12a
0914
(K12a
0914
)
A knot diagram
1
Linearized knot diagam
4 6 9 8 11 3 12 2 1 7 5 10
Solving Sequence
3,6
7
2,11
5 12 8 4 10 1 9
c
6
c
2
c
5
c
11
c
7
c
4
c
10
c
12
c
9
c
1
, c
3
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h6.28945 × 10
1120
u
177
+ 3.30828 × 10
1120
u
176
+ ··· + 3.69271 × 10
1123
b + 1.15920 × 10
1124
,
4.00966 × 10
1124
u
177
+ 3.02679 × 10
1124
u
176
+ ··· + 2.68460 × 10
1126
a 2.52671 × 10
1126
,
u
178
42u
176
+ ··· 9456u 727i
I
u
2
= h−1.53640 × 10
55
u
50
3.87380 × 10
55
u
49
+ ··· + 1.01569 × 10
52
b + 3.06717 × 10
55
,
4.87270 × 10
55
u
50
+ 1.19332 × 10
56
u
49
+ ··· + 1.01569 × 10
52
a 8.34046 × 10
55
, u
51
+ 3u
50
+ ··· 4u 1i
* 2 irreducible components of dim
C
= 0, with total 229 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
1120
u
177
+ 3.31 × 10
1120
u
176
+ · · · + 3.69 × 10
1123
b + 1.16 ×
10
1124
, 4.01 × 10
1124
u
177
+ 3.03 × 10
1124
u
176
+ · · · + 2.68 × 10
1126
a
2.53 × 10
1126
, u
178
42u
176
+ · · · 9456u 727i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
2
=
u
u
a
11
=
0.0149358u
177
0.0112746u
176
+ ··· 51.2712u + 0.941186
0.00170321u
177
0.000895896u
176
+ ··· + 8.48698u 3.13915
a
5
=
0.00483437u
177
+ 0.00344005u
176
+ ··· + 89.7759u + 16.1715
0.0108380u
177
+ 0.00366179u
176
+ ··· + 223.707u + 18.2334
a
12
=
0.00222129u
177
0.00327035u
176
+ ··· 54.5037u 8.44973
0.0135021u
177
+ 0.00556319u
176
+ ··· + 317.850u + 34.3124
a
8
=
0.0143040u
177
0.000899404u
176
+ ··· 563.005u 69.6296
0.00417733u
177
0.00495239u
176
+ ··· + 100.248u + 23.4775
a
4
=
0.0216072u
177
+ 0.00944757u
176
+ ··· + 570.318u + 51.1929
0.0147707u
177
0.00294898u
176
+ ··· 562.222u 60.1550
a
10
=
0.0101121u
177
0.00862272u
176
+ ··· + 35.9964u + 12.2770
0.0000760491u
177
0.00120178u
176
+ ··· 13.0826u 5.06709
a
1
=
0.0120824u
177
0.000905418u
176
+ ··· 335.404u 27.8449
0.0108050u
177
+ 0.00165084u
176
+ ··· + 369.418u + 38.8534
a
9
=
0.0134274u
177
0.00115207u
176
+ ··· 521.107u 65.3754
0.00505391u
177
0.00469973u
176
+ ··· + 58.3488u + 19.2233
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.0300055u
177
0.0175349u
176
+ ··· + 1810.06u + 228.305
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
178
11u
177
+ ··· + 484886u + 16630
c
2
, c
6
u
178
42u
176
+ ··· 9456u 727
c
3
u
178
3u
177
+ ··· 6074908u + 521284
c
4
u
178
5u
177
+ ··· 534111527848u + 12234606751
c
5
, c
11
u
178
+ u
177
+ ··· 79956u 25406
c
7
u
178
11u
177
+ ··· + 10511353546u + 2936241116
c
8
u
178
+ 4u
177
+ ··· 162199u + 18811
c
9
, c
12
u
178
+ 10u
177
+ ··· + 51945823u + 3103757
c
10
u
178
2u
177
+ ··· + 7464600509u + 1577563033
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
178
37y
177
+ ··· 272210308796y + 276556900
c
2
, c
6
y
178
84y
177
+ ··· 43018796y + 528529
c
3
y
178
51y
177
+ ··· 21326040167832y + 271737008656
c
4
y
178
+ 99y
177
+ ··· 4.90 × 10
23
y + 1.50 × 10
20
c
5
, c
11
y
178
+ 121y
177
+ ··· + 19611196928y + 645464836
c
7
y
178
+ 59y
177
+ ··· + 4.34 × 10
20
y + 8.62 × 10
18
c
8
y
178
26y
177
+ ··· 35205027563y + 353853721
c
9
, c
12
y
178
+ 150y
177
+ ··· 369428626219007y + 9633307515049
c
10
y
178
+ 62y
177
+ ··· + 6.12 × 10
19
y + 2.49 × 10
18
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.947667 + 0.379567I
a = 1.42134 0.60528I
b = 0.014422 + 1.121210I
3.38009 1.54141I 0
u = 0.947667 0.379567I
a = 1.42134 + 0.60528I
b = 0.014422 1.121210I
3.38009 + 1.54141I 0
u = 0.926334 + 0.444741I
a = 1.50332 0.69935I
b = 0.697530 + 0.601342I
1.56305 + 6.11918I 0
u = 0.926334 0.444741I
a = 1.50332 + 0.69935I
b = 0.697530 0.601342I
1.56305 6.11918I 0
u = 0.809819 + 0.632534I
a = 0.445712 0.596758I
b = 0.68310 + 1.53067I
