12a
0014
(K12a
0014
)
A knot diagram
1
Linearized knot diagam
3 5 6 8 2 11 12 4 7 1 9 10
Solving Sequence
4,9
8
5,12
7 10 1 11 6 3 2
c
8
c
4
c
7
c
9
c
12
c
11
c
6
c
3
c
2
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.85861 × 10
554
u
134
− 1.62328 × 10
554
u
133
+ ··· + 7.59512 × 10
556
b + 5.83950 × 10
556
,
6.60944 × 10
555
u
134
+ 5.58826 × 10
555
u
133
+ ··· + 3.03805 × 10
557
a − 5.01249 × 10
557
,
u
135
+ u
134
+ ··· + 5120u + 1024i
I
v
1
= ha, 1728v
9
− 4936v
8
+ 9872v
7
+ 12908v
6
− 24680v
5
− 34552v
4
+ 91527v
3
+ 4936v
2
+ 3335b − 613,
v
10
− 3v
9
+ 6v
8
+ 7v
7
− 16v
6
− 19v
5
+ 58v
4
− 2v
3
− 7v
2
− v + 1i
* 2 irreducible components of dim
C
= 0, with total 145 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−2.86 × 10
554
u
134
− 1.62 × 10
554
u
133
+ · · · + 7.60 × 10
556
b + 5.84 ×
10
556
, 6.61 × 10
555
u
134
+ 5.59 × 10
555
u
133
+ · · · + 3.04 × 10
557
a − 5.01 ×
10
557
, u
135
+ u
134
+ · · · + 5120u + 1024i
(i) Arc colorings
a
4
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
5
=
u
u
3
+ u
a
12
=
−0.0217555u
134
− 0.0183942u
133
+ ··· − 118.348u + 1.64990
0.00376375u
134
+ 0.00213726u
133
+ ··· + 5.03100u − 0.768849
a
7
=
0.0231345u
134
+ 0.0198385u
133
+ ··· + 78.2695u − 13.5936
−0.00174481u
134
+ 0.000798106u
133
+ ··· + 7.06589u + 2.98825
a
10
=
−0.0117679u
134
− 0.0105468u
133
+ ··· − 58.9017u + 4.02896
−0.000139894u
134
− 0.00437016u
133
+ ··· − 30.6553u − 8.90982
a
1
=
−0.00855818u
134
− 0.00893424u
133
+ ··· − 68.5627u − 7.86120
−0.000139894u
134
− 0.00437016u
133
+ ··· − 30.6553u − 8.90982
a
11
=
−0.0179918u
134
− 0.0162570u
133
+ ··· − 113.317u + 0.881056
0.00376375u
134
+ 0.00213726u
133
+ ··· + 5.03100u − 0.768849
a
6
=
−0.00493334u
134
− 0.00304908u
133
+ ··· − 27.2183u + 1.43371
0.00362484u
134
+ 0.00588516u
133
+ ··· + 41.3444u + 9.29491
a
3
=
−0.00927652u
134
− 0.00766135u
133
+ ··· − 11.8409u + 3.00848
−0.00413661u
134
− 0.00548717u
133
+ ··· − 36.5774u − 8.33864
a
2
=
−0.00806844u
134
− 0.00630388u
133
+ ··· − 11.2024u + 3.00445
−0.00434251u
134
− 0.00454724u
133
+ ··· − 37.9408u − 8.49565
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0466570u
134
+ 0.0350645u
133
+ ··· + 138.453u − 37.6705
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
135
+ 64u
134
+ ··· + 158u − 1
c
2
, c
5
u
135
+ 6u
134
+ ··· − 2u − 1
c
3
u
135
− 6u
134
+ ··· + 18532724u − 1174793
c
4
, c
8
u
135
− u
134
+ ··· + 5120u − 1024
c
6
u
135
− 3u
134
+ ··· + 17948537u − 2522669
c
7
u
135
+ 3u
134
+ ··· + 12401u − 47809
c
9
u
135
+ 9u
134
+ ··· + 3u + 1
c
10
, c
12
u
135
+ 3u
134
+ ··· + 23u − 1
c
11
u
135
− 23u
134
+ ··· + 3u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
135
+ 20y
