12a
0333
(K12a
0333
)
A knot diagram
1
Linearized knot diagam
3 6 8 11 9 2 10 1 7 12 5 4
Solving Sequence
4,11
5 12
1,8
9 6 3 2 10 7
c
4
c
11
c
12
c
8
c
5
c
3
c
2
c
10
c
7
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.20734 × 10
126
u
119
+ 2.46333 × 10
126
u
118
+ ··· + 3.54053 × 10
125
b + 4.43052 × 10
125
,
3.79147 × 10
125
u
119
+ 1.43350 × 10
125
u
118
+ ··· + 3.54053 × 10
125
a − 4.94486 × 10
125
, u
120
+ 3u
119
+ ··· + 2u + 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
= h1.21 × 10
126
u
119
+ 2.46 × 10
126
u
118
+ · · · + 3.54 × 10
125
b + 4.43 ×
10
125
, 3.79 × 10
125
u
119
+ 1.43 × 10
125
u
118
+ · · · + 3.54 × 10
125
a − 4.94 ×
10
125
, u
120
+ 3u
119
+ · · · + 2u + 1i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
5
=
1
u
2
a
12
=
−u
−u
3
+ u
a
1
=
−u
3
−u
3
+ u
a
8
=
−1.07088u
119
− 0.404884u
118
+ ··· − 1.06912u + 1.39664
−3.41004u
119
− 6.95753u
118
+ ··· − 4.08476u − 1.25137
a
9
=
−1.10879u
119
− 0.667261u
118
+ ··· − 1.24150u + 1.18917
−3.20538u
119
− 6.69967u
118
+ ··· − 4.21800u − 1.27669
a
6
=
−6.11682u
119
− 9.64072u
118
+ ··· − 0.615382u − 3.46092
−4.22643u
119
− 6.06316u
118
+ ··· + 5.77722u − 1.25101
a
3
=
9.55745u
119
+ 15.8859u
118
+ ··· + 8.75147u + 4.29676
4.22090u
119
+ 7.00859u
118
+ ··· + 16.1434u + 8.70903
a
2
=
11.4755u
119
+ 27.6957u
118
+ ··· + 10.6546u + 7.38802
2.78667u
119
+ 10.9141u
118
+ ··· + 11.1166u + 3.67666
a
10
=
u
3
u
5
− u
3
+ u
a
7
=
−1.49406u
119
− 1.43715u
118
+ ··· − 1.45193u + 0.634651
−4.21529u
119
− 8.96618u
118
+ ··· − 7.00577u − 1.78600
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.73851u
119
− 7.21969u
118
+ ··· − 14.7819u − 2.34006
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
120
+ 45u
119
+ ··· − 34u
2
+ 1
c
2
, c
6
u
120
− u
119
+ ··· − 6u
3
+ 1
c
3
u
120
− 49u
119
+ ··· − 10414u + 557
c
4
, c
11
u
120
+ 3u
119
+ ··· + 2u + 1
c
5
u
120
+ 45u
119
+ ··· + 7856120u + 971617
c
7
, c
9
u
120
+ u
119
+ ··· + 28u + 1
c
8
u
120
+ 5u
119
+ ··· + 12u + 1
c
10
u
120
+ 59u
119
+ ··· + 6u
2
+ 1
c
12
u
120
+ 9u
119
+ ··· − 404318u + 65969
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
120
+ 61y
119
+ ··· − 68y + 1
c
2
, c
6
y
120
+ 45y
119
+ ··· − 34y
2
+ 1
c
3
y
120
− 603y
119
+ ··· − 24727612y + 310249
c
4
, c
11
y
120
− 59y
119
+ ··· + 6y
2
+ 1
c
5
y
120
− 639y
119
+ ··· − 56197112480332y + 944039594689
c
7
, c
9
y
120
− 79y
119
+ ··· + 108y + 1
c
8
y
120
− 3y
119
+ ··· − 60y + 1
c
10
y
120
+ 5y
119
+ ··· + 12y + 1
c
12
y
120
+ 49y
119
+ ··· − 260893161688y + 4351908961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.979856 + 0.344337I
a = 1.09366 + 0.96908I
b = −0.363071 + 0.138763I
0.62225 − 3.02138I 0
u = −0.979856 − 0.344337I
