12a
1050
(K12a
1050
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 11 3 12 6 2 1 8 5
Solving Sequence
7,12 3,8
2 6 9 4 11 5 1 10
c
7
c
2
c
6
c
8
c
3
c
11
c
5
c
12
c
10
c
1
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= hb − u,
1038287630242143u
29
− 958498975405341u
28
+ ··· + 319885682890594a − 1073606987003145,
u
30
+ 9u
28
+ ··· + u + 1i
I
u
2
= h−1.41328 × 10
1030
u
161
− 6.25485 × 10
1030
u
160
+ ··· + 1.10537 × 10
1032
b + 2.26405 × 10
1037
,
− 1.18364 × 10
1037
u
161
− 1.15080 × 10
1037
u
160
+ ··· + 5.49710 × 10
1038
a − 7.94857 × 10
1043
,
u
162
+ 2u
161
+ ··· − 47832405u − 4973081i
I
u
3
= hb + u, −734u
15
+ 181u
14
+ ··· + 293a − 1410,
u
16
+ u
15
+ 3u
14
+ 2u
13
+ u
12
+ 2u
11
− 9u
10
− u
9
− 21u
8
− 4u
7
− 26u
6
− 5u
5
− 18u
4
− 3u
3
− 7u
2
− u − 1i
I
u
4
= h−1.89209 × 10
23
u
35
− 2.03575 × 10
23
u
34
+ ··· + 4.01297 × 10
22
b + 1.58103 × 10
23
,
− 5.17931 × 10
23
u
35
− 1.18836 × 10
24
u
34
+ ··· + 4.01297 × 10
22
a − 1.89759 × 10
24
, u
36
+ u
35
+ ··· − 5u + 1i
I
u
5
= hb − u, a + 2u − 2, u
2
− u + 1i
* 5 irreducible components of dim
C
= 0, with total 246 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
= hb − u, 1.04 × 10
15
u
29
− 9.58 × 10
14
u
28
+ · · · + 3.20 × 10
14
a − 1.07 ×
10
15
, u
30
+ 9u
28
+ · · · + u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−3.24581u
29
+ 2.99638u
28
+ ··· + 0.0490322u + 3.35622
u
a
8
=
1
u
2
a
2
=
−3.24581u
29
+ 2.99638u
28
+ ··· + 1.04903u + 3.35622
u
a
6
=
−2.99638u
29
− 1.59260u
28
+ ··· − 6.60203u − 2.24581
−u
2
a
9
=
−2.24792u
29
+ 0.435669u
28
+ ··· − 1.11933u + 1.58988
0.494712u
29
+ 0.504033u
28
+ ··· + 2.28664u + 1.07932
a
4
=
−2.65873u
29
+ 1.54575u
28
+ ··· − 3.82666u − 0.511097
0.859974u
29
+ 0.408482u
28
+ ··· + 1.56275u + 0.0318001
a
11
=
u
u
3
+ u
a
5
=
−2.28377u
29
− 1.01732u
28
+ ··· − 4.29969u − 1.73253
0.380987u
29
+ 0.209763u
28
+ ··· + 1.01444u − 0.0620043
a
1
=
0.149967u
29
− 1.33960u
28
+ ··· − 1.47705u − 2.31641
−1.11679u
29
+ 0.869739u
28
+ ··· + 0.544449u + 0.862712
a
10
=
2.50317u
29
+ 1.18430u
28
+ ··· + 7.47794u + 3.74054
−0.380987u
29
− 0.209763u
28
+ ··· − 1.01444u + 0.0620043
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
342774543239619
159942841445297
u
29
+
474438880742083
159942841445297
u
28
+ ··· +
4794999154726662
159942841445297
u +
233245930441382
159942841445297
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
30
− 3u
29
+ ··· − 2u + 1
c
2
, c
6
, c
7
c
11
u
30
+ 9u
28
+ ··· − u + 1
c
3
, c
5
u
30
− u
29
+ ··· + 12u + 11
c
4
u
30
− 22u
29
+ ··· − 17664u + 1536
c
8
u
30
+ 19u
29
+ ··· + 22608u + 2592
c
9
, c
12
u
30
− u
29
+ ··· + 11u
2
+ 2
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
30
+ 15y
29
+ ··· + 30y + 1
c
2
, c
6
, c
7
c
11
y
30
+ 18y
29
+ ··· + 7y + 1
c
3
, c
5
y
30
− y
29
+ ··· + 890y + 121
c
4
y
30
+ 8y
29
+ ··· + 26935296y + 2359296
c
8
y
30
− 5y
29
+ ··· + 33737472y + 6718464
c
9
, c
12
y
30
− 5y
29
+ ··· + 44y + 4
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.449233 + 0.940800I
a = −1.042800 + 0.142208I
b = −0.449233 + 0.940800I
1.29911 + 11.91330I 1.70103 − 12.86421I
u = −0.449233 − 0.940800I
a = −1.042800 − 0.142208I
b = −0.449233 − 0.940800I
1.29911 − 11.91330I 1.70103 + 12.86421I
u = 1.039650 + 0.080672I
a = 0.988016 − 0.252509I
b = 1.039650 + 0.080672I
−0.50635 + 9.09970I −2.62952 − 7.49406I
u = 1.039650 − 0.080672I
a = 0.988016 + 0.252509I
b = 1.039650 − 0.080672I
−0.50635 − 9.09970I −2.62952 + 7.49406I
u = −0.192642 + 0.892017I
a = −1.116590 − 0.674078I
b = −0.192642 + 0.892017I
3.81522 − 0.95935I 6.29739 + 2.72741I
u = −0.192642 − 0.892017I
a = −1.116590 + 0.674078I
b = −0.192642 − 0.892017I
3.81522 + 0.95935I 6.29739 − 2.72741I
u = 0.528654 + 0.725501I
a = 0.207468 − 0.513474I
b = 0.528654 + 0.725501I
−1.12796 − 2.16922I −4.84782 + 3.12859I
u = 0.528654 − 0.725501I
a = 0.207468 + 0.513474I
b = 0.528654 − 0.725501I
−1.12796 + 2.16922I −4.84782 − 3.12859I
u = 0.216729 + 1.101220I
a = 0.12091 − 2.80714I
b = 0.216729 + 1.101220I
4.12713 − 2.60846I 4.07410 + 8.65048I
