12a
0614
(K12a
0614
)
A knot diagram
1
Linearized knot diagam
3 7 9 1 11 2 5 4 12 6 10 8
Solving Sequence
2,6
7
3,10
11 12 1 5 8 4 9
c
6
c
2
c
10
c
11
c
1
c
5
c
7
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.92933 × 10
370
u
134
− 5.89479 × 10
371
u
133
+ ··· + 7.41919 × 10
372
b + 1.34218 × 10
374
,
− 1.76780 × 10
374
u
134
+ 9.66876 × 10
373
u
133
+ ··· + 1.23900 × 10
375
a + 4.89956 × 10
376
,
u
135
− u
134
+ ··· + 885u + 167i
I
u
2
= h7u
27
− 42u
25
+ ··· + 16u
3
+ b, 18u
27
+ 3u
26
+ ··· + a + 18, u
28
− 7u
26
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 163 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
= h3.93 × 10
370
u
134
− 5.89 × 10
371
u
133
+ · · · + 7.42 × 10
372
b + 1.34 ×
10
374
, −1.77 × 10
374
u
134
+ 9.67 × 10
373
u
133
+ · · · + 1.24 × 10
375
a + 4.90 ×
10
376
, u
135
− u
134
+ · · · + 885u + 167i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
0.142679u
134
− 0.0780365u
133
+ ··· − 229.717u − 39.5443
−0.00529617u
134
+ 0.0794533u
133
+ ··· − 109.718u − 18.0906
a
11
=
0.137383u
134
+ 0.00141679u
133
+ ··· − 339.435u − 57.6350
−0.00529617u
134
+ 0.0794533u
133
+ ··· − 109.718u − 18.0906
a
12
=
0.194027u
134
− 0.207818u
133
+ ··· − 154.835u − 20.4301
0.0171057u
134
+ 0.137564u
133
+ ··· − 258.968u − 42.2172
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
0.0205101u
134
+ 0.0101705u
133
+ ··· + 111.884u + 22.4781
0.0705745u
134
− 0.0503292u
133
+ ··· + 34.2145u + 5.86546
a
8
=
0.182694u
134
− 0.204743u
133
+ ··· − 91.6431u − 11.8583
0.0395044u
134
+ 0.0248050u
133
+ ··· − 154.329u − 23.1275
a
4
=
−0.0347015u
134
+ 0.0132842u
133
+ ··· + 141.961u + 26.9193
0.0488055u
134
− 0.0622889u
133
+ ··· + 41.3893u + 6.84940
a
9
=
0.0665998u
134
− 0.110583u
133
+ ··· + 4.15920u − 3.32764
−0.0825305u
134
+ 0.0961945u
133
+ ··· + 31.4168u + 5.45217
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.591980u
134
− 0.176380u
133
+ ··· − 933.156u − 154.184
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
135
+ 55u
134
+ ··· + 544081u + 27889
c
2
, c
6
u
135
− u
134
+ ··· + 885u + 167
c
3
, c
8
u
135
− u
134
+ ··· + 8241u + 1341
c
4
u
135
− 3u
134
+ ··· − 54u + 1
c
5
, c
10
u
135
+ u
134
+ ··· + 315u + 43
c
7
u
135
− 4u
134
+ ··· − 3344250u + 838321
c
9
, c
11
u
135
+ 43u
134
+ ··· − 46545u − 1849
c
12
u
135
− 3u
134
+ ··· + 44u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
135
+ 65y
134
+ ··· − 226517556159y −777796321
c
2
, c
6
y
135
− 55y
134
+ ··· + 544081y −27889
c
3
, c
8
y
135
+ 79y
134
+ ··· − 103538133y −1798281
c
4
y
135
− 11y
134
+ ··· + 230y −1
c
5
, c
10
y
135
+ 43y
134
+ ··· − 46545y −1849
c
7
y
135
+ 30y
134
+ ··· − 25519271420832y −702782099041
c
9
, c
11
y
135
+ 111y
134
+ ··· + 44824163y −3418801
c
12
y
135
− 5y
134
+ ··· − 346y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.837846 + 0.549307I
a = 3.47986 + 0.41455I
b = −0.727872 + 0.868167I
0.488345 − 1.251270I 0
u = 0.837846 − 0.549307I
a = 3.47986 − 0.41455I
