12a
0948
(K12a
0948
)
A knot diagram
1
Linearized knot diagam
4 6 10 8 2 12 5 11 3 1 7 9
Solving Sequence
5,7 8,11
9 12 1 4 2 6 10 3
c
7
c
8
c
11
c
12
c
4
c
1
c
6
c
10
c
3
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h4.82117 × 10
1053
u
173
4.17945 × 10
1054
u
172
+ ··· + 6.20593 × 10
1055
b 1.69443 × 10
1058
,
3.67137 × 10
1057
u
173
2.36071 × 10
1058
u
172
+ ··· + 9.41254 × 10
1059
a + 2.24659 × 10
1060
,
u
174
8u
173
+ ··· 103455u + 15167i
I
u
2
= h1.73012 × 10
65
u
48
+ 9.41857 × 10
65
u
47
+ ··· + 3.09147 × 10
64
b 2.30301 × 10
64
,
5.28502 × 10
65
u
48
2.32675 × 10
66
u
47
+ ··· + 3.09147 × 10
64
a + 1.24633 × 10
66
, u
49
+ 5u
48
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 223 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
= h4.82 × 10
1053
u
173
4.18 × 10
1054
u
172
+ · · · + 6.21 × 10
1055
b 1.69 ×
10
1058
, 3.67 × 10
1057
u
173
2.36 × 10
1058
u
172
+ · · · + 9.41 × 10
1059
a + 2.25 ×
10
1060
, u
174
8u
173
+ · · · 103455u + 15167i
(i) Arc colorings
a
5
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
0.00390051u
173
+ 0.0250805u
172
+ ··· + 71.5023u 2.38681
0.00776864u
173
+ 0.0673460u
172
+ ··· 1844.78u + 273.033
a
9
=
0.000688694u
173
+ 0.0205837u
172
+ ··· 4667.87u + 756.663
0.00312005u
173
0.0195711u
172
+ ··· 923.636u + 179.023
a
12
=
0.0116691u
173
+ 0.0924265u
172
+ ··· 1773.28u + 270.646
0.00776864u
173
+ 0.0673460u
172
+ ··· 1844.78u + 273.033
a
1
=
0.00293430u
173
0.0302441u
172
+ ··· + 653.871u 107.847
0.000613664u
173
0.00576074u
172
+ ··· + 666.345u 89.8223
a
4
=
u
u
3
+ u
a
2
=
0.000973190u
173
0.0125045u
172
+ ··· + 364.254u 58.2403
0.00127663u
173
0.00949914u
172
+ ··· + 618.636u 71.3194
a
6
=
0.0114313u
173
+ 0.0803791u
172
+ ··· + 950.078u 226.104
0.00429712u
173
+ 0.0353554u
172
+ ··· 214.768u + 3.73542
a
10
=
0.00643769u
173
0.0520573u
172
+ ··· + 832.298u 55.2080
0.00241189u
173
0.0126908u
172
+ ··· 244.208u + 53.3806
a
3
=
0.0172693u
173
0.126967u
172
+ ··· 1235.18u + 312.981
0.00834636u
173
0.0675586u
172
+ ··· + 1243.58u 144.687
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.0230806u
173
0.156308u
172
+ ··· 3025.39u + 569.638
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
174
8u
173
+ ··· + 43078027074u 2742648543
c
2
, c
5
9(9u
174
+ 48u
173
+ ··· 1.82848 × 10
8
u 2.86544 × 10
7
)
c
3
, c
9
u
174
3u
173
+ ··· + 117419u + 88717
c
4
, c
7
u
174
8u
173
+ ··· 103455u + 15167
c
6
, c
11
9(9u
174
6u
173
+ ··· + 1495690u 685471)
c
8
u
174
+ 36u
173
+ ··· 108064167u 3658113
c
10
81(81u
174
+ 2196u
173
+ ··· + 9690823u + 854041)
c
12
u
174
4u
173
+ ··· 9297164295u 155059353
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
174
36y
173
+ ··· 6.70 × 10
20
y + 7.52 × 10
18
c
2
, c
5
81
· (81y
174
6552y
173
+ ··· + 36023322668094366y + 821074238198449)
c
3
, c
9
y
174
135y
173
+ ··· 197112030361y + 7870706089
c
4
, c
7
y
174
+ 82y
173
+ ··· + 17293282263y + 230037889
c
6
, c
11
81
· (81y
174
+ 10134y
173
+ ··· + 10182336694290y + 469870491841)
c
8
y
174
80y
173
+ ··· 218702911553847y + 13381790720769
c
10
6561
· (6561y
174
435132y
173
+ ··· 22717612681479y + 729386029681)
c
12
y
174
+ 52y
173
+ ··· 9052861972252739517y + 24043402952778609
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.105788 + 0.992907I
a = 8.63885 + 2.18936I
b = 0.054244 + 1.013980I
1.57777 0.35841I 0
u = 0.105788 0.992907I
a = 8.63885 2.18936I
b = 0.054244 1.013980I
1.57777 + 0.35841I 0
u = 0.017165 + 1.001590I
a = 0.513932 + 0.985222I
b = 0.643237 0.876559I
1.92649 + 4.95178I 0
u = 0.017165 1.001590I
a = 0.513932 0.985222I
b = 0.643237 + 0.876559I
1.92649 4.95178I 0
