12a
1155
(K12a
1155
)
A knot diagram
1
Linearized knot diagam
4 9 7 10 12 2 11 3 6 1 8 5
Solving Sequence
3,8
9
2,12
11 7 4 1 6 5 10
c
8
c
2
c
11
c
7
c
3
c
1
c
6
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.50988 × 10
1377
u
193
+ 5.90345 × 10
1378
u
192
+ ··· + 5.92791 × 10
1378
b − 5.34232 × 10
1384
,
− 5.91310 × 10
1384
u
193
− 1.11374 × 10
1385
u
192
+ ··· + 4.68861 × 10
1384
a + 5.14788 × 10
1390
,
u
194
+ u
193
+ ··· − 1651839u − 790939i
I
u
2
= h−1.99760 × 10
82
u
57
+ 5.15828 × 10
81
u
56
+ ··· + 1.43336 × 10
82
b − 1.65100 × 10
82
,
1.86247 × 10
82
u
57
+ 5.00930 × 10
80
u
56
+ ··· + 1.43336 × 10
82
a − 3.53162 × 10
82
, u
58
+ 18u
56
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 252 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−1.51 × 10
1377
u
193
+ 5.90 × 10
1378
u
192
+ · · · + 5.93 × 10
1378
b −
5.34 × 10
1384
, −5.91 × 10
1384
u
193
− 1.11 × 10
1385
u
192
+ · · · + 4.69 ×
10
1384
a + 5.15 × 10
1390
, u
194
+ u
193
+ · · · − 1651839u − 790939i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
2
=
u
u
3
+ u
a
12
=
1.26116u
193
+ 2.37542u
192
+ ··· − 3.16290 × 10
6
u − 1.09795 × 10
6
0.0254707u
193
− 0.995873u
192
+ ··· + 1.73070 × 10
6
u + 901215.
a
11
=
1.28663u
193
+ 1.37955u
192
+ ··· − 1.43220 × 10
6
u − 196739.
0.0254707u
193
− 0.995873u
192
+ ··· + 1.73070 × 10
6
u + 901215.
a
7
=
−0.269234u
193
− 0.382547u
192
+ ··· + 688122.u + 201144.
1.19256u
193
+ 1.92736u
192
+ ··· − 2.78150 × 10
6
u − 847543.
a
4
=
0.579703u
193
+ 1.03632u
192
+ ··· − 1.34421 × 10
6
u − 432416.
0.450166u
193
+ 0.872018u
192
+ ··· − 1.27867 × 10
6
u − 468981.
a
1
=
0.599790u
193
+ 0.366313u
192
+ ··· − 390711.u + 57558.9
−0.0944036u
193
− 0.913057u
192
+ ··· + 1.51939 × 10
6
u + 741934.
a
6
=
−1.43082u
193
− 2.07265u
192
+ ··· + 3.06205 × 10
6
u + 856286.
1.06618u
193
+ 1.57062u
192
+ ··· − 2.19934 × 10
6
u − 610425.
a
5
=
−0.472776u
193
− 0.774592u
192
+ ··· + 1.13923 × 10
6
u + 370057.
−0.161775u
193
− 0.0848087u
192
+ ··· + 52404.0u − 45327.9
a
10
=
1.17797u
193
+ 1.00013u
192
+ ··· − 954147.u + 24399.5
−0.349845u
193
− 0.676480u
192
+ ··· + 936578.u + 319712.
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3.42353u
193
+ 12.3533u
192
+ ··· −1.94793 ×10
7
u − 8.52189 ×10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
− 11u
193
+ ··· − 62880330u + 4090161
c
2
, c
8
u
194
− u
193
+ ··· + 1651839u − 790939
c
3
u
194
+ 11u
193
+ ··· + 408965120u + 61030400
c
4
u
194
− u
193
+ ··· + 56u − 8
c
5
, c
12
u
194
− 3u
193
+ ··· + 190059624u + 9025047
c
6
u
194
− 3u
193
+ ··· + 40202554u + 2009017
c
7
, c
11
u
194
− u
193
+ ··· + 455874u − 98619
c
9
u
194
+ 7u
193
+ ··· + 1253802198507u − 145931161770
c
10
u
194
− u
193
+ ··· − 285u + 44
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
+ 53y
193
+ ··· + 717183428110710y + 16729417005921
c
2
, c
8
y
194
+ 125y
193
+ ··· + 20930327480459y + 625584501721
c
3
y
194
+ 43y
193
+ ··· − 127849415154073600y + 3724709724160000
c
4
y
194
− 13y
193
+ ··· + 1440y + 64
c
5
, c
12
y
194
+ 131y
193
+ ··· − 965532633072174y + 81451473352209
c
6
y
194
+ 49y
193
+ ··· + 7208004183428y + 4036149306289
c
7
, c
11
y
194
− 97y
193
+ ··· − 576170958396y + 9725707161
c
9
y
194
+ 71y
193
+ ··· + 1.21 × 10
24
y + 2.13 × 10
22
c
10
y
194
− 23y
193
+ ··· − 1116017y + 1936
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.141757 + 0.992496I
a = 0.163340 + 0.401248I
b = 0.125416 − 0.882349I
−0.05703 + 5.75531I 0
u = −0.141757 − 0.992496I
a = 0.163340 − 0.401248I
b = 0.125416 + 0.882349I
−0.05703 − 5.75531I 0
u = 0.012567 + 0.996931I
a = −0.66341 + 1.84287I
b = 0.172614 − 1.345680I
3.23208 − 0.05229I 0
u = 0.012567 − 0.996931I
a = −0.66341 − 1.84287I
b = 0.172614 + 1.345680I
3.23208 + 0.05229I 0
u = 0.183620 + 0.969879I
a = 0.786047 + 0.313791I
b = −1.53889 − 0.04387I
0.87248 − 4.35039I 0
u = 0.183620 − 0.969879I
a = 0.786047 − 0.313791I
b = −1.53889 + 0.04387I
0.87248 + 4.35039I 0
u = 1.010950 + 0.088150I
a = 0.420693 + 0.209939I
b = 0.731544 − 0.486785I
−0.240796 − 1.041520I 0
u = 1.010950 − 0.088150I
a = 0.420693 − 0.209939I
b = 0.731544 + 0.486785I
−0.240796 + 1.041520I 0
u = 0.702164 + 0.741809I
a = 0.070096 − 0.844095I
