11a
116
(K11a
116
)
1
Arc Sequences
5 1 9 7 2 10 3 11 4 6 8
Solving Sequence
1,5
2 3
6,8
7 4 11 9 10
c
1
c
2
c
5
c
7
c
4
c
11
c
8
c
10
c
3
, c
6
, c
9
Representation Ideals
I =
2
\
i=1
I
u
i
I
u
1
= hu
16
4u
14
+ 10u
12
16u
10
+ u
9
+ 21u
8
19u
6
2u
5
+ 11u
4
+ u
3
4u
2
+ 1,
u
15
+ 4u
13
u
12
10u
11
+ 4u
10
+ 15u
9
10u
8
18u
7
+ 12u
6
+ 13u
5
11u
4
6u
3
+ 7u
2
+ b + 2u 2,
4u
15
+ 2u
14
+ ··· + a 3i
I
u
2
= hu
84
5u
83
+ ··· + 84u 17,
3.00006 × 10
116
u
83
6.80069 × 10
116
u
82
+ ··· + 1.41969 × 10
116
b 5.82904 × 10
117
,
2.28133 × 10
118
u
83
+ 8.84656 × 10
118
u
82
+ ··· + 2.41347 × 10
117
a 2.50578 × 10
119
i
There are 2 irreducible components with 100 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
16
4u
14
+· · · 4u
2
+1, u
15
+4u
13
+· · · +b2, 4u
15
+2u
14
+· · · +a3i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
3
=
u
2
+ 1
u
2
a
6
=
u
u
3
+ u
a
8
=
4u
15
2u
14
+ ··· 8u + 3
u
15
4u
13
+ ··· 2u + 2
a
7
=
3u
15
2u
14
+ ··· 5u + 2
2u
15
u
14
+ ··· 2u + 3
a
4
=
4u
15
+ 3u
14
+ ··· + 5u 3
u
11
+ u
10
+ 3u
9
4u
8
5u
7
+ 8u
6
+ 4u
5
10u
4
3u
3
+ 8u
2
+ u 2
a
11
=
4u
15
+ 2u
14
+ ··· + u 2
u
14
3u
12
+ 6u
10
+ u
9
7u
8
2u
7
+ 9u
6
+ 6u
5
6u
4
6u
3
+ 2u
2
+ 2u
a
9
=
u
15
u
14
+ ··· 3u + 4
2u
15
u
14
+ ··· + 4u
3
+ u
2
a
10
=
2u
15
+ 7u
13
+ ··· u
2
u
u
15
+ 2u
14
+ ··· + 4u
2
+ 2u
a
10
=
2u
15
+ 7u
13
+ ··· u
2
u
u
15
+ 2u
14
+ ··· + 4u
2
+ 2u
(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 = 1.043812 0.383036I
a = 0.141538 + 1.091565I
b = 0.247994 + 0.520970I
6.09539 5.48551I 15.0605 + 7.1946I
u = 1.043812 + 0.383036I
a = 0.141538 1.091565I
b = 0.247994 0.520970I
6.09539 + 5.48551I 15.0605 7.1946I
u = 0.956828 0.652363I
a = 1.05291 + 1.74822I
b = 0.85612 1.30516I
1.84373 6.50590I 4.33080 + 8.06359I
u = 0.956828 + 0.652363I
a = 1.05291 1.74822I
b = 0.85612 + 1.30516I
1.84373 + 6.50590I 4.33080 8.06359I
u = 0.743083 0.662007I
a = 1.10772 1.11669I
b = 0.68673 + 1.45406I
2.51186 + 1.38116I 1.59506 3.07074I
u = 0.743083 + 0.662007I
a = 1.10772 + 1.11669I
b = 0.68673 1.45406I
2.51186 1.38116I 1.59506 + 3.07074I
u = 0.731255 0.295921I
a = 2.09759 1.66067I
b = 0.399130 0.560216I
4.84776 + 2.55983I 14.7658 4.1285I
u = 0.731255 + 0.295921I
a = 2.09759 + 1.66067I
b = 0.399130 + 0.560216I
4.84776 2.55983I 14.7658 + 4.1285I
u = 0.489877 0.414849I
a = 1.23723 2.02758I
b = 0.214471 + 1.388329I
1.19758 + 2.88706I 9.08478 2.57984I
u = 0.489877 + 0.414849I
a = 1.23723 + 2.02758I
b = 0.214471 1.388329I
1.19758 2.88706I 9.08478 + 2.57984I
3
