12a
0875
(K12a
0875
)
A knot diagram
1
Linearized knot diagam
4 6 7 9 12 11 10 5 1 3 2 8
Solving Sequence
6,11 3,7
4 2 12 1 5 10 8 9
c
6
c
3
c
2
c
11
c
1
c
5
c
10
c
7
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.06777 × 10
2287
u
207
+ 3.61028 × 10
2288
u
206
+ ··· + 1.17143 × 10
2289
b + 1.76103 × 10
2290
,
6.76654 × 10
2290
u
207
+ 3.03190 × 10
2291
u
206
+ ··· + 2.49514 × 10
2291
a − 2.01871 × 10
2293
,
u
208
+ 5u
207
+ ··· − 270u + 71i
I
u
2
= h−6.52040 × 10
155
u
54
+ 2.64905 × 10
155
u
53
+ ··· + 2.94871 × 10
154
b + 1.64262 × 10
156
,
− 1.25518 × 10
154
u
54
+ 1.73289 × 10
153
u
53
+ ··· + 7.37178 × 10
153
a + 3.32900 × 10
154
,
u
55
+ 5u
53
+ ··· − 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 263 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
= h6.07 × 10
2287
u
207
+ 3.61 × 10
2288
u
206
+ · · · + 1.17 × 10
2289
b + 1.76 ×
10
2290
, 6.77 × 10
2290
u
207
+ 3.03 × 10
2291
u
206
+ · · · + 2.50 × 10
2291
a − 2.02 ×
10
2293
, u
208
+ 5u
207
+ · · · − 270u + 71i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−0.271189u
207
− 1.21512u
206
+ ··· − 295.757u + 80.9057
−0.0517981u
207
− 0.308195u
206
+ ··· + 12.4371u − 15.0332
a
7
=
1
−u
2
a
4
=
−0.306500u
207
− 1.33748u
206
+ ··· − 365.471u + 105.937
−0.0702218u
207
− 0.393730u
206
+ ··· − 4.70511u − 11.1847
a
2
=
−0.219391u
207
− 0.906926u
206
+ ··· − 308.194u + 95.9389
−0.0517981u
207
− 0.308195u
206
+ ··· + 12.4371u − 15.0332
a
12
=
0.0132353u
207
− 0.251612u
206
+ ··· + 298.116u − 109.515
0.0937300u
207
+ 0.443849u
206
+ ··· + 65.3771u − 16.9739
a
1
=
0.307575u
207
+ 1.87506u
206
+ ··· − 110.451u + 95.2013
−0.0769964u
207
− 0.408007u
206
+ ··· − 28.1984u − 2.46309
a
5
=
−0.963256u
207
− 4.91658u
206
+ ··· − 446.134u + 40.5809
−0.000938071u
207
− 0.0622435u
206
+ ··· + 47.8483u − 13.9887
a
10
=
0.212609u
207
+ 0.716181u
206
+ ··· + 422.650u − 137.880
0.105644u
207
+ 0.523944u
206
+ ··· + 61.1564u − 11.3908
a
8
=
−0.951459u
207
− 4.50288u
206
+ ··· − 779.687u + 177.789
−0.158656u
207
− 0.851879u
206
+ ··· − 37.0374u − 8.00512
a
9
=
−0.122204u
207
− 0.900823u
206
+ ··· + 214.491u − 87.1759
−0.0344334u
207
− 0.214756u
206
+ ··· + 3.89841u − 13.7835
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.744049u
207
+ 3.94358u
206
+ ··· + 221.161u + 23.8828
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
208
+ 4u
207
+ ··· − 224906561670u − 63352175999
c
2
u
208
− 5u
207
+ ··· − 237737u + 17081
c
3
u
208
− 4u
207
+ ··· + 28u − 1
c
4
, c
8
u
208
+ 3u
207
+ ··· + 2214u − 83
c
5
u
208
− u
207
+ ··· − 431064724298593u + 90684077361587
c
6
u
208
− 5u
207
+ ··· + 270u + 71
c
7
u
208
− 18u
207
+ ··· − 8169806861101u + 531367876849
c
9
u
208
+ 33u
206
+ ··· + 36106632u + 12489409
c
10
u
208
+ u
207
+ ··· + 147178u − 2621
c
11
u
208
− 7u
207
+ ··· + 5619u + 531
c
12
u
208
− 2u
207
+ ··· − 838743923703u + 62461848131
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
208
+ 72y
207
+ ··· + 2.81 × 10
23
y + 4.01 × 10
21
c
2
y
208
− 7y
207
+ ··· + 22229892265y + 291760561
c
3
y
208
+ 12y
207
+ ··· + 542y + 1
c
4
, c
8
y
208
+ 145y
207
+ ··· − 1270546y + 6889
c
5
y
208
+ 117y
207
+ ··· + 1.95 × 10
29
y + 8.22 × 10
27
c
6
y
208
+ 25y
207
+ ··· + 90684y + 5041
c
7
y
208
+ 74y
207
+ ··· + 2.40 × 10
25
y + 2.82 × 10
23
c
9
y
208
+ 66y
207
+ ··· + 6452214131562176y + 155985337169281
c
10
y
208
+ 19y
207
+ ··· − 5108039792y + 6869641
c
11
y
208
− 17y
207
+ ··· − 28051569y + 281961
c
12
y
208
+ 92y
207
+ ··· + 9.60 × 10
22
y + 3.90 × 10
21
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.490036 + 0.888502I
a = −0.067538 − 0.664674I
b = −0.748604 − 0.877003I
2.14080 − 6.87743I 0
u = −0.490036 − 0.888502I
a = −0.067538 + 0.664674I
b = −0.748604 + 0.877003I
2.14080 + 6.87743I 0
u = −0.167710 + 1.009850I
a = −0.329906 + 0.988249I
b = −0.830859 + 0.900686I
−0.24518 − 2.85387I 0
u = −0.167710 − 1.009850I
a = −0.329906 − 0.988249I
b = −0.830859 − 0.900686I
−0.24518 + 2.85387I 0
u = 0.720227 + 0.728197I
a = 0.14640 + 1.56590I
b = 1.28606 + 1.01520I
9.52852 − 2.95814I 0
u = 0.720227 − 0.728197I
a = 0.14640 − 1.56590I
b = 1.28606 − 1.01520I
9.52852 + 2.95814I 0
u = 0.908178 + 0.338881I
a = −0.163717 + 0.670917I
b = −0.16466 + 1.66125I
2.32181 − 2.17308I 0
u = 0.908178 − 0.338881I
a = −0.163717 − 0.670917I
b = −0.16466 − 1.66125I
2.32181 + 2.17308I 0
u = 0.920466 + 0.488367I
a = 0.260479 + 0.773685I
b = 1.30023 + 0.87304I
