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)
11n
75
(K11n
75
)
A knot diagram
1
Linearized knot diagam
4 1 8 2 11 9 4 10 7 1 6
Solving Sequence
4,7
8
1,3
2
5,10
9 6 11
c
7
c
3
c
2
c
4
c
9
c
6
c
11
c
1
, c
5
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h563u
12
+ 528u
11
+ ··· + 40878d + 8114, 15485u
12
+ 31932u
11
+ ··· + 490536c − 416896,
19430u
12
+ 31239u
11
+ ··· + 245268b + 104720, 1958u
12
+ 5628u
11
+ ··· + 81756a − 64396,
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
4
c + 2u
3
c − 4u
2
c + 3cu + u
2
+ d − 2c − u + 2,
3u
4
c − 9u
3
c − u
4
+ 16u
2
c + 3u
3
+ 2c
2
− 17cu − 6u
2
+ 4c + 7u − 2, u
2
+ b − u + 1,
− u
4
+ 3u
3
− 6u
2
+ 2a + 5u − 2, u
5
− 3u
4
+ 6u
3
− 7u
2
+ 4u − 2i
I
u
3
= hu
2
+ d + u + 1, c + u, −au + u
2
+ b + u + 1, u
2
a + a
2
− u
2
+ a − 1, u
3
+ u
2
+ 2u + 1i
I
u
4
= h−au + d, −2u
2
a − au + u
2
+ c − 3a + 1, −au + u
2
+ b + u + 1, u
2
a + a
2
− u
2
+ a − 1, u
3
+ u
2
+ 2u + 1i
I
u
5
= hu
2
+ d + u + 1, c + u, u
2
+ b + u + 3, −u
2
+ a − 1, u
3
+ u
2
+ 2u + 1i
I
v
1
= hc, d + 1, b, a + 1, v + 1i
I
v
2
= ha, d, c − 1, b + 1, v − 1i
I
v
3
= ha, d + 1, c − a, b + 1, v − 1i
I
v
4
= hc, d + 1, −av + c − v, bv + 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