12a
0704
(K12a
0704
)
A knot diagram
1
Linearized knot diagam
3 8 6 11 1 10 2 12 7 4 9 5
Solving Sequence
2,7
8 3
1,10
6 4 11 5 9 12
c
7
c
2
c
1
c
6
c
3
c
10
c
5
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.60148 × 10
463
u
146
+ 1.63393 × 10
463
u
145
+ ··· + 6.38257 × 10
464
b − 5.26299 × 10
466
,
1.03268 × 10
467
u
146
− 1.43461 × 10
466
u
145
+ ··· + 3.36361 × 10
467
a + 5.88493 × 10
469
,
u
147
− u
146
+ ··· + 1273u − 527i
I
u
2
= h5521967436u
45
+ 25712795502u
44
+ ··· + 1058458619b − 22055868259,
64806150566u
45
+ 33655961613u
44
+ ··· + 1058458619a − 25765949811,
u
46
− 14u
44
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 193 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−7.60 × 10
463
u
146
+ 1.63 × 10
463
u
145
+ · · · + 6.38 × 10
464
b − 5.26 ×
10
466
, 1.03 × 10
467
u
146
− 1.43 × 10
466
u
145
+ · · · + 3.36 × 10
467
a + 5.88 ×
10
469
, u
147
− u
146
+ · · · + 1273u − 527i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
10
=
−0.307015u
146
+ 0.0426507u
145
+ ··· + 264.395u − 174.959
0.119098u
146
− 0.0255999u
145
+ ··· − 98.5592u + 82.4588
a
6
=
0.0335880u
146
− 0.0499830u
145
+ ··· − 65.0765u + 47.3200
0.0868913u
146
− 0.0208113u
145
+ ··· − 62.4171u + 61.5742
a
4
=
−0.191808u
146
+ 0.0571137u
145
+ ··· + 183.167u − 118.328
0.0720548u
146
− 0.0359632u
145
+ ··· − 62.4195u + 71.3182
a
11
=
−0.374298u
146
+ 0.0923870u
145
+ ··· + 300.030u − 232.677
0.148247u
146
− 0.0335708u
145
+ ··· − 121.790u + 85.2752
a
5
=
0.00283914u
146
− 0.0381795u
145
+ ··· − 34.0622u + 25.6472
0.0728317u
146
− 0.0237253u
145
+ ··· − 60.1539u + 57.8352
a
9
=
−0.187918u
146
+ 0.0170508u
145
+ ··· + 165.835u − 92.4997
0.119098u
146
− 0.0255999u
145
+ ··· − 98.5592u + 82.4588
a
12
=
−0.0766419u
146
+ 0.00138737u
145
+ ··· + 32.4750u − 28.5523
0.0407402u
146
+ 0.00299541u
145
+ ··· − 25.7432u + 17.3077
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.17353u
146
+ 0.321754u
145
+ ··· + 866.505u − 865.889
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
147
+ 65u
146
+ ··· + 6797777u + 277729
c
2
, c
7
u
147
− u
146
+ ··· + 1273u − 527
c
3
u
147
+ 5u
146
+ ··· − 487893741u + 95956559
c
4
, c
10
u
147
+ u
146
+ ··· − 434404u − 73112
c
5
, c
12
u
147
− 3u
146
+ ··· − 1819273u − 573163
c
6
, c
9
u
147
− 2u
146
+ ··· − 976586u + 350333
c
8
, c
11
u
147
+ 6u
146
+ ··· − 10u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
147
+ 59y
146
+ ··· − 2005730840055y −77133397441
c
2
, c
7
y
147
− 65y
146
+ ··· + 6797777y −277729
c
3
y
147
− 75y
146
+ ··· + 857754722402922901y −9207661215120481
c
4
, c
10
y
147
− 109y
146
+ ··· − 76435879920y −5345364544
c
5
, c
12
y
147
− 103y
146
+ ··· + 11878213249293y −328515824569
c
6
, c
9
y
147
+ 102y
146
+ ··· − 10016924047636y −122733210889
c
8
, c
11
y
147
+ 74y
146
+ ··· + 496y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.778426 + 0.640882I
a = 0.472111 + 1.067180I
b = −1.54249 − 0.15023I
0.127554 − 0.538258I 0
u = 0.778426 − 0.640882I
a = 0.472111 − 1.067180I
b = −1.54249 + 0.15023I
0.127554 + 0.538258I 0
u = 0.920265 + 0.340469I
a = −0.65259 − 1.57181I
b = 0.429836 − 0.752106I
−0.036251 + 0.731182I 0
u = 0.920265 − 0.340469I
a = −0.65259 + 1.57181I
b = 0.429836 + 0.752106I
−0.036251 − 0.731182I 0
u = 0.356734 + 0.957481I
a = −0.12746 − 1.71970I
b = 0.152177 + 1.223830I
11.10520 − 1.67996I 0
u = 0.356734 − 0.957481I
a = −0.12746 + 1.71970I
b = 0.152177 − 1.223830I
11.10520 + 1.67996I 0
u = 0.541223 + 0.872467I
a = −0.10006 + 1.86950I
b = 0.431756 − 1.343840I
12.19500 + 5.90750I 0
u = 0.541223 − 0.872467I
a = −0.10006 − 1.86950I
