12a
0343
(K12a
0343
)
A knot diagram
1
Linearized knot diagam
3 6 8 1 11 2 10 4 12 7 5 9
Solving Sequence
2,7
6 3
1,11
5 12 10 8 4 9
c
6
c
2
c
1
c
5
c
11
c
10
c
7
c
3
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.89950 × 10
307
u
122
− 3.45185 × 10
305
u
121
+ ··· + 2.69069 × 10
307
b − 8.18602 × 10
307
,
8.09068 × 10
306
u
122
− 2.25508 × 10
306
u
121
+ ··· + 2.69069 × 10
307
a + 3.45678 × 10
308
, u
123
− u
122
+ ··· − 20u + 1i
I
u
2
= h−39u
23
− 150u
22
+ ··· + 11b + 5, 56u
23
+ 267u
22
+ ··· + 11a + 144, u
24
+ 4u
23
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 147 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
= h−1.90 × 10
307
u
122
− 3.45 × 10
305
u
121
+ · · · + 2.69 × 10
307
b − 8.19 ×
10
307
, 8.09 × 10
306
u
122
− 2.26 × 10
306
u
121
+ · · · + 2.69 × 10
307
a + 3.46 ×
10
308
, u
123
− u
122
+ · · · − 20u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
−0.300691u
122
+ 0.0838104u
121
+ ··· + 142.979u − 12.8472
0.705952u
122
+ 0.0128289u
121
+ ··· − 44.7302u + 3.04235
a
5
=
6.23437u
122
− 3.57871u
121
+ ··· + 597.596u − 37.9819
−0.328481u
122
+ 0.685943u
121
+ ··· − 0.169787u − 0.237379
a
12
=
−9.17317u
122
+ 3.03651u
121
+ ··· + 237.883u − 14.9968
−2.75634u
122
+ 1.33344u
121
+ ··· − 51.5139u + 2.67282
a
10
=
0.405261u
122
+ 0.0966392u
121
+ ··· + 98.2485u − 9.80483
0.705952u
122
+ 0.0128289u
121
+ ··· − 44.7302u + 3.04235
a
8
=
−2.82246u
122
+ 3.05333u
121
+ ··· − 473.089u + 33.5336
1.04326u
122
− 0.380472u
121
+ ··· − 4.60280u + 0.669294
a
4
=
5.75868u
122
− 3.43889u
121
+ ··· + 592.906u − 37.7562
−0.598238u
122
+ 0.690271u
121
+ ··· − 5.88629u + 0.266081
a
9
=
1.80034u
122
+ 4.11751u
121
+ ··· + 68.8102u + 2.53731
0.0935492u
122
+ 1.97398u
121
+ ··· − 53.4074u + 3.58507
(ii) Obstruction class = −1
(iii) Cusp Shapes = −12.1423u
122
+ 7.17995u
121
+ ··· − 672.463u + 44.2835
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
123
+ 47u
122
+ ··· − 78u − 1
c
2
, c
6
u
123
− u
122
+ ··· − 20u + 1
c
3
, c
8
u
123
− u
122
+ ··· − 96274u + 98677
c
4
u
123
− 3u
122
+ ··· − 639124u + 39811
c
5
, c
11
u
123
+ 5u
122
+ ··· + 1222892u + 197593
c
7
, c
10
u
123
− 5u
122
+ ··· − 16144u + 3433
c
9
, c
12
u
123
+ 5u
122
+ ··· − 10837u + 889
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
123
+ 67y
122
+ ··· + 7218y −1
c
2
, c
6
y
123
+ 47y
122
+ ··· − 78y −1
c
3
, c
8
y
123
− 79y
122
+ ··· + 21540154796y −9737150329
c
4
y
123
− 23y
122
+ ··· + 63443203538y −1584915721
c
5
, c
11
y
123
+ 91y
122
+ ··· − 210187966472y −39042993649
c
7
, c
10
y
123
+ 91y
122
+ ··· − 3783445264y −11785489
c
9
, c
12
y
123
+ 81y
122
+ ··· − 9554859y −790321
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.548242 + 0.829520I
