Figure eight knot—Dave Richeson

Table of Contents

# Names and notations

## Rolfsen notation

4_{1}

## Dowker-Thistlethwaite notation

4 6 8 2

## Conway notation

TBD

## Braid notation

TBD

# Knot properties

## Alternating knot

Yes

## Tricolorable

No

## Amphicheiral

Yes

# Numerical knot invariants

## Unknotting number

1

## Bridge number

2

## Crossing number

4

## Genus

1

# Knot polynomials

## Jones polynomial

$q^2-q + 1-q^{-1} + q^{-2}$

## Alexander polynomial

$-t + 3-t^{-1}$

## HOMFLY polynomial

$a^2-z^2-1 + a^{-2}$

page revision: 45, last edited: 19 Jan 2009 15:09