12a
0475
(K12a
0475
)
A knot diagram
1
Linearized knot diagam
3 6 11 9 2 10 5 12 7 1 8 4
Solving Sequence
8,12 4,9
5 1 7 11 3 2 10 6
c
8
c
4
c
12
c
7
c
11
c
3
c
1
c
10
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.11285 × 10
886
u
164
− 3.44078 × 10
886
u
163
+ ··· + 2.18377 × 10
886
b − 6.10321 × 10
889
,
2.17789 × 10
889
u
164
− 6.46304 × 10
889
u
163
+ ··· + 5.77716 × 10
889
a − 9.99945 × 10
892
,
u
165
− 4u
164
+ ··· − 92466u + 5291i
I
u
2
= h1.21748 × 10
26
u
32
− 5.54627 × 10
26
u
31
+ ··· + 2.64218 × 10
26
b + 3.56406 × 10
26
,
1.91198 × 10
27
u
32
− 8.59389 × 10
27
u
31
+ ··· + 7.92654 × 10
26
a − 1.02616 × 10
28
, u
33
− 4u
32
+ ··· + u − 3i
I
u
3
= hb − a + 1, a
2
− 2a + 3, u + 1i
I
u
4
= h2b − 3a − 2, a
2
+ 2, u + 1i
I
u
5
= hb, a + 1, u − 1i
* 5 irreducible components of dim
C
= 0, with total 203 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h1.11 × 10
886
u
164
− 3.44 × 10
886
u
163
+ · · · + 2.18 × 10
886
b − 6.10 ×
10
889
, 2.18 × 10
889
u
164
− 6.46 × 10
889
u
163
+ · · · + 5.78 × 10
889
a − 1.00 ×
10
893
, u
165
− 4u
164
+ · · · − 92466u + 5291i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
4
=
−0.376983u
164
+ 1.11872u
163
+ ··· − 28825.3u + 1730.86
−0.509600u
164
+ 1.57562u
163
+ ··· − 46058.6u + 2794.81
a
9
=
1
u
2
a
5
=
−0.245282u
164
+ 0.714234u
163
+ ··· − 16760.6u + 995.355
−0.396999u
164
+ 1.22308u
163
+ ··· − 35445.4u + 2147.63
a
1
=
−0.437933u
164
+ 1.40631u
163
+ ··· − 42794.0u + 2610.44
−0.302392u
164
+ 0.991408u
163
+ ··· − 31579.1u + 1932.62
a
7
=
0.196129u
164
− 0.649218u
163
+ ··· + 22352.2u − 1359.29
0.145758u
164
− 0.521515u
163
+ ··· + 20402.8u − 1262.91
a
11
=
u
u
a
3
=
−0.349509u
164
+ 0.998201u
163
+ ··· − 22723.8u + 1341.57
−0.482126u
164
+ 1.45509u
163
+ ··· − 39957.1u + 2405.52
a
2
=
−0.0587150u
164
+ 0.149057u
163
+ ··· − 794.726u + 25.6789
−0.0254560u
164
+ 0.118769u
163
+ ··· − 5333.39u + 339.046
a
10
=
0.0812809u
164
− 0.202180u
163
+ ··· + 1666.04u − 68.9146
0.180251u
164
− 0.493538u
163
+ ··· + 10195.9u − 586.870
a
6
=
−0.0206187u
164
+ 0.0815913u
163
+ ··· − 4604.61u + 297.410
−0.159919u
164
+ 0.467206u
163
+ ··· − 12375.5u + 739.339
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.660587u
164
− 1.95887u
163
+ ··· + 50154.9u − 3011.11
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
165
+ 73u
164
+ ··· + 5492581u + 346921
c
2
, c
5
u
165
+ 5u
164
+ ··· − 2107u + 589
c
3
2(2u
165
− 6u
164
+ ··· − 6475u + 1861)
c
4
2(2u
165
+ 4u
164
+ ··· − 1.28570 × 10
8
u − 1.40072 × 10
8
)
c
6
, c
9
u
165
+ 11u
164
+ ··· + 593536u + 54052
c
7
u
165
− 11u
164
+ ··· − 13275136u + 1499648
c
8
, c
11
u
165
+ 4u
164
+ ··· − 92466u − 5291
c
10
u
165
+ 18u
164
+ ··· − 1283584u − 111872
c
12
u
165
+ 16u
164
+ ··· + 1428492u + 35066
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
165
+ 47y
164
+ ··· + 929433493849y −120354180241
c
2
, c
5
y
165
− 73y
164
+ ··· + 5492581y −346921
c
3
4(4y
165
− 120y
164
+ ··· + 2.97286 × 10
7
y −3463321)
c
4
4(4y
165
− 228y
164
+ ··· + 1.18967 × 10
18
y −1.96202 × 10
16
)
c
6
, c
9
y
165
+ 125y
164
+ ··· + 44245013584y −2921618704
c
7
y
165
− 25y
164
+ ··· + 95755580735488y −2248944123904
c
8
, c
11
y
165
− 98y
164
+ ··· + 2317734584y −27994681
c
10
y
165
+ 16y
164
+ ··· − 906086514688y −12515344384
c
12
y
165
+ 50y
164
+ ··· + 436180962572y −1229624356
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.905625 + 0.395022I
a = −1.356160 − 0.178801I
b = −0.500288 + 0.541412I
1.76132 + 6.82155I 0
u = −0.905625 − 0.395022I
a = −1.356160 + 0.178801I
b = −0.500288 − 0.541412I
1.76132 − 6.82155I 0
u = 0.979945 + 0.253064I
a = 2.14093 − 0.15484I
b = 1.245890 + 0.373436I
−2.68322 − 10.66630I 0
u = 0.979945 − 0.253064I
a = 2.14093 + 0.15484I
b = 1.245890 − 0.373436I
−2.68322 + 10.66630I 0
u = −1.010130 + 0.104708I
a = 0.66284 − 1.49523I
b = −0.67789 − 2.01547I
−7.16497 + 2.22800I 0
u = −1.010130 − 0.104708I
a = 0.66284 + 1.49523I
b = −0.67789 + 2.01547I
−7.16497 − 2.22800I 0
u = −0.911483 + 0.450030I
a = 0.43769 − 1.68406I
b = 0.43601 − 1.82372I
