12a
0018
(K12a
0018
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 10 11 12 4 7 1 8
Solving Sequence
6,10
7 11
2,8
5 3 4 1 9 12
c
6
c
10
c
7
c
5
c
2
c
3
c
1
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.11930 × 10
181
u
84
− 3.51393 × 10
181
u
83
+ ··· + 4.67589 × 10
182
b − 7.31431 × 10
181
,
− 1.07455 × 10
183
u
84
− 2.39844 × 10
183
u
83
+ ··· + 6.82681 × 10
183
a + 9.14213 × 10
183
,
u
85
+ 3u
84
+ ··· − 68u + 73i
I
u
2
= hb − a − 1, a
2
+ a + 1, u
5
+ u
4
− 2u
3
− u
2
+ u − 1i
* 2 irreducible components of dim
C
= 0, with total 95 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
= h−2.12 × 10
181
u
84
− 3.51 × 10
181
u
83
+ · · · + 4.68 × 10
182
b − 7.31 ×
10
181
, −1.07 × 10
183
u
84
− 2.40 × 10
183
u
83
+ · · · + 6.83 × 10
183
a + 9.14 ×
10
183
, u
85
+ 3u
84
+ · · · − 68u + 73i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
u
2
a
11
=
−u
−u
3
+ u
a
2
=
0.157402u
84
+ 0.351327u
83
+ ··· − 11.2870u − 1.33915
0.0453239u
84
+ 0.0751498u
83
+ ··· − 5.90882u + 0.156426
a
8
=
−u
2
+ 1
−u
4
+ 2u
2
a
5
=
−0.0973095u
84
− 0.243071u
83
+ ··· + 12.7128u + 2.17784
−0.0386728u
84
− 0.0840276u
83
+ ··· + 7.17860u + 1.28714
a
3
=
0.108861u
84
+ 0.277515u
83
+ ··· + 0.921763u − 2.89582
0.0594798u
84
+ 0.134387u
83
+ ··· − 4.79958u − 2.53940
a
4
=
0.0493808u
84
+ 0.143127u
83
+ ··· + 5.72134u − 0.356420
0.0594798u
84
+ 0.134387u
83
+ ··· − 4.79958u − 2.53940
a
1
=
0.0447060u
84
+ 0.145350u
83
+ ··· − 11.0547u − 5.38827
−0.0550150u
84
− 0.0997524u
83
+ ··· + 2.36727u − 0.651555
a
9
=
−0.00892540u
84
+ 0.0282388u
83
+ ··· + 11.2989u − 1.76034
−0.0540602u
84
− 0.0446167u
83
+ ··· + 2.04432u − 7.27963
a
12
=
0.116080u
84
+ 0.273107u
83
+ ··· − 17.9315u − 4.58050
−0.0000810727u
84
− 0.00974982u
83
+ ··· − 2.36092u + 0.624367
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0954738u
84
− 0.244184u
83
+ ··· − 10.0507u − 7.23539
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
85
+ 44u
84
+ ··· − 7u − 1
c
2
, c
5
u
85
+ 6u
84
+ ··· − 7u − 1
c
3
u
85
− 6u
84
+ ··· + 20709u − 4073
c
4
, c
9
u
85
+ u
84
+ ··· + 2048u + 1024
c
6
, c
7
, c
10
u
85
+ 3u
84
+ ··· − 68u + 73
c
8
, c
12
u
85
− 3u
84
+ ··· − 2u + 1
c
11
u
85
+ 49u
84
+ ··· − 8u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
85
+ 88y
83
+ ··· − 31y −1
c
2
, c
5
y
85
+ 44y
84
+ ··· − 7y −1
c
3
y
85
− 44y
84
+ ··· − 163840279y −16589329
c
4
, c
9
y
85
+ 55y
84
+ ··· − 20971520y −1048576
c
6
, c
7
, c
10
y
85
− 95y
84
+ ··· + 44336y −5329
c
8
, c
12
y
85
+ 49y
84
+ ··· − 8y −1
c
11
y
85
− 23y
84
+ ··· − 36y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.073727 + 0.986667I
a = 0.936097 − 0.544165I
b = −0.476518 − 1.115450I
−2.14101 + 5.91470I 0
u = −0.073727 − 0.986667I
a = 0.936097 + 0.544165I
b = −0.476518 + 1.115450I
−2.14101 − 5.91470I 0
u = −0.664796 + 0.770883I
a = 1.38906 − 1.12816I
b = −0.517064 − 1.146120I
−3.42165 + 7.23133I 0
u = −0.664796 − 0.770883I
a = 1.38906 + 1.12816I
b = −0.517064 + 1.146120I
−3.42165 − 7.23133I 0
u = −0.319887 + 0.971190I
a = 0.524620 + 0.488014I
b = −0.441470 + 1.103310I
