12a
0434
(K12a
0434
)
A knot diagram
1
Linearized knot diagam
3 6 10 8 2 12 5 11 1 4 7 9
Solving Sequence
5,7 8,11
9 12 1 4 6 10 3 2
c
7
c
8
c
11
c
12
c
4
c
6
c
10
c
3
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h9.71302 × 10
556
u
125
− 6.76323 × 10
557
u
124
+ ··· + 1.54432 × 10
557
b + 9.08091 × 10
559
,
1.44998 × 10
560
u
125
− 9.16910 × 10
559
u
124
+ ··· + 3.22764 × 10
559
a − 3.36668 × 10
562
,
u
126
− 2u
125
+ ··· − 347u − 209i
I
u
2
= h−2.54767 × 10
19
u
28
− 8.03536 × 10
19
u
27
+ ··· + 1.20106 × 10
19
b + 1.25244 × 10
20
,
− 4.39555 × 10
19
u
28
− 1.42315 × 10
20
u
27
+ ··· + 1.20106 × 10
19
a + 2.23950 × 10
20
, u
29
+ 3u
28
+ ··· − 8u + 1i
* 2 irreducible components of dim
C
= 0, with total 155 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
= h9.71 × 10
556
u
125
− 6.76 × 10
557
u
124
+ · · · + 1.54 × 10
557
b + 9.08 ×
10
559
, 1.45 × 10
560
u
125
− 9.17 × 10
559
u
124
+ · · · + 3.23 × 10
559
a − 3.37 ×
10
562
, u
126
− 2u
125
+ · · · − 347u − 209i
(i) Arc colorings
a
5
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
−4.49239u
125
+ 2.84081u
124
+ ··· + 2658.84u + 1043.08
−0.628950u
125
+ 4.37941u
124
+ ··· − 902.391u − 588.019
a
9
=
12.6795u
125
− 29.5835u
124
+ ··· − 675.654u + 926.547
1.46707u
125
− 5.94916u
124
+ ··· + 701.891u + 556.492
a
12
=
−5.12134u
125
+ 7.22022u
124
+ ··· + 1756.45u + 455.061
−0.628950u
125
+ 4.37941u
124
+ ··· − 902.391u − 588.019
a
1
=
13.0154u
125
− 29.2173u
124
+ ··· − 1067.78u + 742.305
1.98155u
125
− 7.75311u
124
+ ··· + 858.066u + 702.323
a
4
=
u
u
3
+ u
a
6
=
−0.520880u
125
+ 3.53209u
124
+ ··· − 707.275u − 448.096
2.95348u
125
− 7.44049u
124
+ ··· − 31.7519u + 284.495
a
10
=
−5.52684u
125
+ 6.83560u
124
+ ··· + 2194.45u + 666.015
−0.327914u
125
+ 3.67582u
124
+ ··· − 914.697u − 562.572
a
3
=
2.41465u
125
− 0.517100u
124
+ ··· − 1699.20u − 736.916
−0.803163u
125
− 0.505149u
124
+ ··· + 735.110u + 358.811
a
2
=
0.624449u
125
− 1.81920u
124
+ ··· + 93.7798u + 108.872
−3.25032u
125
+ 6.88477u
124
+ ··· + 412.972u − 89.4386
(ii) Obstruction class = −1
(iii) Cusp Shapes = −10.7598u
125
+ 12.4868u
124
+ ··· + 4646.15u + 1557.69
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
126
+ 46u
125
+ ··· + 113201u + 1156
c
2
, c
5
u
126
+ 4u
125
+ ··· + 435u − 34
c
3
, c
10
u
126
+ u
125
+ ··· − 43434u + 3284
c
4
, c
7
u
126
− 2u
125
+ ··· − 347u − 209
c
6
, c
11
u
126
− 10u
125
+ ··· − 2573u − 589
c
8
u
126
+ 16u
125
+ ··· − 8670271u − 644753
c
9
, c
12
u
126
− 44u
124
+ ··· + 448775u − 34921
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
126
+ 82y
125
+ ··· − 2963728001y + 1336336
c
2
, c
5
y
126
− 46y
125
+ ··· − 113201y + 1156
c
3
, c
10
y
126
− 85y
125
+ ··· − 747181100y + 10784656
c
4
, c
7
y
126
+ 80y
125
+ ··· − 2175715y + 43681
c
6
, c
11
y
126
+ 40y
125
+ ··· + 4386903y + 346921
c
8
y
126
− 44y
125
+ ··· − 35320777977971y + 415706431009
