12a
1072
(K12a
1072
)
A knot diagram
1
Linearized knot diagam
4 7 10 9 11 12 3 1 2 8 6 5
Solving Sequence
5,11
6 12 7
1,9
4 2 8 10 3
c
5
c
11
c
6
c
12
c
4
c
1
c
8
c
10
c
3
c
2
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h6.92052 × 10
288
u
153
+ 3.23848 × 10
289
u
152
+ ··· + 2.10567 × 10
289
b + 9.66356 × 10
290
,
8.62661 × 10
290
u
153
+ 5.83689 × 10
290
u
152
+ ··· + 1.03178 × 10
291
a + 6.04649 × 10
292
,
u
154
+ u
153
+ ··· + 572u + 49i
I
u
2
= h131u
33
+ 320u
32
+ ··· + 29b + 254, 39u
33
− 154u
32
+ ··· + 29a + 266, u
34
− 17u
32
+ ··· + 8u − 1i
* 2 irreducible components of dim
C
= 0, with total 188 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
= h6.92 × 10
288
u
153
+ 3.24 × 10
289
u
152
+ · · · + 2.11 × 10
289
b + 9.66 ×
10
290
, 8.63 × 10
290
u
153
+ 5.84 × 10
290
u
152
+ · · · + 1.03 × 10
291
a + 6.05 ×
10
292
, u
154
+ u
153
+ · · · + 572u + 49i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
6
=
1
−u
2
a
12
=
u
−u
3
+ u
a
7
=
−u
2
+ 1
u
4
− 2u
2
a
1
=
−u
3
+ 2u
−u
3
+ u
a
9
=
−0.836091u
153
− 0.565712u
152
+ ··· − 584.309u − 58.6026
−0.328661u
153
− 1.53798u
152
+ ··· − 489.932u − 45.8930
a
4
=
0.112124u
153
+ 0.849429u
152
+ ··· + 114.420u + 6.91067
3.28754u
153
+ 0.173793u
152
+ ··· + 1256.42u + 117.530
a
2
=
−3.21081u
153
+ 1.99563u
152
+ ··· − 1542.74u − 138.134
−1.77663u
153
+ 2.17174u
152
+ ··· − 523.262u − 44.5739
a
8
=
3.89771u
153
− 1.55113u
152
+ ··· + 1539.52u + 140.027
4.11046u
153
− 3.67254u
152
+ ··· + 823.579u + 74.3562
a
10
=
−1.88491u
153
+ 0.809201u
152
+ ··· − 968.956u − 100.031
−4.29184u
153
+ 1.77326u
152
+ ··· − 1544.83u − 143.097
a
3
=
−4.27600u
153
+ 1.26668u
152
+ ··· − 2150.52u − 195.941
−7.94334u
153
+ 3.53383u
152
+ ··· − 2913.25u − 262.894
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4.33212u
153
− 0.684610u
152
+ ··· − 1911.81u − 170.082
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
154
− 14u
153
+ ··· + 40u − 1
c
2
, c
7
u
154
+ u
153
+ ··· + 1715u − 2401
c
3
u
154
+ u
153
+ ··· − 148813u + 30543
c
4
u
154
+ 3u
153
+ ··· + 6894u + 41
c
5
, c
6
, c
11
u
154
+ u
153
+ ··· + 572u + 49
c
8
u
154
+ 7u
152
+ ··· + 1316u + 187
c
9
u
154
− 3u
153
+ ··· + 1930u − 83
c
10
u
154
− 7u
153
+ ··· + 13536812u − 792892
c
12
u
154
− 6u
153
+ ··· − 118592654u − 10006731
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
154
+ 4y
153
+ ··· − 96y + 1
c
2
, c
7
y
154
− 87y
153
+ ··· + 38235925y + 5764801
c
3
y
154
+ 33y
153
+ ··· + 26474687753y + 932874849
c
4
y
154
+ 19y
153
+ ··· − 54147834y + 1681
c
5
, c
6
, c
11
y
154
− 137y
153
+ ··· + 38356y + 2401
c
8
y
154
+ 14y
153
+ ··· − 2877044y + 34969
c
9
y
154
+ y
153
+ ··· − 2295640y + 6889
c
10
y
154
− 27y
153
+ ··· − 308019410590464y + 628677723664
c
12
y
154
+ 28y
153
+ ··· + 1260521920984700y + 100134665306361
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.927461 + 0.345607I
a = 0.571854 + 0.712390I
b = 0.698035 + 1.094410I
−0.40591 + 5.13144I 0
u = −0.927461 − 0.345607I
a = 0.571854 − 0.712390I
b = 0.698035 − 1.094410I
−0.40591 − 5.13144I 0
u = −1.010770 + 0.201290I
a = −0.460389 + 0.536054I
b = −0.168033 + 0.927326I
−1.90062 − 2.37239I 0
u = −1.010770 − 0.201290I
a = −0.460389 − 0.536054I
b = −0.168033 − 0.927326I
−1.90062 + 2.37239I 0
