12a
0976
(K12a
0976
)
A knot diagram
1
Linearized knot diagam
4 6 11 7 9 2 1 12 5 8 3 10
Solving Sequence
3,11
4
6,12
2 7 1 8 9 5 10
c
3
c
11
c
2
c
6
c
1
c
7
c
8
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.36792 × 10
27
u
40
+ 8.13492 × 10
26
u
39
+ ··· + 1.40941 × 10
28
b + 7.10735 × 10
27
,
− 7.39544 × 10
27
u
40
+ 5.79824 × 10
27
u
39
+ ··· + 4.69805 × 10
27
a − 1.57638 × 10
28
, u
41
− u
40
+ ··· + 16u − 4i
I
u
2
= h3.76586 × 10
963
u
151
+ 1.26628 × 10
964
u
150
+ ··· + 6.29219 × 10
964
b − 9.83778 × 10
965
,
3.81143 × 10
966
u
151
+ 1.59111 × 10
967
u
150
+ ··· + 7.99108 × 10
966
a − 5.06361 × 10
967
,
u
152
+ 4u
151
+ ··· + 5344u + 127i
I
u
3
= h−4u
15
− 2u
14
+ ··· + b + 11, 4u
15
+ 25u
14
+ ··· + 3a + 48, u
16
+ u
15
+ ··· − 3u + 3i
I
u
4
= h1.46396 × 10
31
u
35
− 5.32684 × 10
31
u
34
+ ··· + 6.50328 × 10
30
b − 1.74691 × 10
32
,
2.40645 × 10
32
u
35
− 8.53847 × 10
32
u
34
+ ··· + 1.30066 × 10
31
a + 2.12996 × 10
33
, u
36
− 5u
35
+ ··· − 24u + 4i
I
v
1
= ha, b + v, v
2
− v + 1i
* 5 irreducible components of dim
C
= 0, with total 247 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−9.37×10
27
u
40
+8.13×10
26
u
39
+· · ·+1.41×10
28
b+7.11×10
27
, −7.40×
10
27
u
40
+5.80×10
27
u
39
+· · ·+4.70×10
27
a−1.58×10
28
, u
41
−u
40
+· · ·+16u−4i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
6
=
1.57415u
40
− 1.23418u
39
+ ··· − 15.1906u + 3.35539
0.664667u
40
− 0.0577185u
39
+ ··· − 1.60599u − 0.504277
a
12
=
u
u
a
2
=
−1.08851u
40
+ 1.67936u
39
+ ··· + 22.4118u − 4.32639
−0.617870u
40
+ 0.662158u
39
+ ··· + 8.27389u − 1.88526
a
7
=
1.85378u
40
− 2.97661u
39
+ ··· − 44.3273u + 10.8054
1.40222u
40
− 1.50444u
39
+ ··· − 19.8467u + 4.01319
a
1
=
−0.478088u
40
+ 1.13344u
39
+ ··· + 16.8780u − 3.84825
−0.165222u
40
+ 0.391963u
39
+ ··· + 6.86426u − 2.14327
a
8
=
0.0710383u
40
+ 0.170175u
39
+ ··· + 1.05064u + 1.10767
−0.763787u
40
+ 1.64557u
39
+ ··· + 24.2806u − 6.20023
a
9
=
1.10180u
40
− 0.871388u
39
+ ··· − 12.5378u + 3.66997
0.266978u
40
+ 0.604011u
39
+ ··· + 10.6921u − 3.63794
a
5
=
1.34374u
40
+ 0.0709335u
39
+ ··· − 1.23170u − 1.05183
−0.206321u
40
+ 0.857204u
39
+ ··· + 6.30360u − 1.57219
a
10
=
0.312866u
40
− 0.741479u
39
+ ··· − 10.0138u + 1.70498
0.383904u
40
− 0.571305u
39
+ ··· − 8.96313u + 2.81265
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
3034752482244072423566867802
1174511702315840550034715077
u
40
−
142264458706085874111596356
1174511702315840550034715077
u
39
+
··· −
38859810324958590784929033798
1174511702315840550034715077
u +
26045816357872276194720333966
1174511702315840550034715077
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
41
− u
40
+ ··· + 5u − 1
c
2
, c
6
u
41
− 18u
40
+ ··· + 3856u − 272
c
3
, c
5
, c
9
c
11
u
41
− u
40
+ ··· + 16u − 4
c
7
u
41
− 35u
40
+ ··· + 9437184u − 524288
c
8
u
41
− 28u
40
+ ··· + 146856u − 11968
c
10
, c
12
u
41
+ u
40
+ ··· − u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
41
− 17y
40
+ ··· + 47y −1
c
2
, c
6
y
41
+ 30y
40
+ ··· + 474496y −73984
c
3
, c
5
, c
9
c
11
y
41
+ 29y
40
+ ··· + 208y
2
− 16
c
7
y
41
+ 9y
40
+ ··· + 1649267441664y −274877906944
c
8
y
41
− 8y
40
+ ··· − 428680128y −143233024
c
10
, c
12
y
41
+ 7y
40
+ ··· + y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.355254 + 0.957355I
a = −0.943476 − 0.548882I
b = −0.725619 + 0.128110I
−1.17120 + 5.93299I 4.82099 − 13.25602I
u = 0.355254 − 0.957355I
a = −0.943476 + 0.548882I
b = −0.725619 − 0.128110I
−1.17120 − 5.93299I 4.82099 + 13.25602I
u = 0.182709 + 0.955930I
a = 0.59415 − 2.33874I
b = −0.78874 − 1.31820I
−3.41939 − 0.61188I −4.06956 + 3.27847I
u = 0.182709 − 0.955930I
a = 0.59415 + 2.33874I
b = −0.78874 + 1.31820I
−3.41939 + 0.61188I −4.06956 − 3.27847I
u = 0.312542 + 1.016120I
a = −0.170843 + 0.707646I
b = 0.887449 + 0.244109I
−2.15556 + 2.75564I 2.75882 − 3.02176I
u = 0.312542 − 1.016120I
a = −0.170843 − 0.707646I
b = 0.887449 − 0.244109I
−2.15556 − 2.75564I 2.75882 + 3.02176I
u = −0.829768 + 0.414937I
a = 0.401759 + 0.549858I
b = −0.795790 + 0.091594I
3.84345 + 4.13042I 11.18782 − 2.61819I
u = −0.829768 − 0.414937I
a = 0.401759 − 0.549858I
b = −0.795790 − 0.091594I
3.84345 − 4.13042I 11.18782 + 2.61819I
u = 1.057050 + 0.246411I
a = 0.173938 + 0.652642I
b = −0.417916 + 1.222970I
0.36430 − 8.56808I 5.99108 + 6.74347I
u = 1.057050 − 0.246411I
a = 0.173938 − 0.652642I
b = −0.417916 − 1.222970I
0.36430 + 8.56808I 5.99108 − 6.74347I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.282856 + 1.165060I
a = −0.606099 − 0.167833I
b = −1.38265 + 0.62746I
−5.75137 + 3.96802I −4.24316 − 1.27024I
u = 0.282856 − 1.165060I
a = −0.606099 + 0.167833I
b = −1.38265 − 0.62746I
−5.75137 − 3.96802I −4.24316 + 1.27024I
u = −0.765233 + 0.027384I
a = 0.544878 + 0.272827I
b = −0.346266 + 1.126520I
