12n
0783
(K12n
0783
)
A knot diagram
1
Linearized knot diagam
4 6 9 7 3 11 10 3 1 5 4 10
Solving Sequence
3,5 6,8
9 4 2 1 10 11 7 12
c
5
c
8
c
3
c
2
c
1
c
9
c
10
c
7
c
12
c
4
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.05060 × 10
389
u
96
+ 5.72708 × 10
389
u
95
+ ··· + 2.60152 × 10
390
b + 2.75118 × 10
390
,
− 2.62698 × 10
389
u
96
+ 8.51804 × 10
389
u
95
+ ··· + 2.60152 × 10
390
a − 6.09559 × 10
391
,
u
97
− u
96
+ ··· − 26u − 1i
I
u
2
= h2.13340 × 10
23
u
33
+ 3.36277 × 10
23
u
32
+ ··· + 5.15575 × 10
22
b − 2.19695 × 10
23
,
6.92894 × 10
22
u
33
+ 2.64178 × 10
22
u
32
+ ··· + 5.15575 × 10
22
a + 3.17866 × 10
22
, u
34
+ 2u
33
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 131 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−5.05 × 10
389
u
96
+ 5.73 × 10
389
u
95
+ · · · + 2.60 × 10
390
b + 2.75 ×
10
390
, −2.63 × 10
389
u
96
+ 8.52 × 10
389
u
95
+ · · · + 2.60 × 10
390
a − 6.10 ×
10
391
, u
97
− u
96
+ · · · − 26u − 1i
(i) Arc colorings
a
3
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
8
=
0.100978u
96
− 0.327425u
95
+ ··· + 391.203u + 23.4308
0.194140u
96
− 0.220143u
95
+ ··· − 21.0064u − 1.05753
a
9
=
0.100978u
96
− 0.327425u
95
+ ··· + 391.203u + 23.4308
0.220457u
96
− 0.252020u
95
+ ··· − 26.7930u − 1.28397
a
4
=
1.23839u
96
− 1.73803u
95
+ ··· + 326.757u + 15.7854
0.170008u
96
− 0.191437u
95
+ ··· − 15.7017u − 0.857083
a
2
=
u
u
3
+ u
a
1
=
−3.70848u
96
+ 4.83210u
95
+ ··· + 72.9539u + 16.7184
0.211595u
96
− 0.250722u
95
+ ··· − 36.1278u − 1.45422
a
10
=
−3.59279u
96
+ 4.62876u
95
+ ··· − 240.869u − 6.99467
−0.0810977u
96
+ 0.0659827u
95
+ ··· + 3.16747u + 0.177008
a
11
=
−3.51169u
96
+ 4.56278u
95
+ ··· − 244.037u − 7.17168
−0.0810977u
96
+ 0.0659827u
95
+ ··· + 3.16747u + 0.177008
a
7
=
−8.70315u
96
+ 9.85411u
95
+ ··· + 771.754u + 31.4956
0.318091u
96
− 0.370413u
95
+ ··· − 44.5790u − 2.59273
a
12
=
−7.27267u
96
+ 9.07460u
95
+ ··· − 250.054u − 15.9505
−0.429364u
96
+ 0.436517u
95
+ ··· + 57.8522u + 2.72828
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.81068u
96
− 5.73756u
95
+ ··· − 506.753u − 29.0779
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
97
− 11u
96
+ ··· − 374950992u + 77123381
c
2
, c
5
u
97
+ u
96
+ ··· − 26u + 1
c
3
, c
8
u
97
− u
96
+ ··· − 1679u + 193
c
4
u
97
− 5u
96
+ ··· + 2u + 1
c
6
u
97
+ u
96
+ ··· − 51516u + 41391
c
7
u
97
+ 5u
96
+ ··· − 340064u + 80363
c
9
, c
12
u
97
− 6u
96
+ ··· + 369u + 77
c
10
u
97
− u
96
+ ··· − 334u + 5
c
11
u
97
− 3u
96
+ ··· + 1176280393u + 231783103
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
97
+ 19y
96
