12a
1053
(K12a
1053
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 12 2 11 3 1 6 8 5
Solving Sequence
7,11 3,8
9 4 12 2 1 6 5 10
c
7
c
8
c
3
c
11
c
2
c
1
c
6
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.26301 × 10
781
u
160
+ 2.05461 × 10
782
u
159
+ ··· + 7.41094 × 10
783
b + 8.17872 × 10
783
,
− 3.42248 × 10
785
u
160
− 8.64272 × 10
785
u
159
+ ··· + 1.13610 × 10
787
a − 1.23563 × 10
787
,
u
161
+ 2u
160
+ ··· − 1987u − 511i
I
u
2
= h1.17622 × 10
28
u
40
− 7.67187 × 10
28
u
39
+ ··· + 9.79273 × 10
25
b − 2.12717 × 10
28
,
1.01705 × 10
28
u
40
− 7.04668 × 10
28
u
39
+ ··· + 9.79273 × 10
25
a − 3.82093 × 10
28
, u
41
− 7u
40
+ ··· − 11u + 1i
I
u
3
= h24a
3
− 33a
2
+ 111b + 101a − 11, 3a
4
− 6a
3
+ 10a
2
− 11a + 13, u + 1i
* 3 irreducible components of dim
C
= 0, with total 206 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
= h6.26 × 10
781
u
160
+ 2.05 × 10
782
u
159
+ · · · + 7.41 × 10
783
b + 8.18 ×
10
783
, −3.42 × 10
785
u
160
− 8.64 × 10
785
u
159
+ · · · + 1.14 × 10
787
a − 1.24 ×
10
787
, u
161
+ 2u
160
+ · · · − 1987u − 511i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
0.0301249u
160
+ 0.0760738u
159
+ ··· + 110.911u + 1.08761
−0.00845103u
160
− 0.0277240u
159
+ ··· + 5.96229u − 1.10360
a
8
=
1
−u
2
a
9
=
−0.00881064u
160
− 0.0336941u
159
+ ··· + 219.424u + 43.1613
0.00976562u
160
+ 0.0203462u
159
+ ··· + 92.4712u + 16.6248
a
4
=
0.0730709u
160
+ 0.216943u
159
+ ··· + 146.481u + 13.8907
0.00217044u
160
+ 0.0192015u
159
+ ··· − 88.0122u − 12.4822
a
12
=
u
−u
3
+ u
a
2
=
0.0216739u
160
+ 0.0483497u
159
+ ··· + 116.873u − 0.0159891
−0.00845103u
160
− 0.0277240u
159
+ ··· + 5.96229u − 1.10360
a
1
=
0.0460419u
160
+ 0.109056u
159
+ ··· + 312.046u + 70.7585
0.00383581u
160
+ 0.0169844u
159
+ ··· − 64.9393u − 8.15623
a
6
=
−0.00323035u
160
− 0.0113517u
159
+ ··· − 118.318u − 22.2817
−5.42712 × 10
−6
u
160
+ 0.00842361u
159
+ ··· − 64.3455u − 9.81544
a
5
=
−0.00906781u
160
− 0.0286508u
159
+ ··· − 135.009u − 26.5200
−0.00307313u
160
− 0.00221306u
159
+ ··· − 66.8784u − 11.1797
a
10
=
−0.00399479u
160
+ 0.0136284u
159
+ ··· − 191.412u − 46.1352
0.00595955u
160
+ 0.0160355u
159
+ ··· + 22.3939u + 4.62095
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.447878u
160
− 1.11569u
159
+ ··· − 2252.93u − 423.424
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
161
− 9u
160
+ ··· − 7368u + 1008
c
2
, c
6
u
161
− 2u
160
+ ··· + 1477u − 211
c
3
, c
8
3(3u
161
+ 3u
160
+ ··· − 1617931u − 688369)
c
4
3(3u
161
− 3u
160
+ ··· − 360u − 67)
c
5
, c
12
u
161
− 3u
160
+ ··· + 72893u + 10561
c
7
, c
11
u
161
+ 2u
160
+ ··· − 1987u − 511
c
9
u
161
− 6u
160
+ ··· − 971313u − 191967
c
10
3(3u
161
− 6u
160
+ ··· + 53653u − 3073)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
161
− 19y
160
+ ··· − 34239168y −1016064
c
2
, c
6
y
161
− 96y
160
+ ··· + 8727171y −44521
c
3
, c
8
9(9y
161
− 993y
160
+ ··· + 6.36274 × 10
12
y −4.73852 × 10
11
)
c
4
9(9y
161
+ 375y
160
+ ··· − 456918y −4489)
c
5
, c
12
y
161
+ 125y
160
+ ··· − 2360486615y −111534721
c
7
, c
11
y
161
− 72y
160
+ ··· + 12901911y −261121
c
9
y
161
+ 66y
160
+ ··· − 2734308592791y −36851329089
c
10
9(9y
161
+ 240y
160
+ ··· − 7.15932 × 10
9
y −9443329)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.307620 + 0.952167I
a = 0.866623 − 0.790009I
b = 1.012620 + 0.071160I
−6.60700 + 2.07406I 0
u = −0.307620 − 0.952167I
a = 0.866623 + 0.790009I
b = 1.012620 − 0.071160I
−6.60700 − 2.07406I 0
u = −0.694056 + 0.721930I
a = −0.330278 + 0.483316I
b = 1.239190 − 0.345554I
−9.53706 − 1.18119I 0
u = −0.694056 − 0.721930I
a = −0.330278 − 0.483316I
b = 1.239190 + 0.345554I
−9.53706 + 1.18119I 0
u = 0.757194 + 0.665062I
a = −0.886099 − 0.367909I
b = −0.913713 + 0.411469I
−0.86721 + 3.70442I 0
u = 0.757194 − 0.665062I
a = −0.886099 + 0.367909I
b = −0.913713 − 0.411469I
