12a
0968
(K12a
0968
)
A knot diagram
1
Linearized knot diagam
4 6 10 1 9 2 11 12 3 5 8 7
Solving Sequence
3,9
10
4,6
2 7 1 5 11 12 8
c
9
c
3
c
2
c
6
c
1
c
5
c
10
c
12
c
8
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.66735 × 10
500
u
123
− 2.11747 × 10
498
u
122
+ ··· + 1.13618 × 10
500
b + 5.33111 × 10
503
,
− 7.52490 × 10
503
u
123
− 1.24524 × 10
502
u
122
+ ··· + 3.79142 × 10
503
a − 2.44838 × 10
507
,
u
124
+ u
123
+ ··· + 6267u + 3337i
I
u
2
= h146398895u
27
− 49300484u
26
+ ··· + 30684719b + 180392163,
345321576u
27
− 131091679u
26
+ ··· + 30684719a + 749968064, u
28
− 9u
26
+ ··· + 3u + 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
= h1.67 × 10
500
u
123
− 2.12 × 10
498
u
122
+ · · · + 1.14 × 10
500
b + 5.33 ×
10
503
, −7.52 × 10
503
u
123
− 1.25 × 10
502
u
122
+ · · · + 3.79 × 10
503
a − 2.45 ×
10
507
, u
124
+ u
123
+ · · · + 6267u + 3337i
(i) Arc colorings
a
3
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
4
=
−u
−u
3
+ u
a
6
=
1.98472u
123
+ 0.0328437u
122
+ ··· + 5699.24u + 6457.70
−1.46751u
123
+ 0.0186369u
122
+ ··· − 4276.35u − 4692.15
a
2
=
−1.69518u
123
+ 0.130301u
122
+ ··· − 4860.86u − 5060.88
−1.93539u
123
+ 0.0534685u
122
+ ··· − 5542.57u − 6049.77
a
7
=
−0.0614829u
123
− 0.418132u
122
+ ··· − 260.898u − 1428.36
0.509867u
123
− 0.144487u
122
+ ··· + 1458.46u + 1233.81
a
1
=
−3.50486u
123
+ 0.178179u
122
+ ··· − 10051.2u − 10731.9
−2.06520u
123
+ 0.0248781u
122
+ ··· − 5954.65u − 6577.43
a
5
=
0.517208u
123
+ 0.0514805u
122
+ ··· + 1422.89u + 1765.54
−1.46751u
123
+ 0.0186369u
122
+ ··· − 4276.35u − 4692.15
a
11
=
3.37498u
123
− 0.224652u
122
+ ··· + 10242.0u + 10695.4
1.37358u
123
− 0.0868308u
122
+ ··· + 4199.78u + 4397.25
a
12
=
1.98546u
123
− 0.0457094u
122
+ ··· + 5925.96u + 6443.94
−0.589160u
123
+ 0.142648u
122
+ ··· − 1756.81u − 1539.59
a
8
=
−2.96853u
123
− 0.0341607u
122
+ ··· − 8928.85u − 9979.19
−0.253373u
123
− 0.109983u
122
+ ··· − 787.410u − 1204.28
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.783501u
123
− 0.0743194u
122
+ ··· + 2037.91u + 2088.12
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
124
− 6u
123
+ ··· − 1685u + 409
c
2
, c
6
u
124
− 2u
123
+ ··· + 4203615u + 452717
c
3
, c
9
u
124
+ u
123
+ ··· + 6267u + 3337
c
5
u
124
+ 3u
123
+ ··· + 57474466u + 17460809
c
7
, c
8
, c
11
u
124
− 3u
123
+ ··· + 78u + 17
c
10
u
124
− u
123
+ ··· − 4921u + 587
c
12
u
124
+ 9u
123
+ ··· − 252952u − 25823
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
124
+ 72y
123
+ ··· + 9830777y + 167281
c
2
, c
6
y
124
+ 94y
123
+ ··· + 2080269273415y + 204952682089
c
3
, c
9
y
124
− 85y
123
+ ··· − 217417697y + 11135569
c
5
y
124
− 49y
123
+ ··· − 10380445673668428y + 304879850934481
c
7
, c
8
, c
11
y
124
− 113y
123
+ ··· + 8842y + 289
c
10
y
124
− 11y
123
+ ··· − 15729395y + 344569
c
12
y
124
+ 19y
123
