12a
0986
(K12a
0986
)
A knot diagram
1
Linearized knot diagam
4 6 11 9 12 10 3 1 2 7 8 5
Solving Sequence
5,9 1,4
2 10 8 12 6 7 11 3
c
4
c
1
c
9
c
8
c
12
c
5
c
6
c
11
c
3
c
2
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.16032 × 10
1762
u
178
+ 3.80838 × 10
1763
u
177
+ ··· + 2.93106 × 10
1765
b + 4.85246 × 10
1767
,
8.04735 × 10
1767
u
178
5.89284 × 10
1768
u
177
+ ··· + 4.20909 × 10
1770
a 4.89264 × 10
1773
,
u
179
6u
178
+ ··· + 3332308u + 143603i
I
u
2
= h1.58028 × 10
71
u
37
1.25122 × 10
72
u
36
+ ··· + 8.18656 × 10
70
b 6.54536 × 10
70
,
1.34545 × 10
71
u
37
+ 1.10860 × 10
72
u
36
+ ··· + 8.18656 × 10
70
a 3.01667 × 10
70
, u
38
8u
37
+ ··· 4u + 1i
I
u
3
= hb 1, a 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 218 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
= h−6.16 × 10
1762
u
178
+ 3.81 × 10
1763
u
177
+ · · · + 2.93 × 10
1765
b +
4.85 × 10
1767
, 8.05 × 10
1767
u
178
5.89 × 10
1768
u
177
+ · · · + 4.21 × 10
1770
a
4.89 × 10
1773
, u
179
6u
178
+ · · · + 3332308u + 143603i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
0.00191189u
178
+ 0.0140002u
177
+ ··· + 25714.7u + 1162.40
0.00210174u
178
0.0129932u
177
+ ··· 2880.36u 165.553
a
4
=
1
u
2
a
2
=
0.00362383u
178
+ 0.0239895u
177
+ ··· + 20442.6u + 964.794
0.00262200u
178
0.0160995u
177
+ ··· 1693.49u 125.000
a
10
=
0.000560316u
178
0.00665043u
177
+ ··· 34425.1u 1510.23
0.000666376u
178
0.00328777u
177
+ ··· + 7566.53u + 313.227
a
8
=
0.00225971u
178
0.0169670u
177
+ ··· 37421.7u 1666.78
0.000291099u
178
0.000834068u
177
+ ··· + 11351.3u + 491.976
a
12
=
0.00401363u
178
+ 0.0269934u
177
+ ··· + 28595.0u + 1327.95
0.00210174u
178
0.0129932u
177
+ ··· 2880.36u 165.553
a
6
=
0.00329141u
178
+ 0.0203786u
177
+ ··· + 4078.11u + 241.868
0.000134538u
178
+ 0.000468165u
177
+ ··· 7028.29u 306.850
a
7
=
0.00230578u
178
0.00747566u
177
+ ··· + 63208.7u + 2747.75
0.0000421842u
178
0.00240519u
177
+ ··· 20941.9u 916.337
a
11
=
0.00816482u
178
0.0435919u
177
+ ··· + 65996.2u + 2760.94
0.00154549u
178
+ 0.00740747u
177
+ ··· 20350.2u 859.050
a
3
=
0.00317833u
178
+ 0.0165419u
177
+ ··· 28787.5u 1172.32
0.000889275u
178
+ 0.00398717u
177
+ ··· 11948.1u 518.874
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.00403368u
178
0.0412426u
177
+ ··· 165161.u 7415.37
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
179
+ 13u
178
+ ··· + 4864u 127
c
2
u
179
+ 2u
178
+ ··· 32727793u 7268479
c
3
u
179
+ 2u
178
+ ··· + 8231201u 980023
c
4
u
179
6u
178
+ ··· + 3332308u + 143603
c
5
, c
12
u
179
+ 4u
178
+ ··· 956262u 23017
c
6
, c
10
u
179
+ u
178
+ ··· 12744u 496
c
7
u
179
6u
178
+ ··· 683u 29
c
8
u
179
5u
178
+ ··· + 1340u + 173
c
9
u
179
14u
178
+ ··· 56730382524u + 17613549763
c
11
u
179
+ 4u
178
+ ··· 2349183u + 256397
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
179
+ y
178
+ ··· + 344852y 16129
c
2
y
179
+ 66y
178
+ ··· 4439617469518745y 52830786973441
c
3
y
179
20y
178
+ ··· + 76198792323071y 960445080529
c
4
y
179
+ 16y
178
+ ··· + 4839426567530y 20621821609
c
5
, c
12
y
179
+ 134y
178
+ ··· 31322218488y 529782289
c
6
, c
10
y
179
127y
178
+ ··· + 4324416y 246016
c
7
y
179
+ 26y
178
+ ··· + 119939y 841
c
8
y
179
+ 5y
178
+ ··· + 505366y 29929
c
9
y
179
82y
178
+ ··· + 2.94 × 10
22
y 3.10 × 10
20
c
11
y
179
+ 2y
178
+ ··· + 106182658357y 65739421609
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.160093 + 0.972700I
a = 0.497860 0.221762I
b = 0.24369 + 1.57387I
9.74999 + 5.34481I 0
u = 0.160093 0.972700I
a = 0.497860 + 0.221762I
b = 0.24369 1.57387I
9.74999 5.34481I 0
u = 0.863307 + 0.475681I
a = 0.928468 0.222692I
b = 0.864974 + 0.099404I
1.89841 + 0.80237I 0
