12a
1122
(K12a
1122
)
A knot diagram
1
Linearized knot diagam
4 8 6 11 2 1 10 3 12 5 7 9
Solving Sequence
4,11 2,5
6 1 7 12 3 10 8 9
c
4
c
5
c
1
c
6
c
11
c
3
c
10
c
7
c
9
c
2
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h6.83028 × 10
1161
u
193
+ 3.53445 × 10
1162
u
192
+ ··· + 2.95981 × 10
1162
b − 2.15705 × 10
1165
,
− 4.50554 × 10
1164
u
193
− 1.12219 × 10
1165
u
192
+ ··· + 1.42367 × 10
1165
a + 5.78965 × 10
1166
,
u
194
+ 2u
193
+ ··· − 655u − 481i
I
u
2
= h−3.12959 × 10
52
u
51
− 1.42487 × 10
53
u
50
+ ··· + 2.34999 × 10
51
b + 1.26295 × 10
53
,
− 2.98795 × 10
53
u
51
− 7.64871 × 10
53
u
50
+ ··· + 2.34999 × 10
51
a − 3.67199 × 10
53
, u
52
+ 3u
51
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 246 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
= h6.83 × 10
1161
u
193
+ 3.53 × 10
1162
u
192
+ · · · + 2.96 × 10
1162
b − 2.16 ×
10
1165
, −4.51 × 10
1164
u
193
− 1.12 × 10
1165
u
192
+ · · · + 1.42 × 10
1165
a +
5.79 × 10
1166
, u
194
+ 2u
193
+ · · · − 655u − 481i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
2
=
0.316474u
193
+ 0.788240u
192
+ ··· − 9.52894u − 40.6671
−0.230768u
193
− 1.19415u
192
+ ··· + 568.908u + 728.780
a
5
=
1
u
2
a
6
=
−0.162671u
193
+ 0.448121u
192
+ ··· − 776.891u − 100.653
0.475182u
193
+ 0.876579u
192
+ ··· − 738.805u − 41.3730
a
1
=
0.0857068u
193
− 0.405910u
192
+ ··· + 559.379u + 688.113
−0.230768u
193
− 1.19415u
192
+ ··· + 568.908u + 728.780
a
7
=
−0.150675u
193
+ 0.396798u
192
+ ··· + 135.660u − 612.208
−0.591702u
193
− 1.82715u
192
+ ··· + 908.617u + 439.357
a
12
=
−0.474308u
193
− 0.715475u
192
+ ··· − 98.9571u − 404.517
0.0961734u
193
+ 0.932923u
192
+ ··· − 498.590u − 649.306
a
3
=
−0.112320u
193
− 1.26756u
192
+ ··· + 686.156u + 1013.43
−0.100660u
193
− 0.241166u
192
+ ··· + 182.458u + 206.095
a
10
=
u
u
3
+ u
a
8
=
0.321414u
193
+ 1.89657u
192
+ ··· − 640.002u − 1102.47
−0.533946u
193
− 1.41798u
192
+ ··· + 723.942u + 216.338
a
9
=
0.459020u
193
+ 1.16878u
192
+ ··· − 543.442u − 65.5094
−1.08933u
193
− 2.21471u
192
+ ··· + 1271.97u + 134.816
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.49255u
193
+ 7.09007u
192
+ ··· − 1628.95u + 1786.25
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
− 22u
193
+ ··· − 21u − 2
c
2
, c
8
u
194
+ 7u
193
+ ··· + 54430u + 211369
c
3
u
194
− 23u
193
+ ··· − 122u + 4
c
4
, c
10
u
194
− 2u
193
+ ··· + 655u − 481
c
5
u
194
+ 2u
193
+ ··· + 401163u − 24353
c
6
u
194
+ 4u
193
+ ··· − 5730703u − 207001
c
7
u
194
+ 3u
193
+ ··· + 15352307260u + 814469648
c
9
, c
12
u
194
− 7u
193
+ ··· − 2210969u + 115748
c
11
u
194
− 16u
193
+ ··· − 988503u + 59801
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
− 12y
193
+ ··· + 111y + 4
c
2
, c
8
y
194
− 131y
193
+ ··· − 1961771990150y + 44676854161
c
3
y
194
− 55y
193
+ ··· − 2140y + 16
c
4
, c
10
y
194
+ 110y
193
+ ··· + 12580101y + 231361
c
5
y
194
− 34y
193
+ ··· + 42235244289y + 593068609
c
6
y
194
+ 26y
193
+ ··· − 729590165583y + 42849414001
c
7
y
194
− 17y
193
+ ··· − 1.29 × 10
20
y + 6.63 × 10
17
c
9
, c
12
y
194
+ 117y
193
+ ··· − 316216846553y + 13397599504
c
11
y
194
+ 52y
193
+ ··· − 607267799989y + 3576159601
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.251757 + 1.005160I
a = 0.065670 − 0.814168I
b = 0.784624 + 0.726243I
4.03911 − 1.81200I 0
u = −0.251757 − 1.005160I
a = 0.065670 + 0.814168I
b = 0.784624 − 0.726243I
4.03911 + 1.81200I 0
u = 0.982645 + 0.329574I
a = −0.089178 + 0.212648I
b = −1.04301 + 0.95954I
−0.06974 + 8.80865I 0
u = 0.982645 − 0.329574I
a = −0.089178 − 0.212648I
b = −1.04301 − 0.95954I
−0.06974 − 8.80865I 0
u = 0.214125 + 0.931248I
a = 0.17891 + 2.39952I
b = −1.214160 − 0.313275I
1.36282 − 0.88962I 0
u = 0.214125 − 0.931248I
a = 0.17891 − 2.39952I
b = −1.214160 + 0.313275I
1.36282 + 0.88962I 0
u = 1.016210 + 0.324273I
a = 0.627073 + 0.384093I
b = 0.032360 + 0.930651I
−1.06555 − 1.00391I 0
u = 1.016210 − 0.324273I
a = 0.627073 − 0.384093I
b = 0.032360 − 0.930651I
−1.06555 + 1.00391I 0
u = −0.466839 + 0.962731I
a = 0.010936 + 0.805791I
b = 0.626339 − 0.682521I
1.85805 − 0.72164I 0
