12a
1189
(K12a
1189
)
A knot diagram
1
Linearized knot diagam
4 10 11 8 12 3 2 1 5 7 6 9
Solving Sequence
1,8 5,9
10 4 2 3 7 12 6 11
c
8
c
9
c
4
c
1
c
2
c
7
c
12
c
5
c
11
c
3
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.99880 × 10
1071
u
178
1.17856 × 10
1071
u
177
+ ··· + 3.13143 × 10
1072
b + 1.70801 × 10
1074
,
8.49503 × 10
1072
u
178
+ 4.90132 × 10
1073
u
177
+ ··· + 5.72157 × 10
1074
a 8.86831 × 10
1076
,
u
179
+ 73u
177
+ ··· 29822u 1279i
I
u
2
= h−4.84269 × 10
37
u
45
1.67034 × 10
37
u
44
+ ··· + 5.81192 × 10
37
b + 3.05918 × 10
38
,
1.74495 × 10
39
u
45
+ 8.54988 × 10
38
u
44
+ ··· + 9.88026 × 10
38
a 3.34655 × 10
39
, u
46
+ u
45
+ ··· 15u + 17i
* 2 irreducible components of dim
C
= 0, with total 225 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−3.00 × 10
1071
u
178
1.18 × 10
1071
u
177
+ · · · + 3.13 × 10
1072
b +
1.71 × 10
1074
, 8.50 × 10
1072
u
178
+ 4.90 × 10
1073
u
177
+ · · · + 5.72 × 10
1074
a
8.87 × 10
1076
, u
179
+ 73u
177
+ · · · 29822u 1279i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
0.0148474u
178
0.0856639u
177
+ ··· + 3341.59u + 154.998
0.0957646u
178
+ 0.0376364u
177
+ ··· 1370.56u 54.5443
a
9
=
1
u
2
a
10
=
0.367758u
178
0.176251u
177
+ ··· + 2593.38u + 125.913
0.123380u
178
+ 0.116169u
177
+ ··· 1613.41u 73.8663
a
4
=
0.0809172u
178
0.0480275u
177
+ ··· + 1971.02u + 100.454
0.0957646u
178
+ 0.0376364u
177
+ ··· 1370.56u 54.5443
a
2
=
0.0368696u
178
+ 0.211587u
177
+ ··· 4548.32u 222.936
0.0742994u
178
0.0962500u
177
+ ··· + 1794.54u + 81.1635
a
3
=
0.147173u
178
0.293767u
177
+ ··· + 6717.13u + 252.200
0.110671u
178
+ 0.0320006u
177
+ ··· 894.570u 33.8387
a
7
=
0.143066u
178
+ 0.119170u
177
+ ··· 2663.65u 100.286
0.0915930u
178
+ 0.0127491u
177
+ ··· 904.549u 38.0392
a
12
=
u
u
3
+ u
a
6
=
0.0668388u
178
0.0538365u
177
+ ··· + 2403.04u + 118.319
0.0567337u
178
+ 0.0421875u
177
+ ··· 1255.47u 50.5159
a
11
=
0.122140u
178
+ 0.0869151u
177
+ ··· 1281.44u 18.3700
0.0298642u
178
+ 0.0769529u
177
+ ··· 1595.47u 68.8104
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.555247u
178
+ 1.26086u
177
+ ··· 26877.2u 1134.04
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
179
+ 3u
178
+ ··· + 5846731u + 1313576
c
2
u
179
+ 4u
178
+ ··· + 36391u + 11019
c
3
u
179
+ 25u
177
+ ··· 341620u + 43669
c
4
u
179
u
178
+ ··· + 5u + 1
c
5
, c
11
u
179
u
178
+ ··· 21986697u + 1238227
c
6
u
179
2u
178
+ ··· 146753u + 4679
c
7
u
179
2u
178
+ ··· + 20083300u + 2036725
c
8
, c
12
u
179
+ 73u
177
+ ··· 29822u + 1279
c
9
u
179
u
178
+ ··· 191134085123u + 17016804162
c
10
u
179
7u
178
+ ··· + 57u + 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
179
+ 29y
178
+ ··· + 37780934306137y 1725481907776
c
2
y
179
+ 8y
178
+ ··· + 5723288023y 121418361
c
3
y
179
+ 50y
178
+ ··· 139738921270y 1906981561
c
4
y
179
+ 17y
178
+ ··· 429y 1
c
5
, c
11
y
179
+ 151y
178
+ ··· + 108984338877843y 1533206103529
c
6
y
179
+ 40y
178
+ ··· + 4864670035y 21893041
c
7
y
179
+ 62y
178
+ ··· 224749595737250y 4148248725625
c
8
, c
12
y
179
+ 146y
178
+ ··· + 119524142y 1635841
c
9
y
179
+ 87y
178
+ ··· 4.54 × 10
21
y 2.90 × 10
20
c
10
y
179
+ 13y
178
+ ··· 615y 16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.998280 + 0.070214I
a = 0.204320 + 0.216189I
b = 0.828235 + 0.365604I
3.69915 2.13626I 0
u = 0.998280 0.070214I
a = 0.204320 0.216189I
b = 0.828235 0.365604I
3.69915 + 2.13626I 0
u = 0.203391 + 0.977006I
a = 0.75818 + 1.94321I
b = 0.328121 0.205351I
0.76644 + 6.70484I 0
u = 0.203391 0.977006I
a = 0.75818 1.94321I
b = 0.328121 + 0.205351I
0.76644 6.70484I 0
u = 0.625829 + 0.796750I
a = 1.162870 0.699282I
b = 0.657821 0.037010I
0.14305 2.48684I 0
