12a
0659
(K12a
0659
)
A knot diagram
1
Linearized knot diagam
3 7 10 12 9 2 11 4 6 1 5 8
Solving Sequence
4,12 5,8
9 6 1 11 7 10 3 2
c
4
c
8
c
5
c
12
c
11
c
7
c
10
c
3
c
2
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h3.09510 × 10
887
u
168
+ 1.93391 × 10
887
u
167
+ ··· + 5.11630 × 10
888
b − 1.15540 × 10
892
,
7.90794 × 10
888
u
168
+ 1.64481 × 10
891
u
167
+ ··· + 9.53897 × 10
891
a + 2.08425 × 10
895
,
u
169
+ 2u
168
+ ··· + 65269u + 13051i
I
u
2
= h−9.26459 × 10
33
u
37
+ 1.06188 × 10
34
u
36
+ ··· + 3.68110 × 10
33
b − 4.69466 × 10
34
,
1.86555 × 10
34
u
37
+ 2.19102 × 10
34
u
36
+ ··· + 2.57677 × 10
34
a − 3.37189 × 10
35
, u
38
− u
37
+ ··· + 3u − 7i
* 2 irreducible components of dim
C
= 0, with total 207 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h3.10 × 10
887
u
168
+ 1.93 × 10
887
u
167
+ · · · + 5.12 × 10
888
b − 1.16 ×
10
892
, 7.91 × 10
888
u
168
+ 1.64 × 10
891
u
167
+ · · · + 9.54 × 10
891
a + 2.08 ×
10
895
, u
169
+ 2u
168
+ · · · + 65269u + 13051i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
8
=
−0.000829014u
168
− 0.172431u
167
+ ··· − 12895.8u − 2184.99
−0.0604950u
168
− 0.0377989u
167
+ ··· + 12402.5u + 2258.27
a
9
=
0.0596660u
168
− 0.134632u
167
+ ··· − 25298.3u − 4443.26
−0.0604950u
168
− 0.0377989u
167
+ ··· + 12402.5u + 2258.27
a
6
=
0.349624u
168
+ 0.751468u
167
+ ··· − 2742.15u − 1350.08
−0.295949u
168
− 0.736332u
167
+ ··· − 3667.78u + 102.662
a
1
=
0.0470350u
168
+ 0.0467437u
167
+ ··· − 7824.49u − 1349.44
−0.105932u
168
− 0.194999u
167
+ ··· + 6946.06u + 1538.27
a
11
=
u
u
3
+ u
a
7
=
0.0906963u
168
− 0.0344680u
167
+ ··· − 22511.8u − 3998.89
−0.100914u
168
− 0.208313u
167
+ ··· + 4534.85u + 1032.82
a
10
=
−0.447630u
168
− 0.986075u
167
+ ··· − 2487.51u + 557.448
0.149530u
168
+ 0.381710u
167
+ ··· + 2813.98u + 79.8128
a
3
=
0.158314u
168
+ 0.624237u
167
+ ··· + 19953.4u + 3201.62
0.00889723u
168
− 0.170628u
167
+ ··· − 17746.0u − 3123.31
a
2
=
−0.00970490u
168
+ 0.419594u
167
+ ··· + 39719.3u + 7112.40
0.0498702u
168
− 0.124749u
167
+ ··· − 21725.9u − 4006.80
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.41920u
168
− 2.44682u
167
+ ··· + 38884.9u + 9544.51
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
169
+ 80u
168
+ ··· + 99813u + 2401
c
2
, c
6
u
169
− 2u
168
+ ··· − 49u + 49
c
3
u
169
+ 2u
168
+ ··· + 11167u + 523
c
4
, c
11
u
169
+ 2u
168
+ ··· + 65269u + 13051
c
5
, c
9
u
169
+ 16u
168
+ ··· + 3871835u + 205027
c
7
u
169
+ 4u
168
+ ··· − 7867u + 18377
c
8
u
169
− u
168
+ ··· + 2292504u + 164545
c
10
u
169
− 14u
168
+ ··· − 13650u + 6089
c
12
u
169
− 3u
168
+ ··· + 496671u + 144999
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
169
+ 28y
168
+ ··· − 55412679y −5764801
c
2
, c
6
y
169
− 80y
168
+ ··· + 99813y −2401
c
3
y
169
− 14y
168
+ ··· − 3774107y −273529
c
4
, c
11
y
169
+ 90y
168
+ ··· + 67826243y −170328601
c
5
, c
9
y
169
− 216y
168
+ ··· + 4325021500815y −42036070729
c
7
y
169
+ 10y
168
+ ··· + 44572417095y −337714129
c
8
y
169
+ 7y
168
+ ··· + 2188189227116y −27075057025
c
10
y
169
+ 122y
168
+ ··· + 1911336200y −37075921
c
12
y
169
+ 141y
168
+ ··· − 1184216769423y −21024710001
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.071971 + 0.993217I
a = −6.75716 − 0.40615I
b = −0.147600 + 0.008410I
0.07454 − 2.04421I 0
u = 0.071971 − 0.993217I
a = −6.75716 + 0.40615I
b = −0.147600 − 0.008410I
0.07454 + 2.04421I 0
u = 0.404057 + 0.920241I
a = −0.21246 + 1.73079I
b = −1.079020 − 0.354825I
−6.35368 − 2.60436I 0
u = 0.404057 − 0.920241I
a = −0.21246 − 1.73079I
b = −1.079020 + 0.354825I
−6.35368 + 2.60436I 0
