12a
0473
(K12a
0473
)
A knot diagram
1
Linearized knot diagam
3 6 11 8 9 2 10 1 12 4 7 5
Solving Sequence
3,6
2 7
1,9
5 8 12 10 11 4
c
2
c
6
c
1
c
5
c
8
c
12
c
9
c
11
c
3
c
4
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.86496 × 10
672
u
197
− 1.78840 × 10
672
u
196
+ ··· + 1.18466 × 10
674
b + 1.78262 × 10
673
,
2.32687 × 10
674
u
197
+ 1.32190 × 10
674
u
196
+ ··· + 3.67245 × 10
675
a − 1.48014 × 10
676
,
u
198
+ u
197
+ ··· − 192u + 31i
I
u
2
= h2.58290 × 10
19
u
53
− 4.28590 × 10
19
u
52
+ ··· + 4.31513 × 10
17
b − 5.83347 × 10
19
,
8.59240 × 10
18
u
53
− 1.13894 × 10
19
u
52
+ ··· + 4.31513 × 10
17
a − 1.46351 × 10
19
, u
54
+ 17u
52
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 252 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−1.86 × 10
672
u
197
− 1.79 × 10
672
u
196
+ · · · + 1.18 × 10
674
b + 1.78 ×
10
673
, 2.33 × 10
674
u
197
+ 1.32 × 10
674
u
196
+ · · · + 3.67 × 10
675
a − 1.48 ×
10
676
, u
198
+ u
197
+ · · · − 192u + 31i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
−0.0633602u
197
− 0.0359951u
196
+ ··· − 20.8596u + 4.03040
0.0157425u
197
+ 0.0150963u
196
+ ··· + 1.94045u − 0.150475
a
5
=
0.0677733u
197
+ 0.0199501u
196
+ ··· + 12.6545u + 2.68158
0.0290733u
197
− 0.0351380u
196
+ ··· + 4.67340u − 0.710225
a
8
=
−0.0890583u
197
− 0.0497108u
196
+ ··· − 22.5654u + 4.17656
0.0107942u
197
+ 0.00368821u
196
+ ··· + 6.12461u − 0.722185
a
12
=
0.0763840u
197
+ 0.0798270u
196
+ ··· − 12.0972u + 3.22365
−0.00122873u
197
+ 0.0100622u
196
+ ··· − 1.09451u − 0.103854
a
10
=
−0.00431990u
197
− 0.0332907u
196
+ ··· + 25.9650u − 4.73282
0.0100152u
197
+ 0.0171788u
196
+ ··· + 3.05089u − 0.0709769
a
11
=
0.0633867u
197
+ 0.0532537u
196
+ ··· − 10.4494u + 3.07203
0.0124830u
197
+ 0.00627313u
196
+ ··· − 1.65043u + 0.165386
a
4
=
−0.0282330u
197
− 0.0610010u
196
+ ··· + 12.1616u − 1.21640
0.0156224u
197
+ 0.0148252u
196
+ ··· + 4.23594u − 0.550404
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0894793u
197
+ 0.286939u
196
+ ··· + 37.0328u − 5.55261
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
198
+ 103u
197
+ ··· + 17448u + 961
c
2
, c
6
u
198
− u
197
+ ··· + 192u + 31
c
3
, c
10
u
198
+ 67u
196
+ ··· + 33900u + 11483
c
4
u
198
− 50u
196
+ ··· − 3343620599276u + 329813696659
c
5
u
198
+ u
197
+ ··· − 152u + 137
c
7
u
198
+ 14u
197
+ ··· − 3767846u + 4507105
c
8
u
198
+ 5u
197
+ ··· − 13533u + 913
c
9
u
198
+ 14u
197
+ ··· + 1162822100u + 97402681
c
11
u
198
− 2u
197
+ ··· + 37555120u + 6187153
c
12
u
198
− 6u
197
+ ··· + 13u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
198
− 5y
197
+ ··· + 265997676y + 923521
c
2
, c
6
y
198
+ 103y
197
+ ··· + 17448y + 961
c
3
, c
10
y
198
+ 134y
197
+ ··· + 12295844278y + 131859289
c
4
y
198
− 100y
197
+ ··· − 9.00 × 10
24
y + 1.09 × 10
23
c
5
y
198
+ 25y
197
+ ··· + 1495404y + 18769
c
7
y
198
− 80y
197
+ ··· − 1202038047552706y + 20313995481025
c
8
y
198
− 45y
197
+ ··· + 443152173y + 833569
c
9
y
198
+ 44y
197
+ ··· + 370665595377026344y + 9487282265987761
c
11
y
198
− 56y
197
+ ··· + 6038753260673846y + 38280862245409
c
12
y
198
+ 32y
197
+ ··· + 265y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.824810 + 0.553156I
a = −0.69533 + 1.41516I
b = −0.284646 + 0.141860I
−3.58312 − 3.95709I 0
u = −0.824810 − 0.553156I
a = −0.69533 − 1.41516I
b = −0.284646 − 0.141860I
−3.58312 + 3.95709I 0
u = −0.963257 + 0.293593I
a = 0.70929 + 1.40633I
b = 1.339760 + 0.216023I
−4.5956 + 15.6769I 0
u = −0.963257 − 0.293593I
a = 0.70929 − 1.40633I
b = 1.339760 − 0.216023I
−4.5956 − 15.6769I 0
u = −0.729511 + 0.724454I
a = −1.066650 − 0.355340I
b = −1.09557 + 0.99016I
2.59433 − 0.83840I 0
u = −0.729511 − 0.724454I
a = −1.066650 + 0.355340I
b = −1.09557 − 0.99016I
2.59433 + 0.83840I 0
u = −0.381241 + 0.956773I
a = −0.555354 + 0.662424I
b = 0.563657 + 0.070525I
−0.93368 − 2.82399I 0
u = −0.381241 − 0.956773I
a = −0.555354 − 0.662424I
b = 0.563657 − 0.070525I
−0.93368 + 2.82399I 0
u = 0.877338 + 0.412580I
a = 0.47161 − 1.33895I
b = 1.232260 − 0.166680I
0.06938 − 4.33235I 0
u = 0.877338 − 0.412580I
a = 0.47161 + 1.33895I
b = 1.232260 + 0.166680I
0.06938 + 4.33235I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.222610 + 1.006240I