−4.66672 − 1.50795I 0
u = −0.911483 − 0.450030I
a = 0.43769 + 1.68406I
b = 0.43601 + 1.82372I
−4.66672 + 1.50795I 0
u = 0.949136 + 0.247064I
a = −1.98722 + 0.29565I
b = −0.987252 − 0.036458I
−0.24597 − 4.87496I 0
u = 0.949136 − 0.247064I
a = −1.98722 − 0.29565I
b = −0.987252 + 0.036458I
−0.24597 + 4.87496I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.956326 + 0.354024I
a = 0.472835 + 0.991788I
b = 0.96915 + 2.16384I
0.39699 + 5.70050I 0
u = −0.956326 − 0.354024I
a = 0.472835 − 0.991788I
b = 0.96915 − 2.16384I
0.39699 − 5.70050I 0
u = 0.997397 + 0.222897I
a = 0.045810 − 0.837141I
b = 1.30671 − 2.18702I
0.02937 − 6.00270I 0
u = 0.997397 − 0.222897I
a = 0.045810 + 0.837141I
b = 1.30671 + 2.18702I
0.02937 + 6.00270I 0
u = 1.029100 + 0.039524I
a = −0.152827 − 0.504647I
b = 1.17849 − 2.45752I
−3.31303 + 0.23435I 0
u = 1.029100 − 0.039524I
a = −0.152827 + 0.504647I
b = 1.17849 + 2.45752I
−3.31303 − 0.23435I 0
u = 0.056114 + 0.961060I
a = 0.004362 + 0.793680I
b = 0.522822 − 0.084660I
0.53874 − 4.38609I 0
u = 0.056114 − 0.961060I
a = 0.004362 − 0.793680I
b = 0.522822 + 0.084660I
0.53874 + 4.38609I 0
u = 0.265842 + 0.916273I
a = 0.090527 + 0.910352I
b = 0.219918 − 0.118177I
0.1210590 − 0.0627933I 0
u = 0.265842 − 0.916273I
a = 0.090527 − 0.910352I
b = 0.219918 + 0.118177I
0.1210590 + 0.0627933I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.928790 + 0.214195I
a = −0.166509 + 0.819530I
b = −1.24767 + 2.01704I
1.59672 − 0.72836I 0
u = 0.928790 − 0.214195I
a = −0.166509 − 0.819530I
b = −1.24767 − 2.01704I
1.59672 + 0.72836I 0
u = 0.208224 + 0.928754I
a = −0.939974 − 0.108861I
b = 0.032619 − 0.688229I
−1.44989 − 2.06089I 0
u = 0.208224 − 0.928754I
a = −0.939974 + 0.108861I
b = 0.032619 + 0.688229I
−1.44989 + 2.06089I 0
u = 0.099343 + 0.945992I
a = 1.211790 − 0.585575I
b = 0.159309 + 0.050813I
−7.38673 + 5.98012I 0
u = 0.099343 − 0.945992I
a = 1.211790 + 0.585575I
b = 0.159309 − 0.050813I
−7.38673 − 5.98012I 0
u = −1.004120 + 0.343761I
a = −0.415362 − 0.862654I
b = −1.09118 − 2.32631I
−2.25182 + 11.57660I 0
u = −1.004120 − 0.343761I
a = −0.415362 + 0.862654I
b = −1.09118 + 2.32631I
−2.25182 − 11.57660I 0
u = −0.543395 + 0.919447I
a = −0.227727 + 0.555914I
b = −0.439377 − 0.320989I
0.479910 + 0.205738I 0
u = −0.543395 − 0.919447I
a = −0.227727 − 0.555914I
b = −0.439377 + 0.320989I
0.479910 − 0.205738I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.921973 + 0.064761I
a = −0.58718 + 1.64883I
b = 0.75741 + 1.83648I
−6.76898 − 1.45593I 0
u = −0.921973 − 0.064761I
a = −0.58718 − 1.64883I
b = 0.75741 − 1.83648I
−6.76898 + 1.45593I 0
u = 0.058757 + 1.081710I
a = −0.661431 − 0.299147I
b = 0.126078 − 0.124589I
−0.89907 − 2.39252I 0
u = 0.058757 − 1.081710I
a = −0.661431 + 0.299147I
b = 0.126078 + 0.124589I
−0.89907 + 2.39252I 0
u = 0.879166 + 0.214573I
a = 2.19850 − 1.13943I
b = 1.69238 − 1.06824I
−6.36992 − 1.10734I 0
u = 0.879166 − 0.214573I
a = 2.19850 + 1.13943I
b = 1.69238 + 1.06824I
−6.36992 + 1.10734I 0
u = 1.057980 + 0.337150I
a = 0.94946 − 1.39230I
b = 0.50194 − 2.07114I
−6.46535 − 0.46060I 0
u = 1.057980 − 0.337150I
a = 0.94946 + 1.39230I
b = 0.50194 + 2.07114I
−6.46535 + 0.46060I 0
u = 0.458763 + 1.011900I
a = 0.901403 + 0.412848I
b = −0.384411 + 0.936939I
−3.08963 − 6.66268I 0
u = 0.458763 − 1.011900I
a = 0.901403 − 0.412848I
b = −0.384411 − 0.936939I
−3.08963 + 6.66268I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.830270 + 0.293600I
a = −1.142810 − 0.693487I
b = −0.47384 − 1.88262I
−5.83699 + 1.41896I 0
u = −0.830270 − 0.293600I
a = −1.142810 + 0.693487I
b = −0.47384 + 1.88262I
−5.83699 − 1.41896I 0
u = −1.092040 + 0.250124I
a = −0.53036 − 1.35874I
b = −0.65812 − 2.06798I
−4.49963 + 0.97465I 0
u = −1.092040 − 0.250124I
a = −0.53036 + 1.35874I
b = −0.65812 + 2.06798I
−4.49963 − 0.97465I 0
u = 1.112570 + 0.146778I
a = 0.086327 + 0.326728I
b = −0.72273 + 1.56197I
−3.30358 + 0.53754I 0
u = 1.112570 − 0.146778I
a = 0.086327 − 0.326728I
b = −0.72273 − 1.56197I
−3.30358 − 0.53754I 0
u = −0.790955 + 0.377288I
a = 1.51363 + 0.25917I
