12n
0872
(K12n
0872
)
A knot diagram
1
Linearized knot diagam
4 8 6 10 2 1 10 3 12 4 7 9
Solving Sequence
4,10 2,5
6 11 1 7 8 12 3 9
c
4
c
5
c
10
c
1
c
6
c
7
c
11
c
3
c
9
c
2
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.23788 × 10
617
u
103
− 2.13157 × 10
617
u
102
+ ··· + 4.60669 × 10
619
b − 1.99228 × 10
621
,
1.16323 × 10
621
u
103
+ 2.66509 × 10
620
u
102
+ ··· + 2.21582 × 10
622
a + 2.45180 × 10
624
,
u
104
− 46u
102
+ ··· + 1213u − 481i
I
u
2
= h3.57205 × 10
41
u
38
− 1.99879 × 10
42
u
37
+ ··· + 2.14995 × 10
42
b + 5.04738 × 10
42
,
− 1.71684 × 10
43
u
38
+ 1.96289 × 10
43
u
37
+ ··· + 2.14995 × 10
42
a − 6.45705 × 10
43
, u
39
− u
38
+ ··· + 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 143 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−9.24 × 10
617
u
103
− 2.13 × 10
617
u
102
+ · · · + 4.61 × 10
619
b − 1.99 ×
10
621
, 1.16 × 10
621
u
103
+ 2.67 × 10
620
u
102
+ · · · + 2.22 × 10
622
a + 2.45 ×
10
624
, u
104
− 46u
102
+ · · · + 1213u − 481i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
2
=
−0.0524965u
103
− 0.0120276u
102
+ ··· − 186.829u − 110.650
0.0200532u
103
+ 0.00462711u
102
+ ··· + 74.8146u + 43.2475
a
5
=
1
−u
2
a
6
=
−0.0381236u
103
− 0.00827763u
102
+ ··· − 138.937u − 72.1056
0.0437309u
103
+ 0.0101189u
102
+ ··· + 163.774u + 92.2742
a
11
=
u
u
a
1
=
−0.0324433u
103
− 0.00740048u
102
+ ··· − 112.015u − 67.4025
0.0200532u
103
+ 0.00462711u
102
+ ··· + 74.8146u + 43.2475
a
7
=
0.134160u
103
+ 0.0308828u
102
+ ··· + 503.351u + 280.897
0.0829877u
103
+ 0.0195287u
102
+ ··· + 307.232u + 172.162
a
8
=
0.134160u
103
+ 0.0308828u
102
+ ··· + 503.351u + 280.897
0.0757825u
103
+ 0.0178965u
102
+ ··· + 280.162u + 157.307
a
12
=
0.150051u
103
+ 0.0345510u
102
+ ··· + 576.541u + 307.325
0.0617242u
103
+ 0.0144059u
102
+ ··· + 222.546u + 125.979
a
3
=
−0.128848u
103
− 0.0292433u
102
+ ··· − 481.056u − 271.980
−0.0856454u
103
− 0.0201046u
102
+ ··· − 318.073u − 177.623
a
9
=
0.0927804u
103
+ 0.0225380u
102
+ ··· + 335.410u + 191.496
−0.0320252u
103
− 0.00726549u
102
+ ··· − 122.725u − 67.7945
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0640073u
103
+ 0.0156871u
102
+ ··· + 282.714u + 148.258
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
104
− 12u
103
+ ··· − 248936u − 16709
c
2
, c
8
u
104
+ 3u
103
+ ··· + 113528u + 9059
c
3
u
104
− 7u
103
+ ··· − 6u + 1
c
4
, c
10
u
104
− 46u
102
+ ··· − 1213u − 481
c
5
u
104
+ 17u
102
+ ··· − 422700176u − 225656489
c
6
u
104
+ 4u
103
+ ··· − 39794u − 3223
c
7
u
104
+ 4u
103
+ ··· − 7017838u − 1565497
c
9
, c
12
u
104
− 6u
103
+ ··· − 580u + 71
c
11
u
104
− 2u
103
+ ··· − 63017876u − 39654871
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
104
+ 46y
103
+ ··· − 6027901366y + 279190681
c
2
, c
8
y
104
− 83y
103
+ ··· − 2711816774y + 82065481
c
3
y
104
− 21y