a = 1.09366 − 0.96908I
b = −0.363071 − 0.138763I
0.62225 + 3.02138I 0
u = 0.324737 + 0.902702I
a = 0.276812 + 0.016151I
b = 0.489944 − 0.577252I
4.18323 + 3.09968I 0
u = 0.324737 − 0.902702I
a = 0.276812 − 0.016151I
b = 0.489944 + 0.577252I
4.18323 − 3.09968I 0
u = −0.171558 + 0.943685I
a = −0.193763 − 0.269957I
b = 0.112001 − 0.316899I
1.92595 + 3.80713I 0
u = −0.171558 − 0.943685I
a = −0.193763 + 0.269957I
b = 0.112001 + 0.316899I
1.92595 − 3.80713I 0
u = −0.761541 + 0.710272I
a = −0.529374 − 0.492267I
b = −0.672411 + 1.215670I
6.12981 + 11.58910I 0
u = −0.761541 − 0.710272I
a = −0.529374 + 0.492267I
b = −0.672411 − 1.215670I
6.12981 − 11.58910I 0
u = 0.767501 + 0.722782I
a = 0.575940 − 0.354501I
b = 0.498118 + 1.157700I
7.84829 − 5.50381I 0
u = 0.767501 − 0.722782I
a = 0.575940 + 0.354501I
b = 0.498118 − 1.157700I
7.84829 + 5.50381I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.976991 + 0.397527I
a = −1.28088 + 0.80343I
b = 0.254492 − 0.367447I
1.34359 − 1.89187I 0
u = 0.976991 − 0.397527I
a = −1.28088 − 0.80343I
b = 0.254492 + 0.367447I
1.34359 + 1.89187I 0
u = −0.677820 + 0.808170I
a = −0.197815 − 0.094008I
b = −0.528005 + 0.471225I
0.18750 + 3.33247I 0
u = −0.677820 − 0.808170I
a = −0.197815 + 0.094008I
b = −0.528005 − 0.471225I
0.18750 − 3.33247I 0
u = −1.05515
a = −1.05269
b = −0.630172
−1.68544 0
u = −0.834199 + 0.699354I
a = −0.954568 + 0.410532I
b = 0.467867 + 1.072280I
5.92230 − 6.26866I 0
u = −0.834199 − 0.699354I
a = −0.954568 − 0.410532I
b = 0.467867 − 1.072280I
5.92230 + 6.26866I 0
u = −0.813951 + 0.398465I
a = −0.429377 + 1.103900I
b = 0.160266 + 0.083993I
−1.81976 + 1.21553I 0
u = −0.813951 − 0.398465I
a = −0.429377 − 1.103900I
b = 0.160266 − 0.083993I
−1.81976 − 1.21553I 0
u = 0.831410 + 0.719173I
a = 0.820300 + 0.252864I
b = −0.264529 + 1.037440I
7.66835 + 0.09297I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.831410 − 0.719173I
a = 0.820300 − 0.252864I
b = −0.264529 − 1.037440I
7.66835 − 0.09297I 0
u = 0.290332 + 0.844265I
a = 0.412571 + 0.243861I
b = 0.96998 − 1.22147I
5.15191 + 8.18955I 0
u = 0.290332 − 0.844265I
a = 0.412571 − 0.243861I
b = 0.96998 + 1.22147I
5.15191 − 8.18955I 0
u = −0.316699 + 0.831772I
a = −0.260078 + 0.219002I
b = −1.115100 − 0.753088I
−1.89051 − 6.35992I 0
u = −0.316699 − 0.831772I
a = −0.260078 − 0.219002I
b = −1.115100 + 0.753088I
−1.89051 + 6.35992I 0
u = 1.089150 + 0.234904I
a = 1.80307 + 0.24588I
b = 1.018600 + 0.404078I
−4.15140 − 4.50015I 0
u = 1.089150 − 0.234904I
a = 1.80307 − 0.24588I
b = 1.018600 − 0.404078I
−4.15140 + 4.50015I 0
u = −0.286154 + 0.838179I
a = −0.415933 + 0.302299I
b = −1.12271 − 1.31896I
3.4719 − 14.1532I 0
u = −0.286154 − 0.838179I
