12a
1190
(K12a
1190
)
A knot diagram
1
Linearized knot diagam
4 10 11 8 1 3 2 5 12 7 6 9
Solving Sequence
7,10 3,11
4 2 8 1 6 12 5 9
c
10
c
3
c
2
c
7
c
1
c
6
c
11
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.49146 × 10
1687
u
177
− 5.62173 × 10
1687
u
176
+ ··· + 1.88308 × 10
1688
b + 1.61526 × 10
1688
,
− 1.19578 × 10
1688
u
177
− 6.33495 × 10
1688
u
176
+ ··· + 1.12985 × 10
1689
a + 1.06401 × 10
1690
,
u
178
+ 4u
177
+ ··· − 21u − 2i
I
u
2
= h8.62429 × 10
50
u
36
− 4.71449 × 10
51
u
35
+ ··· + 1.82706 × 10
52
b + 2.16797 × 10
52
,
1.72012 × 10
53
u
36
+ 7.10407 × 10
53
u
35
+ ··· + 5.48117 × 10
52
a − 3.27600 × 10
53
, u
37
+ 4u
36
+ ··· − 6u
2
− 1i
I
u
3
= hb + 1, 4a + u + 1, u
2
− u + 2i
* 3 irreducible components of dim
C
= 0, with total 217 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−1.49 × 10
1687
u
177
− 5.62 × 10
1687
u
176
+ · · · + 1.88 × 10
1688
b +
1.62 × 10
1688
, −1.20 × 10
1688
u
177
− 6.33 × 10
1688
u
176
+ · · · + 1.13 ×
10
1689
a + 1.06 × 10
1690
, u
178
+ 4u
177
+ · · · − 21u − 2i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
3
=
0.105836u
177
+ 0.560692u
176
+ ··· − 11.6907u − 9.41733
0.0792032u
177
+ 0.298540u
176
+ ··· − 2.76824u − 0.857776
a
11
=
1
−u
2
a
4
=
0.0122961u
177
+ 0.233061u
176
+ ··· − 12.0185u − 8.83425
0.0760799u
177
+ 0.295925u
176
+ ··· − 3.55824u − 0.950832
a
2
=
0.0266326u
177
+ 0.262152u
176
+ ··· − 8.92250u − 8.55956
0.0792032u
177
+ 0.298540u
176
+ ··· − 2.76824u − 0.857776
a
8
=
−0.618581u
177
− 2.17190u
176
+ ··· + 52.4006u − 0.0257066
0.176218u
177
+ 0.737382u
176
+ ··· − 15.0884u − 2.55881
a
1
=
−0.253660u
177
− 1.02149u
176
+ ··· + 36.8667u + 0.0634775
0.0754801u
177
+ 0.277632u
176
+ ··· − 5.33836u − 0.844349
a
6
=
−0.255051u
177
− 0.664552u
176
+ ··· + 20.5289u − 5.22424
0.187312u
177
+ 0.769967u
176
+ ··· − 14.7832u − 2.63972
a
12
=
−1.88497u
177
− 7.51745u
176
+ ··· + 117.974u + 36.5488
−0.0838975u
177
− 0.335890u
176
+ ··· + 3.14355u + 2.04874
a
5
=
−1.49126u
177
− 5.42814u
176
+ ··· + 74.4212u + 10.7835
0.115106u
177
+ 0.483065u
176
+ ··· − 15.3748u − 3.80923
a
9
=
−3.15788u
177
− 12.2043u
176
+ ··· + 131.418u + 44.7856
−0.0801125u
177
− 0.334446u
176
+ ··· + 9.90154u − 0.107285
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.02479u
177
− 4.33367u
176
+ ··· + 42.2180u + 7.71517
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
178
+ 9u
177
+ ··· + 195424u + 17789
c
2
u
178
+ 2u
177
+ ··· − 7960u − 317
c
3
u
178
+ 6u
176
+ ··· − 666u + 48
c
4
, c
8
u
178
− 2u
177
+ ··· + 4446u + 507
c
5
2(2u
178
− 3u
177
+ ··· + 4.56520 × 10
9
u − 3.41074 × 10
8
)
c
6
2(2u
178
+ 23u
177
+ ··· + 219u − 47)
c
7
2(2u
178
+ 5u
177
+ ··· + 4.04930 × 10
9
u − 1.45266 × 10
9
)
c
9
, c
12
u
178
− 5u
177
+ ··· + 127105u − 5687
c
10
u
178
− 4u
177
+ ··· + 21u − 2
c
11
u
178
+ 15u
176
+ ··· + 9533823u − 3520214
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
178
− 23y
177
+ ··· − 39074546342y + 316448521
c
2
y
178
+ 34y
177
+ ··· + 2079880y + 100489
c
3
y
178
+ 12y
177
+ ··· − 194916y + 2304
c
4
, c
8
y
178
− 150y
177
+ ··· − 14609712y + 257049
c
5
4(4y
178
− 237y
177
+ ··· − 8.57880 × 10
18
y + 1.16331 × 10
17
)
c
6
4(4y
178
+ 71y
177
+ ··· + 137783y + 2209)
c
7
4(4y
178
+ 355y
177
+ ··· − 6.10451 × 10
19
y + 2.11024 × 10
18
)
c
9
, c
12
y
178
+ 143y
177
+ ··· − 4213128887y + 32341969
c
10
y
178
+ 6y
177
+ ··· − 37y + 4
c
11
y
178
+ 30y
177
+ ··· + 1544048546344095y + 12391906605796
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.334212 + 0.921829I
a = 0.233673 + 0.436254I
b = 1.28299 + 0.87450I
−2.98454 + 3.17441I 0
u = 0.334212 − 0.921829I
a = 0.233673 − 0.436254I
b = 1.28299 − 0.87450I
−2.98454 − 3.17441I 0
u = −0.745003 + 0.636120I
a = −0.330882 − 0.000632I
b = −1.243140 + 0.263859I
−1.55990 − 0.68923I 0
u = −0.745003 − 0.636120I
a = −0.330882 + 0.000632I
b = −1.243140 − 0.263859I
−1.55990 + 0.68923I 0
u = −0.040993 + 0.976650I
a = 1.45231 + 0.61687I
