12a
0484
(K12a
0484
)
A knot diagram
1
Linearized knot diagam
3 6 11 12 2 10 5 4 7 1 8 9
Solving Sequence
4,12 5,8
9 1 7 11 3 2 10 6
c
4
c
8
c
12
c
7
c
11
c
3
c
1
c
10
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.70177 × 10
1756
u
188
− 8.54670 × 10
1756
u
187
+ ··· + 3.45262 × 10
1756
b − 4.00960 × 10
1758
,
− 2.84589 × 10
1758
u
188
+ 2.22543 × 10
1759
u
187
+ ··· + 5.00630 × 10
1757
a + 6.93573 × 10
1759
,
u
189
− 8u
188
+ ··· − 79u − 29i
I
u
2
= h2.30944 × 10
46
u
38
+ 1.17665 × 10
46
u
37
+ ··· + 3.78715 × 10
46
b + 5.05705 × 10
46
,
5.02111 × 10
46
u
38
− 2.41670 × 10
45
u
37
+ ··· + 3.78715 × 10
46
a + 1.92218 × 10
46
, u
39
+ 2u
37
+ ··· + u + 1i
I
u
3
= hu
2
+ b + u − 1, a, u
3
− u + 1i
I
u
4
= hb
3
+ b
2
− 1, a, u + 1i
* 4 irreducible components of dim
C
= 0, with total 234 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
= h1.70 × 10
1756
u
188
− 8.55 × 10
1756
u
187
+ · · · + 3.45 × 10
1756
b − 4.01 ×
10
1758
, −2.85 × 10
1758
u
188
+ 2.23 × 10
1759
u
187
+ · · · + 5.01 × 10
1757
a +
6.94 × 10
1759
, u
189
− 8u
188
+ · · · − 79u − 29i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
8
=
5.68461u
188
− 44.4526u
187
+ ··· − 782.014u − 138.540
−0.492894u
188
+ 2.47542u
187
+ ··· + 328.895u + 116.132
a
9
=
5.19172u
188
− 41.9771u
187
+ ··· − 453.119u − 22.4081
−0.492894u
188
+ 2.47542u
187
+ ··· + 328.895u + 116.132
a
1
=
−3.36772u
188
+ 24.7145u
187
+ ··· + 813.429u + 190.147
−0.111564u
188
+ 0.839054u
187
+ ··· + 75.0790u + 16.1404
a
7
=
7.22709u
188
− 58.0830u
187
+ ··· − 698.897u − 52.1145
−0.907974u
188
+ 6.31775u
187
+ ··· + 271.671u + 78.7054
a
11
=
−4.34178u
188
+ 31.5260u
187
+ ··· + 999.331u + 256.114
1.08563u
188
− 7.65047u
187
+ ··· − 258.981u − 82.1081
a
3
=
1.65724u
188
− 20.1512u
187
+ ··· + 1296.54u + 598.469
−2.22531u
188
+ 19.0249u
187
+ ··· − 28.9240u − 81.4809
a
2
=
4.14978u
188
− 30.7763u
187
+ ··· − 957.636u − 228.563
−0.462116u
188
+ 3.85116u
187
+ ··· + 36.8251u − 0.364084
a
10
=
−3.72955u
188
+ 30.1501u
187
+ ··· + 400.274u − 12.8958
0.450649u
188
− 3.76241u
187
+ ··· + 7.56524u + 13.0644
a
6
=
11.1729u
188
− 89.7928u
187
+ ··· − 927.699u − 30.6737
−1.81023u
188
+ 13.7963u
187
+ ··· + 331.685u + 69.5307
(ii) Obstruction class = −1
(iii) Cusp Shapes = 12.0861u
188
− 100.517u
187
+ ··· − 741.562u + 82.8947
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
189
+ 86u
188
+ ··· + 12226241u + 339889
c
2
, c
5
u
189
− 43u
187
+ ··· − 6703u + 583
c
3
u
189
+ 4u
188
+ ··· + 60188019890u + 5986213211
c
4
u
189
+ 8u
188
+ ··· − 79u + 29
c
6
, c
9
u
189
− 8u
188
+ ··· + 54826u + 4031
c
7
u
189
− 8u
188
+ ··· + 204513953u + 32543267
c
8
u
189
− 3u
188
+ ··· − 26u + 1
c
10
u
189
− 6u
188
+ ··· − 47525u + 32287
c
11
u
189
+ 10u
188
+ ··· + 2304u − 704
c
12
u
189
+ u
188
+ ··· + 46221377u + 1765261
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
189
+ 50y
188
+ ··· − 10262219485735y −115524532321
c
2
, c
5
y
189
− 86y
188
+ ··· + 12226241y −339889
c
3
y
189
− 102y
188
+ ··· + 3.80 × 10
21
y −3.58 × 10
19
c
4
y
189
+ 12y
188
+ ··· − 80179y −841
c
6
, c
9
y
189
+ 124y
188
+ ··· + 2605740968y −16248961
c
7
y
189
+ 62y
188
+ ··· − 276984664046356039y −1059064227033289
c
8
y
189
− 33y
188
+ ··· − 54y −1
c
10
y
189
− 28y
188
+ ··· + 280760605113y −1042450369
c
11
y
189
+ 40y
188
+ ··· − 25982976y −495616
c
12
y
189
− 31y
188
+ ··· + 793233634931023y −3116146398121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.844132 + 0.532140I
a = 1.367490 − 0.140585I
b = −0.082072 + 0.219551I
−3.27061 − 6.93518I 0
u = 0.844132 − 0.532140I
a = 1.367490 + 0.140585I
b = −0.082072 − 0.219551I
−3.27061 + 6.93518I 0
u = 0.077394 + 0.992560I
a = 0.167460 + 1.027600I
b = −0.147882 − 0.006886I
1.67076 − 2.02837I 0
u = 0.077394 − 0.992560I
a = 0.167460 − 1.027600I
b = −0.147882 + 0.006886I
1.67076 + 2.02837I 0
u = 0.524312 + 0.826486I
a = 1.75584 − 0.14496I
b = −1.24305 + 1.02209I
−1.60540 − 7.04570I 0
u = 0.524312 − 0.826486I
a = 1.75584 + 0.14496I
b = −1.24305 − 1.02209I
−1.60540 + 7.04570I 0
u = −0.441435 + 0.870709I
a = −1.86746 − 0.44683I
b = 0.618269 + 0.467411I
2.98882 + 7.55128I 0
u = −0.441435 − 0.870709I
a = −1.86746 + 0.44683I
b = 0.618269 − 0.467411I
2.98882 − 7.55128I 0
u = 0.438106 + 0.925981I
a = 1.73462 − 0.26957I
b = −0.666435 + 0.470472I
3.77987 − 2.03293I 0
u = 0.438106 − 0.925981I
a = 1.73462 + 0.26957I
b = −0.666435 − 0.470472I
3.77987 + 2.03293I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.972403 + 0.329413I
a = 0.255873 + 0.228769I
b = −0.797104 − 1.119670I
−2.96973 + 5.60185I 0
