12a
0933
(K12a
0933
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 8 3 11 2 1 7 5 10
Solving Sequence
1,4 2,10
9 3 8 12 5 6 11 7
c
1
c
9
c
3
c
8
c
12
c
4
c
5
c
11
c
7
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h7.45874 × 10
1495
u
151
+ 1.33532 × 10
1497
u
150
+ ··· + 3.64559 × 10
1494
b + 4.30408 × 10
1496
,
− 5.52856 × 10
1496
u
151
− 9.82856 × 10
1497
u
150
+ ··· + 3.64559 × 10
1494
a − 1.60537 × 10
1497
,
u
152
+ 18u
151
+ ··· + 39u + 1i
I
u
2
= h2.35650 × 10
100
u
38
− 3.38206 × 10
100
u
37
+ ··· + 3.27749 × 10
101
b + 1.72182 × 10
102
,
9.76286 × 10
101
u
38
− 8.69104 × 10
101
u
37
+ ··· + 3.27749 × 10
101
a + 9.71584 × 10
102
, u
39
− u
38
+ ··· + 28u − 1i
* 2 irreducible components of dim
C
= 0, with total 191 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
= h7.46 × 10
1495
u
151
+ 1.34 × 10
1497
u
150
+ · · · + 3.65 × 10
1494
b + 4.30 ×
10
1496
, −5.53 × 10
1496
u
151
− 9.83 × 10
1497
u
150
+ · · · + 3.65 × 10
1494
a −
1.61 × 10
1497
, u
152
+ 18u
151
+ · · · + 39u + 1i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
10
=
151.651u
151
+ 2696.01u
150
+ ··· + 17353.5u + 440.358
−20.4596u
151
− 366.282u
150
+ ··· − 4076.80u − 118.063
a
9
=
172.110u
151
+ 3062.29u
150
+ ··· + 21430.3u + 558.421
−20.4596u
151
− 366.282u
150
+ ··· − 4076.80u − 118.063
a
3
=
319.100u
151
+ 5726.02u
150
+ ··· + 85918.0u + 2583.86
−11.0235u
151
− 194.799u
150
+ ··· − 924.820u − 30.9225
a
8
=
146.852u
151
+ 2609.75u
150
+ ··· + 16133.8u + 404.669
−19.8946u
151
− 356.472u
150
+ ··· − 4133.32u − 120.159
a
12
=
−3.32451u
151
− 57.0384u
150
+ ··· + 6814.87u + 268.841
−34.2470u
151
− 602.620u
150
+ ··· − 849.480u − 12.3166
a
5
=
157.788u
151
+ 2843.03u
150
+ ··· + 54408.2u + 1659.71
36.0042u
151
+ 647.930u
150
+ ··· + 7325.33u + 201.311
a
6
=
60.6871u
151
+ 1097.66u
150
+ ··· + 31667.6u + 1035.03
−2.47249u
151
− 46.0628u
150
+ ··· − 1190.55u − 36.7659
a
11
=
679.004u
151
+ 12120.8u
150
+ ··· + 112833.u + 3113.90
25.1544u
151
+ 447.720u
150
+ ··· + 877.076u − 0.217198
a
7
=
−676.104u
151
− 12070.4u
150
+ ··· − 113192.u − 3126.36
−10.1138u
151
− 181.931u
150
+ ··· − 69.6124u + 18.2014
(ii) Obstruction class = −1
(iii) Cusp Shapes = 320.886u
151
+ 5727.00u
150
+ ··· + 47503.8u + 1336.04
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
152
− 18u
151
+ ··· − 39u + 1
c
2
, c
6
u
152
− 3u
151
+ ··· + 225401u − 8611
c
3
u
152
− u
151
+ ··· − 15926u − 2857
c
4
, c
11
u
152
+ 2u
151
+ ··· − 7903029u + 617167
c
5
u
152
+ 5u
151
+ ··· + 305455361572u + 24617683931
c
7
, c
10
u
152
+ 6u
151
+ ··· − 4623182u + 1967081
c
8
u
152
+ 3u
151
+ ··· + 438574749u − 20742433
c
9
, c
12
u
152
+ 9u
151
+ ··· − 369447u + 44911
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
152
+ 56y
151
+ ··· + 23y + 1
c
2
, c
6
y
152
− 101y
151
+ ··· − 16415773991y + 74149321
c
3
y
152
− 39y
151
+ ··· − 753263922y + 8162449
c
4
, c
11
y
152
+ 124y
151
+ ··· − 8121102240761y + 380895105889
c
5
y
152
− 63y
151
+ ··· − 2.20 × 10
22
y + 6.06 × 10
20
c
7
, c
10
y
152
− 96y
151
+ ··· − 110104889750638y + 3869407660561
c
8
y
152
+ 29y
151
+ ··· + 22531234880768715y + 430248526759489
c
9
, c
12
y
152
+ 79y
151
+ ··· − 258835027171y + 2016997921
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.935275 + 0.382584I
a = 0.08390 + 1.52785I
b = 0.65486 + 1.28889I
1.99484 + 7.85089I 0
u = −0.935275 − 0.382584I
a = 0.08390 − 1.52785I
