12a
1086
(K12a
1086
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 9 11 3 12 2 8 6 5
Solving Sequence
2,7
3
8,11
6 12 10 4 1 9 5
c
2
c
7
c
6
c
11
c
10
c
3
c
1
c
9
c
5
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h7.29262 × 10
443
u
125
− 3.61065 × 10
443
u
124
+ ··· + 4.91844 × 10
444
b − 2.41481 × 10
445
,
2.10816 × 10
445
u
125
− 1.92271 × 10
446
u
124
+ ··· + 2.30675 × 10
447
a + 1.44340 × 10
449
,
u
126
− 35u
124
+ ··· − 458u + 469i
I
u
2
= h−296542176u
26
− 86696195u
25
+ ··· + 6531331b − 615569144,
281791343u
26
+ 29749729u
25
+ ··· + 6531331a + 697900612, u
27
+ u
26
+ ··· − 11u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 153 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
= h7.29 × 10
443
u
125
− 3.61 × 10
443
u
124
+ · · · + 4.92 × 10
444
b − 2.41 ×
10
445
, 2.11 × 10
445
u
125
− 1.92 × 10
446
u
124
+ · · · + 2.31 × 10
447
a + 1.44 ×
10
449
, u
126
− 35u
124
+ · · · − 458u + 469i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
8
=
u
−u
3
+ u
a
11
=
−0.00913910u
125
+ 0.0833514u
124
+ ··· + 86.9145u − 62.5728
−0.148271u
125
+ 0.0734106u
124
+ ··· + 45.8341u + 4.90970
a
6
=
−0.173676u
125
+ 0.157828u
124
+ ··· + 114.206u − 76.3215
0.269095u
125
− 0.211516u
124
+ ··· − 279.017u + 118.949
a
12
=
−0.119400u
125
− 0.0244234u
124
+ ··· − 84.3500u + 77.2817
−0.0890187u
125
+ 0.0626953u
124
+ ··· + 97.8027u − 54.2732
a
10
=
0.126665u
125
+ 0.00735830u
124
+ ··· + 25.1865u − 54.6294
−0.145609u
125
+ 0.105822u
124
+ ··· + 82.6032u − 22.7877
a
4
=
−0.123590u
125
+ 0.0879692u
124
+ ··· + 96.7714u − 28.0209
−0.0488947u
125
+ 0.0609753u
124
+ ··· − 37.4180u + 8.66197
a
1
=
−0.654817u
125
+ 0.426479u
124
+ ··· + 717.830u − 300.066
0.0260049u
125
− 0.0344322u
124
+ ··· − 33.4096u + 18.5684
a
9
=
−0.0189436u
125
+ 0.113181u
124
+ ··· + 107.790u − 77.4171
−0.145609u
125
+ 0.105822u
124
+ ··· + 82.6032u − 22.7877
a
5
=
−0.144394u
125
+ 0.183768u
124
+ ··· + 161.092u − 116.204
−0.159305u
125
+ 0.168067u
124
+ ··· + 89.4490u − 53.8466
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0165479u
125
− 0.311309u
124
+ ··· − 172.863u + 172.842
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
12
u
126
− 5u
125
+ ··· + 30u − 1
c
2
, c
7
u
126
− 35u
124
+ ··· − 458u + 469
c
3
u
126
+ u
125
+ ··· + 1130931u − 66457
c
5
u
126
− 7u
125
+ ··· + 106u − 7
c
6
, c
11
u
126
− u
125
+ ··· − 68860u − 3292
c
8
u
126
− 9u
124
+ ··· + 3761u + 521
c
9
u
126
− 3u
125
+ ··· + 15229088u − 1636828
c
10
u
126
− 12u
125
+ ··· − 1879129u + 1027873
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
126
+ 137y
125
+ ··· − 46y + 1
c
2
, c
7
y
126
− 70y
125
+ ··· − 1412280y + 219961
c
3
y
126
+ 51y
125
+ ··· + 129805452721y + 4416532849
c
5
y
126
− 7y
125
+ ··· + 5088y + 49
c
6
, c
11
y
126
+ 93y
125
+ ··· − 118823008y + 10837264
c
8
y
126
− 18y
125
+ ··· − 15152735y + 271441
