12a
0994
(K12a
0994
)
A knot diagram
1
Linearized knot diagam
4 6 11 1 12 10 3 5 2 7 8 9
Solving Sequence
3,7 8,10
11 4 12 6 2 1 5 9
c
7
c
10
c
3
c
11
c
6
c
2
c
1
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.33817 × 10
1959
u
183
− 1.96405 × 10
1958
u
182
+ ··· + 2.02336 × 10
1961
b + 2.47768 × 10
1961
,
− 8.13478 × 10
1960
u
183
− 1.70818 × 10
1961
u
182
+ ··· + 2.02336 × 10
1961
a + 5.65089 × 10
1961
,
u
184
+ 2u
183
+ ··· − 32u − 8i
I
u
2
= h−4.93935 × 10
75
u
40
− 8.59978 × 10
75
u
39
+ ··· + 4.56856 × 10
76
b + 4.79524 × 10
76
,
− 3.27638 × 10
75
u
40
− 7.74862 × 10
75
u
39
+ ··· + 4.56856 × 10
76
a − 3.80076 × 10
76
, u
41
+ u
40
+ ··· − 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 225 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
= h1.34 × 10
1959
u
183
− 1.96 × 10
1958
u
182
+ · · · + 2.02 × 10
1961
b + 2.48 ×
10
1961
, −8.13 × 10
1960
u
183
− 1.71 × 10
1961
u
182
+ · · · + 2.02 × 10
1961
a +
5.65 × 10
1961
, u
184
+ 2u
183
+ · · · − 32u − 8i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
10
=
0.402044u
183
+ 0.844233u
182
+ ··· − 58.9819u − 2.79283
−0.00661362u
183
+ 0.000970690u
182
+ ··· − 10.3979u − 1.22454
a
11
=
0.408658u
183
+ 0.843262u
182
+ ··· − 48.5839u − 1.56829
−0.00661362u
183
+ 0.000970690u
182
+ ··· − 10.3979u − 1.22454
a
4
=
0.909896u
183
+ 1.64149u
182
+ ··· + 37.2159u + 22.6886
0.0281559u
183
+ 0.0967861u
182
+ ··· − 29.2844u − 4.80104
a
12
=
0.376358u
183
+ 0.787522u
182
+ ··· − 54.8823u − 2.58526
−0.00972317u
183
− 0.00502116u
182
+ ··· − 10.4230u − 1.29541
a
6
=
−0.606016u
183
− 1.21272u
182
+ ··· + 43.5390u − 6.41960
−0.00588665u
183
− 0.0406161u
182
+ ··· + 25.4824u + 3.66070
a
2
=
0.679492u
183
+ 1.20486u
182
+ ··· + 85.5928u + 29.0130
0.0772370u
183
+ 0.214338u
182
+ ··· − 56.0102u − 7.17148
a
1
=
0.691163u
183
+ 1.45581u
182
+ ··· − 107.276u − 9.74903
−0.0285364u
183
− 0.0493336u
182
+ ··· − 1.23104u − 1.31987
a
5
=
0.240499u
183
+ 0.501494u
182
+ ··· − 91.1375u − 10.7023
−0.134023u
183
− 0.272513u
182
+ ··· + 10.9558u − 1.47174
a
9
=
−0.196908u
183
− 0.429208u
182
+ ··· + 84.6171u + 10.1386
0.106995u
183
+ 0.213012u
182
+ ··· − 0.961589u + 1.44937
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.577315u
183
− 1.24671u
182
+ ··· + 169.482u + 12.5623
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
184
+ 9u
183
+ ··· + 7757548u + 603055
c
2
u
184
− 5u
183
+ ··· − 76590u − 11783
c
3
u
184
− 2u
183
+ ··· − 56849u − 15319
c
5
u
184
+ 6u
183
+ ··· + 50u + 1
c
6
, c
10
u
184
− u
183
+ ··· + 4833u + 181
c
7
u
184
− 2u
183
+ ··· + 32u − 8
c
8
u
184
+ 10u
183
+ ··· + 1097072u + 93376
c
9
u
184
− 3u
183
+ ··· + 65011712u − 164626432
c
11
u
184
+ 3u
183
+ ··· + 2982702u − 149351
c
12
u
184
+ 8u
183
+ ··· + 5u − 7
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
184
+ 133y
183
+ ··· + 18491955281616y + 363675333025
c
2
y
184
+ 45y
183
+ ··· − 4030990812y + 138839089
c
3
y
184
− 14y
183
+ ··· − 14728626387y + 234671761
c
5
y
184
+ 10y
183
+ ··· + 8y + 1
c
6
, c
10
y
184
− 135y
183
+ ··· − 656145y + 32761
c
7
y
184
+ 16y
183
+ ··· + 5856y + 64
c
8
y
184
+ 60y
183
+ ··· + 215273876736y + 8719077376
c
9
y
184
− 59y
183
+ ··· − 2337403390977376256y + 27101862113050624
c
11
y
184
− 57y
183
+ ··· − 4254754725390y + 22305721201
c
12
y
184
+ 36y
183
+ ··· + 8655y + 49
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.398532 + 0.916383I
a = 0.785014 − 0.120928I
b = 0.557623 + 0.673511I
−0.23680 − 1.56240I 0
u = −0.398532 − 0.916383I
a = 0.785014 + 0.120928I
b = 0.557623 − 0.673511I
−0.23680 + 1.56240I 0
u = 0.897408 + 0.459546I
a = −0.627805 + 0.309171I
b = −0.412591 − 0.769997I
5.82894 + 1.42303I 0
u = 0.897408 − 0.459546I
a = −0.627805 − 0.309171I
b = −0.412591 + 0.769997I
5.82894 − 1.42303I 0
u = 0.298894 + 0.984405I
a = 1.031340 + 0.101557I
b = 1.31351 − 0.60603I
−0.946518 + 0.944802I 0
u = 0.298894 − 0.984405I
a = 1.031340 − 0.101557I