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.807009 0.916229I
a = 0.14430 + 1.70974I
b = 0.240373 0.893634I
2.15077 + 4.46693I 9.53645 8.11349I
u = 0.807009 + 0.916229I
a = 0.14430 1.70974I
b = 0.240373 + 0.893634I
2.15077 4.46693I 9.53645 + 8.11349I
u = 0.885879 0.145084I
a = 0.298457 0.589537I
b = 0.592866 0.819454I
1.41793 1.66100I 14.4564 + 2.0605I
u = 0.885879 + 0.145084I
a = 0.298457 + 0.589537I
b = 0.592866 + 0.819454I
1.41793 + 1.66100I 14.4564 2.0605I
u = 1.292213 0.554134I
a = 0.619476 0.381495I
b = 0.037307 + 0.762535I
4.20079 + 2.10743I 7.17016 5.74785I
u = 1.292213 + 0.554134I
a = 0.619476 + 0.381495I
b = 0.037307 0.762535I
4.20079 2.10743I 7.17016 + 5.74785I
4
II. I
u
2
= hu
84
5u
83
+ · · · + 84u 17, 3.00 × 10
116
u
83
6.80 × 10
116
u
82
+
· · · + 1.42 × 10
116
b 5.83 × 10
117
, 2.28 × 10
118
u
83
+ 8.85 × 10
118
u
82
+ · · · +
2.41 × 10
117
a 2.51 × 10
119
i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
3
=
u
2
+ 1
u
2
a
6
=
u
u
3
+ u
a
8
=
9.45248u
83
36.6550u
82
+ ··· 485.532u + 103.825
2.11318u
83
+ 4.79027u
82
+ ··· 94.7799u + 41.0586
a
7
=
7.48664u
83
30.4435u
82
+ ··· 470.700u + 107.907
3.18690u
83
+ 11.1199u
82
+ ··· + 76.7100u 4.10517
a
4
=
2.35529u
83
10.5702u
82
+ ··· 179.463u + 31.5654
6.32184u
83
+ 25.6009u
82
+ ··· + 384.645u 88.1719
a
11
=
2.19228u
83
+ 8.56750u
82
+ ··· + 103.363u 13.1483
2.18637u
83
10.0740u
82
+ ··· 193.104u + 50.8633
a
9
=
5.09729u
83
+ 19.6966u
82
+ ··· + 234.342u 37.5811
1.58854u
83
2.48611u
82
+ ··· + 94.3251u 33.4791
a
10
=
1.48871u
83
5.29073u
82
+ ··· 48.2350u + 12.4535
2.48559u
83
14.1259u
82
+ ··· 360.853u + 102.556
a
10
=
1.48871u
83
5.29073u
82
+ ··· 48.2350u + 12.4535
2.48559u
83
14.1259u
82
+ ··· 360.853u + 102.556
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
5
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.315356 0.063866I
a = 0.374103 + 0.149155I
b = 0.583906 1.040756I
8.01674 8.52986I 12.7026 + 6.9220I
u = 1.315356 + 0.063866I
a = 0.374103 0.149155I
b = 0.583906 + 1.040756I
8.01674 + 8.52986I 12.7026 6.9220I
u = 1.151248 0.708883I
a = 1.04101 1.44139I
b = 0.472819 + 1.330064I
1.84085 10.83500I 6.82534 + 8.25488I
u = 1.151248 + 0.708883I
a = 1.04101 + 1.44139I
b = 0.472819 1.330064I
1.84085 + 10.83500I 6.82534 8.25488I
u = 1.140200 0.448126I
a = 0.650913 + 0.755668I
b = 0.174963 + 0.798938I
5.41622 4.47785I 10.45797 + 2.38893I
u = 1.140200 + 0.448126I
a = 0.650913 0.755668I
b = 0.174963 0.798938I
5.41622 + 4.47785I 10.45797 2.38893I
u = 1.131213 0.112806I