b = 1.030280 − 0.360452I
−4.26655 + 5.95623I 0
u = 0.702164 − 0.741809I
a = 0.070096 + 0.844095I
b = 1.030280 + 0.360452I
−4.26655 − 5.95623I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.373062 + 0.903622I
a = −1.20701 + 1.35773I
b = −1.212420 − 0.470885I
−3.81513 − 10.23240I 0
u = 0.373062 − 0.903622I
a = −1.20701 − 1.35773I
b = −1.212420 + 0.470885I
−3.81513 + 10.23240I 0
u = −0.085914 + 0.972801I
a = −0.17201 + 2.56255I
b = −0.692011 − 0.160444I
4.09753 − 0.21757I 0
u = −0.085914 − 0.972801I
a = −0.17201 − 2.56255I
b = −0.692011 + 0.160444I
4.09753 + 0.21757I 0
u = 0.613142 + 0.820785I
a = 0.575284 − 0.121686I
b = −1.224860 + 0.233289I
−4.05828 − 3.74240I 0
u = 0.613142 − 0.820785I
a = 0.575284 + 0.121686I
b = −1.224860 − 0.233289I
−4.05828 + 3.74240I 0
u = −0.122959 + 0.949111I
a = −0.039975 − 0.899708I
b = 1.270660 + 0.316796I
−0.38062 + 3.28995I 0
u = −0.122959 − 0.949111I
a = −0.039975 + 0.899708I
b = 1.270660 − 0.316796I
−0.38062 − 3.28995I 0
u = 0.107862 + 0.943439I
a = 0.17255 + 3.89805I
b = 0.591677 − 0.203306I
2.01211 − 7.03068I 0
u = 0.107862 − 0.943439I
a = 0.17255 − 3.89805I
b = 0.591677 + 0.203306I
2.01211 + 7.03068I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.698437 + 0.641631I
a = 0.276948 + 0.195181I
b = 1.150670 + 0.382326I
−4.77250 − 1.88463I 0
u = −0.698437 − 0.641631I
a = 0.276948 − 0.195181I
b = 1.150670 − 0.382326I
−4.77250 + 1.88463I 0
u = −0.571720 + 0.885000I
a = 0.657406 − 0.837722I
b = −1.62664 + 0.20912I
−5.55754 + 9.30667I 0
u = −0.571720 − 0.885000I
a = 0.657406 + 0.837722I
b = −1.62664 − 0.20912I
−5.55754 − 9.30667I 0
u = −0.112545 + 1.052170I
a = −0.74904 + 1.75486I
b = 1.33777 − 0.93989I
2.61512 + 4.80540I 0
u = −0.112545 − 1.052170I
a = −0.74904 − 1.75486I
b = 1.33777 + 0.93989I
2.61512 − 4.80540I 0
u = 0.028466 + 1.067350I
a = 0.38284 − 3.04993I
b = 0.884838 + 0.378701I
4.83034 + 0.43988I 0
u = 0.028466 − 1.067350I
a = 0.38284 + 3.04993I
b = 0.884838 − 0.378701I
4.83034 − 0.43988I 0
u = 0.921549 + 0.104379I
a = −0.694260 + 1.026770I
b = −0.193219 − 1.048660I
−0.18284 + 8.97734I 0
u = 0.921549 − 0.104379I
a = −0.694260 − 1.026770I
b = −0.193219 + 1.048660I
−0.18284 − 8.97734I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.156861 + 0.911862I
a = 0.478462 + 0.325241I
b = 1.139960 + 0.096404I
−1.40701 + 1.73482I 0
u = −0.156861 − 0.911862I
a = 0.478462 − 0.325241I
b = 1.139960 − 0.096404I
−1.40701 − 1.73482I 0
u = −0.075733 + 0.920826I
a = −1.06604 − 1.58618I
b = 1.38632 + 0.94262I
−0.62948 + 3.58997I 0
u = −0.075733 − 0.920826I
a = −1.06604 + 1.58618I
b = 1.38632 − 0.94262I
−0.62948 − 3.58997I 0
u = −0.460687 + 0.976608I
a = −0.25897 − 1.89271I
b = −1.169800 + 0.517564I
−3.70753 + 6.39451I 0
u = −0.460687 − 0.976608I
a = −0.25897 + 1.89271I
b = −1.169800 − 0.517564I
−3.70753 − 6.39451I 0
u = 1.082490 + 0.186558I
a = 0.655668 − 0.110945I
b = 0.935171 − 0.269263I
−0.52302 + 1.95724I 0
u = 1.082490 − 0.186558I
a = 0.655668 + 0.110945I
b = 0.935171 + 0.269263I
−0.52302 − 1.95724I 0
u = −0.884808 + 0.663733I
a = −0.512145 + 0.959964I
b = 1.55204 − 0.12993I
−6.37930 − 3.93678I 0
u = −0.884808 − 0.663733I
a = −0.512145 − 0.959964I
b = 1.55204 + 0.12993I
−6.37930 + 3.93678I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.103990 + 0.073176I
a = −0.482596 + 0.574349I
b = −1.117840 − 0.535989I
0.43529 − 8.89903I 0
u = 1.103990 − 0.073176I
a = −0.482596 − 0.574349I
b = −1.117840 + 0.535989I
0.43529 + 8.89903I 0
u = −0.012111 + 0.891727I
a = 0.68008 + 2.79498I
b = −0.718619 − 0.804079I
−0.81128 − 4.94492I 0
u = −0.012111 − 0.891727I
a = 0.68008 − 2.79498I
b = −0.718619 + 0.804079I
−0.81128 + 4.94492I 0
u = −0.300630 + 1.068800I
a = 0.53016 − 2.13216I
b = −1.012020 + 0.748608I
−2.36541 + 5.65305I 0
u = −0.300630 − 1.068800I
a = 0.53016 + 2.13216I
b = −1.012020 − 0.748608I
−2.36541 − 5.65305I 0
u = 0.390413 + 1.043690I
a = −0.01824 − 1.62063I
b = −0.291925 + 1.140940I
5.03548 − 1.54324I 0
u = 0.390413 − 1.043690I
a = −0.01824 + 1.62063I
b = −0.291925 − 1.140940I
5.03548 + 1.54324I 0
u = −0.855806 + 0.207817I
a = −0.332375 + 0.585087I
b = −0.287391 − 0.745600I
2.84978 + 4.10135I 0
u = −0.855806 − 0.207817I
a = −0.332375 − 0.585087I