a = −0.415933 − 0.302299I
b = −1.12271 + 1.31896I
3.4719 + 14.1532I 0
u = −0.698078 + 0.518282I
a = −0.00357 + 1.74069I
b = 0.684357 − 0.598030I
1.02759 + 6.71407I 0. − 9.53783I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.698078 − 0.518282I
a = −0.00357 − 1.74069I
b = 0.684357 + 0.598030I
1.02759 − 6.71407I 0. + 9.53783I
u = 1.044660 + 0.435012I
a = −2.23762 + 0.53331I
b = −0.719465 − 1.126900I
−0.02482 − 2.22257I 0
u = 1.044660 − 0.435012I
a = −2.23762 − 0.53331I
b = −0.719465 + 1.126900I
−0.02482 + 2.22257I 0
u = 1.020500 + 0.498431I
a = −0.652839 + 0.488485I
b = 0.092070 − 1.215700I
3.23486 − 0.38929I 0
u = 1.020500 − 0.498431I
a = −0.652839 − 0.488485I
b = 0.092070 + 1.215700I
3.23486 + 0.38929I 0
u = −1.076580 + 0.378949I
a = 1.15257 + 1.55328I
b = 0.769790 + 0.474045I
−2.77897 + 1.18278I 0
u = −1.076580 − 0.378949I
a = 1.15257 − 1.55328I
b = 0.769790 − 0.474045I
−2.77897 − 1.18278I 0
u = −1.032920 + 0.505731I
a = 0.245975 + 0.413112I
b = −0.073973 − 1.102930I
3.37682 + 5.48598I 0
u = −1.032920 − 0.505731I
a = 0.245975 − 0.413112I
b = −0.073973 + 1.102930I
3.37682 − 5.48598I 0
u = −1.091040 + 0.431738I
a = 4.85889 + 5.71513I
b = 4.89829 + 0.38098I
−1.02292 + 5.65821I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.091040 − 0.431738I
a = 4.85889 − 5.71513I
b = 4.89829 − 0.38098I
−1.02292 − 5.65821I 0
u = 0.660166 + 0.493992I
a = −0.29803 + 1.59123I
b = −0.445578 − 0.769412I
2.13373 − 1.83530I 5.17783 + 4.58003I
u = 0.660166 − 0.493992I
a = −0.29803 − 1.59123I
b = −0.445578 + 0.769412I
2.13373 + 1.83530I 5.17783 − 4.58003I
u = −1.131570 + 0.329651I
a = 1.19322 + 0.96903I
b = 0.869209 + 0.761560I
−3.37533 + 0.37024I 0
u = −1.131570 − 0.329651I
a = 1.19322 − 0.96903I
b = 0.869209 − 0.761560I
−3.37533 − 0.37024I 0
u = −1.075110 + 0.492379I
a = −1.13838 − 1.46213I
b = −1.27344 − 0.72132I
0.47500 + 4.53395I 0
u = −1.075110 − 0.492379I
a = −1.13838 + 1.46213I
b = −1.27344 + 0.72132I
0.47500 − 4.53395I 0
u = 1.141380 + 0.312790I
a = −1.40861 + 0.91446I
b = −1.054980 + 0.838300I
−4.89679 + 4.65011I 0
u = 1.141380 − 0.312790I
a = −1.40861 − 0.91446I
b = −1.054980 − 0.838300I
−4.89679 − 4.65011I 0
u = 1.096310 + 0.460123I
a = 11.4019 − 26.8572I
b = 19.2908 − 7.8522I
−0.82002 − 1.64527I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.096310 − 0.460123I
a = 11.4019 + 26.8572I
b = 19.2908 + 7.8522I
−0.82002 + 1.64527I 0
u = −1.18948
a = −0.950978
b = −0.616281
−1.66019 0
u = −0.702662 + 0.388268I
a = 0.601372 + 0.300948I
b = −1.097330 − 0.318766I
0.79969 − 2.86212I 1.25285 + 0.98098I
u = −0.702662 − 0.388268I
a = 0.601372 − 0.300948I
b = −1.097330 + 0.318766I
0.79969 + 2.86212I 1.25285 − 0.98098I
