12a
0219
(K12a
0219
)
A knot diagram
1
Linearized knot diagam
3 6 7 9 10 2 12 11 5 4 1 8
Solving Sequence
1,8
12
4,7
3 2 6 11 9 5 10
c
12
c
7
c
3
c
1
c
6
c
11
c
8
c
4
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.29644 × 10
65
u
95
+ 8.39309 × 10
65
u
94
+ ··· + 6.47380 × 10
64
b − 3.00158 × 10
66
,
− 3.21501 × 10
65
u
95
+ 4.26233 × 10
65
u
94
+ ··· + 2.26583 × 10
65
a + 6.65379 × 10
65
,
u
96
− 3u
95
+ ··· + 33u − 7i
I
u
2
= hb
2
− b + 1, a
2
− 2, u + 1i
I
u
3
= hb
2
− b + 1, a, u − 1i
* 3 irreducible components of dim
C
= 0, with total 102 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−3.30 × 10
65
u
95
+ 8.39 × 10
65
u
94
+ · · · + 6.47 × 10
64
b − 3.00 ×
10
66
, −3.22 × 10
65
u
95
+ 4.26 × 10
65
u
94
+ · · · + 2.27 × 10
65
a + 6.65 ×
10
65
, u
96
− 3u
95
+ · · · + 33u − 7i
(i) Arc colorings
a
1
=
1
0
a
8
=
0
u
a
12
=
1
u
2
a
4
=
1.41891u
95
− 1.88113u
94
+ ··· − 1.85504u − 2.93658
5.09198u
95
− 12.9647u
94
+ ··· − 163.121u + 46.3650
a
7
=
−u
−u
3
+ u
a
3
=
2.25748u
95
− 5.20460u
94
+ ··· − 43.2293u + 11.0345
2.44396u
95
− 6.50914u
94
+ ··· − 89.2208u + 26.7397
a
2
=
−1.17179u
95
+ 3.07653u
94
+ ··· + 25.4465u − 7.56802
−0.189323u
95
+ 1.36509u
94
+ ··· + 27.8824u − 10.2921
a
6
=
−2.25210u
95
+ 5.51531u
94
+ ··· + 73.2516u − 21.0352
−1.99587u
95
+ 5.14903u
94
+ ··· + 88.6507u − 24.4894
a
11
=
−u
2
+ 1
u
2
a
9
=
−u
5
+ 2u
3
− u
u
5
− u
3
+ u
a
5
=
1.21133u
95
− 0.874118u
94
+ ··· + 25.5221u − 12.9364
3.51190u
95
− 9.39402u
94
+ ··· − 126.246u + 37.7277
a
10
=
−0.362137u
95
+ 0.883926u
94
+ ··· − 4.63087u + 1.81548
−1.74806u
95
+ 3.53499u
94
+ ··· + 51.1345u − 14.0192
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.60410u
95
+ 10.8203u
94
+ ··· + 117.107u − 19.1541
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
+ 44u
95
+ ··· − 24u + 1
c
2
, c
6
u
96
− 2u
95
+ ··· − 10u + 1
c
3
u
96
+ 2u
95
+ ··· + 170u + 29
c
4
, c
5
, c
9
u
96
+ u
95
+ ··· + 12u − 4
c
7
, c
12
u
96
− 3u
95
+ ··· + 33u − 7
c
8
u
96
− 15u
95
+ ··· − 17408u + 1792
c
10
u
96
− 3u
95
+ ··· + 4692u + 9292
c
11
u
96
− 53u
95
+ ··· − 417u + 49
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
+ 20y
95
+ ··· − 640y + 1
c
2
, c
6
y
96
+ 44y
95
+ ··· − 24y + 1
c
3
y
96
− 4y
95
+ ··· − 69036y + 841
c
4
, c
5
, c
9
y
96
− 91y
95
+ ··· + 240y + 16
c
7
, c
12
y
96
− 53y
95
+ ··· − 417y + 49
c
8
y
96
+ 61y
95
+ ··· − 128483328y + 3211264
c
10
y
96
− 31y
95
+ ··· − 573141968y + 86341264
c
11
y
96
− 13y
95
+ ··· − 80985y + 2401
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.833148 + 0.623345I
a = −0.031613 + 0.759344I
b = −0.078546 − 0.988047I