b = 0.160668 + 0.593015I
−9.37899 + 8.52499I 0
u = −0.040993 − 0.976650I
a = 1.45231 − 0.61687I
b = 0.160668 − 0.593015I
−9.37899 − 8.52499I 0
u = −0.810180 + 0.521711I
a = 0.44071 + 1.77226I
b = −0.818838 + 0.394494I
0.69328 − 6.97464I 0
u = −0.810180 − 0.521711I
a = 0.44071 − 1.77226I
b = −0.818838 − 0.394494I
0.69328 + 6.97464I 0
u = 0.762016 + 0.704658I
a = 0.054773 − 1.091680I
b = −0.89039 − 1.33047I
−1.70044 + 5.23899I 0
u = 0.762016 − 0.704658I
a = 0.054773 + 1.091680I
b = −0.89039 + 1.33047I
−1.70044 − 5.23899I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.686190 + 0.670809I
a = 0.07203 + 1.54734I
b = 0.715833 + 0.994636I
4.02978 + 4.45479I 0
u = 0.686190 − 0.670809I
a = 0.07203 − 1.54734I
b = 0.715833 − 0.994636I
4.02978 − 4.45479I 0
u = −0.058178 + 1.047940I
a = −0.72673 − 1.29867I
b = −0.171733 − 0.729843I
−6.21858 + 1.49415I 0
u = −0.058178 − 1.047940I
a = −0.72673 + 1.29867I
b = −0.171733 + 0.729843I
−6.21858 − 1.49415I 0
u = 0.891438 + 0.303280I
a = 0.144617 + 0.478241I
b = 0.95751 + 1.41048I
−0.98017 + 5.40898I 0
u = 0.891438 − 0.303280I
a = 0.144617 − 0.478241I
b = 0.95751 − 1.41048I
−0.98017 − 5.40898I 0
u = 0.746027 + 0.542943I
a = −0.05512 + 1.62056I
b = 0.473762 + 0.548739I
4.13240 + 4.10945I 0
u = 0.746027 − 0.542943I
a = −0.05512 − 1.62056I
b = 0.473762 − 0.548739I
4.13240 − 4.10945I 0
u = −0.850751 + 0.661025I
a = −0.068350 − 1.222040I
b = 0.65745 − 1.60237I
−3.62487 − 6.33004I 0
u = −0.850751 − 0.661025I
a = −0.068350 + 1.222040I
b = 0.65745 + 1.60237I
−3.62487 + 6.33004I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.622228 + 0.669833I
a = 0.24634 − 1.79404I
b = 0.984915 − 0.684501I
1.21927 − 1.57710I 0
u = −0.622228 − 0.669833I
a = 0.24634 + 1.79404I
b = 0.984915 + 0.684501I
1.21927 + 1.57710I 0
u = −0.740383 + 0.527956I
a = −0.137296 + 0.673777I
b = −0.738608 + 0.385350I
1.35575 − 0.91115I 0
u = −0.740383 − 0.527956I
a = −0.137296 − 0.673777I
b = −0.738608 − 0.385350I
1.35575 + 0.91115I 0
u = −0.847296 + 0.689743I
a = −0.091334 + 1.185800I
b = −1.002850 + 0.637421I
2.74103 − 1.16411I 0
u = −0.847296 − 0.689743I
a = −0.091334 − 1.185800I
b = −1.002850 − 0.637421I
2.74103 + 1.16411I 0
u = 0.900439 + 0.641713I
a = −0.139740 − 1.325770I
b = −1.161380 − 0.198914I
−0.95493 − 3.01964I 0
u = 0.900439 − 0.641713I
a = −0.139740 + 1.325770I
b = −1.161380 + 0.198914I
−0.95493 + 3.01964I 0
u = −0.104953 + 0.885622I
a = −0.490710 + 0.757787I
b = 0.594836 + 0.880721I
−5.90764 − 2.67081I 0
u = −0.104953 − 0.885622I
a = −0.490710 − 0.757787I
b = 0.594836 − 0.880721I
−5.90764 + 2.67081I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.026249 + 0.888683I
a = 0.66956 + 1.68413I
b = 0.146894 + 1.365680I
−9.51815 − 2.04707I 0
u = 0.026249 − 0.888683I
a = 0.66956 − 1.68413I
b = 0.146894 − 1.365680I
−9.51815 + 2.04707I 0
u = −0.882202 + 0.108564I
a = 0.125725 + 0.628410I
b = 0.35205 + 1.50690I
2.84041 + 0.34314I 0
u = −0.882202 − 0.108564I
a = 0.125725 − 0.628410I
b = 0.35205 − 1.50690I
2.84041 − 0.34314I 0
u = 0.373609 + 0.804667I
a = 1.40089 − 0.26878I
b = 0.178737 − 0.679089I
−2.81218 − 0.84469I 0
u = 0.373609 − 0.804667I
a = 1.40089 + 0.26878I
b = 0.178737 + 0.679089I
−2.81218 + 0.84469I 0
u = 1.014590 + 0.500312I
a = −0.128840 − 0.713116I
b = −0.042097 − 0.799859I
−0.79329 + 4.77627I 0
u = 1.014590 − 0.500312I
a = −0.128840 + 0.713116I
b = −0.042097 + 0.799859I
−0.79329 − 4.77627I 0
u = −0.004895 + 0.866487I
a = −0.029943 + 1.333020I
b = −0.43283 + 2.21565I
−8.97747 − 0.92900I 0
u = −0.004895 − 0.866487I
a = −0.029943 − 1.333020I
b = −0.43283 − 2.21565I
−8.97747 + 0.92900I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.068500 + 0.419249I
a = 0.462573 + 0.427802I
b = 0.604436 − 0.274096I
−1.51647 − 3.23333I 0
u = 1.068500 − 0.419249I
a = 0.462573 − 0.427802I
b = 0.604436 + 0.274096I
−1.51647 + 3.23333I 0
u = 0.803606 + 0.278642I
a = −0.113056 − 0.843541I
b = −0.86706 − 1.54573I
