12a
0337
(K12a
0337
)
A knot diagram
1
Linearized knot diagam
3 6 8 12 9 2 11 1 5 4 7 10
Solving Sequence
7,11
8
4,12
5 3 10 1 2 6 9
c
7
c
11
c
4
c
3
c
10
c
12
c
1
c
6
c
9
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h3.92593 × 10
1072
u
168
− 9.52356 × 10
1071
u
167
+ ··· + 4.19834 × 10
1074
b − 8.86904 × 10
1076
,
− 2.28852 × 10
1076
u
168
− 4.03439 × 10
1075
u
167
+ ··· + 8.24512 × 10
1078
a + 7.56272 × 10
1080
,
u
169
− u
168
+ ··· − 396102u − 19639i
I
u
2
= h−5.26255 × 10
26
u
39
− 1.81471 × 10
27
u
38
+ ··· + 2.28462 × 10
25
b + 8.10299 × 10
26
,
− 1.63791 × 10
27
u
39
− 6.96735 × 10
27
u
38
+ ··· + 2.28462 × 10
25
a − 9.46245 × 10
26
, u
40
+ 4u
39
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 209 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
1072
u
168
− 9.52 × 10
1071
u
167
+ · · · + 4.20 × 10
1074
b − 8.87 ×
10
1076
, −2.29 × 10
1076
u
168
− 4.03 × 10
1075
u
167
+ · · · + 8.25 × 10
1078
a +
7.56 × 10
1080
, u
169
− u
168
+ · · · − 396102u − 19639i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
8
=
1
u
2
a
4
=
0.00277560u
168
+ 0.000489306u
167
+ ··· − 1770.17u − 91.7235
−0.00935115u
168
+ 0.00226841u
167
+ ··· + 4433.82u + 211.251
a
12
=
−u
u
a
5
=
−0.00248672u
168
+ 0.00363328u
167
+ ··· − 128.783u − 16.7451
−0.00408883u
168
− 0.000875564u
167
+ ··· + 2792.44u + 136.272
a
3
=
−0.00274440u
168
+ 0.000612743u
167
+ ··· + 1315.91u + 55.4079
−0.00423005u
168
+ 0.000818225u
167
+ ··· + 2187.83u + 105.268
a
10
=
−0.0141723u
168
+ 0.00354478u
167
+ ··· + 7349.15u + 355.698
0.0232313u
168
− 0.0194908u
167
+ ··· − 5114.51u − 230.461
a
1
=
0.0149427u
168
+ 0.0204386u
167
+ ··· − 19447.8u − 966.256
−0.0280194u
168
+ 0.0124714u
167
+ ··· + 11581.6u + 549.700
a
2
=
−0.0195512u
168
+ 0.0521669u
167
+ ··· − 13686.9u − 715.490
−0.00373791u
168
− 0.00854166u
167
+ ··· + 6735.90u + 334.898
a
6
=
0.00324757u
168
+ 0.0252228u
167
+ ··· − 14948.1u − 750.981
0.00709202u
168
− 0.0161873u
167
+ ··· + 3582.84u + 189.182
a
9
=
0.0348428u
168
− 0.0745046u
167
+ ··· + 15120.9u + 809.421
−0.000778314u
168
+ 0.0204357u
167
+ ··· − 9398.65u − 477.367
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0562127u
168
+ 0.0360147u
167
+ ··· + 18248.3u + 848.574
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
169
+ 82u
168
+ ··· − 2175796u − 290521
c
2
, c
6
u
169
+ 41u
167
+ ··· + 3738u + 539
c
3
u
169
− 3u
168
+ ··· + 179265310u + 1814710771
c
4
u
169
+ 5u
168
+ ··· − 536700u + 54209
c
5
, c
9
u
169
− 4u
168
+ ··· − 251625u + 225625
c
7
, c
11
u
169
+ u
168
+ ··· − 396102u + 19639
c
8
u
169
+ 3u
168
+ ··· − 5120400u + 678325
c
10
u
169
− 2u
168
+ ··· + 16242719u + 2056633
c
12
u
169
− 15u
168
+ ··· − 22u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
169
+ 30y
168
+ ··· + 30317871838072y −84402451441
c
2
, c
6
y
169
+ 82y
168
+ ··· − 2175796y −290521
c
3
y
169
+ 49y
168
+ ··· − 1.47 × 10
20
y −3.29 × 10
18
c
4
y
169
− 25y
168
+ ··· + 99052632400y −2938615681
c
5
, c
9
y
169
+ 110y
168
+ ··· − 2073635640625y −50906640625
c
7
, c
11
y
169
+ 99y
168
+ ··· − 26158246040y −385690321
c
8
y
169
− 11y
168
+ ··· − 7757553615350y −460124805625
c
10
y
169
+ 28y
168
+ ··· − 311436565903035y −4229739296689
c
12
y
169
− 31y
168
+ ··· − 68y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.044658 + 1.006500I
a = 0.996465 + 0.535032I
b = −1.43140 + 0.97912I
4.07610 − 0.13098I 0
u = 0.044658 − 1.006500I
a = 0.996465 − 0.535032I
b = −1.43140 − 0.97912I
4.07610 + 0.13098I 0
u = −0.396532 + 0.907773I
a = −0.879383 − 0.331628I
b = 2.45190 + 1.07462I
−3.76122 + 10.95180I 0
u = −0.396532 − 0.907773I
a = −0.879383 + 0.331628I