c
9
, c
12
y
126
− 88y
125
+ ··· + 7738747697y + 1219476241
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.918554 + 0.382892I
a = 0.069082 − 0.707553I
b = 0.716442 − 0.348828I
6.33888 + 7.34118I 0
u = −0.918554 − 0.382892I
a = 0.069082 + 0.707553I
b = 0.716442 + 0.348828I
6.33888 − 7.34118I 0
u = −0.024941 + 0.966430I
a = 4.44092 + 0.33646I
b = −3.96951 − 0.52328I
3.51148 − 2.18628I 0
u = −0.024941 − 0.966430I
a = 4.44092 − 0.33646I
b = −3.96951 + 0.52328I
3.51148 + 2.18628I 0
u = 0.945274 + 0.458726I
a = 0.326155 + 0.330779I
b = 0.333947 + 1.100140I
−4.21417 + 2.72263I 0
u = 0.945274 − 0.458726I
a = 0.326155 − 0.330779I
b = 0.333947 − 1.100140I
−4.21417 − 2.72263I 0
u = 0.057623 + 1.060710I
a = −1.177790 + 0.181081I
b = 0.40022 − 1.49417I
1.74556 − 3.88859I 0
u = 0.057623 − 1.060710I
a = −1.177790 − 0.181081I
b = 0.40022 + 1.49417I
1.74556 + 3.88859I 0
u = 0.078826 + 1.067810I
a = 2.62867 + 0.05998I
b = −0.336959 − 0.797761I
9.49842 − 0.50398I 0
u = 0.078826 − 1.067810I
a = 2.62867 − 0.05998I
b = −0.336959 + 0.797761I
9.49842 + 0.50398I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.040872 + 1.074960I
a = 1.83280 + 1.40801I
b = −0.315733 + 1.092720I
6.20931 − 7.12639I 0
u = 0.040872 − 1.074960I
a = 1.83280 − 1.40801I
b = −0.315733 − 1.092720I
6.20931 + 7.12639I 0
u = 0.879333 + 0.277785I
a = −0.1077040 − 0.0740349I
b = −0.570900 − 1.171590I
−0.74106 + 7.37313I 0
u = 0.879333 − 0.277785I
a = −0.1077040 + 0.0740349I
b = −0.570900 + 1.171590I
−0.74106 − 7.37313I 0
u = 0.024557 + 1.078400I
a = −1.28679 − 0.60675I
b = 0.86022 + 1.45214I
3.25361 − 0.82524I 0
u = 0.024557 − 1.078400I
a = −1.28679 + 0.60675I
b = 0.86022 − 1.45214I
3.25361 + 0.82524I 0
u = −0.907784 + 0.114565I
a = −0.0391522 + 0.0596593I
b = −0.502144 + 1.027850I
0.01352 − 2.04886I 0
u = −0.907784 − 0.114565I
a = −0.0391522 − 0.0596593I
b = −0.502144 − 1.027850I
0.01352 + 2.04886I 0
u = 0.427894 + 0.998851I
a = 1.53351 − 0.34685I
b = −0.217091 + 1.043910I
−3.69560 − 0.52746I 0
u = 0.427894 − 0.998851I
a = 1.53351 + 0.34685I
b = −0.217091 − 1.043910I
−3.69560 + 0.52746I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.865598 + 0.276073I
a = 0.254193 − 0.232814I
b = 0.032276 − 0.962160I
−2.07762 + 1.21796I 0
u = −0.865598 − 0.276073I
a = 0.254193 + 0.232814I
b = 0.032276 + 0.962160I
−2.07762 − 1.21796I 0
u = 0.018444 + 1.092110I
a = −1.44523 − 0.26685I
b = 0.750592 + 0.862940I
3.38500 − 0.51199I 0
u = 0.018444 − 1.092110I
a = −1.44523 + 0.26685I
b = 0.750592 − 0.862940I
3.38500 + 0.51199I 0
u = −0.897663
a = −0.223552
b = 0.882497
1.97369 0
u = 0.436929 + 1.023820I
a = −1.18070 − 1.02393I
b = 0.380839 − 1.050540I
3.26110 − 5.44389I 0
u = 0.436929 − 1.023820I
a = −1.18070 + 1.02393I
b = 0.380839 + 1.050540I
3.26110 + 5.44389I 0
u = 0.030154 + 1.130170I
a = 1.41025 + 1.05759I
b = −1.45272 − 1.42233I
2.69190 + 2.06472I 0