+ ··· − 40988713052y + 666827329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.751395 + 0.647947I
a = −0.444423 − 0.851288I
b = 1.43800 − 0.30287I
0.35757 − 2.52458I 0
u = 0.751395 − 0.647947I
a = −0.444423 + 0.851288I
b = 1.43800 + 0.30287I
0.35757 + 2.52458I 0
u = 1.017530 + 0.090414I
a = 0.138485 + 0.982190I
b = 1.20561 − 1.66871I
4.48519 + 0.42117I 0
u = 1.017530 − 0.090414I
a = 0.138485 − 0.982190I
b = 1.20561 + 1.66871I
4.48519 − 0.42117I 0
u = −0.856183 + 0.561569I
a = 0.579030 − 0.243502I
b = −0.717906 − 0.769695I
−0.64210 + 2.71262I 0
u = −0.856183 − 0.561569I
a = 0.579030 + 0.243502I
b = −0.717906 + 0.769695I
−0.64210 − 2.71262I 0
u = −0.379617 + 0.961102I
a = −0.292892 + 0.684607I
b = −0.072348 − 0.810126I
9.86516 + 1.82868I 0
u = −0.379617 − 0.961102I
a = −0.292892 − 0.684607I
b = −0.072348 + 0.810126I
9.86516 − 1.82868I 0
u = −0.686990 + 0.673145I
a = 0.450248 − 1.025700I
b = −1.59802 − 0.06875I
4.72490 + 5.19947I 0
u = −0.686990 − 0.673145I
a = 0.450248 + 1.025700I
b = −1.59802 + 0.06875I
4.72490 − 5.19947I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.801645 + 0.676898I
a = 0.595452 − 0.760437I
b = −1.49274 − 0.58807I
4.44911 − 0.03429I 0
u = −0.801645 − 0.676898I
a = 0.595452 + 0.760437I
b = −1.49274 + 0.58807I
4.44911 + 0.03429I 0
u = −0.183995 + 0.923140I
a = 1.287490 − 0.218341I
b = −0.996040 + 0.273161I
−1.74802 − 1.57494I 0
u = −0.183995 − 0.923140I
a = 1.287490 + 0.218341I
b = −0.996040 − 0.273161I
−1.74802 + 1.57494I 0
u = −1.046320 + 0.166367I
a = 0.060385 + 0.948348I
b = −0.20035 − 2.35004I
3.24681 + 8.29685I 0
u = −1.046320 − 0.166367I
a = 0.060385 − 0.948348I
b = −0.20035 + 2.35004I
3.24681 − 8.29685I 0
u = −1.063870 + 0.099118I
a = −0.42909 − 1.69946I
b = −0.929060 + 0.381333I
−3.04067 + 4.79725I 0
u = −1.063870 − 0.099118I
a = −0.42909 + 1.69946I
b = −0.929060 − 0.381333I
−3.04067 − 4.79725I 0
u = 0.885111 + 0.605177I
a = −0.681560 − 0.390823I
b = 0.940572 − 0.944198I
3.78465 − 5.84346I 0
u = 0.885111 − 0.605177I
a = −0.681560 + 0.390823I
b = 0.940572 + 0.944198I
3.78465 + 5.84346I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.997576 + 0.396495I
a = 0.662400 − 0.603344I
b = 0.888350 + 0.250860I
1.29894 − 3.71169I 0
u = 0.997576 − 0.396495I
a = 0.662400 + 0.603344I
b = 0.888350 − 0.250860I
1.29894 + 3.71169I 0
u = −1.073680 + 0.087462I
a = −0.037092 + 1.086680I
b = −0.60112 − 1.44378I
−1.49679 + 1.67439I 0
u = −1.073680 − 0.087462I
a = −0.037092 − 1.086680I
b = −0.60112 + 1.44378I
−1.49679 − 1.67439I 0
u = 1.085070 + 0.087802I
a = 0.22542 − 1.66536I
b = 0.833203 + 0.405992I
−7.03932 − 0.59794I 0
u = 1.085070 − 0.087802I
a = 0.22542 + 1.66536I
b = 0.833203 − 0.405992I
−7.03932 + 0.59794I 0
u = 1.078720 + 0.151683I
a = −0.059149 + 1.008330I
b = 0.13577 − 1.91283I
−2.21566 − 5.13599I 0
u = 1.078720 − 0.151683I
