12a
0903
(K12a
0903
)
A knot diagram
1
Linearized knot diagam
4 6 8 11 2 10 1 3 12 5 7 9
Solving Sequence
3,9
8
1,4
2 7 12 10 6 5 11
c
8
c
3
c
1
c
7
c
12
c
9
c
6
c
5
c
11
c
2
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.28945 × 10
1064
u
172
+ 1.31632 × 10
1064
u
171
+ ··· + 1.81307 × 10
1066
b − 3.19196 × 10
1069
,
3.68475 × 10
1069
u
172
+ 6.81125 × 10
1069
u
171
+ ··· + 1.07575 × 10
1071
a + 1.11222 × 10
1074
,
u
173
+ u
172
+ ··· + 818273u + 59333i
I
u
2
= h3.81902 × 10
35
u
44
− 2.24338 × 10
35
u
43
+ ··· + 3.19337 × 10
33
b − 3.10619 × 10
35
,
− 5.69864 × 10
35
u
44
− 7.52359 × 10
35
u
43
+ ··· + 3.19337 × 10
33
a − 1.57081 × 10
36
,
u
45
+ 18u
43
+ ··· + 17u
2
+ 1i
I
u
3
= hb, u
3
− u
2
+ a + u, u
4
+ u
2
+ u + 1i
* 3 irreducible components of dim
C
= 0, with total 222 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
= h6.29 × 10
1064
u
172
+ 1.32 × 10
1064
u
171
+ · · · + 1.81 × 10
1066
b − 3.19 ×
10
1069
, 3.68 × 10
1069
u
172
+ 6.81 × 10
1069
u
171
+ · · · + 1.08 × 10
1071
a + 1.11 ×
10
1074
, u
173
+ u
172
+ · · · + 818273u + 59333i
(i) Arc colorings
a
3
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
−0.0342528u
172
− 0.0633162u
171
+ ··· − 15662.1u − 1033.90
−0.0346895u
172
− 0.00726018u
171
+ ··· + 20161.3u + 1760.53
a
4
=
u
u
3
+ u
a
2
=
−0.0477650u
172
− 0.0456886u
171
+ ··· + 10111.1u + 992.107
−0.0442190u
172
− 0.00774286u
171
+ ··· + 21255.2u + 1938.91
a
7
=
−0.0690865u
172
− 0.132099u
171
+ ··· − 88077.9u − 6249.36
0.0291113u
172
+ 0.00918828u
171
+ ··· − 5126.00u − 626.952
a
12
=
−0.0689423u
172
− 0.0705764u
171
+ ··· + 4499.15u + 726.629
−0.0346895u
172
− 0.00726018u
171
+ ··· + 20161.3u + 1760.53
a
10
=
−0.0189660u
172
+ 0.0100952u
171
+ ··· + 34750.5u + 2620.23
−0.0388657u
172
− 0.00861547u
171
+ ··· + 4918.24u + 697.500
a
6
=
0.0402518u
172
+ 0.00362436u
171
+ ··· − 27493.3u − 2377.65
0.109608u
172
+ 0.0254614u
171
+ ··· − 91115.0u − 7455.54
a
5
=
0.0427315u
172
− 0.0298589u
171
+ ··· − 92111.9u − 7144.99
0.0766791u
172
− 0.0138396u
171
+ ··· − 86901.4u − 6811.41
a
11
=
0.100360u
172
+ 0.0919849u
171
+ ··· + 27574.0u + 1302.19
0.0174467u
172
− 0.0184323u
171
+ ··· − 59319.7u − 4407.27
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.354297u
172
− 0.576879u
171
+ ··· − 512725.u − 34786.1
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
173
− 5u
172
+ ··· + 34978845458u − 5461860410
c
2
, c
5
u
173
+ 4u
172
+ ··· + 7855501u + 378351
c
3
, c
8
u
173
+ u
172
+ ··· + 818273u + 59333
c
4
, c
10
u
173
− u
172
+ ··· + 4515u + 3617
c
6
u
173
+ 8u
172
+ ··· + 725366244u + 32903701
c
7
u
173
+ 2u
172
+ ··· + 127844u + 7121
c
9
, c
12
u
173
− 8u
172
+ ··· − 1082392u + 116112
c
11
u
173
+ 10u
172
+ ··· + 22516u + 5257
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
173
− 57y
172
+ ··· + 1.76 × 10
21
y −2.98 × 10
19
c
2
, c
5
y
173
− 84y
172
+ ··· + 18389284184671y −143149479201
c
3
, c
8
y
173
+ 111y
172
+ ··· − 76077907077y −3520404889
c
4
, c
10
y
173
+ 97y
172
+ ··· − 638718983y −13082689
c
6
y
173
+ 38y
172
+ ··· + 138215553352212392y −1082653539497401
c
7
y
173
− 4y
172
+ ··· − 4733202902y −50708641
c
9
, c
12
y
173
+ 120y
172
+ ··· − 719338416320y −13481996544
c
11
y
173
+ 4y
172
+ ··· − 148893064y −27636049
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.200695 + 0.983674I
a = 0.099596 − 1.101180I
b = −0.300391 + 0.865055I
−1.14533 + 1.31544I 0
u = −0.200695 − 0.983674I
a = 0.099596 + 1.101180I
b = −0.300391 − 0.865055I
−1.14533 − 1.31544I 0
u = 0.238962 + 0.976771I
a = −0.85300 − 1.75553I
b = 0.166763 − 1.275220I
1.45317 + 9.45174I 0
u = 0.238962 − 0.976771I
a = −0.85300 + 1.75553I
b = 0.166763 + 1.275220I
1.45317 − 9.45174I 0
u = 0.310932 + 0.937146I
a = −0.266639 − 1.322090I
b = 0.76410 + 1.60099I
2.30031 + 1.47617I 0
u = 0.310932 − 0.937146I
a = −0.266639 + 1.322090I
b = 0.76410 − 1.60099I
2.30031 − 1.47617I 0
u = 0.422422 + 0.944303I
a = −1.75931 − 1.00821I
