12a
0936
(K12a
0936
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 11 10 3 1 7 2 5 8
Solving Sequence
8,12
1
5,9
4 2 3 7 11 6 10
c
12
c
8
c
4
c
1
c
3
c
7
c
11
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−8.37457 × 10
436
u
125
+ 9.53003 × 10
436
u
124
+ ··· + 1.35101 × 10
438
b + 3.45441 × 10
439
,
5.42684 × 10
439
u
125
− 6.41823 × 10
439
u
124
+ ··· + 5.54363 × 10
440
a − 3.37566 × 10
442
,
u
126
− 2u
125
+ ··· − 3299u + 1231i
I
u
2
= h−16238531u
25
+ 30226626u
24
+ ··· + 923959b − 38221381,
37676420u
25
− 76531168u
24
+ ··· + 923959a + 101309415, u
26
− u
25
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 152 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−8.37 × 10
436
u
125
+ 9.53 × 10
436
u
124
+ · · · + 1.35 × 10
438
b + 3.45 ×
10
439
, 5.43 × 10
439
u
125
− 6.42 × 10
439
u
124
+ · · · + 5.54 × 10
440
a − 3.38 ×
10
442
, u
126
− 2u
125
+ · · · − 3299u + 1231i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.0978932u
125
+ 0.115777u
124
+ ··· − 60.0039u + 60.8925
0.0619876u
125
− 0.0705402u
124
+ ··· + 50.4110u − 25.5692
a
9
=
−u
−u
3
+ u
a
4
=
−0.0359056u
125
+ 0.0452365u
124
+ ··· − 9.59292u + 35.3233
0.0619876u
125
− 0.0705402u
124
+ ··· + 50.4110u − 25.5692
a
2
=
−0.214789u
125
+ 0.296860u
124
+ ··· − 474.659u + 353.417
0.122779u
125
− 0.161806u
124
+ ··· + 149.065u − 130.070
a
3
=
−0.0772666u
125
+ 0.0884009u
124
+ ··· − 71.4657u + 70.1570
0.0636737u
125
− 0.0767534u
124
+ ··· + 32.6989u − 11.7076
a
7
=
−0.108594u
125
+ 0.178457u
124
+ ··· − 259.220u + 200.755
0.0288267u
125
− 0.0221697u
124
+ ··· + 233.565u − 127.968
a
11
=
0.149451u
125
− 0.221439u
124
+ ··· + 127.121u − 131.829
−0.0290794u
125
+ 0.0255495u
124
+ ··· − 149.270u + 74.8556
a
6
=
0.0178159u
125
− 0.00589056u
124
+ ··· + 155.501u − 49.6233
0.0261068u
125
− 0.222873u
124
+ ··· − 717.172u + 238.249
a
10
=
−0.189401u
125
+ 0.179433u
124
+ ··· − 526.484u + 302.818
0.115155u
125
− 0.125900u
124
+ ··· + 283.633u − 171.090
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.46505u
125
+ 6.90651u
124
+ ··· + 16799.0u − 4389.17
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
126
+ 9u
125
+ ··· + 177179u + 46852
c
2
u
126
− 4u
125
+ ··· − 21u + 161
c
3
u
126
− 3u
125
+ ··· − 1627736u + 491149
c
4
, c
5
, c
11
u
126
− u
125
+ ··· − 44u + 1
c
6
, c
9
u
126
+ 4u
125
+ ··· + 940u + 28
c
7
u
126
+ 11u
124
+ ··· + 20491u + 4508
c
8
, c
12
u
126
− 2u
125
+ ··· − 3299u + 1231
c
10
u
126
− 6u
125
+ ··· − 21u + 2
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
126
− 3y
125
+ ··· − 81214908545y + 2195109904
c
2
y
126
− 18y
125
+ ··· − 1745037y + 25921
c
3
y
126
+ 43y
125
+ ··· + 11414107688058y + 241227340201
c
4
, c
5
, c
11
y
126
+ 129y
125
+ ··· − 144y + 1
c
6
, c
9
y
126
+ 92y
125
+ ··· + 2432y + 784
c
7
y
126
+ 22y
125
+ ··· + 3435910495y + 20322064
c
8
, c
12
y
126
− 66y