103
+ ··· − 186y + 1
c
4
, c
10
y
104
− 92y
103
+ ··· − 6263091y + 231361
c
5
y
104
+ 34y
103
+ ··· + 567548679396571134y + 50920851027807121
c
6
y
104
− 32y
103
+ ··· + 738170736y + 10387729
c
7
y
104
− 46y
103
+ ··· − 93370286202562y + 2450780857009
c
9
, c
12
y
104
+ 64y
103
+ ··· + 348466y + 5041
c
11
y
104
− 38y
103
+ ··· − 12842525972544346y + 1572508794026641
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.756388 + 0.614504I
a = 0.953008 − 0.229351I
b = −0.239639 + 0.440382I
0.84585 − 1.85988I 0
u = −0.756388 − 0.614504I
a = 0.953008 + 0.229351I
b = −0.239639 − 0.440382I
0.84585 + 1.85988I 0
u = 0.043265 + 1.026080I
a = 0.046814 + 0.470367I
b = −0.468872 + 0.940055I
1.10399 + 5.81000I 0
u = 0.043265 − 1.026080I
a = 0.046814 − 0.470367I
b = −0.468872 − 0.940055I
1.10399 − 5.81000I 0
u = 0.559475 + 0.780068I
a = −1.146960 + 0.561597I
b = −0.303316 + 0.521127I
1.77195 + 6.26844I 0
u = 0.559475 − 0.780068I
a = −1.146960 − 0.561597I
b = −0.303316 − 0.521127I
1.77195 − 6.26844I 0
u = 0.479752 + 0.972353I
a = −1.91141 − 1.44571I
b = −1.028730 + 0.471775I
−2.99427 + 3.87327I 0
u = 0.479752 − 0.972353I
a = −1.91141 + 1.44571I
b = −1.028730 − 0.471775I
−2.99427 − 3.87327I 0
u = −1.11214
a = 0.978552
b = 0.687155
1.70571 0
u = 0.257608 + 0.797734I
a = 0.519153 − 0.274406I
b = −0.681323 − 0.687497I
−1.82356 − 1.36255I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.257608 − 0.797734I
a = 0.519153 + 0.274406I
b = −0.681323 + 0.687497I
−1.82356 + 1.36255I 0
u = −0.079941 + 0.815009I
a = 0.366854 − 0.910951I
b = −0.407217 − 0.332853I
−1.77525 − 1.53905I 0
u = −0.079941 − 0.815009I
a = 0.366854 + 0.910951I
b = −0.407217 + 0.332853I
−1.77525 + 1.53905I 0
u = −0.552200 + 1.118290I
a = 1.52956 − 0.88253I
b = 1.69002 + 0.24137I
−0.45824 − 4.15337I 0
u = −0.552200 − 1.118290I
a = 1.52956 + 0.88253I
b = 1.69002 − 0.24137I
−0.45824 + 4.15337I 0
u = −1.237520 + 0.208871I
a = 0.42277 + 1.36469I
b = −0.283995 − 1.243000I
4.04848 − 3.85454I 0
u = −1.237520 − 0.208871I
a = 0.42277 − 1.36469I
b = −0.283995 + 1.243000I
4.04848 + 3.85454I 0
u = 1.241120 + 0.205283I
a = 0.339401 − 1.191240I
b = −0.278663 + 1.316540I
3.18290 + 3.60441I 0
u = 1.241120 − 0.205283I
a = 0.339401 + 1.191240I
b = −0.278663 − 1.316540I
3.18290 − 3.60441I 0
u = −0.052331 + 1.292450I
a = −0.0316547 − 0.0907787I
b = −0.592848 − 0.101762I
−3.95483 − 1.93894I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.052331 − 1.292450I
a = −0.0316547 + 0.0907787I
b = −0.592848 + 0.101762I
−3.95483 + 1.93894I 0
u = 1.316300 + 0.242283I
a = 0.699095 + 0.836061I
b = 0.701758 − 0.503985I
5.01156 + 5.64140I 0
u = 1.316300 − 0.242283I
a = 0.699095 − 0.836061I
b = 0.701758 + 0.503985I
5.01156 − 5.64140I 0
u = −0.174763 + 1.327980I
a = 0.121819 − 0.136944I
b = 0.520470 + 1.048980I
8.07740 + 0.96350I 0
