12a
0328
(K12a
0328
)
A knot diagram
1
Linearized knot diagam
3 6 8 11 2 1 10 5 7 12 4 9
Solving Sequence
5,11
4
9,12
1 8 3 2 10 7 6
c
4
c
11
c
12
c
8
c
3
c
1
c
10
c
7
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.70687 × 10
211
u
118
+ 3.37461 × 10
211
u
117
+ ··· + 8.64942 × 10
211
b − 9.37981 × 10
210
,
− 7.88628 × 10
211
u
118
− 1.11014 × 10
212
u
117
+ ··· + 8.64942 × 10
211
a − 7.17770 × 10
211
,
u
119
+ u
118
+ ··· + 6u
3
− 1i
* 1 irreducible components of dim
C
= 0, with total 119 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
= h1.71 × 10
211
u
118
+ 3.37 × 10
211
u
117
+ · · · + 8.65 × 10
211
b − 9.38 ×
10
210
, −7.89 × 10
211
u
118
− 1.11 × 10
212
u
117
+ · · · + 8.65 × 10
211
a − 7.18 ×
10
211
, u
119
+ u
118
+ · · · + 6u
3
− 1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
9
=
0.911771u
118
+ 1.28348u
117
+ ··· + 2.73608u + 0.829848
−0.197340u
118
− 0.390155u
117
+ ··· + 3.02815u + 0.108444
a
12
=
u
u
3
+ u
a
1
=
6.16028u
118
+ 18.7998u
117
+ ··· − 9.46738u − 6.81870
0.118377u
118
+ 0.288043u
117
+ ··· − 2.58392u − 0.347143
a
8
=
1.10911u
118
+ 1.67364u
117
+ ··· − 0.292070u + 0.721403
−0.197340u
118
− 0.390155u
117
+ ··· + 3.02815u + 0.108444
a
3
=
6.74545u
118
+ 11.0054u
117
+ ··· − 10.6102u + 6.29458
−0.402188u
118
− 0.330942u
117
+ ··· − 0.839212u − 0.854920
a
2
=
−4.89537u
118
+ 2.24574u
117
+ ··· − 9.23476u − 13.1781
−0.0909481u
118
− 0.524014u
117
+ ··· − 1.06313u + 0.256362
a
10
=
u
3
u
5
+ u
3
+ u
a
7
=
1.28677u
118
+ 1.96274u
117
+ ··· − 0.261183u + 0.837056
u
5
+ u
3
+ u
a
6
=
2.97016u
118
− 2.49208u
117
+ ··· + 10.4643u + 12.8050
−0.373239u
118
− 0.644814u
117
+ ··· + 0.823097u − 0.355463
(ii) Obstruction class = −1
(iii) Cusp Shapes = 13.5515u
118
+ 6.25918u
117
+ ··· + 10.9668u + 7.26890
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
119
+ 61u
118
+ ··· − 6u
2
+ 1
c
2
, c
5
u
119
+ 3u
118
+ ··· − 2u − 1
c
3
u
119
− 47u
118
+ ··· + 58256u + 9073
c
4
, c
11
u
119
− u
118
+ ··· + 6u
3
+ 1
c
6
u
119
+ 9u
118
+ ··· − 1371018u − 230023
c
7
, c
9
u
119
− u
118
+ ··· + 12u + 1
c
8
u
119
− 5u
118
+ ··· − 12u + 1
c
10
u
119
+ 51u
118
+ ··· + 34u
2
− 1
c
12
u
119
+ 35u
118
+ ··· − 56241420u + 3394117
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
119
− 5y
118
+ ··· + 12y −1
c
2
, c
5
y
119
− 61y
118
+ ··· + 6y
2
− 1
c
3
y
119
− 397y
118
+ ··· − 3607146724y −82319329
c
4
, c
11
y
119
+ 51y
118
+ ··· + 34y
2
− 1
c
6
y
119
+ 71y
118
+ ··· + 1471310282400y −52910580529
c
7
, c
9
y
119
− 81y
118
+ ··· − 1492y −1
c
8
y
119
+ 3y
118
+ ··· + 20y −1
c
10
y
119
+ 35y
118
+ ··· + 68y −1
c
12
y
119
− 445y
118
+ ··· + 623753540590748y −11520030209689
