12a
0870
(K12a
0870
)
A knot diagram
1
Linearized knot diagam
4 6 7 9 10 11 1 12 5 2 3 8
Solving Sequence
5,10 2,6
3 11 7 12 9 4 1 8
c
5
c
2
c
10
c
6
c
11
c
9
c
4
c
1
c
8
c
3
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.54960 × 10
370
u
119
+ 2.86117 × 10
370
u
118
+ ··· + 1.62945 × 10
371
b − 1.98484 × 10
372
,
− 8.95643 × 10
372
u
119
+ 1.63636 × 10
373
u
118
+ ··· + 1.62945 × 10
371
a − 6.28178 × 10
373
,
u
120
− 2u
119
+ ··· + 39u − 1i
I
u
2
= h876u
26
+ 1025u
25
+ ··· + 2461b − 1161, −u
23
+ u
22
+ ··· + a + 5, u
27
− u
26
+ ··· + 10u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 147 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−6.55 × 10
370
u
119
+ 2.86 × 10
370
u
118
+ · · · + 1.63 × 10
371
b − 1.98 ×
10
372
, −8.96 × 10
372
u
119
+ 1.64 × 10
373
u
118
+ · · · + 1.63 × 10
371
a − 6.28 ×
10
373
, u
120
− 2u
119
+ · · · + 39u − 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
2
=
54.9659u
119
− 100.424u
118
+ ··· − 11615.5u + 385.515
0.401951u
119
− 0.175591u
118
+ ··· − 227.860u + 12.1810
a
6
=
1
−u
2
a
3
=
56.8121u
119
− 104.056u
118
+ ··· − 12159.2u + 407.204
0.590180u
119
− 0.157202u
118
+ ··· − 227.338u + 12.1203
a
11
=
33.1201u
119
− 60.7925u
118
+ ··· − 7301.06u + 249.734
2.18895u
119
− 3.76307u
118
+ ··· − 16.5883u − 3.37165
a
7
=
51.0385u
119
− 90.7444u
118
+ ··· − 8238.29u + 256.337
−1.20417u
119
+ 2.82829u
118
+ ··· + 732.655u − 28.8332
a
12
=
19.8253u
119
− 40.2460u
118
+ ··· − 9327.21u + 368.069
2.65349u
119
− 4.92166u
118
+ ··· − 696.236u + 27.8624
a
9
=
−u
u
a
4
=
−u
2
+ 1
u
2
a
1
=
52.8259u
119
− 96.9718u
118
+ ··· − 11517.1u + 387.963
0.515629u
119
+ 0.0216045u
118
+ ··· − 214.156u + 11.7777
a
8
=
25.1563u
119
− 44.6996u
118
+ ··· − 5453.41u + 212.193
−6.89765u
119
+ 12.3493u
118
+ ··· + 2103.98u − 78.2389
(ii) Obstruction class = −1
(iii) Cusp Shapes = 40.6118u
119
− 72.5190u
118
+ ··· − 6607.82u + 200.568
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
120
+ 2u
119
+ ··· − 340978u + 22627
c
2
u
120
− 3u
119
+ ··· + 52767u + 9067
c
3
u
120
− 5u
119
+ ··· − 58768u + 18208
c
4
, c
5
, c
9
u
120
+ 2u
119
+ ··· − 39u − 1
c
6
u
120
− 11u
118
+ ··· + 29u + 1
c
7
, c
8
, c
12
u
120
+ 57u
118
+ ··· + 179u + 43
c
10
u
120
+ 3u
119
+ ··· + 1582u + 527
c
11
u
120
+ 3u
119
+ ··· + 4239u − 3181
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
120
− 12y
119
+ ··· − 60610138314y + 511981129
c
2
y
120
− 37y
119
+ ··· − 4553618133y + 82210489
c
3
y
120
− 45y
119
+ ··· − 6327045888y + 331531264
c
4
, c
5
, c
9
y
120
− 128y
119
+ ··· − 367y + 1
c
6
y
120
− 22y
119
+ ··· − 537y + 1
c
7
, c
8
, c
12
y
120
+ 114y
119
+ ··· − 102991y + 1849
c
10
y
120
+ 31y
