11a
148
(K11a
148
)
1
Arc Sequences
6 1 8 10 2 5 11 3 7 4 9
Solving Sequence
2,6
1 3 5
7,9
10 4 8 11
c
1
c
2
c
5
c
6
c
9
c
4
c
8
c
11
c
3
, c
7
, c
10
Representation Ideals
I =
3
\
i=1
I
u
i
I
u
1
= ha
44
5a
43
+ ··· + 128139095a + 17730277,
6.94278 × 10
236
u + 1.84074 × 10
229
a
43
+ ··· + 3.72435 × 10
236
a 2.23874 × 10
234
,
2.79409 × 10
247
b 2.76302 × 10
240
a
43
+ ··· 5.98421 × 10
248
a 1.11241 × 10
248
i
I
u
2
= hu
12
u
11
+ 3u
10
2u
9
+ 6u
8
4u
7
+ 9u
6
5u
5
+ 8u
4
3u
3
+ 5u
2
u + 1,
u
11
+ u
10
3u
9
+ u
8
6u
7
+ 2u
6
9u
5
+ 2u
4
7u
3
+ b 4u,
u
11
2u
10
+ 4u
9
4u
8
+ 7u
7
8u
6
+ 11u
5
11u
4
+ 9u
3
7u
2
+ a + 4u 4i
I
u
3
= hu
25
+ 6u
24
+ ··· + 2u 4, 27u
24
155u
23
+ ··· + 2a + 101, 35u
24
+ 168u
23
+ ··· + 2b 32i
There are 3 irreducible components with 81 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
= ha
44
5a
43
+ · · · + 128139095a + 17730277, 6.94 × 10
236
u + 1.84 ×
10
229
a
43
+ · · · + 3.72 × 10
236
a 2.24 × 10
234
, 2.79 × 10
247
b 2.76 ×
10
240
a
43
+ · · · 5.98 × 10
248
a 1.11 × 10
248
i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
2.65131 × 10
8
a
43
+ 1.56135 × 10
7
a
42
+ ··· 0.536435a + 0.00322455
a
1
=
1
9.12086 × 10
9
a
43
+ 4.68137 × 10
8
a
42
+ ··· 4.60622a 1.71958
a
3
=
9.12086 × 10
9
a
43
+ 4.68137 × 10
8
a
42
+ ··· 4.60622a 0.719577
2.92573 × 10
9
a
43
8.93889 × 10
9
a
42
+ ··· + 5.84131a + 1.68223
a
5
=
2.65131 × 10
8
a
43
1.56135 × 10
7
a
42
+ ··· + 0.536435a 0.00322455
2.65131 × 10
8
a
43
+ 1.56135 × 10
7
a
42
+ ··· 0.536435a + 0.00322455
a
7
=
2.82431 × 10
8
a
43
1.33339 × 10
7
a
42
+ ··· + 10.4372a + 1.82282
5.47562 × 10
8
a
43
+ 2.89474 × 10
7
a
42
+ ··· 10.9736a 1.81960
a
9
=
a
9.88881 × 10
8
a
43
5.36886 × 10
7
a
42
+ ··· + 21.4174a + 3.98128
a
10
=
2.52506 × 10
9
a
43
+ 1.60068 × 10
8
a
42
+ ··· 1.83077a 0.900296
9.89677 × 10
8
a
43
5.38149 × 10
7
a
42
+ ··· + 22.0758a + 3.97162
a
4
=
1.47359 × 10
8
a
43
+ 7.32166 × 10
8
a
42
+ ··· 5.30753a 1.31383
1.22025 × 10
7
a
43
+ 6.56552 × 10
7
a
42
+ ··· 22.8948a 5.00519
a
8
=
6.79633 × 10
8
a
43
3.60732 × 10
7
a
42
+ ··· + 14.2548a + 2.89234
8.93168 × 10
8
a
43
4.83616 × 10
7
a
42
+ ··· + 22.1288a + 4.21266
a
11
=
3.62292 × 10
8
a
43
1.96362 × 10
7
a
42
+ ··· + 8.69690a + 2.73187
1.97615 × 10
7
a
43
1.05603 × 10
6
a
42
+ ··· + 43.1657a + 8.54907
a
11
=
3.62292 × 10
8
a
43
1.96362 × 10
7
a
42
+ ··· + 8.69690a + 2.73187
1.97615 × 10
7
a
43
1.05603 × 10
6
a
42
+ ··· + 43.1657a + 8.54907