a = 0.406687 − 0.257500I
b = 3.08749 − 2.46706I
−8.49476 − 5.37600I 0
u = −0.222610 − 1.006240I
a = 0.406687 + 0.257500I
b = 3.08749 + 2.46706I
−8.49476 + 5.37600I 0
u = 0.802811 + 0.538722I
a = 1.188090 + 0.731574I
b = 1.260460 + 0.278506I
−4.06775 + 3.53850I 0
u = 0.802811 − 0.538722I
a = 1.188090 − 0.731574I
b = 1.260460 − 0.278506I
−4.06775 − 3.53850I 0
u = 0.255685 + 1.005100I
a = 0.738611 + 0.326309I
b = −1.114180 − 0.226089I
−4.83208 + 5.96241I 0
u = 0.255685 − 1.005100I
a = 0.738611 − 0.326309I
b = −1.114180 + 0.226089I
−4.83208 − 5.96241I 0
u = −0.254005 + 1.014770I
a = −0.786575 + 0.268218I
b = −1.25127 − 1.19822I
−8.14733 − 0.80174I 0
u = −0.254005 − 1.014770I
a = −0.786575 − 0.268218I
b = −1.25127 + 1.19822I
−8.14733 + 0.80174I 0
u = 0.236003 + 1.019580I
a = 1.123630 + 0.673011I
b = 1.44734 + 1.25988I
−4.68178 − 4.39747I 0
u = 0.236003 − 1.019580I
a = 1.123630 − 0.673011I
b = 1.44734 − 1.25988I
−4.68178 + 4.39747I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.132449 + 1.039490I
a = 0.915902 + 0.468946I
b = 1.76687 + 0.09225I
−4.76977 − 4.96050I 0
u = −0.132449 − 1.039490I
a = 0.915902 − 0.468946I
b = 1.76687 − 0.09225I
−4.76977 + 4.96050I 0
u = 0.614386 + 0.715810I
a = −0.378979 + 1.009620I
b = −1.56433 + 0.11301I
4.21166 − 0.54080I 0
u = 0.614386 − 0.715810I
a = −0.378979 − 1.009620I
b = −1.56433 − 0.11301I
4.21166 + 0.54080I 0
u = 0.594908 + 0.878745I
a = 1.032970 − 0.515434I
b = 1.30871 + 1.42246I
3.73146 + 5.29164I 0
u = 0.594908 − 0.878745I
a = 1.032970 + 0.515434I
b = 1.30871 − 1.42246I
3.73146 − 5.29164I 0
u = 1.039900 + 0.228021I
a = −0.226420 + 0.522952I
b = −0.478681 + 0.172308I
−3.45727 − 6.87757I 0
u = 1.039900 − 0.228021I
a = −0.226420 − 0.522952I
b = −0.478681 − 0.172308I
−3.45727 + 6.87757I 0
u = −0.737283 + 0.564655I
a = −1.52356 − 0.00658I
b = −0.924037 + 0.911189I
0.51049 − 3.80248I 0
u = −0.737283 − 0.564655I
a = −1.52356 + 0.00658I
b = −0.924037 − 0.911189I
0.51049 + 3.80248I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.416017 + 0.993053I
a = 0.720929 + 0.437955I
b = 1.166810 − 0.354621I
−3.38687 + 1.35108I 0
u = 0.416017 − 0.993053I
a = 0.720929 − 0.437955I
b = 1.166810 + 0.354621I
−3.38687 − 1.35108I 0
u = 0.232488 + 1.052280I
a = −0.799893 + 1.019930I
b = −2.76987 − 1.73929I
−8.89238 + 5.32591I 0
u = 0.232488 − 1.052280I
a = −0.799893 − 1.019930I
b = −2.76987 + 1.73929I
−8.89238 − 5.32591I 0
u = −0.279734 + 1.040910I
a = −0.253261 + 0.176642I
b = −3.07992 + 2.05683I
−8.82880 + 3.92495I 0
u = −0.279734 − 1.040910I
a = −0.253261 − 0.176642I
b = −3.07992 − 2.05683I
−8.82880 − 3.92495I 0
u = 0.486449 + 0.961931I
a = 0.185939 + 0.008126I
b = 1.70735 + 0.50992I
−1.97977 − 0.72064I 0
u = 0.486449 − 0.961931I
a = 0.185939 − 0.008126I
b = 1.70735 − 0.50992I
−1.97977 + 0.72064I 0
u = 0.847298 + 0.351445I
a = −0.65649 + 1.50631I
b = −1.39353 + 0.24812I
−0.33300 − 9.63949I 0
u = 0.847298 − 0.351445I
a = −0.65649 − 1.50631I
b = −1.39353 − 0.24812I
−0.33300 + 9.63949I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.384297 + 1.022610I
a = 0.915893 + 0.258477I
b = 0.591419 − 0.583888I
−7.60838 + 5.05242I 0
u = 0.384297 − 1.022610I
a = 0.915893 − 0.258477I
b = 0.591419 + 0.583888I
−7.60838 − 5.05242I 0
u = −0.394959 + 1.023850I
a = −1.19575 + 1.09283I
b = −0.44012 + 1.55630I
−1.48905 + 0.43411I 0
u = −0.394959 − 1.023850I
a = −1.19575 − 1.09283I
b = −0.44012 − 1.55630I
−1.48905 − 0.43411I 0
u = 0.251533 + 1.071030I
a = 0.92596 − 1.18051I
b = 2.97705 + 0.89424I
−8.96847 − 4.35509I 0
u = 0.251533 − 1.071030I
a = 0.92596 + 1.18051I
b = 2.97705 − 0.89424I
−8.96847 + 4.35509I 0
u = −0.812119 + 0.745419I
a = 0.895161 + 0.236677I
b = 0.762848 − 0.865532I
1.80790 − 6.18377I 0
u = −0.812119 − 0.745419I
a = 0.895161 − 0.236677I
b = 0.762848 + 0.865532I
1.80790 + 6.18377I 0
u = −0.372855 + 1.039690I
a = −0.968646 + 0.800400I
b = −1.172610 + 0.172507I
−7.23762 + 3.27750I 0
u = −0.372855 − 1.039690I
a = −0.968646 − 0.800400I
b = −1.172610 − 0.172507I
−7.23762 − 3.27750I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.519911 + 0.722424I
a = −0.026612 − 0.141068I
b = 1.108450 + 0.675080I
−1.83814 − 0.88802I 0
u = 0.519911 − 0.722424I
a = −0.026612 + 0.141068I
b = 1.108450 − 0.675080I
