12a
1061
(K12a
1061
)
A knot diagram
1
Linearized knot diagam
4 7 9 12 2 10 11 1 6 3 5 8
Solving Sequence
8,12
1
5,9
4 2 6 3 11 7 10
c
12
c
8
c
4
c
1
c
5
c
3
c
11
c
7
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.43650 × 10
1121
u
176
+ 7.56229 × 10
1121
u
175
+ ··· + 7.16415 × 10
1120
b − 1.78638 × 10
1125
,
1.87678 × 10
1125
u
176
− 4.17003 × 10
1125
u
175
+ ··· + 3.00966 × 10
1124
a + 1.00424 × 10
1129
,
u
177
− 3u
176
+ ··· + 99313u − 4201i
I
u
2
= h1.31741 × 10
47
u
40
− 3.05294 × 10
47
u
39
+ ··· + 3.87165 × 10
46
b − 2.49858 × 10
47
,
1.95215 × 10
46
u
40
− 6.23390 × 10
46
u
39
+ ··· + 3.87165 × 10
46
a − 1.19738 × 10
47
, u
41
− 3u
40
+ ··· − 7u + 1i
I
u
3
= hb − 1, a, u + 1i
I
u
4
= hb + a + 2, a
2
+ 3a + 3, u + 1i
* 4 irreducible components of dim
C
= 0, with total 221 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−3.44 × 10
1121
u
176
+ 7.56 × 10
1121
u
175
+ · · · + 7.16 × 10
1120
b −
1.79 × 10
1125
, 1.88 × 10
1125
u
176
− 4.17 × 10
1125
u
175
+ · · · + 3.01 × 10
1124
a +
1.00 × 10
1129
, u
177
− 3u
176
+ · · · + 99313u − 4201i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−6.23586u
176
+ 13.8555u
175
+ ··· + 746239.u − 33367.2
4.79679u
176
− 10.5557u
175
+ ··· − 558500.u + 24935.0
a
9
=
−u
−u
3
+ u
a
4
=
−1.43906u
176
+ 3.29974u
175
+ ··· + 187738.u − 8432.18
4.79679u
176
− 10.5557u
175
+ ··· − 558500.u + 24935.0
a
2
=
7.39483u
176
− 16.3425u
175
+ ··· − 883940.u + 39499.8
5.95064u
176
− 12.5957u
175
+ ··· − 634341.u + 28159.7
a
6
=
−3.66260u
176
+ 7.48021u
175
+ ··· + 351755.u − 15523.3
2.55481u
176
− 5.37588u
175
+ ··· − 263974.u + 11698.7
a
3
=
−4.07792u
176
+ 9.10767u
175
+ ··· + 494085.u − 22108.6
5.74228u
176
− 12.6241u
175
+ ··· − 666518.u + 29753.1
a
11
=
4.74044u
176
− 9.94666u
175
+ ··· − 492414.u + 21828.5
−8.52570u
176
+ 18.2057u
175
+ ··· + 925988.u − 41169.2
a
7
=
1.33544u
176
− 2.95521u
175
+ ··· − 152453.u + 6810.67
4.62485u
176
− 9.86075u
175
+ ··· − 502238.u + 22311.0
a
10
=
2.03076u
176
− 3.92794u
175
+ ··· − 167606.u + 7302.95
−4.32743u
176
+ 9.10927u
175
+ ··· + 454536.u − 20152.1
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.576507u
176
− 1.54492u
175
+ ··· − 73177.9u + 3324.73
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
177
+ 12u
176
+ ··· + 594886u − 71806
c
2
u
177
− 2u
176
+ ··· − 307u + 29
c
3
u
177
− u
176
+ ··· + 20299788u − 41864904
c
4
, c
11
u
177
+ 57u
175
+ ··· − 3987u − 577
c
5
u
177
− 3u
176
+ ··· + 571133u + 16391
c
6
, c
9
u
177
+ u
176
+ ··· − 4688u − 248
c
7
u
177
+ 5u
176
+ ··· + 575187597u + 140105457
c
8
, c
12
u
177
− 3u
176
+ ··· + 99313u − 4201
c
10
u
177
+ 3u
176
+ ··· − 2447u + 211
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
177
− 24y
176
+ ··· + 59480875472y −5156101636
c
2
y
177
+ 14y
176
+ ··· + 22677y −841
c
3
y
177
+ 93y
176
+ ··· − 69206595705210672y −1752670186929216
c
4
, c
11
y
177
+ 114y
176
+ ··· − 9098317y −332929
c
5
y
177
+ 5y
176
+ ··· − 252864312125y −268664881
c
6
, c
9
y
177
− 107y
176
+ ··· + 3350560y −61504
c
7
y
177
− 71y
176
+ ··· + 1502416853582876793y −19629539081178849
c
8
, c
12
y
177
− 109y
176
+ ··· + 3935864265y −17648401
c
10
y
177
+ 13y
176
+ ··· + 3237213y −44521
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.391552 + 0.918289I
a = −0.02443 − 1.43307I
b = 0.311790 + 1.248170I
3.99925 − 5.25642I 0
u = 0.391552 − 0.918289I
a = −0.02443 + 1.43307I
b = 0.311790 − 1.248170I
3.99925 + 5.25642I 0
u = −1.012290 + 0.102932I
a = 1.28657 + 2.53369I
b = 0.283305 − 1.151170I
−2.77341 + 4.32190I 0
u = −1.012290 − 0.102932I
a = 1.28657 − 2.53369I
b = 0.283305 + 1.151170I
−2.77341 − 4.32190I 0
u = −1.005330 + 0.205847I
a = 0.594212 + 0.562437I
b = 1.15485 − 1.02978I
−2.46905 + 1.67974I 0
u = −1.005330 − 0.205847I
a = 0.594212 − 0.562437I
b = 1.15485 + 1.02978I
−2.46905 − 1.67974I 0
u = −0.357186 + 0.902669I
a = 0.01351 + 1.56060I
b = −0.097222 − 1.287070I
9.03240 + 3.28339I 0