u = −0.174763 − 1.327980I
a = 0.121819 + 0.136944I
b = 0.520470 − 1.048980I
8.07740 − 0.96350I 0
u = −0.520435 + 0.354656I
a = 1.056080 + 0.327009I
b = −0.450370 − 0.117474I
0.84359 − 1.70694I 4.49768 + 5.15421I
u = −0.520435 − 0.354656I
a = 1.056080 − 0.327009I
b = −0.450370 + 0.117474I
0.84359 + 1.70694I 4.49768 − 5.15421I
u = 0.596675 + 0.201234I
a = 0.408682 + 0.394693I
b = 0.238546 − 0.794451I
3.32423 − 2.67744I 6.96385 + 1.14988I
u = 0.596675 − 0.201234I
a = 0.408682 − 0.394693I
b = 0.238546 + 0.794451I
3.32423 + 2.67744I 6.96385 − 1.14988I
u = −1.381170 + 0.256326I
a = 0.455512 − 0.994438I
b = 0.173705 + 0.785758I
3.20991 − 0.82993I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.381170 − 0.256326I
a = 0.455512 + 0.994438I
b = 0.173705 − 0.785758I
3.20991 + 0.82993I 0
u = 0.473373 + 0.304198I
a = 0.780415 + 0.227803I
b = −1.065160 − 0.452018I
−1.88690 − 1.07563I −0.370812 − 1.040121I
u = 0.473373 − 0.304198I
a = 0.780415 − 0.227803I
b = −1.065160 + 0.452018I
−1.88690 + 1.07563I −0.370812 + 1.040121I
u = −0.499233 + 0.255636I
a = 0.498852 + 0.083658I
b = 0.530811 − 0.422327I
1.340360 − 0.220514I 8.29449 + 0.78751I
u = −0.499233 − 0.255636I
a = 0.498852 − 0.083658I
b = 0.530811 + 0.422327I
1.340360 + 0.220514I 8.29449 − 0.78751I
u = 1.43614 + 0.11613I
a = 0.383333 + 1.117580I
b = 0.216582 − 1.063790I
7.23064 − 2.27781I 0
u = 1.43614 − 0.11613I
a = 0.383333 − 1.117580I
b = 0.216582 + 1.063790I
7.23064 + 2.27781I 0
u = −1.43874 + 0.08514I
a = −0.18808 + 1.43903I
b = 0.268252 − 1.200850I
9.50641 − 2.53195I 0
u = −1.43874 − 0.08514I
a = −0.18808 − 1.43903I
b = 0.268252 + 1.200850I
9.50641 + 2.53195I 0
u = 0.337037 + 0.433784I
a = 1.232520 − 0.335320I
b = −0.983901 + 0.278226I
−0.53776 + 1.39330I 1.75716 + 0.61906I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.337037 − 0.433784I
a = 1.232520 + 0.335320I
b = −0.983901 − 0.278226I
−0.53776 − 1.39330I 1.75716 − 0.61906I
u = −1.45495 + 0.02322I
a = −0.60993 − 1.34266I
b = −0.143920 + 0.848854I
10.85450 − 6.48839I 0
u = −1.45495 − 0.02322I
a = −0.60993 + 1.34266I
b = −0.143920 − 0.848854I
10.85450 + 6.48839I 0
u = −0.090629 + 0.518992I
a = 1.290290 + 0.113821I
b = −0.992919 − 0.177822I
−0.848158 − 0.616971I 5.30485 + 0.57557I
u = −0.090629 − 0.518992I
a = 1.290290 − 0.113821I
b = −0.992919 + 0.177822I
−0.848158 + 0.616971I 5.30485 − 0.57557I
u = −0.025369 + 0.510521I
a = 1.04170 + 2.27833I
b = −0.109941 + 1.010940I
0.96411 − 2.80779I 3.93129 − 3.03588I
u = −0.025369 − 0.510521I
a = 1.04170 − 2.27833I
b = −0.109941 − 1.010940I
0.96411 + 2.80779I 3.93129 + 3.03588I
u = 0.061045 + 0.493659I
a = 2.37160 − 0.15194I
b = 0.947452 + 0.263918I
−0.25369 − 2.78146I 2.20642 + 5.49581I
u = 0.061045 − 0.493659I
a = 2.37160 + 0.15194I
b = 0.947452 − 0.263918I
−0.25369 + 2.78146I 2.20642 − 5.49581I
