12a
0184
(K12a
0184
)
A knot diagram
1
Linearized knot diagam
3 5 9 7 2 10 11 12 6 4 1 8
Solving Sequence
6,10 2,7
5 3 1 4 11 8 9 12
c
6
c
5
c
2
c
1
c
4
c
10
c
7
c
9
c
12
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.32502 × 10
415
u
119
+ 2.54170 × 10
414
u
118
+ ··· + 4.01044 × 10
414
b + 1.64747 × 10
415
,
− 2.94399 × 10
415
u
119
+ 8.35823 × 10
413
u
118
+ ··· + 4.01044 × 10
414
a − 4.49947 × 10
415
,
u
120
+ u
119
+ ··· + 10u
3
+ 1i
* 1 irreducible components of dim
C
= 0, with total 120 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
= h1.33 × 10
415
u
119
+ 2.54 × 10
414
u
118
+ · · · + 4.01 × 10
414
b + 1.65 ×
10
415
, −2.94 × 10
415
u
119
+ 8.36 × 10
413
u
118
+ · · · + 4.01 × 10
414
a − 4.50 ×
10
415
, u
120
+ u
119
+ · · · + 10u
3
+ 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
2
=
7.34081u
119
− 0.208412u
118
+ ··· − 10.6447u + 11.2194
−3.30393u
119
− 0.633771u
118
+ ··· + 6.62963u − 4.10796
a
7
=
1
u
2
a
5
=
4.01710u
119
+ 0.119879u
118
+ ··· − 3.90539u + 6.04797
−3.21398u
119
− 0.625442u
118
+ ··· + 6.57033u − 4.99074
a
3
=
1.45823u
119
− 0.337341u
118
+ ··· + 1.35147u + 1.99223
−3.87235u
119
− 0.835695u
118
+ ··· + 7.67638u − 6.04582
a
1
=
−0.465417u
119
− 0.193298u
118
+ ··· + 0.190894u − 1.89568
−1.79434u
119
− 0.567792u
118
+ ··· + 3.10178u − 2.81939
a
4
=
−2.41952u
119
− 0.429440u
118
+ ··· + 6.68204u − 2.83999
−7.75010u
119
− 0.927794u
118
+ ··· + 13.0070u − 10.8780
a
11
=
2.81939u
119
+ 1.02505u
118
+ ··· − 7.07901u + 3.10178
0.272120u
119
+ 0.227342u
118
+ ··· − 1.89568u + 0.465417
a
8
=
−0.449390u
119
− 0.0914268u
118
+ ··· + 0.730282u + 0.133441
0.589239u
119
− 0.181546u
118
+ ··· − 0.203075u + 0.449511
a
9
=
u
u
a
12
=
1.84197u
119
+ 0.631727u
118
+ ··· − 6.73022u + 2.27079
1.07750u
119
+ 0.405949u
118
+ ··· − 2.93100u + 1.45822
(ii) Obstruction class = −1
(iii) Cusp Shapes = 64.8920u
119
+ 14.0763u
118
+ ··· − 80.1155u + 70.0515
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
120
+ 49u
119
+ ··· + 140u + 1
c
2
, c
5
u
120
+ u
119
+ ··· + 20u + 1
c
3
u
120
− 15u
119
+ ··· − 620400u + 166375
c
4
u
120
+ 5u
119
+ ··· − 14u + 1
c
6
, c
9
u
120
+ u
119
+ ··· + 10u
3
+ 1
c
7
u
120
− 5u
119
+ ··· − 1412636u + 186749
c
8
, c
12
u
120
+ 5u
119
+ ··· + 2u + 1
c
10
u
120
− 3u
119
+ ··· − 4u + 1
c
11
u
120
− 61u
119
+ ··· − 10u
2
+ 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
120
+ 45y
119
+ ··· + 3100y + 1
c
2
, c
5
y
120
+ 49y
119
+ ··· + 140y + 1
c
3
y
120
− 71y
119
+ ··· − 1592489167500y + 27680640625
c
4
y
120
− 87y
119
+ ··· + 408y + 1
c
6
, c
9
y
120
− 75y
119
+ ··· − 50y
2
+ 1
c
7
y
120
− 67y
119
+ ··· + 1230496216784y + 34875189001
c
8
, c
12
y
120
+ 61y
119
+ ··· − 10y
2
+ 1
c
10