u = −0.357186 − 0.902669I
a = 0.01351 − 1.56060I
b = −0.097222 + 1.287070I
9.03240 − 3.28339I 0
u = 1.009020 + 0.221811I
a = −1.002600 − 0.124917I
b = −0.491454 − 1.138300I
4.31608 − 4.96383I 0
u = 1.009020 − 0.221811I
a = −1.002600 + 0.124917I
b = −0.491454 + 1.138300I
4.31608 + 4.96383I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.954921 + 0.131917I
a = −0.165525 + 0.847085I
b = 0.15331 − 1.99846I
3.09098 − 7.15631I 0
u = 0.954921 − 0.131917I
a = −0.165525 − 0.847085I
b = 0.15331 + 1.99846I
3.09098 + 7.15631I 0
u = −0.601828 + 0.848506I
a = −0.474569 − 0.879284I
b = 0.546943 + 1.187910I
5.13827 − 6.39341I 0
u = −0.601828 − 0.848506I
a = −0.474569 + 0.879284I
b = 0.546943 − 1.187910I
5.13827 + 6.39341I 0
u = −0.940544 + 0.156825I
a = −0.841523 − 0.353184I
b = 0.10065 + 2.46271I
−0.014440 + 0.601529I 0
u = −0.940544 − 0.156825I
a = −0.841523 + 0.353184I
b = 0.10065 − 2.46271I
−0.014440 − 0.601529I 0
u = −1.047200 + 0.040846I
a = −1.32597 + 0.71142I
b = −0.583943 − 0.997112I
−2.69528 − 1.02232I 0
u = −1.047200 − 0.040846I
a = −1.32597 − 0.71142I
b = −0.583943 + 0.997112I
−2.69528 + 1.02232I 0
u = −0.947260 + 0.087408I
a = −0.657882 − 1.027030I
b = −0.17504 + 1.71746I
−0.310754 + 0.951044I 0
u = −0.947260 − 0.087408I
a = −0.657882 + 1.027030I
b = −0.17504 − 1.71746I
−0.310754 − 0.951044I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.946237 + 0.090615I
a = −1.61285 − 0.57839I
b = −0.647048 + 0.811473I
−2.16420 − 1.16727I 0
u = 0.946237 − 0.090615I
a = −1.61285 + 0.57839I
b = −0.647048 − 0.811473I
−2.16420 + 1.16727I 0
u = 0.945673 + 0.457721I
a = −1.58538 + 1.27224I
b = −0.102125 − 0.727054I
−2.33271 − 1.50229I 0
u = 0.945673 − 0.457721I
a = −1.58538 − 1.27224I
b = −0.102125 + 0.727054I
−2.33271 + 1.50229I 0
u = −0.915295 + 0.098878I
a = −1.168990 − 0.165690I
b = −0.314651 + 1.249200I
−0.273272 + 0.052849I 0
u = −0.915295 − 0.098878I
a = −1.168990 + 0.165690I
b = −0.314651 − 1.249200I
−0.273272 − 0.052849I 0
u = −0.353857 + 1.019980I
a = −0.18650 − 1.57502I
b = 0.319256 + 0.686065I
−0.221550 − 1.267490I 0
u = −0.353857 − 1.019980I
a = −0.18650 + 1.57502I
b = 0.319256 − 0.686065I
−0.221550 + 1.267490I 0
u = 0.531566 + 0.747089I
a = 0.87660 − 1.28314I
b = −0.123206 + 1.042790I
3.34181 + 0.08527I 0
u = 0.531566 − 0.747089I
a = 0.87660 + 1.28314I
b = −0.123206 − 1.042790I
3.34181 − 0.08527I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.09324
a = 0.220975
b = 0.820855
−2.10948 0
u = 1.086460 + 0.145851I
a = −1.44175 + 1.27828I
b = −0.368075 − 0.833229I
−3.80034 − 1.23674I 0
u = 1.086460 − 0.145851I
a = −1.44175 − 1.27828I
b = −0.368075 + 0.833229I
−3.80034 + 1.23674I 0
u = −0.908512 + 0.619518I
a = 0.51159 + 1.40686I
b = 0.472021 − 1.307320I
2.51715 + 5.30103I 0
u = −0.908512 − 0.619518I
a = 0.51159 − 1.40686I
b = 0.472021 + 1.307320I
2.51715 − 5.30103I 0
u = 0.734045 + 0.520091I
a = 0.900884 − 0.967272I
b = 0.831074 + 0.426101I
2.50002 + 1.14829I 0
u = 0.734045 − 0.520091I
a = 0.900884 + 0.967272I
b = 0.831074 − 0.426101I
2.50002 − 1.14829I 0
u = 1.094880 + 0.127112I
a = 1.64009 − 1.96992I
b = 0.363366 + 1.097080I
−0.84195 − 9.84986I 0
u = 1.094880 − 0.127112I
a = 1.64009 + 1.96992I
b = 0.363366 − 1.097080I
−0.84195 + 9.84986I 0
u = 0.376374 + 0.794396I
a = 0.42046 − 1.90181I
b = −0.246271 + 1.212780I
3.77458 + 0.22570I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.376374 − 0.794396I
a = 0.42046 + 1.90181I
b = −0.246271 − 1.212780I
3.77458 − 0.22570I 0
u = 0.757057 + 0.439147I
a = −0.303022 − 0.744920I
b = −0.021061 + 0.962905I
2.31246 − 4.69016I 0
u = 0.757057 − 0.439147I
a = −0.303022 + 0.744920I
b = −0.021061 − 0.962905I
2.31246 + 4.69016I 0
u = −0.301218 + 0.821230I
a = 0.798874 + 0.911540I
b = −0.668001 − 0.228977I
−3.41573 + 3.86998I 0
u = −0.301218 − 0.821230I
a = 0.798874 − 0.911540I
b = −0.668001 + 0.228977I
−3.41573 − 3.86998I 0
u = 1.062430 + 0.374783I
a = −1.018740 + 0.955399I
