12a
1069
(K12a
1069
)
A knot diagram
1
Linearized knot diagam
4 7 9 1 12 3 11 2 5 8 6 10
Solving Sequence
1,5
4
2,10
9 3 8 12 6 7 11
c
4
c
1
c
9
c
3
c
8
c
12
c
5
c
6
c
11
c
2
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.51005 × 10
774
u
158
+ 1.44047 × 10
775
u
157
+ ··· + 1.24689 × 10
774
b + 4.06181 × 10
776
,
− 3.52571 × 10
776
u
158
+ 1.70406 × 10
777
u
157
+ ··· + 5.11223 × 10
775
a + 8.33651 × 10
778
,
u
159
− 5u
158
+ ··· − 1836u + 41i
I
u
2
= h−1.15427 × 10
39
u
41
− 3.52555 × 10
39
u
40
+ ··· + 2.16791 × 10
39
b + 3.15442 × 10
39
,
− 1.18323 × 10
38
u
41
+ 1.54707 × 10
39
u
40
+ ··· + 3.68545 × 10
40
a + 4.04012 × 10
41
,
u
42
+ 4u
41
+ ··· + 81u + 17i
* 2 irreducible components of dim
C
= 0, with total 201 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−3.51 × 10
774
u
158
+ 1.44 × 10
775
u
157
+ · · · + 1.25 × 10
774
b + 4.06 ×
10
776
, −3.53 × 10
776
u
158
+ 1.70 × 10
777
u
157
+ · · · + 5.11 × 10
775
a + 8.34 ×
10
778
, u
159
− 5u
158
+ · · · − 1836u + 41i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
10
=
6.89661u
158
− 33.3329u
157
+ ··· + 62395.2u − 1630.70
2.81505u
158
− 11.5525u
157
+ ··· + 12205.5u − 325.757
a
9
=
9.71167u
158
− 44.8855u
157
+ ··· + 74600.7u − 1956.46
2.81505u
158
− 11.5525u
157
+ ··· + 12205.5u − 325.757
a
3
=
12.2156u
158
− 58.2653u
157
+ ··· + 118758.u − 2988.83
−0.707859u
158
+ 4.12082u
157
+ ··· − 1849.09u + 41.7737
a
8
=
9.18241u
158
− 43.6668u
157
+ ··· + 78859.8u − 2060.49
2.35801u
158
− 9.73562u
157
+ ··· + 10545.6u − 280.259
a
12
=
−8.75638u
158
+ 42.9843u
157
+ ··· − 81724.3u + 2101.75
−2.38010u
158
+ 12.1412u
157
+ ··· − 20129.1u + 507.031
a
6
=
8.53022u
158
− 41.2871u
157
+ ··· + 59998.2u − 1469.69
−1.94140u
158
+ 9.07101u
157
+ ··· − 15520.2u + 397.134
a
7
=
10.0548u
158
− 50.2105u
157
+ ··· + 95588.8u − 2414.43
0.727499u
158
− 4.63539u
157
+ ··· + 16528.9u − 415.930
a
11
=
14.1659u
158
− 70.1808u
157
+ ··· + 124297.u − 3139.38
0.119106u
158
+ 0.550360u
157
+ ··· − 1796.57u + 44.4550
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.97728u
158
+ 30.2719u
157
+ ··· − 100238.u + 2580.10
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
159
− 5u
158
+ ··· − 1836u + 41
c
2
, c
6
u
159
+ 5u
158
+ ··· + 1580u + 304
c
3
u
159
+ u
158
+ ··· + 107562u + 9857
c
5
, c
11
u
159
− u
158
+ ··· + 76831096u + 4906757
c
7
, c
10
u
159
− 13u
158
+ ··· + 677715u + 119125
c
8
u
159
− u
158
+ ··· + 186934042u + 51574948
c
9
u
159
− 3u
158
+ ··· − 52u + 4
c
12
u
159
− 11u
158
+ ··· + 267u − 7
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
159
+ 115y
158
+ ··· + 133618y −1681
c
2
, c
6
y
159
+ 77y
158
+ ··· − 4109520y −92416
c
3
y
159
+ 29y
158
+ ··· − 3124719192y −97160449
c
5
, c
11
y
159
+ 121y
158
+ ··· − 799516959728630y −24076264257049
c
7
, c
10
y
159
+ 89y
158
+ ··· − 542898621275y −14190765625
c
8
y
159
+ 37y
158
+ ··· − 77763978165498852y −2659975261202704
c
9
y
159
− y
158
+ ··· + 232y −16
c
12
y
159
− 3y
158
+ ··· − 1021y −49
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.983003 + 0.097556I
a = −0.905981 + 0.783265I
b = 0.934039 − 0.432894I
−3.48952 + 3.13704I 0
u = −0.983003 − 0.097556I
a = −0.905981 − 0.783265I
b = 0.934039 + 0.432894I
−3.48952 − 3.13704I 0
u = 0.262735 + 0.984218I
a = 0.16813 + 2.67086I
b = 0.207483 − 0.022035I
−1.89883 − 9.65845I 0
u = 0.262735 − 0.984218I
a = 0.16813 − 2.67086I
b = 0.207483 + 0.022035I
−1.89883 + 9.65845I 0
u = −0.072291 + 1.016920I
a = 1.84966 − 0.36433I
b = −1.183920 − 0.349302I
