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