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From Wikipedia, the free encyclopedia


In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven. It is the simplest torus knot after the trefoil and cinquefoil.

The 71 knot is invertible but not amphichiral. Its Alexander polynomial is

its Conway polynomial is

and its Jones polynomial is

[1]

Example

Assembling of 7₁ knot.


See also

References


This page was last edited on 19 May 2017, at 18:58.
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