12a
0954
(K12a
0954
)
A knot diagram
1
Linearized knot diagam
4 6 10 9 11 3 12 5 1 2 7 8
Solving Sequence
5,8 1,9
10 4 2 3 12 7 6 11
c
8
c
9
c
4
c
1
c
3
c
12
c
7
c
6
c
11
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h7.34935 × 10
686
u
138
+ 3.18871 × 10
687
u
137
+ ··· + 2.74628 × 10
687
b + 7.47276 × 10
689
,
3.96893 × 10
689
u
138
+ 1.01996 × 10
690
u
137
+ ··· + 4.23751 × 10
690
a − 1.16664 × 10
693
,
u
139
+ 4u
138
+ ··· + 10765u + 1543i
I
u
2
= h2.42322 × 10
20
u
33
− 2.34759 × 10
21
u
32
+ ··· + 1.44163 × 10
21
b − 2.34593 × 10
21
,
7.15733 × 10
18
u
33
+ 2.04516 × 10
19
u
32
+ ··· + 7.87774 × 10
18
a − 1.30471 × 10
19
, u
34
− u
33
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 173 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
= h7.35 × 10
686
u
138
+ 3.19 × 10
687
u
137
+ · · · + 2.75 × 10
687
b + 7.47 ×
10
689
, 3.97 × 10
689
u
138
+ 1.02 × 10
690
u
137
+ · · · + 4.24 × 10
690
a − 1.17 ×
10
693
, u
139
+ 4u
138
+ · · · + 10765u + 1543i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
1
=
−0.0936618u
138
− 0.240697u
137
+ ··· + 1753.34u + 275.314
−0.267611u
138
− 1.16110u
137
+ ··· − 2455.08u − 272.105
a
9
=
1
u
2
a
10
=
0.172908u
138
+ 0.100924u
137
+ ··· − 9074.58u − 1380.96
0.524853u
138
+ 2.04517u
137
+ ··· + 1010.16u − 20.9051
a
4
=
u
u
3
+ u
a
2
=
−0.264885u
138
− 0.991986u
137
+ ··· + 16.6171u + 80.4220
−0.320116u
138
− 1.40709u
137
+ ··· − 3212.85u − 364.547
a
3
=
−0.412145u
138
− 1.56850u
137
+ ··· − 45.6170u + 182.029
−0.473335u
138
− 2.41050u
137
+ ··· − 9853.94u − 1272.53
a
12
=
−0.361273u
138
− 1.40180u
137
+ ··· − 701.737u + 3.20887
−0.267611u
138
− 1.16110u
137
+ ··· − 2455.08u − 272.105
a
7
=
−0.510251u
138
− 1.80085u
137
+ ··· + 1914.90u + 431.443
−0.591229u
138
− 2.68575u
137
+ ··· − 7174.16u − 844.702
a
6
=
0.302426u
138
+ 1.57715u
137
+ ··· + 6649.40u + 813.536
0.891376u
138
+ 3.49644u
137
+ ··· + 495.277u − 220.580
a
11
=
0.300992u
138
+ 0.692750u
137
+ ··· − 6844.57u − 1086.16
0.998380u
138
+ 4.67724u
137
+ ··· + 14271.2u + 1727.14
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.33258u
138
+ 5.97100u
137
+ ··· − 47823.9u − 7695.64
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
139
− 10u
138
+ ··· + 668505u − 38071
c
2
, c
6
u
139
− 6u
138
+ ··· + 73u + 1721
c
3
u
139
+ u
138
+ ··· + 3238u + 389
c
4
, c
8
u
139
+ 4u
138
+ ··· + 10765u + 1543
c
5
u
139
+ u
138
+ ··· − 112549u + 43381
c
7
, c
11
, c
12
u
139
− u
138
+ ··· − 629u + 71
c
9
u
139
+ 3u
138
+ ··· − 19u + 1
c
10
u
139
+ 7u
138
+ ··· + 685122u + 90743
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
139
+ 46y
138
+ ··· − 59985059471y −1449401041
c
2
, c
6
y
139
− 74y
138
+ ··· + 121225685y −2961841
c
3
y
139
+ 27y
138
+ ··· − 3405768y −151321
c
4
, c
8
y
139
+ 94y
138
+ ··· − 45669961y −2380849
c
5
y
139
+ 15y
138
+ ··· − 293305335987y −1881911161
c
7
, c
11
, c
12
y
139
− 145y
138
+ ··· + 23317y −5041
c
9
y
139
− 11y
138
+ ··· + 31y −1
c
10
y
139
− 51y
138
+ ··· + 9380316628y −8234292049
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.984345 + 0.163711I
a = 0.317362 − 0.123113I
b = −0.405404 + 0.328192I