b = 2.45190 − 1.07462I
−3.76122 − 10.95180I 0
u = −0.981868 + 0.268384I
a = −0.536866 − 0.625015I
b = −0.139872 − 0.451873I
−3.21924 − 1.51303I 0
u = −0.981868 − 0.268384I
a = −0.536866 + 0.625015I
b = −0.139872 + 0.451873I
−3.21924 + 1.51303I 0
u = −0.171939 + 0.966185I
a = −0.697577 − 0.328817I
b = 2.02253 + 1.39734I
−4.74972 + 3.36342I 0
u = −0.171939 − 0.966185I
a = −0.697577 + 0.328817I
b = 2.02253 − 1.39734I
−4.74972 − 3.36342I 0
u = 0.093339 + 0.971134I
a = 0.48303 − 1.78499I
b = −0.690468 + 0.841642I
2.16298 + 1.20126I 0
u = 0.093339 − 0.971134I
a = 0.48303 + 1.78499I
b = −0.690468 − 0.841642I
2.16298 − 1.20126I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.013160 + 0.152109I
a = −0.517938 − 1.096390I
b = −0.031377 + 0.201783I
1.61645 − 8.36601I 0
u = −1.013160 − 0.152109I
a = −0.517938 + 1.096390I
b = −0.031377 − 0.201783I
1.61645 + 8.36601I 0
u = 0.255344 + 0.994298I
a = −0.50826 + 1.76913I
b = 0.654381 − 0.952277I
1.46223 − 4.10465I 0
u = 0.255344 − 0.994298I
a = −0.50826 − 1.76913I
b = 0.654381 + 0.952277I
1.46223 + 4.10465I 0
u = 0.529439 + 0.880204I
a = −1.26930 + 2.16055I
b = 1.51032 − 1.75216I
−0.220436 − 0.346158I 0
u = 0.529439 − 0.880204I
a = −1.26930 − 2.16055I
b = 1.51032 + 1.75216I
−0.220436 + 0.346158I 0
u = 0.117310 + 1.021390I
a = −0.749632 + 0.443480I
b = 1.71239 − 0.64949I
2.25549 − 1.65445I 0
u = 0.117310 − 1.021390I
a = −0.749632 − 0.443480I
b = 1.71239 + 0.64949I
2.25549 + 1.65445I 0
u = −0.243111 + 1.006920I
a = 0.05471 − 1.87049I
b = −0.545638 + 0.917625I
−0.38728 + 5.60268I 0
u = −0.243111 − 1.006920I
a = 0.05471 + 1.87049I
b = −0.545638 − 0.917625I
−0.38728 − 5.60268I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.487958 + 0.822863I
a = 1.35922 + 0.44746I
b = −1.72022 − 0.45455I
−0.47180 − 3.31768I 0
u = 0.487958 − 0.822863I
a = 1.35922 − 0.44746I
b = −1.72022 + 0.45455I
−0.47180 + 3.31768I 0
u = 0.164962 + 1.030540I
a = −1.006610 − 0.788628I
b = 1.47748 − 0.73298I
1.08617 − 5.18124I 0
u = 0.164962 − 1.030540I
a = −1.006610 + 0.788628I
b = 1.47748 + 0.73298I
1.08617 + 5.18124I 0
u = 0.637612 + 0.827670I
a = 0.287707 + 0.683609I
b = −0.899194 − 0.137007I
−1.15857 − 2.50493I 0
u = 0.637612 − 0.827670I
a = 0.287707 − 0.683609I
b = −0.899194 + 0.137007I
−1.15857 + 2.50493I 0
u = 0.918343 + 0.499765I
a = −0.294949 + 0.622152I
b = −0.0997323 − 0.0246033I
−2.67503 − 1.97184I 0
u = 0.918343 − 0.499765I
a = −0.294949 − 0.622152I
b = −0.0997323 + 0.0246033I
−2.67503 + 1.97184I 0
u = 0.909378 + 0.180627I
a = 0.691868 − 1.066250I
b = 0.388140 + 0.094170I
−7.02483 + 5.88488I 0
u = 0.909378 − 0.180627I
a = 0.691868 + 1.066250I
b = 0.388140 − 0.094170I
−7.02483 − 5.88488I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.665089 + 0.841948I
a = −1.44303 − 0.65524I
b = 1.71644 + 0.47777I
−0.935542 − 0.093932I 0
u = 0.665089 − 0.841948I
a = −1.44303 + 0.65524I
b = 1.71644 − 0.47777I
−0.935542 + 0.093932I 0
u = 0.850717 + 0.353274I
a = −0.393947 − 0.813121I
b = 0.638918 − 0.558945I
−4.73336 + 0.52961I 0
u = 0.850717 − 0.353274I
a = −0.393947 + 0.813121I
b = 0.638918 + 0.558945I
−4.73336 − 0.52961I 0
u = −0.919592 + 0.049951I
a = 0.602634 + 1.089060I
b = 0.072369 − 0.282821I
3.12409 − 3.25295I 0
u = −0.919592 − 0.049951I
a = 0.602634 − 1.089060I
b = 0.072369 + 0.282821I
3.12409 + 3.25295I 0
u = 0.480150 + 0.784625I
a = 1.42087 − 1.31084I
b = −1.98518 + 0.98754I
−0.51792 − 3.83639I 0
u = 0.480150 − 0.784625I
a = 1.42087 + 1.31084I
b = −1.98518 − 0.98754I
−0.51792 + 3.83639I 0
u = 0.634756 + 0.660746I
a = 0.862405 + 0.649285I
b = −1.177500 + 0.152789I
−1.42111 − 2.39910I 0
u = 0.634756 − 0.660746I
a = 0.862405 − 0.649285I