u = −0.972403 − 0.329413I
a = 0.255873 − 0.228769I
b = −0.797104 + 1.119670I
−2.96973 − 5.60185I 0
u = 0.961003 + 0.375663I
a = −0.383816 + 0.060999I
b = 0.781064 − 0.964056I
−2.22675 − 1.38549I 0
u = 0.961003 − 0.375663I
a = −0.383816 − 0.060999I
b = 0.781064 + 0.964056I
−2.22675 + 1.38549I 0
u = −0.463199 + 0.846971I
a = 0.454457 − 0.347296I
b = −0.583755 + 1.177940I
2.97669 − 3.14052I 0
u = −0.463199 − 0.846971I
a = 0.454457 + 0.347296I
b = −0.583755 − 1.177940I
2.97669 + 3.14052I 0
u = 0.592075 + 0.857434I
a = 1.48918 − 0.32631I
b = −1.11116 + 1.04655I
−1.96159 − 2.07286I 0
u = 0.592075 − 0.857434I
a = 1.48918 + 0.32631I
b = −1.11116 − 1.04655I
−1.96159 + 2.07286I 0
u = −0.935869 + 0.465004I
a = −1.114220 + 0.027624I
b = 1.44762 + 0.78090I
−1.03319 + 5.83684I 0
u = −0.935869 − 0.465004I
a = −1.114220 − 0.027624I
b = 1.44762 − 0.78090I
−1.03319 − 5.83684I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.255882 + 1.027360I
a = −0.752980 + 0.237470I
b = 1.21569 − 1.14741I
2.14568 − 8.64009I 0
u = 0.255882 − 1.027360I
a = −0.752980 − 0.237470I
b = 1.21569 + 1.14741I
2.14568 + 8.64009I 0
u = −0.909427 + 0.242629I
a = −0.092777 + 0.264208I
b = −0.603081 − 1.219320I
−3.56617 + 0.88904I 0
u = −0.909427 − 0.242629I
a = −0.092777 − 0.264208I
b = −0.603081 + 1.219320I
−3.56617 − 0.88904I 0
u = −0.760735 + 0.741973I
a = −1.269530 − 0.033212I
b = 1.20647 + 0.85554I
−0.93550 + 5.08812I 0
u = −0.760735 − 0.741973I
a = −1.269530 + 0.033212I
b = 1.20647 − 0.85554I
−0.93550 − 5.08812I 0
u = 1.024840 + 0.334092I
a = 1.061180 − 0.010190I
b = −1.55032 + 0.71913I
−2.78237 − 10.75200I 0
u = 1.024840 − 0.334092I
a = 1.061180 + 0.010190I
b = −1.55032 − 0.71913I
−2.78237 + 10.75200I 0
u = −0.481971 + 0.785729I
a = −1.78773 + 0.03819I
b = 1.24712 + 0.96515I
−1.12829 + 3.14613I 0
u = −0.481971 − 0.785729I
a = −1.78773 − 0.03819I
b = 1.24712 − 0.96515I
−1.12829 − 3.14613I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.404919 + 0.797425I
a = −0.577919 − 0.289557I
b = 0.85399 + 1.19964I
4.06193 − 2.39062I 0
u = 0.404919 − 0.797425I
a = −0.577919 + 0.289557I
b = 0.85399 − 1.19964I
4.06193 + 2.39062I 0
u = −0.816150 + 0.344293I
a = 1.77048 − 1.32209I
b = −0.400733 − 0.862039I
−1.93309 + 11.59360I 0
u = −0.816150 − 0.344293I
a = 1.77048 + 1.32209I
b = −0.400733 + 0.862039I
−1.93309 − 11.59360I 0
u = 0.394173 + 1.050300I
a = 0.362217 + 1.161710I
b = −0.505060 − 0.119546I
2.05531 + 2.16455I 0
u = 0.394173 − 1.050300I
a = 0.362217 − 1.161710I
b = −0.505060 + 0.119546I
2.05531 − 2.16455I 0
u = 0.852184 + 0.201220I
a = −1.26967 − 1.84751I
b = 0.267026 − 0.882857I
0.21583 − 5.10553I 0
u = 0.852184 − 0.201220I
a = −1.26967 + 1.84751I
b = 0.267026 + 0.882857I
0.21583 + 5.10553I 0
u = −0.563946 + 0.980423I
a = −1.077420 − 0.483235I
b = 0.831708 + 0.998947I
−1.88915 + 5.05174I 0
u = −0.563946 − 0.980423I
a = −1.077420 + 0.483235I
b = 0.831708 − 0.998947I
−1.88915 − 5.05174I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.231199 + 0.836142I
a = 0.876289 + 0.187217I
b = −1.32730 − 1.19266I
4.62208 + 3.22300I 0
u = −0.231199 − 0.836142I
a = 0.876289 − 0.187217I
b = −1.32730 + 1.19266I
4.62208 − 3.22300I 0
u = −1.010300 + 0.515302I
a = 0.963300 − 0.276561I
b = −0.538426 − 0.958597I
−8.79744 + 2.92392I 0
u = −1.010300 − 0.515302I
a = 0.963300 + 0.276561I
b = −0.538426 + 0.958597I
−8.79744 − 2.92392I 0
u = 0.812549 + 0.223532I
a = 0.364062 + 0.113016I
b = 0.451133 − 1.162430I
−3.49480 − 4.44374I 0
u = 0.812549 − 0.223532I
a = 0.364062 − 0.113016I
b = 0.451133 + 1.162430I
−3.49480 + 4.44374I 0
u = 1.050640 + 0.485882I
a = −0.772908 − 0.040764I
b = 0.537958 − 0.866296I
−3.95762 − 0.09851I 0
u = 1.050640 − 0.485882I
a = −0.772908 + 0.040764I
b = 0.537958 + 0.866296I
−3.95762 + 0.09851I 0
u = −0.483455 + 0.675596I
a = −1.70770 − 0.53072I
b = 0.538001 + 0.232331I
−0.74435 + 3.34325I 0
u = −0.483455 − 0.675596I
a = −1.70770 + 0.53072I
b = 0.538001 − 0.232331I
−0.74435 − 3.34325I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.524063 + 1.064440I
a = −0.402397 + 1.064550I
b = 0.606440 − 0.082251I
2.32165 + 1.90131I 0
u = −0.524063 − 1.064440I
a = −0.402397 − 1.064550I
b = 0.606440 + 0.082251I
2.32165 − 1.90131I 0
u = −1.074810 + 0.523504I
a = 0.874974 + 0.057224I
b = −0.473977 − 0.886927I
−6.14757 − 4.91011I 0
u = −1.074810 − 0.523504I
a = 0.874974 − 0.057224I
b = −0.473977 + 0.886927I
−6.14757 + 4.91011I 0
u = 1.243220 + 0.004215I
a = 0.553465 + 0.552475I
b = 0.208318 + 0.147278I
−5.02031 + 1.15207I 0
u = 1.243220 − 0.004215I
a = 0.553465 − 0.552475I
b = 0.208318 − 0.147278I
