12a
0707
(K12a
0707
)
A knot diagram
1
Linearized knot diagam
3 8 6 12 9 11 10 2 5 1 4 7
Solving Sequence
2,8
3
5,9
6 10 1 11 7 12 4
c
2
c
8
c
5
c
9
c
1
c
10
c
7
c
12
c
4
c
3
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.86827 × 10
582
u
181
− 3.19856 × 10
582
u
180
+ ··· + 4.55306 × 10
582
b − 5.56258 × 10
584
,
8.53302 × 10
584
u
181
− 1.42871 × 10
585
u
180
+ ··· + 2.94583 × 10
585
a − 7.55853 × 10
586
,
u
182
− 2u
181
+ ··· − 3170u + 647i
I
u
2
= h1.43964 × 10
20
u
47
− 1.21238 × 10
20
u
46
+ ··· + 6.08163 × 10
19
b − 2.83566 × 10
20
,
− 1.37210 × 10
20
u
47
− 1.58559 × 10
20
u
46
+ ··· + 6.08163 × 10
19
a + 2.09575 × 10
18
, u
48
+ u
47
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 230 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
= h1.87 × 10
582
u
181
− 3.20 × 10
582
u
180
+ · · · + 4.55 × 10
582
b − 5.56 ×
10
584
, 8.53 × 10
584
u
181
− 1.43 × 10
585
u
180
+ · · · + 2.95 × 10
585
a − 7.56 ×
10
586
, u
182
− 2u
181
+ · · · − 3170u + 647i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
5
=
−0.289665u
181
+ 0.484993u
180
+ ··· − 329.497u + 25.6584
−0.410334u
181
+ 0.702509u
180
+ ··· − 786.078u + 122.172
a
9
=
u
u
a
6
=
−0.205771u
181
+ 0.418521u
180
+ ··· − 326.941u + 41.0715
−0.326440u
181
+ 0.636037u
180
+ ··· − 783.522u + 137.586
a
10
=
−0.197935u
181
+ 0.138456u
180
+ ··· + 70.3475u − 47.6382
−0.147855u
181
− 0.0420209u
180
+ ··· + 536.279u − 159.236
a
1
=
u
2
+ 1
−u
4
a
11
=
−0.332327u
181
+ 0.333486u
180
+ ··· − 87.4336u − 38.9923
−0.298887u
181
+ 0.266562u
180
+ ··· + 160.525u − 94.6823
a
7
=
−0.0325621u
181
− 0.0922697u
180
+ ··· + 468.771u − 103.076
−0.171974u
181
+ 0.0272787u
180
+ ··· + 596.604u − 166.450
a
12
=
0.205787u
181
− 0.713579u
180
+ ··· + 1510.06u − 324.131
0.164662u
181
− 0.687047u
180
+ ··· + 1411.00u − 302.943
a
4
=
−0.472037u
181
+ 1.14659u
180
+ ··· − 1749.16u + 331.262
−0.405221u
181
+ 1.17867u
180
+ ··· − 2092.49u + 429.490
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.486313u
181
− 0.0903998u
180
+ ··· − 1349.49u + 429.270
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
182
+ 88u
181
+ ··· + 9154060u + 418609
c
2
, c
8
u
182
+ 2u
181
+ ··· + 3170u + 647
c
3
u
182
− 9u
181
+ ··· − 4473834946u + 318667011
c
4
, c
11
u
182
− 65u
180
+ ··· + 17454u + 6196
c
5
, c
9
u
182
+ 48u
180
+ ··· + 935357u + 53761
c
6
u
182
− 3u
181
+ ··· + 4259486u + 3695609
c
7
u
182
− 9u
181
+ ··· − 7454u + 3031
c
10
u
182
+ 28u
181
+ ··· + 9541u + 457
c
12
u
182
+ u
181
+ ··· + 10u + 3
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
182
+ 28y
181
+ ··· + 3612930806400y + 175233494881
c
2
, c
8
y
182
+ 88y
181
+ ··· + 9154060y + 418609
c
3
y
182
− 49y
181
+ ··· + 2.91 × 10
18
y + 1.02 × 10
17
c
4
, c
11
y
182
− 130y
181
+ ··· − 1577213772y + 38390416
c
5
, c
9
y
182
+ 96y
181
+ ··· + 152047431545y + 2890245121
c
6
y
182
+ 27y
181
+ ··· + 3313957547436004y + 13657525880881
c
7
y
182
− 7y
181
+ ··· + 874676032y + 9186961
c
10
y
182
− 6y
181
+ ··· + 15585591y + 208849
c
12
y
182
+ 25y
181
+ ··· − 508y + 9
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.256529 + 0.965217I
a = 1.212430 − 0.659498I
b = 1.004440 − 0.357173I
−1.93206 − 2.87680I 0
u = −0.256529 − 0.965217I
a = 1.212430 + 0.659498I
b = 1.004440 + 0.357173I
−1.93206 + 2.87680I 0
u = 0.321283 + 0.960383I
a = −1.72160 − 1.88464I
b = −1.42332 − 1.65390I
−4.04300 + 7.35745I 0
u = 0.321283 − 0.960383I
a = −1.72160 + 1.88464I
b = −1.42332 + 1.65390I
−4.04300 − 7.35745I 0
u = −0.959093 + 0.342048I
a = −0.11658 − 1.83837I
b = −0.017897 − 0.543037I
0.04523 + 8.72598I 0
u = −0.959093 − 0.342048I
a = −0.11658 + 1.83837I
b = −0.017897 + 0.543037I
0.04523 − 8.72598I 0
u = 0.970839 + 0.334543I
a = 0.11427 − 1.61623I
b = 0.214960 − 0.356312I
−5.85337 − 2.71377I 0
u = 0.970839 − 0.334543I
a = 0.11427 + 1.61623I
b = 0.214960 + 0.356312I
−5.85337 + 2.71377I 0
u = 0.319026 + 0.917578I
