11a
112
(K11a
112
)
1
Arc Sequences
6 1 8 11 2 10 3 4 5 7 9
Solving Sequence
3,8 4,11
5 9 1 2 7 10 6
c
3
c
4
c
8
c
11
c
2
c
7
c
10
c
6
c
1
, c
5
, c
9
Representation Ideals
I =
3
\
i=1
I
u
i
I
u
1
= hu
10
2u
8
u
6
+ u
5
+ 2u
4
u
3
+ u
2
u + 1, a, b ui
I
u
2
= hu
14
7u
12
+ u
11
+ 18u
10
6u
9
17u
8
+ 13u
7
4u
6
12u
5
+ 15u
4
+ 4u
3
6u
2
+ 1,
u
13
4u
11
+ u
10
+ 2u
9
3u
8
+ 10u
7
8u
5
+ 5u
4
7u
3
2u
2
+ b + 2u,
u
13
5u
11
+ u
10
+ 8u
9
4u
8
2u
7
+ 5u
6
3u
5
3u
4
+ 2u
3
+ 2u
2
+ a 4ui
I
u
3
= hu
66
+ u
65
+ ··· + 56u + 11,
5.92126 × 10
66
u
65
+ 2.74431 × 10
65
u
64
+ ··· + 7.48530 × 10
66
b 1.29394 × 10
68
,
8.14644 × 10
66
u
65
1.34836 × 10
66
u
64
+ ··· + 4.84343 × 10
66
a + 8.34110 × 10
67
i
There are 3 irreducible components with 90 representations.
1
The knot diagram image is adapter from “C. Livingston and A. H. Moore, KnotInfo: Table of Knot
Invariants, http://www.indiana.edu/ knotinfo”
1
I. I
u
1
= hu
10
2u
8
u
6
+ u
5
+ 2u
4
u
3
+ u
2
u + 1, a, b ui
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
4
=
1
u
2
a
11
=
0
u
a
5
=
1
0
a
9
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
2
=
u
8
+ u
6
+ u
4
+ 1
u
5
u
3
u + 1
a
7
=
u
u
a
10
=
u
3
u
3
+ u
a
6
=
u
5
+ u
u
5
+ u
3
+ u
a
6
=
u
5
+ u
u
5
+ u
3
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
2
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 1.348162 0.087176I
a = 0
b = 1.348162 0.087176I
2.02988I 3.46410I
u = 1.348162 + 0.087176I
a = 0
b = 1.348162 + 0.087176I
2.02988I 3.46410I
u = 0.360172 0.746457I
a = 0
b = 0.360172 0.746457I
2.02988I 3.46410I
u = 0.360172 + 0.746457I
a = 0
b = 0.360172 + 0.746457I
2.02988I 3.46410I
u = 0.074596 0.990776I
a = 0
b = 0.074596 0.990776I
2.02988I 3.46410I
u = 0.074596 + 0.990776I
a = 0
b = 0.074596 + 0.990776I
2.02988I 3.46410I
u = 0.538152 0.474397I
a = 0
b = 0.538152 0.474397I
2.02988I 3.46410I
u = 0.538152 + 0.474397I
a = 0
b = 0.538152 + 0.474397I
2.02988I 3.46410I
u = 1.244777 0.142901I
a = 0
b = 1.244777 0.142901I
2.02988I 3.46410I
u = 1.244777 + 0.142901I
a = 0
b = 1.244777 + 0.142901I
2.02988I 3.46410I
3
II.
