The Love Knot

Table of Contents

# Names and notations

## Rolfsen notation

7_{3}

## Dowker-Thistlethwaite notation

8 10 12 14 4 2 6

## Conway notation

43

## Braid notation

б_{1} б_{1}б_{-2} б_{1} б_{1} б_{2} б_{2}б_{1} б_{1}

# Knot properties

## Alternating knot

Yep!

## Tricolorable

Not Tricolorable

## Amphicheiral

Yes/No

# Numerical knot invariants

## Unknotting number

2

## Bridge number

2

## Crossing number

TBD

## Genus

TBD

# Knot polynomials

## Jones polynomial

−q9 + q8−2q7 + 3q6−2q5 + 2q4−q3 + q

## Alexander polynomial

2t2−3t + 3−3t−1 + 2t−2

## HOMFLY polynomial

z4a−4 + z4a−6 + 3z2a−4 + 3z2a−6−z2a−8 + a−4 + 2a−6−2a−8

page revision: 43, last edited: 05 May 2009 19:18