0.15715 + 5.57475I 0
u = 0.803606 − 0.278642I
a = −0.113056 + 0.843541I
b = −0.86706 + 1.54573I
0.15715 − 5.57475I 0
u = −0.457898 + 1.070530I
a = −0.799381 + 0.318504I
b = 0.268664 − 0.031011I
−6.40919 − 2.24652I 0
u = −0.457898 − 1.070530I
a = −0.799381 − 0.318504I
b = 0.268664 + 0.031011I
−6.40919 + 2.24652I 0
u = 0.979172 + 0.638211I
a = 0.082470 − 0.867185I
b = −0.043878 − 0.593158I
−2.72043 + 3.29733I 0
u = 0.979172 − 0.638211I
a = 0.082470 + 0.867185I
b = −0.043878 + 0.593158I
−2.72043 − 3.29733I 0
u = −0.105893 + 0.822995I
a = 1.51430 − 1.24007I
b = 0.216066 − 0.362818I
−3.50598 − 3.00741I 0
u = −0.105893 − 0.822995I
a = 1.51430 + 1.24007I
b = 0.216066 + 0.362818I
−3.50598 + 3.00741I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.343790 + 0.745651I
a = 1.31346 − 1.16903I
b = −0.576134 − 0.962220I
−3.75421 + 7.16872I 0
u = 0.343790 − 0.745651I
a = 1.31346 + 1.16903I
b = −0.576134 + 0.962220I
−3.75421 − 7.16872I 0
u = −0.311853 + 0.738750I
a = 0.006552 − 0.649861I
b = 1.58343 − 0.79986I
−7.60302 − 3.01581I 0
u = −0.311853 − 0.738750I
a = 0.006552 + 0.649861I
b = 1.58343 + 0.79986I
−7.60302 + 3.01581I 0
u = −0.958218 + 0.735244I
a = −0.016518 − 1.242670I
b = 0.883485 − 0.449570I
1.89547 − 7.39104I 0
u = −0.958218 − 0.735244I
a = −0.016518 + 1.242670I
b = 0.883485 + 0.449570I
1.89547 + 7.39104I 0
u = 0.451192 + 0.650407I
a = −1.43950 − 0.76410I
b = 0.052954 + 0.366216I
−2.41955 + 0.71912I 0
u = 0.451192 − 0.650407I
a = −1.43950 + 0.76410I
b = 0.052954 − 0.366216I
−2.41955 − 0.71912I 0
u = 0.233709 + 0.752714I
a = −0.294268 + 0.231661I
b = −1.92818 + 0.48005I
−7.96554 + 5.30716I 0
u = 0.233709 − 0.752714I
a = −0.294268 − 0.231661I
b = −1.92818 − 0.48005I
−7.96554 − 5.30716I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.369275 + 0.684904I
a = −2.16033 − 1.06749I
b = 0.337282 − 0.974381I
−8.1559 − 12.4260I 0
u = −0.369275 − 0.684904I
a = −2.16033 + 1.06749I
b = 0.337282 + 0.974381I
−8.1559 + 12.4260I 0
u = −0.289753 + 0.714871I
a = 1.21884 + 1.10953I
b = −0.420309 + 0.695206I
0.42760 − 3.05593I 0
u = −0.289753 − 0.714871I
a = 1.21884 − 1.10953I
b = −0.420309 − 0.695206I
0.42760 + 3.05593I 0
u = 1.017850 + 0.750031I
a = 0.192237 − 1.294550I
b = −1.241900 − 0.513435I
−2.28027 + 11.98210I 0
u = 1.017850 − 0.750031I
a = 0.192237 + 1.294550I
b = −1.241900 + 0.513435I
−2.28027 − 11.98210I 0
u = −0.636803 + 0.356058I
a = −0.166679 + 0.742241I
b = −1.54205 + 1.81664I
−6.50405 − 11.29230I 0
u = −0.636803 − 0.356058I
a = −0.166679 − 0.742241I
b = −1.54205 − 1.81664I
−6.50405 + 11.29230I 0
u = −0.938845 + 0.872728I
a = −0.728210 − 0.190853I
b = −0.118241 − 0.343414I
−4.93549 − 0.39758I 0
u = −0.938845 − 0.872728I
a = −0.728210 + 0.190853I
b = −0.118241 + 0.343414I
−4.93549 + 0.39758I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.213788 + 0.647931I
a = −2.15061 + 1.72336I
b = 0.250649 + 0.755443I
−2.64277 + 6.59049I 0
u = 0.213788 − 0.647931I
a = −2.15061 − 1.72336I
b = 0.250649 − 0.755443I
−2.64277 − 6.59049I 0
u = 0.023270 + 1.330420I
a = −0.504926 + 0.269297I
b = −0.879521 + 0.293844I
2.16910 − 0.46767I 0
u = 0.023270 − 1.330420I
a = −0.504926 − 0.269297I
b = −0.879521 − 0.293844I
2.16910 + 0.46767I 0
u = −0.739465 + 1.107800I
a = −0.039825 − 0.846487I
b = 0.69742 − 1.73940I
−9.19212 − 5.51724I 0
u = −0.739465 − 1.107800I
a = −0.039825 + 0.846487I
b = 0.69742 + 1.73940I
−9.19212 + 5.51724I 0
u = −0.696323 + 1.172930I
a = −0.391900 + 1.120840I
b = −1.05057 + 1.24701I
−7.79155 − 10.71950I 0
u = −0.696323 − 1.172930I
a = −0.391900 − 1.120840I
b = −1.05057 − 1.24701I
−7.79155 + 10.71950I 0
u = −0.611470 + 0.135088I
a = −0.31378 + 3.50662I
b = −0.284235 − 0.986431I
−5.50473 + 0.54606I 0
u = −0.611470 − 0.135088I
a = −0.31378 − 3.50662I
b = −0.284235 + 0.986431I
−5.50473 − 0.54606I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.623724 + 1.224210I
a = 0.057014 − 0.827040I
b = 0.93610 − 1.11760I
−9.32855 − 4.54793I 0