a = −0.28443 + 3.46875I
b = 0.010383 + 1.086070I
0.28408 + 1.97118I 0
u = 0.548242 − 0.829520I
a = −0.28443 − 3.46875I
b = 0.010383 − 1.086070I
0.28408 − 1.97118I 0
u = 0.188873 + 0.961874I
a = 1.06444 − 1.90209I
b = −0.487294 + 0.744193I
−1.65857 + 2.76829I 0
u = 0.188873 − 0.961874I
a = 1.06444 + 1.90209I
b = −0.487294 − 0.744193I
−1.65857 − 2.76829I 0
u = 0.471154 + 0.913310I
a = 0.207239 − 1.003520I
b = 0.0108251 + 0.0804532I
−1.62654 + 2.08087I 0
u = 0.471154 − 0.913310I
a = 0.207239 + 1.003520I
b = 0.0108251 − 0.0804532I
−1.62654 − 2.08087I 0
u = 0.663578 + 0.788429I
a = −0.737189 − 0.836372I
b = 0.217628 − 1.232180I
2.85574 + 2.86066I 0
u = 0.663578 − 0.788429I
a = −0.737189 + 0.836372I
b = 0.217628 + 1.232180I
2.85574 − 2.86066I 0
u = 0.692386 + 0.663598I
a = 1.04127 + 1.31583I
b = −1.403510 − 0.137517I
−2.19824 − 6.06325I 0
u = 0.692386 − 0.663598I
a = 1.04127 − 1.31583I
b = −1.403510 + 0.137517I
−2.19824 + 6.06325I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.684030 + 0.787122I
a = −0.718927 + 0.734117I
b = 1.090480 − 0.430052I
1.08865 + 1.42170I 0
u = −0.684030 − 0.787122I
a = −0.718927 − 0.734117I
b = 1.090480 + 0.430052I
1.08865 − 1.42170I 0
u = −0.867245 + 0.598841I
a = −0.117871 − 0.088053I
b = 0.37530 − 1.45134I
7.05300 + 6.39208I 0
u = −0.867245 − 0.598841I
a = −0.117871 + 0.088053I
b = 0.37530 + 1.45134I
7.05300 − 6.39208I 0
u = 0.054989 + 1.056020I
a = 1.33622 + 0.58354I
b = −0.884436 + 0.596936I
−6.96479 − 5.41961I 0
u = 0.054989 − 1.056020I
a = 1.33622 − 0.58354I
b = −0.884436 − 0.596936I
−6.96479 + 5.41961I 0
u = −0.777613 + 0.728742I
a = 0.446166 + 0.395572I
b = 0.59916 − 1.66153I
4.59202 + 0.63566I 0
u = −0.777613 − 0.728742I
a = 0.446166 − 0.395572I
b = 0.59916 + 1.66153I
4.59202 − 0.63566I 0
u = 0.555401 + 0.915721I
a = −3.63550 − 0.10365I
b = 0.119236 − 0.990652I
−0.01039 + 2.42514I 0
u = 0.555401 − 0.915721I
a = −3.63550 + 0.10365I
b = 0.119236 + 0.990652I
−0.01039 − 2.42514I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.701386 + 0.596129I
a = −0.610071 + 1.182720I
b = −0.311639 + 1.042460I
−2.82441 + 6.67098I 0
u = −0.701386 − 0.596129I
a = −0.610071 − 1.182720I
b = −0.311639 − 1.042460I
−2.82441 − 6.67098I 0
u = 0.564981 + 0.726132I
a = 0.267380 − 0.658452I
b = 0.61470 + 1.80552I
4.79658 − 1.21676I 0
u = 0.564981 − 0.726132I
a = 0.267380 + 0.658452I
b = 0.61470 − 1.80552I
4.79658 + 1.21676I 0
u = 0.092365 + 0.914757I
a = −1.79744 + 0.67550I
b = 0.701179 − 0.034836I
−3.74968 + 2.54946I 0
u = 0.092365 − 0.914757I
a = −1.79744 − 0.67550I
b = 0.701179 + 0.034836I
−3.74968 − 2.54946I 0
u = −0.795084 + 0.738844I
a = −0.117741 − 0.649836I
b = −0.94381 + 1.52052I
4.61157 + 1.84512I 0