−1.83814 + 0.88802I 0
u = −1.046270 + 0.379600I
a = −0.053059 + 0.358438I
b = 0.155168 + 0.269625I
0.565986 + 0.651189I 0
u = −1.046270 − 0.379600I
a = −0.053059 − 0.358438I
b = 0.155168 − 0.269625I
0.565986 − 0.651189I 0
u = −0.683256 + 0.893934I
a = 0.332044 + 0.846280I
b = 1.381190 + 0.089150I
2.08908 − 4.49974I 0
u = −0.683256 − 0.893934I
a = 0.332044 − 0.846280I
b = 1.381190 − 0.089150I
2.08908 + 4.49974I 0
u = 0.485445 + 1.016770I
a = −0.524205 + 0.003433I
b = −1.67733 − 1.65044I
−2.96479 + 4.78008I 0
u = 0.485445 − 1.016770I
a = −0.524205 − 0.003433I
b = −1.67733 + 1.65044I
−2.96479 − 4.78008I 0
u = −0.444508 + 1.039410I
a = −1.50105 − 0.95204I
b = −2.42661 + 1.25090I
−3.24317 − 1.20456I 0
u = −0.444508 − 1.039410I
a = −1.50105 + 0.95204I
b = −2.42661 − 1.25090I
−3.24317 + 1.20456I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.308845 + 1.088940I
a = 0.370261 − 0.776912I
b = −0.084035 + 1.029990I
−5.84447 + 4.04897I 0
u = −0.308845 − 1.088940I
a = 0.370261 + 0.776912I
b = −0.084035 − 1.029990I
−5.84447 − 4.04897I 0
u = −0.518948 + 1.011330I
a = 0.310847 + 1.039890I
b = 1.56683 − 0.36672I
−0.39175 − 2.63542I 0
u = −0.518948 − 1.011330I
a = 0.310847 − 1.039890I
b = 1.56683 + 0.36672I
−0.39175 + 2.63542I 0
u = 0.462927 + 1.047690I
a = 0.288225 − 0.977650I
b = 1.27654 + 1.30182I
1.25206 + 3.28632I 0
u = 0.462927 − 1.047690I
a = 0.288225 + 0.977650I
b = 1.27654 − 1.30182I
1.25206 − 3.28632I 0
u = −1.141360 + 0.146277I
a = −0.87484 − 1.20045I
b = −1.232320 − 0.216989I
−2.16615 + 5.60711I 0
u = −1.141360 − 0.146277I
a = −0.87484 + 1.20045I
b = −1.232320 + 0.216989I
−2.16615 − 5.60711I 0
u = −0.762448 + 0.373427I
a = 0.001253 − 0.627888I
b = −0.994084 + 0.270184I
−3.64779 + 1.26818I 0
u = −0.762448 − 0.373427I
a = 0.001253 + 0.627888I
b = −0.994084 − 0.270184I
−3.64779 − 1.26818I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.747516 + 0.402468I
a = 0.21934 − 1.93663I
b = 1.108420 − 0.191050I
−0.20396 − 6.41614I 0
u = 0.747516 − 0.402468I
a = 0.21934 + 1.93663I
b = 1.108420 + 0.191050I
−0.20396 + 6.41614I 0
u = −0.377232 + 1.089410I
a = 0.797220 − 1.067190I
b = 0.104841 − 0.329076I
−8.66867 + 0.54381I 0
u = −0.377232 − 1.089410I
a = 0.797220 + 1.067190I
b = 0.104841 + 0.329076I
−8.66867 − 0.54381I 0
u = 0.489049 + 1.044700I
a = −0.664690 + 0.020529I
b = −1.97839 + 0.09531I
−1.45922 + 6.72358I 0
u = 0.489049 − 1.044700I
a = −0.664690 − 0.020529I
b = −1.97839 − 0.09531I
−1.45922 − 6.72358I 0
u = 0.245589 + 1.127890I
a = −0.870344 − 0.754624I
b = 0.251260 − 1.202110I
−8.93341 + 0.08390I 0
u = 0.245589 − 1.127890I
a = −0.870344 + 0.754624I
b = 0.251260 + 1.202110I
−8.93341 − 0.08390I 0
u = −0.472608 + 1.055410I
a = 0.97037 − 1.55840I
b = −0.58648 − 1.59176I
−3.01128 − 5.39837I 0
u = −0.472608 − 1.055410I
a = 0.97037 + 1.55840I
b = −0.58648 + 1.59176I
−3.01128 + 5.39837I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.757260 + 0.364751I
a = −2.12506 − 0.90755I
b = −1.19865 − 0.83244I
−4.53758 − 6.76051I 0
u = 0.757260 − 0.364751I
a = −2.12506 + 0.90755I
b = −1.19865 + 0.83244I
−4.53758 + 6.76051I 0
u = 0.364061 + 1.102010I
a = −1.026340 − 0.363460I
b = −0.328856 − 0.468998I
−8.23780 + 7.37982I 0
u = 0.364061 − 1.102010I
a = −1.026340 + 0.363460I
b = −0.328856 + 0.468998I
−8.23780 − 7.37982I 0
u = 0.522730 + 1.037170I
a = −0.378495 − 0.177136I
b = −0.18124 − 1.46254I
−6.63260 + 1.33254I 0
u = 0.522730 − 1.037170I
a = −0.378495 + 0.177136I
b = −0.18124 + 1.46254I
−6.63260 − 1.33254I 0
u = 0.265860 + 1.133190I
a = 0.495368 + 0.624719I
b = 0.637140 + 0.235968I
−4.39155 + 0.24998I 0
u = 0.265860 − 1.133190I
a = 0.495368 − 0.624719I
b = 0.637140 − 0.235968I
−4.39155 − 0.24998I 0
u = 0.599728 + 0.577169I
a = −0.388694 + 0.200588I
b = −0.28828 − 1.44371I
−0.91719 + 5.13630I 0
u = 0.599728 − 0.577169I
a = −0.388694 − 0.200588I
b = −0.28828 + 1.44371I
−0.91719 − 5.13630I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.782592 + 0.282194I
a = −1.11690 + 1.37447I
b = −1.075150 + 0.342609I
−4.38008 − 2.89098I 0
u = 0.782592 − 0.282194I
a = −1.11690 − 1.37447I
b = −1.075150 − 0.342609I
−4.38008 + 2.89098I 0
u = −0.500040 + 1.059690I
a = 1.70534 + 0.45569I
b = 2.51555 − 1.68935I
−0.73399 − 7.01501I 0
