12a
1080
(K12a
1080
)
A knot diagram
1
Linearized knot diagam
4 7 10 12 8 2 11 5 1 3 6 9
Solving Sequence
9,12
1
5,10
4 2 3 8 6 11 7
c
12
c
9
c
4
c
1
c
3
c
8
c
5
c
11
c
7
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h5.71445 × 10
533
u
129
− 2.95703 × 10
534
u
128
+ ··· + 2.15300 × 10
534
b − 3.92705 × 10
534
,
− 7.74014 × 10
535
u
129
+ 3.94800 × 10
536
u
128
+ ··· + 4.30600 × 10
534
a + 6.77807 × 10
536
,
u
130
− 5u
129
+ ··· − 6u − 1i
I
u
2
= h5.03147 × 10
18
u
28
− 3.08387 × 10
19
u
27
+ ··· + 8.43939 × 10
18
b − 1.04843 × 10
19
,
− 1.85005 × 10
19
u
28
+ 1.08812 × 10
20
u
27
+ ··· + 8.43939 × 10
18
a − 3.82188 × 10
19
, u
29
− 7u
28
+ ··· − 5u + 1i
I
u
3
= hb − 1, a, u + 1i
* 3 irreducible components of dim
C
= 0, with total 160 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
= h5.71 × 10
533
u
129
− 2.96 × 10
534
u
128
+ · · · + 2.15 × 10
534
b − 3.93 ×
10
534
, −7.74 × 10
535
u
129
+ 3.95 × 10
536
u
128
+ · · · + 4.31 × 10
534
a + 6.78 ×
10
536
, u
130
− 5u
129
+ · · · − 6u − 1i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
17.9752u
129
− 91.6859u
128
+ ··· + 1038.28u − 157.410
−0.265418u
129
+ 1.37345u
128
+ ··· + 16.6270u + 1.82399
a
10
=
−u
−u
3
+ u
a
4
=
17.7098u
129
− 90.3124u
128
+ ··· + 1054.91u − 155.586
−0.265418u
129
+ 1.37345u
128
+ ··· + 16.6270u + 1.82399
a
2
=
−17.4445u
129
+ 88.8676u
128
+ ··· − 86.8634u + 198.239
0.479324u
129
− 2.38693u
128
+ ··· + 36.7566u − 3.63350
a
3
=
17.6308u
129
− 89.9462u
128
+ ··· + 1047.76u − 153.876
−0.0239336u
129
+ 0.128212u
128
+ ··· + 23.5302u + 0.0849661
a
8
=
9.43611u
129
− 47.7722u
128
+ ··· + 120.382u − 108.498
−1.71518u
129
+ 8.55245u
128
+ ··· − 88.2992u + 17.3088
a
6
=
−10.5939u
129
+ 54.2944u
128
+ ··· − 213.176u + 79.9416
−0.898314u
129
+ 4.70501u
128
+ ··· − 42.6358u + 8.95224
a
11
=
−4.49629u
129
+ 22.7969u
128
+ ··· + 151.904u + 56.6764
1.62019u
129
− 8.33401u
128
+ ··· + 86.2625u − 16.5936
a
7
=
−6.51812u
129
+ 33.3516u
128
+ ··· + 552.533u + 85.7734
0.0695352u
129
− 0.309490u
128
+ ··· + 29.3881u + 0.459493
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.50096u
129
+ 12.6110u
128
+ ··· − 163.450u + 16.2890
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
− 13u
129
+ ··· − 179728050u + 10062098
c
2
, c
6
u
130
− 3u
129
+ ··· + 8779u − 307
c
3
, c
10
u
130
+ 6u
129
+ ··· + 273801u + 6691
c
4
u
130
+ 8u
129
+ ··· − 32651759u − 16964329
c
5
, c
8
u
130
+ 9u
129
+ ··· + 6600u + 218
c
7
u
130
+ 4u
129
+ ··· − 3192063u + 4571051
c
9
, c
12
u
130
− 5u
129
+ ··· − 6u − 1
c
11
u
130
+ 12u
129
+ ··· + 35960u − 90691
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
− 39y
129
+ ··· − 12521051740895800y + 101245816161604
c
2
, c
6
y
130
− 87y
129
+ ··· − 162306321y + 94249
c
3
, c
10
y
130
+ 34y
129
+ ··· − 59906322757y + 44769481
c
4
y
130
− 128y
129
+ ··· − 5434457919023257y + 287788458420241
c
5
, c
8
y
130
+ 111y
129
+ ··· − 8958604y + 47524
c
7
y
130
− 70y
129
+ ··· − 3447337940891247y + 20894507244601
c
9
, c
12
y
130
− 115y
129
+ ··· − 68y + 1
c
11
y
130
− 96y
129
+ ··· + 30998315860y + 8224857481