−5.02031 − 1.15207I 0
u = 0.721507 + 0.226432I
a = 0.951470 + 0.153049I
b = −1.68227 + 1.00752I
−5.37364 − 3.67245I 0
u = 0.721507 − 0.226432I
a = 0.951470 − 0.153049I
b = −1.68227 − 1.00752I
−5.37364 + 3.67245I 0
u = −0.335489 + 1.198390I
a = −0.484398 − 0.607342I
b = 0.395175 + 0.966399I
−1.82265 − 1.07337I 0
u = −0.335489 − 1.198390I
a = −0.484398 + 0.607342I
b = 0.395175 − 0.966399I
−1.82265 + 1.07337I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.266710 + 0.681834I
a = −1.94690 + 0.63885I
b = 1.050420 + 0.762270I
0.43756 + 6.91669I 0
u = −0.266710 − 0.681834I
a = −1.94690 − 0.63885I
b = 1.050420 − 0.762270I
0.43756 − 6.91669I 0
u = 0.489581 + 0.517741I
a = 0.18796 − 1.81514I
b = 0.493139 − 0.510698I
−4.38188 − 5.01571I 0
u = 0.489581 − 0.517741I
a = 0.18796 + 1.81514I
b = 0.493139 + 0.510698I
−4.38188 + 5.01571I 0
u = 0.087711 + 0.685167I
a = 1.30233 − 0.56725I
b = −0.558581 + 0.531308I
0.39710 − 1.51746I 0
u = 0.087711 − 0.685167I
a = 1.30233 + 0.56725I
b = −0.558581 − 0.531308I
0.39710 + 1.51746I 0
u = 0.317614 + 0.610850I
a = −0.881266 − 0.165362I
b = 1.25700 + 1.54157I
2.59339 − 6.52868I 0
u = 0.317614 − 0.610850I
a = −0.881266 + 0.165362I
b = 1.25700 − 1.54157I
2.59339 + 6.52868I 0
u = −0.167902 + 0.666517I
a = 0.719032 − 0.016126I
b = −1.52188 + 1.30767I
−3.47856 + 3.52806I 0
u = −0.167902 − 0.666517I
a = 0.719032 + 0.016126I
b = −1.52188 − 1.30767I
−3.47856 − 3.52806I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.677043
a = −0.424291
b = 0.526404
−1.43580 0
u = 0.081615 + 0.669299I
a = 1.40236 + 1.09125I
b = −0.556496 + 0.292055I
1.26413 − 1.46648I 0
u = 0.081615 − 0.669299I
a = 1.40236 − 1.09125I
b = −0.556496 − 0.292055I
1.26413 + 1.46648I 0
u = 0.268361 + 0.615599I
a = 1.83616 − 0.81958I
b = −1.167780 + 0.418979I
−1.25443 − 1.72378I 0
u = 0.268361 − 0.615599I
a = 1.83616 + 0.81958I
b = −1.167780 − 0.418979I
−1.25443 + 1.72378I 0
u = 0.235481 + 0.621858I
a = −1.35110 − 3.06287I
b = 0.599894 − 0.147442I
0.77199 − 11.89590I 0
u = 0.235481 − 0.621858I
a = −1.35110 + 3.06287I
b = 0.599894 + 0.147442I
0.77199 + 11.89590I 0
u = −0.235705 + 0.620684I
a = −1.51456 − 0.95016I
b = 0.847642 + 0.762450I
−1.78601 + 4.74239I 0
u = −0.235705 − 0.620684I
a = −1.51456 + 0.95016I
b = 0.847642 − 0.762450I
−1.78601 − 4.74239I 0
u = −0.630763 + 0.201822I
a = −2.31218 + 0.63760I
b = −0.0336281 − 0.0569258I
−0.59361 + 2.46515I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.630763 − 0.201822I
a = −2.31218 − 0.63760I
b = −0.0336281 + 0.0569258I
−0.59361 − 2.46515I 0
u = −0.322579 + 0.558684I
a = 0.985372 − 0.137209I
b = −1.29216 + 1.64277I
0.40516 + 12.26590I 0
u = −0.322579 − 0.558684I
a = 0.985372 + 0.137209I
b = −1.29216 − 1.64277I
0.40516 − 12.26590I 0
u = 0.170282 + 0.620992I
a = 1.96068 + 0.89202I
b = −0.819585 + 0.665835I
1.35906 − 2.11803I 0
u = 0.170282 − 0.620992I
a = 1.96068 − 0.89202I
b = −0.819585 − 0.665835I
1.35906 + 2.11803I 0
u = −0.454859 + 1.279230I
a = 0.034885 − 0.188016I
b = 0.055841 + 0.840980I
0.248250 + 1.224000I 0
u = −0.454859 − 1.279230I
a = 0.034885 + 0.188016I
b = 0.055841 − 0.840980I
0.248250 − 1.224000I 0
u = 0.640619 + 1.198240I
a = 0.737006 − 0.192653I
b = −0.666276 + 0.708786I
0.61486 − 2.11598I 0
u = 0.640619 − 1.198240I
a = 0.737006 + 0.192653I
b = −0.666276 − 0.708786I
0.61486 + 2.11598I 0
u = −1.357670 + 0.119686I
a = −0.049391 + 1.102370I
b = 0.064585 + 1.357130I
−7.92440 − 0.51009I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.357670 − 0.119686I
a = −0.049391 − 1.102370I
b = 0.064585 − 1.357130I
−7.92440 + 0.51009I 0
u = −0.012203 + 0.636852I
a = 1.230400 + 0.083673I
b = −1.43696 − 1.28475I
6.05486 − 0.09984I 0
u = −0.012203 − 0.636852I
a = 1.230400 − 0.083673I
b = −1.43696 + 1.28475I
6.05486 + 0.09984I 0
u = 0.260783 + 0.571551I
a = 2.02472 − 0.62077I
b = −1.43161 − 0.03146I
−0.08325 − 6.80285I 0
u = 0.260783 − 0.571551I
a = 2.02472 + 0.62077I
b = −1.43161 + 0.03146I
−0.08325 + 6.80285I 0
u = −0.756069 + 1.152430I
a = −0.571428 + 0.697157I
b = 0.762376 + 0.104978I
2.99358 − 1.74308I 0
u = −0.756069 − 1.152430I
a = −0.571428 − 0.697157I
b = 0.762376 − 0.104978I
2.99358 + 1.74308I 0
u = −0.045483 + 0.602960I
a = 2.82163 + 1.88694I
b = −0.792733 − 0.003213I
4.82762 − 5.13173I 0
u = −0.045483 − 0.602960I
a = 2.82163 − 1.88694I
b = −0.792733 + 0.003213I
4.82762 + 5.13173I 0
u = −0.051956 + 0.602025I
a = −1.392710 + 0.034084I
b = 1.45824 − 1.24613I
4.82118 + 5.56131I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.051956 − 0.602025I
a = −1.392710 − 0.034084I
b = 1.45824 + 1.24613I
