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)
12n
0725
(K12n
0725
)
A knot diagram
1
Linearized knot diagam
4 6 7 10 2 3 11 12 4 7 8 9
Solving Sequence
3,7 4,11
8 12 6 2 1 5 10 9
c
3
c
7
c
11
c
6
c
2
c
1
c
5
c
10
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
3
+ 2u
2
+ b + 2u − 1, a + 1, u
4
− 2u
3
− u
2
+ 4u − 1i
I
u
2
= hb − 2u + 2, a + 1, u
2
+ u − 1i
I
u
3
= hb − 2, a − u − 2, u
2
+ u − 1i
I
u
4
= hb, a − u, u
2
− u + 1i
* 4 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