12a
0645
(K12a
0645
)
A knot diagram
1
Linearized knot diagam
3 7 10 11 9 2 5 12 6 1 8 4
Solving Sequence
2,7 3,10
4 1 11 6 9 5 12 8
c
2
c
3
c
1
c
10
c
6
c
9
c
5
c
12
c
8
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.97362 × 10
478
u
159
+ 7.20508 × 10
478
u
158
+ ··· + 4.01845 × 10
476
b − 1.56559 × 10
480
,
− 3.29775 × 10
480
u
159
+ 6.08538 × 10
480
u
158
+ ··· + 7.75561 × 10
478
a − 2.13475 × 10
482
,
3u
160
− u
159
+ ··· + 331u + 193i
I
u
2
= h212681736u
30
− 995826957u
29
+ ··· + 135981283b + 1205561889,
4200084636u
30
− 2960109407u
29
+ ··· + 135981283a + 2781584870, 3u
31
− 4u
30
+ ··· + 6u − 1i
* 2 irreducible components of dim
C
= 0, with total 191 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−2.97 × 10
478
u
159
+ 7.21 × 10
478
u
158
+ · · · + 4.02 × 10
476
b − 1.57 ×
10
480
, −3.30 × 10
480
u
159
+ 6.09 × 10
480
u
158
+ · · · + 7.76 × 10
478
a − 2.13 ×
10
482
, 3u
160
− u
159
+ · · · + 331u + 193i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
42.5208u
159
− 78.4642u
158
+ ··· + 3808.29u + 2752.52
73.9991u
159
− 179.300u
158
+ ··· + 8415.82u + 3896.00
a
4
=
94.2155u
159
− 135.360u
158
+ ··· + 3663.40u + 3322.32
74.6958u
159
− 139.263u
158
+ ··· + 2966.73u + 1181.62
a
1
=
−u
2
+ 1
−u
4
a
11
=
99.5335u
159
− 156.029u
158
+ ··· + 9476.32u + 7456.67
140.093u
159
− 275.547u
158
+ ··· + 14805.5u + 8626.39
a
6
=
u
u
a
9
=
123.309u
159
− 190.843u
158
+ ··· + 11751.0u + 8564.58
154.787u
159
− 291.679u
158
+ ··· + 16358.6u + 9708.06
a
5
=
53.1586u
159
− 67.3439u
158
+ ··· + 2128.47u + 2393.64
43.2850u
159
− 61.1105u
158
+ ··· + 1169.30u + 903.031
a
12
=
−149.073u
159
+ 163.399u
158
+ ··· − 8258.49u − 11218.9
−250.944u
159
+ 314.969u
158
+ ··· − 13101.3u − 14923.1
a
8
=
160.802u
159
− 177.065u
158
+ ··· + 9052.96u + 11563.7
257.386u
159
− 322.104u
158
+ ··· + 13806.7u + 15180.7
(ii) Obstruction class = −1
(iii) Cusp Shapes = −69.5462u
159
+ 85.0726u
158
+ ··· − 2339.28u − 2896.34
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
9(9u
160
+ 625u
159
+ ··· + 662313u + 37249)
c
2
, c
6
3(3u
160
+ u
159
+ ··· − 331u + 193)
c
3
u
160
+ 2u
159
+ ··· + 138410u + 38043
c
4
u
160
− 3u
159
+ ··· + 8419865u − 580297
c
5
, c
9
u
160
− 4u
159
+ ··· + 5365970u + 823609
c
7
u
160
− 10u
159
+ ··· − 10677820u + 828069
c
8
, c
11
3(3u
160
+ 7u
159
+ ··· + 27391u + 4289)
c
10
u
160
− 6u
159
+ ··· − 13655574u + 592191
c
12
9(9u
160
+ 139u
159
+ ··· + 7244u + 959)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
81(81y
160
+ 2819y
159
+ ··· + 7.77369 × 10
11
y + 1.38749 × 10
9
)
c
2
, c
6
9(9y
160
− 625y
159
+ ··· − 662313y + 37249)
c
3
y
160
− 10y
159
+ ··· + 181994273540y + 1447269849
c
4
y
160
− 7y
159
+ ··· − 29142125376523y + 336744608209
c
5
, c
9
y
160
− 76y
159
+ ··· − 6823756896730y + 678331784881
c
7
y
160
+ 22y
159
+ ··· + 33389274231554y + 685698268761
c
8
, c
11
9(9y
160
− 787y
159
+ ··· − 5.87148 × 10
8
y + 1.83955 × 10
7
)
c
10
y
160
+ 6y
159
+ ··· + 12702120885144y + 350690180481
c
12
81(81y
160
− 583y
159
+ ··· − 1.15876 × 10
7
y + 919681)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.858523 + 0.512712I
a = 1.50494 + 4.91958I
b = 5.05179 + 1.41604I
−0.20205 + 2.08088I 0
u = −0.858523 − 0.512712I
a = 1.50494 − 4.91958I
b = 5.05179 − 1.41604I
−0.20205 − 2.08088I 0
u = −0.399566 + 0.920691I
a = −0.653839 − 0.918014I
b = −0.927677 + 0.110718I
5.92805 − 3.86382I 0
