# Braid Notation

Here we give a braid representation of each knot.
These were taken from [1], which gives the minimum length braid in each case.
In all cases except the knot 10_{136}, this also gives the number of strands.
For that knot, we also give a braid with the minimum number of strands, taken from [2], as referred to by Gittings.
For 11 crossing knots, when the braid length does not come from a minimal stranded braid,
a minimal stranded braid is given, as provided by Alexander Stoimenow.

## References

[1] Gittings, T., "Minimum Braids: A Complete Invariant of Knots and Links,"
Arxiv preprint.

[2] Jones, V. F. R., "Hecke algebra representations for braid groups and link polynomials," Ann. of Math., **126**
(1987), 335-388.

[3] Stoimenow, A., Personal communication.