134
+ ··· + 22410y −1
c
2
, c
5
y
135
+ 64y
134
+ ··· + 158y −1
c
3
y
135
− 24y
134
+ ··· + 270394515667686y −1380138592849
c
4
, c
8
y
135
+ 55y
134
+ ··· − 24117248y −1048576
c
6
y
135
+ 85y
134
+ ··· + 285856654348325y −6363858883561
c
7
y
135
+ 149y
134
+ ··· − 218902272299y −2285700481
c
9
y
135
− 23y
134
+ ··· + 9y −1
c
10
, c
12
y
135
− 95y
134
+ ··· − 23y −1
c
11
y
135
+ 9y
134
+ ··· − 23y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.433893 + 0.902869I
a = 0.425864 + 0.882091I
b = −0.003490 + 0.677446I
0.69426 − 1.95174I 0
u = −0.433893 − 0.902869I
a = 0.425864 − 0.882091I
b = −0.003490 − 0.677446I
0.69426 + 1.95174I 0
u = −0.088159 + 0.991363I
a = 0.526555 + 0.438584I
b = −0.02808 − 1.59756I
−1.95084 + 4.11866I 0
u = −0.088159 − 0.991363I
a = 0.526555 − 0.438584I
b = −0.02808 + 1.59756I
−1.95084 − 4.11866I 0
u = 0.631449 + 0.759674I
a = −0.118886 + 1.358980I
b = −1.16906 − 1.10258I
4.93681 + 3.31408I 0
u = 0.631449 − 0.759674I
a = −0.118886 − 1.358980I
b = −1.16906 + 1.10258I
4.93681 − 3.31408I 0
u = 0.502757 + 0.881596I
a = −2.43306 − 0.45379I
b = 0.96563 − 1.13597I
0.83592 + 5.69951I 0
u = 0.502757 − 0.881596I
a = −2.43306 + 0.45379I
b = 0.96563 + 1.13597I
0.83592 − 5.69951I 0
u = −0.815971 + 0.551004I
a = 1.58128 − 1.61392I
b = −1.03373 − 1.19051I
3.37680 + 5.10317I 0
u = −0.815971 − 0.551004I
a = 1.58128 + 1.61392I
b = −1.03373 + 1.19051I
3.37680 − 5.10317I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.723890 + 0.651860I
a = 1.72127 + 1.34248I
b = −1.20491 + 1.04638I
4.99306 − 0.38975I 0
u = 0.723890 − 0.651860I
a = 1.72127 − 1.34248I
b = −1.20491 − 1.04638I
4.99306 + 0.38975I 0
u = −0.286505 + 0.930576I
a = 1.90508 − 0.43378I
b = −1.67062 − 0.41030I
0.509155 + 0.687850I 0
u = −0.286505 − 0.930576I
a = 1.90508 + 0.43378I
b = −1.67062 + 0.41030I
0.509155 − 0.687850I 0
u = 0.820910 + 0.498296I
a = 0.438207 − 0.040079I
b = 0.89893 + 1.13522I
1.03911 − 2.79672I 0
u = 0.820910 − 0.498296I
a = 0.438207 + 0.040079I
b = 0.89893 − 1.13522I
1.03911 + 2.79672I 0
u = −0.941752 + 0.162453I
a = 0.409172 − 0.067675I
b = 0.981886 − 0.759449I
−2.45542 + 0.43451I 0
u = −0.941752 − 0.162453I
a = 0.409172 + 0.067675I
b = 0.981886 + 0.759449I
−2.45542 − 0.43451I 0
u = 0.893004 + 0.316819I
a = 0.456893 − 0.202993I
b = −0.299724 − 0.257774I
−0.44956 − 3.21138I 0
u = 0.893004 − 0.316819I
a = 0.456893 + 0.202993I
b = −0.299724 + 0.257774I
−0.44956 + 3.21138I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.590004 + 0.893147I
a = 1.68981 + 0.84924I
b = −1.59251 + 0.85847I
4.52600 + 1.48756I 0
u = 0.590004 − 0.893147I
a = 1.68981 − 0.84924I
b = −1.59251 − 0.85847I
4.52600 − 1.48756I 0
u = −0.445366 + 0.977234I