−1.84700 − 2.91345I 3.24294 + 4.74634I
u = −0.765233 − 0.027384I
a = 0.544878 − 0.272827I
b = −0.346266 − 1.126520I
−1.84700 + 2.91345I 3.24294 − 4.74634I
u = −0.355013 + 1.204340I
a = −0.592249 + 0.345245I
b = 0.348655 + 0.463430I
−5.80010 − 0.30487I −4.31941 − 0.73616I
u = −0.355013 − 1.204340I
a = −0.592249 − 0.345245I
b = 0.348655 − 0.463430I
−5.80010 + 0.30487I −4.31941 + 0.73616I
u = −0.357497 + 1.225470I
a = 0.65659 + 2.23078I
b = −0.481655 + 1.303690I
−4.91754 − 10.74480I 4.64446 + 9.26386I
u = −0.357497 − 1.225470I
a = 0.65659 − 2.23078I
b = −0.481655 − 1.303690I
−4.91754 + 10.74480I 4.64446 − 9.26386I
u = 0.198188 + 0.673749I
a = −1.44436 + 0.31882I
b = −0.520200 − 0.640823I
−1.58494 + 6.26446I 1.10892 − 8.48549I
u = 0.198188 − 0.673749I
a = −1.44436 − 0.31882I
b = −0.520200 + 0.640823I
−1.58494 − 6.26446I 1.10892 + 8.48549I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.470339 + 0.520796I
a = 0.949040 − 0.250865I
b = −0.692863 − 0.570833I
1.54510 + 1.18608I 8.80668 + 0.32091I
u = 0.470339 − 0.520796I
a = 0.949040 + 0.250865I
b = −0.692863 + 0.570833I
1.54510 − 1.18608I 8.80668 − 0.32091I
u = −0.541532 + 0.429703I
a = 0.798167 − 0.298634I
b = −0.584304 − 1.023470I
0.13834 + 3.71774I 8.24552 − 0.59208I
u = −0.541532 − 0.429703I
a = 0.798167 + 0.298634I
b = −0.584304 + 1.023470I
0.13834 − 3.71774I 8.24552 + 0.59208I
u = 0.201344 + 1.294790I
a = −0.60451 + 1.70665I
b = −0.53100 + 2.37595I
−7.25907 + 6.02782I −24.9299 − 9.4175I
u = 0.201344 − 1.294790I
a = −0.60451 − 1.70665I
b = −0.53100 − 2.37595I
−7.25907 − 6.02782I −24.9299 + 9.4175I
u = −0.507037 + 1.212430I
a = 0.94888 + 1.67421I
b = −0.74687 + 1.42147I
−8.9112 − 11.8653I −2.47418 + 10.59886I
u = −0.507037 − 1.212430I
a = 0.94888 − 1.67421I
b = −0.74687 − 1.42147I
−8.9112 + 11.8653I −2.47418 − 10.59886I
u = −0.652124 + 1.149880I
a = −1.07807 − 1.24272I
b = 0.270848 − 1.313070I
−7.26445 − 6.58554I 0. + 6.24258I
u = −0.652124 − 1.149880I
a = −1.07807 + 1.24272I
b = 0.270848 + 1.313070I
−7.26445 + 6.58554I 0. − 6.24258I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.553913 + 1.274090I
a = −0.220887 + 0.527421I
b = −1.392050 + 0.043136I
−1.6816 − 14.7698I 0. + 10.08826I
u = −0.553913 − 1.274090I
a = −0.220887 − 0.527421I
b = −1.392050 − 0.043136I
−1.6816 + 14.7698I 0. − 10.08826I
u = 0.486851 + 0.244403I
a = 1.85925 − 0.90732I
b = −0.273613 − 0.988318I
0.022808 − 0.870233I 6.94699 + 0.81647I
u = 0.486851 − 0.244403I
a = 1.85925 + 0.90732I
b = −0.273613 + 0.988318I
0.022808 + 0.870233I 6.94699 − 0.81647I
u = −0.05192 + 1.46914I
a = −0.22904 − 1.73436I
b = −0.21282 − 1.46235I
−13.31590 + 0.60859I 0
u = −0.05192 − 1.46914I
a = −0.22904 + 1.73436I
b = −0.21282 + 1.46235I
−13.31590 − 0.60859I 0
u = 0.65516 + 1.35458I
a = −1.01542 + 1.19287I
b = 0.174557 + 1.168400I
−8.10806 + 2.31475I 0
u = 0.65516 − 1.35458I
a = −1.01542 − 1.19287I
b = 0.174557 − 1.168400I
−8.10806 − 2.31475I 0
u = 0.70626 + 1.36288I
a = 0.87484 − 1.51677I
b = −0.61588 − 1.45307I
−6.3818 + 21.6497I 0
u = 0.70626 − 1.36288I
a = 0.87484 + 1.51677I
b = −0.61588 + 1.45307I
−6.3818 − 21.6497I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.410975
a = 1.20694
b = −0.346533
0.911167 11.2160
9
II. I
u
2
= h3.77 × 10
963
u
151
+ 1.27 × 10
964
u
150
+ · · · + 6.29 × 10
964
b − 9.84 ×
10
965
, 3.81 × 10
966
u
151
+ 1.59 × 10
967
u
150
+ · · · + 7.99 × 10
966
a − 5.06 ×
10
967
, u
152
+ 4u
151
+ · · · + 5344u + 127i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
6
=
−0.476961u
151
− 1.99111u
150
+ ··· − 829.800u + 6.33658
−0.0598497u
151
− 0.201247u
150
+ ··· + 601.956u + 15.6349
a
12
=
u
u
a
2
=
−0.550082u
151
− 1.82843u
150
+ ··· + 1728.55u + 60.0372
−0.286239u
151
− 0.977703u
150
+ ··· + 1408.59u + 35.6321
a
7
=
−0.476089u
151
− 1.67154u
150
+ ··· + 290.281u + 41.1953
−0.407293u
151
− 1.47309u
150
+ ··· + 1449.28u + 37.6940
a
1
=
−0.390488u
151
− 1.29157u
150
+ ··· + 1219.57u + 48.4380
−0.0987343u
151
− 0.315899u
150
+ ··· + 886.357u + 22.7394
a
8
=
0.201437u
151
+ 0.956029u
150
+ ··· + 1264.00u + 65.5938
−0.0108564u
151
− 0.0121123u
150
+ ··· + 553.852u + 14.7828
a
9
=
0.278529u
151
+ 1.33447u
150
+ ··· + 1926.73u + 80.7029
0.0662356u
151
+ 0.366329u
150
+ ··· + 1216.58u + 29.8919
a
5
=
−0.421507u
151
− 1.67481u
150
+ ··· − 2145.24u − 39.1653
−0.351584u
151
− 1.43290u
150
+ ··· + 101.022u + 4.75533
a
10
=
−0.475745u
151
− 1.99625u
150
+ ··· − 2006.72u − 31.0923
−0.563910u
151
− 2.24307u
150
+ ··· + 90.2285u + 5.33301
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.75818u
151
− 30.4274u
150
+ ··· − 15015.3u − 319.503
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
152
− 12u
151
+ ··· − 8870u + 337
c
2
, c
6
(u
76
+ 8u
75
+ ··· + 21348u + 1357)
2
c
3
, c
5
, c
9
c
11
u
152
+ 4u
151
+ ··· + 5344u + 127
c
7
(u
76
+ 14u