u = −0.623724 − 1.224210I
a = 0.057014 + 0.827040I
b = 0.93610 + 1.11760I
−9.32855 + 4.54793I 0
u = 0.942466 + 1.002480I
a = −0.079452 − 0.950627I
b = −0.68322 − 1.26020I
−2.85055 + 5.46001I 0
u = 0.942466 − 1.002480I
a = −0.079452 + 0.950627I
b = −0.68322 + 1.26020I
−2.85055 − 5.46001I 0
u = −0.025189 + 0.613974I
a = −0.286756 − 1.239350I
b = 1.20632 − 2.25259I
−8.02992 + 10.67250I 0
u = −0.025189 − 0.613974I
a = −0.286756 + 1.239350I
b = 1.20632 + 2.25259I
−8.02992 − 10.67250I 0
u = −0.536660 + 0.278337I
a = −0.325262 + 1.107840I
b = −1.139290 + 0.355944I
1.47019 − 1.35952I 0
u = −0.536660 − 0.278337I
a = −0.325262 − 1.107840I
b = −1.139290 − 0.355944I
1.47019 + 1.35952I 0
u = 1.392650 + 0.133667I
a = 0.392177 + 0.332039I
b = −0.384591 − 0.306923I
−1.63563 + 0.90103I 0
u = 1.392650 − 0.133667I
a = 0.392177 − 0.332039I
b = −0.384591 + 0.306923I
−1.63563 − 0.90103I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.669687 + 1.229820I
a = 0.160923 − 0.340522I
b = 1.03910 − 1.09455I
−6.03822 − 3.94197I 0
u = −0.669687 − 1.229820I
a = 0.160923 + 0.340522I
b = 1.03910 + 1.09455I
−6.03822 + 3.94197I 0
u = 0.869272 + 1.098820I
a = −0.178082 − 1.124710I
b = −1.21941 − 1.13440I
−3.05106 + 10.00260I 0
u = 0.869272 − 1.098820I
a = −0.178082 + 1.124710I
b = −1.21941 + 1.13440I
−3.05106 − 10.00260I 0
u = 0.087151 + 0.580876I
a = 0.12321 − 1.85816I
b = −0.60964 − 1.80477I
−4.33834 − 0.44727I 0
u = 0.087151 − 0.580876I
a = 0.12321 + 1.85816I
b = −0.60964 + 1.80477I
−4.33834 + 0.44727I 0
u = −0.069560 + 0.566745I
a = 0.80787 − 1.37357I
b = −0.87571 − 1.63656I
−3.04218 − 5.85468I 0
u = −0.069560 − 0.566745I
a = 0.80787 + 1.37357I
b = −0.87571 + 1.63656I
−3.04218 + 5.85468I 0
u = −0.264331 + 0.498487I
a = 1.02225 + 1.88175I
b = −0.99841 + 1.65805I
−7.69749 + 1.02735I 0
u = −0.264331 − 0.498487I
a = 1.02225 − 1.88175I
b = −0.99841 − 1.65805I
−7.69749 − 1.02735I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07881 + 1.44669I
a = −0.714272 − 0.137503I
b = −1.286020 − 0.328346I
−0.82939 − 1.69405I 0
u = −0.07881 − 1.44669I
a = −0.714272 + 0.137503I
b = −1.286020 + 0.328346I
−0.82939 + 1.69405I 0
u = 0.200254 + 0.510705I
a = −2.07416 − 2.65095I
b = −0.034667 − 0.700359I
−6.42961 + 2.29582I 0
u = 0.200254 − 0.510705I
a = −2.07416 + 2.65095I
b = −0.034667 + 0.700359I
−6.42961 − 2.29582I 0
u = −0.180021 + 0.512373I
a = 3.86166 − 0.37177I
b = −0.104421 + 0.180610I
−6.85240 − 4.96963I 0
u = −0.180021 − 0.512373I
a = 3.86166 + 0.37177I
b = −0.104421 − 0.180610I
−6.85240 + 4.96963I 0
u = −1.44522 + 0.18937I
a = 0.178761 + 0.617076I
b = 0.119692 − 0.132470I
−4.10259 − 4.48237I 0
u = −1.44522 − 0.18937I
a = 0.178761 − 0.617076I
b = 0.119692 + 0.132470I
−4.10259 + 4.48237I 0
u = −0.89255 + 1.17071I
a = 0.216563 − 0.884138I
b = 1.008280 − 0.862612I
−0.62645 − 5.64321I 0
u = −0.89255 − 1.17071I
a = 0.216563 + 0.884138I
b = 1.008280 + 0.862612I
−0.62645 + 5.64321I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.085940 + 0.513513I
a = −1.09290 − 1.66095I
b = 0.391359 − 0.486170I
−1.48268 + 0.50506I 0
u = 0.085940 − 0.513513I
a = −1.09290 + 1.66095I
b = 0.391359 + 0.486170I
−1.48268 − 0.50506I 0
u = 0.219472 + 0.464560I
a = −2.55689 + 0.48127I
b = 0.716219 + 0.594132I
−3.95888 + 3.05190I 0
u = 0.219472 − 0.464560I
a = −2.55689 − 0.48127I
b = 0.716219 − 0.594132I
−3.95888 − 3.05190I 0
u = −0.229166 + 0.455818I
a = −0.111495 + 1.403930I
b = 1.25414 + 1.47677I
−1.89387 − 6.45141I 0. + 14.7650I
u = −0.229166 − 0.455818I
a = −0.111495 − 1.403930I
b = 1.25414 − 1.47677I
−1.89387 + 6.45141I 0. − 14.7650I
u = −1.05202 + 1.06437I
a = 0.072885 − 1.062030I
b = 0.679254 − 1.190290I
−4.82577 − 6.98736I 0
u = −1.05202 − 1.06437I
a = 0.072885 + 1.062030I
b = 0.679254 + 1.190290I
−4.82577 + 6.98736I 0
u = −0.041912 + 0.482594I
a = 0.75819 − 4.33029I
b = 0.096906 − 1.039910I
−4.11558 + 0.61925I −22.6894 + 6.7956I
u = −0.041912 − 0.482594I
a = 0.75819 + 4.33029I
