![](data:image/png;base64,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)
12n
0574
(K12n
0574
)
A knot diagram
1
Linearized knot diagam
3 7 9 10 11 2 12 3 4 5 7 8
Solving Sequence
3,9
4 10 5
8,12
1 7 2 6 11
c
3
c
9
c
4
c
8
c
12
c
7
c
2
c
6
c
11
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= hu
6
+ u
5
− 2u
4
+ u
3
+ 3u
2
+ b − 3u − 1, u
6
+ u
5
− 2u
4
+ 3u
2
+ 2a − u − 2,
u
7
+ 3u
6
− 4u
4
+ 3u
3
+ 3u
2
− 6u − 2i
I
u
2
= hb − u + 1, 3a − 2u + 3, u
2
− 3i
I
u
3
= hb, a + 1, u + 1i
I
u
4
= hb + 2, a + 1, u − 1i
I
u
5
= hb + 1, a, u − 1i
I
u
6
= hb + 1, a + 1, u − 1i
I
v
1
= ha, b + 1, v + 1i
* 7 irreducible components of dim
C
= 0, with total 14 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