12a
0455
(K12a
0455
)
A knot diagram
1
Linearized knot diagam
3 6 10 11 9 2 12 5 7 1 8 4
Solving Sequence
2,7
6
3,10
4 1 11 9 5 8 12
c
6
c
2
c
3
c
1
c
10
c
9
c
5
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.64159 × 10
351
u
147
− 2.04306 × 10
352
u
146
+ ··· + 3.22888 × 10
351
b − 6.10666 × 10
352
,
− 5.24126 × 10
351
u
147
− 1.21608 × 10
352
u
146
+ ··· + 3.22888 × 10
351
a + 3.06698 × 10
353
,
u
148
+ 2u
147
+ ··· + 648u − 101i
I
u
2
= h−98006u
28
− 171495u
27
+ ··· + 58439b + 136719,
− 178935u
28
− 361858u
27
+ ··· + 58439a + 408756, u
29
+ 3u
28
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 177 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−6.64 × 10
351
u
147
− 2.04 × 10
352
u
146
+ · · · + 3.23 × 10
351
b − 6.11 ×
10
352
, −5.24 × 10
351
u
147
− 1.22 × 10
352
u
146
+ · · · + 3.23 × 10
351
a + 3.07 ×
10
353
, u
148
+ 2u
147
+ · · · + 648u − 101i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
10
=
1.62324u
147
+ 3.76624u
146
+ ··· + 215.821u − 94.9857
2.05693u
147
+ 6.32746u
146
+ ··· − 394.089u + 18.9126
a
4
=
−4.25834u
147
− 13.7647u
146
+ ··· + 536.061u − 8.91213
−0.0989344u
147
− 0.283071u
146
+ ··· − 0.416518u + 1.70615
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
0.340291u
147
− 1.41193u
146
+ ··· + 1.36267u − 28.3977
0.935089u
147
+ 2.73408u
146
+ ··· − 589.808u + 77.5672
a
9
=
−0.433691u
147
− 2.56122u
146
+ ··· + 609.910u − 113.898
2.05693u
147
+ 6.32746u
146
+ ··· − 394.089u + 18.9126
a
5
=
−4.15824u
147
− 15.5606u
146
+ ··· − 951.355u + 226.736
−1.08619u
147
− 1.41697u
146
+ ··· + 1067.53u − 176.821
a
8
=
14.5223u
147
+ 33.0084u
146
+ ··· − 9219.44u + 1499.03
−0.556047u
147
− 2.33541u
146
+ ··· + 46.6725u + 2.68327
a
12
=
9.20435u
147
+ 43.3960u
146
+ ··· + 7499.92u − 1579.10
−0.0490474u
147
− 0.557633u
146
+ ··· + 138.617u − 22.2642
(ii) Obstruction class = −1
(iii) Cusp Shapes = −23.7391u
147
− 56.5982u
146
+ ··· + 11427.9u − 1690.16
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
148
+ 52u
147
+ ··· + 225688u + 10201
c
2
, c
6
u
148
+ 2u
147
+ ··· + 648u − 101
c
3
u
148
+ 6u
147
+ ··· − 28u + 1
c
4
u
148
− u
147
+ ··· + 58981664u − 6309529
c
5
, c
8
u
148
+ 2u
147
+ ··· + 569785u + 75377
c
7
, c
11
u
148
− u
147
+ ··· + 20974u − 1021
c
9
u
148
+ 17u
147
+ ··· + 20173695u + 2908799
c
10
u
148
− 16u
147
+ ··· − 121942u + 17011
c
12
u
148
+ 3u
147
+ ··· − 45u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
148
+ 64y
147
+ ··· + 1862038336y + 104060401
c
2
, c
6
y
148
+ 52y
147
+ ··· + 225688y + 10201
c
3
y
148
+ 24y
147
+ ··· − 116y + 1
c
4
y
148
− 59y
147
+ ··· − 6005658867352188y + 39810156201841
c
5
, c
8
y
148
− 110y
147
+ ··· − 159118159739y + 5681692129
c
7
, c
11
y
148
+ 91y
147
+ ··· + 140301120y + 1042441
c
9
y
148
− 57y
147
+ ··· − 651689179521105y + 8461111622401
c
10
y
148
+ 26y
147
+ ··· + 23472466328y + 289374121
c
12
y
148
− 23y
147
+ ··· + 47y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.769936 + 0.637167I
a = 1.51306 + 1.57880I
b = 1.95693 + 0.78697I
4.71739 + 4.12254I 0
u = −0.769936 − 0.637167I
a = 1.51306 − 1.57880I
b = 1.95693 − 0.78697I
4.71739 − 4.12254I 0
