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)
7
7
(K7a
1
)
A knot diagram
1
Linearized knot diagam
6 7 1 3 2 5 4
Solving Sequence
1,4
3 5 7 2 6
c
3
c
4
c
7
c
2
c
6
c
1
, c
5
Ideals for irreducible components
2
of X
par
I
u
1
= hu
4
+ u
2
− u + 1i
I
u
2
= hu
6
+ u
5
+ 2u
4
+ 2u
3
+ 2u
2
+ 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 10 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