u = −0.466839 − 0.962731I
a = 0.010936 − 0.805791I
b = 0.626339 + 0.682521I
1.85805 + 0.72164I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.142704 + 1.060990I
a = 1.249840 − 0.221762I
b = −0.141575 + 0.260256I
3.36336 + 0.09849I 0
u = 0.142704 − 1.060990I
a = 1.249840 + 0.221762I
b = −0.141575 − 0.260256I
3.36336 − 0.09849I 0
u = −1.011830 + 0.360670I
a = −0.367858 + 0.687191I
b = −0.076766 + 0.307025I
−0.62929 + 4.73327I 0
u = −1.011830 − 0.360670I
a = −0.367858 − 0.687191I
b = −0.076766 − 0.307025I
−0.62929 − 4.73327I 0
u = 0.695188 + 0.607820I
a = 0.804761 − 0.198197I
b = 0.416918 + 0.116699I
−1.45350 − 1.59800I 0
u = 0.695188 − 0.607820I
a = 0.804761 + 0.198197I
b = 0.416918 − 0.116699I
−1.45350 + 1.59800I 0
u = −0.205871 + 1.064520I
a = 0.571788 + 1.131920I
b = 0.003233 − 1.157660I
1.92174 − 1.25353I 0
u = −0.205871 − 1.064520I
a = 0.571788 − 1.131920I
b = 0.003233 + 1.157660I
1.92174 + 1.25353I 0
u = −1.000960 + 0.429068I
a = 0.098914 − 0.204224I
b = −0.993434 − 0.939438I
−3.87014 − 3.52468I 0
u = −1.000960 − 0.429068I
a = 0.098914 + 0.204224I
b = −0.993434 + 0.939438I
−3.87014 + 3.52468I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.581094 + 0.682495I
a = −0.03382 + 1.58535I
b = −1.41985 + 0.32895I
−0.14014 − 2.35529I 0
u = 0.581094 − 0.682495I
a = −0.03382 − 1.58535I
b = −1.41985 − 0.32895I
−0.14014 + 2.35529I 0
u = −0.035267 + 0.886965I
a = −3.33799 − 1.21350I
b = −1.060060 + 0.000013I
1.318930 + 0.093399I 0
u = −0.035267 − 0.886965I
a = −3.33799 + 1.21350I
b = −1.060060 − 0.000013I
1.318930 − 0.093399I 0
u = 0.675575 + 0.563993I
a = 0.480160 − 0.101867I
b = 0.858190 + 0.463965I
−1.07794 − 4.33467I 0
u = 0.675575 − 0.563993I
a = 0.480160 + 0.101867I
b = 0.858190 − 0.463965I
−1.07794 + 4.33467I 0
u = −0.437100 + 0.757607I
a = 0.394151 − 1.144180I
b = −1.395330 + 0.216322I
−1.70778 + 1.90491I 0
u = −0.437100 − 0.757607I
a = 0.394151 + 1.144180I
b = −1.395330 − 0.216322I
−1.70778 − 1.90491I 0
u = −0.358107 + 0.793890I
a = −0.23246 − 2.99667I
b = −1.07614 + 1.32262I
−2.91397 + 3.60701I 0
u = −0.358107 − 0.793890I
a = −0.23246 + 2.99667I
b = −1.07614 − 1.32262I
−2.91397 − 3.60701I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.813563 + 0.301681I
a = 0.901564 + 0.426122I
b = 0.922462 − 0.846918I
6.20018 + 4.65473I 0
u = −0.813563 − 0.301681I
a = 0.901564 − 0.426122I
b = 0.922462 + 0.846918I
6.20018 − 4.65473I 0
u = 0.460993 + 1.036090I
a = −1.02603 + 1.24171I
b = 0.172390 − 0.889229I
6.88693 − 5.93163I 0
u = 0.460993 − 1.036090I
a = −1.02603 − 1.24171I
b = 0.172390 + 0.889229I
6.88693 + 5.93163I 0
u = −0.391002 + 0.769934I
a = 0.735209 − 0.288979I
b = −1.47650 − 0.63202I
−2.93391 − 0.21259I 0
u = −0.391002 − 0.769934I
a = 0.735209 + 0.288979I
b = −1.47650 + 0.63202I
−2.93391 + 0.21259I 0
u = −0.926219 + 0.668024I
a = 0.275549 − 0.081834I
b = 1.025130 + 0.828927I
5.94711 − 1.70630I 0
u = −0.926219 − 0.668024I
a = 0.275549 + 0.081834I
b = 1.025130 − 0.828927I
5.94711 + 1.70630I 0
u = 0.348413 + 1.088770I
a = 0.21746 + 1.82743I
b = −0.445118 − 0.732955I
1.70078 − 3.28764I 0
u = 0.348413 − 1.088770I
a = 0.21746 − 1.82743I
b = −0.445118 + 0.732955I
1.70078 + 3.28764I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.532150 + 1.013340I
a = 1.235190 − 0.307355I
b = 0.702682 + 0.002432I
−0.58052 − 2.49187I 0
u = 0.532150 − 1.013340I
a = 1.235190 + 0.307355I
b = 0.702682 − 0.002432I
−0.58052 + 2.49187I 0
u = 0.655997 + 0.539418I
a = −1.54703 + 2.38776I
b = −0.636474 − 0.980063I
1.92121 − 7.90604I 0
u = 0.655997 − 0.539418I
a = −1.54703 − 2.38776I
b = −0.636474 + 0.980063I
1.92121 + 7.90604I 0
u = −0.455534 + 1.059860I
a = 0.831829 + 0.882654I
b = 0.318891 − 0.567994I
4.56429 + 1.17523I 0
u = −0.455534 − 1.059860I
a = 0.831829 − 0.882654I
b = 0.318891 + 0.567994I
4.56429 − 1.17523I 0
u = 0.275915 + 1.128450I
a = 1.07197 − 1.90078I
b = −0.22836 + 2.54503I
4.41088 − 3.93533I 0
u = 0.275915 − 1.128450I
a = 1.07197 + 1.90078I
b = −0.22836 − 2.54503I
4.41088 + 3.93533I 0
u = 0.533836 + 1.032400I
a = −0.21871 + 2.01027I
b = −0.86923 − 1.23646I
1.27643 − 6.55006I 0
u = 0.533836 − 1.032400I