u = 0.216729 − 1.101220I
a = 0.12091 + 2.80714I
b = 0.216729 − 1.101220I
4.12713 + 2.60846I 4.07410 − 8.65048I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.334146 + 0.806203I
a = 0.97112 + 1.30413I
b = 0.334146 + 0.806203I
2.39563 − 1.87382I 2.69727 + 2.55936I
u = 0.334146 − 0.806203I
a = 0.97112 − 1.30413I
b = 0.334146 − 0.806203I
2.39563 + 1.87382I 2.69727 − 2.55936I
u = 0.008350 + 0.766245I
a = 1.31335 − 4.65457I
b = 0.008350 + 0.766245I
−0.91288 − 6.45984I 6.96574 + 6.19266I
u = 0.008350 − 0.766245I
a = 1.31335 + 4.65457I
b = 0.008350 − 0.766245I
−0.91288 + 6.45984I 6.96574 − 6.19266I
u = −0.746790 + 0.129308I
a = −0.581917 − 0.242711I
b = −0.746790 + 0.129308I
1.94728 − 2.37977I 0.01549 + 3.22068I
u = −0.746790 − 0.129308I
a = −0.581917 + 0.242711I
b = −0.746790 − 0.129308I
1.94728 + 2.37977I 0.01549 − 3.22068I
u = −0.339807 + 1.223790I
a = −0.89868 − 2.29972I
b = −0.339807 + 1.223790I
9.08252 + 4.70541I 7.58999 − 4.89180I
u = −0.339807 − 1.223790I
a = −0.89868 + 2.29972I
b = −0.339807 − 1.223790I
9.08252 − 4.70541I 7.58999 + 4.89180I
u = −0.598923 + 0.180377I
a = −1.19103 − 2.17009I
b = −0.598923 + 0.180377I
−2.84910 + 6.12107I −11.6552 − 8.5759I
u = −0.598923 − 0.180377I
a = −1.19103 + 2.17009I
b = −0.598923 − 0.180377I
−2.84910 − 6.12107I −11.6552 + 8.5759I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.545038 + 1.269990I
a = −1.05931 − 1.88668I
b = −0.545038 + 1.269990I
8.6354 + 12.3602I 6.89874 − 8.94538I
u = −0.545038 − 1.269990I
a = −1.05931 + 1.88668I
b = −0.545038 − 1.269990I
8.6354 − 12.3602I 6.89874 + 8.94538I
u = −0.76172 + 1.19937I
a = −1.29587 − 1.18790I
b = −0.76172 + 1.19937I
6.51330 + 6.47115I 3.75399 − 6.89218I
u = −0.76172 − 1.19937I
a = −1.29587 + 1.18790I
b = −0.76172 − 1.19937I
6.51330 − 6.47115I 3.75399 + 6.89218I
u = 0.313821 + 0.430877I
a = −0.606847 − 0.536231I
b = 0.313821 + 0.430877I
−0.192876 − 1.170060I −2.11608 + 6.41291I
u = 0.313821 − 0.430877I
a = −0.606847 + 0.536231I
b = 0.313821 − 0.430877I
−0.192876 + 1.170060I −2.11608 − 6.41291I
u = 0.66183 + 1.33533I
a = 1.03587 − 1.54140I
b = 0.66183 + 1.33533I
6.7565 − 21.4337I 1.89596 + 10.81516I
u = 0.66183 − 1.33533I
a = 1.03587 + 1.54140I
b = 0.66183 − 1.33533I
6.7565 + 21.4337I 1.89596 − 10.81516I
u = 0.53097 + 1.50169I
a = 0.65631 − 1.42667I
b = 0.53097 + 1.50169I
8.72016 − 3.34746I 7.85889 + 0.87317I
u = 0.53097 − 1.50169I
a = 0.65631 + 1.42667I
b = 0.53097 − 1.50169I
8.72016 + 3.34746I 7.85889 − 0.87317I
7
II. I
u
2
= h−1.41 × 10
1030
u
161
− 6.25 × 10
1030
u
160
+ · · · + 1.11 × 10
1032
b +
2.26 × 10
1037
, −1.18 × 10
1037
u
161
− 1.15 × 10
1037
u
160
+ · · · + 5.50 ×
10
1038
a − 7.95 × 10
1043
, u
162
+ 2u
161
+ · · · − 47832405u − 4973081i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
0.0215320u
161
+ 0.0209347u
160
+ ··· + 1.26150 × 10
6
u + 144596.
0.0127856u
161
+ 0.0565860u
160
+ ··· − 2.04836 × 10
6
u − 204823.
a
8
=
1
u
2
a
2
=
0.0343177u
161
+ 0.0775207u
160
+ ··· − 786853.u − 60227.2
0.0127856u
161
+ 0.0565860u
160
+ ··· − 2.04836 × 10
6
u − 204823.
a
6
=
−0.0211515u
161
− 0.0906693u
160
+ ··· + 3.11461 × 10
6
u + 310143.
0.00672843u
161
+ 0.0300770u
160
+ ··· − 1.19310 × 10
6
u − 119473.
a
9
=
0.0422973u
161
+ 0.0991295u
160
+ ··· − 1.59305 × 10
6
u − 138499.
0.00681074u
161
+ 0.00910050u
160
+ ··· + 300382.u + 34734.8
a
4
=
0.0684913u
161
+ 0.264874u
160
+ ··· − 7.29836 × 10
6
u − 718586.
−0.00950507u
161
− 0.0170791u
160
+ ··· + 198269.u + 9569.50
a
11
=
u
u
3
+ u
a
5
=
−0.0126198u
161
− 0.0530040u
160
+ ··· + 1.70926 × 10
6
u + 169761.
0.00878790u
161
+ 0.0400472u
160
+ ··· − 1.57058 × 10
6
u − 157399.
a
1
=
−0.0119242u
161
+ 0.00757900u
160
+ ··· − 1.69460 × 10
6
u − 187863.
0.0134614u
161
+ 0.0466547u
160
+ ··· − 1.33051 × 10
6
u − 128598.
a
10
=
0.0578349u
161
+ 0.139788u
160
+ ··· − 2.13978 × 10
6
u − 182492.
0.0210823u
161
+ 0.0177459u
160
+ ··· + 1.60534 × 10
6
u + 180830.
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.128045u
161
+ 0.241674u
160
+ ··· + 417800.u + 122922.
