11n
153
(K11n
153
)
A knot diagram
1
Linearized knot diagam
10 8 1 2 9 3 1 5 6 4 8
Solving Sequence
1,4 3,8
2 5 7 6 11 10 9
c
3
c
2
c
4
c
7
c
6
c
11
c
10
c
9
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−969784110565u
17
+ 7522067922888u
16
+ ··· + 3213286025447b − 9008416143977,
9008416143977u
17
− 73317472411273u
16
+ ··· + 25706288203576a − 26276930799793,
u
18
− 9u
17
+ ··· − 33u − 8i
I
u
2
= h−u
2
+ b − u, a − u − 1, u
5
+ 3u
4
+ 3u
3
+ 2u
2
+ u + 1i
I
u
3
= h−u
8
− 7u
7
− 17u
6
− 12u
5
+ 13u
4
+ 16u
3
− au − 10u
2
+ b − 10u + 5, 15u
8
a + 8u
8
+ ··· − 75a − 70,
u
9
+ 7u
8
+ 16u
7
+ 7u
6
− 19u
5
− 11u
4
+ 20u
3
+ 6u
2
− 11u + 3i
I
u
4
= hu
2
+ b + 2u + 1, −u
2
+ a − 2u, u
3
+ 3u
2
+ 2u + 1i
* 4 irreducible components of dim
C
= 0, with total 44 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−9.70 × 10
11
u
17
+ 7.52 × 10
12
u
16
+ · · · + 3.21 × 10
12
b − 9.01 ×
10
12
, 9.01 × 10
12
u
17
− 7.33 × 10
13
u
16
+ · · · + 2.57 × 10
13
a − 2.63 ×
10
13
, u
18
− 9u
17
+ · · · − 33u − 8i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
−0.350436u
17
+ 2.85212u
16
+ ··· − 14.9807u + 1.02220
0.301804u
17
− 2.34093u
16
+ ··· + 10.5422u + 2.80349
a
2
=
0.0586285u
17
− 0.559036u
16
+ ··· + 4.76685u − 1.68018
0.0313795u
17
− 0.210283u
16
+ ··· + 0.745441u − 0.469028
a
5
=
0.0993811u
17
− 0.841718u
16
+ ··· + 4.58790u + 0.0398829
0.0313795u
17
− 0.210283u
16
+ ··· − 0.254559u − 0.469028
a
7
=
−0.350436u
17
+ 2.85212u
16
+ ··· − 14.9807u + 1.02220
0.677118u
17
− 5.29868u
16
+ ··· + 23.3052u + 5.21793
a
6
=
−0.0486318u
17
+ 0.511195u
16
+ ··· − 4.43851u + 3.82569
0.257046u
17
− 1.94618u
16
+ ··· + 8.50546u + 2.21542
a
11
=
0.291572u
17
− 2.39120u
16
+ ··· + 14.0411u − 0.347607
−0.232943u
17
+ 1.83217u
16
+ ··· − 8.27426u − 2.33257
a
10
=
0.0586285u
17
− 0.559036u
16
+ ··· + 5.76685u − 2.68018
−0.232943u
17
+ 1.83217u
16
+ ··· − 8.27426u − 2.33257
a
9
=
−0.00591672u
17
+ 0.133324u
16
+ ··· − 1.44739u + 2.47523
−0.0460630u
17
+ 0.308887u
16
+ ··· + 0.724360u + 0.154459
a
9
=
−0.00591672u
17
+ 0.133324u
16
+ ··· − 1.44739u + 2.47523
−0.0460630u
17
+ 0.308887u
16
+ ··· + 0.724360u + 0.154459
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
3008625095462
3213286025447
