11n
155
(K11n
155
)
A knot diagram
1
Linearized knot diagam
10 8 1 2 9 3 1 6 5 4 8
Solving Sequence
5,9
6
2,10
1 4 3 7 8 11
c
5
c
9
c
1
c
4
c
3
c
6
c
8
c
11
c
2
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= hu
17
+ 5u
16
+ ··· + b + 1, u
17
+ 7u
16
+ ··· + 2a + 17, u
18
+ 5u
17
+ ··· + 13u + 2i
I
u
2
= hu
5
+ u
4
+ 3u
3
+ 2u
2
+ b + 2u, u
5
+ 2u
4
+ 4u
3
+ 5u
2
+ a + 4u + 2,
u
9
+ 2u
8
+ 7u
7
+ 10u
6
+ 16u
5
+ 15u
4
+ 12u
3
+ 5u
2
− 1i
I
u
3
= hu
7
a + 4u
7
+ 5u
5
a − 7u
6
+ u
4
a + 20u
5
+ 8u
3
a − 24u
4
+ 4u
2
a + 25u
3
+ 6au − 19u
2
+ 7b − a + 3u + 3,
u
6
a + u
7
− 2u
5
a + 5u
4
a + 4u
5
− 6u
3
a − u
4
+ 6u
2
a + 5u
3
+ a
2
− 4au − 3u
2
+ a + u + 2,
u
8
− u
7
+ 5u
6
− 4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1i
* 3 irreducible components of dim
C
= 0, with total 43 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
= hu
17
+5u
16
+· · ·+b+1, u
17
+7u
16
+· · ·+2a+17, u
18
+5u
17
+· · ·+13u+2i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
−u
2
a
2
=
−
1
2
u
17
−
7
2
u
16
+ ··· − 42u −
17
2
−u
17
− 5u
16
+ ··· − 14u − 1
a
10
=
u
u
a
1
=
−
1
2
u
17
−
7
2
u
16
+ ··· − 30u −
13
2
−u
17
− 5u
16
+ ··· − 2u + 1
a
4
=
1
2
u
17
+
3
2
u
16
+ ··· − 10u −
5
2
−u
17
− 5u
16
+ ··· − 20u − 3
a
3
=
−
3
2
u
17
−
15
2
u
16
+ ··· − 45u −
17
2
−u
17
− 4u
16
+ ··· − 2u
2
+ 1
a
7
=
−
1
2
u
17
−
5
2
u
16
+ ··· − 6u −
1
2
−u
16
− 4u
15
+ ··· − 6u − 1
a
8
=
−u
u
3
+ u
a
11
=
−
1
2
u
17
−
7
2
u
16
+ ··· − 29u −
13
2
−u
17
− 5u
16
+ ··· − 3u + 1
a
11
=
−
1
2
u
17
−
7
2
u
16
+ ··· − 29u −
13
2
−u
17
− 5u
16
+ ··· − 3u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes
= 4u
17
+ 19u
16
+ 83u
15
+ 236u
14
+ 583u
13
+ 1152u
12
+ 1976u
11
+ 2870u
10
+ 3638u
9
+
3961u
8
+ 3775u
7
+ 3072u
6
+ 2159u
5
+ 1248u
4
+ 580u
3
+ 175u
2
+ 39u − 4
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
18
+ u
17
+ ··· − 6u + 1
c
2
u
18
− 10u
16
+ ··· − u + 23
c
3
u
18
− 11u
17
+ ··· − 17u + 24
c
5
, c
8
, c
9
u
18
+ 5u
17
+ ··· + 13u + 2
c
6
, c
7
, c
11
u
18
+ u
17
+ ··· + u + 1
c
10
u
18
+ 16u
17
+ ··· + 1792u + 256
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
18
+ 11y
17
+ ··· − 8y + 1
c
2
y
18
− 20y
17
+ ··· + 597y + 529
