12a
0866
(K12a
0866
)
A knot diagram
1
Linearized knot diagam
4 6 7 8 10 11 1 5 12 2 3 9
Solving Sequence
5,9
8
1,4
2 7 3 12 10 6 11
c
8
c
4
c
1
c
7
c
3
c
12
c
9
c
5
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.24767 × 10
1341
u
187
6.06121 × 10
1341
u
186
+ ··· + 1.20162 × 10
1340
b 1.42251 × 10
1344
,
1.08645 × 10
1344
u
187
+ 5.42636 × 10
1344
u
186
+ ··· + 1.18840 × 10
1343
a + 1.08070 × 10
1347
,
u
188
4u
187
+ ··· + 7531u 989i
I
u
2
= h5.47253 × 10
48
u
40
+ 2.46107 × 10
49
u
39
+ ··· + 2.70094 × 10
48
b 2.27197 × 10
49
,
5.87231 × 10
49
u
40
+ 3.06842 × 10
50
u
39
+ ··· + 1.35047 × 10
49
a + 1.26775 × 10
50
, u
41
+ 5u
40
+ ··· + 17u 5i
* 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
= h1.25 × 10
1341
u
187
6.06 × 10
1341
u
186
+ · · · + 1.20 × 10
1340
b 1.42 ×
10
1344
, 1.09 × 10
1344
u
187
+ 5.43 × 10
1344
u
186
+ · · · + 1.19 × 10
1343
a +
1.08 × 10
1347
, u
188
4u
187
+ · · · + 7531u 989i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
9.14209u
187
45.6610u
186
+ ··· + 77974.1u 9093.73
10.3833u
187
+ 50.4421u
186
+ ··· 103634.u + 11838.3
a
4
=
u
u
3
+ u
a
2
=
16.1336u
187
79.2255u
186
+ ··· + 152087.u 17506.2
13.0510u
187
+ 63.5393u
186
+ ··· 128670.u + 14714.0
a
7
=
4.81314u
187
19.8634u
186
+ ··· + 85954.6u 9389.88
27.3580u
187
+ 135.878u
186
+ ··· 241043.u + 27898.5
a
3
=
91.1154u
187
+ 440.842u
186
+ ··· 922623.u + 105239.
29.3795u
187
+ 141.566u
186
+ ··· 304669.u + 34670.2
a
12
=
19.5253u
187
96.1031u
186
+ ··· + 181608.u 20932.0
10.3833u
187
+ 50.4421u
186
+ ··· 103634.u + 11838.3
a
10
=
26.9895u
187
+ 133.796u
186
+ ··· 240679.u + 27819.1
32.6104u
187
161.781u
186
+ ··· + 288032.u 33339.2
a
6
=
7.02113u
187
+ 30.1516u
186
+ ··· 112632.u + 12396.8
35.4198u
187
173.953u
186
+ ··· + 332397.u 38206.8
a
11
=
28.6648u
187
+ 141.794u
186
+ ··· 257959.u + 29772.2
8.27554u
187
41.9809u
186
+ ··· + 63753.9u 7503.36
(ii) Obstruction class = 1
(iii) Cusp Shapes = 481.352u
187
+ 2357.49u
186
+ ··· 4.57027 × 10
6
u + 524827.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
188
+ 6u
187
+ ··· 20266u + 1447
c
2
u
188
10u
187
+ ··· + 235u + 43
c
3
u
188
2u
187
+ ··· + 2896580u 507209
c
4
, c
8
u
188
+ 4u
187
+ ··· 7531u 989
c
5
u
188
+ 2u
187
+ ··· + 11973792223u + 765934129
c
6
u
188
+ u
187
+ ··· + 7u + 1
c
7
u
188
+ 3u
187
+ ··· 30u + 1
c
9
, c
12
u
188
7u
187
+ ··· + 192850u + 10363
c
10
u
188
+ 6u
187
+ ··· + 410u 76
c
11
u
188
u
187
+ ··· + 41u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
188
+ 40y
187
+ ··· 47377738y + 2093809
c
2
y
188
+ 8y
187
+ ··· 114049y + 1849
c
3
y
188
58y
187
+ ··· + 8743433592384y + 257260969681
c
4
, c
8
y
188
128y
187
+ ··· 18934183y + 978121
c
5
y
188
48y
187
+ ··· + 2.08 × 10
18
y + 5.87 × 10
17
c
6
y
188
27y
187
+ ··· + 57y + 1
c
7
y
188
+ 5y
187
+ ··· 2302y + 1
c
9
, c
12
y
188
+ 125y
187
+ ··· 9867145482y + 107391769
c
10
y
188
+ 22y
187
+ ··· 151228y + 5776
c
11
y
188
+ 29y
187
+ ··· 229y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.932910 + 0.374890I
a = 1.93328 + 0.53959I
b = 1.123310 0.276983I
0.26621 + 1.83399I 0
u = 0.932910 0.374890I
a = 1.93328 0.53959I
b = 1.123310 + 0.276983I
0.26621 1.83399I 0
u = 0.996598 + 0.144886I
a = 2.37463 0.07204I
b = 0.661471 + 1.177300I
1.61320 3.13498I 0
u = 0.996598 0.144886I
a = 2.37463 + 0.07204I
b = 0.661471 1.177300I
1.61320 + 3.13498I 0
u = 0.800663 + 0.583733I
a = 1.197290 + 0.283815I
b = 0.082533 + 0.797857I
2.64474 0.80224I 0
u = 0.800663 0.583733I
a = 1.197290 0.283815I
b = 0.082533 0.797857I
2.64474 + 0.80224I 0
u = 0.280613 + 0.974237I
a = 0.195986 + 0.061527I
b = 0.297082 1.268980I
4.21564 + 6.12609I 0
