12a
0544
(K12a
0544
)
A knot diagram
1
Linearized knot diagam
3 7 8 10 1 2 6 11 12 5 9 4
Solving Sequence
2,7
3 1 6 8 4
5,10
11 12 9
c
2
c
1
c
6
c
7
c
3
c
5
c
10
c
12
c
9
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= hu
85
+ u
84
+ ··· + b + 1, u
85
+ u
84
+ ··· + a + 3, u
86
+ 2u
85
+ ··· + 5u + 1i
I
u
2
= h−u
7
+ u
5
− u
3
+ b − 1, −u
7
+ u
5
− u
4
− u
3
+ u
2
+ a − 2, u
8
− u
7
− u
6
+ 2u
5
+ u
4
− 2u
3
+ 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 94 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
85
+ u
84
+ · · · + b + 1, u
85
+ u
84
+ · · · + a + 3, u
86
+ 2u
85
+ · · · + 5u + 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
4
a
6
=
u
u
a
8
=
−u
3
−u
3
+ u
a
4
=
−u
8
+ u
6
− u
4
+ 1
−u
8
+ 2u
6
− 2u
4
+ 2u
2
a
5
=
−u
7
+ 2u
5
− 2u
3
+ 2u
−u
9
+ u
7
− u
5
+ u
a
10
=
−u
85
− u
84
+ ··· + 2u
2
− 3
−u
85
− u
84
+ ··· − 2u − 1
a
11
=
−u
85
+ u
84
+ ··· + 5u − 2
−3u
85
− u
84
+ ··· − 3u − 1
a
12
=
−u
20
+ 3u
18
− 7u
16
+ 10u
14
− 10u
12
+ 7u
10
− u
8
− 2u
6
+ 3u
4
− 3u
2
+ 1
−u
20
+ 4u
18
− 10u
16
+ 18u
14
− 23u
12
+ 24u
10
− 18u
8
+ 10u
6
− 5u
4
a
9
=
−u
85
+ 14u
83
+ ··· + 2u − 2
−2u
85
− u
84
+ ··· − 2u − 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −u
85
+ 2u
84
+ ··· − 17u + 9
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
86
+ 30u
85
+ ··· + 21u + 1
c
2
, c
6
u
86
− 2u
85
+ ··· − 5u + 1
c
3
, c
5
u
86
+ 2u
85
+ ··· − 165u + 25
c
4
, c
10
u
86
+ u
85
+ ··· − 128u − 256
c
8
, c
9
, c
11
u
86
+ 9u
85
+ ··· − 5u − 1
c
12
u
86
− 6u
85
+ ··· − 188531u − 19355
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
86
+ 54y
85
+ ··· − 85y + 1
c
2
, c
6
y
86
− 30y
85
+ ··· − 21y + 1
c
3
, c
5
y
86
− 54y
85
+ ··· − 56325y + 625
c
4
, c
10
y
86
− 51y
85
+ ··· − 770048y + 65536
c
8
, c
9
, c
11
y
86
− 83y
85
+ ··· + 11y + 1
c
12
y
86
+ 30y
85
+ ··· − 11372097821y + 374616025
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.644322 + 0.763022I
a = −2.49856 − 2.34077I
b = −3.39594 + 0.39825I
3.04197 − 1.23689I 0
u = −0.644322 − 0.763022I
a = −2.49856 + 2.34077I
b = −3.39594 − 0.39825I
3.04197 + 1.23689I 0
u = −0.624282 + 0.788202I
a = 1.96775 + 2.90021I
b = 3.51438 + 0.25956I
1.85559 − 6.25999I 0
u = −0.624282 − 0.788202I
a = 1.96775 − 2.90021I
b = 3.51438 − 0.25956I
1.85559 + 6.25999I 0
u = 0.635949 + 0.780261I
a = −0.000971 − 0.291356I
b = −0.226716 + 0.186045I
4.51518 + 3.88065I 0
u = 0.635949 − 0.780261I