u = −0.399566 − 0.920691I
a = −0.653839 + 0.918014I
b = −0.927677 − 0.110718I
5.92805 + 3.86382I 0
u = −0.890101 + 0.442528I
a = 0.766212 + 0.910700I
b = −0.494498 + 0.090076I
−3.91659 + 3.92649I 0
u = −0.890101 − 0.442528I
a = 0.766212 − 0.910700I
b = −0.494498 − 0.090076I
−3.91659 − 3.92649I 0
u = 0.345258 + 0.919207I
a = 0.514884 − 1.212210I
b = 0.559264 + 0.062755I
4.64153 + 5.08652I 0
u = 0.345258 − 0.919207I
a = 0.514884 + 1.212210I
b = 0.559264 − 0.062755I
4.64153 − 5.08652I 0
u = −0.876818 + 0.441280I
a = 0.037704 − 0.249262I
b = 1.44747 + 0.47428I
−3.87061 − 0.30555I 0
u = −0.876818 − 0.441280I
a = 0.037704 + 0.249262I
b = 1.44747 − 0.47428I
−3.87061 + 0.30555I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.598820 + 0.765579I
a = −0.582350 + 1.040930I
b = −1.66724 + 0.31489I
6.42128 + 7.98934I 0
u = 0.598820 − 0.765579I
a = −0.582350 − 1.040930I
b = −1.66724 − 0.31489I
6.42128 − 7.98934I 0
u = 0.875198 + 0.546004I
a = 2.33898 + 1.12309I
b = 0.05287 + 2.88551I
−0.08564 − 1.61768I 0
u = 0.875198 − 0.546004I
a = 2.33898 − 1.12309I
b = 0.05287 − 2.88551I
−0.08564 + 1.61768I 0
u = 0.599472 + 0.755917I
a = 0.536468 − 0.671135I
b = 1.379940 − 0.295092I
2.52740 + 3.16960I 0
u = 0.599472 − 0.755917I
a = 0.536468 + 0.671135I
b = 1.379940 + 0.295092I
2.52740 − 3.16960I 0
u = −0.875532 + 0.402402I
a = −1.32734 − 1.50867I
b = −2.14051 − 2.03517I
1.20283 − 5.35350I 0
u = −0.875532 − 0.402402I
a = −1.32734 + 1.50867I
b = −2.14051 + 2.03517I
1.20283 + 5.35350I 0
u = 0.520979 + 0.809128I
a = −1.44567 + 0.74943I
b = −1.051720 − 0.592214I
−2.00969 + 2.22775I 0
u = 0.520979 − 0.809128I
a = −1.44567 − 0.74943I
b = −1.051720 + 0.592214I
−2.00969 − 2.22775I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.964376 + 0.391414I
a = 0.210562 − 1.129790I
b = 0.517869 − 0.633031I
−2.32367 − 1.28895I 0
u = 0.964376 − 0.391414I
a = 0.210562 + 1.129790I
b = 0.517869 + 0.633031I
−2.32367 + 1.28895I 0
u = 0.598126 + 0.749447I
a = −0.018088 + 0.669995I
b = −1.243940 + 0.671685I
6.43884 − 1.85606I 0
u = 0.598126 − 0.749447I
a = −0.018088 − 0.669995I
b = −1.243940 − 0.671685I
6.43884 + 1.85606I 0
u = −0.856928 + 0.415771I
a = 0.88931 + 1.26976I
b = 1.93123 + 1.58580I
−1.65691 − 0.86452I 0
u = −0.856928 − 0.415771I
a = 0.88931 − 1.26976I
b = 1.93123 − 1.58580I
−1.65691 + 0.86452I 0
u = −0.806252 + 0.506145I
a = −0.87444 − 1.57282I
b = −1.56031 − 0.99865I
1.74273 + 2.08497I 0
u = −0.806252 − 0.506145I
a = −0.87444 + 1.57282I
b = −1.56031 + 0.99865I
1.74273 − 2.08497I 0
u = 0.535100 + 0.785517I
a = 1.47924 − 0.88491I
b = 1.36629 + 0.50675I
−1.01099 + 5.78248I 0
u = 0.535100 − 0.785517I
a = 1.47924 + 0.88491I
b = 1.36629 − 0.50675I
−1.01099 − 5.78248I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.626179 + 0.843667I
a = 0.169285 + 0.779136I
b = 0.946759 + 0.496073I
7.45083 − 0.28837I 0
u = −0.626179 − 0.843667I
a = 0.169285 − 0.779136I
b = 0.946759 − 0.496073I
7.45083 + 0.28837I 0
u = −0.948712 + 0.454402I
a = 1.40790 + 1.16283I
b = 1.021270 + 0.497104I
−2.04324 + 4.34407I 0
u = −0.948712 − 0.454402I
a = 1.40790 − 1.16283I
b = 1.021270 − 0.497104I
−2.04324 − 4.34407I 0
u = −0.931616 + 0.500567I
a = −1.22621 − 1.87235I
b = −2.01752 − 0.73224I
1.46381 + 1.84510I 0
u = −0.931616 − 0.500567I
a = −1.22621 + 1.87235I
b = −2.01752 + 0.73224I
1.46381 − 1.84510I 0
u = −0.776028 + 0.723624I