u = 0.625829 0.796750I
a = 1.162870 + 0.699282I
b = 0.657821 + 0.037010I
0.14305 + 2.48684I 0
u = 0.844809 + 0.481059I
a = 0.112688 0.317881I
b = 1.095970 + 0.680098I
1.42232 + 5.50398I 0
u = 0.844809 0.481059I
a = 0.112688 + 0.317881I
b = 1.095970 0.680098I
1.42232 5.50398I 0
u = 0.943635 + 0.028748I
a = 0.104136 + 0.225943I
b = 0.923089 + 0.734300I
2.98651 9.84844I 0
u = 0.943635 0.028748I
a = 0.104136 0.225943I
b = 0.923089 0.734300I
2.98651 + 9.84844I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.290224 + 1.030880I
a = 0.37203 + 2.63842I
b = 0.258940 0.074070I
4.41541 10.41770I 0
u = 0.290224 1.030880I
a = 0.37203 2.63842I
b = 0.258940 + 0.074070I
4.41541 + 10.41770I 0
u = 0.138430 + 1.078030I
a = 0.06314 1.47184I
b = 1.17336 + 1.00087I
1.99950 + 3.54359I 0
u = 0.138430 1.078030I
a = 0.06314 + 1.47184I
b = 1.17336 1.00087I
1.99950 3.54359I 0
u = 0.372417 + 0.815265I
a = 0.519155 0.487549I
b = 1.095430 + 0.156344I
1.97343 + 2.95696I 0
u = 0.372417 0.815265I
a = 0.519155 + 0.487549I
b = 1.095430 0.156344I
1.97343 2.95696I 0
u = 0.890167 + 0.076860I
a = 0.521445 + 0.218787I
b = 0.885195 0.800858I
0.71037 + 2.97355I 0
u = 0.890167 0.076860I
a = 0.521445 0.218787I
b = 0.885195 + 0.800858I
0.71037 2.97355I 0
u = 0.782405 + 0.424071I
a = 0.480978 0.907026I
b = 0.808448 0.228556I
1.179990 0.329076I 0
u = 0.782405 0.424071I
a = 0.480978 + 0.907026I
b = 0.808448 + 0.228556I
1.179990 + 0.329076I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.006310 + 1.112580I
a = 0.308509 + 1.086530I
b = 0.206645 0.801155I
2.54569 1.54986I 0
u = 0.006310 1.112580I
a = 0.308509 1.086530I
b = 0.206645 + 0.801155I
2.54569 + 1.54986I 0
u = 0.216435 + 1.099000I
a = 0.50639 + 2.07951I
b = 1.40103 1.83182I
1.29206 5.74333I 0
u = 0.216435 1.099000I
a = 0.50639 2.07951I
b = 1.40103 + 1.83182I
1.29206 + 5.74333I 0
u = 1.088110 + 0.266292I
a = 0.006643 + 0.193021I
b = 0.847155 0.701964I
3.54219 + 7.00380I 0
u = 1.088110 0.266292I
a = 0.006643 0.193021I
b = 0.847155 + 0.701964I
3.54219 7.00380I 0
u = 0.018113 + 1.129000I
a = 0.613434 0.794980I
b = 1.105060 + 0.461681I
2.53352 + 3.03096I 0
u = 0.018113 1.129000I
a = 0.613434 + 0.794980I
b = 1.105060 0.461681I
2.53352 3.03096I 0
u = 0.888857 + 0.699512I
a = 0.960511 0.010202I
b = 0.564599 + 0.295250I
1.74555 + 3.46899I 0
u = 0.888857 0.699512I
a = 0.960511 + 0.010202I
b = 0.564599 0.295250I
1.74555 3.46899I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.074897 + 1.144160I
a = 0.01616 2.27465I
b = 0.49613 + 2.17691I
2.28209 + 3.73578I 0
u = 0.074897 1.144160I
a = 0.01616 + 2.27465I
b = 0.49613 2.17691I
2.28209 3.73578I 0
u = 0.194250 + 1.155580I
a = 0.42104 1.89422I
b = 1.10300 + 1.17132I
0.00825 + 3.71965I 0
u = 0.194250 1.155580I
a = 0.42104 + 1.89422I
b = 1.10300 1.17132I
0.00825 3.71965I 0
u = 0.826046 + 0.000663I
a = 0.023868 + 0.148020I
b = 0.994024 0.482209I
3.45729 0.07241I 0
u = 0.826046 0.000663I
a = 0.023868 0.148020I
b = 0.994024 + 0.482209I
3.45729 + 0.07241I 0
u = 1.159600 + 0.191919I
a = 0.121254 + 0.287426I
b = 0.413498 0.567229I
4.65237 + 1.13699I 0
u = 1.159600 0.191919I
a = 0.121254 0.287426I
b = 0.413498 + 0.567229I
4.65237 1.13699I 0
u = 0.145521 + 0.809666I
a = 1.42063 + 0.66833I
b = 0.369397 0.675864I
1.19068 2.43159I 0
u = 0.145521 0.809666I
a = 1.42063 0.66833I
b = 0.369397 + 0.675864I
1.19068 + 2.43159I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.210116 + 1.160010I
a = 0.82802 + 1.54617I
b = 1.45093 1.05280I
0.00427 2.20221I 0
u = 0.210116 1.160010I
a = 0.82802 1.54617I
b = 1.45093 + 1.05280I
0.00427 + 2.20221I 0
u = 0.023813 + 1.191270I
a = 1.06050 + 2.25117I
b = 0.509622 0.755946I