−0.86721 − 3.70442I 0
u = 1.000180 + 0.136656I
a = −1.48453 − 0.76706I
b = 0.696245 + 0.987721I
2.08414 − 2.27177I 0
u = 1.000180 − 0.136656I
a = −1.48453 + 0.76706I
b = 0.696245 − 0.987721I
2.08414 + 2.27177I 0
u = −1.010580 + 0.202660I
a = 0.14322 + 1.42243I
b = −0.353449 − 1.049120I
1.54662 − 3.90229I 0
u = −1.010580 − 0.202660I
a = 0.14322 − 1.42243I
b = −0.353449 + 1.049120I
1.54662 + 3.90229I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.937649 + 0.480925I
a = −0.55660 + 1.64914I
b = −0.051191 − 1.321570I
0.65918 − 4.35120I 0
u = −0.937649 − 0.480925I
a = −0.55660 − 1.64914I
b = −0.051191 + 1.321570I
0.65918 + 4.35120I 0
u = −0.858875 + 0.384915I
a = 0.726945 − 0.833196I
b = −0.821170 + 0.835424I
−0.825469 + 0.869464I 0
u = −0.858875 − 0.384915I
a = 0.726945 + 0.833196I
b = −0.821170 − 0.835424I
−0.825469 − 0.869464I 0
u = −0.419403 + 0.975159I
a = 0.057520 − 0.189889I
b = 1.41069 − 0.39658I
−6.64563 + 5.26029I 0
u = −0.419403 − 0.975159I
a = 0.057520 + 0.189889I
b = 1.41069 + 0.39658I
−6.64563 − 5.26029I 0
u = −0.859602 + 0.324491I
a = 0.250764 + 1.122800I
b = −1.182960 − 0.369855I
−1.51059 − 1.54088I 0
u = −0.859602 − 0.324491I
a = 0.250764 − 1.122800I
b = −1.182960 + 0.369855I
−1.51059 + 1.54088I 0
u = −0.808002 + 0.437102I
a = 1.14632 − 1.42956I
b = −0.60913 + 1.29036I
0.161696 + 0.583000I 0
u = −0.808002 − 0.437102I
a = 1.14632 + 1.42956I
b = −0.60913 − 1.29036I
0.161696 − 0.583000I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.985990 + 0.448382I
a = 0.51871 + 1.55479I
b = −0.393892 − 1.326190I
0.70368 + 6.58930I 0
u = 0.985990 − 0.448382I
a = 0.51871 − 1.55479I
b = −0.393892 + 1.326190I
0.70368 − 6.58930I 0
u = −0.455529 + 0.790509I
a = 0.320006 + 0.168144I
b = −1.339760 + 0.406077I
−4.19116 + 1.49970I 0
u = −0.455529 − 0.790509I
a = 0.320006 − 0.168144I
b = −1.339760 − 0.406077I
−4.19116 − 1.49970I 0
u = 0.803804 + 0.418287I
a = 0.592060 + 0.658989I
b = 0.592812 − 0.098081I
1.26994 + 0.65097I 0
u = 0.803804 − 0.418287I
a = 0.592060 − 0.658989I
b = 0.592812 + 0.098081I
1.26994 − 0.65097I 0
u = 0.955278 + 0.547579I
a = −0.663249 − 1.208280I
b = −1.327180 + 0.459083I
−2.03806 + 5.71043I 0
u = 0.955278 − 0.547579I
a = −0.663249 + 1.208280I
b = −1.327180 − 0.459083I
−2.03806 − 5.71043I 0
u = −0.191812 + 0.875991I
a = −1.139400 − 0.259186I
b = −1.000060 + 0.426340I
−4.71556 + 7.72629I 0
u = −0.191812 − 0.875991I
a = −1.139400 + 0.259186I
b = −1.000060 − 0.426340I
−4.71556 − 7.72629I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.184694 + 1.096180I
a = 0.939637 − 0.544248I
b = 0.936750 + 0.091000I
−6.60534 + 2.09068I 0
u = −0.184694 − 1.096180I
a = 0.939637 + 0.544248I
b = 0.936750 − 0.091000I
−6.60534 − 2.09068I 0
u = 0.003922 + 1.111630I
a = −0.010112 + 0.157415I
b = 1.272180 + 0.011915I
−7.46914 + 2.60399I 0
u = 0.003922 − 1.111630I
a = −0.010112 − 0.157415I
b = 1.272180 − 0.011915I
−7.46914 − 2.60399I 0
u = 0.854194 + 0.217676I
a = −0.94349 − 1.76774I
b = −1.052330 + 0.212840I
−0.385901 + 0.880521I 0
u = 0.854194 − 0.217676I
a = −0.94349 + 1.76774I
b = −1.052330 − 0.212840I
−0.385901 − 0.880521I 0
u = 0.032139 + 1.119890I
a = −1.158780 + 0.171505I
b = −0.396381 + 0.036617I
−6.87436 − 0.19637I 0
u = 0.032139 − 1.119890I
a = −1.158780 − 0.171505I
b = −0.396381 − 0.036617I
−6.87436 + 0.19637I 0
u = 0.695042 + 0.536591I
a = −0.46289 − 1.57307I
b = −1.040120 − 0.236485I
−2.85536 − 1.30798I 0
u = 0.695042 − 0.536591I
a = −0.46289 + 1.57307I
b = −1.040120 + 0.236485I
−2.85536 + 1.30798I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.985279 + 0.538650I
a = 0.76199 − 1.93563I
b = −1.36833 + 0.52170I
−9.89158 − 2.57237I 0
u = 0.985279 − 0.538650I
a = 0.76199 + 1.93563I
b = −1.36833 − 0.52170I
−9.89158 + 2.57237I 0
u = −1.022010 + 0.467580I
a = 0.91171 + 2.08493I
b = −1.294080 − 0.239306I
−9.30991 − 8.55394I 0