b = −1.177500 − 0.152789I
−1.42111 + 2.39910I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.337055 + 1.033500I
a = 0.03805 + 1.73437I
b = 0.495058 − 0.843473I
−2.63977 + 11.53680I 0
u = −0.337055 − 1.033500I
a = 0.03805 − 1.73437I
b = 0.495058 + 0.843473I
−2.63977 − 11.53680I 0
u = 0.744470 + 0.802902I
a = 0.252829 − 0.637078I
b = 0.317423 − 0.123344I
−3.74753 + 0.87759I 0
u = 0.744470 − 0.802902I
a = 0.252829 + 0.637078I
b = 0.317423 + 0.123344I
−3.74753 − 0.87759I 0
u = −0.518056 + 0.739375I
a = 0.26197 + 1.47711I
b = −0.076528 + 0.214474I
−4.22824 − 7.18268I 0
u = −0.518056 − 0.739375I
a = 0.26197 − 1.47711I
b = −0.076528 − 0.214474I
−4.22824 + 7.18268I 0
u = −0.325716 + 1.051690I
a = −0.524341 − 0.026961I
b = 1.39349 − 0.97278I
1.78089 − 0.06211I 0
u = −0.325716 − 1.051690I
a = −0.524341 + 0.026961I
b = 1.39349 + 0.97278I
1.78089 + 0.06211I 0
u = −0.139866 + 0.883342I
a = −0.20598 + 2.41360I
b = 0.63697 − 1.28102I
−6.97912 + 1.85496I 0
u = −0.139866 − 0.883342I
a = −0.20598 − 2.41360I
b = 0.63697 + 1.28102I
−6.97912 − 1.85496I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.362552 + 1.052220I
a = 0.820612 + 0.232915I
b = −2.17809 − 0.99651I
−1.25299 + 6.67767I 0
u = −0.362552 − 1.052220I
a = 0.820612 − 0.232915I
b = −2.17809 + 0.99651I
−1.25299 − 6.67767I 0
u = −0.316884 + 0.827161I
a = −1.42786 − 0.54097I
b = 1.44083 + 1.13167I
−6.59870 + 0.31411I 0
u = −0.316884 − 0.827161I
a = −1.42786 + 0.54097I
b = 1.44083 − 1.13167I
−6.59870 − 0.31411I 0
u = 0.722812 + 0.849666I
a = −0.312481 − 0.251647I
b = 1.126120 − 0.443018I
−3.70060 − 6.37509I 0
u = 0.722812 − 0.849666I
a = −0.312481 + 0.251647I
b = 1.126120 + 0.443018I
−3.70060 + 6.37509I 0
u = −0.113414 + 0.863598I
a = −0.20814 + 1.50975I
b = −0.152741 + 0.235958I
−5.25151 − 1.93825I 0
u = −0.113414 − 0.863598I
a = −0.20814 − 1.50975I
b = −0.152741 − 0.235958I
−5.25151 + 1.93825I 0
u = 0.861467 + 0.732944I
a = −0.601544 − 0.457562I
b = 1.30603 − 0.54276I
−3.77410 − 6.48687I 0
u = 0.861467 − 0.732944I
a = −0.601544 + 0.457562I
b = 1.30603 + 0.54276I
−3.77410 + 6.48687I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.277299 + 0.815257I
a = 1.021070 − 0.012828I
b = −0.95184 + 1.20117I
3.78329 + 1.09562I 0
u = −0.277299 − 0.815257I
a = 1.021070 + 0.012828I
b = −0.95184 − 1.20117I
3.78329 − 1.09562I 0
u = 0.094182 + 0.843364I
a = −1.281380 − 0.429444I
b = 1.74284 − 1.24981I
0.27541 + 3.96070I 0
u = 0.094182 − 0.843364I
a = −1.281380 + 0.429444I
b = 1.74284 + 1.24981I
0.27541 − 3.96070I 0
u = 0.556157 + 1.017880I
a = 1.052950 − 0.039822I
b = −1.75925 + 0.32260I
−0.95403 − 3.29831I 0
u = 0.556157 − 1.017880I
a = 1.052950 + 0.039822I
b = −1.75925 − 0.32260I
−0.95403 + 3.29831I 0
u = −0.128532 + 1.158210I
a = 0.735181 − 0.664534I
b = −1.54167 − 0.44711I
2.89877 + 3.44612I 0
u = −0.128532 − 1.158210I
a = 0.735181 + 0.664534I
b = −1.54167 + 0.44711I
2.89877 − 3.44612I 0
u = 0.191760 + 0.805520I
a = 0.59127 − 1.30945I
b = 0.190963 − 0.241863I
−5.12988 − 5.13411I 0
u = 0.191760 − 0.805520I
a = 0.59127 + 1.30945I
b = 0.190963 + 0.241863I
−5.12988 + 5.13411I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.528840 + 1.047660I
a = 1.36975 + 0.63166I
b = −1.68830 − 0.46136I
0.423917 − 0.974746I 0
u = 0.528840 − 1.047660I
a = 1.36975 − 0.63166I
b = −1.68830 + 0.46136I
0.423917 + 0.974746I 0
u = 0.383343 + 1.112420I
a = 0.869750 + 0.003265I
b = −1.83620 − 0.31470I
−0.61499 − 3.61164I 0
u = 0.383343 − 1.112420I
a = 0.869750 − 0.003265I
b = −1.83620 + 0.31470I
−0.61499 + 3.61164I 0
u = −0.207338 + 1.164470I
a = 0.632980 + 0.316638I
b = −1.22898 + 1.05563I
5.46852 + 1.26241I 0
