11a
282
(K11a
282
)
A knot diagram
1
Linearized knot diagam
9 5 1 11 2 10 4 3 6 7 8
Solving Sequence
1,4 3,8
9 2 7 11 5 10 6
c
3
c
8
c
1
c
7
c
11
c
4
c
10
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h2.13823 × 10
329
u
79
− 1.64855 × 10
330
u
78
+ ··· + 9.41459 × 10
329
b + 1.13698 × 10
331
,
− 1.24104 × 10
330
u
79
+ 9.42225 × 10
330
u
78
+ ··· + 1.88292 × 10
330
a − 8.31994 × 10
330
,
u
80
− 8u
79
+ ··· + 232u − 16i
I
u
2
= h3937680u
12
+ 7222127u
11
+ ··· + 33692213b + 110970935,
− 33661342u
12
− 112072005u
11
+ ··· + 707536473a − 1914131674,
u
13
+ 3u
12
+ u
11
− 5u
10
− 10u
9
− 11u
8
+ 21u
6
+ 22u
5
− 5u
4
− 6u
3
+ 32u
2
+ 49u + 21i
I
v
1
= ha, −6v
3
+ 4v
2
+ 5b − 33v + 13, v
4
− v
3
+ 6v
2
− 4v + 1i
* 3 irreducible components of dim
C
= 0, with total 97 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
= h2.14 × 10
329
u
79
− 1.65 × 10
330
u
78
+ · · · + 9.41 × 10
329
b + 1.14 ×
10
331
, −1.24 × 10
330
u
79
+ 9.42 × 10
330
u
78
+ · · · + 1.88 × 10
330
a − 8.32 ×
10
330
, u
80
− 8u
79
+ · · · + 232u − 16i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
0.659106u
79
− 5.00407u
78
+ ··· − 122.616u + 4.41864
−0.227119u
79
+ 1.75106u
78
+ ··· + 151.411u − 12.0768
a
9
=
0.472695u
79
− 3.57754u
78
+ ··· − 23.0170u − 3.35768
−0.204660u
79
+ 1.57688u
78
+ ··· + 139.369u − 11.0407
a
2
=
0.191836u
79
− 1.57834u
78
+ ··· − 74.5281u + 7.17744
0.252449u
79
− 1.90962u
78
+ ··· − 23.3077u + 1.27382
a
7
=
0.431988u
79
− 3.25301u
78
+ ··· + 28.7946u − 7.65818
−0.227119u
79
+ 1.75106u
78
+ ··· + 151.411u − 12.0768
a
11
=
−0.108601u
79
+ 0.694864u
78
+ ··· − 42.0396u + 5.25398
0.251916u
79
− 1.93686u
78
+ ··· − 58.9949u + 4.13119
a
5
=
−0.0246729u
79
+ 0.192222u
78
+ ··· + 0.535696u − 3.21204
−0.255007u
79
+ 1.91467u
78
+ ··· + 51.6752u − 3.40150
a
10
=
0.223539u
79
− 1.88491u
78
+ ··· − 80.6924u + 6.78770
0.436133u
79
− 3.33065u
78
+ ··· − 70.4389u + 4.43414
a
6
=
−0.0921991u
79
+ 0.895913u
78
+ ··· + 43.4256u − 3.45099
−0.411264u
79
+ 3.14443u
78
+ ··· + 63.0579u − 3.81043
a
6
=
−0.0921991u
79
+ 0.895913u
78
+ ··· + 43.4256u − 3.45099
−0.411264u
79
+ 3.14443u
78
+ ··· + 63.0579u − 3.81043
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.662366u
79
+ 5.15267u
78
+ ··· + 112.853u − 7.98177
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
80
− u
79
+ ··· + 166862u + 35227
c
2
, c
5
u
80
+ 3u
79
+ ··· + 537u + 55
c
3
u
80
− 8u
79
+ ··· + 232u − 16
c
4
u
80
− 3u
79
+ ··· − 1033u − 173
c
6
, c
9
, c
10
u
80
− 3u
79
+ ··· + 34u + 1
c
7
u
80
+ 3u
79
+ ··· + 357u − 319
c
8
u
80
+ 3u
78
+ ··· + 26u + 1
c
11
u
80
− 2u
79
+ ··· + 28u + 5
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
80
− 37y
79
+ ··· − 40557549062y + 1240941529
c
2
, c
5
y
80
+ 55y
79
+ ··· − 597359y + 3025
c
3
y
80
+ 8y
79
+ ··· + 1728y + 256
c
4
y
80
− 23y
79
+ ··· − 1094423y + 29929
c
6
, c
