12n
0050
(K12n
0050
)
A knot diagram
1
Linearized knot diagam
3 5 6 10 2 11 10 12 5 7 1 8
Solving Sequence
6,11 2,7
5 3 1 10 8 4 12 9
c
6
c
5
c
2
c
1
c
10
c
7
c
4
c
12
c
8
c
3
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.86448 × 10
23
u
41
− 4.54607 × 10
23
u
40
+ ··· + 2.14051 × 10
24
b − 1.33994 × 10
24
,
1.55777 × 10
24
u
41
− 3.49226 × 10
24
u
40
+ ··· + 4.28103 × 10
24
a − 8.66921 × 10
24
, u
42
− 3u
41
+ ··· − 4u + 1i
I
u
2
= hu
2
a − au + u
2
+ b − u, 2u
3
a − 4u
2
a − 5u
3
+ 4a
2
+ 6au + 6u
2
− 2a − 13u + 15, u
4
− u
3
+ 3u
2
− 2u + 1i
I
u
3
= h−u
6
− 2u
4
− 2u
3
− u
2
+ b − 2u, −u
6
− 3u
4
− 2u
3
− 2u
2
+ a − 4u − 1,
u
15
+ 5u
13
+ 5u
12
+ 10u
11
+ 20u
10
+ 18u
9
+ 30u
8
+ 29u
7
+ 23u
6
+ 25u
5
+ 11u
4
+ 7u
3
+ 3u
2
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 65 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
= h1.86 × 10
23
u
41
− 4.55 × 10
23
u
40
+ · · · + 2.14 × 10
24
b − 1.34 × 10
24
, 1.56 ×
10
24
u
41
−3.49×10
24
u
40
+· · ·+4.28×10
24
a−8.67×10
24
, u
42
−3u
41
+· · ·−4u+1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
2
=
−0.363877u
41
+ 0.815753u
40
+ ··· − 0.334201u + 2.02503
−0.0871043u
41
+ 0.212382u
40
+ ··· − 0.482611u + 0.625989
a
7
=
1
u
2
a
5
=
−0.659564u
41
+ 1.39975u
40
+ ··· + 0.0845241u + 0.435332
−0.0702325u
41
+ 0.143960u
40
+ ··· − 0.391861u − 0.363693
a
3
=
−0.574443u
41
+ 1.03501u
40
+ ··· + 1.04901u − 0.509224
0.0313582u
41
− 0.169378u
40
+ ··· + 0.191274u − 0.637085
a
1
=
0.545703u
41
− 1.87495u
40
+ ··· + 6.14055u − 3.12407
0.0705453u
41
− 0.437164u
40
+ ··· + 2.10999u − 0.698937
a
10
=
u
u
3
+ u
a
8
=
u
2
+ 1
u
4
+ 2u
2
a
4
=
−0.605801u
41
+ 1.20439u
40
+ ··· + 0.857736u + 0.127861
0.0313582u
41
− 0.169378u
40
+ ··· + 0.191274u − 0.637085
a
12
=
0.112025u
41
− 0.738600u
40
+ ··· + 1.78402u − 2.01029
−0.179156u
41
+ 0.123997u
40
+ ··· + 1.38787u − 0.296413
a
9
=
0.711251u
41
− 1.94978u
40
+ ··· + 4.85792u − 0.210599
−0.0109483u
41
+ 0.102515u
40
+ ··· + 0.549153u + 0.291182
(ii) Obstruction class = −1
(iii) Cusp Shapes =
8819869146154630149250287
8562054330498891123064064
u
41
−
6951105346810345728611581
2140513582624722780766016
u
40
+ ··· −
9809601898657334062772699
8562054330498891123064064
u −
77878813575983057100937417
8562054330498891123064064
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
42
+ 22u
41
+ ··· + 383u + 16
c
2
, c
5
u
42
+ 2u
41
+ ··· − 3u + 4
c
3
u
42
− 2u
41
+ ··· − 23400u + 3104
c
4
, c
9
u
42
+ 2u
41
+ ··· + 3584u + 2048
c
6
, c
7
, c
10
u
42
− 3u
41
+ ··· − 4u + 1
c
8
, c
12
u
42
− 3u
41
+ ··· − 2u + 1
c
11
u
42
+ 23u
41
+ ··· + 6u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
42
− 2y
41
+ ··· + 33759y + 256
c
2
, c
5
y
42
+ 22y
41
+ ··· + 383y + 16
c
3
y
42
− 26y
41
+ ··· + 359975104y + 9634816
c
4
, c
9
y
42
− 30y
41
+ ··· − 36438016y + 4194304
c
6
, c
7
, c
10
y
42
+ 35y
41
+ ··· + 6y + 1
c
8
, c
12
y
42
+ 23y
41
+ ··· + 6y + 1
c
11
y
42
− 5y
41