b = −0.727872 − 0.868167I
0.488345 + 1.251270I 0
u = 0.738899 + 0.681368I
a = −0.945762 − 0.131379I
b = 0.645324 − 0.176703I
2.85702 − 0.94017I 0
u = 0.738899 − 0.681368I
a = −0.945762 + 0.131379I
b = 0.645324 + 0.176703I
2.85702 + 0.94017I 0
u = −0.801992 + 0.582367I
a = 1.77385 + 0.10818I
b = −0.946357 − 0.853076I
5.44949 + 4.76272I 0
u = −0.801992 − 0.582367I
a = 1.77385 − 0.10818I
b = −0.946357 + 0.853076I
5.44949 − 4.76272I 0
u = 0.569934 + 0.836668I
a = 1.45649 − 0.70116I
b = −0.848678 + 0.794378I
7.77386 + 0.60727I 0
u = 0.569934 − 0.836668I
a = 1.45649 + 0.70116I
b = −0.848678 − 0.794378I
7.77386 − 0.60727I 0
u = −0.521046 + 0.834885I
a = 1.66324 − 0.38714I
b = −0.784742 + 0.975593I
7.21061 − 6.69518I 0
u = −0.521046 − 0.834885I
a = 1.66324 + 0.38714I
b = −0.784742 − 0.975593I
7.21061 + 6.69518I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.015020 + 0.089474I
a = −0.443199 − 0.837408I
b = 0.690637 + 0.366255I
−4.17899 + 2.70950I 0
u = 1.015020 − 0.089474I
a = −0.443199 + 0.837408I
b = 0.690637 − 0.366255I
−4.17899 − 2.70950I 0
u = −0.772593 + 0.591990I
a = 0.98832 − 2.34518I
b = −0.725888 + 0.881649I
0.44638 − 4.29353I 0
u = −0.772593 − 0.591990I
a = 0.98832 + 2.34518I
b = −0.725888 − 0.881649I
0.44638 + 4.29353I 0
u = 0.879122 + 0.553894I
a = −1.47816 − 1.86865I
b = 0.785743 + 0.814817I
0.34887 − 3.16762I 0
u = 0.879122 − 0.553894I
a = −1.47816 + 1.86865I
b = 0.785743 − 0.814817I
0.34887 + 3.16762I 0
u = −0.247760 + 0.918909I
a = 1.74816 + 0.53629I
b = −0.823192 − 0.895739I
6.21835 + 3.18298I 0
u = −0.247760 − 0.918909I
a = 1.74816 − 0.53629I
b = −0.823192 + 0.895739I
6.21835 − 3.18298I 0
u = 0.986857 + 0.374682I
a = 0.11667 − 1.73761I
b = −0.052535 − 1.031140I
−6.17843 − 1.22320I 0
u = 0.986857 − 0.374682I
a = 0.11667 + 1.73761I
b = −0.052535 + 1.031140I
−6.17843 + 1.22320I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.198122 + 0.921347I
a = 1.58183 + 0.70299I
b = −0.819161 − 0.899719I
6.20339 + 2.94822I 0
u = 0.198122 − 0.921347I
a = 1.58183 − 0.70299I
b = −0.819161 + 0.899719I
6.20339 − 2.94822I 0
u = 0.900622 + 0.258632I
a = −1.69639 − 2.72780I
b = −0.058372 − 0.785928I
−3.18317 + 1.73612I 0
u = 0.900622 − 0.258632I
a = −1.69639 + 2.72780I
b = −0.058372 + 0.785928I
−3.18317 − 1.73612I 0
u = 0.923325 + 0.113739I
a = 1.10579 + 2.21213I
b = −0.320453 + 0.887390I
−3.72106 − 2.39646I 0
u = 0.923325 − 0.113739I
a = 1.10579 − 2.21213I
b = −0.320453 − 0.887390I
−3.72106 + 2.39646I 0
u = 1.028760 + 0.297636I
a = 1.45891 + 0.31108I
b = −0.211476 − 0.392322I
−3.81731 − 3.79382I 0
u = 1.028760 − 0.297636I
a = 1.45891 − 0.31108I
b = −0.211476 + 0.392322I
−3.81731 + 3.79382I 0
u = −0.856282 + 0.644920I
a = −0.935673 + 0.291087I
b = −0.028328 + 1.233560I
−1.77111 + 2.51661I 0
u = −0.856282 − 0.644920I
a = −0.935673 − 0.291087I
b = −0.028328 − 1.233560I
−1.77111 − 2.51661I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.761538 + 0.520822I
a = 1.065400 + 0.896290I