6.47665 0.76175I 0
u = 0.809819 0.632534I
a = 0.445712 + 0.596758I
b = 0.68310 1.53067I
6.47665 + 0.76175I 0
u = 0.924597 + 0.473780I
a = 1.91212 + 0.18474I
b = 0.060030 1.042480I
2.96311 2.56203I 0
u = 0.924597 0.473780I
a = 1.91212 0.18474I
b = 0.060030 + 1.042480I
2.96311 + 2.56203I 0
u = 0.449068 + 0.944421I
a = 0.128688 0.325894I
b = 0.46742 1.36176I
4.70991 8.60785I 0
u = 0.449068 0.944421I
a = 0.128688 + 0.325894I
b = 0.46742 + 1.36176I
4.70991 + 8.60785I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.924161 + 0.517314I
a = 2.25069 0.15388I
b = 0.50604 + 1.44308I
4.09570 + 3.29574I 0
u = 0.924161 0.517314I
a = 2.25069 + 0.15388I
b = 0.50604 1.44308I
4.09570 3.29574I 0
u = 1.060090 + 0.016903I
a = 1.54719 0.15027I
b = 0.634517 0.460967I
4.33491 + 0.24862I 0
u = 1.060090 0.016903I
a = 1.54719 + 0.15027I
b = 0.634517 + 0.460967I
4.33491 0.24862I 0
u = 0.836311 + 0.419010I
a = 0.38767 1.37963I
b = 0.147077 1.297050I
3.31973 + 6.22541I 0
u = 0.836311 0.419010I
a = 0.38767 + 1.37963I
b = 0.147077 + 1.297050I
3.31973 6.22541I 0
u = 0.808382 + 0.700683I
a = 1.44536 + 0.90906I
b = 0.252204 + 0.781227I
3.25871 5.80862I 0
u = 0.808382 0.700683I
a = 1.44536 0.90906I
b = 0.252204 0.781227I
3.25871 + 5.80862I 0
u = 0.781314 + 0.496599I
a = 0.449043 0.076592I
b = 0.32539 + 1.60708I
4.58588 + 0.84097I 0
u = 0.781314 0.496599I
a = 0.449043 + 0.076592I
b = 0.32539 1.60708I
4.58588 0.84097I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.058190 + 0.191699I
a = 1.08570 1.00416I
b = 0.701552 + 0.319777I
1.079410 0.575584I 0
u = 1.058190 0.191699I
a = 1.08570 + 1.00416I
b = 0.701552 0.319777I
1.079410 + 0.575584I 0
u = 0.972245 + 0.470105I
a = 1.51111 0.65538I
b = 1.082680 + 0.199899I
3.43359 + 4.61844I 0
u = 0.972245 0.470105I
a = 1.51111 + 0.65538I
b = 1.082680 0.199899I
3.43359 4.61844I 0
u = 0.954395 + 0.508473I
a = 0.021135 + 0.544296I
b = 0.015236 + 0.384864I
3.54566 1.02725I 0
u = 0.954395 0.508473I
a = 0.021135 0.544296I
b = 0.015236 0.384864I
3.54566 + 1.02725I 0
u = 0.822117 + 0.402520I
a = 1.119350 0.696683I
b = 0.609474 + 0.140591I
1.96166 2.57986I 0
u = 0.822117 0.402520I
a = 1.119350 + 0.696683I
b = 0.609474 0.140591I
1.96166 + 2.57986I 0
u = 0.898887 + 0.611419I
a = 1.97910 + 0.36133I
b = 0.87473 + 1.44747I
6.19054 + 5.63955I 0
u = 0.898887 0.611419I
a = 1.97910 0.36133I
b = 0.87473 1.44747I
6.19054 5.63955I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.380457 + 1.031100I
a = 0.402217 + 0.710582I
b = 0.976391 + 0.004940I
6.45632 + 8.43471I 0
u = 0.380457 1.031100I
a = 0.402217 0.710582I
b = 0.976391 0.004940I
6.45632 8.43471I 0
u = 0.029036 + 1.106290I
a = 0.714582 0.338765I
b = 0.135825 1.067320I
9.12938 + 0.59289I 0
u = 0.029036 1.106290I
a = 0.714582 + 0.338765I
b = 0.135825 + 1.067320I
9.12938 0.59289I 0
u = 0.956885 + 0.556639I
a = 1.50918 + 0.71619I
b = 0.912027 + 0.319180I
3.44555 6.30338I 0
u = 0.956885 0.556639I
a = 1.50918 0.71619I
b = 0.912027 0.319180I
3.44555 + 6.30338I 0
u = 0.631351 + 0.631249I
a = 2.71693 0.41430I
b = 0.546921 1.300510I
10.33440 3.16208I 0
u = 0.631351 0.631249I
a = 2.71693 + 0.41430I
b = 0.546921 + 1.300510I
10.33440 + 3.16208I 0
u = 0.969339 + 0.537826I
a = 2.07389 + 0.28246I
b = 0.60288 1.28646I
3.59585 7.82267I 0
u = 0.969339 0.537826I
a = 2.07389 0.28246I
b = 0.60288 + 1.28646I
3.59585 + 7.82267I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.048130 + 0.360997I
a = 1.202110 + 0.624225I
b = 0.719536 0.542905I
3.01331 + 2.90550I 0
u = 1.048130 0.360997I
a = 1.202110 0.624225I
b = 0.719536 + 0.542905I
3.01331 2.90550I 0
u = 0.114827 + 0.882969I
a = 0.0127833 + 0.0844290I
b = 0.326135 + 1.328610I
