12a
1102
(K12a
1102
)
A knot diagram
1
Linearized knot diagam
4 7 11 9 1 3 10 5 12 6 2 8
Solving Sequence
5,8 9,12
10 1 6 4 2 7 11 3
c
8
c
9
c
12
c
5
c
4
c
1
c
7
c
11
c
3
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.67350 × 10
1261
u
203
+ 1.84172 × 10
1262
u
202
+ ··· + 4.40006 × 10
1260
b + 1.04500 × 10
1265
,
− 4.46111 × 10
1264
u
203
+ 4.52131 × 10
1265
u
202
+ ··· + 1.56246 × 10
1264
a + 2.45131 × 10
1269
,
u
204
+ 3u
203
+ ··· + 4840u + 3551i
I
u
2
= h−1.71279 × 10
68
u
49
− 6.40240 × 10
67
u
48
+ ··· + 2.21690 × 10
67
b + 1.98493 × 10
69
,
− 3.49182 × 10
66
u
49
− 3.83591 × 10
66
u
48
+ ··· + 1.30406 × 10
66
a + 2.94979 × 10
67
,
u
50
+ 3u
49
+ ··· + 13u + 3i
I
u
3
= hb + u, a + u, u
2
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 256 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
= h3.67 × 10
1261
u
203
+ 1.84 × 10
1262
u
202
+ · · · + 4.40 × 10
1260
b + 1.04 ×
10
1265
, −4.46 × 10
1264
u
203
+ 4.52 × 10
1265
u
202
+ · · · + 1.56 × 10
1264
a +
2.45 × 10
1269
, u
204
+ 3u
203
+ · · · + 4840u + 3551i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
2.85518u
203
− 28.9371u
202
+ ··· − 223331.u − 156888.
−8.34874u
203
− 41.8568u
202
+ ··· − 51131.0u − 23749.6
a
10
=
50.8749u
203
+ 136.840u
202
+ ··· − 27276.5u − 182971.
7.65173u
203
+ 12.0064u
202
+ ··· − 34318.5u − 54732.4
a
1
=
11.2039u
203
+ 12.9197u
202
+ ··· − 172200.u − 133138.
−8.34874u
203
− 41.8568u
202
+ ··· − 51131.0u − 23749.6
a
6
=
−36.9992u
203
− 133.745u
202
+ ··· − 371456.u − 68804.1
−29.0147u
203
− 81.8505u
202
+ ··· + 18063.1u + 91150.3
a
4
=
−u
u
3
+ u
a
2
=
12.2441u
203
− 7.07902u
202
+ ··· − 347730.u − 234824.
−0.719291u
203
− 9.75512u
202
+ ··· + 16196.1u − 4159.77
a
7
=
13.7845u
203
+ 31.5172u
202
+ ··· − 61495.8u − 114855.
4.93226u
203
− 15.2298u
202
+ ··· − 370958.u − 217639.
a
11
=
35.9709u
203
+ 143.181u
202
+ ··· + 533783.u + 142600.
−21.6892u
203
− 79.6632u
202
+ ··· − 122288.u − 12547.3
a
3
=
67.5293u
203
+ 213.644u
202
+ ··· + 486394.u + 5854.21
24.6346u
203
+ 65.3690u
202
+ ··· + 110435.u − 46413.4
(ii) Obstruction class = −1
(iii) Cusp Shapes = −265.682u
203
− 624.980u
202
+ ··· + 724985.u + 1.44105 × 10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
4(4u
204
− 110u
203
+ ··· − 2861790u + 86273)
c
2
, c
6
u
204
+ 3u
203
+ ··· + 4840u + 3551
c
3
4(4u
204
− 26u
203
+ ··· − 4.51642 × 10
7
u + 1.92815 × 10
7
)
c
4
, c
8
u
204
− 3u
203
+ ··· − 4840u + 3551
c
5
u
204
+ 2u
203
+ ··· + 3563896u + 160336
c
7
4(4u
204
+ 110u
203
+ ··· + 2861790u + 86273)
c
9
u
204
+ 10u
203
+ ··· + 6000u + 2125
c
10
u
204
− 2u
203
+ ··· − 3563896u + 160336
c
11
u
204
− 10u
203
+ ··· − 6000u + 2125
c
12
4(4u
204
+ 26u
203
+ ··· + 4.51642 × 10
7
u + 1.92815 × 10
7
)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
16(16y
204
− 12y
203
+ ··· + 4.27091 × 10
9
y + 7.44303 × 10
9
)
c
2
, c
4
, c
6
c
8
y
204
+ 131y
203
+ ··· + 1159746294y + 12609601
c
3
, c
12
16
· (16y
204
− 748y
203
+ ··· + 42675043546023867y + 371776280813001)
c
5
, c
10
y
204
− 16y
203
+ ··· + 2207655010624y + 25707632896
c
9
, c
11
y
204
− 46y
203
+ ··· + 487217500y + 4515625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.051229 + 0.997299I
a = −1.95825 − 1.29139I
b = −0.780105 − 0.063644I
−3.51918 − 1.04221I 0
u = −0.051229 − 0.997299I
a = −1.95825 + 1.29139I
b = −0.780105 + 0.063644I
−3.51918 + 1.04221I 0
u = −0.054273 + 1.001330I
a = 0.779443 + 0.927451I
b = 0.650174 − 0.786115I
−3.56627 + 0.68723I 0
u = −0.054273 − 1.001330I
a = 0.779443 − 0.927451I
b = 0.650174 + 0.786115I
−3.56627 − 0.68723I 0
u = 0.212067 + 0.965336I
a = −0.968189 − 0.329212I
b = −0.625468 − 1.070670I
−1.17263 + 3.43391I 0
u = 0.212067 − 0.965336I
a = −0.968189 + 0.329212I
b = −0.625468 + 1.070670I
−1.17263 − 3.43391I 0
u = −0.401804 + 0.934446I
a = 0.381037 − 0.009674I
b = 0.274551 + 1.198520I
2.37355 − 5.11261I 0
u = −0.401804 − 0.934446I
a = 0.381037 + 0.009674I
b = 0.274551 − 1.198520I
2.37355 + 5.11261I 0
u = 0.148839 + 1.018130I
a = −2.62495 + 0.06301I
b = −1.75547 − 0.08177I
−0.97297 + 2.59722I 0
u = 0.148839 − 1.018130I
a = −2.62495 − 0.06301I
b = −1.75547 + 0.08177I
−0.97297 − 2.59722I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.011556 + 1.031150I