b = 1.31351 + 0.60603I
−0.946518 − 0.944802I 0
u = 0.849668 + 0.452894I
a = −0.139637 − 0.057718I
b = −0.166218 + 1.219360I
6.01977 + 6.06907I 0
u = 0.849668 − 0.452894I
a = −0.139637 + 0.057718I
b = −0.166218 − 1.219360I
6.01977 − 6.06907I 0
u = 0.830292 + 0.634652I
a = −0.281349 + 0.197584I
b = 0.035685 − 0.891003I
2.23362 + 4.89726I 0
u = 0.830292 − 0.634652I
a = −0.281349 − 0.197584I
b = 0.035685 + 0.891003I
2.23362 − 4.89726I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.010930 + 0.330351I
a = 0.126041 + 0.134588I
b = −0.184614 − 0.742315I
3.28588 − 0.37617I 0
u = −1.010930 − 0.330351I
a = 0.126041 − 0.134588I
b = −0.184614 + 0.742315I
3.28588 + 0.37617I 0
u = 0.337034 + 1.011380I
a = 2.40765 + 1.44406I
b = 1.154390 + 0.008693I
−4.48766 + 3.74982I 0
u = 0.337034 − 1.011380I
a = 2.40765 − 1.44406I
b = 1.154390 − 0.008693I
−4.48766 − 3.74982I 0
u = 0.832593 + 0.666617I
a = −0.056383 − 0.210245I
b = 0.051038 − 1.161020I
2.00870 + 6.75233I 0
u = 0.832593 − 0.666617I
a = −0.056383 + 0.210245I
b = 0.051038 + 1.161020I
2.00870 − 6.75233I 0
u = 0.516405 + 0.937733I
a = −1.63067 − 1.25127I
b = −1.194970 + 0.110539I
−4.57566 + 3.11768I 0
u = 0.516405 − 0.937733I
a = −1.63067 + 1.25127I
b = −1.194970 − 0.110539I
−4.57566 − 3.11768I 0
u = −0.051085 + 1.070130I
a = 1.131240 − 0.042258I
b = 1.47863 + 0.29226I
−1.117440 − 0.382928I 0
u = −0.051085 − 1.070130I
a = 1.131240 + 0.042258I
b = 1.47863 − 0.29226I
−1.117440 + 0.382928I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.703015 + 0.605177I
a = −1.47279 − 0.06577I
b = −1.51548 + 0.17544I
0.08517 + 2.02897I 0
u = 0.703015 − 0.605177I
a = −1.47279 + 0.06577I
b = −1.51548 − 0.17544I
0.08517 − 2.02897I 0
u = −0.266883 + 1.041840I
a = −1.165600 − 0.427148I
b = −0.008341 − 0.191902I
3.28348 + 9.92691I 0
u = −0.266883 − 1.041840I
a = −1.165600 + 0.427148I
b = −0.008341 + 0.191902I
3.28348 − 9.92691I 0
u = −1.047360 + 0.301410I
a = 0.555725 + 0.754541I
b = −1.027740 − 0.130696I
2.71365 − 3.62929I 0
u = −1.047360 − 0.301410I
a = 0.555725 − 0.754541I
b = −1.027740 + 0.130696I
2.71365 + 3.62929I 0
u = 0.605933 + 0.675997I
a = 0.668612 − 0.169770I
b = 0.130739 − 0.967364I
0.27700 + 2.24476I 0
u = 0.605933 − 0.675997I
a = 0.668612 + 0.169770I
b = 0.130739 + 0.967364I
0.27700 − 2.24476I 0
u = 0.196547 + 1.085000I
a = −0.631443 + 0.349993I
b = 0.110774 + 0.103986I
−1.66775 − 4.06654I 0
u = 0.196547 − 1.085000I
a = −0.631443 − 0.349993I
b = 0.110774 − 0.103986I
−1.66775 + 4.06654I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.891760 + 0.075608I
a = −1.31320 − 0.63702I
b = 0.582846 + 0.482472I
3.46128 + 7.68118I 0
u = 0.891760 − 0.075608I
a = −1.31320 + 0.63702I
b = 0.582846 − 0.482472I
3.46128 − 7.68118I 0
u = −0.886297 + 0.000804I
a = −1.026060 − 0.462780I
b = 0.201417 + 0.588623I
0.01678 + 2.78559I 0
u = −0.886297 − 0.000804I
a = −1.026060 + 0.462780I
b = 0.201417 − 0.588623I
0.01678 − 2.78559I 0
u = −0.121764 + 0.876997I
a = 1.51246 − 0.09532I
b = 1.37882 + 0.73101I
−2.36077 − 4.99704I 0
u = −0.121764 − 0.876997I
a = 1.51246 + 0.09532I
b = 1.37882 − 0.73101I
−2.36077 + 4.99704I 0
u = −0.778597 + 0.806294I
a = 0.062158 − 0.127750I
b = −0.019709 + 1.204560I
4.44786 − 5.71233I 0
u = −0.778597 − 0.806294I
a = 0.062158 + 0.127750I
b = −0.019709 − 1.204560I
4.44786 + 5.71233I 0
u = 0.015540 + 1.122230I
a = 0.858551 − 0.531898I
b = 0.476538 − 0.028187I
−0.26773 − 1.84738I 0
u = 0.015540 − 1.122230I
a = 0.858551 + 0.531898I
b = 0.476538 + 0.028187I
−0.26773 + 1.84738I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.545110 + 0.682495I
a = 1.31688 − 2.91427I
b = 1.169560 + 0.098818I
0.06234 − 10.27370I 0
u = −0.545110 − 0.682495I
a = 1.31688 + 2.91427I
b = 1.169560 − 0.098818I
0.06234 + 10.27370I 0
u = −0.805429 + 0.337764I
a = 0.712046 + 0.290955I
b = −0.168680 + 0.467849I
1.49078 − 2.37157I 0
u = −0.805429 − 0.337764I
a = 0.712046 − 0.290955I
b = −0.168680 − 0.467849I
