12a
0931
(K12a
0931
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 2 11 10 1 3 7 5 8
Solving Sequence
6,11 3,7
2 5 12 4 1 10 8 9
c
6
c
2
c
5
c
11
c
4
c
1
c
10
c
7
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.48358 × 10
325
u
114
− 8.83956 × 10
325
u
113
+ ··· + 7.90184 × 10
326
b + 4.90948 × 10
327
,
− 3.66178 × 10
326
u
114
+ 1.68734 × 10
327
u
113
+ ··· + 8.69202 × 10
327
a + 1.06744 × 10
330
,
u
115
− 4u
114
+ ··· − 3274u − 242i
I
u
2
= h1493260u
25
− 2702182u
24
+ ··· + 2800453b + 235054,
− 5509815u
25
+ 13098661u
24
+ ··· + 2800453a + 35107117, u
26
− 3u
25
+ ··· − 4u − 1i
I
v
1
= ha, b + 1, v −1i
* 3 irreducible components of dim
C
= 0, with total 142 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
= h1.48 × 10
325
u
114
− 8.84 × 10
325
u
113
+ · · · + 7.90 × 10
326
b + 4.91 ×
10
327
, −3.66 × 10
326
u
114
+ 1.69 × 10
327
u
113
+ · · · + 8.69 × 10
327
a + 1.07 ×
10
330
, u
115
− 4u
114
+ · · · − 3274u − 242i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
0.0421280u
114
− 0.194125u
113
+ ··· + 402.402u − 122.807
−0.0187752u
114
+ 0.111867u
113
+ ··· − 67.9999u − 6.21309
a
7
=
1
u
2
a
2
=
0.0233528u
114
− 0.0822580u
113
+ ··· + 334.402u − 129.020
−0.0187752u
114
+ 0.111867u
113
+ ··· − 67.9999u − 6.21309
a
5
=
0.0195044u
114
− 0.0841949u
113
+ ··· + 366.451u − 125.417
0.00135440u
114
− 0.0548362u
113
+ ··· + 98.6890u + 6.28798
a
12
=
−0.271850u
114
+ 1.10221u
113
+ ··· − 3237.07u + 1136.06
−0.0276167u
114
+ 0.116244u
113
+ ··· − 35.5419u + 6.29003
a
4
=
2.58291u
114
− 10.5413u
113
+ ··· + 29654.6u − 10368.4
0.00832235u
114
− 0.0902908u
113
+ ··· + 304.045u − 61.6849
a
1
=
−0.260596u
114
+ 1.06089u
113
+ ··· − 3246.69u + 1136.50
−0.0126304u
114
+ 0.0556980u
113
+ ··· − 34.1711u + 6.56494
a
10
=
u
u
3
+ u
a
8
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
−0.324366u
114
+ 1.30828u
113
+ ··· − 3219.50u + 1138.13
0.0181005u
114
− 0.0871095u
113
+ ··· + 9.95112u + 10.1619
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.530416u
114
− 2.22908u
113
+ ··· + 5554.59u − 1891.64
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
115
− 2u
114
+ ··· − 533977u − 135887
c
2
, c
5
u
115
− 29u
113
+ ··· + 489u − 103
c
3
, c
9
u
115
− 14u
114
+ ··· − 1475781u − 602561
c
4
, c
11
u
115
− 4u
114
+ ··· + 5559u − 7129
c
6
, c
7
, c
10
u
115
− 4u
114
+ ··· − 3274u − 242
c
8
, c
12
u
115
− 2u
114
+ ··· + 5984u + 161
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
115
− 36y
114
+ ··· + 2122072013805y −18465276769
c
2
, c
5
y
115
− 58y
114
+ ··· + 1346371y −10609
c
3
, c
9
y
115
− 10y
114
+ ··· − 1560457704043y −363079758721
c
4
, c
11
y
115
− 18y
114
+ ··· − 1151442169y −50822641
c
6
, c
7
, c
10
y
115
+ 110y
114