u
17
−
22676683370184
3213286025447
u
16
+ ··· +
74739485745112
3213286025447
u +
16280782342958
3213286025447
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
18
+ 2u
17
+ ··· − 2u + 1
c
2
u
18
− 2u
16
+ ··· − 5u − 1
c
3
u
18
− 9u
17
+ ··· − 33u − 8
c
5
, c
8
, c
9
u
18
− 6u
17
+ ··· + 3u + 2
c
6
, c
7
, c
11
u
18
− 13u
16
+ ··· − u + 1
c
10
u
18
+ 17u
17
+ ··· + 4352u + 512
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
18
+ 2y
17
+ ··· − 2y + 1
c
2
y
18
− 4y
17
+ ··· − 35y + 1
c
3
y
18
− 13y
17
+ ··· − 2017y + 64
c
5
, c
8
, c
9
y
18
− 18y
17
+ ··· + 35y + 4
c
6
, c
7
, c
11
y
18
− 26y
17
+ ··· − 7y + 1
c
10
y
18
− y
17
+ ··· + 458752y + 262144
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.843032 + 0.524058I
a = −0.586941 + 1.246720I
b = 1.148160 − 0.743433I
2.18663 − 2.73072I 12.5447 + 6.6202I
u = 0.843032 − 0.524058I
a = −0.586941 − 1.246720I
b = 1.148160 + 0.743433I
2.18663 + 2.73072I 12.5447 − 6.6202I
u = 1.09266
a = −1.66916
b = 1.82383
2.25932 7.45690
u = −0.926749 + 0.681554I
a = 0.358863 − 0.335448I
b = 0.103949 − 0.555460I
3.08255 + 2.45502I 4.56614 − 2.39715I
u = −0.926749 − 0.681554I
a = 0.358863 + 0.335448I
b = 0.103949 + 0.555460I
3.08255 − 2.45502I 4.56614 + 2.39715I
u = −0.439225 + 1.123520I
a = −0.064923 + 0.354238I
b = 0.369476 + 0.228533I
0.29930 + 2.83434I −6.26246 − 4.02020I
u = −0.439225 − 1.123520I
a = −0.064923 − 0.354238I
b = 0.369476 − 0.228533I
0.29930 − 2.83434I −6.26246 + 4.02020I
u = −0.305459 + 0.432561I
a = −0.854284 − 0.273373I
b = −0.379199 + 0.286025I
−0.589102 + 1.103260I −3.61302 − 5.14507I
u = −0.305459 − 0.432561I
a = −0.854284 + 0.273373I
b = −0.379199 − 0.286025I
−0.589102 − 1.103260I −3.61302 + 5.14507I
u = 1.56461 + 0.17007I
a = 1.212670 + 0.097343I
b = −1.88079 − 0.35855I
−6.68818 − 3.40005I −2.59654 + 3.50270I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56461 − 0.17007I
a = 1.212670 − 0.097343I
b = −1.88079 + 0.35855I
−6.68818 + 3.40005I −2.59654 − 3.50270I
u = −0.32355 + 1.54849I
a = 0.154189 − 0.448176I
b = −0.644108 − 0.383768I
5.90785 + 4.79162I 2.11811 − 3.69242I
u = −0.32355 − 1.54849I
a = 0.154189 + 0.448176I
b = −0.644108 + 0.383768I
5.90785 − 4.79162I 2.11811 + 3.69242I
u = 1.77246 + 0.37808I