1.49078 + 2.37157I 0
u = 0.259003 + 1.098530I
a = −2.44638 − 0.26179I
b = −1.204840 + 0.097214I
−4.81813 + 3.54092I 0
u = 0.259003 − 1.098530I
a = −2.44638 + 0.26179I
b = −1.204840 − 0.097214I
−4.81813 − 3.54092I 0
u = −0.904767 + 0.680947I
a = 0.152537 + 0.064743I
b = 0.126779 + 0.899993I
0.53205 − 3.40253I 0
u = −0.904767 − 0.680947I
a = 0.152537 − 0.064743I
b = 0.126779 − 0.899993I
0.53205 + 3.40253I 0
u = −0.737049 + 0.866160I
a = −1.62236 + 1.04918I
b = −1.33585 − 0.48952I
−4.13558 − 7.41052I 0
u = −0.737049 − 0.866160I
a = −1.62236 − 1.04918I
b = −1.33585 + 0.48952I
−4.13558 + 7.41052I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.861917 + 0.020483I
a = 0.507938 − 1.159490I
b = −0.855309 + 0.617488I
4.17495 + 2.83509I 0
u = 0.861917 − 0.020483I
a = 0.507938 + 1.159490I
b = −0.855309 − 0.617488I
4.17495 − 2.83509I 0
u = 0.698010 + 0.914119I
a = 1.25843 + 0.66159I
b = 1.40459 − 0.52910I
−7.29172 + 4.34278I 0
u = 0.698010 − 0.914119I
a = 1.25843 − 0.66159I
b = 1.40459 + 0.52910I
−7.29172 − 4.34278I 0
u = 1.097490 + 0.346972I
a = 0.598985 − 0.604483I
b = −1.035560 − 0.088161I
2.33722 + 3.76651I 0
u = 1.097490 − 0.346972I
a = 0.598985 + 0.604483I
b = −1.035560 + 0.088161I
2.33722 − 3.76651I 0
u = 0.624752 + 0.565897I
a = 0.002377 + 0.640388I
b = 0.390184 − 0.996069I
2.44954 + 5.22338I 0
u = 0.624752 − 0.565897I
a = 0.002377 − 0.640388I
b = 0.390184 + 0.996069I
2.44954 − 5.22338I 0
u = 0.531859 + 0.638000I
a = 1.294630 + 0.194096I
b = 1.005580 + 0.318817I
−1.82460 − 0.71951I 0
u = 0.531859 − 0.638000I
a = 1.294630 − 0.194096I
b = 1.005580 − 0.318817I
−1.82460 + 0.71951I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.959372 + 0.723490I
a = −0.0676472 − 0.0413248I
b = −0.195703 + 1.013110I
0.45272 + 9.53996I 0
u = 0.959372 − 0.723490I
a = −0.0676472 + 0.0413248I
b = −0.195703 − 1.013110I
0.45272 − 9.53996I 0
u = −0.916503 + 0.785644I
a = −0.0628267 − 0.0420404I
b = −0.071475 − 1.172600I
4.7169 − 15.4581I 0
u = −0.916503 − 0.785644I
a = −0.0628267 + 0.0420404I
b = −0.071475 + 1.172600I
4.7169 + 15.4581I 0
u = −0.736525 + 0.290416I
a = −0.421797 + 0.600174I
b = −0.898959 − 0.836872I
3.76757 − 1.23872I 0
u = −0.736525 − 0.290416I
a = −0.421797 − 0.600174I
b = −0.898959 + 0.836872I
3.76757 + 1.23872I 0
u = 0.988218 + 0.703700I
a = 0.049491 + 0.274129I
b = −0.299874 − 0.751364I
6.05067 + 2.52150I 0
u = 0.988218 − 0.703700I
a = 0.049491 − 0.274129I
b = −0.299874 + 0.751364I
6.05067 − 2.52150I 0
u = −0.710072 + 0.338872I
a = −0.34431 − 1.55143I
b = 0.858017 + 0.661826I
3.19911 − 1.53491I 0
u = −0.710072 − 0.338872I
a = −0.34431 + 1.55143I
b = 0.858017 − 0.661826I
3.19911 + 1.53491I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.715928 + 0.323788I
a = 1.290550 − 0.327397I
b = 0.285313 + 0.035210I
−1.68974 − 0.10640I 0
u = 0.715928 − 0.323788I
a = 1.290550 + 0.327397I
b = 0.285313 − 0.035210I
−1.68974 + 0.10640I 0
u = −0.228365 + 0.750562I
a = 0.606237 − 0.352290I
b = 0.117797 + 0.502561I
−0.42340 − 1.47933I 0
u = −0.228365 − 0.750562I
a = 0.606237 + 0.352290I
b = 0.117797 − 0.502561I
−0.42340 + 1.47933I 0
u = 1.128320 + 0.512050I
a = 0.118242 + 0.101302I
b = 0.232243 + 0.826070I
7.78773 − 3.98271I 0
u = 1.128320 − 0.512050I
a = 0.118242 − 0.101302I
b = 0.232243 − 0.826070I
7.78773 + 3.98271I 0
u = −0.476060 + 0.593147I
a = −0.246447 + 1.375760I
b = 0.346921 + 0.064092I
3.35745 − 3.14179I 0
u = −0.476060 − 0.593147I
a = −0.246447 − 1.375760I
b = 0.346921 − 0.064092I
3.35745 + 3.14179I 0
u = −0.966318 + 0.784257I
a = −0.538912 + 0.161230I
b = −0.453512 + 0.842526I
6.22020 − 6.70986I 0
u = −0.966318 − 0.784257I
a = −0.538912 − 0.161230I
b = −0.453512 − 0.842526I
6.22020 + 6.70986I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.046650 + 0.747661I
a = −0.293826 − 0.026967I
b = −0.189595 + 1.242260I
−0.06652 − 5.81035I 0
u = −0.046650 − 0.747661I
a = −0.293826 + 0.026967I
b = −0.189595 − 1.242260I
−0.06652 + 5.81035I 0