+ ··· − 39629618873565244y −5948015896871161
c
2
, c
5
y
97
+ 71y
96
+ ··· − 140y −1
c
3
, c
8
y
97
− 33y
96
+ ··· + 1583455y −37249
c
4
y
97
− 3y
96
+ ··· − 282y −1
c
6
y
97
+ 19y
96
+ ··· − 63141732036y −1713214881
c
7
y
97
− 45y
96
+ ··· + 204622080600y −6458211769
c
9
, c
12
y
97
+ 28y
96
+ ··· + 6185y −5929
c
10
y
97
+ 21y
96
+ ··· − 93964y −25
c
11
y
97
− 53y
96
+ ··· + 630230524010700897y −53723406836308609
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.760246 + 0.714813I
a = −0.193608 − 0.566947I
b = −0.731753 + 0.243850I
−3.28969 − 1.97027I 0
u = −0.760246 − 0.714813I
a = −0.193608 + 0.566947I
b = −0.731753 − 0.243850I
−3.28969 + 1.97027I 0
u = −0.657532 + 0.609454I
a = 0.726346 + 0.262206I
b = 0.083124 − 0.807986I
0.47950 + 4.79117I 0
u = −0.657532 − 0.609454I
a = 0.726346 − 0.262206I
b = 0.083124 + 0.807986I
0.47950 − 4.79117I 0
u = 0.685034 + 0.878100I
a = −0.675640 + 0.593394I
b = −1.044380 + 0.432774I
−1.28499 − 4.64287I 0
u = 0.685034 − 0.878100I
a = −0.675640 − 0.593394I
b = −1.044380 − 0.432774I
−1.28499 + 4.64287I 0
u = 0.075161 + 1.114100I
a = 0.416477 − 1.110930I
b = 0.878909 + 0.357543I
−1.86695 + 1.01835I 0
u = 0.075161 − 1.114100I
a = 0.416477 + 1.110930I
b = 0.878909 − 0.357543I
−1.86695 − 1.01835I 0
u = 0.016883 + 0.882984I
a = −0.123207 + 0.633830I
b = −0.588620 − 0.214403I
2.45092 − 1.33246I 0
u = 0.016883 − 0.882984I
a = −0.123207 − 0.633830I
b = −0.588620 + 0.214403I
2.45092 + 1.33246I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.375100 + 1.079430I
a = −1.249720 + 0.232941I
b = −1.68979 − 0.00461I
4.32226 + 1.56783I 0
u = −0.375100 − 1.079430I
a = −1.249720 − 0.232941I
b = −1.68979 + 0.00461I
4.32226 − 1.56783I 0
u = −0.698909 + 0.927947I
a = 0.674038 + 0.385290I
b = 1.170460 − 0.394638I
−2.66934 + 7.52224I 0
u = −0.698909 − 0.927947I
a = 0.674038 − 0.385290I
b = 1.170460 + 0.394638I
−2.66934 − 7.52224I 0
u = −1.192060 + 0.013477I
a = −0.650672 + 0.794722I
b = −0.665573 − 0.387174I
3.36728 + 4.65708I 0
u = −1.192060 − 0.013477I
a = −0.650672 − 0.794722I
b = −0.665573 + 0.387174I
3.36728 − 4.65708I 0
u = −0.143111 + 1.228920I
a = −1.059730 − 0.651904I
b = −2.01954 − 0.49278I
5.83853 + 1.62863I 0
u = −0.143111 − 1.228920I
a = −1.059730 + 0.651904I
b = −2.01954 + 0.49278I
5.83853 − 1.62863I 0
u = 1.048790 + 0.661651I
a = 0.586415 − 0.071737I
b = 0.564556 − 0.082756I
−3.62452 − 0.55595I 0
u = 1.048790 − 0.661651I
a = 0.586415 + 0.071737I
b = 0.564556 + 0.082756I
−3.62452 + 0.55595I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.097511 + 0.747941I
a = 0.158274 + 0.682421I
b = −0.38468 − 1.36361I
3.46378 + 0.60519I 0