u = −0.500040 − 1.059690I
a = 1.70534 − 0.45569I
b = 2.51555 + 1.68935I
−0.73399 + 7.01501I 0
u = −0.639301 + 0.983530I
a = 0.197767 + 1.128470I
b = 1.156070 + 0.411848I
−0.72364 − 1.41803I 0
u = −0.639301 − 0.983530I
a = 0.197767 − 1.128470I
b = 1.156070 − 0.411848I
−0.72364 + 1.41803I 0
u = −0.723369 + 0.387062I
a = 0.242751 − 0.938498I
b = 0.610791 + 0.843374I
−4.67901 + 6.09919I 0
u = −0.723369 − 0.387062I
a = 0.242751 + 0.938498I
b = 0.610791 − 0.843374I
−4.67901 − 6.09919I 0
u = −0.020576 + 1.185450I
a = 0.864718 + 0.346125I
b = 0.599249 + 0.073733I
−5.90636 − 2.04498I 0
u = −0.020576 − 1.185450I
a = 0.864718 − 0.346125I
b = 0.599249 − 0.073733I
−5.90636 + 2.04498I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.840311 + 0.845045I
a = −0.339990 − 0.514192I
b = −0.885798 − 0.084962I
1.52171 + 0.21201I 0
u = −0.840311 − 0.845045I
a = −0.339990 + 0.514192I
b = −0.885798 + 0.084962I
1.52171 − 0.21201I 0
u = −0.525930 + 1.069960I
a = 1.098620 + 0.087603I
b = 2.08393 − 2.03824I
−6.11780 − 9.99420I 0
u = −0.525930 − 1.069960I
a = 1.098620 − 0.087603I
b = 2.08393 + 2.03824I
−6.11780 + 9.99420I 0
u = 0.984744 + 0.673591I
a = 0.503195 − 0.928439I
b = 1.205310 − 0.138533I
0.45241 − 4.77440I 0
u = 0.984744 − 0.673591I
a = 0.503195 + 0.928439I
b = 1.205310 + 0.138533I
0.45241 + 4.77440I 0
u = 0.120608 + 0.787765I
a = 1.37504 + 0.75472I
b = 1.105350 + 0.003716I
−6.25392 − 2.50764I 0
u = 0.120608 − 0.787765I
a = 1.37504 − 0.75472I
b = 1.105350 − 0.003716I
−6.25392 + 2.50764I 0
u = −0.112461 + 0.788782I
a = −1.58784 − 0.15106I
b = −0.591296 − 0.673025I
−5.78124 − 5.66389I 0
u = −0.112461 − 0.788782I
a = −1.58784 + 0.15106I
b = −0.591296 + 0.673025I
−5.78124 + 5.66389I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738165 + 0.291767I
a = 0.558273 − 1.136720I
b = 0.852046 + 0.237899I
−0.09519 − 2.68195I 0
u = 0.738165 − 0.291767I
a = 0.558273 + 1.136720I
b = 0.852046 − 0.237899I
−0.09519 + 2.68195I 0
u = 0.148857 + 1.199050I
a = −0.833664 − 0.726153I
b = −0.372025 − 0.473225I
−5.61682 − 6.73750I 0
u = 0.148857 − 1.199050I
a = −0.833664 + 0.726153I
b = −0.372025 + 0.473225I
−5.61682 + 6.73750I 0
u = −0.505540 + 1.100760I
a = −1.147110 − 0.507952I
b = −2.16485 + 1.71594I
−7.75924 − 7.84532I 0
u = −0.505540 − 1.100760I
a = −1.147110 + 0.507952I
b = −2.16485 − 1.71594I
−7.75924 + 7.84532I 0
u = −0.313472 + 0.711149I
a = 0.25243 + 1.78510I
b = 1.340140 − 0.283871I
−1.78173 − 2.12156I 0
u = −0.313472 − 0.711149I
a = 0.25243 − 1.78510I
b = 1.340140 + 0.283871I
−1.78173 + 2.12156I 0
u = 0.508548 + 1.126290I
a = 0.713088 + 0.036404I
b = 0.628710 + 1.059660I
−7.18992 + 0.18186I 0
u = 0.508548 − 1.126290I
a = 0.713088 − 0.036404I
b = 0.628710 − 1.059660I
−7.18992 − 0.18186I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.598838 + 0.474090I
a = −0.676160 − 0.269721I
b = −0.600546 + 0.570846I
1.11261 − 0.90115I 0
u = −0.598838 − 0.474090I
a = −0.676160 + 0.269721I
b = −0.600546 − 0.570846I
1.11261 + 0.90115I 0
u = −0.690759 + 0.323339I
a = 0.644158 + 0.831022I
b = 1.69558 − 0.29105I
−1.91809 + 6.72702I 0
u = −0.690759 − 0.323339I
a = 0.644158 − 0.831022I
b = 1.69558 + 0.29105I
−1.91809 − 6.72702I 0
u = −0.543213 + 1.112850I
a = −0.588558 − 0.485942I
b = −1.85686 + 1.61850I
−4.20588 − 11.47960I 0
u = −0.543213 − 1.112850I
a = −0.588558 + 0.485942I
b = −1.85686 − 1.61850I
−4.20588 + 11.47960I 0
u = −0.564468 + 1.102300I
a = 0.545722 − 0.255840I
b = 1.78950 + 0.72166I
−6.79075 − 11.02120I 0
u = −0.564468 − 1.102300I
a = 0.545722 + 0.255840I
b = 1.78950 − 0.72166I
−6.79075 + 11.02120I 0
u = −0.554510 + 0.518938I
a = −1.30260 − 0.65624I
b = −1.37314 + 0.72666I
1.04847 − 1.72159I 0
u = −0.554510 − 0.518938I
a = −1.30260 + 0.65624I
b = −1.37314 − 0.72666I
1.04847 + 1.72159I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.521241 + 1.127700I
a = 0.332269 + 0.202571I
b = 1.072300 − 0.550216I
−0.96745 − 3.52885I 0
u = −0.521241 − 1.127700I
a = 0.332269 − 0.202571I
b = 1.072300 + 0.550216I
−0.96745 + 3.52885I 0
u = 0.578854 + 1.101340I
a = −1.44315 + 0.06768I
b = −2.28052 − 1.56100I
−2.27278 + 11.45280I 0
u = 0.578854 − 1.101340I
a = −1.44315 − 0.06768I
b = −2.28052 + 1.56100I
−2.27278 − 11.45280I 0
u = −0.571500 + 1.108720I
