12a
0633
(K12a
0633
)
A knot diagram
1
Linearized knot diagam
3 7 10 9 11 2 6 12 1 8 5 4
Solving Sequence
2,6
7 3 8
1,11
5 12 9 4 10
c
6
c
2
c
7
c
1
c
5
c
11
c
8
c
4
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.15499 × 10
196
u
129
+ 3.24861 × 10
196
u
128
+ ··· + 1.37901 × 10
195
b − 1.57265 × 10
198
,
− 1.02606 × 10
197
u
129
+ 6.86879 × 10
196
u
128
+ ··· + 1.37901 × 10
195
a − 2.82868 × 10
198
,
u
130
− 18u
128
+ ··· + 24u + 19i
I
u
2
= h−13u
20
− 15u
19
+ ··· + b + 14, 19u
20
+ 35u
19
+ ··· + a − 59, u
21
+ u
20
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 151 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−5.15 × 10
196
u
129
+ 3.25 × 10
196
u
128
+ · · · + 1.38 × 10
195
b − 1.57 ×
10
198
, −1.03 × 10
197
u
129
+ 6.87 × 10
196
u
128
+ · · · + 1.38 × 10
195
a − 2.83 ×
10
198
, u
130
− 18u
128
+ · · · + 24u + 19i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
8
=
−u
2
+ 1
u
2
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
74.4057u
129
− 49.8096u
128
+ ··· − 355.205u + 2051.24
37.3818u
129
− 23.5575u
128
+ ··· − 376.747u + 1140.42
a
5
=
139.212u
129
− 96.6569u
128
+ ··· − 847.639u + 3887.02
141.255u
129
− 98.2425u
128
+ ··· − 673.486u + 3861.62
a
12
=
604.791u
129
− 416.864u
128
+ ··· − 3262.60u + 16766.7
548.815u
129
− 376.029u
128
+ ··· − 2908.26u + 15158.3
a
9
=
75.2273u
129
− 49.1018u
128
+ ··· − 463.385u + 2139.10
44.2171u
129
− 27.8912u
128
+ ··· − 437.538u + 1348.93
a
4
=
174.835u
129
− 119.982u
128
+ ··· − 1033.66u + 4885.75
147.231u
129
− 101.881u
128
+ ··· − 772.157u + 4071.79
a
10
=
68.3738u
129
− 46.0275u
128
+ ··· − 388.370u + 1947.21
32.4426u
129
− 19.4696u
128
+ ··· − 357.179u + 990.890
(ii) Obstruction class = −1
(iii) Cusp Shapes = 10825.7u
129
− 7363.34u
128
+ ··· − 62607.4u + 302443.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
130
+ 36u
129
+ ··· + 5212u + 361
c
2
, c
6
u
130
− 18u
128
+ ··· + 24u + 19
c
3
u
130
− 2u
129
+ ··· + 3935u − 631
c
4
u
130
+ 3u
129
+ ··· + 1170u − 47
c
5
, c
11
u
130
− 2u
129
+ ··· − 142u − 118
c
8
u
130
− u
129
+ ··· − 21u + 1
c
9
u
130
− 4u
129
+ ··· − 29836u − 4154
c
10
u
130
+ u
129
+ ··· + 15754265u + 1219943
c
12
u
130
+ 4u
129
+ ··· − 253u − 29
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
130
+ 124y
129
+ ··· − 5800964y + 130321
c
2
, c
6
y
130
− 36y
129
+ ··· − 5212y + 361
c
3
y
130
− 28y
129
+ ··· − 8496531y + 398161
c
4
y
130
+ 35y
129
+ ··· + 573328y + 2209
c
5
, c
11
y
130
+ 94y
129
+ ··· + 551900y + 13924
c
8
y
130
− 3y
129
+ ··· − 123y + 1
c
9
y
130
− 36y
129
+ ··· − 1371735192y + 17255716
c
10
y
130
+ 59y
129
+ ··· − 175337048515489y + 1488260923249
c
12
y
130
+ 10y
129
+ ··· + 55007y + 841
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.971820 + 0.318322I