a = −1.060540 + 0.004179I
b = 1.88134 + 0.39356I
−7.47923 − 8.86125I −3.00235 + 6.30100I
u = 1.77246 − 0.37808I
a = −1.060540 − 0.004179I
b = 1.88134 − 0.39356I
−7.47923 + 8.86125I −3.00235 − 6.30100I
u = −0.177652
a = 4.24705
b = 0.754498
3.37072 0.911940
u = 1.85738 + 0.59535I
a = 0.989524 − 0.084101I
b = −1.88799 − 0.43291I
−1.17978 − 13.07450I 0.56098 + 6.39967I
u = 1.85738 − 0.59535I
a = 0.989524 + 0.084101I
b = −1.88799 + 0.43291I
−1.17978 + 13.07450I 0.56098 − 6.39967I
6
II. I
u
2
= h−u
2
+ b − u, a − u − 1, u
5
+ 3u
4
+ 3u
3
+ 2u
2
+ u + 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
u + 1
u
2
+ u
a
2
=
−u
4
− 3u
3
− 3u
2
− u + 1
u + 1
a
5
=
u
4
+ 3u
3
+ 2u
2
− u − 1
−u
2
− 2u − 1
a
7
=
u + 1
−u
3
+ u
a
6
=
u
2
+ 2u + 1
−u
4
− 2u
3
+ u
a
11
=
u
3
+ 2u
2
+ u
u
4
+ 2u
3
+ u
2
+ u
a
10
=
u
4
+ 3u
3
+ 3u
2
+ 2u
u
4
+ 2u
3
+ u
2
+ u
a
9
=
u
4
+ 2u
3
− u − 2
−u
3
− 2u
2
− 2u − 2
a
9
=
u
4
+ 2u
3
− u − 2
−u
3
− 2u
2
− 2u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −7u
4
− 19u
3
− 16u
2
− 8u − 2
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
5
− 2u
4
+ u
3
+ u
2
− u + 1
c
2
u
5
+ 3u
4
+ 4u
3
+ 3u
2
+ u + 1
c
3
u
5
+ 3u
4
+ 3u
3
+ 2u
2
+ u + 1
c
5
u
5
− u
4
− 3u
3
+ 2u
2
+ 3u − 1
c
6
, c
11
u
5
− u
3
+ 2u
2
− 2u + 1
c
7
u
5
− u
3
− 2u
2
− 2u − 1
c
8
, c
9
u
5
+ u
4
− 3u
3
− 2u
2
+ 3u + 1
c
10
u
5
− u
4
+ u
3
+ u
2
− 2u + 1
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
5
− 2y
4
+ 3y
3
+ y
2
− y −1
c
2
y
5
− y
4
− 7y
2
− 5y −1
c
3
y
5
− 3y
4
− y
3
− 4y
2
− 3y −1
c
5
, c
8
, c
9
y
5
− 7y
4
+ 19y
3
− 24y
2
+ 13y −1
c
6
, c
7
, c
11
y
5
− 2y
4
− 3y
3
− 1
c
10
y
5
+ y
4
− y
3
− 3y
2
+ 2y −1
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.761946 + 0.720973I
a = 0.238054 + 0.720973I
b = −0.701186 − 0.377712I
1.60363 + 2.70217I −2.62337 − 3.99219I
u = −0.761946 − 0.720973I
a = 0.238054 − 0.720973I
b = −0.701186 + 0.377712I
1.60363 − 2.70217I −2.62337 + 3.99219I
u = 0.216341 + 0.655213I
a = 1.216340 + 0.655213I
b = −0.166160 + 0.938713I
8.18698 + 5.82350I 7.02930 − 4.66310I
u = 0.216341 − 0.655213I
a = 1.216340 − 0.655213I
b = −0.166160 − 0.938713I
8.18698 − 5.82350I 7.02930 + 4.66310I
u = −1.90879
a = −0.908791
b = 1.73469
−6.42175 −5.81190
10
III.
