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)
4
1
(K4a
1
)
A knot diagram
1
Linearized knot diagam
4 1 2 3
Solving Sequence
2,4
1 3
c
1
c
3
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