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)
8
19
(K8n
3
)
A knot diagram
1
Linearized knot diagam
7 5 7 2 3 1 4 2
Solving Sequence
2,4 5,7
1 3 6 8
c
4
c
1
c
3
c
5
c
8
c
2
, c
6
, c
7
Ideals for irreducible components
2
of X
par
I
u
1
= hb + u + 1, a + 1, u
2
− 2u − 1i
I
u
2
= hb, a + 1, u + 1i
* 2 irreducible components of dim
C
= 0, with total 3 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1