12a
0703
(K12a
0703
)
A knot diagram
1
Linearized knot diagam
3 8 6 10 1 12 11 2 7 5 9 4
Solving Sequence
4,10 1,5
6 11 3 2 12 7 9 8
c
4
c
5
c
10
c
3
c
1
c
12
c
6
c
9
c
8
c
2
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.77114 × 10
184
u
73
− 8.17972 × 10
184
u
72
+ ··· + 7.24276 × 10
185
b − 3.00731 × 10
186
,
− 3.90392 × 10
186
u
73
− 9.58129 × 10
186
u
72
+ ··· + 3.62138 × 10
187
a − 3.12806 × 10
188
,
u
74
+ 3u
73
+ ··· + 214u + 50i
I
u
2
= h−6.87356 × 10
82
au
57
− 2.10436 × 10
82
u
57
+ ··· − 1.52294 × 10
83
a − 7.99339 × 10
82
,
− 1.82997 × 10
84
au
57
+ 1.85456 × 10
84
u
57
+ ··· − 4.71969 × 10
84
a + 5.09846 × 10
84
, u
58
+ u
57
+ ··· + 2u − 1i
I
u
3
= h−49666687602u
43
+ 10507987432u
42
+ ··· + 285299162b − 67652116994,
− 787579015337u
43
− 483419689064u
42
+ ··· + 570598324a + 6927290387672,
u
44
− 23u
42
+ ··· − 102u
2
+ 4i
I
v
1
= ha, b − 1, v + 1i
* 4 irreducible components of dim
C
= 0, with total 235 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−2.77 × 10
184
u
73
− 8.18 × 10
184
u
72
+ · · · + 7.24 × 10
185
b − 3.01 ×
10
186
, −3.90 × 10
186
u
73
− 9.58 × 10
186
u
72
+ · · · + 3.62 × 10
187
a − 3.13 ×
10
188
, u
74
+ 3u
73
+ · · · + 214u + 50i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
1
=
0.107802u
73
+ 0.264576u
72
+ ··· + 24.2519u + 8.63775
0.0382609u
73
+ 0.112937u
72
+ ··· + 12.7924u + 4.15217
a
5
=
1
u
2
a
6
=
−0.0174281u
73
+ 0.0100093u
72
+ ··· + 5.03284u + 4.77196
0.0332921u
73
+ 0.0750533u
72
+ ··· + 6.06430u + 2.23615
a
11
=
−u
−u
3
+ u
a
3
=
0.0978843u
73
+ 0.202898u
72
+ ··· + 16.0050u + 4.42091
−0.0116068u
73
− 0.0547438u
72
+ ··· − 6.38601u − 2.84452
a
2
=
−0.0552379u
73
− 0.170989u
72
+ ··· − 21.5165u − 7.21064
0.0266858u
73
+ 0.0963030u
72
+ ··· + 9.95127u + 3.43602
a
12
=
0.0695411u
73
+ 0.151639u
72
+ ··· + 11.4595u + 4.48558
0.0382609u
73
+ 0.112937u
72
+ ··· + 12.7924u + 4.15217
a
7
=
−0.0830434u
73
− 0.210869u
72
+ ··· − 20.1108u − 4.97888
0.0569840u
73
+ 0.120041u
72
+ ··· + 10.3962u + 3.47705
a
9
=
0.114207u
73
+ 0.198009u
72
+ ··· + 8.85708u + 1.31279
−0.0212613u
73
+ 0.00813017u
72
+ ··· + 4.74494u + 2.41140
a
8
=
−0.0897966u
73
− 0.235013u
72
+ ··· − 22.2995u − 5.77312
0.0766086u
73
+ 0.164871u
72
+ ··· + 13.7536u + 4.46546
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.347145u
73
− 0.680756u
72
+ ··· − 47.9021u − 9.04265
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
74
+ 27u
73
+ ··· + 5620u + 676
c
2
, c
8
u
74
+ 3u
73
+ ··· + 198u + 26
c
3
, c
11
u
74
+ u
73
+ ··· − 4u + 1
c
4
, c
10
u
74
− 3u
73
+ ··· − 214u + 50
c
5
, c
7
u
74
− u
73
+ ··· − 16u + 1
c
6
u
74
− 3u
73
+ ··· − 71216u + 11944
c
9
, c
12
u
74
+ 5u
73
+ ··· + 2u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
74
+ 27y
73
+ ··· + 8851216y + 456976
c
2
, c
8
y
74
+ 27y
73
+ ··· + 5620y + 676
c
3
, c
11
y
74
− 13y
73
+ ··· − 4y + 1
c
4
, c
10
y
74
− 29y
73
+ ··· + 11604y + 2500
c
5
, c
7
y
74
+ y
73
+ ··· − 84y + 1
c
6
y
74
− y
73
+ ··· + 999177664y + 142659136
c
9
, c
12
y
74
+ 17y
73
+ ··· + 38y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.909614 + 0.396950I
a = −1.31457 + 0.85012I
b = −0.38186 + 1.47154I
0.22853 − 2.72746I 0. + 8.02021I
u = −0.909614 − 0.396950I
a = −1.31457 − 0.85012I
b = −0.38186 − 1.47154I
0.22853 + 2.72746I 0. − 8.02021I
u = −0.914825 + 0.342039I
a = 0.57785 + 2.25113I
b = 1.97680 + 0.53701I
−3.78901 + 1.40165I −16.4410 − 0.7863I
u = −0.914825 − 0.342039I
a = 0.57785 − 2.25113I
b = 1.97680 − 0.53701I
−3.78901 − 1.40165I −16.4410 + 0.7863I
u = −0.156031 + 0.945245I
a = −0.313085 + 0.209961I
b = 0.996616 − 0.878583I
−1.52890 − 7.84005I 1.78951 + 8.16900I
u = −0.156031 − 0.945245I
a = −0.313085 − 0.209961I
b = 0.996616 + 0.878583I
−1.52890 + 7.84005I 1.78951 − 8.16900I
u = 0.839218 + 0.444879I
a = −0.548436 − 0.741129I
b = 0.622338 − 0.358532I
−1.15865 − 1.75347I 0.42379 + 2.04993I
u = 0.839218 − 0.444879I
a = −0.548436 + 0.741129I
b = 0.622338 + 0.358532I
−1.15865 + 1.75347I 0.42379 − 2.04993I
u = 1.044270 + 0.363592I
a = −0.73827 − 1.76439I
b = 0.667890 − 1.080670I
−1.411110 − 0.014479I 0
u = 1.044270 − 0.363592I
a = −0.73827 + 1.76439I
b = 0.667890 + 1.080670I
−1.411110 + 0.014479I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.860878 + 0.727657I
a = −0.618550 − 0.759462I
b = 0.600060 − 0.732713I
