12a
0901
(K12a
0901
)
A knot diagram
1
Linearized knot diagam
4 6 8 10 3 11 2 12 1 7 5 9
Solving Sequence
6,11 3,7
2 8 5 12 9 10 4 1
c
6
c
2
c
7
c
5
c
11
c
8
c
10
c
4
c
1
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.80223 × 10
659
u
147
+ 7.88927 × 10
658
u
146
+ ··· + 2.16053 × 10
660
b + 7.13368 × 10
662
,
6.57936 × 10
661
u
147
− 2.69304 × 10
662
u
146
+ ··· + 3.71827 × 10
663
a − 6.79021 × 10
665
,
u
148
+ u
147
+ ··· − 6495u + 1721i
I
u
2
= h−9.31264 × 10
23
u
36
+ 1.92347 × 10
24
u
35
+ ··· + 9.65197 × 10
22
b + 1.26463 × 10
23
,
1.43280 × 10
22
u
36
− 2.47582 × 10
22
u
35
+ ··· + 1.08449 × 10
21
a + 6.16688 × 10
21
, u
37
− 2u
36
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 185 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−1.80 × 10
659
u
147
+ 7.89 × 10
658
u
146
+ · · · + 2.16 × 10
660
b + 7.13 ×
10
662
, 6.58 × 10
661
u
147
− 2.69 × 10
662
u
146
+ · · · + 3.72 × 10
663
a − 6.79 ×
10
665
, u
148
+ u
147
+ · · · − 6495u + 1721i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−0.0176947u
147
+ 0.0724273u
146
+ ··· − 739.713u + 182.618
0.0834164u
147
− 0.0365155u
146
+ ··· + 1469.93u − 330.182
a
7
=
1
−u
2
a
2
=
0.0657217u
147
+ 0.0359118u
146
+ ··· + 730.221u − 147.565
0.0834164u
147
− 0.0365155u
146
+ ··· + 1469.93u − 330.182
a
8
=
−0.167819u
147
− 0.0717975u
146
+ ··· − 1138.17u + 149.328
0.0645371u
147
+ 0.0948585u
146
+ ··· − 144.196u + 109.063
a
5
=
0.200183u
147
+ 0.155669u
146
+ ··· + 1087.71u − 96.3337
0.118155u
147
− 0.0337847u
146
+ ··· + 1968.03u − 447.161
a
12
=
0.0143625u
147
− 0.0354754u
146
+ ··· + 556.773u − 175.302
0.149382u
147
+ 0.188926u
146
+ ··· + 345.006u + 29.2898
a
9
=
0.188215u
147
+ 0.109692u
146
+ ··· + 1921.96u − 364.047
0.0686318u
147
+ 0.260485u
146
+ ··· − 1563.94u + 503.517
a
10
=
−u
u
3
+ u
a
4
=
0.334417u
147
+ 0.195378u
146
+ ··· + 2524.10u − 375.552
0.0677481u
147
− 0.0426861u
146
+ ··· + 1376.60u − 330.620
a
1
=
−0.288356u
147
− 0.308685u
146
+ ··· − 861.573u − 42.3570
0.109464u
147
− 0.0239180u
146
+ ··· + 1782.76u − 397.651
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.133986u
147
+ 0.651620u
146
+ ··· − 4898.94u + 1490.55
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
148
− 10u
147
+ ··· + 297636u + 230161
c
2
, c
5
u
148
+ 8u
147
+ ··· + 10382u − 651
c
3
u
148
− 2u
147
+ ··· − 127745u − 3703
c
4
u
148
− u
147
+ ··· − 634458u + 118991
c
6
, c
10
u
148
+ u
147
+ ··· − 6495u + 1721
c
7
u
148
+ 8u
147
+ ··· + 435567u − 34657
c
8
, c
9
, c
12
u
148
− 4u
147
+ ··· + u − 3
c
11
u
148
+ u
147
+ ··· − 5763627u + 246787
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
148
+ 32y
147
+ ··· − 198487685030y + 52974085921
c
2
, c
5
y
148
+ 82y
147
+ ··· − 3620716y + 423801
c
3
y
148
+ 46y
147
+ ··· − 8748186675y + 13712209
c
4
y
148
− 23y
147
+ ··· − 475017227648y + 14158858081
c
6
, c
10
y
148
+ 79y
147
+ ··· + 91860223y + 2961841
c
7
y
148
− 2y
147
+ ··· + 94156598255y + 1201107649
c
8
, c
9
, c
12
y
148
− 148y
147
+ ··· + 59y + 9
c
11
y
148
− 17y
147
+ ··· − 5010577456011y + 60903823369
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.327460 + 0.945815I
a = −0.424503 − 0.934062I
b = −1.249480 − 0.056347I
0.09824 + 2.48499I 0
u = 0.327460 − 0.945815I
a = −0.424503 + 0.934062I
b = −1.249480 + 0.056347I