+ ··· − 54y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.027970 + 0.100105I
a = 0.24960 + 1.85629I
b = −0.546190 + 1.233220I
−9.37503 − 10.09150I −8.44713 + 6.42657I
u = 1.027970 − 0.100105I
a = 0.24960 − 1.85629I
b = −0.546190 − 1.233220I
−9.37503 + 10.09150I −8.44713 − 6.42657I
u = 0.929724 + 0.138462I
a = 0.54776 + 2.00727I
b = −0.357906 + 1.293250I
−10.74190 + 0.44052I −10.40215 + 0.18999I
u = 0.929724 − 0.138462I
a = 0.54776 − 2.00727I
b = −0.357906 − 1.293250I
−10.74190 − 0.44052I −10.40215 − 0.18999I
u = 0.914941 + 0.045259I
a = −0.416878 − 0.222543I
b = −0.915244 − 0.158700I
−6.11647 − 4.80305I −6.31453 + 3.22976I
u = 0.914941 − 0.045259I
a = −0.416878 + 0.222543I
b = −0.915244 + 0.158700I
−6.11647 + 4.80305I −6.31453 − 3.22976I
u = 0.176790 + 1.089910I
a = −1.33651 − 1.33318I
b = 0.552991 − 1.072730I
1.83107 − 3.60410I 1.23384 + 2.84738I
u = 0.176790 − 1.089910I
a = −1.33651 + 1.33318I
b = 0.552991 + 1.072730I
1.83107 + 3.60410I 1.23384 − 2.84738I
u = −0.638546 + 0.536386I
a = 1.17338 − 1.37011I
b = −0.089750 − 0.808861I
−1.04750 + 2.07664I −7.01132 − 2.89392I
u = −0.638546 − 0.536386I
a = 1.17338 + 1.37011I
b = −0.089750 + 0.808861I
−1.04750 − 2.07664I −7.01132 + 2.89392I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.257246 + 1.141800I
a = −0.74697 + 1.25063I
b = 0.48378 + 1.32908I
−0.81918 + 6.49392I −4.00000 − 8.90623I
u = −0.257246 − 1.141800I
a = −0.74697 − 1.25063I
b = 0.48378 − 1.32908I
−0.81918 − 6.49392I −4.00000 + 8.90623I
u = −0.051623 + 1.181420I
a = −0.529834 − 0.226212I
b = 0.820994 + 0.618988I
3.71536 + 1.69010I 3.26218 − 1.55976I
u = −0.051623 − 1.181420I
a = −0.529834 + 0.226212I
b = 0.820994 − 0.618988I
3.71536 − 1.69010I 3.26218 + 1.55976I
u = 0.118844 + 1.181270I
a = −0.851838 − 0.430624I
b = 0.891940 − 0.979743I
2.63448 − 4.63960I 0. + 8.16254I
u = 0.118844 − 1.181270I
a = −0.851838 + 0.430624I
b = 0.891940 + 0.979743I
2.63448 + 4.63960I 0. − 8.16254I
u = −0.023170 + 1.204780I
a = −0.160324 − 0.092419I
b = 0.914501 + 0.286896I
3.99481 + 1.55693I 4.40114 − 3.96530I
u = −0.023170 − 1.204780I
a = −0.160324 + 0.092419I
b = 0.914501 − 0.286896I
3.99481 − 1.55693I 4.40114 + 3.96530I
u = 0.487771 + 1.186180I
a = −0.360345 − 1.006100I
b = −0.229714 − 1.369840I
−7.52698 − 5.48459I 0
u = 0.487771 − 1.186180I
a = −0.360345 + 1.006100I
b = −0.229714 + 1.369840I
−7.52698 + 5.48459I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.579810 + 1.160310I
a = −0.178403 + 0.945878I
b = −0.304232 + 1.178570I
−2.78929 + 1.17087I 0
u = −0.579810 − 1.160310I
a = −0.178403 − 0.945878I
b = −0.304232 − 1.178570I
−2.78929 − 1.17087I 0
u = −0.404098 + 1.316080I
a = 0.296578 − 0.436654I
b = −0.825719 + 0.274258I
1.73633 + 4.52361I 0
u = −0.404098 − 1.316080I
a = 0.296578 + 0.436654I
b = −0.825719 − 0.274258I
1.73633 − 4.52361I 0
u = 0.438573 + 1.326070I
a = 0.146351 + 0.500553I
b = −0.991101 − 0.284626I
−1.83637 − 9.65354I 0
u = 0.438573 − 1.326070I
a = 0.146351 − 0.500553I
b = −0.991101 + 0.284626I