u = −1.115540 + 0.439696I
a = −0.398178 + 1.288090I
b = 0.419244 + 0.947562I
−2.49083 + 1.59231I 0
u = −1.115540 − 0.439696I
a = −0.398178 − 1.288090I
b = 0.419244 − 0.947562I
−2.49083 − 1.59231I 0
u = −1.079350 + 0.524191I
a = −1.81683 + 0.14134I
b = −0.255130 + 0.176076I
2.54525 + 4.64503I 0
u = −1.079350 − 0.524191I
a = −1.81683 − 0.14134I
b = −0.255130 − 0.176076I
2.54525 − 4.64503I 0
u = 1.087490 + 0.528401I
a = 2.14413 + 0.14776I
b = 0.246410 + 0.487523I
2.02256 − 9.76114I 0
u = 1.087490 − 0.528401I
a = 2.14413 − 0.14776I
b = 0.246410 − 0.487523I
2.02256 + 9.76114I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.189370 + 0.223697I
a = 1.58163 − 0.92063I
b = 1.206410 − 0.458400I
−6.80677 + 3.25920I 0
u = 1.189370 − 0.223697I
a = 1.58163 + 0.92063I
b = 1.206410 + 0.458400I
−6.80677 − 3.25920I 0
u = 1.108750 + 0.499251I
a = 2.74289 − 0.03774I
b = 1.07835 + 1.19608I
−1.91179 − 6.14484I 0
u = 1.108750 − 0.499251I
a = 2.74289 + 0.03774I
b = 1.07835 − 1.19608I
−1.91179 + 6.14484I 0
u = 1.171060 + 0.335117I
a = −1.159990 + 0.458730I
b = −1.006160 + 0.414342I
−8.24695 − 1.94958I 0
u = 1.171060 − 0.335117I
a = −1.159990 − 0.458730I
b = −1.006160 − 0.414342I
−8.24695 + 1.94958I 0
u = 1.124950 + 0.491772I
a = 1.90026 + 0.59809I
b = 0.396104 + 1.286160I
−2.00613 − 6.04917I 0
u = 1.124950 − 0.491772I
a = 1.90026 − 0.59809I
b = 0.396104 − 1.286160I
−2.00613 + 6.04917I 0
u = −0.197792 + 0.745397I
a = 0.138326 − 0.760120I
b = 0.722850 + 0.496843I
−4.20426 − 1.55011I −5.15713 + 0.81242I
u = −0.197792 − 0.745397I
a = 0.138326 + 0.760120I
b = 0.722850 − 0.496843I
−4.20426 + 1.55011I −5.15713 − 0.81242I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.251363 + 0.728534I
a = 0.451399 − 1.047470I
b = 0.876667 + 0.901266I
−0.82094 − 7.82039I 0.42967 + 7.46898I
u = −0.251363 − 0.728534I
a = 0.451399 + 1.047470I
b = 0.876667 − 0.901266I
−0.82094 + 7.82039I 0.42967 − 7.46898I
u = 1.215830 + 0.248185I
a = 1.31511 − 1.65542I
b = 1.17340 − 1.08861I
−1.37922 + 10.80190I 0
u = 1.215830 − 0.248185I
a = 1.31511 + 1.65542I
b = 1.17340 + 1.08861I
−1.37922 − 10.80190I 0
u = −1.221170 + 0.241017I
a = −1.14573 − 1.47695I
b = −0.998601 − 0.982734I
0.23902 − 4.83774I 0
u = −1.221170 − 0.241017I
a = −1.14573 + 1.47695I
b = −0.998601 + 0.982734I
0.23902 + 4.83774I 0
u = 0.512274 + 0.551955I
a = −1.57519 + 1.38221I
b = −0.070032 − 1.058420I
4.72396 − 3.86670I 8.43902 + 6.01110I
u = 0.512274 − 0.551955I
a = −1.57519 − 1.38221I
b = −0.070032 + 1.058420I
4.72396 + 3.86670I 8.43902 − 6.01110I
u = 1.134080 + 0.527150I
a = 2.11224 − 0.65937I
b = 0.780407 + 1.013240I
−2.01212 − 7.48043I 0
u = 1.134080 − 0.527150I
a = 2.11224 + 0.65937I
b = 0.780407 − 1.013240I