a = 1.49935 − 0.88126I
b = 0.929016 + 0.650830I
−1.58126 − 5.70438I 0
u = −0.011556 − 1.031150I
a = 1.49935 + 0.88126I
b = 0.929016 − 0.650830I
−1.58126 + 5.70438I 0
u = −0.187032 + 1.014480I
a = −2.58656 − 0.47173I
b = −1.47357 − 0.21915I
− 4.08470I 0
u = −0.187032 − 1.014480I
a = −2.58656 + 0.47173I
b = −1.47357 + 0.21915I
4.08470I 0
u = −0.459756 + 0.850378I
a = −0.515838 + 1.247530I
b = −1.169510 − 0.029616I
−0.58413 + 4.40088I 0
u = −0.459756 − 0.850378I
a = −0.515838 − 1.247530I
b = −1.169510 + 0.029616I
−0.58413 − 4.40088I 0
u = 0.211289 + 0.942603I
a = 0.013430 + 1.023340I
b = 0.55197 + 1.84637I
4.37297 + 0.53308I 0
u = 0.211289 − 0.942603I
a = 0.013430 − 1.023340I
b = 0.55197 − 1.84637I
4.37297 − 0.53308I 0
u = 0.307793 + 0.989208I
a = 0.13731 + 1.41503I
b = 0.58364 + 2.00724I
2.62359 + 12.41050I 0
u = 0.307793 − 0.989208I
a = 0.13731 − 1.41503I
b = 0.58364 − 2.00724I
2.62359 − 12.41050I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.746233 + 0.723442I
a = 0.836172 − 0.797491I
b = 0.967089 − 0.556374I
3.95477 + 3.85138I 0
u = −0.746233 − 0.723442I
a = 0.836172 + 0.797491I
b = 0.967089 + 0.556374I
3.95477 − 3.85138I 0
u = 0.226179 + 0.932604I
a = 3.12258 − 0.52225I
b = 0.411370 − 0.470927I
2.66918 + 11.39430I 0
u = 0.226179 − 0.932604I
a = 3.12258 + 0.52225I
b = 0.411370 + 0.470927I
2.66918 − 11.39430I 0
u = 0.950146 + 0.099052I
a = 0.110065 + 0.108369I
b = 0.920127 + 0.718542I
−0.33838 − 4.08024I 0
u = 0.950146 − 0.099052I
a = 0.110065 − 0.108369I
b = 0.920127 − 0.718542I
−0.33838 + 4.08024I 0
u = −0.268180 + 1.010710I
a = 0.16343 − 1.43207I
b = 0.66592 − 1.98156I
−1.40036 − 6.34486I 0
u = −0.268180 − 1.010710I
a = 0.16343 + 1.43207I
b = 0.66592 + 1.98156I
−1.40036 + 6.34486I 0
u = −0.829479 + 0.462983I
a = −0.166613 − 0.610878I
b = 1.18333 − 0.84935I
3.23806 + 5.58875I 0
u = −0.829479 − 0.462983I
a = −0.166613 + 0.610878I
b = 1.18333 + 0.84935I
3.23806 − 5.58875I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.939682 + 0.095860I
a = −0.337457 + 0.268608I
b = −0.424168 − 0.795765I
5.93767 − 3.95269I 0
u = 0.939682 − 0.095860I
a = −0.337457 − 0.268608I
b = −0.424168 + 0.795765I
5.93767 + 3.95269I 0
u = 0.695440 + 0.796725I
a = 0.266504 − 0.702020I
b = −0.481935 + 0.457813I
−1.26449 + 1.30166I 0
u = 0.695440 − 0.796725I
a = 0.266504 + 0.702020I
b = −0.481935 − 0.457813I
−1.26449 − 1.30166I 0
u = −0.833528 + 0.432817I
a = 0.348893 + 0.168592I
b = −0.686112 − 0.669672I
1.95629 − 8.25786I 0
u = −0.833528 − 0.432817I
a = 0.348893 − 0.168592I
b = −0.686112 + 0.669672I
1.95629 + 8.25786I 0
u = 0.801995 + 0.482457I
a = 0.819543 − 0.367997I
b = −0.349244 − 0.796838I
3.56627 − 0.68723I 0
u = 0.801995 − 0.482457I
a = 0.819543 + 0.367997I
b = −0.349244 + 0.796838I
3.56627 + 0.68723I 0
u = −1.052890 + 0.171869I
a = 0.167718 + 0.136237I
b = −0.881069 + 0.730076I
5.51079 + 4.29685I 0
u = −1.052890 − 0.171869I
a = 0.167718 − 0.136237I
b = −0.881069 − 0.730076I
5.51079 − 4.29685I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.027960 + 0.287527I
a = −0.0552375 − 0.0154616I
b = −0.402642 + 0.588854I
3.12986 − 1.22046I 0
u = −1.027960 − 0.287527I
a = −0.0552375 + 0.0154616I
b = −0.402642 − 0.588854I
3.12986 + 1.22046I 0
u = −0.434269 + 0.993849I
a = −1.010430 − 0.622410I
b = 0.0229985 + 0.1125580I
3.24228 − 6.46386I 0
u = −0.434269 − 0.993849I
a = −1.010430 + 0.622410I
b = 0.0229985 − 0.1125580I
3.24228 + 6.46386I 0
u = 0.902975 + 0.041911I
a = 0.222078 + 0.022680I
b = 0.901835 − 0.742438I
−0.36015 + 4.15367I 0
u = 0.902975 − 0.041911I
a = 0.222078 − 0.022680I
b = 0.901835 + 0.742438I
−0.36015 − 4.15367I 0
u = −0.198646 + 0.863874I
a = 3.19678 − 0.09619I
b = 0.268321 + 0.498301I
−0.34975 − 5.08554I 0
u = −0.198646 − 0.863874I
a = 3.19678 + 0.09619I
b = 0.268321 − 0.498301I
−0.34975 + 5.08554I 0
u = 0.125761 + 1.107940I
a = −1.57308 + 0.88124I
b = −0.766669 − 0.031549I
−2.37355 + 5.11261I 0
u = 0.125761 − 1.107940I
a = −1.57308 − 0.88124I
b = −0.766669 + 0.031549I
−2.37355 − 5.11261I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.406129 + 0.780005I
a = 1.77929 − 0.56271I
b = 0.17390 − 1.68668I
6.09283 + 1.75066I 0
u = 0.406129 − 0.780005I
a = 1.77929 + 0.56271I
b = 0.17390 + 1.68668I
6.09283 − 1.75066I 0