b = −0.287391 + 0.745600I
2.84978 − 4.10135I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.079210 + 0.301920I
a = 0.557126 − 0.205509I
b = 0.922776 + 0.499946I
−0.83638 − 5.13379I 0
u = −1.079210 − 0.301920I
a = 0.557126 + 0.205509I
b = 0.922776 − 0.499946I
−0.83638 + 5.13379I 0
u = −0.052636 + 0.875022I
a = 1.08237 − 2.31394I
b = −0.820533 + 0.560278I
−1.84370 − 0.44111I 0
u = −0.052636 − 0.875022I
a = 1.08237 + 2.31394I
b = −0.820533 − 0.560278I
−1.84370 + 0.44111I 0
u = 0.277966 + 1.094970I
a = 0.27805 + 1.57449I
b = −1.049610 − 0.700045I
2.37803 − 3.36677I 0
u = 0.277966 − 1.094970I
a = 0.27805 − 1.57449I
b = −1.049610 + 0.700045I
2.37803 + 3.36677I 0
u = −0.095539 + 1.133020I
a = −0.73877 − 2.87835I
b = −0.830698 + 0.401060I
3.37646 + 6.68626I 0
u = −0.095539 − 1.133020I
a = −0.73877 + 2.87835I
b = −0.830698 − 0.401060I
3.37646 − 6.68626I 0
u = −0.153065 + 0.849088I
a = 0.51004 − 1.98225I
b = −0.72291 + 1.30755I
−0.55572 − 2.21708I 0
u = −0.153065 − 0.849088I
a = 0.51004 + 1.98225I
b = −0.72291 − 1.30755I
−0.55572 + 2.21708I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.197752 + 1.121700I
a = 1.12470 + 1.96532I
b = −1.122350 − 0.630454I
−2.26508 − 0.70757I 0
u = 0.197752 − 1.121700I
a = 1.12470 − 1.96532I
b = −1.122350 + 0.630454I
−2.26508 + 0.70757I 0
u = −0.221543 + 1.126860I
a = −0.21070 + 1.85774I
b = 1.289210 − 0.532367I
−0.86302 + 6.13303I 0
u = −0.221543 − 1.126860I
a = −0.21070 − 1.85774I
b = 1.289210 + 0.532367I
−0.86302 − 6.13303I 0
u = 0.613195 + 0.977810I
a = −0.147630 − 0.731590I
b = 1.373540 + 0.181772I
−7.26828 − 1.52844I 0
u = 0.613195 − 0.977810I
a = −0.147630 + 0.731590I
b = 1.373540 − 0.181772I
−7.26828 + 1.52844I 0
u = 0.903048 + 0.762605I
a = −0.037219 − 1.364120I
b = 1.060500 + 0.632297I
−4.51146 − 1.87791I 0
u = 0.903048 − 0.762605I
a = −0.037219 + 1.364120I
b = 1.060500 − 0.632297I
−4.51146 + 1.87791I 0
u = 1.024660 + 0.593621I
a = −0.043160 + 0.754894I
b = −1.224310 − 0.073065I
−8.62806 − 4.24228I 0
u = 1.024660 − 0.593621I
a = −0.043160 − 0.754894I
b = −1.224310 + 0.073065I
−8.62806 + 4.24228I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.291631 + 1.164270I
a = −0.59579 − 1.83467I
b = 1.21591 + 0.92947I
−1.06269 − 11.81910I 0
u = 0.291631 − 1.164270I
a = −0.59579 + 1.83467I
b = 1.21591 − 0.92947I
−1.06269 + 11.81910I 0
u = −1.210700 + 0.175801I
a = 0.150096 + 1.025400I
b = 1.024850 − 0.854983I
−1.70744 + 3.81023I 0
u = −1.210700 − 0.175801I
a = 0.150096 − 1.025400I
b = 1.024850 + 0.854983I
−1.70744 − 3.81023I 0
u = −0.747472 + 0.173357I
a = −0.109262 − 1.074320I
b = 0.528423 + 0.497889I
−3.35851 − 2.95071I 0
u = −0.747472 − 0.173357I
a = −0.109262 + 1.074320I
b = 0.528423 − 0.497889I
−3.35851 + 2.95071I 0
u = −0.241122 + 1.215340I
a = −0.008227 + 1.356890I
b = 0.056353 − 1.139580I
7.08361 + 2.79268I 0
u = −0.241122 − 1.215340I
a = −0.008227 − 1.356890I
b = 0.056353 + 1.139580I
7.08361 − 2.79268I 0
u = −0.311147 + 1.203840I
a = 0.17743 + 1.45236I
b = 1.283630 − 0.394427I
−1.51736 + 6.67010I 0
u = −0.311147 − 1.203840I
a = 0.17743 − 1.45236I
b = 1.283630 + 0.394427I
−1.51736 − 6.67010I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.182060 + 0.401122I
a = 0.0086736 + 0.0155341I
b = 0.980942 + 0.270063I
−0.688997 − 0.140298I 0
u = −1.182060 − 0.401122I
a = 0.0086736 − 0.0155341I
b = 0.980942 − 0.270063I
−0.688997 + 0.140298I 0
u = −0.738513 + 0.111285I
a = 1.156250 − 0.453907I
b = 0.915145 + 0.579228I
−1.01502 − 4.25132I 0
u = −0.738513 − 0.111285I
a = 1.156250 + 0.453907I
b = 0.915145 − 0.579228I
−1.01502 + 4.25132I 0
u = −0.745520
a = −1.45175
b = −1.00386
−4.46196 0
u = 0.740597 + 0.075694I
a = 0.800859 − 1.063810I
b = 0.238716 + 1.148900I
0.47281 − 3.27667I 0
u = 0.740597 − 0.075694I
a = 0.800859 + 1.063810I
b = 0.238716 − 1.148900I
0.47281 + 3.27667I 0
u = 0.036943 + 1.257370I
a = −2.11103 − 0.98282I
b = 0.760879 + 0.335671I
5.26485 − 3.65445I 0
u = 0.036943 − 1.257370I
a = −2.11103 + 0.98282I
b = 0.760879 − 0.335671I
5.26485 + 3.65445I 0
u = −0.331273 + 1.214680I
a = 0.55420 − 1.33553I
b = −0.376956 + 0.118818I
0.15486 + 6.77754I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.331273 − 1.214680I
a = 0.55420 + 1.33553I