u = −0.097511 − 0.747941I
a = 0.158274 − 0.682421I
b = −0.38468 + 1.36361I
3.46378 − 0.60519I 0
u = 0.102907 + 1.241730I
a = −0.024011 − 0.962617I
b = 0.07257 + 1.49033I
0.02293 + 4.98958I 0
u = 0.102907 − 1.241730I
a = −0.024011 + 0.962617I
b = 0.07257 − 1.49033I
0.02293 − 4.98958I 0
u = −0.126641 + 1.242000I
a = −0.305893 − 1.351710I
b = −0.335000 − 0.398209I
−2.02501 + 5.36360I 0
u = −0.126641 − 1.242000I
a = −0.305893 + 1.351710I
b = −0.335000 + 0.398209I
−2.02501 − 5.36360I 0
u = 0.089842 + 1.252000I
a = 0.749715 − 0.687310I
b = 2.12267 − 0.29254I
5.04826 + 1.44747I 0
u = 0.089842 − 1.252000I
a = 0.749715 + 0.687310I
b = 2.12267 + 0.29254I
5.04826 − 1.44747I 0
u = 0.836827 + 0.976492I
a = −0.437313 + 0.429368I
b = −0.337845 + 0.111976I
−2.58166 − 6.15181I 0
u = 0.836827 − 0.976492I
a = −0.437313 − 0.429368I
b = −0.337845 − 0.111976I
−2.58166 + 6.15181I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.157774 + 1.281570I
a = −0.865184 − 0.313827I
b = −2.04324 − 0.43736I
6.05737 − 0.52590I 0
u = −0.157774 − 1.281570I
a = −0.865184 + 0.313827I
b = −2.04324 + 0.43736I
6.05737 + 0.52590I 0
u = −0.299586 + 1.281380I
a = −0.315544 − 0.112531I
b = −1.39447 − 0.51312I
2.64307 − 0.65871I 0
u = −0.299586 − 1.281380I
a = −0.315544 + 0.112531I
b = −1.39447 + 0.51312I
2.64307 + 0.65871I 0
u = 0.088041 + 0.675207I
a = −0.462310 + 0.687813I
b = −0.20410 + 2.84623I
−2.00678 − 5.79597I 0
u = 0.088041 − 0.675207I
a = −0.462310 − 0.687813I
b = −0.20410 − 2.84623I
−2.00678 + 5.79597I 0
u = 0.109003 + 1.318850I
a = 0.636753 − 0.514745I
b = 2.19168 − 0.61999I
6.85780 − 0.45615I 0
u = 0.109003 − 1.318850I
a = 0.636753 + 0.514745I
b = 2.19168 + 0.61999I
6.85780 + 0.45615I 0
u = −0.188162 + 1.317810I
a = −0.945038 − 0.633570I
b = −1.86013 − 0.84259I
5.61056 + 6.55817I 0
u = −0.188162 − 1.317810I
a = −0.945038 + 0.633570I
b = −1.86013 + 0.84259I
5.61056 − 6.55817I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.089708 + 0.659104I
a = 0.625499 + 0.526885I
b = −0.05591 + 1.92916I
−3.26210 − 0.88688I 0
u = −0.089708 − 0.659104I
a = 0.625499 − 0.526885I
b = −0.05591 − 1.92916I
−3.26210 + 0.88688I 0
u = 0.550225 + 0.370829I
a = 1.37374 − 0.59279I
b = 0.316027 + 0.051040I
−2.09843 − 0.04727I 0
u = 0.550225 − 0.370829I
a = 1.37374 + 0.59279I
b = 0.316027 − 0.051040I
−2.09843 + 0.04727I 0
u = −0.123707 + 1.336890I
a = −0.736641 − 0.859650I
b = −1.83600 − 0.87769I
3.96502 + 7.65593I 0
u = −0.123707 − 1.336890I
a = −0.736641 + 0.859650I
b = −1.83600 + 0.87769I
3.96502 − 7.65593I 0
u = 0.216477 + 1.329420I
a = −0.663961 + 0.600756I
b = −1.63036 + 0.66732I
2.91727 − 2.78839I 0
