12a
0666
(K12a
0666
)
A knot diagram
1
Linearized knot diagam
3 7 10 1 11 8 2 12 6 4 9 5
Solving Sequence
8,12 2,9
7 3 1 6 10 11 5 4
c
8
c
7
c
2
c
1
c
6
c
9
c
11
c
5
c
4
c
3
, c
10
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.92536 × 10
447
u
136
− 1.57456 × 10
447
u
135
+ ··· + 2.39588 × 10
446
b + 4.72928 × 10
450
,
− 3.48036 × 10
450
u
136
− 1.65662 × 10
451
u
135
+ ··· + 3.33746 × 10
449
a − 1.48601 × 10
454
,
u
137
+ 3u
136
+ ··· + 12298u + 1393i
I
u
2
= h−37u
33
− 194u
32
+ ··· + b + 52, 53u
33
+ 297u
32
+ ··· + a − 41, u
34
+ 6u
33
+ ··· + 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 171 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−1.93 × 10
447
u
136
− 1.57 × 10
447
u
135
+ · · · + 2.40 × 10
446
b + 4.73 ×
10
450
, −3.48 × 10
450
u
136
− 1.66 × 10
451
u
135
+ · · · + 3.34 × 10
449
a − 1.49 ×
10
454
, u
137
+ 3u
136
+ · · · + 12298u + 1393i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
2
=
10.4282u
136
+ 49.6372u
135
+ ··· + 370840.u + 44525.3
8.03614u
136
+ 6.57193u
135
+ ··· − 142787.u − 19739.2
a
9
=
1
−u
2
a
7
=
−11.7845u
136
− 76.5988u
135
+ ··· − 698843.u − 85744.5
−14.2129u
136
− 12.7212u
135
+ ··· + 238819.u + 33252.7
a
3
=
22.0351u
136
+ 110.468u
135
+ ··· + 864379.u + 104191.
20.1032u
136
+ 18.1880u
135
+ ··· − 333364.u − 46394.0
a
1
=
−0.643174u
136
− 15.6030u
135
+ ··· − 187575.u − 23560.4
−0.834262u
136
+ 1.08169u
135
+ ··· + 37569.5u + 4944.21
a
6
=
−25.9974u
136
− 89.3200u
135
+ ··· − 460024.u − 52491.8
−14.2129u
136
− 12.7212u
135
+ ··· + 238819.u + 33252.7
a
10
=
24.9079u
136
+ 68.9754u
135
+ ··· + 218947.u + 22439.7
−10.4660u
136
− 39.8991u
135
+ ··· − 237662.u − 27835.2
a
11
=
−u
u
3
+ u
a
5
=
−21.9691u
136
− 85.4323u
135
+ ··· − 521504.u − 61150.8
−21.1785u
136
− 29.9099u
135
+ ··· + 205101.u + 30493.0
a
4
=
13.2695u
136
+ 95.3119u
135
+ ··· + 923969.u + 113612.
28.7003u
136
+ 42.3559u
135
+ ··· − 266352.u − 39877.1
(ii) Obstruction class = −1
(iii) Cusp Shapes = 7.98852u
136
+ 41.2715u
135
+ ··· + 305649.u + 36865.9
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
137
+ 45u
136
+ ··· − 444418u − 20449
c
2
, c
7
u
137
+ u
136
+ ··· + 702u + 143
c
3
, c
10
u
137
− u
136
+ ··· + u + 1
c
4
, c
12
u
137
− 3u
136
+ ··· − 6424u + 2032
c
5
u
137
+ u
136
+ ··· + 13177u + 477
c
8
, c
11
u
137
+ 3u
136
+ ··· + 12298u + 1393
c
9
u
137
− 3u
136
+ ··· + 171627u − 48532
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
137
+ 109y
136
+ ··· − 5228485158y −418161601
c
2
, c
7
y
137
+ 45y
136
+ ··· − 444418y −20449
c
3
, c
10
y
137
− 71y
136
+ ··· + 33y −1
c
4
, c
12
y
137
+ 95y
136
+ ··· − 264913984y −4129024
c
5
y
137
− 9y
136
+ ··· + 72296587y −227529
c
8
, c
11
y
137
+ 69y
136
+ ··· − 92146942y −1940449
c
9
y
137
− 11y
136
+ ··· + 35394493841y −2355355024
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.993143 + 0.101701I
a = −0.218165 − 0.232465I
b = 0.215078 + 1.068600I
−1.65595 + 6.89184I 0
u = −0.993143 − 0.101701I
a = −0.218165 + 0.232465I