b = −0.376956 − 0.118818I
0.15486 − 6.77754I 0
u = −0.149470 + 1.252490I
a = −2.02601 + 1.88203I
b = 1.111220 − 0.376418I
−0.02912 + 9.82160I 0
u = −0.149470 − 1.252490I
a = −2.02601 − 1.88203I
b = 1.111220 + 0.376418I
−0.02912 − 9.82160I 0
u = −0.579114 + 1.122990I
a = −1.054090 − 0.676947I
b = −0.699592 + 0.340503I
4.90661 + 3.64655I 0
u = −0.579114 − 1.122990I
a = −1.054090 + 0.676947I
b = −0.699592 − 0.340503I
4.90661 − 3.64655I 0
u = 0.043393 + 1.264150I
a = 0.236409 + 1.186900I
b = −0.496891 − 0.948200I
3.97925 − 2.63874I 0
u = 0.043393 − 1.264150I
a = 0.236409 − 1.186900I
b = −0.496891 + 0.948200I
3.97925 + 2.63874I 0
u = −1.269250 + 0.077896I
a = −0.088902 + 0.492604I
b = −1.238480 − 0.604359I
−3.3675 − 14.7813I 0
u = −1.269250 − 0.077896I
a = −0.088902 − 0.492604I
b = −1.238480 + 0.604359I
−3.3675 + 14.7813I 0
u = 0.712307 + 0.060309I
a = 0.800762 − 0.929031I
b = 1.077060 + 0.168010I
−1.68046 + 1.54359I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.712307 − 0.060309I
a = 0.800762 + 0.929031I
b = 1.077060 − 0.168010I
−1.68046 − 1.54359I 0
u = 0.190249 + 1.284900I
a = 1.310230 − 0.437763I
b = −0.663839 + 0.517318I
3.62767 − 2.82994I 0
u = 0.190249 − 1.284900I
a = 1.310230 + 0.437763I
b = −0.663839 − 0.517318I
3.62767 + 2.82994I 0
u = 0.049552 + 0.699003I
a = 0.304009 − 0.065197I
b = 1.329970 − 0.418526I
−4.02753 − 0.58659I 0
u = 0.049552 − 0.699003I
a = 0.304009 + 0.065197I
b = 1.329970 + 0.418526I
−4.02753 + 0.58659I 0
u = −0.558450 + 0.402479I
a = −0.162118 − 0.103374I
b = 1.184810 + 0.529511I
−4.29748 − 2.36254I 0
u = −0.558450 − 0.402479I
a = −0.162118 + 0.103374I
b = 1.184810 − 0.529511I
−4.29748 + 2.36254I 0
u = 0.130784 + 1.305250I
a = 0.428779 + 1.050390I
b = −0.519465 − 0.428573I
3.29612 − 2.06294I 0
u = 0.130784 − 1.305250I
a = 0.428779 − 1.050390I
b = −0.519465 + 0.428573I
3.29612 + 2.06294I 0
u = 0.203965 + 0.653111I
a = 0.880704 − 0.896634I
b = −0.184452 + 0.654679I
−0.90305 − 1.69960I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.203965 − 0.653111I
a = 0.880704 + 0.896634I
b = −0.184452 − 0.654679I
−0.90305 + 1.69960I 0
u = 0.585393 + 1.198790I
a = −0.89421 + 1.62831I
b = −0.667509 − 0.685707I
3.60459 − 7.93827I 0
u = 0.585393 − 1.198790I
a = −0.89421 − 1.62831I
b = −0.667509 + 0.685707I
3.60459 + 7.93827I 0
u = −0.274285 + 1.315170I
a = 0.336365 + 0.996411I
b = −0.525280 − 0.790982I
4.94232 − 0.88409I 0
u = −0.274285 − 1.315170I
a = 0.336365 − 0.996411I
b = −0.525280 + 0.790982I
4.94232 + 0.88409I 0
u = −0.080227 + 0.650717I
a = 1.13664 − 1.28468I
b = −0.390995 + 0.565964I
−0.90676 − 1.74017I 0
u = −0.080227 − 0.650717I
a = 1.13664 + 1.28468I
b = −0.390995 − 0.565964I
−0.90676 + 1.74017I 0
u = 1.339900 + 0.177175I
a = −0.305905 + 0.486053I
b = 1.41341 − 0.68044I
−2.78336 + 5.08720I 0
u = 1.339900 − 0.177175I
a = −0.305905 − 0.486053I
b = 1.41341 + 0.68044I
−2.78336 − 5.08720I 0
u = 0.504628 + 0.389189I
a = 1.037650 + 0.072486I
b = 0.031712 + 0.412942I
−1.61738 − 1.41619I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.504628 − 0.389189I
a = 1.037650 − 0.072486I
b = 0.031712 − 0.412942I
−1.61738 + 1.41619I 0
u = 0.523230 + 1.260220I
a = 1.00701 − 1.14637I
b = 0.626905 + 0.441316I
3.68492 + 4.33866I 0
u = 0.523230 − 1.260220I
a = 1.00701 + 1.14637I
b = 0.626905 − 0.441316I
3.68492 − 4.33866I 0
u = −0.588653 + 0.237393I
a = −1.20621 − 1.19546I
b = −1.095030 − 0.217933I
−4.56951 − 3.23821I 0
u = −0.588653 − 0.237393I
a = −1.20621 + 1.19546I
b = −1.095030 + 0.217933I
−4.56951 + 3.23821I 0
u = −0.566761 + 0.269113I
a = 0.84256 − 1.27775I
b = 0.663580 − 0.210533I
−2.91506 − 3.25491I 0
u = −0.566761 − 0.269113I
a = 0.84256 + 1.27775I
b = 0.663580 + 0.210533I
−2.91506 + 3.25491I 0
u = 0.159312 + 1.364020I
a = −1.51880 − 0.29408I
b = 0.704075 + 0.077038I
2.17373 − 5.27368I 0
u = 0.159312 − 1.364020I
a = −1.51880 + 0.29408I
b = 0.704075 − 0.077038I
2.17373 + 5.27368I 0
u = 0.182836 + 1.366050I
a = 0.86098 + 1.21551I
b = −0.843976 − 0.282095I
3.32688 − 1.86040I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.182836 − 1.366050I
a = 0.86098 − 1.21551I
b = −0.843976 + 0.282095I
3.32688 + 1.86040I 0
u = 0.516382 + 1.281070I
a = −0.73171 + 1.36342I