−0.84983 − 1.69851I 0
u = 0.860878 − 0.727657I
a = −0.618550 + 0.759462I
b = 0.600060 + 0.732713I
−0.84983 + 1.69851I 0
u = 1.072970 + 0.375190I
a = −0.854523 − 0.536536I
b = 0.297599 − 0.246377I
−0.86822 − 1.28553I 0
u = 1.072970 − 0.375190I
a = −0.854523 + 0.536536I
b = 0.297599 + 0.246377I
−0.86822 + 1.28553I 0
u = −1.012580 + 0.530794I
a = 1.06495 − 1.30603I
b = −0.129319 − 1.382060I
−0.42776 + 6.41562I 0
u = −1.012580 − 0.530794I
a = 1.06495 + 1.30603I
b = −0.129319 + 1.382060I
−0.42776 − 6.41562I 0
u = −1.057450 + 0.447518I
a = −0.03575 − 2.02403I
b = −0.334913 − 0.958480I
−0.65318 + 5.68113I 0
u = −1.057450 − 0.447518I
a = −0.03575 + 2.02403I
b = −0.334913 + 0.958480I
−0.65318 − 5.68113I 0
u = −0.836971 + 0.102898I
a = 0.83457 − 1.80288I
b = −0.812591 − 0.770221I
0.46152 + 4.69310I 4.12938 − 8.24884I
u = −0.836971 − 0.102898I
a = 0.83457 + 1.80288I
b = −0.812591 + 0.770221I
0.46152 − 4.69310I 4.12938 + 8.24884I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.016940 + 1.158480I
a = −0.066432 − 0.683445I
b = −0.028731 + 0.330331I
5.48738 − 2.71261I 0
u = 0.016940 − 1.158480I
a = −0.066432 + 0.683445I
b = −0.028731 − 0.330331I
5.48738 + 2.71261I 0
u = 1.025760 + 0.541737I
a = 0.41059 + 2.11387I
b = −1.52964 + 1.41048I
1.48385 − 8.36167I 0
u = 1.025760 − 0.541737I
a = 0.41059 − 2.11387I
b = −1.52964 − 1.41048I
1.48385 + 8.36167I 0
u = 1.085750 + 0.485137I
a = −0.08294 − 2.07700I
b = 0.349227 − 0.934147I
−1.60589 − 11.15020I 0
u = 1.085750 − 0.485137I
a = −0.08294 + 2.07700I
b = 0.349227 + 0.934147I
−1.60589 + 11.15020I 0
u = −1.066850 + 0.539758I
a = 0.893161 − 0.801409I
b = −0.159467 − 0.448777I
−5.45308 + 1.99266I 0
u = −1.066850 − 0.539758I
a = 0.893161 + 0.801409I
b = −0.159467 + 0.448777I
−5.45308 − 1.99266I 0
u = 0.533812 + 0.595532I
a = −0.507118 + 1.037650I
b = −1.34739 − 0.86281I
2.95358 + 3.82344I 8.69107 − 9.53262I
u = 0.533812 − 0.595532I
a = −0.507118 − 1.037650I
b = −1.34739 + 0.86281I
2.95358 − 3.82344I 8.69107 + 9.53262I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.308390 + 0.731898I
a = −0.364711 − 0.092810I
b = −0.421888 + 0.506910I
1.14192 − 0.87156I 5.34852 + 4.41242I
u = −0.308390 − 0.731898I
a = −0.364711 + 0.092810I
b = −0.421888 − 0.506910I
1.14192 + 0.87156I 5.34852 − 4.41242I
u = 1.020790 + 0.657917I
a = 0.833528 + 0.270019I
b = 0.626919 + 1.126860I
−1.53010 − 3.80254I 0
u = 1.020790 − 0.657917I
a = 0.833528 − 0.270019I
b = 0.626919 − 1.126860I
−1.53010 + 3.80254I 0
u = −1.148110 + 0.431399I
a = 0.977559 − 0.597525I
b = −0.206503 − 0.254163I
−1.89189 − 3.73040I 0
u = −1.148110 − 0.431399I
a = 0.977559 + 0.597525I
b = −0.206503 + 0.254163I
−1.89189 + 3.73040I 0
u = −0.238711 + 1.208710I
a = −0.202115 − 0.121447I
b = −0.187999 + 0.669054I
1.36765 − 0.67560I 0
u = −0.238711 − 1.208710I
a = −0.202115 + 0.121447I
b = −0.187999 − 0.669054I
1.36765 + 0.67560I 0
u = 1.154100 + 0.436756I
a = −0.29573 − 1.81016I
b = 0.420473 − 0.969989I
−5.95591 − 5.60935I 0
u = 1.154100 − 0.436756I
a = −0.29573 + 1.81016I
b = 0.420473 + 0.969989I
−5.95591 + 5.60935I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.471889 + 1.146720I
a = −0.0814819 + 0.0066989I
b = −1.00813 − 0.99688I
6.01642 + 8.62957I 0
u = 0.471889 − 1.146720I
a = −0.0814819 − 0.0066989I
b = −1.00813 + 0.99688I
6.01642 − 8.62957I 0
u = −1.244920 + 0.264711I
a = −0.190377 − 1.363030I
b = −0.384430 − 1.068030I
−2.92533 + 4.99049I 0
u = −1.244920 − 0.264711I
a = −0.190377 + 1.363030I
b = −0.384430 + 1.068030I
−2.92533 − 4.99049I 0
u = −0.431800 + 1.236090I
a = 0.0261358 − 0.0618161I
b = 0.984830 − 0.995193I
4.6749 − 14.7050I 0
u = −0.431800 − 1.236090I
a = 0.0261358 + 0.0618161I
b = 0.984830 + 0.995193I
4.6749 + 14.7050I 0
u = −0.629169 + 0.236880I
a = 0.65931 + 2.02972I
b = −0.748058 + 0.680934I
1.11590 − 2.39492I 3.38619 + 4.33941I
u = −0.629169 − 0.236880I
a = 0.65931 − 2.02972I
b = −0.748058 − 0.680934I
1.11590 + 2.39492I 3.38619 − 4.33941I
u = −1.201760 + 0.569657I
a = −0.24781 + 1.72565I
b = 1.31232 + 1.15494I
−4.61734 + 13.19020I 0
u = −1.201760 − 0.569657I
a = −0.24781 − 1.72565I
b = 1.31232 − 1.15494I
−4.61734 − 13.19020I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.119050 + 0.725619I
a = 0.478422 − 0.920331I
b = −0.470840 − 0.896553I
−1.02125 + 6.53391I 0
u = −1.119050 − 0.725619I