9.88982 + 5.35873I 0
u = 0.114827 0.882969I
a = 0.0127833 0.0844290I
b = 0.326135 1.328610I
9.88982 5.35873I 0
u = 1.092470 + 0.198121I
a = 1.51423 + 0.11291I
b = 0.950087 + 0.762070I
3.36048 5.82580I 0
u = 1.092470 0.198121I
a = 1.51423 0.11291I
b = 0.950087 0.762070I
3.36048 + 5.82580I 0
u = 0.808263 + 0.308054I
a = 1.26209 + 0.77653I
b = 0.044147 0.482200I
4.32456 2.55086I 0
u = 0.808263 0.308054I
a = 1.26209 0.77653I
b = 0.044147 + 0.482200I
4.32456 + 2.55086I 0
u = 0.655202 + 0.563352I
a = 0.115464 + 0.119092I
b = 0.37811 1.39811I
4.54033 + 3.42006I 0
u = 0.655202 0.563352I
a = 0.115464 0.119092I
b = 0.37811 + 1.39811I
4.54033 3.42006I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.014490 + 0.530224I
a = 0.908974 + 0.862160I
b = 0.131011 + 1.035530I
2.27629 + 0.87176I 0
u = 1.014490 0.530224I
a = 0.908974 0.862160I
b = 0.131011 1.035530I
2.27629 0.87176I 0
u = 0.943727 + 0.669146I
a = 1.082320 0.855634I
b = 0.170005 1.013660I
1.27616 2.63741I 0
u = 0.943727 0.669146I
a = 1.082320 + 0.855634I
b = 0.170005 + 1.013660I
1.27616 + 2.63741I 0
u = 0.751036 + 0.374110I
a = 1.313110 + 0.523190I
b = 1.075420 0.284539I
4.29974 0.99331I 0
u = 0.751036 0.374110I
a = 1.313110 0.523190I
b = 1.075420 + 0.284539I
4.29974 + 0.99331I 0
u = 1.031050 + 0.537736I
a = 1.20834 + 0.83176I
b = 1.42347 0.09857I
1.84331 7.55297I 0
u = 1.031050 0.537736I
a = 1.20834 0.83176I
b = 1.42347 + 0.09857I
1.84331 + 7.55297I 0
u = 0.780725 + 0.865884I
a = 0.828541 + 0.882667I
b = 0.881199 + 0.534004I
1.69298 + 4.69284I 0
u = 0.780725 0.865884I
a = 0.828541 0.882667I
b = 0.881199 0.534004I
1.69298 4.69284I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.111410 + 0.355404I
a = 0.174586 + 0.661924I
b = 0.182500 0.563894I
2.54596 + 0.79149I 0
u = 1.111410 0.355404I
a = 0.174586 0.661924I
b = 0.182500 + 0.563894I
2.54596 0.79149I 0
u = 0.513117 + 0.653335I
a = 0.466255 + 0.583888I
b = 0.282176 1.359300I
8.92158 + 0.13770I 0
u = 0.513117 0.653335I
a = 0.466255 0.583888I
b = 0.282176 + 1.359300I
8.92158 0.13770I 0
u = 1.007550 + 0.600676I
a = 0.025885 + 0.339012I
b = 0.49191 1.56949I
9.16806 + 8.02351I 0
u = 1.007550 0.600676I
a = 0.025885 0.339012I
b = 0.49191 + 1.56949I
9.16806 8.02351I 0
u = 1.154000 + 0.238602I
a = 1.223730 0.260558I
b = 0.887826 0.568921I
3.54911 0.58151I 0
u = 1.154000 0.238602I
a = 1.223730 + 0.260558I
b = 0.887826 + 0.568921I
3.54911 + 0.58151I 0
u = 0.783587 + 0.244056I
a = 2.02710 + 0.73020I
b = 0.354733 + 1.283260I
4.33625 3.75187I 0
u = 0.783587 0.244056I
a = 2.02710 0.73020I
b = 0.354733 1.283260I
4.33625 + 3.75187I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.057070 + 0.532257I
a = 2.41823 0.26547I
b = 0.127009 1.143050I
6.51880 + 3.49580I 0
u = 1.057070 0.532257I
a = 2.41823 + 0.26547I
b = 0.127009 + 1.143050I
6.51880 3.49580I 0
u = 1.082730 + 0.491385I
a = 1.071400 0.544451I
b = 1.201520 + 0.235263I
1.07181 + 1.71954I 0
u = 1.082730 0.491385I
a = 1.071400 + 0.544451I
b = 1.201520 0.235263I
1.07181 1.71954I 0
u = 0.311847 + 0.748441I
a = 0.241082 0.410147I
b = 0.27410 1.41704I
10.69170 5.86905I 0
u = 0.311847 0.748441I
a = 0.241082 + 0.410147I
b = 0.27410 + 1.41704I
10.69170 + 5.86905I 0
u = 1.092210 + 0.472786I
a = 0.82807 + 1.80986I
b = 0.095846 + 1.264100I
6.47257 + 8.92477I 0
u = 1.092210 0.472786I
a = 0.82807 1.80986I
b = 0.095846 1.264100I
6.47257 8.92477I 0
u = 0.691686 + 0.417148I
a = 0.190947 0.812444I
b = 0.902425 + 0.668823I
4.39631 + 2.05619I 0
u = 0.691686 0.417148I
a = 0.190947 + 0.812444I
b = 0.902425 0.668823I
4.39631 2.05619I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.198360 + 0.042819I
a = 0.886174 + 0.610418I