b = 0.469318 − 1.268170I
3.4603 − 14.2159I 0
u = 0.516382 − 1.281070I
a = −0.73171 − 1.36342I
b = 0.469318 + 1.268170I
3.4603 + 14.2159I 0
u = 0.188812 + 1.369630I
a = −0.322489 − 0.164581I
b = −0.265103 + 0.326133I
5.31637 − 2.44648I 0
u = 0.188812 − 1.369630I
a = −0.322489 + 0.164581I
b = −0.265103 − 0.326133I
5.31637 + 2.44648I 0
u = 0.605825 + 0.091505I
a = 0.124507 − 0.147158I
b = 0.753377 − 0.425311I
−0.553879 + 0.079056I 0
u = 0.605825 − 0.091505I
a = 0.124507 + 0.147158I
b = 0.753377 + 0.425311I
−0.553879 − 0.079056I 0
u = −0.382526 + 1.337370I
a = −0.612076 − 1.178220I
b = 0.356663 + 1.035790I
7.62311 + 8.50302I 0
u = −0.382526 − 1.337370I
a = −0.612076 + 1.178220I
b = 0.356663 − 1.035790I
7.62311 − 8.50302I 0
u = −0.438648 + 1.326450I
a = −0.209389 − 1.183600I
b = 0.262242 + 0.722065I
0.44163 + 7.26276I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.438648 − 1.326450I
a = −0.209389 + 1.183600I
b = 0.262242 − 0.722065I
0.44163 − 7.26276I 0
u = 0.430231 + 1.331920I
a = 0.440495 − 0.717057I
b = −0.435848 + 0.783829I
4.32371 − 6.04169I 0
u = 0.430231 − 1.331920I
a = 0.440495 + 0.717057I
b = −0.435848 − 0.783829I
4.32371 + 6.04169I 0
u = 0.557172 + 1.288270I
a = −0.119401 + 1.170320I
b = −1.195440 − 0.475464I
3.02195 − 7.74405I 0
u = 0.557172 − 1.288270I
a = −0.119401 − 1.170320I
b = −1.195440 + 0.475464I
3.02195 + 7.74405I 0
u = 0.549121 + 1.293100I
a = −0.06567 + 1.41583I
b = −1.031520 − 0.641589I
3.47007 − 4.45958I 0
u = 0.549121 − 1.293100I
a = −0.06567 − 1.41583I
b = −1.031520 + 0.641589I
3.47007 + 4.45958I 0
u = −0.478174 + 1.324900I
a = −0.11537 − 1.93130I
b = −1.121580 + 0.747231I
3.05324 + 8.91932I 0
u = −0.478174 − 1.324900I
a = −0.11537 + 1.93130I
b = −1.121580 − 0.747231I
3.05324 − 8.91932I 0
u = −0.63619 + 1.28800I
a = −0.29405 − 1.41570I
b = −1.113000 + 0.614765I
2.29613 + 11.33520I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63619 − 1.28800I
a = −0.29405 + 1.41570I
b = −1.113000 − 0.614765I
2.29613 − 11.33520I 0
u = −0.45382 + 1.36999I
a = 0.134242 + 1.330560I
b = 1.085190 − 0.397677I
0.20935 + 4.44066I 0
u = −0.45382 − 1.36999I
a = 0.134242 − 1.330560I
b = 1.085190 + 0.397677I
0.20935 − 4.44066I 0
u = −0.77646 + 1.21944I
a = 1.08749 + 1.80717I
b = −0.69141 − 1.69192I
3.76836 + 3.52679I 0
u = −0.77646 − 1.21944I
a = 1.08749 − 1.80717I
b = −0.69141 + 1.69192I
3.76836 − 3.52679I 0
u = 0.51677 + 1.37154I
a = −0.01638 − 1.67661I
b = 1.217530 + 0.653404I
4.9333 − 14.5735I 0
u = 0.51677 − 1.37154I
a = −0.01638 + 1.67661I
b = 1.217530 − 0.653404I
4.9333 + 14.5735I 0
u = −0.77527 + 1.25884I
a = 0.529789 + 1.154660I
b = 0.740856 − 0.481396I
5.21622 + 1.65303I 0
u = −0.77527 − 1.25884I
a = 0.529789 − 1.154660I
b = 0.740856 + 0.481396I
5.21622 − 1.65303I 0
u = −0.50719 + 1.39553I
a = 1.062650 + 0.666083I
b = −0.993404 − 0.795221I
2.66353 + 2.36063I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.50719 − 1.39553I
a = 1.062650 − 0.666083I
b = −0.993404 + 0.795221I
2.66353 − 2.36063I 0
u = −0.73462 + 1.31535I
a = 0.134160 − 1.173340I
b = −1.152840 + 0.572715I
2.15635 + 7.06656I 0
u = −0.73462 − 1.31535I
a = 0.134160 + 1.173340I
b = −1.152840 − 0.572715I
2.15635 − 7.06656I 0
u = −0.61050 + 1.38896I
a = −0.14579 + 1.71431I
b = 1.27738 − 0.75434I
0.7935 + 21.3109I 0
u = −0.61050 − 1.38896I
a = −0.14579 − 1.71431I
b = 1.27738 + 0.75434I
0.7935 − 21.3109I 0
u = 0.48090 + 1.44743I
a = 1.33469 − 1.26005I
b = −0.97058 + 1.16825I
4.17391 − 2.19443I 0
u = 0.48090 − 1.44743I
a = 1.33469 + 1.26005I
b = −0.97058 − 1.16825I
4.17391 + 2.19443I 0
u = 0.63565 + 1.39901I
a = 0.33100 + 1.80319I
b = −1.33485 − 0.84417I
1.23447 − 11.94710I 0
u = 0.63565 − 1.39901I
a = 0.33100 − 1.80319I
b = −1.33485 + 0.84417I
1.23447 + 11.94710I 0
u = 0.12635 + 1.53423I
a = −0.587208 + 0.575000I
b = 0.663266 − 0.176713I
2.07488 − 1.65689I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.12635 − 1.53423I
a = −0.587208 − 0.575000I
b = 0.663266 + 0.176713I
2.07488 + 1.65689I 0
u = 0.449093
a = 0.317775
b = 0.477819
−0.784793 −8.00000
u = −0.407111 + 0.157585I
a = 1.79492 + 0.14168I
b = −0.228962 + 0.627889I
3.21362 + 0.35503I 0
u = −0.407111 − 0.157585I
a = 1.79492 − 0.14168I
