12a
0341
(K12a
0341
)
A knot diagram
1
Linearized knot diagam
3 6 8 1 10 2 11 4 5 12 7 9
Solving Sequence
1,4 5,9
10 6 8 3 2 12 11 7
c
4
c
9
c
5
c
8
c
3
c
1
c
12
c
10
c
7
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.44332 × 10
1136
u
137
+ 2.78439 × 10
1137
u
136
+ ··· + 3.44849 × 10
1135
b − 1.92073 × 10
1137
,
2.22539 × 10
1128
u
137
− 1.98801 × 10
1129
u
136
+ ··· + 1.86692 × 10
1126
a − 8.75584 × 10
1128
,
u
138
− 9u
137
+ ··· − 21u + 1i
I
u
2
= h3.23979 × 10
24
u
23
+ 6.24896 × 10
24
u
22
+ ··· + 1.91625 × 10
23
b + 4.39693 × 10
24
,
− 2.23743 × 10
23
u
23
− 5.98054 × 10
23
u
22
+ ··· + 3.83250 × 10
22
a − 1.44899 × 10
24
, u
24
+ 2u
23
+ ··· + 8u + 1i
* 2 irreducible components of dim
C
= 0, with total 162 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−3.44 × 10
1136
u
137
+ 2.78 × 10
1137
u
136
+ · · · + 3.45 × 10
1135
b −
1.92 × 10
1137
, 2.23 × 10
1128
u
137
− 1.99 × 10
1129
u
136
+ · · · + 1.87 × 10
1126
a −
8.76 × 10
1128
, u
138
− 9u
137
+ · · · − 21u + 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
−119.202u
137
+ 1064.86u
136
+ ··· − 9035.27u + 469.000
9.98502u
137
− 80.7423u
136
+ ··· − 866.225u + 55.6977
a
10
=
−116.038u
137
+ 1042.02u
136
+ ··· − 9853.74u + 516.748
11.4932u
137
− 94.3477u
136
+ ··· − 751.165u + 50.0679
a
6
=
95.7599u
137
− 842.835u
136
+ ··· + 3790.34u − 177.458
−32.9935u
137
+ 288.022u
136
+ ··· − 1420.01u + 64.6705
a
8
=
−109.217u
137
+ 984.122u
136
+ ··· − 9901.49u + 524.698
9.98502u
137
− 80.7423u
136
+ ··· − 866.225u + 55.6977
a
3
=
52.6470u
137
− 472.308u
136
+ ··· + 3609.65u − 185.644
−36.0962u
137
+ 312.652u
136
+ ··· − 1130.23u + 45.1931
a
2
=
−57.1454u
137
+ 472.524u
136
+ ··· + 2358.87u − 140.762
−36.5184u
137
+ 320.362u
136
+ ··· − 1901.53u + 95.6758
a
12
=
−30.2955u
137
+ 235.144u
136
+ ··· + 2935.64u − 137.588
13.7296u
137
− 126.491u
136
+ ··· + 1632.77u − 88.7432
a
11
=
−118.423u
137
+ 1126.56u
136
+ ··· − 20434.1u + 1062.67
−20.6474u
137
+ 188.411u
136
+ ··· − 2651.47u + 143.008
a
7
=
28.2171u
137
− 216.230u
136
+ ··· − 3099.08u + 146.223
−18.2326u
137
+ 166.131u
136
+ ··· − 1907.86u + 102.850
(ii) Obstruction class = −1
(iii) Cusp Shapes = 113.971u
137
− 1017.23u
136
+ ··· + 8375.14u − 424.668
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
138
+ 61u
137
+ ··· + 607299u + 14641
c
2
, c
6
u
138
− u
137
+ ··· + 1529u + 121
c
3
, c
8
u
138
− u
137
+ ··· − 77095u + 4463
c
4
u
138
− 9u
137
+ ··· − 21u + 1
c
5
, c
9
u
138
+ u
137
+ ··· + 77095u + 4463
c
7
, c
11
u
138
+ u
137
+ ··· − 1529u + 121
c
10
u
138
− 61u
137
+ ··· − 607299u + 14641
c
12
u
138
+ 9u
137
+ ··· + 21u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
138
+ 45y
137
+ ··· + 6338026514699y + 214358881
c
2
, c
6
, c
7
c
11
y
138
+ 61y
137
+ ··· + 607299y + 14641
c
3
, c
5
, c
8
c
9
y
138
− 81y
137
+ ··· − 4595134649y + 19918369
c
4
, c
12
y
138
+ 15y
137