u = 0.216477 − 1.329420I
a = −0.663961 − 0.600756I
b = −1.63036 − 0.66732I
2.91727 + 2.78839I 0
u = 1.351690 + 0.149440I
a = −0.203956 + 0.310315I
b = 0.437082 + 0.252251I
−3.83697 + 0.72522I 0
u = 1.351690 − 0.149440I
a = −0.203956 − 0.310315I
b = 0.437082 − 0.252251I
−3.83697 − 0.72522I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.317800 + 0.362941I
a = 0.632288 − 0.804333I
b = 0.463138 + 0.501894I
2.24710 + 1.96831I 0
u = 1.317800 − 0.362941I
a = 0.632288 + 0.804333I
b = 0.463138 − 0.501894I
2.24710 − 1.96831I 0
u = 0.108809 + 1.380310I
a = 0.548841 − 0.700707I
b = 2.06110 − 0.88847I
5.96593 − 5.15729I 0
u = 0.108809 − 1.380310I
a = 0.548841 + 0.700707I
b = 2.06110 + 0.88847I
5.96593 + 5.15729I 0
u = −0.058707 + 1.388820I
a = −0.174490 − 1.006260I
b = −1.276610 + 0.366071I
−1.80692 + 3.28415I 0
u = −0.058707 − 1.388820I
a = −0.174490 + 1.006260I
b = −1.276610 − 0.366071I
−1.80692 − 3.28415I 0
u = 0.16810 + 1.40583I
a = 0.675284 − 0.576755I
b = 1.79582 − 1.02764I
5.03173 − 7.86661I 0
u = 0.16810 − 1.40583I
a = 0.675284 + 0.576755I
b = 1.79582 + 1.02764I
5.03173 + 7.86661I 0
u = 1.43444 + 0.26314I
a = 0.472803 − 0.783305I
b = 0.696186 + 0.471124I
2.03664 − 3.97359I 0
u = 1.43444 − 0.26314I
a = 0.472803 + 0.783305I
b = 0.696186 − 0.471124I
2.03664 + 3.97359I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45943 + 0.05125I
a = −0.685709 − 0.630236I
b = −0.523142 + 0.444804I
1.51054 − 10.86420I 0
u = −1.45943 − 0.05125I
a = −0.685709 + 0.630236I
b = −0.523142 − 0.444804I
1.51054 + 10.86420I 0
u = 0.37364 + 1.41664I
a = 0.729528 − 0.199140I
b = 1.39487 − 0.69099I
1.08235 − 6.60829I 0
u = 0.37364 − 1.41664I
a = 0.729528 + 0.199140I
b = 1.39487 + 0.69099I
1.08235 + 6.60829I 0
u = 0.481355
a = 0.991896
b = 0.351898
−0.805526 −12.2460
u = −0.60146 + 1.40743I
a = 0.794250 + 0.408001I
b = 2.24049 + 0.20916I
7.73228 + 10.97210I 0
u = −0.60146 − 1.40743I
a = 0.794250 − 0.408001I
b = 2.24049 − 0.20916I
7.73228 − 10.97210I 0
u = −0.149531 + 0.376901I
a = 1.41146 + 2.93327I
b = −0.32258 + 1.89399I
−5.17781 − 4.19929I −10.90113 − 0.12456I
u = −0.149531 − 0.376901I
a = 1.41146 − 2.93327I
b = −0.32258 − 1.89399I
−5.17781 + 4.19929I −10.90113 + 0.12456I
u = 0.25147 + 1.57784I
a = 0.141603 − 0.298107I
b = 0.91858 − 1.23999I
3.03072 − 4.98323I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.25147 − 1.57784I
a = 0.141603 + 0.298107I
b = 0.91858 + 1.23999I
3.03072 + 4.98323I 0
u = −1.59759 + 0.06972I
a = 0.996380 − 0.009892I
b = 2.54720 − 0.22324I
−9.03979 + 1.64363I 0
u = −1.59759 − 0.06972I
a = 0.996380 + 0.009892I
b = 2.54720 + 0.22324I
