12a
1175
(K12a
1175
)
A knot diagram
1
Linearized knot diagam
4 10 7 1 12 3 11 5 2 6 8 9
Solving Sequence
1,5
4
2,9
10 3 8 12 6 11 7
c
4
c
1
c
9
c
2
c
8
c
12
c
5
c
11
c
7
c
3
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h5.84939 × 10
910
u
146
+ 5.61647 × 10
911
u
145
+ ··· + 2.71478 × 10
912
b − 5.72333 × 10
914
,
1.06195 × 10
914
u
146
+ 8.90133 × 10
914
u
145
+ ··· + 2.22883 × 10
915
a − 3.84240 × 10
917
,
u
147
+ 8u
146
+ ··· + 61480u − 5747i
I
u
2
= h5.49437 × 10
35
u
35
+ 2.03279 × 10
36
u
34
+ ··· + 3.20930 × 10
35
b + 9.34926 × 10
35
,
1.11019 × 10
36
u
35
+ 3.24693 × 10
36
u
34
+ ··· + 3.20930 × 10
35
a + 4.28373 × 10
36
, u
36
+ 3u
35
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 183 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
= h5.85 × 10
910
u
146
+ 5.62 × 10
911
u
145
+ · · · + 2.71 × 10
912
b − 5.72 ×
10
914
, 1.06 × 10
914
u
146
+ 8.90 × 10
914
u
145
+ · · · + 2.23 × 10
915
a − 3.84 ×
10
917
, u
147
+ 8u
146
+ · · · + 61480u − 5747i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−0.0476460u
146
− 0.399372u
145
+ ··· − 1619.95u + 172.395
−0.0215465u
146
− 0.206885u
145
+ ··· − 2194.54u + 210.821
a
10
=
−0.0733621u
146
− 0.658696u
145
+ ··· − 4820.81u + 475.848
−0.0448746u
146
− 0.386975u
145
+ ··· − 2140.92u + 215.379
a
3
=
0.00620052u
146
+ 0.0524415u
145
+ ··· + 77.9777u − 11.1646
−0.00987834u
146
− 0.0813767u
145
+ ··· − 269.340u + 32.3155
a
8
=
−0.0691925u
146
− 0.606257u
145
+ ··· − 3814.50u + 383.217
−0.0215465u
146
− 0.206885u
145
+ ··· − 2194.54u + 210.821
a
12
=
0.0112444u
146
+ 0.140122u
145
+ ··· + 3100.04u − 285.491
0.000974400u
146
+ 0.00416042u
145
+ ··· − 216.608u + 19.9840
a
6
=
0.0532520u
146
+ 0.349593u
145
+ ··· − 4377.81u + 370.101
0.0183596u
146
+ 0.120357u
145
+ ··· − 1397.64u + 119.695
a
11
=
0.0144073u
146
+ 0.130613u
145
+ ··· + 1174.02u − 113.909
−0.00642001u
146
− 0.0543650u
145
+ ··· − 30.5381u + 3.26770
a
7
=
0.0598125u
146
+ 0.532811u
145
+ ··· + 3201.29u − 317.212
0.0375649u
146
+ 0.359767u
145
+ ··· + 3268.27u − 314.725
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0203121u
146
− 0.141621u
145
+ ··· + 1840.41u − 142.702
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
147
− 8u
146
+ ··· + 61480u + 5747
c
2
, c
9
u
147
− 2u
146
+ ··· + 11046847u + 496609
c
3
, c
6
u
147
− 3u
146
+ ··· + 108035u + 24613
c
5
u
147
− 3u
146
+ ··· − 73u − 61
c
7
, c
11
u
147
− 2u
146
+ ··· − 51044u + 7693
c
8
u
147
+ 6u
146
+ ··· − 435868u + 78457
c
10
u
147
+ u
146
+ ··· + 4068286687u + 578211329
c
12
u
147
+ 7u
146
+ ··· + 24u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
147
+ 80y
146
+ ··· + 2204675628y −33028009
c
2
, c
9
y
147
− 110y
146
+ ··· + 135599578671993y −246620498881
c
3
, c
6
y
147
− 83y
146
+ ··· + 10185969771y −605799769
c
5
y
147
− 29y
146
+ ··· − 148879y −3721
c
7
, c
11
y
147
− 104y
146
+ ··· + 12402263874y −59182249
c
8
y
147
+ 54y
146
+ ··· − 169630825840y −6155500849
c
10
y
147
+ 17y
146
+ ··· − 2.57 × 10
18
y −3.34 × 10
17
c
12
y
147
+ 7y
146
+ ··· + 230y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.876951 + 0.469338I
a = −1.034530 − 0.425889I
b = 0.851366 + 1.024550I
0.25753 − 8.60731I 0
u = 0.876951 − 0.469338I
a = −1.034530 + 0.425889I
