12a
1188
(K12a
1188
)
A knot diagram
1
Linearized knot diagam
4 10 11 8 9 3 2 1 12 7 6 5
Solving Sequence
7,10 3,11
4 2 8 1 6 12 9 5
c
10
c
3
c
2
c
7
c
1
c
6
c
11
c
9
c
5
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.81506 × 10
2919
u
239
− 1.08972 × 10
2920
u
238
+ ··· + 4.30429 × 10
2919
b − 1.97379 × 10
2919
,
− 5.27544 × 10
2905
u
239
+ 3.16294 × 10
2906
u
238
+ ··· + 1.89211 × 10
2905
a + 1.16747 × 10
2906
,
u
240
− 6u
239
+ ··· + 10u + 1i
I
u
2
= h−2.64041 × 10
167
u
63
+ 8.31490 × 10
167
u
62
+ ··· + 4.36412 × 10
167
b + 2.46869 × 10
167
,
8.16860 × 10
164
u
63
− 2.18885 × 10
165
u
62
+ ··· + 1.84218 × 10
164
a − 3.02215 × 10
164
, u
64
− 3u
63
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 304 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
= h1.82 × 10
2919
u
239
− 1.09 × 10
2920
u
238
+ · · · + 4.30 × 10
2919
b − 1.97 ×
10
2919
, −5.28 × 10
2905
u
239
+ 3.16 × 10
2906
u
238
+ · · · + 1.89 × 10
2905
a +
1.17 × 10
2906
, u
240
− 6u
239
+ · · · + 10u + 1i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
3
=
2.78813u
239
− 16.7165u
238
+ ··· − 5.43938u − 6.17024
−0.421687u
239
+ 2.53172u
238
+ ··· + 6.21740u + 0.458564
a
11
=
1
−u
2
a
4
=
3.25402u
239
− 19.5063u
238
+ ··· − 8.74602u − 6.61654
−0.384909u
239
+ 2.30152u
238
+ ··· + 6.73880u + 0.464116
a
2
=
3.20982u
239
− 19.2483u
238
+ ··· − 11.6568u − 6.62880
−0.421687u
239
+ 2.53172u
238
+ ··· + 6.21740u + 0.458564
a
8
=
3.66418u
239
− 21.6821u
238
+ ··· + 143.995u − 9.87242
−0.0549898u
239
+ 0.268874u
238
+ ··· + 15.4207u + 3.35693
a
1
=
3.81437u
239
− 22.9434u
238
+ ··· + 2.58637u − 6.43776
−0.446474u
239
+ 2.66940u
238
+ ··· + 6.43698u − 0.125884
a
6
=
3.56736u
239
− 21.2165u
238
+ ··· + 171.565u − 3.31915
−0.0418322u
239
+ 0.196767u
238
+ ··· + 14.1492u + 3.19633
a
12
=
1.50713u
239
− 9.09463u
238
+ ··· + 30.2331u − 0.181601
0.112580u
239
− 0.719524u
238
+ ··· + 2.39539u + 0.954201
a
9
=
1.04405u
239
− 6.46589u
238
+ ··· − 32.4340u − 4.21920
−0.615053u
239
+ 3.78553u
238
+ ··· − 6.21318u − 1.93610
a
5
=
6.38370u
239
− 38.1804u
238
+ ··· + 325.441u + 6.54059
−0.817778u
239
+ 4.98347u
238
+ ··· − 8.13549u − 0.697420
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.57847u
239
− 10.3573u
238
+ ··· − 181.846u − 1.67149
2
(iv) u-Polynomials at the component
3
Crossings u-Polynomials at each crossing
c
1
u
240
+ 11u
239
+ ··· − 149360u + 19984
c
2
u
240
+ u
239
+ ··· + 81u + 1
c
3
u
240
− u
239
+ ··· − 81u + 1
c
4
u
240
+ 3u
239
+ ··· + 2694745u + 109393
c
5
u
240
− 3u
239
+ ··· − 2694745u + 109393
c
6
u
240
+ 6u
239
+ ··· − 10u + 1
c
7
u
240
+ u
239
+ ··· + 412134229504u + 89704305664
c
8
u
240
+ 17u
238
+ ··· − 455354u + 53269
c
9
u
240
− 11u
239
+ ··· + 149360u + 19984
c
10
u
240
− 6u
239
+ ··· + 10u + 1
c
11
u
240
− u
239
+ ··· − 412134229504u + 89704305664
c
12
u
240
+ 17u
238
+ ··· + 455354u + 53269
4
5
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
240
+ 19y
239
+ ··· + 58000092160y + 399360256
c
2
, c
3
y
240
+ 31y
239
+ ··· − 443y + 1
c
4
, c
5
y
240
− 31y
239
+ ··· − 2123917792621y + 11966828449
c
6
, c
10
y
240
+ 24y
239
+ ··· + 176y + 1
c
7
, c
11
y
240
+ 79y
239
+ ··· − 5.06 × 10
23
y + 8.05 × 10
21
c
8
, c
12
y
240
+ 34y
239
+ ··· + 461228757544y + 2837586361
6
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.462173 + 0.889612I
a = −1.205520 − 0.585035I
b = −0.130224 − 0.650718I
−1.66054 + 0.42784I 0
u = −0.462173 − 0.889612I
a = −1.205520 + 0.585035I
b = −0.130224 + 0.650718I
−1.66054 − 0.42784I 0
u = −0.955315 + 0.283983I
a = −0.265351 + 0.329439I
b = −1.04054 + 1.12378I
2.32347 − 4.18248I 0
u = −0.955315 − 0.283983I
a = −0.265351 − 0.329439I
b = −1.04054 − 1.12378I
2.32347 + 4.18248I 0
u = −0.752413 + 0.653296I
a = 0.594249 − 0.646863I
b = −0.355511 + 0.287540I
−1.83854 − 2.39098I 0
u = −0.752413 − 0.653296I
a = 0.594249 + 0.646863I
b = −0.355511 − 0.287540I
−1.83854 + 2.39098I 0
u = −0.564784 + 0.843184I
a = −0.25618 + 1.62455I
b = −0.94983 + 1.54327I
1.95547 − 5.70601I 0
u = −0.564784 − 0.843184I
a = −0.25618 − 1.62455I
b = −0.94983 − 1.54327I
1.95547 + 5.70601I 0
u = −0.112788 + 0.974457I
a = −1.33083 + 0.78769I
b = −0.160752 + 0.511728I
−3.13991 − 10.22530I 0
u = −0.112788 − 0.974457I
a = −1.33083 − 0.78769I
b = −0.160752 − 0.511728I
−3.13991 + 10.22530I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.851605 + 0.574305I
a = 0.117778 + 0.090949I
b = 0.916781 + 0.207243I
0.95651 + 1.30346I 0
u = 0.851605 − 0.574305I
a = 0.117778 − 0.090949I
b = 0.916781 − 0.207243I
0.95651 − 1.30346I 0
u = 0.962888 + 0.076989I
a = −0.123291 − 0.677784I
b = −0.61778 − 1.59419I
3.77428 + 3.63498I 0
u = 0.962888 − 0.076989I
a = −0.123291 + 0.677784I
b = −0.61778 + 1.59419I
3.77428 − 3.63498I 0
u = −0.758729 + 0.593105I
a = −0.04017 + 1.56316I
b = −0.861363 + 0.697584I
6.08093 − 2.08294I 0