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.507767 + 0.852018I
a = −17.4014 − 9.7972I
b = −0.0915980 + 0.0603831I
−4.11636 − 1.62276I 0
u = 0.507767 − 0.852018I
a = −17.4014 + 9.7972I
b = −0.0915980 − 0.0603831I
−4.11636 + 1.62276I 0
u = 0.911948 + 0.435304I
a = 1.17368 − 0.88985I
b = 1.05672 − 0.95507I
−1.50578 − 8.38772I 0
u = 0.911948 − 0.435304I
a = 1.17368 + 0.88985I
b = 1.05672 + 0.95507I
−1.50578 + 8.38772I 0
u = −0.909097 + 0.443170I
a = −1.26092 − 0.98111I
b = −1.11844 − 1.03475I
−4.3954 + 13.5491I 0
u = −0.909097 − 0.443170I
a = −1.26092 + 0.98111I
b = −1.11844 + 1.03475I
−4.3954 − 13.5491I 0
u = −0.760174 + 0.615271I
a = 1.231780 + 0.453997I
b = 1.094530 + 0.200258I
3.75962 − 3.02610I 0
u = −0.760174 − 0.615271I
a = 1.231780 − 0.453997I
b = 1.094530 − 0.200258I
3.75962 + 3.02610I 0
u = −0.478063 + 0.904527I
a = −4.15321 + 2.10750I
b = −0.292600 − 0.137465I
−1.79196 − 2.13409I 0
u = −0.478063 − 0.904527I
a = −4.15321 − 2.10750I
b = −0.292600 + 0.137465I
−1.79196 + 2.13409I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.896926 + 0.383197I
a = 1.006870 − 0.389405I
b = 0.979939 − 0.533142I
2.09309 − 6.45111I 0
u = 0.896926 − 0.383197I
a = 1.006870 + 0.389405I
b = 0.979939 + 0.533142I
2.09309 + 6.45111I 0
u = −0.926650 + 0.438417I
a = −0.991364 − 0.984139I
b = −0.902219 − 1.016180I
−6.14241 + 4.61417I 0
u = −0.926650 − 0.438417I
a = −0.991364 + 0.984139I
b = −0.902219 + 1.016180I
−6.14241 − 4.61417I 0
u = 0.317324 + 0.915221I
a = 1.52737 − 1.24577I
b = 0.705961 + 0.923416I
−3.72726 − 0.13007I 0
u = 0.317324 − 0.915221I
a = 1.52737 + 1.24577I
b = 0.705961 − 0.923416I
−3.72726 + 0.13007I 0
u = 0.497365 + 0.915932I
a = −1.138100 − 0.133344I
b = 0.123153 − 0.145374I
−2.46590 − 1.67574I 0
u = 0.497365 − 0.915932I
a = −1.138100 + 0.133344I
b = 0.123153 + 0.145374I
−2.46590 + 1.67574I 0
u = −0.887010 + 0.326181I
a = −0.805184 − 0.171185I
b = −0.854529 − 0.317621I
2.58601 + 1.27765I 0
u = −0.887010 − 0.326181I
a = −0.805184 + 0.171185I
b = −0.854529 + 0.317621I
2.58601 − 1.27765I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.108819 + 0.938452I
a = −1.254970 − 0.338159I
b = 0.39425 + 1.39638I
−4.96481 + 6.39537I 0
u = −0.108819 − 0.938452I
a = −1.254970 + 0.338159I
b = 0.39425 − 1.39638I
−4.96481 − 6.39537I 0
u = −0.174495 + 0.927558I
a = −1.38301 − 0.58605I
b = 0.00710 + 1.46473I
−5.81182 − 1.53718I 0
u = −0.174495 − 0.927558I
a = −1.38301 + 0.58605I
b = 0.00710 − 1.46473I
−5.81182 + 1.53718I 0
u = 0.361459 + 0.993292I
a = 1.61538 − 1.40671I
b = 1.62229 + 0.65511I
−5.04980 + 1.10678I 0
u = 0.361459 − 0.993292I
a = 1.61538 + 1.40671I
b = 1.62229 − 0.65511I