9.49403 + 0.39916I 0
u = 0.920466 − 0.488367I
a = 0.260479 − 0.773685I
b = 1.30023 − 0.87304I
9.49403 − 0.39916I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.666024 + 0.817613I
a = 0.279726 − 1.050840I
b = −0.991626 − 0.894840I
0.21931 + 3.76143I 0
u = 0.666024 − 0.817613I
a = 0.279726 + 1.050840I
b = −0.991626 + 0.894840I
0.21931 − 3.76143I 0
u = −0.934356 + 0.132049I
a = −0.595125 − 0.879875I
b = 0.125705 − 0.419432I
4.35527 − 1.06386I 0
u = −0.934356 − 0.132049I
a = −0.595125 + 0.879875I
b = 0.125705 + 0.419432I
4.35527 + 1.06386I 0
u = 0.685944 + 0.641700I
a = 0.388474 − 0.461928I
b = 0.933380 − 0.493752I
−2.18923 + 0.53636I 0
u = 0.685944 − 0.641700I
a = 0.388474 + 0.461928I
b = 0.933380 + 0.493752I
−2.18923 − 0.53636I 0
u = −0.450323 + 0.960878I
a = −1.071790 + 0.269758I
b = −1.107660 − 0.127328I
4.15701 − 2.45008I 0
u = −0.450323 − 0.960878I
a = −1.071790 − 0.269758I
b = −1.107660 + 0.127328I
4.15701 + 2.45008I 0
u = 0.955734 + 0.472949I
a = 0.238405 + 0.662428I
b = 1.34719 + 1.09163I
9.1496 + 12.4686I 0
u = 0.955734 − 0.472949I
a = 0.238405 − 0.662428I
b = 1.34719 − 1.09163I
9.1496 − 12.4686I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.958852 + 0.480402I
a = −0.279381 + 0.693940I
b = −1.26562 + 1.02385I
4.73934 − 6.47502I 0
u = −0.958852 − 0.480402I
a = −0.279381 − 0.693940I
b = −1.26562 − 1.02385I
4.73934 + 6.47502I 0
u = 0.279943 + 1.038960I
a = −1.224420 − 0.679613I
b = −0.375080 − 0.044216I
0.03106 + 1.89495I 0
u = 0.279943 − 1.038960I
a = −1.224420 + 0.679613I
b = −0.375080 + 0.044216I
0.03106 − 1.89495I 0
u = 0.956683 + 0.495100I
a = 0.24086 − 1.42757I
b = −0.960696 − 0.081886I
8.59019 + 1.80950I 0
u = 0.956683 − 0.495100I
a = 0.24086 + 1.42757I
b = −0.960696 + 0.081886I
8.59019 − 1.80950I 0
u = −1.076570 + 0.065255I
a = 0.112673 − 0.861681I
b = 0.889575 + 0.111250I
6.59679 + 4.86101I 0
u = −1.076570 − 0.065255I
a = 0.112673 + 0.861681I
b = 0.889575 − 0.111250I
6.59679 − 4.86101I 0
u = 0.510579 + 0.767036I
a = 1.348600 − 0.321286I
b = −0.281793 − 0.737288I
1.10117 + 6.37333I 0
u = 0.510579 − 0.767036I
a = 1.348600 + 0.321286I
b = −0.281793 + 0.737288I
1.10117 − 6.37333I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.251496 + 1.058710I
a = 0.343330 + 0.971089I
b = 0.272415 + 1.092500I
−0.224687 + 0.939698I 0
u = 0.251496 − 1.058710I
a = 0.343330 − 0.971089I
b = 0.272415 − 1.092500I
−0.224687 − 0.939698I 0
u = −0.634885 + 0.886009I
a = −0.201387 + 0.775869I
b = −0.715628 + 0.790856I
−0.29766 − 2.30913I 0
u = −0.634885 − 0.886009I
a = −0.201387 − 0.775869I
b = −0.715628 − 0.790856I
−0.29766 + 2.30913I 0
u = 1.09390
a = 0.0326255
b = 0.495384
−1.42197 0
u = −1.006780 + 0.437503I
a = 0.46419 + 1.46818I
b = −0.785589 + 0.015168I
9.2221 − 12.0084I 0
u = −1.006780 − 0.437503I
a = 0.46419 − 1.46818I
b = −0.785589 − 0.015168I
9.2221 + 12.0084I 0
u = 0.034802 + 0.898391I
a = −0.479397 + 1.024510I
b = 0.181228 + 0.997343I
−0.857062 − 0.663962I 0
u = 0.034802 − 0.898391I
a = −0.479397 − 1.024510I
b = 0.181228 − 0.997343I
−0.857062 + 0.663962I 0
u = −0.760167 + 0.811712I
a = −0.248572 + 1.386600I
b = −1.24412 + 1.05435I
4.67222 − 2.63901I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.760167 − 0.811712I
a = −0.248572 − 1.386600I
b = −1.24412 − 1.05435I
4.67222 + 2.63901I 0
u = −0.322616 + 0.819234I
a = −1.135570 − 0.470921I
b = 0.207383 − 0.437091I
−1.52205 − 2.84319I 0
u = −0.322616 − 0.819234I
a = −1.135570 + 0.470921I
b = 0.207383 + 0.437091I
−1.52205 + 2.84319I 0
u = 0.001055 + 1.131390I
a = 0.309035 − 0.129562I
b = 1.407290 − 0.107413I
0.35368 − 3.26470I 0
u = 0.001055 − 1.131390I
a = 0.309035 + 0.129562I
b = 1.407290 + 0.107413I
0.35368 + 3.26470I 0
u = −0.987048 + 0.555354I
a = −0.096149 − 1.214160I
b = 0.660653 − 0.144180I
4.21577 − 2.35889I 0
u = −0.987048 − 0.555354I
a = −0.096149 + 1.214160I
b = 0.660653 + 0.144180I
4.21577 + 2.35889I 0
u = 0.335174 + 1.091200I
a = 1.196790 + 0.090457I
b = 1.316280 − 0.336316I
8.45119 + 7.49039I 0
u = 0.335174 − 1.091200I
a = 1.196790 − 0.090457I
b = 1.316280 + 0.336316I
8.45119 − 7.49039I 0
u = 0.753959 + 0.399011I
a = −0.39346 + 2.19322I
b = 0.545718 + 0.048230I
3.50643 + 6.88270I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.753959 − 0.399011I
a = −0.39346 − 2.19322I
b = 0.545718 − 0.048230I
3.50643 − 6.88270I 0
u = 0.839557 + 0.786589I
a = 0.126027 + 1.249320I
b = 1.23648 + 1.13360I
8.67440 + 8.88883I 0