b = 0.851366 − 1.024550I
0.25753 + 8.60731I 0
u = −0.169210 + 0.994862I
a = −1.47924 + 0.45402I
b = 0.638776 + 0.628243I
−2.71907 + 3.26464I 0
u = −0.169210 − 0.994862I
a = −1.47924 − 0.45402I
b = 0.638776 − 0.628243I
−2.71907 − 3.26464I 0
u = 0.242383 + 0.952148I
a = −0.180100 + 0.272064I
b = 1.51947 + 0.50864I
0.73118 − 4.44431I 0
u = 0.242383 − 0.952148I
a = −0.180100 − 0.272064I
b = 1.51947 − 0.50864I
0.73118 + 4.44431I 0
u = 0.896984 + 0.384069I
a = 1.005690 − 0.454065I
b = −0.953019 − 0.568526I
−1.72980 + 0.90174I 0
u = 0.896984 − 0.384069I
a = 1.005690 + 0.454065I
b = −0.953019 + 0.568526I
−1.72980 − 0.90174I 0
u = 0.102939 + 1.029930I
a = −1.64929 − 1.29682I
b = 0.028382 − 0.859907I
4.43319 − 2.71551I 0
u = 0.102939 − 1.029930I
a = −1.64929 + 1.29682I
b = 0.028382 + 0.859907I
4.43319 + 2.71551I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.202073 + 1.028700I
a = 0.379102 + 0.405956I
b = −0.296180 − 1.006800I
−3.83897 − 2.56872I 0
u = −0.202073 − 1.028700I
a = 0.379102 − 0.405956I
b = −0.296180 + 1.006800I
−3.83897 + 2.56872I 0
u = −0.058121 + 0.949008I
a = −0.11046 + 1.78709I
b = 0.02723 + 1.57885I
−4.30862 + 3.41831I 0
u = −0.058121 − 0.949008I
a = −0.11046 − 1.78709I
b = 0.02723 − 1.57885I
−4.30862 − 3.41831I 0
u = −0.400593 + 0.853754I
a = −0.738910 − 0.221171I
b = 1.095550 + 0.692165I
−4.51006 + 0.97799I 0
u = −0.400593 − 0.853754I
a = −0.738910 + 0.221171I
b = 1.095550 − 0.692165I
−4.51006 − 0.97799I 0
u = 0.061534 + 0.938135I
a = 0.803720 − 0.763167I
b = −0.87348 − 1.73870I
2.53382 − 2.49123I 0
u = 0.061534 − 0.938135I
a = 0.803720 + 0.763167I
b = −0.87348 + 1.73870I
2.53382 + 2.49123I 0
u = 0.600227 + 0.876715I
a = 0.115520 − 0.577187I
b = −0.233182 + 0.146254I
−1.93708 − 1.02863I 0
u = 0.600227 − 0.876715I
a = 0.115520 + 0.577187I
b = −0.233182 − 0.146254I
−1.93708 + 1.02863I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.930561
a = 0.758424
b = −0.477186
−1.64571 0
u = 0.598023 + 0.898595I
a = 1.164480 + 0.619413I
b = −0.595055 − 0.818371I
3.39807 − 2.72258I 0
u = 0.598023 − 0.898595I
a = 1.164480 − 0.619413I
b = −0.595055 + 0.818371I
3.39807 + 2.72258I 0
u = −1.094130 + 0.021306I
a = 0.948489 + 0.481917I
b = −0.808507 − 0.654879I
−9.20594 − 7.28544I 0
u = −1.094130 − 0.021306I
a = 0.948489 − 0.481917I
b = −0.808507 + 0.654879I
−9.20594 + 7.28544I 0
u = 0.893073 + 0.115015I
a = −1.217280 − 0.253669I
b = 0.719668 + 0.815559I
−4.72484 − 2.71448I 0
u = 0.893073 − 0.115015I
a = −1.217280 + 0.253669I
b = 0.719668 − 0.815559I
−4.72484 + 2.71448I 0
u = −0.187421 + 1.097440I
a = 1.30604 − 1.17317I
b = 0.072765 − 0.828993I
1.10897 + 10.17800I 0
u = −0.187421 − 1.097440I
a = 1.30604 + 1.17317I
b = 0.072765 + 0.828993I
1.10897 − 10.17800I 0
u = −0.179249 + 1.101150I
a = −0.591089 + 0.955092I
b = −0.242870 + 0.945429I
4.11202 + 2.41393I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.179249 − 1.101150I
a = −0.591089 − 0.955092I
b = −0.242870 − 0.945429I
4.11202 − 2.41393I 0
u = −0.156078 + 1.107690I
a = 0.836814 + 0.411960I
b = −0.530807 + 0.949615I
3.28339 − 0.12770I 0
u = −0.156078 − 1.107690I
a = 0.836814 − 0.411960I
b = −0.530807 − 0.949615I
3.28339 + 0.12770I 0
u = 0.042875 + 0.874045I
a = 1.90713 + 0.24861I
