12a
1186
(K12a
1186
)
A knot diagram
1
Linearized knot diagam
4 10 9 12 2 3 11 1 6 7 5 8
Solving Sequence
8,12
1
5,9
4 2 3 11 7 6 10
c
12
c
8
c
4
c
1
c
3
c
11
c
7
c
6
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.29362 × 10
974
u
160
+ 9.03975 × 10
975
u
159
+ ··· + 2.56768 × 10
977
b − 5.48790 × 10
979
,
2.14000 × 10
981
u
160
+ 8.49665 × 10
979
u
159
+ ··· + 7.75053 × 10
982
a + 1.27842 × 10
985
,
u
161
+ u
160
+ ··· + 24936u + 6037i
I
u
2
= h8.82947 × 10
39
u
38
− 3.03134 × 10
39
u
37
+ ··· + 1.76750 × 10
39
b − 1.68233 × 10
39
,
6.00426 × 10
41
u
38
− 8.14543 × 10
40
u
37
+ ··· + 4.41875 × 10
40
a + 1.01665 × 10
42
, u
39
− 11u
37
+ ··· + 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 200 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−4.29 × 10
974
u
160
+ 9.04 × 10
975
u
159
+ · · · + 2.57 × 10
977
b − 5.49 ×
10
979
, 2.14 × 10
981
u
160
+ 8.50 × 10
979
u
159
+ · · · + 7.75 × 10
982
a + 1.28 ×
10
985
, u
161
+ u
160
+ · · · + 24936u + 6037i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.0276110u
160
− 0.00109627u
159
+ ··· − 596.130u − 164.946
0.00167218u
160
− 0.0352059u
159
+ ··· + 881.794u + 213.730
a
9
=
−u
−u
3
+ u
a
4
=
−0.0259389u
160
− 0.0363022u
159
+ ··· + 285.664u + 48.7846
0.00167218u
160
− 0.0352059u
159
+ ··· + 881.794u + 213.730
a
2
=
0.0140242u
160
+ 0.0992901u
159
+ ··· − 2567.63u − 568.860
0.0512106u
160
+ 0.0914353u
159
+ ··· − 1358.16u − 259.711
a
3
=
−0.0283411u
160
+ 0.00279385u
159
+ ··· − 716.842u − 195.452
0.00124565u
160
− 0.0347879u
159
+ ··· + 864.002u + 207.442
a
11
=
0.0511473u
160
+ 0.0914235u
159
+ ··· − 1305.75u − 241.050
−0.0126687u
160
+ 0.0104702u
159
+ ··· − 455.455u − 123.126
a
7
=
0.0636829u
160
+ 0.0996925u
159
+ ··· − 1408.75u − 255.065
0.00974077u
160
+ 0.0620108u
159
+ ··· − 1360.10u − 317.976
a
6
=
0.0711499u
160
+ 0.0878869u
159
+ ··· − 1083.95u − 147.955
0.0378081u
160
+ 0.0759707u
159
+ ··· − 1106.45u − 204.614
a
10
=
0.665656u
160
+ 1.37405u
159
+ ··· − 21354.7u − 4205.34
−0.0352658u
160
− 0.0888632u
159
+ ··· + 1676.79u + 350.164
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.338853u
160
− 0.432348u
159
+ ··· + 7021.47u + 747.654
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
5(5u
161
+ 14u
160
+ ··· + 298224u − 35381)
c
2
u
161
− 9u
160
+ ··· − 548262u + 99355
c
3
u
161
− 7u
160
+ ··· + 4011301212363u + 841089013283
c
4
, c
11
u
161
+ 45u
159
+ ··· + 4938u + 811
c
5
u
161
− 2u
160
+ ··· + 765004288u + 512157412
c
6
u
161
− 9u
160
+ ··· − 454022u − 31165
c
7
, c
10
5(5u
161
+ 13u
160
+ ··· − 906128u − 1823792)
c
8
, c
12
u
161
− u
160
+ ··· + 24936u − 6037
c
9
5(5u
161
− 2u
160
+ ··· − 51u − 1)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
161
− 1686y
160
+ ··· + 4.37080 × 10
11
y −1.25182 × 10
9
)
c
2
y
161
− 85y
160
+ ··· + 456455767864y −9871416025
c
3
y
161
+ 49y
160
+ ··· − 3.51 × 10
25
y −7.07 × 10
23
c
4
, c
11
y
161
+ 90y
160
+ ··· + 12246418y −657721
c
5
y
161
− 36y
160
+ ··· − 6.33 × 10
18
y −2.62 × 10
17
c
6
y
161
+ 61y
160
+ ··· + 157597174614y −971257225
c
7
, c
10
25
· (25y
161
− 2849y
160
+ ··· − 219322678065152y −3326217259264)
c
8
, c
12
y
161
− 105y
160
+ ··· + 3354234814y −36445369
c
9
25(25y
161
+ 1126y
160
+ ··· + 1967y −1)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.997231 + 0.047117I
a = −0.43191 − 1.44048I
b = −0.10014 + 1.49479I
−1.88652 − 1.20331I 0
u = 0.997231 − 0.047117I
a = −0.43191 + 1.44048I
b = −0.10014 − 1.49479I
−1.88652 + 1.20331I 0
u = 1.001590 + 0.013656I
a = 4.17228 + 0.26887I
b = 0.131236 − 0.863602I
