12a
1111
(K12a
1111
)
A knot diagram
1
Linearized knot diagam
4 7 11 1 12 10 3 5 6 2 8 9
Solving Sequence
2,7 3,11
4 8 12 1 10 6 5 9
c
2
c
3
c
7
c
11
c
1
c
10
c
6
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.44358 × 10
663
u
142
− 3.78775 × 10
662
u
141
+ ··· + 6.82477 × 10
666
b + 1.57113 × 10
666
,
3.65254 × 10
666
u
142
− 5.30227 × 10
666
u
141
+ ··· + 7.02951 × 10
668
a + 1.55949 × 10
669
,
u
143
− u
142
+ ··· + 386u + 206i
I
u
2
= h2.25450 × 10
32
u
39
+ 6.59613 × 10
31
u
38
+ ··· + 9.63661 × 10
32
b + 2.18292 × 10
33
,
1.16107 × 10
33
u
39
− 1.36968 × 10
33
u
38
+ ··· + 1.92732 × 10
33
a + 1.04728 × 10
34
, u
40
− 13u
38
+ ··· + 10u + 2i
* 2 irreducible components of dim
C
= 0, with total 183 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
= h6.44 × 10
663
u
142
− 3.79 × 10
662
u
141
+ · · · + 6.82 × 10
666
b + 1.57 ×
10
666
, 3.65 × 10
666
u
142
− 5.30 × 10
666
u
141
+ · · · + 7.03 × 10
668
a + 1.56 ×
10
669
, u
143
− u
142
+ · · · + 386u + 206i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
11
=
−0.00519601u
142
+ 0.00754286u
141
+ ··· + 4.73232u − 2.21849
−0.000944146u
142
+ 0.0000555000u
141
+ ··· − 4.11931u − 0.230210
a
4
=
0.00264122u
142
− 0.00202716u
141
+ ··· + 12.5165u − 1.10038
−0.00174240u
142
− 0.00124465u
141
+ ··· + 0.502531u − 0.481627
a
8
=
u
−u
3
+ u
a
12
=
−0.00555176u
142
+ 0.00903576u
141
+ ··· + 3.46011u − 2.53093
−0.000701503u
142
+ 0.0000127943u
141
+ ··· − 5.02587u − 0.308388
a
1
=
0.00195969u
142
− 0.00530041u
141
+ ··· − 7.01821u − 2.88220
0.000282759u
142
+ 0.00134612u
141
+ ··· + 1.62966u − 0.410901
a
10
=
−0.00614015u
142
+ 0.00759836u
141
+ ··· + 0.613008u − 2.44871
−0.000944146u
142
+ 0.0000555000u
141
+ ··· − 4.11931u − 0.230210
a
6
=
0.00621299u
142
− 0.00774462u
141
+ ··· − 7.23321u + 5.22982
0.000367164u
142
− 0.00594574u
141
+ ··· + 6.69531u + 1.01883
a
5
=
0.00434444u
142
− 0.00318853u
141
+ ··· + 10.6877u − 3.04330
0.000852588u
142
+ 0.000829582u
141
+ ··· + 1.86680u − 0.404961
a
9
=
0.00381391u
142
− 0.00485688u
141
+ ··· − 13.7966u + 4.54115
0.00582786u
142
+ 0.000899180u
141
+ ··· − 2.10823u − 0.785313
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0323696u
142
+ 0.0169279u
141
+ ··· + 14.8197u + 8.68835
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
143
− 9u
142
+ ··· − 60u + 1
c
2
, c
7
u
143
+ u
142
+ ··· + 386u − 206
c
3
u
143
+ 5u
142
+ ··· − 201714210u + 12357493
c
5
u
143
− 4u
142
+ ··· − 117392u − 5947
c
6
, c
9
u
143
− 9u
142
+ ··· − 29761u + 6317
c
8
u
143
− 3u
142
+ ··· + 165724u + 28690
c
10
u
143
+ 3u
142
+ ··· − 6317830u + 1664477
c
11
u
143
+ 5u
142
+ ··· + 452720672761u − 54947494499
c
12
u
143
+ 2u
142
+ ··· + 393169u − 36221
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
143
+ 133y
142
+ ··· − 532y −1
c
2
, c
7
y
143
− 107y
142
+ ··· − 4268y −42436
c
3
y
143
+ 61y
142
+ ··· + 345432706394200y −152707633245049
c
5
y
143
− 36y
142
+ ··· + 1571191116y −35366809
c
6
, c
9
y
143
− 147y
142
+ ··· − 2851394811y −39904489
c
8
y
143
+ 31y
142
+ ··· − 38326890024y −823116100
c
10
y
143
+ 77y
142
+ ··· − 1249728511533410y −2770483683529
c
11
y
143
− 107y
142
+ ··· − 1.85 × 10
23
y −3.02 × 10
21
c
12
y
143
+ 50y
142
+ ··· − 57389804335y −1311960841
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.063249 + 0.982291I
a = 0.063883 − 0.226508I
b = 0.508736 + 0.372416I