u = 0.280613 0.974237I
a = 0.195986 0.061527I
b = 0.297082 + 1.268980I
4.21564 6.12609I 0
u = 0.953703 + 0.344085I
a = 2.58886 0.58396I
b = 0.191327 + 0.971063I
0.56636 3.02247I 0
u = 0.953703 0.344085I
a = 2.58886 + 0.58396I
b = 0.191327 0.971063I
0.56636 + 3.02247I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.172844 + 0.966991I
a = 0.0155280 0.0442956I
b = 0.626328 + 0.656072I
0.12719 4.04432I 0
u = 0.172844 0.966991I
a = 0.0155280 + 0.0442956I
b = 0.626328 0.656072I
0.12719 + 4.04432I 0
u = 0.736916 + 0.723769I
a = 0.000229 0.277822I
b = 0.366600 1.164660I
4.93759 + 1.08711I 0
u = 0.736916 0.723769I
a = 0.000229 + 0.277822I
b = 0.366600 + 1.164660I
4.93759 1.08711I 0
u = 0.609610 + 0.748627I
a = 0.262180 + 0.497281I
b = 0.497626 + 1.308700I
3.68931 + 7.69977I 0
u = 0.609610 0.748627I
a = 0.262180 0.497281I
b = 0.497626 1.308700I
3.68931 7.69977I 0
u = 1.038000 + 0.080493I
a = 2.46547 + 0.95386I
b = 0.179638 1.089340I
0.30068 2.24515I 0
u = 1.038000 0.080493I
a = 2.46547 0.95386I
b = 0.179638 + 1.089340I
0.30068 + 2.24515I 0
u = 0.953690 + 0.069302I
a = 2.55229 + 2.99071I
b = 0.062350 + 0.903689I
0.07109 + 1.84615I 0
u = 0.953690 0.069302I
a = 2.55229 2.99071I
b = 0.062350 0.903689I
0.07109 1.84615I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.247844 + 0.918350I
a = 0.171410 + 0.124767I
b = 0.380055 1.188200I
5.72199 3.82704I 0
u = 0.247844 0.918350I
a = 0.171410 0.124767I
b = 0.380055 + 1.188200I
5.72199 + 3.82704I 0
u = 1.016160 + 0.279333I
a = 1.32792 1.12807I
b = 0.318385 1.351560I
4.11608 + 5.09222I 0
u = 1.016160 0.279333I
a = 1.32792 + 1.12807I
b = 0.318385 + 1.351560I
4.11608 5.09222I 0
u = 0.942738 + 0.076772I
a = 0.24442 + 1.97437I
b = 0.37388 + 2.54242I
2.69291 5.56907I 0
u = 0.942738 0.076772I
a = 0.24442 1.97437I
b = 0.37388 2.54242I
2.69291 + 5.56907I 0
u = 0.931386 + 0.164279I
a = 1.50354 1.63984I
b = 0.84771 1.76028I
2.47084 + 4.49392I 0
u = 0.931386 0.164279I
a = 1.50354 + 1.63984I
b = 0.84771 + 1.76028I
2.47084 4.49392I 0
u = 1.016610 + 0.300180I
a = 1.60567 0.80847I
b = 0.80045 1.66492I
0.40390 + 5.46386I 0
u = 1.016610 0.300180I
a = 1.60567 + 0.80847I
b = 0.80045 + 1.66492I
0.40390 5.46386I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.931355 + 0.126822I
a = 1.14362 2.09217I
b = 0.433763 + 0.940358I
1.27100 2.30835I 0
u = 0.931355 0.126822I
a = 1.14362 + 2.09217I
b = 0.433763 0.940358I
1.27100 + 2.30835I 0
u = 0.928997 + 0.042924I
a = 2.65896 + 0.58032I
b = 0.235262 1.034350I
0.32335 2.05968I 0
u = 0.928997 0.042924I
a = 2.65896 0.58032I
b = 0.235262 + 1.034350I
0.32335 + 2.05968I 0
u = 0.942354 + 0.524880I
a = 1.80087 0.11794I
b = 0.86557 1.30655I
2.65383 12.54390I 0
u = 0.942354 0.524880I
a = 1.80087 + 0.11794I
b = 0.86557 + 1.30655I
2.65383 + 12.54390I 0
u = 0.417946 + 1.000310I
a = 0.027120 0.411580I
b = 0.275988 + 0.383954I
2.18370 2.82632I 0
u = 0.417946 1.000310I
a = 0.027120 + 0.411580I
b = 0.275988 0.383954I
2.18370 + 2.82632I 0
u = 1.057050 + 0.242918I
a = 1.070400 0.144920I
b = 0.39783 1.39628I
1.05193 + 5.23933I 0
u = 1.057050 0.242918I
a = 1.070400 + 0.144920I
b = 0.39783 + 1.39628I
1.05193 5.23933I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.237227 + 0.882104I
a = 0.354769 0.663091I
b = 0.12411 + 1.42857I
6.92090 6.38065I 0
u = 0.237227 0.882104I
a = 0.354769 + 0.663091I
b = 0.12411 1.42857I
6.92090 + 6.38065I 0
u = 1.090090 + 0.011000I
a = 1.160750 0.408266I
b = 0.381844 + 0.959733I
3.78101 4.02611I 0
u = 1.090090 0.011000I
a = 1.160750 + 0.408266I
b = 0.381844 0.959733I
3.78101 + 4.02611I 0
u = 0.914975 + 0.597866I
a = 1.59622 0.03954I
b = 0.599089 + 1.063460I