u = −0.207338 − 1.164470I
a = 0.632980 − 0.316638I
b = −1.22898 − 1.05563I
5.46852 − 1.26241I 0
u = −0.482216 + 1.114650I
a = 1.307440 + 0.079070I
b = −2.20536 − 0.60713I
0.46009 + 6.79623I 0
u = −0.482216 − 1.114650I
a = 1.307440 − 0.079070I
b = −2.20536 + 0.60713I
0.46009 − 6.79623I 0
u = 0.644814 + 1.035320I
a = −1.37569 − 0.65556I
b = 1.70413 + 0.46411I
−0.30092 − 5.14241I 0
u = 0.644814 − 1.035320I
a = −1.37569 + 0.65556I
b = 1.70413 − 0.46411I
−0.30092 + 5.14241I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.018602 + 1.222640I
a = −0.765291 + 0.453535I
b = 1.71467 + 0.50154I
4.73347 − 1.96451I 0
u = 0.018602 − 1.222640I
a = −0.765291 − 0.453535I
b = 1.71467 − 0.50154I
4.73347 + 1.96451I 0
u = −0.587870 + 0.505579I
a = −0.58178 − 1.44431I
b = 0.003890 − 0.265746I
−2.98450 − 2.85543I 0
u = −0.587870 − 0.505579I
a = −0.58178 + 1.44431I
b = 0.003890 + 0.265746I
−2.98450 + 2.85543I 0
u = −0.209643 + 1.206600I
a = 1.50917 + 0.38301I
b = −2.03434 − 0.73278I
4.70660 − 1.76368I 0
u = −0.209643 − 1.206600I
a = 1.50917 − 0.38301I
b = −2.03434 + 0.73278I
4.70660 + 1.76368I 0
u = −0.686146 + 0.340725I
a = −0.445255 − 1.340220I
b = −0.310313 + 0.072750I
−1.86442 − 2.29085I 0
u = −0.686146 − 0.340725I
a = −0.445255 + 1.340220I
b = −0.310313 − 0.072750I
−1.86442 + 2.29085I 0
u = 1.226690 + 0.147268I
a = −0.410408 + 0.826608I
b = −0.300675 + 0.005803I
−1.19680 + 8.26372I 0
u = 1.226690 − 0.147268I
a = −0.410408 − 0.826608I
b = −0.300675 − 0.005803I
−1.19680 − 8.26372I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.293350 + 1.207820I
a = −0.525166 − 0.288634I
b = 1.24314 − 1.11002I
3.96218 + 6.03076I 0
u = −0.293350 − 1.207820I
a = −0.525166 + 0.288634I
b = 1.24314 + 1.11002I
3.96218 − 6.03076I 0
u = −0.665318 + 0.343719I
a = 1.25428 + 0.69189I
b = 0.082099 − 0.574218I
−8.19155 + 2.92580I 0
u = −0.665318 − 0.343719I
a = 1.25428 − 0.69189I
b = 0.082099 + 0.574218I
−8.19155 − 2.92580I 0
u = −0.318853 + 1.226120I
a = −1.44155 − 0.27889I
b = 2.10623 + 0.65335I
6.55505 + 4.24519I 0
u = −0.318853 − 1.226120I
a = −1.44155 + 0.27889I
b = 2.10623 − 0.65335I
6.55505 − 4.24519I 0
u = −0.000042 + 0.728443I
a = 0.342818 − 0.698682I
b = −1.76952 + 0.79957I
0.06361 + 2.18446I 0
u = −0.000042 − 0.728443I
a = 0.342818 + 0.698682I
b = −1.76952 − 0.79957I
0.06361 − 2.18446I 0
u = 1.255590 + 0.254380I
a = 0.346889 − 0.888709I
b = 0.326558 − 0.042064I
−3.2316 + 13.8484I 0
u = 1.255590 − 0.254380I
a = 0.346889 + 0.888709I
b = 0.326558 + 0.042064I
−3.2316 − 13.8484I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.582790 + 1.154330I
a = 0.916458 + 0.039625I
b = −2.16637 − 0.68246I
−0.45705 + 6.98667I 0
u = −0.582790 − 1.154330I
a = 0.916458 − 0.039625I
b = −2.16637 + 0.68246I
−0.45705 − 6.98667I 0
u = 1.232070 + 0.438258I
a = −0.442382 − 0.286960I
b = −0.142081 + 0.140800I
−0.76855 − 4.21281I 0
u = 1.232070 − 0.438258I
a = −0.442382 + 0.286960I
b = −0.142081 − 0.140800I
−0.76855 + 4.21281I 0
u = −1.273540 + 0.310163I
a = 0.242050 + 0.531416I
b = 0.139648 + 0.547227I
−4.53192 + 3.12942I 0
u = −1.273540 − 0.310163I
a = 0.242050 − 0.531416I
b = 0.139648 − 0.547227I
−4.53192 − 3.12942I 0
u = 1.327600 + 0.140216I
a = −0.030135 + 0.451964I
b = 0.0007879 + 0.0206459I
−1.12285 + 2.47491I 0
u = 1.327600 − 0.140216I
a = −0.030135 − 0.451964I
b = 0.0007879 − 0.0206459I
−1.12285 − 2.47491I 0
u = 0.757225 + 1.109600I
a = 0.264675 − 0.004598I
b = −0.126733 − 0.572629I
−3.75113 + 1.49726I 0
u = 0.757225 − 1.109600I
a = 0.264675 + 0.004598I
b = −0.126733 + 0.572629I
−3.75113 − 1.49726I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.363671 + 0.526614I
a = −1.65798 − 0.32573I