u = −0.758729 − 0.593105I
a = −0.04017 − 1.56316I
b = −0.861363 − 0.697584I
6.08093 + 2.08294I 0
u = −1.027460 + 0.144503I
a = 0.961208 + 0.275825I
b = −0.538282 + 0.432730I
− 6.17244I 0
u = −1.027460 − 0.144503I
a = 0.961208 − 0.275825I
b = −0.538282 − 0.432730I
6.17244I 0
u = 0.983829 + 0.361988I
a = −0.162275 + 0.616807I
b = −0.249772 + 1.272020I
3.26283 + 2.70754I 0
u = 0.983829 − 0.361988I
a = −0.162275 − 0.616807I
b = −0.249772 − 1.272020I
3.26283 − 2.70754I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.843979 + 0.626338I
a = 0.11343 + 1.56019I
b = −0.775740 + 0.550166I
5.39279 − 6.94228I 0
u = −0.843979 − 0.626338I
a = 0.11343 − 1.56019I
b = −0.775740 − 0.550166I
5.39279 + 6.94228I 0
u = −0.172009 + 1.038400I
a = 0.519630 − 1.309040I
b = 0.146076 − 0.681818I
−2.54684 − 2.74438I 0
u = −0.172009 − 1.038400I
a = 0.519630 + 1.309040I
b = 0.146076 + 0.681818I
−2.54684 + 2.74438I 0
u = 0.732181 + 0.588336I
a = −0.190030 + 0.674014I
b = 0.795753 + 0.513770I
1.36746 + 1.23188I 0
u = 0.732181 − 0.588336I
a = −0.190030 − 0.674014I
b = 0.795753 − 0.513770I
1.36746 − 1.23188I 0
u = 0.621211 + 0.869444I
a = −0.47955 − 1.65018I
b = −1.21639 − 0.92379I
2.94911 + 3.94406I 0
u = 0.621211 − 0.869444I
a = −0.47955 + 1.65018I
b = −1.21639 + 0.92379I
2.94911 − 3.94406I 0
u = 0.254211 + 1.039930I
a = 0.300450 − 0.075517I
b = 1.48858 − 0.42954I
−1.50146 + 0.64615I 0
u = 0.254211 − 1.039930I
a = 0.300450 + 0.075517I
b = 1.48858 + 0.42954I
−1.50146 − 0.64615I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.873327 + 0.627565I
a = 0.07075 − 1.45313I
b = 1.111060 − 0.393869I
5.34578 + 4.51566I 0
u = −0.873327 − 0.627565I
a = 0.07075 + 1.45313I
b = 1.111060 + 0.393869I
5.34578 − 4.51566I 0
u = 0.974649 + 0.487952I
a = 0.100632 − 1.083240I
b = −0.53954 − 1.51937I
1.60477 + 7.07465I 0
u = 0.974649 − 0.487952I
a = 0.100632 + 1.083240I
b = −0.53954 + 1.51937I
1.60477 − 7.07465I 0
u = −0.307093 + 0.851024I
a = 0.578632 − 1.127990I
b = −0.178633 − 0.580618I
−1.87666 − 1.61146I 0
u = −0.307093 − 0.851024I
a = 0.578632 + 1.127990I
b = −0.178633 + 0.580618I
−1.87666 + 1.61146I 0
u = 0.511715 + 0.737443I
a = −0.710951 + 0.653603I
b = 0.523693 + 0.557440I
1.43357 + 1.49420I 0
u = 0.511715 − 0.737443I
a = −0.710951 − 0.653603I
b = 0.523693 − 0.557440I
1.43357 − 1.49420I 0
u = 0.672934 + 0.875350I
a = −0.0671478 − 0.0909015I
b = −0.300114 + 0.615676I
−0.31028 + 2.82362I 0
u = 0.672934 − 0.875350I
a = −0.0671478 + 0.0909015I
b = −0.300114 − 0.615676I
−0.31028 − 2.82362I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.082270 + 0.254160I
a = 0.160105 − 0.746243I
b = 0.058687 − 0.807551I
3.77157 − 4.59426I 0
u = −1.082270 − 0.254160I
a = 0.160105 + 0.746243I
b = 0.058687 + 0.807551I
3.77157 + 4.59426I 0
u = −0.024528 + 0.874929I
a = 0.770188 + 0.838379I
b = 0.908644 + 0.386792I
1.83854 + 2.39098I 0
u = −0.024528 − 0.874929I
a = 0.770188 − 0.838379I
b = 0.908644 − 0.386792I
1.83854 − 2.39098I 0
u = −0.845800 + 0.189828I
a = −0.762292 + 0.700803I
b = −0.230871 − 0.163427I
−1.43357 + 1.49420I 0
u = −0.845800 − 0.189828I
a = −0.762292 − 0.700803I
b = −0.230871 + 0.163427I
−1.43357 − 1.49420I 0
u = −0.847352 + 0.179873I
a = 0.163280 − 0.857037I
b = 0.77527 − 1.26461I
4.14524 − 4.46886I 0
u = −0.847352 − 0.179873I
a = 0.163280 + 0.857037I
b = 0.77527 + 1.26461I
4.14524 + 4.46886I 0
u = −0.357235 + 0.788094I
a = −0.77592 − 1.59842I
b = 0.720457 − 1.171540I
−0.78557 − 6.22013I 0
u = −0.357235 − 0.788094I
a = −0.77592 + 1.59842I
b = 0.720457 + 1.171540I
−0.78557 + 6.22013I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.261871 + 0.822610I
a = 1.79232 − 0.30332I
b = 0.160816 + 0.388613I
−3.42009 + 2.34373I 0
u = −0.261871 − 0.822610I
a = 1.79232 + 0.30332I
b = 0.160816 − 0.388613I
−3.42009 − 2.34373I 0
u = 0.011461 + 0.857355I
a = −0.54606 + 1.68283I
b = 0.083402 + 1.236880I
−4.47839 + 4.82263I 0
u = 0.011461 − 0.857355I
a = −0.54606 − 1.68283I
b = 0.083402 − 1.236880I
−4.47839 − 4.82263I 0
u = 0.808852 + 0.279800I
a = −1.07659 + 1.79670I
b = 0.697932 + 0.143093I
3.49598 + 5.30010I 0
u = 0.808852 − 0.279800I
a = −1.07659 − 1.79670I
b = 0.697932 − 0.143093I
3.49598 − 5.30010I 0
u = 0.782250 + 0.838827I
a = 0.360032 + 0.701847I
b = 1.132720 + 0.172502I
1.87666 + 1.61146I 0
u = 0.782250 − 0.838827I
a = 0.360032 − 0.701847I
b = 1.132720 − 0.172502I
1.87666 − 1.61146I 0
u = 0.016389 + 0.848325I
a = 0.274853 + 1.281080I
b = 0.17466 + 1.72150I
−3.77157 + 4.59426I 0
u = 0.016389 − 0.848325I
a = 0.274853 − 1.281080I
b = 0.17466 − 1.72150I
−3.77157 − 4.59426I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.187342 + 1.140860I
a = 1.028090 + 0.124438I
b = −0.0574189 + 0.0175925I
−2.72621 + 0.44591I 0
u = 0.187342 − 1.140860I
a = 1.028090 − 0.124438I
b = −0.0574189 − 0.0175925I
−2.72621 − 0.44591I 0
u = 0.904298 + 0.736208I
a = 0.046826 + 1.167730I