(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 = 0.267638 0.666716I
a = 2.48453 0.39943I
b = 0.398387 + 0.438790I
4.63007 + 0.89859I 2.01220 + 2.59375I
u = 0.267638 + 0.666716I
a = 2.48453 + 0.39943I
b = 0.398387 0.438790I
4.63007 0.89859I 2.01220 2.59375I
u = 0.838197 + 0.796762I
a = 1.39359 1.49694I
b = 2.82533 0.05206I
6.91185 3.44687I 1.20869 + 4.09783I
u = 0.838197 0.796762I
a = 1.39359 + 1.49694I
b = 2.82533 + 0.05206I
6.91185 + 3.44687I 1.20869 4.09783I
u = 0.274458 0.988557I
a = 1.07620 0.93707I
b = 0.763501 + 0.929299I
0.24681 + 4.97660I 7.79937 7.58197I
u = 0.274458 + 0.988557I
a = 1.07620 + 0.93707I
b = 0.763501 0.929299I
0.24681 4.97660I 7.79937 + 7.58197I
u = 0.783273 + 0.973706I
a = 0.89046 1.26486I
b = 1.58433 0.03492I
6.36658 + 5.44535I 2.22908 2.09050I
u = 0.783273 0.973706I
a = 0.89046 + 1.26486I
b = 1.58433 + 0.03492I
6.36658 5.44535I 2.22908 + 2.09050I
u = 0.602288
a = 0.778528 0.855239I
b = 0.012044 + 0.807490I
2.73943 2.02988I 1.62374 + 3.46410I
u = 0.602288
a = 0.778528 + 0.855239I
b = 0.012044 0.807490I
2.73943 + 2.02988I 1.62374 3.46410I
3
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.274458 + 0.988557I
a = 0.761443 0.782702I
b = 0.437204 + 0.625252I
0.246814 0.916836I 7.79937 + 0.65377I
u = 0.274458 0.988557I
a = 0.761443 + 0.782702I
b = 0.437204 0.625252I
0.246814 + 0.916836I 7.79937 0.65377I
u = 0.783273 + 0.973706I
a = 0.58020 1.92757I
b = 2.64742 + 0.71348I
6.36658 + 9.50512I 2.22908 9.01871I
u = 0.783273 0.973706I
a = 0.58020 + 1.92757I
b = 2.64742 0.71348I
6.36658 9.50512I 2.22908 + 9.01871I
u = 0.267638 + 0.666716I
a = 0.382603 0.064806I
b = 0.65101 1.57425I
4.63007 + 3.16118I 2.01220 9.52195I
u = 0.267638 0.666716I
a = 0.382603 + 0.064806I
b = 0.65101 + 1.57425I
4.63007 3.16118I 2.01220 + 9.52195I
u = 0.274458 0.988557I
a = 0.228586 0.296333I
b = 0.244639 0.277316I
0.246814 + 0.916836I 7.79937 0.65377I
u = 0.274458 + 0.988557I
a = 0.228586 + 0.296333I
b = 0.244639 + 0.277316I
0.246814 0.916836I 7.79937 + 0.65377I
u = 0.813506 0.895281I
a = 0.053255 1.073331I
b = 2.14570 + 1.02655I
10.57740 + 1.01164I 2.06121 + 0.64168I
u = 0.813506 + 0.895281I
a = 0.053255 + 1.073331I
b = 2.14570 1.02655I
10.57740 1.01164I 2.06121 0.64168I
4
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.267638 + 0.666716I
a = 0.02805 2.21970I
b = 0.74533 + 1.93262I
4.63007 0.89859I 2.01220 2.59375I
u = 0.267638 0.666716I
a = 0.02805 + 2.21970I
b = 0.74533 1.93262I
