11a
290
(K11a
290
)
1
Arc Sequences
6 9 1 7 2 10 11 3 5 4 8
Solving Sequence
2,9 3,5
6 10 7 1 4 8 11
c
2
c
5
c
9
c
6
c
1
c
4
c
8
c
11
c
3
, c
7
, c
10
Representation Ideals
I =
2
\
i=1
I
u
i
I
u
1
= hu
16
u
15
+ 4u
14
2u
13
+ 6u
12
4u
11
+ 6u
10
7u
9
+ 5u
8
2u
7
+ 13u
6
+ 13u
5
+ 20u
4
+ 14u
3
+ 9u
2
+ 3u + 1,
227u
15
235u
14
+ ··· + 883b 1966, 7914u
15
35148u
14
+ ··· + 16777a 84058i
I
u
2
= hu
86
+ 28u
84
+ ··· 558u + 43,
1.84724 × 10
213
u
85
+ 1.97680 × 10
212
u
84
+ ··· + 1.12592 × 10
212
b + 2.51395 × 10
214
,
1.43066 × 10
215
u
85
9.60941 × 10
213
u
84
+ ··· + 4.84147 × 10
213
a 1.67644 × 10
216
i
There are 2 irreducible components with 102 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
u
15
+ · · · + 3u + 1, 227u
15
235u
14
+ · · · + 883b
1966, 7914u
15
35148u
14
+ · · · + 16777a 84058i
(i) Arc colorings
a
2
=
1
0
a
9
=
0.471717u
15
+ 2.09501u
14
+ ··· + 10.1220u + 5.01031
0.257078u
15
+ 0.266138u
14
+ ··· + 5.43148u + 2.22650
a
3
=
2.43321u
15
+ 2.74280u
14
+ ··· 6.61072u + 2.24247
u
15
+ u
14
+ ··· 3u
2
+ 1
a
5
=
0
u
a
6
=
u
u
a
10
=
0.471717u
15
+ 2.09501u
14
+ ··· + 10.1220u + 5.01031
0.640043u
15
0.123860u
14
+ ··· + 9.82965u + 3.84979
a
7
=
0.525124u
15
0.676402u
14
+ ··· 2.89372u 2.93288
0.393336u
15
+ 0.0104906u
14
+ ··· 0.436967u 0.676402
a
1
=
u
2
+ 1
u
2
a
4
=
1.88860u
15
+ 2.14663u
14
+ ··· 6.53943u + 1.09120
1.36347u
15
+ 1.47023u
14
+ ··· 0.433153u + 1.15831
a
8
=
2.67843u
15
+ 2.35423u
14
+ ··· 13.6812u 2.49920
2.46319u
15
+ 3.38392u
14
+ ··· 1.15629u + 1.17780
a
11
=
3.44519u
15
3.98707u
14
+ ··· + 13.3874u + 1.82512
1.03892u
15
+ 0.778625u
14
+ ··· 1.72218u 0.771830
a
11
=
3.44519u
15
3.98707u
14
+ ··· + 13.3874u + 1.82512
1.03892u
15
+ 0.778625u
14
+ ··· 1.72218u 0.771830
(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 = 0.761615 0.708206I
a = 0.083349 + 0.592965I
b = 0.021984 + 0.564934I
0.61323 + 2.78453I 4.10721 5.83574I
u = 0.761615 + 0.708206I
a = 0.083349 0.592965I
b = 0.021984 0.564934I
0.61323 2.78453I 4.10721 + 5.83574I
u = 0.487953 0.407538I
a = 0.684011 + 0.989829I
b = 0.132204 + 0.702423I
0.59940 + 2.95194I 3.83398 7.26920I
u = 0.487953 + 0.407538I
a = 0.684011 0.989829I
b = 0.132204 0.702423I
0.59940 2.95194I 3.83398 + 7.26920I
u = 0.425355 0.816659I
a = 0.497300 1.014901I
b = 0.336771 + 0.246995I
3.30428 + 2.37215I 2.07418 4.57437I
u = 0.425355 + 0.816659I
a = 0.497300 + 1.014901I
b = 0.336771 0.246995I
3.30428 2.37215I 2.07418 + 4.57437I
u = 0.073329 0.541610I
a = 0.42320 3.13257I
b = 0.378111 0.978487I
4.37357 + 6.52510I 1.74145 8.04405I
u = 0.073329 + 0.541610I
a = 0.42320 + 3.13257I
b = 0.378111 + 0.978487I
4.37357 6.52510I 1.74145 + 8.04405I