a = −0.000971 + 0.291356I
b = −0.226716 − 0.186045I
4.51518 − 3.88065I 0
u = 0.995318 + 0.151698I
a = 0.634999 + 0.381559I
b = −0.574143 − 0.476101I
4.54238 + 0.77262I 0
u = 0.995318 − 0.151698I
a = 0.634999 − 0.381559I
b = −0.574143 + 0.476101I
4.54238 − 0.77262I 0
u = −0.621025 + 0.808585I
a = −1.54027 − 2.83739I
b = −3.25082 − 0.51666I
7.92588 − 10.43740I 0
u = −0.621025 − 0.808585I
a = −1.54027 + 2.83739I
b = −3.25082 + 0.51666I
7.92588 + 10.43740I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.939582 + 0.439354I
a = −1.69616 + 1.00521I
b = −1.15204 + 1.68969I
6.05490 + 6.47779I 0
u = −0.939582 − 0.439354I
a = −1.69616 − 1.00521I
b = −1.15204 − 1.68969I
6.05490 − 6.47779I 0
u = 0.599249 + 0.749796I
a = 0.010665 + 0.191543I
b = 0.137227 − 0.122779I
−0.86295 + 1.97413I 0
u = 0.599249 − 0.749796I
a = 0.010665 − 0.191543I
b = 0.137227 + 0.122779I
−0.86295 − 1.97413I 0
u = −0.695405 + 0.781531I
a = 1.83711 + 1.76117I
b = 2.65395 − 0.21103I
10.63500 + 1.13527I 0
u = −0.695405 − 0.781531I
a = 1.83711 − 1.76117I
b = 2.65395 + 0.21103I
10.63500 − 1.13527I 0
u = 1.055180 + 0.044844I
a = −1.173280 − 0.522379I
b = 1.214600 + 0.603818I
−2.66377 − 0.78012I 0
u = 1.055180 − 0.044844I
a = −1.173280 + 0.522379I
b = 1.214600 − 0.603818I
−2.66377 + 0.78012I 0
u = 0.753966 + 0.564465I
a = 0.414722 + 0.331891I
b = −0.125345 − 0.484331I
2.72095 − 1.94577I 0
u = 0.753966 − 0.564465I
a = 0.414722 − 0.331891I
b = −0.125345 + 0.484331I
2.72095 + 1.94577I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.818096 + 0.462766I
a = 1.80340 − 0.97079I
b = 1.02610 − 1.62875I
0.27792 + 3.52574I 0. − 7.76895I
u = −0.818096 − 0.462766I
a = 1.80340 + 0.97079I
b = 1.02610 + 1.62875I
0.27792 − 3.52574I 0. + 7.76895I
u = 0.528787 + 0.762232I
a = 0.181744 − 0.155133I
b = −0.214351 − 0.056498I
2.01778 + 1.41913I 4.35505 + 0.I
u = 0.528787 − 0.762232I
a = 0.181744 + 0.155133I
b = −0.214351 + 0.056498I
2.01778 − 1.41913I 4.35505 + 0.I
u = −1.071200 + 0.063000I
a = −0.466424 + 0.597060I
b = −0.462021 + 0.668958I
−1.40842 + 3.34085I 0
u = −1.071200 − 0.063000I
a = −0.466424 − 0.597060I
b = −0.462021 − 0.668958I
−1.40842 − 3.34085I 0
u = −0.657734 + 0.633849I
a = −2.81811 + 0.08292I
b = −1.80101 + 1.84079I
1.93628 − 0.07508I 3.12339 + 0.I
u = −0.657734 − 0.633849I
a = −2.81811 − 0.08292I
b = −1.80101 − 1.84079I
1.93628 + 0.07508I 3.12339 + 0.I
u = −1.087850 + 0.023482I