u = 0.839557 − 0.786589I
a = 0.126027 − 1.249320I
b = 1.23648 − 1.13360I
8.67440 − 8.88883I 0
u = 0.610053 + 0.573893I
a = 0.26409 − 1.88618I
b = −0.671153 − 0.984707I
1.99548 + 5.26676I 0
u = 0.610053 − 0.573893I
a = 0.26409 + 1.88618I
b = −0.671153 + 0.984707I
1.99548 − 5.26676I 0
u = 0.588268 + 1.005260I
a = 0.535372 + 1.138270I
b = 0.535347 + 0.950288I
1.66225 + 5.65430I 0
u = 0.588268 − 1.005260I
a = 0.535372 − 1.138270I
b = 0.535347 − 0.950288I
1.66225 − 5.65430I 0
u = 0.833640
a = −1.47003
b = 0.440138
−2.36101 0
u = −0.788240 + 0.070425I
a = 2.27239 − 1.04174I
b = −0.488122 + 0.286684I
6.66455 − 0.89858I 0
u = −0.788240 − 0.070425I
a = 2.27239 + 1.04174I
b = −0.488122 − 0.286684I
6.66455 + 0.89858I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.505317 + 0.601031I
a = 0.68165 + 1.31058I
b = −0.348293 + 0.526878I
2.39199 + 5.41873I 0
u = 0.505317 − 0.601031I
a = 0.68165 − 1.31058I
b = −0.348293 − 0.526878I
2.39199 − 5.41873I 0
u = −0.917187 + 0.806590I
a = −0.013319 − 1.318720I
b = 1.26174 − 0.75571I
8.20874 − 7.09364I 0
u = −0.917187 − 0.806590I
a = −0.013319 + 1.318720I
b = 1.26174 + 0.75571I
8.20874 + 7.09364I 0
u = 0.727600 + 0.239522I
a = −0.297999 − 0.481961I
b = −1.36503 − 1.35330I
2.47864 + 1.84957I 0
u = 0.727600 − 0.239522I
a = −0.297999 + 0.481961I
b = −1.36503 + 1.35330I
2.47864 − 1.84957I 0
u = 0.585599 + 0.484662I
a = −0.880305 − 0.819363I
b = −1.048100 + 0.194585I
3.29438 − 2.62542I 0
u = 0.585599 − 0.484662I
a = −0.880305 + 0.819363I
b = −1.048100 − 0.194585I
3.29438 + 2.62542I 0
u = 0.792366 + 0.954048I
a = −0.257956 + 0.535594I
b = 0.539296 + 0.485467I
−1.71003 − 0.56197I 0
u = 0.792366 − 0.954048I
a = −0.257956 − 0.535594I
b = 0.539296 − 0.485467I
−1.71003 + 0.56197I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.056105 + 0.736155I
a = −0.33016 + 2.17285I
b = −0.16628 + 2.10950I
−1.45182 − 2.34516I 0
u = −0.056105 − 0.736155I
a = −0.33016 − 2.17285I
b = −0.16628 − 2.10950I
−1.45182 + 2.34516I 0
u = 0.103040 + 0.728326I
a = 0.20594 − 2.86218I
b = −0.34014 − 1.57280I
−1.44162 + 2.55621I 0
u = 0.103040 − 0.728326I
a = 0.20594 + 2.86218I
b = −0.34014 + 1.57280I
−1.44162 − 2.55621I 0
u = 0.084726 + 0.726909I
a = −0.568857 + 0.708820I
b = 0.234663 + 0.714828I
−0.977046 − 0.833776I 0
u = 0.084726 − 0.726909I
a = −0.568857 − 0.708820I
b = 0.234663 − 0.714828I
−0.977046 + 0.833776I 0
u = −0.265708 + 0.677503I
a = 0.26809 − 1.48313I
b = −0.55750 − 1.83799I
5.44247 − 13.00190I 0
u = −0.265708 − 0.677503I
a = 0.26809 + 1.48313I
b = −0.55750 + 1.83799I
5.44247 + 13.00190I 0
u = 0.697860 + 1.064880I
a = −0.449795 − 1.307640I
b = −1.37235 − 1.03012I
1.86973 + 7.76991I 0
u = 0.697860 − 1.064880I
a = −0.449795 + 1.307640I
b = −1.37235 + 1.03012I
1.86973 − 7.76991I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.373898 + 0.616899I
a = −1.001850 − 0.794768I
b = 1.053310 − 0.527244I
2.63147 − 4.73655I 0
u = −0.373898 − 0.616899I
a = −1.001850 + 0.794768I
b = 1.053310 + 0.527244I
2.63147 + 4.73655I 0
u = −1.246710 + 0.295968I
a = −0.587242 − 0.297143I
b = 0.666412 + 0.290499I
5.52180 + 1.33719I 0
u = −1.246710 − 0.295968I
a = −0.587242 + 0.297143I
b = 0.666412 − 0.290499I
5.52180 − 1.33719I 0
u = 0.583987 + 1.146500I
a = 0.893842 + 0.087934I
b = 0.823658 − 0.321681I
7.60623 − 3.17715I 0
u = 0.583987 − 1.146500I
a = 0.893842 − 0.087934I
b = 0.823658 + 0.321681I
7.60623 + 3.17715I 0
u = −0.455288 + 0.546848I
a = −0.163878 − 1.397110I
b = −0.44863 − 1.60101I
5.53424 − 1.55481I 0
u = −0.455288 − 0.546848I
a = −0.163878 + 1.397110I
b = −0.44863 + 1.60101I
5.53424 + 1.55481I 0
u = 0.278648 + 0.633329I
a = −1.86633 + 2.02851I
b = 0.609350 + 0.916151I
5.6520 + 13.0394I 0
u = 0.278648 − 0.633329I
a = −1.86633 − 2.02851I
b = 0.609350 − 0.916151I
5.6520 − 13.0394I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.357734 + 0.591772I
a = 1.19553 − 1.07447I
b = −0.764706 − 0.790823I
0.06058 + 3.27739I 0
u = 0.357734 − 0.591772I
a = 1.19553 + 1.07447I
b = −0.764706 + 0.790823I
0.06058 − 3.27739I 0
u = −0.032701 + 0.678660I
a = −1.41686 + 1.49315I
b = 0.178703 + 0.889705I
−1.55936 − 4.02391I 0
u = −0.032701 − 0.678660I
a = −1.41686 − 1.49315I
b = 0.178703 − 0.889705I
−1.55936 + 4.02391I 0
u = −0.696822 + 1.139110I
a = −0.461486 + 1.013920I
b = −0.829066 + 1.025210I
1.50491 − 5.99760I 0
u = −0.696822 − 1.139110I
a = −0.461486 − 1.013920I
b = −0.829066 − 1.025210I
1.50491 + 5.99760I 0