u = 0.045764 1.056208I
a = 0.521680 + 0.056450I
b = 2.22322 + 1.25773I
4.75104 0.34808I 9.6091 17.4795I
u = 0.045764 + 1.056208I
a = 0.521680 0.056450I
b = 2.22322 1.25773I
4.75104 + 0.34808I 9.6091 + 17.4795I
3
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.33437 1.38072I
a = 1.067502 + 0.711427I
b = 0.352631 1.343289I
8.53798 7.71046I 6.07633 + 6.67688I
u = 0.33437 + 1.38072I
a = 1.067502 0.711427I
b = 0.352631 + 1.343289I
8.53798 + 7.71046I 6.07633 6.67688I
u = 0.73097 1.35093I
a = 0.975586 + 0.258185I
b = 0.179458 + 1.283900I
8.08336 3.63657I 2.99708 + 2.92692I
u = 0.73097 + 1.35093I
a = 0.975586 0.258185I
b = 0.179458 1.283900I
8.08336 + 3.63657I 2.99708 2.92692I
u = 1.228673 0.432911I
a = 0.395471 + 0.413165I
b = 0.018830 + 1.228112I
1.77120 2.90292I 2.29428 + 12.81390I
u = 1.228673 + 0.432911I
a = 0.395471 0.413165I
b = 0.018830 1.228112I
1.77120 + 2.90292I 2.29428 12.81390I
4
II. I
u
2
= hu
86
+ 28u
84
+ · · · 558u + 43, 1.85 × 10
213
u
85
+ 1.98 ×
10
212
u
84
+ · · · + 1.13 × 10
212
b + 2.51 × 10
214
, 1.43 × 10
215
u
85
9.61 ×
10
213
u
84
+ · · · + 4.84 × 10
213
a 1.68 × 10
216
i
(i) Arc colorings
a
2
=
1
0
a
9
=
29.5502u
85
+ 1.98481u
84
+ ··· 5594.38u + 346.267
16.4064u
85
1.75572u
84
+ ··· + 3460.34u 223.279
a
3
=
7.03050u
85
2.46256u
84
+ ··· + 2063.67u 143.018
1.22951u
85
6.62550u
84
+ ··· + 3197.16u 254.215
a
5
=
0
u
a
6
=
u
u
a
10
=
29.5502u
85
+ 1.98481u
84
+ ··· 5594.38u + 346.267
17.5338u
85
7.52231u
84
+ ··· + 1082.15u 137.932
a
7
=
2.02256u
85
2.97391u
84
+ ··· + 1153.91u 101.086
6.86446u
85
5.28095u
84
+ ··· + 1569.03u 144.188
a
1
=
u
2
+ 1
u
2
a
4
=
8.33605u
85
0.716638u
84
+ ··· + 1420.40u 88.5044
7.46175u
85
5.36087u
84
+ ··· + 3783.30u 274.911
a
8
=
7.78248u
85
+ 10.7514u
84
+ ··· 6627.06u + 489.264
4.25892u
85
8.25590u
84
+ ··· + 4612.41u 347.988
a
11
=
1.19291u
85
6.45466u
84
+ ··· + 2672.78u 221.057
10.2597u
85
+ 7.60433u
84
+ ··· 2006.34u + 187.176
a
11
=
1.19291u
85
6.45466u
84
+ ··· + 2672.78u 221.057
10.2597u
85
+ 7.60433u
84
+ ··· 2006.34u + 187.176
(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 = 1.371904 0.103900I
a = 0.155477 + 0.754372I
b = 0.159848 + 1.234047I
1.05879 4.77375I 0.11683 + 8.21426I
u = 1.371904 + 0.103900I
a = 0.155477 0.754372I
b = 0.159848 1.234047I
1.05879 + 4.77375I 0.11683 8.21426I
u = 1.225801 0.072859I
a = 0.356312 0.930550I
b = 0.32019 1.40690I
6.75829 10.98078I 1.30442 + 6.89269I
u = 1.225801 + 0.072859I
a = 0.356312 + 0.930550I
b = 0.32019 + 1.40690I
6.75829 + 10.98078I 1.30442 6.89269I
u = 1.043668 0.552437I
a = 0.422498 1.044598I
b = 0.176487 1.270571I
6.11732 + 3.95002I 1.89606 6.52179I
u = 1.043668 + 0.552437I
