12a
1090
(K12a
1090
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 11 9 2 12 3 6 5 8
Solving Sequence
6,10 4,11
3 5 12 9 7 2 1 8
c
10
c
3
c
5
c
11
c
9
c
6
c
2
c
1
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.10479 × 10
362
u
116
+ 1.89977 × 10
362
u
115
+ ··· + 7.75796 × 10
363
b + 1.93597 × 10
364
,
1.94516 × 10
364
u
116
+ 1.50624 × 10
364
u
115
+ ··· + 7.29248 × 10
365
a + 2.94268 × 10
365
,
u
117
+ u
116
+ ··· + 124u + 47i
I
u
2
= h20149292u
29
− 20623955u
28
+ ··· + 99034091b + 23108758,
− 366097415u
29
+ 204883942u
28
+ ··· + 792272728a − 2378612097, u
30
+ 20u
28
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 147 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
= h1.10 × 10
362
u
116
+ 1.90 × 10
362
u
115
+ · · · + 7.76 × 10
363
b + 1.94 ×
10
364
, 1.95 × 10
364
u
116
+ 1.51 × 10
364
u
115
+ · · · + 7.29 × 10
365
a + 2.94 ×
10
365
, u
117
+ u
116
+ · · · + 124u + 47i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
4
=
−0.0266735u
116
− 0.0206547u
115
+ ··· − 19.9608u − 0.403523
−0.0142407u
116
− 0.0244880u
115
+ ··· + 0.591814u − 2.49546
a
11
=
1
u
2
a
3
=
−0.0409142u
116
− 0.0451426u
115
+ ··· − 19.3690u − 2.89898
−0.0142407u
116
− 0.0244880u
115
+ ··· + 0.591814u − 2.49546
a
5
=
u
u
3
+ u
a
12
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
−0.00104818u
116
+ 0.0000285478u
115
+ ··· + 23.6582u − 0.194678
0.000577895u
116
− 0.00548604u
115
+ ··· + 3.54854u − 0.813912
a
7
=
0.0378466u
116
+ 0.0626004u
115
+ ··· + 26.8224u + 9.09236
0.0394917u
116
+ 0.0258151u
115
+ ··· + 4.33627u + 3.49687
a
2
=
−0.0510015u
116
− 0.0497058u
115
+ ··· − 13.6495u − 3.84875
−0.0278995u
116
− 0.0302454u
115
+ ··· − 5.89036u − 2.37136
a
1
=
−0.0408163u
116
− 0.0556002u
115
+ ··· − 1.82172u + 0.570663
−0.0448536u
116
− 0.0160504u
115
+ ··· − 4.25598u − 2.61750
a
8
=
−0.00647050u
116
− 0.00436844u
115
+ ··· + 19.2576u + 0.614457
0.000350157u
116
− 0.00369785u
115
+ ··· + 3.03710u − 1.22651
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.126931u
116
+ 0.0615865u
115
+ ··· + 15.3051u + 14.4162
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
117
− 5u
116
+ ··· − 1550u + 337
c
2
, c
7
u
117
+ u
116
+ ··· − 522928u + 122248
c
3
, c
9
u
117
+ u
116
+ ··· + 8557u + 3421
c
5
, c
10
, c
11
u
117
+ u
116
+ ··· + 124u + 47
c
6
u
117
− 3u
116
+ ··· + 5055780u − 844876
c
8
, c
12
u
117
− 3u
116
+ ··· + 34u + 31
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
117
+ 73y
116
+ ··· − 8150992y −113569
c
2
, c
7
y
117
+ 93y
116
+ ··· − 163687062112y −14944573504
c
3
, c
9
y
117
− 65y
116
+ ··· + 196939293y −11703241
c
5
, c
10
, c
11
y
117
+ 123y
116
+ ··· − 54748y −2209
c
6
y
117
− 27y
116
+ ··· − 13642460366432y −713815455376
c
8
