The 500 simplest hyperbolic knots
Abstract
We identify all hyperbolic knots whose complements are in the census of orientable one-cusped hyperbolic manifolds with eight ideal tetrahedra. We also compute their Jones polynomials.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2013
- DOI:
- 10.48550/arXiv.1307.4439
- arXiv:
- arXiv:1307.4439
- Bibcode:
- 2013arXiv1307.4439C
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- Many knot diagrams simplified using Culler and Dunfield's Spherogram. To appear in J. Knot Theory Ramifications. 29 pages