12a
0602
(K12a
0602
)
A knot diagram
1
Linearized knot diagam
3 7 9 12 8 2 10 11 1 6 4 5
Solving Sequence
4,11
12 5
1,9
3 2 8 6 10 7
c
11
c
4
c
12
c
3
c
1
c
8
c
5
c
10
c
7
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h4.66581 × 10
374
u
143
− 1.28668 × 10
375
u
142
+ ··· + 1.64873 × 10
373
b − 4.11352 × 10
374
,
− 7.48886 × 10
372
u
143
+ 1.93957 × 10
373
u
142
+ ··· + 1.49885 × 10
372
a + 3.95483 × 10
372
,
u
144
− 4u
143
+ ··· + 15u + 1i
I
u
2
= h−20959u
29
− 11090u
28
+ ··· + 149b + 20698, −3u
29
+ u
28
+ ··· + a + 11, u
30
− u
29
+ ··· − 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 174 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
= h4.67 × 10
374
u
143
− 1.29 × 10
375
u
142
+ · · · + 1.65 × 10
373
b − 4.11 ×
10
374
, −7.49 × 10
372
u
143
+ 1.94 × 10
373
u
142
+ · · · + 1.50 × 10
372
a + 3.95 ×
10
372
, u
144
− 4u
143
+ · · · + 15u + 1i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
5
=
u
−u
3
+ u
a
1
=
−u
2
+ 1
u
4
− 2u
2
a
9
=
4.99642u
143
− 12.9404u
142
+ ··· − 214.068u − 2.63858
−28.2994u
143
+ 78.0404u
142
+ ··· + 375.005u + 24.9496
a
3
=
19.6393u
143
− 58.9874u
142
+ ··· + 30.6121u + 2.17158
−34.0052u
143
+ 94.0370u
142
+ ··· + 484.569u + 29.7387
a
2
=
18.4548u
143
− 50.7937u
142
+ ··· − 206.122u − 23.9926
20.1291u
143
− 56.0029u
142
+ ··· − 273.396u − 18.6684
a
8
=
33.2958u
143
− 90.9809u
142
+ ··· − 589.073u − 27.5882
−28.2994u
143
+ 78.0404u
142
+ ··· + 375.005u + 24.9496
a
6
=
20.9047u
143
− 60.8386u
142
+ ··· − 85.9031u − 3.42492
−7.44544u
143
+ 21.2506u
142
+ ··· + 128.326u + 7.67264
a
10
=
14.8061u
143
− 39.8561u
142
+ ··· − 366.170u − 13.3050
−12.0229u
143
+ 32.9768u
142
+ ··· + 161.382u + 11.4844
a
7
=
−16.2278u
143
+ 46.8176u
142
+ ··· + 183.885u + 25.5784
−15.2646u
143
+ 42.8316u
142
+ ··· + 229.429u + 16.3077
(ii) Obstruction class = −1
(iii) Cusp Shapes = −34.9261u
143
+ 102.204u
142
+ ··· + 484.487u + 41.1578
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
144
+ 58u
143
+ ··· + 11398u + 361
c
2
, c
6
u
144
− 2u
143
+ ··· + 32u + 19
c
3
u
144
− 2u
143
+ ··· − 340955512u + 126824923
c
4
, c
11
, c
12
u
144
− 4u
143
+ ··· + 15u + 1
c
5
u
144
+ 15u
143
+ ··· + 45u − 1
c
7
u
144
+ 2u
143
+ ··· − 74u + 7
c
8
u
144
− 14u
143
+ ··· − 235130u + 65317
c
9
u
144
− u
143
+ ··· − 2778440u + 233557
c
10
u
144
+ 5u
143
+ ··· − 140899u + 14783
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
144
+ 70y
143
+ ··· + 11864014y + 130321
c
2
, c
6
y
144
− 58y
143
+ ··· − 11398y + 361
c
3
y
144
+ 50y
143
+ ··· + 928165311949487672y + 16084561093955929
c
4
, c
11
, c
12
y
144
− 142y
143
+ ··· + 159y + 1
c
5
y
144
+ 5y
143
+ ··· − 3139y + 1
c
7
y
144
+ 12y
143
+ ··· + 1734y + 49
c
8
y
144
− 44y
143
+ ··· + 923597554320y + 4266310489
c
9
y
144
+ 29y
143
+ ··· + 159556190882y + 54548872249
c
10
y
144
+ 25y
143
+ ··· + 5445649265y + 218537089
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.641440 + 0.771294I
a = 0.243379 − 0.887983I
b = 0.406077 − 0.706504I
−1.32437 − 6.15069I 0
u = −0.641440 − 0.771294I
a = 0.243379 + 0.887983I
b = 0.406077 + 0.706504I