−3.63160 − 0.05409I 0
u = 1.001590 − 0.013656I
a = 4.17228 − 0.26887I
b = 0.131236 + 0.863602I
−3.63160 + 0.05409I 0
u = 0.469079 + 0.869391I
a = 0.793271 − 0.991446I
b = −0.603780 + 0.420923I
−5.56060 − 0.85512I 0
u = 0.469079 − 0.869391I
a = 0.793271 + 0.991446I
b = −0.603780 − 0.420923I
−5.56060 + 0.85512I 0
u = −1.019120 + 0.053244I
a = −0.106597 − 0.984322I
b = −0.08565 + 2.19234I
−2.73668 + 6.02897I 0
u = −1.019120 − 0.053244I
a = −0.106597 + 0.984322I
b = −0.08565 − 2.19234I
−2.73668 − 6.02897I 0
u = −0.879021 + 0.412006I
a = 1.05605 + 1.06424I
b = 0.279868 − 0.990779I
1.84415 + 2.12053I 0
u = −0.879021 − 0.412006I
a = 1.05605 − 1.06424I
b = 0.279868 + 0.990779I
1.84415 − 2.12053I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.924911 + 0.273015I
a = −0.392924 + 0.428602I
b = 0.40296 − 1.66723I
−0.86418 − 3.14112I 0
u = 0.924911 − 0.273015I
a = −0.392924 − 0.428602I
b = 0.40296 + 1.66723I
−0.86418 + 3.14112I 0
u = 0.205271 + 1.020660I
a = −0.38916 + 1.69345I
b = 0.545906 − 0.623479I
−4.32822 + 0.22652I 0
u = 0.205271 − 1.020660I
a = −0.38916 − 1.69345I
b = 0.545906 + 0.623479I
−4.32822 − 0.22652I 0
u = 0.234051 + 0.919743I
a = −0.41837 − 1.46533I
b = 0.504875 + 1.181830I
−1.05075 − 5.36609I 0
u = 0.234051 − 0.919743I
a = −0.41837 + 1.46533I
b = 0.504875 − 1.181830I
−1.05075 + 5.36609I 0
u = 0.083853 + 0.943879I
a = −0.08194 − 1.69278I
b = −0.338894 + 1.231970I
2.03563 + 8.47449I 0
u = 0.083853 − 0.943879I
a = −0.08194 + 1.69278I
b = −0.338894 − 1.231970I
2.03563 − 8.47449I 0
u = −0.450880 + 0.828705I
a = 0.374284 + 1.317450I
b = 0.121510 − 1.181440I
2.90186 + 2.53799I 0
u = −0.450880 − 0.828705I
a = 0.374284 − 1.317450I
b = 0.121510 + 1.181440I
2.90186 − 2.53799I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.929111 + 0.163151I
a = 0.379863 − 0.077376I
b = 0.921115 − 0.244664I
−0.980980 − 0.322040I 0
u = 0.929111 − 0.163151I
a = 0.379863 + 0.077376I
b = 0.921115 + 0.244664I
−0.980980 + 0.322040I 0
u = −0.474653 + 0.805520I
a = 0.86515 + 1.33187I
b = −0.518764 − 0.304689I
−6.19510 + 9.33654I 0
u = −0.474653 − 0.805520I
a = 0.86515 − 1.33187I
b = −0.518764 + 0.304689I
−6.19510 − 9.33654I 0
u = 1.025840 + 0.297656I
a = 0.943361 + 0.420612I
b = −0.304974 + 0.689289I
−3.58960 + 1.06942I 0
u = 1.025840 − 0.297656I
a = 0.943361 − 0.420612I
b = −0.304974 − 0.689289I
−3.58960 − 1.06942I 0
u = −0.832999 + 0.417115I
a = −1.21518 − 2.35938I
b = −0.291421 + 0.859200I
−3.08080 + 1.50448I 0
u = −0.832999 − 0.417115I
a = −1.21518 + 2.35938I
b = −0.291421 − 0.859200I
−3.08080 − 1.50448I 0
u = 1.071430 + 0.010458I
a = −0.912189 − 0.061666I
b = −0.398832 − 1.016720I
−2.30151 − 0.79773I 0
u = 1.071430 − 0.010458I
a = −0.912189 + 0.061666I
b = −0.398832 + 1.016720I
−2.30151 + 0.79773I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.071220 + 0.030154I
a = −1.13924 − 1.19995I
b = −0.732485 + 1.068550I
−6.46533 + 1.37125I 0
u = −1.071220 − 0.030154I
a = −1.13924 + 1.19995I
b = −0.732485 − 1.068550I
−6.46533 − 1.37125I 0
u = −1.024840 + 0.331353I
a = −0.424494 + 0.514772I
b = −0.206787 − 0.544013I
−1.51905 + 4.34421I 0
u = −1.024840 − 0.331353I
a = −0.424494 − 0.514772I
b = −0.206787 + 0.544013I
−1.51905 − 4.34421I 0
u = 0.513031 + 0.967666I
a = 0.868286 − 0.887208I
b = −0.253811 + 1.019720I
−0.761914 + 0.765531I 0
u = 0.513031 − 0.967666I
a = 0.868286 + 0.887208I
b = −0.253811 − 1.019720I
−0.761914 − 0.765531I 0
u = 0.535901 + 0.972225I
a = −0.581412 + 0.867669I
b = 0.620190 − 1.083680I
−0.71369 + 6.13552I 0
u = 0.535901 − 0.972225I