4.63007 + 0.89859I 2.01220 + 2.59375I
u = 0.838197 + 0.796762I
a = 0.03670 1.50054I
b = 1.36614 + 0.90157I
6.91185 + 0.61290I 1.20869 2.83037I
u = 0.838197 0.796762I
a = 0.03670 + 1.50054I
b = 1.36614 0.90157I
6.91185 0.61290I 1.20869 + 2.83037I
u = 0.813506 0.895281I
a = 0.07683 2.57735I
b = 1.74410 + 1.83528I
10.57740 + 1.01164I 2.06121 + 0.64168I
u = 0.813506 + 0.895281I
a = 0.07683 + 2.57735I
b = 1.74410 1.83528I
10.57740 1.01164I 2.06121 0.64168I
u = 0.838197 0.796762I
a = 0.259768 0.864513I
b = 1.65309 + 0.61568I
6.91185 0.61290I 1.20869 + 2.83037I
u = 0.838197 + 0.796762I
a = 0.259768 + 0.864513I
b = 1.65309 0.61568I
6.91185 + 0.61290I 1.20869 2.83037I
u = 0.602288
a = 0.48164 1.36946I
b = 0.461645 + 0.028759I
2.73943 + 2.02988I 1.62374 3.46410I
u = 0.602288
a = 0.48164 + 1.36946I
b = 0.461645 0.028759I
2.73943 2.02988I 1.62374 + 3.46410I
5
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.838197 0.796762I
a = 0.69454 1.55821I
b = 2.43426 0.15762I
6.91185 + 3.44687I 1.20869 4.09783I
u = 0.838197 + 0.796762I
a = 0.69454 + 1.55821I
b = 2.43426 + 0.15762I
6.91185 3.44687I 1.20869 + 4.09783I
u = 0.783273 0.973706I
a = 1.02861 2.35476I
b = 2.80137 + 1.06189I
6.36658 9.50512I 2.22908 + 9.01871I
u = 0.783273 + 0.973706I
a = 1.02861 + 2.35476I
b = 2.80137 1.06189I
6.36658 + 9.50512I 2.22908 9.01871I
u = 0.783273 0.973706I
a = 1.036204 0.662931I
b = 1.80909 0.34245I
6.36658 5.44535I 2.22908 + 2.09050I
u = 0.783273 + 0.973706I
a = 1.036204 + 0.662931I
b = 1.80909 + 0.34245I
6.36658 + 5.44535I 2.22908 2.09050I
u = 0.274458 0.988557I
a = 1.150003 0.163504I
b = 0.078138 0.311249I
0.24681 + 4.97660I 7.79937 7.58197I
u = 0.274458 + 0.988557I
a = 1.150003 + 0.163504I
b = 0.078138 + 0.311249I
0.24681 4.97660I 7.79937 + 7.58197I
u = 0.813506 + 0.895281I
a = 1.18879 1.57660I
b = 1.85365 0.68950I
10.57740 5.07141I 2.06121 + 6.28652I
u = 0.813506 0.895281I
a = 1.18879 + 1.57660I
b = 1.85365 + 0.68950I
10.57740 + 5.07141I 2.06121 6.28652I
6
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.813506 + 0.895281I
a = 1.96101 0.26916I
b = 2.56967 1.24825I
10.57740 5.07141I 2.06121 + 6.28652I
u = 0.813506 0.895281I
a = 1.96101 + 0.26916I
b = 2.56967 + 1.24825I
10.57740 + 5.07141I 2.06121 6.28652I
u = 0.267638 + 0.666716I
a = 3.18724 1.15243I
b = 0.816152 + 1.127803I
4.63007 + 3.16118I 2.01220 9.52195I
u = 0.267638 0.666716I
a = 3.18724 + 1.15243I
b = 0.816152 1.127803I
4.63007 3.16118I 2.01220 + 9.52195I
7
II.