b = 0.096906 + 1.039910I
−4.11558 − 0.61925I −22.6894 − 6.7956I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.98293 + 1.15847I
a = −0.079778 + 1.045590I
b = −1.49056 + 1.26383I
−6.31378 − 10.09180I 0
u = −0.98293 − 1.15847I
a = −0.079778 − 1.045590I
b = −1.49056 − 1.26383I
−6.31378 + 10.09180I 0
u = −0.68140 + 1.35990I
a = 0.437484 − 0.354670I
b = 0.915427 − 0.201435I
0.89518 − 4.59048I 0
u = −0.68140 − 1.35990I
a = 0.437484 + 0.354670I
b = 0.915427 + 0.201435I
0.89518 + 4.59048I 0
u = 0.64462 + 1.39348I
a = 0.231156 + 0.173476I
b = 0.306825 + 0.493640I
−3.48270 + 0.34662I 0
u = 0.64462 − 1.39348I
a = 0.231156 − 0.173476I
b = 0.306825 − 0.493640I
−3.48270 − 0.34662I 0
u = 1.01711 + 1.15369I
a = 0.108588 + 1.013870I
b = 1.10281 + 1.13533I
−1.8747 + 15.3178I 0
u = 1.01711 − 1.15369I
a = 0.108588 − 1.013870I
b = 1.10281 − 1.13533I
−1.8747 − 15.3178I 0
u = 1.08679 + 1.09278I
a = 0.027751 + 0.630231I
b = 0.629381 + 1.141390I
−3.99995 + 4.86264I 0
u = 1.08679 − 1.09278I
a = 0.027751 − 0.630231I
b = 0.629381 − 1.141390I
−3.99995 − 4.86264I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.49626 + 0.40047I
a = −0.147499 + 0.334589I
b = 0.007561 + 0.695298I
−2.73459 + 5.29701I 0
u = 1.49626 − 0.40047I
a = −0.147499 − 0.334589I
b = 0.007561 − 0.695298I
−2.73459 − 5.29701I 0
u = −0.90341 + 1.25870I
a = 0.011815 + 0.737170I
b = −0.469370 + 1.161280I
−11.56810 + 2.40117I 0
u = −0.90341 − 1.25870I
a = 0.011815 − 0.737170I
b = −0.469370 − 1.161280I
−11.56810 − 2.40117I 0
u = −1.01749 + 1.17158I
a = −0.157789 + 0.896574I
b = −1.01810 + 1.06978I
1.80342 − 10.10880I 0
u = −1.01749 − 1.17158I
a = −0.157789 − 0.896574I
b = −1.01810 − 1.06978I
1.80342 + 10.10880I 0
u = 1.02419 + 1.17278I
a = 0.161045 − 0.813632I
b = −0.505269 − 0.911045I
−5.53959 + 4.24432I 0
u = 1.02419 − 1.17278I
a = 0.161045 + 0.813632I
b = −0.505269 + 0.911045I
−5.53959 − 4.24432I 0
u = 0.73738 + 1.37374I
a = 0.418959 + 0.502749I
b = 1.231200 + 0.317671I
−3.11688 + 9.06197I 0
u = 0.73738 − 1.37374I
a = 0.418959 − 0.502749I
b = 1.231200 − 0.317671I
−3.11688 − 9.06197I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.98429 + 1.21452I
a = 0.117221 + 0.853768I
b = 1.26647 + 0.95703I
−4.09209 + 9.61861I 0
u = 0.98429 − 1.21452I
a = 0.117221 − 0.853768I
b = 1.26647 − 0.95703I
−4.09209 − 9.61861I 0
u = 0.80452 + 1.34400I
a = 0.352611 + 0.728207I
b = 0.837666 + 0.928145I
−4.51389 + 2.39133I 0
u = 0.80452 − 1.34400I
a = 0.352611 − 0.728207I
b = 0.837666 − 0.928145I
−4.51389 − 2.39133I 0
u = −1.01473 + 1.20229I
a = 0.127318 − 0.997154I
b = 1.23602 − 1.24127I
−7.4529 − 21.2081I 0
u = −1.01473 − 1.20229I
a = 0.127318 + 0.997154I
b = 1.23602 + 1.24127I
−7.4529 + 21.2081I 0
u = 0.99894 + 1.25916I
a = −0.214915 − 0.887162I
b = −1.16866 − 1.08179I
−2.0669 + 14.6869I 0
u = 0.99894 − 1.25916I
a = −0.214915 + 0.887162I
b = −1.16866 + 1.08179I
−2.0669 − 14.6869I 0
u = 1.64908 + 0.12188I
a = −0.456420 − 0.176140I
b = 0.842311 + 0.617996I
−4.04903 + 3.16400I 0
u = 1.64908 − 0.12188I
a = −0.456420 + 0.176140I
b = 0.842311 − 0.617996I
−4.04903 − 3.16400I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.16347 + 1.24172I
a = 0.173722 + 0.631745I
b = −0.750482 + 0.923280I
−10.6686 − 11.3890I 0
u = −1.16347 − 1.24172I
a = 0.173722 − 0.631745I
b = −0.750482 − 0.923280I
−10.6686 + 11.3890I 0
u = 1.31919 + 1.07626I
a = −0.286218 + 0.311474I
b = 0.809532 + 0.781772I
−3.95592 + 3.06340I 0
u = 1.31919 − 1.07626I
a = −0.286218 − 0.311474I
b = 0.809532 − 0.781772I
−3.95592 − 3.06340I 0
u = 0.182370 + 0.233220I
a = 1.23090 + 1.97467I
b = −1.40847 + 0.75399I
2.49013 + 2.24099I 6.18370 − 9.30392I
u = 0.182370 − 0.233220I
a = 1.23090 − 1.97467I
b = −1.40847 − 0.75399I
2.49013 − 2.24099I 6.18370 + 9.30392I
u = 0.172317 + 0.187819I
a = 0.36789 + 3.17819I
b = 1.54391 + 0.16825I
−3.78763 + 6.76219I −3.56872 − 8.68344I
u = 0.172317 − 0.187819I
a = 0.36789 − 3.17819I
b = 1.54391 − 0.16825I