a = 0.733591 + 0.853437I
b = 0.905943 0.572167I
9.57353 + 3.10518I 15.5481 1.1215I
u = 1.131213 + 0.112806I
a = 0.733591 0.853437I
b = 0.905943 + 0.572167I
9.57353 3.10518I 15.5481 + 1.1215I
u = 1.056954 0.545848I
a = 0.208689 0.551098I
b = 1.020057 + 0.148712I
2.67134 5.68638I 9.28283 + 6.03203I
u = 1.056954 + 0.545848I
a = 0.208689 + 0.551098I
b = 1.020057 0.148712I
2.67134 + 5.68638I 9.28283 6.03203I
6
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.049434 0.693298I
a = 1.32203 + 1.27305I
b = 0.376111 1.147868I
4.46403 6.01634I 2.45151 + 3.40874I
u = 1.049434 + 0.693298I
a = 1.32203 1.27305I
b = 0.376111 + 1.147868I
4.46403 + 6.01634I 2.45151 3.40874I
u = 1.046439 0.103775I
a = 0.681099 0.610527I
b = 0.332202 1.081847I
2.03076 + 3.48760I 11.21893 4.87765I
u = 1.046439 + 0.103775I
a = 0.681099 + 0.610527I
b = 0.332202 + 1.081847I
2.03076 3.48760I 11.21893 + 4.87765I
u = 0.971423
a = 1.33586
b = 0.757439
5.46066 16.9087
u = 0.942860 0.714978I
a = 0.78435 + 1.79433I
b = 1.03147 1.21286I
0.59518 6.86334I 9.64440 + 7.55709I
u = 0.942860 + 0.714978I
a = 0.78435 1.79433I
b = 1.03147 + 1.21286I
0.59518 + 6.86334I 9.64440 7.55709I
u = 0.935408 0.527321I
a = 0.86462 + 2.90843I
b = 0.207875 1.010243I
4.63959 6.23446I 9.98798 + 7.46006I
u = 0.935408 + 0.527321I
a = 0.86462 2.90843I
b = 0.207875 + 1.010243I
4.63959 + 6.23446I 9.98798 7.46006I
u = 0.914999 0.533114I
a = 1.51015 1.36327I
b = 0.73110 + 1.33781I
0.92165 4.97911I 8.41760 + 5.12177I
7
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.914999 + 0.533114I
a = 1.51015 + 1.36327I
b = 0.73110 1.33781I
0.92165 + 4.97911I 8.41760 5.12177I
u = 0.838743 0.586229I
a = 0.283784 + 0.310721I
b = 0.589308 + 0.180708I
1.63611 2.33220I 2.37027 + 3.97647I
u = 0.838743 + 0.586229I
a = 0.283784 0.310721I
b = 0.589308 0.180708I
1.63611 + 2.33220I 2.37027 3.97647I
u = 0.813349 0.501390I
a = 0.766920 + 1.077029I
b = 0.55474 1.54764I
1.29451 + 0.79166I 8.58724 + 0.74302I
u = 0.813349 + 0.501390I
a = 0.766920 1.077029I
b = 0.55474 + 1.54764I
1.29451 0.79166I 8.58724 0.74302I
u = 0.768826 0.492020I
a = 2.46598 2.55062I
b = 0.012025 + 0.813250I
4.06248 + 2.06222I 7.24265 + 0.44542I
u = 0.768826 + 0.492020I
a = 2.46598 + 2.55062I
b = 0.012025 0.813250I
4.06248 2.06222I 7.24265 0.44542I
u = 0.763420 0.761760I
a = 0.973936 0.865621I
b = 0.85674 + 1.29167I
1.14157 + 1.26918I 8.63454 0.96883I
u = 0.763420 + 0.761760I
a = 0.973936 + 0.865621I
b = 0.85674 1.29167I
1.14157 1.26918I 8.63454 + 0.96883I
u = 0.664677 0.252947I