−1.83637 + 9.65354I 0
u = 0.48276 + 1.38315I
a = 1.29723 + 1.22335I
b = −0.619520 + 1.226280I
−4.7316 − 15.4661I 0
u = 0.48276 − 1.38315I
a = 1.29723 − 1.22335I
b = −0.619520 − 1.226280I
−4.7316 + 15.4661I 0
u = −0.518309 + 0.081810I
a = 1.62251 − 2.04492I
b = 0.313840 − 1.152440I
−3.86435 − 3.51413I −10.49218 + 3.82170I
u = −0.518309 − 0.081810I
a = 1.62251 + 2.04492I
b = 0.313840 + 1.152440I
−3.86435 + 3.51413I −10.49218 − 3.82170I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.46833 + 1.40959I
a = 1.28786 − 1.10744I
b = −0.562936 − 1.175720I
−0.96374 + 9.68671I 0
u = −0.46833 − 1.40959I
a = 1.28786 + 1.10744I
b = −0.562936 + 1.175720I
−0.96374 − 9.68671I 0
u = −0.256255 + 0.421847I
a = 1.193230 + 0.520583I
b = 0.123371 + 0.236807I
−0.427988 + 1.171450I −4.97387 − 5.79413I
u = −0.256255 − 0.421847I
a = 1.193230 − 0.520583I
b = 0.123371 − 0.236807I
−0.427988 − 1.171450I −4.97387 + 5.79413I
u = −0.05066 + 1.56885I
a = 0.821923 + 0.217869I
b = −0.377724 + 0.762011I
6.69834 + 1.66397I 0
u = −0.05066 − 1.56885I
a = 0.821923 − 0.217869I
b = −0.377724 − 0.762011I
6.69834 − 1.66397I 0
u = 0.040527 + 0.421390I
a = 2.04288 + 1.54331I
b = 0.455512 + 0.708227I
−0.32690 + 1.38361I −5.63624 − 5.27111I
u = 0.040527 − 0.421390I
a = 2.04288 − 1.54331I
b = 0.455512 − 0.708227I
−0.32690 − 1.38361I −5.63624 + 5.27111I
u = −0.14166 + 1.59539I
a = 1.013790 − 0.413700I
b = −0.360591 − 0.879206I
6.34972 + 4.89959I 0
u = −0.14166 − 1.59539I
a = 1.013790 + 0.413700I
b = −0.360591 + 0.879206I
6.34972 − 4.89959I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271803 + 0.171548I
a = 2.13801 − 1.84885I
b = 0.623695 − 0.921062I
−1.06689 − 3.17946I −11.00684 + 2.84027I
u = 0.271803 − 0.171548I
a = 2.13801 + 1.84885I
b = 0.623695 + 0.921062I
−1.06689 + 3.17946I −11.00684 − 2.84027I
9
II.
I
u
2
= hu
2
a − au + u
2
+ b − u, 2u
3
a − 5u
3
+ · · · − 2a + 15, u
4
− u
3
+ 3u
2
− 2u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
2
=
a
−u
2
a + au − u
2
+ u
a
7
=
1
u
2
a
5
=
u
2
a +
1
2
u
3
− au + a +
1
2
u −
1
2
−u
2
a + au − u
2
+ u − 1
a
3
=
1
2
u
3
− u
2
+ a +
3
2
u −
3
2
−u
2
a + au − u
2
+ u − 1
a
1
=
−1
0
a
10
=
u
u
3
+ u
a
8
=
u
2
+ 1
u
3
− u
2
+ 2u − 1
a
4
=
u
2
a +
1
2
u
3
− au + a +
1
2
u −
1
2
−u
2
a + au − u
2
+ u − 1
a
12
=
−u
u
a
9
=
u
u
3
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
3
2
u
3
a + 11u
2
a +
7
2
u
3
−
15
2
au + 5u
2
+
5
2
a +
11
2
u −
7
2
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
(u
2
− u + 1)
4
c
2
(u
2
+ u + 1)
4
c
4
, c
9
u
8
c
6
, c
7
, c
11
(u
4
− u
3
+ 3u
2
− 2u + 1)
2
c
8
(u
4
− u
3
+ u
2
+ 1)
2
c
10
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
c
12
(u
4
+ u
3
+ u
2
+ 1)
2
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
(y
2
+ y + 1)
4
c
4
, c
9
y
8
c
6
, c
7
, c
10
c
11
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
c
8
, c
12
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.395123 + 0.506844I
a = 0.32193 + 1.46300I
b = 0.500000 + 0.866025I