u = 0.863307 0.475681I
a = 0.928468 + 0.222692I
b = 0.864974 0.099404I
1.89841 0.80237I 0
u = 0.227170 + 0.958236I
a = 1.93322 + 0.31633I
b = 0.075295 1.082210I
8.76330 + 0.54002I 0
u = 0.227170 0.958236I
a = 1.93322 0.31633I
b = 0.075295 + 1.082210I
8.76330 0.54002I 0
u = 0.348586 + 0.914122I
a = 0.904818 0.130769I
b = 0.682093 + 0.168984I
5.84833 + 2.26700I 0
u = 0.348586 0.914122I
a = 0.904818 + 0.130769I
b = 0.682093 0.168984I
5.84833 2.26700I 0
u = 0.688741 + 0.761648I
a = 0.793429 + 0.812658I
b = 0.237171 + 0.302856I
0.13597 + 4.18324I 0
u = 0.688741 0.761648I
a = 0.793429 0.812658I
b = 0.237171 0.302856I
0.13597 4.18324I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.586776 + 0.848662I
a = 0.855948 0.230798I
b = 1.075910 0.491601I
5.35007 + 4.67966I 0
u = 0.586776 0.848662I
a = 0.855948 + 0.230798I
b = 1.075910 + 0.491601I
5.35007 4.67966I 0
u = 1.029700 + 0.074717I
a = 0.516386 0.085250I
b = 0.585551 0.946540I
0.19117 4.10195I 0
u = 1.029700 0.074717I
a = 0.516386 + 0.085250I
b = 0.585551 + 0.946540I
0.19117 + 4.10195I 0
u = 0.940780 + 0.190478I
a = 0.530871 0.009582I
b = 0.679166 + 0.453939I
1.47853 + 0.54393I 0
u = 0.940780 0.190478I
a = 0.530871 + 0.009582I
b = 0.679166 0.453939I
1.47853 0.54393I 0
u = 0.764943 + 0.575286I
a = 1.340030 + 0.054344I
b = 0.770866 + 0.090952I
1.56692 + 7.67371I 0
u = 0.764943 0.575286I
a = 1.340030 0.054344I
b = 0.770866 0.090952I
1.56692 7.67371I 0
u = 0.073797 + 0.951967I
a = 0.74633 1.54134I
b = 0.02008 + 1.47450I
9.46264 + 6.62769I 0
u = 0.073797 0.951967I
a = 0.74633 + 1.54134I
b = 0.02008 1.47450I
9.46264 6.62769I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.824716 + 0.644514I
a = 1.70775 0.44370I
b = 0.361480 1.272120I
0.43653 + 7.24900I 0
u = 0.824716 0.644514I
a = 1.70775 + 0.44370I
b = 0.361480 + 1.272120I
0.43653 7.24900I 0
u = 0.776001 + 0.713953I
a = 0.849169 + 0.087983I
b = 1.205560 + 0.550268I
0.561818 + 0.664728I 0
u = 0.776001 0.713953I
a = 0.849169 0.087983I
b = 1.205560 0.550268I
0.561818 0.664728I 0
u = 0.599781 + 0.715422I
a = 0.311755 + 0.775076I
b = 0.0814523 0.1124140I
3.06266 + 0.89643I 0
u = 0.599781 0.715422I
a = 0.311755 0.775076I
b = 0.0814523 + 0.1124140I
3.06266 0.89643I 0
u = 0.212812 + 1.054210I
a = 1.203940 0.064128I
b = 0.500082 1.157870I
9.23720 + 1.61235I 0
u = 0.212812 1.054210I
a = 1.203940 + 0.064128I
b = 0.500082 + 1.157870I
9.23720 1.61235I 0
u = 0.193163 + 0.900694I
a = 1.66089 + 0.96416I
b = 0.239455 1.137520I
6.08490 0.22834I 0
u = 0.193163 0.900694I
a = 1.66089 0.96416I
b = 0.239455 + 1.137520I
6.08490 + 0.22834I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.102826 + 0.911024I
a = 1.282050 + 0.116325I
b = 0.70598 1.37876I
8.2321 11.6976I 0
u = 0.102826 0.911024I
a = 1.282050 0.116325I
b = 0.70598 + 1.37876I
8.2321 + 11.6976I 0
u = 0.830316 + 0.695838I
a = 0.727043 0.294344I
b = 0.673614 + 0.444373I
1.50907 + 0.82449I 0
u = 0.830316 0.695838I
a = 0.727043 + 0.294344I
b = 0.673614 0.444373I
1.50907 0.82449I 0
u = 0.256033 + 0.866301I
a = 0.962825 0.132000I
b = 0.676501 + 1.021890I
6.62253 + 2.55245I 0
u = 0.256033 0.866301I
a = 0.962825 + 0.132000I
b = 0.676501 1.021890I
6.62253 2.55245I 0
u = 0.915606 + 0.613815I
a = 1.019860 + 0.042862I
b = 0.494658 + 1.320780I
2.45085 + 5.31363I 0
u = 0.915606 0.613815I
a = 1.019860 0.042862I
b = 0.494658 1.320780I
2.45085 5.31363I 0
u = 0.768277 + 0.808272I
a = 1.58099 + 0.02550I
b = 0.369712 1.036040I
0.672545 0.169536I 0
u = 0.768277 0.808272I
a = 1.58099 0.02550I
b = 0.369712 + 1.036040I
0.672545 + 0.169536I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.163103 + 0.853775I
a = 0.472117 + 1.142500I
b = 0.027335 1.135330I