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00202
a = −0.0616349
b = −8.97342
−3.29193 0
u = −0.073491 + 0.987925I
a = 1.315450 − 0.395938I
b = −0.889853 + 0.641878I
−3.61027 + 7.42880I 0
u = −0.073491 − 0.987925I
a = 1.315450 + 0.395938I
b = −0.889853 − 0.641878I
−3.61027 − 7.42880I 0
u = −0.409840 + 0.896900I
a = 0.883868 − 0.533532I
b = −0.763894 + 0.603595I
−1.69773 + 2.65884I 0
u = −0.409840 − 0.896900I
a = 0.883868 + 0.533532I
b = −0.763894 − 0.603595I
−1.69773 − 2.65884I 0
u = −0.020637 + 0.967032I
a = −0.084685 + 0.964659I
b = −0.375576 − 0.657852I
−0.50407 − 1.50340I 0
u = −0.020637 − 0.967032I
a = −0.084685 − 0.964659I
b = −0.375576 + 0.657852I
−0.50407 + 1.50340I 0
u = −0.129553 + 0.930254I
a = −1.217950 + 0.545282I
b = 0.727114 − 0.502909I
−0.51607 + 3.67076I 0
u = −0.129553 − 0.930254I
a = −1.217950 − 0.545282I
b = 0.727114 + 0.502909I
−0.51607 − 3.67076I 0
u = 0.090422 + 0.924094I
a = 0.069738 − 1.052160I
b = 0.488227 + 0.892671I
−4.45289 − 8.08828I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.090422 − 0.924094I
a = 0.069738 + 1.052160I
b = 0.488227 − 0.892671I
−4.45289 + 8.08828I 0
u = −1.07910
a = −0.316887
b = −0.845615
−1.80194 0
u = −1.083850 + 0.160880I
a = 0.597938 − 0.242020I
b = 0.636688 + 0.640814I
−2.11300 + 0.79916I 0
u = −1.083850 − 0.160880I
a = 0.597938 + 0.242020I
b = 0.636688 − 0.640814I
−2.11300 − 0.79916I 0
u = −0.242844 + 0.845324I
a = −0.995175 + 0.758224I
b = 1.088130 − 0.680843I
−3.62197 + 5.01079I 0
u = −0.242844 − 0.845324I
a = −0.995175 − 0.758224I
b = 1.088130 + 0.680843I
−3.62197 − 5.01079I 0
u = 1.095850 + 0.271330I
a = −0.789504 + 0.483119I
b = −0.658536 − 0.592176I
0.31867 − 3.20607I 0
u = 1.095850 − 0.271330I
a = −0.789504 − 0.483119I
b = −0.658536 + 0.592176I
0.31867 + 3.20607I 0
u = 1.097640 + 0.274588I
a = −0.12884 + 1.41473I
b = −0.658414 − 0.715748I
−2.84987 − 4.21682I 0
u = 1.097640 − 0.274588I
a = −0.12884 − 1.41473I
b = −0.658414 + 0.715748I
−2.84987 + 4.21682I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.119590 + 0.200790I
a = −0.155962 + 1.179580I
b = 2.88822 − 0.94863I
−8.11010 + 0.62872I 0
u = −1.119590 − 0.200790I
a = −0.155962 − 1.179580I
b = 2.88822 + 0.94863I
−8.11010 − 0.62872I 0
u = 1.150330 + 0.007367I
a = 0.572667 − 1.059770I
b = 0.689821 + 0.179403I
−4.77689 + 2.09602I 0
u = 1.150330 − 0.007367I
a = 0.572667 + 1.059770I
b = 0.689821 − 0.179403I
−4.77689 − 2.09602I 0
u = −1.136690 + 0.223145I
a = −0.404583 + 0.204210I
b = −0.237139 + 0.768520I
−2.74861 − 0.75488I 0
u = −1.136690 − 0.223145I
a = −0.404583 − 0.204210I
b = −0.237139 − 0.768520I
−2.74861 + 0.75488I 0
u = 1.18620
a = 1.12730
b = 0.812482
−5.51674 0
u = −1.224080 + 0.092709I
a = −1.06586 + 1.58713I
b = −0.440715 − 0.317754I
−11.92840 + 3.71446I 0
u = −1.224080 − 0.092709I
a = −1.06586 − 1.58713I
b = −0.440715 + 0.317754I
−11.92840 − 3.71446I 0
u = 1.194690 + 0.331291I
a = 0.648812 − 0.429668I
b = 0.921396 + 0.752959I
−2.49703 − 7.75580I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.194690 − 0.331291I