a = 0.478422 + 0.920331I
b = −0.470840 + 0.896553I
−1.02125 − 6.53391I 0
u = −0.469402 + 0.468395I
a = 1.43700 − 0.99968I
b = 0.629288 + 0.085931I
0.51998 + 7.85032I 2.36500 − 7.37361I
u = −0.469402 − 0.468395I
a = 1.43700 + 0.99968I
b = 0.629288 − 0.085931I
0.51998 − 7.85032I 2.36500 + 7.37361I
u = 0.208263 + 0.596482I
a = −1.285370 − 0.342537I
b = −0.512967 + 0.281947I
1.97475 − 2.48823I 5.74600 + 3.53308I
u = 0.208263 − 0.596482I
a = −1.285370 + 0.342537I
b = −0.512967 − 0.281947I
1.97475 + 2.48823I 5.74600 − 3.53308I
u = 0.463250 + 0.386578I
a = −0.27743 + 2.01381I
b = 0.712206 + 0.654034I
0.41291 + 7.22676I 2.21127 − 10.05995I
u = 0.463250 − 0.386578I
a = −0.27743 − 2.01381I
b = 0.712206 − 0.654034I
0.41291 − 7.22676I 2.21127 + 10.05995I
u = 0.095915 + 0.580931I
a = 0.225917 + 0.767444I
b = 0.488108 + 0.617790I
−2.97292 + 1.62134I −2.53607 − 4.07358I
u = 0.095915 − 0.580931I
a = 0.225917 − 0.767444I
b = 0.488108 − 0.617790I
−2.97292 − 1.62134I −2.53607 + 4.07358I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.22021 + 0.72285I
a = 0.38795 + 1.58435I
b = −1.18281 + 1.18650I
3.5916 − 15.2618I 0
u = 1.22021 − 0.72285I
a = 0.38795 − 1.58435I
b = −1.18281 − 1.18650I
3.5916 + 15.2618I 0
u = 1.41967 + 0.19256I
a = 0.493968 + 0.886865I
b = 0.420556 + 1.156770I
−7.02583 + 3.28946I 0
u = 1.41967 − 0.19256I
a = 0.493968 − 0.886865I
b = 0.420556 − 1.156770I
−7.02583 − 3.28946I 0
u = −1.27001 + 0.73550I
a = −0.35927 + 1.54105I
b = 1.17202 + 1.15521I
1.9496 + 21.6262I 0
u = −1.27001 − 0.73550I
a = −0.35927 − 1.54105I
b = 1.17202 − 1.15521I
1.9496 − 21.6262I 0
u = −1.52992 + 0.27858I
a = −0.122728 − 1.027730I
b = −0.439615 − 1.094750I
−2.64674 + 4.78715I 0
u = −1.52992 − 0.27858I
a = −0.122728 + 1.027730I
b = −0.439615 + 1.094750I
−2.64674 − 4.78715I 0
u = −0.079882 + 0.380032I
a = −0.609520 − 0.407700I
b = 0.094707 + 0.887383I
1.30410 − 2.82260I 2.38703 + 2.73836I
u = −0.079882 − 0.380032I
a = −0.609520 + 0.407700I
b = 0.094707 − 0.887383I
1.30410 + 2.82260I 2.38703 − 2.73836I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.67121 + 0.12671I
a = 0.202894 − 0.909208I
b = 0.445070 − 1.122660I
−3.83527 − 9.66068I 0
u = 1.67121 − 0.12671I
a = 0.202894 + 0.909208I
b = 0.445070 + 1.122660I
−3.83527 + 9.66068I 0
u = −0.07945 + 1.67803I
a = −0.0275868 + 0.0547943I
b = −0.029860 + 0.867336I
3.50160 + 2.46193I 0
u = −0.07945 − 1.67803I
a = −0.0275868 − 0.0547943I
b = −0.029860 − 0.867336I
3.50160 − 2.46193I 0
12
II.
I
u
2
= h−6.87×10
82
au
57
−2.10×10
82
u
57
+· · ·−1.52×10
83
a−7.99×10
82
, −1.83×
10
84
au
57
+1.85×10
84
u
57
+· · ·−4.72×10
84
a+5.10×10
84
, u
58
+u
57
+· · ·+2u−1i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
1
=
a
3.94498au
57
+ 1.20777u
57
+ ··· + 8.74070a + 4.58770
a
5
=
1
u
2
a
6
=
11.7169au
57
− 25.6973u
57
+ ··· + 34.7947a − 81.3867
−3.44910au
57
− 9.14563u
57
+ ··· − 7.51696a − 29.9963
a
11
=
−u
−u
3
+ u
a
3
=
13.0375au
57
+ 2.87073u
57
+ ··· + 32.4685a + 12.1830
0.641108au
57
+ 30.3518u
57
+ ··· − 0.00590775a + 91.5551
a
2
=
−4.61184au
57
− 1.77005u
57
+ ··· − 23.6676a + 11.0247
−2.57353au
57
+ 1.27800u
57
+ ··· − 6.67995a − 7.63184
a
12
=
−3.94498au
57
− 1.20777u
57
+ ··· − 7.74070a − 4.58770
3.94498au
57
+ 1.20777u
57
+ ··· + 8.74070a + 4.58770
a
7
=
−8.74070au
57
+ 0.283128u
57
+ ··· − 17.6876a − 7.07158
−1.39456au
57
− 35.1260u
57
+ ··· − 3.94498a − 104.311
a
9
=
7.46877au
57
− 2.82013u
57
+ ··· + 19.3491a − 9.27593
0.116447au
57
+ 5.74680u
57
+ ··· + 1.69257a + 11.6060
a
8
=
−10.1353au
57
− 3.00479u
57
+ ··· − 21.6326a − 18.7884
0.641108au
57
− 33.1069u
57
+ ··· − 0.00590775a − 94.2059
(ii) Obstruction class = −1
(iii) Cusp Shapes = −129.417u
57
− 187.821u
56
+ ··· − 119.252u − 320.679
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
58
+ 24u
57
+ ··· + 31u + 1)
2
c
2
(u
58
+ 12u
56
+ ··· + 9u − 1)
2
c
3
u
116
+ 25u
115
+ ··· − 117584u − 11337
c
4
(u
58
− u
57
+ ··· − 2u − 1)
2
c
5
− u
116
+ 24u
114
+ ··· − 91697u + 9341
c
6
(u
58
+ 19u
56
+ ··· + 2418u − 169)
2
c
7
u
116
− 24u
114
+ ··· − 91697u − 9341
c
8
(u
58
+ 12u
56
+ ··· − 9u − 1)
2
c
9
, c
12
u
116
− 11u
115
+ ··· − 10u + 3
c
10
(u
58
+ u
57
+ ··· + 2u − 1)
2
c
11
− u
116
+ 25u
115
+ ··· − 117584u + 11337
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
58
+ 28y
57