a = −0.21871 − 2.01027I
b = −0.86923 + 1.23646I
1.27643 + 6.55006I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.036235 + 0.828297I
a = −1.96273 + 3.19554I
b = 1.13058 − 1.96038I
2.63815 + 2.68431I 0
u = 0.036235 − 0.828297I
a = −1.96273 − 3.19554I
b = 1.13058 + 1.96038I
2.63815 − 2.68431I 0
u = −0.470313 + 0.682009I
a = 0.566573 − 0.297380I
b = 0.894658 − 0.369987I
0.54606 + 8.15873I 0
u = −0.470313 − 0.682009I
a = 0.566573 + 0.297380I
b = 0.894658 + 0.369987I
0.54606 − 8.15873I 0
u = −0.341596 + 1.143730I
a = 0.09640 − 1.62274I
b = −0.259770 + 1.095630I
5.14834 + 6.58962I 0
u = −0.341596 − 1.143730I
a = 0.09640 + 1.62274I
b = −0.259770 − 1.095630I
5.14834 − 6.58962I 0
u = −0.406600 + 1.126390I
a = −0.10381 + 2.06162I
b = 0.86777 − 1.26956I
3.47689 + 10.61870I 0
u = −0.406600 − 1.126390I
a = −0.10381 − 2.06162I
b = 0.86777 + 1.26956I
3.47689 − 10.61870I 0
u = −0.561963 + 1.059780I
a = −0.07886 − 1.86346I
b = −1.00344 + 1.26714I
0.25235 + 6.31362I 0
u = −0.561963 − 1.059780I
a = −0.07886 + 1.86346I
b = −1.00344 − 1.26714I
0.25235 − 6.31362I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.660346 + 0.442981I
a = 0.752524 − 0.156516I
b = −1.155490 − 0.678625I
−1.53901 − 1.54155I 0
u = −0.660346 − 0.442981I
a = 0.752524 + 0.156516I
b = −1.155490 + 0.678625I
−1.53901 + 1.54155I 0
u = 0.402563 + 1.136740I
a = −1.54278 + 0.22746I
b = −0.730058 − 0.174551I
5.39371 − 10.74820I 0
u = 0.402563 − 1.136740I
a = −1.54278 − 0.22746I
b = −0.730058 + 0.174551I
5.39371 + 10.74820I 0
u = 0.479135 + 1.109900I
a = −1.28307 + 0.66570I
b = −0.177953 − 0.323546I
8.29510 + 2.72233I 0
u = 0.479135 − 1.109900I
a = −1.28307 − 0.66570I
b = −0.177953 + 0.323546I
8.29510 − 2.72233I 0
u = 0.422627 + 1.136010I
a = 0.68700 − 1.80083I
b = 0.514403 + 1.028580I
7.17178 − 1.49381I 0
u = 0.422627 − 1.136010I
a = 0.68700 + 1.80083I
b = 0.514403 − 1.028580I
7.17178 + 1.49381I 0
u = −0.101135 + 0.777690I
a = −0.67397 + 2.30455I
b = −0.638774 − 0.859690I
3.29137 − 4.87853I 0
u = −0.101135 − 0.777690I
a = −0.67397 − 2.30455I
b = −0.638774 + 0.859690I
3.29137 + 4.87853I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.483201 + 1.115950I
a = 0.17849 − 2.05038I
b = 0.238144 + 0.980695I
8.15546 − 10.17690I 0
u = 0.483201 − 1.115950I
a = 0.17849 + 2.05038I
b = 0.238144 − 0.980695I
8.15546 + 10.17690I 0
u = 0.383884 + 1.160880I
a = −0.18599 − 1.91854I
b = 1.12618 + 1.17427I
2.83127 − 7.17967I 0
u = 0.383884 − 1.160880I
a = −0.18599 + 1.91854I
b = 1.12618 − 1.17427I
2.83127 + 7.17967I 0
u = 0.172112 + 1.211690I
a = 0.755991 − 1.051400I
b = −0.449115 + 1.251620I
5.69232 + 5.44735I 0
u = 0.172112 − 1.211690I
a = 0.755991 + 1.051400I
b = −0.449115 − 1.251620I
5.69232 − 5.44735I 0
u = −0.570904 + 0.515951I
a = 0.792513 + 1.150750I
b = 0.238179 + 0.297075I
0.25463 − 3.43709I 0
u = −0.570904 − 0.515951I
a = 0.792513 − 1.150750I
b = 0.238179 − 0.297075I
0.25463 + 3.43709I 0
u = 0.249545 + 0.726358I
a = 0.79812 + 1.71675I
b = −0.710597 − 0.173236I
−0.16323 − 2.68133I 0
u = 0.249545 − 0.726358I
a = 0.79812 − 1.71675I
b = −0.710597 + 0.173236I
−0.16323 + 2.68133I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.348831 + 1.186080I
a = 0.30683 + 1.61592I
b = 0.557400 − 0.988723I
5.76630 + 2.12507I 0
u = −0.348831 − 1.186080I
a = 0.30683 − 1.61592I
b = 0.557400 + 0.988723I
5.76630 − 2.12507I 0
u = −0.097341 + 0.757181I
a = −2.06523 − 1.15859I
b = 1.54580 + 0.48323I
0.78761 + 3.26692I 0
u = −0.097341 − 0.757181I
a = −2.06523 + 1.15859I
b = 1.54580 − 0.48323I
0.78761 − 3.26692I 0
u = −0.203585 + 1.222570I
a = 0.867811 − 0.804950I
b = −0.405179 + 0.098559I
3.04210 + 0.35319I 0
u = −0.203585 − 1.222570I
a = 0.867811 + 0.804950I
b = −0.405179 − 0.098559I
3.04210 − 0.35319I 0
u = 0.634954 + 1.069320I
a = 0.488721 − 0.743619I
b = 0.505751 + 0.360321I
−0.15354 − 3.57414I 0
u = 0.634954 − 1.069320I
a = 0.488721 + 0.743619I
b = 0.505751 − 0.360321I
−0.15354 + 3.57414I 0
u = −1.206010 + 0.331830I
a = 0.0558816 − 0.0711270I
b = 0.990725 + 0.978209I
3.0478 − 14.9833I 0
u = −1.206010 − 0.331830I
a = 0.0558816 + 0.0711270I