+ ··· + 16205216y −58564
c
8
, c
12
y
115
− 64y
114
+ ··· + 53494106y −25921
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.848760 + 0.535653I
a = 0.353637 + 0.142381I
b = 0.863015 + 0.497078I
−1.40376 − 2.80497I 0
u = −0.848760 − 0.535653I
a = 0.353637 − 0.142381I
b = 0.863015 − 0.497078I
−1.40376 + 2.80497I 0
u = 0.444128 + 0.862264I
a = −0.490281 − 0.258396I
b = 1.42270 − 0.07493I
−8.31558 + 2.30847I 0
u = 0.444128 − 0.862264I
a = −0.490281 + 0.258396I
b = 1.42270 + 0.07493I
−8.31558 − 2.30847I 0
u = −0.871451 + 0.401674I
a = −0.356059 − 0.600521I
b = −1.244120 + 0.593087I
−2.05582 + 7.19848I 0
u = −0.871451 − 0.401674I
a = −0.356059 + 0.600521I
b = −1.244120 − 0.593087I
−2.05582 − 7.19848I 0
u = 0.806197 + 0.515754I
a = −1.230610 + 0.036542I
b = −0.725232 − 0.335010I
−2.92657 + 3.35414I 0
u = 0.806197 − 0.515754I
a = −1.230610 − 0.036542I
b = −0.725232 + 0.335010I
−2.92657 − 3.35414I 0
u = −0.942893 + 0.152410I
a = 0.722614 + 0.211941I
b = 0.842318 − 0.416431I
−1.27183 + 1.02449I 0
u = −0.942893 − 0.152410I
a = 0.722614 − 0.211941I
b = 0.842318 + 0.416431I
−1.27183 − 1.02449I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.055710 + 0.208614I
a = 0.535514 + 0.029917I
b = 0.831687 − 0.565650I
−0.09056 + 2.26730I 0
u = 1.055710 − 0.208614I
a = 0.535514 − 0.029917I
b = 0.831687 + 0.565650I
−0.09056 − 2.26730I 0
u = −0.819748 + 0.738480I
a = 0.325821 − 0.558599I
b = −1.017700 − 0.295821I
−1.06654 − 1.68639I 0
u = −0.819748 − 0.738480I
a = 0.325821 + 0.558599I
b = −1.017700 + 0.295821I
−1.06654 + 1.68639I 0
u = 1.035380 + 0.387132I
a = −0.397265 + 0.551227I
b = −1.213290 − 0.580536I
−5.7222 − 13.0581I 0
u = 1.035380 − 0.387132I
a = −0.397265 − 0.551227I
b = −1.213290 + 0.580536I
−5.7222 + 13.0581I 0
u = −0.720811 + 0.507644I
a = −0.007287 + 0.842062I
b = 1.261910 − 0.166931I
−5.37650 + 2.40064I 0
u = −0.720811 − 0.507644I
a = −0.007287 − 0.842062I
b = 1.261910 + 0.166931I
−5.37650 − 2.40064I 0
u = 0.792446 + 0.355091I
a = 0.287125 − 1.113030I
b = 1.267030 + 0.275005I
−9.78230 − 6.84107I 0
u = 0.792446 − 0.355091I
a = 0.287125 + 1.113030I
b = 1.267030 − 0.275005I
−9.78230 + 6.84107I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.007272 + 1.137120I
a = −0.01929 + 2.37332I
b = 0.785173 − 0.793722I
−1.08900 + 5.90884I 0
u = −0.007272 − 1.137120I
a = −0.01929 − 2.37332I
b = 0.785173 + 0.793722I
−1.08900 − 5.90884I 0
u = −0.444865 + 0.728686I
a = −0.128324 − 0.238843I
b = 0.287556 + 0.640106I
1.04492 + 3.26813I 0
u = −0.444865 − 0.728686I
a = −0.128324 + 0.238843I
b = 0.287556 − 0.640106I
1.04492 − 3.26813I 0
u = −0.667184 + 0.506083I
a = 1.08713 + 0.90478I
b = 1.072640 − 0.507155I
−1.13029 + 7.69736I 0
u = −0.667184 − 0.506083I