b = 0.65486 − 1.28889I
1.99484 − 7.85089I 0
u = −0.233837 + 0.951544I
a = 0.84492 + 1.22874I
b = 0.011769 − 0.796786I
5.20569 + 4.08312I 0
u = −0.233837 − 0.951544I
a = 0.84492 − 1.22874I
b = 0.011769 + 0.796786I
5.20569 − 4.08312I 0
u = −0.281681 + 0.898653I
a = −1.43264 − 1.13703I
b = 0.171388 + 1.015400I
6.18918 + 3.73765I 0
u = −0.281681 − 0.898653I
a = −1.43264 + 1.13703I
b = 0.171388 − 1.015400I
6.18918 − 3.73765I 0
u = −0.679834 + 0.648725I
a = 0.204352 − 0.815495I
b = −0.553882 + 0.286722I
6.54096 − 3.13281I 0
u = −0.679834 − 0.648725I
a = 0.204352 + 0.815495I
b = −0.553882 − 0.286722I
6.54096 + 3.13281I 0
u = −0.916063 + 0.201408I
a = −0.470095 + 1.330040I
b = 0.141253 + 1.252060I
−3.67199 − 2.16904I 0
u = −0.916063 − 0.201408I
a = −0.470095 − 1.330040I
b = 0.141253 − 1.252060I
−3.67199 + 2.16904I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.370334 + 0.995863I
a = −0.073221 − 0.365053I
b = −0.948877 + 0.133965I
3.19199 − 2.62186I 0
u = 0.370334 − 0.995863I
a = −0.073221 + 0.365053I
b = −0.948877 − 0.133965I
3.19199 + 2.62186I 0
u = 0.160558 + 1.079900I
a = 0.185601 + 0.556425I
b = 0.766670 − 0.185969I
6.41663 + 2.23215I 0
u = 0.160558 − 1.079900I
a = 0.185601 − 0.556425I
b = 0.766670 + 0.185969I
6.41663 − 2.23215I 0
u = −0.721807 + 0.549581I
a = −0.489303 − 0.074539I
b = 0.659359 − 0.257865I
1.42163 + 4.80254I 0
u = −0.721807 − 0.549581I
a = −0.489303 + 0.074539I
b = 0.659359 + 0.257865I
1.42163 − 4.80254I 0
u = 0.811230 + 0.754642I
a = 0.466320 + 0.975953I
b = −0.52368 + 1.41851I
−1.90553 − 6.31711I 0
u = 0.811230 − 0.754642I
a = 0.466320 − 0.975953I
b = −0.52368 − 1.41851I
−1.90553 + 6.31711I 0
u = 1.058100 + 0.348509I
a = −0.608381 − 0.934220I
b = 0.341759 − 1.058760I
−3.68720 − 1.29648I 0
u = 1.058100 − 0.348509I
a = −0.608381 + 0.934220I
b = 0.341759 + 1.058760I
−3.68720 + 1.29648I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.644387 + 0.911067I
a = 0.191002 − 0.267681I
b = 1.375100 − 0.141524I
11.0260 + 13.0923I 0
u = −0.644387 − 0.911067I
a = 0.191002 + 0.267681I
b = 1.375100 + 0.141524I
11.0260 − 13.0923I 0
u = 0.854784 + 0.724708I
a = 0.168650 + 0.435813I
b = −0.546254 + 0.152476I
1.84334 − 2.87370I 0
u = 0.854784 − 0.724708I
a = 0.168650 − 0.435813I
b = −0.546254 − 0.152476I
1.84334 + 2.87370I 0
u = −0.504912 + 1.020440I
a = 0.872696 − 0.362187I
b = −0.512736 − 1.194000I
−0.58647 + 6.32932I 0
u = −0.504912 − 1.020440I
a = 0.872696 + 0.362187I
b = −0.512736 + 1.194000I
−0.58647 − 6.32932I 0
u = −0.868184 + 0.738801I
a = 0.289552 − 0.480800I
b = −0.904556 − 0.249326I
6.34019 + 8.45382I 0
u = −0.868184 − 0.738801I
a = 0.289552 + 0.480800I
b = −0.904556 + 0.249326I
6.34019 − 8.45382I 0
u = −0.600112 + 0.980099I
a = −1.008520 + 0.584348I
b = 0.311504 + 1.177840I
−0.98376 + 1.06441I 0
u = −0.600112 − 0.980099I
a = −1.008520 − 0.584348I
b = 0.311504 − 1.177840I
−0.98376 − 1.06441I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.520493 + 1.025400I
a = 0.222025 + 0.232359I
b = 1.136520 + 0.026847I
7.51782 − 7.30521I 0
u = 0.520493 − 1.025400I
a = 0.222025 − 0.232359I
b = 1.136520 − 0.026847I
7.51782 + 7.30521I 0
u = 0.078428 + 1.162160I
a = −0.082573 − 0.426293I
b = 0.744457 + 0.771748I
10.00370 − 5.64491I 0
u = 0.078428 − 1.162160I
a = −0.082573 + 0.426293I
b = 0.744457 − 0.771748I
10.00370 + 5.64491I 0
u = −0.497986 + 0.667887I
a = 2.07027 − 1.14040I
