Abstract
Let k be a non-negative integer. Then any embedding of the complete graph on 6·2k vertices into a three-space contains a two-component link with the absolute value of its linking number greater than or equal to 2k. Let j be a non-negative integer. Then any embedding of the complete graph on 48·2j vertices into a three-space contains a knot with the absolute value of the second coefficient of its Conway polynomial greater than or equal to 22j.
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