u = 0.18426 + 1.49536I
a = 0.325806 − 0.013730I
b = −0.190423 − 0.077217I
−1.71906 + 0.61777I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.18426 − 1.49536I
a = 0.325806 + 0.013730I
b = −0.190423 + 0.077217I
−1.71906 − 0.61777I 0
u = 1.51730 + 0.38462I
a = 0.002624 − 1.264570I
b = −0.94235 + 1.62193I
2.76297 + 6.27366I 0
u = 1.51730 − 0.38462I
a = 0.002624 + 1.264570I
b = −0.94235 − 1.62193I
2.76297 − 6.27366I 0
u = −1.56574 + 0.12682I
a = −0.639263 − 0.502518I
b = −1.081930 + 0.421284I
7.69459 + 6.35826I 0
u = −1.56574 − 0.12682I
a = −0.639263 + 0.502518I
b = −1.081930 − 0.421284I
7.69459 − 6.35826I 0
u = 1.55933 + 0.22492I
a = 0.155107 + 1.012440I
b = 0.274584 − 0.670362I
5.23399 + 4.89676I 0
u = 1.55933 − 0.22492I
a = 0.155107 − 1.012440I
b = 0.274584 + 0.670362I
5.23399 − 4.89676I 0
u = −1.55267 + 0.31896I
a = −0.096842 + 1.391900I
b = −0.94876 − 2.49473I
5.77660 − 1.06575I 0
u = −1.55267 − 0.31896I
a = −0.096842 − 1.391900I
b = −0.94876 + 2.49473I
5.77660 + 1.06575I 0
u = 1.58254 + 0.13787I
a = −0.441432 − 0.916190I
b = 0.191245 + 1.306220I
5.73185 − 6.24754I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58254 − 0.13787I
a = −0.441432 + 0.916190I
b = 0.191245 − 1.306220I
5.73185 + 6.24754I 0
u = 1.60273 + 0.13079I
a = −0.077357 − 1.159800I
b = 0.172948 + 1.329900I
8.08362 + 2.71293I 0
u = 1.60273 − 0.13079I
a = −0.077357 + 1.159800I
b = 0.172948 − 1.329900I
8.08362 − 2.71293I 0
u = 1.60813 + 0.02386I
a = −0.250032 + 1.049610I
b = 0.289823 − 0.885399I
5.89098 + 4.69416I 0
u = 1.60813 − 0.02386I
a = −0.250032 − 1.049610I
b = 0.289823 + 0.885399I
5.89098 − 4.69416I 0
u = −1.59173 + 0.37969I
a = 0.044658 + 1.232300I
b = −1.10744 − 1.54241I
6.91684 − 11.13780I 0
u = −1.59173 − 0.37969I
a = 0.044658 − 1.232300I
b = −1.10744 + 1.54241I
6.91684 + 11.13780I 0
u = 1.64848 + 0.01689I
a = −0.395136 − 0.733982I
b = 2.09514 + 1.15918I
9.53284 + 7.96172I 0
u = 1.64848 − 0.01689I
a = −0.395136 + 0.733982I
b = 2.09514 − 1.15918I
9.53284 − 7.96172I 0
u = −1.64310 + 0.13786I
a = −0.364892 + 0.902513I
b = 0.43140 − 1.45698I
5.18984 + 2.46675I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.64310 − 0.13786I
a = −0.364892 − 0.902513I
b = 0.43140 + 1.45698I
5.18984 − 2.46675I 0
u = −0.166413 + 0.298634I
a = 3.16526 + 1.96290I
b = 0.828427 − 0.529954I
6.21785 + 5.73133I 5.01843 − 6.13992I
u = −0.166413 − 0.298634I
a = 3.16526 − 1.96290I
b = 0.828427 + 0.529954I
6.21785 − 5.73133I 5.01843 + 6.13992I
u = 1.66740
a = −0.621700
b = −1.22807
3.12880 0
u = 1.66090 + 0.15762I
a = −0.414612 − 0.909175I
b = 1.19545 + 1.41298I
12.88540 − 3.37022I 0
u = 1.66090 − 0.15762I
a = −0.414612 + 0.909175I
b = 1.19545 − 1.41298I
12.88540 + 3.37022I 0
u = 0.323065 + 0.053749I
a = 6.12307 + 1.87193I
b = −0.208011 − 0.846828I
−2.44406 − 2.53576I 5.95296 + 7.08262I
u = 0.323065 − 0.053749I