b = 0.215078 − 1.068600I
−1.65595 − 6.89184I 0
u = 0.392533 + 0.907153I
a = −1.54339 + 1.44894I
b = 0.716841 + 1.084560I
3.05117 + 9.19531I 0
u = 0.392533 − 0.907153I
a = −1.54339 − 1.44894I
b = 0.716841 − 1.084560I
3.05117 − 9.19531I 0
u = 0.335737 + 0.917551I
a = −2.64118 + 2.15957I
b = 0.715749 + 0.845361I
3.44248 + 0.46124I 0
u = 0.335737 − 0.917551I
a = −2.64118 − 2.15957I
b = 0.715749 − 0.845361I
3.44248 − 0.46124I 0
u = 0.419337 + 0.870394I
a = 0.66926 + 1.81274I
b = 0.709268 − 0.897251I
3.28050 − 4.99373I 0
u = 0.419337 − 0.870394I
a = 0.66926 − 1.81274I
b = 0.709268 + 0.897251I
3.28050 + 4.99373I 0
u = −0.516989 + 0.804672I
a = −0.579232 + 0.152322I
b = −0.229961 + 0.657869I
−5.23773 − 2.94305I 0
u = −0.516989 − 0.804672I
a = −0.579232 − 0.152322I
b = −0.229961 − 0.657869I
−5.23773 + 2.94305I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368298 + 0.881432I
a = 2.26249 + 1.16568I
b = −0.804910 + 0.958572I
6.25192 − 4.89483I 0
u = −0.368298 − 0.881432I
a = 2.26249 − 1.16568I
b = −0.804910 − 0.958572I
6.25192 + 4.89483I 0
u = −0.396093 + 0.835282I
a = 1.86286 + 0.16204I
b = −0.900967 + 0.906827I
6.63966 − 4.81464I 0
u = −0.396093 − 0.835282I
a = 1.86286 − 0.16204I
b = −0.900967 − 0.906827I
6.63966 + 4.81464I 0
u = −0.214491 + 1.057340I
a = 0.50406 − 1.35552I
b = −0.449252 − 1.022370I
−7.08230 + 0.25351I 0
u = −0.214491 − 1.057340I
a = 0.50406 + 1.35552I
b = −0.449252 + 1.022370I
−7.08230 − 0.25351I 0
u = 0.460709 + 0.795289I
a = 0.298432 + 0.730500I
b = 0.857184 − 0.587518I
4.54617 + 3.31372I 0
u = 0.460709 − 0.795289I
a = 0.298432 − 0.730500I
b = 0.857184 + 0.587518I
4.54617 − 3.31372I 0
u = 0.422657 + 0.813674I
a = −1.171570 − 0.202241I
b = 0.914540 + 0.738281I
4.52281 + 0.41179I 0
u = 0.422657 − 0.813674I
a = −1.171570 + 0.202241I
b = 0.914540 − 0.738281I
4.52281 − 0.41179I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.361692 + 0.841302I
a = 2.58809 + 0.33776I
b = −0.857062 + 0.927377I
6.46165 − 4.79464I 0
u = −0.361692 − 0.841302I
a = 2.58809 − 0.33776I
b = −0.857062 − 0.927377I
6.46165 + 4.79464I 0
u = 0.903691 + 0.088826I
a = 1.44805 + 0.24406I
b = −0.717408 − 0.832415I
3.83282 + 2.56162I 0
u = 0.903691 − 0.088826I
a = 1.44805 − 0.24406I
b = −0.717408 + 0.832415I
3.83282 − 2.56162I 0
u = −0.418033 + 0.804706I
a = −0.008821 + 1.147750I
b = −0.877861 − 0.810105I
6.71587 + 1.32958I 0
u = −0.418033 − 0.804706I
a = −0.008821 − 1.147750I
b = −0.877861 + 0.810105I
6.71587 − 1.32958I 0
u = −0.113520 + 1.087530I
a = −1.31438 − 0.79719I
b = 0.527247 − 0.883145I
−1.72816 − 2.72038I 0
u = −0.113520 − 1.087530I
a = −1.31438 + 0.79719I
b = 0.527247 + 0.883145I
−1.72816 + 2.72038I 0
u = 0.896144 + 0.070680I
a = 1.176020 + 0.576398I
b = −0.702580 − 0.907849I
3.60119 + 2.87209I 0
u = 0.896144 − 0.070680I
a = 1.176020 − 0.576398I
b = −0.702580 + 0.907849I
3.60119 − 2.87209I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.367760 + 0.813349I
a = 0.60666 + 1.64872I
b = −0.862981 − 0.900064I
