12a
1123
(K12a
1123
)
A knot diagram
1
Linearized knot diagam
4 8 6 11 1 2 10 3 12 7 5 9
Solving Sequence
2,8
3
9,10
7 11 6 4 1 5 12
c
2
c
8
c
7
c
10
c
6
c
3
c
1
c
5
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.78617 × 10
1299
u
183
+ 1.15209 × 10
1300
u
182
+ ··· + 3.43840 × 10
1301
b − 4.60238 × 10
1305
,
− 3.26625 × 10
1304
u
183
+ 4.61565 × 10
1304
u
182
+ ··· + 3.04106 × 10
1306
a − 2.55958 × 10
1310
,
u
184
− 3u
183
+ ··· − 16532u − 707552i
I
u
2
= h1.03964 × 10
80
u
53
− 1.41812 × 10
80
u
52
+ ··· + 1.18952 × 10
79
b − 1.18053 × 10
81
,
− 2.63097 × 10
81
u
53
+ 5.32573 × 10
81
u
52
+ ··· + 7.61290 × 10
80
a − 2.25246 × 10
82
,
u
54
− 2u
53
+ ··· + 8u + 16i
I
u
3
= hb, a + 1, u + 1i
I
u
4
= hb − 1, a, u − 1i
I
v
1
= ha, b − 1, v
2
+ v + 1i
* 5 irreducible components of dim
C
= 0, with total 242 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−4.79 × 10
1299
u
183
+ 1.15 × 10
1300
u
182
+ · · · + 3.44 × 10
1301
b −
4.60 × 10
1305
, −3.27 × 10
1304
u
183
+ 4.62 × 10
1304
u
182
+ · · · + 3.04 ×
10
1306
a − 2.56 × 10
1310
, u
184
− 3u
183
+ · · · − 16532u − 707552i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
9
=
u
−u
3
+ u
a
10
=
0.0107405u
183
− 0.0151777u
182
+ ··· − 3295.92u + 8416.72
0.0139197u
183
− 0.0335067u
182
+ ··· + 19645.1u + 13385.2
a
7
=
−0.00156752u
183
− 0.00663758u
182
+ ··· + 13051.4u − 4867.01
0.00828057u
183
− 0.0193654u
182
+ ··· − 1932.56u − 1452.62
a
11
=
−0.00127922u
183
+ 0.00655393u
182
+ ··· − 25451.7u − 13831.3
0.00717971u
183
− 0.0194907u
182
+ ··· + 20116.8u + 12169.8
a
6
=
−0.00984809u
183
+ 0.0127279u
182
+ ··· + 14983.9u − 3414.39
0.00828057u
183
− 0.0193654u
182
+ ··· − 1932.56u − 1452.62
a
4
=
0.0444811u
183
− 0.115632u
182
+ ··· + 48562.7u + 19528.8
−0.0233998u
183
+ 0.0518711u
182
+ ··· − 23431.8u − 19788.0
a
1
=
0.0102005u
183
− 0.0285372u
182
+ ··· + 26048.7u + 11181.2
−0.00245711u
183
+ 0.0108087u
182
+ ··· − 15547.1u − 6467.78
a
5
=
0.00849164u
183
− 0.0254342u
182
+ ··· + 23002.7u + 9454.99
0.0314455u
183
− 0.0656827u
182
+ ··· + 25015.7u + 26410.8
a
12
=
0.0115925u
183
− 0.0268365u
182
+ ··· + 16092.5u + 9751.18
−0.00723329u
183
+ 0.0240324u
182
+ ··· − 26585.3u − 12055.8
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.189618u
183
− 0.434216u
182
+ ··· + 235912.u + 190543.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
184
− 24u
183
+ ··· − 311u + 11
c
2
, c
8
u
184
+ 3u
183
+ ··· + 16532u − 707552
c
3
u
184
+ 24u
183
+ ··· + 311u + 11
c
4
, c
11
u
184
− 3u
183
+ ··· − 16532u − 707552
c
5
u
184
+ 3u
183
+ ··· − 9319301u − 540938
c
6
u
184
− 3u
183
+ ··· + 9319301u − 540938
c
7
, c
10
u
184
+ 7u
183
+ ··· − 35972490u − 2292697
c
9
, c
12
u
184
− 7u
183
+ ··· + 35972490u − 2292697
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
y
184
− 28y
183
+ ··· − 4453y + 121
c
2
, c
4
, c
8
c
11
y
184
− 123y
183
+ ··· − 24369037776528y + 500629832704
c
5
, c
6
y
184
+ y
183
+ ··· − 44470573435141y + 292613919844
c
7
, c
9
, c
10
c
12
y
184
+ 87y
183
+ ··· + 234883455129296y + 5256459533809
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.985626
a = −0.759031
b = −0.0948487
1.81166 0
u = −0.489911 + 0.901223I
a = −0.805025 + 0.681962I
b = −1.73608 + 0.05132I
−2.39271 + 3.21505I 0
u = −0.489911 − 0.901223I
a = −0.805025 − 0.681962I
b = −1.73608 − 0.05132I
−2.39271 − 3.21505I 0
u = 0.180610 + 1.011810I
a = 0.989830 + 0.658343I
b = 1.72828 − 0.03225I
−6.36700 − 8.19408I 0
u = 0.180610 − 1.011810I
a = 0.989830 − 0.658343I
b = 1.72828 + 0.03225I
−6.36700 + 8.19408I 0
u = −1.005260 + 0.230771I
a = −0.518244 + 0.930244I
b = −2.43905 + 0.47542I
−4.85131 − 2.59645I 0
u = −1.005260 − 0.230771I
a = −0.518244 − 0.930244I
b = −2.43905 − 0.47542I
−4.85131 + 2.59645I 0
u = −0.735384 + 0.613585I
a = −1.040240 + 0.411539I
b = −1.046980 − 0.525483I
0.92484 − 2.06260I 0
u = −0.735384 − 0.613585I
a = −1.040240 − 0.411539I
b = −1.046980 + 0.525483I
0.92484 + 2.06260I 0
u = −0.695315 + 0.782126I
a = −0.842301 + 0.964060I
b = −1.54098 + 0.12296I
−2.59109 + 2.11654I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.695315 − 0.782126I
a = −0.842301 − 0.964060I