−2.19049 − 2.79781I 0
u = −0.072291 − 1.016920I
a = 1.84966 + 0.36433I
b = −1.183920 + 0.349302I
−2.19049 + 2.79781I 0
u = −0.652432 + 0.783430I
a = −0.830407 + 0.000594I
b = 0.110772 − 0.942984I
−0.00445 + 3.94039I 0
u = −0.652432 − 0.783430I
a = −0.830407 − 0.000594I
b = 0.110772 + 0.942984I
−0.00445 − 3.94039I 0
u = −0.950490 + 0.166511I
a = −1.126060 + 0.618081I
b = 1.032190 − 0.478096I
−3.92600 + 3.26823I 0
u = −0.950490 − 0.166511I
a = −1.126060 − 0.618081I
b = 1.032190 + 0.478096I
−3.92600 − 3.26823I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.851291 + 0.434377I
a = 0.311298 + 0.923022I
b = −1.042790 − 0.658033I
−5.65361 − 5.39741I 0
u = −0.851291 − 0.434377I
a = 0.311298 − 0.923022I
b = −1.042790 + 0.658033I
−5.65361 + 5.39741I 0
u = 0.934381 + 0.185617I
a = 1.184470 + 0.642059I
b = −1.090390 − 0.698765I
−1.86192 − 7.90269I 0
u = 0.934381 − 0.185617I
a = 1.184470 − 0.642059I
b = −1.090390 + 0.698765I
−1.86192 + 7.90269I 0
u = −0.847254 + 0.622429I
a = −1.63548 + 0.29444I
b = 0.869924 − 0.384480I
−3.23728 + 4.12131I 0
u = −0.847254 − 0.622429I
a = −1.63548 − 0.29444I
b = 0.869924 + 0.384480I
−3.23728 − 4.12131I 0
u = 1.015730 + 0.311644I
a = −0.456332 − 0.250158I
b = 0.577816 + 0.440695I
2.95523 − 2.92644I 0
u = 1.015730 − 0.311644I
a = −0.456332 + 0.250158I
b = 0.577816 − 0.440695I
2.95523 + 2.92644I 0
u = 0.115278 + 1.067290I
a = −1.98050 + 0.59487I
b = 1.050540 + 0.384631I
−4.30533 − 3.63876I 0
u = 0.115278 − 1.067290I
a = −1.98050 − 0.59487I
b = 1.050540 − 0.384631I
−4.30533 + 3.63876I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.413513 + 0.992313I
a = −0.057299 − 0.888608I
b = 0.337087 − 0.064058I
−1.34325 + 1.67571I 0
u = −0.413513 − 0.992313I
a = −0.057299 + 0.888608I
b = 0.337087 + 0.064058I
−1.34325 − 1.67571I 0
u = 0.921357 + 0.023903I
a = −1.206310 − 0.280219I
b = 0.754672 + 0.729094I
1.17655 − 2.63113I 0
u = 0.921357 − 0.023903I
a = −1.206310 + 0.280219I
b = 0.754672 − 0.729094I
1.17655 + 2.63113I 0
u = −0.568235 + 0.923405I
a = 2.16017 + 0.32915I
b = −0.833918 + 0.365907I
−4.76772 + 1.69228I 0
u = −0.568235 − 0.923405I
a = 2.16017 − 0.32915I
b = −0.833918 − 0.365907I
−4.76772 − 1.69228I 0
u = −0.783936 + 0.763202I
a = −1.043350 − 0.257920I
b = 0.652172 + 0.119959I
−2.77404 + 2.12200I 0
u = −0.783936 − 0.763202I
a = −1.043350 + 0.257920I
b = 0.652172 − 0.119959I
−2.77404 − 2.12200I 0
u = −0.095068 + 1.101760I
a = −0.804842 + 0.168058I
b = 1.10857 + 1.09401I
2.15146 + 1.17756I 0
u = −0.095068 − 1.101760I
a = −0.804842 − 0.168058I
b = 1.10857 − 1.09401I
2.15146 − 1.17756I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.275780 + 1.079820I
a = −0.284380 + 0.013054I
b = 1.43790 − 0.36118I
4.15676 − 1.83454I 0
u = 0.275780 − 1.079820I
a = −0.284380 − 0.013054I
b = 1.43790 + 0.36118I
4.15676 + 1.83454I 0
u = 0.137011 + 1.109380I
a = 0.829175 + 0.017328I
b = −1.80619 + 0.82016I
2.76013 − 5.49964I 0
u = 0.137011 − 1.109380I
a = 0.829175 − 0.017328I
b = −1.80619 − 0.82016I
2.76013 + 5.49964I 0
u = 0.333959 + 1.067410I
a = −1.122490 + 0.566095I
b = 1.32230 + 1.26257I
−5.85781 − 5.61332I 0
u = 0.333959 − 1.067410I
a = −1.122490 − 0.566095I
b = 1.32230 − 1.26257I
−5.85781 + 5.61332I 0
u = 0.109084 + 1.121110I
a = 1.025720 − 0.430618I
b = −1.082320 − 0.873258I
2.49323 − 2.69223I 0
u = 0.109084 − 1.121110I
a = 1.025720 + 0.430618I
b = −1.082320 + 0.873258I
2.49323 + 2.69223I 0
u = −0.438082 + 1.045600I
a = 1.025350 + 0.431480I
b = −1.25068 + 1.43317I
−3.71389 + 10.11860I 0