75
+ ··· + 18u + 1)
2
c
8
(u
76
+ 11u
75
+ ··· + 3116u + 157)
2
c
10
, c
12
u
152
+ 16u
151
+ ··· + 41u + 1
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
152
− 10y
151
+ ··· − 12017626y + 113569
c
2
, c
6
(y
76
+ 56y
75
+ ··· + 18480116y + 1841449)
2
c
3
, c
5
, c
9
c
11
y
152
+ 94y
151
+ ··· + 27521308y + 16129
c
7
(y
76
+ 28y
75
+ ··· − 14y + 1)
2
c
8
(y
76
− y
75
+ ··· − 25068y + 24649)
2
c
10
, c
12
y
152
− 12y
151
+ ··· + 199y + 1
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.321675 + 0.948571I
a = −0.555763 − 0.631177I
b = 0.098447 + 0.825085I
−2.38966 + 1.51567I 0
u = 0.321675 − 0.948571I
a = −0.555763 + 0.631177I
b = 0.098447 − 0.825085I
−2.38966 − 1.51567I 0
u = −0.205022 + 1.014360I
a = −0.901906 + 0.599388I
b = −1.52601 + 0.32594I
−1.36965 − 5.17554I 0
u = −0.205022 − 1.014360I
a = −0.901906 − 0.599388I
b = −1.52601 − 0.32594I
−1.36965 + 5.17554I 0
u = 0.134529 + 0.951621I
a = 3.08877 + 2.50158I
b = −0.132437 + 1.101920I
−1.35819 + 0.58027I 0
u = 0.134529 − 0.951621I
a = 3.08877 − 2.50158I
b = −0.132437 − 1.101920I
−1.35819 − 0.58027I 0
u = −0.948627 + 0.151897I
a = −0.906818 − 0.940951I
b = 0.962946 + 0.117211I
1.78749 + 9.29186I 0
u = −0.948627 − 0.151897I
a = −0.906818 + 0.940951I
b = 0.962946 − 0.117211I
1.78749 − 9.29186I 0
u = 0.677106 + 0.791269I
a = 0.672491 + 0.225401I
b = −0.153567 − 0.947062I
1.44692 + 2.60945I 0
u = 0.677106 − 0.791269I
a = 0.672491 − 0.225401I
b = −0.153567 + 0.947062I
1.44692 − 2.60945I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.068993 + 0.937182I
a = 0.64758 − 2.46758I
b = 0.088101 − 1.173320I
0.01967 − 1.55847I 0
u = 0.068993 − 0.937182I
a = 0.64758 + 2.46758I
b = 0.088101 + 1.173320I
0.01967 + 1.55847I 0
u = 0.022949 + 0.929780I
a = −0.064307 + 0.800528I
b = 0.773085 + 0.134427I
−2.25254 + 2.60045I 0
u = 0.022949 − 0.929780I
a = −0.064307 − 0.800528I
b = 0.773085 − 0.134427I
−2.25254 − 2.60045I 0
u = −0.452279 + 0.970743I
a = 0.0858293 − 0.0527863I
b = −0.780417 + 0.103082I
2.28261 − 3.79252I 0
u = −0.452279 − 0.970743I
a = 0.0858293 + 0.0527863I
b = −0.780417 − 0.103082I
2.28261 + 3.79252I 0
u = −0.118444 + 0.916031I
a = −0.617624 + 0.906027I
b = −1.17122 + 0.90354I
−2.50522 − 4.14089I 0
u = −0.118444 − 0.916031I
a = −0.617624 − 0.906027I
b = −1.17122 − 0.90354I
−2.50522 + 4.14089I 0
u = 0.075286 + 0.909043I
a = −8.26782 + 8.73603I
b = 0.026371 + 1.031480I
−1.340640 + 0.177537I 0
u = 0.075286 − 0.909043I
a = −8.26782 − 8.73603I
b = 0.026371 − 1.031480I
−1.340640 − 0.177537I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.831746 + 0.354007I
a = −0.281841 + 0.089434I
b = 0.401952 + 1.167590I
−2.07001 + 7.87140I 0
u = 0.831746 − 0.354007I
a = −0.281841 − 0.089434I
b = 0.401952 − 1.167590I
−2.07001 − 7.87140I 0
u = −0.597534 + 0.674451I
a = 0.308248 − 1.053050I
b = 0.436612 − 0.151450I
3.23978 − 0.43349I 0
u = −0.597534 − 0.674451I
a = 0.308248 + 1.053050I
b = 0.436612 + 0.151450I
3.23978 + 0.43349I 0
u = 0.119306 + 1.117480I
a = 0.226897 + 0.055159I
b = 0.640072 + 0.133424I
−2.23820 + 2.40729I 0
u = 0.119306 − 1.117480I
a = 0.226897 − 0.055159I
b = 0.640072 − 0.133424I
−2.23820 − 2.40729I 0
u = −0.165583 + 0.857911I
a = 0.31669 + 3.42620I
b = −0.67356 + 2.01674I
−4.35700 − 6.39751I 0
u = −0.165583 − 0.857911I
a = 0.31669 − 3.42620I
b = −0.67356 − 2.01674I
−4.35700 + 6.39751I 0
u = 1.048890 + 0.436709I
a = 0.300540 + 0.319529I
b = 0.068044 + 1.150610I
−5.14281 + 4.26286I 0
u = 1.048890 − 0.436709I
a = 0.300540 − 0.319529I
b = 0.068044 − 1.150610I
−5.14281 − 4.26286I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.632901 + 0.573670I
a = 0.848775 − 0.143924I
b = −0.615975 − 0.614978I
1.52205 + 1.28713I 0
u = 0.632901 − 0.573670I
a = 0.848775 + 0.143924I
b = −0.615975 + 0.614978I
1.52205 − 1.28713I 0
u = −0.689072 + 0.919953I
a = 0.151660 + 0.635912I
b = 0.58156 + 1.35705I
−5.16537 + 3.34404I 0
u = −0.689072 − 0.919953I
a = 0.151660 − 0.635912I
b = 0.58156 − 1.35705I
−5.16537 − 3.34404I 0
u = 0.504987 + 1.037680I
a = 0.302256 − 1.050710I
b = 0.005795 − 0.617905I
−0.477490 − 0.597383I 0
u = 0.504987 − 1.037680I
a = 0.302256 + 1.050710I
b = 0.005795 + 0.617905I
−0.477490 + 0.597383I 0
u = 0.824830 + 0.185756I
a = −0.131095 + 1.387960I
b = 0.436612 − 0.151450I
3.23978 − 0.43349I 0
u = 0.824830 − 0.185756I
a = −0.131095 − 1.387960I
b = 0.436612 + 0.151450I
3.23978 + 0.43349I 0
u = 0.623399 + 0.981915I
a = 0.216002 + 0.611821I
b = 0.746181 − 0.367556I
0.47029 + 3.49839I 0
u = 0.623399 − 0.981915I
a = 0.216002 − 0.611821I
b = 0.746181 + 0.367556I
0.47029 − 3.49839I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.197928 + 0.813159I
a = 0.744719 + 0.190342I
b = 0.556125 − 0.799527I
−3.02657 + 2.42547I 0
u = 0.197928 − 0.813159I
a = 0.744719 − 0.190342I
b = 0.556125 + 0.799527I
