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)
12n
0060
(K12n
0060
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 12 10 4 11 8 6 11
Solving Sequence
4,9 5,11 6,10
12 3 2 1 8 7
c
4
c
9
c
11
c
3
c
2
c
1
c
8
c
7
c
5
, c
6
, c
10
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.71438 × 10
84
u
46
− 3.94862 × 10
84
u
45
+ ··· + 5.11546 × 10
87
d + 5.51326 × 10
87
,
1.81915 × 10
85
u
46
− 2.40556 × 10
85
u
45
+ ··· + 1.27887 × 10
87
c + 1.47462 × 10
88
,
− 7.84763 × 10
95
u
46
+ 5.19621 × 10
95
u
45
+ ··· + 6.09681 × 10
98
b − 4.85317 × 10
98
,
− 1.61790 × 10
97
u
46
+ 2.28917 × 10
97
u
45
+ ··· + 6.09681 × 10
98
a − 1.26868 × 10
100
,
u
47
− 2u
46
+ ··· + 1024u − 512i
I
u
2
= hu
4
c
2
+ u
3
c
2
− u
4
c − 2c
2
u
2
− 2u
3
c − c
2
u + u
2
c + c
2
+ 3cu + d − c,
− 2u
4
c
2
− 2u
3
c
2
+ u
4
c + 4c
2
u
2
+ 2u
3
c + c
3
+ 2c
2
u − u
2
c − 2c
2
− 3cu − u, b − u, a − u,
u
5
+ u
4
− 2u
3
− u
2
+ u − 1i
I
v
1
= ha, d − v + 1, c + a, b + v − 1, v
2
− v + 1i
I
v
2
= ha, d, c − v, b − v − 1, v
2
+ v + 1i
I
v
3
= hc, d + 1, b, a − 1, v − 1i
I
v
4
= ha, da − cb + 1, dv + 1, cv − ba + bv + a − v, b
2
− b + 1i
* 5 irreducible components of dim
C
= 0, with total 67 representations.
* 1 irreducible components of dim
C
= 1
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