I
u
3
= h−u
8
−7u
7
+· · ·+b+5, 15u
8
a+8u
8
+· · ·−75a−70, u
9
+7u
8
+· · ·−11u+3i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
a
u
8
+ 7u
7
+ 17u
6
+ 12u
5
− 13u
4
− 16u
3
+ au + 10u
2
+ 10u − 5
a
2
=
u
7
a +
1
3
u
8
+ ··· − 3a −
8
3
−u
7
a − 5u
6
a − 6u
5
a + 5u
4
a + 10u
3
a − 4u
2
a − 6au + 3a + u + 1
a
5
=
−
1
3
u
8
−
7
3
u
7
+ ··· − a +
8
3
u
8
a + 5u
7
a + ··· − 3u + 1
a
7
=
a
u
8
+ 7u
7
+ 17u
6
+ 12u
5
− 13u
4
− u
2
a − 16u
3
+ au + 10u
2
+ 10u − 5
a
6
=
u
8
+ 7u
7
+ 17u
6
+ 12u
5
− 13u
4
− 16u
3
+ au + 10u
2
+ a + 10u − 5
2u
7
+ 11u
6
+ 17u
5
− u
3
a − 3u
4
− u
2
a − 20u
3
+ au + 4u
2
+ 13u − 5
a
11
=
−u
8
a −
1
3
u
8
+ ··· + 5a +
8
3
1
a
10
=
−u
8
a −
1
3
u
8
+ ··· + 5a +
11
3
1
a
9
=
−
1
3
u
8
−
7
3
u
7
+ ··· + 3a +
5
3
u
5
a + 3u
4
a − u
5
+ u
3
a − 3u
4
− 2u
2
a + au + 5u
2
+ u − 1
a
9
=
−
1
3
u
8
−
7
3
u
7
+ ··· + 3a +
5
3
u
5
a + 3u
4
a − u
5
+ u
3
a − 3u
4
− 2u
2
a + au + 5u
2
+ u − 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
8
− 24u
7
− 44u
6
− 8u
5
+ 40u
4
− 4u
3
− 36u
2
+ 8u − 2
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
18
+ 7u
17
+ ··· + 18u + 1
c
2
u
18
− u
17
+ ··· − 80u − 47
c
3
(u
9
+ 7u
8
+ 16u
7
+ 7u
6
− 19u
5
− 11u
4
+ 20u
3
+ 6u
2
− 11u + 3)
2
c
5
, c
8
, c
9
(u
9
+ u
8
− 4u
7
− 3u
6
+ 5u
5
+ u
4
− 2u
3
+ 2u
2
+ u + 1)
2
c
6
, c
7
, c
11
u
18
− u
17
+ ··· − 70u − 19
c
10
(u − 1)
18
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
18
− 5y
17
+ ··· − 156y + 1
c
2
y
18
− 9y
17
+ ··· − 34788y + 2209
c
3
(y
9
− 17y
8
+ ··· + 85y −9)
2
c
5
, c
8
, c
9
(y
9
− 9y
8
+ 32y
7
− 55y
6
+ 45y
5
− 19y
4
+ 16y
3
− 10y
2
− 3y −1)
2
c
6
, c
7
, c
11
y
18
− 21y
17
+ ··· − 3456y + 361
c
10
(y −1)
18
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.654621 + 0.397677I
a = 0.440463 − 0.049244I
b = 0.42962 − 1.49091I
6.88147 + 5.50049I −0.51063 − 2.97298I
u = 0.654621 + 0.397677I
a = 0.53124 + 1.95480I
b = −0.307920 − 0.142926I
6.88147 + 5.50049I −0.51063 − 2.97298I
u = 0.654621 − 0.397677I
a = 0.440463 + 0.049244I
b = 0.42962 + 1.49091I
6.88147 − 5.50049I −0.51063 + 2.97298I
u = 0.654621 − 0.397677I
a = 0.53124 − 1.95480I
b = −0.307920 + 0.142926I
6.88147 − 5.50049I −0.51063 + 2.97298I
u = 0.429712 + 0.174291I
a = −0.891018 − 0.617423I
b = −0.331141 + 1.139140I