−3.02657 − 2.42547I 0
u = 0.568349 + 1.015660I
a = 0.437891 + 0.495743I
b = 0.727656 − 0.562684I
0.16144 + 3.37593I 0
u = 0.568349 − 1.015660I
a = 0.437891 − 0.495743I
b = 0.727656 + 0.562684I
0.16144 − 3.37593I 0
u = 1.137130 + 0.308092I
a = 0.760950 − 0.588185I
b = −0.780417 − 0.103082I
2.28261 + 3.79252I 0
u = 1.137130 − 0.308092I
a = 0.760950 + 0.588185I
b = −0.780417 + 0.103082I
2.28261 − 3.79252I 0
u = −1.175070 + 0.087388I
a = 0.282190 − 1.133660I
b = −0.153567 − 0.947062I
1.44692 + 2.60945I 0
u = −1.175070 − 0.087388I
a = 0.282190 + 1.133660I
b = −0.153567 + 0.947062I
1.44692 − 2.60945I 0
u = 1.179210 + 0.075153I
a = 0.320501 − 0.053469I
b = −0.275772 + 1.264760I
0.338060 + 1.207040I 0
u = 1.179210 − 0.075153I
a = 0.320501 + 0.053469I
b = −0.275772 − 1.264760I
0.338060 − 1.207040I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.933208 + 0.735273I
a = −0.141827 − 0.551529I
b = 0.236818 − 0.933476I
0.23222 − 8.03043I 0
u = −0.933208 − 0.735273I
a = −0.141827 + 0.551529I
b = 0.236818 + 0.933476I
0.23222 + 8.03043I 0
u = −0.182730 + 0.787476I
a = −1.65435 − 5.09329I
b = 0.236818 − 0.933476I
0.23222 − 8.03043I 0
u = −0.182730 − 0.787476I
a = −1.65435 + 5.09329I
b = 0.236818 + 0.933476I
0.23222 + 8.03043I 0
u = −0.774872 + 0.184428I
a = 0.084412 − 0.162774I
b = 0.067392 − 1.235640I
−4.74007 + 1.48070I 0
u = −0.774872 − 0.184428I
a = 0.084412 + 0.162774I
b = 0.067392 + 1.235640I
−4.74007 − 1.48070I 0
u = −0.553291 + 1.070460I
a = −1.46100 − 2.04931I
b = 0.558660 − 1.081100I
−1.57137 − 8.24589I 0
u = −0.553291 − 1.070460I
a = −1.46100 + 2.04931I
b = 0.558660 + 1.081100I
−1.57137 + 8.24589I 0
u = −0.182777 + 0.771916I
a = 0.02458 − 2.43264I
b = −0.275772 − 1.264760I
0.338060 − 1.207040I 0
u = −0.182777 − 0.771916I
a = 0.02458 + 2.43264I
b = −0.275772 + 1.264760I
0.338060 + 1.207040I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.751421 + 0.222954I
a = 1.10538 + 0.89749I
b = −0.152857 − 1.234760I
−2.34278 + 6.87328I 0
u = −0.751421 − 0.222954I
a = 1.10538 − 0.89749I
b = −0.152857 + 1.234760I
−2.34278 − 6.87328I 0
u = 0.070427 + 0.774274I
a = 0.854638 − 0.931139I
b = 1.149720 − 0.713311I
0.10193 + 3.64056I 0
u = 0.070427 − 0.774274I
a = 0.854638 + 0.931139I
b = 1.149720 + 0.713311I
0.10193 − 3.64056I 0
u = −0.568940 + 1.082380I
a = 0.177618 − 0.622296I
b = 0.962946 − 0.117211I
1.78749 − 9.29186I 0
u = −0.568940 − 1.082380I
a = 0.177618 + 0.622296I
b = 0.962946 + 0.117211I
1.78749 + 9.29186I 0
u = 0.298987 + 0.710773I
a = 0.391992 − 0.122533I
b = −0.531957 − 0.826362I
0.87113 + 3.12892I 0
u = 0.298987 − 0.710773I
a = 0.391992 + 0.122533I
b = −0.531957 + 0.826362I
0.87113 − 3.12892I 0
u = −0.326196 + 0.690414I
a = −1.71946 − 1.23894I
b = 0.442866 − 1.291260I
−6.43178 − 7.09340I 0
u = −0.326196 − 0.690414I
a = −1.71946 + 1.23894I
b = 0.442866 + 1.291260I
−6.43178 + 7.09340I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.547063 + 1.113880I
a = 0.85489 + 1.45057I
b = 0.067392 + 1.235640I
−4.74007 − 1.48070I 0
u = −0.547063 − 1.113880I
a = 0.85489 − 1.45057I
b = 0.067392 − 1.235640I
−4.74007 + 1.48070I 0
u = −0.419706 + 1.189910I
a = 0.32864 + 1.88896I
b = 0.098447 + 0.825085I
−2.38966 + 1.51567I 0
u = −0.419706 − 1.189910I
a = 0.32864 − 1.88896I
b = 0.098447 − 0.825085I
−2.38966 − 1.51567I 0
u = 0.359863 + 1.222760I
a = −0.151081 + 0.179161I
b = 0.773085 + 0.134427I
−2.25254 + 2.60045I 0
u = 0.359863 − 1.222760I
a = −0.151081 − 0.179161I
b = 0.773085 − 0.134427I
−2.25254 − 2.60045I 0
u = −0.313865 + 1.244520I
a = 0.73698 + 2.44494I
b = −0.073188 + 1.111480I
−3.83204 − 1.68325I 0
u = −0.313865 − 1.244520I
a = 0.73698 − 2.44494I
b = −0.073188 − 1.111480I
−3.83204 + 1.68325I 0
u = 0.710711 + 0.047613I
a = 0.620803 − 0.896439I
b = 0.088101 + 1.173320I
0.01967 + 1.55847I 0
u = 0.710711 − 0.047613I
a = 0.620803 + 0.896439I
b = 0.088101 − 1.173320I
0.01967 − 1.55847I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.696970 + 0.146912I
a = −0.441601 − 0.508742I
b = 0.534705 + 1.298660I
−5.75877 + 7.16402I 0
u = −0.696970 − 0.146912I
a = −0.441601 + 0.508742I
b = 0.534705 − 1.298660I
−5.75877 − 7.16402I 0
u = 0.118476 + 1.291770I
a = 0.08723 + 1.78783I
b = 0.68915 + 1.43767I
−4.91308 + 3.36425I 0
u = 0.118476 − 1.291770I
a = 0.08723 − 1.78783I
b = 0.68915 − 1.43767I
−4.91308 − 3.36425I 0
u = −0.387984 + 1.243590I
a = −0.78282 − 1.85719I
b = 0.534705 − 1.298660I
−5.75877 − 7.16402I 0
u = −0.387984 − 1.243590I
a = −0.78282 + 1.85719I
b = 0.534705 + 1.298660I
−5.75877 + 7.16402I 0
u = 0.068459 + 0.692652I
a = −1.26391 + 0.73690I
b = 0.727656 + 0.562684I
0.16144 − 3.37593I 0
u = 0.068459 − 0.692652I
a = −1.26391 − 0.73690I
b = 0.727656 − 0.562684I
0.16144 + 3.37593I 0
u = −0.519441 + 1.197880I
a = −1.68736 − 0.80676I
b = 0.340055 − 1.089170I
−5.28119 − 11.70500I 0
