12a
0993
(K12a
0993
)
A knot diagram
1
Linearized knot diagam
4 6 11 1 9 10 3 12 2 7 8 5
Solving Sequence
3,7 8,10
11 4 12 6 2 1 9 5
c
7
c
10
c
3
c
11
c
6
c
2
c
1
c
9
c
5
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.10594 × 10
879
u
125
+ 1.36630 × 10
879
u
124
+ ··· + 1.54517 × 10
880
b − 3.26555 × 10
880
,
− 8.92339 × 10
880
u
125
− 8.84509 × 10
880
u
124
+ ··· + 1.69969 × 10
881
a − 7.52252 × 10
882
,
u
126
+ u
125
+ ··· − 132u + 11i
I
u
2
= h−9.30719 × 10
30
u
29
− 5.87135 × 10
30
u
28
+ ··· + 1.66371 × 10
31
b + 2.43132 × 10
31
,
− 6.80425 × 10
30
u
29
− 4.64175 × 10
28
u
28
+ ··· + 1.66371 × 10
31
a − 1.17316 × 10
31
, u
30
+ 3u
28
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 156 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
= h1.11 × 10
879
u
125
+ 1.37 × 10
879
u
124
+ · · · + 1.55 × 10
880
b − 3.27 ×
10
880
, −8.92 × 10
880
u
125
− 8.85 × 10
880
u
124
+ · · · + 1.70 × 10
881
a − 7.52 ×
10
882
, u
126
+ u
125
+ · · · − 132u + 11i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
10
=
0.525002u
125
+ 0.520395u
124
+ ··· − 374.540u + 44.2583
−0.0715738u
125
− 0.0884238u
124
+ ··· − 0.736350u + 2.11339
a
11
=
0.596576u
125
+ 0.608819u
124
+ ··· − 373.804u + 42.1449
−0.0715738u
125
− 0.0884238u
124
+ ··· − 0.736350u + 2.11339
a
4
=
1.58980u
125
+ 1.63087u
124
+ ··· − 654.607u − 8.00754
0.0966687u
125
+ 0.0928713u
124
+ ··· − 91.2100u + 3.34168
a
12
=
0.583221u
125
+ 0.593184u
124
+ ··· − 379.487u + 44.1236
−0.0729892u
125
− 0.0918397u
124
+ ··· − 0.582326u + 2.08831
a
6
=
−0.259868u
125
− 0.170339u
124
+ ··· + 375.077u − 51.5973
0.0439211u
125
+ 0.0367812u
124
+ ··· − 27.1830u − 0.487529
a
2
=
1.54565u
125
+ 1.31340u
124
+ ··· − 1183.86u + 3.71872
0.0592009u
125
+ 0.0546213u
124
+ ··· − 46.3274u − 1.23676
a
1
=
0.581766u
125
+ 0.450854u
124
+ ··· − 139.927u − 31.3043
−0.132150u
125
− 0.220674u
124
+ ··· − 81.3185u + 4.14573
a
9
=
−0.180228u
125
+ 0.0908883u
124
+ ··· + 625.815u − 72.6402
0.0188578u
125
+ 0.0128273u
124
+ ··· − 16.0604u − 1.06033
a
5
=
−0.228010u
125
− 0.696063u
124
+ ··· − 619.877u + 37.7195
0.0341963u
125
− 0.0132225u
124
+ ··· − 75.4933u + 3.53262
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0314101u
125
+ 0.232150u
124
+ ··· + 485.494u − 43.2059
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
12
u
126
+ 6u
125
+ ··· − 46u + 1
c
2
u
126
+ 6u
124
+ ··· + 153u − 1
c
3
u
126
+ 4u
124
+ ··· + 13u − 1
c
5
u
126
− 7u
125
+ ··· + 594874511u − 184550927
c
6
, c
10
u
126
+ u
125
+ ··· − 53u − 1
c
7
u
126
+ u
125
+ ··· − 132u + 11
c
8
, c
11
u
126
− 3u
125
+ ··· + 64815u − 21157
c
9
u
126
− 3u
125
+ ··· − 15150u − 875
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
126
+ 128y
125
+ ··· − 658y + 1
c
2
y
126
+ 12y
125
+ ··· − 25937y + 1
c
3
y
126
+ 8y
125
+ ··· − 539y + 1
c
5
y
126
− 61y
125
+ ··· − 817860618458859723y + 34059044656559329
c
6
, c
10
y
126
− 89y
125
+ ··· − 285y + 1
c
7
