12a
0003
(K12a
0003
)
A knot diagram
1
Linearized knot diagam
3 5 6 8 2 9 11 4 1 12 7 10
Solving Sequence
7,11 4,8
5 9 12 6 3 2 10 1
c
7
c
4
c
8
c
11
c
6
c
3
c
2
c
10
c
12
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−8u
91
− 7u
90
+ ··· + 2b − 8u, −8u
91
− 24u
90
+ ··· + 2a − 9, u
92
+ 3u
91
+ ··· + 3u
2
+ 1i
I
u
2
= hu
2
a + b, u
2
a − u
3
+ a
2
− au + 2u
2
+ a − 2u, u
4
− u
3
+ u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 100 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−8u
91
− 7u
90
+ · · · + 2b − 8u, −8u
91
− 24u
90
+ · · · + 2a − 9, u
92
+
3u
91
+ · · · + 3u
2
+ 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
4
=
4u
91
+ 12u
90
+ ··· + 13u
2
+
9
2
4u
91
+
7
2
u
90
+ ··· −
9
2
u
2
+ 4u
a
8
=
1
−u
2
a
5
=
4u
91
+ 12u
90
+ ··· + 13u
2
+
9
2
4u
91
+
9
2
u
90
+ ··· −
9
2
u
2
+ 4u
a
9
=
u
7
+ 2u
3
u
7
+ u
5
+ 2u
3
+ u
a
12
=
u
u
a
6
=
−u
14
− u
12
− 4u
10
− 3u
8
− 4u
6
− 2u
4
+ 1
−u
14
− 2u
12
− 5u
10
− 6u
8
− 6u
6
− 4u
4
− u
2
a
3
=
3
2
u
91
+ 6u
90
+ ··· + u + 3
3
2
u
91
+ u
90
+ ··· − 3u
2
+
5
2
u
a
2
=
−
1
2
u
91
− u
90
+ ··· −
13
2
u
3
− 2u
2
−
1
2
u
91
− 5u
89
+ ··· −
3
2
u
3
−
1
2
u
a
10
=
u
3
u
3
+ u
a
1
=
u
5
+ u
u
5
+ u
3
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes =
9
2
u
91
+ 7u
90
+ ··· + 14u −
1
2
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
92
+ 45u
91
+ ··· + 6u + 1
c
2
, c
5
u
92
+ 5u
91
+ ··· + 6u + 1
c
3
u
92
− 5u
91
+ ··· − 57066u + 15489
c
4
, c
8
u
92
− u
91
+ ··· + 896u + 256
c
6
u
92
− 3u
91
+ ··· − 10300u + 2425
c
7
, c
11
u
92
− 3u
91
+ ··· + 3u
2
+ 1
c
9
, c
10
, c
12
u
92
+ 23u
91
+ ··· + 6u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
92
+ 9y
91
+ ··· + 46y + 1
c
2
, c
5
y
92
+ 45y
91
+ ··· + 6y + 1
c
3
y
92
− 27y
91
+ ··· − 1648615266y + 239909121
c
4
, c
8
y
92
+ 45y
91
+ ··· + 1327104y + 65536
c
6
y
92
− 5y
91
+ ··· − 386124150y + 5880625
c
7
, c
11
y
92
+ 23y
91
+ ··· + 6y + 1
c
9
, c
10
, c
12
y
92
+ 95y
91
+ ··· + 46y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.693479 + 0.720110I
a = 0.620794 + 0.272394I
b = −0.270197 − 0.526769I
−2.50471 + 1.32727I 0
u = −0.693479 − 0.720110I
a = 0.620794 − 0.272394I
b = −0.270197 + 0.526769I
−2.50471 − 1.32727I 0
u = 0.137759 + 0.991033I
a = 0.96131 − 2.44396I
b = −0.226283 − 1.348390I
−7.08384 − 6.20405I 0
u = 0.137759 − 0.991033I
a = 0.96131 + 2.44396I
b = −0.226283 + 1.348390I
−7.08384 + 6.20405I 0
u = 0.198705 + 0.989118I
a = 1.00312 − 2.59715I
b = −0.30023 − 1.51641I
−8.51146 + 2.14258I 0
u = 0.198705 − 0.989118I
a = 1.00312 + 2.59715I
b = −0.30023 + 1.51641I
−8.51146 − 2.14258I 0
u = −0.323111 + 0.935504I
a = 1.045650 − 0.704782I
b = 0.190797 − 0.218407I
−2.70385 − 6.14257I 0
u = −0.323111 − 0.935504I
a = 1.045650 + 0.704782I
b = 0.190797 + 0.218407I
−2.70385 + 6.14257I 0
u = 0.156856 + 0.960463I
a = −0.88681 + 2.52095I
b = 0.338463 + 1.363710I
−4.30279 − 1.37565I 0
u = 0.156856 − 0.960463I
a = −0.88681 − 2.52095I
b = 0.338463 − 1.363710I