4.34659 + 4.04045I 0
u = 0.914975 0.597866I
a = 1.59622 + 0.03954I
b = 0.599089 1.063460I
4.34659 4.04045I 0
u = 1.093010 + 0.065407I
a = 1.71754 0.37225I
b = 0.809823 0.988272I
4.18823 + 2.92442I 0
u = 1.093010 0.065407I
a = 1.71754 + 0.37225I
b = 0.809823 + 0.988272I
4.18823 2.92442I 0
u = 0.066934 + 1.096880I
a = 0.412070 + 0.213355I
b = 0.178244 1.170140I
4.65014 0.13962I 0
u = 0.066934 1.096880I
a = 0.412070 0.213355I
b = 0.178244 + 1.170140I
4.65014 + 0.13962I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.093090 + 0.173955I
a = 2.04200 0.48788I
b = 0.482888 + 1.167770I
1.18880 + 11.58080I 0
u = 1.093090 0.173955I
a = 2.04200 + 0.48788I
b = 0.482888 1.167770I
1.18880 11.58080I 0
u = 0.878264 + 0.721877I
a = 1.126510 0.251981I
b = 0.515284 + 1.152270I
2.79956 3.72194I 0
u = 0.878264 0.721877I
a = 1.126510 + 0.251981I
b = 0.515284 1.152270I
2.79956 + 3.72194I 0
u = 0.143077 + 0.849929I
a = 0.242181 0.368221I
b = 0.14744 + 1.41971I
8.11135 2.13818I 0
u = 0.143077 0.849929I
a = 0.242181 + 0.368221I
b = 0.14744 1.41971I
8.11135 + 2.13818I 0
u = 0.793452 + 0.299761I
a = 1.35201 0.73462I
b = 0.418218 0.580742I
1.41059 + 3.56442I 0
u = 0.793452 0.299761I
a = 1.35201 + 0.73462I
b = 0.418218 + 0.580742I
1.41059 3.56442I 0
u = 0.838506 + 0.050942I
a = 0.246489 + 0.431691I
b = 0.05190 + 1.74333I
5.30636 3.63476I 0
u = 0.838506 0.050942I
a = 0.246489 0.431691I
b = 0.05190 1.74333I
5.30636 + 3.63476I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.797427 + 0.258233I
a = 0.69037 1.29689I
b = 0.58984 1.47107I
2.17733 + 3.18711I 0
u = 0.797427 0.258233I
a = 0.69037 + 1.29689I
b = 0.58984 + 1.47107I
2.17733 3.18711I 0
u = 0.038241 + 1.174580I
a = 0.049450 0.293969I
b = 0.449129 + 1.321610I
3.24404 6.81988I 0
u = 0.038241 1.174580I
a = 0.049450 + 0.293969I
b = 0.449129 1.321610I
3.24404 + 6.81988I 0
u = 0.737573 + 0.344825I
a = 0.401872 + 0.424727I
b = 0.542224 + 0.055030I
0.314526 + 0.273439I 0
u = 0.737573 0.344825I
a = 0.401872 0.424727I
b = 0.542224 0.055030I
0.314526 0.273439I 0
u = 0.760331 + 0.912279I
a = 0.700304 0.833920I
b = 0.178329 + 0.739824I
1.59398 4.71317I 0
u = 0.760331 0.912279I
a = 0.700304 + 0.833920I
b = 0.178329 0.739824I
1.59398 + 4.71317I 0
u = 0.792395 + 0.075302I
a = 1.91632 + 0.06197I
b = 0.303307 0.856990I
0.88217 + 1.81809I 0
u = 0.792395 0.075302I
a = 1.91632 0.06197I
b = 0.303307 + 0.856990I
0.88217 1.81809I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.689860 + 0.992521I
a = 0.246278 0.263116I
b = 0.267383 1.139260I
3.48813 2.56118I 0
u = 0.689860 0.992521I
a = 0.246278 + 0.263116I
b = 0.267383 + 1.139260I
3.48813 + 2.56118I 0
u = 1.172210 + 0.333764I
a = 1.166690 + 0.620790I
b = 1.34470 + 0.69553I
4.39351 + 2.17711I 0
u = 1.172210 0.333764I
a = 1.166690 0.620790I
b = 1.34470 0.69553I
4.39351 2.17711I 0
u = 1.055890 + 0.666769I
a = 0.950237 + 0.098821I
b = 0.101000 0.882782I
0.490665 0.628637I 0
u = 1.055890 0.666769I
a = 0.950237 0.098821I
b = 0.101000 + 0.882782I
0.490665 + 0.628637I 0
u = 1.233300 + 0.221792I
a = 1.69296 + 0.01656I
b = 1.376200 0.084632I
4.86637 4.55618I 0
u = 1.233300 0.221792I
a = 1.69296 0.01656I
b = 1.376200 + 0.084632I
4.86637 + 4.55618I 0
u = 1.210390 + 0.340081I
a = 1.011680 + 0.639835I
b = 0.68903 + 1.48663I
0.32590 4.89336I 0
u = 1.210390 0.340081I
a = 1.011680 0.639835I
b = 0.68903 1.48663I
0.32590 + 4.89336I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.042559 + 1.272700I
a = 0.106273 0.199339I
b = 0.446988 + 1.265610I
4.3002 + 15.1636I 0
u = 0.042559 1.272700I
a = 0.106273 + 0.199339I
b = 0.446988 1.265610I
4.3002 15.1636I 0
u = 1.237330 + 0.318025I