b = 0.251193 − 1.248970I
2.98127 + 3.28924I 0
u = 0.422422 − 0.944303I
a = −1.75931 + 1.00821I
b = 0.251193 + 1.248970I
2.98127 − 3.28924I 0
u = 1.001610 + 0.259760I
a = −0.234073 − 0.456409I
b = −0.772152 − 0.286782I
−2.54970 + 2.40971I 0
u = 1.001610 − 0.259760I
a = −0.234073 + 0.456409I
b = −0.772152 + 0.286782I
−2.54970 − 2.40971I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.644326 + 0.717506I
a = −0.196592 − 0.236738I
b = 0.48186 + 1.36306I
4.48340 − 5.92423I 0
u = 0.644326 − 0.717506I
a = −0.196592 + 0.236738I
b = 0.48186 − 1.36306I
4.48340 + 5.92423I 0
u = −0.960899 + 0.053428I
a = −0.573354 − 0.300532I
b = 0.133195 − 0.911360I
−1.48764 + 1.19567I 0
u = −0.960899 − 0.053428I
a = −0.573354 + 0.300532I
b = 0.133195 + 0.911360I
−1.48764 − 1.19567I 0
u = −0.422732 + 0.858394I
a = 2.59637 − 0.57540I
b = −0.070848 − 1.196950I
3.46056 − 6.65815I 0
u = −0.422732 − 0.858394I
a = 2.59637 + 0.57540I
b = −0.070848 + 1.196950I
3.46056 + 6.65815I 0
u = 0.538570 + 0.895585I
a = −2.20809 + 0.16514I
b = 0.68648 − 1.23900I
3.93045 + 10.55550I 0
u = 0.538570 − 0.895585I
a = −2.20809 − 0.16514I
b = 0.68648 + 1.23900I
3.93045 − 10.55550I 0
u = 0.123622 + 0.946070I
a = −0.413155 + 0.378308I
b = −0.10101 − 1.69525I
−0.063851 − 0.587563I 0
u = 0.123622 − 0.946070I
a = −0.413155 − 0.378308I
b = −0.10101 + 1.69525I
−0.063851 + 0.587563I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.260715 + 1.013100I
a = 0.112130 + 1.016630I
b = 0.42334 − 1.92998I
1.40101 − 6.53069I 0
u = −0.260715 − 1.013100I
a = 0.112130 − 1.016630I
b = 0.42334 + 1.92998I
1.40101 + 6.53069I 0
u = −0.484556 + 0.937692I
a = 1.25963 − 1.03608I
b = −0.829834 + 0.213422I
−2.59855 − 2.68466I 0
u = −0.484556 − 0.937692I
a = 1.25963 + 1.03608I
b = −0.829834 − 0.213422I
−2.59855 + 2.68466I 0
u = −0.241499 + 1.030300I
a = 2.18143 + 1.49276I
b = −0.040701 − 1.056610I
4.74593 + 0.10675I 0
u = −0.241499 − 1.030300I
a = 2.18143 − 1.49276I
b = −0.040701 + 1.056610I
4.74593 − 0.10675I 0
u = −0.940511 + 0.041481I
a = −0.054074 − 0.608164I
b = 0.851988 − 0.060783I
−0.22897 − 9.03529I 0
u = −0.940511 − 0.041481I
a = −0.054074 + 0.608164I
b = 0.851988 + 0.060783I
−0.22897 + 9.03529I 0
u = −0.320339 + 1.010070I
a = 1.94948 + 0.50565I
b = −0.69852 − 1.53386I
−0.27735 − 7.08476I 0
u = −0.320339 − 1.010070I
a = 1.94948 − 0.50565I
b = −0.69852 + 1.53386I
−0.27735 + 7.08476I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.168961 + 0.922551I
a = 1.75791 − 1.25810I
b = −0.54516 + 1.34894I
−0.12681 + 1.91606I 0
u = 0.168961 − 0.922551I
a = 1.75791 + 1.25810I
b = −0.54516 − 1.34894I
−0.12681 − 1.91606I 0
u = −0.179170 + 0.916415I
a = 0.527452 − 1.173700I
b = −0.173887 − 1.340160I
−0.26861 − 4.57877I 0
u = −0.179170 − 0.916415I
a = 0.527452 + 1.173700I
b = −0.173887 + 1.340160I
−0.26861 + 4.57877I 0
u = 1.065240 + 0.105937I
a = −0.264381 + 0.425510I
b = 0.332949 + 1.307200I
6.92967 − 7.56473I 0
u = 1.065240 − 0.105937I
a = −0.264381 − 0.425510I
b = 0.332949 − 1.307200I
6.92967 + 7.56473I 0
u = −0.334971 + 1.021610I
a = −1.71258 − 0.81682I
b = 0.63493 + 1.27867I
5.54370 − 6.15762I 0
u = −0.334971 − 1.021610I
a = −1.71258 + 0.81682I
b = 0.63493 − 1.27867I
5.54370 + 6.15762I 0
u = −0.613604 + 0.689976I
a = 1.212130 − 0.573384I
b = −0.343083 − 1.275000I
2.48008 − 5.65404I 0
u = −0.613604 − 0.689976I
a = 1.212130 + 0.573384I
b = −0.343083 + 1.275000I
2.48008 + 5.65404I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.855720 + 0.326054I
a = 0.026482 + 0.562497I
b = −0.345573 + 1.304350I
3.32095 + 3.55947I 0
u = −0.855720 − 0.326054I
a = 0.026482 − 0.562497I
b = −0.345573 − 1.304350I
3.32095 − 3.55947I 0
u = 0.498419 + 0.974019I
a = −1.148720 − 0.460274I
b = 1.052800 + 0.012207I
0.074828 − 0.437307I 0
u = 0.498419 − 0.974019I
a = −1.148720 + 0.460274I
b = 1.052800 − 0.012207I
0.074828 + 0.437307I 0
u = −0.853207 + 0.703439I
a = 0.441272 − 1.151180I
b = −0.003260 − 0.896503I