b = −1.54098 − 0.12296I
−2.59109 − 2.11654I 0
u = 0.798329 + 0.499550I
a = 0.765281 + 0.620111I
b = 0.84266 − 1.52141I
−1.93610 + 3.47025I 0
u = 0.798329 − 0.499550I
a = 0.765281 − 0.620111I
b = 0.84266 + 1.52141I
−1.93610 − 3.47025I 0
u = 0.704438 + 0.615542I
a = 1.27157 + 1.33467I
b = 1.034560 − 0.424468I
−5.60582 + 8.27968I 0
u = 0.704438 − 0.615542I
a = 1.27157 − 1.33467I
b = 1.034560 + 0.424468I
−5.60582 − 8.27968I 0
u = −0.804895 + 0.702904I
a = 0.560383 − 0.038561I
b = 1.54722 + 1.16442I
2.92723 − 2.77066I 0
u = −0.804895 − 0.702904I
a = 0.560383 + 0.038561I
b = 1.54722 − 1.16442I
2.92723 + 2.77066I 0
u = 0.926286 + 0.014329I
a = −0.821084 + 0.987438I
b = −1.53496 − 0.43276I
2.26240 − 3.62583I 0
u = 0.926286 − 0.014329I
a = −0.821084 − 0.987438I
b = −1.53496 + 0.43276I
2.26240 + 3.62583I 0
u = −0.902918 + 0.206522I
a = 0.60340 + 1.46916I
b = 0.662486 − 0.622978I
1.38239 − 3.23354I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.902918 − 0.206522I
a = 0.60340 − 1.46916I
b = 0.662486 + 0.622978I
1.38239 + 3.23354I 0
u = 0.892620 + 0.236399I
a = −0.92437 − 1.07973I
b = −1.385630 − 0.021065I
−6.00362 − 0.84358I 0
u = 0.892620 − 0.236399I
a = −0.92437 + 1.07973I
b = −1.385630 + 0.021065I
−6.00362 + 0.84358I 0
u = 1.022330 + 0.356426I
a = −1.111570 + 0.780898I
b = −0.606798 + 0.620247I
4.85131 + 2.59645I 0
u = 1.022330 − 0.356426I
a = −1.111570 − 0.780898I
b = −0.606798 − 0.620247I
4.85131 − 2.59645I 0
u = −1.074620 + 0.166743I
a = 1.93510 + 0.18775I
b = 0.413987 − 0.051585I
2.01208 − 2.54820I 0
u = −1.074620 − 0.166743I
a = 1.93510 − 0.18775I
b = 0.413987 + 0.051585I
2.01208 + 2.54820I 0
u = 0.802134 + 0.421950I
a = 0.789056 + 0.986182I
b = 1.21198 − 1.39302I
−1.97744 + 2.96340I 0
u = 0.802134 − 0.421950I
a = 0.789056 − 0.986182I
b = 1.21198 + 1.39302I
−1.97744 − 2.96340I 0
u = −0.048778 + 0.901957I
a = 0.250954 − 0.600412I
b = 1.087460 + 0.094327I
2.39271 − 3.21505I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.048778 − 0.901957I
a = 0.250954 + 0.600412I
b = 1.087460 − 0.094327I
2.39271 + 3.21505I 0
u = −0.026037 + 0.902429I
a = −1.093070 − 0.695436I
b = −1.302130 + 0.025427I
0.85382 − 2.87397I 0
u = −0.026037 − 0.902429I
a = −1.093070 + 0.695436I
b = −1.302130 − 0.025427I
0.85382 + 2.87397I 0
u = −0.276070 + 0.858657I
a = −0.413887 − 1.076220I
b = −0.933141 − 0.154161I
0.12293 + 8.60047I 0
u = −0.276070 − 0.858657I
a = −0.413887 + 1.076220I
b = −0.933141 + 0.154161I
0.12293 − 8.60047I 0
u = −0.845699 + 0.295331I
a = −1.354790 + 0.269684I
b = −0.437180 + 0.241808I
1.39201 + 0.99343I 0
u = −0.845699 − 0.295331I
a = −1.354790 − 0.269684I
b = −0.437180 − 0.241808I
1.39201 − 0.99343I 0
u = 1.087200 + 0.302579I
a = −0.679623 − 0.666667I
b = −1.87872 − 0.32585I
1.43596 + 5.96515I 0
u = 1.087200 − 0.302579I
a = −0.679623 + 0.666667I
b = −1.87872 + 0.32585I
1.43596 − 5.96515I 0
u = −0.678508 + 0.913644I
a = −0.704081 + 0.788464I
b = −0.845690 − 0.370506I
−2.26240 − 3.62583I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.678508 − 0.913644I
a = −0.704081 − 0.788464I
b = −0.845690 + 0.370506I
−2.26240 + 3.62583I 0
u = 0.685478 + 0.514961I
a = 0.574553 + 0.851611I
b = 1.73144 − 0.28433I
−2.36266 + 1.01498I 0
u = 0.685478 − 0.514961I
a = 0.574553 − 0.851611I
b = 1.73144 + 0.28433I
−2.36266 − 1.01498I 0
u = −0.825897 + 0.198082I
a = −2.10285 − 0.24188I
b = −0.373539 + 0.076539I
1.37257 + 1.21094I 0
u = −0.825897 − 0.198082I
a = −2.10285 + 0.24188I
b = −0.373539 − 0.076539I
1.37257 − 1.21094I 0
u = 0.804476 + 0.269267I
a = −0.36857 − 1.72115I
b = −0.620916 + 0.712355I
−6.16249 + 3.26145I 0
u = 0.804476 − 0.269267I
a = −0.36857 + 1.72115I
b = −0.620916 − 0.712355I
−6.16249 − 3.26145I 0
u = 0.840768 + 0.080079I
a = 0.371275 + 0.852191I
b = 3.02870 − 0.28547I
−3.64266 − 0.21557I 0
u = 0.840768 − 0.080079I
a = 0.371275 − 0.852191I
b = 3.02870 + 0.28547I
−3.64266 + 0.21557I 0
u = 1.070720 + 0.458245I
a = −0.446676 − 0.312714I
b = −1.79888 − 0.47416I
1.19256 + 6.47923I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.070720 − 0.458245I
a = −0.446676 + 0.312714I
b = −1.79888 + 0.47416I
1.19256 − 6.47923I 0
u = 1.072110 + 0.475562I