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
162
− 15u
161
+ ··· − 1915810u + 78157
c
2
, c
6
, c
7
c
11
u
162
− 2u
161
+ ··· + 47832405u − 4973081
c
3
, c
5
u
162
− 5u
161
+ ··· − 1263792898u − 135983129
c
4
(u
81
+ 4u
80
+ ··· − 9u + 1)
2
c
8
(u
81
− 13u
80
+ ··· − 348250u − 398125)
2
c
9
, c
12
u
162
− 13u
161
+ ··· − 1252u + 5341
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
162
− 5y
161
+ ··· + 315891474626y + 6108516649
c
2
, c
6
, c
7
c
11
y
162
+ 96y
161
+ ··· + 1122280033576759y + 24731534632561
c
3
, c
5
y
162
− 79y
161
+ ··· − 1050391772674517412y + 18491411372630641
c
4
(y
81
− 36y
80
+ ··· + 151y − 1)
2
c
8
(y
81
− 65y
80
+ ··· + 3852346312500y − 158503515625)
2
c
9
, c
12
y
162
+ 29y
161
+ ··· − 2042438378y + 28526281
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512433 + 0.858107I
a = −1.56439 − 1.14376I
b = −0.021504 − 0.885713I
2.62612 − 2.03925I 0
u = 0.512433 − 0.858107I
a = −1.56439 + 1.14376I
b = −0.021504 + 0.885713I
2.62612 + 2.03925I 0
u = 0.145803 + 0.995620I
a = −0.12521 + 2.89018I
b = −0.21774 − 1.48046I
4.97164 − 0.41306I 0
u = 0.145803 − 0.995620I
a = −0.12521 − 2.89018I
b = −0.21774 + 1.48046I
4.97164 + 0.41306I 0
u = 0.757871 + 0.640617I
a = 0.223968 + 0.318131I
b = −0.168701 + 1.066500I
−0.450299 + 0.683300I 0
u = 0.757871 − 0.640617I
a = 0.223968 − 0.318131I
b = −0.168701 − 1.066500I
−0.450299 − 0.683300I 0
u = −0.935488 + 0.378434I
a = −0.493795 − 0.101544I
b = −0.291077 + 0.780516I
−1.21159 − 3.47818I 0
u = −0.935488 − 0.378434I
a = −0.493795 + 0.101544I
b = −0.291077 − 0.780516I
−1.21159 + 3.47818I 0
u = −1.009490 + 0.082758I
a = 0.144527 − 0.572008I
b = 0.279301 + 1.280210I
5.28165 − 6.21646I 0
u = −1.009490 − 0.082758I
a = 0.144527 + 0.572008I
b = 0.279301 − 1.280210I
5.28165 + 6.21646I 0
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.412029 + 0.891858I
a = −0.683993 − 0.241671I
b = −0.533283 + 0.580692I
−0.95013 − 2.08177I 0
u = 0.412029 − 0.891858I
a = −0.683993 + 0.241671I
b = −0.533283 − 0.580692I
−0.95013 + 2.08177I 0
u = 0.519713 + 0.810533I
a = 3.34397 − 1.12815I
b = 0.067527 − 0.928521I
3.14164 − 1.81489I 0
u = 0.519713 − 0.810533I
a = 3.34397 + 1.12815I
b = 0.067527 + 0.928521I
3.14164 + 1.81489I 0
u = −0.955469 + 0.100910I
a = −0.526877 + 0.609433I
b = −0.480389 − 1.194020I
5.08464 − 6.96702I 0
u = −0.955469 − 0.100910I
a = −0.526877 − 0.609433I
b = −0.480389 + 1.194020I
5.08464 + 6.96702I 0
u = 0.111590 + 1.053510I
a = −0.17695 + 2.23642I
b = −0.85395 − 1.30740I
5.44010 − 4.01731I 0
u = 0.111590 − 1.053510I
a = −0.17695 − 2.23642I
b = −0.85395 + 1.30740I
5.44010 + 4.01731I 0
u = −0.209883 + 0.916511I
a = −0.936561 + 0.160907I
b = 1.047010 + 0.532708I
−1.156040 − 0.497979I 0
u = −0.209883 − 0.916511I
a = −0.936561 − 0.160907I
b = 1.047010 − 0.532708I
−1.156040 + 0.497979I 0
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.203861 + 1.047750I
a = −1.131320 + 0.390938I
b = −0.596978 − 0.695658I
0.55788 + 7.73645I 0
u = −0.203861 − 1.047750I
a = −1.131320 − 0.390938I
b = −0.596978 + 0.695658I
0.55788 − 7.73645I 0
u = 0.067527 + 0.928521I
a = −2.06891 − 3.00695I
b = 0.519713 − 0.810533I
3.14164 + 1.81489I 0
u = 0.067527 − 0.928521I
a = −2.06891 + 3.00695I
b = 0.519713 + 0.810533I
3.14164 − 1.81489I 0
u = −0.403847 + 1.001040I
a = 0.972188 + 0.638285I
b = 0.638989 − 0.893575I
0.29347 + 5.89699I 0
u = −0.403847 − 1.001040I
a = 0.972188 − 0.638285I
b = 0.638989 + 0.893575I
0.29347 − 5.89699I 0
u = −0.168701 + 1.066500I
a = 0.356727 − 0.024490I
b = 0.757871 + 0.640617I
−0.450299 + 0.683300I 0
u = −0.168701 − 1.066500I
a = 0.356727 + 0.024490I
b = 0.757871 − 0.640617I
−0.450299 − 0.683300I 0
u = −0.596978 + 0.695658I
a = 1.174400 − 0.750538I
b = −0.203861 − 1.047750I
0.55788 − 7.73645I 0
u = −0.596978 − 0.695658I
a = 1.174400 + 0.750538I
b = −0.203861 + 1.047750I
0.55788 + 7.73645I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.556675 + 0.721239I
a = −0.486203 + 0.128189I
b = 0.470448 − 0.329063I
−1.18885 − 2.26631I 0
u = 0.556675 − 0.721239I
a = −0.486203 − 0.128189I
b = 0.470448 + 0.329063I
−1.18885 + 2.26631I 0
u = −0.307643 + 1.045480I
a = −0.71470 − 2.54306I
b = −0.56943 + 1.36887I
2.87307 + 11.89210I 0
u = −0.307643 − 1.045480I
a = −0.71470 + 2.54306I
b = −0.56943 − 1.36887I
2.87307 − 11.89210I 0
u = 0.108889 + 1.086580I
a = 0.37526 − 3.67069I
b = 0.453686 + 1.003950I
3.76566 − 2.19626I 0
u = 0.108889 − 1.086580I
a = 0.37526 + 3.67069I
b = 0.453686 − 1.003950I
3.76566 + 2.19626I 0
u = −0.115536 + 0.897724I
a = 1.51318 − 0.28133I
b = −1.318600 − 0.090799I
−1.38965 + 5.51445I 0
u = −0.115536 − 0.897724I
a = 1.51318 + 0.28133I
b = −1.318600 + 0.090799I
−1.38965 − 5.51445I 0
u = −0.286546 + 1.060440I
a = 0.84668 + 2.28405I
b = 0.617252 − 1.244230I
1.43885 + 5.66327I 0
u = −0.286546 − 1.060440I
a = 0.84668 − 2.28405I
b = 0.617252 + 1.244230I
1.43885 − 5.66327I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.638989 + 0.893575I
a = −1.075960 + 0.385013I
b = −0.403847 − 1.001040I
0.29347 − 5.89699I 0
u = 0.638989 − 0.893575I
a = −1.075960 − 0.385013I
b = −0.403847 + 1.001040I
0.29347 + 5.89699I 0
u = 0.453686 + 1.003950I
a = 1.51280 − 3.32988I
b = 0.108889 + 1.086580I
3.76566 − 2.19626I 0
u = 0.453686 − 1.003950I
a = 1.51280 + 3.32988I
b = 0.108889 − 1.086580I
3.76566 + 2.19626I 0
u = 0.500231 + 0.987406I
a = −0.113954 + 1.069820I
b = −0.016879 + 0.463860I
2.53258 − 1.74513I 0
u = 0.500231 − 0.987406I
a = −0.113954 − 1.069820I
b = −0.016879 − 0.463860I
2.53258 + 1.74513I 0
u = −0.021504 + 0.885713I
a = 2.17115 − 0.25574I
b = 0.512433 − 0.858107I
2.62612 + 2.03925I 0
u = −0.021504 − 0.885713I
a = 2.17115 + 0.25574I
b = 0.512433 + 0.858107I
2.62612 − 2.03925I 0
u = −0.236688 + 1.094480I