+ ··· + 45y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.272105 + 0.972282I
a = −1.93427 + 1.29974I
b = 0.992143 − 0.175684I
4.46651 + 5.76707I 0
u = −0.272105 − 0.972282I
a = −1.93427 − 1.29974I
b = 0.992143 + 0.175684I
4.46651 − 5.76707I 0
u = −0.373903 + 0.940772I
a = −1.02386 + 1.70217I
b = 0.883629 − 0.470800I
3.88225 + 0.20824I 0
u = −0.373903 − 0.940772I
a = −1.02386 − 1.70217I
b = 0.883629 + 0.470800I
3.88225 − 0.20824I 0
u = 0.752554 + 0.639394I
a = −0.290394 − 1.355470I
b = 1.43199 + 0.31863I
−8.15626 − 5.13625I 0
u = 0.752554 − 0.639394I
a = −0.290394 + 1.355470I
b = 1.43199 − 0.31863I
−8.15626 + 5.13625I 0
u = −0.077192 + 1.013360I
a = 1.63409 + 0.46381I
b = −0.553011 − 0.498638I
2.01182 + 6.13132I 0
u = −0.077192 − 1.013360I
a = 1.63409 − 0.46381I
b = −0.553011 + 0.498638I
2.01182 − 6.13132I 0
u = −0.239308 + 0.990831I
a = 2.06293 − 0.80865I
b = −0.935928 − 0.016428I
3.99322 + 2.29700I 0
u = −0.239308 − 0.990831I
a = 2.06293 + 0.80865I
b = −0.935928 + 0.016428I
3.99322 − 2.29700I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.060247 + 1.023100I
a = −1.142720 − 0.824417I
b = 0.295496 + 0.676979I
1.216640 + 0.681103I 0
u = 0.060247 − 1.023100I
a = −1.142720 + 0.824417I
b = 0.295496 − 0.676979I
1.216640 − 0.681103I 0
u = 0.488193 + 0.911199I
a = −0.191286 − 1.198690I
b = −0.093001 + 0.984414I
3.67051 − 2.44046I 0
u = 0.488193 − 0.911199I
a = −0.191286 + 1.198690I
b = −0.093001 − 0.984414I
3.67051 + 2.44046I 0
u = 0.883420 + 0.600790I
a = 0.190118 + 1.145700I
b = −1.400590 − 0.186122I
−8.71911 + 0.66760I 0
u = 0.883420 − 0.600790I
a = 0.190118 − 1.145700I
b = −1.400590 + 0.186122I
−8.71911 − 0.66760I 0
u = −0.664902 + 0.647465I
a = −0.504665 − 1.102610I
b = −0.877971 + 0.440649I
1.67557 + 2.74433I 0
u = −0.664902 − 0.647465I
a = −0.504665 + 1.102610I
b = −0.877971 − 0.440649I
1.67557 − 2.74433I 0
u = 0.967854 + 0.469102I
a = 1.236110 − 0.669379I
b = 1.042350 + 0.396913I
−1.11652 − 7.36017I 0
u = 0.967854 − 0.469102I
a = 1.236110 + 0.669379I
b = 1.042350 − 0.396913I
−1.11652 + 7.36017I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.600530 + 0.895121I
a = 0.011810 + 1.220600I
b = 0.109514 − 1.079390I
6.14091 − 7.61368I 0
u = 0.600530 − 0.895121I
a = 0.011810 − 1.220600I
b = 0.109514 + 1.079390I
6.14091 + 7.61368I 0
u = 0.912532 + 0.053594I
a = 0.876109 − 0.975755I
b = 0.955013 − 0.000219I
−0.945343 − 0.366206I 0
u = 0.912532 − 0.053594I
a = 0.876109 + 0.975755I
b = 0.955013 + 0.000219I
−0.945343 + 0.366206I 0
u = −1.049450 + 0.406371I
a = −0.343211 − 0.749855I
b = −0.0829223 + 0.0313636I
−1.67557 + 2.74433I 0
u = −1.049450 − 0.406371I
a = −0.343211 + 0.749855I
b = −0.0829223 − 0.0313636I
−1.67557 − 2.74433I 0
u = −0.439694 + 1.049030I
a = 0.710302 − 1.151910I
b = −0.661466 + 0.591574I
2.23111 + 4.47872I 0
u = −0.439694 − 1.049030I
a = 0.710302 + 1.151910I
b = −0.661466 − 0.591574I
2.23111 − 4.47872I 0
u = 0.111958 + 0.849954I