−1.61926 + 3.70744I 0
u = −0.984345 − 0.163711I
a = 0.317362 + 0.123113I
b = −0.405404 − 0.328192I
−1.61926 − 3.70744I 0
u = −0.858886 + 0.521143I
a = −0.034798 + 0.336032I
b = 1.50776 + 0.23002I
−5.00542 − 5.88034I 0
u = −0.858886 − 0.521143I
a = −0.034798 − 0.336032I
b = 1.50776 − 0.23002I
−5.00542 + 5.88034I 0
u = 0.967502 + 0.072523I
a = −0.494935 − 0.148784I
b = −1.56393 + 0.08436I
−8.84824 + 0.83629I 0
u = 0.967502 − 0.072523I
a = −0.494935 + 0.148784I
b = −1.56393 − 0.08436I
−8.84824 − 0.83629I 0
u = −0.173315 + 1.019320I
a = 0.25912 + 2.25416I
b = 1.46511 − 0.24456I
0.57027 + 8.62979I 0
u = −0.173315 − 1.019320I
a = 0.25912 − 2.25416I
b = 1.46511 + 0.24456I
0.57027 − 8.62979I 0
u = 0.209486 + 1.012630I
a = 0.01204 − 1.73362I
b = 1.45610 + 0.18075I
−2.24906 − 3.84323I 0
u = 0.209486 − 1.012630I
a = 0.01204 + 1.73362I
b = 1.45610 − 0.18075I
−2.24906 + 3.84323I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.867416 + 0.421365I
a = 0.607270 − 0.176153I
b = 0.786540 + 0.184391I
1.30510 − 1.99753I 0
u = −0.867416 − 0.421365I
a = 0.607270 + 0.176153I
b = 0.786540 − 0.184391I
1.30510 + 1.99753I 0
u = −0.177876 + 0.947063I
a = 0.701272 + 1.190700I
b = 1.328990 − 0.174052I
1.83948 + 0.31019I 0
u = −0.177876 − 0.947063I
a = 0.701272 − 1.190700I
b = 1.328990 + 0.174052I
1.83948 − 0.31019I 0
u = 0.948364 + 0.114684I
a = 0.254988 + 0.113237I
b = −0.525303 − 0.601669I
1.80221 − 9.27217I 0
u = 0.948364 − 0.114684I
a = 0.254988 − 0.113237I
b = −0.525303 + 0.601669I
1.80221 + 9.27217I 0
u = 0.947563 + 0.054813I
a = 0.329502 + 0.114601I
b = 0.065641 − 0.525613I
3.76074 + 0.63220I 0
u = 0.947563 − 0.054813I
a = 0.329502 − 0.114601I
b = 0.065641 + 0.525613I
3.76074 − 0.63220I 0
u = −0.345652 + 1.007400I
a = −0.87690 + 1.35211I
b = 1.46787 − 0.59646I
−3.10394 + 3.05580I 0
u = −0.345652 − 1.007400I
a = −0.87690 − 1.35211I
b = 1.46787 + 0.59646I
−3.10394 − 3.05580I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.665495 + 0.832437I
a = 0.597877 + 0.524581I
b = −0.289783 − 0.387641I
−0.92855 + 2.86098I 0
u = −0.665495 − 0.832437I
a = 0.597877 − 0.524581I
b = −0.289783 + 0.387641I
−0.92855 − 2.86098I 0
u = −0.416651 + 1.004640I
a = −0.17056 − 1.70837I
b = −0.400838 + 0.074764I
2.92086 + 6.73817I 0
u = −0.416651 − 1.004640I
a = −0.17056 + 1.70837I
b = −0.400838 − 0.074764I
2.92086 − 6.73817I 0
u = 0.328815 + 1.040940I
a = −1.03808 − 1.10020I
b = 1.72147 + 0.32756I
−3.06181 − 0.42276I 0
u = 0.328815 − 1.040940I
a = −1.03808 + 1.10020I
b = 1.72147 − 0.32756I
−3.06181 + 0.42276I 0
u = 0.298772 + 1.050800I
a = 0.13707 + 1.55026I
b = 0.124904 − 0.263502I
1.30186 − 3.91353I 0
u = 0.298772 − 1.050800I
a = 0.13707 − 1.55026I
b = 0.124904 + 0.263502I
1.30186 + 3.91353I 0
u = −0.903951 + 0.035507I
a = −0.334684 + 0.266905I
b = −1.49079 − 0.18892I
−7.63137 − 5.02257I 0
u = −0.903951 − 0.035507I
a = −0.334684 − 0.266905I
b = −1.49079 + 0.18892I
−7.63137 + 5.02257I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.305158 + 0.816887I
a = 0.33859 − 1.71210I
b = 0.241817 + 1.118750I
2.35998 − 5.79520I 0
u = 0.305158 − 0.816887I
a = 0.33859 + 1.71210I
b = 0.241817 − 1.118750I