a = −0.581412 − 0.867669I
b = 0.620190 + 1.083680I
−0.71369 − 6.13552I 0
u = −1.075290 + 0.277095I
a = −0.883535 − 0.970865I
b = −1.04684 + 1.29123I
−4.98673 + 6.47779I 0
u = −1.075290 − 0.277095I
a = −0.883535 + 0.970865I
b = −1.04684 − 1.29123I
−4.98673 − 6.47779I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.082520 + 0.258235I
a = −0.793724 − 0.103184I
b = −0.714675 + 0.663702I
−3.91674 − 2.47645I 0
u = 1.082520 − 0.258235I
a = −0.793724 + 0.103184I
b = −0.714675 − 0.663702I
−3.91674 + 2.47645I 0
u = −0.320549 + 1.072130I
a = 0.347941 + 1.341790I
b = −0.215248 − 1.095380I
4.83942 − 0.02613I 0
u = −0.320549 − 1.072130I
a = 0.347941 − 1.341790I
b = −0.215248 + 1.095380I
4.83942 + 0.02613I 0
u = −1.11904
a = −0.190106
b = 1.19430
−6.50755 0
u = −1.124600 + 0.139389I
a = −1.037280 + 0.257560I
b = −0.559398 − 0.321660I
−5.10195 + 2.20658I 0
u = −1.124600 − 0.139389I
a = −1.037280 − 0.257560I
b = −0.559398 + 0.321660I
−5.10195 − 2.20658I 0
u = −0.696017 + 0.512560I
a = 0.534865 + 0.136115I
b = −0.811932 − 1.016260I
−2.87403 + 4.61318I 0
u = −0.696017 − 0.512560I
a = 0.534865 − 0.136115I
b = −0.811932 + 1.016260I
−2.87403 − 4.61318I 0
u = 1.099390 + 0.305529I
a = 0.571961 − 0.954203I
b = 1.09475 + 1.38868I
−4.77079 − 4.74149I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.099390 − 0.305529I
a = 0.571961 + 0.954203I
b = 1.09475 − 1.38868I
−4.77079 + 4.74149I 0
u = −0.843254 + 0.153132I
a = −0.442523 + 0.151465I
b = −0.16865 + 1.51500I
−2.36331 − 5.28557I 0
u = −0.843254 − 0.153132I
a = −0.442523 − 0.151465I
b = −0.16865 − 1.51500I
−2.36331 + 5.28557I 0
u = −1.090170 + 0.391506I
a = −0.982039 − 0.569011I
b = −0.646629 + 1.133240I
1.78188 + 7.26409I 0
u = −1.090170 − 0.391506I
a = −0.982039 + 0.569011I
b = −0.646629 − 1.133240I
1.78188 − 7.26409I 0
u = −1.155500 + 0.100686I
a = 1.19325 + 1.70493I
b = 0.483737 − 1.103890I
−8.13024 + 9.75297I 0
u = −1.155500 − 0.100686I
a = 1.19325 − 1.70493I
b = 0.483737 + 1.103890I
−8.13024 − 9.75297I 0
u = −1.077390 + 0.430251I
a = −1.40436 − 0.58167I
b = −0.047079 + 0.528569I
−4.46694 + 2.00851I 0
u = −1.077390 − 0.430251I
a = −1.40436 + 0.58167I
b = −0.047079 − 0.528569I
−4.46694 − 2.00851I 0
u = 1.041170 + 0.522316I
a = 0.47854 − 1.41131I
b = 0.62384 + 1.31171I
−2.46122 − 6.27398I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.041170 − 0.522316I
a = 0.47854 + 1.41131I
b = 0.62384 − 1.31171I
−2.46122 + 6.27398I 0
u = 0.809325 + 0.045131I
a = −1.149470 + 0.249698I
b = −1.039260 − 0.920904I
0.151278 + 1.132340I 0
u = 0.809325 − 0.045131I
a = −1.149470 − 0.249698I
b = −1.039260 + 0.920904I
0.151278 − 1.132340I 0
u = −0.090033 + 0.792201I
a = 0.334946 − 1.167340I
b = 0.253019 + 0.997992I
0.81946 − 2.73729I 0
u = −0.090033 − 0.792201I
a = 0.334946 + 1.167340I
b = 0.253019 − 0.997992I
0.81946 + 2.73729I 0
u = 0.085674 + 1.203580I
a = 0.46553 − 1.47072I
b = −0.541681 + 1.064120I
−3.69920 + 5.42968I 0
u = 0.085674 − 1.203580I
a = 0.46553 + 1.47072I
b = −0.541681 − 1.064120I
−3.69920 − 5.42968I 0
u = 1.140050 + 0.441785I
a = 1.042880 − 0.361110I
b = 0.296241 + 0.958121I
1.86572 + 0.08258I 0
u = 1.140050 − 0.441785I
a = 1.042880 + 0.361110I
b = 0.296241 − 0.958121I
1.86572 − 0.08258I 0
u = −0.578433 + 0.498871I
a = 1.17783 + 1.64732I
b = 1.003800 − 0.558776I
−2.52166 − 0.50488I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.578433 − 0.498871I
a = 1.17783 − 1.64732I
b = 1.003800 + 0.558776I
−2.52166 + 0.50488I 0
u = −1.154620 + 0.442101I
a = 0.491828 + 0.581112I
b = 0.851702 − 0.042998I
−5.24815 + 8.82520I 0