−1.21642 − 3.83650I 0
u = 0.063249 − 0.982291I
a = 0.063883 + 0.226508I
b = 0.508736 − 0.372416I
−1.21642 + 3.83650I 0
u = 0.955376 + 0.175175I
a = 0.20674 − 1.62306I
b = −0.514277 + 0.891938I
−0.19601 + 2.73913I 0
u = 0.955376 − 0.175175I
a = 0.20674 + 1.62306I
b = −0.514277 − 0.891938I
−0.19601 − 2.73913I 0
u = 0.726188 + 0.618520I
a = 0.112078 − 0.271226I
b = 0.774241 − 0.065819I
0.91442 + 6.37781I 0
u = 0.726188 − 0.618520I
a = 0.112078 + 0.271226I
b = 0.774241 + 0.065819I
0.91442 − 6.37781I 0
u = 0.930195 + 0.112377I
a = −3.52277 − 1.80840I
b = 0.005674 + 0.466916I
7.99535 + 0.15590I 0
u = 0.930195 − 0.112377I
a = −3.52277 + 1.80840I
b = 0.005674 − 0.466916I
7.99535 − 0.15590I 0
u = 0.381192 + 0.854280I
a = −1.068870 − 0.053312I
b = 0.51243 + 1.39432I
6.44515 − 4.49680I 0
u = 0.381192 − 0.854280I
a = −1.068870 + 0.053312I
b = 0.51243 − 1.39432I
6.44515 + 4.49680I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.072310 + 0.175968I
a = −0.39712 − 2.28045I
b = 0.55071 + 1.62247I
3.98724 − 5.90791I 0
u = −1.072310 − 0.175968I
a = −0.39712 + 2.28045I
b = 0.55071 − 1.62247I
3.98724 + 5.90791I 0
u = −1.101400 + 0.087788I
a = 0.61298 + 1.66555I
b = −0.224702 − 0.818323I
1.245020 − 0.471467I 0
u = −1.101400 − 0.087788I
a = 0.61298 − 1.66555I
b = −0.224702 + 0.818323I
1.245020 + 0.471467I 0
u = −0.367676 + 0.811167I
a = 0.783968 + 0.422049I
b = −0.383251 + 0.925400I
1.98662 + 2.18393I 0
u = −0.367676 − 0.811167I
a = 0.783968 − 0.422049I
b = −0.383251 − 0.925400I
1.98662 − 2.18393I 0
u = 0.675904 + 0.579161I
a = −0.227068 + 0.923405I
b = −0.0231895 − 0.0517523I
0.91339 − 2.14644I 0
u = 0.675904 − 0.579161I
a = −0.227068 − 0.923405I
b = −0.0231895 + 0.0517523I
0.91339 + 2.14644I 0
u = −0.438458 + 0.767054I
a = −0.144781 − 0.508785I
b = 0.718464 + 0.514134I
3.41792 − 2.89335I 0
u = −0.438458 − 0.767054I
a = −0.144781 + 0.508785I
b = 0.718464 − 0.514134I
3.41792 + 2.89335I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.112580 + 0.175274I
a = 0.22479 − 2.08448I
b = 0.026394 + 0.583340I
3.05740 − 0.82586I 0
u = −1.112580 − 0.175274I
a = 0.22479 + 2.08448I
b = 0.026394 − 0.583340I
3.05740 + 0.82586I 0
u = 0.138732 + 1.135660I
a = −0.0619898 + 0.1217210I
b = −0.521109 + 1.211600I
9.61783 + 4.35986I 0
u = 0.138732 − 1.135660I
a = −0.0619898 − 0.1217210I
b = −0.521109 − 1.211600I
9.61783 − 4.35986I 0
u = −0.519039 + 1.020730I
a = −0.094411 − 0.193102I
b = 0.287209 − 0.335176I
−0.60536 − 3.38632I 0
u = −0.519039 − 1.020730I
a = −0.094411 + 0.193102I
b = 0.287209 + 0.335176I
−0.60536 + 3.38632I 0
u = 1.142070 + 0.133955I
a = −0.89388 − 1.54878I
b = 0.748829 + 0.894632I
7.40438 + 0.58958I 0
u = 1.142070 − 0.133955I
a = −0.89388 + 1.54878I
b = 0.748829 − 0.894632I
7.40438 − 0.58958I 0
u = −0.056660 + 0.847707I
a = −0.334580 − 0.292185I
b = −0.874752 + 0.867142I
4.48567 + 8.36278I 0
u = −0.056660 − 0.847707I
a = −0.334580 + 0.292185I
b = −0.874752 − 0.867142I
4.48567 − 8.36278I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.414095 + 1.094390I
a = −0.0007776 − 0.1280520I
b = 0.494924 − 0.982397I
8.82654 + 4.52566I 0
u = 0.414095 − 1.094390I
a = −0.0007776 + 0.1280520I
b = 0.494924 + 0.982397I
8.82654 − 4.52566I 0
u = 1.092630 + 0.421283I
a = 0.74496 + 2.20624I
b = 0.43448 − 2.43810I
8.68386 + 9.22388I 0
u = 1.092630 − 0.421283I
a = 0.74496 − 2.20624I
