To give one example, the number of categories in the tag dictionary's entry for the word is is 45 (only considering categories which have appeared at least 10 times in the training data).
in the sentence Mr. Vinken is chairman of Elsevier N.V., the Dutch publishing group., the supertagger correctly assigns 1 category to is for β = 0.1, and 3 categories for β = 0.01.