12a
0361
(K12a
0361
)
A knot diagram
1
Linearized knot diagam
3 6 9 8 10 2 12 11 7 1 4 5
Solving Sequence
2,7
6 3
1,10
11 5 9 4 8 12
c
6
c
2
c
1
c
10
c
5
c
9
c
3
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.19484 × 10
727
u
208
+ 8.25909 × 10
726
u
207
+ ··· + 2.89794 × 10
726
b − 5.95025 × 10
728
,
− 5.74402 × 10
728
u
208
− 2.50115 × 10
729
u
207
+ ··· + 8.98362 × 10
727
a + 8.40848 × 10
730
,
u
209
+ u
208
+ ··· + 157u − 31i
I
u
2
= h−5.62203 × 10
24
u
44
− 2.14255 × 10
24
u
43
+ ··· + 1.91127 × 10
24
b − 4.18208 × 10
24
,
1.38584 × 10
25
u
44
− 7.72588 × 10
23
u
43
+ ··· + 1.91127 × 10
24
a − 1.67886 × 10
25
, u
45
+ 13u
43
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 254 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−5.19 × 10
727
u
208
+ 8.26 × 10
726
u
207
+ · · · + 2.90 × 10
726
b − 5.95 ×
10
728
, −5.74 × 10
728
u
208
− 2.50 × 10
729
u
207
+ · · · + 8.98 × 10
727
a + 8.41 ×
10
730
, u
209
+ u
208
+ · · · + 157u − 31i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
6.39389u
208
+ 27.8413u
207
+ ··· + 5326.95u − 935.980
17.9260u
208
− 2.84999u
207
+ ··· − 1746.62u + 205.327
a
11
=
24.0595u
208
+ 43.1655u
207
+ ··· + 7005.92u − 1310.55
11.9868u
208
− 6.46156u
207
+ ··· − 2018.72u + 284.552
a
5
=
47.9537u
208
+ 46.5295u
207
+ ··· + 6025.57u − 1293.15
−9.59584u
208
− 6.09771u
207
+ ··· − 555.561u + 146.161
a
9
=
24.3199u
208
+ 24.9913u
207
+ ··· + 3580.32u − 730.653
17.9260u
208
− 2.84999u
207
+ ··· − 1746.62u + 205.327
a
4
=
−32.6099u
208
− 30.8544u
207
+ ··· − 3776.28u + 834.973
15.2112u
208
+ 11.6311u
207
+ ··· + 1168.81u − 280.462
a
8
=
36.5951u
208
− 2.85855u
207
+ ··· − 2738.98u + 271.752
−3.36340u
208
− 5.69928u
207
+ ··· − 666.592u + 129.498
a
12
=
35.2543u
208
+ 47.3291u
207
+ ··· + 6049.61u − 1248.70
4.43078u
208
+ 6.47752u
207
+ ··· + 921.918u − 175.511
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1268.80u
208
− 749.344u
207
+ ··· − 65537.2u + 17961.7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
209
+ 95u
208
+ ··· − 21355u − 961
c
2
, c
6
u
209
− u
208
+ ··· + 157u + 31
c
3
u
209
+ u
208
+ ··· + 10419082u + 304643
c
4
u
209
+ 6u
208
+ ··· − 116u + 8
c
5
u
209
− u
208
+ ··· + 2641791u + 518269
c
7
u
209
+ 3u
208
+ ··· + 41u + 1
c
8
u
209
+ 10u
208
+ ··· − 360u + 13
c
9
u
209
+ 5u
208
+ ··· + 23494787u + 2058527
c
10
u
209
− 5u
208
+ ··· + 23728u + 1856
c
11
u
209
+ 4u
208
+ ··· + 71u − 173
c
12
u
209
+ 3u
208
+ ··· + 132u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
209
+ 55y
208
+ ··· + 62744853y −923521
c
2
, c
6
y
209
+ 95y
208
+ ··· − 21355y −961
c
3
y
209
+ 47y
208
+ ··· − 7664051227998y −92807357449
c
4
y
209
+ 28y
208
+ ··· − 2608y −64
c
5
y
209
+ 29y
208
+ ··· − 14754978917513y −268602756361
c
7
y
209
− 13y
208
+ ··· + 169y −1
c
8
y
209
− 14y
208
+ ··· − 67974y −169
c
9
y
209
+ y
208
+ ··· − 123218028405125y −4237533409729
c
10
y
209
− 37y
208
+ ··· + 94845696y −3444736
c
11
y
209
− 2y
208
+ ··· + 2076543y −29929
c
12
y
209
− 41y
208
+ ··· + 5070y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.414459 + 0.912946I
a = −0.003703 + 1.328120I
b = 0.055954 + 0.726607I
−0.797811 + 0.322751I 0
u = −0.414459 − 0.912946I
a = −0.003703 − 1.328120I
b = 0.055954 − 0.726607I
−0.797811 − 0.322751I 0
u = 0.789395 + 0.604559I
a = −0.382992 + 0.377656I
b = 0.426451 + 1.127850I
5.55730 − 7.04279I 0
u = 0.789395 − 0.604559I
a = −0.382992 − 0.377656I
b = 0.426451 − 1.127850I
5.55730 + 7.04279I 0
u = 0.888897 + 0.443556I
a = 0.138371 + 0.096590I
b = 0.90624 + 1.40713I
1.34487 − 7.80456I 0
u = 0.888897 − 0.443556I
a = 0.138371 − 0.096590I
b = 0.90624 − 1.40713I
1.34487 + 7.80456I 0
u = 0.522878 + 0.844028I
a = −2.51795 − 0.11586I
b = 0.56972 − 1.52968I
2.55861 + 5.83117I 0
u = 0.522878 − 0.844028I
a = −2.51795 + 0.11586I
b = 0.56972 + 1.52968I
2.55861 − 5.83117I 0
u = 0.509684 + 0.869877I
a = 0.924253 − 0.199476I
b = 0.29260 + 1.86459I
2.48549 − 1.65200I 0
u = 0.509684 − 0.869877I
a = 0.924253 + 0.199476I
b = 0.29260 − 1.86459I
2.48549 + 1.65200I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.288077 + 0.946097I
a = −0.77080 − 1.25654I
b = 1.27234 + 0.80753I
−3.69355 − 0.54833I 0
u = 0.288077 − 0.946097I