b = −0.884082 − 0.986812I
5.03019 + 1.92758I 0
u = 0.761538 − 0.520822I
a = 1.065400 − 0.896290I
b = −0.884082 + 0.986812I
5.03019 − 1.92758I 0
u = 0.861221 + 0.319500I
a = −0.89814 + 1.16750I
b = 0.675323 + 1.002060I
−1.70069 + 4.51817I 0
u = 0.861221 − 0.319500I
a = −0.89814 − 1.16750I
b = 0.675323 − 1.002060I
−1.70069 − 4.51817I 0
u = −0.751154 + 0.780296I
a = −1.059250 + 0.743059I
b = 0.769638 − 1.038270I
4.31054 − 4.50108I 0
u = −0.751154 − 0.780296I
a = −1.059250 − 0.743059I
b = 0.769638 + 1.038270I
4.31054 + 4.50108I 0
u = −0.583906 + 0.704669I
a = 0.994060 − 0.654478I
b = −0.807640 − 0.029711I
0.64232 − 3.58642I 0
u = −0.583906 − 0.704669I
a = 0.994060 + 0.654478I
b = −0.807640 + 0.029711I
0.64232 + 3.58642I 0
u = −1.088150 + 0.046799I
a = 0.007861 − 0.437998I
b = 0.739339 − 0.837483I
1.61109 − 0.51782I 0
u = −1.088150 − 0.046799I
a = 0.007861 + 0.437998I
b = 0.739339 + 0.837483I
1.61109 + 0.51782I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.408397 + 0.813659I
a = 0.144674 + 0.121440I
b = −0.299766 − 1.080180I
−2.87341 + 7.30102I 0
u = 0.408397 − 0.813659I
a = 0.144674 − 0.121440I
b = −0.299766 + 1.080180I
−2.87341 − 7.30102I 0
u = −0.900828 + 0.617380I
a = −0.259939 + 1.214590I
b = 0.914727 − 0.770669I
5.11294 − 0.01279I 0
u = −0.900828 − 0.617380I
a = −0.259939 − 1.214590I
b = 0.914727 + 0.770669I
5.11294 + 0.01279I 0
u = −0.822721 + 0.380864I
a = −0.243214 + 0.016316I
b = 0.728615 + 0.639865I
−0.643269 + 0.860111I 0
u = −0.822721 − 0.380864I
a = −0.243214 − 0.016316I
b = 0.728615 − 0.639865I
−0.643269 − 0.860111I 0
u = −0.922603 + 0.587180I
a = −2.95088 − 0.29973I
b = 0.753223 + 0.938531I
−0.03377 + 8.97195I 0
u = −0.922603 − 0.587180I
a = −2.95088 + 0.29973I
b = 0.753223 − 0.938531I
−0.03377 − 8.97195I 0
u = −1.062180 + 0.261883I
a = −1.70287 + 0.83819I
b = 0.497158 + 1.060170I
−6.30678 + 1.84535I 0
u = −1.062180 − 0.261883I
a = −1.70287 − 0.83819I
b = 0.497158 − 1.060170I
−6.30678 − 1.84535I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.107250 + 0.035734I
a = −0.495103 + 1.209300I
b = 0.733878 + 0.906815I
1.40011 + 5.08875I 0
u = 1.107250 − 0.035734I
a = −0.495103 − 1.209300I
b = 0.733878 − 0.906815I
1.40011 − 5.08875I 0
u = 0.953368 + 0.572242I
a = −2.18044 − 0.91967I
b = 0.810679 − 1.014940I
4.34858 − 6.34502I 0
u = 0.953368 − 0.572242I
a = −2.18044 + 0.91967I
b = 0.810679 + 1.014940I
4.34858 + 6.34502I 0
u = −0.546878 + 0.968527I
a = −1.57642 − 0.50198I
b = 0.889697 + 0.747015I
5.03853 − 6.68272I 0
u = −0.546878 − 0.968527I
a = −1.57642 + 0.50198I
b = 0.889697 − 0.747015I
5.03853 + 6.68272I 0
u = 0.809457 + 0.769869I
a = −1.65062 + 0.12823I
b = 0.883741 − 0.702760I
5.33849 − 1.63229I 0
u = 0.809457 − 0.769869I
a = −1.65062 − 0.12823I
b = 0.883741 + 0.702760I
5.33849 + 1.63229I 0
u = −0.942886 + 0.599438I
a = −0.809607 + 0.966035I
b = 0.050884 + 0.906797I
−1.00262 + 2.60826I 0
u = −0.942886 − 0.599438I
a = −0.809607 − 0.966035I