b = −0.83890 − 1.26580I
−0.99687 − 7.87321I 0
u = 1.062430 − 0.374783I
a = −1.018740 − 0.955399I
b = −0.83890 + 1.26580I
−0.99687 + 7.87321I 0
u = −1.128480 + 0.004016I
a = −1.24252 − 1.11842I
b = −0.347344 + 0.876242I
−3.05337 − 2.03135I 0
u = −1.128480 − 0.004016I
a = −1.24252 + 1.11842I
b = −0.347344 − 0.876242I
−3.05337 + 2.03135I 0
u = 0.855379
a = −0.0787454
b = 1.05081
−1.76038 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.528790 + 1.018590I
a = 0.675767 + 1.062200I
b = −0.125160 − 1.163730I
3.75788 + 0.64628I 0
u = −0.528790 − 1.018590I
a = 0.675767 − 1.062200I
b = −0.125160 + 1.163730I
3.75788 − 0.64628I 0
u = 0.246315 + 1.127760I
a = −0.231005 + 1.156490I
b = 0.478466 − 1.045810I
1.36757 + 5.18436I 0
u = 0.246315 − 1.127760I
a = −0.231005 − 1.156490I
b = 0.478466 + 1.045810I
1.36757 − 5.18436I 0
u = −1.002010 + 0.588485I
a = −0.95049 − 1.14708I
b = −0.82139 + 1.16510I
3.83121 + 11.73540I 0
u = −1.002010 − 0.588485I
a = −0.95049 + 1.14708I
b = −0.82139 − 1.16510I
3.83121 − 11.73540I 0
u = 0.836072 + 0.055491I
a = 0.06630 + 1.54620I
b = 0.26188 − 1.54214I
5.30380 + 3.62693I 0
u = 0.836072 − 0.055491I
a = 0.06630 − 1.54620I
b = 0.26188 + 1.54214I
5.30380 − 3.62693I 0
u = 0.236989 + 0.801613I
a = 0.679542 − 0.281396I
b = −0.737005 + 0.266318I
1.15113 + 3.41241I 0
u = 0.236989 − 0.801613I
a = 0.679542 + 0.281396I
b = −0.737005 − 0.266318I
1.15113 − 3.41241I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.084080 + 0.447020I
a = 0.97770 − 1.26705I
b = 0.458533 + 1.204500I
1.43428 − 4.53147I 0
u = 1.084080 − 0.447020I
a = 0.97770 + 1.26705I
b = 0.458533 − 1.204500I
1.43428 + 4.53147I 0
u = −0.823083 + 0.082071I
a = 2.46000 − 0.71621I
b = −0.097261 − 0.714128I
−2.17701 − 3.32276I 0
u = −0.823083 − 0.082071I
a = 2.46000 + 0.71621I
b = −0.097261 + 0.714128I
−2.17701 + 3.32276I 0
u = 0.619532 + 0.532278I
a = 1.40729 − 1.05444I
b = −0.103957 + 0.860539I
3.26068 + 0.10586I 0
u = 0.619532 − 0.532278I
a = 1.40729 + 1.05444I
b = −0.103957 − 0.860539I
3.26068 − 0.10586I 0
u = 0.235191 + 0.767589I
a = 0.663443 − 1.134910I
b = −0.672235 + 0.108136I
0.22989 − 9.90375I 0
u = 0.235191 − 0.767589I
a = 0.663443 + 1.134910I
b = −0.672235 − 0.108136I
0.22989 + 9.90375I 0
u = −0.094807 + 1.196770I
a = 0.54562 − 1.40762I
b = −0.270772 + 1.077630I
5.17093 + 1.54430I 0
u = −0.094807 − 1.196770I
a = 0.54562 + 1.40762I
b = −0.270772 − 1.077630I
5.17093 − 1.54430I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.758171 + 0.196350I
a = −1.001890 − 0.051419I
b = −0.52968 − 1.33624I
3.43079 + 5.49485I 0
u = 0.758171 − 0.196350I
a = −1.001890 + 0.051419I
b = −0.52968 + 1.33624I
3.43079 − 5.49485I 0
u = −0.139158 + 1.211960I
a = 0.39126 + 1.50443I
b = −0.501028 − 1.155610I
−0.69121 − 8.40329I 0
u = −0.139158 − 1.211960I
a = 0.39126 − 1.50443I
b = −0.501028 + 1.155610I
−0.69121 + 8.40329I 0
u = −1.211060 + 0.170569I
a = −0.242241 + 0.041438I
b = −1.40337 − 0.27601I
−5.49092 + 1.00302I 0
u = −1.211060 − 0.170569I
a = −0.242241 − 0.041438I
b = −1.40337 + 0.27601I
−5.49092 − 1.00302I 0
u = 0.775060 + 0.053357I
a = 2.95172 − 0.60530I
b = −0.044043 − 0.639776I
0.61289 − 9.15609I 0
u = 0.775060 − 0.053357I
a = 2.95172 + 0.60530I
b = −0.044043 + 0.639776I
0.61289 + 9.15609I 0
u = 1.145010 + 0.455939I
a = 1.37527 − 1.22765I
b = 0.392644 + 1.231740I
1.30786 − 4.87319I 0
u = 1.145010 − 0.455939I
a = 1.37527 + 1.22765I
b = 0.392644 − 1.231740I
1.30786 + 4.87319I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.274998 + 0.714815I
a = −0.24924 + 2.24897I
b = −0.229992 − 1.328320I
6.25952 − 6.72620I 0
u = −0.274998 − 0.714815I
a = −0.24924 − 2.24897I
b = −0.229992 + 1.328320I
6.25952 + 6.72620I 0
u = −1.225960 + 0.288342I
a = −0.192662 − 0.093947I
b = 1.166860 + 0.459301I
−1.56928 + 1.41784I 0
u = −1.225960 − 0.288342I
a = −0.192662 + 0.093947I
b = 1.166860 − 0.459301I
−1.56928 − 1.41784I 0
u = −1.187910 + 0.424934I
a = 1.68999 + 0.79683I