a = −0.916415 − 0.514421I
b = −1.273670 − 0.057649I
2.88771 + 1.95925I 0
u = −0.776028 − 0.723624I
a = −0.916415 + 0.514421I
b = −1.273670 + 0.057649I
2.88771 − 1.95925I 0
u = 0.755572 + 0.545167I
a = 1.68045 − 2.03588I
b = 1.061500 − 0.844023I
2.75731 + 5.54693I 0
u = 0.755572 − 0.545167I
a = 1.68045 + 2.03588I
b = 1.061500 + 0.844023I
2.75731 − 5.54693I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.759372 + 0.531679I
a = 0.43982 − 1.78428I
b = 0.003159 − 0.785364I
3.59006 − 2.57418I 0
u = 0.759372 − 0.531679I
a = 0.43982 + 1.78428I
b = 0.003159 + 0.785364I
3.59006 + 2.57418I 0
u = 0.921773 + 0.554518I
a = 0.847379 + 0.063602I
b = 1.72736 − 0.21624I
3.05691 − 1.82766I 0
u = 0.921773 − 0.554518I
a = 0.847379 − 0.063602I
b = 1.72736 + 0.21624I
3.05691 + 1.82766I 0
u = −0.482878 + 0.961506I
a = −1.143840 − 0.828686I
b = −1.083810 + 0.554385I
2.4349 − 14.4432I 0
u = −0.482878 − 0.961506I
a = −1.143840 + 0.828686I
b = −1.083810 − 0.554385I
2.4349 + 14.4432I 0
u = 0.929044 + 0.546307I
a = −0.889605 + 0.899784I
b = −2.00277 + 1.23026I
−0.67270 − 5.34745I 0
u = 0.929044 − 0.546307I
a = −0.889605 − 0.899784I
b = −2.00277 − 1.23026I
−0.67270 + 5.34745I 0
u = 0.929136 + 0.547891I
a = 1.52833 − 0.96048I
b = 2.69093 − 1.18841I
2.19729 − 9.95091I 0
u = 0.929136 − 0.547891I
a = 1.52833 + 0.96048I
b = 2.69093 + 1.18841I
2.19729 + 9.95091I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.004960 + 0.399803I
a = −1.40868 − 0.88746I
b = −1.099750 − 0.855542I
0.88846 + 8.43462I 0
u = −1.004960 − 0.399803I
a = −1.40868 + 0.88746I
b = −1.099750 + 0.855542I
0.88846 − 8.43462I 0
u = 0.738735 + 0.536581I
a = −1.33873 + 1.44316I
b = −0.690771 + 0.374518I
−0.072951 + 0.961480I 0
u = 0.738735 − 0.536581I
a = −1.33873 − 1.44316I
b = −0.690771 − 0.374518I
−0.072951 − 0.961480I 0
u = −0.854118 + 0.679305I
a = −0.15786 + 1.91806I
b = 0.62577 + 1.61923I
4.81237 − 0.44211I 0
u = −0.854118 − 0.679305I
a = −0.15786 − 1.91806I
b = 0.62577 − 1.61923I
4.81237 + 0.44211I 0
u = −0.466443 + 0.987944I
a = 0.991951 + 0.705897I
b = 0.932721 − 0.503111I
−0.60239 − 8.18752I 0
u = −0.466443 − 0.987944I
a = 0.991951 − 0.705897I
b = 0.932721 + 0.503111I
−0.60239 + 8.18752I 0
u = 0.957099 + 0.540908I
a = 0.14141 + 1.66823I
b = −0.99477 + 2.04946I
−3.01144 − 4.92489I 0
u = 0.957099 − 0.540908I
a = 0.14141 − 1.66823I
b = −0.99477 − 2.04946I
−3.01144 + 4.92489I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.108390 + 0.036148I
a = 0.412788 + 0.414387I
b = −0.813571 + 0.037760I
−6.57571 − 4.32904I 0
u = −1.108390 − 0.036148I
a = 0.412788 − 0.414387I
b = −0.813571 − 0.037760I
−6.57571 + 4.32904I 0
u = 0.721883 + 0.511371I
a = −1.76456 + 0.10147I
b = −0.49151 − 1.64811I
0.30418 − 2.77851I 0
u = 0.721883 − 0.511371I
a = −1.76456 − 0.10147I
b = −0.49151 + 1.64811I
0.30418 + 2.77851I 0
u = 0.995347 + 0.504511I
a = −0.32124 − 1.51056I
b = 0.50761 − 1.70473I
−3.11466 − 1.07906I 0
u = 0.995347 − 0.504511I
a = −0.32124 + 1.51056I
b = 0.50761 + 1.70473I
−3.11466 + 1.07906I 0
u = −0.868062 + 0.709058I
a = 1.57283 − 0.12343I
b = 1.63720 − 0.80832I
4.78608 + 5.78377I 0
u = −0.868062 − 0.709058I
a = 1.57283 + 0.12343I
b = 1.63720 + 0.80832I
4.78608 − 5.78377I 0
u = −0.870669 + 0.080722I
a = 1.24479 + 1.41373I
b = 0.680066 + 0.603111I
−2.39934 − 2.95807I 0
u = −0.870669 − 0.080722I
a = 1.24479 − 1.41373I
b = 0.680066 − 0.603111I