6.54515 + 1.58431I 0
u = −0.367760 − 0.813349I
a = 0.60666 − 1.64872I
b = −0.862981 + 0.900064I
6.54515 − 1.58431I 0
u = 0.451707 + 1.019320I
a = 1.60939 + 0.51494I
b = −0.173522 − 0.796738I
−2.15556 + 5.13134I 0
u = 0.451707 − 1.019320I
a = 1.60939 − 0.51494I
b = −0.173522 + 0.796738I
−2.15556 − 5.13134I 0
u = 0.804434 + 0.334261I
a = 0.976121 − 0.598655I
b = −0.444550 − 0.275846I
3.40481 + 1.01507I 0
u = 0.804434 − 0.334261I
a = 0.976121 + 0.598655I
b = −0.444550 + 0.275846I
3.40481 − 1.01507I 0
u = −1.072280 + 0.366077I
a = 1.63883 − 0.56764I
b = −0.860414 + 0.716196I
5.54552 + 6.60550I 0
u = −1.072280 − 0.366077I
a = 1.63883 + 0.56764I
b = −0.860414 − 0.716196I
5.54552 − 6.60550I 0
u = 0.327386 + 1.085800I
a = 0.049409 + 0.759822I
b = −0.165832 + 1.204450I
−3.49765 + 0.87772I 0
u = 0.327386 − 1.085800I
a = 0.049409 − 0.759822I
b = −0.165832 − 1.204450I
−3.49765 − 0.87772I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.164764 + 0.848550I
a = −0.326735 − 0.251444I
b = 0.508569 + 0.345209I
−0.392647 + 1.151400I 0
u = 0.164764 − 0.848550I
a = −0.326735 + 0.251444I
b = 0.508569 − 0.345209I
−0.392647 − 1.151400I 0
u = −0.400949 + 1.064290I
a = −0.698332 − 0.958258I
b = 0.720921 + 0.502062I
−1.42672 + 0.77872I 0
u = −0.400949 − 1.064290I
a = −0.698332 + 0.958258I
b = 0.720921 − 0.502062I
−1.42672 − 0.77872I 0
u = −0.364467 + 0.780883I
a = 0.878470 + 1.096230I
b = −0.866933 − 0.921688I
6.57472 + 1.68871I 0
u = −0.364467 − 0.780883I
a = 0.878470 − 1.096230I
b = −0.866933 + 0.921688I
6.57472 − 1.68871I 0
u = 0.367939 + 0.777842I
a = −2.49524 − 1.09866I
b = 0.782216 + 0.937556I
3.62022 + 8.40450I 0
u = 0.367939 − 0.777842I
a = −2.49524 + 1.09866I
b = 0.782216 − 0.937556I
3.62022 − 8.40450I 0
u = −0.384630 + 1.077120I
a = 0.196232 + 0.403779I
b = −0.594972 + 0.100972I
−4.76593 − 3.47175I 0
u = −0.384630 − 1.077120I
a = 0.196232 − 0.403779I
b = −0.594972 − 0.100972I
−4.76593 + 3.47175I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.304451 + 0.778083I
a = −2.15880 + 1.44622I
b = 0.816538 − 0.837720I
3.93353 + 2.41327I 0
u = 0.304451 − 0.778083I
a = −2.15880 − 1.44622I
b = 0.816538 + 0.837720I
3.93353 − 2.41327I 0
u = −0.828620 + 0.007884I
a = −1.85148 − 0.35762I
b = 0.759856 + 0.964455I
1.39093 + 7.00393I 0
u = −0.828620 − 0.007884I
a = −1.85148 + 0.35762I
b = 0.759856 − 0.964455I
1.39093 − 7.00393I 0
u = 0.014036 + 0.825161I
a = −1.43561 − 4.31284I
b = 0.129023 − 0.728985I
0.28990 − 2.20949I 0
u = 0.014036 − 0.825161I
a = −1.43561 + 4.31284I
b = 0.129023 + 0.728985I
0.28990 + 2.20949I 0
u = 0.355556 + 0.742629I
a = −1.026380 + 0.177768I
b = 0.801561 − 1.032050I
3.61646 − 5.91274I 0
u = 0.355556 − 0.742629I
a = −1.026380 − 0.177768I
b = 0.801561 + 1.032050I
3.61646 + 5.91274I 0
u = −1.139030 + 0.338886I
a = 1.55291 + 0.58164I
b = −0.754410 − 1.020510I
4.60598 + 12.61970I 0
u = −1.139030 − 0.338886I
a = 1.55291 − 0.58164I
b = −0.754410 + 1.020510I