3.17479 1.74755I 0
u = 0.163103 0.853775I
a = 0.472117 1.142500I
b = 0.027335 + 1.135330I
3.17479 + 1.74755I 0
u = 0.639061 + 0.587893I
a = 1.325060 0.451588I
b = 0.634750 0.485703I
1.03467 3.77002I 0
u = 0.639061 0.587893I
a = 1.325060 + 0.451588I
b = 0.634750 + 0.485703I
1.03467 + 3.77002I 0
u = 0.877697 + 0.715406I
a = 0.609623 0.059229I
b = 1.347230 0.074470I
0.88251 1.57486I 0
u = 0.877697 0.715406I
a = 0.609623 + 0.059229I
b = 1.347230 + 0.074470I
0.88251 + 1.57486I 0
u = 0.812606 + 0.805228I
a = 0.707262 0.850886I
b = 0.132813 0.364925I
4.76824 9.86796I 0
u = 0.812606 0.805228I
a = 0.707262 + 0.850886I
b = 0.132813 + 0.364925I
4.76824 + 9.86796I 0
u = 0.030914 + 0.850026I
a = 1.44184 0.41331I
b = 0.040538 + 1.166310I
7.37766 + 3.47007I 0
u = 0.030914 0.850026I
a = 1.44184 + 0.41331I
b = 0.040538 1.166310I
7.37766 3.47007I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.505194 + 0.668862I
a = 1.032550 0.146240I
b = 1.48308 0.33304I
2.42701 + 0.79923I 0
u = 0.505194 0.668862I
a = 1.032550 + 0.146240I
b = 1.48308 + 0.33304I
2.42701 0.79923I 0
u = 0.698233 + 0.945327I
a = 0.853474 + 0.250990I
b = 0.893587 0.022074I
0.58797 + 4.89617I 0
u = 0.698233 0.945327I
a = 0.853474 0.250990I
b = 0.893587 + 0.022074I
0.58797 4.89617I 0
u = 0.834787 + 0.828542I
a = 0.897864 + 0.098076I
b = 1.337730 0.113546I
2.36439 8.92822I 0
u = 0.834787 0.828542I
a = 0.897864 0.098076I
b = 1.337730 + 0.113546I
2.36439 + 8.92822I 0
u = 0.790379 + 0.875687I
a = 1.352410 + 0.052564I
b = 0.506007 + 1.045380I
2.14555 + 4.55407I 0
u = 0.790379 0.875687I
a = 1.352410 0.052564I
b = 0.506007 1.045380I
2.14555 4.55407I 0
u = 0.585447 + 0.573438I
a = 0.552705 + 0.603540I
b = 0.362732 0.270376I
1.32808 1.47127I 0
u = 0.585447 0.573438I
a = 0.552705 0.603540I
b = 0.362732 + 0.270376I
1.32808 + 1.47127I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.997414 + 0.657988I
a = 0.057148 0.577116I
b = 0.187606 + 0.345330I
3.54281 + 1.91947I 0
u = 0.997414 0.657988I
a = 0.057148 + 0.577116I
b = 0.187606 0.345330I
3.54281 1.91947I 0
u = 0.686884 + 0.985272I
a = 0.323542 0.286212I
b = 0.317306 0.660641I
1.18591 5.40154I 0
u = 0.686884 0.985272I
a = 0.323542 + 0.286212I
b = 0.317306 + 0.660641I
1.18591 + 5.40154I 0
u = 1.158180 + 0.349051I
a = 0.186684 + 0.320600I
b = 0.209073 + 1.061440I
0.96105 + 2.77423I 0
u = 1.158180 0.349051I
a = 0.186684 0.320600I
b = 0.209073 1.061440I
0.96105 2.77423I 0
u = 0.760355 + 0.951557I
a = 0.908322 0.055771I
b = 0.882253 0.098344I
3.37196 6.50628I 0
u = 0.760355 0.951557I
a = 0.908322 + 0.055771I
b = 0.882253 + 0.098344I
3.37196 + 6.50628I 0
u = 0.549885 + 0.554076I
a = 1.233420 + 0.321718I
b = 0.873176 + 0.431306I
4.12918 + 0.46038I 0
u = 0.549885 0.554076I
a = 1.233420 0.321718I
b = 0.873176 0.431306I
4.12918 0.46038I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.178864 + 0.752610I
a = 1.67611 + 0.14821I
b = 0.462338 + 1.173420I
4.75246 1.54481I 0
u = 0.178864 0.752610I
a = 1.67611 0.14821I
b = 0.462338 1.173420I
4.75246 + 1.54481I 0
u = 0.200263 + 0.731281I
a = 1.304330 0.105083I
b = 0.65375 + 1.47229I
2.80609 + 7.16976I 0
u = 0.200263 0.731281I
a = 1.304330 + 0.105083I
b = 0.65375 1.47229I
2.80609 7.16976I 0
u = 0.830272 + 0.923562I
a = 1.102330 0.171863I
b = 0.814467 0.884213I
3.92574 8.99449I 0
u = 0.830272 0.923562I
a = 1.102330 + 0.171863I
b = 0.814467 + 0.884213I
3.92574 + 8.99449I 0
u = 0.209625 + 0.728236I
a = 1.96239 0.96863I
b = 0.372436 + 1.359620I
6.87153 4.30366I 0
u = 0.209625 0.728236I
a = 1.96239 + 0.96863I
b = 0.372436 1.359620I
6.87153 + 4.30366I 0
u = 0.833955 + 0.923717I
a = 0.889138 0.119543I
b = 1.286160 + 0.053699I