−2.42258 − 1.55579I 0
u = −0.319887 − 0.971190I
a = 0.524620 − 0.488014I
b = −0.441470 − 1.103310I
−2.42258 + 1.55579I 0
u = −0.849401 + 0.579207I
a = −0.146968 + 0.900614I
b = −0.360653 + 1.131480I
−4.52915 − 0.73034I 0
u = −0.849401 − 0.579207I
a = −0.146968 − 0.900614I
b = −0.360653 − 1.131480I
−4.52915 + 0.73034I 0
u = −0.810927 + 0.493483I
a = −0.86574 + 2.36356I
b = 0.493182 + 1.063790I
−2.34026 + 6.33705I 0
u = −0.810927 − 0.493483I
a = −0.86574 − 2.36356I
b = 0.493182 − 1.063790I
−2.34026 − 6.33705I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.607526 + 0.641631I
a = 0.329627 − 0.477034I
b = −0.707421 + 0.221133I
−0.75202 + 2.57285I 0
u = −0.607526 − 0.641631I
a = 0.329627 + 0.477034I
b = −0.707421 − 0.221133I
−0.75202 − 2.57285I 0
u = 0.680815 + 0.531192I
a = −0.475784 − 0.021071I
b = 0.656015 − 0.711309I
−0.52068 − 4.98776I 0. + 10.01892I
u = 0.680815 − 0.531192I
a = −0.475784 + 0.021071I
b = 0.656015 + 0.711309I
−0.52068 + 4.98776I 0. − 10.01892I
u = 0.947774 + 0.683916I
a = 0.056456 + 0.361169I
b = −0.766931 − 0.259594I
−2.68653 − 6.83343I 0
u = 0.947774 − 0.683916I
a = 0.056456 − 0.361169I
b = −0.766931 + 0.259594I
−2.68653 + 6.83343I 0
u = −0.612245 + 0.547885I
a = 0.732372 + 0.265000I
b = 0.473509 − 0.307517I
−0.28355 + 2.24163I 0. − 4.15869I
u = −0.612245 − 0.547885I
a = 0.732372 − 0.265000I
b = 0.473509 + 0.307517I
−0.28355 − 2.24163I 0. + 4.15869I
u = −0.426296 + 0.697949I
a = 0.918803 − 0.215162I
b = −0.272552 − 0.382600I
−0.09111 + 1.93411I 0. − 2.82382I
u = −0.426296 − 0.697949I
a = 0.918803 + 0.215162I
b = −0.272552 + 0.382600I
−0.09111 − 1.93411I 0. + 2.82382I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.081024 + 0.790295I
a = 0.754750 − 0.090029I
b = −0.514454 + 0.225014I
0.35550 + 1.80819I 1.92357 − 4.64833I
u = −0.081024 − 0.790295I
a = 0.754750 + 0.090029I
b = −0.514454 − 0.225014I
0.35550 − 1.80819I 1.92357 + 4.64833I
u = −1.212560 + 0.159917I
a = 0.983042 − 0.860730I
b = −0.215414 − 0.748399I
−2.86425 + 1.08010I 0
u = −1.212560 − 0.159917I
a = 0.983042 + 0.860730I
b = −0.215414 + 0.748399I
−2.86425 − 1.08010I 0
u = 1.114220 + 0.566791I
a = −0.040385 − 1.282380I
b = −0.304170 − 1.134360I
−6.91731 − 3.67064I 0
u = 1.114220 − 0.566791I
a = −0.040385 + 1.282380I
b = −0.304170 + 1.134360I
−6.91731 + 3.67064I 0
u = 1.000140 + 0.768979I
a = 1.20857 + 1.42294I
b = −0.540479 + 1.152630I
−5.31540 − 11.73820I 0
u = 1.000140 − 0.768979I
a = 1.20857 − 1.42294I
b = −0.540479 − 1.152630I
−5.31540 + 11.73820I 0
u = 0.701004 + 0.167089I
a = −1.04043 − 0.96974I
b = −0.384455 − 1.189130I
−8.68594 + 3.54169I −10.91031 − 3.61355I
u = 0.701004 − 0.167089I
a = −1.04043 + 0.96974I
b = −0.384455 + 1.189130I
−8.68594 − 3.54169I −10.91031 + 3.61355I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.566939 + 0.421860I
a = −1.063890 + 0.895906I
b = 0.625120 + 0.883968I
−1.019110 − 0.019860I −7.10656 + 3.63163I
u = 0.566939 − 0.421860I
a = −1.063890 − 0.895906I
b = 0.625120 − 0.883968I
−1.019110 + 0.019860I −7.10656 − 3.63163I
u = 1.324570 + 0.153827I
a = 0.888954 − 1.043400I