−2.17995 − 0.03180I 0
u = −0.853207 − 0.703439I
a = 0.441272 + 1.151180I
b = −0.003260 + 0.896503I
−2.17995 + 0.03180I 0
u = 0.435294 + 1.025140I
a = −1.80123 + 0.22678I
b = 0.134550 − 1.053260I
1.51146 + 2.82649I 0
u = 0.435294 − 1.025140I
a = −1.80123 − 0.22678I
b = 0.134550 + 1.053260I
1.51146 − 2.82649I 0
u = 0.670930 + 0.899795I
a = −1.45134 − 0.83472I
b = 0.028957 − 0.888822I
−0.97851 + 4.44415I 0
u = 0.670930 − 0.899795I
a = −1.45134 + 0.83472I
b = 0.028957 + 0.888822I
−0.97851 − 4.44415I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.207523 + 0.844878I
a = −0.736815 − 0.346037I
b = 0.218523 + 0.270180I
−0.614594 + 1.120450I 0
u = 0.207523 − 0.844878I
a = −0.736815 + 0.346037I
b = 0.218523 − 0.270180I
−0.614594 − 1.120450I 0
u = −0.085049 + 0.861726I
a = −0.27790 + 2.38839I
b = 0.012082 + 1.306460I
5.73234 − 1.49184I 0
u = −0.085049 − 0.861726I
a = −0.27790 − 2.38839I
b = 0.012082 − 1.306460I
5.73234 + 1.49184I 0
u = 0.356815 + 1.077960I
a = 1.37784 + 0.60863I
b = −0.754663 − 0.739240I
−3.80490 + 5.05102I 0
u = 0.356815 − 1.077960I
a = 1.37784 − 0.60863I
b = −0.754663 + 0.739240I
−3.80490 − 5.05102I 0
u = −0.246800 + 0.818439I
a = −2.16972 − 1.12059I
b = −0.122048 + 0.942351I
−0.15321 + 2.55823I 0
u = −0.246800 − 0.818439I
a = −2.16972 + 1.12059I
b = −0.122048 − 0.942351I
−0.15321 − 2.55823I 0
u = −0.530803 + 0.669522I
a = −0.343924 + 1.198740I
b = −0.097619 + 1.346350I
3.94899 + 2.73718I 0
u = −0.530803 − 0.669522I
a = −0.343924 − 1.198740I
b = −0.097619 − 1.346350I
3.94899 − 2.73718I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.409556 + 1.087370I
a = −0.939268 − 0.715361I
b = 0.599246 + 0.029607I
−0.901550 + 0.201664I 0
u = 0.409556 − 1.087370I
a = −0.939268 + 0.715361I
b = 0.599246 − 0.029607I
−0.901550 − 0.201664I 0
u = −0.660910 + 0.498160I
a = 0.076156 + 0.293628I
b = −0.405297 + 1.312040I
2.58653 + 3.21002I 0
u = −0.660910 − 0.498160I
a = 0.076156 − 0.293628I
b = −0.405297 − 1.312040I
2.58653 − 3.21002I 0
u = −0.824688 + 0.041380I
a = 0.350309 − 0.198605I
b = 0.238297 − 1.284210I
8.72034 + 2.85639I 0
u = −0.824688 − 0.041380I
a = 0.350309 + 0.198605I
b = 0.238297 + 1.284210I
8.72034 − 2.85639I 0
u = −0.338746 + 1.124780I
a = 1.46946 − 0.46557I
b = −1.025100 − 0.095171I
−4.00976 − 3.22158I 0
u = −0.338746 − 1.124780I
a = 1.46946 + 0.46557I
b = −1.025100 + 0.095171I
−4.00976 + 3.22158I 0
u = 0.209148 + 0.788172I
a = 3.54030 − 1.24576I
b = 0.100915 + 0.957619I
2.13521 − 7.36293I 0
u = 0.209148 − 0.788172I
a = 3.54030 + 1.24576I
b = 0.100915 − 0.957619I
2.13521 + 7.36293I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.127461 + 0.793359I
a = −2.62023 + 0.52773I
b = 1.31779 − 0.97993I
3.15145 + 0.80560I 0
u = 0.127461 − 0.793359I
a = −2.62023 − 0.52773I
b = 1.31779 + 0.97993I
3.15145 − 0.80560I 0
u = −0.557566 + 1.061750I
a = 2.01247 − 0.01070I
b = −0.54909 − 1.30517I
0.87998 − 7.95213I 0
u = −0.557566 − 1.061750I
a = 2.01247 + 0.01070I
b = −0.54909 + 1.30517I
0.87998 + 7.95213I 0
u = −0.227290 + 1.187560I
a = −1.238130 + 0.223788I
b = 1.266090 − 0.276373I
0.61509 − 1.69849I 0
u = −0.227290 − 1.187560I
a = −1.238130 − 0.223788I
b = 1.266090 + 0.276373I
0.61509 + 1.69849I 0
u = 1.104280 + 0.500833I
a = 0.063186 + 0.284522I
b = 0.349743 + 1.261070I
6.43258 + 1.18806I 0
u = 1.104280 − 0.500833I
a = 0.063186 − 0.284522I
b = 0.349743 − 1.261070I
6.43258 − 1.18806I 0
u = 0.087792 + 1.221130I
a = 1.48908 + 0.01988I
b = −0.917086 − 0.312089I
−6.85187 − 1.31367I 0
u = 0.087792 − 1.221130I
a = 1.48908 − 0.01988I
b = −0.917086 + 0.312089I
−6.85187 + 1.31367I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.071941 + 0.758354I
a = −0.517613 + 0.422829I
b = 0.32648 − 1.58765I
7.12191 + 4.10850I 0
u = −0.071941 − 0.758354I
a = −0.517613 − 0.422829I
b = 0.32648 + 1.58765I
7.12191 − 4.10850I 0
u = 0.745995 + 0.050959I
a = 0.562755 − 0.324699I
b = −0.253876 + 0.973620I
0.43657 + 5.36144I 0
