12a
1020
(K12a
1020
)
A knot diagram
1
Linearized knot diagam
4 7 6 9 1 11 10 5 12 3 2 8
Solving Sequence
5,8 9,12
10 1 6 4 2 3 7 11
c
8
c
9
c
12
c
5
c
4
c
1
c
3
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.40044 × 10
30
u
51
− 1.18633 × 10
32
u
50
+ ··· + 1.35700 × 10
31
b + 1.73576 × 10
33
,
− 2.27295 × 10
32
u
51
− 4.78994 × 10
33
u
50
+ ··· + 2.98541 × 10
32
a − 2.85705 × 10
35
,
u
52
+ 19u
51
+ ··· + 4304u + 352i
I
u
2
= h6.44508 × 10
84
au
75
− 2.08267 × 10
91
u
75
+ ··· − 3.22254 × 10
84
a + 1.52479 × 10
91
,
− 1.34824 × 10
87
au
75
+ 5.19629 × 10
86
u
75
+ ··· + 2.29637 × 10
87
a − 2.56035 × 10
87
,
2u
76
− 21u
75
+ ··· + 7u + 1i
I
u
3
= h−33715462178301u
32
− 249975325620775u
31
+ ··· + 13110454304539b − 1988240417047,
− 31727221761254u
32
− 267784864462700u
31
+ ··· + 13110454304539a − 56379097685388,
u
33
+ 8u
32
+ ··· − 2u + 1i
I
u
4
= h2u
5
a − 3u
4
a − 4u
5
+ 6u
3
a + 6u
4
− 3u
2
a − 12u
3
+ 4au + 8u
2
+ b − a − 9u + 3,
− 2u
5
a + 5u
4
a − 2u
5
− 11u
3
a + 3u
4
+ 10u
2
a + a
2
− 8au − 6u
2
+ a + 8u − 2,
2u
6
− 5u
5
+ 9u
4
− 9u
3
+ 7u
2
− 4u + 1i
* 4 irreducible components of dim
C
= 0, with total 249 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−5.40 × 10
30
u
51
− 1.19 × 10
32
u
50
+ · · · + 1.36 × 10
31
b + 1.74 ×
10
33
, −2.27 × 10
32
u
51
− 4.79 × 10
33
u
50
+ · · · + 2.99 × 10
32
a − 2.86 ×
10
35
, u
52
+ 19u
51
+ · · · + 4304u + 352i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
0.761351u
51
+ 16.0445u
50
+ ··· + 10398.7u + 957.005
0.397967u
51
+ 8.74225u
50
+ ··· − 479.088u − 127.911
a
10
=
−2.70304u
51
− 46.8969u
50
+ ··· − 3895.42u − 399.652
2.93589u
51
+ 57.3067u
50
+ ··· + 21884.4u + 1984.90
a
1
=
0.363384u
51
+ 7.30226u
50
+ ··· + 10877.8u + 1084.92
0.397967u
51
+ 8.74225u
50
+ ··· − 479.088u − 127.911
a
6
=
0.908460u
51
+ 16.5220u
50
+ ··· + 24384.8u + 2445.30
−0.738720u
51
− 8.56649u
50
+ ··· − 1463.71u − 319.778
a
4
=
−u
u
3
+ u
a
2
=
0.105046u
51
+ 0.592168u
50
+ ··· + 4488.89u + 506.488
−1.38508u
51
− 24.8619u
50
+ ··· − 1935.50u − 183.673
a
3
=
4.68723u
51
+ 81.2745u
50
+ ··· + 19555.9u + 1971.13
−6.25802u
51
− 115.562u
50
+ ··· − 28852.9u − 2683.34
a
7
=
−2.09264u
51
− 37.0957u
50
+ ··· + 3061.71u + 351.415
2.83123u
51
+ 55.6059u
50
+ ··· + 21975.9u + 1963.10
a
11
=
3.82698u
51
+ 70.5532u
50
+ ··· + 34625.1u + 3353.24
−2.85778u
51
− 49.9394u
50
+ ··· − 7240.73u − 763.558
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.09524u
51
− 97.4706u
50
+ ··· + 31667.1u + 2690.77
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
52
+ u
51
+ ··· − 52u
3
+ 4
c
2
, c
6
u
52
− 3u
50
+ ··· − 3u + 1
c
3
, c
7
u
52
+ 2u
51
+ ··· + 23u + 71
c
4
, c
8
u
52
− 19u
51
+ ··· − 4304u + 352
c
5
, c
12
u
52
+ u
51
+ ··· + u + 1
c
10
u
52
+ 48u
51
+ ··· + 557056u + 16384
c
11
u
52
+ 42u
51
+ ··· + 4266320u + 202144
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
52
− 9y
51
+ ··· − 512y
2
+ 16
c
2
, c
6
y
52
− 6y
51
+ ··· − 11y + 1
c
3
, c
7
y
52
+ 24y
51
+ ··· + 176687y + 5041
c
4
, c
8
y
52
+ 25y
51
+ ··· − 361216y + 123904
c
5
, c
12
y
52
− 37y
51
+ ··· − 89y + 1
c
10
y
52
− 18y
51
+ ··· − 20535312384y + 268435456
c
11
y
52
+ 30y
50
+ ··· + 152596979968y + 40862196736
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.328451 + 0.935194I
a = −1.15085 + 1.22004I
b = −1.42856 − 0.20998I
−6.34012 + 4.20838I 0
u = −0.328451 − 0.935194I
a = −1.15085 − 1.22004I
b = −1.42856 + 0.20998I
−6.34012 − 4.20838I 0
u = −0.902564 + 0.355034I
a = −0.220234 − 0.489176I
b = 1.219410 − 0.714398I
−1.38181 + 6.48157I 0
u = −0.902564 − 0.355034I
a = −0.220234 + 0.489176I
b = 1.219410 + 0.714398I
−1.38181 − 6.48157I 0
u = −1.042250 + 0.264800I
a = 0.073541 + 0.208892I
b = −0.652538 + 0.602452I
4.05163 + 0.57099I 0
u = −1.042250 − 0.264800I
a = 0.073541 − 0.208892I
b = −0.652538 − 0.602452I
4.05163 − 0.57099I 0
u = 0.028086 + 1.089510I
a = 1.74172 − 0.65890I
b = 1.263660 + 0.488619I
−7.50048 − 5.07397I 0
u = 0.028086 − 1.089510I
a = 1.74172 + 0.65890I
b = 1.263660 − 0.488619I
−7.50048 + 5.07397I 0
u = 0.113428 + 0.865994I
a = −1.62163 − 0.52299I
b = −0.486527 − 0.936129I
−2.20451 + 2.53303I 0
u = 0.113428 − 0.865994I
a = −1.62163 + 0.52299I
b = −0.486527 + 0.936129I
−2.20451 − 2.53303I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.139630 + 0.144121I
a = −0.069796 + 0.215777I
b = −1.084110 + 0.714195I
−3.9054 + 16.0898I 0
u = −1.139630 − 0.144121I
a = −0.069796 − 0.215777I
b = −1.084110 − 0.714195I
−3.9054 − 16.0898I 0
u = −0.032590 + 1.181210I
a = −1.31852 + 0.67896I
b = −1.115370 − 0.270913I
−6.85222 + 3.97901I 0
u = −0.032590 − 1.181210I
a = −1.31852 − 0.67896I
b = −1.115370 + 0.270913I
−6.85222 − 3.97901I 0
u = −0.639841 + 0.504049I