a = 0.452646 + 0.253352I
b = 0.44042 − 1.65879I
−0.79606 − 2.83608I 0
u = −0.445366 − 0.977234I
a = 0.452646 − 0.253352I
b = 0.44042 + 1.65879I
−0.79606 + 2.83608I 0
u = 0.191778 + 1.074470I
a = 0.032317 − 1.273820I
b = 0.151983 − 0.672457I
−3.03176 − 0.85487I 0
u = 0.191778 − 1.074470I
a = 0.032317 + 1.273820I
b = 0.151983 + 0.672457I
−3.03176 + 0.85487I 0
u = −0.990170 + 0.484858I
a = 0.391659 + 0.025478I
b = 1.08547 − 1.10609I
−1.01744 + 7.35867I 0
u = −0.990170 − 0.484858I
a = 0.391659 − 0.025478I
b = 1.08547 + 1.10609I
−1.01744 − 7.35867I 0
u = 0.481098 + 0.753333I
a = 0.509721 − 0.175540I
b = 0.51775 + 1.39847I
1.20916 − 1.59276I 0
u = 0.481098 − 0.753333I
a = 0.509721 + 0.175540I
b = 0.51775 − 1.39847I
1.20916 + 1.59276I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.443516 + 1.020560I
a = 0.238754 − 0.904113I
b = −0.86136 + 1.53086I
−0.61654 − 3.16359I 0
u = −0.443516 − 1.020560I
a = 0.238754 + 0.904113I
b = −0.86136 − 1.53086I
−0.61654 + 3.16359I 0
u = 0.339264 + 1.068830I
a = −1.47861 + 1.42497I
b = 0.426462 + 0.401866I
−2.46009 + 0.50056I 0
u = 0.339264 − 1.068830I
a = −1.47861 − 1.42497I
b = 0.426462 − 0.401866I
−2.46009 − 0.50056I 0
u = −0.623499 + 0.615029I
a = −0.33794 − 1.74201I
b = −1.17208 + 0.86835I
3.69009 + 1.55088I 0
u = −0.623499 − 0.615029I
a = −0.33794 + 1.74201I
b = −1.17208 − 0.86835I
3.69009 − 1.55088I 0
u = −0.550053 + 0.983794I
a = −2.17739 − 0.86338I
b = 0.501284 − 0.240213I
1.79298 − 3.12616I 0
u = −0.550053 − 0.983794I
a = −2.17739 + 0.86338I
b = 0.501284 + 0.240213I
1.79298 + 3.12616I 0
u = −0.589368 + 0.630131I
a = −4.59614 + 0.09223I
b = 0.333908 − 0.021727I
2.86400 − 1.41798I 0
u = −0.589368 − 0.630131I
a = −4.59614 − 0.09223I
b = 0.333908 + 0.021727I
2.86400 + 1.41798I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.365673 + 0.778346I
a = −3.07428 + 0.03139I
b = 0.843566 + 0.998417I
0.007085 − 0.583291I 0
u = −0.365673 − 0.778346I
a = −3.07428 − 0.03139I
b = 0.843566 − 0.998417I
0.007085 + 0.583291I 0
u = 0.668626 + 0.525046I
a = 0.0856444 + 0.0925644I
b = −0.726879 − 1.201160I
6.97880 − 6.19911I 0
u = 0.668626 − 0.525046I
a = 0.0856444 − 0.0925644I
b = −0.726879 + 1.201160I
6.97880 + 6.19911I 0
u = 0.772865 + 0.347439I
a = 0.412713 − 0.321525I
b = 0.651085 − 0.272576I
−1.81324 + 2.17307I 0
u = 0.772865 − 0.347439I
a = 0.412713 + 0.321525I
b = 0.651085 + 0.272576I
−1.81324 − 2.17307I 0
u = −0.452839 + 0.707788I
a = 1.67407 − 0.21929I
b = −0.130083 − 0.378680I
1.17674 − 1.83944I 0
u = −0.452839 − 0.707788I
a = 1.67407 + 0.21929I
b = −0.130083 + 0.378680I
1.17674 + 1.83944I 0
u = −0.496150 + 1.048840I
a = 2.12716 − 0.01875I
b = −0.930265 − 1.012370I
4.32893 − 5.56092I 0