−2.39934 + 2.95807I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.115030 + 0.177294I
a = −0.216775 + 0.957878I
b = −1.30923 + 0.81369I
−5.24468 + 0.22869I 0
u = −1.115030 − 0.177294I
a = −0.216775 − 0.957878I
b = −1.30923 − 0.81369I
−5.24468 − 0.22869I 0
u = 0.420181 + 0.759965I
a = −1.63220 + 1.14348I
b = −1.003700 − 0.159361I
−0.65932 + 4.36442I 0
u = 0.420181 − 0.759965I
a = −1.63220 − 1.14348I
b = −1.003700 + 0.159361I
−0.65932 − 4.36442I 0
u = −0.816509 + 0.287001I
a = −1.18022 − 1.97542I
b = −1.58080 − 0.88820I
2.11286 + 1.69342I 0
u = −0.816509 − 0.287001I
a = −1.18022 + 1.97542I
b = −1.58080 + 0.88820I
2.11286 − 1.69342I 0
u = −0.819864 + 0.266572I
a = −0.62318 − 1.90819I
b = −0.80637 − 1.78729I
1.51246 + 2.50065I 0
u = −0.819864 − 0.266572I
a = −0.62318 + 1.90819I
b = −0.80637 + 1.78729I
1.51246 − 2.50065I 0
u = 0.180802 + 0.842553I
a = −0.366372 − 0.969411I
b = 0.082429 − 0.379043I
4.48198 − 5.22354I 0
u = 0.180802 − 0.842553I
a = −0.366372 + 0.969411I
b = 0.082429 + 0.379043I
4.48198 + 5.22354I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.929349 + 0.664804I
a = −0.41692 − 1.36478I
b = −0.946883 − 0.937696I
2.39145 + 3.35955I 0
u = −0.929349 − 0.664804I
a = −0.41692 + 1.36478I
b = −0.946883 + 0.937696I
2.39145 − 3.35955I 0
u = 0.480582 + 0.701769I
a = 1.74886 − 0.70670I
b = 1.164280 + 0.135179I
−0.60338 + 1.74935I 0
u = 0.480582 − 0.701769I
a = 1.74886 + 0.70670I
b = 1.164280 − 0.135179I
−0.60338 − 1.74935I 0
u = −1.164650 + 0.035527I
a = −0.160183 − 0.210952I
b = 1.083000 − 0.050934I
−7.78473 − 0.46269I 0
u = −1.164650 − 0.035527I
a = −0.160183 + 0.210952I
b = 1.083000 + 0.050934I
−7.78473 + 0.46269I 0
u = 0.565026 + 0.614392I
a = −1.41951 + 0.26683I
b = −0.541770 − 0.787177I
−1.95528 + 0.40890I 0
u = 0.565026 − 0.614392I
a = −1.41951 − 0.26683I
b = −0.541770 + 0.787177I
−1.95528 − 0.40890I 0
u = −0.839944 + 0.814312I
a = −1.04023 + 1.00033I
b = −0.35402 + 1.38938I
3.86284 + 5.61334I 0
u = −0.839944 − 0.814312I
a = −1.04023 − 1.00033I
b = −0.35402 − 1.38938I
3.86284 − 5.61334I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.827198 + 0.026035I
a = −1.73308 + 1.15402I
b = −0.880693 + 0.160135I
1.05929 + 7.91977I 0
u = −0.827198 − 0.026035I
a = −1.73308 − 1.15402I
b = −0.880693 − 0.160135I
1.05929 − 7.91977I 0
u = 1.147450 + 0.253250I
a = −0.613798 − 0.129454I
b = 0.468990 − 0.718982I
−3.98129 + 4.28687I 0
u = 1.147450 − 0.253250I
a = −0.613798 + 0.129454I
b = 0.468990 + 0.718982I
−3.98129 − 4.28687I 0
u = −1.177650 + 0.191619I
a = 0.510995 − 0.627460I
b = 1.66796 − 0.37807I
−5.59671 − 1.86006I 0
u = −1.177650 − 0.191619I
a = 0.510995 + 0.627460I
b = 1.66796 + 0.37807I
−5.59671 + 1.86006I 0
u = 0.764996 + 0.251400I
a = −1.38964 + 0.30977I
b = −0.432945 − 1.081040I
0.32979 − 2.90045I 0
u = 0.764996 − 0.251400I
a = −1.38964 − 0.30977I
b = −0.432945 + 1.081040I
0.32979 + 2.90045I 0
u = 1.024040 + 0.634235I
a = −0.959462 + 0.990982I
b = −1.003000 − 0.039725I
5.14885 − 3.40949I 0
u = 1.024040 − 0.634235I
a = −0.959462 − 0.990982I
b = −1.003000 + 0.039725I
5.14885 + 3.40949I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.029250 + 0.643230I
a = 0.80365 − 1.38739I
b = 1.218130 − 0.615126I
1.22303 − 8.49093I 0
u = 1.029250 − 0.643230I
a = 0.80365 + 1.38739I
b = 1.218130 + 0.615126I
1.22303 + 8.49093I 0
u = 1.028570 + 0.651156I
a = −1.02382 + 1.55998I
b = −1.70686 + 0.58162I