a = 0.554019 + 0.110829I
b = −0.111463 + 0.734460I
1.01955 − 1.49899I 0
u = −0.639841 − 0.504049I
a = 0.554019 − 0.110829I
b = −0.111463 − 0.734460I
1.01955 + 1.49899I 0
u = 0.325092 + 1.144900I
a = 0.688696 + 0.083452I
b = 0.359959 + 0.304509I
−2.69752 − 1.79497I 0
u = 0.325092 − 1.144900I
a = 0.688696 − 0.083452I
b = 0.359959 − 0.304509I
−2.69752 + 1.79497I 0
u = −1.161450 + 0.263222I
a = 0.110192 − 0.294304I
b = 1.109200 − 0.488432I
−3.10795 + 6.16802I 0
u = −1.161450 − 0.263222I
a = 0.110192 + 0.294304I
b = 1.109200 + 0.488432I
−3.10795 − 6.16802I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.413496 + 1.133530I
a = 1.114460 − 0.210487I
b = 0.859652 + 0.640849I
−0.95428 − 2.56092I 0
u = −0.413496 − 1.133530I
a = 1.114460 + 0.210487I
b = 0.859652 − 0.640849I
−0.95428 + 2.56092I 0
u = −0.570351 + 1.086220I
a = 0.81209 − 1.18864I
b = 1.50263 − 0.16787I
−7.56789 − 7.94239I 0
u = −0.570351 − 1.086220I
a = 0.81209 + 1.18864I
b = 1.50263 + 0.16787I
−7.56789 + 7.94239I 0
u = −0.212975 + 1.221720I
a = −1.392520 − 0.221159I
b = −0.745673 − 0.944265I
−4.62509 − 2.73147I 0
u = −0.212975 − 1.221720I
a = −1.392520 + 0.221159I
b = −0.745673 + 0.944265I
−4.62509 + 2.73147I 0
u = −0.391466 + 1.182060I
a = 1.96201 − 0.32460I
b = 1.50361 + 1.09924I
−8.72332 + 0.03559I 0
u = −0.391466 − 1.182060I
a = 1.96201 + 0.32460I
b = 1.50361 − 1.09924I
−8.72332 − 0.03559I 0
u = −0.585160 + 1.189660I
a = −1.73574 + 0.50189I
b = −1.65827 − 0.93012I
−3.99868 − 11.96830I 0
u = −0.585160 − 1.189660I
a = −1.73574 − 0.50189I
b = −1.65827 + 0.93012I
−3.99868 + 11.96830I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.248660 + 0.463663I
a = 0.125035 − 0.161915I
b = 0.508560 − 0.097927I
2.13531 + 0.46099I 0
u = −1.248660 − 0.463663I
a = 0.125035 + 0.161915I
b = 0.508560 + 0.097927I
2.13531 − 0.46099I 0
u = 1.241750 + 0.492072I
a = −0.307225 + 0.082560I
b = −0.184190 + 0.018725I
0.64521 + 7.48718I 0
u = 1.241750 − 0.492072I
a = −0.307225 − 0.082560I
b = −0.184190 − 0.018725I
0.64521 − 7.48718I 0
u = 0.577845 + 0.271593I
a = 0.773070 − 0.268452I
b = 0.325659 − 0.021301I
−1.377640 − 0.111913I −9.16313 − 0.18104I
u = 0.577845 − 0.271593I
a = 0.773070 + 0.268452I
b = 0.325659 + 0.021301I
−1.377640 + 0.111913I −9.16313 + 0.18104I
u = −0.575490 + 1.253600I
a = 1.386670 − 0.168071I
b = 1.17090 + 0.86501I
0.87628 − 6.32968I 0
u = −0.575490 − 1.253600I
a = 1.386670 + 0.168071I
b = 1.17090 − 0.86501I
0.87628 + 6.32968I 0
u = 0.550269 + 0.271190I
a = 0.297594 − 1.274230I
b = 0.250845 − 0.444111I
−1.36698 + 2.91511I −11.37029 − 4.82665I
u = 0.550269 − 0.271190I
a = 0.297594 + 1.274230I
b = 0.250845 + 0.444111I
−1.36698 − 2.91511I −11.37029 + 4.82665I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593028 + 0.034561I
a = 0.706912 + 0.503393I
b = −1.121950 − 0.578219I
−5.27303 + 3.77872I −7.01694 − 1.49061I
u = −0.593028 − 0.034561I
a = 0.706912 − 0.503393I
b = −1.121950 + 0.578219I
−5.27303 − 3.77872I −7.01694 + 1.49061I
u = −0.59616 + 1.32683I
a = 1.65508 − 0.25347I
b = 1.48244 + 0.94138I
−7.6347 − 22.2107I 0
u = −0.59616 − 1.32683I
a = 1.65508 + 0.25347I
b = 1.48244 − 0.94138I
−7.6347 + 22.2107I 0
u = −0.25973 + 1.44063I
a = −1.037070 + 0.520349I
b = −1.030180 − 0.195980I
−9.24655 + 1.17903I 0
u = −0.25973 − 1.44063I
a = −1.037070 − 0.520349I
b = −1.030180 + 0.195980I
−9.24655 − 1.17903I 0
u = −0.66205 + 1.31144I
a = −0.947816 + 0.220385I
b = −0.930756 − 0.497946I
−0.92252 − 7.27728I 0
u = −0.66205 − 1.31144I
a = −0.947816 − 0.220385I
b = −0.930756 + 0.497946I
−0.92252 + 7.27728I 0
u = −0.64166 + 1.32178I
a = −1.47083 + 0.37970I
b = −1.45741 − 0.72943I
−6.4981 − 12.5956I 0
u = −0.64166 − 1.32178I
a = −1.47083 − 0.37970I
b = −1.45741 + 0.72943I
−6.4981 + 12.5956I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.33947 + 1.49150I
a = 0.793863 − 0.630940I
b = 0.950458 − 0.029331I
−9.4880 + 10.5544I 0
u = −0.33947 − 1.49150I
a = 0.793863 + 0.630940I
b = 0.950458 + 0.029331I
−9.4880 − 10.5544I 0
10
II. I
u
2
= h6.45 × 10
84
au
75
− 2.08 × 10
91
u
75
+ · · · − 3.22 × 10
84
a + 1.52 ×
10
91
, −1.35 × 10
87
au
75
+ 5.20 × 10
86
u
75
+ · · · + 2.30 × 10
87
a − 2.56 ×
10
87
, 2u
76
− 21u
75
+ · · · + 7u + 1i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
a
−0.0000445028au
75
+ 143.807u
75
+ ··· + 0.0000222514a − 105.286
a
10
=
−50.0143au
75
+ 58.5271u
75
+ ··· − 92.6263a + 7.94192
157.791au
75
− 12.7636u
75
+ ··· − 20.7227a + 63.7323
a
1
=
0.0000445028au
75
− 143.807u
75
+ ··· + 0.999978a + 105.286
−0.0000445028au
75
+ 143.807u
75
+ ··· + 0.0000222514a − 105.286
a
6
=
−143.807au
75
− 249.451u
75
+ ··· + 105.286a + 80.3512
31.3420u
75
− 390.083u
74
+ ··· − 414.709u − 51.9207
a
4
=
−u
u
3
+ u
a
2
=