a = −0.059149 − 1.008330I
b = 0.13577 + 1.91283I
−2.21566 + 5.13599I 0
u = 0.816050 + 0.330070I
a = −0.731451 + 0.044798I
b = 0.183690 − 0.541400I
2.65243 + 0.13673I 0
u = 0.816050 − 0.330070I
a = −0.731451 − 0.044798I
b = 0.183690 + 0.541400I
2.65243 − 0.13673I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.121600 + 0.075195I
a = −0.03111 − 1.58714I
b = −0.679209 + 0.413456I
−3.25272 − 3.53201I 0
u = −1.121600 − 0.075195I
a = −0.03111 + 1.58714I
b = −0.679209 − 0.413456I
−3.25272 + 3.53201I 0
u = 1.078790 + 0.328127I
a = 0.959816 − 0.631273I
b = 0.963005 + 0.378001I
1.16463 − 3.54205I 0
u = 1.078790 − 0.328127I
a = 0.959816 + 0.631273I
b = 0.963005 − 0.378001I
1.16463 + 3.54205I 0
u = −1.13389
a = 0.573544
b = 0.904582
−2.33630 0
u = 0.456626 + 0.702250I
a = −0.149831 + 0.709393I
b = 0.430576 − 0.684536I
3.00312 − 0.38713I 0
u = 0.456626 − 0.702250I
a = −0.149831 − 0.709393I
b = 0.430576 + 0.684536I
3.00312 + 0.38713I 0
u = 0.060198 + 0.827365I
a = −1.49574 − 0.23920I
b = 1.015420 + 0.502709I
−4.81453 − 2.53246I 0
u = 0.060198 − 0.827365I
a = −1.49574 + 0.23920I
b = 1.015420 − 0.502709I
−4.81453 + 2.53246I 0
u = −1.20811
a = 0.450878
b = 1.26931
−2.16439 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.155800 + 0.352764I
a = −1.087770 − 0.415277I
b = −0.936075 + 0.510536I
−1.26636 + 7.34053I 0
u = −1.155800 − 0.352764I
a = −1.087770 + 0.415277I
b = −0.936075 − 0.510536I
−1.26636 − 7.34053I 0
u = 0.024937 + 0.790745I
a = 1.62489 − 0.21735I
b = −1.012460 + 0.682595I
−0.24714 + 6.43951I 0
u = 0.024937 − 0.790745I
a = 1.62489 + 0.21735I
b = −1.012460 − 0.682595I
−0.24714 − 6.43951I 0
u = 1.215660 + 0.123822I
a = −0.551505 + 0.226101I
b = −1.069120 − 0.575509I
−4.29478 − 2.92680I 0
u = 1.215660 − 0.123822I
a = −0.551505 − 0.226101I
b = −1.069120 + 0.575509I
−4.29478 + 2.92680I 0
u = −0.757982 + 0.159362I
a = −0.588970 − 1.182140I
b = −1.167610 + 0.052228I
−0.023464 + 1.133320I 0
u = −0.757982 − 0.159362I
a = −0.588970 + 1.182140I
b = −1.167610 − 0.052228I
−0.023464 − 1.133320I 0
u = 0.033712 + 1.231080I
a = 0.975403 + 0.396561I
b = −1.014710 − 0.615162I
3.73079 − 12.02730I 0
u = 0.033712 − 1.231080I
a = 0.975403 − 0.396561I
b = −1.014710 + 0.615162I
3.73079 + 12.02730I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.766142 + 0.044296I
a = 0.787040 + 1.002180I
b = 1.56690 + 0.24167I
5.29105 − 1.35557I 0
u = 0.766142 − 0.044296I
a = 0.787040 − 1.002180I
b = 1.56690 − 0.24167I
5.29105 + 1.35557I 0
u = −1.218500 + 0.200633I
a = 0.677065 + 0.296816I
b = 0.967920 − 0.786297I
0.59788 + 6.18648I 0
u = −1.218500 − 0.200633I
a = 0.677065 − 0.296816I
b = 0.967920 + 0.786297I
0.59788 − 6.18648I 0
u = −1.209420 + 0.291333I
a = 0.146444 + 1.000370I
b = 1.12628 − 1.36689I
−0.25642 + 4.13332I 0
u = −1.209420 − 0.291333I
a = 0.146444 − 1.000370I
b = 1.12628 + 1.36689I