u = 0.262782 + 0.838291I
a = −2.27900 + 1.10877I
b = −0.44587 + 1.90754I
5.17607 + 1.25050I 0
u = 0.262782 − 0.838291I
a = −2.27900 − 1.10877I
b = −0.44587 − 1.90754I
5.17607 − 1.25050I 0
u = 1.113650 + 0.135671I
a = −0.0212920 − 0.0847913I
b = −0.971497 − 0.742864I
− 9.69632I 0
u = 1.113650 − 0.135671I
a = −0.0212920 + 0.0847913I
b = −0.971497 + 0.742864I
9.69632I 0
u = 0.341590 + 0.803796I
a = 2.20474 − 0.13978I
b = 0.346484 − 0.722096I
5.80970 + 0.97005I 0
u = 0.341590 − 0.803796I
a = 2.20474 + 0.13978I
b = 0.346484 + 0.722096I
5.80970 − 0.97005I 0
u = −0.646136 + 0.562458I
a = 1.243000 + 0.275490I
b = −0.077992 + 0.704835I
3.51918 + 1.04221I 0
u = −0.646136 − 0.562458I
a = 1.243000 − 0.275490I
b = −0.077992 − 0.704835I
3.51918 − 1.04221I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.100020 + 0.337987I
a = 0.227969 + 0.305234I
b = 1.089140 + 0.512097I
0.34975 − 5.08554I 0
u = 1.100020 − 0.337987I
a = 0.227969 − 0.305234I
b = 1.089140 − 0.512097I
0.34975 + 5.08554I 0
u = −1.146350 + 0.147011I
a = −0.083504 + 0.157855I
b = −0.992856 + 0.777619I
3.7066 + 15.6856I 0
u = −1.146350 − 0.147011I
a = −0.083504 − 0.157855I
b = −0.992856 − 0.777619I
3.7066 − 15.6856I 0
u = −0.577482 + 0.614932I
a = −1.63594 + 0.97333I
b = −1.267250 − 0.087270I
4.13767 − 8.80378I 0
u = −0.577482 − 0.614932I
a = −1.63594 − 0.97333I
b = −1.267250 + 0.087270I
4.13767 + 8.80378I 0
u = −1.177070 + 0.065224I
a = 0.176090 − 0.259745I
b = 0.764803 − 0.725898I
1.40036 + 6.34486I 0
u = −1.177070 − 0.065224I
a = 0.176090 + 0.259745I
b = 0.764803 + 0.725898I
1.40036 − 6.34486I 0
u = 0.460944 + 1.085140I
a = −0.695550 − 0.967192I
b = −0.911272 − 0.058061I
−4.15789 − 0.07680I 0
u = 0.460944 − 1.085140I
a = −0.695550 + 0.967192I
b = −0.911272 + 0.058061I
−4.15789 + 0.07680I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.430137 + 1.103930I
a = 1.009960 − 0.761489I
b = 1.253360 − 0.644602I
1.13472 − 3.92428I 0
u = −0.430137 − 1.103930I
a = 1.009960 + 0.761489I
b = 1.253360 + 0.644602I
1.13472 + 3.92428I 0
u = 0.812439 + 0.049180I
a = 0.277213 + 0.853767I
b = 0.759008 + 0.392331I
0.65302 − 2.35043I 0
u = 0.812439 − 0.049180I
a = 0.277213 − 0.853767I
b = 0.759008 − 0.392331I
0.65302 + 2.35043I 0
u = 0.179935 + 0.791252I
a = −2.79268 + 0.98444I
b = −1.04510 + 1.05675I
4.91227 + 1.46033I 0
u = 0.179935 − 0.791252I
a = −2.79268 − 0.98444I
b = −1.04510 − 1.05675I
4.91227 − 1.46033I 0
u = 0.211600 + 1.171730I
a = 1.22377 + 1.59322I
b = 0.491009 − 0.349867I
−3.23806 + 5.58875I 0
u = 0.211600 − 1.171730I
a = 1.22377 − 1.59322I
b = 0.491009 + 0.349867I
−3.23806 − 5.58875I 0
u = −0.318190 + 0.736951I
a = 0.683196 − 1.069640I
b = −0.225095 + 1.023770I
−0.21738 + 2.51186I 0
u = −0.318190 − 0.736951I
a = 0.683196 + 1.069640I
b = −0.225095 − 1.023770I
−0.21738 − 2.51186I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.358100 + 0.711020I
a = 0.674272 + 0.287348I
b = −0.075062 − 1.247790I
6.04666 + 2.26274I 0
u = 0.358100 − 0.711020I
a = 0.674272 − 0.287348I
b = −0.075062 + 1.247790I
6.04666 − 2.26274I 0
u = 0.783654 + 0.135648I
a = 0.465779 − 0.221697I
b = −0.866825 + 0.444846I
−3.12986 + 1.22046I 0
u = 0.783654 − 0.135648I
a = 0.465779 + 0.221697I
b = −0.866825 − 0.444846I
−3.12986 − 1.22046I 0
u = −0.316560 + 1.166380I
a = −1.83827 + 0.18130I
b = −0.939328 − 1.026530I
−3.95477 − 3.85138I 0
u = −0.316560 − 1.166380I
a = −1.83827 − 0.18130I
b = −0.939328 + 1.026530I
−3.95477 + 3.85138I 0
u = −0.085483 + 0.784159I
a = 1.49002 − 0.55040I
b = 1.40094 − 1.20346I
0.97297 + 2.59722I 0
u = −0.085483 − 0.784159I
a = 1.49002 + 0.55040I
b = 1.40094 + 1.20346I
0.97297 − 2.59722I 0
u = 0.215596 + 0.755293I
a = −1.98259 + 0.19130I
b = 0.096965 − 0.433266I
−0.65302 + 2.35043I 0
u = 0.215596 − 0.755293I
a = −1.98259 − 0.19130I
b = 0.096965 + 0.433266I
−0.65302 − 2.35043I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.192830 + 0.260298I
a = 0.204097 − 0.131393I
b = 0.878574 − 0.352144I
0.21738 + 2.51186I 0
u = −1.192830 − 0.260298I
a = 0.204097 + 0.131393I
b = 0.878574 + 0.352144I
0.21738 − 2.51186I 0
u = 0.533930 + 1.105390I
a = 1.040090 + 0.112544I
b = 0.856992 − 1.081250I
1.58126 + 5.70438I 0
u = 0.533930 − 1.105390I
a = 1.040090 − 0.112544I
b = 0.856992 + 1.081250I
