12a
1192
(K12a
1192
)
A knot diagram
1
Linearized knot diagam
4 10 11 9 2 3 12 1 5 6 8 7
Solving Sequence
2,5 6,9
10 3 7 11 4 1 8 12
c
5
c
9
c
2
c
6
c
10
c
4
c
1
c
8
c
12
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.14046 × 10
797
u
134
+ 7.10704 × 10
797
u
133
+ ··· + 1.10208 × 10
791
b + 1.52232 × 10
797
,
2.52302 × 10
798
u
134
− 6.68142 × 10
798
u
133
+ ··· + 1.10208 × 10
791
a + 4.59952 × 10
798
,
u
135
− 3u
134
+ ··· + 34u − 1i
I
u
2
= h226464710u
21
− 557699915u
20
+ ··· + 334625059b + 512910644,
985188919589906u
21
− 1767028920893903u
20
+ ··· + 2608796188599443a + 5274270817374945,
u
22
− 2u
21
+ ··· + 7u + 1i
* 2 irreducible components of dim
C
= 0, with total 157 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−3.14 × 10
797
u
134
+ 7.11 × 10
797
u
133
+ · · · + 1.10 × 10
791
b + 1.52 ×
10
797
, 2.52 × 10
798
u
134
− 6.68 × 10
798
u
133
+ · · · + 1.10 × 10
791
a + 4.60 ×
10
798
, u
135
− 3u
134
+ · · · + 34u − 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
9
=
−2.28932 × 10
7
u
134
+ 6.06254 × 10
7
u
133
+ ··· + 1.39248 × 10
9
u − 4.17348 × 10
7
2.84957 × 10
6
u
134
− 6.44874 × 10
6
u
133
+ ··· + 2.44178 × 10
7
u − 1.38132 × 10
6
a
10
=
−2.00436 × 10
7
u
134
+ 5.41767 × 10
7
u
133
+ ··· + 1.41690 × 10
9
u − 4.31162 × 10
7
2.84957 × 10
6
u
134
− 6.44874 × 10
6
u
133
+ ··· + 2.44178 × 10
7
u − 1.38132 × 10
6
a
3
=
773762.u
134
− 2.08084 × 10
6
u
133
+ ··· − 6.02914 × 10
7
u + 1.86749 × 10
6
−178328.u
134
+ 397315.u
133
+ ··· + 4.37900 × 10
6
u − 122221.
a
7
=
−626624.u
134
+ 1.63753 × 10
6
u
133
+ ··· + 2.75411 × 10
7
u − 759619.
88780.4u
134
− 129429.u
133
+ ··· + 5.71635 × 10
6
u − 194638.
a
11
=
−2.34698 × 10
7
u
134
+ 6.29580 × 10
7
u
133
+ ··· + 1.57488 × 10
9
u − 4.76890 × 10
7
2.42821 × 10
6
u
134
− 5.21868 × 10
6
u
133
+ ··· + 7.18985 × 10
7
u − 2.87858 × 10
6
a
4
=
145988.u
134
− 489201.u
133
+ ··· − 2.54112 × 10
7
u + 819242.
−268209.u
134
+ 677536.u
133
+ ··· + 1.88772 × 10
7
u − 595757.
a
1
=
789912.u
134
− 2.02803 × 10
6
u
133
+ ··· − 3.64636 × 10
7
u + 1.03824 × 10
6
18138.2u
134
− 140403.u
133
+ ··· − 1.35309 × 10
7
u + 443060.