125
+ ··· − 35934251y + 1515361
c
10
y
126
− 6y
125
+ ··· + 743y + 4
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.148848 + 0.997058I
a = 0.484449 + 0.589301I
b = −0.699615 − 0.538924I
−3.08034 − 8.76965I 0
u = −0.148848 − 0.997058I
a = 0.484449 − 0.589301I
b = −0.699615 + 0.538924I
−3.08034 + 8.76965I 0
u = −0.932617 + 0.406689I
a = 2.39092 + 0.91877I
b = −0.01303 − 1.43923I
7.15726 − 0.43742I 0
u = −0.932617 − 0.406689I
a = 2.39092 − 0.91877I
b = −0.01303 + 1.43923I
7.15726 + 0.43742I 0
u = 0.139361 + 0.971063I
a = 0.679799 − 0.430076I
b = −0.660053 + 0.442878I
2.02908 + 3.15648I 0
u = 0.139361 − 0.971063I
a = 0.679799 + 0.430076I
b = −0.660053 − 0.442878I
2.02908 − 3.15648I 0
u = 0.969622 + 0.329631I
a = 2.64691 + 0.02661I
b = −0.03223 + 1.42157I
2.85868 + 4.34404I 0
u = 0.969622 − 0.329631I
a = 2.64691 − 0.02661I
b = −0.03223 − 1.42157I
2.85868 − 4.34404I 0
u = 0.994765 + 0.250646I
a = 0.051584 − 1.062280I
b = 0.161305 + 0.726440I
0.35382 − 2.73597I 0
u = 0.994765 − 0.250646I
a = 0.051584 + 1.062280I
b = 0.161305 − 0.726440I
0.35382 + 2.73597I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.943035 + 0.237535I
a = −0.685926 + 0.121446I
b = −0.330407 − 0.898944I
−1.56204 + 0.98621I 0
u = −0.943035 − 0.237535I
a = −0.685926 − 0.121446I
b = −0.330407 + 0.898944I
−1.56204 − 0.98621I 0
u = 0.779175 + 0.581592I
a = 1.43608 − 2.67401I
b = −0.01880 + 1.59472I
3.92478 − 2.29687I 0
u = 0.779175 − 0.581592I
a = 1.43608 + 2.67401I
b = −0.01880 − 1.59472I
3.92478 + 2.29687I 0
u = 0.949055 + 0.404563I
a = −1.71474 + 0.73666I
b = −0.31857 − 1.54304I
7.14144 − 5.30194I 0
u = 0.949055 − 0.404563I
a = −1.71474 − 0.73666I
b = −0.31857 + 1.54304I
7.14144 + 5.30194I 0
u = −0.919188 + 0.203338I
a = −1.53946 − 1.04780I
b = −0.11947 + 1.75078I
1.10721 + 0.90973I 0
u = −0.919188 − 0.203338I
a = −1.53946 + 1.04780I
b = −0.11947 − 1.75078I
1.10721 − 0.90973I 0
u = −0.840820 + 0.395590I
a = 0.566454 + 0.458444I
b = 0.522950 − 0.439061I
−1.69920 + 1.44671I 0
u = −0.840820 − 0.395590I
a = 0.566454 − 0.458444I
b = 0.522950 + 0.439061I
−1.69920 − 1.44671I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.984351 + 0.431623I
a = −0.313627 + 0.015274I
b = −0.323201 + 1.073460I
−3.52157 − 2.16105I 0
u = 0.984351 − 0.431623I
a = −0.313627 − 0.015274I
b = −0.323201 − 1.073460I
−3.52157 + 2.16105I 0
u = 0.189494 + 0.902235I
a = 0.37826 − 1.91093I
b = 0.03940 + 1.50859I
6.39893 − 2.09183I 0
u = 0.189494 − 0.902235I
a = 0.37826 + 1.91093I
b = 0.03940 − 1.50859I
6.39893 + 2.09183I 0
u = 1.076520 + 0.119638I
a = −1.197690 − 0.223514I
b = −0.426418 + 0.560555I
−7.01035 − 0.91777I 0
u = 1.076520 − 0.119638I
a = −1.197690 + 0.223514I
b = −0.426418 − 0.560555I
−7.01035 + 0.91777I 0
u = −1.066280 + 0.238950I
a = −0.44262 + 1.55222I
b = 0.078194 − 0.586003I
−3.64530 + 5.96303I 0
u = −1.066280 − 0.238950I