b = 0.431756 + 1.343840I
12.19500 − 5.90750I 0
u = 0.511898 + 0.819681I
a = −0.082419 + 0.534274I
b = −0.599851 − 0.097815I
1.60243 + 2.51217I 0
u = 0.511898 − 0.819681I
a = −0.082419 − 0.534274I
b = −0.599851 + 0.097815I
1.60243 − 2.51217I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.785232 + 0.556584I
a = 0.122117 − 0.805763I
b = 0.631868 − 0.663164I
1.012040 − 0.694926I 0
u = 0.785232 − 0.556584I
a = 0.122117 + 0.805763I
b = 0.631868 + 0.663164I
1.012040 + 0.694926I 0
u = 0.828523 + 0.636779I
a = 1.24927 − 2.04135I
b = 0.79896 + 1.30051I
9.83164 − 4.55996I 0
u = 0.828523 − 0.636779I
a = 1.24927 + 2.04135I
b = 0.79896 − 1.30051I
9.83164 + 4.55996I 0
u = −0.841628 + 0.630253I
a = 0.953830 − 0.159269I
b = 0.471205 + 0.705323I
1.81516 + 6.04930I 0
u = −0.841628 − 0.630253I
a = 0.953830 + 0.159269I
b = 0.471205 − 0.705323I
1.81516 − 6.04930I 0
u = −0.573028 + 0.745920I
a = 0.58729 + 1.74112I
b = −0.54507 − 1.50557I
5.15512 − 6.76066I 0
u = −0.573028 − 0.745920I
a = 0.58729 − 1.74112I
b = −0.54507 + 1.50557I
5.15512 + 6.76066I 0
u = −0.774357 + 0.519727I
a = 1.51025 + 3.19257I
b = 0.273043 − 1.036390I
0.83895 + 2.21626I 0
u = −0.774357 − 0.519727I
a = 1.51025 − 3.19257I
b = 0.273043 + 1.036390I
0.83895 − 2.21626I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.736512 + 0.570399I
a = −0.352151 + 0.728005I
b = −0.619511 − 0.998464I
2.20503 − 1.16067I 0
u = −0.736512 − 0.570399I
a = −0.352151 − 0.728005I
b = −0.619511 + 0.998464I
2.20503 + 1.16067I 0
u = −0.634955 + 0.864567I
a = 0.410494 − 0.446785I
b = −1.326540 − 0.139935I
4.95565 − 6.44680I 0
u = −0.634955 − 0.864567I
a = 0.410494 + 0.446785I
b = −1.326540 + 0.139935I
4.95565 + 6.44680I 0
u = 1.07508
a = −0.912775
b = −0.770574
2.41716 0
u = −0.761395 + 0.759469I
a = −0.92997 − 1.67614I
b = 0.25336 + 1.46998I
7.01462 − 1.27991I 0
u = −0.761395 − 0.759469I
a = −0.92997 + 1.67614I
b = 0.25336 − 1.46998I
7.01462 + 1.27991I 0
u = 0.842370 + 0.670276I
a = −0.90569 + 1.87573I
b = −0.098364 − 1.236020I
3.16395 − 2.59138I 0
u = 0.842370 − 0.670276I
a = −0.90569 − 1.87573I
b = −0.098364 + 1.236020I
3.16395 + 2.59138I 0
u = −0.864504 + 0.649729I
a = −1.114200 − 0.142895I
b = −0.622297 + 0.429015I
1.73673 − 1.05522I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.864504 − 0.649729I
a = −1.114200 + 0.142895I
b = −0.622297 − 0.429015I
1.73673 + 1.05522I 0
u = 0.922929 + 0.582561I
a = −0.291109 + 0.376979I
b = −0.751318 − 0.383558I
0.54199 − 3.86844I 0
u = 0.922929 − 0.582561I
a = −0.291109 − 0.376979I
b = −0.751318 + 0.383558I
0.54199 + 3.86844I 0
u = 0.830577 + 0.365011I
a = 0.012926 + 0.482356I
b = −0.562755 − 0.628357I
0.01525 − 3.33985I 0
u = 0.830577 − 0.365011I
a = 0.012926 − 0.482356I
b = −0.562755 + 0.628357I
0.01525 + 3.33985I 0
u = −0.955020 + 0.544768I
a = 1.49599 + 2.23878I
b = −0.054886 − 1.040640I
0.21240 + 2.08501I 0
u = −0.955020 − 0.544768I
a = 1.49599 − 2.23878I
b = −0.054886 + 1.040640I
0.21240 − 2.08501I 0
u = 0.882596 + 0.657710I
a = 0.894460 − 1.041250I
b = −0.65403 + 1.39196I
9.65804 − 0.48101I 0
u = 0.882596 − 0.657710I
a = 0.894460 + 1.041250I
b = −0.65403 − 1.39196I
9.65804 + 0.48101I 0
u = 1.096650 + 0.094685I
a = 1.28110 + 0.88681I
b = 0.661377 − 0.018405I
−1.73830 − 5.76419I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.096650 − 0.094685I
a = 1.28110 − 0.88681I
b = 0.661377 + 0.018405I
−1.73830 + 5.76419I 0
u = −0.869444 + 0.202717I
a = 1.28699 + 1.50201I
b = 0.980292 − 0.454294I
−2.87525 − 0.00985I 0
u = −0.869444 − 0.202717I
a = 1.28699 − 1.50201I
b = 0.980292 + 0.454294I
−2.87525 + 0.00985I 0
u = −0.508186 + 0.729992I