a = 3.14081 + 0.70461I
b = 3.91127 + 1.02720I
−3.90447 − 4.81068I 0
u = 0.319026 − 0.917578I
a = 3.14081 − 0.70461I
b = 3.91127 − 1.02720I
−3.90447 + 4.81068I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.963066 + 0.370945I
a = −0.00320 − 1.87437I
b = −0.131414 − 0.487661I
−3.8848 − 15.0556I 0
u = 0.963066 − 0.370945I
a = −0.00320 + 1.87437I
b = −0.131414 + 0.487661I
−3.8848 + 15.0556I 0
u = −0.215480 + 1.011660I
a = −0.95136 − 1.10794I
b = −2.30367 − 0.96336I
−8.52535 − 5.59306I 0
u = −0.215480 − 1.011660I
a = −0.95136 + 1.10794I
b = −2.30367 + 0.96336I
−8.52535 + 5.59306I 0
u = 0.416754 + 0.947098I
a = −1.84060 − 0.40313I
b = −2.99579 − 0.35572I
−2.45544 + 6.04571I 0
u = 0.416754 − 0.947098I
a = −1.84060 + 0.40313I
b = −2.99579 + 0.35572I
−2.45544 − 6.04571I 0
u = −0.408551 + 0.952318I
a = 0.141264 + 0.895448I
b = 0.959008 − 0.391747I
−2.83544 − 2.47905I 0
u = −0.408551 − 0.952318I
a = 0.141264 − 0.895448I
b = 0.959008 + 0.391747I
−2.83544 + 2.47905I 0
u = 0.755664 + 0.592081I
a = 0.44078 + 2.25804I
b = 0.232245 + 1.140070I
−0.20565 − 5.15931I 0
u = 0.755664 − 0.592081I
a = 0.44078 − 2.25804I
b = 0.232245 − 1.140070I
−0.20565 + 5.15931I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368804 + 0.974258I
a = −2.05082 + 1.21378I
b = −2.96000 + 1.39186I
−2.49284 + 0.44505I 0
u = −0.368804 − 0.974258I
a = −2.05082 − 1.21378I
b = −2.96000 − 1.39186I
−2.49284 − 0.44505I 0
u = −0.333309 + 0.990772I
a = −1.71075 − 1.18845I
b = −2.97767 − 0.52283I
−9.06733 + 3.65813I 0
u = −0.333309 − 0.990772I
a = −1.71075 + 1.18845I
b = −2.97767 + 0.52283I
−9.06733 − 3.65813I 0
u = 0.138390 + 0.932899I
a = −0.436637 − 0.107081I
b = −2.07183 − 0.66879I
−8.37172 − 5.25239I 0
u = 0.138390 − 0.932899I
a = −0.436637 + 0.107081I
b = −2.07183 + 0.66879I
−8.37172 + 5.25239I 0
u = −0.811952 + 0.684382I
a = 0.152594 + 0.455598I
b = −0.629575 + 0.558511I
0.843620 + 0.857755I 0
u = −0.811952 − 0.684382I
a = 0.152594 − 0.455598I
b = −0.629575 − 0.558511I
0.843620 − 0.857755I 0
u = 0.658901 + 0.834756I
a = −0.114461 + 0.485796I
b = 0.183497 − 0.212440I
3.93302 + 0.52408I 0
u = 0.658901 − 0.834756I
a = −0.114461 − 0.485796I
b = 0.183497 + 0.212440I
3.93302 − 0.52408I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.493093 + 0.962507I
a = −0.192912 + 0.349341I
b = −1.24572 − 1.46013I
−1.88389 − 2.60833I 0
u = −0.493093 − 0.962507I
a = −0.192912 − 0.349341I
b = −1.24572 + 1.46013I
−1.88389 + 2.60833I 0
u = 0.777088 + 0.489267I
a = −0.164620 − 1.363070I
b = −0.055748 + 0.181182I
−3.36835 − 6.51503I 0
u = 0.777088 − 0.489267I
a = −0.164620 + 1.363070I
b = −0.055748 − 0.181182I
−3.36835 + 6.51503I 0
u = −0.787498 + 0.461357I
a = −0.28773 − 1.49689I
b = −0.327748 − 0.486408I
2.73572 − 0.70337I 0
u = −0.787498 − 0.461357I
a = −0.28773 + 1.49689I
b = −0.327748 + 0.486408I
2.73572 + 0.70337I 0
u = 0.706324 + 0.828826I
a = −0.188825 + 0.116889I
b = −0.871915 + 0.357366I
3.96907 + 4.70193I 0
u = 0.706324 − 0.828826I
a = −0.188825 − 0.116889I
b = −0.871915 − 0.357366I
3.96907 − 4.70193I 0
u = 0.325079 + 1.041610I
a = 1.36015 − 0.95861I
b = 2.43676 − 0.48875I
−5.32911 + 0.68825I 0
u = 0.325079 − 1.041610I
a = 1.36015 + 0.95861I
b = 2.43676 + 0.48875I
−5.32911 − 0.68825I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.191530 + 1.084320I
a = −0.823473 + 0.326919I
b = −0.810574 − 0.652656I
−5.37510 + 6.53386I 0
u = −0.191530 − 1.084320I
a = −0.823473 − 0.326919I
b = −0.810574 + 0.652656I
−5.37510 − 6.53386I 0
u = 0.719448 + 0.530043I
a = 0.52019 − 1.69968I
b = 0.417648 − 0.853260I
−0.02194 + 6.24473I 0
u = 0.719448 − 0.530043I
a = 0.52019 + 1.69968I
b = 0.417648 + 0.853260I
−0.02194 − 6.24473I 0
u = −0.324042 + 0.829369I
a = 1.056160 − 0.040146I
b = 2.63404 − 0.02893I
−2.25972 − 0.64288I 0
u = −0.324042 − 0.829369I
a = 1.056160 + 0.040146I
b = 2.63404 + 0.02893I
−2.25972 + 0.64288I 0
u = 0.785872 + 0.786239I