u = 0.745995 − 0.050959I
a = 0.562755 + 0.324699I
b = −0.253876 − 0.973620I
0.43657 − 5.36144I 0
u = −0.474991 + 0.573714I
a = 0.754700 − 0.492005I
b = −0.866988 + 0.010804I
−1.58424 − 1.32895I 0
u = −0.474991 − 0.573714I
a = 0.754700 + 0.492005I
b = −0.866988 − 0.010804I
−1.58424 + 1.32895I 0
u = 0.305676 + 0.674389I
a = 1.90054 + 1.10104I
b = 0.091763 + 0.934171I
3.96341 + 0.13008I 0
u = 0.305676 − 0.674389I
a = 1.90054 − 1.10104I
b = 0.091763 − 0.934171I
3.96341 − 0.13008I 0
u = −1.229450 + 0.274632I
a = −0.132934 − 0.351115I
b = 0.483565 − 1.276640I
3.5038 + 13.9482I 0
u = −1.229450 − 0.274632I
a = −0.132934 + 0.351115I
b = 0.483565 + 1.276640I
3.5038 − 13.9482I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738935 + 0.004935I
a = −0.237717 − 0.346243I
b = 0.732019 + 0.194067I
2.30380 − 3.73845I 0
u = 0.738935 − 0.004935I
a = −0.237717 + 0.346243I
b = 0.732019 − 0.194067I
2.30380 + 3.73845I 0
u = −0.404016 + 1.196830I
a = −1.022220 + 0.660966I
b = 0.522328 − 0.666856I
−6.15538 − 2.82090I 0
u = −0.404016 − 1.196830I
a = −1.022220 − 0.660966I
b = 0.522328 + 0.666856I
−6.15538 + 2.82090I 0
u = 1.240100 + 0.283101I
a = 0.017428 − 0.400823I
b = −0.512978 − 1.232960I
0.47355 − 7.35038I 0
u = 1.240100 − 0.283101I
a = 0.017428 + 0.400823I
b = −0.512978 + 1.232960I
0.47355 + 7.35038I 0
u = −0.469930 + 1.184400I
a = 1.43331 − 0.38913I
b = −1.38628 − 0.78182I
−4.41328 − 4.25579I 0
u = −0.469930 − 1.184400I
a = 1.43331 + 0.38913I
b = −1.38628 + 0.78182I
−4.41328 + 4.25579I 0
u = 0.768558 + 1.025240I
a = 0.740627 + 0.847959I
b = −0.211472 + 1.084880I
−1.24097 + 1.24830I 0
u = 0.768558 − 1.025240I
a = 0.740627 − 0.847959I
b = −0.211472 − 1.084880I
−1.24097 − 1.24830I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.421731 + 1.210240I
a = −1.38555 − 0.37015I
b = 1.034760 − 0.096329I
−1.25793 + 7.96082I 0
u = 0.421731 − 1.210240I
a = −1.38555 + 0.37015I
b = 1.034760 + 0.096329I
−1.25793 − 7.96082I 0
u = 0.566667 + 0.426889I
a = −0.143626 + 0.891339I
b = −0.043334 + 1.193820I
3.26579 + 1.23038I 0
u = 0.566667 − 0.426889I
a = −0.143626 − 0.891339I
b = −0.043334 − 1.193820I
3.26579 − 1.23038I 0
u = −0.093799 + 1.288260I
a = −0.196977 + 0.498006I
b = 0.102480 + 0.362124I
0.79234 − 1.20515I 0
u = −0.093799 − 1.288260I
a = −0.196977 − 0.498006I
b = 0.102480 − 0.362124I
0.79234 + 1.20515I 0
u = −0.235970 + 1.277440I
a = −1.228590 + 0.093576I
b = 0.718964 − 0.342749I
−7.54215 − 3.33495I 0
u = −0.235970 − 1.277440I
a = −1.228590 − 0.093576I
b = 0.718964 + 0.342749I
−7.54215 + 3.33495I 0
u = 0.452791 + 1.219170I
a = 1.76997 − 0.54548I
b = −0.449426 + 0.923660I
−3.18337 + 9.72897I 0
u = 0.452791 − 1.219170I
a = 1.76997 + 0.54548I
b = −0.449426 − 0.923660I
−3.18337 − 9.72897I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.155310 + 0.681341I
a = −2.71157 − 1.48800I
b = 0.83711 + 1.28982I
2.60834 + 4.36467I 0
u = −0.155310 − 0.681341I
a = −2.71157 + 1.48800I
b = 0.83711 − 1.28982I
2.60834 − 4.36467I 0
u = 0.622580 + 0.268911I
a = −0.031280 − 1.279900I
b = 0.670895 + 0.364613I
1.86821 + 4.69853I 0
u = 0.622580 − 0.268911I
a = −0.031280 + 1.279900I
b = 0.670895 − 0.364613I
1.86821 − 4.69853I 0
u = −0.539470 + 1.208070I
a = 1.67994 + 0.09619I
b = −0.51534 − 1.36848I
0.50906 − 8.74544I 0
u = −0.539470 − 1.208070I
a = 1.67994 − 0.09619I
b = −0.51534 + 1.36848I
0.50906 + 8.74544I 0
u = −0.508783 + 1.244480I
a = −1.73514 − 0.12564I
b = 0.346063 + 1.001060I
−5.10435 − 6.34939I 0
u = −0.508783 − 1.244480I
a = −1.73514 + 0.12564I
b = 0.346063 − 1.001060I
−5.10435 + 6.34939I 0
u = −0.150835 + 0.636696I
a = −1.42656 − 0.80774I
b = −0.17056 + 1.47314I
1.19705 + 4.57627I 0
u = −0.150835 − 0.636696I
a = −1.42656 + 0.80774I
b = −0.17056 − 1.47314I
1.19705 − 4.57627I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.676169 + 1.164640I
a = −1.51599 − 0.07557I
b = 0.51482 − 1.33239I
4.21518 + 5.09215I 0
u = 0.676169 − 1.164640I
a = −1.51599 + 0.07557I
