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)
7
2
(K7a
4
)
A knot diagram
1
Linearized knot diagam
5 7 6 1 4 3 2
Solving Sequence
1,5
2 4 6 3 7
c
1
c
4
c
5
c
3
c
7
c
2
, c
6
Ideals for irreducible components
2
of X
par
I
u
1
= hu
5
− u
4
+ u
2
+ u − 1i
* 1 irreducible components of dim
C
= 0, with total 5 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