b = −0.420190 − 0.870978I
5.11645 + 0.63264I 0
u = −0.497986 − 0.667887I
a = 2.07027 + 1.14040I
b = −0.420190 + 0.870978I
5.11645 − 0.63264I 0
u = −0.546708 + 1.033890I
a = 0.487242 − 0.214922I
b = 0.365490 − 0.975410I
1.88749 − 4.73534I 0
u = −0.546708 − 1.033890I
a = 0.487242 + 0.214922I
b = 0.365490 + 0.975410I
1.88749 + 4.73534I 0
u = 0.729651 + 0.914947I
a = 0.693621 + 0.506734I
b = −0.448081 + 1.154430I
−1.78719 − 3.48751I 0
u = 0.729651 − 0.914947I
a = 0.693621 − 0.506734I
b = −0.448081 − 1.154430I
−1.78719 + 3.48751I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.190270 + 0.004013I
a = −0.257506 + 1.264490I
b = −0.536928 + 1.153270I
−0.78586 − 2.01558I 0
u = −1.190270 − 0.004013I
a = −0.257506 − 1.264490I
b = −0.536928 − 1.153270I
−0.78586 + 2.01558I 0
u = 1.193610 + 0.075141I
a = 0.80882 + 1.66380I
b = 0.172551 + 0.925925I
0.88957 + 3.10119I 0
u = 1.193610 − 0.075141I
a = 0.80882 − 1.66380I
b = 0.172551 − 0.925925I
0.88957 − 3.10119I 0
u = 0.775884 + 0.116844I
a = 0.017547 − 1.196340I
b = 1.26055 − 0.78742I
6.15017 + 2.58736I 0
u = 0.775884 − 0.116844I
a = 0.017547 + 1.196340I
b = 1.26055 + 0.78742I
6.15017 − 2.58736I 0
u = −0.645640 + 1.034180I
a = −0.055838 + 0.438883I
b = −1.030240 + 0.147900I
6.48084 + 7.16637I 0
u = −0.645640 − 1.034180I
a = −0.055838 − 0.438883I
b = −1.030240 − 0.147900I
6.48084 − 7.16637I 0
u = −0.375063 + 0.658711I
a = −0.0404358 + 0.0519131I
b = −1.242610 + 0.335553I
3.63591 + 0.77560I 0
u = −0.375063 − 0.658711I
a = −0.0404358 − 0.0519131I
b = −1.242610 − 0.335553I
3.63591 − 0.77560I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.648280 + 0.383759I
a = 0.74745 − 1.57356I
b = −0.266176 − 1.246510I
−2.75063 + 2.91296I 0
u = −0.648280 − 0.383759I
a = 0.74745 + 1.57356I
b = −0.266176 + 1.246510I
−2.75063 − 2.91296I 0
u = −0.145963 + 1.249030I
a = 0.072930 + 0.252364I
b = −0.708252 − 0.331805I
6.80014 − 0.98524I 0
u = −0.145963 − 1.249030I
a = 0.072930 − 0.252364I
b = −0.708252 + 0.331805I
6.80014 + 0.98524I 0
u = 0.414206 + 0.594935I
a = 0.23464 − 2.96723I
b = 0.280906 − 0.854234I
8.48399 + 1.23029I 0
u = 0.414206 − 0.594935I
a = 0.23464 + 2.96723I
b = 0.280906 + 0.854234I
8.48399 − 1.23029I 0
u = −0.904350 + 0.905008I
a = −0.436913 + 1.188460I
b = 0.80150 + 1.25250I
1.28325 + 10.77160I 0
u = −0.904350 − 0.905008I
a = −0.436913 − 1.188460I
b = 0.80150 − 1.25250I
1.28325 − 10.77160I 0
u = 0.647809 + 0.303687I
a = −0.786308 + 0.053820I
b = 0.334031 + 0.043604I
−1.18968 − 0.88706I 0
u = 0.647809 − 0.303687I
a = −0.786308 − 0.053820I
b = 0.334031 − 0.043604I
−1.18968 + 0.88706I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.163316 + 0.665238I
a = −0.387465 − 0.223752I
b = −0.546044 + 0.408136I
0.68504 − 1.82504I 0
u = 0.163316 − 0.665238I
a = −0.387465 + 0.223752I
b = −0.546044 − 0.408136I
0.68504 + 1.82504I 0
u = 1.011650 + 0.845123I
a = 0.89768 + 1.43016I
b = −0.335016 + 1.227380I
−2.13872 − 6.18708I 0
u = 1.011650 − 0.845123I
a = 0.89768 − 1.43016I
b = −0.335016 − 1.227380I
−2.13872 + 6.18708I 0
u = 0.889906 + 0.974652I
a = 0.366955 + 1.040480I
b = −0.53617 + 1.48658I
−1.88884 − 6.43571I 0
u = 0.889906 − 0.974652I
a = 0.366955 − 1.040480I
b = −0.53617 − 1.48658I
−1.88884 + 6.43571I 0
u = −0.885949 + 1.011380I
a = 0.536120 − 1.226330I
b = −0.63136 − 1.31120I
0.31397 + 7.30280I 0
u = −0.885949 − 1.011380I
a = 0.536120 + 1.226330I
b = −0.63136 + 1.31120I