u = −0.824347 + 0.531630I
a = −0.013021 + 0.212634I
b = 0.737459 + 0.612624I
−5.27801 − 0.92055I 0
u = −0.824347 − 0.531630I
a = −0.013021 − 0.212634I
b = 0.737459 − 0.612624I
−5.27801 + 0.92055I 0
u = 0.390660 + 0.895610I
a = −1.053550 + 0.037286I
b = −0.23714 − 1.41292I
4.19117 − 1.87219I 0
u = 0.390660 − 0.895610I
a = −1.053550 − 0.037286I
b = −0.23714 + 1.41292I
4.19117 + 1.87219I 0
u = −0.188896 + 0.952600I
a = 1.54752 − 0.79819I
b = 0.576613 + 0.697087I
−0.96768 + 3.48500I 0
u = −0.188896 − 0.952600I
a = 1.54752 + 0.79819I
b = 0.576613 − 0.697087I
−0.96768 − 3.48500I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.375613 + 0.962743I
a = −0.56678 + 1.39008I
b = −1.57564 − 1.06478I
−6.02639 − 2.22210I 0
u = 0.375613 − 0.962743I
a = −0.56678 − 1.39008I
b = −1.57564 + 1.06478I
−6.02639 + 2.22210I 0
u = −0.397050 + 0.955002I
a = 0.22551 + 1.64884I
b = 0.751854 − 0.409735I
−0.35863 + 6.14587I 0
u = −0.397050 − 0.955002I
a = 0.22551 − 1.64884I
b = 0.751854 + 0.409735I
−0.35863 − 6.14587I 0
u = 0.141688 + 0.954367I
a = −1.55942 − 0.80579I
b = −0.633617 + 0.645514I
−0.241484 + 0.420460I 0
u = 0.141688 − 0.954367I
a = −1.55942 + 0.80579I
b = −0.633617 − 0.645514I
−0.241484 − 0.420460I 0
u = −0.182135 + 0.939602I
a = 0.151299 + 1.280790I
b = 0.279820 − 0.160729I
2.46874 + 2.52877I 0
u = −0.182135 − 0.939602I
a = 0.151299 − 1.280790I
b = 0.279820 + 0.160729I
2.46874 − 2.52877I 0
u = 0.416983 + 0.961676I
a = −0.24370 + 1.66418I
b = −0.735547 − 0.497363I
−2.77596 − 11.85740I 0
u = 0.416983 − 0.961676I
a = −0.24370 − 1.66418I
b = −0.735547 + 0.497363I
−2.77596 + 11.85740I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.946715 + 0.092314I
a = 0.832100 − 0.781319I
b = 0.379620 − 0.918901I
0.85553 + 8.76180I 0
u = −0.946715 − 0.092314I
a = 0.832100 + 0.781319I
b = 0.379620 + 0.918901I
0.85553 − 8.76180I 0
u = −0.263450 + 0.904249I
a = 0.045603 + 1.151000I
b = 1.18660 − 1.49972I
0.43172 − 1.78570I 0
u = −0.263450 − 0.904249I
a = 0.045603 − 1.151000I
b = 1.18660 + 1.49972I
0.43172 + 1.78570I 0
u = 0.342947 + 0.869493I
a = −0.237085 − 0.837871I
b = −0.210441 + 0.733591I
−1.25330 − 1.62013I 0
u = 0.342947 − 0.869493I
a = −0.237085 + 0.837871I
b = −0.210441 − 0.733591I
−1.25330 + 1.62013I 0
u = −0.513243 + 0.944588I
a = −0.493569 − 0.512567I
b = −0.283119 + 1.285920I
−3.96229 + 5.71948I 0
u = −0.513243 − 0.944588I
a = −0.493569 + 0.512567I
b = −0.283119 − 1.285920I
−3.96229 − 5.71948I 0
u = −1.050290 + 0.231064I
a = 0.238336 − 0.611188I
b = 0.670309 − 0.238520I
−5.20445 − 0.20484I 0
u = −1.050290 − 0.231064I
a = 0.238336 + 0.611188I
b = 0.670309 + 0.238520I
−5.20445 + 0.20484I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.790375 + 0.730412I
a = 0.646829 − 0.540363I
b = 0.740813 − 0.067067I
−3.73742 + 6.16455I 0
u = −0.790375 − 0.730412I
a = 0.646829 + 0.540363I
b = 0.740813 + 0.067067I
−3.73742 − 6.16455I 0
u = 0.228252 + 0.890872I
a = 0.674429 − 0.333317I
b = 2.33525 − 0.88707I
−2.13027 − 10.09330I 0
u = 0.228252 − 0.890872I
a = 0.674429 + 0.333317I
b = 2.33525 + 0.88707I
−2.13027 + 10.09330I 0
u = −1.026390 + 0.341642I
a = −0.386240 − 1.116300I
b = −0.921633 − 0.915020I
−6.48231 − 5.60638I 0
u = −1.026390 − 0.341642I
a = −0.386240 + 1.116300I
b = −0.921633 + 0.915020I
−6.48231 + 5.60638I 0
u = 0.140979 + 0.901460I
a = −1.31429 − 0.60895I
b = −0.385048 + 0.656951I
−0.37685 − 1.78132I 0
u = 0.140979 − 0.901460I
a = −1.31429 + 0.60895I
b = −0.385048 − 0.656951I
−0.37685 + 1.78132I 0
u = −0.545920 + 0.942971I
a = 0.174146 − 0.277879I
b = 0.493029 + 0.749605I
−3.52379 + 5.83913I 0
u = −0.545920 − 0.942971I
