12a
1231
(K12a
1231
)
A knot diagram
1
Linearized knot diagam
5 6 8 1 10 11 12 4 2 3 7 9
Solving Sequence
6,11
7 12
3,8
4 2 10 5 1 9
c
6
c
11
c
7
c
3
c
2
c
10
c
5
c
1
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.99754 × 10
289
u
111
+ 1.22647 × 10
289
u
110
+ ··· + 2.03815 × 10
287
b − 6.40655 × 10
289
,
1.12492 × 10
290
u
111
+ 8.47128 × 10
289
u
110
+ ··· + 2.03815 × 10
287
a − 2.42251 × 10
290
,
2u
112
+ u
111
+ ··· − 30u + 1i
I
u
2
= h−32u
15
− 74u
14
+ ··· + 43b + 23, −40u
15
− 28u
14
+ ··· + 43a − 68, 2u
16
+ 3u
15
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 128 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
= h2.00 × 10
289
u
111
+ 1.23 × 10
289
u
110
+ · · · + 2.04 × 10
287
b − 6.41 ×
10
289
, 1.12 × 10
290
u
111
+ 8.47 × 10
289
u
110
+ · · · + 2.04 × 10
287
a − 2.42 ×
10
290
, 2u
112
+ u
111
+ · · · − 30u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
7
=
1
−u
2
a
12
=
u
−u
3
+ u
a
3
=
−551.935u
111
− 415.637u
110
+ ··· − 29550.2u + 1188.58
−98.0077u
111
− 60.1758u
110
+ ··· − 7598.38u + 314.332
a
8
=
−u
2
+ 1
u
4
− 2u
2
a
4
=
−394.383u
111
− 312.399u
110
+ ··· − 18944.3u + 760.560
−105.829u
111
− 65.1082u
110
+ ··· − 8246.34u + 341.293
a
2
=
−453.928u
111
− 355.461u
110
+ ··· − 21951.8u + 874.251
−98.0077u
111
− 60.1758u
110
+ ··· − 7598.38u + 314.332
a
10
=
908.353u
111
+ 637.752u
110
+ ··· + 52318.5u − 2021.35
30.7684u
111
+ 20.7117u
110
+ ··· + 2266.98u − 91.6692
a
5
=
−1139.83u
111
− 842.942u
110
+ ··· − 59872.7u + 2318.75
−92.0889u
111
− 59.4474u
110
+ ··· − 6446.70u + 256.944
a
1
=
1108.35u
111
+ 819.201u
110
+ ··· + 58304.1u − 2258.52
99.3976u
111
+ 64.4297u
110
+ ··· + 7036.59u − 281.533
a
9
=
552.407u
111
+ 373.353u
110
+ ··· + 35614.1u − 1396.31
−38.5186u
111
− 24.3200u
110
+ ··· − 3107.36u + 134.687
(ii) Obstruction class = −1
(iii) Cusp Shapes = 353.645u
111
+ 195.115u
110
+ ··· + 38493.2u − 1748.36
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
2(2u
112
− 3u
111
+ ··· + 6u − 1)
c
2
u
112
+ u
111
+ ··· + 33183u + 20078
c
3
, c
8
u
112
− 4u
111
+ ··· − 18821u − 1439
c
5
2(2u
112
− 5u
111
+ ··· + 1262u − 211)
c
6
, c
7
, c
11
2(2u
112
− u
111
+ ··· + 30u + 1)
c
9
u
112
− 5u
110
+ ··· − 17u + 1
c
10
u
112
− 3u
111
+ ··· + 1445u + 116
c
12
u
112
− 3u
111
+ ··· + 4391u − 2366
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
4(4y
112
− 365y
111
+ ··· − 942y + 1)
c
2
y
112
− 51y
111
+ ··· − 21359572553y + 403126084
c
3
, c
8
y
112
− 92y
111
+ ··· − 91920487y + 2070721
c
5
4(4y
112
− 121y
111
+ ··· − 1692236y + 44521)
c
6
, c
7
, c
11
4(4y
112
− 457y
111
+ ··· − 108y + 1)
c
9
y
112
− 10y
111
+ ··· − 1271y + 1
c
10
y
112
+ 9y
111
+ ··· − 1322657y + 13456
c
12
y
112
+ 21y
111
+ ··· + 215563547y + 5597956
