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)
11n
81
(K11n
81
)
A knot diagram
1
Linearized knot diagam
4 1 9 2 11 1 10 4 7 8 6
Solving Sequence
1,4 2,6 7,9
3 8 11 5 10
c
1
c
6
c
3
c
8
c
11
c
5
c
10
c
2
, c
4
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
3
+ u
2
+ 2d + 3u − 1, u
4
+ 2u
3
− 4u
2
+ 2c − 8u + 1, b − u, −u
4
− u
3
+ 3u
2
+ 2a + 3u,
u
5
+ u
4
− 4u
3
− 4u
2
+ 3u − 1i
I
u
2
= h−u
4
+ 2u
2
+ d − 2u, u
4
+ u
3
− 2u
2
+ c + 2, b − u, u
3
+ 2u
2
+ a − u − 1, u
5
+ 2u
4
− 2u
3
− 3u
2
+ 3u + 1i
I
u
3
= h−u
4
+ 2u
2
+ d − 2u, u
4
+ u
3
− 2u
2
+ c + 2, −u
4
− u
3
+ 2u
2
+ b + u − 1, −u
4
− 2u
3
+ 2u
2
+ a + 3u − 3,
u
5
+ 2u
4
− 2u
3
− 3u
2
+ 3u + 1i
I
u
4
= h−5u
4
+ 6u
3
− 3u
2
+ 4d − 9u + 14, 3u
4
− 2u
3
+ u
2
+ 8c + 3u − 10, u
4
− 2u
3
− u
2
+ 4b + 5u − 2,
u
4
− u
2
+ 4a + 3u, u
5
− u
3
+ 3u
2
− 4i
I
u
5
= hd + 1, c, b, a + 1, u − 1i
I
u
6
= hd + 1, c, b + 1, a + 1, u − 1i
I
u
7
= hda + d + 1, c, b + 1, u − 1i
I
v
1
= ha, d, c + 1, b − 1, v − 1i
* 7 irreducible components of dim
C
= 0, with total 23 representations.
* 1 irreducible components of dim
C
= 1
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