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)
12a
0030
(K12a
0030
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 12 10 11 4 8 1 7
Solving Sequence
4,9 2,5
3 6 10
1,11
8 7 12
c
4
c
2
c
5
c
9
c
1
c
8
c
7
c
12
c
3
, c
6
, c
10
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.97380 × 10
162
u
76
− 7.99163 × 10
162
u
75
+ ··· + 1.45795 × 10
166
d − 5.67098 × 10
165
,
4.24191 × 10
162
u
76
− 1.61625 × 10
163
u
75
+ ··· + 1.45795 × 10
166
c + 2.78196 × 10
165
,
6.76436 × 10
182
u
76
− 1.29212 × 10
183
u
75
+ ··· + 1.08760 × 10
185
b − 1.19824 × 10
185
,
1.65541 × 10
183
u
76
− 4.27644 × 10
183
u
75
+ ··· + 2.17520 × 10
185
a + 1.69038 × 10
186
,
u
77
− 2u
76
+ ··· − 2560u
2
− 512i
I
u
2
= h−c
2
u + d − c, u
3
c + c
3
+ u
2
c − u
3
+ cu − u + 1, −u
2
+ b + u − 1, u
3
− u
2
+ a + u − 1, u
4
+ u
2
− u + 1i
I
u
3
= h−c
2
u + d − c, −2u
5
c − u
4
c − u
5
− 3u
3
c − u
4
+ c
3
− 2u
2
c − 2u
3
− 2cu − 2u
2
− 2c − 2u − 2,
− 2u
5
− u
4
− 3u
3
− 2u
2
+ b − 3u − 2, −u
4
− u
2
+ a − u − 1, u
6
+ u
5
+ 2u
4
+ 2u
3
+ 2u
2
+ 2u + 1i
I
v
1
= ha, d, c − v, b − v, v
2
− v + 1i
I
v
2
= ha, d + v + 1, av + c + 1, b + v, v
2
+ v + 1i
I
v
3
= hc, d − 1, b, a − 1, v − 1i
I
v
4
= ha, db + da − cb − d + b − 1, a
2
d − cba − da + cb + ba + d − c − a + 1, dv − 1, cv + ba − bv − b − a,
b
2
− b + 1i
* 6 irreducible components of dim
C
= 0, with total 112 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