−3.78763 − 6.76219I −3.56872 + 8.68344I
u = −1.61096 + 0.69342I
a = 0.192523 − 0.286265I
b = 0.246441 + 0.081996I
3.08978 + 1.53467I 0
u = −1.61096 − 0.69342I
a = 0.192523 + 0.286265I
b = 0.246441 − 0.081996I
3.08978 − 1.53467I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.68700 + 0.47964I
a = 0.181687 + 0.370205I
b = 0.360279 − 0.197178I
0.02044 − 5.93764I 0
u = 1.68700 − 0.47964I
a = 0.181687 − 0.370205I
b = 0.360279 + 0.197178I
0.02044 + 5.93764I 0
u = 0.170839
a = 5.58453
b = 0.289563
−1.24966 −10.2960
u = 1.50567 + 1.04477I
a = −0.346130 − 0.089351I
b = −0.378999 + 0.380499I
−1.01707 − 6.86063I 0
u = 1.50567 − 1.04477I
a = −0.346130 + 0.089351I
b = −0.378999 − 0.380499I
−1.01707 + 6.86063I 0
u = −0.056909 + 0.155543I
a = −5.47241 + 0.37836I
b = 1.274970 + 0.364572I
−0.47856 + 2.22846I 2.42840 − 3.11107I
u = −0.056909 − 0.155543I
a = −5.47241 − 0.37836I
b = 1.274970 − 0.364572I
−0.47856 − 2.22846I 2.42840 + 3.11107I
u = −1.63538 + 0.85906I
a = 0.231981 − 0.303256I
b = 0.614714 + 0.812521I
−5.13177 + 1.77890I 0
u = −1.63538 − 0.85906I
a = 0.231981 + 0.303256I
b = 0.614714 − 0.812521I
−5.13177 − 1.77890I 0
u = −1.59465 + 0.94710I
a = −0.364852 + 0.179835I
b = −0.404554 − 0.558521I
−6.23221 + 12.55560I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.59465 − 0.94710I
a = −0.364852 − 0.179835I
b = −0.404554 + 0.558521I
−6.23221 − 12.55560I 0
u = −1.27168 + 1.35830I
a = 0.145026 − 0.520039I
b = 0.735775 − 0.935018I
−6.58760 − 5.34574I 0
u = −1.27168 − 1.35830I
a = 0.145026 + 0.520039I
b = 0.735775 + 0.935018I
−6.58760 + 5.34574I 0
u = −0.1348440 + 0.0119762I
a = −11.38340 + 0.61349I
b = −0.260317 − 0.551233I
−4.41798 + 1.27138I −2.89568 + 3.39719I
u = −0.1348440 − 0.0119762I
a = −11.38340 − 0.61349I
b = −0.260317 + 0.551233I
−4.41798 − 1.27138I −2.89568 − 3.39719I
u = −0.65906 + 1.92965I
a = −0.1321600 + 0.0461246I
b = −0.902122 − 0.078844I
−0.119207 + 0.278577I 0
u = −0.65906 − 1.92965I
a = −0.1321600 − 0.0461246I
b = −0.902122 + 0.078844I
−0.119207 − 0.278577I 0
u = −2.80675
a = 0.122533
b = −0.814512
−0.276204 0
22
II. I
u
2
=
h8.62×10
50
u
36
−4.71×10
51
u
35
+· · ·+1.83×10
52
b+2.17×10
52
, 1.72×10
53
u
36
+
7.10 × 10
53
u
35
+ · · · + 5.48 × 10
52
a − 3.28 × 10
53
, u
37
+ 4u
36
+ · · · − 6u
2
− 1i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
3
=
−3.13824u
36
− 12.9609u
35
+ ··· + 12.1785u + 5.97682
−0.0472032u
36
+ 0.258037u
35
+ ··· + 1.95699u − 1.18659
a
11
=
1
−u
2
a
4
=
−3.85181u
36
− 16.2544u
35
+ ··· + 13.3597u + 7.57133
−0.0988303u
36
+ 0.000956303u
35
+ ··· + 2.67057u − 0.747385
a
2
=
−3.09103u
36
− 13.2189u
35
+ ··· + 10.2215u + 7.16342
−0.0472032u
36
+ 0.258037u
35
+ ··· + 1.95699u − 1.18659
a
8
=
−5.99990u
36
− 22.1070u
35
+ ··· + 36.9602u − 10.4819
0.0953428u
36
+ 0.333449u
35
+ ··· + 1.41828u + 2.24592
a
1
=
4.43211u
36
+ 16.7516u
35
+ ··· − 27.9725u + 2.60608
0.0464231u
36
+ 0.471654u
35
+ ··· + 0.486977u − 0.950816
a
6
=
−6.45324u
36
− 23.9157u
35
+ ··· + 39.6737u − 6.94407
−0.548680u
36
− 2.14212u
35
+ ··· + 3.29521u + 1.29192
a
12
=
−6.98278u
36
− 29.0214u
35
+ ··· + 37.3633u + 11.4932
1.43570u
36
+ 5.38450u
35
+ ··· − 6.83067u + 2.10323
a
5
=
−7.56475u
36
− 26.2630u
35
+ ··· + 58.5986u − 15.2706
−0.926767u
36
− 3.95134u
35
+ ··· + 0.655775u + 0.855731
a
9
=
1.00659u
36
− 0.389871u
35
+ ··· − 22.0726u + 26.7971
−0.0952498u
36
− 0.387269u
35
+ ··· − 1.17945u − 2.03035
(ii) Obstruction class = 1
(iii) Cusp Shapes = 8.13280u
36
+ 32.0564u
35
+ ··· − 32.4693u + 0.268701
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
37
− 14u
36
+ ··· − 5u
2
+ 1
c
2
u
37
+ u
36
+ ··· − 10u − 1
c
3
u
37
+ u
36
+ ··· + 40u + 7
c
4
u
37
+ 5u
36
+ ··· − 18u − 9
c
5
u
37
+ 2u
36
+ ··· + 28u + 17
c
6
u
37
+ 4u
36
+ ··· + 6u + 1
c
7
u
37
+ 6u
36
+ ··· + 160u + 29
c
8
u
37
− 5u
36
+ ··· − 18u + 9
c
9
u
37
+ 6u
36
+ ··· + 239u + 43
c
10
u
37
+ 4u
36
+ ··· − 6u
2
− 1
c
11
u
37
+ 2u
36
+ ··· + 5u − 1
c
12
u