9
, c
10
y
80
− 91y
79
+ ··· − 880y + 1
c
7
y
80
+ 19y
79
+ ··· + 3233535y + 101761
c
8
y
80
+ 6y
79
+ ··· − 284y + 1
c
11
y
80
− 12y
79
+ ··· − 614y + 25
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.840683 + 0.530658I
a = 1.35694 + 0.42194I
b = −0.649032 − 1.118120I
4.67943 − 5.53958I 0
u = 0.840683 − 0.530658I
a = 1.35694 − 0.42194I
b = −0.649032 + 1.118120I
4.67943 + 5.53958I 0
u = 0.180021 + 0.949720I
a = −0.367561 + 0.226099I
b = 0.495810 − 1.018400I
2.87404 − 1.12286I 0
u = 0.180021 − 0.949720I
a = −0.367561 − 0.226099I
b = 0.495810 + 1.018400I
2.87404 + 1.12286I 0
u = −0.104754 + 0.947386I
a = −1.019370 + 0.771877I
b = −0.275736 + 0.979574I
8.07177 + 3.14572I 0
u = −0.104754 − 0.947386I
a = −1.019370 − 0.771877I
b = −0.275736 − 0.979574I
8.07177 − 3.14572I 0
u = 0.661970 + 0.670152I
a = 0.630442 − 0.139375I
b = −1.31406 + 0.69854I
2.00824 − 5.11347I 0
u = 0.661970 − 0.670152I
a = 0.630442 + 0.139375I
b = −1.31406 − 0.69854I
2.00824 + 5.11347I 0
u = −0.892356 + 0.677258I
a = 1.379940 − 0.203911I
b = −0.493046 + 0.873919I
0.18057 + 4.85137I 0
u = −0.892356 − 0.677258I
a = 1.379940 + 0.203911I
b = −0.493046 − 0.873919I
0.18057 − 4.85137I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.985954 + 0.565348I
a = −0.680804 + 0.032647I
b = 1.90069 − 0.40869I
8.36747 − 7.88982I 0
u = 0.985954 − 0.565348I
a = −0.680804 − 0.032647I
b = 1.90069 + 0.40869I
8.36747 + 7.88982I 0
u = −0.123573 + 0.830325I
a = −1.204170 − 0.462968I
b = 0.94407 − 1.46088I
12.6911 + 7.3736I 10.17010 − 5.87052I
u = −0.123573 − 0.830325I
a = −1.204170 + 0.462968I
b = 0.94407 + 1.46088I
12.6911 − 7.3736I 10.17010 + 5.87052I
u = −1.099290 + 0.392496I
a = −0.452143 − 0.129794I
b = 1.013660 + 0.291391I
−2.29379 + 0.10630I 0
u = −1.099290 − 0.392496I
a = −0.452143 + 0.129794I
b = 1.013660 − 0.291391I
−2.29379 − 0.10630I 0
u = 0.306099 + 0.749139I
a = 1.17339 + 1.71227I
b = 0.307186 + 0.932817I
12.2687 − 8.2177I 9.86670 + 6.29220I
u = 0.306099 − 0.749139I
a = 1.17339 − 1.71227I
b = 0.307186 − 0.932817I
12.2687 + 8.2177I 9.86670 − 6.29220I
u = −0.694646 + 0.970578I
a = 0.528065 + 0.382905I
b = −0.464932 + 0.052795I
−1.04673 + 2.15724I 0
u = −0.694646 − 0.970578I
a = 0.528065 − 0.382905I
b = −0.464932 − 0.052795I
−1.04673 − 2.15724I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.24309
a = 0.562759
b = −2.26176
2.97554 0
u = −0.237050 + 0.708818I
a = −1.70391 − 1.51624I
b = 0.096962 − 0.807799I
2.27021 + 2.30399I 10.35821 − 6.17851I
u = −0.237050 − 0.708818I
a = −1.70391 + 1.51624I
b = 0.096962 + 0.807799I
2.27021 − 2.30399I 10.35821 + 6.17851I
u = 0.542023 + 1.130380I
a = −1.275280 + 0.501763I
b = 0.686902 + 0.769875I
2.03522 − 6.05720I 0
u = 0.542023 − 1.130380I
a = −1.275280 − 0.501763I
b = 0.686902 − 0.769875I
2.03522 + 6.05720I 0
u = 0.600098 + 0.443545I
a = −1.68558 − 0.03962I