b = 0.477732 − 0.416986I
3.18590 + 1.28226I 0
u = −0.790955 − 0.377288I
a = 1.51363 − 0.25917I
b = 0.477732 + 0.416986I
3.18590 − 1.28226I 0
u = 0.751764 + 0.835486I
a = 0.106249 − 0.125011I
b = 0.452743 − 0.287726I
−0.70273 − 1.40924I 0
u = 0.751764 − 0.835486I
a = 0.106249 + 0.125011I
b = 0.452743 + 0.287726I
−0.70273 + 1.40924I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.228998 + 1.105140I
a = −1.029760 + 0.398436I
b = −0.127356 − 0.341013I
−0.69256 + 8.20346I 0
u = 0.228998 − 1.105140I
a = −1.029760 − 0.398436I
b = −0.127356 + 0.341013I
−0.69256 − 8.20346I 0
u = −0.867320
a = −1.90161
b = −1.09360
−2.84073 0
u = 0.406558 + 0.763432I
a = −0.057417 − 1.060420I
b = −0.1342720 − 0.0332840I
0.00310 − 4.02060I 0
u = 0.406558 − 0.763432I
a = −0.057417 + 1.060420I
b = −0.1342720 + 0.0332840I
0.00310 + 4.02060I 0
u = −0.975283 + 0.581760I
a = −1.09940 + 1.14684I
b = −0.99216 + 1.59918I
−5.06065 + 5.72523I 0
u = −0.975283 − 0.581760I
a = −1.09940 − 1.14684I
b = −0.99216 − 1.59918I
−5.06065 − 5.72523I 0
u = −1.135730 + 0.035452I
a = 0.609597 − 1.261730I
b = −0.29117 − 2.00297I
−6.86660 − 2.87605I 0
u = −1.135730 − 0.035452I
a = 0.609597 + 1.261730I
b = −0.29117 + 2.00297I
−6.86660 + 2.87605I 0
u = −0.024095 + 0.861263I
a = 0.069793 − 0.747455I
b = −0.602458 − 0.116725I
0.940791 − 0.237333I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.024095 − 0.861263I
a = 0.069793 + 0.747455I
b = −0.602458 + 0.116725I
0.940791 + 0.237333I 0
u = −0.298727 + 1.120920I
a = 0.850074 + 0.284549I
b = −0.098946 − 0.430575I
3.31062 − 2.35546I 0
u = −0.298727 − 1.120920I
a = 0.850074 − 0.284549I
b = −0.098946 + 0.430575I
3.31062 + 2.35546I 0
u = −0.804266 + 0.838329I
a = 0.014358 − 0.556604I
b = 0.483803 + 0.156529I
−0.26591 + 6.01439I 0
u = −0.804266 − 0.838329I
a = 0.014358 + 0.556604I
b = 0.483803 − 0.156529I
−0.26591 − 6.01439I 0
u = −1.160280 + 0.071947I
a = −0.382685 − 1.121420I
b = 0.30068 − 1.66006I
−5.77557 − 1.21497I 0
u = −1.160280 − 0.071947I
a = −0.382685 + 1.121420I
b = 0.30068 + 1.66006I
−5.77557 + 1.21497I 0
u = 0.993491 + 0.613036I
a = −0.053013 + 0.207665I
b = −0.676586 + 0.767305I
−1.88344 − 5.23161I 0
u = 0.993491 − 0.613036I
a = −0.053013 − 0.207665I
b = −0.676586 − 0.767305I
−1.88344 + 5.23161I 0
u = 0.806218 + 0.186328I
a = −1.48357 − 0.17893I
b = 0.316977 − 0.132627I
2.03513 − 1.28246I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.806218 − 0.186328I
a = −1.48357 + 0.17893I
b = 0.316977 + 0.132627I
2.03513 + 1.28246I 0
u = 0.181258 + 1.161330I
a = 0.966257 − 0.450421I
b = 0.026849 + 0.353142I
−2.5882 + 14.0878I 0
u = 0.181258 − 1.161330I
a = 0.966257 + 0.450421I
b = 0.026849 − 0.353142I
−2.5882 − 14.0878I 0
u = −0.700839 + 0.404790I
a = 0.054640 + 1.215590I
b = 0.83768 + 1.41021I
3.40890 + 2.17216I 0
u = −0.700839 − 0.404790I
a = 0.054640 − 1.215590I
b = 0.83768 − 1.41021I
3.40890 − 2.17216I 0
u = 1.179340 + 0.215040I
a = 0.46961 − 1.83928I
b = 0.95078 − 2.41449I
−9.46194 − 1.63399I 0
u = 1.179340 − 0.215040I
a = 0.46961 + 1.83928I
b = 0.95078 + 2.41449I
−9.46194 + 1.63399I 0
u = 0.378157 + 0.688670I
a = −1.64772 + 0.16779I
b = −0.746451 − 0.075755I
−1.10643 + 3.08168I 0
u = 0.378157 − 0.688670I
a = −1.64772 − 0.16779I
b = −0.746451 + 0.075755I
−1.10643 − 3.08168I 0
u = 1.093150 + 0.546626I
a = −0.12095 + 1.69603I
b = −0.23509 + 2.34390I
−3.19196 − 7.84564I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.093150 − 0.546626I
a = −0.12095 − 1.69603I
b = −0.23509 − 2.34390I
−3.19196 + 7.84564I 0
u = −1.128490 + 0.473924I
a = 0.262969 + 1.304190I
b = 0.61424 + 2.02554I
−1.21383 + 5.54894I 0
u = −1.128490 − 0.473924I
a = 0.262969 − 1.304190I
b = 0.61424 − 2.02554I
−1.21383 − 5.54894I 0
u = −1.187050 + 0.303700I
a = 0.166697 + 0.629003I
b = −1.19563 + 1.36882I
−9.82340 + 2.80556I 0
u = −1.187050 − 0.303700I
a = 0.166697 − 0.629003I
b = −1.19563 − 1.36882I
−9.82340 − 2.80556I 0
u = 1.206120 + 0.279453I
a = 0.129864 − 0.613403I
b = −0.48678 − 1.33134I
−2.67844 − 1.25468I 0
u = 1.206120 − 0.279453I
a = 0.129864 + 0.613403I