a = 6.12307 − 1.87193I
b = −0.208011 + 0.846828I
−2.44406 + 2.53576I 5.95296 − 7.08262I
u = −0.10274 + 1.67429I
a = 0.0921413 + 0.0591271I
b = 0.56502 − 1.30388I
2.51947 + 3.44695I 0
u = −0.10274 − 1.67429I
a = 0.0921413 − 0.0591271I
b = 0.56502 + 1.30388I
2.51947 − 3.44695I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54450 + 0.76341I
a = 0.359265 + 1.206980I
b = 1.18244 − 1.28426I
12.8242 + 6.3084I 0
u = 1.54450 − 0.76341I
a = 0.359265 − 1.206980I
b = 1.18244 + 1.28426I
12.8242 − 6.3084I 0
u = −1.73970 + 0.05367I
a = −0.296579 + 0.866963I
b = 0.609796 − 0.896396I
8.21686 + 6.53641I 0
u = −1.73970 − 0.05367I
a = −0.296579 − 0.866963I
b = 0.609796 + 0.896396I
8.21686 − 6.53641I 0
u = −1.74903 + 0.15975I
a = −0.664116 + 0.965931I
b = 2.06036 − 2.62689I
6.33606 − 0.80961I 0
u = −1.74903 − 0.15975I
a = −0.664116 − 0.965931I
b = 2.06036 + 2.62689I
6.33606 + 0.80961I 0
u = 0.232422 + 0.001806I
a = 1.61246 + 1.60544I
b = 1.111540 − 0.606422I
1.09944 + 7.69062I 9.29665 − 1.98480I
u = 0.232422 − 0.001806I
a = 1.61246 − 1.60544I
b = 1.111540 + 0.606422I
1.09944 − 7.69062I 9.29665 + 1.98480I
u = −0.184348 + 0.131797I
a = 7.96561 + 8.61699I
b = 0.032242 − 0.731472I
2.63552 − 8.00089I 13.8289 + 5.2451I
u = −0.184348 − 0.131797I
a = 7.96561 − 8.61699I
b = 0.032242 + 0.731472I
2.63552 + 8.00089I 13.8289 − 5.2451I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.62585 + 0.71969I
a = −0.341893 − 0.759788I
b = −0.346088 + 1.177830I
8.01378 + 4.66019I 0
u = 1.62585 − 0.71969I
a = −0.341893 + 0.759788I
b = −0.346088 − 1.177830I
8.01378 − 4.66019I 0
u = −0.096357 + 0.189225I
a = 1.84010 − 1.28802I
b = 1.099090 + 0.511799I
−0.37155 − 4.63756I 5.92962 + 12.03433I
u = −0.096357 − 0.189225I
a = 1.84010 + 1.28802I
b = 1.099090 − 0.511799I
−0.37155 + 4.63756I 5.92962 − 12.03433I
u = −0.08271 + 1.80979I
a = 0.0552974 − 0.0688722I
b = 0.364543 + 1.297180I
5.71209 − 9.57896I 0
u = −0.08271 − 1.80979I
a = 0.0552974 + 0.0688722I
b = 0.364543 − 1.297180I
5.71209 + 9.57896I 0
u = −1.64125 + 0.86922I
a = −0.309707 + 0.660661I
b = −0.447918 − 1.094930I
12.0338 − 9.2583I 0
u = −1.64125 − 0.86922I
a = −0.309707 − 0.660661I
b = −0.447918 + 1.094930I
12.0338 + 9.2583I 0
u = 1.72596 + 0.69271I
a = 0.176980 + 1.109110I
b = 1.09514 − 1.44804I
11.5105 + 18.3276I 0
u = 1.72596 − 0.69271I
a = 0.176980 − 1.109110I
b = 1.09514 + 1.44804I
11.5105 − 18.3276I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.69905 + 0.75774I
a = 0.250741 − 1.095290I
b = 1.16105 + 1.43310I
7.5758 − 12.1822I 0
u = −1.69905 − 0.75774I
a = 0.250741 + 1.095290I
b = 1.16105 − 1.43310I
7.5758 + 12.1822I 0
u = −1.81637 + 0.71837I
a = −0.238109 + 0.780834I
b = −0.47363 − 1.36093I
11.24820 + 0.27627I 0
u = −1.81637 − 0.71837I
a = −0.238109 − 0.780834I
b = −0.47363 + 1.36093I
11.24820 − 0.27627I 0
15
II.