−4.30279 + 1.37565I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362369 + 0.977795I
a = 1.23952 − 2.65966I
b = −0.32670 − 1.89189I
−3.12348 + 7.02740I 0
u = 0.362369 − 0.977795I
a = 1.23952 + 2.65966I
b = −0.32670 + 1.89189I
−3.12348 − 7.02740I 0
u = 0.331238 + 0.895820I
a = 1.32460 − 2.96062I
b = −0.54342 − 1.96702I
−0.69918 + 4.80724I 0
u = 0.331238 − 0.895820I
a = 1.32460 + 2.96062I
b = −0.54342 + 1.96702I
−0.69918 − 4.80724I 0
u = 0.327350 + 0.992443I
a = −1.17765 + 2.68899I
b = 0.32569 + 1.83006I
−7.76770 + 3.77242I 0
u = 0.327350 − 0.992443I
a = −1.17765 − 2.68899I
b = 0.32569 − 1.83006I
−7.76770 − 3.77242I 0
u = −0.233602 + 0.910910I
a = 0.846140 − 1.033200I
b = 0.094081 − 0.372222I
−3.23122 + 1.00291I 0
u = −0.233602 − 0.910910I
a = 0.846140 + 1.033200I
b = 0.094081 + 0.372222I
−3.23122 − 1.00291I 0
u = 0.372819 + 0.996928I
a = −1.21269 + 2.62443I
b = 0.29853 + 1.89032I
−5.72377 + 12.12640I 0
u = 0.372819 − 0.996928I
a = −1.21269 − 2.62443I
b = 0.29853 − 1.89032I
−5.72377 − 12.12640I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.335045 + 0.866771I
a = −0.790918 + 0.569269I
b = −0.082338 + 0.179534I
−0.38070 − 2.07048I 0
u = −0.335045 − 0.866771I
a = −0.790918 − 0.569269I
b = −0.082338 − 0.179534I
−0.38070 + 2.07048I 0
u = 0.284068 + 0.860333I
a = −1.02927 + 3.20717I
b = 0.80719 + 1.83021I
−1.058000 − 0.279101I −6.91300 + 0.I
u = 0.284068 − 0.860333I
a = −1.02927 − 3.20717I
b = 0.80719 − 1.83021I
−1.058000 + 0.279101I −6.91300 + 0.I
u = −0.427081 + 0.798857I
a = −0.713657 + 0.121097I
b = −0.0301309 + 0.0996555I
−0.06045 − 1.88314I 0
u = −0.427081 − 0.798857I
a = −0.713657 − 0.121097I
b = −0.0301309 − 0.0996555I
−0.06045 + 1.88314I 0
u = −0.653453 + 0.885413I
a = 1.046580 + 0.507386I
b = −0.445709 + 0.180341I
−2.57991 + 1.44003I 0
u = −0.653453 − 0.885413I
a = 1.046580 − 0.507386I
b = −0.445709 − 0.180341I
−2.57991 − 1.44003I 0
u = −0.668456 + 0.553251I
a = 0.751735 + 0.111879I
b = 0.203275 − 0.551941I
−1.70083 − 6.18476I 0. + 7.03177I
u = −0.668456 − 0.553251I
a = 0.751735 − 0.111879I
b = 0.203275 + 0.551941I
−1.70083 + 6.18476I 0. − 7.03177I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.735212 + 0.893849I
a = −0.937046 − 0.931574I
b = 1.053810 − 0.287790I
0.60676 − 2.79602I 0
u = −0.735212 − 0.893849I
a = −0.937046 + 0.931574I
b = 1.053810 + 0.287790I
0.60676 + 2.79602I 0
u = 0.812449 + 0.852311I
a = 0.778077 − 0.513337I
b = 0.344350 − 0.859731I
3.10988 + 3.40561I 0
u = 0.812449 − 0.852311I
a = 0.778077 + 0.513337I
b = 0.344350 + 0.859731I
3.10988 − 3.40561I 0
u = −0.863378 + 0.806506I
a = 0.305173 − 0.349815I
b = 0.99000 + 1.67872I
−0.06562 + 2.04123I 0
u = −0.863378 − 0.806506I
a = 0.305173 + 0.349815I
b = 0.99000 − 1.67872I
−0.06562 − 2.04123I 0
u = −0.727666 + 0.941058I
a = 1.26854 + 0.94209I
b = −0.832530 + 0.747199I
−3.02486 − 6.79677I 0
u = −0.727666 − 0.941058I
a = 1.26854 − 0.94209I
b = −0.832530 − 0.747199I
−3.02486 + 6.79677I 0
u = 0.854175 + 0.832632I
a = 0.906340 − 0.293878I