b = −0.48678 + 1.33134I
−2.67844 + 1.25468I 0
u = −0.235723 + 1.225790I
a = −0.788767 − 0.267827I
b = 0.275627 + 0.396488I
2.18155 − 7.39945I 0
u = −0.235723 − 1.225790I
a = −0.788767 + 0.267827I
b = 0.275627 − 0.396488I
2.18155 + 7.39945I 0
u = 0.693656 + 0.262829I
a = −0.90550 + 1.22346I
b = −1.41372 + 1.35496I
0.48947 + 2.43883I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.693656 − 0.262829I
a = −0.90550 − 1.22346I
b = −1.41372 − 1.35496I
0.48947 − 2.43883I 0
u = −0.544656 + 0.493674I
a = 0.097345 − 1.142150I
b = −0.851814 − 1.055840I
2.71700 − 3.14847I 0
u = −0.544656 − 0.493674I
a = 0.097345 + 1.142150I
b = −0.851814 + 1.055840I
2.71700 + 3.14847I 0
u = 0.524400 + 0.509061I
a = 0.0780599 − 0.0652838I
b = −0.037059 − 0.599061I
−0.34407 − 1.50763I 0
u = 0.524400 − 0.509061I
a = 0.0780599 + 0.0652838I
b = −0.037059 + 0.599061I
−0.34407 + 1.50763I 0
u = −0.568060 + 0.445141I
a = 1.78884 + 0.51032I
b = 0.154856 + 0.268846I
1.52963 − 2.30175I 0
u = −0.568060 − 0.445141I
a = 1.78884 − 0.51032I
b = 0.154856 − 0.268846I
1.52963 + 2.30175I 0
u = 0.700651 + 0.160361I
a = 1.54258 + 0.48246I
b = −0.524967 + 0.276742I
1.02945 + 4.00940I 0
u = 0.700651 − 0.160361I
a = 1.54258 − 0.48246I
b = −0.524967 − 0.276742I
1.02945 − 4.00940I 0
u = 0.636411 + 0.301996I
a = 0.78301 − 1.66688I
b = 1.51335 − 1.31208I
−1.70707 + 8.11526I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.636411 − 0.301996I
a = 0.78301 + 1.66688I
b = 1.51335 + 1.31208I
−1.70707 − 8.11526I 0
u = −0.240820 + 0.645491I
a = 1.183670 + 0.756445I
b = 0.317700 − 0.173341I
1.34841 − 1.24787I 0
u = −0.240820 − 0.645491I
a = 1.183670 − 0.756445I
b = 0.317700 + 0.173341I
1.34841 + 1.24787I 0
u = 1.132990 + 0.663936I
a = 0.052868 − 0.824855I
b = 0.168209 − 1.017740I
−0.483633 − 1.323650I 0
u = 1.132990 − 0.663936I
a = 0.052868 + 0.824855I
b = 0.168209 + 1.017740I
−0.483633 + 1.323650I 0
u = −1.270030 + 0.401139I
a = −0.200188 − 0.700116I
b = 0.52677 − 1.46926I
−5.91221 + 6.44950I 0
u = −1.270030 − 0.401139I
a = −0.200188 + 0.700116I
b = 0.52677 + 1.46926I
−5.91221 − 6.44950I 0
u = 0.456706 + 1.252420I
a = −0.272067 + 0.021591I
b = −0.320455 − 0.282464I
1.92515 − 0.33419I 0
u = 0.456706 − 1.252420I
a = −0.272067 − 0.021591I
b = −0.320455 + 0.282464I
1.92515 + 0.33419I 0
u = −0.481239 + 0.443674I
a = −1.91723 − 0.63238I
b = 0.207789 − 0.246850I
−0.74504 − 8.24884I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.481239 − 0.443674I
a = −1.91723 + 0.63238I
b = 0.207789 + 0.246850I
−0.74504 + 8.24884I 0
u = 0.597895 + 1.211770I
a = 0.247324 − 0.057864I
b = 0.426965 + 0.245472I
1.42930 − 5.31281I 0
u = 0.597895 − 1.211770I
a = 0.247324 + 0.057864I
b = 0.426965 − 0.245472I
1.42930 + 5.31281I 0
u = 1.262320 + 0.537583I
a = 0.225099 − 1.289860I
b = 0.49930 − 2.31043I
−10.9205 − 11.3051I 0
u = 1.262320 − 0.537583I
a = 0.225099 + 1.289860I
b = 0.49930 + 2.31043I
−10.9205 + 11.3051I 0
u = 1.334510 + 0.345102I
a = −0.325108 + 1.156520I
b = −0.84351 + 1.82687I
−5.32783 − 4.17784I 0
u = 1.334510 − 0.345102I
a = −0.325108 − 1.156520I
b = −0.84351 − 1.82687I
−5.32783 + 4.17784I 0
u = −1.338460 + 0.347423I
a = 0.136708 + 0.724965I
b = −0.61757 + 1.93275I
−8.60928 + 10.86600I 0
u = −1.338460 − 0.347423I
a = 0.136708 − 0.724965I
b = −0.61757 − 1.93275I
−8.60928 − 10.86600I 0
u = −1.333190 + 0.416625I
a = −0.229017 + 0.749046I
b = −0.63725 + 1.41211I
−11.86490 − 1.14533I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.333190 − 0.416625I
a = −0.229017 − 0.749046I
b = −0.63725 − 1.41211I
−11.86490 + 1.14533I 0
u = −1.339290 + 0.409077I
a = −0.446188 − 1.009600I
b = −0.77439 − 1.83612I
−5.08147 + 8.17449I 0
u = −1.339290 − 0.409077I
a = −0.446188 + 1.009600I
b = −0.77439 + 1.83612I
−5.08147 − 8.17449I 0
u = 1.379320 + 0.244135I
a = 0.605847 − 1.133560I
b = 1.12506 − 1.81315I
−7.25376 − 8.97708I 0
u = 1.379320 − 0.244135I
a = 0.605847 + 1.133560I
b = 1.12506 + 1.81315I
−7.25376 + 8.97708I 0
u = 1.134530 + 0.828720I
a = 0.498053 + 0.830201I
b = −0.54111 + 1.86228I
−5.37571 − 1.93557I 0
