12a
0217
(K12a
0217
)
A knot diagram
1
Linearized knot diagam
3 6 7 9 10 2 12 4 11 5 1 8
Solving Sequence
7,12 4,8
9 5 1 3 2 6 11 10
c
7
c
8
c
4
c
12
c
3
c
1
c
6
c
11
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h3.70721 × 10
195
u
111
+ 1.47324 × 10
196
u
110
+ ··· + 3.10521 × 10
195
b + 1.11699 × 10
197
,
− 2.13027 × 10
197
u
111
− 6.51014 × 10
197
u
110
+ ··· + 8.07355 × 10
196
a − 3.95389 × 10
198
,
u
112
+ 3u
111
+ ··· − 15u + 13i
I
u
2
= h76a
7
+ 266a
6
+ 388a
5
+ 305a
4
+ 824a
3
+ 1064a
2
+ 1105b + 204a − 624,
a
8
+ 4a
7
+ 6a
6
+ 4a
5
+ 9a
4
+ 16a
3
− 4a
2
− 12a + 13, u − 1i
I
u
3
= h2a
5
− 5a
4
+ 10a
3
− 10a
2
+ 3b + 10a − 2, a
6
− 3a
5
+ 6a
4
− 7a
3
+ 6a
2
− 3a + 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 126 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
= h3.71 × 10
195
u
111
+ 1.47 × 10
196
u
110
+ · · · + 3.11 × 10
195
b + 1.12 ×
10
197
, −2.13 × 10
197
u
111
− 6.51 × 10
197
u
110
+ · · · + 8.07 × 10
196
a − 3.95 ×
10
198
, u
112
+ 3u
111
+ · · · − 15u + 13i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
4
=
2.63857u
111
+ 8.06354u
110
+ ··· − 122.697u + 48.9733
−1.19387u
111
− 4.74441u
110
+ ··· + 90.6056u − 35.9714
a
8
=
1
−u
2
a
9
=
−2.99707u
111
− 6.01775u
110
+ ··· + 45.9311u − 22.1710
2.77255u
111
+ 5.99213u
110
+ ··· − 52.3866u + 32.6865
a
5
=
0.435309u
111
+ 0.367120u
110
+ ··· + 24.5090u − 6.98519
−0.0312273u
111
− 1.16652u
110
+ ··· + 26.8632u − 5.19030
a
1
=
u
−u
3
+ u
a
3
=
1.44470u
111
+ 3.31913u
110
+ ··· − 32.0910u + 13.0019
−1.19387u
111
− 4.74441u
110
+ ··· + 90.6056u − 35.9714
a
2
=
1.04869u
111
+ 2.45896u
110
+ ··· − 15.8751u + 5.26265
0.166715u
111
− 1.01686u
110
+ ··· + 45.7581u − 16.0720
a
6
=
1.75205u
111
+ 4.39266u
110
+ ··· − 71.5032u + 30.3190
−0.327588u
111
− 2.29232u
110
+ ··· + 70.4015u − 30.0065
a
11
=
−u
3
u
5
− u
3
+ u
a
10
=
0.172592u
111
+ 1.01161u
110
+ ··· − 22.2733u + 16.4299
3.14906u
111
+ 6.75817u
110
+ ··· − 57.4630u + 36.9248
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.990034u
111
− 3.77498u
110
+ ··· + 48.5280u − 1.50406
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
112
+ 56u
111
+ ··· + 8u + 1
c
2
, c
6
u
112
− 2u
111
+ ··· − 2u + 1
c
3
u
112
+ 2u
111
+ ··· − 328230u + 69121
c
4
, c
8
u
112
− u
111
+ ··· + 3468u + 548
c
5
, c
10
u
112
+ u
111
+ ··· + 4u + 4
c
7
, c
12
u
112
− 3u
111
+ ··· + 15u + 13
c
9
u
112
+ 61u
111
+ ··· + 80u + 16
c
11
u
112
− 53u
111
+ ··· − 1577u + 169
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
112
+ 8y
111
+ ··· + 56y + 1
c
2
, c
6
y
112
+ 56y