y
120
+ 5y
119
+ ··· − 12y + 1
c
11
y
120
− 3y
119
+ ··· − 20y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.968815 + 0.263847I
a = 0.659879 − 0.199928I
b = −0.149910 + 0.142046I
−1.74268 + 0.44680I 0
u = −0.968815 − 0.263847I
a = 0.659879 + 0.199928I
b = −0.149910 − 0.142046I
−1.74268 − 0.44680I 0
u = −0.152224 + 0.999564I
a = 0.628170 − 0.349032I
b = −0.820693 − 0.566702I
6.48172 − 7.85840I 0
u = −0.152224 − 0.999564I
a = 0.628170 + 0.349032I
b = −0.820693 + 0.566702I
6.48172 + 7.85840I 0
u = 0.181228 + 1.000380I
a = 0.665778 + 0.361828I
b = −0.759835 + 0.576211I
3.53949 + 2.81676I 0
u = 0.181228 − 1.000380I
a = 0.665778 − 0.361828I
b = −0.759835 − 0.576211I
3.53949 − 2.81676I 0
u = −1.016110 + 0.075877I
a = −3.59461 + 4.97979I
b = 0.494087 + 0.893840I
−1.72705 + 2.19327I 0
u = −1.016110 − 0.075877I
a = −3.59461 − 4.97979I
b = 0.494087 − 0.893840I
−1.72705 − 2.19327I 0
u = 0.977597 + 0.050115I
a = 6.80136 − 6.65825I
b = 0.489268 + 0.873093I
0.77684 + 5.69004I 0
u = 0.977597 − 0.050115I
a = 6.80136 + 6.65825I
b = 0.489268 − 0.873093I
0.77684 − 5.69004I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.980721 + 0.305889I
a = −0.42680 + 1.97842I
b = 0.75112 + 1.20479I
2.37109 + 2.10139I 0
u = −0.980721 − 0.305889I
a = −0.42680 − 1.97842I
b = 0.75112 − 1.20479I
2.37109 − 2.10139I 0
u = 1.044770 + 0.006086I
a = 5.54806 − 10.76860I
b = 0.496806 − 0.855658I
0.83334 + 1.67383I 0
u = 1.044770 − 0.006086I
a = 5.54806 + 10.76860I
b = 0.496806 + 0.855658I
0.83334 − 1.67383I 0
u = 1.013380 + 0.295401I
a = −0.49253 − 2.11186I
b = 0.655672 − 1.233140I
−1.08521 − 5.57366I 0
u = 1.013380 − 0.295401I
a = −0.49253 + 2.11186I
b = 0.655672 + 1.233140I
−1.08521 + 5.57366I 0
u = −1.014450 + 0.317491I
a = −0.41222 + 2.12361I
b = 0.68609 + 1.29203I
1.66407 + 9.98438I 0
u = −1.014450 − 0.317491I
a = −0.41222 − 2.12361I
b = 0.68609 − 1.29203I
1.66407 − 9.98438I 0
u = −0.176232 + 1.050990I
a = 0.648720 − 0.420445I
b = −0.764447 − 0.669522I
7.99705 + 1.01152I 0
u = −0.176232 − 1.050990I
a = 0.648720 + 0.420445I
b = −0.764447 + 0.669522I
7.99705 − 1.01152I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.896937 + 0.239839I
a = −0.62717 − 1.30306I
b = 0.763001 − 0.935297I
0.25450 − 4.06184I 0
u = 0.896937 − 0.239839I
a = −0.62717 + 1.30306I
b = 0.763001 + 0.935297I
0.25450 + 4.06184I 0
u = 1.071210 + 0.256791I
a = −0.52867 − 2.35753I
b = 0.475064 − 1.197000I
−2.65812 − 5.38003I 0
u = 1.071210 − 0.256791I
a = −0.52867 + 2.35753I
b = 0.475064 + 1.197000I
−2.65812 + 5.38003I 0
u = 1.103570 + 0.099322I
a = 1.087890 + 0.408883I
b = −0.0420115 + 0.0939793I
0.75407 + 3.78087I 0
u = 1.103570 − 0.099322I
a = 1.087890 − 0.408883I
b = −0.0420115 − 0.0939793I