b = 1.46736 + 1.39803I
−4.20799 − 8.46012I 0
u = −0.363671 − 0.526614I
a = −1.65798 + 0.32573I
b = 1.46736 − 1.39803I
−4.20799 + 8.46012I 0
u = −0.519354 + 1.270280I
a = −1.274990 − 0.239578I
b = 2.16460 + 0.54618I
6.79965 + 8.43394I 0
u = −0.519354 − 1.270280I
a = −1.274990 + 0.239578I
b = 2.16460 − 0.54618I
6.79965 − 8.43394I 0
u = −0.239871 + 0.579754I
a = 1.67666 + 0.49489I
b = −1.29378 − 1.27662I
−1.62566 − 3.26204I 0
u = −0.239871 − 0.579754I
a = 1.67666 − 0.49489I
b = −1.29378 + 1.27662I
−1.62566 + 3.26204I 0
u = 0.540659 + 1.270770I
a = −1.197940 + 0.213044I
b = 2.15563 − 0.81380I
−3.61165 − 11.22870I 0
u = 0.540659 − 1.270770I
a = −1.197940 − 0.213044I
b = 2.15563 + 0.81380I
−3.61165 + 11.22870I 0
u = −0.576016 + 1.272930I
a = 1.240810 + 0.244965I
b = −2.18341 − 0.52278I
5.0586 + 14.0423I 0
u = −0.576016 − 1.272930I
a = 1.240810 − 0.244965I
b = −2.18341 + 0.52278I
5.0586 − 14.0423I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.265110 + 1.382750I
a = −0.645073 + 0.193523I
b = 1.98855 + 0.50675I
4.78214 − 5.13382I 0
u = 0.265110 − 1.382750I
a = −0.645073 − 0.193523I
b = 1.98855 − 0.50675I
4.78214 + 5.13382I 0
u = −0.46830 + 1.33841I
a = 0.741914 − 0.108517I
b = −1.266170 + 0.374003I
7.26581 + 1.79041I 0
u = −0.46830 − 1.33841I
a = 0.741914 + 0.108517I
b = −1.266170 − 0.374003I
7.26581 − 1.79041I 0
u = −0.34749 + 1.39273I
a = −0.758234 + 0.134625I
b = 1.39656 − 0.41072I
6.71077 − 3.44794I 0
u = −0.34749 − 1.39273I
a = −0.758234 − 0.134625I
b = 1.39656 + 0.41072I
6.71077 + 3.44794I 0
u = −0.73227 + 1.25988I
a = −0.833476 + 0.058405I
b = 2.12716 + 0.59779I
−1.49455 + 3.77562I 0
u = −0.73227 − 1.25988I
a = −0.833476 − 0.058405I
b = 2.12716 − 0.59779I
−1.49455 − 3.77562I 0
u = 0.32907 + 1.43356I
a = −0.886738 + 0.351406I
b = 1.64787 − 0.67670I
4.78181 − 3.24134I 0
u = 0.32907 − 1.43356I
a = −0.886738 − 0.351406I
b = 1.64787 + 0.67670I
4.78181 + 3.24134I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.513098 + 0.121413I
a = 1.16758 − 1.16839I
b = 0.410054 + 0.623830I
2.59583 + 1.09690I 0
u = −0.513098 − 0.121413I
a = 1.16758 + 1.16839I
b = 0.410054 − 0.623830I
2.59583 − 1.09690I 0
u = 0.41144 + 1.41659I
a = 1.028130 − 0.327334I
b = −1.85859 + 0.76330I
5.04319 − 9.59843I 0
u = 0.41144 − 1.41659I
a = 1.028130 + 0.327334I
b = −1.85859 − 0.76330I
5.04319 + 9.59843I 0
u = 0.34534 + 1.43585I
a = 0.598256 − 0.141155I
b = −2.09257 − 0.47590I
2.98863 − 10.43970I 0
u = 0.34534 − 1.43585I
a = 0.598256 + 0.141155I
b = −2.09257 + 0.47590I
2.98863 + 10.43970I 0
u = 0.516897
a = 1.20945
b = −0.125668
−0.954100 −10.2530
u = 0.61551 + 1.35109I
a = 1.120190 − 0.173640I
b = −2.13192 + 0.68711I
2.6413 − 14.6849I 0
u = 0.61551 − 1.35109I
a = 1.120190 + 0.173640I
b = −2.13192 − 0.68711I
2.6413 + 14.6849I 0
u = 0.66522 + 1.33692I
a = −1.119940 + 0.142465I
b = 2.17290 − 0.65713I
0.2507 − 20.5629I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.66522 − 1.33692I
a = −1.119940 − 0.142465I
b = 2.17290 + 0.65713I
0.2507 + 20.5629I 0
u = 0.42550 + 1.44228I
a = −0.748181 + 0.262604I
b = 1.50489 − 0.43185I
4.60926 − 3.32511I 0
u = 0.42550 − 1.44228I
a = −0.748181 − 0.262604I
b = 1.50489 + 0.43185I
4.60926 + 3.32511I 0
u = 0.56368 + 1.40805I
a = 0.766645 − 0.176668I
b = −1.60840 + 0.34267I
3.24405 − 9.02008I 0
u = 0.56368 − 1.40805I
a = 0.766645 + 0.176668I
b = −1.60840 − 0.34267I
3.24405 + 9.02008I 0
u = −0.71656 + 1.33979I
a = −0.753847 − 0.227477I
b = 1.044230 + 0.464363I
−0.02247 + 11.32870I 0
u = −0.71656 − 1.33979I
a = −0.753847 + 0.227477I
b = 1.044230 − 0.464363I
−0.02247 − 11.32870I 0
u = −0.49822 + 1.46653I
a = 0.748044 + 0.015582I
