The Argoknot

Table of Contents

# Names and notations

## Rolfsen notation

$7_2$

## Dowker-Thistlethwaite notation

12 10 8 14 4 2 6

## Conway notation

-5 -2

## Braid notation

TBD

## Signed Planar Graph

# Knot properties

## Alternating knot

Yes

## Tricolorable

No

## Amphicheiral

Yes/No

# Numerical knot invariants

## Unknotting number

1

## Bridge number

2

## Crossing number

7

## Genus

1

# Knot polynomials

## Jones polynomial

$t^{-1} - t^{-2} + 2t^{-3} - 2t^{-4} + 2t^{-5} - t^{-6} + t^{-7} - t^{-8}$

## Alexander polynomial

$3t -5 + 3t^{-1}$

## HOMFLY polynomial

$−L^8 + M^2L^6 + L^6 + M^2L^4 + M^2L^2 + L^2$

page revision: 83, last edited: 30 Apr 2009 04:18