a = 0.983675 + 0.735838I
b = 1.31882 − 0.65322I
−2.17391 + 6.57641I 0
u = 1.072110 − 0.475562I
a = 0.983675 − 0.735838I
b = 1.31882 + 0.65322I
−2.17391 − 6.57641I 0
u = 1.149500 + 0.237840I
a = 0.791790 − 0.107984I
b = 0.091517 − 0.162488I
3.92123 + 3.79257I 0
u = 1.149500 − 0.237840I
a = 0.791790 + 0.107984I
b = 0.091517 + 0.162488I
3.92123 − 3.79257I 0
u = −0.042621 + 0.824732I
a = −1.359300 + 0.185818I
b = −1.70822 − 0.28360I
−8.32646 − 1.63543I 0
u = −0.042621 − 0.824732I
a = −1.359300 − 0.185818I
b = −1.70822 + 0.28360I
−8.32646 + 1.63543I 0
u = −0.924643 + 0.730244I
a = −0.504614 + 0.805299I
b = −1.61874 + 0.10520I
−2.92723 + 2.77066I 0
u = −0.924643 − 0.730244I
a = −0.504614 − 0.805299I
b = −1.61874 − 0.10520I
−2.92723 − 2.77066I 0
u = 0.921134 + 0.736510I
a = 1.031950 + 0.808342I
b = 1.51095 + 0.03229I
−5.01958 − 3.02663I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.921134 − 0.736510I
a = 1.031950 − 0.808342I
b = 1.51095 − 0.03229I
−5.01958 + 3.02663I 0
u = −1.165720 + 0.181056I
a = 1.007540 − 0.684382I
b = 0.767129 − 0.055654I
2.34591 − 2.81285I 0
u = −1.165720 − 0.181056I
a = 1.007540 + 0.684382I
b = 0.767129 + 0.055654I
2.34591 + 2.81285I 0
u = 0.643907 + 0.991431I
a = −0.204606 − 0.802795I
b = −0.404066 + 0.728819I
−0.33746 − 1.88661I 0
u = 0.643907 − 0.991431I
a = −0.204606 + 0.802795I
b = −0.404066 − 0.728819I
−0.33746 + 1.88661I 0
u = 0.621279 + 0.529397I
a = 1.60176 + 0.65665I
b = 1.41036 − 0.66133I
−1.19256 + 6.47923I 0
u = 0.621279 − 0.529397I
a = 1.60176 − 0.65665I
b = 1.41036 + 0.66133I
−1.19256 − 6.47923I 0
u = −0.784895 + 0.200538I
a = −0.25570 + 1.53212I
b = −1.34200 − 1.82242I
−5.62429 + 0.58912I 0
u = −0.784895 − 0.200538I
a = −0.25570 − 1.53212I
b = −1.34200 + 1.82242I
−5.62429 − 0.58912I 0
u = −0.968502 + 0.692552I
a = −1.124240 + 0.794564I
b = −1.56155 − 0.91365I
−1.79220 − 7.65639I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.968502 − 0.692552I
a = −1.124240 − 0.794564I
b = −1.56155 + 0.91365I
−1.79220 + 7.65639I 0
u = −1.185070 + 0.256522I
a = 0.408279 − 0.757112I
b = 1.85872 + 1.73919I
5.01958 − 3.02663I 0
u = −1.185070 − 0.256522I
a = 0.408279 + 0.757112I
b = 1.85872 − 1.73919I
5.01958 + 3.02663I 0
u = −0.778837 + 0.096749I
a = 0.304418 + 0.830487I
b = 2.26561 + 0.08753I
2.59109 − 2.11654I 0
u = −0.778837 − 0.096749I
a = 0.304418 − 0.830487I
b = 2.26561 − 0.08753I
2.59109 + 2.11654I 0
u = 0.762096 + 0.147835I
a = 1.04721 − 0.96385I
b = −0.484359 + 0.173774I
1.93610 − 3.47025I 0
u = 0.762096 − 0.147835I
a = 1.04721 + 0.96385I
b = −0.484359 − 0.173774I
1.93610 + 3.47025I 0
u = 0.088281 + 0.769342I
a = 0.257711 + 0.884805I
b = 0.502611 + 0.230620I
−3.92123 + 3.79257I 0
u = 0.088281 − 0.769342I
a = 0.257711 − 0.884805I
b = 0.502611 − 0.230620I
−3.92123 − 3.79257I 0
u = −0.749260 + 0.188813I
a = 1.36145 − 0.76811I
b = 1.43287 − 0.08567I
−4.48506 − 6.68699I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.749260 − 0.188813I
a = 1.36145 + 0.76811I
b = 1.43287 + 0.08567I
−4.48506 + 6.68699I 0
u = −1.189610 + 0.310866I
a = 0.557553 − 0.902645I
b = 1.99711 − 0.61768I
−1.42220 − 10.12460I 0
u = −1.189610 − 0.310866I
a = 0.557553 + 0.902645I
b = 1.99711 + 0.61768I
−1.42220 + 10.12460I 0
u = 0.717969 + 0.275469I
a = 1.85236 − 0.79530I
b = 0.289215 − 0.504753I
3.64266 + 0.21557I 0
u = 0.717969 − 0.275469I
a = 1.85236 + 0.79530I
b = 0.289215 + 0.504753I
3.64266 − 0.21557I 0
u = −1.176010 + 0.385573I
a = 0.781375 + 0.845819I
b = 0.315439 + 0.698136I
5.62429 − 0.58912I 0
u = −1.176010 − 0.385573I
a = 0.781375 − 0.845819I
b = 0.315439 − 0.698136I
5.62429 + 0.58912I 0
u = 0.737580 + 0.170365I
a = 0.034747 + 0.642731I
b = −3.02888 − 1.21694I
1.79220 + 7.65639I 0
u = 0.737580 − 0.170365I
a = 0.034747 − 0.642731I
b = −3.02888 + 1.21694I
1.79220 − 7.65639I 0
u = −1.168710 + 0.469901I
a = 0.951405 − 0.803807I
b = 2.06525 + 0.87580I
1.42220 − 10.12460I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.168710 − 0.469901I
a = 0.951405 + 0.803807I
b = 2.06525 − 0.87580I
1.42220 + 10.12460I 0
u = −0.721684 + 0.046606I
a = −1.19431 + 1.73762I
b = −0.500365 − 0.556419I
0.33746 − 1.88661I 0