a
8
=
2.40816 × 10
7
u
134
− 6.99553 × 10
7
u
133
+ ··· − 2.52277 × 10
9
u + 7.88766 × 10
7
−7.24295 × 10
6
u
134
+ 1.86957 × 10
7
u
133
+ ··· + 3.49936 × 10
8
u − 1.01956 × 10
7
a
12
=
−8.35142 × 10
6
u
134
+ 2.38578 × 10
7
u
133
+ ··· + 9.08734 × 10
8
u − 2.87215 × 10
7
1.60252 × 10
6
u
134
− 4.07114 × 10
6
u
133
+ ··· − 5.89469 × 10
7
u + 1.59194 × 10
6
(ii) Obstruction class = −1
(iii) Cusp Shapes
= 1.04402 × 10
7
u
134
− 2.72921 × 10
7
u
133
+ ··· − 5.20718 × 10
8
u + 1.50984 × 10
7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
135
+ 2u
134
+ ··· − 28271u − 1457
c
2
u
135
+ 3u
134
+ ··· − 10011u + 2809
c
3
u
135
+ u
133
+ ··· + 378u − 49
c
4
, c
9
u
135
− 50u
133
+ ··· + 1400u + 449
c
5
u
135
− 3u
134
+ ··· + 34u − 1
c
6
u
135
− 4u
134
+ ··· − 9766u − 1789
c
7
, c
11
, c
12
u
135
+ 58u
133
+ ··· − u + 1
c
8
u
135
− 27u
133
+ ··· − 18053u + 20329
c
10
u
135
− 3u
134
+ ··· − 274u + 31
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
135
+ 34y
134
+ ··· + 1958158897y −2122849
c
2
y
135
− 33y
134
+ ··· + 545632015y −7890481
c
3
y
135
+ 2y
134
+ ··· + 38416y −2401
c
4
, c
9
y
135
− 100y
134
+ ··· − 1149774y −201601
c
5
y
135
+ 13y
134
+ ··· + 52y −1
c
6
y
135
− 18y
134
+ ··· + 159785912y −3200521
c
7
, c
11
, c
12
y
135
+ 116y
134
+ ··· + 173y −1
c
8
y
135
− 54y
134
+ ··· + 68531901341y −413268241
c
10
y
135
− 15y
134
+ ··· + 84314y −961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113265 + 0.987669I
a = 0.681297 − 0.821913I
b = 0.117752 + 0.128516I
2.85172 + 4.49757I 0
u = 0.113265 − 0.987669I
a = 0.681297 + 0.821913I
b = 0.117752 − 0.128516I
2.85172 − 4.49757I 0
u = 0.860645 + 0.535066I
a = 0.441767 + 0.703810I
b = −1.340190 − 0.049080I
7.03467 + 0.12261I 0
u = 0.860645 − 0.535066I
a = 0.441767 − 0.703810I
b = −1.340190 + 0.049080I
7.03467 − 0.12261I 0
u = 0.735782 + 0.648575I
a = 0.980427 + 0.139573I
b = −0.760865 − 0.699325I
−4.21596 + 3.62972I 0
u = 0.735782 − 0.648575I
a = 0.980427 − 0.139573I
b = −0.760865 + 0.699325I
−4.21596 − 3.62972I 0
u = 0.814772 + 0.641752I
a = 0.470909 − 0.439347I
b = −0.016937 − 0.591112I
−1.19670 − 4.78867I 0
u = 0.814772 − 0.641752I
a = 0.470909 + 0.439347I
b = −0.016937 + 0.591112I
−1.19670 + 4.78867I 0
u = −1.037490 + 0.121745I
a = 0.664354 + 0.132282I
b = 0.680662 − 0.447198I
−7.16367 − 0.20216I 0
u = −1.037490 − 0.121745I
a = 0.664354 − 0.132282I
b = 0.680662 + 0.447198I
−7.16367 + 0.20216I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.025180 + 0.259325I
a = −0.259943 − 0.174105I
b = −0.143730 − 0.472481I
−2.40598 + 0.14159I 0
u = −1.025180 − 0.259325I
a = −0.259943 + 0.174105I
b = −0.143730 + 0.472481I
−2.40598 − 0.14159I 0
u = 0.860643 + 0.635709I
a = −0.318139 − 0.091658I
b = 0.147156 + 1.083470I
−8.47427 − 4.94689I 0
u = 0.860643 − 0.635709I
a = −0.318139 + 0.091658I
b = 0.147156 − 1.083470I
−8.47427 + 4.94689I 0
u = 0.848167 + 0.677959I
a = 0.059643 − 0.226540I
b = 0.212499 − 0.913993I
−1.32260 − 5.18863I 0
u = 0.848167 − 0.677959I
a = 0.059643 + 0.226540I
b = 0.212499 + 0.913993I
−1.32260 + 5.18863I 0