a = 1.63120 + 0.25335I
b = 1.51362 0.10706I
5.69770 + 5.54914I 0
u = 1.237330 0.318025I
a = 1.63120 0.25335I
b = 1.51362 + 0.10706I
5.69770 5.54914I 0
u = 1.274920 + 0.121531I
a = 1.328670 + 0.056009I
b = 1.160930 + 0.104440I
6.07502 + 0.48235I 0
u = 1.274920 0.121531I
a = 1.328670 0.056009I
b = 1.160930 0.104440I
6.07502 0.48235I 0
u = 1.225570 + 0.390920I
a = 1.242890 0.270708I
b = 0.992814 0.260230I
2.24094 + 7.27695I 0
u = 1.225570 0.390920I
a = 1.242890 + 0.270708I
b = 0.992814 + 0.260230I
2.24094 7.27695I 0
u = 1.286800 + 0.063950I
a = 0.33795 1.66749I
b = 0.144268 0.703422I
2.39969 + 0.70690I 0
u = 1.286800 0.063950I
a = 0.33795 + 1.66749I
b = 0.144268 + 0.703422I
2.39969 0.70690I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.136227 + 1.285270I
a = 0.173581 + 0.197725I
b = 0.327236 1.141150I
4.80765 6.38541I 0
u = 0.136227 1.285270I
a = 0.173581 0.197725I
b = 0.327236 + 1.141150I
4.80765 + 6.38541I 0
u = 0.702869 + 0.057996I
a = 2.72893 + 0.77261I
b = 0.201167 + 0.662724I
0.52183 + 10.48050I 0
u = 0.702869 0.057996I
a = 2.72893 0.77261I
b = 0.201167 0.662724I
0.52183 10.48050I 0
u = 1.288290 + 0.163301I
a = 1.52727 0.61324I
b = 0.964652 0.702479I
5.08321 + 3.68372I 0
u = 1.288290 0.163301I
a = 1.52727 + 0.61324I
b = 0.964652 + 0.702479I
5.08321 3.68372I 0
u = 0.625160 + 0.313756I
a = 1.92785 + 0.16397I
b = 0.781365 + 0.542075I
2.52291 0.24082I 0
u = 0.625160 0.313756I
a = 1.92785 0.16397I
b = 0.781365 0.542075I
2.52291 + 0.24082I 0
u = 1.275200 + 0.279077I
a = 1.016160 0.230755I
b = 0.216454 0.841733I
0.97220 1.12401I 0
u = 1.275200 0.279077I
a = 1.016160 + 0.230755I
b = 0.216454 + 0.841733I
0.97220 + 1.12401I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.203870 + 0.514891I
a = 1.66892 + 0.24257I
b = 0.669345 + 1.161300I
2.72364 + 8.99909I 0
u = 1.203870 0.514891I
a = 1.66892 0.24257I
b = 0.669345 1.161300I
2.72364 8.99909I 0
u = 0.280944 + 0.624914I
a = 0.397842 + 1.214640I
b = 0.677791 + 0.115239I
0.33402 + 10.82870I 0
u = 0.280944 0.624914I
a = 0.397842 1.214640I
b = 0.677791 0.115239I
0.33402 10.82870I 0
u = 1.313350 + 0.066298I
a = 0.503375 0.445082I
b = 0.141304 + 0.011398I
2.60885 + 0.38010I 0
u = 1.313350 0.066298I
a = 0.503375 + 0.445082I
b = 0.141304 0.011398I
2.60885 0.38010I 0
u = 1.225930 + 0.487300I
a = 1.73908 0.41691I
b = 0.255367 1.261240I
3.78838 + 11.37000I 0
u = 1.225930 0.487300I
a = 1.73908 + 0.41691I
b = 0.255367 + 1.261240I
3.78838 11.37000I 0
u = 1.267900 + 0.369952I
a = 1.45749 + 0.29255I
b = 1.43189 + 0.09759I
4.0219 14.5167I 0
u = 1.267900 0.369952I
a = 1.45749 0.29255I
b = 1.43189 0.09759I
4.0219 + 14.5167I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.243650 + 0.457547I
a = 1.61596 0.57051I
b = 0.386573 1.282890I
4.67811 2.62718I 0
u = 1.243650 0.457547I
a = 1.61596 + 0.57051I
b = 0.386573 + 1.282890I
4.67811 + 2.62718I 0
u = 1.344450 + 0.052059I
a = 0.846673 0.926095I
b = 0.685074 0.303345I
3.82994 + 7.06531I 0
u = 1.344450 0.052059I
a = 0.846673 + 0.926095I
b = 0.685074 + 0.303345I
3.82994 7.06531I 0
u = 0.298814 + 0.582284I
a = 0.501492 + 0.589634I
b = 0.734903 + 0.253216I
1.37252 2.34420I 0
u = 0.298814 0.582284I
a = 0.501492 0.589634I
b = 0.734903 0.253216I
1.37252 + 2.34420I 0
u = 0.524688 + 1.240660I
a = 0.184972 + 0.491833I
b = 0.286579 0.954381I
0.82739 5.64505I 0
u = 0.524688 1.240660I
a = 0.184972 0.491833I
b = 0.286579 + 0.954381I
0.82739 + 5.64505I 0
u = 1.316870 + 0.332700I
a = 1.119410 + 0.109239I
b = 0.970468 0.052702I
3.41416 5.99433I 0
u = 1.316870 0.332700I
a = 1.119410 0.109239I
b = 0.970468 + 0.052702I
3.41416 + 5.99433I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.169870 + 0.702461I