b = 0.336471 − 1.178650I
3.39460 + 11.05100I 0
u = −1.187910 − 0.424934I
a = 1.68999 − 0.79683I
b = 0.336471 + 1.178650I
3.39460 − 11.05100I 0
u = 0.182314 + 0.714742I
a = −0.58197 + 1.32586I
b = 0.447162 − 1.173780I
1.59912 + 4.11982I 0
u = 0.182314 − 0.714742I
a = −0.58197 − 1.32586I
b = 0.447162 + 1.173780I
1.59912 − 4.11982I 0
u = 1.232390 + 0.278106I
a = 0.410103 − 0.833928I
b = 0.70988 + 1.33585I
0.29249 − 6.31462I 0
u = 1.232390 − 0.278106I
a = 0.410103 + 0.833928I
b = 0.70988 − 1.33585I
0.29249 + 6.31462I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.098370 + 0.627505I
a = −0.66043 + 1.76322I
b = −0.347388 − 1.026310I
−2.97291 − 2.92847I 0
u = 1.098370 − 0.627505I
a = −0.66043 − 1.76322I
b = −0.347388 + 1.026310I
−2.97291 + 2.92847I 0
u = −0.124925 + 0.722095I
a = 0.70437 + 1.70376I
b = 0.572944 − 0.399539I
−0.517939 − 0.978819I 0
u = −0.124925 − 0.722095I
a = 0.70437 − 1.70376I
b = 0.572944 + 0.399539I
−0.517939 + 0.978819I 0
u = 0.543119 + 0.490315I
a = 0.246827 + 0.177103I
b = −0.702628 + 0.738329I
2.87974 − 5.20445I 0
u = 0.543119 − 0.490315I
a = 0.246827 − 0.177103I
b = −0.702628 − 0.738329I
2.87974 + 5.20445I 0
u = −1.152640 + 0.540968I
a = 1.137750 + 0.807895I
b = 0.370179 − 1.155300I
6.49684 + 1.93738I 0
u = −1.152640 − 0.540968I
a = 1.137750 − 0.807895I
b = 0.370179 + 1.155300I
6.49684 − 1.93738I 0
u = 0.107306 + 1.271460I
a = 0.32723 − 1.42891I
b = −0.492004 + 1.182390I
3.2933 + 14.3973I 0
u = 0.107306 − 1.271460I
a = 0.32723 + 1.42891I
b = −0.492004 − 1.182390I
3.2933 − 14.3973I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.252820 + 0.316784I
a = 0.076789 + 0.527867I
b = 1.132240 − 0.170850I
−3.46425 + 0.33068I 0
u = −1.252820 − 0.316784I
a = 0.076789 − 0.527867I
b = 1.132240 + 0.170850I
−3.46425 − 0.33068I 0
u = 0.355755 + 1.243510I
a = 0.70116 − 1.34099I
b = −0.514190 + 1.026670I
4.63769 + 2.06605I 0
u = 0.355755 − 1.243510I
a = 0.70116 + 1.34099I
b = −0.514190 − 1.026670I
4.63769 − 2.06605I 0
u = −0.182168 + 1.287970I
a = −0.177013 − 1.253200I
b = 0.363450 + 0.949948I
0.60719 − 1.85923I 0
u = −0.182168 − 1.287970I
a = −0.177013 + 1.253200I
b = 0.363450 − 0.949948I
0.60719 + 1.85923I 0
u = 0.497777 + 0.490191I
a = 1.48662 − 0.50289I
b = −0.057522 + 0.179889I
2.94812 + 0.70661I 0
u = 0.497777 − 0.490191I
a = 1.48662 + 0.50289I
b = −0.057522 − 0.179889I
2.94812 − 0.70661I 0
u = −1.227350 + 0.443081I
a = −0.146778 + 0.083924I
b = −0.973424 − 0.570582I
−3.91843 + 5.40607I 0
u = −1.227350 − 0.443081I
a = −0.146778 − 0.083924I
b = −0.973424 + 0.570582I
−3.91843 − 5.40607I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.164530 + 0.620582I
a = 0.400114 − 1.153230I
b = 0.789888 + 0.673648I
−1.37204 − 8.61618I 0
u = 1.164530 − 0.620582I
a = 0.400114 + 1.153230I
b = 0.789888 − 0.673648I
−1.37204 + 8.61618I 0
u = 1.318740 + 0.133547I
a = −0.610613 − 0.953253I
b = −0.021525 − 0.649875I
−5.19688 − 2.57234I 0
u = 1.318740 − 0.133547I
a = −0.610613 + 0.953253I
b = −0.021525 + 0.649875I
−5.19688 + 2.57234I 0
u = 1.322550 + 0.228120I
a = −0.275131 − 0.104075I
b = −1.113780 + 0.027037I
−5.73521 − 4.13201I 0
u = 1.322550 − 0.228120I
a = −0.275131 + 0.104075I
b = −1.113780 − 0.027037I
−5.73521 + 4.13201I 0
u = 1.292340 + 0.369099I
a = −0.038874 − 0.199794I
b = 1.306490 − 0.210271I
−8.11844 − 7.90462I 0
u = 1.292340 − 0.369099I
a = −0.038874 + 0.199794I
b = 1.306490 + 0.210271I
−8.11844 + 7.90462I 0
u = −1.289770 + 0.401924I
a = −0.000596 + 0.154801I
b = 1.298980 + 0.239200I
−4.2028 + 14.0904I 0
u = −1.289770 − 0.401924I
a = −0.000596 − 0.154801I
b = 1.298980 − 0.239200I
−4.2028 − 14.0904I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.331190 + 0.231099I
a = −0.436919 + 0.260861I
b = −0.664267 + 0.489664I
−2.92537 + 6.19540I 0
u = −1.331190 − 0.231099I
a = −0.436919 − 0.260861I
b = −0.664267 − 0.489664I
−2.92537 − 6.19540I 0
u = −0.646961
a = −2.52113
b = −1.02651
1.39617 0
u = −1.362610 + 0.029040I