c
3
y
18
− 23y
17
+ ··· − 433y + 576
c
5
, c
8
, c
9
y
18
+ 19y
17
+ ··· + 47y + 4
c
6
, c
7
, c
11
y
18
− 27y
17
+ ··· − 7y + 1
c
10
y
18
+ 70y
16
+ ··· + 262144y + 65536
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.792060 + 0.657087I
a = 0.537685 + 0.783791I
b = −0.78194 + 1.18447I
−8.36952 − 8.49029I −4.40486 + 6.13776I
u = −0.792060 − 0.657087I
a = 0.537685 − 0.783791I
b = −0.78194 − 1.18447I
−8.36952 + 8.49029I −4.40486 − 6.13776I
u = 0.298470 + 0.918902I
a = 0.477719 − 0.191775I
b = 0.302221 + 0.080115I
−0.45845 + 1.47133I −0.00849 − 6.64687I
u = 0.298470 − 0.918902I
a = 0.477719 + 0.191775I
b = 0.302221 − 0.080115I
−0.45845 − 1.47133I −0.00849 + 6.64687I
u = −0.921919 + 0.489220I
a = −0.516597 + 0.056157I
b = −0.464186 − 0.991439I
−7.77265 + 2.85464I −5.54920 − 2.31741I
u = −0.921919 − 0.489220I
a = −0.516597 − 0.056157I
b = −0.464186 + 0.991439I
−7.77265 − 2.85464I −5.54920 + 2.31741I
u = −0.02005 + 1.48615I
a = 0.164479 + 1.268870I
b = −0.481449 + 0.953626I
−6.93662 + 0.90661I −5.69894 − 2.68686I
u = −0.02005 − 1.48615I
a = 0.164479 − 1.268870I
b = −0.481449 − 0.953626I
−6.93662 − 0.90661I −5.69894 + 2.68686I
u = −0.07899 + 1.48902I
a = 0.12260 − 1.85492I
b = 0.98678 − 1.23806I
−5.88062 − 4.16437I −5.71584 + 1.90881I
u = −0.07899 − 1.48902I
a = 0.12260 + 1.85492I
b = 0.98678 + 1.23806I
−5.88062 + 4.16437I −5.71584 − 1.90881I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.055529 + 0.496915I
a = 1.262720 + 0.103006I
b = 0.170673 + 0.568505I
−0.543265 + 1.120070I −3.86919 − 5.32416I
u = −0.055529 − 0.496915I
a = 1.262720 − 0.103006I
b = 0.170673 − 0.568505I
−0.543265 − 1.120070I −3.86919 + 5.32416I
u = −0.324172 + 0.337864I
a = −1.69010 − 0.72509I
b = 0.739762 − 0.866952I
0.25135 − 2.82287I −6.88072 + 3.05587I
u = −0.324172 − 0.337864I
a = −1.69010 + 0.72509I
b = 0.739762 + 0.866952I
0.25135 + 2.82287I −6.88072 − 3.05587I
u = −0.25901 + 1.58887I
a = 0.03925 + 1.88256I
b = −0.94339 + 1.44899I
−15.7704 − 12.3848I −6.66577 + 5.56864I
u = −0.25901 − 1.58887I
a = 0.03925 − 1.88256I
b = −0.94339 − 1.44899I
−15.7704 + 12.3848I −6.66577 − 5.56864I
u = −0.34675 + 1.59425I
a = −0.647761 − 0.887645I
b = −0.028471 − 1.040200I