u = −0.496150 − 1.048840I
a = 2.12716 + 0.01875I
b = −0.930265 + 1.012370I
4.32893 + 5.56092I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.112890 + 1.155770I
a = −1.23215 − 0.77542I
b = 1.143360 + 0.395454I
−4.35305 − 0.80319I 0
u = 0.112890 − 1.155770I
a = −1.23215 + 0.77542I
b = 1.143360 − 0.395454I
−4.35305 + 0.80319I 0
u = −0.578898 + 1.010340I
a = 1.58625 − 0.72032I
b = −1.77072 − 0.84919I
2.46679 − 6.31017I 0
u = −0.578898 − 1.010340I
a = 1.58625 + 0.72032I
b = −1.77072 + 0.84919I
2.46679 + 6.31017I 0
u = 0.725689 + 0.400756I
a = −3.76868 − 3.42147I
b = 0.278904 − 0.172453I
1.53614 − 3.00834I 0
u = 0.725689 − 0.400756I
a = −3.76868 + 3.42147I
b = 0.278904 + 0.172453I
1.53614 + 3.00834I 0
u = 0.481287 + 1.068970I
a = 0.197471 − 0.841431I
b = 0.010703 − 0.766277I
−1.58896 + 6.54144I 0
u = 0.481287 − 1.068970I
a = 0.197471 + 0.841431I
b = 0.010703 + 0.766277I
−1.58896 − 6.54144I 0
u = −0.656704 + 0.498851I
a = 0.566892 + 0.382420I
b = −0.087495 + 0.429606I
1.28270 − 0.95263I 0
u = −0.656704 − 0.498851I
a = 0.566892 − 0.382420I
b = −0.087495 − 0.429606I
1.28270 + 0.95263I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.629267 + 0.993388I
a = 0.004352 + 0.963506I
b = −1.15966 − 1.47979I
3.94029 + 5.57514I 0
u = 0.629267 − 0.993388I
a = 0.004352 − 0.963506I
b = −1.15966 + 1.47979I
3.94029 − 5.57514I 0
u = 1.040040 + 0.563110I
a = 0.0868298 + 0.0960131I
b = −0.95954 − 1.06127I
5.57738 − 8.05927I 0
u = 1.040040 − 0.563110I
a = 0.0868298 − 0.0960131I
b = −0.95954 + 1.06127I
5.57738 + 8.05927I 0
u = −1.140180 + 0.387620I
a = 0.0904162 − 0.0960153I
b = −0.926318 + 0.886409I
1.11874 + 5.27197I 0
u = −1.140180 − 0.387620I
a = 0.0904162 + 0.0960153I
b = −0.926318 − 0.886409I
1.11874 − 5.27197I 0
u = 0.589828 + 1.069090I
a = 2.00528 + 0.26829I
b = −0.99280 + 1.06486I
5.30424 + 11.13160I 0
u = 0.589828 − 1.069090I
a = 2.00528 − 0.26829I
b = −0.99280 − 1.06486I
5.30424 − 11.13160I 0
u = −0.633947 + 0.436844I
a = 0.0846008 + 0.0912729I
b = −0.247208 − 1.076090I
6.64310 − 2.61859I 13.5869 + 5.9059I
u = −0.633947 − 0.436844I
a = 0.0846008 − 0.0912729I
b = −0.247208 + 1.076090I
6.64310 + 2.61859I 13.5869 − 5.9059I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.552429 + 1.099210I
a = 1.173310 − 0.414694I
b = −0.471056 − 0.468484I
−0.60252 − 3.76215I 0
u = −0.552429 − 1.099210I
a = 1.173310 + 0.414694I
b = −0.471056 + 0.468484I
−0.60252 + 3.76215I 0
u = 0.582727 + 1.090680I
a = −1.82057 + 0.68547I
b = 0.577849 + 0.283833I
−0.46769 + 8.00362I 0
u = 0.582727 − 1.090680I
a = −1.82057 − 0.68547I
b = 0.577849 − 0.283833I
−0.46769 − 8.00362I 0
u = −0.646398 + 1.074720I
a = −0.001596 − 0.867987I
b = −1.18823 + 1.60860I
1.76178 − 10.59480I 0