b = −0.228962 − 0.627889I
3.21362 − 0.35503I 0
u = 0.28515 + 1.56266I
a = 1.258510 + 0.030088I
b = −1.159630 + 0.247070I
3.71612 − 1.06820I 0
u = 0.28515 − 1.56266I
a = 1.258510 − 0.030088I
b = −1.159630 − 0.247070I
3.71612 + 1.06820I 0
u = −1.58896 + 0.00880I
a = −0.635848 + 0.550164I
b = −0.764635 − 0.277252I
−5.28796 + 1.56106I 0
u = −1.58896 − 0.00880I
a = −0.635848 − 0.550164I
b = −0.764635 + 0.277252I
−5.28796 − 1.56106I 0
u = 0.66855 + 1.45894I
a = −0.114956 − 1.388790I
b = 1.147640 + 0.558529I
−2.09669 − 12.19230I 0
u = 0.66855 − 1.45894I
a = −0.114956 + 1.388790I
b = 1.147640 − 0.558529I
−2.09669 + 12.19230I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.27120 + 1.58518I
a = 0.488337 − 0.072664I
b = −0.621728 − 0.052130I
6.22015 + 5.10650I 0
u = −0.27120 − 1.58518I
a = 0.488337 + 0.072664I
b = −0.621728 + 0.052130I
6.22015 − 5.10650I 0
u = 0.57502 + 1.51305I
a = −0.454346 + 0.526607I
b = 0.899774 − 0.523863I
4.70702 + 2.48688I 0
u = 0.57502 − 1.51305I
a = −0.454346 − 0.526607I
b = 0.899774 + 0.523863I
4.70702 − 2.48688I 0
u = −0.149244 + 0.331556I
a = 0.82803 − 2.32156I
b = −1.177360 − 0.250546I
−3.28766 − 4.15973I −8.00000 + 11.08703I
u = −0.149244 − 0.331556I
a = 0.82803 + 2.32156I
b = −1.177360 + 0.250546I
−3.28766 + 4.15973I −8.00000 − 11.08703I
u = 1.63863 + 0.34515I
a = −0.104349 − 0.431639I
b = −1.008870 + 0.369880I
−6.29651 + 4.37355I 0
u = 1.63863 − 0.34515I
a = −0.104349 + 0.431639I
b = −1.008870 − 0.369880I
−6.29651 − 4.37355I 0
u = −0.100642 + 0.278130I
a = 2.50424 − 0.35619I
b = −1.100500 − 0.419642I
0.84800 − 3.60935I −7.67921 + 5.51357I
u = −0.100642 − 0.278130I
a = 2.50424 + 0.35619I
b = −1.100500 + 0.419642I
0.84800 + 3.60935I −7.67921 − 5.51357I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.263071 + 0.107473I
a = 1.02619 + 1.60838I
b = −1.30744 + 0.56713I
−4.15603 + 9.18736I −12.80076 − 3.67016I
u = 0.263071 − 0.107473I
a = 1.02619 − 1.60838I
b = −1.30744 − 0.56713I
−4.15603 − 9.18736I −12.80076 + 3.67016I
u = −0.41001 + 1.66736I
a = −0.761819 − 0.419712I
b = 1.020410 + 0.455031I
2.38576 − 8.10255I 0
u = −0.41001 − 1.66736I
a = −0.761819 + 0.419712I
b = 1.020410 − 0.455031I
2.38576 + 8.10255I 0
24
II.
I
u
2
= h−2.00×10
82
u
57
+5.16×10
81
u
56
+· · ·+1.43×10
82
b−1.65×10
82
, 1.86×
10
82
u
57
+5.01×10
80
u
56
+· · ·+1.43×10
82
a−3.53×10
82
, u
58
+18u
56
+· · ·+u+1i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
2
=
u
u
3
+ u
a
12
=
−1.29937u
57
− 0.0349479u
56
+ ··· + 0.438895u + 2.46387
1.39365u
57
− 0.359873u
56
+ ··· + 1.56259u + 1.15184
a
11
=
0.0942751u
57
− 0.394821u
56
+ ··· + 2.00149u + 3.61571
1.39365u
57
− 0.359873u
56
+ ··· + 1.56259u + 1.15184
a
7
=
−0.929388u
57
− 0.195163u
56
+ ··· − 3.61244u − 4.11910
−0.730441u
57
+ 2.64211u
56
+ ··· + 1.14011u + 1.58347
a
4
=
1.08717u
57
+ 0.336636u
56
+ ··· − 8.87033u + 2.29844
−0.156381u
57
− 0.189913u
56
+ ··· − 2.38914u + 0.543370
a
1
=
0.203168u
57
− 0.178049u
56
+ ··· + 14.8110u − 0.504967
0.614975u
57
− 0.397352u
56
+ ··· + 5.72661u − 0.657238
a
6
=
−1.14133u
57
− 2.51890u
56
+ ··· − 5.91273u − 6.88539
−0.304427u
57
+ 2.20959u
56
+ ··· + 1.37550u + 1.14091
a
5
=
−1.96283u
57
− 0.167932u
56
+ ··· − 9.59502u − 4.68356
−0.328983u
57
− 0.203661u
56
+ ··· − 3.52975u − 1.65828
a
10
=
0.879717u
57
− 0.685333u
56
+ ··· + 9.08697u + 2.57355
1.21987u
57
− 0.0902141u
56
+ ··· + 5.47806u + 0.916970
(ii) Obstruction class = 1
(iii) Cusp Shapes = 9.51519u
57
+ 10.4247u
56
+ ··· + 17.6490u − 2.16765
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
58
− 8u
57
+ ··· + 60u + 19
c
2
u
58
+ 18u
56
+ ··· − u + 1
c
3
u
58
− 4u
57
+ ··· + 553u + 163
c
4
u
58
− 3u
56
+ ··· + 5u + 1
c
5
u
58
+ 23u
56
+ ··· − 30u + 13
c
6
u
58
+ 4u
56
+ ··· − 8u + 1
c
7
u
58
+ 2u
57
+ ··· + 4u + 1
c
8
u
58
+ 18u
56
+ ··· + u + 1
c
9
u
58
+ 2u
57
+ ··· + 50u + 41
c
10
u
58
− 14u
57
+ ··· − 14u
2
+ 1
c
11
u
58
− 2u
57
+ ··· − 4u + 1
c
12
u
58
+ 23u
56
+ ··· + 30u + 13
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
58
+ 12y
57
+ ··· + 5786y + 361
c
2
, c
8
y
58
+ 36y
57
+ ··· − 5y + 1
c
3
y
58
+ 22y
57
+ ··· + 345539y + 26569
c
4
y
58
− 6y
57
+ ··· + 11y + 1
c
5
, c
12
y
58
+ 46y
57
+ ··· + 8746y + 169