+ ··· + 99y + 1)
2
c
2
, c
8
(y
58
+ 24y
57
+ ··· + 31y + 1)
2
c
3
, c
11
y
116
− 41y
115
+ ··· − 774026392y + 128527569
c
4
, c
10
(y
58
− 43y
57
+ ··· − 36y + 1)
2
c
5
, c
7
y
116
− 48y
115
+ ··· − 2631435723y + 87254281
c
6
(y
58
+ 38y
57
+ ··· − 3832244y + 28561)
2
c
9
, c
12
y
116
− 59y
115
+ ··· + 512y + 9
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.983927 + 0.318949I
a = 1.187140 + 0.052823I
b = −0.869611 + 0.208809I
−1.89056 − 5.30668I 0
u = 0.983927 + 0.318949I
a = 0.19786 − 2.40092I
b = 0.98116 − 1.32322I
−1.89056 − 5.30668I 0
u = 0.983927 − 0.318949I
a = 1.187140 − 0.052823I
b = −0.869611 − 0.208809I
−1.89056 + 5.30668I 0
u = 0.983927 − 0.318949I
a = 0.19786 + 2.40092I
b = 0.98116 + 1.32322I
−1.89056 + 5.30668I 0
u = −0.899915 + 0.333105I
a = 1.31287 + 1.85054I
b = 2.39478 + 0.04831I
−3.75414 + 1.40682I 0
u = −0.899915 + 0.333105I
a = 0.28976 + 2.34331I
b = 1.61786 + 0.50047I
−3.75414 + 1.40682I 0
u = −0.899915 − 0.333105I
a = 1.31287 − 1.85054I
b = 2.39478 − 0.04831I
−3.75414 − 1.40682I 0
u = −0.899915 − 0.333105I
a = 0.28976 − 2.34331I
b = 1.61786 − 0.50047I
−3.75414 − 1.40682I 0
u = −0.693787 + 0.795237I
a = −0.362434 + 0.364360I
b = 0.291370 − 0.082518I
2.08753 − 1.00075I 0
u = −0.693787 + 0.795237I
a = −0.371469 − 0.038191I
b = −1.085260 + 0.841151I
2.08753 − 1.00075I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.693787 − 0.795237I
a = −0.362434 − 0.364360I
b = 0.291370 + 0.082518I
2.08753 + 1.00075I 0
u = −0.693787 − 0.795237I
a = −0.371469 + 0.038191I
b = −1.085260 − 0.841151I
2.08753 + 1.00075I 0
u = 1.017310 + 0.425731I
a = −0.10621 − 1.57310I
b = 0.85990 − 1.37105I
1.98850 − 0.32186I 0
u = 1.017310 + 0.425731I
a = 0.15740 + 2.06900I
b = −0.431304 + 0.293733I
1.98850 − 0.32186I 0
u = 1.017310 − 0.425731I
a = −0.10621 + 1.57310I
b = 0.85990 + 1.37105I
1.98850 + 0.32186I 0
u = 1.017310 − 0.425731I
a = 0.15740 − 2.06900I
b = −0.431304 − 0.293733I
1.98850 + 0.32186I 0
u = 0.666642 + 0.549919I
a = −0.557972 − 0.883757I
b = 0.916946 + 0.294173I
−1.38788 − 2.16672I 4.00000 + 5.21669I
u = 0.666642 + 0.549919I
a = 0.171191 − 0.598059I
b = 0.899500 − 0.191334I
−1.38788 − 2.16672I 4.00000 + 5.21669I
u = 0.666642 − 0.549919I
a = −0.557972 + 0.883757I
b = 0.916946 − 0.294173I
−1.38788 + 2.16672I 4.00000 − 5.21669I
u = 0.666642 − 0.549919I
a = 0.171191 + 0.598059I
b = 0.899500 + 0.191334I
−1.38788 + 2.16672I 4.00000 − 5.21669I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.032790 + 0.520597I
a = −1.007200 − 0.048246I
b = −1.69700 − 1.11471I
4.09523 − 5.68976I 0
u = 1.032790 + 0.520597I
a = 0.15392 + 2.08604I
b = −1.126640 + 0.817919I
4.09523 − 5.68976I 0
u = 1.032790 − 0.520597I
a = −1.007200 + 0.048246I
b = −1.69700 + 1.11471I
4.09523 + 5.68976I 0
u = 1.032790 − 0.520597I
a = 0.15392 − 2.08604I
b = −1.126640 − 0.817919I
4.09523 + 5.68976I 0
u = −1.040730 + 0.511748I
a = 0.13358 − 1.64233I
b = −0.92739 − 1.33633I
2.63526 + 5.96041I 0
u = −1.040730 + 0.511748I
a = −0.62162 + 1.69582I
b = 0.500633 + 0.261238I
2.63526 + 5.96041I 0
u = −1.040730 − 0.511748I
a = 0.13358 + 1.64233I
b = −0.92739 + 1.33633I
2.63526 − 5.96041I 0
u = −1.040730 − 0.511748I
a = −0.62162 − 1.69582I
b = 0.500633 − 0.261238I
2.63526 − 5.96041I 0
u = −0.993852 + 0.620347I
a = −0.708994 + 0.525865I
b = 0.714239 + 0.322722I
0.99155 + 6.40137I 0
u = −0.993852 + 0.620347I
a = 0.42456 − 1.90215I
b = −0.96605 − 1.20035I
0.99155 + 6.40137I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.993852 − 0.620347I
a = −0.708994 − 0.525865I
b = 0.714239 − 0.322722I
0.99155 − 6.40137I 0
u = −0.993852 − 0.620347I
a = 0.42456 + 1.90215I
b = −0.96605 + 1.20035I
0.99155 − 6.40137I 0
u = 1.18407
a = −0.57172 + 1.33448I
b = −0.251209 + 1.004500I
−4.03666 0
u = 1.18407
a = −0.57172 − 1.33448I
b = −0.251209 − 1.004500I
−4.03666 0
u = −0.773539
a = −1.52145
b = −0.553424
1.94885 5.65420
u = −0.773539
a = −0.167507
b = −1.25618
1.94885 5.65420
u = −1.115210 + 0.522613I
a = −1.325900 + 0.465841I
b = 0.746057 + 0.160646I
2.35361 + 5.90414I 0
u = −1.115210 + 0.522613I
a = 0.03148 − 1.91475I
b = −0.96194 − 1.22491I
2.35361 + 5.90414I 0
u = −1.115210 − 0.522613I
a = −1.325900 − 0.465841I
b = 0.746057 − 0.160646I
2.35361 − 5.90414I 0
u = −1.115210 − 0.522613I
a = 0.03148 + 1.91475I
b = −0.96194 + 1.22491I