2.6444 + 14.9286I 0
u = 0.833955 0.923717I
a = 0.889138 + 0.119543I
b = 1.286160 0.053699I
2.6444 14.9286I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.778610 + 0.973425I
a = 0.037400 + 0.233340I
b = 0.261633 + 0.643199I
1.93607 + 1.35235I 0
u = 0.778610 0.973425I
a = 0.037400 0.233340I
b = 0.261633 0.643199I
1.93607 1.35235I 0
u = 0.478419 + 1.159430I
a = 0.716340 0.504402I
b = 0.769362 + 0.163942I
2.11487 5.21570I 0
u = 0.478419 1.159430I
a = 0.716340 + 0.504402I
b = 0.769362 0.163942I
2.11487 + 5.21570I 0
u = 0.207889 + 0.713914I
a = 1.72989 + 1.73093I
b = 0.024620 1.340490I
4.44495 1.81498I 0
u = 0.207889 0.713914I
a = 1.72989 1.73093I
b = 0.024620 + 1.340490I
4.44495 + 1.81498I 0
u = 0.714841 + 1.033450I
a = 0.500873 0.521611I
b = 0.314896 0.564591I
4.19245 + 2.74490I 0
u = 0.714841 1.033450I
a = 0.500873 + 0.521611I
b = 0.314896 + 0.564591I
4.19245 2.74490I 0
u = 0.889537 + 0.918502I
a = 1.049510 + 0.121298I
b = 0.471707 1.329920I
2.47079 5.72434I 0
u = 0.889537 0.918502I
a = 1.049510 0.121298I
b = 0.471707 + 1.329920I
2.47079 + 5.72434I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.526664 + 0.464979I
a = 0.34088 + 1.64668I
b = 0.549169 0.227075I
2.48389 + 2.59715I 0
u = 0.526664 0.464979I
a = 0.34088 1.64668I
b = 0.549169 + 0.227075I
2.48389 2.59715I 0
u = 0.555438 + 0.402882I
a = 1.84210 0.20467I
b = 0.718058 0.085859I
4.17872 3.24163I 0
u = 0.555438 0.402882I
a = 1.84210 + 0.20467I
b = 0.718058 + 0.085859I
4.17872 + 3.24163I 0
u = 0.068096 + 0.666391I
a = 2.28793 + 2.33841I
b = 0.185761 1.134860I
7.14233 + 11.57710I 0
u = 0.068096 0.666391I
a = 2.28793 2.33841I
b = 0.185761 + 1.134860I
7.14233 11.57710I 0
u = 1.015180 + 0.873522I
a = 1.288660 + 0.207699I
b = 0.406918 + 1.260950I
2.08717 12.02360I 0
u = 1.015180 0.873522I
a = 1.288660 0.207699I
b = 0.406918 1.260950I
2.08717 + 12.02360I 0
u = 0.022859 + 0.659179I
a = 2.47200 + 0.40487I
b = 0.372992 1.220430I
7.40547 + 0.57805I 0
u = 0.022859 0.659179I
a = 2.47200 0.40487I
b = 0.372992 + 1.220430I
7.40547 0.57805I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.048055 + 0.652340I
a = 2.60598 1.76336I
b = 0.191187 + 1.143260I
2.41113 6.11278I 0
u = 0.048055 0.652340I
a = 2.60598 + 1.76336I
b = 0.191187 1.143260I
2.41113 + 6.11278I 0
u = 0.707221 + 1.154200I
a = 0.154817 0.618372I
b = 0.591930 + 0.497062I
1.58908 + 2.85999I 0
u = 0.707221 1.154200I
a = 0.154817 + 0.618372I
b = 0.591930 0.497062I
1.58908 2.85999I 0
u = 0.917364 + 1.013270I
a = 0.347413 + 0.657807I
b = 0.663798 0.433140I
2.70586 8.47057I 0
u = 0.917364 1.013270I
a = 0.347413 0.657807I
b = 0.663798 + 0.433140I
2.70586 + 8.47057I 0
u = 0.927664 + 1.004460I
a = 0.577050 + 0.308715I
b = 0.776435 0.996279I
0.06821 5.05747I 0
u = 0.927664 1.004460I
a = 0.577050 0.308715I
b = 0.776435 + 0.996279I
0.06821 + 5.05747I 0
u = 0.245062 + 0.579462I
a = 3.67087 0.02131I
b = 0.040610 + 1.052940I
4.17418 0.33308I 0
u = 0.245062 0.579462I
a = 3.67087 + 0.02131I
b = 0.040610 1.052940I
4.17418 + 0.33308I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.868708 + 1.063090I
a = 0.640306 + 0.256969I
b = 1.027020 0.195423I
0.36610 + 5.45734I 0
u = 0.868708 1.063090I
a = 0.640306 0.256969I
b = 1.027020 + 0.195423I
0.36610 5.45734I 0
u = 0.619952 + 0.045093I
a = 0.03036 + 1.41390I
b = 0.235997 0.092149I
1.23428 1.94780I 0
u = 0.619952 0.045093I
a = 0.03036 1.41390I
b = 0.235997 + 0.092149I
1.23428 + 1.94780I 0
u = 0.151428 + 0.596501I
a = 0.482224 0.229925I
b = 0.52984 + 1.99627I
7.85639 7.09052I 0
u = 0.151428 0.596501I
a = 0.482224 + 0.229925I
b = 0.52984 1.99627I
7.85639 + 7.09052I 0
u = 0.594618 + 0.119364I
a = 0.10329 + 2.87694I
b = 0.112042 + 1.045700I