0.31397 − 7.30280I 0
u = 0.207735 + 0.615939I
a = 1.11684 + 2.51065I
b = −0.436976 + 1.000520I
4.74461 − 5.18455I 0
u = 0.207735 − 0.615939I
a = 1.11684 − 2.51065I
b = −0.436976 − 1.000520I
4.74461 + 5.18455I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.912815 + 1.002290I
a = −0.260755 + 0.991715I
b = −0.180304 + 1.370620I
1.50947 − 5.83631I 0
u = −0.912815 − 1.002290I
a = −0.260755 − 0.991715I
b = −0.180304 − 1.370620I
1.50947 + 5.83631I 0
u = 1.272840 + 0.504028I
a = −0.031400 − 1.196700I
b = 0.77492 − 1.33716I
3.74983 − 10.30020I 0
u = 1.272840 − 0.504028I
a = −0.031400 + 1.196700I
b = 0.77492 + 1.33716I
3.74983 + 10.30020I 0
u = −0.902628 + 1.038890I
a = 0.228435 − 0.681683I
b = 0.882294 − 0.638210I
10.97600 + 0.52377I 0
u = −0.902628 − 1.038890I
a = 0.228435 + 0.681683I
b = 0.882294 + 0.638210I
10.97600 − 0.52377I 0
u = 0.915533 + 1.043450I
a = −0.742379 − 0.657864I
b = 0.127184 − 1.351910I
−1.59406 − 0.36141I 0
u = 0.915533 − 1.043450I
a = −0.742379 + 0.657864I
b = 0.127184 + 1.351910I
−1.59406 + 0.36141I 0
u = −0.620964 + 1.245300I
a = 0.183858 − 0.191111I
b = 0.873971 − 0.340419I
12.55830 + 2.20360I 0
u = −0.620964 − 1.245300I
a = 0.183858 + 0.191111I
b = 0.873971 + 0.340419I
12.55830 − 2.20360I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.05267 + 0.94865I
a = −0.269627 − 1.132980I
b = 0.74147 − 1.29615I
0.35903 − 6.16168I 0
u = 1.05267 − 0.94865I
a = −0.269627 + 1.132980I
b = 0.74147 + 1.29615I
0.35903 + 6.16168I 0
u = −0.486605 + 0.314191I
a = 0.14276 + 2.04441I
b = 0.726670 + 0.979494I
3.82035 − 0.68763I 0
u = −0.486605 − 0.314191I
a = 0.14276 − 2.04441I
b = 0.726670 − 0.979494I
3.82035 + 0.68763I 0
u = 0.161493 + 0.544438I
a = −2.33443 − 2.79550I
b = 0.559917 − 0.902548I
9.5218 − 10.6544I 0
u = 0.161493 − 0.544438I
a = −2.33443 + 2.79550I
b = 0.559917 + 0.902548I
9.5218 + 10.6544I 0
u = −0.96880 + 1.05731I
a = 0.852637 − 1.079550I
b = −0.435330 − 1.314710I
1.71307 + 13.07760I 0
u = −0.96880 − 1.05731I
a = 0.852637 + 1.079550I
b = −0.435330 + 1.314710I
1.71307 − 13.07760I 0
u = 1.24648 + 0.71844I
a = −0.721666 − 0.907415I
b = 0.067604 − 1.056210I
−3.77581 − 0.51652I 0
u = 1.24648 − 0.71844I
a = −0.721666 + 0.907415I
b = 0.067604 + 1.056210I
−3.77581 + 0.51652I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.547000
a = 0.150720
b = −1.31164
2.94559 0
u = 1.46038 + 0.09923I
a = −0.011323 + 1.136900I
b = −0.726965 + 1.019070I
−0.62153 − 2.91268I 0
u = 1.46038 − 0.09923I
a = −0.011323 − 1.136900I
b = −0.726965 − 1.019070I
−0.62153 + 2.91268I 0
u = −0.403512 + 0.352042I
a = −1.30155 + 2.93855I
b = 0.539081 + 0.450358I
3.35404 − 1.12833I 0
u = −0.403512 − 0.352042I
a = −1.30155 − 2.93855I
b = 0.539081 − 0.450358I
3.35404 + 1.12833I 0
u = −0.280879 + 0.454677I
a = −1.83157 + 0.18205I
b = 0.092745 − 0.252971I
1.96151 − 1.15179I 0
u = −0.280879 − 0.454677I
a = −1.83157 − 0.18205I
b = 0.092745 + 0.252971I
1.96151 + 1.15179I 0
u = 1.11368 + 0.97691I
a = −0.679328 − 1.013960I
b = 0.230785 − 1.136840I
−4.18944 − 3.16734I 0
u = 1.11368 − 0.97691I
a = −0.679328 + 1.013960I
b = 0.230785 + 1.136840I
−4.18944 + 3.16734I 0
u = −1.06021 + 1.04015I
a = −0.690830 + 0.958824I
b = 0.395163 + 1.125760I
−1.13533 + 8.72961I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.06021 − 1.04015I
a = −0.690830 − 0.958824I
b = 0.395163 − 1.125760I
−1.13533 − 8.72961I 0
u = −0.465085 + 0.084489I