0.48389 + 2.21388I −3.75885 − 3.04598I
u = 0.429712 + 0.174291I
a = −0.26158 − 2.54485I
b = 0.275270 + 0.420610I
0.48389 + 2.21388I −3.75885 − 3.04598I
u = 0.429712 − 0.174291I
a = −0.891018 + 0.617423I
b = −0.331141 − 1.139140I
0.48389 − 2.21388I −3.75885 + 3.04598I
u = 0.429712 − 0.174291I
a = −0.26158 + 2.54485I
b = 0.275270 − 0.420610I
0.48389 − 2.21388I −3.75885 + 3.04598I
u = −1.56322 + 0.67610I
a = 1.125690 + 0.064721I
b = −1.374430 − 0.128030I
−1.41694 + 3.41073I −2.11762 − 4.39642I
u = −1.56322 + 0.67610I
a = −0.710837 − 0.389342I
b = 1.80346 − 0.65991I
−1.41694 + 3.41073I −2.11762 − 4.39642I
14
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56322 − 0.67610I
a = 1.125690 − 0.064721I
b = −1.374430 + 0.128030I
−1.41694 − 3.41073I −2.11762 + 4.39642I
u = −1.56322 − 0.67610I
a = −0.710837 + 0.389342I
b = 1.80346 + 0.65991I
−1.41694 − 3.41073I −2.11762 + 4.39642I
u = −1.84670 + 0.28282I
a = −0.993459 + 0.036806I
b = 1.53404 + 0.13840I
−6.54435 + 1.10969I −7.44626 − 6.23947I
u = −1.84670 + 0.28282I
a = 0.800440 + 0.197532I
b = −1.82421 + 0.34894I
−6.54435 + 1.10969I −7.44626 − 6.23947I
u = −1.84670 − 0.28282I
a = −0.993459 − 0.036806I
b = 1.53404 − 0.13840I
−6.54435 − 1.10969I −7.44626 + 6.23947I
u = −1.84670 − 0.28282I
a = 0.800440 − 0.197532I
b = −1.82421 − 0.34894I
−6.54435 − 1.10969I −7.44626 + 6.23947I
u = −2.34883
a = 0.914908
b = −1.55835
−3.74294 −6.33330
u = −2.34883
a = −0.663457
b = 2.14896
−3.74294 −6.33330
15
IV. I
u
4
= hu
2
+ b + 2u + 1, −u
2
+ a − 2u, u
3
+ 3u
2
+ 2u + 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
u
2
+ 2u
−u
2
− 2u − 1
a
2
=
−u
2
− 2u
u + 1
a
5
=
0
−u
2
− 2u − 1
a
7
=
u
2
+ 2u
−2u
2
− 3u − 2
a
6
=
−1
−2u − 1
a
11
=
u + 1
u
2
+ 2u
a
10
=
u
2
+ 3u + 1
u
2
+ 2u
a
9
=
u
2
+ 2u
−u
2
− u − 1
a
9
=
u
2
+ 2u
−u
2
− u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −6u
2
− 17u − 3
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
8
c
9
u
3
− u + 1
c
2
u
3
− 3u
2
+ 2u − 1
c
3
u
3
+ 3u
2
+ 2u + 1
c
5
u
3
− u − 1
c
6
, c
11
u
3
− 2u
2
+ u − 1
c
7
u
3
+ 2u
2
+ u + 1
c
10
u
3
− u
2
+ 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
y
3
− 2y
2
+ y −1
c
2
, c
3
y
3
− 5y
2
− 2y −1
c
6
, c
7
, c
11
y
3
− 2y
2
− 3y −1
c
10
y
3
− y
2