a = 0.422498 + 1.044598I
b = 0.176487 + 1.270571I
6.11732 3.95002I 1.89606 + 6.52179I
u = 0.898880 0.683918I
a = 0.270158 + 0.220060I
b = 0.102691 0.229037I
1.09250 + 2.96405I 12.5613 9.8421I
u = 0.898880 + 0.683918I
a = 0.270158 0.220060I
b = 0.102691 + 0.229037I
1.09250 2.96405I 12.5613 + 9.8421I
u = 0.83796 1.48737I
a = 0.802232 0.244695I
b = 0.179144 1.277073I
8.41301 + 3.69610I 21.7934 7.9796I
u = 0.83796 + 1.48737I
a = 0.802232 + 0.244695I
b = 0.179144 + 1.277073I
8.41301 3.69610I 21.7934 + 7.9796I
6
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.677470 0.043888I
a = 1.054436 0.048386I
b = 0.531703 + 0.023026I
1.105699 + 0.002392I 9.73011 + 0.07496I
u = 0.677470 + 0.043888I
a = 1.054436 + 0.048386I
b = 0.531703 0.023026I
1.105699 0.002392I 9.73011 0.07496I
u = 0.60345 1.42770I
a = 1.056733 0.070666I
b = 0.42393 + 1.40684I
5.44322 + 11.59019I 0.22237 8.38584I
u = 0.60345 + 1.42770I
a = 1.056733 + 0.070666I
b = 0.42393 1.40684I
5.44322 11.59019I 0.22237 + 8.38584I
u = 0.590173 0.816881I
a = 0.318240 + 0.868516I
b = 0.086601 + 0.438946I
0.92382 + 2.38456I 6.67469 + 4.68387I
u = 0.590173 + 0.816881I
a = 0.318240 0.868516I
b = 0.086601 0.438946I
0.92382 2.38456I 6.67469 4.68387I
u = 0.59006 1.38905I
a = 1.219284 + 0.112835I
b = 0.47210 1.56780I
10.9523 + 17.3442I 2.84132 8.63061I
u = 0.59006 + 1.38905I
a = 1.219284 0.112835I
b = 0.47210 + 1.56780I
10.9523 17.3442I 2.84132 + 8.63061I
u = 0.472121 1.150992I
a = 0.598321 + 0.227039I
b = 0.714002 0.312630I
2.08518 + 4.50257I 1.84178 8.26392I
u = 0.472121 + 1.150992I
a = 0.598321 0.227039I
b = 0.714002 + 0.312630I
2.08518 4.50257I 1.84178 + 8.26392I
7
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.43425 1.53897I
a = 0.624446 0.041177I
b = 0.019101 + 1.401047I
12.14742 4.74643I 5.60639 + 3.73153I
u = 0.43425 + 1.53897I
a = 0.624446 + 0.041177I
b = 0.019101 1.401047I
12.14742 + 4.74643I 5.60639 3.73153I
u = 0.416327 0.832614I
a = 1.033597 + 0.281734I
b = 0.538060 + 0.526043I
0.75640 + 1.97088I 6.98873 3.30851I
u = 0.416327 + 0.832614I
a = 1.033597 0.281734I
b = 0.538060 0.526043I
0.75640 1.97088I 6.98873 + 3.30851I
u = 0.414687 0.836442I
a = 0.02469 1.80893I
b = 0.674546 0.412385I
3.09982 + 3.89257I 0.11000 7.60203I
u = 0.414687 + 0.836442I
a = 0.02469 + 1.80893I
b = 0.674546 + 0.412385I
3.09982 3.89257I 0.11000 + 7.60203I
u = 0.31957 1.56887I
a = 0.643851 + 0.129511I
b = 0.261605 1.326885I
7.29801 + 1.70122I 7.81516 + 2.22973I
u = 0.31957 + 1.56887I
a = 0.643851 0.129511I
b = 0.261605 + 1.326885I
7.29801 1.70122I 7.81516 2.22973I
u = 0.30166 1.40852I
a = 0.753175 0.174175I
b = 0.45071 + 1.62342I
12.3927 + 8.1607I 6.36197 5.50755I