u = −1.022010 − 0.467580I
a = 0.91171 − 2.08493I
b = −1.294080 + 0.239306I
−9.30991 + 8.55394I 0
u = 0.851820 + 0.169769I
a = −0.67708 + 4.78281I
b = 0.965814 − 0.093885I
−5.31714 + 0.40817I 0
u = 0.851820 − 0.169769I
a = −0.67708 − 4.78281I
b = 0.965814 + 0.093885I
−5.31714 − 0.40817I 0
u = −0.921455 + 0.656767I
a = −0.38602 + 1.51307I
b = −0.640684 − 0.634913I
−0.44077 − 4.98095I 0
u = −0.921455 − 0.656767I
a = −0.38602 − 1.51307I
b = −0.640684 + 0.634913I
−0.44077 + 4.98095I 0
u = −0.271216 + 0.819246I
a = −1.24613 + 0.85630I
b = 0.041868 − 0.347528I
−6.88233 − 0.33258I 0
u = −0.271216 − 0.819246I
a = −1.24613 − 0.85630I
b = 0.041868 + 0.347528I
−6.88233 + 0.33258I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.693972 + 0.509299I
a = 0.507902 − 0.115093I
b = −1.70331 − 0.29314I
−10.85730 + 6.84553I 0
u = 0.693972 − 0.509299I
a = 0.507902 + 0.115093I
b = −1.70331 + 0.29314I
−10.85730 − 6.84553I 0
u = 1.117250 + 0.227880I
a = 0.766964 + 0.706263I
b = 0.007454 − 0.728885I
2.12196 + 1.12457I 0
u = 1.117250 − 0.227880I
a = 0.766964 − 0.706263I
b = 0.007454 + 0.728885I
2.12196 − 1.12457I 0
u = −1.033530 + 0.481715I
a = −0.472882 + 0.393165I
b = −1.003090 − 0.207258I
0.402697 + 0.643428I 0
u = −1.033530 − 0.481715I
a = −0.472882 − 0.393165I
b = −1.003090 + 0.207258I
0.402697 − 0.643428I 0
u = 0.017597 + 0.857790I
a = −0.231783 + 0.317848I
b = −0.284232 − 0.556968I
−2.74068 + 3.84729I 0
u = 0.017597 − 0.857790I
a = −0.231783 − 0.317848I
b = −0.284232 + 0.556968I
−2.74068 − 3.84729I 0
u = −0.950675 + 0.647649I
a = −0.33656 − 1.86089I
b = 1.006750 + 0.574344I
−8.74792 − 4.04244I 0
u = −0.950675 − 0.647649I
a = −0.33656 + 1.86089I
b = 1.006750 − 0.574344I
−8.74792 + 4.04244I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.735215 + 0.409795I
a = −0.23133 + 1.79689I
b = 0.104232 − 0.269080I
−0.76863 − 4.77869I 0
u = −0.735215 − 0.409795I
a = −0.23133 − 1.79689I
b = 0.104232 + 0.269080I
−0.76863 + 4.77869I 0
u = −1.158840 + 0.039032I
a = 0.316449 − 0.934287I
b = 0.760558 + 0.517548I
−0.93293 + 5.77134I 0
u = −1.158840 − 0.039032I
a = 0.316449 + 0.934287I
b = 0.760558 − 0.517548I
−0.93293 − 5.77134I 0
u = −0.804022 + 0.239785I
a = 0.48327 + 2.11877I
b = −1.032630 − 0.793721I
−1.20518 − 3.26420I 0
u = −0.804022 − 0.239785I
a = 0.48327 − 2.11877I
b = −1.032630 + 0.793721I
−1.20518 + 3.26420I 0
u = 0.269887 + 1.141870I
a = 0.1198000 − 0.0223834I
b = −1.275770 − 0.373104I
−5.53964 − 7.31871I 0
u = 0.269887 − 1.141870I
a = 0.1198000 + 0.0223834I
b = −1.275770 + 0.373104I
−5.53964 + 7.31871I 0
u = 0.420657 + 0.703984I
a = 1.50506 + 1.07916I
b = −0.079209 − 0.914598I
−6.04723 − 8.13513I 0
u = 0.420657 − 0.703984I
a = 1.50506 − 1.07916I
b = −0.079209 + 0.914598I
−6.04723 + 8.13513I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.165150 + 0.193425I
a = −0.548727 + 1.055140I
b = 0.356427 − 0.913261I
5.40078 − 2.71520I 0
u = −1.165150 − 0.193425I
a = −0.548727 − 1.055140I
b = 0.356427 + 0.913261I
5.40078 + 2.71520I 0
u = 1.140350 + 0.318627I
a = 0.282837 − 0.522051I
b = −0.314726 − 0.123081I
0.686846 + 0.619169I 0
u = 1.140350 − 0.318627I
a = 0.282837 + 0.522051I
b = −0.314726 + 0.123081I
0.686846 − 0.619169I 0
u = 1.096020 + 0.467989I
a = 0.560109 + 1.252580I
b = 1.207030 − 0.201722I
−3.23869 + 2.03875I 0
u = 1.096020 − 0.467989I
a = 0.560109 − 1.252580I
b = 1.207030 + 0.201722I
−3.23869 − 2.03875I 0
u = 0.721328 + 0.359732I
a = 0.77747 + 1.67740I
b = 1.067260 − 0.771280I
0.71088 + 4.08799I 0
u = 0.721328 − 0.359732I
a = 0.77747 − 1.67740I
b = 1.067260 + 0.771280I
0.71088 − 4.08799I 0
u = −0.962638 + 0.706744I
a = −0.597389 + 0.508482I
b = 0.767042 − 1.071850I
−1.83931 + 0.56339I 0
u = −0.962638 − 0.706744I
a = −0.597389 − 0.508482I
b = 0.767042 + 1.071850I
−1.83931 − 0.56339I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.172650 + 0.226323I
