![](data:image/png;base64,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)
11n
78
(K11n
78
)
A knot diagram
1
Linearized knot diagam
4 1 8 2 11 9 10 4 7 1 6
Solving Sequence
1,4 2,8
9
3,6
11 5 10 7
c
1
c
8
c
3
c
11
c
5
c
10
c
7
c
2
, c
4
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
10
− u
9
+ 6u
8
+ 5u
7
− 12u
6
− 5u
5
+ 10u
4
− 4u
3
− 6u
2
+ 2d + u + 1,
u
8
+ u
7
− 6u
6
− 4u
5
+ 12u
4
+ u
3
− 8u
2
+ 2c + 8u − 1,
− u
10
− 2u
9
+ 5u
8
+ 12u
7
− 8u
6
− 23u
5
+ 9u
4
+ 16u
3
− 15u
2
+ 4b − 3u + 2,
− u
10
− 2u
9
+ 6u
8
+ 12u
7
− 14u
6
− 21u
5
+ 21u
4
+ 5u
3
− 22u
2
+ 2a + 10u,
u
11
+ 2u
10
− 6u
9
− 12u
8
+ 13u
7
+ 21u
6
− 17u
5
− 7u
4
+ 18u
3
− 3u
2
− u − 1i
I
u
2
= h−u
7
− 3u
6
+ u
5
+ 3u
4
− 5u
3
+ 6u
2
+ 4d + 7u − 2, u
7
+ 7u
6
+ 7u
5
− 7u
4
+ u
3
+ 2u
2
+ 8c − 23u − 14,
u
7
+ 3u
6
− u
5
− 3u
4
+ 5u
3
− 2u
2
+ 4b − 7u − 2, 3u
7
+ 7u
6
− u
5
− 3u
4
+ 5u
3
− 8u
2
+ 4a − 13u − 8,
u
8
+ u
7
− 3u
6
− u
5
+ 3u
4
− 4u
3
− 3u
2
+ 4u + 4i
I
u
3
= hd + u − 1, c + 1, au + 2b − 1, a
2
− 2au − 4a − u, u
2
+ u − 1i
I
u
4
= h−u
3
+ u
2
+ d − u, u
3
+ c + 1, b − u, a, u
4
− u
3
+ 2u − 1i
I
u
5
= hd + u − 1, c + 1, b − u, a, u
2
+ u − 1i
I
u
6
= hd + 1, c, b, a + 1, u − 1i
I
u
7
= hd − 1, c, b − 1, a, u − 1i
I
u
8
= hda − 1, c, b − 1, u − 1i
I
v
1
= ha, d, c − 1, b + 1, v − 1i
* 8 irreducible components of dim
C
= 0, with total 32 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).
1