a = −0.77080 + 1.25654I
b = 1.27234 − 0.80753I
−3.69355 + 0.54833I 0
u = −0.688092 + 0.708394I
a = −0.96931 − 1.05574I
b = −1.22304 + 1.67861I
2.45193 + 6.07675I 0
u = −0.688092 − 0.708394I
a = −0.96931 + 1.05574I
b = −1.22304 − 1.67861I
2.45193 − 6.07675I 0
u = 0.776949 + 0.608508I
a = 0.631967 + 0.150693I
b = −0.369573 − 0.528778I
4.29894 − 1.79618I 0
u = 0.776949 − 0.608508I
a = 0.631967 − 0.150693I
b = −0.369573 + 0.528778I
4.29894 + 1.79618I 0
u = −0.933186 + 0.395299I
a = 0.036618 + 0.138293I
b = 0.674525 − 1.168200I
3.82194 + 6.78600I 0
u = −0.933186 − 0.395299I
a = 0.036618 − 0.138293I
b = 0.674525 + 1.168200I
3.82194 − 6.78600I 0
u = 0.324625 + 0.960718I
a = 2.27632 + 0.63428I
b = −1.170670 − 0.467528I
−2.71146 − 6.61718I 0
u = 0.324625 − 0.960718I
a = 2.27632 − 0.63428I
b = −1.170670 + 0.467528I
−2.71146 + 6.61718I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.335784 + 0.958593I
a = 1.96499 + 0.06488I
b = −0.495656 − 0.383507I
−0.63720 − 3.37626I 0
u = −0.335784 − 0.958593I
a = 1.96499 − 0.06488I
b = −0.495656 + 0.383507I
−0.63720 + 3.37626I 0
u = 0.906499 + 0.467616I
a = 0.101936 + 0.117894I
b = −0.828780 − 1.041650I
3.89808 − 7.70135I 0
u = 0.906499 − 0.467616I
a = 0.101936 − 0.117894I
b = −0.828780 + 1.041650I
3.89808 + 7.70135I 0
u = −0.920973 + 0.441679I
a = −0.0746547 − 0.0361478I
b = −0.96410 + 1.31177I
2.7171 + 16.3636I 0
u = −0.920973 − 0.441679I
a = −0.0746547 + 0.0361478I
b = −0.96410 − 1.31177I
2.7171 − 16.3636I 0
u = −0.431563 + 0.876562I
a = −3.20089 − 1.16991I
b = 1.047510 − 0.091862I
−1.94953 − 1.79271I 0
u = −0.431563 − 0.876562I
a = −3.20089 + 1.16991I
b = 1.047510 + 0.091862I
−1.94953 + 1.79271I 0
u = 0.305606 + 0.978245I
a = 0.709704 − 0.806685I
b = 0.47503 + 1.33783I
−3.90365 − 0.86232I 0
u = 0.305606 − 0.978245I
a = 0.709704 + 0.806685I
b = 0.47503 − 1.33783I
−3.90365 + 0.86232I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.537969 + 0.876020I
a = −0.111044 + 0.845335I
b = −0.65330 − 1.46273I
2.58623 + 5.57819I 0
u = 0.537969 − 0.876020I
a = −0.111044 − 0.845335I
b = −0.65330 + 1.46273I
2.58623 − 5.57819I 0
u = −0.422248 + 0.941029I
a = −1.93427 + 1.91849I
b = 1.76946 − 0.47172I
−3.11518 − 2.10460I 0
u = −0.422248 − 0.941029I
a = −1.93427 − 1.91849I
b = 1.76946 + 0.47172I
−3.11518 + 2.10460I 0
u = −0.893300 + 0.373250I
a = 0.011105 − 0.233458I
b = −0.711696 + 0.565707I
−1.58574 − 1.28213I 0
u = −0.893300 − 0.373250I
a = 0.011105 + 0.233458I
b = −0.711696 − 0.565707I
−1.58574 + 1.28213I 0
u = 0.556619 + 0.778290I
a = 1.77329 + 0.45235I
b = −0.919267 + 0.824154I
2.85872 − 1.14050I 0
u = 0.556619 − 0.778290I
a = 1.77329 − 0.45235I
b = −0.919267 − 0.824154I
2.85872 + 1.14050I 0
u = −0.411300 + 0.958728I
a = 1.80933 − 0.17952I
b = −0.626405 + 0.192231I
−0.77663 − 1.40567I 0
u = −0.411300 − 0.958728I
a = 1.80933 + 0.17952I
b = −0.626405 − 0.192231I
−0.77663 + 1.40567I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.983569 + 0.364070I
a = −0.046607 + 0.360362I
b = 0.231381 + 1.128630I
3.79233 − 3.30850I 0
u = −0.983569 − 0.364070I
a = −0.046607 − 0.360362I
b = 0.231381 − 1.128630I
3.79233 + 3.30850I 0
u = −0.886079 + 0.344808I
a = 0.470930 − 0.154860I
b = 0.446455 − 1.075400I
2.73039 + 1.60695I 0
u = −0.886079 − 0.344808I
a = 0.470930 + 0.154860I
b = 0.446455 + 1.075400I
2.73039 − 1.60695I 0
u = −0.466913 + 0.940277I
a = 1.21517 − 2.20137I
b = −0.173587 − 0.385206I
−0.57533 − 4.06001I 0
u = −0.466913 − 0.940277I
a = 1.21517 + 2.20137I
b = −0.173587 + 0.385206I
−0.57533 + 4.06001I 0
u = 0.958053 + 0.449658I
a = −0.023508 − 0.151872I
b = −0.626957 − 0.900466I
−0.71270 − 7.36796I 0
u = 0.958053 − 0.449658I
a = −0.023508 + 0.151872I
b = −0.626957 + 0.900466I
−0.71270 + 7.36796I 0
u = −0.406179 + 0.979879I
a = 2.35358 − 0.71926I
b = −1.48565 − 1.72258I
−1.86285 + 5.34880I 0
u = −0.406179 − 0.979879I
a = 2.35358 + 0.71926I
b = −1.48565 + 1.72258I
−1.86285 − 5.34880I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.805923 + 0.479818I
a = 0.307147 − 0.417499I
b = 1.127230 + 0.779722I
−0.26681 − 3.66956I 0
u = 0.805923 − 0.479818I
a = 0.307147 + 0.417499I
b = 1.127230 − 0.779722I
−0.26681 + 3.66956I 0
u = −0.862030 + 0.620910I
a = 0.201824 + 0.168437I
