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)
12n
0679
(K12n
0679
)
A knot diagram
1
Linearized knot diagam
4 5 7 2 10 3 11 12 5 7 8 9
Solving Sequence
7,10
11 8
3,12
6 5 2 4 1 9
c
10
c
7
c
11
c
6
c
5
c
2
c
4
c
1
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−272506u
18
− 964931u
17
+ ··· + 166246b − 454705,
202199u
18
+ 697603u
17
+ ··· + 166246a + 690296, u
19
+ 4u
18
+ ··· + 6u + 1i
I
u
2
= hu
2
+ b + u − 2, a, u
3
+ u
2
− 2u − 1i
I
u
3
= hb − 1, a + 1, u
2
− u − 1i
I
u
4
= hb + u + 1, a + u − 2, u
2
− u − 1i
* 4 irreducible components of dim
C
= 0, with total 26 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