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The 500 simplest hyperbolic knots

Department of Mathematics, College of Staten Island and The Graduate Center, City University of New York, 2800 Victory Boulevard, Staten Island, NY 10314, USA

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Ilya Kofman

Department of Mathematics, College of Staten Island and The Graduate Center, City University of New York, 2800 Victory Boulevard, Staten Island, NY 10314, USA

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, and

Timothy Mullen

43 Pine Terrace, Staten Island, NY 10312, USA

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https://doi.org/10.1142/S0218216514500552Cited by:7 (Source: Crossref)

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.

Keywords:

AMSC: 57M25, 57M27

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