a = 0.784130 − 1.062820I
b = −0.709586 + 0.108836I
0.764169 + 0.726900I 0
u = 1.172650 − 0.226323I
a = 0.784130 + 1.062820I
b = −0.709586 − 0.108836I
0.764169 − 0.726900I 0
u = 0.734739 + 0.326705I
a = −0.51537 − 2.07800I
b = 0.350819 + 1.184560I
−0.29875 − 3.16720I 0
u = 0.734739 − 0.326705I
a = −0.51537 + 2.07800I
b = 0.350819 − 1.184560I
−0.29875 + 3.16720I 0
u = −0.675750 + 0.432473I
a = −0.380087 + 0.086928I
b = −1.62283 + 0.12770I
−10.51280 + 4.76884I 0
u = −0.675750 − 0.432473I
a = −0.380087 − 0.086928I
b = −1.62283 − 0.12770I
−10.51280 − 4.76884I 0
u = −1.107660 + 0.467400I
a = 0.15975 − 1.49382I
b = 1.177430 + 0.577761I
2.81006 − 8.16039I 0
u = −1.107660 − 0.467400I
a = 0.15975 + 1.49382I
b = 1.177430 − 0.577761I
2.81006 + 8.16039I 0
u = −0.485771 + 0.624507I
a = 0.098286 + 0.452985I
b = 1.361420 + 0.036756I
−9.89815 − 1.88335I 0
u = −0.485771 − 0.624507I
a = 0.098286 − 0.452985I
b = 1.361420 − 0.036756I
−9.89815 + 1.88335I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.879991 + 0.835503I
a = 0.71539 − 1.39669I
b = 0.888029 + 0.924356I
−2.24651 − 6.45118I 0
u = −0.879991 − 0.835503I
a = 0.71539 + 1.39669I
b = 0.888029 − 0.924356I
−2.24651 + 6.45118I 0
u = 1.088000 + 0.543624I
a = 0.041343 + 1.136390I
b = −0.057012 − 1.033290I
−4.10644 + 4.81745I 0
u = 1.088000 − 0.543624I
a = 0.041343 − 1.136390I
b = −0.057012 + 1.033290I
−4.10644 − 4.81745I 0
u = 1.142840 + 0.458145I
a = −0.81265 + 1.69244I
b = 1.18734 − 0.86096I
−6.70805 + 4.94301I 0
u = 1.142840 − 0.458145I
a = −0.81265 − 1.69244I
b = 1.18734 + 0.86096I
−6.70805 − 4.94301I 0
u = 1.085870 + 0.600474I
a = −0.520902 − 1.258190I
b = 0.234438 + 1.302790I
−4.13261 + 13.19360I 0
u = 1.085870 − 0.600474I
a = −0.520902 + 1.258190I
b = 0.234438 − 1.302790I
−4.13261 − 13.19360I 0
u = 1.032770 + 0.719144I
a = 0.418032 + 1.133370I
b = 0.984478 − 0.525327I
2.05779 + 4.30128I 0
u = 1.032770 − 0.719144I
a = 0.418032 − 1.133370I
b = 0.984478 + 0.525327I
2.05779 − 4.30128I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.095300 + 0.624979I
a = −0.54811 − 1.43698I
b = 0.930832 + 0.131515I
−8.06950 − 3.11695I 0
u = −1.095300 − 0.624979I
a = −0.54811 + 1.43698I
b = 0.930832 − 0.131515I
−8.06950 + 3.11695I 0
u = −1.099820 + 0.623025I
a = 0.23410 + 1.70065I
b = −1.29773 − 0.76663I
−2.26951 − 6.82849I 0
u = −1.099820 − 0.623025I
a = 0.23410 − 1.70065I
b = −1.29773 + 0.76663I
−2.26951 + 6.82849I 0
u = 1.26971
a = 0.495882
b = 0.0792004
2.35694 0
u = −1.094260 + 0.656736I
a = 0.039155 − 0.780404I
b = 1.329630 + 0.241308I
−4.54665 − 7.77977I 0
u = −1.094260 − 0.656736I
a = 0.039155 + 0.780404I
b = 1.329630 − 0.241308I
−4.54665 + 7.77977I 0
u = −1.114320 + 0.627334I
a = 0.326792 − 1.058440I
b = −0.250320 + 0.944682I
−4.62569 − 5.07135I 0
u = −1.114320 − 0.627334I
a = 0.326792 + 1.058440I
b = −0.250320 − 0.944682I
−4.62569 + 5.07135I 0
u = 1.211310 + 0.413659I
a = 0.075816 − 1.213030I
b = −0.728472 + 0.405990I
0.931777 + 0.701045I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.211310 − 0.413659I
a = 0.075816 + 1.213030I
b = −0.728472 − 0.405990I
0.931777 − 0.701045I 0
u = −0.206058 + 1.282840I
a = 0.0124771 + 0.1216520I
b = 1.154620 − 0.088449I
−7.42172 + 2.56249I 0
u = −0.206058 − 1.282840I
a = 0.0124771 − 0.1216520I
b = 1.154620 + 0.088449I
−7.42172 − 2.56249I 0
u = −1.169460 + 0.583060I
a = −0.37649 + 1.43236I
b = −1.232280 − 0.471962I
−1.93119 − 12.97130I 0
u = −1.169460 − 0.583060I
a = −0.37649 − 1.43236I
b = −1.232280 + 0.471962I
−1.93119 + 12.97130I 0
u = 1.246210 + 0.417941I
a = −0.346506 − 0.388457I
b = 0.638219 + 0.549929I
3.13980 − 0.13080I 0
u = 1.246210 − 0.417941I
a = −0.346506 + 0.388457I
b = 0.638219 − 0.549929I
3.13980 + 0.13080I 0
u = 0.527021 + 1.211110I
a = −0.0745299 − 0.0615258I
b = 1.287990 + 0.486449I
−10.0825 − 13.1010I 0
u = 0.527021 − 1.211110I
