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)
10
124
(K10n
21
)
A knot diagram
1
Linearized knot diagam
5 6 7 10 2 3 10 7 4 8
Solving Sequence
3,7 4,10
8 6 2 5 1 9
c
3
c
7
c
6
c
2
c
5
c
1
c
9
c
4
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= hb + u, a + u + 1, u
2
+ u − 1i
I
u
2
= hb − u, a − u + 1, u
2
− 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 4 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