u = 0.030154 − 1.130170I
a = 1.41025 − 1.05759I
b = −1.45272 + 1.42233I
2.69190 − 2.06472I 0
u = −0.074362 + 1.148450I
a = 1.281810 + 0.172701I
b = −1.091870 − 0.434709I
2.46748 + 2.12269I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.074362 − 1.148450I
a = 1.281810 − 0.172701I
b = −1.091870 + 0.434709I
2.46748 − 2.12269I 0
u = −0.270200 + 1.119610I
a = −1.43576 + 0.51539I
b = 0.557561 + 0.875871I
4.85317 + 0.02134I 0
u = −0.270200 − 1.119610I
a = −1.43576 − 0.51539I
b = 0.557561 − 0.875871I
4.85317 − 0.02134I 0
u = 0.299826 + 1.113840I
a = −1.75337 + 0.69339I
b = 0.536150 − 1.212390I
−2.15733 − 5.33583I 0
u = 0.299826 − 1.113840I
a = −1.75337 − 0.69339I
b = 0.536150 + 1.212390I
−2.15733 + 5.33583I 0
u = 0.059383 + 0.842343I
a = −0.53175 − 1.79610I
b = 0.64371 + 1.88764I
3.75527 + 1.43948I 0
u = 0.059383 − 0.842343I
a = −0.53175 + 1.79610I
b = 0.64371 − 1.88764I
3.75527 − 1.43948I 0
u = 1.068340 + 0.445408I
a = 0.134972 − 0.617198I
b = −0.088056 − 1.038540I
−3.35405 − 0.21193I 0
u = 1.068340 − 0.445408I
a = 0.134972 + 0.617198I
b = −0.088056 + 1.038540I
−3.35405 + 0.21193I 0
u = −0.370409 + 0.756256I
a = −0.492177 + 0.837481I
b = −0.007368 − 0.578298I
0.62171 + 3.52461I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.370409 − 0.756256I
a = −0.492177 − 0.837481I
b = −0.007368 + 0.578298I
0.62171 − 3.52461I 0
u = 0.818819 + 0.182554I
a = −0.427977 + 0.955272I
b = 0.383790 + 1.269880I
−2.05594 + 4.51794I 0
u = 0.818819 − 0.182554I
a = −0.427977 − 0.955272I
b = 0.383790 − 1.269880I
−2.05594 − 4.51794I 0
u = −1.158010 + 0.131584I
a = 0.275875 − 0.240365I
b = −0.025466 − 0.740787I
−1.99739 + 0.93723I 0
u = −1.158010 − 0.131584I
a = 0.275875 + 0.240365I
b = −0.025466 + 0.740787I
−1.99739 − 0.93723I 0
u = −0.052207 + 0.820820I
a = 2.28104 − 2.18706I
b = 0.132211 + 0.608185I
5.21795 + 6.93543I 0
u = −0.052207 − 0.820820I
a = 2.28104 + 2.18706I
b = 0.132211 − 0.608185I
5.21795 − 6.93543I 0
u = 0.757865 + 0.922383I
a = 0.737161 + 0.863473I
b = −0.011622 + 0.530837I
8.36257 − 2.29532I 0
u = 0.757865 − 0.922383I
a = 0.737161 − 0.863473I
b = −0.011622 − 0.530837I
8.36257 + 2.29532I 0
u = 0.590430 + 0.544226I
a = 0.192648 + 0.429242I
b = −0.012240 + 1.312970I
−5.22611 − 3.55865I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.590430 − 0.544226I
a = 0.192648 − 0.429242I
b = −0.012240 − 1.312970I
−5.22611 + 3.55865I 0
u = −1.201770 + 0.052543I
a = −0.287487 + 0.311588I
b = 0.501161 + 1.100690I
5.49032 + 6.16296I 0
u = −1.201770 − 0.052543I
a = −0.287487 − 0.311588I
b = 0.501161 − 1.100690I
5.49032 − 6.16296I 0
u = −0.419061 + 1.148040I
a = 1.317360 + 0.098779I
b = −0.577335 − 1.055350I
0.62210 + 3.34775I 0
u = −0.419061 − 1.148040I
a = 1.317360 − 0.098779I
b = −0.577335 + 1.055350I
0.62210 − 3.34775I 0
u = −0.153609 + 0.741021I
a = −0.89518 + 1.24537I
b = −0.045147 − 0.794457I
0.60697 + 3.54106I 0
u = −0.153609 − 0.741021I