a = 0.872281 + 0.345641I
b = 0.173247 1.099880I
0.279407 1.380150I 0
u = 1.169870 0.702461I
a = 0.872281 0.345641I
b = 0.173247 + 1.099880I
0.279407 + 1.380150I 0
u = 1.335590 + 0.297697I
a = 0.895012 + 0.271081I
b = 0.864981 + 0.579635I
6.92609 + 1.69202I 0
u = 1.335590 0.297697I
a = 0.895012 0.271081I
b = 0.864981 0.579635I
6.92609 1.69202I 0
u = 0.464000 + 0.412112I
a = 1.170960 0.452696I
b = 0.555009 0.071113I
2.20672 0.16388I 0
u = 0.464000 0.412112I
a = 1.170960 + 0.452696I
b = 0.555009 + 0.071113I
2.20672 + 0.16388I 0
u = 0.054521 + 0.612898I
a = 0.801353 0.681042I
b = 0.276445 + 1.160900I
1.92177 2.72881I 0
u = 0.054521 0.612898I
a = 0.801353 + 0.681042I
b = 0.276445 1.160900I
1.92177 + 2.72881I 0
u = 1.262480 + 0.593621I
a = 1.379590 + 0.129524I
b = 0.874746 1.004710I
3.13171 + 9.71662I 0
u = 1.262480 0.593621I
a = 1.379590 0.129524I
b = 0.874746 + 1.004710I
3.13171 9.71662I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.039229 + 0.602811I
a = 0.724272 1.129440I
b = 0.455629 0.132455I
1.45671 3.45841I 0
u = 0.039229 0.602811I
a = 0.724272 + 1.129440I
b = 0.455629 + 0.132455I
1.45671 + 3.45841I 0
u = 0.601553
a = 3.51220
b = 1.29166
1.59492 0
u = 0.322276 + 0.501776I
a = 0.114286 + 0.849844I
b = 0.875562 + 0.623564I
1.29729 5.33922I 0
u = 0.322276 0.501776I
a = 0.114286 0.849844I
b = 0.875562 0.623564I
1.29729 + 5.33922I 0
u = 1.337300 + 0.426723I
a = 1.312820 0.281781I
b = 0.62436 1.32387I
2.29872 + 6.76585I 0
u = 1.337300 0.426723I
a = 1.312820 + 0.281781I
b = 0.62436 + 1.32387I
2.29872 6.76585I 0
u = 1.358890 + 0.366542I
a = 0.942302 0.258572I
b = 0.910493 0.158063I
7.53133 + 7.30721I 0
u = 1.358890 0.366542I
a = 0.942302 + 0.258572I
b = 0.910493 + 0.158063I
7.53133 7.30721I 0
u = 1.054390 + 0.938320I
a = 0.789677 0.214326I
b = 0.119978 + 0.787453I
2.91575 + 3.65835I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.054390 0.938320I
a = 0.789677 + 0.214326I
b = 0.119978 0.787453I
2.91575 3.65835I 0
u = 0.540970 + 0.215038I
a = 2.19712 + 0.25264I
b = 0.340833 0.221987I
0.803133 + 0.043679I 0
u = 0.540970 0.215038I
a = 2.19712 0.25264I
b = 0.340833 + 0.221987I
0.803133 0.043679I 0
u = 1.28045 + 0.60963I
a = 1.158220 + 0.241375I
b = 0.138029 + 0.859303I
0.94409 + 6.18960I 0
u = 1.28045 0.60963I
a = 1.158220 0.241375I
b = 0.138029 0.859303I
0.94409 6.18960I 0
u = 1.39339 + 0.30307I
a = 0.742021 0.265368I
b = 0.995971 0.080948I
5.02981 0.81679I 0
u = 1.39339 0.30307I
a = 0.742021 + 0.265368I
b = 0.995971 + 0.080948I
5.02981 + 0.81679I 0
u = 0.15925 + 1.41721I
a = 0.0599314 + 0.1206730I
b = 0.238860 1.170030I
5.41255 + 4.51169I 0
u = 0.15925 1.41721I
a = 0.0599314 0.1206730I
b = 0.238860 + 1.170030I
5.41255 4.51169I 0
u = 1.08163 + 0.97988I
a = 0.360481 0.385020I
b = 0.289498 + 0.674799I
2.46803 2.74768I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.08163 0.97988I
a = 0.360481 + 0.385020I
b = 0.289498 0.674799I
2.46803 + 2.74768I 0
u = 1.35294 + 0.57563I
a = 1.46670 0.22727I
b = 0.67192 1.47492I
0.85959 + 12.91490I 0
u = 1.35294 0.57563I
a = 1.46670 + 0.22727I
b = 0.67192 + 1.47492I
0.85959 12.91490I 0
u = 1.35338 + 0.61297I
a = 1.139680 + 0.050554I
b = 0.607537 1.012880I
5.51021 3.73980I 0
u = 1.35338 0.61297I
a = 1.139680 0.050554I
b = 0.607537 + 1.012880I
5.51021 + 3.73980I 0
u = 1.33863 + 0.65073I
a = 1.208010 0.111880I
b = 0.516267 + 1.272760I
4.03794 + 12.50820I 0
u = 1.33863 0.65073I
a = 1.208010 + 0.111880I
b = 0.516267 1.272760I
4.03794 12.50820I 0
u = 1.36098 + 0.62304I
a = 1.370230 + 0.144426I
b = 0.580599 + 1.251450I
0.89606 + 12.95830I 0
u = 1.36098 0.62304I