2.35361 − 5.90414I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.539688 + 0.525895I
a = −1.218680 − 0.172365I
b = −1.161010 + 0.564880I
4.19790 − 1.70003I 12.64550 + 4.03165I
u = −0.539688 + 0.525895I
a = −1.50267 − 0.48393I
b = 0.776093 − 0.064315I
4.19790 − 1.70003I 12.64550 + 4.03165I
u = −0.539688 − 0.525895I
a = −1.218680 + 0.172365I
b = −1.161010 − 0.564880I
4.19790 + 1.70003I 12.64550 − 4.03165I
u = −0.539688 − 0.525895I
a = −1.50267 + 0.48393I
b = 0.776093 + 0.064315I
4.19790 + 1.70003I 12.64550 − 4.03165I
u = 1.158160 + 0.468537I
a = 1.37731 + 0.32941I
b = −0.784940 + 0.141404I
1.43369 − 11.01700I 0
u = 1.158160 + 0.468537I
a = 0.07023 − 1.92357I
b = 0.98069 − 1.22030I
1.43369 − 11.01700I 0
u = 1.158160 − 0.468537I
a = 1.37731 − 0.32941I
b = −0.784940 − 0.141404I
1.43369 + 11.01700I 0
u = 1.158160 − 0.468537I
a = 0.07023 + 1.92357I
b = 0.98069 + 1.22030I
1.43369 + 11.01700I 0
u = −1.134870 + 0.530654I
a = 0.973962 − 0.370776I
b = 1.52036 − 1.29665I
2.07141 + 12.33580I 0
u = −1.134870 + 0.530654I
a = −0.08275 + 1.89534I
b = 1.047500 + 0.813687I
2.07141 + 12.33580I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.134870 − 0.530654I
a = 0.973962 + 0.370776I
b = 1.52036 + 1.29665I
2.07141 − 12.33580I 0
u = −1.134870 − 0.530654I
a = −0.08275 − 1.89534I
b = 1.047500 − 0.813687I
2.07141 − 12.33580I 0
u = 0.678763 + 0.304090I
a = 1.81769 − 0.31820I
b = −0.870086 − 0.060300I
3.28012 − 2.95144I 11.34296 + 4.99728I
u = 0.678763 + 0.304090I
a = 1.85516 + 0.25499I
b = 1.42577 + 0.57082I
3.28012 − 2.95144I 11.34296 + 4.99728I
u = 0.678763 − 0.304090I
a = 1.81769 + 0.31820I
b = −0.870086 + 0.060300I
3.28012 + 2.95144I 11.34296 − 4.99728I
u = 0.678763 − 0.304090I
a = 1.85516 − 0.25499I
b = 1.42577 − 0.57082I
3.28012 + 2.95144I 11.34296 − 4.99728I
u = 0.711743 + 0.214181I
a = 0.502489 + 0.392426I
b = 1.151440 + 0.667098I
−0.99974 + 2.82526I 1.20359 − 0.99484I
u = 0.711743 + 0.214181I
a = −1.21930 + 1.72504I
b = −0.132530 − 0.238891I
−0.99974 + 2.82526I 1.20359 − 0.99484I
u = 0.711743 − 0.214181I
a = 0.502489 − 0.392426I
b = 1.151440 − 0.667098I
−0.99974 − 2.82526I 1.20359 + 0.99484I
u = 0.711743 − 0.214181I
a = −1.21930 − 1.72504I
b = −0.132530 + 0.238891I
−0.99974 − 2.82526I 1.20359 + 0.99484I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.275690 + 0.112208I
a = 0.57333 − 1.31381I
b = 0.412845 − 1.334780I
−7.51369 + 3.90311I 0
u = −1.275690 + 0.112208I
a = 0.50049 + 1.41688I
b = 0.531909 + 0.903314I
−7.51369 + 3.90311I 0
u = −1.275690 − 0.112208I
a = 0.57333 + 1.31381I
b = 0.412845 + 1.334780I
−7.51369 − 3.90311I 0
u = −1.275690 − 0.112208I
a = 0.50049 − 1.41688I
b = 0.531909 − 0.903314I
−7.51369 − 3.90311I 0
u = −0.228587 + 0.651998I
a = 0.016841 − 0.301519I
b = 0.968979 + 0.524884I
4.71744 + 7.09683I 11.1107 − 10.0462I
u = −0.228587 + 0.651998I
a = 2.67767 − 1.79519I
b = −0.579536 − 0.843179I
4.71744 + 7.09683I 11.1107 − 10.0462I
u = −0.228587 − 0.651998I
a = 0.016841 + 0.301519I
b = 0.968979 − 0.524884I
4.71744 − 7.09683I 11.1107 + 10.0462I
u = −0.228587 − 0.651998I
a = 2.67767 + 1.79519I
b = −0.579536 + 0.843179I
4.71744 − 7.09683I 11.1107 + 10.0462I
u = 0.473600 + 0.475601I
a = 0.345061 + 0.170096I
b = −1.263920 − 0.484839I
5.74109 + 1.44016I 14.5768 + 1.9096I
u = 0.473600 + 0.475601I
a = 2.06717 + 3.07009I
b = −0.84728 + 1.17883I
5.74109 + 1.44016I 14.5768 + 1.9096I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.473600 − 0.475601I
a = 0.345061 − 0.170096I
b = −1.263920 + 0.484839I
5.74109 − 1.44016I 14.5768 − 1.9096I
u = 0.473600 − 0.475601I
a = 2.06717 − 3.07009I
b = −0.84728 − 1.17883I
5.74109 − 1.44016I 14.5768 − 1.9096I
u = −0.100280 + 0.637761I
a = −0.437768 − 0.241830I
b = −1.031830 + 0.593890I
4.94829 − 1.46192I 11.85441 + 3.20512I
u = −0.100280 + 0.637761I
a = −2.98175 − 0.21027I
b = 0.487955 − 0.602136I
4.94829 − 1.46192I 11.85441 + 3.20512I
u = −0.100280 − 0.637761I
a = −0.437768 + 0.241830I
b = −1.031830 − 0.593890I
4.94829 + 1.46192I 11.85441 − 3.20512I
u = −0.100280 − 0.637761I
a = −2.98175 + 0.21027I
b = 0.487955 + 0.602136I
4.94829 + 1.46192I 11.85441 − 3.20512I
u = −0.188688 + 0.601578I
a = −0.314564 − 0.336475I
b = 1.143350 − 0.503661I
4.65615 − 7.77807I 11.27847 + 5.55302I
u = −0.188688 + 0.601578I
a = −3.04363 + 1.50519I
b = 0.762952 + 0.916198I