6.40961 + 8.79257I 0
u = 0.023813 1.191270I
a = 1.06050 2.25117I
b = 0.509622 + 0.755946I
6.40961 8.79257I 0
u = 0.017408 + 1.204010I
a = 0.422614 1.333090I
b = 1.52675 + 0.83299I
6.26412 2.13728I 0
u = 0.017408 1.204010I
a = 0.422614 + 1.333090I
b = 1.52675 0.83299I
6.26412 + 2.13728I 0
u = 0.621296 + 0.497334I
a = 0.685258 + 0.198504I
b = 0.909730 + 0.446928I
1.98136 4.27856I 0
u = 0.621296 0.497334I
a = 0.685258 0.198504I
b = 0.909730 0.446928I
1.98136 + 4.27856I 0
u = 0.779323 + 0.133995I
a = 0.027444 0.585367I
b = 0.862957 0.735222I
2.54274 3.40144I 0
u = 0.779323 0.133995I
a = 0.027444 + 0.585367I
b = 0.862957 + 0.735222I
2.54274 + 3.40144I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.785809 + 0.069975I
a = 0.410376 + 0.362473I
b = 0.775894 + 0.557055I
0.678724 + 1.153220I 0
u = 0.785809 0.069975I
a = 0.410376 0.362473I
b = 0.775894 0.557055I
0.678724 1.153220I 0
u = 0.631661 + 0.470397I
a = 1.64955 0.45249I
b = 0.822070 + 0.053916I
2.89936 + 6.75098I 0
u = 0.631661 0.470397I
a = 1.64955 + 0.45249I
b = 0.822070 0.053916I
2.89936 6.75098I 0
u = 0.584502 + 0.527544I
a = 1.359900 + 0.125024I
b = 0.949435 + 0.827786I
0.38675 + 2.66722I 0
u = 0.584502 0.527544I
a = 1.359900 0.125024I
b = 0.949435 0.827786I
0.38675 2.66722I 0
u = 0.383802 + 1.150470I
a = 0.47772 1.56105I
b = 0.39683 + 1.50899I
4.23779 + 6.18551I 0
u = 0.383802 1.150470I
a = 0.47772 + 1.56105I
b = 0.39683 1.50899I
4.23779 6.18551I 0
u = 1.187980 + 0.246415I
a = 0.100408 + 0.159658I
b = 0.904353 0.768967I
2.3271 14.9993I 0
u = 1.187980 0.246415I
a = 0.100408 0.159658I
b = 0.904353 + 0.768967I
2.3271 + 14.9993I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.249436 + 1.191870I
a = 0.77682 + 1.80243I
b = 0.612784 0.851292I
2.94167 7.34369I 0
u = 0.249436 1.191870I
a = 0.77682 1.80243I
b = 0.612784 + 0.851292I
2.94167 + 7.34369I 0
u = 0.483159 + 1.124930I
a = 0.179283 0.941424I
b = 0.413858 + 0.268609I
0.52339 3.21299I 0
u = 0.483159 1.124930I
a = 0.179283 + 0.941424I
b = 0.413858 0.268609I
0.52339 + 3.21299I 0
u = 0.194489 + 0.748093I
a = 0.32961 1.62739I
b = 0.448962 0.009640I
1.97376 0.12088I 0
u = 0.194489 0.748093I
a = 0.32961 + 1.62739I
b = 0.448962 + 0.009640I
1.97376 + 0.12088I 0
u = 0.113811 + 1.225650I
a = 0.04586 2.49718I
b = 0.325548 + 1.375430I
7.75387 + 2.04834I 0
u = 0.113811 1.225650I
a = 0.04586 + 2.49718I
b = 0.325548 1.375430I
7.75387 2.04834I 0
u = 0.107242 + 1.227000I
a = 0.91817 1.76488I
b = 1.35755 + 1.58563I
8.50074 + 3.17466I 0
u = 0.107242 1.227000I
a = 0.91817 + 1.76488I
b = 1.35755 1.58563I
8.50074 3.17466I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.635049 + 1.063310I
a = 0.377986 0.663571I
b = 0.0093248 0.0686050I
2.92788 + 2.78840I 0
u = 0.635049 1.063310I
a = 0.377986 + 0.663571I
b = 0.0093248 + 0.0686050I
2.92788 2.78840I 0
u = 0.022331 + 1.251760I
a = 0.875358 + 0.965655I
b = 1.92228 1.02277I
7.95765 3.75761I 0
u = 0.022331 1.251760I
a = 0.875358 0.965655I
b = 1.92228 + 1.02277I
7.95765 + 3.75761I 0
u = 0.114488 + 1.248380I
a = 0.20368 + 2.39590I
b = 0.095086 1.109260I
8.82921 0.06805I 0
u = 0.114488 1.248380I
a = 0.20368 2.39590I
b = 0.095086 + 1.109260I
8.82921 + 0.06805I 0
u = 0.365143 + 1.208030I
a = 0.589842 0.246454I
b = 0.257695 + 0.328767I
3.20830 2.72130I 0
u = 0.365143 1.208030I
a = 0.589842 + 0.246454I
b = 0.257695 0.328767I
3.20830 + 2.72130I 0
u = 0.185617 + 1.251140I
a = 0.774356 0.613941I
b = 1.43282 + 0.51073I
7.71028 + 0.74474I 0
u = 0.185617 1.251140I
a = 0.774356 + 0.613941I
b = 1.43282 0.51073I
7.71028 0.74474I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.103702 + 1.277190I
a = 1.003770 + 0.287151I
b = 0.417110 + 0.048559I