b = 0.627004 0.816665I
2.86323 0.15819I 0
u = 1.198360 0.042819I
a = 0.886174 0.610418I
b = 0.627004 + 0.816665I
2.86323 + 0.15819I 0
u = 0.188249 + 0.777185I
a = 0.413459 0.160180I
b = 0.185165 1.030810I
1.39804 + 2.57312I 0
u = 0.188249 0.777185I
a = 0.413459 + 0.160180I
b = 0.185165 + 1.030810I
1.39804 2.57312I 0
u = 1.028400 + 0.626041I
a = 1.49423 + 0.10849I
b = 0.64879 1.29451I
7.43636 5.22012I 0
u = 1.028400 0.626041I
a = 1.49423 0.10849I
b = 0.64879 + 1.29451I
7.43636 + 5.22012I 0
u = 0.458954 + 0.649679I
a = 3.30551 + 0.88960I
b = 0.485724 + 1.155790I
9.24289 5.89563I 0
u = 0.458954 0.649679I
a = 3.30551 0.88960I
b = 0.485724 1.155790I
9.24289 + 5.89563I 0
u = 0.769276 + 0.938958I
a = 0.231990 + 0.161515I
b = 0.154553 + 1.028400I
3.76430 0.56463I 0
u = 0.769276 0.938958I
a = 0.231990 0.161515I
b = 0.154553 1.028400I
3.76430 + 0.56463I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.144260 + 0.460872I
a = 0.420761 + 0.114595I
b = 0.095792 + 0.182216I
1.25568 5.27981I 0
u = 1.144260 0.460872I
a = 0.420761 0.114595I
b = 0.095792 0.182216I
1.25568 + 5.27981I 0
u = 0.637799 + 0.413395I
a = 1.17200 1.93486I
b = 1.307180 + 0.290513I
0.41381 + 3.42630I 0
u = 0.637799 0.413395I
a = 1.17200 + 1.93486I
b = 1.307180 0.290513I
0.41381 3.42630I 0
u = 1.126130 + 0.532039I
a = 2.11531 0.74953I
b = 0.364419 + 1.002440I
2.78753 10.24430I 0
u = 1.126130 0.532039I
a = 2.11531 + 0.74953I
b = 0.364419 1.002440I
2.78753 + 10.24430I 0
u = 0.678943 + 0.323433I
a = 1.75422 + 1.38886I
b = 1.036610 0.389461I
0.55505 + 1.79650I 0
u = 0.678943 0.323433I
a = 1.75422 1.38886I
b = 1.036610 + 0.389461I
0.55505 1.79650I 0
u = 1.190750 + 0.378224I
a = 0.148933 0.923599I
b = 0.04683 1.45697I
6.88423 + 1.46164I 0
u = 1.190750 0.378224I
a = 0.148933 + 0.923599I
b = 0.04683 + 1.45697I
6.88423 1.46164I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.647031 + 0.377479I
a = 0.550962 + 0.360917I
b = 0.04354 + 1.41784I
4.30370 1.71887I 0
u = 0.647031 0.377479I
a = 0.550962 0.360917I
b = 0.04354 1.41784I
4.30370 + 1.71887I 0
u = 0.506407 + 1.145590I
a = 0.112960 + 0.262141I
b = 0.475980 + 1.220890I
4.94697 + 1.75759I 0
u = 0.506407 1.145590I
a = 0.112960 0.262141I
b = 0.475980 1.220890I
4.94697 1.75759I 0
u = 0.050834 + 1.254670I
a = 0.185683 0.610663I
b = 0.592367 0.187680I
5.81921 + 2.18125I 0
u = 0.050834 1.254670I
a = 0.185683 + 0.610663I
b = 0.592367 + 0.187680I
5.81921 2.18125I 0
u = 0.976706 + 0.800228I
a = 1.172620 + 0.512500I
b = 0.392991 + 1.035030I
3.12213 5.58772I 0
u = 0.976706 0.800228I
a = 1.172620 0.512500I
b = 0.392991 1.035030I
3.12213 + 5.58772I 0
u = 1.170340 + 0.502688I
a = 1.71412 + 0.29564I
b = 0.422289 1.020340I
1.52277 7.30717I 0
u = 1.170340 0.502688I
a = 1.71412 0.29564I
b = 0.422289 + 1.020340I
1.52277 + 7.30717I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.125060 + 0.611410I
a = 1.89830 + 0.11938I
b = 0.43146 1.36686I
8.42350 + 11.07610I 0
u = 1.125060 0.611410I
a = 1.89830 0.11938I
b = 0.43146 + 1.36686I
8.42350 11.07610I 0
u = 1.263760 + 0.221817I
a = 1.150620 0.821047I
b = 0.368746 + 1.036300I
2.56169 + 4.12342I 0
u = 1.263760 0.221817I
a = 1.150620 + 0.821047I
b = 0.368746 1.036300I
2.56169 4.12342I 0
u = 0.715696
a = 2.69794
b = 0.217823
2.55324 0
u = 1.053310 + 0.742684I
a = 0.523004 0.169211I
b = 0.731393 + 0.265735I
0.80782 + 1.50021I 0
u = 1.053310 0.742684I
a = 0.523004 + 0.169211I
b = 0.731393 0.265735I
0.80782 1.50021I 0
u = 1.277790 + 0.290220I
a = 0.071793 1.198630I
b = 0.031239 + 0.836342I
1.34661 1.72117I 0
u = 1.277790 0.290220I
a = 0.071793 + 1.198630I
b = 0.031239 0.836342I
1.34661 + 1.72117I 0
u = 0.633058 + 0.264992I