u = 0.839915 + 0.558536I
a = −0.793268 − 0.504148I
b = −0.455550 − 0.818813I
3.74720 + 4.69907I 0
u = 0.839915 − 0.558536I
a = −0.793268 + 0.504148I
b = −0.455550 + 0.818813I
3.74720 − 4.69907I 0
u = 0.680603 + 0.758056I
a = −1.15384 + 1.70671I
b = −1.029920 + 0.371559I
1.59469 − 1.18911I 0
u = 0.680603 − 0.758056I
a = −1.15384 − 1.70671I
b = −1.029920 − 0.371559I
1.59469 + 1.18911I 0
u = 0.082421 + 0.975904I
a = 0.404354 + 0.748854I
b = −0.053861 − 1.256040I
−2.80448 + 2.17992I 0
u = 0.082421 − 0.975904I
a = 0.404354 − 0.748854I
b = −0.053861 + 1.256040I
−2.80448 − 2.17992I 0
u = −0.800073 + 0.642825I
a = −1.04329 − 1.29748I
b = −1.37614 − 0.90742I
3.52532 + 2.68080I 0
u = −0.800073 − 0.642825I
a = −1.04329 + 1.29748I
b = −1.37614 + 0.90742I
3.52532 − 2.68080I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.533509 + 0.810153I
a = −3.11459 + 2.72354I
b = −0.239845 − 0.209041I
3.50091 + 1.82337I 0
u = 0.533509 − 0.810153I
a = −3.11459 − 2.72354I
b = −0.239845 + 0.209041I
3.50091 − 1.82337I 0
u = −0.692022 + 0.774667I
a = 1.47729 + 0.28878I
b = 1.40281 + 0.46749I
9.60483 + 5.04060I 0
u = −0.692022 − 0.774667I
a = 1.47729 − 0.28878I
b = 1.40281 − 0.46749I
9.60483 − 5.04060I 0
u = −0.800256 + 0.519923I
a = −1.12012 − 0.88361I
b = −0.686300 − 0.823247I
3.56002 + 8.07451I 0
u = −0.800256 − 0.519923I
a = −1.12012 + 0.88361I
b = −0.686300 + 0.823247I
3.56002 − 8.07451I 0
u = 0.614932 + 0.846163I
a = −1.54915 + 1.00418I
b = −0.74713 − 1.28581I
3.47362 + 0.56739I 0
u = 0.614932 − 0.846163I
a = −1.54915 − 1.00418I
b = −0.74713 + 1.28581I
3.47362 − 0.56739I 0
u = 0.637209 + 0.831340I
a = 0.84150 − 2.10274I
b = 2.48068 − 1.44697I
8.44146 + 7.98648I 0
u = 0.637209 − 0.831340I
a = 0.84150 + 2.10274I
b = 2.48068 + 1.44697I
8.44146 − 7.98648I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.706571 + 0.785069I
a = −0.918845 − 0.481131I
b = −1.237320 − 0.660865I
5.75577 + 0.28751I 0
u = −0.706571 − 0.785069I
a = −0.918845 + 0.481131I
b = −1.237320 + 0.660865I
5.75577 − 0.28751I 0
u = 0.655402 + 0.678853I
a = 0.960142 − 0.391166I
b = 0.345528 + 0.044798I
1.36746 + 1.48211I 0
u = 0.655402 − 0.678853I
a = 0.960142 + 0.391166I
b = 0.345528 − 0.044798I
1.36746 − 1.48211I 0
u = 0.057886 + 1.055360I
a = −0.742576 − 0.161146I
b = 0.864498 + 1.006030I
−1.09038 + 3.64274I 0
u = 0.057886 − 1.055360I
a = −0.742576 + 0.161146I
b = 0.864498 − 1.006030I
−1.09038 − 3.64274I 0
u = 0.612091 + 0.863181I
a = −0.388473 + 0.671927I
b = −1.17312 + 1.22060I
3.42037 + 4.25835I 0
u = 0.612091 − 0.863181I
a = −0.388473 − 0.671927I
b = −1.17312 − 1.22060I
3.42037 − 4.25835I 0
u = −0.452159 + 0.957349I
a = 1.252100 + 0.655520I
b = 0.916740 − 0.482441I
−2.95953 − 1.60773I 0
u = −0.452159 − 0.957349I
a = 1.252100 − 0.655520I
b = 0.916740 + 0.482441I
−2.95953 + 1.60773I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.682346 + 0.645395I
a = −1.91385 − 0.70412I
b = −1.45467 + 0.53812I
5.48460 + 1.98053I 0
u = −0.682346 − 0.645395I
a = −1.91385 + 0.70412I
b = −1.45467 − 0.53812I
5.48460 − 1.98053I 0
u = 0.089356 + 1.057760I
a = 0.397022 + 0.533329I
b = −0.376259 − 1.046850I