8.51114 + 4.80921I 0
u = 0.103702 1.277190I
a = 1.003770 0.287151I
b = 0.417110 0.048559I
8.51114 4.80921I 0
u = 0.170448 + 1.278170I
a = 0.389770 + 1.297600I
b = 0.330182 0.644056I
8.25077 + 4.62962I 0
u = 0.170448 1.278170I
a = 0.389770 1.297600I
b = 0.330182 + 0.644056I
8.25077 4.62962I 0
u = 0.397944 + 1.230100I
a = 0.23725 + 1.58258I
b = 1.04418 1.34440I
2.86710 5.49138I 0
u = 0.397944 1.230100I
a = 0.23725 1.58258I
b = 1.04418 + 1.34440I
2.86710 + 5.49138I 0
u = 0.446695 + 0.547985I
a = 0.261230 1.037440I
b = 0.096193 0.330347I
1.65076 + 0.00178I 0
u = 0.446695 0.547985I
a = 0.261230 + 1.037440I
b = 0.096193 + 0.330347I
1.65076 0.00178I 0
u = 0.366648 + 1.240290I
a = 0.11509 1.63909I
b = 1.27312 + 1.27248I
0.94882 + 7.57807I 0
u = 0.366648 1.240290I
a = 0.11509 + 1.63909I
b = 1.27312 1.27248I
0.94882 7.57807I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.643626 + 0.285842I
a = 0.613101 0.132101I
b = 0.072595 0.778572I
1.66696 2.04600I 0
u = 0.643626 0.285842I
a = 0.613101 + 0.132101I
b = 0.072595 + 0.778572I
1.66696 + 2.04600I 0
u = 0.242807 + 1.283280I
a = 0.24156 + 1.43134I
b = 0.626920 1.126360I
6.28019 + 0.85783I 0
u = 0.242807 1.283280I
a = 0.24156 1.43134I
b = 0.626920 + 1.126360I
6.28019 0.85783I 0
u = 0.410919 + 1.242810I
a = 0.30865 1.89714I
b = 0.863993 + 0.926733I
2.91836 7.61545I 0
u = 0.410919 1.242810I
a = 0.30865 + 1.89714I
b = 0.863993 0.926733I
2.91836 + 7.61545I 0
u = 0.155410 + 1.303880I
a = 0.67228 1.53393I
b = 1.11516 + 1.60434I
8.2513 11.5465I 0
u = 0.155410 1.303880I
a = 0.67228 + 1.53393I
b = 1.11516 1.60434I
8.2513 + 11.5465I 0
u = 0.201549 + 1.299930I
a = 0.101200 + 1.383800I
b = 0.423003 1.347180I
3.44395 2.18570I 0
u = 0.201549 1.299930I
a = 0.101200 1.383800I
b = 0.423003 + 1.347180I
3.44395 + 2.18570I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.304710 + 0.180077I
a = 0.163292 0.069937I
b = 0.723149 + 0.765600I
0.31743 5.99046I 0
u = 1.304710 0.180077I
a = 0.163292 + 0.069937I
b = 0.723149 0.765600I
0.31743 + 5.99046I 0
u = 0.090633 + 1.314910I
a = 0.43670 + 1.86425I
b = 0.77136 1.59838I
9.06702 + 0.85994I 0
u = 0.090633 1.314910I
a = 0.43670 1.86425I
b = 0.77136 + 1.59838I
9.06702 0.85994I 0
u = 0.090553 + 1.335030I
a = 0.452867 + 1.304370I
b = 1.06997 1.43960I
6.05699 3.39709I 0
u = 0.090553 1.335030I
a = 0.452867 1.304370I
b = 1.06997 + 1.43960I
6.05699 + 3.39709I 0
u = 0.384891 + 1.282870I
a = 0.21091 + 1.69027I
b = 0.96471 1.09154I
0.54498 4.43862I 0
u = 0.384891 1.282870I
a = 0.21091 1.69027I
b = 0.96471 + 1.09154I
0.54498 + 4.43862I 0
u = 0.139341 + 1.339880I
a = 0.843954 1.000690I
b = 0.006600 + 0.259961I
6.93368 + 2.60158I 0
u = 0.139341 1.339880I
a = 0.843954 + 1.000690I
b = 0.006600 0.259961I
6.93368 2.60158I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.439185 + 1.284530I
a = 0.16852 + 1.63813I
b = 1.22503 1.29989I
0.9410 + 14.7563I 0
u = 0.439185 1.284530I
a = 0.16852 1.63813I
b = 1.22503 + 1.29989I
0.9410 14.7563I 0
u = 0.034929 + 1.382310I
a = 0.355457 0.643970I
b = 1.32388 + 0.63484I
9.32991 + 5.01848I 0
u = 0.034929 1.382310I
a = 0.355457 + 0.643970I
b = 1.32388 0.63484I
9.32991 5.01848I 0
u = 0.463070 + 1.306100I
a = 0.064865 1.217200I
b = 1.119520 + 0.862680I
0.53708 7.30527I 0
u = 0.463070 1.306100I
a = 0.064865 + 1.217200I
b = 1.119520 0.862680I
0.53708 + 7.30527I 0
u = 0.609709 + 0.055814I
a = 0.136530 + 1.379740I
b = 0.674762 0.378146I
3.92673 + 2.05013I 0
u = 0.609709 0.055814I
a = 0.136530 1.379740I
b = 0.674762 + 0.378146I
3.92673 2.05013I 0
u = 0.257075 + 1.364150I
a = 0.56622 1.38757I
b = 1.43235 + 1.10842I
3.56575 7.27647I 0
u = 0.257075 1.364150I
a = 0.56622 + 1.38757I