a = 0.205579 0.749494I
b = 0.732836 0.736371I
0.78313 + 1.64097I 1.66824 0.93836I
8
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.664677 + 0.252947I
a = 0.205579 + 0.749494I
b = 0.732836 + 0.736371I
0.78313 1.64097I 1.66824 + 0.93836I
u = 0.614279 0.844816I
a = 0.06379 1.49673I
b = 0.219292 + 1.201959I
5.79981 + 0.28419I 0.44004 + 1.72905I
u = 0.614279 + 0.844816I
a = 0.06379 + 1.49673I
b = 0.219292 1.201959I
5.79981 0.28419I 0.44004 1.72905I
u = 0.481764 1.013273I
a = 0.35439 + 1.57120I
b = 0.323971 1.259514I
3.90791 + 4.63787I 3.86788 5.87328I
u = 0.481764 + 1.013273I
a = 0.35439 1.57120I
b = 0.323971 + 1.259514I
3.90791 4.63787I 3.86788 + 5.87328I
u = 0.186177 0.504914I
a = 0.700709 0.678816I
b = 0.526788 0.321365I
0.67069 + 1.40506I 6.14953 4.21758I
u = 0.186177 + 0.504914I
a = 0.700709 + 0.678816I
b = 0.526788 + 0.321365I
0.67069 1.40506I 6.14953 + 4.21758I
u = 0.089516 0.711684I
a = 0.174468 + 0.352691I
b = 0.325409 0.982794I
2.36639 + 0.26933I 7.90830 + 0.43010I
u = 0.089516 + 0.711684I
a = 0.174468 0.352691I
b = 0.325409 + 0.982794I
2.36639 0.26933I 7.90830 0.43010I
u = 0.228391 0.589108I
a = 0.05996 + 1.99843I
b = 0.234801 1.210160I
2.17927 + 2.72756I 0.28263 2.49984I
9
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.228391 + 0.589108I
a = 0.05996 1.99843I
b = 0.234801 + 1.210160I
2.17927 2.72756I 0.28263 + 2.49984I
u = 0.471917 0.702478I
a = 0.572616 1.060121I
b = 1.144529 + 0.094381I
4.65745 5.03247I 9.49279 + 3.83658I
u = 0.471917 + 0.702478I
a = 0.572616 + 1.060121I
b = 1.144529 0.094381I
4.65745 + 5.03247I 9.49279 3.83658I
u = 0.476265 1.137205I
a = 0.061878 1.260733I
b = 0.227503 + 0.997805I
1.16692 + 5.02448I 5.97428 9.80375I
u = 0.476265 + 1.137205I
a = 0.061878 + 1.260733I
b = 0.227503 0.997805I
1.16692 5.02448I 5.97428 + 9.80375I
u = 0.488547 0.241932I
a = 1.66058 + 1.59540I
b = 0.692567 + 0.483700I
4.39462 + 4.01027I 12.15712 6.29625I
u = 0.488547 + 0.241932I
a = 1.66058 1.59540I
b = 0.692567 0.483700I
4.39462 4.01027I 12.15712 + 6.29625I
u = 0.516212 0.960636I
a = 0.42670 + 1.54053I
b = 0.57898 1.31209I
0.87258 11.01472I 7.03755 + 5.74789I
u = 0.516212 + 0.960636I
a = 0.42670 1.54053I
b = 0.57898 + 1.31209I
0.87258 + 11.01472I 7.03755 5.74789I
u = 0.521170 0.758710I
a = 0.03417 1.68577I
b = 0.424961 + 1.276362I
3.02744 4.89516I 4.45221 + 3.85938I
10
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.521170 + 0.758710I
a = 0.03417 + 1.68577I
b = 0.424961 1.276362I
3.02744 + 4.89516I 4.45221 3.85938I
u = 0.596089 0.557713I
