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)
5
1
(K5a
2
)
A knot diagram
1
Linearized knot diagam
4 5 1 2 3
Solving Sequence
1,4
2 3 5
c
1
c
3
c
5
c
2
, c
4
Ideals for irreducible components
2
of X
par
I
u
1
= hu
2
− u − 1i
* 1 irreducible components of dim
C
= 0, with total 2 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