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)
11n
71
(K11n
71
)
A knot diagram
1
Linearized knot diagam
4 1 7 2 11 9 3 6 8 1 6
Solving Sequence
3,7
4
8,9 1,10
2 5 6 11
c
3
c
7
c
9
c
2
c
4
c
6
c
11
c
1
, c
5
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h481u
12
− 3744u
11
+ ··· + 245268d − 61940, −4057u
12
− 5862u
11
+ ··· + 163512c − 19528,
− 664u
12
− 4959u
11
+ ··· + 122634b + 22418, 15485u
12
+ 31932u
11
+ ··· + 490536a − 416896,
u
13
+ 2u
12
+ 5u
11
+ 6u
10
+ 6u
9
+ 6u
8
− u
7
− 4u
6
− 10u
5
− 12u
4
+ 24u
3
− 4u
2
+ 8i
I
u
2
= h−u
3
+ au + 2u
2
+ d − 4u + 3, 2u
4
a − 4u
3
a − u
4
+ 8u
2
a + 3u
3
− 6au − 6u
2
+ 2c + 2a + 7u − 4,
− u
4
a + 2u
3
a − 5u
2
a + 3au + u
2
+ b − 2a − u + 2,
3u
4
a − 9u
3
a − u
4
+ 16u
2
a + 3u
3
+ 2a
2
− 17au − 6u
2
+ 4a + 7u − 2, u
5
− 3u
4
+ 6u
3
− 7u
2
+ 4u − 2i
I
u
3
= hu
2
+ d, −u
2
+ c − 1, 2au − u
2
+ b + a − u, 4u
2
a + a
2
+ au − 3u
2
+ 6a − u − 5, u
3
+ u
2
+ 2u + 1i
I
u
4
= hu
2
c + cu − u
2
+ d + 2c − u − 1, u
2
c + c
2
− u
2
+ c − 1, b − u, a + u, u
3
+ u
2
+ 2u + 1i
I
u
5
= hu
2
+ d, −u
2
+ c − 1, b − u, a + u, u
3
+ u
2
+ 2u + 1i
I
v
1
= ha, d + 1, c − a + 1, b + 1, v + 1i
I
v
2
= ha, d, c − 1, b + 1, v − 1i
I
v
3
= hc, d − 1, b, a − 1, v − 1i
I
v
4
= ha, da + c − v − 1, dv − 1, cv − v
2
+ a − v, b + 1i
* 8 irreducible components of dim
C
= 0, with total 41 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