a = 0.347197 + 0.090408I
b = 0.773058 + 0.097107I
1.089045 0.486692I 7.73280 + 0.29333I
u = 0.596089 + 0.557713I
a = 0.347197 0.090408I
b = 0.773058 0.097107I
1.089045 + 0.486692I 7.73280 0.29333I
u = 0.701904
a = 0.582122
b = 0.199043
0.948107 10.6511
u = 0.798838 0.677298I
a = 1.19317 1.38455I
b = 0.34954 + 1.41280I
2.12448 0.03164I 5.68636 1.82196I
u = 0.798838 + 0.677298I
a = 1.19317 + 1.38455I
b = 0.34954 1.41280I
2.12448 + 0.03164I 5.68636 + 1.82196I
u = 0.845759 0.569884I
a = 1.65496 1.53990I
b = 0.147553 + 1.309787I
1.66836 + 0.23942I 5.08057 0.02824I
u = 0.845759 + 0.569884I
a = 1.65496 + 1.53990I
b = 0.147553 1.309787I
1.66836 0.23942I 5.08057 + 0.02824I
u = 0.848735 0.552750I
a = 0.80963 + 1.88902I
b = 0.03682 1.54888I
1.67908 + 4.25752I 5.76821 6.98563I
u = 0.848735 + 0.552750I
a = 0.80963 1.88902I
b = 0.03682 + 1.54888I
1.67908 4.25752I 5.76821 + 6.98563I
11
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.886751 0.914091I
a = 0.71937 + 1.38169I
b = 0.068110 0.784716I
2.24639 + 3.36926I 9.82605 2.17894I
u = 0.886751 + 0.914091I
a = 0.71937 1.38169I
b = 0.068110 + 0.784716I
2.24639 3.36926I 9.82605 + 2.17894I
u = 0.909276 0.647697I
a = 0.98702 + 1.94972I
b = 0.58065 1.37768I
1.77553 + 5.16233I 5.67766 3.16569I
u = 0.909276 + 0.647697I
a = 0.98702 1.94972I
b = 0.58065 + 1.37768I
1.77553 5.16233I 5.67766 + 3.16569I
u = 0.924233 0.381001I
a = 1.189090 + 0.186102I
b = 0.584907 0.883967I
5.50829 1.23925I 14.2731 0.5680I
u = 0.924233 + 0.381001I
a = 1.189090 0.186102I
b = 0.584907 + 0.883967I
5.50829 + 1.23925I 14.2731 + 0.5680I
u = 0.961253 0.594515I
a = 0.251395 + 0.984707I
b = 0.850842 + 0.051552I
2.09802 + 5.16082I 9.86972 5.73300I
u = 0.961253 + 0.594515I
a = 0.251395 0.984707I
b = 0.850842 0.051552I
2.09802 5.16082I 9.86972 + 5.73300I
u = 0.968420 0.136764I
a = 0.704553 + 0.369797I
b = 0.165468 + 0.727616I
0.639069 + 0.016973I 7.60329 0.83282I
u = 0.968420 + 0.136764I
a = 0.704553 0.369797I
b = 0.165468 0.727616I
0.639069 0.016973I 7.60329 + 0.83282I
12
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.061023 0.614747I
a = 0.288056 0.710613I
b = 1.345652 0.262453I
6.34457 + 10.11977I 11.44335 8.15345I
u = 1.061023 + 0.614747I
a = 0.288056 + 0.710613I
b = 1.345652 + 0.262453I
6.34457 10.11977I 11.44335 + 8.15345I
u = 1.066262 0.631314I
a = 1.69408 + 1.38250I
b = 0.521263 1.244828I
1.40099 + 10.18497I 7.77859 8.73916I
u = 1.066262 + 0.631314I
a = 1.69408 1.38250I
b = 0.521263 + 1.244828I
1.40099 10.18497I 7.77859 + 8.73916I