I
u
2
= hu
12
u
11
+· · · u + 1, u
11
+u
10
+· · · + b 4u, u
11
2u
10
+· · · + a 4i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
1
=
1
u
2
a
3
=
u
2
+ 1
u
4
a
5
=
u
u
a
7
=
u
3
u
3
+ u
a
9
=
u
11
+ 2u
10
+ ··· 4u + 4
u
11
u
10
+ 3u
9
u
8
+ 6u
7
2u
6
+ 9u
5
2u
4
+ 7u
3
+ 4u
a
10
=
u
11
+ 2u
10
+ ··· 3u + 4
2u
11
2u
10
+ ··· + 5u 1
a
4
=
3u
11
3u
10
+ ··· + 9u 1
u
11
2u
9
u
8
4u
7
2u
6
4u
5
4u
4
2u
3
4u
2
u 3
a
8
=
u
10
u
9
+ 2u
8
u
7
+ 4u
6
3u
5
+ 6u
4
3u
3
+ 4u
2
u + 3
u
11
u
10
+ 3u
9
u
8
+ 5u
7
2u
6
+ 8u
5
2u
4
+ 6u
3
+ 4u
a
11
=
2u
11
+ u
10
4u
9
+ u
8
8u
7
+ 2u
6
10u
5
+ u
4
6u
3
2u
2
4u 2
u
10
u
9
+ 2u
8
2u
7
+ 4u
6
4u
5
+ 5u
4
5u
3
+ 4u
2
3u + 2
a
11
=
2u
11
+ u
10
4u
9
+ u
8
8u
7
+ 2u
6
10u
5
+ u
4
6u
3
2u
2
4u 2
u
10
u
9
+ 2u
8
2u
7
+ 4u
6
4u
5
+ 5u
4
5u
3
+ 4u
2
3u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
8
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.839842 0.897845I
a = 0.241344 + 0.625397I
b = 0.269373 0.299156I
10.06096 + 3.11950I 0.49742 2.52128I
u = 0.839842 + 0.897845I
a = 0.241344 0.625397I
b = 0.269373 + 0.299156I
10.06096 3.11950I 0.49742 + 2.52128I
u = 0.429976 0.814812I
a = 0.081378 0.968613I
b = 0.252948 + 0.481751I
1.76614 + 1.77242I 11.74681 0.90385I
u = 0.429976 + 0.814812I
a = 0.081378 + 0.968613I
b = 0.252948 0.481751I
1.76614 1.77242I 11.74681 + 0.90385I
u = 0.109236 0.556796I
a = 2.66505 + 0.92579I
b = 0.04661 1.52320I
4.53093 2.25781I 3.63115 + 0.42527I
u = 0.109236 + 0.556796I
a = 2.66505 0.92579I
b = 0.04661 + 1.52320I
4.53093 + 2.25781I 3.63115 0.42527I
u = 0.111695 1.124495I
a = 0.025899 + 0.751777I
b = 0.396961 0.440767I
2.20710 + 1.19387I 6.38204 + 1.53253I
u = 0.111695 + 1.124495I
a = 0.025899 0.751777I
b = 0.396961 + 0.440767I
2.20710 1.19387I 6.38204 1.53253I
u = 0.752518 0.986539I
a = 1.33320 + 1.17743I
b = 2.13710 + 0.37562I
6.95919 7.10303I 0.32122 + 6.73031I
u = 0.752518 + 0.986539I
a = 1.33320 1.17743I
b = 2.13710 0.37562I
6.95919 + 7.10303I 0.32122 6.73031I
9
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.796369 0.772849I
a = 0.03503 1.67593I
b = 2.00388 + 1.18404I
7.61677 + 1.25384I 1.08380 0.96345I
u = 0.796369 + 0.772849I
a = 0.03503 + 1.67593I
b = 2.00388 1.18404I
7.61677 1.25384I 1.08380 + 0.96345I
10
III. I
u
3
= hu
25
+ 6u
24
+ · · · + 2u 4, 27u
24
155u
23
+ · · · + 2a +
101, 35u
24
+ 168u
23
+ · · · + 2b 32i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
1
=
1
u
2
a
3
=
u
2
+ 1
u
4
a
5
=
u
u
a
7
=
u
3
u
3
+ u
a
9
=
27
2
u
24
+
155
2
u
23
+ ··· + 39u
101
2
35
2
u
24
84u
23
+ ··· +
53
2
u + 16
a
10
=
7
2
u
24
+
37
2
u
23
+ ··· + 7u
21
2
9