c
9
y
126
+ 35y
125
+ ··· − 24617509435312y + 2679205901584
c
10
y
126
− 14y
125
+ ··· − 60668343049755y + 1056522904129
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.970623 + 0.109965I
a = 0.36667 − 1.47144I
b = 1.76970 + 0.73739I
7.09581 − 0.46489I 0
u = −0.970623 − 0.109965I
a = 0.36667 + 1.47144I
b = 1.76970 − 0.73739I
7.09581 + 0.46489I 0
u = 0.942405 + 0.256456I
a = −0.96158 − 1.33084I
b = −1.57738 + 0.21976I
−1.55700 + 2.33827I 0
u = 0.942405 − 0.256456I
a = −0.96158 + 1.33084I
b = −1.57738 − 0.21976I
−1.55700 − 2.33827I 0
u = −0.966945 + 0.376641I
a = 1.000970 − 0.967740I
b = 1.71337 + 0.09779I
−2.75117 − 6.67930I 0
u = −0.966945 − 0.376641I
a = 1.000970 + 0.967740I
b = 1.71337 − 0.09779I
−2.75117 + 6.67930I 0
u = −0.857152 + 0.424347I
a = −0.517437 + 1.016120I
b = −2.03199 − 0.05964I
−3.04889 − 1.45471I 0
u = −0.857152 − 0.424347I
a = −0.517437 − 1.016120I
b = −2.03199 + 0.05964I
−3.04889 + 1.45471I 0
u = −0.908345 + 0.289800I
a = −0.241354 + 1.041250I
b = −2.21506 + 1.30506I
4.19848 + 4.73980I 0
u = −0.908345 − 0.289800I
a = −0.241354 − 1.041250I
b = −2.21506 − 1.30506I
4.19848 − 4.73980I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.092548 + 0.944929I
a = 0.021337 + 0.949815I
b = 0.490137 + 0.965918I
0.62819 + 3.35726I 0
u = 0.092548 − 0.944929I
a = 0.021337 − 0.949815I
b = 0.490137 − 0.965918I
0.62819 − 3.35726I 0
u = 0.010712 + 0.947670I
a = 0.012888 + 0.991675I
b = −0.271624 + 0.781462I
8.18596 − 7.22783I 0
u = 0.010712 − 0.947670I
a = 0.012888 − 0.991675I
b = −0.271624 − 0.781462I
8.18596 + 7.22783I 0
u = 0.882545 + 0.337456I
a = 0.339882 + 1.040700I
b = 2.20785 + 0.63143I
−2.67573 − 2.21056I 0
u = 0.882545 − 0.337456I
a = 0.339882 − 1.040700I
b = 2.20785 − 0.63143I
−2.67573 + 2.21056I 0
u = 0.617474 + 0.671103I
a = 0.94348 + 1.23326I
b = 2.56949 − 0.80314I
4.05561 + 2.75690I 0
u = 0.617474 − 0.671103I
a = 0.94348 − 1.23326I
b = 2.56949 + 0.80314I
4.05561 − 2.75690I 0
u = 0.218519 + 1.078790I
a = 1.077550 + 0.243009I
b = 1.59592 + 0.06226I
−0.10267 + 2.30053I 0
u = 0.218519 − 1.078790I
a = 1.077550 − 0.243009I
b = 1.59592 − 0.06226I
−0.10267 − 2.30053I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.999786 + 0.467391I
a = −0.972717 − 0.763915I
b = −1.80531 + 0.04063I
3.05566 + 9.72046I 0
u = 0.999786 − 0.467391I
a = −0.972717 + 0.763915I
b = −1.80531 − 0.04063I
3.05566 − 9.72046I 0
u = 0.675343 + 0.874019I
a = 1.041160 + 0.664860I
b = 1.60190 − 0.42948I
1.65677 + 3.09355I 0
u = 0.675343 − 0.874019I
a = 1.041160 − 0.664860I
b = 1.60190 + 0.42948I
1.65677 − 3.09355I 0
u = −0.871890 + 0.187558I
a = −0.43147 + 1.41778I
b = −0.38719 − 2.93184I
3.86186 − 6.91825I 0
u = −0.871890 − 0.187558I
a = −0.43147 − 1.41778I
b = −0.38719 + 2.93184I
3.86186 + 6.91825I 0
u = 0.940987 + 0.588632I
a = −0.580842 − 0.647536I
b = −2.56386 + 1.38056I
9.05513 + 2.33946I 0