u = 1.096910 0.382434I
a = 1.061398 + 0.276192I
b = 0.531659 + 0.788541I
5.82688 + 3.28009I 14.0899 4.3200I
u = 1.096910 + 0.382434I
a = 1.061398 0.276192I
b = 0.531659 0.788541I
5.82688 3.28009I 14.0899 + 4.3200I
u = 1.134836 0.703653I
a = 1.17173 1.58065I
b = 0.67909 + 1.35235I
2.7877 + 17.0880I 9.17275 9.40572I
u = 1.134836 + 0.703653I
a = 1.17173 + 1.58065I
b = 0.67909 1.35235I
2.7877 17.0880I 9.17275 + 9.40572I
u = 1.14069 0.84432I
a = 0.51171 1.44701I
b = 0.239373 + 1.032901I
2.98338 + 3.56955I 13.36285 4.37782I
u = 1.14069 + 0.84432I
a = 0.51171 + 1.44701I
b = 0.239373 1.032901I
2.98338 3.56955I 13.36285 + 4.37782I
13
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.239176 0.296514I
a = 0.196626 + 0.608379I
b = 0.407542 0.459768I
4.43546 + 1.79841I 15.3051 0.8350I
u = 1.239176 + 0.296514I
a = 0.196626 0.608379I
b = 0.407542 + 0.459768I
4.43546 1.79841I 15.3051 + 0.8350I
u = 1.35887 0.47598I
a = 0.227188 + 0.474705I
b = 0.005261 0.633644I
4.54385 + 1.75387I 18.7473 + 3.9276I
u = 1.35887 + 0.47598I
a = 0.227188 0.474705I
b = 0.005261 + 0.633644I
4.54385 1.75387I 18.7473 3.9276I
14
III. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u
16
4u
14
+ ··· 4u
2
+ 1)(u
84
+ 5u
83
+ ··· 84u 17)
c
2
(u
16
+ 8u
15
+ ··· + 8u + 1)(u
84
+ 35u
83
+ ··· + 4574u + 289)
c
3
(u
16
8u
14
+ ··· + 4u + 1)(u
84
+ u
83
+ ··· + 344u 313)
c
4
(u
16
4u
15
+ ··· 2u + 1)(u
84
+ 3u
83
+ ··· + 36000u + 7373)
c
5
(u
16
4u
14
+ ··· 4u
2
+ 1)(u
84
+ 5u
83
+ ··· 84u 17)
c
6
(u
16
u
15
+ ··· + 3u + 1)(u
84
+ 2u
83
+ ··· 2657u + 1007)
c
7
(u
16
2u
14
+ ··· + 4u + 1)(u
84
+ u
83
+ ··· + 1236u 149)
c
8
(u
16
3u
15
+ ··· + u + 1)(u
84
+ 4u
83
+ ··· 943u + 169)
c
9
(u
16
8u
14
+ ··· 4u + 1)(u
84
+ u
83
+ ··· + 344u 313)
c
10
(u
16
+ u
15
+ ··· 3u + 1)(u
84
+ 2u
83
+ ··· 2657u + 1007)
c
11
(u
16
+ 3u
15
+ ··· u + 1)(u
84
+ 4u
83
+ ··· 943u + 169)
15
IV. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
, c
5
(y
16
8y
15
+ ··· 8y + 1)(y
84
35y
83
+ ··· 4574y + 289)
c
2
(y
16
+ 8y
15
+ ··· + 12y + 1)(y
84
+ 37y
83
+ ··· + 1003798y + 83521)
c
3
(y
16
16y
15
+ ··· 22y + 1)(y
84
63y
83
+ ··· 575316y + 97969)
c
4
(y
16
+ 8y
14
+ ··· + 18y
2
+ 1)
(y
84
23y
83
+ ··· 1969346598y + 54361129)
c
6
, c
10
(y
16
+ 13y
15
+ ··· + 13y + 1)
(y
84
+ 58y
83
+ ··· 14592009y + 1014049)
c
7
(y
16
4y
15
+ ··· 6y + 1)(y
84
+ 9y
83
+ ··· 735016y + 22201)
c
8
, c
11
(y
16
+ 13y
15
+ ··· + 13y + 1)(y
84
+ 54y
83
+ ··· 133481y + 28561)
c
9
(y
16
16y
15
+ ··· 22y + 1)(y
84
63y
83
+ ··· 575316y + 97969)
16