b = 0.603181 − 0.774979I
4.74497 − 3.82999I 0
u = 0.854175 − 0.832632I
a = 0.906340 + 0.293878I
b = 0.603181 + 0.774979I
4.74497 + 3.82999I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.841430 + 0.856318I
a = 0.476794 − 1.094360I
b = 1.98535 + 1.56704I
5.88107 − 3.20332I 0
u = −0.841430 − 0.856318I
a = 0.476794 + 1.094360I
b = 1.98535 − 1.56704I
5.88107 + 3.20332I 0
u = −0.854533 + 0.845597I
a = −0.579807 + 0.786808I
b = −1.63230 − 1.81549I
6.71455 + 2.11791I 0
u = −0.854533 − 0.845597I
a = −0.579807 − 0.786808I
b = −1.63230 + 1.81549I
6.71455 − 2.11791I 0
u = −0.878203 + 0.822809I
a = −0.539802 + 0.321431I
b = −1.06748 − 1.95673I
4.90178 + 4.97100I 0
u = −0.878203 − 0.822809I
a = −0.539802 − 0.321431I
b = −1.06748 + 1.95673I
4.90178 − 4.97100I 0
u = 0.852963 + 0.852144I
a = −0.800671 + 0.266145I
b = −0.530329 + 0.676515I
6.97495 + 0.83818I 0
u = 0.852963 − 0.852144I
a = −0.800671 − 0.266145I
b = −0.530329 − 0.676515I
6.97495 − 0.83818I 0
u = −0.887379 + 0.818068I
a = 0.538898 − 0.204942I
b = 0.93986 + 2.00633I
2.49798 + 10.21280I 0
u = −0.887379 − 0.818068I
a = 0.538898 + 0.204942I
b = 0.93986 − 2.00633I
2.49798 − 10.21280I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.562885 + 0.546500I
a = −0.780726 − 0.216705I
b = −0.215186 + 0.354968I
0.65863 − 1.83346I 3.56478 + 4.16412I
u = −0.562885 − 0.546500I
a = −0.780726 + 0.216705I
b = −0.215186 − 0.354968I
0.65863 + 1.83346I 3.56478 − 4.16412I
u = 0.791164 + 0.932385I
a = −0.309000 + 0.907116I
b = 0.212321 + 0.879598I
2.86189 + 2.60803I 0
u = 0.791164 − 0.932385I
a = −0.309000 − 0.907116I
b = 0.212321 − 0.879598I
2.86189 − 2.60803I 0
u = 0.868970 + 0.886551I
a = −0.621192 + 0.030063I
b = −0.516416 + 0.357413I
7.82228 + 2.10226I 0
u = 0.868970 − 0.886551I
a = −0.621192 − 0.030063I
b = −0.516416 − 0.357413I
7.82228 − 2.10226I 0
u = −0.811671 + 0.940994I
a = −1.53622 − 1.73359I
b = 1.94836 − 1.80046I
5.61602 − 2.96104I 0
u = −0.811671 − 0.940994I
a = −1.53622 + 1.73359I
b = 1.94836 + 1.80046I
5.61602 + 2.96104I 0
u = −0.101784 + 0.749735I
a = −0.06658 + 1.44004I
b = 0.335460 + 0.379358I
−1.52871 − 1.62635I −6.71018 + 4.39612I
u = −0.101784 − 0.749735I
a = −0.06658 − 1.44004I
b = 0.335460 − 0.379358I
−1.52871 + 1.62635I −6.71018 − 4.39612I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.817197 + 0.949188I
a = 0.048839 − 0.862965I
b = −0.386052 − 0.727595I
6.67073 + 5.37797I 0
u = 0.817197 − 0.949188I
a = 0.048839 + 0.862965I
b = −0.386052 + 0.727595I
6.67073 − 5.37797I 0
u = −0.814785 + 0.954223I
a = 1.69477 + 1.60012I
b = −1.59575 + 2.03692I
6.37439 − 8.33082I 0
u = −0.814785 − 0.954223I
a = 1.69477 − 1.60012I
b = −1.59575 − 2.03692I
6.37439 + 8.33082I 0
u = 0.808320 + 0.961873I
a = −0.046540 + 0.995446I
b = 0.445311 + 0.827780I
4.34172 + 10.02020I 0
u = 0.808320 − 0.961873I
a = −0.046540 − 0.995446I
b = 0.445311 − 0.827780I
4.34172 − 10.02020I 0
u = 0.881563 + 0.903602I
a = 0.610721 + 0.184716I
b = 0.623658 − 0.157852I
6.33441 + 6.26253I 0