b = 0.51482 + 1.33239I
4.21518 − 5.09215I 0
u = −0.642741 + 0.105210I
a = −0.683194 − 0.305909I
b = −0.608616 + 0.192143I
−1.321030 − 0.064493I 0
u = −0.642741 − 0.105210I
a = −0.683194 + 0.305909I
b = −0.608616 − 0.192143I
−1.321030 + 0.064493I 0
u = 0.529523 + 1.242600I
a = −0.025929 + 0.658243I
b = −0.176103 − 0.644974I
−2.77113 − 0.56813I 0
u = 0.529523 − 1.242600I
a = −0.025929 − 0.658243I
b = −0.176103 + 0.644974I
−2.77113 + 0.56813I 0
u = −0.486828 + 1.279600I
a = −1.243130 + 0.448606I
b = 1.290310 − 0.010475I
−4.2131 − 14.0503I 0
u = −0.486828 − 1.279600I
a = −1.243130 − 0.448606I
b = 1.290310 + 0.010475I
−4.2131 + 14.0503I 0
u = 0.409076 + 1.312490I
a = 1.234840 + 0.399237I
b = −1.42303 − 0.01913I
−7.35314 + 7.04313I 0
u = 0.409076 − 1.312490I
a = 1.234840 − 0.399237I
b = −1.42303 + 0.01913I
−7.35314 − 7.04313I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.306342 + 1.342840I
a = 1.31931 − 0.59248I
b = −0.481739 + 1.134850I
−4.27706 + 3.68192I 0
u = 0.306342 − 1.342840I
a = 1.31931 + 0.59248I
b = −0.481739 − 1.134850I
−4.27706 − 3.68192I 0
u = −0.414163 + 1.315930I
a = −0.520616 + 0.166712I
b = 0.296976 − 0.411062I
−6.01706 − 3.73980I 0
u = −0.414163 − 1.315930I
a = −0.520616 − 0.166712I
b = 0.296976 + 0.411062I
−6.01706 + 3.73980I 0
u = 0.40367 + 1.35756I
a = 0.356320 − 0.311474I
b = −0.134546 − 0.181562I
−2.95619 + 8.33098I 0
u = 0.40367 − 1.35756I
a = 0.356320 + 0.311474I
b = −0.134546 + 0.181562I
−2.95619 − 8.33098I 0
u = 0.09312 + 1.41611I
a = 0.664038 + 0.253307I
b = −0.767317 − 0.746931I
−6.64780 − 2.46565I 0
u = 0.09312 − 1.41611I
a = 0.664038 − 0.253307I
b = −0.767317 + 0.746931I
−6.64780 + 2.46565I 0
u = 0.57734 + 1.29880I
a = −1.57448 + 0.13744I
b = 0.49684 − 1.36344I
3.25669 + 13.38450I 0
u = 0.57734 − 1.29880I
a = −1.57448 − 0.13744I
b = 0.49684 + 1.36344I
3.25669 − 13.38450I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.71841 + 1.23226I
a = −1.104550 + 0.357117I
b = 0.260548 + 1.087990I
−4.01079 − 6.25159I 0
u = −0.71841 − 1.23226I
a = −1.104550 − 0.357117I
b = 0.260548 − 1.087990I
−4.01079 + 6.25159I 0
u = 0.338197 + 0.436937I
a = 1.78655 − 0.87316I
b = −0.656670 + 0.282557I
−1.84234 − 1.99545I 0
u = 0.338197 − 0.436937I
a = 1.78655 + 0.87316I
b = −0.656670 − 0.282557I
−1.84234 + 1.99545I 0
u = −0.60451 + 1.32699I
a = −1.254220 − 0.054545I
b = 0.67460 + 1.35632I
4.12011 − 8.54585I 0
u = −0.60451 − 1.32699I
a = −1.254220 + 0.054545I
b = 0.67460 − 1.35632I
4.12011 + 8.54585I 0
u = −0.49457 + 1.38585I
a = −0.889022 + 0.323729I
b = 0.761462 + 0.684158I
−4.24582 + 3.57433I 0
u = −0.49457 − 1.38585I
a = −0.889022 − 0.323729I
b = 0.761462 − 0.684158I
−4.24582 − 3.57433I 0
u = 0.65270 + 1.31995I
a = 1.43202 + 0.05432I
b = −0.62746 + 1.42216I
−2.9143 + 13.9641I 0
u = 0.65270 − 1.31995I
a = 1.43202 − 0.05432I
b = −0.62746 − 1.42216I
−2.9143 − 13.9641I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.507676 + 0.141344I
a = −2.05228 − 0.37222I
b = 0.356699 + 0.298984I
−2.86841 − 0.82807I 0. + 8.79471I
u = −0.507676 − 0.141344I
a = −2.05228 + 0.37222I
b = 0.356699 − 0.298984I
−2.86841 + 0.82807I 0. − 8.79471I
u = −0.66683 + 1.31444I
a = −1.50920 + 0.02825I
b = 0.60120 + 1.40467I
0.1709 − 20.5807I 0
u = −0.66683 − 1.31444I
a = −1.50920 − 0.02825I
b = 0.60120 − 1.40467I
0.1709 + 20.5807I 0
u = −1.44089 + 0.34583I
a = 0.144320 − 0.276778I
b = 0.442281 − 0.996689I
7.88970 + 1.76253I 0
u = −1.44089 − 0.34583I
a = 0.144320 + 0.276778I
b = 0.442281 + 0.996689I
7.88970 − 1.76253I 0
u = −0.46028 + 1.41728I
a = −1.256740 − 0.338955I
b = 0.395751 + 1.124070I
−5.11618 − 7.48246I 0
u = −0.46028 − 1.41728I
a = −1.256740 + 0.338955I
b = 0.395751 − 1.124070I
−5.11618 + 7.48246I 0
u = −0.500402
a = −0.136223
b = −0.605024
−0.994718 −9.62290
u = 0.55581 + 1.40235I
a = 1.005280 + 0.197330I
b = −0.903456 + 1.004650I
−6.18479 + 3.83257I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.55581 − 1.40235I
