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)
12n
0554
(K12n
0554
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 12 2 4 3 5 9 1 5
Solving Sequence
5,9
10
3,4 1,8
12 6 2 7 11
c
9
c
4
c
8
c
12
c
5
c
2
c
6
c
11
c
1
, c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
5
− u
4
− 5u
3
− 5u
2
+ 6d − 4u − 2, u
5
+ u
4
− u
3
− u
2
+ 12c − 8u − 4,
− u
5
− 4u
4
− 5u
3
− 8u
2
+ 6b − 4u − 2, u
5
+ u
4
+ 5u
3
− u
2
+ 12a − 2u − 4,
u
6
+ 3u
5
+ 7u
4
+ 9u
3
+ 8u
2
+ 4u + 4i
I
u
2
= h−u
3
+ u
2
+ 2d − 3u − 1, c + 1, b + u, u
3
− u
2
+ 2a + 5u − 1, u
4
+ 4u
2
+ 2u + 1i
I
u
3
= h−u
3
+ u
2
+ 2d − 3u − 1, c + 1, −u
3
− u
2
+ 2b − 5u − 5, −u
3
+ u
2
+ 2a − 5u + 3, u
4
+ 4u
2
+ 2u + 1i
I
u
4
= hu
3
− u
2
+ 2d + 5u + 1, 5u
3
− u
2
+ 2c + 19u + 5, b + u, u
3
− u
2
+ 2a + 5u − 1, u
4
+ 4u
2
+ 2u + 1i
I
u
5
= hd + 1, 2c − u − 1, b, a − 1, u
2
− u + 2i
I
u
6
= hd + 1, 2c − u − 1, b − u + 1, 2a − u + 1, u
2
− u + 2i
I
u
7
= hd − u, c, b − u + 1, 2a − u + 1, u
2
− u + 2i
I
u
8
= hd + 1, c, b, a − 1, u + 1i
I
u
9
= hd, c − u, b − u, a − 1, u
2
+ 1i
I
u
10
= hd − u, c − 1, b + 1, a, u
2
+ 1i
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).
1