I
u
2
= hu
14
7u
12
+· · ·6u
2
+1, u
13
4u
11
+· · ·+b+2u, u
13
5u
11
+· · ·+a4ui
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
4
=
1
u
2
a
11
=
u
13
+ 5u
11
+ ··· 2u
2
+ 4u
u
13
+ 4u
11
u
10
2u
9
+ 3u
8
10u
7
+ 8u
5
5u
4
+ 7u
3
+ 2u
2
2u
a
5
=
3u
12
16u
10
+ ··· u + 1
3u
12
17u
10
+ ··· + u 3
a
9
=
u
u
3
+ u
a
1
=
u
9
+ 4u
7
u
6
4u
5
+ 3u
4
3u
3
2u
2
+ 4u
2u
11
+ 10u
9
2u
8
15u
7
+ 8u
6
u
5
9u
4
+ 14u
3
+ 2u
2
3u
a
2
=
u
13
4u
12
+ ··· 2u + 7
u
12
u
11
+ 5u
10
+ 4u
9
8u
8
3u
7
+ 2u
6
6u
5
+ 3u
4
+ 8u
3
+ u
2
+ 1
a
7
=
u
u
a
10
=
u
11
+ 4u
9
u
8
3u
7
+ 3u
6
6u
5
u
4
+ 4u
3
2u
2
+ 4u
2u
11
+ 10u
9
2u
8
15u
7
+ 8u
6
u
5
9u
4
+ 13u
3
+ 2u
2
2u
a
6
=
2u
13
+ u
12
+ ··· u 1
3u
13
+ u
12
+ ··· + 6u 1
a
6
=
2u
13
+ u
12
+ ··· u 1
3u
13
+ u
12
+ ··· + 6u 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
4
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.53144 0.27401I
a = 0.159874 + 0.992720I
b = 0.465635 + 1.283863I
7.21557 5.51825I 2.78614 + 6.97305I
u = 1.53144 + 0.27401I
a = 0.159874 0.992720I
b = 0.465635 1.283863I
7.21557 + 5.51825I 2.78614 6.97305I
u = 1.277272 0.029336I
a = 0.167759 + 0.864132I
b = 1.05258 + 1.03767I
0.618868 + 0.444831I 2.27753 0.29534I
u = 1.277272 + 0.029336I
a = 0.167759 0.864132I
b = 1.05258 1.03767I
0.618868 0.444831I 2.27753 + 0.29534I
u = 0.525315 0.097068I
a = 2.32892 0.45231I
b = 0.196417 0.564918I
3.49025 0.87643I 1.45603 + 4.57034I
u = 0.525315 + 0.097068I
a = 2.32892 + 0.45231I
b = 0.196417 + 0.564918I
3.49025 + 0.87643I 1.45603 4.57034I
u = 0.177987 0.918407I
a = 0.0502499 0.0908321I
b = 0.159685 0.632171I
1.18133 + 1.08400I 6.90405 2.11871I
u = 0.177987 + 0.918407I
a = 0.0502499 + 0.0908321I
b = 0.159685 + 0.632171I
1.18133 1.08400I 6.90405 + 2.11871I
u = 0.476769 0.266588I
a = 1.43474 0.53588I
b = 0.593894 0.983607I
2.26991 4.07125I 0.78077 + 2.79812I
u = 0.476769 + 0.266588I
a = 1.43474 + 0.53588I
b = 0.593894 + 0.983607I
2.26991 + 4.07125I 0.78077 2.79812I
5
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.312203 0.094755I
a = 0.62145 + 2.10019I
b = 0.30275 + 2.49937I
0.94118 + 5.35545I 0.99788 4.06151I
u = 1.312203 + 0.094755I
a = 0.62145 2.10019I
b = 0.30275 2.49937I
0.94118 5.35545I 0.99788 + 4.06151I
u = 1.367067 0.305841I
a = 0.542506 + 1.255423I
b = 0.22737 + 1.79631I
5.26561 + 3.25287I 6.82202 1.57098I
u = 1.367067 + 0.305841I
a = 0.542506 1.255423I
b = 0.22737 1.79631I
5.26561 3.25287I 6.82202 + 1.57098I
6
III. I
u
3
=
hu
66
+u
65
+· · ·+56u+11, 5.92×10
66
u
65
+2.74×10
65
u
64
+· · ·+7.49×10
66
b
1.29× 10
68
, 8.15 ×10
66
u
65
1.35 ×10
66
u
64
+· · · +4.84 ×10
66
a + 8.34× 10
67
