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)
10
128
(K10n
22
)
A knot diagram
1
Linearized knot diagam
5 6 7 10 3 2 10 7 4 8
Solving Sequence
7,10
8
1,5
2 4 3 6 9
c
7
c
10
c
1
c
4
c
3
c
6
c
9
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−3u
7
− 3u
6
+ 17u
5
+ 4u
4
− 31u
3
+ 12u
2
+ 4b − u + 1, −u
7
− 3u
6
+ u
5
+ 8u
4
+ 3u
3
− 6u
2
+ 2a − 9u − 1,
u
8
+ 4u
7
− 13u
5
− 3u
4
+ 15u
3
+ 3u
2
+ 2u − 1i
I
u
2
= hb
3
− b
2
+ 1, a, u − 1i
* 2 irreducible components of dim
C
= 0, with total 11 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