u = −0.646398 − 1.074720I
a = −0.001596 + 0.867987I
b = −1.18823 − 1.60860I
1.76178 + 10.59480I 0
u = 0.639303 + 1.102260I
a = −1.75944 − 0.48026I
b = 1.23043 − 1.27483I
−0.80905 + 8.28455I 0
u = 0.639303 − 1.102260I
a = −1.75944 + 0.48026I
b = 1.23043 + 1.27483I
−0.80905 − 8.28455I 0
u = −0.371680 + 0.616968I
a = 0.0850048 − 0.0914427I
b = −0.60482 + 1.32317I
5.89517 + 1.74663I 4.15206 + 6.40340I
u = −0.371680 − 0.616968I
a = 0.0850048 + 0.0914427I
b = −0.60482 − 1.32317I
5.89517 − 1.74663I 4.15206 − 6.40340I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.014431 + 1.282090I
a = −1.32591 + 0.49774I
b = 1.33035 − 0.50632I
−7.94598 + 4.71009I 0
u = 0.014431 − 1.282090I
a = −1.32591 − 0.49774I
b = 1.33035 + 0.50632I
−7.94598 − 4.71009I 0
u = −0.509603 + 1.177960I
a = −1.72450 + 0.20684I
b = 1.30628 + 1.11278I
−5.66349 − 5.47096I 0
u = −0.509603 − 1.177960I
a = −1.72450 − 0.20684I
b = 1.30628 − 1.11278I
−5.66349 + 5.47096I 0
u = −1.130630 + 0.611667I
a = 0.0864648 − 0.0975943I
b = −1.04757 + 1.04934I
3.24218 + 13.03280I 0
u = −1.130630 − 0.611667I
a = 0.0864648 + 0.0975943I
b = −1.04757 − 1.04934I
3.24218 − 13.03280I 0
u = 0.391651 + 1.225990I
a = 1.088490 + 0.289570I
b = −0.591728 + 0.328514I
−5.15906 + 0.74614I 0
u = 0.391651 − 1.225990I
a = 1.088490 − 0.289570I
b = −0.591728 − 0.328514I
−5.15906 − 0.74614I 0
u = −0.225814 + 1.273210I
a = −1.031970 + 0.627472I
b = 1.241350 − 0.220611I
−7.52069 − 3.51563I 0
u = −0.225814 − 1.273210I
a = −1.031970 − 0.627472I
b = 1.241350 + 0.220611I
−7.52069 + 3.51563I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.662169 + 0.075701I
a = 2.56174 + 4.32224I
b = −0.074759 + 0.451489I
0.92608 − 2.64149I 17.6522 − 0.3942I
u = 0.662169 − 0.075701I
a = 2.56174 − 4.32224I
b = −0.074759 − 0.451489I
0.92608 + 2.64149I 17.6522 + 0.3942I
u = 0.620268 + 1.182070I
a = 1.096130 + 0.449832I
b = −0.538917 + 0.534247I
−3.04734 + 8.79533I 0
u = 0.620268 − 1.182070I
a = 1.096130 − 0.449832I
b = −0.538917 − 0.534247I
−3.04734 − 8.79533I 0
u = 0.403972 + 0.517854I
a = 2.33572 − 0.74408I
b = 0.143086 + 0.404967I
0.35725 − 2.80293I 2.42705 − 0.32410I
u = 0.403972 − 0.517854I
a = 2.33572 + 0.74408I
b = 0.143086 − 0.404967I
0.35725 + 2.80293I 2.42705 + 0.32410I
u = −0.602855 + 0.254814I
a = 2.72144 − 2.58123I
b = −0.502158 − 0.739354I
1.54023 − 0.58667I 7.56757 + 1.83797I
u = −0.602855 − 0.254814I
a = 2.72144 + 2.58123I
b = −0.502158 + 0.739354I
1.54023 + 0.58667I 7.56757 − 1.83797I
u = 0.294810 + 0.580053I
a = 0.0856960 − 0.0910701I
b = −0.308352 + 1.276130I
5.74020 + 6.92480I 3.01363 − 13.60035I
u = 0.294810 − 0.580053I
a = 0.0856960 + 0.0910701I
b = −0.308352 − 1.276130I