u = −1.154620 − 0.442101I
a = 0.491828 − 0.581112I
b = 0.851702 + 0.042998I
−5.24815 − 8.82520I 0
u = 1.232880 + 0.147006I
a = −0.83870 + 1.52060I
b = −0.480548 − 1.061570I
−7.47936 − 0.85302I 0
u = 1.232880 − 0.147006I
a = −0.83870 − 1.52060I
b = −0.480548 + 1.061570I
−7.47936 + 0.85302I 0
u = 1.078290 + 0.617576I
a = −0.74217 + 1.23413I
b = −0.90249 − 1.14947I
−2.49969 − 11.89640I 0
u = 1.078290 − 0.617576I
a = −0.74217 − 1.23413I
b = −0.90249 + 1.14947I
−2.49969 + 11.89640I 0
u = −1.253890 + 0.026652I
a = 0.094338 − 0.463157I
b = 0.532853 + 1.180110I
−2.81584 − 4.84054I 0
u = −1.253890 − 0.026652I
a = 0.094338 + 0.463157I
b = 0.532853 − 1.180110I
−2.81584 + 4.84054I 0
u = −0.021345 + 0.744466I
a = 0.347398 − 0.257171I
b = −0.743891 − 0.053407I
−1.93128 − 4.57376I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.021345 − 0.744466I
a = 0.347398 + 0.257171I
b = −0.743891 + 0.053407I
−1.93128 + 4.57376I 0
u = 1.164470 + 0.472549I
a = 0.443935 − 0.905324I
b = 0.596806 + 0.314041I
−5.30030 + 0.37371I 0
u = 1.164470 − 0.472549I
a = 0.443935 + 0.905324I
b = 0.596806 − 0.314041I
−5.30030 − 0.37371I 0
u = −1.242830 + 0.294812I
a = 1.64477 + 0.39977I
b = 0.380330 − 1.043300I
−2.22525 + 2.29036I 0
u = −1.242830 − 0.294812I
a = 1.64477 − 0.39977I
b = 0.380330 + 1.043300I
−2.22525 − 2.29036I 0
u = 0.602824 + 0.349600I
a = 0.908381 + 0.415557I
b = 0.125458 + 0.577831I
−1.52180 − 0.10799I 0
u = 0.602824 − 0.349600I
a = 0.908381 − 0.415557I
b = 0.125458 − 0.577831I
−1.52180 + 0.10799I 0
u = −1.200120 + 0.546792I
a = 0.788213 + 1.092240I
b = 0.565029 − 1.189730I
1.96037 + 5.65057I 0
u = −1.200120 − 0.546792I
a = 0.788213 − 1.092240I
b = 0.565029 + 1.189730I
1.96037 − 5.65057I 0
u = 0.319077 + 0.593317I
a = −0.37306 − 1.63390I
b = 0.054703 + 1.301780I
4.49407 − 4.21302I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.319077 − 0.593317I
a = −0.37306 + 1.63390I
b = 0.054703 − 1.301780I
4.49407 + 4.21302I 0
u = −0.041857 + 1.336800I
a = 0.379542 + 1.331940I
b = −0.534959 − 1.111520I
−3.8954 − 13.8094I 0
u = −0.041857 − 1.336800I
a = 0.379542 − 1.331940I
b = −0.534959 + 1.111520I
−3.8954 + 13.8094I 0
u = 1.324290 + 0.204220I
a = −0.0099875 − 0.0859164I
b = −1.48935 + 0.18773I
−9.93961 − 2.79893I 0
u = 1.324290 − 0.204220I
a = −0.0099875 + 0.0859164I
b = −1.48935 − 0.18773I
−9.93961 + 2.79893I 0
u = −0.606615 + 0.199346I
a = 2.19120 + 1.89354I
b = −0.250867 + 0.353438I
−5.94976 + 9.40107I 0
u = −0.606615 − 0.199346I
a = 2.19120 − 1.89354I
b = −0.250867 − 0.353438I
−5.94976 − 9.40107I 0
u = −1.326560 + 0.307662I
a = −0.0949899 + 0.0802360I
b = 1.327480 + 0.317912I
−10.97640 + 4.57822I 0
u = −1.326560 − 0.307662I
a = −0.0949899 − 0.0802360I
b = 1.327480 − 0.317912I
−10.97640 − 4.57822I 0
u = 0.219923 + 1.344370I
a = −0.353153 + 1.160640I
b = 0.538156 − 0.971769I
−3.27130 + 4.18014I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.219923 − 1.344370I
a = −0.353153 − 1.160640I
b = 0.538156 + 0.971769I
−3.27130 − 4.18014I 0
u = 1.331680 + 0.364357I
a = −0.0768674 − 0.0024075I
b = 1.348830 − 0.366543I
−11.3000 − 13.2855I 0
u = 1.331680 − 0.364357I
a = −0.0768674 + 0.0024075I
b = 1.348830 + 0.366543I
−11.3000 + 13.2855I 0
u = 0.612876
a = 0.611130
b = 0.558515
−0.979087 −12.0490
u = −1.315550 + 0.458891I
a = −0.914716 − 0.604929I
b = −0.591364 + 0.948819I
−3.06088 + 7.48197I 0
u = −1.315550 − 0.458891I
a = −0.914716 + 0.604929I
b = −0.591364 − 0.948819I
−3.06088 − 7.48197I 0
u = 1.308400 + 0.485745I
a = 1.12579 − 0.93068I
b = 0.523536 + 1.202890I
−1.82987 − 13.63400I 0