b = 0.990725 − 0.978209I
3.0478 + 14.9833I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.058524 + 0.744824I
a = −1.43585 − 0.89582I
b = −0.869890 + 0.351887I
−0.301261 + 1.229510I 0
u = 0.058524 − 0.744824I
a = −1.43585 + 0.89582I
b = −0.869890 − 0.351887I
−0.301261 − 1.229510I 0
u = −0.601500 + 1.099960I
a = 0.681507 + 0.857407I
b = 0.654376 − 0.371350I
1.76952 + 8.45386I 0
u = −0.601500 − 1.099960I
a = 0.681507 − 0.857407I
b = 0.654376 + 0.371350I
1.76952 − 8.45386I 0
u = −0.381684 + 1.195890I
a = −0.905709 + 0.110638I
b = −0.965455 − 0.074361I
0.25910 + 4.80069I 0
u = −0.381684 − 1.195890I
a = −0.905709 − 0.110638I
b = −0.965455 + 0.074361I
0.25910 − 4.80069I 0
u = 0.336457 + 1.211920I
a = −0.26744 − 1.68898I
b = 1.75890 + 1.32414I
3.90256 − 4.52846I 0
u = 0.336457 − 1.211920I
a = −0.26744 + 1.68898I
b = 1.75890 − 1.32414I
3.90256 + 4.52846I 0
u = 0.254664 + 0.696847I
a = −1.19758 + 1.89859I
b = 0.715320 − 0.093330I
6.54350 − 6.39010I 0
u = 0.254664 − 0.696847I
a = −1.19758 − 1.89859I
b = 0.715320 + 0.093330I
6.54350 + 6.39010I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.379306 + 1.200280I
a = 0.01465 + 1.76699I
b = 1.41277 − 0.88199I
10.40300 + 8.29257I 0
u = −0.379306 − 1.200280I
a = 0.01465 − 1.76699I
b = 1.41277 + 0.88199I
10.40300 − 8.29257I 0
u = −0.460542 + 1.172540I
a = 0.02031 + 1.82437I
b = 0.786554 − 0.803209I
2.93823 + 8.94478I 0
u = −0.460542 − 1.172540I
a = 0.02031 − 1.82437I
b = 0.786554 + 0.803209I
2.93823 − 8.94478I 0
u = −0.668369 + 0.308879I
a = 0.904485 − 0.802623I
b = 0.619706 + 0.194305I
−0.71131 − 3.61406I 0
u = −0.668369 − 0.308879I
a = 0.904485 + 0.802623I
b = 0.619706 − 0.194305I
−0.71131 + 3.61406I 0
u = −0.561222 + 1.141330I
a = 0.506369 + 1.259790I
b = 0.600453 − 0.407068I
1.70699 + 8.42036I 0
u = −0.561222 − 1.141330I
a = 0.506369 − 1.259790I
b = 0.600453 + 0.407068I
1.70699 − 8.42036I 0
u = −0.461896 + 1.193020I
a = −1.102830 − 0.682736I
b = 1.34479 + 1.53713I
6.46586 + 12.35360I 0
u = −0.461896 − 1.193020I
a = −1.102830 + 0.682736I
b = 1.34479 − 1.53713I
6.46586 − 12.35360I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.427541 + 1.209660I
a = −0.14767 − 1.85223I
b = 1.049110 + 0.764170I
5.26407 − 11.34850I 0
u = 0.427541 − 1.209660I
a = −0.14767 + 1.85223I
b = 1.049110 − 0.764170I
5.26407 + 11.34850I 0
u = −0.384409 + 1.225120I
a = −0.048322 − 1.019570I
b = −0.245105 + 0.263229I
2.95337 + 0.06268I 0
u = −0.384409 − 1.225120I
a = −0.048322 + 1.019570I
b = −0.245105 − 0.263229I
2.95337 − 0.06268I 0
u = −0.482985 + 1.191520I
a = −0.39402 − 1.43019I
b = −0.274572 + 1.119850I
4.75760 + 6.84873I 0
u = −0.482985 − 1.191520I
a = −0.39402 + 1.43019I
b = −0.274572 − 1.119850I
4.75760 − 6.84873I 0
u = 0.595999 + 0.374862I
a = 2.26074 − 0.98691I
b = 0.582855 − 0.320738I
−2.23241 − 1.98329I 0
u = 0.595999 − 0.374862I
a = 2.26074 + 0.98691I
b = 0.582855 + 0.320738I
−2.23241 + 1.98329I 0
u = −0.077628 + 0.696061I
a = 0.114180 − 0.632150I
b = −1.286750 + 0.351882I
−1.29674 + 2.30192I 0
u = −0.077628 − 0.696061I
a = 0.114180 + 0.632150I
b = −1.286750 − 0.351882I
−1.29674 − 2.30192I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.671990 + 0.189802I
a = 0.176074 − 0.617831I
b = 1.108730 + 0.473883I
1.50982 − 7.39147I 0
u = 0.671990 − 0.189802I
a = 0.176074 + 0.617831I
b = 1.108730 − 0.473883I
1.50982 + 7.39147I 0
u = 0.709676 + 1.097620I
a = −0.389280 − 0.368650I
b = 0.741607 + 0.097967I
3.87531 + 2.29819I 0
u = 0.709676 − 1.097620I
a = −0.389280 + 0.368650I
b = 0.741607 − 0.097967I
3.87531 − 2.29819I 0
u = −0.672374 + 0.089529I
a = 0.564762 + 0.248856I
b = −0.284104 − 0.642924I
1.57728 − 2.45922I 0
u = −0.672374 − 0.089529I
a = 0.564762 − 0.248856I
b = −0.284104 + 0.642924I
1.57728 + 2.45922I 0
u = 0.581454 + 1.193070I
a = −0.40917 + 1.44514I
b = −0.94969 − 1.56508I
1.84181 − 4.55391I 0
u = 0.581454 − 1.193070I
a = −0.40917 − 1.44514I
b = −0.94969 + 1.56508I
1.84181 + 4.55391I 0
u = −0.668247 + 0.043825I
a = 2.58490 − 0.03570I
b = 0.830519 + 0.803623I
3.09049 + 8.10047I 0
u = −0.668247 − 0.043825I
a = 2.58490 + 0.03570I
b = 0.830519 − 0.803623I