u = −0.438082 − 1.045600I
a = 1.025350 − 0.431480I
b = −1.25068 − 1.43317I
−3.71389 − 10.11860I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.014654 + 1.139180I
a = −0.562738 + 0.315991I
b = 0.564706 + 1.116770I
3.22415 + 0.73688I 0
u = 0.014654 − 1.139180I
a = −0.562738 − 0.315991I
b = 0.564706 − 1.116770I
3.22415 − 0.73688I 0
u = 0.308295 + 1.096870I
a = 0.52699 − 1.40288I
b = −0.485566 − 0.753443I
1.18819 − 6.98145I 0
u = 0.308295 − 1.096870I
a = 0.52699 + 1.40288I
b = −0.485566 + 0.753443I
1.18819 + 6.98145I 0
u = −0.001128 + 1.140600I
a = −0.582365 − 0.382519I
b = 1.61446 − 1.64283I
5.93599 + 0.51307I 0
u = −0.001128 − 1.140600I
a = −0.582365 + 0.382519I
b = 1.61446 + 1.64283I
5.93599 − 0.51307I 0
u = −0.424052 + 1.062030I
a = −0.458241 − 0.851448I
b = 0.408574 − 0.585436I
−1.19827 + 2.83973I 0
u = −0.424052 − 1.062030I
a = −0.458241 + 0.851448I
b = 0.408574 + 0.585436I
−1.19827 − 2.83973I 0
u = 1.146040 + 0.106327I
a = −1.021420 − 0.625931I
b = 1.023560 + 0.708859I
−5.0798 − 14.2322I 0
u = 1.146040 − 0.106327I
a = −1.021420 + 0.625931I
b = 1.023560 − 0.708859I
−5.0798 + 14.2322I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.175515 + 0.818846I
a = −1.49084 + 0.98958I
b = −0.362976 + 0.223371I
−2.65407 + 3.80739I 0
u = −0.175515 − 0.818846I
a = −1.49084 − 0.98958I
b = −0.362976 − 0.223371I
−2.65407 − 3.80739I 0
u = −1.163510 + 0.077092I
a = 1.077740 − 0.553936I
b = −0.963438 + 0.632912I
−7.60337 + 7.20007I 0
u = −1.163510 − 0.077092I
a = 1.077740 + 0.553936I
b = −0.963438 − 0.632912I
−7.60337 − 7.20007I 0
u = −0.091768 + 1.179150I
a = 1.46092 + 1.48732I
b = −0.587165 + 0.834068I
0.68628 + 8.86779I 0
u = −0.091768 − 1.179150I
a = 1.46092 − 1.48732I
b = −0.587165 − 0.834068I
0.68628 − 8.86779I 0
u = 0.041123 + 1.184510I
a = −0.06731 − 1.55543I
b = −0.022792 − 1.314180I
4.14378 + 0.96316I 0
u = 0.041123 − 1.184510I
a = −0.06731 + 1.55543I
b = −0.022792 + 1.314180I
4.14378 − 0.96316I 0
u = 0.164864 + 1.174420I
a = −0.210654 + 0.060628I
b = 1.12081 − 2.09509I
0.64915 − 10.18830I 0
u = 0.164864 − 1.174420I
a = −0.210654 − 0.060628I
b = 1.12081 + 2.09509I
0.64915 + 10.18830I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.788660 + 0.106997I
a = 1.033770 + 0.690716I
b = −1.230520 − 0.630294I
−6.65504 + 1.64532I 0
u = −0.788660 − 0.106997I
a = 1.033770 − 0.690716I
b = −1.230520 + 0.630294I
−6.65504 − 1.64532I 0
u = 0.060722 + 1.211390I
a = 0.751741 + 0.958545I
b = −0.165253 + 0.832349I
7.43721 − 1.74221I 0
u = 0.060722 − 1.211390I
a = 0.751741 − 0.958545I
b = −0.165253 − 0.832349I
7.43721 + 1.74221I 0
u = 0.003687 + 1.217980I
a = 0.0700409 + 0.0402742I
b = −0.43571 + 2.54163I
4.75789 − 1.82912I 0
u = 0.003687 − 1.217980I
a = 0.0700409 − 0.0402742I
b = −0.43571 − 2.54163I
4.75789 + 1.82912I 0
u = −0.193386 + 1.207390I
a = 0.188401 + 0.037577I
b = −0.70698 − 1.63742I
−1.50086 + 4.59312I 0
u = −0.193386 − 1.207390I
a = 0.188401 − 0.037577I
b = −0.70698 + 1.63742I
−1.50086 − 4.59312I 0
u = 0.183793 + 1.213240I
a = 0.907044 − 0.142688I
b = −1.98948 − 0.42433I
2.90680 − 1.42079I 0
u = 0.183793 − 1.213240I
a = 0.907044 + 0.142688I
b = −1.98948 + 0.42433I
2.90680 + 1.42079I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.627098 + 0.447087I
a = −0.32854 + 1.40130I
b = 1.026920 − 0.606499I
−7.77749 + 1.91968I 0
u = 0.627098 − 0.447087I
a = −0.32854 − 1.40130I
b = 1.026920 + 0.606499I
−7.77749 − 1.91968I 0
u = −0.141977 + 1.221860I
a = −1.346330 − 0.415106I
b = 0.543036 − 0.570651I
5.04712 + 5.26418I 0
