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понятия не имею stresses
gen.	I haven't the least clue (Anglophile); you can search me (Anglophile); I've no idea; you've got me there (something that you say when you do not know the answer to a question Ин.яз); you got me (Ремедиос_П); got me (Ремедиос_П); I wouldn't know (Taras); search me (в ответ на вопрос: "Why did they do that?" "Search me." vogeler); it beats me (It beats me how she got the job vogeler); I have no way of knowing that (- What's going to happen, Major? – I have no way of knowing that, sir Taras); beats the hell outta me (outta = out of vogeler); beats the hell out of me (outta = out of vogeler)
inf.	dunno (Anglophile); I haven't the slightest idea (Yeldar Azanbayev); I haven't the slightest (подразумевается – idea, но не говорится SirReal); I haven't the foggiest (подразумевается – idea, но не говорится SirReal); beats me (It beats me how she got the job • It beats me how they finished before us. vogeler)
понятия не имею!
gen.	search me!; I have no idea (Alexander Demidov)
понятия не иметь
gen.	have no idea; have no notion; no idea; no notion; be completely unaware (of / that: We were completely unaware that alternatives existed. – Мы понятия не имели, что были какие-то другие варианты. ART Vancouver); do not know (Yeldar Azanbayev); not know beans (Супру); have no conception of (He has no conception of how difficult life is if you're unemployed. fddhhdot)
rhetor.	have no clue about (about ... – о(б) ... Alex_Odeychuk)
Понятия не имею
gen.	No clue (kartaslov.ru LilyYankova)

понятия не имею: 70 phrases in 6 subjects

Australian	2
General	37
Idiomatic	3
Informal	7
Makarov	17
Rhetoric	4