u = −0.721684 − 0.046606I
a = −1.19431 − 1.73762I
b = −0.500365 + 0.556419I
0.33746 + 1.88661I 0
u = −1.226210 + 0.402234I
a = −0.697110 − 0.456871I
b = −0.187976 − 0.345164I
− 7.92691I 0
u = −1.226210 − 0.402234I
a = −0.697110 + 0.456871I
b = −0.187976 + 0.345164I
7.92691I 0
u = −1.162010 + 0.566310I
a = −0.745071 + 0.716572I
b = −1.70951 − 1.28188I
−0.12293 − 8.60047I 0
u = −1.162010 − 0.566310I
a = −0.745071 − 0.716572I
b = −1.70951 + 1.28188I
−0.12293 + 8.60047I 0
u = −1.225820 + 0.422841I
a = 0.124919 − 0.619537I
b = 1.45694 − 0.36010I
−1.01899 − 1.60810I 0
u = −1.225820 − 0.422841I
a = 0.124919 + 0.619537I
b = 1.45694 + 0.36010I
−1.01899 + 1.60810I 0
u = −0.332867 + 0.597578I
a = −2.06363 + 0.44611I
b = −0.929860 − 0.890913I
−4.26869 − 7.87376I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.332867 − 0.597578I
a = −2.06363 − 0.44611I
b = −0.929860 + 0.890913I
−4.26869 + 7.87376I 0
u = 0.110455 + 0.672101I
a = 1.60907 + 0.72067I
b = 0.875021 + 0.469568I
−4.78758 − 2.34370I 0
u = 0.110455 − 0.672101I
a = 1.60907 − 0.72067I
b = 0.875021 − 0.469568I
−4.78758 + 2.34370I 0
u = 1.019410 + 0.843827I
a = 0.609046 + 0.245167I
b = 1.90886 − 0.46068I
−1.39201 + 0.99343I 0
u = 1.019410 − 0.843827I
a = 0.609046 − 0.245167I
b = 1.90886 + 0.46068I
−1.39201 − 0.99343I 0
u = 1.214970 + 0.528259I
a = −0.896657 − 0.451155I
b = −2.14826 + 1.05482I
4.41467 + 7.92340I 0
u = 1.214970 − 0.528259I
a = −0.896657 + 0.451155I
b = −2.14826 − 1.05482I
4.41467 − 7.92340I 0
u = 0.303671 + 0.596367I
a = −0.529378 − 0.399748I
b = 0.048285 + 1.169730I
−0.92484 − 2.06260I 0
u = 0.303671 − 0.596367I
a = −0.529378 + 0.399748I
b = 0.048285 − 1.169730I
−0.92484 + 2.06260I 0
u = −1.205970 + 0.576400I
a = 0.755148 + 0.705491I
b = 0.205528 + 0.255237I
2.9528 − 13.9457I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.205970 − 0.576400I
a = 0.755148 − 0.705491I
b = 0.205528 − 0.255237I
2.9528 + 13.9457I 0
u = 1.276910 + 0.401103I
a = −0.896426 − 0.738491I
b = −1.290990 + 0.537911I
0.04513 + 11.62910I 0
u = 1.276910 − 0.401103I
a = −0.896426 + 0.738491I
b = −1.290990 − 0.537911I
0.04513 − 11.62910I 0
u = 1.293280 + 0.358506I
a = −0.392146 − 0.430180I
b = −1.32471 + 1.86447I
4.58252 − 4.71009I 0
u = 1.293280 − 0.358506I
a = −0.392146 + 0.430180I
b = −1.32471 − 1.86447I
4.58252 + 4.71009I 0
u = 0.247436 + 1.321120I
a = −0.856364 − 0.582965I
b = −1.67985 + 0.01873I
−3.5583 − 14.1692I 0
u = 0.247436 − 1.321120I
a = −0.856364 + 0.582965I
b = −1.67985 − 0.01873I
−3.5583 + 14.1692I 0
u = 1.232570 + 0.547116I
a = −0.077680 + 0.881790I
b = 0.714028 − 0.014031I
1.01899 − 1.60810I 0
u = 1.232570 − 0.547116I
a = −0.077680 − 0.881790I
b = 0.714028 + 0.014031I
1.01899 + 1.60810I 0
u = 1.305230 + 0.342954I
a = −0.599497 − 0.574301I
b = −2.33437 + 1.24797I
5.60582 + 8.27968I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.305230 − 0.342954I
a = −0.599497 + 0.574301I
b = −2.33437 − 1.24797I
5.60582 − 8.27968I 0
u = 0.564909 + 1.229550I
a = 0.845427 + 0.432384I
b = 1.68044 − 0.00757I
−6.47782 + 2.22599I 0
u = 0.564909 − 1.229550I
a = 0.845427 − 0.432384I
b = 1.68044 + 0.00757I
−6.47782 − 2.22599I 0
u = 1.192540 + 0.639402I
a = −0.786838 − 0.315808I
b = −2.00506 + 1.05260I
4.26869 + 7.87376I 0
u = 1.192540 − 0.639402I
a = −0.786838 + 0.315808I
b = −2.00506 − 1.05260I
4.26869 − 7.87376I 0
u = −0.265433 + 1.341990I
a = 0.729497 − 0.482148I
b = 1.76018 + 0.07687I
7.20039I 0
u = −0.265433 − 1.341990I
a = 0.729497 + 0.482148I
b = 1.76018 − 0.07687I
− 7.20039I 0
u = 1.283650 + 0.482655I
a = −0.602770 + 0.484206I
b = −0.1249520 + 0.0618999I
6.36700 + 8.19408I 0
u = 1.283650 − 0.482655I
a = −0.602770 − 0.484206I
b = −0.1249520 − 0.0618999I
6.36700 − 8.19408I 0
u = 1.258750 + 0.554398I
a = −0.374423 + 0.464179I
b = −0.487833 − 0.467183I
2.17391 + 6.57641I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.258750 − 0.554398I
a = −0.374423 − 0.464179I
b = −0.487833 + 0.467183I
2.17391 − 6.57641I 0
u = 1.135340 + 0.784131I
a = 0.850473 + 0.691097I
b = 1.49489 − 0.84698I
−4.58252 + 4.71009I 0
u = 1.135340 − 0.784131I
a = 0.850473 − 0.691097I
b = 1.49489 + 0.84698I
−4.58252 − 4.71009I 0