b = −0.219128 − 0.834236I
−6.48791 − 3.11039I 0
u = 1.324570 − 0.153827I
a = 0.888954 + 1.043400I
b = −0.219128 + 0.834236I
−6.48791 + 3.11039I 0
u = −0.629066 + 0.209720I
a = −0.61598 − 3.22202I
b = 0.372593 − 1.046640I
−3.20124 − 0.40319I −7.42049 + 0.02513I
u = −0.629066 − 0.209720I
a = −0.61598 + 3.22202I
b = 0.372593 + 1.046640I
−3.20124 + 0.40319I −7.42049 − 0.02513I
u = 0.162545 + 0.544040I
a = 0.451845 − 0.799524I
b = 0.472309 + 0.536803I
0.99323 + 1.21291I 4.59661 − 3.40071I
u = 0.162545 − 0.544040I
a = 0.451845 + 0.799524I
b = 0.472309 − 0.536803I
0.99323 − 1.21291I 4.59661 + 3.40071I
u = −1.45267
a = 0.691122
b = 0.654332
−3.81338 0
u = −0.191578 + 0.506538I
a = −0.351792 − 0.699095I
b = 0.549301 + 0.652031I
0.95141 + 1.54224I 3.64572 − 4.77993I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.191578 − 0.506538I
a = −0.351792 + 0.699095I
b = 0.549301 − 0.652031I
0.95141 − 1.54224I 3.64572 + 4.77993I
u = 0.524049 + 0.111794I
a = −0.076692 + 1.324640I
b = −0.776293 − 0.119585I
−4.80858 − 0.38289I −6.98989 − 0.09954I
u = 0.524049 − 0.111794I
a = −0.076692 − 1.324640I
b = −0.776293 + 0.119585I
−4.80858 + 0.38289I −6.98989 + 0.09954I
u = 0.475918 + 0.244964I
a = 2.65951 + 1.54249I
b = −0.495221 + 1.182570I
−7.91886 − 5.05331I −9.98522 + 3.52204I
u = 0.475918 − 0.244964I
a = 2.65951 − 1.54249I
b = −0.495221 − 1.182570I
−7.91886 + 5.05331I −9.98522 − 3.52204I
u = 1.47833 + 0.03589I
a = −0.405383 − 0.632644I
b = 0.744958 − 0.816857I
−4.46882 − 2.78743I 0
u = 1.47833 − 0.03589I
a = −0.405383 + 0.632644I
b = 0.744958 + 0.816857I
−4.46882 + 2.78743I 0
u = 0.408053 + 0.323773I
a = −1.44582 − 2.40333I
b = 0.478977 − 0.992998I
−0.32720 − 2.78409I 1.83631 + 3.63493I
u = 0.408053 − 0.323773I
a = −1.44582 + 2.40333I
b = 0.478977 + 0.992998I
−0.32720 + 2.78409I 1.83631 − 3.63493I
u = 1.45414 + 0.29131I
a = 0.852958 + 0.820806I
b = −0.278597 + 0.750241I
−6.17711 − 5.61767I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.45414 − 0.29131I
a = 0.852958 − 0.820806I
b = −0.278597 − 0.750241I
−6.17711 + 5.61767I 0
u = 0.022495 + 0.486505I
a = −1.48819 − 1.58315I
b = 0.545824 − 0.945362I
0.07724 − 2.86484I 1.199969 − 0.242830I
u = 0.022495 − 0.486505I
a = −1.48819 + 1.58315I
b = 0.545824 + 0.945362I
0.07724 + 2.86484I 1.199969 + 0.242830I
u = −1.53385 + 0.07020I
a = −0.40293 + 2.49379I
b = 0.449202 + 1.155340I
−6.96879 + 4.07852I 0
u = −1.53385 − 0.07020I
a = −0.40293 − 2.49379I
b = 0.449202 − 1.155340I
−6.96879 − 4.07852I 0
u = −1.55923 + 0.08103I
a = 0.92915 − 2.02619I
b = −0.566136 − 1.204640I
−14.9606 + 6.2710I 0
u = −1.55923 − 0.08103I
a = 0.92915 + 2.02619I
b = −0.566136 + 1.204640I
−14.9606 − 6.2710I 0
u = −1.56350 + 0.03748I
a = −0.427946 − 0.305316I
b = −0.892662 + 0.229621I
−12.01330 + 0.94589I 0
u = −1.56350 − 0.03748I
a = −0.427946 + 0.305316I
b = −0.892662 − 0.229621I
−12.01330 − 0.94589I 0
u = −1.56534 + 0.10799I
a = −0.397551 − 0.704235I
b = 0.751803 − 0.834148I
−8.23473 + 1.87606I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56534 − 0.10799I
a = −0.397551 + 0.704235I