−1.40395 + 2.16811I 0
u = 0.833148 − 0.623345I
a = −0.031613 − 0.759344I
b = −0.078546 + 0.988047I
−1.40395 − 2.16811I 0
u = −1.013030 + 0.253365I
a = −1.17454 − 1.24265I
b = −0.353670 + 0.324350I
6.33381 + 0.37203I 0
u = −1.013030 − 0.253365I
a = −1.17454 + 1.24265I
b = −0.353670 − 0.324350I
6.33381 − 0.37203I 0
u = −0.847878 + 0.624079I
a = 0.820203 + 0.073555I
b = 0.173341 + 0.046759I
−4.59002 − 6.24024I 0
u = −0.847878 − 0.624079I
a = 0.820203 − 0.073555I
b = 0.173341 − 0.046759I
−4.59002 + 6.24024I 0
u = −0.689352 + 0.647691I
a = 0.429393 − 0.447615I
b = 0.126999 + 0.557750I
−5.04287 + 1.33222I 0
u = −0.689352 − 0.647691I
a = 0.429393 + 0.447615I
b = 0.126999 − 0.557750I
−5.04287 − 1.33222I 0
u = −0.778350 + 0.535879I
a = −0.416102 − 0.047250I
b = −0.407471 − 0.336585I
−1.74499 − 2.16540I 0
u = −0.778350 − 0.535879I
a = −0.416102 + 0.047250I
b = −0.407471 + 0.336585I
−1.74499 + 2.16540I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.916273 + 0.567375I
a = −0.091728 − 0.259844I
b = −0.228304 + 0.883380I
2.43863 + 5.37302I 0
u = 0.916273 − 0.567375I
a = −0.091728 + 0.259844I
b = −0.228304 − 0.883380I
2.43863 − 5.37302I 0
u = 0.677177 + 0.623662I
a = 1.081130 − 0.584442I
b = 0.047616 + 0.542990I
−1.82843 + 2.68030I 0
u = 0.677177 − 0.623662I
a = 1.081130 + 0.584442I
b = 0.047616 − 0.542990I
−1.82843 − 2.68030I 0
u = 0.829088 + 0.385457I
a = 0.683999 − 0.152464I
b = 0.17609 + 1.90497I
5.09287 + 4.15151I 10.22388 − 7.48444I
u = 0.829088 − 0.385457I
a = 0.683999 + 0.152464I
b = 0.17609 − 1.90497I
5.09287 − 4.15151I 10.22388 + 7.48444I
u = 0.169868 + 0.894100I
a = 1.78018 − 1.18389I
b = −1.50343 + 1.33301I
4.56609 − 11.26670I 6.00000 + 7.26947I
u = 0.169868 − 0.894100I
a = 1.78018 + 1.18389I
b = −1.50343 − 1.33301I
4.56609 + 11.26670I 6.00000 − 7.26947I
u = −1.09363
a = −1.01722
b = −0.00371003
6.50487 0
u = 0.544581 + 0.708967I
a = 0.845405 − 0.041621I
b = 0.142315 − 0.016053I
−1.40901 − 4.80978I 3.29593 + 4.34029I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.544581 − 0.708967I
a = 0.845405 + 0.041621I
b = 0.142315 + 0.016053I
−1.40901 + 4.80978I 3.29593 − 4.34029I
u = 1.025840 + 0.457928I
a = −0.401083 + 1.281920I
b = −0.818475 − 0.717111I
−0.179654 + 1.344070I 0
u = 1.025840 − 0.457928I
a = −0.401083 − 1.281920I
b = −0.818475 + 0.717111I
−0.179654 − 1.344070I 0
u = 0.151562 + 0.857368I
a = −1.84928 + 0.82401I
b = 1.56139 − 1.12610I
6.64562 − 6.08638I 10.39988 + 3.13837I
u = 0.151562 − 0.857368I
a = −1.84928 − 0.82401I
b = 1.56139 + 1.12610I
6.64562 + 6.08638I 10.39988 − 3.13837I
u = 0.952434 + 0.625237I