−2.61567 + 2.29136I 0
u = 0.089356 − 1.057760I
a = 0.397022 − 0.533329I
b = −0.376259 + 1.046850I
−2.61567 − 2.29136I 0
u = 0.621686 + 0.698295I
a = 0.523634 − 1.135410I
b = 0.182883 − 0.355598I
1.46921 + 1.77573I 0
u = 0.621686 − 0.698295I
a = 0.523634 + 1.135410I
b = 0.182883 + 0.355598I
1.46921 − 1.77573I 0
u = −0.753687 + 0.758324I
a = 0.478102 − 0.190940I
b = 0.864382 + 0.396362I
9.07722 − 4.51869I 0
u = −0.753687 − 0.758324I
a = 0.478102 + 0.190940I
b = 0.864382 − 0.396362I
9.07722 + 4.51869I 0
u = −0.762931 + 0.524549I
a = 1.171310 + 0.733873I
b = 0.665422 + 0.379943I
0.60685 + 3.89379I 0
u = −0.762931 − 0.524549I
a = 1.171310 − 0.733873I
b = 0.665422 − 0.379943I
0.60685 − 3.89379I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.643856 + 0.877600I
a = 2.49371 − 1.18966I
b = 1.92963 + 1.77881I
8.29501 − 2.98629I 0
u = 0.643856 − 0.877600I
a = 2.49371 + 1.18966I
b = 1.92963 − 1.77881I
8.29501 + 2.98629I 0
u = 0.561460 + 0.933887I
a = −2.33444 + 0.83306I
b = −0.535764 − 0.033243I
3.04732 + 2.54731I 0
u = 0.561460 − 0.933887I
a = −2.33444 − 0.83306I
b = −0.535764 + 0.033243I
3.04732 − 2.54731I 0
u = 0.168089 + 1.076850I
a = −1.253420 − 0.599193I
b = 0.758942 − 1.037640I
2.69789 − 3.74630I 0
u = 0.168089 − 1.076850I
a = −1.253420 + 0.599193I
b = 0.758942 + 1.037640I
2.69789 + 3.74630I 0
u = 0.507455 + 0.983069I
a = 0.225480 − 1.144630I
b = 0.287681 + 0.146148I
1.76820 + 2.11705I 0
u = 0.507455 − 0.983069I
a = 0.225480 + 1.144630I
b = 0.287681 − 0.146148I
1.76820 − 2.11705I 0
u = 0.969721 + 0.534209I
a = 0.999737 − 0.607200I
b = 1.35067 − 0.42951I
11.20750 − 1.13432I 0
u = 0.969721 − 0.534209I
a = 0.999737 + 0.607200I
b = 1.35067 + 0.42951I
11.20750 + 1.13432I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560989 + 0.958698I
a = −1.88637 − 0.49337I
b = −1.05468 + 1.18469I
0.03616 − 6.60312I 0
u = −0.560989 − 0.958698I
a = −1.88637 + 0.49337I
b = −1.05468 − 1.18469I
0.03616 + 6.60312I 0
u = −0.407500 + 1.035220I
a = −0.295263 + 0.385450I
b = 0.462997 + 1.110580I
−3.28286 − 4.45845I 0
u = −0.407500 − 1.035220I
a = −0.295263 − 0.385450I
b = 0.462997 − 1.110580I
−3.28286 + 4.45845I 0
u = 0.403619 + 0.789925I
a = 2.62780 + 1.73916I
b = 0.393620 − 0.088664I
2.97332 + 1.73336I 0
u = 0.403619 − 0.789925I
a = 2.62780 − 1.73916I
b = 0.393620 + 0.088664I
2.97332 − 1.73336I 0
u = 0.945252 + 0.591891I
a = 0.97609 − 1.12813I
b = 1.42305 − 1.01224I
9.8462 − 13.8073I 0
u = 0.945252 − 0.591891I
a = 0.97609 + 1.12813I
b = 1.42305 + 1.01224I
9.8462 + 13.8073I 0
u = −0.720337 + 0.855632I
a = 1.49256 − 0.38863I
b = 0.31089 − 1.94869I
8.11074 − 2.09328I 0
u = −0.720337 − 0.855632I
a = 1.49256 + 0.38863I
b = 0.31089 + 1.94869I
8.11074 + 2.09328I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.970205 + 0.562492I
a = 0.792995 + 0.503182I
b = 1.143020 + 0.679410I
11.36020 + 4.55682I 0
u = −0.970205 − 0.562492I
a = 0.792995 − 0.503182I
b = 1.143020 − 0.679410I
11.36020 − 4.55682I 0
u = −0.264987 + 0.833730I
a = 1.295610 + 0.229529I
b = −0.22044 − 1.42663I
−1.99613 + 1.72020I 0
u = −0.264987 − 0.833730I
a = 1.295610 − 0.229529I
b = −0.22044 + 1.42663I
−1.99613 − 1.72020I 0
