Knottingsworth

Table of Contents

# Names and notations

## Rolfsen notation

7_{5}

## Dowker-Thistlethwaite notation

6 8 12 2 14 4 10

## Conway notation

322

## Signed Planar Graph

## Braid notation

$s_1s_2s_2s_1s_1s_1s_2^-^1s_1$

# Knot properties

## Alternating knot

Yes

## Tricolorable

No

## Amphicheiral

No

# Numerical knot invariants

## Unknotting number

2

## Bridge number

2

## Crossing number

7

## Genus

2

# Knot polynomials

## Jones polynomial

$q^-^2 - q^-^3 + 3q^-^4 - 3q^-^5 + 3q^-^6 - 3q^-^7 + 2q^-^8 - q^-^9$

## Alexander polynomial

$2t^2-4t + 5-4t^-^1 + 2t^-^2$

## HOMFLY polynomial

$-z^2a^8-a^8 + z^4a^6 + 2z^2a^6 + z^4a^4 + 3z^2a^4 + 2a^4$

page revision: 84, last edited: 04 May 2009 18:28