a = −1.96058 + 0.11989I
b = −0.328312 − 1.013250I
−1.59255 − 5.76211I 0
u = 0.971820 − 0.318322I
a = −1.96058 − 0.11989I
b = −0.328312 + 1.013250I
−1.59255 + 5.76211I 0
u = −1.017450 + 0.170828I
a = −1.53911 + 0.53482I
b = −0.265359 + 1.259990I
−0.52079 + 5.09722I 0
u = −1.017450 − 0.170828I
a = −1.53911 − 0.53482I
b = −0.265359 − 1.259990I
−0.52079 − 5.09722I 0
u = −0.941754 + 0.219556I
a = −0.025305 − 0.709280I
b = −0.178765 − 0.810853I
−2.16602 − 0.20492I 0
u = −0.941754 − 0.219556I
a = −0.025305 + 0.709280I
b = −0.178765 + 0.810853I
−2.16602 + 0.20492I 0
u = 0.940973 + 0.207439I
a = −0.412169 − 0.864761I
b = 0.134714 + 0.091228I
−1.11111 − 3.85397I 0
u = 0.940973 − 0.207439I
a = −0.412169 + 0.864761I
b = 0.134714 − 0.091228I
−1.11111 + 3.85397I 0
u = −0.863468 + 0.605766I
a = −0.53716 − 1.54890I
b = −0.143737 + 0.286338I
−1.99505 + 2.37644I 0
u = −0.863468 − 0.605766I
a = −0.53716 + 1.54890I
b = −0.143737 − 0.286338I
−1.99505 − 2.37644I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.044054 + 0.934433I
a = 0.31012 − 1.59875I
b = −0.190225 + 1.262710I
5.99163 + 0.69082I 0
u = 0.044054 − 0.934433I
a = 0.31012 + 1.59875I
b = −0.190225 − 1.262710I
5.99163 − 0.69082I 0
u = 1.031220 + 0.271964I
a = 0.736351 − 0.470261I
b = 1.069580 + 0.094826I
−3.56831 − 8.16461I 0
u = 1.031220 − 0.271964I
a = 0.736351 + 0.470261I
b = 1.069580 − 0.094826I
−3.56831 + 8.16461I 0
u = 0.767651 + 0.757434I
a = 0.837821 − 1.017100I
b = −0.449209 + 1.189530I
3.52869 − 1.51153I 0
u = 0.767651 − 0.757434I
a = 0.837821 + 1.017100I
b = −0.449209 − 1.189530I
3.52869 + 1.51153I 0
u = −1.048300 + 0.280427I
a = 0.489018 + 0.912292I
b = 0.799574 − 0.225351I
−3.52326 − 1.68443I 0
u = −1.048300 − 0.280427I
a = 0.489018 − 0.912292I
b = 0.799574 + 0.225351I
−3.52326 + 1.68443I 0
u = 0.903272 + 0.118602I
a = −1.60202 − 0.03005I
b = −0.600373 + 0.032922I
−4.33624 − 1.85376I 0
u = 0.903272 − 0.118602I
a = −1.60202 + 0.03005I
b = −0.600373 − 0.032922I
−4.33624 + 1.85376I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.792156 + 0.435165I
a = −1.65607 + 2.09988I
b = −0.175636 − 0.756757I
−2.71989 − 1.74275I 0
u = 0.792156 − 0.435165I
a = −1.65607 − 2.09988I
b = −0.175636 + 0.756757I
−2.71989 + 1.74275I 0
u = −0.825296 + 0.723783I
a = −0.089038 − 0.126982I
b = 0.743422 + 0.214389I
0.793418 − 0.342688I 0
u = −0.825296 − 0.723783I
a = −0.089038 + 0.126982I
b = 0.743422 − 0.214389I
0.793418 + 0.342688I 0
u = −0.858541 + 0.271602I
a = −1.163190 − 0.673148I
b = −0.580498 − 0.464868I
−3.28567 + 2.08006I 0
u = −0.858541 − 0.271602I
a = −1.163190 + 0.673148I
b = −0.580498 + 0.464868I
−3.28567 − 2.08006I 0
u = −0.134991 + 0.888141I
a = 0.25129 + 1.77515I
b = −0.357477 − 1.330400I