y
126
− y
125
+ ··· − 28336y + 121
c
8
, c
11
y
126
− 107y
125
+ ··· + 8032458629y + 447618649
c
9
y
126
− 13y
125
+ ··· − 211112500y + 765625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.968012 + 0.206740I
a = −0.841309 + 0.618895I
b = 0.382176 − 0.612476I
3.86360 − 1.13254I 0
u = 0.968012 − 0.206740I
a = −0.841309 − 0.618895I
b = 0.382176 + 0.612476I
3.86360 + 1.13254I 0
u = 0.722580 + 0.707302I
a = 0.321355 − 0.392167I
b = 0.246993 − 0.037301I
0.90720 + 2.23366I 0
u = 0.722580 − 0.707302I
a = 0.321355 + 0.392167I
b = 0.246993 + 0.037301I
0.90720 − 2.23366I 0
u = −0.701722 + 0.731285I
a = 1.183870 − 0.557138I
b = 1.42066 + 0.47320I
−4.51319 − 2.95889I 0
u = −0.701722 − 0.731285I
a = 1.183870 + 0.557138I
b = 1.42066 − 0.47320I
−4.51319 + 2.95889I 0
u = −0.917887 + 0.351540I
a = 0.468009 − 0.083088I
b = −0.450872 + 0.696654I
7.04474 − 1.32151I 0
u = −0.917887 − 0.351540I
a = 0.468009 + 0.083088I
b = −0.450872 − 0.696654I
7.04474 + 1.32151I 0
u = −0.954461 + 0.202606I
a = −0.784825 − 1.021690I
b = 0.705378 + 0.641418I
10.01000 + 3.91751I 0
u = −0.954461 − 0.202606I
a = −0.784825 + 1.021690I
b = 0.705378 − 0.641418I
10.01000 − 3.91751I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.849912 + 0.583986I
a = −0.373182 − 1.071840I
b = −1.163970 + 0.238978I
0.47499 + 5.28536I 0
u = 0.849912 − 0.583986I
a = −0.373182 + 1.071840I
b = −1.163970 − 0.238978I
0.47499 − 5.28536I 0
u = −0.737965 + 0.626114I
a = 0.510029 − 0.263258I
b = −0.157910 + 1.032840I
6.41264 − 2.33812I 0
u = −0.737965 − 0.626114I
a = 0.510029 + 0.263258I
b = −0.157910 − 1.032840I
6.41264 + 2.33812I 0
u = −0.129149 + 0.954019I
a = 1.237170 + 0.019775I
b = 1.30144 + 0.76450I
3.05595 − 3.53054I 0
u = −0.129149 − 0.954019I
a = 1.237170 − 0.019775I
b = 1.30144 − 0.76450I
3.05595 + 3.53054I 0
u = −0.269534 + 0.918113I
a = 1.052230 − 0.391170I
b = 0.573678 + 0.616502I
4.73137 − 2.68223I 0
u = −0.269534 − 0.918113I
a = 1.052230 + 0.391170I
b = 0.573678 − 0.616502I
4.73137 + 2.68223I 0
u = −0.037847 + 1.063370I
a = −1.076550 + 0.583214I
b = 0.0644537 + 0.1137520I
9.63649 − 7.24665I 0
u = −0.037847 − 1.063370I
a = −1.076550 − 0.583214I
b = 0.0644537 − 0.1137520I
9.63649 + 7.24665I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.779491 + 0.757708I
a = 1.02597 + 2.06833I
b = 1.154720 − 0.147525I
6.63909 + 8.20125I 0
u = 0.779491 − 0.757708I
a = 1.02597 − 2.06833I
b = 1.154720 + 0.147525I
6.63909 − 8.20125I 0
u = 0.174729 + 0.889388I
a = 1.44002 − 0.73130I
b = 0.440431 + 0.046106I
4.69795 − 2.86828I 0
u = 0.174729 − 0.889388I
a = 1.44002 + 0.73130I
b = 0.440431 − 0.046106I
4.69795 + 2.86828I 0
u = 0.026878 + 0.904424I
a = −2.23187 − 0.74246I
b = −1.161310 − 0.131568I
−2.91584 − 3.59853I 0
u = 0.026878 − 0.904424I
a = −2.23187 + 0.74246I
b = −1.161310 + 0.131568I
−2.91584 + 3.59853I 0
u = 0.738162 + 0.516805I
a = 1.112750 + 0.775174I
b = 1.43589 − 0.61909I
−0.64593 + 6.02874I 0