a = 6.03534 + 0.55211I
b = 0.042072 1.104690I
8.88965 4.39703I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.633058 0.264992I
a = 6.03534 0.55211I
b = 0.042072 + 1.104690I
8.88965 + 4.39703I 0
u = 1.182030 + 0.588864I
a = 1.69550 0.30165I
b = 0.59260 + 1.30870I
6.94421 10.62180I 0
u = 1.182030 0.588864I
a = 1.69550 + 0.30165I
b = 0.59260 1.30870I
6.94421 + 10.62180I 0
u = 1.140840 + 0.675308I
a = 1.68781 0.11459I
b = 0.61162 1.43648I
2.6082 + 14.5033I 0
u = 1.140840 0.675308I
a = 1.68781 + 0.11459I
b = 0.61162 + 1.43648I
2.6082 14.5033I 0
u = 0.085961 + 0.667195I
a = 0.231513 1.006370I
b = 0.146162 + 1.147750I
5.45027 + 5.90505I 0
u = 0.085961 0.667195I
a = 0.231513 + 1.006370I
b = 0.146162 1.147750I
5.45027 5.90505I 0
u = 1.329330 + 0.085137I
a = 0.641780 0.566185I
b = 0.510889 + 0.945932I
2.25963 5.75499I 0
u = 1.329330 0.085137I
a = 0.641780 + 0.566185I
b = 0.510889 0.945932I
2.25963 + 5.75499I 0
u = 0.560030 + 1.227420I
a = 0.155504 + 0.220200I
b = 0.499904 + 1.322410I
10.5407 13.7267I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.560030 1.227420I
a = 0.155504 0.220200I
b = 0.499904 1.322410I
10.5407 + 13.7267I 0
u = 0.506317 + 0.393732I
a = 0.87902 2.36283I
b = 0.019144 1.284060I
8.36220 + 0.68646I 0
u = 0.506317 0.393732I
a = 0.87902 + 2.36283I
b = 0.019144 + 1.284060I
8.36220 0.68646I 0
u = 0.553076 + 0.320300I
a = 5.88900 + 2.56323I
b = 0.099689 + 1.025750I
8.44351 5.28315I 0
u = 0.553076 0.320300I
a = 5.88900 2.56323I
b = 0.099689 1.025750I
8.44351 + 5.28315I 0
u = 1.184460 + 0.675751I
a = 1.091930 0.562231I
b = 1.226600 + 0.033044I
3.9939 14.5238I 0
u = 1.184460 0.675751I
a = 1.091930 + 0.562231I
b = 1.226600 0.033044I
3.9939 + 14.5238I 0
u = 1.178530 + 0.703664I
a = 1.50628 + 0.11011I
b = 0.61140 + 1.36937I
2.69087 8.21839I 0
u = 1.178530 0.703664I
a = 1.50628 0.11011I
b = 0.61140 1.36937I
2.69087 + 8.21839I 0
u = 1.196720 + 0.726024I
a = 1.122670 + 0.194563I
b = 0.183378 + 1.165320I
1.65736 + 6.88575I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.196720 0.726024I
a = 1.122670 0.194563I
b = 0.183378 1.165320I
1.65736 6.88575I 0
u = 1.239760 + 0.661989I
a = 0.295379 0.343931I
b = 0.233977 0.105523I
2.30721 8.68833I 0
u = 1.239760 0.661989I
a = 0.295379 + 0.343931I
b = 0.233977 + 0.105523I
2.30721 + 8.68833I 0
u = 1.26487 + 0.66128I
a = 0.295853 + 0.061429I
b = 0.45862 + 1.50264I
6.89347 + 0.71044I 0
u = 1.26487 0.66128I
a = 0.295853 0.061429I
b = 0.45862 1.50264I
6.89347 0.71044I 0
u = 0.564461
a = 1.34572
b = 0.614147
0.955081 10.7290
u = 0.205257 + 0.504204I
a = 0.983972 + 0.353256I
b = 0.287290 0.255868I
1.43427 + 1.36564I 0.811598 0.827614I
u = 0.205257 0.504204I
a = 0.983972 0.353256I
b = 0.287290 + 0.255868I
1.43427 1.36564I 0.811598 + 0.827614I
u = 1.23250 + 0.78875I
a = 1.57385 + 0.16119I
b = 0.58216 + 1.39524I
8.3100 + 20.8434I 0
u = 1.23250 0.78875I
a = 1.57385 0.16119I
b = 0.58216 1.39524I
8.3100 20.8434I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.017536 + 0.516066I
a = 1.101900 0.408984I
b = 0.790632 + 0.117970I
0.01738 + 3.74101I 6.40193 9.59396I
u = 0.017536 0.516066I
a = 1.101900 + 0.408984I
b = 0.790632 0.117970I
0.01738 3.74101I 6.40193 + 9.59396I
u = 0.367016 + 0.308318I
a = 2.77489 0.29056I
b = 0.269580 + 1.219690I
5.27083 + 5.97555I 2.45765 6.90136I
u = 0.367016 0.308318I
a = 2.77489 + 0.29056I
b = 0.269580 1.219690I
5.27083 5.97555I 2.45765 + 6.90136I
u = 1.22638 + 0.91459I
a = 1.49151 0.37570I
b = 0.54345 1.39434I
6.40747 11.77110I 0
u = 1.22638 0.91459I
a = 1.49151 + 0.37570I
b = 0.54345 + 1.39434I
6.40747 + 11.77110I 0
u = 1.23138 + 0.91544I
a = 0.823909 + 0.522778I
b = 1.210910 + 0.034660I
1.87867 + 5.70557I 0
