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)
10
155
(K10n
39
)
A knot diagram
1
Linearized knot diagam
6 7 8 10 9 2 10 5 3 5
Solving Sequence
7,10 5,8
4 3 2 6 1 9
c
7
c
4
c
3
c
2
c
6
c
1
c
9
c
5
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h2u
3
+ 3u
2
+ b + 1, u
3
+ u
2
+ a − u, u
4
+ 3u
3
+ 2u
2
+ 1i
I
u
2
= h−3u
3
+ u
2
+ 2b + u − 8, −2u
3
+ u
2
+ 2a + u − 5, u
4
+ u
3
− u
2
+ 2u + 4i
I
u
3
= hu
2
+ b − 1, u
3
− u
2
+ a − u + 2, u
4
− u
3
− 2u
2
+ 2u + 1i
I
u
4
= h−au + b − 1, a
2
+ au − a + u, u
2
− u − 1i
I
u
5
= h−au + b − u + 2, a
2
− 2au + 3a − 2u + 4, u
2
− u − 1i
* 5 irreducible components of dim
C
= 0, with total 20 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