a = 0.174146 + 0.277879I
b = 0.493029 − 0.749605I
−3.52379 − 5.83913I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.195476 + 0.884441I
a = 1.55103 − 0.72463I
b = 0.476684 + 0.705196I
−1.17741 − 1.75927I 0
u = −0.195476 − 0.884441I
a = 1.55103 + 0.72463I
b = 0.476684 − 0.705196I
−1.17741 + 1.75927I 0
u = −0.873185 + 0.200462I
a = 0.480743 + 0.977257I
b = 0.323378 + 0.766446I
−2.18869 − 1.83282I 0
u = −0.873185 − 0.200462I
a = 0.480743 − 0.977257I
b = 0.323378 − 0.766446I
−2.18869 + 1.83282I 0
u = −0.305234 + 1.065120I
a = −1.65870 − 0.31151I
b = −0.927039 + 1.054910I
4.24308 − 1.31842I 0
u = −0.305234 − 1.065120I
a = −1.65870 + 0.31151I
b = −0.927039 − 1.054910I
4.24308 + 1.31842I 0
u = 0.288281 + 0.836276I
a = 0.080486 + 1.368210I
b = −0.94538 − 1.35979I
−2.18128 + 7.70563I 0
u = 0.288281 − 0.836276I
a = 0.080486 − 1.368210I
b = −0.94538 + 1.35979I
−2.18128 − 7.70563I 0
u = 0.880267 + 0.067169I
a = 0.722470 − 1.088100I
b = 0.903527 − 0.705991I
0.95739 + 5.08049I 0
u = 0.880267 − 0.067169I
a = 0.722470 + 1.088100I
b = 0.903527 + 0.705991I
0.95739 − 5.08049I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.305263 + 0.821841I
a = 0.244593 − 0.366378I
b = −0.83222 + 1.66655I
−0.95903 − 1.42850I 0
u = 0.305263 − 0.821841I
a = 0.244593 + 0.366378I
b = −0.83222 − 1.66655I
−0.95903 + 1.42850I 0
u = −0.169987 + 0.853044I
a = −0.529312 − 0.408865I
b = −2.69051 − 0.66691I
0.03715 + 3.89112I 0
u = −0.169987 − 0.853044I
a = −0.529312 + 0.408865I
b = −2.69051 + 0.66691I
0.03715 − 3.89112I 0
u = 0.217144 + 1.116520I
a = −0.824075 + 1.077390I
b = −0.360306 − 0.396861I
1.87631 + 2.16809I 0
u = 0.217144 − 1.116520I
a = −0.824075 − 1.077390I
b = −0.360306 + 0.396861I
1.87631 − 2.16809I 0
u = 1.117860 + 0.236165I
a = 0.451781 − 0.995277I
b = 0.856043 − 0.861770I
−0.88968 + 8.60210I 0
u = 1.117860 − 0.236165I
a = 0.451781 + 0.995277I
b = 0.856043 + 0.861770I
−0.88968 − 8.60210I 0
u = 0.119812 + 1.139070I
a = −0.782041 + 0.202206I
b = −0.79641 − 1.53061I
6.36764 − 0.28160I 0
u = 0.119812 − 1.139070I
a = −0.782041 − 0.202206I
b = −0.79641 + 1.53061I
6.36764 + 0.28160I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.691698 + 0.928258I
a = 1.122520 − 0.367720I
b = 0.28163 − 1.55427I
1.17602 − 1.69304I 0
u = −0.691698 − 0.928258I
a = 1.122520 + 0.367720I
b = 0.28163 + 1.55427I
1.17602 + 1.69304I 0
u = −0.503719 + 0.671993I
a = −0.576045 − 1.044330I
b = −0.217398 + 0.766926I
−4.20057 − 1.38927I 0
u = −0.503719 − 0.671993I
a = −0.576045 + 1.044330I
b = −0.217398 − 0.766926I
−4.20057 + 1.38927I 0
u = 0.830280 + 0.085868I
a = −0.908349 − 0.917650I
b = −0.315914 − 0.925502I
2.73800 − 3.67058I 0
u = 0.830280 − 0.085868I
a = −0.908349 + 0.917650I
b = −0.315914 + 0.925502I
2.73800 + 3.67058I 0
u = 0.393657 + 1.101140I
a = −1.043910 + 0.072237I
b = −0.783103 − 0.212485I
−0.92755 − 2.66990I 0
u = 0.393657 − 1.101140I
a = −1.043910 − 0.072237I
b = −0.783103 + 0.212485I
−0.92755 + 2.66990I 0
u = 0.369621 + 1.129080I
a = 1.50291 − 0.23061I
b = 0.839731 + 1.065180I
6.24642 − 4.46939I 0
u = 0.369621 − 1.129080I
a = 1.50291 + 0.23061I
b = 0.839731 − 1.065180I
6.24642 + 4.46939I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.057317 + 1.192530I
a = −0.831583 + 0.027728I
b = −0.237122 + 0.648927I
−0.17178 − 2.28821I 0
u = −0.057317 − 1.192530I
a = −0.831583 − 0.027728I
b = −0.237122 − 0.648927I
−0.17178 + 2.28821I 0
u = 0.496350 + 0.624439I
a = −0.935939 − 0.842250I
b = −0.814318 − 0.052970I
−1.70913 − 1.86501I 0
u = 0.496350 − 0.624439I
a = −0.935939 + 0.842250I
b = −0.814318 + 0.052970I
−1.70913 + 1.86501I 0
u = −1.174790 + 0.265699I
