12a
0902
(K12a
0902
)
A knot diagram
1
Linearized knot diagam
4 6 8 10 3 11 2 1 12 7 5 9
Solving Sequence
6,11 3,7
2 8 5 12 10 4 1 9
c
6
c
2
c
7
c
5
c
11
c
10
c
4
c
1
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.28807 × 10
579
u
141
− 6.43625 × 10
579
u
140
+ ··· + 1.05243 × 10
581
b − 1.13630 × 10
583
,
− 5.53214 × 10
582
u
141
− 3.86140 × 10
582
u
140
+ ··· + 2.97837 × 10
583
a + 3.74063 × 10
585
,
u
142
+ u
141
+ ··· − 433u + 566i
I
u
2
= h−2.57367 × 10
19
u
35
+ 4.86277 × 10
19
u
34
+ ··· + 2.01550 × 10
18
b − 8.20022 × 10
17
,
6.09631 × 10
19
u
35
− 1.33362 × 10
20
u
34
+ ··· + 2.01550 × 10
18
a + 1.44484 × 10
18
, u
36
− 2u
35
+ ··· + 14u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 178 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
= h2.29 × 10
579
u
141
− 6.44 × 10
579
u
140
+ · · · + 1.05 × 10
581
b − 1.14 ×
10
583
, −5.53 × 10
582
u
141
− 3.86 × 10
582
u
140
+ · · · + 2.98 × 10
583
a + 3.74 ×
10
585
, u
142
+ u
141
+ · · · − 433u + 566i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
0.185744u
141
+ 0.129648u
140
+ ··· + 322.302u − 125.593
−0.0217409u
141
+ 0.0611562u
140
+ ··· − 118.415u + 107.969
a
7
=
1
−u
2
a
2
=
0.164003u
141
+ 0.190804u
140
+ ··· + 203.887u − 17.6243
−0.0217409u
141
+ 0.0611562u
140
+ ··· − 118.415u + 107.969
a
8
=
0.309742u
141
+ 0.350704u
140
+ ··· + 493.397u − 53.3774
−0.0719401u
141
− 0.0810056u
140
+ ··· − 131.013u + 13.3389
a
5
=
−0.121598u
141
− 0.0533193u
140
+ ··· − 327.614u + 128.023
0.0891752u
141
+ 0.159360u
140
+ ··· + 52.7069u + 65.0312
a
12
=
0.293005u
141
+ 0.169552u
140
+ ··· + 378.798u − 149.784
−0.0739083u
141
− 0.0139821u
140
+ ··· − 108.232u + 84.0302
a
10
=
−u
u
3
+ u
a
4
=
−0.106030u
141
+ 0.0168797u
140
+ ··· − 381.916u + 195.461
0.0887523u
141
+ 0.131058u
140
+ ··· + 92.1652u + 28.5140
a
1
=
0.0525750u
141
− 0.0742782u
140
+ ··· + 367.180u − 194.571
0.0505938u
141
+ 0.117664u
140
+ ··· − 22.8007u + 72.9937
a
9
=
−0.470709u
141
− 0.618514u
140
+ ··· − 641.784u − 141.596
0.0411816u
141
+ 0.125305u
140
+ ··· + 9.96569u + 101.141
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.326552u
141
− 0.235065u
140
+ ··· − 376.096u + 126.428
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
142
− 11u
141
+ ··· + 60356u + 9829
c
2
, c
5
u
142
+ 10u
141
+ ··· − 30698u + 7239
c
3
u
142
− u
141
+ ··· − 5976125u + 475354
c
4
u
142
− u
141
+ ··· + 2114842u + 213833
c
6
, c
10
u
142
+ u
141
+ ··· − 433u + 566
c
7
u
142
− u
141
+ ··· − 1090932u + 74313
c
8
, c
9
, c
12
u
142
+ 3u
141
+ ··· + 11u + 3
c
11
u
142
+ u
141
+ ··· + 31729814u + 9330071
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
142
− 33y
141
+ ··· − 4656904666y + 96609241
c
2
, c
5
y
142
+ 72y
141
+ ··· + 1964047862y + 52403121
c
3
y
142
− 37y
141
+ ··· − 14479019050013y + 225961425316
c
4
y
142
+ 41y
141
+ ··· + 1108048823382y + 45724551889
c
6
, c
10
y
142
+ 75y
141
+ ··· + 11660023y + 320356
c
7
y
142
+ 27y
141
+ ··· + 321386954580y + 5522421969
c
8
, c
9
, c
12
y
142
+ 147y
141
+ ··· + 239y + 9
c
11
y
142
+ 45y
141
+ ··· + 2490029141421586y + 87050224865041
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.478669 + 0.856250I
a = 1.33220 − 0.64590I
b = 0.383497 + 1.146310I
3.46210 + 0.57689I 0
u = −0.478669 − 0.856250I