0.75407 − 3.78087I 0
u = −1.112620 + 0.156874I
a = −0.25760 + 3.02412I
b = 0.361930 + 0.997640I
−2.52969 + 2.07522I 0
u = −1.112620 − 0.156874I
a = −0.25760 − 3.02412I
b = 0.361930 − 0.997640I
−2.52969 − 2.07522I 0
u = −0.809728 + 0.313104I
a = 0.160608 + 1.160160I
b = 1.020180 + 0.770560I
4.44661 + 7.34329I 0
u = −0.809728 − 0.313104I
a = 0.160608 − 1.160160I
b = 1.020180 − 0.770560I
4.44661 − 7.34329I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.038039 + 1.134720I
a = 0.606548 + 0.585687I
b = −0.667570 + 1.059470I
4.9888 − 13.4302I 0
u = −0.038039 − 1.134720I
a = 0.606548 − 0.585687I
b = −0.667570 − 1.059470I
4.9888 + 13.4302I 0
u = −0.860453 + 0.039621I
a = 0.54434 + 2.52969I
b = 0.469210 − 0.808965I
−1.45171 − 1.78880I 0
u = −0.860453 − 0.039621I
a = 0.54434 − 2.52969I
b = 0.469210 + 0.808965I
−1.45171 + 1.78880I 0
u = 0.785804 + 0.319574I
a = 1.80582 − 0.19070I
b = 0.188827 + 0.780626I
−0.06237 − 2.97353I 0
u = 0.785804 − 0.319574I
a = 1.80582 + 0.19070I
b = 0.188827 − 0.780626I
−0.06237 + 2.97353I 0
u = 0.796985 + 0.285519I
a = 0.100275 − 0.981468I
b = 0.939637 − 0.720732I
1.45532 − 3.16041I 0
u = 0.796985 − 0.285519I
a = 0.100275 + 0.981468I
b = 0.939637 + 0.720732I
1.45532 + 3.16041I 0
u = 0.046348 + 1.158610I
a = 0.610448 − 0.581415I
b = −0.643815 − 1.035610I
2.16104 + 8.14604I 0
u = 0.046348 − 1.158610I
a = 0.610448 + 0.581415I
b = −0.643815 + 1.035610I
2.16104 − 8.14604I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.770155 + 0.309408I
a = 0.316848 + 0.982259I
b = 1.019390 + 0.638770I
4.70810 − 0.68888I 0
u = −0.770155 − 0.309408I
a = 0.316848 − 0.982259I
b = 1.019390 − 0.638770I
4.70810 + 0.68888I 0
u = 0.001482 + 1.178390I
a = 0.608990 + 0.571667I
b = −0.673629 + 0.982643I
7.04852 − 4.43074I 0
u = 0.001482 − 1.178390I
a = 0.608990 − 0.571667I
b = −0.673629 − 0.982643I
7.04852 + 4.43074I 0
u = −0.778967 + 0.189468I
a = 1.63573 + 0.80594I
b = 0.333011 − 0.762303I
−1.66369 − 1.05593I 0
u = −0.778967 − 0.189468I
a = 1.63573 − 0.80594I
b = 0.333011 + 0.762303I
−1.66369 + 1.05593I 0
u = −0.610777 + 1.061180I
a = 0.524096 + 0.458653I
b = −0.370822 + 0.886828I
−2.45608 + 0.11705I 0
u = −0.610777 − 1.061180I
a = 0.524096 − 0.458653I
b = −0.370822 − 0.886828I
−2.45608 − 0.11705I 0
u = −1.209000 + 0.281705I
a = −0.22654 + 2.18315I
b = 0.113592 + 1.264190I
−2.30249 + 2.61766I 0
u = −1.209000 − 0.281705I
a = −0.22654 − 2.18315I
b = 0.113592 − 1.264190I
−2.30249 − 2.61766I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.173200 + 0.499513I
a = 0.016542 − 0.248526I
b = −0.674425 + 0.293435I
−3.26933 + 1.94065I 0
u = −1.173200 − 0.499513I
a = 0.016542 + 0.248526I
b = −0.674425 − 0.293435I
−3.26933 − 1.94065I 0
u = −1.235230 + 0.330826I