a = −0.410477 − 0.958935I
b = −0.831369 − 0.879557I
−3.1868 − 14.1215I 0
u = −1.174790 − 0.265699I
a = −0.410477 + 0.958935I
b = −0.831369 + 0.879557I
−3.1868 + 14.1215I 0
u = −0.154009 + 1.206350I
a = 0.796943 + 0.196662I
b = 0.86302 − 1.36563I
5.87383 + 5.14582I 0
u = −0.154009 − 1.206350I
a = 0.796943 − 0.196662I
b = 0.86302 + 1.36563I
5.87383 − 5.14582I 0
u = 1.127950 + 0.475936I
a = −0.213103 + 0.358544I
b = −0.634742 + 0.602299I
−5.97733 − 1.37962I 0
u = 1.127950 − 0.475936I
a = −0.213103 − 0.358544I
b = −0.634742 − 0.602299I
−5.97733 + 1.37962I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.658536 + 1.035650I
a = −0.854151 − 0.382246I
b = −0.07277 − 1.44169I
4.57555 − 2.56623I 0
u = 0.658536 − 1.035650I
a = −0.854151 + 0.382246I
b = −0.07277 + 1.44169I
4.57555 + 2.56623I 0
u = −0.257982 + 1.200630I
a = 0.708670 + 0.398371I
b = 0.520250 − 0.715455I
2.84934 + 2.13074I 0
u = −0.257982 − 1.200630I
a = 0.708670 − 0.398371I
b = 0.520250 + 0.715455I
2.84934 − 2.13074I 0
u = −1.170530 + 0.374934I
a = 0.209174 + 0.511854I
b = 0.532513 + 0.573892I
−3.34643 − 0.99719I 0
u = −1.170530 − 0.374934I
a = 0.209174 − 0.511854I
b = 0.532513 − 0.573892I
−3.34643 + 0.99719I 0
u = 0.319044 + 0.671473I
a = 1.59772 − 0.82338I
b = 1.70423 + 0.00615I
−7.20616 − 0.68122I 0
u = 0.319044 − 0.671473I
a = 1.59772 + 0.82338I
b = 1.70423 − 0.00615I
−7.20616 + 0.68122I 0
u = −0.751941 + 1.012280I
a = 0.812655 − 0.629044I
b = −0.10547 − 1.55256I
1.41455 + 7.41770I 0
u = −0.751941 − 1.012280I
a = 0.812655 + 0.629044I
b = −0.10547 + 1.55256I
1.41455 − 7.41770I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.417618 + 1.195530I
a = 0.984447 + 0.463603I
b = 1.42520 − 1.25467I
3.96135 + 3.75228I 0
u = −0.417618 − 1.195530I
a = 0.984447 − 0.463603I
b = 1.42520 + 1.25467I
3.96135 − 3.75228I 0
u = 1.204870 + 0.390600I
a = −0.296872 + 0.461394I
b = −0.569100 + 0.638486I
−5.23463 + 4.94808I 0
u = 1.204870 − 0.390600I
a = −0.296872 − 0.461394I
b = −0.569100 − 0.638486I
−5.23463 − 4.94808I 0
u = −0.532213 + 1.153990I
a = −1.261510 − 0.056165I
b = −0.764913 + 1.059370I
0.66304 + 6.88978I 0
u = −0.532213 − 1.153990I
a = −1.261510 + 0.056165I
b = −0.764913 − 1.059370I
0.66304 − 6.88978I 0
u = 0.467359 + 0.543481I
a = 1.64874 − 0.21188I
b = 1.365060 − 0.296866I
−3.99349 + 8.14520I 0
u = 0.467359 − 0.543481I
a = 1.64874 + 0.21188I
b = 1.365060 + 0.296866I
−3.99349 − 8.14520I 0
u = −0.326108 + 1.241560I
a = 0.770191 + 0.247372I
b = 1.209640 − 0.534494I
3.81852 + 3.16843I 0
u = −0.326108 − 1.241560I
a = 0.770191 − 0.247372I
b = 1.209640 + 0.534494I
3.81852 − 3.16843I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.285360 + 0.651720I
a = 0.84047 − 1.17009I
b = 2.04145 − 0.14960I
−7.10053 − 0.86035I 0
u = 0.285360 − 0.651720I
a = 0.84047 + 1.17009I
b = 2.04145 + 0.14960I
−7.10053 + 0.86035I 0
u = −0.259118 + 1.266840I
a = 0.508936 + 0.283237I
b = 0.303794 − 0.853968I
2.78104 + 2.08109I 0
u = −0.259118 − 1.266840I
a = 0.508936 − 0.283237I
b = 0.303794 + 0.853968I
2.78104 − 2.08109I 0
u = −0.536068 + 1.179860I
a = −0.659149 + 0.517664I
b = 0.003379 + 0.684091I
3.19553 + 4.85072I 0
u = −0.536068 − 1.179860I
a = −0.659149 − 0.517664I
b = 0.003379 − 0.684091I
3.19553 − 4.85072I 0
u = 0.281539 + 1.276110I
a = 0.497110 − 0.083958I
b = 1.39022 + 1.54914I
3.64245 − 4.08039I 0
u = 0.281539 − 1.276110I
a = 0.497110 + 0.083958I
b = 1.39022 − 1.54914I
3.64245 + 4.08039I 0
u = −0.686384 + 0.091439I
a = −1.00242 + 1.03295I
b = −0.803790 + 0.536793I
0.347701 − 0.238946I 0
u = −0.686384 − 0.091439I
a = −1.00242 − 1.03295I
b = −0.803790 − 0.536793I