−0.25642 − 4.13332I 0
u = 1.190710 + 0.364499I
a = 1.130320 − 0.313228I
b = 0.922403 + 0.588108I
3.69884 − 11.19260I 0
u = 1.190710 − 0.364499I
a = 1.130320 + 0.313228I
b = 0.922403 − 0.588108I
3.69884 + 11.19260I 0
u = −0.002259 + 1.248730I
a = −0.972254 + 0.309604I
b = 0.997384 − 0.473808I
−1.72579 + 7.75822I 0
u = −0.002259 − 1.248730I
a = −0.972254 − 0.309604I
b = 0.997384 + 0.473808I
−1.72579 − 7.75822I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.137090 + 0.526599I
a = −0.726318 − 0.134812I
b = −0.575613 + 0.413199I
7.42382 + 3.42825I 0
u = −1.137090 − 0.526599I
a = −0.726318 + 0.134812I
b = −0.575613 − 0.413199I
7.42382 − 3.42825I 0
u = 0.457479 + 0.580364I
a = −0.285439 − 1.349160I
b = 1.176500 + 0.506816I
4.73492 + 1.24675I 0
u = 0.457479 − 0.580364I
a = −0.285439 + 1.349160I
b = 1.176500 − 0.506816I
4.73492 − 1.24675I 0
u = 0.636864 + 0.373962I
a = −0.767069 + 0.192017I
b = 0.428250 − 0.397915I
2.62564 + 0.12831I 0
u = 0.636864 − 0.373962I
a = −0.767069 − 0.192017I
b = 0.428250 + 0.397915I
2.62564 − 0.12831I 0
u = 0.206329 + 0.680251I
a = 0.030600 + 1.250090I
b = 0.625464 − 1.042900I
6.75201 + 7.26759I 7.05707 − 3.65536I
u = 0.206329 − 0.680251I
a = 0.030600 − 1.250090I
b = 0.625464 + 1.042900I
6.75201 − 7.26759I 7.05707 + 3.65536I
u = −0.285517 + 0.647666I
a = 0.147525 + 1.123350I
b = −0.608234 − 0.879743I
1.43374 − 3.53123I 2.85137 + 3.03656I
u = −0.285517 − 0.647666I
a = 0.147525 − 1.123350I
b = −0.608234 + 0.879743I
1.43374 + 3.53123I 2.85137 − 3.03656I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.070948 + 1.297840I
a = 0.920309 + 0.172501I
b = −0.897804 − 0.290185I
0.05682 − 2.88607I 0
u = −0.070948 − 1.297840I
a = 0.920309 − 0.172501I
b = −0.897804 + 0.290185I
0.05682 + 2.88607I 0
u = 1.334520 + 0.068617I
a = −0.441990 + 1.214080I
b = −0.568223 − 0.263963I
−2.50969 − 0.75103I 0
u = 1.334520 − 0.068617I
a = −0.441990 − 1.214080I
b = −0.568223 + 0.263963I
−2.50969 + 0.75103I 0
u = −1.112360 + 0.744367I
a = 0.625337 − 0.848142I
b = −0.866389 + 0.282141I
−2.83939 − 2.00800I 0
u = −1.112360 − 0.744367I
a = 0.625337 + 0.848142I
b = −0.866389 − 0.282141I
−2.83939 + 2.00800I 0
u = 1.270610 + 0.460417I
a = 0.014570 + 1.054440I
b = −1.80312 − 0.93642I
−4.01331 − 11.08650I 0
u = 1.270610 − 0.460417I
a = 0.014570 − 1.054440I
b = −1.80312 + 0.93642I
−4.01331 + 11.08650I 0
u = 1.341590 + 0.186756I
a = −0.376241 + 0.843487I
b = −1.034050 − 0.765858I
−4.84044 − 3.38683I 0
u = 1.341590 − 0.186756I
a = −0.376241 − 0.843487I
b = −1.034050 + 0.765858I
−4.84044 + 3.38683I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.357940 + 0.105503I
a = 0.506873 + 1.133400I
b = 0.819046 − 0.312293I
−6.16606 + 3.84885I 0
u = −1.357940 − 0.105503I
a = 0.506873 − 1.133400I
b = 0.819046 + 0.312293I
−6.16606 − 3.84885I 0
u = −1.364160 + 0.182462I
a = 0.589391 + 0.850107I