, c
12
y
117
+ 61y
116
+ ··· − 60038y −961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.450430 + 0.874019I
a = −0.155942 − 1.219730I
b = −0.988758 + 0.419017I
1.31804 + 2.76130I 0
u = −0.450430 − 0.874019I
a = −0.155942 + 1.219730I
b = −0.988758 − 0.419017I
1.31804 − 2.76130I 0
u = 0.375495 + 0.837694I
a = −0.724013 − 1.058100I
b = 1.164760 − 0.072289I
−2.40578 − 0.38438I 0
u = 0.375495 − 0.837694I
a = −0.724013 + 1.058100I
b = 1.164760 + 0.072289I
−2.40578 + 0.38438I 0
u = −0.709889 + 0.552874I
a = 0.198170 − 0.374731I
b = 0.366559 + 0.453634I
0.98855 + 2.99976I 0
u = −0.709889 − 0.552874I
a = 0.198170 + 0.374731I
b = 0.366559 − 0.453634I
0.98855 − 2.99976I 0
u = −0.980561 + 0.521676I
a = −0.304385 − 1.010160I
b = −1.32872 + 0.50810I
−6.2327 + 13.1746I 0
u = −0.980561 − 0.521676I
a = −0.304385 + 1.010160I
b = −1.32872 − 0.50810I
−6.2327 − 13.1746I 0
u = −0.581326 + 0.958709I
a = −0.160347 − 1.077050I
b = −0.997335 + 0.399940I
1.30976 + 2.75887I 0
u = −0.581326 − 0.958709I
a = −0.160347 + 1.077050I
b = −0.997335 − 0.399940I
1.30976 − 2.75887I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.727403 + 0.481710I
a = 0.84632 + 1.34115I
b = 1.254570 − 0.443656I
−9.34800 + 6.57460I 0
u = −0.727403 − 0.481710I
a = 0.84632 − 1.34115I
b = 1.254570 + 0.443656I
−9.34800 − 6.57460I 0
u = 0.842085 + 0.187380I
a = −0.425383 + 0.368443I
b = −1.228440 + 0.302698I
−3.96197 + 3.71063I 0
u = 0.842085 − 0.187380I
a = −0.425383 − 0.368443I
b = −1.228440 − 0.302698I
−3.96197 − 3.71063I 0
u = −0.522458 + 0.678849I
a = −0.293846 − 0.577453I
b = −1.122850 − 0.348363I
−8.82823 − 2.11501I 0
u = −0.522458 − 0.678849I
a = −0.293846 + 0.577453I
b = −1.122850 + 0.348363I
−8.82823 + 2.11501I 0
u = 0.448800 + 0.716787I
a = 1.36941 − 1.49722I
b = −0.449149 + 0.727366I
−0.91557 + 3.36877I 0
u = 0.448800 − 0.716787I
a = 1.36941 + 1.49722I
b = −0.449149 − 0.727366I
−0.91557 − 3.36877I 0
u = 0.747868 + 0.368257I
a = 0.076550 − 0.857149I
b = 0.007519 + 1.070980I
−2.03502 − 7.66434I 0
u = 0.747868 − 0.368257I
a = 0.076550 + 0.857149I
b = 0.007519 − 1.070980I
−2.03502 + 7.66434I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.819476 + 0.021910I
a = 0.175354 + 0.611821I
b = 1.41065 − 0.44823I
−6.62732 − 2.00391I 0
u = −0.819476 − 0.021910I
a = 0.175354 − 0.611821I
b = 1.41065 + 0.44823I
−6.62732 + 2.00391I 0
u = 1.149070 + 0.322405I
a = 0.624379 − 0.506587I
b = 0.964612 + 0.314051I
−0.55784 − 6.19834I 0
u = 1.149070 − 0.322405I
a = 0.624379 + 0.506587I
b = 0.964612 − 0.314051I
−0.55784 + 6.19834I 0
u = 0.301498 + 1.162040I
a = −0.26659 − 1.45212I
b = 0.974297 + 0.217920I
−0.995060 − 0.963784I 0
u = 0.301498 − 1.162040I
a = −0.26659 + 1.45212I
b = 0.974297 − 0.217920I