4.65615 − 7.77807I 11.27847 + 5.55302I
u = −0.188688 − 0.601578I
a = −0.314564 + 0.336475I
b = 1.143350 + 0.503661I
4.65615 + 7.77807I 11.27847 − 5.55302I
u = −0.188688 − 0.601578I
a = −3.04363 − 1.50519I
b = 0.762952 − 0.916198I
4.65615 + 7.77807I 11.27847 − 5.55302I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.25467 + 0.65872I
a = 0.244909 − 0.347638I
b = 0.539458 − 0.251523I
1.16328 + 3.43651I 0
u = 1.25467 + 0.65872I
a = −0.414535 − 0.070192I
b = 1.332110 + 0.343926I
1.16328 + 3.43651I 0
u = 1.25467 − 0.65872I
a = 0.244909 + 0.347638I
b = 0.539458 + 0.251523I
1.16328 − 3.43651I 0
u = 1.25467 − 0.65872I
a = −0.414535 + 0.070192I
b = 1.332110 − 0.343926I
1.16328 − 3.43651I 0
u = 1.29745 + 0.60581I
a = 0.048985 + 0.865067I
b = −0.538148 + 0.400279I
−3.34416 − 6.01155I 0
u = 1.29745 + 0.60581I
a = −0.26855 − 1.42689I
b = 1.22345 − 1.29317I
−3.34416 − 6.01155I 0
u = 1.29745 − 0.60581I
a = 0.048985 − 0.865067I
b = −0.538148 − 0.400279I
−3.34416 + 6.01155I 0
u = 1.29745 − 0.60581I
a = −0.26855 + 1.42689I
b = 1.22345 + 1.29317I
−3.34416 + 6.01155I 0
u = −1.16072 + 0.85252I
a = −0.210313 + 0.574395I
b = 0.628248 + 0.459975I
1.76328 + 7.13457I 0
u = −1.16072 + 0.85252I
a = 0.58326 − 1.45297I
b = −1.12243 − 1.10252I
1.76328 + 7.13457I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.16072 − 0.85252I
a = −0.210313 − 0.574395I
b = 0.628248 − 0.459975I
1.76328 − 7.13457I 0
u = −1.16072 − 0.85252I
a = 0.58326 + 1.45297I
b = −1.12243 + 1.10252I
1.76328 − 7.13457I 0
u = −1.47866 + 0.47246I
a = −0.243749 − 0.227925I
b = −0.430871 − 0.187128I
1.84354 + 1.24179I 0
u = −1.47866 + 0.47246I
a = 0.308229 − 0.000166I
b = −1.47549 + 0.28076I
1.84354 + 1.24179I 0
u = −1.47866 − 0.47246I
a = −0.243749 + 0.227925I
b = −0.430871 + 0.187128I
1.84354 − 1.24179I 0
u = −1.47866 − 0.47246I
a = 0.308229 + 0.000166I
b = −1.47549 − 0.28076I
1.84354 − 1.24179I 0
u = 1.28076 + 0.88750I
a = 0.115644 + 0.588333I
b = −0.590168 + 0.483945I
0.49855 − 12.39580I 0
u = 1.28076 + 0.88750I
a = −0.54062 − 1.33143I
b = 1.19201 − 1.08773I
0.49855 − 12.39580I 0
u = 1.28076 − 0.88750I
a = 0.115644 − 0.588333I
b = −0.590168 − 0.483945I
0.49855 + 12.39580I 0
u = 1.28076 − 0.88750I
a = −0.54062 + 1.33143I
b = 1.19201 + 1.08773I
0.49855 + 12.39580I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52971 + 0.39007I
a = 0.210355 + 0.296122I
b = 1.70934 + 0.78004I
0.74548 − 2.75195I 0
u = 1.52971 + 0.39007I
a = −0.330029 − 0.013900I
b = −0.170548 − 0.175640I
0.74548 − 2.75195I 0
u = 1.52971 − 0.39007I
a = 0.210355 − 0.296122I
b = 1.70934 − 0.78004I
0.74548 + 2.75195I 0
u = 1.52971 − 0.39007I
a = −0.330029 + 0.013900I
b = −0.170548 + 0.175640I
0.74548 + 2.75195I 0
u = −0.378739 + 0.094404I
a = −0.899445 − 0.737629I
b = −1.350900 − 0.372864I
5.26333 + 1.61855I 15.5321 − 12.5611I
u = −0.378739 + 0.094404I
a = −1.19367 − 7.95351I
b = −0.261456 + 0.308785I
5.26333 + 1.61855I 15.5321 − 12.5611I
u = −0.378739 − 0.094404I
a = −0.899445 + 0.737629I
b = −1.350900 + 0.372864I
5.26333 − 1.61855I 15.5321 + 12.5611I
u = −0.378739 − 0.094404I
a = −1.19367 + 7.95351I
b = −0.261456 − 0.308785I
5.26333 − 1.61855I 15.5321 + 12.5611I
u = 0.373793 + 0.016354I
a = 1.114600 − 0.725533I
b = 1.35097 − 0.52120I
4.53970 − 7.47022I 22.4187 + 10.8622I
u = 0.373793 + 0.016354I
a = −0.12774 − 9.40851I
b = 0.111222 + 0.332738I
4.53970 − 7.47022I 22.4187 + 10.8622I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.373793 − 0.016354I
a = 1.114600 + 0.725533I
b = 1.35097 + 0.52120I
4.53970 + 7.47022I 22.4187 − 10.8622I
u = 0.373793 − 0.016354I
a = −0.12774 + 9.40851I
b = 0.111222 − 0.332738I
4.53970 + 7.47022I 22.4187 − 10.8622I
u = −1.93517 + 0.83011I
a = −0.027031 + 0.146160I
b = −1.92459 + 0.98231I
1.68742 − 1.49708I 0
u = −1.93517 + 0.83011I
a = 0.0716781 − 0.0252929I
b = 0.0378499 − 0.1290530I
1.68742 − 1.49708I 0
u = −1.93517 − 0.83011I
a = −0.027031 − 0.146160I
b = −1.92459 − 0.98231I
1.68742 + 1.49708I 0
u = −1.93517 − 0.83011I
a = 0.0716781 + 0.0252929I
b = 0.0378499 + 0.1290530I
1.68742 + 1.49708I 0
27
III. I
u
3
= h−4.97 × 10
10
u
43
+ 1.05 × 10
10
u
42
+ · · · + 2.85 × 10
8
b − 6.77 ×
10
10
, −7.88 × 10
11
u
43
− 4.83 × 10
11
u
42
+ · · · + 5.71 × 10
8
a + 6.93 ×
10
12
, u
44
− 23u
42
+ · · · − 102u
2
+ 4i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