u = 1.308400 − 0.485745I
a = 1.12579 + 0.93068I
b = 0.523536 − 1.202890I
−1.82987 + 13.63400I 0
u = −1.37350 + 0.42552I
a = 0.031725 + 0.172957I
b = −1.054160 − 0.514298I
−9.26018 + 4.79629I 0
u = −1.37350 − 0.42552I
a = 0.031725 − 0.172957I
b = −1.054160 + 0.514298I
−9.26018 − 4.79629I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42669 + 0.19956I
a = −0.078353 − 0.163822I
b = −0.982428 − 0.267198I
−8.67089 − 4.74455I 0
u = 1.42669 − 0.19956I
a = −0.078353 + 0.163822I
b = −0.982428 + 0.267198I
−8.67089 + 4.74455I 0
u = 1.40544 + 0.35898I
a = −0.760398 + 0.547935I
b = −0.532971 − 1.105230I
−2.85516 − 6.69223I 0
u = 1.40544 − 0.35898I
a = −0.760398 − 0.547935I
b = −0.532971 + 1.105230I
−2.85516 + 6.69223I 0
u = −0.391385 + 0.346930I
a = −0.141416 − 0.960085I
b = 0.299732 + 1.364440I
4.10493 − 3.82429I 5.81960 − 4.26429I
u = −0.391385 − 0.346930I
a = −0.141416 + 0.960085I
b = 0.299732 − 1.364440I
4.10493 + 3.82429I 5.81960 + 4.26429I
u = 0.11635 + 1.47242I
a = 0.129078 + 1.256150I
b = −0.020364 − 0.969933I
4.23955 − 0.10935I 0
u = 0.11635 − 1.47242I
a = 0.129078 − 1.256150I
b = −0.020364 + 0.969933I
4.23955 + 0.10935I 0
u = 1.36378 + 0.57381I
a = 0.67663 − 1.31562I
b = 0.72134 + 1.31252I
−7.79561 − 11.61920I 0
u = 1.36378 − 0.57381I
a = 0.67663 + 1.31562I
b = 0.72134 − 1.31252I
−7.79561 + 11.61920I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.28428 + 0.74474I
a = 0.33455 − 1.42071I
b = 0.630008 + 1.026600I
−7.77324 − 5.59324I 0
u = 1.28428 − 0.74474I
a = 0.33455 + 1.42071I
b = 0.630008 − 1.026600I
−7.77324 + 5.59324I 0
u = −1.44673 + 0.35469I
a = −0.227735 − 0.290167I
b = 0.784112 + 0.526242I
−9.25374 + 0.30391I 0
u = −1.44673 − 0.35469I
a = −0.227735 + 0.290167I
b = 0.784112 − 0.526242I
−9.25374 − 0.30391I 0
u = −0.130889 + 0.489286I
a = −0.38304 + 2.78783I
b = −0.253669 − 1.109880I
1.20466 + 0.90755I −4.96796 − 3.95022I
u = −0.130889 − 0.489286I
a = −0.38304 − 2.78783I
b = −0.253669 + 1.109880I
1.20466 − 0.90755I −4.96796 + 3.95022I
u = 1.36069 + 0.62628I
a = −0.51741 + 1.47440I
b = −0.519572 − 1.107110I
−7.78138 − 6.43012I 0
u = 1.36069 − 0.62628I
a = −0.51741 − 1.47440I
b = −0.519572 + 1.107110I
−7.78138 + 6.43012I 0
u = 0.021736 + 0.497035I
a = 2.19685 − 1.34673I
b = −0.393388 + 1.138270I
−1.91184 + 1.63431I −7.48809 − 0.24849I
u = 0.021736 − 0.497035I
a = 2.19685 + 1.34673I
b = −0.393388 − 1.138270I
−1.91184 − 1.63431I −7.48809 + 0.24849I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43874 + 0.47675I
a = −0.552469 − 1.027880I
b = −0.80206 + 1.37255I
−6.31373 + 10.55060I 0
u = −1.43874 − 0.47675I
a = −0.552469 + 1.027880I
b = −0.80206 − 1.37255I
−6.31373 − 10.55060I 0
u = 1.38603 + 0.62295I
a = −0.683125 + 0.878022I
b = −0.320503 − 1.030870I
−0.10876 − 6.76941I 0
u = 1.38603 − 0.62295I
a = −0.683125 − 0.878022I
b = −0.320503 + 1.030870I
−0.10876 + 6.76941I 0
u = 1.52676 + 0.00239I
a = 0.069415 + 0.396814I
b = 0.440290 + 0.432311I
−10.23660 + 5.73554I 0
u = 1.52676 − 0.00239I
a = 0.069415 − 0.396814I
b = 0.440290 − 0.432311I
−10.23660 − 5.73554I 0
u = 0.182507 + 0.423739I
a = 0.850292 − 0.231731I
b = 0.569996 + 0.185173I
−1.49211 − 0.35609I −7.64304 + 0.79961I
u = 0.182507 − 0.423739I
a = 0.850292 + 0.231731I
b = 0.569996 − 0.185173I
−1.49211 + 0.35609I −7.64304 − 0.79961I
u = −1.41528 + 0.61197I
a = 0.631916 + 1.226880I
b = 0.75156 − 1.30976I
−8.2677 + 20.5140I 0
u = −1.41528 − 0.61197I
a = 0.631916 − 1.226880I
b = 0.75156 + 1.30976I
−8.2677 − 20.5140I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41126 + 0.66886I