a = 0.483461 + 0.314958I
b = 0.068470 − 0.575431I
−0.24974 + 9.86654I 0
u = 0.952434 − 0.625237I
a = 0.483461 − 0.314958I
b = 0.068470 + 0.575431I
−0.24974 − 9.86654I 0
u = −0.208680 + 0.830969I
a = 1.72886 + 0.97902I
b = −1.16298 − 0.97853I
−1.15634 + 7.77416I 3.13699 − 7.30330I
u = −0.208680 − 0.830969I
a = 1.72886 − 0.97902I
b = −1.16298 + 0.97853I
−1.15634 − 7.77416I 3.13699 + 7.30330I
u = 1.141790 + 0.090770I
a = 0.066259 + 0.276876I
b = −0.385873 + 0.580683I
1.11225 + 1.53245I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.141790 − 0.090770I
a = 0.066259 − 0.276876I
b = −0.385873 − 0.580683I
1.11225 − 1.53245I 0
u = 0.235538 + 0.804768I
a = 1.066780 − 0.567870I
b = −1.14823 + 0.91773I
1.68291 − 3.82528I 4.02618 + 2.15723I
u = 0.235538 − 0.804768I
a = 1.066780 + 0.567870I
b = −1.14823 − 0.91773I
1.68291 + 3.82528I 4.02618 − 2.15723I
u = 0.743530 + 0.335556I
a = −0.888754 + 0.289225I
b = −0.90209 − 1.75209I
4.78693 − 0.88146I 8.78250 − 0.86023I
u = 0.743530 − 0.335556I
a = −0.888754 − 0.289225I
b = −0.90209 + 1.75209I
4.78693 + 0.88146I 8.78250 + 0.86023I
u = 0.553648 + 0.598382I
a = −0.746834 + 0.434809I
b = −0.417163 − 0.310845I
1.43855 − 0.78309I 7.25184 + 0.14491I
u = 0.553648 − 0.598382I
a = −0.746834 − 0.434809I
b = −0.417163 + 0.310845I
1.43855 + 0.78309I 7.25184 − 0.14491I
u = −1.136260 + 0.381382I
a = 0.142180 − 1.031870I
b = −2.00804 + 0.36080I
3.39912 + 0.40632I 0
u = −1.136260 − 0.381382I
a = 0.142180 + 1.031870I
b = −2.00804 − 0.36080I
3.39912 − 0.40632I 0
u = −0.169433 + 0.771054I
a = −1.68605 − 0.64191I
b = 1.102480 + 0.759939I
0.90397 + 2.82486I 6.31873 − 3.40690I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.169433 − 0.771054I
a = −1.68605 + 0.64191I
b = 1.102480 − 0.759939I
0.90397 − 2.82486I 6.31873 + 3.40690I
u = −1.183880 + 0.262794I
a = −0.211510 − 0.942755I
b = −0.773464 − 0.301090I
6.17767 + 0.42669I 0
u = −1.183880 − 0.262794I
a = −0.211510 + 0.942755I
b = −0.773464 + 0.301090I
6.17767 − 0.42669I 0
u = −0.332091 + 0.705976I
a = 0.954112 + 0.762646I
b = −0.681852 − 0.899696I
−3.49407 + 0.59180I −1.16788 − 1.13897I
u = −0.332091 − 0.705976I
a = 0.954112 − 0.762646I
b = −0.681852 + 0.899696I
−3.49407 − 0.59180I −1.16788 + 1.13897I
u = −1.107690 + 0.529396I
a = −0.498342 − 1.265020I
b = −1.25300 + 0.94720I
−1.22305 − 5.30620I 0
u = −1.107690 − 0.529396I
a = −0.498342 + 1.265020I
b = −1.25300 − 0.94720I
−1.22305 + 5.30620I 0
u = −1.152600 + 0.431449I
a = −0.027714 + 1.227330I
b = 1.91070 − 0.67274I
4.71563 − 4.76508I 0
u = −1.152600 − 0.431449I
a = −0.027714 − 1.227330I
b = 1.91070 + 0.67274I