0.347701 + 0.238946I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.366346 + 1.275320I
a = −0.744893 + 0.162439I
b = −1.203740 − 0.264801I
2.56246 − 8.44652I 0
u = 0.366346 − 1.275320I
a = −0.744893 − 0.162439I
b = −1.203740 + 0.264801I
2.56246 + 8.44652I 0
u = 0.441247 + 1.251820I
a = 1.287610 − 0.266463I
b = 0.784742 + 1.039990I
6.69747 − 8.17069I 0
u = 0.441247 − 1.251820I
a = 1.287610 + 0.266463I
b = 0.784742 − 1.039990I
6.69747 + 8.17069I 0
u = −1.274550 + 0.372534I
a = 0.117699 + 0.535596I
b = 0.463124 + 0.469958I
−3.04091 − 0.52569I 0
u = −1.274550 − 0.372534I
a = 0.117699 − 0.535596I
b = 0.463124 − 0.469958I
−3.04091 + 0.52569I 0
u = 0.401648 + 1.266480I
a = 0.697790 + 0.357500I
b = 0.081924 + 0.653907I
5.12104 + 0.53108I 0
u = 0.401648 − 1.266480I
a = 0.697790 − 0.357500I
b = 0.081924 − 0.653907I
5.12104 − 0.53108I 0
u = 0.500054 + 1.235120I
a = −1.100900 + 0.336027I
b = −1.28711 − 1.36603I
4.46681 − 10.03180I 0
u = 0.500054 − 1.235120I
a = −1.100900 − 0.336027I
b = −1.28711 + 1.36603I
4.46681 + 10.03180I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.362080 + 0.062506I
a = −0.145788 + 0.496549I
b = −0.525907 + 0.324411I
−5.54514 + 2.31776I 0
u = 1.362080 − 0.062506I
a = −0.145788 − 0.496549I
b = −0.525907 − 0.324411I
−5.54514 − 2.31776I 0
u = −0.460706 + 1.283840I
a = −1.242990 − 0.284796I
b = −0.777099 + 1.038040I
5.0311 + 13.6329I 0
u = −0.460706 − 1.283840I
a = −1.242990 + 0.284796I
b = −0.777099 − 1.038040I
5.0311 − 13.6329I 0
u = 0.637316 + 1.208840I
a = 0.785291 − 0.308889I
b = 0.729433 + 1.168050I
−3.43554 − 4.83997I 0
u = 0.637316 − 1.208840I
a = 0.785291 + 0.308889I
b = 0.729433 − 1.168050I
−3.43554 + 4.83997I 0
u = −0.387993 + 0.493788I
a = −1.85677 − 0.29078I
b = −1.325860 − 0.185760I
−1.64923 − 2.66846I −12.00000 + 0.I
u = −0.387993 − 0.493788I
a = −1.85677 + 0.29078I
b = −1.325860 + 0.185760I
−1.64923 + 2.66846I −12.00000 + 0.I
u = −0.625993 + 1.222900I
a = 1.211070 + 0.180452I
b = 1.14043 − 1.48804I
−3.69394 + 11.54680I 0
u = −0.625993 − 1.222900I
a = 1.211070 − 0.180452I
b = 1.14043 + 1.48804I
−3.69394 − 11.54680I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.549587 + 1.277010I
a = −0.540999 − 0.152276I
b = −0.076538 − 1.151240I
6.05434 − 1.46489I 0
u = 0.549587 − 1.277010I
a = −0.540999 + 0.152276I
b = −0.076538 + 1.151240I
6.05434 + 1.46489I 0
u = −0.326097 + 1.361830I
a = −0.552958 − 0.058000I
b = −1.30839 + 1.29618I
2.65004 + 9.62282I 0
u = −0.326097 − 1.361830I
a = −0.552958 + 0.058000I
b = −1.30839 − 1.29618I
2.65004 − 9.62282I 0
u = −0.63358 + 1.26993I
a = −0.874402 − 0.207084I
b = −0.790637 + 1.106560I
−0.31462 + 7.34345I 0
u = −0.63358 − 1.26993I
a = −0.874402 + 0.207084I
b = −0.790637 − 1.106560I
−0.31462 − 7.34345I 0
u = 0.579966 + 0.013541I
a = 1.60299 − 0.77169I
b = 0.727515 + 0.281532I
−1.18981 + 4.87986I −15.8912 − 3.9873I
u = 0.579966 − 0.013541I
a = 1.60299 + 0.77169I
b = 0.727515 − 0.281532I
−1.18981 − 4.87986I −15.8912 + 3.9873I
u = 0.62155 + 1.28592I
a = −1.134970 + 0.171022I
b = −1.12481 − 1.41157I
2.4268 − 14.7556I 0
u = 0.62155 − 1.28592I
a = −1.134970 − 0.171022I
b = −1.12481 + 1.41157I
2.4268 + 14.7556I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.65882 + 1.27004I
a = 0.896377 − 0.288670I
b = 0.751488 + 1.101580I
−2.26883 − 11.47300I 0
u = 0.65882 − 1.27004I
a = 0.896377 + 0.288670I
b = 0.751488 − 1.101580I
−2.26883 + 11.47300I 0
u = −0.65851 + 1.27373I
a = −0.908575 − 0.068206I
b = −0.823797 + 1.051330I
0.01803 + 7.21034I 0
u = −0.65851 − 1.27373I
a = −0.908575 + 0.068206I
b = −0.823797 − 1.051330I
0.01803 − 7.21034I 0