a = −0.618628 + 0.050688I
b = 0.795914 + 0.101504I
7.73827 − 1.29712I 0
u = −0.508186 − 0.729992I
a = −0.618628 − 0.050688I
b = 0.795914 − 0.101504I
7.73827 + 1.29712I 0
u = −0.951941 + 0.576556I
a = 1.73167 + 0.74324I
b = 0.672415 − 0.868583I
1.51005 + 5.75445I 0
u = −0.951941 − 0.576556I
a = 1.73167 − 0.74324I
b = 0.672415 + 0.868583I
1.51005 − 5.75445I 0
u = 1.030960 + 0.419841I
a = 0.804538 + 0.337202I
b = 0.131939 − 0.668989I
−0.55978 − 3.61625I 0
u = 1.030960 − 0.419841I
a = 0.804538 − 0.337202I
b = 0.131939 + 0.668989I
−0.55978 + 3.61625I 0
u = 1.116450 + 0.080668I
a = 0.248720 − 0.433098I
b = 0.508199 − 1.235860I
−0.05892 + 5.41496I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.116450 − 0.080668I
a = 0.248720 + 0.433098I
b = 0.508199 + 1.235860I
−0.05892 − 5.41496I 0
u = 0.925740 + 0.629821I
a = −0.463380 − 1.086740I
b = 1.50833 − 0.33353I
−0.33932 − 4.43207I 0
u = 0.925740 − 0.629821I
a = −0.463380 + 1.086740I
b = 1.50833 + 0.33353I
−0.33932 + 4.43207I 0
u = −1.120700 + 0.010146I
a = −0.852519 − 0.224656I
b = −0.436881 + 1.197210I
5.92817 + 4.34568I 0
u = −1.120700 − 0.010146I
a = −0.852519 + 0.224656I
b = −0.436881 − 1.197210I
5.92817 − 4.34568I 0
u = −0.844619 + 0.243562I
a = −0.328642 − 0.338028I
b = −0.553371 + 0.267517I
−1.42084 + 0.71027I 0
u = −0.844619 − 0.243562I
a = −0.328642 + 0.338028I
b = −0.553371 − 0.267517I
−1.42084 − 0.71027I 0
u = −1.078830 + 0.315369I
a = −1.07680 + 1.23292I
b = −0.048520 + 1.103220I
1.12055 − 2.42534I 0
u = −1.078830 − 0.315369I
a = −1.07680 − 1.23292I
b = −0.048520 − 1.103220I
1.12055 + 2.42534I 0
u = 1.109170 + 0.265389I
a = 1.062610 − 0.679961I
b = 0.694795 + 0.597913I
−5.31063 − 4.35765I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.109170 − 0.265389I
a = 1.062610 + 0.679961I
b = 0.694795 − 0.597913I
−5.31063 + 4.35765I 0
u = 0.519758 + 1.017660I
a = 0.15611 − 1.48042I
b = −0.54341 + 1.47748I
10.1208 + 12.9054I 0
u = 0.519758 − 1.017660I
a = 0.15611 + 1.48042I
b = −0.54341 − 1.47748I
10.1208 − 12.9054I 0
u = 1.081760 + 0.403301I
a = 2.61050 − 0.28768I
b = 0.482133 + 0.742642I
−1.22465 − 6.28817I 0
u = 1.081760 − 0.403301I
a = 2.61050 + 0.28768I
b = 0.482133 − 0.742642I
−1.22465 + 6.28817I 0
u = 1.109800 + 0.330691I
a = −0.110825 − 0.423167I
b = −0.106102 − 0.990189I
−0.09489 − 2.69736I 0
u = 1.109800 − 0.330691I
a = −0.110825 + 0.423167I
b = −0.106102 + 0.990189I
−0.09489 + 2.69736I 0
u = 1.030300 + 0.532043I
a = 1.55209 + 0.51998I
b = 0.270079 + 0.972107I
2.43324 − 9.06775I 0
u = 1.030300 − 0.532043I
a = 1.55209 − 0.51998I
b = 0.270079 − 0.972107I
2.43324 + 9.06775I 0
u = −0.919850 + 0.715123I
a = −1.03976 − 1.91848I
b = −0.37442 + 1.46514I
6.53444 + 6.85574I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.919850 − 0.715123I
a = −1.03976 + 1.91848I
b = −0.37442 − 1.46514I
6.53444 − 6.85574I 0
u = −0.175922 + 0.813953I
a = −0.489267 − 0.219324I
b = −0.855226 + 0.732951I
2.52802 + 3.03063I 0
u = −0.175922 − 0.813953I
a = −0.489267 + 0.219324I
b = −0.855226 − 0.732951I
2.52802 − 3.03063I 0
u = −0.713611 + 0.929280I
a = −0.57125 − 1.67819I
b = 0.068158 + 1.332130I
7.15337 − 0.77850I 0
u = −0.713611 − 0.929280I
a = −0.57125 + 1.67819I
b = 0.068158 − 1.332130I
7.15337 + 0.77850I 0
u = −1.054680 + 0.523950I
a = −0.106815 + 0.605372I
b = 0.856583 + 0.519963I
−3.68402 + 2.62097I 0
u = −1.054680 − 0.523950I
a = −0.106815 − 0.605372I
b = 0.856583 − 0.519963I
−3.68402 − 2.62097I 0
u = −0.508269 + 1.069880I
a = 0.05315 + 1.50946I
b = −0.290466 − 1.259420I
5.28461 − 5.83710I 0
u = −0.508269 − 1.069880I
a = 0.05315 − 1.50946I