a = 0.648812 + 0.429668I
b = 0.921396 − 0.752959I
−2.49703 + 7.75580I 0
u = −0.030993 + 0.755408I
a = −0.144627 − 0.837090I
b = 0.752383 + 0.319406I
−6.21610 + 3.71666I 0
u = −0.030993 − 0.755408I
a = −0.144627 + 0.837090I
b = 0.752383 − 0.319406I
−6.21610 − 3.71666I 0
u = −1.253630 + 0.015548I
a = 0.384371 − 0.207385I
b = 0.836924 − 0.860718I
−2.67890 + 1.86876I 0
u = −1.253630 − 0.015548I
a = 0.384371 + 0.207385I
b = 0.836924 + 0.860718I
−2.67890 − 1.86876I 0
u = −1.118880 + 0.570219I
a = 0.390866 − 0.720429I
b = −0.934232 − 0.180625I
−6.03411 + 0.01480I 0
u = −1.118880 − 0.570219I
a = 0.390866 + 0.720429I
b = −0.934232 + 0.180625I
−6.03411 − 0.01480I 0
u = −0.194122 + 0.709389I
a = 1.51868 − 0.76656I
b = −1.156460 − 0.029029I
−5.55815 + 2.85770I 0
u = −0.194122 − 0.709389I
a = 1.51868 + 0.76656I
b = −1.156460 + 0.029029I
−5.55815 − 2.85770I 0
u = −1.271440 + 0.012123I
a = 0.335518 + 1.315410I
b = 0.985026 − 0.992068I
−9.42887 + 2.93806I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.271440 − 0.012123I
a = 0.335518 − 1.315410I
b = 0.985026 + 0.992068I
−9.42887 − 2.93806I 0
u = 0.440963 + 1.195240I
a = −0.855898 − 0.678673I
b = 0.871594 + 0.698929I
−8.7020 − 13.0723I 0
u = 0.440963 − 1.195240I
a = −0.855898 + 0.678673I
b = 0.871594 − 0.698929I
−8.7020 + 13.0723I 0
u = −1.249240 + 0.285238I
a = −1.024480 − 0.471633I
b = −0.859403 + 0.184929I
−9.97413 − 0.00960I 0
u = −1.249240 − 0.285238I
a = −1.024480 + 0.471633I
b = −0.859403 − 0.184929I
−9.97413 + 0.00960I 0
u = 0.060570 + 0.706728I
a = 0.269155 − 0.894738I
b = −0.356989 + 0.978877I
0.95733 + 3.92673I 0
u = 0.060570 − 0.706728I
a = 0.269155 + 0.894738I
b = −0.356989 − 0.978877I
0.95733 − 3.92673I 0
u = 0.254318 + 0.660041I
a = −0.224910 + 1.035090I
b = 0.121313 − 0.854569I
2.84269 − 0.32651I 0
u = 0.254318 − 0.660041I
a = −0.224910 − 1.035090I
b = 0.121313 + 0.854569I
2.84269 + 0.32651I 0
u = 1.311880 + 0.020045I
a = 0.012950 − 0.962013I
b = −1.77191 + 1.66222I
−13.9433 − 7.8812I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.311880 − 0.020045I
a = 0.012950 + 0.962013I
b = −1.77191 − 1.66222I
−13.9433 + 7.8812I 0
u = −1.328540 + 0.000938I
a = −0.503466 − 1.139700I
b = −1.279620 + 0.498610I
−14.1933 + 7.5974I 0
u = −1.328540 − 0.000938I
a = −0.503466 + 1.139700I
b = −1.279620 − 0.498610I
−14.1933 − 7.5974I 0
u = 1.334430 + 0.011122I
a = 0.033605 + 0.980534I
b = 1.42537 − 1.26333I
−10.35500 − 2.89604I 0
u = 1.334430 − 0.011122I
a = 0.033605 − 0.980534I
b = 1.42537 + 1.26333I
−10.35500 + 2.89604I 0
u = −1.330320 + 0.170812I
a = 0.079576 + 0.950102I
b = 1.82229 − 1.55223I
−5.94349 + 4.90505I 0
u = −1.330320 − 0.170812I
a = 0.079576 − 0.950102I
b = 1.82229 + 1.55223I
−5.94349 − 4.90505I 0
u = 1.328030 + 0.197054I
a = 0.576524 + 0.293758I
b = 0.864753 + 0.387823I
−5.00318 − 3.21559I 0
u = 1.328030 − 0.197054I
a = 0.576524 − 0.293758I
b = 0.864753 − 0.387823I
−5.00318 + 3.21559I 0
u = −1.281040 + 0.418549I
a = 0.809033 + 0.672759I
b = 0.690595 − 0.535196I
−4.44925 + 6.36446I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.281040 − 0.418549I