i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
4
=
1
u
2
a
11
=
1.68196u
65
+ 0.278389u
64
+ ··· 17.9197u 17.2215
0.791051u
65
0.0366627u
64
+ ··· + 48.8894u + 17.2864
a
5
=
1.44073u
65
+ 0.878340u
64
+ ··· 110.694u 9.77227
0.752834u
65
+ 2.36654u
64
+ ··· 11.3863u 15.7210
a
9
=
u
u
3
+ u
a
1
=
1.18469u
65
+ 0.303462u
64
+ ··· 38.2390u 23.3777
0.336509u
65
+ 0.0930827u
64
+ ··· + 45.4276u + 17.6969
a
2
=
0.375735u
65
1.60654u
64
+ ··· + 75.9291u + 5.65979
0.407143u
65
0.990997u
64
+ ··· + 89.3206u + 7.35433
a
7
=
u
u
a
10
=
1.28417u
65
0.0883036u
64
+ ··· + 4.52807u 10.8871
0.393268u
65
0.403356u
64
+ ··· + 71.3372u + 23.6208
a
6
=
0.467440u
65
+ 1.33478u
64
+ ··· + 137.688u + 26.0907
0.290771u
65
+ 1.00394u
64
+ ··· + 23.6763u + 2.81038
a
6
=
0.467440u
65
+ 1.33478u
64
+ ··· + 137.688u + 26.0907
0.290771u
65
+ 1.00394u
64
+ ··· + 23.6763u + 2.81038
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
7
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.56543 0.00423I
a = 0.036651 0.837873I
b = 0.335575 1.304640I
7.34513 + 3.69328I 5.70329 3.99766I
u = 1.56543 + 0.00423I
a = 0.036651 + 0.837873I
b = 0.335575 + 1.304640I
7.34513 3.69328I 5.70329 + 3.99766I
u = 1.53980 0.24021I
a = 0.032282 0.402720I
b = 0.250277 0.499331I
7.34762 4.66083I 3.40198 1.35385I
u = 1.53980 + 0.24021I
a = 0.032282 + 0.402720I
b = 0.250277 + 0.499331I
7.34762 + 4.66083I 3.40198 + 1.35385I
u = 1.50876 0.21074I
a = 0.58629 1.81167I
b = 1.21144 2.23510I
8.05212 7.21112I 3.75093 + 7.55072I
u = 1.50876 + 0.21074I
a = 0.58629 + 1.81167I
b = 1.21144 + 2.23510I
8.05212 + 7.21112I 3.75093 7.55072I
u = 1.50352 0.33593I
a = 0.09701 1.77148I
b = 0.89288 2.38972I
2.8953 16.3430I 1.06489 + 8.87978I
u = 1.50352 + 0.33593I
a = 0.09701 + 1.77148I
b = 0.89288 + 2.38972I
2.8953 + 16.3430I 1.06489 8.87978I
u = 1.43257 0.20899I
a = 0.21983 + 1.54348I
b = 0.29120 + 2.30793I
5.13042 4.43339I 0.87767 + 3.97352I
u = 1.43257 + 0.20899I
a = 0.21983 1.54348I
b = 0.29120 2.30793I
5.13042 + 4.43339I 0.87767 3.97352I
8
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.39664 0.23092I
a = 0.24781 + 1.50478I
b = 0.04413 + 2.13813I
4.89628 4.04600I 2.23015 + 7.91470I
u = 1.39664 + 0.23092I
a = 0.24781 1.50478I
b = 0.04413 2.13813I
4.89628 + 4.04600I 2.23015 7.91470I
u = 1.345929 0.381495I
a = 0.546784 + 1.277554I
b = 0.01397 + 1.53688I
4.10664 2.85933I 0.363943 + 0.476166I
u = 1.345929 + 0.381495I
a = 0.546784 1.277554I
b = 0.01397 1.53688I
4.10664 + 2.85933I 0.363943 0.476166I
u = 1.312251 0.140904I
a = 0.51979 + 1.93090I
b = 1.38179 + 2.76223I
0.45544 6.74104I 1.78893 + 9.48565I