u = 0.287092 + 0.596168I
a = −0.13769 − 1.62532I
b = 0.56834 − 1.74941I
1.09443 + 7.31657I 0
u = 0.287092 − 0.596168I
a = −0.13769 + 1.62532I
b = 0.56834 + 1.74941I
1.09443 − 7.31657I 0
u = −0.180139 + 0.619365I
a = 1.67141 + 2.62068I
b = −0.470445 + 0.871413I
0.91074 − 6.83141I 0
u = −0.180139 − 0.619365I
a = 1.67141 − 2.62068I
b = −0.470445 − 0.871413I
0.91074 + 6.83141I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.111466 + 0.634591I
a = 0.563157 − 1.204150I
b = −1.01747 − 1.01104I
−1.37241 + 4.39659I 0
u = 0.111466 − 0.634591I
a = 0.563157 + 1.204150I
b = −1.01747 + 1.01104I
−1.37241 − 4.39659I 0
u = −0.704274 + 1.194610I
a = 0.176959 − 0.825287I
b = 1.30311 − 0.75041I
2.37418 − 7.01546I 0
u = −0.704274 − 1.194610I
a = 0.176959 + 0.825287I
b = 1.30311 + 0.75041I
2.37418 + 7.01546I 0
u = −1.217330 + 0.665216I
a = 0.665411 + 0.620345I
b = −0.849094 + 0.441203I
4.19847 + 1.41965I 0
u = −1.217330 − 0.665216I
a = 0.665411 − 0.620345I
b = −0.849094 − 0.441203I
4.19847 − 1.41965I 0
u = 0.992062 + 0.971135I
a = −0.346659 + 1.104750I
b = 0.869217 + 0.764195I
−2.46784 + 5.86562I 0
u = 0.992062 − 0.971135I
a = −0.346659 − 1.104750I
b = 0.869217 − 0.764195I
−2.46784 − 5.86562I 0
u = −0.201161 + 0.558970I
a = −0.69533 + 1.49684I
b = 0.49312 + 1.37303I
0.26561 − 2.48821I 0
u = −0.201161 − 0.558970I
a = −0.69533 − 1.49684I
b = 0.49312 − 1.37303I
0.26561 + 2.48821I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26818 + 0.63384I
a = 0.030690 − 0.886462I
b = −0.589373 + 0.010830I
6.85361 + 2.07412I 0
u = 1.26818 − 0.63384I
a = 0.030690 + 0.886462I
b = −0.589373 − 0.010830I
6.85361 − 2.07412I 0
u = −0.109070 + 0.563630I
a = 0.324813 + 1.152950I
b = −0.42923 + 2.56756I
4.00486 + 1.60025I 0
u = −0.109070 − 0.563630I
a = 0.324813 − 1.152950I
b = −0.42923 − 2.56756I
4.00486 − 1.60025I 0
u = −0.81272 + 1.17195I
a = −0.187853 + 0.864331I
b = −0.887265 + 0.937159I
−1.73800 − 2.59027I 0
u = −0.81272 − 1.17195I
a = −0.187853 − 0.864331I
b = −0.887265 − 0.937159I
−1.73800 + 2.59027I 0
u = −0.278492 + 0.488235I
a = 2.24968 − 2.23535I
b = 0.400609 + 0.250915I
4.72780 + 2.63606I 0
u = −0.278492 − 0.488235I
a = 2.24968 + 2.23535I
b = 0.400609 − 0.250915I
4.72780 − 2.63606I 0
u = −0.81602 + 1.20203I
a = 0.498349 − 0.241544I
b = 1.003060 + 0.382288I
7.14816 + 0.60925I 0
u = −0.81602 − 1.20203I
a = 0.498349 + 0.241544I
b = 1.003060 − 0.382288I
7.14816 − 0.60925I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.29037 + 0.67743I
a = 0.146015 − 0.401733I
b = 1.104320 − 0.535379I
7.33376 − 2.50145I 0
u = −1.29037 − 0.67743I
a = 0.146015 + 0.401733I
b = 1.104320 + 0.535379I
7.33376 + 2.50145I 0
u = −0.371850 + 0.393899I
a = −3.30940 − 1.26353I
b = 0.440762 − 0.819974I
5.01602 − 3.44162I 0
u = −0.371850 − 0.393899I
a = −3.30940 + 1.26353I
b = 0.440762 + 0.819974I
5.01602 + 3.44162I 0
u = 0.044558 + 0.539268I
a = 1.58835 + 2.35236I
b = −0.214310 + 0.642628I
−3.58918 + 0.33486I 0
u = 0.044558 − 0.539268I
a = 1.58835 − 2.35236I
b = −0.214310 − 0.642628I
−3.58918 − 0.33486I 0
u = 0.108428 + 0.527171I
a = −0.08599 − 1.48073I
b = 1.01066 − 1.05105I
−3.51853 + 0.46972I 0
u = 0.108428 − 0.527171I
a = −0.08599 + 1.48073I
b = 1.01066 + 1.05105I
−3.51853 − 0.46972I 0
u = 0.91949 + 1.13759I
a = 0.099745 + 0.947443I
b = 0.961509 + 0.862525I
−3.47428 + 7.21832I 0
u = 0.91949 − 1.13759I
a = 0.099745 − 0.947443I
b = 0.961509 − 0.862525I
−3.47428 − 7.21832I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.480328 + 0.234145I
a = 0.645181 + 0.263999I
b = 0.63833 + 2.06030I
2.93119 − 2.30709I 0
u = 0.480328 − 0.234145I
a = 0.645181 − 0.263999I
b = 0.63833 − 2.06030I
2.93119 + 2.30709I 0
u = −1.33964 + 0.66038I
a = 0.288680 − 0.467997I
b = 0.710834 + 0.173822I
4.28909 + 2.40705I 0
u = −1.33964 − 0.66038I
a = 0.288680 + 0.467997I
b = 0.710834 − 0.173822I
4.28909 − 2.40705I 0
u = −0.203514 + 0.462059I
a = −0.498452 − 0.203786I
b = −1.08594 + 1.13362I
3.77352 + 1.55445I 0
u = −0.203514 − 0.462059I
a = −0.498452 + 0.203786I
b = −1.08594 − 1.13362I
3.77352 − 1.55445I 0
u = 1.01182 + 1.11575I
a = −0.150049 − 1.001530I
b = −1.37441 − 1.04277I
6.43708 + 11.83290I 0
u = 1.01182 − 1.11575I
a = −0.150049 + 1.001530I
b = −1.37441 + 1.04277I
6.43708 − 11.83290I 0
u = −0.76064 + 1.30057I
a = 0.531944 − 0.977126I
b = 1.45346 − 0.88581I
3.03450 − 11.32510I 0
u = −0.76064 − 1.30057I
a = 0.531944 + 0.977126I
b = 1.45346 + 0.88581I
