12a
1054
(K12a
1054
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 12 3 11 2 1 8 5 6
Solving Sequence
5,11
12 6
1,8
7 10 4 2 3 9
c
11
c
5
c
12
c
7
c
10
c
4
c
1
c
2
c
9
c
3
, c
6
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h2.15321 × 10
634
u
158
− 5.10063 × 10
634
u
157
+ ··· + 7.40198 × 10
634
b − 2.87813 × 10
636
,
− 1.60326 × 10
635
u
158
+ 4.19807 × 10
635
u
157
+ ··· + 1.29871 × 10
636
a + 3.54875 × 10
637
,
u
159
− u
158
+ ··· − 2628u − 193i
I
u
2
= h−3.16298 × 10
25
u
45
− 2.36685 × 10
25
u
44
+ ··· + 1.74991 × 10
25
b − 3.55828 × 10
26
,
4.06958 × 10
26
u
45
+ 3.57978 × 10
26
u
44
+ ··· + 5.24973 × 10
25
a + 1.16350 × 10
27
, u
46
+ 2u
45
+ ··· + 7u + 3i
* 2 irreducible components of dim
C
= 0, with total 205 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
= h2.15 × 10
634
u
158
− 5.10 × 10
634
u
157
+ · · · + 7.40 × 10
634
b − 2.88 ×
10
636
, −1.60 × 10
635
u
158
+ 4.20 × 10
635
u
157
+ · · · + 1.30 × 10
636
a + 3.55 ×
10
637
, u
159
− u
158
+ · · · − 2628u − 193i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
6
=
u
−u
3
+ u
a
1
=
−u
2
+ 1
u
4
− 2u
2
a
8
=
0.123450u
158
− 0.323249u
157
+ ··· − 307.540u − 27.3251
−0.290897u
158
+ 0.689091u
157
+ ··· + 483.939u + 38.8833
a
7
=
0.414347u
158
− 1.01234u
157
+ ··· − 791.479u − 66.2084
−0.290897u
158
+ 0.689091u
157
+ ··· + 483.939u + 38.8833
a
10
=
−1.09858u
158
+ 2.52398u
157
+ ··· + 1949.19u + 151.364
1.01751u
158
− 2.21497u
157
+ ··· − 2093.91u − 162.844
a
4
=
−2.82070u
158
+ 6.50241u
157
+ ··· + 5629.10u + 439.227
−0.470943u
158
+ 1.22959u
157
+ ··· + 686.317u + 52.3871
a
2
=
0.458496u
158
− 1.13570u
157
+ ··· − 955.257u − 72.1383
−0.287925u
158
+ 0.710940u
157
+ ··· + 443.599u + 32.8072
a
3
=
0.828370u
158
− 2.00213u
157
+ ··· − 1693.31u − 130.632
−0.485796u
158
+ 1.14028u
157
+ ··· + 910.425u + 69.5863
a
9
=
−1.51656u
158
+ 3.41746u
157
+ ··· + 2800.47u + 217.244
0.135899u
158
− 0.219030u
157
+ ··· − 365.250u − 27.9326
(ii) Obstruction class = −1
(iii) Cusp Shapes = −5.99897u
158
+ 12.6571u
157
+ ··· + 12926.8u + 1026.83
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
159
− 11u
158
+ ··· − 43u + 11
c
2
, c
6
u
159
− 3u
158
+ ··· − 71881u − 10679
c
3
u
159
+ u
158
+ ··· + 527u − 25
c
4
u
159
− u
158
+ ··· + 46182518u − 10020811
c
5
, c
11
, c
12
u
159
− u
158
+ ··· − 2628u − 193
c
7
, c
10
u
159
− 12u
158
+ ··· + 53726u + 16181
c
8
u
159
− u
158
+ ··· − 8791546u − 1048243
c
9
u
159
− 5u
158
+ ··· − 16779u + 1957
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
159
+ 7y
158
+ ··· − 6709y −121
c
2
, c
6
y
159
+ 97y
158
+ ··· − 5702976927y −114041041
c
3
y
159
+ 17y
158
+ ··· − 58921y −625
c
4
y
159
− 15y
158
+ ··· + 1162437248935440y −100416653097721
c
5
, c
11
, c
12
y
159
− 159y
158
+ ··· − 2425166y −37249
c
7
, c
10
y
159
+ 70y
158
+ ··· − 10616690872y −261824761
c
8
y
159
+ 11y
158
+ ··· − 57826335947932y −1098813387049
c
9
y
159
− 21y
158
+ ··· + 100453631y −3829849
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.931695 + 0.357791I
a = −0.97351 − 1.30496I
b = 0.004696 − 0.961026I
−3.10088 − 3.11572I 0
u = −0.931695 − 0.357791I
a = −0.97351 + 1.30496I
b = 0.004696 + 0.961026I
−3.10088 + 3.11572I 0
u = 0.168571 + 0.972045I
a = 0.26892 + 1.60345I
b = 0.250633 + 1.204880I
−2.82090 + 2.76288I 0
u = 0.168571 − 0.972045I
a = 0.26892 − 1.60345I
b = 0.250633 − 1.204880I
−2.82090 − 2.76288I 0
u = 0.458881 + 0.956536I
a = 0.31707 − 1.71133I
b = −0.664222 − 1.214920I
0.9763 + 15.2232I 0
u = 0.458881 − 0.956536I
a = 0.31707 + 1.71133I