b = −0.588240 + 0.918261I
3.76867 + 1.96043I 0
u = 0.042875 − 0.874045I
a = 1.90713 − 0.24861I
b = −0.588240 − 0.918261I
3.76867 − 1.96043I 0
u = −0.417159 + 1.047950I
a = 0.299074 + 0.140133I
b = −1.19668 − 0.87425I
−5.56249 + 5.90122I 0
u = −0.417159 − 1.047950I
a = 0.299074 − 0.140133I
b = −1.19668 + 0.87425I
−5.56249 − 5.90122I 0
u = −0.185789 + 1.114000I
a = −1.106120 − 0.671426I
b = 0.731886 − 1.071050I
2.38368 + 3.23403I 0
u = −0.185789 − 1.114000I
a = −1.106120 + 0.671426I
b = 0.731886 + 1.071050I
2.38368 − 3.23403I 0
u = −0.072876 + 1.144390I
a = −0.815391 − 0.632412I
b = 1.02596 − 1.49700I
2.77497 + 4.12483I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.072876 − 1.144390I
a = −0.815391 + 0.632412I
b = 1.02596 + 1.49700I
2.77497 − 4.12483I 0
u = −0.917208 + 0.691962I
a = −0.660072 − 0.639637I
b = 1.05527 − 0.97105I
−4.34907 − 5.78532I 0
u = −0.917208 − 0.691962I
a = −0.660072 + 0.639637I
b = 1.05527 + 0.97105I
−4.34907 + 5.78532I 0
u = −0.292839 + 0.778068I
a = −0.31649 − 1.74613I
b = 0.241986 − 1.050730I
−4.93078 + 2.17996I 0
u = −0.292839 − 0.778068I
a = −0.31649 + 1.74613I
b = 0.241986 + 1.050730I
−4.93078 − 2.17996I 0
u = 0.514617 + 1.052430I
a = 0.571008 − 0.326610I
b = −1.275220 + 0.149157I
0.36156 − 5.92102I 0
u = 0.514617 − 1.052430I
a = 0.571008 + 0.326610I
b = −1.275220 − 0.149157I
0.36156 + 5.92102I 0
u = −0.035844 + 0.826571I
a = 1.89667 − 1.26211I
b = −0.347194 − 0.690544I
−3.58582 − 2.05989I 0
u = −0.035844 − 0.826571I
a = 1.89667 + 1.26211I
b = −0.347194 + 0.690544I
−3.58582 + 2.05989I 0
u = 1.174280 + 0.031064I
a = 0.731603 − 0.530394I
b = −0.708208 + 1.015300I
−0.42978 + 6.80664I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.174280 − 0.031064I
a = 0.731603 + 0.530394I
b = −0.708208 − 1.015300I
−0.42978 − 6.80664I 0
u = −0.628690 + 1.011720I
a = −0.515365 − 0.264585I
b = 1.62562 + 0.14551I
−3.22183 + 11.49500I 0
u = −0.628690 − 1.011720I
a = −0.515365 + 0.264585I
b = 1.62562 − 0.14551I
−3.22183 − 11.49500I 0
u = 0.454783 + 1.108180I
a = −0.264591 + 0.167726I
b = 0.827780 − 0.453215I
−1.71882 − 2.08226I 0
u = 0.454783 − 1.108180I
a = −0.264591 − 0.167726I
b = 0.827780 + 0.453215I
−1.71882 + 2.08226I 0
u = 0.770889
a = −0.372602
b = 0.649394
−1.42928 0
u = 0.078790 + 1.253800I
a = 0.722169 + 0.771577I
b = −0.067686 + 1.009750I
4.52687 − 0.28955I 0
u = 0.078790 − 1.253800I
a = 0.722169 − 0.771577I
b = −0.067686 − 1.009750I
4.52687 + 0.28955I 0
u = −1.154960 + 0.507268I
a = −0.312798 − 0.749951I
b = 0.508256 + 0.770405I
−5.59782 − 1.30358I 0
u = −1.154960 − 0.507268I
a = −0.312798 + 0.749951I
b = 0.508256 − 0.770405I
−5.59782 + 1.30358I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.468048 + 1.185170I
a = −0.645720 + 0.382909I
b = 0.769112 + 1.137780I
1.99518 − 4.41462I 0
u = 0.468048 − 1.185170I
a = −0.645720 − 0.382909I
b = 0.769112 − 1.137780I
1.99518 + 4.41462I 0
u = −0.365267 + 1.225470I
a = 1.070730 + 0.548707I
b = −0.77496 + 1.41354I
7.68881 + 8.11256I 0
u = −0.365267 − 1.225470I
a = 1.070730 − 0.548707I
b = −0.77496 − 1.41354I
7.68881 − 8.11256I 0
u = −0.058843 + 0.710421I
a = 0.110257 + 0.636300I
b = −1.076690 + 0.456778I
2.75824 + 0.94900I 0
u = −0.058843 − 0.710421I
a = 0.110257 − 0.636300I