u = 0.499108 + 0.863471I
a = 2.63700 + 0.62587I
b = 0.35250 2.71529I
1.67953 + 2.03058I 0
u = 0.499108 0.863471I
a = 2.63700 0.62587I
b = 0.35250 + 2.71529I
1.67953 2.03058I 0
u = 0.263655 + 0.974190I
a = 0.747181 0.626422I
b = 0.456440 + 0.019467I
0.78721 2.39358I 0
u = 0.263655 0.974190I
a = 0.747181 + 0.626422I
b = 0.456440 0.019467I
0.78721 + 2.39358I 0
u = 0.060232 + 0.986081I
a = 0.848099 0.131819I
b = 0.719978 + 0.392925I
1.64504 + 1.44970I 0
u = 0.060232 0.986081I
a = 0.848099 + 0.131819I
b = 0.719978 0.392925I
1.64504 1.44970I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.982738 + 0.245568I
a = 0.466688 + 0.751681I
b = 0.738446 + 0.146963I
2.23933 2.59331I 0
u = 0.982738 0.245568I
a = 0.466688 0.751681I
b = 0.738446 0.146963I
2.23933 + 2.59331I 0
u = 0.899970 + 0.474333I
a = 0.348297 0.228697I
b = 0.390896 1.211660I
4.53629 + 3.07712I 0
u = 0.899970 0.474333I
a = 0.348297 + 0.228697I
b = 0.390896 + 1.211660I
4.53629 3.07712I 0
u = 0.308477 + 0.973260I
a = 4.04787 + 0.47567I
b = 0.085823 + 1.000220I
1.55044 + 1.07512I 0
u = 0.308477 0.973260I
a = 4.04787 0.47567I
b = 0.085823 1.000220I
1.55044 1.07512I 0
u = 0.451931 + 0.862066I
a = 2.91381 + 0.21847I
b = 0.170072 1.326330I
10.77750 6.33574I 0
u = 0.451931 0.862066I
a = 2.91381 0.21847I
b = 0.170072 + 1.326330I
10.77750 + 6.33574I 0
u = 0.327654 + 0.978486I
a = 1.55074 + 0.46263I
b = 1.373920 0.100475I
1.59680 + 3.06648I 0
u = 0.327654 0.978486I
a = 1.55074 0.46263I
b = 1.373920 + 0.100475I
1.59680 3.06648I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.816236 + 0.518820I
a = 0.049880 + 0.592643I
b = 0.260211 + 1.308340I
7.48812 6.13354I 0
u = 0.816236 0.518820I
a = 0.049880 0.592643I
b = 0.260211 1.308340I
7.48812 + 6.13354I 0
u = 0.511228 + 0.814965I
a = 0.314456 0.613076I
b = 0.17044 1.55691I
10.90080 + 2.39166I 0
u = 0.511228 0.814965I
a = 0.314456 + 0.613076I
b = 0.17044 + 1.55691I
10.90080 2.39166I 0
u = 0.413407 + 0.957407I
a = 0.218950 0.495465I
b = 0.29409 + 1.80147I
10.06320 6.70670I 0
u = 0.413407 0.957407I
a = 0.218950 + 0.495465I
b = 0.29409 1.80147I
10.06320 + 6.70670I 0
u = 0.955084 + 0.055699I
a = 0.323674 0.044907I
b = 0.256490 1.100480I
2.23201 3.29265I 0
u = 0.955084 0.055699I
a = 0.323674 + 0.044907I
b = 0.256490 + 1.100480I
2.23201 + 3.29265I 0
u = 0.775120 + 0.559710I
a = 0.462315 + 0.172632I
b = 0.59221 + 1.40373I
7.05184 + 5.89114I 0
u = 0.775120 0.559710I
a = 0.462315 0.172632I
b = 0.59221 1.40373I
7.05184 5.89114I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.580676 + 0.881375I
a = 0.124712 + 0.086717I
b = 0.316735 1.354540I
5.05541 3.45080I 0
u = 0.580676 0.881375I
a = 0.124712 0.086717I
b = 0.316735 + 1.354540I
5.05541 + 3.45080I 0
u = 0.925467 + 0.165358I
a = 0.212828 1.017190I
b = 0.962519 0.132593I
6.30291 8.32375I 0
u = 0.925467 0.165358I
a = 0.212828 + 1.017190I
b = 0.962519 + 0.132593I
6.30291 + 8.32375I 0
u = 0.598860 + 0.721099I
a = 2.31654 0.04429I
b = 0.490731 1.112850I
5.53054 1.20802I 0
u = 0.598860 0.721099I
a = 2.31654 + 0.04429I
b = 0.490731 + 1.112850I
5.53054 + 1.20802I 0
u = 1.043250 + 0.217868I
a = 0.208576 0.431210I
b = 0.670560 + 0.335177I
6.81979 + 2.60677I 0
u = 1.043250 0.217868I
a = 0.208576 + 0.431210I
b = 0.670560 0.335177I
6.81979 2.60677I 0
u = 0.123285 + 1.067010I
a = 1.68532 0.19184I
b = 0.546914 0.708360I
4.45474 + 0.18317I 0
u = 0.123285 1.067010I
a = 1.68532 + 0.19184I
b = 0.546914 + 0.708360I
4.45474 0.18317I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.633347 + 0.674496I
a = 0.91686 1.35419I
b = 0.735016 0.367384I
0.91675 + 1.10715I 0
u = 0.633347 0.674496I
