11n
127
(K11n
127
)
A knot diagram
1
Linearized knot diagam
7 1 10 7 9 2 10 5 3 8 9
Solving Sequence
1,7
2
3,10
4 8 6 9 5 11
c
1
c
2
c
3
c
7
c
6
c
9
c
5
c
11
c
4
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
15
+ 6u
14
+ ··· + 2b − 11u, −u
15
+ 3u
14
+ ··· + 2a + 11, u
16
− 4u
15
+ ··· − 14u + 4i
I
u
2
= hu
8
+ 2u
7
+ 4u
6
+ 5u
5
+ 6u
4
+ 6u
3
+ 3u
2
+ b + 2u + 1, u
7
+ u
6
+ 2u
5
+ u
4
+ 2u
3
+ 2u
2
+ a,
u
9
+ u
8
+ 3u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ 1i
I
u
3
= h2u
3
ba − 2u
4
a + u
2
ba − 2u
3
a + 2bau − 2u
2
a + b
2
+ 2ba − au + u
2
+ 2u + 1,
u
4
a + u
3
a − u
4
+ 2u
2
a + a
2
+ au − u
2
+ a + u, u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1i
* 3 irreducible components of dim
C
= 0, with total 45 representations.
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
I. I
u
1
=
h−u
15
+6u
14
+· · ·+2b−11u, −u
15
+3u
14
+· · ·+2a+11, u
16
−4u
15
+· · ·−14u+4i
(i) Arc colorings
a
1
=
1
0
a
7
=
0
u
a
2
=
1
−u
2
a
3
=
u
2
+ 1
−u
2
a
10
=
1
2
u
15
−
3
2
u
14
+ ··· + 13u −
11
2
1
2
u
15
− 3u
14
+ ··· −
23
2
u
2
+
11
2
u
a
4
=
3
4
u
15
−
5
2
u
14
+ ··· +
27
4
u − 2
−
1
2
u
15
+ 2u
14
+ ··· −
7
2
u + 1
a
8
=
1
4
u
15
+
1
2
u
14
+ ··· −
27
4
u + 3
−
1
2
u
15
+ u
14
+ ··· +
1
2
u − 1
a
6
=
−u
u
3
+ u
a
9
=
−
3
2
u
14
+ 5u
13
+ ··· +
33
2
u −
15
2
3
2
u
15
− 5u
14
+ ··· −
33
2
u
2
+
15
2
u
a
5
=
3
4
u
15
−
5
2
u
14
+ ··· +
27
4
u − 2
−
1
2
u
15
+ 2u
14
+ ··· −
15
2
u + 3
a
11
=
1
4
u
15
+
1
2
u
14
+ ··· −
23
4
u + 4
−
3
2
u
15
+ 4u
14
+ ··· −
13
2
u + 1
a
11
=
1
4
u
15
+
1
2
u
14
+ ··· −
23
4
u + 4
−
3
2
u
15
+ 4u
14
+ ··· −
13
2
u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = u
15
+ 2u
14
− 4u
13
+ 18u
12
− 23u
11
+ 36u
10
− 42u
9
+ 49u
8
−
57u
7
+ 38u
6
− 17u
5
+ 6u
4
− 4u
3
+ 23u
2
− 14u + 6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
16
+ 4u
15
+ ··· + 14u + 4
c
2
u
16
+ 8u
15
+ ··· − 12u + 16
c
3
, c
5
, c
8
c
9
u
16
− u
15
+ ··· − u + 1
c
4
u
16
+ u
15
+ ··· − u + 1
c
7
, c
10
u
16
− 9u
15
+ ··· − 128u + 32
c
11
u
16
+ 3u
15
+ ··· − u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
16
+ 8y
15
+ ··· − 12y + 16
c
2
y
16
+ 20y
14
+ ··· + 784y + 256
c
3
, c
5
, c
8
c
9
y
16
+ y
15
+ ··· − 5y + 1
c
4
y
16
+ 29y
15
+ ··· + 31y + 1
c
7
, c
10
y
16
− 13y
15
+ ··· − 512y + 1024
c
11
y
16
+ 17y
15
+ ··· − 21y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.942369 + 0.202951I
a = −1.72389 − 0.04762I
b = 0.379524 + 0.857765I
−6.09218 − 7.65352I 5.03016 + 4.26371I
u = 0.942369 − 0.202951I
a = −1.72389 + 0.04762I
b = 0.379524 − 0.857765I
−6.09218 + 7.65352I 5.03016 − 4.26371I