5.1235 − 13.3621I 0
u = 1.028570 − 0.651156I
a = −1.02382 − 1.55998I
b = −1.70686 − 0.58162I
5.1235 + 13.3621I 0
u = −1.091420 + 0.539497I
a = −0.28059 − 1.70796I
b = −1.63451 − 1.64993I
−2.11757 + 11.83540I 0
u = −1.091420 − 0.539497I
a = −0.28059 + 1.70796I
b = −1.63451 + 1.64993I
−2.11757 − 11.83540I 0
u = −0.917005 + 0.804673I
a = 1.010330 − 0.929796I
b = 0.51265 − 1.47019I
3.63889 + 0.42575I 0
u = −0.917005 − 0.804673I
a = 1.010330 + 0.929796I
b = 0.51265 + 1.47019I
3.63889 − 0.42575I 0
u = 1.218830 + 0.177949I
a = 0.067118 + 0.324108I
b = 0.385715 + 0.041239I
0.226309 + 0.633517I 0
u = 1.218830 − 0.177949I
a = 0.067118 − 0.324108I
b = 0.385715 − 0.041239I
0.226309 − 0.633517I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.070190 + 0.612135I
a = 0.49053 − 1.87768I
b = 1.23698 − 2.13388I
−2.32132 − 6.84418I 0
u = 1.070190 − 0.612135I
a = 0.49053 + 1.87768I
b = 1.23698 + 2.13388I
−2.32132 + 6.84418I 0
u = −1.132180 + 0.490877I
a = 0.47531 + 1.42514I
b = 1.52760 + 1.36159I
−5.42116 + 5.68279I 0
u = −1.132180 − 0.490877I
a = 0.47531 − 1.42514I
b = 1.52760 − 1.36159I
−5.42116 − 5.68279I 0
u = 0.424472 + 0.630167I
a = 1.264210 + 0.070425I
b = 0.367634 + 0.939807I
−1.49570 − 3.25862I 0
u = 0.424472 − 0.630167I
a = 1.264210 − 0.070425I
b = 0.367634 − 0.939807I
−1.49570 + 3.25862I 0
u = −1.025350 + 0.707689I
a = 0.677942 + 0.799775I
b = 1.048920 + 0.212449I
6.24337 + 6.04898I 0
u = −1.025350 − 0.707689I
a = 0.677942 − 0.799775I
b = 1.048920 − 0.212449I
6.24337 − 6.04898I 0
u = 1.066110 + 0.651740I
a = 0.41384 − 1.95072I
b = 1.60420 − 1.96785I
−2.59362 − 11.21460I 0
u = 1.066110 − 0.651740I
a = 0.41384 + 1.95072I
b = 1.60420 + 1.96785I
−2.59362 + 11.21460I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.192490 + 0.390793I
a = 0.532537 − 0.056332I
b = −0.302094 + 0.512997I
−6.11510 − 2.58441I 0
u = 1.192490 − 0.390793I
a = 0.532537 + 0.056332I
b = −0.302094 − 0.512997I
−6.11510 + 2.58441I 0
u = 1.100880 + 0.614737I
a = −0.65268 + 1.76302I
b = −1.61299 + 2.12858I
−2.63993 − 9.58677I 0
u = 1.100880 − 0.614737I
a = −0.65268 − 1.76302I
b = −1.61299 − 2.12858I
−2.63993 + 9.58677I 0
u = 1.080170 + 0.658860I
a = −0.24720 + 1.76595I
b = −1.38659 + 2.02779I
−3.67748 − 7.74776I 0
u = 1.080170 − 0.658860I
a = −0.24720 − 1.76595I
b = −1.38659 − 2.02779I
−3.67748 + 7.74776I 0
u = −0.564923 + 1.132750I
a = −0.377231 + 0.097445I
b = 0.198090 + 0.716380I
2.82627 + 8.42490I 0
u = −0.564923 − 1.132750I
a = −0.377231 − 0.097445I
b = 0.198090 − 0.716380I
2.82627 − 8.42490I 0
u = 0.716452
a = −0.739915
b = −0.0113025
−1.05941 0
u = −0.243634 + 0.667902I
a = −0.61222 − 1.28468I
b = −0.905922 + 0.675723I
0.17996 − 7.25422I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.243634 − 0.667902I
a = −0.61222 + 1.28468I
b = −0.905922 − 0.675723I
0.17996 + 7.25422I 0
u = −0.040825 + 0.704009I
a = 0.114844 + 0.992827I
b = 0.650652 − 0.535962I
−2.47839 − 1.40237I 0
u = −0.040825 − 0.704009I
a = 0.114844 − 0.992827I
b = 0.650652 + 0.535962I
−2.47839 + 1.40237I 0
u = 1.327210 + 0.023860I
a = −0.113392 − 0.264341I
b = 0.904697 − 0.004573I
−4.48461 − 11.69480I 0
u = 1.327210 − 0.023860I
a = −0.113392 + 0.264341I
b = 0.904697 + 0.004573I
−4.48461 + 11.69480I 0
u = −1.160740 + 0.652238I
a = −0.65404 − 1.30000I
b = −1.57987 − 1.24239I
3.62290 + 9.62772I 0
u = −1.160740 − 0.652238I
a = −0.65404 + 1.30000I
b = −1.57987 + 1.24239I