4.08515 + 0.25044I 0
u = 0.594618 0.119364I
a = 0.10329 2.87694I
b = 0.112042 1.045700I
4.08515 0.25044I 0
u = 0.056666 + 0.600305I
a = 0.895367 + 0.757269I
b = 0.67891 1.49549I
2.14404 + 0.79987I 0
u = 0.056666 0.600305I
a = 0.895367 0.757269I
b = 0.67891 + 1.49549I
2.14404 0.79987I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.593887 + 1.272390I
a = 1.231230 + 0.507892I
b = 0.42265 1.37452I
6.90638 + 9.70537I 0
u = 0.593887 1.272390I
a = 1.231230 0.507892I
b = 0.42265 + 1.37452I
6.90638 9.70537I 0
u = 0.58949 + 1.29030I
a = 1.155590 0.299227I
b = 0.086537 + 1.045290I
7.02019 4.73556I 0
u = 0.58949 1.29030I
a = 1.155590 + 0.299227I
b = 0.086537 1.045290I
7.02019 + 4.73556I 0
u = 0.096241 + 0.556917I
a = 0.18416 3.49270I
b = 0.17002 + 1.42553I
7.78381 5.08706I 0
u = 0.096241 0.556917I
a = 0.18416 + 3.49270I
b = 0.17002 1.42553I
7.78381 + 5.08706I 0
u = 0.88499 + 1.19709I
a = 1.044950 + 0.081648I
b = 0.65855 1.47534I
6.56185 8.48761I 0
u = 0.88499 1.19709I
a = 1.044950 0.081648I
b = 0.65855 + 1.47534I
6.56185 + 8.48761I 0
u = 0.502578 + 0.029572I
a = 0.587731 + 0.819387I
b = 0.923361 + 1.048100I
3.18892 + 0.13773I 0
u = 0.502578 0.029572I
a = 0.587731 0.819387I
b = 0.923361 1.048100I
3.18892 0.13773I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.82549 + 1.25389I
a = 1.115040 0.213766I
b = 0.468214 + 1.319910I
3.57182 9.85619I 0
u = 0.82549 1.25389I
a = 1.115040 + 0.213766I
b = 0.468214 1.319910I
3.57182 + 9.85619I 0
u = 0.374800 + 0.292914I
a = 6.13466 3.18111I
b = 0.054068 + 0.996470I
4.99300 0.33552I 27.2414 41.7810I
u = 0.374800 0.292914I
a = 6.13466 + 3.18111I
b = 0.054068 0.996470I
4.99300 + 0.33552I 27.2414 + 41.7810I
u = 0.77045 + 1.32923I
a = 0.893629 0.033316I
b = 0.548137 + 1.230160I
8.72545 7.23788I 0
u = 0.77045 1.32923I
a = 0.893629 + 0.033316I
b = 0.548137 1.230160I
8.72545 + 7.23788I 0
u = 0.92726 + 1.28543I
a = 1.024210 0.130374I
b = 0.58001 + 1.44025I
2.4722 + 15.4837I 0
u = 0.92726 1.28543I
a = 1.024210 + 0.130374I
b = 0.58001 1.44025I
2.4722 15.4837I 0
u = 1.17680 + 1.06498I
a = 0.490988 0.065967I
b = 0.664865 1.096620I
1.74065 + 6.08639I 0
u = 1.17680 1.06498I
a = 0.490988 + 0.065967I
b = 0.664865 + 1.096620I
1.74065 6.08639I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.310053 + 0.263275I
a = 0.31163 1.92118I
b = 0.133198 1.307840I
3.42587 5.39201I 2.05136 + 9.05405I
u = 0.310053 0.263275I
a = 0.31163 + 1.92118I
b = 0.133198 + 1.307840I
3.42587 + 5.39201I 2.05136 9.05405I
u = 0.32202 + 1.57783I
a = 0.363831 + 0.860317I
b = 0.119673 1.014670I
1.93093 + 7.12112I 0
u = 0.32202 1.57783I
a = 0.363831 0.860317I
b = 0.119673 + 1.014670I
1.93093 7.12112I 0
u = 0.077935 + 0.377163I
a = 0.843812 + 0.140353I
b = 0.16952 2.67977I
3.36973 0.05585I 2.6990 34.3862I
u = 0.077935 0.377163I
a = 0.843812 0.140353I
b = 0.16952 + 2.67977I
3.36973 + 0.05585I 2.6990 + 34.3862I
u = 0.92363 + 1.33176I
a = 1.031020 + 0.147555I
b = 0.57969 1.42037I
7.2659 21.3644I 0
u = 0.92363 1.33176I
a = 1.031020 0.147555I
b = 0.57969 + 1.42037I
7.2659 + 21.3644I 0
u = 0.77203 + 1.44418I
a = 0.887214 0.426998I
b = 0.52175 + 1.41477I
4.62617 11.08030I 0
u = 0.77203 1.44418I
a = 0.887214 + 0.426998I
b = 0.52175 1.41477I
4.62617 + 11.08030I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.87994 + 1.38732I
a = 0.807919 + 0.228085I
b = 0.59381 1.33204I
3.02264 + 8.05656I 0
u = 0.87994 1.38732I
a = 0.807919 0.228085I
b = 0.59381 + 1.33204I
3.02264 8.05656I 0
u = 0.95370 + 1.33962I
a = 1.018510 + 0.086896I
b = 0.486965 1.275330I
7.03458 + 11.51160I 0
u = 0.95370 1.33962I
a = 1.018510 0.086896I
b = 0.486965 + 1.275330I
7.03458 11.51160I 0
u = 0.11589 + 1.66220I