c
6
y
58
+ 8y
57
+ ··· + 48y + 1
c
7
, c
11
y
58
− 30y
57
+ ··· − 56y + 1
c
9
y
58
+ 26y
57
+ ··· + 6766y + 1681
c
10
y
58
− 8y
57
+ ··· − 28y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.160991 + 0.981521I
a = 0.32154 + 1.53380I
b = −1.27727 − 0.68595I
1.99090 − 4.68568I −6.90002 + 8.84433I
u = 0.160991 − 0.981521I
a = 0.32154 − 1.53380I
b = −1.27727 + 0.68595I
1.99090 + 4.68568I −6.90002 − 8.84433I
u = 0.279104 + 0.996557I
a = −0.08789 + 3.46303I
b = −0.531138 − 0.160497I
1.97676 − 7.64882I −8.0000 + 13.8446I
u = 0.279104 − 0.996557I
a = −0.08789 − 3.46303I
b = −0.531138 + 0.160497I
1.97676 + 7.64882I −8.0000 − 13.8446I
u = −0.115122 + 0.949685I
a = −0.691863 − 0.922290I
b = 1.46283 + 0.58842I
−0.32269 + 3.80178I −3.1071 − 16.1369I
u = −0.115122 − 0.949685I
a = −0.691863 + 0.922290I
b = 1.46283 − 0.58842I
−0.32269 − 3.80178I −3.1071 + 16.1369I
u = 1.056350 + 0.227694I
a = 0.520503 − 0.047973I
b = 0.709986 − 0.281280I
0.318614 − 0.338766I 0
u = 1.056350 − 0.227694I
a = 0.520503 + 0.047973I
b = 0.709986 + 0.281280I
0.318614 + 0.338766I 0
u = −0.101101 + 0.906113I
a = 1.02111 − 1.75628I
b = −0.98719 + 1.12468I
−0.53139 − 2.68565I −9.79613 + 7.93845I
u = −0.101101 − 0.906113I
a = 1.02111 + 1.75628I
b = −0.98719 − 1.12468I
−0.53139 + 2.68565I −9.79613 − 7.93845I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.277876 + 1.076230I
a = −0.42515 + 1.50324I
b = −0.126115 − 0.964713I
5.99197 + 1.18388I 0
u = −0.277876 − 1.076230I
a = −0.42515 − 1.50324I
b = −0.126115 + 0.964713I
5.99197 − 1.18388I 0
u = −0.189702 + 0.772788I
a = −0.701013 − 1.198750I
b = −1.302520 + 0.544179I
−3.26117 + 9.57971I −4.86407 − 6.16517I
u = −0.189702 − 0.772788I
a = −0.701013 + 1.198750I
b = −1.302520 − 0.544179I
−3.26117 − 9.57971I −4.86407 + 6.16517I
u = −1.211090 + 0.075715I
a = 0.182344 − 0.750990I
b = 1.038050 + 0.740618I
−1.88527 − 4.39440I 0
u = −1.211090 − 0.075715I
a = 0.182344 + 0.750990I
b = 1.038050 − 0.740618I
−1.88527 + 4.39440I 0
u = 0.297866 + 1.178480I
a = −0.15561 + 1.45751I
b = −1.300960 − 0.407324I
−1.38557 − 6.78056I 0
u = 0.297866 − 1.178480I
a = −0.15561 − 1.45751I
b = −1.300960 + 0.407324I
−1.38557 + 6.78056I 0
u = −0.365349 + 1.184620I
a = −0.01214 + 1.99878I
b = 0.727120 − 0.300268I
4.20475 + 1.08391I 0
u = −0.365349 − 1.184620I
a = −0.01214 − 1.99878I
b = 0.727120 + 0.300268I
4.20475 − 1.08391I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.253566 + 1.214290I
a = 0.603849 − 1.199580I
b = −0.694543 − 0.162374I
4.70007 + 2.02741I 0
u = −0.253566 − 1.214290I
a = 0.603849 + 1.199580I
b = −0.694543 + 0.162374I
4.70007 − 2.02741I 0
u = 0.187340 + 1.280320I
a = 0.07097 − 1.57313I
b = 0.480118 − 0.001339I
3.11624 + 5.27714I 0
u = 0.187340 − 1.280320I
a = 0.07097 + 1.57313I
b = 0.480118 + 0.001339I
3.11624 − 5.27714I 0
u = −0.274930 + 1.274350I
a = 0.59608 + 1.30510I
b = −0.282985 − 1.044190I
3.40441 + 1.84168I 0
u = −0.274930 − 1.274350I
a = 0.59608 − 1.30510I
b = −0.282985 + 1.044190I
3.40441 − 1.84168I 0
u = 0.140861 + 1.313560I
a = −1.29274 − 1.41320I
b = 1.065040 + 0.473520I
−0.44357 − 9.05534I 0
u = 0.140861 − 1.313560I
a = −1.29274 + 1.41320I
b = 1.065040 − 0.473520I
−0.44357 + 9.05534I 0
u = 0.086845 + 1.320950I
a = −0.608022 + 0.895442I
b = 0.810855 − 0.601779I
3.23400 + 2.97655I 0
u = 0.086845 − 1.320950I
a = −0.608022 − 0.895442I
b = 0.810855 + 0.601779I
3.23400 − 2.97655I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.188329 + 1.344460I
a = 1.42517 − 0.39782I
b = −0.620527 + 0.041913I
2.30768 + 5.12989I 0
u = −0.188329 − 1.344460I
a = 1.42517 + 0.39782I
b = −0.620527 − 0.041913I
2.30768 − 5.12989I 0
u = 0.580255 + 1.243570I
a = −0.237212 + 1.228960I
b = −1.000220 − 0.552842I
3.53560 − 5.28879I 0
u = 0.580255 − 1.243570I
a = −0.237212 − 1.228960I
b = −1.000220 + 0.552842I
3.53560 + 5.28879I 0
u = 0.510492 + 0.352307I
a = 0.631955 − 1.224320I
b = 1.153200 − 0.298375I
−3.96525 + 3.53674I −12.12534 − 5.11230I
u = 0.510492 − 0.352307I
a = 0.631955 + 1.224320I
b = 1.153200 + 0.298375I
−3.96525 − 3.53674I −12.12534 + 5.11230I
u = 0.586436 + 0.093310I
a = 1.194810 − 0.540485I
b = 1.159360 + 0.515998I
−3.86470 − 3.69854I −11.43705 + 4.20558I
u = 0.586436 − 0.093310I
