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)
9
2
(K9a
27
)
A knot diagram
1
Linearized knot diagam
4 7 2 1 9 8 3 6 5
Solving Sequence
3,7
8 2 4 1 6 9 5
c
7
c
2
c
3
c
1
c
6
c
8
c
5
c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= hu
7
− u
6
+ u
4
+ 2u
3
− 2u
2
+ 1i
* 1 irreducible components of dim
C
= 0, with total 7 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