u = 0.710926 + 0.574691I
a = −0.282155 − 0.857578I
b = 1.272440 + 0.106550I
2.95940 + 4.07309I 0
u = 0.710926 − 0.574691I
a = −0.282155 + 0.857578I
b = 1.272440 − 0.106550I
2.95940 − 4.07309I 0
u = 0.128738 + 1.092980I
a = −0.806968 + 0.844363I
b = 0.017274 − 0.240905I
−2.00528 + 8.19060I 0
u = 0.128738 − 1.092980I
a = −0.806968 − 0.844363I
b = 0.017274 + 0.240905I
−2.00528 − 8.19060I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.878025 + 0.682667I
a = 0.0989160 + 0.0321380I
b = −0.286693 + 1.141040I
0.88524 − 9.17691I 0
u = 0.878025 − 0.682667I
a = 0.0989160 − 0.0321380I
b = −0.286693 − 1.141040I
0.88524 + 9.17691I 0
u = 0.911251 + 0.645815I
a = −0.990686 + 0.211371I
b = 0.473487 + 0.411266I
1.185540 − 0.457183I 0
u = 0.911251 − 0.645815I
a = −0.990686 − 0.211371I
b = 0.473487 − 0.411266I
1.185540 + 0.457183I 0
u = 0.890705 + 0.676288I
a = −0.1125130 + 0.0812755I
b = 0.260466 − 1.253060I
−4.12583 − 13.09360I 0
u = 0.890705 − 0.676288I
a = −0.1125130 − 0.0812755I
b = 0.260466 + 1.253060I
−4.12583 + 13.09360I 0
u = −0.934348 + 0.645022I
a = −0.185324 + 0.039012I
b = 0.098649 + 0.688670I
−1.16160 + 2.57725I 0
u = −0.934348 − 0.645022I
a = −0.185324 − 0.039012I
b = 0.098649 − 0.688670I
−1.16160 − 2.57725I 0
u = 0.799173 + 0.822811I
a = −0.657863 − 0.921637I
b = 0.905784 − 0.455126I
−0.53257 − 5.18276I 0
u = 0.799173 − 0.822811I
a = −0.657863 + 0.921637I
b = 0.905784 + 0.455126I
−0.53257 + 5.18276I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.660710 + 0.950328I
a = 1.19143 + 1.65477I
b = −1.133570 − 0.027784I
2.08716 − 0.78439I 0
u = 0.660710 − 0.950328I
a = 1.19143 − 1.65477I
b = −1.133570 + 0.027784I
2.08716 + 0.78439I 0
u = −0.623782 + 0.982038I
a = 0.678990 − 0.252270I
b = −0.374041 − 0.523959I
−4.66604 + 0.74110I 0
u = −0.623782 − 0.982038I
a = 0.678990 + 0.252270I
b = −0.374041 + 0.523959I
−4.66604 − 0.74110I 0
u = −1.16597
a = −0.412747
b = −0.307790
−2.56017 0
u = 0.186140 + 0.793523I
a = −0.437472 + 0.818838I
b = −0.452905 + 0.004537I
0.169069 + 1.097840I 0
u = 0.186140 − 0.793523I
a = −0.437472 − 0.818838I
b = −0.452905 − 0.004537I
0.169069 − 1.097840I 0
u = −0.803504 + 0.082435I
a = −1.141540 + 0.487667I
b = −0.467619 + 0.786815I
−3.73244 + 5.75040I 0
u = −0.803504 − 0.082435I
a = −1.141540 − 0.487667I
b = −0.467619 − 0.786815I
−3.73244 − 5.75040I 0
u = 0.678524 + 0.985520I
a = −1.35158 − 1.53480I
b = 1.217240 − 0.015294I
6.10538 − 4.33414I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.678524 − 0.985520I
a = −1.35158 + 1.53480I
b = 1.217240 + 0.015294I
6.10538 + 4.33414I 0
u = 1.020550 + 0.649717I
a = −0.722942 − 0.650449I
b = 1.399820 − 0.017306I
3.40506 − 3.87432I 0
u = 1.020550 − 0.649717I
a = −0.722942 + 0.650449I
b = 1.399820 + 0.017306I
3.40506 + 3.87432I 0
u = −0.785539 + 0.032431I
a = 0.941492 − 0.659209I
b = 0.380737 − 0.768603I
0.73347 + 2.01678I 0
u = −0.785539 − 0.032431I
a = 0.941492 + 0.659209I
b = 0.380737 + 0.768603I
0.73347 − 2.01678I 0
u = −0.510870 + 1.115630I
a = −1.364050 + 0.190089I
b = 1.47571 + 0.55159I