a = −0.33660 + 2.05709I
b = 0.000090 + 1.376030I
−3.88318 + 10.29360I 0
u = −1.235230 − 0.330826I
a = −0.33660 − 2.05709I
b = 0.000090 − 1.376030I
−3.88318 − 10.29360I 0
u = 1.249370 + 0.315680I
a = −0.27835 − 2.02802I
b = −0.020794 − 1.319000I
−6.37245 − 5.49943I 0
u = 1.249370 − 0.315680I
a = −0.27835 + 2.02802I
b = −0.020794 + 1.319000I
−6.37245 + 5.49943I 0
u = 0.667871 + 0.238591I
a = 0.571406 − 0.367639I
b = 0.693768 − 0.342077I
1.43597 − 1.44832I 0
u = 0.667871 − 0.238591I
a = 0.571406 + 0.367639I
b = 0.693768 + 0.342077I
1.43597 + 1.44832I 0
u = 0.296341 + 1.266470I
a = 0.588887 − 0.562357I
b = −0.481408 − 0.968073I
−1.61974 + 5.47678I 0
u = 0.296341 − 1.266470I
a = 0.588887 + 0.562357I
b = −0.481408 + 0.968073I
−1.61974 − 5.47678I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.167494 + 0.661720I
a = 0.903205 + 0.107287I
b = −0.389075 + 0.210986I
−0.02978 + 1.99251I 0. − 4.09661I
u = 0.167494 − 0.661720I
a = 0.903205 − 0.107287I
b = −0.389075 − 0.210986I
−0.02978 − 1.99251I 0. + 4.09661I
u = 1.214800 + 0.521187I
a = −0.161544 + 0.233318I
b = −0.800241 − 0.340413I
−2.96816 − 6.77417I 0
u = 1.214800 − 0.521187I
a = −0.161544 − 0.233318I
b = −0.800241 + 0.340413I
−2.96816 + 6.77417I 0
u = −0.358202 + 0.575222I
a = 0.775608 + 0.253363I
b = 0.055198 + 0.935323I
−1.86867 + 2.32778I −4.16150 − 4.26008I
u = −0.358202 − 0.575222I
a = 0.775608 − 0.253363I
b = 0.055198 − 0.935323I
−1.86867 − 2.32778I −4.16150 + 4.26008I
u = −0.577597 + 0.322617I
a = 1.010470 + 0.496488I
b = 0.963749 − 0.118733I
5.13731 + 3.86705I 8.70425 − 5.11738I
u = −0.577597 − 0.322617I
a = 1.010470 − 0.496488I
b = 0.963749 + 0.118733I
5.13731 − 3.86705I 8.70425 + 5.11738I
u = 0.980105 + 0.918904I
a = 1.101110 + 0.850671I
b = −0.372805 + 0.876227I
−0.91368 + 2.12098I 0
u = 0.980105 − 0.918904I
a = 1.101110 − 0.850671I
b = −0.372805 − 0.876227I
−0.91368 − 2.12098I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.313230 + 0.309824I
a = −0.19412 − 1.83541I
b = −0.156769 − 1.226740I
−8.13253 − 3.85633I 0
u = 1.313230 − 0.309824I
a = −0.19412 + 1.83541I
b = −0.156769 + 1.226740I
−8.13253 + 3.85633I 0
u = 0.239956 + 0.595319I
a = 0.855037 − 0.298245I
b = 0.103548 − 1.063830I
0.32262 − 6.94765I 0. + 7.76889I
u = 0.239956 − 0.595319I
a = 0.855037 + 0.298245I
b = 0.103548 + 1.063830I
0.32262 + 6.94765I 0. − 7.76889I
u = 1.253970 + 0.545654I
a = −0.386501 + 0.134294I
b = −0.933728 − 0.457141I
0.18231 − 8.32135I 0
u = 1.253970 − 0.545654I
a = −0.386501 − 0.134294I
b = −0.933728 + 0.457141I
0.18231 + 8.32135I 0
u = 0.553827 + 0.295260I
a = 1.015630 − 0.401726I
b = 0.840275 + 0.199641I
1.97978 + 0.12263I 5.24306 + 0.97466I
u = 0.553827 − 0.295260I
a = 1.015630 + 0.401726I