a = 0.535172 − 0.785736I
b = −0.679053 + 0.478295I
2.23634 + 1.17797I 0
u = 0.111958 − 0.849954I
a = 0.535172 + 0.785736I
b = −0.679053 − 0.478295I
2.23634 − 1.17797I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.938248 + 0.680040I
a = −0.77268 + 1.39820I
b = −1.167130 − 0.459804I
−2.08901 − 4.73737I 0
u = 0.938248 − 0.680040I
a = −0.77268 − 1.39820I
b = −1.167130 + 0.459804I
−2.08901 + 4.73737I 0
u = −0.727757 + 0.366902I
a = 0.592142 − 0.869379I
b = 0.448681 − 0.181342I
−2.23634 + 1.17797I 0
u = −0.727757 − 0.366902I
a = 0.592142 + 0.869379I
b = 0.448681 + 0.181342I
−2.23634 − 1.17797I 0
u = −0.727682 + 0.942031I
a = −0.573229 − 0.196405I
b = 0.480323 + 0.508966I
0.55047 + 3.64176I 0
u = −0.727682 − 0.942031I
a = −0.573229 + 0.196405I
b = 0.480323 − 0.508966I
0.55047 − 3.64176I 0
u = −0.851773 + 0.843453I
a = 0.509465 + 0.567410I
b = −0.132538 − 0.723809I
0.945343 + 0.366206I 0
u = −0.851773 − 0.843453I
a = 0.509465 − 0.567410I
b = −0.132538 + 0.723809I
0.945343 − 0.366206I 0
u = −0.593004 + 1.056020I
a = 0.180572 − 1.042790I
b = −0.139227 + 1.159900I
2.42938 + 7.47182I 0
u = −0.593004 − 1.056020I
a = 0.180572 + 1.042790I
b = −0.139227 − 1.159900I
2.42938 − 7.47182I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.641815 + 1.029010I
a = −0.050692 + 1.059620I
b = 0.000038 − 1.294560I
4.39065 + 13.04350I 0
u = −0.641815 − 1.029010I
a = −0.050692 − 1.059620I
b = 0.000038 + 1.294560I
4.39065 − 13.04350I 0
u = −1.132200 + 0.448698I
a = 0.067608 + 0.361482I
b = 1.073610 − 0.102452I
−2.16239 + 0.31280I 0
u = −1.132200 − 0.448698I
a = 0.067608 − 0.361482I
b = 1.073610 + 0.102452I
−2.16239 − 0.31280I 0
u = 0.520373 + 1.126360I
a = 0.140955 + 0.849436I
b = 0.264174 − 0.868535I
8.71911 + 0.66760I 0
u = 0.520373 − 1.126360I
a = 0.140955 − 0.849436I
b = 0.264174 + 0.868535I
8.71911 − 0.66760I 0
u = −0.998861 + 0.759491I
a = −0.129822 + 0.813527I
b = 1.272690 − 0.445031I
−3.67051 + 2.44046I 0
u = −0.998861 − 0.759491I
a = −0.129822 − 0.813527I
b = 1.272690 + 0.445031I
−3.67051 − 2.44046I 0
u = −0.291302 + 0.679963I
a = −0.051473 + 0.427774I
b = 0.291428 − 0.679082I
−0.05605 + 1.78094I 0
u = −0.291302 − 0.679963I
a = −0.051473 − 0.427774I
b = 0.291428 + 0.679082I
−0.05605 − 1.78094I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.086430 + 0.662833I
a = 0.299139 − 0.999413I
b = 1.128700 + 0.551194I
−0.74320 − 6.11734I 0
u = 1.086430 − 0.662833I
a = 0.299139 + 0.999413I
b = 1.128700 − 0.551194I
−0.74320 + 6.11734I 0
u = −0.602148 + 0.397079I
a = −1.56122 + 0.53492I
b = −0.544434 + 0.347223I
−0.55047 − 3.64176I 0
u = −0.602148 − 0.397079I
a = −1.56122 − 0.53492I
b = −0.544434 − 0.347223I
−0.55047 + 3.64176I 0
u = −0.994126 + 0.809066I
a = 0.161223 − 0.931048I
b = −1.30468 + 0.58986I
−2.42938 + 7.47182I 0
u = −0.994126 − 0.809066I
a = 0.161223 + 0.931048I
b = −1.30468 − 0.58986I
−2.42938 − 7.47182I 0
u = 1.057830 + 0.732243I