2.35998 + 5.79520I 0
u = 0.820846 + 0.267285I
a = −1.075110 − 0.400041I
b = −1.59964 + 0.01315I
−6.77889 + 2.54045I 0
u = 0.820846 − 0.267285I
a = −1.075110 + 0.400041I
b = −1.59964 − 0.01315I
−6.77889 − 2.54045I 0
u = 0.846059 + 0.764034I
a = −0.064795 − 0.277890I
b = 1.45640 − 0.15711I
−6.79054 − 0.70134I 0
u = 0.846059 − 0.764034I
a = −0.064795 + 0.277890I
b = 1.45640 + 0.15711I
−6.79054 + 0.70134I 0
u = −0.410065 + 0.753558I
a = 0.257721 + 1.114800I
b = 0.280895 − 0.583056I
−0.90606 + 1.55341I 0
u = −0.410065 − 0.753558I
a = 0.257721 − 1.114800I
b = 0.280895 + 0.583056I
−0.90606 − 1.55341I 0
u = 0.663817 + 0.931200I
a = 0.02898 + 1.54162I
b = −1.41554 − 0.29313I
−6.21862 − 4.94337I 0
u = 0.663817 − 0.931200I
a = 0.02898 − 1.54162I
b = −1.41554 + 0.29313I
−6.21862 + 4.94337I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.055156 + 0.848071I
a = 0.81299 − 1.50904I
b = −0.485747 + 0.310112I
1.85993 + 1.66350I 0
u = −0.055156 − 0.848071I
a = 0.81299 + 1.50904I
b = −0.485747 − 0.310112I
1.85993 − 1.66350I 0
u = −0.120590 + 0.837860I
a = 0.53710 − 2.73606I
b = −1.311550 − 0.073495I
−0.15517 − 7.25854I 0
u = −0.120590 − 0.837860I
a = 0.53710 + 2.73606I
b = −1.311550 + 0.073495I
−0.15517 + 7.25854I 0
u = −0.239360 + 0.811073I
a = 0.67104 − 2.24339I
b = −1.024730 + 0.221853I
1.54634 + 1.64211I 0
u = −0.239360 − 0.811073I
a = 0.67104 + 2.24339I
b = −1.024730 − 0.221853I
1.54634 − 1.64211I 0
u = 0.269501 + 1.126440I
a = −0.168913 + 1.115810I
b = 0.666706 − 0.630340I
2.03934 − 3.87980I 0
u = 0.269501 − 1.126440I
a = −0.168913 − 1.115810I
b = 0.666706 + 0.630340I
2.03934 + 3.87980I 0
u = 0.320024 + 1.120450I
a = −0.09647 + 1.68783I
b = −0.137077 − 1.008610I
1.58535 − 5.28364I 0
u = 0.320024 − 1.120450I
a = −0.09647 − 1.68783I
b = −0.137077 + 1.008610I
1.58535 + 5.28364I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.317984 + 1.122460I
a = −0.95229 − 1.24699I
b = 1.49185 + 0.10434I
−4.52917 − 3.20075I 0
u = 0.317984 − 1.122460I
a = −0.95229 + 1.24699I
b = 1.49185 − 0.10434I
−4.52917 + 3.20075I 0
u = −0.306639 + 1.126310I
a = 0.20136 − 1.64185I
b = −0.565466 + 0.757861I
1.98266 + 2.53406I 0
u = −0.306639 − 1.126310I
a = 0.20136 + 1.64185I
b = −0.565466 − 0.757861I
1.98266 − 2.53406I 0
u = 0.013356 + 0.827803I
a = −0.349403 + 0.562074I
b = −1.67021 − 0.02537I
−6.39087 + 2.02065I 0
u = 0.013356 − 0.827803I
a = −0.349403 − 0.562074I
b = −1.67021 + 0.02537I
−6.39087 − 2.02065I 0
u = −0.292769 + 1.138220I
a = −0.56388 − 1.30126I
b = 0.764263 + 1.097700I
5.68267 + 7.59871I 0
u = −0.292769 − 1.138220I
a = −0.56388 + 1.30126I
b = 0.764263 − 1.097700I
5.68267 − 7.59871I 0
u = 0.044985 + 1.184420I
a = −0.160859 − 1.263000I
b = −0.399145 + 0.580971I
3.74587 + 1.13480I 0
u = 0.044985 − 1.184420I
a = −0.160859 + 1.263000I
b = −0.399145 − 0.580971I
3.74587 − 1.13480I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.591452 + 1.029330I
a = 0.30372 − 1.57353I
b = −1.51211 + 0.41168I
−3.42516 + 11.21010I 0
u = −0.591452 − 1.029330I
a = 0.30372 + 1.57353I
b = −1.51211 − 0.41168I
−3.42516 − 11.21010I 0
u = 0.111053 + 0.799051I
a = 0.58668 + 2.35867I