0.09824 − 2.48499I 0
u = −0.094013 + 0.985581I
a = −0.571976 − 0.332766I
b = −1.33432 + 0.60637I
0.339153 + 1.231260I 0
u = −0.094013 − 0.985581I
a = −0.571976 + 0.332766I
b = −1.33432 − 0.60637I
0.339153 − 1.231260I 0
u = 0.589433 + 0.782592I
a = 1.29592 + 0.96263I
b = 0.600291 − 0.988967I
2.86588 + 3.78944I 0
u = 0.589433 − 0.782592I
a = 1.29592 − 0.96263I
b = 0.600291 + 0.988967I
2.86588 − 3.78944I 0
u = −0.278249 + 0.983136I
a = −0.217765 + 0.534064I
b = −1.262320 + 0.324588I
−4.02629 − 0.91346I 0
u = −0.278249 − 0.983136I
a = −0.217765 − 0.534064I
b = −1.262320 − 0.324588I
−4.02629 + 0.91346I 0
u = −0.487982 + 0.836232I
a = 1.36847 − 0.69366I
b = 0.444592 + 1.147830I
3.74967 + 0.43326I 0
u = −0.487982 − 0.836232I
a = 1.36847 + 0.69366I
b = 0.444592 − 1.147830I
3.74967 − 0.43326I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.164652 + 1.026380I
a = −0.361772 + 0.085181I
b = −1.289270 − 0.367995I
−4.07475 + 0.43112I 0
u = 0.164652 − 1.026380I
a = −0.361772 − 0.085181I
b = −1.289270 + 0.367995I
−4.07475 − 0.43112I 0
u = 0.295084 + 1.004880I
a = 0.154047 − 0.527586I
b = −1.34334 − 0.54776I
0.067072 − 0.445090I 0
u = 0.295084 − 1.004880I
a = 0.154047 + 0.527586I
b = −1.34334 + 0.54776I
0.067072 + 0.445090I 0
u = 0.384958 + 0.973999I
a = 0.708825 + 0.134760I
b = −0.542792 − 0.945498I
3.40456 − 2.60781I 0
u = 0.384958 − 0.973999I
a = 0.708825 − 0.134760I
b = −0.542792 + 0.945498I
3.40456 + 2.60781I 0
u = 0.641730 + 0.703519I
a = −0.051852 − 0.878032I
b = 0.301283 + 1.169620I
3.08692 + 1.00320I 0
u = 0.641730 − 0.703519I
a = −0.051852 + 0.878032I
b = 0.301283 − 1.169620I
3.08692 − 1.00320I 0
u = −0.910928 + 0.260198I
a = 0.58412 + 1.57362I
b = −0.310722 − 1.237560I
8.43877 − 3.99877I 0
u = −0.910928 − 0.260198I
a = 0.58412 − 1.57362I
b = −0.310722 + 1.237560I
8.43877 + 3.99877I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.360455 + 0.992408I
a = −2.39258 − 0.57626I
b = −0.214584 + 1.208210I
9.44112 + 7.46951I 0
u = 0.360455 − 0.992408I
a = −2.39258 + 0.57626I
b = −0.214584 − 1.208210I
9.44112 − 7.46951I 0
u = 0.940800 + 0.531582I
a = −0.07235 − 1.69572I
b = −0.096258 + 0.659335I
1.42971 + 0.62135I 0
u = 0.940800 − 0.531582I
a = −0.07235 + 1.69572I
b = −0.096258 − 0.659335I
1.42971 − 0.62135I 0
u = 0.436596 + 0.808160I
a = 1.53151 + 0.60269I
b = 0.486679 − 1.327630I
10.41880 − 3.18813I 0
u = 0.436596 − 0.808160I
a = 1.53151 − 0.60269I
b = 0.486679 + 1.327630I
10.41880 + 3.18813I 0
u = −0.633780 + 0.895314I
a = −0.168635 + 0.729388I
b = 0.552232 − 1.237510I
8.08822 + 3.02099I 0
u = −0.633780 − 0.895314I
a = −0.168635 − 0.729388I
b = 0.552232 + 1.237510I
8.08822 − 3.02099I 0
u = 0.376727 + 0.816834I
a = −0.442021 − 1.032740I
b = 0.20958 + 1.69246I
10.46090 + 6.68852I 0
u = 0.376727 − 0.816834I
a = −0.442021 + 1.032740I
b = 0.20958 − 1.69246I
10.46090 − 6.68852I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.357345 + 1.062200I
a = 0.300376 − 0.114141I
b = −0.710634 + 0.548246I
−2.16423 + 0.32704I 0
u = −0.357345 − 1.062200I
a = 0.300376 + 0.114141I
b = −0.710634 − 0.548246I
−2.16423 − 0.32704I 0
u = −0.558380 + 0.676481I
a = 1.49050 − 1.15744I
b = 0.754469 + 1.006200I
8.72604 − 7.73878I 0
u = −0.558380 − 0.676481I
a = 1.49050 + 1.15744I
b = 0.754469 − 1.006200I
8.72604 + 7.73878I 0