b = 0.840275 − 0.199641I
1.97978 − 0.12263I 5.24306 − 0.97466I
u = −1.262070 + 0.544014I
a = −0.442388 − 0.143298I
b = −0.973198 + 0.463991I
3.02818 + 13.35620I 0
u = −1.262070 − 0.544014I
a = −0.442388 + 0.143298I
b = −0.973198 − 0.463991I
3.02818 − 13.35620I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.533608 + 0.325223I
a = 1.095880 + 0.423478I
b = 0.947198 − 0.291731I
5.07577 − 4.18287I 8.41753 + 2.84009I
u = −0.533608 − 0.325223I
a = 1.095880 − 0.423478I
b = 0.947198 + 0.291731I
5.07577 + 4.18287I 8.41753 − 2.84009I
u = −1.255710 + 0.560612I
a = −0.384857 − 0.039679I
b = −0.911581 + 0.519532I
4.62850 + 4.66407I 0
u = −1.255710 − 0.560612I
a = −0.384857 + 0.039679I
b = −0.911581 − 0.519532I
4.62850 − 4.66407I 0
u = −1.358890 + 0.306655I
a = −0.13484 + 1.70545I
b = −0.229309 + 1.162940I
−7.59861 − 0.89325I 0
u = −1.358890 − 0.306655I
a = −0.13484 − 1.70545I
b = −0.229309 − 1.162940I
−7.59861 + 0.89325I 0
u = 1.203120 + 0.734855I
a = 0.027731 − 0.334252I
b = −0.599287 − 0.692681I
3.23852 − 2.41685I 0
u = 1.203120 − 0.734855I
a = 0.027731 + 0.334252I
b = −0.599287 + 0.692681I
3.23852 + 2.41685I 0
u = −1.34874 + 0.56518I
a = 0.86245 − 1.78711I
b = −0.688200 − 1.155230I
0.8979 + 19.3944I 0
u = −1.34874 − 0.56518I
a = 0.86245 + 1.78711I
b = −0.688200 + 1.155230I
0.8979 − 19.3944I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.33327 + 0.60917I
a = 0.96984 + 1.62324I
b = −0.592079 + 1.118120I
−5.23361 − 11.94400I 0
u = 1.33327 − 0.60917I
a = 0.96984 − 1.62324I
b = −0.592079 − 1.118120I
−5.23361 + 11.94400I 0
u = 1.34944 + 0.57275I
a = 0.87233 + 1.75095I
b = −0.672445 + 1.142200I
−1.9116 − 14.1946I 0
u = 1.34944 − 0.57275I
a = 0.87233 − 1.75095I
b = −0.672445 − 1.142200I
−1.9116 + 14.1946I 0
u = −1.32765 + 0.63998I
a = 0.99370 − 1.52844I
b = −0.554941 − 1.087880I
−5.45393 + 6.64274I 0
u = −1.32765 − 0.63998I
a = 0.99370 + 1.52844I
b = −0.554941 + 1.087880I
−5.45393 − 6.64274I 0
u = −1.36344 + 0.57413I
a = 0.81668 − 1.71870I
b = −0.686542 − 1.110040I
2.81883 + 10.53640I 0
u = −1.36344 − 0.57413I
a = 0.81668 + 1.71870I
b = −0.686542 + 1.110040I
2.81883 − 10.53640I 0
u = 0.424899 + 0.205618I
a = 1.067090 − 0.216970I
b = 0.643871 + 0.623380I
1.27885 + 1.47875I 5.53375 − 2.68402I
u = 0.424899 − 0.205618I
a = 1.067090 + 0.216970I
b = 0.643871 − 0.623380I
1.27885 − 1.47875I 5.53375 + 2.68402I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.123469 + 0.432298I
a = 0.971527 − 0.185504I
b = 0.336621 − 1.039230I
1.44222 + 0.10917I 4.60096 + 0.74170I
u = 0.123469 − 0.432298I
a = 0.971527 + 0.185504I
b = 0.336621 + 1.039230I
1.44222 − 0.10917I 4.60096 − 0.74170I
u = −0.276422 + 0.340856I
a = 1.205550 + 0.069698I
b = 0.780050 − 0.899823I