u = −0.723000 + 0.862554I
a = −0.683099 + 1.095530I
b = 0.80358 + 1.86055I
8.09150 − 3.40596I 0
u = −0.723000 − 0.862554I
a = −0.683099 − 1.095530I
b = 0.80358 − 1.86055I
8.09150 + 3.40596I 0
u = 0.974867 + 0.589626I
a = −0.843848 + 0.942740I
b = −1.25978 + 0.82521I
5.65662 − 7.35879I 0
u = 0.974867 − 0.589626I
a = −0.843848 − 0.942740I
b = −1.25978 − 0.82521I
5.65662 + 7.35879I 0
u = −0.684381 + 0.913268I
a = −1.37694 − 1.09207I
b = −0.944280 + 0.860168I
5.36543 − 5.62427I 0
u = −0.684381 − 0.913268I
a = −1.37694 + 1.09207I
b = −0.944280 − 0.860168I
5.36543 + 5.62427I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.673284 + 0.923035I
a = 1.39343 + 1.65016I
b = 1.121090 − 0.595959I
9.15061 − 10.30330I 0
u = −0.673284 − 0.923035I
a = 1.39343 − 1.65016I
b = 1.121090 + 0.595959I
9.15061 + 10.30330I 0
u = 0.662223 + 0.937029I
a = −2.03763 + 0.25010I
b = −1.29671 − 0.67584I
1.04599 + 6.38778I 0
u = 0.662223 − 0.937029I
a = −2.03763 − 0.25010I
b = −1.29671 + 0.67584I
1.04599 − 6.38778I 0
u = −0.012214 + 1.151280I
a = 0.218582 − 0.257400I
b = 0.254769 + 0.881110I
−5.03626 + 2.30131I 0
u = −0.012214 − 1.151280I
a = 0.218582 + 0.257400I
b = 0.254769 − 0.881110I
−5.03626 − 2.30131I 0
u = 0.104267 + 0.841355I
a = −0.140788 − 0.834366I
b = −0.66639 + 1.35029I
−2.32899 − 2.11126I 0
u = 0.104267 − 0.841355I
a = −0.140788 + 0.834366I
b = −0.66639 − 1.35029I
−2.32899 + 2.11126I 0
u = −1.110010 + 0.319340I
a = 0.332488 − 0.230503I
b = 0.763772 − 0.118071I
8.09797 − 8.18527I 0
u = −1.110010 − 0.319340I
a = 0.332488 + 0.230503I
b = 0.763772 + 0.118071I
8.09797 + 8.18527I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.624567 + 0.980093I
a = 1.216560 − 0.241582I
b = 0.589137 + 0.338322I
0.45205 + 3.50465I 0
u = 0.624567 − 0.980093I
a = 1.216560 + 0.241582I
b = 0.589137 − 0.338322I
0.45205 − 3.50465I 0
u = 0.641338 + 0.975824I
a = 1.53440 + 0.25176I
b = 0.533710 + 0.685958I
0.60913 + 3.24526I 0
u = 0.641338 − 0.975824I
a = 1.53440 − 0.25176I
b = 0.533710 − 0.685958I
0.60913 − 3.24526I 0
u = 0.004974 + 1.167720I
a = −0.080516 + 0.577376I
b = −0.466323 − 1.085310I
−2.35243 + 6.40725I 0
u = 0.004974 − 1.167720I
a = −0.080516 − 0.577376I
b = −0.466323 + 1.085310I
−2.35243 − 6.40725I 0
u = −0.636773 + 0.997265I
a = −1.00898 − 1.26124I
b = −1.70064 − 0.15421I
4.42882 − 7.10812I 0
u = −0.636773 − 0.997265I
a = −1.00898 + 1.26124I
b = −1.70064 + 0.15421I
4.42882 + 7.10812I 0
u = 0.593681 + 1.023540I
a = 1.91308 − 1.26775I
b = 2.02863 + 1.49595I
5.35359 + 10.26120I 0
u = 0.593681 − 1.023540I
a = 1.91308 + 1.26775I
b = 2.02863 − 1.49595I
5.35359 − 10.26120I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.726251 + 0.939284I
a = 0.470063 + 0.833587I
b = 0.401942 − 0.566172I
8.54049 − 1.08703I 0
u = −0.726251 − 0.939284I
a = 0.470063 − 0.833587I
b = 0.401942 + 0.566172I
8.54049 + 1.08703I 0
u = 0.784216 + 0.208011I
a = −0.436489 − 0.104406I
b = −0.675779 − 0.006893I
1.49213 + 0.09418I 0
u = 0.784216 − 0.208011I
a = −0.436489 + 0.104406I
b = −0.675779 + 0.006893I
1.49213 − 0.09418I 0
u = 0.040675 + 0.789751I
a = −2.37348 − 0.75443I
b = 0.843461 − 0.529432I