−5.04980 − 1.10678I 0
u = 0.498964 + 0.793602I
a = −3.60544 − 3.19666I
b = −0.142825 + 0.397651I
−3.93838 + 5.80847I 0
u = 0.498964 − 0.793602I
a = −3.60544 + 3.19666I
b = −0.142825 − 0.397651I
−3.93838 − 5.80847I 0
u = −0.346223 + 1.004940I
a = −1.73275 − 1.45246I
b = −1.76267 + 0.92830I
−8.17103 + 3.09878I 0
u = −0.346223 − 1.004940I
a = −1.73275 + 1.45246I
b = −1.76267 − 0.92830I
−8.17103 − 3.09878I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.732052 + 0.579438I
a = −1.24958 + 0.74008I
b = −1.176320 + 0.447728I
4.15857 − 1.53178I 0
u = 0.732052 − 0.579438I
a = −1.24958 − 0.74008I
b = −1.176320 − 0.447728I
4.15857 + 1.53178I 0
u = −0.511516 + 0.943991I
a = 0.29654 + 1.66321I
b = −0.232984 − 0.569254I
−1.39119 − 2.55212I 0
u = −0.511516 − 0.943991I
a = 0.29654 − 1.66321I
b = −0.232984 + 0.569254I
−1.39119 + 2.55212I 0
u = −0.586912 + 0.901135I
a = 1.138480 + 0.317483I
b = 0.310216 − 0.239989I
0.16909 − 2.33076I 0
u = −0.586912 − 0.901135I
a = 1.138480 − 0.317483I
b = 0.310216 + 0.239989I
0.16909 + 2.33076I 0
u = −0.370037 + 1.011430I
a = −1.55822 − 1.55371I
b = −1.93579 + 0.53179I
−8.34868 − 5.10443I 0
u = −0.370037 − 1.011430I
a = −1.55822 + 1.55371I
b = −1.93579 − 0.53179I
−8.34868 + 5.10443I 0
u = 0.434054 + 0.988723I
a = 0.967384 − 0.925980I
b = 1.289280 − 0.395692I
−4.48894 + 2.96975I 0
u = 0.434054 − 0.988723I
a = 0.967384 + 0.925980I
b = 1.289280 + 0.395692I
−4.48894 − 2.96975I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.446642 + 0.790384I
a = 0.77478 − 2.99291I
b = −0.049396 + 0.468882I
−1.41471 − 1.74994I 0
u = −0.446642 − 0.790384I
a = 0.77478 + 2.99291I
b = −0.049396 − 0.468882I
−1.41471 + 1.74994I 0
u = 0.552326 + 0.944839I
a = −1.63723 + 0.38867I
b = −0.044369 − 0.553290I
−2.96819 + 5.68794I 0
u = 0.552326 − 0.944839I
a = −1.63723 − 0.38867I
b = −0.044369 + 0.553290I
−2.96819 − 5.68794I 0
u = 0.117298 + 0.892732I
a = 1.150630 − 0.466992I
b = −0.244933 + 1.222510I
−2.24445 − 1.90031I 0
u = 0.117298 − 0.892732I
a = 1.150630 + 0.466992I
b = −0.244933 − 1.222510I
−2.24445 + 1.90031I 0
u = 0.524119 + 1.000970I
a = −0.939323 + 0.042790I
b = 0.207367 − 1.251020I
−2.31178 + 5.78069I 0
u = 0.524119 − 1.000970I
a = −0.939323 − 0.042790I
b = 0.207367 + 1.251020I
−2.31178 − 5.78069I 0
u = 0.693098 + 0.525034I
a = −1.05281 + 1.26958I
b = −1.16628 + 0.90453I
2.21710 − 2.81315I 0
u = 0.693098 − 0.525034I
a = −1.05281 − 1.26958I
b = −1.16628 − 0.90453I
2.21710 + 2.81315I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.470474 + 1.034840I
a = 0.286777 − 1.343870I
b = −1.42267 − 1.52005I
−7.68172 − 1.31210I 0
u = −0.470474 − 1.034840I
a = 0.286777 + 1.343870I
b = −1.42267 + 1.52005I