u = 0.940987 − 0.588632I
a = −0.580842 + 0.647536I
b = −2.56386 − 1.38056I
9.05513 − 2.33946I 0
u = −0.523619 + 0.706080I
a = −1.26923 + 0.78134I
b = −1.36490 − 0.45951I
−3.46638 − 2.61366I 0
u = −0.523619 − 0.706080I
a = −1.26923 − 0.78134I
b = −1.36490 + 0.45951I
−3.46638 + 2.61366I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.874411
a = −1.57669
b = −1.03320
1.00232 0
u = −0.782261 + 0.389760I
a = −0.929740 − 0.461657I
b = −0.319925 − 0.025276I
5.84549 + 0.81290I 0
u = −0.782261 − 0.389760I
a = −0.929740 + 0.461657I
b = −0.319925 + 0.025276I
5.84549 − 0.81290I 0
u = 1.064840 + 0.379693I
a = −0.413111 + 0.625058I
b = −0.667151 − 0.003480I
3.51763 + 2.87060I 0
u = 1.064840 − 0.379693I
a = −0.413111 − 0.625058I
b = −0.667151 + 0.003480I
3.51763 − 2.87060I 0
u = 0.695932 + 0.894230I
a = 0.284549 + 0.534176I
b = 1.134390 + 0.080449I
1.15236 + 2.75670I 0
u = 0.695932 − 0.894230I
a = 0.284549 − 0.534176I
b = 1.134390 − 0.080449I
1.15236 − 2.75670I 0
u = −1.119180 + 0.212654I
a = 0.588831 + 0.276461I
b = 0.916814 − 0.171103I
4.74385 − 2.28444I 0
u = −1.119180 − 0.212654I
a = 0.588831 − 0.276461I
b = 0.916814 + 0.171103I
4.74385 + 2.28444I 0
u = −0.258454 + 1.109840I
a = −1.044390 + 0.667910I
b = −2.10351 − 0.15975I
3.95892 + 12.30210I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.258454 − 1.109840I
a = −1.044390 − 0.667910I
b = −2.10351 + 0.15975I
3.95892 − 12.30210I 0
u = −0.719200 + 0.466600I
a = −0.95049 + 1.22827I
b = −1.49059 − 1.17047I
−3.53434 − 2.31998I 0
u = −0.719200 − 0.466600I
a = −0.95049 − 1.22827I
b = −1.49059 + 1.17047I
−3.53434 + 2.31998I 0
u = 0.311379 + 1.111650I
a = 0.978705 + 0.700895I
b = 2.13343 − 0.09626I
−3.24325 − 8.35925I 0
u = 0.311379 − 1.111650I
a = 0.978705 − 0.700895I
b = 2.13343 + 0.09626I
−3.24325 + 8.35925I 0
u = 1.008620 + 0.569134I
a = 0.693571 + 0.714935I
b = 1.48552 − 0.55280I
2.19627 + 3.26013I 0
u = 1.008620 − 0.569134I
a = 0.693571 − 0.714935I
b = 1.48552 + 0.55280I
2.19627 − 3.26013I 0
u = −1.073730 + 0.450599I
a = 0.356133 + 0.729758I
b = 0.648328 + 0.072797I
9.49428 − 3.56556I 0
u = −1.073730 − 0.450599I
a = 0.356133 − 0.729758I
b = 0.648328 − 0.072797I
9.49428 + 3.56556I 0
u = 0.797029 + 0.238822I
a = 0.60456 + 1.49514I
b = 0.70268 − 2.17049I
−3.12454 + 4.92510I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.797029 − 0.238822I
a = 0.60456 − 1.49514I
b = 0.70268 + 2.17049I
−3.12454 − 4.92510I 0
u = −0.394117 + 1.111950I
a = −0.853379 + 0.777888I
b = −2.20792 + 0.06848I
−3.78607 + 2.75727I 0
u = −0.394117 − 1.111950I
a = −0.853379 − 0.777888I
b = −2.20792 − 0.06848I
−3.78607 − 2.75727I 0
u = 0.792927 + 0.198436I
a = −0.24880 − 1.94336I
b = −0.860975 + 0.809139I
−2.15309 − 0.12831I 0
u = 0.792927 − 0.198436I
a = −0.24880 + 1.94336I
b = −0.860975 − 0.809139I
−2.15309 + 0.12831I 0
u = −0.781562 + 0.186528I