5.30954 + 6.50829I 0
u = 0.040675 − 0.789751I
a = −2.37348 + 0.75443I
b = 0.843461 + 0.529432I
5.30954 − 6.50829I 0
u = 0.305796 + 0.708854I
a = −1.71675 + 0.18701I
b = −1.324070 − 0.241356I
1.62553 − 0.93392I 0
u = 0.305796 − 0.708854I
a = −1.71675 − 0.18701I
b = −1.324070 + 0.241356I
1.62553 + 0.93392I 0
u = −0.685085 + 1.020030I
a = 2.13374 + 1.10489I
b = 2.01427 − 1.25903I
3.57308 − 9.64410I 0
u = −0.685085 − 1.020030I
a = 2.13374 − 1.10489I
b = 2.01427 + 1.25903I
3.57308 + 9.64410I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.442510 + 1.149600I
a = −0.026493 + 1.316140I
b = −1.42405 + 0.27976I
−0.93725 + 4.03007I 0
u = 0.442510 − 1.149600I
a = −0.026493 − 1.316140I
b = −1.42405 − 0.27976I
−0.93725 − 4.03007I 0
u = −0.651514 + 1.055880I
a = 1.45529 + 0.49378I
b = 0.942923 − 0.567650I
−0.93890 − 9.25981I 0
u = −0.651514 − 1.055880I
a = 1.45529 − 0.49378I
b = 0.942923 + 0.567650I
−0.93890 + 9.25981I 0
u = −0.697643 + 1.026390I
a = −1.95036 − 0.65491I
b = −1.43148 + 1.28621I
2.36887 − 8.32288I 0
u = −0.697643 − 1.026390I
a = −1.95036 + 0.65491I
b = −1.43148 − 1.28621I
2.36887 + 8.32288I 0
u = 0.494245 + 0.566912I
a = 1.46375 − 1.82890I
b = 2.19364 − 0.56420I
6.73797 − 5.59726I 0
u = 0.494245 − 0.566912I
a = 1.46375 + 1.82890I
b = 2.19364 + 0.56420I
6.73797 + 5.59726I 0
u = 0.618970 + 1.090940I
a = −0.898525 + 0.614785I
b = −0.872745 − 0.708459I
−0.82047 + 5.13370I 0
u = 0.618970 − 1.090940I
a = −0.898525 − 0.614785I
b = −0.872745 + 0.708459I
−0.82047 − 5.13370I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.658937 + 1.067600I
a = −1.77396 − 0.49014I
b = −0.876392 + 0.917845I
1.94680 − 13.55350I 0
u = −0.658937 − 1.067600I
a = −1.77396 + 0.49014I
b = −0.876392 − 0.917845I
1.94680 + 13.55350I 0
u = −0.446704 + 0.586220I
a = −0.48099 − 1.47582I
b = −0.802919 − 0.715224I
1.04584 + 2.26494I 0
u = −0.446704 − 0.586220I
a = −0.48099 + 1.47582I
b = −0.802919 + 0.715224I
1.04584 − 2.26494I 0
u = −0.161935 + 1.269120I
a = −0.325955 + 0.253893I
b = 0.692576 − 0.850020I
2.24682 − 12.10360I 0
u = −0.161935 − 1.269120I
a = −0.325955 − 0.253893I
b = 0.692576 + 0.850020I
2.24682 + 12.10360I 0
u = 0.002432 + 0.719130I
a = 0.054436 − 1.142880I
b = −0.659458 − 0.250629I
1.09994 + 2.09658I 0
u = 0.002432 − 0.719130I
a = 0.054436 + 1.142880I
b = −0.659458 + 0.250629I
1.09994 − 2.09658I 0
u = 0.116144 + 0.674757I
a = 2.25606 + 0.81942I
b = −0.303519 + 0.183390I
1.32804 + 2.45147I 0
u = 0.116144 − 0.674757I
a = 2.25606 − 0.81942I
b = −0.303519 − 0.183390I
1.32804 − 2.45147I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.731434 + 1.102020I
a = 1.72781 − 0.69373I
b = 1.45412 + 1.29347I
8.2610 + 19.9510I 0
u = 0.731434 − 1.102020I
a = 1.72781 + 0.69373I
b = 1.45412 − 1.29347I
8.2610 − 19.9510I 0
u = −0.732177 + 1.115030I
a = 1.23441 + 0.75038I
b = 1.07674 − 0.97037I
9.6528 − 10.7542I 0
u = −0.732177 − 1.115030I
a = 1.23441 − 0.75038I
b = 1.07674 + 0.97037I
9.6528 + 10.7542I 0
u = −0.814338 + 1.056680I
a = −1.195400 − 0.029383I
b = −0.678119 + 1.217090I
3.47314 − 6.90476I 0
u = −0.814338 − 1.056680I
a = −1.195400 + 0.029383I
b = −0.678119 − 1.217090I