a = −0.401319 + 0.341758I
b = −0.323128 + 0.796792I
−3.98636 + 1.89468I 0
u = −1.362610 − 0.029040I
a = −0.401319 − 0.341758I
b = −0.323128 − 0.796792I
−3.98636 − 1.89468I 0
u = 1.332320 + 0.417410I
a = −0.781880 + 0.904937I
b = −0.72106 − 1.29014I
−2.30386 − 8.15382I 0
u = 1.332320 − 0.417410I
a = −0.781880 − 0.904937I
b = −0.72106 + 1.29014I
−2.30386 + 8.15382I 0
u = −1.406380 + 0.095621I
a = 0.014083 + 0.684162I
b = 0.245039 + 0.372203I
−3.08455 + 6.79519I 0
u = −1.406380 − 0.095621I
a = 0.014083 − 0.684162I
b = 0.245039 − 0.372203I
−3.08455 − 6.79519I 0
u = 1.38335 + 0.29769I
a = −0.175659 − 0.192721I
b = −0.661759 + 0.231613I
−5.65223 − 3.43719I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38335 − 0.29769I
a = −0.175659 + 0.192721I
b = −0.661759 − 0.231613I
−5.65223 + 3.43719I 0
u = 1.38244 + 0.37149I
a = −0.143920 − 0.134597I
b = −0.734836 + 0.463195I
−5.57305 − 3.30766I 0
u = 1.38244 − 0.37149I
a = −0.143920 + 0.134597I
b = −0.734836 − 0.463195I
−5.57305 + 3.30766I 0
u = 1.30335 + 0.62376I
a = 0.57308 − 1.39773I
b = 0.72169 + 1.33593I
1.32646 − 8.55782I 0
u = 1.30335 − 0.62376I
a = 0.57308 + 1.39773I
b = 0.72169 − 1.33593I
1.32646 + 8.55782I 0
u = −1.28036 + 0.67497I
a = 0.299549 + 1.279940I
b = 0.613916 − 0.884658I
−5.98799 + 2.01174I 0
u = −1.28036 − 0.67497I
a = 0.299549 − 1.279940I
b = 0.613916 + 0.884658I
−5.98799 − 2.01174I 0
u = −1.42354 + 0.34128I
a = 0.0707625 + 0.0911755I
b = −0.347276 − 0.607669I
−4.31450 − 0.17453I 0
u = −1.42354 − 0.34128I
a = 0.0707625 − 0.0911755I
b = −0.347276 + 0.607669I
−4.31450 + 0.17453I 0
u = 1.32237 + 0.63101I
a = −0.793108 + 1.087440I
b = −0.688269 − 1.140110I
−2.05823 − 11.49980I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.32237 − 0.63101I
a = −0.793108 − 1.087440I
b = −0.688269 + 1.140110I
−2.05823 + 11.49980I 0
u = −1.34825 + 0.60489I
a = 0.76177 + 1.31250I
b = 0.67835 − 1.33972I
−4.5477 + 14.7393I 0
u = −1.34825 − 0.60489I
a = 0.76177 − 1.31250I
b = 0.67835 + 1.33972I
−4.5477 − 14.7393I 0
u = −1.32288 + 0.66915I
a = −0.903929 − 0.692723I
b = −0.023747 + 0.854023I
1.33826 + 5.01804I 0
u = −1.32288 − 0.66915I
a = −0.903929 + 0.692723I
b = −0.023747 − 0.854023I
1.33826 − 5.01804I 0
u = −1.33566 + 0.65285I
a = −0.65202 − 1.33393I
b = −0.458880 + 1.098460I
−3.31320 + 7.69765I 0
u = −1.33566 − 0.65285I
a = −0.65202 + 1.33393I
b = −0.458880 − 1.098460I
−3.31320 − 7.69765I 0
u = 1.47887 + 0.16081I
a = −0.594434 − 0.121015I
b = −0.243349 − 0.838695I
−3.39242 − 4.68956I 0
u = 1.47887 − 0.16081I
a = −0.594434 + 0.121015I
b = −0.243349 + 0.838695I
−3.39242 + 4.68956I 0
u = 1.31051 + 0.72533I
a = 0.239192 − 1.313250I
b = 0.479588 + 0.890960I
−2.21722 + 4.06625I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.31051 − 0.72533I
a = 0.239192 + 1.313250I
b = 0.479588 − 0.890960I
−2.21722 − 4.06625I 0
u = 1.37360 + 0.61985I
a = 0.75629 − 1.24842I
b = 0.68569 + 1.33453I
−0.7250 − 20.9492I 0
u = 1.37360 − 0.61985I
a = 0.75629 + 1.24842I
b = 0.68569 − 1.33453I
−0.7250 + 20.9492I 0
u = −1.37879 + 0.61013I
a = −0.723226 − 1.136500I
b = −0.591153 + 1.147680I
−3.34668 + 8.46676I 0
u = −1.37879 − 0.61013I
a = −0.723226 + 1.136500I
b = −0.591153 − 1.147680I
−3.34668 − 8.46676I 0
u = −0.149239 + 0.465968I
a = 2.95141 − 1.26247I
b = 0.159460 − 0.000710I
−0.059643 − 0.675636I 2.4579 − 30.9439I
u = −0.149239 − 0.465968I
a = 2.95141 + 1.26247I
b = 0.159460 + 0.000710I
−0.059643 + 0.675636I 2.4579 + 30.9439I
u = 1.51224 + 0.25420I
a = −0.141405 + 0.395179I
b = 0.558384 − 0.606909I
−6.77481 + 2.64301I 0
u = 1.51224 − 0.25420I
a = −0.141405 − 0.395179I
b = 0.558384 + 0.606909I
−6.77481 − 2.64301I 0
u = −1.46098 + 0.46770I
a = −0.634911 − 0.909395I
b = −0.63646 + 1.34306I
−1.71406 + 10.39730I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46098 − 0.46770I
a = −0.634911 + 0.909395I
b = −0.63646 − 1.34306I
−1.71406 − 10.39730I 0
u = −0.275663 + 0.359888I
a = 0.538661 − 0.443613I