u = 0.790585 + 0.984324I
a = −1.31999 − 0.85520I
b = −1.304400 + 0.411082I
−4.71008 + 5.42330I 0
u = 0.790585 − 0.984324I
a = −1.31999 + 0.85520I
b = −1.304400 − 0.411082I
−4.71008 − 5.42330I 0
u = 0.731525
a = 0.633100
b = 1.30029
−2.25377 0
u = −0.646477 + 0.310260I
a = −1.264220 + 0.195739I
b = −1.64023 − 0.48319I
1.59071 − 8.36716I 0
u = −0.646477 − 0.310260I
a = −1.264220 − 0.195739I
b = −1.64023 + 0.48319I
1.59071 + 8.36716I 0
u = 0.059506 + 0.695828I
a = −2.75378 + 0.92260I
b = −1.146140 + 0.247401I
−1.36546 + 5.27197I 0
u = 0.059506 − 0.695828I
a = −2.75378 − 0.92260I
b = −1.146140 − 0.247401I
−1.36546 − 5.27197I 0
u = −0.470447 + 0.514755I
a = 1.50924 + 0.14994I
b = 0.159231 − 0.500270I
2.00104 + 3.64552I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.470447 − 0.514755I
a = 1.50924 − 0.14994I
b = 0.159231 + 0.500270I
2.00104 − 3.64552I 0
u = −0.592162 + 1.161530I
a = −1.38060 + 0.33366I
b = −1.40147 − 0.47924I
−7.72751 − 7.65487I 0
u = −0.592162 − 1.161530I
a = −1.38060 − 0.33366I
b = −1.40147 + 0.47924I
−7.72751 + 7.65487I 0
u = −0.688075 + 1.118340I
a = 0.566015 + 0.029076I
b = 0.289407 + 0.217624I
−0.73504 − 2.34558I 0
u = −0.688075 − 1.118340I
a = 0.566015 − 0.029076I
b = 0.289407 − 0.217624I
−0.73504 + 2.34558I 0
u = 0.049071 + 0.669034I
a = 1.93072 − 0.23507I
b = 1.55883 − 0.55179I
−3.46968 + 4.30379I −96.2091 + 0.I
u = 0.049071 − 0.669034I
a = 1.93072 + 0.23507I
b = 1.55883 + 0.55179I
−3.46968 − 4.30379I −96.2091 + 0.I
u = −0.981342 + 0.907823I
a = −1.41173 + 0.97590I
b = −1.113270 − 0.394068I
3.54599 − 6.76733I 0
u = −0.981342 − 0.907823I
a = −1.41173 − 0.97590I
b = −1.113270 + 0.394068I
3.54599 + 6.76733I 0
u = −0.733268 + 1.163820I
a = 1.162370 − 0.534365I
b = 1.40557 + 0.40488I
−5.52480 + 0.42426I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.733268 − 1.163820I
a = 1.162370 + 0.534365I
b = 1.40557 − 0.40488I
−5.52480 − 0.42426I 0
u = −1.148660 + 0.802136I
a = 0.091082 + 0.138647I
b = 0.025781 − 0.517437I
5.10316 − 3.12038I 0
u = −1.148660 − 0.802136I
a = 0.091082 − 0.138647I
b = 0.025781 + 0.517437I
5.10316 + 3.12038I 0
u = 0.629273 + 1.261350I
a = −1.223420 − 0.355305I
b = −1.38288 + 0.58527I
−4.10980 + 12.24850I 0
u = 0.629273 − 1.261350I
a = −1.223420 + 0.355305I
b = −1.38288 − 0.58527I
−4.10980 − 12.24850I 0
u = −1.12153 + 0.92223I
a = 1.235000 − 0.566340I
b = 1.42495 + 0.53827I
1.10386 − 12.16520I 0
u = −1.12153 − 0.92223I
a = 1.235000 + 0.566340I
b = 1.42495 − 0.53827I
1.10386 + 12.16520I 0
u = −0.531692 + 0.085783I
a = 0.49171 − 2.60528I
b = −0.708372 + 0.478274I
4.54855 + 1.73005I 4.78882 − 2.62703I
u = −0.531692 − 0.085783I
a = 0.49171 + 2.60528I
b = −0.708372 − 0.478274I
4.54855 − 1.73005I 4.78882 + 2.62703I
u = 0.398516 + 0.308197I
a = 0.80528 − 2.49181I
b = −1.207780 − 0.005106I
−5.78802 + 0.12125I −16.5390 + 0.3283I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.398516 − 0.308197I
a = 0.80528 + 2.49181I
b = −1.207780 + 0.005106I
−5.78802 − 0.12125I −16.5390 − 0.3283I
u = 0.147904 + 0.474281I
a = 1.16644 + 2.37382I
b = −0.399341 − 0.175224I
4.15868 + 1.90596I 1.42501 + 0.I
u = 0.147904 − 0.474281I
a = 1.16644 − 2.37382I
b = −0.399341 + 0.175224I
4.15868 − 1.90596I 1.42501 + 0.I
u = 0.377553 + 0.314072I
a = −2.94383 − 0.75910I
b = −1.007100 + 0.214256I
0.73945 + 3.04980I 0. − 5.16156I
u = 0.377553 − 0.314072I
a = −2.94383 + 0.75910I
b = −1.007100 − 0.214256I
0.73945 − 3.04980I 0. + 5.16156I
u = 0.053276 + 0.483980I
a = −0.257790 − 0.218325I
b = 0.137027 − 1.281550I
−2.73363 + 1.91671I −20.2242 − 3.0082I
u = 0.053276 − 0.483980I
a = −0.257790 + 0.218325I
b = 0.137027 + 1.281550I
−2.73363 − 1.91671I −20.2242 + 3.0082I
u = 0.094118 + 0.471999I
a = −1.217070 + 0.279943I
b = −1.74847 − 0.65148I
0.27100 + 8.44556I −19.5621 − 14.1545I
u = 0.094118 − 0.471999I
a = −1.217070 − 0.279943I
b = −1.74847 + 0.65148I
0.27100 − 8.44556I −19.5621 + 14.1545I
u = 0.00801 + 1.51976I