u = −0.746757 + 0.613077I
a = −1.227500 − 0.317196I
b = −0.816114 − 0.778786I
−0.94391 + 1.96290I 0
u = −0.746757 − 0.613077I
a = −1.227500 + 0.317196I
b = −0.816114 + 0.778786I
−0.94391 − 1.96290I 0
u = 0.862818 + 0.591068I
a = −0.045042 + 0.471122I
b = 0.042710 + 0.628655I
0.85502 − 2.26604I 0
u = 0.862818 − 0.591068I
a = −0.045042 − 0.471122I
b = 0.042710 − 0.628655I
0.85502 + 2.26604I 0
u = 0.483374 + 0.948619I
a = 0.803786 − 0.037733I
b = 0.595537 − 0.219838I
1.84173 − 2.95635I 0
u = 0.483374 − 0.948619I
a = 0.803786 + 0.037733I
b = 0.595537 + 0.219838I
1.84173 + 2.95635I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.952917 + 0.508089I
a = −0.976169 + 0.598595I
b = −0.91006 + 1.10434I
2.83236 − 10.67170I 0
u = 0.952917 − 0.508089I
a = −0.976169 − 0.598595I
b = −0.91006 − 1.10434I
2.83236 + 10.67170I 0
u = 0.886976 + 0.633968I
a = −0.344079 − 0.873989I
b = −0.733983 − 0.617344I
3.27656 + 8.53519I 0
u = 0.886976 − 0.633968I
a = −0.344079 + 0.873989I
b = −0.733983 + 0.617344I
3.27656 − 8.53519I 0
u = 0.281881 + 0.853471I
a = −0.391485 + 1.110960I
b = 0.251039 + 0.757686I
−0.97354 + 7.22662I 0
u = 0.281881 − 0.853471I
a = −0.391485 − 1.110960I
b = 0.251039 − 0.757686I
−0.97354 − 7.22662I 0
u = −0.086276 + 0.884667I
a = 0.143622 − 1.066430I
b = 0.121995 − 0.314126I
0.672030 − 0.579524I 0
u = −0.086276 − 0.884667I
a = 0.143622 + 1.066430I
b = 0.121995 + 0.314126I
0.672030 + 0.579524I 0
u = −1.105370 + 0.141236I
a = 0.587760 + 0.026600I
b = −0.810615 − 0.580088I
5.03507 + 2.42489I 0
u = −1.105370 − 0.141236I
a = 0.587760 − 0.026600I
b = −0.810615 + 0.580088I
5.03507 − 2.42489I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.242209 + 0.848590I
a = 0.36042 + 2.39047I
b = 0.98628 + 1.24227I
0.6384 + 15.4605I 0
u = 0.242209 − 0.848590I
a = 0.36042 − 2.39047I
b = 0.98628 − 1.24227I
0.6384 − 15.4605I 0
u = 1.053650 + 0.402796I
a = 0.915371 − 0.635809I
b = 0.656843 − 1.086280I
−0.562944 + 0.950486I 0
u = 1.053650 − 0.402796I
a = 0.915371 + 0.635809I
b = 0.656843 + 1.086280I
−0.562944 − 0.950486I 0
u = −0.306711 + 0.801519I
a = 0.51366 − 2.25002I
b = 0.97157 − 1.22070I
−2.36458 − 6.65719I 0
u = −0.306711 − 0.801519I
a = 0.51366 + 2.25002I
b = 0.97157 + 1.22070I
−2.36458 + 6.65719I 0
u = 0.159307 + 0.813312I
a = −0.39611 − 2.39837I
b = −0.81842 − 1.20208I
−3.30262 + 3.43339I 0
u = 0.159307 − 0.813312I
a = −0.39611 + 2.39837I
b = −0.81842 + 1.20208I
−3.30262 − 3.43339I 0
u = −0.781148 + 0.273232I
a = −0.190786 − 0.963389I
b = 0.569949 − 0.950312I
−0.17129 − 4.74542I 0
u = −0.781148 − 0.273232I
a = −0.190786 + 0.963389I
b = 0.569949 + 0.950312I
−0.17129 + 4.74542I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.216403 + 0.783124I
a = 0.02588 + 2.40282I
b = −0.82581 + 1.18258I
−2.63970 − 9.31367I 0
u = −0.216403 − 0.783124I
a = 0.02588 − 2.40282I
b = −0.82581 − 1.18258I
−2.63970 + 9.31367I 0
u = 0.575349 + 0.509126I
a = −0.572498 − 0.147197I
b = −0.616975 + 0.698394I
4.36358 − 0.75106I 0
u = 0.575349 − 0.509126I
a = −0.572498 + 0.147197I
b = −0.616975 − 0.698394I
4.36358 + 0.75106I 0
u = −1.217750 + 0.213144I
a = 2.32793 + 0.72652I
b = −0.015503 + 0.221781I
3.36102 + 3.27740I 0
u = −1.217750 − 0.213144I
a = 2.32793 − 0.72652I
b = −0.015503 − 0.221781I
3.36102 − 3.27740I 0