b = 0.43448 + 2.43810I
8.68386 − 9.22388I 0
u = −1.17738
a = −0.351660
b = −1.14009
4.79177 0
u = 1.170490 + 0.227959I
a = 0.06674 − 2.50737I
b = −0.485949 + 0.684127I
7.55504 + 0.96536I 0
u = 1.170490 − 0.227959I
a = 0.06674 + 2.50737I
b = −0.485949 − 0.684127I
7.55504 − 0.96536I 0
u = −1.132050 + 0.389913I
a = 0.364665 − 1.095350I
b = 0.480110 + 0.823925I
1.69118 − 1.59714I 0
u = −1.132050 − 0.389913I
a = 0.364665 + 1.095350I
b = 0.480110 − 0.823925I
1.69118 + 1.59714I 0
u = 1.199240 + 0.023932I
a = 2.03873 + 1.26924I
b = −3.16106 − 1.40806I
11.9989 + 7.9336I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.199240 − 0.023932I
a = 2.03873 − 1.26924I
b = −3.16106 + 1.40806I
11.9989 − 7.9336I 0
u = 1.203270 + 0.121115I
a = −0.537471 − 0.335218I
b = 1.57872 + 0.08308I
7.84470 + 2.02497I 0
u = 1.203270 − 0.121115I
a = −0.537471 + 0.335218I
b = 1.57872 − 0.08308I
7.84470 − 2.02497I 0
u = −1.146450 + 0.390646I
a = −0.34421 + 1.62819I
b = −0.78616 − 1.72700I
4.47571 − 6.67031I 0
u = −1.146450 − 0.390646I
a = −0.34421 − 1.62819I
b = −0.78616 + 1.72700I
4.47571 + 6.67031I 0
u = −0.647983 + 0.435098I
a = 0.536918 − 0.265762I
b = 0.440412 + 0.208288I
1.18421 − 1.10267I 0
u = −0.647983 − 0.435098I
a = 0.536918 + 0.265762I
b = 0.440412 − 0.208288I
1.18421 + 1.10267I 0
u = −1.187710 + 0.294499I
a = 1.29734 − 0.94120I
b = −1.31125 + 1.40213I
7.89180 − 5.36913I 0
u = −1.187710 − 0.294499I
a = 1.29734 + 0.94120I
b = −1.31125 − 1.40213I
7.89180 + 5.36913I 0
u = 1.148770 + 0.427323I
a = 0.555875 + 0.547182I
b = 0.710840 − 0.929994I
9.41055 + 3.01798I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.148770 − 0.427323I
a = 0.555875 − 0.547182I
b = 0.710840 + 0.929994I
9.41055 − 3.01798I 0
u = −1.228380 + 0.131927I
a = −0.86250 − 2.18922I
b = 1.99483 + 2.16450I
12.16680 − 2.21504I 0
u = −1.228380 − 0.131927I
a = −0.86250 + 2.18922I
b = 1.99483 − 2.16450I
12.16680 + 2.21504I 0
u = −0.137014 + 1.233950I
a = 0.0818318 − 0.0258247I
b = −0.499757 − 1.159650I
10.7483 − 13.2936I 0
u = −0.137014 − 1.233950I
a = 0.0818318 + 0.0258247I
b = −0.499757 + 1.159650I
10.7483 + 13.2936I 0
u = −1.242610 + 0.004364I
a = −0.397205 + 1.315590I
b = 1.50252 − 1.28995I
7.90357 − 4.28811I 0
u = −1.242610 − 0.004364I
a = −0.397205 − 1.315590I
b = 1.50252 + 1.28995I
7.90357 + 4.28811I 0
u = 1.216810 + 0.324499I
a = −0.37307 − 1.39525I
b = 0.222789 + 1.294990I
3.60537 + 4.86672I 0
u = 1.216810 − 0.324499I
a = −0.37307 + 1.39525I
b = 0.222789 − 1.294990I
3.60537 − 4.86672I 0
u = 0.452284 + 0.584462I
a = −1.29778 + 1.31918I
b = 0.687329 − 0.145806I
5.30193 + 0.39915I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.452284 − 0.584462I
a = −1.29778 − 1.31918I
b = 0.687329 + 0.145806I
5.30193 − 0.39915I 0
u = −1.263700 + 0.102951I
a = 0.96704 + 2.04160I
b = −1.98089 − 2.27803I
12.32160 − 2.09273I 0
u = −1.263700 − 0.102951I
a = 0.96704 − 2.04160I
b = −1.98089 + 2.27803I
12.32160 + 2.09273I 0
u = −0.000099 + 1.273440I
a = −0.266459 − 0.109975I
b = 0.328375 + 1.179610I
8.54655 − 3.12776I 0
u = −0.000099 − 1.273440I
a = −0.266459 + 0.109975I
b = 0.328375 − 1.179610I
8.54655 + 3.12776I 0
u = 1.282600 + 0.014675I
a = −0.87351 − 1.44323I
b = −0.326661 + 1.089320I
12.75150 + 0.08824I 0
u = 1.282600 − 0.014675I
a = −0.87351 + 1.44323I
b = −0.326661 − 1.089320I
12.75150 − 0.08824I 0