a = 0.053249 0.729882I
b = 0.132085 + 0.983979I
1.25928 3.20214I 0
u = 0.11589 1.66220I
a = 0.053249 + 0.729882I
b = 0.132085 0.983979I
1.25928 + 3.20214I 0
u = 1.57651 + 0.57677I
a = 0.047699 0.384593I
b = 0.336148 0.994125I
4.57155 + 0.66290I 0
u = 1.57651 0.57677I
a = 0.047699 + 0.384593I
b = 0.336148 + 0.994125I
4.57155 0.66290I 0
u = 0.96790 + 1.37986I
a = 0.775609 + 0.061189I
b = 0.27393 1.40481I
6.16921 5.17837I 0
u = 0.96790 1.37986I
a = 0.775609 0.061189I
b = 0.27393 + 1.40481I
6.16921 + 5.17837I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.83824 + 1.47663I
a = 0.722373 0.134243I
b = 0.321672 + 1.368770I
11.24820 0.45268I 0
u = 0.83824 1.47663I
a = 0.722373 + 0.134243I
b = 0.321672 1.368770I
11.24820 + 0.45268I 0
u = 1.15676 + 1.25806I
a = 0.647712 0.164410I
b = 0.062926 1.039870I
2.71036 + 2.84323I 0
u = 1.15676 1.25806I
a = 0.647712 + 0.164410I
b = 0.062926 + 1.039870I
2.71036 2.84323I 0
u = 0.46140 + 1.73293I
a = 0.0633685 + 0.1068600I
b = 0.055244 1.113700I
2.70384 1.58733I 0
u = 0.46140 1.73293I
a = 0.0633685 0.1068600I
b = 0.055244 + 1.113700I
2.70384 + 1.58733I 0
u = 1.08708 + 1.48110I
a = 0.697954 0.022329I
b = 0.245406 + 1.338960I
10.3414 + 11.5088I 0
u = 1.08708 1.48110I
a = 0.697954 + 0.022329I
b = 0.245406 1.338960I
10.3414 11.5088I 0
u = 1.83664 + 0.43092I
a = 0.111631 + 0.222303I
b = 0.413025 + 1.029520I
0.03047 6.88807I 0
u = 1.83664 0.43092I
a = 0.111631 0.222303I
b = 0.413025 1.029520I
0.03047 + 6.88807I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.87599 + 0.42811I
a = 0.166649 0.224487I
b = 0.407132 1.038160I
4.49649 + 12.60060I 0
u = 1.87599 0.42811I
a = 0.166649 + 0.224487I
b = 0.407132 + 1.038160I
4.49649 12.60060I 0
u = 0.0586417
a = 4.90444
b = 1.35371
2.62611 31.0140
u = 0.93568 + 1.71441I
a = 0.225535 + 0.256238I
b = 0.039317 0.849692I
3.47794 + 0.87367I 0
u = 0.93568 1.71441I
a = 0.225535 0.256238I
b = 0.039317 + 0.849692I
3.47794 0.87367I 0
u = 2.31413 + 1.11090I
a = 0.0749392 0.0682635I
b = 0.015021 + 0.889766I
3.75225 + 2.03920I 0
u = 2.31413 1.11090I
a = 0.0749392 + 0.0682635I
b = 0.015021 0.889766I
3.75225 2.03920I 0
u = 3.91767 + 0.70198I
a = 0.0706944 + 0.1039240I
b = 0.019704 + 1.027180I
3.09178 2.18952I 0
u = 3.91767 0.70198I
a = 0.0706944 0.1039240I
b = 0.019704 1.027180I
3.09178 + 2.18952I 0
22
II.
I
u
2
= h1.58×10
71
u
37
1.25×10
72
u
36
+· · ·+8.19×10
70
b6.55×10
70
, 1.35×
10
71
u
37
+1.11×10
72
u
36
+· · ·+8.19×10
70
a3.02×10
70
, u
38
8u
37
+· · ·4u+1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1.64349u
37
13.5417u
36
+ ··· + 1.03312u + 0.368491
1.93034u
37
+ 15.2839u
36
+ ··· 5.32918u + 0.799526
a
4
=
1
u
2
a
2
=
3.26961u
37
26.2052u
36
+ ··· + 3.14344u 0.0371895
2.11807u
37
+ 16.8562u
36
+ ··· 5.57329u + 0.454021
a
10
=
2.87101u
37
24.5884u
36
+ ··· + 27.5334u 6.19063
0.784995u
37
+ 6.17897u
36
+ ··· 11.1310u + 2.89463
a
8
=
2.22850u
37
20.5639u
36
+ ··· + 27.2838u 5.09724
0.648913u
37
+ 5.81913u
36
+ ··· 9.64312u + 2.55500
a
12
=
3.57382u
37
28.8256u
36
+ ··· + 6.36231u 0.431035
1.93034u
37
+ 15.2839u
36
+ ··· 5.32918u + 0.799526
a
6
=
4.30151u
37
+ 33.5288u
36
+ ··· 21.7994u + 0.0353414
1.74650u
37
13.7377u
36
+ ··· + 19.1692u + 0.541545
a
7
=
4.99146u
37
43.0794u
36
+ ··· + 20.5050u 2.52432
2.57492u
37
+ 21.4871u
36
+ ··· 4.90306u + 0.527884
a
11
=
0.629193u
37
3.70851u
36
+ ··· 14.8538u + 3.11572
0.359359u
37
+ 2.54301u
36
+ ··· + 7.29273u 2.20513
a
3
=
0.305849u
37
+ 3.38368u
36
+ ··· 2.87194u + 0.271626
0.801193u
37
7.08422u
36
+ ··· + 4.18892u 0.399891
(ii) Obstruction class = 1
(iii) Cusp Shapes = 19.9303u
37
151.137u
36
+ ··· + 248.488u 16.0742