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.590366 + 0.885349I
a = −0.102462 + 1.298050I
b = −1.11216 + 0.87568I
−6.8356 − 13.8442I 0
u = −0.590366 − 0.885349I
a = −0.102462 − 1.298050I
b = −1.11216 − 0.87568I
−6.8356 + 13.8442I 0
u = 0.387376 + 0.820027I
a = 0.801976 + 0.900426I
b = 0.781284 + 0.066752I
−3.17183 + 5.58573I 0
u = 0.387376 − 0.820027I
a = 0.801976 − 0.900426I
b = 0.781284 − 0.066752I
−3.17183 − 5.58573I 0
u = −0.950565 + 0.582823I
a = 0.885922 + 0.749010I
b = −1.100390 + 0.730571I
−6.07516 + 1.98826I 0
u = −0.950565 − 0.582823I
a = 0.885922 − 0.749010I
b = −1.100390 − 0.730571I
−6.07516 − 1.98826I 0
u = −0.539116 + 0.977111I
a = 0.196917 − 1.010420I
b = 1.002550 − 0.842221I
−0.90925 − 8.02423I 0
u = −0.539116 − 0.977111I
a = 0.196917 + 1.010420I
b = 1.002550 + 0.842221I
−0.90925 + 8.02423I 0
u = 1.092700 + 0.292344I
a = 0.299720 + 0.356342I
b = 0.547701 + 0.773817I
−1.53248 − 1.05574I 0
u = 1.092700 − 0.292344I
a = 0.299720 − 0.356342I
b = 0.547701 − 0.773817I
−1.53248 + 1.05574I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.569748 + 1.005160I
a = −0.600229 − 0.292334I
b = −0.782709 − 0.777145I
−6.96272 + 7.75772I 0
u = −0.569748 − 1.005160I
a = −0.600229 + 0.292334I
b = −0.782709 + 0.777145I
−6.96272 − 7.75772I 0
u = 0.508841 + 0.643434I
a = 0.24252 − 1.69762I
b = −0.517859 − 0.894564I
−7.91872 + 5.18418I 0
u = 0.508841 − 0.643434I
a = 0.24252 + 1.69762I
b = −0.517859 + 0.894564I
−7.91872 − 5.18418I 0
u = −1.091250 + 0.502566I
a = 0.295839 − 0.306431I
b = 0.629753 + 0.307422I
0.932453 + 0.972249I 0
u = −1.091250 − 0.502566I
a = 0.295839 + 0.306431I
b = 0.629753 − 0.307422I
0.932453 − 0.972249I 0
u = 0.761966 + 0.237108I
a = −1.217380 + 0.027406I
b = −1.100330 + 0.223061I
−5.06841 − 0.08229I 0
u = 0.761966 − 0.237108I
a = −1.217380 − 0.027406I
b = −1.100330 − 0.223061I
−5.06841 + 0.08229I 0
u = −0.233694 + 0.757943I
a = −0.310289 − 1.045990I
b = −0.679733 − 1.177870I
−8.18021 − 6.63313I 0
u = −0.233694 − 0.757943I
a = −0.310289 + 1.045990I
b = −0.679733 + 1.177870I
−8.18021 + 6.63313I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.439423 + 0.650359I
a = 0.15580 + 1.70235I
b = 0.736097 + 0.616610I
−3.30092 + 3.97805I 0
u = 0.439423 − 0.650359I
a = 0.15580 − 1.70235I
b = 0.736097 − 0.616610I
−3.30092 − 3.97805I 0
u = −0.534981 + 0.567137I
a = −0.582903 + 0.852307I
b = −0.771986 + 0.127212I
0.65467 − 1.94051I 0
u = −0.534981 − 0.567137I
a = −0.582903 − 0.852307I
b = −0.771986 − 0.127212I
0.65467 + 1.94051I 0
u = 0.561224 + 0.521086I
a = 0.04561 + 1.65702I
b = 1.077830 + 0.903388I
−1.78856 + 8.81527I 0
u = 0.561224 − 0.521086I
a = 0.04561 − 1.65702I
b = 1.077830 − 0.903388I
−1.78856 − 8.81527I 0
u = 0.476725 + 0.579061I