b = 0.325227 + 0.897320I
2.36379 − 3.56400I 0
u = −0.862030 − 0.620910I
a = 0.201824 − 0.168437I
b = 0.325227 − 0.897320I
2.36379 + 3.56400I 0
u = −0.441797 + 0.819339I
a = −2.82579 + 2.77992I
b = 0.164809 + 0.206861I
−0.141326 + 0.358780I 0
u = −0.441797 − 0.819339I
a = −2.82579 − 2.77992I
b = 0.164809 − 0.206861I
−0.141326 − 0.358780I 0
u = 0.741317 + 0.555681I
a = −0.031113 + 0.315867I
b = −1.07054 − 1.05471I
4.54088 − 3.50808I 0
u = 0.741317 − 0.555681I
a = −0.031113 − 0.315867I
b = −1.07054 + 1.05471I
4.54088 + 3.50808I 0
u = −0.734527 + 0.561318I
a = 0.214258 + 0.141961I
b = −0.56296 + 1.31436I
6.19282 − 1.66253I 0
u = −0.734527 − 0.561318I
a = 0.214258 − 0.141961I
b = −0.56296 − 1.31436I
6.19282 + 1.66253I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.823184 + 0.701392I
a = 0.053553 + 0.289955I
b = −0.352719 − 0.865316I
5.86500 + 2.45959I 0
u = 0.823184 − 0.701392I
a = 0.053553 − 0.289955I
b = −0.352719 + 0.865316I
5.86500 − 2.45959I 0
u = −0.521954 + 0.947828I
a = −1.246820 + 0.290780I
b = 0.887857 − 0.626038I
−0.05482 − 5.31474I 0
u = −0.521954 − 0.947828I
a = −1.246820 − 0.290780I
b = 0.887857 + 0.626038I
−0.05482 + 5.31474I 0
u = −0.503314 + 0.959727I
a = −1.79453 + 1.63764I
b = 1.11591 + 0.98830I
−2.56601 − 3.16523I 0
u = −0.503314 − 0.959727I
a = −1.79453 − 1.63764I
b = 1.11591 − 0.98830I
−2.56601 + 3.16523I 0
u = −0.485065 + 0.971258I
a = 1.32781 − 2.48948I
b = −2.74821 + 0.98691I
−1.41588 − 11.01190I 0
u = −0.485065 − 0.971258I
a = 1.32781 + 2.48948I
b = −2.74821 − 0.98691I
−1.41588 + 11.01190I 0
u = 0.434775 + 1.010520I
a = −1.85506 − 1.36011I
b = 1.75251 − 0.02324I
−4.68518 + 3.13593I 0
u = 0.434775 − 1.010520I
a = −1.85506 + 1.36011I
b = 1.75251 + 0.02324I
−4.68518 − 3.13593I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.415822 + 1.018930I
a = −1.93159 − 1.31248I
b = 1.38704 − 0.51304I
−4.79017 + 3.14126I 0
u = 0.415822 − 1.018930I
a = −1.93159 + 1.31248I
b = 1.38704 + 0.51304I
−4.79017 − 3.14126I 0
u = 0.423192 + 1.015920I
a = −2.12142 − 1.35009I
b = 1.70253 − 0.53185I
−4.77778 + 3.15386I 0
u = 0.423192 − 1.015920I
a = −2.12142 + 1.35009I
b = 1.70253 + 0.53185I
−4.77778 − 3.15386I 0
u = −0.260888 + 0.855576I
a = −0.773211 + 0.415961I
b = 1.406140 − 0.139772I
−2.53837 − 0.97499I 0
u = −0.260888 − 0.855576I
a = −0.773211 − 0.415961I
b = 1.406140 + 0.139772I
−2.53837 + 0.97499I 0
u = −0.542487 + 0.976455I
a = 0.30086 + 1.51916I
b = 0.424114 + 0.176577I
−0.81455 − 3.00785I 0
u = −0.542487 − 0.976455I
a = 0.30086 − 1.51916I
b = 0.424114 − 0.176577I
−0.81455 + 3.00785I 0
u = −0.487914 + 0.730416I
a = −2.17224 + 0.47808I
b = 0.990990 + 0.178428I
0.669244 + 1.152030I 0
u = −0.487914 − 0.730416I
a = −2.17224 − 0.47808I
b = 0.990990 − 0.178428I
0.669244 − 1.152030I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.923016 + 0.646148I
a = 0.136904 + 0.205086I
b = 0.153111 − 0.770509I
4.72505 − 2.91321I 0
u = −0.923016 − 0.646148I
a = 0.136904 − 0.205086I
b = 0.153111 + 0.770509I
4.72505 + 2.91321I 0
u = −0.796443 + 0.356823I
a = −0.005199 + 0.163950I
b = 0.90109 − 1.30615I
1.42028 + 7.04993I 0
u = −0.796443 − 0.356823I
a = −0.005199 − 0.163950I
b = 0.90109 + 1.30615I
1.42028 − 7.04993I 0
u = 0.924891 + 0.644676I
a = −0.1097850 − 0.0352637I
b = −0.294044 + 0.801988I
3.89547 + 11.56980I 0
u = 0.924891 − 0.644676I
a = −0.1097850 + 0.0352637I
b = −0.294044 − 0.801988I
3.89547 − 11.56980I 0
u = 0.057312 + 0.870519I
a = 1.04558 − 1.73347I
b = −0.118973 + 0.902428I
1.05722 − 2.05158I 0
u = 0.057312 − 0.870519I
a = 1.04558 + 1.73347I
b = −0.118973 − 0.902428I
1.05722 + 2.05158I 0
u = −0.674692 + 0.903559I
a = −1.00028 + 1.10608I
b = 0.367671 + 0.503893I
1.19429 − 3.59060I 0
u = −0.674692 − 0.903559I
a = −1.00028 − 1.10608I
b = 0.367671 − 0.503893I
1.19429 + 3.59060I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.804536 + 0.322574I
a = 0.135217 + 0.205693I
b = −0.220763 − 0.793241I
3.40696 − 0.80923I 0
u = −0.804536 − 0.322574I
a = 0.135217 − 0.205693I
b = −0.220763 + 0.793241I
3.40696 + 0.80923I 0
u = 0.525133 + 1.006770I
a = 1.04682 + 1.85118I
b = −0.715632 + 0.566799I
−1.39769 + 12.47630I 0
u = 0.525133 − 1.006770I
a = 1.04682 − 1.85118I