−2.01212 + 7.48043I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.246230 + 0.704413I
a = −0.567715 − 0.854711I
b = −0.698995 + 0.907309I
0.53863 + 2.78783I 2.73261 − 2.99922I
u = 0.246230 − 0.704413I
a = −0.567715 + 0.854711I
b = −0.698995 − 0.907309I
0.53863 − 2.78783I 2.73261 + 2.99922I
u = −1.138730 + 0.533845I
a = −2.12484 − 0.95345I
b = −0.909882 + 1.018810I
−3.38807 + 12.59600I 0
u = −1.138730 − 0.533845I
a = −2.12484 + 0.95345I
b = −0.909882 − 1.018810I
−3.38807 − 12.59600I 0
u = −0.482895 + 0.559197I
a = 1.71895 + 1.14574I
b = 0.026055 − 0.870208I
4.98517 − 1.18092I 9.24677 + 0.95822I
u = −0.482895 − 0.559197I
a = 1.71895 − 1.14574I
b = 0.026055 + 0.870208I
4.98517 + 1.18092I 9.24677 − 0.95822I
u = −1.153890 + 0.521665I
a = −1.42018 − 0.79912I
b = −0.766400 + 0.701073I
−6.96693 + 6.28883I 0
u = −1.153890 − 0.521665I
a = −1.42018 + 0.79912I
b = −0.766400 − 0.701073I
−6.96693 − 6.28883I 0
u = 0.354503 + 0.633986I
a = −1.71274 − 0.26068I
b = −0.106565 + 0.669466I
4.13174 + 5.19741I 6.94261 − 6.82308I
u = 0.354503 − 0.633986I
a = −1.71274 + 0.26068I
b = −0.106565 − 0.669466I
4.13174 − 5.19741I 6.94261 + 6.82308I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372449 + 0.615008I
a = 1.78118 + 0.00872I
b = 0.087025 + 0.391314I
4.58226 − 0.13777I 8.52333 + 0.22552I
u = −0.372449 − 0.615008I
a = 1.78118 − 0.00872I
b = 0.087025 − 0.391314I
4.58226 + 0.13777I 8.52333 − 0.22552I
u = −1.155470 + 0.581160I
a = 1.96263 + 0.83303I
b = 1.25986 − 0.82885I
−4.39767 + 11.60140I 0
u = −1.155470 − 0.581160I
a = 1.96263 − 0.83303I
b = 1.25986 + 0.82885I
−4.39767 − 11.60140I 0
u = 0.580824 + 0.398636I
a = −0.684279 + 0.948142I
b = 0.114790 − 1.099190I
1.47406 − 1.29391I 5.74032 + 3.73465I
u = 0.580824 − 0.398636I
a = −0.684279 − 0.948142I
b = 0.114790 + 1.099190I
1.47406 + 1.29391I 5.74032 − 3.73465I
u = 0.657098 + 0.253914I
a = −0.678281 + 0.458482I
b = 1.47795 − 0.86919I
1.54917 − 1.60121I 4.61531 + 10.34510I
u = 0.657098 − 0.253914I
a = −0.678281 − 0.458482I
b = 1.47795 + 0.86919I
1.54917 + 1.60121I 4.61531 − 10.34510I
u = 1.249640 + 0.348443I
a = −0.569455 − 0.369945I
b = −0.528300 − 0.241301I
−2.64160 − 8.04873I 0
u = 1.249640 − 0.348443I
a = −0.569455 + 0.369945I
b = −0.528300 + 0.241301I
−2.64160 + 8.04873I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.165610 + 0.574178I
a = 2.57578 + 0.44640I
b = 1.23887 − 1.38107I
0.8486 + 19.3744I 0
u = −1.165610 − 0.574178I
a = 2.57578 − 0.44640I
b = 1.23887 + 1.38107I
0.8486 − 19.3744I 0
u = 1.166220 + 0.577344I
a = −2.35979 + 0.34738I
b = −1.09116 − 1.27325I
2.53534 − 13.43940I 0
u = 1.166220 − 0.577344I
a = −2.35979 − 0.34738I
b = −1.09116 + 1.27325I
2.53534 + 13.43940I 0