−9.03979 − 1.64363I 0
u = 0.45623 + 1.54965I
a = 0.661263 + 0.625703I
b = 1.65682 + 0.34057I
8.12848 − 10.41620I 0
u = 0.45623 − 1.54965I
a = 0.661263 − 0.625703I
b = 1.65682 − 0.34057I
8.12848 + 10.41620I 0
u = 0.44230 + 1.55441I
a = 0.452586 + 0.665908I
b = 1.278380 + 0.551581I
8.44819 − 4.12298I 0
u = 0.44230 − 1.55441I
a = 0.452586 − 0.665908I
b = 1.278380 − 0.551581I
8.44819 + 4.12298I 0
u = −0.65013 + 1.49886I
a = 0.807460 + 0.488365I
b = 2.23633 + 0.59408I
6.1711 + 18.1798I 0
u = −0.65013 − 1.49886I
a = 0.807460 − 0.488365I
b = 2.23633 − 0.59408I
6.1711 − 18.1798I 0
u = 0.63068 + 1.52308I
a = −0.758391 + 0.398026I
b = −2.11817 + 0.16340I
6.47295 − 3.67765I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.63068 − 1.52308I
a = −0.758391 − 0.398026I
b = −2.11817 − 0.16340I
6.47295 + 3.67765I 0
u = −0.58827 + 1.56024I
a = −0.589315 + 0.627708I
b = −1.53199 + 0.30757I
8.03425 + 2.10481I 0
u = −0.58827 − 1.56024I
a = −0.589315 − 0.627708I
b = −1.53199 − 0.30757I
8.03425 − 2.10481I 0
u = 0.123709 + 0.284274I
a = −2.26677 + 3.33699I
b = 0.77717 + 1.53806I
−6.10708 − 3.53516I −12.00476 + 5.28845I
u = 0.123709 − 0.284274I
a = −2.26677 − 3.33699I
b = 0.77717 − 1.53806I
−6.10708 + 3.53516I −12.00476 − 5.28845I
u = 0.75356 + 1.51288I
a = −0.804619 + 0.453639I
b = −2.25818 + 0.49879I
5.86495 − 9.79910I 0
u = 0.75356 − 1.51288I
a = −0.804619 − 0.453639I
b = −2.25818 − 0.49879I
5.86495 + 9.79910I 0
u = −0.47940 + 1.70250I
a = −0.440330 + 0.580484I
b = −1.267280 + 0.393537I
7.42104 − 3.34840I 0
u = −0.47940 − 1.70250I
a = −0.440330 − 0.580484I
b = −1.267280 − 0.393537I
7.42104 + 3.34840I 0
u = −0.189640 + 0.098009I
a = 0.70925 + 3.85367I
b = −0.292277 + 0.223053I
2.57773 − 0.05512I −1.71589 − 0.40383I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.189640 − 0.098009I
a = 0.70925 − 3.85367I
b = −0.292277 − 0.223053I
2.57773 + 0.05512I −1.71589 + 0.40383I
u = −0.116702 + 0.159119I
a = 3.84124 − 0.50147I
b = −0.221670 + 0.249623I
1.82024 − 1.89670I 1.201931 − 0.229574I
u = −0.116702 − 0.159119I
a = 3.84124 + 0.50147I
b = −0.221670 − 0.249623I
1.82024 + 1.89670I 1.201931 + 0.229574I
u = −0.154022 + 0.032161I
a = 6.83770 − 2.10703I
b = −0.496860 − 0.127523I
1.16653 + 4.65668I −2.43280 − 9.33729I
u = −0.154022 − 0.032161I
a = 6.83770 + 2.10703I
b = −0.496860 + 0.127523I
1.16653 − 4.65668I −2.43280 + 9.33729I
u = −0.0173862 + 0.1024220I
a = −3.52308 + 11.48830I
b = 0.051053 + 0.372396I
−0.34740 − 6.68586I −6.46362 − 2.73245I
u = −0.0173862 − 0.1024220I
a = −3.52308 − 11.48830I
b = 0.051053 − 0.372396I
−0.34740 + 6.68586I −6.46362 + 2.73245I
14
II.