a = 0.259732 − 0.373506I
b = 0.273778 − 0.412416I
−6.48774 + 1.07685I 0
u = −1.087850 − 0.023482I
a = 0.259732 + 0.373506I
b = 0.273778 + 0.412416I
−6.48774 − 1.07685I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.087560 + 0.063752I
a = 0.953887 + 0.843497I
b = −0.983635 − 0.978166I
−4.14938 − 5.58135I 0
u = 1.087560 − 0.063752I
a = 0.953887 − 0.843497I
b = −0.983635 + 0.978166I
−4.14938 + 5.58135I 0
u = −0.856607 + 0.685840I
a = −0.434425 − 0.670558I
b = −0.832027 − 0.276459I
2.51119 + 2.64006I 0
u = −0.856607 − 0.685840I
a = −0.434425 + 0.670558I
b = −0.832027 + 0.276459I
2.51119 − 2.64006I 0
u = 1.104870 + 0.078322I
a = −0.763300 − 0.875069I
b = 0.774807 + 1.026620I
1.70607 − 9.68554I 0
u = 1.104870 − 0.078322I
a = −0.763300 + 0.875069I
b = 0.774807 − 1.026620I
1.70607 + 9.68554I 0
u = 0.846833 + 0.739427I
a = −0.104906 + 0.607186I
b = 0.537807 − 0.436615I
5.91288 − 0.28575I 0
u = 0.846833 − 0.739427I
a = −0.104906 − 0.607186I
b = 0.537807 + 0.436615I
5.91288 + 0.28575I 0
u = −1.12431
a = −0.439010
b = −0.493583
−3.61959 0
u = 0.832766 + 0.766471I
a = 0.061542 − 0.538508I
b = −0.464001 + 0.401281I
12.77860 + 3.20089I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.832766 − 0.766471I
a = 0.061542 + 0.538508I
b = −0.464001 − 0.401281I
12.77860 − 3.20089I 0
u = 0.548860 + 0.670260I
a = −0.260929 − 0.066464I
b = 0.098666 + 0.211370I
−1.368170 + 0.151851I −5.37422 + 0.I
u = 0.548860 − 0.670260I
a = −0.260929 + 0.066464I
b = 0.098666 − 0.211370I
−1.368170 − 0.151851I −5.37422 + 0.I
u = −0.862761 + 0.739667I
a = 0.81855 + 1.19919I
b = 1.59321 + 0.42916I
7.97212 + 2.80429I 0
u = −0.862761 − 0.739667I
a = 0.81855 − 1.19919I
b = 1.59321 − 0.42916I
7.97212 − 2.80429I 0
u = 0.876965 + 0.734442I
a = 0.210003 − 0.563483I
b = −0.598011 + 0.339920I
5.82164 − 5.30620I 0
u = 0.876965 − 0.734442I
a = 0.210003 + 0.563483I
b = −0.598011 − 0.339920I
5.82164 + 5.30620I 0
u = 0.985770 + 0.613915I
a = 0.297145 + 0.040593I
b = −0.267996 − 0.222437I
1.84898 − 2.73464I 0
u = 0.985770 − 0.613915I
a = 0.297145 − 0.040593I
b = −0.267996 + 0.222437I
1.84898 + 2.73464I 0
u = 0.897745 + 0.750927I
a = −0.194401 + 0.482231I
b = 0.536642 − 0.286940I
12.5809 − 8.9241I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.897745 − 0.750927I
a = −0.194401 − 0.482231I
b = 0.536642 + 0.286940I
12.5809 + 8.9241I 0
u = −1.005200 + 0.601671I
a = −2.34798 + 1.94760I