a = −1.06705 + 0.99583I
b = −0.390123 + 0.719749I
−7.95289 − 0.98790I 0
u = 0.476725 − 0.579061I
a = −1.06705 − 0.99583I
b = −0.390123 − 0.719749I
−7.95289 + 0.98790I 0
u = −0.744686 + 0.010412I
a = −0.900370 + 0.365272I
b = 0.523275 − 0.136180I
1.62810 − 0.09506I 0
u = −0.744686 − 0.010412I
a = −0.900370 − 0.365272I
b = 0.523275 + 0.136180I
1.62810 + 0.09506I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.558961 + 0.469651I
a = 0.086448 − 1.405570I
b = −1.112160 − 0.800844I
2.12676 + 4.19302I 0
u = 0.558961 − 0.469651I
a = 0.086448 + 1.405570I
b = −1.112160 + 0.800844I
2.12676 − 4.19302I 0
u = 0.333560 + 0.645536I
a = −0.60141 − 2.16439I
b = −0.966813 − 0.578879I
−6.44067 + 3.62679I 0
u = 0.333560 − 0.645536I
a = −0.60141 + 2.16439I
b = −0.966813 + 0.578879I
−6.44067 − 3.62679I 0
u = 0.183486 + 0.680996I
a = −0.199275 + 0.770862I
b = 0.707467 + 1.002360I
−1.70178 − 1.37820I 0
u = 0.183486 − 0.680996I
a = −0.199275 − 0.770862I
b = 0.707467 − 1.002360I
−1.70178 + 1.37820I 0
u = 0.613446 + 0.336149I
a = 1.071940 − 0.252155I
b = 0.733101 − 0.271972I
−2.67908 − 0.14330I 0
u = 0.613446 − 0.336149I
a = 1.071940 + 0.252155I
b = 0.733101 + 0.271972I
−2.67908 + 0.14330I 0
u = 0.160538 + 0.675799I
a = 1.37339 − 0.67453I
b = 0.822486 − 0.666790I
−3.00254 − 5.11079I 0
u = 0.160538 − 0.675799I
a = 1.37339 + 0.67453I
b = 0.822486 + 0.666790I
−3.00254 + 5.11079I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.298430 + 0.235302I
a = 0.102389 − 0.314641I
b = −0.08777 − 1.51926I
1.96152 + 4.82767I 0
u = 1.298430 − 0.235302I
a = 0.102389 + 0.314641I
b = −0.08777 + 1.51926I
1.96152 − 4.82767I 0
u = 1.343260 + 0.024703I
a = −0.79980 + 1.39977I
b = 1.038890 + 0.659096I
−0.12150 + 6.44986I 0
u = 1.343260 − 0.024703I
a = −0.79980 − 1.39977I
b = 1.038890 − 0.659096I
−0.12150 − 6.44986I 0
u = 1.366240 + 0.046024I
a = 0.560578 − 0.987074I
b = −1.091950 − 0.866032I
4.33941 + 2.95088I 0
u = 1.366240 − 0.046024I
a = 0.560578 + 0.987074I
b = −1.091950 + 0.866032I
4.33941 − 2.95088I 0
u = 1.36756
a = 1.72809
b = −1.32458
−3.87440 0
u = −1.375580 + 0.054428I
a = −0.058414 + 0.233208I
b = 0.85136 + 1.17842I
2.73981 − 0.95287I 0
u = −1.375580 − 0.054428I
a = −0.058414 − 0.233208I
b = 0.85136 − 1.17842I
2.73981 + 0.95287I 0
u = 1.39179
a = −0.665022
b = 2.65741
2.05074 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.391760 + 0.151237I
a = −0.346628 − 0.427342I
b = −0.538958 − 0.756680I
−2.05807 − 1.42124I 0
u = −1.391760 − 0.151237I
a = −0.346628 + 0.427342I
b = −0.538958 + 0.756680I
−2.05807 + 1.42124I 0
u = 1.383380 + 0.245331I
a = −0.200611 + 0.257569I
b = −0.27130 + 1.55987I
−3.06588 + 10.17870I 0
u = 1.383380 − 0.245331I
a = −0.200611 − 0.257569I
b = −0.27130 − 1.55987I