−1.32437 + 6.15069I 0
u = 0.436258 + 0.919189I
a = −0.572363 − 0.544707I
b = −1.079820 − 0.266336I
2.33630 + 3.72932I 0
u = 0.436258 − 0.919189I
a = −0.572363 + 0.544707I
b = −1.079820 + 0.266336I
2.33630 − 3.72932I 0
u = 0.708847 + 0.732712I
a = −0.955680 − 0.457394I
b = −0.973986 + 0.386429I
4.03243 − 3.94384I 0
u = 0.708847 − 0.732712I
a = −0.955680 + 0.457394I
b = −0.973986 − 0.386429I
4.03243 + 3.94384I 0
u = −0.704071 + 0.749730I
a = −1.075930 + 0.332157I
b = −0.991888 − 0.473815I
2.28410 + 9.91942I 0
u = −0.704071 − 0.749730I
a = −1.075930 − 0.332157I
b = −0.991888 + 0.473815I
2.28410 − 9.91942I 0
u = 0.940999 + 0.434490I
a = 0.359772 + 0.263997I
b = −0.053654 − 0.152778I
1.59960 + 1.70116I 0
u = 0.940999 − 0.434490I
a = 0.359772 − 0.263997I
b = −0.053654 + 0.152778I
1.59960 − 1.70116I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.464501 + 0.837838I
a = −0.407758 + 1.133410I
b = −0.976569 + 0.678738I
−3.88117 − 7.32238I 0
u = −0.464501 − 0.837838I
a = −0.407758 − 1.133410I
b = −0.976569 − 0.678738I
−3.88117 + 7.32238I 0
u = −0.463367 + 0.837097I
a = −0.77191 + 1.38289I
b = −1.24742 + 0.82437I
1.5784 − 15.2624I 0
u = −0.463367 − 0.837097I
a = −0.77191 − 1.38289I
b = −1.24742 − 0.82437I
1.5784 + 15.2624I 0
u = 0.459927 + 0.835725I
a = −0.78045 − 1.24759I
b = −1.24228 − 0.73144I
3.29096 + 9.25039I 0
u = 0.459927 − 0.835725I
a = −0.78045 + 1.24759I
b = −1.24228 + 0.73144I
3.29096 − 9.25039I 0
u = −0.371568 + 0.988700I
a = 0.544420 − 0.388172I
b = 0.451860 − 0.236766I
−2.71360 + 0.49612I 0
u = −0.371568 − 0.988700I
a = 0.544420 + 0.388172I
b = 0.451860 + 0.236766I
−2.71360 − 0.49612I 0
u = −0.752384 + 0.751617I
a = −0.525272 + 0.180553I
b = −0.699403 − 0.333217I
−3.10082 + 1.92208I 0
u = −0.752384 − 0.751617I
a = −0.525272 − 0.180553I
b = −0.699403 + 0.333217I
−3.10082 − 1.92208I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.724474 + 0.503590I
a = −0.123746 − 1.223240I
b = −0.864459 + 0.063741I
3.89536 + 1.41739I 0
u = 0.724474 − 0.503590I
a = −0.123746 + 1.223240I
b = −0.864459 − 0.063741I
3.89536 − 1.41739I 0
u = 0.616552 + 0.598068I
a = 0.435778 + 1.109760I
b = 0.730539 + 0.818723I
0.10188 + 2.22655I 0
u = 0.616552 − 0.598068I
a = 0.435778 − 1.109760I
b = 0.730539 − 0.818723I
0.10188 − 2.22655I 0
u = −1.148590 + 0.085619I
a = 0.862771 − 0.704486I
b = 0.401690 − 0.881219I
2.40569 − 1.29967I 0
u = −1.148590 − 0.085619I
a = 0.862771 + 0.704486I
b = 0.401690 + 0.881219I
2.40569 + 1.29967I 0
u = 0.753275 + 0.380915I
a = 0.686476 + 0.925921I
b = 0.903434 + 0.867411I
1.80300 + 6.03304I 0
u = 0.753275 − 0.380915I
a = 0.686476 − 0.925921I
b = 0.903434 − 0.867411I
1.80300 − 6.03304I 0
u = 0.460385 + 0.689496I
a = 0.678854 + 0.951544I
b = 0.745760 + 0.518700I
0.46793 + 2.15742I 0
u = 0.460385 − 0.689496I
a = 0.678854 − 0.951544I
b = 0.745760 − 0.518700I
0.46793 − 2.15742I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.177910 + 0.025403I
a = 0.790502 − 1.020010I
b = 0.365064 − 1.132200I
1.72067 − 5.51367I 0
u = 1.177910 − 0.025403I
a = 0.790502 + 1.020010I
b = 0.365064 + 1.132200I