b = −0.715632 − 0.566799I
−1.39769 − 12.47630I 0
u = 0.417633 + 1.056530I
a = 1.49719 − 0.42341I
b = −0.854092 + 0.134448I
−3.48428 + 8.69076I 0
u = 0.417633 − 1.056530I
a = 1.49719 + 0.42341I
b = −0.854092 − 0.134448I
−3.48428 − 8.69076I 0
u = 0.343386 + 1.088440I
a = 0.037886 + 0.895707I
b = 0.0921589 + 0.0919298I
−3.84714 − 1.57370I 0
u = 0.343386 − 1.088440I
a = 0.037886 − 0.895707I
b = 0.0921589 − 0.0919298I
−3.84714 + 1.57370I 0
u = 0.794000 + 0.325718I
a = 0.069205 + 0.166172I
b = −0.079267 + 1.372600I
5.04218 − 4.27750I 0
u = 0.794000 − 0.325718I
a = 0.069205 − 0.166172I
b = −0.079267 − 1.372600I
5.04218 + 4.27750I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.630149 + 0.954458I
a = 2.21806 − 0.77637I
b = −1.80653 − 1.75384I
1.69762 − 11.17610I 0
u = −0.630149 − 0.954458I
a = 2.21806 + 0.77637I
b = −1.80653 + 1.75384I
1.69762 + 11.17610I 0
u = 0.520570 + 1.018970I
a = −1.52923 − 0.32871I
b = 0.55745 − 1.37316I
−2.19559 + 6.56113I 0
u = 0.520570 − 1.018970I
a = −1.52923 + 0.32871I
b = 0.55745 + 1.37316I
−2.19559 − 6.56113I 0
u = −0.386388 + 0.759787I
a = 2.02560 − 2.50655I
b = −2.61638 + 0.03151I
−0.55822 + 7.29975I 0
u = −0.386388 − 0.759787I
a = 2.02560 + 2.50655I
b = −2.61638 − 0.03151I
−0.55822 − 7.29975I 0
u = 0.512050 + 1.028330I
a = −0.576325 + 0.909729I
b = −0.66471 − 1.52323I
−2.58145 + 7.06251I 0
u = 0.512050 − 1.028330I
a = −0.576325 − 0.909729I
b = −0.66471 + 1.52323I
−2.58145 − 7.06251I 0
u = −0.829220 + 0.800791I
a = 0.148807 − 0.345117I
b = 0.173926 − 0.625226I
1.54651 − 2.00645I 0
u = −0.829220 − 0.800791I
a = 0.148807 + 0.345117I
b = 0.173926 + 0.625226I
1.54651 + 2.00645I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.436063 + 0.721472I
a = 1.27869 − 0.63159I
b = 0.713246 − 0.616805I
−1.73705 − 0.80024I 0
u = −0.436063 − 0.721472I
a = 1.27869 + 0.63159I
b = 0.713246 + 0.616805I
−1.73705 + 0.80024I 0
u = −0.137761 + 1.166250I
a = −0.074661 + 0.661174I
b = 0.703547 − 0.410938I
−2.38525 − 1.32724I 0
u = −0.137761 − 1.166250I
a = −0.074661 − 0.661174I
b = 0.703547 + 0.410938I
−2.38525 + 1.32724I 0
u = 0.784809 + 0.879548I
a = 0.524077 + 0.775988I
b = −1.127730 − 0.238149I
5.56302 + 2.94937I 0
u = 0.784809 − 0.879548I
a = 0.524077 − 0.775988I
b = −1.127730 + 0.238149I
5.56302 − 2.94937I 0
u = 0.693900 + 0.955614I
a = 1.294850 + 0.370001I
b = −0.823741 + 0.742873I
5.08668 + 3.19136I 0
u = 0.693900 − 0.955614I
a = 1.294850 − 0.370001I
b = −0.823741 − 0.742873I
5.08668 − 3.19136I 0
u = −0.318039 + 1.143680I
a = −1.28923 − 0.79711I
b = 0.31701 + 1.44744I
−1.16292 − 7.09256I 0
u = −0.318039 − 1.143680I
a = −1.28923 + 0.79711I
b = 0.31701 − 1.44744I
−1.16292 + 7.09256I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.256634 + 1.164410I
a = −0.96899 − 1.12098I
b = 1.058520 + 0.657314I
−4.54872 + 0.01030I 0
u = 0.256634 − 1.164410I
a = −0.96899 + 1.12098I
b = 1.058520 − 0.657314I
−4.54872 − 0.01030I 0
u = −0.550218 + 0.585023I
a = 0.921568 − 0.626729I
b = 0.283106 + 0.177093I
0.32153 − 1.40895I 0
u = −0.550218 − 0.585023I
a = 0.921568 + 0.626729I
b = 0.283106 − 0.177093I
0.32153 + 1.40895I 0
u = 0.083314 + 1.194530I
a = −1.42378 − 0.53190I
b = 1.291400 + 0.006219I
−5.85326 − 1.50971I 0
u = 0.083314 − 1.194530I
a = −1.42378 + 0.53190I
b = 1.291400 − 0.006219I
−5.85326 + 1.50971I 0
u = 0.698007 + 0.387439I
a = 0.384063 + 0.244982I
b = 0.720667 + 1.030830I
−0.20401 − 2.67270I 0
u = 0.698007 − 0.387439I
a = 0.384063 − 0.244982I
b = 0.720667 − 1.030830I
−0.20401 + 2.67270I 0
u = 0.445520 + 1.117170I
a = 1.23218 − 0.92084I
b = −0.215051 + 1.234230I
1.13547 − 1.21422I 0
u = 0.445520 − 1.117170I
a = 1.23218 + 0.92084I
b = −0.215051 − 1.234230I
1.13547 + 1.21422I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.625262 + 1.030810I
a = 2.19062 − 0.26406I
b = −0.755652 − 1.190170I
4.79313 − 3.52888I 0
u = −0.625262 − 1.030810I
a = 2.19062 + 0.26406I
b = −0.755652 + 1.190170I
4.79313 + 3.52888I 0
u = 0.537730 + 0.584218I
a = −0.293474 + 0.248432I
b = 0.076367 − 1.331240I
2.79083 + 5.05823I 0
u = 0.537730 − 0.584218I
a = −0.293474 − 0.248432I
b = 0.076367 + 1.331240I
2.79083 − 5.05823I 0
u = 0.650724 + 1.016010I
a = 1.327610 + 0.383494I
b = −0.692990 + 0.255714I