u = −0.568964 + 0.974866I
a = 1.072640 − 0.334460I
b = 0.101197 + 0.386061I
5.08559 − 2.03296I 0
u = −0.568964 − 0.974866I
a = 1.072640 + 0.334460I
b = 0.101197 − 0.386061I
5.08559 + 2.03296I 0
u = −0.173815 + 1.115360I
a = −0.135469 − 0.135598I
b = −1.351720 + 0.094448I
−0.35342 − 1.74728I 0
u = −0.173815 − 1.115360I
a = −0.135469 + 0.135598I
b = −1.351720 − 0.094448I
−0.35342 + 1.74728I 0
u = 1.064050 + 0.382095I
a = 0.510064 + 1.269440I
b = −0.229169 − 1.050720I
3.47846 − 0.61329I 0
u = 1.064050 − 0.382095I
a = 0.510064 − 1.269440I
b = −0.229169 + 1.050720I
3.47846 + 0.61329I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.318147 + 1.091070I
a = 1.46398 − 2.21000I
b = 0.301222 + 1.133490I
5.33680 − 9.02823I 0
u = −0.318147 − 1.091070I
a = 1.46398 + 2.21000I
b = 0.301222 − 1.133490I
5.33680 + 9.02823I 0
u = −0.718234 + 0.473069I
a = 0.595603 + 1.039350I
b = −0.200419 − 0.919433I
6.50030 − 2.96119I 0
u = −0.718234 − 0.473069I
a = 0.595603 − 1.039350I
b = −0.200419 + 0.919433I
6.50030 + 2.96119I 0
u = −0.719010 + 0.915478I
a = −0.49043 + 1.55291I
b = −0.544669 − 0.802096I
−1.52231 − 4.49225I 0
u = −0.719010 − 0.915478I
a = −0.49043 − 1.55291I
b = −0.544669 + 0.802096I
−1.52231 + 4.49225I 0
u = −0.335656 + 1.123070I
a = −1.344090 + 0.111000I
b = −0.451364 − 1.029490I
1.63448 − 5.80737I 0
u = −0.335656 − 1.123070I
a = −1.344090 − 0.111000I
b = −0.451364 + 1.029490I
1.63448 + 5.80737I 0
u = −0.780347 + 0.258301I
a = −0.174151 − 0.093894I
b = 0.576219 − 0.423570I
7.67165 − 2.75491I 0
u = −0.780347 − 0.258301I
a = −0.174151 + 0.093894I
b = 0.576219 + 0.423570I
7.67165 + 2.75491I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.393547 + 0.719286I
a = −0.300635 + 1.131760I
b = 0.10246 − 1.50238I
4.18235 − 4.24537I 0
u = −0.393547 − 0.719286I
a = −0.300635 − 1.131760I
b = 0.10246 + 1.50238I
4.18235 + 4.24537I 0
u = 0.590425 + 1.044130I
a = 1.252360 + 0.628263I
b = 0.010855 − 0.799871I
0.87555 + 2.04621I 0
u = 0.590425 − 1.044130I
a = 1.252360 − 0.628263I
b = 0.010855 + 0.799871I
0.87555 − 2.04621I 0
u = 0.526263 + 1.081270I
a = −1.25471 − 1.49272I
b = −0.64364 + 1.43335I
4.53118 + 9.23551I 0
u = 0.526263 − 1.081270I
a = −1.25471 + 1.49272I
b = −0.64364 − 1.43335I
4.53118 − 9.23551I 0
u = −0.525398 + 1.087220I
a = 0.588882 − 0.404454I
b = 0.655780 + 0.206219I
5.25910 − 2.05258I 0
u = −0.525398 − 1.087220I
a = 0.588882 + 0.404454I
b = 0.655780 − 0.206219I
5.25910 + 2.05258I 0
u = 0.292585 + 1.172050I
a = −0.104214 + 0.264164I
b = −0.653158 + 0.099797I
−2.60676 + 2.72781I 0
u = 0.292585 − 1.172050I
a = −0.104214 − 0.264164I
b = −0.653158 − 0.099797I
−2.60676 − 2.72781I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.594469 + 1.060700I
a = −0.68109 − 1.55271I
b = −0.817323 + 1.111410I
2.11853 + 6.93365I 0
u = 0.594469 − 1.060700I
a = −0.68109 + 1.55271I
b = −0.817323 − 1.111410I
2.11853 − 6.93365I 0
u = 0.748993 + 0.225229I
a = 0.49779 − 1.47171I
b = −0.255696 + 1.182540I
3.01720 + 2.97402I 0
u = 0.748993 − 0.225229I
a = 0.49779 + 1.47171I
b = −0.255696 − 1.182540I
3.01720 − 2.97402I 0
u = 0.015886 + 0.779672I
a = −1.90353 + 1.32864I
b = −0.457359 − 0.987780I
−0.40292 − 1.42468I 0
u = 0.015886 − 0.779672I
a = −1.90353 − 1.32864I
b = −0.457359 + 0.987780I
−0.40292 + 1.42468I 0