b = −0.664222 + 1.214920I
0.9763 − 15.2232I 0
u = 0.639690 + 0.887084I
a = 0.185987 + 0.895267I
b = −0.489570 + 0.646391I
1.65184 + 1.81096I 0
u = 0.639690 − 0.887084I
a = 0.185987 − 0.895267I
b = −0.489570 − 0.646391I
1.65184 − 1.81096I 0
u = −0.528201 + 0.999238I
a = −0.19425 − 1.59774I
b = 0.388374 − 1.012770I
−1.51699 − 4.68944I 0
u = −0.528201 − 0.999238I
a = −0.19425 + 1.59774I
b = 0.388374 + 1.012770I
−1.51699 + 4.68944I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.638750 + 0.582865I
a = 0.814828 + 0.739374I
b = −0.289334 + 0.388871I
1.56860 + 1.91000I 0
u = 0.638750 − 0.582865I
a = 0.814828 − 0.739374I
b = −0.289334 − 0.388871I
1.56860 − 1.91000I 0
u = −0.721937 + 0.473511I
a = −0.455318 − 1.317190I
b = 0.581524 − 1.284450I
0.48072 − 6.90966I 0
u = −0.721937 − 0.473511I
a = −0.455318 + 1.317190I
b = 0.581524 + 1.284450I
0.48072 + 6.90966I 0
u = 0.414790 + 0.756611I
a = −0.472518 + 0.338296I
b = −1.066210 + 0.353597I
3.66257 + 9.07043I 0
u = 0.414790 − 0.756611I
a = −0.472518 − 0.338296I
b = −1.066210 − 0.353597I
3.66257 − 9.07043I 0
u = 0.956897 + 0.615982I
a = −0.089603 + 0.314750I
b = −0.529731 + 0.880357I
2.75523 − 0.19630I 0
u = 0.956897 − 0.615982I
a = −0.089603 − 0.314750I
b = −0.529731 − 0.880357I
2.75523 + 0.19630I 0
u = −0.411723 + 0.748664I
a = 0.43991 + 2.19502I
b = −0.515799 + 1.108660I
−2.52177 − 9.07559I 0
u = −0.411723 − 0.748664I
a = 0.43991 − 2.19502I
b = −0.515799 − 1.108660I
−2.52177 + 9.07559I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.400836 + 1.077030I
a = 0.37746 − 1.40274I
b = −0.564630 − 0.986860I
0.56231 + 6.26018I 0
u = 0.400836 − 1.077030I
a = 0.37746 + 1.40274I
b = −0.564630 + 0.986860I
0.56231 − 6.26018I 0
u = 0.564617 + 0.634758I
a = 0.52541 − 1.89259I
b = −0.595660 − 0.351204I
4.28308 − 4.47208I 0
u = 0.564617 − 0.634758I
a = 0.52541 + 1.89259I
b = −0.595660 + 0.351204I
4.28308 + 4.47208I 0
u = 1.162030 + 0.179115I
a = 1.067080 − 0.683283I
b = 0.029357 − 0.888191I
1.055130 + 0.194599I 0
u = 1.162030 − 0.179115I
a = 1.067080 + 0.683283I
b = 0.029357 + 0.888191I
1.055130 − 0.194599I 0
u = −1.153970 + 0.230467I
a = 0.045014 − 0.836283I
b = 0.201484 − 1.114320I
1.80742 − 4.76661I 0
u = −1.153970 − 0.230467I
a = 0.045014 + 0.836283I
b = 0.201484 + 1.114320I
1.80742 + 4.76661I 0
u = 1.030560 + 0.574716I
a = 1.21600 − 1.14196I
b = −0.620859 − 0.793677I
3.09533 + 4.35647I 0
u = 1.030560 − 0.574716I
a = 1.21600 + 1.14196I
b = −0.620859 + 0.793677I
3.09533 − 4.35647I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.722581 + 0.380203I
a = −1.03917 − 1.19458I
b = −0.400454 − 0.823490I
−1.63826 + 4.76979I 0
u = −0.722581 − 0.380203I
a = −1.03917 + 1.19458I
b = −0.400454 + 0.823490I
−1.63826 − 4.76979I 0
u = −0.136279 + 0.782606I
a = 0.312504 + 1.346250I
b = −0.318155 + 0.828940I
−1.31506 + 1.03769I 0
u = −0.136279 − 0.782606I
a = 0.312504 − 1.346250I
b = −0.318155 − 0.828940I
−1.31506 − 1.03769I 0
u = 0.850317 + 0.864003I
a = −0.518250 + 0.783787I
b = −0.549421 + 1.113070I
2.05790 − 9.12170I 0
u = 0.850317 − 0.864003I
a = −0.518250 − 0.783787I
b = −0.549421 − 1.113070I
2.05790 + 9.12170I 0
u = −1.210660 + 0.081806I
a = −0.24605 − 1.62594I
b = 0.42389 − 1.37878I
0.86122 − 6.29681I 0
u = −1.210660 − 0.081806I
a = −0.24605 + 1.62594I
b = 0.42389 + 1.37878I
0.86122 + 6.29681I 0
u = 0.454232 + 0.625845I
a = 1.44301 − 0.82043I
b = 0.121314 − 0.823882I
−0.600113 + 1.209260I 0
u = 0.454232 − 0.625845I
a = 1.44301 + 0.82043I
b = 0.121314 + 0.823882I