b = 0.580481 + 0.881463I
−0.19438 − 2.30796I −0.22105 + 1.92438I
u = 0.600098 − 0.443545I
a = −1.68558 + 0.03962I
b = 0.580481 − 0.881463I
−0.19438 + 2.30796I −0.22105 − 1.92438I
u = −1.25520
a = −0.463800
b = 1.40127
−2.39628 0
u = 0.031843 + 0.737888I
a = 1.61286 + 0.51963I
b = −0.793415 + 0.882844I
4.86209 + 2.93048I 10.03952 − 4.02142I
u = 0.031843 − 0.737888I
a = 1.61286 − 0.51963I
b = −0.793415 − 0.882844I
4.86209 − 2.93048I 10.03952 + 4.02142I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.134268 + 0.711933I
a = −1.92090 − 1.34681I
b = 0.091092 − 0.685075I
4.72557 − 3.64290I 11.77697 + 3.87111I
u = 0.134268 − 0.711933I
a = −1.92090 + 1.34681I
b = 0.091092 + 0.685075I
4.72557 + 3.64290I 11.77697 − 3.87111I
u = −0.773109 + 1.021590I
a = 1.037650 + 0.280309I
b = −0.636257 + 0.699388I
−0.70494 + 3.55934I 0
u = −0.773109 − 1.021590I
a = 1.037650 − 0.280309I
b = −0.636257 − 0.699388I
−0.70494 − 3.55934I 0
u = 0.503388 + 0.507249I
a = 1.49012 − 1.24386I
b = −0.436495 − 0.728628I
2.29106 + 1.38243I 5.34088 + 2.43199I
u = 0.503388 − 0.507249I
a = 1.49012 + 1.24386I
b = −0.436495 + 0.728628I
2.29106 − 1.38243I 5.34088 − 2.43199I
u = −0.618698 + 0.202823I
a = −1.75964 + 0.57403I
b = 0.882942 + 0.636078I
5.11206 + 0.66852I 4.43405 − 0.97778I
u = −0.618698 − 0.202823I
a = −1.75964 − 0.57403I
b = 0.882942 − 0.636078I
5.11206 − 0.66852I 4.43405 + 0.97778I
u = 0.037653 + 1.353780I
a = 0.50667 − 1.33040I
b = −0.007936 − 0.628942I
9.22965 + 1.15849I 0
u = 0.037653 − 1.353780I
a = 0.50667 + 1.33040I
b = −0.007936 + 0.628942I
9.22965 − 1.15849I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.606329 + 0.168371I
a = 0.448090 + 0.339379I
b = −0.90226 − 1.37943I
1.23578 − 1.64636I −4.64141 + 0.02219I
u = −0.606329 − 0.168371I
a = 0.448090 − 0.339379I
b = −0.90226 + 1.37943I
1.23578 + 1.64636I −4.64141 − 0.02219I
u = 0.391328 + 1.322250I
a = 0.119458 + 0.817321I
b = 0.388099 + 1.137900I
11.34390 + 2.19538I 0
u = 0.391328 − 1.322250I
a = 0.119458 − 0.817321I
b = 0.388099 − 1.137900I
11.34390 − 2.19538I 0
u = −1.27792 + 0.61735I
a = −0.960577 + 0.453365I
b = 0.688710 − 1.026030I
6.33830 + 6.39761I 0
u = −1.27792 − 0.61735I
a = −0.960577 − 0.453365I
b = 0.688710 + 1.026030I
6.33830 − 6.39761I 0
u = 0.032952 + 0.576655I
a = 1.46468 − 0.71797I
b = −0.101802 − 0.683648I
1.19697 + 0.93213I 5.66000 − 4.34612I
u = 0.032952 − 0.576655I
a = 1.46468 + 0.71797I
b = −0.101802 + 0.683648I
1.19697 − 0.93213I 5.66000 + 4.34612I
u = 0.95738 + 1.05845I
a = 0.724741 + 0.037351I
b = −0.848862 − 0.953885I
4.89732 − 3.26135I 0
u = 0.95738 − 1.05845I
a = 0.724741 − 0.037351I
b = −0.848862 + 0.953885I
4.89732 + 3.26135I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.31711 + 0.58795I
a = 0.317199 − 0.365878I
b = −0.650343 + 0.545302I
1.32833 + 5.02960I 0
u = 1.31711 − 0.58795I
a = 0.317199 + 0.365878I