b = 1.049570 + 0.855059I
5.29473 + 2.58473I 0
u = 0.904298 − 0.736208I
a = 0.046826 − 1.167730I
b = 1.049570 − 0.855059I
5.29473 − 2.58473I 0
u = −0.084362 + 0.829363I
a = −1.64711 − 0.69235I
b = −0.249405 − 0.660293I
−3.70870 + 3.57300I 0
u = −0.084362 − 0.829363I
a = −1.64711 + 0.69235I
b = −0.249405 + 0.660293I
−3.70870 − 3.57300I 0
u = 0.314399 + 0.765717I
a = −1.47843 + 1.18572I
b = 0.408518 + 0.801422I
0.78908 + 6.16308I 0
u = 0.314399 − 0.765717I
a = −1.47843 − 1.18572I
b = 0.408518 − 0.801422I
0.78908 − 6.16308I 0
u = 0.626647 + 1.006670I
a = 0.085027 − 0.915261I
b = −0.56243 − 2.19475I
−1.60477 + 7.07465I 0
u = 0.626647 − 1.006670I
a = 0.085027 + 0.915261I
b = −0.56243 + 2.19475I
−1.60477 − 7.07465I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.885936 + 0.788459I
a = −0.238962 − 0.422002I
b = −0.88455 − 1.24304I
−0.11810 + 5.03004I 0
u = 0.885936 − 0.788459I
a = −0.238962 + 0.422002I
b = −0.88455 + 1.24304I
−0.11810 − 5.03004I 0
u = −0.969199 + 0.685117I
a = −0.17450 − 1.40517I
b = 1.119210 − 0.485214I
4.4535 − 13.8077I 0
u = −0.969199 − 0.685117I
a = −0.17450 + 1.40517I
b = 1.119210 + 0.485214I
4.4535 + 13.8077I 0
u = 0.050638 + 1.196220I
a = 0.958636 − 0.116032I
b = 1.41265 − 0.29947I
2.72621 − 0.44591I 0
u = 0.050638 − 1.196220I
a = 0.958636 + 0.116032I
b = 1.41265 + 0.29947I
2.72621 + 0.44591I 0
u = 0.391673 + 0.694321I
a = 2.00478 − 1.10448I
b = −0.384587 − 0.946911I
−1.0870 + 14.1748I 0
u = 0.391673 − 0.694321I
a = 2.00478 + 1.10448I
b = −0.384587 + 0.946911I
−1.0870 − 14.1748I 0
u = 0.972467 + 0.713462I
a = −0.141213 − 1.192780I
b = −0.728438 − 0.289240I
4.98335 + 6.29912I 0
u = 0.972467 − 0.713462I
a = −0.141213 + 1.192780I
b = −0.728438 + 0.289240I
4.98335 − 6.29912I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.570287 + 0.548270I
a = −0.106715 − 0.804546I
b = 1.35023 − 1.26672I
−2.14067 − 6.36358I 0
u = −0.570287 − 0.548270I
a = −0.106715 + 0.804546I
b = 1.35023 + 1.26672I
−2.14067 + 6.36358I 0
u = −0.038374 + 0.769767I
a = −0.050198 + 0.296760I
b = −1.42638 + 0.81708I
−4.41937 + 0.30153I 0
u = −0.038374 − 0.769767I
a = −0.050198 − 0.296760I
b = −1.42638 − 0.81708I
−4.41937 − 0.30153I 0
u = −0.707686 + 0.267204I
a = 0.34600 + 1.98429I
b = 0.0243930 + 0.1091550I
3.25544 − 3.10252I 0
u = −0.707686 − 0.267204I
a = 0.34600 − 1.98429I
b = 0.0243930 − 0.1091550I
3.25544 + 3.10252I 0
u = 0.015802 + 0.755582I
a = 0.214511 + 1.125940I
b = −0.62598 + 1.90201I
−4.14524 + 4.46886I 0
u = 0.015802 − 0.755582I
a = 0.214511 − 1.125940I
b = −0.62598 − 1.90201I
−4.14524 − 4.46886I 0
u = −0.489053 + 0.570905I
a = −0.253226 + 0.553916I
b = −1.70640 + 1.16467I
−2.34716 − 5.38219I 0
u = −0.489053 − 0.570905I
a = −0.253226 − 0.553916I
b = −1.70640 − 1.16467I
−2.34716 + 5.38219I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.942583 + 0.821802I
a = −0.100167 − 1.294480I
b = −1.324300 − 0.414916I
1.96692 + 4.81207I 0
u = 0.942583 − 0.821802I
a = −0.100167 + 1.294480I
b = −1.324300 + 0.414916I
1.96692 − 4.81207I 0
u = 1.079040 + 0.661013I
a = −0.247126 + 1.142640I
b = 1.261650 + 0.272557I
1.78281 + 3.94174I 0
u = 1.079040 − 0.661013I
a = −0.247126 − 1.142640I
b = 1.261650 − 0.272557I
1.78281 − 3.94174I 0
u = 0.103017 + 0.703146I
a = 0.404742 − 0.680349I
b = −1.147920 − 0.456898I
−3.79747 + 0.05325I 0
u = 0.103017 − 0.703146I
a = 0.404742 + 0.680349I
b = −1.147920 + 0.456898I
−3.79747 − 0.05325I 0
u = 0.670965 + 0.218079I
a = 0.218425 + 0.724509I
b = 1.42925 + 1.96395I
0.62171 + 12.40400I 0
u = 0.670965 − 0.218079I
a = 0.218425 − 0.724509I
b = 1.42925 − 1.96395I
0.62171 − 12.40400I 0
u = −0.323233 + 0.625479I
a = 0.073694 + 0.246867I
b = 1.78398 + 0.24359I
−2.41267 − 7.83325I 0
u = −0.323233 − 0.625479I
a = 0.073694 − 0.246867I
b = 1.78398 − 0.24359I
−2.41267 + 7.83325I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.768410 + 1.057980I
a = 0.226856 − 1.138030I
b = 1.04099 − 1.24092I
−3.23355 − 7.16796I 0
u = −0.768410 − 1.057980I
a = 0.226856 + 1.138030I
b = 1.04099 + 1.24092I
−3.23355 + 7.16796I 0
u = 0.002632 + 0.684261I
a = −1.24898 − 2.06304I
b = −0.288372 − 1.060070I
−3.99523 + 1.15874I 0
u = 0.002632 − 0.684261I
a = −1.24898 + 2.06304I
b = −0.288372 + 1.060070I
−3.99523 − 1.15874I 0
u = −0.310551 + 0.602795I
a = −2.34703 − 1.66000I
b = 0.291231 − 1.054070I
−3.36622 − 5.19098I 0
u = −0.310551 − 0.602795I
a = −2.34703 + 1.66000I
b = 0.291231 + 1.054070I
−3.36622 + 5.19098I 0
u = −0.382927 + 0.548091I
a = −0.39892 − 1.51630I
b = 0.82491 − 1.67264I
−3.26283 − 2.70754I 0
u = −0.382927 − 0.548091I
a = −0.39892 + 1.51630I
b = 0.82491 + 1.67264I
−3.26283 + 2.70754I 0
u = −0.066534 + 0.662122I
a = −0.25978 − 1.42814I
b = 0.63087 − 2.23686I
−3.77428 + 3.63498I 0
u = −0.066534 − 0.662122I
a = −0.25978 + 1.42814I
b = 0.63087 + 2.23686I
−3.77428 − 3.63498I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.535683 + 0.381699I