a = 1.005280 − 0.197330I
b = −0.903456 − 1.004650I
−6.18479 − 3.83257I 0
u = −0.03898 + 1.59444I
a = −0.454801 + 0.242071I
b = 0.504232 − 0.821944I
−3.72758 + 8.46324I 0
u = −0.03898 − 1.59444I
a = −0.454801 − 0.242071I
b = 0.504232 + 0.821944I
−3.72758 − 8.46324I 0
u = 0.84577 + 1.38737I
a = 0.834223 + 0.079314I
b = −0.256121 + 1.141020I
−0.13172 + 10.50580I 0
u = 0.84577 − 1.38737I
a = 0.834223 − 0.079314I
b = −0.256121 − 1.141020I
−0.13172 − 10.50580I 0
u = 1.42804 + 0.89885I
a = 0.277593 + 0.091444I
b = −0.082743 + 1.055710I
2.38474 − 0.72465I 0
u = 1.42804 − 0.89885I
a = 0.277593 − 0.091444I
b = −0.082743 − 1.055710I
2.38474 + 0.72465I 0
u = −0.145703 + 0.108995I
a = 4.43512 − 2.00976I
b = 0.456618 + 0.451128I
3.77260 − 0.21833I −0.90363 + 2.02273I
u = −0.145703 − 0.108995I
a = 4.43512 + 2.00976I
b = 0.456618 − 0.451128I
3.77260 + 0.21833I −0.90363 − 2.02273I
u = −1.36879 + 1.54721I
a = −0.144850 − 0.068651I
b = −0.068323 + 1.045680I
1.215440 − 0.488757I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36879 − 1.54721I
a = −0.144850 + 0.068651I
b = −0.068323 − 1.045680I
1.215440 + 0.488757I 0
u = 0.91488 + 2.58528I
a = −0.154193 + 0.119329I
b = 0.029677 − 1.000980I
1.79971 − 0.49368I 0
u = 0.91488 − 2.58528I
a = −0.154193 − 0.119329I
b = 0.029677 + 1.000980I
1.79971 + 0.49368I 0
22
II. I
u
2
= h3.82 × 10
35
u
44
− 2.24 × 10
35
u
43
+ · · · + 3.19 × 10
33
b − 3.11 ×
10
35
, −5.70 × 10
35
u
44
− 7.52 × 10
35
u
43
+ · · · + 3.19 × 10
33
a − 1.57 ×
10
36
, u
45
+ 18u
43
+ · · · + 17u
2
+ 1i
(i) Arc colorings
a
3
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
178.452u
44
+ 235.600u
43
+ ··· + 224.715u + 491.898
−119.592u
44
+ 70.2511u
43
+ ··· − 297.619u + 97.2698
a
4
=
u
u
3
+ u
a
2
=
87.8966u
44
+ 214.629u
43
+ ··· + 41.6191u + 436.646
−167.160u
44
+ 58.9590u
43
+ ··· − 390.159u + 62.9891
a
7
=
−378.801u
44
− 193.864u
43
+ ··· − 418.016u − 239.904
−94.4082u
44
+ 12.8675u
43
+ ··· − 126.115u + 36.6309
a
12
=
58.8598u
44
+ 305.851u
43
+ ··· − 72.9041u + 589.168
−119.592u
44
+ 70.2511u
43
+ ··· − 297.619u + 97.2698
a
10
=
10.7299u
44
− 104.791u
43
+ ··· + 24.6221u − 299.847
111.146u
44
+ 32.8745u
43
+ ··· + 226.531u + 101.034
a
6
=
−103.776u
44
+ 93.5402u
43
+ ··· − 293.170u + 177.786
−255.143u
44
+ 14.3061u
43
+ ··· − 605.994u − 60.4676
a
5
=
−510.740u
44
+ 36.5039u
43
+ ··· − 859.830u − 22.3988
−172.219u
44
− 20.0526u
43
+ ··· − 377.660u − 96.0545
a
11
=
149.656u
44
− 444.054u
43
+ ··· + 333.745u − 872.884
−38.7622u
44
− 168.898u
43
+ ··· + 29.6870u − 319.402
(ii) Obstruction class = 1
(iii) Cusp Shapes = −464.099u
44
− 372.350u
43
+ ··· + 93.1415u − 584.709
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
45
− 9u
44
+ ··· + 212u − 23
c
2
u
45
+ 7u
44
+ ··· − 7u − 1
c
3
u
45
+ 18u
43
+ ··· − 17u
2
− 1
c
4
u
45
+ 15u
43
+ ··· − 10u
2
− 1
c
5
u
45
− 7u
44
+ ··· − 7u + 1
c
6
u
45
+ u
44
+ ··· + 19u − 7
c
7
u
45
+ 5u
44
+ ··· + 4u
2
− 7
c
8
u
45
+ 18u
43
+ ··· + 17u
2
+ 1
c
9
u
45
− 3u
44
+ ··· + 1907u − 257
c
10
u
45
+ 15u
43
+ ··· + 10u
2
+ 1
c
11
u
45
− 15u
44
+ ··· − 12u + 1
c
12
u
45
+ 3u
44
+ ··· + 1907u + 257
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
45
− 13y
44
+ ··· − 49310y −529
c
2
, c
5
y
45
− 13y
44
+ ··· + 41y −1
c
3
, c
8
y
45
+ 36y
44
+ ··· − 34y −1
c
4
, c
10
y
45
+ 30y
44
+ ··· − 20y −1
c
6
y
45
+ 7y
44
+ ··· − 1081y −49
c
7
y
45
+ 19y
44
+ ··· + 56y −49
c
9
, c
12
y
45
+ 39y
44
+ ··· − 413157y −66049
c
11
y
45
− 9y
44
+ ··· − 2y −1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.311947 + 1.005490I
a = −0.901531 + 0.410668I
b = 0.11117 − 1.65625I
0.72353 + 6.83072I 0
u = 0.311947 − 1.005490I
a = −0.901531 − 0.410668I
b = 0.11117 + 1.65625I
0.72353 − 6.83072I 0
u = −0.224559 + 1.028720I
a = 0.925330 − 0.289558I
b = −0.834180 + 0.533341I
1.74862 − 0.66737I 0
u = −0.224559 − 1.028720I
a = 0.925330 + 0.289558I
b = −0.834180 − 0.533341I
1.74862 + 0.66737I 0
