12a
0765
(K12a
0765
)
A knot diagram
1
Linearized knot diagam
3 8 10 11 1 4 2 12 7 6 9 5
Solving Sequence
5,12
1
6,9
8 11 4 7 10 3 2
c
12
c
5
c
8
c
11
c
4
c
6
c
10
c
3
c
2
c
1
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h6.98477 × 10
1451
u
193
− 1.16314 × 10
1452
u
192
+ ··· + 4.93072 × 10
1451
b + 2.57314 × 10
1457
,
2.31622 × 10
1456
u
193
− 4.50288 × 10
1456
u
192
+ ··· + 1.21029 × 10
1457
a + 5.08189 × 10
1461
,
u
194
− u
193
+ ··· − 117893u + 245459i
I
u
2
= h−1.19739 × 10
74
u
55
+ 3.12250 × 10
74
u
54
+ ··· + 1.12058 × 10
71
b − 1.63090 × 10
74
,
− 1.86706 × 10
74
u
55
+ 4.90830 × 10
74
u
54
+ ··· + 1.12058 × 10
71
a − 2.71046 × 10
74
, u
56
− 2u
55
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 250 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
= h6.98 × 10
1451
u
193
− 1.16 × 10
1452
u
192
+ · · · + 4.93 × 10
1451
b + 2.57 ×
10
1457
, 2.32 × 10
1456
u
193
− 4.50 × 10
1456
u
192
+ · · · + 1.21 × 10
1457
a + 5.08 ×
10
1461
, u
194
− u
193
+ · · · − 117893u + 245459i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
6
=
u
−u
3
+ u
a
9
=
−0.191377u
193
+ 0.372050u
192
+ ··· + 49992.0u − 41989.1
−1.41658u
193
+ 2.35896u
192
+ ··· + 1.03388 × 10
6
u − 521859.
a
8
=
1.22520u
193
− 1.98691u
192
+ ··· − 983885.u + 479870.
−1.41658u
193
+ 2.35896u
192
+ ··· + 1.03388 × 10
6
u − 521859.
a
11
=
−4.07707u
193
+ 6.86053u
192
+ ··· + 2.84866 × 10
6
u − 1.46480 × 10
6
2.98731u
193
− 5.04043u
192
+ ··· − 2.05991 × 10
6
u + 1.06527 × 10
6
a
4
=
3.93185u
193
− 6.59426u
192
+ ··· − 2.77115 × 10
6
u + 1.42089 × 10
6
−2.17470u
193
+ 3.66893u
192
+ ··· + 1.49760 × 10
6
u − 775226.
a
7
=
−7.14265u
193
+ 11.9908u
192
+ ··· + 5.01907 × 10
6
u − 2.57598 × 10
6
3.12899u
193
− 5.27256u
192
+ ··· − 2.17696 × 10
6
u + 1.12123 × 10
6
a
10
=
−6.49999u
193
+ 10.9404u
192
+ ··· + 4.53226 × 10
6
u − 2.33266 × 10
6
1.69815u
193
− 2.86783u
192
+ ··· − 1.16638 × 10
6
u + 604125.
a
3
=
12.0920u
193
− 20.3712u
192
+ ··· − 8.40520 × 10
6
u + 4.33186 × 10
6
−4.40681u
193
+ 7.44176u
192
+ ··· + 3.03589 × 10
6
u − 1.57018 × 10
6
a
2
=
7.98156u
193
− 13.4540u
192
+ ··· − 5.52815 × 10
6
u + 2.85575 × 10
6
−2.41321u
193
+ 4.08087u
192
+ ··· + 1.64843 × 10
6
u − 856057.
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.250556u
193
+ 0.556917u
192
+ ··· − 23356.7u − 30204.0
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
+ 93u
193
+ ··· + 10148842326u + 242020249
c
2
, c
7
u
194
+ u
193
+ ··· − 18064u + 15557
c
3
u
194
− 2u
193
+ ··· − 61u + 1
c
4
u
194
− 6u
192
+ ··· + 43312357u + 11436607
c
5
, c
12
u
194
+ u
193
+ ··· + 117893u + 245459
c
6
u
194
− 11u
193
+ ··· − 190u + 23
c
8
, c
11
u
194
− 15u
193
+ ··· + 667643u + 215671
c
9
u
194
− 7u
193
+ ··· − 76956u + 12989
c
10
u
194
− 3u
193
+ ··· + 74u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
+ 39y
193
+ ··· + 4148575594390299166y + 58573800926022001
c
2
, c
7
y
194
− 93y
193
+ ··· − 10148842326y + 242020249
c
3
y
194
+ 4y
193
+ ··· + 373y + 1
c
4
y
194
− 12y
193
+ ··· − 567942991784177y + 130795979672449
c
5
, c
12
y
194
− 109y
193
+ ··· − 3655898635621y + 60250120681
c
6
y
194
− 7y
193
+ ··· + 26644y + 529
c
8
, c
11
y
194
+ 93y
193
+ ··· + 1846508165973y + 46513980241
c
9
y
194
− 9y
193
+ ··· + 30908265410y + 168714121
c
10
y
194
− 15y
193
+ ··· − 540y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.406584 + 0.908345I
a = −0.73758 − 1.60254I
b = −0.353490 − 1.088290I
−6.07466 + 6.11744I 0
u = −0.406584 − 0.908345I
a = −0.73758 + 1.60254I
b = −0.353490 + 1.088290I
−6.07466 − 6.11744I 0
u = 0.926292 + 0.360172I
a = −0.364993 + 1.222190I
b = 0.003829 + 1.413000I
−1.86936 + 4.91916I 0
u = 0.926292 − 0.360172I
a = −0.364993 − 1.222190I
b = 0.003829 − 1.413000I
−1.86936 − 4.91916I 0
u = 0.676941 + 0.717325I
a = −0.49905 + 1.47156I
b = 0.815322 + 1.061790I
0.25296 + 3.46087I 0
u = 0.676941 − 0.717325I
a = −0.49905 − 1.47156I
b = 0.815322 − 1.061790I
0.25296 − 3.46087I 0
u = 0.979477 + 0.015977I
a = −1.25886 + 0.88498I
b = 0.706198 + 1.047070I
3.24609 + 3.29684I 0
u = 0.979477 − 0.015977I
a = −1.25886 − 0.88498I
b = 0.706198 − 1.047070I
3.24609 − 3.29684I 0