a = −0.242549 + 0.418626I
b = 0.336274 + 0.888423I
1.372790 − 0.122237I 0
u = 0.785872 − 0.786239I
a = −0.242549 − 0.418626I
b = 0.336274 − 0.888423I
1.372790 + 0.122237I 0
u = 0.737790 + 0.492461I
a = 0.345930 + 0.026591I
b = −0.639912 + 0.349896I
3.01770 − 3.51677I 0
u = 0.737790 − 0.492461I
a = 0.345930 − 0.026591I
b = −0.639912 − 0.349896I
3.01770 + 3.51677I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.788821 + 0.390879I
a = −1.07972 + 1.10131I
b = −0.344559 + 0.168399I
−3.85365 − 3.48929I 0
u = −0.788821 − 0.390879I
a = −1.07972 − 1.10131I
b = −0.344559 − 0.168399I
−3.85365 + 3.48929I 0
u = −0.535493 + 0.990011I
a = −0.362014 + 0.582134I
b = −1.52400 + 0.09166I
−1.91170 − 3.00635I 0
u = −0.535493 − 0.990011I
a = −0.362014 − 0.582134I
b = −1.52400 − 0.09166I
−1.91170 + 3.00635I 0
u = 0.462803 + 1.029870I
a = −0.492012 + 0.113505I
b = −0.89362 + 1.44155I
0.52559 + 3.16200I 0
u = 0.462803 − 1.029870I
a = −0.492012 − 0.113505I
b = −0.89362 − 1.44155I
0.52559 − 3.16200I 0
u = −0.542683 + 0.990584I
a = 0.326897 + 0.168603I
b = 0.520159 + 1.250960I
0.62605 − 2.30354I 0
u = −0.542683 − 0.990584I
a = 0.326897 − 0.168603I
b = 0.520159 − 1.250960I
0.62605 + 2.30354I 0
u = −0.868493 + 0.017213I
a = −0.057365 − 1.337690I
b = −0.709355 − 0.117998I
−3.47721 − 2.37734I 0
u = −0.868493 − 0.017213I
a = −0.057365 + 1.337690I
b = −0.709355 + 0.117998I
−3.47721 + 2.37734I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.398745 + 1.063230I
a = −1.080680 + 0.294267I
b = −2.47122 − 0.39892I
−9.96700 + 7.36444I 0
u = 0.398745 − 1.063230I
a = −1.080680 − 0.294267I
b = −2.47122 + 0.39892I
−9.96700 − 7.36444I 0
u = 0.220809 + 1.117270I
a = 1.61693 − 0.13299I
b = 2.51781 + 0.37798I
−4.29846 − 1.07449I 0
u = 0.220809 − 1.117270I
a = 1.61693 + 0.13299I
b = 2.51781 − 0.37798I
−4.29846 + 1.07449I 0
u = 0.333221 + 0.791199I
a = 1.14122 + 1.43106I
b = 0.487291 + 0.418115I
−1.82793 − 2.81146I 0
u = 0.333221 − 0.791199I
a = 1.14122 − 1.43106I
b = 0.487291 − 0.418115I
−1.82793 + 2.81146I 0
u = −0.658819 + 0.549326I
a = 0.376897 − 0.103555I
b = −0.663931 + 0.009059I
1.40731 − 1.37987I 0
u = −0.658819 − 0.549326I
a = 0.376897 + 0.103555I
b = −0.663931 − 0.009059I
1.40731 + 1.37987I 0
u = −0.757703 + 0.401729I
a = −0.521099 − 0.085871I
b = 0.804581 + 0.237617I
−0.67887 + 8.76569I 0
u = −0.757703 − 0.401729I
a = −0.521099 + 0.085871I
b = 0.804581 − 0.237617I
−0.67887 − 8.76569I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.197885 + 1.127370I
a = 0.061092 − 0.496396I
b = 0.405840 + 0.174285I
−6.12079 + 0.96304I 0
u = 0.197885 − 1.127370I
a = 0.061092 + 0.496396I
b = 0.405840 − 0.174285I
−6.12079 − 0.96304I 0
u = 0.772578 + 0.355421I
a = 0.01052 + 2.03459I
b = 0.143729 + 0.599365I
0.33205 − 3.68959I 0
u = 0.772578 − 0.355421I
a = 0.01052 − 2.03459I
b = 0.143729 − 0.599365I
0.33205 + 3.68959I 0
u = 0.345125 + 1.105040I
a = 0.91623 − 1.17290I
b = 1.61124 − 0.82798I
−5.57901 + 1.36934I 0
u = 0.345125 − 1.105040I
a = 0.91623 + 1.17290I
b = 1.61124 + 0.82798I
−5.57901 − 1.36934I 0
u = 0.629411 + 0.557449I
a = 0.785305 + 0.019652I
b = 1.179150 + 0.186374I
−1.84170 − 1.39573I 0
u = 0.629411 − 0.557449I
a = 0.785305 − 0.019652I
b = 1.179150 − 0.186374I
−1.84170 + 1.39573I 0
u = −0.545226 + 1.023710I
a = 2.19638 + 0.51552I
b = 3.16802 + 0.16982I
−1.21493 − 6.35853I 0
u = −0.545226 − 1.023710I
a = 2.19638 − 0.51552I
b = 3.16802 − 0.16982I
−1.21493 + 6.35853I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.081710 + 0.428341I
a = −0.21642 + 1.64363I
b = −0.206993 + 0.628296I
−4.24294 + 4.78561I 0
u = −1.081710 − 0.428341I
a = −0.21642 − 1.64363I
b = −0.206993 − 0.628296I
−4.24294 − 4.78561I 0
u = −0.528705 + 0.648125I
a = 0.492409 − 0.328331I
b = 0.440016 + 0.949759I
−0.83439 − 1.35172I 0
u = −0.528705 − 0.648125I
a = 0.492409 + 0.328331I
b = 0.440016 − 0.949759I
−0.83439 + 1.35172I 0