u = 0.738162 − 0.516805I
a = 1.112750 − 0.775174I
b = 1.43589 + 0.61909I
−0.64593 − 6.02874I 0
u = −1.036500 + 0.425597I
a = −0.643009 − 0.175995I
b = −0.174290 + 0.707571I
4.76622 − 2.24293I 0
u = −1.036500 − 0.425597I
a = −0.643009 + 0.175995I
b = −0.174290 − 0.707571I
4.76622 + 2.24293I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.399858 + 1.062710I
a = 2.54526 − 1.21520I
b = 1.150700 + 0.055423I
−0.70367 − 3.42936I 0
u = −0.399858 − 1.062710I
a = 2.54526 + 1.21520I
b = 1.150700 − 0.055423I
−0.70367 + 3.42936I 0
u = −0.501362 + 0.698749I
a = −1.10159 + 1.68091I
b = −1.160730 − 0.040659I
−4.55735 − 1.27291I 0
u = −0.501362 − 0.698749I
a = −1.10159 − 1.68091I
b = −1.160730 + 0.040659I
−4.55735 + 1.27291I 0
u = 0.767040 + 0.378405I
a = −1.367770 + 0.112888I
b = −1.59069 − 0.13500I
7.20930 − 3.74478I 0
u = 0.767040 − 0.378405I
a = −1.367770 − 0.112888I
b = −1.59069 + 0.13500I
7.20930 + 3.74478I 0
u = 0.662164 + 0.494308I
a = 0.334236 + 0.339193I
b = −0.150099 − 0.914798I
1.19579 + 1.85580I 0
u = 0.662164 − 0.494308I
a = 0.334236 − 0.339193I
b = −0.150099 + 0.914798I
1.19579 − 1.85580I 0
u = 0.751275 + 0.914799I
a = 1.110060 + 0.454273I
b = 1.45340 − 0.27676I
−0.695593 + 0.430873I 0
u = 0.751275 − 0.914799I
a = 1.110060 − 0.454273I
b = 1.45340 + 0.27676I
−0.695593 − 0.430873I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.539342 + 0.609694I
a = −2.44519 − 1.07402I
b = −1.046790 + 0.382026I
5.19982 + 5.44798I 0. − 8.13519I
u = 0.539342 − 0.609694I
a = −2.44519 + 1.07402I
b = −1.046790 − 0.382026I
5.19982 − 5.44798I 0. + 8.13519I
u = 0.727479 + 0.334456I
a = 0.336265 − 0.041580I
b = −0.036714 − 0.666665I
1.04572 + 1.34644I 0
u = 0.727479 − 0.334456I
a = 0.336265 + 0.041580I
b = −0.036714 + 0.666665I
1.04572 − 1.34644I 0
u = 0.136225 + 0.776984I
a = 1.46727 − 0.01362I
b = 1.31564 − 0.63453I
−2.11477 + 2.94281I −23.2919 − 10.5595I
u = 0.136225 − 0.776984I
a = 1.46727 + 0.01362I
b = 1.31564 + 0.63453I
−2.11477 − 2.94281I −23.2919 + 10.5595I
u = −0.788165
a = −1.55663
b = −1.39953
2.48354 5.67410
u = 0.090736 + 1.219680I
a = −0.686362 − 0.249825I
b = 0.0687145 − 0.0314972I
2.19489 + 3.04393I 0
u = 0.090736 − 1.219680I
a = −0.686362 + 0.249825I
b = 0.0687145 + 0.0314972I
2.19489 − 3.04393I 0
u = 1.026350 + 0.680770I
a = −0.0526145 + 0.0042219I
b = −0.078455 + 1.177730I
12.1495 + 12.5348I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.026350 − 0.680770I
a = −0.0526145 − 0.0042219I
b = −0.078455 − 1.177730I
12.1495 − 12.5348I 0
u = −1.073650 + 0.642604I
a = −0.0280392 + 0.0269565I
b = −0.136979 − 1.044980I
5.48825 − 8.57859I 0
u = −1.073650 − 0.642604I
a = −0.0280392 − 0.0269565I
b = −0.136979 + 1.044980I
5.48825 + 8.57859I 0
u = 0.428583 + 1.180290I
a = 1.189860 + 0.294886I
b = 1.009070 − 0.273860I
−1.42765 + 1.64320I 0
u = 0.428583 − 1.180290I
a = 1.189860 − 0.294886I
b = 1.009070 + 0.273860I
−1.42765 − 1.64320I 0
u = −0.693722 + 0.261825I