a = −1.45105 + 0.25506I
b = −1.255850 + 0.208162I
−1.13864 + 4.96027I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.00801 − 1.51976I
a = −1.45105 − 0.25506I
b = −1.255850 − 0.208162I
−1.13864 − 4.96027I 0
u = −0.298262 + 0.357644I
a = −4.19303 − 1.58237I
b = −0.792051 − 0.102220I
3.11103 − 4.69436I −5.21595 + 5.30224I
u = −0.298262 − 0.357644I
a = −4.19303 + 1.58237I
b = −0.792051 + 0.102220I
3.11103 + 4.69436I −5.21595 − 5.30224I
u = −1.03298 + 1.13785I
a = 1.43947 − 0.34908I
b = 1.143670 + 0.437671I
4.97773 − 0.60029I 0
u = −1.03298 − 1.13785I
a = 1.43947 + 0.34908I
b = 1.143670 − 0.437671I
4.97773 + 0.60029I 0
u = −1.22549 + 0.98099I
a = −0.898985 + 0.515775I
b = −1.064590 − 0.391299I
3.81401 − 5.72754I 0
u = −1.22549 − 0.98099I
a = −0.898985 − 0.515775I
b = −1.064590 + 0.391299I
3.81401 + 5.72754I 0
u = 1.01546 + 1.20413I
a = −1.45789 − 0.48519I
b = −1.34904 + 0.43718I
−4.03711 + 8.23025I 0
u = 1.01546 − 1.20413I
a = −1.45789 + 0.48519I
b = −1.34904 − 0.43718I
−4.03711 − 8.23025I 0
u = −0.369648 + 0.146048I
a = 2.95066 + 0.97947I
b = −1.181070 − 0.213454I
−1.71531 − 6.19808I −9.00109 + 7.27542I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.369648 − 0.146048I
a = 2.95066 − 0.97947I
b = −1.181070 + 0.213454I
−1.71531 + 6.19808I −9.00109 − 7.27542I
u = 1.22543 + 1.03518I
a = 1.250200 + 0.431573I
b = 1.37954 − 0.38480I
−1.68526 + 4.60229I 0
u = 1.22543 − 1.03518I
a = 1.250200 − 0.431573I
b = 1.37954 + 0.38480I
−1.68526 − 4.60229I 0
u = −0.217123 + 0.330154I
a = −1.019880 − 0.390073I
b = −1.31613 + 1.06000I
−2.19273 − 3.05751I −10.5408 + 24.4770I
u = −0.217123 − 0.330154I
a = −1.019880 + 0.390073I
b = −1.31613 − 1.06000I
−2.19273 + 3.05751I −10.5408 − 24.4770I
u = 0.178503 + 0.347519I
a = 1.07461 + 1.05097I
b = 1.57364 − 0.42670I
−2.81268 − 0.22075I −18.4201 + 3.5446I
u = 0.178503 − 0.347519I
a = 1.07461 − 1.05097I
b = 1.57364 + 0.42670I
−2.81268 + 0.22075I −18.4201 − 3.5446I
u = −1.05356 + 1.21920I
a = −1.36779 + 0.38066I
b = −1.38568 − 0.53238I
−2.50308 − 12.65450I 0
u = −1.05356 − 1.21920I
a = −1.36779 − 0.38066I
b = −1.38568 + 0.53238I
−2.50308 + 12.65450I 0
u = 1.15263 + 1.13792I
a = −1.168360 − 0.583549I
b = −1.37659 + 0.55661I
0.14197 + 11.81930I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.15263 − 1.13792I
a = −1.168360 + 0.583549I
b = −1.37659 − 0.55661I
0.14197 − 11.81930I 0
u = −0.070495 + 0.345746I
a = 1.67161 − 0.96899I
b = 1.41468 + 0.79743I
−1.99275 − 2.52884I −15.4949 + 7.6108I
u = −0.070495 − 0.345746I
a = 1.67161 + 0.96899I
b = 1.41468 − 0.79743I
−1.99275 + 2.52884I −15.4949 − 7.6108I
u = 1.51051 + 0.68153I
a = 0.599385 + 0.692711I
b = 1.107420 − 0.132607I
1.21055 + 4.24992I 0
u = 1.51051 − 0.68153I
a = 0.599385 − 0.692711I
b = 1.107420 + 0.132607I
1.21055 − 4.24992I 0
u = 1.16622 + 1.19334I
a = 1.298010 + 0.511260I
b = 1.39848 − 0.53802I
0.1138 + 21.4313I 0
u = 1.16622 − 1.19334I
a = 1.298010 − 0.511260I
b = 1.39848 + 0.53802I
0.1138 − 21.4313I 0
u = −1.18201 + 1.21323I
a = −1.143320 + 0.450903I
b = −1.334240 − 0.454384I
−2.08368 − 9.78794I 0
u = −1.18201 − 1.21323I
a = −1.143320 − 0.450903I
b = −1.334240 + 0.454384I
−2.08368 + 9.78794I 0
u = −1.20924 + 1.20413I
a = 1.297040 − 0.480980I
b = 1.39635 + 0.45442I
−4.5024 − 14.7407I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.20924 − 1.20413I
a = 1.297040 + 0.480980I
b = 1.39635 − 0.45442I
−4.5024 + 14.7407I 0
u = 0.177690 + 0.218337I
a = 7.62987 + 1.10018I
b = 1.172300 − 0.214432I
−2.88564 + 5.88216I −6.92313 − 8.93041I
u = 0.177690 − 0.218337I
a = 7.62987 − 1.10018I
b = 1.172300 + 0.214432I
−2.88564 − 5.88216I −6.92313 + 8.93041I
u = −0.264026 + 0.065315I
a = 5.11648 − 9.38901I
b = 0.957893 + 0.251534I
2.53885 − 10.85040I 3.58488 + 13.38710I
u = −0.264026 − 0.065315I
a = 5.11648 + 9.38901I
b = 0.957893 − 0.251534I
2.53885 + 10.85040I 3.58488 − 13.38710I
u = 1.74524 + 0.03969I
a = −0.653256 − 0.018361I
b = −1.295340 − 0.102178I