a = 1.08713 − 0.90478I
b = 1.072640 + 0.507155I
−1.13029 − 7.69736I 0
u = 0.133758 + 1.163830I
a = 0.90734 − 1.40822I
b = −0.726636 + 0.740712I
−1.92843 + 0.18544I 0
u = 0.133758 − 1.163830I
a = 0.90734 + 1.40822I
b = −0.726636 − 0.740712I
−1.92843 − 0.18544I 0
u = −0.820611 + 0.022404I
a = −0.831148 + 0.746544I
b = −0.871734 + 0.225452I
−0.420463 + 0.454049I 0
u = −0.820611 − 0.022404I
a = −0.831148 − 0.746544I
b = −0.871734 − 0.225452I
−0.420463 − 0.454049I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.342572 + 1.132270I
a = 1.027390 − 0.110480I
b = −1.309470 + 0.407989I
−4.24872 − 2.09284I 0
u = 0.342572 − 1.132270I
a = 1.027390 + 0.110480I
b = −1.309470 − 0.407989I
−4.24872 + 2.09284I 0
u = 0.164195 + 1.186280I
a = −0.39920 + 1.92337I
b = 0.335099 − 0.255524I
−1.21977 − 6.97522I 0
u = 0.164195 − 1.186280I
a = −0.39920 − 1.92337I
b = 0.335099 + 0.255524I
−1.21977 + 6.97522I 0
u = 0.777862 + 0.126290I
a = −0.460508 + 0.703488I
b = −1.170850 − 0.640764I
−7.30108 − 1.98752I 0
u = 0.777862 − 0.126290I
a = −0.460508 − 0.703488I
b = −1.170850 + 0.640764I
−7.30108 + 1.98752I 0
u = −0.024539 + 1.266100I
a = 0.262122 − 1.308580I
b = 0.366022 + 0.297777I
3.90810 + 2.10519I 0
u = −0.024539 − 1.266100I
a = 0.262122 + 1.308580I
b = 0.366022 − 0.297777I
3.90810 − 2.10519I 0
u = −0.114979 + 1.264060I
a = −0.19552 − 2.44022I
b = 0.183040 + 1.265380I
4.64254 + 0.78526I 0
u = −0.114979 − 1.264060I
a = −0.19552 + 2.44022I
b = 0.183040 − 1.265380I
4.64254 − 0.78526I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.593045 + 0.396313I
a = −0.705193 − 0.411959I
b = −0.148133 + 0.960454I
−2.59156 − 7.60766I −8.00000 + 6.69285I
u = 0.593045 − 0.396313I
a = −0.705193 + 0.411959I
b = −0.148133 − 0.960454I
−2.59156 + 7.60766I −8.00000 − 6.69285I
u = 0.051284 + 1.291940I
a = −1.130690 + 0.261646I
b = 1.98739 − 0.20444I
−4.87527 − 3.60685I 0
u = 0.051284 − 1.291940I
a = −1.130690 − 0.261646I
b = 1.98739 + 0.20444I
−4.87527 + 3.60685I 0
u = −0.319473 + 1.257690I
a = 0.242862 + 0.596086I
b = 0.669671 − 0.148467I
2.10936 + 3.26957I 0
u = −0.319473 − 1.257690I
a = 0.242862 − 0.596086I
b = 0.669671 + 0.148467I
2.10936 − 3.26957I 0
u = 0.689850 + 0.076744I
a = −0.307075 + 0.730969I
b = −0.290572 − 0.773586I
−4.99291 − 3.33304I −13.08615 + 3.39546I
u = 0.689850 − 0.076744I
a = −0.307075 − 0.730969I
b = −0.290572 + 0.773586I
−4.99291 + 3.33304I −13.08615 − 3.39546I
u = −0.023304 + 1.306530I
a = −0.59051 − 1.33130I
b = −1.185790 + 0.271332I
0.569428 + 0.425875I 0
u = −0.023304 − 1.306530I
a = −0.59051 + 1.33130I
b = −1.185790 − 0.271332I
0.569428 − 0.425875I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.334393 + 1.265360I
a = −0.47433 + 1.62982I
b = −0.312042 − 0.651579I