a = −0.264784 − 0.486947I
b = −0.211354 + 1.166350I
4.43559 − 0.75434I 7.78662 − 2.19445I
u = −0.693722 − 0.261825I
a = −0.264784 + 0.486947I
b = −0.211354 − 1.166350I
4.43559 + 0.75434I 7.78662 + 2.19445I
u = 1.070930 + 0.704608I
a = −0.618275 − 0.024661I
b = −0.509253 − 0.785700I
11.83960 + 4.23093I 0
u = 1.070930 − 0.704608I
a = −0.618275 + 0.024661I
b = −0.509253 + 0.785700I
11.83960 − 4.23093I 0
u = 0.511429 + 0.500117I
a = −0.217174 − 0.188538I
b = 0.026842 − 1.328720I
5.71723 + 5.77036I 2.36112 − 11.11424I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.511429 − 0.500117I
a = −0.217174 + 0.188538I
b = 0.026842 + 1.328720I
5.71723 − 5.77036I 2.36112 + 11.11424I
u = −0.749688 + 1.044300I
a = −1.55802 + 0.39336I
b = −1.326070 − 0.393163I
−3.18376 − 5.37366I 0
u = −0.749688 − 1.044300I
a = −1.55802 − 0.39336I
b = −1.326070 + 0.393163I
−3.18376 + 5.37366I 0
u = 1.030840 + 0.770617I
a = −1.11660 − 1.00027I
b = −1.32126 + 0.58253I
2.78831 + 8.21347I 0
u = 1.030840 − 0.770617I
a = −1.11660 + 1.00027I
b = −1.32126 − 0.58253I
2.78831 − 8.21347I 0
u = 1.30548
a = 0.413226
b = −0.995775
3.28667 0
u = −1.311650 + 0.039307I
a = 0.428074 − 0.025182I
b = −1.040940 + 0.127080I
8.28404 − 0.19696I 0
u = −1.311650 − 0.039307I
a = 0.428074 + 0.025182I
b = −1.040940 − 0.127080I
8.28404 + 0.19696I 0
u = −0.568653 + 0.381095I
a = −0.041833 + 0.196380I
b = 0.175657 + 1.110410I
0.21103 − 3.56176I −2.00000 + 12.87689I
u = −0.568653 − 0.381095I
a = −0.041833 − 0.196380I
b = 0.175657 − 1.110410I
0.21103 + 3.56176I −2.00000 − 12.87689I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.017290 + 0.849259I
a = −1.138810 + 0.819126I
b = −1.312060 − 0.520361I
−2.50148 − 7.21721I 0
u = −1.017290 − 0.849259I
a = −1.138810 − 0.819126I
b = −1.312060 + 0.520361I
−2.50148 + 7.21721I 0
u = 1.161240 + 0.645349I
a = 0.0269442 − 0.0391937I
b = −0.083701 + 0.838821I
5.69849 + 3.36426I 0
u = 1.161240 − 0.645349I
a = 0.0269442 + 0.0391937I
b = −0.083701 − 0.838821I
5.69849 − 3.36426I 0
u = −0.225504 + 0.603291I
a = 0.926505 + 0.688105I
b = 0.171819 − 0.041861I
−1.034390 + 0.819414I −7.05388 − 2.21568I
u = −0.225504 − 0.603291I
a = 0.926505 − 0.688105I
b = 0.171819 + 0.041861I
−1.034390 − 0.819414I −7.05388 + 2.21568I
u = −1.029170 + 0.904792I
a = 0.970558 − 0.328742I
b = 1.160940 − 0.071700I
−2.77637 + 0.66825I 0
u = −1.029170 − 0.904792I
a = 0.970558 + 0.328742I
b = 1.160940 + 0.071700I
−2.77637 − 0.66825I 0
u = 0.305187 + 0.546803I
a = 1.25848 + 0.71590I
b = 1.36172 + 0.53318I
1.77844 − 2.71652I 0.434746 − 0.863996I
u = 0.305187 − 0.546803I
a = 1.25848 − 0.71590I
b = 1.36172 − 0.53318I
1.77844 + 2.71652I 0.434746 + 0.863996I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.861315 + 1.089700I
a = −1.341780 − 0.385251I
b = −1.38682 + 0.49565I
−4.57772 + 9.15194I 0
u = 0.861315 − 1.089700I
a = −1.341780 + 0.385251I
b = −1.38682 − 0.49565I
−4.57772 − 9.15194I 0