111
+ ··· + 8y + 1
c
3
y
112
− 40y
111
+ ··· − 53022343592y + 4777712641
c
4
, c
8
y
112
− 91y
111
+ ··· + 5715024y + 300304
c
5
, c
10
y
112
+ 61y
111
+ ··· + 80y + 16
c
7
, c
12
y
112
− 53y
111
+ ··· − 1577y + 169
c
9
y
112
− 15y
111
+ ··· − 5888y + 256
c
11
y
112
+ 27y
111
+ ··· + 1838795y + 28561
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.450808 + 0.886061I
a = 0.385754 − 0.040786I
b = −1.27595 + 0.62290I
−6.67919 + 6.50991I 0
u = −0.450808 − 0.886061I
a = 0.385754 + 0.040786I
b = −1.27595 − 0.62290I
−6.67919 − 6.50991I 0
u = −0.857146 + 0.529607I
a = 1.30120 − 1.40188I
b = −0.70030 + 1.48450I
−2.77096 − 3.67618I 0
u = −0.857146 − 0.529607I
a = 1.30120 + 1.40188I
b = −0.70030 − 1.48450I
−2.77096 + 3.67618I 0
u = 0.982487 + 0.247895I
a = 1.327630 + 0.482226I
b = 0.239739 − 0.493297I
−0.50416 − 3.69973I 0
u = 0.982487 − 0.247895I
a = 1.327630 − 0.482226I
b = 0.239739 + 0.493297I
−0.50416 + 3.69973I 0
u = −0.542277 + 0.856250I
a = 0.410024 + 0.164661I
b = −1.317720 + 0.427134I
−7.27631 − 2.43835I 0
u = −0.542277 − 0.856250I
a = 0.410024 − 0.164661I
b = −1.317720 − 0.427134I
−7.27631 + 2.43835I 0
u = −0.859585 + 0.537868I
a = −0.62765 + 1.81967I
b = −0.16337 − 1.53346I
−2.75459 − 0.62134I 0
u = −0.859585 − 0.537868I
a = −0.62765 − 1.81967I
b = −0.16337 + 1.53346I
−2.75459 + 0.62134I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.924121 + 0.335108I
a = −0.886266 + 0.776763I
b = −0.493959 − 0.455629I
1.76222 − 0.70527I 0
u = −0.924121 − 0.335108I
a = −0.886266 − 0.776763I
b = −0.493959 + 0.455629I
1.76222 + 0.70527I 0
u = 0.827119 + 0.592053I
a = 0.084030 + 0.863952I
b = 1.010450 − 0.284902I
−2.31541 + 2.35649I 0
u = 0.827119 − 0.592053I
a = 0.084030 − 0.863952I
b = 1.010450 + 0.284902I
−2.31541 − 2.35649I 0
u = 0.716957 + 0.742374I
a = −0.111903 − 1.026480I
b = −1.094290 − 0.151911I
−5.89050 − 1.33250I 0
u = 0.716957 − 0.742374I
a = −0.111903 + 1.026480I
b = −1.094290 + 0.151911I
−5.89050 + 1.33250I 0
u = 0.432380 + 0.943489I
a = 0.070653 − 0.187610I
b = −1.49402 − 0.53409I
−6.28686 − 6.63610I 0
u = 0.432380 − 0.943489I
a = 0.070653 + 0.187610I
b = −1.49402 + 0.53409I
−6.28686 + 6.63610I 0
u = 0.825612 + 0.491984I
a = −1.32726 − 0.52908I
b = −0.998165 + 0.528922I
−2.45947 + 0.05845I 0
u = 0.825612 − 0.491984I
a = −1.32726 + 0.52908I
b = −0.998165 − 0.528922I
−2.45947 − 0.05845I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.473978 + 0.832935I
a = −0.307480 + 0.052481I
b = 1.207370 + 0.525705I
−3.39240 − 1.77371I 0
u = 0.473978 − 0.832935I
a = −0.307480 − 0.052481I