u = 1.23138 0.91544I
a = 0.823909 0.522778I
b = 1.210910 0.034660I
1.87867 5.70557I 0
u = 1.54923 + 0.07345I
a = 0.924728 0.069453I
b = 0.868160 0.479058I
0.88142 + 4.33332I 0
u = 1.54923 0.07345I
a = 0.924728 + 0.069453I
b = 0.868160 + 0.479058I
0.88142 4.33332I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.17386 + 1.02668I
a = 0.725530 0.223599I
b = 0.231528 1.168850I
5.41671 + 10.87900I 0
u = 1.17386 1.02668I
a = 0.725530 + 0.223599I
b = 0.231528 + 1.168850I
5.41671 10.87900I 0
u = 0.42690 + 1.58690I
a = 0.022093 + 0.303383I
b = 0.029767 + 1.044540I
4.14920 + 0.26512I 0
u = 0.42690 1.58690I
a = 0.022093 0.303383I
b = 0.029767 1.044540I
4.14920 0.26512I 0
u = 0.263279 + 0.240598I
a = 1.77540 0.07382I
b = 0.526899 0.149133I
1.007240 + 0.107241I 10.70929 1.66192I
u = 0.263279 0.240598I
a = 1.77540 + 0.07382I
b = 0.526899 + 0.149133I
1.007240 0.107241I 10.70929 + 1.66192I
u = 0.316701 + 0.132877I
a = 0.857760 0.490838I
b = 0.625443 + 0.542459I
4.36366 + 2.21043I 3.41608 4.64085I
u = 0.316701 0.132877I
a = 0.857760 + 0.490838I
b = 0.625443 0.542459I
4.36366 2.21043I 3.41608 + 4.64085I
u = 1.62866 + 0.34867I
a = 0.775924 + 0.215922I
b = 0.513838 0.988346I
0.73333 9.40171I 0
u = 1.62866 0.34867I
a = 0.775924 0.215922I
b = 0.513838 + 0.988346I
0.73333 + 9.40171I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.186172 + 0.086514I
a = 1.28053 + 0.91657I
b = 0.22118 1.50982I
10.57690 5.44510I 17.2947 + 17.5796I
u = 0.186172 0.086514I
a = 1.28053 0.91657I
b = 0.22118 + 1.50982I
10.57690 + 5.44510I 17.2947 17.5796I
u = 0.93331 + 1.64659I
a = 0.172926 0.323573I
b = 0.68577 1.35836I
7.94327 + 3.32581I 0
u = 0.93331 1.64659I
a = 0.172926 + 0.323573I
b = 0.68577 + 1.35836I
7.94327 3.32581I 0
u = 1.58035 + 1.28978I
a = 0.315170 + 0.004949I
b = 0.102459 1.011890I
5.29410 + 0.69462I 0
u = 1.58035 1.28978I
a = 0.315170 0.004949I
b = 0.102459 + 1.011890I
5.29410 0.69462I 0
u = 2.21538 + 0.77465I
a = 0.141711 0.189928I
b = 0.034543 + 1.012320I
4.62946 + 0.48468I 0
u = 2.21538 0.77465I
a = 0.141711 + 0.189928I
b = 0.034543 1.012320I
4.62946 0.48468I 0
22
II.
I
u
2
= h−1.54×10
55
u
50
3.87×10
55
u
49
+· · ·+1.02×10
52
b+3.07×10
55
, 4.87×
10
55
u
50
+1.19×10
56
u
49
+· · ·+1.02×10
52
a8.34×10
55
, u
51
+3u
50
+· · ·4u1i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
2
=
u
u
a
11
=
4797.43u
50
11748.8u
49
+ ··· + 18510.2u + 8211.62
1512.67u
50
+ 3813.96u
49
+ ··· 6009.11u 3019.79
a
5
=
12395.6u
50
30974.8u
49
+ ··· + 49611.8u + 24631.7
1002.72u
50
+ 2473.19u
49
+ ··· 3970.22u 1835.50
a
12
=
4325.08u
50
10900.4u
49
+ ··· + 17025.0u + 8754.72
294.800u
50
706.261u
49
+ ··· + 1328.99u + 533.990
a
8
=
1552.15u
50
4030.64u
49
+ ··· + 5205.84u + 3081.90
449.685u
50
1047.25u
49
+ ··· + 2182.78u + 790.657
a
4
=
2513.46u
50
6299.28u
49
+ ··· + 10639.8u + 5488.70
1046.32u
50
2599.39u
49
+ ··· + 3685.75u + 1685.40
a
10
=
4782.31u
50
11790.2u
49
+ ··· + 18743.0u + 8587.96
1400.79u
50
+ 3555.26u
49
+ ··· 5677.36u 2933.08
a
1
=
9295.00u
50
+ 23233.3u
49
+ ··· 37469.6u 18713.8
247.052u
50
+ 589.830u
49
+ ··· 826.757u 240.779
a
9
=
1043.31u
50
2726.54u
49
+ ··· + 3497.22u + 2154.29
958.520u
50
2351.35u
49
+ ··· + 3891.40u + 1718.27
(ii) Obstruction class = 1
(iii) Cusp Shapes = 15923.0u
50
38728.2u
49
+ ··· + 71217.8u + 33256.1
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
51
4u
50
+ ··· + 26u 2
c
2
u
51
3u
50
+ ··· 4u + 1
c
3
u
51
+ 2u
50
+ ··· + 12u 9
c
4
u
51
+ 2u
50
+ ··· + 450u 27
c
5
u
51
+ 17u
49
+ ··· + 4u 2
c
6
u
51
+ 3u
50
+ ··· 4u 1
c
7
u
51
12u
50
+ ··· 5u + 1
c
8
u
51
u
50
+ ··· 9u + 1
c
9
u
51
+ 3u
50
+ ··· + 19u + 1
c
10
u
51
+ u
50
+ ··· 261u 23