u = −0.265197 + 1.133190I
a = −1.45559 + 0.20380I
b = −2.60438 + 0.77701I
−6.02169 + 3.15651I 0
u = −0.265197 − 1.133190I
a = −1.45559 − 0.20380I
b = −2.60438 − 0.77701I
−6.02169 − 3.15651I 0
u = −0.471865 + 0.690017I
a = 0.231006 − 0.331373I
b = 1.05113 + 1.22978I
−1.00980 − 1.41843I 0
u = −0.471865 − 0.690017I
a = 0.231006 + 0.331373I
b = 1.05113 − 1.22978I
−1.00980 + 1.41843I 0
u = 0.718118 + 0.925578I
a = −0.617745 + 0.236258I
b = −0.062326 + 0.589650I
0.93496 + 5.78908I 0
u = 0.718118 − 0.925578I
a = −0.617745 − 0.236258I
b = −0.062326 − 0.589650I
0.93496 − 5.78908I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.106661 + 0.820168I
a = 1.40543 + 0.70916I
b = 0.839047 + 0.122314I
−1.76131 − 2.59599I 0
u = 0.106661 − 0.820168I
a = 1.40543 − 0.70916I
b = 0.839047 − 0.122314I
−1.76131 + 2.59599I 0
u = −0.602258 + 0.566695I
a = 0.714700 + 0.494365I
b = −0.676894 + 0.132678I
1.87423 − 2.24970I 0
u = −0.602258 − 0.566695I
a = 0.714700 − 0.494365I
b = −0.676894 − 0.132678I
1.87423 + 2.24970I 0
u = −0.558746 + 1.036350I
a = 1.45049 − 1.37725I
b = 2.53158 − 1.63295I
−7.45853 − 9.80643I 0
u = −0.558746 − 1.036350I
a = 1.45049 + 1.37725I
b = 2.53158 + 1.63295I
−7.45853 + 9.80643I 0
u = 0.498784 + 1.067310I
a = 0.767414 − 0.059300I
b = 1.028060 + 0.694894I
−2.24172 − 0.53858I 0
u = 0.498784 − 1.067310I
a = 0.767414 + 0.059300I
b = 1.028060 − 0.694894I
−2.24172 + 0.53858I 0
u = 0.509329 + 1.063480I
a = −1.49416 − 1.00749I
b = −2.43133 − 1.07711I
−4.10099 + 6.11129I 0
u = 0.509329 − 1.063480I
a = −1.49416 + 1.00749I
b = −2.43133 + 1.07711I
−4.10099 − 6.11129I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.565403 + 1.038380I
a = −0.057892 − 0.181559I
b = −0.036621 + 0.542983I
−0.07230 − 3.38727I 0
u = −0.565403 − 1.038380I
a = −0.057892 + 0.181559I
b = −0.036621 − 0.542983I
−0.07230 + 3.38727I 0
u = 0.622653 + 1.008490I
a = 1.48494 − 0.46155I
b = 2.15192 − 0.24382I
−1.45495 − 1.11532I 0
u = 0.622653 − 1.008490I
a = 1.48494 + 0.46155I
b = 2.15192 + 0.24382I
−1.45495 + 1.11532I 0
u = −0.577545 + 0.570032I
a = 0.01330 + 2.33101I
b = 0.645321 + 1.177600I
0.17910 + 1.84122I 0
u = −0.577545 − 0.570032I
a = 0.01330 − 2.33101I
b = 0.645321 − 1.177600I
0.17910 − 1.84122I 0
u = 0.463006 + 1.097170I
a = 1.216860 + 0.615636I
b = 2.51400 + 0.69702I
−9.47777 − 0.23566I 0
u = 0.463006 − 1.097170I
a = 1.216860 − 0.615636I
b = 2.51400 − 0.69702I
−9.47777 + 0.23566I 0
u = −0.188811 + 0.786373I
a = 0.362752 + 0.488895I
b = 0.282641 + 0.936930I
−0.89161 − 1.81927I 0
u = −0.188811 − 0.786373I
a = 0.362752 − 0.488895I
b = 0.282641 − 0.936930I
−0.89161 + 1.81927I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.611897 + 1.038710I
a = −2.38329 − 0.15231I
b = −3.32038 − 0.29943I
−1.59825 + 10.35860I 0
u = 0.611897 − 1.038710I
a = −2.38329 + 0.15231I
b = −3.32038 + 0.29943I
−1.59825 − 10.35860I 0
u = −0.588466 + 0.533637I
a = −1.75419 + 1.35596I
b = −0.893780 + 0.068604I
−5.95313 + 5.19045I 0
u = −0.588466 − 0.533637I
a = −1.75419 − 1.35596I
b = −0.893780 − 0.068604I
−5.95313 − 5.19045I 0
u = −0.721849 + 0.313086I
a = −0.01353 + 2.20778I
b = −0.029369 + 0.312327I
−1.74367 + 5.99906I 0
u = −0.721849 − 0.313086I
a = −0.01353 − 2.20778I
b = −0.029369 − 0.312327I
−1.74367 − 5.99906I 0
u = 0.600754 + 1.061430I
a = 0.031932 + 0.148689I
b = 0.412200 − 0.649351I
1.32508 + 8.61937I 0
u = 0.600754 − 1.061430I
a = 0.031932 − 0.148689I
b = 0.412200 + 0.649351I
1.32508 − 8.61937I 0
u = 0.506802 + 1.110930I
a = −1.32257 − 0.99998I
b = −1.97872 − 0.95481I
−4.46728 + 6.15114I 0
u = 0.506802 − 1.110930I
a = −1.32257 + 0.99998I
b = −1.97872 + 0.95481I
−4.46728 − 6.15114I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.716229 + 0.993558I
a = 0.543645 + 0.015384I
b = 0.396892 + 0.633993I
−0.09281 − 6.57396I 0
u = −0.716229 − 0.993558I
a = 0.543645 − 0.015384I
b = 0.396892 − 0.633993I
−0.09281 + 6.57396I 0
u = 0.590317 + 1.089850I