a = 0.565179 + 0.031084I
b = 1.57728 − 1.50098I
−5.82025 − 6.29317I 0
u = −0.571500 − 1.108720I
a = 0.565179 − 0.031084I
b = 1.57728 + 1.50098I
−5.82025 + 6.29317I 0
u = 0.548322 + 1.127500I
a = −0.847832 + 0.286398I
b = −2.05383 − 0.84014I
−2.52412 + 7.54304I 0
u = 0.548322 − 1.127500I
a = −0.847832 − 0.286398I
b = −2.05383 + 0.84014I
−2.52412 − 7.54304I 0
u = 0.569399 + 1.118000I
a = −0.50535 − 1.68929I
b = 0.90248 − 1.35828I
−6.77011 + 11.77930I 0
u = 0.569399 − 1.118000I
a = −0.50535 + 1.68929I
b = 0.90248 + 1.35828I
−6.77011 − 11.77930I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.521023 + 1.144030I
a = −0.266039 + 0.978578I
b = −1.134730 + 0.449251I
−2.13610 + 2.01997I 0
u = 0.521023 − 1.144030I
a = −0.266039 − 0.978578I
b = −1.134730 − 0.449251I
−2.13610 − 2.01997I 0
u = 0.553601 + 1.140610I
a = 1.25135 − 0.67392I
b = 2.01836 + 0.85890I
−6.90204 + 7.87006I 0
u = 0.553601 − 1.140610I
a = 1.25135 + 0.67392I
b = 2.01836 − 0.85890I
−6.90204 − 7.87006I 0
u = 0.851591 + 0.941930I
a = −1.006740 + 0.283724I
b = −1.30216 − 0.93207I
−0.32568 + 11.25770I 0
u = 0.851591 − 0.941930I
a = −1.006740 − 0.283724I
b = −1.30216 + 0.93207I
−0.32568 − 11.25770I 0
u = −0.494312 + 1.172850I
a = −0.403178 + 0.017663I
b = −0.973569 − 0.185280I
−1.08505 − 4.73909I 0
u = −0.494312 − 1.172850I
a = −0.403178 − 0.017663I
b = −0.973569 + 0.185280I
−1.08505 + 4.73909I 0
u = 0.618843 + 1.129480I
a = −1.163820 + 0.230234I
b = −2.03597 − 1.40240I
−2.11502 + 9.82931I 0
u = 0.618843 − 1.129480I
a = −1.163820 − 0.230234I
b = −2.03597 + 1.40240I
−2.11502 − 9.82931I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.651111 + 0.283423I
a = 0.581491 + 1.053030I
b = −0.346579 + 0.884285I
−4.71584 + 4.37839I 0
u = 0.651111 − 0.283423I
a = 0.581491 − 1.053030I
b = −0.346579 − 0.884285I
−4.71584 − 4.37839I 0
u = 0.597360 + 1.146370I
a = 1.228210 − 0.370045I
b = 2.16174 + 1.43382I
−2.7187 + 14.9844I 0
u = 0.597360 − 1.146370I
a = 1.228210 + 0.370045I
b = 2.16174 − 1.43382I
−2.7187 − 14.9844I 0
u = −0.566200 + 0.422937I
a = 0.26508 − 1.59952I
b = −1.47889 + 0.00458I
−4.21924 + 5.55959I 0. − 7.35367I
u = −0.566200 − 0.422937I
a = 0.26508 + 1.59952I
b = −1.47889 − 0.00458I
−4.21924 − 5.55959I 0. + 7.35367I
u = −0.629099 + 1.138350I
a = −0.731891 + 0.658784I
b = −1.074780 + 0.083998I
−5.46610 − 1.69081I 0
u = −0.629099 − 1.138350I
a = −0.731891 − 0.658784I
b = −1.074780 − 0.083998I
−5.46610 + 1.69081I 0
u = 0.461302 + 1.222640I
a = −0.582381 + 0.432692I
b = −1.48919 − 0.15022I
−2.85043 + 6.61669I 0
u = 0.461302 − 1.222640I
a = −0.582381 − 0.432692I
b = −1.48919 + 0.15022I
−2.85043 − 6.61669I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.661049 + 0.125042I
a = 0.407469 + 0.244721I
b = −0.274295 − 0.366209I
1.88448 + 0.31661I 9.20971 + 3.08421I
u = −0.661049 − 0.125042I
a = 0.407469 − 0.244721I
b = −0.274295 + 0.366209I
1.88448 − 0.31661I 9.20971 − 3.08421I
u = 0.621636 + 1.173050I
a = 0.679141 + 1.179670I
b = 0.127732 + 0.720699I
−6.03567 + 2.16927I 0
u = 0.621636 − 1.173050I
a = 0.679141 − 1.179670I
b = 0.127732 − 0.720699I
−6.03567 − 2.16927I 0
u = −0.621498 + 1.181550I
a = −0.590701 + 0.031859I
b = −0.744629 + 0.788803I
−2.03803 − 6.50636I 0
u = −0.621498 − 1.181550I
a = −0.590701 − 0.031859I
b = −0.744629 − 0.788803I
−2.03803 + 6.50636I 0
u = 0.467783 + 0.456039I
a = −1.116730 − 0.108529I
b = 0.644788 − 0.967917I
−4.98463 + 2.85653I −2.27995 − 4.97383I
u = 0.467783 − 0.456039I
a = −1.116730 + 0.108529I
b = 0.644788 + 0.967917I
−4.98463 − 2.85653I −2.27995 + 4.97383I
u = −0.616599 + 1.207640I
a = −1.189210 − 0.310269I
b = −2.25120 + 1.31016I
−7.3862 − 21.3933I 0
u = −0.616599 − 1.207640I
a = −1.189210 + 0.310269I
b = −2.25120 − 1.31016I
−7.3862 + 21.3933I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.343730 + 0.526968I
a = −1.03551 + 1.04796I
b = −1.99095 − 0.15985I
2.96695 + 0.40002I −4.7271 + 24.4821I
u = 0.343730 − 0.526968I
a = −1.03551 − 1.04796I
b = −1.99095 + 0.15985I
2.96695 − 0.40002I −4.7271 − 24.4821I
u = 0.614652 + 0.120392I
a = 1.89630 + 0.57948I
b = 0.480229 + 0.256493I
0.60871 + 2.47592I 3.36829 − 3.12260I
u = 0.614652 − 0.120392I
a = 1.89630 − 0.57948I
b = 0.480229 − 0.256493I
