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)
12n
0466
(K12n
0466
)
A knot diagram
1
Linearized knot diagam
3 6 9 8 2 11 12 3 4 6 7 10
Solving Sequence
6,11
7 12
3,8
9 2 1 5 4 10
c
6
c
11
c
7
c
8
c
2
c
1
c
5
c
4
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−296878516u
31
− 276724358u
30
+ ··· + 441171721b − 537239537,
− 397220095u
31
− 1740337107u
30
+ ··· + 882343442a − 7870777298, u
32
+ 2u
31
+ ··· + 6u + 1i
I
u
2
= hb − 1, a
2
+ 2a − 2u − 3, u
2
+ u − 1i
I
u
3
= hb + 1, a − 1, u
2
− u − 1i
* 3 irreducible components of dim
C
= 0, with total 38 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