![](data:image/png;base64,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)
10
1
(K10a
75
)
A knot diagram
1
Linearized knot diagam
6 10 9 8 7 1 5 4 3 2
Solving Sequence
4,9
3 10 2 1 8 5 7 6
c
3
c
9
c
2
c
10
c
8
c
4
c
7
c
6
c
1
, c
5
Ideals for irreducible components
2
of X
par
I
u
1
= hu
8
− u
7
+ 7u
6
− 6u
5
+ 15u
4
− 10u
3
+ 10u
2
− 4u + 1i
* 1 irreducible components of dim
C
= 0, with total 8 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