b = −1.322310 − 0.072592I
−3.16650 + 2.25588I 0
u = 0.111053 − 0.799051I
a = 0.58668 − 2.35867I
b = −1.322310 + 0.072592I
−3.16650 − 2.25588I 0
u = 0.017340 + 1.193460I
a = −0.63967 + 1.52873I
b = −0.318717 − 0.660277I
6.39748 − 5.33155I 0
u = 0.017340 − 1.193460I
a = −0.63967 − 1.52873I
b = −0.318717 + 0.660277I
6.39748 + 5.33155I 0
u = −0.002475 + 0.800728I
a = 1.54046 + 0.42662I
b = −2.03520 − 0.17589I
−4.86930 − 1.22848I 0
u = −0.002475 − 0.800728I
a = 1.54046 − 0.42662I
b = −2.03520 + 0.17589I
−4.86930 + 1.22848I 0
u = −0.411807 + 1.127770I
a = −0.939757 + 1.025840I
b = 1.339180 − 0.027451I
−3.92750 − 0.69940I 0
u = −0.411807 − 1.127770I
a = −0.939757 − 1.025840I
b = 1.339180 + 0.027451I
−3.92750 + 0.69940I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.286293 + 1.168760I
a = −0.464937 − 0.653723I
b = 1.141310 + 0.599099I
4.72297 − 0.88647I 0
u = −0.286293 − 1.168760I
a = −0.464937 + 0.653723I
b = 1.141310 − 0.599099I
4.72297 + 0.88647I 0
u = −0.764720 + 0.165524I
a = −0.781745 + 0.770300I
b = −1.49881 + 0.08202I
−6.32352 − 0.11113I 0
u = −0.764720 − 0.165524I
a = −0.781745 − 0.770300I
b = −1.49881 − 0.08202I
−6.32352 + 0.11113I 0
u = −0.983411 + 0.788853I
a = −0.670181 − 0.732094I
b = −1.343380 − 0.099506I
−0.51861 − 2.64876I 0
u = −0.983411 − 0.788853I
a = −0.670181 + 0.732094I
b = −1.343380 + 0.099506I
−0.51861 + 2.64876I 0
u = 0.469999 + 0.555462I
a = 1.018480 + 0.816931I
b = 0.252338 + 0.060750I
−0.178880 + 0.828653I 0
u = 0.469999 − 0.555462I
a = 1.018480 − 0.816931I
b = 0.252338 − 0.060750I
−0.178880 − 0.828653I 0
u = −1.319750 + 0.070360I
a = 0.344735 − 0.167665I
b = 1.50974 + 0.22288I
−4.82742 − 12.35860I 0
u = −1.319750 − 0.070360I
a = 0.344735 + 0.167665I
b = 1.50974 − 0.22288I
−4.82742 + 12.35860I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.029267 + 1.338280I
a = −0.723211 + 0.352034I
b = −0.161327 − 0.286038I
6.73997 + 1.76346I 0
u = 0.029267 − 1.338280I
a = −0.723211 − 0.352034I
b = −0.161327 + 0.286038I
6.73997 − 1.76346I 0
u = −0.480236 + 1.257160I
a = −0.61828 + 1.67050I
b = 1.360700 − 0.056883I
−2.94707 + 4.84807I 0
u = −0.480236 − 1.257160I
a = −0.61828 − 1.67050I
b = 1.360700 + 0.056883I
−2.94707 − 4.84807I 0
u = 0.529183 + 1.245100I
a = −0.36871 − 1.70433I
b = 1.51942 + 0.08729I
−3.70618 − 7.66035I 0
u = 0.529183 − 1.245100I
a = −0.36871 + 1.70433I
b = 1.51942 − 0.08729I
−3.70618 + 7.66035I 0
u = 0.478702 + 1.268950I
a = 0.234035 − 1.110490I
b = 0.122953 + 0.874659I
7.74290 − 4.28518I 0
u = 0.478702 − 1.268950I
a = 0.234035 + 1.110490I
b = 0.122953 − 0.874659I
7.74290 + 4.28518I 0
u = −0.203929 + 1.347900I
a = 0.255826 + 0.576506I
b = −0.661616 − 0.539673I
7.23546 + 1.47321I 0
u = −0.203929 − 1.347900I
a = 0.255826 − 0.576506I
b = −0.661616 + 0.539673I
7.23546 − 1.47321I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.243923 + 0.585508I
a = 1.71426 − 1.22931I
b = −0.677211 + 0.670446I
1.78589 + 2.70114I 0
u = 0.243923 − 0.585508I
a = 1.71426 + 1.22931I
b = −0.677211 − 0.670446I
1.78589 − 2.70114I 0
u = 0.472975 + 1.308290I
a = 0.020706 − 1.387770I
b = 0.554955 + 0.976408I
6.0954 − 14.2634I 0