u = −1.199660 + 0.737164I
a = 0.0783001 − 0.0072274I
b = 0.175996 − 0.762885I
12.86710 + 0.42464I 0
u = −1.199660 − 0.737164I
a = 0.0783001 + 0.0072274I
b = 0.175996 + 0.762885I
12.86710 − 0.42464I 0
u = −0.89430 + 1.13406I
a = −1.261770 + 0.364178I
b = −1.39930 − 0.57543I
1.23096 − 12.20610I 0
u = −0.89430 − 1.13406I
a = −1.261770 − 0.364178I
b = −1.39930 + 0.57543I
1.23096 + 12.20610I 0
u = 0.453539 + 0.307718I
a = 0.837401 + 0.907158I
b = 1.233150 + 0.594856I
1.78881 − 2.72875I 2.39765 + 0.46040I
u = 0.453539 − 0.307718I
a = 0.837401 − 0.907158I
b = 1.233150 − 0.594856I
1.78881 + 2.72875I 2.39765 − 0.46040I
u = 1.15430 + 0.88730I
a = −0.924165 − 0.603908I
b = −1.293110 + 0.434196I
0.75691 + 6.06319I 0
u = 1.15430 − 0.88730I
a = −0.924165 + 0.603908I
b = −1.293110 − 0.434196I
0.75691 − 6.06319I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.480589 + 0.170637I
a = −0.972704 + 0.672663I
b = −1.126390 − 0.834072I
2.45303 + 2.40939I 9.70516 − 8.98371I
u = 0.480589 − 0.170637I
a = −0.972704 − 0.672663I
b = −1.126390 + 0.834072I
2.45303 − 2.40939I 9.70516 + 8.98371I
u = 0.478856 + 0.007166I
a = −3.70484 − 1.81326I
b = −0.717751 + 0.180802I
9.23772 + 1.58715I 0.97417 − 3.87239I
u = 0.478856 − 0.007166I
a = −3.70484 + 1.81326I
b = −0.717751 − 0.180802I
9.23772 − 1.58715I 0.97417 + 3.87239I
u = −0.466435 + 0.066221I
a = −2.15123 − 1.42660I
b = −0.859954 + 0.294542I
2.90713 + 0.56914I 2.73109 − 0.87226I
u = −0.466435 − 0.066221I
a = −2.15123 + 1.42660I
b = −0.859954 − 0.294542I
2.90713 − 0.56914I 2.73109 + 0.87226I
u = −0.427326 + 0.179054I
a = −0.948841 − 0.387226I
b = −1.49741 + 1.02920I
8.21252 − 5.33315I 19.4828 + 13.2523I
u = −0.427326 − 0.179054I
a = −0.948841 + 0.387226I
b = −1.49741 − 1.02920I
8.21252 + 5.33315I 19.4828 − 13.2523I
u = −1.25961 + 1.08912I
a = 1.263630 − 0.518184I
b = 1.39968 + 0.54420I
7.5384 − 18.5486I 0
u = −1.25961 − 1.08912I
a = 1.263630 + 0.518184I
b = 1.39968 − 0.54420I
7.5384 + 18.5486I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.13918 + 1.26493I
a = 1.43226 + 0.45253I
b = 1.175520 − 0.398048I
9.79810 + 3.83465I 0
u = 1.13918 − 1.26493I
a = 1.43226 − 0.45253I
b = 1.175520 + 0.398048I
9.79810 − 3.83465I 0
u = 0.254512 + 0.147816I
a = −1.96888 − 7.45158I
b = 0.882430 + 0.329821I
9.53051 − 7.93705I 6.98604 + 6.82257I
u = 0.254512 − 0.147816I
a = −1.96888 + 7.45158I
b = 0.882430 − 0.329821I
9.53051 + 7.93705I 6.98604 − 6.82257I
u = 1.29164 + 1.11912I
a = 1.281340 + 0.476994I
b = 1.38748 − 0.48196I
0.73747 + 13.98510I 0
u = 1.29164 − 1.11912I
a = 1.281340 − 0.476994I
b = 1.38748 + 0.48196I
0.73747 − 13.98510I 0
u = −1.29864 + 1.20884I
a = 1.333510 − 0.438800I
b = 1.330460 + 0.411568I
1.29402 − 7.90745I 0
u = −1.29864 − 1.20884I
a = 1.333510 + 0.438800I
b = 1.330460 − 0.411568I
1.29402 + 7.90745I 0
u = −0.193279 + 0.005870I
a = 5.89648 + 8.48690I
b = 1.090150 − 0.280523I
1.73678 + 4.67643I 0.44528 − 8.40035I
u = −0.193279 − 0.005870I