a = −0.44262 − 1.55222I
b = 0.078194 + 0.586003I
−3.64530 − 5.96303I 0
u = 0.836369 + 0.337355I
a = −1.196980 + 0.497658I
b = −0.835817 − 0.333023I
−1.81558 − 5.93479I 0
u = 0.836369 − 0.337355I
a = −1.196980 − 0.497658I
b = −0.835817 + 0.333023I
−1.81558 + 5.93479I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.076530 + 0.257076I
a = −0.199548 − 0.317015I
b = 0.93261 + 1.10702I
−0.95266 + 1.40290I 0
u = −1.076530 − 0.257076I
a = −0.199548 + 0.317015I
b = 0.93261 − 1.10702I
−0.95266 − 1.40290I 0
u = 1.027590 + 0.444521I
a = −0.752960 + 1.009850I
b = −0.300262 − 0.004771I
−6.71965 − 1.59487I 0
u = 1.027590 − 0.444521I
a = −0.752960 − 1.009850I
b = −0.300262 + 0.004771I
−6.71965 + 1.59487I 0
u = −0.666000 + 0.910304I
a = 0.67044 + 1.74561I
b = 0.05679 − 1.56434I
5.49762 + 3.19311I 0
u = −0.666000 − 0.910304I
a = 0.67044 − 1.74561I
b = 0.05679 + 1.56434I
5.49762 − 3.19311I 0
u = −1.017980 + 0.497500I
a = −1.69045 − 0.74925I
b = −0.30351 + 1.47997I
4.08352 + 10.02990I 0
u = −1.017980 − 0.497500I
a = −1.69045 + 0.74925I
b = −0.30351 − 1.47997I
4.08352 − 10.02990I 0
u = −0.074073 + 1.135800I
a = 0.25441 − 1.94446I
b = 0.00690 + 1.46050I
6.38693 − 1.83428I 0
u = −0.074073 − 1.135800I
a = 0.25441 + 1.94446I
b = 0.00690 − 1.46050I
6.38693 + 1.83428I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.000600 + 0.585201I
a = 1.32389 − 1.27787I
b = 0.06932 + 1.44806I
4.31935 − 3.21172I 0
u = 1.000600 − 0.585201I
a = 1.32389 + 1.27787I
b = 0.06932 − 1.44806I
4.31935 + 3.21172I 0
u = −0.937234 + 0.690886I
a = −1.37031 − 2.60421I
b = −0.066461 + 1.393770I
−1.99693 + 2.71074I 0
u = −0.937234 − 0.690886I
a = −1.37031 + 2.60421I
b = −0.066461 − 1.393770I
−1.99693 − 2.71074I 0
u = 0.812096 + 0.187109I
a = −0.04787 − 3.67334I
b = 0.06270 + 1.56183I
3.67919 − 6.70709I 0
u = 0.812096 − 0.187109I
a = −0.04787 + 3.67334I
b = 0.06270 − 1.56183I
3.67919 + 6.70709I 0
u = −0.829005 + 0.066349I
a = −1.369970 − 0.124550I
b = −1.66040 + 0.95864I
0.498437 + 0.097480I −184.802 + 0.I
u = −0.829005 − 0.066349I
a = −1.369970 + 0.124550I
b = −1.66040 − 0.95864I
0.498437 − 0.097480I −184.802 + 0.I
u = 0.318174 + 1.132600I
a = 0.04738 − 2.15159I
b = −0.24143 + 1.53554I
3.72675 + 12.23680I 0
u = 0.318174 − 1.132600I
a = 0.04738 + 2.15159I
b = −0.24143 − 1.53554I
3.72675 − 12.23680I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.222388 + 0.775919I
a = 0.73054 + 1.92549I
b = 0.087347 − 1.375010I
1.24727 + 3.56284I 0
u = 0.222388 − 0.775919I
a = 0.73054 − 1.92549I
b = 0.087347 + 1.375010I
1.24727 − 3.56284I 0
u = 1.134550 + 0.382624I
a = −0.915642 + 0.347066I
b = −0.576662 − 0.305597I
−3.25311 − 4.39444I 0
u = 1.134550 − 0.382624I
a = −0.915642 − 0.347066I
b = −0.576662 + 0.305597I
−3.25311 + 4.39444I 0
u = −1.159380 + 0.315869I
a = 0.0490977 + 0.1201230I
b = −0.100624 − 1.201120I
−2.96172 − 0.16203I 0