a = −0.369601 + 1.073610I
b = −1.08011 + 1.78585I
3.68589 + 1.67525I 0
u = −0.465085 − 0.084489I
a = −0.369601 − 1.073610I
b = −1.08011 − 1.78585I
3.68589 − 1.67525I 0
u = 1.21558 + 0.97941I
a = 0.247984 + 1.218830I
b = −0.345740 + 1.290430I
−4.12830 − 5.19417I 0
u = 1.21558 − 0.97941I
a = 0.247984 − 1.218830I
b = −0.345740 − 1.290430I
−4.12830 + 5.19417I 0
u = 0.78065 + 1.37071I
a = 0.257680 + 0.406258I
b = 0.136914 + 0.818743I
1.22298 − 1.36266I 0
u = 0.78065 − 1.37071I
a = 0.257680 − 0.406258I
b = 0.136914 − 0.818743I
1.22298 + 1.36266I 0
u = −1.59400 + 0.07216I
a = 0.64309 − 1.29713I
b = 0.158468 − 0.677908I
7.84798 + 8.16268I 0
u = −1.59400 − 0.07216I
a = 0.64309 + 1.29713I
b = 0.158468 + 0.677908I
7.84798 − 8.16268I 0
u = −1.18356 + 1.09877I
a = −0.28026 + 1.49392I
b = 0.514646 + 1.150300I
10.00960 + 7.25143I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18356 − 1.09877I
a = −0.28026 − 1.49392I
b = 0.514646 − 1.150300I
10.00960 − 7.25143I 0
u = −0.12593 + 1.61831I
a = 0.204006 − 0.004052I
b = −0.002941 − 0.769700I
7.17705 − 2.82884I 0
u = −0.12593 − 1.61831I
a = 0.204006 + 0.004052I
b = −0.002941 + 0.769700I
7.17705 + 2.82884I 0
u = 0.017343 + 0.366067I
a = 0.66291 − 1.48503I
b = −0.553947 − 0.215657I
1.47735 + 0.27324I 0
u = 0.017343 − 0.366067I
a = 0.66291 + 1.48503I
b = −0.553947 + 0.215657I
1.47735 − 0.27324I 0
u = −0.09706 + 1.64691I
a = −0.110543 − 0.957147I
b = −0.051572 − 1.107060I
0.036270 − 0.754360I 0
u = −0.09706 − 1.64691I
a = −0.110543 + 0.957147I
b = −0.051572 + 1.107060I
0.036270 + 0.754360I 0
u = −0.307499 + 0.163241I
a = −0.47069 − 3.49350I
b = −0.463097 − 1.093890I
0.23437 + 2.48943I 0
u = −0.307499 − 0.163241I
a = −0.47069 + 3.49350I
b = −0.463097 + 1.093890I
0.23437 − 2.48943I 0
u = 0.31028 + 1.64740I
a = 0.198130 + 0.055813I
b = 0.203485 + 0.956734I
8.26479 + 3.28704I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31028 − 1.64740I
a = 0.198130 − 0.055813I
b = 0.203485 − 0.956734I
8.26479 − 3.28704I 0
u = −1.16397 + 1.23378I
a = −0.324732 + 1.215550I
b = 0.66772 + 1.37589I
7.1262 + 20.0565I 0
u = −1.16397 − 1.23378I
a = −0.324732 − 1.215550I
b = 0.66772 − 1.37589I
7.1262 − 20.0565I 0
u = −0.190750 + 0.234634I
a = 2.99491 − 1.54520I
b = −0.747436 + 0.400103I
2.18309 + 1.46498I 4.16818 − 3.49972I
u = −0.190750 − 0.234634I
a = 2.99491 + 1.54520I
b = −0.747436 − 0.400103I
2.18309 − 1.46498I 4.16818 + 3.49972I
u = 1.17193 + 1.23191I
a = −0.270649 − 1.283100I
b = 0.57351 − 1.34339I
3.44756 − 13.29700I 0
u = 1.17193 − 1.23191I
a = −0.270649 + 1.283100I
b = 0.57351 + 1.34339I
3.44756 + 13.29700I 0
u = −0.207601 + 0.172114I
a = 0.70550 + 1.60314I
b = 0.97894 + 2.53406I
3.13931 − 2.22445I −5.5741 − 46.7303I
u = −0.207601 − 0.172114I
a = 0.70550 − 1.60314I
b = 0.97894 − 2.53406I
3.13931 + 2.22445I −5.5741 + 46.7303I
u = 0.258492
a = −10.0700
b = −0.0786574
3.82946 −71.1100
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.149195 + 0.167472I
a = 0.43058 + 8.90489I
b = 0.299184 + 1.032280I
3.49034 + 5.67599I 5.58049 − 9.56883I
u = −0.149195 − 0.167472I
a = 0.43058 − 8.90489I
b = 0.299184 − 1.032280I
3.49034 − 5.67599I 5.58049 + 9.56883I
u = 1.10638 + 1.41654I
a = 0.192681 + 1.140340I
b = −0.43505 + 1.35765I
−1.47650 − 7.55686I 0
u = 1.10638 − 1.41654I
a = 0.192681 − 1.140340I
b = −0.43505 − 1.35765I
−1.47650 + 7.55686I 0
u = 0.119634 + 0.155751I
a = 1.27070 + 0.78266I