u = 0.185347 + 0.585554I
a = −0.35003 − 1.79468I
b = −0.688670 − 0.144827I
1.97744 − 2.96340I 0
u = 0.185347 − 0.585554I
a = −0.35003 + 1.79468I
b = −0.688670 + 0.144827I
1.97744 + 2.96340I 0
u = −1.297830 + 0.489430I
a = 0.324259 + 0.674699I
b = 0.0257068 − 0.0494961I
4.78758 − 2.34370I 0
u = −1.297830 − 0.489430I
a = 0.324259 − 0.674699I
b = 0.0257068 + 0.0494961I
4.78758 + 2.34370I 0
u = 1.279320 + 0.584434I
a = 0.781205 + 0.614295I
b = 2.02209 − 1.10313I
−2.9528 + 13.9457I 0
u = 1.279320 − 0.584434I
a = 0.781205 − 0.614295I
b = 2.02209 + 1.10313I
−2.9528 − 13.9457I 0
u = 1.408300 + 0.045166I
a = −0.499432 + 0.266541I
b = −0.378586 − 0.321891I
8.32646 − 1.63543I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.408300 − 0.045166I
a = −0.499432 − 0.266541I
b = −0.378586 + 0.321891I
8.32646 + 1.63543I 0
u = −0.435451 + 0.389003I
a = −1.12747 − 0.96153I
b = 0.137413 − 0.325683I
2.36266 − 1.01498I 0
u = −0.435451 − 0.389003I
a = −1.12747 + 0.96153I
b = 0.137413 + 0.325683I
2.36266 + 1.01498I 0
u = 1.40535 + 0.22304I
a = −0.171529 − 0.437971I
b = −0.226019 − 0.506573I
4.48506 + 6.68699I 0
u = 1.40535 − 0.22304I
a = −0.171529 + 0.437971I
b = −0.226019 + 0.506573I
4.48506 − 6.68699I 0
u = −1.36242 + 0.44184I
a = 0.494290 − 0.534959I
b = 1.38003 + 1.39517I
6.47782 − 2.22599I 0
u = −1.36242 − 0.44184I
a = 0.494290 + 0.534959I
b = 1.38003 − 1.39517I
6.47782 + 2.22599I 0
u = −0.216830 + 0.523691I
a = 1.74332 − 1.73010I
b = 1.292480 − 0.111831I
−1.43596 + 5.96515I 0. − 8.10373I
u = −0.216830 − 0.523691I
a = 1.74332 + 1.73010I
b = 1.292480 + 0.111831I
−1.43596 − 5.96515I 0. + 8.10373I
u = −0.178547 + 0.516411I
a = −0.122218 + 0.416421I
b = −0.330619 + 0.491536I
− 1.34469I 0. + 4.61499I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.178547 − 0.516411I
a = −0.122218 − 0.416421I
b = −0.330619 − 0.491536I
1.34469I 0. − 4.61499I
u = −1.03479 + 1.03710I
a = 0.263570 − 0.720501I
b = 0.747172 + 0.765685I
−2.34591 + 2.81285I 0
u = −1.03479 − 1.03710I
a = 0.263570 + 0.720501I
b = 0.747172 − 0.765685I
−2.34591 − 2.81285I 0
u = 1.35388 + 0.61965I
a = −0.605314 − 0.641962I
b = −1.54757 + 1.14558I
−3.54069 + 7.65202I 0
u = 1.35388 − 0.61965I
a = −0.605314 + 0.641962I
b = −1.54757 − 1.14558I
−3.54069 − 7.65202I 0
u = −1.35301 + 0.67822I
a = 0.742175 − 0.537418I
b = 1.90996 + 1.10951I
3.5583 − 14.1692I 0
u = −1.35301 − 0.67822I
a = 0.742175 + 0.537418I
b = 1.90996 − 1.10951I
3.5583 + 14.1692I 0
u = 1.50744 + 0.13798I
a = −0.070154 + 0.527546I
b = −0.317443 + 0.319089I
6.00362 + 0.84358I 0
u = 1.50744 − 0.13798I
a = −0.070154 − 0.527546I
b = −0.317443 − 0.319089I
6.00362 − 0.84358I 0
u = −1.47863 + 0.32450I
a = 0.344112 + 0.607007I
b = 0.378046 + 0.301510I
6.16249 − 3.26145I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47863 − 0.32450I
a = 0.344112 − 0.607007I
b = 0.378046 − 0.301510I
6.16249 + 3.26145I 0
u = 1.35762 + 0.69093I
a = −0.828696 − 0.546432I
b = −1.99103 + 0.95291I
21.1497I 0
u = 1.35762 − 0.69093I
a = −0.828696 + 0.546432I
b = −1.99103 − 0.95291I
− 21.1497I 0
u = 0.207532 + 0.427350I
a = −1.92186 − 1.50100I
b = −0.517076 + 0.759095I
−0.85382 − 2.87397I −2.88628 − 0.20260I
u = 0.207532 − 0.427350I
a = −1.92186 + 1.50100I
b = −0.517076 − 0.759095I
−0.85382 + 2.87397I −2.88628 + 0.20260I
u = 0.20891 + 1.51897I
a = −0.606405 − 0.203780I
b = −1.96445 + 0.10305I
−7.65630 − 0.75131I 0
u = 0.20891 − 1.51897I
a = −0.606405 + 0.203780I
b = −1.96445 − 0.10305I
−7.65630 + 0.75131I 0
u = −1.10477 + 1.07377I
a = −0.760658 + 0.210826I
b = −1.79442 − 0.33101I
−1.38239 − 3.23354I 0
u = −1.10477 − 1.07377I
a = −0.760658 − 0.210826I
b = −1.79442 + 0.33101I
−1.38239 + 3.23354I 0
u = 0.450798
a = −0.595776
b = 0.766839
−1.81166 −4.55920
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.57152 + 0.18410I
a = −0.056831 + 0.352019I
b = 0.079005 − 0.532336I
− 5.43194I 0
u = −1.57152 − 0.18410I
a = −0.056831 − 0.352019I
b = 0.079005 + 0.532336I
5.43194I 0
u = −0.397901 + 0.046446I
a = −1.39115 + 3.54377I
b = −0.008730 − 1.280940I
−4.41467 − 7.92340I −12.51366 + 1.15649I
u = −0.397901 − 0.046446I
a = −1.39115 − 3.54377I