0.60871 − 2.47592I 3.36829 + 3.12260I
u = −0.562516 + 0.270089I
a = 0.66889 + 1.91660I
b = 1.53924 + 0.13775I
−5.44544 + 3.51979I −3.15873 − 2.56834I
u = −0.562516 − 0.270089I
a = 0.66889 − 1.91660I
b = 1.53924 − 0.13775I
−5.44544 − 3.51979I −3.15873 + 2.56834I
u = −0.223794 + 1.361440I
a = 0.661265 − 0.789292I
b = 0.414545 − 0.386713I
−10.2390 + 11.6591I 0
u = −0.223794 − 1.361440I
a = 0.661265 + 0.789292I
b = 0.414545 + 0.386713I
−10.2390 − 11.6591I 0
u = −0.461661 + 0.413951I
a = −0.22842 − 2.77017I
b = −1.334560 − 0.082343I
1.14788 + 2.88356I 7.79263 − 4.94514I
u = −0.461661 − 0.413951I
a = −0.22842 + 2.77017I
b = −1.334560 + 0.082343I
1.14788 − 2.88356I 7.79263 + 4.94514I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.618999 + 1.243810I
a = 0.594007 − 0.047111I
b = 0.948512 + 0.802340I
−6.5669 + 12.7735I 0
u = 0.618999 − 1.243810I
a = 0.594007 + 0.047111I
b = 0.948512 − 0.802340I
−6.5669 − 12.7735I 0
u = 0.485974 + 0.314780I
a = 0.48311 − 1.46240I
b = 0.136445 + 0.590560I
0.43743 − 2.69187I 3.81614 + 7.23618I
u = 0.485974 − 0.314780I
a = 0.48311 + 1.46240I
b = 0.136445 − 0.590560I
0.43743 + 2.69187I 3.81614 − 7.23618I
u = −0.61817 + 1.28056I
a = 1.127020 + 0.336774I
b = 2.23702 − 1.03361I
−5.64471 − 11.70530I 0
u = −0.61817 − 1.28056I
a = 1.127020 − 0.336774I
b = 2.23702 + 1.03361I
−5.64471 + 11.70530I 0
u = 0.01345 + 1.44015I
a = −0.122345 − 0.217401I
b = 0.032307 − 0.766772I
−9.49847 − 0.63103I 0
u = 0.01345 − 1.44015I
a = −0.122345 + 0.217401I
b = 0.032307 + 0.766772I
−9.49847 + 0.63103I 0
u = −0.333106 + 0.432370I
a = 2.79270 − 0.66650I
b = 0.632557 − 0.907478I
−1.13554 + 1.59985I −3.65752 − 3.77819I
u = −0.333106 − 0.432370I
a = 2.79270 + 0.66650I
b = 0.632557 + 0.907478I
−1.13554 − 1.59985I −3.65752 + 3.77819I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.126461 + 0.482925I
a = −1.27788 − 1.91383I
b = −0.311559 + 0.547157I
0.52833 − 2.78826I −0.58842 + 10.29084I
u = 0.126461 − 0.482925I
a = −1.27788 + 1.91383I
b = −0.311559 − 0.547157I
0.52833 + 2.78826I −0.58842 − 10.29084I
u = 0.27437 + 1.52486I
a = −0.271711 − 0.007241I
b = −0.1303390 + 0.0220521I
−9.30528 − 1.88326I 0
u = 0.27437 − 1.52486I
a = −0.271711 + 0.007241I
b = −0.1303390 − 0.0220521I
−9.30528 + 1.88326I 0
u = −0.14956 + 1.72447I
a = −0.176124 + 0.845917I
b = −0.105569 + 0.521329I
−8.66149 − 0.51626I 0
u = −0.14956 − 1.72447I
a = −0.176124 − 0.845917I
b = −0.105569 − 0.521329I
−8.66149 + 0.51626I 0
u = 0.222235 + 0.127063I
a = 0.90649 + 3.82283I
b = 0.468407 − 0.386717I
−1.32204 + 1.57318I −1.54812 − 2.70792I
u = 0.222235 − 0.127063I
a = 0.90649 − 3.82283I
b = 0.468407 + 0.386717I
−1.32204 − 1.57318I −1.54812 + 2.70792I
24
II. I
u
2
=
h2.58×10
19
u
53
−4.29×10
19
u
52
+· · ·+4.32×10
17
b−5.83×10
19
, 8.59×10
18
u
53
−
1.14 × 10
19
u
52
+ · · · + 4.32 × 10
17
a − 1.46 × 10
19
, u
54
+ 17u
52
+ · · · + 4u + 1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
−19.9123u
53
+ 26.3940u
52
+ ··· + 112.336u + 33.9158
−59.8569u
53
+ 99.3227u
52
+ ··· + 555.473u + 135.187
a
5
=
−53.9491u
53
− 11.5730u
52
+ ··· + 56.5708u + 22.6082
−36.5241u
53
− 24.2600u
52
+ ··· − 9.11001u + 7.99023
a
8
=
10.5353u
53
+ 37.5686u
52
+ ··· + 111.926u + 24.5505
−47.0285u
53
+ 38.8740u
52
+ ··· + 251.360u + 63.5633
a
12
=
−45.5609u
53
− 148.716u
52
+ ··· − 686.913u − 135.965
−27.4795u
53
− 35.8601u
52
+ ··· − 146.463u − 27.5691
a
10
=
−1.55215u
53
− 2.08238u
52
+ ··· − 16.9840u + 0.874132
43.0483u
53
+ 23.1423u
52
+ ··· + 48.2279u − 0.459467
a
11
=
−106.272u
53
− 174.188u
52
+ ··· − 698.207u − 123.064
−45.5883u
53
− 8.12476u
52
+ ··· + 4.84107u + 10.8041
a
4
=
−163.973u
53
+ 60.1983u
52
+ ··· + 558.994u + 156.560
16.3000u
53
+ 33.0006u
52
+ ··· + 168.093u + 35.6752
(ii) Obstruction class = 1
(iii) Cusp Shapes =
17404159193779681110
431512625934986509
u
53
+
161846419160915924532
431512625934986509
u
52
+ ··· +
766895556770402658785
431512625934986509
u +
173311032398584277281
431512625934986509
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
54
− 34u
53
+ ··· − 24u + 1
c
2
u
54
+ 17u
52
+ ··· + 4u + 1
c
3
u
54
+ u
53
+ ··· − 4u + 1
c
4
u
54
+ u
53
+ ··· − 70u + 7
c
5
u
54
− 4u
53
+ ··· + 4u + 1
c
6
u
54
+ 17u
52
+ ··· − 4u + 1
c
7
u
54
− 17u
53
+ ··· − 22u + 1