−0.88935 − 7.00364I 0
u = 0.334393 − 1.265360I
a = −0.47433 − 1.62982I
b = −0.312042 + 0.651579I
−0.88935 + 7.00364I 0
u = 0.145936 + 0.646760I
a = 1.93330 − 0.69519I
b = −0.431275 + 0.236192I
−2.29797 + 0.41180I −6.91359 + 0.I
u = 0.145936 − 0.646760I
a = 1.93330 + 0.69519I
b = −0.431275 − 0.236192I
−2.29797 − 0.41180I −6.91359 + 0.I
u = 0.045172 + 1.348770I
a = 0.35576 + 1.44895I
b = −1.025840 − 0.495040I
2.73002 − 1.02745I 0
u = 0.045172 − 1.348770I
a = 0.35576 − 1.44895I
b = −1.025840 + 0.495040I
2.73002 + 1.02745I 0
u = 0.244481 + 0.581940I
a = −0.337020 − 0.312300I
b = 0.523607 − 0.703589I
3.31672 + 1.01238I 0. − 2.79142I
u = 0.244481 − 0.581940I
a = −0.337020 + 0.312300I
b = 0.523607 + 0.703589I
3.31672 − 1.01238I 0. + 2.79142I
u = 0.317987 + 1.350110I
a = 0.30106 + 1.88497I
b = −1.052110 − 0.853041I
−2.64224 − 5.93833I 0
u = 0.317987 − 1.350110I
a = 0.30106 − 1.88497I
b = −1.052110 + 0.853041I
−2.64224 + 5.93833I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.905787 + 1.055960I
a = 0.308652 + 0.202276I
b = −0.998116 + 0.396976I
−3.92358 + 6.50991I 0
u = 0.905787 − 1.055960I
a = 0.308652 − 0.202276I
b = −0.998116 − 0.396976I
−3.92358 − 6.50991I 0
u = −0.203376 + 1.378930I
a = 0.32768 − 1.41692I
b = −0.606279 + 0.411879I
4.08974 + 2.88264I 0
u = −0.203376 − 1.378930I
a = 0.32768 + 1.41692I
b = −0.606279 − 0.411879I
4.08974 − 2.88264I 0
u = 0.543376 + 0.245663I
a = 1.50482 − 0.35020I
b = 0.995267 + 0.546016I
1.94742 − 3.73444I −2.99201 + 4.54253I
u = 0.543376 − 0.245663I
a = 1.50482 + 0.35020I
b = 0.995267 − 0.546016I
1.94742 + 3.73444I −2.99201 − 4.54253I
u = −0.180518 + 1.393110I
a = 0.71276 + 1.65856I
b = −0.69614 − 1.51255I
6.32602 + 3.38126I 0
u = −0.180518 − 1.393110I
a = 0.71276 − 1.65856I
b = −0.69614 + 1.51255I
6.32602 − 3.38126I 0
u = 0.052810 + 1.408130I
a = 0.95246 + 2.48551I
b = −0.919359 − 0.186590I
1.73762 − 0.50100I 0
u = 0.052810 − 1.408130I
a = 0.95246 − 2.48551I
b = −0.919359 + 0.186590I
1.73762 + 0.50100I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.20254 + 1.40986I
a = −0.15648 − 1.53021I
b = 1.26724 + 0.71966I
7.29078 − 6.44881I 0
u = 0.20254 − 1.40986I
a = −0.15648 + 1.53021I
b = 1.26724 − 0.71966I
7.29078 + 6.44881I 0
u = 0.20423 + 1.43550I
a = −1.04385 − 1.28519I
b = 1.095920 + 0.612241I
−2.32289 + 0.32997I 0
u = 0.20423 − 1.43550I
a = −1.04385 + 1.28519I
b = 1.095920 − 0.612241I
−2.32289 − 0.32997I 0
u = −0.31362 + 1.42263I
a = 0.060785 − 0.787387I
b = −1.318410 + 0.422599I
4.49338 + 4.70011I 0
u = −0.31362 − 1.42263I
a = 0.060785 + 0.787387I
b = −1.318410 − 0.422599I
4.49338 − 4.70011I 0
u = 0.51530 + 1.37670I
a = 0.205635 − 1.272950I
b = 1.123530 + 0.658322I
3.75436 − 8.01338I 0