a = 0.809033 − 0.672759I
b = 0.690595 + 0.535196I
−4.44925 − 6.36446I 0
u = 1.341430 + 0.190127I
a = −0.827371 − 0.207179I
b = −1.002280 − 0.480499I
−6.40527 − 3.33195I 0
u = 1.341430 − 0.190127I
a = −0.827371 + 0.207179I
b = −1.002280 + 0.480499I
−6.40527 + 3.33195I 0
u = 1.320880 + 0.332965I
a = 0.0018459 + 0.1399580I
b = −1.341270 + 0.332724I
−10.47680 − 7.70288I 0
u = 1.320880 − 0.332965I
a = 0.0018459 − 0.1399580I
b = −1.341270 − 0.332724I
−10.47680 + 7.70288I 0
u = −1.352890 + 0.221980I
a = 0.015406 − 0.853772I
b = −1.26724 + 1.43738I
−5.20381 + 1.63050I 0
u = −1.352890 − 0.221980I
a = 0.015406 + 0.853772I
b = −1.26724 − 1.43738I
−5.20381 − 1.63050I 0
u = −1.354340 + 0.278982I
a = 0.083985 − 0.858763I
b = −1.23852 + 1.09364I
−5.20629 + 1.68465I 0
u = −1.354340 − 0.278982I
a = 0.083985 + 0.858763I
b = −1.23852 − 1.09364I
−5.20629 − 1.68465I 0
u = 1.355230 + 0.288926I
a = 0.158142 − 1.109720I
b = 1.26542 + 0.68333I
−10.43720 − 6.44469I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.355230 − 0.288926I
a = 0.158142 + 1.109720I
b = 1.26542 − 0.68333I
−10.43720 + 6.44469I 0
u = 1.387820 + 0.051455I
a = −0.007288 − 1.052230I
b = −0.58780 + 1.54672I
−14.1274 + 1.4151I 0
u = 1.387820 − 0.051455I
a = −0.007288 + 1.052230I
b = −0.58780 − 1.54672I
−14.1274 − 1.4151I 0
u = −1.336980 + 0.388354I
a = −0.802035 − 0.511974I
b = −0.835602 + 0.664222I
−8.9382 + 12.7310I 0
u = −1.336980 − 0.388354I
a = −0.802035 + 0.511974I
b = −0.835602 − 0.664222I
−8.9382 − 12.7310I 0
u = −0.575430 + 0.191897I
a = −0.75266 + 2.21488I
b = 0.95730 + 1.45363I
−7.66415 + 0.37111I 0
u = −0.575430 − 0.191897I
a = −0.75266 − 2.21488I
b = 0.95730 − 1.45363I
−7.66415 − 0.37111I 0
u = 1.342190 + 0.378213I
a = −0.013183 + 1.071910I
b = −1.41597 − 1.12995I
−5.11178 − 8.25838I 0
u = 1.342190 − 0.378213I
a = −0.013183 − 1.071910I
b = −1.41597 + 1.12995I
−5.11178 + 8.25838I 0
u = 1.338300 + 0.420027I
a = −0.056252 − 1.064140I
b = 1.65777 + 1.17573I
−8.0509 − 12.3800I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.338300 − 0.420027I
a = −0.056252 + 1.064140I
b = 1.65777 − 1.17573I
−8.0509 + 12.3800I 0
u = 1.41920 + 0.02261I
a = −0.053861 + 1.115730I
b = −0.455069 − 0.662436I
−13.99120 − 0.99445I 0
u = 1.41920 − 0.02261I
a = −0.053861 − 1.115730I
b = −0.455069 + 0.662436I
−13.99120 + 0.99445I 0
u = 1.41300 + 0.29459I
a = 0.130921 + 0.119386I
b = 0.810368 − 0.056158I
−5.67729 − 3.56833I 0
u = 1.41300 − 0.29459I
a = 0.130921 − 0.119386I
b = 0.810368 + 0.056158I
−5.67729 + 3.56833I 0
u = 1.40445 + 0.33837I
a = −0.195996 + 0.878968I
b = −1.68456 − 0.82654I
−8.84937 − 9.24827I 0
u = 1.40445 − 0.33837I
a = −0.195996 − 0.878968I
b = −1.68456 + 0.82654I
−8.84937 + 9.24827I 0
u = 0.157642 + 0.516695I
a = −1.74025 − 0.24932I
b = 0.511814 + 0.349407I
−0.530702 + 1.255080I −4.00000 − 3.64281I
u = 0.157642 − 0.516695I
a = −1.74025 + 0.24932I
b = 0.511814 − 0.349407I
−0.530702 − 1.255080I −4.00000 + 3.64281I
u = 0.62953 + 1.33910I
a = 0.632615 + 0.613599I
b = −0.668136 − 0.589000I