1.58126 − 5.70438I 0
u = −0.356094 + 1.196540I
a = 1.80745 − 0.28125I
b = 1.52620 + 0.90449I
−3.90221 + 0.84482I 0
u = −0.356094 − 1.196540I
a = 1.80745 + 0.28125I
b = 1.52620 − 0.90449I
−3.90221 − 0.84482I 0
u = −1.134920 + 0.521672I
a = −0.121844 + 0.087621I
b = 0.529509 + 0.047207I
1.26449 + 1.30166I 0
u = −1.134920 − 0.521672I
a = −0.121844 − 0.087621I
b = 0.529509 − 0.047207I
1.26449 − 1.30166I 0
u = 0.278523 + 0.694695I
a = 0.270824 + 1.116420I
b = −0.383247 − 1.059640I
3.26619 − 8.95262I 0
u = 0.278523 − 0.694695I
a = 0.270824 − 1.116420I
b = −0.383247 + 1.059640I
3.26619 + 8.95262I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.193069 + 0.714302I
a = 1.106070 + 0.814830I
b = 0.935405 + 0.827953I
0.142072 − 1.312510I 0
u = 0.193069 − 0.714302I
a = 1.106070 − 0.814830I
b = 0.935405 − 0.827953I
0.142072 + 1.312510I 0
u = −0.033804 + 0.735910I
a = 1.33302 + 1.06812I
b = 1.03116 + 1.34315I
0.042864 − 1.329990I 0
u = −0.033804 − 0.735910I
a = 1.33302 − 1.06812I
b = 1.03116 − 1.34315I
0.042864 + 1.329990I 0
u = −0.580379 + 1.139150I
a = −1.80795 + 0.48749I
b = −1.58741 − 0.94411I
1.08520 − 10.89050I 0
u = −0.580379 − 1.139150I
a = −1.80795 − 0.48749I
b = −1.58741 + 0.94411I
1.08520 + 10.89050I 0
u = −0.226715 + 1.266170I
a = 1.58263 − 1.19015I
b = 0.686546 + 0.302299I
−1.08520 − 10.89050I 0
u = −0.226715 − 1.266170I
a = 1.58263 + 1.19015I
b = 0.686546 − 0.302299I
−1.08520 + 10.89050I 0
u = 0.372244 + 1.231880I
a = −1.75966 + 0.01937I
b = −1.37763 + 0.45249I
−3.24228 + 6.46386I 0
u = 0.372244 − 1.231880I
a = −1.75966 − 0.01937I
b = −1.37763 − 0.45249I
−3.24228 − 6.46386I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.619444 + 1.133000I
a = 0.904581 − 0.869490I
b = 1.390740 + 0.201924I
−2.11936 − 9.06912I 0
u = −0.619444 − 1.133000I
a = 0.904581 + 0.869490I
b = 1.390740 − 0.201924I
−2.11936 + 9.06912I 0
u = −0.695852 + 0.004121I
a = 0.067446 − 1.062120I
b = −0.758173 + 0.308921I
4.15789 + 0.07680I 0
u = −0.695852 − 0.004121I
a = 0.067446 + 1.062120I
b = −0.758173 − 0.308921I
4.15789 − 0.07680I 0
u = 0.092485 + 0.684929I
a = 2.08206 − 0.02377I
b = 1.40583 + 0.29676I
−0.042864 − 1.329990I 0
u = 0.092485 − 0.684929I
a = 2.08206 + 0.02377I
b = 1.40583 − 0.29676I
−0.042864 + 1.329990I 0
u = 0.449724 + 1.234610I
a = −1.83840 − 0.24598I
b = −1.28790 + 0.92893I
−4.13767 + 8.80378I 0
u = 0.449724 − 1.234610I
a = −1.83840 + 0.24598I
b = −1.28790 − 0.92893I
−4.13767 − 8.80378I 0
u = −0.209028 + 0.647329I
a = 1.60717 − 0.00374I
b = 0.815372 + 0.584812I
−0.025899 − 1.317480I 0
u = −0.209028 − 0.647329I
a = 1.60717 + 0.00374I
b = 0.815372 − 0.584812I
−0.025899 + 1.317480I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.447049 + 1.245170I
a = 1.35626 − 0.49355I
b = 0.853793 + 0.714437I
0.58413 − 4.40088I 0
u = −0.447049 − 1.245170I
a = 1.35626 + 0.49355I
b = 0.853793 − 0.714437I
0.58413 + 4.40088I 0
u = 0.175052 + 0.650184I
a = −2.72577 − 1.12722I
b = −1.42717 − 0.32225I
0.36015 + 4.15367I 0
u = 0.175052 − 0.650184I
a = −2.72577 + 1.12722I
b = −1.42717 + 0.32225I
0.36015 − 4.15367I 0
u = −0.255159 + 1.308660I
a = −1.44348 − 0.16689I
b = −1.113770 − 0.629518I
−5.02464 − 2.55425I 0
u = −0.255159 − 1.308660I
a = −1.44348 + 0.16689I
b = −1.113770 + 0.629518I
−5.02464 + 2.55425I 0
u = 1.323120 + 0.203520I
a = −0.182410 − 0.102634I
b = −0.185952 − 0.451735I
7.32694 + 5.52984I 0
u = 1.323120 − 0.203520I
a = −0.182410 + 0.102634I
b = −0.185952 + 0.451735I
7.32694 − 5.52984I 0
u = −0.537105 + 1.230220I
a = 1.288760 − 0.216933I
b = 0.906484 + 0.715227I
0.07279 − 4.28820I 0
u = −0.537105 − 1.230220I
a = 1.288760 + 0.216933I
b = 0.906484 − 0.715227I
0.07279 + 4.28820I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.218743 + 1.328010I
a = −1.25749 − 0.68837I
b = −0.918889 + 0.104266I
−5.80970 − 0.97005I 0
u = 0.218743 − 1.328010I
a = −1.25749 + 0.68837I
b = −0.918889 − 0.104266I
−5.80970 + 0.97005I 0
u = −0.341573 + 1.302320I
a = 1.69129 + 0.28635I
b = 1.52192 + 1.10920I
−3.17219 − 12.04770I 0
u = −0.341573 − 1.302320I
a = 1.69129 − 0.28635I
b = 1.52192 − 1.10920I
−3.17219 + 12.04770I 0
u = 0.413199 + 1.283260I
a = 1.55111 + 0.11733I
b = 1.48789 − 0.97398I
−7.32694 + 5.52984I 0
u = 0.413199 − 1.283260I
a = 1.55111 − 0.11733I