b = 0.050884 − 0.906797I
−1.00262 − 2.60826I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512297 + 1.000230I
a = −1.48358 − 0.53876I
b = 0.782382 + 1.019350I
4.18815 + 12.87770I 0
u = 0.512297 − 1.000230I
a = −1.48358 + 0.53876I
b = 0.782382 − 1.019350I
4.18815 − 12.87770I 0
u = −0.873494
a = −0.241858
b = −0.385300
−1.60500 0
u = 0.990679 + 0.557826I
a = 0.147944 + 0.284062I
b = 0.356353 + 1.220020I
−4.52529 − 4.27752I 0
u = 0.990679 − 0.557826I
a = 0.147944 − 0.284062I
b = 0.356353 − 1.220020I
−4.52529 + 4.27752I 0
u = −0.710690 + 0.480340I
a = −0.414232 + 1.089740I
b = −0.434090 + 0.746331I
−0.19106 + 2.03705I 0
u = −0.710690 − 0.480340I
a = −0.414232 − 1.089740I
b = −0.434090 − 0.746331I
−0.19106 − 2.03705I 0
u = 0.934076 + 0.664817I
a = 0.554498 + 0.652392I
b = −0.628288 − 0.047339I
2.27294 − 4.26108I 0
u = 0.934076 − 0.664817I
a = 0.554498 − 0.652392I
b = −0.628288 + 0.047339I
2.27294 + 4.26108I 0
u = −1.030690 + 0.535424I
a = 0.296703 − 0.090559I
b = −0.553915 + 0.288517I
−2.01508 + 2.69284I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.030690 − 0.535424I
a = 0.296703 + 0.090559I
b = −0.553915 − 0.288517I
−2.01508 − 2.69284I 0
u = −1.001540 + 0.589241I
a = 1.50809 − 1.40878I
b = −0.232258 − 1.006970I
−0.82402 + 7.17042I 0
u = −1.001540 − 0.589241I
a = 1.50809 + 1.40878I
b = −0.232258 + 1.006970I
−0.82402 − 7.17042I 0
u = 0.683918 + 0.481571I
a = 1.76761 + 0.91991I
b = −0.243416 + 1.195690I
−3.47632 − 0.06082I 0
u = 0.683918 − 0.481571I
a = 1.76761 − 0.91991I
b = −0.243416 − 1.195690I
−3.47632 + 0.06082I 0
u = −0.576307 + 0.605495I
a = −0.628781 − 0.421348I
b = 0.317220 − 0.944877I
0.41091 − 2.40943I 0
u = −0.576307 − 0.605495I
a = −0.628781 + 0.421348I
b = 0.317220 + 0.944877I
0.41091 + 2.40943I 0
u = 0.915712 + 0.732937I
a = 0.616361 + 1.194120I
b = −0.900460 − 0.639307I
5.00727 − 4.04437I 0
u = 0.915712 − 0.732937I
a = 0.616361 − 1.194120I
b = −0.900460 + 0.639307I
5.00727 + 4.04437I 0
u = −1.062460 + 0.500568I
a = 2.14397 − 0.51017I
b = −0.127740 − 0.855162I
−5.29829 + 5.19403I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.062460 − 0.500568I
a = 2.14397 + 0.51017I
b = −0.127740 + 0.855162I
−5.29829 − 5.19403I 0
u = −0.960901 + 0.717724I
a = 2.22511 − 0.54786I
b = −0.750150 − 1.078180I
3.66546 + 10.15880I 0
u = −0.960901 − 0.717724I
a = 2.22511 + 0.54786I
b = −0.750150 + 1.078180I
3.66546 − 10.15880I 0
u = 1.134910 + 0.405474I
a = 0.90419 + 1.47896I
b = −0.642270 + 0.922379I
−2.96795 − 6.55687I 0
u = 1.134910 − 0.405474I
a = 0.90419 − 1.47896I
b = −0.642270 − 0.922379I
−2.96795 + 6.55687I 0
u = −1.024370 + 0.637294I
a = −0.820719 + 0.505993I
b = 0.899893 + 0.066855I
−0.65690 + 8.76915I 0
u = −1.024370 − 0.637294I
a = −0.820719 − 0.505993I
b = 0.899893 − 0.066855I
−0.65690 − 8.76915I 0
u = −1.153770 + 0.444884I
a = −0.422033 + 0.245986I
b = −0.650349 + 0.837693I
−2.69484 + 1.53947I 0
u = −1.153770 − 0.444884I
a = −0.422033 − 0.245986I
b = −0.650349 − 0.837693I