a = −0.313899 − 0.653732I
b = −0.491576 − 0.074613I
−3.64197 + 6.36765I 0
u = 0.590317 − 1.089850I
a = −0.313899 + 0.653732I
b = −0.491576 + 0.074613I
−3.64197 − 6.36765I 0
u = −0.621394 + 1.072660I
a = −1.380380 − 0.222409I
b = −2.30493 − 0.01748I
0.93469 − 4.59359I 0
u = −0.621394 − 1.072660I
a = −1.380380 + 0.222409I
b = −2.30493 + 0.01748I
0.93469 + 4.59359I 0
u = −0.397580 + 1.174210I
a = 1.32606 − 0.57084I
b = 2.35226 − 0.25650I
−7.26789 − 6.61407I 0
u = −0.397580 − 1.174210I
a = 1.32606 + 0.57084I
b = 2.35226 + 0.25650I
−7.26789 + 6.61407I 0
u = −0.962104 + 0.786472I
a = 0.062771 + 0.510933I
b = 0.792522 + 0.079015I
−1.26602 − 9.81025I 0
u = −0.962104 − 0.786472I
a = 0.062771 − 0.510933I
b = 0.792522 − 0.079015I
−1.26602 + 9.81025I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.615257 + 1.080480I
a = 1.152210 + 0.195549I
b = 2.45059 + 0.19569I
−5.14755 + 11.77930I 0
u = 0.615257 − 1.080480I
a = 1.152210 − 0.195549I
b = 2.45059 − 0.19569I
−5.14755 − 11.77930I 0
u = −0.555292 + 1.119610I
a = 1.82334 − 0.10668I
b = 3.13530 − 0.17631I
−4.07515 − 10.86580I 0
u = −0.555292 − 1.119610I
a = 1.82334 + 0.10668I
b = 3.13530 + 0.17631I
−4.07515 + 10.86580I 0
u = −0.587559 + 1.104290I
a = −0.171375 + 0.041924I
b = −0.500655 − 0.997079I
−2.75464 − 13.86320I 0
u = −0.587559 − 1.104290I
a = −0.171375 − 0.041924I
b = −0.500655 + 0.997079I
−2.75464 + 13.86320I 0
u = 0.514252 + 0.539249I
a = −1.132140 − 0.491686I
b = 0.396606 − 0.237572I
−0.60459 + 4.64816I 0
u = 0.514252 − 0.539249I
a = −1.132140 + 0.491686I
b = 0.396606 + 0.237572I
−0.60459 − 4.64816I 0
u = 0.694887 + 0.261386I
a = −0.36235 + 1.95053I
b = 0.178863 + 0.572956I
0.74172 − 3.74761I 0
u = 0.694887 − 0.261386I
a = −0.36235 − 1.95053I
b = 0.178863 − 0.572956I
0.74172 + 3.74761I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.574975 + 1.120180I
a = 1.15051 − 0.87915I
b = 1.86526 − 1.24940I
−6.06402 − 1.63897I 0
u = −0.574975 − 1.120180I
a = 1.15051 + 0.87915I
b = 1.86526 + 1.24940I
−6.06402 + 1.63897I 0
u = −0.395150 + 1.196710I
a = −0.814327 − 0.373022I
b = −1.66842 + 0.28653I
−7.27036 − 1.99640I 0
u = −0.395150 − 1.196710I
a = −0.814327 + 0.373022I
b = −1.66842 − 0.28653I
−7.27036 + 1.99640I 0
u = 0.574016 + 1.126190I
a = −1.92429 − 0.08054I
b = −2.99168 − 0.04306I
−1.95475 + 8.76971I 0
u = 0.574016 − 1.126190I
a = −1.92429 + 0.08054I
b = −2.99168 + 0.04306I
−1.95475 − 8.76971I 0
u = 0.544410 + 1.170240I
a = −1.83274 + 0.01352I
b = −2.74545 + 0.12088I
−1.91650 + 8.54202I 0
u = 0.544410 − 1.170240I
a = −1.83274 − 0.01352I
b = −2.74545 − 0.12088I
−1.91650 − 8.54202I 0
u = 0.667109 + 0.181337I
a = 0.60272 + 1.38020I
b = 0.804746 + 0.302157I
−1.93967 − 1.74592I 0
u = 0.667109 − 0.181337I
a = 0.60272 − 1.38020I
b = 0.804746 − 0.302157I
−1.93967 + 1.74592I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.369289 + 1.265300I
a = 1.61857 + 0.09609I
b = 2.24068 + 0.16304I
−2.20027 − 3.58179I 0
u = −0.369289 − 1.265300I
a = 1.61857 − 0.09609I
b = 2.24068 − 0.16304I
−2.20027 + 3.58179I 0
u = 0.344232 + 0.572879I
a = −0.41346 + 1.36455I
b = 0.911335 + 0.015996I
2.05919 + 0.49453I 4.03596 + 3.76551I
u = 0.344232 − 0.572879I
a = −0.41346 − 1.36455I
b = 0.911335 − 0.015996I
2.05919 − 0.49453I 4.03596 − 3.76551I
u = 0.984802 + 0.911160I
a = −0.303400 + 0.586499I
b = −0.760893 + 0.194619I
3.81963 + 3.53397I 0
u = 0.984802 − 0.911160I
a = −0.303400 − 0.586499I
b = −0.760893 − 0.194619I
3.81963 − 3.53397I 0
u = −0.942451 + 0.955376I
a = 0.282218 + 0.547680I
b = 0.677960 − 0.034103I
−1.73681 + 3.02376I 0
u = −0.942451 − 0.955376I
a = 0.282218 − 0.547680I
b = 0.677960 + 0.034103I
−1.73681 − 3.02376I 0
u = 0.630221 + 1.189060I
a = 1.48775 − 0.12117I
b = 2.56301 + 0.10998I
−8.47270 + 8.49096I 0
u = 0.630221 − 1.189060I
a = 1.48775 + 0.12117I
b = 2.56301 − 0.10998I
−8.47270 − 8.49096I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.635450 + 1.187820I