5.74020 − 6.92480I 3.01363 + 13.60035I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.686340 + 1.161910I
a = −1.62681 + 0.49214I
b = 1.30606 + 1.32594I
−3.15409 − 13.45310I 0
u = −0.686340 − 1.161910I
a = −1.62681 − 0.49214I
b = 1.30606 − 1.32594I
−3.15409 + 13.45310I 0
u = 1.344020 + 0.136150I
a = 0.0950984 − 0.0647583I
b = −0.471899 + 0.378040I
0.05421 + 4.55763I 0
u = 1.344020 − 0.136150I
a = 0.0950984 + 0.0647583I
b = −0.471899 − 0.378040I
0.05421 − 4.55763I 0
u = 0.384450 + 1.300810I
a = −0.030097 + 0.608646I
b = −0.190987 − 0.463686I
3.24444 − 3.62921I 0
u = 0.384450 − 1.300810I
a = −0.030097 − 0.608646I
b = −0.190987 + 0.463686I
3.24444 + 3.62921I 0
u = −1.249770 + 0.549727I
a = 0.0607854 + 0.0863081I
b = −0.017969 − 0.512909I
4.49122 − 0.85357I 0
u = −1.249770 − 0.549727I
a = 0.0607854 − 0.0863081I
b = −0.017969 + 0.512909I
4.49122 + 0.85357I 0
u = −0.136573 + 1.365360I
a = 1.145410 + 0.440251I
b = −0.896421 − 0.512479I
−2.40247 − 5.42914I 0
u = −0.136573 − 1.365360I
a = 1.145410 − 0.440251I
b = −0.896421 + 0.512479I
−2.40247 + 5.42914I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.744358 + 1.163120I
a = 1.66252 + 0.48550I
b = −1.13573 + 1.13323I
3.6652 + 14.5289I 0
u = 0.744358 − 1.163120I
a = 1.66252 − 0.48550I
b = −1.13573 − 1.13323I
3.6652 − 14.5289I 0
u = −0.666553 + 1.237420I
a = 1.60652 − 0.30023I
b = −1.15631 − 1.03713I
−1.66694 − 11.66010I 0
u = −0.666553 − 1.237420I
a = 1.60652 + 0.30023I
b = −1.15631 + 1.03713I
−1.66694 + 11.66010I 0
u = 0.77832 + 1.18182I
a = −0.571885 − 0.230633I
b = 0.618955 − 0.450301I
−2.95130 + 3.55729I 0
u = 0.77832 − 1.18182I
a = −0.571885 + 0.230633I
b = 0.618955 + 0.450301I
−2.95130 − 3.55729I 0
u = −0.80813 + 1.16214I
a = −0.735772 + 0.120500I
b = 0.518682 + 0.685982I
2.64360 − 6.29046I 0
u = −0.80813 − 1.16214I
a = −0.735772 − 0.120500I
b = 0.518682 − 0.685982I
2.64360 + 6.29046I 0
u = −0.65588 + 1.25533I
a = −0.401258 − 0.284299I
b = 0.105477 + 0.481202I
4.13066 − 2.35961I 0
u = −0.65588 − 1.25533I
a = −0.401258 + 0.284299I
b = 0.105477 − 0.481202I
4.13066 + 2.35961I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.79014 + 1.19093I
a = 1.57507 − 0.52400I
b = −1.17804 − 1.15638I
1.3407 − 19.9336I 0
u = −0.79014 − 1.19093I
a = 1.57507 + 0.52400I
b = −1.17804 + 1.15638I
1.3407 + 19.9336I 0
u = 0.83652 + 1.17406I
a = −0.776566 − 0.188561I
b = 0.603281 − 0.750118I
0.38712 + 11.78350I 0
u = 0.83652 − 1.17406I
a = −0.776566 + 0.188561I
b = 0.603281 + 0.750118I
0.38712 − 11.78350I 0
u = 1.22663 + 0.77521I
a = 0.0435401 − 0.1234290I
b = 0.297296 + 0.416488I
1.92024 − 4.49255I 0
u = 1.22663 − 0.77521I
a = 0.0435401 + 0.1234290I
b = 0.297296 − 0.416488I
1.92024 + 4.49255I 0
u = 0.23708 + 1.43326I