−0.600113 − 1.209260I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.371163 + 0.677094I
a = 0.947785 + 1.026760I
b = 0.671300 + 1.092560I
1.42108 + 2.82655I 0
u = −0.371163 − 0.677094I
a = 0.947785 − 1.026760I
b = 0.671300 − 1.092560I
1.42108 − 2.82655I 0
u = −0.858849 + 0.905931I
a = 0.383528 + 0.894239I
b = 0.296817 + 0.800963I
−0.61365 − 1.80334I 0
u = −0.858849 − 0.905931I
a = 0.383528 − 0.894239I
b = 0.296817 − 0.800963I
−0.61365 + 1.80334I 0
u = −0.551113 + 0.504840I
a = −0.546386 + 0.093186I
b = −0.617600 − 0.232784I
−0.09662 − 4.64291I 0
u = −0.551113 − 0.504840I
a = −0.546386 − 0.093186I
b = −0.617600 + 0.232784I
−0.09662 + 4.64291I 0
u = −0.408274 + 0.614483I
a = −0.74827 − 2.25429I
b = 0.71594 − 1.23111I
1.58655 − 6.66027I 0
u = −0.408274 − 0.614483I
a = −0.74827 + 2.25429I
b = 0.71594 + 1.23111I
1.58655 + 6.66027I 0
u = 1.227840 + 0.352016I
a = 1.040870 − 0.350463I
b = −0.307789 − 1.262900I
0.525800 − 0.977489I 0
u = 1.227840 − 0.352016I
a = 1.040870 + 0.350463I
b = −0.307789 + 1.262900I
0.525800 + 0.977489I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.019675 + 0.715420I
a = 0.54348 + 1.86853I
b = −0.02084 + 1.47937I
−3.34625 + 4.87878I 0
u = −0.019675 − 0.715420I
a = 0.54348 − 1.86853I
b = −0.02084 − 1.47937I
−3.34625 − 4.87878I 0
u = −1.291310 + 0.029784I
a = −0.379499 − 0.246496I
b = 1.60211 − 0.00566I
7.30726 − 0.73701I 0
u = −1.291310 − 0.029784I
a = −0.379499 + 0.246496I
b = 1.60211 + 0.00566I
7.30726 + 0.73701I 0
u = 0.022301 + 0.703115I
a = 0.79751 + 2.18010I
b = 0.339751 + 1.119380I
−2.28791 + 3.07987I 0
u = 0.022301 − 0.703115I
a = 0.79751 − 2.18010I
b = 0.339751 − 1.119380I
−2.28791 − 3.07987I 0
u = −1.284890 + 0.205283I
a = −0.430504 − 0.817113I
b = 0.23389 − 1.68704I
0.48722 − 8.11144I 0
u = −1.284890 − 0.205283I
a = −0.430504 + 0.817113I
b = 0.23389 + 1.68704I
0.48722 + 8.11144I 0
u = −1.283800 + 0.221289I
a = −0.782575 − 0.927549I
b = 0.78429 − 1.17981I
3.97453 − 5.44709I 0
u = −1.283800 − 0.221289I
a = −0.782575 + 0.927549I
b = 0.78429 + 1.17981I
3.97453 + 5.44709I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.314770 + 0.077694I
a = 0.77067 − 1.68076I
b = 0.004316 − 1.185900I
0.067288 + 1.080550I 0
u = 1.314770 − 0.077694I
a = 0.77067 + 1.68076I
b = 0.004316 + 1.185900I
0.067288 − 1.080550I 0
u = 1.095250 + 0.735475I
a = 0.719596 − 0.756499I
b = −0.041103 − 1.003400I
−0.19776 + 3.09810I 0
u = 1.095250 − 0.735475I
a = 0.719596 + 0.756499I
b = −0.041103 + 1.003400I
−0.19776 − 3.09810I 0
u = −1.318980 + 0.035231I
a = 0.00139720 − 0.00797920I
b = 1.109680 + 0.362951I
6.39638 + 1.30516I 0
u = −1.318980 − 0.035231I
a = 0.00139720 + 0.00797920I
b = 1.109680 − 0.362951I
6.39638 − 1.30516I 0
u = 1.321030 + 0.059859I
a = −2.55640 − 0.32526I
b = 0.325584 − 0.575208I
6.92869 + 5.31563I 0
u = 1.321030 − 0.059859I
a = −2.55640 + 0.32526I
b = 0.325584 + 0.575208I
6.92869 − 5.31563I 0
u = −1.332590 + 0.078140I
a = 1.282100 + 0.157203I
b = −0.908274 + 0.830569I
1.88414 − 6.30321I 0
u = −1.332590 − 0.078140I
a = 1.282100 − 0.157203I
b = −0.908274 − 0.830569I
1.88414 + 6.30321I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.298718 + 0.589731I
a = −0.01885 + 1.66110I
b = 0.402194 + 1.065340I
−1.03327 + 2.63979I 0
u = 0.298718 − 0.589731I
a = −0.01885 − 1.66110I
b = 0.402194 − 1.065340I
−1.03327 − 2.63979I 0
u = 1.338920 + 0.057220I
a = −0.098082 + 0.936959I
b = −0.18981 + 1.48523I
0.63136 + 2.46814I 0
u = 1.338920 − 0.057220I
a = −0.098082 − 0.936959I
b = −0.18981 − 1.48523I
0.63136 − 2.46814I 0
u = −1.337850 + 0.154218I