3.03450 + 11.32510I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.02276 + 1.12285I
a = −0.175295 + 1.075170I
b = −1.20643 + 0.87713I
7.74447 − 9.34107I 0
u = −1.02276 − 1.12285I
a = −0.175295 − 1.075170I
b = −1.20643 − 0.87713I
7.74447 + 9.34107I 0
u = −1.25272 + 0.86217I
a = −0.129864 + 0.631629I
b = −0.405796 + 0.897437I
0.64538 − 2.19551I 0
u = −1.25272 − 0.86217I
a = −0.129864 − 0.631629I
b = −0.405796 − 0.897437I
0.64538 + 2.19551I 0
u = 1.47088 + 0.43551I
a = −0.150101 − 0.520921I
b = −0.889172 − 0.005101I
8.24673 − 1.96112I 0
u = 1.47088 − 0.43551I
a = −0.150101 + 0.520921I
b = −0.889172 + 0.005101I
8.24673 + 1.96112I 0
u = 0.128227 + 0.433148I
a = −2.95399 + 3.84232I
b = 0.446436 + 0.586240I
5.86258 − 0.03620I −8.51865 − 7.11861I
u = 0.128227 − 0.433148I
a = −2.95399 − 3.84232I
b = 0.446436 − 0.586240I
5.86258 + 0.03620I −8.51865 + 7.11861I
u = −0.96375 + 1.21268I
a = 0.281208 − 0.936123I
b = 1.28145 − 0.91835I
2.64160 − 10.42020I 0
u = −0.96375 − 1.21268I
a = 0.281208 + 0.936123I
b = 1.28145 + 0.91835I
2.64160 + 10.42020I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.02972 + 1.15963I
a = 0.077693 − 0.388786I
b = −0.093206 − 0.543065I
2.72888 + 4.60086I 0
u = −1.02972 − 1.15963I
a = 0.077693 + 0.388786I
b = −0.093206 + 0.543065I
2.72888 − 4.60086I 0
u = 1.00865 + 1.17904I
a = 0.226943 + 1.035080I
b = 1.26323 + 0.96179I
3.2140 + 15.9536I 0
u = 1.00865 − 1.17904I
a = 0.226943 − 1.035080I
b = 1.26323 − 0.96179I
3.2140 − 15.9536I 0
u = −1.04473 + 1.14831I
a = 0.137864 − 0.848757I
b = 0.92810 − 1.15122I
1.79329 − 12.95630I 0
u = −1.04473 − 1.14831I
a = 0.137864 + 0.848757I
b = 0.92810 + 1.15122I
1.79329 + 12.95630I 0
u = 0.132229 + 0.423552I
a = 0.781773 − 0.882008I
b = −0.719448 + 0.410608I
3.68417 + 1.71472I −1.60627 − 2.07752I
u = 0.132229 − 0.423552I
a = 0.781773 + 0.882008I
b = −0.719448 − 0.410608I
3.68417 − 1.71472I −1.60627 + 2.07752I
u = −1.10981 + 1.12120I
a = 0.147978 + 0.840492I
b = −1.043100 + 0.762408I
3.11150 − 12.99860I 0
u = −1.10981 − 1.12120I
a = 0.147978 − 0.840492I
b = −1.043100 − 0.762408I
3.11150 + 12.99860I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.11946 + 1.12442I
a = −0.133931 − 0.782906I
b = −0.719777 − 0.949383I
−0.68169 + 8.60166I 0
u = 1.11946 − 1.12442I
a = −0.133931 + 0.782906I
b = −0.719777 + 0.949383I
−0.68169 − 8.60166I 0
u = −1.03041 + 1.20976I
a = −0.221004 + 1.000820I
b = −1.31983 + 0.97180I
7.8465 − 21.9554I 0
u = −1.03041 − 1.20976I
a = −0.221004 − 1.000820I
b = −1.31983 − 0.97180I
7.8465 + 21.9554I 0
u = 0.396484 + 0.016180I
a = −0.36961 + 3.04745I
b = 1.185590 + 0.084670I
8.74741 + 6.36166I 2.72744 − 3.86093I
u = 0.396484 − 0.016180I
a = −0.36961 − 3.04745I
b = 1.185590 − 0.084670I
8.74741 − 6.36166I 2.72744 + 3.86093I
u = −1.31298 + 0.93260I
a = −0.395878 + 0.212765I
b = −0.902436 − 0.167419I
8.47015 + 1.19174I 0
u = −1.31298 − 0.93260I
a = −0.395878 − 0.212765I
b = −0.902436 + 0.167419I
8.47015 − 1.19174I 0
u = −0.353571 + 0.150546I
a = −1.51210 − 0.45912I
b = 1.21119 − 1.60449I
3.85932 − 1.93015I −8.76320 + 1.25746I
u = −0.353571 − 0.150546I
a = −1.51210 + 0.45912I
b = 1.21119 + 1.60449I
3.85932 + 1.93015I −8.76320 − 1.25746I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.33498 + 0.92312I
a = −0.358839 − 0.383050I
b = −0.709186 + 0.452131I
7.16669 − 3.72862I 0
u = 1.33498 − 0.92312I
a = −0.358839 + 0.383050I
b = −0.709186 − 0.452131I
7.16669 + 3.72862I 0
u = 1.42503 + 0.83277I
a = 0.387105 + 0.288639I
b = 0.775305 − 0.222188I
4.40411 − 7.63424I 0
u = 1.42503 − 0.83277I
a = 0.387105 − 0.288639I
b = 0.775305 + 0.222188I
4.40411 + 7.63424I 0
u = −1.09271 + 1.24958I
a = 0.046544 − 0.516447I
b = 1.065130 − 0.524243I
1.52411 − 5.12225I 0
u = −1.09271 − 1.24958I
a = 0.046544 + 0.516447I
b = 1.065130 + 0.524243I
1.52411 + 5.12225I 0
u = 0.223798 + 0.234276I
a = −5.20962 − 3.10965I
b = 0.694330 + 0.103111I
5.97038 + 5.12187I 7.70469 − 8.08023I
u = 0.223798 − 0.234276I
a = −5.20962 + 3.10965I
b = 0.694330 − 0.103111I
5.97038 − 5.12187I 7.70469 + 8.08023I
u = −1.46193 + 0.82594I
a = 0.192235 − 0.252567I
b = −0.0395834 + 0.0552702I
2.59301 + 4.40230I 0
u = −1.46193 − 0.82594I
a = 0.192235 + 0.252567I
b = −0.0395834 − 0.0552702I
2.59301 − 4.40230I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.97193 + 1.37857I
a = −0.142327 − 0.495099I
b = −0.551630 − 0.374594I
−2.24116 + 1.81447I 0
u = 0.97193 − 1.37857I