a = 1.33220 + 0.64590I
b = 0.383497 − 1.146310I
3.46210 − 0.57689I 0
u = −0.276069 + 0.983520I
a = −0.223608 + 0.516278I
b = −1.254720 + 0.327774I
−4.00562 − 0.90784I 0
u = −0.276069 − 0.983520I
a = −0.223608 − 0.516278I
b = −1.254720 − 0.327774I
−4.00562 + 0.90784I 0
u = 0.587967 + 0.847989I
a = 1.20752 + 0.85788I
b = 0.514239 − 0.957313I
2.57766 + 3.35143I 0
u = 0.587967 − 0.847989I
a = 1.20752 − 0.85788I
b = 0.514239 + 0.957313I
2.57766 − 3.35143I 0
u = 0.420975 + 0.862842I
a = 1.37063 + 0.46303I
b = 0.254616 − 1.311030I
−2.54002 − 3.38817I 0
u = 0.420975 − 0.862842I
a = 1.37063 − 0.46303I
b = 0.254616 + 1.311030I
−2.54002 + 3.38817I 0
u = 0.168952 + 1.026210I
a = −0.356726 + 0.070450I
b = −1.280580 − 0.362676I
−4.05586 + 0.44867I 0
u = 0.168952 − 1.026210I
a = −0.356726 − 0.070450I
b = −1.280580 + 0.362676I
−4.05586 − 0.44867I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.305624 + 0.994112I
a = −0.039538 − 0.797063I
b = −1.47194 − 0.29326I
−10.36690 + 0.94731I 0
u = 0.305624 − 0.994112I
a = −0.039538 + 0.797063I
b = −1.47194 + 0.29326I
−10.36690 − 0.94731I 0
u = 0.328331 + 1.000760I
a = 0.509886 − 0.205943I
b = −0.978942 − 0.877373I
−8.45607 − 1.93135I 0
u = 0.328331 − 1.000760I
a = 0.509886 + 0.205943I
b = −0.978942 + 0.877373I
−8.45607 + 1.93135I 0
u = −0.968840 + 0.437352I
a = −0.244962 + 0.682190I
b = 0.544550 − 0.862963I
−5.46124 − 1.69208I 0
u = −0.968840 − 0.437352I
a = −0.244962 − 0.682190I
b = 0.544550 + 0.862963I
−5.46124 + 1.69208I 0
u = −0.107346 + 1.063880I
a = −0.273242 − 0.295384I
b = −1.50566 + 0.37213I
−10.44900 − 0.12490I 0
u = −0.107346 − 1.063880I
a = −0.273242 + 0.295384I
b = −1.50566 − 0.37213I
−10.44900 + 0.12490I 0
u = −1.075090 + 0.049904I
a = 0.39394 + 1.52869I
b = −0.171883 − 1.212840I
0.09215 − 2.97768I 0
u = −1.075090 − 0.049904I
a = 0.39394 − 1.52869I
b = −0.171883 + 1.212840I
0.09215 + 2.97768I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.834850 + 0.360564I
a = 0.67808 + 1.42823I
b = −0.352030 − 1.133540I
−2.50415 − 3.84106I 0
u = −0.834850 − 0.360564I
a = 0.67808 − 1.42823I
b = −0.352030 + 1.133540I
−2.50415 + 3.84106I 0
u = 0.532925 + 0.954910I
a = −0.54452 − 1.54775I
b = −0.964111 + 0.691845I
−8.87435 + 4.97515I 0
u = 0.532925 − 0.954910I
a = −0.54452 + 1.54775I
b = −0.964111 − 0.691845I
−8.87435 − 4.97515I 0
u = −0.343797 + 1.058840I
a = 0.274425 − 0.063970I
b = −0.774550 + 0.537885I
−2.27256 + 0.30412I 0
u = −0.343797 − 1.058840I
a = 0.274425 + 0.063970I
b = −0.774550 − 0.537885I
−2.27256 − 0.30412I 0
u = −0.718421 + 0.515010I
a = 1.11405 − 1.55879I
b = 0.753041 + 0.772121I
−5.89549 − 6.63684I 0
u = −0.718421 − 0.515010I
a = 1.11405 + 1.55879I
b = 0.753041 − 0.772121I
−5.89549 + 6.63684I 0
u = −0.908635 + 0.651617I
a = −0.20098 + 1.66515I
b = −0.200393 − 0.692894I
−1.00289 − 4.26111I 0
u = −0.908635 − 0.651617I
a = −0.20098 − 1.66515I
b = −0.200393 + 0.692894I
−1.00289 + 4.26111I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.588083 + 0.649256I
a = −0.026913 − 0.970820I
b = 0.196803 + 1.199740I
3.16495 + 1.28532I 0
u = 0.588083 − 0.649256I
a = −0.026913 + 0.970820I
b = 0.196803 − 1.199740I
3.16495 − 1.28532I 0
u = 0.437260 + 1.051100I
a = −1.75375 − 0.97756I
b = −0.402824 + 1.320210I
−2.92869 + 8.77702I 0
u = 0.437260 − 1.051100I