u = −0.554641 + 0.862200I
a = 0.070947 − 0.749012I
b = −0.415525 − 0.782291I
0.300104 − 1.176760I 0
u = −0.554641 − 0.862200I
a = 0.070947 + 0.749012I
b = −0.415525 + 0.782291I
0.300104 + 1.176760I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.417360 + 0.879928I
a = 0.87638 − 1.45101I
b = −0.055433 − 1.064100I
−3.55925 − 0.87375I 0
u = 0.417360 − 0.879928I
a = 0.87638 + 1.45101I
b = −0.055433 + 1.064100I
−3.55925 + 0.87375I 0
u = 0.694909 + 0.761600I
a = −0.069584 + 0.920006I
b = −0.081231 + 1.142800I
−3.53436 + 5.02332I 0
u = 0.694909 − 0.761600I
a = −0.069584 − 0.920006I
b = −0.081231 − 1.142800I
−3.53436 − 5.02332I 0
u = 0.906011 + 0.339014I
a = 1.48209 − 0.51804I
b = −0.807898 − 0.905467I
−3.12542 + 7.62172I 0
u = 0.906011 − 0.339014I
a = 1.48209 + 0.51804I
b = −0.807898 + 0.905467I
−3.12542 − 7.62172I 0
u = −0.920167 + 0.291516I
a = −0.026696 + 0.208084I
b = 1.006110 − 0.200811I
1.71874 + 0.00266I 0
u = −0.920167 − 0.291516I
a = −0.026696 − 0.208084I
b = 1.006110 + 0.200811I
1.71874 − 0.00266I 0
u = −1.006080 + 0.264880I
a = 1.336690 + 0.263964I
b = −0.601732 + 1.181270I
−4.18187 − 1.38142I 0
u = −1.006080 − 0.264880I
a = 1.336690 − 0.263964I
b = −0.601732 − 1.181270I
−4.18187 + 1.38142I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.569147 + 0.877802I
a = 0.09933 + 1.46827I
b = 0.341087 + 1.302340I
−4.05546 + 6.89533I 0
u = 0.569147 − 0.877802I
a = 0.09933 − 1.46827I
b = 0.341087 − 1.302340I
−4.05546 − 6.89533I 0
u = 0.672231 + 0.802747I
a = 1.00713 − 1.06155I
b = −0.004070 − 1.291130I
−3.52403 − 0.61398I 0
u = 0.672231 − 0.802747I
a = 1.00713 + 1.06155I
b = −0.004070 + 1.291130I
−3.52403 + 0.61398I 0
u = 0.505352 + 0.780497I
a = −0.73504 + 1.77591I
b = −0.061488 + 1.108370I
−7.58286 + 2.15592I 0
u = 0.505352 − 0.780497I
a = −0.73504 − 1.77591I
b = −0.061488 − 1.108370I
−7.58286 − 2.15592I 0
u = 0.888354 + 0.203742I
a = −2.91367 + 0.56000I
b = 0.224161 + 0.950037I
−6.60330 + 0.92815I 0
u = 0.888354 − 0.203742I
a = −2.91367 − 0.56000I
b = 0.224161 − 0.950037I
−6.60330 − 0.92815I 0
u = 0.050001 + 0.900877I
a = −0.061413 − 1.015520I
b = −0.802467 − 0.281089I
1.87979 − 3.66071I 0
u = 0.050001 − 0.900877I
a = −0.061413 + 1.015520I
b = −0.802467 + 0.281089I
1.87979 + 3.66071I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.713997 + 0.547809I
a = −0.438375 − 1.147880I
b = 0.08171 − 1.70026I
−5.00182 − 8.84965I 0
u = −0.713997 − 0.547809I
a = −0.438375 + 1.147880I
b = 0.08171 + 1.70026I
−5.00182 + 8.84965I 0
u = 0.820126 + 0.365115I
a = 0.82862 − 2.03229I
b = −0.042176 − 1.239600I
−6.33260 + 1.66013I 0
u = 0.820126 − 0.365115I
a = 0.82862 + 2.03229I
b = −0.042176 + 1.239600I
−6.33260 − 1.66013I 0
u = −1.106780 + 0.009307I
a = 0.448779 + 0.116546I
b = 0.538072 + 0.129745I
2.61070 + 0.15227I 0
u = −1.106780 − 0.009307I
a = 0.448779 − 0.116546I
b = 0.538072 − 0.129745I
2.61070 − 0.15227I 0
u = −0.874474 + 0.167435I
a = −1.64383 + 0.71858I
b = 0.647585 + 0.917707I
1.27068 − 2.07977I 0
u = −0.874474 − 0.167435I
a = −1.64383 − 0.71858I
b = 0.647585 − 0.917707I
1.27068 + 2.07977I 0
u = 0.868302 + 0.695008I
a = 0.017476 + 0.657665I
b = −0.588852 + 0.992156I
−3.10785 − 3.85382I 0
u = 0.868302 − 0.695008I
a = 0.017476 − 0.657665I
b = −0.588852 − 0.992156I
−3.10785 + 3.85382I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.251943 + 0.846329I
a = 0.170361 + 1.201550I
b = −0.925435 + 0.105369I
0.58405 + 8.87272I 0
u = −0.251943 − 0.846329I
a = 0.170361 − 1.201550I
b = −0.925435 − 0.105369I
0.58405 − 8.87272I 0
u = −1.089310 + 0.254934I
a = −2.04511 − 0.03490I
b = 0.425038 − 1.079870I
0.63001 − 4.71909I 0
u = −1.089310 − 0.254934I
a = −2.04511 + 0.03490I
b = 0.425038 + 1.079870I
0.63001 + 4.71909I 0
u = −0.493210 + 1.004910I
a = 0.72931 + 1.41815I
b = −0.601959 + 0.895829I
−0.09608 − 5.52301I 0
u = −0.493210 − 1.004910I
a = 0.72931 − 1.41815I
b = −0.601959 − 0.895829I
−0.09608 + 5.52301I 0
u = −0.958228 + 0.582368I
a = −0.56780 − 1.84248I
b = 0.571867 − 0.582135I
3.64674 − 2.41351I 0
u = −0.958228 − 0.582368I
a = −0.56780 + 1.84248I
b = 0.571867 + 0.582135I
3.64674 + 2.41351I 0
u = 0.742812 + 0.850574I
a = 0.98027 − 1.03175I