4.82118 − 5.56131I 0
u = −0.266225 + 0.540220I
a = −1.93487 − 0.52391I
b = 1.256370 − 0.286755I
0.84603 + 2.52016I 0
u = −0.266225 − 0.540220I
a = −1.93487 + 0.52391I
b = 1.256370 + 0.286755I
0.84603 − 2.52016I 0
u = −0.886140 + 1.093620I
a = 0.940552 − 0.137753I
b = −1.20432 − 0.99862I
5.25109 + 5.60984I 0
u = −0.886140 − 1.093620I
a = 0.940552 + 0.137753I
b = −1.20432 + 0.99862I
5.25109 − 5.60984I 0
u = 1.063740 + 0.922828I
a = 1.017150 + 0.499999I
b = −0.854229 + 0.980501I
3.58043 − 2.85865I 0
u = 1.063740 − 0.922828I
a = 1.017150 − 0.499999I
b = −0.854229 − 0.980501I
3.58043 + 2.85865I 0
u = 0.344209 + 0.479316I
a = −0.812054 − 0.041760I
b = 1.61015 − 1.12115I
−0.479240 − 0.477571I 0
u = 0.344209 − 0.479316I
a = −0.812054 + 0.041760I
b = 1.61015 + 1.12115I
−0.479240 + 0.477571I 0
u = 0.920549 + 1.073340I
a = −0.851118 − 0.283576I
b = 1.16919 − 1.02638I
2.54489 + 0.13855I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.920549 − 1.073340I
a = −0.851118 + 0.283576I
b = 1.16919 + 1.02638I
2.54489 − 0.13855I 0
u = 1.00372 + 0.99937I
a = −0.909124 + 0.061102I
b = 1.23895 − 0.87938I
0.77026 − 8.53390I 0
u = 1.00372 − 0.99937I
a = −0.909124 − 0.061102I
b = 1.23895 + 0.87938I
0.77026 + 8.53390I 0
u = −0.219850 + 0.535539I
a = 1.05842 − 3.88011I
b = −0.494842 − 0.137031I
2.30618 + 5.99542I 0
u = −0.219850 − 0.535539I
a = 1.05842 + 3.88011I
b = −0.494842 + 0.137031I
2.30618 − 5.99542I 0
u = 0.82412 + 1.15851I
a = 1.172410 + 0.028885I
b = −0.937354 + 0.559992I
3.96923 − 2.20695I 0
u = 0.82412 − 1.15851I
a = 1.172410 − 0.028885I
b = −0.937354 − 0.559992I
3.96923 + 2.20695I 0
u = 0.80867 + 1.18886I
a = 0.640034 + 0.502326I
b = −0.780551 + 0.232826I
3.24777 − 2.86432I 0
u = 0.80867 − 1.18886I
a = 0.640034 − 0.502326I
b = −0.780551 − 0.232826I
3.24777 + 2.86432I 0
u = −0.89461 + 1.13886I
a = 1.089060 + 0.017963I
b = −1.18989 − 1.03279I
6.60842 + 9.04216I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.89461 − 1.13886I
a = 1.089060 − 0.017963I
b = −1.18989 + 1.03279I
6.60842 − 9.04216I 0
u = −0.409410 + 0.352386I
a = −1.85448 − 0.63895I
b = 0.303811 − 0.552014I
−0.41686 + 2.63883I 0
u = −0.409410 − 0.352386I
a = −1.85448 + 0.63895I
b = 0.303811 + 0.552014I
−0.41686 − 2.63883I 0
u = 0.89838 + 1.15540I
a = −1.109320 + 0.071524I
b = 1.17848 − 1.05927I
5.1536 − 14.5214I 0
u = 0.89838 − 1.15540I
a = −1.109320 − 0.071524I
b = 1.17848 + 1.05927I
5.1536 + 14.5214I 0
u = 0.060305 + 0.530113I
a = −3.13822 + 2.42922I
b = 0.706207 − 0.047934I
5.56092 − 0.10749I 15.6493 + 0.I
u = 0.060305 − 0.530113I
a = −3.13822 − 2.42922I
b = 0.706207 + 0.047934I
5.56092 + 0.10749I 15.6493 + 0.I
u = 1.05724 + 1.02280I
a = −0.486663 − 0.217216I
b = 0.844779 + 0.215914I
3.69257 − 4.35055I 0
u = 1.05724 − 1.02280I
a = −0.486663 + 0.217216I
b = 0.844779 − 0.215914I
3.69257 + 4.35055I 0
u = −0.99527 + 1.09427I
a = 0.684607 − 0.527663I
b = −0.607785 − 0.084516I
3.33722 + 0.44129I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.99527 − 1.09427I
a = 0.684607 + 0.527663I
b = −0.607785 + 0.084516I
3.33722 − 0.44129I 0
u = 0.98759 + 1.11050I
a = −0.925557 + 0.069268I
b = 1.12483 − 0.91745I
0.70226 − 8.45051I 0
u = 0.98759 − 1.11050I
a = −0.925557 − 0.069268I
b = 1.12483 + 0.91745I
0.70226 + 8.45051I 0
u = −0.91970 + 1.16904I
a = −1.168000 − 0.038053I
b = 1.007010 + 0.539029I
3.61950 + 7.75366I 0
u = −0.91970 − 1.16904I
a = −1.168000 + 0.038053I
b = 1.007010 − 0.539029I
3.61950 − 7.75366I 0
u = 1.17443 + 0.93104I
a = 0.368434 + 0.248280I
b = −1.155530 − 0.010863I
1.76200 − 7.54938I 0
u = 1.17443 − 0.93104I
a = 0.368434 − 0.248280I
b = −1.155530 + 0.010863I
1.76200 + 7.54938I 0
u = −0.431476 + 0.227437I
a = 1.83655 + 1.60461I
b = 0.560793 + 0.029467I
2.39545 + 0.04738I 8.63975 + 4.92906I
u = −0.431476 − 0.227437I
a = 1.83655 − 1.60461I
b = 0.560793 − 0.029467I
2.39545 − 0.04738I 8.63975 − 4.92906I
u = −1.15016 + 0.98968I
a = 0.975379 + 0.042846I
b = −1.31388 − 0.74121I
0.87643 + 5.29884I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.15016 − 0.98968I
a = 0.975379 − 0.042846I
b = −1.31388 + 0.74121I
0.87643 − 5.29884I 0
u = −1.08542 + 1.06782I
a = −0.985784 + 0.273166I
b = 1.04778 + 0.98975I
4.59730 + 9.74869I 0
u = −1.08542 − 1.06782I
a = −0.985784 − 0.273166I
b = 1.04778 − 0.98975I
4.59730 − 9.74869I 0
u = −0.171998 + 0.443641I
a = −1.09075 − 1.20891I
b = 0.373131 + 0.907529I
−2.13646 − 1.22497I −7.23805 + 2.29894I
u = −0.171998 − 0.443641I
a = −1.09075 + 1.20891I
b = 0.373131 − 0.907529I
−2.13646 + 1.22497I −7.23805 − 2.29894I
u = 0.441227 + 0.110365I