b = 0.751803 + 0.834148I
−8.23473 − 1.87606I 0
u = 1.56363 + 0.14005I
a = 0.681046 − 0.008951I
b = 0.682539 + 0.031873I
−7.51475 − 4.66932I 0
u = 1.56363 − 0.14005I
a = 0.681046 + 0.008951I
b = 0.682539 − 0.031873I
−7.51475 + 4.66932I 0
u = 1.56682 + 0.18662I
a = −0.369496 + 0.287964I
b = −0.882048 − 0.243919I
−7.97573 − 5.57692I 0
u = 1.56682 − 0.18662I
a = −0.369496 − 0.287964I
b = −0.882048 + 0.243919I
−7.97573 + 5.57692I 0
u = 1.58824 + 0.06264I
a = −0.35566 + 2.51657I
b = 0.437537 + 1.164820I
−10.82760 − 0.61758I 0
u = 1.58824 − 0.06264I
a = −0.35566 − 2.51657I
b = 0.437537 − 1.164820I
−10.82760 + 0.61758I 0
u = −1.59039 + 0.15326I
a = −0.339018 + 0.614653I
b = 0.760081 + 0.806878I
−8.15394 + 7.51658I 0
u = −1.59039 − 0.15326I
a = −0.339018 − 0.614653I
b = 0.760081 − 0.806878I
−8.15394 − 7.51658I 0
u = 1.58729 + 0.23058I
a = 0.93005 + 1.93227I
b = −0.569612 + 1.196030I
−10.8454 − 10.8895I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58729 − 0.23058I
a = 0.93005 − 1.93227I
b = −0.569612 − 1.196030I
−10.8454 + 10.8895I 0
u = −1.62598 + 0.02161I
a = −0.32812 + 1.91798I
b = −0.293102 + 1.265500I
−16.8709 − 2.9460I 0
u = −1.62598 − 0.02161I
a = −0.32812 − 1.91798I
b = −0.293102 − 1.265500I
−16.8709 + 2.9460I 0
u = 1.62231 + 0.13541I
a = −0.28106 − 1.88018I
b = −0.281969 − 1.256690I
−12.85110 − 1.80108I 0
u = 1.62231 − 0.13541I
a = −0.28106 + 1.88018I
b = −0.281969 + 1.256690I
−12.85110 + 1.80108I 0
u = 1.63560 + 0.15859I
a = −0.39129 − 2.44697I
b = 0.460557 − 1.163250I
−10.66370 − 8.89844I 0
u = 1.63560 − 0.15859I
a = −0.39129 + 2.44697I
b = 0.460557 + 1.163250I
−10.66370 + 8.89844I 0
u = −1.68732 + 0.22905I
a = −0.370876 − 0.238606I
b = −0.890810 + 0.256215I
−11.5683 + 10.5297I 0
u = −1.68732 − 0.22905I
a = −0.370876 + 0.238606I
b = −0.890810 − 0.256215I
−11.5683 − 10.5297I 0
u = −1.71267 + 0.17894I
a = −0.23914 + 1.90958I
b = −0.270919 + 1.263420I
−16.5460 + 6.7728I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.71267 − 0.17894I
a = −0.23914 − 1.90958I
b = −0.270919 − 1.263420I
−16.5460 − 6.7728I 0
u = −1.71107 + 0.25442I
a = 0.86199 − 1.91094I
b = −0.577264 − 1.196240I
−14.4069 + 15.9000I 0
u = −1.71107 − 0.25442I
a = 0.86199 + 1.91094I
b = −0.577264 + 1.196240I
−14.4069 − 15.9000I 0
u = −0.170164 + 0.203673I
a = 3.62951 + 3.25134I
b = 0.214671 + 0.856960I
−1.89638 + 1.79583I −7.96923 − 3.85699I
u = −0.170164 − 0.203673I
a = 3.62951 − 3.25134I
b = 0.214671 − 0.856960I
−1.89638 − 1.79583I −7.96923 + 3.85699I
13
II. I
u
2
= hb − a − 1, a
2
+ a + 1, u
5
+ u
4
− 2u
3
− u
2
+ u − 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
u
2
a
11
=
−u
−u
3
+ u
a
2
=
a
a + 1
a
8
=
−u
2
+ 1
−u
4
+ 2u
2
a
5
=
0
a
a
3
=
a
a
a
4
=
0
a
a
1
=
−1
0
a
9
=
0
u
a
12
=
u
3
− 2u
−u
3
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = u
4
a + 2u
3
a + u
4
− 2u
2
a − 2u
3
− 3au − u
2
− 4a + 5u − 6
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
(u
2
− u + 1)
5
c
2
(u
2
+ u + 1)
5
c
4
, c
9
u
10
c
6
, c
7
(u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
c
8