a = 5.89648 − 8.48690I
b = 1.090150 + 0.280523I
1.73678 − 4.67643I 0.44528 + 8.40035I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.52049 + 0.98628I
a = 0.640257 − 0.378084I
b = 1.100000 − 0.152001I
2.65701 + 4.12493I 0
u = −1.52049 − 0.98628I
a = 0.640257 + 0.378084I
b = 1.100000 + 0.152001I
2.65701 − 4.12493I 0
u = −1.07511 + 1.47313I
a = 1.291260 − 0.469674I
b = 1.120550 + 0.097386I
−1.48943 − 3.08194I 0
u = −1.07511 − 1.47313I
a = 1.291260 + 0.469674I
b = 1.120550 − 0.097386I
−1.48943 + 3.08194I 0
u = 0.0850834
a = 19.3001
b = 1.28315
−0.636876 −8.64910
u = −1.24844 + 1.45738I
a = −1.077590 + 0.267882I
b = −0.995158 − 0.410825I
10.31510 − 8.71832I 0
u = −1.24844 − 1.45738I
a = −1.077590 − 0.267882I
b = −0.995158 + 0.410825I
10.31510 + 8.71832I 0
u = 1.51783 + 1.25957I
a = 0.877847 + 0.397005I
b = 1.095860 + 0.037564I
−3.16810 − 1.11130I 0
u = 1.51783 − 1.25957I
a = 0.877847 − 0.397005I
b = 1.095860 − 0.037564I
−3.16810 + 1.11130I 0
u = 1.78363 + 0.99935I
a = −0.876459 − 0.225685I
b = −1.184950 + 0.253744I
1.56171 + 5.79220I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.78363 − 0.99935I
a = −0.876459 + 0.225685I
b = −1.184950 − 0.253744I
1.56171 − 5.79220I 0
u = −1.02132 + 1.97994I
a = −1.060770 + 0.244146I
b = −1.173330 + 0.192346I
6.19269 + 8.97681I 0
u = −1.02132 − 1.97994I
a = −1.060770 − 0.244146I
b = −1.173330 − 0.192346I
6.19269 − 8.97681I 0
u = −2.29921
a = −0.800696
b = −1.25229
−1.63615 0
u = 0.42467 + 2.60166I
a = −1.178370 − 0.095871I
b = −1.181760 − 0.066562I
−1.27831 − 3.65117I 0
u = 0.42467 − 2.60166I
a = −1.178370 + 0.095871I
b = −1.181760 + 0.066562I
−1.27831 + 3.65117I 0
17
II.
I
u
2
= h−9.31×10
30
u
29
−5.87×10
30
u
28
+· · ·+1.66×10
31
b+2.43×10
31
, −6.80×
10
30
u
29
−4.64×10
28
u
28
+· · ·+1.66×10
31
a−1.17×10
31
, u
30
+3u
28
+· · ·−2u−1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
10
=
0.408982u
29
+ 0.00279001u
28
+ ··· − 0.865665u + 0.705148
0.559425u
29
+ 0.352908u
28
+ ··· − 1.91710u − 1.46139
a
11
=
−0.150444u
29
− 0.350118u
28
+ ··· + 1.05144u + 2.16653
0.559425u
29
+ 0.352908u
28
+ ··· − 1.91710u − 1.46139
a
4
=
0.631698u
29
− 0.337157u
28
+ ··· − 2.37587u − 0.170958
−0.261323u
29
+ 0.359967u
28
+ ··· + 1.65254u + 0.0611976
a
12
=
0.505655u
29
+ 0.0189483u
28
+ ··· − 1.71634u + 0.355030
0.684292u
29
+ 0.410499u
28
+ ··· − 3.31133u − 1.83045
a
6
=
−0.656099u
29
− 0.369066u
28
+ ··· + 2.76778u + 1.81150
−0.717296u
29
− 0.107743u
28
+ ··· + 8.12094u + 0.281359
a
2
=
−0.111785u
29
− 0.373640u
28
+ ··· − 0.171511u + 0.0516526
−1.13073u
29
− 0.345447u
28
+ ··· + 7.46215u + 1.54600
a
1
=
0.133636u
29
+ 0.0259108u
28
+ ··· − 0.402225u − 1.87296
−1.44013u
29
− 0.443388u
28
+ ··· + 6.27926u + 2.84079
a
9
=
−0.224307u
29
− 0.406637u
28
+ ··· + 2.53311u + 1.88703
0.0163111u
29
− 0.141271u
28
+ ··· + 7.83141u + 0.131821
a
5
=
−0.441579u
29
+ 0.0141534u
28
+ ··· + 5.75176u + 0.914539
1.50701u