a = −0.89518 − 1.24537I
b = −0.045147 + 0.794457I
0.60697 − 3.54106I 0
u = 0.677189 + 0.304420I
a = −0.422325 + 1.017960I
b = 0.630078 + 0.126608I
8.02653 − 1.87252I 0
u = 0.677189 − 0.304420I
a = −0.422325 − 1.017960I
b = 0.630078 − 0.126608I
8.02653 + 1.87252I 0
u = 0.278905 + 0.687966I
a = −2.35007 − 0.61230I
b = −0.151919 − 0.458597I
2.12253 + 1.95328I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.278905 − 0.687966I
a = −2.35007 + 0.61230I
b = −0.151919 + 0.458597I
2.12253 − 1.95328I 0
u = 0.525462 + 1.157170I
a = 1.404100 + 0.035346I
b = −0.569885 + 1.278930I
−1.82249 − 8.06939I 0
u = 0.525462 − 1.157170I
a = 1.404100 − 0.035346I
b = −0.569885 − 1.278930I
−1.82249 + 8.06939I 0
u = 0.505095 + 1.169740I
a = −1.70121 + 0.12319I
b = 0.87422 − 1.28467I
2.03931 − 12.41120I 0
u = 0.505095 − 1.169740I
a = −1.70121 − 0.12319I
b = 0.87422 + 1.28467I
2.03931 + 12.41120I 0
u = 1.279410 + 0.059956I
a = −0.180346 + 0.337985I
b = 0.575025 + 1.131350I
4.03281 + 12.33620I 0
u = 1.279410 − 0.059956I
a = −0.180346 − 0.337985I
b = 0.575025 − 1.131350I
4.03281 − 12.33620I 0
u = 0.438641 + 1.234670I
a = 2.00664 − 0.11759I
b = −0.421715 + 1.238580I
1.25347 − 9.15448I 0
u = 0.438641 − 1.234670I
a = 2.00664 + 0.11759I
b = −0.421715 − 1.238580I
1.25347 + 9.15448I 0
u = −0.469073 + 1.237820I
a = −1.53054 − 0.19269I
b = 0.85367 + 1.14080I
3.50116 + 6.99638I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.469073 − 1.237820I
a = −1.53054 + 0.19269I
b = 0.85367 − 1.14080I
3.50116 − 6.99638I 0
u = −0.155480 + 1.342660I
a = 1.43366 + 1.57515I
b = −0.332080 − 0.878261I
9.26629 + 3.49629I 0
u = −0.155480 − 1.342660I
a = 1.43366 − 1.57515I
b = −0.332080 + 0.878261I
9.26629 − 3.49629I 0
u = 0.556430 + 1.234250I
a = −1.43375 + 0.00783I
b = 0.301267 − 1.014880I
−0.56358 − 5.61803I 0
u = 0.556430 − 1.234250I
a = −1.43375 − 0.00783I
b = 0.301267 + 1.014880I
−0.56358 + 5.61803I 0
u = −0.495869 + 1.259870I
a = 1.189350 − 0.536732I
b = −0.961458 − 0.303118I
5.76407 + 4.92777I 0
u = −0.495869 − 1.259870I
a = 1.189350 + 0.536732I
b = −0.961458 + 0.303118I
5.76407 − 4.92777I 0
u = 0.330966 + 1.326110I
a = 1.302950 + 0.401404I
b = −1.203540 − 0.362403I
12.94500 − 5.58288I 0
u = 0.330966 − 1.326110I
a = 1.302950 − 0.401404I
b = −1.203540 + 0.362403I
12.94500 + 5.58288I 0
u = −0.311911 + 1.352600I
a = −0.020455 + 0.762014I
b = 0.312233 − 0.610569I
4.79275 + 2.31439I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.311911 − 1.352600I
a = −0.020455 − 0.762014I
b = 0.312233 + 0.610569I
4.79275 − 2.31439I 0
u = 0.049951 + 1.390300I
a = −0.547206 − 0.853015I
b = 0.461882 + 0.747891I
5.28642 + 4.15361I 0
u = 0.049951 − 1.390300I
a = −0.547206 + 0.853015I
b = 0.461882 − 0.747891I
5.28642 − 4.15361I 0
u = −0.097617 + 1.390920I
a = −0.22255 − 1.60789I
b = −0.135814 + 0.654518I
8.03746 + 4.83610I 0
u = −0.097617 − 1.390920I
a = −0.22255 + 1.60789I
