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)
12n
0642
(K12n
0642
)
A knot diagram
1
Linearized knot diagam
3 7 9 11 10 12 2 4 3 5 7 6
Solving Sequence
7,11 3,12
2 8
1,5
4 6 10 9
c
11
c
2
c
7
c
1
c
4
c
6
c
10
c
9
c
3
, c
5
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= hd − u, u
2
+ 2c + 1, u
2
+ 2b − 2u + 1, a − 1, u
3
+ u
2
+ 3u − 1i
I
u
2
= hd − u, u
3
− u
2
+ 2c + 3u − 1, −u
3
+ u
2
+ 2b − 3u − 1, a − 1, u
4
+ 4u
2
+ 2u + 1i
I
u
3
= hd − u, u
3
− u
2
+ 2c + 3u − 1, u
3
− u
2
+ 2b + u − 1, −u
3
+ u
2
+ 2a − 5u + 3, u
4
+ 4u
2
+ 2u + 1i
I
u
4
= hu
3
− u
2
+ 2d + 5u + 1, u
3
+ c + 4u + 2, −u
3
+ u
2
+ 2b − 3u − 1, a − 1, u
4
+ 4u
2
+ 2u + 1i
I
u
5
= hu
3
+ u
2
+ 2d + 2u + 2, u
3
+ 3u
2
+ 4c + 4u + 4, u
3
+ u
2
+ b + u + 1, −u
3
− u
2
+ 4a − 2u,
u
4
+ 3u
3
+ 4u
2
+ 4u + 4i
I
u
6
= hd − u, c − u + 2, b + 1, 2a + u + 1, u
2
− u + 2i
I
u
7
= hd + u − 1, 2c + u − 1, b + 1, 2a + u + 1, u
2
− u + 2i
I
u
8
= hd + u − 1, 2c + u − 1, b + 2u, a − 1, u
2
− u + 2i
I
u
9
= hd, c + u, b + u, a + 1, u
2
+ 1i
I
u
10
= hd + u, c + u + 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