3.62290 − 9.62772I 0
u = −1.145850 + 0.689720I
a = −0.47231 − 1.65766I
b = −1.65445 − 1.81121I
0.3877 + 20.4613I 0
u = −1.145850 − 0.689720I
a = −0.47231 + 1.65766I
b = −1.65445 + 1.81121I
0.3877 − 20.4613I 0
u = 1.175850 + 0.645521I
a = 0.708944 − 1.012540I
b = 1.73251 − 1.20007I
2.15984 − 10.81450I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.175850 − 0.645521I
a = 0.708944 + 1.012540I
b = 1.73251 + 1.20007I
2.15984 + 10.81450I 0
u = −1.158810 + 0.690934I
a = 0.42334 + 1.51025I
b = 1.48647 + 1.66305I
−2.7476 + 14.2724I 0
u = −1.158810 − 0.690934I
a = 0.42334 − 1.51025I
b = 1.48647 − 1.66305I
−2.7476 − 14.2724I 0
u = 1.141290 + 0.726387I
a = −0.135706 + 1.023370I
b = −1.05423 + 1.36797I
−2.38535 − 6.87236I 0
u = 1.141290 − 0.726387I
a = −0.135706 − 1.023370I
b = −1.05423 − 1.36797I
−2.38535 + 6.87236I 0
u = 0.288712 + 1.331530I
a = −0.130366 + 0.393722I
b = −0.061495 − 0.339967I
−0.266346 + 0.160518I 0
u = 0.288712 − 1.331530I
a = −0.130366 − 0.393722I
b = −0.061495 + 0.339967I
−0.266346 − 0.160518I 0
u = −1.258470 + 0.526294I
a = 0.583072 + 0.864035I
b = 1.25172 + 0.96195I
−4.54006 + 5.50754I 0
u = −1.258470 − 0.526294I
a = 0.583072 − 0.864035I
b = 1.25172 − 0.96195I
−4.54006 − 5.50754I 0
u = −1.295630 + 0.427334I
a = −0.537962 − 0.468614I
b = −1.186700 − 0.759780I
−0.554881 − 1.025030I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.295630 − 0.427334I
a = −0.537962 + 0.468614I
b = −1.186700 + 0.759780I
−0.554881 + 1.025030I 0
u = 1.373850 + 0.038120I
a = 0.130239 + 0.191716I
b = −0.777324 + 0.061404I
−7.70464 − 5.14143I 0
u = 1.373850 − 0.038120I
a = 0.130239 − 0.191716I
b = −0.777324 − 0.061404I
−7.70464 + 5.14143I 0
u = 0.417611 + 0.202193I
a = 1.29355 − 1.02443I
b = 0.653913 + 0.910609I
−0.663690 − 0.744854I −4.45232 − 4.17233I
u = 0.417611 − 0.202193I
a = 1.29355 + 1.02443I
b = 0.653913 − 0.910609I
−0.663690 + 0.744854I −4.45232 + 4.17233I
u = −0.024338 + 0.452523I
a = −0.171959 + 0.548405I
b = 0.458512 + 0.566102I
−0.03010 − 1.50384I −0.88120 + 3.70129I
u = −0.024338 − 0.452523I
a = −0.171959 − 0.548405I
b = 0.458512 − 0.566102I
−0.03010 + 1.50384I −0.88120 − 3.70129I
u = −0.131380 + 0.186264I
a = 1.04956 − 3.71809I
b = −0.856944 − 0.185472I
2.49958 + 1.42807I −0.811241 + 0.219630I
u = −0.131380 − 0.186264I
a = 1.04956 + 3.71809I
b = −0.856944 + 0.185472I
2.49958 − 1.42807I −0.811241 − 0.219630I
u = 1.85426
a = 0.0886439
b = 0.585950
0.130363 0
20
II. I
u
2
= h2.13 × 10
8
u
30
− 9.96 × 10
8
u
29
+ · · · + 1.36 × 10
8
b + 1.21 × 10
9
, 4.20 ×
10
9
u
30
−2.96×10
9
u
29
+· · ·+1.36×10
8
a+2.78×10
9
, 3u
31
−4u
30
+· · ·+6u−1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
−30.8872u
30
+ 21.7685u
29
+ ··· + 74.4405u − 20.4556
−1.56405u
30
+ 7.32326u
29
+ ··· + 30.3148u − 8.86565
a
4
=
43.7045u
30
− 58.2812u
29
+ ··· − 179.656u + 44.2673
3.84825u
30
− 11.8106u
29
+ ··· − 61.8249u + 14.4835
a
1
=
−u
2
+ 1
−u
4
a
11
=
−16.0469u
30
+ 7.31402u
29
+ ··· + 31.1831u − 9.23022
14.0442u
30
− 4.01176u
29
+ ··· + 6.18965u − 3.90038
a
6
=
u
u
a
9
=
−13.9138u
30
+ 5.46081u
29
+ ··· + 34.9102u − 12.2382
15.4094u
30
− 8.98443u
29
+ ··· − 9.21545u − 0.648204
a
5
=
−17.0103u
30
− 0.714734u
29
+ ··· − 17.8085u + 10.4871
−23.0103u
30
+ 7.28527u
29
+ ··· − 9.80851u + 5.48705
a
12
=
−44.2455u
30
+ 48.4813u
29
+ ··· + 139.478u − 33.4925
−24.8948u
30
+ 42.2026u
29