b = 3.19410 + 0.73261I
3.34818 + 2.20925I 31.9788 + 91.6608I
u = 0.119634 − 0.155751I
a = 1.27070 − 0.78266I
b = 3.19410 − 0.73261I
3.34818 − 2.20925I 31.9788 − 91.6608I
u = −1.51948 + 1.02745I
a = −0.117529 + 1.235160I
b = 0.573793 + 1.036650I
9.57895 + 5.91037I 0
u = −1.51948 − 1.02745I
a = −0.117529 − 1.235160I
b = 0.573793 − 1.036650I
9.57895 − 5.91037I 0
u = −0.044748 + 0.158506I
a = 3.78888 + 1.31530I
b = −1.12424 + 1.11528I
2.20408 + 1.64225I 5.90303 + 2.91632I
u = −0.044748 − 0.158506I
a = 3.78888 − 1.31530I
b = −1.12424 − 1.11528I
2.20408 − 1.64225I 5.90303 − 2.91632I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.28625 + 1.31164I
a = 0.246969 − 1.171390I
b = −0.577938 − 1.288940I
2.94441 + 12.92850I 0
u = −1.28625 − 1.31164I
a = 0.246969 + 1.171390I
b = −0.577938 + 1.288940I
2.94441 − 12.92850I 0
u = −0.139313 + 0.068909I
a = −14.7687 + 6.0635I
b = 0.082647 − 0.802912I
7.05372 + 2.37538I 12.99741 + 3.23215I
u = −0.139313 − 0.068909I
a = −14.7687 − 6.0635I
b = 0.082647 + 0.802912I
7.05372 − 2.37538I 12.99741 − 3.23215I
u = −1.46605 + 1.12363I
a = −0.394671 + 1.030860I
b = −0.046187 + 0.891074I
0.736565 − 0.832997I 0
u = −1.46605 − 1.12363I
a = −0.394671 − 1.030860I
b = −0.046187 − 0.891074I
0.736565 + 0.832997I 0
u = −1.81882 + 1.33517I
a = 0.369790 − 0.828597I
b = 0.257955 − 1.041910I
6.49444 − 10.24100I 0
u = −1.81882 − 1.33517I
a = 0.369790 + 0.828597I
b = 0.257955 + 1.041910I
6.49444 + 10.24100I 0
u = −3.75199 + 0.69935I
a = −0.151485 − 1.101270I
b = −0.127502 − 0.997082I
2.16840 + 0.42004I 0
u = −3.75199 − 0.69935I
a = −0.151485 + 1.101270I
b = −0.127502 + 0.997082I
2.16840 − 0.42004I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 2.13874 + 6.39227I
a = 0.021968 − 1.056990I
b = 0.038691 − 1.084290I
1.88465 + 0.35470I 0
u = 2.13874 − 6.39227I
a = 0.021968 + 1.056990I
b = 0.038691 + 1.084290I
1.88465 − 0.35470I 0
20
II. I
u
2
= h2.36 × 10
100
u
38
− 3.38 × 10
100
u
37
+ · · · + 3.28 × 10
101
b + 1.72 ×
10
102
, 9.76 × 10
101
u
38
− 8.69 × 10
101
u
37
+ · · · + 3.28 × 10
101
a + 9.72 ×
10
102
, u
39
− u
38
+ · · · + 28u − 1i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
10
=
−2.97876u
38
+ 2.65174u
37
+ ··· + 552.060u − 29.6442
−0.0718996u
38
+ 0.103190u
37
+ ··· + 50.2370u − 5.25346
a
9
=
−2.90686u
38
+ 2.54855u
37
+ ··· + 501.823u − 24.3907
−0.0718996u
38
+ 0.103190u
37
+ ··· + 50.2370u − 5.25346
a
3
=
1.48542u
38
− 1.12890u
37
+ ··· − 120.394u + 1.98643
0.324392u
38
− 0.296829u
37
+ ··· − 71.0152u + 3.63312
a
8
=
−2.93077u
38
+ 2.61014u
37
+ ··· + 544.934u − 29.2858
−0.0692275u
38
+ 0.101796u
37
+ ··· + 49.1579u − 5.21577
a
12
=
4.80139u
38
− 4.42806u
37
+ ··· − 980.350u + 50.4982
1.16827u
38
− 1.11933u
37
+ ··· − 275.449u + 19.7860
a
5
=
0.208866u
38
− 0.371040u
37
+ ··· − 210.395u + 26.9189
−2.08899u
38
+ 1.90847u
37
+ ··· + 387.382u − 16.9737
a
6
=
0.612805u
38
− 0.345226u
37
+ ··· + 37.6258u − 6.30508
0.259490u
38
− 0.239913u
37
+ ··· − 47.4001u + 1.76883
a
11
=
−1.30252u
38
+ 1.17247u
37
+ ··· + 251.863u − 13.7619
−0.0697740u
38
+ 0.0835789u
37
+ ··· + 35.2020u − 3.21810
a
7
=
−1.60429u
38
+ 1.41814u
37
+ ··· + 290.554u − 15.1706
−0.0396296u
38
+ 0.0543709u
37
+ ··· + 23.3842u − 2.45425
(ii) Obstruction class = 1
(iii) Cusp Shapes = −5.08629u
38
+ 5.17271u
37
+ ··· + 1407.44u − 84.7286
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
39
− u
38