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
38
10u
37
+ ··· + 4u + 1
c
2
u
38
u
37
+ ··· 5u + 1
c
3
u
38
+ u
37
+ ··· 5u + 1
c
4
u
38
8u
37
+ ··· 4u + 1
c
5
u
38
2u
37
+ ··· + 22u + 7
c
6
u
38
+ u
37
+ ··· 56u + 16
c
7
u
38
+ 6u
36
+ ··· 11u + 1
c
8
u
38
3u
37
+ ··· + 2u + 1
c
9
u
38
+ 2u
37
+ ··· + 24u + 1
c
10
u
38
u
37
+ ··· + 56u + 16
c
11
u
38
+ 8u
37
+ ··· + 171u + 17
c
12
u
38
+ 2u
37
+ ··· 22u + 7
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
+ 4y
37
+ ··· 20y + 1
c
2
y
38
+ 29y
37
+ ··· + 61y + 1
c
3
y
38
+ 3y
37
+ ··· 39y + 1
c
4
y
38
22y
37
+ ··· + 10y + 1
c
5
, c
12
y
38
+ 36y
37
+ ··· + 216y + 49
c
6
, c
10
y
38
25y
37
+ ··· 2752y + 256
c
7
y
38
+ 12y
37
+ ··· + 9y + 1
c
8
y
38
9y
37
+ ··· + 2y + 1
c
9
y
38
16y
37
+ ··· 440y + 1
c
11
y
38
+ 24y
37
+ ··· 1565y + 289
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.204749 + 0.909214I
a = 1.78827 + 0.14528I
b = 0.449564 + 1.059010I
8.02956 1.85167I 5.24228 + 5.42371I
u = 0.204749 0.909214I
a = 1.78827 0.14528I
b = 0.449564 1.059010I
8.02956 + 1.85167I 5.24228 5.42371I
u = 1.028090 + 0.344457I
a = 0.232436 + 1.085050I
b = 0.385102 + 0.996492I
5.49448 + 11.56310I 2.83282 8.67252I
u = 1.028090 0.344457I
a = 0.232436 1.085050I
b = 0.385102 0.996492I
5.49448 11.56310I 2.83282 + 8.67252I
u = 0.865563 + 0.663778I
a = 0.634167 + 0.144459I
b = 1.110570 + 0.197533I
0.30442 1.50701I 2.05180 + 3.87131I
u = 0.865563 0.663778I
a = 0.634167 0.144459I
b = 1.110570 0.197533I
0.30442 + 1.50701I 2.05180 3.87131I
u = 1.073640 + 0.352329I
a = 0.459965 0.791107I
b = 0.435813 1.094870I
0.77066 6.37758I 0. + 8.08386I
u = 1.073640 0.352329I
a = 0.459965 + 0.791107I
b = 0.435813 + 1.094870I
0.77066 + 6.37758I 0. 8.08386I
u = 0.776437
a = 0.938636
b = 1.14051
2.74871 16.9200
u = 0.695038 + 0.327857I
a = 0.165897 + 1.123930I
b = 0.239946 0.373538I
1.53249 2.67857I 1.89991 + 8.49360I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.695038 0.327857I
a = 0.165897 1.123930I
b = 0.239946 + 0.373538I
1.53249 + 2.67857I 1.89991 8.49360I
u = 0.458761 + 1.156150I
a = 0.636440 + 0.663107I
b = 0.283339 0.081277I
0.27791 + 6.52604I 3.15646 7.77679I
u = 0.458761 1.156150I
a = 0.636440 0.663107I
b = 0.283339 + 0.081277I
0.27791 6.52604I 3.15646 + 7.77679I
u = 1.242210 + 0.517718I
a = 0.165463 0.500462I
b = 0.127843 0.831350I
4.12399 1.55778I 5.93447 + 5.13589I
u = 1.242210 0.517718I
a = 0.165463 + 0.500462I
b = 0.127843 + 0.831350I
4.12399 + 1.55778I 5.93447 5.13589I
u = 1.052330 + 0.853432I
a = 0.733283 0.010774I
b = 0.600918 1.257880I
1.02538 5.99163I 0. + 7.92953I
u = 1.052330 0.853432I
a = 0.733283 + 0.010774I
b = 0.600918 + 1.257880I
1.02538 + 5.99163I 0. 7.92953I
u = 0.160413 + 1.349180I
a = 0.266286 0.615270I
b = 0.135096 + 0.418009I
2.51426 2.33139I 9.66934 + 0.I
u = 0.160413 1.349180I
a = 0.266286 + 0.615270I
b = 0.135096 0.418009I
2.51426 + 2.33139I 9.66934 + 0.I
u = 0.171613 + 0.604546I
a = 2.50433 + 0.51556I
b = 0.208826 1.227440I
4.31750 + 0.99046I 0.76260 1.97468I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.171613 0.604546I
a = 2.50433 0.51556I
b = 0.208826 + 1.227440I
4.31750 0.99046I 0.76260 + 1.97468I
u = 0.055688 + 0.605899I
a = 0.56739 3.00965I
b = 0.21044 + 1.43895I
7.86122 + 4.90605I 16.6138 + 10.4274I
u = 0.055688 0.605899I
a = 0.56739 + 3.00965I
b = 0.21044 1.43895I
7.86122 4.90605I 16.6138 10.4274I
u = 0.221385 + 0.562329I
a = 0.30435 + 4.16979I
b = 0.068619 1.023190I
4.85494 + 0.40632I 4.67568 + 4.91656I
u = 0.221385 0.562329I
a = 0.30435 4.16979I
b = 0.068619 + 1.023190I
4.85494 0.40632I 4.67568 4.91656I
u = 0.79149 + 1.18599I
a = 1.127900 + 0.139070I
b = 0.58977 1.32954I
5.82603 + 8.34603I 0
u = 0.79149 1.18599I