a = −1.74268 − 0.04419I
b = −2.81308 + 0.04219I
−2.5342 − 14.5056I 0
u = −0.635450 − 1.187820I
a = −1.74268 + 0.04419I
b = −2.81308 − 0.04219I
−2.5342 + 14.5056I 0
u = 0.645996 + 1.184020I
a = 1.76204 + 0.10697I
b = 2.89752 + 0.14474I
−6.3767 + 20.8986I 0
u = 0.645996 − 1.184020I
a = 1.76204 − 0.10697I
b = 2.89752 − 0.14474I
−6.3767 − 20.8986I 0
u = 0.130611 + 1.351380I
a = −1.50954 + 0.01181I
b = −2.44165 − 0.41318I
−10.0090 − 11.5034I 0
u = 0.130611 − 1.351380I
a = −1.50954 − 0.01181I
b = −2.44165 + 0.41318I
−10.0090 + 11.5034I 0
u = 0.560639 + 0.266398I
a = 1.13611 + 1.68595I
b = 0.717915 + 0.298184I
−1.97983 − 1.88746I −0.78533 + 3.26809I
u = 0.560639 − 0.266398I
a = 1.13611 − 1.68595I
b = 0.717915 − 0.298184I
−1.97983 + 1.88746I −0.78533 − 3.26809I
u = −0.160767 + 1.374080I
a = 1.57737 − 0.04219I
b = 2.41230 − 0.35941I
−5.93565 + 4.96536I 0
u = −0.160767 − 1.374080I
a = 1.57737 + 0.04219I
b = 2.41230 + 0.35941I
−5.93565 − 4.96536I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.111388 + 1.388180I
a = −1.55028 − 0.17705I
b = −2.47048 − 0.24260I
−12.00310 + 1.06095I 0
u = 0.111388 − 1.388180I
a = −1.55028 + 0.17705I
b = −2.47048 + 0.24260I
−12.00310 − 1.06095I 0
u = −0.694732 + 1.207230I
a = 1.59598 − 0.23667I
b = 2.52552 − 0.34401I
−6.70928 − 11.13190I 0
u = −0.694732 − 1.207230I
a = 1.59598 + 0.23667I
b = 2.52552 + 0.34401I
−6.70928 + 11.13190I 0
u = 0.570475 + 0.197415I
a = −0.80893 − 1.94522I
b = −0.399143 + 0.318276I
−6.95820 + 4.30471I −2.90651 − 4.31657I
u = 0.570475 − 0.197415I
a = −0.80893 + 1.94522I
b = −0.399143 − 0.318276I
−6.95820 − 4.30471I −2.90651 + 4.31657I
u = 0.384135 + 0.454875I
a = 1.006570 + 0.038065I
b = 0.979938 + 0.447821I
−1.87969 − 1.40308I −2.30382 + 1.28082I
u = 0.384135 − 0.454875I
a = 1.006570 − 0.038065I
b = 0.979938 − 0.447821I
−1.87969 + 1.40308I −2.30382 − 1.28082I
u = −0.470995 + 0.055352I
a = 1.16942 + 0.91884I
b = −0.041223 + 0.220037I
1.274910 + 0.210049I 9.06029 − 0.23994I
u = −0.470995 − 0.055352I
a = 1.16942 − 0.91884I
b = −0.041223 − 0.220037I
1.274910 − 0.210049I 9.06029 + 0.23994I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07521 + 1.66469I
a = −1.82399 − 0.29293I
b = −2.42364 − 0.18061I
−11.85890 + 0.51680I 0
u = −0.07521 − 1.66469I
a = −1.82399 + 0.29293I
b = −2.42364 + 0.18061I
−11.85890 − 0.51680I 0
23
II.
I
u
2
= h1.44×10
20
u
47
−1.21×10
20
u
46
+· · ·+6.08×10
19
b−2.84×10
20
, −1.37×
10
20
u
47
−1.59×10
20
u
46
+· · ·+6.08×10
19
a+2.10×10
18
, u
48
+u
47
+· · ·−3u+1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
5
=
2.25613u
47
+ 2.60717u
46
+ ··· − 27.9525u − 0.0344603
−2.36718u
47
+ 1.99352u
46
+ ··· − 36.3337u + 4.66267
a
9
=
u
u
a
6
=
6.70627u
47
+ 2.19069u
46
+ ··· − 11.3002u − 4.04412
2.08295u
47
+ 1.57703u
46
+ ··· − 19.6814u + 0.653008
a
10
=
8.49316u
47
+ 10.0716u
46
+ ··· + 18.7815u + 4.95026
6.90906u
47
+ 11.9125u
46
+ ··· − 17.0161u + 8.69668
a
1
=
u
2
+ 1
−u
4
a
11
=
9.17185u
47
+ 11.5282u
46
+ ··· + 27.6988u + 3.49291
6.86573u
47
+ 11.4807u
46
+ ··· − 15.5446u + 8.32282
a
7
=
−3.78375u
47
− 24.7695u
46
+ ··· + 70.0160u − 36.2104
15.5871u
47
− 14.5114u
46
+ ··· + 95.0207u − 27.6390
a
12
=
17.6915u
47
+ 26.6294u
46
+ ··· + 38.9288u + 6.75506
20.2070u
47
+ 26.8426u
46
+ ··· − 10.2697u + 8.80231
a
4
=
−5.15455u
47
− 12.5282u
46
+ ··· + 30.9383u + 0.600150
0.529754u
47
− 11.8012u
46
+ ··· + 24.4298u − 5.20553
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
561986657334369807367
15204087164090482288
u
47
−
659950458826206152701
7602043582045241144
u
46
+ ··· −
152988620147014659225
7602043582045241144
u −
24685395848867196469
15204087164090482288
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
48
− 27u
47
+ ··· − 29u + 1
c
2
u
48
+ u
47
+ ··· − 3u + 1
c
3
u
48
− 10u
47
+ ··· − 93u + 1
c
4
u
48
− u
47
+ ··· − 10u + 4
c
5
u
48
− u
47
+ ··· + 4u + 1
c
6
u
48