b = −1.076690 − 0.456778I
2.75824 − 0.94900I 0
u = 0.254160 + 1.262070I
a = 1.038250 − 0.416531I
b = −1.078240 − 0.810680I
0.82952 − 5.79904I 0
u = 0.254160 − 1.262070I
a = 1.038250 + 0.416531I
b = −1.078240 + 0.810680I
0.82952 + 5.79904I 0
u = 0.544422 + 0.455781I
a = −0.616904 + 0.358057I
b = 1.65097 + 0.64066I
−0.607696 + 1.062650I 0
u = 0.544422 − 0.455781I
a = −0.616904 − 0.358057I
b = 1.65097 − 0.64066I
−0.607696 − 1.062650I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.392218 + 1.234100I
a = 1.35293 + 0.81474I
b = −0.513121 + 0.786595I
−4.43472 + 1.08434I 0
u = −0.392218 − 1.234100I
a = 1.35293 − 0.81474I
b = −0.513121 − 0.786595I
−4.43472 − 1.08434I 0
u = 0.134815 + 1.288280I
a = −1.063060 + 0.845144I
b = 0.023499 + 0.757121I
7.48550 − 0.30234I 0
u = 0.134815 − 1.288280I
a = −1.063060 − 0.845144I
b = 0.023499 − 0.757121I
7.48550 + 0.30234I 0
u = 0.129168 + 1.293520I
a = −0.0344937 + 0.1283280I
b = −0.443884 + 1.279780I
3.59604 + 1.41572I 0
u = 0.129168 − 1.293520I
a = −0.0344937 − 0.1283280I
b = −0.443884 − 1.279780I
3.59604 − 1.41572I 0
u = −0.224277 + 1.282390I
a = −1.42949 − 0.90486I
b = 0.515504 − 0.396117I
−2.10216 + 4.13299I 0
u = −0.224277 − 1.282390I
a = −1.42949 + 0.90486I
b = 0.515504 + 0.396117I
−2.10216 − 4.13299I 0
u = 0.466994 + 1.222470I
a = 0.752734 − 0.579516I
b = −0.74668 − 1.67540I
5.39069 − 5.56331I 0
u = 0.466994 − 1.222470I
a = 0.752734 + 0.579516I
b = −0.74668 + 1.67540I
5.39069 + 5.56331I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.689909 + 0.018633I
a = 0.627722 + 1.195240I
b = −0.640424 − 0.974324I
4.08112 − 4.28867I 0
u = −0.689909 − 0.018633I
a = 0.627722 − 1.195240I
b = −0.640424 + 0.974324I
4.08112 + 4.28867I 0
u = −1.112310 + 0.693160I
a = −0.490535 + 0.349355I
b = 0.895156 − 0.775499I
−1.58290 − 2.49840I 0
u = −1.112310 − 0.693160I
a = −0.490535 − 0.349355I
b = 0.895156 + 0.775499I
−1.58290 + 2.49840I 0
u = 0.685620 + 1.137660I
a = −0.922510 − 0.559626I
b = −0.047576 + 0.816722I
4.23284 − 2.62278I 0
u = 0.685620 − 1.137660I
a = −0.922510 + 0.559626I
b = −0.047576 − 0.816722I
4.23284 + 2.62278I 0
u = −0.337289 + 1.285940I
a = −0.830160 − 0.004283I
b = −0.047814 − 0.870643I
8.02539 − 0.41935I 0
u = −0.337289 − 1.285940I
a = −0.830160 + 0.004283I
b = −0.047814 + 0.870643I
8.02539 + 0.41935I 0
u = 1.320310 + 0.240780I
a = −0.208873 + 0.441659I
b = 0.611708 − 0.680658I
0.180238 + 0.465413I 0
u = 1.320310 − 0.240780I
a = −0.208873 − 0.441659I
b = 0.611708 + 0.680658I
0.180238 − 0.465413I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.267828 + 1.316030I
a = −0.719672 − 0.684494I
b = 0.64805 − 1.65046I
4.77198 + 0.83961I 0
u = −0.267828 − 1.316030I
a = −0.719672 + 0.684494I
b = 0.64805 + 1.65046I
4.77198 − 0.83961I 0
u = −0.424786 + 0.496437I
a = 1.16223 + 1.35492I
b = −0.399878 + 1.352760I
−7.40262 − 2.17728I 0
u = −0.424786 − 0.496437I
a = 1.16223 − 1.35492I
b = −0.399878 − 1.352760I
−7.40262 + 2.17728I 0
u = −0.038537 + 0.645768I
a = −2.04459 + 0.59487I
b = 0.758645 + 1.052500I
−0.60483 − 8.80157I 0. + 5.91511I
u = −0.038537 − 0.645768I
a = −2.04459 − 0.59487I
b = 0.758645 − 1.052500I
−0.60483 + 8.80157I 0. − 5.91511I
u = −0.646035 + 1.196380I
a = −1.199700 − 0.219788I