−14.5599 − 1.9312I −9.20699 + 1.03940I
u = −0.34675 − 1.59425I
a = −0.647761 + 0.887645I
b = −0.028471 + 1.040200I
−14.5599 + 1.9312I −9.20699 − 1.03940I
6
II. I
u
2
= hu
5
+ u
4
+ 3u
3
+ 2u
2
+ b + 2u, u
5
+ 2u
4
+ 4u
3
+ 5u
2
+ a + 4u +
2, u
9
+ 2u
8
+ · · · + 5u
2
− 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
−u
2
a
2
=
−u
5
− 2u
4
− 4u
3
− 5u
2
− 4u − 2
−u
5
− u
4
− 3u
3
− 2u
2
− 2u
a
10
=
u
u
a
1
=
−u
6
− 2u
5
− 5u
4
− 6u
3
− 7u
2
− 4u − 2
−u
6
− 2u
5
− 4u
4
− 5u
3
− 4u
2
− 2u
a
4
=
u
6
+ 2u
5
+ 5u
4
+ 7u
3
+ 7u
2
+ 5u + 2
u
6
+ u
5
+ 4u
4
+ 3u
3
+ 4u
2
+ u
a
3
=
−u
7
− 2u
6
− 6u
5
− 8u
4
− 10u
3
− 8u
2
− 4u − 1
−u
7
− 2u
6
− 6u
5
− 7u
4
− 9u
3
− 5u
2
− 2u
a
7
=
u
8
+ 2u
7
+ 6u
6
+ 9u
5
+ 13u
4
+ 14u
3
+ 12u
2
+ 7u + 3
u
8
+ u
7
+ 4u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 3u
2
+ 3u + 1
a
8
=
−u
u
3
+ u
a
11
=
−u
6
− 2u
5
− 6u
4
− 7u
3
− 9u
2
− 5u − 2
−u
5
− u
4
− 3u
3
− 2u
2
− u
a
11
=
−u
6
− 2u
5
− 6u
4
− 7u
3
− 9u
2
− 5u − 2
−u
5
− u
4
− 3u
3
− 2u
2
− u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4u
8
− 5u
7
− 26u
6
− 25u
5
− 52u
4
− 35u
3
− 29u
2
− 7u + 1
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
9
− u
8
+ 3u
6
− 2u
4
+ 3u
3
+ u
2
− u + 1
c
2
u
9
− 4u
7
+ 2u
6
+ 9u
5
+ 2u
4
− u
3
+ u
2
+ 1
c
3
u
9
+ 8u
8
+ 28u
7
+ 59u
6
+ 88u
5
+ 99u
4
+ 83u
3
+ 51u
2
+ 21u + 5
c
5
u
9
+ 2u
8
+ 7u
7
+ 10u
6
+ 16u
5
+ 15u
4
+ 12u
3
+ 5u
2
− 1
c
6
, c
11
u
9
− u
8
− 3u
7
+ 2u
6
+ 2u
4
+ 3u
2
+ 1
c
7
u
9
+ u
8
− 3u
7
− 2u
6
− 2u
4
− 3u
2
− 1
c
8
, c
9
u
9
− 2u
8
+ 7u
7
− 10u
6
+ 16u
5
− 15u
4
+ 12u
3
− 5u
2
+ 1
c
10
u
9
− u
8
+ u
7
+ 3u
6
− 2u
5
+ 3u
3
− u + 1
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
9
− y
8
+ 6y
7
− 7y
6
+ 12y
5
− 8y
4
+ 7y
3
− 3y
2
− y −1
c
2
y
9
− 8y
8
+ 34y
7
− 78y
6
+ 81y
5
− 26y
4
− 7y
3
− 5y
2
− 2y −1
c
3
y
9
− 8y
8
+ 16y
7
+ 29y
6
− 64y
5
− 115y
4
− 103y
3
− 105y
2
− 69y −25
c
5
, c
8
, c
9
y
9
+ 10y
8
+ 41y
7
+ 88y
6
+ 104y
5
+ 63y
4
+ 14y
3
+ 5y
2
+ 10y −1
c
6
, c
7
, c
11
y
9
− 7y
8
+ 13y
7
− 2y
5
− 14y
4
− 16y
3
− 13y
2
− 6y −1
c
10
y
9
+ y
8
+ 3y
7
− 7y
6
+ 8y
5
− 12y
4
+ 7y
3
− 6y
2
+ y −1
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.472195 + 1.057080I