a = −0.045045 − 0.941580I
b = 1.43238 + 0.67601I
−4.39065 − 13.04350I 0
u = 1.057830 − 0.732243I
a = −0.045045 + 0.941580I
b = 1.43238 − 0.67601I
−4.39065 + 13.04350I 0
u = −0.698312 + 0.116861I
a = 0.273726 + 0.345184I
b = −1.181700 − 0.509825I
1.11025 + 3.10329I 0
u = −0.698312 − 0.116861I
a = 0.273726 − 0.345184I
b = −1.181700 + 0.509825I
1.11025 − 3.10329I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.951156 + 0.881801I
a = −0.05261 + 1.52270I
b = −1.314470 − 0.312706I
−4.75617 − 9.62715I 0
u = 0.951156 − 0.881801I
a = −0.05261 − 1.52270I
b = −1.314470 + 0.312706I
−4.75617 + 9.62715I 0
u = 1.085490 + 0.743576I
a = 0.007926 + 0.819196I
b = −1.42697 − 0.55428I
−6.14091 − 7.61368I 0
u = 1.085490 − 0.743576I
a = 0.007926 − 0.819196I
b = −1.42697 + 0.55428I
−6.14091 + 7.61368I 0
u = −0.971836 + 0.903292I
a = −0.073011 − 0.997331I
b = −0.880200 + 0.799810I
2.77105I 0
u = −0.971836 − 0.903292I
a = −0.073011 + 0.997331I
b = −0.880200 − 0.799810I
− 2.77105I 0
u = −0.987437 + 0.887515I
a = 0.274865 + 0.918316I
b = 0.532355 − 0.860913I
0.74320 + 6.11734I 0
u = −0.987437 − 0.887515I
a = 0.274865 − 0.918316I
b = 0.532355 + 0.860913I
0.74320 − 6.11734I 0
u = −0.648145 + 1.205740I
a = −0.151118 + 0.705374I
b = −0.173279 − 0.811593I
8.15626 + 5.13625I 0
u = −0.648145 − 1.205740I
a = −0.151118 − 0.705374I
b = −0.173279 + 0.811593I
8.15626 − 5.13625I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.024050 + 0.930465I
a = −0.028357 − 1.275540I
b = 1.260970 + 0.226165I
−5.93710 − 4.34590I 0
u = 1.024050 − 0.930465I
a = −0.028357 + 1.275540I
b = 1.260970 − 0.226165I
−5.93710 + 4.34590I 0
u = 0.436460 + 0.425557I
a = −1.60395 + 1.88000I
b = 0.456253 − 0.433194I
4.93848 + 3.64554I 0
u = 0.436460 − 0.425557I
a = −1.60395 − 1.88000I
b = 0.456253 + 0.433194I
4.93848 − 3.64554I 0
u = −0.77462 + 1.21878I
a = −0.575541 + 0.415227I
b = 0.998111 + 0.042104I
−1.216640 − 0.681103I 0
u = −0.77462 − 1.21878I
a = −0.575541 − 0.415227I
b = 0.998111 − 0.042104I
−1.216640 + 0.681103I 0
u = 0.194293 + 0.483947I
a = −0.204689 + 0.649331I
b = 1.09528 − 1.37945I
−0.444360 + 0.758531I 14.6583 + 7.5400I
u = 0.194293 − 0.483947I
a = −0.204689 − 0.649331I
b = 1.09528 + 1.37945I
−0.444360 − 0.758531I 14.6583 − 7.5400I
u = 1.50011 + 0.13797I
a = −0.262639 + 0.307841I
b = −1.169710 + 0.144965I
−4.93848 + 3.64554I 0
u = 1.50011 − 0.13797I
a = −0.262639 − 0.307841I
b = −1.169710 − 0.144965I
−4.93848 − 3.64554I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.486377 + 0.050195I
a = −0.227084 − 0.673388I
b = 1.17421 + 1.25375I
0.846297 + 0.024641I −15.5429 − 7.8844I
u = −0.486377 − 0.050195I
a = −0.227084 + 0.673388I
b = 1.17421 − 1.25375I
0.846297 − 0.024641I −15.5429 + 7.8844I
u = −1.51038 + 0.06800I
a = 0.625551 + 0.338750I
b = 0.451371 + 0.245792I
1.11652 + 7.36017I 0
u = −1.51038 − 0.06800I
a = 0.625551 − 0.338750I
b = 0.451371 − 0.245792I
1.11652 − 7.36017I 0