b = 0.791908 − 1.085050I
−3.18263 + 7.65952I 0
u = −0.646035 − 1.196380I
a = −1.199700 + 0.219788I
b = 0.791908 + 1.085050I
−3.18263 − 7.65952I 0
u = 0.432649 + 1.294050I
a = 0.974867 − 0.393157I
b = −0.644214 − 0.814276I
2.41235 − 4.82981I 0
u = 0.432649 − 1.294050I
a = 0.974867 + 0.393157I
b = −0.644214 + 0.814276I
2.41235 + 4.82981I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.010834 + 1.372280I
a = 0.844158 + 0.823308I
b = 0.019363 + 0.733749I
5.75531 − 4.81060I 0
u = 0.010834 − 1.372280I
a = 0.844158 − 0.823308I
b = 0.019363 − 0.733749I
5.75531 + 4.81060I 0
u = −0.521815 + 0.272355I
a = 1.74165 + 1.72169I
b = −0.299454 − 0.648905I
−7.59186 + 2.72138I −12.80013 − 2.70423I
u = −0.521815 − 0.272355I
a = 1.74165 − 1.72169I
b = −0.299454 + 0.648905I
−7.59186 − 2.72138I −12.80013 + 2.70423I
u = 0.38337 + 1.36632I
a = −0.927977 + 0.531607I
b = 0.86865 + 1.45809I
5.65267 − 12.88380I 0
u = 0.38337 − 1.36632I
a = −0.927977 − 0.531607I
b = 0.86865 − 1.45809I
5.65267 + 12.88380I 0
u = 0.334531 + 0.468970I
a = −0.675876 − 0.038492I
b = −0.800093 + 0.731056I
2.85205 + 0.91488I −0.94274 + 1.15824I
u = 0.334531 − 0.468970I
a = −0.675876 + 0.038492I
b = −0.800093 − 0.731056I
2.85205 − 0.91488I −0.94274 − 1.15824I
u = 0.45026 + 1.35340I
a = −1.060430 + 0.679635I
b = 0.669703 + 1.023420I
−0.19042 − 7.55699I 0
u = 0.45026 − 1.35340I
a = −1.060430 − 0.679635I
b = 0.669703 − 1.023420I
−0.19042 + 7.55699I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.528484 + 0.213035I
a = 1.75800 + 0.90834I
b = −0.683018 − 0.472616I
−3.45760 − 2.92189I −11.27209 + 7.45409I
u = 0.528484 − 0.213035I
a = 1.75800 − 0.90834I
b = −0.683018 + 0.472616I
−3.45760 + 2.92189I −11.27209 − 7.45409I
u = −0.561562
a = 0.787362
b = −2.09875
0.814544 −30.4670
u = −1.44077 + 0.01593I
a = −0.587519 + 0.383106I
b = 0.858394 − 0.944654I
−4.23476 + 12.61430I 0
u = −1.44077 − 0.01593I
a = −0.587519 − 0.383106I
b = 0.858394 + 0.944654I
−4.23476 − 12.61430I 0
u = −0.53482 + 1.36009I
a = 1.062210 + 0.497907I
b = −0.870931 + 1.001330I
−4.99532 + 13.03690I 0
u = −0.53482 − 1.36009I
a = 1.062210 − 0.497907I
b = −0.870931 − 1.001330I
−4.99532 − 13.03690I 0
u = −0.74441 + 1.26540I
a = −0.860808 − 0.031820I
b = 0.674809 − 0.969090I
−1.76975 + 8.29393I 0
u = −0.74441 − 1.26540I
a = −0.860808 + 0.031820I
b = 0.674809 + 0.969090I
−1.76975 − 8.29393I 0
u = 0.58744 + 1.36665I
a = 1.103230 − 0.445508I
b = −0.75977 − 1.31407I
3.72944 − 12.99010I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.58744 − 1.36665I
a = 1.103230 + 0.445508I
b = −0.75977 + 1.31407I
3.72944 + 12.99010I 0
u = −0.481019 + 0.115239I
a = −2.57650 − 1.56654I
b = 0.410191 + 0.171541I
−5.79343 − 1.38744I −21.4132 + 3.7567I
u = −0.481019 − 0.115239I
a = −2.57650 + 1.56654I
b = 0.410191 − 0.171541I
−5.79343 + 1.38744I −21.4132 − 3.7567I
u = 0.33472 + 1.47214I
a = 0.700783 − 0.204753I
b = −0.089913 − 0.870847I
6.39421 − 5.14609I 0
u = 0.33472 − 1.47214I
a = 0.700783 + 0.204753I
b = −0.089913 + 0.870847I
6.39421 + 5.14609I 0
u = −0.81341 + 1.31169I
a = 0.859631 + 0.210575I
b = −0.93424 + 1.37043I
4.15775 + 9.21113I 0
u = −0.81341 − 1.31169I
a = 0.859631 − 0.210575I
b = −0.93424 − 1.37043I
4.15775 − 9.21113I 0
u = 0.62983 + 1.42064I