u = 0.278245 + 1.091110I
a = 0.701786 − 0.590992I
b = −0.528417 − 0.110176I
−3.59071 + 0.23489I 0.00495 + 2.03163I
u = 0.278245 − 1.091110I
a = 0.701786 + 0.590992I
b = −0.528417 + 0.110176I
−3.59071 − 0.23489I 0.00495 − 2.03163I
u = −0.666650 + 0.457955I
a = 0.813008 − 0.264852I
b = 0.209000 + 0.442237I
1.227240 − 0.533814I 8.87917 + 3.72662I
u = −0.666650 − 0.457955I
a = 0.813008 + 0.264852I
b = 0.209000 − 0.442237I
1.227240 + 0.533814I 8.87917 − 3.72662I
u = 0.709198 + 0.345008I
a = 0.992942 + 0.950055I
b = 0.076805 − 1.100350I
0.53868 − 2.34706I 5.73269 + 5.07520I
u = 0.709198 − 0.345008I
a = 0.992942 − 0.950055I
b = 0.076805 + 1.100350I
0.53868 + 2.34706I 5.73269 − 5.07520I
u = 0.555419 + 1.111790I
a = −0.674901 − 0.885563I
b = −0.72750 + 1.84198I
−1.69676 + 7.19836I 2.21492 − 9.55770I
u = 0.555419 − 1.111790I
a = −0.674901 + 0.885563I
b = −0.72750 − 1.84198I
−1.69676 − 7.19836I 2.21492 + 9.55770I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.706391 + 1.042180I
a = 0.131675 + 0.901270I
b = −0.95468 − 1.04353I
−0.51238 − 4.79975I 9.59566 + 5.34793I
u = −0.706391 − 1.042180I
a = 0.131675 − 0.901270I
b = −0.95468 + 1.04353I
−0.51238 + 4.79975I 9.59566 − 5.34793I
u = 0.572643 + 1.229640I
a = −0.261905 + 1.244920I
b = 1.82806 − 2.11251I
−9.2176 + 13.1290I 2.40989 − 7.11896I
u = 0.572643 − 1.229640I
a = −0.261905 − 1.244920I
b = 1.82806 + 2.11251I
−9.2176 − 13.1290I 2.40989 + 7.11896I
u = 0.315167 + 1.323970I
a = −0.478712 + 1.077590I
b = 0.217216 − 1.305260I
−11.08760 − 3.34610I 0.13256 + 2.28731I
u = 0.315167 − 1.323970I
a = −0.478712 − 1.077590I
b = 0.217216 + 1.305260I
−11.08760 + 3.34610I 0.13256 − 2.28731I
6
II. I
u
2
=
hu
8
+2u
7
+· · ·+b+1, u
7
+u
6
+2u
5
+u
4
+2u
3
+2u
2
+a, u
9
+u
8
+· · ·+2u
2
+1i
(i) Arc colorings
a
1
=
1
0
a
7
=
0
u
a
2
=
1
−u
2
a
3
=
u
2
+ 1
−u
2
a
10
=
−u
7
− u
6
− 2u
5
− u
4
− 2u
3
− 2u
2
−u
8
− 2u
7
− 4u
6
− 5u
5
− 6u
4
− 6u
3
− 3u
2
− 2u − 1
a
4
=
u
6
+ u
5
+ 2u
4
+ u
3
+ 2u
2
+ u
u
8
+ 2u
7
+ 3u
6
+ 3u
5
+ 3u
4
+ 4u
3
+ 2u
2
+ u
a
8
=
2u
8
+ u
7
+ 4u
6
+ u
5
+ 4u
4
+ 2u
3
− u
2
+ 2u − 1
−u
8
− u
7
− u
6
− u
3
+ u
2
+ u − 1
a
6
=
−u
u
3
+ u
a
9
=
u
8
+ u
6
− u
5
− u
3
− 3u
2
− 1
−u
8
− 2u
7
− 3u
6
− 4u
5
− 4u
4
− 5u
3
− 2u
2
− u − 1
a
5
=
u
6
+ u
5
+ 2u
4
+ u
3
+ 2u
2
+ u
u
7
+ u
6
+ 2u
5
+ u
4
+ 3u
3
+ 2u
2
+ u
a
11
=
−2u
8
− u
7
− 4u
6
− 2u
5
− 5u
4
− 4u
3
− 3u
u
8
+ 2u
7
+ 2u
6
+ 3u
5
+ 2u
4
+ 4u
3
+ u
2
− u + 2
a
11
=
−2u
8
− u
7
− 4u
6
− 2u
5
− 5u
4
− 4u
3
− 3u
u
8
+ 2u
7
+ 2u
6
+ 3u
5
+ 2u
4
+ 4u
3
+ u
2
− u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u
8
− 9u
7
− 17u