u = −0.141977 − 1.221860I
a = −1.346330 + 0.415106I
b = 0.543036 + 0.570651I
5.04712 − 5.26418I 0
u = 0.205971 + 0.738308I
a = 1.274430 − 0.591253I
b = −0.271927 − 1.170190I
0.331400 − 0.769003I 0
u = 0.205971 − 0.738308I
a = 1.274430 + 0.591253I
b = −0.271927 + 1.170190I
0.331400 + 0.769003I 0
u = 0.305069 + 1.197710I
a = −0.995342 + 0.829799I
b = 1.11872 + 1.27000I
−5.04299 − 6.15443I 0
u = 0.305069 − 1.197710I
a = −0.995342 − 0.829799I
b = 1.11872 − 1.27000I
−5.04299 + 6.15443I 0
u = −1.173300 + 0.393749I
a = −0.692357 + 0.098145I
b = 0.654865 − 0.086175I
−3.07709 + 2.26890I 0
u = −1.173300 − 0.393749I
a = −0.692357 − 0.098145I
b = 0.654865 + 0.086175I
−3.07709 − 2.26890I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.839621 + 0.918614I
a = 0.129052 − 0.621999I
b = −0.495009 + 0.268867I
0.40893 + 2.34033I 0
u = 0.839621 − 0.918614I
a = 0.129052 + 0.621999I
b = −0.495009 − 0.268867I
0.40893 − 2.34033I 0
u = 0.175189 + 1.246850I
a = −0.862744 − 1.003070I
b = −0.140349 − 0.100770I
2.85087 − 4.08721I 0
u = 0.175189 − 1.246850I
a = −0.862744 + 1.003070I
b = −0.140349 + 0.100770I
2.85087 + 4.08721I 0
u = −0.067340 + 1.270330I
a = 0.408550 + 0.069827I
b = −1.02840 + 1.27400I
4.29299 + 2.61263I 0
u = −0.067340 − 1.270330I
a = 0.408550 − 0.069827I
b = −1.02840 − 1.27400I
4.29299 − 2.61263I 0
u = −0.397277 + 1.212520I
a = 0.817384 + 0.679351I
b = −1.18154 + 1.29689I
−3.24632 + 2.67324I 0
u = −0.397277 − 1.212520I
a = 0.817384 − 0.679351I
b = −1.18154 − 1.29689I
−3.24632 − 2.67324I 0
u = 0.493189 + 0.516484I
a = −2.65853 − 0.71851I
b = 0.915593 + 0.059259I
−3.11486 + 6.45315I 0
u = 0.493189 − 0.516484I
a = −2.65853 + 0.71851I
b = 0.915593 − 0.059259I
−3.11486 − 6.45315I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.092930 + 1.300000I
a = −0.870612 − 0.111977I
b = 1.96085 − 0.60001I
3.04844 + 6.27130I 0
u = −0.092930 − 1.300000I
a = −0.870612 + 0.111977I
b = 1.96085 + 0.60001I
3.04844 − 6.27130I 0
u = −0.685448
a = 0.468053
b = −0.597021
−1.12036 0
u = 0.638524 + 0.179656I
a = 1.38306 + 0.75692I
b = −0.468998 − 0.759543I
0.201716 − 1.058600I 0
u = 0.638524 − 0.179656I
a = 1.38306 − 0.75692I
b = −0.468998 + 0.759543I
0.201716 + 1.058600I 0
u = 1.349190 + 0.002299I
a = 0.236669 + 0.472121I
b = −0.384410 − 0.523118I
0.56968 − 6.99452I 0
u = 1.349190 − 0.002299I
a = 0.236669 − 0.472121I
b = −0.384410 + 0.523118I
0.56968 + 6.99452I 0
u = 0.623931 + 0.163788I
a = −1.17478 + 1.22579I
b = 1.088520 − 0.784829I
−8.22040 + 2.67993I 0
u = 0.623931 − 0.163788I
a = −1.17478 − 1.22579I
b = 1.088520 + 0.784829I
−8.22040 − 2.67993I 0
u = −0.321401 + 1.319470I
a = 0.681363 − 0.509348I
b = 0.0567607 + 0.0911619I
0.52301 + 1.73785I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.321401 − 1.319470I
a = 0.681363 + 0.509348I
b = 0.0567607 − 0.0911619I
0.52301 − 1.73785I 0
u = 0.554273 + 0.320207I
a = 1.57099 − 0.15035I
b = −0.860666 + 0.543631I
−1.10054 + 3.56270I 0
u = 0.554273 − 0.320207I
a = 1.57099 + 0.15035I
b = −0.860666 − 0.543631I
−1.10054 − 3.56270I 0
u = 0.415920 + 1.306080I
a = 1.153440 − 0.436132I
b = −0.97988 − 1.02084I
4.47440 − 5.26538I 0
u = 0.415920 − 1.306080I
a = 1.153440 + 0.436132I
b = −0.97988 + 1.02084I
4.47440 + 5.26538I 0
u = −0.392121 + 0.458186I
a = 1.93038 + 1.72825I
b = −0.217180 − 0.544416I
−5.79139 + 2.57763I 0
u = −0.392121 − 0.458186I
a = 1.93038 − 1.72825I
b = −0.217180 + 0.544416I
−5.79139 − 2.57763I 0
u = 0.498152 + 1.314960I
a = −1.203800 + 0.678645I
b = 0.889094 + 0.878136I