b = 1.207370 − 0.525705I
−3.39240 + 1.77371I 0
u = −0.902487 + 0.542851I
a = 0.983035 − 0.938609I
b = 1.122520 + 0.558603I
−0.48475 − 4.79014I 0
u = −0.902487 − 0.542851I
a = 0.983035 + 0.938609I
b = 1.122520 − 0.558603I
−0.48475 + 4.79014I 0
u = −0.787367 + 0.518126I
a = 0.28509 − 1.47521I
b = 0.749352 − 0.222493I
−0.866759 + 0.474494I 0
u = −0.787367 − 0.518126I
a = 0.28509 + 1.47521I
b = 0.749352 + 0.222493I
−0.866759 − 0.474494I 0
u = 0.916095 + 0.534423I
a = −0.05813 − 1.46802I
b = −0.638335 − 0.051172I
−2.10127 + 4.07115I 0
u = 0.916095 − 0.534423I
a = −0.05813 + 1.46802I
b = −0.638335 + 0.051172I
−2.10127 − 4.07115I 0
u = −0.408830 + 0.981568I
a = −0.152996 − 0.099204I
b = 1.55730 − 0.57237I
−9.5603 + 11.5301I 0
u = −0.408830 − 0.981568I
a = −0.152996 + 0.099204I
b = 1.55730 + 0.57237I
−9.5603 − 11.5301I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.940382 + 0.501312I
a = 0.71959 + 1.70667I
b = 0.02383 − 1.47836I
0.90883 + 4.57646I 0
u = 0.940382 − 0.501312I
a = 0.71959 − 1.70667I
b = 0.02383 + 1.47836I
0.90883 − 4.57646I 0
u = 0.817130 + 0.443293I
a = −1.22803 − 1.37489I
b = 0.63907 + 1.37754I
0.390538 − 0.715302I 0
u = 0.817130 − 0.443293I
a = −1.22803 + 1.37489I
b = 0.63907 − 1.37754I
0.390538 + 0.715302I 0
u = −0.486952 + 0.964165I
a = −0.163677 − 0.311624I
b = 1.52422 − 0.44200I
−10.37660 + 2.41346I 0
u = −0.486952 − 0.964165I
a = −0.163677 + 0.311624I
b = 1.52422 + 0.44200I
−10.37660 − 2.41346I 0
u = 0.628444 + 0.885268I
a = 0.095945 + 0.286157I
b = −1.066020 − 0.133992I
−7.62067 + 1.92280I 0
u = 0.628444 − 0.885268I
a = 0.095945 − 0.286157I
b = −1.066020 + 0.133992I
−7.62067 − 1.92280I 0
u = 1.068720 + 0.200240I
a = 0.771960 − 0.227365I
b = 0.007372 − 0.383032I
−1.16926 + 3.61056I 0
u = 1.068720 − 0.200240I
a = 0.771960 + 0.227365I
b = 0.007372 + 0.383032I
−1.16926 − 3.61056I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.058450 + 0.308302I
a = −1.24886 − 0.99979I
b = 0.880552 + 1.104800I
2.38675 − 0.29739I 0
u = 1.058450 − 0.308302I
a = −1.24886 + 0.99979I
b = 0.880552 − 1.104800I
2.38675 + 0.29739I 0
u = −0.595632 + 0.930937I
a = −0.176599 + 0.385479I
b = 1.043590 − 0.232052I
−11.13740 + 2.81193I 0
u = −0.595632 − 0.930937I
a = −0.176599 − 0.385479I
b = 1.043590 + 0.232052I
−11.13740 − 2.81193I 0
u = −0.964229 + 0.556788I
a = −0.79637 + 1.78638I
b = 0.01568 − 1.58229I
−2.19982 − 9.15039I 0
u = −0.964229 − 0.556788I
a = −0.79637 − 1.78638I
b = 0.01568 + 1.58229I
−2.19982 + 9.15039I 0
u = −0.710133 + 0.516149I
a = 1.22205 − 1.44142I
b = −0.51058 + 1.46382I