6
− 14u
5
− 13u
4
− 19u
3
+ 3u
2
− 4u + 7
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
9
+ u
8
+ 3u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ 1
c
2
u
9
+ 5u
8
+ 13u
7
+ 18u
6
+ 12u
5
− 3u
4
− 12u
3
− 10u
2
− 4u − 1
c
3
, c
8
u
9
+ u
8
− 3u
7
− 3u
6
+ u
5
+ 2u
4
+ 3u
3
+ u
2
− u − 1
c
4
u
9
− u
8
− u
7
+ 3u
6
− 2u
5
+ u
4
+ 3u
3
− 3u
2
− u + 1
c
5
, c
9
u
9
− u
8
− 3u
7
+ 3u
6
+ u
5
− 2u
4
+ 3u
3
− u
2
− u + 1
c
6
u
9
− u
8
+ 3u
7
− 2u
6
+ 4u
5
− 3u
4
+ 2u
3
− 2u
2
− 1
c
7
u
9
− 2u
8
− 3u
7
+ 6u
6
+ 4u
5
− 7u
4
− 2u
3
+ 4u
2
+ u − 1
c
10
u
9
+ 2u
8
− 3u
7
− 6u
6
+ 4u
5
+ 7u
4
− 2u
3
− 4u
2
+ u + 1
c
11
u
9
+ u
8
− 3u
7
+ u
6
+ 5u
5
− 8u
4
+ 7u
3
− 5u
2
+ 3u − 1
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
9
+ 5y
8
+ 13y
7
+ 18y
6
+ 12y
5
− 3y
4
− 12y
3
− 10y
2
− 4y −1
c
2
y
9
+ y
8
+ 13y
7
− 6y
6
+ 32y
5
− 31y
4
+ 24y
3
− 10y
2
− 4y −1
c
3
, c
5
, c
8
c
9
y
9
− 7y
8
+ 17y
7
− 13y
6
− 9y
5
+ 16y
4
− 3y
3
− 3y
2
+ 3y −1
c
4
y
9
− 3y
8
+ 3y
7
+ 3y
6
− 16y
5
+ 9y
4
+ 13y
3
− 17y
2
+ 7y −1
c
7
, c
10
y
9
− 10y
8
+ 41y
7
− 92y
6
+ 130y
5
− 123y
4
+ 80y
3
− 34y
2
+ 9y −1
c
11
y
9
− 7y
8
+ 17y
7
− y
6
+ 15y
5
+ y
3
+ y
2
− y −1
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.277669 + 0.932262I
a = 0.66814 + 1.66313I
b = −1.61486 − 0.17253I
−5.14657 − 1.15296I −4.87761 + 0.08024I
u = −0.277669 − 0.932262I
a = 0.66814 − 1.66313I
b = −1.61486 + 0.17253I
−5.14657 + 1.15296I −4.87761 − 0.08024I
u = −0.938745
a = 0.531564
b = 0.127243
2.27396 18.5500
u = 0.467120 + 1.031000I
a = 0.163102 − 1.011920I
b = −1.29297 + 2.17581I
2.64932 + 3.16170I 4.24677 − 4.92069I
u = 0.467120 − 1.031000I
a = 0.163102 + 1.011920I
b = −1.29297 − 2.17581I
2.64932 − 3.16170I 4.24677 + 4.92069I
u = 0.379126 + 0.580278I
a = 0.955194 − 0.520788I
b = 0.99687 − 1.01843I
4.15634 + 0.57166I 10.33448 + 2.09908I
u = 0.379126 − 0.580278I
a = 0.955194 + 0.520788I
b = 0.99687 + 1.01843I
4.15634 − 0.57166I 10.33448 − 2.09908I
u = −0.599205 + 1.212400I
a = −0.052214 + 0.684269I
b = −0.652657 − 1.185850I
−1.15114 − 5.45727I 5.02115 + 10.16231I
u = −0.599205 − 1.212400I
a = −0.052214 − 0.684269I
b = −0.652657 + 1.185850I
−1.15114 + 5.45727I 5.02115 − 10.16231I
10
III. I
u
3
= h2u
3
ba − 2u
4
a + · · · + 2ba + 1, u
4
a + u
3
a − u
4
+ 2u
2
a + a
2
+ au −
u
2
+ a + u, u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1i
(i) Arc colorings
a
1
=
1
0
a
7
=
0
u
a
2
=
1
−u
2
a
3
=
u
2
+ 1
−u
2
a
10
=
a
b
a
4
=
−u
2
ba − ba − au + u
2
−u
4
ba − u
3
a + u
4
+ 2u
3
+ au + u
2
+ 2u + 1
a
8
=
u
4
+ u
3
+ 2u
2
− a + u + 1
−bau + u
a
6
=
−u
u
3
+ u
a
