![](data:image/png;base64,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)
11n
19
(K11n
19
)
A knot diagram
1
Linearized knot diagam
5 1 9 2 3 10 11 1 3 7 8
Solving Sequence
1,8 3,9
4 2 5 11 7 10 6
c
8
c
3
c
2
c
4
c
11
c
7
c
10
c
6
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= hu
5
+ u
4
− 3u
3
− 3u
2
+ 2b − 3u − 1, u
4
− 5u
2
+ 2a + 3, u
6
+ 3u
5
− 2u
4
− 11u
3
− 6u
2
− u − 1i
I
u
2
= hau + b + a, a
2
+ au − a − u + 2, u
2
− u − 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