a = −0.835401 + 0.360950I
b = 0.85414 + 1.39486I
4.16831 − 7.40726I 0
u = 0.62983 − 1.42064I
a = −0.835401 − 0.360950I
b = 0.85414 − 1.39486I
4.16831 + 7.40726I 0
u = −0.71725 + 1.37949I
a = 0.797230 − 0.166760I
b = −0.018619 + 0.814905I
1.04644 + 9.93426I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.71725 − 1.37949I
a = 0.797230 + 0.166760I
b = −0.018619 − 0.814905I
1.04644 − 9.93426I 0
u = −0.64339 + 1.43204I
a = −0.995320 − 0.408568I
b = 0.84996 − 1.37107I
0.2685 + 19.6611I 0
u = −0.64339 − 1.43204I
a = −0.995320 + 0.408568I
b = 0.84996 + 1.37107I
0.2685 − 19.6611I 0
u = 0.174232 + 0.311525I
a = 1.35342 + 1.73252I
b = 0.740310 + 0.767898I
0.43885 − 3.97261I −4.58867 + 6.30476I
u = 0.174232 − 0.311525I
a = 1.35342 − 1.73252I
b = 0.740310 − 0.767898I
0.43885 + 3.97261I −4.58867 − 6.30476I
u = 0.13350 + 1.66182I
a = 0.182902 − 0.848840I
b = −0.203284 − 1.015750I
5.74598 − 3.15169I 0
u = 0.13350 − 1.66182I
a = 0.182902 + 0.848840I
b = −0.203284 + 1.015750I
5.74598 + 3.15169I 0
u = −0.268321 + 0.180713I
a = −0.03370 − 1.96521I
b = 0.390058 + 0.565987I
−0.115937 − 1.211200I −1.71106 + 5.73798I
u = −0.268321 − 0.180713I
a = −0.03370 + 1.96521I
b = 0.390058 − 0.565987I
−0.115937 + 1.211200I −1.71106 − 5.73798I
u = −1.33860 + 1.24162I
a = 0.190980 − 0.157162I
b = −0.134911 + 0.364622I
−3.95525 − 0.51884I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.33860 − 1.24162I
a = 0.190980 + 0.157162I
b = −0.134911 − 0.364622I
−3.95525 + 0.51884I 0
u = 0.0850182 + 0.0509450I
a = 2.91243 + 1.22774I
b = 0.41615 + 1.90731I
−0.098219 + 0.688436I 22.4733 + 24.2696I
u = 0.0850182 − 0.0509450I
a = 2.91243 − 1.22774I
b = 0.41615 − 1.90731I
−0.098219 − 0.688436I 22.4733 − 24.2696I
u = 2.06533
a = 0.0739488
b = −0.781278
2.65860 0
u = 0.32676 + 2.62056I
a = 0.072490 − 0.126025I
b = 0.059506 − 0.440324I
1.71445 + 0.27791I 0
u = 0.32676 − 2.62056I
a = 0.072490 + 0.126025I
b = 0.059506 + 0.440324I
1.71445 − 0.27791I 0
u = −4.68377
a = 0.0246154
b = −0.335586
1.74563 0
19
II.
I
u
2
= h5.49 × 10
35
u
35
+ 2.03 × 10
36
u
34
+ · · · + 3.21 × 10
35
b + 9.35 × 10
35
, 1.11 ×
10
36
u
35
+3.25×10
36
u
34
+· · ·+3.21×10
35
a+4.28×10
36
, u
36
+3u
35
+· · ·+2u−1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−3.45929u
35
− 10.1172u
34
+ ··· − 15.6682u − 13.3478
−1.71201u
35
− 6.33404u
34
+ ··· + 2.53692u − 2.91317
a
10
=
−4.52875u
35
− 14.2424u
34
+ ··· − 12.9497u − 12.8010
−0.876788u
35
− 3.53415u
34
+ ··· − 0.945543u − 2.54330
a
3
=
−1.90584u
35
− 6.76461u
34
+ ··· − 1.11450u − 1.28326
−1.48836u
35
− 4.75689u
34
+ ··· + 7.35670u − 2.93339
a
8
=
−5.17130u
35
− 16.4513u
34
+ ··· − 13.1313u − 16.2610
−1.71201u
35
− 6.33404u
34
+ ··· + 2.53692u − 2.91317
a
12
=
1.03070u
35
+ 4.55011u
34
+ ··· + 4.59314u − 1.05912
0.828479u
35
+ 3.19495u
34
+ ··· + 0.402309u + 1.25562
a
6
=
−2.36451u
35
− 9.76073u
34
+ ··· + 11.2727u − 2.17784
0.626280u
35
+ 1.00614u
34
+ ··· + 7.66594u + 2.12680
a
11
=
4.55144u
35
+ 14.4335u
34
+ ··· + 19.5780u + 17.4542
2.42464u
35
+ 7.42685u
34
+ ··· − 1.91737u + 5.53466
a
7
=
−2.34454u
35
− 9.06402u
34
+ ··· + 4.03352u + 0.662079
0.393530u
35
+ 0.844576u
34
+ ··· − 2.14879u + 3.10696
(ii) Obstruction class = 1
(iii) Cusp Shapes = 1.94625u
35
+ 8.11137u