a = −1.75375 + 0.97756I
b = −0.402824 − 1.320210I
−2.92869 − 8.77702I 0
u = 0.003428 + 0.860712I
a = −1.09628 − 0.92751I
b = −0.88457 + 1.13243I
−7.57932 + 3.21423I 0
u = 0.003428 − 0.860712I
a = −1.09628 + 0.92751I
b = −0.88457 − 1.13243I
−7.57932 − 3.21423I 0
u = −0.358491 + 1.089620I
a = −1.61364 + 0.32071I
b = −0.402768 − 1.118320I
1.82183 − 6.06054I 0
u = −0.358491 − 1.089620I
a = −1.61364 − 0.32071I
b = −0.402768 + 1.118320I
1.82183 + 6.06054I 0
u = 1.143980 + 0.138090I
a = 0.46738 + 1.42871I
b = 0.452265 − 0.680884I
1.57594 + 1.20217I 0
u = 1.143980 − 0.138090I
a = 0.46738 − 1.42871I
b = 0.452265 + 0.680884I
1.57594 − 1.20217I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271997 + 1.128510I
a = −1.244120 + 0.524267I
b = −0.342755 + 0.875789I
−0.94220 + 2.37666I 0
u = 0.271997 − 1.128510I
a = −1.244120 − 0.524267I
b = −0.342755 − 0.875789I
−0.94220 − 2.37666I 0
u = 0.292494 + 0.785928I
a = −0.509142 − 1.181730I
b = −0.03316 + 1.72308I
−2.10987 + 6.56452I 0
u = 0.292494 − 0.785928I
a = −0.509142 + 1.181730I
b = −0.03316 − 1.72308I
−2.10987 − 6.56452I 0
u = 0.289860 + 1.155650I
a = −0.067496 + 0.212863I
b = −0.740555 + 0.018184I
−2.68159 + 2.57576I 0
u = 0.289860 − 1.155650I
a = −0.067496 − 0.212863I
b = −0.740555 − 0.018184I
−2.68159 − 2.57576I 0
u = −0.384045 + 1.134370I
a = 0.98934 − 1.94180I
b = 0.426980 + 1.102130I
−9.63220 − 9.37220I 0
u = −0.384045 − 1.134370I
a = 0.98934 + 1.94180I
b = 0.426980 − 1.102130I
−9.63220 + 9.37220I 0
u = 0.590506 + 1.044010I
a = 1.252460 + 0.627862I
b = 0.010668 − 0.799440I
0.87521 + 2.04600I 0
u = 0.590506 − 1.044010I
a = 1.252460 − 0.627862I
b = 0.010668 + 0.799440I
0.87521 − 2.04600I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368091 + 0.707655I
a = −0.315007 + 1.177230I
b = 0.05498 − 1.51104I
4.01740 − 4.28704I 0
u = −0.368091 − 0.707655I
a = −0.315007 − 1.177230I
b = 0.05498 + 1.51104I
4.01740 + 4.28704I 0
u = −0.637298 + 1.022940I
a = 1.38467 − 0.52036I
b = −0.164880 + 0.719875I
−4.34036 − 1.57855I 0
u = −0.637298 − 1.022940I
a = 1.38467 + 0.52036I
b = −0.164880 − 0.719875I
−4.34036 + 1.57855I 0
u = −0.559655 + 0.560349I
a = 0.824163 + 0.312751I
b = −0.070009 − 0.359810I
−4.46226 − 2.06361I 0
u = −0.559655 − 0.560349I
a = 0.824163 − 0.312751I
b = −0.070009 + 0.359810I
−4.46226 + 2.06361I 0
u = 0.673809 + 0.410469I
a = 1.13725 + 1.56194I
b = −0.566301 − 1.174990I
−4.78229 − 3.89551I 0
u = 0.673809 − 0.410469I
a = 1.13725 − 1.56194I
b = −0.566301 + 1.174990I
−4.78229 + 3.89551I 0
u = −0.720671 + 0.320211I
a = 0.76744 − 1.53883I
b = −0.377558 + 1.169930I
1.63882 + 2.84244I 0
u = −0.720671 − 0.320211I
a = 0.76744 + 1.53883I
b = −0.377558 − 1.169930I
1.63882 − 2.84244I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.038408 + 0.781028I
a = −1.97752 + 0.88211I
b = −0.523972 − 0.860480I
−0.661106 − 1.168450I 0
u = 0.038408 − 0.781028I
a = −1.97752 − 0.88211I
b = −0.523972 + 0.860480I
−0.661106 + 1.168450I 0
u = 0.552073 + 1.085980I
a = −1.00678 − 1.61348I
b = −0.77923 + 1.38683I
−6.77196 + 8.65975I 0
u = 0.552073 − 1.085980I
a = −1.00678 + 1.61348I
b = −0.77923 − 1.38683I
−6.77196 − 8.65975I 0
u = 1.176740 + 0.317476I
a = −0.421676 − 1.297270I
b = 0.557082 + 1.188040I
−4.38743 − 12.66050I 0
u = 1.176740 − 0.317476I
