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)
12n
0225
(K12n
0225
)
A knot diagram
1
Linearized knot diagam
3 5 7 2 11 9 3 10 7 12 5 10
Solving Sequence
3,7
4
5,8
2
1,10
9 12 11 6
c
3
c
7
c
2
c
1
c
9
c
12
c
11
c
5
c
4
, c
6
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−108733460839492u
15
+ 235633173020139u
14
+ ··· + 44568754122034192d − 655346094957840,
− 5.82443 × 10
14
u
15
+ 2.17023 × 10
15
u
14
+ ··· + 8.91375 × 10
16
c + 4.50759 × 10
16
,
− 2.11450 × 10
14
u
15
+ 6.65971 × 10
14
u
14
+ ··· + 4.45688 × 10
16
b − 9.31909 × 10
15
,
40959130934865u
15
− 340344314483579u
14
+ ··· + 89137508244068384a − 71636506057825568,
u
16
− 3u
15
+ ··· − 64u + 32i
I
u
2
= h−2059u
7
− 2277u
6
+ ··· + 6184d + 18886, 1033u
7
a − 1546u
7
+ ··· − 5850a + 12368,
− 109u
7
a + 121u
7
+ ··· + 2066a − 3882, 9443u
7
a − 4639u
7
+ ··· − 14966a + 1182,
u
8
+ u
7
− 7u
6
− 4u
5
+ 16u
4
− 3u
3
− 9u
2
− 8u − 4i
I
v
1
= ha, d, c − v, b − 1, v
2
− v + 1i
I
v
2
= hc, d + v − 1, b, a − 1, v
2
− v + 1i
I
v
3
= ha, d + 1, c + a, b − 1, v + 1i
I
v
4
= ha, a
2
d + c
2
v − 2ca − cv + a + v, dv − 1, c
2
v
2
− 2cav − v
2
c + a
2
+ av + v
2
, b − 1i
* 5 irreducible components of dim
C
= 0, with total 37 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