I
u
2
= h3.57×10
41
u
38
−2.00×10
42
u
37
+· · ·+2.15×10
42
b+5.05×10
42
, −1.72×
10
43
u
38
+1.96×10
43
u
37
+· · ·+2.15×10
42
a−6.46×10
43
, u
39
−u
38
+· · ·+6u+1i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
2
=
7.98548u
38
− 9.12995u
37
+ ··· + 81.0981u + 30.0335
−0.166146u
38
+ 0.929693u
37
+ ··· + 1.67110u − 2.34768
a
5
=
1
−u
2
a
6
=
−7.79895u
38
+ 9.46660u
37
+ ··· − 79.2390u − 29.2786
1.60711u
38
− 0.715761u
37
+ ··· + 17.0296u + 4.72651
a
11
=
u
u
a
1
=
7.81934u
38
− 8.20026u
37
+ ··· + 82.7692u + 27.6859
−0.166146u
38
+ 0.929693u
37
+ ··· + 1.67110u − 2.34768
a
7
=
−5.03822u
38
+ 8.07873u
37
+ ··· − 38.0591u − 19.7559
3.70352u
38
− 2.35693u
37
+ ··· + 40.4455u + 11.0152
a
8
=
−5.03822u
38
+ 8.07873u
37
+ ··· − 38.0591u − 19.7559
3.90266u
38
− 2.45839u
37
+ ··· + 53.6503u + 14.0557
a
12
=
7.59285u
38
− 9.38603u
37
+ ··· + 65.4431u + 27.8874
1.40118u
38
− 2.14980u
37
+ ··· + 8.57664u + 3.91192
a
3
=
6.37281u
38
− 9.21544u
37
+ ··· + 60.7681u + 26.4002
−2.71720u
38
+ 0.940791u
37
+ ··· − 39.0238u − 9.32125
a
9
=
−6.44687u
38
+ 7.05539u
37
+ ··· − 57.6520u − 20.8889
1.10191u
38
− 1.92891u
37
+ ··· + 21.2655u + 8.42309
(ii) Obstruction class = 1
(iii) Cusp Shapes = 17.4964u
38
− 17.4105u
37
+ ··· + 159.113u + 50.7900
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
39
+ u
38
+ ··· + 5u − 1
c
2
u
39
− 2u
38
+ ··· + 3u − 1
c
3
u
39
− 12u
38
+ ··· + 3u − 1
c
4
u
39
− u
38
+ ··· + 6u + 1
c
5
u
39
+ 5u
38
+ ··· + 9u + 1
c
6
u
39
− u
38
+ ··· + u + 1
c
7
u
39
+ 9u
38
+ ··· − 27u − 1
c
8
u
39
+ 2u
38
+ ··· + 3u + 1
c
9
u
39
− 7u
38
+ ··· − 111u + 17
c
10
u
39
+ u
38
+ ··· + 6u − 1
c
11
u
39
+ u
38
+ ··· + u − 1
c
12
u
39
+ 7u
38
+ ··· − 111u − 17
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 11y
38
+ ··· + 9y −1
c
2
, c
8
y
39
− 30y
38
+ ··· + 21y −1
c
3
y
39
− 24y
38
+ ··· − 51y −1
c
4
, c
10
y
39
− 15y
38
+ ··· + 10y −1
c
5
y
39
− 21y
38
+ ··· − 419y −1
c
6
y
39
− 11y
38
+ ··· − 69y −1
c
7
y
39
+ 15y
38
+ ··· + 117y −1
c
9
, c
12
y
39
+ 21y
38
+ ··· − 6243y −289
c
11
y
39
+ 11y
38
+ ··· − 23y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.714234 + 0.646090I
a = 0.567389 − 0.166197I
b = −0.897728 + 0.002371I
−0.42956 − 2.08315I 1.07908 + 10.26660I
u = −0.714234 − 0.646090I
a = 0.567389 + 0.166197I
b = −0.897728 − 0.002371I
−0.42956 + 2.08315I 1.07908 − 10.26660I
u = 0.481158 + 0.998076I
a = 1.67117 + 1.11651I
b = 1.66742 + 0.03836I
−0.68641 + 4.30104I −8.2586 − 15.9444I
u = 0.481158 − 0.998076I
a = 1.67117 − 1.11651I
b = 1.66742 − 0.03836I
−0.68641 − 4.30104I −8.2586 + 15.9444I
u = 1.112590 + 0.017384I
a = 0.745644 + 1.198550I
b = −0.113319 − 1.246330I
4.15102 − 4.90321I 6.96774 + 7.97063I
u = 1.112590 − 0.017384I
a = 0.745644 − 1.198550I
b = −0.113319 + 1.246330I