b = −1.18837 + 3.37043I
−0.907287 + 0.762860I 0
u = −1.005200 − 0.601671I
a = −2.34798 − 1.94760I
b = −1.18837 − 3.37043I
−0.907287 − 0.762860I 0
u = −1.023690 + 0.578425I
a = 2.45336 − 1.36732I
b = 1.72059 − 2.81879I
4.75158 − 3.05104I 0
u = −1.023690 − 0.578425I
a = 2.45336 + 1.36732I
b = 1.72059 + 2.81879I
4.75158 + 3.05104I 0
u = −0.992069 + 0.640336I
a = 1.49158 − 3.08313I
b = −0.49449 − 4.01379I
0.92734 + 5.11847I 0
u = −0.992069 − 0.640336I
a = 1.49158 + 3.08313I
b = −0.49449 + 4.01379I
0.92734 − 5.11847I 0
u = 1.019680 + 0.638063I
a = −0.160436 − 0.029171I
b = 0.144980 + 0.132113I
−2.68629 − 5.25864I 0
u = 1.019680 − 0.638063I
a = −0.160436 + 0.029171I
b = 0.144980 − 0.132113I
−2.68629 + 5.25864I 0
u = −0.995660 + 0.707545I
a = 0.98045 + 2.67558I
b = 2.86928 + 1.97025I
9.72668 + 4.49486I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.995660 − 0.707545I
a = 0.98045 − 2.67558I
b = 2.86928 − 1.97025I
9.72668 − 4.49486I 0
u = −1.016540 + 0.684727I
a = −1.43780 − 3.78428I
b = −4.05278 − 2.86236I
1.92833 + 6.74200I 0
u = −1.016540 − 0.684727I
a = −1.43780 + 3.78428I
b = −4.05278 + 2.86236I
1.92833 − 6.74200I 0
u = 1.028130 + 0.668591I
a = 0.0670267 − 0.1082740I
b = −0.141304 + 0.066507I
−2.12564 − 7.38364I 0
u = 1.028130 − 0.668591I
a = 0.0670267 + 0.1082740I
b = −0.141304 − 0.066507I
−2.12564 + 7.38364I 0
u = −0.365583 + 0.674667I
a = −1.78579 + 1.67124I
b = 0.47467 + 1.81579I
6.50962 + 7.73312I 3.40392 − 5.74930I
u = −0.365583 − 0.674667I
a = −1.78579 − 1.67124I
b = 0.47467 − 1.81579I
6.50962 − 7.73312I 3.40392 + 5.74930I
u = 1.049220 + 0.649176I
a = 0.067844 + 0.125985I
b = 0.010603 − 0.176229I
0.50223 − 6.76285I 0
u = 1.049220 − 0.649176I
a = 0.067844 − 0.125985I
b = 0.010603 + 0.176229I
0.50223 + 6.76285I 0
u = 1.024280 + 0.689404I
a = −0.093305 + 0.179764I
b = 0.219500 − 0.119803I
3.35241 − 9.44481I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.024280 − 0.689404I
a = −0.093305 − 0.179764I
b = 0.219500 + 0.119803I
3.35241 + 9.44481I 0
u = −1.031130 + 0.688932I
a = 2.31019 + 3.40684I
b = 4.72918 + 1.92131I
0.63817 + 11.84140I 0
u = −1.031130 − 0.688932I
a = 2.31019 − 3.40684I
b = 4.72918 − 1.92131I
0.63817 − 11.84140I 0
u = −1.039140 + 0.695413I
a = −2.44845 − 2.88748I
b = −4.55228 − 1.29781I
6.6689 + 16.0940I 0
u = −1.039140 − 0.695413I
a = −2.44845 + 2.88748I
b = −4.55228 + 1.29781I
6.6689 − 16.0940I 0
u = −0.398130 + 0.609706I
