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)
10
153
(K10n
10
)
A knot diagram
1
Linearized knot diagam
9 6 10 7 3 8 5 1 3 8
Solving Sequence
5,7 8,10
1 4 3 6 2 9
c
7
c
10
c
4
c
3
c
6
c
2
c
9
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
2
+ b + u + 1, −u
4
+ 6u
3
− 11u
2
+ 2a + u + 11, u
5
− 5u
4
+ 7u
3
+ 2u
2
− 8u − 1i
I
u
2
= hu
2
+ b − u + 1, u
2
+ a − u + 1, u
3
− u
2
+ 1i
I
u
3
= hb − 1, a
2
− a − 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 10 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