u = 1.283650 + 0.099596I
a = −0.189102 − 1.357530I
b = −1.01000 + 1.13209I
8.66625 + 5.69477I 0
u = 1.283650 − 0.099596I
a = −0.189102 + 1.357530I
b = −1.01000 − 1.13209I
8.66625 − 5.69477I 0
u = 1.245400 + 0.340280I
a = −0.05904 − 1.66184I
b = −0.68541 + 1.43978I
2.51631 + 5.42902I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.245400 − 0.340280I
a = −0.05904 + 1.66184I
b = −0.68541 − 1.43978I
2.51631 − 5.42902I 0
u = 0.061353 + 0.690684I
a = 0.241714 − 0.226123I
b = −0.579378 − 0.614296I
−1.15731 − 1.58205I −4.52296 + 4.73648I
u = 0.061353 − 0.690684I
a = 0.241714 + 0.226123I
b = −0.579378 + 0.614296I
−1.15731 + 1.58205I −4.52296 − 4.73648I
u = −0.069149 + 1.306240I
a = 0.1154510 + 0.0323087I
b = 0.054589 + 0.997768I
4.39607 − 0.57202I 0
u = −0.069149 − 1.306240I
a = 0.1154510 − 0.0323087I
b = 0.054589 − 0.997768I
4.39607 + 0.57202I 0
u = −1.268460 + 0.396111I
a = −0.09752 + 1.90763I
b = −0.766896 − 1.066460I
8.2767 − 12.8503I 0
u = −1.268460 − 0.396111I
a = −0.09752 − 1.90763I
b = −0.766896 + 1.066460I
8.2767 + 12.8503I 0
u = −1.326360 + 0.086161I
a = 1.09028 − 1.22494I
b = 0.332132 + 0.867042I
14.0258 − 8.7652I 0
u = −1.326360 − 0.086161I
a = 1.09028 + 1.22494I
b = 0.332132 − 0.867042I
14.0258 + 8.7652I 0
u = −1.294360 + 0.311963I
a = −0.10243 − 1.85655I
b = 0.343024 + 1.204900I
8.23976 − 5.40240I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.294360 − 0.311963I
a = −0.10243 + 1.85655I
b = 0.343024 − 1.204900I
8.23976 + 5.40240I 0
u = 1.270520 + 0.429126I
a = 0.069301 + 1.391300I
b = 0.504901 − 0.869448I
2.60070 + 8.76051I 0
u = 1.270520 − 0.429126I
a = 0.069301 − 1.391300I
b = 0.504901 + 0.869448I
2.60070 − 8.76051I 0
u = 1.320710 + 0.277205I
a = 0.852707 + 0.995391I
b = −0.71128 − 1.31855I
8.97044 − 4.30199I 0
u = 1.320710 − 0.277205I
a = 0.852707 − 0.995391I
b = −0.71128 + 1.31855I
8.97044 + 4.30199I 0
u = 1.352480 + 0.098069I
a = −0.065022 + 1.033040I
b = 1.01322 − 1.04325I
8.15187 + 0.31586I 0
u = 1.352480 − 0.098069I
a = −0.065022 − 1.033040I
b = 1.01322 + 1.04325I
8.15187 − 0.31586I 0
u = 0.023588 + 0.631840I
a = −0.168768 + 0.797811I
b = 0.657643 − 0.753052I
4.13106 + 1.83870I 2.89920 − 5.10545I
u = 0.023588 − 0.631840I
a = −0.168768 − 0.797811I
b = 0.657643 + 0.753052I
4.13106 − 1.83870I 2.89920 + 5.10545I
u = 1.363080 + 0.232385I
a = −0.27368 + 1.67609I
b = 0.529403 − 1.139360I
9.03396 + 6.11589I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.363080 − 0.232385I
a = −0.27368 − 1.67609I
b = 0.529403 + 1.139360I
9.03396 − 6.11589I 0
u = 0.045812 + 0.609386I
a = −1.108370 + 0.648971I
b = −0.889511 − 0.787080I
4.28684 + 2.15509I 3.24586 − 3.64837I
u = 0.045812 − 0.609386I
a = −1.108370 − 0.648971I
b = −0.889511 + 0.787080I
4.28684 − 2.15509I 3.24586 + 3.64837I
u = −1.383550 + 0.233350I
a = 0.013966 + 0.990193I
b = −0.085147 − 0.880038I
4.19028 − 0.70544I 0
u = −1.383550 − 0.233350I
a = 0.013966 − 0.990193I
b = −0.085147 + 0.880038I
4.19028 + 0.70544I 0
u = −0.538619 + 0.253117I
a = −0.668483 + 0.818787I
b = 0.996042 − 0.928731I
2.24221 + 3.91882I 1.00424 + 8.75922I
u = −0.538619 − 0.253117I
a = −0.668483 − 0.818787I
b = 0.996042 + 0.928731I
2.24221 − 3.91882I 1.00424 − 8.75922I
u = −1.26552 + 0.63772I
a = −0.447370 + 0.477985I
b = 0.225152 − 0.544877I
5.36424 − 2.94428I 0
u = −1.26552 − 0.63772I
a = −0.447370 − 0.477985I
b = 0.225152 + 0.544877I