1.72067 + 5.51367I 0
u = −0.183903 + 0.780009I
a = −0.824077 − 0.031941I
b = −1.206750 − 0.054712I
0.70996 + 3.48348I 0
u = −0.183903 − 0.780009I
a = −0.824077 + 0.031941I
b = −1.206750 + 0.054712I
0.70996 − 3.48348I 0
u = 1.211750 + 0.000729I
a = 0.771860 + 0.326502I
b = −0.841770 − 0.766189I
3.67045 − 0.65197I 0
u = 1.211750 − 0.000729I
a = 0.771860 − 0.326502I
b = −0.841770 + 0.766189I
3.67045 + 0.65197I 0
u = −0.420892 + 0.635724I
a = 0.622376 + 0.623430I
b = −0.210982 + 0.432938I
−2.01335 + 1.40917I 0
u = −0.420892 − 0.635724I
a = 0.622376 − 0.623430I
b = −0.210982 − 0.432938I
−2.01335 − 1.40917I 0
u = −1.033270 + 0.685139I
a = 0.129460 − 0.303563I
b = 0.0254407 − 0.1005390I
−0.88369 − 6.44136I 0
u = −1.033270 − 0.685139I
a = 0.129460 + 0.303563I
b = 0.0254407 + 0.1005390I
−0.88369 + 6.44136I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.594458 + 0.471215I
a = −0.10005 + 1.82899I
b = −0.850397 + 0.092402I
2.24619 − 7.45474I 0
u = −0.594458 − 0.471215I
a = −0.10005 − 1.82899I
b = −0.850397 − 0.092402I
2.24619 + 7.45474I 0
u = −0.712997 + 0.244476I
a = 0.695977 − 0.637100I
b = 0.908432 − 0.844981I
2.18454 − 1.39541I 0
u = −0.712997 − 0.244476I
a = 0.695977 + 0.637100I
b = 0.908432 + 0.844981I
2.18454 + 1.39541I 0
u = 0.026738 + 0.749032I
a = 1.73714 − 0.12287I
b = 0.537774 − 0.089173I
−0.77627 − 2.15652I 0
u = 0.026738 − 0.749032I
a = 1.73714 + 0.12287I
b = 0.537774 + 0.089173I
−0.77627 + 2.15652I 0
u = −1.251690 + 0.018135I
a = 0.947540 − 0.308619I
b = −1.28552 + 0.93185I
2.56527 + 6.04434I 0
u = −1.251690 − 0.018135I
a = 0.947540 + 0.308619I
b = −1.28552 − 0.93185I
2.56527 − 6.04434I 0
u = −1.27165
a = 0.974017
b = −1.53369
−1.61073 0
u = −1.277810 + 0.176299I
a = 0.860025 − 0.120417I
b = −0.060909 − 0.274790I
2.95543 − 4.81131I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.277810 − 0.176299I
a = 0.860025 + 0.120417I
b = −0.060909 + 0.274790I
2.95543 + 4.81131I 0
u = 0.383418 + 0.595687I
a = 1.01919 + 1.97315I
b = 1.26345 + 0.79706I
2.99110 + 1.22715I 0
u = 0.383418 − 0.595687I
a = 1.01919 − 1.97315I
b = 1.26345 − 0.79706I
2.99110 − 1.22715I 0
u = −0.358887 + 0.592436I
a = 0.79562 − 2.24481I
b = 1.21593 − 0.95696I
2.65144 − 6.14201I 0
u = −0.358887 − 0.592436I
a = 0.79562 + 2.24481I
b = 1.21593 + 0.95696I
2.65144 + 6.14201I 0
u = 1.317590 + 0.046842I
a = 0.239324 − 1.329470I
b = 0.274809 − 1.056690I
0.356643 + 0.438281I 0
u = 1.317590 − 0.046842I
a = 0.239324 + 1.329470I
b = 0.274809 + 1.056690I
0.356643 − 0.438281I 0
u = 1.316210 + 0.092721I
a = 0.703686 − 0.065750I
b = −0.577824 + 0.200718I
3.44128 + 0.54013I 0
u = 1.316210 − 0.092721I
a = 0.703686 + 0.065750I
b = −0.577824 − 0.200718I
3.44128 − 0.54013I 0
u = 0.158197 + 0.659478I
a = 1.284820 − 0.499093I
b = 0.214700 − 0.361745I
−1.36302 + 1.81030I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.158197 − 0.659478I
a = 1.284820 + 0.499093I
b = 0.214700 + 0.361745I
−1.36302 − 1.81030I 0
u = −1.324880 + 0.039870I
a = 0.092450 − 0.828047I
b = 0.263353 − 1.356990I
3.13305 − 2.51061I 0
u = −1.324880 − 0.039870I