b = 0.001951 − 1.079380I
−3.66789 − 0.69831I 0
u = 0.742812 − 0.850574I
a = 0.98027 + 1.03175I
b = 0.001951 + 1.079380I
−3.66789 + 0.69831I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.054170 + 0.406779I
a = −0.224180 + 0.623710I
b = 1.40827 − 0.46099I
4.63126 + 3.86923I 0
u = 1.054170 − 0.406779I
a = −0.224180 − 0.623710I
b = 1.40827 + 0.46099I
4.63126 − 3.86923I 0
u = −1.051590 + 0.426304I
a = 1.52955 + 0.46597I
b = 0.114719 + 0.708966I
1.29199 − 0.63572I 0
u = −1.051590 − 0.426304I
a = 1.52955 − 0.46597I
b = 0.114719 − 0.708966I
1.29199 + 0.63572I 0
u = −1.113500 + 0.254079I
a = −0.388065 + 0.108602I
b = 1.38923 + 0.48796I
4.40392 − 3.71450I 0
u = −1.113500 − 0.254079I
a = −0.388065 − 0.108602I
b = 1.38923 − 0.48796I
4.40392 + 3.71450I 0
u = −0.040140 + 0.850272I
a = 0.703915 + 1.150220I
b = 0.128184 + 1.092870I
−4.07484 − 0.67040I 0
u = −0.040140 − 0.850272I
a = 0.703915 − 1.150220I
b = 0.128184 − 1.092870I
−4.07484 + 0.67040I 0
u = −1.117500 + 0.278014I
a = −0.198314 − 0.711860I
b = 1.205870 + 0.507868I
5.43895 + 0.91918I 0
u = −1.117500 − 0.278014I
a = −0.198314 + 0.711860I
b = 1.205870 − 0.507868I
5.43895 − 0.91918I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.937741 + 0.676938I
a = 1.092220 + 0.683845I
b = −0.32769 + 1.42132I
−4.32626 + 3.94835I 0
u = −0.937741 − 0.676938I
a = 1.092220 − 0.683845I
b = −0.32769 − 1.42132I
−4.32626 − 3.94835I 0
u = 1.167120 + 0.111014I
a = −0.342106 − 0.078946I
b = 1.236350 − 0.486481I
5.88830 − 0.97643I 0
u = 1.167120 − 0.111014I
a = −0.342106 + 0.078946I
b = 1.236350 + 0.486481I
5.88830 + 0.97643I 0
u = −1.136990 + 0.317788I
a = −0.009861 + 0.261852I
b = −1.036960 − 0.042390I
0.10715 − 6.16604I 0
u = −1.136990 − 0.317788I
a = −0.009861 − 0.261852I
b = −1.036960 + 0.042390I
0.10715 + 6.16604I 0
u = −0.808368 + 0.036304I
a = −3.61635 − 0.08552I
b = 0.233174 + 0.609543I
2.49589 − 1.59780I 0
u = −0.808368 − 0.036304I
a = −3.61635 + 0.08552I
b = 0.233174 − 0.609543I
2.49589 + 1.59780I 0
u = 0.991101 + 0.670236I
a = −0.73899 + 1.56919I
b = 0.783279 + 0.615116I
2.89198 + 7.70265I 0
u = 0.991101 − 0.670236I
a = −0.73899 − 1.56919I
b = 0.783279 − 0.615116I
2.89198 − 7.70265I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.114990 + 0.437118I
a = −1.29909 − 1.53019I
b = 0.71610 − 1.24239I
2.91515 − 5.87093I 0
u = −1.114990 − 0.437118I
a = −1.29909 + 1.53019I
b = 0.71610 + 1.24239I
2.91515 + 5.87093I 0
u = 0.754717 + 0.242109I
a = 0.580086 − 0.176389I
b = −0.428484 − 0.138522I
−1.97048 − 0.07696I 0
u = 0.754717 − 0.242109I
a = 0.580086 + 0.176389I
b = −0.428484 + 0.138522I
−1.97048 + 0.07696I 0
u = −1.185260 + 0.241746I
a = 1.46739 + 1.76173I
b = −0.329720 + 0.927431I
4.59196 − 2.41678I 0
u = −1.185260 − 0.241746I
a = 1.46739 − 1.76173I
b = −0.329720 − 0.927431I
4.59196 + 2.41678I 0
u = 0.190444 + 0.765613I
a = 0.988709 − 0.302572I
b = −0.356692 + 0.079922I
−1.34161 − 2.11514I 0
u = 0.190444 − 0.765613I
a = 0.988709 + 0.302572I
b = −0.356692 − 0.079922I
−1.34161 + 2.11514I 0
u = 0.116284 + 0.777318I
a = 0.44654 − 1.67849I
b = 0.598960 − 1.267800I
−1.49460 − 6.64311I 0
u = 0.116284 − 0.777318I
a = 0.44654 + 1.67849I
b = 0.598960 + 1.267800I
−1.49460 + 6.64311I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.168810 + 0.354086I
a = −1.63308 + 0.14798I
b = 0.431062 + 1.211240I
−1.61102 + 10.88200I 0
u = 1.168810 − 0.354086I
a = −1.63308 − 0.14798I
b = 0.431062 − 1.211240I
−1.61102 − 10.88200I 0
u = −1.068330 + 0.598519I
a = −0.537016 − 0.999845I
b = 0.572920 − 1.249900I
−1.34429 − 4.35715I 0
u = −1.068330 − 0.598519I
a = −0.537016 + 0.999845I
b = 0.572920 + 1.249900I
−1.34429 + 4.35715I 0
u = −0.750505 + 0.169348I
a = −0.283378 − 1.082050I
b = −0.29367 − 1.49189I
−5.18408 − 0.72793I 0
u = −0.750505 − 0.169348I
a = −0.283378 + 1.082050I
b = −0.29367 + 1.49189I
−5.18408 + 0.72793I 0
u = 1.221740 + 0.152272I
a = −0.278190 − 0.102467I
b = 0.876228 + 0.449321I
4.97076 + 2.51084I 0
u = 1.221740 − 0.152272I
a = −0.278190 + 0.102467I
b = 0.876228 − 0.449321I
4.97076 − 2.51084I 0
u = 1.009000 + 0.706056I
a = −0.580095 + 1.244170I
b = 0.45765 + 1.51677I
−2.49894 + 6.27622I 0