u = 1.134530 − 0.828720I
a = 0.498053 − 0.830201I
b = −0.54111 − 1.86228I
−5.37571 + 1.93557I 0
u = 1.400010 + 0.144057I
a = −0.021464 + 0.519835I
b = 0.66538 + 1.67640I
−4.56498 + 2.42568I 0
u = 1.400010 − 0.144057I
a = −0.021464 − 0.519835I
b = 0.66538 − 1.67640I
−4.56498 − 2.42568I 0
u = −1.27506 + 0.61630I
a = 0.077120 + 1.078610I
b = 0.63547 + 2.09079I
0.13415 + 8.50566I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.27506 − 0.61630I
a = 0.077120 − 1.078610I
b = 0.63547 − 2.09079I
0.13415 − 8.50566I 0
u = −1.33545 + 0.49474I
a = −0.225704 − 0.940104I
b = −0.39277 − 1.92800I
−5.24644 + 7.82970I 0
u = −1.33545 − 0.49474I
a = −0.225704 + 0.940104I
b = −0.39277 + 1.92800I
−5.24644 − 7.82970I 0
u = 1.23878 + 0.70712I
a = −0.002016 + 0.772581I
b = −0.231001 + 1.123390I
−0.71231 − 6.59785I 0
u = 1.23878 − 0.70712I
a = −0.002016 − 0.772581I
b = −0.231001 − 1.123390I
−0.71231 + 6.59785I 0
u = 1.29198 + 0.61664I
a = −0.142721 + 1.223130I
b = −0.63621 + 2.19212I
−4.0482 − 14.3233I 0
u = 1.29198 − 0.61664I
a = −0.142721 − 1.223130I
b = −0.63621 − 2.19212I
−4.0482 + 14.3233I 0
u = 1.33560 + 0.52171I
a = 0.023588 + 0.909211I
b = −0.40425 + 1.75079I
−5.03338 − 3.62537I 0
u = 1.33560 − 0.52171I
a = 0.023588 − 0.909211I
b = −0.40425 − 1.75079I
−5.03338 + 3.62537I 0
u = −1.42498 + 0.24937I
a = −0.009391 − 0.653150I
b = 0.536101 − 1.279930I
−6.59876 − 3.33600I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42498 − 0.24937I
a = −0.009391 + 0.653150I
b = 0.536101 + 1.279930I
−6.59876 + 3.33600I 0
u = 1.32524 + 0.61562I
a = 0.160684 − 1.194010I
b = 0.70657 − 2.23812I
−6.2109 − 20.3514I 0
u = 1.32524 − 0.61562I
a = 0.160684 + 1.194010I
b = 0.70657 + 2.23812I
−6.2109 + 20.3514I 0
u = −1.35644 + 0.55246I
a = −0.461141 − 0.719339I
b = −0.631924 − 0.916252I
−3.37369 + 5.53723I 0
u = −1.35644 − 0.55246I
a = −0.461141 + 0.719339I
b = −0.631924 + 0.916252I
−3.37369 − 5.53723I 0
u = −1.32336 + 0.62930I
a = −0.058732 − 1.029390I
b = −0.62725 − 2.16900I
−1.35406 + 13.86310I 0
u = −1.32336 − 0.62930I
a = −0.058732 + 1.029390I
b = −0.62725 + 2.16900I
−1.35406 − 13.86310I 0
u = −1.40974 + 0.46544I
a = 0.503773 + 0.879897I
b = 0.95714 + 1.49361I
−5.03934 + 5.09956I 0
u = −1.40974 − 0.46544I
a = 0.503773 − 0.879897I
b = 0.95714 − 1.49361I
−5.03934 − 5.09956I 0
u = 1.43389 + 0.43302I
a = 0.044166 + 0.666122I
b = 0.14385 + 1.80177I
−5.49120 − 3.48774I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43389 − 0.43302I
a = 0.044166 − 0.666122I
b = 0.14385 − 1.80177I
−5.49120 + 3.48774I 0
u = −1.39933 + 0.54469I
a = 0.513245 + 0.765771I
b = 0.908658 + 1.020910I
−4.06854 + 9.91345I 0
u = −1.39933 − 0.54469I
a = 0.513245 − 0.765771I
b = 0.908658 − 1.020910I
−4.06854 − 9.91345I 0
u = −1.50697 + 0.29718I
a = −0.053090 + 0.558886I
b = −0.624099 + 1.235250I
−8.48499 − 8.60363I 0
u = −1.50697 − 0.29718I
a = −0.053090 − 0.558886I
b = −0.624099 − 1.235250I
−8.48499 + 8.60363I 0
u = 1.31621 + 0.83959I
a = −0.374237 − 0.753399I
b = 0.54149 − 2.04112I
−5.96749 − 5.61476I 0
u = 1.31621 − 0.83959I
a = −0.374237 + 0.753399I
b = 0.54149 + 2.04112I
−5.96749 + 5.61476I 0
u = 1.45421 + 0.66078I
a = −0.212720 − 0.729793I
b = 0.26029 − 2.08819I
−6.08327 − 0.39862I 0
u = 1.45421 − 0.66078I
a = −0.212720 + 0.729793I
b = 0.26029 + 2.08819I
−6.08327 + 0.39862I 0
u = 0.048848 + 0.338546I
a = 2.96021 − 0.83569I
b = 0.647852 − 0.516409I
−3.83566 − 2.38410I −7.99211 + 1.13563I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.048848 − 0.338546I
a = 2.96021 + 0.83569I
b = 0.647852 + 0.516409I
−3.83566 + 2.38410I −7.99211 − 1.13563I
u = 0.047552 + 0.299628I
a = 3.22360 − 1.59170I
b = 0.634220 + 0.910865I
−6.31817 − 0.20964I −6.24749 − 0.03407I
u = 0.047552 − 0.299628I
a = 3.22360 + 1.59170I
b = 0.634220 − 0.910865I
−6.31817 + 0.20964I −6.24749 + 0.03407I
u = 0.145659 + 0.039974I
a = 1.39406 − 4.08523I
b = −0.537045 + 0.152952I
−1.45636 + 0.53602I −7.55207 − 1.66695I
u = 0.145659 − 0.039974I
a = 1.39406 + 4.08523I
b = −0.537045 − 0.152952I
−1.45636 − 0.53602I −7.55207 + 1.66695I
21
II.