c
11
u
51
+ 17u
49
+ ··· + 4u + 2
c
12
u
51
3u
50
+ ··· + 19u 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
51
4y
50
+ ··· + 128y 4
c
2
, c
6
y
51
31y
50
+ ··· + 52y 1
c
3
y
51
26y
50
+ ··· + 1944y 81
c
4
y
51
+ 32y
50
+ ··· + 18630y 729
c
5
, c
11
y
51
+ 34y
50
+ ··· + 36y 4
c
7
y
51
+ 4y
50
+ ··· 37y 1
c
8
y
51
13y
50
+ ··· + 47y 1
c
9
, c
12
y
51
+ 47y
50
+ ··· 25y 1
c
10
y
51
+ 19y
50
+ ··· + 1513y 529
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.873995 + 0.527013I
a = 1.68759 0.94029I
b = 0.398027 1.242230I
5.10634 + 4.70188I 0
u = 0.873995 0.527013I
a = 1.68759 + 0.94029I
b = 0.398027 + 1.242230I
5.10634 4.70188I 0
u = 0.788226 + 0.540629I
a = 1.41049 1.10649I
b = 0.595453 + 0.180270I
2.21335 + 5.29740I 0
u = 0.788226 0.540629I
a = 1.41049 + 1.10649I
b = 0.595453 0.180270I
2.21335 5.29740I 0
u = 1.015270 + 0.359814I
a = 0.857112 + 0.535685I
b = 0.285310 0.093856I
2.96817 + 1.43642I 0
u = 1.015270 0.359814I
a = 0.857112 0.535685I
b = 0.285310 + 0.093856I
2.96817 1.43642I 0
u = 0.852248 + 0.662474I
a = 0.113111 + 0.425370I
b = 0.57481 1.41846I
5.85812 + 0.61480I 0
u = 0.852248 0.662474I
a = 0.113111 0.425370I
b = 0.57481 + 1.41846I
5.85812 0.61480I 0
u = 0.910308 + 0.603358I
a = 1.87534 0.19937I
b = 0.79634 1.33102I
5.62870 5.50316I 0
u = 0.910308 0.603358I
a = 1.87534 + 0.19937I
b = 0.79634 + 1.33102I
5.62870 + 5.50316I 0
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.096460 + 0.162436I
a = 0.571416 0.514690I
b = 0.13679 1.44780I
6.71869 0.21130I 0
u = 1.096460 0.162436I
a = 0.571416 + 0.514690I
b = 0.13679 + 1.44780I
6.71869 + 0.21130I 0
u = 1.068120 + 0.427490I
a = 1.150360 0.414978I
b = 1.038280 0.320645I
2.19560 6.50261I 0
u = 1.068120 0.427490I
a = 1.150360 + 0.414978I
b = 1.038280 + 0.320645I
2.19560 + 6.50261I 0
u = 0.780000 + 0.311192I
a = 0.935928 + 0.343473I
b = 0.917030 0.411153I
3.77086 1.13141I 0
u = 0.780000 0.311192I
a = 0.935928 0.343473I
b = 0.917030 + 0.411153I
3.77086 + 1.13141I 0
u = 1.013820 + 0.596016I
a = 0.319323 + 0.877338I
b = 0.044267 + 1.257500I
5.46876 + 8.49566I 0
u = 1.013820 0.596016I
a = 0.319323 0.877338I
b = 0.044267 1.257500I
5.46876 8.49566I 0
u = 1.143690 + 0.299531I
a = 0.440505 1.057300I
b = 0.156788 + 0.246168I
0.33759 1.59921I 0
u = 1.143690 0.299531I
a = 0.440505 + 1.057300I
b = 0.156788 0.246168I
0.33759 + 1.59921I 0
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.792970 + 0.028128I
a = 1.63080 + 1.14695I
b = 0.761979 0.332753I
0.055651 1.025080I 0
u = 0.792970 0.028128I
a = 1.63080 1.14695I
b = 0.761979 + 0.332753I
0.055651 + 1.025080I 0
u = 0.701975 + 0.316328I
a = 1.34520 + 2.03985I
b = 1.129040 0.362789I
0.73218 + 3.31469I 16.3714 + 0.I
u = 0.701975 0.316328I
a = 1.34520 2.03985I
b = 1.129040 + 0.362789I
0.73218 3.31469I 16.3714 + 0.I
u = 0.941953 + 0.814978I
a = 0.944866 0.793598I
b = 0.983548 0.203403I
1.99850 + 5.19152I 0
u = 0.941953 0.814978I
a = 0.944866 + 0.793598I
b = 0.983548 + 0.203403I
1.99850 5.19152I 0
u = 1.209070 + 0.300612I
a = 0.998797 + 0.350910I
b = 0.896155 0.564646I
2.17472 + 2.18644I 0
u = 1.209070 0.300612I
a = 0.998797 0.350910I
b = 0.896155 + 0.564646I
2.17472 2.18644I 0
u = 0.740539
a = 2.67065
b = 0.367890
2.66230 40.8050
u = 0.166582 + 0.708607I
a = 0.177631 0.960047I
b = 0.155641 1.307510I
4.62096 + 0.79242I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.166582 0.708607I
a = 0.177631 + 0.960047I
b = 0.155641 + 1.307510I
4.62096 0.79242I 0
u = 1.152160 + 0.669493I
a = 1.78042 0.06542I
b = 0.527966 + 1.304420I
5.97273 10.27720I 0
u = 1.152160 0.669493I
a = 1.78042 + 0.06542I
b = 0.527966 1.304420I
5.97273 + 10.27720I 0
u = 1.276110 + 0.482569I