u = −0.519441 − 1.197880I
a = −1.68736 + 0.80676I
b = 0.340055 + 1.089170I
−5.28119 + 11.70500I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.170541 + 0.666481I
a = −1.21627 − 2.17305I
b = 0.005795 + 0.617905I
−0.477490 + 0.597383I 0
u = 0.170541 − 0.666481I
a = −1.21627 + 2.17305I
b = 0.005795 − 0.617905I
−0.477490 − 0.597383I 0
u = 0.320764 + 1.273980I
a = 0.21050 − 2.19337I
b = −0.19479 − 1.46179I
−10.62740 + 8.02859I 0
u = 0.320764 − 1.273980I
a = 0.21050 + 2.19337I
b = −0.19479 + 1.46179I
−10.62740 − 8.02859I 0
u = −0.380548 + 1.263520I
a = 0.66246 + 1.86381I
b = −0.27603 + 1.56207I
−9.03467 − 2.56211I 0
u = −0.380548 − 1.263520I
a = 0.66246 − 1.86381I
b = −0.27603 − 1.56207I
−9.03467 + 2.56211I 0
u = 0.944742 + 0.924204I
a = −0.100170 + 0.684097I
b = 1.149720 − 0.713311I
0.10193 + 3.64056I 0
u = 0.944742 − 0.924204I
a = −0.100170 − 0.684097I
b = 1.149720 + 0.713311I
0.10193 − 3.64056I 0
u = −0.110302 + 0.661355I
a = 0.31602 + 3.47547I
b = 0.556125 + 0.799527I
−3.02657 − 2.42547I 0
u = −0.110302 − 0.661355I
a = 0.31602 − 3.47547I
b = 0.556125 − 0.799527I
−3.02657 + 2.42547I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.310410 + 1.299070I
a = −0.712524 + 0.198087I
b = 0.524640 − 0.458541I
−3.35163 + 8.24765I 0
u = 0.310410 − 1.299070I
a = −0.712524 − 0.198087I
b = 0.524640 + 0.458541I
−3.35163 − 8.24765I 0
u = 0.250751 + 1.312880I
a = −0.30726 + 1.72339I
b = 0.58156 + 1.35705I
−5.16537 + 3.34404I 0
u = 0.250751 − 1.312880I
a = −0.30726 − 1.72339I
b = 0.58156 − 1.35705I
−5.16537 − 3.34404I 0
u = −0.566396 + 1.218630I
a = −1.09601 − 1.95439I
b = 0.401952 − 1.167590I
−2.07001 − 7.87140I 0
u = −0.566396 − 1.218630I
a = −1.09601 + 1.95439I
b = 0.401952 + 1.167590I
−2.07001 + 7.87140I 0
u = 0.291617 + 1.314840I
a = 0.72871 − 1.89251I
b = 0.068044 − 1.150610I
−5.14281 − 4.26286I 0
u = 0.291617 − 1.314840I
a = 0.72871 + 1.89251I
b = 0.068044 + 1.150610I
−5.14281 + 4.26286I 0
u = −0.560916 + 0.312864I
a = 1.34178 − 0.67756I
b = −0.531957 − 0.826362I
0.87113 + 3.12892I 0
u = −0.560916 − 0.312864I
a = 1.34178 + 0.67756I
b = −0.531957 + 0.826362I
0.87113 − 3.12892I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.903194 + 1.021860I
a = −0.482338 + 0.434150I
b = −0.073188 + 1.111480I
−3.83204 − 1.68325I 0
u = 0.903194 − 1.021860I
a = −0.482338 − 0.434150I
b = −0.073188 − 1.111480I
−3.83204 + 1.68325I 0
u = 0.409467 + 1.310280I
a = 0.49920 − 1.83799I
b = −0.57261 − 1.48824I
−6.82693 + 12.09980I 0
u = 0.409467 − 1.310280I
a = 0.49920 + 1.83799I
b = −0.57261 + 1.48824I
−6.82693 − 12.09980I 0
u = 1.358860 + 0.291595I
a = −0.167748 − 0.416848I
b = 0.47345 − 1.38234I
−2.8950 − 14.4974I 0
u = 1.358860 − 0.291595I
a = −0.167748 + 0.416848I
b = 0.47345 + 1.38234I
−2.8950 + 14.4974I 0
u = −0.508782 + 1.299420I
a = −0.621300 − 1.210290I
b = −0.27603 − 1.56207I
−9.03467 + 2.56211I 0
u = −0.508782 − 1.299420I
a = −0.621300 + 1.210290I
b = −0.27603 + 1.56207I
−9.03467 − 2.56211I 0
u = −0.672168 + 1.224180I
a = −0.060999 + 0.381160I
b = 0.524640 + 0.458541I
−3.35163 − 8.24765I 0
u = −0.672168 − 1.224180I
a = −0.060999 − 0.381160I
b = 0.524640 − 0.458541I
−3.35163 + 8.24765I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.599189 + 1.274080I
a = −0.90287 + 1.82392I
b = 0.47345 + 1.38234I
−2.8950 + 14.4974I 0
u = 0.599189 − 1.274080I
a = −0.90287 − 1.82392I
b = 0.47345 − 1.38234I
−2.8950 − 14.4974I 0
u = 0.50634 + 1.34386I
a = 0.63369 − 1.48097I
b = −0.67356 − 2.01674I
−4.35700 + 6.39751I 0
u = 0.50634 − 1.34386I
a = 0.63369 + 1.48097I
b = −0.67356 + 2.01674I
−4.35700 − 6.39751I 0
u = 0.65281 + 1.29482I
a = 0.61893 − 1.37048I
b = −0.152857 − 1.234760I
−2.34278 + 6.87328I 0
u = 0.65281 − 1.29482I
a = 0.61893 + 1.37048I
b = −0.152857 + 1.234760I
−2.34278 − 6.87328I 0
u = −0.179168 + 0.438917I
a = 0.92123 + 1.72564I
b = 0.640072 + 0.133424I
−2.23820 + 2.40729I 0. − 4.11907I
u = −0.179168 − 0.438917I
a = 0.92123 − 1.72564I
b = 0.640072 − 0.133424I
−2.23820 − 2.40729I 0. + 4.11907I
u = −0.55146 + 1.43162I
a = −0.71053 − 1.46440I
b = 0.442866 − 1.291260I
−6.43178 − 7.09340I 0
u = −0.55146 − 1.43162I
a = −0.71053 + 1.46440I
b = 0.442866 + 1.291260I
−6.43178 + 7.09340I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.048071 + 0.434921I
a = 1.289930 − 0.516426I
b = −0.615975 − 0.614978I
1.52205 + 1.28713I 6.00000 + 1.19437I
u = 0.048071 − 0.434921I
a = 1.289930 + 0.516426I
b = −0.615975 + 0.614978I
1.52205 − 1.28713I 6.00000 − 1.19437I
u = −0.46307 + 1.52709I
a = 0.103975 − 0.107638I
b = −1.17122 − 0.90354I
−2.50522 + 4.14089I 0
u = −0.46307 − 1.52709I
a = 0.103975 + 0.107638I
b = −1.17122 + 0.90354I
−2.50522 − 4.14089I 0
u = 0.65371 + 1.48575I
a = 0.078428 − 0.507422I
b = −1.52601 − 0.32594I
−1.36965 + 5.17554I 0
u = 0.65371 − 1.48575I
a = 0.078428 + 0.507422I