−4.79339 + 0.59380I 0
u = 1.74524 − 0.03969I
a = −0.653256 + 0.018361I
b = −1.295340 + 0.102178I
−4.79339 − 0.59380I 0
u = 0.008492 + 0.224993I
a = −5.53724 − 0.00196I
b = 0.715887 + 0.443141I
3.53106 − 3.18395I 0.25692 + 2.63746I
u = 0.008492 − 0.224993I
a = −5.53724 + 0.00196I
b = 0.715887 − 0.443141I
3.53106 + 3.18395I 0.25692 − 2.63746I
u = 0.066309 + 0.211262I
a = −0.25708 + 3.84504I
b = 1.379470 − 0.206777I
−2.18384 − 0.63768I −9.10775 + 0.22843I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.066309 − 0.211262I
a = −0.25708 − 3.84504I
b = 1.379470 + 0.206777I
−2.18384 + 0.63768I −9.10775 − 0.22843I
u = 1.03687 + 1.54848I
a = −1.178040 − 0.220589I
b = −1.030780 + 0.438901I
4.38725 + 11.41990I 0
u = 1.03687 − 1.54848I
a = −1.178040 + 0.220589I
b = −1.030780 − 0.438901I
4.38725 − 11.41990I 0
u = 1.22596 + 1.48274I
a = 1.42953 + 0.41755I
b = 1.278760 − 0.252241I
1.16949 + 6.06490I 0
u = 1.22596 − 1.48274I
a = 1.42953 − 0.41755I
b = 1.278760 + 0.252241I
1.16949 − 6.06490I 0
u = −1.63354 + 1.07938I
a = −0.898686 + 0.278670I
b = −1.270310 − 0.148615I
−2.99355 − 8.22620I 0
u = −1.63354 − 1.07938I
a = −0.898686 − 0.278670I
b = −1.270310 + 0.148615I
−2.99355 + 8.22620I 0
u = −1.04576 + 1.75185I
a = 1.148820 − 0.475658I
b = 1.087750 − 0.103665I
−1.93555 + 2.93779I 0
u = −1.04576 − 1.75185I
a = 1.148820 + 0.475658I
b = 1.087750 + 0.103665I
−1.93555 − 2.93779I 0
u = 1.51753 + 1.56254I
a = 0.841280 + 0.194857I
b = 1.164360 + 0.117036I
0.00865 − 2.52837I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.51753 − 1.56254I
a = 0.841280 − 0.194857I
b = 1.164360 − 0.117036I
0.00865 + 2.52837I 0
u = −0.79362 + 2.04781I
a = −1.206080 + 0.214141I
b = −1.209330 + 0.044922I
−5.45377 + 4.64331I 0
u = −0.79362 − 2.04781I
a = −1.206080 − 0.214141I
b = −1.209330 − 0.044922I
−5.45377 − 4.64331I 0
u = 1.89112 + 1.25222I
a = 1.058190 + 0.207480I
b = 1.156340 − 0.011593I
−2.31937 + 1.36900I 0
u = 1.89112 − 1.25222I
a = 1.058190 − 0.207480I
b = 1.156340 + 0.011593I
−2.31937 − 1.36900I 0
u = 1.47436 + 1.74351I
a = −0.978374 − 0.249711I
b = −1.164550 − 0.178909I
0.05506 − 11.71980I 0
u = 1.47436 − 1.74351I
a = −0.978374 + 0.249711I
b = −1.164550 + 0.178909I
0.05506 + 11.71980I 0
u = −2.36198 + 0.15908I
a = 0.807230 + 0.149897I
b = 0.967379 + 0.182596I
−1.23950 − 2.39532I 0
u = −2.36198 − 0.15908I
a = 0.807230 − 0.149897I
b = 0.967379 − 0.182596I
−1.23950 + 2.39532I 0
u = −2.38507
a = 0.647735
b = 1.09123
−3.38655 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.75435 + 2.41208I
a = 1.060670 − 0.170048I
b = 1.078160 + 0.094752I
−2.74397 − 0.52612I 0
u = −0.75435 − 2.41208I
a = 1.060670 + 0.170048I
b = 1.078160 − 0.094752I
−2.74397 + 0.52612I 0
u = −0.95331 + 2.37952I
a = 1.252490 + 0.072367I
b = 0.846382 − 0.116730I
1.83541 + 2.98136I 0
u = −0.95331 − 2.37952I
a = 1.252490 − 0.072367I
b = 0.846382 + 0.116730I
1.83541 − 2.98136I 0
23
II.
I
u
2
= h−4.94×10
75
u
40
−8.60×10
75
u
39
+· · ·+4.57×10
76
b+4.80×10
76
, −3.28×
10
75
u
40
−7.75×10
75
u
39
+· · ·+4.57×10
76
a−3.80×10
76
, u
41
+u
40
+· · ·−4u+1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
10
=
0.0717158u
40
+ 0.169608u
39
+ ··· + 0.456199u + 0.831938
0.108116u
40
+ 0.188238u
39
+ ··· − 1.39819u − 1.04962
a
11
=
−0.0364003u
40
− 0.0186307u
39
+ ··· + 1.85439u + 1.88156
0.108116u
40
+ 0.188238u
39
+ ··· − 1.39819u − 1.04962
a
4
=
−0.0470201u
40
− 0.163427u
39
+ ··· − 4.26511u + 0.0958622
−0.123535u
40
− 0.0552244u
39
+ ··· + 2.02837u + 0.369993
a
12
=
0.0663998u
40
+ 0.198458u
39
+ ··· + 0.563678u + 0.814168
0.0968310u
40
+ 0.194756u
39
+ ··· − 1.75255u − 0.935328
a
6
=
0.146299u
40
+ 0.136353u
39
+ ··· + 2.52294u + 1.86089
0.516292u
40
+ 0.629881u
39
+ ··· − 0.261791u − 1.64746
a
2
=
−0.259722u
40
− 0.448118u
39
+ ··· − 5.52873u + 0.442122
−0.0809381u
40
− 0.0116675u
39
+ ··· + 2.30538u + 0.665647
a
1
=
0.256809u
40
+ 0.225752u
39
+ ··· + 0.311912u − 1.57195