119
+ ··· + 2355162y + 277729
c
11
y
120
− 3y
119
+ ··· − 363476617y + 10118761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.478483 + 0.849417I
a = −0.767371 + 0.191220I
b = 0.550456 + 0.091495I
−0.61287 − 4.48013I 0
u = 0.478483 − 0.849417I
a = −0.767371 − 0.191220I
b = 0.550456 − 0.091495I
−0.61287 + 4.48013I 0
u = 0.575507 + 0.779779I
a = 0.173619 + 1.369450I
b = 0.216728 − 0.600397I
−0.33148 + 9.79234I 0
u = 0.575507 − 0.779779I
a = 0.173619 − 1.369450I
b = 0.216728 + 0.600397I
−0.33148 − 9.79234I 0
u = 0.273232 + 1.032380I
a = −0.463078 − 0.662791I
b = 0.075684 + 0.394031I
−1.98811 + 4.42294I 0
u = 0.273232 − 1.032380I
a = −0.463078 + 0.662791I
b = 0.075684 − 0.394031I
−1.98811 − 4.42294I 0
u = −0.518844 + 0.733055I
a = −0.269808 + 0.947950I
b = 0.123018 − 0.706042I
1.76059 − 2.74032I 0
u = −0.518844 − 0.733055I
a = −0.269808 − 0.947950I
b = 0.123018 + 0.706042I
1.76059 + 2.74032I 0
u = −0.622693 + 0.911978I
a = 0.189781 − 1.191170I
b = 0.382272 + 0.610684I
−6.5229 − 13.5895I 0
u = −0.622693 − 0.911978I
a = 0.189781 + 1.191170I
b = 0.382272 − 0.610684I
−6.5229 + 13.5895I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.753947 + 0.480130I
a = −0.780125 + 0.120594I
b = 0.966255 − 0.233013I
0.000609 + 0.829262I 0
u = −0.753947 − 0.480130I
a = −0.780125 − 0.120594I
b = 0.966255 + 0.233013I
0.000609 − 0.829262I 0
u = 0.909026 + 0.665065I
a = −0.003551 − 0.751036I
b = 0.040568 + 0.950919I
−2.61930 + 1.01094I 0
u = 0.909026 − 0.665065I
a = −0.003551 + 0.751036I
b = 0.040568 − 0.950919I
−2.61930 − 1.01094I 0
u = 1.079280 + 0.343096I
a = 0.866867 − 0.135791I
b = 0.558626 − 0.074170I
−4.49341 − 2.35363I 0
u = 1.079280 − 0.343096I
a = 0.866867 + 0.135791I
b = 0.558626 + 0.074170I
−4.49341 + 2.35363I 0
u = −0.708210 + 0.478105I
a = 1.41992 + 0.30534I
b = −0.673792 + 0.470912I
−7.25207 + 0.98951I 0
u = −0.708210 − 0.478105I
a = 1.41992 − 0.30534I
b = −0.673792 − 0.470912I
−7.25207 − 0.98951I 0
u = −0.830894 + 0.185761I
a = 1.169230 + 0.325097I
b = 0.248193 − 0.143424I
0.246168 + 0.061672I 0
u = −0.830894 − 0.185761I
a = 1.169230 − 0.325097I
b = 0.248193 + 0.143424I
0.246168 − 0.061672I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.452519 + 1.057460I
a = 0.553440 + 0.331900I
b = 0.126470 − 0.168338I
−4.38678 + 5.06586I 0
u = 0.452519 − 1.057460I
a = 0.553440 − 0.331900I
b = 0.126470 + 0.168338I
−4.38678 − 5.06586I 0
u = 1.149860 + 0.070091I
a = −0.006453 + 0.395205I
b = 1.15683 − 1.55091I
−3.75681 − 1.03419I 0
u = 1.149860 − 0.070091I
a = −0.006453 − 0.395205I
b = 1.15683 + 1.55091I
−3.75681 + 1.03419I 0
u = 0.151147 + 0.823040I
a = 0.86443 + 1.24866I
b = 0.146533 − 0.137851I