u = 0.382831 + 0.838903I
a = −1.61107 − 1.35168I
b = 0.590407 + 0.391439I
−2.48215 + 3.85489I −11.86897 − 5.48024I
u = 0.382831 − 0.838903I
a = −1.61107 + 1.35168I
b = 0.590407 − 0.391439I
−2.48215 − 3.85489I −11.86897 + 5.48024I
u = −0.148473 + 0.867814I
a = 2.44688 + 0.55554I
b = −0.883783 − 0.846143I
2.71828 − 0.92347I −11.51658 + 3.63819I
u = −0.148473 − 0.867814I
a = 2.44688 − 0.55554I
b = −0.883783 + 0.846143I
2.71828 + 0.92347I −11.51658 − 3.63819I
u = 0.527046 + 1.039650I
a = −2.11232 − 0.01431I
b = 0.51228 − 1.33613I
1.09167 + 8.38621I 0
u = 0.527046 − 1.039650I
a = −2.11232 + 0.01431I
b = 0.51228 + 1.33613I
1.09167 − 8.38621I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.597880 + 0.578287I
a = 0.204471 + 0.380212I
b = 0.38686 + 1.37043I
2.53310 − 3.92810I −5.57688 + 6.97404I
u = 0.597880 − 0.578287I
a = 0.204471 − 0.380212I
b = 0.38686 − 1.37043I
2.53310 + 3.92810I −5.57688 − 6.97404I
u = −0.365895 + 1.187550I
a = −1.133760 + 0.520185I
b = 0.458109 − 0.616629I
−6.09607 − 3.24527I 0
u = −0.365895 − 1.187550I
a = −1.133760 − 0.520185I
b = 0.458109 + 0.616629I
−6.09607 + 3.24527I 0
u = 0.075537 + 0.742971I
a = 2.43336 − 1.42764I
b = −0.51589 + 1.46968I
2.35293 − 4.72878I −7.32352 + 10.73388I
u = 0.075537 − 0.742971I
a = 2.43336 + 1.42764I
b = −0.51589 − 1.46968I
2.35293 + 4.72878I −7.32352 − 10.73388I
u = 0.012323 + 0.725477I
a = 1.11428 + 2.96007I
b = −0.045032 + 1.267830I
6.09467 + 1.19408I 5.53377 + 2.24144I
u = 0.012323 − 0.725477I
a = 1.11428 − 2.96007I
b = −0.045032 − 1.267830I
6.09467 − 1.19408I 5.53377 − 2.24144I
u = 0.508449 + 1.179060I
a = −1.333690 − 0.460508I
b = 1.31485 − 0.76491I
−4.45142 + 4.06524I 0
u = 0.508449 − 1.179060I
a = −1.333690 + 0.460508I
b = 1.31485 + 0.76491I
−4.45142 − 4.06524I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.517444 + 1.175710I
a = 1.48713 + 0.19969I
b = −0.67166 − 1.31826I
4.42284 − 7.28143I 0
u = −0.517444 − 1.175710I
a = 1.48713 − 0.19969I
b = −0.67166 + 1.31826I
4.42284 + 7.28143I 0
u = 0.402942 + 0.573753I
a = −0.190259 − 0.843176I
b = 0.780945 + 0.177630I
−2.34795 + 0.38519I −15.5976 + 0.7071I
u = 0.402942 − 0.573753I
a = −0.190259 + 0.843176I
b = 0.780945 − 0.177630I
−2.34795 − 0.38519I −15.5976 − 0.7071I
u = −0.133588 + 0.644566I
a = 3.21375 − 2.23896I
b = −0.282676 − 1.134760I
2.41396 − 8.42156I −5.49306 + 9.88582I
u = −0.133588 − 0.644566I
a = 3.21375 + 2.23896I
b = −0.282676 + 1.134760I
2.41396 + 8.42156I −5.49306 − 9.88582I
u = −1.349700 + 0.292584I
a = −0.221393 + 0.269343I
b = −0.398071 + 1.021000I
8.05735 + 1.60538I 0
u = −1.349700 − 0.292584I
a = −0.221393 − 0.269343I
b = −0.398071 − 1.021000I
8.05735 − 1.60538I 0
u = −0.484219 + 1.294460I
a = −1.62041 − 0.30155I
b = 0.321288 + 1.070220I
−4.58785 − 6.46596I 0
u = −0.484219 − 1.294460I
a = −1.62041 + 0.30155I
b = 0.321288 − 1.070220I
−4.58785 + 6.46596I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.613159
a = −1.14070
b = 0.395940
−3.04383 −13.7690
u = −0.344109 + 0.493889I
a = −1.33055 − 0.75763I
b = 0.067469 + 1.407320I
1.17564 − 1.47139I −6.48411 + 3.94277I
u = −0.344109 − 0.493889I
a = −1.33055 + 0.75763I
b = 0.067469 − 1.407320I
1.17564 + 1.47139I −6.48411 − 3.94277I
u = −0.127196 + 0.583593I
a = 0.520823 − 0.910794I
b = −0.33562 + 1.53080I
7.46926 + 4.12451I 6.07487 − 3.10116I
u = −0.127196 − 0.583593I
a = 0.520823 + 0.910794I
b = −0.33562 − 1.53080I
7.46926 − 4.12451I 6.07487 + 3.10116I
u = −0.51090 + 1.36135I
a = −1.006210 + 0.152292I
b = 0.774114 + 0.599024I
−6.55348 − 5.31075I 0
u = −0.51090 − 1.36135I
a = −1.006210 − 0.152292I
b = 0.774114 − 0.599024I
−6.55348 + 5.31075I 0
u = 0.45763 + 1.38922I
a = 0.957977 − 0.614190I
b = −0.256485 + 0.889747I
−2.00496 + 9.21402I 0
u = 0.45763 − 1.38922I
a = 0.957977 + 0.614190I
b = −0.256485 − 0.889747I
−2.00496 − 9.21402I 0
u = 0.253820 + 0.443798I
a = −0.96382 − 2.69812I
b = 0.261629 − 1.218920I