+ ··· + 69.5231u − 18.4446
a
8
=
−16.7776u
30
+ 33.8325u
29
+ ··· + 97.0449u − 27.2767
13.4658u
30
+ 13.5097u
29
+ ··· − 16.2875u − 1.12312
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
736852959
135981283
u
30
−
1582353156
135981283
u
29
+ ··· −
22773455801
135981283
u +
6148724960
135981283
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
9(9u
31
− 148u
30
+ ··· + 20u − 1)
c
2
3(3u
31
− 4u
30
+ ··· + 6u − 1)
c
3
u
31
− u
30
+ ··· + 85u − 27
c
4
u
31
+ 17u
29
+ ··· − 6u − 1
c
5
u
31
+ u
30
+ ··· + u − 1
c
6
3(3u
31
+ 4u
30
+ ··· + 6u + 1)
c
7
u
31
+ u
30
+ ··· + 13u + 3
c
8
3(3u
31
− 8u
30
+ ··· − 6u + 1)
c
9
u
31
− u
30
+ ··· + u + 1
c
10
u
31
− 11u
30
+ ··· + 13u + 9
c
11
3(3u
31
+ 8u
30
+ ··· − 6u − 1)
c
12
9(9u
31
− 22u
30
+ ··· − u − 1)
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
81(81y
31
+ 524y
30
+ ··· − 36y −1)
c
2
, c
6
9(9y
31
− 148y
30
+ ··· + 20y −1)
c
3
y
31
− y
30
+ ··· − 173y −729
c
4
y
31
+ 34y
30
+ ··· − 14y −1
c
5
, c
9
y
31
+ 5y
30
+ ··· − 11y −1
c
7
y
31
− 5y
30
+ ··· − 935y −9
c
8
, c
11
9(9y
31
− 130y
30
+ ··· + 24y −1)
c
10
y
31
− 21y
30
+ ··· − 173y −81
c
12
81(81y
31
+ 38y
30
+ ··· + 31y −1)
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.858612 + 0.515138I
a = −1.37622 − 4.01780I
b = −4.20794 − 1.18847I
−0.23644 + 2.08753I −76.5388 − 18.7559I
u = −0.858612 − 0.515138I
a = −1.37622 + 4.01780I
b = −4.20794 + 1.18847I
−0.23644 − 2.08753I −76.5388 + 18.7559I
u = −0.554897 + 0.800779I
a = −1.178170 − 0.395757I
b = −0.418130 + 0.174521I
3.01864 + 7.43696I −1.21621 − 5.74687I
u = −0.554897 − 0.800779I
a = −1.178170 + 0.395757I
b = −0.418130 − 0.174521I
3.01864 − 7.43696I −1.21621 + 5.74687I
u = 0.524538 + 0.745772I
a = −1.74125 + 0.86471I
b = −1.245180 − 0.325526I
−1.13995 + 3.19665I −3.05506 − 3.13305I
u = 0.524538 − 0.745772I
a = −1.74125 − 0.86471I
b = −1.245180 + 0.325526I
−1.13995 − 3.19665I −3.05506 + 3.13305I
u = −1.099630 + 0.179505I
a = 0.387377 − 0.823642I
b = 1.59666 − 0.53206I
−6.01219 − 1.53308I −14.08137 − 0.67990I
u = −1.099630 − 0.179505I
a = 0.387377 + 0.823642I
b = 1.59666 + 0.53206I
−6.01219 + 1.53308I −14.08137 + 0.67990I
u = −0.864052 + 0.726910I
a = −0.636623 + 0.903961I
b = −0.385938 + 0.741971I
4.90331 + 0.89421I 4.08447 − 2.70213I
u = −0.864052 − 0.726910I
a = −0.636623 − 0.903961I
b = −0.385938 − 0.741971I
4.90331 − 0.89421I 4.08447 + 2.70213I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.849906 + 0.058760I
a = 0.825237 − 1.071510I
b = −0.86381 − 1.18230I
−4.45902 − 1.94666I −9.14800 + 3.18189I
u = −0.849906 − 0.058760I
a = 0.825237 + 1.071510I
b = −0.86381 + 1.18230I
−4.45902 + 1.94666I −9.14800 − 3.18189I
u = −0.892665 + 0.731929I
a = 0.682175 − 0.625465I
b = 0.727682 − 0.893517I
4.81517 + 4.66893I 2.13436 − 1.39007I
u = −0.892665 − 0.731929I
a = 0.682175 + 0.625465I
b = 0.727682 + 0.893517I
4.81517 − 4.66893I 2.13436 + 1.39007I
u = 0.795550 + 0.274980I
a = 1.00612 − 2.25927I
b = 1.00091 − 1.35849I
2.03796 − 2.20994I 2.04278 + 6.67851I
u = 0.795550 − 0.274980I
a = 1.00612 + 2.25927I
b = 1.00091 + 1.35849I
2.03796 + 2.20994I 2.04278 − 6.67851I
u = −1.158700 + 0.301087I
a = −0.588705 + 0.169521I
b = 0.439569 + 0.612785I
−6.27566 + 3.15936I −11.05139 − 7.17760I
u = −1.158700 − 0.301087I
a = −0.588705 − 0.169521I
b = 0.439569 − 0.612785I
−6.27566 − 3.15936I −11.05139 + 7.17760I
u = 1.20116
a = 0.321074
b = 0.751310