a = 1.69597 − 0.01355I
b = −0.094581 − 1.070720I
−2.60943 + 1.09946I −6.23941 + 0.I
u = 0.441227 − 0.110365I
a = 1.69597 + 0.01355I
b = −0.094581 + 1.070720I
−2.60943 − 1.09946I −6.23941 + 0.I
u = −1.08992 + 1.14226I
a = −1.024420 + 0.065638I
b = 1.19161 + 1.03466I
3.4316 + 15.3781I 0
u = −1.08992 − 1.14226I
a = −1.024420 − 0.065638I
b = 1.19161 − 1.03466I
3.4316 − 15.3781I 0
u = 1.09196 + 1.14849I
a = 1.034270 + 0.027515I
b = −1.21129 + 1.05153I
1.2948 − 21.3546I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.09196 − 1.14849I
a = 1.034270 − 0.027515I
b = −1.21129 − 1.05153I
1.2948 + 21.3546I 0
u = 1.10897 + 1.13709I
a = 0.921681 + 0.081543I
b = −1.14456 + 1.06672I
−3.28380 − 12.38740I 0
u = 1.10897 − 1.13709I
a = 0.921681 − 0.081543I
b = −1.14456 − 1.06672I
−3.28380 + 12.38740I 0
u = −1.04078 + 1.20250I
a = 0.422968 − 0.246165I
b = −0.857885 + 0.213462I
4.82035 − 1.65233I 0
u = −1.04078 − 1.20250I
a = 0.422968 + 0.246165I
b = −0.857885 − 0.213462I
4.82035 + 1.65233I 0
u = −1.21538 + 1.05554I
a = 0.990572 − 0.044408I
b = −1.29939 − 0.58811I
1.66886 + 9.76029I 0
u = −1.21538 − 1.05554I
a = 0.990572 + 0.044408I
b = −1.29939 + 0.58811I
1.66886 − 9.76029I 0
u = −1.28768 + 0.99852I
a = −0.278222 + 0.242215I
b = 0.949734 − 0.006643I
4.10387 + 2.04504I 0
u = −1.28768 − 0.99852I
a = −0.278222 − 0.242215I
b = 0.949734 + 0.006643I
4.10387 − 2.04504I 0
u = 1.20701 + 1.09782I
a = −0.946243 − 0.073432I
b = 1.218210 − 0.547323I
2.08549 − 5.40614I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.20701 − 1.09782I
a = −0.946243 + 0.073432I
b = 1.218210 + 0.547323I
2.08549 + 5.40614I 0
u = −0.189224 + 0.315371I
a = −0.54390 + 1.96246I
b = −0.02776 + 1.49683I
−4.58938 + 1.91623I −4.83464 + 4.01012I
u = −0.189224 − 0.315371I
a = −0.54390 − 1.96246I
b = −0.02776 − 1.49683I
−4.58938 − 1.91623I −4.83464 − 4.01012I
u = 1.13665 + 1.18350I
a = −0.665725 − 0.356787I
b = 0.689856 − 0.199206I
3.02741 − 6.28281I 0
u = 1.13665 − 1.18350I
a = −0.665725 + 0.356787I
b = 0.689856 + 0.199206I
3.02741 + 6.28281I 0
u = −1.01710 + 1.34375I
a = 0.612881 + 0.256059I
b = −0.608287 − 0.946936I
−3.35280 + 12.48480I 0
u = −1.01710 − 1.34375I
a = 0.612881 − 0.256059I
b = −0.608287 + 0.946936I
−3.35280 − 12.48480I 0
u = 1.09068 + 1.31294I
a = −0.625960 + 0.126929I
b = 0.667058 − 0.793365I
−0.91527 − 7.71323I 0
u = 1.09068 − 1.31294I
a = −0.625960 − 0.126929I
b = 0.667058 + 0.793365I
−0.91527 + 7.71323I 0
u = 0.089240 + 0.248168I
a = 0.90202 + 5.40734I
b = 0.407742 + 0.739257I
0.913950 + 0.611380I −2.16199 − 2.04306I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.089240 − 0.248168I
a = 0.90202 − 5.40734I
b = 0.407742 − 0.739257I
0.913950 − 0.611380I −2.16199 + 2.04306I
u = −0.141934 + 0.218701I
a = 1.32176 + 4.57008I
b = −0.711751 + 0.888034I
−1.21513 − 6.07843I −3.61863 + 5.41778I
u = −0.141934 − 0.218701I
a = 1.32176 − 4.57008I
b = −0.711751 − 0.888034I
−1.21513 + 6.07843I −3.61863 − 5.41778I
u = 1.56191 + 0.79811I
a = −0.005232 + 0.364813I
b = −0.511964 − 0.346712I
3.50403 + 6.66593I 0
u = 1.56191 − 0.79811I
a = −0.005232 − 0.364813I
b = −0.511964 + 0.346712I
3.50403 − 6.66593I 0
u = −1.54075 + 0.87352I
a = −0.065815 + 0.329882I
b = 0.599698 − 0.258205I
5.05216 − 1.23467I 0
u = −1.54075 − 0.87352I
a = −0.065815 − 0.329882I
b = 0.599698 + 0.258205I
5.05216 + 1.23467I 0
u = 1.13226 + 1.36266I
a = 0.243292 − 0.004502I
b = −0.693355 + 0.520331I
−0.638419 + 0.898448I 0
u = 1.13226 − 1.36266I
a = 0.243292 + 0.004502I
b = −0.693355 − 0.520331I
−0.638419 − 0.898448I 0
u = −1.18472 + 1.45371I
a = 0.420243 + 0.092969I
b = −0.428362 − 0.690253I
−5.31434 + 4.48868I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18472 − 1.45371I
a = 0.420243 − 0.092969I
b = −0.428362 + 0.690253I
−5.31434 − 4.48868I 0
u = −1.23792 + 1.41110I
a = 0.242347 − 0.340813I
b = −0.738701 + 0.237052I
3.36655 − 6.57377I 0
u = −1.23792 − 1.41110I
a = 0.242347 + 0.340813I
b = −0.738701 − 0.237052I
3.36655 + 6.57377I 0
u = 1.29565 + 1.40339I
a = −0.193302 − 0.376045I
b = 0.700814 + 0.268880I
1.16105 + 12.49650I 0
u = 1.29565 − 1.40339I
a = −0.193302 + 0.376045I
b = 0.700814 − 0.268880I
1.16105 − 12.49650I 0
u = 1.10470 + 1.59096I
a = −0.236825 − 0.203760I
b = 0.745074 + 0.103470I
−3.04817 + 3.40575I 0
u = 1.10470 − 1.59096I
a = −0.236825 + 0.203760I
b = 0.745074 − 0.103470I
−3.04817 − 3.40575I 0
u = 2.19128 + 1.20639I
a = −0.0016608 + 0.0959812I
b = −0.293028 + 0.031794I
−0.520981 + 0.110241I 0
u = 2.19128 − 1.20639I
a = −0.0016608 − 0.0959812I
b = −0.293028 − 0.031794I
−0.520981 − 0.110241I 0
23
II.