−4.04361 − 6.29930I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.62953 − 1.33910I
a = 0.632615 − 0.613599I
b = −0.668136 + 0.589000I
−4.04361 + 6.29930I 0
u = 1.44298 + 0.34787I
a = 0.027603 − 0.837185I
b = 1.63762 + 1.01601I
−7.47543 − 7.09269I 0
u = 1.44298 − 0.34787I
a = 0.027603 + 0.837185I
b = 1.63762 − 1.01601I
−7.47543 + 7.09269I 0
u = −0.020568 + 0.493316I
a = −1.36949 − 0.75216I
b = 0.055730 + 0.980040I
−0.690944 + 0.710546I −5.10637 + 0.I
u = −0.020568 − 0.493316I
a = −1.36949 + 0.75216I
b = 0.055730 − 0.980040I
−0.690944 − 0.710546I −5.10637 + 0.I
u = −0.457274 + 0.129266I
a = 0.50656 − 1.49117I
b = −0.29757 + 1.58838I
0.37812 + 2.22329I −13.8075 − 7.7611I
u = −0.457274 − 0.129266I
a = 0.50656 + 1.49117I
b = −0.29757 − 1.58838I
0.37812 − 2.22329I −13.8075 + 7.7611I
u = 1.42820 + 0.56301I
a = 0.120957 − 0.252680I
b = −0.391763 + 0.619471I
−8.22968 + 2.61869I 0
u = 1.42820 − 0.56301I
a = 0.120957 + 0.252680I
b = −0.391763 − 0.619471I
−8.22968 − 2.61869I 0
u = −0.168264 + 0.425371I
a = 1.28122 + 0.98430I
b = 0.516253 − 1.056420I
−1.67454 + 0.95361I −4.46828 − 0.33846I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.168264 − 0.425371I
a = 1.28122 − 0.98430I
b = 0.516253 + 1.056420I
−1.67454 − 0.95361I −4.46828 + 0.33846I
u = −0.177067 + 0.388181I
a = −0.806616 + 0.298443I
b = −0.104181 + 0.441416I
−0.391409 + 0.990443I −6.94560 − 6.37500I
u = −0.177067 − 0.388181I
a = −0.806616 − 0.298443I
b = −0.104181 − 0.441416I
−0.391409 − 0.990443I −6.94560 + 6.37500I
u = −1.52177 + 0.45149I
a = −0.023534 − 1.003640I
b = −1.46266 + 1.14471I
−14.8430 + 18.8383I 0
u = −1.52177 − 0.45149I
a = −0.023534 + 1.003640I
b = −1.46266 − 1.14471I
−14.8430 − 18.8383I 0
u = −1.48371 + 0.63192I
a = −0.054684 + 0.729620I
b = 0.696218 − 0.536118I
−4.11013 + 4.51900I 0
u = −1.48371 − 0.63192I
a = −0.054684 − 0.729620I
b = 0.696218 + 0.536118I
−4.11013 − 4.51900I 0
u = −1.55030 + 0.46019I
a = 0.012246 + 0.981982I
b = 1.29407 − 1.12131I
−10.6426 + 12.4107I 0
u = −1.55030 − 0.46019I
a = 0.012246 − 0.981982I
b = 1.29407 + 1.12131I
−10.6426 − 12.4107I 0
u = −1.51993 + 0.56718I
a = −0.296884 + 0.731669I
b = 0.563905 − 0.415063I
−7.71273 − 1.55990I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.51993 − 0.56718I
a = −0.296884 − 0.731669I
b = 0.563905 + 0.415063I
−7.71273 + 1.55990I 0
u = −1.54631 + 0.50368I
a = 0.027006 − 0.968000I
b = −1.19129 + 0.88163I
−16.0128 + 6.1089I 0
u = −1.54631 − 0.50368I
a = 0.027006 + 0.968000I
b = −1.19129 − 0.88163I
−16.0128 − 6.1089I 0
u = 0.077650 + 0.356980I
a = 2.92652 + 0.94798I
b = −0.885792 − 0.839896I
−1.45363 − 2.81108I −5.48491 + 0.85956I
u = 0.077650 − 0.356980I
a = 2.92652 − 0.94798I
b = −0.885792 + 0.839896I
−1.45363 + 2.81108I −5.48491 − 0.85956I
u = 1.55377 + 0.55131I
a = 0.227464 + 0.794779I
b = −1.30323 − 0.68383I
−15.5623 − 8.4376I 0
u = 1.55377 − 0.55131I
a = 0.227464 − 0.794779I
b = −1.30323 + 0.68383I
−15.5623 + 8.4376I 0
u = −0.220324 + 0.257336I
a = 2.46568 − 4.06100I
b = 0.348249 + 0.522392I
−8.82326 − 2.45397I −9.07242 + 9.28337I
u = −0.220324 − 0.257336I