9.67142u
75
+ 148.719u
74
+ ··· + a + 80.2788
0.0000445028au
75
+ 76.7039u
75
+ ··· − 0.0000222514a − 59.0473
a
3
=
44.2868au
75
+ 53.1254u
75
+ ··· + 2.78763a + 352.203
86.3708au
75
− 18.7668u
75
+ ··· − 22.6480a − 11.8215
a
7
=
38.1345au
75
+ 194.994u
75
+ ··· + 50.8067a + 342.957
−27.9283au
75
+ 15.3685u
75
+ ··· − 38.9845a − 81.4659
a
11
=
9.83193au
75
− 67.1582u
75
+ ··· + 24.8231a − 168.467
15.4341au
75
+ 81.6461u
75
+ ··· + 4.43978a + 43.4064
(ii) Obstruction class = −1
(iii) Cusp Shapes = 392.152u
75
− 4604.87u
74
+ ··· − 3732.64u − 210.170
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
4u
152
+ 33u
151
+ ··· + 2418673u + 188072
c
2
, c
6
2u
152
+ 7u
151
+ ··· + 15u + 1
c
3
, c
7
4u
152
+ 51u
151
+ ··· + 17783877531u + 1989816602
c
4
(2u
76
+ 21u
75
+ ··· − 7u + 1)
2
c
5
, c
12
u
152
− 2u
151
+ ··· + 436500465u + 119450102
c
8
(2u
76
− 21u
75
+ ··· + 7u + 1)
2
c
10
(2u
76
+ 45u
75
+ ··· + 19u + 1)
2
c
11
(u
76
+ 24u
75
+ ··· − 413u + 26)
2
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
16y
152
− 201y
151
+ ··· + 1852754172671y + 35371077184
c
2
, c
6
4y
152
− 29y
151
+ ··· − 275y + 1
c
3
, c
7
16y
152
+ 1343y
151
+ ··· + 2.77 × 10
20
y + 3.96 × 10
18
c
4
, c
8
(4y
76
+ 191y
75
+ ··· − 119y + 1)
2
c
5
, c
12
y
152
− 14y
151
+ ··· − 275754931573328877y + 14268326867810404
c
10
(4y
76
− 61y
75
+ ··· − 59y + 1)
2
c
11
(y
76
+ 18y
75
+ ··· − 60537y + 676)
2
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.535588 + 0.860840I
a = 0.129918 − 0.891600I
b = −0.555546 + 0.294773I
−3.11544 − 0.18077I 0
u = 0.535588 + 0.860840I
a = 1.34580 + 0.57352I
b = 1.388400 − 0.045332I
−3.11544 − 0.18077I 0
u = 0.535588 − 0.860840I
a = 0.129918 + 0.891600I
b = −0.555546 − 0.294773I
−3.11544 + 0.18077I 0
u = 0.535588 − 0.860840I
a = 1.34580 − 0.57352I
b = 1.388400 + 0.045332I
−3.11544 + 0.18077I 0
u = 0.272187 + 0.982783I
a = −0.24072 + 1.48555I
b = 0.22673 + 2.23366I
−3.92663 + 12.49230I 0
u = 0.272187 + 0.982783I
a = 2.77822 − 0.29267I
b = 0.607997 − 0.663023I
−3.92663 + 12.49230I 0
u = 0.272187 − 0.982783I
a = −0.24072 − 1.48555I
b = 0.22673 − 2.23366I
−3.92663 − 12.49230I 0
u = 0.272187 − 0.982783I
a = 2.77822 + 0.29267I
b = 0.607997 + 0.663023I
−3.92663 − 12.49230I 0
u = −0.807679 + 0.640263I
a = −1.106950 + 0.854727I
b = −1.271650 + 0.065286I
−2.98754 − 8.48011I 0
u = −0.807679 + 0.640263I
a = 0.367740 + 0.184647I
b = −0.638473 − 0.532165I
−2.98754 − 8.48011I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.807679 − 0.640263I
a = −1.106950 − 0.854727I
b = −1.271650 − 0.065286I
−2.98754 + 8.48011I 0
u = −0.807679 − 0.640263I
a = 0.367740 − 0.184647I
b = −0.638473 + 0.532165I
−2.98754 + 8.48011I 0
u = −0.107286 + 0.947975I
a = −0.54250 + 3.33216I
b = −0.75145 + 3.71530I
−2.95419 − 2.31540I 0
u = −0.107286 + 0.947975I
a = 4.29899 + 0.58391I
b = 0.340786 + 0.239182I
−2.95419 − 2.31540I 0
u = −0.107286 − 0.947975I
a = −0.54250 − 3.33216I
b = −0.75145 − 3.71530I
−2.95419 + 2.31540I 0
u = −0.107286 − 0.947975I
a = 4.29899 − 0.58391I
b = 0.340786 − 0.239182I
−2.95419 + 2.31540I 0
u = −0.225154 + 1.027420I
a = −0.184524 − 1.341860I
b = 0.31161 − 1.99902I
−4.06038 − 4.09099I 0
u = −0.225154 + 1.027420I
a = −2.48341 − 0.54025I
b = −0.563478 − 0.657698I
−4.06038 − 4.09099I 0
u = −0.225154 − 1.027420I
a = −0.184524 + 1.341860I
b = 0.31161 + 1.99902I
−4.06038 + 4.09099I 0
u = −0.225154 − 1.027420I
a = −2.48341 + 0.54025I
b = −0.563478 + 0.657698I
−4.06038 + 4.09099I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.268161 + 1.031030I
a = −0.158503 − 0.283629I
b = −0.195647 − 1.324300I
−2.36415 + 5.32386I 0
u = 0.268161 + 1.031030I
a = −2.31229 + 0.18219I
b = −1.063000 + 0.317364I
−2.36415 + 5.32386I 0
u = 0.268161 − 1.031030I
a = −0.158503 + 0.283629I
b = −0.195647 + 1.324300I
−2.36415 − 5.32386I 0
u = 0.268161 − 1.031030I
a = −2.31229 − 0.18219I
b = −1.063000 − 0.317364I
−2.36415 − 5.32386I 0
u = −0.114974 + 1.076400I
a = −0.663178 + 1.188530I
b = 0.136705 − 0.755710I
−3.80712 − 2.27696I 0
u = −0.114974 + 1.076400I
a = −2.70838 − 1.13596I
b = −2.00082 − 1.08453I
−3.80712 − 2.27696I 0
u = −0.114974 − 1.076400I
a = −0.663178 − 1.188530I
b = 0.136705 + 0.755710I
−3.80712 + 2.27696I 0
u = −0.114974 − 1.076400I
a = −2.70838 + 1.13596I
b = −2.00082 + 1.08453I
−3.80712 + 2.27696I 0
u = −0.048994 + 0.911029I
a = 3.78826 − 0.69079I
b = 3.59038 − 1.09488I
−3.06874 + 1.84844I 0
u = −0.048994 + 0.911029I
a = −1.78751 − 3.70474I
b = −0.377838 + 0.160469I
−3.06874 + 1.84844I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.048994 − 0.911029I
a = 3.78826 + 0.69079I
b = 3.59038 + 1.09488I
−3.06874 − 1.84844I 0
u = −0.048994 − 0.911029I
a = −1.78751 + 3.70474I
b = −0.377838 − 0.160469I