u = −0.795084 − 0.738844I
a = −0.117741 + 0.649836I
b = −0.94381 − 1.52052I
4.61157 − 1.84512I 0
u = 0.571873 + 0.702674I
a = −0.673278 − 0.065065I
b = −0.01582 − 1.84927I
4.72306 + 3.41874I 0
u = 0.571873 − 0.702674I
a = −0.673278 + 0.065065I
b = −0.01582 + 1.84927I
4.72306 − 3.41874I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.044210 + 1.100950I
a = 1.28678 − 0.62406I
b = −0.720657 + 0.969939I
−7.91882 + 5.51597I 0
u = −0.044210 − 1.100950I
a = 1.28678 + 0.62406I
b = −0.720657 − 0.969939I
−7.91882 − 5.51597I 0
u = −0.668230 + 0.600020I
a = 0.965540 − 0.874576I
b = 0.072062 − 1.171120I
2.09455 + 2.14303I 0
u = −0.668230 − 0.600020I
a = 0.965540 + 0.874576I
b = 0.072062 + 1.171120I
2.09455 − 2.14303I 0
u = −0.704145 + 0.853571I
a = 1.059400 − 0.583116I
b = −0.844367 + 0.144764I
4.58356 − 2.69549I 0
u = −0.704145 − 0.853571I
a = 1.059400 + 0.583116I
b = −0.844367 − 0.144764I
4.58356 + 2.69549I 0
u = 0.657481 + 0.915129I
a = 1.39700 + 0.30229I
b = −0.044526 + 1.168290I
2.46284 + 2.27208I 0
u = 0.657481 − 0.915129I
a = 1.39700 − 0.30229I
b = −0.044526 − 1.168290I
2.46284 − 2.27208I 0
u = 0.603634 + 0.625438I
a = −0.95310 − 1.22694I
b = 0.917200 + 0.488596I
1.61464 − 1.48578I 0
u = 0.603634 − 0.625438I
a = −0.95310 + 1.22694I
b = 0.917200 − 0.488596I
1.61464 + 1.48578I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.930561 + 0.651530I
a = 0.0935930 − 0.0169775I
b = −0.297784 + 1.346470I
9.44491 + 1.26369I 0
u = −0.930561 − 0.651530I
a = 0.0935930 + 0.0169775I
b = −0.297784 − 1.346470I
9.44491 − 1.26369I 0
u = 0.039146 + 0.856732I
a = −0.28892 + 1.55625I
b = 0.454781 − 0.796880I
−0.95020 + 1.54615I 0
u = 0.039146 − 0.856732I
a = −0.28892 − 1.55625I
b = 0.454781 + 0.796880I
−0.95020 − 1.54615I 0
u = −0.690055 + 0.913609I
a = −1.34483 + 0.79702I
b = 1.081260 + 0.213210I
0.70739 − 6.71925I 0
u = −0.690055 − 0.913609I
a = −1.34483 − 0.79702I
b = 1.081260 − 0.213210I
0.70739 + 6.71925I 0
u = 0.594792 + 0.982560I
a = −2.26229 + 0.28907I
b = 0.79501 − 1.51106I
3.93905 + 5.86747I 0
u = 0.594792 − 0.982560I
a = −2.26229 − 0.28907I
b = 0.79501 + 1.51106I
3.93905 − 5.86747I 0
u = −0.228702 + 1.126900I
a = 1.50308 + 0.18992I
b = −0.845488 − 0.603207I
−8.99015 − 0.16187I 0
u = −0.228702 − 1.126900I
a = 1.50308 − 0.18992I
b = −0.845488 + 0.603207I
−8.99015 + 0.16187I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.075421 + 1.150460I
a = −0.62923 + 1.66673I
b = 0.143974 − 1.211900I
0.42044 + 5.23178I 0
u = 0.075421 − 1.150460I
a = −0.62923 − 1.66673I
b = 0.143974 + 1.211900I
0.42044 − 5.23178I 0
u = 0.842806 + 0.801573I
a = 0.929607 + 0.697534I
b = −0.578522 + 1.001110I
−1.36378 + 5.18885I 0
u = 0.842806 − 0.801573I
a = 0.929607 − 0.697534I