2.83386 + 11.05840I 0
u = −0.510870 − 1.115630I
a = −1.364050 − 0.190089I
b = 1.47571 − 0.55159I
2.83386 − 11.05840I 0
u = 0.681057 + 1.025040I
a = 1.53228 + 1.46961I
b = −1.301120 + 0.030364I
2.19055 − 7.83743I 0
u = 0.681057 − 1.025040I
a = 1.53228 − 1.46961I
b = −1.301120 − 0.030364I
2.19055 + 7.83743I 0
u = −0.073348 + 0.759587I
a = 1.246890 − 0.118228I
b = −0.901737 − 0.733105I
−3.99845 + 2.94185I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.073348 − 0.759587I
a = 1.246890 + 0.118228I
b = −0.901737 + 0.733105I
−3.99845 − 2.94185I 0
u = 0.912685 + 0.858631I
a = 1.111190 + 0.646654I
b = −1.41862 + 0.63862I
2.99572 − 9.83715I 0
u = 0.912685 − 0.858631I
a = 1.111190 − 0.646654I
b = −1.41862 − 0.63862I
2.99572 + 9.83715I 0
u = 0.831410 + 0.945844I
a = 1.14521 + 0.96231I
b = −1.230520 + 0.303803I
3.62248 − 4.82319I 0
u = 0.831410 − 0.945844I
a = 1.14521 − 0.96231I
b = −1.230520 − 0.303803I
3.62248 + 4.82319I 0
u = 0.917156 + 0.871492I
a = −1.134320 − 0.697525I
b = 1.45016 − 0.55058I
7.24059 − 6.04896I 0
u = 0.917156 − 0.871492I
a = −1.134320 + 0.697525I
b = 1.45016 + 0.55058I
7.24059 + 6.04896I 0
u = −1.046830 + 0.725594I
a = 0.174384 + 0.160697I
b = −0.021593 − 0.786204I
−5.93701 + 5.64897I 0
u = −1.046830 − 0.725594I
a = 0.174384 − 0.160697I
b = −0.021593 + 0.786204I
−5.93701 − 5.64897I 0
u = −0.721562 + 0.021417I
a = −0.644609 − 0.958208I
b = −0.247591 − 0.780861I
−2.57014 + 1.53232I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.721562 − 0.021417I
a = −0.644609 + 0.958208I
b = −0.247591 + 0.780861I
−2.57014 − 1.53232I 0
u = 0.929589 + 0.881602I
a = 1.157520 + 0.737711I
b = −1.49770 + 0.45656I
3.68767 − 2.32017I 0
u = 0.929589 − 0.881602I
a = 1.157520 − 0.737711I
b = −1.49770 − 0.45656I
3.68767 + 2.32017I 0
u = −0.502642 + 1.183090I
a = 1.336180 − 0.212783I
b = −1.43852 − 0.47946I
7.84531 + 6.66728I 0
u = −0.502642 − 1.183090I
a = 1.336180 + 0.212783I
b = −1.43852 + 0.47946I
7.84531 − 6.66728I 0
u = 0.699073 + 0.049555I
a = −1.275360 − 0.108678I
b = 1.93131 + 0.11380I
−0.22719 + 3.29859I 0
u = 0.699073 − 0.049555I
a = −1.275360 + 0.108678I
b = 1.93131 − 0.11380I
−0.22719 − 3.29859I 0
u = 0.683748
a = 1.24296
b = −1.90909
3.79367 0
u = −0.110721 + 0.664716I
a = −0.514735 + 0.543579I
b = −0.167940 + 0.470048I
0.47299 + 1.56799I 0
u = −0.110721 − 0.664716I
a = −0.514735 − 0.543579I
b = −0.167940 − 0.470048I
0.47299 − 1.56799I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.596828 + 0.214125I
a = 1.125620 + 0.434099I
b = −1.55864 − 0.29454I
−1.55194 − 1.67041I 0
u = 0.596828 − 0.214125I
a = 1.125620 − 0.434099I
b = −1.55864 + 0.29454I
−1.55194 + 1.67041I 0
u = 0.800502 + 1.124610I
a = −1.63963 − 0.88238I
b = 1.370820 − 0.229139I
0.63178 − 3.54694I 0
u = 0.800502 − 1.124610I
a = −1.63963 + 0.88238I
b = 1.370820 + 0.229139I
0.63178 + 3.54694I 0
u = −0.461632 + 1.303820I
a = −1.282790 + 0.227613I
b = 1.350970 + 0.392320I
5.30500 + 1.88337I 0
u = −0.461632 − 1.303820I
a = −1.282790 − 0.227613I
b = 1.350970 − 0.392320I
5.30500 − 1.88337I 0
u = 0.469438 + 0.290431I