b = −0.650343 − 0.545302I
1.32833 − 5.02960I 0
u = −0.91120 + 1.16270I
a = −0.915353 − 0.231344I
b = 0.867163 − 1.107560I
−0.36262 + 7.36216I 0
u = −0.91120 − 1.16270I
a = −0.915353 + 0.231344I
b = 0.867163 + 1.107560I
−0.36262 − 7.36216I 0
u = 0.84233 + 1.21734I
a = 1.048000 − 0.255925I
b = −0.861274 − 1.103910I
3.36104 − 12.42420I 0
u = 0.84233 − 1.21734I
a = 1.048000 + 0.255925I
b = −0.861274 + 1.103910I
3.36104 + 12.42420I 0
u = 0.090035 + 0.437599I
a = 1.30433 − 1.91862I
b = −0.33747 − 1.70963I
5.32179 − 3.40594I 2.62572 + 4.19099I
u = 0.090035 − 0.437599I
a = 1.30433 + 1.91862I
b = −0.33747 + 1.70963I
5.32179 + 3.40594I 2.62572 − 4.19099I
u = 0.97937 + 1.22317I
a = −0.701705 + 0.073709I
b = 1.12921 + 1.37276I
12.19820 − 2.98748I 0
u = 0.97937 − 1.22317I
a = −0.701705 − 0.073709I
b = 1.12921 − 1.37276I
12.19820 + 2.98748I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.10845 + 1.13168I
a = −0.556064 − 0.215884I
b = 0.231975 + 0.619801I
4.41415 − 4.62933I 0
u = 1.10845 − 1.13168I
a = −0.556064 + 0.215884I
b = 0.231975 − 0.619801I
4.41415 + 4.62933I 0
u = −0.62097 + 1.48212I
a = −0.603775 − 0.282250I
b = −0.083111 − 0.634277I
6.44646 + 1.55360I 0
u = −0.62097 − 1.48212I
a = −0.603775 + 0.282250I
b = −0.083111 + 0.634277I
6.44646 − 1.55360I 0
u = −0.22286 + 1.62378I
a = 0.179632 − 0.083745I
b = 0.047288 + 0.965549I
10.69120 + 0.96957I 0
u = −0.22286 − 1.62378I
a = 0.179632 + 0.083745I
b = 0.047288 − 0.965549I
10.69120 − 0.96957I 0
u = 0.358983
a = 2.21477
b = −0.931576
1.95889 7.65550
u = 0.194090 + 0.272092I
a = −0.20112 + 2.73214I
b = 0.150945 − 0.683093I
−0.19507 + 1.98978I −2.02649 − 3.13292I
u = 0.194090 − 0.272092I
a = −0.20112 − 2.73214I
b = 0.150945 + 0.683093I
−0.19507 − 1.98978I −2.02649 + 3.13292I
u = −0.99878 + 1.34734I
a = 0.801356 + 0.223250I
b = −0.95541 + 1.44182I
6.72098 + 9.95443I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.99878 − 1.34734I
a = 0.801356 − 0.223250I
b = −0.95541 − 1.44182I
6.72098 − 9.95443I 0
u = 1.01708 + 1.33898I
a = −0.912261 + 0.182240I
b = 0.90323 + 1.34714I
11.3034 − 16.6494I 0
u = 1.01708 − 1.33898I
a = −0.912261 − 0.182240I
b = 0.90323 − 1.34714I
11.3034 + 16.6494I 0
u = 0.301070 + 0.097438I
a = −2.96038 − 0.47685I
b = 0.388094 + 0.934223I
−0.23009 − 2.03396I −1.94973 + 4.80886I
u = 0.301070 − 0.097438I
a = −2.96038 + 0.47685I
b = 0.388094 − 0.934223I
−0.23009 + 2.03396I −1.94973 − 4.80886I
u = 1.32759 + 1.28115I
a = 0.435680 + 0.292556I
b = 0.216379 − 0.662813I
11.14960 − 5.91154I 0
u = 1.32759 − 1.28115I
a = 0.435680 − 0.292556I
b = 0.216379 + 0.662813I
11.14960 + 5.91154I 0
u = 2.04806 + 0.66379I
a = −0.202686 + 0.177029I
b = 0.815165 − 0.599211I
9.02729 + 7.18461I 0
u = 2.04806 − 0.66379I
a = −0.202686 − 0.177029I
b = 0.815165 + 0.599211I
9.02729 − 7.18461I 0
u = −2.35929
a = 0.234357
b = −1.23717
3.63331 0
12
II.