a = 1.10944 + 0.92626I
b = 0.946496 + 0.148654I
5.50194 − 3.75805I 0. + 7.30757I
u = −0.781562 − 0.186528I
a = 1.10944 − 0.92626I
b = 0.946496 − 0.148654I
5.50194 + 3.75805I 0. − 7.30757I
u = −1.143410 + 0.368152I
a = 0.084839 + 0.695642I
b = 0.292187 + 0.317180I
9.32845 − 0.15577I 0
u = −1.143410 − 0.368152I
a = 0.084839 − 0.695642I
b = 0.292187 − 0.317180I
9.32845 + 0.15577I 0
u = 1.189610 + 0.190263I
a = 0.689839 − 0.825068I
b = −0.208873 + 0.261682I
2.55795 + 0.40515I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.189610 − 0.190263I
a = 0.689839 + 0.825068I
b = −0.208873 − 0.261682I
2.55795 − 0.40515I 0
u = −1.171720 + 0.297261I
a = −0.501837 − 1.292290I
b = 0.541604 + 0.368665I
8.53747 − 5.00328I 0
u = −1.171720 − 0.297261I
a = −0.501837 + 1.292290I
b = 0.541604 − 0.368665I
8.53747 + 5.00328I 0
u = 1.149020 + 0.400504I
a = −0.044347 + 0.511764I
b = −0.106887 − 0.111151I
2.52008 + 1.33074I 0
u = 1.149020 − 0.400504I
a = −0.044347 − 0.511764I
b = −0.106887 + 0.111151I
2.52008 − 1.33074I 0
u = −0.138999 + 0.759366I
a = 1.312110 − 0.461227I
b = 1.001010 + 0.503429I
−1.25264 + 2.36149I 3.02337 − 5.11352I
u = −0.138999 − 0.759366I
a = 1.312110 + 0.461227I
b = 1.001010 − 0.503429I
−1.25264 − 2.36149I 3.02337 + 5.11352I
u = 1.217620 + 0.167615I
a = −0.569466 + 0.104589I
b = −1.103690 − 0.232877I
11.79450 + 2.63794I 0
u = 1.217620 − 0.167615I
a = −0.569466 − 0.104589I
b = −1.103690 + 0.232877I
11.79450 − 2.63794I 0
u = 0.300849 + 1.192090I
a = −0.836379 − 0.186369I
b = −1.74416 + 0.66811I
−3.64149 + 0.33300I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.300849 − 1.192090I
a = −0.836379 + 0.186369I
b = −1.74416 − 0.66811I
−3.64149 − 0.33300I 0
u = 0.165351 + 0.728645I
a = −1.097140 − 0.705621I
b = −0.704111 + 0.585780I
5.54492 − 3.39623I 4.79113 + 3.93438I
u = 0.165351 − 0.728645I
a = −1.097140 + 0.705621I
b = −0.704111 − 0.585780I
5.54492 + 3.39623I 4.79113 − 3.93438I
u = 0.492316 + 0.552431I
a = −0.96762 − 1.61134I
b = −0.641552 + 0.503324I
1.55800 − 5.60766I 1.12260 + 2.03980I
u = 0.492316 − 0.552431I
a = −0.96762 + 1.61134I
b = −0.641552 − 0.503324I
1.55800 + 5.60766I 1.12260 − 2.03980I
u = 1.159920 + 0.503454I
a = −0.616467 − 0.571341I
b = −2.26723 + 0.12128I
8.41120 + 8.01034I 0
u = 1.159920 − 0.503454I
a = −0.616467 + 0.571341I
b = −2.26723 − 0.12128I
8.41120 − 8.01034I 0
u = −1.212680 + 0.371564I
a = 0.078212 + 0.267912I
b = 0.291183 − 0.611037I
2.06132 − 4.33077I 0
u = −1.212680 − 0.371564I
a = 0.078212 − 0.267912I
b = 0.291183 + 0.611037I
2.06132 + 4.33077I 0
u = −1.174140 + 0.498983I
a = 0.609389 − 0.649320I
b = 2.11404 + 0.29591I
1.75505 − 7.01207I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.174140 − 0.498983I
a = 0.609389 + 0.649320I
b = 2.11404 − 0.29591I
1.75505 + 7.01207I 0
u = 1.241500 + 0.339354I
a = −0.118974 + 0.101131I
b = −0.526832 − 0.911895I