a = −0.38749 − 1.37440I
b = −0.178969 − 0.478082I
−1.36746 − 1.23188I 0
u = −0.535683 − 0.381699I
a = −0.38749 + 1.37440I
b = −0.178969 + 0.478082I
−1.36746 + 1.23188I 0
u = 1.077610 + 0.802055I
a = −0.671396 − 0.325827I
b = −0.085251 + 0.678626I
1.66054 + 0.42784I 0
u = 1.077610 − 0.802055I
a = −0.671396 + 0.325827I
b = −0.085251 − 0.678626I
1.66054 − 0.42784I 0
u = 0.501966 + 0.400313I
a = −0.162012 + 1.221450I
b = −0.84449 + 1.21980I
2.14067 + 6.36358I 0
u = 0.501966 − 0.400313I
a = −0.162012 − 1.221450I
b = −0.84449 − 1.21980I
2.14067 − 6.36358I 0
u = −0.817348 + 1.090450I
a = 0.034285 − 0.854987I
b = 0.492357 − 1.239410I
−5.29473 − 2.58473I 0
u = −0.817348 − 1.090450I
a = 0.034285 + 0.854987I
b = 0.492357 + 1.239410I
−5.29473 + 2.58473I 0
u = −0.373244 + 0.509989I
a = 2.73801 + 0.69366I
b = −0.427915 + 0.862114I
−2.94445 − 5.95495I 0
u = −0.373244 − 0.509989I
a = 2.73801 − 0.69366I
b = −0.427915 − 0.862114I
−2.94445 + 5.95495I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.936768 + 1.008610I
a = −0.073762 − 0.997276I
b = −0.947418 − 0.384192I
4.56409I 0
u = 0.936768 − 1.008610I
a = −0.073762 + 0.997276I
b = −0.947418 + 0.384192I
− 4.56409I 0
u = −0.209648 + 0.587000I
a = 1.49314 − 2.16188I
b = −0.088641 − 0.637789I
−3.22625 − 0.60604I 0
u = −0.209648 − 0.587000I
a = 1.49314 + 2.16188I
b = −0.088641 + 0.637789I
−3.22625 + 0.60604I 0
u = 0.171638 + 0.576245I
a = −2.94675 + 0.51136I
b = 0.229630 + 0.251769I
−2.22153 + 7.08409I 0
u = 0.171638 − 0.576245I
a = −2.94675 − 0.51136I
b = 0.229630 − 0.251769I
−2.22153 − 7.08409I 0
u = −0.178551 + 0.555541I
a = 2.35770 + 2.27779I
b = −0.256280 + 0.620793I
1.39813 − 5.53123I 0
u = −0.178551 − 0.555541I
a = 2.35770 − 2.27779I
b = −0.256280 − 0.620793I
1.39813 + 5.53123I 0
u = 0.78328 + 1.18885I
a = 0.358655 + 1.066050I
b = 1.07263 + 1.15587I
−2.29556 + 13.21820I 0
u = 0.78328 − 1.18885I
a = 0.358655 − 1.066050I
b = 1.07263 − 1.15587I
−2.29556 − 13.21820I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.121027 + 0.562279I
a = −1.01604 − 1.79431I
b = 0.33400 − 1.64576I
0.11810 + 5.03004I 0
u = 0.121027 − 0.562279I
a = −1.01604 + 1.79431I
b = 0.33400 + 1.64576I
0.11810 − 5.03004I 0
u = −0.70595 + 1.24316I
a = −0.512321 + 0.858794I
b = −1.021910 + 0.909034I
− 1.84370I 0
u = −0.70595 − 1.24316I
a = −0.512321 − 0.858794I
b = −1.021910 − 0.909034I
1.84370I 0
u = −1.07082 + 0.95466I
a = 0.040519 − 1.026880I
b = 0.69506 − 1.32008I
−0.55240 − 6.88390I 0
u = −1.07082 − 0.95466I
a = 0.040519 + 1.026880I
b = 0.69506 + 1.32008I
−0.55240 + 6.88390I 0
u = 0.520080 + 0.214505I
a = 0.645839 + 1.085620I
b = 1.245170 + 0.069108I
3.79747 − 0.05325I 0
u = 0.520080 − 0.214505I
a = 0.645839 − 1.085620I
b = 1.245170 − 0.069108I
3.79747 + 0.05325I 0
u = 0.71368 + 1.26069I
a = −0.097883 − 0.826787I
b = −0.865049 − 1.006040I
−4.98335 + 6.29912I 0
u = 0.71368 − 1.26069I
a = −0.097883 + 0.826787I
b = −0.865049 + 1.006040I
−4.98335 − 6.29912I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.97912 + 1.07317I
a = −0.160083 − 1.021570I
b = −1.46014 − 0.86198I
1.78311 + 5.17535I 0
u = 0.97912 − 1.07317I
a = −0.160083 + 1.021570I
b = −1.46014 + 0.86198I
1.78311 − 5.17535I 0
u = 0.482042 + 0.235295I
a = 3.10691 + 0.29784I
b = −0.369158 − 0.672239I
0.69525 − 2.93626I 0
u = 0.482042 − 0.235295I
a = 3.10691 − 0.29784I
b = −0.369158 + 0.672239I
0.69525 + 2.93626I 0
u = −0.011445 + 0.533754I
a = 0.381448 − 1.265250I
b = −1.30517 − 2.31958I
−0.62171 − 12.40400I 0
u = −0.011445 − 0.533754I
a = 0.381448 + 1.265250I
b = −1.30517 + 2.31958I
−0.62171 + 12.40400I 0
u = 0.93693 + 1.13829I
a = 0.038366 + 0.972314I
b = 1.39490 + 1.64454I
0.55240 + 6.88390I 0
u = 0.93693 − 1.13829I
a = 0.038366 − 0.972314I
b = 1.39490 − 1.64454I
0.55240 − 6.88390I 0
u = −1.02196 + 1.06959I
a = −0.180821 − 0.836061I
b = 0.548087 − 0.751157I
−1.78281 − 3.94174I 0
u = −1.02196 − 1.06959I
a = −0.180821 + 0.836061I
b = 0.548087 + 0.751157I
−1.78281 + 3.94174I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26993 + 0.76475I
a = 0.261962 + 0.659930I
b = 0.866484 − 0.505339I
2.54684 + 2.74438I 0
u = 1.26993 − 0.76475I
a = 0.261962 − 0.659930I
b = 0.866484 + 0.505339I
2.54684 − 2.74438I 0
u = 0.71316 + 1.30764I
a = −0.515961 − 0.216880I
b = −0.774940 + 0.041492I
3.70870 + 3.57300I 0
u = 0.71316 − 1.30764I
a = −0.515961 + 0.216880I
b = −0.774940 − 0.041492I
3.70870 − 3.57300I 0
u = −0.273938 + 0.426761I
a = 1.90797 + 2.45998I
b = −0.55193 + 1.36990I
−1.60043 − 5.74473I 0
u = −0.273938 − 0.426761I
a = 1.90797 − 2.45998I
b = −0.55193 − 1.36990I
−1.60043 + 5.74473I 0
u = 0.160807 + 0.475562I
a = −2.41787 − 2.62738I
b = −0.179793 − 0.006742I
0.35296 + 3.20640I 0
u = 0.160807 − 0.475562I
a = −2.41787 + 2.62738I
b = −0.179793 + 0.006742I
0.35296 − 3.20640I 0
u = 0.93958 + 1.17204I