u = 1.312251 + 0.140904I
a = 0.51979 1.93090I
b = 1.38179 2.76223I
0.45544 + 6.74104I 1.78893 9.48565I
u = 1.300751 0.071536I
a = 0.29442 2.63869I
b = 0.95802 2.68545I
0.89589 + 3.10402I 0.54343 3.05170I
u = 1.300751 + 0.071536I
a = 0.29442 + 2.63869I
b = 0.95802 + 2.68545I
0.89589 3.10402I 0.54343 + 3.05170I
u = 1.25319
a = 2.15992
b = 1.09329
1.97498 8.68362
u = 0.838535 0.638751I
a = 0.833437 + 0.202510I
b = 0.253734 0.275963I
3.79937 + 1.04615I 4.07037 1.54227I
9
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.838535 + 0.638751I
a = 0.833437 0.202510I
b = 0.253734 + 0.275963I
3.79937 1.04615I 4.07037 + 1.54227I
u = 0.624520
a = 1.91986
b = 0.192651
2.96244 1.55792
u = 0.499107 0.601720I
a = 1.167046 + 0.659374I
b = 0.118916 0.135810I
0.53608 6.26556I 0.17371 + 8.67399I
u = 0.499107 + 0.601720I
a = 1.167046 0.659374I
b = 0.118916 + 0.135810I
0.53608 + 6.26556I 0.17371 8.67399I
u = 0.421355 0.241460I
a = 1.73080 + 0.37317I
b = 0.565585 0.460261I
3.46107 0.67912I 7.42755 + 0.90755I
u = 0.421355 + 0.241460I
a = 1.73080 0.37317I
b = 0.565585 + 0.460261I
3.46107 + 0.67912I 7.42755 0.90755I
u = 0.378622 0.824752I
a = 0.328877 0.498069I
b = 0.510372 + 1.010837I
5.12672 6.11193I 5.23492 + 4.86209I
u = 0.378622 + 0.824752I
a = 0.328877 + 0.498069I
b = 0.510372 1.010837I
5.12672 + 6.11193I 5.23492 4.86209I
u = 0.152892 0.474127I
a = 0.272039 1.076983I
b = 1.01459 + 1.23534I
4.84160 1.58290I 12.15061 + 4.58696I
u = 0.152892 + 0.474127I
a = 0.272039 + 1.076983I
b = 1.01459 1.23534I
4.84160 + 1.58290I 12.15061 4.58696I
10
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.061681 0.374204I
a = 0.90272 1.56722I
b = 0.97087 + 1.50172I
2.95387 4.62224I 8.92315 + 9.30302I
u = 0.061681 + 0.374204I
a = 0.90272 + 1.56722I
b = 0.97087 1.50172I
2.95387 + 4.62224I 8.92315 9.30302I
u = 0.027083 0.362855I
a = 1.31330 + 3.64804I
b = 0.541436 0.478433I
4.27222 + 0.57322I 11.33808 + 0.19233I
u = 0.027083 + 0.362855I
a = 1.31330 3.64804I
b = 0.541436 + 0.478433I
4.27222 0.57322I 11.33808 0.19233I
u = 0.026299 0.514959I
a = 1.42546 + 2.09507I
b = 0.364273 0.607080I
3.70447 + 4.43878I 8.63157 6.42537I
u = 0.026299 + 0.514959I
a = 1.42546 2.09507I
b = 0.364273 + 0.607080I
3.70447 4.43878I 8.63157 + 6.42537I
u = 0.173216 0.542893I
a = 0.552400 + 0.388278I
b = 0.114381 0.431153I
0.210341 + 1.088943I 2.71206 6.43281I
u = 0.173216 + 0.542893I
a = 0.552400 0.388278I
b = 0.114381 + 0.431153I
0.210341 1.088943I 2.71206 + 6.43281I
u = 0.352924 0.588823I
a = 1.060657 + 0.587492I
b = 0.116705 0.314542I
0.60022 + 1.53805I 2.72682 4.17703I
u = 0.352924 + 0.588823I
a = 1.060657 0.587492I