a = −0.0745299 + 0.0615258I
b = 1.287990 − 0.486449I
−10.0825 + 13.1010I 0
u = −1.261480 + 0.402454I
a = 0.548037 − 0.770393I
b = −0.221380 + 0.733993I
1.23623 − 8.36689I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.261480 − 0.402454I
a = 0.548037 + 0.770393I
b = −0.221380 − 0.733993I
1.23623 + 8.36689I 0
u = −1.163140 + 0.672582I
a = −0.18295 − 1.60363I
b = 1.49830 + 0.62235I
−4.37002 − 11.22320I 0
u = −1.163140 − 0.672582I
a = −0.18295 + 1.60363I
b = 1.49830 − 0.62235I
−4.37002 + 11.22320I 0
u = 1.224710 + 0.605505I
a = −0.524014 + 1.299420I
b = 1.34050 − 0.54211I
−4.02782 + 3.12105I 0
u = 1.224710 − 0.605505I
a = −0.524014 − 1.299420I
b = 1.34050 + 0.54211I
−4.02782 − 3.12105I 0
u = 1.364990 + 0.182342I
a = 0.323149 + 0.836958I
b = −0.819383 − 0.601543I
0.67328 − 3.59709I 0
u = 1.364990 − 0.182342I
a = 0.323149 − 0.836958I
b = −0.819383 + 0.601543I
0.67328 + 3.59709I 0
u = −1.229520 + 0.636195I
a = −0.32520 − 1.45121I
b = 1.226310 + 0.467301I
−4.23716 − 8.67666I 0
u = −1.229520 − 0.636195I
a = −0.32520 + 1.45121I
b = 1.226310 − 0.467301I
−4.23716 + 8.67666I 0
u = 1.406200 + 0.013882I
a = −0.868557 − 0.076576I
b = 0.911858 + 0.257334I
0.15377 − 1.85758I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.406200 − 0.013882I
a = −0.868557 + 0.076576I
b = 0.911858 − 0.257334I
0.15377 + 1.85758I 0
u = 1.25467 + 0.66516I
a = 0.30215 − 1.46481I
b = −1.32994 + 0.69700I
−2.48281 + 13.64050I 0
u = 1.25467 − 0.66516I
a = 0.30215 + 1.46481I
b = −1.32994 − 0.69700I
−2.48281 − 13.64050I 0
u = 0.411749 + 0.385093I
a = 0.648489 + 0.312236I
b = 0.357954 + 0.323299I
1.146770 + 0.623643I 6.37992 − 1.17885I
u = 0.411749 − 0.385093I
a = 0.648489 − 0.312236I
b = 0.357954 − 0.323299I
1.146770 − 0.623643I 6.37992 + 1.17885I
u = 0.499123 + 0.248148I
a = −1.122280 − 0.474782I
b = 1.70974 + 0.39088I
−9.09747 − 1.48318I −33.5204 − 1.1909I
u = 0.499123 − 0.248148I
a = −1.122280 + 0.474782I
b = 1.70974 − 0.39088I
−9.09747 + 1.48318I −33.5204 + 1.1909I
u = −0.66833 + 1.28724I
a = −0.019462 − 0.147584I
b = −1.137820 + 0.413007I
−9.73951 + 3.15623I 0
u = −0.66833 − 1.28724I
a = −0.019462 + 0.147584I
b = −1.137820 − 0.413007I
−9.73951 − 3.15623I 0
u = 1.23548 + 0.77270I
a = −0.06823 + 1.49782I
b = 1.36553 − 0.67981I
−7.7590 + 20.1115I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.23548 − 0.77270I
a = −0.06823 − 1.49782I
b = 1.36553 + 0.67981I
−7.7590 − 20.1115I 0
u = 0.482444 + 0.214250I
a = −0.91575 − 3.66564I
b = 0.777694 + 0.364075I
−6.46494 − 0.70369I −0.42319 + 1.37241I
u = 0.482444 − 0.214250I
a = −0.91575 + 3.66564I
b = 0.777694 − 0.364075I
−6.46494 + 0.70369I −0.42319 − 1.37241I
u = −0.037171 + 0.513665I
a = 1.45345 − 0.15371I
b = 0.824495 − 0.488952I
0.08451 + 4.25610I 2.06157 − 6.69602I
u = −0.037171 − 0.513665I
a = 1.45345 + 0.15371I
b = 0.824495 + 0.488952I
0.08451 − 4.25610I 2.06157 + 6.69602I
u = 0.69791 + 1.31654I
a = 0.1021750 − 0.0356810I
b = −1.173860 − 0.349159I
−9.80408 − 2.91263I 0
u = 0.69791 − 1.31654I
a = 0.1021750 + 0.0356810I
b = −1.173860 + 0.349159I
−9.80408 + 2.91263I 0
u = 1.22964 + 0.84982I
a = 0.053369 − 1.204230I
b = −1.30517 + 0.57043I
−7.88026 + 10.53010I 0
u = 1.22964 − 0.84982I
a = 0.053369 + 1.204230I
b = −1.30517 − 0.57043I
−7.88026 − 10.53010I 0
u = −1.25141 + 0.82324I
a = −0.021538 + 1.378970I
b = −1.233440 − 0.584666I
−7.65179 − 10.64380I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.25141 − 0.82324I
a = −0.021538 − 1.378970I
b = −1.233440 + 0.584666I
−7.65179 + 10.64380I 0
u = 0.013340 + 0.475861I
a = 0.826953 + 0.797491I
b = −0.314578 + 0.562221I
−1.12862 + 1.55624I 0.14713 − 4.64540I
u = 0.013340 − 0.475861I
a = 0.826953 − 0.797491I
b = −0.314578 − 0.562221I
−1.12862 − 1.55624I 0.14713 + 4.64540I
u = −0.300972 + 0.276834I
a = 0.957991 − 0.373426I
b = −0.634501 + 0.414017I
−1.22189 + 0.97193I −3.13839 − 0.91119I