a = −0.149717 − 0.955422I
b = −0.717623 − 1.001220I
−1.78311 + 5.17535I 0
u = 0.93958 − 1.17204I
a = −0.149717 + 0.955422I
b = −0.717623 + 1.001220I
−1.78311 − 5.17535I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.89664 + 1.20983I
a = −0.016427 + 0.639309I
b = −0.536503 + 1.083720I
−6.08093 − 2.08294I 0
u = −0.89664 − 1.20983I
a = −0.016427 − 0.639309I
b = −0.536503 − 1.083720I
−6.08093 + 2.08294I 0
u = −1.02936 + 1.10053I
a = −0.108003 + 1.031070I
b = −1.08095 + 1.04534I
2.5409 − 14.2142I 0
u = −1.02936 − 1.10053I
a = −0.108003 − 1.031070I
b = −1.08095 − 1.04534I
2.5409 + 14.2142I 0
u = −0.95764 + 1.16396I
a = 0.179599 − 1.041580I
b = 1.31052 − 1.18793I
−2.1141 − 14.1050I 0
u = −0.95764 − 1.16396I
a = 0.179599 + 1.041580I
b = 1.31052 + 1.18793I
−2.1141 + 14.1050I 0
u = −0.254550 + 0.412233I
a = 3.00776 − 1.24783I
b = −0.374742 + 0.300094I
−2.80459 − 1.69573I 0. + 10.92567I
u = −0.254550 − 0.412233I
a = 3.00776 + 1.24783I
b = −0.374742 − 0.300094I
−2.80459 + 1.69573I 0. − 10.92567I
u = −1.44904 + 0.44888I
a = −0.174455 + 0.537628I
b = −0.451646 − 0.010605I
4.47839 + 4.82263I 0
u = −1.44904 − 0.44888I
a = −0.174455 − 0.537628I
b = −0.451646 + 0.010605I
4.47839 − 4.82263I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.61747 + 1.38568I
a = −0.556467 + 0.329364I
b = −1.259180 + 0.066314I
3.13991 − 10.22530I 0
u = −0.61747 − 1.38568I
a = −0.556467 − 0.329364I
b = −1.259180 − 0.066314I
3.13991 + 10.22530I 0
u = 1.02969 + 1.11448I
a = 0.168469 + 0.845130I
b = 0.929336 + 1.007900I
3.23355 + 7.16796I 0
u = 1.02969 − 1.11448I
a = 0.168469 − 0.845130I
b = 0.929336 − 1.007900I
3.23355 − 7.16796I 0
u = −0.77507 + 1.31180I
a = 0.085282 + 0.489087I
b = −0.923422 + 0.830397I
−3.25544 − 3.10252I 0
u = −0.77507 − 1.31180I
a = 0.085282 − 0.489087I
b = −0.923422 − 0.830397I
−3.25544 + 3.10252I 0
u = 1.53689 + 0.04048I
a = −0.245776 − 0.506310I
b = −0.203329 + 0.054135I
0.78557 − 6.22013I 0
u = 1.53689 − 0.04048I
a = −0.245776 + 0.506310I
b = −0.203329 − 0.054135I
0.78557 + 6.22013I 0
u = −0.192393 + 0.415462I
a = −0.68265 + 1.49325I
b = 1.37512 + 1.25801I
2.34716 − 5.38219I 2.04719 + 12.06129I
u = −0.192393 − 0.415462I
a = −0.68265 − 1.49325I
b = 1.37512 − 1.25801I
2.34716 + 5.38219I 2.04719 − 12.06129I
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.02356 + 1.18020I
a = −0.100489 + 0.959339I
b = −1.27151 + 1.13373I
−2.5409 − 14.2142I 0
u = −1.02356 − 1.18020I
a = −0.100489 − 0.959339I
b = −1.27151 − 1.13373I
−2.5409 + 14.2142I 0
u = 0.85015 + 1.31345I
a = 0.033424 + 0.686543I
b = 0.455681 + 1.007420I
−5.34578 − 4.51566I 0
u = 0.85015 − 1.31345I
a = 0.033424 − 0.686543I
b = 0.455681 − 1.007420I
−5.34578 + 4.51566I 0
u = −1.37275 + 0.75927I
a = −0.411625 + 0.330128I
b = −0.558315 − 0.488426I
−0.78908 + 6.16308I 0
u = −1.37275 − 0.75927I
a = −0.411625 − 0.330128I
b = −0.558315 + 0.488426I
−0.78908 − 6.16308I 0
u = −0.21984 + 1.55381I
a = 0.542400 + 0.091793I
b = 1.059800 + 0.199128I
3.42009 − 2.34373I 0
u = −0.21984 − 1.55381I
a = 0.542400 − 0.091793I
b = 1.059800 − 0.199128I
3.42009 + 2.34373I 0
u = 1.02973 + 1.19091I
a = −0.144404 − 0.989519I
b = −1.23930 − 1.21021I
22.8238I 0
u = 1.02973 − 1.19091I
a = −0.144404 + 0.989519I
b = −1.23930 + 1.21021I
− 22.8238I 0
25
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.25123 + 1.55753I
a = 0.283652 + 0.117679I
b = 0.952859 + 0.199939I
2.80459 + 1.69573I 0
u = −0.25123 − 1.55753I
a = 0.283652 − 0.117679I
b = 0.952859 − 0.199939I
2.80459 − 1.69573I 0
u = 0.159939 + 0.390073I
a = −1.48289 + 1.84105I
b = 1.08256 + 1.54184I
−2.32347 − 4.18248I −5.80637 + 3.07602I
u = 0.159939 − 0.390073I
a = −1.48289 − 1.84105I
b = 1.08256 − 1.54184I
−2.32347 + 4.18248I −5.80637 − 3.07602I
u = −1.57249 + 0.14036I
a = 0.196863 − 0.253820I
b = 0.181064 − 0.660371I
1.60043 + 5.74473I 0
u = −1.57249 − 0.14036I
a = 0.196863 + 0.253820I
b = 0.181064 + 0.660371I
1.60043 − 5.74473I 0
u = 1.04036 + 1.20651I
a = 0.160767 + 0.932361I
b = 1.09009 + 1.13240I
2.1141 + 14.1050I 0
u = 1.04036 − 1.20651I
a = 0.160767 − 0.932361I
b = 1.09009 − 1.13240I
2.1141 − 14.1050I 0
u = −0.98645 + 1.26141I
a = 0.283498 − 0.842661I
b = 1.19967 − 0.97116I
2.29556 − 13.21820I 0
u = −0.98645 − 1.26141I
a = 0.283498 + 0.842661I
b = 1.19967 + 0.97116I
2.29556 + 13.21820I 0
26
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.96939 + 1.30247I
a = −0.059421 − 0.767912I
b = −0.659814 − 0.845957I
−1.96692 + 4.81207I 0
u = 0.96939 − 1.30247I
a = −0.059421 + 0.767912I
b = −0.659814 + 0.845957I
−1.96692 − 4.81207I 0
u = 0.95599 + 1.32971I
a = 0.216297 + 0.313171I
b = 1.069600 + 0.355394I
3.22625 + 0.60604I 0
u = 0.95599 − 1.32971I
a = 0.216297 − 0.313171I
b = 1.069600 − 0.355394I
3.22625 − 0.60604I 0
u = −1.07294 + 1.24572I
a = 0.046354 + 0.637576I
b = −0.910046 + 0.929505I
−5.39279 − 6.94228I 0
u = −1.07294 − 1.24572I