4.11544 + 0.85046I 6.11573 − 1.78886I
u = −0.276422 − 0.340856I
a = 1.205550 − 0.069698I
b = 0.780050 + 0.899823I
4.11544 − 0.85046I 6.11573 + 1.78886I
u = −0.212788 + 0.372080I
a = 1.205710 − 0.009087I
b = 0.730879 − 0.999223I
3.70461 − 6.97242I 5.18722 + 5.39084I
u = −0.212788 − 0.372080I
a = 1.205710 + 0.009087I
b = 0.730879 + 0.999223I
3.70461 + 6.97242I 5.18722 − 5.39084I
u = −1.30421 + 0.88979I
a = 0.94760 − 1.13085I
b = −0.467146 − 0.945798I
−2.98311 + 3.49171I 0
u = −1.30421 − 0.88979I
a = 0.94760 + 1.13085I
b = −0.467146 + 0.945798I
−2.98311 − 3.49171I 0
u = 0.207285 + 0.315281I
a = 1.154330 − 0.015311I
b = 0.682752 + 0.937247I
0.91997 + 2.77577I 1.30667 − 1.85853I
u = 0.207285 − 0.315281I
a = 1.154330 + 0.015311I
b = 0.682752 − 0.937247I
0.91997 − 2.77577I 1.30667 + 1.85853I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.62344 + 0.10903I
a = 0.421703 + 1.264650I
b = −0.425694 + 0.762045I
0.77146 + 3.14468I 0
u = 1.62344 − 0.10903I
a = 0.421703 − 1.264650I
b = −0.425694 − 0.762045I
0.77146 − 3.14468I 0
u = 1.48787 + 0.67491I
a = 0.72782 + 1.35166I
b = −0.586014 + 0.941382I
2.49361 − 7.12682I 0
u = 1.48787 − 0.67491I
a = 0.72782 − 1.35166I
b = −0.586014 − 0.941382I
2.49361 + 7.12682I 0
u = 0.032839 + 0.299374I
a = 1.058460 + 0.071287I
b = 0.517309 + 0.978254I
−0.04044 + 2.94917I 3.38791 − 1.67057I
u = 0.032839 − 0.299374I
a = 1.058460 − 0.071287I
b = 0.517309 − 0.978254I
−0.04044 − 2.94917I 3.38791 + 1.67057I
u = −1.70082 + 0.27242I
a = 0.180150 + 1.217840I
b = −0.429150 + 0.914214I
−3.30551 − 1.68181I 0
u = −1.70082 − 0.27242I
a = 0.180150 − 1.217840I
b = −0.429150 − 0.914214I
−3.30551 + 1.68181I 0
u = 1.64495 + 0.53139I
a = 0.015327 − 1.035890I
b = −0.514628 − 0.947526I
0.05005 + 7.11615I 0
u = 1.64495 − 0.53139I
a = 0.015327 + 1.035890I
b = −0.514628 + 0.947526I
0.05005 − 7.11615I 0
16
II. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
120
+ 49u
119
+ ··· + 140u + 1
c
2
, c
5
u
120
+ u
119
+ ··· + 20u + 1
c
3
u
120
− 15u
119
+ ··· − 620400u + 166375
c
4
u
120
+ 5u
119
+ ··· − 14u + 1
c
6
, c
9
u
120
+ u
119
+ ··· + 10u
3
+ 1
c
7
u
120
− 5u
119
+ ··· − 1412636u + 186749
c
8
, c
12
u
120
+ 5u
119
+ ··· + 2u + 1
c
10
u
120
− 3u
119
+ ··· − 4u + 1
c
11
u
120
− 61u
119
+ ··· − 10u
2
+ 1
17
III. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
120
+ 45y
119
+ ··· + 3100y + 1
c
2
, c
5
y
120
+ 49y
119
+ ··· + 140y + 1
c
3
y
120
− 71y
119
+ ··· − 1592489167500y + 27680640625
c
4
y
120
− 87y
119
+ ··· + 408y + 1
c
6
, c
9
y
120
− 75y
119
+ ··· − 50y
2
+ 1
c
7
y
120
− 67y
119
+ ··· + 1230496216784y + 34875189001
c
8
, c
12
y
120
+ 61y
119
+ ··· − 10y
2
+ 1
c
10
y
120
+ 5y
119
+ ··· − 12y + 1
c
11
y
120
− 3y
119
+ ··· − 20y + 1
18