a = 2.55695 − 0.63671I
b = −0.490292 + 0.172982I
−2.89562 + 3.73771I 0
u = 0.469438 − 0.290431I
a = 2.55695 + 0.63671I
b = −0.490292 − 0.172982I
−2.89562 − 3.73771I 0
u = 0.529864
a = −1.16214
b = −1.36030
7.03558 0
u = 0.344740 + 0.390293I
a = −1.72327 − 0.24169I
b = 0.878378 + 0.276977I
1.35773 + 0.40457I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.344740 − 0.390293I
a = −1.72327 + 0.24169I
b = 0.878378 − 0.276977I
1.35773 − 0.40457I 0
u = −1.40182 + 0.50475I
a = 0.284184 − 0.156581I
b = −0.257910 + 0.452313I
−7.52635 − 1.31708I 0
u = −1.40182 − 0.50475I
a = 0.284184 + 0.156581I
b = −0.257910 − 0.452313I
−7.52635 + 1.31708I 0
u = 0.503171
a = −2.21926
b = 0.480106
1.41870 0
u = 0.486858 + 0.085186I
a = 1.21334 − 1.01776I
b = 1.364470 − 0.044561I
3.13961 − 3.99137I 0
u = 0.486858 − 0.085186I
a = 1.21334 + 1.01776I
b = 1.364470 + 0.044561I
3.13961 + 3.99137I 0
u = −0.275357 + 0.399472I
a = −0.710038 − 0.048106I
b = 0.28906 + 1.52856I
−2.14973 − 3.95479I 0
u = −0.275357 − 0.399472I
a = −0.710038 + 0.048106I
b = 0.28906 − 1.52856I
−2.14973 + 3.95479I 0
u = −1.52435 + 0.22367I
a = 0.117445 − 0.241361I
b = −1.108240 + 0.089113I
−1.16386 − 4.86473I 0
u = −1.52435 − 0.22367I
a = 0.117445 + 0.241361I
b = −1.108240 − 0.089113I
−1.16386 + 4.86473I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362839 + 0.269339I
a = 2.79234 + 1.35593I
b = −0.991695 + 0.163221I
−0.22669 − 2.60398I 0
u = 0.362839 − 0.269339I
a = 2.79234 − 1.35593I
b = −0.991695 − 0.163221I
−0.22669 + 2.60398I 0
u = 0.338930 + 0.289852I
a = −4.08673 − 0.82274I
b = 0.887315 − 0.344786I
−6.41630 − 3.14888I 0
u = 0.338930 − 0.289852I
a = −4.08673 + 0.82274I
b = 0.887315 + 0.344786I
−6.41630 + 3.14888I 0
u = 0.92378 + 1.26757I
a = 1.58647 + 0.46046I
b = −1.320130 + 0.299456I
3.28131 − 6.19403I 0
u = 0.92378 − 1.26757I
a = 1.58647 − 0.46046I
b = −1.320130 − 0.299456I
3.28131 + 6.19403I 0
u = 0.343464 + 0.238468I
a = 3.08122 + 2.78974I
b = −1.129430 + 0.275369I
0.24224 − 2.31217I 0
u = 0.343464 − 0.238468I
a = 3.08122 − 2.78974I
b = −1.129430 − 0.275369I
0.24224 + 2.31217I 0
u = 0.322592 + 0.244871I
a = −4.07120 − 2.96942I
b = 1.113020 − 0.360653I
3.03257 − 6.25979I 0
u = 0.322592 − 0.244871I
a = −4.07120 + 2.96942I
b = 1.113020 + 0.360653I
3.03257 + 6.25979I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.312254 + 0.250197I
a = 4.65999 + 2.92666I
b = −1.101000 + 0.406042I
−1.71326 − 10.24910I 0
u = 0.312254 − 0.250197I
a = 4.65999 − 2.92666I
b = −1.101000 − 0.406042I
−1.71326 + 10.24910I 0
u = −0.202439 + 0.340795I
a = 0.509371 − 0.027146I
b = 0.08907 − 1.55180I
2.41676 − 0.62131I 0
u = −0.202439 − 0.340795I
a = 0.509371 + 0.027146I
b = 0.08907 + 1.55180I
2.41676 + 0.62131I 0
u = 0.87476 + 1.34957I
a = −1.69051 − 0.33048I
b = 1.305540 − 0.348736I
−1.76191 − 9.75342I 0
u = 0.87476 − 1.34957I
a = −1.69051 + 0.33048I
b = 1.305540 + 0.348736I
−1.76191 + 9.75342I 0
u = −1.63933
a = −0.190694
b = 1.10899
3.00275 0
u = 0.336086 + 0.129857I
a = −0.381444 − 0.278567I
b = 1.63989 − 0.17981I
2.25999 − 0.00832I 0