a = 0.638591 + 0.138962I
b = 0.291926 + 0.569978I
−0.857058 − 0.898737I −7.48049 − 2.86554I
u = −0.472195 − 1.057080I
a = 0.638591 − 0.138962I
b = 0.291926 − 0.569978I
−0.857058 + 0.898737I −7.48049 + 2.86554I
u = −0.604705 + 0.345427I
a = −0.706537 − 0.317251I
b = 0.704599 − 0.747798I
1.13540 − 3.06246I 3.40537 + 6.53342I
u = −0.604705 − 0.345427I
a = −0.706537 + 0.317251I
b = 0.704599 + 0.747798I
1.13540 + 3.06246I 3.40537 − 6.53342I
u = 0.10064 + 1.48635I
a = −0.669727 + 1.221890I
b = −0.985174 + 0.537720I
−11.81420 + 1.53593I −5.20172 − 0.08744I
u = 0.10064 − 1.48635I
a = −0.669727 − 1.221890I
b = −0.985174 − 0.537720I
−11.81420 − 1.53593I −5.20172 + 0.08744I
u = −0.17693 + 1.49366I
a = 0.15276 − 1.61277I
b = 0.93778 − 1.07792I
−4.99677 − 5.78819I −2.01216 + 5.60852I
u = −0.17693 − 1.49366I
a = 0.15276 + 1.61277I
b = 0.93778 + 1.07792I
−4.99677 + 5.78819I −2.01216 − 5.60852I
u = 0.306375
a = −3.83018
b = −0.898266
−6.41317 −5.42200
10
III. I
u
3
= hu
7
a + 4u
7
+ · · · − a + 3, u
6
a + u
7
+ · · · + a + 2, u
8
− u
7
+ 5u
6
−
4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
6
=
1
−u
2
a
2
=
a
−
1
7
u
7
a −
4
7
u
7
+ ··· +
1
7
a −
3
7
a
10
=
u
u
a
1
=
1
7
u
7
a −
3
7
u
7
+ ··· +
6
7
a +
3
7
−u
7
+ 2u
6
− 5u
5
+ 6u
4
− 6u
3
− au + 4u
2
− u
a
4
=
−
3
7
u
7
a +
2
7
u
7
+ ··· −
4
7
a −
2
7
−
3
7
u
7
a +
9
7
u
7
+ ··· −
4
7
a −
2
7
a
3
=
1
7
u
7
a −
3
7
u
7
+ ··· +
6
7
a +
3
7
−
3
7
u
7
a −
5
7
u
7
+ ··· +
3
7
a −
2
7
a
7
=
−u
6
+ 2u
5
− 5u
4
+ 6u
3
− 6u
2
+ a + 4u − 1
1
7
u
7
a +
4
7
u
7
+ ··· −
1
7
a +
3
7
a
8
=
−u
u
3
+ u
a
11
=
3
7
u
7
a −
2
7
u
7
+ ··· +
4
7
a +
2
7
3
7
u
7
a −
9
7
u
7
+ ··· +
4
7
a +
2
7
a
11
=
3
7
u
7
a −
2
7
u
7
+ ··· +
4
7
a +
2
7
3
7
u
7
a −
9
7
u
7
+ ··· +
4
7
a +
2
7
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
6
+ 4u
5
− 16u
4
+ 12u
3
− 16u
2
+ 8u − 10
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
16
+ 7u
15
+ ··· + 26u + 7
c
2
u
16
− u
15
+ ··· − 244u + 263
c
3
(u
8
+ 7u
7
+ 17u
6
+ 14u
5
− u
4
+ 2u
3
+ 6u
2
− 4u + 1)
2
c
5
, c
8
, c
9
(u
8
− u
7
+ 5u
6
− 4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1)
2
c
6
, c
7
, c
11
u
16
− u
15
+ ··· + 54u + 43
c