u = 0.30166 + 1.40852I
a = 0.753175 + 0.174175I
b = 0.45071 1.62342I
12.3927 8.1607I 6.36197 + 5.50755I
8
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.176471 0.796902I
a = 1.78319 + 0.53325I
b = 0.791405 0.487265I
2.76919 0.86190I 2.48800 + 0.79362I
u = 0.176471 + 0.796902I
a = 1.78319 0.53325I
b = 0.791405 + 0.487265I
2.76919 + 0.86190I 2.48800 0.79362I
u = 0.088188 1.153446I
a = 0.789812 + 0.321501I
b = 0.796875 + 0.085423I
2.78970 + 1.91473I 0.14583 3.13596I
u = 0.088188 + 1.153446I
a = 0.789812 0.321501I
b = 0.796875 0.085423I
2.78970 1.91473I 0.14583 + 3.13596I
u = 0.072665 1.004207I
a = 0.362898 0.418650I
b = 2.79686 + 0.72592I
4.97029 0.39838I 20.3226 21.2708I
u = 0.072665 + 1.004207I
a = 0.362898 + 0.418650I
b = 2.79686 0.72592I
4.97029 + 0.39838I 20.3226 + 21.2708I
u = 0.003349 1.290414I
a = 0.904001 0.456554I
b = 0.077135 0.222987I
6.67412 + 4.74942I 4.72582 5.55088I
u = 0.003349 + 1.290414I
a = 0.904001 + 0.456554I
b = 0.077135 + 0.222987I
6.67412 4.74942I 4.72582 + 5.55088I
u = 0.0426813 0.1283239I
a = 4.34140 + 4.79964I
b = 0.714469 0.107760I
2.61985 1.17605I 1.036569 + 0.187938I
u = 0.0426813 + 0.1283239I
a = 4.34140 4.79964I
b = 0.714469 + 0.107760I
2.61985 + 1.17605I 1.036569 0.187938I
9
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.045174 1.060190I
a = 0.641022 + 0.270076I
b = 0.66832 1.87320I
4.31969 0.37021I 2.74067 3.11098I
u = 0.045174 + 1.060190I
a = 0.641022 0.270076I
b = 0.66832 + 1.87320I
4.31969 + 0.37021I 2.74067 + 3.11098I
u = 0.109699 1.037279I
a = 0.075262 + 0.678065I
b = 0.62650 1.36361I
3.91481 + 0.17244I 2.40628 + 0.92361I
u = 0.109699 + 1.037279I
a = 0.075262 0.678065I
b = 0.62650 + 1.36361I
3.91481 0.17244I 2.40628 0.92361I
u = 0.110874 1.089878I
a = 1.58183 0.43553I
b = 0.148079 + 1.400726I
9.95220 0.65712I 6.99959 0.10132I
u = 0.110874 + 1.089878I
a = 1.58183 + 0.43553I
b = 0.148079 1.400726I
9.95220 + 0.65712I 6.99959 + 0.10132I
u = 0.113725 1.064061I
a = 0.32571 + 2.25322I
b = 0.246587 1.249729I
5.93474 7.14233I 2.64081 + 6.48910I
u = 0.113725 + 1.064061I
a = 0.32571 2.25322I
b = 0.246587 + 1.249729I
5.93474 + 7.14233I 2.64081 6.48910I
u = 0.119574 1.052106I
a = 0.02566 1.65957I
b = 0.054741 + 1.153842I
1.32630 3.41399I 1.48737 + 4.76783I
u = 0.119574 + 1.052106I
a = 0.02566 + 1.65957I
b = 0.054741 1.153842I
1.32630 + 3.41399I 1.48737 4.76783I
10
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.184332 0.437485I
a = 1.335323 + 0.341015I
b = 0.433257 + 0.809408I
0.18140 + 1.93771I 1.59406 1.02707I
u = 0.184332 + 0.437485I
a = 1.335323 0.341015I
b = 0.433257 0.809408I
0.18140 1.93771I 1.59406 + 1.02707I
u = 0.200801 0.661210I