3.06793 + 7.18467I 0
u = 0.650724 − 1.016010I
a = 1.327610 − 0.383494I
b = −0.692990 − 0.255714I
3.06793 − 7.18467I 0
u = 0.625558 + 1.036840I
a = 2.03974 + 0.78662I
b = −1.44214 + 1.01916I
3.10318 + 8.71889I 0
u = 0.625558 − 1.036840I
a = 2.03974 − 0.78662I
b = −1.44214 − 1.01916I
3.10318 − 8.71889I 0
u = 0.659155 + 1.025050I
a = −1.99175 − 0.39065I
b = 0.527997 − 0.973074I
4.28238 + 12.49640I 0
u = 0.659155 − 1.025050I
a = −1.99175 + 0.39065I
b = 0.527997 + 0.973074I
4.28238 − 12.49640I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.706226 + 0.997746I
a = 1.060530 + 0.125892I
b = 0.081925 − 0.597376I
1.22389 − 2.23491I 0
u = −0.706226 − 0.997746I
a = 1.060530 − 0.125892I
b = 0.081925 + 0.597376I
1.22389 + 2.23491I 0
u = −0.216266 + 1.206430I
a = −0.72421 + 1.57219I
b = 0.932110 − 0.790788I
−3.51808 + 4.12145I 0
u = −0.216266 − 1.206430I
a = −0.72421 − 1.57219I
b = 0.932110 + 0.790788I
−3.51808 − 4.12145I 0
u = −0.012784 + 0.771712I
a = 2.23970 + 1.20106I
b = −0.745935 + 0.078524I
−0.54236 − 3.14286I 0
u = −0.012784 − 0.771712I
a = 2.23970 − 1.20106I
b = −0.745935 − 0.078524I
−0.54236 + 3.14286I 0
u = −0.883538 + 0.867345I
a = −0.206471 + 0.582579I
b = 0.785560 − 0.315087I
4.54421 − 3.25446I 0
u = −0.883538 − 0.867345I
a = −0.206471 − 0.582579I
b = 0.785560 + 0.315087I
4.54421 + 3.25446I 0
u = −0.733172 + 0.998534I
a = −0.963131 + 0.210142I
b = 0.642444 + 0.836886I
3.67110 − 3.11861I 0
u = −0.733172 − 0.998534I
a = −0.963131 − 0.210142I
b = 0.642444 − 0.836886I
3.67110 + 3.11861I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.583223 + 1.099760I
a = −1.81178 − 0.36119I
b = 1.00089 − 1.22938I
−2.26178 + 7.63337I 0
u = 0.583223 − 1.099760I
a = −1.81178 + 0.36119I
b = 1.00089 + 1.22938I
−2.26178 − 7.63337I 0
u = 0.059787 + 1.255370I
a = −1.05212 − 1.18311I
b = 1.017260 + 0.937600I
−4.73606 − 5.18184I 0
u = 0.059787 − 1.255370I
a = −1.05212 + 1.18311I
b = 1.017260 − 0.937600I
−4.73606 + 5.18184I 0
u = 0.008393 + 1.269630I
a = 1.004850 + 0.758200I
b = −0.741797 − 0.491677I
−2.51291 − 5.18471I 0
u = 0.008393 − 1.269630I
a = 1.004850 − 0.758200I
b = −0.741797 + 0.491677I
−2.51291 + 5.18471I 0
u = 0.645624 + 1.094790I
a = −1.62077 − 0.73726I
b = 1.52102 − 0.89081I
−2.08947 + 9.13030I 0
u = 0.645624 − 1.094790I
a = −1.62077 + 0.73726I
b = 1.52102 + 0.89081I
−2.08947 − 9.13030I 0
u = −0.597284 + 1.128720I
a = −2.20682 + 0.12838I
b = 1.18882 + 1.36813I
−0.84738 − 12.27200I 0
u = −0.597284 − 1.128720I
a = −2.20682 − 0.12838I
b = 1.18882 − 1.36813I
−0.84738 + 12.27200I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.055204 + 1.294340I
a = 1.03117 − 1.10598I
b = −1.005430 + 0.824625I
−3.58503 + 13.52800I 0
u = −0.055204 − 1.294340I
a = 1.03117 + 1.10598I
b = −1.005430 − 0.824625I
−3.58503 − 13.52800I 0
u = 0.806605 + 1.021390I
a = −0.678744 + 0.205679I
b = −0.051685 − 0.463776I
2.77067 − 5.30062I 0
u = 0.806605 − 1.021390I
a = −0.678744 − 0.205679I
b = −0.051685 + 0.463776I
2.77067 + 5.30062I 0
u = 0.585772 + 1.165230I
a = −1.35331 + 0.68134I
b = 0.161784 − 1.362500I
2.53926 + 9.47832I 0
u = 0.585772 − 1.165230I
a = −1.35331 − 0.68134I
b = 0.161784 + 1.362500I
2.53926 − 9.47832I 0
u = 0.651564 + 1.130940I
a = −2.07170 − 0.30235I
b = 1.09816 − 1.53007I
−0.73705 + 13.48130I 0
u = 0.651564 − 1.130940I
a = −2.07170 + 0.30235I
b = 1.09816 + 1.53007I
−0.73705 − 13.48130I 0
u = −0.630285 + 1.144050I
a = 1.37032 − 0.39750I
b = −1.032370 − 0.690671I
−3.89188 − 4.28988I 0
u = −0.630285 − 1.144050I
a = 1.37032 + 0.39750I
b = −1.032370 + 0.690671I
−3.89188 + 4.28988I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.665947 + 1.128320I
a = 1.79122 + 0.36732I
b = −1.06427 + 1.07628I
1.88557 + 13.48000I 0
u = 0.665947 − 1.128320I
a = 1.79122 − 0.36732I
b = −1.06427 − 1.07628I
1.88557 − 13.48000I 0
u = 0.155374 + 0.667658I
a = 1.72707 + 0.87289I
b = 0.005242 + 0.628193I
−0.49619 − 2.61762I 0
u = 0.155374 − 0.667658I
a = 1.72707 − 0.87289I
b = 0.005242 − 0.628193I
−0.49619 + 2.61762I 0
u = −0.056197 + 1.319680I
a = 0.936016 − 0.035361I
b = −0.826256 − 0.174596I
−7.61862 − 4.45098I 0
u = −0.056197 − 1.319680I
a = 0.936016 + 0.035361I
b = −0.826256 + 0.174596I
−7.61862 + 4.45098I 0
u = −0.661615 + 1.144150I