4.60598 − 12.61970I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.375911 + 1.135100I
a = −0.142324 + 0.445881I
b = 0.413396 + 1.237030I
−4.31323 − 3.59247I 0
u = −0.375911 − 1.135100I
a = −0.142324 − 0.445881I
b = 0.413396 − 1.237030I
−4.31323 + 3.59247I 0
u = −0.363577 + 1.159620I
a = −1.220750 − 0.367940I
b = 0.669024 − 0.724481I
−1.91888 − 2.86850I 0
u = −0.363577 − 1.159620I
a = −1.220750 + 0.367940I
b = 0.669024 + 0.724481I
−1.91888 + 2.86850I 0
u = −0.778000 + 0.066848I
a = −1.42799 + 0.91687I
b = 0.810378 − 0.785210I
1.94160 + 1.10807I 0
u = −0.778000 − 0.066848I
a = −1.42799 − 0.91687I
b = 0.810378 + 0.785210I
1.94160 − 1.10807I 0
u = 0.264817 + 1.196190I
a = −0.294259 + 1.340730I
b = 0.063453 + 0.987721I
−4.34457 + 2.46575I 0
u = 0.264817 − 1.196190I
a = −0.294259 − 1.340730I
b = 0.063453 − 0.987721I
−4.34457 − 2.46575I 0
u = 0.162186 + 1.222950I
a = 1.163560 + 0.247869I
b = −0.473152 + 0.605479I
−1.49506 + 2.98930I 0
u = 0.162186 − 1.222950I
a = 1.163560 − 0.247869I
b = −0.473152 − 0.605479I
−1.49506 − 2.98930I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522387 + 1.125440I
a = 0.635698 − 0.248411I
b = −0.717731 + 0.117324I
0.98211 + 3.85776I 0
u = 0.522387 − 1.125440I
a = 0.635698 + 0.248411I
b = −0.717731 − 0.117324I
0.98211 − 3.85776I 0
u = −0.360988 + 1.188570I
a = 0.95877 + 1.46767I
b = −0.210270 + 1.053090I
−8.38401 − 6.17019I 0
u = −0.360988 − 1.188570I
a = 0.95877 − 1.46767I
b = −0.210270 − 1.053090I
−8.38401 + 6.17019I 0
u = −0.498190 + 1.145610I
a = −0.784141 − 0.350457I
b = 0.922097 − 0.125766I
−0.64331 − 8.43493I 0
u = −0.498190 − 1.145610I
a = −0.784141 + 0.350457I
b = 0.922097 + 0.125766I
−0.64331 + 8.43493I 0
u = 0.555101 + 1.139340I
a = 0.429042 − 0.506563I
b = −0.716737 + 0.615005I
0.83561 + 2.66881I 0
u = 0.555101 − 1.139340I
a = 0.429042 + 0.506563I
b = −0.716737 − 0.615005I
0.83561 − 2.66881I 0
u = −0.699115 + 0.214848I
a = −1.20389 − 0.93781I
b = 0.707081 + 0.058289I
2.06768 + 3.88854I 0
u = −0.699115 − 0.214848I
a = −1.20389 + 0.93781I
b = 0.707081 − 0.058289I
2.06768 − 3.88854I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.476043 + 1.180790I
a = −0.102158 − 0.957535I
b = 0.851883 + 0.737158I
−1.28877 − 5.63444I 0
u = −0.476043 − 1.180790I
a = −0.102158 + 0.957535I
b = 0.851883 − 0.737158I
−1.28877 + 5.63444I 0
u = 1.251420 + 0.281998I
a = 0.276455 + 0.147205I
b = −0.140848 + 0.858327I
1.76672 − 1.02889I 0
u = 1.251420 − 0.281998I
a = 0.276455 − 0.147205I
b = −0.140848 − 0.858327I
1.76672 + 1.02889I 0
u = −0.579676 + 1.154700I
a = −1.93844 − 0.37344I
b = 0.622082 − 1.026640I
−2.92632 − 4.30812I 0
u = −0.579676 − 1.154700I
a = −1.93844 + 0.37344I
b = 0.622082 + 1.026640I
−2.92632 + 4.30812I 0
u = −0.856923 + 0.968536I
a = 1.23974 + 1.20572I
b = −0.711815 − 0.829718I
−2.50811 − 0.59518I 0
u = −0.856923 − 0.968536I
a = 1.23974 − 1.20572I
b = −0.711815 + 0.829718I
−2.50811 + 0.59518I 0
u = 0.088978 + 1.290330I
a = 0.999566 + 0.163151I
b = −0.594033 + 0.601718I
−1.50031 + 2.99831I 0