a = 0.046354 − 0.637576I
b = −0.910046 − 0.929505I
−5.39279 + 6.94228I 0
u = 1.40837 + 0.86006I
a = −0.214745 − 0.354712I
b = −0.303841 − 0.098636I
3.99523 + 1.15874I 0
u = 1.40837 − 0.86006I
a = −0.214745 + 0.354712I
b = −0.303841 + 0.098636I
3.99523 − 1.15874I 0
u = 0.154909 + 0.293248I
a = 3.13057 + 0.78685I
b = −1.223000 + 0.193897I
1.50146 − 0.64615I 6.32433 + 2.05336I
u = 0.154909 − 0.293248I
a = 3.13057 − 0.78685I
b = −1.223000 − 0.193897I
1.50146 + 0.64615I 6.32433 − 2.05336I
27
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.22510 + 1.13352I
a = −0.094713 + 0.600621I
b = −0.697858 + 1.150480I
−1.95547 − 5.70601I 0
u = −1.22510 − 1.13352I
a = −0.094713 − 0.600621I
b = −0.697858 − 1.150480I
−1.95547 + 5.70601I 0
u = 1.42759 + 0.87461I
a = 0.318932 − 0.030573I
b = −0.113207 − 0.085265I
−0.69525 + 2.93626I 0
u = 1.42759 − 0.87461I
a = 0.318932 + 0.030573I
b = −0.113207 + 0.085265I
−0.69525 − 2.93626I 0
u = 1.13183 + 1.24234I
a = −0.087033 + 0.700849I
b = 0.828910 + 0.913852I
−4.4535 + 13.8077I 0
u = 1.13183 − 1.24234I
a = −0.087033 − 0.700849I
b = 0.828910 − 0.913852I
−4.4535 − 13.8077I 0
u = −0.226510 + 0.050029I
a = −0.55415 + 3.27599I
b = 1.37918 + 0.64464I
4.41937 + 0.30153I 11.41852 + 2.48842I
u = −0.226510 − 0.050029I
a = −0.55415 − 3.27599I
b = 1.37918 − 0.64464I
4.41937 − 0.30153I 11.41852 − 2.48842I
u = −1.37570 + 1.13746I
a = 0.343201 − 0.086947I
b = 0.494532 + 0.264029I
2.94445 + 5.95495I 0
u = −1.37570 − 1.13746I
a = 0.343201 + 0.086947I
b = 0.494532 − 0.264029I
2.94445 − 5.95495I 0
28
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.86067 + 1.57235I
a = −0.189648 − 0.206082I
b = −0.706358 + 0.149717I
−0.35296 + 3.20640I 0
u = 0.86067 − 1.57235I
a = −0.189648 + 0.206082I
b = −0.706358 − 0.149717I
−0.35296 − 3.20640I 0
u = −1.37352 + 1.15204I
a = −0.245395 − 0.409533I
b = 0.735383 − 0.690609I
−3.49598 − 5.30010I 0
u = −1.37352 − 1.15204I
a = −0.245395 + 0.409533I
b = 0.735383 + 0.690609I
−3.49598 + 5.30010I 0
u = −0.80044 + 1.61028I
a = −0.329436 + 0.057168I
b = −1.020160 − 0.485867I
2.22153 + 7.08409I 0
u = −0.80044 − 1.61028I
a = −0.329436 − 0.057168I
b = −1.020160 + 0.485867I
2.22153 − 7.08409I 0
u = −0.178230 + 0.033701I
a = 1.11029 + 3.71933I
b = −1.86267 + 0.14300I
2.41267 − 7.83325I 6.48424 + 11.64262I
u = −0.178230 − 0.033701I
a = 1.11029 − 3.71933I
b = −1.86267 − 0.14300I
2.41267 + 7.83325I 6.48424 − 11.64262I
u = 1.55208 + 0.95936I
a = 0.382662 + 0.210818I
b = 0.442784 − 0.506491I
1.0870 − 14.1748I 0
u = 1.55208 − 0.95936I
a = 0.382662 − 0.210818I
b = 0.442784 + 0.506491I
1.0870 + 14.1748I 0
29
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.13684 + 1.44206I
a = −0.162391 − 0.558801I
b = −0.743611 − 0.831193I
−2.94911 + 3.94406I 0
u = 1.13684 − 1.44206I
a = −0.162391 + 0.558801I
b = −0.743611 + 0.831193I
−2.94911 − 3.94406I 0
u = 0.048068 + 0.145094I
a = 5.31887 − 4.10726I
b = −0.874388 − 0.358411I
−0.95651 − 1.30346I −3.61682 + 3.03857I
u = 0.048068 − 0.145094I
a = 5.31887 + 4.10726I
b = −0.874388 + 0.358411I
−0.95651 + 1.30346I −3.61682 − 3.03857I
u = 0.0343846 + 0.1199490I
a = −5.25746 − 7.11730I
b = 0.171978 + 0.565057I
0.31028 + 2.82362I 1.14418 − 5.12869I
u = 0.0343846 − 0.1199490I
a = −5.25746 + 7.11730I
b = 0.171978 − 0.565057I
0.31028 − 2.82362I 1.14418 + 5.12869I
u = −1.68637 + 0.90310I
a = 0.219381 − 0.211945I
b = 0.456885 + 0.477304I
−1.39813 + 5.53123I 0
u = −1.68637 − 0.90310I
a = 0.219381 + 0.211945I
b = 0.456885 − 0.477304I
−1.39813 − 5.53123I 0
u = 1.72951 + 0.89926I
a = −0.284002 − 0.200868I
b = −0.296198 + 0.267736I
3.36622 − 5.19098I 0
u = 1.72951 − 0.89926I
a = −0.284002 + 0.200868I
b = −0.296198 − 0.267736I
3.36622 + 5.19098I 0
30
II. I
u
2
= h−2.64 × 10
167
u
63
+ 8.31 × 10
167
u
62
+ · · · + 4.36 × 10
167
b + 2.47 ×
10
167
, 8.17 × 10
164
u
63
− 2.19 × 10
165
u
62
+ · · · + 1.84 × 10
164
a − 3.02 ×
10
164
, u
64
− 3u
63
+ · · · − 2u + 1i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
3
=
−4.43420u
63
+ 11.8819u
62
+ ··· − 22.6415u + 1.64053
0.605026u
63
− 1.90528u
62
+ ··· + 0.105146u − 0.565679
a
11
=
1
−u
2
a
4
=
−5.82995u
63
+ 15.6992u
62
+ ··· − 24.3393u + 0.785468
0.215076u
63
− 0.811059u
62
+ ··· − 0.550826u − 0.935566
a
2
=
−5.03923u
63
+ 13.7872u
62
+ ··· − 22.7466u + 2.20621
0.605026u
63
− 1.90528u
62
+ ··· + 0.105146u − 0.565679
a
8
=
0.896314u
63
− 2.73319u
62
+ ··· + 9.40304u + 13.5698
−0.0782911u
63
− 0.0457473u
62
+ ··· − 2.42001u − 0.479972
a
1
=
0.260828u
63
− 0.205566u
62
+ ··· − 2.59111u + 7.97569
−0.357960u
63
+ 0.881441u
62
+ ··· − 1.47920u − 0.335812
a
6
=
1.28530u
63
− 4.64254u
62
+ ··· + 5.72708u + 11.7296
0.467274u
63
− 1.86360u
62
+ ··· + 0.744040u − 1.36016
a
12
=
3.73922u
63
− 10.9612u
62
+ ··· − 11.1085u − 10.3464
1.24424u
63
− 3.71670u
62
+ ··· + 7.13559u − 0.789788
a
9
=
2.00151u
63