a = −0.421676 + 1.297270I
b = 0.557082 − 1.188040I
−4.38743 + 12.66050I 0
u = 0.746465 + 0.229567I
a = 0.49746 − 1.46801I
b = −0.255192 + 1.180850I
3.01026 + 2.97423I 0
u = 0.746465 − 0.229567I
a = 0.49746 + 1.46801I
b = −0.255192 − 1.180850I
3.01026 − 2.97423I 0
u = −0.235899 + 1.198680I
a = −0.157627 − 0.037888I
b = −1.107410 − 0.397698I
−9.58024 − 3.78253I 0
u = −0.235899 − 1.198680I
a = −0.157627 + 0.037888I
b = −1.107410 + 0.397698I
−9.58024 + 3.78253I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.366840 + 1.176800I
a = 1.06025 + 1.61211I
b = 0.396687 − 1.017200I
−3.12654 + 5.12017I 0
u = 0.366840 − 1.176800I
a = 1.06025 − 1.61211I
b = 0.396687 + 1.017200I
−3.12654 − 5.12017I 0
u = −1.194370 + 0.342101I
a = −0.300599 + 1.256420I
b = 0.498541 − 1.134710I
2.67057 + 8.51304I 0
u = −1.194370 − 0.342101I
a = −0.300599 − 1.256420I
b = 0.498541 + 1.134710I
2.67057 − 8.51304I 0
u = −0.543589 + 1.118370I
a = −0.98588 + 1.35723I
b = −0.67365 − 1.31528I
−0.69245 − 7.64949I 0
u = −0.543589 − 1.118370I
a = −0.98588 − 1.35723I
b = −0.67365 + 1.31528I
−0.69245 + 7.64949I 0
u = 1.179090 + 0.417228I
a = 0.442552 + 1.230250I
b = −0.192615 − 1.032570I
3.66469 − 0.46871I 0
u = 1.179090 − 0.417228I
a = 0.442552 − 1.230250I
b = −0.192615 + 1.032570I
3.66469 + 0.46871I 0
u = −0.730932 + 0.103327I
a = 0.073008 − 1.332990I
b = 0.633370 + 0.148350I
−0.03095 + 4.13089I 0. − 5.99292I
u = −0.730932 − 0.103327I
a = 0.073008 + 1.332990I
b = 0.633370 − 0.148350I
−0.03095 − 4.13089I 0. + 5.99292I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560920 + 1.134940I
a = 1.20787 − 0.83755I
b = 0.093775 + 0.989121I
−3.07228 − 2.47279I 0
u = −0.560920 − 1.134940I
a = 1.20787 + 0.83755I
b = 0.093775 − 0.989121I
−3.07228 + 2.47279I 0
u = −0.392275 + 1.207670I
a = 0.74877 − 1.35824I
b = 0.433329 + 0.906999I
−3.80153 + 0.03349I 0
u = −0.392275 − 1.207670I
a = 0.74877 + 1.35824I
b = 0.433329 − 0.906999I
−3.80153 − 0.03349I 0
u = 0.723036 + 0.096967I
a = −0.30442 + 1.62170I
b = 0.819101 − 0.184753I
−7.29798 − 7.55573I 0. + 4.12954I
u = 0.723036 − 0.096967I
a = −0.30442 − 1.62170I
b = 0.819101 + 0.184753I
−7.29798 + 7.55573I 0. − 4.12954I
u = −0.497006 + 1.183730I
a = 0.047052 − 0.146499I
b = 1.115480 − 0.371088I
−3.12697 − 8.74193I 0
u = −0.497006 − 1.183730I
a = 0.047052 + 0.146499I
b = 1.115480 + 0.371088I
−3.12697 + 8.74193I 0
u = −0.796008 + 1.007520I
a = −0.45975 + 1.45851I
b = −0.469655 − 0.944239I
−1.18802 − 4.51356I 0
u = −0.796008 − 1.007520I
a = −0.45975 − 1.45851I
b = −0.469655 + 0.944239I
−1.18802 + 4.51356I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.498316 + 1.183950I
a = −0.077756 + 0.190020I
b = 1.283590 + 0.400393I
−10.3885 + 12.1530I 0
u = 0.498316 − 1.183950I
a = −0.077756 − 0.190020I
b = 1.283590 − 0.400393I
−10.3885 − 12.1530I 0
u = 0.418341 + 1.218000I
a = 0.47858 + 1.44988I
b = 0.546794 − 0.867528I
−10.96760 − 3.41269I 0
u = 0.418341 − 1.218000I
a = 0.47858 − 1.44988I
b = 0.546794 + 0.867528I
−10.96760 + 3.41269I 0
u = 0.082762 + 0.703328I
a = −0.67464 + 2.62267I
b = −0.200798 − 1.261050I
0.956664 − 0.580311I 0. − 2.89788I
u = 0.082762 − 0.703328I
a = −0.67464 − 2.62267I
b = −0.200798 + 1.261050I
0.956664 + 0.580311I 0. + 2.89788I
u = 0.479748 + 1.204300I
a = 0.195027 − 0.015270I