−8.39973 + 2.22044I 0
u = 0.151147 − 0.823040I
a = 0.86443 − 1.24866I
b = 0.146533 + 0.137851I
−8.39973 − 2.22044I 0
u = −0.422357 + 0.704219I
a = 0.820403 − 0.635098I
b = −0.023246 + 0.188752I
1.69314 − 1.85272I 0
u = −0.422357 − 0.704219I
a = 0.820403 + 0.635098I
b = −0.023246 − 0.188752I
1.69314 + 1.85272I 0
u = −0.403079 + 0.670090I
a = 0.41244 − 1.67380I
b = 0.048249 + 0.433133I
−1.01899 − 4.94043I 0
u = −0.403079 − 0.670090I
a = 0.41244 + 1.67380I
b = 0.048249 − 0.433133I
−1.01899 + 4.94043I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.608246 + 1.086410I
a = −0.612090 − 0.173967I
b = 0.405539 − 0.264911I
−6.72107 + 7.19768I 0
u = −0.608246 − 1.086410I
a = −0.612090 + 0.173967I
b = 0.405539 + 0.264911I
−6.72107 − 7.19768I 0
u = 1.089660 + 0.606849I
a = −0.618763 − 0.132814I
b = 0.876160 + 0.605218I
−5.69944 + 2.78171I 0
u = 1.089660 − 0.606849I
a = −0.618763 + 0.132814I
b = 0.876160 − 0.605218I
−5.69944 − 2.78171I 0
u = −0.726933 + 0.067830I
a = 0.42675 + 1.56256I
b = 0.50877 − 1.86490I
−4.06221 − 5.35034I 0
u = −0.726933 − 0.067830I
a = 0.42675 − 1.56256I
b = 0.50877 + 1.86490I
−4.06221 + 5.35034I 0
u = −0.405015 + 0.588736I
a = −0.35512 + 1.98421I
b = −0.710110 − 0.653830I
−8.09284 − 4.73305I 0
u = −0.405015 − 0.588736I
a = −0.35512 − 1.98421I
b = −0.710110 + 0.653830I
−8.09284 + 4.73305I 0
u = 0.547603 + 0.454014I
a = 0.585941 − 0.526840I
b = 0.159576 + 0.709440I
−2.85217 + 1.79301I 0
u = 0.547603 − 0.454014I
a = 0.585941 + 0.526840I
b = 0.159576 − 0.709440I
−2.85217 − 1.79301I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.287130 + 0.226241I
a = 0.453160 + 1.250730I
b = −0.52610 − 2.67215I
−3.99178 − 5.99598I 0
u = −1.287130 − 0.226241I
a = 0.453160 − 1.250730I
b = −0.52610 + 2.67215I
−3.99178 + 5.99598I 0
u = 0.508195 + 0.415399I
a = 0.48567 − 1.88483I
b = −0.297989 + 0.609389I
−1.49358 + 2.77561I 0
u = 0.508195 − 0.415399I
a = 0.48567 + 1.88483I
b = −0.297989 − 0.609389I
−1.49358 − 2.77561I 0
u = 0.162960 + 0.630383I
a = 0.103205 − 0.977469I
b = −1.04484 + 0.96767I
−7.25062 + 5.95071I 0
u = 0.162960 − 0.630383I
a = 0.103205 + 0.977469I
b = −1.04484 − 0.96767I
−7.25062 − 5.95071I 0
u = −1.358730 + 0.031900I
a = −0.128589 − 0.355133I
b = 0.68025 + 1.82260I
2.80943 − 1.19492I 0
u = −1.358730 − 0.031900I
a = −0.128589 + 0.355133I
b = 0.68025 − 1.82260I
2.80943 + 1.19492I 0
u = 1.38527
a = 1.05701
b = −0.374028
2.28263 0
u = 1.396410 + 0.007950I
a = −0.577667 + 0.692521I
b = −0.48919 − 2.39754I
2.80753 + 2.62829I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.396410 − 0.007950I
a = −0.577667 − 0.692521I
b = −0.48919 + 2.39754I
2.80753 − 2.62829I 0
u = 1.402730 + 0.038408I