I
u
2
= h3.94 × 10
6
u
12
+ 7.22 × 10
6
u
11
+ · · · + 3.37 × 10
7
b + 1.11 × 10
8
, −3.37 ×
10
7
u
12
−1.12×10
8
u
11
+· · ·+7.08×10
8
a−1.91×10
9
, u
13
+3u
12
+· · ·+49u+21i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
8
=
0.0475754u
12
+ 0.158397u
11
+ ··· + 2.63182u + 2.70535
−0.116872u
12
− 0.214356u
11
+ ··· − 3.15940u − 3.29367
a
9
=
−0.0939626u
12
− 0.177550u
11
+ ··· − 2.29456u − 0.917416
−0.0984380u
12
− 0.132288u
11
+ ··· − 1.78704u − 1.43167
a
2
=
−0.0974548u
12
− 0.134968u
11
+ ··· − 2.14972u − 0.168948
0.131921u
12
+ 0.252476u
11
+ ··· + 4.12715u + 1.92149
a
7
=
−0.0692967u
12
− 0.0559585u
11
+ ··· − 0.527582u − 0.588320
−0.116872u
12
− 0.214356u
11
+ ··· − 3.15940u − 3.29367
a
11
=
0.0150781u
12
+ 0.149314u
11
+ ··· + 2.70377u + 1.59189
0.152024u
12
+ 0.245102u
11
+ ··· + 4.10179u + 1.80867
a
5
=
0.374581u
12
+ 0.853567u
11
+ ··· + 12.5909u + 8.34154
−0.000258220u
12
− 0.163285u
11
+ ··· − 2.83369u − 3.28985
a
10
=
−0.0491972u
12
− 0.0739141u
11
+ ··· − 0.447523u − 1.40184
−0.205857u
12
− 0.543635u
11
+ ··· − 6.96965u − 6.24448
a
6
=
0.308684u
12
+ 0.714823u
11
+ ··· + 9.62392u + 6.65131
0.0104863u
12
− 0.0908456u
11
+ ··· − 1.82459u − 1.81409
a
6
=
0.308684u
12
+ 0.714823u
11
+ ··· + 9.62392u + 6.65131
0.0104863u
12
− 0.0908456u
11
+ ··· − 1.82459u − 1.81409
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
68717915
33692213
u
12
−
144911480
33692213
u
11
+ ··· −
2024942532
33692213
u −
1491879585
33692213
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
13
+ 2u
12
+ ··· − 5u + 1
c
2
u
13
− 4u
12
+ ··· + u − 1
c
3
u
13
+ 3u
12
+ ··· + 49u + 21
c
4
u
13
+ 2u
12
+ ··· + u − 1
c
5
u
13
+ 4u
12
+ ··· + u + 1
c
6
u
13
− 2u
12
+ ··· − 2u − 1
c
7
u
13
− u
12
− 2u
11
+ 2u
10
− 2u
8
− u
7
+ 4u
6
+ 3u
5
− 3u
3
+ u
2
+ 1
c
8
u
13
+ u
11
− 3u
10
+ 3u
8
+ 4u
7
− u
6
− 2u
5
+ 2u
3
− 2u
2
− u + 1
c
9
, c
10
u
13
+ 2u
12
+ ··· − 2u + 1
c
11
u
13
− 3u
12
+ ··· − 3u + 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
13
+ 4y
12
+ ··· + 29y −1
c
2
, c
5
y
13
+ 6y
12
+ ··· − 11y −1
c
3
y
13
− 7y
12
+ ··· + 1057y −441
c
4
y
13
− 12y
12
+ ··· + 13y −1
c
6
, c
9
, c
10
y
13
− 18y
12
+ ··· + 12y −1
c
7
y
13
− 5y
12
+ ··· − 2y −1
c
8
y
13
+ 2y
12
+ ··· + 5y −1
c
11
y
13
− 3y
12
+ ··· + 5y −1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768609 + 0.743048I
a = 0.838700 + 0.429088I