−0.995060 + 0.963784I 0
u = −0.273778 + 1.174630I
a = 1.114810 − 0.139072I
b = −1.55406 − 0.07468I
−3.14135 + 6.02194I 0
u = −0.273778 − 1.174630I
a = 1.114810 + 0.139072I
b = −1.55406 + 0.07468I
−3.14135 − 6.02194I 0
u = 0.600730 + 0.462863I
a = −0.568147 + 0.467016I
b = −0.003909 − 0.811777I
−5.54773 − 2.01439I 0
u = 0.600730 − 0.462863I
a = −0.568147 − 0.467016I
b = −0.003909 + 0.811777I
−5.54773 + 2.01439I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.589429 + 0.475259I
a = 0.487315 − 1.272170I
b = 1.34874 + 0.54161I
−2.94157 − 7.60929I 0
u = 0.589429 − 0.475259I
a = 0.487315 + 1.272170I
b = 1.34874 − 0.54161I
−2.94157 + 7.60929I 0
u = 0.733472 + 0.162116I
a = −1.090300 − 0.048396I
b = −1.141370 − 0.125034I
−4.04433 − 2.86679I 0
u = 0.733472 − 0.162116I
a = −1.090300 + 0.048396I
b = −1.141370 + 0.125034I
−4.04433 + 2.86679I 0
u = 0.265307 + 0.697351I
a = 0.095698 − 0.802970I
b = −0.453016 + 0.737857I
2.93848 + 1.49224I 0
u = 0.265307 − 0.697351I
a = 0.095698 + 0.802970I
b = −0.453016 − 0.737857I
2.93848 − 1.49224I 0
u = −0.419354 + 1.202530I
a = 0.63820 − 1.90195I
b = −1.208690 + 0.724572I
−2.84569 + 2.44067I 0
u = −0.419354 − 1.202530I
a = 0.63820 + 1.90195I
b = −1.208690 − 0.724572I
−2.84569 − 2.44067I 0
u = 0.708999 + 0.154308I
a = −0.801573 + 0.266034I
b = −1.314790 − 0.330863I
−4.59994 − 3.42538I 0
u = 0.708999 − 0.154308I
a = −0.801573 − 0.266034I
b = −1.314790 + 0.330863I
−4.59994 + 3.42538I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.077026 + 1.275020I
a = −0.38863 − 2.02126I
b = 0.17592 + 1.53970I
4.66408 + 0.01829I 0
u = −0.077026 − 1.275020I
a = −0.38863 + 2.02126I
b = 0.17592 − 1.53970I
4.66408 − 0.01829I 0
u = −0.043378 + 1.282440I
a = 0.081358 − 1.174000I
b = −1.165260 + 0.435563I
1.86498 + 2.15332I 0
u = −0.043378 − 1.282440I
a = 0.081358 + 1.174000I
b = −1.165260 − 0.435563I
1.86498 − 2.15332I 0
u = 0.099081 + 1.287910I
a = −0.239261 − 1.096180I
b = −0.137029 + 0.846959I
3.68040 + 1.59802I 0
u = 0.099081 − 1.287910I
a = −0.239261 + 1.096180I
b = −0.137029 − 0.846959I
3.68040 − 1.59802I 0
u = −1.038490 + 0.800183I
a = −0.192780 + 0.089886I
b = 1.244190 + 0.324174I
−5.58201 − 6.62080I 0
u = −1.038490 − 0.800183I
a = −0.192780 − 0.089886I
b = 1.244190 − 0.324174I
−5.58201 + 6.62080I 0
u = −0.202146 + 1.297420I
a = −0.862714 − 0.338807I
b = 1.36307 + 0.39085I
−3.82100 − 0.00691I 0
u = −0.202146 − 1.297420I
a = −0.862714 + 0.338807I
b = 1.36307 − 0.39085I
−3.82100 + 0.00691I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.130018 + 1.308590I
a = −0.16741 − 1.68093I
b = 1.32311 + 0.49998I
−0.68976 − 6.56572I 0
u = 0.130018 − 1.308590I
a = −0.16741 + 1.68093I
b = 1.32311 − 0.49998I
−0.68976 + 6.56572I 0
u = −0.073373 + 1.335250I