u = −1.159380 − 0.315869I
a = 0.0490977 − 0.1201230I
b = −0.100624 + 1.201120I
−2.96172 + 0.16203I 0
u = −0.479018 + 1.103440I
a = 0.297343 − 0.252162I
b = −0.132709 + 0.061105I
0.79102 + 2.44530I 0
u = −0.479018 − 1.103440I
a = 0.297343 + 0.252162I
b = −0.132709 − 0.061105I
0.79102 − 2.44530I 0
u = −0.711681 + 0.329657I
a = 0.51756 + 2.91327I
b = 0.06856 − 1.56632I
7.95495 + 3.72264I 0. − 10.70451I
u = −0.711681 − 0.329657I
a = 0.51756 − 2.91327I
b = 0.06856 + 1.56632I
7.95495 − 3.72264I 0. + 10.70451I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.409298 + 1.145340I
a = 0.23193 + 2.10725I
b = −0.24019 − 1.51287I
8.48302 − 6.51011I 0
u = −0.409298 − 1.145340I
a = 0.23193 − 2.10725I
b = −0.24019 + 1.51287I
8.48302 + 6.51011I 0
u = −1.129780 + 0.471397I
a = −0.919743 − 0.449485I
b = −0.627097 + 0.134208I
−6.34927 + 5.70832I 0
u = −1.129780 − 0.471397I
a = −0.919743 + 0.449485I
b = −0.627097 − 0.134208I
−6.34927 − 5.70832I 0
u = 0.658946 + 0.378164I
a = 0.250036 + 0.240626I
b = 0.640273 − 0.579391I
−1.38842 + 2.68986I 0
u = 0.658946 − 0.378164I
a = 0.250036 − 0.240626I
b = 0.640273 + 0.579391I
−1.38842 − 2.68986I 0
u = 0.458262 + 0.597731I
a = 0.654853 − 0.467897I
b = 0.386012 + 0.709668I
−2.19670 − 1.87960I 0. + 4.44403I
u = 0.458262 − 0.597731I
a = 0.654853 + 0.467897I
b = 0.386012 − 0.709668I
−2.19670 + 1.87960I 0. − 4.44403I
u = −0.146371 + 0.735428I
a = 0.629678 + 0.135044I
b = −0.200353 − 0.525626I
0.18032 + 2.18521I 5.35102 − 2.23079I
u = −0.146371 − 0.735428I
a = 0.629678 − 0.135044I
b = −0.200353 + 0.525626I
0.18032 − 2.18521I 5.35102 + 2.23079I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.131562 + 0.731311I
a = 0.53826 + 1.50162I
b = −0.633873 − 0.485988I
−3.20346 + 4.20633I −1.42742 − 4.24409I
u = −0.131562 − 0.731311I
a = 0.53826 − 1.50162I
b = −0.633873 + 0.485988I
−3.20346 − 4.20633I −1.42742 + 4.24409I
u = −0.476604 + 0.567281I
a = −0.00364 − 1.54332I
b = 0.19968 + 1.54911I
5.68339 − 5.76173I 4.03620 + 1.96765I
u = −0.476604 − 0.567281I
a = −0.00364 + 1.54332I
b = 0.19968 − 1.54911I
5.68339 + 5.76173I 4.03620 − 1.96765I
u = −1.219270 + 0.331553I
a = 0.106622 + 0.357014I
b = 0.962536 − 0.062103I
−2.78023 + 0.97303I 0
u = −1.219270 − 0.331553I
a = 0.106622 − 0.357014I
b = 0.962536 + 0.062103I
−2.78023 − 0.97303I 0
u = 0.651889 + 0.337481I
a = −0.42475 + 1.61434I
b = 0.16202 − 1.63051I
8.12960 + 1.97140I 4.04397 + 3.29297I
u = 0.651889 − 0.337481I
a = −0.42475 − 1.61434I
b = 0.16202 + 1.63051I
8.12960 − 1.97140I 4.04397 − 3.29297I
u = 0.596740 + 1.116480I
a = 0.62338 − 1.94608I
b = −0.30543 + 1.41182I
5.05717 − 0.14156I 0
u = 0.596740 − 1.116480I
a = 0.62338 + 1.94608I
b = −0.30543 − 1.41182I
5.05717 + 0.14156I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.251670 + 0.248282I
a = −0.942174 − 0.163311I
b = −0.546637 + 0.467593I
−7.24377 + 4.41221I 0