u = 0.062642 + 0.776437I
a = −0.98493 − 1.47482I
b = −0.49763 + 1.36575I
4.65483 + 4.54755I 0
u = 0.062642 − 0.776437I
a = −0.98493 + 1.47482I
b = −0.49763 − 1.36575I
4.65483 − 4.54755I 0
u = −0.702892 + 0.324643I
a = 0.78615 − 1.56821I
b = −0.387739 + 1.183010I
1.63395 + 2.90406I 0
u = −0.702892 − 0.324643I
a = 0.78615 + 1.56821I
b = −0.387739 − 1.183010I
1.63395 − 2.90406I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.199260 + 0.307222I
a = −0.35222 − 1.40815I
b = 0.487810 + 1.239100I
10.3367 − 12.9066I 0
u = 1.199260 − 0.307222I
a = −0.35222 + 1.40815I
b = 0.487810 − 1.239100I
10.3367 + 12.9066I 0
u = −0.541171 + 1.116880I
a = −1.00170 + 1.35768I
b = −0.67164 − 1.32051I
−0.67947 − 7.67175I 0
u = −0.541171 − 1.116880I
a = −1.00170 − 1.35768I
b = −0.67164 + 1.32051I
−0.67947 + 7.67175I 0
u = 0.750165 + 0.101025I
a = −0.444685 + 1.193580I
b = 0.813556 − 0.022695I
6.75490 − 8.13829I 0
u = 0.750165 − 0.101025I
a = −0.444685 − 1.193580I
b = 0.813556 + 0.022695I
6.75490 + 8.13829I 0
u = −0.324448 + 1.200440I
a = −0.717199 + 0.180414I
b = −0.705577 − 0.928721I
1.79424 − 5.77597I 0
u = −0.324448 − 1.200440I
a = −0.717199 − 0.180414I
b = −0.705577 + 0.928721I
1.79424 + 5.77597I 0
u = −0.632137 + 1.076460I
a = 1.39036 − 0.69993I
b = −0.116638 + 0.909773I
6.16325 − 1.53180I 0
u = −0.632137 − 1.076460I
a = 1.39036 + 0.69993I
b = −0.116638 − 0.909773I
6.16325 + 1.53180I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.209790 + 0.325509I
a = −0.271622 + 1.340840I
b = 0.456811 − 1.174180I
3.70324 + 8.68012I 0
u = −1.209790 − 0.325509I
a = −0.271622 − 1.340840I
b = 0.456811 + 1.174180I
3.70324 − 8.68012I 0
u = −0.732110 + 0.112013I
a = −0.088768 − 1.163110I
b = 0.673572 + 0.053842I
0.53327 + 4.42313I 0
u = −0.732110 − 0.112013I
a = −0.088768 + 1.163110I
b = 0.673572 − 0.053842I
0.53327 − 4.42313I 0
u = 0.348039 + 0.650251I
a = 0.44224 + 2.66204I
b = −0.13707 − 1.43352I
10.56180 − 4.32345I 0
u = 0.348039 − 0.650251I
a = 0.44224 − 2.66204I
b = −0.13707 + 1.43352I
10.56180 + 4.32345I 0
u = 0.609048 + 0.400273I
a = 0.94141 + 1.88076I
b = −0.454702 − 1.330260I
6.52915 − 4.71836I 0
u = 0.609048 − 0.400273I
a = 0.94141 − 1.88076I
b = −0.454702 + 1.330260I
6.52915 + 4.71836I 0
u = 0.480718 + 1.178560I
a = 0.219493 + 0.120634I
b = 0.911624 + 0.299427I
−1.77452 + 4.30774I 0
u = 0.480718 − 1.178560I
a = 0.219493 − 0.120634I
b = 0.911624 − 0.299427I
−1.77452 − 4.30774I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.386099 + 1.216160I
a = 0.703089 − 1.187430I
b = 0.396513 + 0.851143I
−3.22957 + 0.33726I 0
u = −0.386099 − 1.216160I
a = 0.703089 + 1.187430I
b = 0.396513 − 0.851143I
−3.22957 − 0.33726I 0
u = −0.498100 + 1.180890I
a = 0.067306 − 0.211132I
b = 1.131640 − 0.286713I
−2.53549 − 9.03517I 0
u = −0.498100 − 1.180890I
a = 0.067306 + 0.211132I
b = 1.131640 + 0.286713I
−2.53549 + 9.03517I 0
u = 0.336231 + 1.239100I
a = 1.28414 + 1.20020I
b = 0.327159 − 0.973623I
−2.22474 + 4.63364I 0
u = 0.336231 − 1.239100I
a = 1.28414 − 1.20020I
b = 0.327159 + 0.973623I
−2.22474 − 4.63364I 0
u = 0.502557 + 1.183730I
a = −0.000241 + 0.299146I
b = 1.261280 + 0.225920I
3.65656 + 12.79440I 0
u = 0.502557 − 1.183730I
a = −0.000241 − 0.299146I
b = 1.261280 − 0.225920I
3.65656 − 12.79440I 0
u = 1.249910 + 0.332691I