a = 0.092450 + 0.828047I
b = 0.263353 + 1.356990I
3.13305 + 2.51061I 0
u = 1.346830 + 0.132641I
a = −0.097924 + 0.283615I
b = −0.64680 + 1.59529I
0.00235 + 3.62550I 0
u = 1.346830 − 0.132641I
a = −0.097924 − 0.283615I
b = −0.64680 − 1.59529I
0.00235 − 3.62550I 0
u = −1.366230 + 0.122055I
a = −1.65725 − 0.20424I
b = 0.642919 − 0.627803I
3.40258 − 9.43112I 0
u = −1.366230 − 0.122055I
a = −1.65725 + 0.20424I
b = 0.642919 + 0.627803I
3.40258 + 9.43112I 0
u = −1.380940 + 0.066830I
a = −1.55526 + 0.69714I
b = 0.635219 − 0.068320I
0.92344 − 1.84671I 0
u = −1.380940 − 0.066830I
a = −1.55526 − 0.69714I
b = 0.635219 + 0.068320I
0.92344 + 1.84671I 0
u = −1.380640 + 0.086866I
a = −0.278846 − 0.622492I
b = 0.01193 − 2.25313I
5.07760 − 3.63086I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.380640 − 0.086866I
a = −0.278846 + 0.622492I
b = 0.01193 + 2.25313I
5.07760 + 3.63086I 0
u = 1.387440 + 0.099796I
a = −0.353573 + 0.543311I
b = −0.28559 + 2.42402I
4.10363 + 8.97467I 0
u = 1.387440 − 0.099796I
a = −0.353573 − 0.543311I
b = −0.28559 − 2.42402I
4.10363 − 8.97467I 0
u = 0.349062 + 0.494454I
a = 1.79417 + 0.83597I
b = 1.205760 − 0.102822I
3.16414 + 2.27061I 4.01809 − 4.02071I
u = 0.349062 − 0.494454I
a = 1.79417 − 0.83597I
b = 1.205760 + 0.102822I
3.16414 − 2.27061I 4.01809 + 4.02071I
u = 1.401340 + 0.109685I
a = −1.232000 + 0.031838I
b = 0.943807 + 0.474541I
5.46591 + 4.63535I 0
u = 1.401340 − 0.109685I
a = −1.232000 − 0.031838I
b = 0.943807 − 0.474541I
5.46591 − 4.63535I 0
u = 1.391600 + 0.244412I
a = 0.183397 + 1.015130I
b = 1.53413 − 0.10609I
8.18467 − 0.17211I 0
u = 1.391600 − 0.244412I
a = 0.183397 − 1.015130I
b = 1.53413 + 0.10609I
8.18467 + 0.17211I 0
u = −1.42228 + 0.00767I
a = −0.320798 + 0.819505I
b = 1.43995 + 0.85577I
7.99617 + 2.84496I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42228 − 0.00767I
a = −0.320798 − 0.819505I
b = 1.43995 − 0.85577I
7.99617 − 2.84496I 0
u = 1.43384 + 0.02775I
a = −0.405993 − 0.669689I
b = 1.49554 − 0.47830I
8.32395 + 2.78861I 0
u = 1.43384 − 0.02775I
a = −0.405993 + 0.669689I
b = 1.49554 + 0.47830I
8.32395 − 2.78861I 0
u = −1.41977 + 0.24211I
a = 0.073239 − 1.074640I
b = 1.65755 − 0.20478I
8.66957 − 5.16976I 0
u = −1.41977 − 0.24211I
a = 0.073239 + 1.074640I
b = 1.65755 + 0.20478I
8.66957 + 5.16976I 0
u = 1.43812 + 0.17407I
a = −0.838696 + 0.740090I
b = 1.28583 + 0.95507I
5.94443 + 5.16851I 0
u = 1.43812 − 0.17407I
a = −0.838696 − 0.740090I
b = 1.28583 − 0.95507I
5.94443 − 5.16851I 0
u = 1.44168 + 0.21965I
a = −0.66086 + 1.29649I
b = 1.57551 + 1.23441I
8.45181 + 9.12090I 0
u = 1.44168 − 0.21965I
a = −0.66086 − 1.29649I
b = 1.57551 − 1.23441I
8.45181 − 9.12090I 0
u = −1.44933 + 0.22158I
a = −0.487413 − 1.286080I
b = 1.68724 − 1.11854I
8.89547 − 4.23059I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44933 − 0.22158I
a = −0.487413 + 1.286080I
b = 1.68724 + 1.11854I
8.89547 + 4.23059I 0
u = −0.533510
a = 2.33177
b = −0.436133
−2.85776 6.75220
u = −0.325488 + 0.391392I
a = 1.98386 − 0.72191I
b = 1.158970 + 0.349891I
3.01433 + 2.87174I 3.55427 − 2.46583I