a = 2.46568 + 4.06100I
b = 0.348249 − 0.522392I
−8.82326 + 2.45397I −9.07242 − 9.28337I
u = 0.11727 + 1.70328I
a = −0.705595 − 0.162044I
b = 0.726224 + 0.110053I
−10.05660 + 0.92727I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.11727 − 1.70328I
a = −0.705595 + 0.162044I
b = 0.726224 − 0.110053I
−10.05660 − 0.92727I 0
u = −0.153290
a = −3.37425
b = −0.766547
−1.99515 −3.75200
u = 1.83028 + 0.41768I
a = −0.130425 − 0.638164I
b = 0.741911 + 0.973437I
−8.73950 − 4.06805I 0
u = 1.83028 − 0.41768I
a = −0.130425 + 0.638164I
b = 0.741911 − 0.973437I
−8.73950 + 4.06805I 0
u = −0.0993803 + 0.0063765I
a = 3.69594 − 13.32710I
b = −0.983894 + 0.119002I
−5.70561 − 2.82958I −10.76935 + 1.81030I
u = −0.0993803 − 0.0063765I
a = 3.69594 + 13.32710I
b = −0.983894 − 0.119002I
−5.70561 + 2.82958I −10.76935 − 1.81030I
u = 0.0268208 + 0.0305191I
a = 29.6132 + 13.6360I
b = 1.268210 + 0.497295I
−9.75886 + 7.66998I −11.09033 − 5.42698I
u = 0.0268208 − 0.0305191I
a = 29.6132 − 13.6360I
b = 1.268210 − 0.497295I
−9.75886 − 7.66998I −11.09033 + 5.42698I
u = 1.96168 + 1.31224I
a = 0.318774 + 0.391530I
b = −0.474803 − 0.261945I
−10.92390 + 4.16775I 0
u = 1.96168 − 1.31224I
a = 0.318774 − 0.391530I
b = −0.474803 + 0.261945I
−10.92390 − 4.16775I 0
17
II.
I
u
2
= h5.03×10
18
u
28
−3.08×10
19
u
27
+· · ·+8.44×10
18
b−1.05×10
19
, −1.85×
10
19
u
28
+1.09×10
20
u
27
+· · ·+8.44×10
18
a−3.82×10
19
, u
29
−7u
28
+· · ·−5u+1i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
2.19216u
28
− 12.8933u
27
+ ··· + 42.2028u + 4.52863
−0.596188u
28
+ 3.65413u
27
+ ··· − 19.7477u + 1.24230
a
10
=
−u
−u
3
+ u
a
4
=
1.59597u
28
− 9.23921u
27
+ ··· + 22.4550u + 5.77093
−0.596188u
28
+ 3.65413u
27
+ ··· − 19.7477u + 1.24230
a
2
=
−3.21612u
28
+ 20.1873u
27
+ ··· − 128.378u + 10.9011
0.992475u
28
− 5.59188u
27
+ ··· − 11.0335u − 2.57562
a
3
=
4.40109u
28
− 25.3145u
27
+ ··· + 31.9478u + 3.53009
0.924488u
28
− 5.25857u
27
+ ··· − 14.2432u − 0.0773399
a
8
=
−3.46683u
28
+ 20.6813u
27
+ ··· − 56.8067u + 6.36127
0.0153284u
28
− 0.0588238u
27
+ ··· − 4.67255u − 0.670540
a
6
=
−0.828426u
28
+ 4.10485u
27
+ ··· + 8.07912u + 4.79327
0.161202u
28
− 0.861779u
27
+ ··· − 11.6203u + 0.236366
a
11
=
−0.229452u
28
+ 1.27507u
27
+ ··· + 53.9130u − 0.482139
0.261731u
28
− 1.25486u
27
+ ··· + 4.20427u + 0.365732
a
7
=
−4.95853u
28
+ 29.7272u
27
+ ··· − 140.771u + 10.8173
0.331803u
28
− 1.95212u
27
+ ··· − 11.1444u − 2.26096
(ii) Obstruction class = 1
(iii) Cusp Shapes =
65111884557626300133
8439391182421450631
u
28
−
372871696936112308123
8439391182421450631
u
27
+ ··· +
398429549803450832683
8439391182421450631
u −
12097997358592395509
8439391182421450631
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
29
− 6u
28
+ ··· + 10u + 1
c
2
u
29
+ u
28
+ ··· + 2u − 1
c
3
u
29
+ 6u
28
+ ··· − 6u + 1
c
4
u
29
+ 4u
28
+ ··· + 36u + 7
c
5
u
29
+ 2u
28
+ ··· + 67u + 5
c
6
u
29
− u
28
+ ··· + 2u + 1
c
7
u
29
+ 4u
28
+ ··· − 2u − 1
c
8
u
29
− 2u
28
+ ··· + 67u − 5
c
9
u
29
+ 7u
28
+ ··· − 5u − 1
c
10
u
29
− 6u
28
+ ··· − 6u − 1
c
11
u
29
+ 2u
28
+ ··· + u − 1