a = −0.95421 + 2.09276I
b = 1.09403 − 0.94824I
−4.70547 + 3.68035I 0
u = −0.073373 − 1.335250I
a = −0.95421 − 2.09276I
b = 1.09403 + 0.94824I
−4.70547 − 3.68035I 0
u = 0.075591 + 1.344550I
a = 0.56822 + 1.44412I
b = 0.982176 − 0.233908I
3.39050 − 5.09084I 0
u = 0.075591 − 1.344550I
a = 0.56822 − 1.44412I
b = 0.982176 + 0.233908I
3.39050 + 5.09084I 0
u = −0.009716 + 1.351280I
a = 0.40036 + 2.17036I
b = −0.978172 − 0.538795I
3.58630 − 0.68309I 0
u = −0.009716 − 1.351280I
a = 0.40036 − 2.17036I
b = −0.978172 + 0.538795I
3.58630 + 0.68309I 0
u = 0.313950 + 1.326390I
a = −0.46213 − 1.41679I
b = 1.42704 + 0.56925I
−0.03050 − 7.14266I 0
u = 0.313950 − 1.326390I
a = −0.46213 + 1.41679I
b = 1.42704 − 0.56925I
−0.03050 + 7.14266I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.138272 + 1.403470I
a = 0.78007 + 1.92070I
b = −0.54097 − 1.36641I
6.33685 + 3.23861I 0
u = −0.138272 − 1.403470I
a = 0.78007 − 1.92070I
b = −0.54097 + 1.36641I
6.33685 − 3.23861I 0
u = −0.10252 + 1.41744I
a = −0.002532 − 1.090080I
b = −0.064504 + 0.844052I
5.24852 + 2.32596I 0
u = −0.10252 − 1.41744I
a = −0.002532 + 1.090080I
b = −0.064504 − 0.844052I
5.24852 − 2.32596I 0
u = −0.099852 + 0.562885I
a = 2.63496 − 0.09861I
b = −1.207410 + 0.189869I
−3.07410 + 5.41375I −5.35612 − 7.94146I
u = −0.099852 − 0.562885I
a = 2.63496 + 0.09861I
b = −1.207410 − 0.189869I
−3.07410 − 5.41375I −5.35612 + 7.94146I
u = 0.25945 + 1.40490I
a = 0.022269 − 1.111400I
b = 1.227000 + 0.327360I
1.01487 − 6.41189I 0
u = 0.25945 − 1.40490I
a = 0.022269 + 1.111400I
b = 1.227000 − 0.327360I
1.01487 + 6.41189I 0
u = −0.554995
a = 1.16749
b = 0.966054
−1.57202 −6.03670
u = 0.09543 + 1.45877I
a = 1.22275 + 1.52303I
b = −0.703801 − 0.618070I
4.46906 − 3.93892I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.09543 − 1.45877I
a = 1.22275 − 1.52303I
b = −0.703801 + 0.618070I
4.46906 + 3.93892I 0
u = 0.19897 + 1.47815I
a = 0.53821 − 1.35946I
b = −0.098526 + 0.941329I
0.74413 − 4.89630I 0
u = 0.19897 − 1.47815I
a = 0.53821 + 1.35946I
b = −0.098526 − 0.941329I
0.74413 + 4.89630I 0
u = 0.28618 + 1.46620I
a = −0.57918 + 1.63059I
b = 0.256407 − 1.233710I
3.88237 − 11.43810I 0
u = 0.28618 − 1.46620I
a = −0.57918 − 1.63059I
b = 0.256407 + 1.233710I
3.88237 + 11.43810I 0
u = −0.62749 + 1.35615I
a = 0.394025 + 0.520974I
b = 0.851823 − 0.208270I
2.03680 + 3.48302I 0
u = −0.62749 − 1.35615I
a = 0.394025 − 0.520974I
b = 0.851823 + 0.208270I
2.03680 − 3.48302I 0
u = 0.09690 + 1.50425I
a = −0.139924 + 1.215190I
b = −0.938027 − 0.195120I
5.81927 + 0.05975I 0
u = 0.09690 − 1.50425I
a = −0.139924 − 1.215190I
b = −0.938027 + 0.195120I
5.81927 − 0.05975I 0
u = 0.22766 + 1.49243I
a = 0.61626 + 1.78167I
b = −1.33599 − 0.74145I