u = 0.336086 − 0.129857I
a = −0.381444 + 0.278567I
b = 1.63989 + 0.17981I
2.25999 + 0.00832I 0
u = −1.17641 + 1.15970I
a = 1.295170 − 0.463740I
b = −1.47542 − 0.52017I
1.2734 + 19.2521I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.17641 − 1.15970I
a = 1.295170 + 0.463740I
b = −1.47542 + 0.52017I
1.2734 − 19.2521I 0
u = −1.19294 + 1.16591I
a = −1.254690 + 0.475690I
b = 1.45705 + 0.47955I
6.3093 + 14.8659I 0
u = −1.19294 − 1.16591I
a = −1.254690 − 0.475690I
b = 1.45705 − 0.47955I
6.3093 − 14.8659I 0
u = 1.18514 + 1.17389I
a = −1.267050 − 0.397142I
b = 1.290960 − 0.216214I
1.86116 − 2.77062I 0
u = 1.18514 − 1.17389I
a = −1.267050 + 0.397142I
b = 1.290960 + 0.216214I
1.86116 + 2.77062I 0
u = −1.13145 + 1.26344I
a = −1.165930 + 0.305011I
b = 1.228230 + 0.527242I
−5.09173 + 10.54550I 0
u = −1.13145 − 1.26344I
a = −1.165930 − 0.305011I
b = 1.228230 − 0.527242I
−5.09173 − 10.54550I 0
u = −1.21691 + 1.18703I
a = 1.193710 − 0.467388I
b = −1.41042 − 0.43323I
3.78055 + 10.12250I 0
u = −1.21691 − 1.18703I
a = 1.193710 + 0.467388I
b = −1.41042 + 0.43323I
3.78055 − 10.12250I 0
u = −0.217959 + 0.166660I
a = −0.247276 − 0.156307I
b = −0.25796 + 2.20317I
−1.09460 + 2.31317I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.217959 − 0.166660I
a = −0.247276 + 0.156307I
b = −0.25796 − 2.20317I
−1.09460 − 2.31317I 0
u = −1.25697 + 1.37495I
a = 1.051380 − 0.356693I
b = −1.209610 − 0.338013I
2.32572 + 8.44135I 0
u = −1.25697 − 1.37495I
a = 1.051380 + 0.356693I
b = −1.209610 + 0.338013I
2.32572 − 8.44135I 0
u = −0.86300 + 1.68735I
a = −1.116060 + 0.354188I
b = 1.234540 + 0.011606I
4.78255 − 0.53248I 0
u = −0.86300 − 1.68735I
a = −1.116060 − 0.354188I
b = 1.234540 − 0.011606I
4.78255 + 0.53248I 0
u = −1.00979 + 1.62268I
a = 1.088610 − 0.410789I
b = −1.260780 + 0.094495I
7.02452 − 5.50032I 0
u = −1.00979 − 1.62268I
a = 1.088610 + 0.410789I
b = −1.260780 − 0.094495I
7.02452 + 5.50032I 0
u = −1.11095 + 1.59740I
a = −1.051960 + 0.439884I
b = 1.247420 − 0.167333I
1.78899 − 9.96196I 0
u = −1.11095 − 1.59740I
a = −1.051960 − 0.439884I
b = 1.247420 + 0.167333I
1.78899 + 9.96196I 0
u = −0.70369 + 1.89807I
a = 1.044730 − 0.301941I
b = −0.949065 − 0.069035I
−4.58178 + 0.03823I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.70369 − 1.89807I
a = 1.044730 + 0.301941I
b = −0.949065 + 0.069035I
−4.58178 − 0.03823I 0
u = −1.25665 + 1.72125I
a = −0.999151 + 0.289074I
b = 1.100490 + 0.226136I
3.01340 + 3.13778I 0
u = −1.25665 − 1.72125I
a = −0.999151 − 0.289074I
b = 1.100490 − 0.226136I
3.01340 − 3.13778I 0
u = 1.45520 + 1.64495I
a = 1.245450 + 0.114137I
b = −1.171840 + 0.197209I
−4.71671 − 1.25527I 0
u = 1.45520 − 1.64495I
a = 1.245450 − 0.114137I
b = −1.171840 − 0.197209I
−4.71671 + 1.25527I 0
18
II. I
u
2
= h2.26 × 10
8
u
21
− 5.58 × 10
8
u
20
+ · · · + 3.35 × 10
8
b + 5.13 × 10
8
, 9.85 ×
10
14
u
21
−1.77×10
15
u
20
+· · ·+2.61×10
15
a+5.27×10
15
, u
22
−2u
21
+· · ·+7u+1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
9
=
−0.377641u
21
+ 0.677335u
20
+ ··· − 7.00407u − 2.02173