u = 0.472975 − 1.308290I
a = 0.020706 + 1.387770I
b = 0.554955 − 0.976408I
6.0954 + 14.2634I 0
u = −0.485685 + 1.308060I
a = −0.016512 + 1.221730I
b = 0.448426 − 0.794756I
2.72436 + 8.80622I 0
u = −0.485685 − 1.308060I
a = −0.016512 − 1.221730I
b = 0.448426 + 0.794756I
2.72436 − 8.80622I 0
u = −0.482126 + 1.310420I
a = −0.60989 + 1.53158I
b = 1.44761 − 0.36304I
−3.67713 + 10.05830I 0
u = −0.482126 − 1.310420I
a = −0.60989 − 1.53158I
b = 1.44761 + 0.36304I
−3.67713 − 10.05830I 0
u = 0.470960 + 1.318270I
a = −0.244101 + 1.009770I
b = −0.462786 − 0.706849I
7.79209 − 5.86442I 0
u = 0.470960 − 1.318270I
a = −0.244101 − 1.009770I
b = −0.462786 + 0.706849I
7.79209 + 5.86442I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.311795 + 1.366990I
a = 0.251787 − 0.893057I
b = −0.506581 + 0.493165I
3.33592 + 2.56159I 0
u = −0.311795 − 1.366990I
a = 0.251787 + 0.893057I
b = −0.506581 − 0.493165I
3.33592 − 2.56159I 0
u = −0.006162 + 1.411590I
a = 1.359200 + 0.310126I
b = −0.984952 − 0.255896I
4.55631 + 1.85744I 0
u = −0.006162 − 1.411590I
a = 1.359200 − 0.310126I
b = −0.984952 + 0.255896I
4.55631 − 1.85744I 0
u = 0.50300 + 1.32450I
a = −0.58636 − 1.41272I
b = 1.53634 + 0.23865I
−4.91159 − 6.12885I 0
u = 0.50300 − 1.32450I
a = −0.58636 + 1.41272I
b = 1.53634 − 0.23865I
−4.91159 + 6.12885I 0
u = −0.71700 + 1.23574I
a = 0.253055 + 1.186140I
b = 1.51331 − 0.25034I
1.32555 + 9.36622I 0
u = −0.71700 − 1.23574I
a = 0.253055 − 1.186140I
b = 1.51331 + 0.25034I
1.32555 − 9.36622I 0
u = −0.72333 + 1.26805I
a = −0.064981 − 1.241090I
b = −1.298660 + 0.310131I
3.32242 + 8.49482I 0
u = −0.72333 − 1.26805I
a = −0.064981 + 1.241090I
b = −1.298660 − 0.310131I
3.32242 − 8.49482I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482157 + 0.220360I
a = −0.278266 + 0.045029I
b = 0.970059 + 0.451821I
−0.605439 + 0.578334I −9.72146 − 4.72163I
u = −0.482157 − 0.220360I
a = −0.278266 − 0.045029I
b = 0.970059 − 0.451821I
−0.605439 − 0.578334I −9.72146 + 4.72163I
u = 1.47578 + 0.09554I
a = 0.297164 + 0.110617I
b = 1.45579 − 0.13678I
−7.65728 + 5.54083I 0
u = 1.47578 − 0.09554I
a = 0.297164 − 0.110617I
b = 1.45579 + 0.13678I
−7.65728 − 5.54083I 0
u = 1.02528 + 1.08199I
a = −0.311868 + 0.850210I
b = −1.324520 − 0.051711I
−4.36691 − 3.99481I 0
u = 1.02528 − 1.08199I
a = −0.311868 − 0.850210I
b = −1.324520 + 0.051711I
−4.36691 + 3.99481I 0
u = −0.494883
a = 0.102296
b = 0.632447
−0.995022 −10.4170
u = −0.64051 + 1.38498I
a = 0.282725 − 1.370150I
b = −1.56164 + 0.35151I
−0.7176 + 19.0975I 0
u = −0.64051 − 1.38498I
a = 0.282725 + 1.370150I
b = −1.56164 − 0.35151I
−0.7176 − 19.0975I 0
u = 0.441286 + 0.169341I
a = −0.563984 + 0.644494I
b = 0.503126 − 0.615647I
−1.11149 + 2.17687I −10.00702 − 6.78210I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.441286 − 0.169341I
a = −0.563984 − 0.644494I
b = 0.503126 + 0.615647I
−1.11149 − 2.17687I −10.00702 + 6.78210I
u = 0.68401 + 1.39597I
a = 0.235535 + 1.243560I
b = −1.50227 − 0.29335I
−3.59093 − 12.77850I 0
u = 0.68401 − 1.39597I
a = 0.235535 − 1.243560I
b = −1.50227 + 0.29335I
−3.59093 + 12.77850I 0
u = −0.06213 + 1.57487I
a = 1.306160 − 0.089405I