b = −1.97028 − 0.60927I
−0.12102 + 5.34600I 0
u = −0.49822 − 1.46653I
a = 0.748044 − 0.015582I
b = −1.97028 + 0.60927I
−0.12102 − 5.34600I 0
u = −1.56335 + 0.07332I
a = 0.032674 + 0.474991I
b = 0.025260 + 0.615076I
−5.77700 − 1.72256I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56335 − 0.07332I
a = 0.032674 − 0.474991I
b = 0.025260 − 0.615076I
−5.77700 + 1.72256I 0
u = −0.13991 + 1.57030I
a = −0.071016 − 0.724131I
b = −0.053244 + 1.013660I
−4.60379 − 0.11635I 0
u = −0.13991 − 1.57030I
a = −0.071016 + 0.724131I
b = −0.053244 − 1.013660I
−4.60379 + 0.11635I 0
u = −0.71180 + 1.42727I
a = 0.609487 + 0.217093I
b = −0.813298 − 0.385846I
2.70580 + 5.01631I 0
u = −0.71180 − 1.42727I
a = 0.609487 − 0.217093I
b = −0.813298 + 0.385846I
2.70580 − 5.01631I 0
u = 0.26526 + 1.57649I
a = −0.543832 + 0.050609I
b = 1.272850 + 0.319374I
4.96537 + 2.30342I 0
u = 0.26526 − 1.57649I
a = −0.543832 − 0.050609I
b = 1.272850 − 0.319374I
4.96537 − 2.30342I 0
u = 0.14844 + 1.60083I
a = 0.584165 − 0.016214I
b = −1.43509 − 0.41691I
3.72137 + 8.14450I 0
u = 0.14844 − 1.60083I
a = 0.584165 + 0.016214I
b = −1.43509 + 0.41691I
3.72137 − 8.14450I 0
u = −0.65479 + 1.47102I
a = −0.763133 + 0.023821I
b = 2.03800 + 0.56334I
−1.03443 + 9.28196I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.65479 − 1.47102I
a = −0.763133 − 0.023821I
b = 2.03800 − 0.56334I
−1.03443 − 9.28196I 0
u = −0.312303 + 0.141967I
a = −1.79930 + 1.20496I
b = −0.933733 − 0.762846I
0.71234 − 3.47484I −4.37987 + 2.72449I
u = −0.312303 − 0.141967I
a = −1.79930 − 1.20496I
b = −0.933733 + 0.762846I
0.71234 + 3.47484I −4.37987 − 2.72449I
u = −1.67143 + 0.46273I
a = −0.001414 + 0.219486I
b = 0.122682 − 0.292817I
−3.28837 − 3.59752I 0
u = −1.67143 − 0.46273I
a = −0.001414 − 0.219486I
b = 0.122682 + 0.292817I
−3.28837 + 3.59752I 0
u = 0.005281 + 0.192987I
a = 3.13386 + 1.51454I
b = −0.027463 − 0.989321I
0.59603 − 1.82802I 1.51402 + 2.79741I
u = 0.005281 − 0.192987I
a = 3.13386 − 1.51454I
b = −0.027463 + 0.989321I
0.59603 + 1.82802I 1.51402 − 2.79741I
u = −0.0925270 + 0.0815445I
a = −4.51585 + 1.13805I
b = −0.733967 + 0.700652I
−0.24734 + 2.26571I 0.17025 − 2.28626I
u = −0.0925270 − 0.0815445I
a = −4.51585 − 1.13805I
b = −0.733967 − 0.700652I
−0.24734 − 2.26571I 0.17025 + 2.28626I
21
II.
I
u
2
= h−5.26×10
26
u
39
−1.81×10
27
u
38
+· · ·+2.28×10
25
b+8.10×10
26
, −1.64×
10
27
u
39
−6.97×10
27
u
38
+· · ·+2.28×10
25
a−9.46×10
26
, u
40
+4u
39
+· · ·−3u+1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
8
=
1
u
2
a
4
=
71.6927u
39
+ 304.968u
38
+ ··· + 113.975u + 41.4180
23.0347u
39
+ 79.4314u
38
+ ··· + 109.874u − 35.4675
a
12
=
−u
u
a
5
=
100.796u
39
+ 423.820u
38
+ ··· + 192.234u + 46.9073
−6.06818u
39
− 39.4214u
38
+ ··· + 31.6145u − 40.9568
a
3
=
110.031u
39
+ 449.316u
38
+ ··· + 240.952u + 24.1471
6.45267u
39
+ 15.4222u
38
+ ··· + 44.5190u − 26.4620
a
10
=
22.1557u
39
+ 78.3082u
38
+ ··· + 77.2236u − 14.4993
−15.0063u
39
− 56.8324u
38
+ ··· − 46.1735u + 9.55384
a
1
=
−25.9099u
39
− 76.3397u
38
+ ··· − 183.151u + 45.4235
12.0462u
39
+ 35.2174u
38
+ ··· + 83.2736u − 26.4760
a
2
=
−20.2386u
39
− 67.8077u
38
+ ··· − 372.911u + 101.042
5.36737u
39
+ 25.9113u
38
+ ··· − 119.655u + 50.0139
a
6
=
−145.176u
39
− 597.572u
38
+ ··· − 217.380u − 56.6715
5.10195u
39
+ 20.5067u
38
+ ··· + 66.6211u − 18.0169
a
9
=
15.6404u
39
+ 41.5610u
38
+ ··· + 139.695u − 29.1116
−6.31480u
39
− 14.4225u
38
+ ··· − 19.1735u + 16.1019
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
4275439336960499087481789679
22846217303103999900546823
u
39
−
17311858406485508666429995194
22846217303103999900546823
u
38
+ ··· −