b = 1.48789 + 0.97398I
−7.32694 − 5.52984I 0
u = −0.232428 + 1.333390I
a = 0.734746 − 0.194547I
b = 0.850017 + 0.335551I
− 0.393714I 0
u = −0.232428 − 1.333390I
a = 0.734746 + 0.194547I
b = 0.850017 − 0.335551I
0.393714I 0
u = −0.762880 + 1.126910I
a = −0.457006 + 0.664747I
b = −0.773322 + 0.214074I
−1.13472 − 3.92428I 0
u = −0.762880 − 1.126910I
a = −0.457006 − 0.664747I
b = −0.773322 − 0.214074I
−1.13472 + 3.92428I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.605089 + 1.219020I
a = 0.755614 + 0.564221I
b = 1.106440 − 0.293057I
−5.93767 + 3.95269I 0
u = 0.605089 − 1.219020I
a = 0.755614 − 0.564221I
b = 1.106440 + 0.293057I
−5.93767 − 3.95269I 0
u = −0.542785 + 0.329764I
a = 1.108320 − 0.046903I
b = −0.196274 − 0.764313I
5.02464 + 2.55425I 0
u = −0.542785 − 0.329764I
a = 1.108320 + 0.046903I
b = −0.196274 + 0.764313I
5.02464 − 2.55425I 0
u = 0.386511 + 1.317200I
a = 1.48406 − 0.01024I
b = 1.47767 − 0.98144I
−7.30823 + 5.56093I 0
u = 0.386511 − 1.317200I
a = 1.48406 + 0.01024I
b = 1.47767 + 0.98144I
−7.30823 − 5.56093I 0
u = 1.390860 + 0.023185I
a = −0.133386 + 0.126101I
b = 0.124563 + 0.414387I
7.30823 − 5.56093I 0
u = 1.390860 − 0.023185I
a = −0.133386 − 0.126101I
b = 0.124563 − 0.414387I
7.30823 + 5.56093I 0
u = 0.483451 + 1.307180I
a = 1.52791 + 0.18266I
b = 0.814150 − 0.672402I
2.11936 + 9.06912I 0
u = 0.483451 − 1.307180I
a = 1.52791 − 0.18266I
b = 0.814150 + 0.672402I
2.11936 − 9.06912I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.241543 + 1.376590I
a = −1.313120 + 0.357251I
b = −0.949427 − 0.284593I
−6.04666 − 2.26274I 0
u = −0.241543 − 1.376590I
a = −1.313120 − 0.357251I
b = −0.949427 + 0.284593I
−6.04666 + 2.26274I 0
u = −0.357910 + 0.480543I
a = 1.237720 − 0.525784I
b = 0.859867 + 0.622144I
−0.142072 − 1.312510I 0
u = −0.357910 − 0.480543I
a = 1.237720 + 0.525784I
b = 0.859867 − 0.622144I
−0.142072 + 1.312510I 0
u = −0.571543 + 0.176241I
a = 0.726268 + 0.505393I
b = −1.003560 − 0.315364I
−0.07279 + 4.28820I 0
u = −0.571543 − 0.176241I
a = 0.726268 − 0.505393I
b = −1.003560 + 0.315364I
−0.07279 − 4.28820I 0
u = 0.539456 + 1.296130I
a = −1.69809 − 0.20285I
b = −1.35002 + 0.85798I
−4.06110 + 9.52256I 0
u = 0.539456 − 1.296130I
a = −1.69809 + 0.20285I
b = −1.35002 − 0.85798I
−4.06110 − 9.52256I 0
u = −0.575841 + 1.281520I
a = 1.51702 − 0.19198I
b = 1.32991 + 1.04088I
2.03764 − 10.08370I 0
u = −0.575841 − 1.281520I
a = 1.51702 + 0.19198I
b = 1.32991 − 1.04088I
2.03764 + 10.08370I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.62070 + 1.27936I
a = 1.294790 + 0.060268I
b = 0.912545 − 0.646946I
3.90221 + 0.84482I 0
u = 0.62070 − 1.27936I
a = 1.294790 − 0.060268I
b = 0.912545 + 0.646946I
3.90221 − 0.84482I 0
u = −0.218763 + 0.528807I
a = 1.37495 + 0.51477I
b = 0.614559 + 0.759311I
0.025899 − 1.317480I 0
u = −0.218763 − 0.528807I
a = 1.37495 − 0.51477I
b = 0.614559 − 0.759311I
0.025899 + 1.317480I 0
u = 0.65134 + 1.28005I
a = −1.52434 − 0.44960I
b = −1.42065 + 0.64563I
−2.66918 + 11.39430I 0
u = 0.65134 − 1.28005I
a = −1.52434 + 0.44960I
b = −1.42065 − 0.64563I
−2.66918 − 11.39430I 0
u = 0.300821 + 0.474811I
a = −3.20004 + 0.29615I
b = −1.005390 + 0.868571I
4.06110 − 9.52256I 0
u = 0.300821 − 0.474811I
a = −3.20004 − 0.29615I
b = −1.005390 − 0.868571I
4.06110 + 9.52256I 0
u = 0.58438 + 1.31527I
a = 1.59784 + 0.23038I
b = 1.33960 − 0.99674I
−3.7066 + 15.6856I 0
u = 0.58438 − 1.31527I
a = 1.59784 − 0.23038I
b = 1.33960 + 0.99674I
−3.7066 − 15.6856I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.04078 + 1.45031I
a = 0.056208 + 0.788549I
b = 0.152419 + 1.266330I
0.520794I 0
u = −0.04078 − 1.45031I
a = 0.056208 − 0.788549I
b = 0.152419 − 1.266330I
− 0.520794I 0
u = 0.075883 + 0.542133I
a = 2.01321 − 0.15163I
b = 0.929124 + 0.270137I
−0.063457 − 1.359090I 0
u = 0.075883 − 0.542133I
a = 2.01321 + 0.15163I
b = 0.929124 − 0.270137I
−0.063457 + 1.359090I 0
u = −0.59946 + 1.32352I
a = 1.63789 − 0.20681I
b = 1.37529 + 0.98879I
− 21.8262I 0
u = −0.59946 − 1.32352I
a = 1.63789 + 0.20681I
b = 1.37529 − 0.98879I
21.8262I 0
u = −0.02454 + 1.45626I
a = −1.70997 − 0.03188I
b = −0.824650 − 0.088243I
−6.09283 − 1.75066I 0
u = −0.02454 − 1.45626I
a = −1.70997 + 0.03188I
b = −0.824650 + 0.088243I
−6.09283 + 1.75066I 0