b = −0.682142 − 0.364870I
3.33972 − 4.33224I 4.51841 + 6.25661I
u = 0.768609 − 0.743048I
a = 0.838700 − 0.429088I
b = −0.682142 + 0.364870I
3.33972 + 4.33224I 4.51841 − 6.25661I
u = −0.715463 + 0.860111I
a = −1.375700 − 0.204288I
b = 0.466212 − 0.815541I
0.19353 + 4.01825I 5.07811 − 3.58457I
u = −0.715463 − 0.860111I
a = −1.375700 + 0.204288I
b = 0.466212 + 0.815541I
0.19353 − 4.01825I 5.07811 + 3.58457I
u = −0.870665
a = 0.951912
b = −1.42390
1.14758 −4.24720
u = −0.968338 + 0.637475I
a = 1.292330 − 0.362604I
b = −0.628375 + 1.103970I
4.22742 + 6.07962I 0.91502 − 8.74867I
u = −0.968338 − 0.637475I
a = 1.292330 + 0.362604I
b = −0.628375 − 1.103970I
4.22742 − 6.07962I 0.91502 + 8.74867I
u = −1.34419
a = −0.408092
b = 1.43448
−2.26807 34.5600
u = 0.00435 + 1.46092I
a = −0.149225 + 1.012290I
b = 0.175413 + 0.577835I
8.89202 + 0.82727I 4.04156 + 4.08922I
u = 0.00435 − 1.46092I
a = −0.149225 − 1.012290I
b = 0.175413 − 0.577835I
8.89202 − 0.82727I 4.04156 − 4.08922I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.48432 + 0.24480I
a = −0.154170 − 0.386128I
b = 0.908130 + 0.483059I
9.88557 − 6.91082I 8.71754 + 5.73372I
u = 1.48432 − 0.24480I
a = −0.154170 + 0.386128I
b = 0.908130 − 0.483059I
9.88557 + 6.91082I 8.71754 − 5.73372I
u = −1.93211
a = 0.218986
b = −1.48905
3.97174 14.1460
17
III. I
v
1
= ha, −6v
3
+ 4v
2
+ 5b − 33v + 13, v
4
− v
3
+ 6v
2
− 4v + 1i
(i) Arc colorings
a
1
=
v
0
a
4
=
1
0
a
3
=
1
0
a
8
=
0
6
5
v
3
−
4
5
v
2
+
33
5
v −
13
5
a
9
=
6
5
v
3
−
4
5
v
2
+
33
5
v −
13
5
6
5
v
3
−
4
5
v
2
+
33
5
v −
13
5
a
2
=
3
5
v
3
−
2
5
v
2
+
24
5
v −
4
5
3
5
v
3
−
2
5
v
2
+
19
5
v −
4
5
a
7
=
6
5
v
3
−
4
5
v
2
+
33
5
v −
13
5
6
5
v
3
−
4
5
v
2
+
33
5
v −
13
5
a
11
=
v
3
5
v
3
−
2
5
v
2
+
19
5
v −
4
5
a
5
=
−
1
5
v
3
−
1
5
v
2
−
8
5
v +
8
5
−
3
5
v
3
+
2
5
v
2
−
19
5
v +
9
5
a
10
=
6
5
v
3
−
4
5
v
2
+
38
5
v −
13
5
9
5
v
3
−
6
5
v
2
+
52
5
v −
17
5
a
6
=
−v
−
3
5
v
3
+
2
5
v
2
−
19
5
v +
4
5
a
6
=
−v
−
3
5
v
3
+
2
5
v
2
−
19
5
v +
4
5
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
32
5
v
3
+
28
5
v
2
−
191
5
v +
96
5
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
4
− 2u
3
+ u + 1
c
2
, c
4
(u
2
− u + 1)
2
c
3
u
4
c
5
(u
2
+ u + 1)
2
c
6
(u + 1)
4
c
7
, c
8
u
4
− u
3
+ 3u
2
− u + 1
c
9
, c
10
(u − 1)
4
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
4
− 4y
3
+ 6y
2
− y + 1
c
2