20103483432536956955833173738
22846217303103999900546823
u +
2478173696883441897957024917
22846217303103999900546823
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
40
− 27u
39
+ ··· − 449u + 25
c
2
u
40
− 3u
39
+ ··· − u + 5
c
3
u
40
+ 2u
39
+ ··· + 137u + 11
c
4
u
40
− 4u
38
+ ··· + 7u + 1
c
5
u
40
+ u
39
+ ··· − 2u + 1
c
6
u
40
+ 3u
39
+ ··· + u + 5
c
7
u
40
+ 4u
39
+ ··· − 3u + 1
c
8
u
40
+ 2u
39
+ ··· − 3u + 1
c
9
u
40
− u
39
+ ··· + 2u + 1
c
10
u
40
− u
39
+ ··· + 4u + 1
c
11
u
40
− 4u
39
+ ··· + 3u + 1
c
12
u
40
+ 6u
39
+ ··· + 7u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
40
− 9y
39
+ ··· + 6049y + 625
c
2
, c
6
y
40
+ 27y
39
+ ··· + 449y + 25
c
3
y
40
− 2y
39
+ ··· + 283y + 121
c
4
y
40
− 8y
39
+ ··· + 17y + 1
c
5
, c
9
y
40
+ 23y
39
+ ··· + 2y + 1
c
7
, c
11
y
40
+ 20y
39
+ ··· + 37y + 1
c
8
y
40
− 26y
39
+ ··· + 7y + 1
c
10
y
40
− 15y
39
+ ··· + 24y + 1
c
12
y
40
− 26y
39
+ ··· + 65y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.000610 + 0.062722I
a = 0.132256 − 0.200534I
b = −0.224911 + 0.411976I
−1.55785 + 2.25792I −8.89857 + 0.14152I
u = 1.000610 − 0.062722I
a = 0.132256 + 0.200534I
b = −0.224911 − 0.411976I
−1.55785 − 2.25792I −8.89857 − 0.14152I
u = 0.635946 + 0.747629I
a = 0.562469 + 0.983131I
b = −1.018170 − 0.876142I
0.00567 − 2.92779I 3.79378 + 6.59323I
u = 0.635946 − 0.747629I
a = 0.562469 − 0.983131I
b = −1.018170 + 0.876142I
0.00567 + 2.92779I 3.79378 − 6.59323I
u = 0.522674 + 0.876851I
a = −1.08584 + 1.81764I
b = 1.36773 − 1.34829I
−0.241921 − 0.373650I −53.6972 + 59.5490I
u = 0.522674 − 0.876851I
a = −1.08584 − 1.81764I
b = 1.36773 + 1.34829I
−0.241921 + 0.373650I −53.6972 − 59.5490I
u = 0.481889 + 0.828528I
a = 1.86147 − 0.71669I
b = −2.44128 + 0.61397I
−0.44553 − 3.75219I 39.0996 + 5.1179I
u = 0.481889 − 0.828528I
a = 1.86147 + 0.71669I
b = −2.44128 − 0.61397I
−0.44553 + 3.75219I 39.0996 − 5.1179I
u = −0.276952 + 0.834432I
a = −0.934722 + 0.038138I
b = 1.07824 − 1.34037I
3.89568 + 0.61618I 0.59922 + 5.52526I
u = −0.276952 − 0.834432I
a = −0.934722 − 0.038138I
b = 1.07824 + 1.34037I
3.89568 − 0.61618I 0.59922 − 5.52526I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.090876 + 1.122960I
a = 0.816937 + 0.712026I
b = −1.245890 + 0.402876I
3.41587 − 3.99256I 2.16880 + 5.06425I
u = 0.090876 − 1.122960I
a = 0.816937 − 0.712026I
b = −1.245890 − 0.402876I
3.41587 + 3.99256I 2.16880 − 5.06425I
u = −0.100266 + 1.151600I
a = −0.779853 − 0.385178I
b = 1.230380 − 0.664511I
5.28386 + 1.08195I 3.60915 + 0.I
u = −0.100266 − 1.151600I
a = −0.779853 + 0.385178I
b = 1.230380 + 0.664511I
5.28386 − 1.08195I 3.60915 + 0.I
u = −0.046228 + 0.817962I
a = 1.235060 + 0.080695I
b = −1.80785 + 1.20462I
1.96343 + 3.70680I 2.69586 − 4.03700I
u = −0.046228 − 0.817962I
a = 1.235060 − 0.080695I
b = −1.80785 − 1.20462I
1.96343 − 3.70680I 2.69586 + 4.03700I
u = 0.118004 + 0.761801I
a = −0.11693 − 2.46603I
b = 0.674256 + 1.181060I
−7.24042 − 1.63239I −15.7298 − 4.5825I
u = 0.118004 − 0.761801I
a = −0.11693 + 2.46603I
b = 0.674256 − 1.181060I
−7.24042 + 1.63239I −15.7298 + 4.5825I
u = −0.557482 + 1.193090I
a = −0.895961 + 0.100987I
b = 2.12819 + 0.75855I
−1.93210 + 7.63734I 0
u = −0.557482 − 1.193090I
a = −0.895961 − 0.100987I
b = 2.12819 − 0.75855I
−1.93210 − 7.63734I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.234129 + 0.555315I
a = −0.19298 + 1.80509I
b = −1.23642 − 0.81326I
−1.54140 − 4.43294I −3.67824 + 5.06813I
u = 0.234129 − 0.555315I
a = −0.19298 − 1.80509I
b = −1.23642 + 0.81326I
−1.54140 + 4.43294I −3.67824 − 5.06813I
u = −0.079087 + 0.550668I
a = −0.58459 + 1.99369I
b = 0.110372 + 0.603197I