a = 1.262800 + 0.386082I
b = 0.402316 1.010560I
0.80090 6.94552I 0
u = 1.276110 0.482569I
a = 1.262800 0.386082I
b = 0.402316 + 1.010560I
0.80090 + 6.94552I 0
u = 1.230320 + 0.645746I
a = 1.020540 0.597940I
b = 0.161300 + 0.801500I
3.32829 9.08172I 0
u = 1.230320 0.645746I
a = 1.020540 + 0.597940I
b = 0.161300 0.801500I
3.32829 + 9.08172I 0
u = 0.573485 + 0.035691I
a = 2.35787 + 1.21094I
b = 0.284286 + 1.263950I
3.22077 4.79890I 6.23305 + 5.71765I
u = 0.573485 0.035691I
a = 2.35787 1.21094I
b = 0.284286 1.263950I
3.22077 + 4.79890I 6.23305 5.71765I
u = 0.502434 + 0.018897I
a = 8.23058 + 0.87421I
b = 0.256837 1.007470I
8.18226 5.75724I 5.27180 + 11.35692I
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.502434 0.018897I
a = 8.23058 0.87421I
b = 0.256837 + 1.007470I
8.18226 + 5.75724I 5.27180 11.35692I
u = 0.459938 + 0.094360I
a = 6.60488 + 2.76128I
b = 0.191058 + 1.178780I
8.92134 3.71447I 0.61599 2.22306I
u = 0.459938 0.094360I
a = 6.60488 2.76128I
b = 0.191058 1.178780I
8.92134 + 3.71447I 0.61599 + 2.22306I
u = 0.393637 + 0.070631I
a = 0.0289937 0.0989117I
b = 0.23322 + 1.52654I
10.43790 + 5.34925I 22.0969 + 9.3400I
u = 0.393637 0.070631I
a = 0.0289937 + 0.0989117I
b = 0.23322 1.52654I
10.43790 5.34925I 22.0969 9.3400I
u = 0.83708 + 1.54095I
a = 0.180013 + 0.316464I
b = 0.61914 + 1.31869I
7.85107 + 3.25445I 0
u = 0.83708 1.54095I
a = 0.180013 0.316464I
b = 0.61914 1.31869I
7.85107 3.25445I 0
u = 1.87683 + 0.40288I
a = 0.249539 0.262492I
b = 0.042217 + 1.054400I
4.96593 + 0.74300I 0
u = 1.87683 0.40288I
a = 0.249539 + 0.262492I
b = 0.042217 1.054400I
4.96593 0.74300I 0
u = 1.41537 + 1.38330I
a = 0.217695 0.033972I
b = 0.043943 1.045900I
4.48266 + 0.35720I 0
32
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.41537 1.38330I
a = 0.217695 + 0.033972I
b = 0.043943 + 1.045900I
4.48266 0.35720I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
51
4u
50
+ ··· + 26u 2)(u
178
11u
177
+ ··· + 484886u + 16630)
c
2
(u
51
3u
50
+ ··· 4u + 1)(u
178
42u
176
+ ··· 9456u 727)
c
3
(u
51
+ 2u
50
+ ··· + 12u 9)(u
178
3u
177
+ ··· 6074908u + 521284)
c
4
(u
51
+ 2u
50
+ ··· + 450u 27)
· (u
178
5u
177
+ ··· 534111527848u + 12234606751)
c
5
(u
51
+ 17u
49
+ ··· + 4u 2)(u
178
+ u
177
+ ··· 79956u 25406)
c
6
(u
51
+ 3u
50
+ ··· 4u 1)(u
178
42u
176
+ ··· 9456u 727)
c
7
(u
51
12u
50
+ ··· 5u + 1)
· (u
178
11u
177
+ ··· + 10511353546u + 2936241116)
c
8
(u
51
u
50
+ ··· 9u + 1)(u
178
+ 4u
177
+ ··· 162199u + 18811)
c
9
(u
51
+ 3u
50
+ ··· + 19u + 1)
· (u
178
+ 10u
177
+ ··· + 51945823u + 3103757)
c
10
(u
51
+ u
50
+ ··· 261u 23)
· (u
178
2u
177
+ ··· + 7464600509u + 1577563033)
c
11
(u
51
+ 17u
49
+ ··· + 4u + 2)(u
178
+ u
177
+ ··· 79956u 25406)
c
12
(u
51
3u
50
+ ··· + 19u 1)
· (u
178
+ 10u
177
+ ··· + 51945823u + 3103757)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
51
4y
50
+ ··· + 128y 4)
· (y
178
37y
177
+ ··· 272210308796y + 276556900)
c
2
, c
6
(y
51
31y
50
+ ··· + 52y 1)
· (y
178
84y
177
+ ··· 43018796y + 528529)
c
3
(y
51
26y
50
+ ··· + 1944y 81)
· (y
178
51y
177
+ ··· 21326040167832y + 271737008656)
c
4
(y
51
+ 32y
50
+ ··· + 18630y 729)
· (y
178
+ 99y
177
+ ··· 4.90 × 10
23
y + 1.50 × 10
20
)
c
5
, c
11
(y
51
+ 34y
50
+ ··· + 36y 4)
· (y
178
+ 121y
177
+ ··· + 19611196928y + 645464836)
c
7
(y
51
+ 4y
50
+ ··· 37y 1)
· (y
178
+ 59y
177
+ ··· + 4.34 × 10
20
y + 8.62 × 10
18
)
c
8
(y
51
13y
50
+ ··· + 47y 1)
· (y
178
26y
177
+ ··· 35205027563y + 353853721)
c
9
, c
12
(y
51
+ 47y
50
+ ··· 25y 1)
· (y
178
+ 150y
177
+ ··· 369428626219007y + 9633307515049)
c
10
(y
51
+ 19y
50
+ ··· + 1513y 529)
· (y
178
+ 62y
177
+ ··· + 6.12 × 10
19
y + 2.49 × 10
18
)
35