u = −0.325488 − 0.391392I
a = 1.98386 + 0.72191I
b = 1.158970 − 0.349891I
3.01433 − 2.87174I 3.55427 + 2.46583I
u = −0.289257 + 0.416032I
a = −0.75694 − 1.77359I
b = 0.761542 − 0.902459I
0.26656 − 2.87950I −6.70559 + 5.60000I
u = −0.289257 − 0.416032I
a = −0.75694 + 1.77359I
b = 0.761542 + 0.902459I
0.26656 + 2.87950I −6.70559 − 5.60000I
u = −1.49464 + 0.23285I
a = −0.246812 − 0.881273I
b = 1.37737 − 0.89989I
6.87883 − 5.51549I 0
u = −1.49464 − 0.23285I
a = −0.246812 + 0.881273I
b = 1.37737 + 0.89989I
6.87883 + 5.51549I 0
u = 1.47664 + 0.34374I
a = −0.068664 + 0.763053I
b = 0.862487 + 0.538216I
3.19164 + 4.21071I 0
u = 1.47664 − 0.34374I
a = −0.068664 − 0.763053I
b = 0.862487 − 0.538216I
3.19164 − 4.21071I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.128408 + 0.465642I
a = −0.20469 − 1.52269I
b = −0.810179 − 0.909025I
−4.63023 − 1.49733I −13.3947 + 4.9805I
u = −0.128408 − 0.465642I
a = −0.20469 + 1.52269I
b = −0.810179 + 0.909025I
−4.63023 + 1.49733I −13.3947 − 4.9805I
u = 1.50790 + 0.16860I
a = 0.410811 − 1.257570I
b = −0.827171 − 0.556892I
9.06057 + 9.85279I 0
u = 1.50790 − 0.16860I
a = 0.410811 + 1.257570I
b = −0.827171 + 0.556892I
9.06057 − 9.85279I 0
u = 0.109365 + 0.457330I
a = −1.50065 + 3.18021I
b = 0.397005 + 1.040360I
−1.29083 + 7.43577I −8.63012 − 9.65322I
u = 0.109365 − 0.457330I
a = −1.50065 − 3.18021I
b = 0.397005 − 1.040360I
−1.29083 − 7.43577I −8.63012 + 9.65322I
u = 1.52545 + 0.12979I
a = −0.166772 + 0.433217I
b = 1.77897 + 0.91016I
9.38535 + 3.05395I 0
u = 1.52545 − 0.12979I
a = −0.166772 − 0.433217I
b = 1.77897 − 0.91016I
9.38535 − 3.05395I 0
u = −1.52833 + 0.16659I
a = 0.350778 + 1.088610I
b = −0.884289 + 0.462831I
11.13110 − 3.86984I 0
u = −1.52833 − 0.16659I
a = 0.350778 − 1.088610I
b = −0.884289 − 0.462831I
11.13110 + 3.86984I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.231250 + 0.397713I
a = −1.24199 − 1.97974I
b = 0.665345 − 0.896355I
0.25198 − 2.88385I −5.51656 + 5.49434I
u = −0.231250 − 0.397713I
a = −1.24199 + 1.97974I
b = 0.665345 + 0.896355I
0.25198 + 2.88385I −5.51656 − 5.49434I
u = 1.51223 + 0.30225I
a = 0.466834 − 0.929279I
b = −1.30353 − 0.78911I
2.51792 + 11.46210I 0
u = 1.51223 − 0.30225I
a = 0.466834 + 0.929279I
b = −1.30353 + 0.78911I
2.51792 − 11.46210I 0
u = −1.51304 + 0.30521I
a = 0.344809 + 1.061220I
b = −1.56695 + 0.87945I
9.6789 − 13.4051I 0
u = −1.51304 − 0.30521I
a = 0.344809 − 1.061220I
b = −1.56695 − 0.87945I
9.6789 + 13.4051I 0
u = 1.51351 + 0.30628I
a = 0.379247 − 1.117870I
b = −1.55929 − 0.98372I
7.9755 + 19.4268I 0
u = 1.51351 − 0.30628I
a = 0.379247 + 1.117870I
b = −1.55929 + 0.98372I
7.9755 − 19.4268I 0
u = −0.023845 + 0.452101I
a = 1.156290 + 0.759567I
b = 0.036750 + 0.559764I
−0.635616 + 1.087530I −3.94776 − 5.35435I
u = −0.023845 − 0.452101I
a = 1.156290 − 0.759567I
b = 0.036750 − 0.559764I
−0.635616 − 1.087530I −3.94776 + 5.35435I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.54041 + 0.14921I
a = −0.130031 − 0.567698I
b = 1.72265 − 1.06462I
9.22190 − 8.09553I 0
u = −1.54041 − 0.14921I
a = −0.130031 + 0.567698I