− 7u
46
+ ··· − 3u + 1
c
7
u
48
− 4u
47
+ ··· − 91u + 11
c
8
u
48
− u
47
+ ··· + 3u + 1
c
9
u
48
+ u
47
+ ··· − 4u + 1
c
10
u
48
− 7u
47
+ ··· − 8u + 1
c
11
u
48
+ u
47
+ ··· + 10u + 4
c
12
u
48
+ 10u
46
+ ··· − 11u + 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
48
+ 3y
47
+ ··· + 5y + 1
c
2
, c
8
y
48
+ 27y
47
+ ··· + 29y + 1
c
3
y
48
+ 2y
47
+ ··· − 3787y + 1
c
4
, c
11
y
48
− 43y
47
+ ··· − 572y + 16
c
5
, c
9
y
48
+ 15y
47
+ ··· + 46y + 1
c
6
y
48
− 14y
47
+ ··· + 9y + 1
c
7
y
48
− 12y
47
+ ··· − 471y + 121
c
10
y
48
− 19y
47
+ ··· − 24y + 1
c
12
y
48
+ 20y
47
+ ··· − 31y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.303433 + 0.948276I
a = −1.55689 − 0.60913I
b = −2.99562 + 0.05362I
−8.50439 + 3.93763I −1.77248 − 3.10729I
u = −0.303433 − 0.948276I
a = −1.55689 + 0.60913I
b = −2.99562 − 0.05362I
−8.50439 − 3.93763I −1.77248 + 3.10729I
u = −0.934790 + 0.469546I
a = −0.25839 + 1.51941I
b = −0.111043 + 0.362241I
−3.75098 + 4.42844I 2.00000 − 2.63674I
u = −0.934790 − 0.469546I
a = −0.25839 − 1.51941I
b = −0.111043 − 0.362241I
−3.75098 − 4.42844I 2.00000 + 2.63674I
u = −0.732503 + 0.751016I
a = 0.351147 + 0.746249I
b = −0.143246 + 0.967507I
2.04714 + 0.17029I 9.59498 + 0.I
u = −0.732503 − 0.751016I
a = 0.351147 − 0.746249I
b = −0.143246 − 0.967507I
2.04714 − 0.17029I 9.59498 + 0.I
u = −0.263596 + 0.910305I
a = −0.187847 − 1.081860I
b = −1.72402 − 0.67821I
−8.29710 − 6.29968I −3.67660 + 11.44227I
u = −0.263596 − 0.910305I
a = −0.187847 + 1.081860I
b = −1.72402 + 0.67821I
−8.29710 + 6.29968I −3.67660 − 11.44227I
u = 0.499730 + 0.967895I
a = −0.196436 − 0.339907I
b = −1.31087 + 1.27505I
−1.86446 + 2.63152I 94.8314 − 59.9780I
u = 0.499730 − 0.967895I
a = −0.196436 + 0.339907I
b = −1.31087 − 1.27505I
−1.86446 − 2.63152I 94.8314 + 59.9780I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.483801 + 0.987882I
a = 0.518637 + 0.274971I
b = 0.92104 + 1.46146I
1.19616 − 2.82997I 10.53759 + 0.I
u = −0.483801 − 0.987882I
a = 0.518637 − 0.274971I
b = 0.92104 − 1.46146I
1.19616 + 2.82997I 10.53759 + 0.I
u = 0.388252 + 1.040580I
a = −2.33527 − 1.45499I
b = −3.01640 − 1.37032I
−4.29115 + 8.15493I 0. − 12.86094I
u = 0.388252 − 1.040580I
a = −2.33527 + 1.45499I
b = −3.01640 + 1.37032I
−4.29115 − 8.15493I 0. + 12.86094I
u = 0.731956 + 0.855367I
a = −0.610630 − 1.015360I
b = −0.219289 − 0.764594I
−0.91263 + 7.84040I 0
u = 0.731956 − 0.855367I
a = −0.610630 + 1.015360I
b = −0.219289 + 0.764594I
−0.91263 − 7.84040I 0
u = 0.287594 + 1.089960I
a = 1.81469 + 0.16553I
b = 2.73757 + 0.67917I
−4.40520 − 1.94324I 0
u = 0.287594 − 1.089960I
a = 1.81469 − 0.16553I
b = 2.73757 − 0.67917I
−4.40520 + 1.94324I 0
u = 0.225339 + 1.106270I
a = 0.633820 − 0.354515I
b = 1.57283 + 0.02477I
−4.25806 + 2.01998I 0
u = 0.225339 − 1.106270I
a = 0.633820 + 0.354515I
b = 1.57283 − 0.02477I
−4.25806 − 2.01998I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.511471 + 0.699613I
a = 0.229346 + 0.287731I
b = 0.75729 − 1.45330I
−0.99617 + 1.50262I −21.5777 − 67.8215I
u = 0.511471 − 0.699613I
a = 0.229346 − 0.287731I
b = 0.75729 + 1.45330I
−0.99617 − 1.50262I −21.5777 + 67.8215I
u = −0.471206 + 0.691065I
a = 0.396822 + 1.062820I
b = −0.590710 + 0.109204I
2.20372 − 1.11724I 6.49040 + 5.45351I
u = −0.471206 − 0.691065I
a = 0.396822 − 1.062820I
b = −0.590710 − 0.109204I
2.20372 + 1.11724I 6.49040 − 5.45351I
u = −0.682309 + 0.947265I
a = 0.803850 + 0.447989I
b = 0.491864 + 0.744170I
1.44684 − 5.57537I 0
u = −0.682309 − 0.947265I
a = 0.803850 − 0.447989I
b = 0.491864 − 0.744170I
1.44684 + 5.57537I 0
u = −0.224364 + 0.796884I
a = −1.47244 + 1.72908I
b = −0.73164 + 1.26101I
−1.77751 + 1.63696I −1.45103 + 1.63575I
u = −0.224364 − 0.796884I
a = −1.47244 − 1.72908I
b = −0.73164 − 1.26101I
−1.77751 − 1.63696I −1.45103 − 1.63575I
u = 0.698254 + 0.442073I
a = 0.20592 + 2.31888I
b = 0.107292 + 0.861682I
−0.46940 − 4.23779I −1.21636 + 3.88867I