3.45424 − 10.68360I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.22766 − 1.49243I
a = 0.61626 − 1.78167I
b = −1.33599 + 0.74145I
3.45424 + 10.68360I 0
u = −0.18996 + 1.52109I
a = −0.23643 + 1.59858I
b = 1.074740 − 0.587991I
8.58646 + 5.45534I 0
u = −0.18996 − 1.52109I
a = −0.23643 − 1.59858I
b = 1.074740 + 0.587991I
8.58646 − 5.45534I 0
u = −0.25317 + 1.51414I
a = 0.488031 + 0.976107I
b = −0.401827 − 0.789339I
7.65566 + 6.55277I 0
u = −0.25317 − 1.51414I
a = 0.488031 − 0.976107I
b = −0.401827 + 0.789339I
7.65566 − 6.55277I 0
u = 0.10620 + 1.53503I
a = −0.65948 + 1.28065I
b = 0.586181 − 0.867383I
10.25010 − 0.05158I 0
u = 0.10620 − 1.53503I
a = −0.65948 − 1.28065I
b = 0.586181 + 0.867383I
10.25010 + 0.05158I 0
u = −0.09462 + 1.53964I
a = −1.81044 + 0.47340I
b = 0.891179 − 0.098940I
4.02410 + 6.53798I 0
u = −0.09462 − 1.53964I
a = −1.81044 − 0.47340I
b = 0.891179 + 0.098940I
4.02410 − 6.53798I 0
u = −0.26442 + 1.52778I
a = 0.30286 − 1.81813I
b = −1.260250 + 0.542162I
−2.76127 + 10.22880I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.26442 − 1.52778I
a = 0.30286 + 1.81813I
b = −1.260250 − 0.542162I
−2.76127 − 10.22880I 0
u = −0.409139 + 0.183611I
a = −0.888076 − 0.914368I
b = 0.163317 − 0.385322I
−0.041487 + 0.899415I −5.54590 − 2.88281I
u = −0.409139 − 0.183611I
a = −0.888076 + 0.914368I
b = 0.163317 + 0.385322I
−0.041487 − 0.899415I −5.54590 + 2.88281I
u = 0.38774 + 1.51379I
a = −0.00838 + 1.42222I
b = −1.110590 − 0.531468I
5.44898 − 11.49510I 0
u = 0.38774 − 1.51379I
a = −0.00838 − 1.42222I
b = −1.110590 + 0.531468I
5.44898 + 11.49510I 0
u = −0.35908 + 1.55169I
a = −0.42158 + 1.71495I
b = 1.32623 − 0.65321I
0.4325 + 18.0415I 0
u = −0.35908 − 1.55169I
a = −0.42158 − 1.71495I
b = 1.32623 + 0.65321I
0.4325 − 18.0415I 0
u = −0.268966 + 0.302008I
a = 0.105572 − 0.514416I
b = 0.123980 − 0.354069I
−0.209150 + 0.909601I −4.39421 − 7.12298I
u = −0.268966 − 0.302008I
a = 0.105572 + 0.514416I
b = 0.123980 + 0.354069I
−0.209150 − 0.909601I −4.39421 + 7.12298I
u = −0.356625 + 0.188528I
a = −1.60015 + 0.09608I
b = −1.153770 − 0.610054I
−8.60209 − 2.45635I −16.0611 + 6.6590I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.356625 − 0.188528I
a = −1.60015 − 0.09608I
b = −1.153770 + 0.610054I
−8.60209 + 2.45635I −16.0611 − 6.6590I
u = −0.355049 + 0.165204I
a = −0.610336 − 0.761423I
b = 0.188371 + 1.275600I
1.16558 + 1.38257I −11.21918 − 8.31396I
u = −0.355049 − 0.165204I
a = −0.610336 + 0.761423I
b = 0.188371 − 1.275600I
1.16558 − 1.38257I −11.21918 + 8.31396I
u = 0.353449 + 0.152564I
a = 3.73188 + 2.36884I
b = −0.455130 − 0.084418I
−0.65243 + 3.84094I −1.80561 + 1.36241I
u = 0.353449 − 0.152564I
a = 3.73188 − 2.36884I
b = −0.455130 + 0.084418I