a = −0.142327 + 0.495099I
b = −0.551630 + 0.374594I
−2.24116 − 1.81447I 0
u = −1.18036 + 1.20547I
a = 0.239873 − 0.711198I
b = 0.709501 − 0.401603I
5.74780 − 6.11441I 0
u = −1.18036 − 1.20547I
a = 0.239873 + 0.711198I
b = 0.709501 + 0.401603I
5.74780 + 6.11441I 0
u = 0.40819 + 1.67318I
a = −0.181053 − 0.136900I
b = −1.284290 − 0.268606I
4.06642 + 6.42884I 0
u = 0.40819 − 1.67318I
a = −0.181053 + 0.136900I
b = −1.284290 + 0.268606I
4.06642 − 6.42884I 0
u = 1.03742 + 1.37613I
a = −0.345050 − 0.780588I
b = −1.28894 − 0.68638I
5.55838 + 10.70500I 0
u = 1.03742 − 1.37613I
a = −0.345050 + 0.780588I
b = −1.28894 + 0.68638I
5.55838 − 10.70500I 0
u = −1.51891 + 0.84541I
a = −0.348426 + 0.300749I
b = −0.772984 − 0.308134I
9.1419 + 13.3347I 0
u = −1.51891 − 0.84541I
a = −0.348426 − 0.300749I
b = −0.772984 + 0.308134I
9.1419 − 13.3347I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.02030 + 1.40867I
a = −0.166080 − 0.503088I
b = −1.219540 − 0.320474I
5.29452 + 5.23041I 0
u = 1.02030 − 1.40867I
a = −0.166080 + 0.503088I
b = −1.219540 + 0.320474I
5.29452 − 5.23041I 0
u = −1.08667 + 1.39490I
a = 0.102621 − 0.462200I
b = 0.751778 − 0.564207I
0.10829 − 6.82700I 0
u = −1.08667 − 1.39490I
a = 0.102621 + 0.462200I
b = 0.751778 + 0.564207I
0.10829 + 6.82700I 0
u = −0.17172 + 1.76223I
a = 0.701510 − 0.173000I
b = 0.370775 − 0.162537I
4.69857 − 6.92333I 0
u = −0.17172 − 1.76223I
a = 0.701510 + 0.173000I
b = 0.370775 + 0.162537I
4.69857 + 6.92333I 0
u = 0.140804 + 0.167460I
a = 2.73423 + 0.74596I
b = −1.97595 − 0.74814I
2.74230 + 1.89133I −0.60614 + 3.44577I
u = 0.140804 − 0.167460I
a = 2.73423 − 0.74596I
b = −1.97595 + 0.74814I
2.74230 − 1.89133I −0.60614 − 3.44577I
u = 1.28669 + 1.23220I
a = −0.009501 − 0.416180I
b = −1.079060 − 0.579450I
4.83529 + 6.60854I 0
u = 1.28669 − 1.23220I
a = −0.009501 + 0.416180I
b = −1.079060 + 0.579450I
4.83529 − 6.60854I 0
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.154922 + 0.071054I
a = 2.18622 − 7.26106I
b = −1.018360 − 0.312085I
3.46077 + 1.93838I −0.06520 − 3.72082I
u = −0.154922 − 0.071054I
a = 2.18622 + 7.26106I
b = −1.018360 + 0.312085I
3.46077 − 1.93838I −0.06520 + 3.72082I
u = 0.99360 + 1.54679I
a = 0.471346 + 0.498026I
b = 0.720296 + 0.416931I
5.89620 + 6.22721I 0
u = 0.99360 − 1.54679I
a = 0.471346 − 0.498026I
b = 0.720296 − 0.416931I
5.89620 − 6.22721I 0
u = −1.19654 + 1.63751I
a = 0.050463 + 0.189075I
b = −0.671970 + 0.314635I
2.35878 + 3.98604I 0
u = −1.19654 − 1.63751I
a = 0.050463 − 0.189075I
b = −0.671970 − 0.314635I
2.35878 − 3.98604I 0
u = 1.37054 + 1.66782I
a = −0.206872 − 0.374388I
b = −0.240681 − 0.314940I
−1.11240 + 1.49122I 0
u = 1.37054 − 1.66782I
a = −0.206872 + 0.374388I
b = −0.240681 + 0.314940I
−1.11240 − 1.49122I 0
25
II. I
u
2
= h−6.52 × 10
155
u
54
+ 2.65 × 10
155
u
53
+ · · · + 2.95 × 10
154
b + 1.64 ×
10
156
, −1.26 × 10
154
u
54
+ 1.73 × 10
153
u
53
+ · · · + 7.37 × 10
153
a + 3.33 ×
10
154
, u
55
+ 5u
53
+ · · · − 3u − 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
1.70268u
54
− 0.235071u
53
+ ··· + 3.54087u − 4.51587
22.1127u
54
− 8.98377u
53
+ ··· − 23.6168u − 55.7062
a
7
=
1
−u
2
a
4
=
−20.4392u
54
+ 8.69449u
53
+ ··· + 26.1602u + 51.4254
25.6100u
54
− 10.3512u
53
+ ··· − 28.2636u − 64.6358
a
2
=
−20.4100u
54
+ 8.74869u
53
+ ··· + 27.1577u + 51.1904
22.1127u
54
− 8.98377u
53
+ ··· − 23.6168u − 55.7062
a
12
=
−6.98647u
54
+ 1.82676u
53
+ ··· + 9.53270u + 26.8842
18.7384u
54
− 6.80379u
53
+ ··· − 13.2459u − 50.5375
a
1
=
−17.6729u
54
+ 7.43637u
53
+ ··· + 26.4547u + 44.6968
16.7195u
54
− 6.26131u
53
+ ··· − 11.4868u − 44.1561
a
5
=
−73.5386u
54
+ 28.7137u
53
+ ··· + 91.7107u + 183.342
93.0699u
54
− 35.6902u
53
+ ··· − 111.371u − 240.708
a
10
=
4.06505u
54
− 1.82961u
53
+ ··· + 0.820804u − 4.39077
−7.68688u
54
+ 3.14742u
53
+ ··· + 6.53397u + 19.2625
a
8
=
−2.27687u
54
+ 0.769765u
53
+ ··· − 3.33168u + 6.58859
1.67048u
54
− 0.821167u
53
+ ··· − 2.40500u − 4.31691
a
9
=
16.0428u
54
− 5.41218u
53
+ ··· + 2.74299u − 37.7904
−17.3886u
54
+ 5.16749u
53
+ ··· + 1.31441u + 50.1662
(ii) Obstruction class = 1
(iii) Cusp Shapes = 61.6350u
54
− 29.9698u
53
+ ··· − 148.718u − 146.660
26
(iv) u-Polynomials at the component
27
Crossings u-Polynomials at each crossing
c
1
u
55
− 11u
54
+ ··· + 643u − 107
c
2
u
55
+ 4u
54
+ ··· − 16u + 3
c
3
u
55
+ 7u
54
+ ··· + u − 1
c
4
u
55
− 2u
54
+ ··· + 71u − 9
c
5
u
55
+ 13u
53
+ ··· + 144u − 17
c
6
u
55