u = −0.89607 + 1.25161I
a = 0.387843 − 0.628970I
b = −1.045510 + 0.201901I
−2.23111 + 4.47872I 0
u = −0.89607 − 1.25161I
a = 0.387843 + 0.628970I
b = −1.045510 − 0.201901I
−2.23111 − 4.47872I 0
u = 0.238742 + 0.378933I
a = 0.49991 − 2.67289I
b = −0.633279 + 0.424355I
2.16239 − 0.31280I 3.87060 + 0.I
u = 0.238742 − 0.378933I
a = 0.49991 + 2.67289I
b = −0.633279 − 0.424355I
2.16239 + 0.31280I 3.87060 + 0.I
u = −1.02413 + 1.19332I
a = −0.156612 + 1.088080I
b = 1.30906 − 0.55402I
2.37368 + 13.37220I 0
u = −1.02413 − 1.19332I
a = −0.156612 − 1.088080I
b = 1.30906 + 0.55402I
2.37368 − 13.37220I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00813 + 1.23712I
a = 0.201878 − 0.979411I
b = −1.273390 + 0.502557I
7.71222I 0
u = −1.00813 − 1.23712I
a = 0.201878 + 0.979411I
b = −1.273390 − 0.502557I
− 7.71222I 0
u = 0.277315 + 0.283202I
a = 0.104752 − 0.888653I
b = −1.22541 + 1.68513I
0.31243 + 4.65765I −0.5140 + 24.9918I
u = 0.277315 − 0.283202I
a = 0.104752 + 0.888653I
b = −1.22541 − 1.68513I
0.31243 − 4.65765I −0.5140 − 24.9918I
u = 0.354011 + 0.027102I
a = −0.44159 + 1.40084I
b = −1.17718 − 1.21340I
0.444360 + 0.758531I −14.6583 + 7.5400I
u = 0.354011 − 0.027102I
a = −0.44159 − 1.40084I
b = −1.17718 + 1.21340I
0.444360 − 0.758531I −14.6583 − 7.5400I
u = −0.280718 + 0.216771I
a = 0.130829 + 1.109880I
b = 1.36464 − 1.66574I
−0.31243 − 4.65765I 0.5140 − 24.9918I
u = −0.280718 − 0.216771I
a = 0.130829 − 1.109880I
b = 1.36464 + 1.66574I
−0.31243 + 4.65765I 0.5140 + 24.9918I
u = −0.144249 + 0.316122I
a = −0.449654 − 1.333390I
b = −1.26024 + 1.40027I
−0.846297 + 0.024641I 15.5429 − 7.8844I
u = −0.144249 − 0.316122I
a = −0.449654 + 1.333390I
b = −1.26024 − 1.40027I
−0.846297 − 0.024641I 15.5429 + 7.8844I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.249069 + 0.221274I
a = −1.43089 + 5.48760I
b = 0.666087 − 0.201597I
5.28142 − 3.87461I 7.78917 + 1.22770I
u = 0.249069 − 0.221274I
a = −1.43089 − 5.48760I
b = 0.666087 + 0.201597I
5.28142 + 3.87461I 7.78917 − 1.22770I
u = 1.13993 + 1.22922I
a = 0.075276 + 0.997163I
b = −1.40521 − 0.60727I
− 19.6086I 0
u = 1.13993 − 1.22922I
a = 0.075276 − 0.997163I
b = −1.40521 + 0.60727I
19.6086I 0
u = 0.275876 + 0.159611I
a = −0.27727 − 2.30432I
b = −0.102535 + 0.537992I
0.05605 − 1.78094I −0.01856 + 2.95154I
u = 0.275876 − 0.159611I
a = −0.27727 + 2.30432I
b = −0.102535 − 0.537992I
0.05605 + 1.78094I −0.01856 − 2.95154I
u = 0.231485 + 0.209058I
a = 1.41039 − 1.77858I
b = 1.36778 + 0.62876I
−1.11025 − 3.10329I 2.30522 + 6.70707I
u = 0.231485 − 0.209058I
a = 1.41039 + 1.77858I
b = 1.36778 − 0.62876I
−1.11025 + 3.10329I 2.30522 − 6.70707I
u = 0.099745 + 0.272426I
a = 4.23217 − 4.46581I
b = 1.053940 + 0.392703I
−0.95266 − 4.76806I 0.06588 + 5.12711I
u = 0.099745 − 0.272426I
a = 4.23217 + 4.46581I
b = 1.053940 − 0.392703I
−0.95266 + 4.76806I 0.06588 − 5.12711I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.66367 + 1.58003I