b = −1.52601 + 0.32594I
−1.36965 − 5.17554I 0
u = −0.84279 + 1.39794I
a = 0.89286 + 1.32417I
b = −0.57261 + 1.48824I
−6.82693 − 12.09980I 0
u = −0.84279 − 1.39794I
a = 0.89286 − 1.32417I
b = −0.57261 − 1.48824I
−6.82693 + 12.09980I 0
u = −0.041405 + 0.359094I
a = −1.058520 − 0.511708I
b = 0.558660 + 1.081100I
−1.57137 + 8.24589I 10.46853 + 4.04249I
u = −0.041405 − 0.359094I
a = −1.058520 + 0.511708I
b = 0.558660 − 1.081100I
−1.57137 − 8.24589I 10.46853 − 4.04249I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.84093 + 1.49867I
a = −0.612240 + 1.229630I
b = 0.340055 + 1.089170I
−5.28119 + 11.70500I 0
u = 0.84093 − 1.49867I
a = −0.612240 − 1.229630I
b = 0.340055 − 1.089170I
−5.28119 − 11.70500I 0
u = 0.08032 + 1.79902I
a = −0.114327 + 1.345830I
b = −0.19479 + 1.46179I
−10.62740 − 8.02859I 0
u = 0.08032 − 1.79902I
a = −0.114327 − 1.345830I
b = −0.19479 − 1.46179I
−10.62740 + 8.02859I 0
u = −1.21677 + 1.35360I
a = −0.168199 + 0.474920I
b = 0.68915 + 1.43767I
−4.91308 + 3.36425I 0
u = −1.21677 − 1.35360I
a = −0.168199 − 0.474920I
b = 0.68915 − 1.43767I
−4.91308 − 3.36425I 0
u = −0.0123626 + 0.0221719I
a = 16.5451 − 13.6233I
b = 0.746181 − 0.367556I
0.47029 + 3.49839I 8.25031 − 3.87990I
u = −0.0123626 − 0.0221719I
a = 16.5451 + 13.6233I
b = 0.746181 + 0.367556I
0.47029 − 3.49839I 8.25031 + 3.87990I
u = −2.00643 + 0.13625I
a = 0.110511 − 0.717520I
b = −0.132437 − 1.101920I
−1.35819 − 0.58027I 0
u = −2.00643 − 0.13625I
a = 0.110511 + 0.717520I
b = −0.132437 + 1.101920I
−1.35819 + 0.58027I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.31518 + 2.73500I
a = −0.125673 − 1.042310I
b = 0.026371 − 1.031480I
−1.340640 − 0.177537I 0
u = −1.31518 − 2.73500I
a = −0.125673 + 1.042310I
b = 0.026371 + 1.031480I
−1.340640 + 0.177537I 0
28
III. I
u
3
=
h−4u
15
−2u
14
+· · ·+b+11, 4u
15
+25u
14
+· · ·+3a+48, u
16
+u
15
+· · ·−3u+3i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
6
=
−
4
3
u
15
−
25
3
u
14
+ ··· +
19
3
u − 16
4u
15
+ 2u
14
+ ··· + 15u − 11
a
12
=
u
u
a
2
=
−
22
3
u
15
−
16
3
u
14
+ ··· −
80
3
u + 15
−7u
15
− 9u
14
+ ··· − 18u + 4
a
7
=
19
3
u
15
+
1
3
u
14
+ ··· +
83
3
u − 22
8u
15
+ 5u
14
+ ··· + 27u − 16
a
1
=
−
13
3
u
15
−
4
3
u
14
+ ··· −
50
3
u + 13
−4u
15
− 3u
14
+ ··· − 12u + 7
a
8
=
4
3
u
15
−
11
3
u
14
+ ··· +
35
3
u − 14
2u
14
+ 3u
13
+ ··· − 4u + 5
a
9
=
19
3
u
15
−
14
3
u
14
+ ··· +
110
3
u − 35
5u
15
+ u
14
+ ··· + 21u − 16
a
5
=
29
3
u
15
+
47
3
u
14
+ ··· +
67
3
u + 3
8u
15
+ 14u
14
+ ··· + 16u + 4
a
10
=
1
3
u
15
−
5
3
u
14
+ ··· +
14
3
u − 6
−u
15
+ 2u
14
+ ··· − 7u + 8
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4u
15
− 13u
14
− 6u
13
− 102u
12
− 96u
11
− 308u
10
− 290u
9
−
464u
8
− 436u
7
− 380u
6
− 381u
5
− 166u
4
− 147u
3
− 96u
2
+ 24u − 39
29
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
16
+ 2u
14
+ ··· + 2u + 1
c
2
u
16
+ 4u
15
+ ··· + 9u + 1
c
3
, c
9
u
16
+ u
15
+ ··· − 3u + 3
c
5
, c
11
u
16
− u
15
+ ··· + 3u + 3
c
6
u
16
− 4u
15
+ ··· − 9u + 1
c
7
u
16
+ 4u
14
+ ··· + 6u + 3
c
8
u
16
+ 7u
15
+ ··· + 2u + 7
c
10
, c
12
u
16
+ 3u
15
+ ··· + 3u + 1
30
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
16
+ 4y
15
+ ··· + 12y + 1
c
2
, c
6
y
16
+ 16y
15
+ ··· − 3y + 1
c
3
, c
5
, c
9
c
11
y
16
+ 13y
15
+ ··· + 39y + 9
c
7
y
16
+ 8y
15
+ ··· + 30y + 9
c
8
y
16
− 5y
15
+ ··· − 438y + 49
c
10
, c
12
y
16
− 7y
15
+ ··· − 13y + 1
31
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.420917 + 0.909184I
a = −1.002560 − 0.179274I
b = −0.216901 − 0.155989I
−0.95443 + 4.92787I 5.29993 − 6.19457I
u = 0.420917 − 0.909184I
a = −1.002560 + 0.179274I
b = −0.216901 + 0.155989I
−0.95443 − 4.92787I 5.29993 + 6.19457I
u = 0.253785 + 1.063560I
a = −1.24287 + 1.58843I
b = 0.094606 + 0.978685I
−1.50213 + 0.16965I 3.85688 + 0.08312I
u = 0.253785 − 1.063560I
a = −1.24287 − 1.58843I
b = 0.094606 − 0.978685I
−1.50213 − 0.16965I 3.85688 − 0.08312I
u = −0.871520 + 0.213200I
a = −0.424056 + 0.635730I
b = −0.193711 + 1.001170I
1.26269 − 1.02096I 7.85089 + 0.96044I
u = −0.871520 − 0.213200I
a = −0.424056 − 0.635730I
b = −0.193711 − 1.001170I
1.26269 + 1.02096I 7.85089 − 0.96044I
u = 0.252999 + 1.110280I
a = −0.453280 − 0.480405I
b = −1.232950 − 0.359345I
−1.62134 + 4.42630I 2.55682 − 6.41336I
u = 0.252999 − 1.110280I
a = −0.453280 + 0.480405I
b = −1.232950 + 0.359345I
−1.62134 − 4.42630I 2.55682 + 6.41336I
u = 0.195085 + 1.311920I
a = 0.37530 − 1.65337I
b = 0.26508 − 2.17968I
−7.04489 + 6.02866I 12.8971 − 8.8863I
u = 0.195085 − 1.311920I
a = 0.37530 + 1.65337I
b = 0.26508 + 2.17968I
−7.04489 − 6.02866I 12.8971 + 8.8863I
32
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.514563 + 1.288660I
a = 0.75028 + 1.76511I
b = −0.54840 + 1.45507I
−6.89878 − 10.55000I 1.03549 + 6.62062I
u = −0.514563 − 1.288660I
a = 0.75028 − 1.76511I
b = −0.54840 − 1.45507I