u = 1.210250 + 0.283808I
a = 0.350533 − 1.155720I
b = 0.318071 − 0.806501I
0.88203 + 1.22872I 0
u = 1.210250 − 0.283808I
a = 0.350533 + 1.155720I
b = 0.318071 + 0.806501I
0.88203 − 1.22872I 0
u = 0.056127 + 0.753685I
a = −1.00444 − 2.45512I
b = −1.20792 − 1.19422I
−2.03527 + 5.47232I 0
u = 0.056127 − 0.753685I
a = −1.00444 + 2.45512I
b = −1.20792 + 1.19422I
−2.03527 − 5.47232I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.242890 + 0.102023I
a = 0.67636 + 1.67439I
b = −1.59234 − 0.28562I
5.07445 + 4.64277I 0
u = −1.242890 − 0.102023I
a = 0.67636 − 1.67439I
b = −1.59234 + 0.28562I
5.07445 − 4.64277I 0
u = 0.054789 + 0.750359I
a = 0.14867 − 2.39554I
b = −0.373742 − 0.841489I
−2.62480 + 2.53088I 0
u = 0.054789 − 0.750359I
a = 0.14867 + 2.39554I
b = −0.373742 + 0.841489I
−2.62480 − 2.53088I 0
u = −0.177957 + 0.727362I
a = 0.103154 − 1.089410I
b = 0.958760 − 0.406201I
2.52652 − 5.87194I 0
u = −0.177957 − 0.727362I
a = 0.103154 + 1.089410I
b = 0.958760 + 0.406201I
2.52652 + 5.87194I 0
u = 1.213530 + 0.312350I
a = 0.883124 − 0.289434I
b = 1.03006 − 1.24793I
1.50891 − 1.60866I 0
u = 1.213530 − 0.312350I
a = 0.883124 + 0.289434I
b = 1.03006 + 1.24793I
1.50891 + 1.60866I 0
u = 0.031817 + 0.739153I
a = −0.57728 − 1.88386I
b = −0.408354 − 0.903776I
−2.37049 + 2.06375I 0
u = 0.031817 − 0.739153I
a = −0.57728 + 1.88386I
b = −0.408354 + 0.903776I
−2.37049 − 2.06375I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.237453 + 0.693513I
a = 0.926481 + 0.745244I
b = −0.125006 + 0.724198I
−4.13652 − 1.08958I 0
u = −0.237453 − 0.693513I
a = 0.926481 − 0.745244I
b = −0.125006 − 0.724198I
−4.13652 + 1.08958I 0
u = 1.248600 + 0.230177I
a = 1.025290 − 0.821994I
b = 0.010193 − 0.562579I
1.37017 + 1.35061I 0
u = 1.248600 − 0.230177I
a = 1.025290 + 0.821994I
b = 0.010193 + 0.562579I
1.37017 − 1.35061I 0
u = 0.324193 + 0.639588I
a = −0.37292 + 1.45768I
b = 0.794397 + 0.830062I
3.58264 + 4.62489I 6.00000 − 6.36906I
u = 0.324193 − 0.639588I
a = −0.37292 − 1.45768I
b = 0.794397 − 0.830062I
3.58264 − 4.62489I 6.00000 + 6.36906I
u = −1.274150 + 0.177617I
a = 1.96098 + 1.20727I
b = −0.279677 + 1.311780I
6.16522 + 0.02142I 0
u = −1.274150 − 0.177617I
a = 1.96098 − 1.20727I
b = −0.279677 − 1.311780I
6.16522 − 0.02142I 0
u = 1.249260 + 0.336649I
a = 0.725825 − 0.411585I
b = 0.188665 − 0.964491I
1.45473 + 1.81129I 0
u = 1.249260 − 0.336649I
a = 0.725825 + 0.411585I
b = 0.188665 + 0.964491I
1.45473 − 1.81129I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.243020 + 0.374967I
a = −0.400807 − 0.861821I
b = 0.103461 − 0.117002I
4.27005 − 3.94623I 0
u = −1.243020 − 0.374967I
a = −0.400807 + 0.861821I
b = 0.103461 + 0.117002I
4.27005 + 3.94623I 0
u = −1.287510 + 0.210580I
a = −0.834555 − 0.544861I
b = −0.79176 − 1.58697I
1.82927 + 0.15971I 0
u = −1.287510 − 0.210580I
a = −0.834555 + 0.544861I
b = −0.79176 + 1.58697I
1.82927 − 0.15971I 0
u = −1.285830 + 0.237322I
a = −0.465739 − 1.095680I
b = 0.221383 − 1.293260I
1.55653 − 5.23786I 0
u = −1.285830 − 0.237322I
a = −0.465739 + 1.095680I
b = 0.221383 + 1.293260I
1.55653 + 5.23786I 0
u = −1.289640 + 0.219047I
a = −0.67999 + 1.61686I
b = 0.194630 + 0.834773I
0.19938 − 2.59730I 0
u = −1.289640 − 0.219047I
a = −0.67999 − 1.61686I
b = 0.194630 − 0.834773I