b = 0.061815 − 0.462289I
−0.336605 + 1.084720I −5.22595 − 5.66533I
u = −0.275663 − 0.359888I
a = 0.538661 + 0.443613I
b = 0.061815 + 0.462289I
−0.336605 − 1.084720I −5.22595 + 5.66533I
u = −0.218766 + 0.393502I
a = 1.46537 − 0.17122I
b = −0.338185 − 0.975463I
−0.534583 + 0.783220I −4.52573 − 1.25513I
u = −0.218766 − 0.393502I
a = 1.46537 + 0.17122I
b = −0.338185 + 0.975463I
−0.534583 − 0.783220I −4.52573 + 1.25513I
u = −0.249302 + 0.287710I
a = 0.093593 − 1.068990I
b = 0.649723 − 0.379912I
−0.89258 + 2.05598I −10.4495 − 9.7448I
u = −0.249302 − 0.287710I
a = 0.093593 + 1.068990I
b = 0.649723 + 0.379912I
−0.89258 − 2.05598I −10.4495 + 9.7448I
u = 0.326923
a = −1.05460
b = 0.818662
−1.50297 −12.3050
u = 1.55099 + 0.69493I
a = −0.410810 + 1.110090I
b = −0.403020 − 1.284840I
1.87905 − 9.75004I 0
u = 1.55099 − 0.69493I
a = −0.410810 − 1.110090I
b = −0.403020 + 1.284840I
1.87905 + 9.75004I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.77574 + 0.26793I
a = −0.126853 − 0.493272I
b = 0.326955 + 0.701169I
−2.95177 − 7.67669I 0
u = −1.77574 − 0.26793I
a = −0.126853 + 0.493272I
b = 0.326955 − 0.701169I
−2.95177 + 7.67669I 0
u = 0.121888 + 0.153034I
a = −3.13541 + 1.59452I
b = 0.459776 − 1.139850I
1.69239 + 4.64275I −7.42416 − 6.69331I
u = 0.121888 − 0.153034I
a = −3.13541 − 1.59452I
b = 0.459776 + 1.139850I
1.69239 − 4.64275I −7.42416 + 6.69331I
u = 0.0709405
a = −8.57591
b = 0.684916
−1.69587 −6.88590
u = 0.28551 + 2.07261I
a = −0.196374 + 1.142190I
b = 0.180695 − 0.958724I
6.94064 + 0.75116I 0
u = 0.28551 − 2.07261I
a = −0.196374 − 1.142190I
b = 0.180695 + 0.958724I
6.94064 − 0.75116I 0
22
II.
I
u
2
= h1.32 × 10
47
u
40
− 3.05 × 10
47
u
39
+ · · · + 3.87 × 10
46
b − 2.50 × 10
47
, 1.95 ×
10
46
u
40
−6.23×10
46
u
39
+· · ·+3.87×10
46
a−1.20×10
47
, u
41
−3u
40
+· · ·−7u+1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.504218u
40
+ 1.61014u
39
+ ··· − 16.4471u + 3.09269
−3.40270u
40
+ 7.88537u
39
+ ··· − 32.2784u + 6.45352
a
9
=
−u
−u
3
+ u
a
4
=
−3.90692u
40
+ 9.49551u
39
+ ··· − 48.7255u + 9.54621
−3.40270u
40
+ 7.88537u
39
+ ··· − 32.2784u + 6.45352
a
2
=
−0.285944u
40
+ 0.280571u
39
+ ··· − 3.17838u − 2.66948
0.583683u
40
− 1.23482u
39
+ ··· + 1.31405u − 1.84434
a
6
=
1.66939u
40
− 4.24518u
39
+ ··· + 15.5680u − 6.91436
−2.18576u
40
+ 4.79514u
39
+ ··· − 17.7344u + 1.26433
a
3
=
−1.59769u
40
+ 4.35538u
39
+ ··· − 30.3258u + 6.07269
−4.35834u
40
+ 10.0597u
39
+ ··· − 40.4743u + 8.13946
a
11
=
1.57757u
40
− 3.22648u
39
+ ··· + 14.1231u + 1.41052
1.09108u
40
− 2.38574u
39
+ ··· + 12.7733u − 0.549375
a
7
=
2.35977u
40
− 5.74149u
39
+ ··· + 29.5778u − 2.58868
5.03805u
40
− 11.7021u
39
+ ··· + 44.5403u − 7.01700
a
10
=
0.645977u
40
− 0.869514u
39
+ ··· + 4.53158u + 4.61515
−3.23140u
40
+ 7.08931u
39
+ ··· − 17.4520u + 5.42626
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4.08577u
40
− 2.63599u
39
+ ··· + 50.6024u − 1.81203
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
41
− 12u
40
+ ··· + 60u − 3
c
2
u
41
+ 2u
40
+ ··· − 11u + 1
c
3
u
41
+ 19u
39
+ ··· − 8u + 8
c
4
u
41
− u
40
+ ··· − 2u + 1
c
5
u
41
− 7u
40
+ ··· + 11u + 1
c
6
u
41
− 2u
40
+ ··· − 27u + 27
c
7
u
41
+ 2u
40
+ ··· − 12u + 1
c
8
u
41
+ 3u
40
+ ··· − 7u − 1
c
9
u
41
+ 2u
40
+ ··· − 27u − 27
c
10
u
41
+ 9u
39
+ ··· + 2u + 1
c
11
u
41
+ u
40
+ ··· − 2u − 1
c
12
u
41
− 3u
40
+ ··· − 7u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
41
+ 4y
39
+ ··· + 468y −9
c
2
y
41
+ 6y
40
+ ··· + 15y −1
c
3
y
41
+ 38y
40
+ ··· − 2592y −64
c
4
, c
11
y
41
+ 43y
40
+ ··· − 24y −1
c
5
y
41
+ 33y
40
+ ··· − 115y −1
c
6
, c
9
y
41
− 26y
40
+ ··· + 6561y −729
c
7
y
41
− 22y
40
+ ··· − 22y −1
c
8
, c
12
y
41
− 21y
40
+ ··· + 19y −1
c
10
y
41
+ 18y
40
+ ··· − 14y −1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.942240 + 0.148783I
a = 0.855059 + 0.354655I
b = −0.04023 − 2.55342I
−0.005457 + 0.590715I 172.243 + 269.675I
u = −0.942240 − 0.148783I