u = −0.300972 − 0.276834I
a = 0.957991 + 0.373426I
b = −0.634501 − 0.414017I
−1.22189 − 0.97193I −3.13839 + 0.91119I
u = −1.62034 + 0.17971I
a = −0.694876 − 0.382724I
b = 0.904747 + 0.208992I
−0.99352 − 8.67527I 0
u = −1.62034 − 0.17971I
a = −0.694876 + 0.382724I
b = 0.904747 − 0.208992I
−0.99352 + 8.67527I 0
u = −1.65831 + 0.24819I
a = 0.730006 + 0.153017I
b = −0.907619 + 0.066140I
1.07814 + 1.74223I 0
u = −1.65831 − 0.24819I
a = 0.730006 − 0.153017I
b = −0.907619 − 0.066140I
1.07814 − 1.74223I 0
u = −0.226753 + 0.106637I
a = −0.28469 − 10.30590I
b = −0.473559 − 0.221475I
−5.59662 − 7.70854I −8.24793 − 2.14980I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.226753 − 0.106637I
a = −0.28469 + 10.30590I
b = −0.473559 + 0.221475I
−5.59662 + 7.70854I −8.24793 + 2.14980I
21
II. I
u
2
=
h1.18×10
28
u
40
−7.67×10
28
u
39
+· · ·+9.79×10
25
b−2.13×10
28
, 1.02×10
28
u
40
−
7.05 × 10
28
u
39
+ · · · + 9.79 × 10
25
a − 3.82 × 10
28
, u
41
− 7u
40
+ · · · − 11u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
−103.857u
40
+ 719.583u
39
+ ··· − 3148.45u + 390.180
−120.112u
40
+ 783.425u
39
+ ··· − 2058.58u + 217.220
a
8
=
1
−u
2
a
9
=
124.264u
40
− 817.539u
39
+ ··· + 3063.75u − 395.819
−55.1185u
40
+ 353.795u
39
+ ··· − 673.835u + 63.0433
a
4
=
307.135u
40
− 1996.42u
39
+ ··· + 5623.44u − 646.147
195.331u
40
− 1283.74u
39
+ ··· + 3749.84u − 420.564
a
12
=
u
−u
3
+ u
a
2
=
−223.969u
40
+ 1503.01u
39
+ ··· − 5207.03u + 607.400
−120.112u
40
+ 783.425u
39
+ ··· − 2058.58u + 217.220
a
1
=
−71.0994u
40
+ 446.847u
39
+ ··· − 691.806u + 42.5459
112.241u
40
− 787.184u
39
+ ··· + 3603.51u − 452.969
a
6
=
−215.948u
40
+ 1447.88u
39
+ ··· − 5228.86u + 629.808
63.8011u
40
− 427.927u
39
+ ··· + 1300.88u − 145.479
a
5
=
−227.513u
40
+ 1540.45u
39
+ ··· − 5878.18u + 713.136
36.9235u
40
− 240.586u
39
+ ··· + 512.290u − 50.5412
a
10
=
−64.0733u
40
+ 471.524u
39
+ ··· − 3124.37u + 446.988
−164.675u
40
+ 1097.03u
39
+ ··· − 3882.64u + 475.560
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
69151959893570817174266446784
97927278772762685526176667
u
40
+
461052684880726699730660001043
97927278772762685526176667
u
39
+ ··· −
1296998207775107934587459370884
97927278772762685526176667
u +
132975992063944991565103362257
97927278772762685526176667
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
41
− 8u
40
+ ··· − 555u + 37
c
2
u
41
+ u
40
+ ··· + 3u − 1
c
3
u
41
− 9u
39
+ ··· + 9u
2
+ 1
c
4
u
41
+ 15u
39
+ ··· − u + 1
c
5
u
41
+ 2u
40
+ ··· − 15u − 1
c
6
u
41
− u
40
+ ··· + 3u + 1
c
7
u
41
− 7u
40
+ ··· − 11u + 1
c
8
u
41
− 9u
39
+ ··· − 9u
2
− 1
c
9
u
41
+ 14u
39
+ ··· + 2u + 1
c
10
u
41
+ 10u
39
+ ··· + 7u − 1
c
11
u
41
+ 7u
40
+ ··· − 11u − 1
c
12
u
41
− 2u
40
+ ··· − 15u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
41
− 4y
40
+ ··· − 2701y −1369
c
2
, c
6
y
41
− 27y
40
+ ··· + 35y −1
c
3
, c
8
y
41
− 18y
40
+ ··· − 18y −1
c
4
y
41
+ 30y
40
+ ··· − y −1
c
5
, c
12
y
41
+ 38y
40
+ ··· − 27y −1
c
7
, c
11
y
41
− 17y
40
+ ··· + 33y −1
c
9
y
41
+ 28y
40
+ ··· + 12y −1
c
10
y
41
+ 20y
40
+ ··· + 61y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.927142 + 0.347305I
a = −0.458871 + 1.255540I
b = −1.057560 − 0.222374I
−0.209317 − 1.191770I 3.70255 + 3.16958I
u = −0.927142 − 0.347305I
a = −0.458871 − 1.255540I
b = −1.057560 + 0.222374I
−0.209317 + 1.191770I 3.70255 − 3.16958I
u = −0.779419 + 0.650200I
a = 0.830867 − 0.924238I
b = 1.082080 + 0.668899I
−0.40581 − 4.85911I 2.00000 + 7.72188I
u = −0.779419 − 0.650200I
a = 0.830867 + 0.924238I
b = 1.082080 − 0.668899I
−0.40581 + 4.85911I 2.00000 − 7.72188I
u = 0.169274 + 0.961950I
a = −0.379003 − 0.109241I
b = 1.186620 + 0.201083I
−9.46272 − 0.62426I −5.91667 + 0.44319I
u = 0.169274 − 0.961950I
a = −0.379003 + 0.109241I
b = 1.186620 − 0.201083I
−9.46272 + 0.62426I −5.91667 − 0.44319I
u = 0.852470 + 0.470972I