a = −0.820299 − 0.851912I
b = 0.75951 − 1.21647I
4.02258 − 5.41832I 0
u = −1.337850 − 0.154218I
a = −0.820299 + 0.851912I
b = 0.75951 + 1.21647I
4.02258 + 5.41832I 0
u = −0.466896 + 0.455188I
a = 1.75758 + 2.07227I
b = −0.144834 + 0.967416I
−4.39473 − 0.09566I 0
u = −0.466896 − 0.455188I
a = 1.75758 − 2.07227I
b = −0.144834 − 0.967416I
−4.39473 + 0.09566I 0
u = −1.370540 + 0.066014I
a = 1.128630 + 0.118563I
b = −0.681412 + 1.057000I
0.902932 + 0.200404I 0
u = −1.370540 − 0.066014I
a = 1.128630 − 0.118563I
b = −0.681412 − 1.057000I
0.902932 − 0.200404I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.177538 + 0.600671I
a = 0.30217 − 1.90024I
b = 0.867301 − 0.346693I
3.51690 − 2.84292I 0
u = −0.177538 − 0.600671I
a = 0.30217 + 1.90024I
b = 0.867301 + 0.346693I
3.51690 + 2.84292I 0
u = −1.378330 + 0.074768I
a = −2.08571 − 0.10656I
b = 0.364320 − 0.907084I
0.40706 − 1.50294I 0
u = −1.378330 − 0.074768I
a = −2.08571 + 0.10656I
b = 0.364320 + 0.907084I
0.40706 + 1.50294I 0
u = 1.388500 + 0.051731I
a = −1.116240 − 0.730545I
b = 0.713806 − 1.052560I
7.10758 + 0.01309I 0
u = 1.388500 − 0.051731I
a = −1.116240 + 0.730545I
b = 0.713806 + 1.052560I
7.10758 − 0.01309I 0
u = −1.350030 + 0.357793I
a = −0.683759 − 1.067420I
b = 0.56717 − 1.40892I
1.84585 − 7.37591I 0
u = −1.350030 − 0.357793I
a = −0.683759 + 1.067420I
b = 0.56717 + 1.40892I
1.84585 + 7.37591I 0
u = −1.400070 + 0.052677I
a = −0.233145 − 0.040223I
b = 1.173810 − 0.234102I
6.88923 − 1.28555I 0
u = −1.400070 − 0.052677I
a = −0.233145 + 0.040223I
b = 1.173810 + 0.234102I
6.88923 + 1.28555I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.370970 + 0.305438I
a = −0.96432 + 1.48794I
b = 0.728868 + 0.665527I
8.32683 + 6.27843I 0
u = 1.370970 − 0.305438I
a = −0.96432 − 1.48794I
b = 0.728868 − 0.665527I
8.32683 − 6.27843I 0
u = −0.565622 + 0.128512I
a = 0.190594 + 0.337028I
b = 0.579153 − 0.884869I
1.70519 − 4.26840I 0
u = −0.565622 − 0.128512I
a = 0.190594 − 0.337028I
b = 0.579153 + 0.884869I
1.70519 + 4.26840I 0
u = −0.191983 + 0.525498I
a = 0.250650 + 0.740430I
b = −0.248514 + 0.348960I
−1.09960 + 1.08757I 0
u = −0.191983 − 0.525498I
a = 0.250650 − 0.740430I
b = −0.248514 − 0.348960I
−1.09960 − 1.08757I 0
u = 1.43107 + 0.17304I
a = −0.420519 + 0.575180I
b = 1.34660 − 0.56614I
10.13580 + 2.21608I 0
u = 1.43107 − 0.17304I
a = −0.420519 − 0.575180I
b = 1.34660 + 0.56614I
10.13580 − 2.21608I 0
u = −0.292413 + 0.473691I
a = −0.45016 − 1.92160I
b = −0.609628 − 0.857502I
−1.75464 + 4.92023I −5.37026 − 7.32741I
u = −0.292413 − 0.473691I
a = −0.45016 + 1.92160I
b = −0.609628 + 0.857502I
−1.75464 − 4.92023I −5.37026 + 7.32741I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.351358 + 0.412823I
a = 0.742839 − 0.514320I
b = 1.242720 + 0.342769I
4.40556 + 0.06208I 11.82669 + 0.I
u = −0.351358 − 0.412823I
a = 0.742839 + 0.514320I
b = 1.242720 − 0.342769I
4.40556 − 0.06208I 11.82669 + 0.I
u = 1.46796
a = 0.426301
b = −0.336778
3.87262 0
u = −1.45094 + 0.24308I
a = 1.213200 + 0.280376I
b = −0.039614 + 0.583269I
5.46874 − 4.46278I 0
u = −1.45094 − 0.24308I
a = 1.213200 − 0.280376I
b = −0.039614 − 0.583269I
5.46874 + 4.46278I 0
u = 0.501253 + 0.154163I
a = 0.816710 + 0.156869I
b = 0.407850 + 0.201888I
1.080960 + 0.623121I 6.75127 − 1.70339I
u = 0.501253 − 0.154163I
a = 0.816710 − 0.156869I
b = 0.407850 − 0.201888I
1.080960 − 0.623121I 6.75127 + 1.70339I
u = 1.47269 + 0.10716I
a = −0.403418 − 0.070648I
b = 1.36521 − 0.58544I
10.23810 + 1.97905I 0
u = 1.47269 − 0.10716I
a = −0.403418 + 0.070648I