−7.68172 + 1.31210I 0
u = 0.484305 + 1.028530I
a = −0.507609 − 1.015820I
b = 1.06929 − 1.55739I
−4.22041 + 5.15100I 0
u = 0.484305 − 1.028530I
a = −0.507609 + 1.015820I
b = 1.06929 + 1.55739I
−4.22041 − 5.15100I 0
u = −0.698549 + 0.503595I
a = 1.11344 + 1.49995I
b = 1.26314 + 1.05111I
−0.40692 + 7.54428I 0
u = −0.698549 − 0.503595I
a = 1.11344 − 1.49995I
b = 1.26314 − 1.05111I
−0.40692 − 7.54428I 0
u = 0.956192 + 0.626051I
a = −0.757600 − 0.473210I
b = −0.616969 − 0.574460I
−3.35830 + 8.78100I 0
u = 0.956192 − 0.626051I
a = −0.757600 + 0.473210I
b = −0.616969 + 0.574460I
−3.35830 − 8.78100I 0
u = −0.487407 + 1.040000I
a = 0.74377 − 1.22375I
b = −1.11841 − 1.83821I
−7.23390 − 9.51971I 0
u = −0.487407 − 1.040000I
a = 0.74377 + 1.22375I
b = −1.11841 + 1.83821I
−7.23390 + 9.51971I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.647053 + 0.509851I
a = 0.59478 + 1.34712I
b = 0.882172 + 1.077710I
−1.71268 − 0.36144I 0
u = −0.647053 − 0.509851I
a = 0.59478 − 1.34712I
b = 0.882172 − 1.077710I
−1.71268 + 0.36144I 0
u = −0.425188 + 0.693702I
a = 0.494424 − 0.708284I
b = 0.006772 + 0.636249I
−0.57615 − 1.49617I 0
u = −0.425188 − 0.693702I
a = 0.494424 + 0.708284I
b = 0.006772 − 0.636249I
−0.57615 + 1.49617I 0
u = −0.584014 + 1.037170I
a = 1.90385 + 0.51378I
b = 1.02644 − 1.47585I
−3.25098 − 4.47688I 0
u = −0.584014 − 1.037170I
a = 1.90385 − 0.51378I
b = 1.02644 + 1.47585I
−3.25098 + 4.47688I 0
u = −0.644746 + 1.007090I
a = 1.24583 + 0.92862I
b = 1.073010 − 0.444224I
2.57596 − 2.29660I 0
u = −0.644746 − 1.007090I
a = 1.24583 − 0.92862I
b = 1.073010 + 0.444224I
2.57596 + 2.29660I 0
u = 0.625532 + 1.023680I
a = −1.50146 + 0.95552I
b = −1.22114 − 0.72276I
2.82624 + 6.71909I 0
u = 0.625532 − 1.023680I
a = −1.50146 − 0.95552I
b = −1.22114 + 0.72276I
2.82624 − 6.71909I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.599950 + 1.039800I
a = −1.88655 + 0.78262I
b = −1.28438 − 1.25332I
0.69691 + 7.81343I 0
u = 0.599950 − 1.039800I
a = −1.88655 − 0.78262I
b = −1.28438 + 1.25332I
0.69691 − 7.81343I 0
u = −0.977219 + 0.698896I
a = 0.612150 − 0.210674I
b = 0.520754 − 0.345549I
−0.16968 − 3.52871I 0
u = −0.977219 − 0.698896I
a = 0.612150 + 0.210674I
b = 0.520754 + 0.345549I
−0.16968 + 3.52871I 0
u = −0.598032 + 1.048290I
a = 2.04284 + 0.80640I
b = 1.41976 − 1.39274I
−2.00840 − 12.54820I 0
u = −0.598032 − 1.048290I
a = 2.04284 − 0.80640I
b = 1.41976 + 1.39274I
−2.00840 + 12.54820I 0
u = 1.115650 + 0.524422I
a = −0.066091 − 0.458183I
b = −0.012401 − 0.502670I
−5.14009 − 0.87754I 0
u = 1.115650 − 0.524422I
a = −0.066091 + 0.458183I
b = −0.012401 + 0.502670I
−5.14009 + 0.87754I 0
u = −0.047454 + 1.272010I