− 7.42097u
62
+ ··· + 6.94478u + 6.77656
0.398785u
63
− 1.77040u
62
+ ··· + 2.19885u − 1.63959
a
5
=
6.45184u
63
− 19.6318u
62
+ ··· + 72.4083u + 1.22293
0.311292u
63
− 1.31404u
62
+ ··· + 1.74953u − 0.379624
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8.11682u
63
+ 17.3408u
62
+ ··· + 6.48192u − 36.5042
31
(iv) u-Polynomials at the component
32
Crossings u-Polynomials at each crossing
c
1
u
64
− 16u
63
+ ··· + 20u + 4
c
2
u
64
+ 15u
62
+ ··· + 7u + 1
c
3
u
64
+ 15u
62
+ ··· − 7u + 1
c
4
u
64
− 2u
63
+ ··· − 5u + 1
c
5
u
64
+ 2u
63
+ ··· + 5u + 1
c
6
u
64
+ 3u
63
+ ··· + 2u + 1
c
7
u
64
+ 2u
63
+ ··· + 856u + 92
c
8
u
64
+ u
63
+ ··· + 4u + 1
c
9
u
64
+ 16u
63
+ ··· − 20u + 4
c
10
u
64
− 3u
63
+ ··· − 2u + 1
c
11
u
64
− 2u
63
+ ··· − 856u + 92
c
12
u
64
− u
63
+ ··· − 4u + 1
33
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
64
+ 2y
63
+ ··· + 112y + 16
c
2
, c
3
y
64
+ 30y
63
+ ··· + 5y + 1
c
4
, c
5
y
64
+ 4y
63
+ ··· + 27y + 1
c
6
, c
10
y
64
+ 3y
63
+ ··· + 32y + 1
c
7
, c
11
y
64
+ 14y
63
+ ··· + 53312y + 8464
c
8
, c
12
y
64
+ 5y
63
+ ··· + 68y + 1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.215314 + 0.958734I
a = −1.068630 − 0.563535I
b = 0.136762 − 0.229327I
−2.82276 + 1.30642I −5.54719 − 3.99508I
u = 0.215314 − 0.958734I
a = −1.068630 + 0.563535I
b = 0.136762 + 0.229327I
−2.82276 − 1.30642I −5.54719 + 3.99508I
u = 0.150897 + 1.024370I
a = −0.515343 − 1.086570I
b = −0.058522 − 0.703493I
−2.20927 + 2.49016I 0. − 2.14892I
u = 0.150897 − 1.024370I
a = −0.515343 + 1.086570I
b = −0.058522 + 0.703493I
−2.20927 − 2.49016I 0. + 2.14892I
u = −0.922149 + 0.258657I
a = 0.644740 − 0.061851I
b = −0.582852 + 0.878271I
−2.32521 − 5.14518I −3.40432 + 6.11990I
u = −0.922149 − 0.258657I
a = 0.644740 + 0.061851I
b = −0.582852 − 0.878271I
−2.32521 + 5.14518I −3.40432 − 6.11990I
u = 0.983087 + 0.412452I
a = −0.412160 − 0.151682I
b = −0.389330 − 0.943152I
2.90609 − 4.45425I 0. + 4.60250I
u = 0.983087 − 0.412452I
a = −0.412160 + 0.151682I
b = −0.389330 + 0.943152I
2.90609 + 4.45425I 0. − 4.60250I
u = 0.616551 + 0.687329I
a = 0.23902 + 1.94108I
b = 0.940515 + 0.783645I
2.56515 + 4.27262I 0. − 7.99934I
u = 0.616551 − 0.687329I
a = 0.23902 − 1.94108I
b = 0.940515 − 0.783645I
2.56515 − 4.27262I 0. + 7.99934I
36
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.634452 + 0.631480I
a = −0.17693 − 1.52034I
b = 0.72838 − 1.61585I
1.13459 − 5.88809I −0.32235 + 9.12464I
u = −0.634452 − 0.631480I
a = −0.17693 + 1.52034I
b = 0.72838 + 1.61585I
1.13459 + 5.88809I −0.32235 − 9.12464I
u = 0.907415 + 0.648311I
a = 0.024498 + 1.144020I
b = 0.410499 + 0.753123I
5.17873 + 4.63097I 0
u = 0.907415 − 0.648311I
a = 0.024498 − 1.144020I
b = 0.410499 − 0.753123I
5.17873 − 4.63097I 0
u = 0.310188 + 1.145870I
a = −0.732168 − 0.386103I
b = −1.302130 − 0.178661I
2.82276 + 1.30642I 0
u = 0.310188 − 1.145870I
a = −0.732168 + 0.386103I
b = −1.302130 + 0.178661I
2.82276 − 1.30642I 0
u = 1.008340 + 0.691705I
a = −0.124773 + 1.309100I
b = 1.297600 + 0.268191I
2.30418 + 4.50675I 0
u = 1.008340 − 0.691705I
a = −0.124773 − 1.309100I
b = 1.297600 − 0.268191I
2.30418 − 4.50675I 0
u = −1.217020 + 0.131844I
a = −0.005490 − 0.599709I
b = 0.289833 − 1.269700I
2.90292 − 5.42838I 0
u = −1.217020 − 0.131844I
a = −0.005490 + 0.599709I
b = 0.289833 + 1.269700I
2.90292 + 5.42838I 0
37
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.035290 + 0.691862I
a = −0.356338 − 0.751319I
b = −0.806421 + 0.252621I
2.20927 + 2.49016I 0
u = 1.035290 − 0.691862I
a = −0.356338 + 0.751319I
b = −0.806421 − 0.252621I
2.20927 − 2.49016I 0
u = 0.085750 + 0.729132I
a = −0.01526 + 1.66734I
b = −0.08934 + 2.14576I
−2.90292 + 5.42838I −5.94739 − 8.86843I
u = 0.085750 − 0.729132I
a = −0.01526 − 1.66734I
b = −0.08934 − 2.14576I
−2.90292 − 5.42838I −5.94739 + 8.86843I
u = −0.719449 + 1.053980I
a = 0.018710 − 0.873712I
b = 0.92565 − 1.24309I
−5.17873 − 4.63097I 0
u = −0.719449 − 1.053980I
a = 0.018710 + 0.873712I
b = 0.92565 + 1.24309I
−5.17873 + 4.63097I 0
u = −0.649156 + 1.105740I
a = 0.383755 − 0.130233I
b = 1.172330 + 0.384228I
1.92381 + 6.91368I 0
u = −0.649156 − 1.105740I
a = 0.383755 + 0.130233I
b = 1.172330 − 0.384228I
1.92381 − 6.91368I 0
u = 1.004460 + 0.830647I
a = −0.280602 − 0.353797I
b = −0.525340 − 0.634404I
3.61684 + 1.51034I 0
u = 1.004460 − 0.830647I
a = −0.280602 + 0.353797I
b = −0.525340 + 0.634404I
3.61684 − 1.51034I 0
38
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.921014 + 0.956827I
a = −0.038128 − 0.999273I
b = −0.88189 − 1.56572I
6.25435I 0
u = 0.921014 − 0.956827I
a = −0.038128 + 0.999273I
b = −0.88189 + 1.56572I
− 6.25435I 0
u = −0.292337 + 0.576784I
a = 1.80717 + 1.98279I
b = −0.533545 + 1.093780I
−1.99462 − 6.00349I −7.5120 + 14.1146I
u = −0.292337 − 0.576784I
a = 1.80717 − 1.98279I
b = −0.533545 − 1.093780I