−3.06588 − 10.17870I 0
u = 1.405420 + 0.025980I
a = −0.354219 + 0.448139I
b = 1.72762 + 2.16535I
1.99770 − 0.22845I 0
u = 1.405420 − 0.025980I
a = −0.354219 − 0.448139I
b = 1.72762 − 2.16535I
1.99770 + 0.22845I 0
u = 0.465488 + 0.351819I
a = 0.023333 + 0.303003I
b = 0.930736 + 0.639447I
−1.84150 − 1.16696I 0
u = 0.465488 − 0.351819I
a = 0.023333 − 0.303003I
b = 0.930736 − 0.639447I
−1.84150 + 1.16696I 0
u = −1.42221 + 0.03410I
a = −0.842144 + 0.248954I
b = 1.123970 + 0.118692I
3.31166 − 0.09381I 0
u = −1.42221 − 0.03410I
a = −0.842144 − 0.248954I
b = 1.123970 − 0.118692I
3.31166 + 0.09381I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.30230 + 1.39371I
a = −0.297118 + 0.046754I
b = −0.387699 + 0.464785I
−0.486493 + 0.007462I 0
u = 0.30230 − 1.39371I
a = −0.297118 − 0.046754I
b = −0.387699 − 0.464785I
−0.486493 − 0.007462I 0
u = −1.43585 + 0.06329I
a = 0.832002 − 0.993622I
b = −0.807707 − 0.181747I
6.17126 − 3.60997I 0
u = −1.43585 − 0.06329I
a = 0.832002 + 0.993622I
b = −0.807707 + 0.181747I
6.17126 + 3.60997I 0
u = −1.43996
a = 0.0590229
b = −3.67297
1.33127 0
u = −1.44182 + 0.06731I
a = −0.63195 + 1.46857I
b = 0.664139 + 0.183670I
1.59046 − 7.35618I 0
u = −1.44182 − 0.06731I
a = −0.63195 − 1.46857I
b = 0.664139 − 0.183670I
1.59046 + 7.35618I 0
u = −0.149075 + 0.504192I
a = −0.94511 + 1.14088I
b = −0.610927 + 0.572174I
0.054414 − 1.368480I 0.99794 + 3.85630I
u = −0.149075 − 0.504192I
a = −0.94511 − 1.14088I
b = −0.610927 − 0.572174I
0.054414 + 1.368480I 0.99794 − 3.85630I
u = −1.46329 + 0.22171I
a = 0.72474 + 1.35578I
b = −1.044330 + 0.649176I
−0.58596 − 6.75157I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46329 − 0.22171I
a = 0.72474 − 1.35578I
b = −1.044330 − 0.649176I
−0.58596 + 6.75157I 0
u = −0.510457 + 0.086922I
a = 1.97887 − 1.81247I
b = −0.265064 + 0.377912I
−1.94431 − 2.13405I 2.32412 + 6.81583I
u = −0.510457 − 0.086922I
a = 1.97887 + 1.81247I
b = −0.265064 − 0.377912I
−1.94431 + 2.13405I 2.32412 − 6.81583I
u = −1.50348 + 0.22309I
a = −0.638772 − 1.061640I
b = 0.928579 − 0.720640I
3.07735 − 7.15990I 0
u = −1.50348 − 0.22309I
a = −0.638772 + 1.061640I
b = 0.928579 + 0.720640I
3.07735 + 7.15990I 0
u = −1.49388 + 0.30393I
a = −0.125412 − 1.084930I
b = 0.983426 − 0.345192I
2.93583 − 9.67376I 0
u = −1.49388 − 0.30393I
a = −0.125412 + 1.084930I
b = 0.983426 + 0.345192I
2.93583 + 9.67376I 0
u = −1.51421 + 0.17868I
a = 0.666131 + 0.742857I
b = −1.49902 + 0.79847I
8.91590 − 6.68730I 0
u = −1.51421 − 0.17868I
a = 0.666131 − 0.742857I
b = −1.49902 − 0.79847I
8.91590 + 6.68730I 0
u = 1.46393 + 0.42707I
a = 0.400574 − 0.703058I
b = −1.32675 − 0.90235I
4.14729 + 5.81797I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46393 − 0.42707I
a = 0.400574 + 0.703058I