a = 1.03291 1.43278I
b = 0.526037 1.072217I
4.76421 + 5.78091I 3.26098 0.44165I
u = 0.200801 + 0.661210I
a = 1.03291 + 1.43278I
b = 0.526037 + 1.072217I
4.76421 5.78091I 3.26098 + 0.44165I
u = 0.354521 1.348505I
a = 1.48936 + 0.48179I
b = 0.078198 1.275434I
10.13014 5.46901I 6.66572 + 5.41172I
u = 0.354521 + 1.348505I
a = 1.48936 0.48179I
b = 0.078198 + 1.275434I
10.13014 + 5.46901I 6.66572 5.41172I
u = 0.363451 1.148076I
a = 0.980075 + 0.397799I
b = 0.439430 0.147669I
4.80669 1.43419I 5.07531 + 5.47709I
u = 0.363451 + 1.148076I
a = 0.980075 0.397799I
b = 0.439430 + 0.147669I
4.80669 + 1.43419I 5.07531 5.47709I
u = 0.384724 1.167243I
a = 0.936946 + 0.087081I
b = 1.058501 0.166799I
0.44655 6.40335I 2.14454 + 7.02506I
u = 0.384724 + 1.167243I
a = 0.936946 0.087081I
b = 1.058501 + 0.166799I
0.44655 + 6.40335I 2.14454 7.02506I
11
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.414651 1.174810I
a = 1.034607 0.275306I
b = 1.280747 + 0.519114I
4.46055 11.18417I 1.30197 + 9.10978I
u = 0.414651 + 1.174810I
a = 1.034607 + 0.275306I
b = 1.280747 0.519114I
4.46055 + 11.18417I 1.30197 9.10978I
u = 0.428512 1.305690I
a = 1.316314 0.284166I
b = 0.378360 + 1.326519I
6.77744 6.30203I 1.74361 + 5.32894I
u = 0.428512 + 1.305690I
a = 1.316314 + 0.284166I
b = 0.378360 1.326519I
6.77744 + 6.30203I 1.74361 5.32894I
u = 0.464293 1.266196I
a = 1.383771 + 0.197955I
b = 0.59453 1.60446I
11.17033 7.76159I 6.60929 + 5.98930I
u = 0.464293 + 1.266196I
a = 1.383771 0.197955I
b = 0.59453 + 1.60446I
11.17033 + 7.76159I 6.60929 5.98930I
u = 0.47939 1.46461I
a = 0.894038 0.505683I
b = 0.27512 + 1.42570I
7.64272 8.09055I 1.70549 + 9.82828I
u = 0.47939 + 1.46461I
a = 0.894038 + 0.505683I
b = 0.27512 1.42570I
7.64272 + 8.09055I 1.70549 9.82828I
u = 0.550954 1.178572I
a = 1.032693 + 0.306243I
b = 0.00350 + 1.52364I
10.65740 1.60329I 6.40803 + 1.36583I
u = 0.550954 + 1.178572I
a = 1.032693 0.306243I
b = 0.00350 1.52364I
10.65740 + 1.60329I 6.40803 1.36583I
12
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.585323 0.305477I
a = 1.42711 + 0.63177I
b = 0.26743 + 1.43796I
5.18226 1.85610I 0.99539 + 2.64658I
u = 0.585323 + 0.305477I
a = 1.42711 0.63177I
b = 0.26743 1.43796I
5.18226 + 1.85610I 0.99539 2.64658I
u = 0.62071 1.36597I
a = 0.830722 + 0.118040I
b = 0.18402 1.40665I
5.12935 4.31635I 2.02590 + 5.02570I
u = 0.62071 + 1.36597I
a = 0.830722 0.118040I
b = 0.18402 + 1.40665I
5.12935 + 4.31635I 2.02590 5.02570I
u = 0.674909 0.297545I
a = 0.670593 1.155578I
b = 0.491963 + 0.128609I
2.29978 + 2.36466I 8.84869 2.14342I
u = 0.674909 + 0.297545I
a = 0.670593 + 1.155578I
b = 0.491963 0.128609I
2.29978 2.36466I 8.84869 + 2.14342I