29
− 0.701106u
28
+ ··· − 1.41216u + 2.39433
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2.93750u
29
+ 0.566665u
28
+ ··· − 11.7656u − 9.96625
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
u
30
− 7u
29
+ ··· + 2u − 1
c
2
u
30
− u
29
+ ··· + u − 1
c
3
u
30
+ u
29
+ ··· + u − 1
c
4
u
30
+ 7u
29
+ ··· − 2u − 1
c
5
u
30
− u
28
+ ··· + 9u + 1
c
6
u
30
− 11u
28
+ ··· − 7u + 1
c
7
u
30
+ 3u
28
+ ··· − 2u − 1
c
8
u
30
− 2u
29
+ ··· + 7u + 1
c
9
u
30
− 3u
28
+ ··· − 6u + 1
c
10
u
30
− 11u
28
+ ··· + 7u + 1
c
11
u
30
+ 2u
29
+ ··· − 7u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
30
+ 31y
29
+ ··· − 2y + 1
c
2
y
30
+ 15y
29
+ ··· − 5y + 1
c
3
y
30
+ 7y
29
+ ··· + 17y + 1
c
5
y
30
− 2y
29
+ ··· − 43y + 1
c
6
, c
10
y
30
− 22y
29
+ ··· − 41y + 1
c
7
y
30
+ 6y
29
+ ··· + 12y + 1
c
8
, c
11
y
30
− 24y
29
+ ··· − 47y + 1
c
9
y
30
− 6y
29
+ ··· − 12y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.968871 + 0.153914I
a = −1.28150 − 0.79735I
b = 0.306889 + 0.008170I
9.97629 + 0.92279I 7.61000 + 0.86362I
u = −0.968871 − 0.153914I
a = −1.28150 + 0.79735I
b = 0.306889 − 0.008170I
9.97629 − 0.92279I 7.61000 − 0.86362I
u = 1.05413
a = −1.17543
b = 0.287645
4.77241 8.79810
u = −0.328973 + 0.834656I
a = 1.77870 − 0.31219I
b = 0.824589 − 0.435332I
4.67665 + 3.91583I 2.00351 − 5.87097I
u = −0.328973 − 0.834656I
a = 1.77870 + 0.31219I
b = 0.824589 + 0.435332I
4.67665 − 3.91583I 2.00351 + 5.87097I
u = 0.474952 + 0.740919I
a = 0.277967 + 0.157244I
b = −0.387661 − 0.457787I
1.68322 + 2.33964I 2.02886 − 3.38961I
u = 0.474952 − 0.740919I
a = 0.277967 − 0.157244I
b = −0.387661 + 0.457787I
1.68322 − 2.33964I 2.02886 + 3.38961I
u = −0.136327 + 0.836331I
a = 1.54318 + 0.00256I
b = 1.241290 + 0.535726I
−1.86751 − 2.87974I 7.67084 + 2.45201I
u = −0.136327 − 0.836331I
a = 1.54318 − 0.00256I
b = 1.241290 − 0.535726I
−1.86751 + 2.87974I 7.67084 − 2.45201I
u = 0.484813 + 0.640144I
a = 0.304608 + 0.180546I
b = −0.428906 − 0.575982I
1.68534 + 2.33725I 1.33131 − 5.36163I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.484813 − 0.640144I
a = 0.304608 − 0.180546I
b = −0.428906 + 0.575982I
1.68534 − 2.33725I 1.33131 + 5.36163I
u = −0.714419 + 0.312231I
a = 0.307777 − 0.312774I
b = −0.112584 + 1.259850I
4.08799 − 1.22951I −0.89391 + 7.81913I
u = −0.714419 − 0.312231I
a = 0.307777 + 0.312774I
b = −0.112584 − 1.259850I
4.08799 + 1.22951I −0.89391 − 7.81913I
u = 0.399686 + 1.168790I
a = −2.19609 − 0.76424I
b = −0.999520 + 0.218042I
8.33666 + 8.14846I 0.58023 − 6.81048I
u = 0.399686 − 1.168790I
a = −2.19609 + 0.76424I
b = −0.999520 − 0.218042I
8.33666 − 8.14846I 0.58023 + 6.81048I
u = 1.037940 + 0.729124I
a = −1.022700 − 0.746779I
b = −1.37988 + 0.60755I
0.09429 + 7.78871I −0.51342 − 8.15637I
u = 1.037940 − 0.729124I
a = −1.022700 + 0.746779I
b = −1.37988 − 0.60755I
0.09429 − 7.78871I −0.51342 + 8.15637I
u = −0.992045 + 0.991807I
a = −1.32009 + 0.72519I
