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The tabulation of prime knot projections with their mirror images up to eight double points

The tabulation of prime knot projections with their mirror images up to eight double points

This paper provides the complete table of prime knot projections with their mirror images, without redundancy, up to eight double points systematically thorough a finite procedure by flypes. In this paper, we show how to tabulate the knot projections up to eight double points by listing tangles with at most …