u = 0.088978 − 1.290330I
a = 0.999566 − 0.163151I
b = −0.594033 − 0.601718I
−1.50031 − 2.99831I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.477721 + 1.213540I
a = −1.96698 − 1.02776I
b = 0.760111 − 1.009490I
−2.13051 − 11.64950I 0
u = −0.477721 − 1.213540I
a = −1.96698 + 1.02776I
b = 0.760111 + 1.009490I
−2.13051 + 11.64950I 0
u = 0.524657 + 1.202000I
a = −0.020882 − 0.610337I
b = −0.684439 + 0.810813I
0.28445 + 2.16636I 0
u = 0.524657 − 1.202000I
a = −0.020882 + 0.610337I
b = −0.684439 − 0.810813I
0.28445 − 2.16636I 0
u = 1.181100 + 0.583727I
a = −1.75285 − 0.51367I
b = 0.793700 + 0.794483I
7.65989 + 0.80808I 0
u = 1.181100 − 0.583727I
a = −1.75285 + 0.51367I
b = 0.793700 − 0.794483I
7.65989 − 0.80808I 0
u = −0.637475 + 1.154780I
a = −0.908847 − 0.872106I
b = −0.023503 − 0.890496I
−6.63194 − 2.04469I 0
u = −0.637475 − 1.154780I
a = −0.908847 + 0.872106I
b = −0.023503 + 0.890496I
−6.63194 + 2.04469I 0
u = 0.056983 + 0.678074I
a = −0.06769 − 2.21669I
b = 0.109985 − 1.246770I
−1.54146 + 1.35035I 0
u = 0.056983 − 0.678074I
a = −0.06769 + 2.21669I
b = 0.109985 + 1.246770I
−1.54146 − 1.35035I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.585908 + 0.342572I
a = −1.50703 − 1.52512I
b = 0.372092 + 0.951869I
−0.770443 − 0.547292I 0
u = −0.585908 − 0.342572I
a = −1.50703 + 1.52512I
b = 0.372092 − 0.951869I
−0.770443 + 0.547292I 0
u = −0.422000 + 1.272690I
a = −0.575533 + 0.086946I
b = 0.679722 + 0.934991I
−2.49125 + 2.35660I 0
u = −0.422000 − 1.272690I
a = −0.575533 − 0.086946I
b = 0.679722 − 0.934991I
−2.49125 − 2.35660I 0
u = 0.487366 + 1.254290I
a = 1.62217 − 1.02987I
b = −0.682957 − 0.934186I
−0.11114 + 7.44318I 0
u = 0.487366 − 1.254290I
a = 1.62217 + 1.02987I
b = −0.682957 + 0.934186I
−0.11114 − 7.44318I 0
u = −0.852581 + 1.049770I
a = 2.30661 − 0.02185I
b = −0.704234 + 0.908771I
−2.75425 − 6.02344I 0
u = −0.852581 − 1.049770I
a = 2.30661 + 0.02185I
b = −0.704234 − 0.908771I
−2.75425 + 6.02344I 0
u = −0.533149 + 1.254590I
a = −1.009580 − 0.757415I
b = 0.249405 − 1.188060I
−5.21066 − 12.26540I 0
u = −0.533149 − 1.254590I
a = −1.009580 + 0.757415I
b = 0.249405 + 1.188060I
−5.21066 + 12.26540I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.246560 + 0.557148I
a = −1.50904 + 0.64457I
b = 0.749899 − 0.952042I
7.17363 − 5.00606I 0
u = 1.246560 − 0.557148I
a = −1.50904 − 0.64457I
b = 0.749899 + 0.952042I
7.17363 + 5.00606I 0
u = 0.520321 + 1.275230I
a = 1.42291 − 0.70314I
b = −0.646359 − 1.031850I
−0.41612 + 7.92072I 0
u = 0.520321 − 1.275230I
a = 1.42291 + 0.70314I
b = −0.646359 + 1.031850I
−0.41612 − 7.92072I 0
u = 0.446314 + 0.431505I
a = 0.28919 − 2.37502I
b = 0.040024 + 0.878173I
−0.481966 − 1.247710I 0
u = 0.446314 − 0.431505I
a = 0.28919 + 2.37502I
b = 0.040024 − 0.878173I
−0.481966 + 1.247710I 0
u = −0.653847 + 1.226990I
a = 0.539138 + 0.976902I
b = −0.923455 − 0.692051I
2.81024 − 12.76900I 0
u = −0.653847 − 1.226990I
a = 0.539138 − 0.976902I
b = −0.923455 + 0.692051I
2.81024 + 12.76900I 0