0.19938 + 2.59730I 0
u = 1.299870 + 0.164751I
a = 0.080900 + 1.078540I
b = 1.273270 − 0.449311I
3.08949 − 0.12155I 0
u = 1.299870 − 0.164751I
a = 0.080900 − 1.078540I
b = 1.273270 + 0.449311I
3.08949 + 0.12155I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.245587 + 0.638390I
a = 2.53209 + 0.47153I
b = 1.67963 + 0.57965I
2.56524 − 6.84359I 11.6477 + 10.2192I
u = −0.245587 − 0.638390I
a = 2.53209 − 0.47153I
b = 1.67963 − 0.57965I
2.56524 + 6.84359I 11.6477 − 10.2192I
u = −0.005331 + 0.682509I
a = −0.79552 − 1.94814I
b = −0.237939 − 0.962473I
−2.38240 + 2.00040I 1.37127 − 4.02567I
u = −0.005331 − 0.682509I
a = −0.79552 + 1.94814I
b = −0.237939 + 0.962473I
−2.38240 − 2.00040I 1.37127 + 4.02567I
u = 1.317320 + 0.122192I
a = 0.429833 + 1.196260I
b = −0.580798 + 0.938573I
6.45327 − 3.68927I 0
u = 1.317320 − 0.122192I
a = 0.429833 − 1.196260I
b = −0.580798 − 0.938573I
6.45327 + 3.68927I 0
u = −1.289650 + 0.315303I
a = −1.29054 − 1.58533I
b = 0.357774 − 0.815738I
1.56297 − 6.38698I 0
u = −1.289650 − 0.315303I
a = −1.29054 + 1.58533I
b = 0.357774 + 0.815738I
1.56297 + 6.38698I 0
u = 1.305890 + 0.241641I
a = −1.84496 + 0.35076I
b = 0.342334 + 0.469472I
0.49222 + 3.43137I 0
u = 1.305890 − 0.241641I
a = −1.84496 − 0.35076I
b = 0.342334 − 0.469472I
0.49222 − 3.43137I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.099577 + 0.663417I
a = −1.49114 + 2.44767I
b = −0.076571 + 0.539335I
0.01977 − 6.43626I 0.46155 + 8.86012I
u = −0.099577 − 0.663417I
a = −1.49114 − 2.44767I
b = −0.076571 − 0.539335I
0.01977 + 6.43626I 0.46155 − 8.86012I
u = −1.292970 + 0.313632I
a = −0.69694 − 1.32877I
b = 0.593827 − 0.942249I
1.77843 − 5.87906I 0
u = −1.292970 − 0.313632I
a = −0.69694 + 1.32877I
b = 0.593827 + 0.942249I
1.77843 + 5.87906I 0
u = 1.317840 + 0.233872I
a = 1.57057 − 1.33587I
b = −1.22768 − 1.33972I
2.24031 + 6.00533I 0
u = 1.317840 − 0.233872I
a = 1.57057 + 1.33587I
b = −1.22768 + 1.33972I
2.24031 − 6.00533I 0
u = −1.304820 + 0.312787I
a = −1.17852 − 1.82056I
b = 1.37219 − 1.16236I
2.22017 − 9.31903I 0
u = −1.304820 − 0.312787I
a = −1.17852 + 1.82056I
b = 1.37219 + 1.16236I
2.22017 + 9.31903I 0
u = 1.332450 + 0.268889I
a = 0.30937 + 1.70442I
b = 0.053201 + 0.745514I
4.53872 + 9.82699I 0
u = 1.332450 − 0.268889I
a = 0.30937 − 1.70442I
b = 0.053201 − 0.745514I
4.53872 − 9.82699I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.341150 + 0.233736I
a = −1.42873 + 1.52710I
b = 0.31254 + 1.66322I
7.11773 + 5.58500I 0
u = 1.341150 − 0.233736I
a = −1.42873 − 1.52710I
b = 0.31254 − 1.66322I
7.11773 − 5.58500I 0
u = 1.353860 + 0.170918I
a = −0.054631 − 0.243033I
b = −0.88173 + 1.29481I
7.90755 + 1.15105I 0
u = 1.353860 − 0.170918I
a = −0.054631 + 0.243033I
b = −0.88173 − 1.29481I
7.90755 − 1.15105I 0
u = −0.475213 + 0.420175I
a = −0.52602 + 2.78054I
b = −1.06289 + 1.00975I
3.53086 + 3.56258I 13.12101 − 4.27600I
u = −0.475213 − 0.420175I
a = −0.52602 − 2.78054I
b = −1.06289 − 1.00975I
3.53086 − 3.56258I 13.12101 + 4.27600I
u = −1.365860 + 0.046277I
a = 1.156000 + 0.139591I
b = −0.952301 + 0.679905I
6.84876 − 0.97616I 0
u = −1.365860 − 0.046277I
a = 1.156000 − 0.139591I
b = −0.952301 − 0.679905I
6.84876 + 0.97616I 0
u = −1.342850 + 0.254146I
a = 0.174806 − 0.890178I
b = 1.286480 + 0.503519I