3.47314 + 6.90476I 0
u = 0.664233
a = −1.43464
b = −1.30578
2.21894 0
u = 0.740118 + 1.112690I
a = −1.48718 + 0.59400I
b = −1.31169 − 1.11971I
4.0208 + 13.6093I 0
u = 0.740118 − 1.112690I
a = −1.48718 − 0.59400I
b = −1.31169 + 1.11971I
4.0208 − 13.6093I 0
u = 0.558940 + 0.357046I
a = 0.679118 + 1.146890I
b = 0.881939 + 0.002976I
3.29262 + 2.11226I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.558940 − 0.357046I
a = 0.679118 − 1.146890I
b = 0.881939 − 0.002976I
3.29262 − 2.11226I 0
u = 0.718741 + 1.129580I
a = 1.15158 − 0.82914I
b = 1.40120 + 0.75630I
9.36834 + 7.28517I 0
u = 0.718741 − 1.129580I
a = 1.15158 + 0.82914I
b = 1.40120 − 0.75630I
9.36834 − 7.28517I 0
u = 0.770563 + 1.099490I
a = 0.154330 + 0.226927I
b = −0.288914 + 0.455273I
2.21026 + 1.19199I 0
u = 0.770563 − 1.099490I
a = 0.154330 − 0.226927I
b = −0.288914 − 0.455273I
2.21026 − 1.19199I 0
u = −0.212852 + 1.326520I
a = 0.256717 − 0.093685I
b = −0.438676 + 0.606345I
−2.37008 − 5.40558I 0
u = −0.212852 − 1.326520I
a = 0.256717 + 0.093685I
b = −0.438676 − 0.606345I
−2.37008 + 5.40558I 0
u = −1.10012 + 0.89232I
a = 0.130966 − 0.447808I
b = −0.310512 − 0.812334I
4.37587 + 0.05789I 0
u = −1.10012 − 0.89232I
a = 0.130966 + 0.447808I
b = −0.310512 + 0.812334I
4.37587 − 0.05789I 0
u = −0.14302 + 1.45762I
a = −0.291389 − 0.025003I
b = 0.484017 − 0.114924I
3.62994 + 1.54287I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14302 − 1.45762I
a = −0.291389 + 0.025003I
b = 0.484017 + 0.114924I
3.62994 − 1.54287I 0
u = 0.353163 + 0.317005I
a = 1.76206 − 1.80707I
b = 1.77187 − 0.30182I
6.70775 − 5.64468I 2.91883 + 3.12758I
u = 0.353163 − 0.317005I
a = 1.76206 + 1.80707I
b = 1.77187 + 0.30182I
6.70775 + 5.64468I 2.91883 − 3.12758I
u = 0.400843 + 0.239268I
a = −1.18485 − 1.81069I
b = −0.467740 + 0.579961I
4.06649 + 1.04747I 8.01975 + 0.93073I
u = 0.400843 − 0.239268I
a = −1.18485 + 1.81069I
b = −0.467740 − 0.579961I
4.06649 − 1.04747I 8.01975 − 0.93073I
u = −0.410832 + 0.000981I
a = 1.21699 − 1.41861I
b = 0.131418 − 0.538352I
−0.92136 + 1.37626I −1.95062 − 4.54782I
u = −0.410832 − 0.000981I
a = 1.21699 + 1.41861I
b = 0.131418 + 0.538352I
−0.92136 − 1.37626I −1.95062 + 4.54782I
u = −2.03244
a = −0.0421868
b = −0.262158
3.89519 0
19
II.
I
u
2
= h−9.80 × 10
4
u
28
− 1.71 × 10
5
u
27
+ · · · + 5.84 × 10
4
b + 1.37 × 10
5
, −1.79 ×
10
5
u
28
−3.62×10
5
u
27
+· · · +5.84×10
4
a+4.09×10
5
, u
29
+3u
28
+· · · +2u +1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
10
=
3.06191u
28
+ 6.19206u
27
+ ··· − 4.75773u − 6.99458
1.67706u
28
+ 2.93460u
27
+ ··· − 0.561115u − 2.33952
a
4
=
−0.800082u
28
− 2.87123u
27
+ ··· − 10.8385u + 3.00729
1.68978u
28
+ 6.71091u
27
+ ··· + 4.10113u + 3.28211
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
2.59649u
28
+ 5.80181u
27
+ ··· − 4.75427u − 7.43806
0.526908u
28
− 0.0386899u
27
+ ··· − 1.25319u − 1.76312
a
9
=
1.38485u
28
+ 3.25747u
27
+ ··· − 4.19662u − 4.65506
1.67706u
28
+ 2.93460u
27
+ ··· − 0.561115u − 2.33952
a
5
=
−0.466897u
28
− 1.16652u
27
+ ··· + 5.23098u + 6.18712
−u
27
− 2u
26
+ ··· − 9u
2
− 2u
a
8
=
−5.26058u
28
− 16.9875u
27
+ ··· + 4.47283u + 8.12642