c
12
u
29
− 7u
28
+ ··· − 5u + 1
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
+ 32y
27
+ ··· + 44y −1
c
2
, c
6
y
29
− 15y
28
+ ··· + 14y −1
c
3
, c
10
y
29
+ 18y
28
+ ··· − 14y −1
c
4
y
29
− 20y
28
+ ··· + 1058y −49
c
5
, c
8
y
29
+ 30y
28
+ ··· + 1569y −25
c
7
y
29
− 10y
28
+ ··· + 2y
2
− 1
c
9
, c
12
y
29
− 31y
28
+ ··· − 247y −1
c
11
y
29
+ 90y
27
+ ··· + 5y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.02088
a = 0.113836
b = 2.33521
−3.31380 −21.6720
u = 0.790388 + 0.706490I
a = −0.321340 − 1.118480I
b = 0.288040 + 0.015027I
−9.15541 + 1.66908I −13.84689 − 0.49824I
u = 0.790388 − 0.706490I
a = −0.321340 + 1.118480I
b = 0.288040 − 0.015027I
−9.15541 − 1.66908I −13.84689 + 0.49824I
u = −0.876506 + 0.259934I
a = −0.42329 + 1.44179I
b = 2.20662 + 1.00894I
−7.90167 + 0.39359I −30.3205 + 14.4885I
u = −0.876506 − 0.259934I
a = −0.42329 − 1.44179I
b = 2.20662 − 1.00894I
−7.90167 − 0.39359I −30.3205 − 14.4885I
u = −1.076060 + 0.353832I
a = −0.042338 + 1.241840I
b = 0.715002 − 0.850882I
−2.71016 + 3.76879I −6.24100 + 0.83237I
u = −1.076060 − 0.353832I
a = −0.042338 − 1.241840I
b = 0.715002 + 0.850882I
−2.71016 − 3.76879I −6.24100 − 0.83237I
u = −0.341515 + 0.788112I
a = −1.085840 + 0.828396I
b = 0.915743 − 0.658486I
−1.92986 + 4.06368I −7.23408 − 6.83570I
u = −0.341515 − 0.788112I
a = −1.085840 − 0.828396I
b = 0.915743 + 0.658486I
−1.92986 − 4.06368I −7.23408 + 6.83570I
u = −1.224510 + 0.098915I
a = −0.195886 − 0.768254I
b = −0.976600 + 0.144826I
−4.27936 − 1.48897I −8.66466 + 0.76951I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.224510 − 0.098915I
a = −0.195886 + 0.768254I
b = −0.976600 − 0.144826I
−4.27936 + 1.48897I −8.66466 − 0.76951I
u = 1.226120 + 0.096599I
a = 0.80938 + 1.51250I
b = 0.332578 − 0.578978I
−11.68730 − 3.74894I −0.77528 + 7.46773I
u = 1.226120 − 0.096599I
a = 0.80938 − 1.51250I
b = 0.332578 + 0.578978I
−11.68730 + 3.74894I −0.77528 − 7.46773I
u = 1.228520 + 0.382337I
a = 0.105593 − 0.977584I
b = 1.52541 + 0.08829I
−11.2333 − 9.9215I −13.0866 + 8.1578I
u = 1.228520 − 0.382337I
a = 0.105593 + 0.977584I
b = 1.52541 − 0.08829I
−11.2333 + 9.9215I −13.0866 − 8.1578I
u = −0.134492 + 0.680599I
a = 0.583373 + 0.888996I
b = 0.190060 − 0.785482I
0.814562 + 0.651644I 0.373303 − 0.869607I
u = −0.134492 − 0.680599I
a = 0.583373 − 0.888996I
b = 0.190060 + 0.785482I
0.814562 − 0.651644I 0.373303 + 0.869607I
u = 1.364030 + 0.184869I
a = −0.569259 − 0.189121I
b = −0.954971 − 0.608249I
−4.35193 − 3.55824I −4.00000 + 5.55601I
u = 1.364030 − 0.184869I
a = −0.569259 + 0.189121I
b = −0.954971 + 0.608249I
−4.35193 + 3.55824I −4.00000 − 5.55601I
u = 1.28098 + 0.66187I
a = −0.057443 + 0.885031I
b = −0.706929 − 0.380702I
−5.32074 − 5.40407I −13.5231 + 6.5907I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.28098 − 0.66187I
a = −0.057443 − 0.885031I
b = −0.706929 + 0.380702I
−5.32074 + 5.40407I −13.5231 − 6.5907I
u = 1.41303 + 0.32122I
a = −0.100644 + 0.918854I
b = −1.70043 − 1.00426I
−7.37578 − 8.10737I −9.18906 + 7.53256I
u = 1.41303 − 0.32122I
a = −0.100644 − 0.918854I