9
=
−u
4
b − u
4
a − 2u
2
b − u
2
a − b + a
u
4
b + u
4
a + u
2
b + b
a
5
=
−u
2
ba − ba − au + u
2
u
2
ba + 2u
3
+ au + u
2
+ 2u + 1
a
11
=
u
4
+ u
3
+ 2u
2
− a + u + 1
−bau + u
2
a
a
11
=
u
4
+ u
3
+ 2u
2
− a + u + 1
−bau + u
2
a
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
3
− 4u
2
− 4u + 2
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
4
c
2
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
4
c
3
, c
5
, c
8
c
9
u
20
− u
19
+ ··· − 10u − 1
c
4
u
20
+ u
19
+ ··· + 148u + 131
c
7
, c
10
(u
2
+ u − 1)
10
c
11
u
20
+ 5u
19
+ ··· − 140u − 71
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
4
c
2
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
4
c
3
, c
5
, c
8
c
9
y
20
− 5y
19
+ ··· − 44y + 1
c
4
y
20
+ 15y
19
+ ··· − 33432y + 17161
c
7
, c
10
(y
2
− 3y + 1)
10
c
11
y
20
− y
19
+ ··· − 17044y + 5041
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.339110 + 0.822375I
a = −0.264858 + 0.642307I
b = −0.66048 + 1.35031I
3.61874 + 1.53058I 5.48489 − 4.43065I
u = 0.339110 + 0.822375I
a = −0.264858 + 0.642307I
b = 1.94204 − 1.43725I
3.61874 + 1.53058I 5.48489 − 4.43065I
u = 0.339110 + 0.822375I
a = 0.69341 − 1.68158I
b = −0.784885 + 0.673984I
−4.27694 + 1.53058I 5.48489 − 4.43065I
u = 0.339110 + 0.822375I
a = 0.69341 − 1.68158I
b = −2.57027 − 0.44637I
−4.27694 + 1.53058I 5.48489 − 4.43065I
u = 0.339110 − 0.822375I
a = −0.264858 − 0.642307I
b = −0.66048 − 1.35031I
3.61874 − 1.53058I 5.48489 + 4.43065I
u = 0.339110 − 0.822375I
a = −0.264858 − 0.642307I
b = 1.94204 + 1.43725I
3.61874 − 1.53058I 5.48489 + 4.43065I
u = 0.339110 − 0.822375I
a = 0.69341 + 1.68158I
b = −0.784885 − 0.673984I
−4.27694 − 1.53058I 5.48489 + 4.43065I
u = 0.339110 − 0.822375I
a = 0.69341 + 1.68158I
b = −2.57027 + 0.44637I
−4.27694 − 1.53058I 5.48489 + 4.43065I
u = −0.766826
a = 0.805964
b = −0.392752
1.54676 4.51890
u = −0.766826
a = 0.805964
b = 0.269802
1.54676 4.51890
14
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.766826
a = −2.11004
b = 0.160943 + 0.669501I
−6.34892 4.51890
u = −0.766826
a = −2.11004
b = 0.160943 − 0.669501I
−6.34892 4.51890
u = −0.455697 + 1.200150I
a = −0.447404 − 1.178310I
b = 0.21064 + 1.68233I
−9.82040 − 4.40083I 1.25569 + 3.49859I
u = −0.455697 + 1.200150I
a = −0.447404 − 1.178310I
b = 2.17455 + 2.27205I
−9.82040 − 4.40083I 1.25569 + 3.49859I
u = −0.455697 + 1.200150I
a = 0.170893 + 0.450075I
b = −0.90313 − 1.27207I
−1.92472 − 4.40083I 1.25569 + 3.49859I
u = −0.455697 + 1.200150I
a = 0.170893 + 0.450075I
b = −0.007932 − 0.238370I
−1.92472 − 4.40083I 1.25569 + 3.49859I
u = −0.455697 − 1.200150I