a = −0.123167 − 1.331140I
b = 0.372505 + 1.110110I
4.21736 − 3.03604I 0
u = 1.249910 − 0.332691I
a = −0.123167 + 1.331140I
b = 0.372505 − 1.110110I
4.21736 + 3.03604I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.272310 + 0.268580I
a = 0.00537 + 1.48522I
b = 0.181300 − 1.169780I
12.34700 − 0.54896I 0
u = −1.272310 − 0.268580I
a = 0.00537 − 1.48522I
b = 0.181300 + 1.169780I
12.34700 + 0.54896I 0
u = 0.019081 + 0.698158I
a = −3.48771 − 0.82257I
b = −0.159550 + 0.725661I
0.25997 − 3.07023I 0
u = 0.019081 − 0.698158I
a = −3.48771 + 0.82257I
b = −0.159550 − 0.725661I
0.25997 + 3.07023I 0
u = 0.396045 + 1.249290I
a = 0.391965 + 1.160490I
b = 0.477920 − 0.726603I
2.91771 − 3.95168I 0
u = 0.396045 − 1.249290I
a = 0.391965 − 1.160490I
b = 0.477920 + 0.726603I
2.91771 + 3.95168I 0
u = 0.459018 + 1.241690I
a = −0.732145 − 0.857516I
b = −0.69090 + 1.27375I
−1.04795 + 7.26322I 0
u = 0.459018 − 1.241690I
a = −0.732145 + 0.857516I
b = −0.69090 − 1.27375I
−1.04795 − 7.26322I 0
u = −0.129557 + 0.662291I
a = −4.16261 + 1.07662I
b = 0.069622 − 0.769446I
7.14084 + 6.73923I 7.06731 + 0.I
u = −0.129557 − 0.662291I
a = −4.16261 − 1.07662I
b = 0.069622 + 0.769446I
7.14084 − 6.73923I 7.06731 + 0.I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.103512 + 1.329150I
a = 0.659184 + 0.588786I
b = 0.190866 + 0.690935I
−3.26423 + 2.04583I 0
u = 0.103512 − 1.329150I
a = 0.659184 − 0.588786I
b = 0.190866 − 0.690935I
−3.26423 − 2.04583I 0
u = 0.647189 + 0.148271I
a = 0.435439 + 0.653133I
b = 0.399705 + 0.084061I
1.263080 + 0.068051I 6.30472 + 0.I
u = 0.647189 − 0.148271I
a = 0.435439 − 0.653133I
b = 0.399705 − 0.084061I
1.263080 − 0.068051I 6.30472 + 0.I
u = 0.489498 + 0.445306I
a = 1.31677 + 0.71222I
b = −0.595035 − 0.644305I
3.59416 − 2.22787I 4.44828 + 3.28633I
u = 0.489498 − 0.445306I
a = 1.31677 − 0.71222I
b = −0.595035 + 0.644305I
3.59416 + 2.22787I 4.44828 − 3.28633I
u = 0.287843 + 1.323100I
a = 1.36976 + 0.86403I
b = 0.313526 − 0.946520I
−2.24947 + 4.63510I 0
u = 0.287843 − 1.323100I
a = 1.36976 − 0.86403I
b = 0.313526 + 0.946520I
−2.24947 − 4.63510I 0
u = −0.291922 + 1.330630I
a = −0.030923 − 0.570633I
b = 0.218901 − 0.261061I
2.72975 − 6.39392I 0
u = −0.291922 − 1.330630I
a = −0.030923 + 0.570633I
b = 0.218901 + 0.261061I
2.72975 + 6.39392I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.137894 + 1.384450I
a = 0.473686 − 0.229744I
b = 0.367351 + 0.643175I
−3.14627 + 1.58217I 0
u = 0.137894 − 1.384450I
a = 0.473686 + 0.229744I
b = 0.367351 − 0.643175I
−3.14627 − 1.58217I 0
u = −0.486396 + 1.322520I
a = −0.541922 + 0.961637I
b = −0.70086 − 1.39734I
3.73453 − 8.87200I 0
u = −0.486396 − 1.322520I
a = −0.541922 − 0.961637I
b = −0.70086 + 1.39734I
3.73453 + 8.87200I 0
u = 0.712489 + 1.220210I
a = −0.551226 − 1.269330I
b = −0.492078 + 1.207440I
0.95408 + 7.02179I 0
u = 0.712489 − 1.220210I
a = −0.551226 + 1.269330I
b = −0.492078 − 1.207440I
0.95408 − 7.02179I 0
u = −0.64146 + 1.30065I
a = 1.02448 − 1.13137I
b = 0.421097 + 1.208970I
8.99948 − 5.98898I 0
u = −0.64146 − 1.30065I
a = 1.02448 + 1.13137I
b = 0.421097 − 1.208970I
8.99948 + 5.98898I 0
u = 0.67829 + 1.28800I
a = 0.86973 + 1.30321I
b = 0.66143 − 1.33954I
7.2150 + 19.4914I 0
u = 0.67829 − 1.28800I
a = 0.86973 − 1.30321I
b = 0.66143 + 1.33954I
