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)
11n
76
(K11n
76
)
A knot diagram
1
Linearized knot diagam
4 1 8 2 11 9 3 6 7 1 6
Solving Sequence
6,8
9
4,7 1,3
2 11 5 10
c
8
c
6
c
3
c
2
c
11
c
5
c
10
c
1
, c
4
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= hu
9
+ u
8
− 6u
7
− 4u
6
+ 12u
5
+ u
4
− 8u
3
+ 8u
2
+ 2d − u,
u
10
+ 2u
9
− 6u
8
− 12u
7
+ 14u
6
+ 21u
5
− 21u
4
− 5u
3
+ 22u
2
+ 2c − 10u,
u
10
+ 2u
9
− 5u
8
− 10u
7
+ 8u
6
+ 11u
5
− 9u
4
+ 4u
3
+ 13u
2
+ 4b + u, a − 1,
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
= h3u
7
+ 5u
6
− 3u
5
− u
4
+ 3u
3
− 10u
2
+ 4d − 9u − 2, 7u
7
+ 9u
6
− 15u
5
− u
4
+ 15u
3
− 34u
2
+ 8c − 9u + 14,
u
7
+ u
6
− u
5
+ u
4
+ u
3
− 4u
2
+ 2b − 3u, −u
7
− 3u
6
− 3u
5
+ 3u
4
+ 3u
3
− 6u
2
+ 8a + 7u + 18,
u
8
+ u
7
− 3u
6
− u
5
+ 3u
4
− 4u
3
− 3u
2
+ 4u + 4i
I
u
3
= hd + u, c, −au + b + a + 1, a
2
+ a − u − 1, u
2
+ u − 1i
I
u
4
= hu
3
+ d − u + 1, u
3
− u
2
+ c, u
3
− u
2
+ b − u + 2, −u
3
+ a − 1, u
4
− u
3
+ 2u − 1i
I
u
5
= hd + u, c, b + u + 1, a − 1, u
2
+ u − 1i
I
u
6
= hd, c + 1, b, a + 1, u − 1i
I
u
7
= hd, c − 1, b + 1, a, u − 1i
I
u
8
= hd, cb + 1, a + 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 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
1