8.32979 + 6.48068I 0
u = 1.241500 − 0.339354I
a = −0.118974 − 0.101131I
b = −0.526832 + 0.911895I
8.32979 − 6.48068I 0
u = −1.084230 + 0.744299I
a = 0.547218 − 0.574475I
b = 2.16145 + 1.04357I
1.30001 − 3.27173I 0
u = −1.084230 − 0.744299I
a = 0.547218 + 0.574475I
b = 2.16145 − 1.04357I
1.30001 + 3.27173I 0
u = 1.270760 + 0.391807I
a = −0.521070 − 0.795438I
b = −1.80150 + 0.36154I
1.49681 + 6.23106I 0
u = 1.270760 − 0.391807I
a = −0.521070 + 0.795438I
b = −1.80150 − 0.36154I
1.49681 − 6.23106I 0
u = 0.652264
a = 1.03101
b = 0.281959
1.20245 10.9940
u = −1.275040 + 0.456056I
a = −0.941604 − 0.198837I
b = −0.263074 − 0.821531I
4.76593 − 8.17743I 0
u = −1.275040 − 0.456056I
a = −0.941604 + 0.198837I
b = −0.263074 + 0.821531I
4.76593 + 8.17743I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.292246 + 0.575557I
a = −0.917370 − 0.714132I
b = −0.371520 + 0.235817I
7.30107 − 0.46604I 6.73871 + 1.91848I
u = −0.292246 − 0.575557I
a = −0.917370 + 0.714132I
b = −0.371520 − 0.235817I
7.30107 + 0.46604I 6.73871 − 1.91848I
u = −0.543087 + 0.333468I
a = 0.72839 − 2.13501I
b = 0.558413 + 0.604662I
−4.01535 + 3.41959I −2.30368 + 0.21144I
u = −0.543087 − 0.333468I
a = 0.72839 + 2.13501I
b = 0.558413 − 0.604662I
−4.01535 − 3.41959I −2.30368 − 0.21144I
u = 1.274810 + 0.491288I
a = 0.864555 − 0.230360I
b = 0.399460 − 0.761795I
12.0565 + 12.3113I 0
u = 1.274810 − 0.491288I
a = 0.864555 + 0.230360I
b = 0.399460 + 0.761795I
12.0565 − 12.3113I 0
u = −1.361730 + 0.113588I
a = −0.385697 − 0.716871I
b = 0.129086 + 0.630162I
3.29705 + 4.11928I 0
u = −1.361730 − 0.113588I
a = −0.385697 + 0.716871I
b = 0.129086 − 0.630162I
3.29705 − 4.11928I 0
u = −1.339720 + 0.301551I
a = 0.442442 − 0.841602I
b = 1.67849 + 0.32054I
7.97095 − 6.50583I 0
u = −1.339720 − 0.301551I
a = 0.442442 + 0.841602I
b = 1.67849 − 0.32054I
7.97095 + 6.50583I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.321170 + 0.454924I
a = −0.733337 + 0.018294I
b = −0.536120 − 1.077190I
12.34460 + 2.14848I 0
u = −1.321170 − 0.454924I
a = −0.733337 − 0.018294I
b = −0.536120 + 1.077190I
12.34460 − 2.14848I 0
u = 1.326030 + 0.458330I
a = 0.972372 + 0.065808I
b = 0.327609 − 1.238650I
4.63085 + 2.01487I 0
u = 1.326030 − 0.458330I
a = 0.972372 − 0.065808I
b = 0.327609 + 1.238650I
4.63085 − 2.01487I 0
u = −1.255250 + 0.645885I
a = −0.858593 + 0.715882I
b = −2.09645 − 1.45278I
−0.92940 − 9.04679I 0
u = −1.255250 − 0.645885I
a = −0.858593 − 0.715882I
b = −2.09645 + 1.45278I
−0.92940 + 9.04679I 0
u = 1.26771 + 0.64097I
a = 0.814774 + 0.723594I
b = 2.23099 − 1.29420I
−0.1859 + 14.5941I 0
u = 1.26771 − 0.64097I
a = 0.814774 − 0.723594I
b = 2.23099 + 1.29420I
−0.1859 − 14.5941I 0
u = −1.28092 + 0.63273I
a = −0.791136 + 0.729120I
b = −2.32305 − 1.22310I
7.1819 − 18.4916I 0
u = −1.28092 − 0.63273I
a = −0.791136 − 0.729120I
b = −2.32305 + 1.22310I