−3.06874 − 1.84844I 0
u = 1.083970 + 0.105131I
a = 0.069922 + 0.275483I
b = 1.061600 + 0.766034I
−3.25964 − 7.35884I 0
u = 1.083970 + 0.105131I
a = 0.0147593 − 0.0299933I
b = −1.023380 − 0.635999I
−3.25964 − 7.35884I 0
u = 1.083970 − 0.105131I
a = 0.069922 − 0.275483I
b = 1.061600 − 0.766034I
−3.25964 + 7.35884I 0
u = 1.083970 − 0.105131I
a = 0.0147593 + 0.0299933I
b = −1.023380 + 0.635999I
−3.25964 + 7.35884I 0
u = −0.402448 + 1.025470I
a = 0.520157 − 0.859694I
b = 0.691616 − 1.144680I
−0.82700 − 6.65476I 0
u = −0.402448 + 1.025470I
a = −1.41986 − 0.49534I
b = −0.223236 − 0.290517I
−0.82700 − 6.65476I 0
u = −0.402448 − 1.025470I
a = 0.520157 + 0.859694I
b = 0.691616 + 1.144680I
−0.82700 + 6.65476I 0
u = −0.402448 − 1.025470I
a = −1.41986 + 0.49534I
b = −0.223236 + 0.290517I
−0.82700 + 6.65476I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397871 + 0.801045I
a = 0.616729 + 0.011071I
b = 0.377491 + 1.082780I
0.26192 − 2.61950I 0
u = −0.397871 + 0.801045I
a = 1.65979 − 0.29848I
b = 0.763302 + 0.618044I
0.26192 − 2.61950I 0
u = −0.397871 − 0.801045I
a = 0.616729 − 0.011071I
b = 0.377491 − 1.082780I
0.26192 + 2.61950I 0
u = −0.397871 − 0.801045I
a = 1.65979 + 0.29848I
b = 0.763302 − 0.618044I
0.26192 + 2.61950I 0
u = 0.345442 + 0.810936I
a = −2.17409 + 0.30062I
b = −0.11674 + 1.65977I
1.65413 + 1.54590I 0
u = 0.345442 + 0.810936I
a = 2.07197 − 1.27808I
b = 0.39149 − 2.13789I
1.65413 + 1.54590I 0
u = 0.345442 − 0.810936I
a = −2.17409 − 0.30062I
b = −0.11674 − 1.65977I
1.65413 − 1.54590I 0
u = 0.345442 − 0.810936I
a = 2.07197 + 1.27808I
b = 0.39149 + 2.13789I
1.65413 − 1.54590I 0
u = −0.672633 + 0.537761I
a = 0.700704 + 0.223927I
b = −0.070949 + 0.745220I
1.00907 − 1.48984I 0
u = −0.672633 + 0.537761I
a = 0.366009 + 0.141153I
b = −0.238709 + 0.765604I
1.00907 − 1.48984I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.672633 − 0.537761I
a = 0.700704 − 0.223927I
b = −0.070949 − 0.745220I
1.00907 + 1.48984I 0
u = −0.672633 − 0.537761I
a = 0.366009 − 0.141153I
b = −0.238709 − 0.765604I
1.00907 + 1.48984I 0
u = 1.138920 + 0.031815I
a = −0.333583 − 0.002836I
b = −0.742864 − 0.571712I
1.44895 − 7.28692I 0
u = 1.138920 + 0.031815I
a = −0.217720 + 0.177541I
b = 0.448038 + 0.660923I
1.44895 − 7.28692I 0
u = 1.138920 − 0.031815I
a = −0.333583 + 0.002836I
b = −0.742864 + 0.571712I
1.44895 + 7.28692I 0
u = 1.138920 − 0.031815I
a = −0.217720 − 0.177541I
b = 0.448038 − 0.660923I
1.44895 + 7.28692I 0
u = 0.238880 + 0.820187I
a = 0.156697 + 0.485104I
b = −0.035015 − 1.126980I
2.48746 + 3.85476I 0
u = 0.238880 + 0.820187I
a = −2.55449 + 0.21279I
b = −1.276420 + 0.542335I
2.48746 + 3.85476I 0
u = 0.238880 − 0.820187I
a = 0.156697 − 0.485104I
b = −0.035015 + 1.126980I
2.48746 − 3.85476I 0
u = 0.238880 − 0.820187I
a = −2.55449 − 0.21279I
b = −1.276420 − 0.542335I
2.48746 − 3.85476I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.103690 + 0.323525I
a = 0.414768 − 0.622036I
b = 0.974217 − 0.303836I
−2.25957 + 1.41639I 0
u = −1.103690 + 0.323525I
a = −0.166752 + 0.185437I
b = 0.720405 + 0.170199I
−2.25957 + 1.41639I 0
u = −1.103690 − 0.323525I
a = 0.414768 + 0.622036I
b = 0.974217 + 0.303836I
−2.25957 − 1.41639I 0
u = −1.103690 − 0.323525I
a = −0.166752 − 0.185437I
b = 0.720405 − 0.170199I
−2.25957 − 1.41639I 0
u = 0.241837 + 0.790005I
a = 0.410280 + 0.896100I
b = 0.65320 + 1.39320I
2.56696 − 1.36471I 0
u = 0.241837 + 0.790005I
a = 2.17782 − 0.57452I
b = 0.333964 − 0.312127I
2.56696 − 1.36471I 0
u = 0.241837 − 0.790005I
a = 0.410280 − 0.896100I
b = 0.65320 − 1.39320I
2.56696 + 1.36471I 0
u = 0.241837 − 0.790005I
a = 2.17782 + 0.57452I
b = 0.333964 + 0.312127I
2.56696 + 1.36471I 0
u = 0.735955 + 0.366481I
a = 1.019340 − 0.197301I
b = −0.389669 − 0.546262I
−0.28033 − 2.80322I 0
u = 0.735955 + 0.366481I
a = 0.188635 + 0.389701I
b = 0.909076 + 0.773195I
−0.28033 − 2.80322I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.735955 − 0.366481I
a = 1.019340 + 0.197301I
b = −0.389669 + 0.546262I
−0.28033 + 2.80322I 0
u = 0.735955 − 0.366481I
a = 0.188635 − 0.389701I
b = 0.909076 − 0.773195I
−0.28033 + 2.80322I 0
u = 0.094498 + 0.810609I
a = −1.39840 + 0.78719I
b = 0.133205 − 0.798703I
−2.29915 + 2.68091I 0
u = 0.094498 + 0.810609I
a = −2.38347 − 1.36712I
b = −1.43027 − 1.09167I
−2.29915 + 2.68091I 0
u = 0.094498 − 0.810609I
a = −1.39840 − 0.78719I
b = 0.133205 + 0.798703I
−2.29915 − 2.68091I 0
u = 0.094498 − 0.810609I
a = −2.38347 + 1.36712I
b = −1.43027 + 1.09167I
−2.29915 − 2.68091I 0
u = 0.791037 + 0.088055I
a = 0.403140 − 0.204286I
b = −0.936792 + 0.682028I
−4.13126 + 4.05336I 0
u = 0.791037 + 0.088055I
a = 0.063018 + 0.398735I
b = 1.137980 − 0.583120I
−4.13126 + 4.05336I 0