c
8
u
54
− 13u
52
+ ··· − 5u + 1
c
9
u
54
+ 7u
53
+ ··· − 4u + 3
c
10
u
54
− u
53
+ ··· + 4u + 1
c
11
u
54
− u
53
+ ··· + 266u + 41
c
12
u
54
+ u
53
+ ··· − u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
54
− 18y
53
+ ··· + 52y + 1
c
2
, c
6
y
54
+ 34y
53
+ ··· + 24y + 1
c
3
, c
10
y
54
+ 33y
53
+ ··· + 6y + 1
c
4
y
54
− 33y
53
+ ··· − 2142y + 49
c
5
y
54
+ 12y
53
+ ··· + 12y + 1
c
7
y
54
− 33y
53
+ ··· − 62y + 1
c
8
y
54
− 26y
53
+ ··· + 21y + 1
c
9
y
54
− 5y
53
+ ··· + 632y + 9
c
11
y
54
− 21y
53
+ ··· + 1158y + 1681
c
12
y
54
+ 11y
53
+ ··· + 13y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.252302 + 0.964900I
a = 1.156310 + 0.139801I
b = −0.016988 − 0.317040I
−6.44857 + 6.42382I 0. − 9.79570I
u = 0.252302 − 0.964900I
a = 1.156310 − 0.139801I
b = −0.016988 + 0.317040I
−6.44857 − 6.42382I 0. + 9.79570I
u = 0.952722 + 0.371367I
a = 0.61117 − 1.42224I
b = 1.183950 − 0.226439I
−0.75968 − 4.86921I 0
u = 0.952722 − 0.371367I
a = 0.61117 + 1.42224I
b = 1.183950 + 0.226439I
−0.75968 + 4.86921I 0
u = −0.925274 + 0.444599I
a = 0.111740 − 0.267727I
b = −0.0455032 + 0.0023297I
0.745917 + 0.626722I 0
u = −0.925274 − 0.444599I
a = 0.111740 + 0.267727I
b = −0.0455032 − 0.0023297I
0.745917 − 0.626722I 0
u = 0.269026 + 0.929385I
a = 1.21735 + 0.74105I
b = 1.35227 + 0.68975I
−6.35172 − 4.28431I −5.46483 + 4.61188I
u = 0.269026 − 0.929385I
a = 1.21735 − 0.74105I
b = 1.35227 − 0.68975I
−6.35172 + 4.28431I −5.46483 − 4.61188I
u = 0.271954 + 0.997965I
a = 0.349548 − 0.668384I
b = 3.31850 + 1.26053I
−8.36647 − 3.63652I 0
u = 0.271954 − 0.997965I
a = 0.349548 + 0.668384I
b = 3.31850 − 1.26053I
−8.36647 + 3.63652I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.511457 + 0.925970I
a = −0.635972 − 0.130189I
b = −0.12661 − 1.59190I
−6.67987 + 2.09195I 0
u = 0.511457 − 0.925970I
a = −0.635972 + 0.130189I
b = −0.12661 + 1.59190I
−6.67987 − 2.09195I 0
u = 0.208628 + 0.917279I
a = −0.223315 + 0.755932I
b = −3.81576 − 1.60106I
−7.96159 + 5.57838I 2.00000 − 11.23787I
u = 0.208628 − 0.917279I
a = −0.223315 − 0.755932I
b = −3.81576 + 1.60106I
−7.96159 − 5.57838I 2.00000 + 11.23787I
u = −0.297558 + 1.025260I
a = −0.818107 + 0.816255I
b = −0.451220 − 0.357249I
−7.38669 + 1.53445I 0
u = −0.297558 − 1.025260I
a = −0.818107 − 0.816255I
b = −0.451220 + 0.357249I
−7.38669 − 1.53445I 0
u = −0.433395 + 0.976593I
a = −1.171880 + 0.069685I
b = −1.80973 + 0.93974I
−2.36580 − 0.50047I 0
u = −0.433395 − 0.976593I
a = −1.171880 − 0.069685I
b = −1.80973 − 0.93974I
−2.36580 + 0.50047I 0
u = −0.207336 + 0.881878I
a = −1.219990 − 0.165687I
b = −1.45149 − 0.48432I
−6.70562 − 3.57574I −6.87762 + 4.93879I
u = −0.207336 − 0.881878I
a = −1.219990 + 0.165687I
b = −1.45149 + 0.48432I
−6.70562 + 3.57574I −6.87762 − 4.93879I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.410590 + 0.805204I
a = −0.65205 + 1.44052I
b = 1.052550 + 0.009983I
−1.69949 − 2.98125I −5.84106 + 8.46897I
u = −0.410590 − 0.805204I
a = −0.65205 − 1.44052I
b = 1.052550 − 0.009983I
−1.69949 + 2.98125I −5.84106 − 8.46897I
u = 0.466416 + 1.034800I
a = −0.296665 + 0.915764I
b = −1.20612 − 1.41098I
1.45486 + 3.18912I 0
u = 0.466416 − 1.034800I
a = −0.296665 − 0.915764I
b = −1.20612 + 1.41098I
1.45486 − 3.18912I 0
u = −0.569914 + 1.013750I
a = 0.300755 + 1.140990I
b = 1.317890 + 0.384133I
0.15641 − 1.41677I 0
u = −0.569914 − 1.013750I
a = 0.300755 − 1.140990I
b = 1.317890 − 0.384133I
0.15641 + 1.41677I 0
u = 0.782589 + 0.275166I
a = −0.557760 − 0.587475I
b = −0.675459 − 0.117455I
−3.43698 − 5.81701I 0.49299 + 3.78351I
u = 0.782589 − 0.275166I
a = −0.557760 + 0.587475I
b = −0.675459 + 0.117455I
−3.43698 + 5.81701I 0.49299 − 3.78351I
u = −0.572454 + 0.551686I
a = −1.76454 − 0.34428I
b = −0.754731 + 1.035030I
1.56465 − 3.19828I 8.00116 + 7.26217I
u = −0.572454 − 0.551686I
a = −1.76454 + 0.34428I
b = −0.754731 − 1.035030I
1.56465 + 3.19828I 8.00116 − 7.26217I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.456373 + 1.117580I
a = 0.763531 + 0.112107I
b = 1.37814 − 0.42595I
−1.36302 − 5.68915I 0
u = −0.456373 − 1.117580I
a = 0.763531 − 0.112107I
b = 1.37814 + 0.42595I
−1.36302 + 5.68915I 0
u = −0.517969 + 1.095690I
a = 0.681228 − 0.123182I
b = 1.148030 − 0.635366I