u = 0.698254 − 0.442073I
a = 0.20592 − 2.31888I
b = 0.107292 − 0.861682I
−0.46940 + 4.23779I −1.21636 − 3.88867I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.271231 + 1.148630I
a = 2.18954 − 0.27031I
b = 2.95363 − 0.26660I
−3.13187 − 3.59797I 0
u = −0.271231 − 1.148630I
a = 2.18954 + 0.27031I
b = 2.95363 + 0.26660I
−3.13187 + 3.59797I 0
u = 0.329673 + 0.748558I
a = 2.71229 + 1.24168I
b = 2.27947 + 0.62511I
−3.16558 − 5.11767I 1.77759 + 6.14021I
u = 0.329673 − 0.748558I
a = 2.71229 − 1.24168I
b = 2.27947 − 0.62511I
−3.16558 + 5.11767I 1.77759 − 6.14021I
u = 0.845805 + 0.896265I
a = 0.937719 − 0.242472I
b = 1.341300 + 0.079271I
−1.00761 − 1.97666I 0
u = 0.845805 − 0.896265I
a = 0.937719 + 0.242472I
b = 1.341300 − 0.079271I
−1.00761 + 1.97666I 0
u = 0.570075 + 1.098570I
a = −2.11210 − 0.08382I
b = −3.19618 − 0.09978I
−2.46074 + 9.16277I 0
u = 0.570075 − 1.098570I
a = −2.11210 + 0.08382I
b = −3.19618 + 0.09978I
−2.46074 − 9.16277I 0
u = −0.622844 + 1.101790I
a = 1.46314 − 0.38230I
b = 2.57635 − 0.55071I
−5.73000 − 10.03320I 0
u = −0.622844 − 1.101790I
a = 1.46314 + 0.38230I
b = 2.57635 + 0.55071I
−5.73000 + 10.03320I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.935378 + 0.914685I
a = −0.323116 − 0.609092I
b = −0.724257 − 0.259938I
4.01318 − 3.40707I 0
u = −0.935378 − 0.914685I
a = −0.323116 + 0.609092I
b = −0.724257 + 0.259938I
4.01318 + 3.40707I 0
u = 0.318683 + 0.381488I
a = −0.523127 − 0.133481I
b = 1.47956 + 0.13669I
−1.71021 − 0.01168I 0.461939 − 0.885010I
u = 0.318683 − 0.381488I
a = −0.523127 + 0.133481I
b = 1.47956 − 0.13669I
−1.71021 + 0.01168I 0.461939 + 0.885010I
u = 0.099436 + 0.414406I
a = −2.84174 + 0.24619I
b = −0.541798 − 0.405718I
−1.61883 + 4.02014I −1.10429 − 6.93041I
u = 0.099436 − 0.414406I
a = −2.84174 − 0.24619I
b = −0.541798 + 0.405718I
−1.61883 − 4.02014I −1.10429 + 6.93041I
u = −0.08081 + 1.69185I
a = −1.83894 − 0.23724I
b = −2.41311 − 0.12350I
−11.77280 + 0.58996I 0
u = −0.08081 − 1.69185I
a = −1.83894 + 0.23724I
b = −2.41311 + 0.12350I
−11.77280 − 0.58996I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
48
− 27u
47
+ ··· − 29u + 1)
· (u
182
+ 88u
181
+ ··· + 9154060u + 418609)
c
2
(u
48
+ u
47
+ ··· − 3u + 1)(u
182
+ 2u
181
+ ··· + 3170u + 647)
c
3
(u
48
− 10u
47
+ ··· − 93u + 1)
· (u
182
− 9u
181
+ ··· − 4473834946u + 318667011)
c
4
(u
48
− u
47
+ ··· − 10u + 4)(u
182
− 65u
180
+ ··· + 17454u + 6196)
c
5
(u
48
− u
47
+ ··· + 4u + 1)(u
182
+ 48u
180
+ ··· + 935357u + 53761)
c
6
(u
48
− 7u
46
+ ··· − 3u + 1)(u
182
− 3u
181
+ ··· + 4259486u + 3695609)
c
7
(u
48
− 4u
47
+ ··· − 91u + 11)(u
182
− 9u
181
+ ··· − 7454u + 3031)
c
8
(u
48
− u
47
+ ··· + 3u + 1)(u
182
+ 2u
181
+ ··· + 3170u + 647)
c
9
(u
48
+ u
47
+ ··· − 4u + 1)(u
182
+ 48u
180
+ ··· + 935357u + 53761)
c
10
(u
48
− 7u
47
+ ··· − 8u + 1)(u
182
+ 28u
181
+ ··· + 9541u + 457)
c
11
(u
48
+ u
47
+ ··· + 10u + 4)(u
182
− 65u
180
+ ··· + 17454u + 6196)
c
12
(u
48
+ 10u
46
+ ··· − 11u + 1)(u
182
+ u
181
+ ··· + 10u + 3)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
48
+ 3y
47
+ ··· + 5y + 1)
· (y
182
+ 28y
181
+ ··· + 3612930806400y + 175233494881)
c
2
, c
8
(y
48
+ 27y
47
+ ··· + 29y + 1)
· (y
182
+ 88y
181
+ ··· + 9154060y + 418609)
c
3
(y
48
+ 2y
47
+ ··· − 3787y + 1)
· (y
182
− 49y
181
+ ··· + 2.91 × 10
18
y + 1.02 × 10
17
)
c
4
, c
11
(y
48
− 43y
47
+ ··· − 572y + 16)
· (y
182
− 130y
181
+ ··· − 1577213772y + 38390416)
c
5
, c
9
(y
48
+ 15y
47
+ ··· + 46y + 1)
· (y
182
+ 96y
181
+ ··· + 152047431545y + 2890245121)
c
6
(y
48
− 14y
47
+ ··· + 9y + 1)
· (y
182
+ 27y
181
+ ··· + 3313957547436004y + 13657525880881)
c
7
(y
48
− 12y
47
+ ··· − 471y + 121)
· (y
182
− 7y
181
+ ··· + 874676032y + 9186961)
c
10
(y
48
− 19y
47
+ ··· − 24y + 1)
· (y
182
− 6y
181
+ ··· + 15585591y + 208849)
c
12
(y
48
+ 20y
47
+ ··· − 31y + 1)(y
182
+ 25y
181
+ ··· − 508y + 9)
35