4.39240 − 5.62462I 0
u = −1.342850 − 0.254146I
a = 0.174806 + 0.890178I
b = 1.286480 − 0.503519I
4.39240 + 5.62462I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.622806 + 0.103056I
a = 0.733473 + 0.897374I
b = −0.646437 − 0.368074I
4.79448 + 2.53540I 16.1502 − 3.0298I
u = −0.622806 − 0.103056I
a = 0.733473 − 0.897374I
b = −0.646437 + 0.368074I
4.79448 − 2.53540I 16.1502 + 3.0298I
u = 0.151780 + 0.612265I
a = −1.58908 − 0.04517I
b = −1.125520 + 0.275882I
−0.31183 + 2.42662I 5.75230 − 5.56981I
u = 0.151780 − 0.612265I
a = −1.58908 + 0.04517I
b = −1.125520 − 0.275882I
−0.31183 − 2.42662I 5.75230 + 5.56981I
u = −0.033879 + 0.605996I
a = 1.91919 + 1.73905I
b = −0.218275 + 0.647464I
−3.73384 − 0.33721I 0.23306 − 4.01469I
u = −0.033879 − 0.605996I
a = 1.91919 − 1.73905I
b = −0.218275 − 0.647464I
−3.73384 + 0.33721I 0.23306 + 4.01469I
u = 1.366600 + 0.303640I
a = 1.018920 − 0.969860I
b = −1.036340 − 0.352772I
7.41102 + 9.62053I 0
u = 1.366600 − 0.303640I
a = 1.018920 + 0.969860I
b = −1.036340 + 0.352772I
7.41102 − 9.62053I 0
u = −1.361190 + 0.343416I
a = −1.06206 − 1.59674I
b = 0.93794 − 1.23067I
1.49056 − 7.59816I 0
u = −1.361190 − 0.343416I
a = −1.06206 + 1.59674I
b = 0.93794 + 1.23067I
1.49056 + 7.59816I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.042209 + 0.589562I
a = 0.50413 − 3.11062I
b = 0.97646 − 1.39737I
−2.06991 − 3.00529I 3.45797 + 1.71764I
u = −0.042209 − 0.589562I
a = 0.50413 + 3.11062I
b = 0.97646 + 1.39737I
−2.06991 + 3.00529I 3.45797 − 1.71764I
u = 1.411370 + 0.033932I
a = −1.018740 + 0.696446I
b = 0.801939 − 0.040281I
11.03370 − 2.02041I 0
u = 1.411370 − 0.033932I
a = −1.018740 − 0.696446I
b = 0.801939 + 0.040281I
11.03370 + 2.02041I 0
u = 1.39111 + 0.26505I
a = −0.693051 − 0.936409I
b = −1.98761 + 0.74541I
7.76421 + 10.17900I 0
u = 1.39111 − 0.26505I
a = −0.693051 + 0.936409I
b = −1.98761 − 0.74541I
7.76421 − 10.17900I 0
u = −0.097422 + 0.572014I
a = 0.04795 + 4.13629I
b = −0.13301 + 1.43433I
2.53562 − 2.61678I 7.65323 + 3.37494I
u = −0.097422 − 0.572014I
a = 0.04795 − 4.13629I
b = −0.13301 − 1.43433I
2.53562 + 2.61678I 7.65323 − 3.37494I
u = 1.37127 + 0.38317I
a = 0.411591 − 0.951983I
b = −0.288907 − 0.451225I
5.31823 + 5.16393I 0
u = 1.37127 − 0.38317I
a = 0.411591 + 0.951983I
b = −0.288907 + 0.451225I
5.31823 − 5.16393I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.39109 + 0.32342I
a = −1.27596 + 1.43874I
b = 0.91908 + 1.20609I
2.45921 + 13.31740I 0
u = 1.39109 − 0.32342I
a = −1.27596 − 1.43874I
b = 0.91908 − 1.20609I
2.45921 − 13.31740I 0
u = −1.40726 + 0.25675I
a = 1.21867 + 0.82570I
b = −0.927106 + 0.823962I
9.05767 − 7.90642I 0
u = −1.40726 − 0.25675I
a = 1.21867 − 0.82570I
b = −0.927106 − 0.823962I
9.05767 + 7.90642I 0
u = 1.41636 + 0.28687I
a = −0.813693 + 0.144583I
b = 0.314338 + 0.586404I
1.18201 + 4.67102I 0
u = 1.41636 − 0.28687I
a = −0.813693 − 0.144583I
b = 0.314338 − 0.586404I
1.18201 − 4.67102I 0
u = 1.44559 + 0.01179I
a = 0.613436 − 0.246027I
b = −0.840708 + 0.799253I
6.80868 − 4.89337I 0
u = 1.44559 − 0.01179I
a = 0.613436 + 0.246027I
b = −0.840708 − 0.799253I
6.80868 + 4.89337I 0
u = 1.44646 + 0.13225I
a = −0.687178 + 1.052560I
b = 1.38508 + 1.66807I
9.69626 − 1.57200I 0
u = 1.44646 − 0.13225I
a = −0.687178 − 1.052560I