5.24891 − 7.76605I 0
u = 0.498152 − 1.314960I
a = −1.203800 − 0.678645I
b = 0.889094 − 0.878136I
5.24891 + 7.76605I 0
u = 0.585696 + 0.036722I
a = 1.47684 + 1.80006I
b = −0.980896 − 0.162976I
−0.90081 + 1.24163I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.585696 − 0.036722I
a = 1.47684 − 1.80006I
b = −0.980896 + 0.162976I
−0.90081 − 1.24163I 0
u = −0.068886 + 0.576147I
a = 1.70741 + 2.63697I
b = 0.129075 − 0.386641I
−5.84260 + 2.58738I 0
u = −0.068886 − 0.576147I
a = 1.70741 − 2.63697I
b = 0.129075 + 0.386641I
−5.84260 − 2.58738I 0
u = −0.66516 + 1.27037I
a = 0.479731 − 0.091818I
b = −0.327478 + 1.014060I
1.45416 + 2.12787I 0
u = −0.66516 − 1.27037I
a = 0.479731 + 0.091818I
b = −0.327478 − 1.014060I
1.45416 − 2.12787I 0
u = −0.40090 + 1.37697I
a = 0.651150 + 0.196026I
b = −0.781934 + 0.978337I
3.54829 + 4.04462I 0
u = −0.40090 − 1.37697I
a = 0.651150 − 0.196026I
b = −0.781934 − 0.978337I
3.54829 − 4.04462I 0
u = 0.42828 + 1.38045I
a = 0.986656 − 0.485942I
b = −1.28510 − 1.20208I
3.01513 − 12.78290I 0
u = 0.42828 − 1.38045I
a = 0.986656 + 0.485942I
b = −1.28510 + 1.20208I
3.01513 + 12.78290I 0
u = −0.45030 + 1.38547I
a = −0.946219 − 0.390744I
b = 1.31288 − 1.02610I
0.90900 + 8.31060I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.45030 − 1.38547I
a = −0.946219 + 0.390744I
b = 1.31288 + 1.02610I
0.90900 − 8.31060I 0
u = −0.48041 + 1.37776I
a = −0.975494 − 0.279077I
b = 1.26991 − 0.97916I
1.16979 + 8.39778I 0
u = −0.48041 − 1.37776I
a = −0.975494 + 0.279077I
b = 1.26991 + 0.97916I
1.16979 − 8.39778I 0
u = 0.44758 + 1.39307I
a = −0.751781 + 0.296963I
b = 0.791040 + 1.125350I
8.08346 − 8.06603I 0
u = 0.44758 − 1.39307I
a = −0.751781 − 0.296963I
b = 0.791040 − 1.125350I
8.08346 + 8.06603I 0
u = 0.38990 + 1.43821I
a = −0.730918 + 0.084514I
b = 0.613687 + 0.897211I
6.36186 + 0.98726I 0
u = 0.38990 − 1.43821I
a = −0.730918 − 0.084514I
b = 0.613687 − 0.897211I
6.36186 − 0.98726I 0
u = −0.53639 + 1.39454I
a = 1.115380 + 0.437471I
b = −1.19992 + 1.00998I
−3.00880 + 13.13970I 0
u = −0.53639 − 1.39454I
a = 1.115380 − 0.437471I
b = −1.19992 − 1.00998I
−3.00880 − 13.13970I 0
u = 0.52415 + 1.40394I
a = −1.075370 + 0.419853I
b = 1.23933 + 1.14077I
−0.3631 − 20.0880I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.52415 − 1.40394I
a = −1.075370 − 0.419853I
b = 1.23933 − 1.14077I
−0.3631 + 20.0880I 0
u = 0.78386 + 1.29449I
a = −0.368549 − 0.250869I
b = −0.029000 + 0.866927I
2.18628 − 4.71388I 0
u = 0.78386 − 1.29449I
a = −0.368549 + 0.250869I
b = −0.029000 − 0.866927I
2.18628 + 4.71388I 0
u = 0.56334 + 1.40577I
a = 0.858617 − 0.116384I
b = −0.798105 − 1.152220I
5.1032 − 13.4075I 0
u = 0.56334 − 1.40577I
a = 0.858617 + 0.116384I
b = −0.798105 + 1.152220I
5.1032 + 13.4075I 0
u = −0.53614 + 1.42235I
a = −0.832917 − 0.189352I
b = 0.930177 − 0.916480I
2.14861 + 8.38014I 0
u = −0.53614 − 1.42235I
a = −0.832917 + 0.189352I
b = 0.930177 + 0.916480I
2.14861 − 8.38014I 0
u = 0.55182 + 1.43665I
a = 0.702511 − 0.178622I
b = −0.542462 − 0.679018I
6.93660 − 4.06539I 0
u = 0.55182 − 1.43665I
a = 0.702511 + 0.178622I
b = −0.542462 + 0.679018I
6.93660 + 4.06539I 0
u = −0.24583 + 1.53378I
a = 0.096647 + 0.152461I
b = −0.841106 + 0.024861I
−1.57240 + 5.29281I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.24583 − 1.53378I
a = 0.096647 − 0.152461I
b = −0.841106 − 0.024861I
−1.57240 − 5.29281I 0
u = −0.07347 + 1.57793I
a = −0.0055723 + 0.0748554I
b = 0.512308 − 0.529277I
−2.50325 + 0.52259I 0
u = −0.07347 − 1.57793I