−3.04021 + 4.76122I 0
u = −0.710133 − 0.516149I
a = 1.22205 + 1.44142I
b = −0.51058 − 1.46382I
−3.04021 − 4.76122I 0
u = −1.026700 + 0.466594I
a = −0.61616 + 1.41099I
b = −0.760345 − 0.729067I
2.85365 − 2.10734I 0
u = −1.026700 − 0.466594I
a = −0.61616 − 1.41099I
b = −0.760345 + 0.729067I
2.85365 + 2.10734I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.683523 + 0.911532I
a = −0.196028 + 0.173729I
b = 1.175360 − 0.135200I
−11.47110 − 6.39364I 0
u = −0.683523 − 0.911532I
a = −0.196028 − 0.173729I
b = 1.175360 + 0.135200I
−11.47110 + 6.39364I 0
u = −1.128500 + 0.163734I
a = −0.975074 + 0.371373I
b = 0.244105 − 0.495902I
2.03981 − 0.28607I 0
u = −1.128500 − 0.163734I
a = −0.975074 − 0.371373I
b = 0.244105 + 0.495902I
2.03981 + 0.28607I 0
u = 1.077690 + 0.373170I
a = 0.89327 + 1.29029I
b = −0.224378 − 1.187290I
3.45292 + 4.61019I 0
u = 1.077690 − 0.373170I
a = 0.89327 − 1.29029I
b = −0.224378 + 1.187290I
3.45292 − 4.61019I 0
u = 0.935018 + 0.685604I
a = −0.261151 − 0.878476I
b = −1.319890 + 0.435228I
−5.24025 + 6.75819I 0
u = 0.935018 − 0.685604I
a = −0.261151 + 0.878476I
b = −1.319890 − 0.435228I
−5.24025 − 6.75819I 0
u = −1.124260 + 0.296257I
a = −0.957803 + 0.993983I
b = 0.299323 − 0.964655I
3.69288 − 0.58388I 0
u = −1.124260 − 0.296257I
a = −0.957803 − 0.993983I
b = 0.299323 + 0.964655I
3.69288 + 0.58388I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.159940 + 0.082093I
a = 0.428704 + 0.164622I
b = −0.485355 − 0.495379I
0.70822 − 1.44061I 0
u = −1.159940 − 0.082093I
a = 0.428704 − 0.164622I
b = −0.485355 + 0.495379I
0.70822 + 1.44061I 0
u = −1.034010 + 0.566715I
a = 0.57827 − 1.57727I
b = 1.28455 + 0.69444I
0.58248 − 6.77944I 0
u = −1.034010 − 0.566715I
a = 0.57827 + 1.57727I
b = 1.28455 − 0.69444I
0.58248 + 6.77944I 0
u = 1.070670 + 0.522453I
a = 0.41055 + 1.62106I
b = 0.896892 − 0.834838I
2.17056 + 6.67494I 0
u = 1.070670 − 0.522453I
a = 0.41055 − 1.62106I
b = 0.896892 + 0.834838I
2.17056 − 6.67494I 0
u = −1.172020 + 0.235636I
a = 1.27232 − 0.71187I
b = −0.972807 + 0.902220I
2.30017 + 4.00091I 0
u = −1.172020 − 0.235636I
a = 1.27232 + 0.71187I
b = −0.972807 − 0.902220I
2.30017 − 4.00091I 0
u = 1.201560 + 0.102438I
a = 1.293600 + 0.269876I
b = −0.508248 − 0.311304I
−0.78446 − 3.96097I 0
u = 1.201560 − 0.102438I
a = 1.293600 − 0.269876I
b = −0.508248 + 0.311304I
−0.78446 + 3.96097I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.381817 + 0.676898I
a = −0.724158 − 0.310670I
b = −1.116330 − 0.623866I
−2.13751 − 6.65846I −1.74684 + 7.19781I
u = 0.381817 − 0.676898I