a = 0.63374 − 1.48215I
b = −0.66816 + 3.36307I
5.44161 + 3.32832I 0
u = 1.402730 − 0.038408I
a = 0.63374 + 1.48215I
b = −0.66816 − 3.36307I
5.44161 − 3.32832I 0
u = −1.406160 + 0.099173I
a = 1.014220 − 0.092722I
b = −0.270731 + 0.472154I
−1.96529 − 4.26450I 0
u = −1.406160 − 0.099173I
a = 1.014220 + 0.092722I
b = −0.270731 − 0.472154I
−1.96529 + 4.26450I 0
u = 1.404700 + 0.130601I
a = −0.108113 + 0.283629I
b = 0.58648 − 2.23100I
3.59810 + 5.30904I 0
u = 1.404700 − 0.130601I
a = −0.108113 − 0.283629I
b = 0.58648 + 2.23100I
3.59810 − 5.30904I 0
u = −1.401130 + 0.190037I
a = −0.079236 − 0.260877I
b = 0.72768 + 2.52738I
−2.21911 − 8.79214I 0
u = −1.401130 − 0.190037I
a = −0.079236 + 0.260877I
b = 0.72768 − 2.52738I
−2.21911 + 8.79214I 0
u = −0.223950 + 0.539425I
a = 0.376489 + 1.062640I
b = −0.784184 − 0.764176I
−1.58940 − 3.03839I 0. + 8.59848I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.223950 − 0.539425I
a = 0.376489 − 1.062640I
b = −0.784184 + 0.764176I
−1.58940 + 3.03839I 0. − 8.59848I
u = −1.42603 + 0.04080I
a = −0.538009 + 0.495308I
b = −0.009278 − 1.061150I
3.54135 − 2.83450I 0
u = −1.42603 − 0.04080I
a = −0.538009 − 0.495308I
b = −0.009278 + 1.061150I
3.54135 + 2.83450I 0
u = −1.41717 + 0.23454I
a = −0.125846 + 0.883347I
b = 0.48427 − 2.14137I
5.82758 − 0.12145I 0
u = −1.41717 − 0.23454I
a = −0.125846 − 0.883347I
b = 0.48427 + 2.14137I
5.82758 + 0.12145I 0
u = −1.44781 + 0.02957I
a = 0.85478 − 1.42201I
b = −1.06793 + 3.33256I
6.68138 − 3.02805I 0
u = −1.44781 − 0.02957I
a = 0.85478 + 1.42201I
b = −1.06793 − 3.33256I
6.68138 + 3.02805I 0
u = 1.45894 + 0.10853I
a = 1.13982 + 1.10887I
b = −1.51407 − 2.79596I
0.31268 + 8.12438I 0
u = 1.45894 − 0.10853I
a = 1.13982 − 1.10887I
b = −1.51407 + 2.79596I
0.31268 − 8.12438I 0
u = −0.514478
a = 0.541958
b = 0.362022
0.861482 11.4300
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.49675 + 0.06976I
a = −0.520851 − 0.716080I
b = −0.14152 + 2.61330I
7.58116 − 4.68582I 0
u = −1.49675 − 0.06976I
a = −0.520851 + 0.716080I
b = −0.14152 − 2.61330I
7.58116 + 4.68582I 0
u = 1.48951 + 0.18039I
a = −0.361848 + 1.163260I
b = 1.02518 − 3.44855I
−1.86405 + 7.47025I 0
u = 1.48951 − 0.18039I
a = −0.361848 − 1.163260I
b = 1.02518 + 3.44855I
−1.86405 − 7.47025I 0
u = 1.48920 + 0.22925I
a = 0.630966 − 1.058700I
b = −0.87163 + 2.67400I
5.17663 + 8.19160I 0
u = 1.48920 − 0.22925I
a = 0.630966 + 1.058700I
b = −0.87163 − 2.67400I
5.17663 − 8.19160I 0
u = −1.47417 + 0.34800I
a = −0.462583 − 0.762589I
b = 0.23733 + 1.95877I
3.69434 − 9.18982I 0
u = −1.47417 − 0.34800I
a = −0.462583 + 0.762589I
b = 0.23733 − 1.95877I
3.69434 + 9.18982I 0
u = −1.52450 + 0.10022I