b = 1.36521 + 0.58544I
10.23810 − 1.97905I 0
u = 1.47339 + 0.14681I
a = −1.50065 − 0.09515I
b = 0.490174 + 1.124370I
4.83410 + 8.94728I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.47339 − 0.14681I
a = −1.50065 + 0.09515I
b = 0.490174 − 1.124370I
4.83410 − 8.94728I 0
u = 1.46345 + 0.23430I
a = −1.31836 + 1.03633I
b = 0.81534 + 1.28944I
7.62959 + 9.80409I 0
u = 1.46345 − 0.23430I
a = −1.31836 − 1.03633I
b = 0.81534 − 1.28944I
7.62959 − 9.80409I 0
u = −0.362663 + 0.350323I
a = −2.81206 − 0.77285I
b = 0.404377 − 1.286590I
−1.25845 − 6.99954I −4.17211 + 13.42945I
u = −0.362663 − 0.350323I
a = −2.81206 + 0.77285I
b = 0.404377 + 1.286590I
−1.25845 + 6.99954I −4.17211 − 13.42945I
u = 0.500156 + 0.015550I
a = 4.95931 + 0.73632I
b = −0.320466 + 0.517218I
3.71284 − 4.66487I 9.0118 + 12.8913I
u = 0.500156 − 0.015550I
a = 4.95931 − 0.73632I
b = −0.320466 − 0.517218I
3.71284 + 4.66487I 9.0118 − 12.8913I
u = 1.49467 + 0.17066I
a = 0.155240 − 0.269531I
b = −0.987357 + 0.238390I
6.54604 + 7.10323I 0
u = 1.49467 − 0.17066I
a = 0.155240 + 0.269531I
b = −0.987357 − 0.238390I
6.54604 − 7.10323I 0
u = 1.48836 + 0.24626I
a = 0.170102 + 0.130987I
b = 0.754556 − 0.929982I
7.53675 + 0.62630I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.48836 − 0.24626I
a = 0.170102 − 0.130987I
b = 0.754556 + 0.929982I
7.53675 − 0.62630I 0
u = −1.48460 + 0.28531I
a = 0.169242 + 0.267085I
b = −1.242400 − 0.517460I
9.7977 − 12.8826I 0
u = −1.48460 − 0.28531I
a = 0.169242 − 0.267085I
b = −1.242400 + 0.517460I
9.7977 + 12.8826I 0
u = 1.48688 + 0.27880I
a = 1.05542 − 1.19823I
b = −0.618520 − 1.212020I
3.63215 + 12.83220I 0
u = 1.48688 − 0.27880I
a = 1.05542 + 1.19823I
b = −0.618520 + 1.212020I
3.63215 − 12.83220I 0
u = −1.50770 + 0.14571I
a = 1.31015 + 1.42006I
b = −0.444311 + 0.972515I
10.70290 − 6.10955I 0
u = −1.50770 − 0.14571I
a = 1.31015 − 1.42006I
b = −0.444311 − 0.972515I
10.70290 + 6.10955I 0
u = −1.51216 + 0.28226I
a = 0.340649 + 0.038337I
b = −0.849876 − 0.578465I
8.38285 − 5.76284I 0
u = −1.51216 − 0.28226I
a = 0.340649 − 0.038337I
b = −0.849876 + 0.578465I
8.38285 + 5.76284I 0
u = 1.54088 + 0.11850I
a = −0.353609 − 0.161222I
b = 0.729254 + 0.456350I
8.79398 + 5.60217I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54088 − 0.11850I
a = −0.353609 + 0.161222I
b = 0.729254 − 0.456350I
8.79398 − 5.60217I 0
u = −1.53819 + 0.18668I
a = 0.78477 + 1.26639I
b = −0.513190 + 0.858403I
11.29140 + 1.39396I 0
u = −1.53819 − 0.18668I
a = 0.78477 − 1.26639I
b = −0.513190 − 0.858403I
11.29140 − 1.39396I 0
u = 1.50952 + 0.37884I
a = 0.921714 − 0.899533I
b = −0.593164 − 0.934675I
3.85643 + 3.57895I 0
u = 1.50952 − 0.37884I
a = 0.921714 + 0.899533I
b = −0.593164 + 0.934675I
3.85643 − 3.57895I 0
u = 1.55341 + 0.20323I
a = −0.743180 + 0.640639I
b = 0.83808 + 1.26385I
7.89314 + 9.65549I 0
u = 1.55341 − 0.20323I
a = −0.743180 − 0.640639I
b = 0.83808 − 1.26385I
7.89314 − 9.65549I 0
u = −1.53059 + 0.35669I
a = 1.02882 + 1.03461I
b = −0.77526 + 1.25094I
7.3822 − 19.9850I 0
u = −1.53059 − 0.35669I
a = 1.02882 − 1.03461I
b = −0.77526 − 1.25094I
7.3822 + 19.9850I 0
u = 1.54654 + 0.34681I
a = −0.706708 + 1.118290I
b = 0.525601 + 1.187570I
5.18187 + 9.52844I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54654 − 0.34681I
a = −0.706708 − 1.118290I
b = 0.525601 − 1.187570I
5.18187 − 9.52844I 0
u = −1.54209 + 0.38476I
a = 0.993573 + 0.923596I
b = −0.683229 + 1.069820I
6.87908 − 11.47640I 0
u = −1.54209 − 0.38476I
a = 0.993573 − 0.923596I
b = −0.683229 − 1.069820I