b = −1.348360 − 0.063021I
2.66607 − 2.78713I 0
u = −0.06213 − 1.57487I
a = 1.306160 + 0.089405I
b = −1.348360 + 0.063021I
2.66607 + 2.78713I 0
u = −1.28553 + 0.96753I
a = 0.396940 + 0.274903I
b = 1.276190 − 0.074530I
1.25242 − 1.30341I 0
u = −1.28553 − 0.96753I
a = 0.396940 − 0.274903I
b = 1.276190 + 0.074530I
1.25242 + 1.30341I 0
u = 0.241955 + 0.286787I
a = 0.52822 + 2.11625I
b = −0.010502 − 0.436220I
−0.31035 + 1.53561I −3.66990 − 2.05770I
u = 0.241955 − 0.286787I
a = 0.52822 − 2.11625I
b = −0.010502 + 0.436220I
−0.31035 − 1.53561I −3.66990 + 2.05770I
u = 0.76362 + 1.46956I
a = −0.098563 − 0.788348I
b = 1.47755 + 0.14763I
−3.07121 − 4.80744I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.76362 − 1.46956I
a = −0.098563 + 0.788348I
b = 1.47755 − 0.14763I
−3.07121 + 4.80744I 0
u = 0.104539 + 0.320779I
a = 3.67031 − 1.25778I
b = −0.669820 + 0.460719I
1.81067 + 2.73604I −8.65394 − 9.11644I
u = 0.104539 − 0.320779I
a = 3.67031 + 1.25778I
b = −0.669820 − 0.460719I
1.81067 − 2.73604I −8.65394 + 9.11644I
u = 0.68136 + 1.58249I
a = −0.165977 + 0.230023I
b = −0.051096 − 0.345852I
5.34498 + 3.05259I 0
u = 0.68136 − 1.58249I
a = −0.165977 − 0.230023I
b = −0.051096 + 0.345852I
5.34498 − 3.05259I 0
u = −0.171884 + 0.102164I
a = −1.68530 − 4.79340I
b = −0.175850 + 0.767770I
2.78895 − 5.20934I −2.76911 + 4.47247I
u = −0.171884 − 0.102164I
a = −1.68530 + 4.79340I
b = −0.175850 − 0.767770I
2.78895 + 5.20934I −2.76911 − 4.47247I
u = −0.56846 + 2.23731I
a = 0.238955 − 0.106565I
b = −1.358650 − 0.068988I
1.05518 − 4.29031I 0
u = −0.56846 − 2.23731I
a = 0.238955 + 0.106565I
b = −1.358650 + 0.068988I
1.05518 + 4.29031I 0
18
II.
I
u
2
= h2.42 × 10
20
u
33
− 2.35 × 10
21
u
32
+ · · · + 1.44 × 10
21
b − 2.35 × 10
21
, 7.16 ×
10
18
u
33
+2.05×10
19
u
32
+· · ·+7.88×10
18
a−1.30×10
19
, u
34
−u
33
+· · ·−2u+1i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
1
=
−0.908550u
33
− 2.59612u
32
+ ··· + 12.0468u + 1.65619
−0.168089u
33
+ 1.62843u
32
+ ··· − 5.13536u + 1.62728
a
9
=
1
u
2
a
10
=
2.63831u
33
− 1.50005u
32
+ ··· + 2.33522u − 6.43665
−1.74573u
33
− 0.0271975u
32
+ ··· + 3.80070u + 2.36963
a
4
=
u
u
3
+ u
a
2
=
−2.91393u
33
+ 0.199904u
32
+ ··· + 5.19820u + 6.46239
−2.01382u
33
+ 3.30889u
32
+ ··· − 8.39724u + 5.64283
a
3
=
−10.0759u
33
+ 4.65189u
32
+ ··· − 2.16344u + 22.0079
−9.04370u
33
+ 4.86761u
32
+ ··· − 3.67696u + 13.2638
a
12
=
−1.07664u
33
− 0.967690u
32
+ ··· + 6.91139u + 3.28347
−0.168089u
33
+ 1.62843u
32
+ ··· − 5.13536u + 1.62728
a
7
=
−6.36158u
33
+ 4.81683u
32
+ ··· − 11.9301u + 11.3245
1.11212u
33
+ 1.18109u
32
+ ··· − 4.00294u + 1.46834
a
6
=
−10.4173u
33
+ 5.09406u
32
+ ··· − 7.36855u + 21.4701
−3.55043u
33
+ 2.29948u
32
+ ··· − 1.14029u + 12.6122
a
11
=
4.67923u
33
− 3.76446u
32
+ ··· + 6.15777u − 10.6570
0.168089u
33
− 2.62843u
32
+ ··· + 7.13536u − 1.62728
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
5133919483953423541516
480542306801763112573
u
33
+
7144395300028282477834
480542306801763112573
u
32
+ ··· −
23143811246033497749879
480542306801763112573
u +
10489682874481635754129
480542306801763112573