b = −1.32675 + 0.90235I
4.14729 − 5.81797I 0
u = 1.51736 + 0.17092I
a = 0.279173 − 0.805873I
b = −1.032590 − 0.401616I
7.44180 + 4.58976I 0
u = 1.51736 − 0.17092I
a = 0.279173 + 0.805873I
b = −1.032590 + 0.401616I
7.44180 − 4.58976I 0
u = −1.51512 + 0.19650I
a = −0.719707 − 0.510490I
b = 1.55153 − 0.53896I
4.63698 − 1.67249I 0
u = −1.51512 − 0.19650I
a = −0.719707 + 0.510490I
b = 1.55153 + 0.53896I
4.63698 + 1.67249I 0
u = −1.51971 + 0.18217I
a = −0.643184 − 0.856014I
b = 1.42249 − 0.96880I
5.03581 − 11.44180I 0
u = −1.51971 − 0.18217I
a = −0.643184 + 0.856014I
b = 1.42249 + 0.96880I
5.03581 + 11.44180I 0
u = 0.385385 + 0.257518I
a = −1.69933 + 1.27300I
b = 0.979834 + 0.468293I
−2.59766 − 0.34195I −6.16678 − 7.93909I
u = 0.385385 − 0.257518I
a = −1.69933 − 1.27300I
b = 0.979834 − 0.468293I
−2.59766 + 0.34195I −6.16678 + 7.93909I
u = 1.53672 + 0.02430I
a = 0.854452 − 1.028970I
b = −0.518225 − 0.117988I
4.99245 − 2.15881I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53672 − 0.02430I
a = 0.854452 + 1.028970I
b = −0.518225 + 0.117988I
4.99245 + 2.15881I 0
u = −1.52434 + 0.21328I
a = 0.684131 + 0.935220I
b = −0.722279 + 0.945973I
−1.23112 − 8.31311I 0
u = −1.52434 − 0.21328I
a = 0.684131 − 0.935220I
b = −0.722279 − 0.945973I
−1.23112 + 8.31311I 0
u = 1.57037 + 0.10518I
a = −0.464481 + 0.675080I
b = 0.830325 + 0.188200I
9.68462 + 0.75111I 0
u = 1.57037 − 0.10518I
a = −0.464481 − 0.675080I
b = 0.830325 − 0.188200I
9.68462 − 0.75111I 0
u = −1.54872 + 0.33463I
a = 0.120186 + 0.778443I
b = −0.794087 + 0.209483I
6.13408 − 5.25289I 0
u = −1.54872 − 0.33463I
a = 0.120186 − 0.778443I
b = −0.794087 − 0.209483I
6.13408 + 5.25289I 0
u = 1.54991 + 0.33692I
a = −0.560707 + 0.875963I
b = 1.36205 + 0.83316I
5.82114 + 12.74530I 0
u = 1.54991 − 0.33692I
a = −0.560707 − 0.875963I
b = 1.36205 − 0.83316I
5.82114 − 12.74530I 0
u = 1.56442 + 0.31341I
a = 0.658091 − 0.958017I
b = −1.35610 − 0.85602I
0.1513 + 18.2516I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56442 − 0.31341I
a = 0.658091 + 0.958017I
b = −1.35610 + 0.85602I
0.1513 − 18.2516I 0
u = 1.64164
a = −0.903636
b = 0.802025
10.0897 0
u = 1.71719
a = 1.10127
b = −1.09235
4.09498 0
u = −0.152207 + 0.233846I
a = 0.88074 − 2.39473I
b = 0.26084 − 1.45426I
−3.01848 + 0.92319I −16.3696 + 13.5516I
u = −0.152207 − 0.233846I
a = 0.88074 + 2.39473I
b = 0.26084 + 1.45426I
−3.01848 − 0.92319I −16.3696 − 13.5516I
u = 0.224919 + 0.150669I
a = 3.09304 + 2.61529I
b = −0.722493 − 0.378562I
0.63477 + 2.73106I 4.28983 − 7.49724I
u = 0.224919 − 0.150669I
a = 3.09304 − 2.61529I
b = −0.722493 + 0.378562I
0.63477 − 2.73106I 4.28983 + 7.49724I
u = 0.187786 + 0.121629I
a = −4.27561 − 6.56272I
b = 0.683970 + 0.326310I