b = 1.178040 − 0.633689I
−0.77985 + 1.25276I 0
u = −1.364160 − 0.182462I
a = 0.589391 − 0.850107I
b = 1.178040 + 0.633689I
−0.77985 − 1.25276I 0
u = −1.301470 + 0.453126I
a = −0.036211 + 1.016460I
b = 1.70474 − 0.82638I
−8.92649 + 7.23221I 0
u = −1.301470 − 0.453126I
a = −0.036211 − 1.016460I
b = 1.70474 + 0.82638I
−8.92649 − 7.23221I 0
u = −0.554220 + 0.260693I
a = −1.56349 + 0.78617I
b = −0.842132 + 1.065170I
4.58297 − 6.36736I 4.07483 + 2.80097I
u = −0.554220 − 0.260693I
a = −1.56349 − 0.78617I
b = −0.842132 − 1.065170I
4.58297 + 6.36736I 4.07483 − 2.80097I
u = 1.383100 + 0.121026I
a = −0.583644 + 1.105500I
b = −0.994287 − 0.270684I
−1.82524 − 7.05691I 0
u = 1.383100 − 0.121026I
a = −0.583644 − 1.105500I
b = −0.994287 + 0.270684I
−1.82524 + 7.05691I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.133690 + 0.582214I
a = −0.196827 − 1.277730I
b = 0.397514 + 0.946890I
4.71875 − 3.38023I 6.64414 + 4.35761I
u = 0.133690 − 0.582214I
a = −0.196827 + 1.277730I
b = 0.397514 − 0.946890I
4.71875 + 3.38023I 6.64414 − 4.35761I
u = 1.35446 + 0.43895I
a = 0.063835 + 0.943257I
b = −1.52755 − 0.67883I
−6.42352 − 3.29632I 0
u = 1.35446 − 0.43895I
a = 0.063835 − 0.943257I
b = −1.52755 + 0.67883I
−6.42352 + 3.29632I 0
u = 1.26619 + 0.68789I
a = −0.424259 − 0.922122I
b = 0.968060 + 0.393870I
−7.59267 − 2.73535I 0
u = 1.26619 − 0.68789I
a = −0.424259 + 0.922122I
b = 0.968060 − 0.393870I
−7.59267 + 2.73535I 0
u = −1.35690 + 0.63945I
a = 0.258980 − 0.952187I
b = −1.088830 + 0.546129I
−4.92798 + 7.67664I 0
u = −1.35690 − 0.63945I
a = 0.258980 + 0.952187I
b = −1.088830 − 0.546129I
−4.92798 − 7.67664I 0
u = −1.49910 + 0.13833I
a = 0.084334 + 0.558995I
b = 0.959584 − 0.943950I
0.60089 + 5.40912I 0
u = −1.49910 − 0.13833I
a = 0.084334 − 0.558995I
b = 0.959584 + 0.943950I
0.60089 − 5.40912I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.348423 + 0.344696I
a = 0.30651 − 1.80875I
b = −0.738044 + 0.261750I
0.075407 + 1.227190I −3.47759 − 2.38744I
u = −0.348423 − 0.344696I
a = 0.30651 + 1.80875I
b = −0.738044 − 0.261750I
0.075407 − 1.227190I −3.47759 + 2.38744I
u = −0.245732 + 0.420988I
a = −2.35533 + 0.07608I
b = 0.120310 + 0.922398I
2.71565 − 1.20267I 6.59206 − 0.69470I
u = −0.245732 − 0.420988I
a = −2.35533 − 0.07608I
b = 0.120310 − 0.922398I
2.71565 + 1.20267I 6.59206 + 0.69470I
u = 1.46757 + 0.37527I
a = 0.054024 + 0.768850I
b = −1.146250 − 0.604520I
−5.67762 − 3.18221I 0
u = 1.46757 − 0.37527I
a = 0.054024 − 0.768850I
b = −1.146250 + 0.604520I
−5.67762 + 3.18221I 0
u = 1.40887 + 0.56704I
a = −0.006496 − 1.035880I
b = 1.47110 + 0.84866I
−6.2207 − 14.0648I 0
u = 1.40887 − 0.56704I
a = −0.006496 + 1.035880I
b = 1.47110 − 0.84866I
−6.2207 + 14.0648I 0
u = 0.425497 + 0.223608I
a = 1.97396 + 1.03359I
b = 0.537923 + 0.806925I
−0.39799 + 3.38715I −1.55691 − 0.81056I
u = 0.425497 − 0.223608I