u = 0.51530 − 1.37670I
a = 0.205635 + 1.272950I
b = 1.123530 − 0.658322I
3.75436 + 8.01338I 0
u = 0.24043 + 1.45063I
a = 0.47198 − 1.47656I
b = −0.39633 + 1.38876I
3.33246 − 10.74300I 0
u = 0.24043 − 1.45063I
a = 0.47198 + 1.47656I
b = −0.39633 − 1.38876I
3.33246 + 10.74300I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.273683 + 0.449521I
a = −0.935505 + 0.381660I
b = −1.143250 − 0.176030I
−3.24070 + 0.76614I −9.29153 − 9.11952I
u = −0.273683 − 0.449521I
a = −0.935505 − 0.381660I
b = −1.143250 + 0.176030I
−3.24070 − 0.76614I −9.29153 + 9.11952I
u = −0.512024
a = 1.00918
b = 0.104589
−1.30525 −8.04660
u = 0.03133 + 1.48977I
a = −0.463963 + 1.224590I
b = 0.375218 − 1.123290I
10.10420 + 0.16194I 0
u = 0.03133 − 1.48977I
a = −0.463963 − 1.224590I
b = 0.375218 + 1.123290I
10.10420 − 0.16194I 0
u = 0.30669 + 1.46839I
a = −0.59841 − 1.56983I
b = 1.141790 + 0.484176I
−3.90285 − 10.84020I 0
u = 0.30669 − 1.46839I
a = −0.59841 + 1.56983I
b = 1.141790 − 0.484176I
−3.90285 + 10.84020I 0
u = 0.15757 + 1.50056I
a = 0.194740 + 0.937959I
b = −1.282560 − 0.508335I
4.20019 + 0.23370I 0
u = 0.15757 − 1.50056I
a = 0.194740 − 0.937959I
b = −1.282560 + 0.508335I
4.20019 − 0.23370I 0
u = 0.28656 + 1.48163I
a = −0.294558 + 0.764011I
b = 0.441979 − 0.853938I
5.78605 − 2.39116I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.28656 − 1.48163I
a = −0.294558 − 0.764011I
b = 0.441979 + 0.853938I
5.78605 + 2.39116I 0
u = −0.24773 + 1.48985I
a = −0.12180 + 1.44164I
b = 1.28492 − 0.61531I
5.28274 + 11.06650I 0
u = −0.24773 − 1.48985I
a = −0.12180 − 1.44164I
b = 1.28492 + 0.61531I
5.28274 − 11.06650I 0
u = −0.26170 + 1.49467I
a = −0.70622 + 1.26852I
b = 1.152730 − 0.515773I
1.09564 + 5.97831I 0
u = −0.26170 − 1.49467I
a = −0.70622 − 1.26852I
b = 1.152730 + 0.515773I
1.09564 − 5.97831I 0
u = −0.33901 + 1.48133I
a = 0.38955 − 1.62191I
b = −1.31688 + 0.86138I
3.96448 + 11.58650I 0
u = −0.33901 − 1.48133I
a = 0.38955 + 1.62191I
b = −1.31688 − 0.86138I
3.96448 − 11.58650I 0
u = −0.436400 + 0.169728I
a = −0.859975 + 0.810724I
b = −0.319600 − 1.234530I
1.21839 + 1.05065I −12.05031 − 7.14943I
u = −0.436400 − 0.169728I
a = −0.859975 − 0.810724I
b = −0.319600 + 1.234530I
1.21839 − 1.05065I −12.05031 + 7.14943I
u = 0.313163 + 0.334163I
a = −1.21707 − 1.40078I
b = 1.53200 + 0.23250I
−8.16318 + 2.66336I −17.8732 − 3.5049I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.313163 − 0.334163I
a = −1.21707 + 1.40078I
b = 1.53200 − 0.23250I
−8.16318 − 2.66336I −17.8732 + 3.5049I
u = −0.40800 + 1.49585I
a = −0.015891 + 1.219100I
b = 1.114320 − 0.615250I
4.09278 + 6.12627I 0
u = −0.40800 − 1.49585I
a = −0.015891 − 1.219100I
b = 1.114320 + 0.615250I
4.09278 − 6.12627I 0