−0.65243 − 3.84094I −1.80561 − 1.36241I
u = 0.03094 + 1.62767I
a = 1.079140 + 0.787419I
b = −0.903970 − 0.131309I
6.08971 − 1.56536I 0
u = 0.03094 − 1.62767I
a = 1.079140 − 0.787419I
b = −0.903970 + 0.131309I
6.08971 + 1.56536I 0
u = 0.01559 + 1.63752I
a = −1.04384 + 1.89289I
b = 0.821989 − 0.570989I
7.46072 + 2.27989I 0
u = 0.01559 − 1.63752I
a = −1.04384 − 1.89289I
b = 0.821989 + 0.570989I
7.46072 − 2.27989I 0
u = 0.234930 + 0.224021I
a = −1.46320 − 3.37689I
b = 0.892114 + 0.510916I
−1.23554 − 2.69044I −8.66837 + 2.81646I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.234930 − 0.224021I
a = −1.46320 + 3.37689I
b = 0.892114 − 0.510916I
−1.23554 + 2.69044I −8.66837 − 2.81646I
u = 0.34300 + 1.66695I
a = −0.503702 − 0.026674I
b = 0.880520 − 0.178412I
2.04445 − 1.53951I 0
u = 0.34300 − 1.66695I
a = −0.503702 + 0.026674I
b = 0.880520 + 0.178412I
2.04445 + 1.53951I 0
u = 0.020227 + 0.236909I
a = 1.53045 − 6.39344I
b = 0.773472 − 0.179454I
−0.401572 + 0.767401I −4.86669 + 1.90492I
u = 0.020227 − 0.236909I
a = 1.53045 + 6.39344I
b = 0.773472 + 0.179454I
−0.401572 − 0.767401I −4.86669 − 1.90492I
u = 0.18740 + 1.97141I
a = 0.148327 + 0.445165I
b = −0.895295 − 0.163794I
4.98690 − 0.82450I 0
u = 0.18740 − 1.97141I
a = 0.148327 − 0.445165I
b = −0.895295 + 0.163794I
4.98690 + 0.82450I 0
16
II.
I
u
2
= h2.01 × 10
7
u
29
− 2.06 × 10
7
u
28
+ · · · + 9.90 × 10
7
b + 2.31 × 10
7
, −3.66 ×
10
8
u
29
+2.05×10
8
u
28
+· · ·+7.92×10
8
a−2.38×10
9
, u
30
+20u
28
+· · ·+2u+1i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
4
=
0.462085u
29
− 0.258603u
28
+ ··· + 10.7659u + 3.00226
−0.203458u
29
+ 0.208251u
28
+ ··· − 5.90108u − 0.233341
a
11
=
1
u
2
a
3
=
0.258627u
29
− 0.0503517u
28
+ ··· + 4.86485u + 2.76892
−0.203458u
29
+ 0.208251u
28
+ ··· − 5.90108u − 0.233341
a
5
=
u
u
3
+ u
a
12
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
0.588528u
29
− 0.284464u
28
+ ··· + 11.4886u + 1.30432
−0.161449u
29
− 0.888548u
28
+ ··· − 0.804083u + 1.27292
a
7
=
0.328862u
29
− 0.0854813u
28
+ ··· + 3.90404u + 0.0647015
−1.28669u
29
+ 0.00395292u
28
+ ··· − 1.03047u + 0.230098
a
2
=
−0.409579u
29
+ 0.560735u
28
+ ··· + 3.12594u + 0.844122
−0.311634u
29
− 0.726602u
28
+ ··· − 4.05885u − 1.60330
a
1
=
−0.260986u
29
+ 1.32534u
28
+ ··· − 6.97117u + 2.15368
−0.417867u
29
− 1.21955u
28
+ ··· − 3.12685u − 3.03369
a
8
=
0.350707u
29
+ 0.220390u
28
+ ··· + 10.4421u + 0.172289
−0.360379u
29
− 0.743997u
28
+ ··· − 0.555988u + 1.36712
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1432778273
792272728
u
29
−
609802127
99034091
u
28
+ ··· −
10670121873
396136364
u −
4657685801
792272728
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 4u
29
+ ··· + 2u + 1
c
2
u
30
+ 15u
28
+ ··· + 6u + 1
c