b = 1.38508 − 1.66807I
9.69626 + 1.57200I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41225 + 0.35137I
a = 1.04127 + 1.59289I
b = −1.07034 + 1.30531I
5.8916 − 19.7868I 0
u = −1.41225 − 0.35137I
a = 1.04127 − 1.59289I
b = −1.07034 − 1.30531I
5.8916 + 19.7868I 0
u = 1.43168 + 0.32493I
a = 0.81916 − 1.50021I
b = −1.14887 − 1.40173I
3.16978 + 10.74400I 0
u = 1.43168 − 0.32493I
a = 0.81916 + 1.50021I
b = −1.14887 + 1.40173I
3.16978 − 10.74400I 0
u = −1.42760 + 0.34999I
a = 0.800137 + 0.665205I
b = −0.436085 + 0.765528I
4.45777 − 11.57030I 0
u = −1.42760 − 0.34999I
a = 0.800137 − 0.665205I
b = −0.436085 − 0.765528I
4.45777 + 11.57030I 0
u = −1.47194
a = 0.152404
b = −1.95358
7.22309 0
u = 0.477522 + 0.201537I
a = −0.335158 + 1.151520I
b = 0.733536 + 0.515260I
1.221320 + 0.185595I 10.16950 − 2.00322I
u = 0.477522 − 0.201537I
a = −0.335158 − 1.151520I
b = 0.733536 − 0.515260I
1.221320 − 0.185595I 10.16950 + 2.00322I
u = −1.48224 + 0.10932I
a = −0.268936 − 0.479318I
b = 0.682969 + 0.376562I
11.12170 − 1.32657I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.48224 − 0.10932I
a = −0.268936 + 0.479318I
b = 0.682969 − 0.376562I
11.12170 + 1.32657I 0
u = −1.48920 + 0.22849I
a = 0.038534 + 0.481933I
b = −1.006450 + 0.213522I
8.65591 − 0.95099I 0
u = −1.48920 − 0.22849I
a = 0.038534 − 0.481933I
b = −1.006450 − 0.213522I
8.65591 + 0.95099I 0
u = 0.485422
a = 0.280440
b = 0.634586
0.857296 12.0490
u = −1.51774 + 0.04528I
a = −0.387912 − 0.125330I
b = 1.158590 − 0.797595I
11.5235 − 10.1880I 0
u = −1.51774 − 0.04528I
a = −0.387912 + 0.125330I
b = 1.158590 + 0.797595I
11.5235 + 10.1880I 0
u = −0.333734 + 0.345049I
a = −1.76614 − 0.05989I
b = −0.577943 − 0.763081I
−1.45421 + 1.78453I −0.112248 − 1.219299I
u = −0.333734 − 0.345049I
a = −1.76614 + 0.05989I
b = −0.577943 + 0.763081I
−1.45421 − 1.78453I −0.112248 + 1.219299I
u = −0.189391 + 0.426079I
a = 0.525304 + 1.248360I
b = 0.682716 + 1.034730I
3.03965 + 1.07983I 8.05417 + 4.35038I
u = −0.189391 − 0.426079I
a = 0.525304 − 1.248360I
b = 0.682716 − 1.034730I
3.03965 − 1.07983I 8.05417 − 4.35038I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56975
a = 0.142767
b = 1.55545
7.63894 0
u = −1.68430
a = −0.0947263
b = −0.00556291
10.1752 0
u = −0.129828 + 0.157428I
a = −3.05094 + 4.63072I
b = 0.764905 + 0.606177I
2.01233 + 4.97977I 8.23013 − 5.61565I
u = −0.129828 − 0.157428I
a = −3.05094 − 4.63072I
b = 0.764905 − 0.606177I
2.01233 − 4.97977I 8.23013 + 5.61565I
20
II. I
u
2
= h131u
33
+ 320u
32
+ · · · + 29b + 254, 39u
33
− 154u
32
+ · · · + 29a +
266, u
34
− 17u
32
+ · · · + 8u − 1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
6
=
1
−u
2
a
12
=
u
−u
3
+ u
a
7
=
−u
2
+ 1
u
4
− 2u
2
a
1
=
−u
3
+ 2u
−u
3
+ u
a
9
=
−1.34483u
33
+ 5.31034u
32
+ ··· + 12.7931u − 9.17241
−4.51724u
33
− 11.0345u
32
+ ··· + 60.6897u − 8.75862
a
4
=
9.86207u
33
+ 18.7241u
32
+ ··· − 128.483u + 17.9310
−11.1724u
33
− 9.34483u
32
+ ··· + 40.8966u − 6.58621
a
2
=
−0.448276u
33
+ 3.10345u
32
+ ··· − 27.0690u + 9.27586
−2u
33
− u
32
+ ··· + u + 1
a
8
=
−1.34483u
33
+ 4.31034u
32
+ ··· + 18.7931u − 10.1724
−4.51724u
33
− 13.0345u
32
+ ··· + 67.6897u − 9.75862
a
10
=
5.24138u
33
+ 1.48276u
32
+ ··· + 50.3448u − 15.3793
−10.5172u
33
− 7.03448u