a = 1.97396 − 1.03359I
b = 0.537923 − 0.806925I
−0.39799 − 3.38715I −1.55691 + 0.81056I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41178 + 0.56267I
a = −0.033083 − 1.038470I
b = −1.52929 + 0.91871I
−0.8335 + 18.2721I 0
u = −1.41178 − 0.56267I
a = −0.033083 + 1.038470I
b = −1.52929 − 0.91871I
−0.8335 − 18.2721I 0
u = −1.40594 + 0.57901I
a = 0.061776 − 1.006140I
b = −1.35010 + 0.78793I
−4.30471 + 9.36842I 0
u = −1.40594 − 0.57901I
a = 0.061776 + 1.006140I
b = −1.35010 − 0.78793I
−4.30471 − 9.36842I 0
u = −0.171398 + 0.417225I
a = 0.441467 − 0.987280I
b = −0.365355 + 0.491527I
0.013485 + 0.969511I 0.47383 − 6.63664I
u = −0.171398 − 0.417225I
a = 0.441467 + 0.987280I
b = −0.365355 − 0.491527I
0.013485 − 0.969511I 0.47383 + 6.63664I
u = 1.44817 + 0.59202I
a = −0.047962 − 0.864363I
b = 1.09882 + 0.95237I
3.93753 − 8.26311I 0
u = 1.44817 − 0.59202I
a = −0.047962 + 0.864363I
b = 1.09882 − 0.95237I
3.93753 + 8.26311I 0
u = −1.55722 + 0.47170I
a = −0.181763 + 0.693989I
b = 0.987400 − 0.331427I
−6.90817 − 1.15884I 0
u = −1.55722 − 0.47170I
a = −0.181763 − 0.693989I
b = 0.987400 + 0.331427I
−6.90817 + 1.15884I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.60655 + 0.55341I
a = 0.248893 + 0.624832I
b = −0.822670 − 0.182162I
−1.13787 + 5.17317I 0
u = 1.60655 − 0.55341I
a = 0.248893 − 0.624832I
b = −0.822670 + 0.182162I
−1.13787 − 5.17317I 0
u = 0.20937 + 1.72026I
a = −0.622515 + 0.021296I
b = 0.569919 − 0.121943I
8.74696 + 0.84069I 0
u = 0.20937 − 1.72026I
a = −0.622515 − 0.021296I
b = 0.569919 + 0.121943I
8.74696 − 0.84069I 0
17
II. I
u
2
= h1.46 × 10
8
u
27
− 4.93 × 10
7
u
26
+ · · · + 3.07 × 10
7
b + 1.80 × 10
8
, 3.45 ×
10
8
u
27
−1.31×10
8
u
26
+· · · +3.07×10
7
a+7.50×10
8
, u
28
−9u
26
+· · · +3u +1i
(i) Arc colorings
a
3
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
4
=
−u
−u
3
+ u
a
6
=
−11.2539u
27
+ 4.27221u
26
+ ··· − 12.4949u − 24.4411
−4.77107u
27
+ 1.60668u
26
+ ··· − 1.61175u − 5.87889
a
2
=
13.0249u
27
− 5.87889u
26
+ ··· + 22.1066u + 27.3200
u
27
− 8u
25
+ ··· − 3u
2
+ u
a
7
=
−17.0101u
27
+ 7.02511u
26
+ ··· − 26.1719u − 34.3451
0.0725921u
27
− 0.736357u
26
+ ··· + 3.56278u + 4.27221
a
1
=
16.0975u
27
− 6.61525u
26
+ ··· + 23.6694u + 31.5922
−0.889267u
27
+ 0.665879u
26
+ ··· − 1.42630u − 3.53586
a
5
=
−16.0249u
27
+ 5.87889u
26
+ ··· − 14.1066u − 30.3200
−4.77107u
27
+ 1.60668u
26
+ ··· − 1.61175u − 5.87889
a
11
=
−9.02511u
27
+ 4.98515u
26
+ ··· − 23.6851u − 20.0101
−3.14622u
27
+ 2.21408u
26
+ ··· − 11.9303u − 6.98515
a
12
=
22.8693u
27
− 10.1887u
26
+ ··· + 36.2949u + 48.0696
3.15094u
27
− 2.29070u
26
+ ··· + 8.78983u + 4.18205
a
8
=
−24.3646u
27
+ 9.92910u
26
+ ··· − 39.7992u − 53.9924
−1.79635u
27
− 0.301914u
26
+ ··· + 0.124577u − 1.57907
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
404592713
30684719
u
27
+
218851799