a = 1.370230 0.144426I
b = 0.580599 1.251450I
0.89606 12.95830I 0
u = 1.42826 + 0.48916I
a = 1.330240 + 0.477275I
b = 0.67112 + 1.33613I
1.04356 11.46520I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.42826 0.48916I
a = 1.330240 0.477275I
b = 0.67112 1.33613I
1.04356 + 11.46520I 0
u = 1.38286 + 0.61148I
a = 1.41096 0.19613I
b = 0.67536 1.40823I
0.1054 21.6726I 0
u = 1.38286 0.61148I
a = 1.41096 + 0.19613I
b = 0.67536 + 1.40823I
0.1054 + 21.6726I 0
u = 1.29383 + 0.79073I
a = 0.841999 0.245615I
b = 0.52223 + 1.31926I
1.13538 6.24850I 0
u = 1.29383 0.79073I
a = 0.841999 + 0.245615I
b = 0.52223 1.31926I
1.13538 + 6.24850I 0
u = 1.53115 + 0.11320I
a = 0.395620 + 1.104480I
b = 0.133427 + 0.864948I
4.64027 + 6.10938I 0
u = 1.53115 0.11320I
a = 0.395620 1.104480I
b = 0.133427 0.864948I
4.64027 6.10938I 0
u = 0.460119
a = 1.08441
b = 0.340547
1.05182 0
u = 1.18740 + 1.01171I
a = 0.277458 0.364671I
b = 0.324161 + 0.832632I
1.05389 5.18007I 0
u = 1.18740 1.01171I
a = 0.277458 + 0.364671I
b = 0.324161 0.832632I
1.05389 + 5.18007I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.45823 + 0.64649I
a = 1.112750 + 0.245989I
b = 0.55912 + 1.32443I
0.52017 11.56780I 0
u = 1.45823 0.64649I
a = 1.112750 0.245989I
b = 0.55912 1.32443I
0.52017 + 11.56780I 0
u = 0.119530 + 0.331870I
a = 2.80516 0.23910I
b = 0.112247 + 1.282410I
1.75110 2.62820I 0. + 3.67631I
u = 0.119530 0.331870I
a = 2.80516 + 0.23910I
b = 0.112247 1.282410I
1.75110 + 2.62820I 0. 3.67631I
u = 0.245713 + 0.186551I
a = 1.072790 0.609357I
b = 0.603961 + 0.811619I
0.64720 2.34140I 3.27818 7.06005I
u = 0.245713 0.186551I
a = 1.072790 + 0.609357I
b = 0.603961 0.811619I
0.64720 + 2.34140I 3.27818 + 7.06005I
u = 0.278311 + 0.042481I
a = 1.24160 + 5.33275I
b = 0.267518 + 0.061677I
1.30742 4.02675I 17.7258 + 15.4969I
u = 0.278311 0.042481I
a = 1.24160 5.33275I
b = 0.267518 0.061677I
1.30742 + 4.02675I 17.7258 15.4969I
u = 0.226705 + 0.102402I
a = 1.94999 3.98373I
b = 0.214072 0.668266I
1.31537 + 3.32354I 0.86905 9.02412I
u = 0.226705 0.102402I
a = 1.94999 + 3.98373I
b = 0.214072 + 0.668266I
1.31537 3.32354I 0.86905 + 9.02412I
22
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.77517 + 0.17217I
a = 0.001781 0.213150I
b = 0.191134 0.777223I
2.46997 + 0.10098I 0
u = 1.77517 0.17217I
a = 0.001781 + 0.213150I
b = 0.191134 + 0.777223I
2.46997 0.10098I 0
u = 1.71550 + 0.63147I
a = 0.512041 0.282629I
b = 0.208442 1.305870I
1.71587 + 6.53925I 0
u = 1.71550 0.63147I
a = 0.512041 + 0.282629I
b = 0.208442 + 1.305870I
1.71587 6.53925I 0
u = 0.018053 + 0.164185I
a = 2.92803 1.90416I
b = 0.798884 0.486687I
1.16401 + 2.73937I 17.4815 8.7514I
u = 0.018053 0.164185I
a = 2.92803 + 1.90416I
b = 0.798884 + 0.486687I
1.16401 2.73937I 17.4815 + 8.7514I
u = 2.27672 + 0.74106I
a = 0.063049 0.163872I
b = 0.154434 0.903527I
1.22851 7.30464I 0
u = 2.27672 0.74106I
a = 0.063049 + 0.163872I
b = 0.154434 + 0.903527I
1.22851 + 7.30464I 0
23
II. I
u
2
=
h5.47×10
48
u
40
+2.46×10
49
u
39
+· · ·+2.70×10
48
b2.27×10
49
, 5.87×10
49
u
40
+
3.07 × 10
50
u
39
+ · · · + 1.35 × 10
49
a + 1.27 × 10
50
, u
41
+ 5u
40
+ · · · + 17u 5i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
4.34835u
40
22.7212u
39
+ ··· + 0.998293u 9.38747
2.02616u
40
9.11191u
39
+ ··· 36.9962u + 8.41178
a
4
=
u
u
3
+ u
a
2
=
1.75510u
40
10.2375u
39
+ ··· + 23.8288u 10.8108
2.99892u
40
14.1358u
39
+ ··· 38.6567u + 7.42222
a
7
=
1.21832u
40
6.85436u
39
+ ··· + 9.36014u 7.70394
1.23069u
40
7.60457u
39
+ ··· + 19.7911u 8.46168
a
3
=
9.11101u
40
+ 53.1976u
39
+ ··· 120.556u + 56.6711
0.0824971u
40
0.491234u
39
+ ··· + 17.3221u 1.61790
a
12
=