−1.41043 − 5.68941I 0
u = −0.517969 − 1.095690I
a = 0.681228 + 0.123182I
b = 1.148030 + 0.635366I
−1.41043 + 5.68941I 0
u = −0.516519 + 1.112940I
a = 0.986932 + 0.247895I
b = 2.13168 − 1.75770I
−5.61653 − 8.97135I 0
u = −0.516519 − 1.112940I
a = 0.986932 − 0.247895I
b = 2.13168 + 1.75770I
−5.61653 + 8.97135I 0
u = 0.675290 + 1.027400I
a = 0.765135 + 0.889181I
b = 0.552312 + 0.188786I
−5.62092 + 2.88349I 0
u = 0.675290 − 1.027400I
a = 0.765135 − 0.889181I
b = 0.552312 − 0.188786I
−5.62092 − 2.88349I 0
u = 0.566956 + 1.125850I
a = −0.265251 − 0.635193I
b = −0.151887 + 0.107074I
−5.85829 + 10.83880I 0
u = 0.566956 − 1.125850I
a = −0.265251 + 0.635193I
b = −0.151887 − 0.107074I
−5.85829 − 10.83880I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.703718 + 0.137043I
a = −1.02694 + 1.47100I
b = −1.007450 − 0.071277I
−2.88236 − 4.71604I −0.94963 + 7.20067I
u = −0.703718 − 0.137043I
a = −1.02694 − 1.47100I
b = −1.007450 + 0.071277I
−2.88236 + 4.71604I −0.94963 − 7.20067I
u = 0.627209 + 1.124520I
a = −1.259800 + 0.170943I
b = −2.08005 − 1.39631I
−3.00813 + 10.51030I 0
u = 0.627209 − 1.124520I
a = −1.259800 − 0.170943I
b = −2.08005 + 1.39631I
−3.00813 − 10.51030I 0
u = 0.375501 + 0.568987I
a = 0.920992 − 0.965857I
b = 2.00173 + 0.07907I
3.00586 + 0.54027I 10.0140 − 27.8660I
u = 0.375501 − 0.568987I
a = 0.920992 + 0.965857I
b = 2.00173 − 0.07907I
3.00586 − 0.54027I 10.0140 + 27.8660I
u = −0.275796 + 0.592661I
a = 0.92720 − 1.80731I
b = −0.259755 + 0.255508I
0.59531 + 2.33278I 0.79014 + 6.10257I
u = −0.275796 − 0.592661I
a = 0.92720 + 1.80731I
b = −0.259755 − 0.255508I
0.59531 − 2.33278I 0.79014 − 6.10257I
u = 0.19889 + 1.51949I
a = 0.097897 − 0.139315I
b = 0.423851 − 0.259847I
−9.07324 − 1.96744I 0
u = 0.19889 − 1.51949I
a = 0.097897 + 0.139315I
b = 0.423851 + 0.259847I
−9.07324 + 1.96744I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.211422 + 0.338542I
a = 1.07130 − 2.05181I
b = −1.50920 + 0.62969I
−3.05842 + 4.86845I 2.98366 − 5.20062I
u = −0.211422 − 0.338542I
a = 1.07130 + 2.05181I
b = −1.50920 − 0.62969I
−3.05842 − 4.86845I 2.98366 + 5.20062I
u = −0.06062 + 1.68409I
a = −0.068821 + 0.740481I
b = 0.001020 + 0.447021I
−8.52031 − 0.32190I 0
u = −0.06062 − 1.68409I
a = −0.068821 − 0.740481I
b = 0.001020 − 0.447021I
−8.52031 + 0.32190I 0
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
54
− 34u
53
+ ··· − 24u + 1)(u
198
+ 103u
197
+ ··· + 17448u + 961)
c
2
(u
54
+ 17u
52
+ ··· + 4u + 1)(u
198
− u
197
+ ··· + 192u + 31)
c
3
(u
54
+ u
53
+ ··· − 4u + 1)(u
198
+ 67u
196
+ ··· + 33900u + 11483)
c
4
(u
54
+ u
53
+ ··· − 70u + 7)
· (u
198
− 50u
196
+ ··· − 3343620599276u + 329813696659)
c
5
(u
54
− 4u
53
+ ··· + 4u + 1)(u
198
+ u
197
+ ··· − 152u + 137)
c
6
(u
54
+ 17u
52
+ ··· − 4u + 1)(u
198
− u
197
+ ··· + 192u + 31)
c
7
(u
54
− 17u
53
+ ··· − 22u + 1)
· (u
198
+ 14u
197
+ ··· − 3767846u + 4507105)
c
8
(u
54
− 13u
52
+ ··· − 5u + 1)(u
198
+ 5u
197
+ ··· − 13533u + 913)
c
9
(u
54
+ 7u
53
+ ··· − 4u + 3)
· (u
198
+ 14u
197
+ ··· + 1162822100u + 97402681)
c
10
(u
54
− u
53
+ ··· + 4u + 1)(u
198
+ 67u
196
+ ··· + 33900u + 11483)
c
11
(u
54
− u
53
+ ··· + 266u + 41)
· (u
198
− 2u
197
+ ··· + 37555120u + 6187153)
c
12
(u
54
+ u
53
+ ··· − u + 1)(u
198
− 6u
197
+ ··· + 13u + 1)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
54
− 18y
53
+ ··· + 52y + 1)
· (y
198
− 5y
197
+ ··· + 265997676y + 923521)
c
2
, c
6
(y
54
+ 34y
53
+ ··· + 24y + 1)(y
198
+ 103y
197
+ ··· + 17448y + 961)
c
3
, c
10
(y
54
+ 33y
53
+ ··· + 6y + 1)
· (y
198
+ 134y
197
+ ··· + 12295844278y + 131859289)
c
4
(y
54
− 33y
53
+ ··· − 2142y + 49)
· (y
198
− 100y
197
+ ··· − 9.00 × 10
24
y + 1.09 × 10
23
)
c
5
(y
54
+ 12y
53
+ ··· + 12y + 1)
· (y
198
+ 25y
197
+ ··· + 1495404y + 18769)
c
7
(y
54
− 33y
53
+ ··· − 62y + 1)
· (y
198
− 80y
197
+ ··· − 1202038047552706y + 20313995481025)
c
8
(y
54
− 26y
53
+ ··· + 21y + 1)
· (y
198
− 45y
197
+ ··· + 443152173y + 833569)
c
9
(y
54
− 5y
53
+ ··· + 632y + 9)
· (y
198
+ 44y
197
+ ··· + 370665595377026344y + 9487282265987761)
c
11
(y
54
− 21y
53
+ ··· + 1158y + 1681)
· (y
198
− 56y
197
+ ··· + 6038753260673846y + 38280862245409)
c
12
(y
54
+ 11y
53
+ ··· + 13y + 1)(y
198
+ 32y
197
+ ··· + 265y + 1)
37