u = −1.251670 − 0.248282I
a = −0.942174 + 0.163311I
b = −0.546637 − 0.467593I
−7.24377 − 4.41221I 0
u = 1.162380 + 0.531161I
a = −1.98603 + 1.00024I
b = −0.172096 − 1.386380I
−1.51459 − 8.43395I 0
u = 1.162380 − 0.531161I
a = −1.98603 − 1.00024I
b = −0.172096 + 1.386380I
−1.51459 + 8.43395I 0
u = 1.207860 + 0.421033I
a = −0.0178337 − 0.0720407I
b = 1.008340 − 0.506746I
−6.96323 − 8.27018I 0
u = 1.207860 − 0.421033I
a = −0.0178337 + 0.0720407I
b = 1.008340 + 0.506746I
−6.96323 + 8.27018I 0
u = −1.189610 + 0.583725I
a = −0.489387 − 0.424237I
b = −0.265791 + 0.205094I
−1.73251 + 3.52502I 0
u = −1.189610 − 0.583725I
a = −0.489387 + 0.424237I
b = −0.265791 − 0.205094I
−1.73251 − 3.52502I 0
u = −1.227660 + 0.501625I
a = −1.55719 − 0.96114I
b = −0.16818 + 1.45759I
2.51802 + 6.99481I 0
u = −1.227660 − 0.501625I
a = −1.55719 + 0.96114I
b = −0.16818 − 1.45759I
2.51802 − 6.99481I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.220020 + 0.537137I
a = 0.55937 + 1.32266I
b = 0.639267 − 0.912827I
−6.20401 + 0.67249I 0
u = −1.220020 − 0.537137I
a = 0.55937 − 1.32266I
b = 0.639267 + 0.912827I
−6.20401 − 0.67249I 0
u = −0.641115 + 0.181165I
a = 2.68375 − 1.34030I
b = −0.151706 − 0.040572I
−2.20245 − 3.80287I 2.77639 − 4.05015I
u = −0.641115 − 0.181165I
a = 2.68375 + 1.34030I
b = −0.151706 + 0.040572I
−2.20245 + 3.80287I 2.77639 + 4.05015I
u = −0.178617 + 0.633748I
a = 0.424577 − 0.096385I
b = 0.544428 + 0.225863I
−3.65130 − 1.45525I −4.73147 + 3.01385I
u = −0.178617 − 0.633748I
a = 0.424577 + 0.096385I
b = 0.544428 − 0.225863I
−3.65130 + 1.45525I −4.73147 − 3.01385I
u = 1.240540 + 0.526594I
a = 0.386316 − 0.877754I
b = 0.932489 + 0.626542I
−1.39198 − 8.45006I 0
u = 1.240540 − 0.526594I
a = 0.386316 + 0.877754I
b = 0.932489 − 0.626542I
−1.39198 + 8.45006I 0
u = 1.342150 + 0.132858I
a = 0.110083 − 0.685341I
b = 0.160826 + 1.248210I
0.74225 − 2.91628I 0
u = 1.342150 − 0.132858I
a = 0.110083 + 0.685341I
b = 0.160826 − 1.248210I
0.74225 + 2.91628I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.260140 + 0.554115I
a = 0.525111 + 0.894267I
b = 0.862357 − 0.634721I
−6.5214 + 14.2956I 0
u = −1.260140 − 0.554115I
a = 0.525111 − 0.894267I
b = 0.862357 + 0.634721I
−6.5214 − 14.2956I 0
u = 1.348730 + 0.318201I
a = 0.068972 − 0.170369I
b = 0.759504 − 0.238728I
−8.13778 + 4.10129I 0
u = 1.348730 − 0.318201I
a = 0.068972 + 0.170369I
b = 0.759504 + 0.238728I
−8.13778 − 4.10129I 0
u = 1.341980 + 0.347451I
a = −1.31337 + 0.64564I
b = −0.16379 − 1.51215I
−0.69437 − 6.95691I 0
u = 1.341980 − 0.347451I
a = −1.31337 − 0.64564I
b = −0.16379 + 1.51215I
−0.69437 + 6.95691I 0
u = 1.215820 + 0.687867I
a = 0.98021 − 1.68467I
b = 0.38806 + 1.55320I
2.80725 − 6.41201I 0
u = 1.215820 − 0.687867I
a = 0.98021 + 1.68467I
b = 0.38806 − 1.55320I
2.80725 + 6.41201I 0
u = 1.325560 + 0.486468I
a = −0.620531 + 0.161435I
