2 problems
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The virtual-knot separation conjecture for non-isomorphic Galkin quandles
Virtual-knot separation conjecture. For any pair of non-isomorphic Galkin quandles, there is a virtual knot with different numbers of colorings by the two quandles.
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The equal-coloring-count conjecture for the listed Galkin quandles
Equal-coloring-count conjecture. The listed Galkin quandles have the same numbers of colorings for all knots.