b = −0.135814 − 0.654518I
8.03746 − 4.83610I 0
u = −0.375691 + 0.464527I
a = −1.28877 − 1.01024I
b = 0.242319 + 1.289270I
3.97037 + 1.67145I 0. − 3.30792I
u = −0.375691 − 0.464527I
a = −1.28877 + 1.01024I
b = 0.242319 − 1.289270I
3.97037 − 1.67145I 0. + 3.30792I
u = −0.363807 + 1.357350I
a = 1.255860 − 0.418469I
b = −1.369510 + 0.301300I
11.6122 + 11.6353I 0
u = −0.363807 − 1.357350I
a = 1.255860 + 0.418469I
b = −1.369510 − 0.301300I
11.6122 − 11.6353I 0
u = −0.538028 + 0.170374I
a = 0.825388 − 0.251543I
b = 0.217151 + 0.042210I
−1.372470 + 0.321947I −6.01687 − 1.10782I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.538028 − 0.170374I
a = 0.825388 + 0.251543I
b = 0.217151 − 0.042210I
−1.372470 − 0.321947I −6.01687 + 1.10782I
u = 0.23960 + 1.41596I
a = −0.996334 − 0.025525I
b = 0.929917 + 0.292310I
7.29399 − 0.75259I 0
u = 0.23960 − 1.41596I
a = −0.996334 + 0.025525I
b = 0.929917 − 0.292310I
7.29399 + 0.75259I 0
u = −0.44072 + 1.37705I
a = −1.211350 − 0.219615I
b = 0.703451 + 0.915085I
3.09554 + 6.13461I 0
u = −0.44072 − 1.37705I
a = −1.211350 + 0.219615I
b = 0.703451 − 0.915085I
3.09554 − 6.13461I 0
u = −0.32458 + 1.42570I
a = −0.984100 + 0.002430I
b = 0.911709 − 0.069142I
7.13063 + 6.47120I 0
u = −0.32458 − 1.42570I
a = −0.984100 − 0.002430I
b = 0.911709 + 0.069142I
7.13063 − 6.47120I 0
u = 0.299469 + 0.409329I
a = −0.196991 − 0.319119I
b = −0.269357 − 1.375150I
−4.52056 + 2.57364I 0.85767 + 9.96111I
u = 0.299469 − 0.409329I
a = −0.196991 + 0.319119I
b = −0.269357 + 1.375150I
−4.52056 − 2.57364I 0.85767 − 9.96111I
u = 0.83092 + 1.24573I
a = 0.814856 + 0.539922I
b = −0.429058 + 0.955563I
9.49764 − 4.23612I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.83092 − 1.24573I
a = 0.814856 − 0.539922I
b = −0.429058 − 0.955563I
9.49764 + 4.23612I 0
u = −0.53958 + 1.40113I
a = 1.47289 + 0.11517I
b = −0.69544 − 1.25690I
10.0867 + 12.2105I 0
u = −0.53958 − 1.40113I
a = 1.47289 − 0.11517I
b = −0.69544 + 1.25690I
10.0867 − 12.2105I 0
u = 1.45883 + 0.38744I
a = 0.017582 − 0.368664I
b = −0.397239 − 0.930564I
−0.08376 + 4.26243I 0
u = 1.45883 − 0.38744I
a = 0.017582 + 0.368664I
b = −0.397239 + 0.930564I
−0.08376 − 4.26243I 0
u = −1.49600 + 0.27134I
a = 0.052662 + 0.318184I
b = −0.376128 + 0.803486I
0.375529 + 0.975196I 0
u = −1.49600 − 0.27134I
a = 0.052662 − 0.318184I
b = −0.376128 − 0.803486I
0.375529 − 0.975196I 0
u = 0.59588 + 1.40014I
a = 1.43633 − 0.02163I
b = −0.73271 + 1.33370I
8.3189 − 18.8404I 0
u = 0.59588 − 1.40014I
a = 1.43633 + 0.02163I
b = −0.73271 − 1.33370I
8.3189 + 18.8404I 0
u = −0.75824 + 1.33102I
a = 0.878477 − 0.468347I
b = −0.638515 − 0.967184I
8.84445 − 0.81180I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.75824 − 1.33102I
a = 0.878477 + 0.468347I
b = −0.638515 + 0.967184I
8.84445 + 0.81180I 0
u = −0.272773 + 0.353512I
a = 0.74308 + 2.29748I
b = 0.606304 − 1.174530I