10
(u − 1)
16
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
16
− y
15
+ ··· + 472y + 49
c
2
y
16
− 17y
15
+ ··· − 326744y + 69169
c
3
(y
8
− 15y
7
+ 91y
6
− 246y
5
+ 207y
4
+ 130y
3
+ 50y
2
− 4y + 1)
2
c
5
, c
8
, c
9
(y
8
+ 9y
7
+ 31y
6
+ 50y
5
+ 39y
4
+ 22y
3
+ 18y
2
+ 4y + 1)
2
c
6
, c
7
, c
11
y
16
− 21y
15
+ ··· − 8076y + 1849
c
10
(y −1)
16
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.647085 + 0.502738I
a = 0.872903 − 0.232256I
b = −0.232467 − 0.600007I
0.02985 + 2.18536I −4.41681 − 3.14055I
u = 0.647085 + 0.502738I
a = −0.142877 + 0.389508I
b = 0.530385 + 0.793677I
0.02985 + 2.18536I −4.41681 − 3.14055I
u = 0.647085 − 0.502738I
a = 0.872903 + 0.232256I
b = −0.232467 + 0.600007I
0.02985 − 2.18536I −4.41681 + 3.14055I
u = 0.647085 − 0.502738I
a = −0.142877 − 0.389508I
b = 0.530385 − 0.793677I
0.02985 − 2.18536I −4.41681 + 3.14055I
u = −0.283060 + 0.443755I
a = 0.178958 − 0.761216I
b = −1.37934 − 0.90268I
−6.57974 − 1.04600I −8.00000 + 6.68545I
u = −0.283060 + 0.443755I
a = −0.54044 + 3.78312I
b = −0.503866 + 0.651460I
−6.57974 − 1.04600I −8.00000 + 6.68545I
u = −0.283060 − 0.443755I
a = 0.178958 + 0.761216I
b = −1.37934 + 0.90268I
−6.57974 + 1.04600I −8.00000 − 6.68545I
u = −0.283060 − 0.443755I
a = −0.54044 − 3.78312I
b = −0.503866 − 0.651460I
−6.57974 + 1.04600I −8.00000 − 6.68545I
u = −0.06382 + 1.51723I
a = −1.65804 − 1.38014I
b = −2.13775 − 1.37856I
−13.18930 − 2.18536I −11.58319 + 3.14055I
u = −0.06382 + 1.51723I
a = −0.87605 + 2.17258I
b = −0.028221 + 0.727930I
−13.18930 − 2.18536I −11.58319 + 3.14055I
14
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.06382 − 1.51723I
a = −1.65804 + 1.38014I
b = −2.13775 + 1.37856I
−13.18930 + 2.18536I −11.58319 − 3.14055I
u = −0.06382 − 1.51723I
a = −0.87605 − 2.17258I
b = −0.028221 − 0.727930I
−13.18930 + 2.18536I −11.58319 − 3.14055I
u = 0.19980 + 1.51366I
a = 0.459450 − 1.258690I
b = −0.559608 − 0.857499I
−6.57974 + 5.23868I −8.00000 − 3.04258I
u = 0.19980 + 1.51366I
a = 0.20610 + 1.75223I
b = 0.81087 + 1.46236I
−6.57974 + 5.23868I −8.00000 − 3.04258I
u = 0.19980 − 1.51366I
a = 0.459450 + 1.258690I
b = −0.559608 + 0.857499I
−6.57974 − 5.23868I −8.00000 + 3.04258I