b = 1.43235 1.10842I
3.56575 + 7.27647I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.378569 + 1.338160I
a = 0.435186 + 0.491855I
b = 0.795964 0.312266I
0.68573 4.16554I 0
u = 0.378569 1.338160I
a = 0.435186 0.491855I
b = 0.795964 + 0.312266I
0.68573 + 4.16554I 0
u = 1.298540 + 0.513967I
a = 0.064489 0.209489I
b = 0.855010 + 0.388559I
0.03462 + 4.26199I 0
u = 1.298540 0.513967I
a = 0.064489 + 0.209489I
b = 0.855010 0.388559I
0.03462 4.26199I 0
u = 0.30588 + 1.42139I
a = 0.398325 + 0.923794I
b = 0.371200 1.303650I
4.17498 1.59789I 0
u = 0.30588 1.42139I
a = 0.398325 0.923794I
b = 0.371200 + 1.303650I
4.17498 + 1.59789I 0
u = 0.49961 + 1.39030I
a = 0.220140 + 1.356470I
b = 0.771349 0.920223I
9.50488 + 6.74938I 0
u = 0.49961 1.39030I
a = 0.220140 1.356470I
b = 0.771349 + 0.920223I
9.50488 6.74938I 0
u = 0.33114 + 1.44257I
a = 0.17359 + 1.41406I
b = 0.545284 1.142050I
9.13491 + 5.48995I 0
u = 0.33114 1.44257I
a = 0.17359 1.41406I
b = 0.545284 + 1.142050I
9.13491 5.48995I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.093246 + 0.507658I
a = 1.64842 0.20794I
b = 1.047540 + 0.200219I
2.32298 4.61628I 0
u = 0.093246 0.507658I
a = 1.64842 + 0.20794I
b = 1.047540 0.200219I
2.32298 + 4.61628I 0
u = 0.45846 + 1.44016I
a = 0.13078 + 1.55658I
b = 1.07022 1.19387I
8.8716 + 12.4466I 0
u = 0.45846 1.44016I
a = 0.13078 1.55658I
b = 1.07022 + 1.19387I
8.8716 12.4466I 0
u = 1.51900 + 0.06359I
a = 0.0649271 0.0640506I
b = 0.002932 + 0.619160I
5.72325 5.31159I 0
u = 1.51900 0.06359I
a = 0.0649271 + 0.0640506I
b = 0.002932 0.619160I
5.72325 + 5.31159I 0
u = 0.399520 + 0.260760I
a = 0.133516 0.811184I
b = 1.091310 0.540982I
2.73427 1.28384I 10.88552 6.54893I
u = 0.399520 0.260760I
a = 0.133516 + 0.811184I
b = 1.091310 + 0.540982I
2.73427 + 1.28384I 10.88552 + 6.54893I
u = 0.433406 + 0.184226I
a = 0.521760 + 1.009030I
b = 1.300370 + 0.247196I
2.94009 + 4.85777I 11.97988 6.50743I
u = 0.433406 0.184226I
a = 0.521760 1.009030I
b = 1.300370 0.247196I
2.94009 4.85777I 11.97988 + 6.50743I
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.38357 + 1.49047I
a = 0.37168 1.52416I
b = 1.26676 + 1.14140I
7.62701 + 10.10910I 0
u = 0.38357 1.49047I
a = 0.37168 + 1.52416I
b = 1.26676 1.14140I
7.62701 10.10910I 0
u = 0.49491 + 1.46231I
a = 0.09508 + 1.50167I
b = 1.18822 1.15834I
7.6789 20.8785I 0
u = 0.49491 1.46231I
a = 0.09508 1.50167I
b = 1.18822 + 1.15834I
7.6789 + 20.8785I 0
u = 0.51872 + 1.46291I
a = 0.001229 1.358830I
b = 1.15596 + 1.11393I
5.54009 12.22370I 0
u = 0.51872 1.46291I
a = 0.001229 + 1.358830I
b = 1.15596 1.11393I
5.54009 + 12.22370I 0
u = 0.447734
a = 0.640594
b = 0.402420
0.864310 11.5170
u = 0.55341 + 1.45156I
a = 0.211448 0.981514I
b = 0.265708 + 0.968493I
8.99467 + 5.46938I 0
u = 0.55341 1.45156I
a = 0.211448 + 0.981514I
b = 0.265708 0.968493I
8.99467 5.46938I 0
u = 0.35214 + 1.53375I
a = 0.359554 0.232667I
b = 0.045673 + 0.396769I
1.73721 4.72813I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.35214 1.53375I
a = 0.359554 + 0.232667I
b = 0.045673 0.396769I
1.73721 + 4.72813I 0
u = 0.51799 + 1.49237I
a = 0.118693 1.159800I
b = 0.661464 + 1.224790I
11.1270 11.9955I 0
u = 0.51799 1.49237I
a = 0.118693 + 1.159800I
b = 0.661464 1.224790I
11.1270 + 11.9955I 0
u = 0.031765 + 0.416097I
a = 2.76429 1.19414I
b = 0.089787 0.577594I
0.62842 2.66552I 4.00579 + 2.58807I
u = 0.031765 0.416097I
a = 2.76429 + 1.19414I
b = 0.089787 + 0.577594I
0.62842 + 2.66552I 4.00579 2.58807I
u = 0.240198 + 0.338937I
a = 2.43410 + 0.81191I
b = 0.625335 0.605027I
3.51197 + 2.40698I 0.80229 5.49120I
u = 0.240198 0.338937I
a = 2.43410 0.81191I
b = 0.625335 + 0.605027I