I
u
2
= h2.13 × 10
23
u
33
+ 3.36 × 10
23
u
32
+ · · · + 5.16 × 10
22
b − 2.20 × 10
23
, 6.93 ×
10
22
u
33
+2.64×10
22
u
32
+· · ·+5.16×10
22
a+3.18×10
22
, u
34
+2u
33
+· · ·+2u+1i
(i) Arc colorings
a
3
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
8
=
−1.34393u
33
− 0.512395u
32
+ ··· − 12.4573u − 0.616527
−4.13790u
33
− 6.52236u
32
+ ··· − 0.400759u + 4.26116
a
9
=
−1.34393u
33
− 0.512395u
32
+ ··· − 12.4573u − 0.616527
−4.66688u
33
− 8.94143u
32
+ ··· − 3.40774u + 2.08571
a
4
=
3.91322u
33
+ 5.67476u
32
+ ··· + 10.3439u − 1.01049
3.38080u
33
+ 4.03573u
32
+ ··· − 3.23725u − 4.68318
a
2
=
u
u
3
+ u
a
1
=
−0.998123u
33
− 3.76851u
32
+ ··· − 13.0608u − 7.33368
−3.14023u
33
− 7.14148u
32
+ ··· + 2.06851u − 1.35532
a
10
=
0.183404u
33
+ 3.57104u
32
+ ··· + 17.6908u + 8.83398
1.35293u
33
+ 3.09393u
32
+ ··· + 7.26986u + 1.08995
a
11
=
−1.16953u
33
+ 0.477111u
32
+ ··· + 10.4209u + 7.74403
1.35293u
33
+ 3.09393u
32
+ ··· + 7.26986u + 1.08995
a
7
=
0.479451u
33
+ 0.899880u
32
+ ··· + 0.218271u + 1.65100
−0.737763u
33
+ 0.147169u
32
+ ··· + 3.72740u + 4.35441
a
12
=
−4.25646u
33
− 8.99857u
32
+ ··· − 9.55558u − 4.30653
−4.51901u
33
− 10.9433u
32
+ ··· − 9.72835u − 4.50904
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1017184417132236160353701
51557483245750741143535
u
33
−
995787018343137723263119
51557483245750741143535
u
32
+ ··· +
357111226906774138183017
10311496649150148228707
u +
1375757102345437926891128
51557483245750741143535
15
(iv) u-Polynomials at the component
16
Crossings u-Polynomials at each crossing
c
1
u
34
− 2u
33
+ ··· − 154u + 121
c
2
u
34
− 2u
33
+ ··· − 2u + 1
c
3
u
34
− 12u
32
+ ··· − 5u + 3
c
4
u
34
− 8u
33
+ ··· + 6u + 1
c
5
u
34
+ 2u
33
+ ··· + 2u + 1
c
6
u
34
− 4u
32
+ ··· + 2u + 3
c
7
u
34
+ 2u
33
+ ··· − 4u + 1
c
8
u
34
− 12u
32
+ ··· + 5u + 3
c
9
u
34
+ 11u
33
+ ··· + 9u + 1
c
10
u
34
− u
32
+ ··· − 4u + 1
c
11
u
34
− 4u
32
+ ··· + 129u + 23
c
12
u
34
− 11u
33
+ ··· − 9u + 1
17
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
− 20y
33
+ ··· + 272976y + 14641
c
2
, c
5
y
34
+ 16y
33
+ ··· + 20y + 1
c
3
, c
8
y
34
− 24y
33
+ ··· − 223y + 9
c
4
y
34
− 10y
33
+ ··· − 2y + 1
c
6
y
34
− 8y
33
+ ··· + 92y + 9
c
7
y
34
− 12y
33
+ ··· + 4y + 1
c
9
, c
12
y
34
+ 13y
33
+ ··· + 19y + 1
c
10
y
34
− 2y
33
+ ··· + 12y + 1
c
11
y
34
− 8y
33
+ ··· + 379y + 529
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.756254 + 0.498379I
a = 0.291993 + 1.006350I
b = 0.547484 − 0.448937I
1.12596 + 2.79841I −3.88515 − 3.26716I
u = −0.756254 − 0.498379I
a = 0.291993 − 1.006350I
b = 0.547484 + 0.448937I
1.12596 − 2.79841I −3.88515 + 3.26716I
u = −0.435989 + 0.782744I
a = 0.153748 + 1.367160I
b = 0.071902 − 0.634116I