2.56750 + 3.62198I 1.34821 − 2.97501I
u = −0.272773 − 0.353512I
a = 0.74308 − 2.29748I
b = 0.606304 + 1.174530I
2.56750 − 3.62198I 1.34821 + 2.97501I
u = −0.60135 + 1.46565I
a = −1.101330 − 0.025648I
b = 0.630868 + 1.151840I
4.76654 + 6.36692I 0
u = −0.60135 − 1.46565I
a = −1.101330 + 0.025648I
b = 0.630868 − 1.151840I
4.76654 − 6.36692I 0
u = 0.67865 + 1.43637I
a = −1.116720 − 0.057110I
b = 0.565015 − 1.245900I
3.69754 − 11.80000I 0
u = 0.67865 − 1.43637I
a = −1.116720 + 0.057110I
b = 0.565015 + 1.245900I
3.69754 + 11.80000I 0
u = −0.51750 + 1.55446I
a = 0.280508 − 0.301184I
b = −0.474205 + 0.701344I
10.28270 + 0.47817I 0
u = −0.51750 − 1.55446I
a = 0.280508 + 0.301184I
b = −0.474205 − 0.701344I
10.28270 − 0.47817I 0
u = 0.37770 + 1.61937I
a = 0.394028 + 0.249851I
b = −0.619533 − 0.651264I
9.78181 + 5.75052I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.37770 − 1.61937I
a = 0.394028 − 0.249851I
b = −0.619533 + 0.651264I
9.78181 − 5.75052I 0
u = 0.045137 + 0.326929I
a = 0.49966 − 2.73098I
b = −0.531974 + 0.490781I
1.30986 + 0.59411I 6.78812 + 0.60254I
u = 0.045137 − 0.326929I
a = 0.49966 + 2.73098I
b = −0.531974 − 0.490781I
1.30986 − 0.59411I 6.78812 − 0.60254I
u = −0.138891 + 0.093016I
a = −5.07056 + 4.36281I
b = −0.736783 + 0.050413I
2.26073 + 2.27254I 2.93447 − 3.92634I
u = −0.138891 − 0.093016I
a = −5.07056 − 4.36281I
b = −0.736783 − 0.050413I
2.26073 − 2.27254I 2.93447 + 3.92634I
u = 0.119304
a = 3.49767
b = −0.428944
0.804932 12.5510
17
II.
I
u
2
= h−2.55×10
19
u
28
−8.04×10
19
u
27
+· · ·+1.20×10
19
b+1.25×10
20
, −4.40×
10
19
u
28
−1.42×10
20
u
27
+· · ·+1.20×10
19
a+2.24×10
20
, u
29
+3u
28
+· · ·−8u+1i
(i) Arc colorings
a
5
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
3.65972u
28
+ 11.8491u
27
+ ··· + 58.2904u − 18.6460
2.12119u
28
+ 6.69021u
27
+ ··· + 31.6633u − 10.4278
a
9
=
−0.692241u
28
− 2.07788u
27
+ ··· − 4.55807u + 5.92518
0.757298u
28
+ 2.42089u
27
+ ··· + 13.8941u − 2.75072
a
12
=
5.78090u
28
+ 18.5393u
27
+ ··· + 89.9537u − 29.0738
2.12119u
28
+ 6.69021u
27
+ ··· + 31.6633u − 10.4278
a
1
=
0.0880395u
28
+ 0.392441u
27
+ ··· + 9.27866u + 1.35211
0.757154u
28
+ 2.41010u
27
+ ··· + 13.6576u − 2.55354
a
4
=
u
u
3
+ u
a
6
=
−0.256852u
28
− 0.948162u
27
+ ··· − 7.93820u − 2.14935
−0.480128u
28
− 1.80859u
27
+ ··· − 12.5926u + 2.56013
a
10
=
3.84977u
28
+ 12.3322u
27
+ ··· + 60.2647u − 19.1157
2.26943u
28
+ 7.17428u
27
+ ··· + 32.7513u − 10.8105
a
3
=
−0.925559u
28
− 2.73069u
27
+ ··· − 13.5616u + 5.12547
−0.328548u
28
− 1.48025u
27
+ ··· + 2.54750u + 0.957574
a
2
=
−0.406996u
28
− 1.00081u
27
+ ··· + 0.498985u + 4.90687
−0.351073u
28
− 1.38763u
27
+ ··· + 17.0925u − 2.38615
(ii) Obstruction class = 1
(iii) Cusp Shapes =
178125843860361583741
12010613790385279591
u
28
+
554229173555532494534
12010613790385279591
u
27
+ ··· +
2724744148645829240045
12010613790385279591
u −
843102347053851211534