a = 0.91686 + 1.35419I
b = 0.735016 + 0.367384I
0.91675 1.10715I 0
u = 0.060216 + 1.074030I
a = 1.48380 0.47596I
b = 0.877280 + 0.288988I
3.09545 + 3.19700I 0
u = 0.060216 1.074030I
a = 1.48380 + 0.47596I
b = 0.877280 0.288988I
3.09545 3.19700I 0
u = 0.281831 + 0.874245I
a = 1.94112 0.86508I
b = 1.42405 + 0.33650I
1.150790 0.546322I 0
u = 0.281831 0.874245I
a = 1.94112 + 0.86508I
b = 1.42405 0.33650I
1.150790 + 0.546322I 0
u = 0.363643 + 1.030730I
a = 1.43406 + 0.54770I
b = 0.797668 0.411576I
3.31463 3.43074I 0
u = 0.363643 1.030730I
a = 1.43406 0.54770I
b = 0.797668 + 0.411576I
3.31463 + 3.43074I 0
u = 0.868376 + 0.248762I
a = 0.321564 + 0.289191I
b = 0.317728 + 1.303600I
6.06536 8.12155I 0
u = 0.868376 0.248762I
a = 0.321564 0.289191I
b = 0.317728 1.303600I
6.06536 + 8.12155I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.023259 + 0.900920I
a = 2.11030 + 0.43584I
b = 0.387990 0.304064I
4.12487 + 0.03193I 0
u = 0.023259 0.900920I
a = 2.11030 0.43584I
b = 0.387990 + 0.304064I
4.12487 0.03193I 0
u = 0.457284 + 1.002900I
a = 1.48423 0.65641I
b = 0.853354 + 0.096959I
0.41605 8.37907I 0
u = 0.457284 1.002900I
a = 1.48423 + 0.65641I
b = 0.853354 0.096959I
0.41605 + 8.37907I 0
u = 0.585126 + 0.664641I
a = 0.633629 0.213282I
b = 0.209969 + 1.210890I
1.60446 + 1.50746I 0
u = 0.585126 0.664641I
a = 0.633629 + 0.213282I
b = 0.209969 1.210890I
1.60446 1.50746I 0
u = 1.026190 + 0.442963I
a = 0.275739 + 0.036861I
b = 0.332904 + 0.700789I
5.42577 + 2.00818I 0
u = 1.026190 0.442963I
a = 0.275739 0.036861I
b = 0.332904 0.700789I
5.42577 2.00818I 0
u = 0.634590 + 0.920462I
a = 1.48155 + 0.01846I
b = 0.061580 0.909578I
4.25232 0.64086I 0
u = 0.634590 0.920462I
a = 1.48155 0.01846I
b = 0.061580 + 0.909578I
4.25232 + 0.64086I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.755027 + 0.454788I
a = 0.053718 + 0.579396I
b = 0.201867 1.087000I
5.29516 0.53701I 0
u = 0.755027 0.454788I
a = 0.053718 0.579396I
b = 0.201867 + 1.087000I
5.29516 + 0.53701I 0
u = 0.540023 + 0.694861I
a = 0.153158 0.361356I
b = 0.055703 1.333580I
4.98380 4.10822I 0
u = 0.540023 0.694861I
a = 0.153158 + 0.361356I
b = 0.055703 + 1.333580I
4.98380 + 4.10822I 0
u = 1.101610 + 0.222702I
a = 0.047393 0.143697I
b = 0.193424 1.110190I
5.87532 + 0.93957I 0
u = 1.101610 0.222702I
a = 0.047393 + 0.143697I
b = 0.193424 + 1.110190I
5.87532 0.93957I 0
u = 0.093657 + 1.135620I
a = 1.409940 + 0.061582I
b = 1.216810 + 0.353798I
1.74865 + 0.27878I 0
u = 0.093657 1.135620I
a = 1.409940 0.061582I
b = 1.216810 0.353798I
1.74865 0.27878I 0
u = 0.151202 + 0.840096I
a = 1.83080 0.45938I
b = 0.263553 + 0.727900I
1.45687 + 0.18954I 0
u = 0.151202 0.840096I
a = 1.83080 + 0.45938I
b = 0.263553 0.727900I
1.45687 0.18954I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.431718 + 0.731263I
a = 2.69232 0.83150I
b = 0.44316 + 1.42863I
10.80750 + 3.15916I 0
u = 0.431718 0.731263I
a = 2.69232 + 0.83150I
b = 0.44316 1.42863I
10.80750 3.15916I 0
u = 0.002875 + 1.153440I
a = 1.51108 + 0.02918I
b = 1.28401 0.78539I
1.15212 + 1.20462I 0
u = 0.002875 1.153440I
a = 1.51108 0.02918I
b = 1.28401 + 0.78539I
1.15212 1.20462I 0
u = 0.454876 + 1.096400I
a = 1.83521 0.50281I
b = 0.61371 + 1.32945I
2.41790 6.36783I 0
u = 0.454876 1.096400I
a = 1.83521 + 0.50281I
b = 0.61371 1.32945I
2.41790 + 6.36783I 0
u = 0.468627 + 1.111020I
a = 0.792736 + 0.082852I
b = 0.818556 0.067626I
0.84886 + 3.29889I 0
u = 0.468627 1.111020I
a = 0.792736 0.082852I
b = 0.818556 + 0.067626I
0.84886 3.29889I 0
u = 0.574851 + 1.061100I
a = 1.297480 + 0.074808I
b = 0.573140 + 1.057110I
0.12987 + 3.39369I 0
u = 0.574851 1.061100I