−0.676772u
21
+ 1.66664u
20
+ ··· − 10.7165u − 1.53279
a
10
=
−1.05441u
21
+ 2.34398u
20
+ ··· − 17.7206u − 3.55452
−0.676772u
21
+ 1.66664u
20
+ ··· − 10.7165u − 1.53279
a
3
=
−0.581818u
21
+ 1.35182u
20
+ ··· − 8.88851u − 0.373159
−0.229973u
21
+ 0.606745u
20
+ ··· − 1.92712u + 0.581844
a
7
=
0.373186u
21
− 0.910033u
20
+ ··· + 8.01554u + 1.35048
0.132199u
21
− 0.298631u
20
+ ··· + 1.90195u − 0.564981
a
11
=
−0.326188u
21
+ 0.455830u
20
+ ··· − 7.59571u − 2.25688
−0.465189u
21
+ 1.05072u
20
+ ··· − 8.42288u − 1.10110
a
4
=
0.418156u
21
− 1.06629u
20
+ ··· + 6.62668u − 0.0000263286
−u
21
+ 2u
20
+ ··· − 21u − 6
a
1
=
−0.0449705u
21
+ 0.156252u
20
+ ··· + 1.38886u + 0.350502
0.188183u
21
− 0.459541u
20
+ ··· + 4.69956u − 0.418182
a
8
=
−0.433073u
21
+ 0.939557u
20
+ ··· − 5.99303u − 2.07041
−0.558323u
21
+ 1.09696u
20
+ ··· − 12.7767u − 3.04369
a
12
=
−0.473084u
21
+ 1.37781u
20
+ ··· − 2.45238u − 1.73187
−0.476167u
21
+ 1.12092u
20
+ ··· − 4.82451u − 2.60346
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
60866341304196
153458599329379
u
21
−
479435274998982
153458599329379
u
20
+ ··· +
6478241749602019
153458599329379
u −
2197273513792900
153458599329379
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
22
− 9u
21
+ ··· − 10u + 1
c
2
u
22
− 2u
20
+ ··· + 7u
2
− 1
c
3
u
22
+ u
21
+ ··· − u − 1
c
4
u
22
+ u
21
+ ··· + u + 1
c
5
u
22
− 2u
21
+ ··· + 7u + 1
c
6
u
22
+ 3u
21
+ ··· + 5u − 1
c
7
u
22
− u
21
+ ··· + 4u + 1
c
8
u
22
+ u
21
+ ··· + 8u + 1
c
9
u
22
− u
21
+ ··· − u + 1
c
10
u
22
− u
20
+ ··· − u − 1
c
11
, c
12
u
22
+ u
21
+ ··· − 4u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
22
+ 15y
21
+ ··· + 8y + 1
c
2
y
22
− 4y
21
+ ··· − 14y + 1
c
3
y
22
+ 7y
21
+ ··· + 5y + 1
c
4
, c
9
y
22
− 15y
21
+ ··· − 17y + 1
c
5
y
22
+ 6y
21
+ ··· − 7y + 1
c
6
y
22
+ 7y
21
+ ··· − 19y + 1
c
7
, c
11
, c
12
y
22
+ 21y
21
+ ··· − 16y + 1
c
8
y
22
− y
21
+ ··· − 20y + 1
c
10
y
22
− 2y
21
+ ··· − 5y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.610688 + 0.899266I
a = 1.68686 + 1.30594I
b = −1.267650 + 0.300180I
1.63595 − 3.21289I 7.43582 + 4.24859I
u = 0.610688 − 0.899266I
a = 1.68686 − 1.30594I
b = −1.267650 − 0.300180I
1.63595 + 3.21289I 7.43582 − 4.24859I
u = −1.14268
a = 1.19157
b = −0.353364
0.859611 −8.31100
u = −0.852113 + 0.090198I
a = −1.342800 + 0.203503I
b = 0.144235 − 0.425856I
−3.50623 − 4.36104I −1.80000 + 5.50101I
u = −0.852113 − 0.090198I
a = −1.342800 − 0.203503I
b = 0.144235 + 0.425856I
−3.50623 + 4.36104I −1.80000 − 5.50101I
u = 0.296269 + 1.128580I
a = 2.14710 + 0.36131I
b = −1.159870 + 0.357343I
−0.49345 − 10.08610I 5.75501 + 9.28202I
u = 0.296269 − 1.128580I
a = 2.14710 − 0.36131I
b = −1.159870 − 0.357343I
−0.49345 + 10.08610I 5.75501 − 9.28202I
u = 0.475357 + 1.101410I
a = −1.89493 − 0.70101I
b = 1.196890 − 0.319730I
4.47343 − 6.37770I 10.78853 + 8.74826I
u = 0.475357 − 1.101410I
a = −1.89493 + 0.70101I
b = 1.196890 + 0.319730I
4.47343 + 6.37770I 10.78853 − 8.74826I
u = −1.165630 + 0.335659I
a = 0.132755 + 0.585923I
b = 0.508114 − 0.224487I