+ 5u
53
+ ··· − 3u − 1
c
7
u
55
− 3u
54
+ ··· + 56u − 103
c
8
u
55
+ 2u
54
+ ··· + 71u + 9
c
9
u
55
− 7u
54
+ ··· + 7u − 1
c
10
u
55
+ 2u
54
+ ··· + 11u − 1
c
11
u
55
+ 18u
54
+ ··· + 12u − 1
c
12
u
55
− u
54
+ ··· + 10u + 1
28
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
55
+ 5y
54
+ ··· − 209933y −11449
c
2
y
55
+ 26y
54
+ ··· + 214y −9
c
3
y
55
+ 13y
54
+ ··· − 15y −1
c
4
, c
8
y
55
+ 34y
54
+ ··· − 287y −81
c
5
y
55
+ 26y
54
+ ··· − 18568y −289
c
6
y
55
+ 10y
54
+ ··· + 3y −1
c
7
y
55
− y
54
+ ··· − 168874y −10609
c
9
y
55
+ 19y
54
+ ··· − 69y −1
c
10
y
55
− 12y
54
+ ··· − 9y −1
c
11
y
55
− 12y
54
+ ··· + 64y −1
c
12
y
55
+ 33y
54
+ ··· + 22y −1
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.392496 + 0.903206I
a = −1.41803 − 0.84217I
b = −0.343072 − 0.158955I
5.10076 + 5.20087I −2.79597 − 5.98933I
u = 0.392496 − 0.903206I
a = −1.41803 + 0.84217I
b = −0.343072 + 0.158955I
5.10076 − 5.20087I −2.79597 + 5.98933I
u = −0.588983 + 0.773442I
a = −0.523476 + 0.256215I
b = 0.595533 − 0.266458I
0.17368 − 5.22925I −7.61266 + 6.31352I
u = −0.588983 − 0.773442I
a = −0.523476 − 0.256215I
b = 0.595533 + 0.266458I
0.17368 + 5.22925I −7.61266 − 6.31352I
u = 0.394923 + 0.836293I
a = 0.219725 + 0.854082I
b = −0.209834 + 0.498338I
−2.51234 + 0.77305I −12.56130 − 0.64379I
u = 0.394923 − 0.836293I
a = 0.219725 − 0.854082I
b = −0.209834 − 0.498338I
−2.51234 − 0.77305I −12.56130 + 0.64379I
u = 0.596393 + 0.688127I
a = −0.257234 + 0.466341I
b = −0.886046 + 0.351246I
−2.46159 + 0.56839I −17.6390 − 4.0305I
u = 0.596393 − 0.688127I
a = −0.257234 − 0.466341I
b = −0.886046 − 0.351246I
−2.46159 − 0.56839I −17.6390 + 4.0305I
u = −0.849492 + 0.298630I
a = −0.367907 − 0.844742I
b = 0.449764 − 1.194280I
1.75515 − 2.57773I −4.47640 + 5.33254I
u = −0.849492 − 0.298630I
a = −0.367907 + 0.844742I
b = 0.449764 + 1.194280I
1.75515 + 2.57773I −4.47640 − 5.33254I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.897757
a = −1.23092
b = 0.397408
−2.46316 −43.5550
u = 0.057465 + 0.881942I
a = 0.38914 + 1.80151I
b = 0.34829 + 1.53710I
−2.27118 + 2.07508I −16.4211 − 0.1865I
u = 0.057465 − 0.881942I
a = 0.38914 − 1.80151I
b = 0.34829 − 1.53710I
−2.27118 − 2.07508I −16.4211 + 0.1865I
u = −1.151960 + 0.026183I
a = −1.025970 + 0.530145I
b = 0.661678 − 0.225347I
5.90994 − 0.09408I 0
u = −1.151960 − 0.026183I
a = −1.025970 − 0.530145I
b = 0.661678 + 0.225347I
5.90994 + 0.09408I 0
u = 0.608554 + 1.009920I
a = 0.482335 + 1.223390I
b = 0.776732 + 1.062870I
0.35661 + 5.93712I 0
u = 0.608554 − 1.009920I
a = 0.482335 − 1.223390I
b = 0.776732 − 1.062870I
0.35661 − 5.93712I 0
u = 1.032130 + 0.593878I
a = −0.491914 − 0.672064I
b = −0.748280 + 0.273265I
5.82791 − 3.59484I 0
u = 1.032130 − 0.593878I
a = −0.491914 + 0.672064I
b = −0.748280 − 0.273265I
5.82791 + 3.59484I 0
u = −0.307730 + 0.746549I
a = −0.543724 − 1.282360I
b = 0.837803 − 0.798439I
0.24044 − 4.20991I −6.05030 + 8.60421I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.307730 − 0.746549I
a = −0.543724 + 1.282360I
b = 0.837803 + 0.798439I
0.24044 + 4.20991I −6.05030 − 8.60421I
u = −0.745754 + 0.240312I
a = 1.20964 + 0.88153I
b = −0.483828 + 1.083530I
6.9910 − 12.5697I −0.86036 + 8.98948I
u = −0.745754 − 0.240312I
a = 1.20964 − 0.88153I
b = −0.483828 − 1.083530I
6.9910 + 12.5697I −0.86036 − 8.98948I
u = 0.585136 + 0.266624I
a = −1.44027 + 1.56477I
b = 0.248980 + 1.024120I
2.12371 + 6.79065I −2.07557 − 8.71636I
u = 0.585136 − 0.266624I
a = −1.44027 − 1.56477I
b = 0.248980 − 1.024120I
2.12371 − 6.79065I −2.07557 + 8.71636I
u = −0.110522 + 0.624657I
a = −0.13871 − 3.04242I
b = 0.34334 − 1.92111I
−0.95749 − 2.54559I 6.16642 + 6.09316I
u = −0.110522 − 0.624657I
a = −0.13871 + 3.04242I
b = 0.34334 + 1.92111I
−0.95749 + 2.54559I 6.16642 − 6.09316I
u = 0.992301 + 0.977412I
a = 0.298947 − 1.081510I
b = −0.877145 − 0.754539I
−2.62629 + 5.74156I 0
u = 0.992301 − 0.977412I
a = 0.298947 + 1.081510I
b = −0.877145 + 0.754539I
−2.62629 − 5.74156I 0
u = −0.841590 + 1.117700I
a = 0.151186 − 0.621747I
b = 1.154810 − 0.610011I
1.42740 − 4.61666I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.841590 − 1.117700I
a = 0.151186 + 0.621747I
b = 1.154810 + 0.610011I
1.42740 + 4.61666I 0
u = −0.518985 + 0.040876I
a = 3.33346 + 0.11249I
b = −0.343316 − 0.508042I
6.39208 − 0.18827I 5.50995 − 2.02170I
u = −0.518985 − 0.040876I
a = 3.33346 − 0.11249I
b = −0.343316 + 0.508042I
