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)
12n
0750
(K12n
0750
)
A knot diagram
1
Linearized knot diagam
4 6 8 9 2 11 3 12 5 6 8 9
Solving Sequence
8,11
12
4,9
5 1 3 7 6 2 10
c
11
c
8
c
4
c
12
c
3
c
7
c
6
c
2
c
10
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2u
5
− 10u
4
− 15u
3
+ 13u
2
+ 5b + 45u + 19, −7u
5
− 25u
4
− 20u
3
+ 43u
2
+ 15a + 85u + 24,
u
6
+ 4u
5
+ 5u
4
− 4u
3
− 16u
2
− 12u − 3i
I
u
2
= h−2u
2
+ b + u + 2, a − u, u
3
− u
2
+ 1i
I
u
3
= h−2u
2
a − u
2
+ b + a + u, a
2
+ au − u
2
+ u − 1, u
3
− u
2
+ 1i
I
u
4
= h2u
3
− u
2
+ 3b − 1, u
3
+ 4u
2
+ 3a + 9u + 4, u
4
+ 3u
3
+ 5u
2
+ u − 1i
I
u
5
= hu
2
+ b − 3, −3u
3
+ 4u
2
+ 5a + 7u − 10, u
4
− 3u
3
+ u
2
+ 5u − 5i
I
u
6
= h−3au + 2b + 6a + u, 4a
2
+ 2au − 6a − 5u + 3, u
2
− u + 2i
I
u
7
= hb
2
+ b − 1, a + 1, u + 1i
I
v
1
= ha, b + v −2, v
2
− 3v + 1i
I
v
2
= ha, b − 1, v −1i
* 9 irreducible components of dim
C
= 0, with total 32 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