1
=
1380.27u
43
+ 847.215u
42
+ ··· − 19532.9u − 12140.4
174.086u
43
− 36.8315u
42
+ ··· − 2595.25u + 237.127
a
5
=
1
u
2
a
6
=
−469.676u
43
− 434.302u
42
+ ··· + 2687.71u + 5259.46
269.209u
43
− 131.003u
42
+ ··· − 3625.99u + 1898.91
a
11
=
−u
−u
3
+ u
a
3
=
787.025u
43
+ 469.387u
42
+ ··· − 8298.88u − 5640.50
−600.364u
43
+ 290.226u
42
+ ··· + 8604.21u − 4145.18
a
2
=
−126.074u
43
+ 31.2619u
42
+ ··· + 3740.20u + 733.970
−311.459u
43
+ 198.058u
42
+ ··· + 3446.65u − 2202.88
a
12
=
1206.18u
43
+ 884.047u
42
+ ··· − 16937.7u − 12377.5
174.086u
43
− 36.8315u
42
+ ··· − 2595.25u + 237.127
a
7
=
59.2817u
43
+ 174.086u
42
+ ··· + 338.247u − 2595.25
884.047u
43
− 343.974u
42
+ ··· − 12377.5u + 4824.73
a
9
=
−445.667u
43
− 441.656u
42
+ ··· + 6512.62u + 5712.03
−145.013u
43
+ 42.9310u
42
+ ··· + 1969.18u − 319.421
a
8
=
328.491u
43
+ 111.426u
42
+ ··· − 3287.74u − 1743.37
692.223u
43
− 299.669u
42
+ ··· − 9828.37u + 4223.48
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
169875784393
142649581
u
42
+
3858802931754
142649581
u
40
+ ··· −
49992549320264
142649581
u
2
+
2225891322260
142649581
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
22
− 12u
21
+ ··· − 30u + 4)
2
c
2
, c
8
u
44
+ 12u
42
+ ··· + 30u
2
+ 4
c
3
u
44
− 8u
43
+ ··· + 12u + 1
c
4
, c
10
u
44
− 23u
42
+ ··· − 102u
2
+ 4
c
5
u
44
− 3u
43
+ ··· − u + 3
c
6
u
44
+ 12u
42
+ ··· + 104u
2
+ 64
c
7
u
44
+ 3u
43
+ ··· + u + 3
c
9
u
44
+ 4u
43
+ ··· − 2u + 1
c
11
u
44
+ 8u
43
+ ··· − 12u + 1
c
12
u
44
− 4u
43
+ ··· + 2u + 1
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
22
− 2y
21
+ ··· + 116y + 16)
2
c
2
, c
8
(y
22
+ 12y
21
+ ··· + 30y + 4)
2
c
3
, c
11
y
44
− 24y
43
+ ··· + 34y + 1
c
4
, c
10
(y
22
− 23y
21
+ ··· − 102y + 4)
2
c
5
, c
7
y
44
− 29y
43
+ ··· + 275y + 9
c
6
(y
22
+ 12y
21
+ ··· + 104y + 64)
2
c
9
, c
12
y
44
− 36y
43
+ ··· + 8y + 1
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.890301 + 0.355710I
a = −1.55139 + 2.50702I
b = −2.84336 + 0.48981I
−3.61231 − 1.50481I 0
u = 0.890301 − 0.355710I
a = −1.55139 − 2.50702I
b = −2.84336 − 0.48981I
−3.61231 + 1.50481I 0
u = −0.890301 + 0.355710I
a = −0.14684 − 2.23209I
b = −1.66770 − 0.34315I
−3.61231 + 1.50481I 0
u = −0.890301 − 0.355710I
a = −0.14684 + 2.23209I
b = −1.66770 + 0.34315I
−3.61231 − 1.50481I 0
u = 0.962781 + 0.556290I
a = −0.42680 − 1.99979I
b = 0.99813 − 1.33644I
1.54605 − 6.68632I 0
u = 0.962781 − 0.556290I
a = −0.42680 + 1.99979I
b = 0.99813 + 1.33644I
1.54605 + 6.68632I 0
u = −0.962781 + 0.556290I
a = −0.871040 + 0.923872I
b = 0.812637 + 0.557564I
1.54605 + 6.68632I 0
u = −0.962781 − 0.556290I
a = −0.871040 − 0.923872I
b = 0.812637 − 0.557564I
1.54605 − 6.68632I 0
u = −1.057040 + 0.599259I
a = −0.693557 + 0.066886I
b = 0.651853 + 0.043632I
1.69287 + 5.75932I 0
u = −1.057040 − 0.599259I
a = −0.693557 − 0.066886I
b = 0.651853 − 0.043632I
1.69287 − 5.75932I 0
31
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.057040 + 0.599259I
a = −0.28795 − 1.92158I
b = 0.92767 − 1.11759I
1.69287 − 5.75932I 0
u = 1.057040 − 0.599259I
a = −0.28795 + 1.92158I
b = 0.92767 + 1.11759I
1.69287 + 5.75932I 0
u = −1.137810 + 0.573953I
a = 0.23224 − 1.85448I
b = −0.922178 − 1.030250I
0.40365 + 10.85750I 0
u = −1.137810 − 0.573953I
a = 0.23224 + 1.85448I
b = −0.922178 + 1.030250I
0.40365 − 10.85750I 0
u = 1.137810 + 0.573953I
a = 0.369719 − 0.301271I
b = −0.592267 − 0.232521I
0.40365 − 10.85750I 0
u = 1.137810 − 0.573953I
a = 0.369719 + 0.301271I
b = −0.592267 + 0.232521I
0.40365 + 10.85750I 0
u = −1.250330 + 0.427686I
a = −0.131233 − 0.240099I
b = −0.265739 − 0.377245I
1.69511 − 1.48636I 0
u = −1.250330 − 0.427686I
a = −0.131233 + 0.240099I
b = −0.265739 + 0.377245I
1.69511 + 1.48636I 0
u = 1.250330 + 0.427686I
a = 0.021163 + 0.479787I
b = 1.254000 + 0.613062I
1.69511 + 1.48636I 0
u = 1.250330 − 0.427686I
a = 0.021163 − 0.479787I
b = 1.254000 − 0.613062I
1.69511 − 1.48636I 0
32
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.278510 + 0.382564I
a = 0.06391 − 1.47969I
b = −0.662548 − 1.160730I
−4.45807 + 5.11414I 0
u = −1.278510 − 0.382564I
a = 0.06391 + 1.47969I
b = −0.662548 + 1.160730I
−4.45807 − 5.11414I 0
u = 1.278510 + 0.382564I
a = 0.071694 − 1.157740I
b = 0.194451 − 0.834587I
−4.45807 − 5.11414I 0
u = 1.278510 − 0.382564I