b = −1.279010 − 0.434858I
−1.66843 − 6.66967I 0. + 4.76070I
u = −0.992045 − 0.991807I
a = −1.32009 − 0.72519I
b = −1.279010 + 0.434858I
−1.66843 + 6.66967I 0. − 4.76070I
u = 1.373940 + 0.316557I
a = 0.551323 + 0.186727I
b = 1.134530 − 0.287846I
0.29426 + 4.04989I −2.92859 − 4.03192I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.373940 − 0.316557I
a = 0.551323 − 0.186727I
b = 1.134530 + 0.287846I
0.29426 − 4.04989I −2.92859 + 4.03192I
u = 0.181115 + 0.514344I
a = 1.48060 + 0.11862I
b = 1.50859 − 0.85055I
1.47832 + 3.08446I −9.9286 − 12.0594I
u = 0.181115 − 0.514344I
a = 1.48060 − 0.11862I
b = 1.50859 + 0.85055I
1.47832 − 3.08446I −9.9286 + 12.0594I
u = −0.22873 + 1.56936I
a = −2.02184 + 0.20199I
b = −1.114750 − 0.071693I
−0.02684 − 3.55811I 2.75981 + 5.19461I
u = −0.22873 − 1.56936I
a = −2.02184 − 0.20199I
b = −1.114750 + 0.071693I
−0.02684 + 3.55811I 2.75981 − 5.19461I
u = −0.225585 + 0.343327I
a = 0.495340 − 0.154222I
b = −1.22770 + 0.78003I
7.92603 − 5.16630I −2.96820 + 0.66188I
u = −0.225585 − 0.343327I
a = 0.495340 + 0.154222I
b = −1.22770 − 0.78003I
7.92603 + 5.16630I −2.96820 − 0.66188I
u = −1.62107
a = 0.631163
b = 1.17688
−3.72267 −12.4220
u = −0.07402 + 1.68925I
a = 1.374850 + 0.059649I
b = 1.181860 + 0.116709I
−2.65752 − 2.44946I −7.43489 + 3.46303I
u = −0.07402 − 1.68925I
a = 1.374850 − 0.059649I
b = 1.181860 − 0.116709I
−2.65752 + 2.44946I −7.43489 − 3.46303I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
12
(u
30
− 7u
29
+ ··· + 2u − 1)(u
126
+ 6u
125
+ ··· − 46u + 1)
c
2
(u
30
− u
29
+ ··· + u − 1)(u
126
+ 6u
124
+ ··· + 153u − 1)
c
3
(u
30
+ u
29
+ ··· + u − 1)(u
126
+ 4u
124
+ ··· + 13u − 1)
c
4
(u
30
+ 7u
29
+ ··· − 2u − 1)(u
126
+ 6u
125
+ ··· − 46u + 1)
c
5
(u
30
− u
28
+ ··· + 9u + 1)
· (u
126
− 7u
125
+ ··· + 594874511u − 184550927)
c
6
(u
30
− 11u
28
+ ··· − 7u + 1)(u
126
+ u
125
+ ··· − 53u − 1)
c
7
(u
30
+ 3u
28
+ ··· − 2u − 1)(u
126
+ u
125
+ ··· − 132u + 11)
c
8
(u
30
− 2u
29
+ ··· + 7u + 1)(u
126
− 3u
125
+ ··· + 64815u − 21157)
c
9
(u
30
− 3u
28
+ ··· − 6u + 1)(u
126
− 3u
125
+ ··· − 15150u − 875)
c
10
(u
30
− 11u
28
+ ··· + 7u + 1)(u
126
+ u
125
+ ··· − 53u − 1)
c
11
(u
30
+ 2u
29
+ ··· − 7u + 1)(u
126
− 3u
125
+ ··· + 64815u − 21157)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
(y
30
+ 31y
29
+ ··· − 2y + 1)(y
126
+ 128y
125
+ ··· − 658y + 1)
c
2
(y
30
+ 15y
29
+ ··· − 5y + 1)(y
126
+ 12y
125
+ ··· − 25937y + 1)
c
3
(y
30
+ 7y
29
+ ··· + 17y + 1)(y
126
+ 8y
125
+ ··· − 539y + 1)
c
5
(y
30
− 2y
29
+ ··· − 43y + 1)
· (y
126
− 61y
125
+ ··· − 817860618458859723y + 34059044656559329)
c
6
, c
10
(y
30
− 22y
29
+ ··· − 41y + 1)(y
126
− 89y
125
+ ··· − 285y + 1)
c
7
(y
30
+ 6y
29
+ ··· + 12y + 1)(y
126
− y
125
+ ··· − 28336y + 121)
c
8
, c
11
(y
30
− 24y
29
+ ··· − 47y + 1)
· (y
126
− 107y
125
+ ··· + 8032458629y + 447618649)
c
9
(y
30
− 6y
29
+ ··· − 12y + 1)
· (y
126
− 13y
125
+ ··· − 211112500y + 765625)
25