b = −0.290466 + 1.259420I
5.28461 + 5.83710I 0
u = 1.053190 + 0.586494I
a = 1.63132 − 1.56190I
b = 0.444893 + 1.119520I
−1.56950 − 7.43975I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.053190 − 0.586494I
a = 1.63132 + 1.56190I
b = 0.444893 − 1.119520I
−1.56950 + 7.43975I 0
u = 0.696771 + 0.373794I
a = −0.52927 − 3.42433I
b = −0.142389 + 0.911369I
0.26523 + 3.14967I 0
u = 0.696771 − 0.373794I
a = −0.52927 + 3.42433I
b = −0.142389 − 0.911369I
0.26523 − 3.14967I 0
u = −1.039210 + 0.627307I
a = −0.033966 − 0.939924I
b = −0.943537 + 0.083530I
6.20996 + 6.45813I 0
u = −1.039210 − 0.627307I
a = −0.033966 + 0.939924I
b = −0.943537 − 0.083530I
6.20996 − 6.45813I 0
u = −0.684520 + 0.385763I
a = −1.08225 + 1.07395I
b = 0.739531 + 0.852241I
8.32815 − 1.83774I 0
u = −0.684520 − 0.385763I
a = −1.08225 − 1.07395I
b = 0.739531 − 0.852241I
8.32815 + 1.83774I 0
u = −0.857481 + 0.868825I
a = −0.95591 − 1.49107I
b = −0.02106 + 1.45893I
7.11278 − 0.43851I 0
u = −0.857481 − 0.868825I
a = −0.95591 + 1.49107I
b = −0.02106 − 1.45893I
7.11278 + 0.43851I 0
u = 0.901619 + 0.824966I
a = −0.873005 + 1.046140I
b = 0.46470 − 1.71275I
9.44446 − 5.09819I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.901619 − 0.824966I
a = −0.873005 − 1.046140I
b = 0.46470 + 1.71275I
9.44446 + 5.09819I 0
u = 0.883285 + 0.849255I
a = −0.95339 + 1.57687I
b = −0.66559 − 1.63015I
9.51800 − 1.11224I 0
u = 0.883285 − 0.849255I
a = −0.95339 − 1.57687I
b = −0.66559 + 1.63015I
9.51800 + 1.11224I 0
u = −0.154729 + 0.754785I
a = −0.565219 + 0.989219I
b = −0.067469 − 1.172290I
3.77326 − 0.70669I 0
u = −0.154729 − 0.754785I
a = −0.565219 − 0.989219I
b = −0.067469 + 1.172290I
3.77326 + 0.70669I 0
u = −1.047050 + 0.654944I
a = 1.51025 + 1.64785I
b = 0.67095 − 1.47784I
3.74559 + 12.12120I 0
u = −1.047050 − 0.654944I
a = 1.51025 − 1.64785I
b = 0.67095 + 1.47784I
3.74559 − 12.12120I 0
u = 0.624836 + 0.432656I
a = −0.965469 + 0.167783I
b = −0.393327 + 1.133680I
3.84330 + 4.90506I 0
u = 0.624836 − 0.432656I
a = −0.965469 − 0.167783I
b = −0.393327 − 1.133680I
3.84330 − 4.90506I 0
u = −1.158820 + 0.447683I
a = −0.192868 − 0.507991I
b = −0.262122 + 0.837860I
6.51476 + 5.21110I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.158820 − 0.447683I
a = −0.192868 + 0.507991I
b = −0.262122 − 0.837860I
6.51476 − 5.21110I 0
u = −0.934881 + 0.823887I
a = −0.79041 − 1.59233I
b = −0.23009 + 1.56819I
6.87164 + 6.72069I 0
u = −0.934881 − 0.823887I
a = −0.79041 + 1.59233I
b = −0.23009 − 1.56819I
6.87164 − 6.72069I 0
u = −1.155870 + 0.478104I
a = 1.59992 + 0.04880I
b = 0.177101 − 1.070390I
0.80861 + 5.23839I 0
u = −1.155870 − 0.478104I
a = 1.59992 − 0.04880I
b = 0.177101 + 1.070390I
0.80861 − 5.23839I 0
u = −1.174290 + 0.456038I
a = 0.558595 + 0.932177I
b = 0.671569 + 0.886764I
−0.61769 + 1.60053I 0
u = −1.174290 − 0.456038I
a = 0.558595 − 0.932177I
b = 0.671569 − 0.886764I
−0.61769 − 1.60053I 0
u = 0.585756 + 1.119370I
a = −0.25573 + 1.43592I
b = −0.15509 − 1.51545I
10.28990 − 6.14961I 0
u = 0.585756 − 1.119370I
a = −0.25573 − 1.43592I
b = −0.15509 + 1.51545I
10.28990 + 6.14961I 0
u = −1.261980 + 0.077175I
a = 0.527018 + 0.488795I
b = 0.248284 − 0.552269I
−4.24872 − 0.41421I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.261980 − 0.077175I
a = 0.527018 − 0.488795I
b = 0.248284 + 0.552269I
−4.24872 + 0.41421I 0
u = −1.024840 + 0.748828I
a = −0.96566 − 1.62522I
b = −0.183223 + 1.335610I
6.14818 + 6.91952I 0
u = −1.024840 − 0.748828I
a = −0.96566 + 1.62522I
b = −0.183223 − 1.335610I
6.14818 − 6.91952I 0
u = 1.084530 + 0.660699I
a = 0.060708 − 0.336124I
b = 0.736647 − 0.198405I