u = 0.725573 0.219124I
a = 0.91812 + 1.30741I
b = 0.822552 + 0.231435I
1.52512 + 6.90858I 3.48753 5.41149I
u = 0.725573 + 0.219124I
a = 0.91812 1.30741I
b = 0.822552 0.231435I
1.52512 6.90858I 3.48753 + 5.41149I
u = 0.729471 0.142215I
a = 0.873503 0.946093I
b = 0.079218 1.178318I
2.46468 1.92737I 2.41058 + 2.87768I
u = 0.729471 + 0.142215I
a = 0.873503 + 0.946093I
b = 0.079218 + 1.178318I
2.46468 + 1.92737I 2.41058 2.87768I
13
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.750237 0.353855I
a = 0.553538 + 0.172927I
b = 0.273563 0.969299I
1.75556 2.96398I 2.82161 + 4.93207I
u = 0.750237 + 0.353855I
a = 0.553538 0.172927I
b = 0.273563 + 0.969299I
1.75556 + 2.96398I 2.82161 4.93207I
u = 0.833294 0.003827I
a = 0.50951 1.41374I
b = 0.35726 1.39065I
7.36616 + 3.03836I 3.31324 3.10065I
u = 0.833294 + 0.003827I
a = 0.50951 + 1.41374I
b = 0.35726 + 1.39065I
7.36616 3.03836I 3.31324 + 3.10065I
u = 1.251788 0.400798I
a = 0.209192 0.391098I
b = 0.029748 1.211969I
1.72544 2.47755I 3.47157 4.71967I
u = 1.251788 + 0.400798I
a = 0.209192 + 0.391098I
b = 0.029748 + 1.211969I
1.72544 + 2.47755I 3.47157 + 4.71967I
14
III. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u
16
u
15
+ ··· + 3u + 1)(u
86
+ 28u
84
+ ··· + 558u + 43)
c
2
(u
16
+ 4u
15
+ ··· 3u + 1)(u
86
+ 3u
85
+ ··· 1252u + 181)
c
3
(u
16
+ 3u
15
+ ··· 6u + 1)(u
86
+ 10u
85
+ ··· + 377377u + 57122)
c
4
(u
16
+ 2u
15
+ ··· u + 1)(u
86
+ 9u
85
+ ··· + 6249u + 722)
c
5
(u
16
+ u
15
+ ··· 3u + 1)(u
86
+ 28u
84
+ ··· + 558u + 43)
c
6
(u
16
3u
15
+ ··· 2u + 1)(u
86
+ 2u
85
+ ··· 31u + 1)
c
7
(u
16
+ 3u
15
+ ··· 4u + 3)(u
86
+ 2u
85
+ ··· 15u + 1)
c
8
(u
16
4u
15
+ ··· + 3u + 1)(u
86
+ 3u
85
+ ··· 1252u + 181)
c
9
(u
16
+ u
15
+ ··· 2u + 1)(u
86
+ 18u
84
+ ··· + 257661u + 27211)
c
10
(u
16
3u
15
+ ··· + 4u + 1)(u
86
+ 2u
85
+ ··· + 11u + 1)
c
11
(u
16
3u
15
+ ··· + 4u + 3)(u
86
+ 2u
85
+ ··· 15u + 1)
15
IV. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
, c
5
(y
16
+ 7y
15
+ ··· + 9y + 1)(y
86
+ 56y
85
+ ··· + 192768y + 1849)
c
2
(y
16
+ 6y
15
+ ··· + 11y + 1)(y
86
+ 67y
85
+ ··· + 1561986y + 32761)
c
3
(y
16
13y
15
+ ··· 34y + 1)
(y
86
40y
85
+ ··· 106949549161y + 3262922884)
c
4
(y
16
+ 14y
14
+ ··· + 9y + 1)
(y
86
+ 21y
85
+ ··· + 18203155y + 521284)
c
6
(y
16
+ y
15
+ ··· 8y + 1)(y
86
+ 2y
85
+ ··· 173y + 1)
c
7
(y
16
15y
15
+ ··· 52y + 9)(y
86
70y
85
+ ··· + 163y + 1)
c
8
(y
16
+ 6y
15
+ ··· + 11y + 1)(y
86
+ 67y
85
+ ··· + 1561986y + 32761)
c
9
(y
16
y
15
+ ··· + 8y + 1)
(y
86
+ 36y
85
+ ··· 1107389665y + 740438521)
c
10
(y
16
11y
15
+ ··· + 6y + 1)(y
86
18y
85
+ ··· 43y + 1)
c
11
(y
16
15y
15
+ ··· 52y + 9)(y
86
70y
85
+ ··· + 163y + 1)
16