12010613790385279591
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
29
− 13u
28
+ ··· + 16u − 1
c
2
u
29
+ 3u
28
+ ··· − 4u − 1
c
3
u
29
+ 6u
26
+ ··· + 2u − 1
c
4
u
29
− 3u
28
+ ··· − 8u − 1
c
5
u
29
− 3u
28
+ ··· − 4u + 1
c
6
u
29
− 9u
28
+ ··· + 6u + 1
c
7
u
29
+ 3u
28
+ ··· − 8u + 1
c
8
u
29
+ 3u
28
+ ··· + 22u + 1
c
9
u
29
− 7u
28
+ ··· − 4u + 1
c
10
u
29
− 6u
26
+ ··· + 2u + 1
c
11
u
29
+ 9u
28
+ ··· + 6u − 1
c
12
u
29
+ 7u
28
+ ··· − 4u − 1
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
+ 19y
28
+ ··· − 32y −1
c
2
, c
5
y
29
− 13y
28
+ ··· + 16y −1
c
3
, c
10
y
29
− 82y
27
+ ··· + 20y −1
c
4
, c
7
y
29
+ 13y
28
+ ··· + 50y −1
c
6
, c
11
y
29
− 7y
28
+ ··· − 4y −1
c
8
y
29
− 7y
28
+ ··· + 30y −1
c
9
, c
12
y
29
− 15y
28
+ ··· + 6y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.989390 + 0.299698I
a = −0.025024 − 0.664688I
b = −0.334712 − 1.058650I
−3.22522 + 2.71391I 1.47853 − 3.22285I
u = 0.989390 − 0.299698I
a = −0.025024 + 0.664688I
b = −0.334712 + 1.058650I
−3.22522 − 2.71391I 1.47853 + 3.22285I
u = −0.028343 + 0.945821I
a = −3.29296 + 0.23137I
b = 2.48827 − 0.04734I
3.61853 − 2.20839I 21.0931 + 1.2981I
u = −0.028343 − 0.945821I
a = −3.29296 − 0.23137I
b = 2.48827 + 0.04734I
3.61853 + 2.20839I 21.0931 − 1.2981I
u = 0.922510 + 0.166298I
a = 0.855762 + 0.367010I
b = 0.174156 + 1.080320I
−1.25822 + 3.12297I −0.29143 − 2.67047I
u = 0.922510 − 0.166298I
a = 0.855762 − 0.367010I
b = 0.174156 − 1.080320I
−1.25822 − 3.12297I −0.29143 + 2.67047I
u = −0.051743 + 1.078020I
a = −2.46201 + 0.23759I
b = 2.33399 − 0.03201I
2.89048 + 1.77769I 24.2405 − 5.5862I
u = −0.051743 − 1.078020I
a = −2.46201 − 0.23759I
b = 2.33399 + 0.03201I
2.89048 − 1.77769I 24.2405 + 5.5862I
u = 0.382500 + 0.781101I
a = 1.70492 + 2.38388I
b = −0.294933 + 0.927904I
4.63906 − 7.77018I 2.80322 + 9.30198I
u = 0.382500 − 0.781101I
a = 1.70492 − 2.38388I
b = −0.294933 − 0.927904I
4.63906 + 7.77018I 2.80322 − 9.30198I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.133760 + 0.173273I
a = 0.529302 − 0.164104I
b = 0.162508 − 0.862481I
−0.43221 + 1.75663I 0.65513 − 3.87002I
u = −1.133760 − 0.173273I
a = 0.529302 + 0.164104I
b = 0.162508 + 0.862481I
−0.43221 − 1.75663I 0.65513 + 3.87002I
u = −0.731815 + 1.010840I
a = 0.845882 − 0.884048I
b = −0.303128 − 0.642758I
8.35750 + 2.79074I 5.73183 − 8.68065I
u = −0.731815 − 1.010840I
a = 0.845882 + 0.884048I
b = −0.303128 + 0.642758I
8.35750 − 2.79074I 5.73183 + 8.68065I
u = −0.168352 + 1.242060I
a = −0.0698392 + 0.0097782I
b = −0.365018 + 0.031356I
4.92175 + 3.01470I 5.96326 − 4.71590I
u = −0.168352 − 1.242060I
a = −0.0698392 − 0.0097782I
b = −0.365018 − 0.031356I
4.92175 − 3.01470I 5.96326 + 4.71590I
u = −1.238250 + 0.243114I
a = 0.108639 + 0.293679I
b = −0.208142 + 0.711251I
−1.74429 + 0.23639I 3.35622 + 2.18818I
u = −1.238250 − 0.243114I
a = 0.108639 − 0.293679I