b = −0.578522 − 1.001110I
−1.36378 − 5.18885I 0
u = 0.199194 + 1.146730I
a = 0.53743 − 1.54694I
b = 0.137196 + 1.073490I
1.68007 + 0.55799I 0
u = 0.199194 − 1.146730I
a = 0.53743 + 1.54694I
b = 0.137196 − 1.073490I
1.68007 − 0.55799I 0
u = 0.790044 + 0.860801I
a = −0.367226 − 0.181117I
b = −0.366840 − 0.928566I
−1.49647 + 0.88140I 0
u = 0.790044 − 0.860801I
a = −0.367226 + 0.181117I
b = −0.366840 + 0.928566I
−1.49647 − 0.88140I 0
u = 1.015760 + 0.586708I
a = −0.0011892 + 0.0495695I
b = −0.53755 − 1.44463I
2.89061 − 12.49430I 0
u = 1.015760 − 0.586708I
a = −0.0011892 − 0.0495695I
b = −0.53755 + 1.44463I
2.89061 + 12.49430I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622172 + 0.996075I
a = 1.90904 − 0.51865I
b = −0.29135 + 1.61684I
3.74029 + 1.37980I 0
u = 0.622172 − 0.996075I
a = 1.90904 + 0.51865I
b = −0.29135 − 1.61684I
3.74029 − 1.37980I 0
u = −0.398934 + 1.105590I
a = −0.943165 + 0.353299I
b = 0.743394 + 0.242700I
−4.33976 − 3.64831I 0
u = −0.398934 − 1.105590I
a = −0.943165 − 0.353299I
b = 0.743394 − 0.242700I
−4.33976 + 3.64831I 0
u = 0.292366 + 0.769927I
a = 0.811956 + 0.272617I
b = −0.140390 − 0.142748I
−0.402159 + 1.260340I 0
u = 0.292366 − 0.769927I
a = 0.811956 − 0.272617I
b = −0.140390 + 0.142748I
−0.402159 − 1.260340I 0
u = −0.454281 + 0.669945I
a = −1.83479 + 0.78130I
b = 0.542756 + 1.087200I
0.09086 − 3.23989I 0
u = −0.454281 − 0.669945I
a = −1.83479 − 0.78130I
b = 0.542756 − 1.087200I
0.09086 + 3.23989I 0
u = 0.624887 + 1.014200I
a = −1.351130 − 0.411049I
b = 1.180930 − 0.136638I
0.42265 + 6.41847I 0
u = 0.624887 − 1.014200I
a = −1.351130 + 0.411049I
b = 1.180930 + 0.136638I
0.42265 − 6.41847I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.657253 + 0.999626I
a = 1.28231 + 0.89944I
b = −1.57124 − 0.14273I
−3.21499 + 11.29980I 0
u = 0.657253 − 0.999626I
a = 1.28231 − 0.89944I
b = −1.57124 + 0.14273I
−3.21499 − 11.29980I 0
u = 0.359010 + 0.716727I
a = 0.99737 + 1.53852I
b = 0.007714 − 0.601946I
−0.71456 + 1.67956I 0
u = 0.359010 − 0.716727I
a = 0.99737 − 1.53852I
b = 0.007714 + 0.601946I
−0.71456 − 1.67956I 0
u = 0.029242 + 1.208530I
a = −0.617405 − 0.068815I
b = 0.518957 − 0.693710I
−2.92149 + 0.37470I 0
u = 0.029242 − 1.208530I
a = −0.617405 + 0.068815I
b = 0.518957 + 0.693710I
−2.92149 − 0.37470I 0
u = −0.641742 + 1.025310I
a = −1.219180 + 0.320633I
b = 0.272366 + 1.357620I
0.82861 − 7.28008I 0
u = −0.641742 − 1.025310I
a = −1.219180 − 0.320633I
b = 0.272366 − 1.357620I
0.82861 + 7.28008I 0
u = −0.650417 + 1.024970I
a = 1.40858 − 0.74419I
b = −0.423547 − 1.244820I
−4.08815 − 11.91020I 0
u = −0.650417 − 1.024970I
a = 1.40858 + 0.74419I
b = −0.423547 + 1.244820I