a = −0.0055723 − 0.0748554I
b = 0.512308 + 0.529277I
−2.50325 − 0.52259I 0
u = 0.69484 + 1.49428I
a = 0.1163650 − 0.0367404I
b = 0.058594 − 0.519606I
4.39139 − 3.08591I 0
u = 0.69484 − 1.49428I
a = 0.1163650 + 0.0367404I
b = 0.058594 + 0.519606I
4.39139 + 3.08591I 0
u = 0.078235 + 0.330652I
a = −2.00415 − 2.43245I
b = −0.463036 − 0.698113I
0.58397 + 4.12730I −3.12752 + 0.I
u = 0.078235 − 0.330652I
a = −2.00415 + 2.43245I
b = −0.463036 + 0.698113I
0.58397 − 4.12730I −3.12752 + 0.I
u = −1.07505 + 1.35317I
a = 0.342857 + 0.157488I
b = −0.451365 − 0.017632I
−3.76179 − 0.02034I 0
u = −1.07505 − 1.35317I
a = 0.342857 − 0.157488I
b = −0.451365 + 0.017632I
−3.76179 + 0.02034I 0
u = 0.238884 + 0.124762I
a = 0.63081 − 2.67236I
b = −0.290491 + 0.487440I
−0.148131 + 1.207840I −2.19870 − 5.17018I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.238884 − 0.124762I
a = 0.63081 + 2.67236I
b = −0.290491 − 0.487440I
−0.148131 − 1.207840I −2.19870 + 5.17018I
u = 0.166621 + 0.185800I
a = 0.95638 + 2.22791I
b = 0.616862 + 0.760616I
3.45674 − 0.87795I 1.86658 + 1.01871I
u = 0.166621 − 0.185800I
a = 0.95638 − 2.22791I
b = 0.616862 − 0.760616I
3.45674 + 0.87795I 1.86658 − 1.01871I
u = 0.96925 + 1.47982I
a = −0.093239 + 0.316891I
b = 0.372785 − 0.219387I
−1.35274 + 7.26986I 0
u = 0.96925 − 1.47982I
a = −0.093239 − 0.316891I
b = 0.372785 + 0.219387I
−1.35274 − 7.26986I 0
u = 0.172385 + 0.012383I
a = −6.09281 + 2.71249I
b = 0.090425 + 1.186450I
−2.62528 + 8.53698I −7.49126 − 6.37559I
u = 0.172385 − 0.012383I
a = −6.09281 − 2.71249I
b = 0.090425 − 1.186450I
−2.62528 − 8.53698I −7.49126 + 6.37559I
u = 0.1057590 + 0.0737803I
a = 5.55307 − 3.26489I
b = −0.261151 + 1.329370I
0.99976 − 1.55017I −12.8866 + 6.4508I
u = 0.1057590 − 0.0737803I
a = 5.55307 + 3.26489I
b = −0.261151 − 1.329370I
0.99976 + 1.55017I −12.8866 − 6.4508I
20
II. I
u
2
= h−1.15 × 10
39
u
41
− 3.53 × 10
39
u
40
+ · · · + 2.17 × 10
39
b + 3.15 ×
10
39
, −1.18 × 10
38
u
41
+ 1.55 × 10
39
u
40
+ · · · + 3.69 × 10
40
a + 4.04 ×
10
41
, u
42
+ 4u
41
+ · · · + 81u + 17i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
10
=
0.00321054u
41
− 0.0419777u
40
+ ··· − 43.8946u − 10.9624
0.532436u
41
+ 1.62624u
40
+ ··· − 6.55696u − 1.45505
a
9
=
0.535647u
41
+ 1.58426u
40
+ ··· − 50.4515u − 12.4174
0.532436u
41
+ 1.62624u
40
+ ··· − 6.55696u − 1.45505
a
3
=
0.720897u
41
+ 3.79303u
40
+ ··· + 116.849u + 28.6336
0.434780u
41
+ 1.97591u
40
+ ··· + 8.41708u − 0.570204
a
8
=
0.440941u
41
+ 1.55946u
40
+ ··· − 28.2727u − 7.63176
0.461395u
41
+ 1.48776u
40
+ ··· − 1.66983u − 0.222298
a
12
=
1.67765u
41
+ 6.12142u
40
+ ··· + 107.858u + 13.8181
−0.176665u
41
− 0.879023u
40
+ ··· − 40.1965u − 8.08224
a
6
=
0.0267821u
41
− 1.22935u
40
+ ··· − 167.678u − 45.0412
−0.228990u
41
− 0.809988u
40
+ ··· − 3.01893u + 1.21038
a
7
=
−0.0121322u
41
− 1.14435u
40
+ ··· − 115.093u − 25.0341
0.130482u
41
+ 0.00364144u
40
+ ··· − 22.9016u − 5.43090
a
11
=
−1.32410u
41
− 5.01900u
40
+ ··· − 75.9670u − 13.5258
0.183475u
41
+ 0.778658u
40
+ ··· + 34.7395u + 8.44363
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.146197u
41
− 0.324938u
40
+ ··· − 276.613u − 73.7912
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
42
− 4u
41
+ ··· − 81u + 17
c
2
u
42
+ 11u
40
+ ··· + 2u + 1
c
3
u
42
+ 11u
40
+ ··· + 11u + 7
c
4
u
42
+ 4u
41
+ ··· + 81u + 17
c
5
u
42
+ 17u
40
+ ··· − 29u + 7
c
6
u
42
+ 11u
40
+ ··· − 2u + 1
c
7
u
42
+ 14u
41
+ ··· + 6u + 1
c
8
u
42
+ 5u
40
+ ··· − 18u + 52
c
9
u
42