3.09049 − 8.10047I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.335160 + 0.160823I
a = 0.1326790 + 0.0274867I
b = 0.168704 − 0.500417I
0.51464 − 1.80604I 0
u = −1.335160 − 0.160823I
a = 0.1326790 − 0.0274867I
b = 0.168704 + 0.500417I
0.51464 + 1.80604I 0
u = 0.558722 + 0.329640I
a = 0.671529 − 0.109887I
b = −0.973920 + 0.702818I
−0.56697 + 2.21245I 0
u = 0.558722 − 0.329640I
a = 0.671529 + 0.109887I
b = −0.973920 − 0.702818I
−0.56697 − 2.21245I 0
u = −0.634573 + 1.194770I
a = −0.32823 − 1.62918I
b = −1.21595 + 1.21119I
−1.38896 + 9.45415I 0
u = −0.634573 − 1.194770I
a = −0.32823 + 1.62918I
b = −1.21595 − 1.21119I
−1.38896 − 9.45415I 0
u = 0.435164 + 1.286900I
a = −1.185310 + 0.722579I
b = 1.56806 − 2.05717I
2.50698 − 5.67361I 0
u = 0.435164 − 1.286900I
a = −1.185310 − 0.722579I
b = 1.56806 + 2.05717I
2.50698 + 5.67361I 0
u = 0.613178 + 1.213040I
a = −0.31498 + 1.69616I
b = −1.28502 − 1.17213I
2.6972 − 14.5862I 0
u = 0.613178 − 1.213040I
a = −0.31498 − 1.69616I
b = −1.28502 + 1.17213I
2.6972 + 14.5862I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.296170 + 0.411745I
a = 0.0903180 + 0.0414172I
b = 0.967479 − 1.030600I
−1.04258 + 8.25362I 0
u = 1.296170 − 0.411745I
a = 0.0903180 − 0.0414172I
b = 0.967479 + 1.030600I
−1.04258 − 8.25362I 0
u = −0.508097 + 1.262730I
a = 0.152128 + 0.828474I
b = 1.76030 − 0.18925I
6.25351 − 3.39193I 0
u = −0.508097 − 1.262730I
a = 0.152128 − 0.828474I
b = 1.76030 + 0.18925I
6.25351 + 3.39193I 0
u = −0.563662 + 1.241960I
a = −0.798915 − 0.502119I
b = 0.719469 + 1.155640I
9.06739 + 0.72792I 0
u = −0.563662 − 1.241960I
a = −0.798915 + 0.502119I
b = 0.719469 − 1.155640I
9.06739 − 0.72792I 0
u = 0.589614 + 1.235560I
a = −0.125625 − 0.641015I
b = −1.043920 + 0.723909I
4.07073 + 2.49659I 0
u = 0.589614 − 1.235560I
a = −0.125625 + 0.641015I
b = −1.043920 − 0.723909I
4.07073 − 2.49659I 0
u = −0.058364 + 1.377480I
a = −0.582349 − 1.241030I
b = 0.586573 + 1.113770I
13.04130 + 1.00945I 0
u = −0.058364 − 1.377480I
a = −0.582349 + 1.241030I
b = 0.586573 − 1.113770I
13.04130 − 1.00945I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.446385 + 0.425227I
a = 0.296899 + 0.399004I
b = 0.338504 − 0.582756I
1.52104 − 0.87498I 4.25529 + 0.I
u = −0.446385 − 0.425227I
a = 0.296899 − 0.399004I
b = 0.338504 + 0.582756I
1.52104 + 0.87498I 4.25529 + 0.I
u = 0.598460 + 0.035071I
a = 0.366068 + 0.380865I
b = 0.336761 − 0.886839I
4.13568 − 2.35246I 2.84519 + 1.09735I
u = 0.598460 − 0.035071I
a = 0.366068 − 0.380865I
b = 0.336761 + 0.886839I
4.13568 + 2.35246I 2.84519 − 1.09735I
u = 0.509454 + 0.314678I
a = −0.33608 + 1.90488I
b = 0.561022 − 0.718574I
5.78863 + 6.01635I 4.57629 − 7.18754I
u = 0.509454 − 0.314678I
a = −0.33608 − 1.90488I
b = 0.561022 + 0.718574I
5.78863 − 6.01635I 4.57629 + 7.18754I
u = 0.466570 + 0.367452I
a = 0.620325 + 0.482046I
b = −1.089140 + 0.052882I
−1.49043 − 0.14573I −5.49169 + 1.16747I
u = 0.466570 − 0.367452I
a = 0.620325 − 0.482046I
b = −1.089140 − 0.052882I
−1.49043 + 0.14573I −5.49169 − 1.16747I
u = 0.572089 + 0.131415I
a = 0.684429 + 0.373560I
b = −0.680899 + 0.012113I
−1.44903 − 0.38660I −7.17109 + 0.I
u = 0.572089 − 0.131415I
a = 0.684429 − 0.373560I
b = −0.680899 − 0.012113I
−1.44903 + 0.38660I −7.17109 + 0.I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.540648 + 0.017482I
a = 0.009628 − 0.775056I
b = 0.959140 + 0.432346I
−0.19218 − 4.86093I −1.80376 + 1.93698I
u = −0.540648 − 0.017482I
a = 0.009628 + 0.775056I
b = 0.959140 − 0.432346I
−0.19218 + 4.86093I −1.80376 − 1.93698I
u = −0.68803 + 1.29203I
a = 0.31971 + 1.58043I
b = 1.18747 − 1.13646I
6.1236 + 21.6470I 0
u = −0.68803 − 1.29203I
a = 0.31971 − 1.58043I
b = 1.18747 + 1.13646I
6.1236 − 21.6470I 0
u = −0.83795 + 1.22455I
a = 0.64462 + 1.39769I
b = 1.23399 − 1.02054I
7.41100 + 8.58787I 0
u = −0.83795 − 1.22455I
a = 0.64462 − 1.39769I
b = 1.23399 + 1.02054I
7.41100 − 8.58787I 0
u = −0.059096 + 0.509810I
a = −1.078660 + 0.088711I
b = 1.318520 − 0.412218I
−0.10715 + 4.59962I −4.68881 + 4.17350I
u = −0.059096 − 0.509810I
a = −1.078660 − 0.088711I
b = 1.318520 + 0.412218I