−4.08815 + 11.91020I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.712723 + 0.983533I
a = −1.91868 + 0.12999I
b = 0.82808 + 1.56668I
3.81128 − 6.27944I 0
u = −0.712723 − 0.983533I
a = −1.91868 − 0.12999I
b = 0.82808 − 1.56668I
3.81128 + 6.27944I 0
u = −0.739859 + 0.248224I
a = 0.062469 − 0.205950I
b = −0.709380 − 0.399632I
−4.68508 + 2.78224I 0
u = −0.739859 − 0.248224I
a = 0.062469 + 0.205950I
b = −0.709380 + 0.399632I
−4.68508 − 2.78224I 0
u = −0.730646 + 0.981361I
a = 2.03022 − 0.35934I
b = −1.16898 − 1.37560I
3.87111 − 7.59564I 0
u = −0.730646 − 0.981361I
a = 2.03022 + 0.35934I
b = −1.16898 + 1.37560I
3.87111 + 7.59564I 0
u = 0.748859 + 0.192735I
a = −0.022514 − 0.221999I
b = 0.09408 − 1.43962I
5.23899 + 2.86926I 0
u = 0.748859 − 0.192735I
a = −0.022514 + 0.221999I
b = 0.09408 + 1.43962I
5.23899 − 2.86926I 0
u = −0.513084 + 1.129440I
a = 0.447576 − 0.877045I
b = −0.768493 + 0.291284I
−7.26639 − 7.47879I 0
u = −0.513084 − 1.129440I
a = 0.447576 + 0.877045I
b = −0.768493 − 0.291284I
−7.26639 + 7.47879I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.114740 + 0.573036I
a = 0.0348572 − 0.0139373I
b = 0.364402 + 1.365640I
7.10723 − 5.68206I 0
u = 1.114740 − 0.573036I
a = 0.0348572 + 0.0139373I
b = 0.364402 − 1.365640I
7.10723 + 5.68206I 0
u = −1.014140 + 0.774406I
a = −0.948880 + 0.643711I
b = 0.120298 + 0.808713I
−0.16481 − 5.27948I 0
u = −1.014140 − 0.774406I
a = −0.948880 − 0.643711I
b = 0.120298 − 0.808713I
−0.16481 + 5.27948I 0
u = −0.706198 + 1.071170I
a = −1.92531 − 0.04256I
b = 0.49479 + 1.39918I
5.60927 − 12.24120I 0
u = −0.706198 − 1.071170I
a = −1.92531 + 0.04256I
b = 0.49479 − 1.39918I
5.60927 + 12.24120I 0
u = −0.659368 + 1.102190I
a = 0.503311 − 0.185028I
b = 0.000749 − 1.163180I
−1.89817 − 1.13198I 0
u = −0.659368 − 1.102190I
a = 0.503311 + 0.185028I
b = 0.000749 + 1.163180I
−1.89817 + 1.13198I 0
u = −0.749231 + 1.071850I
a = 1.67926 + 0.05155I
b = −0.449989 − 1.274220I
8.12800 − 7.43565I 0
u = −0.749231 − 1.071850I
a = 1.67926 − 0.05155I
b = −0.449989 + 1.274220I
8.12800 + 7.43565I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.288070 + 0.369375I
a = −0.0080112 + 0.0321890I
b = −0.054694 − 1.120350I
1.31139 − 5.27765I 0
u = −1.288070 − 0.369375I
a = −0.0080112 − 0.0321890I
b = −0.054694 + 1.120350I
1.31139 + 5.27765I 0
u = 0.650665 + 1.179690I
a = 0.360841 + 0.066101I
b = −0.467704 − 0.497082I
−2.78768 + 1.61743I 0
u = 0.650665 − 1.179690I
a = 0.360841 − 0.066101I
b = −0.467704 + 0.497082I
−2.78768 − 1.61743I 0
u = 0.754566 + 1.133770I
a = 1.74843 + 0.01336I
b = −0.68033 + 1.47245I
1.1673 + 18.9126I 0
u = 0.754566 − 1.133770I
a = 1.74843 − 0.01336I
b = −0.68033 − 1.47245I
1.1673 − 18.9126I 0
u = 0.776635 + 1.163340I
a = −1.50875 + 0.06588I