+ 2y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.337641 + 0.562280I
a = −0.877439 + 0.744862I
b = −0.122561 − 0.744862I
1.37919 + 2.82812I 3.95284 − 7.28057I
u = −0.337641 − 0.562280I
a = −0.877439 − 0.744862I
b = −0.122561 + 0.744862I
1.37919 − 2.82812I 3.95284 + 7.28057I
u = −2.32472
a = 0.754878
b = −1.75488
−2.75839 4.09430
19
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
4
(u
3
− u + 1)(u
5
− 2u
4
+ ··· − u + 1)(u
18
+ 2u
17
+ ··· − 2u + 1)
· (u
18
+ 7u
17
+ ··· + 18u + 1)
c
2
(u
3
− 3u
2
+ 2u − 1)(u
5
+ 3u
4
+ 4u
3
+ 3u
2
+ u + 1)
· (u
18
− 2u
16
+ ··· − 5u − 1)(u
18
− u
17
+ ··· − 80u − 47)
c
3
(u
3
+ 3u
2
+ 2u + 1)(u
5
+ 3u
4
+ 3u
3
+ 2u
2
+ u + 1)
· (u
9
+ 7u
8
+ 16u
7
+ 7u
6
− 19u
5
− 11u
4
+ 20u
3
+ 6u
2
− 11u + 3)
2
· (u
18
− 9u
17
+ ··· − 33u − 8)
c
5
(u
3
− u − 1)(u
5
− u
4
− 3u
3
+ 2u
2
+ 3u − 1)
· (u
9
+ u
8
− 4u
7
− 3u
6
+ 5u
5
+ u
4
− 2u
3
+ 2u
2
+ u + 1)
2
· (u
18
− 6u
17
+ ··· + 3u + 2)
c
6
, c
11
(u
3
− 2u
2
+ u − 1)(u
5
− u
3
+ 2u
2
− 2u + 1)(u
18
− 13u
16
+ ··· − u + 1)
· (u
18
− u
17
+ ··· − 70u − 19)
c
7
(u
3
+ 2u
2
+ u + 1)(u
5
− u
3
− 2u
2
− 2u − 1)(u
18
− 13u
16
+ ··· − u + 1)
· (u
18
− u
17
+ ··· − 70u − 19)
c
8
, c
9
(u
3
− u + 1)(u
5
+ u
4
− 3u
3
− 2u
2
+ 3u + 1)
· (u
9
+ u
8
− 4u
7
− 3u
6
+ 5u
5
+ u
4
− 2u
3
+ 2u
2
+ u + 1)
2
· (u
18
− 6u
17
+ ··· + 3u + 2)
c
10
(u − 1)
18
(u
3
− u
2
+ 1)(u
5
− u
4
+ u
3
+ u
2
− 2u + 1)
· (u
18
+ 17u
17
+ ··· + 4352u + 512)
20
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
3
− 2y
2
+ y −1)(y
5
− 2y
4
+ 3y
3
+ y
2
− y −1)
· (y
18
− 5y
17
+ ··· − 156y + 1)(y
18
+ 2y
17
+ ··· − 2y + 1)
c
2
(y
3
− 5y
2
− 2y −1)(y
5
− y
4
− 7y
2
− 5y −1)
· (y
18
− 9y
17
+ ··· − 34788y + 2209)(y
18
− 4y
17
+ ··· − 35y + 1)
c
3
(y
3
− 5y
2
− 2y −1)(y
5
− 3y
4
− y
3
− 4y
2
− 3y −1)
· ((y
9
− 17y
8
+ ··· + 85y −9)
2
)(y
18
− 13y
17
+ ··· − 2017y + 64)
c
5
, c
8
, c
9
(y
3
− 2y
2
+ y −1)(y
5
− 7y
4
+ 19y
3
− 24y
2
+ 13y −1)
· (y
9
− 9y
8
+ 32y
7
− 55y
6
+ 45y
5
− 19y
4
+ 16y
3
− 10y
2
− 3y −1)
2
· (y
18
− 18y
17
+ ··· + 35y + 4)
c
6
, c
7
, c
11
(y
3
− 2y
2
− 3y −1)(y
5
− 2y
4
− 3y
3
− 1)(y
18
− 26y
17
+ ··· − 7y + 1)
· (y
18
− 21y
17
+ ··· − 3456y + 361)
c
10
(y −1)
18
(y
3
− y
2
+ 2y −1)(y
5
+ y
4
− y
3
− 3y
2
+ 2y −1)
· (y
18
− y
17
+ ··· + 458752y + 262144)
21