5.36424 + 2.94428I 0
u = −1.44031 + 0.11661I
a = −0.806252 + 1.145630I
b = −0.227588 − 0.947114I
12.99960 + 1.31290I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44031 − 0.11661I
a = −0.806252 − 1.145630I
b = −0.227588 + 0.947114I
12.99960 − 1.31290I 0
u = −0.506720 + 0.123931I
a = −0.574801 − 0.058404I
b = −1.082530 + 0.234839I
−0.721640 − 0.771950I 6.7895 + 14.0300I
u = −0.506720 − 0.123931I
a = −0.574801 + 0.058404I
b = −1.082530 − 0.234839I
−0.721640 + 0.771950I 6.7895 − 14.0300I
u = 0.402474 + 0.319283I
a = 0.537712 − 0.216737I
b = −0.917840 − 0.189594I
−1.67511 − 0.18580I −8.35328 − 2.78368I
u = 0.402474 − 0.319283I
a = 0.537712 + 0.216737I
b = −0.917840 + 0.189594I
−1.67511 + 0.18580I −8.35328 + 2.78368I
u = −1.41900 + 0.48671I
a = −0.19963 + 1.57454I
b = −1.03651 − 1.61454I
14.5541 − 10.0372I 0
u = −1.41900 − 0.48671I
a = −0.19963 − 1.57454I
b = −1.03651 + 1.61454I
14.5541 + 10.0372I 0
u = 0.326329 + 0.354089I
a = −1.38407 + 2.38463I
b = −0.523183 + 0.887480I
7.76832 + 0.61589I 6.49655 + 1.36773I
u = 0.326329 − 0.354089I
a = −1.38407 − 2.38463I
b = −0.523183 − 0.887480I
7.76832 − 0.61589I 6.49655 − 1.36773I
u = −1.46631 + 0.42183I
a = −0.00955 − 1.54567I
b = 0.97782 + 1.64590I
14.6556 − 9.7915I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46631 − 0.42183I
a = −0.00955 + 1.54567I
b = 0.97782 − 1.64590I
14.6556 + 9.7915I 0
u = 0.08385 + 1.52484I
a = −0.0154888 − 0.0442436I
b = 0.157122 − 0.871343I
3.72293 + 6.09076I 0
u = 0.08385 − 1.52484I
a = −0.0154888 + 0.0442436I
b = 0.157122 + 0.871343I
3.72293 − 6.09076I 0
u = 0.033490 + 0.462210I
a = 1.016220 + 0.653512I
b = 0.059175 − 0.524413I
0.27039 − 1.57105I 1.72390 + 2.77914I
u = 0.033490 − 0.462210I
a = 1.016220 − 0.653512I
b = 0.059175 + 0.524413I
0.27039 + 1.57105I 1.72390 − 2.77914I
u = 1.45411 + 0.52052I
a = −0.17128 − 1.53306I
b = −0.94035 + 1.62089I
15.8091 + 19.4094I 0
u = 1.45411 − 0.52052I
a = −0.17128 + 1.53306I
b = −0.94035 − 1.62089I
15.8091 − 19.4094I 0
u = 1.41627 + 0.63110I
a = 0.612007 + 0.746028I
b = 0.225349 − 1.289630I
13.52180 + 2.10936I 0
u = 1.41627 − 0.63110I
a = 0.612007 − 0.746028I
b = 0.225349 + 1.289630I
13.52180 − 2.10936I 0
u = 1.47709 + 0.50382I
a = 0.242450 + 1.148430I
b = 0.76890 − 1.24143I
9.57202 + 6.91435I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.47709 − 0.50382I
a = 0.242450 − 1.148430I
b = 0.76890 + 1.24143I
9.57202 − 6.91435I 0
u = 1.46578 + 0.56954I
a = 0.26843 + 1.44708I
b = 0.64578 − 1.58780I
13.2631 + 9.6735I 0
u = 1.46578 − 0.56954I
a = 0.26843 − 1.44708I
b = 0.64578 + 1.58780I
13.2631 − 9.6735I 0
u = −1.46778 + 0.57592I
a = −0.285520 + 1.098320I
b = −0.57764 − 1.36518I
9.01700 − 6.13391I 0
u = −1.46778 − 0.57592I
a = −0.285520 − 1.098320I
b = −0.57764 + 1.36518I
9.01700 + 6.13391I 0
u = −1.50537 + 0.56209I
a = −0.605416 + 0.816114I
b = −0.294985 − 1.039090I
13.38250 − 3.51054I 0
u = −1.50537 − 0.56209I
a = −0.605416 − 0.816114I
b = −0.294985 + 1.039090I
13.38250 + 3.51054I 0
u = −1.52358 + 0.53502I
a = 0.052891 − 1.149630I
b = 0.90478 + 1.28766I
9.2072 − 13.0692I 0
u = −1.52358 − 0.53502I
a = 0.052891 + 1.149630I
b = 0.90478 − 1.28766I
9.2072 + 13.0692I 0
u = −0.378863 + 0.061177I
a = 3.47517 + 0.31088I
b = 0.208210 − 0.137008I
2.36514 − 0.02734I 14.6346 − 8.8651I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.378863 − 0.061177I