b = −0.008730 + 1.280940I
−4.41467 + 7.92340I −12.51366 − 1.15649I
u = −1.42963 + 0.81345I
a = 0.646336 − 0.419822I
b = 1.91014 + 0.78945I
−0.04513 − 11.62910I 0
u = −1.42963 − 0.81345I
a = 0.646336 + 0.419822I
b = 1.91014 − 0.78945I
−0.04513 + 11.62910I 0
u = 1.59015 + 0.45995I
a = 0.372061 + 0.375587I
b = 2.01029 − 1.11665I
−1.37257 + 1.21094I 0
u = 1.59015 − 0.45995I
a = 0.372061 − 0.375587I
b = 2.01029 + 1.11665I
−1.37257 − 1.21094I 0
u = −1.76980 + 0.21632I
a = 0.117312 + 0.584556I
b = −0.000799 − 0.451724I
3.54069 + 7.65202I 0
u = −1.76980 − 0.21632I
a = 0.117312 − 0.584556I
b = −0.000799 + 0.451724I
3.54069 − 7.65202I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.81959 + 0.14514I
a = −0.072752 + 0.427904I
b = −0.080946 − 0.709949I
7.65630 − 0.75131I 0
u = 1.81959 − 0.14514I
a = −0.072752 − 0.427904I
b = −0.080946 + 0.709949I
7.65630 + 0.75131I 0
u = −2.21009 + 0.32775I
a = −0.148774 − 0.448289I
b = −0.78827 + 1.41209I
−2.01208 + 2.54820I 0
u = −2.21009 − 0.32775I
a = −0.148774 + 0.448289I
b = −0.78827 − 1.41209I
−2.01208 − 2.54820I 0
23
II. I
u
2
= h1.04 × 10
80
u
53
− 1.42 × 10
80
u
52
+ · · · + 1.19 × 10
79
b − 1.18 ×
10
81
, −2.63 × 10
81
u
53
+ 5.33 × 10
81
u
52
+ · · · + 7.61 × 10
80
a − 2.25 ×
10
82
, u
54
− 2u
53
+ · · · + 8u + 16i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
9
=
u
−u
3
+ u
a
10
=
3.45594u
53
− 6.99566u
52
+ ··· − 105.460u + 29.5874
−8.74000u
53
+ 11.9219u
52
+ ··· + 309.795u + 99.2446
a
7
=
−2.18260u
53
+ 0.738447u
52
+ ··· − 70.6763u − 81.9620
10.4780u
53
− 9.74024u
52
+ ··· − 542.436u − 361.137
a
11
=
−15.2977u
53
+ 26.6534u
52
+ ··· + 1147.55u + 571.163
−0.392320u
53
+ 1.98589u
52
+ ··· − 74.5250u − 68.0580
a
6
=
−12.6606u
53
+ 10.4787u
52
+ ··· + 471.760u + 279.175
10.4780u
53
− 9.74024u
52
+ ··· − 542.436u − 361.137
a
4
=
−14.6078u
53
+ 30.2782u
52
+ ··· + 142.768u − 4.93338
1.30067u
53
− 2.19886u
52
+ ··· − 97.0900u − 27.9589
a
1
=
11.1379u
53
− 19.0066u
52
+ ··· − 300.626u − 131.086
3.46250u
53
− 3.58174u
52
+ ··· − 36.4876u − 85.2563
a
5
=
18.1237u
53
− 28.2933u
52
+ ··· − 1440.51u − 663.019
7.22123u
53
− 7.33122u
52
+ ··· − 318.632u − 171.770
a
12
=
10.8029u
53
− 17.2672u
52
+ ··· − 257.701u − 139.433
2.14444u
53
− 0.974179u
52
+ ··· + 9.63126u − 76.4954
(ii) Obstruction class = 1
(iii) Cusp Shapes = −5.15262u
53
− 12.5496u
52
+ ··· + 3377.14u + 1169.84
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
54
+ 7u
53
+ ··· − 21u + 1
c
2
, c
4
u
54
− 2u
53
+ ··· + 8u + 16
c
3
u
54
− 7u
53
+ ··· + 21u + 1
c
5
u
54
− 3u
53
+ ··· + 138u + 9
c
6
u
54
+ 3u
53
+ ··· − 138u + 9
c
7
, c
12
u
54
+ 4u
53
+ ··· − 4u + 1
c
8
, c
11
u
54
+ 2u
53
+ ··· − 8u + 16
c
9
, c
10
u
54
− 4u
53
+ ··· + 4u + 1
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
y
54
− 27y
53
+ ··· − 73y + 1
c
2
, c
4
, c
8
c
11
y
54
− 50y
53
+ ··· − 7840y + 256
c
5
, c
6
y
54
+ 13y
53
+ ··· − 2340y + 81
c
7
, c
9
, c
10
c
12
y
54
+ 16y
53
+ ··· + 52y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.869429 + 0.218773I
a = −2.03773 + 0.04753I
b = −0.336670 + 0.075855I
1.45049 + 1.21986I 57.0854 − 40.2070I
u = −0.869429 − 0.218773I
a = −2.03773 − 0.04753I
b = −0.336670 − 0.075855I
1.45049 − 1.21986I 57.0854 + 40.2070I
u = −1.090900 + 0.169112I
a = 1.80456 + 0.02727I
b = 0.410823 − 0.046557I
2.04183 − 2.54486I 0
u = −1.090900 − 0.169112I
a = 1.80456 − 0.02727I
b = 0.410823 + 0.046557I
2.04183 + 2.54486I 0
u = −0.828028 + 0.321734I
a = 0.480110 − 0.379435I
b = 3.24172 − 0.66003I
1.87188 − 8.11534I 0. + 16.9837I
u = −0.828028 − 0.321734I
a = 0.480110 + 0.379435I
b = 3.24172 + 0.66003I
1.87188 + 8.11534I 0. − 16.9837I
u = −0.904047 + 0.659497I
a = −1.17089 + 0.84461I
b = −1.49057 − 0.98524I
−1.87188 − 8.11534I 0
u = −0.904047 − 0.659497I
a = −1.17089 − 0.84461I
b = −1.49057 + 0.98524I
−1.87188 + 8.11534I 0
u = −0.849906 + 0.793198I
a = −0.692288 + 0.843980I
b = −1.54118 + 0.13913I
−2.03266 + 2.65663I 0
u = −0.849906 − 0.793198I
a = −0.692288 − 0.843980I
b = −1.54118 − 0.13913I
−2.03266 − 2.65663I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.792156 + 0.196707I
a = −0.240645 + 0.864813I
b = −2.94724 − 0.41781I