b = −0.208142 − 0.711251I
−1.74429 − 0.23639I 3.35622 − 2.18818I
u = 0.451257 + 1.235060I
a = −1.69121 + 0.03870I
b = 0.506722 − 1.187020I
0.00773 − 7.72786I 3.05433 + 6.29121I
u = 0.451257 − 1.235060I
a = −1.69121 − 0.03870I
b = 0.506722 + 1.187020I
0.00773 + 7.72786I 3.05433 − 6.29121I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.389867 + 1.275870I
a = 1.48632 + 0.34942I
b = −0.072248 − 0.702705I
9.24746 + 2.11983I 7.90286 − 1.80386I
u = −0.389867 − 1.275870I
a = 1.48632 − 0.34942I
b = −0.072248 + 0.702705I
9.24746 − 2.11983I 7.90286 + 1.80386I
u = 0.02529 + 1.44052I
a = 0.08475 − 1.44923I
b = 0.162063 + 0.730385I
7.83096 + 5.59239I 6.20850 − 8.26918I
u = 0.02529 − 1.44052I
a = 0.08475 + 1.44923I
b = 0.162063 − 0.730385I
7.83096 − 5.59239I 6.20850 + 8.26918I
u = −0.48630 + 1.39391I
a = −1.142240 − 0.094252I
b = 0.777530 + 0.891154I
2.62700 + 5.87075I −2.36163 − 3.50141I
u = −0.48630 − 1.39391I
a = −1.142240 + 0.094252I
b = 0.777530 − 0.891154I
2.62700 − 5.87075I −2.36163 + 3.50141I
u = −0.480454
a = −0.161795
b = −0.631026
−0.190931 0.949670
u = 0.197709 + 0.016958I
a = 0.64861 + 2.52493I
b = −0.211546 + 1.324180I
−4.48638 − 2.96588I 2.19081 + 9.30835I
u = 0.197709 − 0.016958I
a = 0.64861 − 2.52493I
b = −0.211546 − 1.324180I
−4.48638 + 2.96588I 2.19081 − 9.30835I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
29
− 13u
28
+ ··· + 16u − 1)(u
126
+ 46u
125
+ ··· + 113201u + 1156)
c
2
(u
29
+ 3u
28
+ ··· − 4u − 1)(u
126
+ 4u
125
+ ··· + 435u − 34)
c
3
(u
29
+ 6u
26
+ ··· + 2u − 1)(u
126
+ u
125
+ ··· − 43434u + 3284)
c
4
(u
29
− 3u
28
+ ··· − 8u − 1)(u
126
− 2u
125
+ ··· − 347u − 209)
c
5
(u
29
− 3u
28
+ ··· − 4u + 1)(u
126
+ 4u
125
+ ··· + 435u − 34)
c
6
(u
29
− 9u
28
+ ··· + 6u + 1)(u
126
− 10u
125
+ ··· − 2573u − 589)
c
7
(u
29
+ 3u
28
+ ··· − 8u + 1)(u
126
− 2u
125
+ ··· − 347u − 209)
c
8
(u
29
+ 3u
28
+ ··· + 22u + 1)
· (u
126
+ 16u
125
+ ··· − 8670271u − 644753)
c
9
(u
29
− 7u
28
+ ··· − 4u + 1)(u
126
− 44u
124
+ ··· + 448775u − 34921)
c
10
(u
29
− 6u
26
+ ··· + 2u + 1)(u
126
+ u
125
+ ··· − 43434u + 3284)
c
11
(u
29
+ 9u
28
+ ··· + 6u − 1)(u
126
− 10u
125
+ ··· − 2573u − 589)
c
12
(u
29
+ 7u
28
+ ··· − 4u − 1)(u
126
− 44u
124
+ ··· + 448775u − 34921)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
29
+ 19y
28
+ ··· − 32y −1)
· (y
126
+ 82y
125
+ ··· − 2963728001y + 1336336)
c
2
, c
5
(y
29
− 13y
28
+ ··· + 16y −1)(y
126
− 46y
125
+ ··· − 113201y + 1156)
c
3
, c
10
(y
29
− 82y
27
+ ··· + 20y −1)
· (y
126
− 85y
125
+ ··· − 747181100y + 10784656)
c
4
, c
7
(y
29
+ 13y
28
+ ··· + 50y −1)
· (y
126
+ 80y
125
+ ··· − 2175715y + 43681)
c
6
, c
11
(y
29
− 7y
28
+ ··· − 4y −1)(y
126
+ 40y
125
+ ··· + 4386903y + 346921)
c
8
(y
29
− 7y
28
+ ··· + 30y −1)
· (y
126
− 44y
125
+ ··· − 35320777977971y + 415706431009)
c
9
, c
12
(y
29
− 15y
28
+ ··· + 6y −1)
· (y
126
− 88y
125
+ ··· + 7738747697y + 1219476241)
27