a = 1.297480 0.074808I
b = 0.573140 1.057110I
0.12987 3.39369I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.969955 + 0.722466I
a = 0.495633 + 0.955340I
b = 0.047454 + 0.888667I
0.36490 2.68762I 0
u = 0.969955 0.722466I
a = 0.495633 0.955340I
b = 0.047454 0.888667I
0.36490 + 2.68762I 0
u = 0.453692 + 1.128250I
a = 1.18972 1.10940I
b = 0.280444 1.251060I
5.47780 10.52790I 0
u = 0.453692 1.128250I
a = 1.18972 + 1.10940I
b = 0.280444 + 1.251060I
5.47780 + 10.52790I 0
u = 0.622518 + 1.048770I
a = 0.812514 0.536519I
b = 0.082243 0.898246I
0.44233 + 2.84121I 0
u = 0.622518 1.048770I
a = 0.812514 + 0.536519I
b = 0.082243 + 0.898246I
0.44233 2.84121I 0
u = 0.583693 + 0.509936I
a = 2.86879 + 0.82366I
b = 0.721821 + 1.041950I
8.46291 7.57961I 0
u = 0.583693 0.509936I
a = 2.86879 0.82366I
b = 0.721821 1.041950I
8.46291 + 7.57961I 0
u = 0.745171 + 0.972980I
a = 1.274660 + 0.084117I
b = 0.207915 + 1.005180I
6.24656 + 0.29952I 0
u = 0.745171 0.972980I
a = 1.274660 0.084117I
b = 0.207915 1.005180I
6.24656 0.29952I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.798382 + 0.935782I
a = 1.036420 0.734833I
b = 0.361463 0.891330I
0.99518 8.59993I 0
u = 0.798382 0.935782I
a = 1.036420 + 0.734833I
b = 0.361463 + 0.891330I
0.99518 + 8.59993I 0
u = 0.637912 + 1.056310I
a = 1.80510 + 0.26388I
b = 0.75884 + 1.48150I
5.54132 11.24360I 0
u = 0.637912 1.056310I
a = 1.80510 0.26388I
b = 0.75884 1.48150I
5.54132 + 11.24360I 0
u = 0.631103 + 1.071510I
a = 0.412700 0.325772I
b = 0.64430 + 1.32236I
6.77712 + 2.68736I 0
u = 0.631103 1.071510I
a = 0.412700 + 0.325772I
b = 0.64430 1.32236I
6.77712 2.68736I 0
u = 0.590990 + 1.135850I
a = 1.147040 + 0.552687I
b = 0.206241 + 1.028440I
1.47487 3.22310I 0
u = 0.590990 1.135850I
a = 1.147040 0.552687I
b = 0.206241 1.028440I
1.47487 + 3.22310I 0
u = 0.722405 + 1.066110I
a = 0.708294 + 0.039478I
b = 0.020913 + 0.233589I
3.58239 + 4.26656I 0
u = 0.722405 1.066110I
a = 0.708294 0.039478I
b = 0.020913 0.233589I
3.58239 4.26656I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.665368 + 1.127100I
a = 1.41992 0.14541I
b = 0.61247 1.30407I
2.55376 8.83647I 0
u = 0.665368 1.127100I
a = 1.41992 + 0.14541I
b = 0.61247 + 1.30407I
2.55376 + 8.83647I 0
u = 0.102007 + 0.682962I
a = 1.76914 0.25695I
b = 0.44987 1.41245I
4.14146 5.79026I 0
u = 0.102007 0.682962I
a = 1.76914 + 0.25695I
b = 0.44987 + 1.41245I
4.14146 + 5.79026I 0
u = 1.238880 + 0.444512I
a = 0.090410 0.181053I
b = 0.564035 1.282780I
9.8173 + 13.8772I 0
u = 1.238880 0.444512I
a = 0.090410 + 0.181053I
b = 0.564035 + 1.282780I
9.8173 13.8772I 0
u = 0.590781 + 1.176220I
a = 1.81293 0.15426I
b = 0.506160 + 1.298340I
3.35110 + 13.46760I 0
u = 0.590781 1.176220I
a = 1.81293 + 0.15426I
b = 0.506160 1.298340I
3.35110 13.46760I 0
u = 0.534335 + 0.421295I
a = 0.678665 + 0.247161I
b = 0.023937 + 1.138570I
1.63591 + 1.46544I 0
u = 0.534335 0.421295I
a = 0.678665 0.247161I
b = 0.023937 1.138570I
1.63591 1.46544I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.498382 + 1.231610I
a = 1.40992 + 0.45423I
b = 0.62903 1.46229I
3.03939 10.04370I 0
u = 0.498382 1.231610I
a = 1.40992 0.45423I
b = 0.62903 + 1.46229I
3.03939 + 10.04370I 0
u = 0.646745 + 1.161720I
a = 1.005690 + 0.131636I
b = 0.530877 0.940813I
3.09487 + 5.84029I 0
u = 0.646745 1.161720I
a = 1.005690 0.131636I
b = 0.530877 + 0.940813I
3.09487 5.84029I 0
u = 0.524563 + 1.224790I
a = 1.64082 + 0.37202I
b = 0.543452 1.076860I
1.25183 + 8.42208I 0
u = 0.524563 1.224790I
a = 1.64082 0.37202I
b = 0.543452 + 1.076860I
1.25183 8.42208I 0
u = 0.608253 + 1.187600I
a = 1.046230 0.532919I
b = 1.110490 + 0.208651I