− 2u
41
+ ··· − 2u + 1
c
10
u
42
− 14u
41
+ ··· − 6u + 1
c
11
u
42
+ 17u
40
+ ··· + 29u + 7
c
12
u
42
+ 4u
41
+ ··· − 2u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
42
+ 32y
41
+ ··· + 5033y + 289
c
2
, c
6
y
42
+ 22y
41
+ ··· + 36y + 1
c
3
y
42
+ 22y
41
+ ··· + 831y + 49
c
5
, c
11
y
42
+ 34y
41
+ ··· + 1525y + 49
c
7
, c
10
y
42
+ 22y
41
+ ··· + 34y + 1
c
8
y
42
+ 10y
41
+ ··· + 17252y + 2704
c
9
y
42
+ 4y
41
+ ··· − 4y + 1
c
12
y
42
− 6y
41
+ ··· − 24y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.177507 + 1.038360I
a = −0.53302 + 1.71536I
b = 0.083694 + 1.176670I
−0.95356 − 9.33719I −2.51720 + 7.45962I
u = 0.177507 − 1.038360I
a = −0.53302 − 1.71536I
b = 0.083694 − 1.176670I
−0.95356 + 9.33719I −2.51720 − 7.45962I
u = 0.415273 + 0.843469I
a = 0.622887 − 0.460957I
b = 0.525152 − 0.624112I
0.94304 − 5.21125I −3.09219 + 7.08610I
u = 0.415273 − 0.843469I
a = 0.622887 + 0.460957I
b = 0.525152 + 0.624112I
0.94304 + 5.21125I −3.09219 − 7.08610I
u = −0.877495 + 0.325029I
a = −1.28210 + 0.79585I
b = 0.942760 − 0.345368I
−3.77128 + 3.72501I −14.8385 − 7.3153I
u = −0.877495 − 0.325029I
a = −1.28210 − 0.79585I
b = 0.942760 + 0.345368I
−3.77128 − 3.72501I −14.8385 + 7.3153I
u = −0.455701 + 0.974672I
a = −0.641482 − 0.358792I
b = 0.095292 − 1.155930I
0.08759 + 2.04022I −4.88431 − 2.95356I
u = −0.455701 − 0.974672I
a = −0.641482 + 0.358792I
b = 0.095292 + 1.155930I
0.08759 − 2.04022I −4.88431 + 2.95356I
u = 0.897026 + 0.019644I
a = 0.994690 − 0.227604I
b = −0.653506 + 0.593956I
2.00876 + 2.22004I −1.28204 − 1.88845I
u = 0.897026 − 0.019644I
a = 0.994690 + 0.227604I
b = −0.653506 − 0.593956I
2.00876 − 2.22004I −1.28204 + 1.88845I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.192699 + 1.112400I
a = 0.722423 + 0.030492I
b = −1.72294 − 0.16805I
4.91016 − 1.83612I 5.58844 + 4.38656I
u = 0.192699 − 1.112400I
a = 0.722423 − 0.030492I
b = −1.72294 + 0.16805I
4.91016 + 1.83612I 5.58844 − 4.38656I
u = 0.000907 + 1.157010I
a = −0.202101 − 1.150900I
b = 0.39397 − 1.70704I
3.65086 − 1.55590I −4.60753 + 5.05925I
u = 0.000907 − 1.157010I
a = −0.202101 + 1.150900I
b = 0.39397 + 1.70704I
3.65086 + 1.55590I −4.60753 − 5.05925I
u = −0.276679 + 1.156370I
a = 1.005910 + 0.755285I
b = −1.19122 + 1.32546I
−5.01608 + 5.53547I 0
u = −0.276679 − 1.156370I
a = 1.005910 − 0.755285I
b = −1.19122 − 1.32546I
−5.01608 − 5.53547I 0
u = 0.055611 + 1.192060I
a = 0.019376 + 0.254234I
b = −0.65828 + 1.83295I
5.88067 − 0.30931I 4.94345 + 3.26765I
u = 0.055611 − 1.192060I
a = 0.019376 − 0.254234I
b = −0.65828 − 1.83295I
5.88067 + 0.30931I 4.94345 − 3.26765I
u = −0.298591 + 0.732730I
a = 2.77350 + 0.84337I
b = −0.762797 + 0.459269I
−5.89545 + 3.57429I −11.92200 − 7.20922I
u = −0.298591 − 0.732730I
a = 2.77350 − 0.84337I
b = −0.762797 − 0.459269I
−5.89545 − 3.57429I −11.92200 + 7.20922I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.091394 + 1.230230I
a = −0.877968 − 0.325600I
b = 1.43775 − 0.29240I
3.88386 + 4.33701I 0. − 4.25214I
u = −0.091394 − 1.230230I
a = −0.877968 + 0.325600I
b = 1.43775 + 0.29240I
3.88386 − 4.33701I 0. + 4.25214I
u = −0.952541 + 0.820825I
a = −0.866623 − 0.338357I
b = 0.539863 − 0.023823I
−2.63199 + 2.64152I 0. − 11.34211I
u = −0.952541 − 0.820825I
a = −0.866623 + 0.338357I
b = 0.539863 + 0.023823I
−2.63199 − 2.64152I 0. + 11.34211I
u = 0.634034 + 1.118800I
a = −0.282550 + 0.453543I
b = 0.021041 − 0.378934I
−1.09907 + 6.94051I 0
u = 0.634034 − 1.118800I
a = −0.282550 − 0.453543I
b = 0.021041 + 0.378934I