a = −0.911354 − 0.289853I
b = 0.075281 + 0.561161I
3.96542 − 1.04583I 0
u = −0.236688 − 1.094480I
a = −0.911354 + 0.289853I
b = 0.075281 − 0.561161I
3.96542 + 1.04583I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.875010 + 0.701374I
a = −0.770488 + 0.471265I
b = −0.157943 − 0.747564I
−1.66166 − 2.52133I 0
u = 0.875010 − 0.701374I
a = −0.770488 − 0.471265I
b = −0.157943 + 0.747564I
−1.66166 + 2.52133I 0
u = 0.057961 + 0.865236I
a = −0.28751 + 4.29189I
b = 0.057961 − 0.865236I
−1.97189 0
u = 0.057961 − 0.865236I
a = −0.28751 − 4.29189I
b = 0.057961 + 0.865236I
−1.97189 0
u = 0.027828 + 0.865924I
a = 0.751447 − 0.473201I
b = −0.860284 + 0.988822I
4.59681 + 3.31614I 0
u = 0.027828 − 0.865924I
a = 0.751447 + 0.473201I
b = −0.860284 − 0.988822I
4.59681 − 3.31614I 0
u = 0.769595 + 0.325344I
a = −0.569829 − 0.525763I
b = −0.529535 + 0.181712I
0.36607 − 2.90205I 0
u = 0.769595 − 0.325344I
a = −0.569829 + 0.525763I
b = −0.529535 − 0.181712I
0.36607 + 2.90205I 0
u = −0.291077 + 0.780516I
a = −0.313224 − 0.524262I
b = −0.935488 + 0.378434I
−1.21159 − 3.47818I 0
u = −0.291077 − 0.780516I
a = −0.313224 + 0.524262I
b = −0.935488 − 0.378434I
−1.21159 + 3.47818I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.830393 + 0.029504I
a = −1.24676 + 0.83114I
b = −0.626767 − 0.052292I
−3.65545 + 1.37519I 0
u = 0.830393 − 0.029504I
a = −1.24676 − 0.83114I
b = −0.626767 + 0.052292I
−3.65545 − 1.37519I 0
u = 1.047010 + 0.532708I
a = −0.307134 − 0.695817I
b = −0.209883 + 0.916511I
−1.156040 − 0.497979I 0
u = 1.047010 − 0.532708I
a = −0.307134 + 0.695817I
b = −0.209883 − 0.916511I
−1.156040 + 0.497979I 0
u = −0.372385 + 1.119160I
a = 0.233864 − 0.676700I
b = −0.596775 − 0.085152I
5.57476 + 1.26107I 0
u = −0.372385 − 1.119160I
a = 0.233864 + 0.676700I
b = −0.596775 + 0.085152I
5.57476 − 1.26107I 0
u = 0.590944 + 1.051200I
a = −0.0352149 − 0.0751616I
b = −0.348936 + 0.423459I
−0.39673 − 2.90112I 0
u = 0.590944 − 1.051200I
a = −0.0352149 + 0.0751616I
b = −0.348936 − 0.423459I
−0.39673 + 2.90112I 0
u = −1.155170 + 0.349157I
a = 0.414460 + 0.227910I
b = 0.231689 − 1.224410I
0.98145 + 5.35116I 0
u = −1.155170 − 0.349157I
a = 0.414460 − 0.227910I
b = 0.231689 + 1.224410I
0.98145 − 5.35116I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.533283 + 0.580692I
a = −0.606038 + 0.670713I
b = 0.412029 + 0.891858I
−0.95013 − 2.08177I 0
u = −0.533283 − 0.580692I
a = −0.606038 − 0.670713I
b = 0.412029 − 0.891858I
−0.95013 + 2.08177I 0
u = −0.379537 + 1.166630I
a = −0.287074 + 0.807064I
b = 1.260680 − 0.392746I
3.24751 + 6.55339I 0
u = −0.379537 − 1.166630I
a = −0.287074 − 0.807064I
b = 1.260680 + 0.392746I
3.24751 − 6.55339I 0
u = −0.812370 + 0.928927I
a = −0.393145 − 0.449552I
b = −0.812370 − 0.928927I
5.43471 0
u = −0.812370 − 0.928927I
a = −0.393145 + 0.449552I
b = −0.812370 + 0.928927I
5.43471 0
u = −0.157943 + 0.747564I
a = 0.435776 + 1.251920I
b = 0.875010 − 0.701374I
−1.66166 + 2.52133I 0
u = −0.157943 − 0.747564I
a = 0.435776 − 1.251920I
b = 0.875010 + 0.701374I
−1.66166 − 2.52133I 0
u = 0.231689 + 1.224410I
a = 0.010178 + 0.457941I
b = −1.155170 − 0.349157I
0.98145 − 5.35116I 0
u = 0.231689 − 1.224410I
a = 0.010178 − 0.457941I
b = −1.155170 + 0.349157I
0.98145 + 5.35116I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.230370 + 0.254703I
a = 0.458305 + 0.363439I
b = 0.55533 − 1.31007I
3.2921 + 14.7804I 0
u = 1.230370 − 0.254703I
a = 0.458305 − 0.363439I
b = 0.55533 + 1.31007I
3.2921 − 14.7804I 0
u = −0.319455 + 1.229650I
a = 0.42204 + 1.71387I
b = −0.427974 − 1.343660I
9.57560 + 2.05177I 0
u = −0.319455 − 1.229650I
a = 0.42204 − 1.71387I
b = −0.427974 + 1.343660I
9.57560 − 2.05177I 0
u = −1.258400 + 0.224628I
a = 0.319793 − 0.210496I
b = 0.50264 + 1.39154I
0.80371 − 6.31586I 0
u = −1.258400 − 0.224628I
a = 0.319793 + 0.210496I
b = 0.50264 − 1.39154I
0.80371 + 6.31586I 0
u = −0.480389 + 1.194020I
a = 0.329898 − 0.502838I
b = −0.955469 − 0.100910I
5.08464 + 6.96702I 0
u = −0.480389 − 1.194020I
a = 0.329898 + 0.502838I
b = −0.955469 + 0.100910I
5.08464 − 6.96702I 0
u = 1.281720 + 0.237816I
a = 0.363279 + 0.164218I
b = 0.42535 − 1.43716I
4.28311 − 3.65401I 0
u = 1.281720 − 0.237816I
a = 0.363279 − 0.164218I
b = 0.42535 + 1.43716I
4.28311 + 3.65401I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.279301 + 1.280210I
a = 0.423438 + 0.169368I
b = −1.009490 + 0.082758I
5.28165 − 6.21646I 0
u = 0.279301 − 1.280210I
a = 0.423438 − 0.169368I
b = −1.009490 − 0.082758I
5.28165 + 6.21646I 0
u = −0.860284 + 0.988822I
a = 0.151296 − 0.567165I
b = 0.027828 + 0.865924I
4.59681 + 3.31614I 0
u = −0.860284 − 0.988822I
a = 0.151296 + 0.567165I
b = 0.027828 − 0.865924I
4.59681 − 3.31614I 0
u = −0.591986 + 1.173790I
a = 0.342599 + 0.107155I
b = −0.346029 − 0.556883I
1.31737 + 9.03075I 0
u = −0.591986 − 1.173790I
a = 0.342599 − 0.107155I
b = −0.346029 + 0.556883I
1.31737 − 9.03075I 0
u = 1.260680 + 0.392746I
a = −0.457565 + 0.651176I
b = −0.379537 − 1.166630I
3.24751 − 6.55339I 0
u = 1.260680 − 0.392746I
a = −0.457565 − 0.651176I
b = −0.379537 + 1.166630I
3.24751 + 6.55339I 0
u = −1.318600 + 0.090799I
a = −0.130965 + 1.045830I
b = −0.115536 − 0.897724I
−1.38965 − 5.51445I 0
u = −1.318600 − 0.090799I
a = −0.130965 − 1.045830I
b = −0.115536 + 0.897724I
−1.38965 + 5.51445I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.346029 + 0.556883I
a = −0.174283 + 0.698348I
b = −0.591986 − 1.173790I
1.31737 − 9.03075I 0
u = −0.346029 − 0.556883I
a = −0.174283 − 0.698348I
b = −0.591986 + 1.173790I
1.31737 + 9.03075I 0
u = −0.149861 + 1.343480I
a = −0.34255 − 1.61940I
b = 0.46213 + 1.64750I
7.69928 − 1.29048I 0
u = −0.149861 − 1.343480I
a = −0.34255 + 1.61940I
b = 0.46213 − 1.64750I
7.69928 + 1.29048I 0