−2.69484 − 1.53947I 0
u = −0.592443 + 1.086910I
a = −1.41991 + 0.53113I
b = 0.774626 − 0.859232I
4.77894 + 0.45267I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.592443 − 1.086910I
a = −1.41991 − 0.53113I
b = 0.774626 + 0.859232I
4.77894 − 0.45267I 0
u = −0.054885 + 0.750979I
a = −0.982064 − 0.151947I
b = 0.705365 + 0.878939I
0.54159 + 2.70298I −4.00000 − 3.06390I
u = −0.054885 − 0.750979I
a = −0.982064 + 0.151947I
b = 0.705365 − 0.878939I
0.54159 − 2.70298I −4.00000 + 3.06390I
u = −1.254810 + 0.086935I
a = 0.304737 − 1.114830I
b = 0.127612 − 1.038370I
−8.51866 − 4.64065I 0
u = −1.254810 − 0.086935I
a = 0.304737 + 1.114830I
b = 0.127612 + 1.038370I
−8.51866 + 4.64065I 0
u = 1.069060 + 0.679445I
a = −0.140517 − 1.218130I
b = 0.847336 + 0.749850I
6.25878 − 6.27171I 0
u = 1.069060 − 0.679445I
a = −0.140517 + 1.218130I
b = 0.847336 − 0.749850I
6.25878 + 6.27171I 0
u = 1.104370 + 0.629280I
a = −1.26415 − 0.82417I
b = 0.276967 − 1.164500I
−4.89583 − 12.67280I 0
u = 1.104370 − 0.629280I
a = −1.26415 + 0.82417I
b = 0.276967 + 1.164500I
−4.89583 + 12.67280I 0
u = −1.090360 + 0.659240I
a = −2.25378 + 1.03744I
b = 0.762662 + 0.999424I
5.48667 + 12.28060I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.090360 − 0.659240I
a = −2.25378 − 1.03744I
b = 0.762662 − 0.999424I
5.48667 − 12.28060I 0
u = 0.855915 + 0.946372I
a = 0.276920 − 0.109031I
b = −0.069775 + 0.745002I
−0.17056 − 3.40106I 0
u = 0.855915 − 0.946372I
a = 0.276920 + 0.109031I
b = −0.069775 − 0.745002I
−0.17056 + 3.40106I 0
u = 0.657174 + 1.102080I
a = −1.60995 + 0.41140I
b = 0.762457 − 0.901852I
4.64611 − 6.25368I 0
u = 0.657174 − 1.102080I
a = −1.60995 − 0.41140I
b = 0.762457 + 0.901852I
4.64611 + 6.25368I 0
u = 0.673428 + 0.129119I
a = −0.36445 + 1.80930I
b = −0.602808 + 0.996059I
−1.27128 − 6.58046I −5.57818 + 9.58377I
u = 0.673428 − 0.129119I
a = −0.36445 − 1.80930I
b = −0.602808 − 0.996059I
−1.27128 + 6.58046I −5.57818 − 9.58377I
u = −0.468380 + 0.490538I
a = −0.428854 + 0.629875I
b = −0.422370 + 0.485088I
−0.12335 + 2.02633I −1.81995 − 3.09268I
u = −0.468380 − 0.490538I
a = −0.428854 − 0.629875I
b = −0.422370 − 0.485088I
−0.12335 − 2.02633I −1.81995 + 3.09268I
u = 1.222430 + 0.507927I
a = 0.901635 + 1.067490I
b = −0.315255 + 0.815593I
−3.54988 − 5.88834I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.222430 − 0.507927I
a = 0.901635 − 1.067490I
b = −0.315255 − 0.815593I
−3.54988 + 5.88834I 0
u = −1.124450 + 0.720853I
a = 0.447818 − 1.098490I
b = −0.919777 + 0.714233I
3.24675 + 12.83940I 0
u = −1.124450 − 0.720853I
a = 0.447818 + 1.098490I
b = −0.919777 − 0.714233I
3.24675 − 12.83940I 0
u = −0.049467 + 0.655701I
a = −0.746773 + 0.282440I
b = 0.358215 + 0.522250I
0.12571 + 1.44748I 0.98140 − 4.84063I
u = −0.049467 − 0.655701I
a = −0.746773 − 0.282440I
b = 0.358215 − 0.522250I
0.12571 − 1.44748I 0.98140 + 4.84063I
u = 1.151120 + 0.718010I
a = 2.10994 + 0.70002I
b = −0.779988 + 1.047910I
2.2018 − 19.1078I 0