−0.10714 − 8.06084I 0
u = 1.084530 − 0.660699I
a = 0.060708 + 0.336124I
b = 0.736647 + 0.198405I
−0.10714 + 8.06084I 0
u = −1.263420 + 0.190404I
a = 0.255671 − 0.085952I
b = 0.396072 + 0.938866I
−4.28033 + 0.06979I 0
u = −1.263420 − 0.190404I
a = 0.255671 + 0.085952I
b = 0.396072 − 0.938866I
−4.28033 − 0.06979I 0
u = −1.057800 + 0.717890I
a = 0.019815 + 0.936804I
b = 1.368880 + 0.046309I
3.65497 + 12.33790I 0
u = −1.057800 − 0.717890I
a = 0.019815 − 0.936804I
b = 1.368880 − 0.046309I
3.65497 − 12.33790I 0
u = 1.097160 + 0.681470I
a = −1.60195 + 1.63849I
b = −0.50117 − 1.34000I
10.4966 − 11.6763I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.097160 − 0.681470I
a = −1.60195 − 1.63849I
b = −0.50117 + 1.34000I
10.4966 + 11.6763I 0
u = 0.324184 + 0.603283I
a = −0.35598 − 1.75498I
b = −0.395963 + 1.020450I
0.26929 + 2.74611I 0. − 3.99050I
u = 0.324184 − 0.603283I
a = −0.35598 + 1.75498I
b = −0.395963 − 1.020450I
0.26929 − 2.74611I 0. + 3.99050I
u = 0.651865 + 0.040838I
a = −0.28791 + 1.76543I
b = −0.377662 − 0.980166I
0.74001 − 2.86113I 0.48983 + 9.51285I
u = 0.651865 − 0.040838I
a = −0.28791 − 1.76543I
b = −0.377662 + 0.980166I
0.74001 + 2.86113I 0.48983 − 9.51285I
u = 0.371730 + 0.531762I
a = −1.43296 − 0.13471I
b = −0.075235 − 0.444757I
1.282380 − 0.028580I 6.72421 + 0.I
u = 0.371730 − 0.531762I
a = −1.43296 + 0.13471I
b = −0.075235 + 0.444757I
1.282380 + 0.028580I 6.72421 + 0.I
u = 1.158020 + 0.728105I
a = 1.43662 − 1.38373I
b = 0.62270 + 1.44339I
8.1292 − 19.2249I 0
u = 1.158020 − 0.728105I
a = 1.43662 + 1.38373I
b = 0.62270 − 1.44339I
8.1292 + 19.2249I 0
u = −1.167570 + 0.750211I
a = 1.17329 + 1.35511I
b = 0.405224 − 1.244280I
3.23701 + 12.35210I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.167570 − 0.750211I
a = 1.17329 − 1.35511I
b = 0.405224 + 1.244280I
3.23701 − 12.35210I 0
u = −0.526800 + 0.281339I
a = −0.044772 − 1.250000I
b = −1.061180 + 0.328323I
−1.68659 + 1.48642I −3.89465 − 1.87481I
u = −0.526800 − 0.281339I
a = −0.044772 + 1.250000I
b = −1.061180 − 0.328323I
−1.68659 − 1.48642I −3.89465 + 1.87481I
u = 1.24091 + 0.68700I
a = 0.960494 − 0.947844I
b = 0.006643 + 1.189320I
8.43109 − 4.36962I 0
u = 1.24091 − 0.68700I
a = 0.960494 + 0.947844I
b = 0.006643 − 1.189320I
8.43109 + 4.36962I 0
u = −1.41976 + 0.05176I
a = 0.460727 + 0.025043I
b = 0.379027 − 1.341340I
2.55405 + 9.85279I 0
u = −1.41976 − 0.05176I
a = 0.460727 − 0.025043I
b = 0.379027 + 1.341340I
2.55405 − 9.85279I 0
u = 0.452028 + 0.350835I
a = −1.368300 + 0.131305I
b = 0.040417 − 0.191224I
1.114650 + 0.168820I 9.57195 − 0.27721I
u = 0.452028 − 0.350835I
a = −1.368300 − 0.131305I
b = 0.040417 + 0.191224I
1.114650 − 0.168820I 9.57195 + 0.27721I
u = −0.219368 + 0.505607I
a = 0.273997 − 0.975751I
b = −0.828403 + 0.396864I
−1.66412 + 1.60791I −1.66565 − 3.98288I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.219368 − 0.505607I
a = 0.273997 + 0.975751I
b = −0.828403 − 0.396864I
−1.66412 − 1.60791I −1.66565 + 3.98288I
u = 1.18900 + 0.86881I
a = −0.851281 + 0.941237I
b = −0.04486 − 1.48679I
8.46970 − 0.93677I 0
u = 1.18900 − 0.86881I
a = −0.851281 − 0.941237I
b = −0.04486 + 1.48679I
8.46970 + 0.93677I 0
u = −0.114435 + 0.409672I
a = 1.34661 − 0.60517I
b = −0.231741 + 1.322640I
4.04119 + 5.40894I 7.65001 − 7.34240I
u = −0.114435 − 0.409672I
a = 1.34661 + 0.60517I
b = −0.231741 − 1.322640I
4.04119 − 5.40894I 7.65001 + 7.34240I
u = 1.57650 + 0.11429I
a = 0.080720 + 0.372110I
b = 0.105838 − 1.155980I
−2.34543 + 1.65223I 0
u = 1.57650 − 0.11429I
a = 0.080720 − 0.372110I
b = 0.105838 + 1.155980I
−2.34543 − 1.65223I 0
19
II.