3
u
30
− 6u
28
+ ··· − u + 1
c
4
u
30
+ 4u
29
+ ··· − 2u + 1
c
5
u
30
+ 20u
28
+ ··· − 2u + 1
c
6
u
30
− 8u
29
+ ··· − 24u + 4
c
7
u
30
+ 15u
28
+ ··· − 6u + 1
c
8
u
30
− 2u
29
+ ··· − 2u + 1
c
9
u
30
− 6u
28
+ ··· + u + 1
c
10
, c
11
u
30
+ 20u
28
+ ··· + 2u + 1
c
12
u
30
+ 2u
29
+ ··· + 2u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
30
+ 26y
29
+ ··· + 24y + 1
c
2
, c
7
y
30
+ 30y
29
+ ··· + 24y + 1
c
3
, c
9
y
30
− 12y
29
+ ··· − 17y + 1
c
5
, c
10
, c
11
y
30
+ 40y
29
+ ··· + 40y + 1
c
6
y
30
− 2y
29
+ ··· + 216y + 16
c
8
, c
12
y
30
+ 18y
29
+ ··· + 18y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.268514 + 0.838060I
a = 0.26131 + 2.10231I
b = −0.922005 − 0.395305I
−0.09312 − 1.84219I −3.10578 + 3.59676I
u = 0.268514 − 0.838060I
a = 0.26131 − 2.10231I
b = −0.922005 + 0.395305I
−0.09312 + 1.84219I −3.10578 − 3.59676I
u = −0.395499 + 1.112110I
a = −0.074001 + 0.660065I
b = 1.099590 − 0.346663I
0.23488 + 3.85614I −5.33634 − 5.49670I
u = −0.395499 − 1.112110I
a = −0.074001 − 0.660065I
b = 1.099590 + 0.346663I
0.23488 − 3.85614I −5.33634 + 5.49670I
u = 0.007957 + 0.788384I
a = 0.90746 + 1.99487I
b = −0.887450 − 0.459788I
−0.05854 − 1.88210I −2.92001 + 1.78878I
u = 0.007957 − 0.788384I
a = 0.90746 − 1.99487I
b = −0.887450 + 0.459788I
−0.05854 + 1.88210I −2.92001 − 1.78878I
u = −0.107800 + 1.235570I
a = −0.90226 + 2.09351I
b = 1.12882 − 0.90134I
−5.56087 + 3.60723I −9.83841 − 2.75515I
u = −0.107800 − 1.235570I
a = −0.90226 − 2.09351I
b = 1.12882 + 0.90134I
−5.56087 − 3.60723I −9.83841 + 2.75515I
u = 0.000843 + 1.278140I
a = 0.26740 + 1.85027I
b = −0.02148 − 1.44231I
4.95866 + 1.01012I 2.62849 − 5.70276I
u = 0.000843 − 1.278140I
a = 0.26740 − 1.85027I
b = −0.02148 + 1.44231I
4.95866 − 1.01012I 2.62849 + 5.70276I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.602754 + 0.296743I
a = −0.131548 − 1.113730I
b = 1.282810 − 0.234265I
−4.13736 + 4.81625I −10.28012 − 5.84108I
u = 0.602754 − 0.296743I
a = −0.131548 + 1.113730I
b = 1.282810 + 0.234265I
−4.13736 − 4.81625I −10.28012 + 5.84108I
u = 0.235565 + 1.311010I
a = 0.279297 + 1.284900I
b = −1.45477 − 0.46807I
−0.58616 − 7.66545I −6.70515 + 11.81939I
u = 0.235565 − 1.311010I
a = 0.279297 − 1.284900I
b = −1.45477 + 0.46807I
−0.58616 + 7.66545I −6.70515 − 11.81939I
u = −0.258284 + 0.503428I
a = −0.532758 − 0.639668I
b = −1.064150 − 0.535091I
−8.19198 − 2.33006I 2.78435 + 1.63029I
u = −0.258284 − 0.503428I
a = −0.532758 + 0.639668I
b = −1.064150 + 0.535091I
−8.19198 + 2.33006I 2.78435 − 1.63029I
u = −0.473277 + 0.223928I
a = −0.01163 + 2.94740I
b = 0.672105 − 0.144050I
−0.97809 + 4.37635I −8.06368 − 9.14814I
u = −0.473277 − 0.223928I
a = −0.01163 − 2.94740I
b = 0.672105 + 0.144050I