I
u
2
= h1.22 × 10
26
u
32
− 5.55 × 10
26
u
31
+ · · · + 2.64 × 10
26
b + 3.56 × 10
26
, 1.91 ×
10
27
u
32
−8.59×10
27
u
31
+· · ·+7.93×10
26
a−1.03×10
28
, u
33
−4u
32
+· · ·+u−3i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
4
=
−2.41213u
32
+ 10.8419u
31
+ ··· − 15.6099u + 12.9459
−0.460785u
32
+ 2.09913u
31
+ ··· − 3.06645u − 1.34891
a
9
=
1
u
2
a
5
=
−2.96002u
32
+ 13.0321u
31
+ ··· − 20.9732u + 17.8750
−0.859758u
32
+ 3.54202u
31
+ ··· − 4.70879u − 1.35295
a
1
=
0.0948124u
32
− 0.269872u
31
+ ··· + 11.3494u − 0.591207
−0.163875u
32
+ 0.692395u
31
+ ··· + 10.9687u − 4.49871
a
7
=
1.45008u
32
− 5.80247u
31
+ ··· + 21.8634u − 3.85369
0.338457u
32
− 1.28192u
31
+ ··· + 13.3050u − 3.58065
a
11
=
u
u
a
3
=
−3.53497u
32
+ 15.3449u
31
+ ··· − 22.4013u + 15.7581
−1.58363u
32
+ 6.60215u
31
+ ··· − 9.85790u + 1.46335
a
2
=
−0.258759u
32
+ 1.25388u
31
+ ··· − 15.9577u + 9.66690
0.324108u
32
− 1.68500u
31
+ ··· + 3.43407u − 2.12726
a
10
=
−0.186204u
32
+ 0.863659u
31
+ ··· + 3.26805u − 3.13144
−0.504231u
32
+ 2.31629u
31
+ ··· − 10.3336u + 4.71325
a
6
=
−0.128862u
32
+ 0.912845u
31
+ ··· − 18.2018u + 12.4124
0.658876u
32
− 3.03628u
31
+ ··· + 4.30602u − 2.58234
(ii) Obstruction class = 1
(iii) Cusp Shapes =
38872874370703539084286568
264218019166409153515396703
u
32
−
859656896962605495783297375
264218019166409153515396703
u
31
+
··· −
5717214818683061704822913990
264218019166409153515396703
u +
2367461876678989709026258686
264218019166409153515396703
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
33
− 15u
32
+ ··· + 100u − 9
c
2
u
33
+ 5u
32
+ ··· − 10u − 3
c
3
u
33
+ 4u
32
+ ··· − 5u
3
+ 1
c
4
u
33
+ 3u
32
+ ··· + 3u + 1
c
5
u
33
− 5u
32
+ ··· − 10u + 3
c
6
u
33
+ 2u
32
+ ··· + 15u + 1
c
7
u
33
+ 3u
32
+ ··· + 3u + 1
c
8
u
33
− 4u
32
+ ··· + u − 3
c
9
u
33
− 2u
32
+ ··· + 15u − 1
c
10
u
33
+ u
32
+ ··· + 6u − 1
c
11
u
33
+ 4u
32
+ ··· + u + 3
c
12
u
33
− 2u
32
+ ··· + 2u − 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
33
+ 9y
32
+ ··· − 2780y −81
c
2
, c
5
y
33
− 15y
32
+ ··· + 100y −9
c
3
y
33
− 22y
32
+ ··· + 16y
2
− 1
c
4
y
33
− 9y
32
+ ··· + 21y −1
c
6
, c
9
y
33
+ 30y
32
+ ··· + 37y −1
c
7
y
33
− 13y
32
+ ··· + 3y −1
c
8
, c
11
y
33
− 16y
32
+ ··· + 187y −9
c
10
y
33
− 7y
32
+ ··· + 14y −1
c
12
y
33
− 2y
32
+ ··· + 8y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.951920 + 0.267560I
a = 1.67013 + 1.18431I
b = 1.37775 + 1.75730I
−6.86829 + 1.07142I −20.1631 − 4.0732I
u = −0.951920 − 0.267560I
a = 1.67013 − 1.18431I
b = 1.37775 − 1.75730I
−6.86829 − 1.07142I −20.1631 + 4.0732I
u = 1.03049
a = −0.338521
b = 2.02368
−3.20545 −39.6230
u = 0.590982 + 0.913740I
a = 0.330747 + 0.251972I
b = −0.0786731 + 0.0451711I
−1.10486 − 1.44157I −14.8210 − 0.4937I
u = 0.590982 − 0.913740I
a = 0.330747 − 0.251972I
b = −0.0786731 − 0.0451711I
−1.10486 + 1.44157I −14.8210 + 0.4937I
u = −0.066897 + 0.865994I
a = −0.544859 − 0.677902I
b = −0.437008 + 0.025007I
0.37221 − 2.19374I −0.52813 + 3.92890I
u = −0.066897 − 0.865994I
a = −0.544859 + 0.677902I
b = −0.437008 − 0.025007I
0.37221 + 2.19374I −0.52813 − 3.92890I
u = 0.699179 + 0.438480I
a = −0.576232 + 0.502954I
b = 0.389323 − 0.779167I
1.44296 − 5.39228I 0.02953 + 4.79292I
u = 0.699179 − 0.438480I
a = −0.576232 − 0.502954I
b = 0.389323 + 0.779167I
1.44296 + 5.39228I 0.02953 − 4.79292I
u = 1.117210 + 0.386758I
a = −0.028628 + 1.150650I
b = −0.15124 + 2.19874I
−4.96180 + 0.27487I −8.02110 − 0.43238I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.117210 − 0.386758I