u = 1.009000 − 0.706056I
a = −0.580095 − 1.244170I
b = 0.45765 − 1.51677I
−2.49894 − 6.27622I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.191228 + 1.219850I
a = −0.168675 + 1.367300I
b = −0.561373 + 1.135020I
−0.60919 − 8.70389I 0
u = 0.191228 − 1.219850I
a = −0.168675 − 1.367300I
b = −0.561373 − 1.135020I
−0.60919 + 8.70389I 0
u = −0.746084 + 0.102721I
a = −0.461590 + 0.315355I
b = 1.51641 + 0.15577I
2.74568 + 2.05152I 0
u = −0.746084 − 0.102721I
a = −0.461590 − 0.315355I
b = 1.51641 − 0.15577I
2.74568 − 2.05152I 0
u = 0.960056 + 0.797259I
a = 0.829657 − 0.956164I
b = −0.547688 − 0.954400I
−2.84635 + 0.75079I 0
u = 0.960056 − 0.797259I
a = 0.829657 + 0.956164I
b = −0.547688 + 0.954400I
−2.84635 − 0.75079I 0
u = 0.734696 + 0.038295I
a = 1.81356 + 0.10316I
b = −0.520545 − 0.914419I
−3.45385 − 2.32752I 0
u = 0.734696 − 0.038295I
a = 1.81356 − 0.10316I
b = −0.520545 + 0.914419I
−3.45385 + 2.32752I 0
u = 0.674216 + 0.235813I
a = −0.338662 + 0.617015I
b = 1.51091 − 0.11507I
2.99073 − 0.83965I 0
u = 0.674216 − 0.235813I
a = −0.338662 − 0.617015I
b = 1.51091 + 0.11507I
2.99073 + 0.83965I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.158400 + 0.569132I
a = 0.355030 − 0.071400I
b = 0.815315 − 0.934047I
2.03312 + 1.73177I 0
u = 1.158400 − 0.569132I
a = 0.355030 + 0.071400I
b = 0.815315 + 0.934047I
2.03312 − 1.73177I 0
u = 1.256790 + 0.348122I
a = 1.31346 − 1.56140I
b = −0.470936 − 0.997123I
5.26615 + 9.29070I 0
u = 1.256790 − 0.348122I
a = 1.31346 + 1.56140I
b = −0.470936 + 0.997123I
5.26615 − 9.29070I 0
u = 1.266150 + 0.331091I
a = −0.762221 + 0.798143I
b = 0.76369 + 1.23793I
3.39195 + 6.06332I 0
u = 1.266150 − 0.331091I
a = −0.762221 − 0.798143I
b = 0.76369 − 1.23793I
3.39195 − 6.06332I 0
u = 1.198950 + 0.526172I
a = −1.15264 + 1.24334I
b = 0.78656 + 1.34135I
1.62166 + 11.51310I 0
u = 1.198950 − 0.526172I
a = −1.15264 − 1.24334I
b = 0.78656 − 1.34135I
1.62166 − 11.51310I 0
u = −0.685515 + 0.005251I
a = 2.15005 + 0.22559I
b = −0.848968 − 0.668807I
−2.27128 + 4.38189I 0
u = −0.685515 − 0.005251I
a = 2.15005 − 0.22559I
b = −0.848968 + 0.668807I
−2.27128 − 4.38189I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.296200 + 0.248561I
a = −0.375285 + 0.294479I
b = 0.546796 − 0.557292I
2.32836 − 7.00243I 0
u = −1.296200 − 0.248561I
a = −0.375285 − 0.294479I
b = 0.546796 + 0.557292I
2.32836 + 7.00243I 0
u = −1.189760 + 0.578996I
a = 0.87367 + 1.47412I
b = −0.545600 + 1.252180I
−3.54169 − 11.57990I 0
u = −1.189760 − 0.578996I
a = 0.87367 − 1.47412I
b = −0.545600 − 1.252180I
−3.54169 + 11.57990I 0
u = 1.195790 + 0.571212I
a = 1.193210 − 0.441108I
b = −0.062692 − 0.700433I
−0.61158 + 5.82211I 0
u = 1.195790 − 0.571212I
a = 1.193210 + 0.441108I
b = −0.062692 + 0.700433I
−0.61158 − 5.82211I 0
u = 0.559864 + 0.365989I
a = 0.668397 − 0.053790I
b = 1.018860 − 0.494833I
1.84189 − 3.11896I 0
u = 0.559864 − 0.365989I
a = 0.668397 + 0.053790I
b = 1.018860 + 0.494833I
1.84189 + 3.11896I 0
u = 0.646007 + 0.169555I
a = −4.43841 + 0.27824I
b = 0.092903 − 0.446816I
1.53814 + 7.91974I 0
u = 0.646007 − 0.169555I
a = −4.43841 − 0.27824I
b = 0.092903 + 0.446816I
1.53814 − 7.91974I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.205290 + 0.577255I
a = 0.015896 + 0.188755I
b = −1.267450 − 0.421248I
3.4398 − 14.1909I 0
u = −1.205290 − 0.577255I
a = 0.015896 − 0.188755I
b = −1.267450 + 0.421248I
3.4398 + 14.1909I 0
u = −0.420609 + 0.509926I
a = 0.637886 − 0.587909I
b = −0.047490 − 0.445395I
0.180489 − 1.333900I 0
u = −0.420609 − 0.509926I
a = 0.637886 + 0.587909I
b = −0.047490 + 0.445395I
0.180489 + 1.333900I 0
u = 1.305510 + 0.323921I
a = 0.61203 − 1.46662I
b = −0.417253 − 0.785584I
5.19277 − 4.81293I 0
u = 1.305510 − 0.323921I
a = 0.61203 + 1.46662I
b = −0.417253 + 0.785584I
5.19277 + 4.81293I 0
u = −0.313395 + 1.314740I
a = −0.255022 − 1.209530I
b = −0.557304 − 1.228230I
−2.7132 + 14.1697I 0
u = −0.313395 − 1.314740I
a = −0.255022 + 1.209530I
b = −0.557304 + 1.228230I
−2.7132 − 14.1697I 0
u = 1.265330 + 0.497643I
a = 0.033261 − 0.208612I
b = −1.114960 + 0.428640I
5.58093 + 8.71578I 0
u = 1.265330 − 0.497643I
a = 0.033261 + 0.208612I
b = −1.114960 − 0.428640I