u = −0.626767 + 0.052292I
a = 1.59287 + 1.17537I
b = 0.830393 − 0.029504I
−3.65545 − 1.37519I 0
u = −0.626767 − 0.052292I
a = 1.59287 − 1.17537I
b = 0.830393 + 0.029504I
−3.65545 + 1.37519I 0
u = 0.022779 + 1.373030I
a = −0.15349 − 1.79171I
b = −0.43295 + 1.39446I
9.95382 − 0.97789I 0
u = 0.022779 − 1.373030I
a = −0.15349 + 1.79171I
b = −0.43295 − 1.39446I
9.95382 + 0.97789I 0
u = 0.617252 + 1.244230I
a = −1.00959 + 1.64080I
b = −0.286546 − 1.060440I
1.43885 − 5.66327I 0
u = 0.617252 − 1.244230I
a = −1.00959 − 1.64080I
b = −0.286546 + 1.060440I
1.43885 + 5.66327I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.596775 + 0.085152I
a = −1.221090 + 0.686600I
b = −0.372385 − 1.119160I
5.57476 − 1.26107I 0
u = −0.596775 − 0.085152I
a = −1.221090 − 0.686600I
b = −0.372385 + 1.119160I
5.57476 + 1.26107I 0
u = −0.457576 + 1.327340I
a = −0.311758 + 0.409802I
b = 1.41697 + 0.24184I
0.58587 + 5.61514I 0
u = −0.457576 − 1.327340I
a = −0.311758 − 0.409802I
b = 1.41697 − 0.24184I
0.58587 − 5.61514I 0
u = −0.551315 + 1.291600I
a = 0.93491 + 1.79988I
b = 0.40397 − 1.39491I
8.9863 + 11.7712I 0
u = −0.551315 − 1.291600I
a = 0.93491 − 1.79988I
b = 0.40397 + 1.39491I
8.9863 − 11.7712I 0
u = −0.427974 + 1.343660I
a = 0.50186 + 1.50893I
b = −0.319455 − 1.229650I
9.57560 − 2.05177I 0
u = −0.427974 − 1.343660I
a = 0.50186 − 1.50893I
b = −0.319455 + 1.229650I
9.57560 + 2.05177I 0
u = 0.55533 + 1.31007I
a = −0.235598 − 0.459632I
b = 1.230370 − 0.254703I
3.2921 − 14.7804I 0
u = 0.55533 − 1.31007I
a = −0.235598 + 0.459632I
b = 1.230370 + 0.254703I
3.2921 + 14.7804I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.470448 + 0.329063I
a = −0.239423 + 0.761179I
b = 0.556675 − 0.721239I
−1.18885 + 2.26631I 0
u = 0.470448 − 0.329063I
a = −0.239423 − 0.761179I
b = 0.556675 + 0.721239I
−1.18885 − 2.26631I 0
u = 0.075281 + 0.561161I
a = −1.50082 − 1.15106I
b = −0.236688 + 1.094480I
3.96542 − 1.04583I 0
u = 0.075281 − 0.561161I
a = −1.50082 + 1.15106I
b = −0.236688 − 1.094480I
3.96542 + 1.04583I 0
u = 1.41697 + 0.24184I
a = −0.345569 − 0.365393I
b = −0.457576 + 1.327340I
0.58587 + 5.61514I 0
u = 1.41697 − 0.24184I
a = −0.345569 + 0.365393I
b = −0.457576 − 1.327340I
0.58587 − 5.61514I 0
u = −0.529535 + 0.181712I
a = 0.109848 + 1.151910I
b = 0.769595 + 0.325344I
0.36607 − 2.90205I 0
u = −0.529535 − 0.181712I
a = 0.109848 − 1.151910I
b = 0.769595 − 0.325344I
0.36607 + 2.90205I 0
u = −0.348936 + 0.423459I
a = −0.181989 + 0.012522I
b = 0.590944 + 1.051200I
−0.39673 − 2.90112I 0
u = −0.348936 − 0.423459I
a = −0.181989 − 0.012522I
b = 0.590944 − 1.051200I
−0.39673 + 2.90112I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.40397 + 1.39491I
a = −0.68638 + 1.83730I
b = −0.551315 − 1.291600I
8.9863 − 11.7712I 0
u = 0.40397 − 1.39491I
a = −0.68638 − 1.83730I
b = −0.551315 + 1.291600I
8.9863 + 11.7712I 0
u = −0.43295 + 1.39446I
a = −0.66340 − 1.55568I
b = 0.022779 + 1.373030I
9.95382 − 0.97789I 0
u = −0.43295 − 1.39446I
a = −0.66340 + 1.55568I
b = 0.022779 − 1.373030I
9.95382 + 0.97789I 0
u = −0.62997 + 1.33590I
a = 0.93898 + 1.51064I
b = 0.68237 − 1.40239I
4.43218 + 12.85640I 0
u = −0.62997 − 1.33590I
a = 0.93898 − 1.51064I
b = 0.68237 + 1.40239I
4.43218 − 12.85640I 0
u = 0.50264 + 1.39154I
a = 0.132502 + 0.303080I
b = −1.258400 + 0.224628I
0.80371 − 6.31586I 0
u = 0.50264 − 1.39154I
a = 0.132502 − 0.303080I
b = −1.258400 − 0.224628I
0.80371 + 6.31586I 0
u = 0.39602 + 1.42579I
a = −0.44463 + 1.46195I
b = 0.21407 − 1.56500I
9.93148 − 9.21401I 0
u = 0.39602 − 1.42579I
a = −0.44463 − 1.46195I
b = 0.21407 + 1.56500I
9.93148 + 9.21401I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.56943 + 1.36887I
a = −0.72383 − 1.80179I
b = −0.307643 + 1.045480I
2.87307 + 11.89210I 0
u = −0.56943 − 1.36887I
a = −0.72383 + 1.80179I
b = −0.307643 − 1.045480I
2.87307 − 11.89210I 0
u = −0.21774 + 1.48046I
a = 0.08540 + 1.94345I
b = 0.145803 − 0.995620I
4.97164 + 0.41306I 0
u = −0.21774 − 1.48046I
a = 0.08540 − 1.94345I
b = 0.145803 + 0.995620I
4.97164 − 0.41306I 0
u = 0.42535 + 1.43716I
a = −0.109163 − 0.329124I
b = 1.281720 − 0.237816I
4.28311 + 3.65401I 0
u = 0.42535 − 1.43716I
a = −0.109163 + 0.329124I
b = 1.281720 + 0.237816I
4.28311 − 3.65401I 0
u = −0.09512 + 1.50453I
a = −0.19654 − 1.51770I
b = 0.28620 + 1.76342I
7.74831 − 1.15388I 0
u = −0.09512 − 1.50453I
a = −0.19654 + 1.51770I
b = 0.28620 − 1.76342I
7.74831 + 1.15388I 0
u = −1.50934
a = 1.06725
b = 1.57849
−4.68287 0
u = −0.016879 + 0.463860I
a = 0.99715 + 2.36389I
b = 0.500231 + 0.987406I
2.53258 − 1.74513I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.016879 − 0.463860I
a = 0.99715 − 2.36389I
b = 0.500231 − 0.987406I
2.53258 + 1.74513I 0
u = 0.68237 + 1.40239I
a = −0.90664 + 1.41967I
b = −0.62997 − 1.33590I
4.43218 − 12.85640I 0
u = 0.68237 − 1.40239I
a = −0.90664 − 1.41967I
b = −0.62997 + 1.33590I
4.43218 + 12.85640I 0
u = −0.85395 + 1.30740I
a = 0.79814 + 1.29591I
b = 0.111590 − 1.053510I
5.44010 + 4.01731I 0
u = −0.85395 − 1.30740I
a = 0.79814 − 1.29591I
b = 0.111590 + 1.053510I
5.44010 − 4.01731I 0
u = 1.57849
a = −1.02050
b = −1.50934
−4.68287 0
u = 0.21407 + 1.56500I
a = −0.15946 + 1.42261I
b = 0.39602 − 1.42579I
9.93148 + 9.21401I 0
u = 0.21407 − 1.56500I
a = −0.15946 − 1.42261I
b = 0.39602 + 1.42579I
9.93148 − 9.21401I 0
u = 0.46213 + 1.64750I
a = 0.229099 − 1.287460I
b = −0.149861 + 1.343480I
7.69928 − 1.29048I 0
u = 0.46213 − 1.64750I
a = 0.229099 + 1.287460I
b = −0.149861 − 1.343480I
7.69928 + 1.29048I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.28620 + 1.76342I
a = 0.122828 − 1.285550I
b = −0.09512 + 1.50453I
7.74831 − 1.15388I 0
u = 0.28620 − 1.76342I
a = 0.122828 + 1.285550I
b = −0.09512 − 1.50453I
7.74831 + 1.15388I 0
27
III.