+ ··· + 28u − 1
c
2
u
39
− 14u
37
+ ··· − 2u + 1
c
3
u
39
− 13u
37
+ ··· − 13u − 1
c
4
u
39
− u
38
+ ··· − 2u
2
− 1
c
5
u
39
+ 14u
38
+ ··· − 29u − 1
c
6
u
39
− 14u
37
+ ··· − 2u − 1
c
7
u
39
− 3u
38
+ ··· − 7u + 1
c
8
u
39
− 9u
37
+ ··· + 4u + 1
c
9
u
39
+ 4u
38
+ ··· − 5u
2
+ 1
c
10
u
39
+ 3u
38
+ ··· − 7u − 1
c
11
u
39
+ u
38
+ ··· + 2u
2
+ 1
c
12
u
39
− 4u
38
+ ··· + 5u
2
− 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 53y
38
+ ··· + 196y −1
c
2
, c
6
y
39
− 28y
38
+ ··· + 34y −1
c
3
y
39
− 26y
38
+ ··· + 73y −1
c
4
, c
11
y
39
+ 37y
38
+ ··· − 4y −1
c
5
y
39
+ 6y
38
+ ··· − 365y −1
c
7
, c
10
y
39
− 15y
38
+ ··· + 29y −1
c
8
y
39
− 18y
38
+ ··· − 20y −1
c
9
, c
12
y
39
+ 12y
38
+ ··· + 10y −1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.283894 + 0.958496I
a = 0.054186 − 0.495379I
b = 0.384880 − 0.419224I
1.57245 − 1.70184I 10.25973 + 2.30840I
u = 0.283894 − 0.958496I
a = 0.054186 + 0.495379I
b = 0.384880 + 0.419224I
1.57245 + 1.70184I 10.25973 − 2.30840I
u = 0.434923 + 0.870016I
a = −0.522422 − 0.463390I
b = 0.49970 − 1.32999I
−1.93068 − 5.33382I 0.78916 + 2.89270I
u = 0.434923 − 0.870016I
a = −0.522422 + 0.463390I
b = 0.49970 + 1.32999I
−1.93068 + 5.33382I 0.78916 − 2.89270I
u = −0.062433 + 1.058050I
a = 0.159335 + 1.048050I
b = −0.131771 − 0.909309I
4.87100 + 4.63670I 3.29859 − 9.89000I
u = −0.062433 − 1.058050I
a = 0.159335 − 1.048050I
b = −0.131771 + 0.909309I
4.87100 − 4.63670I 3.29859 + 9.89000I
u = 0.929896 + 0.606040I
a = 0.156918 + 1.375950I
b = −0.75668 + 1.32338I
2.05107 − 8.66962I 5.28699 + 9.27112I
u = 0.929896 − 0.606040I
a = 0.156918 − 1.375950I
b = −0.75668 − 1.32338I
2.05107 + 8.66962I 5.28699 − 9.27112I
u = 0.012536 + 1.160820I
a = −0.599594 − 0.879500I
b = −0.264140 + 0.167102I
9.62431 + 2.26939I 10.68371 − 1.41934I
u = 0.012536 − 1.160820I
a = −0.599594 + 0.879500I
b = −0.264140 − 0.167102I
9.62431 − 2.26939I 10.68371 + 1.41934I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.544990 + 0.615372I
a = −2.99289 + 0.23618I
b = 0.058713 + 0.847053I
6.95104 + 3.01739I 10.96822 − 5.96059I
u = −0.544990 − 0.615372I
a = −2.99289 − 0.23618I
b = 0.058713 − 0.847053I
6.95104 − 3.01739I 10.96822 + 5.96059I
u = 1.210620 + 0.141301I
a = 0.012905 − 1.198860I
b = 0.741968 − 1.081980I
−1.59260 − 3.01033I 0. + 5.16985I
u = 1.210620 − 0.141301I
a = 0.012905 + 1.198860I
b = 0.741968 + 1.081980I
−1.59260 + 3.01033I 0. − 5.16985I
u = 0.824413 + 0.944196I
a = 0.752165 + 0.666950I
b = −0.168796 + 1.257960I
−2.58935 − 0.72676I 0
u = 0.824413 − 0.944196I
a = 0.752165 − 0.666950I
b = −0.168796 − 1.257960I
−2.58935 + 0.72676I 0
u = 1.120210 + 0.606697I
a = 0.782880 + 0.802864I
b = −0.163411 + 1.057810I
−2.96496 − 0.71358I 0
u = 1.120210 − 0.606697I
a = 0.782880 − 0.802864I
b = −0.163411 − 1.057810I
−2.96496 + 0.71358I 0
u = 0.973740 + 0.896926I
a = −0.593215 − 1.238330I
b = 0.380050 − 1.245890I
−3.02190 − 5.18032I 0
u = 0.973740 − 0.896926I
a = −0.593215 + 1.238330I
b = 0.380050 + 1.245890I
−3.02190 + 5.18032I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.063213 + 1.363290I
a = 0.003255 + 0.519207I
b = −0.305287 − 0.216645I
8.01695 − 2.68529I 0
u = −0.063213 − 1.363290I
a = 0.003255 − 0.519207I
b = −0.305287 + 0.216645I
8.01695 + 2.68529I 0
u = −0.925660 + 1.017680I
a = −0.522787 + 1.041120I
b = 0.654682 + 1.201800I
0.37675 + 9.35178I 0
u = −0.925660 − 1.017680I
a = −0.522787 − 1.041120I