0.450002 2.31810
u = 0.695611 + 0.357787I
a = −0.819311 + 0.319295I
b = −0.471929 − 0.895995I
−0.73116 − 1.41552I −5.92527 + 6.15050I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.695611 − 0.357787I
a = −0.819311 − 0.319295I
b = −0.471929 + 0.895995I
−0.73116 + 1.41552I −5.92527 − 6.15050I
u = 1.089780 + 0.545947I
a = 1.11925 − 1.38851I
b = 2.14114 − 1.43848I
0.34359 − 10.66130I −4.96669 + 10.12693I
u = 1.089780 − 0.545947I
a = 1.11925 + 1.38851I
b = 2.14114 + 1.43848I
0.34359 + 10.66130I −4.96669 − 10.12693I
u = 1.068000 + 0.637758I
a = −0.45706 + 1.91267I
b = −1.47558 + 2.18983I
−2.74890 − 8.49382I −4.24564 + 6.65481I
u = 1.068000 − 0.637758I
a = −0.45706 − 1.91267I
b = −1.47558 − 2.18983I
−2.74890 + 8.49382I −4.24564 − 6.65481I
u = 0.590911 + 0.445205I
a = 2.07403 − 2.32551I
b = 1.48160 − 0.99440I
2.11537 + 6.43570I −1.77775 − 7.83697I
u = 0.590911 − 0.445205I
a = 2.07403 + 2.32551I
b = 1.48160 + 0.99440I
2.11537 − 6.43570I −1.77775 + 7.83697I
u = 1.217690 + 0.497443I
a = −0.692808 + 0.996597I
b = −1.47488 + 1.01538I
−4.62923 − 5.90799I −5.7245 + 15.1795I
u = 1.217690 − 0.497443I
a = −0.692808 − 0.996597I
b = −1.47488 − 1.01538I
−4.62923 + 5.90799I −5.7245 − 15.1795I
u = 0.362483 + 0.194933I
a = −2.26457 + 2.15975I
b = −0.719818 + 0.877202I
−1.09611 + 2.27545I −6.14727 − 4.74459I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362483 − 0.194933I
a = −2.26457 − 2.15975I
b = −0.719818 − 0.877202I
−1.09611 − 2.27545I −6.14727 + 4.74459I
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
81(9u
31
− 148u
30
+ ··· + 20u − 1)
· (9u
160
+ 625u
159
+ ··· + 662313u + 37249)
c
2
9(3u
31
− 4u
30
+ ··· + 6u − 1)(3u
160
+ u
159
+ ··· − 331u + 193)
c
3
(u
31
− u
30
+ ··· + 85u − 27)(u
160
+ 2u
159
+ ··· + 138410u + 38043)
c
4
(u
31
+ 17u
29
+ ··· − 6u − 1)(u
160
− 3u
159
+ ··· + 8419865u − 580297)
c
5
(u
31
+ u
30
+ ··· + u − 1)(u
160
− 4u
159
+ ··· + 5365970u + 823609)
c
6
9(3u
31
+ 4u
30
+ ··· + 6u + 1)(3u
160
+ u
159
+ ··· − 331u + 193)
c
7
(u
31
+ u
30
+ ··· + 13u + 3)
· (u
160
− 10u
159
+ ··· − 10677820u + 828069)
c
8
9(3u
31
− 8u
30
+ ··· − 6u + 1)(3u
160
+ 7u
159
+ ··· + 27391u + 4289)
c
9
(u
31
− u
30
+ ··· + u + 1)(u
160
− 4u
159
+ ··· + 5365970u + 823609)
c
10
(u
31
− 11u
30
+ ··· + 13u + 9)
· (u
160
− 6u
159
+ ··· − 13655574u + 592191)
c
11
9(3u
31
+ 8u
30
+ ··· − 6u − 1)(3u
160
+ 7u
159
+ ··· + 27391u + 4289)
c
12
81(9u
31
− 22u
30
+ ··· − u − 1)(9u
160
+ 139u
159
+ ··· + 7244u + 959)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
6561(81y
31
+ 524y
30
+ ··· − 36y −1)
· (81y
160
+ 2819y
159
+ ··· + 777368917123y + 1387488001)
c
2
, c
6
81(9y
31
− 148y
30
+ ··· + 20y −1)
· (9y
160
− 625y
159
+ ··· − 662313y + 37249)
c
3
(y
31
− y
30
+ ··· − 173y −729)
· (y
160
− 10y
159
+ ··· + 181994273540y + 1447269849)
c
4
(y
31
+ 34y
30
+ ··· − 14y −1)
· (y
160
− 7y
159
+ ··· − 29142125376523y + 336744608209)
c
5
, c
9
(y
31
+ 5y
30
+ ··· − 11y −1)
· (y
160
− 76y
159
+ ··· − 6823756896730y + 678331784881)
c
7
(y
31
− 5y
30
+ ··· − 935y −9)
· (y
160
+ 22y
159
+ ··· + 33389274231554y + 685698268761)
c
8
, c
11
81(9y
31
− 130y
30
+ ··· + 24y −1)
· (9y
160
− 787y
159
+ ··· − 587147633y + 18395521)
c
10
(y
31
− 21y
30
+ ··· − 173y −81)
· (y
160
+ 6y
159
+ ··· + 12702120885144y + 350690180481)
c
12
6561(81y
31
+ 38y
30
+ ··· + 31y −1)
· (81y
160
− 583y
159
+ ··· − 11587612y + 919681)
31