2
u
24
17u
23
+ ··· +
39
2
u 6
a
4
=
3
4
u
24
u
23
+ ··· +
17
4
u 2
5
2
u
24
16u
23
+ ···
21
2
u + 11
a
8
=
u
24
7
2
u
23
+ ··· +
3
2
u
5
2
3
2
u
24
+ 6u
23
+ ··· +
17
2
u 4
a
11
=
17
4
u
24
24u
23
+ ···
37
4
u + 16
9
2
u
24
+ 21u
23
+ ···
27
2
u 1
a
11
=
17
4
u
24
24u
23
+ ···
37
4
u + 16
9
2
u
24
+ 21u
23
+ ···
27
2
u 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
11
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.993283 0.737833I
a = 0.375273 0.709529I
b = 1.332202 + 0.192203I
11.57134 + 0.60521I 2.81259 0.07964I
u = 0.993283 + 0.737833I
a = 0.375273 + 0.709529I
b = 1.332202 0.192203I
11.57134 0.60521I 2.81259 + 0.07964I
u = 0.928755 0.776951I
a = 0.99963 + 1.17470I
b = 2.38197 + 0.23867I
13.0505 9.3478I 0.12461 + 3.78791I
u = 0.928755 + 0.776951I
a = 0.99963 1.17470I
b = 2.38197 0.23867I
13.0505 + 9.3478I 0.12461 3.78791I
u = 0.834263 1.074415I
a = 0.617688 + 1.026740I
b = 1.46448 0.32121I
10.51103 + 6.06025I 0.84273 5.20676I
u = 0.834263 + 1.074415I
a = 0.617688 1.026740I
b = 1.46448 + 0.32121I
10.51103 6.06025I 0.84273 + 5.20676I
u = 0.815577 1.026236I
a = 0.83474 1.97424I
b = 2.55672 + 0.85139I
12.2597 + 15.7728I 1.36713 8.34320I
u = 0.815577 + 1.026236I
a = 0.83474 + 1.97424I
b = 2.55672 0.85139I
12.2597 15.7728I 1.36713 + 8.34320I
u = 0.772738 0.848455I
a = 1.04991 1.28098I
b = 2.14935 0.25094I
2.58604 + 0.70386I 5.85928 + 0.49941I
u = 0.772738 + 0.848455I
a = 1.04991 + 1.28098I
b = 2.14935 + 0.25094I
2.58604 0.70386I 5.85928 0.49941I
12
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.764005 0.915174I
a = 0.34371 + 1.87642I
b = 2.17540 1.02852I
2.38356 + 5.10130I 6.46922 5.59973I
u = 0.764005 + 0.915174I
a = 0.34371 1.87642I
b = 2.17540 + 1.02852I
2.38356 5.10130I 6.46922 + 5.59973I
u = 0.261992 0.786193I
a = 0.562785 + 0.125344I
b = 0.120830 0.426313I
0.450467 + 1.265122I 5.40648 4.55979I
u = 0.261992 + 0.786193I
a = 0.562785 0.125344I
b = 0.120830 + 0.426313I
0.450467 1.265122I 5.40648 + 4.55979I
u = 0.172465 0.850743I
a = 1.05588 0.98070I
b = 0.068333 + 0.860826I
2.99666 1.65679I 15.0147 + 0.6856I
u = 0.172465 + 0.850743I
a = 1.05588 + 0.98070I
b = 0.068333 0.860826I
2.99666 + 1.65679I 15.0147 0.6856I
u = 0.205874 1.279223I
a = 0.297105 + 0.434123I
b = 0.360870 0.141760I
2.70932 + 1.76563I 1.67735 6.00861I
u = 0.205874 + 1.279223I
a = 0.297105 0.434123I
b = 0.360870 + 0.141760I
2.70932 1.76563I 1.67735 + 6.00861I
u = 0.294100
a = 1.77854
b = 0.404195
0.887194 11.1494
u = 0.387681 1.123213I
a = 0.918133 + 0.226616I
b = 0.438533 0.451507I
4.17221 10.11185I 4.52201 + 8.50269I
13