u = 0.881563 − 0.903602I
a = 0.610721 − 0.184716I
b = 0.623658 + 0.157852I
6.33441 − 6.26253I 0
u = 0.848258 + 0.937137I
a = −0.161914 − 0.585796I
b = −0.428433 − 0.409414I
7.66246 + 4.26451I 0
u = 0.848258 − 0.937137I
a = −0.161914 + 0.585796I
b = −0.428433 + 0.409414I
7.66246 − 4.26451I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.801039 + 0.979817I
a = −1.71580 − 1.32659I
b = 0.99814 − 1.85507I
−0.60469 − 8.23142I 0
u = −0.801039 − 0.979817I
a = −1.71580 + 1.32659I
b = 0.99814 + 1.85507I
−0.60469 + 8.23142I 0
u = −0.816244 + 0.979417I
a = 1.80600 + 1.38248I
b = −1.02650 + 2.12021I
4.40958 − 11.25750I 0
u = −0.816244 − 0.979417I
a = 1.80600 − 1.38248I
b = −1.02650 − 2.12021I
4.40958 + 11.25750I 0
u = 0.868306 + 0.933853I
a = 0.389282 + 0.490502I
b = 0.576752 + 0.222656I
6.23833 + 0.20732I 0
u = 0.868306 − 0.933853I
a = 0.389282 − 0.490502I
b = 0.576752 − 0.222656I
6.23833 − 0.20732I 0
u = −0.818315 + 0.986653I
a = −1.83442 − 1.34355I
b = 0.89789 − 2.14892I
1.9667 − 16.5328I 0
u = −0.818315 − 0.986653I
a = −1.83442 + 1.34355I
b = 0.89789 + 2.14892I
1.9667 + 16.5328I 0
u = 0.674010 + 0.203348I
a = 0.613340 + 0.206566I
b = 0.37126 − 1.44491I
−3.20101 − 8.37938I 0.15662 + 6.12005I
u = 0.674010 − 0.203348I
a = 0.613340 − 0.206566I
b = 0.37126 + 1.44491I
−3.20101 + 8.37938I 0.15662 − 6.12005I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.628567 + 0.200115I
a = −0.621094 − 0.343985I
b = −0.365652 + 1.365960I
−0.69747 − 3.45110I 3.26566 + 2.67965I
u = 0.628567 − 0.200115I
a = −0.621094 + 0.343985I
b = −0.365652 − 1.365960I
−0.69747 + 3.45110I 3.26566 − 2.67965I
u = 0.642317 + 0.116320I
a = 0.360274 + 0.327324I
b = 0.215439 − 1.390060I
−5.03596 − 0.37833I −2.76050 − 0.07845I
u = 0.642317 − 0.116320I
a = 0.360274 − 0.327324I
b = 0.215439 + 1.390060I
−5.03596 + 0.37833I −2.76050 + 0.07845I
u = −0.444878 + 0.339614I
a = −1.085110 − 0.365153I
b = −0.430908 + 0.198336I
1.18331 − 0.98447I 6.29127 + 3.05890I
u = −0.444878 − 0.339614I
a = −1.085110 + 0.365153I
b = −0.430908 − 0.198336I
1.18331 + 0.98447I 6.29127 − 3.05890I
u = 0.318472 + 0.447529I
a = 1.53585 + 1.38352I
b = 0.982985 − 0.758758I
0.26493 + 2.75405I 2.72287 + 0.06903I
u = 0.318472 − 0.447529I
a = 1.53585 − 1.38352I
b = 0.982985 + 0.758758I
0.26493 − 2.75405I 2.72287 − 0.06903I
u = 0.440699 + 0.296262I
a = −1.026060 − 0.907308I
b = −0.574497 + 1.035600I
1.09659 − 1.79042I 4.77815 + 4.51916I
u = 0.440699 − 0.296262I
a = −1.026060 + 0.907308I
b = −0.574497 − 1.035600I
1.09659 + 1.79042I 4.77815 − 4.51916I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.484962 + 0.157585I
a = 1.300650 + 0.177463I
b = 0.544891 − 0.124438I
−0.44498 + 3.10475I 2.64129 − 3.31218I
u = −0.484962 − 0.157585I
a = 1.300650 − 0.177463I
b = 0.544891 + 0.124438I
−0.44498 − 3.10475I 2.64129 + 3.31218I
14
II. I
u
2
= hu
2
a + b, u
2
a − u
3
+ a
2
− au + 2u
2
+ a − 2u, u
4
− u
3
+ u
2
+ 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
4
=
a
−u
2
a
a
8
=
1
−u
2
a