−6.76370 − 1.30514I 1.42098 + 4.04280I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.165630 − 0.335659I
a = 0.132755 − 0.585923I
b = 0.508114 + 0.224487I
−6.76370 + 1.30514I 1.42098 − 4.04280I
u = −1.24067
a = −0.249583
b = −0.440434
−2.37767 26.4560
u = 1.007900 + 0.839742I
a = −0.815452 − 1.030280I
b = 1.273710 − 0.191539I
1.83569 − 6.02008I 4.13492 + 6.19150I
u = 1.007900 − 0.839742I
a = −0.815452 + 1.030280I
b = 1.273710 + 0.191539I
1.83569 + 6.02008I 4.13492 − 6.19150I
u = 0.131479 + 0.444132I
a = 0.945924 + 0.252263I
b = −1.45553 + 0.71114I
2.25069 − 0.18646I 23.6184 + 15.1122I
u = 0.131479 − 0.444132I
a = 0.945924 − 0.252263I
b = −1.45553 − 0.71114I
2.25069 + 0.18646I 23.6184 − 15.1122I
u = −0.194625 + 0.133995I
a = −0.807012 − 0.989793I
b = 0.69622 − 1.72352I
−1.15068 + 2.23575I −25.3801 + 5.9771I
u = −0.194625 − 0.133995I
a = −0.807012 + 0.989793I
b = 0.69622 + 1.72352I
−1.15068 − 2.23575I −25.3801 − 5.9771I
u = 0.96386 + 1.50863I
a = 1.147130 + 0.432178I
b = −1.158450 + 0.203165I
3.45672 − 2.88063I 11.33769 + 1.61474I
u = 0.96386 − 1.50863I
a = 1.147130 − 0.432178I
b = −1.158450 − 0.203165I
3.45672 + 2.88063I 11.33769 − 1.61474I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.91849 + 1.85068I
a = −1.170580 − 0.039047I
b = 1.119230 − 0.193683I
−4.26926 − 1.06311I 7.61642 + 3.12981I
u = 0.91849 − 1.85068I
a = −1.170580 + 0.039047I
b = 1.119230 + 0.193683I
−4.26926 + 1.06311I 7.61642 − 3.12981I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
22
− 9u
21
+ ··· − 10u + 1)(u
135
+ 2u
134
+ ··· − 28271u − 1457)
c
2
(u
22
− 2u
20
+ ··· + 7u
2
− 1)(u
135
+ 3u
134
+ ··· − 10011u + 2809)
c
3
(u
22
+ u
21
+ ··· − u − 1)(u
135
+ u
133
+ ··· + 378u − 49)
c
4
(u
22
+ u
21
+ ··· + u + 1)(u
135
− 50u
133
+ ··· + 1400u + 449)
c
5
(u
22
− 2u
21
+ ··· + 7u + 1)(u
135
− 3u
134
+ ··· + 34u − 1)
c
6
(u
22
+ 3u
21
+ ··· + 5u − 1)(u
135
− 4u
134
+ ··· − 9766u − 1789)
c
7
(u
22
− u
21
+ ··· + 4u + 1)(u
135
+ 58u
133
+ ··· − u + 1)
c
8
(u
22
+ u
21
+ ··· + 8u + 1)(u
135
− 27u
133
+ ··· − 18053u + 20329)
c
9
(u
22
− u
21
+ ··· − u + 1)(u
135
− 50u
133
+ ··· + 1400u + 449)
c
10
(u
22
− u
20
+ ··· − u − 1)(u
135
− 3u
134
+ ··· − 274u + 31)
c
11
, c
12
(u
22
+ u
21
+ ··· − 4u + 1)(u
135
+ 58u
133
+ ··· − u + 1)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
22
+ 15y
21
+ ··· + 8y + 1)
· (y
135
+ 34y
134
+ ··· + 1958158897y −2122849)
c
2
(y
22
− 4y
21
+ ··· − 14y + 1)
· (y
135
− 33y
134
+ ··· + 545632015y −7890481)
c
3
(y
22
+ 7y
21
+ ··· + 5y + 1)(y
135
+ 2y
134
+ ··· + 38416y −2401)
c
4
, c
9
(y
22
− 15y
21
+ ··· − 17y + 1)
· (y
135
− 100y
134
+ ··· − 1149774y −201601)
c
5
(y
22
+ 6y
21
+ ··· − 7y + 1)(y
135
+ 13y
134
+ ··· + 52y −1)
c
6
(y
22
+ 7y
21
+ ··· − 19y + 1)
· (y
135
− 18y
134
+ ··· + 159785912y −3200521)
c
7
, c
11
, c
12
(y
22
+ 21y
21
+ ··· − 16y + 1)(y
135
+ 116y
134
+ ··· + 173y −1)
c
8
(y
22
− y
21
+ ··· − 20y + 1)
· (y
135
− 54y
134
+ ··· + 68531901341y −413268241)
c
10
(y
22
− 2y
21
+ ··· − 5y + 1)(y
135
− 15y
134
+ ··· + 84314y −961)
26