u = −0.57154 + 1.34325I
a = −1.59268 + 0.03856I
b = −1.29335 − 0.90748I
−2.62359 − 12.41050I 0
u = −0.57154 − 1.34325I
a = −1.59268 − 0.03856I
b = −1.29335 + 0.90748I
−2.62359 + 12.41050I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.62852 + 1.32730I
a = −1.339020 + 0.365474I
b = −1.214380 − 0.624915I
−3.26619 − 8.95262I 0
u = −0.62852 − 1.32730I
a = −1.339020 − 0.365474I
b = −1.214380 + 0.624915I
−3.26619 + 8.95262I 0
u = 0.36886 + 1.42693I
a = −0.871962 − 0.663797I
b = −0.703554 + 0.018047I
−4.91227 + 1.46033I 0
u = 0.36886 − 1.42693I
a = −0.871962 + 0.663797I
b = −0.703554 − 0.018047I
−4.91227 − 1.46033I 0
u = 0.60319 + 1.35778I
a = −1.039820 + 0.173582I
b = −0.869126 + 0.983930I
3.17219 + 12.04770I 0
u = 0.60319 − 1.35778I
a = −1.039820 − 0.173582I
b = −0.869126 − 0.983930I
3.17219 − 12.04770I 0
u = −0.28083 + 1.46541I
a = −0.711076 + 0.558330I
b = −0.554300 − 0.086594I
−4.37297 + 0.53308I 0
u = −0.28083 − 1.46541I
a = −0.711076 − 0.558330I
b = −0.554300 + 0.086594I
−4.37297 − 0.53308I 0
u = −0.63462 + 1.35052I
a = −0.868078 + 0.195969I
b = −0.803440 − 0.673643I
−1.95629 − 8.25786I 0
u = −0.63462 − 1.35052I
a = −0.868078 − 0.195969I
b = −0.803440 + 0.673643I
−1.95629 + 8.25786I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31962 + 1.46733I
a = 0.799817 + 0.456485I
b = 0.953292 + 0.012132I
−5.51079 − 4.29685I 0
u = 0.31962 − 1.46733I
a = 0.799817 − 0.456485I
b = 0.953292 − 0.012132I
−5.51079 + 4.29685I 0
u = −0.114803 + 0.477113I
a = 1.30778 + 0.80085I
b = 0.642785 + 0.950104I
0.063457 − 1.359090I 0
u = −0.114803 − 0.477113I
a = 1.30778 − 0.80085I
b = 0.642785 − 0.950104I
0.063457 + 1.359090I 0
u = −0.30438 + 1.52512I
a = 0.746452 − 0.516922I
b = 0.866524 − 0.083799I
−2.03764 + 10.08370I 0
u = −0.30438 − 1.52512I
a = 0.746452 + 0.516922I
b = 0.866524 + 0.083799I
−2.03764 − 10.08370I 0
u = 0.12785 + 1.61442I
a = −1.215830 − 0.187804I
b = −0.669363 − 0.014353I
−5.17607 + 1.25050I 0
u = 0.12785 − 1.61442I
a = −1.215830 + 0.187804I
b = −0.669363 + 0.014353I
−5.17607 − 1.25050I 0
u = 0.347555 + 0.119688I
a = 1.40081 − 0.81406I
b = 0.422678 − 1.038110I
1.17263 + 3.43391I 3.94418 + 0.I
u = 0.347555 − 0.119688I
a = 1.40081 + 0.81406I
b = 0.422678 + 1.038110I
1.17263 − 3.43391I 3.94418 + 0.I
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.028634 + 0.289272I
a = −4.95357 − 1.69185I
b = −0.927691 − 0.542166I
0.33838 + 4.08024I 2.30009 − 3.61352I
u = −0.028634 − 0.289272I
a = −4.95357 + 1.69185I
b = −0.927691 + 0.542166I
0.33838 − 4.08024I 2.30009 + 3.61352I
u = −0.10828 + 2.10833I
a = 0.057757 + 0.151646I
b = 0.158982 + 0.584415I
0.674755I 0
u = −0.10828 − 2.10833I
a = 0.057757 − 0.151646I
b = 0.158982 − 0.584415I
− 0.674755I 0
25
II. I
u
2
= h−1.71 × 10
68
u
49
− 6.40 × 10
67
u
48
+ · · · + 2.22 × 10
67
b + 1.98 ×
10
69
, −3.49 × 10
66
u
49
− 3.84 × 10
66
u
48
+ · · · + 1.30 × 10
66
a + 2.95 ×
10
67
, u
50
+ 3u
49
+ · · · + 13u + 3i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
2.67765u
49
+ 2.94151u
48
+ ··· − 86.6967u − 22.6201
7.72607u
49
+ 2.88800u
48
+ ··· − 361.028u − 89.5362
a
10
=
22.5057u
49
+ 31.6260u
48
+ ··· − 662.101u − 164.957
−17.2496u
49
− 61.9905u
48
+ ··· − 202.287u − 26.7623
a
1
=
−5.04842u
49
+ 0.0535180u
48
+ ··· + 274.331u + 66.9162
7.72607u
49
+ 2.88800u
48
+ ··· − 361.028u − 89.5362
a
6
=
−34.5147u
49
− 133.869u
48
+ ··· − 685.536u − 117.414
13.7832u
49
+ 54.5258u
48
+ ··· + 371.888u + 67.8201
a
4
=
−u
u
3
+ u
a
2
=
0.180218u
49
+ 6.47809u
48
+ ··· + 109.659u + 22.8960
5.48507u
49
− 0.508421u
48
+ ··· − 301.067u − 73.3001
a
7
=
−35.3370u
49
− 105.674u
48
+ ··· − 81.1222u + 6.33839
−23.7865u
49
− 75.7634u
48
+ ··· − 207.829u − 25.0100
a
11
=
−40.9120u
49
− 127.579u
48
+ ··· − 140.929u + 15.8904
−9.03612u
49
− 30.4312u
48
+ ··· − 79.6876u − 10.1997
a
3
=
39.5978u
49
+ 75.3219u
48
+ ··· − 912.238u − 240.231
−17.9179u
49
− 99.4825u
48
+ ··· − 924.417u − 188.990
(ii) Obstruction class = 1
(iii) Cusp Shapes = −323.370u
49
− 1150.36u
48
+ ··· − 4068.92u − 587.865
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
4(4u
50
+ 30u
49
+ ··· − 35u + 3)
c
2
, c
8
u
50
+ 3u
49
+ ··· + 13u + 3
c
3
4(4u
50
− 18u
49
+ ··· + 22u + 3)
c
4
, c
6
u
50
− 3u
49
+ ··· − 13u + 3
c
5
u
50