32
+ ··· + 15.6897u − 3.75862
a
3
=
−1.20690u
33
+ 1.58621u
32
+ ··· − 21.7241u + 9.89655
0.689655u
33
− 4.62069u
32
+ ··· + 23.4138u − 1.65517
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1041
29
u
33
+
1009
29
u
32
+ ··· −
3998
29
u +
912
29
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
− 3u
33
+ ··· + 2u
2
− 1
c
2
u
34
− 8u
32
+ ··· + u + 1
c
3
u
34
− 2u
32
+ ··· − u − 1
c
4
u
34
+ u
32
+ ··· − 4u − 1
c
5
, c
6
u
34
− 17u
32
+ ··· + 8u − 1
c
7
u
34
− 8u
32
+ ··· − u + 1
c
8
u
34
+ u
33
+ ··· + 4u
2
+ 1
c
9
u
34
+ 4u
32
+ ··· + 4u + 1
c
10
u
34
− 12u
33
+ ··· − 56u + 4
c
11
u
34
− 17u
32
+ ··· − 8u − 1
c
12
u
34
+ 3u
33
+ ··· − 8u − 1
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
− 13y
33
+ ··· − 4y + 1
c
2
, c
7
y
34
− 16y
33
+ ··· − 31y + 1
c
3
y
34
− 4y
33
+ ··· + 21y + 1
c
4
y
34
+ 2y
33
+ ··· − 22y + 1
c
5
, c
6
, c
11
y
34
− 34y
33
+ ··· − 32y + 1
c
8
y
34
+ 21y
33
+ ··· + 8y + 1
c
9
y
34
+ 8y
33
+ ··· + 4y + 1
c
10
y
34
+ 4y
33
+ ··· + 80y + 16
c
12
y
34
− 9y
33
+ ··· − 28y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.526308 + 0.787564I
a = 0.864342 + 0.181925I
b = 0.485578 − 0.148400I
1.52448 − 2.92080I 0.91674 + 5.58965I
u = 0.526308 − 0.787564I
a = 0.864342 − 0.181925I
b = 0.485578 + 0.148400I
1.52448 + 2.92080I 0.91674 − 5.58965I
u = −1.164280 + 0.179890I
a = −0.684467 − 1.050570I
b = 0.457760 − 1.201170I
1.26287 − 3.90402I 7.85607 + 2.42666I
u = −1.164280 − 0.179890I
a = −0.684467 + 1.050570I
b = 0.457760 + 1.201170I
1.26287 + 3.90402I 7.85607 − 2.42666I
u = 1.155990 + 0.284819I
a = −0.22935 − 1.75427I
b = −0.622169 − 0.514867I
3.49748 + 6.80335I 11.5376 − 8.2096I
u = 1.155990 − 0.284819I
a = −0.22935 + 1.75427I
b = −0.622169 + 0.514867I
3.49748 − 6.80335I 11.5376 + 8.2096I
u = −1.195910 + 0.244747I
a = −1.075200 − 0.238234I
b = −0.89137 − 1.41358I
0.732461 + 0.915441I 4.04182 − 1.39990I
u = −1.195910 − 0.244747I
a = −1.075200 + 0.238234I
b = −0.89137 + 1.41358I
0.732461 − 0.915441I 4.04182 + 1.39990I
u = 1.220150 + 0.177222I
a = −1.284560 + 0.381957I
b = 0.956591 − 0.459125I
4.33078 − 3.58495I 10.35085 + 5.27900I
u = 1.220150 − 0.177222I
a = −1.284560 − 0.381957I
b = 0.956591 + 0.459125I
4.33078 + 3.58495I 10.35085 − 5.27900I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.532052 + 0.526498I
a = −1.51021 − 0.47276I
b = −0.783339 − 0.789584I
−0.69563 + 1.42318I 10.44389 + 3.14665I
u = −0.532052 − 0.526498I
a = −1.51021 + 0.47276I
b = −0.783339 + 0.789584I
−0.69563 − 1.42318I 10.44389 − 3.14665I
u = −0.131665 + 0.732350I
a = 0.82839 − 2.67661I
b = 1.09485 − 1.31813I
−2.39868 − 4.42435I 4.23991 + 5.65394I
u = −0.131665 − 0.732350I
a = 0.82839 + 2.67661I
b = 1.09485 + 1.31813I
−2.39868 + 4.42435I 4.23991 − 5.65394I
u = −1.241240 + 0.212874I
a = 0.81651 − 1.44311I
b = −0.144983 − 0.774871I
−0.17471 − 2.07205I 1.71001 − 2.67417I
u = −1.241240 − 0.212874I
a = 0.81651 + 1.44311I
b = −0.144983 + 0.774871I
−0.17471 + 2.07205I 1.71001 + 2.67417I
u = 1.301910 + 0.008397I
a = −1.55655 − 0.33198I
b = 0.721682 + 0.892920I
7.30584 + 2.09187I 16.7276 − 4.2341I
u = 1.301910 − 0.008397I
a = −1.55655 + 0.33198I
b = 0.721682 − 0.892920I
7.30584 − 2.09187I 16.7276 + 4.2341I
u = 0.196510 + 0.635568I
a = −0.400631 − 0.095481I
b = −0.978314 − 0.259772I