−0.10715 − 4.59962I −4.68881 − 4.17350I
u = −0.78855 + 1.26275I
a = −0.252200 − 0.684541I
b = −0.428645 + 0.566653I
2.61750 + 7.35292I 0
u = −0.78855 − 1.26275I
a = −0.252200 + 0.684541I
b = −0.428645 − 0.566653I
2.61750 − 7.35292I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.72050 + 1.30890I
a = 0.36372 − 1.48117I
b = 1.19416 + 1.12045I
1.9532 − 15.3047I 0
u = 0.72050 − 1.30890I
a = 0.36372 + 1.48117I
b = 1.19416 − 1.12045I
1.9532 + 15.3047I 0
u = −1.49584
a = −1.63582
b = −1.40925
−5.15163 0
u = 1.48758 + 0.23844I
a = 0.0814152 − 0.0209093I
b = −0.421732 + 0.531278I
1.60057 − 3.70470I 0
u = 1.48758 − 0.23844I
a = 0.0814152 + 0.0209093I
b = −0.421732 − 0.531278I
1.60057 + 3.70470I 0
u = 0.64638 + 1.38863I
a = −0.147084 + 1.042020I
b = −0.659697 − 0.969720I
5.48816 − 3.54710I 0
u = 0.64638 − 1.38863I
a = −0.147084 − 1.042020I
b = −0.659697 + 0.969720I
5.48816 + 3.54710I 0
u = 0.080308 + 0.448297I
a = 0.68979 + 7.13848I
b = 0.034056 + 0.300601I
2.75535 + 7.78765I −13.14931 − 4.55401I
u = 0.080308 − 0.448297I
a = 0.68979 − 7.13848I
b = 0.034056 − 0.300601I
2.75535 − 7.78765I −13.14931 + 4.55401I
u = −0.120326 + 0.435231I
a = 1.95422 − 5.33601I
b = −0.209535 − 0.275499I
−2.54429 − 2.22103I −9.24580 − 5.84735I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.120326 − 0.435231I
a = 1.95422 + 5.33601I
b = −0.209535 + 0.275499I
−2.54429 + 2.22103I −9.24580 + 5.84735I
u = −0.07282 + 1.54747I
a = −0.269660 + 1.068680I
b = 0.555465 − 1.165150I
7.34760 + 3.32828I 0
u = −0.07282 − 1.54747I
a = −0.269660 − 1.068680I
b = 0.555465 + 1.165150I
7.34760 − 3.32828I 0
u = −0.181312 + 0.408468I
a = −1.012080 − 0.822870I
b = 1.20306 + 0.75387I
1.01415 − 7.46215I −8.89761 + 6.52180I
u = −0.181312 − 0.408468I
a = −1.012080 + 0.822870I
b = 1.20306 − 0.75387I
1.01415 + 7.46215I −8.89761 − 6.52180I
u = 0.77669 + 1.37912I
a = −0.002777 + 0.696829I
b = −0.630604 − 0.478093I
5.87152 − 12.02900I 0
u = 0.77669 − 1.37912I
a = −0.002777 − 0.696829I
b = −0.630604 + 0.478093I
5.87152 + 12.02900I 0
u = 1.60920
a = 1.45093
b = 2.63032
−3.00658 0
u = 0.37375 + 1.57459I
a = 0.107308 + 0.277988I
b = −0.254024 − 0.346282I
1.06582 − 2.09893I 0
u = 0.37375 − 1.57459I
a = 0.107308 − 0.277988I
b = −0.254024 + 0.346282I
1.06582 + 2.09893I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07693 + 1.61837I
a = −0.377509 − 0.851985I
b = 0.466238 + 1.078860I
10.3676 − 9.7400I 0
u = −0.07693 − 1.61837I
a = −0.377509 + 0.851985I
b = 0.466238 − 1.078860I
10.3676 + 9.7400I 0
u = −0.76199 + 2.28654I
a = 0.0049471 − 0.0411928I
b = −0.0729500 + 0.0709115I
1.22621 − 2.11352I 0
u = −0.76199 − 2.28654I
a = 0.0049471 + 0.0411928I
b = −0.0729500 − 0.0709115I
1.22621 + 2.11352I 0
24
II.
I
u
2
= h−3.13×10
52
u
51
−1.42×10
53
u
50
+· · ·+2.35×10
51
b+1.26×10
53
, −2.99×
10
53
u
51
−7.65×10
53
u
50
+· · ·+2.35×10
51
a−3.67×10
53
, u
52
+3u
51
+· · ·+2u−1i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
2
=
127.147u
51
+ 325.478u
50
+ ··· − 617.051u + 156.255
13.3174u
51
+ 60.6329u
50
+ ··· + 73.7637u − 53.7427
a
5
=
1
u
2
a
6
=
−24.8725u
51
+ 62.5103u
50
+ ··· + 890.018u − 440.467
33.9913u
51
+ 74.9708u
50
+ ··· − 234.169u + 64.9728
a
1
=
140.465u
51
+ 386.111u
50
+ ··· − 543.287u + 102.513
13.3174u
51
+ 60.6329u
50
+ ··· + 73.7637u − 53.7427
a
7
=
7.24351u
51
− 25.1264u
50
+ ··· − 327.441u + 142.932
−12.6999u
51
− 104.989u
50
+ ··· − 387.484u + 171.985
a
12
=
−60.8549u
51
− 263.855u
50
+ ··· + 2.06746u + 124.455
1.15973u
51
+ 22.8231u
50
+ ··· + 158.606u − 75.4640
a
3
=
5.68045u
51
− 30.3946u
50
+ ··· − 421.907u + 201.362
−2.90637u
51
+ 48.6113u
50
+ ··· + 367.363u − 151.952
a
10
=
u
u
3
+ u
a
8
=
22.3159u
51
+ 33.9207u
50
+ ··· − 277.983u + 108.199
−5.44823u
51
− 74.8445u
50
+ ··· − 350.614u + 151.081
a
9
=
−164.883u
51
− 423.314u
50
+ ··· + 612.479u − 191.125
−55.3309u
51
− 177.276u
50
+ ··· + 23.5373u + 47.3617
(ii) Obstruction class = 1
(iii) Cusp Shapes = 354.327u
51
+ 718.875u
50
+ ··· − 2587.44u + 925.930
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
52
+ u
51
+ ··· − 16u − 1
c
2
u
52
− 6u
51
+ ··· − 3u + 1
c
3
u
52