5.58093 − 8.71578I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.241010 + 0.561883I
a = 0.296778 + 0.025906I
b = −0.834157 + 0.453582I
1.95190 + 7.20316I 0
u = 1.241010 − 0.561883I
a = 0.296778 − 0.025906I
b = −0.834157 − 0.453582I
1.95190 − 7.20316I 0
u = −0.625895 + 0.091133I
a = 0.49720 + 2.82927I
b = 0.287161 + 1.217430I
−1.12845 + 2.74394I 0
u = −0.625895 − 0.091133I
a = 0.49720 − 2.82927I
b = 0.287161 − 1.217430I
−1.12845 − 2.74394I 0
u = −1.318580 + 0.406301I
a = 0.342733 + 0.023091I
b = 0.549862 + 0.955041I
2.56047 + 2.15025I 0
u = −1.318580 − 0.406301I
a = 0.342733 − 0.023091I
b = 0.549862 − 0.955041I
2.56047 − 2.15025I 0
u = 0.164277 + 0.590673I
a = −1.093780 − 0.141679I
b = −0.312087 + 0.222223I
−3.64062 + 3.32789I 0
u = 0.164277 − 0.590673I
a = −1.093780 + 0.141679I
b = −0.312087 − 0.222223I
−3.64062 − 3.32789I 0
u = −1.320680 + 0.449158I
a = 0.74676 + 1.30102I
b = −0.502410 + 0.798029I
5.93176 − 1.26246I 0
u = −1.320680 − 0.449158I
a = 0.74676 − 1.30102I
b = −0.502410 − 0.798029I
5.93176 + 1.26246I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.148046 + 1.399950I
a = 0.111816 − 1.385270I
b = 0.244179 − 0.817411I
−3.98003 + 0.71275I 0
u = 0.148046 − 1.399950I
a = 0.111816 + 1.385270I
b = 0.244179 + 0.817411I
−3.98003 − 0.71275I 0
u = −0.561611 + 0.180956I
a = −1.15626 − 1.71773I
b = 0.658912 − 1.221060I
−1.26928 − 5.93812I 0
u = −0.561611 − 0.180956I
a = −1.15626 + 1.71773I
b = 0.658912 + 1.221060I
−1.26928 + 5.93812I 0
u = −1.35368 + 0.43467I
a = 0.355072 − 0.099636I
b = −0.660776 − 0.558262I
3.90172 − 1.51031I 0
u = −1.35368 − 0.43467I
a = 0.355072 + 0.099636I
b = −0.660776 + 0.558262I
3.90172 + 1.51031I 0
u = −1.36381 + 0.42693I
a = −0.666907 − 0.752694I
b = 0.77106 − 1.31188I
1.53991 − 11.21400I 0
u = −1.36381 − 0.42693I
a = −0.666907 + 0.752694I
b = 0.77106 + 1.31188I
1.53991 + 11.21400I 0
u = −1.12529 + 0.88185I
a = −0.400961 − 1.214430I
b = 0.46705 − 1.36662I
−3.11403 − 5.14717I 0
u = −1.12529 − 0.88185I
a = −0.400961 + 1.214430I
b = 0.46705 + 1.36662I
−3.11403 + 5.14717I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.33129 + 0.58823I
a = −0.566013 + 1.283660I
b = 0.390403 + 1.172280I
0.23031 + 5.81518I 0
u = 1.33129 − 0.58823I
a = −0.566013 − 1.283660I
b = 0.390403 − 1.172280I
0.23031 − 5.81518I 0
u = −0.59766 + 1.33124I
a = 0.473258 + 1.053720I
b = 0.096621 + 1.169710I
−4.91321 − 2.41372I 0
u = −0.59766 − 1.33124I
a = 0.473258 − 1.053720I
b = 0.096621 − 1.169710I
−4.91321 + 2.41372I 0
u = 1.43721 + 0.27587I
a = 0.143620 − 0.272951I
b = −0.557764 + 0.612259I
6.45356 + 5.15771I 0
u = 1.43721 − 0.27587I
a = 0.143620 + 0.272951I
b = −0.557764 − 0.612259I
6.45356 − 5.15771I 0
u = −0.213863 + 0.486911I
a = 0.93169 − 1.90172I
b = 0.391926 − 1.093680I
−0.81323 − 3.04148I 0
u = −0.213863 − 0.486911I
a = 0.93169 + 1.90172I
b = 0.391926 + 1.093680I
−0.81323 + 3.04148I 0
u = 1.33174 + 0.63748I
a = 0.91962 − 1.25059I
b = −0.69841 − 1.22989I
3.0115 + 15.1843I 0
u = 1.33174 − 0.63748I
a = 0.91962 + 1.25059I
b = −0.69841 + 1.22989I
3.0115 − 15.1843I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.308079 + 0.419861I
a = 1.27022 + 2.05415I
b = 0.523970 + 1.000810I
0.50933 + 2.16644I 0
u = −0.308079 − 0.419861I
a = 1.27022 − 2.05415I
b = 0.523970 − 1.000810I
0.50933 − 2.16644I 0
u = −1.44176 + 0.37269I
a = −0.075532 + 0.276728I
b = 0.361595 + 0.284432I
2.05329 − 6.60058I 0
u = −1.44176 − 0.37269I
a = −0.075532 − 0.276728I
b = 0.361595 − 0.284432I
2.05329 + 6.60058I 0
u = 0.01821 + 1.49450I
a = 0.389517 − 1.309550I
b = −0.343380 − 0.779304I
−2.21060 − 1.52728I 0
u = 0.01821 − 1.49450I
a = 0.389517 + 1.309550I
b = −0.343380 + 0.779304I
−2.21060 + 1.52728I 0
u = −1.48747 + 0.15584I
a = 0.261940 + 0.249489I
b = −0.338974 − 0.786582I
5.05364 + 0.52022I 0
u = −1.48747 − 0.15584I
a = 0.261940 − 0.249489I
b = −0.338974 + 0.786582I
5.05364 − 0.52022I 0
u = −1.34139 + 0.71087I
a = 0.84603 + 1.19372I
b = −0.74003 + 1.28941I
0.6103 − 21.2226I 0
u = −1.34139 − 0.71087I
a = 0.84603 − 1.19372I
b = −0.74003 − 1.28941I
0.6103 + 21.2226I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.29024 + 1.50006I