u = −0.302408 + 1.365590I
a = 0.444009 + 0.745147I
b = 0.015939 + 1.078320I
−6.67395 + 2.07254I 0
u = −0.302408 − 1.365590I
a = 0.444009 − 0.745147I
b = 0.015939 − 1.078320I
−6.67395 − 2.07254I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.560964 + 1.282850I
a = 1.011750 − 0.908126I
b = −0.269771 − 0.977510I
−1.82196 + 7.17496I 0
u = 0.560964 − 1.282850I
a = 1.011750 + 0.908126I
b = −0.269771 + 0.977510I
−1.82196 − 7.17496I 0
u = 0.73152 + 1.21430I
a = −0.687673 + 0.983729I
b = 0.853915 − 0.759463I
5.44339 + 6.00294I 0
u = 0.73152 − 1.21430I
a = −0.687673 − 0.983729I
b = 0.853915 + 0.759463I
5.44339 − 6.00294I 0
u = −0.562629 + 0.113358I
a = 0.565003 + 0.685112I
b = −0.253809 + 0.942135I
−4.68397 − 2.68678I 0
u = −0.562629 − 0.113358I
a = 0.565003 − 0.685112I
b = −0.253809 − 0.942135I
−4.68397 + 2.68678I 0
u = −0.66724 + 1.26099I
a = 1.97775 + 0.59141I
b = −0.770964 + 1.058360I
1.6658 − 19.0131I 0
u = −0.66724 − 1.26099I
a = 1.97775 − 0.59141I
b = −0.770964 − 1.058360I
1.6658 + 19.0131I 0
u = −0.562921
a = 0.812695
b = −0.554843
−1.88238 −4.00000
u = 1.45773 + 0.05490I
a = 1.46482 + 0.39418I
b = −0.668199 − 0.865493I
4.54329 + 2.58597I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.45773 − 0.05490I
a = 1.46482 − 0.39418I
b = −0.668199 + 0.865493I
4.54329 − 2.58597I 0
u = 0.74220 + 1.25860I
a = −2.00241 + 0.42267I
b = 0.769406 + 0.996120I
4.70822 + 12.05210I 0
u = 0.74220 − 1.25860I
a = −2.00241 − 0.42267I
b = 0.769406 − 0.996120I
4.70822 − 12.05210I 0
u = −0.01610 + 1.48390I
a = 0.867755 − 0.348282I
b = −0.657189 − 0.995765I
−2.56099 + 8.09911I 0
u = −0.01610 − 1.48390I
a = 0.867755 + 0.348282I
b = −0.657189 + 0.995765I
−2.56099 − 8.09911I 0
u = −0.000754 + 0.313851I
a = 0.806403 − 0.510786I
b = 0.262316 + 0.579345I
−0.258015 + 0.933827I −5.31189 − 6.94666I
u = −0.000754 − 0.313851I
a = 0.806403 + 0.510786I
b = 0.262316 − 0.579345I
−0.258015 − 0.933827I −5.31189 + 6.94666I
18
II. I
u
2
= h−37u
33
− 194u
32
+ · · · + b + 52, 53u
33
+ 297u
32
+ · · · + a −
41, u
34
+ 6u
33
+ · · · + 6u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
2
=
−53u
33
− 297u
32
+ ··· − 42u + 41
37u
33
+ 194u
32
+ ··· − 155u − 52
a
9
=
1
−u
2
a
7
=
−25u
33
− 135u
32
+ ··· − 608u − 84
120u
33
+ 754u
32
+ ··· + 764u + 94
a
3
=
78u
33
+ 349u
32
+ ··· − 1069u − 166
12u
33
+ 73u
32
+ ··· + 272u
2
− 36
a
1
=
−8u
33
− 47u
32
+ ··· − 107u − 14
7u
33
+ 42u
32
+ ··· + 77u + 9
a
6
=
95u
33
+ 619u
32
+ ··· + 156u + 10
120u
33
+ 754u
32
+ ··· + 764u + 94
a
10
=
8u
33
+ 41u
32
+ ··· − 107u − 30
−4u
33
− 19u
32
+ ··· + 115u + 25
a
11
=
−u
u
3
+ u
a
5
=
7u
33
+ 73u
32
+ ··· − 247u − 36
149u
33
+ 950u
32
+ ··· + 971u + 122
a
4
=
155u
33
+ 885u
32
+ ··· + 312u + 5
−99u
33
− 588u
32
+ ··· + 91u + 24
(ii) Obstruction class = 1
(iii) Cusp Shapes = 90u
33
+ 591u
32
+ ··· + 838u + 121
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
34
− 14u
33
+ ··· − 22u + 1
c
2
u
34
+ 7u
32
+ ··· + 2u + 1
c
3
u
34
− 11u
32