u = −1.127840 + 0.672415I
a = 0.479675 + 0.571724I
b = 0.562659 − 0.013712I
−1.20667 + 2.55074I 0
u = −1.127840 − 0.672415I
a = 0.479675 − 0.571724I
b = 0.562659 + 0.013712I
−1.20667 − 2.55074I 0
u = 1.167230 + 0.601982I
a = −1.355330 + 0.313289I
b = −0.706384 − 0.633643I
1.63424 − 8.58607I 0
u = 1.167230 − 0.601982I
a = −1.355330 − 0.313289I
b = −0.706384 + 0.633643I
1.63424 + 8.58607I 0
u = 0.238439 + 0.601148I
a = −0.727069 − 0.121720I
b = −0.562859 + 1.111690I
0.51776 + 1.80280I 1.24484 − 3.47897I
u = 0.238439 − 0.601148I
a = −0.727069 + 0.121720I
b = −0.562859 − 1.111690I
0.51776 − 1.80280I 1.24484 + 3.47897I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.315898 + 0.557333I
a = 0.160259 + 0.076062I
b = −0.770851 + 0.634078I
−0.23503 + 2.29897I −0.63836 − 2.70248I
u = −0.315898 − 0.557333I
a = 0.160259 − 0.076062I
b = −0.770851 − 0.634078I
−0.23503 − 2.29897I −0.63836 + 2.70248I
u = −1.291920 + 0.450579I
a = 0.164348 − 0.255157I
b = 0.1118940 − 0.0654741I
−1.76459 + 1.56088I 0
u = −1.291920 − 0.450579I
a = 0.164348 + 0.255157I
b = 0.1118940 + 0.0654741I
−1.76459 − 1.56088I 0
u = 0.201608 + 0.592090I
a = −0.412818 − 0.058276I
b = −0.071919 + 1.206460I
0.56650 + 1.75323I 2.28628 − 3.72791I
u = 0.201608 − 0.592090I
a = −0.412818 + 0.058276I
b = −0.071919 − 1.206460I
0.56650 − 1.75323I 2.28628 + 3.72791I
u = −0.364944 + 0.500940I
a = 1.244650 + 0.541319I
b = 1.070820 − 0.337080I
2.51480 − 0.38256I 2.40649 − 1.68541I
u = −0.364944 − 0.500940I
a = 1.244650 − 0.541319I
b = 1.070820 + 0.337080I
2.51480 + 0.38256I 2.40649 + 1.68541I
u = 0.058164 + 0.493664I
a = −0.198658 + 0.573348I
b = −1.02847 + 5.15124I
1.76036 − 2.16253I −22.5713 − 32.8688I
u = 0.058164 − 0.493664I
a = −0.198658 − 0.573348I
b = −1.02847 − 5.15124I
1.76036 + 2.16253I −22.5713 + 32.8688I
16
II. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
120
+ 45u
119
+ ··· − 34u
2
+ 1
c
2
, c
6
u
120
− u
119
+ ··· − 6u
3
+ 1
c
3
u
120
− 49u
119
+ ··· − 10414u + 557
c
4
, c
11
u
120
+ 3u
119
+ ··· + 2u + 1
c
5
u
120
+ 45u
119
+ ··· + 7856120u + 971617
c
7
, c
9
u
120
+ u
119
+ ··· + 28u + 1
c
8
u
120
+ 5u
119
+ ··· + 12u + 1
c
10
u
120
+ 59u
119
+ ··· + 6u
2
+ 1
c
12
u
120
+ 9u
119
+ ··· − 404318u + 65969
17
III. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
120
+ 61y
119
+ ··· − 68y + 1
c
2
, c
6
y
120
+ 45y
119
+ ··· − 34y
2
+ 1
c
3
y
120
− 603y
119
+ ··· − 24727612y + 310249
c
4
, c
11
y
120
− 59y
119
+ ··· + 6y
2
+ 1
c
5
y
120
− 639y
119
+ ··· − 56197112480332y + 944039594689
c
7
, c
9
y
120
− 79y
119
+ ··· + 108y + 1
c
8
y
120
− 3y
119
+ ··· − 60y + 1
c
10
y
120
+ 5y
119
+ ··· + 12y + 1
c
12
y
120
+ 49y
119
+ ··· − 260893161688y + 4351908961
18