5
=
a
−u
2
a
a
9
=
1
−u
2
a
12
=
u
u
a
6
=
u
2
+ 1
−u
3
+ u
2
+ 1
a
3
=
−u
3
a + 2a
−u
3
a − 2u
2
a − au
a
2
=
−u
3
a + u
2
+ 2a − u + 1
−u
3
a − 2u
2
a − au + 1
a
10
=
u
3
u
3
+ u
a
1
=
−u
2
− 1
u
3
− u
2
− 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
3
a + 4u
2
a − u
3
− 2au − 2u
2
+ a + 2u − 2
15
(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
8
u
8
c
6
, c
9
, c
10
(u
4
− u
3
+ 3u
2
− 2u + 1)
2
c
7
(u
4
− u
3
+ u
2
+ 1)
2
c
11
(u
4
+ u
3
+ u
2
+ 1)
2
c
12
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
16
(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
8
y
8
c
6
, c
9
, c
10
c
12
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
c
7
, c
11
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.351808 + 0.720342I
a = −1.54112 − 0.21492I
b = −0.500000 − 0.866025I
−0.211005 + 0.614778I 2.20786 + 0.04655I
u = −0.351808 + 0.720342I
a = 0.58443 + 1.44211I
b = −0.500000 + 0.866025I
−0.21101 − 3.44499I −2.55284 + 7.82341I
u = −0.351808 − 0.720342I
a = −1.54112 + 0.21492I
b = −0.500000 + 0.866025I
−0.211005 − 0.614778I 2.20786 − 0.04655I
u = −0.351808 − 0.720342I
a = 0.58443 − 1.44211I
b = −0.500000 − 0.866025I
−0.21101 + 3.44499I −2.55284 − 7.82341I
u = 0.851808 + 0.911292I
a = −0.576953 − 0.283088I
b = −0.500000 + 0.866025I
6.79074 + 5.19385I 2.09237 − 4.44058I
u = 0.851808 + 0.911292I
a = 0.533637 − 0.358112I
b = −0.500000 − 0.866025I
6.79074 + 1.13408I 2.75261 − 0.95911I
u = 0.851808 − 0.911292I
a = −0.576953 + 0.283088I
b = −0.500000 − 0.866025I
6.79074 − 5.19385I 2.09237 + 4.44058I
u = 0.851808 − 0.911292I
a = 0.533637 + 0.358112I
b = −0.500000 + 0.866025I
6.79074 − 1.13408I 2.75261 + 0.95911I
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
4
)(u
92
+ 45u
91
+ ··· + 6u + 1)
c
2
((u
2
+ u + 1)
4
)(u
92
+ 5u
91
+ ··· + 6u + 1)
c
3
((u
2
− u + 1)
4
)(u
92
− 5u
91
+ ··· − 57066u + 15489)
c
4
, c
8
u
8
(u
92
− u
91
+ ··· + 896u + 256)
c
5
((u
2
− u + 1)
4
)(u
92
+ 5u
91
+ ··· + 6u + 1)
c
6
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
92
− 3u
91
+ ··· − 10300u + 2425)
c
7
((u
4
− u
3
+ u
2
+ 1)
2
)(u
92
− 3u
91
+ ··· + 3u
2
+ 1)
c
9
, c
10
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
92
+ 23u
91
+ ··· + 6u + 1)
c
11
((u
4
+ u
3
+ u
2
+ 1)
2
)(u
92
− 3u
91
+ ··· + 3u
2
+ 1)
c
12
((u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
)(u
92
+ 23u
91
+ ··· + 6u + 1)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
4
)(y
92
+ 9y
91
+ ··· + 46y + 1)
c
2
, c
5
((y
2
+ y + 1)
4
)(y
92
+ 45y
91
+ ··· + 6y + 1)
c
3
((y
2
+ y + 1)
4
)(y
92
− 27y
91
+ ··· − 1.64862 × 10
9
y + 2.39909 × 10
8
)
c
4
, c
8
y
8
(y
92
+ 45y
91
+ ··· + 1327104y + 65536)
c
6
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
· (y
92
− 5y
91
+ ··· − 386124150y + 5880625)
c
7
, c
11
((y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
)(y
92
+ 23y
91
+ ··· + 6y + 1)
c
9
, c
10
, c
12
((y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
)(y
92
+ 95y
91
+ ··· + 46y + 1)
20