−1.99462 + 6.00349I −7.5120 − 14.1146I
u = 1.072320 + 0.852856I
a = −0.075523 + 0.648958I
b = 0.49051 + 1.47980I
−1.13459 + 5.88809I 0
u = 1.072320 − 0.852856I
a = −0.075523 − 0.648958I
b = 0.49051 − 1.47980I
−1.13459 − 5.88809I 0
u = −0.578548 + 0.223802I
a = 1.53687 + 0.14743I
b = 0.107232 − 0.522246I
2.32521 + 5.14518I 3.40432 − 6.11990I
u = −0.578548 − 0.223802I
a = 1.53687 − 0.14743I
b = 0.107232 + 0.522246I
2.32521 − 5.14518I 3.40432 + 6.11990I
u = 0.961251 + 1.006880I
a = −0.046339 − 0.998926I
b = −0.968902 − 0.430381I
4.45064I 0
u = 0.961251 − 1.006880I
a = −0.046339 + 0.998926I
b = −0.968902 + 0.430381I
− 4.45064I 0
39
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.012027 + 0.588457I
a = −1.37611 − 1.73506I
b = 0.024459 − 1.215500I
−3.61684 + 1.51034I −3.97229 − 3.46471I
u = 0.012027 − 0.588457I
a = −1.37611 + 1.73506I
b = 0.024459 + 1.215500I
−3.61684 − 1.51034I −3.97229 + 3.46471I
u = 0.011397 + 0.560658I
a = −2.69691 − 0.88775I
b = 0.092178 − 0.484133I
−3.14925 + 1.27234I −11.24654 − 0.93768I
u = 0.011397 − 0.560658I
a = −2.69691 + 0.88775I
b = 0.092178 + 0.484133I
−3.14925 − 1.27234I −11.24654 + 0.93768I
u = −0.105112 + 0.508876I
a = 2.33671 + 0.79300I
b = −0.677879 + 0.062339I
−1.92381 − 6.91368I 3.10763 + 2.65829I
u = −0.105112 − 0.508876I
a = 2.33671 − 0.79300I
b = −0.677879 − 0.062339I
−1.92381 + 6.91368I 3.10763 − 2.65829I
u = 0.515354 + 0.044814I
a = 0.984990 − 0.172612I
b = −0.13380 + 1.89583I
− 12.4816I 0. + 11.51775I
u = 0.515354 − 0.044814I
a = 0.984990 + 0.172612I
b = −0.13380 − 1.89583I
12.4816I 0. − 11.51775I
u = −0.342627 + 0.319113I
a = −2.13684 − 0.78639I
b = 0.59454 − 1.39818I
−2.90609 − 4.45425I −4.07414 + 4.60250I
u = −0.342627 − 0.319113I
a = −2.13684 + 0.78639I
b = 0.59454 + 1.39818I
−2.90609 + 4.45425I −4.07414 − 4.60250I
40
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.95604 + 1.20297I
a = −0.225789 + 0.974176I
b = −1.18058 + 0.98751I
− 14.1328I 0
u = −0.95604 − 1.20297I
a = −0.225789 − 0.974176I
b = −1.18058 − 0.98751I
14.1328I 0
u = 0.46699 + 1.52216I
a = −0.334544 − 0.110123I
b = −0.950912 − 0.239659I
3.14925 + 1.27234I 0
u = 0.46699 − 1.52216I
a = −0.334544 + 0.110123I
b = −0.950912 + 0.239659I
3.14925 − 1.27234I 0
u = −1.03133 + 1.23371I
a = −0.072152 − 0.757006I
b = 0.595686 − 0.798814I
−2.30418 − 4.50675I 0
u = −1.03133 − 1.23371I
a = −0.072152 + 0.757006I
b = 0.595686 + 0.798814I
−2.30418 + 4.50675I 0
u = 0.100719 + 0.271199I
a = 6.26923 − 2.93942I
b = −0.360362 − 0.466023I
0.31152 − 2.86377I −10.57565 − 7.33390I
u = 0.100719 − 0.271199I
a = 6.26923 + 2.93942I
b = −0.360362 + 0.466023I
0.31152 + 2.86377I −10.57565 + 7.33390I
u = −1.67195 + 0.46270I
a = 0.251089 − 0.275490I
b = 0.311651 + 0.005833I
1.99462 + 6.00349I 0
u = −1.67195 − 0.46270I
a = 0.251089 + 0.275490I
b = 0.311651 − 0.005833I
1.99462 − 6.00349I 0
41
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18679 + 1.36106I
a = 0.062491 − 0.507483I
b = 0.726698 − 0.807092I
−2.56515 − 4.27262I 0
u = −1.18679 − 1.36106I
a = 0.062491 + 0.507483I
b = 0.726698 + 0.807092I
−2.56515 + 4.27262I 0
u = 1.42860 + 1.40415I
a = 0.130763 + 0.061310I
b = 0.597280 − 0.062836I
−0.31152 + 2.86377I 0
u = 1.42860 − 1.40415I
a = 0.130763 − 0.061310I
b = 0.597280 + 0.062836I
−0.31152 − 2.86377I 0
42
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
64
− 16u
63
+ ··· + 20u + 4)(u
240
+ 11u
239
+ ··· − 149360u + 19984)
c
2
(u
64
+ 15u
62
+ ··· + 7u + 1)(u
240
+ u
239
+ ··· + 81u + 1)
c
3
(u
64
+ 15u
62
+ ··· − 7u + 1)(u
240
− u
239
+ ··· − 81u + 1)
c
4
(u
64
− 2u
63
+ ··· − 5u + 1)(u
240
+ 3u
239
+ ··· + 2694745u + 109393)
c
5
(u
64
+ 2u
63
+ ··· + 5u + 1)(u
240
− 3u
239
+ ··· − 2694745u + 109393)
c
6
(u
64
+ 3u
63
+ ··· + 2u + 1)(u
240
+ 6u
239
+ ··· − 10u + 1)
c
7
(u
64
+ 2u
63
+ ··· + 856u + 92)
· (u
240
+ u
239
+ ··· + 412134229504u + 89704305664)
c
8
(u
64
+ u
63
+ ··· + 4u + 1)(u
240
+ 17u
238
+ ··· − 455354u + 53269)
c
9
(u
64
+ 16u
63
+ ··· − 20u + 4)(u
240
− 11u
239
+ ··· + 149360u + 19984)
c
10
(u
64
− 3u
63
+ ··· − 2u + 1)(u
240
− 6u
239
+ ··· + 10u + 1)
c
11
(u
64
− 2u
63
+ ··· − 856u + 92)
· (u
240
− u
239
+ ··· − 412134229504u + 89704305664)
c
12
(u
64
− u
63
+ ··· − 4u + 1)(u
240
+ 17u
238
+ ··· + 455354u + 53269)
43
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
9
(y
64
+ 2y
63
+ ··· + 112y + 16)
· (y
240
+ 19y
239
+ ··· + 58000092160y + 399360256)
c
2
, c
3
(y
64
+ 30y
63
+ ··· + 5y + 1)(y
240
+ 31y
239
+ ··· − 443y + 1)
c
4
, c
5
(y
64
+ 4y
63
+ ··· + 27y + 1)
· (y
240
− 31y
239
+ ··· − 2123917792621y + 11966828449)
c
6
, c
10
(y
64
+ 3y
63
+ ··· + 32y + 1)(y
240
+ 24y
239
+ ··· + 176y + 1)
c
7
, c
11
(y
64
+ 14y
63
+ ··· + 53312y + 8464)
· (y
240
+ 79y
239
+ ··· − 5.06 × 10
23
y + 8.05 × 10
21
)
c
8
, c
12
(y
64
+ 5y
63
+ ··· + 68y + 1)
· (y
240
+ 34y
239
+ ··· + 461228757544y + 2837586361)
44