I
u
2
= h5.52 × 10
9
u
45
+ 2.57 × 10
10
u
44
+ · · · + 1 .06 × 10
9
b − 2.21 × 10
10
, 6.48 ×
10
10
u
45
+3.37×10
10
u
44
+· · ·+1.06×10
9
a−2.58×10
10
, u
46
−14u
44
+· · ·+2u+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
10
=
−61.2269u
45
− 31.7971u
44
+ ··· + 155.575u + 24.3429
−5.21699u
45
− 24.2927u
44
+ ··· + 4.78111u + 20.8377
a
6
=
86.6796u
45
+ 28.8479u
44
+ ··· − 213.023u − 58.1226
−19.0850u
45
+ 5.45786u
44
+ ··· + 77.6882u + 8.78695
a
4
=
102.479u
45
+ 116.185u
44
+ ··· − 523.571u − 193.245
39.4376u
45
+ 46.6334u
44
+ ··· − 57.7586u − 31.6555
a
11
=
61.8999u
45
+ 68.7982u
44
+ ··· − 277.237u − 111.672
38.1696u
45
+ 43.0006u
44
+ ··· − 83.1193u − 15.2732
a
5
=
88.7181u
45
+ 23.8564u
44
+ ··· − 232.895u − 56.3967
−5.52510u
45
+ 4.82144u
44
+ ··· + 32.6598u + 3.51431
a
9
=
−66.4439u
45
− 56.0898u
44
+ ··· + 160.356u + 45.1806
−5.21699u
45
− 24.2927u
44
+ ··· + 4.78111u + 20.8377
a
12
=
−10.3969u
45
− 10.8975u
44
+ ··· + 183.784u + 64.8233
−4.45118u
45
− 5.54290u
44
+ ··· + 100.027u + 46.6299
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
38831777993
1058458619
u
45
−
41739227173
1058458619
u
44
+ ···−
56837966793
1058458619
u −
42548967662
1058458619
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
46
− 28u
45
+ ··· − 22u + 1
c
2
u
46
− 14u
44
+ ··· − 2u + 1
c
3
u
46
+ 14u
45
+ ··· − 2u + 1
c
4
u
46
− 16u
44
+ ··· − 4u + 1
c
5
u
46
+ 2u
45
+ ··· + 2u + 1
c
6
u
46
− 3u
45
+ ··· + u + 1
c
7
u
46
− 14u
44
+ ··· + 2u + 1
c
8
u
46
+ 7u
45
+ ··· − u + 1
c
9
u
46
+ 3u
45
+ ··· − u + 1
c
10
u
46
− 16u
44
+ ··· + 4u + 1
c
11
u
46
− 7u
45
+ ··· + u + 1
c
12
u
46
− 2u
45
+ ··· − 2u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
+ 4y
45
+ ··· − 22y + 1
c
2
, c
7
y
46
− 28y
45
+ ··· − 22y + 1
c
3
y
46
− 14y
45
+ ··· − 62y + 1
c
4
, c
10
y
46
− 32y
45
+ ··· − 40y + 1
c
5
, c
12
y
46
− 30y
45
+ ··· − 26y + 1
c
6
, c
9
y
46
+ 27y
45
+ ··· + 27y + 1
c
8
, c
11
y
46
+ 31y
45
+ ··· + 43y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.941575 + 0.273017I
a = −2.23100 + 0.97217I
b = −0.038933 − 0.671399I
−0.61468 + 5.24200I 4.39321 − 5.06826I
u = −0.941575 − 0.273017I
a = −2.23100 − 0.97217I
b = −0.038933 + 0.671399I
−0.61468 − 5.24200I 4.39321 + 5.06826I
u = 0.658091 + 0.791803I
a = 0.60029 − 1.95335I
b = 0.54584 + 1.37410I
10.03780 − 3.23649I 7.58461 + 2.27498I
u = 0.658091 − 0.791803I
a = 0.60029 + 1.95335I
b = 0.54584 − 1.37410I
10.03780 + 3.23649I 7.58461 − 2.27498I
u = −0.914724 + 0.321465I
a = 1.16770 − 2.62218I
b = −0.033229 − 0.564631I
−0.60065 − 2.76758I −2.52539 + 2.12739I
u = −0.914724 − 0.321465I
a = 1.16770 + 2.62218I
b = −0.033229 + 0.564631I
−0.60065 + 2.76758I −2.52539 − 2.12739I
u = 0.590098 + 0.704049I
a = 0.543027 + 0.189874I
b = 0.350018 − 0.619879I
2.89940 + 3.10731I 7.99927 − 2.63699I
u = 0.590098 − 0.704049I
a = 0.543027 − 0.189874I
b = 0.350018 + 0.619879I
2.89940 − 3.10731I 7.99927 + 2.63699I