3.51197 2.40698I 0.80229 + 5.49120I
u = 0.53323 + 1.51056I
a = 0.142604 + 1.071320I
b = 0.782093 1.045840I
10.99100 1.64523I 0
u = 0.53323 1.51056I
a = 0.142604 1.071320I
b = 0.782093 + 1.045840I
10.99100 + 1.64523I 0
u = 0.319298 + 0.207119I
a = 3.07842 0.99914I
b = 0.325177 + 0.936873I
3.61042 9.67396I 4.12093 + 6.33022I
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.319298 0.207119I
a = 3.07842 + 0.99914I
b = 0.325177 0.936873I
3.61042 + 9.67396I 4.12093 6.33022I
u = 0.50052 + 1.54688I
a = 0.222091 1.163020I
b = 1.16503 + 0.85712I
6.28451 + 10.54120I 0
u = 0.50052 1.54688I
a = 0.222091 + 1.163020I
b = 1.16503 0.85712I
6.28451 10.54120I 0
u = 0.306759 + 0.139588I
a = 1.47319 + 1.61825I
b = 0.234622 1.259470I
4.43980 0.52965I 1.67145 5.73714I
u = 0.306759 0.139588I
a = 1.47319 1.61825I
b = 0.234622 + 1.259470I
4.43980 + 0.52965I 1.67145 + 5.73714I
u = 0.324834 + 0.043379I
a = 2.55594 0.21697I
b = 0.133881 0.991505I
0.48447 4.94408I 7.56913 + 6.57049I
u = 0.324834 0.043379I
a = 2.55594 + 0.21697I
b = 0.133881 + 0.991505I
0.48447 + 4.94408I 7.56913 6.57049I
u = 0.324938 + 0.035219I
a = 1.18690 + 2.60542I
b = 0.474361 1.061070I
4.95498 1.64270I 0.04560 + 8.58397I
u = 0.324938 0.035219I
a = 1.18690 2.60542I
b = 0.474361 + 1.061070I
4.95498 + 1.64270I 0.04560 8.58397I
u = 0.50301 + 1.62307I
a = 0.071443 + 0.633607I
b = 0.212027 0.894000I
5.15575 1.52551I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.50301 1.62307I
a = 0.071443 0.633607I
b = 0.212027 + 0.894000I
5.15575 + 1.52551I 0
u = 0.27840 + 1.82173I
a = 0.468774 + 0.350549I
b = 0.700060 0.298099I
4.28005 + 6.63787I 0
u = 0.27840 1.82173I
a = 0.468774 0.350549I
b = 0.700060 + 0.298099I
4.28005 6.63787I 0
u = 0.1071980 + 0.0665947I
a = 7.90852 + 8.10695I
b = 0.579777 + 0.501459I
4.30159 + 3.83216I 4.17753 + 3.28369I
u = 0.1071980 0.0665947I
a = 7.90852 8.10695I
b = 0.579777 0.501459I
4.30159 3.83216I 4.17753 3.28369I
u = 0.88693 + 1.70717I
a = 0.159998 0.257897I
b = 0.074882 + 0.385192I
6.43245 + 0.46794I 0
u = 0.88693 1.70717I
a = 0.159998 + 0.257897I
b = 0.074882 0.385192I
6.43245 0.46794I 0
u = 1.10158 + 1.78633I
a = 0.167184 0.132960I
b = 0.118368 + 0.388366I
5.53618 + 7.13137I 0
u = 1.10158 1.78633I
a = 0.167184 + 0.132960I
b = 0.118368 0.388366I
5.53618 7.13137I 0
22
II. I
u
2
= h−4.84 × 10
37
u
45
1.67 × 10
37
u
44
+ · · · + 5.81 × 10
37
b + 3.06 ×
10
38
, 1.74 × 10
39
u
45
+ 8.55 × 10
38
u
44
+ · · · + 9.88 × 10
38
a 3.35 ×
10
39
, u
46
+ u
45
+ · · · 15u + 17i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
1.76610u
45
0.865349u
44
+ ··· 27.1471u + 3.38711
0.833234u
45
+ 0.287399u
44
+ ··· + 16.7662u 5.26362
a
9
=
1
u
2
a
10
=
1.43817u
45
+ 1.42819u
44
+ ··· + 12.7808u 2.18132
0.549856u
45
1.01154u
44
+ ··· + 4.33049u 7.51884
a
4
=
0.932866u
45
0.577950u
44
+ ··· 10.3809u 1.87652
0.833234u
45
+ 0.287399u
44
+ ··· + 16.7662u 5.26362
a
2
=
0.627399u
45
+ 1.38189u
44
+ ··· 4.11173u + 7.32639
0.0530489u
45
+ 0.262012u
44
+ ··· 6.60077u + 7.63109
a
3
=
2.28107u
45
+ 0.908212u
44
+ ··· + 31.8902u 6.48337
1.27369u
45
0.960422u
44
+ ··· 11.1214u + 3.60309
a
7
=
0.999033u
45
0.507507u
44
+ ··· 17.0493u + 6.38514
0.715675u
45
+ 0.492645u
44
+ ··· + 19.4988u 3.75157
a
12
=
u
u
3
+ u
a
6
=
1.62537u
45
0.154000u
44
+ ··· 32.7980u + 8.83228
0.257695u
45
0.919908u
44
+ ··· + 17.2820u 9.51889
a
11
=
0.130947u
45
+ 0.867637u
44
+ ··· 3.27412u + 11.2197
0.779485u
45
1.71494u
44
+ ··· + 9.13620u 20.6847
(ii) Obstruction class = 1
(iii) Cusp Shapes = 3.49374u
45
0.666137u
44
+ ··· 51.6295u + 80.6632
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
46
10u
45
+ ··· 12u + 5
c
2
u
46
+ u
45
+ ··· 2u + 1
c
3
u
46