I
u
2
= h2.31 × 10
46
u
38
+ 1.18 × 10
46
u
37
+ · · · + 3.79 × 10
46
b + 5.06 × 10
46
, 5.02 ×
10
46
u
38
−2.42×10
45
u
37
+· · ·+3.79×10
46
a+1.92×10
46
, u
39
+2u
37
+· · ·+u+1i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
8
=
−1.32583u
38
+ 0.0638133u
37
+ ··· − 3.59675u − 0.507553
−0.609808u
38
− 0.310696u
37
+ ··· − 1.89669u − 1.33532
a
9
=
−1.93564u
38
− 0.246883u
37
+ ··· − 5.49344u − 1.84287
−0.609808u
38
− 0.310696u
37
+ ··· − 1.89669u − 1.33532
a
1
=
−1.30654u
38
− 0.479842u
37
+ ··· − 0.101594u − 1.79624
−0.407134u
38
− 0.614302u
37
+ ··· + 1.07923u − 0.934345
a
7
=
−2.19818u
38
− 0.522051u
37
+ ··· − 6.75545u − 1.77906
−0.382665u
38
− 0.230865u
37
+ ··· − 0.438478u − 0.749454
a
11
=
−0.773935u
38
+ 1.00293u
37
+ ··· − 0.643403u − 0.0927210
−0.125477u
38
− 0.868469u
37
+ ··· + 1.46258u − 0.769170
a
3
=
−3.03765u
38
+ 1.33565u
37
+ ··· − 3.65311u + 1.95457
−0.672762u
38
+ 0.689076u
37
+ ··· − 1.05557u + 0.901577
a
2
=
0.233760u
38
+ 0.988533u
37
+ ··· + 3.85465u + 2.78755
0.435567u
38
+ 0.343185u
37
+ ··· + 1.01782u + 1.42206
a
10
=
−2.82373u
38
+ 1.55593u
37
+ ··· − 12.7088u − 2.83904
−0.797239u
38
− 0.0473541u
37
+ ··· − 3.39914u − 0.743487
a
6
=
1.65783u
38
− 0.710846u
37
+ ··· + 6.91783u + 1.66060
0.842722u
38
+ 0.287640u
37
+ ··· + 3.17925u + 2.11782
(ii) Obstruction class = 1
(iii) Cusp Shapes = 7.16520u
38
− 4.54277u
37
+ ··· + 12.4880u − 0.378773
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
39
− 21u
38
+ ··· + 19u − 1
c
2
u
39
+ 7u
38
+ ··· + u − 1
c
3
u
39
+ 2u
38
+ ··· + 8u + 7
c
4
u
39
+ 2u
37
+ ··· + u + 1
c
5
u
39
− 7u
38
+ ··· + u + 1
c
6
u
39
+ 9u
38
+ ··· + 10u + 1
c
7
u
39
+ 3u
38
+ ··· + 23u + 1
c
8
u
39
− 8u
37
+ ··· − 13u
2
+ 1
c
9
u
39
− 9u
38
+ ··· + 10u − 1
c
10
u
39
+ 7u
38
+ ··· + 69u + 7
c
11
u
39
+ 3u
38
+ ··· + 330u + 1
c
12
u
39
+ 2u
38
+ ··· + 69u − 7
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 3y
38
+ ··· − 69y −1
c
2
, c
5
y
39
− 21y
38
+ ··· + 19y −1
c
3
y
39
− 30y
38
+ ··· + 1380y −49
c
4
y
39
+ 4y
38
+ ··· − 11y −1
c
6
, c
9
y
39
+ 37y
38
+ ··· − 20y −1
c
7
y
39
+ 11y
38
+ ··· + 149y −1
c
8
y
39
− 16y
38
+ ··· + 26y −1
c
10
y
39
− 19y
38
+ ··· − 783y −49
c
11
y
39
+ 19y
38
+ ··· + 103570y −1
c
12
y
39
+ 14y
38
+ ··· + 771y −49
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.531143 + 0.806981I
a = −1.42266 − 0.18670I
b = 1.21551 + 1.13299I
−1.72136 + 6.16609I −4.14414 − 8.46608I
u = −0.531143 − 0.806981I
a = −1.42266 + 0.18670I
b = 1.21551 − 1.13299I
−1.72136 − 6.16609I −4.14414 + 8.46608I
u = 0.507570 + 0.739754I
a = 1.65333 − 0.14758I
b = −1.36306 + 1.03195I
−1.70725 − 2.71592I −5.60070 + 6.55732I
u = 0.507570 − 0.739754I
a = 1.65333 + 0.14758I
b = −1.36306 − 1.03195I
−1.70725 + 2.71592I −5.60070 − 6.55732I
u = −1.15149
a = −0.00269849
b = 0.656794
−0.531433 4.41640
u = −0.811690 + 0.241092I
a = −0.186934 + 1.033520I
b = 0.709042 − 0.281126I
3.61711 + 5.49515I 3.89036 − 5.52728I
u = −0.811690 − 0.241092I
a = −0.186934 − 1.033520I
b = 0.709042 + 0.281126I
3.61711 − 5.49515I 3.89036 + 5.52728I
u = 0.526867 + 0.648133I
a = 1.82698 + 0.14509I
b = −1.35185 + 0.65915I
−0.78220 − 7.34774I −0.85784 + 13.75341I
u = 0.526867 − 0.648133I
a = 1.82698 − 0.14509I
b = −1.35185 − 0.65915I
−0.78220 + 7.34774I −0.85784 − 13.75341I
u = 0.469852 + 0.676908I
a = −0.02206 + 1.58742I
b = −0.506688 + 0.001589I
2.09622 − 0.47205I 1.50678 + 4.54055I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.469852 − 0.676908I
a = −0.02206 − 1.58742I
b = −0.506688 − 0.001589I
2.09622 + 0.47205I 1.50678 − 4.54055I
u = −0.103227 + 0.783072I
a = −0.050647 − 0.538230I
b = −0.905834 − 0.403482I
−4.11775 − 3.30168I −5.14630 + 3.91055I