b = 0.53692 − 1.41485I
5.21792 + 12.41060I 0
u = 0.776635 − 1.163340I
a = −1.50875 − 0.06588I
b = 0.53692 + 1.41485I
5.21792 − 12.41060I 0
u = −0.175907 + 1.393180I
a = 0.673483 + 0.999963I
b = −0.407707 − 1.079560I
−5.33783 − 10.05150I 0
u = −0.175907 − 1.393180I
a = 0.673483 − 0.999963I
b = −0.407707 + 1.079560I
−5.33783 + 10.05150I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.578654
a = 0.256151
b = 0.532399
−1.37140 −8.12570
u = 1.01643 + 1.00483I
a = 0.901709 + 0.404328I
b = −0.440602 + 1.015060I
−1.28487 + 5.42977I 0
u = 1.01643 − 1.00483I
a = 0.901709 − 0.404328I
b = −0.440602 − 1.015060I
−1.28487 − 5.42977I 0
u = 0.525454 + 0.035532I
a = 0.236737 − 1.196220I
b = −0.108337 + 1.245330I
1.41585 + 0.45643I −4.20408 + 0.77013I
u = 0.525454 − 0.035532I
a = 0.236737 + 1.196220I
b = −0.108337 − 1.245330I
1.41585 − 0.45643I −4.20408 − 0.77013I
u = 0.202916 + 0.334224I
a = 0.01219 + 1.81079I
b = 0.364651 − 0.532024I
−0.63713 + 1.57551I −3.37176 − 4.00623I
u = 0.202916 − 0.334224I
a = 0.01219 − 1.81079I
b = 0.364651 + 0.532024I
−0.63713 − 1.57551I −3.37176 + 4.00623I
u = −0.48271 + 1.56914I
a = −0.479018 − 0.568749I
b = 0.129539 + 0.976763I
−2.89912 − 2.09494I 0
u = −0.48271 − 1.56914I
a = −0.479018 + 0.568749I
b = 0.129539 − 0.976763I
−2.89912 + 2.09494I 0
u = 0.178534 + 0.024861I
a = 5.45396 + 2.58788I
b = 0.235167 − 0.613487I
1.08961 + 1.79620I 3.50879 − 3.85872I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.178534 − 0.024861I
a = 5.45396 − 2.58788I
b = 0.235167 + 0.613487I
1.08961 − 1.79620I 3.50879 + 3.85872I
u = 0.0220476 + 0.1266590I
a = −4.50146 + 12.90910I
b = −0.576354 + 0.450441I
−3.60660 + 6.09574I −4.02485 − 11.23959I
u = 0.0220476 − 0.1266590I
a = −4.50146 − 12.90910I
b = −0.576354 − 0.450441I
−3.60660 − 6.09574I −4.02485 + 11.23959I
17
II. I
u
2
= h−39u
23
− 150u
22
+ · · · + 11b + 5, 56u
23
+ 267u
22
+ · · · + 11a +
144, u
24
+ 4u
23
+ · · · + 4u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
−5.09091u
23
− 24.2727u
22
+ ··· − 45.2727u − 13.0909
3.54545u
23
+ 13.6364u
22
+ ··· + 7.63636u − 0.454545
a
5
=
−1.81818u
23
− 6.45455u
22
+ ··· + 10.5455u + 5.18182
2.54545u
23
+ 9.63636u
22
+ ··· + 15.6364u + 4.54545
a
12
=
6.27273u
23
+ 21.8182u
22
+ ··· − 0.181818u − 1.72727
−0.727273u
23
− 2.18182u
22
+ ··· − 3.18182u + 1.27273
a
10
=
−1.54545u
23
− 10.6364u
22
+ ··· − 37.6364u − 13.5455
3.54545u
23
+ 13.6364u
22
+ ··· + 7.63636u − 0.454545
a
8
=
−7.54545u
23
− 25.6364u
22
+ ··· − 22.6364u − 2.54545
−3.54545u
23
− 13.6364u
22
+ ··· − 27.6364u − 8.54545
a
4
=
−1.81818u
23
− 7.45455u
22
+ ··· + 7.54545u + 4.18182
2.54545u
23
+ 9.63636u
22
+ ··· + 16.6364u + 4.54545
a
9
=
0.727273u
23
+ 4.18182u
22