b = −1.70043 + 1.00426I
−7.37578 + 8.10737I −9.18906 − 7.53256I
u = −1.51008 + 0.29574I
a = 0.102341 − 0.726622I
b = −1.08366 + 1.02048I
−5.52358 + 2.66970I −10.64016 − 5.78680I
u = −1.51008 − 0.29574I
a = 0.102341 + 0.726622I
b = −1.08366 − 1.02048I
−5.52358 − 2.66970I −10.64016 + 5.78680I
u = 0.0172060 + 0.0834844I
a = 6.82704 + 2.99178I
b = 0.38544 − 1.48114I
0.71234 + 2.03356I 4.73573 + 1.93850I
u = 0.0172060 − 0.0834844I
a = 6.82704 − 2.99178I
b = 0.38544 + 1.48114I
0.71234 − 2.03356I 4.73573 − 1.93850I
u = 1.85334 + 0.90609I
a = 0.311409 + 0.493943I
b = −0.303916 − 0.508947I
−10.64760 + 4.25761I 0
u = 1.85334 − 0.90609I
a = 0.311409 − 0.493943I
b = −0.303916 + 0.508947I
−10.64760 − 4.25761I 0
25
III. I
u
3
= hb − 1, a, u + 1i
(i) Arc colorings
a
9
=
0
−1
a
12
=
1
0
a
1
=
1
1
a
5
=
0
1
a
10
=
1
0
a
4
=
1
1
a
2
=
1
1
a
3
=
0
1
a
8
=
0
−1
a
6
=
0
1
a
11
=
1
−1
a
7
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
8
u
c
2
, c
7
, c
9
c
10
, c
11
u − 1
c
3
, c
4
, c
6
c
12
u + 1
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
8
y
c
2
, c
3
, c
4
c
6
, c
7
, c
9
c
10
, c
11
, c
12
y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0
b = 1.00000
−3.28987 −12.0000
29
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u
29
− 6u
28
+ ··· + 10u + 1)
· (u
130
− 13u
129
+ ··· − 179728050u + 10062098)
c
2
(u − 1)(u
29
+ u
28
+ ··· + 2u − 1)(u
130
− 3u
129
+ ··· + 8779u − 307)
c
3
(u + 1)(u
29
+ 6u
28
+ ··· − 6u + 1)(u
130
+ 6u
129
+ ··· + 273801u + 6691)
c
4
(u + 1)(u
29
+ 4u
28
+ ··· + 36u + 7)
· (u
130
+ 8u
129
+ ··· − 32651759u − 16964329)
c
5
u(u
29
+ 2u
28
+ ··· + 67u + 5)(u
130
+ 9u
129
+ ··· + 6600u + 218)
c
6
(u + 1)(u
29
− u
28
+ ··· + 2u + 1)(u
130
− 3u
129
+ ··· + 8779u − 307)
c
7
(u − 1)(u
29
+ 4u
28
+ ··· − 2u − 1)
· (u
130
+ 4u
129
+ ··· − 3192063u + 4571051)
c
8
u(u
29
− 2u
28
+ ··· + 67u − 5)(u
130
+ 9u
129
+ ··· + 6600u + 218)
c
9
(u − 1)(u
29
+ 7u
28
+ ··· − 5u − 1)(u
130
− 5u
129
+ ··· − 6u − 1)
c
10
(u − 1)(u
29
− 6u
28
+ ··· − 6u − 1)(u
130
+ 6u
129
+ ··· + 273801u + 6691)
c
11
(u − 1)(u
29
+ 2u
28
+ ··· + u − 1)(u
130
+ 12u
129
+ ··· + 35960u − 90691)
c
12
(u + 1)(u
29
− 7u
28
+ ··· − 5u + 1)(u
130
− 5u
129
+ ··· − 6u − 1)
30
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y(y
29
+ 32y
27
+ ··· + 44y −1)
· (y
130
− 39y
129
+ ··· − 12521051740895800y + 101245816161604)
c
2
, c
6
(y −1)(y
29
− 15y
28
+ ··· + 14y −1)
· (y
130
− 87y
129
+ ··· − 162306321y + 94249)
c
3
, c
10
(y −1)(y
29
+ 18y
28
+ ··· − 14y −1)
· (y
130
+ 34y
129
+ ··· − 59906322757y + 44769481)
c
4
(y −1)(y
29
− 20y
28
+ ··· + 1058y −49)
· (y
130
− 128y
129
+ ··· − 5434457919023257y + 287788458420241)
c
5
, c
8
y(y
29
+ 30y
28
+ ··· + 1569y −25)
· (y
130
+ 111y
129
+ ··· − 8958604y + 47524)
c
7
(y −1)(y
29
− 10y
28
+ ··· + 2y
2
− 1)
· (y
130
− 70y
129
+ ··· − 3447337940891247y + 20894507244601)
c
9
, c
12
(y −1)(y
29
− 31y
28
+ ··· − 247y −1)(y
130
− 115y
129
+ ··· − 68y + 1)
c
11
(y −1)(y
29
+ 90y
27
+ ··· + 5y −1)
· (y
130
− 96y
129
+ ··· + 30998315860y + 8224857481)
31