b = −0.283598 − 0.388858I
−4.28613 − 6.83274I 0
u = 1.325560 − 0.486468I
a = −0.620531 − 0.161435I
b = −0.283598 + 0.388858I
−4.28613 + 6.83274I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.24621 + 0.67949I
a = 1.21880 + 1.58383I
b = 0.31321 − 1.57749I
5.7485 + 12.9840I 0
u = −1.24621 − 0.67949I
a = 1.21880 − 1.58383I
b = 0.31321 + 1.57749I
5.7485 − 12.9840I 0
u = 1.26837 + 0.66057I
a = 1.33678 − 1.54106I
b = 0.29857 + 1.58276I
0.7099 − 18.5946I 0
u = 1.26837 − 0.66057I
a = 1.33678 + 1.54106I
b = 0.29857 − 1.58276I
0.7099 + 18.5946I 0
u = 0.60781 + 1.34059I
a = −0.11147 + 1.98504I
b = −0.02176 − 1.42990I
5.96691 − 2.85688I 0
u = 0.60781 − 1.34059I
a = −0.11147 − 1.98504I
b = −0.02176 + 1.42990I
5.96691 + 2.85688I 0
u = 1.23071 + 0.81446I
a = −1.03642 + 1.64382I
b = −0.07588 − 1.44304I
3.78807 − 4.69844I 0
u = 1.23071 − 0.81446I
a = −1.03642 − 1.64382I
b = −0.07588 + 1.44304I
3.78807 + 4.69844I 0
u = −1.50987 + 0.09187I
a = −0.014556 − 0.815056I
b = 0.214295 + 1.367810I
−3.12537 − 7.53337I 0
u = −1.50987 − 0.09187I
a = −0.014556 + 0.815056I
b = 0.214295 − 1.367810I
−3.12537 + 7.53337I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.427169 + 0.181956I
a = 2.69543 − 0.61581I
b = −0.240674 + 0.130137I
1.79440 + 0.02427I 7.84012 + 1.45955I
u = 0.427169 − 0.181956I
a = 2.69543 + 0.61581I
b = −0.240674 − 0.130137I
1.79440 − 0.02427I 7.84012 − 1.45955I
u = −1.42925 + 0.64803I
a = −1.01971 − 1.14875I
b = −0.09841 + 1.48811I
1.98063 + 8.26315I 0
u = −1.42925 − 0.64803I
a = −1.01971 + 1.14875I
b = −0.09841 − 1.48811I
1.98063 − 8.26315I 0
u = −0.050278 + 0.411683I
a = 0.550036 + 0.242277I
b = 0.297186 − 0.449903I
−0.135812 + 1.155040I −1.96188 − 5.19114I
u = −0.050278 − 0.411683I
a = 0.550036 − 0.242277I
b = 0.297186 + 0.449903I
−0.135812 − 1.155040I −1.96188 + 5.19114I
17
II.
I
u
2
= h−1.62 × 10
7
u
25
+ 3.02 × 10
7
u
24
+ · · · + 9.24 × 10
5
b − 3.82 × 10
7
, 3.77 ×
10
7
u
25
− 7.65 × 10
7
u
24
+ · · · + 9.24 × 10
5
a + 1.01 × 10
8
, u
26
− u
25
+ · · · − u + 1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−40.7772u
25
+ 82.8296u
24
+ ··· + 258.260u − 109.647
17.5749u
25
− 32.7143u
24
+ ··· − 103.573u + 41.3670
a
9
=
−u
−u
3
+ u
a
4
=
−23.2022u
25
+ 50.1154u
24
+ ··· + 154.688u − 68.2801
17.5749u
25
− 32.7143u
24
+ ··· − 103.573u + 41.3670
a
2
=
42.0013u
25
− 97.8731u
24
+ ··· − 341.143u + 160.014
−4.79559u
25
+ 0.0230584u
24
+ ··· + 18.0952u + 6.60502
a
3
=
−23.2022u
25
+ 49.1154u
24
+ ··· + 153.688u − 67.2801
17.5749u
25
− 32.7143u
24
+ ··· − 103.573u + 41.3670
a
7
=
−66.2314u
25
+ 77.8533u
24
+ ··· + 243.213u − 58.3855
0.592913u
25
− 4.06860u
24
+ ··· − 24.5921u + 16.7433
a
11
=
−27.2660u
25
+ 35.2638u
24
+ ··· + 139.740u − 31.9295
0.268166u
25
+ 5.87467u
24
+ ··· + 23.0432u − 20.7456
a
6
=
67.9432u
25
− 97.9002u
24
+ ··· − 299.466u + 99.3720
−40.8380u
25
+ 63.9847u
