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)
6
1
(K6a
3
)
A knot diagram
1
Linearized knot diagam
4 6 2 1 3 5
Solving Sequence
2,6
3 4 1 5
c
2
c
3
c
1
c
5
c
4
, c
6
Ideals for irreducible components
2
of X
par
I
u
1
= hu
4
+ u
3
+ u
2
+ 1i
* 1 irreducible components of dim
C
= 0, with total 4 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