a = 2.14911 − 1.50619I
b = −0.06271 − 1.90998I
0.56072 + 3.91091I 0.13322 − 6.24601I
u = −0.398130 − 0.609706I
a = 2.14911 + 1.50619I
b = −0.06271 + 1.90998I
0.56072 − 3.91091I 0.13322 + 6.24601I
u = 0.662907 + 0.150680I
a = −0.364676 − 0.218371I
b = 0.208842 + 0.199709I
−1.063330 − 0.228988I −9.16624 + 0.72602I
u = 0.662907 − 0.150680I
a = −0.364676 + 0.218371I
b = 0.208842 − 0.199709I
−1.063330 + 0.228988I −9.16624 − 0.72602I
u = 0.361470 + 0.545503I
a = 0.619606 + 0.047322I
b = −0.198155 − 0.355103I
3.08058 − 1.78213I 2.34878 + 3.32275I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.361470 − 0.545503I
a = 0.619606 − 0.047322I
b = −0.198155 + 0.355103I
3.08058 + 1.78213I 2.34878 − 3.32275I
u = −0.166463 + 0.584238I
a = 1.56913 − 0.80481I
b = −0.208998 − 1.050720I
8.16368 − 2.95800I 6.03028 + 1.02435I
u = −0.166463 − 0.584238I
a = 1.56913 + 0.80481I
b = −0.208998 + 1.050720I
8.16368 + 2.95800I 6.03028 − 1.02435I
u = −0.272822 + 0.448177I
a = −2.14812 + 0.77001I
b = −0.240951 + 1.172810I
1.53008 − 0.42029I 4.05787 − 0.04900I
u = −0.272822 − 0.448177I
a = −2.14812 − 0.77001I
b = −0.240951 − 1.172810I
1.53008 + 0.42029I 4.05787 + 0.04900I
u = −0.296137
a = −3.40349
b = −1.00790
1.23313 11.1890
13
II. I
u
2
= h−u
7
+ u
5
− u
3
+ b − 1, −u
7
+ u
5
− u
4
− u
3
+ u
2
+ a − 2, u
8
− u
7
−
u
6
+ 2u
5
+ u
4
− 2u
3
+ 2u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
4
a
6
=
u
u
a
8
=
−u
3
−u
3
+ u
a
4
=
−u
7
+ 2u
5
− 2u
3
+ 2u
−u
7
+ u
6
+ 2u
5
− u
4
− 2u
3
+ 2u
2
+ 2u − 1
a
5
=
−u
7
+ 2u
5
− 2u
3
+ 2u
−u
7
+ u
6
+ 2u
5
− u
4
− 2u
3
+ 2u
2
+ 2u − 1
a
10
=
u
7
− u
5
+ u
4
+ u
3
− u
2
+ 2
u
7
− u
5
+ u
3
+ 1
a
11
=
u
7
− u
5
+ u
4
+ u
3
− u
2
+ 2
u
7
− u
5
+ u
3
+ 1
a
12
=
u
3
u
3
− u
a
9
=
u
7
− u
5
+ u
4
− u
2
+ 2
u
7
− u
5
+ u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −6u
7
+ u
6
+ 11u
5
− 8u
4
− 11u
3
+ 7u
2
+ 4u − 11
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
8
− 3u
7
+ 7u
6
− 10u
5
+ 11u
4
− 10u
3
+ 6u
2
− 4u + 1
c
2
u
8
− u
7
− u
6
+ 2u
5
+ u
4
− 2u
3
+ 2u − 1
c
3
, c
12
u
8
+ u
7
− 3u
6
− 2u
5
+ 3u
4
+ 2u − 1
c
4
, c
10
u
8
c
5
u
8
− u
7
− 3u
6
+ 2u
5
+ 3u
4
− 2u − 1
c
6
u
8
+ u
7
− u
6
− 2u
5
+ u
4
+ 2u
3
− 2u − 1
c
7
u
8
+ 3u
7
+ 7u
6
+ 10u
5
+ 11u
4
+ 10u
3
+ 6u
2
+ 4u + 1
c
8
, c
9
(u + 1)
8
c
11
(u − 1)
8
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
8
+ 5y
7
+ 11y
6
+ 6y
5
− 17y
4
− 34y
3
− 22y
2