4.26779 − 9.16492I 0
u = −0.134991 − 0.888141I
a = 0.25129 − 1.77515I
b = −0.357477 + 1.330400I
4.26779 + 9.16492I 0
u = 0.783348 + 0.793417I
a = 0.31023 + 1.89747I
b = 0.305647 − 1.367590I
5.76218 + 4.13295I 0
u = 0.783348 − 0.793417I
a = 0.31023 − 1.89747I
b = 0.305647 + 1.367590I
5.76218 − 4.13295I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.014490 + 0.485433I
a = 0.949019 + 0.007823I
b = −0.116971 + 1.237110I
1.28199 − 1.11458I 0
u = 1.014490 − 0.485433I
a = 0.949019 − 0.007823I
b = −0.116971 − 1.237110I
1.28199 + 1.11458I 0
u = −0.854806 + 0.147106I
a = 0.547401 + 0.129923I
b = 0.917788 + 0.231374I
−0.908809 + 0.305522I 0
u = −0.854806 − 0.147106I
a = 0.547401 − 0.129923I
b = 0.917788 − 0.231374I
−0.908809 − 0.305522I 0
u = −0.770784 + 0.848693I
a = 0.910958 − 0.051963I
b = −1.154470 − 0.413991I
3.77773 − 7.09884I 0
u = −0.770784 − 0.848693I
a = 0.910958 + 0.051963I
b = −1.154470 + 0.413991I
3.77773 + 7.09884I 0
u = −0.797556 + 0.823599I
a = 0.579961 + 0.247193I
b = 0.252758 + 0.230091I
5.51943 − 2.25201I 0
u = −0.797556 − 0.823599I
a = 0.579961 − 0.247193I
b = 0.252758 − 0.230091I
5.51943 + 2.25201I 0
u = 0.841177 + 0.781346I
a = 1.30765 + 1.50353I
b = −1.89413 − 0.02612I
4.69793 − 1.89404I 0
u = 0.841177 − 0.781346I
a = 1.30765 − 1.50353I
b = −1.89413 + 0.02612I
4.69793 + 1.89404I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.776839 + 0.315662I
a = −2.31996 − 0.26698I
b = −0.518726 − 1.230210I
3.21725 − 6.68543I 0
u = 0.776839 − 0.315662I
a = −2.31996 + 0.26698I
b = −0.518726 + 1.230210I
3.21725 + 6.68543I 0
u = −1.108480 + 0.379247I
a = 1.39398 + 0.66074I
b = 0.47049 − 1.35310I
0.94968 + 13.54130I 0
u = −1.108480 − 0.379247I
a = 1.39398 − 0.66074I
b = 0.47049 + 1.35310I
0.94968 − 13.54130I 0
u = −0.918989 + 0.727834I
a = −0.313528 − 1.052260I
b = −0.797138 + 0.136335I
0.50881 + 5.89286I 0
u = −0.918989 − 0.727834I
a = −0.313528 + 1.052260I
b = −0.797138 − 0.136335I
0.50881 − 5.89286I 0
u = 0.845638 + 0.824503I
a = 0.086670 − 0.647207I
b = 0.845652 + 0.355743I
3.37975 − 0.59723I 0
u = 0.845638 − 0.824503I
a = 0.086670 + 0.647207I
b = 0.845652 − 0.355743I
3.37975 + 0.59723I 0
u = −0.812113 + 0.858736I
a = 0.26423 − 1.53413I
b = 0.366298 + 1.160600I
5.96641 − 3.88382I 0
u = −0.812113 − 0.858736I
a = 0.26423 + 1.53413I
b = 0.366298 − 1.160600I
5.96641 + 3.88382I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.887135 + 0.784212I
a = −1.42560 + 2.68074I
b = −0.02986 − 1.99304I
6.05045 − 2.95075I 0
u = 0.887135 − 0.784212I
a = −1.42560 − 2.68074I
b = −0.02986 + 1.99304I
6.05045 + 2.95075I 0
u = 0.821998 + 0.870740I
a = 0.452658 − 0.502702I
b = −0.041717 + 0.197614I
4.46893 − 2.84022I 0
u = 0.821998 − 0.870740I
a = 0.452658 + 0.502702I