a = 0.071694 + 1.157740I
b = 0.194451 + 0.834587I
−4.45807 + 5.11414I 0
u = 0.655358 + 0.056161I
a = −2.25831 − 1.83083I
b = 0.647534 − 0.510592I
−1.00629 − 3.74451I 0.59125 + 7.75639I
u = 0.655358 − 0.056161I
a = −2.25831 + 1.83083I
b = 0.647534 + 0.510592I
−1.00629 + 3.74451I 0.59125 − 7.75639I
u = −0.655358 + 0.056161I
a = 0.09957 − 1.74344I
b = −0.996379 − 0.834626I
−1.00629 + 3.74451I 0.59125 − 7.75639I
u = −0.655358 − 0.056161I
a = 0.09957 + 1.74344I
b = −0.996379 + 0.834626I
−1.00629 − 3.74451I 0.59125 + 7.75639I
u = 0.534947 + 0.027147I
a = 0.13006 + 7.24681I
b = −0.103553 + 0.629023I
4.31380 + 7.41464I −11.59362 − 2.35758I
u = 0.534947 − 0.027147I
a = 0.13006 − 7.24681I
b = −0.103553 − 0.629023I
4.31380 − 7.41464I −11.59362 + 2.35758I
33
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.534947 + 0.027147I
a = −0.411132 + 0.237842I
b = −1.36126 + 0.51197I
4.31380 − 7.41464I −11.59362 + 2.35758I
u = −0.534947 − 0.027147I
a = −0.411132 − 0.237842I
b = −1.36126 − 0.51197I
4.31380 + 7.41464I −11.59362 − 2.35758I
u = 0.503384 + 0.100771I
a = 0.533711 − 0.267913I
b = 1.37356 + 0.39441I
5.07435 + 1.38368I −2.10691 + 7.35889I
u = 0.503384 − 0.100771I
a = 0.533711 + 0.267913I
b = 1.37356 − 0.39441I
5.07435 − 1.38368I −2.10691 − 7.35889I
u = −0.503384 + 0.100771I
a = −2.48743 + 5.79951I
b = 0.410188 + 0.635835I
5.07435 − 1.38368I −2.10691 − 7.35889I
u = −0.503384 − 0.100771I
a = −2.48743 − 5.79951I
b = 0.410188 − 0.635835I
5.07435 + 1.38368I −2.10691 + 7.35889I
u = 1.51789 + 0.04412I
a = 0.334384 + 0.146502I
b = 0.307214 − 0.009085I
0.87521 − 2.88965I 0
u = 1.51789 − 0.04412I
a = 0.334384 − 0.146502I
b = 0.307214 + 0.009085I
0.87521 + 2.88965I 0
u = −1.51789 + 0.04412I
a = −0.067041 + 0.360788I
b = −1.73760 + 0.40703I
0.87521 + 2.88965I 0
u = −1.51789 − 0.04412I
a = −0.067041 − 0.360788I
b = −1.73760 − 0.40703I
0.87521 − 2.88965I 0
34
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.65768 + 0.61691I
a = −0.0442541 − 0.0313126I
b = −0.090856 − 0.161668I
1.70029 − 1.46928I 0
u = −1.65768 − 0.61691I
a = −0.0442541 + 0.0313126I
b = −0.090856 + 0.161668I
1.70029 + 1.46928I 0
u = 1.65768 + 0.61691I
a = 0.020536 + 0.223134I
b = 1.66619 + 0.77983I
1.70029 + 1.46928I 0
u = 1.65768 − 0.61691I
a = 0.020536 − 0.223134I
b = 1.66619 − 0.77983I
1.70029 − 1.46928I 0
35
IV. I
v
1
= ha, b − 1, v + 1i
(i) Arc colorings
a
4
=
1
0
a
10
=
−1
0
a
1
=
0
1
a
5
=
1
0
a
6
=
1
−1
a
11
=
−1
0
a
3
=
0
1
a
2
=
0
1
a
12
=
−1
1
a
7
=
1
−1
a
9
=
0
−1
a
8
=
0
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 12
36
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
4
c
6
, c
8
, c
10
u
c
3
, c
7
, c
12
u + 1
c
5
, c
9
, c
11
u − 1
37
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
6
, c
8
, c
10
y
c
3
, c
5
, c
7
c
9
, c
11
, c
12
y −1
38
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = 1.00000
3.28987 12.0000
39
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u
22
− 12u
21
+ ··· − 30u + 4)
2
(u
74
+ 27u
73
+ ··· + 5620u + 676)
c
2
, c
8
u(u
44
+ 12u
42
+ ··· + 30u
2
+ 4)(u
74
+ 3u
73
+ ··· + 198u + 26)
c
3
(u + 1)(u
44
− 8u
43
+ ··· + 12u + 1)(u
74
+ u
73
+ ··· − 4u + 1)
c
4
, c
10
u(u
44
− 23u
42
+ ··· − 102u
2
+ 4)(u
74
− 3u
73
+ ··· − 214u + 50)
c
5
(u − 1)(u
44
− 3u
43
+ ··· − u + 3)(u
74
− u
73
+ ··· − 16u + 1)
c
6
u(u
44
+ 12u
42
+ ··· + 104u
2
+ 64)(u
74
− 3u
73
+ ··· − 71216u + 11944)
c
7
(u + 1)(u
44
+ 3u
43
+ ··· + u + 3)(u
74
− u
73
+ ··· − 16u + 1)
c
9
(u − 1)(u
44
+ 4u
43
+ ··· − 2u + 1)(u
74
+ 5u
73
+ ··· + 2u + 1)
c
11
(u − 1)(u
44
+ 8u
43
+ ··· − 12u + 1)(u
74
+ u
73
+ ··· − 4u + 1)
c
12
(u + 1)(u
44
− 4u
43
+ ··· + 2u + 1)(u
74
+ 5u
73
+ ··· + 2u + 1)
40
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y(y
22
− 2y
21
+ ··· + 116y + 16)
2
· (y
74
+ 27y
73
+ ··· + 8851216y + 456976)
c
2
, c
8
y(y
22
+ 12y
21
+ ··· + 30y + 4)
2
(y
74
+ 27y
73
+ ··· + 5620y + 676)
c
3
, c
11
(y −1)(y
44
− 24y
43
+ ··· + 34y + 1)(y
74
− 13y
73
+ ··· − 4y + 1)
c
4
, c
10
y(y
22
− 23y
21
+ ··· − 102y + 4)
2
· (y
74
− 29y
73
+ ··· + 11604y + 2500)
c
5
, c
7
(y −1)(y
44
− 29y
43
+ ··· + 275y + 9)(y
74
+ y
73
+ ··· − 84y + 1)
c
6
y(y
22
+ 12y
21
+ ··· + 104y + 64)
2
· (y
74
− y
73
+ ··· + 999177664y + 142659136)
c
9
, c
12
(y −1)(y
44
− 36y
43
+ ··· + 8y + 1)(y
74
+ 17y
73
+ ··· + 38y + 1)
41