−0.211005 + 0.614778I −3.71851 + 3.54153I
u = 0.395123 + 0.506844I
a = −0.39397 − 1.87632I
b = 0.500000 − 0.866025I
−0.21101 − 3.44499I −1.37216 + 7.25656I
u = 0.395123 − 0.506844I
a = 0.32193 − 1.46300I
b = 0.500000 − 0.866025I
−0.211005 − 0.614778I −3.71851 − 3.54153I
u = 0.395123 − 0.506844I
a = −0.39397 + 1.87632I
b = 0.500000 + 0.866025I
−0.21101 + 3.44499I −1.37216 − 7.25656I
u = 0.10488 + 1.55249I
a = −0.975620 − 0.357786I
b = 0.500000 − 0.866025I
6.79074 − 5.19385I 4.49529 + 8.13693I
u = 0.10488 + 1.55249I
a = −0.702338 + 0.200007I
b = 0.500000 + 0.866025I
6.79074 − 1.13408I −0.52961 − 5.68505I
u = 0.10488 − 1.55249I
a = −0.975620 + 0.357786I
b = 0.500000 + 0.866025I
6.79074 + 5.19385I 4.49529 − 8.13693I
u = 0.10488 − 1.55249I
a = −0.702338 − 0.200007I
b = 0.500000 − 0.866025I
6.79074 + 1.13408I −0.52961 + 5.68505I
13
III. I
u
3
= h−u
6
− 2u
4
− 2u
3
− u
2
+ b − 2u, −u
6
− 3u
4
− 2u
3
− 2u
2
+ a − 4u −
1, u
15
+ 5u
13
+ · · · − u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
2
=
u
6
+ 3u
4
+ 2u
3
+ 2u
2
+ 4u + 1
u
6
+ 2u
4
+ 2u
3
+ u
2
+ 2u
a
7
=
1
u
2
a
5
=
u
12
+ 5u
10
+ ··· + 2u + 1
u
12
+ 4u
10
+ 4u
9
+ 6u
8
+ 12u
7
+ 8u
6
+ 12u
5
+ 9u
4
+ 4u
3
+ 4u
2
a
3
=
u
13
+ 4u
11
+ ··· + 6u
2
+ 5u
−u
12
− 4u
10
− 3u
9
− 6u
8
− 9u
7
− 5u
6
− 9u
5
− 3u
4
− u
3
− u
2
+ 2u − 1
a
1
=
u
u
3
+ u
a
10
=
u
u
3
+ u
a
8
=
u
2
+ 1
u
4
+ 2u
2
a
4
=
u
13
+ u
12
+ ··· + 3u + 1
−u
12
− 4u
10
− 3u
9
− 6u
8
− 9u
7
− 5u
6
− 9u
5
− 3u
4
− u
3
− u
2
+ 2u − 1
a
12
=
−u
3
−u
5
− u
3
+ u
a
9
=
u
4
+ u
2
+ 1
u
6
+ 2u
4
+ u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
9
− 12u
7
− 12u
6
− 12u
5
− 24u
4
− 12u
3
− 12u
2
− 8u − 2
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
3
c
2
, c
5
(u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
3
c
3
, c
4
, c
9
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
3
c
6
, c
7
, c
8
c
10
, c
12
u
15
+ 5u
13
+ ··· − u + 1
c
11
u
15
+ 10u
14
+ ··· − 5u − 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)
3
c
2
, c
5
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
3
c
3
, c
4
, c
9
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)
3
c
6
, c
7
, c
8
c
10
, c
12
y
15
+ 10y
14
+ ··· − 5y −1
c
11
y
15
− 10y
14
+ ··· − 65y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.009180 + 0.154259I
a = 0.41296 − 1.82234I
b = −0.455697 − 1.200150I
−5.87256 + 4.40083I −6.74431 − 3.49859I
u = −1.009180 − 0.154259I
a = 0.41296 + 1.82234I
b = −0.455697 + 1.200150I
−5.87256 − 4.40083I −6.74431 + 3.49859I
u = −0.191814 + 0.839165I
a = 0.62987 + 2.60849I
b = 0.339110 + 0.822375I
−0.32910 + 1.53058I −2.51511 − 4.43065I
u = −0.191814 − 0.839165I
a = 0.62987 − 2.60849I
b = 0.339110 − 0.822375I
−0.32910 − 1.53058I −2.51511 + 4.43065I
u = −0.855893
a = −0.209424
b = −0.766826
−2.40108 −3.48110
u = −0.070375 + 1.145600I
a = 1.57432 + 1.72920I
b = 0.339110 − 0.822375I
−0.32910 − 1.53058I −2.51511 + 4.43065I
u = −0.070375 − 1.145600I
a = 1.57432 − 1.72920I