a = −1.006690 − 0.985928I
b = 0.80738 + 1.23399I
0.20579 − 1.47899I 4.23119 + 4.48438I
u = 0.852470 − 0.470972I
a = −1.006690 + 0.985928I
b = 0.80738 − 1.23399I
0.20579 + 1.47899I 4.23119 − 4.48438I
u = 0.874084 + 0.404182I
a = 0.29626 + 1.99805I
b = 0.104278 − 1.050880I
0.12542 + 5.23179I 2.84870 − 9.19616I
u = 0.874084 − 0.404182I
a = 0.29626 − 1.99805I
b = 0.104278 + 1.050880I
0.12542 − 5.23179I 2.84870 + 9.19616I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.134326 + 0.938630I
a = 1.92681 − 0.22109I
b = 0.735171 − 0.074399I
−7.55315 + 0.49721I −12.44075 − 0.83713I
u = −0.134326 − 0.938630I
a = 1.92681 + 0.22109I
b = 0.735171 + 0.074399I
−7.55315 − 0.49721I −12.44075 + 0.83713I
u = 0.847382 + 0.673086I
a = 0.59982 + 1.67848I
b = 0.798239 − 0.790803I
−0.04074 + 5.69554I 0. − 10.22141I
u = 0.847382 − 0.673086I
a = 0.59982 − 1.67848I
b = 0.798239 + 0.790803I
−0.04074 − 5.69554I 0. + 10.22141I
u = −0.814515 + 0.148698I
a = 0.01989 − 4.77317I
b = 0.983453 + 0.090171I
−5.36930 − 0.36776I −26.9936 − 46.1947I
u = −0.814515 − 0.148698I
a = 0.01989 + 4.77317I
b = 0.983453 − 0.090171I
−5.36930 + 0.36776I −26.9936 + 46.1947I
u = −0.767792 + 0.210103I
a = 0.25462 + 2.21185I
b = −1.055760 − 0.709790I
−1.14623 − 2.95576I 1.49798 − 5.01948I
u = −0.767792 − 0.210103I
a = 0.25462 − 2.21185I
b = −1.055760 + 0.709790I
−1.14623 + 2.95576I 1.49798 + 5.01948I
u = −1.206980 + 0.004858I
a = 0.522791 − 0.594761I
b = −0.681406 + 0.517358I
1.05481 + 1.82958I 0
u = −1.206980 − 0.004858I
a = 0.522791 + 0.594761I
b = −0.681406 − 0.517358I
1.05481 − 1.82958I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.130650 + 0.476710I
a = −0.74768 + 1.67148I
b = 1.077280 − 0.799534I
−6.46333 + 5.00874I 0
u = 1.130650 − 0.476710I
a = −0.74768 − 1.67148I
b = 1.077280 + 0.799534I
−6.46333 − 5.00874I 0
u = −1.163120 + 0.457722I
a = −0.745162 + 0.080722I
b = 0.646488 − 0.575713I
1.073130 + 0.108725I 0
u = −1.163120 − 0.457722I
a = −0.745162 − 0.080722I
b = 0.646488 + 0.575713I
1.073130 − 0.108725I 0
u = 0.50894 + 1.32024I
a = −0.0545155 + 0.0076336I
b = −1.180730 − 0.282349I
−7.90500 − 3.73304I 0
u = 0.50894 − 1.32024I
a = −0.0545155 − 0.0076336I
b = −1.180730 + 0.282349I
−7.90500 + 3.73304I 0
u = 0.13872 + 1.40852I
a = −0.671598 − 0.214370I
b = −0.704102 + 0.153201I
−5.88626 − 1.89602I 0
u = 0.13872 − 1.40852I
a = −0.671598 + 0.214370I
b = −0.704102 − 0.153201I
−5.88626 + 1.89602I 0
u = 1.23516 + 0.69600I
a = 0.194284 − 1.366840I
b = −1.38116 + 0.49611I
−5.16982 + 10.63520I 0
u = 1.23516 − 0.69600I
a = 0.194284 + 1.366840I
b = −1.38116 − 0.49611I
−5.16982 − 10.63520I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.541613 + 0.208824I
a = −0.746318 − 0.695676I
b = 1.67442 + 0.36291I
−8.94999 − 1.49636I 20.7031 + 3.0348I
u = 0.541613 − 0.208824I
a = −0.746318 + 0.695676I
b = 1.67442 − 0.36291I
−8.94999 + 1.49636I 20.7031 − 3.0348I
u = 0.505972 + 0.281568I
a = −0.09598 − 5.32389I
b = −0.507756 + 0.380061I
−5.43434 + 8.00305I 3.2067 − 18.2543I
u = 0.505972 − 0.281568I
a = −0.09598 + 5.32389I
b = −0.507756 − 0.380061I
−5.43434 − 8.00305I 3.2067 + 18.2543I
u = 1.42007 + 0.26318I
a = 0.257366 − 0.114072I
b = 0.388206 + 0.250021I
2.23063 − 1.66443I 0
u = 1.42007 − 0.26318I
a = 0.257366 + 0.114072I
b = 0.388206 − 0.250021I
2.23063 + 1.66443I 0
u = −1.44664
a = 0.968478
b = −0.842248
1.38645 0
u = 1.43864 + 0.27829I
a = −0.086081 + 0.267918I
b = −0.395833 − 0.011531I
−0.24255 + 7.82530I 0
u = 1.43864 − 0.27829I
a = −0.086081 − 0.267918I
b = −0.395833 + 0.011531I
−0.24255 − 7.82530I 0
u = 0.353644 + 0.050253I
a = −0.39505 − 2.54918I
b = −1.59820 + 0.06316I
−10.23170 − 5.70633I −1.45537 + 6.02958I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.353644 − 0.050253I
a = −0.39505 + 2.54918I
b = −1.59820 − 0.06316I
−10.23170 + 5.70633I −1.45537 − 6.02958I
31
III.