I
u
3
= hb + u, −734u
15
+ 181u
14
+ · · · + 293a − 1410, u
16
+ u
15
+ · · · − u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
2.50512u
15
− 0.617747u
14
+ ··· − 11.6382u + 4.81229
−u
a
8
=
1
u
2
a
2
=
2.50512u
15
− 0.617747u
14
+ ··· − 12.6382u + 4.81229
−u
a
6
=
−3.12287u
15
− 3.17406u
14
+ ··· + 7.31741u + 3.50512
−u
2
a
9
=
3.74744u
15
+ 3.80887u
14
+ ··· − 15.1809u + 0.593857
0.286689u
15
+ 1.40614u
14
+ ··· − 1.74061u − 0.511945
a
4
=
4.39590u
15
+ 3.89420u
14
+ ··· − 25.6894u − 6.84983
1.33106u
15
+ 1.38567u
14
+ ··· − 4.93857u − 1.80546
a
11
=
u
u
3
+ u
a
5
=
−2.18089u
15
− 2.83959u
14
+ ··· + 5.88396u + 3.96587
0.522184u
15
− 0.0102389u
14
+ ··· − 1.09898u − 0.146758
a
1
=
−2.07167u
15
− 0.351536u
14
+ ··· + 4.93515u − 6.37201
−0.720137u
15
− 1.43686u
14
+ ··· + 1.44369u + 1.07167
a
10
=
−3.48805u
15
− 4.77474u
14
+ ··· + 11.1775u + 9.22867
−0.522184u
15
+ 0.0102389u
14
+ ··· + 1.09898u + 0.146758
(ii) Obstruction class = 1
(iii) Cusp Shapes =
3185
293
u
15
+
5855
293
u
14
+ ··· −
3662
293
u −
6713
293
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
16
− 4u
15
+ ··· + 8u
2
+ 1
c
2
, c
7
u
16
+ u
15
+ ··· − u − 1
c
3
, c
5
u
16
− 2u
15
+ ··· + 10u
2
− 1
c
4
u
16
− 6u
15
+ ··· − 8u
2
+ 1
c
6
, c
11
u
16
− u
15
+ ··· + u − 1
c
8
u
16
+ u
13
+ ··· + 37u + 44
c
9
, c
12
u
16
+ u
14
+ ··· − 11u + 2
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
16
− 2y
15
+ ··· + 16y + 1
c
2
, c
6
, c
7
c
11
y
16
+ 5y
15
+ ··· + 13y + 1
c
3
, c
5
y
16
− 2y
15
+ ··· − 20y + 1
c
4
y
16
+ 6y
15
+ ··· − 16y + 1
c
8
y
16
+ 6y
14
+ ··· + 3911y + 1936
c
9
, c
12
y
16
+ 2y
15
+ ··· − 53y + 4
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.592060 + 0.863415I
a = −1.05915 + 1.03727I
b = −0.592060 − 0.863415I
−1.02577 − 4.67734I −5.65090 + 5.59419I
u = 0.592060 − 0.863415I
a = −1.05915 − 1.03727I
b = −0.592060 + 0.863415I
−1.02577 + 4.67734I −5.65090 − 5.59419I
u = −0.614419 + 0.860141I
a = 0.333592 + 1.113720I
b = 0.614419 − 0.860141I
3.49086 + 4.82972I 2.21580 − 6.31142I
u = −0.614419 − 0.860141I
a = 0.333592 − 1.113720I
b = 0.614419 + 0.860141I
3.49086 − 4.82972I 2.21580 + 6.31142I
u = 0.246477 + 1.093440I
a = −0.22389 + 3.00248I
b = −0.246477 − 1.093440I
4.24334 − 2.06485I 7.24940 − 4.45089I
u = 0.246477 − 1.093440I
a = −0.22389 − 3.00248I
b = −0.246477 + 1.093440I
4.24334 + 2.06485I 7.24940 + 4.45089I
u = −0.284980 + 0.799719I
a = −0.963447 − 0.110403I
b = 0.284980 − 0.799719I
7.09502 + 2.34872I 9.46627 − 2.87092I
u = −0.284980 − 0.799719I
a = −0.963447 + 0.110403I
b = 0.284980 + 0.799719I
7.09502 − 2.34872I 9.46627 + 2.87092I
u = 0.324670 + 0.783821I
a = −1.37964 − 1.17093I
b = −0.324670 − 0.783821I
2.14631 − 2.74663I −1.59579 + 10.42633I
u = 0.324670 − 0.783821I
a = −1.37964 + 1.17093I
b = −0.324670 + 0.783821I
2.14631 + 2.74663I −1.59579 − 10.42633I
31
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38814
a = −1.14584
b = −1.38814
−5.04879 −24.4310
u = −0.49308 + 1.36578I
a = 0.71446 + 1.76339I
b = 0.49308 − 1.36578I
6.67717 + 12.38700I 2.39219 − 9.54639I
u = −0.49308 − 1.36578I
a = 0.71446 − 1.76339I
b = 0.49308 + 1.36578I
6.67717 − 12.38700I 2.39219 + 9.54639I
u = −0.147311 + 0.489997I
a = 0.65324 − 4.40227I
b = 0.147311 − 0.489997I
−1.45120 − 6.37650I −7.62737 + 3.65085I
u = −0.147311 − 0.489997I
a = 0.65324 + 4.40227I
b = 0.147311 + 0.489997I
−1.45120 + 6.37650I −7.62737 − 3.65085I
u = −1.63498
a = 0.995493
b = 1.63498
−4.40398 26.5320
32
IV.