6.87908 + 11.47640I 0
u = −0.338812 + 0.163818I
a = −0.221109 + 0.640892I
b = 1.241800 + 0.228531I
4.12538 − 0.72845I 23.1595 + 2.5796I
u = −0.338812 − 0.163818I
a = −0.221109 − 0.640892I
b = 1.241800 − 0.228531I
4.12538 + 0.72845I 23.1595 − 2.5796I
u = −1.63468 + 0.11838I
a = 0.219364 + 0.296757I
b = −0.465733 − 0.717038I
11.55050 − 2.34092I 0
u = −1.63468 − 0.11838I
a = 0.219364 − 0.296757I
b = −0.465733 + 0.717038I
11.55050 + 2.34092I 0
u = 1.62343 + 0.22757I
a = 0.385744 + 0.224945I
b = −0.584740 + 0.761048I
4.41907 − 1.12604I 0
u = 1.62343 − 0.22757I
a = 0.385744 − 0.224945I
b = −0.584740 − 0.761048I
4.41907 + 1.12604I 0
u = 1.64649 + 0.17516I
a = −0.045299 − 0.166825I
b = 0.253111 − 0.395959I
8.10119 + 5.59287I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.64649 − 0.17516I
a = −0.045299 + 0.166825I
b = 0.253111 + 0.395959I
8.10119 − 5.59287I 0
u = −0.022925 + 0.287765I
a = −2.00999 + 7.06978I
b = 0.114216 + 0.998923I
−4.15566 + 0.36214I −11.07078 + 3.27158I
u = −0.022925 − 0.287765I
a = −2.00999 − 7.06978I
b = 0.114216 − 0.998923I
−4.15566 − 0.36214I −11.07078 − 3.27158I
u = −1.72244 + 0.09815I
a = 0.131144 − 0.104566I
b = −0.455987 − 0.840080I
11.38150 + 5.35929I 0
u = −1.72244 − 0.09815I
a = 0.131144 + 0.104566I
b = −0.455987 + 0.840080I
11.38150 − 5.35929I 0
u = 0.005886 + 0.272803I
a = 1.73695 − 3.51245I
b = −0.355338 − 1.178860I
−3.63512 − 1.30843I −3.60876 − 1.31626I
u = 0.005886 − 0.272803I
a = 1.73695 + 3.51245I
b = −0.355338 + 1.178860I
−3.63512 + 1.30843I −3.60876 + 1.31626I
u = −0.022402 + 0.198160I
a = −2.35093 − 3.33822I
b = 0.701447 + 0.648221I
2.36703 + 0.79844I 7.52249 − 4.73450I
u = −0.022402 − 0.198160I
a = −2.35093 + 3.33822I
b = 0.701447 − 0.648221I
2.36703 − 0.79844I 7.52249 + 4.73450I
20
II.
I
u
2
= h−3.16×10
25
u
45
−2.37×10
25
u
44
+· · ·+1.75×10
25
b−3.56×10
26
, 4.07×
10
26
u
45
+3.58×10
26
u
44
+· · ·+5.25×10
25
a+1.16×10
27
, u
46
+2u
45
+· · ·+7u+3i
(i) Arc colorings
a
5
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
6
=
u
−u
3
+ u
a
1
=
−u
2
+ 1
u
4
− 2u
2
a
8
=
−7.75199u
45
− 6.81899u
44
+ ··· − 35.7653u − 22.1631
1.80751u
45
+ 1.35256u
44
+ ··· + 11.1428u + 20.3341
a
7
=
−9.55950u
45
− 8.17155u
44
+ ··· − 46.9081u − 42.4972
1.80751u
45
+ 1.35256u
44
+ ··· + 11.1428u + 20.3341
a
10
=
−4.54914u
45
− 10.2767u
44
+ ··· + 3.92663u − 16.0517
16.6483u
45
+ 18.1889u
44
+ ··· + 34.5268u + 38.0811
a
4
=
3.29260u
45
− 4.41779u
44
+ ··· + 45.6946u + 7.95029
26.5208u
45
+ 23.7564u
44
+ ··· + 102.261u + 82.8852
a
2
=
−5.46831u
45
− 9.79680u
44
+ ··· + 18.9714u + 6.41329
−14.5791u
45
− 14.4153u
44
+ ··· − 58.8212u − 52.5172
a
3
=
−0.767207u
45
− 0.903238u
44
+ ··· + 16.4051u + 15.6355
−5.37130u
45
− 7.73599u
44
+ ··· − 22.0249u − 23.4241
a
9
=
−10.2367u
45
− 15.4569u
44
+ ··· − 10.4014u − 26.5922
9.31305u
45
+ 9.43479u
44
+ ··· + 24.4907u + 26.3369
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1116350096426018096474073229
17499098208330478469190427
u
45
+
663842312055933762056890148
17499098208330478469190427
u
44
+
··· +
4716754110200640029077974813
17499098208330478469190427
u +
2113567251442527480219668679
17499098208330478469190427
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
46
− 6u
45
+ ··· + 3u
2
+ 1
c
2
u
46
+ 4u
45
+ ··· + 2u + 1
c
3
u
46
+ 5u
44
+ ··· − u
2
+ 1
c
4
u
46
+ 9u
44
+ ··· − 5u + 37
c
5
u
46
− 2u
45
+ ··· − 7u + 3
c
6
u
46
− 4u
45
+ ··· − 2u + 1
c
7
u
46
+ 13u
45
+ ··· + 7u + 1
c
8
u
46
− 8u
44
+ ··· + 29u + 21
c
9
u
46
− 2u
45
+ ··· − 11u
2
+ 1
c