u = −0.64684 + 1.29797I
a = 1.128780 + 0.144397I
b = 1.09753 − 1.40683I
0.1064 + 20.5307I 0
u = −0.64684 − 1.29797I
a = 1.128780 − 0.144397I
b = 1.09753 + 1.40683I
0.1064 − 20.5307I 0
u = −0.50679 + 1.37075I
a = 0.442779 − 0.100032I
b = 0.068053 − 1.066280I
4.73469 − 3.19415I 0
u = −0.50679 − 1.37075I
a = 0.442779 + 0.100032I
b = 0.068053 + 1.066280I
4.73469 + 3.19415I 0
u = 0.461982 + 0.275435I
a = 1.44013 − 1.31027I
b = 0.398216 + 0.394923I
−3.26709 − 0.84766I −18.3637 + 6.4036I
u = 0.461982 − 0.275435I
a = 1.44013 + 1.31027I
b = 0.398216 − 0.394923I
−3.26709 + 0.84766I −18.3637 − 6.4036I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42750 + 0.33983I
a = −0.094293 + 0.501375I
b = −0.434215 + 0.396138I
−4.55201 − 3.61108I 0
u = 1.42750 − 0.33983I
a = −0.094293 − 0.501375I
b = −0.434215 − 0.396138I
−4.55201 + 3.61108I 0
u = 0.18209 + 1.45775I
a = 0.618881 + 0.151242I
b = 0.166141 + 0.570926I
5.32517 + 3.69723I 0
u = 0.18209 − 1.45775I
a = 0.618881 − 0.151242I
b = 0.166141 − 0.570926I
5.32517 − 3.69723I 0
u = −0.491184 + 0.050903I
a = −1.70747 + 0.82728I
b = −0.814520 − 0.086870I
0.1139450 + 0.0585443I −13.14286 + 0.40039I
u = −0.491184 − 0.050903I
a = −1.70747 − 0.82728I
b = −0.814520 + 0.086870I
0.1139450 − 0.0585443I −13.14286 − 0.40039I
u = 0.74593 + 1.32001I
a = 0.840737 + 0.050275I
b = 0.864487 + 0.988023I
−1.27042 − 3.78503I 0
u = 0.74593 − 1.32001I
a = 0.840737 − 0.050275I
b = 0.864487 − 0.988023I
−1.27042 + 3.78503I 0
u = −0.10574 + 1.51875I
a = −0.584620 + 0.107132I
b = −0.187179 + 0.546848I
3.59311 − 9.01922I 0
u = −0.10574 − 1.51875I
a = −0.584620 − 0.107132I
b = −0.187179 − 0.546848I
3.59311 + 9.01922I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.59836 + 1.41395I
a = −0.716438 − 0.027394I
b = −0.98163 + 1.06231I
−0.34029 + 5.82757I 0
u = −0.59836 − 1.41395I
a = −0.716438 + 0.027394I
b = −0.98163 − 1.06231I
−0.34029 − 5.82757I 0
u = 0.426735 + 0.033911I
a = −1.09192 + 2.18646I
b = −0.054255 + 0.882433I
3.26162 + 1.20745I −7.28255 − 1.87636I
u = 0.426735 − 0.033911I
a = −1.09192 − 2.18646I
b = −0.054255 − 0.882433I
3.26162 − 1.20745I −7.28255 + 1.87636I
u = 0.68631 + 1.42394I
a = 0.750957 + 0.021780I
b = 0.943056 + 1.000890I
−1.20093 − 9.43391I 0
u = 0.68631 − 1.42394I
a = 0.750957 − 0.021780I
b = 0.943056 − 1.000890I
−1.20093 + 9.43391I 0
u = −0.315928
a = −1.13775
b = −0.374314
−0.563077 −17.5550
u = −0.258979 + 0.162846I
a = −0.47515 + 3.35050I
b = −0.093737 + 0.817413I
1.88658 + 3.77577I −9.36355 − 4.34894I
u = −0.258979 − 0.162846I
a = −0.47515 − 3.35050I
b = −0.093737 − 0.817413I
1.88658 − 3.77577I −9.36355 + 4.34894I
21
II.
I
u
2
= h−9.26×10
33
u
37
+1.06×10
34
u
36
+· · ·+3.68×10
33
b−4.69×10
34
, 1.87×
10
34
u
37
+2.19×10
34
u
36
+· · ·+2.58×10
34
a−3.37×10
35
, u
38
−u
37
+· · ·+3u−7i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
8
=
−0.723989u
37
− 0.850300u
36
+ ··· + 0.383767u + 13.0857
2.51680u
37
− 2.88467u
36
+ ··· − 43.6600u + 12.7534
a
9
=
−3.24079u
37
+ 2.03437u
36
+ ··· + 44.0437u + 0.332291
2.51680u
37
− 2.88467u
36
+ ··· − 43.6600u + 12.7534
a
6
=
−8.22814u
37
− 0.924459u
36
+ ··· + 27.6477u + 80.0862
1.57429u
37
− 1.37040u
36
+ ··· − 12.2577u − 0.932079
a
1
=
9.26890u
37
− 14.0994u
36
+ ··· − 84.0408u + 28.8621
2.12031u
37
− 2.67917u
36
+ ··· − 34.2608u + 16.6758
a
11
=
u
u
3
+ u
a
7
=
−1.85035u
37
− 0.0597323u
36
+ ··· + 17.6445u + 12.7405
1.95897u
37
− 2.42053u
36
+ ··· − 33.2764u + 10.0577
a
10
=
37.1266u
37
+ 12.7977u
36
+ ··· − 48.3304u − 384.256
−0.831295u
37
+ 1.67225u
36
+ ··· + 14.7637u − 10.0765
a
3
=
6.11229u
37
− 1.96358u
36
+ ··· − 17.0243u − 31.1563