u = 0.791037 − 0.088055I
a = 0.403140 + 0.204286I
b = −0.936792 − 0.682028I
−4.13126 − 4.05336I 0
u = 0.791037 − 0.088055I
a = 0.063018 − 0.398735I
b = 1.137980 + 0.583120I
−4.13126 − 4.05336I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.221374 + 0.714341I
a = 0.80390 − 1.23448I
b = −0.334124 + 0.820846I
−2.74969 + 0.47980I 0
u = −0.221374 + 0.714341I
a = 2.39693 + 1.36979I
b = 1.21628 + 1.26794I
−2.74969 + 0.47980I 0
u = −0.221374 − 0.714341I
a = 0.80390 + 1.23448I
b = −0.334124 − 0.820846I
−2.74969 − 0.47980I 0
u = −0.221374 − 0.714341I
a = 2.39693 − 1.36979I
b = 1.21628 − 1.26794I
−2.74969 − 0.47980I 0
u = 0.517983 + 1.181470I
a = 1.086770 + 0.214441I
b = 1.00227 − 1.00595I
−2.89237 + 7.65895I 0
u = 0.517983 + 1.181470I
a = −1.80028 − 0.29267I
b = −1.39808 + 0.73198I
−2.89237 + 7.65895I 0
u = 0.517983 − 1.181470I
a = 1.086770 − 0.214441I
b = 1.00227 + 1.00595I
−2.89237 − 7.65895I 0
u = 0.517983 − 1.181470I
a = −1.80028 + 0.29267I
b = −1.39808 − 0.73198I
−2.89237 − 7.65895I 0
u = 0.422325 + 1.244260I
a = 1.78834 + 0.08633I
b = 1.46864 − 1.11575I
−8.06615 + 8.37472I 0
u = 0.422325 + 1.244260I
a = −1.80553 − 0.42586I
b = −1.36069 + 0.90546I
−8.06615 + 8.37472I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.422325 − 1.244260I
a = 1.78834 − 0.08633I
b = 1.46864 + 1.11575I
−8.06615 − 8.37472I 0
u = 0.422325 − 1.244260I
a = −1.80553 + 0.42586I
b = −1.36069 − 0.90546I
−8.06615 − 8.37472I 0
u = 0.544091 + 1.203040I
a = 0.646894 + 0.722339I
b = 1.124650 − 0.048484I
−7.22912 + 0.80652I 0
u = 0.544091 + 1.203040I
a = −0.869736 − 0.946587I
b = −1.187280 − 0.155362I
−7.22912 + 0.80652I 0
u = 0.544091 − 1.203040I
a = 0.646894 − 0.722339I
b = 1.124650 + 0.048484I
−7.22912 − 0.80652I 0
u = 0.544091 − 1.203040I
a = −0.869736 + 0.946587I
b = −1.187280 + 0.155362I
−7.22912 − 0.80652I 0
u = 0.296459 + 1.290860I
a = 1.63514 − 0.09933I
b = 1.56041 − 0.85766I
−8.82587 + 2.96182I 0
u = 0.296459 + 1.290860I
a = −1.32416 − 0.97191I
b = −0.956741 + 0.321287I
−8.82587 + 2.96182I 0
u = 0.296459 − 1.290860I
a = 1.63514 + 0.09933I
b = 1.56041 + 0.85766I
−8.82587 − 2.96182I 0
u = 0.296459 − 1.290860I
a = −1.32416 + 0.97191I
b = −0.956741 − 0.321287I
−8.82587 − 2.96182I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.279436 + 1.309240I
a = 1.29390 − 1.08416I
b = 0.812465 + 0.285098I
−8.7364 − 11.5889I 0
u = −0.279436 + 1.309240I
a = 1.73976 + 0.37496I
b = 1.65816 + 1.01293I
−8.7364 − 11.5889I 0
u = −0.279436 − 1.309240I
a = 1.29390 + 1.08416I
b = 0.812465 − 0.285098I
−8.7364 + 11.5889I 0
u = −0.279436 − 1.309240I
a = 1.73976 − 0.37496I
b = 1.65816 − 1.01293I
−8.7364 + 11.5889I 0
u = −0.610989 + 0.182482I
a = 0.742721 + 0.108824I
b = −0.008450 − 0.991596I
1.43131 + 2.87646I 0. − 4.65453I
u = −0.610989 + 0.182482I
a = −1.09209 + 0.95854I
b = −0.659765 − 0.535270I
1.43131 + 2.87646I 0. − 4.65453I
u = −0.610989 − 0.182482I
a = 0.742721 − 0.108824I
b = −0.008450 + 0.991596I
1.43131 − 2.87646I 0. + 4.65453I
u = −0.610989 − 0.182482I
a = −1.09209 − 0.95854I
b = −0.659765 + 0.535270I
1.43131 − 2.87646I 0. + 4.65453I
u = 0.312100 + 0.545995I
a = 0.370441 + 0.922008I
b = −0.543290 − 1.130310I
−2.70558 − 9.77077I −2.00000 + 3.55494I
u = 0.312100 + 0.545995I
a = −2.82444 + 0.99749I
b = −0.835381 + 1.139420I
−2.70558 − 9.77077I −2.00000 + 3.55494I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.312100 − 0.545995I
a = 0.370441 − 0.922008I
b = −0.543290 + 1.130310I
−2.70558 + 9.77077I −2.00000 − 3.55494I
u = 0.312100 − 0.545995I
a = −2.82444 − 0.99749I
b = −0.835381 − 1.139420I
−2.70558 + 9.77077I −2.00000 − 3.55494I
u = −0.336943 + 1.372960I
a = −0.904487 + 0.749414I
b = −0.722633 − 0.293307I
−7.87845 − 3.31263I 0
u = −0.336943 + 1.372960I
a = −1.45001 − 0.05513I
b = −1.37034 − 0.60102I
−7.87845 − 3.31263I 0
u = −0.336943 − 1.372960I
a = −0.904487 − 0.749414I
b = −0.722633 + 0.293307I
−7.87845 + 3.31263I 0
u = −0.336943 − 1.372960I
a = −1.45001 + 0.05513I
b = −1.37034 + 0.60102I
−7.87845 + 3.31263I 0
u = 0.56467 + 1.31693I
a = 1.57126 + 0.30257I
b = 1.37236 − 0.93787I
−7.0565 + 13.1922I 0
u = 0.56467 + 1.31693I
a = −1.74538 − 0.17581I
b = −1.52126 + 0.96238I
−7.0565 + 13.1922I 0
u = 0.56467 − 1.31693I
a = 1.57126 − 0.30257I
b = 1.37236 + 0.93787I
−7.0565 − 13.1922I 0
u = 0.56467 − 1.31693I
a = −1.74538 + 0.17581I
b = −1.52126 − 0.96238I
−7.0565 − 13.1922I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.64708 + 1.30660I
a = 0.837658 + 0.325626I
b = 1.044720 − 0.617271I
−5.98382 + 7.21430I 0
u = 0.64708 + 1.30660I
a = −1.42737 − 0.49039I
b = −1.365980 + 0.339583I
−5.98382 + 7.21430I 0
u = 0.64708 − 1.30660I
a = 0.837658 − 0.325626I
b = 1.044720 + 0.617271I
−5.98382 − 7.21430I 0