7.1819 + 18.4916I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.24104 + 0.75808I
a = 1.051530 + 0.875991I
b = 2.52316 − 2.32345I
5.34160 + 3.32403I 0
u = 1.24104 − 0.75808I
a = 1.051530 − 0.875991I
b = 2.52316 + 2.32345I
5.34160 − 3.32403I 0
u = 1.30681 + 0.67419I
a = −0.471067 − 0.616995I
b = −1.92205 + 0.81411I
−0.36548 + 6.26801I 0
u = 1.30681 − 0.67419I
a = −0.471067 + 0.616995I
b = −1.92205 − 0.81411I
−0.36548 − 6.26801I 0
u = −0.78348 + 1.24630I
a = 0.619511 − 0.336925I
b = 1.99279 + 1.01793I
0.25002 − 3.81753I 0
u = −0.78348 − 1.24630I
a = 0.619511 + 0.336925I
b = 1.99279 − 1.01793I
0.25002 + 3.81753I 0
u = −0.131389 + 0.501912I
a = 0.463018 + 0.506197I
b = −0.420529 + 0.601464I
−1.13493 + 0.94147I −4.21874 − 2.34500I
u = −0.131389 − 0.501912I
a = 0.463018 − 0.506197I
b = −0.420529 − 0.601464I
−1.13493 − 0.94147I −4.21874 + 2.34500I
u = 1.46722 + 0.20354I
a = 0.255174 − 0.756956I
b = −0.275869 + 0.759974I
10.15790 − 7.45001I 0
u = 1.46722 − 0.20354I
a = 0.255174 + 0.756956I
b = −0.275869 − 0.759974I
10.15790 + 7.45001I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44185 + 0.59051I
a = 0.413659 − 0.665951I
b = 1.70652 + 0.73088I
4.95027 − 8.38558I 0
u = −1.44185 − 0.59051I
a = 0.413659 + 0.665951I
b = 1.70652 − 0.73088I
4.95027 + 8.38558I 0
u = 0.195119 + 0.364133I
a = 0.971260 − 1.008830I
b = 0.199389 + 0.215350I
1.319960 + 0.350002I 7.97653 − 0.58766I
u = 0.195119 − 0.364133I
a = 0.971260 + 1.008830I
b = 0.199389 − 0.215350I
1.319960 − 0.350002I 7.97653 + 0.58766I
u = 0.098074 + 0.341468I
a = −1.85528 + 0.39319I
b = 0.493075 + 1.077430I
4.88741 − 3.42237I 1.82670 + 2.65734I
u = 0.098074 − 0.341468I
a = −1.85528 − 0.39319I
b = 0.493075 − 1.077430I
4.88741 + 3.42237I 1.82670 − 2.65734I
17
II.
I
u
2
= h−2.97 × 10
8
u
26
− 8.67 × 10
7
u
25
+ · · · + 6.53 × 10
6
b − 6.16 × 10
8
, 2.82 ×
10
8
u
26
+2.97×10
7
u
25
+· · ·+6.53×10
6
a+6.98×10
8
, u
27
+u
26
+· · ·−11u
2
+1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
8
=
u
−u
3
+ u
a
11
=
−43.1446u
26
− 4.55493u
25
+ ··· + 102.918u − 106.854
45.4030u
26
+ 13.2739u
25
+ ··· − 113.510u + 94.2487
a
6
=
47.8248u
26
+ 11.8549u
25
+ ··· − 86.5156u + 82.6503
−18.7731u
26
− 15.4500u
25
+ ··· + 20.9914u + 5.23085
a
12
=
−25.5393u
26
− 10.8391u
25
+ ··· + 37.5220u − 9.95058
−15.9395u
26
+ 0.796616u
25
+ ··· + 45.6064u − 44.5238
a
10
=
−71.3659u
26
− 13.7069u
25
+ ··· + 174.284u − 163.513
28.2213u
26
+ 9.15194u
25
+ ··· − 70.3659u + 56.6590
a
4
=
91.3252u
26
+ 45.1086u
25
+ ··· − 254.838u + 118.583
−26.6662u
26
− 8.67088u
25
+ ··· + 83.3252u − 46.2166
a
1
=
66.4791u
26
+ 6.15932u
25
+ ··· − 155.922u + 137.571
−20.6035u
26
− 9.70298u
25
+ ··· + 26.1497u − 17.9912
a
9
=
−43.1446u
26
− 4.55493u
25
+ ··· + 103.918u − 106.854
28.2213u
26
+ 9.15194u
25
+ ··· − 70.3659u + 56.6590
a
5
=
−15.7937u
26
+ 6.39736u
25
+ ··· + 74.3803u − 94.9944