b = 0.862704 + 0.457878I
−2.22245 + 3.81114I 0
u = 0.479748 − 1.204300I
a = 0.195027 + 0.015270I
b = 0.862704 − 0.457878I
−2.22245 − 3.81114I 0
u = 1.230250 + 0.420710I
a = −0.129021 − 1.118690I
b = 0.463713 + 1.020690I
2.79525 − 2.59011I 0
u = 1.230250 − 0.420710I
a = −0.129021 + 1.118690I
b = 0.463713 − 1.020690I
2.79525 + 2.59011I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.458649 + 1.235680I
a = −0.751853 − 0.855465I
b = −0.68547 + 1.26825I
−1.03216 + 7.23401I 0
u = 0.458649 − 1.235680I
a = −0.751853 + 0.855465I
b = −0.68547 − 1.26825I
−1.03216 − 7.23401I 0
u = 0.435732 + 0.515732I
a = 0.62172 + 2.33397I
b = −0.26401 − 1.44804I
−1.25428 − 5.04052I 5.07314 + 1.23203I
u = 0.435732 − 0.515732I
a = 0.62172 − 2.33397I
b = −0.26401 + 1.44804I
−1.25428 + 5.04052I 5.07314 − 1.23203I
u = −0.024109 + 0.653679I
a = −3.49839 − 0.19298I
b = −0.186448 + 0.576874I
−0.32550 − 3.13895I −0.060041 + 0.501749I
u = −0.024109 − 0.653679I
a = −3.49839 + 0.19298I
b = −0.186448 − 0.576874I
−0.32550 + 3.13895I −0.060041 − 0.501749I
u = −0.597257 + 1.219750I
a = 0.051084 + 0.333777I
b = 0.809683 − 0.828704I
−8.08943 + 1.16458I 0
u = −0.597257 − 1.219750I
a = 0.051084 − 0.333777I
b = 0.809683 + 0.828704I
−8.08943 − 1.16458I 0
u = −0.410230 + 1.301090I
a = −0.510227 + 0.764524I
b = −0.82765 − 1.30593I
−7.40791 − 7.97201I 0
u = −0.410230 − 1.301090I
a = −0.510227 − 0.764524I
b = −0.82765 + 1.30593I
−7.40791 + 7.97201I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.548892 + 0.167026I
a = 0.742819 + 0.391067I
b = 0.252418 + 0.111531I
1.098270 + 0.281063I 8.19845 − 0.19463I
u = 0.548892 − 0.167026I
a = 0.742819 − 0.391067I
b = 0.252418 − 0.111531I
1.098270 − 0.281063I 8.19845 + 0.19463I
u = 0.70327 + 1.24166I
a = −0.551424 − 1.246770I
b = −0.487941 + 1.232670I
0.96366 + 7.11785I 0
u = 0.70327 − 1.24166I
a = −0.551424 + 1.246770I
b = −0.487941 − 1.232670I
0.96366 − 7.11785I 0
u = −0.75004 + 1.22284I
a = 0.721701 − 1.044890I
b = 0.729375 + 0.950419I
−7.67992 − 4.65633I 0
u = −0.75004 − 1.22284I
a = 0.721701 + 1.044890I
b = 0.729375 − 0.950419I
−7.67992 + 4.65633I 0
u = 0.16285 + 1.44238I
a = 0.210070 + 0.138192I
b = 0.349364 + 0.626310I
−4.44830 + 1.80657I 0
u = 0.16285 − 1.44238I
a = 0.210070 − 0.138192I
b = 0.349364 − 0.626310I
−4.44830 − 1.80657I 0
u = 0.68030 + 1.28462I
a = 0.80183 + 1.29340I
b = 0.73667 − 1.30126I
−7.4568 + 19.2134I 0
u = 0.68030 − 1.28462I
a = 0.80183 − 1.29340I
b = 0.73667 + 1.30126I
−7.4568 − 19.2134I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.232624 + 0.493610I
a = 0.19216 − 2.26658I
b = −0.209908 + 1.361050I
3.82881 + 3.11867I 9.87010 + 4.90577I
u = −0.232624 − 0.493610I
a = 0.19216 + 2.26658I
b = −0.209908 − 1.361050I
3.82881 − 3.11867I 9.87010 − 4.90577I
u = −0.25270 + 1.43453I
a = −0.046030 − 0.307545I
b = 0.426363 − 0.498336I
−11.59990 − 5.71729I 0
u = −0.25270 − 1.43453I
a = −0.046030 + 0.307545I
b = 0.426363 + 0.498336I
−11.59990 + 5.71729I 0
u = −0.067851 + 0.538906I
a = −4.84135 + 0.50318I
b = 0.118425 − 0.506906I
−7.09986 + 6.70126I −0.04550 + 1.57834I
u = −0.067851 − 0.538906I
a = −4.84135 − 0.50318I
b = 0.118425 + 0.506906I
−7.09986 − 6.70126I −0.04550 − 1.57834I
u = −0.68521 + 1.28867I
a = 0.82550 − 1.23548I
b = 0.68519 + 1.24298I