b = −0.041717 − 0.197614I
4.46893 + 2.84022I 0
u = 0.888684 + 0.802898I
a = −0.48522 − 2.41345I
b = −0.037240 + 1.261580I
8.53887 − 7.30535I 0
u = 0.888684 − 0.802898I
a = −0.48522 + 2.41345I
b = −0.037240 − 1.261580I
8.53887 + 7.30535I 0
u = 0.745900 + 0.937975I
a = 0.02739 + 1.68294I
b = 0.098701 − 1.342070I
10.53650 + 3.58708I 0
u = 0.745900 − 0.937975I
a = 0.02739 − 1.68294I
b = 0.098701 + 1.342070I
10.53650 − 3.58708I 0
u = 0.924928 + 0.763547I
a = −1.18150 − 0.98306I
b = 1.76866 − 0.16182I
4.43925 − 3.93588I 0
u = 0.924928 − 0.763547I
a = −1.18150 + 0.98306I
b = 1.76866 + 0.16182I
4.43925 + 3.93588I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.866506 + 0.829319I
a = −0.65168 − 1.65528I
b = 0.55842 + 1.52847I
9.91603 − 3.24616I 0
u = −0.866506 − 0.829319I
a = −0.65168 + 1.65528I
b = 0.55842 − 1.52847I
9.91603 + 3.24616I 0
u = 0.895308 + 0.802002I
a = 2.26505 − 2.19717I
b = 0.055551 + 1.218550I
8.51913 + 1.29090I 0
u = 0.895308 − 0.802002I
a = 2.26505 + 2.19717I
b = 0.055551 − 1.218550I
8.51913 − 1.29090I 0
u = −0.775321 + 0.924411I
a = 0.54239 + 1.86817I
b = −0.42932 − 1.51031I
11.26430 − 4.52932I 0
u = −0.775321 − 0.924411I
a = 0.54239 − 1.86817I
b = −0.42932 + 1.51031I
11.26430 + 4.52932I 0
u = 1.133300 + 0.414980I
a = 0.942047 − 0.685512I
b = 0.446705 + 1.211880I
2.34201 − 5.30896I 0
u = 1.133300 − 0.414980I
a = 0.942047 + 0.685512I
b = 0.446705 − 1.211880I
2.34201 + 5.30896I 0
u = 0.775455 + 0.926255I
a = 0.34167 − 1.93070I
b = −0.45197 + 1.49777I
9.7299 + 12.7355I 0
u = 0.775455 − 0.926255I
a = 0.34167 + 1.93070I
b = −0.45197 − 1.49777I
9.7299 − 12.7355I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.207490 + 0.107051I
a = −0.0860143 − 0.0229712I
b = 0.329549 − 1.154850I
−0.69332 + 5.77522I 0
u = 1.207490 − 0.107051I
a = −0.0860143 + 0.0229712I
b = 0.329549 + 1.154850I
−0.69332 − 5.77522I 0
u = 0.641995 + 0.454168I
a = 1.33017 − 1.83840I
b = 0.055512 + 1.316010I
2.86300 − 1.76850I 0
u = 0.641995 − 0.454168I
a = 1.33017 + 1.83840I
b = 0.055512 − 1.316010I
2.86300 + 1.76850I 0
u = 0.977549 + 0.725933I
a = 0.69773 − 1.39693I
b = 0.585794 + 1.031470I
2.88601 − 4.13889I 0
u = 0.977549 − 0.725933I
a = 0.69773 + 1.39693I
b = 0.585794 − 1.031470I
2.88601 + 4.13889I 0
u = −0.879267 + 0.842453I
a = 0.45459 + 2.03773I
b = −0.083174 − 1.404610I
9.83248 + 2.81267I 0
u = −0.879267 − 0.842453I
a = 0.45459 − 2.03773I
b = −0.083174 + 1.404610I
9.83248 − 2.81267I 0
u = 0.967901 + 0.753551I
a = −2.07407 + 1.82010I
b = −0.335530 − 1.351480I
5.19767 − 9.96965I 0
u = 0.967901 − 0.753551I
a = −2.07407 − 1.82010I
b = −0.335530 + 1.351480I
5.19767 + 9.96965I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.924896 + 0.809484I
a = −1.33981 − 2.19463I