−0.97809 − 4.37635I −8.06368 + 9.14814I
u = −0.11966 + 1.48951I
a = 1.53664 − 0.81617I
b = −0.474432 + 0.135969I
4.93136 + 6.27182I 0. − 5.14247I
u = −0.11966 − 1.48951I
a = 1.53664 + 0.81617I
b = −0.474432 − 0.135969I
4.93136 − 6.27182I 0. + 5.14247I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00090 + 1.51975I
a = −0.406356 − 1.278250I
b = −0.019536 + 0.702598I
7.81407 − 1.01052I 0
u = −0.00090 − 1.51975I
a = −0.406356 + 1.278250I
b = −0.019536 − 0.702598I
7.81407 + 1.01052I 0
u = 0.37283 + 1.55175I
a = −0.159676 − 0.641401I
b = 0.770461 − 0.001463I
2.29777 − 2.35183I 0
u = 0.37283 − 1.55175I
a = −0.159676 + 0.641401I
b = 0.770461 + 0.001463I
2.29777 + 2.35183I 0
u = 0.00790 + 1.60618I
a = −1.06317 − 1.87051I
b = 0.818803 + 0.519257I
7.89667 − 2.14784I 7.15170 + 0.I
u = 0.00790 − 1.60618I
a = −1.06317 + 1.87051I
b = 0.818803 − 0.519257I
7.89667 + 2.14784I 7.15170 + 0.I
u = 0.000088 + 0.258473I
a = 1.79961 + 2.00370I
b = 0.008869 − 1.037600I
1.51134 − 1.01430I 0.71406 − 2.60520I
u = 0.000088 − 0.258473I
a = 1.79961 − 2.00370I
b = 0.008869 + 1.037600I
1.51134 + 1.01430I 0.71406 + 2.60520I
u = −0.14104 + 1.92583I
a = 0.229680 − 0.530720I
b = −0.937625 + 0.127843I
4.76577 + 0.60391I 0
u = −0.14104 − 1.92583I
a = 0.229680 + 0.530720I
b = −0.937625 − 0.127843I
4.76577 − 0.60391I 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 4u
29
+ ··· + 2u + 1)(u
117
− 5u
116
+ ··· − 1550u + 337)
c
2
(u
30
+ 15u
28
+ ··· + 6u + 1)(u
117
+ u
116
+ ··· − 522928u + 122248)
c
3
(u
30
− 6u
28
+ ··· − u + 1)(u
117
+ u
116
+ ··· + 8557u + 3421)
c
4
(u
30
+ 4u
29
+ ··· − 2u + 1)(u
117
− 5u
116
+ ··· − 1550u + 337)
c
5
(u
30
+ 20u
28
+ ··· − 2u + 1)(u
117
+ u
116
+ ··· + 124u + 47)
c
6
(u
30
− 8u
29
+ ··· − 24u + 4)(u
117
− 3u
116
+ ··· + 5055780u − 844876)
c
7
(u
30
+ 15u
28
+ ··· − 6u + 1)(u
117
+ u
116
+ ··· − 522928u + 122248)
c
8
(u
30
− 2u
29
+ ··· − 2u + 1)(u
117
− 3u
116
+ ··· + 34u + 31)
c
9
(u
30
− 6u
28
+ ··· + u + 1)(u
117
+ u
116
+ ··· + 8557u + 3421)
c
10
, c
11
(u
30
+ 20u
28
+ ··· + 2u + 1)(u
117
+ u
116
+ ··· + 124u + 47)
c
12
(u
30
+ 2u
29
+ ··· + 2u + 1)(u
117
− 3u
116
+ ··· + 34u + 31)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
30
+ 26y
29
+ ··· + 24y + 1)
· (y
117
+ 73y
116
+ ··· − 8150992y −113569)
c
2
, c
7
(y
30
+ 30y
29
+ ··· + 24y + 1)
· (y
117
+ 93y
116
+ ··· − 163687062112y −14944573504)
c
3
, c
9
(y
30
− 12y
29
+ ··· − 17y + 1)
· (y
117
− 65y
116
+ ··· + 196939293y −11703241)
c
5
, c
10
, c
11
(y
30
+ 40y
29
+ ··· + 40y + 1)(y
117
+ 123y
116
+ ··· − 54748y −2209)
c
6
(y
30
− 2y
29
+ ··· + 216y + 16)
· (y
117
− 27y
116
+ ··· − 13642460366432y −713815455376)
c
8
, c
12
(y
30
+ 18y
29
+ ··· + 18y + 1)(y
117
+ 61y
116
+ ··· − 60038y −961)
24