1.43402 − 3.72700I −0.10651 + 2.32700I
u = −0.435989 − 0.782744I
a = 0.153748 − 1.367160I
b = 0.071902 + 0.634116I
1.43402 + 3.72700I −0.10651 − 2.32700I
u = 0.430071 + 0.772069I
a = 0.490062 − 1.279420I
b = 0.12190 − 1.45417I
−5.92140 + 2.34582I −9.49668 + 0.89111I
u = 0.430071 − 0.772069I
a = 0.490062 + 1.279420I
b = 0.12190 + 1.45417I
−5.92140 − 2.34582I −9.49668 − 0.89111I
u = 0.328746 + 1.096600I
a = −1.219510 + 0.014615I
b = −1.66375 + 0.10378I
4.50794 − 1.26644I 1.69285 − 7.49476I
u = 0.328746 − 1.096600I
a = −1.219510 − 0.014615I
b = −1.66375 − 0.10378I
4.50794 + 1.26644I 1.69285 + 7.49476I
u = 0.552443 + 1.078510I
a = −0.499404 + 0.919217I
b = −0.410464 − 0.132230I
−4.62883 − 6.29570I −10.32076 + 6.33356I
u = 0.552443 − 1.078510I
a = −0.499404 − 0.919217I
b = −0.410464 + 0.132230I
−4.62883 + 6.29570I −10.32076 − 6.33356I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.099135 + 0.767388I
a = −0.265030 + 0.753392I
b = −0.023014 − 1.044870I
3.71465 + 0.14717I 7.02104 + 1.33544I
u = −0.099135 − 0.767388I
a = −0.265030 − 0.753392I
b = −0.023014 + 1.044870I
3.71465 − 0.14717I 7.02104 − 1.33544I
u = −1.226020 + 0.269619I
a = −0.443645 + 0.087491I
b = 0.164775 + 0.297876I
−4.20431 − 0.12746I −15.3819 + 0.1803I
u = −1.226020 − 0.269619I
a = −0.443645 − 0.087491I
b = 0.164775 − 0.297876I
−4.20431 + 0.12746I −15.3819 − 0.1803I
u = −0.100624 + 1.290350I
a = −0.798065 − 0.469448I
b = −2.03678 − 0.49472I
5.75508 + 0.15243I −0.56414 − 1.40213I
u = −0.100624 − 1.290350I
a = −0.798065 + 0.469448I
b = −2.03678 + 0.49472I
5.75508 − 0.15243I −0.56414 + 1.40213I
u = −0.777021 + 1.045600I
a = 0.358329 + 0.379160I
b = 0.768082 + 0.041829I
−2.15598 + 6.45215I −1.52529 − 11.10251I
u = −0.777021 − 1.045600I
a = 0.358329 − 0.379160I
b = 0.768082 − 0.041829I
−2.15598 − 6.45215I −1.52529 + 11.10251I
u = −0.243737 + 0.629296I
a = −0.70546 − 1.85688I
b = −0.09948 − 1.92864I
−4.95310 + 4.84356I −6.69974 − 10.40063I
u = −0.243737 − 0.629296I
a = −0.70546 + 1.85688I
b = −0.09948 + 1.92864I
−4.95310 − 4.84356I −6.69974 + 10.40063I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.474951 + 0.461413I
a = −1.091470 − 0.544459I
b = −0.50922 + 1.38394I
−4.17076 − 0.66154I −12.42216 − 0.57501I
u = −0.474951 − 0.461413I
a = −1.091470 + 0.544459I
b = −0.50922 − 1.38394I
−4.17076 + 0.66154I −12.42216 + 0.57501I
u = −0.185881 + 1.371650I
a = −0.768578 − 0.655345I
b = −1.86428 − 0.88713I
4.74101 + 6.82710I −2.34073 − 5.29286I
u = −0.185881 − 1.371650I
a = −0.768578 + 0.655345I
b = −1.86428 + 0.88713I
4.74101 − 6.82710I −2.34073 + 5.29286I
u = 0.045359 + 1.399920I
a = −0.104107 + 1.061460I
b = −0.706910 − 0.416082I
−1.41812 − 3.68945I −2.55139 + 6.84171I