−3.84897 − 1.00517I −9.22982 + 6.44169I
u = −0.792156 − 0.196707I
a = −0.240645 − 0.864813I
b = −2.94724 + 0.41781I
−3.84897 + 1.00517I −9.22982 − 6.44169I
u = 1.145360 + 0.319558I
a = −0.880961 + 0.690527I
b = −0.500746 + 0.740234I
5.73971 + 1.07035I 0
u = 1.145360 − 0.319558I
a = −0.880961 − 0.690527I
b = −0.500746 − 0.740234I
5.73971 − 1.07035I 0
u = 0.653245 + 0.470715I
a = −0.543907 − 0.621686I
b = −2.57317 + 0.79320I
2.03266 + 2.65663I −4.46574 − 5.33633I
u = 0.653245 − 0.470715I
a = −0.543907 + 0.621686I
b = −2.57317 − 0.79320I
2.03266 − 2.65663I −4.46574 + 5.33633I
u = 0.638262 + 0.374208I
a = 1.28511 + 1.18854I
b = 1.376700 + 0.019793I
−6.73589 − 1.26667I −6.69405 + 2.04677I
u = 0.638262 − 0.374208I
a = 1.28511 − 1.18854I
b = 1.376700 − 0.019793I
−6.73589 + 1.26667I −6.69405 − 2.04677I
u = −0.588634 + 0.447552I
a = −0.04576 − 1.54096I
b = 0.026188 + 0.251132I
1.32246I 0. + 3.36133I
u = −0.588634 − 0.447552I
a = −0.04576 + 1.54096I
b = 0.026188 − 0.251132I
− 1.32246I 0. − 3.36133I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.724648 + 0.139347I
a = 0.24894 + 1.60970I
b = 1.79453 − 1.24227I
−5.73971 − 1.07035I −8.63938 + 5.91837I
u = 0.724648 − 0.139347I
a = 0.24894 − 1.60970I
b = 1.79453 + 1.24227I
−5.73971 + 1.07035I −8.63938 − 5.91837I
u = 0.707807 + 0.170342I
a = 1.97699 − 0.45379I
b = 0.209015 − 0.584203I
3.84897 + 1.00517I 9.22982 − 6.44169I
u = 0.707807 − 0.170342I
a = 1.97699 + 0.45379I
b = 0.209015 + 0.584203I
3.84897 − 1.00517I 9.22982 + 6.44169I
u = −0.369756 + 0.613034I
a = −1.27882 + 0.60745I
b = −0.383031 − 0.141566I
−0.22459 − 3.69992I 2.04886 + 6.32993I
u = −0.369756 − 0.613034I
a = −1.27882 − 0.60745I
b = −0.383031 + 0.141566I
−0.22459 + 3.69992I 2.04886 − 6.32993I
u = 1.107490 + 0.655149I
a = 0.778596 + 0.847301I
b = 1.28273 − 0.86800I
−4.65093 + 5.75657I 0
u = 1.107490 − 0.655149I
a = 0.778596 − 0.847301I
b = 1.28273 + 0.86800I
−4.65093 − 5.75657I 0
u = −1.226340 + 0.494532I
a = 0.884596 − 0.489187I
b = 2.26321 + 1.04304I
4.13811 − 8.07694I 0
u = −1.226340 − 0.494532I
a = 0.884596 + 0.489187I
b = 2.26321 − 1.04304I
4.13811 + 8.07694I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.046322 + 0.663496I
a = 1.33334 − 0.81608I
b = 1.45790 + 0.23377I
0.22459 + 3.69992I −2.04886 − 6.32993I
u = 0.046322 − 0.663496I
a = 1.33334 + 0.81608I
b = 1.45790 − 0.23377I
0.22459 − 3.69992I −2.04886 + 6.32993I
u = 1.263890 + 0.460405I
a = −0.732833 − 0.712498I
b = −1.74408 + 0.39189I
9.86076I 0
u = 1.263890 − 0.460405I
a = −0.732833 + 0.712498I
b = −1.74408 − 0.39189I
− 9.86076I 0
u = 1.360680 + 0.258856I
a = −0.143229 − 0.233676I
b = −0.235206 − 0.662799I
4.82258 + 6.51202I 0
u = 1.360680 − 0.258856I
a = −0.143229 + 0.233676I
b = −0.235206 + 0.662799I
4.82258 − 6.51202I 0
u = 0.598526 + 0.076271I
a = 0.92579 + 2.46269I
b = −0.143188 − 1.288240I
−4.13811 + 8.07694I 9.5233 − 12.7436I
u = 0.598526 − 0.076271I
a = 0.92579 − 2.46269I
b = −0.143188 + 1.288240I
−4.13811 − 8.07694I 9.5233 + 12.7436I
u = 1.393970 + 0.114501I
a = −0.209829 + 0.242319I
b = −0.667313 + 0.586542I
6.73589 + 1.26667I 0
u = 1.393970 − 0.114501I
a = −0.209829 − 0.242319I
b = −0.667313 − 0.586542I
6.73589 − 1.26667I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.17200 + 1.42074I
a = 0.684095 + 0.073883I
b = 1.91332 + 0.14007I
−7.81742 + 0.04226I 0
u = 0.17200 − 1.42074I
a = 0.684095 − 0.073883I
b = 1.91332 − 0.14007I
−7.81742 − 0.04226I 0
u = −0.523455 + 0.211539I
a = −1.88340 + 0.80243I
b = −1.388660 + 0.116315I
−4.82258 − 6.51202I −11.46021 + 0.58064I
u = −0.523455 − 0.211539I
a = −1.88340 − 0.80243I
b = −1.388660 − 0.116315I
−4.82258 + 6.51202I −11.46021 − 0.58064I
u = −1.45793 + 0.06535I
a = 0.038356 − 0.286282I
b = 1.35584 + 0.99894I
4.65093 + 5.75657I 0
u = −1.45793 − 0.06535I
a = 0.038356 + 0.286282I
b = 1.35584 − 0.99894I
4.65093 − 5.75657I 0
u = −1.54454 + 0.14591I
a = 0.171532 − 0.369423I
b = 0.146795 + 0.438806I
− 5.74893I 0
u = −1.54454 − 0.14591I
a = 0.171532 + 0.369423I
b = 0.146795 − 0.438806I
5.74893I 0
u = 1.74883 + 0.00308I
a = −0.085924 + 0.367182I
b = −0.373437 − 0.739605I
7.81742 − 0.04226I 0
u = 1.74883 − 0.00308I
