject
"I mulled over the events of the afternoon"
"philosophers have speculated on the question of God for thousands of years"
"The scientist must stop to observe and start to excogitate"
Source: WordNet® (An amazing lexical database of English)
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