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
c
10
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
c
11
(u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)
2
c
12
(u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
2
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
(y
2
+ y + 1)
5
c
4
, c
9
y
10
c
6
, c
7
, c
10
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)
2
c
8
, c
12
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
2
c
11
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)
2
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.21774
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−2.40108 + 2.02988I −0.40252 − 4.16430I
u = 1.21774
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−2.40108 − 2.02988I −0.40252 + 4.16430I
u = 0.309916 + 0.549911I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−0.329100 + 0.499304I 0.886311 − 0.883423I
u = 0.309916 + 0.549911I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−0.32910 − 3.56046I −3.42267 + 7.93863I
u = 0.309916 − 0.549911I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−0.32910 + 3.56046I −3.42267 − 7.93863I
u = 0.309916 − 0.549911I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−0.329100 − 0.499304I 0.886311 + 0.883423I
u = −1.41878 + 0.21917I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−5.87256 + 6.43072I −4.19593 − 8.50148I
u = −1.41878 + 0.21917I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−5.87256 + 2.37095I −2.86519 + 1.02882I
u = −1.41878 − 0.21917I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−5.87256 − 2.37095I −2.86519 − 1.02882I
u = −1.41878 − 0.21917I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−5.87256 − 6.43072I −4.19593 + 8.50148I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
5
)(u
85
+ 44u
84
+ ··· − 7u − 1)
c
2
((u
2
+ u + 1)
5
)(u
85
+ 6u
84
+ ··· − 7u − 1)
c
3
((u
2
− u + 1)
5
)(u
85
− 6u
84
+ ··· + 20709u − 4073)
c
4
, c
9
u
10
(u
85
+ u
84
+ ··· + 2048u + 1024)
c
5
((u
2
− u + 1)
5
)(u
85
+ 6u
84
+ ··· − 7u − 1)
c
6
, c
7
((u
5
+ u
4
− 2u
3
− u
2
+ u − 1)
2
)(u
85
+ 3u
84
+ ··· − 68u + 73)
c
8
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
2
)(u
85
− 3u
84
+ ··· − 2u + 1)
c
10
((u
5
− u
4
− 2u
3
+ u
2
+ u + 1)
2
)(u
85
+ 3u
84
+ ··· − 68u + 73)
c
11
((u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)
2
)(u
85
+ 49u
84
+ ··· − 8u − 1)
c
12
((u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
2
)(u
85
− 3u
84
+ ··· − 2u + 1)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
5
)(y
85
+ 88y
83
+ ··· − 31y −1)
c
2
, c
5
((y
2
+ y + 1)
5
)(y
85
+ 44y
84
+ ··· − 7y −1)
c
3
((y
2
+ y + 1)
5
)(y
85
− 44y
84
+ ··· − 1.63840 × 10
8
y −1.65893 × 10
7
)
c
4
, c
9
y
10
(y
85
+ 55y
84
+ ··· − 2.09715 × 10
7
y −1048576)
c
6
, c
7
, c
10
((y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)
2
)(y
85
− 95y
84
+ ··· + 44336y −5329)
c
8
, c
12
((y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
2
)(y
85
+ 49y
84
+ ··· − 8y −1)
c
11
((y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)
2
)(y
85
− 23y
84
+ ··· − 36y −1)
19