− 3u
49
+ ··· − 42u + 196
c
7
4(4u
50
− 30u
49
+ ··· + 35u + 3)
c
9
u
50
− 20u
49
+ ··· − 55u + 3
c
10
u
50
+ 3u
49
+ ··· + 42u + 196
c
11
u
50
+ 20u
49
+ ··· + 55u + 3
c
12
4(4u
50
+ 18u
49
+ ··· − 22u + 3)
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
16(16y
50
− 556y
49
+ ··· − 37y + 9)
c
2
, c
4
, c
6
c
8
y
50
+ 37y
49
+ ··· + 161y + 9
c
3
, c
12
16(16y
50
− 76y
49
+ ··· − 178y + 9)
c
5
, c
10
y
50
+ 19y
49
+ ··· + 243236y + 38416
c
9
, c
11
y
50
− 40y
49
+ ··· + 527y + 9
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.170723 + 0.989302I
a = −2.54894 + 0.47858I
b = −1.033940 + 0.209552I
−1.78642 + 2.75945I −5.95732 + 0.I
u = 0.170723 − 0.989302I
a = −2.54894 − 0.47858I
b = −1.033940 − 0.209552I
−1.78642 − 2.75945I −5.95732 + 0.I
u = 0.932460 + 0.311451I
a = 0.541508 + 0.140844I
b = −0.136236 − 0.325796I
1.86029 − 1.50133I 0
u = 0.932460 − 0.311451I
a = 0.541508 − 0.140844I
b = −0.136236 + 0.325796I
1.86029 + 1.50133I 0
u = 0.907107 + 0.368977I
a = 0.003374 + 0.536436I
b = 0.996077 + 0.719827I
2.52875 − 5.07198I 0. + 5.04657I
u = 0.907107 − 0.368977I
a = 0.003374 − 0.536436I
b = 0.996077 − 0.719827I
2.52875 + 5.07198I 0. − 5.04657I
u = −0.356608 + 0.816121I
a = −2.13895 − 0.43104I
b = −0.18337 − 1.74339I
5.65689 − 1.58228I 1.24832 + 4.02633I
u = −0.356608 − 0.816121I
a = −2.13895 + 0.43104I
b = −0.18337 + 1.74339I
5.65689 + 1.58228I 1.24832 − 4.02633I
u = −1.095570 + 0.198354I
a = 0.233026 − 0.198461I
b = 0.956905 − 0.609574I
0.61391 + 4.27272I 0
u = −1.095570 − 0.198354I
a = 0.233026 + 0.198461I
b = 0.956905 + 0.609574I
0.61391 − 4.27272I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.240390 + 0.821252I
a = 2.21039 + 1.31573I
b = 0.58012 + 2.00817I
5.37369 − 1.24991I 22.8222 + 0.I
u = −0.240390 − 0.821252I
a = 2.21039 − 1.31573I
b = 0.58012 − 2.00817I
5.37369 + 1.24991I 22.8222 + 0.I
u = 0.032003 + 0.835790I
a = 2.81387 + 0.94206I
b = 2.43831 + 1.21196I
− 1.48883I 0. + 61.2020I
u = 0.032003 − 0.835790I
a = 2.81387 − 0.94206I
b = 2.43831 − 1.21196I
1.48883I 0. − 61.2020I
u = 0.211984 + 1.160240I
a = 0.993505 + 0.270519I
b = 0.198906 − 0.875584I
−2.52875 + 5.07198I 0
u = 0.211984 − 1.160240I
a = 0.993505 − 0.270519I
b = 0.198906 + 0.875584I
−2.52875 − 5.07198I 0
u = −0.020659 + 0.797030I
a = 2.85189 − 0.82466I
b = 0.625467 − 0.738945I
−0.61391 − 4.27272I −4.19286 + 4.22900I
u = −0.020659 − 0.797030I
a = 2.85189 + 0.82466I
b = 0.625467 + 0.738945I
−0.61391 + 4.27272I −4.19286 − 4.22900I
u = 0.545877 + 1.078230I
a = 0.841328 + 0.854468I
b = 0.887782 − 0.502091I
7.72045I 0
u = 0.545877 − 1.078230I
a = 0.841328 − 0.854468I
b = 0.887782 + 0.502091I
− 7.72045I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.146259 + 0.755112I
a = −0.110399 − 0.524730I
b = 0.485242 + 0.903904I
−1.04033 − 1.08972I −3.09207 − 1.70469I
u = 0.146259 − 0.755112I
a = −0.110399 + 0.524730I
b = 0.485242 − 0.903904I
−1.04033 + 1.08972I −3.09207 + 1.70469I
u = 0.097264 + 0.755879I
a = 2.44408 + 0.57719I
b = 0.290134 + 0.930218I
2.88926 + 10.40610I 0.76823 − 6.65907I
u = 0.097264 − 0.755879I
a = 2.44408 − 0.57719I
b = 0.290134 − 0.930218I
2.88926 − 10.40610I 0.76823 + 6.65907I
u = −0.204868 + 1.308530I
a = 1.269090 + 0.056230I
b = 0.450539 + 0.728378I
0.15598 − 10.57640I 0
u = −0.204868 − 1.308530I
a = 1.269090 − 0.056230I
b = 0.450539 − 0.728378I
0.15598 + 10.57640I 0
u = 0.652018 + 0.143335I
a = 0.714930 + 0.984113I
b = 0.683299 + 0.165764I
1.04033 − 1.08972I 3.09207 − 1.70469I
u = 0.652018 − 0.143335I
a = 0.714930 − 0.984113I
b = 0.683299 − 0.165764I
1.04033 + 1.08972I 3.09207 + 1.70469I
u = 0.582410 + 1.213340I
a = −1.57657 − 0.32174I
b = −1.49349 + 0.82909I
−0.15598 + 10.57640I 0
u = 0.582410 − 1.213340I
a = −1.57657 + 0.32174I
b = −1.49349 − 0.82909I
−0.15598 − 10.57640I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.224510 + 1.341080I
a = −1.055600 + 0.771513I
b = −0.630317 − 0.107338I
−5.39208 − 0.88635I 0
u = −0.224510 − 1.341080I
a = −1.055600 − 0.771513I
b = −0.630317 + 0.107338I
−5.39208 + 0.88635I 0
u = −0.421835 + 1.318850I
a = −1.42912 + 0.07292I
b = −1.48875 − 0.98977I
−7.11396 − 5.51202I 0
u = −0.421835 − 1.318850I
a = −1.42912 − 0.07292I
b = −1.48875 + 0.98977I
−7.11396 + 5.51202I 0
u = −0.467480 + 0.393127I