−5.47677 − 4.45923I −9.32149 + 0.28916I
u = −0.079087 − 0.550668I
a = −0.58459 − 1.99369I
b = 0.110372 − 0.603197I
−5.47677 + 4.45923I −9.32149 − 0.28916I
u = −1.44497 + 0.01090I
a = 0.005785 + 0.412438I
b = 0.168252 + 0.743972I
−6.08921 − 1.45647I 0
u = −1.44497 − 0.01090I
a = 0.005785 − 0.412438I
b = 0.168252 − 0.743972I
−6.08921 + 1.45647I 0
u = −0.60234 + 1.33174I
a = 0.719988 − 0.000811I
b = −2.13684 − 0.61072I
−1.32162 + 5.30517I 0
u = −0.60234 − 1.33174I
a = 0.719988 + 0.000811I
b = −2.13684 + 0.61072I
−1.32162 − 5.30517I 0
u = 0.193233 + 0.468603I
a = 0.37755 − 1.79755I
b = 1.65344 + 0.60590I
−3.76917 − 9.47067I −4.90618 + 8.41308I
u = 0.193233 − 0.468603I
a = 0.37755 + 1.79755I
b = 1.65344 − 0.60590I
−3.76917 + 9.47067I −4.90618 − 8.41308I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.012772 + 0.504459I
a = 0.47686 − 1.99743I
b = 0.777355 − 0.509364I
−6.03538 − 2.46180I −11.55347 + 2.14212I
u = 0.012772 − 0.504459I
a = 0.47686 + 1.99743I
b = 0.777355 + 0.509364I
−6.03538 + 2.46180I −11.55347 − 2.14212I
u = 0.20221 + 1.52429I
a = −0.254992 + 0.693281I
b = 0.172944 − 0.972600I
−4.63393 + 0.45781I 0
u = 0.20221 − 1.52429I
a = −0.254992 − 0.693281I
b = 0.172944 + 0.972600I
−4.63393 − 0.45781I 0
u = −0.37124 + 1.49511I
a = −0.524784 − 0.310322I
b = 1.291470 + 0.172257I
3.75657 + 4.37121I 0
u = −0.37124 − 1.49511I
a = −0.524784 + 0.310322I
b = 1.291470 − 0.172257I
3.75657 − 4.37121I 0
u = −0.42280 + 1.50512I
a = 0.571761 + 0.235101I
b = −1.71395 − 0.16913I
2.10825 + 10.23110I 0
u = −0.42280 − 1.50512I
a = 0.571761 − 0.235101I
b = −1.71395 + 0.16913I
2.10825 − 10.23110I 0
u = −1.59097 + 0.33587I
a = 0.110505 − 0.283777I
b = 0.172693 + 0.027395I
−3.17310 − 3.39293I 0
u = −1.59097 − 0.33587I
a = 0.110505 + 0.283777I
b = 0.172693 − 0.027395I
−3.17310 + 3.39293I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 27u
39
+ ··· − 449u + 25)
· (u
169
+ 82u
168
+ ··· − 2175796u − 290521)
c
2
(u
40
− 3u
39
+ ··· − u + 5)(u
169
+ 41u
167
+ ··· + 3738u + 539)
c
3
(u
40
+ 2u
39
+ ··· + 137u + 11)
· (u
169
− 3u
168
+ ··· + 179265310u + 1814710771)
c
4
(u
40
− 4u
38
+ ··· + 7u + 1)(u
169
+ 5u
168
+ ··· − 536700u + 54209)
c
5
(u
40
+ u
39
+ ··· − 2u + 1)(u
169
− 4u
168
+ ··· − 251625u + 225625)
c
6
(u
40
+ 3u
39
+ ··· + u + 5)(u
169
+ 41u
167
+ ··· + 3738u + 539)
c
7
(u
40
+ 4u
39
+ ··· − 3u + 1)(u
169
+ u
168
+ ··· − 396102u + 19639)
c
8
(u
40
+ 2u
39
+ ··· − 3u + 1)(u
169
+ 3u
168
+ ··· − 5120400u + 678325)
c
9
(u
40
− u
39
+ ··· + 2u + 1)(u
169
− 4u
168
+ ··· − 251625u + 225625)
c
10
(u
40
− u
39
+ ··· + 4u + 1)(u
169
− 2u
168
+ ··· + 1.62427 × 10
7
u + 2056633)
c
11
(u
40
− 4u
39
+ ··· + 3u + 1)(u
169
+ u
168
+ ··· − 396102u + 19639)
c
12
(u
40
+ 6u
39
+ ··· + 7u + 1)(u
169
− 15u
168
+ ··· − 22u + 1)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
40
− 9y
39
+ ··· + 6049y + 625)
· (y
169
+ 30y
168
+ ··· + 30317871838072y −84402451441)
c
2
, c
6
(y
40
+ 27y
39
+ ··· + 449y + 25)
· (y
169
+ 82y
168
+ ··· − 2175796y −290521)
c
3
(y
40
− 2y
39
+ ··· + 283y + 121)
· (y
169
+ 49y
168
+ ··· − 1.47 × 10
20
y −3.29 × 10
18
)
c
4
(y
40
− 8y
39
+ ··· + 17y + 1)
· (y
169
− 25y
168
+ ··· + 99052632400y −2938615681)
c
5
, c
9
(y
40
+ 23y
39
+ ··· + 2y + 1)
· (y
169
+ 110y
168
+ ··· − 2073635640625y −50906640625)
c
7
, c
11
(y
40
+ 20y
39
+ ··· + 37y + 1)
· (y
169
+ 99y
168
+ ··· − 26158246040y −385690321)
c
8
(y
40
− 26y
39
+ ··· + 7y + 1)
· (y
169
− 11y
168
+ ··· − 7757553615350y −460124805625)
c
10
(y
40
− 15y
39
+ ··· + 24y + 1)
· (y
169
+ 28y
168
+ ··· − 311436565903035y −4229739296689)
c
12
(y
40
− 26y
39
+ ··· + 65y + 1)(y
169
− 31y
168
+ ··· − 68y −1)
32