a = −0.143463 + 0.008026I
b = 1.299960 − 0.196269I
−3.43891 + 2.81616I 0
u = 0.66367 − 1.58003I
a = −0.143463 − 0.008026I
b = 1.299960 + 0.196269I
−3.43891 − 2.81616I 0
u = 0.59614 + 1.62012I
a = 0.566338 + 0.160746I
b = −1.042740 + 0.230532I
−2.01182 + 6.13132I 0
u = 0.59614 − 1.62012I
a = 0.566338 − 0.160746I
b = −1.042740 − 0.230532I
−2.01182 − 6.13132I 0
u = 1.13804 + 1.30123I
a = −0.129597 − 0.900394I
b = 1.40922 + 0.52861I
−2.37368 − 13.37220I 0
u = 1.13804 − 1.30123I
a = −0.129597 + 0.900394I
b = 1.40922 − 0.52861I
−2.37368 + 13.37220I 0
u = 0.066659 + 0.257288I
a = −6.18103 + 6.58510I
b = −0.947872 − 0.366307I
0.93987 − 9.73689I 3.92710 + 12.05743I
u = 0.066659 − 0.257288I
a = −6.18103 − 6.58510I
b = −0.947872 + 0.366307I
0.93987 + 9.73689I 3.92710 − 12.05743I
u = 0.107893 + 0.221349I
a = −6.94870 − 0.38873I
b = −1.021830 − 0.121107I
3.43891 − 2.81616I 2.08219 + 3.38759I
u = 0.107893 − 0.221349I
a = −6.94870 + 0.38873I
b = −1.021830 + 0.121107I
3.43891 + 2.81616I 2.08219 − 3.38759I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.15781 + 1.33260I
a = −0.017420 + 0.783594I
b = 1.164610 − 0.513507I
5.93710 + 4.34590I 0
u = −1.15781 − 1.33260I
a = −0.017420 − 0.783594I
b = 1.164610 + 0.513507I
5.93710 − 4.34590I 0
u = −1.63874 + 0.70751I
a = 0.111800 − 0.117972I
b = −1.083230 − 0.124303I
0.95266 − 4.76806I 0
u = −1.63874 − 0.70751I
a = 0.111800 + 0.117972I
b = −1.083230 + 0.124303I
0.95266 + 4.76806I 0
u = 1.67580 + 0.78640I
a = −0.302776 + 0.547884I
b = −0.939973 − 0.058035I
2.08901 − 4.73737I 0
u = 1.67580 − 0.78640I
a = −0.302776 − 0.547884I
b = −0.939973 + 0.058035I
2.08901 + 4.73737I 0
u = 1.57066 + 1.05017I
a = −0.044491 + 0.170628I
b = −1.289670 − 0.115617I
−5.28142 − 3.87461I 0
u = 1.57066 − 1.05017I
a = −0.044491 − 0.170628I
b = −1.289670 + 0.115617I
−5.28142 + 3.87461I 0
u = 1.39276 + 1.40193I
a = −0.022664 + 0.655944I
b = −1.246490 − 0.418023I
4.75617 − 9.62715I 0
u = 1.39276 − 1.40193I
a = −0.022664 − 0.655944I
b = −1.246490 + 0.418023I
4.75617 + 9.62715I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.21853 + 1.59967I
a = −0.259489 − 0.431401I
b = 1.076910 − 0.077439I
−3.88225 − 0.20824I 0
u = 1.21853 − 1.59967I
a = −0.259489 + 0.431401I
b = 1.076910 + 0.077439I
−3.88225 + 0.20824I 0
u = −0.30756 + 2.23753I
a = 0.420183 − 0.164709I
b = −1.354690 + 0.214286I
−3.99322 + 2.29700I 0
u = −0.30756 − 2.23753I
a = 0.420183 + 0.164709I
b = −1.354690 − 0.214286I
−3.99322 − 2.29700I 0
u = 0.73739 + 2.23432I
a = −0.356171 − 0.239331I
b = 1.380890 + 0.066703I
−4.46651 − 5.76707I 0
u = 0.73739 − 2.23432I
a = −0.356171 + 0.239331I
b = 1.380890 − 0.066703I
−4.46651 + 5.76707I 0
u = 2.10629 + 1.15135I
a = −0.0757770 − 0.0807308I
b = 1.103700 − 0.252363I
−0.93987 + 9.73689I 0
u = 2.10629 − 1.15135I
a = −0.0757770 + 0.0807308I
b = 1.103700 + 0.252363I
−0.93987 − 9.73689I 0
18
II.