a = −0.792506 − 1.004320I
b = 1.45076 + 2.76776I
5.30025 − 4.55141I 0
u = −1.52450 − 0.10022I
a = −0.792506 + 1.004320I
b = 1.45076 − 2.76776I
5.30025 + 4.55141I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53217
a = −1.18540
b = 1.96526
7.64836 0
u = 1.53210 + 0.02964I
a = −0.479060 + 0.317483I
b = 0.124509 − 0.884896I
7.86979 + 0.12335I 0
u = 1.53210 − 0.02964I
a = −0.479060 − 0.317483I
b = 0.124509 + 0.884896I
7.86979 − 0.12335I 0
u = 1.50554 + 0.28596I
a = 0.061157 − 0.855092I
b = 0.05022 + 2.13935I
7.92931 + 5.62370I 0
u = 1.50554 − 0.28596I
a = 0.061157 + 0.855092I
b = 0.05022 − 2.13935I
7.92931 − 5.62370I 0
u = 1.53417 + 0.24470I
a = −0.503463 + 0.728796I
b = 0.26620 − 2.14771I
8.51879 + 6.31864I 0
u = 1.53417 − 0.24470I
a = −0.503463 − 0.728796I
b = 0.26620 + 2.14771I
8.51879 − 6.31864I 0
u = −0.300487 + 0.327946I
a = −3.37755 + 0.90478I
b = −0.708742 − 0.194143I
−5.53393 − 6.53521I 3.67968 + 12.27396I
u = −0.300487 − 0.327946I
a = −3.37755 − 0.90478I
b = −0.708742 + 0.194143I
−5.53393 + 6.53521I 3.67968 − 12.27396I
u = 0.378256 + 0.204106I
a = −0.07509 − 2.19627I
b = 0.661601 + 1.147620I
1.26755 + 3.68939I 14.1085 − 10.3901I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.378256 − 0.204106I
a = −0.07509 + 2.19627I
b = 0.661601 − 1.147620I
1.26755 − 3.68939I 14.1085 + 10.3901I
u = −1.57122 + 0.04726I
a = −0.307212 − 0.207910I
b = −0.291507 + 1.139090I
4.24494 − 3.07101I 0
u = −1.57122 − 0.04726I
a = −0.307212 + 0.207910I
b = −0.291507 − 1.139090I
4.24494 + 3.07101I 0
u = −1.55077 + 0.27155I
a = 0.592824 + 0.955113I
b = −0.86215 − 2.61379I
6.6116 − 13.6686I 0
u = −1.55077 − 0.27155I
a = 0.592824 − 0.955113I
b = −0.86215 + 2.61379I
6.6116 + 13.6686I 0
u = 0.278793 + 0.317350I
a = 1.47934 − 1.34726I
b = −0.733679 + 0.173179I
−1.93909 − 0.00308I −2.97026 − 0.18245I
u = 0.278793 − 0.317350I
a = 1.47934 + 1.34726I
b = −0.733679 − 0.173179I
−1.93909 + 0.00308I −2.97026 + 0.18245I
u = 1.58717 + 0.06407I
a = −0.455942 + 0.717978I
b = −0.03092 − 3.04427I
3.78088 + 6.13678I 0
u = 1.58717 − 0.06407I
a = −0.455942 − 0.717978I
b = −0.03092 + 3.04427I
3.78088 − 6.13678I 0
u = −1.56163 + 0.35751I
a = 0.111699 + 0.777832I
b = −0.14231 − 2.00720I
2.22591 − 10.12800I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56163 − 0.35751I
a = 0.111699 − 0.777832I
b = −0.14231 + 2.00720I
2.22591 + 10.12800I 0
u = 1.58219 + 0.31731I
a = 0.541346 − 0.911805I
b = −0.85106 + 2.61130I
0.6367 + 18.1163I 0
u = 1.58219 − 0.31731I
a = 0.541346 + 0.911805I
b = −0.85106 − 2.61130I
0.6367 − 18.1163I 0
u = −1.61149 + 0.14863I
a = −0.574957 − 0.689378I
b = 0.53379 + 2.21130I
5.81944 − 3.80808I 0
u = −1.61149 − 0.14863I