a = 3.47517 − 0.31088I
b = 0.208210 + 0.137008I
2.36514 + 0.02734I 14.6346 + 8.8651I
u = −1.52097 + 0.66108I
a = 0.525718 − 0.650081I
b = 0.256543 + 1.083600I
14.9595 + 6.2651I 0
u = −1.52097 − 0.66108I
a = 0.525718 + 0.650081I
b = 0.256543 − 1.083600I
14.9595 − 6.2651I 0
u = 1.61114 + 0.50378I
a = −0.040164 − 0.908903I
b = −0.769459 + 1.129560I
9.27429 + 1.45996I 0
u = 1.61114 − 0.50378I
a = −0.040164 + 0.908903I
b = −0.769459 − 1.129560I
9.27429 − 1.45996I 0
u = −0.049562 + 0.260533I
a = −1.85903 − 3.88917I
b = 0.723247 − 1.123540I
8.61124 + 0.61804I 8.21630 − 0.05275I
u = −0.049562 − 0.260533I
a = −1.85903 + 3.88917I
b = 0.723247 + 1.123540I
8.61124 − 0.61804I 8.21630 + 0.05275I
u = 0.235216 + 0.084528I
a = 6.89054 + 0.71997I
b = −0.94931 − 1.06804I
9.11740 + 7.90608I 3.50443 − 2.49114I
u = 0.235216 − 0.084528I
a = 6.89054 − 0.71997I
b = −0.94931 + 1.06804I
9.11740 − 7.90608I 3.50443 + 2.49114I
u = 1.59586 + 0.83058I
a = −0.274602 − 0.487949I
b = −0.478287 + 0.852859I
11.67580 + 3.39507I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.59586 − 0.83058I
a = −0.274602 + 0.487949I
b = −0.478287 − 0.852859I
11.67580 − 3.39507I 0
u = −0.093991 + 0.153977I
a = −5.04826 − 4.48188I
b = 0.097290 − 0.960603I
4.39109 − 4.58923I 8.58393 + 3.88796I
u = −0.093991 − 0.153977I
a = −5.04826 + 4.48188I
b = 0.097290 + 0.960603I
4.39109 + 4.58923I 8.58393 − 3.88796I
19
II. I
u
2
=
h2.25×10
32
u
39
+6.60×10
31
u
38
+· · ·+9.64×10
32
b+2.18×10
33
, 1.16×10
33
u
39
−
1.37 × 10
33
u
38
+ · · · + 1.93 × 10
33
a + 1.05 × 10
34
, u
40
− 13u
38
+ · · · + 10u + 2i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
11
=
−0.602425u
39
+ 0.710664u
38
+ ··· − 10.7087u − 5.43388
−0.233952u
39
− 0.0684487u
38
+ ··· − 3.64438u − 2.26524
a
4
=
3.89958u
39
+ 1.98200u
38
+ ··· − 11.6914u + 2.69034
0.535316u
39
− 0.385469u
38
+ ··· + 6.47222u + 3.57782
a
8
=
u
−u
3
+ u
a
12
=
−0.389667u
39
+ 0.658923u
38
+ ··· − 9.77559u − 5.03479
0.0768492u
39
− 0.177774u
38
+ ··· − 2.80321u − 1.96963
a
1
=
−0.789231u
39
+ 1.42092u
38
+ ··· − 35.2177u − 10.3912
−0.728506u
39
+ 0.00513893u
38
+ ··· − 8.26562u − 4.47121
a
10
=
−0.836377u
39
+ 0.642215u
38
+ ··· − 14.3530u − 7.69911
−0.233952u
39
− 0.0684487u
38
+ ··· − 3.64438u − 2.26524
a
6
=
−1.23800u
39
− 3.10273u
38
+ ··· + 45.8136u + 12.4713
1.07125u
39
− 0.511122u
38
+ ··· + 9.54617u + 3.68656
a
5
=
0.296716u
39
− 3.40902u
38
+ ··· + 66.5703u + 19.8151
1.54769u
39
− 0.319304u
38
+ ··· + 17.7910u + 8.15344
a
9
=
−11.5749u
39
− 11.3593u
38
+ ··· + 155.304u + 23.8340
0.972865u
39
+ 0.450902u
38
+ ··· − 6.38197u − 1.33694
(ii) Obstruction class = 1
(iii) Cusp Shapes = 11.0509u
39
− 0.255749u
38
+ ··· + 53.8794u + 28.7186
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
40
− 2u
39
+ ··· − 10u + 1
c
2
u
40
− 13u
38
+ ··· + 10u + 2
c
3
u
40
− 6u
39
+ ··· − 4u + 1
c
4
u
40
+ 2u
39
+ ··· + 10u + 1
c
5
u
40
− u
39
+ ··· − 12u + 1
c
6
u
40
+ 6u
39
+ ··· + 23u + 1
c
7
u
40
− 13u
38
+ ··· − 10u + 2
c
8
u
40
− 10u
39
+ ··· + 4u + 2
c
9
u
40
− 6u
39
+ ··· − 23u + 1
c
10
u
40
+ 9u
38
+ ··· − 6u + 1
c
11
u
40
+ 6u
39
+ ··· − 529u + 169
c
12
u
40
− 3u
39
+ ··· + 5u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
40
+ 38y
39
+ ··· + 12y + 1
c
2
, c
7
y
40
− 26y
39
+ ··· − 80y + 4
c
3
y
40
+ 14y
39
+ ··· + 32y + 1
c
5
y
40
− 7y
39
