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)
12n
0221
(K12n
0221
)
A knot diagram
1
Linearized knot diagam
3 5 9 2 11 12 10 3 11 8 1 6
Solving Sequence
2,5 3,11
6 1
4,9
8 10 12 7
c
2
c
5
c
1
c
4
c
8
c
10
c
12
c
6
c
3
, c
7
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2258808925u
16
+ 15860359921u
15
+ ··· + 96479313856d − 115431185160,
154139657205u
16
+ 1193150529938u
15
+ ··· + 2508462160256c − 2116899433348,
4410667u
16
+ 32637095u
15
+ ··· + 83243584b − 126220048,
7888753u
16
+ 58699357u
15
+ ··· + 83243584a − 107418368, u
17
+ 8u
16
+ ··· − 8u − 16i
I
u
2
= hd − a, c − a, b − a, a
2
− a + 1, u − 1i
I
u
3
= hd + 1, c, b − 1, a − 1, u − 1i
I
u
4
= hda − ca + 1, c
2
− c + 1, b − a, u − 1i
I
v
1
= hc, d − a − 1, b, a
2
+ a + 1, v − 1i
* 4 irreducible components of dim
C
= 0, with total 22 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