a = 0.173737 + 1.177220I
b = 0.305403 + 1.002970I
−4.73199 + 3.08085I 0
u = −0.29024 − 1.50006I
a = 0.173737 − 1.177220I
b = 0.305403 − 1.002970I
−4.73199 − 3.08085I 0
u = 1.52952 + 0.28535I
a = 1.079650 − 0.658021I
b = −0.377545 − 0.916215I
−4.55495 + 1.52297I 0
u = 1.52952 − 0.28535I
a = 1.079650 + 0.658021I
b = −0.377545 + 0.916215I
−4.55495 − 1.52297I 0
u = 1.37020 + 0.75530I
a = 0.846859 − 1.059280I
b = −0.630327 − 1.115910I
−0.05188 + 12.67200I 0
u = 1.37020 − 0.75530I
a = 0.846859 + 1.059280I
b = −0.630327 + 1.115910I
−0.05188 − 12.67200I 0
u = −1.40748 + 0.70167I
a = 0.876689 + 1.039810I
b = −0.586097 + 1.024810I
2.50884 − 6.38462I 0
u = −1.40748 − 0.70167I
a = 0.876689 − 1.039810I
b = −0.586097 − 1.024810I
2.50884 + 6.38462I 0
u = 0.380505 + 0.190134I
a = 1.062130 + 0.269634I
b = 0.938848 − 0.506660I
1.86267 − 3.13042I 4.98863 + 5.67838I
u = 0.380505 − 0.190134I
a = 1.062130 − 0.269634I
b = 0.938848 + 0.506660I
1.86267 + 3.13042I 4.98863 − 5.67838I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.40084 + 0.71997I
a = −0.583643 − 1.192140I
b = 0.503553 − 1.198140I
−0.94976 − 10.68140I 0
u = −1.40084 − 0.71997I
a = −0.583643 + 1.192140I
b = 0.503553 + 1.198140I
−0.94976 + 10.68140I 0
u = 0.53544 + 1.49232I
a = 0.079354 + 1.040350I
b = −0.452340 + 0.988830I
−3.14475 − 4.92454I 0
u = 0.53544 − 1.49232I
a = 0.079354 − 1.040350I
b = −0.452340 − 0.988830I
−3.14475 + 4.92454I 0
u = 0.342520 + 0.210477I
a = −0.23628 − 2.63757I
b = 0.38370 − 1.47793I
−4.37832 − 7.97858I −9.21274 − 0.65445I
u = 0.342520 − 0.210477I
a = −0.23628 + 2.63757I
b = 0.38370 + 1.47793I
−4.37832 + 7.97858I −9.21274 + 0.65445I
u = −1.61880 + 0.25038I
a = 0.103481 − 0.266054I
b = −0.486812 − 0.848168I
5.79278 + 2.79107I 0
u = −1.61880 − 0.25038I
a = 0.103481 + 0.266054I
b = −0.486812 + 0.848168I
5.79278 − 2.79107I 0
u = −0.193779 + 0.294692I
a = 1.49818 + 0.73333I
b = 0.900270 − 0.018598I
2.27986 − 1.11031I 4.33066 + 3.03003I
u = −0.193779 − 0.294692I
a = 1.49818 − 0.73333I
b = 0.900270 + 0.018598I
2.27986 + 1.11031I 4.33066 − 3.03003I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65278 + 0.24737I
a = −0.017357 − 0.252561I
b = 0.100842 − 0.672801I
2.67438 + 3.54754I 0
u = 1.65278 − 0.24737I
a = −0.017357 + 0.252561I
b = 0.100842 + 0.672801I
2.67438 − 3.54754I 0
u = 1.74163 + 0.13366I
a = 0.063644 + 0.239182I
b = −0.343402 + 0.920265I
4.82573 − 8.02556I 0
u = 1.74163 − 0.13366I
a = 0.063644 − 0.239182I
b = −0.343402 − 0.920265I
4.82573 + 8.02556I 0
24
II.
I
u
2
= h−1.20×10
74
u
55
+3.12×10
74
u
54
+· · ·+1.12×10
71
b−1.63×10
74
, −1.87×
10
74
u
55
+4.91×10
74
u
54
+· · ·+1.12×10
71
a−2.71×10
74
, u
56
−2u
55
+· · ·−2u+1i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
6
=
u
−u
3
+ u
a
9
=
1666.15u
55
− 4380.14u
54
+ ··· − 8774.75u + 2418.80
1068.54u
55
− 2786.49u
54
+ ··· − 5417.79u + 1455.41
a
8
=
597.613u
55
− 1593.64u
54
+ ··· − 3356.96u + 963.392
1068.54u
55
− 2786.49u
54
+ ··· − 5417.79u + 1455.41
a
11
=
1872.95u
55
− 4911.70u
54
+ ··· − 9622.33u + 2620.20
604.243u
55
− 1610.57u
54
+ ··· − 3094.98u + 871.031
a
4
=
−2826.97u
55
+ 7573.83u
54
+ ··· + 15573.0u − 4556.16
−1998.47u
55
+ 5412.37u
54
+ ··· + 11188.2u − 3313.06
a
7
=
1032.37u
55
− 2762.82u
54
+ ··· − 5846.62u + 1745.03
1032.99u
55
− 2816.23u
54
+ ··· − 5900.90u + 1749.19
a
10
=
2052.67u
55
− 5376.97u
54
+ ··· − 10581.3u + 2867.53
713.013u
55
− 1889.87u
54
+ ··· − 3662.54u + 1012.53
a
3
=
515.440u
55
− 1427.52u
54
+ ··· − 2972.79u + 854.600
109.772u
55
− 295.482u
54
+ ··· − 454.218u + 161.231
a
2
=
−430.191u
55
+ 1086.19u
54
+ ··· + 2161.70u − 622.076
−380.196u
55
+ 984.699u
54
+ ··· + 1901.73u − 452.246
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9558.60u
55
+ 25049.7u
54
+ ··· + 50029.5u − 13642.1
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
56
− 34u
55
+ ··· − 55u + 1
c
2
u
56
− 2u
55
+ ··· − 9u + 1
c
3
u
56
− u
55
+ ··· + 12u
2
+ 1
c
4
u
56
− u
55
+ ··· + 72u + 73
c
5
u
56
+ 2u
55
+ ··· + 2u + 1
c
6
u
56
+ 8u
55
+ ··· − u + 1
c
7
u
56
+ 2u
55
+ ··· + 9u + 1
c
8
u
56
+ 16u
55
+ ··· + 8u + 1
c
9
u
56
+ 4u
55
+ ··· − 101u + 23
c
10
u
56
− 8u
54
+ ··· − u + 1