30684719
u
26
+ ··· −
1075399250
30684719
u −
1160614009
30684719
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 5u
27
+ ··· + u + 1
c
2
u
28
− u
27
+ ··· + 5u + 1
c
3
u
28
− 9u
26
+ ··· − 3u + 1
c
4
u
28
+ 5u
27
+ ··· − u + 1
c
5
u
28
+ 4u
27
+ ··· + 2u + 1
c
6
u
28
+ u
27
+ ··· − 5u + 1
c
7
, c
8
u
28
− 2u
27
+ ··· + 2u + 1
c
9
u
28
− 9u
26
+ ··· + 3u + 1
c
10
u
28
− 2u
26
+ ··· − 3u + 1
c
11
u
28
+ 2u
27
+ ··· − 2u + 1
c
12
u
28
− 6u
27
+ ··· − 4u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
28
+ 23y
27
+ ··· + 25y + 1
c
2
, c
6
y
28
+ 25y
27
+ ··· + 23y + 1
c
3
, c
9
y
28
− 18y
27
+ ··· − 21y + 1
c
5
y
28
− 6y
27
+ ··· − 16y + 1
c
7
, c
8
, c
11
y
28
− 30y
27
+ ··· + 10y + 1
c
10
y
28
− 4y
27
+ ··· + 17y + 1
c
12
y
28
− 6y
27
+ ··· + 4y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.806829 + 0.504212I
a = 0.196665 − 0.675656I
b = −1.315650 − 0.487350I
0.93521 + 2.14891I 5.36900 + 0.24553I
u = −0.806829 − 0.504212I
a = 0.196665 + 0.675656I
b = −1.315650 + 0.487350I
0.93521 − 2.14891I 5.36900 − 0.24553I
u = 0.969397 + 0.536667I
a = −0.215188 − 0.550510I
b = 1.54002 + 0.07648I
5.02084 − 3.66202I 3.39637 + 2.53321I
u = 0.969397 − 0.536667I
a = −0.215188 + 0.550510I
b = 1.54002 − 0.07648I
5.02084 + 3.66202I 3.39637 − 2.53321I
u = 0.802840 + 0.377635I
a = −0.050134 − 0.678040I
b = 1.53222 − 1.07968I
5.84916 − 0.09120I 8.21534 + 2.60779I
u = 0.802840 − 0.377635I
a = −0.050134 + 0.678040I
b = 1.53222 + 1.07968I
5.84916 + 0.09120I 8.21534 − 2.60779I
u = 1.126170 + 0.486144I
a = 0.488450 + 1.170240I
b = −0.655980 − 0.296538I
−2.31204 + 2.54594I 2.65405 − 2.18906I
u = 1.126170 − 0.486144I
a = 0.488450 − 1.170240I
b = −0.655980 + 0.296538I
−2.31204 − 2.54594I 2.65405 + 2.18906I
u = 1.214100 + 0.234357I
a = −0.25170 + 1.41863I
b = −0.880323 − 0.435283I
−3.37961 − 5.76968I −3.40786 + 7.37327I
u = 1.214100 − 0.234357I
a = −0.25170 − 1.41863I
b = −0.880323 + 0.435283I
−3.37961 + 5.76968I −3.40786 − 7.37327I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.215000 + 0.343977I
a = −0.106721 + 1.294370I
b = 0.748421 − 0.396151I
−6.79383 + 1.77431I −4.04218 − 2.08021I
u = −1.215000 − 0.343977I
a = −0.106721 − 1.294370I
b = 0.748421 + 0.396151I
−6.79383 − 1.77431I −4.04218 + 2.08021I
u = −0.671326 + 0.235199I
a = −0.279107 − 0.888529I
b = −0.27708 − 1.54948I
4.47508 + 7.70400I 4.11456 − 7.62956I
u = −0.671326 − 0.235199I
a = −0.279107 + 0.888529I
b = −0.27708 + 1.54948I
4.47508 − 7.70400I 4.11456 + 7.62956I
u = −1.290560 + 0.101916I
a = 0.601581 + 0.891797I
b = 1.090060 − 0.738610I
−1.41103 + 2.12823I −2.42660 − 4.65983I
u = −1.290560 − 0.101916I
a = 0.601581 − 0.891797I
b = 1.090060 + 0.738610I
−1.41103 − 2.12823I −2.42660 + 4.65983I
u = −0.157515 + 0.625458I
a = 1.20007 − 0.84368I
b = −0.440347 − 0.223426I
1.10455 + 1.45223I 3.50142 − 1.73573I