7.2150 − 19.4914I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.68089 + 1.29131I
a = 0.86557 − 1.24754I
b = 0.64383 + 1.27373I
0.5978 − 15.3138I 0
u = −0.68089 − 1.29131I
a = 0.86557 + 1.24754I
b = 0.64383 − 1.27373I
0.5978 + 15.3138I 0
u = −0.200873 + 0.490804I
a = 0.13183 − 2.23911I
b = −0.208639 + 1.353350I
3.80782 + 3.05640I 9.07935 + 5.91717I
u = −0.200873 − 0.490804I
a = 0.13183 + 2.23911I
b = −0.208639 − 1.353350I
3.80782 − 3.05640I 9.07935 − 5.91717I
u = 0.68051 + 1.30472I
a = 0.89577 + 1.17538I
b = 0.578800 − 1.204860I
1.03614 + 9.77107I 0
u = 0.68051 − 1.30472I
a = 0.89577 − 1.17538I
b = 0.578800 + 1.204860I
1.03614 − 9.77107I 0
u = −0.03856 + 1.53327I
a = 0.167425 + 0.291661I
b = 0.329821 − 0.720392I
−3.70400 + 3.64743I 0
u = −0.03856 − 1.53327I
a = 0.167425 − 0.291661I
b = 0.329821 + 0.720392I
−3.70400 − 3.64743I 0
u = 0.439603
a = 1.26679
b = 0.145533
0.935748 13.0500
u = −0.77249 + 1.38255I
a = −0.464026 + 1.185570I
b = −0.337280 − 1.303550I
7.69546 − 8.42729I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.77249 − 1.38255I
a = −0.464026 − 1.185570I
b = −0.337280 + 1.303550I
7.69546 + 8.42729I 0
u = 0.406425
a = 1.74220
b = −0.870921
2.35583 4.98770
u = −0.223074 + 0.262560I
a = 1.381930 − 0.217888I
b = −0.552527 + 0.215524I
−1.221340 + 0.638461I −4.33716 − 1.63874I
u = −0.223074 − 0.262560I
a = 1.381930 + 0.217888I
b = −0.552527 − 0.215524I
−1.221340 − 0.638461I −4.33716 + 1.63874I
u = 0.03235 + 1.68857I
a = 0.006953 − 0.417599I
b = 0.319860 + 0.808000I
2.97787 − 7.45637I 0
u = 0.03235 − 1.68857I
a = 0.006953 + 0.417599I
b = 0.319860 − 0.808000I
2.97787 + 7.45637I 0
u = −1.83778 + 0.23088I
a = 0.180170 − 1.195190I
b = −0.074564 + 1.013840I
11.70940 + 0.25310I 0
u = −1.83778 − 0.23088I
a = 0.180170 + 1.195190I
b = −0.074564 − 1.013840I
11.70940 − 0.25310I 0
19
II.
I
u
2
= h−9.31×10
23
u
36
+1.92×10
24
u
35
+· · ·+9.65×10
22
b+1.26×10
23
, 1.43×
10
22
u
36
−2.48×10
22
u
35
+· · ·+1.08×10
21
a+6.17×10
21
, u
37
−2u
36
+· · ·+3u+1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−13.2117u
36
+ 22.8294u
35
+ ··· − 51.4266u − 5.68643
9.64844u
36
− 19.9282u
35
+ ··· + 24.5522u − 1.31023
a
7
=
1
−u
2
a
2
=
−3.56329u
36
+ 2.90115u
35
+ ··· − 26.8744u − 6.99666
9.64844u
36
− 19.9282u
35
+ ··· + 24.5522u − 1.31023
a
8
=
19.1799u
36
− 35.4981u
35
+ ··· + 60.9662u + 5.42398
−6.74584u
36
+ 15.9390u
35
+ ··· − 5.86285u + 2.68433
a
5
=
−17.3058u
36
+ 34.6487u
35
+ ··· − 41.7469u + 0.347274
1.84255u
36
− 8.92859u
35
+ ··· − 25.2197u − 7.89077
a
12
=
14.2880u
36
− 42.1875u
35
+ ··· − 93.3907u − 40.4480
2.49478u
36
+ 6.71053u
35
+ ··· + 101.225u + 30.7885
a
9
=
−14.1097u
36
+ 43.3499u
35
+ ··· + 100.678u + 44.3118
−3.45784u
36
− 7.32685u
35
+ ··· − 124.470u − 34.4750
a
10
=
−u
u
3
+ u
a
4
=
−18.9127u
36
+ 35.8283u
35
+ ··· − 63.3892u − 4.26487
3.51876u
36
− 10.7539u
35
+ ··· − 11.2868u − 5.31278
a
1
=
−16.9025u
36
+ 38.5063u
35
+ ··· + 14.7456u + 15.8298
−5.28954u
36
+ 5.11532u
35
+ ··· − 35.7792u − 6.93395
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
4327166042698155197971534
96519681973631221817333
u
36
+
7041503769049542238711757
96519681973631221817333
u
35
+
··· −
25764831998093870445436137
96519681973631221817333
u −
3568650562414305898511193
96519681973631221817333