−3.96325 + 6.53810I 4.31549 − 7.93821I
u = 0.187786 − 0.121629I
a = −4.27561 + 6.56272I
b = 0.683970 − 0.326310I
−3.96325 − 6.53810I 4.31549 + 7.93821I
u = 0.192807
a = −8.38944
b = −0.824520
−8.08321 −11.5990
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.154095
a = 3.94542
b = 1.50180
−2.45282 −31.3710
u = −2.37999
a = −0.135595
b = 0.373572
0.188819 0
16
II. I
u
2
= h−32u
15
− 74u
14
+ · · · + 43b + 23, −40u
15
− 28u
14
+ · · · + 43a −
68, 2u
16
+ 3u
15
+ · · · + 2u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
7
=
1
−u
2
a
12
=
u
−u
3
+ u
a
3
=
0.930233u
15
+ 0.651163u
14
+ ··· − 1.81395u + 1.58140
0.744186u
15
+ 1.72093u
14
+ ··· − 0.651163u − 0.534884
a
8
=
−u
2
+ 1
u
4
− 2u
2
a
4
=
0.0930233u
15
+ 0.465116u
14
+ ··· − 1.58140u + 1.55814
1.48837u
15
+ 1.44186u
14
+ ··· − 0.302326u − 0.0697674
a
2
=
0.186047u
15
− 1.06977u
14
+ ··· − 1.16279u + 2.11628
0.744186u
15
+ 1.72093u
14
+ ··· − 0.651163u − 0.534884
a
10
=
0.139535u
15
− 0.302326u
14
+ ··· + 0.627907u − 1.16279
−0.139535u
15
− 1.69767u
14
+ ··· + 2.37209u + 1.16279
a
5
=
1.58140u
15
+ 5.90698u
14
+ ··· − 3.88372u + 0.488372
1.81395u
15
+ 2.06977u
14
+ ··· − 0.837209u − 0.116279
a
1
=
1.76744u
15
+ 4.83721u
14
+ ··· − 2.04651u − 0.395349
0.604651u
15
+ 2.02326u
14
+ ··· − 0.279070u − 0.372093
a
9
=
1.90698u
15
+ 2.53488u
14
+ ··· + 1.58140u + 0.441860
−2.13953u
15
− 4.69767u
14
+ ··· + 4.37209u + 0.162791
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
358
43
u
15
−
1059
43
u
14
+ ··· +
1399
43
u +
131
43
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
2(2u
16
+ 3u
15
+ ··· − 10u + 1)
c
2
u
16
− 6u
15
+ ··· − u − 2
c
3
u
16
+ 3u
15
+ ··· + 3u + 1
c
4
2(2u
16
− 3u
15
+ ··· + 10u + 1)
c
5
2(2u
16
− u
15
+ ··· + 12u
2
− 1)
c
6
, c
7
2(2u
16
+ 3u
15
+ ··· + 2u + 1)
c
8
u
16
− 3u
15
+ ··· − 3u + 1
c
9
u
16
− 3u
15
+ ··· − u − 1
c
10
u
16
+ 4u
13
+ ··· − 11u − 4
c
11
2(2u
16
− 3u
15
+ ··· − 2u + 1)
c
12
u
16
− 5u
13
+ ··· + 7u + 2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
4(4y
16
− 65y
15
+ ··· − 62y + 1)
c
2
y
16
− 24y
15
+ ··· − 25y + 4
c
3
, c
8
y
16
− 29y
15
+ ··· − 23y + 1
c
5
4(4y
16
− 29y
15
+ ··· − 24y + 1)
c
6
, c
7
, c
11
4(4y
16
− 77y
15
+ ··· − 12y + 1)
c
9
y
16
− 11y
15
+ ··· − 23y + 1
c
10
y
16
− 14y
14
+ ··· − 193y + 16
c
12
y
16
− 42y
14
+ ··· − 229y + 4
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.07814
a = 1.60048
b = 0.656552
−6.06624 −8.72690
u = −1.134000 + 0.316000I
a = −0.215381 − 0.266032I
b = 0.347675 + 0.416064I
0.486667 + 0.542049I −2.18976 + 1.23348I
u = −1.134000 − 0.316000I
a = −0.215381 + 0.266032I
b = 0.347675 − 0.416064I
0.486667 − 0.542049I −2.18976 − 1.23348I
u = 0.798785
a = −2.08662
b = 1.18227
−7.07830 −2.71470
u = 1.39766
a = 0.401465