b = 1.72265 + 1.06462I
9.22190 + 8.09553I 0
u = −1.51948 + 0.31449I
a = 0.298065 + 0.765752I
b = −1.39453 + 0.44248I
8.71922 − 8.13066I 0
u = −1.51948 − 0.31449I
a = 0.298065 − 0.765752I
b = −1.39453 − 0.44248I
8.71922 + 8.13066I 0
u = 1.54884 + 0.14411I
a = 0.468054 − 0.626055I
b = −0.832687 − 0.264002I
4.83591 + 0.87026I 0
u = 1.54884 − 0.14411I
a = 0.468054 + 0.626055I
b = −0.832687 + 0.264002I
4.83591 − 0.87026I 0
u = −1.53578 + 0.25373I
a = −0.193599 − 0.827712I
b = 1.17843 − 1.03007I
7.05732 − 5.53568I 0
u = −1.53578 − 0.25373I
a = −0.193599 + 0.827712I
b = 1.17843 + 1.03007I
7.05732 + 5.53568I 0
u = −1.57780 + 0.16380I
a = 0.052763 + 0.740268I
b = −1.020950 + 0.252354I
11.81140 + 0.81060I 0
u = −1.57780 − 0.16380I
a = 0.052763 − 0.740268I
b = −1.020950 − 0.252354I
11.81140 − 0.81060I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56012 + 0.29113I
a = −0.200976 + 0.805479I
b = 0.917171 + 1.054230I
5.81920 + 10.18580I 0
u = 1.56012 − 0.29113I
a = −0.200976 − 0.805479I
b = 0.917171 − 1.054230I
5.81920 − 10.18580I 0
u = 1.59501 + 0.15988I
a = −0.032210 − 0.648807I
b = −1.042720 − 0.186279I
10.16760 − 6.65989I 0
u = 1.59501 − 0.15988I
a = −0.032210 + 0.648807I
b = −1.042720 + 0.186279I
10.16760 + 6.65989I 0
u = 1.56990 + 0.39862I
a = 0.245656 − 0.490032I
b = −1.184710 − 0.105747I
5.93236 + 1.49216I 0
u = 1.56990 − 0.39862I
a = 0.245656 + 0.490032I
b = −1.184710 + 0.105747I
5.93236 − 1.49216I 0
u = −0.112253 + 0.360658I
a = 0.44017 − 2.82581I
b = −0.51459 − 1.61779I
−0.77237 − 7.39066I −10.9087 + 10.0706I
u = −0.112253 − 0.360658I
a = 0.44017 + 2.82581I
b = −0.51459 + 1.61779I
−0.77237 + 7.39066I −10.9087 − 10.0706I
u = 0.073808 + 0.368283I
a = 0.99790 + 2.40982I
b = −0.21298 + 1.43466I
0.36557 + 2.14878I −7.49982 − 3.52573I
u = 0.073808 − 0.368283I
a = 0.99790 − 2.40982I
b = −0.21298 − 1.43466I
0.36557 − 2.14878I −7.49982 + 3.52573I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.021455 + 0.280287I
a = −4.13861 + 3.95494I
b = 0.274660 + 0.553015I
−3.71476 + 0.73551I −15.9361 − 9.3145I
u = 0.021455 − 0.280287I
a = −4.13861 − 3.95494I
b = 0.274660 − 0.553015I
−3.71476 − 0.73551I −15.9361 + 9.3145I
u = −0.0502015 + 0.0929244I
a = 8.60742 − 4.06389I
b = 1.280440 + 0.207870I
2.95961 + 2.70177I 5.84628 − 2.47923I
u = −0.0502015 − 0.0929244I
a = 8.60742 + 4.06389I
b = 1.280440 − 0.207870I
2.95961 − 2.70177I 5.84628 + 2.47923I
19
II. I
u
2
= h−20959u
29
− 11090u
28
+ · · · + 149b + 20698, −3u
29
+ u
28
+ · · · +
a + 11, u
30
− u
29
+ · · · − 4u + 1i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
5
=
u
−u
3
+ u
a
1
=
−u
2
+ 1
u
4
− 2u
2
a
9
=
3u
29
− u
28
+ ··· + 10u − 11
140.664u
29
+ 74.4295u
28
+ ··· + 459.054u − 138.913
a
3
=
4u
29
+ 7u
28
+ ··· + 6u + 10
225.584u
29
+ 25.8926u
28
+ ··· + 457.987u − 147.772
a
2
=
−187.732u
29
− 68.5436u
28
+ ··· − 534.443u + 169.530
81.0067u
29
− 3.28859u
28
+ ··· + 129.839u − 49.2617
a
8
=
−137.664u
29
− 75.4295u
28
+ ··· − 449.054u + 127.913
140.664u
29
+ 74.4295u
28
+ ··· + 459.054u − 138.913
a
6
=
−7.73826u
29
− 9.25503u
28
+ ··· − 9.28188u + 9.79195
