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)
10
132
(K10n
13
)
A knot diagram
1
Linearized knot diagam
5 10 7 6 2 4 10 7 3 8
Solving Sequence
3,7 4,10
8 2 6 5 1 9
c
3
c
7
c
2
c
6
c
5
c
1
c
9
c
4
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2u
4
− 5u
3
− 11u
2
+ 9b − 14u − 1, −4u
4
− u
3
− 22u
2
+ 9a − u + 7, u
5
+ 6u
3
+ u + 1i
I
u
2
= hb, −u
2
+ a − u − 2, u
3
+ u
2
+ 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 8 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