u = 0.64708 − 1.30660I
a = −1.42737 + 0.49039I
b = −1.365980 − 0.339583I
−5.98382 − 7.21430I 0
u = 0.56653 + 1.34749I
a = −1.247200 + 0.138847I
b = −1.09771 + 1.07434I
−2.64650 + 13.26040I 0
u = 0.56653 + 1.34749I
a = 1.56235 + 0.24571I
b = 1.175880 − 0.731412I
−2.64650 + 13.26040I 0
u = 0.56653 − 1.34749I
a = −1.247200 − 0.138847I
b = −1.09771 − 1.07434I
−2.64650 − 13.26040I 0
u = 0.56653 − 1.34749I
a = 1.56235 − 0.24571I
b = 1.175880 + 0.731412I
−2.64650 − 13.26040I 0
u = 1.09906 + 0.97294I
a = 0.962472 + 0.344753I
b = 1.117660 − 0.046805I
−3.08762 − 0.32452I 0
u = 1.09906 + 0.97294I
a = −0.002525 − 0.249222I
b = −0.551521 + 0.279360I
−3.08762 − 0.32452I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.09906 − 0.97294I
a = 0.962472 − 0.344753I
b = 1.117660 + 0.046805I
−3.08762 + 0.32452I 0
u = 1.09906 − 0.97294I
a = −0.002525 + 0.249222I
b = −0.551521 − 0.279360I
−3.08762 + 0.32452I 0
u = 0.38368 + 1.42170I
a = 0.912242 + 0.497870I
b = 1.116230 − 0.050445I
−8.36038 − 2.00637I 0
u = 0.38368 + 1.42170I
a = −0.693370 − 0.820388I
b = −0.857801 − 0.079626I
−8.36038 − 2.00637I 0
u = 0.38368 − 1.42170I
a = 0.912242 − 0.497870I
b = 1.116230 + 0.050445I
−8.36038 + 2.00637I 0
u = 0.38368 − 1.42170I
a = −0.693370 + 0.820388I
b = −0.857801 + 0.079626I
−8.36038 + 2.00637I 0
u = −0.59706 + 1.37249I
a = −0.832748 + 0.310079I
b = −0.861679 − 0.619616I
−5.82550 − 8.00510I 0
u = −0.59706 + 1.37249I
a = −1.44323 + 0.17768I
b = −1.293270 − 0.515378I
−5.82550 − 8.00510I 0
u = −0.59706 − 1.37249I
a = −0.832748 − 0.310079I
b = −0.861679 + 0.619616I
−5.82550 + 8.00510I 0
u = −0.59706 − 1.37249I
a = −1.44323 − 0.17768I
b = −1.293270 + 0.515378I
−5.82550 + 8.00510I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.353978 + 0.325484I
a = 0.701584 + 0.254629I
b = 0.701673 + 0.801514I
−0.54859 − 2.62342I 0.36792 + 3.01365I
u = 0.353978 + 0.325484I
a = 2.38026 + 0.04568I
b = 0.177971 − 0.193614I
−0.54859 − 2.62342I 0.36792 + 3.01365I
u = 0.353978 − 0.325484I
a = 0.701584 − 0.254629I
b = 0.701673 − 0.801514I
−0.54859 + 2.62342I 0.36792 − 3.01365I
u = 0.353978 − 0.325484I
a = 2.38026 − 0.04568I
b = 0.177971 + 0.193614I
−0.54859 + 2.62342I 0.36792 − 3.01365I
u = −0.15952 + 1.64324I
a = 0.073941 + 0.533471I
b = 0.031397 + 1.065020I
−3.87311 − 0.19130I 0
u = −0.15952 + 1.64324I
a = 1.50690 + 0.07344I
b = 0.866667 + 0.154700I
−3.87311 − 0.19130I 0
u = −0.15952 − 1.64324I
a = 0.073941 − 0.533471I
b = 0.031397 − 1.065020I
−3.87311 + 0.19130I 0
u = −0.15952 − 1.64324I
a = 1.50690 − 0.07344I
b = 0.866667 − 0.154700I
−3.87311 + 0.19130I 0
u = −0.1183770 + 0.0006031I
a = 5.40595 − 5.28157I
b = 0.731777 + 1.112370I
−1.84337 − 2.21647I −5.77974 + 5.00908I
u = −0.1183770 + 0.0006031I
a = −6.68316 − 8.66836I
b = −0.549459 + 0.759716I
−1.84337 − 2.21647I −5.77974 + 5.00908I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.1183770 − 0.0006031I
a = 5.40595 + 5.28157I
b = 0.731777 − 1.112370I
−1.84337 + 2.21647I −5.77974 − 5.00908I
u = −0.1183770 − 0.0006031I
a = −6.68316 + 8.66836I
b = −0.549459 − 0.759716I
−1.84337 + 2.21647I −5.77974 − 5.00908I
29
III.
I
u
3
= h−3.37×10
13
u
32
−2.50×10
14
u
31
+· · ·+1.31×10
13
b−1.99×10
12
, −3.17×
10
13
u
32
−2.68×10
14
u
31
+· · ·+1.31×10
13
a−5.64×10
13
, u
33
+8u
32
+· · ·−2u+1i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
2.41999u
32
+ 20.4253u
31
+ ··· − 2.05301u + 4.30032
2.57165u
32
+ 19.0669u
31
+ ··· + 3.84536u + 0.151653
a
10
=
−3.37539u
32
− 27.6561u
31
+ ··· − 8.76591u + 2.52807
−1.07430u
32
− 8.17310u
31
+ ··· − 5.37520u + 2.30109
a
1
=
−0.151653u
32
+ 1.35842u
31
+ ··· − 5.89836u + 4.14866
2.57165u
32
+ 19.0669u
31
+ ··· + 3.84536u + 0.151653
a
6
=
1.71934u
32
+ 15.0624u
31
+ ··· − 4.74405u + 3.80005
1.30769u
32
+ 9.73560u
31
+ ··· + 8.23872u − 1.71934
a
4
=
−u
u
3
+ u
a
2
=
1.41165u
32
+ 12.9451u
31
+ ··· − 3.01122u + 3.16193
2.14448u
32
+ 15.6413u
31
+ ··· + 4.36101u + 0.218635
a
3
=
−6.27672u
32
− 48.8464u
31
+ ··· − 13.1175u + 0.596637
1.78862u
32
+ 16.3808u
31
+ ··· − 10.8043u + 7.35102
a
7
=
1.55307u
32
+ 11.1871u
31
+ ··· + 11.4413u − 5.83476
−1.79475u
32
− 15.3992u
31
+ ··· − 0.163285u − 3.20852
a
11
=
3.07987u
32
+ 24.9268u
31
+ ··· − 7.22036u + 6.93051
−0.755638u
32
− 5.46565u
31
+ ··· + 6.01706u − 2.43610
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
241066255372434
13110454304539
u
32
−
1631858683939795
13110454304539
u
31
+ ··· −
1761796307433707
13110454304539
u +
645104920453088
13110454304539
30
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
33
− 7u
32
+ ··· + 12u − 4
c
2
, c
6
u
33
+ 3u
31
+ ··· + 3u − 1
c
3
, c
7
u
33
+ 2u
32
+ ··· − u + 1
c
4
u
33
− 8u
32
+ ··· − 2u − 1
c
5
, c
12
u
33
− u
32
+ ··· + 5u + 1
c
8
u
33