−81.4430u
29
+ 1.04698u
28
+ ··· − 156.369u + 55.2752
a
10
=
−57.2685u
29
− 28.4564u
28
+ ··· − 178.557u + 47.4698
90.5638u
29
+ 44.7584u
28
+ ··· + 300.470u − 92.9866
a
7
=
190.893u
29
+ 80.6174u
28
+ ··· + 517.577u − 156.812
6.97987u
29
+ 26.8658u
28
+ ··· + 81.4832u − 24.2148
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
125590
149
u
29
−
43196
149
u
28
+ ··· −
358604
149
u +
112726
149
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 15u
29
+ ··· − 11u + 1
c
2
u
30
+ u
29
+ ··· + 3u + 1
c
3
u
30
+ u
29
+ ··· + u + 1
c
4
u
30
+ u
29
+ ··· + 4u + 1
c
5
u
30
− 4u
29
+ ··· − 4u + 1
c
6
u
30
− u
29
+ ··· − 3u + 1
c
7
u
30
− 15u
29
+ ··· − 3u + 1
c
8
u
30
+ 15u
29
+ ··· + 17u + 1
c
9
u
30
+ 4u
29
+ ··· + 3u + 1
c
10
u
30
− 4u
29
+ ··· − 4u + 1
c
11
, c
12
u
30
− u
29
+ ··· − 4u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 13y
29
+ ··· + 5y + 1
c
2
, c
6
y
30
− 15y
29
+ ··· − 11y + 1
c
3
y
30
− 3y
29
+ ··· + 7y + 1
c
4
, c
11
, c
12
y
30
− 31y
29
+ ··· − 26y + 1
c
5
y
30
+ 8y
29
+ ··· + 26y
2
+ 1
c
7
y
30
+ 7y
29
+ ··· − 11y + 1
c
8
y
30
+ 7y
29
+ ··· + 3y + 1
c
9
y
30
+ 12y
29
+ ··· + 17y + 1
c
10
y
30
+ 26y
28
+ ··· + 8y + 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.327349 + 0.893526I
a = 0.598882 + 0.395257I
b = 0.327878 + 0.011372I
−2.70069 − 0.81328I −7.40030 + 8.91898I
u = 0.327349 − 0.893526I
a = 0.598882 − 0.395257I
b = 0.327878 − 0.011372I
−2.70069 + 0.81328I −7.40030 − 8.91898I
u = −0.801518 + 0.216726I
a = −0.290976 − 0.448473I
b = 0.436718 − 0.764145I
1.33449 − 2.54062I 1.03057 + 4.88703I
u = −0.801518 − 0.216726I
a = −0.290976 + 0.448473I
b = 0.436718 + 0.764145I
1.33449 + 2.54062I 1.03057 − 4.88703I
u = 0.958078 + 0.729315I
a = 0.085231 + 0.485726I
b = 0.355354 + 0.414395I
−0.94944 + 6.72558I 0. − 20.6147I
u = 0.958078 − 0.729315I
a = 0.085231 − 0.485726I
b = 0.355354 − 0.414395I
−0.94944 − 6.72558I 0. + 20.6147I
u = −0.312463 + 0.690769I
a = 0.777797 − 0.690194I
b = 1.185260 − 0.400087I
1.88491 − 3.46509I −2.14376 + 6.83813I
u = −0.312463 − 0.690769I
a = 0.777797 + 0.690194I
b = 1.185260 + 0.400087I
1.88491 + 3.46509I −2.14376 − 6.83813I
u = −1.255070 + 0.002063I
a = 0.859450 − 0.015388I
b = −0.08966 − 1.50947I
3.98721 − 1.94951I 3.21657 + 3.19754I
u = −1.255070 − 0.002063I
a = 0.859450 + 0.015388I
b = −0.08966 + 1.50947I
3.98721 + 1.94951I 3.21657 − 3.19754I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.254710 + 0.182258I
a = 0.248425 − 0.633247I
b = 0.125104 − 0.798236I
1.83156 − 2.87020I 0
u = −1.254710 − 0.182258I
a = 0.248425 + 0.633247I
b = 0.125104 + 0.798236I
1.83156 + 2.87020I 0
u = 1.280780 + 0.004774I
a = 1.083980 + 0.049501I
b = −0.46316 + 1.50919I
3.04881 + 7.06770I 0. − 8.76611I
u = 1.280780 − 0.004774I
a = 1.083980 − 0.049501I
b = −0.46316 − 1.50919I
3.04881 − 7.06770I 0. + 8.76611I
u = 1.317370 + 0.055154I
a = 1.156380 + 0.807658I
b = −0.312580 + 0.738819I
0.174176 + 1.325610I 0
u = 1.317370 − 0.055154I
a = 1.156380 − 0.807658I
b = −0.312580 − 0.738819I
0.174176 − 1.325610I 0
u = −0.464193 + 0.262049I
a = −0.64391 − 1.54143I