52.4256u
26
+ 15.2951u
25
+ ··· − 132.016u + 92.8970
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1237736833
6531331
u
26
−
715022714
6531331
u
25
+ ··· +
3021932240
6531331
u −
1104068601
6531331
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
u
27
− 2u
26
+ ··· + 2u
2
− 1
c
2
u
27
+ u
26
+ ··· − 11u
2
+ 1
c
3
u
27
+ 4u
25
+ ··· − u + 1
c
4
u
27
+ 2u
26
+ ··· − 2u
2
+ 1
c
5
u
27
− u
25
+ ··· + 6u + 1
c
6
u
27
+ 13u
25
+ ··· − 8u + 4
c
7
u
27
− u
26
+ ··· + 11u
2
− 1
c
8
u
27
− 5u
26
+ ··· + u + 1
c
9
u
27
+ 6u
25
+ ··· + 12u − 4
c
10
u
27
− 13u
26
+ ··· + 19u + 1
c
11
u
27
+ 13u
25
+ ··· − 8u − 4
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
27
+ 34y
26
+ ··· + 4y −1
c
2
, c
7
y
27
− 13y
26
+ ··· + 22y −1
c
3
y
27
+ 8y
26
+ ··· − 19y −1
c
5
y
27
− 2y
26
+ ··· − 10y −1
c
6
, c
11
y
27
+ 26y
26
+ ··· − 208y −16
c
8
y
27
− 5y
26
+ ··· + 9y −1
c
9
y
27
+ 12y
26
+ ··· − 160y −16
c
10
y
27
+ 11y
26
+ ··· + 689y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.971273 + 0.329789I
a = −0.039348 + 0.429423I
b = −1.39425 + 0.40639I
10.14670 + 1.35183I 11.95149 − 0.58123I
u = 0.971273 − 0.329789I
a = −0.039348 − 0.429423I
b = −1.39425 − 0.40639I
10.14670 − 1.35183I 11.95149 + 0.58123I
u = −0.007210 + 0.931229I
a = −1.311520 − 0.254754I
b = −1.74023 − 0.09478I
−3.62095 − 1.65076I −1.69799 + 0.37639I
u = −0.007210 − 0.931229I
a = −1.311520 + 0.254754I
b = −1.74023 + 0.09478I
−3.62095 + 1.65076I −1.69799 − 0.37639I
u = 1.114300 + 0.297118I
a = −0.375167 + 0.913483I
b = −0.036363 − 0.688894I
7.43683 + 4.71624I 6.20012 − 3.80289I
u = 1.114300 − 0.297118I
a = −0.375167 − 0.913483I
b = −0.036363 + 0.688894I
7.43683 − 4.71624I 6.20012 + 3.80289I
u = −1.087590 + 0.397346I
a = 0.414365 + 0.350998I
b = 0.715942 + 0.225536I
3.34115 − 2.17604I 7.00627 − 0.59512I
u = −1.087590 − 0.397346I
a = 0.414365 − 0.350998I
b = 0.715942 − 0.225536I
3.34115 + 2.17604I 7.00627 + 0.59512I
u = −0.768781 + 0.327917I
a = −0.91672 + 1.58259I
b = −1.30052 − 0.61055I
−2.57062 − 1.73072I 2.14902 + 1.71181I
u = −0.768781 − 0.327917I
a = −0.91672 − 1.58259I
b = −1.30052 + 0.61055I
−2.57062 + 1.73072I 2.14902 − 1.71181I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.626241 + 1.021610I
a = 0.265079 − 0.511718I
b = 1.333060 − 0.037198I
1.54372 − 2.85725I 14.6474 + 4.0629I
u = −0.626241 − 1.021610I
a = 0.265079 + 0.511718I
b = 1.333060 + 0.037198I
1.54372 + 2.85725I 14.6474 − 4.0629I
u = 0.765000 + 0.120038I
a = 1.064230 + 0.676285I
b = 1.080250 + 0.785672I
5.81807 − 2.90160I 9.35027 − 1.09952I
u = 0.765000 − 0.120038I
a = 1.064230 − 0.676285I
b = 1.080250 − 0.785672I
5.81807 + 2.90160I 9.35027 + 1.09952I
u = −0.720460
a = −1.47279
b = −0.760802
0.526085 −6.19000
u = −1.289450 + 0.379005I
a = 0.415545 − 0.736733I
b = 1.60178 − 0.23758I
6.55299 − 7.89053I 5.86094 + 7.19827I
u = −1.289450 − 0.379005I