0.327418u
28
+ 1.45355u
27
+ ··· − 4.92272u + 0.441623
a
12
=
−8.10911u
28
− 23.6215u
27
+ ··· + 1.24027u − 0.316912
0.628912u
28
+ 0.674105u
27
+ ··· − 1.86066u − 3.56596
(ii) Obstruction class = 1
(iii) Cusp Shapes =
715492
58439
u
28
+
2342695
58439
u
27
+ ··· +
213211
58439
u +
373912
58439
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
29
− 9u
28
+ ··· − 20u + 1
c
2
u
29
− 3u
28
+ ··· + 2u − 1
c
3
u
29
+ 3u
28
+ ··· + 22u + 1
c
4
u
29
+ 2u
28
+ ··· + 2u − 1
c
5
u
29
+ u
28
+ ··· + u + 1
c
6
u
29
+ 3u
28
+ ··· + 2u + 1
c
7
u
29
+ 2u
28
+ ··· − 2u + 1
c
8
u
29
− u
28
+ ··· + u − 1
c
9
u
29
− 4u
28
+ ··· − u − 1
c
10
u
29
− 3u
28
+ ··· + 2u − 1
c
11
u
29
− 2u
28
+ ··· − 2u − 1
c
12
u
29
+ 8u
28
+ ··· − 5u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
− 3y
28
+ ··· + 44y −1
c
2
, c
6
y
29
+ 9y
28
+ ··· − 20y −1
c
3
y
29
+ 21y
28
+ ··· + 440y −1
c
4
y
29
+ 2y
28
+ ··· + 16y −1
c
5
, c
8
y
29
− 9y
28
+ ··· + 11y −1
c
7
, c
11
y
29
+ 8y
28
+ ··· − 20y −1
c
9
y
29
− 24y
28
+ ··· + 21y −1
c
10
y
29
− 5y
28
+ ··· + 4y −1
c
12
y
29
− 22y
28
+ ··· − 11y −1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.073440 + 0.996386I
a = 0.333996 + 0.477240I
b = −0.570540 − 1.205160I
−2.82618 + 3.38088I −3.54767 − 8.07825I
u = 0.073440 − 0.996386I
a = 0.333996 − 0.477240I
b = −0.570540 + 1.205160I
−2.82618 − 3.38088I −3.54767 + 8.07825I
u = −0.781069 + 0.658115I
a = −1.30751 − 1.47409I
b = −1.63514 − 0.77249I
3.09501 + 3.48140I 3.23233 − 4.90037I
u = −0.781069 − 0.658115I
a = −1.30751 + 1.47409I
b = −1.63514 + 0.77249I
3.09501 − 3.48140I 3.23233 + 4.90037I
u = 0.323788 + 1.012610I
a = −0.63544 − 1.40479I
b = 0.063848 + 0.302755I
2.72862 + 1.99174I 9.68045 − 6.03244I
u = 0.323788 − 1.012610I
a = −0.63544 + 1.40479I
b = 0.063848 − 0.302755I
2.72862 − 1.99174I 9.68045 + 6.03244I
u = 0.507828 + 0.780521I
a = 3.42126 − 1.37680I
b = 0.140448 + 0.094444I
3.44852 + 1.74475I −22.0194 + 4.1907I
u = 0.507828 − 0.780521I
a = 3.42126 + 1.37680I
b = 0.140448 − 0.094444I
3.44852 − 1.74475I −22.0194 − 4.1907I
u = 0.884939 + 0.673073I
a = −0.469133 + 0.333359I
b = −0.568454 + 0.273810I
1.82641 + 0.71163I 12.11861 + 4.48155I
u = 0.884939 − 0.673073I
a = −0.469133 − 0.333359I
b = −0.568454 − 0.273810I
1.82641 − 0.71163I 12.11861 − 4.48155I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.563978 + 0.665426I
a = 2.36719 + 1.21255I
b = 2.20558 + 0.06566I
7.44962 + 5.20822I 10.52025 − 2.48221I
u = −0.563978 − 0.665426I
a = 2.36719 − 1.21255I
b = 2.20558 − 0.06566I
7.44962 − 5.20822I 10.52025 + 2.48221I
u = 0.694744 + 0.932886I
a = −1.46707 + 0.12465I
b = −0.887314 − 0.781339I
1.18686 + 4.99401I 4.04180 − 5.87689I
u = 0.694744 − 0.932886I
a = −1.46707 − 0.12465I
b = −0.887314 + 0.781339I
1.18686 − 4.99401I 4.04180 + 5.87689I
u = −0.616311 + 0.562932I
a = 0.076720 + 0.889123I
b = 1.40311 + 0.69448I
7.43307 − 6.74628I 6.79317 + 6.38006I
u = −0.616311 − 0.562932I
a = 0.076720 − 0.889123I
b = 1.40311 − 0.69448I
7.43307 + 6.74628I 6.79317 − 6.38006I
u = 0.383873 + 1.104840I
a = 0.124012 − 0.088594I
b = 0.144232 − 0.737220I
−2.93395 + 4.04810I 0.049872 − 1.034196I