0.56642 + 8.23567I 0
u = 0.608253 1.187600I
a = 1.046230 + 0.532919I
b = 1.110490 0.208651I
0.56642 8.23567I 0
u = 0.579509 + 1.211110I
a = 1.152770 + 0.575913I
b = 1.382860 0.185529I
3.22713 + 13.72270I 0
u = 0.579509 1.211110I
a = 1.152770 0.575913I
b = 1.382860 + 0.185529I
3.22713 13.72270I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.130120 + 1.336890I
a = 0.993158 + 0.699794I
b = 0.453590 0.879843I
3.90624 + 3.94646I 0
u = 0.130120 1.336890I
a = 0.993158 0.699794I
b = 0.453590 + 0.879843I
3.90624 3.94646I 0
u = 0.292621 + 1.314260I
a = 0.258085 0.662559I
b = 0.132899 + 0.683008I
2.69005 + 1.40993I 0
u = 0.292621 1.314260I
a = 0.258085 + 0.662559I
b = 0.132899 0.683008I
2.69005 1.40993I 0
u = 1.248410 + 0.516227I
a = 0.196618 + 0.227169I
b = 0.492989 + 1.209390I
5.38896 + 7.27482I 0
u = 1.248410 0.516227I
a = 0.196618 0.227169I
b = 0.492989 1.209390I
5.38896 7.27482I 0
u = 0.014040 + 0.645390I
a = 5.06102 + 1.42242I
b = 0.154060 + 0.958310I
2.81767 + 0.05375I 0
u = 0.014040 0.645390I
a = 5.06102 1.42242I
b = 0.154060 0.958310I
2.81767 0.05375I 0
u = 0.332081 + 0.539720I
a = 0.163227 0.206372I
b = 0.33277 + 1.47622I
4.37561 + 2.82047I 0
u = 0.332081 0.539720I
a = 0.163227 + 0.206372I
b = 0.33277 1.47622I
4.37561 2.82047I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.485128 + 0.386918I
a = 0.431449 + 0.189487I
b = 0.702401 0.306781I
1.16173 + 4.50858I 0
u = 0.485128 0.386918I
a = 0.431449 0.189487I
b = 0.702401 + 0.306781I
1.16173 4.50858I 0
u = 0.674152 + 1.224680I
a = 1.109810 + 0.274730I
b = 0.926632 + 0.358436I
3.84233 + 3.46265I 0
u = 0.674152 1.224680I
a = 1.109810 0.274730I
b = 0.926632 0.358436I
3.84233 3.46265I 0
u = 0.715485 + 1.216910I
a = 0.953494 + 0.141616I
b = 0.185714 0.946075I
2.94117 + 5.45634I 0
u = 0.715485 1.216910I
a = 0.953494 0.141616I
b = 0.185714 + 0.946075I
2.94117 5.45634I 0
u = 0.181403 + 1.401830I
a = 0.160472 + 0.703212I
b = 0.132799 0.928411I
0.70898 4.04796I 0
u = 0.181403 1.401830I
a = 0.160472 0.703212I
b = 0.132799 + 0.928411I
0.70898 + 4.04796I 0
u = 1.32207 + 0.51539I
a = 0.127444 0.441137I
b = 0.296939 1.209950I
11.25820 + 0.41128I 0
u = 1.32207 0.51539I
a = 0.127444 + 0.441137I
b = 0.296939 + 1.209950I
11.25820 0.41128I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.37329 + 1.37492I
a = 1.188340 + 0.414657I
b = 0.991259 0.953578I
0.42676 + 6.53970I 0
u = 0.37329 1.37492I
a = 1.188340 0.414657I
b = 0.991259 + 0.953578I
0.42676 6.53970I 0
u = 0.273426 + 0.496214I
a = 4.97581 1.75881I
b = 0.234871 0.854669I
7.76717 + 7.03317I 8.29993 + 0.I
u = 0.273426 0.496214I
a = 4.97581 + 1.75881I
b = 0.234871 + 0.854669I
7.76717 7.03317I 8.29993 + 0.I
u = 0.46777 + 1.38582I
a = 1.141810 0.360434I
b = 0.710784 + 1.180360I
0.82386 + 6.39420I 0
u = 0.46777 1.38582I
a = 1.141810 + 0.360434I
b = 0.710784 1.180360I
0.82386 6.39420I 0
u = 0.75845 + 1.25303I
a = 1.53602 + 0.13470I
b = 0.60377 + 1.30603I
2.9196 14.3291I 0
u = 0.75845 1.25303I
a = 1.53602 0.13470I
b = 0.60377 1.30603I
2.9196 + 14.3291I 0
u = 0.74461 + 1.26563I
a = 1.53106 0.09641I
b = 0.67719 1.40297I
7.1508 20.8364I 0
u = 0.74461 1.26563I
a = 1.53106 + 0.09641I
b = 0.67719 + 1.40297I
7.1508 + 20.8364I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.75095 + 1.26578I
a = 1.47264 0.19449I
b = 0.387850 1.291590I
8.65019 7.58615I 0
u = 0.75095 1.26578I
a = 1.47264 + 0.19449I
b = 0.387850 + 1.291590I
8.65019 + 7.58615I 0
u = 0.29458 + 1.44485I
a = 0.914883 + 0.277812I
b = 0.758733 + 0.818817I
1.14018 3.58851I 0
u = 0.29458 1.44485I
a = 0.914883 0.277812I
b = 0.758733 0.818817I
1.14018 + 3.58851I 0
u = 0.51517 + 1.42252I