a = 2.00164 − 0.31982I
b = −1.17102 − 1.41359I
0.5754 − 22.1632I 0
u = −0.661615 − 1.144150I
a = 2.00164 + 0.31982I
b = −1.17102 + 1.41359I
0.5754 + 22.1632I 0
u = 0.410426 + 0.539249I
a = −1.25274 − 1.88700I
b = −0.656287 − 0.083444I
−0.01031 − 8.32990I 0
u = 0.410426 − 0.539249I
a = −1.25274 + 1.88700I
b = −0.656287 + 0.083444I
−0.01031 + 8.32990I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.603230 + 1.182640I
a = −0.692427 − 0.342444I
b = 0.262153 + 0.672899I
0.83365 − 4.48697I 0
u = −0.603230 − 1.182640I
a = −0.692427 + 0.342444I
b = 0.262153 − 0.672899I
0.83365 + 4.48697I 0
u = 0.668118 + 0.009197I
a = −0.010699 − 1.207680I
b = −0.315842 + 0.532684I
−0.54782 + 5.10871I 0
u = 0.668118 − 0.009197I
a = −0.010699 + 1.207680I
b = −0.315842 − 0.532684I
−0.54782 − 5.10871I 0
u = 0.675246 + 1.150220I
a = 1.43463 + 0.39598I
b = −0.828906 + 1.027480I
−2.86346 + 13.30770I 0
u = 0.675246 − 1.150220I
a = 1.43463 − 0.39598I
b = −0.828906 − 1.027480I
−2.86346 − 13.30770I 0
u = −0.651840 + 1.164750I
a = −1.70441 + 0.03640I
b = 0.93139 + 1.24040I
1.48457 − 12.57520I 0
u = −0.651840 − 1.164750I
a = −1.70441 − 0.03640I
b = 0.93139 − 1.24040I
1.48457 + 12.57520I 0
u = −0.135964 + 1.328820I
a = −0.463449 + 0.973630I
b = 0.621666 − 0.650342I
−2.21957 + 3.46316I 0
u = −0.135964 − 1.328820I
a = −0.463449 − 0.973630I
b = 0.621666 + 0.650342I
−2.21957 − 3.46316I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.709066 + 1.136930I
a = 0.898264 + 0.099612I
b = −0.032707 − 0.908894I
1.51380 − 2.83608I 0
u = −0.709066 − 1.136930I
a = 0.898264 − 0.099612I
b = −0.032707 + 0.908894I
1.51380 + 2.83608I 0
u = −0.649042 + 1.185650I
a = −1.189130 + 0.055392I
b = 0.69123 + 1.23622I
0.19854 − 7.27606I 0
u = −0.649042 − 1.185650I
a = −1.189130 − 0.055392I
b = 0.69123 − 1.23622I
0.19854 + 7.27606I 0
u = −0.383006 + 0.521106I
a = 0.907321 − 0.323375I
b = 0.058074 + 0.407514I
0.20395 − 1.41512I 0
u = −0.383006 − 0.521106I
a = 0.907321 + 0.323375I
b = 0.058074 − 0.407514I
0.20395 + 1.41512I 0
u = 0.444286 + 0.320256I
a = 1.04567 + 1.82059I
b = −0.431831 + 0.824303I
−0.81186 − 2.97891I 0
u = 0.444286 − 0.320256I
a = 1.04567 − 1.82059I
b = −0.431831 − 0.824303I
−0.81186 + 2.97891I 0
u = 0.425107 + 0.292017I
a = 0.79888 + 1.29759I
b = 0.466737 + 0.756005I
−0.51288 − 2.47453I 0
u = 0.425107 − 0.292017I
a = 0.79888 − 1.29759I
b = 0.466737 − 0.756005I
−0.51288 + 2.47453I 0
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.03760 + 1.57845I
a = 0.197854 + 0.093618I
b = −0.268935 − 0.232589I
−7.88338 − 4.32397I 0
u = −0.03760 − 1.57845I
a = 0.197854 − 0.093618I
b = −0.268935 + 0.232589I
−7.88338 + 4.32397I 0
u = −0.365213 + 0.094430I
a = 1.99637 − 0.66640I
b = −0.532655 + 0.015515I
1.18839 − 1.52097I 3.85783 + 5.70423I
u = −0.365213 − 0.094430I
a = 1.99637 + 0.66640I
b = −0.532655 − 0.015515I
1.18839 + 1.52097I 3.85783 − 5.70423I
u = 0.365248 + 0.009709I
a = 0.888124 + 0.718246I
b = 1.189460 + 0.071244I
−2.50442 − 0.01365I −8.46272 − 0.33799I
u = 0.365248 − 0.009709I
a = 0.888124 − 0.718246I
b = 1.189460 − 0.071244I
−2.50442 + 0.01365I −8.46272 + 0.33799I
u = 0.364761
a = 0.626219
b = 1.25973
−2.51567 −10.9340
u = −0.139955 + 0.273184I
a = −3.95214 − 1.93483I
b = −1.058350 + 0.402350I
−0.20550 − 8.26599I −0.18612 + 7.30559I
u = −0.139955 − 0.273184I
a = −3.95214 + 1.93483I
b = −1.058350 − 0.402350I
−0.20550 + 8.26599I −0.18612 − 7.30559I
25
II. I
u
2
= h−5.62 × 10
24
u
44
− 2.14 × 10
24
u
43
+ · · · + 1.91 × 10
24
b − 4.18 ×
10
24
, 1.39 × 10
25
u
44
− 7.73 × 10
23
u
43
+ · · · + 1.91 × 10
24
a − 1.68 ×
10
25
, u
45
+ 13u
43
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−7.25091u
44
+ 0.404228u
43
+ ··· + 21.2648u + 8.78400
2.94152u
44
+ 1.12101u
43
+ ··· + 10.1558u + 2.18812
a
11
=
−7.06517u
44
+ 0.996751u
43
+ ··· + 23.8424u + 8.91852
1.66861u
44
+ 0.397112u
43
+ ··· + 12.5877u + 3.09658
a
5
=
8.38704u
44
− 9.65342u
43
+ ··· − 50.4739u − 15.3123
−5.03033u
44
+ 2.96729u
43
+ ··· + 7.11747u + 2.70491
a
9
=
−4.30938u
44
+ 1.52524u
43
+ ··· + 31.4206u + 10.9721
2.94152u
44
+ 1.12101u
43
+ ··· + 10.1558u + 2.18812
a
4
=
5.91708u
44
− 1.28881u
43
+ ··· − 32.6205u − 10.9348
0.650179u
44
+ 0.740233u