b = −0.60712 + 1.50546I
9.73380 + 9.36403I 0
u = −0.924896 − 0.809484I
a = −1.33981 + 2.19463I
b = −0.60712 − 1.50546I
9.73380 − 9.36403I 0
u = 0.938416 + 0.796157I
a = 0.277742 + 0.435214I
b = −0.842344 + 0.407957I
3.09214 − 5.46479I 0
u = 0.938416 − 0.796157I
a = 0.277742 − 0.435214I
b = −0.842344 − 0.407957I
3.09214 + 5.46479I 0
u = −1.184960 + 0.336978I
a = −0.921879 − 0.193712I
b = 0.021539 + 1.165930I
1.81716 + 3.63422I 0
u = −1.184960 − 0.336978I
a = −0.921879 + 0.193712I
b = 0.021539 − 1.165930I
1.81716 − 3.63422I 0
u = −0.903926 + 0.840111I
a = 0.89528 + 2.49087I
b = 0.012218 − 1.395300I
9.80247 + 3.12417I 0
u = −0.903926 − 0.840111I
a = 0.89528 − 2.49087I
b = 0.012218 + 1.395300I
9.80247 − 3.12417I 0
u = −0.920227 + 0.826201I
a = 1.33453 + 2.06889I
b = 0.118281 − 1.366350I
9.70356 + 3.39585I 0
u = −0.920227 − 0.826201I
a = 1.33453 − 2.06889I
b = 0.118281 + 1.366350I
9.70356 − 3.39585I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.967713 + 0.772824I
a = −0.716927 + 0.019216I
b = −0.290002 + 0.128858I
4.99382 + 8.23429I 0
u = −0.967713 − 0.772824I
a = −0.716927 − 0.019216I
b = −0.290002 − 0.128858I
4.99382 − 8.23429I 0
u = −0.724507 + 0.234472I
a = 3.49443 − 1.28127I
b = −0.162636 − 1.071360I
2.77776 − 3.54770I 0
u = −0.724507 − 0.234472I
a = 3.49443 + 1.28127I
b = −0.162636 + 1.071360I
2.77776 + 3.54770I 0
u = 0.643325 + 0.402813I
a = 2.31112 − 1.18492I
b = −0.137169 + 1.144930I
2.84284 − 1.56897I 0
u = 0.643325 − 0.402813I
a = 2.31112 + 1.18492I
b = −0.137169 − 1.144930I
2.84284 + 1.56897I 0
u = 0.957501 + 0.811951I
a = 0.006918 − 0.363408I
b = −0.091790 + 0.313940I
4.04923 − 3.39882I 0
u = 0.957501 − 0.811951I
a = 0.006918 + 0.363408I
b = −0.091790 − 0.313940I
4.04923 + 3.39882I 0
u = −0.990628 + 0.777226I
a = −0.172869 + 1.343180I
b = 1.228930 − 0.368111I
3.10114 + 13.16380I 0
u = −0.990628 − 0.777226I
a = −0.172869 − 1.343180I
b = 1.228930 + 0.368111I
3.10114 − 13.16380I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.974807 + 0.800519I
a = −1.72991 − 1.71508I
b = −0.393973 + 1.144830I
5.45956 + 10.05950I 0
u = −0.974807 − 0.800519I
a = −1.72991 + 1.71508I
b = −0.393973 − 1.144830I
5.45956 − 10.05950I 0
u = −0.719207 + 0.122164I
a = −1.84817 + 0.29714I
b = −0.13089 + 1.74673I
0.988939 + 0.543297I 0
u = −0.719207 − 0.122164I
a = −1.84817 − 0.29714I
b = −0.13089 − 1.74673I
0.988939 − 0.543297I 0
u = −1.023520 + 0.813170I
a = 1.26975 + 2.03774I
b = 0.48551 − 1.52381I
10.4789 + 10.9316I 0
u = −1.023520 − 0.813170I
a = 1.26975 − 2.03774I
b = 0.48551 + 1.52381I
10.4789 − 10.9316I 0
u = 1.025740 + 0.813083I
a = 1.46781 − 2.08551I
b = 0.48468 + 1.50480I
8.9358 − 19.1450I 0
u = 1.025740 − 0.813083I
a = 1.46781 + 2.08551I
b = 0.48468 − 1.50480I