a = 0.148691 + 0.258874I
b = −0.756451 − 1.139640I
−10.6319 + 10.8392I 0
u = −0.047454 − 1.272010I
a = 0.148691 − 0.258874I
b = −0.756451 + 1.139640I
−10.6319 − 10.8392I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.052332 + 1.282040I
a = −0.139923 + 0.230211I
b = 0.656587 − 1.049020I
−7.73552 − 5.59515I 0
u = 0.052332 − 1.282040I
a = −0.139923 − 0.230211I
b = 0.656587 + 1.049020I
−7.73552 + 5.59515I 0
u = −0.035355 + 1.291080I
a = 0.091848 + 0.236684I
b = −0.466738 − 1.167490I
−12.51560 + 1.79501I 0
u = −0.035355 − 1.291080I
a = 0.091848 − 0.236684I
b = −0.466738 + 1.167490I
−12.51560 − 1.79501I 0
u = 0.599686 + 0.375773I
a = 0.249306 + 0.656236I
b = 0.733861 + 0.420756I
−0.82696 + 5.62929I 0.40223 − 5.17900I
u = 0.599686 − 0.375773I
a = 0.249306 − 0.656236I
b = 0.733861 − 0.420756I
−0.82696 − 5.62929I 0.40223 + 5.17900I
u = −0.044354 + 0.701238I
a = 0.633078 − 0.369539I
b = −0.232159 + 0.670286I
−0.74412 − 1.54864I −2.53683 + 5.51244I
u = −0.044354 − 0.701238I
a = 0.633078 + 0.369539I
b = −0.232159 − 0.670286I
−0.74412 + 1.54864I −2.53683 − 5.51244I
u = −0.656780 + 1.138640I
a = −1.82933 − 0.77459I
b = −1.21927 + 1.17702I
−6.5131 − 19.2984I 0
u = −0.656780 − 1.138640I
a = −1.82933 + 0.77459I
b = −1.21927 − 1.17702I
−6.5131 + 19.2984I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.654956 + 1.141600I
a = 1.70693 − 0.74667I
b = 1.15723 + 1.11490I
−3.6554 + 14.1350I 0
u = 0.654956 − 1.141600I
a = 1.70693 + 0.74667I
b = 1.15723 − 1.11490I
−3.6554 − 14.1350I 0
u = 0.638895 + 1.151670I
a = 1.20717 − 0.82631I
b = 1.031890 + 0.789595I
−0.21332 + 12.09040I 0
u = 0.638895 − 1.151670I
a = 1.20717 + 0.82631I
b = 1.031890 − 0.789595I
−0.21332 − 12.09040I 0
u = −0.659496 + 1.145590I
a = −1.69618 − 0.54210I
b = −1.03008 + 1.18405I
−8.30416 − 10.41650I 0
u = −0.659496 − 1.145590I
a = −1.69618 + 0.54210I
b = −1.03008 − 1.18405I
−8.30416 + 10.41650I 0
u = −0.629982 + 1.164430I
a = −0.946035 − 0.733459I
b = −0.896154 + 0.660527I
0.11150 − 6.85773I 0
u = −0.629982 − 1.164430I
a = −0.946035 + 0.733459I
b = −0.896154 − 0.660527I
0.11150 + 6.85773I 0
u = −0.600553 + 0.274322I
a = −0.302262 + 0.365432I
b = −0.669223 + 0.235528I
1.44318 − 0.98583I 4.97697 + 0.88310I
u = −0.600553 − 0.274322I
a = −0.302262 − 0.365432I
b = −0.669223 − 0.235528I
1.44318 + 0.98583I 4.97697 − 0.88310I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.421752 + 0.466224I
a = −0.344239 + 0.393869I
b = 0.374796 + 0.518074I
−1.98322 − 1.56082I −2.35466 + 0.62203I
u = 0.421752 − 0.466224I
a = −0.344239 − 0.393869I
b = 0.374796 − 0.518074I
−1.98322 + 1.56082I −2.35466 − 0.62203I
u = 0.678958 + 1.191600I
a = 0.876815 − 0.014523I