+ ··· + u + 1
c
4
u
34
+ 2u
33
+ ··· + 13u
2
+ 1
c
5
u
34
+ 2u
32
+ ··· − u + 1
c
7
u
34
+ 7u
32
+ ··· − 2u + 1
c
8
u
34
+ 6u
33
+ ··· + 6u + 1
c
9
u
34
+ 4u
33
+ ··· + 20u + 5
c
10
u
34
− 11u
32
+ ··· − u + 1
c
11
u
34
− 6u
33
+ ··· − 6u + 1
c
12
u
34
− 2u
33
+ ··· + 13u
2
+ 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
34
+ 26y
33
+ ··· − 6y + 1
c
2
, c
7
y
34
+ 14y
33
+ ··· + 22y + 1
c
3
, c
10
y
34
− 22y
33
+ ··· − 21y + 1
c
4
, c
12
y
34
+ 32y
33
+ ··· + 26y + 1
c
5
y
34
+ 4y
33
+ ··· + 25y + 1
c
8
, c
11
y
34
+ 14y
33
+ ··· + 22y + 1
c
9
y
34
− 2y
33
+ ··· + 70y + 25
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.531197 + 0.860035I
a = −0.028059 − 0.216849I
b = −0.319752 − 0.723894I
−5.13169 + 3.43542I −6.22878 − 12.35539I
u = 0.531197 − 0.860035I
a = −0.028059 + 0.216849I
b = −0.319752 + 0.723894I
−5.13169 − 3.43542I −6.22878 + 12.35539I
u = −0.305851 + 0.883738I
a = 2.32475 + 0.55537I
b = −0.882247 + 0.946586I
6.08861 − 4.63735I −13.45266 − 0.77249I
u = −0.305851 − 0.883738I
a = 2.32475 − 0.55537I
b = −0.882247 − 0.946586I
6.08861 + 4.63735I −13.45266 + 0.77249I
u = −1.083990 + 0.156949I
a = −0.637472 + 0.042373I
b = 0.143242 + 0.755120I
2.01840 + 0.58934I 0. + 3.56280I
u = −1.083990 − 0.156949I
a = −0.637472 − 0.042373I
b = 0.143242 − 0.755120I
2.01840 − 0.58934I 0. − 3.56280I
u = −0.291859 + 0.836922I
a = 0.25585 + 1.47115I
b = −0.896118 − 0.886623I
6.26653 + 1.91098I −10.28115 − 8.35489I
u = −0.291859 − 0.836922I
a = 0.25585 − 1.47115I
b = −0.896118 + 0.886623I
6.26653 − 1.91098I −10.28115 + 8.35489I
u = 0.455025 + 1.068360I
a = −0.222783 + 1.016780I
b = −0.303405 + 0.958588I
−6.01400 + 0.73675I −7.96061 + 0.I
u = 0.455025 − 1.068360I
a = −0.222783 − 1.016780I
b = −0.303405 − 0.958588I
−6.01400 − 0.73675I −7.96061 + 0.I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.403343 + 1.097370I
a = −1.63748 + 0.08624I
b = 0.284770 − 0.519906I
−1.30760 − 4.65184I 0
u = −0.403343 − 1.097370I
a = −1.63748 − 0.08624I
b = 0.284770 + 0.519906I
−1.30760 + 4.65184I 0
u = −0.247452 + 1.150500I
a = −0.394969 + 0.554334I
b = 0.243437 + 1.119060I
−3.65226 − 2.23124I −8.56366 + 0.I
u = −0.247452 − 1.150500I
a = −0.394969 − 0.554334I
b = 0.243437 − 1.119060I
−3.65226 + 2.23124I −8.56366 + 0.I
u = −0.061030 + 0.799214I
a = 0.00300 − 2.43732I
b = 0.088380 − 1.172380I
−1.96507 + 0.97744I −12.12331 + 2.30430I
u = −0.061030 − 0.799214I
a = 0.00300 + 2.43732I
b = 0.088380 + 1.172380I
−1.96507 − 0.97744I −12.12331 − 2.30430I
u = 0.776930 + 0.977998I
a = 1.05733 − 1.08804I
b = −0.622582 + 0.794582I
−3.61077 + 0.68061I 0
u = 0.776930 − 0.977998I
a = 1.05733 + 1.08804I
b = −0.622582 − 0.794582I
−3.61077 − 0.68061I 0
u = −0.744760 + 0.037856I
a = 2.09910 + 1.12955I
b = −0.802449 − 0.893721I
7.46417 + 3.00852I 1.58071 − 2.79319I
u = −0.744760 − 0.037856I
a = 2.09910 − 1.12955I
b = −0.802449 + 0.893721I
7.46417 − 3.00852I 1.58071 + 2.79319I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.146653 + 0.655879I