24
+ ··· + 160.509u − 48.8588
a
10
=
−25.6943u
25
+ 58.6272u
24
+ ··· + 148.725u − 86.1828
42.2036u
25
− 63.4743u
24
+ ··· − 168.537u + 53.7065
(ii) Obstruction class = 1
(iii) Cusp Shapes =
149866747
923959
u
25
−
337930009
923959
u
24
+ ··· −
651165116
923959
u +
351073846
923959
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 12u
25
+ ··· − 36u + 7
c
2
u
26
− u
25
+ ··· − u + 1
c
3
u
26
+ 2u
25
+ ··· + 10u
2
+ 1
c
4
, c
5
u
26
+ 2u
25
+ ··· + 2u + 1
c
6
u
26
+ 5u
25
+ ··· + 16u + 4
c
7
u
26
+ u
25
+ ··· − 38u + 13
c
8
u
26
+ u
25
+ ··· + u + 1
c
9
u
26
− 5u
25
+ ··· − 16u + 4
c
10
u
26
− u
25
+ ··· + 3u + 1
c
11
u
26
− 2u
25
+ ··· − 2u + 1
c
12
u
26
− u
25
+ ··· − u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
+ 12y
25
+ ··· − 1044y + 49
c
2
y
26
− 7y
25
+ ··· − 7y + 1
c
3
y
26
+ 6y
25
+ ··· + 20y + 1
c
4
, c
5
, c
11
y
26
+ 28y
25
+ ··· − 2y + 1
c
6
, c
9
y
26
+ 19y
25
+ ··· + 48y + 16
c
7
y
26
+ 13y
25
+ ··· + 402y + 169
c
8
, c
12
y
26
− 11y
25
+ ··· − 21y + 1
c
10
y
26
− 3y
25
+ ··· + 77y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.960119 + 0.265758I
a = −0.865721 + 0.373600I
b = −0.084741 + 1.101490I
−4.25818 − 1.08751I −6.83580 + 0.03087I
u = 0.960119 − 0.265758I
a = −0.865721 − 0.373600I
b = −0.084741 − 1.101490I
−4.25818 + 1.08751I −6.83580 − 0.03087I
u = −1.054200 + 0.354405I
a = −0.135482 + 0.199760I
b = −0.470597 − 0.875277I
−1.43501 + 1.97726I −0.64126 − 4.43069I
u = −1.054200 − 0.354405I
a = −0.135482 − 0.199760I
b = −0.470597 + 0.875277I
−1.43501 − 1.97726I −0.64126 + 4.43069I
u = −1.007140 + 0.507041I
a = −1.14054 − 1.37225I
b = −0.208869 + 0.631292I
−5.86020 + 2.09818I −2.54692 − 5.18070I
u = −1.007140 − 0.507041I
a = −1.14054 + 1.37225I
b = −0.208869 − 0.631292I
−5.86020 − 2.09818I −2.54692 + 5.18070I
u = −0.444960 + 1.086040I
a = −0.162395 + 0.208043I
b = 0.237746 − 0.229386I
0.78338 + 2.62725I −0.4991 − 24.3792I
u = −0.444960 − 1.086040I
a = −0.162395 − 0.208043I
b = 0.237746 + 0.229386I
0.78338 − 2.62725I −0.4991 + 24.3792I
u = −0.803695 + 0.076489I
a = 1.395030 + 0.140155I
b = 1.39037 − 0.91387I
0.528666 + 0.091290I 82.3409 + 7.4167I
u = −0.803695 − 0.076489I
a = 1.395030 − 0.140155I
b = 1.39037 + 0.91387I
0.528666 − 0.091290I 82.3409 − 7.4167I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.462571 + 1.101380I
a = −0.47701 + 2.15047I
b = 0.21416 − 1.45525I
4.91648 − 0.52982I 0.63138 + 6.27014I
u = 0.462571 − 1.101380I
a = −0.47701 − 2.15047I
b = 0.21416 + 1.45525I
4.91648 + 0.52982I 0.63138 − 6.27014I
u = 1.201810 + 0.366511I
a = −0.708024 − 0.242130I
b = −0.418255 − 0.082920I
−4.97637 − 6.17880I −6.64629 + 6.66766I
u = 1.201810 − 0.366511I
a = −0.708024 + 0.242130I
b = −0.418255 + 0.082920I
−4.97637 + 6.17880I −6.64629 − 6.66766I
u = 0.608019 + 1.127160I
a = 0.36868 − 1.86104I
b = 0.04734 + 1.50210I
6.89482 − 3.51056I 8.78887 + 6.66749I