a = −0.028628 − 1.150650I
b = −0.15124 − 2.19874I
−4.96180 − 0.27487I −8.02110 + 0.43238I
u = 0.552322 + 1.097360I
a = 0.125953 + 0.399942I
b = 0.023146 − 0.264388I
1.46437 − 5.82553I 0.20649 + 11.70510I
u = 0.552322 − 1.097360I
a = 0.125953 − 0.399942I
b = 0.023146 + 0.264388I
1.46437 + 5.82553I 0.20649 − 11.70510I
u = 1.027510 + 0.677835I
a = −0.612418 − 1.019350I
b = 0.01657 − 1.56407I
−4.12872 − 5.35259I −5.60711 + 5.87653I
u = 1.027510 − 0.677835I
a = −0.612418 + 1.019350I
b = 0.01657 + 1.56407I
−4.12872 + 5.35259I −5.60711 − 5.87653I
u = 0.446504 + 1.189630I
a = −0.148777 − 0.358296I
b = −0.115933 + 0.215929I
2.07399 − 0.77091I 3.97606 + 7.56423I
u = 0.446504 − 1.189630I
a = −0.148777 + 0.358296I
b = −0.115933 − 0.215929I
2.07399 + 0.77091I 3.97606 − 7.56423I
u = −1.168620 + 0.558886I
a = −0.231988 − 1.254930I
b = −0.36074 − 1.72850I
−2.83894 + 7.23780I −3.51469 − 4.75057I
u = −1.168620 − 0.558886I
a = −0.231988 + 1.254930I
b = −0.36074 + 1.72850I
−2.83894 − 7.23780I −3.51469 + 4.75057I
u = −0.587888 + 0.093397I
a = 2.29073 + 0.06793I
b = 0.94833 − 1.24038I
−1.91860 + 9.33689I −5.37527 − 7.64774I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.587888 − 0.093397I
a = 2.29073 − 0.06793I
b = 0.94833 + 1.24038I
−1.91860 − 9.33689I −5.37527 + 7.64774I
u = −1.379590 + 0.294264I
a = 0.688600 + 0.701993I
b = 0.90335 + 1.41420I
−5.81113 + 10.16790I −7.95638 − 10.39476I
u = −1.379590 − 0.294264I
a = 0.688600 − 0.701993I
b = 0.90335 − 1.41420I
−5.81113 − 10.16790I −7.95638 + 10.39476I
u = 0.507519 + 0.255748I
a = 1.140050 − 0.668907I
b = −0.351570 + 0.921325I
2.66064 + 0.12553I 2.32675 − 1.13693I
u = 0.507519 − 0.255748I
a = 1.140050 + 0.668907I
b = −0.351570 − 0.921325I
2.66064 − 0.12553I 2.32675 + 1.13693I
u = 1.28142 + 0.70891I
a = −0.305040 − 0.880940I
b = 0.60041 − 1.88902I
−5.57137 − 1.51328I −11.50954 − 3.42023I
u = 1.28142 − 0.70891I
a = −0.305040 + 0.880940I
b = 0.60041 + 1.88902I
−5.57137 + 1.51328I −11.50954 + 3.42023I
u = 1.32834 + 0.62223I
a = 0.236937 + 0.902141I
b = −0.54809 + 2.07432I
−5.85762 − 5.11082I −8.90745 + 1.76499I
u = 1.32834 − 0.62223I
a = 0.236937 − 0.902141I
b = −0.54809 − 2.07432I
−5.85762 + 5.11082I −8.90745 − 1.76499I
u = −1.43382 + 0.44753I
a = −0.459251 − 0.720191I
b = −0.71490 − 1.31211I
−4.17280 + 6.18688I −5.84605 − 7.89576I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43382 − 0.44753I
a = −0.459251 + 0.720191I
b = −0.71490 + 1.31211I
−4.17280 − 6.18688I −5.84605 + 7.89576I
u = −0.477510 + 0.101539I
a = −2.74002 − 0.51117I
b = −1.012570 − 0.966942I
0.63416 − 3.37754I −1.47753 + 6.20472I
u = −0.477510 − 0.101539I
a = −2.74002 + 0.51117I
b = −1.012570 + 0.966942I
0.63416 + 3.37754I −1.47753 − 6.20472I
30
III. I
u
3
= hb − a + 1, a
2
− 2a + 3, u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
−1
a
4
=
a
a − 1
a
9
=
1
1
a
5
=
a + 1
a
a
1
=
−2a + 3
−a + 2
a
7
=
−3a + 4
−2a + 3
a
11
=
−1
−1
a
3
=
a + 1
a
a
2
=
−a + 4
2
a
10
=
−a − 4
−a − 2
a
6
=
2a − 3
a − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
4
c
11
(u − 1)
2
c
3
, c
5
, c
8
(u + 1)
2
c
6
, c
9
, c
10
u
2
+ 2
c
7
, c
12
u
2
− 2u + 3
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
8
c
11
(y −1)
2
c
6
, c
9
, c
10
(y + 2)
2
c
7
, c
12
y
2
+ 2y + 9
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.00000 + 1.41421I
b = 1.414210I
−8.22467 −12.0000
u = −1.00000
a = 1.00000 − 1.41421I
b = − 1.414210I
−8.22467 −12.0000
34
IV. I
u
4
= h2b − 3a − 2, a
2
+ 2, u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
−1
a
4
=
a