− 4y + 1
c
2
, c
6
y
8
− 3y
7
+ 7y
6
− 10y
5
+ 11y
4
− 10y
3
+ 6y
2
− 4y + 1
c
3
, c
5
, c
12
y
8
− 7y
7
+ 19y
6
− 22y
5
+ 3y
4
+ 14y
3
− 6y
2
− 4y + 1
c
4
, c
10
y
8
c
8
, c
9
, c
11
(y − 1)
8
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.570868 + 0.730671I
a = 1.53392 − 0.14090I
b = 0.97862 + 1.04036I
0.604279 + 1.131230I −1.351190 − 0.172290I
u = 0.570868 − 0.730671I
a = 1.53392 + 0.14090I
b = 0.97862 − 1.04036I
0.604279 − 1.131230I −1.351190 + 0.172290I
u = −0.855237 + 0.665892I
a = −0.322641 + 0.144481I
b = 0.179726 − 0.338410I
3.80435 + 2.57849I 5.95120 − 3.90294I
u = −0.855237 − 0.665892I
a = −0.322641 − 0.144481I
b = 0.179726 + 0.338410I
3.80435 − 2.57849I 5.95120 + 3.90294I
u = −1.09818
a = 0.595007
b = −0.653425
−4.85780 −8.27570
u = 1.031810 + 0.655470I
a = −0.47742 − 1.64247I
b = 0.58399 − 2.00765I
−0.73474 − 6.44354I −3.58146 + 4.68309I
u = 1.031810 − 0.655470I
a = −0.47742 + 1.64247I
b = 0.58399 + 2.00765I
−0.73474 + 6.44354I −3.58146 − 4.68309I
u = 0.603304
a = 1.93726
b = 1.16875
0.799899 −8.76140
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
8
− 3u
7
+ 7u
6
− 10u
5
+ 11u
4
− 10u
3
+ 6u
2
− 4u + 1)
· (u
86
+ 30u
85
+ ··· + 21u + 1)
c
2
(u
8
− u
7
+ ··· + 2u − 1)(u
86
− 2u
85
+ ··· − 5u + 1)
c
3
(u
8
+ u
7
− 3u
6
− 2u
5
+ 3u
4
+ 2u − 1)(u
86
+ 2u
85
+ ··· − 165u + 25)
c
4
, c
10
u
8
(u
86
+ u
85
+ ··· − 128u − 256)
c
5
(u
8
− u
7
− 3u
6
+ 2u
5
+ 3u
4
− 2u − 1)(u
86
+ 2u
85
+ ··· − 165u + 25)
c
6
(u
8
+ u
7
+ ··· − 2u − 1)(u
86
− 2u
85
+ ··· − 5u + 1)
c
7
(u
8
+ 3u
7
+ 7u
6
+ 10u
5
+ 11u
4
+ 10u
3
+ 6u
2
+ 4u + 1)
· (u
86
+ 30u
85
+ ··· + 21u + 1)
c
8
, c
9
((u + 1)
8
)(u
86
+ 9u
85
+ ··· − 5u − 1)
c
11
((u − 1)
8
)(u
86
+ 9u
85
+ ··· − 5u − 1)
c
12
(u
8
+ u
7
− 3u
6
− 2u
5
+ 3u
4
+ 2u − 1)
· (u
86
− 6u
85
+ ··· − 188531u − 19355)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
8
+ 5y
7
+ 11y
6
+ 6y
5
− 17y
4
− 34y
3
− 22y
2
− 4y + 1)
· (y
86
+ 54y
85
+ ··· − 85y + 1)
c
2
, c
6
(y
8
− 3y
7
+ 7y
6
− 10y
5
+ 11y
4
− 10y
3
+ 6y
2
− 4y + 1)
· (y
86
− 30y
85
+ ··· − 21y + 1)
c
3
, c
5
(y
8
− 7y
7
+ 19y
6
− 22y
5
+ 3y
4
+ 14y
3
− 6y
2
− 4y + 1)
· (y
86
− 54y
85
+ ··· − 56325y + 625)
c
4
, c
10
y
8
(y
86
− 51y
85
+ ··· − 770048y + 65536)
c
8
, c
9
, c
11
((y − 1)
8
)(y
86
− 83y
85
+ ··· + 11y + 1)
c
12
(y
8
− 7y
7
+ 19y
6
− 22y
5
+ 3y
4
+ 14y
3
− 6y
2
− 4y + 1)
· (y
86
+ 30y
85
+ ··· − 11372097821y + 374616025)
19