−0.3743 − 15.1451I 0
u = −0.68521 − 1.28867I
a = 0.82550 + 1.23548I
b = 0.68519 − 1.24298I
−0.3743 + 15.1451I 0
u = 0.70273 + 1.29929I
a = 0.823221 + 1.147060I
b = 0.647600 − 1.138780I
−0.14927 + 9.44771I 0
u = 0.70273 − 1.29929I
a = 0.823221 − 1.147060I
b = 0.647600 + 1.138780I
−0.14927 − 9.44771I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63157 + 1.35510I
a = −0.524328 + 1.140050I
b = −0.48541 − 1.38965I
−4.12698 − 9.13619I 0
u = −0.63157 − 1.35510I
a = −0.524328 − 1.140050I
b = −0.48541 + 1.38965I
−4.12698 + 9.13619I 0
u = 0.452608 + 0.213292I
a = 1.69199 + 0.39852I
b = −0.845004 − 0.343047I
−7.29237 − 1.24023I −3.76862 + 1.01628I
u = 0.452608 − 0.213292I
a = 1.69199 − 0.39852I
b = −0.845004 + 0.343047I
−7.29237 + 1.24023I −3.76862 − 1.01628I
u = −1.25890 + 0.87511I
a = 0.373514 − 1.010990I
b = −0.149001 + 0.925549I
−0.56233 − 2.85442I 0
u = −1.25890 − 0.87511I
a = 0.373514 + 1.010990I
b = −0.149001 − 0.925549I
−0.56233 + 2.85442I 0
u = −0.11145 + 1.53426I
a = 0.101173 + 0.171180I
b = 0.372465 − 0.710380I
−4.49502 + 3.56428I 0
u = −0.11145 − 1.53426I
a = 0.101173 − 0.171180I
b = 0.372465 + 0.710380I
−4.49502 − 3.56428I 0
u = 0.15662 + 1.61789I
a = −0.076669 − 0.232889I
b = 0.417265 + 0.774497I
−11.35590 − 7.40823I 0
u = 0.15662 − 1.61789I
a = −0.076669 + 0.232889I
b = 0.417265 − 0.774497I
−11.35590 + 7.40823I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.216999 + 0.249777I
a = 1.388530 − 0.202847I
b = −0.557069 + 0.200280I
−1.226190 + 0.619054I −4.72694 − 1.24239I
u = −0.216999 − 0.249777I
a = 1.388530 + 0.202847I
b = −0.557069 − 0.200280I
−1.226190 − 0.619054I −4.72694 + 1.24239I
19
II. I
u
2
= h−2.57 × 10
19
u
35
+ 4.86 × 10
19
u
34
+ · · · + 2.02 × 10
18
b − 8.20 ×
10
17
, 6.10 × 10
19
u
35
− 1.33 × 10
20
u
34
+ · · · + 2.02 × 10
18
a + 1.44 ×
10
18
, u
36
− 2u
35
+ · · · + 14u
2
+ 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−30.2472u
35
+ 66.1684u
34
+ ··· − 77.5726u − 0.716865
12.7694u
35
− 24.1269u
34
+ ··· + 36.7399u + 0.406859
a
7
=
1
−u
2
a
2
=
−17.4778u
35
+ 42.0416u
34
+ ··· − 40.8327u − 0.310006
12.7694u
35
− 24.1269u
34
+ ··· + 36.7399u + 0.406859
a
8
=
37.1444u
35
− 89.8110u
34
+ ··· + 114.211u − 14.3262
−12.7055u
35
+ 28.5405u
34
+ ··· − 35.9503u + 2.20666
a
5
=
−18.6345u
35
+ 35.2322u
34
+ ··· − 55.3744u − 3.44365
9.84723u
35
− 24.2438u
34
+ ··· + 27.1631u − 8.79275
a
12
=
2.18350u
35
− 14.3137u
34
+ ··· + 19.5885u − 34.2760
2.69195u
35
+ 1.32869u
34
+ ··· + 16.9912u + 37.1156
a
10
=
−u
u
3
+ u
a
4
=
−20.2791u
35
+ 37.3207u
34
+ ··· − 58.2966u − 9.40486
10.7024u
35
− 24.0662u
34
+ ··· + 28.4407u − 4.03212
a
1
=
−30.6945u
35
+ 78.3639u
34
+ ··· − 126.465u + 37.7422
13.0033u
35
− 30.3304u
34
+ ··· + 25.8852u − 6.93072
a
9
=
1.85536u
35
− 25.4658u
34
+ ··· + 9.94827u − 61.6082
2.80326u
35
+ 5.33318u
34
+ ··· + 20.0054u + 8.97209
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
35973025950083734218
2015496361627731553
u
35
+
94035164920635520509
2015496361627731553
u
34
+ ··· −
311102618662251135084
2015496361627731553
u +
194844079216638223094
2015496361627731553
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
36
− 4u
35
+ ··· − 7u + 1
c
2
u
36
− 13u
35
+ ··· − 7u + 1
c
3
u
36
− 5u
34
+ ··· − u + 5
c
4
u
36
+ 8u
34
+ ··· − 3u + 1
c