37
− 6u
36
+ ··· + 239u − 43
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
37
+ 4y
36
+ ··· + 10y − 1
c
2
y
37
+ 29y
36
+ ··· + 16y − 1
c
3
y
37
+ 21y
36
+ ··· + 5408y − 49
c
4
, c
8
y
37
− 39y
36
+ ··· + 648y − 81
c
5
y
37
− 14y
36
+ ··· + 2756y − 289
c
6
y
37
+ 6y
36
+ ··· + 2y − 1
c
7
y
37
+ 26y
36
+ ··· − 18538y − 841
c
9
, c
12
y
37
+ 42y
36
+ ··· − 47197y − 1849
c
10
y
37
− 16y
36
+ ··· − 12y − 1
c
11
y
37
+ 4y
36
+ ··· − 43y − 1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.883324 + 0.531418I
a = −0.199819 − 0.949056I
b = 0.59572 − 1.35977I
−1.43525 − 6.08474I −0.83120 + 11.80184I
u = −0.883324 − 0.531418I
a = −0.199819 + 0.949056I
b = 0.59572 + 1.35977I
−1.43525 + 6.08474I −0.83120 − 11.80184I
u = −0.485303 + 0.784794I
a = −1.337920 + 0.393186I
b = −0.213522 − 0.566096I
−3.46207 + 0.91718I −12.33884 + 1.53638I
u = −0.485303 − 0.784794I
a = −1.337920 − 0.393186I
b = −0.213522 + 0.566096I
−3.46207 − 0.91718I −12.33884 − 1.53638I
u = 0.980868 + 0.492936I
a = −0.262339 − 0.271808I
b = −0.406869 − 0.868693I
2.55896 − 1.11348I 0.87712 + 3.16946I
u = 0.980868 − 0.492936I
a = −0.262339 + 0.271808I
b = −0.406869 + 0.868693I
2.55896 + 1.11348I 0.87712 − 3.16946I
u = −1.056220 + 0.316112I
a = −0.168967 − 0.585423I
b = 0.401577 − 1.265740I
−1.45043 − 5.94742I −2.93754 + 12.30570I
u = −1.056220 − 0.316112I
a = −0.168967 + 0.585423I
b = 0.401577 + 1.265740I
−1.45043 + 5.94742I −2.93754 − 12.30570I
u = 0.642568 + 0.591154I
a = 0.05681 + 1.70972I
b = 0.478865 + 0.853994I
3.74888 + 4.15391I −12.95278 − 0.01057I
u = 0.642568 − 0.591154I
a = 0.05681 − 1.70972I
b = 0.478865 − 0.853994I
3.74888 − 4.15391I −12.95278 + 0.01057I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.562884 + 0.639371I
a = 1.75878 + 0.14006I
b = 0.268371 − 0.824948I
−5.30175 − 0.97998I −5.58286 − 1.10351I
u = 0.562884 − 0.639371I
a = 1.75878 − 0.14006I
b = 0.268371 + 0.824948I
−5.30175 + 0.97998I −5.58286 + 1.10351I
u = 0.498227 + 0.635314I
a = −1.10819 − 1.16121I
b = 0.289232 + 0.021890I
−5.61162 + 2.64618I −5.06637 − 5.88097I
u = 0.498227 − 0.635314I
a = −1.10819 + 1.16121I
b = 0.289232 − 0.021890I
−5.61162 − 2.64618I −5.06637 + 5.88097I
u = 0.066896 + 0.760551I
a = −0.51889 + 1.64728I
b = −0.05742 + 2.09440I
−8.29218 + 2.11892I −9.17959 − 4.92050I
u = 0.066896 − 0.760551I
a = −0.51889 − 1.64728I
b = −0.05742 − 2.09440I
−8.29218 − 2.11892I −9.17959 + 4.92050I
u = −0.651666 + 0.229245I
a = 0.913026 + 0.161048I
b = 0.331703 − 0.847244I
−1.31023 + 5.83740I −2.31313 − 6.35202I
u = −0.651666 − 0.229245I
a = 0.913026 − 0.161048I
b = 0.331703 + 0.847244I
−1.31023 − 5.83740I −2.31313 + 6.35202I
u = 1.00766 + 0.99701I
a = −0.062594 − 1.095680I
b = −0.74088 − 1.25766I
−4.58487 + 6.99095I 0. − 10.23365I
u = 1.00766 − 0.99701I
a = −0.062594 + 1.095680I
b = −0.74088 + 1.25766I
−4.58487 − 6.99095I 0. + 10.23365I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.575562 + 0.038093I
a = 0.983149 + 0.261656I
b = −0.29995 − 1.64500I
−7.19374 + 10.97760I −7.25728 − 8.04651I
u = 0.575562 − 0.038093I
a = 0.983149 − 0.261656I
b = −0.29995 + 1.64500I
−7.19374 − 10.97760I −7.25728 + 8.04651I
u = −0.92036 + 1.12196I
a = −0.171829 + 1.095980I
b = −1.41157 + 0.94436I
−4.31065 − 11.54590I 0
u = −0.92036 − 1.12196I
a = −0.171829 − 1.095980I
b = −1.41157 − 0.94436I
−4.31065 + 11.54590I 0
u = −1.47810 + 0.20927I
a = 0.143885 + 0.439614I
b = 0.254292 + 0.213854I
−2.20730 − 5.27772I 0
u = −1.47810 − 0.20927I
a = 0.143885 − 0.439614I
b = 0.254292 − 0.213854I
−2.20730 + 5.27772I 0
u = −0.049018 + 0.466856I
a = −0.84414 − 3.19752I
b = −0.190471 − 1.345910I
−3.83554 − 0.80716I 1.33074 + 9.30187I
u = −0.049018 − 0.466856I
a = −0.84414 + 3.19752I
b = −0.190471 + 1.345910I
−3.83554 + 0.80716I 1.33074 − 9.30187I
u = −1.08274 + 1.14460I
a = 0.026944 − 0.682535I
b = 0.618450 − 1.018510I
−4.29196 − 4.27454I 0
u = −1.08274 − 1.14460I
a = 0.026944 + 0.682535I
b = 0.618450 + 1.018510I