u = −0.103227 − 0.783072I
a = −0.050647 + 0.538230I
b = −0.905834 + 0.403482I
−4.11775 + 3.30168I −5.14630 − 3.91055I
u = −0.527989 + 0.584237I
a = −1.88211 + 0.23484I
b = 1.043260 + 0.430012I
0.04676 + 2.90975I 1.79628 − 5.76190I
u = −0.527989 − 0.584237I
a = −1.88211 − 0.23484I
b = 1.043260 − 0.430012I
0.04676 − 2.90975I 1.79628 + 5.76190I
u = 0.727714 + 0.099222I
a = −0.410675 + 1.252410I
b = −0.576467 − 0.283374I
4.67788 − 0.11121I 5.35843 − 1.09350I
u = 0.727714 − 0.099222I
a = −0.410675 − 1.252410I
b = −0.576467 + 0.283374I
4.67788 + 0.11121I 5.35843 + 1.09350I
u = 1.330420 + 0.071389I
a = −0.012166 − 1.114600I
b = −0.027125 − 1.326110I
−7.99177 + 0.29640I −8.1378 + 11.9378I
u = 1.330420 − 0.071389I
a = −0.012166 + 1.114600I
b = −0.027125 + 1.326110I
−7.99177 − 0.29640I −8.1378 − 11.9378I
u = −0.765373 + 1.094340I
a = −0.760932 + 0.289502I
b = 0.889317 + 0.009667I
3.28578 + 5.30870I 4.14906 − 4.41507I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.765373 − 1.094340I
a = −0.760932 − 0.289502I
b = 0.889317 − 0.009667I
3.28578 − 5.30870I 4.14906 + 4.41507I
u = −0.436129 + 0.483391I
a = −2.50297 − 0.04831I
b = 0.743569 + 0.297041I
−0.02509 + 2.96563I 4.27823 − 6.33781I
u = −0.436129 − 0.483391I
a = −2.50297 + 0.04831I
b = 0.743569 − 0.297041I
−0.02509 − 2.96563I 4.27823 + 6.33781I
u = 0.700378 + 1.206680I
a = 0.703693 + 0.406575I
b = −0.800414 + 0.019999I
4.02925 + 0.14224I 8.62253 + 0.I
u = 0.700378 − 1.206680I
a = 0.703693 − 0.406575I
b = −0.800414 − 0.019999I
4.02925 − 0.14224I 8.62253 + 0.I
u = −1.00089 + 1.00821I
a = 1.113670 − 0.349783I
b = −0.851070 − 0.761087I
2.91445 + 2.52109I −2.91514 − 2.33604I
u = −1.00089 − 1.00821I
a = 1.113670 + 0.349783I
b = −0.851070 + 0.761087I
2.91445 − 2.52109I −2.91514 + 2.33604I
u = −0.246680 + 0.511758I
a = −1.68091 − 0.03749I
b = −0.520980 − 0.636636I
−0.01683 − 11.28970I −1.13499 + 6.81178I
u = −0.246680 − 0.511758I
a = −1.68091 + 0.03749I
b = −0.520980 + 0.636636I
−0.01683 + 11.28970I −1.13499 − 6.81178I
u = −1.07439 + 1.02287I
a = 0.823388 + 0.066702I
b = −1.30228 − 0.75565I
−0.21176 + 9.61421I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.07439 − 1.02287I
a = 0.823388 − 0.066702I
b = −1.30228 + 0.75565I
−0.21176 − 9.61421I 0
u = 0.156548 + 0.479251I
a = 2.07799 − 1.04930I
b = 0.485430 − 0.468803I
1.88287 + 5.49828I 0.76705 − 2.50716I
u = 0.156548 − 0.479251I
a = 2.07799 + 1.04930I
b = 0.485430 + 0.468803I
1.88287 − 5.49828I 0.76705 + 2.50716I
u = 1.16489 + 1.02778I
a = −0.945606 + 0.055937I
b = 1.26096 − 0.66228I
1.24137 − 6.23843I 0
u = 1.16489 − 1.02778I
a = −0.945606 − 0.055937I
b = 1.26096 + 0.66228I
1.24137 + 6.23843I 0
u = 1.09448 + 1.14203I
a = −1.055770 − 0.101016I
b = 1.048340 − 0.648935I
3.21297 − 8.51800I 0
u = 1.09448 − 1.14203I
a = −1.055770 + 0.101016I
b = 1.048340 + 0.648935I
3.21297 + 8.51800I 0
u = −0.60546 + 1.57221I
a = −0.264251 − 0.091183I
b = 0.481940 + 0.663790I
−0.295321 − 0.911637I 0
u = −0.60546 − 1.57221I
a = −0.264251 + 0.091183I
b = 0.481940 − 0.663790I
−0.295321 + 0.911637I 0
32
III. I
u
3
= hu
2
+ b + u − 1, a, u
3
− u + 1i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
8
=
0
−u
2
− u + 1
a
9
=
−u
2
− u + 1
−u
2
− u + 1
a
1
=
−u
2
− u
−u
2
a
7
=
−u
2
− u + 1
−u
2
− u + 2
a
11
=
0
u
a
3
=
1
u
2
a
2
=
−u
2
− u + 1
0
a
10
=
−u
2
+ 2
u + 1
a
6
=
u
2
+ u
u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 7u
2
− u − 7
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
3
c
3
, c
4
u
3
− u + 1
c
5
(u + 1)
3
c
6
, c
7
, c
8
c
10
u
3
+ u
2
+ 2u + 1
c
9
u
3
− u
2
+ 2u − 1
c
11
u
3
c
12
u
3
+ u
2
− 1
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
(y −1)
3
c
3
, c
4
y
3
− 2y
2
+ y −1
c
6
, c
7
, c