a = 1.211770 − 0.275554I
b = −1.051090 + 0.550180I
−5.87319 + 10.08940I 0
u = 0.23708 − 1.43326I
a = 1.211770 + 0.275554I
b = −1.051090 − 0.550180I
−5.87319 − 10.08940I 0
u = 0.04867 + 1.45594I
a = 0.991471 − 0.338850I
b = −0.907655 + 0.317214I
−6.41600 + 1.19724I 0
u = 0.04867 − 1.45594I
a = 0.991471 + 0.338850I
b = −0.907655 − 0.317214I
−6.41600 − 1.19724I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.122099 + 0.517174I
a = 1.009960 + 0.022377I
b = 0.064215 + 0.848763I
0.66023 − 1.44451I 4.74429 + 4.89745I
u = −0.122099 − 0.517174I
a = 1.009960 − 0.022377I
b = 0.064215 − 0.848763I
0.66023 + 1.44451I 4.74429 − 4.89745I
u = −0.073108 + 0.406684I
a = 9.86795 − 2.20347I
b = −0.465287 + 0.154077I
2.17840 − 2.18123I −22.4359 + 2.0088I
u = −0.073108 − 0.406684I
a = 9.86795 + 2.20347I
b = −0.465287 − 0.154077I
2.17840 + 2.18123I −22.4359 − 2.0088I
u = −0.286740
a = 4.63701
b = −0.618288
2.30295 2.03470
18
II. I
v
1
= ha, 1728v
9
− 4936v
8
+ · · · + 3335b − 613, v
10
− 3v
9
+ · · · − v + 1i
(i) Arc colorings
a
4
=
v
0
a
9
=
1
0
a
8
=
1
0
a
5
=
v
0
a
12
=
0
−0.518141v
9
+ 1.48006v
8
+ ··· − 1.48006v
2
+ 0.183808
a
7
=
1
−0.462969v
9
+ 1.33373v
8
+ ··· − 1.33373v
2
+ 1.81379
a
10
=
0.462969v
9
− 1.33373v
8
+ ··· + 1.33373v
2
− 0.813793
1.14783v
9
− 3.29565v
8
+ ··· + 3.29565v
2
− 1.75652
a
1
=
0.684858v
9
− 1.96192v
8
+ ··· + 1.96192v
2
− 0.942729
1.14783v
9
− 3.29565v
8
+ ··· + 3.29565v
2
− 1.75652
a
11
=
−0.518141v
9
+ 1.48006v
8
+ ··· − 1.48006v
2
+ 0.183808
−0.518141v
9
+ 1.48006v
8
+ ··· − 1.48006v
2
+ 0.183808
a
6
=
−0.684858v
9
+ 1.96192v
8
+ ··· − 1.96192v
2
+ 0.942729
−1.14783v
9
+ 3.29565v
8
+ ··· − 3.29565v
2
+ 1.75652
a
3
=
0.0737631v
9
− 0.147526v
8
+ ··· + 5.22189v − 0.331634
0.147826v
9
− 0.295652v
8
+ ··· + 7v − 0.756522
a
2
=
−0.0740630v
9
+ 0.278561v
8
+ ··· + 5.22189v − 0.183808
0.147826v
9
− 0.295652v
8
+ ··· + 7v − 0.756522
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
1259
667
v
9
−
146
29
v
8
+
6397
667
v
7
+
11075
667
v
6
−
16703
667
v
5
−
29857
667
v
4
+
2799
29
v
3
+
18061
667
v
2
−
151
23
v +
990
667
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
(u
2
− u + 1)
5
c
2
(u
2
+ u + 1)
5
c
4
, c
8
u
10
c
6
, c
10
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
c
7
(u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
2
c
9
(u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)
2
c
11
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
c
12
(u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
(y
2
+ y + 1)
5
c
4
, c
8
y
10
c
6
, c
10
, c
12
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y − 1)
2
c
7
, c
11
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
c
9