a = −0.574957 + 0.689378I
b = 0.53379 − 2.21130I
5.81944 + 3.80808I 0
u = 0.099550 + 0.357549I
a = 3.40084 + 0.11744I
b = −0.248238 − 0.018140I
0.88539 − 2.49245I 5.66668 − 8.97113I
u = 0.099550 − 0.357549I
a = 3.40084 − 0.11744I
b = −0.248238 + 0.018140I
0.88539 + 2.49245I 5.66668 + 8.97113I
u = 0.101994 + 0.343208I
a = −1.20311 + 2.17941I
b = −1.238800 − 0.141228I
−6.99324 + 2.77055I −5.62527 − 0.64142I
u = 0.101994 − 0.343208I
a = −1.20311 − 2.17941I
b = −1.238800 + 0.141228I
−6.99324 − 2.77055I −5.62527 + 0.64142I
u = 0.292276
a = 3.35108
b = −0.876008
−2.02587 −4.65530
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.64029 + 0.47997I
a = −0.137601 + 0.403951I
b = 0.272214 − 0.727372I
2.24875 + 2.24460I 0
u = 1.64029 − 0.47997I
a = −0.137601 − 0.403951I
b = 0.272214 + 0.727372I
2.24875 − 2.24460I 0
u = −1.70288 + 0.23941I
a = −0.224031 − 0.359461I
b = 0.281094 + 0.872760I
6.55479 − 0.50923I 0
u = −1.70288 − 0.23941I
a = −0.224031 + 0.359461I
b = 0.281094 − 0.872760I
6.55479 + 0.50923I 0
u = 0.228090 + 0.011956I
a = −1.75274 − 6.49706I
b = −0.469492 + 0.140074I
1.05035 + 2.70090I 19.6362 − 8.3426I
u = 0.228090 − 0.011956I
a = −1.75274 + 6.49706I
b = −0.469492 − 0.140074I
1.05035 − 2.70090I 19.6362 + 8.3426I
u = 1.85001 + 0.09441I
a = −0.233906 + 0.296921I
b = 0.397230 − 0.943654I
2.25853 − 1.14063I 0
u = 1.85001 − 0.09441I
a = −0.233906 − 0.296921I
b = 0.397230 + 0.943654I
2.25853 + 1.14063I 0
u = 0.0774794 + 0.0096003I
a = −4.34810 − 8.06868I
b = 1.26231 − 0.68018I
−1.83651 − 2.54010I 7.94659 + 0.05997I
u = 0.0774794 − 0.0096003I
a = −4.34810 + 8.06868I
b = 1.26231 + 0.68018I
−1.83651 + 2.54010I 7.94659 − 0.05997I
16
II. I
u
2
= h876u
26
+ 1025u
25
+ · · · + 2461b − 1161, −u
23
+ u
22
+ · · · + a +
5, u
27
− u
26
+ · · · + 10u
2
+ 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
2
=
u
23
− u
22
+ ··· + 4u − 5
−0.355953u
26
− 0.416497u
25
+ ··· − 0.316538u + 0.471759
a
6
=
1
−u
2
a
3
=
−0.355953u
26
+ 0.583503u
25
+ ··· + 3.68346u − 4.52824
0.0589191u
26
− 1.62170u
25
+ ··· − 0.672491u + 0.699309
a
11
=
−2u
26
+ 2u
25
+ ··· − 20u − 2
−0.611134u
26
+ 0.896790u
25
+ ··· + 1.56156u + 0.0154409
a
7
=
−1.26209u
26
+ 2.73100u
25
+ ··· − 17.2844u + 7.26859
−0.194636u
26
− 0.877286u
25
+ ··· + 1.77326u + 0.131247
a
12
=
−0.386022u
26
+ 0.107680u
25
+ ··· − 7.31816u − 2.96099
−0.189760u
26
+ 0.416091u
25
+ ··· + 1.47623u − 0.203982
a
9
=
−u
u
a
4
=
−u
2
+ 1
u
2
a
1
=
−0.351077u
26
+ 0.876879u
25
+ ··· + 3.38643u − 5.86347
0.0540431u
26
− 1.91508u
25
+ ··· − 0.375457u + 1.03454
a
8
=
0.479074u
26
+ 0.324258u
25
+ ··· − 3.43356u + 4.31369
−0.459163u
26
− 0.292970u
25
+ ··· + 1.13734u + 0.0674523