1.32286 + 6.33923I 5.25953 − 8.51173I
u = 0.196510 − 0.635568I
a = −0.400631 + 0.095481I
b = −0.978314 + 0.259772I
1.32286 − 6.33923I 5.25953 + 8.51173I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.143113 + 0.629395I
a = −1.57327 − 0.85037I
b = 0.181906 − 0.605964I
−3.53657 − 0.88192I 7.59270 + 6.75780I
u = −0.143113 − 0.629395I
a = −1.57327 + 0.85037I
b = 0.181906 + 0.605964I
−3.53657 + 0.88192I 7.59270 − 6.75780I
u = 1.346010 + 0.318175I
a = 1.09335 − 1.73483I
b = −1.22377 − 1.32062I
2.26293 + 8.25380I 0
u = 1.346010 − 0.318175I
a = 1.09335 + 1.73483I
b = −1.22377 + 1.32062I
2.26293 − 8.25380I 0
u = 1.375750 + 0.282089I
a = 1.046070 − 0.193076I
b = −0.302945 − 0.455018I
1.34598 + 4.25317I 0
u = 1.375750 − 0.282089I
a = 1.046070 + 0.193076I
b = −0.302945 + 0.455018I
1.34598 − 4.25317I 0
u = −1.379380 + 0.277388I
a = −0.571174 − 0.499963I
b = 1.115970 − 0.160071I
6.34890 − 9.73765I 0
u = −1.379380 − 0.277388I
a = −0.571174 + 0.499963I
b = 1.115970 + 0.160071I
6.34890 + 9.73765I 0
u = −1.43986 + 0.07729I
a = 0.652185 + 0.579674I
b = −0.796103 + 1.088420I
9.18517 + 1.08798I 0
u = −1.43986 − 0.07729I
a = 0.652185 − 0.579674I
b = −0.796103 − 1.088420I
9.18517 − 1.08798I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.51693
a = 0.106929
b = 1.96030
6.93169 0
u = −1.67726
a = 0.0243554
b = −0.203932
10.2140 0
u = 0.185029 + 0.083244I
a = −4.48107 + 4.18703I
b = −0.149519 + 1.012840I
3.52620 − 1.84698I 12.93397 + 1.36937I
u = 0.185029 − 0.083244I
a = −4.48107 − 4.18703I
b = −0.149519 − 1.012840I
3.52620 + 1.84698I 12.93397 − 1.36937I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 3u
33
+ ··· + 2u
2
− 1)(u
154
− 14u
153
+ ··· + 40u − 1)
c
2
(u
34
− 8u
32
+ ··· + u + 1)(u
154
+ u
153
+ ··· + 1715u − 2401)
c
3
(u
34
− 2u
32
+ ··· − u − 1)(u
154
+ u
153
+ ··· − 148813u + 30543)
c
4
(u
34
+ u
32
+ ··· − 4u − 1)(u
154
+ 3u
153
+ ··· + 6894u + 41)
c
5
, c
6
(u
34
− 17u
32
+ ··· + 8u − 1)(u
154
+ u
153
+ ··· + 572u + 49)
c
7
(u
34
− 8u
32
+ ··· − u + 1)(u
154
+ u
153
+ ··· + 1715u − 2401)
c
8
(u
34
+ u
33
+ ··· + 4u
2
+ 1)(u
154
+ 7u
152
+ ··· + 1316u + 187)
c
9
(u
34
+ 4u
32
+ ··· + 4u + 1)(u
154
− 3u
153
+ ··· + 1930u − 83)
c
10
(u
34
− 12u
33
+ ··· − 56u + 4)
· (u
154
− 7u
153
+ ··· + 13536812u − 792892)
c
11
(u
34
− 17u
32
+ ··· − 8u − 1)(u
154
+ u
153
+ ··· + 572u + 49)
c
12
(u
34
+ 3u
33
+ ··· − 8u − 1)
· (u
154
− 6u
153
+ ··· − 118592654u − 10006731)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
− 13y
33
+ ··· − 4y + 1)(y
154
+ 4y
153
+ ··· − 96y + 1)
c
2
, c
7
(y
34
− 16y
33
+ ··· − 31y + 1)
· (y
154
− 87y
153
+ ··· + 38235925y + 5764801)
c
3
(y
34
− 4y
33
+ ··· + 21y + 1)
· (y
154
+ 33y
153
+ ··· + 26474687753y + 932874849)
c
4
(y
34
+ 2y
33
+ ··· − 22y + 1)(y
154
+ 19y
153
+ ··· − 5.41478 × 10
7
y + 1681)
c
5
, c
6
, c
11
(y
34
− 34y
33
+ ··· − 32y + 1)(y
154
− 137y
153
+ ··· + 38356y + 2401)
c
8
(y
34
+ 21y
33
+ ··· + 8y + 1)(y
154
+ 14y
153
+ ··· − 2877044y + 34969)
c
9
(y
34
+ 8y
33
+ ··· + 4y + 1)(y
154
+ y
153
+ ··· − 2295640y + 6889)
c
10
(y
34
+ 4y
33
+ ··· + 80y + 16)
· (y
154
− 27y
153
+ ··· − 308019410590464y + 628677723664)
c
12
(y
34
− 9y
33
+ ··· − 28y + 1)
· (y
154
+ 28y
153
+ ··· + 1260521920984700y + 100134665306361)
29