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
37
− 3u
36
+ ··· + 2u − 1
c
2
u
37
− 15u
36
+ ··· + 122u − 11
c
3
u
37
− u
36
+ ··· − 3u − 1
c
4
u
37
+ 7u
35
+ ··· + 6u − 1
c
5
u
37
+ 15u
36
+ ··· + 122u + 11
c
6
u
37
− 2u
36
+ ··· + 3u + 1
c
7
u
37
− 7u
36
+ ··· − 23u + 11
c
8
, c
9
u
37
− 3u
36
+ ··· − 3u + 1
c
10
u
37
+ 2u
36
+ ··· + 3u − 1
c
11
u
37
− 8u
35
+ ··· + 113u + 11
c
12
u
37
+ 3u
36
+ ··· − 3u − 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
37
− 7y
36
+ ··· − 6y −1
c
2
, c
5
y
37
+ 19y
36
+ ··· − 1968y −121
c
3
y
37
+ 31y
36
+ ··· − 13y −1
c
4
y
37
+ 14y
36
+ ··· + 32y −1
c
6
, c
10
y
37
+ 20y
36
+ ··· − 11y −1
c
7
y
37
− 21y
36
+ ··· − 131y −121
c
8
, c
9
, c
12
y
37
− 39y
36
+ ··· + 13y −1
c
11
y
37
− 16y
36
+ ··· + 7951y −121
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.228269 + 0.972015I
a = −0.312517 + 0.293728I
b = −1.273360 + 0.251375I
−3.63313 − 0.89930I 5.53992 + 6.04664I
u = −0.228269 − 0.972015I
a = −0.312517 − 0.293728I
b = −1.273360 − 0.251375I
−3.63313 + 0.89930I 5.53992 − 6.04664I
u = 0.287893 + 0.968457I
a = −0.060595 − 0.342713I
b = −1.45473 − 0.53345I
0.588458 − 0.123251I 7.13012 − 5.25813I
u = 0.287893 − 0.968457I
a = −0.060595 + 0.342713I
b = −1.45473 + 0.53345I
0.588458 + 0.123251I 7.13012 + 5.25813I
u = −1.031340 + 0.044232I
a = 0.192006 − 1.264000I
b = −0.265315 + 1.094270I
3.26821 + 1.90573I 7.36980 − 1.60523I
u = −1.031340 − 0.044232I
a = 0.192006 + 1.264000I
b = −0.265315 − 1.094270I
3.26821 − 1.90573I 7.36980 + 1.60523I
u = −0.874710 + 0.590451I
a = 0.67042 − 1.71902I
b = −0.090125 + 0.720042I
1.61545 − 0.08236I 7.43055 − 4.31546I
u = −0.874710 − 0.590451I
a = 0.67042 + 1.71902I
b = −0.090125 − 0.720042I
1.61545 + 0.08236I 7.43055 + 4.31546I
u = 0.252798 + 0.884161I
a = −0.533573 − 0.538051I
b = −1.367950 + 0.095533I
0.93519 + 2.40188I 7.76863 − 6.15289I
u = 0.252798 − 0.884161I
a = −0.533573 + 0.538051I
b = −1.367950 − 0.095533I
0.93519 − 2.40188I 7.76863 + 6.15289I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.349386 + 0.741107I
a = 2.71835 + 1.41552I
b = 0.176109 − 0.722893I
0.38143 + 3.90532I 3.52562 − 9.73284I
u = 0.349386 − 0.741107I
a = 2.71835 − 1.41552I
b = 0.176109 + 0.722893I
0.38143 − 3.90532I 3.52562 + 9.73284I
u = 0.504590 + 1.139670I
a = −0.826244 − 1.132200I
b = −0.76922 + 1.35116I
3.55732 + 7.62088I 4.76855 − 5.78854I
u = 0.504590 − 1.139670I
a = −0.826244 + 1.132200I
b = −0.76922 − 1.35116I
3.55732 − 7.62088I 4.76855 + 5.78854I
u = −0.191270 + 0.723197I
a = 3.48718 − 1.35344I
b = 0.372061 + 0.818530I
6.95975 − 7.51210I 4.20294 + 9.63619I
u = −0.191270 − 0.723197I
a = 3.48718 + 1.35344I
b = 0.372061 − 0.818530I
6.95975 + 7.51210I 4.20294 − 9.63619I
u = −0.180345 + 1.264300I
a = −0.387275 − 0.073167I
b = −0.637391 + 0.389419I
−3.70426 − 1.84766I −4.53622 + 0.I
u = −0.180345 − 1.264300I
a = −0.387275 + 0.073167I
b = −0.637391 − 0.389419I
−3.70426 + 1.84766I −4.53622 + 0.I
u = 0.478697 + 0.510660I
a = 0.688966 + 0.889393I
b = −0.45698 − 1.35011I
5.71669 − 3.59980I 7.13623 + 0.63245I
u = 0.478697 − 0.510660I
a = 0.688966 − 0.889393I
b = −0.45698 + 1.35011I
5.71669 + 3.59980I 7.13623 − 0.63245I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.538875 + 1.194820I
a = −0.86428 + 1.12401I
b = −0.602036 − 1.255360I