u = −0.157515 − 0.625458I
a = 1.20007 + 0.84368I
b = −0.440347 + 0.223426I
1.10455 − 1.45223I 3.50142 + 1.73573I
u = 0.590815 + 0.243283I
a = 0.262344 − 1.134000I
b = 0.175686 − 1.107600I
−0.58696 − 4.37855I −2.22528 + 8.16724I
u = 0.590815 − 0.243283I
a = 0.262344 + 1.134000I
b = 0.175686 + 1.107600I
−0.58696 + 4.37855I −2.22528 − 8.16724I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.373270 + 0.128981I
a = −0.361022 + 0.835361I
b = −0.835644 − 0.819872I
−4.64030 − 3.93989I −1.72189 + 10.29250I
u = 1.373270 − 0.128981I
a = −0.361022 − 0.835361I
b = −0.835644 + 0.819872I
−4.64030 + 3.93989I −1.72189 − 10.29250I
u = −1.47604 + 0.05254I
a = 0.276643 + 0.664043I
b = 0.588292 − 1.013640I
0.86367 + 6.40097I 1.80276 − 8.11267I
u = −1.47604 − 0.05254I
a = 0.276643 − 0.664043I
b = 0.588292 + 1.013640I
0.86367 − 6.40097I 1.80276 + 8.11267I
u = −0.447361 + 0.046870I
a = −1.14346 − 1.80045I
b = 0.286806 − 0.508445I
1.86504 + 1.51757I −1.99627 − 3.02328I
u = −0.447361 − 0.046870I
a = −1.14346 + 1.80045I
b = 0.286806 + 0.508445I
1.86504 − 1.51757I −1.99627 + 3.02328I
u = −0.01196 + 1.60518I
a = −0.618419 − 0.082608I
b = 0.443517 − 0.064100I
8.87983 − 0.55549I 6.26659 − 8.21924I
u = −0.01196 − 1.60518I
a = −0.618419 + 0.082608I
b = 0.443517 + 0.064100I
8.87983 + 0.55549I 6.26659 + 8.21924I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 5u
27
+ ··· + u + 1)(u
124
− 6u
123
+ ··· − 1685u + 409)
c
2
(u
28
− u
27
+ ··· + 5u + 1)(u
124
− 2u
123
+ ··· + 4203615u + 452717)
c
3
(u
28
− 9u
26
+ ··· − 3u + 1)(u
124
+ u
123
+ ··· + 6267u + 3337)
c
4
(u
28
+ 5u
27
+ ··· − u + 1)(u
124
− 6u
123
+ ··· − 1685u + 409)
c
5
(u
28
+ 4u
27
+ ··· + 2u + 1)
· (u
124
+ 3u
123
+ ··· + 57474466u + 17460809)
c
6
(u
28
+ u
27
+ ··· − 5u + 1)(u
124
− 2u
123
+ ··· + 4203615u + 452717)
c
7
, c
8
(u
28
− 2u
27
+ ··· + 2u + 1)(u
124
− 3u
123
+ ··· + 78u + 17)
c
9
(u
28
− 9u
26
+ ··· + 3u + 1)(u
124
+ u
123
+ ··· + 6267u + 3337)
c
10
(u
28
− 2u
26
+ ··· − 3u + 1)(u
124
− u
123
+ ··· − 4921u + 587)
c
11
(u
28
+ 2u
27
+ ··· − 2u + 1)(u
124
− 3u
123
+ ··· + 78u + 17)
c
12
(u
28
− 6u
27
+ ··· − 4u + 1)(u
124
+ 9u
123
+ ··· − 252952u − 25823)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
28
+ 23y
27
+ ··· + 25y + 1)
· (y
124
+ 72y
123
+ ··· + 9830777y + 167281)
c
2
, c
6
(y
28
+ 25y
27
+ ··· + 23y + 1)
· (y
124
+ 94y
123
+ ··· + 2080269273415y + 204952682089)
c
3
, c
9
(y
28
− 18y
27
+ ··· − 21y + 1)
· (y
124
− 85y
123
+ ··· − 217417697y + 11135569)
c
5
(y
28
− 6y
27
+ ··· − 16y + 1)
· (y
124
− 49y
123
+ ··· − 10380445673668428y + 304879850934481)
c
7
, c
8
, c
11
(y
28
− 30y
27
+ ··· + 10y + 1)(y
124
− 113y
123
+ ··· + 8842y + 289)
c
10
(y
28
− 4y
27
+ ··· + 17y + 1)
· (y
124
− 11y
123
+ ··· − 15729395y + 344569)
c
12
(y
28
− 6y
27
+ ··· + 4y + 1)
· (y
124
+ 19y
123
+ ··· − 40988713052y + 666827329)
25