+ u
45
+ ··· 9u + 1
c
4
u
46
+ 2u
45
+ ··· + 4u + 1
c
5
u
46
+ 18u
44
+ ··· 4u + 1
c
6
u
46
3u
45
+ ··· 6u + 1
c
7
u
46
u
45
+ ··· 5u + 1
c
8
u
46
+ u
45
+ ··· 15u + 17
c
9
u
46
+ 18u
44
+ ··· + 21u + 1
c
10
u
46
u
44
+ ··· 3u + 1
c
11
u
46
+ 18u
44
+ ··· + 4u + 1
c
12
u
46
u
45
+ ··· + 15u + 17
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
+ 2y
45
+ ··· + 86y + 25
c
2
y
46
+ 21y
45
+ ··· + 4y + 1
c
3
y
46
+ 31y
45
+ ··· 15y + 1
c
4
y
46
+ 10y
45
+ ··· + 16y + 1
c
5
, c
11
y
46
+ 36y
45
+ ··· 124y + 1
c
6
y
46
+ 9y
45
+ ··· + 28y
2
+ 1
c
7
y
46
+ 27y
45
+ ··· + 45y + 1
c
8
, c
12
y
46
+ 43y
45
+ ··· + 761y + 289
c
9
y
46
+ 36y
45
+ ··· + 139y + 1
c
10
y
46
2y
45
+ ··· + 11y + 1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.223161 + 1.037080I
a = 0.368712 + 1.193520I
b = 0.134601 1.341660I
1.25009 3.69630I 4.64083 + 6.19411I
u = 0.223161 1.037080I
a = 0.368712 1.193520I
b = 0.134601 + 1.341660I
1.25009 + 3.69630I 4.64083 6.19411I
u = 0.250991 + 1.053960I
a = 1.12540 2.73704I
b = 0.132515 + 0.738713I
5.02052 10.40650I 3.11487 + 10.24020I
u = 0.250991 1.053960I
a = 1.12540 + 2.73704I
b = 0.132515 0.738713I
5.02052 + 10.40650I 3.11487 10.24020I
u = 0.115902 + 1.085320I
a = 0.05415 2.31336I
b = 0.86041 + 1.78865I
1.71809 + 5.10243I 1.26332 6.20890I
u = 0.115902 1.085320I
a = 0.05415 + 2.31336I
b = 0.86041 1.78865I
1.71809 5.10243I 1.26332 + 6.20890I
u = 0.828572 + 0.717005I
a = 1.067220 + 0.220883I
b = 0.691685 0.130730I
1.28644 + 3.15826I 11.58903 1.22826I
u = 0.828572 0.717005I
a = 1.067220 0.220883I
b = 0.691685 + 0.130730I
1.28644 3.15826I 11.58903 + 1.22826I
u = 0.468667 + 0.710834I
a = 0.483149 + 0.672371I
b = 0.970232 0.263149I
2.30589 2.36967I 12.92574 + 0.51582I
u = 0.468667 0.710834I
a = 0.483149 0.672371I
b = 0.970232 + 0.263149I
2.30589 + 2.36967I 12.92574 0.51582I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.469923 + 0.674458I
a = 1.64032 + 0.05693I
b = 0.282210 0.576764I
4.63273 4.42952I 2.79341 + 7.29767I
u = 0.469923 0.674458I
a = 1.64032 0.05693I
b = 0.282210 + 0.576764I
4.63273 + 4.42952I 2.79341 7.29767I
u = 1.150660 + 0.415375I
a = 0.135961 + 0.191249I
b = 0.881731 0.614966I
0.70251 + 4.94486I 0
u = 1.150660 0.415375I
a = 0.135961 0.191249I
b = 0.881731 + 0.614966I
0.70251 4.94486I 0
u = 0.112964 + 1.219830I
a = 0.46593 1.87995I
b = 0.91353 + 1.33612I
8.03357 + 3.01728I 0
u = 0.112964 1.219830I
a = 0.46593 + 1.87995I
b = 0.91353 1.33612I
8.03357 3.01728I 0
u = 0.028174 + 1.246190I
a = 0.368690 0.772652I
b = 1.49757 + 0.73540I
7.63217 + 3.52333I 0
u = 0.028174 1.246190I
a = 0.368690 + 0.772652I
b = 1.49757 0.73540I
7.63217 3.52333I 0
u = 0.096804 + 1.250500I
a = 0.10094 + 2.48618I
b = 0.35301 1.39992I
7.94712 + 0.38549I 0
u = 0.096804 1.250500I
a = 0.10094 2.48618I
b = 0.35301 + 1.39992I
7.94712 0.38549I 0
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.470092 + 0.577864I
a = 2.08697 0.29062I
b = 0.596408 0.373381I
0.05543 3.51741I 9.80661 + 8.41145I
u = 0.470092 0.577864I
a = 2.08697 + 0.29062I
b = 0.596408 + 0.373381I
0.05543 + 3.51741I 9.80661 8.41145I
u = 0.349173 + 1.210350I
a = 0.30048 + 1.57899I
b = 1.15753 1.35239I
2.48280 5.85418I 0
u = 0.349173 1.210350I
a = 0.30048 1.57899I
b = 1.15753 + 1.35239I
2.48280 + 5.85418I 0
u = 0.355818 + 1.235540I
a = 0.13876 + 1.61934I
b = 0.973581 1.005470I
0.86459 6.07412I 0
u = 0.355818 1.235540I
a = 0.13876 1.61934I
b = 0.973581 + 1.005470I
0.86459 + 6.07412I 0
u = 0.676814 + 0.036574I
a = 0.474402 + 0.347448I
b = 0.875066 + 0.539978I
2.78999 + 2.06593I 11.46474 3.72622I
u = 0.676814 0.036574I
a = 0.474402 0.347448I
b = 0.875066 0.539978I
2.78999 2.06593I 11.46474 + 3.72622I
