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)
8
20
(K8n
1
)
A knot diagram
1
Linearized knot diagam
4 7 5 2 8 5 2 6
Solving Sequence
2,5
4 1
3,8
7 6
c
4
c
1
c
3
c
7
c
6
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= hu
4
− u
3
− 2u
2
+ b + 1, −u
4
+ u
3
+ 2u
2
+ a − 2, u
5
− 2u
4
− 2u
3
+ 3u
2
+ 3u − 1i
I
u
2
= hb + 1, a, u + 1i
* 2 irreducible components of dim
C
= 0, with total 6 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