+ ··· + 19.1818u + 2.72727
−0.272727u
23
− 1.81818u
22
+ ··· − 14.8182u − 5.27273
(ii) Obstruction class = 1
(iii) Cusp Shapes =
183
11
u
23
+
670
11
u
22
+ ··· +
340
11
u −
70
11
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
24
− 12u
23
+ ··· − 12u + 1
c
2
u
24
− 4u
23
+ ··· − 4u + 1
c
3
u
24
− 7u
22
+ ··· − 2u + 1
c
4
u
24
+ 6u
23
+ ··· + 8u + 1
c
5
u
24
− 4u
23
+ ··· + 4u + 1
c
6
u
24
+ 4u
23
+ ··· + 4u + 1
c
7
u
24
− 4u
23
+ ··· + 2u + 1
c
8
u
24
− 7u
22
+ ··· + 2u + 1
c
9
u
24
+ 6u
23
+ ··· + 7u + 1
c
10
u
24
+ 4u
23
+ ··· − 2u + 1
c
11
u
24
+ 4u
23
+ ··· − 4u + 1
c
12
u
24
− 6u
23
+ ··· − 7u + 1
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
+ 8y
23
+ ··· + 24y + 1
c
2
, c
6
y
24
+ 12y
23
+ ··· + 12y + 1
c
3
, c
8
y
24
− 14y
23
+ ··· − 14y + 1
c
4
y
24
+ 2y
23
+ ··· + 12y + 1
c
5
, c
11
y
24
+ 16y
23
+ ··· + 14y + 1
c
7
, c
10
y
24
+ 20y
23
+ ··· + 10y + 1
c
9
, c
12
y
24
+ 18y
23
+ ··· − 3y + 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.611597 + 0.813694I
a = 0.11641 + 1.70002I
b = 0.007923 + 1.102440I
0.44206 + 1.95809I 2.78743 − 1.68178I
u = 0.611597 − 0.813694I
a = 0.11641 − 1.70002I
b = 0.007923 − 1.102440I
0.44206 − 1.95809I 2.78743 + 1.68178I
u = −0.733693 + 0.705714I
a = 0.352837 + 0.614432I
b = 0.81451 − 1.70784I
5.73223 + 1.99252I 4.17355 − 3.34337I
u = −0.733693 − 0.705714I
a = 0.352837 − 0.614432I
b = 0.81451 + 1.70784I
5.73223 − 1.99252I 4.17355 + 3.34337I
u = 0.611397 + 0.760742I
a = −1.57719 − 0.59367I
b = 0.442973 − 1.006840I
0.43945 + 3.77586I −0.82140 − 7.19861I
u = 0.611397 − 0.760742I
a = −1.57719 + 0.59367I
b = 0.442973 + 1.006840I
0.43945 − 3.77586I −0.82140 + 7.19861I
u = 0.356696 + 0.897403I
a = −0.395218 − 0.812692I
b = 0.498896 + 0.703562I
−0.556702 − 0.076232I −4.43370 − 0.67349I
u = 0.356696 − 0.897403I
a = −0.395218 + 0.812692I
b = 0.498896 − 0.703562I
−0.556702 + 0.076232I −4.43370 + 0.67349I
u = 0.365017 + 0.989628I
a = −0.83385 + 1.93108I
b = 0.104947 − 0.871666I
−0.54247 + 2.30604I 4.18338 − 2.62575I
u = 0.365017 − 0.989628I
a = −0.83385 − 1.93108I
b = 0.104947 + 0.871666I
−0.54247 − 2.30604I 4.18338 + 2.62575I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.052022 + 0.882585I
a = −0.85446 + 1.87766I
b = 0.470079 − 0.695301I
−0.04364 + 2.18124I −3.60279 − 4.63290I
u = 0.052022 − 0.882585I
a = −0.85446 − 1.87766I
b = 0.470079 + 0.695301I
−0.04364 − 2.18124I −3.60279 + 4.63290I
u = −0.356580 + 1.141620I
a = −0.128060 − 0.166690I
b = −0.418366 − 0.303791I
−6.06103 − 8.13258I −6.43614 + 6.28765I
u = −0.356580 − 1.141620I
a = −0.128060 + 0.166690I
b = −0.418366 + 0.303791I
−6.06103 + 8.13258I −6.43614 − 6.28765I
u = −0.697780 + 0.990941I
a = −2.09235 + 0.19843I