−4.29196 + 4.27454I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.059409 + 0.403440I
a = 3.86721 + 0.12404I
b = −0.599313 − 0.275483I
−6.63357 − 4.70993I −3.41395 − 1.70812I
u = −0.059409 − 0.403440I
a = 3.86721 − 0.12404I
b = −0.599313 + 0.275483I
−6.63357 + 4.70993I −3.41395 + 1.70812I
u = 1.23558 + 1.24002I
a = 0.115342 + 0.545684I
b = 0.741579 + 1.053920I
−6.32770 + 5.45757I 0
u = 1.23558 − 1.24002I
a = 0.115342 − 0.545684I
b = 0.741579 − 1.053920I
−6.32770 − 5.45757I 0
u = 2.00321
a = 0.225353
b = −0.806085
−0.240403 0
u = −1.90571 + 0.81334I
a = −0.303136 − 0.075167I
b = 0.843244 − 0.695602I
−4.09118 − 3.05303I 0
u = −1.90571 − 0.81334I
a = −0.303136 + 0.075167I
b = 0.843244 + 0.695602I
−4.09118 + 3.05303I 0
31
III. I
u
3
= hb + 1, 4a + u + 1, u
2
− u + 2i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
3
=
−
1
4
u −
1
4
−1
a
11
=
1
−u + 2
a
4
=
−
1
4
u −
1
4
−1
a
2
=
−
1
4
u +
3
4
−1
a
8
=
1
8
u +
5
8
1
2
u −
1
2
a
1
=
−
1
2
u +
1
2
−2
a
6
=
1
8
u −
3
8
3
2
u −
1
2
a
12
=
−
1
4
u +
3
4
−1
a
5
=
−
1
8
u +
3
8
1
2
u −
3
2
a
9
=
1
4
u +
1
4
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
45
16
u −
1
16
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
8
, c
9
(u + 1)
2
c
2
, c
4
, c
12
(u − 1)
2
c
3
u
2
c
5
, c
7
2(2u
2
+ 3u + 2)
c
6
2(2u
2
+ u + 1)
c
10
, c
11
u
2
− u + 2
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
8
, c
9
, c
12
(y − 1)
2
c
3
y
2
c
5
, c
7
4(4y
2
− y + 4)
c
6
4(4y
2
+ 3y + 1)
c
10
, c
11
y
2
+ 3y + 4
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.50000 + 1.32288I
a = −0.375000 − 0.330719I
b = −1.00000
0 −1.46875 − 3.72059I
u = 0.50000 − 1.32288I
a = −0.375000 + 0.330719I
b = −1.00000
0 −1.46875 + 3.72059I
35
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u + 1)
2
)(u
37
− 14u
36
+ ··· − 5u
2
+ 1)
· (u
178
+ 9u
177
+ ··· + 195424u + 17789)
c
2
((u − 1)
2
)(u
37
+ u
36
+ ··· − 10u − 1)(u
178
+ 2u
177
+ ··· − 7960u − 317)
c
3
u
2
(u
37
+ u
36
+ ··· + 40u + 7)(u
178
+ 6u
176
+ ··· − 666u + 48)
c
4
((u − 1)
2
)(u
37
+ 5u
36
+ ··· − 18u − 9)(u
178
− 2u
177
+ ··· + 4446u + 507)
c
5
4(2u
2
+ 3u + 2)(u
37
+ 2u
36
+ ··· + 28u + 17)
· (2u
178
− 3u
177
+ ··· + 4565201302u − 341073574)
c
6
4(2u
2
+ u + 1)(u
37
+ 4u
36
+ ··· + 6u + 1)
· (2u
178
+ 23u
177
+ ··· + 219u − 47)
c
7
4(2u
2
+ 3u + 2)(u
37
+ 6u
36
+ ··· + 160u + 29)
· (2u
178
+ 5u
177
+ ··· + 4049302530u − 1452664970)
c
8
((u + 1)
2
)(u
37
− 5u
36
+ ··· − 18u + 9)(u
178
− 2u
177
+ ··· + 4446u + 507)
c
9
((u + 1)
2
)(u
37
+ 6u
36
+ ··· + 239u + 43)
· (u
178
− 5u
177
+ ··· + 127105u − 5687)
c
10
(u
2
− u + 2)(u
37
+ 4u
36
+ ··· − 6u
2
− 1)(u
178
− 4u
177
+ ··· + 21u − 2)
c
11
(u
2
− u + 2)(u
37
+ 2u
36
+ ··· + 5u − 1)
· (u
178
+ 15u
176
+ ··· + 9533823u − 3520214)
c
12
((u − 1)
2
)(u
37
− 6u
36
+ ··· + 239u − 43)
· (u
178
− 5u
177
+ ··· + 127105u − 5687)
36
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y − 1)
2
)(y
37
+ 4y
36
+ ··· + 10y − 1)
· (y
178
− 23y
177
+ ··· − 39074546342y + 316448521)
c
2
((y − 1)
2
)(y
37
+ 29y
36
+ ··· + 16y − 1)
· (y
178
+ 34y
177
+ ··· + 2079880y + 100489)
c
3
y
2
(y
37
+ 21y
36
+ ··· + 5408y − 49)
· (y
178
+ 12y
177
+ ··· − 194916y + 2304)
c
4
, c
8
((y − 1)
2
)(y
37
− 39y
36
+ ··· + 648y − 81)
· (y
178
− 150y
177
+ ··· − 14609712y + 257049)
c
5
16(4y
2
− y + 4)(y
37
− 14y
36
+ ··· + 2756y − 289)
· (4y
178
− 237y
177
+ ··· − 8.58 × 10
18
y + 1.16 × 10
17
)
c
6
16(4y
2
+ 3y + 1)(y
37
+ 6y
36
+ ··· + 2y − 1)
· (4y
178
+ 71y
177
+ ··· + 137783y + 2209)
c
7
16(4y
2
− y + 4)(y
37
+ 26y
36
+ ··· − 18538y − 841)
· (4y
178
+ 355y
177
+ ··· − 6.10 × 10
19
y + 2.11 × 10
18
)
c
9
, c
12
((y − 1)
2
)(y
37
+ 42y
36
+ ··· − 47197y − 1849)
· (y
178
+ 143y
177
+ ··· − 4213128887y + 32341969)
c
10
(y
2
+ 3y + 4)(y
37
− 16y
36
+ ··· − 12y − 1)(y
178
+ 6y
177
+ ··· − 37y + 4)
c
11
(y
2
+ 3y + 4)(y
37
+ 4y
36
+ ··· − 43y − 1)
· (y
178
+ 30y
177
+ ··· + 1544048546344095y + 12391906605796)
37