−0.21013 − 7.03477I 0
u = −0.538875 − 1.194820I
a = −0.86428 − 1.12401I
b = −0.602036 + 1.255360I
−0.21013 + 7.03477I 0
u = 0.501657 + 1.227510I
a = −0.87595 − 1.24896I
b = −0.318545 + 1.299050I
6.75947 + 7.54157I 0
u = 0.501657 − 1.227510I
a = −0.87595 + 1.24896I
b = −0.318545 − 1.299050I
6.75947 − 7.54157I 0
u = 0.071334 + 0.630120I
a = 1.81498 + 1.52115I
b = 0.03753 − 1.47901I
10.04490 − 5.12848I 6.58278 + 5.07152I
u = 0.071334 − 0.630120I
a = 1.81498 − 1.52115I
b = 0.03753 + 1.47901I
10.04490 + 5.12848I 6.58278 − 5.07152I
u = −0.062660 + 1.390740I
a = −0.775777 + 0.186352I
b = −0.169689 + 0.735196I
−3.04268 − 2.20819I 0
u = −0.062660 − 1.390740I
a = −0.775777 − 0.186352I
b = −0.169689 − 0.735196I
−3.04268 + 2.20819I 0
u = −0.25822 + 1.39168I
a = −1.31365 + 0.69602I
b = −0.302359 − 0.958218I
−2.05555 − 4.68016I 0
u = −0.25822 − 1.39168I
a = −1.31365 − 0.69602I
b = −0.302359 + 0.958218I
−2.05555 + 4.68016I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.17024 + 1.47875I
a = −0.225405 + 0.017552I
b = 0.087635 − 0.688908I
3.46280 + 6.68402I 0
u = 0.17024 − 1.47875I
a = −0.225405 − 0.017552I
b = 0.087635 + 0.688908I
3.46280 − 6.68402I 0
u = −0.005091 + 0.479638I
a = 1.15729 − 1.65554I
b = −0.121496 + 1.371280I
3.60849 + 3.40020I −0.43408 − 10.19463I
u = −0.005091 − 0.479638I
a = 1.15729 + 1.65554I
b = −0.121496 − 1.371280I
3.60849 − 3.40020I −0.43408 + 10.19463I
u = −0.245280
a = −3.32195
b = −0.455606
0.424676 −4.93760
u = 1.87682 + 0.19337I
a = 0.107045 + 1.194810I
b = −0.116346 − 0.979250I
11.59340 − 0.47661I 0
u = 1.87682 − 0.19337I
a = 0.107045 − 1.194810I
b = −0.116346 + 0.979250I
11.59340 + 0.47661I 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 3u
36
+ ··· + 2u − 1)(u
148
− 10u
147
+ ··· + 297636u + 230161)
c
2
(u
37
− 15u
36
+ ··· + 122u − 11)(u
148
+ 8u
147
+ ··· + 10382u − 651)
c
3
(u
37
− u
36
+ ··· − 3u − 1)(u
148
− 2u
147
+ ··· − 127745u − 3703)
c
4
(u
37
+ 7u
35
+ ··· + 6u − 1)(u
148
− u
147
+ ··· − 634458u + 118991)
c
5
(u
37
+ 15u
36
+ ··· + 122u + 11)(u
148
+ 8u
147
+ ··· + 10382u − 651)
c
6
(u
37
− 2u
36
+ ··· + 3u + 1)(u
148
+ u
147
+ ··· − 6495u + 1721)
c
7
(u
37
− 7u
36
+ ··· − 23u + 11)(u
148
+ 8u
147
+ ··· + 435567u − 34657)
c
8
, c
9
(u
37
− 3u
36
+ ··· − 3u + 1)(u
148
− 4u
147
+ ··· + u − 3)
c
10
(u
37
+ 2u
36
+ ··· + 3u − 1)(u
148
+ u
147
+ ··· − 6495u + 1721)
c
11
(u
37
− 8u
35
+ ··· + 113u + 11)
· (u
148
+ u
147
+ ··· − 5763627u + 246787)
c
12
(u
37
+ 3u
36
+ ··· − 3u − 1)(u
148
− 4u
147
+ ··· + u − 3)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
37
− 7y
36
+ ··· − 6y −1)
· (y
148
+ 32y
147
+ ··· − 198487685030y + 52974085921)
c
2
, c
5
(y
37
+ 19y
36
+ ··· − 1968y −121)
· (y
148
+ 82y
147
+ ··· − 3620716y + 423801)
c
3
(y
37
+ 31y
36
+ ··· − 13y −1)
· (y
148
+ 46y
147
+ ··· − 8748186675y + 13712209)
c
4
(y
37
+ 14y
36
+ ··· + 32y −1)
· (y
148
− 23y
147
+ ··· − 475017227648y + 14158858081)
c
6
, c
10
(y
37
+ 20y
36
+ ··· − 11y −1)
· (y
148
+ 79y
147
+ ··· + 91860223y + 2961841)
c
7
(y
37
− 21y
36
+ ··· − 131y −121)
· (y
148
− 2y
147
+ ··· + 94156598255y + 1201107649)
c
8
, c
9
, c
12
(y
37
− 39y
36
+ ··· + 13y −1)(y
148
− 148y
147
+ ··· + 59y + 9)
c
11
(y
37
− 16y
36
+ ··· + 7951y −121)
· (y
148
− 17y
147
+ ··· − 5010577456011y + 60903823369)
28