6.39208 + 0.18827I 5.50995 + 2.02170I
u = 1.23516 + 0.83241I
a = −0.023663 − 0.735449I
b = −0.950409 − 0.430103I
6.98223 + 4.40163I 0
u = 1.23516 − 0.83241I
a = −0.023663 + 0.735449I
b = −0.950409 + 0.430103I
6.98223 − 4.40163I 0
u = −1.31803 + 0.82290I
a = 0.255557 − 0.334629I
b = 0.881668 + 0.197628I
6.67034 + 1.49346I 0
u = −1.31803 − 0.82290I
a = 0.255557 + 0.334629I
b = 0.881668 − 0.197628I
6.67034 − 1.49346I 0
u = 0.91077 + 1.27886I
a = −0.378228 − 0.905382I
b = −1.32057 − 0.89377I
3.70840 + 10.86260I 0
u = 0.91077 − 1.27886I
a = −0.378228 + 0.905382I
b = −1.32057 + 0.89377I
3.70840 − 10.86260I 0
u = −1.04612 + 1.22402I
a = 0.217162 − 0.868055I
b = 1.24450 − 0.78239I
5.23592 − 9.78749I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.04612 − 1.22402I
a = 0.217162 + 0.868055I
b = 1.24450 + 0.78239I
5.23592 + 9.78749I 0
u = −0.384465 + 0.016975I
a = 0.508108 − 0.591786I
b = 1.85003 − 2.88937I
2.97392 − 2.05206I 45.0433 − 4.9130I
u = −0.384465 − 0.016975I
a = 0.508108 + 0.591786I
b = 1.85003 + 2.88937I
2.97392 + 2.05206I 45.0433 + 4.9130I
u = 0.036153 + 0.332737I
a = −0.557277 + 1.107470I
b = 1.29433 + 2.86786I
3.54058 − 1.73301I −36.6794 + 20.4505I
u = 0.036153 − 0.332737I
a = −0.557277 − 1.107470I
b = 1.29433 − 2.86786I
3.54058 + 1.73301I −36.6794 − 20.4505I
u = 0.248228 + 0.210642I
a = 5.29143 + 0.60921I
b = −0.593571 − 0.610439I
4.74122 + 3.15766I −7.73162 − 5.76730I
u = 0.248228 − 0.210642I
a = 5.29143 − 0.60921I
b = −0.593571 + 0.610439I
4.74122 − 3.15766I −7.73162 + 5.76730I
u = −0.71942 + 1.73813I
a = −0.542825 + 0.417973I
b = −0.650889 + 0.279407I
5.17168 − 7.09844I 0
u = −0.71942 − 1.73813I
a = −0.542825 − 0.417973I
b = −0.650889 − 0.279407I
5.17168 + 7.09844I 0
u = −1.33902 + 1.42251I
a = −0.085180 + 0.188623I
b = −0.603905 + 0.364394I
2.62680 + 3.89829I 0
35
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.33902 − 1.42251I
a = −0.085180 − 0.188623I
b = −0.603905 − 0.364394I
2.62680 − 3.89829I 0
u = 0.95797 + 1.71626I
a = −0.136922 − 0.321586I
b = −1.178280 − 0.420218I
4.28123 + 6.89130I 0
u = 0.95797 − 1.71626I
a = −0.136922 + 0.321586I
b = −1.178280 + 0.420218I
4.28123 − 6.89130I 0
u = 1.42550 + 1.66416I
a = 0.190111 + 0.367734I
b = 0.302978 + 0.320794I
−1.08326 + 1.55206I 0
u = 1.42550 − 1.66416I
a = 0.190111 − 0.367734I
b = 0.302978 − 0.320794I
−1.08326 − 1.55206I 0
36
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
55
− 11u
54
+ ··· + 643u − 107)
· (u
208
+ 4u
207
+ ··· − 224906561670u − 63352175999)
c
2
(u
55
+ 4u
54
+ ··· − 16u + 3)(u
208
− 5u
207
+ ··· − 237737u + 17081)
c
3
(u
55
+ 7u
54
+ ··· + u − 1)(u
208
− 4u
207
+ ··· + 28u − 1)
c
4
(u
55
− 2u
54
+ ··· + 71u − 9)(u
208
+ 3u
207
+ ··· + 2214u − 83)
c
5
(u
55
+ 13u
53
+ ··· + 144u − 17)
· (u
208
− u
207
+ ··· − 431064724298593u + 90684077361587)
c
6
(u
55
+ 5u
53
+ ··· − 3u − 1)(u
208
− 5u
207
+ ··· + 270u + 71)
c
7
(u
55
− 3u
54
+ ··· + 56u − 103)
· (u
208
− 18u
207
+ ··· − 8169806861101u + 531367876849)
c
8
(u
55
+ 2u
54
+ ··· + 71u + 9)(u
208
+ 3u
207
+ ··· + 2214u − 83)
c
9
(u
55
− 7u
54
+ ··· + 7u − 1)
· (u
208
+ 33u
206
+ ··· + 36106632u + 12489409)
c
10
(u
55
+ 2u
54
+ ··· + 11u − 1)(u
208
+ u
207
+ ··· + 147178u − 2621)
c
11
(u
55
+ 18u
54
+ ··· + 12u − 1)(u
208
− 7u
207
+ ··· + 5619u + 531)
c
12
(u
55
− u
54
+ ··· + 10u + 1)
· (u
208
− 2u
207
+ ··· − 838743923703u + 62461848131)
37
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
55
+ 5y
54
+ ··· − 209933y −11449)
· (y
208
+ 72y
207
+ ··· + 2.81 × 10
23
y + 4.01 × 10
21
)
c
2
(y
55
+ 26y
54
+ ··· + 214y −9)
· (y
208
− 7y
207
+ ··· + 22229892265y + 291760561)
c
3
(y
55
+ 13y
54
+ ··· − 15y −1)(y
208
+ 12y
207
+ ··· + 542y + 1)
c
4
, c
8
(y
55
+ 34y
54
+ ··· − 287y −81)
· (y
208
+ 145y
207
+ ··· − 1270546y + 6889)
c
5
(y
55
+ 26y
54
+ ··· − 18568y −289)
· (y
208
+ 117y
207
+ ··· + 1.95 × 10
29
y + 8.22 × 10
27
)
c
6
(y
55
+ 10y
54
+ ··· + 3y −1)(y
208
+ 25y
207
+ ··· + 90684y + 5041)
c
7
(y
55
− y
54
+ ··· − 168874y −10609)
· (y
208
+ 74y
207
+ ··· + 2.40 × 10
25
y + 2.82 × 10
23
)
c
9
(y
55
+ 19y
54
+ ··· − 69y −1)
· (y
208
+ 66y
207
+ ··· + 6452214131562176y + 155985337169281)
c
10
(y
55
− 12y
54
+ ··· − 9y −1)
· (y
208
+ 19y
207
+ ··· − 5108039792y + 6869641)
c
11
(y
55
− 12y
54
+ ··· + 64y −1)
· (y
208
− 17y
207
+ ··· − 28051569y + 281961)
c
12
(y
55
+ 33y
54
+ ··· + 22y −1)
· (y
208
+ 92y
207
+ ··· + 9.60 × 10
22
y + 3.90 × 10
21
)
38