I
u
2
= h3.24×10
24
u
23
+6.25×10
24
u
22
+· · ·+1.92×10
23
b+4.40×10
24
, −2.24×
10
23
u
23
−5.98×10
23
u
22
+· · ·+3.83×10
22
a−1.45×10
24
, u
24
+2u
23
+· · ·+8u+1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
5.83803u
23
+ 15.6048u
22
+ ··· + 244.212u + 37.8079
−16.9069u
23
− 32.6103u
22
+ ··· − 206.366u − 22.9455
a
10
=
−8.68561u
23
− 12.6882u
22
+ ··· + 75.1136u + 18.7911
−12.7367u
23
− 26.7320u
22
+ ··· − 197.877u − 23.6998
a
6
=
−6.10819u
23
− 10.3658u
22
+ ··· − 64.4159u − 1.35938
−0.00224655u
23
+ 0.0591609u
22
+ ··· − 0.0184137u + 1.02291
a
8
=
−11.0689u
23
− 17.0056u
22
+ ··· + 37.8459u + 14.8624
−16.9069u
23
− 32.6103u
22
+ ··· − 206.366u − 22.9455
a
3
=
−4.32824u
23
− 7.83526u
22
+ ··· − 73.4315u − 5.56357
−0.0928160u
23
− 0.287207u
22
+ ··· − 3.14691u + 0.0772088
a
2
=
−2.20110u
23
− 6.23746u
22
+ ··· − 154.126u − 25.4095
−0.271600u
23
− 0.619617u
22
+ ··· − 13.0846u − 2.59455
a
12
=
1.40795u
23
+ 4.89036u
22
+ ··· + 90.7982u + 14.0726
0.922791u
23
+ 1.75277u
22
+ ··· + 28.2426u + 4.23542
a
11
=
−9.30288u
23
− 14.0345u
22
+ ··· + 54.7475u + 15.3134
−0.845550u
23
− 2.77361u
22
+ ··· + 13.5947u + 1.91142
a
7
=
4.20419u
23
+ 10.1883u
22
+ ··· + 163.287u + 24.6179
0.945701u
23
+ 1.80083u
22
+ ··· + 25.9827u + 4.43712
(ii) Obstruction class = 1
(iii) Cusp Shapes =
343669279555800031796537
63875034598573877706315
u
23
+
312636858516916960760692
21291678199524625902105
u
22
+ ··· −
18768889108163220108121
21291678199524625902105
u −
1147962291378844473121517
63875034598573877706315
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 12u
23
+ ··· − 18u + 1
c
2
, c
11
u
24
− 4u
23
+ ··· − 2u + 1
c
3
, c
9
u
24
− 3u
22
+ ··· − 3u
2
+ 1
c
4
u
24
+ 2u
23
+ ··· + 8u + 1
c
5
, c
8
u
24
− 3u
22
+ ··· − 3u
2
+ 1
c
6
, c
7
u
24
+ 4u
23
+ ··· + 2u + 1
c
10
u
24
+ 12u
23
+ ··· + 18u + 1
c
12
u
24
− 2u
23
+ ··· − 8u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
24
+ 12y
23
+ ··· − 6y + 1
c
2
, c
6
, c
7
c
11
y
24
+ 12y
23
+ ··· + 18y + 1
c
3
, c
5
, c
8
c
9
y
24
− 6y
23
+ ··· − 6y + 1
c
4
, c
12
y
24
+ 10y
23
+ ··· + 16y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.508468 + 0.833859I
a = 1.04067 − 1.90305I
b = −0.755169 + 0.069369I
5.18257 + 4.98692I 7.16194 − 5.64832I
u = −0.508468 − 0.833859I
a = 1.04067 + 1.90305I
b = −0.755169 − 0.069369I
5.18257 − 4.98692I 7.16194 + 5.64832I
u = 0.949260 + 0.551436I
a = −0.86340 + 1.29887I
b = −1.093510 − 0.450585I
−2.84621 − 5.32520I −6.09553 + 7.11128I
u = 0.949260 − 0.551436I
a = −0.86340 − 1.29887I
b = −1.093510 + 0.450585I
−2.84621 + 5.32520I −6.09553 − 7.11128I
u = −0.127138 + 0.863795I
a = −2.59747 + 0.67163I
b = 0.762168 − 0.117774I
4.61036 + 2.70656I 11.40887 − 5.24728I
u = −0.127138 − 0.863795I
a = −2.59747 − 0.67163I
b = 0.762168 + 0.117774I
4.61036 − 2.70656I 11.40887 + 5.24728I
u = −0.875010 + 0.862159I
a = 0.014795 + 0.999891I
b = 0.754481 − 0.656322I
3.68608I 0. − 7.10821I
u = −0.875010 − 0.862159I
a = 0.014795 − 0.999891I
b = 0.754481 + 0.656322I
− 3.68608I 0. + 7.10821I
u = −0.394249 + 0.499202I
a = −0.231741 + 0.972777I