u = 0.994784 + 0.483300I
a = 0.022092 + 1.315240I
b = −0.852832 + 0.196466I
−2.10131 − 1.85075I 0
u = 0.994784 − 0.483300I
a = 0.022092 − 1.315240I
b = −0.852832 − 0.196466I
−2.10131 + 1.85075I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.995342 + 0.483574I
a = −0.451161 − 0.429638I
b = −0.867391 − 0.206395I
−2.10229 + 3.88121I 0. − 4.80822I
u = −0.995342 − 0.483574I
a = −0.451161 + 0.429638I
b = −0.867391 + 0.206395I
−2.10229 − 3.88121I 0. + 4.80822I
u = 1.084100 + 0.285727I
a = −1.35965 − 0.60590I
b = −0.291905 − 1.164100I
1.74135 − 6.96543I 0. + 6.57505I
u = 1.084100 − 0.285727I
a = −1.35965 + 0.60590I
b = −0.291905 + 1.164100I
1.74135 + 6.96543I 0. − 6.57505I
u = 1.070640 + 0.428661I
a = −0.633804 + 1.210920I
b = −0.466817 + 0.760387I
−1.72294 − 1.51692I 0
u = 1.070640 − 0.428661I
a = −0.633804 − 1.210920I
b = −0.466817 − 0.760387I
−1.72294 + 1.51692I 0
u = 0.688884 + 0.485098I
a = −0.667155 − 0.755872I
b = 1.156300 + 0.233146I
−1.04835 − 2.13530I 2.50942 + 5.52868I
u = 0.688884 − 0.485098I
a = −0.667155 + 0.755872I
b = 1.156300 − 0.233146I
−1.04835 + 2.13530I 2.50942 − 5.52868I
u = −0.687782 + 0.484973I
a = 0.324408 + 0.881390I
b = 1.140670 − 0.248002I
−1.046510 + 0.105062I 1.081989 + 0.656492I
u = −0.687782 − 0.484973I
a = 0.324408 − 0.881390I
b = 1.140670 + 0.248002I
−1.046510 − 0.105062I 1.081989 − 0.656492I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.021360 + 0.605546I
a = −1.337250 − 0.159554I
b = −0.257783 − 0.512511I
1.59640 − 8.16110I 0
u = 1.021360 − 0.605546I
a = −1.337250 + 0.159554I
b = −0.257783 + 0.512511I
1.59640 + 8.16110I 0
u = −1.096350 + 0.459801I
a = −2.37170 − 0.44669I
b = −0.504332 + 0.852063I
−1.47848 + 5.70448I 0
u = −1.096350 − 0.459801I
a = −2.37170 + 0.44669I
b = −0.504332 − 0.852063I
−1.47848 − 5.70448I 0
u = 0.771158 + 0.201823I
a = 1.104520 + 0.738416I
b = 0.411509 − 1.236210I
3.02141 + 4.85755I 0.27012 − 4.21578I
u = 0.771158 − 0.201823I
a = 1.104520 − 0.738416I
b = 0.411509 + 1.236210I
3.02141 − 4.85755I 0.27012 + 4.21578I
u = 0.753626 + 0.220969I
a = −1.08457 + 1.86426I
b = 0.268544 + 0.704172I
−0.115122 − 1.332660I 0.635273 + 1.017517I
u = 0.753626 − 0.220969I
a = −1.08457 − 1.86426I
b = 0.268544 − 0.704172I
−0.115122 + 1.332660I 0.635273 − 1.017517I
u = −0.887596 + 0.834860I
a = 0.63157 + 1.57268I
b = 0.14666 − 1.58904I
6.83741 + 7.20753I 0
u = −0.887596 − 0.834860I
a = 0.63157 − 1.57268I
b = 0.14666 + 1.58904I
6.83741 − 7.20753I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.149340 + 0.465756I
a = −0.481766 − 0.596533I
b = −0.389939 + 0.862329I
6.32035 + 5.68739I 0
u = −1.149340 − 0.465756I
a = −0.481766 + 0.596533I
b = −0.389939 − 0.862329I
6.32035 − 5.68739I 0
u = −0.922465 + 0.885819I
a = 1.00037 + 1.30843I
b = 0.09648 − 1.49514I
6.76101 − 0.84775I 0
u = −0.922465 − 0.885819I
a = 1.00037 − 1.30843I
b = 0.09648 + 1.49514I
6.76101 + 0.84775I 0
u = −0.591225 + 0.337455I
a = −1.26145 + 0.93631I