+ 8u
32
+ ··· − 2u + 1
c
10
u
33
+ 15u
32
+ ··· − 2u + 1
c
11
u
33
+ 21u
32
+ ··· + 13734u + 1219
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
33
− y
32
+ ··· − 208y −16
c
2
, c
6
y
33
+ 6y
32
+ ··· − 5y −1
c
3
, c
7
y
33
+ 16y
32
+ ··· + y −1
c
4
, c
8
y
33
+ 16y
32
+ ··· + 6y −1
c
5
, c
12
y
33
+ 3y
32
+ ··· + 25y −1
c
10
y
33
− 17y
32
+ ··· + 22y −1
c
11
y
33
− 21y
32
+ ··· − 11983198y −1485961
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.121311 + 1.035350I
a = −1.79267 + 0.60857I
b = −1.200190 − 0.481222I
−3.58069 + 2.74893I −5.86838 − 2.60997I
u = 0.121311 − 1.035350I
a = −1.79267 − 0.60857I
b = −1.200190 + 0.481222I
−3.58069 − 2.74893I −5.86838 + 2.60997I
u = −1.067610 + 0.198481I
a = −0.000038 − 0.238078I
b = 1.074700 − 0.604348I
−2.44265 + 6.08467I −3.26458 − 5.66083I
u = −1.067610 − 0.198481I
a = −0.000038 + 0.238078I
b = 1.074700 + 0.604348I
−2.44265 − 6.08467I −3.26458 + 5.66083I
u = −0.293017 + 0.859240I
a = −2.31043 − 0.96823I
b = −0.31920 − 2.01877I
1.17052 − 1.31692I −14.4007 − 2.7179I
u = −0.293017 − 0.859240I
a = −2.31043 + 0.96823I
b = −0.31920 + 2.01877I
1.17052 + 1.31692I −14.4007 + 2.7179I
u = 0.422871 + 1.034830I
a = −0.945443 + 0.010885I
b = −0.514493 − 0.310188I
−0.00733 + 5.22554I 0.05918 − 6.16589I
u = 0.422871 − 1.034830I
a = −0.945443 − 0.010885I
b = −0.514493 + 0.310188I
−0.00733 − 5.22554I 0.05918 + 6.16589I
u = −0.452925 + 0.744625I
a = 1.56783 + 0.51367I
b = 0.11518 + 1.55194I
2.45474 − 1.86613I 9.60720 + 6.24564I
u = −0.452925 − 0.744625I
a = 1.56783 − 0.51367I
b = 0.11518 − 1.55194I
2.45474 + 1.86613I 9.60720 − 6.24564I
33
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.044199 + 0.868687I
a = 1.75312 − 0.94012I
b = 1.203550 + 0.417402I
−2.82700 − 1.90987I −4.26594 + 3.63494I
u = 0.044199 − 0.868687I
a = 1.75312 + 0.94012I
b = 1.203550 − 0.417402I
−2.82700 + 1.90987I −4.26594 − 3.63494I
u = 1.077130 + 0.454582I
a = 0.333258 + 0.167746I
b = 0.163284 + 0.124186I
2.44401 − 0.32261I 9.10886 − 1.91412I
u = 1.077130 − 0.454582I
a = 0.333258 − 0.167746I
b = 0.163284 − 0.124186I
2.44401 + 0.32261I 9.10886 + 1.91412I
u = −1.18968
a = 0.133521
b = 0.837433
−2.65696 −14.9700
u = −0.252781 + 1.257190I
a = 1.52778 + 0.32112I
b = 0.805301 + 1.106940I
−6.26401 − 11.65410I −7.29150 + 9.37200I
u = −0.252781 − 1.257190I
a = 1.52778 − 0.32112I
b = 0.805301 − 1.106940I
−6.26401 + 11.65410I −7.29150 − 9.37200I
u = 0.051741 + 0.704817I
a = 1.94505 + 1.26748I
b = 0.111511 + 1.291090I
−3.52569 + 10.82130I −6.52075 − 7.98343I
u = 0.051741 − 0.704817I
a = 1.94505 − 1.26748I
b = 0.111511 − 1.291090I
−3.52569 − 10.82130I −6.52075 + 7.98343I
u = −1.345720 + 0.410910I
a = −0.191138 + 0.048775I
b = −0.489792 − 0.165109I
0.44562 − 7.68714I −15.1738 + 15.3000I
34
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.345720 − 0.410910I
a = −0.191138 − 0.048775I
b = −0.489792 + 0.165109I
0.44562 + 7.68714I −15.1738 − 15.3000I
u = 0.016128 + 0.588840I
a = 2.07196 + 0.07437I
b = 0.513741 + 0.904157I
2.60247 − 2.51371I 3.02355 + 5.03986I
u = 0.016128 − 0.588840I
a = 2.07196 − 0.07437I
b = 0.513741 − 0.904157I
2.60247 + 2.51371I 3.02355 − 5.03986I
u = −0.43817 + 1.34776I
a = −1.324760 + 0.312143I
b = −1.172990 − 0.607527I
−7.38459 − 5.54422I −12.27244 + 0.I
u = −0.43817 − 1.34776I
a = −1.324760 − 0.312143I
b = −1.172990 + 0.607527I
−7.38459 + 5.54422I −12.27244 + 0.I
u = −0.59476 + 1.30972I
a = −1.55385 + 0.30875I
b = −1.43398 − 0.84056I
−5.94875 − 12.07960I 0
u = −0.59476 − 1.30972I
a = −1.55385 − 0.30875I
b = −1.43398 + 0.84056I
−5.94875 + 12.07960I 0
u = −0.37009 + 1.39319I
a = −0.859056 + 0.617766I
b = −0.995740 − 0.060644I
−7.66332 + 1.14028I 0
u = −0.37009 − 1.39319I
a = −0.859056 − 0.617766I
b = −0.995740 + 0.060644I
−7.66332 − 1.14028I 0
u = −0.58422 + 1.39916I
a = 0.805154 − 0.216770I
b = 0.790382 + 0.354295I
−3.35263 + 0.63275I 0
35
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.58422 − 1.39916I
a = 0.805154 + 0.216770I
b = 0.790382 − 0.354295I
−3.35263 − 0.63275I 0
u = 0.260752 + 0.066297I
a = 1.40647 − 3.27086I
b = 0.430015 − 0.625140I
−0.98077 + 3.44056I −4.9621 − 13.3967I
u = 0.260752 − 0.066297I
a = 1.40647 + 3.27086I
b = 0.430015 + 0.625140I
−0.98077 − 3.44056I −4.9621 + 13.3967I
36
IV. I
u
4
= h2u
5
a − 4u
5
+ · · · − a + 3, −2u
5
a − 2u
5
+ · · · + a − 2, 2u
6
− 5u
5
+
9u
4
− 9u
3
+ 7u
2
− 4u + 1i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
a
−2u
5
a + 4u
5
+ ··· + a − 3
a
10
=
−2u
5
a + 5u
4
a − 9u
3
a + 2u
4
+ 8u
2
a − u
3
− 6au + u
2
+ 2a + 4u − 1
−6u
5
a + 8u
5
+ ··· + 4a − 7
a
1
=
2u
5
a − 3u
4
a − 4u
5
+ 6u
3
a + 6u
4
− 3u
2
a − 12u
3
+ 4au + 8u
2
− 9u + 3
−2u
5
a + 4u
5
+ ··· + a − 3
a
6
=
−4u
5
a + 6u
4
a + 2u