a = 0.855059 − 0.354655I
b = −0.04023 + 2.55342I
−0.005457 − 0.590715I 172.243 − 269.675I
u = −0.839460 + 0.382742I
a = 2.01764 + 2.22806I
b = 0.352341 − 0.883957I
0.87089 + 10.17560I −2.32863 − 11.26713I
u = −0.839460 − 0.382742I
a = 2.01764 − 2.22806I
b = 0.352341 + 0.883957I
0.87089 − 10.17560I −2.32863 + 11.26713I
u = −0.200442 + 0.817891I
a = 0.80084 + 1.42042I
b = −0.011404 − 1.119450I
1.82916 + 0.26615I −2.59108 − 0.20098I
u = −0.200442 − 0.817891I
a = 0.80084 − 1.42042I
b = −0.011404 + 1.119450I
1.82916 − 0.26615I −2.59108 + 0.20098I
u = −1.135010 + 0.277776I
a = −0.599264 − 0.513344I
b = −0.803300 + 0.174775I
−3.87785 + 0.93606I −11.42964 − 1.06677I
u = −1.135010 − 0.277776I
a = −0.599264 + 0.513344I
b = −0.803300 − 0.174775I
−3.87785 − 0.93606I −11.42964 + 1.06677I
u = 0.756809 + 0.335499I
a = 1.36861 − 2.97141I
b = 0.306019 + 1.026790I
−1.57385 − 4.47564I −2.63829 + 7.19328I
u = 0.756809 − 0.335499I
a = 1.36861 + 2.97141I
b = 0.306019 − 1.026790I
−1.57385 + 4.47564I −2.63829 − 7.19328I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.798928 + 0.039430I
a = 0.606852 + 0.274369I
b = 0.19252 − 1.76128I
3.55362 − 6.55918I 1.84399 + 5.69845I
u = 0.798928 − 0.039430I
a = 0.606852 − 0.274369I
b = 0.19252 + 1.76128I
3.55362 + 6.55918I 1.84399 − 5.69845I
u = 1.185260 + 0.272986I
a = 0.560631 − 1.006050I
b = 0.37500 + 1.49220I
1.35213 − 7.25347I −4.00000 + 9.57572I
u = 1.185260 − 0.272986I
a = 0.560631 + 1.006050I
b = 0.37500 − 1.49220I
1.35213 + 7.25347I −4.00000 − 9.57572I
u = −0.134329 + 0.747022I
a = −0.273623 − 1.291960I
b = 0.465423 + 1.157100I
2.49057 − 4.77549I 2.88491 + 6.22928I
u = −0.134329 − 0.747022I
a = −0.273623 + 1.291960I
b = 0.465423 − 1.157100I
2.49057 + 4.77549I 2.88491 − 6.22928I
u = −1.246080 + 0.218675I
a = −0.757596 − 0.115633I
b = −0.185439 + 0.361833I
−4.10767 + 0.78746I −8.36492 + 0.I
u = −1.246080 − 0.218675I
a = −0.757596 + 0.115633I
b = −0.185439 − 0.361833I
−4.10767 − 0.78746I −8.36492 + 0.I
u = 0.301221 + 0.651288I
a = 0.48226 + 2.30421I
b = 0.098701 − 0.502488I
0.137829 + 0.885702I 6.02120 + 3.60405I
u = 0.301221 − 0.651288I
a = 0.48226 − 2.30421I
b = 0.098701 + 0.502488I
0.137829 − 0.885702I 6.02120 − 3.60405I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.240992 + 1.277560I
a = −0.59548 + 1.38985I
b = 0.450236 − 1.024540I
4.50491 + 1.90830I −13.3625 + 6.4868I
u = 0.240992 − 1.277560I
a = −0.59548 − 1.38985I
b = 0.450236 + 1.024540I
4.50491 − 1.90830I −13.3625 − 6.4868I
u = 1.358020 + 0.197631I
a = −0.837170 − 0.066399I
b = −0.384380 − 0.659771I
−4.09788 − 4.36966I 0
u = 1.358020 − 0.197631I
a = −0.837170 + 0.066399I
b = −0.384380 + 0.659771I
−4.09788 + 4.36966I 0
u = 1.374230 + 0.055257I
a = −0.155270 − 0.777971I
b = −0.146751 − 0.783930I
−4.88723 − 3.01586I 0
u = 1.374230 − 0.055257I
a = −0.155270 + 0.777971I
b = −0.146751 + 0.783930I
−4.88723 + 3.01586I 0
u = 1.354000 + 0.299765I
a = −0.298939 − 0.194967I
b = −0.802871 + 0.273020I
−4.84027 − 4.01187I 0
u = 1.354000 − 0.299765I
a = −0.298939 + 0.194967I
b = −0.802871 − 0.273020I
−4.84027 + 4.01187I 0
u = 0.053513 + 0.522502I
a = 1.65505 − 1.91973I
b = 0.481662 + 0.232463I
−0.348489 + 0.729896I −3.1504 + 14.8763I
u = 0.053513 − 0.522502I
a = 1.65505 + 1.91973I
b = 0.481662 − 0.232463I
−0.348489 − 0.729896I −3.1504 − 14.8763I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.39819 + 0.49898I
a = −0.732903 − 0.911273I
b = −0.652341 + 1.242110I
−1.83128 + 9.73283I 0
u = −1.39819 − 0.49898I
a = −0.732903 + 0.911273I
b = −0.652341 − 1.242110I
−1.83128 − 9.73283I 0
u = 1.35397 + 0.62214I
a = −0.472610 + 1.204680I
b = −0.671924 − 1.220120I
0.56785 − 8.53887I 0
u = 1.35397 − 0.62214I
a = −0.472610 − 1.204680I
b = −0.671924 + 1.220120I
0.56785 + 8.53887I 0
u = −0.404812
a = 3.62419
b = 0.866229
1.67521 3.97030
u = −1.59471 + 0.06485I
a = 0.331493 + 0.004241I
b = −0.088440 − 0.744162I
−2.22372 − 7.21885I 0
u = −1.59471 − 0.06485I