a = −0.447404 + 1.178310I
b = 0.21064 − 1.68233I
−9.82040 + 4.40083I 1.25569 − 3.49859I
u = −0.455697 − 1.200150I
a = −0.447404 + 1.178310I
b = 2.17455 − 2.27205I
−9.82040 + 4.40083I 1.25569 − 3.49859I
u = −0.455697 − 1.200150I
a = 0.170893 − 0.450075I
b = −0.90313 + 1.27207I
−1.92472 + 4.40083I 1.25569 − 3.49859I
u = −0.455697 − 1.200150I
a = 0.170893 − 0.450075I
b = −0.007932 + 0.238370I
−1.92472 + 4.40083I 1.25569 − 3.49859I
15
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
4
· (u
9
+ u
8
+ 3u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ 1)
· (u
16
+ 4u
15
+ ··· + 14u + 4)
c
2
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
4
· (u
9
+ 5u
8
+ 13u
7
+ 18u
6
+ 12u
5
− 3u
4
− 12u
3
− 10u
2
− 4u − 1)
· (u
16
+ 8u
15
+ ··· − 12u + 16)
c
3
, c
8
(u
9
+ u
8
− 3u
7
− 3u
6
+ u
5
+ 2u
4
+ 3u
3
+ u
2
− u − 1)
· (u
16
− u
15
+ ··· − u + 1)(u
20
− u
19
+ ··· − 10u − 1)
c
4
(u
9
− u
8
− u
7
+ 3u
6
− 2u
5
+ u
4
+ 3u
3
− 3u
2
− u + 1)
· (u
16
+ u
15
+ ··· − u + 1)(u
20
+ u
19
+ ··· + 148u + 131)
c
5
, c
9
(u
9
− u
8
− 3u
7
+ 3u
6
+ u
5
− 2u
4
+ 3u
3
− u
2
− u + 1)
· (u
16
− u
15
+ ··· − u + 1)(u
20
− u
19
+ ··· − 10u − 1)
c
6
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
4
· (u
9
− u
8
+ 3u
7
− 2u
6
+ 4u
5
− 3u
4
+ 2u
3
− 2u
2
− 1)
· (u
16
+ 4u
15
+ ··· + 14u + 4)
c
7
(u
2
+ u − 1)
10
(u
9
− 2u
8
− 3u
7
+ 6u
6
+ 4u
5
− 7u
4
− 2u
3
+ 4u
2
+ u − 1)
· (u
16
− 9u
15
+ ··· − 128u + 32)
c
10
(u
2
+ u − 1)
10
(u
9
+ 2u
8
− 3u
7
− 6u
6
+ 4u
5
+ 7u
4
− 2u
3
− 4u
2
+ u + 1)
· (u
16
− 9u
15
+ ··· − 128u + 32)
c
11
(u
9
+ u
8
− 3u
7
+ u
6
+ 5u
5
− 8u
4
+ 7u
3
− 5u
2
+ 3u − 1)
· (u
16
+ 3u
15
+ ··· − u + 1)(u
20
+ 5u
19
+ ··· − 140u − 71)
16
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
4
· (y
9
+ 5y
8
+ 13y
7
+ 18y
6
+ 12y
5
− 3y
4
− 12y
3
− 10y
2
− 4y − 1)
· (y
16
+ 8y
15
+ ··· − 12y + 16)
c
2
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
4
· (y
9
+ y
8
+ 13y
7
− 6y
6
+ 32y
5
− 31y
4
+ 24y
3
− 10y
2
− 4y − 1)
· (y
16
+ 20y
14
+ ··· + 784y + 256)
c
3
, c
5
, c
8
c
9
(y
9
− 7y
8
+ 17y
7
− 13y
6
− 9y
5
+ 16y
4
− 3y
3
− 3y
2
+ 3y − 1)
· (y
16
+ y
15
+ ··· − 5y + 1)(y
20
− 5y
19
+ ··· − 44y + 1)
c
4
(y
9
− 3y
8
+ 3y
7
+ 3y
6
− 16y
5
+ 9y
4
+ 13y
3
− 17y
2
+ 7y − 1)
· (y
16
+ 29y
15
+ ··· + 31y + 1)(y
20
+ 15y
19
+ ··· − 33432y + 17161)
c
7
, c
10
(y
2
− 3y + 1)
10
· (y
9
− 10y
8
+ 41y
7
− 92y
6
+ 130y
5
− 123y
4
+ 80y
3
− 34y
2
+ 9y − 1)
· (y
16
− 13y
15
+ ··· − 512y + 1024)
c
11
(y
9
− 7y
8
+ 17y
7
− y
6
+ 15y
5
+ y
3
+ y
2
− y − 1)
· (y
16
+ 17y
15
+ ··· − 21y + 1)(y
20
− y
19
+ ··· − 17044y + 5041)
17