u = 0.045359 − 1.399920I
a = −0.104107 − 1.061460I
b = −0.706910 + 0.416082I
−1.41812 + 3.68945I −2.55139 − 6.84171I
u = 0.319867 + 0.495451I
a = −1.73662 + 1.07718I
b = −0.364716 − 0.041620I
−0.21942 − 7.07391I −0.1459 + 15.9069I
u = 0.319867 − 0.495451I
a = −1.73662 − 1.07718I
b = −0.364716 + 0.041620I
−0.21942 + 7.07391I −0.1459 − 15.9069I
u = 0.218399 + 0.418657I
a = 1.05429 − 1.31503I
b = −0.10144 + 2.64886I
−2.58059 − 5.79109I −13.0954 + 6.4835I
u = 0.218399 − 0.418657I
a = 1.05429 + 1.31503I
b = −0.10144 − 2.64886I
−2.58059 + 5.79109I −13.0954 − 6.4835I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.20178 + 1.57049I
a = 0.291877 + 0.331691I
b = 1.08382 + 1.26487I
3.19469 + 5.35634I 0
u = −0.20178 − 1.57049I
a = 0.291877 − 0.331691I
b = 1.08382 − 1.26487I
3.19469 − 5.35634I 0
u = 1.60652 + 0.01615I
a = 0.991589 + 0.027995I
b = 2.52208 + 0.24319I
−9.02524 − 1.72239I 0. + 49.9380I
u = 1.60652 − 0.01615I
a = 0.991589 − 0.027995I
b = 2.52208 − 0.24319I
−9.02524 + 1.72239I 0. − 49.9380I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 2u
33
+ ··· − 154u + 121)
· (u
97
− 11u
96
+ ··· − 374950992u + 77123381)
c
2
(u
34
− 2u
33
+ ··· − 2u + 1)(u
97
+ u
96
+ ··· − 26u + 1)
c
3
(u
34
− 12u
32
+ ··· − 5u + 3)(u
97
− u
96
+ ··· − 1679u + 193)
c
4
(u
34
− 8u
33
+ ··· + 6u + 1)(u
97
− 5u
96
+ ··· + 2u + 1)
c
5
(u
34
+ 2u
33
+ ··· + 2u + 1)(u
97
+ u
96
+ ··· − 26u + 1)
c
6
(u
34
− 4u
32
+ ··· + 2u + 3)(u
97
+ u
96
+ ··· − 51516u + 41391)
c
7
(u
34
+ 2u
33
+ ··· − 4u + 1)(u
97
+ 5u
96
+ ··· − 340064u + 80363)
c
8
(u
34
− 12u
32
+ ··· + 5u + 3)(u
97
− u
96
+ ··· − 1679u + 193)
c
9
(u
34
+ 11u
33
+ ··· + 9u + 1)(u
97
− 6u
96
+ ··· + 369u + 77)
c
10
(u
34
− u
32
+ ··· − 4u + 1)(u
97
− u
96
+ ··· − 334u + 5)
c
11
(u
34
− 4u
32
+ ··· + 129u + 23)
· (u
97
− 3u
96
+ ··· + 1176280393u + 231783103)
c
12
(u
34
− 11u
33
+ ··· − 9u + 1)(u
97
− 6u
96
+ ··· + 369u + 77)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
− 20y
33
+ ··· + 272976y + 14641)
· (y
97
+ 19y
96
+ ··· − 39629618873565244y −5948015896871161)
c
2
, c
5
(y
34
+ 16y
33
+ ··· + 20y + 1)(y
97
+ 71y
96
+ ··· − 140y −1)
c
3
, c
8
(y
34
− 24y
33
+ ··· − 223y + 9)
· (y
97
− 33y
96
+ ··· + 1583455y −37249)
c
4
(y
34
− 10y
33
+ ··· − 2y + 1)(y
97
− 3y
96
+ ··· − 282y −1)
c
6
(y
34
− 8y
33
+ ··· + 92y + 9)
· (y
97
+ 19y
96
+ ··· − 63141732036y −1713214881)
c
7
(y
34
− 12y
33
+ ··· + 4y + 1)
· (y
97
− 45y
96
+ ··· + 204622080600y −6458211769)
c
9
, c
12
(y
34
+ 13y
33
+ ··· + 19y + 1)(y
97
+ 28y
96
+ ··· + 6185y −5929)
c
10
(y
34
− 2y
33
+ ··· + 12y + 1)(y
97
+ 21y
96
+ ··· − 93964y −25)
c
11
(y
34
− 8y
33
+ ··· + 379y + 529)
· (y
97
− 53y
96
+ ··· + 630230524010700897y −53723406836308609)
25
