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)
12n
0571
(K12n
0571
)
A knot diagram
1
Linearized knot diagam
3 7 9 10 8 2 12 3 4 5 1 8
Solving Sequence
3,9
4 10 5 8
6,12
1 7 2 11
c
3
c
9
c
4
c
8
c
5
c
12
c
7
c
2
c
11
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
9
− u
8
+ 6u
7
+ 4u
6
− 12u
5
− 5u
4
+ 7u
3
+ 2u
2
+ b − u + 1,
3u
9
+ 3u
8
− 17u
7
− 12u
6
+ 30u
5
+ 15u
4
− 11u
3
− 6u
2
+ 2a − u − 4,
u
10
+ 3u
9
− 3u
8
− 14u
7
+ 21u
5
+ 7u
4
− 8u
3
− 3u
2
− 2i
I
u
2
= hb + 1, a
2
+ 3u
2
− 3a − u − 6, u
3
− 3u − 1i
I
u
3
= hb − u + 1, 3a + 4u − 3, u
2
− 3i
I
u
4
= hb + 1, a − 2, u − 1i
I
u
5
= hb + 1, a − 1, u − 1i
I
u
6
= hb, a + 1, u + 1i
I
u
7
= hb + 2, a − 3, u − 1i
I
v
1
= ha, b + 1, v + 1i
* 8 irreducible components of dim
C
= 0, with total 23 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