b = 0.693756 + 0.908210I
8.43640 − 2.16890I 9.2342 + 11.7594I
u = −0.591225 − 0.337455I
a = −1.26145 − 0.93631I
b = 0.693756 − 0.908210I
8.43640 + 2.16890I 9.2342 − 11.7594I
u = 1.104440 + 0.772936I
a = 0.842450 − 0.931224I
b = −0.21419 + 1.42061I
8.68689 − 2.71906I 0
u = 1.104440 − 0.772936I
a = 0.842450 + 0.931224I
b = −0.21419 − 1.42061I
8.68689 + 2.71906I 0
u = −1.406740 + 0.109720I
a = −0.1060190 + 0.0777905I
b = −0.172181 − 0.985617I
−3.26040 − 1.62476I 0
u = −1.406740 − 0.109720I
a = −0.1060190 − 0.0777905I
b = −0.172181 + 0.985617I
−3.26040 + 1.62476I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.410240 + 0.050007I
a = −0.367156 − 0.520456I
b = −0.167782 + 0.985763I
−3.26083 − 0.27861I 0
u = 1.410240 − 0.050007I
a = −0.367156 + 0.520456I
b = −0.167782 − 0.985763I
−3.26083 + 0.27861I 0
u = −0.018982 + 0.580131I
a = 1.237600 − 0.612315I
b = 0.458913 + 0.883263I
1.17143 − 1.88478I 5.58955 + 1.51211I
u = −0.018982 − 0.580131I
a = 1.237600 + 0.612315I
b = 0.458913 − 0.883263I
1.17143 + 1.88478I 5.58955 − 1.51211I
u = −0.535288 + 0.114043I
a = 1.37865 − 2.20684I
b = 0.488628 + 0.931652I
0.96503 − 2.28552I 5.25897 − 1.16142I
u = −0.535288 − 0.114043I
a = 1.37865 + 2.20684I
b = 0.488628 − 0.931652I
0.96503 + 2.28552I 5.25897 + 1.16142I
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 28u
45
+ ··· − 22u + 1)
· (u
147
+ 65u
146
+ ··· + 6797777u + 277729)
c
2
(u
46
− 14u
44
+ ··· − 2u + 1)(u
147
− u
146
+ ··· + 1273u − 527)
c
3
(u
46
+ 14u
45
+ ··· − 2u + 1)
· (u
147
+ 5u
146
+ ··· − 487893741u + 95956559)
c
4
(u
46
− 16u
44
+ ··· − 4u + 1)(u
147
+ u
146
+ ··· − 434404u − 73112)
c
5
(u
46
+ 2u
45
+ ··· + 2u + 1)(u
147
− 3u
146
+ ··· − 1819273u − 573163)
c
6
(u
46
− 3u
45
+ ··· + u + 1)(u
147
− 2u
146
+ ··· − 976586u + 350333)
c
7
(u
46
− 14u
44
+ ··· + 2u + 1)(u
147
− u
146
+ ··· + 1273u − 527)
c
8
(u
46
+ 7u
45
+ ··· − u + 1)(u
147
+ 6u
146
+ ··· − 10u − 1)
c
9
(u
46
+ 3u
45
+ ··· − u + 1)(u
147
− 2u
146
+ ··· − 976586u + 350333)
c
10
(u
46
− 16u
44
+ ··· + 4u + 1)(u
147
+ u
146
+ ··· − 434404u − 73112)
c
11
(u
46
− 7u
45
+ ··· + u + 1)(u
147
+ 6u
146
+ ··· − 10u − 1)
c
12
(u
46
− 2u
45
+ ··· − 2u + 1)(u
147
− 3u
146
+ ··· − 1819273u − 573163)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
+ 4y
45
+ ··· − 22y + 1)
· (y
147
+ 59y
146
+ ··· − 2005730840055y −77133397441)
c
2
, c
7
(y
46
− 28y
45
+ ··· − 22y + 1)
· (y
147
− 65y
146
+ ··· + 6797777y −277729)
c
3
(y
46
− 14y
45
+ ··· − 62y + 1)
· (y
147
− 75y
146
+ ··· + 857754722402922901y −9207661215120481)
c
4
, c
10
(y
46
− 32y
45
+ ··· − 40y + 1)
· (y
147
− 109y
146
+ ··· − 76435879920y −5345364544)
c
5
, c
12
(y
46
− 30y
45
+ ··· − 26y + 1)
· (y
147
− 103y
146
+ ··· + 11878213249293y −328515824569)
c
6
, c
9
(y
46
+ 27y
45
+ ··· + 27y + 1)
· (y
147
+ 102y
146
+ ··· − 10016924047636y −122733210889)
c
8
, c
11
(y
46
+ 31y
45
+ ··· + 43y + 1)(y
147
+ 74y
146
+ ··· + 496y −1)
31