a = −1.137130 − 0.536307I
b = 0.562822 + 0.582338I
−1.86029 − 1.50133I −2.99719 + 1.66971I
u = −0.467480 − 0.393127I
a = −1.137130 + 0.536307I
b = 0.562822 − 0.582338I
−1.86029 + 1.50133I −2.99719 − 1.66971I
u = −0.61070 + 1.31483I
a = −1.54316 + 0.29090I
b = −1.30660 − 0.71962I
−2.88926 − 10.40610I 0
u = −0.61070 − 1.31483I
a = −1.54316 − 0.29090I
b = −1.30660 + 0.71962I
−2.88926 + 10.40610I 0
u = −0.199142 + 0.456811I
a = 2.71322 + 0.69043I
b = 0.338009 + 1.252450I
5.39208 − 0.88635I 8.74073 − 0.14571I
u = −0.199142 − 0.456811I
a = 2.71322 − 0.69043I
b = 0.338009 − 1.252450I
5.39208 + 0.88635I 8.74073 + 0.14571I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.04406 + 1.52310I
a = −1.68732 + 0.03883I
b = −0.784410 + 0.063393I
−5.65689 + 1.58228I 0
u = 0.04406 − 1.52310I
a = −1.68732 − 0.03883I
b = −0.784410 − 0.063393I
−5.65689 − 1.58228I 0
u = −0.372068 + 0.247158I
a = 1.35938 − 1.91135I
b = 0.943349 − 0.637837I
1.78642 + 2.75945I 5.95732 − 3.28494I
u = −0.372068 − 0.247158I
a = 1.35938 + 1.91135I
b = 0.943349 + 0.637837I
1.78642 − 2.75945I 5.95732 + 3.28494I
u = −1.55688 + 0.12336I
a = −0.062594 + 0.147782I
b = −0.279473 + 0.044237I
7.11396 − 5.51202I 0
u = −1.55688 − 0.12336I
a = −0.062594 − 0.147782I
b = −0.279473 − 0.044237I
7.11396 + 5.51202I 0
u = −0.16314 + 1.64890I
a = −1.057790 + 0.188889I
b = −0.694132 + 0.003175I
−5.37369 − 1.24991I 0
u = −0.16314 − 1.64890I
a = −1.057790 − 0.188889I
b = −0.694132 − 0.003175I
−5.37369 + 1.24991I 0
u = 0.11168 + 2.17380I
a = −0.058667 + 0.136987I
b = −0.156236 + 0.559901I
− 0.666867I 0
u = 0.11168 − 2.17380I
a = −0.058667 − 0.136987I
b = −0.156236 − 0.559901I
0.666867I 0
33
III. I
u
3
= hb + u, a + u, u
2
− u + 1i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
9
=
1
−u + 1
a
12
=
−u
−u
a
10
=
0
−u
a
1
=
0
−u
a
6
=
0
u
a
4
=
−u
u − 1
a
2
=
−1
0
a
7
=
1
u − 1
a
11
=
0
−u
a
3
=
−u
u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u + 4
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
8
c
9
, c
12
u
2
− u + 1
c
3
, c
4
, c
6
c
7
, c
11
u
2
+ u + 1
c
5
, c
10
u
2
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
7
c
8
, c
9
, c
11
c
12
y
2
+ y + 1
c
5
, c
10
y
2
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −0.500000 − 0.866025I
b = −0.500000 − 0.866025I
4.05977I 0. − 6.92820I
u = 0.500000 − 0.866025I
a = −0.500000 + 0.866025I
b = −0.500000 + 0.866025I
− 4.05977I 0. + 6.92820I
37
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
16(u
2
− u + 1)(4u
50
+ 30u
49
+ ··· − 35u + 3)
· (4u
204
− 110u
203
+ ··· − 2861790u + 86273)
c
2
(u
2
− u + 1)(u
50
+ 3u
49
+ ··· + 13u + 3)
· (u
204
+ 3u
203
+ ··· + 4840u + 3551)
c
3
16(u
2
+ u + 1)(4u
50
− 18u
49
+ ··· + 22u + 3)
· (4u
204
− 26u
203
+ ··· − 45164211u + 19281501)
c
4
(u
2
+ u + 1)(u
50
− 3u
49
+ ··· − 13u + 3)
· (u
204
− 3u
203
+ ··· − 4840u + 3551)
c
5
u
2
(u
50
− 3u
49
+ ··· − 42u + 196)
· (u
204
+ 2u
203
+ ··· + 3563896u + 160336)
c
6
(u
2
+ u + 1)(u
50
− 3u
49
+ ··· − 13u + 3)
· (u
204
+ 3u
203
+ ··· + 4840u + 3551)
c
7
16(u
2
+ u + 1)(4u
50
− 30u
49
+ ··· + 35u + 3)
· (4u
204
+ 110u
203
+ ··· + 2861790u + 86273)
c
8
(u
2
− u + 1)(u
50
+ 3u
49
+ ··· + 13u + 3)
· (u
204
− 3u
203
+ ··· − 4840u + 3551)
c
9
(u
2
− u + 1)(u
50
− 20u
49
+ ··· − 55u + 3)
· (u
204
+ 10u
203
+ ··· + 6000u + 2125)
c
10
u
2
(u
50
+ 3u
49
+ ··· + 42u + 196)
· (u
204
− 2u
203
+ ··· − 3563896u + 160336)
c
11
(u
2
+ u + 1)(u
50
+ 20u
49
+ ··· + 55u + 3)
· (u
204
− 10u
203
+ ··· − 6000u + 2125)
c
12
16(u
2
− u + 1)(4u
50
+ 18u
49
+ ··· − 22u + 3)
· (4u
204
+ 26u
203
+ ··· + 45164211u + 19281501)
38
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
256(y
2
+ y + 1)(16y
50
− 556y
49
+ ··· − 37y + 9)
· (16y
204
− 12y
203
+ ··· + 4270910140y + 7443030529)
c
2
, c
4
, c
6
c
8
(y
2
+ y + 1)(y
50
+ 37y
49
+ ··· + 161y + 9)
· (y
204
+ 131y
203
+ ··· + 1159746294y + 12609601)
c
3
, c
12
256(y
2
+ y + 1)(16y
50
− 76y
49
+ ··· − 178y + 9)
· (16y
204
− 748y
203
+ ··· + 42675043546023867y + 371776280813001)
c
5
, c
10
y
2
(y
50
+ 19y
49
+ ··· + 243236y + 38416)
· (y
204
− 16y
203
+ ··· + 2207655010624y + 25707632896)
c
9
, c
11
(y
2
+ y + 1)(y
50
− 40y
49
+ ··· + 527y + 9)
· (y
204
− 46y
203
+ ··· + 487217500y + 4515625)
39