34
+ ··· + 29.4415u − 9.23077
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
36
− 3u
35
+ ··· − 2u − 1
c
2
u
36
+ u
35
+ ··· + u + 1
c
3
u
36
+ 4u
35
+ ··· + 5u + 1
c
4
u
36
+ 3u
35
+ ··· + 2u − 1
c
5
u
36
− 12u
34
+ ··· − 7u + 1
c
6
u
36
− 4u
35
+ ··· − 5u + 1
c
7
u
36
− u
35
+ ··· − 20u + 1
c
8
u
36
− u
35
+ ··· − 2u − 1
c
9
u
36
− u
35
+ ··· − u + 1
c
10
u
36
− 11u
34
+ ··· + 7u − 1
c
11
u
36
+ u
35
+ ··· + 20u + 1
c
12
u
36
+ 2u
34
+ ··· + 28u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
36
+ 9y
35
+ ··· − 8y + 1
c
2
, c
9
y
36
− 29y
35
+ ··· − 41y + 1
c
3
, c
6
y
36
− 14y
35
+ ··· − 23y + 1
c
5
y
36
− 24y
35
+ ··· − 9y + 1
c
7
, c
11
y
36
− 27y
35
+ ··· − 410y + 1
c
8
y
36
+ 19y
35
+ ··· − 12y + 1
c
10
y
36
− 22y
35
+ ··· + 43y + 1
c
12
y
36
+ 4y
35
+ ··· − 718y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.513433 + 0.879138I
a = 1.21089 − 0.93698I
b = −0.510423 + 0.653036I
2.91514 + 3.61842I −6.84211 − 8.43726I
u = −0.513433 − 0.879138I
a = 1.21089 + 0.93698I
b = −0.510423 − 0.653036I
2.91514 − 3.61842I −6.84211 + 8.43726I
u = 0.148121 + 1.104210I
a = 0.684123 − 0.666890I
b = −0.92847 − 1.76071I
3.15811 − 3.20115I 0.53801 + 4.68884I
u = 0.148121 − 1.104210I
a = 0.684123 + 0.666890I
b = −0.92847 + 1.76071I
3.15811 + 3.20115I 0.53801 − 4.68884I
u = 0.078217 + 0.877293I
a = 1.47699 − 0.16598I
b = −0.730905 − 1.024890I
4.70897 − 1.41043I 4.33738 − 0.25252I
u = 0.078217 − 0.877293I
a = 1.47699 + 0.16598I
b = −0.730905 + 1.024890I
4.70897 + 1.41043I 4.33738 + 0.25252I
u = −0.028012 + 1.120900I
a = −1.120000 + 0.850450I
b = −0.029812 + 0.891231I
5.87666 + 1.19684I 2.23238 − 1.35617I
u = −0.028012 − 1.120900I
a = −1.120000 − 0.850450I
b = −0.029812 − 0.891231I
5.87666 − 1.19684I 2.23238 + 1.35617I
u = −0.325229 + 1.091960I
a = −0.855422 − 0.327155I
b = 1.15753 − 1.14792I
1.52175 + 5.31684I −1.54367 − 9.17326I
u = −0.325229 − 1.091960I
a = −0.855422 + 0.327155I
b = 1.15753 + 1.14792I
1.52175 − 5.31684I −1.54367 + 9.17326I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.582575 + 0.993759I
a = −0.712941 − 0.290134I
b = 0.305738 + 0.032706I
−4.24924 + 0.91101I −7.06733 − 1.09824I
u = 0.582575 − 0.993759I
a = −0.712941 + 0.290134I
b = 0.305738 − 0.032706I
−4.24924 − 0.91101I −7.06733 + 1.09824I
u = 0.656433 + 0.962827I
a = −0.950023 − 0.386967I
b = 0.922459 + 0.714702I
−1.30948 − 10.82960I −4.00000 + 9.18795I
u = 0.656433 − 0.962827I
a = −0.950023 + 0.386967I
b = 0.922459 − 0.714702I
−1.30948 + 10.82960I −4.00000 − 9.18795I
u = 0.110848 + 0.826584I
a = 0.15987 + 1.93676I
b = −0.135559 + 1.249010I
−6.24945 − 2.94276I −6.41571 + 3.50365I
u = 0.110848 − 0.826584I
a = 0.15987 − 1.93676I
b = −0.135559 − 1.249010I
−6.24945 + 2.94276I −6.41571 − 3.50365I
u = −1.23273
a = −0.466371
b = 0.587579
−2.13658 −23.3520
u = 0.225514 + 1.260070I
a = 1.57213 − 0.81403I
b = −0.412773 − 0.430998I
−1.90275 − 4.14418I 13.1117 + 7.7273I
u = 0.225514 − 1.260070I
a = 1.57213 + 0.81403I
b = −0.412773 + 0.430998I
−1.90275 + 4.14418I 13.1117 − 7.7273I
u = −0.406209 + 1.224760I
a = −0.906751 − 0.448915I
b = 0.868717 − 0.986190I
1.40303 + 5.18405I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.406209 − 1.224760I
a = −0.906751 + 0.448915I