b = 0.116705 + 0.314542I
0.60022 1.53805I 2.72682 + 4.17703I
11
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.426067 0.854574I
a = 0.325648 + 0.487316I
b = 0.161112 0.217050I
0.545532 + 0.599797I 1.64339 + 2.56314I
u = 0.426067 + 0.854574I
a = 0.325648 0.487316I
b = 0.161112 + 0.217050I
0.545532 0.599797I 1.64339 2.56314I
u = 0.427034 0.903111I
a = 0.335814 0.434159I
b = 0.397969 + 0.984229I
3.31701 + 11.86688I 2.33938 8.98950I
u = 0.427034 + 0.903111I
a = 0.335814 + 0.434159I
b = 0.397969 0.984229I
3.31701 11.86688I 2.33938 + 8.98950I
u = 0.581292 0.621591I
a = 0.115091 0.453767I
b = 0.669490 + 0.675282I
1.28697 + 4.18216I 0.76452 7.21124I
u = 0.581292 + 0.621591I
a = 0.115091 + 0.453767I
b = 0.669490 0.675282I
1.28697 4.18216I 0.76452 + 7.21124I
u = 0.863358 0.803933I
a = 0.651097 + 0.136792I
b = 0.306628 0.225939I
2.13300 6.10455I 0.32708 + 7.28438I
u = 0.863358 + 0.803933I
a = 0.651097 0.136792I
b = 0.306628 + 0.225939I
2.13300 + 6.10455I 0.32708 7.28438I
u = 1.318666 0.101661I
a = 0.81416 + 1.63272I
b = 1.73626 + 2.29537I
0.022290 + 1.139272I 1.44666 3.26601I
u = 1.318666 + 0.101661I
a = 0.81416 1.63272I
b = 1.73626 2.29537I
0.022290 1.139272I 1.44666 + 3.26601I
12
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.356353 0.109562I
a = 1.70037 1.21403I
b = 0.73426 1.45188I
1.61048 + 6.33014I 1.50299 9.39905I
u = 1.356353 + 0.109562I
a = 1.70037 + 1.21403I
b = 0.73426 + 1.45188I
1.61048 6.33014I 1.50299 + 9.39905I
u = 1.362003 0.146301I
a = 0.42515 2.64179I
b = 1.18295 2.81369I
0.04052 + 3.80627I 4.52538 3.38354I
u = 1.362003 + 0.146301I
a = 0.42515 + 2.64179I
b = 1.18295 + 2.81369I
0.04052 3.80627I 4.52538 + 3.38354I
u = 1.44124 0.10191I
a = 0.166530 0.566261I
b = 0.640882 0.783910I
3.94345 + 0.27627I 0.20377 + 1.42170I
u = 1.44124 + 0.10191I
a = 0.166530 + 0.566261I
b = 0.640882 + 0.783910I
3.94345 0.27627I 0.20377 1.42170I
u = 1.44655 0.41755I
a = 0.458239 + 1.157473I
b = 0.21121 + 1.56058I
4.97139 + 7.17182I 2.17443 7.07194I
u = 1.44655 + 0.41755I
a = 0.458239 1.157473I
b = 0.21121 1.56058I
4.97139 7.17182I 2.17443 + 7.07194I
u = 1.46098 0.10317I
a = 0.02199 + 1.63039I
b = 0.39412 + 2.22912I
9.63085 + 2.05112I 6.92535 0.66566I
u = 1.46098 + 0.10317I
a = 0.02199 1.63039I
b = 0.39412 2.22912I
9.63085 2.05112I 6.92535 + 0.66566I
13
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.47382 0.30766I
a = 0.16122 1.88903I
b = 0.96637 2.42479I
0.83745 + 10.20369I 1.21421 5.33203I
u = 1.47382 + 0.30766I
a = 0.16122 + 1.88903I
b = 0.96637 + 2.42479I
0.83745 10.20369I 1.21421 + 5.33203I
u = 1.48768 0.21828I
a = 0.18301 + 1.44770I