a = 0.331493 − 0.004241I
b = −0.088440 + 0.744162I
−2.22372 + 7.21885I 0
u = 0.216803 + 0.139905I
a = −0.51478 − 1.80816I
b = 0.26483 − 1.39242I
6.25017 + 3.84475I 4.87043 − 3.52195I
u = 0.216803 − 0.139905I
a = −0.51478 + 1.80816I
b = 0.26483 + 1.39242I
6.25017 − 3.84475I 4.87043 + 3.52195I
u = 0.19911 + 1.99869I
a = 0.247119 − 1.147090I
b = −0.132764 + 0.978246I
7.04391 + 0.54108I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.19911 − 1.99869I
a = 0.247119 + 1.147090I
b = −0.132764 − 0.978246I
7.04391 − 0.54108I 0
32
III. I
u
3
= hb − 1, a, u + 1i
(i) Arc colorings
a
8
=
0
−1
a
12
=
1
0
a
1
=
1
1
a
5
=
0
1
a
9
=
1
0
a
4
=
1
1
a
2
=
1
1
a
6
=
−1
0
a
3
=
0
1
a
11
=
1
−1
a
7
=
−1
0
a
10
=
1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
9
u
c
2
, c
7
, c
8
c
10
, c
11
u − 1
c
3
, c
4
, c
5
c
12
u + 1
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
9
y
c
2
, c
3
, c
4
c
5
, c
7
, c
8
c
10
, c
11
, c
12
y −1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0
b = 1.00000
−3.28987 −12.0000
36
IV. I
u
4
= hb + a + 2, a
2
+ 3a + 3, u + 1i
(i) Arc colorings
a
8
=
0
−1
a
12
=
1
0
a
1
=
1
1
a
5
=
a
−a − 2
a
9
=
1
0
a
4
=
−2
−a − 2
a
2
=
2a + 1
−a − 2
a
6
=
−a − 1
0
a
3
=
a
−a − 2
a
11
=
−a − 2
−a − 1
a
7
=
−a − 1
0
a
10
=
1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
2
− 3u + 3
c
2
, c
8
(u − 1)
2
c
3
, c
4
u
2
− u + 1
c
5
, c
12
(u + 1)
2
c
6
, c
9
u
2
c
7
, c
10
, c
11
u
2
+ u + 1
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
2
− 3y + 9
c
2
, c
5
, c
8
c
12
(y −1)
2
c
3
, c
4
, c
7
c
10
, c
11
y
2
+ y + 1
c
6
, c
9
y
2
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.50000 + 0.86603I
b = −0.500000 − 0.866025I
−3.28987 −9.00000
u = −1.00000
a = −1.50000 − 0.86603I
b = −0.500000 + 0.866025I
−3.28987 −9.00000
40
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u
2
− 3u + 3)(u
41
− 12u
40
+ ··· + 60u − 3)
· (u
177
+ 12u
176
+ ··· + 594886u − 71806)
c
2
((u − 1)
3
)(u
41
+ 2u
40
+ ··· − 11u + 1)(u
177
− 2u
176
+ ··· − 307u + 29)
c
3
(u + 1)(u
2
− u + 1)(u
41
+ 19u
39
+ ··· − 8u + 8)
· (u
177
− u
176
+ ··· + 20299788u − 41864904)
c
4
(u + 1)(u
2
− u + 1)(u
41
− u
40
+ ··· − 2u + 1)
· (u
177
+ 57u
175
+ ··· − 3987u − 577)
c
5
((u + 1)
3
)(u
41
− 7u
40
+ ··· + 11u + 1)
· (u
177
− 3u
176
+ ··· + 571133u + 16391)
c
6
u
3
(u
41
− 2u
40
+ ··· − 27u + 27)(u
177
+ u
176
+ ··· − 4688u − 248)
c
7
(u − 1)(u
2
+ u + 1)(u
41
+ 2u
40
+ ··· − 12u + 1)
· (u
177
+ 5u
176
+ ··· + 575187597u + 140105457)
c
8
((u − 1)
3
)(u
41
+ 3u
40
+ ··· − 7u − 1)
· (u
177
− 3u
176
+ ··· + 99313u − 4201)
c
9
u
3
(u
41
+ 2u
40
+ ··· − 27u − 27)(u
177
+ u
176
+ ··· − 4688u − 248)
c
10
(u − 1)(u
2
+ u + 1)(u
41
+ 9u
39
+ ··· + 2u + 1)
· (u
177
+ 3u
176
+ ··· − 2447u + 211)
c
11
(u − 1)(u
2
+ u + 1)(u
41
+ u
40
+ ··· − 2u − 1)
· (u
177
+ 57u
175
+ ··· − 3987u − 577)
c
12
((u + 1)
3
)(u
41
− 3u
40
+ ··· − 7u + 1)
· (u
177
− 3u
176
+ ··· + 99313u − 4201)
41
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y(y
2
− 3y + 9)(y
41
+ 4y
39
+ ··· + 468y −9)
· (y
177
− 24y
176
+ ··· + 59480875472y −5156101636)
c
2
((y −1)
3
)(y
41
+ 6y
40
+ ··· + 15y −1)
· (y
177
+ 14y
176
+ ··· + 22677y −841)
c
3
(y −1)(y
2
+ y + 1)(y
41
+ 38y
40
+ ··· − 2592y −64)
· (y
177
+ 93y
176
+ ··· − 69206595705210672y −1752670186929216)
c
4
, c
11
(y −1)(y
2
+ y + 1)(y
41
+ 43y
40
+ ··· − 24y −1)
· (y
177
+ 114y
176
+ ··· − 9098317y −332929)
c
5
((y −1)
3
)(y
41
+ 33y
40
+ ··· − 115y −1)
· (y
177
+ 5y
176
+ ··· − 252864312125y −268664881)
c
6
, c
9
y
3
(y
41
− 26y
40
+ ··· + 6561y −729)
· (y
177
− 107y
176
+ ··· + 3350560y −61504)
c
7
(y −1)(y
2
+ y + 1)(y
41
− 22y
40
+ ··· − 22y −1)
· (y
177
− 71y
176
+ ··· + 1502416853582876793y −19629539081178849)
c
8
, c
12
((y −1)
3
)(y
41
− 21y
40
+ ··· + 19y −1)
· (y
177
− 109y
176
+ ··· + 3935864265y −17648401)
c
10
(y −1)(y
2
+ y + 1)(y
41
+ 18y
40
+ ··· − 14y −1)
· (y
177
+ 13y
176
+ ··· + 3237213y −44521)
42