+ ··· − 40y + 1
c
6
, c
9
y
40
− 46y
39
+ ··· − 73y + 1
c
8
y
40
+ 4y
39
+ ··· + 44y + 4
c
10
y
40
+ 18y
39
+ ··· + 30y + 1
c
11
y
40
− 30y
39
+ ··· − 65549y + 28561
c
12
y
40
+ 15y
39
+ ··· + 15y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.436942 + 0.894486I
a = 0.478329 − 0.120169I
b = −0.141204 − 0.986187I
2.74653 − 2.20053I 8.78838 + 4.10215I
u = 0.436942 − 0.894486I
a = 0.478329 + 0.120169I
b = −0.141204 + 0.986187I
2.74653 + 2.20053I 8.78838 − 4.10215I
u = 0.956426 + 0.080807I
a = 4.11642 + 3.38814I
b = −0.070273 − 0.328741I
8.06544 + 0.14337I 100.3401 + 38.7332I
u = 0.956426 − 0.080807I
a = 4.11642 − 3.38814I
b = −0.070273 + 0.328741I
8.06544 − 0.14337I 100.3401 − 38.7332I
u = −0.897511 + 0.239414I
a = 2.47541 − 1.62999I
b = −0.97913 + 1.58191I
9.97145 − 8.53202I 10.14817 + 7.01857I
u = −0.897511 − 0.239414I
a = 2.47541 + 1.62999I
b = −0.97913 − 1.58191I
9.97145 + 8.53202I 10.14817 − 7.01857I
u = 0.077174 + 1.087440I
a = −0.235696 − 0.115621I
b = 0.430181 − 1.151120I
7.78065 + 3.32776I 4.24987 − 3.07785I
u = 0.077174 − 1.087440I
a = −0.235696 + 0.115621I
b = 0.430181 + 1.151120I
7.78065 − 3.32776I 4.24987 + 3.07785I
u = 0.299198 + 1.098660I
a = −0.404389 + 0.503140I
b = −0.023506 + 0.580118I
3.03952 + 5.50198I 2.21258 − 3.89437I
u = 0.299198 − 1.098660I
a = −0.404389 − 0.503140I
b = −0.023506 − 0.580118I
3.03952 − 5.50198I 2.21258 + 3.89437I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.394765 + 1.078410I
a = −0.172022 + 0.078490I
b = −0.051321 + 0.349314I
−0.43199 − 3.60346I 12.9868 + 12.9347I
u = −0.394765 − 1.078410I
a = −0.172022 − 0.078490I
b = −0.051321 − 0.349314I
−0.43199 + 3.60346I 12.9868 − 12.9347I
u = −1.164870 + 0.218255I
a = −0.12282 + 1.66392I
b = −0.160926 − 0.615385I
2.88750 − 0.94185I −5.07724 + 4.02331I
u = −1.164870 − 0.218255I
a = −0.12282 − 1.66392I
b = −0.160926 + 0.615385I
2.88750 + 0.94185I −5.07724 − 4.02331I
u = 1.168980 + 0.397137I
a = −0.61830 − 1.68579I
b = −0.40472 + 1.73976I
5.18397 + 6.91325I 8.92571 − 8.98641I
u = 1.168980 − 0.397137I
a = −0.61830 + 1.68579I
b = −0.40472 − 1.73976I
5.18397 − 6.91325I 8.92571 + 8.98641I
u = −1.238080 + 0.071828I
a = 0.893283 + 0.034844I
b = −2.02888 − 0.32212I
11.55810 + 7.06028I 8.52745 − 2.23243I
u = −1.238080 − 0.071828I
a = 0.893283 − 0.034844I
b = −2.02888 + 0.32212I
11.55810 − 7.06028I 8.52745 + 2.23243I
u = 1.231470 + 0.201423I
a = −0.70654 − 1.33284I
b = −0.39765 + 1.44452I
10.96870 + 0.95024I 9.35569 − 0.56882I
u = 1.231470 − 0.201423I
a = −0.70654 + 1.33284I
b = −0.39765 − 1.44452I
10.96870 − 0.95024I 9.35569 + 0.56882I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.239750 + 0.251765I
a = −0.05676 + 1.71479I
b = 0.18854 − 1.63299I
5.24930 + 6.20734I 8.09419 − 7.42850I
u = 1.239750 − 0.251765I
a = −0.05676 − 1.71479I
b = 0.18854 + 1.63299I
5.24930 − 6.20734I 8.09419 + 7.42850I
u = −1.180250 + 0.554078I
a = −0.554259 + 0.506397I
b = 0.442110 − 0.499364I
5.13049 − 2.89491I −5.53666 + 1.97856I
u = −1.180250 − 0.554078I
a = −0.554259 − 0.506397I
b = 0.442110 + 0.499364I
5.13049 + 2.89491I −5.53666 − 1.97856I
u = 1.300110 + 0.318215I
a = −0.039213 + 0.399510I
b = 1.138870 − 0.629573I
10.38060 + 2.52342I 11.52799 + 0.I
u = 1.300110 − 0.318215I
a = −0.039213 − 0.399510I
b = 1.138870 + 0.629573I
10.38060 − 2.52342I 11.52799 + 0.I
u = −1.345680 + 0.061831I