b = 0.868717 + 0.986190I
1.40303 − 5.18405I 0
u = −0.648514
a = 0.935052
b = −1.64043
1.30043 −4.10800
u = −0.53294 + 1.37657I
a = −0.887638 − 0.081145I
b = −0.032126 − 0.700402I
4.81586 + 0.79648I 0
u = −0.53294 − 1.37657I
a = −0.887638 + 0.081145I
b = −0.032126 + 0.700402I
4.81586 − 0.79648I 0
u = −0.69539 + 1.31543I
a = 0.883060 + 0.312348I
b = −0.88795 + 1.40407I
5.27957 + 8.62308I 0
u = −0.69539 − 1.31543I
a = 0.883060 − 0.312348I
b = −0.88795 − 1.40407I
5.27957 − 8.62308I 0
u = −0.13835 + 1.53495I
a = 0.011485 + 0.672209I
b = −0.172141 + 1.105550I
6.78820 + 2.69969I 0
u = −0.13835 − 1.53495I
a = 0.011485 − 0.672209I
b = −0.172141 − 1.105550I
6.78820 − 2.69969I 0
u = −0.409575 + 0.067248I
a = −0.562893 + 0.386600I
b = 0.98420 − 1.47344I
−0.257106 − 0.711076I −18.0984 − 11.8298I
u = −0.409575 − 0.067248I
a = −0.562893 − 0.386600I
b = 0.98420 + 1.47344I
−0.257106 + 0.711076I −18.0984 + 11.8298I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.281928 + 0.193042I
a = 2.78458 − 2.66812I
b = 0.094472 − 0.525816I
−5.32747 + 1.20247I −4.76585 + 3.05762I
u = 0.281928 − 0.193042I
a = 2.78458 + 2.66812I
b = 0.094472 + 0.525816I
−5.32747 − 1.20247I −4.76585 − 3.05762I
u = 0.255351 + 0.208955I
a = −3.08002 + 2.15745I
b = 0.089146 + 1.404570I
−5.74121 + 3.05209I −7.75223 − 2.39920I
u = 0.255351 − 0.208955I
a = −3.08002 − 2.15745I
b = 0.089146 − 1.404570I
−5.74121 − 3.05209I −7.75223 + 2.39920I
u = −2.84496
a = 0.104423
b = −0.637791
2.52288 0
u = 3.14650
a = 0.0119985
b = −0.473565
1.77107 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 3u
35
+ ··· − 2u − 1)(u
147
− 8u
146
+ ··· + 61480u + 5747)
c
2
(u
36
+ u
35
+ ··· + u + 1)(u
147
− 2u
146
+ ··· + 1.10468 × 10
7
u + 496609)
c
3
(u
36
+ 4u
35
+ ··· + 5u + 1)(u
147
− 3u
146
+ ··· + 108035u + 24613)
c
4
(u
36
+ 3u
35
+ ··· + 2u − 1)(u
147
− 8u
146
+ ··· + 61480u + 5747)
c
5
(u
36
− 12u
34
+ ··· − 7u + 1)(u
147
− 3u
146
+ ··· − 73u − 61)
c
6
(u
36
− 4u
35
+ ··· − 5u + 1)(u
147
− 3u
146
+ ··· + 108035u + 24613)
c
7
(u
36
− u
35
+ ··· − 20u + 1)(u
147
− 2u
146
+ ··· − 51044u + 7693)
c
8
(u
36
− u
35
+ ··· − 2u − 1)(u
147
+ 6u
146
+ ··· − 435868u + 78457)
c
9
(u
36
− u
35
+ ··· − u + 1)(u
147
− 2u
146
+ ··· + 1.10468 × 10
7
u + 496609)
c
10
(u
36
− 11u
34
+ ··· + 7u − 1)
· (u
147
+ u
146
+ ··· + 4068286687u + 578211329)
c
11
(u
36
+ u
35
+ ··· + 20u + 1)(u
147
− 2u
146
+ ··· − 51044u + 7693)
c
12
(u
36
+ 2u
34
+ ··· + 28u + 1)(u
147
+ 7u
146
+ ··· + 24u − 1)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
36
+ 9y
35
+ ··· − 8y + 1)
· (y
147
+ 80y
146
+ ··· + 2204675628y −33028009)
c
2
, c
9
(y
36
− 29y
35
+ ··· − 41y + 1)
· (y
147
− 110y
146
+ ··· + 135599578671993y −246620498881)
c
3
, c
6
(y
36
− 14y
35
+ ··· − 23y + 1)
· (y
147
− 83y
146
+ ··· + 10185969771y −605799769)
c
5
(y
36
− 24y
35
+ ··· − 9y + 1)(y
147
− 29y
146
+ ··· − 148879y −3721)
c
7
, c
11
(y
36
− 27y
35
+ ··· − 410y + 1)
· (y
147
− 104y
146
+ ··· + 12402263874y −59182249)
c
8
(y
36
+ 19y
35
+ ··· − 12y + 1)
· (y
147
+ 54y
146
+ ··· − 169630825840y −6155500849)
c
10
(y
36
− 22y
35
+ ··· + 43y + 1)
· (y
147
+ 17y
146
+ ··· − 2.57 × 10
18
y −3.34 × 10
17
)
c
12
(y
36
+ 4y
35
+ ··· − 718y + 1)(y
147
+ 7y
146
+ ··· + 230y −1)
30