a = 0.017843 + 0.505784I
b = 0.192527 0.077597I
1.70071 + 8.06336I 0
u = 0.51517 1.42252I
a = 0.017843 0.505784I
b = 0.192527 + 0.077597I
1.70071 8.06336I 0
u = 0.104495 + 0.445793I
a = 0.357588 + 1.183030I
b = 0.24868 1.58801I
6.41225 + 6.68286I 11.58531 + 0.48413I
u = 0.104495 0.445793I
a = 0.357588 1.183030I
b = 0.24868 + 1.58801I
6.41225 6.68286I 11.58531 0.48413I
u = 0.83731 + 1.35954I
a = 0.824384 0.039414I
b = 0.29348 + 1.38461I
6.98294 9.60167I 0
u = 0.83731 1.35954I
a = 0.824384 + 0.039414I
b = 0.29348 1.38461I
6.98294 + 9.60167I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.386094
a = 1.33488
b = 0.349604
1.02186 12.1040
u = 0.384804
a = 2.66052
b = 0.993750
2.32739 2.92650
u = 0.274111 + 0.172340I
a = 1.61436 + 0.09388I
b = 0.545398 + 0.081923I
1.28025 + 0.62932I 5.16557 1.08005I
u = 0.274111 0.172340I
a = 1.61436 0.09388I
b = 0.545398 0.081923I
1.28025 0.62932I 5.16557 + 1.08005I
u = 1.61151 + 0.47590I
a = 0.168398 + 0.205584I
b = 0.155742 + 1.163060I
10.09570 + 1.33674I 0
u = 1.61151 0.47590I
a = 0.168398 0.205584I
b = 0.155742 1.163060I
10.09570 1.33674I 0
u = 0.20354 + 1.70008I
a = 0.898783 + 0.042983I
b = 0.669462 0.828997I
4.30144 + 2.58801I 0
u = 0.20354 1.70008I
a = 0.898783 0.042983I
b = 0.669462 + 0.828997I
4.30144 2.58801I 0
u = 0.17017 + 1.71213I
a = 0.567105 0.268582I
b = 0.565467 + 0.799746I
1.10228 + 8.74422I 0
u = 0.17017 1.71213I
a = 0.567105 + 0.268582I
b = 0.565467 0.799746I
1.10228 8.74422I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.053246 + 0.203663I
a = 3.34885 1.33976I
b = 0.403840 + 0.517427I
1.76130 + 0.49161I 4.10039 0.03896I
u = 0.053246 0.203663I
a = 3.34885 + 1.33976I
b = 0.403840 0.517427I
1.76130 0.49161I 4.10039 + 0.03896I
u = 1.87862 + 0.02502I
a = 0.085743 + 0.176647I
b = 0.021083 + 0.759761I
8.27980 0.55026I 0
u = 1.87862 0.02502I
a = 0.085743 0.176647I
b = 0.021083 0.759761I
8.27980 + 0.55026I 0
22
II.
I
u
2
= h1.73×10
65
u
48
+9.42×10
65
u
47
+· · ·+3.09×10
64
b2.30×10
64
, 5.29×
10
65
u
48
2.33×10
66
u
47
+· · ·+3.09×10
64
a+1.25×10
66
, u
49
+5u
48
+· · ·+2u+1i
(i) Arc colorings
a
5
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
11
=
17.0955u
48
+ 75.2635u
47
+ ··· 55.2364u 40.3151
5.59643u
48
30.4663u
47
+ ··· 5.33561u + 0.744957
a
9
=
38.5978u
48
179.859u
47
+ ··· + 33.8204u + 57.4952
3.04117u
48
11.7999u
47
+ ··· + 30.3011u + 15.4988
a
12
=
11.4990u
48
+ 44.7973u
47
+ ··· 60.5720u 39.5701
5.59643u
48
30.4663u
47
+ ··· 5.33561u + 0.744957
a
1
=
8.41999u
48
44.9404u
47
+ ··· 27.7528u 7.46483
8.29155u
48
+ 38.9571u
47
+ ··· 28.7713u 15.8291
a
4
=
u
u
3
+ u
a
2
=
2.15596u
48
12.4449u
47
+ ··· 17.0459u 8.76743
12.4336u
48
+ 60.1249u
47
+ ··· 26.6792u 18.3070
a
6
=
9.72715u
48
48.5642u
47
+ ··· + 14.8786u + 9.69608
10.8427u
48
+ 52.7312u
47
+ ··· 12.8391u 17.0527
a
10
=
41.9381u
48
+ 221.729u
47
+ ··· + 151.127u + 1.01042
9.86070u
48
+ 48.6428u
47
+ ··· 22.1248u 16.1652
a
3
=
18.0206u
48
+ 86.3237u
47
+ ··· 51.5573u 31.7971
0.0443102u
48
+ 0.627570u
47
+ ··· + 10.4237u + 6.30775
(ii) Obstruction class = 1
(iii) Cusp Shapes = 11.2892u
48
+ 45.4455u
47
+ ··· 320.068u 89.4626
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
49
11u
48
+ ··· + 5241u 423
c
2
9(9u
49
+ 15u
48
+ ··· u 1)
c
3
u
49
10u
48
+ ··· + 30u + 11
c
4
u
49
5u
48
+ ··· + 2u 1
c
5
9(9u
49
15u
48
+ ··· u + 1)
c
6
9(9u
49
+ 3u
48
+ ··· 23u + 11)
c
7
u
49
+ 5u
48
+ ··· + 2u + 1
c
8
u
49
17u
48
+ ··· 1488u + 207
c
9
u
49
+ 10u
48
+ ··· + 30u 11
c
10
81(81u
49
+ 261u
48
+ ··· + 8u + 1)
c
11
9(9u
49
3u
48
+ ··· 23u 11)
c
12
u
49
+ 3u
48
+ ··· 1710u 81