43
+ ··· + 1.11248u − 1.41561
a
8
=
−1.85215u
44
+ 3.47338u
43
+ ··· + 43.5599u + 11.5958
−2.87445u
44
+ 1.84880u
43
+ ··· + 6.58377u + 0.174312
a
12
=
−11.5134u
44
− 8.41274u
43
+ ··· − 13.0063u + 1.28858
3.70276u
44
+ 0.579805u
43
+ ··· + 1.77966u + 0.175320
(ii) Obstruction class = 1
(iii) Cusp Shapes =
147081596293130545361427697
1911265249517824527368543
u
44
−
11724917414386156126035075
1911265249517824527368543
u
43
+
··· −
512595958334842078481904837
1911265249517824527368543
u −
161222640603836113608231864
1911265249517824527368543
26
(iv) u-Polynomials at the component
27
Crossings u-Polynomials at each crossing
c
1
u
45
− 26u
44
+ ··· + 11u + 1
c
2
u
45
+ 13u
43
+ ··· + 3u − 1
c
3
u
45
− 4u
44
+ ··· − 8u − 1
c
4
u
45
− u
44
+ ··· + 6u − 1
c
5
u
45
− 2u
44
+ ··· − 3u − 1
c
6
u
45
+ 13u
43
+ ··· + 3u + 1
c
7
u
45
− 4u
44
+ ··· − 27u − 1
c
8
u
45
− 19u
44
+ ··· − 8u − 1
c
9
u
45
+ 10u
44
+ ··· + 3u + 1
c
10
u
45
+ 10u
44
+ ··· + 3u + 1
c
11
u
45
− u
44
+ ··· − 3u − 1
c
12
u
45
− 4u
44
+ ··· − 14u + 1
28
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
45
+ 2y
44
+ ··· + 887y −1
c
2
, c
6
y
45
+ 26y
44
+ ··· + 11y −1
c
3
y
45
+ 6y
44
+ ··· − 72y −1
c
4
y
45
+ 7y
44
+ ··· − 14y −1
c
5
y
45
− 8y
44
+ ··· − 83y −1
c
7
y
45
− 18y
44
+ ··· + 155y −1
c
8
y
45
− 23y
44
+ ··· + 52y −1
c
9
y
45
− 24y
44
+ ··· − 19y −1
c
10
y
45
− 30y
44
+ ··· + 11y −1
c
11
y
45
+ 17y
44
+ ··· + y −1
c
12
y
45
+ 10y
44
+ ··· − 64y −1
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.384450 + 0.949585I
a = 0.430071 − 0.753616I
b = −1.54475 + 0.62895I
−1.32753 − 9.90696I −1.70890 + 8.40893I
u = −0.384450 − 0.949585I
a = 0.430071 + 0.753616I
b = −1.54475 − 0.62895I
−1.32753 + 9.90696I −1.70890 − 8.40893I
u = 0.849542 + 0.472396I
a = −0.170752 − 0.333583I
b = 0.144665 − 1.130420I
3.47276 + 3.37395I 0.67323 − 8.27407I
u = 0.849542 − 0.472396I
a = −0.170752 + 0.333583I
b = 0.144665 + 1.130420I
3.47276 − 3.37395I 0.67323 + 8.27407I
u = 0.422348 + 0.874663I
a = −2.86912 + 1.14826I
b = 1.035950 + 0.082025I
−1.95552 + 1.76802I −6.0436 + 118.4125I
u = 0.422348 − 0.874663I
a = −2.86912 − 1.14826I
b = 1.035950 − 0.082025I
−1.95552 − 1.76802I −6.0436 − 118.4125I
u = −0.869443 + 0.408005I
a = −0.0536302 + 0.0554893I
b = 0.717457 − 1.209660I
2.59602 + 6.79849I 2.81074 − 6.00607I
u = −0.869443 − 0.408005I
a = −0.0536302 − 0.0554893I
b = 0.717457 + 1.209660I
2.59602 − 6.79849I 2.81074 + 6.00607I
u = −0.740144 + 0.745979I
a = −0.314565 − 0.426332I
b = −0.996825 + 0.697298I
1.34744 + 5.73994I 0. − 5.37434I
u = −0.740144 − 0.745979I
a = −0.314565 + 0.426332I
b = −0.996825 − 0.697298I
1.34744 − 5.73994I 0. + 5.37434I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.432712 + 0.970154I
a = −1.25712 − 1.29032I
b = 0.167318 − 0.310728I
−0.64267 + 3.91663I 6.39880 + 2.89343I
u = 0.432712 − 0.970154I
a = −1.25712 + 1.29032I
b = 0.167318 + 0.310728I
−0.64267 − 3.91663I 6.39880 − 2.89343I
u = −0.380808 + 0.848898I
a = 2.67921 − 2.17488I
b = −2.01328 − 0.25313I
−0.97007 + 6.73190I −3.34971 − 2.37226I
u = −0.380808 − 0.848898I
a = 2.67921 + 2.17488I
b = −2.01328 + 0.25313I
−0.97007 − 6.73190I −3.34971 + 2.37226I
u = 0.431132 + 0.813101I
a = 2.57190 + 2.54617I
b = −0.162987 + 0.172499I
−0.156686 − 0.381983I −58.4769 + 82.5568I
u = 0.431132 − 0.813101I
a = 2.57190 − 2.54617I
b = −0.162987 − 0.172499I
−0.156686 + 0.381983I −58.4769 − 82.5568I
u = 0.168371 + 1.077620I
a = −1.61626 − 0.72937I
b = 1.144580 + 0.424584I
−4.47710 + 0.76877I −6.95366 − 4.38678I
u = 0.168371 − 1.077620I
a = −1.61626 + 0.72937I
b = 1.144580 − 0.424584I
−4.47710 − 0.76877I −6.95366 + 4.38678I
u = −0.441542 + 1.006750I
a = −2.39984 + 1.83309I
b = 2.14293 + 0.45282I
−4.01588 − 3.05230I −3.30139 + 4.98312I
u = −0.441542 − 1.006750I
a = −2.39984 − 1.83309I
b = 2.14293 − 0.45282I
−4.01588 + 3.05230I −3.30139 − 4.98312I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.017032 + 1.118730I
a = −0.105796 + 0.595647I
b = 0.653947 − 0.099886I
−2.30059 − 1.79597I 0. + 11.41036I
u = 0.017032 − 1.118730I
a = −0.105796 − 0.595647I
b = 0.653947 + 0.099886I
−2.30059 + 1.79597I 0. − 11.41036I
u = −0.627209 + 0.941611I
a = 1.47721 − 1.45062I
b = −1.61235 − 0.73616I