u = 0.072648 + 0.666820I
a = 0.630152 0.511575I
b = 1.192400 0.044916I
1.88745 + 5.02358I 2.19878 9.30472I
u = 0.072648 0.666820I
a = 0.630152 + 0.511575I
b = 1.192400 + 0.044916I
1.88745 5.02358I 2.19878 + 9.30472I
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.506942 + 0.379495I
a = 1.47492 + 0.55349I
b = 0.984417 + 0.694598I
0.38449 + 2.35124I 7.01272 + 5.44593I
u = 0.506942 0.379495I
a = 1.47492 0.55349I
b = 0.984417 0.694598I
0.38449 2.35124I 7.01272 5.44593I
u = 0.11063 + 1.47375I
a = 0.425127 0.447680I
b = 0.597164 + 0.215378I
1.12182 4.76151I 0
u = 0.11063 1.47375I
a = 0.425127 + 0.447680I
b = 0.597164 0.215378I
1.12182 + 4.76151I 0
u = 0.43117 + 1.41938I
a = 0.077335 1.187230I
b = 0.330859 + 0.950723I
8.42870 + 4.93111I 0
u = 0.43117 1.41938I
a = 0.077335 + 1.187230I
b = 0.330859 0.950723I
8.42870 4.93111I 0
u = 0.37828 + 1.43591I
a = 0.394028 0.829729I
b = 0.272875 + 1.233060I
4.24060 + 1.37765I 0
u = 0.37828 1.43591I
a = 0.394028 + 0.829729I
b = 0.272875 1.233060I
4.24060 1.37765I 0
u = 0.55804 + 1.43557I
a = 0.149122 0.295135I
b = 0.365558 + 0.055872I
6.10433 + 0.33728I 0
u = 0.55804 1.43557I
a = 0.149122 + 0.295135I
b = 0.365558 0.055872I
6.10433 0.33728I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.44640 + 1.52513I
a = 0.284884 + 1.298840I
b = 1.20551 1.00157I
6.93372 + 10.57190I 0
u = 0.44640 1.52513I
a = 0.284884 1.298840I
b = 1.20551 + 1.00157I
6.93372 10.57190I 0
u = 0.374889 + 0.078377I
a = 1.11389 1.51227I
b = 0.022127 + 1.141100I
4.36024 + 1.09175I 4.35566 5.06235I
u = 0.374889 0.078377I
a = 1.11389 + 1.51227I
b = 0.022127 1.141100I
4.36024 1.09175I 4.35566 + 5.06235I
u = 0.65863 + 1.59486I
a = 0.030167 0.253594I
b = 0.087969 0.167241I
5.28452 + 7.01439I 0
u = 0.65863 1.59486I
a = 0.030167 + 0.253594I
b = 0.087969 + 0.167241I
5.28452 7.01439I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
10u
45
+ ··· 12u + 5)
· (u
179
+ 3u
178
+ ··· + 5846731u + 1313576)
c
2
(u
46
+ u
45
+ ··· 2u + 1)(u
179
+ 4u
178
+ ··· + 36391u + 11019)
c
3
(u
46
+ u
45
+ ··· 9u + 1)(u
179
+ 25u
177
+ ··· 341620u + 43669)
c
4
(u
46
+ 2u
45
+ ··· + 4u + 1)(u
179
u
178
+ ··· + 5u + 1)
c
5
(u
46
+ 18u
44
+ ··· 4u + 1)
· (u
179
u
178
+ ··· 21986697u + 1238227)
c
6
(u
46
3u
45
+ ··· 6u + 1)(u
179
2u
178
+ ··· 146753u + 4679)
c
7
(u
46
u
45
+ ··· 5u + 1)(u
179
2u
178
+ ··· + 2.00833 × 10
7
u + 2036725)
c
8
(u
46
+ u
45
+ ··· 15u + 17)(u
179
+ 73u
177
+ ··· 29822u + 1279)
c
9
(u
46
+ 18u
44
+ ··· + 21u + 1)
· (u
179
u
178
+ ··· 191134085123u + 17016804162)
c
10
(u
46
u
44
+ ··· 3u + 1)(u
179
7u
178
+ ··· + 57u + 4)
c
11
(u
46
+ 18u
44
+ ··· + 4u + 1)
· (u
179
u
178
+ ··· 21986697u + 1238227)
c
12
(u
46
u
45
+ ··· + 15u + 17)(u
179
+ 73u
177
+ ··· 29822u + 1279)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
+ 2y
45
+ ··· + 86y + 25)
· (y
179
+ 29y
178
+ ··· + 37780934306137y 1725481907776)
c
2
(y
46
+ 21y
45
+ ··· + 4y + 1)
· (y
179
+ 8y
178
+ ··· + 5723288023y 121418361)
c
3
(y
46
+ 31y
45
+ ··· 15y + 1)
· (y
179
+ 50y
178
+ ··· 139738921270y 1906981561)
c
4
(y
46
+ 10y
45
+ ··· + 16y + 1)(y
179
+ 17y
178
+ ··· 429y 1)
c
5
, c
11
(y
46
+ 36y
45
+ ··· 124y + 1)
· (y
179
+ 151y
178
+ ··· + 108984338877843y 1533206103529)
c
6
(y
46
+ 9y
45
+ ··· + 28y
2
+ 1)
· (y
179
+ 40y
178
+ ··· + 4864670035y 21893041)
c
7
(y
46
+ 27y
45
+ ··· + 45y + 1)
· (y
179
+ 62y
178
+ ··· 224749595737250y 4148248725625)
c
8
, c
12
(y
46
+ 43y
45
+ ··· + 761y + 289)
· (y
179
+ 146y
178
+ ··· + 119524142y 1635841)
c
9
(y
46
+ 36y
45
+ ··· + 139y + 1)
· (y
179
+ 87y
178
+ ··· 4.54 × 10
21
y 2.90 × 10
20
)
c
10
(y
46
2y
45
+ ··· + 11y + 1)(y
179
+ 13y
178
+ ··· 615y 16)
34