u = −0.09800 + 1.55477I
a = −0.303147 − 1.145330I
b = 0.176377 + 1.012480I
8.66726 + 5.18238I 0
u = −0.09800 − 1.55477I
a = −0.303147 + 1.145330I
b = 0.176377 − 1.012480I
8.66726 − 5.18238I 0
u = 0.39745 + 1.50772I
a = 0.25992 + 1.54249I
b = −1.32257 − 0.77450I
0.3285 − 18.1859I 0
u = 0.39745 − 1.50772I
a = 0.25992 − 1.54249I
b = −1.32257 + 0.77450I
0.3285 + 18.1859I 0
u = −0.16909 + 1.55843I
a = −0.197722 − 0.873637I
b = 0.455786 + 0.780270I
6.08178 + 0.84106I 0
u = −0.16909 − 1.55843I
a = −0.197722 + 0.873637I
b = 0.455786 − 0.780270I
6.08178 − 0.84106I 0
u = −0.306547 + 0.215113I
a = 0.613994 − 1.264500I
b = −0.273298 + 0.261391I
−0.466771 + 0.832441I −9.34306 − 8.18046I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.306547 − 0.215113I
a = 0.613994 + 1.264500I
b = −0.273298 − 0.261391I
−0.466771 − 0.832441I −9.34306 + 8.18046I
u = 0.295478
a = −2.56557
b = −0.923726
−1.51120 −6.11550
u = −0.12927 + 1.83070I
a = 0.436548 − 0.143195I
b = −0.629747 − 0.003385I
8.11054 + 2.74940I 0
u = −0.12927 − 1.83070I
a = 0.436548 + 0.143195I
b = −0.629747 + 0.003385I
8.11054 − 2.74940I 0
u = −0.0610581
a = −148.073
b = −0.998011
−3.28783 −2233.10
16
II.
I
u
2
= h1.49 × 10
6
u
25
− 2.70 × 10
6
u
24
+ · · · + 2.80 × 10
6
b + 2.35 × 10
5
, −5.51 ×
10
6
u
25
+1.31×10
7
u
24
+· · · +2.80×10
6
a+3.51×10
7
, u
26
−3u
25
+· · · − 4u −1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
1.96747u
25
− 4.67734u
24
+ ··· + 69.2022u − 12.5362
−0.533221u
25
+ 0.964909u
24
+ ··· + 4.51107u − 0.0839343
a
7
=
1
u
2
a
2
=
1.43425u
25
− 3.71243u
24
+ ··· + 73.7132u − 12.6202
−0.533221u
25
+ 0.964909u
24
+ ··· + 4.51107u − 0.0839343
a
5
=
0.853886u
25
− 2.98215u
24
+ ··· + 72.8784u − 11.4277
2.16059u
25
− 6.83795u
24
+ ··· + 4.43665u + 0.140403
a
12
=
−3.03930u
25
+ 9.78221u
24
+ ··· − 156.953u + 30.0998
−0.202790u
25
+ 0.516128u
24
+ ··· − 5.94755u + 1.34461
a
4
=
9.15386u
25
− 29.2824u
24
+ ··· + 455.749u − 82.0067
1.35608u
25
− 3.57950u
24
+ ··· + 17.4512u − 3.41836
a
1
=
−3.37500u
25
+ 11.3334u
24
+ ··· − 155.010u + 29.0605
−0.261930u
25
+ 0.671359u
24
+ ··· − 5.99244u + 1.39090
a
10
=
u
u
3
+ u
a
8
=
u
2
+ 1
u
4
+ 2u
2
a
9
=
−3.66510u
25
+ 10.1431u
24
+ ··· − 158.439u + 30.4760
0.200453u
25
+ 0.666037u
24
+ ··· − 12.2579u − 0.121281
(ii) Obstruction class = 1
(iii) Cusp Shapes =
20150746
2800453
u
25
−
62792159
2800453
u
24
+ ··· −
53037391
2800453
u −
6389753
2800453
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 8u
25
+ ··· − 18u + 1
c
2
u
26
+ 8u
25
+ ··· + 8u + 1
c
3
u
26
+ 2u
25
+ ··· − 2u
2
− 1
c
4
u
26
− 6u
25
+ ··· − 6u − 1
c
5
u
26
− 8u
25
+ ··· − 8u + 1
c
6
, c
7
u
26
− 3u
25
+ ··· − 4u − 1
c
8
u
26
− 4u
24
+ ··· + u + 1
c
9
u
26
− 2u
25
+ ··· − 2u
2
− 1
