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Ascending numbers are determined for 64 knots with at most n=10 crossings.After proving the theorem about the signature of alternating knot families, wedistinguished all families of knots obtained from generating alternating knotswith at most 10 crossings, for which the unknotting number can be confirmed byusing the general formulae for signatures. For 11 families of knots generalformulae are obtained for their ascending numbers.

Unknotting and Ascending Numbers of Knots and their Families