b = 0.394869 + 0.834141I
−7.52028 + 7.24517I 0
u = 0.678958 − 1.191600I
a = 0.876815 + 0.014523I
b = 0.394869 − 0.834141I
−7.52028 − 7.24517I 0
u = 0.410343 + 0.463348I
a = 0.914909 + 0.214594I
b = 0.020651 + 0.953566I
−0.88393 − 1.64826I −2.02657 + 4.96990I
u = 0.410343 − 0.463348I
a = 0.914909 − 0.214594I
b = 0.020651 − 0.953566I
−0.88393 + 1.64826I −2.02657 − 4.96990I
u = 0.11337 + 1.41365I
a = −0.0761282 + 0.0404144I
b = 0.270135 − 0.448164I
−3.83043 − 3.01633I 0
u = 0.11337 − 1.41365I
a = −0.0761282 − 0.0404144I
b = 0.270135 + 0.448164I
−3.83043 + 3.01633I 0
u = −0.65760 + 1.27563I
a = −0.387479 − 0.130922I
b = −0.336058 + 0.420274I
−2.16433 − 3.72797I 0
u = −0.65760 − 1.27563I
a = −0.387479 + 0.130922I
b = −0.336058 − 0.420274I
−2.16433 + 3.72797I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.82461 + 1.22317I
a = 0.199201 + 0.293206I
b = −0.117781 + 0.421266I
−4.89994 − 2.14806I 0
u = 0.82461 − 1.22317I
a = 0.199201 − 0.293206I
b = −0.117781 − 0.421266I
−4.89994 + 2.14806I 0
u = −0.468808 + 0.233676I
a = −2.89778 + 0.97031I
b = −0.79266 + 1.18121I
−5.21871 + 5.59244I −6.14017 − 5.18288I
u = −0.468808 − 0.233676I
a = −2.89778 − 0.97031I
b = −0.79266 − 1.18121I
−5.21871 − 5.59244I −6.14017 + 5.18288I
u = 0.410599 + 0.234094I
a = 2.83343 + 0.39108I
b = 0.672003 + 0.938472I
−2.31401 − 1.33511I −3.18069 + 1.51226I
u = 0.410599 − 0.234094I
a = 2.83343 − 0.39108I
b = 0.672003 − 0.938472I
−2.31401 + 1.33511I −3.18069 − 1.51226I
u = −0.439635 + 0.164711I
a = −3.51386 + 0.55162I
b = −1.007280 + 0.848807I
−5.59622 − 2.40500I −6.78569 + 2.74623I
u = −0.439635 − 0.164711I
a = −3.51386 − 0.55162I
b = −1.007280 − 0.848807I
−5.59622 + 2.40500I −6.78569 − 2.74623I
u = 0.293010
a = 4.46780
b = 0.701167
−2.52725 −1.08770
16
II. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
119
+ 61u
118
+ ··· − 6u
2
+ 1
c
2
, c
5
u
119
+ 3u
118
+ ··· − 2u − 1
c
3
u
119
− 47u
118
+ ··· + 58256u + 9073
c
4
, c
11
u
119
− u
118
+ ··· + 6u
3
+ 1
c
6
u
119
+ 9u
118
+ ··· − 1371018u − 230023
c
7
, c
9
u
119
− u
118
+ ··· + 12u + 1
c
8
u
119
− 5u
118
+ ··· − 12u + 1
c
10
u
119
+ 51u
118
+ ··· + 34u
2
− 1
c
12
u
119
+ 35u
118
+ ··· − 56241420u + 3394117
17
III. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
119
− 5y
118
+ ··· + 12y −1
c
2
, c
5
y
119
− 61y
118
+ ··· + 6y
2
− 1
c
3
y
119
− 397y
118
+ ··· − 3607146724y −82319329
c
4
, c
11
y
119
+ 51y
118
+ ··· + 34y
2
− 1
c
6
y
119
+ 71y
118
+ ··· + 1471310282400y −52910580529
c
7
, c
9
y
119
− 81y
118
+ ··· − 1492y −1
c
8
y
119
+ 3y
118
+ ··· + 20y −1
c
10
y
119
+ 35y
118
+ ··· + 68y −1
c
12
y
119
− 445y
118
+ ··· + 623753540590748y −11520030209689
18