+ 4u
51
+ ··· − 3u + 1
c
4
u
52
+ 3u
51
+ ··· + 2u − 1
c
5
u
52
+ 7u
51
+ ··· + 12u − 1
c
6
u
52
− u
51
+ ··· − 5u
2
− 1
c
7
u
52
+ 16u
51
+ ··· + 20u + 1
c
8
u
52
+ 6u
51
+ ··· + 3u + 1
c
9
u
52
− 6u
51
+ ··· − 221u + 29
c
10
u
52
− 3u
51
+ ··· − 2u − 1
c
11
u
52
+ 11u
51
+ ··· + 4u − 1
c
12
u
52
+ 6u
51
+ ··· + 221u + 29
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
52
− 9y
51
+ ··· − 294y + 1
c
2
, c
8
y
52
− 48y
51
+ ··· − 45y + 1
c
3
y
52
− 60y
51
+ ··· + 41y + 1
c
4
, c
10
y
52
+ 33y
51
+ ··· + 30y + 1
c
5
y
52
− 51y
51
+ ··· − 26y + 1
c
6
y
52
+ 13y
51
+ ··· + 10y + 1
c
7
y
52
+ 18y
51
+ ··· − 152y + 1
c
9
, c
12
y
52
+ 24y
51
+ ··· + 21629y + 841
c
11
y
52
+ 75y
51
+ ··· − 96y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.579661 + 0.849227I
a = −0.56713 − 2.23369I
b = −0.730254 + 1.184520I
2.30906 + 6.97098I 0
u = −0.579661 − 0.849227I
a = −0.56713 + 2.23369I
b = −0.730254 − 1.184520I
2.30906 − 6.97098I 0
u = 0.474504 + 0.921857I
a = −1.220690 − 0.134607I
b = −0.658607 − 0.106208I
−0.42828 − 2.90162I 0
u = 0.474504 − 0.921857I
a = −1.220690 + 0.134607I
b = −0.658607 + 0.106208I
−0.42828 + 2.90162I 0
u = −1.018410 + 0.226049I
a = 0.0245646 + 0.1116650I
b = 0.737367 − 0.548866I
−0.52916 + 6.11063I 0
u = −1.018410 − 0.226049I
a = 0.0245646 − 0.1116650I
b = 0.737367 + 0.548866I
−0.52916 − 6.11063I 0
u = 0.537408 + 0.708857I
a = −0.218950 + 0.866255I
b = −1.098910 − 0.188769I
−2.64127 − 2.17989I −10.14166 + 4.66337I
u = 0.537408 − 0.708857I
a = −0.218950 − 0.866255I
b = −1.098910 + 0.188769I
−2.64127 + 2.17989I −10.14166 − 4.66337I
u = 0.029211 + 0.866576I
a = −3.09930 + 0.94923I
b = −1.049370 + 0.002255I
1.289370 − 0.084237I −77.1002 − 28.7874I
u = 0.029211 − 0.866576I
a = −3.09930 − 0.94923I
b = −1.049370 − 0.002255I
1.289370 + 0.084237I −77.1002 + 28.7874I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.820964 + 0.276756I
a = −0.130109 − 0.736876I
b = −0.879895 − 0.688889I
−0.55517 + 1.71903I −6.21620 − 3.01184I
u = −0.820964 − 0.276756I
a = −0.130109 + 0.736876I
b = −0.879895 + 0.688889I
−0.55517 − 1.71903I −6.21620 + 3.01184I
u = −0.223914 + 1.131690I
a = −0.576144 + 0.058231I
b = 0.710069 + 0.001159I
1.41597 − 2.02298I 0
u = −0.223914 − 1.131690I
a = −0.576144 − 0.058231I
b = 0.710069 − 0.001159I
1.41597 + 2.02298I 0
u = −0.445127 + 1.079250I
a = −0.132092 + 0.966754I
b = −0.845439 − 0.710992I
3.27814 − 2.53474I 0
u = −0.445127 − 1.079250I
a = −0.132092 − 0.966754I
b = −0.845439 + 0.710992I
3.27814 + 2.53474I 0
u = 0.599002 + 1.021230I
a = 0.64374 − 2.01348I
b = 0.949869 + 0.781298I
6.25971 − 8.25449I 0
u = 0.599002 − 1.021230I
a = 0.64374 + 2.01348I
b = 0.949869 − 0.781298I
6.25971 + 8.25449I 0
u = −0.296370 + 1.146410I
a = 0.46818 + 2.13110I
b = 0.64289 − 2.37983I
4.38954 + 4.20449I 0
u = −0.296370 − 1.146410I
a = 0.46818 − 2.13110I
b = 0.64289 + 2.37983I
4.38954 − 4.20449I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.531394 + 1.081660I
a = −0.04279 + 1.85349I
b = −1.02065 − 1.27609I
−0.21787 − 6.19658I 0
u = 0.531394 − 1.081660I
a = −0.04279 − 1.85349I
b = −1.02065 + 1.27609I
−0.21787 + 6.19658I 0
u = −0.610098 + 1.061560I
a = −0.941640 − 0.734262I
b = −0.562002 + 0.398964I
2.08533 + 8.58957I 0
u = −0.610098 − 1.061560I
a = −0.941640 + 0.734262I
b = −0.562002 − 0.398964I
2.08533 − 8.58957I 0
u = −0.384267 + 1.181540I
a = −0.20873 + 1.86172I
b = 0.805500 − 1.008240I
4.09432 + 9.80119I 0
u = −0.384267 − 1.181540I
a = −0.20873 − 1.86172I
b = 0.805500 + 1.008240I
4.09432 − 9.80119I 0
u = −0.047383 + 0.733551I
a = −1.39542 − 2.79203I
b = 0.92076 + 1.52638I
2.37030 − 2.58925I −7.84854 − 1.56847I
u = −0.047383 − 0.733551I
a = −1.39542 + 2.79203I
b = 0.92076 − 1.52638I
2.37030 + 2.58925I −7.84854 + 1.56847I
u = 0.477675 + 1.203030I
a = 0.311871 + 0.581738I
b = 0.430792 − 0.487366I
6.44172 − 10.35310I 0
u = 0.477675 − 1.203030I
a = 0.311871 − 0.581738I
b = 0.430792 + 0.487366I
6.44172 + 10.35310I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622619 + 1.140100I
a = 0.429944 − 0.416763I
b = 1.354680 − 0.261402I
6.56048 + 2.88697I 0
u = 0.622619 − 1.140100I