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
49
+ 9y
48
+ ··· 12260925y 178929
c
2
, c
5
81(81y
49
1071y
48
+ ··· + 47y 1)
c
3
, c
9
y
49
50y
48
+ ··· + 11438y 121
c
4
, c
7
y
49
+ 23y
48
+ ··· 18y 1
c
6
, c
11
81(81y
49
+ 2655y
48
+ ··· 3145y 121)
c
8
y
49
107y
48
+ ··· + 402480y 42849
c
10
6561(6561y
49
+ 27297y
48
+ ··· 114y
2
1)
c
12
y
49
+ 29y
48
+ ··· + 153738y 6561
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.102719 + 0.996744I
a = 9.96278 2.86802I
b = 0.048960 1.013590I
1.57696 0.34522I 11.125 370.594I
u = 0.102719 0.996744I
a = 9.96278 + 2.86802I
b = 0.048960 + 1.013590I
1.57696 + 0.34522I 11.125 + 370.594I
u = 0.501010 + 0.917801I
a = 1.99648 0.39944I
b = 0.663006 1.171760I
1.74562 + 1.85571I 0
u = 0.501010 0.917801I
a = 1.99648 + 0.39944I
b = 0.663006 + 1.171760I
1.74562 1.85571I 0
u = 0.073909 + 1.050380I
a = 1.68731 0.11753I
b = 1.33889 + 0.58337I
2.21306 + 1.35043I 0
u = 0.073909 1.050380I
a = 1.68731 + 0.11753I
b = 1.33889 0.58337I
2.21306 1.35043I 0
u = 0.172642 + 0.905117I
a = 2.11829 + 0.40901I
b = 0.342689 + 0.531349I
3.91484 + 0.76486I 3.11943 9.49179I
u = 0.172642 0.905117I
a = 2.11829 0.40901I
b = 0.342689 0.531349I
3.91484 0.76486I 3.11943 + 9.49179I
u = 0.022023 + 0.907618I
a = 1.86717 0.52481I
b = 1.253380 0.059904I
1.50321 1.59167I 0.50632 + 4.11443I
u = 0.022023 0.907618I
a = 1.86717 + 0.52481I
b = 1.253380 + 0.059904I
1.50321 + 1.59167I 0.50632 4.11443I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.708456 + 0.858365I
a = 1.100870 0.792423I
b = 0.259755 0.474098I
0.72530 + 7.87554I 0
u = 0.708456 0.858365I
a = 1.100870 + 0.792423I
b = 0.259755 + 0.474098I
0.72530 7.87554I 0
u = 0.683396 + 0.565127I
a = 0.221272 + 0.185117I
b = 0.46633 1.37214I
5.44014 + 4.42954I 8.17260 2.83803I
u = 0.683396 0.565127I
a = 0.221272 0.185117I
b = 0.46633 + 1.37214I
5.44014 4.42954I 8.17260 + 2.83803I
u = 0.916804 + 0.687931I
a = 0.399941 + 0.865660I
b = 0.104948 + 0.473005I
0.51817 + 2.60675I 0
u = 0.916804 0.687931I
a = 0.399941 0.865660I
b = 0.104948 0.473005I
0.51817 2.60675I 0
u = 0.453618 + 0.695987I
a = 2.88205 0.74476I
b = 0.003909 0.864625I
2.89842 0.97257I 3.83893 + 5.12989I
u = 0.453618 0.695987I
a = 2.88205 + 0.74476I
b = 0.003909 + 0.864625I
2.89842 + 0.97257I 3.83893 5.12989I
u = 0.798450 + 0.173264I
a = 0.279520 + 0.279089I
b = 0.202385 0.961114I
3.80992 + 1.97516I 6.56951 3.60338I
u = 0.798450 0.173264I
a = 0.279520 0.279089I
b = 0.202385 + 0.961114I
3.80992 1.97516I 6.56951 + 3.60338I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.279374 + 1.170380I
a = 0.925668 + 0.413124I
b = 0.492677 + 0.059623I
3.48700 + 2.03632I 0
u = 0.279374 1.170380I
a = 0.925668 0.413124I
b = 0.492677 0.059623I
3.48700 2.03632I 0
u = 0.435441 + 1.201430I
a = 0.788620 0.402212I
b = 0.339227 0.615981I
0.55716 2.74878I 0
u = 0.435441 1.201430I
a = 0.788620 + 0.402212I
b = 0.339227 + 0.615981I
0.55716 + 2.74878I 0
u = 0.604405 + 1.147190I
a = 1.46926 + 0.12159I
b = 0.66012 1.37025I
3.47676 9.35087I 0
u = 0.604405 1.147190I
a = 1.46926 0.12159I
b = 0.66012 + 1.37025I
3.47676 + 9.35087I 0
u = 0.673645 + 1.193850I
a = 1.061450 + 0.195252I
b = 0.31368 + 1.39097I
6.56276 8.65820I 0
u = 0.673645 1.193850I
a = 1.061450 0.195252I
b = 0.31368 1.39097I
6.56276 + 8.65820I 0
u = 0.153082 + 0.606195I
a = 0.461743 + 0.325074I
b = 0.18695 1.58367I
6.16187 7.05268I 1.42905 + 13.83288I
u = 0.153082 0.606195I
a = 0.461743 0.325074I
b = 0.18695 + 1.58367I
6.16187 + 7.05268I 1.42905 13.83288I
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.407738 + 1.327260I
a = 1.274990 0.427418I
b = 0.908474 + 1.005880I
0.87301 + 6.18090I 0