u = 1.151120 − 0.718010I
a = 2.10994 − 0.70002I
b = −0.779988 − 1.047910I
2.2018 + 19.1078I 0
u = −0.401560 + 0.492664I
a = −1.58216 + 1.08063I
b = −0.032625 − 0.835482I
−3.38867 − 0.99482I −10.07383 + 1.16774I
u = −0.401560 − 0.492664I
a = −1.58216 − 1.08063I
b = −0.032625 + 0.835482I
−3.38867 + 0.99482I −10.07383 − 1.16774I
u = −1.097490 + 0.820738I
a = 2.07504 − 0.42675I
b = −0.729126 − 0.899111I
3.24610 + 6.33780I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.097490 − 0.820738I
a = 2.07504 + 0.42675I
b = −0.729126 + 0.899111I
3.24610 − 6.33780I 0
u = 1.370070 + 0.126708I
a = 0.583843 − 0.197013I
b = −0.762509 − 0.739399I
−2.55274 − 4.27611I 0
u = 1.370070 − 0.126708I
a = 0.583843 + 0.197013I
b = −0.762509 + 0.739399I
−2.55274 + 4.27611I 0
u = 1.070410 + 0.876427I
a = 0.715657 + 0.975087I
b = −0.735732 − 0.852521I
3.39082 − 0.75782I 0
u = 1.070410 − 0.876427I
a = 0.715657 − 0.975087I
b = −0.735732 + 0.852521I
3.39082 + 0.75782I 0
u = −0.374673 + 0.456666I
a = −0.891817 + 0.362912I
b = 0.353608 + 0.704334I
−0.20172 + 1.40318I −2.20499 − 4.71222I
u = −0.374673 − 0.456666I
a = −0.891817 − 0.362912I
b = 0.353608 − 0.704334I
−0.20172 − 1.40318I −2.20499 + 4.71222I
u = −1.407960 + 0.061965I
a = 0.818152 − 0.594108I
b = −0.723651 − 0.978919I
−3.27568 + 9.92697I 0
u = −1.407960 − 0.061965I
a = 0.818152 + 0.594108I
b = −0.723651 + 0.978919I
−3.27568 − 9.92697I 0
u = −1.21309 + 0.74985I
a = −0.689409 + 0.789660I
b = 0.835672 − 0.835560I
3.40704 + 3.10784I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.21309 − 0.74985I
a = −0.689409 − 0.789660I
b = 0.835672 + 0.835560I
3.40704 − 3.10784I 0
u = 1.25978 + 0.73154I
a = −1.82844 − 0.40908I
b = 0.796937 − 0.947480I
3.05788 − 9.20261I 0
u = 1.25978 − 0.73154I
a = −1.82844 + 0.40908I
b = 0.796937 + 0.947480I
3.05788 + 9.20261I 0
u = −0.177069 + 0.228757I
a = 0.37500 − 4.55706I
b = −0.238165 + 0.943505I
−3.58469 + 0.66676I −10.42977 − 1.76887I
u = −0.177069 − 0.228757I
a = 0.37500 + 4.55706I
b = −0.238165 − 0.943505I
−3.58469 − 0.66676I −10.42977 + 1.76887I
18
II. I
u
2
=
h7u
27
−42u
25
+· · ·+16u
3
+b, 18u
27
+3u
26
+· · ·+a+18, u
28
−7u
26
+· · ·+u+1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
−18u
27
− 3u
26
+ ··· + 17u − 18
−7u
27
+ 42u
25
+ ··· − 17u
4
− 16u
3
a
11
=
−25u
27
− 3u
26
+ ··· + 17u − 18
−7u
27
+ 42u
25
+ ··· − 17u
4
− 16u
3
a
12
=
−18u
27
+ 2u
26
+ ··· + 28u − 7
−7u
27
+ 42u
25
+ ··· + 5u + 5
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
7u
27
− 43u
25
+ ··· − 13u + 1
6u
27
− 36u
25
+ ··· − u − 1
a
8
=
−2u
27
+ 12u
26
+ ··· − 16u − 24
11u
26
− u
25
+ ··· − 17u − 11
a
4
=
6u
27
− 37u
25
+ ··· − 13u + 1
6u
27
− 36u
25
+ ··· + 16u
3
− 1
a
9
=
−u
27
+ u
26
+ ··· − u − 7
u
27
− 7u
25
+ ··· − 31u
2
+ 6
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −46u
27
− 15u
26
+ 299u
25
+ 50u
24
− 1146u
23
− 62u
22
+ 3025u
21
− 109u
20
− 6005u
19
+
626u
18
+ 9264u
17
− 1414u
16
− 11442u
15
+ 2006u
14