a = −0.589868 + 1.203710I
b = −0.731067 − 1.180930I
−7.14854 − 11.24570I 0
u = 1.41126 − 0.66886I
a = −0.589868 − 1.203710I
b = −0.731067 + 1.180930I
−7.14854 + 11.24570I 0
u = −1.35120 + 0.80638I
a = 0.23120 + 1.46063I
b = 0.496636 − 1.044560I
−8.31687 − 2.66714I 0
u = −1.35120 − 0.80638I
a = 0.23120 − 1.46063I
b = 0.496636 + 1.044560I
−8.31687 + 2.66714I 0
u = −0.321264 + 0.239172I
a = −2.07038 − 0.20844I
b = 0.608345 + 1.026730I
−2.78747 − 3.99803I −14.3390 + 6.0136I
u = −0.321264 − 0.239172I
a = −2.07038 + 0.20844I
b = 0.608345 − 1.026730I
−2.78747 + 3.99803I −14.3390 − 6.0136I
u = −0.369437 + 0.099813I
a = −1.90072 − 1.58482I
b = 0.737193 − 0.294866I
−4.77747 + 1.17364I −19.2191 − 4.3733I
u = −0.369437 − 0.099813I
a = −1.90072 + 1.58482I
b = 0.737193 + 0.294866I
−4.77747 − 1.17364I −19.2191 + 4.3733I
u = −1.62187 + 0.03515I
a = −0.165099 + 0.088452I
b = −0.317016 + 0.609319I
−9.15781 + 2.76204I 0
u = −1.62187 − 0.03515I
a = −0.165099 − 0.088452I
b = −0.317016 − 0.609319I
−9.15781 − 2.76204I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.59956 + 0.30385I
a = 0.023582 + 0.186968I
b = −0.548764 − 0.424913I
−9.87602 + 2.04084I 0
u = −1.59956 − 0.30385I
a = 0.023582 − 0.186968I
b = −0.548764 + 0.424913I
−9.87602 − 2.04084I 0
u = −0.107516 + 0.302641I
a = 2.05805 + 0.73003I
b = −0.136968 + 0.382875I
0.93679 − 1.52756I −0.85007 + 3.34990I
u = −0.107516 − 0.302641I
a = 2.05805 − 0.73003I
b = −0.136968 − 0.382875I
0.93679 + 1.52756I −0.85007 − 3.34990I
u = −1.55053 + 0.67238I
a = −0.357735 − 1.197500I
b = −0.53765 + 1.31997I
−4.09041 + 9.97245I 0
u = −1.55053 − 0.67238I
a = −0.357735 + 1.197500I
b = −0.53765 − 1.31997I
−4.09041 − 9.97245I 0
u = 1.83391 + 0.36281I
a = −0.149417 + 0.429631I
b = 0.351682 − 0.578618I
−9.93579 + 6.48404I 0
u = 1.83391 − 0.36281I
a = −0.149417 − 0.429631I
b = 0.351682 + 0.578618I
−9.93579 − 6.48404I 0
u = 0.119965
a = −60.3815
b = 0.122385
−3.29701 706.560
u = −0.37231 + 1.88768I
a = −0.351845 − 1.131180I
b = 0.314557 + 0.918518I
0.58876 − 1.30903I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.37231 − 1.88768I
a = −0.351845 + 1.131180I
b = 0.314557 − 0.918518I
0.58876 + 1.30903I 0
21
II. I
u
2
=
h8.83×10
39
u
38
−3.03×10
39
u
37
+· · ·+1.77×10
39
b−1.68×10
39
, 6.00×10
41
u
38
−
8.15 × 10
40
u
37
+ · · · + 4.42 × 10
40
a + 1.02 × 10
42
, u
39
− 11u
37
+ · · · + 3u − 1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−13.5881u
38
+ 1.84338u
37
+ ··· − 31.8555u − 23.0076
−4.99545u
38
+ 1.71504u
37
+ ··· − 10.7045u + 0.951811
a
9
=
−u
−u
3
+ u
a
4
=
−18.5836u
38
+ 3.55842u
37
+ ··· − 42.5600u − 22.0558
−4.99545u
38
+ 1.71504u
37
+ ··· − 10.7045u + 0.951811
a
2
=
−29.0192u
38
+ 15.5376u
37
+ ··· − 108.021u − 1.24395
−3.85507u
38
+ 4.55790u
37
+ ··· − 25.0117u + 7.82298
a
3
=
−12.7996u
38
+ 1.09305u
37
+ ··· − 27.7593u − 21.9677
−6.73020u
38
+ 1.70789u
37
+ ··· − 12.3250u − 1.60173
a
11
=
−8.92643u
38
+ 5.72240u
37
+ ··· − 39.9473u + 3.02678
−0.273198u
38
− 1.13709u
37
+ ··· + 2.05616u − 3.23767
a
7
=
21.4703u
38
− 15.5888u
37
+ ··· + 94.3910u − 15.2673
2.06734u
38
− 0.216825u
37
+ ··· + 6.39434u + 0.0965510
a
6
=
17.5992u
38
− 16.0601u
37
+ ··· + 89.6342u − 24.0430
2.60034u
38
− 2.46014u
37
+ ··· + 15.4014u − 2.67030
a
10
=
28.6527u
38
− 24.6190u
37
+ ··· + 132.809u − 31.1615
7.77691u
38
− 9.36834u
37
+ ··· + 49.1361u − 14.1271
(ii) Obstruction class = 1
(iii) Cusp Shapes = 11.4477u
38
− 16.8667u
37
+ ··· + 69.4170u − 62.9382
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
5(5u
39
− 41u
38
+ ··· + 81u − 9)
c
2
u