5
u
36
+ 13u
35
+ ··· + 7u + 1
c
6
u
36
− 2u
35
+ ··· + 14u
2
+ 1
c
7
u
36
+ 2u
35
+ ··· − 51u + 19
c
8
, c
9
u
36
+ 4u
35
+ ··· + 3u
2
+ 1
c
10
u
36
+ 2u
35
+ ··· + 14u
2
+ 1
c
11
u
36
+ 4u
34
+ ··· + 17u + 19
c
12
u
36
− 4u
35
+ ··· + 3u
2
+ 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
− 14y
35
+ ··· − 11y + 1
c
2
, c
5
y
36
+ 19y
35
+ ··· + 33y + 1
c
3
y
36
− 10y
35
+ ··· − 161y + 25
c
4
y
36
+ 16y
35
+ ··· − 11y + 1
c
6
, c
10
y
36
+ 18y
35
+ ··· + 28y + 1
c
7
y
36
+ 10y
35
+ ··· + 2035y + 361
c
8
, c
9
, c
12
y
36
+ 38y
35
+ ··· + 6y + 1
c
11
y
36
+ 8y
35
+ ··· + 2029y + 361
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.228706 + 0.974281I
a = −0.308166 + 0.288171I
b = −1.268950 + 0.258688I
−3.62992 − 0.89196I 5.74509 + 6.13726I
u = −0.228706 − 0.974281I
a = −0.308166 − 0.288171I
b = −1.268950 − 0.258688I
−3.62992 + 0.89196I 5.74509 − 6.13726I
u = −0.988092 + 0.212080I
a = 0.211876 − 1.178230I
b = −0.323412 + 1.091440I
3.08966 + 1.78788I 6.07790 − 0.28630I
u = −0.988092 − 0.212080I
a = 0.211876 + 1.178230I
b = −0.323412 − 1.091440I
3.08966 − 1.78788I 6.07790 + 0.28630I
u = 0.269227 + 0.940966I
a = −0.230455 − 0.526025I
b = −1.58746 − 0.21260I
−9.74356 + 1.10597I 0.08806 − 6.10068I
u = 0.269227 − 0.940966I
a = −0.230455 + 0.526025I
b = −1.58746 + 0.21260I
−9.74356 − 1.10597I 0.08806 + 6.10068I
u = −1.044870 + 0.099525I
a = −0.53928 + 1.59752I
b = −0.414830 − 0.680381I
1.69231 − 1.26633I 25.9459 + 14.2093I
u = −1.044870 − 0.099525I
a = −0.53928 − 1.59752I
b = −0.414830 + 0.680381I
1.69231 + 1.26633I 25.9459 − 14.2093I
u = 0.442553 + 1.055470I
a = 0.016031 + 0.153440I
b = −0.927023 − 0.840368I
−7.24724 − 1.02583I −0.796867 − 1.023283I
u = 0.442553 − 1.055470I
a = 0.016031 − 0.153440I
b = −0.927023 + 0.840368I
−7.24724 + 1.02583I −0.796867 + 1.023283I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368847 + 1.089750I
a = 1.49118 + 0.22115I
b = 0.052855 + 0.823044I
−0.68258 − 1.35085I 1.40417 − 0.38839I
u = −0.368847 − 1.089750I
a = 1.49118 − 0.22115I
b = 0.052855 − 0.823044I
−0.68258 + 1.35085I 1.40417 + 0.38839I
u = 0.622817 + 0.988493I
a = −0.819524 − 1.071440I
b = −0.861190 + 0.963155I
−6.86219 + 5.52328I −2.87028 − 6.61639I
u = 0.622817 − 0.988493I
a = −0.819524 + 1.071440I
b = −0.861190 − 0.963155I
−6.86219 − 5.52328I −2.87028 + 6.61639I
u = 0.399523 + 0.625845I
a = 2.49730 + 2.12993I
b = 0.141685 − 0.620149I
−0.07693 + 3.74141I 5.50452 − 11.00105I
u = 0.399523 − 0.625845I
a = 2.49730 − 2.12993I
b = 0.141685 + 0.620149I
−0.07693 − 3.74141I 5.50452 + 11.00105I
u = −0.198247 + 0.684021I
a = 0.77471 + 2.62745I
b = −0.062790 − 1.224510I
1.09408 − 1.32745I 1.94569 + 6.33508I
u = −0.198247 − 0.684021I
a = 0.77471 − 2.62745I
b = −0.062790 + 1.224510I
1.09408 + 1.32745I 1.94569 − 6.33508I
u = 0.486765 + 1.201470I
a = −0.84750 − 1.15917I
b = −0.54082 + 1.43724I
−4.96071 + 8.36904I −2.97510 − 6.23739I
u = 0.486765 − 1.201470I
a = −0.84750 + 1.15917I
b = −0.54082 − 1.43724I
−4.96071 − 8.36904I −2.97510 + 6.23739I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.162690 + 0.576692I
a = −0.005305 − 1.385200I
b = −0.140264 + 1.119050I
0.31041 + 4.13952I 7.76597 − 6.83399I
u = 1.162690 − 0.576692I
a = −0.005305 + 1.385200I
b = −0.140264 − 1.119050I