b = 0.202318 − 0.979320I
2.82928I 0. − 13.06624I
u = −0.394249 − 0.499202I
a = −0.231741 − 0.972777I
b = 0.202318 + 0.979320I
− 2.82928I 0. + 13.06624I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.372400 + 0.203320I
a = 0.957046 − 0.289936I
b = 0.962404 − 0.271622I
8.95397I 0. − 7.24311I
u = 1.372400 − 0.203320I
a = 0.957046 + 0.289936I
b = 0.962404 + 0.271622I
− 8.95397I 0. + 7.24311I
u = −0.183026 + 0.497500I
a = 0.853414 + 0.345332I
b = −0.066707 − 1.119450I
−0.882626 + 0.492848I 0.123533 + 1.402754I
u = −0.183026 − 0.497500I
a = 0.853414 − 0.345332I
b = −0.066707 + 1.119450I
−0.882626 − 0.492848I 0.123533 − 1.402754I
u = −0.328000 + 0.361368I
a = 1.006900 − 0.407438I
b = −0.053042 + 0.890133I
0.882626 − 0.492848I −0.123533 − 1.402754I
u = −0.328000 − 0.361368I
a = 1.006900 + 0.407438I
b = −0.053042 − 0.890133I
0.882626 + 0.492848I −0.123533 + 1.402754I
u = −0.177744 + 0.411566I
a = −0.685612 + 0.727968I
b = 0.100490 + 0.994938I
4.94984I 0. − 4.75242I
u = −0.177744 − 0.411566I
a = −0.685612 − 0.727968I
b = 0.100490 − 0.994938I
− 4.94984I 0. + 4.75242I
u = −1.53583 + 0.75686I
a = −0.354939 − 0.533960I
b = −0.781753 + 0.322124I
2.84621 + 5.32520I 6.09553 − 7.11128I
u = −1.53583 − 0.75686I
a = −0.354939 + 0.533960I
b = −0.781753 − 0.322124I
2.84621 − 5.32520I 6.09553 + 7.11128I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.05773 + 1.83541I
a = 0.221203 + 0.404508I
b = −1.313130 − 0.120623I
−5.18257 − 4.98692I 0
u = 1.05773 − 1.83541I
a = 0.221203 − 0.404508I
b = −1.313130 + 0.120623I
−5.18257 + 4.98692I 0
u = −0.24991 + 2.32907I
a = −0.360863 + 0.093308I
b = 1.281450 − 0.198016I
−4.61036 + 2.70656I 0
u = −0.24991 − 2.32907I
a = −0.360863 − 0.093308I
b = 1.281450 + 0.198016I
−4.61036 − 2.70656I 0
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 12u
23
+ ··· − 18u + 1)(u
138
+ 61u
137
+ ··· + 607299u + 14641)
c
2
(u
24
− 4u
23
+ ··· − 2u + 1)(u
138
− u
137
+ ··· + 1529u + 121)
c
3
(u
24
− 3u
22
+ ··· − 3u
2
+ 1)(u
138
− u
137
+ ··· − 77095u + 4463)
c
4
(u
24
+ 2u
23
+ ··· + 8u + 1)(u
138
− 9u
137
+ ··· − 21u + 1)
c
5
(u
24
− 3u
22
+ ··· − 3u
2
+ 1)(u
138
+ u
137
+ ··· + 77095u + 4463)
c
6
(u
24
+ 4u
23
+ ··· + 2u + 1)(u
138
− u
137
+ ··· + 1529u + 121)
c
7
(u
24
+ 4u
23
+ ··· + 2u + 1)(u
138
+ u
137
+ ··· − 1529u + 121)
c
8
(u
24
− 3u
22
+ ··· − 3u
2
+ 1)(u
138
− u
137
+ ··· − 77095u + 4463)
c
9
(u
24
− 3u
22
+ ··· − 3u
2
+ 1)(u
138
+ u
137
+ ··· + 77095u + 4463)
c
10
(u
24
+ 12u
23
+ ··· + 18u + 1)(u
138
− 61u
137
+ ··· − 607299u + 14641)
c
11
(u
24
− 4u
23
+ ··· − 2u + 1)(u
138
+ u
137
+ ··· − 1529u + 121)
c
12
(u
24
− 2u
23
+ ··· − 8u + 1)(u
138
+ 9u
137
+ ··· + 21u + 1)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
10
(y
24
+ 12y
23
+ ··· − 6y + 1)
· (y
138
+ 45y
137
+ ··· + 6338026514699y + 214358881)
c
2
, c
6
, c
7
c
11
(y
24
+ 12y
23
+ ··· + 18y + 1)(y
138
+ 61y
137
+ ··· + 607299y + 14641)
c
3
, c
5
, c
8
c
9
(y
24
− 6y
23
+ ··· − 6y + 1)
· (y
138
− 81y
137
+ ··· − 4595134649y + 19918369)
c
4
, c
12
(y
24
+ 10y
23
+ ··· + 16y + 1)(y
138
+ 15y
137
+ ··· + 45y + 1)
26