39
− 11u
37
+ ··· − 7u + 5
c
3
u
39
+ 6u
37
+ ··· − 620u + 107
c
4
u
39
− u
38
+ ··· + 3u − 1
c
5
u
39
− 5u
38
+ ··· + 68u + 4
c
6
u
39
− 4u
38
+ ··· − 19u − 5
c
7
5(5u
39
− 8u
38
+ ··· + 8u − 16)
c
8
u
39
− 11u
37
+ ··· + 3u + 1
c
9
5(5u
39
+ 33u
38
+ ··· − 2u
2
− 1)
c
10
5(5u
39
+ 8u
38
+ ··· + 8u + 16)
c
11
u
39
+ u
38
+ ··· + 3u + 1
c
12
u
39
− 11u
37
+ ··· + 3u − 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
39
− 531y
38
+ ··· − 243y −81)
c
2
y
39
− 22y
38
+ ··· + 89y −25
c
3
y
39
+ 12y
38
+ ··· − 147390y −11449
c
4
, c
11
y
39
+ 33y
38
+ ··· − 21y −1
c
5
y
39
+ 19y
38
+ ··· + 296y −16
c
6
y
39
+ 28y
38
+ ··· + 91y −25
c
7
, c
10
25(25y
39
− 754y
38
+ ··· + 1728y −256)
c
8
, c
12
y
39
− 22y
38
+ ··· + 23y −1
c
9
25(25y
39
+ 221y
38
+ ··· − 4y −1)
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.967281 + 0.284906I
a = 2.73812 − 2.28495I
b = 0.159317 + 0.903356I
−3.33978 − 0.91311I −7.71270 − 9.95764I
u = 0.967281 − 0.284906I
a = 2.73812 + 2.28495I
b = 0.159317 − 0.903356I
−3.33978 + 0.91311I −7.71270 + 9.95764I
u = −0.950992 + 0.249595I
a = 0.136551 + 0.589164I
b = −0.53119 − 1.36829I
−0.67989 + 2.56626I −5.02471 − 1.36275I
u = −0.950992 − 0.249595I
a = 0.136551 − 0.589164I
b = −0.53119 + 1.36829I
−0.67989 − 2.56626I −5.02471 + 1.36275I
u = −0.779642 + 0.525616I
a = 1.06127 + 2.47824I
b = 0.440692 − 0.821339I
−5.57812 + 10.35400I −8.63172 − 10.95448I
u = −0.779642 − 0.525616I
a = 1.06127 − 2.47824I
b = 0.440692 + 0.821339I
−5.57812 − 10.35400I −8.63172 + 10.95448I
u = −0.132053 + 0.920650I
a = −0.59813 − 1.29562I
b = 0.564388 + 1.080620I
−1.59117 − 4.63758I −8.40083 + 4.77285I
u = −0.132053 − 0.920650I
a = −0.59813 + 1.29562I
b = 0.564388 − 1.080620I
−1.59117 + 4.63758I −8.40083 − 4.77285I
u = −0.861898 + 0.013533I
a = −1.81763 + 1.00508I
b = 0.081399 + 0.533443I
−3.69600 − 0.47126I −7.76586 − 2.48354I
u = −0.861898 − 0.013533I
a = −1.81763 − 1.00508I
b = 0.081399 − 0.533443I
−3.69600 + 0.47126I −7.76586 + 2.48354I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.131690 + 0.246331I
a = 0.494648 − 1.010710I
b = 0.75858 + 1.66956I
−3.87458 − 6.63931I −10.8187 + 10.8649I
u = 1.131690 − 0.246331I
a = 0.494648 + 1.010710I
b = 0.75858 − 1.66956I
−3.87458 + 6.63931I −10.8187 − 10.8649I
u = −0.802715 + 0.220717I
a = 1.220490 + 0.099383I
b = 0.790155 − 0.563810I
−0.027648 − 0.489500I −4.27639 − 1.50380I
u = −0.802715 − 0.220717I
a = 1.220490 − 0.099383I
b = 0.790155 + 0.563810I
−0.027648 + 0.489500I −4.27639 + 1.50380I
u = −1.132820 + 0.350207I
a = −0.84690 − 1.19304I
b = −0.765864 + 0.915357I
−5.78006 + 3.44016I −14.8229 − 4.0451I
u = −1.132820 − 0.350207I
a = −0.84690 + 1.19304I
b = −0.765864 − 0.915357I
−5.78006 − 3.44016I −14.8229 + 4.0451I
u = 0.800777 + 0.032907I
a = 0.128964 − 0.155625I
b = 0.05596 − 2.09546I
−1.88821 − 5.79482I 0.89215 + 9.55285I
u = 0.800777 − 0.032907I
a = 0.128964 + 0.155625I
b = 0.05596 + 2.09546I
−1.88821 + 5.79482I 0.89215 − 9.55285I
u = −0.268566 + 0.566508I
a = −1.19604 − 2.29997I
b = 0.521367 + 0.392295I
−3.65673 + 0.09726I −8.42041 − 1.01984I
u = −0.268566 − 0.566508I
a = −1.19604 + 2.29997I
b = 0.521367 − 0.392295I
−3.65673 − 0.09726I −8.42041 + 1.01984I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.39298 + 0.26566I
a = −0.0102456 − 0.1101570I
b = −1.121110 + 0.193588I
−9.13340 − 3.44462I 0
u = 1.39298 − 0.26566I
a = −0.0102456 + 0.1101570I
b = −1.121110 − 0.193588I
−9.13340 + 3.44462I 0
u = 1.39078 + 0.50530I
a = −0.568157 + 0.684866I
b = −0.486744 − 1.004780I
−1.00503 − 7.03175I 0
