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)
11n
49
(K11n
49
)
A knot diagram
1
Linearized knot diagam
6 1 7 9 2 10 1 11 6 4 8
Solving Sequence
1,7 8,10
6 2 3 4 5 9 11
c
7
c
6
c
1
c
2
c
3
c
5
c
9
c
11
c
4
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
5
+ u
4
− 4u
3
+ 6b − 6u − 2, u
3
− 2u
2
+ 4a + 4u − 2, u
6
− 2u
5
+ 8u
4
− 4u
3
+ 12u
2
+ 8u + 4i
I
u
2
= hb + 1, 2a
2
+ au + 4a + u + 1, u
2
+ 2i
I
v
1
= ha, b − 1, v
2
− v + 1i
* 3 irreducible components of dim
C
= 0, with total 12 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