a = 1.127900 0.139070I
b = 0.58977 + 1.32954I
5.82603 8.34603I 0
u = 0.212844 + 0.504832I
a = 0.251578 0.963383I
b = 0.29986 + 1.85389I
7.53748 7.08350I 7.07553 + 8.62911I
u = 0.212844 0.504832I
a = 0.251578 + 0.963383I
b = 0.29986 1.85389I
7.53748 + 7.08350I 7.07553 8.62911I
u = 0.87629 + 1.22990I
a = 0.587209 + 0.289366I
b = 0.821333 0.602971I
0.01154 + 6.26641I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.87629 1.22990I
a = 0.587209 0.289366I
b = 0.821333 + 0.602971I
0.01154 6.26641I 0
u = 0.478297
a = 1.10727
b = 1.25826
2.76870 25.8350
u = 0.77644 + 1.35130I
a = 1.029000 0.374282I
b = 0.44863 + 1.35140I
5.15861 10.58670I 0
u = 0.77644 1.35130I
a = 1.029000 + 0.374282I
b = 0.44863 1.35140I
5.15861 + 10.58670I 0
u = 0.251967 + 0.236557I
a = 0.825338 0.125899I
b = 1.19548 2.35726I
3.29603 + 0.06282I 26.2538 + 106.0848I
u = 0.251967 0.236557I
a = 0.825338 + 0.125899I
b = 1.19548 + 2.35726I
3.29603 0.06282I 26.2538 106.0848I
u = 3.75891 + 0.47701I
a = 0.0012274 0.1379670I
b = 0.013523 1.031030I
3.05533 + 2.14926I 0
u = 3.75891 0.47701I
a = 0.0012274 + 0.1379670I
b = 0.013523 + 1.031030I
3.05533 2.14926I 0
31
III. I
u
3
= hb 1, a 1, u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
1
a
1
=
1
1
a
4
=
1
1
a
2
=
1
1
a
10
=
1
0
a
8
=
1
0
a
12
=
0
1
a
6
=
1
1
a
7
=
2
1
a
11
=
1
1
a
3
=
3
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
c
2
, c
3
u 2
c
4
, c
8
, c
9
c
11
u + 1
c
5
, c
6
, c
7
c
10
, c
12
u 1
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
c
2
, c
3
y 4
c
4
, c
5
, c
6
c
7
, c
8
, c
9
c
10
, c
11
, c
12
y 1
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
1(vol +
1CS) Cusp shape
u = 1.00000
a = 1.00000
b = 1.00000
1.64493 6.00000
35
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u
38
10u
37
+ ··· + 4u + 1)(u
179
+ 13u
178
+ ··· + 4864u 127)
c
2
(u 2)(u
38
u
37
+ ··· 5u + 1)
· (u
179
+ 2u
178
+ ··· 32727793u 7268479)
c
3
(u 2)(u
38
+ u
37
+ ··· 5u + 1)
· (u
179
+ 2u
178
+ ··· + 8231201u 980023)
c
4
(u + 1)(u
38
8u
37
+ ··· 4u + 1)
· (u
179
6u
178
+ ··· + 3332308u + 143603)
c
5
(u 1)(u
38
2u
37
+ ··· + 22u + 7)
· (u
179
+ 4u
178
+ ··· 956262u 23017)
c
6
(u 1)(u
38
+ u
37
+ ··· 56u + 16)(u
179
+ u
178
+ ··· 12744u 496)
c
7
(u 1)(u
38
+ 6u
36
+ ··· 11u + 1)(u
179
6u
178
+ ··· 683u 29)
c
8
(u + 1)(u
38
3u
37
+ ··· + 2u + 1)(u
179
5u
178
+ ··· + 1340u + 173)
c
9
(u + 1)(u
38
+ 2u
37
+ ··· + 24u + 1)
· (u
179
14u
178
+ ··· 56730382524u + 17613549763)
c
10
(u 1)(u
38
u
37
+ ··· + 56u + 16)(u
179
+ u
178
+ ··· 12744u 496)
c
11
(u + 1)(u
38
+ 8u
37
+ ··· + 171u + 17)
· (u
179
+ 4u
178
+ ··· 2349183u + 256397)
c
12
(u 1)(u
38
+ 2u
37
+ ··· 22u + 7)
· (u
179
+ 4u
178
+ ··· 956262u 23017)
36
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y(y
38
+ 4y
37
+ ··· 20y + 1)(y
179
+ y
178
+ ··· + 344852y 16129)
c
2
(y 4)(y
38
+ 29y
37
+ ··· + 61y + 1)
· (y
179
+ 66y
178
+ ··· 4439617469518745y 52830786973441)
c
3
(y 4)(y
38
+ 3y
37
+ ··· 39y + 1)
· (y
179
20y
178
+ ··· + 76198792323071y 960445080529)
c
4
(y 1)(y
38
22y
37
+ ··· + 10y + 1)
· (y
179
+ 16y
178
+ ··· + 4839426567530y 20621821609)
c
5
, c
12
(y 1)(y
38
+ 36y
37
+ ··· + 216y + 49)
· (y
179
+ 134y
178
+ ··· 31322218488y 529782289)
c
6
, c
10
(y 1)(y
38
25y
37
+ ··· 2752y + 256)
· (y
179
127y
178
+ ··· + 4324416y 246016)
c
7
(y 1)(y
38
+ 12y
37
+ ··· + 9y + 1)
· (y
179
+ 26y
178
+ ··· + 119939y 841)
c
8
(y 1)(y
38
9y
37
+ ··· + 2y + 1)
· (y
179
+ 5y
178
+ ··· + 505366y 29929)
c
9
(y 1)(y
38
16y
37
+ ··· 440y + 1)
· (y
179
82y
178
+ ··· + 2.94 × 10
22
y 3.10 × 10
20
)
c
11
(y 1)(y
38
+ 24y
37
+ ··· 1565y + 289)
· (y
179
+ 2y
178
+ ··· + 106182658357y 65739421609)
37