10
u
46
− 13u
45
+ ··· − 7u + 1
c
11
, c
12
u
46
+ 2u
45
+ ··· + 7u + 3
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
− 4y
45
+ ··· + 6y + 1
c
2
, c
6
y
46
+ 26y
45
+ ··· + 36y + 1
c
3
y
46
+ 10y
45
+ ··· − 2y + 1
c
4
y
46
+ 18y
45
+ ··· + 5821y + 1369
c
5
, c
11
, c
12
y
46
− 50y
45
+ ··· − 229y + 9
c
7
, c
10
y
46
+ 19y
45
+ ··· + 45y + 1
c
8
y
46
− 16y
45
+ ··· + 2057y + 441
c
9
y
46
− 12y
45
+ ··· − 22y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.251827 + 0.908109I
a = 0.20061 + 1.62861I
b = 0.177810 + 1.204600I
−2.70915 + 3.16187I 0. − 11.70551I
u = 0.251827 − 0.908109I
a = 0.20061 − 1.62861I
b = 0.177810 − 1.204600I
−2.70915 − 3.16187I 0. + 11.70551I
u = −0.461403 + 0.770237I
a = −0.53163 − 1.45969I
b = 0.562847 − 1.067530I
0.25802 − 5.64989I 2.00000 + 5.24555I
u = −0.461403 − 0.770237I
a = −0.53163 + 1.45969I
b = 0.562847 + 1.067530I
0.25802 + 5.64989I 2.00000 − 5.24555I
u = 0.804750 + 0.279776I
a = −0.56379 + 1.34351I
b = −0.210539 + 1.041060I
−2.67306 + 1.99398I 1.37428 − 0.82708I
u = 0.804750 − 0.279776I
a = −0.56379 − 1.34351I
b = −0.210539 − 1.041060I
−2.67306 − 1.99398I 1.37428 + 0.82708I
u = −0.818965 + 0.813785I
a = −0.085041 + 1.063690I
b = 0.428297 + 0.682608I
1.75315 − 1.54371I 0
u = −0.818965 − 0.813785I
a = −0.085041 − 1.063690I
b = 0.428297 − 0.682608I
1.75315 + 1.54371I 0
u = 1.179940 + 0.090567I
a = 1.39121 − 0.28601I
b = −0.875975 − 0.808574I
0.81036 + 5.98093I 0
u = 1.179940 − 0.090567I
a = 1.39121 + 0.28601I
b = −0.875975 + 0.808574I
0.81036 − 5.98093I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.216110 + 0.140572I
a = 1.092000 − 0.350167I
b = −0.462289 − 1.168540I
−0.824269 − 0.316586I 0
u = 1.216110 − 0.140572I
a = 1.092000 + 0.350167I
b = −0.462289 + 1.168540I
−0.824269 + 0.316586I 0
u = 0.905822 + 0.823807I
a = 0.661209 − 0.874257I
b = 0.010054 − 0.850242I
−1.07932 + 2.70676I 0
u = 0.905822 − 0.823807I
a = 0.661209 + 0.874257I
b = 0.010054 + 0.850242I
−1.07932 − 2.70676I 0
u = −1.235550 + 0.049193I
a = 0.204097 − 1.282690I
b = 0.39285 − 1.47419I
1.42470 − 6.59663I 0
u = −1.235550 − 0.049193I
a = 0.204097 + 1.282690I
b = 0.39285 + 1.47419I
1.42470 + 6.59663I 0
u = −1.291290 + 0.070230I
a = −0.275179 − 0.219496I
b = 1.62590 + 0.04442I
7.46631 − 0.28005I 0
u = −1.291290 − 0.070230I
a = −0.275179 + 0.219496I
b = 1.62590 − 0.04442I
7.46631 + 0.28005I 0
u = 1.298140 + 0.069796I
a = 1.67461 − 1.07609I
b = −0.061800 − 1.035020I
−0.406107 + 0.268496I 0
u = 1.298140 − 0.069796I
a = 1.67461 + 1.07609I
b = −0.061800 + 1.035020I
−0.406107 − 0.268496I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.310450 + 0.156888I
a = 2.57763 + 0.78410I
b = −0.201881 + 0.517890I
6.74260 − 6.09926I 0
u = −1.310450 − 0.156888I
a = 2.57763 − 0.78410I
b = −0.201881 − 0.517890I
6.74260 + 6.09926I 0
u = 0.638347 + 0.133605I
a = −1.06576 + 1.03665I
b = −0.539488 + 0.731789I
−1.14174 − 5.08006I 9.37272 + 9.36027I
u = 0.638347 − 0.133605I
a = −1.06576 − 1.03665I
b = −0.539488 − 0.731789I
−1.14174 + 5.08006I 9.37272 − 9.36027I
u = −0.624222 + 0.007950I
a = −0.954029 − 0.008395I
b = 0.396731 + 1.338910I
−0.92068 + 6.24523I 0.17378 − 4.70056I
u = −0.624222 − 0.007950I
a = −0.954029 + 0.008395I
b = 0.396731 − 1.338910I
−0.92068 − 6.24523I 0.17378 + 4.70056I
u = −1.333270 + 0.355858I
a = −0.622675 − 1.029750I
b = 0.53989 − 1.46657I
2.08018 − 7.66208I 0
u = −1.333270 − 0.355858I
a = −0.622675 + 1.029750I
b = 0.53989 + 1.46657I
2.08018 + 7.66208I 0
u = −1.319520 + 0.454633I
a = −0.923807 − 0.906759I