I
u
4
= h−1.89×10
23
u
35
−2.04×10
23
u
34
+· · ·+4.01×10
22
b+1.58×10
23
, −5.18×
10
23
u
35
−1.19×10
24
u
34
+· · ·+4.01×10
22
a−1.90×10
24
, u
36
+u
35
+· · ·−5u+1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
12.9064u
35
+ 29.6131u
34
+ ··· − 126.653u + 47.2864
4.71494u
35
+ 5.07293u
34
+ ··· + 33.0974u − 3.93979
a
8
=
1
u
2
a
2
=
17.6214u
35
+ 34.6860u
34
+ ··· − 93.5552u + 43.3466
4.71494u
35
+ 5.07293u
34
+ ··· + 33.0974u − 3.93979
a
6
=
−14.0943u
35
− 7.88760u
34
+ ··· − 252.812u + 43.2033
0.0442055u
35
+ 0.974307u
34
+ ··· − 10.5700u + 5.87301
a
9
=
33.5628u
35
+ 30.9546u
34
+ ··· + 253.130u − 23.5349
0.598467u
35
− 4.69580u
34
+ ··· + 116.376u − 25.1793
a
4
=
−19.8289u
35
− 24.6222u
34
+ ··· − 23.1178u − 8.00354
−4.02420u
35
− 2.74113u
34
+ ··· − 71.8049u + 11.7930
a
11
=
u
u
3
+ u
a
5
=
−12.5082u
35
− 7.16357u
34
+ ··· − 220.332u + 38.8645
1.42665u
35
+ 1.82004u
34
+ ··· + 16.0141u + 2.39634
a
1
=
3.02990u
35
+ 8.90801u
34
+ ··· − 102.663u + 23.4781
3.05249u
35
+ 8.44770u
34
+ ··· − 83.8348u + 22.1681
a
10
=
−12.2037u
35
− 23.3130u
34
+ ··· + 73.6885u − 24.3272
−13.3543u
35
− 19.2670u
34
+ ··· + 9.59052u − 13.7166
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1009559048178357751475129
40129683758578691916323
u
35
+
222601695048292064322363
40129683758578691916323
u
34
+ ··· +
29700683414882181083918445
40129683758578691916323
u −
5700161845371451471985897
40129683758578691916323
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
36
− 8u
34
+ ··· − 6u + 1
c
2
, c
7
u
36
+ u
35
+ ··· − 5u + 1
c
3
, c
5
u
36
+ 10u
35
+ ··· − 8u + 1
c
4
(u
18
+ 11u
17
+ ··· + u − 1)
2
c
6
, c
11
u
36
− u
35
+ ··· + 5u + 1
c
8
(u
18
− 14u
17
+ ··· + 3u − 1)
2
c
9
, c
12
u
36
+ 7u
34
+ ··· + 58u + 5
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
36
− 16y
35
+ ··· + 22y + 1
c
2
, c
6
, c
7
c
11
y
36
+ 21y
35
+ ··· + 27y + 1
c
3
, c
5
y
36
− 18y
35
+ ··· + 4y + 1
c
4
(y
18
− 27y
17
+ ··· + 5y + 1)
2
c
8
(y
18
− 30y
17
+ ··· + 7y + 1)
2
c
9
, c
12
y
36
+ 14y
35
+ ··· + 636y + 25
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.541473 + 0.830962I
a = −2.09717 + 2.03383I
b = −0.043999 + 0.916796I
3.09034 − 1.86167I 0.8564 + 60.9206I
u = 0.541473 − 0.830962I
a = −2.09717 − 2.03383I
b = −0.043999 − 0.916796I
3.09034 + 1.86167I 0.8564 − 60.9206I
u = 0.386474 + 0.837721I
a = 0.419150 + 0.156355I
b = −0.880189 + 0.675372I
−1.73831 + 0.48135I −9.52466 + 0.97628I
u = 0.386474 − 0.837721I
a = 0.419150 − 0.156355I
b = −0.880189 − 0.675372I
−1.73831 − 0.48135I −9.52466 − 0.97628I
u = 0.043999 + 0.916796I
a = 0.55043 + 3.10845I
b = −0.541473 + 0.830962I
3.09034 + 1.86167I 0.8564 − 60.9206I
u = 0.043999 − 0.916796I
a = 0.55043 − 3.10845I
b = −0.541473 − 0.830962I
3.09034 − 1.86167I 0.8564 + 60.9206I
u = −1.084870 + 0.023231I
a = −0.353053 + 0.855440I
b = −0.040741 − 0.632363I
−1.94708 − 5.10746I −6.87261 + 2.69949I
u = −1.084870 − 0.023231I
a = −0.353053 − 0.855440I
b = −0.040741 + 0.632363I
−1.94708 + 5.10746I −6.87261 − 2.69949I
u = 0.880189 + 0.675372I
a = −0.203647 − 0.311319I
b = −0.386474 + 0.837721I
−1.73831 − 0.48135I −9.52466 − 0.97628I
u = 0.880189 − 0.675372I
a = −0.203647 + 0.311319I
b = −0.386474 − 0.837721I
−1.73831 + 0.48135I −9.52466 + 0.97628I
36
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.271165 + 1.085780I
a = 1.096240 − 0.351622I
b = −0.535514 − 0.645292I
3.43335 − 1.38990I 2.04757 + 8.62806I
u = −0.271165 − 1.085780I
a = 1.096240 + 0.351622I
b = −0.535514 + 0.645292I
3.43335 + 1.38990I 2.04757 − 8.62806I
u = 0.535514 + 0.645292I
a = 1.24417 + 0.90153I
b = 0.271165 − 1.085780I
3.43335 − 1.38990I 2.04757 + 8.62806I
u = 0.535514 − 0.645292I
a = 1.24417 − 0.90153I
b = 0.271165 + 1.085780I
3.43335 + 1.38990I 2.04757 − 8.62806I
u = 0.454742 + 1.078240I
a = −0.367164 + 0.530546I
b = −0.684840 − 0.182885I
−0.60073 − 3.90759I −3.09553 + 6.62345I
u = 0.454742 − 1.078240I
a = −0.367164 − 0.530546I
b = −0.684840 + 0.182885I
−0.60073 + 3.90759I −3.09553 − 6.62345I
u = −0.504760 + 1.162640I
a = −0.888848 − 0.360620I
b = −0.053754 + 0.421357I
1.56290 + 9.91227I 2.17108 − 9.92474I
u = −0.504760 − 1.162640I
a = −0.888848 + 0.360620I
b = −0.053754 − 0.421357I
1.56290 − 9.91227I 2.17108 + 9.92474I
u = −0.264126 + 1.256880I
a = −0.41171 − 1.95918I
b = 0.264126 + 1.256880I
9.00272 5.31845 + 0.I
u = −0.264126 − 1.256880I
a = −0.41171 + 1.95918I
b = 0.264126 − 1.256880I
9.00272 5.31845 + 0.I
37
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.684840 + 0.182885I
a = −1.063560 + 0.058235I
b = −0.454742 − 1.078240I
−0.60073 − 3.90759I −3.09553 + 6.62345I
u = 0.684840 − 0.182885I
a = −1.063560 − 0.058235I
b = −0.454742 + 1.078240I