4.15102 + 4.90321I 6.96774 − 7.97063I
u = −0.222731 + 0.835366I
a = 0.337960 − 0.239393I
b = −0.799132 + 0.439136I
−1.73712 + 0.24562I −2.41052 + 2.12061I
u = −0.222731 − 0.835366I
a = 0.337960 + 0.239393I
b = −0.799132 − 0.439136I
−1.73712 − 0.24562I −2.41052 − 2.12061I
u = 0.375900 + 0.690760I
a = 2.01354 − 0.71595I
b = 0.303125 − 1.354280I
1.12137 + 3.36026I 9.5968 − 11.1830I
u = 0.375900 − 0.690760I
a = 2.01354 + 0.71595I
b = 0.303125 + 1.354280I
1.12137 − 3.36026I 9.5968 + 11.1830I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.454300 + 1.145050I
a = −1.77685 + 1.04562I
b = −1.070190 − 0.458548I
−2.63420 − 3.92959I 8.09206 + 6.77888I
u = −0.454300 − 1.145050I
a = −1.77685 − 1.04562I
b = −1.070190 + 0.458548I
−2.63420 + 3.92959I 8.09206 − 6.77888I
u = −1.24851
a = −1.17716
b = −0.780352
1.41069 −14.4990
u = 1.272260 + 0.166109I
a = −0.869963 − 0.952108I
b = −0.693692 + 0.551477I
5.03700 + 5.96400I 6.7854 − 17.7637I
u = 1.272260 − 0.166109I
a = −0.869963 + 0.952108I
b = −0.693692 − 0.551477I
5.03700 − 5.96400I 6.7854 + 17.7637I
u = 0.311211 + 0.596597I
a = 0.172876 + 0.158815I
b = 1.111070 + 0.652901I
−0.57987 − 4.15092I 0.15664 − 1.51083I
u = 0.311211 − 0.596597I
a = 0.172876 − 0.158815I
b = 1.111070 − 0.652901I
−0.57987 + 4.15092I 0.15664 + 1.51083I
u = 0.312657 + 0.572753I
a = 0.215966 − 0.166208I
b = 0.990024 − 0.564976I
0.68699 + 8.04590I −2.39016 − 12.20225I
u = 0.312657 − 0.572753I
a = 0.215966 + 0.166208I
b = 0.990024 + 0.564976I
0.68699 − 8.04590I −2.39016 + 12.20225I
u = −0.173412 + 0.621258I
a = −0.68541 − 3.69947I
b = −0.053529 − 0.487116I
2.21579 − 8.10973I −3.82432 + 10.35697I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.173412 − 0.621258I
a = −0.68541 + 3.69947I
b = −0.053529 + 0.487116I
2.21579 + 8.10973I −3.82432 − 10.35697I
u = 0.128428 + 1.376150I
a = 0.310283 − 0.006319I
b = −0.491663 + 0.093070I
−1.91949 + 0.73835I −14.3543 − 11.4356I
u = 0.128428 − 1.376150I
a = 0.310283 + 0.006319I
b = −0.491663 − 0.093070I
−1.91949 − 0.73835I −14.3543 + 11.4356I
u = −1.369690 + 0.203673I
a = 0.279040 + 1.137730I
b = −0.32764 − 1.39829I
2.77371 − 3.09104I 0
u = −1.369690 − 0.203673I
a = 0.279040 − 1.137730I
b = −0.32764 + 1.39829I
2.77371 + 3.09104I 0
u = −1.40802 + 0.13736I
a = −0.604487 + 1.106370I
b = 0.337327 − 0.798972I
8.52161 + 5.14948I 0
u = −1.40802 − 0.13736I
a = −0.604487 − 1.106370I
b = 0.337327 + 0.798972I
8.52161 − 5.14948I 0
u = −0.03599 + 1.47002I
a = 0.236779 + 0.000150I
b = 0.322316 + 0.203582I
−3.64293 − 1.95250I 0
u = −0.03599 − 1.47002I
a = 0.236779 − 0.000150I
b = 0.322316 − 0.203582I
−3.64293 + 1.95250I 0
u = −0.117621 + 0.507121I
a = 2.66716 + 2.72764I
b = −0.383874 + 0.570432I
−2.89285 + 2.32384I −9.41904 − 1.51012I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.117621 − 0.507121I