b = 0.40943 + 2.35553I
6.95817 + 9.29076I 3.00327 7.81221I
u = 1.48768 + 0.21828I
a = 0.18301 1.44770I
b = 0.40943 2.35553I
6.95817 9.29076I 3.00327 + 7.81221I
u = 1.52630 0.26274I
a = 0.227287 + 1.160140I
b = 0.32284 + 1.74217I
6.28712 + 1.90390I 5.33832 + 1.00177I
u = 1.52630 + 0.26274I
a = 0.227287 1.160140I
b = 0.32284 1.74217I
6.28712 1.90390I 5.33832 1.00177I
14
IV. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u
2
u + 1)
5
(u
14
u
13
+ ··· u + 1)(u
66
+ 5u
65
+ ··· + 34u + 4)
c
2
(u
2
+ u + 1)
5
(u
14
+ 7u
13
+ ··· + 7u + 1)(u
66
+ 27u
65
+ ··· 12u + 16)
c
3
(u
10
2u
8
+ ··· u + 1)(u
14
7u
12
+ ··· 6u
2
+ 1)
(u
66
+ u
65
+ ··· + 56u + 11)
c
4
(u
10
2u
8
u
6
+ u
5
+ 2u
4
u
3
+ u
2
u + 1)
(u
14
+ 3u
11
+ 2u
10
+ u
8
+ 3u
6
u
5
u
4
2u
3
+ u
2
+ 1)
(u
66
+ 3u
65
+ ··· + 250u + 71)
c
5
(u
2
u + 1)
5
(u
14
+ u
13
+ ··· + u + 1)(u
66
+ 5u
65
+ ··· + 34u + 4)
c
6
(u
10
+ 4u
9
+ 2u
8
8u
7
5u
6
+ 7u
5
3u
3
+ 3u
2
u + 1)
(u
14
2u
13
+ ··· 6u
2
+ 1)(u
66
3u
65
+ ··· + 698u + 391)
c
7
, c
8
(u
10
2u
8
+ ··· u + 1)(u
14
7u
12
+ ··· 6u
2
+ 1)
(u
66
+ u
65
+ ··· + 56u + 11)
c
9
(u
10
+ 2u
8
+ 4u
7
3u
6
+ u
5
+ 12u
4
+ u
3
5u
2
+ 3u + 3)
(u
14
+ u
12
2u
11
u
10
u
9
+ 3u
8
+ u
6
+ 2u
4
+ 3u
3
+ 1)
(u
66
+ u
65
+ ··· 470u + 241)
c
10
(u
10
+ 4u
9
+ 2u
8
8u
7
5u
6
+ 7u
5
3u
3
+ 3u
2
u + 1)
(u
14
+ 2u
13
+ ··· 6u
2
+ 1)(u
66
3u
65
+ ··· + 698u + 391)
c
11
(u
10
+ 4u
9
+ 2u
8
8u
7
5u
6
+ 7u
5
3u
3
+ 3u
2
u + 1)
(u
14
2u
12
+ 3u
10
u
9
+ u
8
+ 7u
7
+ 2u
6
2u
5
+ 2u
4
+ 2u
3
+ u
2
+ 2u + 1)
(u
66
+ 7u
65
+ ··· + 102u 67)
15
V. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
(y
2
+ y + 1)
5
(y
14
+ 7y
13
+ ··· + 7y + 1)(y
66
+ 27y
65
+ ··· 12y + 16)
c
2
(y
2
+ y + 1)
5
(y
14
+ 7y
13
+ ··· + 3y + 1)
(y
66
+ 27y
65
+ ··· 164976y + 256)
c
3
, c
7
, c
8
(y
10
4y
9
+ 2y
8
+ 8y
7
5y
6
7y
5
+ 3y
3
+ 3y
2
+ y + 1)
(y
14
14y
13
+ ··· 12y + 1)(y
66
69y
65
+ ··· + 3574y + 121)
c
4
(y
10
4y
9
+ 2y
8
+ 8y
7
5y
6
7y
5
+ 3y
3
+ 3y
2
+ y + 1)
(y
14
+ 4y
12
+ ··· + 2y + 1)(y
66
+ 13y
65
+ ··· + 99380y + 5041)
c
5
(y
2
+ y + 1)
5
(y
14
+ 7y
13
+ ··· + 7y + 1)(y
66
+ 27y
65
+ ··· 12y + 16)
c
6
(y
10
12y
9
+ 58y
8
140y
7
+ 167y
6
75y
5
5y
3
+ 3y
2
+ 5y + 1)
(y
14
14y
13
+ ··· 12y + 1)
(y
66
41y
65
+ ··· 3193705y + 152881)
c
9
(y
10
+ 4y
9
+ ··· 39y + 9)(y
14
+ 2y
13
+ ··· + 4y
2
+ 1)
(y
66
21y
65
+ ··· 54610y + 58081)
c
10
(y
10
12y
9
+ 58y
8
140y
7
+ 167y
6
75y
5
5y
3
+ 3y
2
+ 5y + 1)
(y
14
14y
13
+ ··· 12y + 1)
(y
66
41y
65
+ ··· 3193706y + 152881)
c
11
(y
10
12y
9
+ 58y
8
140y
7
+ 167y
6
75y
5
5y
3
+ 3y
2
+ 5y + 1)
(y
14
4y
13
+ ··· 2y + 1)(y
66
3y
65
+ ··· 228020y + 4489)
16