OFFSET
1,11
REFERENCES
Peter R. Cromwell, Knots and Links, Cambridge University Press, 2004. See p. 146. Fig. 6.6.
EXAMPLE
T(0,0) = 1 because the only prime knot with no more than 9 crossings with determinant 2*0+1=1 and s=0 is 0_1, the unknot.
T(1,1) = 1 because the only prime knot with no more than 9 crossings with determinant 2*1+1=3 and s=2 is 3_1, the left-handed trefoil.
T(1,3) = 1 because the only prime knot with no more than 9 crossings with determinant 2*1+1=3 and s=6 is 8_19.
Table begins:
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Det s=0 s=2 s=4 s=6 s=8
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1 | 1 | 0 | 0 | 0 | 0
3 | 0 | 1 | 0 | 1 | 0
5 | 1 | 0 | 1 | 0 | 0
7 | 0 | 2 | 0 | 1 | 0
9 | 3 | 0 | 0 | 0 | 1
11 | 0 | 2 | 0 | 0 | 0
13 | 2 | 0 | 2 | 0 | 0
15 | 0 | 3 | 0 | 0 | 0
17 | 2 | 0 | 2 | 0 | 0
=========================
CROSSREFS
KEYWORD
AUTHOR
Jonathan Vos Post, Nov 19 2010
EXTENSIONS
Partially edited by N. J. A. Sloane, Jun 10 2019
Name edited by Andrey Zabolotskiy, Apr 29 2024
STATUS
approved