I
u
3
= h24a
3
− 33a
2
+ 111b + 101a − 11, 3a
4
− 6a
3
+ 10a
2
− 11a + 13, u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
−1
a
3
=
a
−0.216216a
3
+ 0.297297a
2
− 0.909910a + 0.0990991
a
8
=
1
−1
a
9
=
−0.135135a
3
+ 0.810811a
2
− 0.693694a + 1.93694
0.0810811a
3
− 0.486486a
2
+ 0.216216a − 1.16216
a
4
=
1
3
a −
1
3
−0.243243a
3
+ 0.459459a
2
− 0.648649a + 0.486486
a
12
=
−1
0
a
2
=
−0.216216a
3
+ 0.297297a
2
+ 0.0900901a + 0.0990991
−0.216216a
3
+ 0.297297a
2
− 0.909910a + 0.0990991
a
1
=
−0.216216a
3
+ 0.297297a
2
+ 0.0900901a + 0.0990991
−0.216216a
3
+ 0.297297a
2
− 0.909910a + 0.0990991
a
6
=
−0.0810811a
3
+ 0.486486a
2
− 0.216216a + 1.16216
−0.216216a
3
+ 0.297297a
2
− 0.909910a + 1.09910
a
5
=
0.135135a
3
+ 0.189189a
2
+ 0.693694a + 0.0630631
−0.216216a
3
+ 0.297297a
2
− 0.909910a + 1.09910
a
10
=
0.0810811a
3
+ 0.513514a
2
+ 0.216216a + 0.837838
−0.432432a
3
+ 0.594595a
2
− 0.819820a + 0.198198
(ii) Obstruction class = 1
(iii) Cusp Shapes =
57
37
a
3
−
397
111
a
2
+
493
111
a −
40
37
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
4
c
2
, c
5
(u
2
− u + 1)
2
c
3
, c
4
3(3u
4
− 2u
2
+ u + 1)
c
6
, c
12
(u
2
+ u + 1)
2
c
7
(u + 1)
4
c
8
3(3u
4
− 2u
2
− u + 1)
c
9
u
4
+ u
3
+ u
2
+ 3u + 3
c
10
3(3u
4
− 9u
3
+ 10u
2
− 4u + 1)
c
11
(u − 1)
4
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
4
c
2
, c
5
, c
6
c
12
(y
2
+ y + 1)
2
c
3
, c
4
, c
8
9(9y
4
− 12y
3
+ 10y
2
− 5y + 1)
c
7
, c
11
(y −1)
4
c
9
y
4
+ y
3
+ y
2
− 3y + 9
c
10
9(9y
4
− 21y
3
+ 34y
2
+ 4y + 1)
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −0.179545 + 1.367100I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 6.23264 + 4.09518I
u = −1.00000
a = −0.179545 − 1.367100I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 6.23264 − 4.09518I
u = −1.00000
a = 1.17955 + 0.94230I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 0.045133 + 1.004750I
u = −1.00000
a = 1.17955 − 0.94230I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 0.045133 − 1.004750I
35
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
4
(u
41
− 8u
40
+ ··· − 555u + 37)(u
161
− 9u
160
+ ··· − 7368u + 1008)
c
2
((u
2
− u + 1)
2
)(u
41
+ u
40
+ ··· + 3u − 1)
· (u
161
− 2u
160
+ ··· + 1477u − 211)
c
3
9(3u
4
− 2u
2
+ u + 1)(u
41
− 9u
39
+ ··· + 9u
2
+ 1)
· (3u
161
+ 3u
160
+ ··· − 1617931u − 688369)
c
4
9(3u
4
− 2u
2
+ u + 1)(u
41
+ 15u
39
+ ··· − u + 1)
· (3u
161
− 3u
160
+ ··· − 360u − 67)
c
5
((u
2
− u + 1)
2
)(u
41
+ 2u
40
+ ··· − 15u − 1)
· (u
161
− 3u
160
+ ··· + 72893u + 10561)
c
6
((u
2
+ u + 1)
2
)(u
41
− u
40
+ ··· + 3u + 1)
· (u
161
− 2u
160
+ ··· + 1477u − 211)
c
7
((u + 1)
4
)(u
41
− 7u
40
+ ··· − 11u + 1)(u
161
+ 2u
160
+ ··· − 1987u − 511)
c
8
9(3u
4
− 2u
2
− u + 1)(u
41
− 9u
39
+ ··· − 9u
2
− 1)
· (3u
161
+ 3u
160
+ ··· − 1617931u − 688369)
c
9
(u
4
+ u
3
+ u
2
+ 3u + 3)(u
41
+ 14u
39
+ ··· + 2u + 1)
· (u
161
− 6u
160
+ ··· − 971313u − 191967)
c
10
9(3u
4
− 9u
3
+ ··· − 4u + 1)(u
41
+ 10u
39
+ ··· + 7u − 1)
· (3u
161
− 6u
160
+ ··· + 53653u − 3073)
c
11
((u − 1)
4
)(u
41
+ 7u
40
+ ··· − 11u − 1)(u
161
+ 2u
160
+ ··· − 1987u − 511)
c
12
((u
2
+ u + 1)
2
)(u
41
− 2u
40
+ ··· − 15u + 1)
· (u
161
− 3u
160
+ ··· + 72893u + 10561)
36
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
4
(y
41
− 4y
40
+ ··· − 2701y −1369)
· (y
161
− 19y
160
+ ··· − 34239168y −1016064)
c
2
, c
6
((y
2
+ y + 1)
2
)(y
41
− 27y
40
+ ··· + 35y −1)
· (y
161
− 96y
160
+ ··· + 8727171y −44521)
c
3
, c
8
81(9y
4
− 12y
3
+ ··· − 5y + 1)(y
41
− 18y
40
+ ··· − 18y −1)
· (9y
161
− 993y
160
+ ··· + 6362741977025y −473851880161)
c
4
81(9y
4
− 12y
3
+ ··· − 5y + 1)(y
41
+ 30y
40
+ ··· − y −1)
· (9y
161
+ 375y
160
+ ··· − 456918y −4489)
c
5
, c
12
((y
2
+ y + 1)
2
)(y
41
+ 38y
40
+ ··· − 27y −1)
· (y
161
+ 125y
160
+ ··· − 2360486615y −111534721)
c
7
, c
11
((y −1)
4
)(y
41
− 17y
40
+ ··· + 33y −1)
· (y
161
− 72y
160
+ ··· + 12901911y −261121)
c
9
(y
4
+ y
3
+ y
2
− 3y + 9)(y
41
+ 28y
40
+ ··· + 12y −1)
· (y
161
+ 66y
160
+ ··· − 2734308592791y −36851329089)
c
10
81(9y
4
− 21y
3
+ ··· + 4y + 1)(y
41
+ 20y
40
+ ··· + 61y −1)
· (9y
161
+ 240y
160
+ ··· − 7159316237y −9443329)
37