4.71563 + 4.76508I 0
u = −0.758438 + 0.093448I
a = 0.022205 − 0.320943I
b = −0.39857 − 1.36361I
1.01410 − 2.32335I 0.25395 + 5.97647I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.758438 − 0.093448I
a = 0.022205 + 0.320943I
b = −0.39857 + 1.36361I
1.01410 + 2.32335I 0.25395 − 5.97647I
u = 0.532506 + 0.546720I
a = 1.18685 − 0.89970I
b = −0.268310 + 0.658554I
−1.65174 + 2.71583I 3.09718 − 5.37796I
u = 0.532506 − 0.546720I
a = 1.18685 + 0.89970I
b = −0.268310 − 0.658554I
−1.65174 − 2.71583I 3.09718 + 5.37796I
u = 1.149740 + 0.466998I
a = −0.08653 − 1.56454I
b = 1.41799 + 0.75095I
4.46471 + 3.33536I 0
u = 1.149740 − 0.466998I
a = −0.08653 + 1.56454I
b = 1.41799 − 0.75095I
4.46471 − 3.33536I 0
u = −1.160400 + 0.445571I
a = 0.19152 − 2.26758I
b = −1.68333 + 0.56518I
9.35943 − 5.74731I 0
u = −1.160400 − 0.445571I
a = 0.19152 + 2.26758I
b = −1.68333 − 0.56518I
9.35943 + 5.74731I 0
u = 1.189600 + 0.361483I
a = −0.379797 − 1.089120I
b = 1.48015 + 0.10596I
4.92234 + 0.91841I 0
u = 1.189600 − 0.361483I
a = −0.379797 + 1.089120I
b = 1.48015 − 0.10596I
4.92234 − 0.91841I 0
u = 1.162430 + 0.455623I
a = 0.141375 + 1.343700I
b = −2.62084 − 0.26113I
9.28641 + 2.49542I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.162430 − 0.455623I
a = 0.141375 − 1.343700I
b = −2.62084 + 0.26113I
9.28641 − 2.49542I 0
u = −1.248650 + 0.054886I
a = 0.566268 + 0.055471I
b = −0.378813 + 0.353408I
4.46285 + 3.16912I 0
u = −1.248650 − 0.054886I
a = 0.566268 − 0.055471I
b = −0.378813 − 0.353408I
4.46285 − 3.16912I 0
u = 0.076061 + 0.746002I
a = −2.12820 − 0.24592I
b = 1.72448 − 0.58053I
7.47114 − 3.38666I 11.17915 + 3.06622I
u = 0.076061 − 0.746002I
a = −2.12820 + 0.24592I
b = 1.72448 + 0.58053I
7.47114 + 3.38666I 11.17915 − 3.06622I
u = −0.710618 + 0.222937I
a = 2.84990 + 1.22868I
b = −0.486988 − 0.496637I
5.29177 − 2.78792I 5.68134 + 6.43519I
u = −0.710618 − 0.222937I
a = 2.84990 − 1.22868I
b = −0.486988 + 0.496637I
5.29177 + 2.78792I 5.68134 − 6.43519I
u = 1.147800 + 0.509147I
a = −0.01264 + 1.77308I
b = −1.41262 − 1.00296I
2.47708 + 8.39381I 0
u = 1.147800 − 0.509147I
a = −0.01264 − 1.77308I
b = −1.41262 + 1.00296I
2.47708 − 8.39381I 0
u = −1.186860 + 0.415943I
a = −0.31953 + 1.94554I
b = 1.67441 − 0.24564I
11.10360 − 0.67190I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.186860 − 0.415943I
a = −0.31953 − 1.94554I
b = 1.67441 + 0.24564I
11.10360 + 0.67190I 0
u = 1.224250 + 0.315936I
a = 0.527394 + 0.867241I
b = −1.52114 + 0.23127I
3.32134 − 4.02982I 0
u = 1.224250 − 0.315936I
a = 0.527394 − 0.867241I
b = −1.52114 − 0.23127I
3.32134 + 4.02982I 0