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
− 3u
33
+ ··· + 2u + 1
c
2
u
34
+ 3u
33
+ ··· − 12u
2
+ 1
c
3
u
34
+ 8u
32
+ ··· + 3u + 1
c
4
u
34
+ u
33
+ ··· + 2u + 1
c
5
u
34
− 11u
31
+ ··· − 14u + 7
c
6
u
34
− 3u
33
+ ··· − 12u
2
+ 1
c
7
u
34
− 22u
32
+ ··· − 2u + 1
c
8
u
34
− u
33
+ ··· − 2u + 1
c
9
u
34
+ 2u
33
+ ··· + 6u + 1
c
10
u
34
− 8u
33
+ ··· − 3u + 1
c
11
, c
12
u
34
− 22u
32
+ ··· + 2u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 19y
33
+ ··· + 16y + 1
c
2
, c
6
y
34
− 17y
33
+ ··· − 24y + 1
c
3
y
34
+ 16y
33
+ ··· − 43y + 1
c
4
, c
8
y
34
+ 31y
33
+ ··· + 6y + 1
c
5
y
34
− 4y
32
+ ··· + 420y + 49
c
7
, c
11
, c
12
y
34
− 44y
33
+ ··· − 4y + 1
c
9
y
34
− 10y
33
+ ··· − 6y + 1
c
10
y
34
− 18y
33
+ ··· + 13y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.250991 + 0.969974I
a = −0.63563 + 1.93750I
b = 0.129935 − 0.763170I
4.06668 − 6.23256I 2.12183 + 6.48438I
u = 0.250991 − 0.969974I
a = −0.63563 − 1.93750I
b = 0.129935 + 0.763170I
4.06668 + 6.23256I 2.12183 − 6.48438I
u = −0.677603 + 0.700787I
a = −0.792597 − 0.465438I
b = 0.243331 + 0.272295I
−0.81533 + 3.14866I 2.56827 − 13.46216I
u = −0.677603 − 0.700787I
a = −0.792597 + 0.465438I
b = 0.243331 − 0.272295I
−0.81533 − 3.14866I 2.56827 + 13.46216I
u = 0.257266 + 1.099500I
a = −1.13109 − 0.96855I
b = 1.59236 + 0.30128I
−3.30866 − 2.09368I −4.38002 + 1.39172I
u = 0.257266 − 1.099500I
a = −1.13109 + 0.96855I
b = 1.59236 − 0.30128I
−3.30866 + 2.09368I −4.38002 − 1.39172I
u = −0.493506 + 1.020270I
a = 0.39609 + 2.03796I
b = 1.42569 − 0.23612I
−0.59879 + 9.53316I −4.52624 − 9.24335I
u = −0.493506 − 1.020270I
a = 0.39609 − 2.03796I
b = 1.42569 + 0.23612I
−0.59879 − 9.53316I −4.52624 + 9.24335I
u = 0.047750 + 0.865028I
a = 0.993652 − 0.060201I
b = −1.96390 + 0.12117I
−4.58568 + 1.03591I 3.42727 + 4.29021I
u = 0.047750 − 0.865028I
a = 0.993652 + 0.060201I
b = −1.96390 − 0.12117I
−4.58568 − 1.03591I 3.42727 − 4.29021I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.277085 + 1.117790I
a = 0.18153 − 1.72208I
b = −0.130570 + 0.636388I
1.92760 + 4.15710I 2.71544 − 4.86218I
u = −0.277085 − 1.117790I
a = 0.18153 + 1.72208I
b = −0.130570 − 0.636388I
1.92760 − 4.15710I 2.71544 + 4.86218I
u = 0.841720 + 0.966361I
a = 0.417053 − 1.141370I
b = 1.372320 + 0.138010I
−4.84372 − 4.73899I −7.36388 + 8.17453I
u = 0.841720 − 0.966361I
a = 0.417053 + 1.141370I
b = 1.372320 − 0.138010I
−4.84372 + 4.73899I −7.36388 − 8.17453I
u = 0.629391 + 0.167260I
a = −0.245765 + 1.045850I
b = −1.56741 + 0.02046I
−7.51453 − 2.12726I −10.87405 + 3.06968I
u = 0.629391 − 0.167260I
a = −0.245765 − 1.045850I
b = −1.56741 − 0.02046I
−7.51453 + 2.12726I −10.87405 − 3.06968I
u = −0.026109 + 1.362470I
a = −0.0339369 + 0.0621455I
b = −0.920837 − 0.190099I
5.37188 − 2.58329I 0. + 3.79080I
u = −0.026109 − 1.362470I
a = −0.0339369 − 0.0621455I
b = −0.920837 + 0.190099I
5.37188 + 2.58329I 0. − 3.79080I
u = 0.471911 + 1.279610I
a = −0.58081 − 1.65905I
b = 1.49801 + 0.15734I
−3.85962 − 6.71967I 0
u = 0.471911 − 1.279610I
a = −0.58081 + 1.65905I
b = 1.49801 − 0.15734I
−3.85962 + 6.71967I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.025080 + 0.611874I