b = 0.654682 − 1.201800I
0.37675 − 9.35178I 0
u = 0.940176 + 1.020680I
a = −0.358433 − 1.078100I
b = 0.57898 − 1.44846I
−2.25559 − 6.00109I 0
u = 0.940176 − 1.020680I
a = −0.358433 + 1.078100I
b = 0.57898 + 1.44846I
−2.25559 + 6.00109I 0
u = −1.47048 + 0.13554I
a = −0.29604 + 1.61174I
b = −0.396898 + 0.850253I
7.87263 − 9.76693I 0
u = −1.47048 − 0.13554I
a = −0.29604 − 1.61174I
b = −0.396898 − 0.850253I
7.87263 + 9.76693I 0
u = −0.163966 + 0.477813I
a = −2.64835 − 0.08724I
b = 0.549707 + 0.105227I
2.58844 − 0.84474I 13.5602 − 7.0609I
u = −0.163966 − 0.477813I
a = −2.64835 + 0.08724I
b = 0.549707 − 0.105227I
2.58844 + 0.84474I 13.5602 + 7.0609I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.099517 + 0.377472I
a = 0.558339 − 0.155252I
b = 2.13535 − 0.59889I
2.33432 + 1.93333I 21.7698 − 16.6799I
u = −0.099517 − 0.377472I
a = 0.558339 + 0.155252I
b = 2.13535 + 0.59889I
2.33432 − 1.93333I 21.7698 + 16.6799I
u = 0.201783
a = −9.19682
b = 0.372070
3.92034 27.2510
u = 0.0799594 + 0.0323524I
a = 0.12194 + 5.62062I
b = −2.14271 + 0.91414I
3.27002 + 2.24469I −2.2088 + 20.9290I
u = 0.0799594 − 0.0323524I
a = 0.12194 − 5.62062I
b = −2.14271 − 0.91414I
3.27002 − 2.24469I −2.2088 − 20.9290I
u = −1.99542 + 0.90444I
a = 0.020744 + 1.243490I
b = 0.150355 + 0.967883I
0.404638 + 0.127158I 0
u = −1.99542 − 0.90444I
a = 0.020744 − 1.243490I
b = 0.150355 − 0.967883I
0.404638 − 0.127158I 0
u = −1.08558 + 5.41274I
a = 0.009478 + 1.081920I
b = 0.009274 + 1.106210I
1.93970 + 0.33960I 0
u = −1.08558 − 5.41274I
a = 0.009478 − 1.081920I
b = 0.009274 − 1.106210I
1.93970 − 0.33960I 0
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
39
− u
38
+ ··· + 28u − 1)(u
152
− 18u
151
+ ··· − 39u + 1)
c
2
(u
39
− 14u
37
+ ··· − 2u + 1)(u
152
− 3u
151
+ ··· + 225401u − 8611)
c
3
(u
39
− 13u
37
+ ··· − 13u − 1)(u
152
− u
151
+ ··· − 15926u − 2857)
c
4
(u
39
− u
38
+ ··· − 2u
2
− 1)(u
152
+ 2u
151
+ ··· − 7903029u + 617167)
c
5
(u
39
+ 14u
38
+ ··· − 29u − 1)
· (u
152
+ 5u
151
+ ··· + 305455361572u + 24617683931)
c
6
(u
39
− 14u
37
+ ··· − 2u − 1)(u
152
− 3u
151
+ ··· + 225401u − 8611)
c
7
(u
39
− 3u
38
+ ··· − 7u + 1)(u
152
+ 6u
151
+ ··· − 4623182u + 1967081)
c
8
(u
39
− 9u
37
+ ··· + 4u + 1)
· (u
152
+ 3u
151
+ ··· + 438574749u − 20742433)
c
9
(u
39
+ 4u
38
+ ··· − 5u
2
+ 1)(u
152
+ 9u
151
+ ··· − 369447u + 44911)
c
10
(u
39
+ 3u
38
+ ··· − 7u − 1)(u
152
+ 6u
151
+ ··· − 4623182u + 1967081)
c
11
(u
39
+ u
38
+ ··· + 2u
2
+ 1)(u
152
+ 2u
151
+ ··· − 7903029u + 617167)
c
12
(u
39
− 4u
38
+ ··· + 5u
2
− 1)(u
152
+ 9u
151
+ ··· − 369447u + 44911)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
39
+ 53y
38
+ ··· + 196y −1)(y
152
+ 56y
151
+ ··· + 23y + 1)
c
2
, c
6
(y
39
− 28y
38
+ ··· + 34y −1)
· (y
152
− 101y
151
+ ··· − 16415773991y + 74149321)
c
3
(y
39
− 26y
38
+ ··· + 73y −1)
· (y
152
− 39y
151
+ ··· − 753263922y + 8162449)
c
4
, c
11
(y
39
+ 37y
38
+ ··· − 4y −1)
· (y
152
+ 124y
151
+ ··· − 8121102240761y + 380895105889)
c
5
(y
39
+ 6y
38
+ ··· − 365y −1)
· (y
152
− 63y
151
+ ··· − 2.20 × 10
22
y + 6.06 × 10
20
)
c
7
, c
10
(y
39
− 15y
38
+ ··· + 29y −1)
· (y
152
− 96y
151
+ ··· − 110104889750638y + 3869407660561)
c
8
(y
39
− 18y
38
+ ··· − 20y −1)
· (y
152
+ 29y
151
+ ··· + 22531234880768715y + 430248526759489)
c
9
, c
12
(y
39
+ 12y
38
+ ··· + 10y −1)
· (y
152
+ 79y
151
+ ··· − 258835027171y + 2016997921)
31
