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)
11n
74
(K11n
74
)
A knot diagram
1
Linearized knot diagam
4 1 8 2 11 9 4 6 8 1 6
Solving Sequence
6,8 4,9 1,3
2 5 7 11 10
c
8
c
3
c
2
c
4
c
7
c
11
c
10
c
1
, c
5
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
4
+ 2u
3
− 2u
2
+ 2d + 1, −u
6
+ 3u
5
− 5u
4
+ 3u
3
+ 2c − 6u − 4, u
3
− u
2
+ 2b + u + 1,
− 2u
6
+ 5u
5
− 7u
4
+ 6u
2
+ 4a − 13u − 13, u
7
− 3u
6
+ 5u
5
− 3u
4
− u
3
+ 7u
2
+ 3u − 1i
I
u
2
= hu
3
+ 4d − u − 2, 3u
3
− 4u
2
+ 8c + 9u + 18, b + u − 1, −u
3
+ 8a − 3u − 2, u
4
− 2u
3
+ 3u
2
+ 4u − 4i
I
u
3
= hd, c + 1, b − 1, a, u + 1i
I
u
4
= hd, c − 1, b, a − 1, u + 1i
I
u
5
= hd, cb + 1, a − 1, u + 1i
I
v
1
= ha, d, c − 1, b + 1, v − 1i
* 5 irreducible components of dim
C
= 0, with total 14 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