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