c
10
u
26
+ 3u
25
+ ··· + 4u − 1
c
11
u
26
+ 6u
25
+ ··· + 6u − 1
c
12
u
26
− 4u
24
+ ··· − u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
− 4y
25
+ ··· − 24y + 1
c
2
, c
5
y
26
− 14y
25
+ ··· − 14y + 1
c
3
, c
9
y
26
+ 2y
25
+ ··· + 4y + 1
c
4
, c
11
y
26
+ 2y
25
+ ··· + 6y + 1
c
6
, c
7
, c
10
y
26
+ 29y
25
+ ··· − 80y + 1
c
8
, c
12
y
26
− 8y
25
+ ··· − 13y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.022350 + 0.253702I
a = 0.508058 − 0.107953I
b = 0.853195 − 0.491735I
0.82630 + 2.02782I −2.36814 − 2.16024I
u = 1.022350 − 0.253702I
a = 0.508058 + 0.107953I
b = 0.853195 + 0.491735I
0.82630 − 2.02782I −2.36814 + 2.16024I
u = −0.582985 + 0.723697I
a = 0.956069 + 0.934757I
b = 0.553255 + 0.301462I
−2.86288 − 4.78908I −11.61798 + 4.38458I
u = −0.582985 − 0.723697I
a = 0.956069 − 0.934757I
b = 0.553255 − 0.301462I
−2.86288 + 4.78908I −11.61798 − 4.38458I
u = −0.083523 + 1.159990I
a = −1.49397 − 0.36700I
b = 1.76591 + 0.22313I
−5.89328 + 3.52834I −12.99598 − 3.39359I
u = −0.083523 − 1.159990I
a = −1.49397 + 0.36700I
b = 1.76591 − 0.22313I
−5.89328 − 3.52834I −12.99598 + 3.39359I
u = −0.154629 + 0.758239I
a = −0.471018 − 0.141461I
b = 1.60502 − 0.09946I
−7.44849 − 2.63349I −5.61229 + 3.04325I
u = −0.154629 − 0.758239I
a = −0.471018 + 0.141461I
b = 1.60502 + 0.09946I
−7.44849 + 2.63349I −5.61229 − 3.04325I
u = −0.279851 + 1.199860I
a = 0.49662 + 2.30062I
b = 0.581004 − 0.609255I
−1.01003 + 7.92983I −7.6104 − 12.8473I
u = −0.279851 − 1.199860I
a = 0.49662 − 2.30062I
b = 0.581004 + 0.609255I
−1.01003 − 7.92983I −7.6104 + 12.8473I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.070272 + 1.263510I
a = −0.01250 − 2.36542I
b = −0.328377 + 1.088510I
4.91270 − 1.29414I 0.03674 + 6.12038I
u = 0.070272 − 1.263510I
a = −0.01250 + 2.36542I
b = −0.328377 − 1.088510I
4.91270 + 1.29414I 0.03674 − 6.12038I
u = 0.666934
a = −0.961805
b = −0.907540
−2.55505 −15.8240
u = 0.286679 + 1.303990I
a = 0.041146 + 0.871686I
b = −0.917561 − 0.260224I
1.58302 − 3.44755I −12.62203 + 4.30317I
u = 0.286679 − 1.303990I
a = 0.041146 − 0.871686I
b = −0.917561 + 0.260224I
1.58302 + 3.44755I −12.62203 − 4.30317I
u = −0.048601 + 1.400770I
a = 0.33641 − 2.10155I
b = −1.014690 + 0.252640I
1.58255 + 0.57861I −23.2535 + 3.7221I
u = −0.048601 − 1.400770I
a = 0.33641 + 2.10155I
b = −1.014690 − 0.252640I
1.58255 − 0.57861I −23.2535 − 3.7221I
u = 0.16241 + 1.46616I
a = −0.250247 + 1.193130I
b = 0.349283 − 1.115370I
7.70610 − 1.53146I −2.18281 + 0.62008I
u = 0.16241 − 1.46616I
a = −0.250247 − 1.193130I
b = 0.349283 + 1.115370I
7.70610 + 1.53146I −2.18281 − 0.62008I
u = 0.43090 + 1.42470I
a = 0.040439 − 1.239340I
b = 1.185480 + 0.621504I