0.31041 − 4.13952I 7.76597 + 6.83399I
u = −0.540540 + 1.195850I
a = −0.86519 + 1.12290I
b = −0.600610 − 1.250450I
−0.20674 − 7.02610I 3.42108 + 5.72852I
u = −0.540540 − 1.195850I
a = −0.86519 − 1.12290I
b = −0.600610 + 1.250450I
−0.20674 + 7.02610I 3.42108 − 5.72852I
u = −0.191942 + 0.607701I
a = 3.91732 − 1.77982I
b = 0.425257 + 0.550597I
−7.25745 − 7.16410I −5.7589 + 13.6777I
u = −0.191942 − 0.607701I
a = 3.91732 + 1.77982I
b = 0.425257 − 0.550597I
−7.25745 + 7.16410I −5.7589 − 13.6777I
u = −0.076465 + 1.392690I
a = −0.488997 − 0.028628I
b = −0.201467 + 0.339609I
−4.30154 − 2.43261I 0. + 6.12130I
u = −0.076465 − 1.392690I
a = −0.488997 + 0.028628I
b = −0.201467 − 0.339609I
−4.30154 + 2.43261I 0. − 6.12130I
u = 0.165526 + 0.575319I
a = 1.41693 + 1.13030I
b = −0.15933 − 1.57045I
−2.09907 − 5.33545I −2.75152 + 3.75593I
u = 0.165526 − 0.575319I
a = 1.41693 − 1.13030I
b = −0.15933 + 1.57045I
−2.09907 + 5.33545I −2.75152 − 3.75593I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.06069 + 0.98074I
a = 0.578765 + 1.114380I
b = −0.039259 − 0.823613I
−0.96095 + 3.33683I 0
u = 1.06069 − 0.98074I
a = 0.578765 − 1.114380I
b = −0.039259 + 0.823613I
−0.96095 − 3.33683I 0
u = 0.05940 + 1.45935I
a = −0.471555 + 0.059551I
b = 0.137685 − 0.404473I
−11.07780 + 6.42317I 0
u = 0.05940 − 1.45935I
a = −0.471555 − 0.059551I
b = 0.137685 + 0.404473I
−11.07780 − 6.42317I 0
u = −0.031475 + 0.476251I
a = 1.17186 − 1.59062I
b = −0.130074 + 1.386360I
3.57218 + 3.44962I −1.37734 − 8.93470I
u = −0.031475 − 0.476251I
a = 1.17186 + 1.59062I
b = −0.130074 − 1.386360I
3.57218 − 3.44962I −1.37734 + 8.93470I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 4u
35
+ ··· − 7u + 1)(u
142
− 11u
141
+ ··· + 60356u + 9829)
c
2
(u
36
− 13u
35
+ ··· − 7u + 1)(u
142
+ 10u
141
+ ··· − 30698u + 7239)
c
3
(u
36
− 5u
34
+ ··· − u + 5)(u
142
− u
141
+ ··· − 5976125u + 475354)
c
4
(u
36
+ 8u
34
+ ··· − 3u + 1)(u
142
− u
141
+ ··· + 2114842u + 213833)
c
5
(u
36
+ 13u
35
+ ··· + 7u + 1)(u
142
+ 10u
141
+ ··· − 30698u + 7239)
c
6
(u
36
− 2u
35
+ ··· + 14u
2
+ 1)(u
142
+ u
141
+ ··· − 433u + 566)
c
7
(u
36
+ 2u
35
+ ··· − 51u + 19)(u
142
− u
141
+ ··· − 1090932u + 74313)
c
8
, c
9
(u
36
+ 4u
35
+ ··· + 3u
2
+ 1)(u
142
+ 3u
141
+ ··· + 11u + 3)
c
10
(u
36
+ 2u
35
+ ··· + 14u
2
+ 1)(u
142
+ u
141
+ ··· − 433u + 566)
c
11
(u
36
+ 4u
34
+ ··· + 17u + 19)
· (u
142
+ u
141
+ ··· + 31729814u + 9330071)
c
12
(u
36
− 4u
35
+ ··· + 3u
2
+ 1)(u
142
+ 3u
141
+ ··· + 11u + 3)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
36
− 14y
35
+ ··· − 11y + 1)
· (y
142
− 33y
141
+ ··· − 4656904666y + 96609241)
c
2
, c
5
(y
36
+ 19y
35
+ ··· + 33y + 1)
· (y
142
+ 72y
141
+ ··· + 1964047862y + 52403121)
c
3
(y
36
− 10y
35
+ ··· − 161y + 25)
· (y
142
− 37y
141
+ ··· − 14479019050013y + 225961425316)
c
4
(y
36
+ 16y
35
+ ··· − 11y + 1)
· (y
142
+ 41y
141
+ ··· + 1108048823382y + 45724551889)
c
6
, c
10
(y
36
+ 18y
35
+ ··· + 28y + 1)
· (y
142
+ 75y
141
+ ··· + 11660023y + 320356)
c
7
(y
36
+ 10y
35
+ ··· + 2035y + 361)
· (y
142
+ 27y
141
+ ··· + 321386954580y + 5522421969)
c
8
, c
9
, c
12
(y
36
+ 38y
35
+ ··· + 6y + 1)(y
142
+ 147y
141
+ ··· + 239y + 9)
c
11
(y
36
+ 8y
35
+ ··· + 2029y + 361)
· (y
142
+ 45y
141
+ ··· + 2490029141421586y + 87050224865041)
28
