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)
12n
0059
(K12n
0059
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 12 10 4 7 9 6 11
Solving Sequence
6,12 2,7
5 3
1,9
4 8 11 10
c
6
c
5
c
2
c
1
c
4
c
8
c
11
c
10
c
3
, c
7
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
11
+ 5u
10
− 14u
9
+ 25u
8
− 36u
7
+ 34u
6
− 22u
5
− 2u
4
− 3u
3
+ u
2
+ 16d − 20u + 1,
− u
11
+ 5u
10
− 14u
9
+ 25u
8
− 36u
7
+ 34u
6
− 22u
5
− 2u
4
− 3u
3
+ u
2
+ 16c − 36u + 1,
− 4u
12
+ 19u
11
− 47u
10
+ 68u
9
− 73u
8
+ 26u
7
+ 46u
6
− 108u
5
+ 22u
4
+ 27u
3
− 111u
2
+ 16b − 48u + 7,
− 11u
12
+ 51u
11
+ ··· + 16a + 2,
u
13
− 5u
12
+ 13u
11
− 20u
10
+ 22u
9
− 9u
8
− 14u
7
+ 36u
6
− 19u
5
− 3u
4
+ 33u
3
− 4u + 1i
I
u
2
= h−953u
9
+ 3087u
8
+ ··· + 16432d + 4012,
u
9
− 3u
8
+ 5u
7
+ 3u
6
− 12u
5
+ 10u
4
+ 17u
3
− 18u
2
+ 16c − 23u + 8,
1173u
9
− 2403u
8
+ ··· + 32864b − 14956, −5403u
9
+ 34813u
8
+ ··· + 131456a − 281772,
u
10
− 3u
9
+ 5u
8
+ 3u
7
− 12u
6
+ 10u
5
+ 17u
4
− 18u
3
− 23u
2
+ 8u + 16i
I
u
3
= hd − 1, c − 1, 2b − a − 1, a
2
+ 3, u − 1i
I
u
4
= hd, c + 1, b, a − 1, u + 1i
I
u
5
= hd − c + 1, 2cb − ca − c − b + a + 1, a
2
c − ba − a
2
+ 3c − b − 1, b
2
− b + 1, u − 1i
I
v
1
= ha, d − 1, ba + c + b − a, b
2
− 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