u = 0.407738 1.327260I
a = 1.274990 + 0.427418I
b = 0.908474 1.005880I
0.87301 6.18090I 0
u = 0.124015 + 0.545800I
a = 5.86633 + 0.65560I
b = 0.470298 + 0.854986I
7.46315 7.54061I 0.64793 + 10.47120I
u = 0.124015 0.545800I
a = 5.86633 0.65560I
b = 0.470298 0.854986I
7.46315 + 7.54061I 0.64793 10.47120I
u = 0.143774 + 0.462860I
a = 3.59852 0.10397I
b = 0.10384 + 1.51777I
10.55420 + 4.35819I 8.05761 4.11778I
u = 0.143774 0.462860I
a = 3.59852 + 0.10397I
b = 0.10384 1.51777I
10.55420 4.35819I 8.05761 + 4.11778I
u = 0.33576 + 1.48634I
a = 0.881927 + 0.447261I
b = 0.649783 1.090960I
1.63244 + 7.19376I 0
u = 0.33576 1.48634I
a = 0.881927 0.447261I
b = 0.649783 + 1.090960I
1.63244 7.19376I 0
u = 0.48103 + 1.53280I
a = 0.213654 0.453229I
b = 0.217512 + 0.602017I
2.13303 + 8.39587I 0
u = 0.48103 1.53280I
a = 0.213654 + 0.453229I
b = 0.217512 0.602017I
2.13303 8.39587I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.58028 + 0.39905I
a = 0.065935 + 0.334995I
b = 0.171542 + 1.128330I
9.77165 + 1.49028I 0
u = 1.58028 0.39905I
a = 0.065935 0.334995I
b = 0.171542 1.128330I
9.77165 1.49028I 0
u = 0.195856 + 0.306648I
a = 1.40213 + 0.60416I
b = 0.24850 + 1.40296I
4.26307 3.44006I 1.94439 + 5.69150I
u = 0.195856 0.306648I
a = 1.40213 0.60416I
b = 0.24850 1.40296I
4.26307 + 3.44006I 1.94439 5.69150I
u = 0.22212 + 1.62980I
a = 0.937581 0.050913I
b = 0.650043 + 0.820927I
4.48079 + 2.54080I 0
u = 0.22212 1.62980I
a = 0.937581 + 0.050913I
b = 0.650043 0.820927I
4.48079 2.54080I 0
u = 0.235886
a = 3.65205
b = 0.671273
0.430818 4.30640
u = 1.88990 + 0.03587I
a = 0.061577 + 0.130232I
b = 0.110369 + 0.778949I
8.33414 0.29076I 0
u = 1.88990 0.03587I
a = 0.061577 0.130232I
b = 0.110369 0.778949I
8.33414 + 0.29076I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
49
11u
48
+ ··· + 5241u 423)
· (u
174
8u
173
+ ··· + 43078027074u 2742648543)
c
2
81(9u
49
+ 15u
48
+ ··· u 1)
· (9u
174
+ 48u
173
+ ··· 182847720u 28654393)
c
3
(u
49
10u
48
+ ··· + 30u + 11)(u
174
3u
173
+ ··· + 117419u + 88717)
c
4
(u
49
5u
48
+ ··· + 2u 1)(u
174
8u
173
+ ··· 103455u + 15167)
c
5
81(9u
49
15u
48
+ ··· u + 1)
· (9u
174
+ 48u
173
+ ··· 182847720u 28654393)
c
6
81(9u
49
+ 3u
48
+ ··· 23u + 11)
· (9u
174
6u
173
+ ··· + 1495690u 685471)
c
7
(u
49
+ 5u
48
+ ··· + 2u + 1)(u
174
8u
173
+ ··· 103455u + 15167)
c
8
(u
49
17u
48
+ ··· 1488u + 207)
· (u
174
+ 36u
173
+ ··· 108064167u 3658113)
c
9
(u
49
+ 10u
48
+ ··· + 30u 11)(u
174
3u
173
+ ··· + 117419u + 88717)
c
10
6561(81u
49
+ 261u
48
+ ··· + 8u + 1)
· (81u
174
+ 2196u
173
+ ··· + 9690823u + 854041)
c
11
81(9u
49
3u
48
+ ··· 23u 11)
· (9u
174
6u
173
+ ··· + 1495690u 685471)
c
12
(u
49
+ 3u
48
+ ··· 1710u 81)
· (u
174
4u
173
+ ··· 9297164295u 155059353)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
49
+ 9y
48
+ ··· 12260925y 178929)
· (y
174
36y
173
+ ··· 6.70 × 10
20
y + 7.52 × 10
18
)
c
2
, c
5
6561(81y
49
1071y
48
+ ··· + 47y 1)
· (81y
174
6552y
173
+ ··· + 36023322668094366y + 821074238198449)
c
3
, c
9
(y
49
50y
48
+ ··· + 11438y 121)
· (y
174
135y
173
+ ··· 197112030361y + 7870706089)
c
4
, c
7
(y
49
+ 23y
48
+ ··· 18y 1)
· (y
174
+ 82y
173
+ ··· + 17293282263y + 230037889)
c
6
, c
11
6561(81y
49
+ 2655y
48
+ ··· 3145y 121)
· (81y
174
+ 10134y
173
+ ··· + 10182336694290y + 469870491841)
c
8
(y
49
107y
48
+ ··· + 402480y 42849)
· (y
174
80y
173
+ ··· 218702911553847y + 13381790720769)
c
10
43046721(6561y
49
+ 27297y
48
+ ··· 114y
2
1)
· (6561y
174
435132y
173
+ ··· 22717612681479y + 729386029681)
c
12
(y
49
+ 29y
48
+ ··· + 153738y 6561)
· (y
174
+ 52y
173
+ ··· 9052861972252739517y + 24043402952778609)
34