b = −4.20557
1.89719 −62.4810
u = 0.081248 + 0.574229I
a = −2.28547 − 1.09977I
b = −0.611183 − 0.480838I
−4.65589 + 6.47534I −7.82126 − 7.39766I
u = 0.081248 − 0.574229I
a = −2.28547 + 1.09977I
b = −0.611183 + 0.480838I
−4.65589 − 6.47534I −7.82126 + 7.39766I
u = −1.41304 + 0.31478I
a = −0.329320 − 0.826191I
b = 0.988302 − 0.942736I
3.37386 − 5.56665I −0.78610 + 4.99093I
u = −1.41304 − 0.31478I
a = −0.329320 + 0.826191I
b = 0.988302 + 0.942736I
3.37386 + 5.56665I −0.78610 − 4.99093I
u = −1.45818 + 0.17899I
a = 0.39357 + 1.47087I
b = −0.750143 + 0.653825I
0.68526 − 9.01641I −0.11802 + 8.70317I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45818 − 0.17899I
a = 0.39357 − 1.47087I
b = −0.750143 − 0.653825I
0.68526 + 9.01641I −0.11802 − 8.70317I
u = 0.467885
a = −1.45890
b = −1.17068
−2.26601 16.7990
u = −0.342064 + 0.196600I
a = 1.16681 + 1.48462I
b = −0.983292 + 0.866238I
−2.48546 + 0.94026I −5.57205 − 0.17330I
u = −0.342064 − 0.196600I
a = 1.16681 − 1.48462I
b = −0.983292 − 0.866238I
−2.48546 − 0.94026I −5.57205 + 0.17330I
u = 1.63557
a = 0.953506
b = −1.21135
5.43157 8.15920
u = 1.65402
a = −0.870357
b = 0.766059
9.98301 −35.2800
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
4(2u
16
+ 3u
15
+ ··· − 10u + 1)(2u
112
− 3u
111
+ ··· + 6u − 1)
c
2
(u
16
− 6u
15
+ ··· − u − 2)(u
112
+ u
111
+ ··· + 33183u + 20078)
c
3
(u
16
+ 3u
15
+ ··· + 3u + 1)(u
112
− 4u
111
+ ··· − 18821u − 1439)
c
4
4(2u
16
− 3u
15
+ ··· + 10u + 1)(2u
112
− 3u
111
+ ··· + 6u − 1)
c
5
4(2u
16
− u
15
+ ··· + 12u
2
− 1)(2u
112
− 5u
111
+ ··· + 1262u − 211)
c
6
, c
7
4(2u
16
+ 3u
15
+ ··· + 2u + 1)(2u
112
− u
111
+ ··· + 30u + 1)
c
8
(u
16
− 3u
15
+ ··· − 3u + 1)(u
112
− 4u
111
+ ··· − 18821u − 1439)
c
9
(u
16
− 3u
15
+ ··· − u − 1)(u
112
− 5u
110
+ ··· − 17u + 1)
c
10
(u
16
+ 4u
13
+ ··· − 11u − 4)(u
112
− 3u
111
+ ··· + 1445u + 116)
c
11
4(2u
16
− 3u
15
+ ··· − 2u + 1)(2u
112
− u
111
+ ··· + 30u + 1)
c
12
(u
16
− 5u
13
+ ··· + 7u + 2)(u
112
− 3u
111
+ ··· + 4391u − 2366)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
16(4y
16
− 65y
15
+ ··· − 62y + 1)(4y
112
− 365y
111
+ ··· − 942y + 1)
c
2
(y
16
− 24y
15
+ ··· − 25y + 4)
· (y
112
− 51y
111
+ ··· − 21359572553y + 403126084)
c
3
, c
8
(y
16
− 29y
15
+ ··· − 23y + 1)
· (y
112
− 92y
111
+ ··· − 91920487y + 2070721)
c
5
16(4y
16
− 29y
15
+ ··· − 24y + 1)
· (4y
112
− 121y
111
+ ··· − 1692236y + 44521)
c
6
, c
7
, c
11
16(4y
16
− 77y
15
+ ··· − 12y + 1)(4y
112
− 457y
111
+ ··· − 108y + 1)
c
9
(y
16
− 11y
15
+ ··· − 23y + 1)(y
112
− 10y
111
+ ··· − 1271y + 1)
c
10
(y
16
− 14y
14
+ ··· − 193y + 16)
· (y
112
+ 9y
111
+ ··· − 1322657y + 13456)
c
12
(y
16
− 42y
14
+ ··· − 229y + 4)
· (y
112
+ 21y
111
+ ··· + 215563547y + 5597956)
23