a = 0.415545 + 0.736733I
b = 1.60178 + 0.23758I
6.55299 + 7.89053I 5.86094 − 7.19827I
u = 1.275740 + 0.466384I
a = −0.522773 − 0.688434I
b = −1.71040 + 0.39088I
0.84492 + 6.50332I 0. − 8.66026I
u = 1.275740 − 0.466384I
a = −0.522773 + 0.688434I
b = −1.71040 − 0.39088I
0.84492 − 6.50332I 0. + 8.66026I
u = −0.618623 + 0.046280I
a = −0.20343 − 2.04084I
b = −0.93110 + 2.37134I
3.38778 + 6.02846I 2.85390 − 3.46172I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.618623 − 0.046280I
a = −0.20343 + 2.04084I
b = −0.93110 − 2.37134I
3.38778 − 6.02846I 2.85390 + 3.46172I
u = −1.188080 + 0.716248I
a = 0.968479 − 0.885296I
b = 2.52460 + 1.96029I
5.22860 − 3.29819I −16.9841 + 2.0112I
u = −1.188080 − 0.716248I
a = 0.968479 + 0.885296I
b = 2.52460 − 1.96029I
5.22860 + 3.29819I −16.9841 − 2.0112I
u = 0.79526 + 1.19126I
a = 0.705062 + 0.415880I
b = 1.79591 − 0.79265I
−0.51548 + 3.95169I −4.85236 − 6.04248I
u = 0.79526 − 1.19126I
a = 0.705062 − 0.415880I
b = 1.79591 + 0.79265I
−0.51548 − 3.95169I −4.85236 + 6.04248I
u = 0.524629 + 0.069763I
a = 0.77260 + 2.36896I
b = 0.94171 − 1.32673I
−3.31317 + 4.12928I 1.60685 − 4.77342I
u = 0.524629 − 0.069763I
a = 0.77260 − 2.36896I
b = 0.94171 + 1.32673I
−3.31317 − 4.12928I 1.60685 + 4.77342I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
12
(u
27
− 2u
26
+ ··· + 2u
2
− 1)(u
126
− 5u
125
+ ··· + 30u − 1)
c
2
(u
27
+ u
26
+ ··· − 11u
2
+ 1)(u
126
− 35u
124
+ ··· − 458u + 469)
c
3
(u
27
+ 4u
25
+ ··· − u + 1)(u
126
+ u
125
+ ··· + 1130931u − 66457)
c
4
(u
27
+ 2u
26
+ ··· − 2u
2
+ 1)(u
126
− 5u
125
+ ··· + 30u − 1)
c
5
(u
27
− u
25
+ ··· + 6u + 1)(u
126
− 7u
125
+ ··· + 106u − 7)
c
6
(u
27
+ 13u
25
+ ··· − 8u + 4)(u
126
− u
125
+ ··· − 68860u − 3292)
c
7
(u
27
− u
26
+ ··· + 11u
2
− 1)(u
126
− 35u
124
+ ··· − 458u + 469)
c
8
(u
27
− 5u
26
+ ··· + u + 1)(u
126
− 9u
124
+ ··· + 3761u + 521)
c
9
(u
27
+ 6u
25
+ ··· + 12u − 4)
· (u
126
− 3u
125
+ ··· + 15229088u − 1636828)
c
10
(u
27
− 13u
26
+ ··· + 19u + 1)
· (u
126
− 12u
125
+ ··· − 1879129u + 1027873)
c
11
(u
27
+ 13u
25
+ ··· − 8u − 4)(u
126
− u
125
+ ··· − 68860u − 3292)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
(y
27
+ 34y
26
+ ··· + 4y −1)(y
126
+ 137y
125
+ ··· − 46y + 1)
c
2
, c
7
(y
27
− 13y
26
+ ··· + 22y −1)
· (y
126
− 70y
125
+ ··· − 1412280y + 219961)
c
3
(y
27
+ 8y
26
+ ··· − 19y −1)
· (y
126
+ 51y
125
+ ··· + 129805452721y + 4416532849)
c
5
(y
27
− 2y
26
+ ··· − 10y −1)(y
126
− 7y
125
+ ··· + 5088y + 49)
c
6
, c
11
(y
27
+ 26y
26
+ ··· − 208y −16)
· (y
126
+ 93y
125
+ ··· − 118823008y + 10837264)
c
8
(y
27
− 5y
26
+ ··· + 9y −1)
· (y
126
− 18y
125
+ ··· − 15152735y + 271441)
c
9
(y
27
+ 12y
26
+ ··· − 160y −16)
· (y
126
+ 35y
125
+ ··· − 24617509435312y + 2679205901584)
c
10
(y
27
+ 11y
26
+ ··· + 689y −1)
· (y
126
− 14y
125
+ ··· − 60668343049755y + 1056522904129)
25