u = 0.19980 − 1.51366I
a = 0.20610 − 1.75223I
b = 0.81087 − 1.46236I
−6.57974 − 5.23868I −8.00000 + 3.04258I
15
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
4
(u
9
− u
8
+ ··· − u + 1)(u
16
+ 7u
15
+ ··· + 26u + 7)
· (u
18
+ u
17
+ ··· − 6u + 1)
c
2
(u
9
− 4u
7
+ ··· + u
2
+ 1)(u
16
− u
15
+ ··· − 244u + 263)
· (u
18
− 10u
16
+ ··· − u + 23)
c
3
(u
8
+ 7u
7
+ 17u
6
+ 14u
5
− u
4
+ 2u
3
+ 6u
2
− 4u + 1)
2
· (u
9
+ 8u
8
+ 28u
7
+ 59u
6
+ 88u
5
+ 99u
4
+ 83u
3
+ 51u
2
+ 21u + 5)
· (u
18
− 11u
17
+ ··· − 17u + 24)
c
5
(u
8
− u
7
+ 5u
6
− 4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1)
2
· (u
9
+ 2u
8
+ 7u
7
+ 10u
6
+ 16u
5
+ 15u
4
+ 12u
3
+ 5u
2
− 1)
· (u
18
+ 5u
17
+ ··· + 13u + 2)
c
6
, c
11
(u
9
− u
8
+ ··· + 3u
2
+ 1)(u
16
− u
15
+ ··· + 54u + 43)
· (u
18
+ u
17
+ ··· + u + 1)
c
7
(u
9
+ u
8
+ ··· − 3u
2
− 1)(u
16
− u
15
+ ··· + 54u + 43)
· (u
18
+ u
17
+ ··· + u + 1)
c
8
, c
9
(u
8
− u
7
+ 5u
6
− 4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1)
2
· (u
9
− 2u
8
+ 7u
7
− 10u
6
+ 16u
5
− 15u
4
+ 12u
3
− 5u
2
+ 1)
· (u
18
+ 5u
17
+ ··· + 13u + 2)
c
10
(u − 1)
16
(u
9
− u
8
+ u
7
+ 3u
6
− 2u
5
+ 3u
3
− u + 1)
· (u
18
+ 16u
17
+ ··· + 1792u + 256)
16
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
9
− y
8
+ 6y
7
− 7y
6
+ 12y
5
− 8y
4
+ 7y
3
− 3y
2
− y −1)
· (y
16
− y
15
+ ··· + 472y + 49)(y
18
+ 11y
17
+ ··· − 8y + 1)
c
2
(y
9
− 8y
8
+ 34y
7
− 78y
6
+ 81y
5
− 26y
4
− 7y
3
− 5y
2
− 2y −1)
· (y
16
− 17y
15
+ ··· − 326744y + 69169)
· (y
18
− 20y
17
+ ··· + 597y + 529)
c
3
(y
8
− 15y
7
+ 91y
6
− 246y
5
+ 207y
4
+ 130y
3
+ 50y
2
− 4y + 1)
2
· (y
9
− 8y
8
+ 16y
7
+ 29y
6
− 64y
5
− 115y
4
− 103y
3
− 105y
2
− 69y −25)
· (y
18
− 23y
17
+ ··· − 433y + 576)
c
5
, c
8
, c
9
(y
8
+ 9y
7
+ 31y
6
+ 50y
5
+ 39y
4
+ 22y
3
+ 18y
2
+ 4y + 1)
2
· (y
9
+ 10y
8
+ 41y
7
+ 88y
6
+ 104y
5
+ 63y
4
+ 14y
3
+ 5y
2
+ 10y −1)
· (y
18
+ 19y
17
+ ··· + 47y + 4)
c
6
, c
7
, c
11
(y
9
− 7y
8
+ 13y
7
− 2y
5
− 14y
4
− 16y
3
− 13y
2
− 6y −1)
· (y
16
− 21y
15
+ ··· − 8076y + 1849)(y
18
− 27y
17
+ ··· − 7y + 1)
c
10
(y −1)
16
(y
9
+ y
8
+ 3y
7
− 7y
6
+ 8y
5
− 12y
4
+ 7y
3
− 6y
2
+ y −1)
· (y
18
+ 70y
16
+ ··· + 262144y + 65536)
17