−0.425659u
40
− 0.498224u
39
+ ··· − 2.23020u + 1.85234
a
5
=
0.310500u
40
+ 0.390060u
39
+ ··· + 2.49670u + 0.134544
−0.217881u
40
− 0.357757u
39
+ ··· − 1.00603u − 0.677160
a
9
=
−0.489503u
40
− 0.697005u
39
+ ··· − 0.607547u + 1.09802
0.740415u
40
+ 0.878401u
39
+ ··· + 3.76816u − 1.40627
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.495461u
40
+ 0.975948u
39
+ ··· + 15.1412u − 5.56989
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
41
− 10u
40
+ ··· + 14u − 1
c
2
u
41
+ 2u
40
+ ··· + 2u − 1
c
3
u
41
+ u
40
+ ··· − u + 1
c
4
u
41
+ 10u
40
+ ··· + 14u + 1
c
5
u
41
+ 3u
40
+ ··· − 14u + 1
c
6
u
41
+ 2u
40
+ ··· + 45u − 11
c
7
u
41
+ u
40
+ ··· − 4u + 1
c
8
u
41
+ 3u
40
+ ··· + 14u + 1
c
9
u
41
− 9u
39
+ ··· + 7u + 1
c
10
u
41
− 2u
40
+ ··· + 45u + 11
c
11
u
41
+ 4u
40
+ ··· + 2u − 1
c
12
u
41
+ 3u
40
+ ··· − 3u − 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
41
+ 38y
40
+ ··· − 16y −1
c
2
y
41
+ 26y
40
+ ··· − 20y −1
c
3
y
41
+ 3y
40
+ ··· + 11y −1
c
5
y
41
+ 7y
40
+ ··· − 56y −1
c
6
, c
10
y
41
− 34y
40
+ ··· + 1497y −121
c
7
y
41
+ 9y
40
+ ··· − 8y −1
c
8
y
41
+ 25y
40
+ ··· + 48y −1
c
9
y
41
− 18y
40
+ ··· − 27y −1
c
11
y
41
− 4y
40
+ ··· + 42y −1
c
12
y
41
+ 25y
40
+ ··· + 13y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.041258 + 1.019550I
a = 1.144080 − 0.201700I
b = 1.124620 + 0.373404I
−2.40163 − 0.68139I −12.54799 − 1.49906I
u = −0.041258 − 1.019550I
a = 1.144080 + 0.201700I
b = 1.124620 − 0.373404I
−2.40163 + 0.68139I −12.54799 + 1.49906I
u = 0.815160 + 0.505936I
a = −0.275784 + 1.201180I
b = 0.571605 − 0.333916I
4.12374 + 3.16963I 2.93313 − 5.34804I
u = 0.815160 − 0.505936I
a = −0.275784 − 1.201180I
b = 0.571605 + 0.333916I
4.12374 − 3.16963I 2.93313 + 5.34804I
u = −0.608989 + 0.740596I
a = 1.104780 − 0.263302I
b = 1.399700 + 0.135085I
−2.35096 − 0.78729I −7.63745 + 5.79750I
u = −0.608989 − 0.740596I
a = 1.104780 + 0.263302I
b = 1.399700 − 0.135085I
−2.35096 + 0.78729I −7.63745 − 5.79750I
u = −0.704922 + 0.646759I
a = −0.0842026 − 0.0754334I
b = 0.086800 + 1.199580I
3.12635 − 5.78398I 0.15308 + 10.20170I
u = −0.704922 − 0.646759I
a = −0.0842026 + 0.0754334I
b = 0.086800 − 1.199580I
3.12635 + 5.78398I 0.15308 − 10.20170I
u = −0.031828 + 0.928039I
a = −3.17670 − 0.17901I
b = −0.976724 + 0.183740I
1.88969 + 10.57570I −6.95794 − 7.96146I
u = −0.031828 − 0.928039I
a = −3.17670 + 0.17901I
b = −0.976724 − 0.183740I
1.88969 − 10.57570I −6.95794 + 7.96146I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.709890 + 0.829449I
a = 0.534455 − 0.153493I
b = 0.427211 − 0.578382I
−1.00155 + 2.47962I −14.1477 − 6.4071I
u = 0.709890 − 0.829449I
a = 0.534455 + 0.153493I
b = 0.427211 + 0.578382I
−1.00155 − 2.47962I −14.1477 + 6.4071I
u = −0.799004 + 0.212922I
a = 0.19520 + 1.55834I
b = −0.632245 − 0.575686I
4.28037 − 4.42390I 3.92795 + 6.81743I
u = −0.799004 − 0.212922I
a = 0.19520 − 1.55834I
b = −0.632245 + 0.575686I
4.28037 + 4.42390I 3.92795 − 6.81743I
u = 0.093295 + 1.174190I
a = 1.57290 + 0.25942I
b = 1.198680 + 0.353098I
−1.35706 − 4.15000I −5.13893 + 2.03456I
u = 0.093295 − 1.174190I
a = 1.57290 − 0.25942I
b = 1.198680 − 0.353098I
−1.35706 + 4.15000I −5.13893 − 2.03456I
u = −0.687580 + 0.981326I
a = −1.64669 + 0.77300I
b = −1.318870 − 0.432555I
−5.53190 − 6.58071I −10.73352 + 6.06651I
u = −0.687580 − 0.981326I
a = −1.64669 − 0.77300I
b = −1.318870 + 0.432555I
−5.53190 + 6.58071I −10.73352 − 6.06651I
u = −0.743572 + 0.185953I
a = −1.92216 − 0.27640I
b = 0.501031 + 0.290579I
4.01203 − 4.59975I 4.41694 + 5.13211I
u = −0.743572 − 0.185953I
a = −1.92216 + 0.27640I
b = 0.501031 − 0.290579I
4.01203 + 4.59975I 4.41694 − 5.13211I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.014970 + 0.790033I
a = −0.098327 + 0.295228I
b = −0.083858 − 0.526146I
4.72387 + 3.16585I −3.60207 − 7.37563I
u = 1.014970 − 0.790033I
a = −0.098327 − 0.295228I
b = −0.083858 + 0.526146I
4.72387 − 3.16585I −3.60207 + 7.37563I