+ 11384u
13
− 2028u
12
− 9229u
11
+
1510u
10
+ 6139u
9
−807u
8
−3424u
7
+ 231u
6
+ 1500u
5
+ 37u
4
−445u
3
−71u
2
+ 62u + 14
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
28
− 14u
27
+ ··· − 15u + 1
c
2
u
28
− 7u
26
+ ··· − u + 1
c
3
u
28
+ 10u
26
+ ··· − u + 1
c
4
u
28
+ 6u
27
+ ··· − 4u
2
+ 1
c
5
u
28
+ 6u
26
+ ··· + u + 1
c
6
u
28
− 7u
26
+ ··· + u + 1
c
7
u
28
+ u
27
+ ··· − 2u + 1
c
8
u
28
+ 10u
26
+ ··· + u + 1
c
9
u
28
− 12u
27
+ ··· − 19u + 1
c
10
u
28
+ 6u
26
+ ··· − u + 1
c
11
u
28
+ 12u
27
+ ··· + 19u + 1
c
12
u
28
+ 4u
27
+ ··· − 4u + 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 14y
27
+ ··· + 5y + 1
c
2
, c
6
y
28
− 14y
27
+ ··· − 15y + 1
c
3
, c
8
y
28
+ 20y
27
+ ··· + 27y + 1
c
4
y
28
− 2y
27
+ ··· − 8y + 1
c
5
, c
10
y
28
+ 12y
27
+ ··· + 19y + 1
c
7
y
28
− 9y
27
+ ··· + 2y + 1
c
9
, c
11
y
28
+ 20y
27
+ ··· − 13y + 1
c
12
y
28
− 4y
27
+ ··· − 12y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.853384 + 0.664222I
a = −0.921383 + 0.258055I
b = −0.055540 + 1.152000I
−2.15467 + 2.58168I −15.4577 − 5.3068I
u = −0.853384 − 0.664222I
a = −0.921383 − 0.258055I
b = −0.055540 − 1.152000I
−2.15467 − 2.58168I −15.4577 + 5.3068I
u = 0.537923 + 0.717505I
a = −1.99323 + 0.20226I
b = 0.869642 − 0.869300I
5.43172 − 3.57143I −2.98977 + 3.30245I
u = 0.537923 − 0.717505I
a = −1.99323 − 0.20226I
b = 0.869642 + 0.869300I
5.43172 + 3.57143I −2.98977 − 3.30245I
u = 1.031470 + 0.394259I
a = −0.450658 + 0.292084I
b = 0.253524 + 0.965914I
−5.17749 − 2.73582I −11.73220 + 2.21047I
u = 1.031470 − 0.394259I
a = −0.450658 − 0.292084I
b = 0.253524 − 0.965914I
−5.17749 + 2.73582I −11.73220 − 2.21047I
u = 1.090380 + 0.316011I
a = −0.295171 − 1.029100I
b = 0.645164 − 0.927138I
−2.68784 − 7.50140I −8.12652 + 10.76502I
u = 1.090380 − 0.316011I
a = −0.295171 + 1.029100I
b = 0.645164 + 0.927138I
−2.68784 + 7.50140I −8.12652 − 10.76502I
u = −1.120860 + 0.329178I
a = −0.067572 − 0.968275I
b = 0.655538 − 0.798001I
−2.27516 + 2.43520I −6.89671 − 3.43524I
u = −1.120860 − 0.329178I
a = −0.067572 + 0.968275I
b = 0.655538 + 0.798001I
−2.27516 − 2.43520I −6.89671 + 3.43524I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.748185 + 0.343846I
a = 2.22988 + 1.79124I
b = −0.238931 + 1.062580I
−4.09327 − 0.37099I −13.59106 + 3.12265I
u = 0.748185 − 0.343846I
a = 2.22988 − 1.79124I
b = −0.238931 − 1.062580I
−4.09327 + 0.37099I −13.59106 − 3.12265I
u = 0.776045 + 0.214980I
a = 0.38031 − 2.21138I
b = −0.643350 − 0.967561I
−1.37394 + 5.26603I −7.23259 − 7.22757I
u = 0.776045 − 0.214980I
a = 0.38031 + 2.21138I
b = −0.643350 + 0.967561I
−1.37394 − 5.26603I −7.23259 + 7.22757I
u = 0.832341 + 0.859052I
a = 0.047412 + 0.407998I
b = −0.069032 + 0.532020I
0.43105 − 3.19291I 3.46551 + 4.89112I
u = 0.832341 − 0.859052I
a = 0.047412 − 0.407998I
b = −0.069032 − 0.532020I
0.43105 + 3.19291I 3.46551 − 4.89112I
u = −1.120250 + 0.425286I
a = −1.80356 + 1.04784I
b = 0.269140 + 0.713663I
−4.21536 + 5.05069I −9.66651 − 6.13377I