b = 0.339110 + 0.822375I
−0.32910 + 1.53058I −2.51511 − 4.43065I
u = 0.427947 + 1.244760I
a = 0.454474 + 0.643686I
b = −0.766826
−2.40108 −3.48114 + 0.I
u = 0.427947 − 1.244760I
a = 0.454474 − 0.643686I
b = −0.766826
−2.40108 −3.48114 + 0.I
u = 0.592752 + 1.247160I
a = −0.210506 − 0.787763I
b = −0.455697 − 1.200150I
−5.87256 + 4.40083I −6.74431 − 3.49859I
17
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.592752 − 1.247160I
a = −0.210506 + 0.787763I
b = −0.455697 + 1.200150I
−5.87256 − 4.40083I −6.74431 + 3.49859I
u = 0.41642 + 1.40142I
a = 1.43045 + 0.99035I
b = −0.455697 + 1.200150I
−5.87256 − 4.40083I −6.74431 + 3.49859I
u = 0.41642 − 1.40142I
a = 1.43045 − 0.99035I
b = −0.455697 − 1.200150I
−5.87256 + 4.40083I −6.74431 − 3.49859I
u = 0.262189 + 0.306431I
a = 1.81314 + 1.58784I
b = 0.339110 + 0.822375I
−0.32910 + 1.53058I −2.51511 − 4.43065I
u = 0.262189 − 0.306431I
a = 1.81314 − 1.58784I
b = 0.339110 − 0.822375I
−0.32910 − 1.53058I −2.51511 + 4.43065I
18
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)
4
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
3
· (u
42
+ 22u
41
+ ··· + 383u + 16)
c
2
((u
2
+ u + 1)
4
)(u
5
+ u
4
+ ··· + u + 1)
3
(u
42
+ 2u
41
+ ··· − 3u + 4)
c
3
(u
2
− u + 1)
4
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
3
· (u
42
− 2u
41
+ ··· − 23400u + 3104)
c
4
, c
9
u
8
(u
5
− u
4
+ ··· + u + 1)
3
(u
42
+ 2u
41
+ ··· + 3584u + 2048)
c
5
((u
2
− u + 1)
4
)(u
5
+ u
4
+ ··· + u + 1)
3
(u
42
+ 2u
41
+ ··· − 3u + 4)
c
6
, c
7
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
15
+ 5u
13
+ ··· − u + 1)
· (u
42
− 3u
41
+ ··· − 4u + 1)
c
8
((u
4
− u
3
+ u
2
+ 1)
2
)(u
15
+ 5u
13
+ ··· − u + 1)(u
42
− 3u
41
+ ··· − 2u + 1)
c
10
((u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
)(u
15
+ 5u
13
+ ··· − u + 1)
· (u
42
− 3u
41
+ ··· − 4u + 1)
c
11
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
15
+ 10u
14
+ ··· − 5u − 1)
· (u
42
+ 23u
41
+ ··· + 6u + 1)
c
12
((u
4
+ u
3
+ u
2
+ 1)
2
)(u
15
+ 5u
13
+ ··· − u + 1)(u
42
− 3u
41
+ ··· − 2u + 1)
19
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)
4
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)
3
· (y
42
− 2y
41
+ ··· + 33759y + 256)
c
2
, c
5
(y
2
+ y + 1)
4
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
3
· (y
42
+ 22y
41
+ ··· + 383y + 16)
c
3
(y
2
+ y + 1)
4
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)
3
· (y
42
− 26y
41
+ ··· + 359975104y + 9634816)
c
4
, c
9
y
8
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)
3
· (y
42
− 30y
41
+ ··· − 36438016y + 4194304)
c
6
, c
7
, c
10
((y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
)(y
15
+ 10y
14
+ ··· − 5y −1)
· (y
42
+ 35y
41
+ ··· + 6y + 1)
c
8
, c
12
((y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
)(y
15
+ 10y
14
+ ··· − 5y −1)
· (y
42
+ 23y
41
+ ··· + 6y + 1)
c
11
((y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
)(y
15
− 10y
14
+ ··· − 65y −1)
· (y
42
− 5y
41
+ ··· − 54y + 1)
20