8.9358 + 19.1450I 0
u = −0.018514 + 0.687643I
a = 0.816715 + 0.382091I
b = −0.789110 + 0.112428I
−0.24353 + 4.99657I 0
u = −0.018514 − 0.687643I
a = 0.816715 − 0.382091I
b = −0.789110 − 0.112428I
−0.24353 − 4.99657I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.044260 + 0.804732I
a = −1.49296 + 1.44075I
b = −0.148581 − 1.320310I
9.59496 − 9.99746I 0
u = 1.044260 − 0.804732I
a = −1.49296 − 1.44075I
b = −0.148581 + 1.320310I
9.59496 + 9.99746I 0
u = −0.681630
a = −4.00479
b = −3.21026
0.719139 −775.980
u = −0.656424 + 0.170772I
a = 0.26167 + 3.49264I
b = 0.158738 − 1.299710I
3.10576 + 5.32366I 0
u = −0.656424 − 0.170772I
a = 0.26167 − 3.49264I
b = 0.158738 + 1.299710I
3.10576 − 5.32366I 0
u = 0.284445 + 0.612127I
a = 0.40095 − 1.51057I
b = 0.173496 + 1.327890I
3.33859 − 3.00489I 0
u = 0.284445 − 0.612127I
a = 0.40095 + 1.51057I
b = 0.173496 − 1.327890I
3.33859 + 3.00489I 0
u = −0.763357 + 1.117130I
a = −0.13817 − 1.62766I
b = −0.066541 + 1.218260I
7.62789 + 3.46578I 0
u = −0.763357 − 1.117130I
a = −0.13817 + 1.62766I
b = −0.066541 − 1.218260I
7.62789 − 3.46578I 0
u = −0.638214
a = 0.558775
b = 0.551963
−0.993846 −10.4150
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.047110 + 0.920673I
a = −0.87098 − 1.62332I
b = −0.028927 + 1.199400I
6.76857 + 3.80673I 0
u = −1.047110 − 0.920673I
a = −0.87098 + 1.62332I
b = −0.028927 − 1.199400I
6.76857 − 3.80673I 0
u = 0.124573 + 0.585779I
a = 0.51931 + 1.32308I
b = 0.189100 − 1.049600I
0.99196 + 2.53913I −6.00000 − 4.37216I
u = 0.124573 − 0.585779I
a = 0.51931 − 1.32308I
b = 0.189100 + 1.049600I
0.99196 − 2.53913I −6.00000 + 4.37216I
u = 0.472372 + 0.367480I
a = −0.043926 + 0.971105I
b = 0.331246 − 1.369500I
4.14193 + 3.94885I 0
u = 0.472372 − 0.367480I
a = −0.043926 − 0.971105I
b = 0.331246 + 1.369500I
4.14193 − 3.94885I 0
u = 0.054560 + 0.437689I
a = 1.52948 − 0.70992I
b = −0.410200 − 0.345519I
1.45413 + 1.51736I 0.81801 − 1.31210I
u = 0.054560 − 0.437689I
a = 1.52948 + 0.70992I
b = −0.410200 + 0.345519I
1.45413 − 1.51736I 0.81801 + 1.31210I
u = −0.172115 + 0.383429I
a = 0.643553 + 0.174367I
b = 0.579711 − 0.185545I
−1.46801 + 0.44199I −7.72976 − 1.36498I
u = −0.172115 − 0.383429I
a = 0.643553 − 0.174367I
b = 0.579711 + 0.185545I
−1.46801 − 0.44199I −7.72976 + 1.36498I
17
II. I
u
2
=
h−13u
20
−15u
19
+· · ·+b+14, 19u
20
+35u
19
+· · ·+a−59, u
21
+u
20
+· · ·−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
8
=
−u
2
+ 1
u
2
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
−19u
20
− 35u
19
+ ··· + 41u + 59
13u
20
+ 15u
19
+ ··· − 32u − 14
a
5
=
−30u
20
− 30u
19
+ ··· + 77u + 14
−14u
20
− 10u
19
+ ··· + 48u − 4
a
12
=
54u
20
+ 35u
19
+ ··· − 172u + 25
28u
20
+ 4u
19
+ ··· − 110u + 55
a
9
=
−10u
