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It is not an easy question to answer!
Anyhow there is an "Irregular Verb Dictionary" that sorts out more than 470 verbs. Just check the following link to have a look:
http://www.englishpage.com/irregularverbs/irregularverbs.html
Apologized for the answer, I do not know the answer Leave for the professionals.
http://www.englishpage.com/irregularverbs/irregularverbs.html
370 irregular verbs used in modern English
Agree with your specialties answers. Thanks
If we exclude prefixed and compounded derivatives, there are 250 or so. (Quirk et al)