b = 0.565220 − 1.120930I
1.25835 − 2.38271I 2.45793 + 5.11355I
u = −0.464193 − 0.262049I
a = −0.64391 + 1.54143I
b = 0.565220 + 1.120930I
1.25835 + 2.38271I 2.45793 − 5.11355I
u = 1.46139 + 0.21985I
a = −0.322648 + 0.831374I
b = 1.67410 + 0.66657I
7.76094 + 6.57222I 0
u = 1.46139 − 0.21985I
a = −0.322648 − 0.831374I
b = 1.67410 − 0.66657I
7.76094 − 6.57222I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.48350 + 0.18552I
a = −0.468341 + 0.887423I
b = 1.35769 + 1.27889I
7.71494 + 4.54423I 0
u = 1.48350 − 0.18552I
a = −0.468341 − 0.887423I
b = 1.35769 − 1.27889I
7.71494 − 4.54423I 0
u = −1.49732 + 0.18467I
a = −0.510856 − 0.845568I
b = 0.95474 − 1.23796I
6.71438 − 9.10022I 0
u = −1.49732 − 0.18467I
a = −0.510856 + 0.845568I
b = 0.95474 + 1.23796I
6.71438 + 9.10022I 0
u = 0.413515 + 0.116671I
a = −2.03843 + 1.42982I
b = 0.058338 + 1.172860I
−0.04836 + 7.25262I 0.71388 − 8.17902I
u = 0.413515 − 0.116671I
a = −2.03843 − 1.42982I
b = 0.058338 − 1.172860I
−0.04836 − 7.25262I 0.71388 + 8.17902I
u = 0.378726 + 0.201122I
a = −1.26094 + 2.27371I
b = 0.114119 − 0.328078I
−3.31479 − 0.51345I −1.99868 + 1.47801I
u = 0.378726 − 0.201122I
a = −1.26094 − 2.27371I
b = 0.114119 + 0.328078I
−3.31479 + 0.51345I −1.99868 − 1.47801I
u = −1.53543 + 0.35505I
a = −0.274047 − 0.527185I
b = 1.210880 − 0.133092I
5.84712 − 1.43785I 0
u = −1.53543 − 0.35505I
a = −0.274047 + 0.527185I
b = 1.210880 + 0.133092I
5.84712 + 1.43785I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 15u
29
+ ··· − 11u + 1)(u
144
+ 58u
143
+ ··· + 11398u + 361)
c
2
(u
30
+ u
29
+ ··· + 3u + 1)(u
144
− 2u
143
+ ··· + 32u + 19)
c
3
(u
30
+ u
29
+ ··· + u + 1)
· (u
144
− 2u
143
+ ··· − 340955512u + 126824923)
c
4
(u
30
+ u
29
+ ··· + 4u + 1)(u
144
− 4u
143
+ ··· + 15u + 1)
c
5
(u
30
− 4u
29
+ ··· − 4u + 1)(u
144
+ 15u
143
+ ··· + 45u − 1)
c
6
(u
30
− u
29
+ ··· − 3u + 1)(u
144
− 2u
143
+ ··· + 32u + 19)
c
7
(u
30
− 15u
29
+ ··· − 3u + 1)(u
144
+ 2u
143
+ ··· − 74u + 7)
c
8
(u
30
+ 15u
29
+ ··· + 17u + 1)(u
144
− 14u
143
+ ··· − 235130u + 65317)
c
9
(u
30
+ 4u
29
+ ··· + 3u + 1)(u
144
− u
143
+ ··· − 2778440u + 233557)
c
10
(u
30
− 4u
29
+ ··· − 4u + 1)(u
144
+ 5u
143
+ ··· − 140899u + 14783)
c
11
, c
12
(u
30
− u
29
+ ··· − 4u + 1)(u
144
− 4u
143
+ ··· + 15u + 1)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 13y
29
+ ··· + 5y + 1)
· (y
144
+ 70y
143
+ ··· + 11864014y + 130321)
c
2
, c
6
(y
30
− 15y
29
+ ··· − 11y + 1)(y
144
− 58y
143
+ ··· − 11398y + 361)
c
3
(y
30
− 3y
29
+ ··· + 7y + 1)
· (y
144
+ 50y
143
+ ··· + 928165311949487672y + 16084561093955929)
c
4
, c
11
, c
12
(y
30
− 31y
29
+ ··· − 26y + 1)(y
144
− 142y
143
+ ··· + 159y + 1)
c
5
(y
30
+ 8y
29
+ ··· + 26y
2
+ 1)(y
144
+ 5y
143
+ ··· − 3139y + 1)
c
7
(y
30
+ 7y
29
+ ··· − 11y + 1)(y
144
+ 12y
143
+ ··· + 1734y + 49)
c
8
(y
30
+ 7y
29
+ ··· + 3y + 1)
· (y
144
− 44y
143
+ ··· + 923597554320y + 4266310489)
c
9
(y
30
+ 12y
29
+ ··· + 17y + 1)
· (y
144
+ 29y
143
+ ··· + 159556190882y + 54548872249)
c
10
(y
30
+ 26y
28
+ ··· + 8y + 1)
· (y
144
+ 25y
143
+ ··· + 5445649265y + 218537089)
27