20
− 22u
19
+ ··· + 20u + 41
13u
20
+ 15u
19
+ ··· − 32u − 14
a
4
=
−27u
20
− 22u
19
+ ··· + 83u + 2
−u
20
+ 12u
19
+ ··· + 19u − 38
a
10
=
−10u
20
− 21u
19
+ ··· + 21u + 38
15u
20
+ 19u
19
+ ··· − 36u − 21
(ii) Obstruction class = 1
(iii) Cusp Shapes = 649u
20
+ 235u
19
− 2070u
18
− 1900u
17
+ 6328u
16
+ 5578u
15
−
11785u
14
− 13547u
13
+ 18689u
12
+ 21711u
11
− 22496u
10
− 28594u
9
+ 22369u
8
+
27727u
7
− 16761u
6
− 20367u
5
+ 10303u
4
+ 9977u
3
− 3757u
2
− 2328u + 873
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
21
− 7u
20
+ ··· + 17u − 1
c
2
u
21
− u
20
+ ··· − u − 1
c
3
u
21
− 3u
20
+ ··· − 4u − 1
c
4
u
21
+ 2u
19
+ ··· + 5u − 1
c
5
u
21
− 3u
20
+ ··· − 8u − 2
c
6
u
21
+ u
20
+ ··· − u + 1
c
7
u
21
+ 7u
20
+ ··· + 17u + 1
c
8
u
21
+ 4u
20
+ ··· + 14u − 1
c
9
u
21
− 3u
20
+ ··· − 6u + 2
c
10
u
21
+ 8u
20
+ ··· + 31u
2
− 1
c
11
u
21
+ 3u
20
+ ··· − 8u + 2
c
12
u
21
+ 3u
20
+ ··· − 2u + 1
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
21
+ 21y
20
+ ··· + 37y −1
c
2
, c
6
y
21
− 7y
20
+ ··· + 17y −1
c
3
y
21
− 15y
20
+ ··· − 8y −1
c
4
y
21
+ 4y
20
+ ··· − 15y −1
c
5
, c
11
y
21
+ 7y
20
+ ··· − 76y −4
c
8
y
21
− 10y
20
+ ··· + 104y −1
c
9
y
21
− 3y
20
+ ··· + 48y −4
c
10
y
21
+ 16y
20
+ ··· + 62y −1
c
12
y
21
− y
20
+ ··· − 14y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.915720 + 0.427894I
a = 0.755059 − 0.078753I
b = −0.110217 − 1.262770I
1.10096 + 1.71022I −9.08478 − 6.72830I
u = −0.915720 − 0.427894I
a = 0.755059 + 0.078753I
b = −0.110217 + 1.262770I
1.10096 − 1.71022I −9.08478 + 6.72830I
u = 0.848362 + 0.596405I
a = −0.92300 + 1.71059I
b = −0.063339 − 0.591717I
−1.56401 − 2.35386I 2.03345 + 3.84287I
u = 0.848362 − 0.596405I
a = −0.92300 − 1.71059I
b = −0.063339 + 0.591717I
−1.56401 + 2.35386I 2.03345 − 3.84287I
u = 1.068570 + 0.156991I
a = −0.798437 − 0.546223I
b = −0.253876 − 1.148320I
0.61142 − 5.23333I −4.34550 + 7.92167I
u = 1.068570 − 0.156991I
a = −0.798437 + 0.546223I
b = −0.253876 + 1.148320I
0.61142 + 5.23333I −4.34550 − 7.92167I
u = 0.791255 + 0.791497I
a = −1.192410 − 0.063616I
b = 1.056430 − 0.673783I
4.32427 − 1.75661I −2.51202 + 6.94256I
u = 0.791255 − 0.791497I
a = −1.192410 + 0.063616I
b = 1.056430 + 0.673783I
4.32427 + 1.75661I −2.51202 − 6.94256I
u = −0.800520 + 0.821514I
a = 0.352568 − 1.294620I
b = 0.351082 + 1.231830I
7.10267 − 4.16826I 1.76200 + 4.94625I
u = −0.800520 − 0.821514I
a = 0.352568 + 1.294620I
b = 0.351082 − 1.231830I
7.10267 + 4.16826I 1.76200 − 4.94625I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.775998 + 0.245611I
a = −1.51610 − 1.14279I
b = −0.174017 − 0.277046I
−3.38301 + 1.03585I −14.0632 + 2.0069I
u = −0.775998 − 0.245611I
a = −1.51610 + 1.14279I
b = −0.174017 + 0.277046I