u = 1.181230 + 0.479601I
a = 0.03534 − 1.49444I
b = 2.48059 + 0.68389I
10.65330 + 7.89324I 0
u = 1.181230 − 0.479601I
a = 0.03534 + 1.49444I
b = 2.48059 − 0.68389I
10.65330 − 7.89324I 0
u = 0.205507 + 0.689673I
a = 1.94053 − 0.63363I
b = −1.040730 + 0.293972I
−0.23085 − 3.80697I 4.88666 + 1.57735I
u = 0.205507 − 0.689673I
a = 1.94053 + 0.63363I
b = −1.040730 − 0.293972I
−0.23085 + 3.80697I 4.88666 − 1.57735I
u = −1.174460 + 0.516668I
a = 0.27953 + 1.57255I
b = 1.64809 − 1.22675I
3.83716 − 7.60793I 0
u = −1.174460 − 0.516668I
a = 0.27953 − 1.57255I
b = 1.64809 + 1.22675I
3.83716 + 7.60793I 0
u = 1.166830 + 0.541752I
a = −0.53799 + 1.34809I
b = −1.62687 − 0.92797I
4.44082 + 8.81310I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.166830 − 0.541752I
a = −0.53799 − 1.34809I
b = −1.62687 + 0.92797I
4.44082 − 8.81310I 0
u = −1.184600 + 0.543438I
a = −0.39453 − 1.70602I
b = −1.56068 + 1.42955I
1.74398 − 12.83170I 0
u = −1.184600 − 0.543438I
a = −0.39453 + 1.70602I
b = −1.56068 − 1.42955I
1.74398 + 12.83170I 0
u = −1.253330 + 0.364907I
a = −0.61750 + 1.29425I
b = 1.65687 + 0.45442I
10.99980 + 1.93342I 0
u = −1.253330 − 0.364907I
a = −0.61750 − 1.29425I
b = 1.65687 − 0.45442I
10.99980 − 1.93342I 0
u = 1.209640 + 0.530526I
a = 0.47272 − 1.73333I
b = 2.02520 + 1.40057I
9.8052 + 11.1431I 0
u = 1.209640 − 0.530526I
a = 0.47272 + 1.73333I
b = 2.02520 − 1.40057I
9.8052 − 11.1431I 0
u = −1.283030 + 0.349613I
a = 0.745627 − 1.039810I
b = −1.65372 − 0.75490I
9.16807 + 7.02990I 0
u = −1.283030 − 0.349613I
a = 0.745627 + 1.039810I
b = −1.65372 + 0.75490I
9.16807 − 7.02990I 0
u = 0.020929 + 0.667902I
a = 2.28885 + 0.95053I
b = −1.75702 + 0.28266I
6.12891 + 1.67907I 8.89545 − 2.29940I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.020929 − 0.667902I
a = 2.28885 − 0.95053I
b = −1.75702 − 0.28266I
6.12891 − 1.67907I 8.89545 + 2.29940I
u = 1.219260 + 0.547288I
a = −0.63482 + 1.81504I
b = −1.85826 − 1.62972I
7.7267 + 16.4978I 0
u = 1.219260 − 0.547288I
a = −0.63482 − 1.81504I
b = −1.85826 + 1.62972I
7.7267 − 16.4978I 0
u = 0.048425 + 0.646342I
a = −1.78755 + 0.22856I
b = 0.989489 + 0.119732I
1.46256 + 0.85039I 7.75527 − 3.74261I
u = 0.048425 − 0.646342I
a = −1.78755 − 0.22856I
b = 0.989489 − 0.119732I
1.46256 − 0.85039I 7.75527 + 3.74261I
u = 0.635537
a = −0.940489
b = −0.0286910
0.861519 12.0130
14
II. I
u
2
= hb
2
− b + 1, a
2
− 2, u + 1i
(i) Arc colorings
a
1
=
1
0
a
8
=
0
−1
a
12
=
1
1
a
4
=
a
b
a
7
=
1
0
a
3
=
b + a
b
a
2
=
ba + b
b − 1
a
6
=
−a
−b
a
11
=
0
1
a
9
=
0
−1
a
5
=
a
b − a
a
10
=
−2
−ba + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4b + 12
