The Entangled Hearts Knot

Table of Contents

# Names and notations

## Rolfsen notation

7.4

## Dowker-Thistlethwaite notation

8 12 10 2 14 4 6

## Conway notation

313

## Signed planar graph

## Braid notation

σ_{-1}σ_{-2}σ_{-1}σ_{-3}σ_{-2}σ_{-1}σ_{-1}σ_{2}σ_{-1}σ_{3}σ_{2}σ_{2}σ_{3}σ_{-1}σ_{-2}

# Knot properties

## Alternating knot

Yes

## Tricolorable

Yes

## Amphicheiral

No

# Numerical knot invariants

## Unknotting number

2

## Bridge number

2

## Crossing number

7

## Genus

1

## Span of the bracket polynomial

28

# Knot polynomials

## Jones polynomial

-*q*^{8} + *q*^{7} - 2*q*^{6} + 3*q*^{5} - 2*q*^{4} + 3*q*^{3} - 2*q*^{2} + *q*

## Alexander polynomial

4*t* - 7 + 4*t* ^{-1}

## HOMFLY polynomial

*z*^{2}*a* ^{-2} + 2*z*^{2}*a* ^{-4} + *z*^{2}*a* ^{-6} + 2*a* ^{-4} - *a* ^{-8}

page revision: 127, last edited: 11 May 2009 16:58