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)
12n
0242
(K12n
0242
)
A knot diagram
1
Linearized knot diagam
3 5 9 2 10 11 12 3 5 6 7 8
Solving Sequence
6,10
11 7 12
3,5
2 1 4 9 8
c
10
c
6
c
11
c
5
c
2
c
1
c
4
c
9
c
8
c
3
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= hb − u, u
2
+ a − 2u, u
3
− 3u
2
+ 2u + 1i
I
u
2
= hb + u, −u
2
+ a + 2, u
3
+ u
2
− 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 6 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