1.73365u
37
− 0.728736u
36
+ ··· − 16.0674u − 14.6397
a
2
=
6.48762u
37
− 2.56459u
36
+ ··· − 36.7660u − 30.9268
0.762781u
37
− 0.240655u
36
+ ··· + 4.30962u − 1.45314
(ii) Obstruction class = 1
(iii) Cusp Shapes = 111.194u
37
+ 332.362u
36
+ ··· + 1066.10u − 3234.87
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
38
− 23u
37
+ ··· − 7u + 1
c
2
u
38
− u
37
+ ··· + 3u − 1
c
3
u
38
− u
37
+ ··· − 23u − 1
c
4
u
38
− u
37
+ ··· + 3u − 7
c
5
u
38
− 13u
37
+ ··· + 23u − 1
c
6
u
38
+ u
37
+ ··· − 3u − 1
c
7
u
38
+ 3u
37
+ ··· − 23u − 1
c
8
u
38
− 8u
36
+ ··· − 26u − 1
c
9
u
38
+ 13u
37
+ ··· − 23u − 1
c
10
u
38
− 3u
37
+ ··· − 4u + 1
c
11
u
38
+ u
37
+ ··· − 3u − 7
c
12
u
38
+ 51u
36
+ ··· − u − 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
− 7y
37
+ ··· − 15y + 1
c
2
, c
6
y
38
− 23y
37
+ ··· − 7y + 1
c
3
y
38
− 25y
37
+ ··· − 139y + 1
c
4
, c
11
y
38
+ 15y
37
+ ··· + 579y + 49
c
5
, c
9
y
38
− 131y
37
+ ··· − 129y + 1
c
7
y
38
+ 15y
37
+ ··· − 245y + 1
c
8
y
38
− 16y
37
+ ··· − 214y + 1
c
10
y
38
+ 91y
37
+ ··· + 18y + 1
c
12
y
38
+ 102y
37
+ ··· + 25y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.068785 + 0.993757I
a = 7.07867 − 0.37129I
b = 0.146536 + 0.007922I
0.07285 + 2.04381I −2468.30 + 564.31I
u = −0.068785 − 0.993757I
a = 7.07867 + 0.37129I
b = 0.146536 − 0.007922I
0.07285 − 2.04381I −2468.30 − 564.31I
u = 0.379396 + 0.958969I
a = 0.44378 − 1.56719I
b = 1.52903 + 0.70091I
−5.80841 − 2.52072I −2.76515 + 10.18901I
u = 0.379396 − 0.958969I
a = 0.44378 + 1.56719I
b = 1.52903 − 0.70091I
−5.80841 + 2.52072I −2.76515 − 10.18901I
u = −0.160849 + 0.919053I
a = 0.912315 − 0.656141I
b = 0.567111 + 1.178310I
−0.114988 + 0.771095I −7.72641 + 0.95934I
u = −0.160849 − 0.919053I
a = 0.912315 + 0.656141I
b = 0.567111 − 1.178310I
−0.114988 − 0.771095I −7.72641 − 0.95934I
u = −1.067580 + 0.069500I
a = −0.105560 − 0.276581I
b = 0.385980 − 0.195825I
−2.95888 + 0.24404I −10.57984 − 0.79073I
u = −1.067580 − 0.069500I
a = −0.105560 + 0.276581I
b = 0.385980 + 0.195825I
−2.95888 − 0.24404I −10.57984 + 0.79073I
u = 0.371270 + 1.011370I
a = −0.952047 + 0.218055I
b = −0.158359 − 1.262700I
4.72908 − 2.22947I −4.76251 + 6.78709I
u = 0.371270 − 1.011370I
a = −0.952047 − 0.218055I
b = −0.158359 + 1.262700I
4.72908 + 2.22947I −4.76251 − 6.78709I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.376578 + 1.009440I
a = 1.313460 + 0.235500I
b = 0.326565 − 1.049960I
3.09141 − 1.93771I −8.58187 + 2.13613I
u = −0.376578 − 1.009440I
a = 1.313460 − 0.235500I
b = 0.326565 + 1.049960I
3.09141 + 1.93771I −8.58187 − 2.13613I
u = 0.382917 + 1.095880I
a = −0.756944 − 0.132904I
b = −0.518391 − 1.273920I
5.09611 − 1.09151I −6.59309 + 0.I
u = 0.382917 − 1.095880I
a = −0.756944 + 0.132904I
b = −0.518391 + 1.273920I
5.09611 + 1.09151I −6.59309 + 0.I
u = −0.490221 + 1.064390I
a = 0.826867 − 0.449663I
b = 0.354296 − 1.063230I
3.23123 + 5.69135I −8.12016 − 7.77869I
u = −0.490221 − 1.064390I
a = 0.826867 + 0.449663I
b = 0.354296 + 1.063230I
3.23123 − 5.69135I −8.12016 + 7.77869I
u = −1.174720 + 0.404625I
a = −0.024841 + 0.588420I
b = 0.537932 + 0.627187I
−4.49252 − 1.42875I −12.00000 + 5.81313I
u = −1.174720 − 0.404625I
a = −0.024841 − 0.588420I
b = 0.537932 − 0.627187I
−4.49252 + 1.42875I −12.00000 − 5.81313I
u = 0.250495 + 0.693972I
a = −1.29832 + 1.32181I
b = −2.04339 − 0.17245I
−6.86514 − 0.47302I −5.18177 − 7.37772I
u = 0.250495 − 0.693972I
a = −1.29832 − 1.32181I
b = −2.04339 + 0.17245I
−6.86514 + 0.47302I −5.18177 + 7.37772I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.037736 + 0.700019I
a = 0.144597 + 1.035880I
