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)
12n
0220
(K12n
0220
)
A knot diagram
1
Linearized knot diagam
3 5 8 2 12 9 3 6 8 5 6 11
Solving Sequence
5,12 3,6
2 1
4,8
7 11 10 9
c
5
c
2
c
1
c
4
c
7
c
11
c
10
c
9
c
3
, c
6
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2281u
12
+ 1307u
11
+ ··· + 44956d + 11490, 1947u
12
+ 1293u
11
+ ··· + 22478c + 16277,
573u
12
+ 2043u
11
+ ··· + 44956b + 16722, −1947u
12
− 1293u
11
+ ··· + 22478a − 16277,
u
13
+ u
12
+ 2u
11
+ u
10
+ 5u
9
+ u
8
+ 4u
7
+ u
6
+ 15u
5
+ 5u
4
+ 16u
3
+ 5u
2
+ 12u + 4i
I
u
2
= h−u
4
+ u
2
a − 2u
3
+ au − u
2
+ d + 2u + 2, u
4
+ 3u
3
+ 5u
2
+ c − a + 3u + 1, u
4
+ 2u
3
− au + 2u
2
+ b,
− u
4
a − 3u
3
a + 2u
4
− 5u
2
a + 4u
3
+ a
2
− 3au + 3u
2
− a − 2u − 1, u
5
+ 2u
4
+ 2u
3
+ u + 1i
I
u
3
= hd, c + u, b, a − 1, u
2
− u + 1i
I
u
4
= hd − u − 1, c − 1, b + 1, a − u, u
2
+ u + 1i
I
u
5
= h−cu + d − c + 1, ca − cu + au, b + 1, u
2
+ u + 1i
I
v
1
= ha, d − 1, c + a, b + 1, v + 1i
* 5 irreducible components of dim
C
= 0, with total 28 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