(ii) Obstruction class = 1
(iii) Cusp Shapes =
12592
2461
u
26
−
19237
2461
u
25
+ ··· +
135304
2461
u −
21577
2461
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
27
− 9u
26
+ ··· − 23u + 5
c
2
u
27
− 2u
26
+ ··· − 8u + 1
c
3
u
27
+ 6u
26
+ ··· − 3u − 1
c
4
, c
5
u
27
− u
26
+ ··· + 10u
2
+ 1
c
6
u
27
− u
26
+ ··· + 3u
2
− 1
c
7
, c
8
u
27
− u
26
+ ··· − 4u + 1
c
9
u
27
+ u
26
+ ··· − 10u
2
− 1
c
10
u
27
+ 8u
25
+ ··· + u + 1
c
11
u
27
− 4u
26
+ ··· − 10u + 1
c
12
u
27
+ u
26
+ ··· − 4u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
27
+ 9y
26
+ ··· + 299y −25
c
2
y
27
− 12y
26
+ ··· + 18y −1
c
3
y
27
− 12y
26
+ ··· + 5y −1
c
4
, c
5
, c
9
y
27
− 35y
26
+ ··· − 20y −1
c
6
y
27
− 9y
26
+ ··· + 6y −1
c
7
, c
8
, c
12
y
27
+ 27y
26
+ ··· − 4y −1
c
10
y
27
+ 16y
26
+ ··· + 3y −1
c
11
y
27
+ 6y
26
+ ··· + 54y −1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.04037
a = 1.00683
b = 0.461390
−0.193338 −7.35220
u = 1.046140 + 0.167242I
a = 0.892888 + 0.037138I
b = 0.755789 − 0.659272I
−4.88119 − 1.69827I −3.22981 − 1.29555I
u = 1.046140 − 0.167242I
a = 0.892888 − 0.037138I
b = 0.755789 + 0.659272I
−4.88119 + 1.69827I −3.22981 + 1.29555I
u = 0.863500 + 0.358505I
a = 0.704974 − 0.270269I
b = −1.172410 − 0.471449I
−5.71340 + 3.66027I 1.22444 − 5.57779I
u = 0.863500 − 0.358505I
a = 0.704974 + 0.270269I
b = −1.172410 + 0.471449I
−5.71340 − 3.66027I 1.22444 + 5.57779I
u = −0.818683
a = 1.12201
b = −1.26578
−0.989388 3.10950
u = 0.331803 + 0.542375I
a = −0.340293 − 1.064430I
b = 0.702391 + 0.950397I
−2.34297 + 3.05528I 0.15934 − 7.37026I
u = 0.331803 − 0.542375I
a = −0.340293 + 1.064430I
b = 0.702391 − 0.950397I
−2.34297 − 3.05528I 0.15934 + 7.37026I
u = −0.062264 + 0.582429I
a = −1.210470 + 0.301418I
b = −0.282936 + 0.802285I
−5.99912 + 5.64859I 0.18026 − 4.57488I
u = −0.062264 − 0.582429I
a = −1.210470 − 0.301418I
b = −0.282936 − 0.802285I
−5.99912 − 5.64859I 0.18026 + 4.57488I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43730 + 0.15602I
a = 0.131402 − 1.054020I
b = 0.04363 + 3.39054I
−1.04909 − 8.01206I 4.70351 + 7.32753I
u = −1.43730 − 0.15602I
a = 0.131402 + 1.054020I
b = 0.04363 − 3.39054I
−1.04909 + 8.01206I 4.70351 − 7.32753I
u = 1.46754 + 0.10111I
a = −0.431281 + 1.334100I
b = 0.74561 − 3.28486I
6.09621 + 4.29868I 10.84353 − 6.97371I
u = 1.46754 − 0.10111I
a = −0.431281 − 1.334100I
b = 0.74561 + 3.28486I
6.09621 − 4.29868I 10.84353 + 6.97371I
u = −1.49372 + 0.16382I
a = −0.147075 − 0.821976I
b = 0.02017 + 1.93693I
5.99585 + 0.71384I 7.85879 − 3.32419I
u = −1.49372 − 0.16382I
a = −0.147075 + 0.821976I
b = 0.02017 − 1.93693I
5.99585 − 0.71384I 7.85879 + 3.32419I
u = 1.51363 + 0.10854I
