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The Cinquefoil knot, also known as Solomon's Seal knot, and 51 in most tables, is a (5,2)-torus knot with five crossings. Its writhe is 5, it is invertible, but not amphichiral.[1] It has the same Alexander polynomial as knot 10132. It's Jones polynomial is q−2 + q−4−q−5 + q−6−q−7.[2] Its name comes from cinque meaning five, and foil meaning leaf.
References edit
- ^ Weisstein, Eric W. "Solomon's Seal Knot." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SolomonsSealKnot.html
- ^ http://katlas.math.toronto.edu/wiki/5_1