a = 2.66716 − 2.72764I
b = −0.383874 − 0.570432I
−2.89285 − 2.32384I −9.41904 + 1.51012I
u = −1.48664 + 0.02246I
a = 0.280735 + 0.606854I
b = 1.038490 − 0.338876I
9.47591 − 6.43947I 0
u = −1.48664 − 0.02246I
a = 0.280735 − 0.606854I
b = 1.038490 + 0.338876I
9.47591 + 6.43947I 0
u = 1.67357 + 0.22377I
a = −0.456454 − 1.214950I
b = 0.77755 + 2.86138I
6.20977 + 0.99443I 0
u = 1.67357 − 0.22377I
a = −0.456454 + 1.214950I
b = 0.77755 − 2.86138I
6.20977 − 0.99443I 0
u = 1.71613 + 0.04435I
a = −0.265544 − 0.915483I
b = 0.242885 + 1.082420I
6.80583 − 4.95581I 0
u = 1.71613 − 0.04435I
a = −0.265544 + 0.915483I
b = 0.242885 − 1.082420I
6.80583 + 4.95581I 0
u = −0.277002 + 0.011658I
a = 0.24875 + 2.82151I
b = −1.069260 − 0.235741I
−1.92818 − 2.02296I −0.64962 + 5.12891I
u = −0.277002 − 0.011658I
a = 0.24875 − 2.82151I
b = −1.069260 + 0.235741I
−1.92818 + 2.02296I −0.64962 − 5.12891I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
39
+ u
38
+ ··· + 5u − 1)(u
104
− 12u
103
+ ··· − 248936u − 16709)
c
2
(u
39
− 2u
38
+ ··· + 3u − 1)(u
104
+ 3u
103
+ ··· + 113528u + 9059)
c
3
(u
39
− 12u
38
+ ··· + 3u − 1)(u
104
− 7u
103
+ ··· − 6u + 1)
c
4
(u
39
− u
38
+ ··· + 6u + 1)(u
104
− 46u
102
+ ··· − 1213u − 481)
c
5
(u
39
+ 5u
38
+ ··· + 9u + 1)
· (u
104
+ 17u
102
+ ··· − 422700176u − 225656489)
c
6
(u
39
− u
38
+ ··· + u + 1)(u
104
+ 4u
103
+ ··· − 39794u − 3223)
c
7
(u
39
+ 9u
38
+ ··· − 27u − 1)
· (u
104
+ 4u
103
+ ··· − 7017838u − 1565497)
c
8
(u
39
+ 2u
38
+ ··· + 3u + 1)(u
104
+ 3u
103
+ ··· + 113528u + 9059)
c
9
(u
39
− 7u
38
+ ··· − 111u + 17)(u
104
− 6u
103
+ ··· − 580u + 71)
c
10
(u
39
+ u
38
+ ··· + 6u − 1)(u
104
− 46u
102
+ ··· − 1213u − 481)
c
11
(u
39
+ u
38
+ ··· + u − 1)(u
104
− 2u
103
+ ··· − 6.30179 × 10
7
u − 3.96549 × 10
7
)
c
12
(u
39
+ 7u
38
+ ··· − 111u − 17)(u
104
− 6u
103
+ ··· − 580u + 71)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
39
+ 11y
38
+ ··· + 9y −1)
· (y
104
+ 46y
103
+ ··· − 6027901366y + 279190681)
c
2
, c
8
(y
39
− 30y
38
+ ··· + 21y −1)
· (y
104
− 83y
103
+ ··· − 2711816774y + 82065481)
c
3
(y
39
− 24y
38
+ ··· − 51y −1)(y
104
− 21y
103
+ ··· − 186y + 1)
c
4
, c
10
(y
39
− 15y
38
+ ··· + 10y −1)
· (y
104
− 92y
103
+ ··· − 6263091y + 231361)
c
5
(y
39
− 21y
38
+ ··· − 419y −1)
· (y
104
+ 34y
103
+ ··· + 567548679396571134y + 50920851027807121)
c
6
(y
39
− 11y
38
+ ··· − 69y −1)
· (y
104
− 32y
103
+ ··· + 738170736y + 10387729)
c
7
(y
39
+ 15y
38
+ ··· + 117y −1)
· (y
104
− 46y
103
+ ··· − 93370286202562y + 2450780857009)
c
9
, c
12
(y
39
+ 21y
38
+ ··· − 6243y −289)
· (y
104
+ 64y
103
+ ··· + 348466y + 5041)
c
11
(y
39
+ 11y
38
+ ··· − 23y −1)
· (y
104
− 38y
103
+ ··· − 12842525972544346y + 1572508794026641)
26