−0.60073 + 3.90759I −3.09553 − 6.62345I
u = 0.040741 + 0.632363I
a = −1.43758 − 0.66688I
b = 1.084870 − 0.023231I
−1.94708 − 5.10746I −6.87261 + 2.69949I
u = 0.040741 − 0.632363I
a = −1.43758 + 0.66688I
b = 1.084870 + 0.023231I
−1.94708 + 5.10746I −6.87261 − 2.69949I
u = −0.353687 + 1.355250I
a = −0.292302 + 0.386330I
b = 1.41551 − 0.00925I
1.72116 + 6.20021I 0. − 8.78612I
u = −0.353687 − 1.355250I
a = −0.292302 − 0.386330I
b = 1.41551 + 0.00925I
1.72116 − 6.20021I 0. + 8.78612I
u = −1.41551 + 0.00925I
a = 0.294376 + 0.378311I
b = 0.353687 − 1.355250I
1.72116 + 6.20021I 0. − 8.78612I
u = −1.41551 − 0.00925I
a = 0.294376 − 0.378311I
b = 0.353687 + 1.355250I
1.72116 − 6.20021I 0. + 8.78612I
u = 0.142023 + 0.520428I
a = −0.94483 + 3.46224I
b = −0.142023 + 0.520428I
−2.70675 −8.71466 + 0.I
u = 0.142023 − 0.520428I
a = −0.94483 − 3.46224I
b = −0.142023 − 0.520428I
−2.70675 −8.71466 + 0.I
38
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.03839 + 1.48640I
a = −0.14029 − 1.55761I
b = 0.33123 + 1.79297I
7.77973 − 1.03544I 0. − 33.4931I
u = −0.03839 − 1.48640I
a = −0.14029 + 1.55761I
b = 0.33123 − 1.79297I
7.77973 + 1.03544I 0. + 33.4931I
u = 0.053754 + 0.421357I
a = 2.24679 − 1.77320I
b = 0.504760 + 1.162640I
1.56290 − 9.91227I 2.17108 + 9.92474I
u = 0.053754 − 0.421357I
a = 2.24679 + 1.77320I
b = 0.504760 − 1.162640I
1.56290 + 9.91227I 2.17108 − 9.92474I
u = −0.33123 + 1.79297I
a = −0.151003 − 1.266400I
b = 0.03839 + 1.48640I
7.77973 + 1.03544I 0
u = −0.33123 − 1.79297I
a = −0.151003 + 1.266400I
b = 0.03839 − 1.48640I
7.77973 − 1.03544I 0
39
V. I
u
5
= hb − u, a + 2u − 2, u
2
− u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−2u + 2
u
a
8
=
1
u − 1
a
2
=
−u + 2
u
a
6
=
−1
−u + 1
a
9
=
1
u − 1
a
4
=
−3u + 2
u + 1
a
11
=
u
u − 1
a
5
=
−u
−u + 2
a
1
=
−1
−u + 1
a
10
=
2u
u − 2
(ii) Obstruction class = −1
(iii) Cusp Shapes = 12u − 6
40
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
9
, c
10
c
11
, c
12
u
2
+ u + 1
c
3
, c
5
u
2
− u + 1
c
4
u
2
− 3u + 3
c
8
u
2
41
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
6
, c
7
c
9
, c
10
, c
11
c
12
y
2
+ y + 1
c
4
y
2
− 3y + 9
c
8
y
2
42
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = 1.00000 − 1.73205I
b = 0.500000 + 0.866025I
− 6.08965I 0. + 10.39230I
u = 0.500000 − 0.866025I
a = 1.00000 + 1.73205I
b = 0.500000 − 0.866025I
6.08965I 0. − 10.39230I
43
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
10
(u
2
+ u + 1)(u
16
− 4u
15
+ ··· + 8u
2
+ 1)(u
30
− 3u
29
+ ··· − 2u + 1)
· (u
36
− 8u
34
+ ··· − 6u + 1)(u
162
− 15u
161
+ ··· − 1915810u + 78157)
c
2
, c
7
(u
2
+ u + 1)(u
16
+ u
15
+ ··· − u − 1)(u
30
+ 9u
28
+ ··· − u + 1)
· (u
36
+ u
35
+ ··· − 5u + 1)(u
162
− 2u
161
+ ··· + 4.78324 × 10
7
u − 4973081)
c
3
, c
5
(u
2
− u + 1)(u
16
− 2u
15
+ ··· + 10u
2
− 1)(u
30
− u
29
+ ··· + 12u + 11)
· (u
36
+ 10u
35
+ ··· − 8u + 1)
· (u
162
− 5u
161
+ ··· − 1263792898u − 135983129)
c
4
(u
2
− 3u + 3)(u
16
− 6u
15
+ ··· − 8u
2
+ 1)(u
18
+ 11u
17
+ ··· + u − 1)
2
· (u
30
− 22u
29
+ ··· − 17664u + 1536)(u
81
+ 4u
80
+ ··· − 9u + 1)
2
c
6
, c
11
(u
2
+ u + 1)(u
16
− u
15
+ ··· + u − 1)(u
30
+ 9u
28
+ ··· − u + 1)
· (u
36
− u
35
+ ··· + 5u + 1)(u
162
− 2u
161
+ ··· + 4.78324 × 10
7
u − 4973081)
c
8
u
2
(u
16
+ u
13
+ ··· + 37u + 44)(u
18
− 14u
17
+ ··· + 3u − 1)
2
· (u
30
+ 19u
29
+ ··· + 22608u + 2592)
· (u
81
− 13u
80
+ ··· − 348250u − 398125)
2
c
9
, c
12
(u
2
+ u + 1)(u
16
+ u
14
+ ··· − 11u + 2)(u
30
− u
29
+ ··· + 11u
2
+ 2)
· (u
36
+ 7u
34
+ ··· + 58u + 5)(u
162
− 13u
161
+ ··· − 1252u + 5341)
44
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
10
(y
2
+ y + 1)(y
16
− 2y
15
+ ··· + 16y + 1)(y
30
+ 15y
29
+ ··· + 30y + 1)
· (y
36
− 16y
35
+ ··· + 22y + 1)
· (y
162
− 5y
161
+ ··· + 315891474626y + 6108516649)
c
2
, c
6
, c
7
c
11
(y
2
+ y + 1)(y
16
+ 5y
15
+ ··· + 13y + 1)(y
30
+ 18y
29
+ ··· + 7y + 1)
· (y
36
+ 21y
35
+ ··· + 27y + 1)
· (y
162
+ 96y
161
+ ··· + 1122280033576759y + 24731534632561)
c
3
, c
5
(y
2
+ y + 1)(y
16
− 2y
15
+ ··· − 20y + 1)(y
30
− y
29
+ ··· + 890y + 121)
· (y
36
− 18y
35
+ ··· + 4y + 1)
· (y
162
− 79y
161
+ ··· − 1050391772674517412y + 18491411372630641)
c
4
(y
2
− 3y + 9)(y
16
+ 6y
15
+ ··· − 16y + 1)(y
18
− 27y
17
+ ··· + 5y + 1)
2
· (y
30
+ 8y
29
+ ··· + 26935296y + 2359296)
· (y
81
− 36y
80
+ ··· + 151y − 1)
2
c
8
y
2
(y
16
+ 6y
14
+ ··· + 3911y + 1936)(y
18
− 30y
17
+ ··· + 7y + 1)
2
· (y
30
− 5y
29
+ ··· + 33737472y + 6718464)
· (y
81
− 65y
80
+ ··· + 3852346312500y − 158503515625)
2
c
9
, c
12
(y
2
+ y + 1)(y
16
+ 2y
15
+ ··· − 53y + 4)(y
30
− 5y
29
+ ··· + 44y + 4)
· (y
36
+ 14y
35
+ ··· + 636y + 25)
· (y
162
+ 29y
161
+ ··· − 2042438378y + 28526281)
45