b = 0.681026 − 0.908786I
3.59666 − 4.02448I 0
u = −1.319520 − 0.454633I
a = −0.923807 + 0.906759I
b = 0.681026 + 0.908786I
3.59666 + 4.02448I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44521 + 0.13696I
a = −0.484944 + 0.261687I
b = 1.277430 − 0.501237I
9.44453 + 2.36823I 0
u = 1.44521 − 0.13696I
a = −0.484944 − 0.261687I
b = 1.277430 + 0.501237I
9.44453 − 2.36823I 0
u = −0.401011 + 0.293648I
a = −4.11598 − 3.56165I
b = −0.042732 − 0.503196I
3.46832 + 4.37198I −5.31117 + 2.96706I
u = −0.401011 − 0.293648I
a = −4.11598 + 3.56165I
b = −0.042732 + 0.503196I
3.46832 − 4.37198I −5.31117 − 2.96706I
u = 1.51156 + 0.23961I
a = −1.047540 + 0.807868I
b = 0.716398 + 1.198340I
6.93784 + 9.13063I 0
u = 1.51156 − 0.23961I
a = −1.047540 − 0.807868I
b = 0.716398 − 1.198340I
6.93784 − 9.13063I 0
u = −1.54723 + 0.20961I
a = −0.311292 + 0.179594I
b = 0.601143 + 0.728508I
4.24537 + 1.07686I 0
u = −1.54723 − 0.20961I
a = −0.311292 − 0.179594I
b = 0.601143 − 0.728508I
4.24537 − 1.07686I 0
u = 1.61893 + 0.02327I
a = −0.743513 − 0.046836I
b = 0.143217 − 0.334092I
11.24770 + 3.58570I 0
u = 1.61893 − 0.02327I
a = −0.743513 + 0.046836I
b = 0.143217 + 0.334092I
11.24770 − 3.58570I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.311703 + 0.202329I
a = −4.68389 + 2.51116I
b = 0.153490 + 0.922949I
−3.86723 + 0.66458I 4.97144 − 11.90794I
u = 0.311703 − 0.202329I
a = −4.68389 − 2.51116I
b = 0.153490 − 0.922949I
−3.86723 − 0.66458I 4.97144 + 11.90794I
u = −1.64321 + 0.13971I
a = 0.237599 + 0.075650I
b = −0.117497 + 0.459227I
7.89465 − 5.92482I 0
u = −1.64321 − 0.13971I
a = 0.237599 − 0.075650I
b = −0.117497 − 0.459227I
7.89465 + 5.92482I 0
u = −0.196214 + 0.251213I
a = 0.036764 − 0.948542I
b = 1.305120 + 0.158730I
3.82381 − 0.78722I −3.78166 + 8.80985I
u = −0.196214 − 0.251213I
a = 0.036764 + 0.948542I
b = 1.305120 − 0.158730I
3.82381 + 0.78722I −3.78166 − 8.80985I
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 6u
45
+ ··· + 3u
2
+ 1)(u
159
− 11u
158
+ ··· − 43u + 11)
c
2
(u
46
+ 4u
45
+ ··· + 2u + 1)(u
159
− 3u
158
+ ··· − 71881u − 10679)
c
3
(u
46
+ 5u
44
+ ··· − u
2
+ 1)(u
159
+ u
158
+ ··· + 527u − 25)
c
4
(u
46
+ 9u
44
+ ··· − 5u + 37)
· (u
159
− u
158
+ ··· + 46182518u − 10020811)
c
5
(u
46
− 2u
45
+ ··· − 7u + 3)(u
159
− u
158
+ ··· − 2628u − 193)
c
6
(u
46
− 4u
45
+ ··· − 2u + 1)(u
159
− 3u
158
+ ··· − 71881u − 10679)
c
7
(u
46
+ 13u
45
+ ··· + 7u + 1)(u
159
− 12u
158
+ ··· + 53726u + 16181)
c
8
(u
46
− 8u
44
+ ··· + 29u + 21)
· (u
159
− u
158
+ ··· − 8791546u − 1048243)
c
9
(u
46
− 2u
45
+ ··· − 11u
2
+ 1)(u
159
− 5u
158
+ ··· − 16779u + 1957)
c
10
(u
46
− 13u
45
+ ··· − 7u + 1)(u
159
− 12u
158
+ ··· + 53726u + 16181)
c
11
, c
12
(u
46
+ 2u
45
+ ··· + 7u + 3)(u
159
− u
158
+ ··· − 2628u − 193)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
− 4y
45
+ ··· + 6y + 1)(y
159
+ 7y
158
+ ··· − 6709y −121)
c
2
, c
6
(y
46
+ 26y
45
+ ··· + 36y + 1)
· (y
159
+ 97y
158
+ ··· − 5702976927y −114041041)
c
3
(y
46
+ 10y
45
+ ··· − 2y + 1)(y
159
+ 17y
158
+ ··· − 58921y −625)
c
4
(y
46
+ 18y
45
+ ··· + 5821y + 1369)
· (y
159
− 15y
158
+ ··· + 1162437248935440y −100416653097721)
c
5
, c
11
, c
12
(y
46
− 50y
45
+ ··· − 229y + 9)
· (y
159
− 159y
158
+ ··· − 2425166y −37249)
c
7
, c
10
(y
46
+ 19y
45
+ ··· + 45y + 1)
· (y
159
+ 70y
158
+ ··· − 10616690872y −261824761)
c
8
(y
46
− 16y
45
+ ··· + 2057y + 441)
· (y
159
+ 11y
158
+ ··· − 57826335947932y −1098813387049)
c
9
(y
46
− 12y
45
+ ··· − 22y + 1)
· (y
159
− 21y
158
+ ··· + 100453631y −3829849)
30