u = 0.383873 − 1.104840I
a = 0.124012 + 0.088594I
b = 0.144232 + 0.737220I
−2.93395 − 4.04810I 0.049872 + 1.034196I
u = 0.278936 + 0.778244I
a = 0.924819 − 0.491194I
b = −0.326819 + 1.367840I
−1.58412 − 1.49983I 8.07338 − 3.89010I
u = 0.278936 − 0.778244I
a = 0.924819 + 0.491194I
b = −0.326819 − 1.367840I
−1.58412 + 1.49983I 8.07338 + 3.89010I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.598901 + 1.022510I
a = 1.48302 + 1.69399I
b = 1.95713 − 0.71800I
6.26940 − 9.90910I 8.20203 + 8.64522I
u = −0.598901 − 1.022510I
a = 1.48302 − 1.69399I
b = 1.95713 + 0.71800I
6.26940 + 9.90910I 8.20203 − 8.64522I
u = −0.403994 + 1.154660I
a = 0.241508 − 1.275890I
b = −1.241890 − 0.506647I
−0.85574 − 4.26209I 5.5320 + 19.2758I
u = −0.403994 − 1.154660I
a = 0.241508 + 1.275890I
b = −1.241890 + 0.506647I
−0.85574 + 4.26209I 5.5320 − 19.2758I
u = −0.695167 + 1.014200I
a = −2.07424 − 0.81549I
b = −1.70886 + 1.20876I
2.02392 − 9.06805I 1.00434 + 10.48909I
u = −0.695167 − 1.014200I
a = −2.07424 + 0.81549I
b = −1.70886 − 1.20876I
2.02392 + 9.06805I 1.00434 − 10.48909I
u = −0.014566 + 0.436910I
a = −2.98540 − 1.09024I
b = −0.825872 + 0.379932I
2.04059 + 1.72205I 3.71368 − 3.13007I
u = −0.014566 − 0.436910I
a = −2.98540 + 1.09024I
b = −0.825872 − 0.379932I
2.04059 − 1.72205I 3.71368 + 3.13007I
u = −1.94713
a = −0.0674758
b = −0.298900
3.90343 409.210
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
29
− 9u
28
+ ··· − 20u + 1)(u
148
+ 52u
147
+ ··· + 225688u + 10201)
c
2
(u
29
− 3u
28
+ ··· + 2u − 1)(u
148
+ 2u
147
+ ··· + 648u − 101)
c
3
(u
29
+ 3u
28
+ ··· + 22u + 1)(u
148
+ 6u
147
+ ··· − 28u + 1)
c
4
(u
29
+ 2u
28
+ ··· + 2u − 1)(u
148
− u
147
+ ··· + 5.89817 × 10
7
u − 6309529)
c
5
(u
29
+ u
28
+ ··· + u + 1)(u
148
+ 2u
147
+ ··· + 569785u + 75377)
c
6
(u
29
+ 3u
28
+ ··· + 2u + 1)(u
148
+ 2u
147
+ ··· + 648u − 101)
c
7
(u
29
+ 2u
28
+ ··· − 2u + 1)(u
148
− u
147
+ ··· + 20974u − 1021)
c
8
(u
29
− u
28
+ ··· + u − 1)(u
148
+ 2u
147
+ ··· + 569785u + 75377)
c
9
(u
29
− 4u
28
+ ··· − u − 1)
· (u
148
+ 17u
147
+ ··· + 20173695u + 2908799)
c
10
(u
29
− 3u
28
+ ··· + 2u − 1)(u
148
− 16u
147
+ ··· − 121942u + 17011)
c
11
(u
29
− 2u
28
+ ··· − 2u − 1)(u
148
− u
147
+ ··· + 20974u − 1021)
c
12
(u
29
+ 8u
28
+ ··· − 5u + 1)(u
148
+ 3u
147
+ ··· − 45u − 1)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
29
− 3y
28
+ ··· + 44y −1)
· (y
148
+ 64y
147
+ ··· + 1862038336y + 104060401)
c
2
, c
6
(y
29
+ 9y
28
+ ··· − 20y −1)(y
148
+ 52y
147
+ ··· + 225688y + 10201)
c
3
(y
29
+ 21y
28
+ ··· + 440y −1)(y
148
+ 24y
147
+ ··· − 116y + 1)
c
4
(y
29
+ 2y
28
+ ··· + 16y −1)
· (y
148
− 59y
147
+ ··· − 6005658867352188y + 39810156201841)
c
5
, c
8
(y
29
− 9y
28
+ ··· + 11y −1)
· (y
148
− 110y
147
+ ··· − 159118159739y + 5681692129)
c
7
, c
11
(y
29
+ 8y
28
+ ··· − 20y −1)
· (y
148
+ 91y
147
+ ··· + 140301120y + 1042441)
c
9
(y
29
− 24y
28
+ ··· + 21y −1)
· (y
148
− 57y
147
+ ··· − 651689179521105y + 8461111622401)
c
10
(y
29
− 5y
28
+ ··· + 4y −1)
· (y
148
+ 26y
147
+ ··· + 23472466328y + 289374121)
c
12
(y
29
− 22y
28
+ ··· − 11y −1)(y
148
− 23y
147
+ ··· + 47y + 1)
29