b = 2.04926 − 0.70121I
−0.20117 − 3.23268I −11.87116 + 1.40793I
u = 0.037736 − 0.700019I
a = 0.144597 − 1.035880I
b = 2.04926 + 0.70121I
−0.20117 + 3.23268I −11.87116 − 1.40793I
u = −0.309769 + 1.263930I
a = −0.546290 − 0.408662I
b = −1.53756 + 0.95894I
2.71461 + 4.34687I −12.00000 + 0.I
u = −0.309769 − 1.263930I
a = −0.546290 + 0.408662I
b = −1.53756 − 0.95894I
2.71461 − 4.34687I −12.00000 + 0.I
u = 1.300020 + 0.086048I
a = 0.061768 − 0.396046I
b = −0.350842 − 0.340254I
−4.42186 − 4.29625I −12.0000 + 7.9362I
u = 1.300020 − 0.086048I
a = 0.061768 + 0.396046I
b = −0.350842 + 0.340254I
−4.42186 + 4.29625I −12.0000 − 7.9362I
u = 1.342560 + 0.225323I
a = 0.045226 + 0.455874I
b = −0.413455 + 0.482302I
−5.20028 − 1.53354I 0
u = 1.342560 − 0.225323I
a = 0.045226 − 0.455874I
b = −0.413455 − 0.482302I
−5.20028 + 1.53354I 0
u = −0.142519 + 0.615332I
a = 0.283657 + 1.263000I
b = −1.60004 − 0.71953I
−2.62440 + 9.28142I −14.3549 − 6.0990I
u = −0.142519 − 0.615332I
a = 0.283657 − 1.263000I
b = −1.60004 + 0.71953I
−2.62440 − 9.28142I −14.3549 + 6.0990I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.602124
a = −1.13727
b = 0.0915077
−2.74115 −13.6670
u = 0.37133 + 1.40651I
a = 0.581579 − 0.249094I
b = 1.26441 + 0.76896I
1.68475 − 10.02920I 0
u = 0.37133 − 1.40651I
a = 0.581579 + 0.249094I
b = 1.26441 − 0.76896I
1.68475 + 10.02920I 0
u = −0.73117 + 1.28190I
a = −0.832593 + 0.075547I
b = −0.708190 + 1.183670I
−1.54865 + 8.27468I 0
u = −0.73117 − 1.28190I
a = −0.832593 − 0.075547I
b = −0.708190 − 1.183670I
−1.54865 − 8.27468I 0
u = 0.448452
a = −2.04065
b = −1.38914
−7.49490 −22.5450
u = 0.66330 + 1.41579I
a = 0.699351 − 0.027828I
b = 0.817924 + 0.956923I
−1.00493 − 5.58039I 0
u = 0.66330 − 1.41579I
a = 0.699351 + 0.027828I
b = 0.817924 − 0.956923I
−1.00493 + 5.58039I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 23u
37
+ ··· − 7u + 1)(u
169
+ 80u
168
+ ··· + 99813u + 2401)
c
2
(u
38
− u
37
+ ··· + 3u − 1)(u
169
− 2u
168
+ ··· − 49u + 49)
c
3
(u
38
− u
37
+ ··· − 23u − 1)(u
169
+ 2u
168
+ ··· + 11167u + 523)
c
4
(u
38
− u
37
+ ··· + 3u − 7)(u
169
+ 2u
168
+ ··· + 65269u + 13051)
c
5
(u
38
− 13u
37
+ ··· + 23u − 1)
· (u
169
+ 16u
168
+ ··· + 3871835u + 205027)
c
6
(u
38
+ u
37
+ ··· − 3u − 1)(u
169
− 2u
168
+ ··· − 49u + 49)
c
7
(u
38
+ 3u
37
+ ··· − 23u − 1)(u
169
+ 4u
168
+ ··· − 7867u + 18377)
c
8
(u
38
− 8u
36
+ ··· − 26u − 1)(u
169
− u
168
+ ··· + 2292504u + 164545)
c
9
(u
38
+ 13u
37
+ ··· − 23u − 1)
· (u
169
+ 16u
168
+ ··· + 3871835u + 205027)
c
10
(u
38
− 3u
37
+ ··· − 4u + 1)(u
169
− 14u
168
+ ··· − 13650u + 6089)
c
11
(u
38
+ u
37
+ ··· − 3u − 7)(u
169
+ 2u
168
+ ··· + 65269u + 13051)
c
12
(u
38
+ 51u
36
+ ··· − u − 1)(u
169
− 3u
168
+ ··· + 496671u + 144999)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
38
− 7y
37
+ ··· − 15y + 1)
· (y
169
+ 28y
168
+ ··· − 55412679y −5764801)
c
2
, c
6
(y
38
− 23y
37
+ ··· − 7y + 1)(y
169
− 80y
168
+ ··· + 99813y −2401)
c
3
(y
38
− 25y
37
+ ··· − 139y + 1)
· (y
169
− 14y
168
+ ··· − 3774107y −273529)
c
4
, c
11
(y
38
+ 15y
37
+ ··· + 579y + 49)
· (y
169
+ 90y
168
+ ··· + 67826243y −170328601)
c
5
, c
9
(y
38
− 131y
37
+ ··· − 129y + 1)
· (y
169
− 216y
168
+ ··· + 4325021500815y −42036070729)
c
7
(y
38
+ 15y
37
+ ··· − 245y + 1)
· (y
169
+ 10y
168
+ ··· + 44572417095y −337714129)
c
8
(y
38
− 16y
37
+ ··· − 214y + 1)
· (y
169
+ 7y
168
+ ··· + 2188189227116y −27075057025)
c
10
(y
38
+ 91y
37
+ ··· + 18y + 1)
· (y
169
+ 122y
168
+ ··· + 1911336200y −37075921)
c
12
(y
38
+ 102y
37
+ ··· + 25y + 1)
· (y
169
+ 141y
168
+ ··· − 1184216769423y −21024710001)
32