−1.09907 − 6.94051I 0
u = −0.419292 + 0.477419I
a = −2.54201 + 1.21412I
b = 0.898914 − 0.190619I
−3.86598 + 3.59042I −11.71501 − 4.15721I
u = −0.419292 − 0.477419I
a = −2.54201 − 1.21412I
b = 0.898914 + 0.190619I
−3.86598 − 3.59042I −11.71501 + 4.15721I
u = −0.531644 + 0.339676I
a = 0.51338 + 1.61819I
b = −1.050620 − 0.697940I
−7.57639 − 2.39812I −2.01915 + 5.58226I
u = −0.531644 − 0.339676I
a = 0.51338 − 1.61819I
b = −1.050620 + 0.697940I
−7.57639 + 2.39812I −2.01915 − 5.58226I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.485808 + 1.317800I
a = 1.082370 − 0.607471I
b = −0.874758 − 0.894649I
6.03124 − 7.26421I 0
u = 0.485808 − 1.317800I
a = 1.082370 + 0.607471I
b = −0.874758 + 0.894649I
6.03124 + 7.26421I 0
u = −0.64017 + 1.32694I
a = 0.379230 − 0.116595I
b = −0.334455 + 0.899017I
1.24930 + 3.20001I 0
u = −0.64017 − 1.32694I
a = 0.379230 + 0.116595I
b = −0.334455 − 0.899017I
1.24930 − 3.20001I 0
u = −0.45557 + 1.40673I
a = −0.936812 − 0.252613I
b = 1.35678 − 0.95016I
1.41752 + 8.70993I 0
u = −0.45557 − 1.40673I
a = −0.936812 + 0.252613I
b = 1.35678 + 0.95016I
1.41752 − 8.70993I 0
u = 0.169557 + 0.453872I
a = 0.576472 − 1.255610I
b = 0.201562 + 0.961033I
1.48316 + 1.29777I 1.313603 + 0.490451I
u = 0.169557 − 0.453872I
a = 0.576472 + 1.255610I
b = 0.201562 − 0.961033I
1.48316 − 1.29777I 1.313603 − 0.490451I
u = −0.82853 + 1.32612I
a = 0.434282 + 0.294845I
b = −0.309225 − 0.051261I
−3.54732 + 0.07871I 0
u = −0.82853 − 1.32612I
a = 0.434282 − 0.294845I
b = −0.309225 + 0.051261I
−3.54732 − 0.07871I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.79918 + 1.49522I
a = −0.253977 + 0.006076I
b = 0.061027 + 0.501617I
4.45589 − 3.26144I 0
u = 0.79918 − 1.49522I
a = −0.253977 − 0.006076I
b = 0.061027 − 0.501617I
4.45589 + 3.26144I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
42
− 4u
41
+ ··· − 81u + 17)(u
159
− 5u
158
+ ··· − 1836u + 41)
c
2
(u
42
+ 11u
40
+ ··· + 2u + 1)(u
159
+ 5u
158
+ ··· + 1580u + 304)
c
3
(u
42
+ 11u
40
+ ··· + 11u + 7)(u
159
+ u
158
+ ··· + 107562u + 9857)
c
4
(u
42
+ 4u
41
+ ··· + 81u + 17)(u
159
− 5u
158
+ ··· − 1836u + 41)
c
5
(u
42
+ 17u
40
+ ··· − 29u + 7)
· (u
159
− u
158
+ ··· + 76831096u + 4906757)
c
6
(u
42
+ 11u
40
+ ··· − 2u + 1)(u
159
+ 5u
158
+ ··· + 1580u + 304)
c
7
(u
42
+ 14u
41
+ ··· + 6u + 1)(u
159
− 13u
158
+ ··· + 677715u + 119125)
c
8
(u
42
+ 5u
40
+ ··· − 18u + 52)
· (u
159
− u
158
+ ··· + 186934042u + 51574948)
c
9
(u
42
− 2u
41
+ ··· − 2u + 1)(u
159
− 3u
158
+ ··· − 52u + 4)
c
10
(u
42
− 14u
41
+ ··· − 6u + 1)(u
159
− 13u
158
+ ··· + 677715u + 119125)
c
11
(u
42
+ 17u
40
+ ··· + 29u + 7)
· (u
159
− u
158
+ ··· + 76831096u + 4906757)
c
12
(u
42
+ 4u
41
+ ··· − 2u + 1)(u
159
− 11u
158
+ ··· + 267u − 7)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
42
+ 32y
41
+ ··· + 5033y + 289)
· (y
159
+ 115y
158
+ ··· + 133618y −1681)
c
2
, c
6
(y
42
+ 22y
41
+ ··· + 36y + 1)
· (y
159
+ 77y
158
+ ··· − 4109520y −92416)
c
3
(y
42
+ 22y
41
+ ··· + 831y + 49)
· (y
159
+ 29y
158
+ ··· − 3124719192y −97160449)
c
5
, c
11
(y
42
+ 34y
41
+ ··· + 1525y + 49)
· (y
159
+ 121y
158
+ ··· − 799516959728630y −24076264257049)
c
7
, c
10
(y
42
+ 22y
41
+ ··· + 34y + 1)
· (y
159
+ 89y
158
+ ··· − 542898621275y −14190765625)
c
8
(y
42
+ 10y
41
+ ··· + 17252y + 2704)
· (y
159
+ 37y
158
+ ··· − 77763978165498852y −2659975261202704)
c
9
(y
42
+ 4y
41
+ ··· − 4y + 1)(y
159
− y
158
+ ··· + 232y −16)
c
12
(y
42
− 6y
41
+ ··· − 24y + 1)(y
159
− 3y
158
+ ··· − 1021y −49)
32