u = 0.608019 − 1.127160I
a = 0.36868 + 1.86104I
b = 0.04734 − 1.50210I
6.89482 + 3.51056I 8.78887 − 6.66749I
u = 0.675393 + 0.069978I
a = 1.79298 + 1.77615I
b = 0.417235 − 0.297568I
−2.42704 + 4.22616I −5.58020 − 10.10054I
u = 0.675393 − 0.069978I
a = 1.79298 − 1.77615I
b = 0.417235 + 0.297568I
−2.42704 − 4.22616I −5.58020 + 10.10054I
u = −1.317960 + 0.417827I
a = −1.35617 − 0.48271I
b = −0.12420 + 1.45986I
0.42159 + 7.99851I −0.97759 − 7.43929I
u = −1.317960 − 0.417827I
a = −1.35617 + 0.48271I
b = −0.12420 − 1.45986I
0.42159 − 7.99851I −0.97759 + 7.43929I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.275590 + 0.594910I
a = −1.11717 + 1.27143I
b = −0.22257 − 1.44164I
1.82130 − 5.71135I −1.05320 + 3.00564I
u = 1.275590 − 0.594910I
a = −1.11717 − 1.27143I
b = −0.22257 + 1.44164I
1.82130 + 5.71135I −1.05320 − 3.00564I
u = −0.578294 + 0.025496I
a = 1.87129 − 4.02484I
b = 0.10678 + 1.53450I
4.01860 − 5.98752I 1.67587 + 1.84987I
u = −0.578294 − 0.025496I
a = 1.87129 + 4.02484I
b = 0.10678 − 1.53450I
4.01860 + 5.98752I 1.67587 − 1.84987I
u = 0.522750 + 0.238445I
a = 1.53454 − 2.56686I
b = 0.11560 + 1.56506I
7.79662 − 3.07854I 3.34333 + 0.16527I
u = 0.522750 − 0.238445I
a = 1.53454 + 2.56686I
b = 0.11560 − 1.56506I
7.79662 + 3.07854I 3.34333 − 0.16527I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
− 12u
25
+ ··· − 36u + 7)(u
126
+ 9u
125
+ ··· + 177179u + 46852)
c
2
(u
26
− u
25
+ ··· − u + 1)(u
126
− 4u
125
+ ··· − 21u + 161)
c
3
(u
26
+ 2u
25
+ ··· + 10u
2
+ 1)(u
126
− 3u
125
+ ··· − 1627736u + 491149)
c
4
, c
5
(u
26
+ 2u
25
+ ··· + 2u + 1)(u
126
− u
125
+ ··· − 44u + 1)
c
6
(u
26
+ 5u
25
+ ··· + 16u + 4)(u
126
+ 4u
125
+ ··· + 940u + 28)
c
7
(u
26
+ u
25
+ ··· − 38u + 13)(u
126
+ 11u
124
+ ··· + 20491u + 4508)
c
8
(u
26
+ u
25
+ ··· + u + 1)(u
126
− 2u
125
+ ··· − 3299u + 1231)
c
9
(u
26
− 5u
25
+ ··· − 16u + 4)(u
126
+ 4u
125
+ ··· + 940u + 28)
c
10
(u
26
− u
25
+ ··· + 3u + 1)(u
126
− 6u
125
+ ··· − 21u + 2)
c
11
(u
26
− 2u
25
+ ··· − 2u + 1)(u
126
− u
125
+ ··· − 44u + 1)
c
12
(u
26
− u
25
+ ··· − u + 1)(u
126
− 2u
125
+ ··· − 3299u + 1231)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
26
+ 12y
25
+ ··· − 1044y + 49)
· (y
126
− 3y
125
+ ··· − 81214908545y + 2195109904)
c
2
(y
26
− 7y
25
+ ··· − 7y + 1)(y
126
− 18y
125
+ ··· − 1745037y + 25921)
c
3
(y
26
+ 6y
25
+ ··· + 20y + 1)
· (y
126
+ 43y
125
+ ··· + 11414107688058y + 241227340201)
c
4
, c
5
, c
11
(y
26
+ 28y
25
+ ··· − 2y + 1)(y
126
+ 129y
125
+ ··· − 144y + 1)
c
6
, c
9
(y
26
+ 19y
25
+ ··· + 48y + 16)(y
126
+ 92y
125
+ ··· + 2432y + 784)
c
7
(y
26
+ 13y
25
+ ··· + 402y + 169)
· (y
126
+ 22y
125
+ ··· + 3435910495y + 20322064)
c
8
, c
12
(y
26
− 11y
25
+ ··· − 21y + 1)
· (y
126
− 66y
125
+ ··· − 35934251y + 1515361)
c
10
(y
26
− 3y
25
+ ··· + 77y + 1)(y
126
− 6y
125
+ ··· + 743y + 4)
25