0.73757 − 10.93940I 0. + 10.46454I
u = −0.627209 − 0.941611I
a = 1.47721 + 1.45062I
b = −1.61235 + 0.73616I
0.73757 + 10.93940I 0. − 10.46454I
u = −0.824448 + 0.881646I
a = −0.468629 + 0.839886I
b = 1.228710 − 0.181895I
5.10085 − 3.06423I 0
u = −0.824448 − 0.881646I
a = −0.468629 − 0.839886I
b = 1.228710 + 0.181895I
5.10085 + 3.06423I 0
u = −0.164326 + 0.753741I
a = −0.099337 + 0.922002I
b = 1.35579 − 0.58358I
−2.63176 − 0.02746I −3.99148 − 0.54345I
u = −0.164326 − 0.753741I
a = −0.099337 − 0.922002I
b = 1.35579 + 0.58358I
−2.63176 + 0.02746I −3.99148 + 0.54345I
u = 0.915761 + 0.843238I
a = 0.175396 + 0.425861I
b = −0.512460 − 0.335998I
4.70194 + 3.33544I 0
u = 0.915761 − 0.843238I
a = 0.175396 − 0.425861I
b = −0.512460 + 0.335998I
4.70194 − 3.33544I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.153250 + 1.238860I
a = −0.71960 + 1.23111I
b = 0.754245 − 0.682047I
−3.00583 + 3.93689I 0
u = −0.153250 − 1.238860I
a = −0.71960 − 1.23111I
b = 0.754245 + 0.682047I
−3.00583 − 3.93689I 0
u = 0.561537 + 1.169860I
a = −1.380170 + 0.156294I
b = 0.71571 − 1.39844I
−0.22556 + 7.38195I 0
u = 0.561537 − 1.169860I
a = −1.380170 − 0.156294I
b = 0.71571 + 1.39844I
−0.22556 − 7.38195I 0
u = −0.635659 + 1.139880I
a = −1.90080 + 0.11731I
b = 0.96142 + 1.28951I
0.39604 − 12.36660I 0
u = −0.635659 − 1.139880I
a = −1.90080 − 0.11731I
b = 0.96142 − 1.28951I
0.39604 + 12.36660I 0
u = 0.772744 + 1.051810I
a = 0.826136 + 0.091097I
b = −0.025042 + 0.794343I
1.79042 + 2.67084I 0
u = 0.772744 − 1.051810I
a = 0.826136 − 0.091097I
b = −0.025042 − 0.794343I
1.79042 − 2.67084I 0
u = 0.346170 + 0.510786I
a = 2.04992 − 0.27951I
b = 0.14082 + 1.59693I
2.31672 − 3.26344I 3.80997 + 5.54330I
u = 0.346170 − 0.510786I
a = 2.04992 + 0.27951I
b = 0.14082 − 1.59693I
2.31672 + 3.26344I 3.80997 − 5.54330I
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.344499 + 0.428602I
a = −2.39934 + 0.03478I
b = 0.174162 + 0.364793I
−0.06360 + 2.97633I 9.58570 − 8.09179I
u = 0.344499 − 0.428602I
a = −2.39934 − 0.03478I
b = 0.174162 − 0.364793I
−0.06360 − 2.97633I 9.58570 + 8.09179I
u = 0.05025 + 1.60337I
a = 0.064120 − 0.155044I
b = −0.172934 + 0.263327I
−7.82431 + 4.30557I 0
u = 0.05025 − 1.60337I
a = 0.064120 + 0.155044I
b = −0.172934 − 0.263327I
−7.82431 − 4.30557I 0
u = −0.181648
a = 2.96199
b = 1.40585
−2.17460 12.7770
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
45
− 26u
44
+ ··· + 11u + 1)(u
209
+ 95u
208
+ ··· − 21355u − 961)
c
2
(u
45
+ 13u
43
+ ··· + 3u − 1)(u
209
− u
208
+ ··· + 157u + 31)
c
3
(u
45
− 4u
44
+ ··· − 8u − 1)(u
209
+ u
208
+ ··· + 1.04191 × 10
7
u + 304643)
c
4
(u
45
− u
44
+ ··· + 6u − 1)(u
209
+ 6u
208
+ ··· − 116u + 8)
c
5
(u
45
− 2u
44
+ ··· − 3u − 1)(u
209
− u
208
+ ··· + 2641791u + 518269)
c
6
(u
45
+ 13u
43
+ ··· + 3u + 1)(u
209
− u
208
+ ··· + 157u + 31)
c
7
(u
45
− 4u
44
+ ··· − 27u − 1)(u
209
+ 3u
208
+ ··· + 41u + 1)
c
8
(u
45
− 19u
44
+ ··· − 8u − 1)(u
209
+ 10u
208
+ ··· − 360u + 13)
c
9
(u
45
+ 10u
44
+ ··· + 3u + 1)
· (u
209
+ 5u
208
+ ··· + 23494787u + 2058527)
c
10
(u
45
+ 10u
44
+ ··· + 3u + 1)(u
209
− 5u
208
+ ··· + 23728u + 1856)
c
11
(u
45
− u
44
+ ··· − 3u − 1)(u
209
+ 4u
208
+ ··· + 71u − 173)
c
12
(u
45
− 4u
44
+ ··· − 14u + 1)(u
209
+ 3u
208
+ ··· + 132u + 1)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
45
+ 2y
44
+ ··· + 887y −1)
· (y
209
+ 55y
208
+ ··· + 62744853y −923521)
c
2
, c
6
(y
45
+ 26y
44
+ ··· + 11y −1)(y
209
+ 95y
208
+ ··· − 21355y −961)
c
3
(y
45
+ 6y
44
+ ··· − 72y −1)
· (y
209
+ 47y
208
+ ··· − 7664051227998y −92807357449)
c
4
(y
45
+ 7y
44
+ ··· − 14y −1)(y
209
+ 28y
208
+ ··· − 2608y −64)
c
5
(y
45
− 8y
44
+ ··· − 83y −1)
· (y
209
+ 29y
208
+ ··· − 14754978917513y −268602756361)
c
7
(y
45
− 18y
44
+ ··· + 155y −1)(y
209
− 13y
208
+ ··· + 169y −1)
c
8
(y
45
− 23y
44
+ ··· + 52y −1)(y
209
− 14y
208
+ ··· − 67974y −169)
c
9
(y
45
− 24y
44
+ ··· − 19y −1)
· (y
209
+ y
208
+ ··· − 123218028405125y −4237533409729)
c
10
(y
45
− 30y
44
+ ··· + 11y −1)
· (y
209
− 37y
208
+ ··· + 94845696y −3444736)
c
11
(y
45
+ 17y
44
+ ··· + y −1)(y
209
− 2y
208
+ ··· + 2076543y −29929)
c
12
(y
45
+ 10y
44
+ ··· − 64y −1)(y
209
− 41y
208
+ ··· + 5070y −1)
37