a = −2.19622 + 2.16804I
b = 0.822926 − 0.452030I
2.13503 + 2.66695I 14.7577 − 4.6092I
u = 0.025080 − 0.611874I
a = −2.19622 − 2.16804I
b = 0.822926 + 0.452030I
2.13503 − 2.66695I 14.7577 + 4.6092I
u = −0.493390 + 0.354956I
a = 1.52749 + 0.53896I
b = 1.159940 − 0.126418I
0.558027 − 0.158162I −2.97180 − 0.11446I
u = −0.493390 − 0.354956I
a = 1.52749 − 0.53896I
b = 1.159940 + 0.126418I
0.558027 + 0.158162I −2.97180 + 0.11446I
u = −0.043892 + 1.406880I
a = 1.53185 − 0.14746I
b = −1.027860 − 0.109949I
4.92213 + 1.40586I 0
u = −0.043892 − 1.406880I
a = 1.53185 + 0.14746I
b = −1.027860 + 0.109949I
4.92213 − 1.40586I 0
u = −0.361296 + 0.455613I
a = 1.120080 − 0.599527I
b = 0.491759 + 0.255867I
−0.21706 − 1.46690I −5.50931 + 5.93816I
u = −0.361296 − 0.455613I
a = 1.120080 + 0.599527I
b = 0.491759 − 0.255867I
−0.21706 + 1.46690I −5.50931 − 5.93816I
u = 0.527366 + 0.015721I
a = −0.83416 − 1.39593I
b = −1.57966 + 0.00185I
−7.50532 + 2.12522I −11.90247 − 2.43579I
u = 0.527366 − 0.015721I
a = −0.83416 + 1.39593I
b = −1.57966 − 0.00185I
−7.50532 − 2.12522I −11.90247 + 2.43579I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.41539 + 1.53396I
a = −0.0417313 − 0.0719245I
b = −0.185653 − 0.217265I
5.09978 + 3.10128I 0
u = 0.41539 − 1.53396I
a = −0.0417313 + 0.0719245I
b = −0.185653 + 0.217265I
5.09978 − 3.10128I 0
u = −0.59399 + 1.93477I
a = 0.324210 − 0.335059I
b = −1.360380 − 0.058900I
0.94290 − 3.97207I 0
u = −0.59399 − 1.93477I
a = 0.324210 + 0.335059I
b = −1.360380 + 0.058900I
0.94290 + 3.97207I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 3u
33
+ ··· + 2u + 1)(u
139
− 10u
138
+ ··· + 668505u − 38071)
c
2
(u
34
+ 3u
33
+ ··· − 12u
2
+ 1)(u
139
− 6u
138
+ ··· + 73u + 1721)
c
3
(u
34
+ 8u
32
+ ··· + 3u + 1)(u
139
+ u
138
+ ··· + 3238u + 389)
c
4
(u
34
+ u
33
+ ··· + 2u + 1)(u
139
+ 4u
138
+ ··· + 10765u + 1543)
c
5
(u
34
− 11u
31
+ ··· − 14u + 7)(u
139
+ u
138
+ ··· − 112549u + 43381)
c
6
(u
34
− 3u
33
+ ··· − 12u
2
+ 1)(u
139
− 6u
138
+ ··· + 73u + 1721)
c
7
(u
34
− 22u
32
+ ··· − 2u + 1)(u
139
− u
138
+ ··· − 629u + 71)
c
8
(u
34
− u
33
+ ··· − 2u + 1)(u
139
+ 4u
138
+ ··· + 10765u + 1543)
c
9
(u
34
+ 2u
33
+ ··· + 6u + 1)(u
139
+ 3u
138
+ ··· − 19u + 1)
c
10
(u
34
− 8u
33
+ ··· − 3u + 1)(u
139
+ 7u
138
+ ··· + 685122u + 90743)
c
11
, c
12
(u
34
− 22u
32
+ ··· + 2u + 1)(u
139
− u
138
+ ··· − 629u + 71)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ 19y
33
+ ··· + 16y + 1)
· (y
139
+ 46y
138
+ ··· − 59985059471y −1449401041)
c
2
, c
6
(y
34
− 17y
33
+ ··· − 24y + 1)
· (y
139
− 74y
138
+ ··· + 121225685y −2961841)
c
3
(y
34
+ 16y
33
+ ··· − 43y + 1)
· (y
139
+ 27y
138
+ ··· − 3405768y −151321)
c
4
, c
8
(y
34
+ 31y
33
+ ··· + 6y + 1)
· (y
139
+ 94y
138
+ ··· − 45669961y −2380849)
c
5
(y
34
− 4y
32
+ ··· + 420y + 49)
· (y
139
+ 15y
138
+ ··· − 293305335987y −1881911161)
c
7
, c
11
, c
12
(y
34
− 44y
33
+ ··· − 4y + 1)(y
139
− 145y
138
+ ··· + 23317y −5041)
c
9
(y
34
− 10y
33
+ ··· − 6y + 1)(y
139
− 11y
138
+ ··· + 31y −1)
c
10
(y
34
− 18y
33
+ ··· + 13y + 1)
· (y
139
− 51y
138
+ ··· + 9380316628y −8234292049)
27