a = 1.194810 + 0.540485I
b = 1.159360 − 0.515998I
−3.86470 + 3.69854I −11.43705 − 4.20558I
u = 0.69284 + 1.25691I
a = 1.08611 − 1.62070I
b = −0.74589 + 1.53466I
3.79295 − 3.30390I 0
u = 0.69284 − 1.25691I
a = 1.08611 + 1.62070I
b = −0.74589 − 1.53466I
3.79295 + 3.30390I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44057 + 0.20380I
a = −0.128484 − 0.472223I
b = −1.047220 + 0.324650I
−6.55061 + 4.10715I 0
u = 1.44057 − 0.20380I
a = −0.128484 + 0.472223I
b = −1.047220 − 0.324650I
−6.55061 − 4.10715I 0
u = −0.60639 + 1.32540I
a = −0.13514 − 1.64544I
b = −1.134500 + 0.711805I
1.94304 + 10.53520I 0
u = −0.60639 − 1.32540I
a = −0.13514 + 1.64544I
b = −1.134500 − 0.711805I
1.94304 − 10.53520I 0
u = −0.508016 + 0.178566I
a = 2.36180 − 0.53424I
b = 0.666249 + 0.602746I
−2.23361 − 4.89166I −14.4044 + 7.0269I
u = −0.508016 − 0.178566I
a = 2.36180 + 0.53424I
b = 0.666249 − 0.602746I
−2.23361 + 4.89166I −14.4044 − 7.0269I
u = −0.483530 + 0.076452I
a = −0.01558 − 1.63673I
b = 0.875046 − 0.015390I
−2.14391 − 2.61842I −8.40568 + 1.85193I
u = −0.483530 − 0.076452I
a = −0.01558 + 1.63673I
b = 0.875046 + 0.015390I
−2.14391 + 2.61842I −8.40568 − 1.85193I
u = −1.50975 + 0.04960I
a = −0.683162 − 0.627250I
b = −0.761022 + 0.245417I
−5.38728 − 1.64613I 0
u = −1.50975 − 0.04960I
a = −0.683162 + 0.627250I
b = −0.761022 − 0.245417I
−5.38728 + 1.64613I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.26887 + 1.53422I
a = 0.0478237 + 0.0230823I
b = −0.361749 + 0.072045I
6.54164 − 5.14931I 0
u = 0.26887 − 1.53422I
a = 0.0478237 − 0.0230823I
b = −0.361749 − 0.072045I
6.54164 + 5.14931I 0
u = −0.29699 + 1.53560I
a = 1.226250 + 0.414049I
b = −1.065840 − 0.499477I
4.06517 + 1.46932I 0
u = −0.29699 − 1.53560I
a = 1.226250 − 0.414049I
b = −1.065840 + 0.499477I
4.06517 − 1.46932I 0
u = 0.267533 + 0.163328I
a = 4.11297 + 0.21587I
b = 0.850265 − 0.205158I
−2.95673 − 0.89622I −17.6692 + 1.6372I
u = 0.267533 − 0.163328I
a = 4.11297 − 0.21587I
b = 0.850265 + 0.205158I
−2.95673 + 0.89622I −17.6692 − 1.6372I
u = −0.174611 + 0.211483I
a = 2.77073 + 0.02141I
b = 1.241550 + 0.419718I
−4.67751 + 0.42989I −16.8873 − 1.3101I
u = −0.174611 − 0.211483I
a = 2.77073 − 0.02141I
b = 1.241550 − 0.419718I
−4.67751 − 0.42989I −16.8873 + 1.3101I
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
58
− 8u
57
+ ··· + 60u + 19)
· (u
194
− 11u
193
+ ··· − 62880330u + 4090161)
c
2
(u
58
+ 18u
56
+ ··· − u + 1)(u
194
− u
193
+ ··· + 1651839u − 790939)
c
3
(u
58
− 4u
57
+ ··· + 553u + 163)
· (u
194
+ 11u
193
+ ··· + 408965120u + 61030400)
c
4
(u
58
− 3u
56
+ ··· + 5u + 1)(u
194
− u
193
+ ··· + 56u − 8)
c
5
(u
58
+ 23u
56
+ ··· − 30u + 13)
· (u
194
− 3u
193
+ ··· + 190059624u + 9025047)
c
6
(u
58
+ 4u
56
+ ··· − 8u + 1)
· (u
194
− 3u
193
+ ··· + 40202554u + 2009017)
c
7
(u
58
+ 2u
57
+ ··· + 4u + 1)(u
194
− u
193
+ ··· + 455874u − 98619)
c
8
(u
58
+ 18u
56
+ ··· + u + 1)(u
194
− u
193
+ ··· + 1651839u − 790939)
c
9
(u
58
+ 2u
57
+ ··· + 50u + 41)
· (u
194
+ 7u
193
+ ··· + 1253802198507u − 145931161770)
c
10
(u
58
− 14u
57
+ ··· − 14u
2
+ 1)(u
194
− u
193
+ ··· − 285u + 44)
c
11
(u
58
− 2u
57
+ ··· − 4u + 1)(u
194
− u
193
+ ··· + 455874u − 98619)
c
12
(u
58
+ 23u
56
+ ··· + 30u + 13)
· (u
194
− 3u
193
+ ··· + 190059624u + 9025047)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
58
+ 12y
57
+ ··· + 5786y + 361)
· (y
194
+ 53y
193
+ ··· + 717183428110710y + 16729417005921)
c
2
, c
8
(y
58
+ 36y
57
+ ··· − 5y + 1)
· (y
194
+ 125y
193
+ ··· + 20930327480459y + 625584501721)
c
3
(y
58
+ 22y
57
+ ··· + 345539y + 26569)
· (y
194
+ 43y
193
+ ··· − 127849415154073600y + 3724709724160000)
c
4
(y
58
− 6y
57
+ ··· + 11y + 1)(y
194
− 13y
193
+ ··· + 1440y + 64)
c
5
, c
12
(y
58
+ 46y
57
+ ··· + 8746y + 169)
· (y
194
+ 131y
193
+ ··· − 965532633072174y + 81451473352209)
c
6
(y
58
+ 8y
57
+ ··· + 48y + 1)
· (y
194
+ 49y
193
+ ··· + 7208004183428y + 4036149306289)
c
7
, c
11
(y
58
− 30y
57
+ ··· − 56y + 1)
· (y
194
− 97y
193
+ ··· − 576170958396y + 9725707161)
c
9
(y
58
+ 26y
57
+ ··· + 6766y + 1681)
· (y
194
+ 71y
193
+ ··· + 1.21 × 10
24
y + 2.13 × 10
22
)
c
10
(y
58
− 8y
57
+ ··· − 28y + 1)(y
194
− 23y
193
+ ··· − 1116017y + 1936)
37