a = −0.535985 + 0.852440I
b = 0.30674 − 2.72303I
6.72576 + 5.09394I 6.38078 − 6.96229I
u = 1.51363 − 0.10854I
a = −0.535985 − 0.852440I
b = 0.30674 + 2.72303I
6.72576 − 5.09394I 6.38078 + 6.96229I
u = −0.189461 + 0.443325I
a = −1.25671 + 1.53682I
b = 0.381122 − 0.650257I
0.65631 − 3.30219I 4.57851 + 5.52655I
u = −0.189461 − 0.443325I
a = −1.25671 − 1.53682I
b = 0.381122 + 0.650257I
0.65631 + 3.30219I 4.57851 − 5.52655I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.55311 + 0.11619I
a = −0.485422 − 0.593375I
b = −0.21323 + 2.47022I
4.34497 − 5.16743I 5.50887 + 4.11121I
u = −1.55311 − 0.11619I
a = −0.485422 + 0.593375I
b = −0.21323 − 2.47022I
4.34497 + 5.16743I 5.50887 − 4.11121I
u = −0.028142 + 0.338012I
a = −4.04976 + 0.71658I
b = 0.071120 − 0.252532I
0.73097 − 2.76572I −7.8057 + 13.6184I
u = −0.028142 − 0.338012I
a = −4.04976 − 0.71658I
b = 0.071120 + 0.252532I
0.73097 + 2.76572I −7.8057 − 13.6184I
u = −1.68862
a = −0.411896
b = 0.501218
6.64754 11.8770
u = 1.81521 + 0.23291I
a = −0.130732 + 0.149843I
b = −0.206407 − 0.444927I
2.57291 + 1.76236I 0
u = 1.81521 − 0.23291I
a = −0.130732 − 0.149843I
b = −0.206407 + 0.444927I
2.57291 − 1.76236I 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
27
− 9u
26
+ ··· − 23u + 5)(u
120
+ 2u
119
+ ··· − 340978u + 22627)
c
2
(u
27
− 2u
26
+ ··· − 8u + 1)(u
120
− 3u
119
+ ··· + 52767u + 9067)
c
3
(u
27
+ 6u
26
+ ··· − 3u − 1)(u
120
− 5u
119
+ ··· − 58768u + 18208)
c
4
, c
5
(u
27
− u
26
+ ··· + 10u
2
+ 1)(u
120
+ 2u
119
+ ··· − 39u − 1)
c
6
(u
27
− u
26
+ ··· + 3u
2
− 1)(u
120
− 11u
118
+ ··· + 29u + 1)
c
7
, c
8
(u
27
− u
26
+ ··· − 4u + 1)(u
120
+ 57u
118
+ ··· + 179u + 43)
c
9
(u
27
+ u
26
+ ··· − 10u
2
− 1)(u
120
+ 2u
119
+ ··· − 39u − 1)
c
10
(u
27
+ 8u
25
+ ··· + u + 1)(u
120
+ 3u
119
+ ··· + 1582u + 527)
c
11
(u
27
− 4u
26
+ ··· − 10u + 1)(u
120
+ 3u
119
+ ··· + 4239u − 3181)
c
12
(u
27
+ u
26
+ ··· − 4u − 1)(u
120
+ 57u
118
+ ··· + 179u + 43)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
27
+ 9y
26
+ ··· + 299y −25)
· (y
120
− 12y
119
+ ··· − 60610138314y + 511981129)
c
2
(y
27
− 12y
26
+ ··· + 18y −1)
· (y
120
− 37y
119
+ ··· − 4553618133y + 82210489)
c
3
(y
27
− 12y
26
+ ··· + 5y −1)
· (y
120
− 45y
119
+ ··· − 6327045888y + 331531264)
c
4
, c
5
, c
9
(y
27
− 35y
26
+ ··· − 20y −1)(y
120
− 128y
119
+ ··· − 367y + 1)
c
6
(y
27
− 9y
26
+ ··· + 6y −1)(y
120
− 22y
119
+ ··· − 537y + 1)
c
7
, c
8
, c
12
(y
27
+ 27y
26
+ ··· − 4y −1)(y
120
+ 114y
119
+ ··· − 102991y + 1849)
c
10
(y
27
+ 16y
26
+ ··· + 3y −1)
· (y
120
+ 31y
119
+ ··· + 2355162y + 277729)
c
11
(y
27
+ 6y
26
+ ··· + 54y −1)
· (y
120
− 3y
119
+ ··· − 363476617y + 10118761)
24