b = 1.05404 + 1.49140I
4.86722 − 7.48253I 2.52536 + 7.67443I
u = −0.697780 − 0.990941I
a = −2.09235 − 0.19843I
b = 1.05404 − 1.49140I
4.86722 + 7.48253I 2.52536 − 7.67443I
u = −0.204479 + 0.646867I
a = 1.01827 − 3.35456I
b = −0.679192 + 0.297749I
−3.99282 + 5.60928I −11.99628 − 1.79914I
u = −0.204479 − 0.646867I
a = 1.01827 + 3.35456I
b = −0.679192 − 0.297749I
−3.99282 − 5.60928I −11.99628 + 1.79914I
u = −1.120150 + 0.751735I
a = 0.708592 − 0.721148I
b = −0.414350 − 0.788427I
−0.75272 − 5.98771I −4.8707 + 13.5332I
u = −1.120150 − 0.751735I
a = 0.708592 + 0.721148I
b = −0.414350 + 0.788427I
−0.75272 + 5.98771I −4.8707 − 13.5332I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.371341 + 0.383245I
a = −1.32170 + 0.71351I
b = 0.16832 + 1.72632I
4.26144 − 2.68976I −5.77212 + 1.21347I
u = −0.371341 − 0.383245I
a = −1.32170 − 0.71351I
b = 0.16832 − 1.72632I
4.26144 + 2.68976I −5.77212 − 1.21347I
u = −0.51270 + 1.46373I
a = 0.0067233 + 0.0528660I
b = −0.049781 + 0.631929I
−3.79302 − 1.47864I −16.2366 + 1.3982I
u = −0.51270 − 1.46373I
a = 0.0067233 − 0.0528660I
b = −0.049781 − 0.631929I
−3.79302 + 1.47864I −16.2366 − 1.3982I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 12u
23
+ ··· − 12u + 1)(u
123
+ 47u
122
+ ··· − 78u − 1)
c
2
(u
24
− 4u
23
+ ··· − 4u + 1)(u
123
− u
122
+ ··· − 20u + 1)
c
3
(u
24
− 7u
22
+ ··· − 2u + 1)(u
123
− u
122
+ ··· − 96274u + 98677)
c
4
(u
24
+ 6u
23
+ ··· + 8u + 1)(u
123
− 3u
122
+ ··· − 639124u + 39811)
c
5
(u
24
− 4u
23
+ ··· + 4u + 1)(u
123
+ 5u
122
+ ··· + 1222892u + 197593)
c
6
(u
24
+ 4u
23
+ ··· + 4u + 1)(u
123
− u
122
+ ··· − 20u + 1)
c
7
(u
24
− 4u
23
+ ··· + 2u + 1)(u
123
− 5u
122
+ ··· − 16144u + 3433)
c
8
(u
24
− 7u
22
+ ··· + 2u + 1)(u
123
− u
122
+ ··· − 96274u + 98677)
c
9
(u
24
+ 6u
23
+ ··· + 7u + 1)(u
123
+ 5u
122
+ ··· − 10837u + 889)
c
10
(u
24
+ 4u
23
+ ··· − 2u + 1)(u
123
− 5u
122
+ ··· − 16144u + 3433)
c
11
(u
24
+ 4u
23
+ ··· − 4u + 1)(u
123
+ 5u
122
+ ··· + 1222892u + 197593)
c
12
(u
24
− 6u
23
+ ··· − 7u + 1)(u
123
+ 5u
122
+ ··· − 10837u + 889)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
24
+ 8y
23
+ ··· + 24y + 1)(y
123
+ 67y
122
+ ··· + 7218y −1)
c
2
, c
6
(y
24
+ 12y
23
+ ··· + 12y + 1)(y
123
+ 47y
122
+ ··· − 78y −1)
c
3
, c
8
(y
24
− 14y
23
+ ··· − 14y + 1)
· (y
123
− 79y
122
+ ··· + 21540154796y −9737150329)
c
4
(y
24
+ 2y
23
+ ··· + 12y + 1)
· (y
123
− 23y
122
+ ··· + 63443203538y −1584915721)
c
5
, c
11
(y
24
+ 16y
23
+ ··· + 14y + 1)
· (y
123
+ 91y
122
+ ··· − 210187966472y −39042993649)
c
7
, c
10
(y
24
+ 20y
23
+ ··· + 10y + 1)
· (y
123
+ 91y
122
+ ··· − 3783445264y −11785489)
c
9
, c
12
(y
24
+ 18y
23
+ ··· − 3y + 1)
· (y
123
+ 81y
122
+ ··· − 9554859y −790321)
27
