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)
12n
0222
(K12n
0222
)
A knot diagram
1
Linearized knot diagam
3 5 9 2 11 12 10 3 7 9 1 6
Solving Sequence
3,9 4,5,11
6 2 1 8 10 7 12
c
3
c
5
c
2
c
1
c
8
c
10
c
7
c
12
c
4
, c
6
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.12031 × 10
34
u
30
− 2.31311 × 10
35
u
29
+ ··· + 1.08242 × 10
37
d − 4.05250 × 10
35
,
− 3.25140 × 10
35
u
30
− 1.04293 × 10
36
u
29
+ ··· + 2.16483 × 10
37
c − 2.49953 × 10
37
,
− 6.96435 × 10
33
u
30
+ 1.25405 × 10
34
u
29
+ ··· + 1.08242 × 10
37
b − 4.63583 × 10
36
,
9.28423 × 10
34
u
30
+ 2.43126 × 10
35
u
29
+ ··· + 2.16483 × 10
37
a − 1.72516 × 10
37
, u
31
+ 3u
30
+ ··· + 64u + 32i
I
u
2
= h114533971308u
22
a − 295693377683u
22
+ ··· + 309089289992a − 1727678279402,
− 106328835549u
22
a − 37415285413u
22
+ ··· − 881316945982a − 268636021714,
− 38636161249u
22
a + 6684998365u
22
+ ··· + 212657671098a − 31359529106,
709294494705u
22
a − 467986206381u
22
+ ··· + 1120177291630a + 112735730394,
u
23
− u
22
+ ··· + 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 82 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