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.387681 + 1.123213I
a = 0.918133 0.226616I
b = 0.438533 + 0.451507I
4.17221 + 10.11185I 4.52201 8.50269I
u = 0.547785 0.829347I
a = 0.132188 1.028137I
b = 0.342369 + 0.476494I
1.27014 2.16528I 1.04869 + 7.02425I
u = 0.547785 + 0.829347I
a = 0.132188 + 1.028137I
b = 0.342369 0.476494I
1.27014 + 2.16528I 1.04869 7.02425I
u = 0.909758 0.111933I
a = 0.448280 0.761789I
b = 0.191053 + 0.377973I
7.60221 + 5.64749I 1.55411 4.80712I
u = 0.909758 + 0.111933I
a = 0.448280 + 0.761789I
b = 0.191053 0.377973I
7.60221 5.64749I 1.55411 + 4.80712I
14
IV. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u
11
u
10
+ 2u
9
u
8
+ 4u
7
2u
6
+ 4u
5
u
4
+ 3u
3
+ u
2
+ 1)
4
(u
12
u
11
+ ··· u + 1)(u
25
+ 6u
24
+ ··· + 2u 4)
c
2
, c
6
1
(1 2u + u
2
+ 15u
3
+ 29u
4
+ 40u
5
+ 40u
6
+ 32u
7
+ 19u
8
+ 10u
9
+ 3u
10
+ u
11
)
4
(u
12
+ 5u
11
+ ··· + 9u + 1)(u
25
+ 8u
24
+ ··· + 92u 16)
c
3
, c
10
(u
12
+ 7u
10
+ ··· 4u + 1)(u
25
+ 11u
23
+ ··· + u + 1)
(u
44
+ u
43
+ ··· 10u + 1)
c
4
, c
8
(u
12
+ 7u
10
+ ··· + 4u + 1)(u
25
+ 11u
23
+ ··· + u + 1)
(u
44
+ u
43
+ ··· 10u + 1)
c
5
(u
11
u
10
+ 2u
9
u
8
+ 4u
7
2u
6
+ 4u
5
u
4
+ 3u
3
+ u
2
+ 1)
4
(u
12
+ u
11
+ ··· + u + 1)(u
25
+ 6u
24
+ ··· + 2u 4)
c
7
(u
2
u + 1)
22
(u
12
+ 2u
11
+ 4u
10
+ u
9
2u
8
5u
7
6u
6
3u
5
+ 3u
3
+ 3u
2
+ 2u + 1)
(u
25
+ 25u
24
+ ··· + 22528u + 2048)
c
9
(u
12
2u
11
+ 3u
10
3u
9
+ 3u
7
6u
6
+ 5u
5
2u
4
u
3
+ 4u
2
2u + 1)
(u
25
2u
24
+ ··· 3u 1)(u
44
+ 13u
43
+ ··· + 7082u + 793)
c
11
(u
12
2u
11
+ 3u
10
3u
9
+ 3u
7
6u
6
+ 5u
5
2u
4
u
3
+ 4u
2
2u + 1)
(u
25
2u
24
+ ··· 3u 1)(u
44
+ 13u
43
+ ··· + 7082u + 793)
15
V. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
, c
5
1
(1 2y + y
2
+ 15y
3
+ 29y
4
+ 40y
5
+ 40y
6
+ 32y
7
+ 19y
8
+ 10y
9
+ 3y
10
+ y
11
)
4
(y
12
+ 5y
11
+ ··· + 9y + 1)(y
25
+ 8y
24
+ ··· + 92y 16)
c
2
1
(1 + 6y 3y
2
+ 87y
3
+ 189y
4
+ 168y
5
+ 148y
6
+ 160y
7
+ 119y
8
+ 50y
9
+ 11y
10
+ y
11
)
4
(y
12
+ 9y
11
+ ··· 11y + 1)(y
25
+ 20y
24
+ ··· + 34416y 256)
c
3
, c
8
(y
12
+ 14y
11
+ ··· + 14y + 1)(y
25
+ 22y
24
+ ··· y 1)
(y
44
+ 39y
43
+ ··· 72y + 1)
c
4
, c
10
(y
12
+ 14y
11
+ ··· + 14y + 1)(y
25
+ 22y
24
+ ··· y 1)
(y
44
+ 39y
43
+ ··· 72y + 1)
c
6
(y
12
+ 9y
11
+ ··· 11y + 1)(y
25
+ 20y
24
+ ··· + 34416y 256)
(y
44
+ 44y
43
+ ··· 24y + 1)
c
7
(y
2
+ y + 1)
22
(y
12
+ 4y
11
+ ··· + 2y + 1)
(y
25
+ 5y
24
+ ··· 6291456y 4194304)
c
9
(y
12
+ 2y
11
+ ··· + 4y + 1)(y
25
+ 10y
24
+ ··· + y 1)
(y
44
+ 19y
43
+ ··· + 14956920y + 628849)
c
11
(y
12
+ 2y
11
+ ··· + 4y + 1)(y
25
+ 10y
24
+ ··· + y 1)
(y
44
+ 19y
43
+ ··· + 14956920y + 628849)
16