u = 0.655109 + 0.129086I
a = 0.229546 − 1.343570I
b = −0.941198 + 0.743768I
3.08053 + 0.79726I −4.27735 + 5.40528I
u = 0.655109 − 0.129086I
a = 0.229546 + 1.343570I
b = −0.941198 − 0.743768I
3.08053 − 0.79726I −4.27735 − 5.40528I
u = 0.148754 + 0.634999I
a = 1.94193 + 0.20434I
b = 1.51818 − 0.67745I
−3.40806 + 4.64070I −9.7544 − 15.7914I
u = 0.148754 − 0.634999I
a = 1.94193 − 0.20434I
b = 1.51818 + 0.67745I
−3.40806 − 4.64070I −9.7544 + 15.7914I
u = 0.029493 + 1.348020I
a = −2.25856 − 0.00440I
b = −1.157660 − 0.078069I
−4.10025 − 4.71036I −7.75850 + 9.34606I
u = 0.029493 − 1.348020I
a = −2.25856 + 0.00440I
b = −1.157660 + 0.078069I
−4.10025 + 4.71036I −7.75850 − 9.34606I
u = 1.53033 + 0.29132I
a = 0.742446 − 0.175874I
b = 0.938313 − 0.314195I
−1.11164 + 2.39007I 0
u = 1.53033 − 0.29132I
a = 0.742446 + 0.175874I
b = 0.938313 + 0.314195I
−1.11164 − 2.39007I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.08315 + 1.14447I
a = −1.214600 − 0.432897I
b = −1.39467 + 0.53243I
−1.50198 + 11.75280I 0
u = 1.08315 − 1.14447I
a = −1.214600 + 0.432897I
b = −1.39467 − 0.53243I
−1.50198 − 11.75280I 0
u = −0.062527 + 0.364739I
a = 0.689090 − 0.298154I
b = −0.916261 − 0.771726I
−2.19115 + 2.72532I −8.63729 + 1.10579I
u = −0.062527 − 0.364739I
a = 0.689090 + 0.298154I
b = −0.916261 + 0.771726I
−2.19115 − 2.72532I −8.63729 − 1.10579I
u = 0.242537 + 0.182495I
a = 0.899656 + 0.583591I
b = −1.54093 + 0.18085I
0.70668 − 8.39346I −1.63861 + 8.78700I
u = 0.242537 − 0.182495I
a = 0.899656 − 0.583591I
b = −1.54093 − 0.18085I
0.70668 + 8.39346I −1.63861 − 8.78700I
u = −1.71748
a = 0.631169
b = 1.27817
−4.46938 0
u = −1.15523 + 1.45907I
a = −1.45812 + 0.45985I
b = −1.262810 − 0.250233I
1.04059 − 6.13087I 0
u = −1.15523 − 1.45907I
a = −1.45812 − 0.45985I
b = −1.262810 + 0.250233I
1.04059 + 6.13087I 0
u = −1.12905 + 2.13820I
a = 1.265490 + 0.053994I
b = 0.820001 − 0.104445I
1.85195 + 2.95947I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12905 − 2.13820I
a = 1.265490 − 0.053994I
b = 0.820001 + 0.104445I
1.85195 − 2.95947I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
41
− 10u
40
+ ··· + 14u − 1)
· (u
184
+ 9u
183
+ ··· + 7757548u + 603055)
c
2
(u
41
+ 2u
40
+ ··· + 2u − 1)(u
184
− 5u
183
+ ··· − 76590u − 11783)
c
3
(u
41
+ u
40
+ ··· − u + 1)(u
184
− 2u
183
+ ··· − 56849u − 15319)
c
4
(u
41
+ 10u
40
+ ··· + 14u + 1)
· (u
184
+ 9u
183
+ ··· + 7757548u + 603055)
c
5
(u
41
+ 3u
40
+ ··· − 14u + 1)(u
184
+ 6u
183
+ ··· + 50u + 1)
c
6
(u
41
+ 2u
40
+ ··· + 45u − 11)(u
184
− u
183
+ ··· + 4833u + 181)
c
7
(u
41
+ u
40
+ ··· − 4u + 1)(u
184
− 2u
183
+ ··· + 32u − 8)
c
8
(u
41
+ 3u
40
+ ··· + 14u + 1)(u
184
+ 10u
183
+ ··· + 1097072u + 93376)
c
9
(u
41
− 9u
39
+ ··· + 7u + 1)
· (u
184
− 3u
183
+ ··· + 65011712u − 164626432)
c
10
(u
41
− 2u
40
+ ··· + 45u + 11)(u
184
− u
183
+ ··· + 4833u + 181)
c
11
(u
41
+ 4u
40
+ ··· + 2u − 1)(u
184
+ 3u
183
+ ··· + 2982702u − 149351)
c
12
(u
41
+ 3u
40
+ ··· − 3u − 1)(u
184
+ 8u
183
+ ··· + 5u − 7)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
41
+ 38y
40
+ ··· − 16y −1)
· (y
184
+ 133y
183
+ ··· + 18491955281616y + 363675333025)
c
2
(y
41
+ 26y
40
+ ··· − 20y −1)
· (y
184
+ 45y
183
+ ··· − 4030990812y + 138839089)
c
3
(y
41
+ 3y
40
+ ··· + 11y −1)
· (y
184
− 14y
183
+ ··· − 14728626387y + 234671761)
c
5
(y
41
+ 7y
40
+ ··· − 56y −1)(y
184
+ 10y
183
+ ··· + 8y + 1)
c
6
, c
10
(y
41
− 34y
40
+ ··· + 1497y −121)
· (y
184
− 135y
183
+ ··· − 656145y + 32761)
c
7
(y
41
+ 9y
40
+ ··· − 8y −1)(y
184
+ 16y
183
+ ··· + 5856y + 64)
c
8
(y
41
+ 25y
40
+ ··· + 48y −1)
· (y
184
+ 60y
183
+ ··· + 215273876736y + 8719077376)
c
9
(y
41
− 18y
40
+ ··· − 27y −1)
· (y
184
− 59y
183
+ ··· − 2337403390977376256y + 27101862113050624)
c
11
(y
41
− 4y
40
+ ··· + 42y −1)
· (y
184
− 57y
183
+ ··· − 4254754725390y + 22305721201)
c
12
(y
41
+ 25y
40
+ ··· + 13y −1)(y
184
+ 36y
183
+ ··· + 8655y + 49)
35