−3.38301 − 1.03585I −14.0632 − 2.0069I
u = −0.971001 + 0.773987I
a = −1.85433 − 1.41027I
b = −0.366557 + 1.205620I
6.57530 + 10.15420I 0.64790 − 9.81133I
u = −0.971001 − 0.773987I
a = −1.85433 + 1.41027I
b = −0.366557 − 1.205620I
6.57530 − 10.15420I 0.64790 + 9.81133I
u = 0.983375 + 0.777314I
a = −0.057774 + 1.027000I
b = −0.740809 − 0.479521I
3.72911 − 4.15565I −2.21704 + 4.21777I
u = 0.983375 − 0.777314I
a = −0.057774 − 1.027000I
b = −0.740809 + 0.479521I
3.72911 + 4.15565I −2.21704 − 4.21777I
u = −0.675645
a = 3.84735
b = 2.99777
0.725137 565.730
u = −0.876090 + 1.040190I
a = 0.33865 + 1.74242I
b = 0.056777 − 1.219150I
7.44988 + 3.70761I 0.57273 − 13.92750I
u = −0.876090 − 1.040190I
a = 0.33865 − 1.74242I
b = 0.056777 + 1.219150I
7.44988 − 3.70761I 0.57273 + 13.92750I
u = 0.485587 + 0.016312I
a = 2.47210 − 3.34317I
b = 0.245635 + 1.268450I
3.29965 − 4.70006I −3.15757 + 3.07340I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.485587 − 0.016312I
a = 2.47210 + 3.34317I
b = 0.245635 − 1.268450I
3.29965 + 4.70006I −3.15757 − 3.07340I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
21
− 7u
20
+ ··· + 17u − 1)(u
130
+ 36u
129
+ ··· + 5212u + 361)
c
2
(u
21
− u
20
+ ··· − u − 1)(u
130
− 18u
128
+ ··· + 24u + 19)
c
3
(u
21
− 3u
20
+ ··· − 4u − 1)(u
130
− 2u
129
+ ··· + 3935u − 631)
c
4
(u
21
+ 2u
19
+ ··· + 5u − 1)(u
130
+ 3u
129
+ ··· + 1170u − 47)
c
5
(u
21
− 3u
20
+ ··· − 8u − 2)(u
130
− 2u
129
+ ··· − 142u − 118)
c
6
(u
21
+ u
20
+ ··· − u + 1)(u
130
− 18u
128
+ ··· + 24u + 19)
c
7
(u
21
+ 7u
20
+ ··· + 17u + 1)(u
130
+ 36u
129
+ ··· + 5212u + 361)
c
8
(u
21
+ 4u
20
+ ··· + 14u − 1)(u
130
− u
129
+ ··· − 21u + 1)
c
9
(u
21
− 3u
20
+ ··· − 6u + 2)(u
130
− 4u
129
+ ··· − 29836u − 4154)
c
10
(u
21
+ 8u
20
+ ··· + 31u
2
− 1)
· (u
130
+ u
129
+ ··· + 15754265u + 1219943)
c
11
(u
21
+ 3u
20
+ ··· − 8u + 2)(u
130
− 2u
129
+ ··· − 142u − 118)
c
12
(u
21
+ 3u
20
+ ··· − 2u + 1)(u
130
+ 4u
129
+ ··· − 253u − 29)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
21
+ 21y
20
+ ··· + 37y −1)
· (y
130
+ 124y
129
+ ··· − 5800964y + 130321)
c
2
, c
6
(y
21
− 7y
20
+ ··· + 17y −1)(y
130
− 36y
129
+ ··· − 5212y + 361)
c
3
(y
21
− 15y
20
+ ··· − 8y −1)
· (y
130
− 28y
129
+ ··· − 8496531y + 398161)
c
4
(y
21
+ 4y
20
+ ··· − 15y −1)(y
130
+ 35y
129
+ ··· + 573328y + 2209)
c
5
, c
11
(y
21
+ 7y
20
+ ··· − 76y −4)(y
130
+ 94y
129
+ ··· + 551900y + 13924)
c
8
(y
21
− 10y
20
+ ··· + 104y −1)(y
130
− 3y
129
+ ··· − 123y + 1)
c
9
(y
21
− 3y
20
+ ··· + 48y −4)
· (y
130
− 36y
129
+ ··· − 1371735192y + 17255716)
c
10
(y
21
+ 16y
20
+ ··· + 62y −1)
· (y
130
+ 59y
129
+ ··· − 175337048515489y + 1488260923249)
c
12
(y
21
− y
20
+ ··· − 14y −1)(y
130
+ 10y
129
+ ··· + 55007y + 841)
27