a = −0.085924 − 0.367182I
b = −0.373437 + 0.739605I
7.81742 + 0.04226I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.59107 + 0.73804I
a = −0.408454 + 0.300159I
b = −2.19524 − 1.05528I
−1.45049 − 1.21986I 0
u = −1.59107 − 0.73804I
a = −0.408454 − 0.300159I
b = −2.19524 + 1.05528I
−1.45049 + 1.21986I 0
u = 2.07517 + 0.48100I
a = 0.117649 − 0.480080I
b = 0.54096 + 1.33376I
−2.04183 − 2.54486I 0
u = 2.07517 − 0.48100I
a = 0.117649 + 0.480080I
b = 0.54096 − 1.33376I
−2.04183 + 2.54486I 0
32
III. I
u
3
= hb, a + 1, u + 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
−1
a
3
=
1
−1
a
9
=
−1
0
a
10
=
−1
0
a
7
=
1
−1
a
11
=
−2
1
a
6
=
2
−1
a
4
=
−1
0
a
1
=
1
0
a
5
=
1
−1
a
12
=
1
0
(ii) Obstruction class = −1
(iii) Cusp Shapes = 6
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
, c
12
u
c
2
, c
4
, c
5
c
6
, c
7
, c
8
c
10
, c
11
u − 1
c
3
u + 1
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
, c
12
y
c
2
, c
3
, c
4
c
5
, c
6
, c
7
c
8
, c
10
, c
11
y −1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 0
1.64493 6.00000
36
IV. I
u
4
= hb − 1, a, u − 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
1
a
3
=
1
−1
a
9
=
1
0
a
10
=
0
1
a
7
=
0
1
a
11
=
0
1
a
6
=
−1
1
a
4
=
1
−1
a
1
=
2
−1
a
5
=
1
0
a
12
=
1
−1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u − 1
c
2
, c
4
, c
5
c
6
, c
8
, c
9
c
11
, c
12
u + 1
c
3
, c
7
, c
10
u
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
5
, c
6
, c
8
c
9
, c
11
, c
12
y −1
c
3
, c
7
, c
10
y
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 0
b = 1.00000
−1.64493 −6.00000
40
V. I
v
1
= ha, b − 1, v
2
+ v + 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
v
0
a
3
=
1
0
a
9
=
v
0
a
10
=
0
1
a
7
=
v
v
a
11
=
−v − 1
−v
a
6
=
0
v
a
4
=
1
v + 1
a
1
=
−v
−v
a
5
=
1
v + 1
a
12
=
−v − 1
−v
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8v + 4
41
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
9
c
10
u
2
− u + 1
c
2
, c
4
, c
8
c
11
u
2
c
3
, c
5
, c
7
c
12
u
2
+ u + 1
42
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
5
c
6
, c
7
, c
9
c
10
, c
12
y
2
+ y + 1
c
2
, c
4
, c
8
c
11
y
2
43
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −0.500000 + 0.866025I
a = 0
b = 1.00000
− 4.05977I 0. + 6.92820I
v = −0.500000 − 0.866025I
a = 0
b = 1.00000
4.05977I 0. − 6.92820I
44
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u − 1)(u
2
− u + 1)(u
54
+ 7u
53
+ ··· − 21u + 1)
· (u
184
− 24u
183
+ ··· − 311u + 11)
c
2
u
2
(u − 1)(u + 1)(u
54
− 2u
53
+ ··· + 8u + 16)
· (u
184
+ 3u
183
+ ··· + 16532u − 707552)
c
3
u(u + 1)(u
2
+ u + 1)(u
54
− 7u
53
+ ··· + 21u + 1)
· (u
184
+ 24u
183
+ ··· + 311u + 11)
c
4
u
2
(u − 1)(u + 1)(u
54
− 2u
53
+ ··· + 8u + 16)
· (u
184
− 3u
183
+ ··· − 16532u − 707552)
c
5
(u − 1)(u + 1)(u
2
+ u + 1)(u
54
− 3u
53
+ ··· + 138u + 9)
· (u
184
+ 3u
183
+ ··· − 9319301u − 540938)
c
6
(u − 1)(u + 1)(u
2
− u + 1)(u
54
+ 3u
53
+ ··· − 138u + 9)
· (u
184
− 3u
183
+ ··· + 9319301u − 540938)
c
7
u(u − 1)(u
2
+ u + 1)(u
54
+ 4u
53
+ ··· − 4u + 1)
· (u
184
+ 7u
183
+ ··· − 35972490u − 2292697)
c
8
u
2
(u − 1)(u + 1)(u
54
+ 2u
53
+ ··· − 8u + 16)
· (u
184
+ 3u
183
+ ··· + 16532u − 707552)
c
9
u(u + 1)(u
2
− u + 1)(u
54
− 4u
53
+ ··· + 4u + 1)
· (u
184
− 7u
183
+ ··· + 35972490u − 2292697)
c
10
u(u − 1)(u
2
− u + 1)(u
54
− 4u
53
+ ··· + 4u + 1)
· (u
184
+ 7u
183
+ ··· − 35972490u − 2292697)
c
11
u
2
(u − 1)(u + 1)(u
54
+ 2u
53
+ ··· − 8u + 16)
· (u
184
− 3u
183
+ ··· − 16532u − 707552)
c
12
u(u + 1)(u
2
+ u + 1)(u
54
+ 4u
53
+ ··· − 4u + 1)
· (u
184
− 7u
183
+ ··· + 35972490u − 2292697)
45
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
3
y(y − 1)(y
2
+ y + 1)(y
54
− 27y
53
+ ··· − 73y + 1)
· (y
184
− 28y
183
+ ··· − 4453y + 121)
c
2
, c
4
, c
8
c
11
y
2
(y − 1)
2
(y
54
− 50y
53
+ ··· − 7840y + 256)
· (y
184
− 123y
183
+ ··· − 24369037776528y + 500629832704)
c
5
, c
6
((y − 1)
2
)(y
2
+ y + 1)(y
54
+ 13y
53
+ ··· − 2340y + 81)
· (y
184
+ y
183
+ ··· − 44470573435141y + 292613919844)
c
7
, c
9
, c
10
c
12
y(y − 1)(y
2
+ y + 1)(y
54
+ 16y
53
+ ··· + 52y + 1)
· (y
184
+ 87y
183
+ ··· + 234883455129296y + 5256459533809)
46