8
c
9
, c
10
y
3
+ 3y
2
+ 2y −1
c
11
y
3
c
12
y
3
− y
2
+ 2y −1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.662359 + 0.562280I
a = 0
b = 0.215080 − 1.307140I
−4.66906 − 2.82812I −6.80443 + 4.65175I
u = 0.662359 − 0.562280I
a = 0
b = 0.215080 + 1.307140I
−4.66906 + 2.82812I −6.80443 − 4.65175I
u = −1.32472
a = 0
b = 0.569840
−0.531480 6.60890
36
IV. I
u
4
= hb
3
+ b
2
− 1, a, u + 1i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
−1
a
5
=
1
1
a
8
=
0
b
a
9
=
b
b
a
1
=
−b
2
−b
2
− 1
a
7
=
b
2b
a
11
=
0
−1
a
3
=
1
1
a
2
=
−b
2
+ 1
−b
2
a
10
=
b
2
+ b − 1
2b
2
+ b − 2
a
6
=
b
2
b
2
+ 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = b
2
+ 5b − 1
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
3
c
3
, c
4
, c
5
(u + 1)
3
c
6
, c
10
u
3
+ u
2
+ 2u + 1
c
7
, c
8
u
3
− u
2
+ 1
c
9
u
3
− u
2
+ 2u − 1
c
11
u
3
c
12
u
3
+ u
2
− 1
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
(y −1)
3
c
6
, c
9
, c
10
y
3
+ 3y
2
+ 2y −1
c
7
, c
8
, c
12
y
3
− y
2
+ 2y −1
c
11
y
3
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0
b = −0.877439 + 0.744862I
−4.66906 − 2.82812I −5.17211 + 2.41717I
u = −1.00000
a = 0
b = −0.877439 − 0.744862I
−4.66906 + 2.82812I −5.17211 − 2.41717I
u = −1.00000
a = 0
b = 0.754878
−0.531480 3.34420
40
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
6
)(u
39
− 21u
38
+ ··· + 19u − 1)
· (u
189
+ 86u
188
+ ··· + 12226241u + 339889)
c
2
((u − 1)
6
)(u
39
+ 7u
38
+ ··· + u − 1)(u
189
− 43u
187
+ ··· − 6703u + 583)
c
3
((u + 1)
3
)(u
3
− u + 1)(u
39
+ 2u
38
+ ··· + 8u + 7)
· (u
189
+ 4u
188
+ ··· + 60188019890u + 5986213211)
c
4
((u + 1)
3
)(u
3
− u + 1)(u
39
+ 2u
37
+ ··· + u + 1)
· (u
189
+ 8u
188
+ ··· − 79u + 29)
c
5
((u + 1)
6
)(u
39
− 7u
38
+ ··· + u + 1)(u
189
− 43u
187
+ ··· − 6703u + 583)
c
6
((u
3
+ u
2
+ 2u + 1)
2
)(u
39
+ 9u
38
+ ··· + 10u + 1)
· (u
189
− 8u
188
+ ··· + 54826u + 4031)
c
7
(u
3
− u
2
+ 1)(u
3
+ u
2
+ 2u + 1)(u
39
+ 3u
38
+ ··· + 23u + 1)
· (u
189
− 8u
188
+ ··· + 204513953u + 32543267)
c
8
(u
3
− u
2
+ 1)(u
3
+ u
2
+ 2u + 1)(u
39
− 8u
37
+ ··· − 13u
2
+ 1)
· (u
189
− 3u
188
+ ··· − 26u + 1)
c
9
((u
3
− u
2
+ 2u − 1)
2
)(u
39
− 9u
38
+ ··· + 10u − 1)
· (u
189
− 8u
188
+ ··· + 54826u + 4031)
c
10
((u
3
+ u
2
+ 2u + 1)
2
)(u
39
+ 7u
38
+ ··· + 69u + 7)
· (u
189
− 6u
188
+ ··· − 47525u + 32287)
c
11
u
6
(u
39
+ 3u
38
+ ··· + 330u + 1)(u
189
+ 10u
188
+ ··· + 2304u − 704)
c
12
((u
3
+ u
2
− 1)
2
)(u
39
+ 2u
38
+ ··· + 69u − 7)
· (u
189
+ u
188
+ ··· + 46221377u + 1765261)
41
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
6
)(y
39
+ 3y
38
+ ··· − 69y −1)
· (y
189
+ 50y
188
+ ··· − 10262219485735y −115524532321)
c
2
, c
5
((y −1)
6
)(y
39
− 21y
38
+ ··· + 19y −1)
· (y
189
− 86y
188
+ ··· + 12226241y −339889)
c
3
((y −1)
3
)(y
3
− 2y
2
+ y −1)(y
39
− 30y
38
+ ··· + 1380y −49)
· (y
189
− 102y
188
+ ··· + 3.80 × 10
21
y −3.58 × 10
19
)
c
4
((y −1)
3
)(y
3
− 2y
2
+ y −1)(y
39
+ 4y
38
+ ··· − 11y −1)
· (y
189
+ 12y
188
+ ··· − 80179y −841)
c
6
, c
9
((y
3
+ 3y
2
+ 2y −1)
2
)(y
39
+ 37y
38
+ ··· − 20y −1)
· (y
189
+ 124y
188
+ ··· + 2605740968y −16248961)
c
7
(y
3
− y
2
+ 2y −1)(y
3
+ 3y
2
+ 2y −1)(y
39
+ 11y
38
+ ··· + 149y −1)
· (y
189
+ 62y
188
+ ··· − 276984664046356039y −1059064227033289)
c
8
(y
3
− y
2
+ 2y −1)(y
3
+ 3y
2
+ 2y −1)(y
39
− 16y
38
+ ··· + 26y −1)
· (y
189
− 33y
188
+ ··· − 54y −1)
c
10
((y
3
+ 3y
2
+ 2y −1)
2
)(y
39
− 19y
38
+ ··· − 783y −49)
· (y
189
− 28y
188
+ ··· + 280760605113y −1042450369)
c
11
y
6
(y
39
+ 19y
38
+ ··· + 103570y −1)
· (y
189
+ 40y
188
+ ··· − 25982976y −495616)
c
12
((y
3
− y
2
+ 2y −1)
2
)(y
39
+ 14y
38
+ ··· + 771y −49)
· (y
189
− 31y
188
+ ··· + 793233634931023y −3116146398121)
42