3
2
a + 1
a
9
=
1
1
a
5
=
1
2
a − 1
a
a
1
=
2
−a + 2
a
7
=
a + 2
2
a
11
=
−1
−1
a
3
=
1
2
a − 1
a
a
2
=
1
2
a + 1
2
a
10
=
2a − 1
2a + 1
a
6
=
−2
a − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
35
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
11
(u − 1)
2
c
3
2(2u
2
− 4u + 3)
c
4
2(2u
2
+ 4u + 3)
c
5
, c
8
(u + 1)
2
c
6
, c
7
, c
9
c
10
, c
12
u
2
+ 2
36
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
8
, c
11
(y −1)
2
c
3
, c
4
4(4y
2
− 4y + 9)
c
6
, c
7
, c
9
c
10
, c
12
(y + 2)
2
37
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.414210I
b = 1.00000 + 2.12132I
−8.22467 −12.0000
u = −1.00000
a = − 1.414210I
b = 1.00000 − 2.12132I
−8.22467 −12.0000
38
V. I
u
5
= hb, a + 1, u − 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
1
a
4
=
−1
0
a
9
=
1
1
a
5
=
−2
−1
a
1
=
1
1
a
7
=
−1
−1
a
11
=
1
1
a
3
=
−2
−1
a
2
=
−1
0
a
10
=
1
1
a
6
=
−1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
39
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
8
c
12
u − 1
c
3
, c
4
, c
5
c
7
, c
11
u + 1
c
6
, c
9
, c
10
u
40
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
7
c
8
, c
11
, c
12
y −1
c
6
, c
9
, c
10
y
41
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −1.00000
b = 0
−3.28987 −12.0000
42
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
5
)(u
33
− 15u
32
+ ··· + 100u − 9)
· (u
165
+ 73u
164
+ ··· + 5492581u + 346921)
c
2
((u − 1)
5
)(u
33
+ 5u
32
+ ··· − 10u − 3)(u
165
+ 5u
164
+ ··· − 2107u + 589)
c
3
4(u + 1)
3
(2u
2
− 4u + 3)(u
33
+ 4u
32
+ ··· − 5u
3
+ 1)
· (2u
165
− 6u
164
+ ··· − 6475u + 1861)
c
4
4(u − 1)
2
(u + 1)(2u
2
+ 4u + 3)(u
33
+ 3u
32
+ ··· + 3u + 1)
· (2u
165
+ 4u
164
+ ··· − 128570378u − 140071969)
c
5
((u + 1)
5
)(u
33
− 5u
32
+ ··· − 10u + 3)(u
165
+ 5u
164
+ ··· − 2107u + 589)
c
6
u(u
2
+ 2)
2
(u
33
+ 2u
32
+ ··· + 15u + 1)
· (u
165
+ 11u
164
+ ··· + 593536u + 54052)
c
7
(u + 1)(u
2
+ 2)(u
2
− 2u + 3)(u
33
+ 3u
32
+ ··· + 3u + 1)
· (u
165
− 11u
164
+ ··· − 13275136u + 1499648)
c
8
(u − 1)(u + 1)
4
(u
33
− 4u
32
+ ··· + u − 3)
· (u
165
+ 4u
164
+ ··· − 92466u − 5291)
c
9
u(u
2
+ 2)
2
(u
33
− 2u
32
+ ··· + 15u − 1)
· (u
165
+ 11u
164
+ ··· + 593536u + 54052)
c
10
u(u
2
+ 2)
2
(u
33
+ u
32
+ ··· + 6u − 1)
· (u
165
+ 18u
164
+ ··· − 1283584u − 111872)
c
11
((u − 1)
4
)(u + 1)(u
33
+ 4u
32
+ ··· + u + 3)
· (u
165
+ 4u
164
+ ··· − 92466u − 5291)
c
12
(u − 1)(u
2
+ 2)(u
2
− 2u + 3)(u
33
− 2u
32
+ ··· + 2u − 1)
· (u
165
+ 16u
164
+ ··· + 1428492u + 35066)
43
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
5
)(y
33
+ 9y
32
+ ··· − 2780y −81)
· (y
165
+ 47y
164
+ ··· + 929433493849y −120354180241)
c
2
, c
5
((y −1)
5
)(y
33
− 15y
32
+ ··· + 100y −9)
· (y
165
− 73y
164
+ ··· + 5492581y −346921)
c
3
16(y −1)
3
(4y
2
− 4y + 9)(y
33
− 22y
32
+ ··· + 16y
2
− 1)
· (4y
165
− 120y
164
+ ··· + 29728631y −3463321)
c
4
16(y −1)
3
(4y
2
− 4y + 9)(y
33
− 9y
32
+ ··· + 21y −1)
· (4y
165
− 228y
164
+ ··· + 1.19 × 10
18
y −1.96 × 10
16
)
c
6
, c
9
y(y + 2)
4
(y
33
+ 30y
32
+ ··· + 37y −1)
· (y
165
+ 125y
164
+ ··· + 44245013584y −2921618704)
c
7
(y −1)(y + 2)
2
(y
2
+ 2y + 9)(y
33
− 13y
32
+ ··· + 3y −1)
· (y
165
− 25y
164
+ ··· + 95755580735488y −2248944123904)
c
8
, c
11
((y −1)
5
)(y
33
− 16y
32
+ ··· + 187y −9)
· (y
165
− 98y
164
+ ··· + 2317734584y −27994681)
c
10
y(y + 2)
4
(y
33
− 7y
32
+ ··· + 14y −1)
· (y
165
+ 16y
164
+ ··· − 906086514688y −12515344384)
c
12
(y −1)(y + 2)
2
(y
2
+ 2y + 9)(y
33
− 2y
32
+ ··· + 8y −1)
· (y
165
+ 50y
164
+ ··· + 436180962572y −1229624356)
44