2.32219u
40
13.6093u
39
+ ··· + 37.9945u 17.7993
2.02616u
40
9.11191u
39
+ ··· 36.9962u + 8.41178
a
10
=
2.24699u
40
14.4754u
39
+ ··· + 53.3138u 17.0096
0.389983u
40
5.11971u
39
+ ··· + 75.9990u 23.5898
a
6
=
0.178614u
40
+ 0.528432u
39
+ ··· 12.9226u + 9.05269
3.34438u
40
14.6337u
39
+ ··· 76.2031u + 21.1434
a
11
=
2.65126u
40
16.2030u
39
+ ··· + 50.7181u 17.4322
3.17298u
40
16.6041u
39
+ ··· + 11.2831u 10.6264
(ii) Obstruction class = 1
(iii) Cusp Shapes = 32.5963u
40
+ 190.704u
39
+ ··· 515.049u + 237.460
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
41
9u
40
+ ··· 2u + 1
c
2
u
41
+ 5u
40
+ ··· u + 1
c
3
u
41
+ 3u
40
+ ··· 4u 1
c
4
u
41
5u
40
+ ··· + 17u + 5
c
5
u
41
u
40
+ ··· 21u 47
c
6
u
41
2u
40
+ ··· + u 1
c
7
u
41
+ 4u
40
+ ··· + 16u 1
c
8
u
41
+ 5u
40
+ ··· + 17u 5
c
9
u
41
+ 10u
40
+ ··· + 60u + 5
c
10
u
41
3u
40
+ ··· + u 1
c
11
u
41
+ 13u
39
+ ··· + 15u + 1
c
12
u
41
10u
40
+ ··· + 60u 5
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
41
+ 17y
40
+ ··· 32y 1
c
2
y
41
+ 21y
40
+ ··· + 11y 1
c
3
y
41
5y
40
+ ··· 18y 1
c
4
, c
8
y
41
35y
40
+ ··· + 249y 25
c
5
y
41
15y
40
+ ··· + 253y 2209
c
6
y
41
10y
40
+ ··· 7y 1
c
7
y
41
+ 2y
40
+ ··· + 44y 1
c
9
, c
12
y
41
+ 38y
40
+ ··· 660y 25
c
10
y
41
+ 27y
40
+ ··· + 7y 1
c
11
y
41
+ 26y
40
+ ··· 89y 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.957488 + 0.379503I
a = 2.35367 + 0.52228I
b = 0.557089 0.972886I
0.34545 11.90450I 3.63394 + 11.58040I
u = 0.957488 0.379503I
a = 2.35367 0.52228I
b = 0.557089 + 0.972886I
0.34545 + 11.90450I 3.63394 11.58040I
u = 0.902045 + 0.193438I
a = 0.82325 + 1.36961I
b = 0.415853 0.921908I
1.18581 + 2.31710I 12.52482 + 3.65064I
u = 0.902045 0.193438I
a = 0.82325 1.36961I
b = 0.415853 + 0.921908I
1.18581 2.31710I 12.52482 3.65064I
u = 0.600971 + 0.897471I
a = 0.181515 0.327165I
b = 0.305844 1.117910I
3.97086 1.68855I 1.70588 + 1.19800I
u = 0.600971 0.897471I
a = 0.181515 + 0.327165I
b = 0.305844 + 1.117910I
3.97086 + 1.68855I 1.70588 1.19800I
u = 0.915027 + 0.067011I
a = 2.53869 + 1.82320I
b = 0.086010 + 0.912256I
0.13305 1.82571I 18.9424 + 7.5213I
u = 0.915027 0.067011I
a = 2.53869 1.82320I
b = 0.086010 0.912256I
0.13305 + 1.82571I 18.9424 7.5213I
u = 0.876792 + 0.020099I
a = 0.92648 + 2.12882I
b = 0.52039 + 2.38106I
2.92904 5.26176I 6.54221 + 2.35934I
u = 0.876792 0.020099I
a = 0.92648 2.12882I
b = 0.52039 2.38106I
2.92904 + 5.26176I 6.54221 2.35934I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.080578 + 1.146840I
a = 0.185404 + 0.145685I
b = 0.279617 1.207800I
4.49071 + 5.34842I 0. 4.75350I
u = 0.080578 1.146840I
a = 0.185404 0.145685I
b = 0.279617 + 1.207800I
4.49071 5.34842I 0. + 4.75350I
u = 0.777295 + 0.334272I
a = 2.08326 1.96810I
b = 0.120473 + 1.069180I
0.77633 + 2.67541I 8.96357 + 8.62242I
u = 0.777295 0.334272I
a = 2.08326 + 1.96810I
b = 0.120473 1.069180I
0.77633 2.67541I 8.96357 8.62242I
u = 0.842476 + 0.857852I
a = 0.896966 0.692070I
b = 0.100260 + 0.735844I
1.70268 + 4.41930I 0
u = 0.842476 0.857852I
a = 0.896966 + 0.692070I
b = 0.100260 0.735844I
1.70268 4.41930I 0
u = 0.898806 + 0.815996I
a = 1.081860 0.480367I
b = 0.451234 + 0.940610I
3.03395 4.79635I 0. + 10.81450I
u = 0.898806 0.815996I
a = 1.081860 + 0.480367I
b = 0.451234 0.940610I
3.03395 + 4.79635I 0. 10.81450I
u = 1.247800 + 0.264420I
a = 1.63921 + 0.06906I
b = 1.318150 + 0.162838I
4.55317 5.23518I 0
u = 1.247800 0.264420I
a = 1.63921 0.06906I
b = 1.318150 0.162838I
4.55317 + 5.23518I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.257460 + 0.221112I
a = 0.592703 + 0.966419I
b = 0.22864 + 1.73271I
1.32077 5.47563I 0
u = 1.257460 0.221112I