5
− 12u
3
a − u
4
+ 8u
2
a + u
3
− 9au + 4u
2
+ 3a
2u
5
− 3u
4
+ 4u
3
− 2u
2
+ 2u − 1
a
4
=
−u
u
3
+ u
a
2
=
−4u
5
+ u
3
a + 6u
4
− 11u
3
+ au + 7u
2
+ a − 7u + 2
u
5
a + 3u
5
+ ··· − a − 2
a
3
=
−2u
5
a + 6u
5
+ ··· + a − 2
2u
5
a − 5u
4
a + 8u
3
a − 7u
2
a − u
3
+ 5au + 3u
2
− 2a − 3u + 2
a
7
=
−10u
5
a + 14u
5
+ ··· + 8a − 9
2u
5
a − 6u
5
+ ··· − a + 6
a
11
=
10u
5
a − 10u
5
+ ··· − 8a + 8
−6u
5
a + 14u
5
+ ··· + 4a − 11
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
65
4
u
5
+
205
4
u
4
−
349
4
u
3
+
337
4
u
2
−
101
2
u +
47
4
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
4(4u
12
+ 3u
11
+ ··· − 15u + 8)
c
2
, c
6
2(2u
12
+ 3u
11
+ ··· − 5u + 1)
c
3
, c
7
4(4u
12
+ 9u
11
+ ··· + 39u + 22)
c
4
4(2u
6
+ 5u
5
+ 9u
4
+ 9u
3
+ 7u
2
+ 4u + 1)
2
c
5
, c
12
u
12
+ 3u
11
+ ··· + 11u + 2
c
8
4(2u
6
− 5u
5
+ 9u
4
− 9u
3
+ 7u
2
− 4u + 1)
2
c
10
4(2u
6
− 9u
5
+ 19u
4
− 23u
3
+ 18u
2
− 7u + 1)
2
c
11
(u
6
− u
5
+ u
4
− 2u
3
+ u
2
− u + 2)
2
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
16(16y
12
− 57y
11
+ ··· − 673y + 64)
c
2
, c
6
4(4y
12
+ 7y
11
+ ··· − 15y + 1)
c
3
, c
7
16(16y
12
+ 207y
11
+ ··· + 2791y + 484)
c
4
, c
8
16(4y
6
+ 11y
5
+ 19y
4
+ 9y
3
− 5y
2
− 2y + 1)
2
c
5
, c
12
y
12
+ 7y
11
+ ··· + 11y + 4
c
10
16(4y
6
− 5y
5
+ 19y
4
+ 33y
3
+ 40y
2
− 13y + 1)
2
c
11
(y
6
+ y
5
− y
4
+ y
2
+ 3y + 4)
2
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.006436 + 0.874144I
a = 0.48205 + 2.03343I
b = 0.86375 + 2.52513I
−2.94260 − 1.97215I −23.3665 + 5.7693I
u = −0.006436 + 0.874144I
a = 3.31353 − 1.33982I
b = 0.432272 − 0.330500I
−2.94260 − 1.97215I −23.3665 + 5.7693I
u = −0.006436 − 0.874144I
a = 0.48205 − 2.03343I
b = 0.86375 − 2.52513I
−2.94260 + 1.97215I −23.3665 − 5.7693I
u = −0.006436 − 0.874144I
a = 3.31353 + 1.33982I
b = 0.432272 + 0.330500I
−2.94260 + 1.97215I −23.3665 − 5.7693I
u = 0.672863 + 1.178830I
a = 0.677335 + 0.591356I
b = 0.978852 − 0.490041I
−4.71392 + 8.53123I −6.00968 − 11.09535I
u = 0.672863 + 1.178830I
a = −1.43372 − 0.43308I
b = −1.47766 + 0.37220I
−4.71392 + 8.53123I −6.00968 − 11.09535I
u = 0.672863 − 1.178830I
a = 0.677335 − 0.591356I
b = 0.978852 + 0.490041I
−4.71392 − 8.53123I −6.00968 + 11.09535I
u = 0.672863 − 1.178830I
a = −1.43372 + 0.43308I
b = −1.47766 − 0.37220I
−4.71392 − 8.53123I −6.00968 + 11.09535I
u = 0.583572 + 0.120772I
a = 0.610974 − 0.102954I
b = 0.553250 + 0.856277I
−0.56815 − 2.00437I −1.58088 − 1.16654I
u = 0.583572 + 0.120772I
a = 1.34983 + 0.66609I
b = 0.149535 − 0.552809I
−0.56815 − 2.00437I −1.58088 − 1.16654I
40
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.583572 − 0.120772I
a = 0.610974 + 0.102954I
b = 0.553250 − 0.856277I
−0.56815 + 2.00437I −1.58088 + 1.16654I
u = 0.583572 − 0.120772I
a = 1.34983 − 0.66609I
b = 0.149535 + 0.552809I
−0.56815 + 2.00437I −1.58088 + 1.16654I
41
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
9
4(4u
12
+ 3u
11
+ ··· − 15u + 8)(u
33
− 7u
32
+ ··· + 12u − 4)
· (u
52
+ u
51
+ ··· − 52u
3
+ 4)
c
2
, c
6
2(2u
12
+ 3u
11
+ ··· − 5u + 1)(u
33
+ 3u
31
+ ··· + 3u − 1)
· (u
52
− 3u
50
+ ··· − 3u + 1)
c
3
, c
7
4(4u
12
+ 9u
11
+ ··· + 39u + 22)(u
33
+ 2u
32
+ ··· − u + 1)
· (u
52
+ 2u
51
+ ··· + 23u + 71)
c
4
4(2u
6
+ 5u
5
+ ··· + 4u + 1)
2
(u
33
− 8u
32
+ ··· − 2u − 1)
· (u
52
− 19u
51
+ ··· − 4304u + 352)
c
5
, c
12
(u
12
+ 3u
11
+ ··· + 11u + 2)(u
33
− u
32
+ ··· + 5u + 1)
· (u
52
+ u
51
+ ··· + u + 1)
c
8
4(2u
6
− 5u
5
+ ··· − 4u + 1)
2
(u
33
+ 8u
32
+ ··· − 2u + 1)
· (u
52
− 19u
51
+ ··· − 4304u + 352)
c
10
4(2u
6
− 9u
5
+ 19u
4
− 23u
3
+ 18u
2
− 7u + 1)
2
· (u
33
+ 15u
32
+ ··· − 2u + 1)(u
52
+ 48u
51
+ ··· + 557056u + 16384)
c
11
(u
6
− u
5
+ u
4
− 2u
3
+ u
2
− u + 2)
2
· (u
33
+ 21u
32
+ ··· + 13734u + 1219)
· (u
52
+ 42u
51
+ ··· + 4266320u + 202144)
42
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
9
16(16y
12
− 57y
11
+ ··· − 673y + 64)(y
33
− y
32
+ ··· − 208y − 16)
· (y
52
− 9y
51
+ ··· − 512y
2
+ 16)
c
2
, c
6
4(4y
12
+ 7y
11
+ ··· − 15y + 1)(y
33
+ 6y
32
+ ··· − 5y − 1)
· (y
52
− 6y
51
+ ··· − 11y + 1)
c
3
, c
7
16(16y
12
+ 207y
11
+ ··· + 2791y + 484)(y
33
+ 16y
32
+ ··· + y − 1)
· (y
52
+ 24y
51
+ ··· + 176687y + 5041)
c
4
, c
8
16(4y
6
+ 11y
5
+ 19y
4
+ 9y
3
− 5y
2
− 2y + 1)
2
· (y
33
+ 16y
32
+ ··· + 6y − 1)(y
52
+ 25y
51
+ ··· − 361216y + 123904)
c
5
, c
12
(y
12
+ 7y
11
+ ··· + 11y + 4)(y
33
+ 3y
32
+ ··· + 25y − 1)
· (y
52
− 37y
51
+ ··· − 89y + 1)
c
10
16(4y
6
− 5y
5
+ 19y
4
+ 33y
3
+ 40y
2
− 13y + 1)
2
· (y
33
− 17y
32
+ ··· + 22y − 1)
· (y
52
− 18y
51
+ ··· − 20535312384y + 268435456)
c
11
(y
6
+ y
5
− y
4
+ y
2
+ 3y + 4)
2
· (y
33
− 21y
32
+ ··· − 11983198y − 1485961)
· (y
52
+ 30y
50
+ ··· + 152596979968y + 40862196736)
43