4.91798 − 7.37448I −4.18561 + 5.89150I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.43090 − 1.42470I
a = 0.040439 + 1.239340I
b = 1.185480 − 0.621504I
4.91798 + 7.37448I −4.18561 − 5.89150I
u = 0.247020 + 0.282950I
a = 2.00027 + 0.29611I
b = −0.074835 − 0.938362I
1.63619 + 0.26621I −5.54784 + 0.64673I
u = 0.247020 − 0.282950I
a = 2.00027 − 0.29611I
b = −0.074835 + 0.938362I
1.63619 − 0.26621I −5.54784 − 0.64673I
u = 0.14925 + 1.77210I
a = −0.0373743 + 0.1349400I
b = 0.386753 − 0.174816I
8.47595 − 2.61606I 0
u = 0.14925 − 1.77210I
a = −0.0373743 − 0.1349400I
b = 0.386753 + 0.174816I
8.47595 + 2.61606I 0
u = −0.105509
a = −23.2660
b = −0.981330
−3.26808 −0.186870
22
III. I
v
1
= ha, b + 1, v − 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
1
0
a
3
=
0
−1
a
7
=
1
0
a
2
=
−1
−1
a
5
=
0
−1
a
12
=
1
1
a
4
=
−1
−2
a
1
=
0
1
a
10
=
1
0
a
8
=
1
0
a
9
=
1
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
8
u − 1
c
5
, c
9
, c
11
c
12
u + 1
c
6
, c
7
, c
10
u
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
8
c
9
, c
11
, c
12
y −1
c
6
, c
7
, c
10
y
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 1.00000
a = 0
b = −1.00000
−3.28987 −12.0000
26
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
26
− 8u
25
+ ··· − 18u + 1)
· (u
115
− 2u
114
+ ··· − 533977u − 135887)
c
2
(u − 1)(u
26
+ 8u
25
+ ··· + 8u + 1)(u
115
− 29u
113
+ ··· + 489u − 103)
c
3
(u − 1)(u
26
+ 2u
25
+ ··· − 2u
2
− 1)
· (u
115
− 14u
114
+ ··· − 1475781u − 602561)
c
4
(u − 1)(u
26
− 6u
25
+ ··· − 6u − 1)(u
115
− 4u
114
+ ··· + 5559u − 7129)
c
5
(u + 1)(u
26
− 8u
25
+ ··· − 8u + 1)(u
115
− 29u
113
+ ··· + 489u − 103)
c
6
, c
7
u(u
26
− 3u
25
+ ··· − 4u − 1)(u
115
− 4u
114
+ ··· − 3274u − 242)
c
8
(u − 1)(u
26
− 4u
24
+ ··· + u + 1)(u
115
− 2u
114
+ ··· + 5984u + 161)
c
9
(u + 1)(u
26
− 2u
25
+ ··· − 2u
2
− 1)
· (u
115
− 14u
114
+ ··· − 1475781u − 602561)
c
10
u(u
26
+ 3u
25
+ ··· + 4u − 1)(u
115
− 4u
114
+ ··· − 3274u − 242)
c
11
(u + 1)(u
26
+ 6u
25
+ ··· + 6u − 1)(u
115
− 4u
114
+ ··· + 5559u − 7129)
c
12
(u + 1)(u
26
− 4u
24
+ ··· − u + 1)(u
115
− 2u
114
+ ··· + 5984u + 161)
27
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
26
− 4y
25
+ ··· − 24y + 1)
· (y
115
− 36y
114
+ ··· + 2122072013805y −18465276769)
c
2
, c
5
(y −1)(y
26
− 14y
25
+ ··· − 14y + 1)
· (y
115
− 58y
114
+ ··· + 1346371y −10609)
c
3
, c
9
(y −1)(y
26
+ 2y
25
+ ··· + 4y + 1)
· (y
115
− 10y
114
+ ··· − 1560457704043y −363079758721)
c
4
, c
11
(y −1)(y
26
+ 2y
25
+ ··· + 6y + 1)
· (y
115
− 18y
114
+ ··· − 1151442169y −50822641)
c
6
, c
7
, c
10
y(y
26
+ 29y
25
+ ··· − 80y + 1)
· (y
115
+ 110y
114
+ ··· + 16205216y −58564)
c
8
, c
12
(y −1)(y
26
− 8y
25
+ ··· − 13y + 1)
· (y
115
− 64y
114
+ ··· + 53494106y −25921)
28