a = 0.592703 0.966419I
b = 0.22864 1.73271I
1.32077 + 5.47563I 0
u = 0.710753
a = 3.32241
b = 1.08583
1.94586 20.8440
u = 1.298340 + 0.221730I
a = 0.875411 + 0.246688I
b = 1.013700 + 0.239474I
4.71356 + 0.44480I 0
u = 1.298340 0.221730I
a = 0.875411 0.246688I
b = 1.013700 0.239474I
4.71356 0.44480I 0
u = 1.399870 + 0.160763I
a = 0.528539 + 0.784957I
b = 0.150944 + 0.172690I
5.62801 5.67625I 0
u = 1.399870 0.160763I
a = 0.528539 0.784957I
b = 0.150944 0.172690I
5.62801 + 5.67625I 0
u = 0.287660 + 0.470566I
a = 0.75026 + 1.85561I
b = 0.239144 0.476386I
1.03875 + 3.74024I 2.84295 + 0.14200I
u = 0.287660 0.470566I
a = 0.75026 1.85561I
b = 0.239144 + 0.476386I
1.03875 3.74024I 2.84295 0.14200I
u = 1.47809 + 0.10591I
a = 0.009946 + 0.952592I
b = 0.179536 + 0.836799I
1.85002 0.24383I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.47809 0.10591I
a = 0.009946 0.952592I
b = 0.179536 0.836799I
1.85002 + 0.24383I 0
u = 1.33297 + 0.67769I
a = 0.923321 + 0.107847I
b = 0.52936 1.31394I
1.10505 + 5.99048I 0
u = 1.33297 0.67769I
a = 0.923321 0.107847I
b = 0.52936 + 1.31394I
1.10505 5.99048I 0
u = 1.41290 + 0.57681I
a = 1.273070 + 0.300890I
b = 0.59202 + 1.33662I
0.19751 11.46450I 0
u = 1.41290 0.57681I
a = 1.273070 0.300890I
b = 0.59202 1.33662I
0.19751 + 11.46450I 0
u = 0.427119 + 0.158906I
a = 1.11086 1.56410I
b = 0.03645 1.60697I
6.10107 + 4.02054I 5.00352 5.41019I
u = 0.427119 0.158906I
a = 1.11086 + 1.56410I
b = 0.03645 + 1.60697I
6.10107 4.02054I 5.00352 + 5.41019I
u = 0.072906 + 0.399103I
a = 0.044162 0.613200I
b = 0.722169 0.597689I
0.66271 + 2.77158I 0.97313 11.19340I
u = 0.072906 0.399103I
a = 0.044162 + 0.613200I
b = 0.722169 + 0.597689I
0.66271 2.77158I 0.97313 + 11.19340I
u = 2.04248 + 0.73394I
a = 0.181379 + 0.156175I
b = 0.143051 + 0.884801I
1.25143 + 7.15700I 0
32
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 2.04248 0.73394I
a = 0.181379 0.156175I
b = 0.143051 0.884801I
1.25143 7.15700I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
41
9u
40
+ ··· 2u + 1)(u
188
+ 6u
187
+ ··· 20266u + 1447)
c
2
(u
41
+ 5u
40
+ ··· u + 1)(u
188
10u
187
+ ··· + 235u + 43)
c
3
(u
41
+ 3u
40
+ ··· 4u 1)(u
188
2u
187
+ ··· + 2896580u 507209)
c
4
(u
41
5u
40
+ ··· + 17u + 5)(u
188
+ 4u
187
+ ··· 7531u 989)
c
5
(u
41
u
40
+ ··· 21u 47)
· (u
188
+ 2u
187
+ ··· + 11973792223u + 765934129)
c
6
(u
41
2u
40
+ ··· + u 1)(u
188
+ u
187
+ ··· + 7u + 1)
c
7
(u
41
+ 4u
40
+ ··· + 16u 1)(u
188
+ 3u
187
+ ··· 30u + 1)
c
8
(u
41
+ 5u
40
+ ··· + 17u 5)(u
188
+ 4u
187
+ ··· 7531u 989)
c
9
(u
41
+ 10u
40
+ ··· + 60u + 5)(u
188
7u
187
+ ··· + 192850u + 10363)
c
10
(u
41
3u
40
+ ··· + u 1)(u
188
+ 6u
187
+ ··· + 410u 76)
c
11
(u
41
+ 13u
39
+ ··· + 15u + 1)(u
188
u
187
+ ··· + 41u + 1)
c
12
(u
41
10u
40
+ ··· + 60u 5)(u
188
7u
187
+ ··· + 192850u + 10363)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
41
+ 17y
40
+ ··· 32y 1)
· (y
188
+ 40y
187
+ ··· 47377738y + 2093809)
c
2
(y
41
+ 21y
40
+ ··· + 11y 1)(y
188
+ 8y
187
+ ··· 114049y + 1849)
c
3
(y
41
5y
40
+ ··· 18y 1)
· (y
188
58y
187
+ ··· + 8743433592384y + 257260969681)
c
4
, c
8
(y
41
35y
40
+ ··· + 249y 25)
· (y
188
128y
187
+ ··· 18934183y + 978121)
c
5
(y
41
15y
40
+ ··· + 253y 2209)
· (y
188
48y
187
+ ··· + 2.08 × 10
18
y + 5.87 × 10
17
)
c
6
(y
41
10y
40
+ ··· 7y 1)(y
188
27y
187
+ ··· + 57y + 1)
c
7
(y
41
+ 2y
40
+ ··· + 44y 1)(y
188
+ 5y
187
+ ··· 2302y + 1)
c
9
, c
12
(y
41
+ 38y
40
+ ··· 660y 25)
· (y
188
+ 125y
187
+ ··· 9867145482y + 107391769)
c
10
(y
41
+ 27y
40
+ ··· + 7y 1)(y
188
+ 22y
187
+ ··· 151228y + 5776)
c
11
(y
41
+ 26y
40
+ ··· 89y 1)(y
188
+ 29y
187
+ ··· 229y + 1)
35