c
11
u
56
− 16u
55
+ ··· − 8u + 1
c
12
u
56
− 2u
55
+ ··· − 2u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
56
− 2y
55
+ ··· − 343y + 1
c
2
, c
7
y
56
− 34y
55
+ ··· − 55y + 1
c
3
y
56
+ 7y
55
+ ··· + 24y + 1
c
4
y
56
+ 15y
55
+ ··· − 15550y + 5329
c
5
, c
12
y
56
− 30y
55
+ ··· − 46y + 1
c
6
y
56
− 20y
55
+ ··· + 11y + 1
c
8
, c
11
y
56
+ 24y
55
+ ··· + 52y + 1
c
9
y
56
− 30y
55
+ ··· + 3277y + 529
c
10
y
56
− 16y
55
+ ··· − 9y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.686592 + 0.646320I
a = −0.501302 − 1.286830I
b = 0.738268 − 1.023050I
0.85197 − 4.56070I 0
u = −0.686592 − 0.646320I
a = −0.501302 + 1.286830I
b = 0.738268 + 1.023050I
0.85197 + 4.56070I 0
u = 1.065870 + 0.324859I
a = −0.405854 + 0.275820I
b = 1.35573 − 0.40534I
3.83584 + 4.02428I 0
u = 1.065870 − 0.324859I
a = −0.405854 − 0.275820I
b = 1.35573 + 0.40534I
3.83584 − 4.02428I 0
u = −1.105820 + 0.172053I
a = −0.474102 − 0.434430I
b = 1.133090 + 0.364996I
4.89565 + 0.56388I 0
u = −1.105820 − 0.172053I
a = −0.474102 + 0.434430I
b = 1.133090 − 0.364996I
4.89565 − 0.56388I 0
u = −1.108190 + 0.239036I
a = 0.548319 + 0.069439I
b = 0.582461 + 0.612180I
2.38000 + 0.80281I 0
u = −1.108190 − 0.239036I
a = 0.548319 − 0.069439I
b = 0.582461 − 0.612180I
2.38000 − 0.80281I 0
u = −0.768521 + 0.290799I
a = 3.19179 + 2.03186I
b = −0.098205 + 0.628128I
2.22793 − 2.18837I 0
u = −0.768521 − 0.290799I
a = 3.19179 − 2.03186I
b = −0.098205 − 0.628128I
2.22793 + 2.18837I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768601 + 0.274457I
a = −0.164105 + 0.267732I
b = 1.55969 − 0.11542I
2.68074 − 1.52031I 0
u = 0.768601 − 0.274457I
a = −0.164105 − 0.267732I
b = 1.55969 + 0.11542I
2.68074 + 1.52031I 0
u = −0.940343 + 0.721885I
a = −0.317166 − 1.356530I
b = 0.34073 − 1.43282I
−2.98640 − 7.48502I 0
u = −0.940343 − 0.721885I
a = −0.317166 + 1.356530I
b = 0.34073 + 1.43282I
−2.98640 + 7.48502I 0
u = 0.771011 + 0.200658I
a = 2.78351 − 1.38553I
b = −0.083726 − 0.988222I
−6.85240 + 0.32424I −7.87477 + 0.I
u = 0.771011 − 0.200658I
a = 2.78351 + 1.38553I
b = −0.083726 + 0.988222I
−6.85240 − 0.32424I −7.87477 + 0.I
u = 0.694423 + 0.370604I
a = 3.61053 − 1.83626I
b = −0.237859 − 0.508002I
1.48318 + 8.34940I 0. − 16.8087I
u = 0.694423 − 0.370604I
a = 3.61053 + 1.83626I
b = −0.237859 + 0.508002I
1.48318 − 8.34940I 0. + 16.8087I
u = −0.265946 + 1.184640I
a = 0.59705 + 1.44904I
b = −0.043997 + 0.893313I
−4.47265 + 1.52504I 0
u = −0.265946 − 1.184640I
a = 0.59705 − 1.44904I
b = −0.043997 − 0.893313I
−4.47265 − 1.52504I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.552197 + 0.547191I
a = 1.63052 + 0.94821I
b = −0.339201 + 1.025770I
−4.24657 + 1.85447I −7.98295 + 0.I
u = −0.552197 − 0.547191I
a = 1.63052 − 0.94821I
b = −0.339201 − 1.025770I
−4.24657 − 1.85447I −7.98295 + 0.I
u = −0.763977 + 0.057035I
a = −0.059145 − 0.428232I
b = 1.40486 − 0.17471I
3.48815 − 1.53061I 12.26542 + 4.29249I
u = −0.763977 − 0.057035I
a = −0.059145 + 0.428232I
b = 1.40486 + 0.17471I
3.48815 + 1.53061I 12.26542 − 4.29249I
u = −1.199460 + 0.447234I
a = −1.10205 − 1.10101I
b = 0.621610 − 1.128230I
2.34214 − 5.17482I 0
u = −1.199460 − 0.447234I
a = −1.10205 + 1.10101I
b = 0.621610 + 1.128230I
2.34214 + 5.17482I 0
u = −0.658010 + 0.005393I
a = 1.35299 + 2.13365I
b = 0.245287 + 1.235140I
−0.97267 + 3.08874I 2.10814 − 12.25501I
u = −0.658010 − 0.005393I
a = 1.35299 − 2.13365I
b = 0.245287 − 1.235140I
−0.97267 − 3.08874I 2.10814 + 12.25501I
u = 0.279431 + 1.318880I
a = 0.390764 − 1.163780I
b = 0.041156 − 1.071620I
−5.20193 + 1.48724I 0
u = 0.279431 − 1.318880I
a = 0.390764 + 1.163780I
b = 0.041156 + 1.071620I
−5.20193 − 1.48724I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.124070 + 0.781925I
a = −0.458103 + 1.140770I
b = 0.45026 + 1.43810I
−2.59018 + 5.28371I 0
u = 1.124070 − 0.781925I
a = −0.458103 − 1.140770I
b = 0.45026 − 1.43810I
−2.59018 − 5.28371I 0
u = 0.484559 + 1.303970I
a = −0.022180 − 0.979856I
b = 0.449729 − 1.019470I
−3.17695 − 4.69866I 0
u = 0.484559 − 1.303970I
a = −0.022180 + 0.979856I
b = 0.449729 + 1.019470I
−3.17695 + 4.69866I 0
u = −1.403370 + 0.022207I
a = −0.883876 − 0.060349I