a = −0.43894 − 1.47572I
b = 1.22499 + 1.44220I
9.74987 − 0.12508I 11.93819 + 0.I
u = −1.345680 − 0.061831I
a = −0.43894 + 1.47572I
b = 1.22499 − 1.44220I
9.74987 + 0.12508I 11.93819 + 0.I
u = −0.417083 + 0.431909I
a = −1.56921 − 1.02361I
b = −0.299335 − 0.112068I
2.24753 − 0.29424I 3.97234 + 10.56553I
u = −0.417083 − 0.431909I
a = −1.56921 + 1.02361I
b = −0.299335 + 0.112068I
2.24753 + 0.29424I 3.97234 − 10.56553I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.513604 + 0.186261I
a = −0.46856 − 1.52836I
b = 0.898028 + 0.924141I
2.29482 − 4.23782I 5.1246 + 15.2311I
u = 0.513604 − 0.186261I
a = −0.46856 + 1.52836I
b = 0.898028 − 0.924141I
2.29482 + 4.23782I 5.1246 − 15.2311I
u = −0.235194 + 0.415423I
a = −1.35938 − 2.37291I
b = 0.812536 + 0.456322I
5.24085 − 1.12599I 6.61664 + 5.94146I
u = −0.235194 − 0.415423I
a = −1.35938 + 2.37291I
b = 0.812536 − 0.456322I
5.24085 + 1.12599I 6.61664 − 5.94146I
u = −1.44151 + 0.49926I
a = 0.19217 − 1.51053I
b = 0.78813 + 1.59834I
12.6350 − 9.1299I 0
u = −1.44151 − 0.49926I
a = 0.19217 + 1.51053I
b = 0.78813 − 1.59834I
12.6350 + 9.1299I 0
u = −0.407720 + 0.076237I
a = −0.515749 − 0.871337I
b = −0.937899 − 0.093218I
−0.832582 + 0.409282I −0.25908 + 5.25584I
u = −0.407720 − 0.076237I
a = −0.515749 + 0.871337I
b = −0.937899 + 0.093218I
−0.832582 − 0.409282I −0.25908 − 5.25584I
u = 1.49902 + 0.74751I
a = −0.393777 − 0.579515I
b = −0.428541 + 0.955116I
11.14930 + 3.28767I 0
u = 1.49902 − 0.74751I
a = −0.393777 + 0.579515I
b = −0.428541 − 0.955116I
11.14930 − 3.28767I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 2u
39
+ ··· − 10u + 1)(u
143
− 9u
142
+ ··· − 60u + 1)
c
2
(u
40
− 13u
38
+ ··· + 10u + 2)(u
143
+ u
142
+ ··· + 386u − 206)
c
3
(u
40
− 6u
39
+ ··· − 4u + 1)
· (u
143
+ 5u
142
+ ··· − 201714210u + 12357493)
c
4
(u
40
+ 2u
39
+ ··· + 10u + 1)(u
143
− 9u
142
+ ··· − 60u + 1)
c
5
(u
40
− u
39
+ ··· − 12u + 1)(u
143
− 4u
142
+ ··· − 117392u − 5947)
c
6
(u
40
+ 6u
39
+ ··· + 23u + 1)(u
143
− 9u
142
+ ··· − 29761u + 6317)
c
7
(u
40
− 13u
38
+ ··· − 10u + 2)(u
143
+ u
142
+ ··· + 386u − 206)
c
8
(u
40
− 10u
39
+ ··· + 4u + 2)(u
143
− 3u
142
+ ··· + 165724u + 28690)
c
9
(u
40
− 6u
39
+ ··· − 23u + 1)(u
143
− 9u
142
+ ··· − 29761u + 6317)
c
10
(u
40
+ 9u
38
+ ··· − 6u + 1)(u
143
+ 3u
142
+ ··· − 6317830u + 1664477)
c
11
(u
40
+ 6u
39
+ ··· − 529u + 169)
· (u
143
+ 5u
142
+ ··· + 452720672761u − 54947494499)
c
12
(u
40
− 3u
39
+ ··· + 5u + 1)(u
143
+ 2u
142
+ ··· + 393169u − 36221)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
40
+ 38y
39
+ ··· + 12y + 1)(y
143
+ 133y
142
+ ··· − 532y −1)
c
2
, c
7
(y
40
− 26y
39
+ ··· − 80y + 4)(y
143
− 107y
142
+ ··· − 4268y −42436)
c
3
(y
40
+ 14y
39
+ ··· + 32y + 1)
· (y
143
+ 61y
142
+ ··· + 345432706394200y −152707633245049)
c
5
(y
40
− 7y
39
+ ··· − 40y + 1)
· (y
143
− 36y
142
+ ··· + 1571191116y −35366809)
c
6
, c
9
(y
40
− 46y
39
+ ··· − 73y + 1)
· (y
143
− 147y
142
+ ··· − 2851394811y −39904489)
c
8
(y
40
+ 4y
39
+ ··· + 44y + 4)
· (y
143
+ 31y
142
+ ··· − 38326890024y −823116100)
c
10
(y
40
+ 18y
39
+ ··· + 30y + 1)
· (y
143
+ 77y
142
+ ··· − 1249728511533410y −2770483683529)
c
11
(y
40
− 30y
39
+ ··· − 65549y + 28561)
· (y
143
− 107y
142
+ ··· − 1.85 × 10
23
y −3.02 × 10
21
)
c
12
(y
40
+ 15y
39
+ ··· + 15y + 1)
· (y
143
+ 50y
142
+ ··· − 57389804335y −1311960841)
30
