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)
12n
0063
(K12n
0063
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 12 10 5 7 8 1 7
Solving Sequence
5,8 9,10 3,11
2 6 1 4 7 12
c
8
c
10
c
2
c
5
c
1
c
4
c
7
c
12
c
3
, c
6
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h211450298892949u
15
− 665970623055347u
14
+ ··· + 44568754122034192d + 9319091588527888,
40959130934865u
15
− 340344314483579u
14
+ ··· + 89137508244068384c − 71636506057825568,
1.48020 × 10
15
u
15
− 5.08467 × 10
15
u
14
+ ··· + 4.45688 × 10
16
b − 3.24669 × 10
16
,
299188489544621u
15
− 2300420730722931u
14
+ ··· + 89137508244068384a + 5859054368972672,
u
16
− 3u
15
+ ··· − 64u + 32i
I
u
2
= h109u
7
c − 121u
7
+ ··· − 2066c + 3882, 9443u
7
c − 4639u
7
+ ··· − 14966c + 1182,
165u
7
+ 651u
6
− 137u
5
− 3762u
4
− 1020u
3
+ 3809u
2
+ 6184b − 3983u − 234,
1393u
7
+ 1111u
6
− 10189u
5
− 3314u
4
+ 26244u
3
− 12555u
2
+ 12368a − 24219u + 1510,
u
8
+ u
7
− 7u
6
− 4u
5
+ 16u
4
− 3u
3
− 9u
2
− 8u − 4i
I
v
1
= ha, d, c − 1, b + v, v
2
− v + 1i
I
v
2
= ha, d + 1, av + c − a, b + v, v
2
− v + 1i
I
v
3
= hc, d + 1, b, a + 1, v + 1i
I
v
4
= hc, d + 1, −v
2
ba + v
3
b − v
2
b + av − v
2
+ c − 1, b
2
v
2
− bv + 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