b = 0.211180 + 0.450931I
5.33643 − 0.55677I 0
u = −1.403370 − 0.022207I
a = −0.883876 + 0.060349I
b = 0.211180 − 0.450931I
5.33643 + 0.55677I 0
u = 1.317340 + 0.512508I
a = −0.898315 + 0.927856I
b = 0.650228 + 1.249810I
0.67435 + 10.73070I 0
u = 1.317340 − 0.512508I
a = −0.898315 − 0.927856I
b = 0.650228 − 1.249810I
0.67435 − 10.73070I 0
u = −0.02435 + 1.44625I
a = −0.30749 + 1.41714I
b = 0.348268 + 0.774756I
−2.17017 − 1.38687I 0
u = −0.02435 − 1.44625I
a = −0.30749 − 1.41714I
b = 0.348268 − 0.774756I
−2.17017 + 1.38687I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.456649 + 0.262826I
a = 1.63030 − 1.13005I
b = −0.304907 − 1.334800I
−5.69363 + 0.19025I −6.11129 − 0.75867I
u = 0.456649 − 0.262826I
a = 1.63030 + 1.13005I
b = −0.304907 + 1.334800I
−5.69363 − 0.19025I −6.11129 + 0.75867I
u = 1.48618 + 0.03743I
a = −0.707939 − 0.393448I
b = 0.065469 − 0.396743I
5.37880 + 6.40444I 0
u = 1.48618 − 0.03743I
a = −0.707939 + 0.393448I
b = 0.065469 + 0.396743I
5.37880 − 6.40444I 0
u = −1.46393 + 0.27216I
a = 0.282276 + 0.002379I
b = −0.152758 + 0.585186I
1.51964 − 6.95526I 0
u = −1.46393 − 0.27216I
a = 0.282276 − 0.002379I
b = −0.152758 − 0.585186I
1.51964 + 6.95526I 0
u = 0.425737 + 0.269090I
a = 2.84255 − 0.79330I
b = −0.780936 − 0.615351I
−2.73512 + 4.72320I −7.75911 − 8.68693I
u = 0.425737 − 0.269090I
a = 2.84255 + 0.79330I
b = −0.780936 + 0.615351I
−2.73512 − 4.72320I −7.75911 + 8.68693I
u = 1.47221 + 0.27325I
a = −1.159240 + 0.652230I
b = 0.370989 + 0.913382I
−4.48884 + 1.51795I 0
u = 1.47221 − 0.27325I
a = −1.159240 − 0.652230I
b = 0.370989 − 0.913382I
−4.48884 − 1.51795I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.490355 + 0.060592I
a = 0.93666 + 1.50626I
b = 0.33192 + 1.55243I
−4.07189 + 8.23877I 6.03731 − 11.67527I
u = 0.490355 − 0.060592I
a = 0.93666 − 1.50626I
b = 0.33192 − 1.55243I
−4.07189 − 8.23877I 6.03731 + 11.67527I
u = −0.463622 + 0.153454I
a = 2.49945 + 1.16476I
b = −0.717000 + 0.921279I
−3.58981 − 6.51029I −4.79929 + 5.60917I
u = −0.463622 − 0.153454I
a = 2.49945 − 1.16476I
b = −0.717000 − 0.921279I
−3.58981 + 6.51029I −4.79929 − 5.60917I
u = 1.56789 + 0.19139I
a = 0.164177 − 0.398683I
b = −0.142342 − 0.452786I
2.99491 + 3.94128I 0
u = 1.56789 − 0.19139I
a = 0.164177 + 0.398683I
b = −0.142342 + 0.452786I
2.99491 − 3.94128I 0
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
56
− 34u
55
+ ··· − 55u + 1)
· (u
194
+ 93u
193
+ ··· + 10148842326u + 242020249)
c
2
(u
56
− 2u
55
+ ··· − 9u + 1)(u
194
+ u
193
+ ··· − 18064u + 15557)
c
3
(u
56
− u
55
+ ··· + 12u
2
+ 1)(u
194
− 2u
193
+ ··· − 61u + 1)
c
4
(u
56
− u
55
+ ··· + 72u + 73)
· (u
194
− 6u
192
+ ··· + 43312357u + 11436607)
c
5
(u
56
+ 2u
55
+ ··· + 2u + 1)(u
194
+ u
193
+ ··· + 117893u + 245459)
c
6
(u
56
+ 8u
55
+ ··· − u + 1)(u
194
− 11u
193
+ ··· − 190u + 23)
c
7
(u
56
+ 2u
55
+ ··· + 9u + 1)(u
194
+ u
193
+ ··· − 18064u + 15557)
c
8
(u
56
+ 16u
55
+ ··· + 8u + 1)(u
194
− 15u
193
+ ··· + 667643u + 215671)
c
9
(u
56
+ 4u
55
+ ··· − 101u + 23)(u
194
− 7u
193
+ ··· − 76956u + 12989)
c
10
(u
56
− 8u
54
+ ··· − u + 1)(u
194
− 3u
193
+ ··· + 74u + 1)
c
11
(u
56
− 16u
55
+ ··· − 8u + 1)(u
194
− 15u
193
+ ··· + 667643u + 215671)
c
12
(u
56
− 2u
55
+ ··· − 2u + 1)(u
194
+ u
193
+ ··· + 117893u + 245459)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
56
− 2y
55
+ ··· − 343y + 1)
· (y
194
+ 39y
193
+ ··· + 4148575594390299166y + 58573800926022001)
c
2
, c
7
(y
56
− 34y
55
+ ··· − 55y + 1)
· (y
194
− 93y
193
+ ··· − 10148842326y + 242020249)
c
3
(y
56
+ 7y
55
+ ··· + 24y + 1)(y
194
+ 4y
193
+ ··· + 373y + 1)
c
4
(y
56
+ 15y
55
+ ··· − 15550y + 5329)
· (y
194
− 12y
193
+ ··· − 567942991784177y + 130795979672449)
c
5
, c
12
(y
56
− 30y
55
+ ··· − 46y + 1)
· (y
194
− 109y
193
+ ··· − 3655898635621y + 60250120681)
c
6
(y
56
− 20y
55
+ ··· + 11y + 1)(y
194
− 7y
193
+ ··· + 26644y + 529)
c
8
, c
11
(y
56
+ 24y
55
+ ··· + 52y + 1)
· (y
194
+ 93y
193
+ ··· + 1846508165973y + 46513980241)
c
9
(y
56
− 30y
55
+ ··· + 3277y + 529)
· (y
194
− 9y
193
+ ··· + 30908265410y + 168714121)
c
10
(y
56
− 16y
55
+ ··· − 9y + 1)(y
194
− 15y
193
+ ··· − 540y + 1)
37