a = 0.429944 + 0.416763I
b = 1.354680 + 0.261402I
6.56048 − 2.88697I 0
u = −0.201843 + 0.659900I
a = −0.298436 + 0.459515I
b = 1.300010 − 0.408362I
0.07327 + 4.98293I 3.94449 − 12.32140I
u = −0.201843 − 0.659900I
a = −0.298436 − 0.459515I
b = 1.300010 + 0.408362I
0.07327 − 4.98293I 3.94449 + 12.32140I
u = −0.472515 + 1.234580I
a = −0.748309 − 0.768992I
b = 0.84485 + 1.49920I
2.42547 + 5.42025I 0
u = −0.472515 − 1.234580I
a = −0.748309 + 0.768992I
b = 0.84485 − 1.49920I
2.42547 − 5.42025I 0
u = 0.609761 + 0.122261I
a = −0.168359 − 0.572535I
b = −0.890703 − 0.384729I
−2.29696 − 2.01531I −9.41881 + 3.80610I
u = 0.609761 − 0.122261I
a = −0.168359 + 0.572535I
b = −0.890703 + 0.384729I
−2.29696 + 2.01531I −9.41881 − 3.80610I
u = −0.091974 + 0.614988I
a = 0.099981 − 0.754323I
b = 1.185400 + 0.690406I
1.43167 − 7.45116I 10.14342 + 5.53273I
u = −0.091974 − 0.614988I
a = 0.099981 + 0.754323I
b = 1.185400 − 0.690406I
1.43167 + 7.45116I 10.14342 − 5.53273I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.453240 + 0.394790I
a = 1.026270 + 0.475581I
b = −1.209500 + 0.543702I
−2.25094 + 1.84871I −10.19554 − 3.58711I
u = 0.453240 − 0.394790I
a = 1.026270 − 0.475581I
b = −1.209500 − 0.543702I
−2.25094 − 1.84871I −10.19554 + 3.58711I
u = −0.128932 + 1.400900I
a = 0.625907 − 0.507345I
b = −0.453740 + 0.267587I
2.94790 + 0.76482I 0
u = −0.128932 − 1.400900I
a = 0.625907 + 0.507345I
b = −0.453740 − 0.267587I
2.94790 − 0.76482I 0
u = 0.030060 + 0.587408I
a = −1.47425 − 6.02281I
b = −0.079298 + 0.633002I
3.02865 + 7.83881I 15.2567 − 9.4978I
u = 0.030060 − 0.587408I
a = −1.47425 + 6.02281I
b = −0.079298 − 0.633002I
3.02865 − 7.83881I 15.2567 + 9.4978I
u = 1.46303
a = −1.68153
b = −1.39069
−5.19335 0
u = 0.146196 + 0.479561I
a = −3.28391 + 2.86555I
b = −0.588663 − 0.491566I
−2.42203 − 2.62854I −4.98112 + 10.65715I
u = 0.146196 − 0.479561I
a = −3.28391 − 2.86555I
b = −0.588663 + 0.491566I
−2.42203 + 2.62854I −4.98112 − 10.65715I
u = −1.61428
a = 1.43801
b = 2.60541
−2.99564 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.61399 + 2.24429I
a = −0.00243411 − 0.01017270I
b = 0.0774751 − 0.0192640I
1.22381 − 2.12155I 0
u = −0.61399 − 2.24429I
a = −0.00243411 + 0.01017270I
b = 0.0774751 + 0.0192640I
1.22381 + 2.12155I 0
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
52
+ u
51
+ ··· − 16u − 1)(u
194
− 22u
193
+ ··· − 21u − 2)
c
2
(u
52
− 6u
51
+ ··· − 3u + 1)(u
194
+ 7u
193
+ ··· + 54430u + 211369)
c
3
(u
52
+ 4u
51
+ ··· − 3u + 1)(u
194
− 23u
193
+ ··· − 122u + 4)
c
4
(u
52
+ 3u
51
+ ··· + 2u − 1)(u
194
− 2u
193
+ ··· + 655u − 481)
c
5
(u
52
+ 7u
51
+ ··· + 12u − 1)(u
194
+ 2u
193
+ ··· + 401163u − 24353)
c
6
(u
52
− u
51
+ ··· − 5u
2
− 1)(u
194
+ 4u
193
+ ··· − 5730703u − 207001)
c
7
(u
52
+ 16u
51
+ ··· + 20u + 1)
· (u
194
+ 3u
193
+ ··· + 15352307260u + 814469648)
c
8
(u
52
+ 6u
51
+ ··· + 3u + 1)(u
194
+ 7u
193
+ ··· + 54430u + 211369)
c
9
(u
52
− 6u
51
+ ··· − 221u + 29)
· (u
194
− 7u
193
+ ··· − 2210969u + 115748)
c
10
(u
52
− 3u
51
+ ··· − 2u − 1)(u
194
− 2u
193
+ ··· + 655u − 481)
c
11
(u
52
+ 11u
51
+ ··· + 4u − 1)(u
194
− 16u
193
+ ··· − 988503u + 59801)
c
12
(u
52
+ 6u
51
+ ··· + 221u + 29)
· (u
194
− 7u
193
+ ··· − 2210969u + 115748)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
52
− 9y
51
+ ··· − 294y + 1)(y
194
− 12y
193
+ ··· + 111y + 4)
c
2
, c
8
(y
52
− 48y
51
+ ··· − 45y + 1)
· (y
194
− 131y
193
+ ··· − 1961771990150y + 44676854161)
c
3
(y
52
− 60y
51
+ ··· + 41y + 1)(y
194
− 55y
193
+ ··· − 2140y + 16)
c
4
, c
10
(y
52
+ 33y
51
+ ··· + 30y + 1)
· (y
194
+ 110y
193
+ ··· + 12580101y + 231361)
c
5
(y
52
− 51y
51
+ ··· − 26y + 1)
· (y
194
− 34y
193
+ ··· + 42235244289y + 593068609)
c
6
(y
52
+ 13y
51
+ ··· + 10y + 1)
· (y
194
+ 26y
193
+ ··· − 729590165583y + 42849414001)
c
7
(y
52
+ 18y
51
+ ··· − 152y + 1)
· (y
194
− 17y
193
+ ··· − 1.29 × 10
20
y + 6.63 × 10
17
)
c
9
, c
12
(y
52
+ 24y
51
+ ··· + 21629y + 841)
· (y
194
+ 117y
193
+ ··· − 316216846553y + 13397599504)
c
11
(y
52
+ 75y
51
+ ··· − 96y + 1)
· (y
194
+ 52y
193
+ ··· − 607267799989y + 3576159601)
37