u = −1.120250 − 0.425286I
a = −1.80356 − 1.04784I
b = 0.269140 − 0.713663I
−4.21536 − 5.05069I −9.66651 + 6.13377I
u = −0.507051 + 0.619888I
a = −1.22357 + 1.17769I
b = 0.854058 − 0.944793I
5.20778 − 2.80858I −2.47118 + 3.99824I
u = −0.507051 − 0.619888I
a = −1.22357 − 1.17769I
b = 0.854058 + 0.944793I
5.20778 + 2.80858I −2.47118 − 3.99824I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.736353 + 0.196912I
a = −1.207980 − 0.207227I
b = −0.656573 − 0.740205I
−0.655155 − 0.190217I −7.57670 + 2.36942I
u = −0.736353 − 0.196912I
a = −1.207980 + 0.207227I
b = −0.656573 + 0.740205I
−0.655155 + 0.190217I −7.57670 − 2.36942I
u = −0.635766 + 0.271311I
a = 1.45686 − 2.51592I
b = −0.289866 + 0.585639I
−2.24709 − 1.99325I −2.97836 + 3.98199I
u = −0.635766 − 0.271311I
a = 1.45686 + 2.51592I
b = −0.289866 − 0.585639I
−2.24709 + 1.99325I −2.97836 − 3.98199I
u = 1.047480 + 0.810442I
a = 0.815180 + 0.964801I
b = −0.817347 − 0.793291I
3.89299 − 2.42778I −0.195076 + 1.065798I
u = 1.047480 − 0.810442I
a = 0.815180 − 0.964801I
b = −0.817347 + 0.793291I
3.89299 + 2.42778I −0.195076 − 1.065798I
u = −1.090150 + 0.754545I
a = 2.03347 − 0.35200I
b = −0.776426 − 0.974996I
3.33670 + 8.40990I −2.55111 − 5.17401I
u = −1.090150 − 0.754545I
a = 2.03347 + 0.35200I
b = −0.776426 + 0.974996I
3.33670 − 8.40990I −2.55111 + 5.17401I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 14u
27
+ ··· − 15u + 1)(u
135
+ 55u
134
+ ··· + 544081u + 27889)
c
2
(u
28
− 7u
26
+ ··· − u + 1)(u
135
− u
134
+ ··· + 885u + 167)
c
3
(u
28
+ 10u
26
+ ··· − u + 1)(u
135
− u
134
+ ··· + 8241u + 1341)
c
4
(u
28
+ 6u
27
+ ··· − 4u
2
+ 1)(u
135
− 3u
134
+ ··· − 54u + 1)
c
5
(u
28
+ 6u
26
+ ··· + u + 1)(u
135
+ u
134
+ ··· + 315u + 43)
c
6
(u
28
− 7u
26
+ ··· + u + 1)(u
135
− u
134
+ ··· + 885u + 167)
c
7
(u
28
+ u
27
+ ··· − 2u + 1)(u
135
− 4u
134
+ ··· − 3344250u + 838321)
c
8
(u
28
+ 10u
26
+ ··· + u + 1)(u
135
− u
134
+ ··· + 8241u + 1341)
c
9
(u
28
− 12u
27
+ ··· − 19u + 1)(u
135
+ 43u
134
+ ··· − 46545u − 1849)
c
10
(u
28
+ 6u
26
+ ··· − u + 1)(u
135
+ u
134
+ ··· + 315u + 43)
c
11
(u
28
+ 12u
27
+ ··· + 19u + 1)(u
135
+ 43u
134
+ ··· − 46545u − 1849)
c
12
(u
28
+ 4u
27
+ ··· − 4u + 1)(u
135
− 3u
134
+ ··· + 44u − 1)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 14y
27
+ ··· + 5y + 1)
· (y
135
+ 65y
134
+ ··· − 226517556159y −777796321)
c
2
, c
6
(y
28
− 14y
27
+ ··· − 15y + 1)(y
135
− 55y
134
+ ··· + 544081y −27889)
c
3
, c
8
(y
28
+ 20y
27
+ ··· + 27y + 1)
· (y
135
+ 79y
134
+ ··· − 103538133y −1798281)
c
4
(y
28
− 2y
27
+ ··· − 8y + 1)(y
135
− 11y
134
+ ··· + 230y −1)
c
5
, c
10
(y
28
+ 12y
27
+ ··· + 19y + 1)(y
135
+ 43y
134
+ ··· − 46545y −1849)
c
7
(y
28
− 9y
27
+ ··· + 2y + 1)
· (y
135
+ 30y
134
+ ··· − 25519271420832y −702782099041)
c
9
, c
11
(y
28
+ 20y
27
+ ··· − 13y + 1)
· (y
135
+ 111y
134
+ ··· + 44824163y −3418801)
c
12
(y
28
− 4y
27
+ ··· − 12y + 1)(y
135
− 5y
134
+ ··· − 346y −1)
28