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u
2
− u + 1)
2
c
3
, c
6
(u
2
+ u + 1)
2
c
4
, c
5
, c
9
c
10
(u
2
− 2)
2
c
7
(u − 1)
4
c
8
u
4
c
11
, c
12
(u + 1)
4
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
2
c
4
, c
5
, c
9
c
10
(y −2)
4
c
7
, c
11
, c
12
(y −1)
4
c
8
y
4
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.41421
b = 0.500000 + 0.866025I
6.57974 − 2.02988I 14.0000 + 3.4641I
u = −1.00000
a = 1.41421
b = 0.500000 − 0.866025I
6.57974 + 2.02988I 14.0000 − 3.4641I
u = −1.00000
a = −1.41421
b = 0.500000 + 0.866025I
6.57974 − 2.02988I 14.0000 + 3.4641I
u = −1.00000
a = −1.41421
b = 0.500000 − 0.866025I
6.57974 + 2.02988I 14.0000 − 3.4641I
18
III. I
u
3
= hb
2
− b + 1, a, u − 1i
(i) Arc colorings
a
1
=
1
0
a
8
=
0
1
a
12
=
1
1
a
4
=
0
b
a
7
=
−1
0
a
3
=
b
b
a
2
=
b
b − 1
a
6
=
0
b
a
11
=
0
1
a
9
=
0
1
a
5
=
0
b
a
10
=
0
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4b + 10
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
4
, c
5
, c
8
c
9
, c
10
u
2
c
7
, c
11
(u + 1)
2
c
12
(u − 1)
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
y
2
+ y + 1
c
4
, c
5
, c
8
c
9
, c
10
y
2
c
7
, c
11
, c
12
(y −1)
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 0
b = 0.500000 + 0.866025I
1.64493 − 2.02988I 12.00000 + 3.46410I
u = 1.00000
a = 0
b = 0.500000 − 0.866025I
1.64493 + 2.02988I 12.00000 − 3.46410I
22
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
3
)(u
96
+ 44u
95
+ ··· − 24u + 1)
c
2
((u
2
− u + 1)
2
)(u
2
+ u + 1)(u
96
− 2u
95
+ ··· − 10u + 1)
c
3
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
96
+ 2u
95
+ ··· + 170u + 29)
c
4
, c
5
, c
9
u
2
(u
2
− 2)
2
(u
96
+ u
95
+ ··· + 12u − 4)
c
6
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
96
− 2u
95
+ ··· − 10u + 1)
c
7
((u − 1)
4
)(u + 1)
2
(u
96
− 3u
95
+ ··· + 33u − 7)
c
8
u
6
(u
96
− 15u
95
+ ··· − 17408u + 1792)
c
10
u
2
(u
2
− 2)
2
(u
96
− 3u
95
+ ··· + 4692u + 9292)
c
11
((u + 1)
6
)(u
96
− 53u
95
+ ··· − 417u + 49)
c
12
((u − 1)
2
)(u + 1)
4
(u
96
− 3u
95
+ ··· + 33u − 7)
23
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
3
)(y
96
+ 20y
95
+ ··· − 640y + 1)
c
2
, c
6
((y
2
+ y + 1)
3
)(y
96
+ 44y
95
+ ··· − 24y + 1)
c
3
((y
2
+ y + 1)
3
)(y
96
− 4y
95
+ ··· − 69036y + 841)
c
4
, c
5
, c
9
y
2
(y −2)
4
(y
96
− 91y
95
+ ··· + 240y + 16)
c
7
, c
12
((y −1)
6
)(y
96
− 53y
95
+ ··· − 417y + 49)
c
8
y
6
(y
96
+ 61y
95
+ ··· − 1.28483 × 10
8
y + 3211264)
c
10
y
2
(y −2)
4
(y
96
− 31y
95
+ ··· − 5.73142 × 10
8
y + 8.63413 × 10
7
)
c
11
((y −1)
6
)(y
96
− 13y
95
+ ··· − 80985y + 2401)
24