−6.89878 + 10.55000I 1.03549 − 6.62062I
u = 0.412331 + 0.409143I
a = 0.541732 + 0.395711I
b = −0.509401 − 0.636353I
1.99867 + 1.85862I 14.1439 − 7.1748I
u = 0.412331 − 0.409143I
a = 0.541732 − 0.395711I
b = −0.509401 + 0.636353I
1.99867 − 1.85862I 14.1439 + 7.1748I
u = −0.64903 + 1.29387I
a = −1.04455 − 0.99704I
b = 0.341677 − 0.986966I
−4.97900 − 10.59500I 2.85903 + 5.79293I
u = −0.64903 − 1.29387I
a = −1.04455 + 0.99704I
b = 0.341677 + 0.986966I
−4.97900 + 10.59500I 2.85903 − 5.79293I
33
IV. I
u
4
=
h1.46×10
31
u
35
−5.33×10
31
u
34
+· · ·+6.50×10
30
b−1.75×10
32
, 2.41×10
32
u
35
−
8.54 × 10
32
u
34
+ · · · + 1.30 × 10
31
a + 2.13 × 10
33
, u
36
− 5u
35
+ · · · − 24u + 4i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
6
=
−18.5018u
35
+ 65.6475u
34
+ ··· + 573.304u − 163.761
−2.25111u
35
+ 8.19101u
34
+ ··· − 130.579u + 26.8620
a
12
=
u
u
a
2
=
−14.7350u
35
+ 63.3004u
34
+ ··· + 641.306u − 108.998
−0.221617u
35
− 2.14481u
34
+ ··· + 127.538u − 14.2339
a
7
=
−26.2162u
35
+ 133.629u
34
+ ··· − 912.832u + 109.935
−4.83673u
35
+ 20.9946u
34
+ ··· + 39.0001u + 2.67084
a
1
=
0.945470u
35
− 9.55906u
34
+ ··· + 578.798u − 81.7339
10.7980u
35
− 51.1811u
34
+ ··· + 57.2347u + 7.93694
a
8
=
14.7296u
35
− 77.1699u
34
+ ··· + 427.538u − 32.8406
6.23078u
35
− 47.1977u
34
+ ··· + 1154.59u − 194.031
a
9
=
17.2085u
35
− 85.0651u
34
+ ··· + 161.006u + 17.2473
8.70964u
35
− 55.0929u
34
+ ··· + 888.062u − 143.943
a
5
=
−15.5167u
35
+ 73.4948u
34
+ ··· + 297.881u − 89.8827
−25.4887u
35
+ 123.183u
34
+ ··· − 203.537u − 8.68232
a
10
=
1.83728u
35
− 15.0908u
34
+ ··· + 113.498u − 41.7589
1.91423u
35
− 13.8996u
34
+ ··· + 198.997u − 44.9023
(ii) Obstruction class = 1
(iii) Cusp Shapes = −22.3160u
35
+ 213.152u
34
+ ··· − 141.462u − 26.8886
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
36
− 5u
35
+ ··· + 6u + 1
c
2
(u
18
− 3u
17
+ ··· + u + 1)
2
c
3
, c
9
u
36
− 5u
35
+ ··· − 24u + 4
c
5
, c
11
u
36
+ 5u
35
+ ··· + 24u + 4
c
6
(u
18
+ 3u
17
+ ··· − u + 1)
2
c
7
(u
18
+ u
17
+ ··· + 18u + 4)
2
c
8
(u
18
+ u
17
+ ··· − 6u + 1)
2
c
10
, c
12
u
36
− 5u
35
+ ··· − 5u + 1
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
36
− 15y
35
+ ··· + 72y + 1
c
2
, c
6
(y
18
+ 13y
17
+ ··· + 17y + 1)
2
c
3
, c
5
, c
9
c
11
y
36
+ 27y
35
+ ··· + 512y + 16
c
7
(y
18
+ 13y
17
+ ··· − 108y + 16)
2
c
8
(y
18
− 15y
17
+ ··· − 6y + 1)
2
c
10
, c
12
y
36
+ 5y
35
+ ··· + 3y + 1
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.988164 + 0.061842I
a = 0.263854 − 0.810040I
b = −0.137109 − 0.487566I
2.47135 + 2.25336I 13.59240 − 3.23004I
u = 0.988164 − 0.061842I
a = 0.263854 + 0.810040I
b = −0.137109 + 0.487566I
2.47135 − 2.25336I 13.59240 + 3.23004I
u = 0.551731 + 0.810491I
a = 0.713994 + 0.763040I
b = −0.137109 − 0.487566I
2.47135 + 2.25336I 13.59240 − 3.23004I
u = 0.551731 − 0.810491I
a = 0.713994 − 0.763040I
b = −0.137109 + 0.487566I
2.47135 − 2.25336I 13.59240 + 3.23004I
u = 0.238067 + 0.997970I
a = 0.076200 − 0.985278I
b = −0.160625 + 0.585376I
−1.81554 + 1.26403I 6.00000 + 3.21928I
u = 0.238067 − 0.997970I
a = 0.076200 + 0.985278I
b = −0.160625 − 0.585376I
−1.81554 − 1.26403I 6.00000 − 3.21928I
u = 0.093772 + 0.902059I
a = −5.68276 + 5.88603I
b = 0.044924 + 1.036660I
−1.312680 + 0.198413I 47.0328 − 37.1580I
u = 0.093772 − 0.902059I
a = −5.68276 − 5.88603I
b = 0.044924 − 1.036660I
−1.312680 − 0.198413I 47.0328 + 37.1580I
u = −0.237477 + 1.072500I
a = −0.002463 + 0.252847I
b = −0.845619 − 0.639447I
−1.85322 + 4.15690I 0
u = −0.237477 − 1.072500I
a = −0.002463 − 0.252847I
b = −0.845619 + 0.639447I
−1.85322 − 4.15690I 0
37
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.540271 + 1.018040I
a = −1.64317 − 2.12470I
b = 0.558341 − 1.034540I
−1.72669 − 8.47761I 0. + 19.7333I
u = −0.540271 − 1.018040I
a = −1.64317 + 2.12470I
b = 0.558341 + 1.034540I
−1.72669 + 8.47761I 0. − 19.7333I
u = −0.822236 + 0.836487I
a = −0.026185 + 0.691118I
b = −0.205774 + 0.690997I
0.69128 − 7.64092I 0
u = −0.822236 − 0.836487I
a = −0.026185 − 0.691118I
b = −0.205774 − 0.690997I
0.69128 + 7.64092I 0
u = 0.765921 + 0.890126I
a = 0.398563 − 1.354610I
b = −0.160625 − 0.585376I
−1.81554 − 1.26403I 0
u = 0.765921 − 0.890126I
a = 0.398563 + 1.354610I
b = −0.160625 + 0.585376I
−1.81554 + 1.26403I 0
u = 0.063294 + 0.822411I
a = −0.231681 + 0.972957I
b = 0.957692 + 0.626775I
−0.46312 − 3.20443I −0.64989 + 2.25243I
u = 0.063294 − 0.822411I
a = −0.231681 − 0.972957I
b = 0.957692 − 0.626775I
−0.46312 + 3.20443I −0.64989 − 2.25243I
u = −0.156653 + 0.791505I
a = −0.70708 − 3.30896I
b = 0.56067 − 1.84411I
−4.25074 − 6.21673I 9.17462 − 8.20295I
u = −0.156653 − 0.791505I
a = −0.70708 + 3.30896I
b = 0.56067 + 1.84411I
−4.25074 + 6.21673I 9.17462 + 8.20295I
38
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.326994 + 0.706183I