, c
4
, c
5
(y
2
+ y + 1)
2
c
3
y
4
c
6
, c
9
, c
10
(y − 1)
4
c
7
, c
8
y
4
+ 5y
3
+ 9y
2
+ 5y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 0.351597 + 0.233523I
a = 0
b = −0.35160 + 1.49853I
1.64493 + 2.02988I 6.24584 − 8.47377I
v = 0.351597 − 0.233523I
a = 0
b = −0.35160 − 1.49853I
1.64493 − 2.02988I 6.24584 + 8.47377I
v = 0.14840 + 2.36455I
a = 0
b = −0.148403 − 0.632502I
1.64493 + 2.02988I −1.74584 − 2.78456I
v = 0.14840 − 2.36455I
a = 0
b = −0.148403 + 0.632502I
1.64493 − 2.02988I −1.74584 + 2.78456I
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
4
− 2u
3
+ u + 1)(u
13
+ 2u
12
+ ··· − 5u + 1)
· (u
80
− u
79
+ ··· + 166862u + 35227)
c
2
((u
2
− u + 1)
2
)(u
13
− 4u
12
+ ··· + u − 1)(u
80
+ 3u
79
+ ··· + 537u + 55)
c
3
u
4
(u
13
+ 3u
12
+ ··· + 49u + 21)(u
80
− 8u
79
+ ··· + 232u − 16)
c
4
((u
2
− u + 1)
2
)(u
13
+ 2u
12
+ ··· + u − 1)
· (u
80
− 3u
79
+ ··· − 1033u − 173)
c
5
((u
2
+ u + 1)
2
)(u
13
+ 4u
12
+ ··· + u + 1)(u
80
+ 3u
79
+ ··· + 537u + 55)
c
6
((u + 1)
4
)(u
13
− 2u
12
+ ··· − 2u − 1)(u
80
− 3u
79
+ ··· + 34u + 1)
c
7
(u
4
− u
3
+ 3u
2
− u + 1)
· (u
13
− u
12
− 2u
11
+ 2u
10
− 2u
8
− u
7
+ 4u
6
+ 3u
5
− 3u
3
+ u
2
+ 1)
· (u
80
+ 3u
79
+ ··· + 357u − 319)
c
8
(u
4
− u
3
+ 3u
2
− u + 1)
· (u
13
+ u
11
− 3u
10
+ 3u
8
+ 4u
7
− u
6
− 2u
5
+ 2u
3
− 2u
2
− u + 1)
· (u
80
+ 3u
78
+ ··· + 26u + 1)
c
9
, c
10
((u − 1)
4
)(u
13
+ 2u
12
+ ··· − 2u + 1)(u
80
− 3u
79
+ ··· + 34u + 1)
c
11
(u
4
− 2u
3
+ u + 1)(u
13
− 3u
12
+ ··· − 3u + 1)(u
80
− 2u
79
+ ··· + 28u + 5)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
4
− 4y
3
+ 6y
2
− y + 1)(y
13
+ 4y
12
+ ··· + 29y − 1)
· (y
80
− 37y
79
+ ··· − 40557549062y + 1240941529)
c
2
, c
5
((y
2
+ y + 1)
2
)(y
13
+ 6y
12
+ ··· − 11y − 1)
· (y
80
+ 55y
79
+ ··· − 597359y + 3025)
c
3
y
4
(y
13
− 7y
12
+ ··· + 1057y − 441)(y
80
+ 8y
79
+ ··· + 1728y + 256)
c
4
((y
2
+ y + 1)
2
)(y
13
− 12y
12
+ ··· + 13y − 1)
· (y
80
− 23y
79
+ ··· − 1094423y + 29929)
c
6
, c
9
, c
10
((y − 1)
4
)(y
13
− 18y
12
+ ··· + 12y − 1)(y
80
− 91y
79
+ ··· − 880y + 1)
c
7
(y
4
+ 5y
3
+ 9y
2
+ 5y + 1)(y
13
− 5y
12
+ ··· − 2y − 1)
· (y
80
+ 19y
79
+ ··· + 3233535y + 101761)
c
8
(y
4
+ 5y
3
+ 9y
2
+ 5y + 1)(y
13
+ 2y
12
+ ··· + 5y − 1)
· (y
80
+ 6y
79
+ ··· − 284y + 1)
c
11
(y
4
− 4y
3
+ 6y
2
− y + 1)(y
13
− 3y
12
+ ··· + 5y − 1)
· (y
80
− 12y
79
+ ··· − 614y + 25)
23