0.73359 + 3.98093I −7.23789 − 3.23916I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.253820 − 0.443798I
a = −0.96382 + 2.69812I
b = 0.261629 + 1.218920I
0.73359 − 3.98093I −7.23789 + 3.23916I
u = −0.20551 + 1.57096I
a = −0.062707 − 0.141295I
b = −0.089804 + 0.886493I
1.41951 − 0.76619I 0
u = −0.20551 − 1.57096I
a = −0.062707 + 0.141295I
b = −0.089804 − 0.886493I
1.41951 + 0.76619I 0
u = 1.18778 + 2.10321I
a = −0.245919 + 0.046111I
b = 0.036113 − 1.007070I
1.89527 − 0.51966I 0
u = 1.18778 − 2.10321I
a = −0.245919 − 0.046111I
b = 0.036113 + 1.007070I
1.89527 + 0.51966I 0
32
III. I
u
3
= hb, u
3
− u
2
+ a + u, u
4
+ u
2
+ u + 1i
(i) Arc colorings
a
3
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
−u
3
+ u
2
− u
0
a
4
=
u
u
3
+ u
a
2
=
−u
3
− u − 1
−u
2
+ u
a
7
=
u
3
− u
2
+ u + 1
u
2
a
12
=
−u
3
+ u
2
− u
0
a
10
=
1
0
a
6
=
u
3
+ u + 1
u
2
a
5
=
0
u
a
11
=
1
u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
3
− u
2
− u − 17
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
4
− u
3
− 2u
2
+ u + 2
c
2
, c
7
(u − 1)
4
c
3
, c
4
u
4
+ u
2
− u + 1
c
5
, c
11
(u + 1)
4
c
6
u
4
− 2u
3
+ 3u
2
− u + 1
c
8
, c
10
u
4
+ u
2
+ u + 1
c
9
, c
12
u
4
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
4
− 5y
3
+ 10y
2
− 9y + 4
c
2
, c
5
, c
7
c
11
(y −1)
4
c
3
, c
4
, c
8
c
10
y
4
+ 2y
3
+ 3y
2
+ y + 1
c
6
y
4
+ 2y
3
+ 7y
2
+ 5y + 1
c
9
, c
12
y
4
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.547424 + 0.585652I
a = 0.10488 − 1.55249I
b = 0
−3.28987 −16.8085 − 0.2701I
u = −0.547424 − 0.585652I
a = 0.10488 + 1.55249I
b = 0
−3.28987 −16.8085 + 0.2701I
u = 0.547424 + 1.120870I
a = 0.395123 + 0.506844I
b = 0
−3.28987 −14.6915 − 1.9475I
u = 0.547424 − 1.120870I
a = 0.395123 − 0.506844I
b = 0
−3.28987 −14.6915 + 1.9475I
36
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
4
− u
3
− 2u
2
+ u + 2)(u
45
− 9u
44
+ ··· + 212u − 23)
· (u
173
− 5u
172
+ ··· + 34978845458u − 5461860410)
c
2
((u − 1)
4
)(u
45
+ 7u
44
+ ··· − 7u − 1)
· (u
173
+ 4u
172
+ ··· + 7855501u + 378351)
c
3
(u
4
+ u
2
− u + 1)(u
45
+ 18u
43
+ ··· − 17u
2
− 1)
· (u
173
+ u
172
+ ··· + 818273u + 59333)
c
4
(u
4
+ u
2
− u + 1)(u
45
+ 15u
43
+ ··· − 10u
2
− 1)
· (u
173
− u
172
+ ··· + 4515u + 3617)
c
5
((u + 1)
4
)(u
45
− 7u
44
+ ··· − 7u + 1)
· (u
173
+ 4u
172
+ ··· + 7855501u + 378351)
c
6
(u
4
− 2u
3
+ 3u
2
− u + 1)(u
45
+ u
44
+ ··· + 19u − 7)
· (u
173
+ 8u
172
+ ··· + 725366244u + 32903701)
c
7
((u − 1)
4
)(u
45
+ 5u
44
+ ··· + 4u
2
− 7)
· (u
173
+ 2u
172
+ ··· + 127844u + 7121)
c
8
(u
4
+ u
2
+ u + 1)(u
45
+ 18u
43
+ ··· + 17u
2
+ 1)
· (u
173
+ u
172
+ ··· + 818273u + 59333)
c
9
u
4
(u
45
− 3u
44
+ ··· + 1907u − 257)
· (u
173
− 8u
172
+ ··· − 1082392u + 116112)
c
10
(u
4
+ u
2
+ u + 1)(u
45
+ 15u
43
+ ··· + 10u
2
+ 1)
· (u
173
− u
172
+ ··· + 4515u + 3617)
c
11
((u + 1)
4
)(u
45
− 15u
44
+ ··· − 12u + 1)
· (u
173
+ 10u
172
+ ··· + 22516u + 5257)
c
12
u
4
(u
45
+ 3u
44
+ ··· + 1907u + 257)
· (u
173
− 8u
172
+ ··· − 1082392u + 116112)
37
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
4
− 5y
3
+ 10y
2
− 9y + 4)(y
45
− 13y
44
+ ··· − 49310y −529)
· (y
173
− 57y
172
+ ··· + 1.76 × 10
21
y −2.98 × 10
19
)
c
2
, c
5
((y −1)
4
)(y
45
− 13y
44
+ ··· + 41y −1)
· (y
173
− 84y
172
+ ··· + 18389284184671y −143149479201)
c
3
, c
8
(y
4
+ 2y
3
+ 3y
2
+ y + 1)(y
45
+ 36y
44
+ ··· − 34y −1)
· (y
173
+ 111y
172
+ ··· − 76077907077y −3520404889)
c
4
, c
10
(y
4
+ 2y
3
+ 3y
2
+ y + 1)(y
45
+ 30y
44
+ ··· − 20y −1)
· (y
173
+ 97y
172
+ ··· − 638718983y −13082689)
c
6
(y
4
+ 2y
3
+ 7y
2
+ 5y + 1)(y
45
+ 7y
44
+ ··· − 1081y −49)
· (y
173
+ 38y
172
+ ··· + 138215553352212392y −1082653539497401)
c
7
((y −1)
4
)(y
45
+ 19y
44
+ ··· + 56y −49)
· (y
173
− 4y
172
+ ··· − 4733202902y −50708641)
c
9
, c
12
y
4
(y
45
+ 39y
44
+ ··· − 413157y −66049)
· (y
173
+ 120y
172
+ ··· − 719338416320y −13481996544)
c
11
((y −1)
4
)(y
45
− 9y
44
+ ··· − 2y −1)
· (y
173
+ 4y
172
+ ··· − 148893064y −27636049)
38