a = −0.626759 − 1.267330I
b = −0.845619 − 0.639447I
−1.85322 + 4.15690I 4.50613 − 5.01648I
u = 0.326994 − 0.706183I
a = −0.626759 + 1.267330I
b = −0.845619 + 0.639447I
−1.85322 − 4.15690I 4.50613 + 5.01648I
u = 0.718437 + 1.009760I
a = 0.184805 + 0.583788I
b = 0.957692 − 0.626775I
−0.46312 + 3.20443I 0
u = 0.718437 − 1.009760I
a = 0.184805 − 0.583788I
b = 0.957692 + 0.626775I
−0.46312 − 3.20443I 0
u = −0.098128 + 1.303600I
a = 0.12119 − 1.73267I
b = 0.72750 − 1.40403I
−4.90011 − 3.43557I 0
u = −0.098128 − 1.303600I
a = 0.12119 + 1.73267I
b = 0.72750 + 1.40403I
−4.90011 + 3.43557I 0
u = 0.53473 + 1.34754I
a = −0.65398 + 1.38571I
b = 0.56067 + 1.84411I
−4.25074 + 6.21673I 0
u = 0.53473 − 1.34754I
a = −0.65398 − 1.38571I
b = 0.56067 − 1.84411I
−4.25074 − 6.21673I 0
u = 0.124178 + 0.505233I
a = −0.061672 − 0.283529I
b = 0.558341 + 1.034540I
−1.72669 + 8.47761I −5.4749 − 19.7333I
u = 0.124178 − 0.505233I
a = −0.061672 + 0.283529I
b = 0.558341 − 1.034540I
−1.72669 − 8.47761I −5.4749 + 19.7333I
39
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.071915 + 0.439903I
a = −3.21959 + 5.88770I
b = −0.205774 − 0.690997I
0.69128 + 7.64092I 10.85833 − 3.97496I
u = 0.071915 − 0.439903I
a = −3.21959 − 5.88770I
b = −0.205774 + 0.690997I
0.69128 − 7.64092I 10.85833 + 3.97496I
u = −1.15599 + 1.46510I
a = −0.208122 + 0.470187I
b = 0.72750 + 1.40403I
−4.90011 + 3.43557I 0
u = −1.15599 − 1.46510I
a = −0.208122 − 0.470187I
b = 0.72750 − 1.40403I
−4.90011 − 3.43557I 0
u = 1.03355 + 2.17921I
a = −0.195147 + 1.065590I
b = 0.044924 + 1.036660I
−1.312680 + 0.198413I 0
u = 1.03355 − 2.17921I
a = −0.195147 − 1.065590I
b = 0.044924 − 1.036660I
−1.312680 − 0.198413I 0
40
V. I
v
1
= ha, b + v, v
2
− v + 1i
(i) Arc colorings
a
3
=
1
0
a
11
=
v
0
a
4
=
1
0
a
6
=
0
−v
a
12
=
v
0
a
2
=
1
v − 1
a
7
=
−v
−v + 1
a
1
=
v
v − 1
a
8
=
−v
−v + 1
a
9
=
0
−v + 1
a
5
=
0
−v
a
10
=
0
−v + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4v + 14
41
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
3
, c
5
, c
7
c
9
, c
11
u
2
c
8
(u + 1)
2
c
10
, c
12
(u − 1)
2
42
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
6
y
2
+ y + 1
c
3
, c
5
, c
7
c
9
, c
11
y
2
c
8
, c
10
, c
12
(y − 1)
2
43
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 0.500000 + 0.866025I
a = 0
b = −0.500000 − 0.866025I
1.64493 + 2.02988I 12.00000 − 3.46410I
v = 0.500000 − 0.866025I
a = 0
b = −0.500000 + 0.866025I
1.64493 − 2.02988I 12.00000 + 3.46410I
44
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
4
(u
2
− u + 1)(u
16
+ 2u
14
+ ··· + 2u + 1)(u
36
− 5u
35
+ ··· + 6u + 1)
· (u
41
− u
40
+ ··· + 5u − 1)(u
152
− 12u
151
+ ··· − 8870u + 337)
c
2
(u
2
+ u + 1)(u
16
+ 4u
15
+ ··· + 9u + 1)(u
18
− 3u
17
+ ··· + u + 1)
2
· (u
41
− 18u
40
+ ··· + 3856u − 272)
· (u
76
+ 8u
75
+ ··· + 21348u + 1357)
2
c
3
, c
9
u
2
(u
16
+ u
15
+ ··· − 3u + 3)(u
36
− 5u
35
+ ··· − 24u + 4)
· (u
41
− u
40
+ ··· + 16u − 4)(u
152
+ 4u
151
+ ··· + 5344u + 127)
c
5
, c
11
u
2
(u
16
− u
15
+ ··· + 3u + 3)(u
36
+ 5u
35
+ ··· + 24u + 4)
· (u
41
− u
40
+ ··· + 16u − 4)(u
152
+ 4u
151
+ ··· + 5344u + 127)
c
6
(u
2
− u + 1)(u
16
− 4u
15
+ ··· − 9u + 1)(u
18
+ 3u
17
+ ··· − u + 1)
2
· (u
41
− 18u
40
+ ··· + 3856u − 272)
· (u
76
+ 8u
75
+ ··· + 21348u + 1357)
2
c
7
u
2
(u
16
+ 4u
14
+ ··· + 6u + 3)(u
18
+ u
17
+ ··· + 18u + 4)
2
· (u
41
− 35u
40
+ ··· + 9437184u − 524288)
· (u
76
+ 14u
75
+ ··· + 18u + 1)
2
c
8
((u + 1)
2
)(u
16
+ 7u
15
+ ··· + 2u + 7)(u
18
+ u
17
+ ··· − 6u + 1)
2
· (u
41
− 28u
40
+ ··· + 146856u − 11968)
· (u
76
+ 11u
75
+ ··· + 3116u + 157)
2
c
10
, c
12
((u − 1)
2
)(u
16
+ 3u
15
+ ··· + 3u + 1)(u
36
− 5u
35
+ ··· − 5u + 1)
· (u
41
+ u
40
+ ··· − u − 1)(u
152
+ 16u
151
+ ··· + 41u + 1)
45
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
2
+ y + 1)(y
16
+ 4y
15
+ ··· + 12y + 1)(y
36
− 15y
35
+ ··· + 72y + 1)
· (y
41
− 17y
40
+ ··· + 47y − 1)
· (y
152
− 10y
151
+ ··· − 12017626y + 113569)
c
2
, c
6
(y
2
+ y + 1)(y
16
+ 16y
15
+ ··· − 3y + 1)(y
18
+ 13y
17
+ ··· + 17y + 1)
2
· (y
41
+ 30y
40
+ ··· + 474496y − 73984)
· (y
76
+ 56y
75
+ ··· + 18480116y + 1841449)
2
c
3
, c
5
, c
9
c
11
y
2
(y
16
+ 13y
15
+ ··· + 39y + 9)(y
36
+ 27y
35
+ ··· + 512y + 16)
· (y
41
+ 29y
40
+ ··· + 208y
2
− 16)
· (y
152
+ 94y
151
+ ··· + 27521308y + 16129)
c
7
y
2
(y
16
+ 8y
15
+ ··· + 30y + 9)(y
18
+ 13y
17
+ ··· − 108y + 16)
2
· (y
41
+ 9y
40
+ ··· + 1649267441664y − 274877906944)
· (y
76
+ 28y
75
+ ··· − 14y + 1)
2
c
8
((y − 1)
2
)(y
16
− 5y
15
+ ··· − 438y + 49)(y
18
− 15y
17
+ ··· − 6y + 1)
2
· (y
41
− 8y
40
+ ··· − 428680128y − 143233024)
· (y
76
− y
75
+ ··· − 25068y + 24649)
2
c
10
, c
12
((y − 1)
2
)(y
16
− 7y
15
+ ··· − 13y + 1)(y
36
+ 5y
35
+ ··· + 3y + 1)
· (y
41
+ 7y
40
+ ··· + y − 1)(y
152
− 12y
151
+ ··· + 199y + 1)
46