u = 1.39078 − 0.50530I
a = −0.568157 − 0.684866I
b = −0.486744 + 1.004780I
−1.00503 + 7.03175I 0
u = 0.10114 + 1.47968I
a = −0.091557 + 1.262030I
b = 0.139111 − 0.958569I
4.13498 + 0.58246I 0
u = 0.10114 − 1.47968I
a = −0.091557 − 1.262030I
b = 0.139111 + 0.958569I
4.13498 − 0.58246I 0
u = −1.41090 + 0.54168I
a = −0.580183 − 1.111460I
b = −0.75422 + 1.29708I
−5.88684 + 10.22140I 0
u = −1.41090 − 0.54168I
a = −0.580183 + 1.111460I
b = −0.75422 − 1.29708I
−5.88684 − 10.22140I 0
u = −0.115508 + 0.435857I
a = 2.20858 + 0.98808I
b = 0.063560 − 1.183680I
−0.073245 + 1.117680I −4.33055 − 1.94396I
u = −0.115508 − 0.435857I
a = 2.20858 − 0.98808I
b = 0.063560 + 1.183680I
−0.073245 − 1.117680I −4.33055 + 1.94396I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58869 + 0.12876I
a = −0.325629 − 0.093273I
b = −0.163505 − 0.346726I
−9.14929 − 2.34663I 0
u = 1.58869 − 0.12876I
a = −0.325629 + 0.093273I
b = −0.163505 + 0.346726I
−9.14929 + 2.34663I 0
u = 0.377693 + 0.146767I
a = 0.788857 + 1.170140I
b = 0.240942 − 1.379240I
3.83054 + 3.96873I −17.5053 − 7.1285I
u = 0.377693 − 0.146767I
a = 0.788857 − 1.170140I
b = 0.240942 + 1.379240I
3.83054 − 3.96873I −17.5053 + 7.1285I
u = 0.305325
a = −13.3195
b = −0.326379
−3.32781 −31.7350
u = 0.29831 + 1.72434I
a = 0.473941 − 1.118450I
b = −0.252446 + 0.959532I
0.880386 + 1.016950I 0
u = 0.29831 − 1.72434I
a = 0.473941 + 1.118450I
b = −0.252446 − 0.959532I
0.880386 − 1.016950I 0
u = −1.74692 + 0.20217I
a = 0.342807 + 0.147541I
b = −0.077210 − 0.621369I
−9.39469 − 6.13628I 0
u = −1.74692 − 0.20217I
a = 0.342807 − 0.147541I
b = −0.077210 + 0.621369I
−9.39469 + 6.13628I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
25(5u
39
− 41u
38
+ ··· + 81u − 9)
· (5u
161
+ 14u
160
+ ··· + 298224u − 35381)
c
2
(u
39
− 11u
37
+ ··· − 7u + 5)(u
161
− 9u
160
+ ··· − 548262u + 99355)
c
3
(u
39
+ 6u
37
+ ··· − 620u + 107)
· (u
161
− 7u
160
+ ··· + 4011301212363u + 841089013283)
c
4
(u
39
− u
38
+ ··· + 3u − 1)(u
161
+ 45u
159
+ ··· + 4938u + 811)
c
5
(u
39
− 5u
38
+ ··· + 68u + 4)
· (u
161
− 2u
160
+ ··· + 765004288u + 512157412)
c
6
(u
39
− 4u
38
+ ··· − 19u − 5)(u
161
− 9u
160
+ ··· − 454022u − 31165)
c
7
25(5u
39
− 8u
38
+ ··· + 8u − 16)
· (5u
161
+ 13u
160
+ ··· − 906128u − 1823792)
c
8
(u
39
− 11u
37
+ ··· + 3u + 1)(u
161
− u
160
+ ··· + 24936u − 6037)
c
9
25(5u
39
+ 33u
38
+ ··· − 2u
2
− 1)(5u
161
− 2u
160
+ ··· − 51u − 1)
c
10
25(5u
39
+ 8u
38
+ ··· + 8u + 16)
· (5u
161
+ 13u
160
+ ··· − 906128u − 1823792)
c
11
(u
39
+ u
38
+ ··· + 3u + 1)(u
161
+ 45u
159
+ ··· + 4938u + 811)
c
12
(u
39
− 11u
37
+ ··· + 3u − 1)(u
161
− u
160
+ ··· + 24936u − 6037)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
625(25y
39
− 531y
38
+ ··· − 243y −81)
· (25y
161
− 1686y
160
+ ··· + 437080225596y −1251815161)
c
2
(y
39
− 22y
38
+ ··· + 89y −25)
· (y
161
− 85y
160
+ ··· + 456455767864y −9871416025)
c
3
(y
39
+ 12y
38
+ ··· − 147390y −11449)
· (y
161
+ 49y
160
+ ··· − 3.51 × 10
25
y −7.07 × 10
23
)
c
4
, c
11
(y
39
+ 33y
38
+ ··· − 21y −1)
· (y
161
+ 90y
160
+ ··· + 12246418y −657721)
c
5
(y
39
+ 19y
38
+ ··· + 296y −16)
· (y
161
− 36y
160
+ ··· − 6.33 × 10
18
y −2.62 × 10
17
)
c
6
(y
39
+ 28y
38
+ ··· + 91y −25)
· (y
161
+ 61y
160
+ ··· + 157597174614y −971257225)
c
7
, c
10
625(25y
39
− 754y
38
+ ··· + 1728y −256)
· (25y
161
− 2849y
160
+ ··· − 219322678065152y −3326217259264)
c
8
, c
12
(y
39
− 22y
38
+ ··· + 23y −1)
· (y
161
− 105y
160
+ ··· + 3354234814y −36445369)
c
9
625(25y
39
+ 221y
38
+ ··· − 4y −1)
· (25y
161
+ 1126y
160
+ ··· + 1967y −1)
32