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 1.38814 + 0.78973I
a = 0
b = 0.339110 + 0.822375I
0.329100 + 0.499304I 3.01153 − 0.88894I
v = 1.38814 − 0.78973I
a = 0
b = 0.339110 − 0.822375I
0.329100 − 0.499304I 3.01153 + 0.88894I
v = −1.37799 + 0.80730I
a = 0
b = 0.339110 + 0.822375I
0.32910 − 3.56046I 3.07628 + 9.77765I
v = −1.37799 − 0.80730I
a = 0
b = 0.339110 − 0.822375I
0.32910 + 3.56046I 3.07628 − 9.77765I
v = −0.294694 + 0.220725I
a = 0
b = −0.455697 − 1.200150I
5.87256 − 6.43072I 6.63163 + 0.01393I
v = −0.294694 − 0.220725I
a = 0
b = −0.455697 + 1.200150I
5.87256 + 6.43072I 6.63163 − 0.01393I
v = 0.338500 + 0.144851I
a = 0
b = −0.455697 − 1.200150I
5.87256 − 2.37095I 3.55752 + 5.27247I
v = 0.338500 − 0.144851I
a = 0
b = −0.455697 + 1.200150I
5.87256 + 2.37095I 3.55752 − 5.27247I
v = 1.44605 + 2.50463I
a = 0
b = −0.766826
2.40108 − 2.02988I 9.72304 − 3.67600I
v = 1.44605 − 2.50463I
a = 0
b = −0.766826
2.40108 + 2.02988I 9.72304 + 3.67600I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
5
)(u
135
+ 64u
134
+ ··· + 158u − 1)
c
2
((u
2
+ u + 1)
5
)(u
135
+ 6u
134
+ ··· − 2u − 1)
c
3
((u
2
− u + 1)
5
)(u
135
− 6u
134
+ ··· + 1.85327 × 10
7
u − 1174793)
c
4
, c
8
u
10
(u
135
− u
134
+ ··· + 5120u − 1024)
c
5
((u
2
− u + 1)
5
)(u
135
+ 6u
134
+ ··· − 2u − 1)
c
6
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
· (u
135
− 3u
134
+ ··· + 17948537u − 2522669)
c
7
((u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
2
)(u
135
+ 3u
134
+ ··· + 12401u − 47809)
c
9
((u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)
2
)(u
135
+ 9u
134
+ ··· + 3u + 1)
c
10
((u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
)(u
135
+ 3u
134
+ ··· + 23u − 1)
c
11
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
)(u
135
− 23u
134
+ ··· + 3u − 1)
c
12
((u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
)(u
135
+ 3u
134
+ ··· + 23u − 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
5
)(y
135
+ 20y
134
+ ··· + 22410y − 1)
c
2
, c
5
((y
2
+ y + 1)
5
)(y
135
+ 64y
134
+ ··· + 158y − 1)
c
3
(y
2
+ y + 1)
5
· (y
135
− 24y
134
+ ··· + 270394515667686y − 1380138592849)
c
4
, c
8
y
10
(y
135
+ 55y
134
+ ··· − 2.41172 × 10
7
y − 1048576)
c
6
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y − 1)
2
· (y
135
+ 85y
134
+ ··· + 285856654348325y − 6363858883561)
c
7
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
· (y
135
+ 149y
134
+ ··· − 218902272299y − 2285700481)
c
9
((y
5
− y
4
+ 8y
3
− 3y
2
+ 3y − 1)
2
)(y
135
− 23y
134
+ ··· + 9y − 1)
c
10
, c
12
((y
5
− 5y
4
+ 8y
3
− 3y
2
− y − 1)
2
)(y
135
− 95y
134
+ ··· − 23y − 1)
c
11
((y
5
+ 3y
4
+ 4y
3
+ y
2
− y − 1)
2
)(y
135
+ 9y
134
+ ··· − 23y − 1)
24