a = 1.20885 − 4.02390I
b = 0.106837 + 0.514910I
0.79501 + 1.93343I 2.70707 − 0.34971I
u = −0.146653 − 0.655879I
a = 1.20885 + 4.02390I
b = 0.106837 − 0.514910I
0.79501 − 1.93343I 2.70707 + 0.34971I
u = −0.473601 + 1.253110I
a = −0.220023 − 0.142822I
b = 0.678260 + 0.686038I
0.19028 − 3.39843I 0
u = −0.473601 − 1.253110I
a = −0.220023 + 0.142822I
b = 0.678260 − 0.686038I
0.19028 + 3.39843I 0
u = 0.756505 + 1.105600I
a = 2.13157 − 0.26921I
b = −0.616813 − 0.925510I
−4.03438 + 5.55026I 0
u = 0.756505 − 1.105600I
a = 2.13157 + 0.26921I
b = −0.616813 + 0.925510I
−4.03438 − 5.55026I 0
u = 0.077228 + 0.614224I
a = −2.76002 + 0.78188I
b = 0.768190 + 0.991814I
3.22200 + 7.20972I −5.09243 − 5.64626I
u = 0.077228 − 0.614224I
a = −2.76002 − 0.78188I
b = 0.768190 − 0.991814I
3.22200 − 7.20972I −5.09243 + 5.64626I
u = 0.016491 + 0.601763I
a = −0.14750 + 2.20382I
b = 0.815611 − 0.770748I
3.89784 + 1.25513I −3.08032 − 0.16196I
u = 0.016491 − 0.601763I
a = −0.14750 − 2.20382I
b = 0.815611 + 0.770748I
3.89784 − 1.25513I −3.08032 + 0.16196I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.416100 + 1.348230I
a = −1.154930 − 0.753028I
b = 0.646505 − 1.006550I
−0.81477 − 8.56137I 0
u = −0.416100 − 1.348230I
a = −1.154930 + 0.753028I
b = 0.646505 + 1.006550I
−0.81477 + 8.56137I 0
u = −1.43874 + 0.06927I
a = −1.37721 + 0.34845I
b = 0.668134 − 0.861312I
4.81239 − 2.58603I 0
u = −1.43874 − 0.06927I
a = −1.37721 − 0.34845I
b = 0.668134 + 0.861312I
4.81239 + 2.58603I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
6
(u
34
− 14u
33
+ ··· − 22u + 1)(u
137
+ 45u
136
+ ··· − 444418u − 20449)
c
2
(u
34
+ 7u
32
+ ··· + 2u + 1)(u
137
+ u
136
+ ··· + 702u + 143)
c
3
(u
34
− 11u
32
+ ··· + u + 1)(u
137
− u
136
+ ··· + u + 1)
c
4
(u
34
+ 2u
33
+ ··· + 13u
2
+ 1)(u
137
− 3u
136
+ ··· − 6424u + 2032)
c
5
(u
34
+ 2u
32
+ ··· − u + 1)(u
137
+ u
136
+ ··· + 13177u + 477)
c
7
(u
34
+ 7u
32
+ ··· − 2u + 1)(u
137
+ u
136
+ ··· + 702u + 143)
c
8
(u
34
+ 6u
33
+ ··· + 6u + 1)(u
137
+ 3u
136
+ ··· + 12298u + 1393)
c
9
(u
34
+ 4u
33
+ ··· + 20u + 5)(u
137
− 3u
136
+ ··· + 171627u − 48532)
c
10
(u
34
− 11u
32
+ ··· − u + 1)(u
137
− u
136
+ ··· + u + 1)
c
11
(u
34
− 6u
33
+ ··· − 6u + 1)(u
137
+ 3u
136
+ ··· + 12298u + 1393)
c
12
(u
34
− 2u
33
+ ··· + 13u
2
+ 1)(u
137
− 3u
136
+ ··· − 6424u + 2032)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
(y
34
+ 26y
33
+ ··· − 6y + 1)
· (y
137
+ 109y
136
+ ··· − 5228485158y −418161601)
c
2
, c
7
(y
34
+ 14y
33
+ ··· + 22y + 1)(y
137
+ 45y
136
+ ··· − 444418y −20449)
c
3
, c
10
(y
34
− 22y
33
+ ··· − 21y + 1)(y
137
− 71y
136
+ ··· + 33y −1)
c
4
, c
12
(y
34
+ 32y
33
+ ··· + 26y + 1)
· (y
137
+ 95y
136
+ ··· − 264913984y −4129024)
c
5
(y
34
+ 4y
33
+ ··· + 25y + 1)
· (y
137
− 9y
136
+ ··· + 72296587y −227529)
c
8
, c
11
(y
34
+ 14y
33
+ ··· + 22y + 1)
· (y
137
+ 69y
136
+ ··· − 92146942y −1940449)
c
9
(y
34
− 2y
33
+ ··· + 70y + 25)
· (y
137
− 11y
136
+ ··· + 35394493841y −2355355024)
27