a = −0.724158 + 0.310670I
b = −1.116330 + 0.623866I
−2.13751 + 6.65846I −1.74684 − 7.19781I
u = −0.530576 + 0.552072I
a = 0.821404 − 0.960181I
b = 0.941080 − 0.479178I
−0.90996 + 2.19304I − 60.10 − 0.954685I
u = −0.530576 − 0.552072I
a = 0.821404 + 0.960181I
b = 0.941080 + 0.479178I
−0.90996 − 2.19304I − 60.10 + 0.954685I
u = 1.087630 + 0.588067I
a = −0.32008 − 1.75702I
b = −1.37091 + 0.74625I
−0.15222 + 11.58350I 0
u = 1.087630 − 0.588067I
a = −0.32008 + 1.75702I
b = −1.37091 − 0.74625I
−0.15222 − 11.58350I 0
u = 1.036770 + 0.726840I
a = 0.06854 − 1.43617I
b = −0.799763 + 0.348331I
−6.37547 + 4.01493I 0
u = 1.036770 − 0.726840I
a = 0.06854 + 1.43617I
b = −0.799763 − 0.348331I
−6.37547 − 4.01493I 0
u = −1.013590 + 0.772413I
a = −0.11678 − 1.41252I
b = 0.904586 + 0.355156I
−10.46070 + 0.23425I 0
u = −1.013590 − 0.772413I
a = −0.11678 + 1.41252I
b = 0.904586 − 0.355156I
−10.46070 − 0.23425I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.081080 + 0.678298I
a = 0.16557 + 1.64529I
b = −1.28240 − 0.82694I
−5.64478 − 3.26168I 0
u = −1.081080 − 0.678298I
a = 0.16557 − 1.64529I
b = −1.28240 + 0.82694I
−5.64478 + 3.26168I 0
u = 1.106860 + 0.643894I
a = −0.05335 + 1.74699I
b = 1.20472 − 0.90179I
−1.48775 + 7.29013I 0
u = 1.106860 − 0.643894I
a = −0.05335 − 1.74699I
b = 1.20472 + 0.90179I
−1.48775 − 7.29013I 0
u = 0.703712 + 0.100809I
a = −0.29810 + 1.73880I
b = 0.412036 − 1.130510I
0.64540 + 2.34760I −3.30070 − 5.06400I
u = 0.703712 − 0.100809I
a = −0.29810 − 1.73880I
b = 0.412036 + 1.130510I
0.64540 − 2.34760I −3.30070 + 5.06400I
u = −1.074640 + 0.737016I
a = −0.07256 − 1.47431I
b = 0.775909 + 0.426799I
−9.67145 − 8.90991I 0
u = −1.074640 − 0.737016I
a = −0.07256 + 1.47431I
b = 0.775909 − 0.426799I
−9.67145 + 8.90991I 0
u = −1.133230 + 0.656462I
a = 0.10862 + 1.83683I
b = −1.24411 − 0.96475I
−4.61274 − 12.20790I 0
u = −1.133230 − 0.656462I
a = 0.10862 − 1.83683I
b = −1.24411 + 0.96475I
−4.61274 + 12.20790I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.320560 + 0.108558I
a = 1.293560 − 0.189033I
b = −1.047620 + 0.519491I
−0.01600 + 3.48973I 0
u = −1.320560 − 0.108558I
a = 1.293560 + 0.189033I
b = −1.047620 − 0.519491I
−0.01600 − 3.48973I 0
u = 1.158700 + 0.671263I
a = 0.21640 − 1.77484I
b = −1.57741 + 0.75572I
−4.07231 + 12.53520I 0
u = 1.158700 − 0.671263I
a = 0.21640 + 1.77484I
b = −1.57741 − 0.75572I
−4.07231 − 12.53520I 0
u = −1.143650 + 0.704530I
a = −0.28766 − 1.62742I
b = 1.60927 + 0.69063I
−8.36778 − 8.49053I 0
u = −1.143650 − 0.704530I
a = −0.28766 + 1.62742I
b = 1.60927 − 0.69063I
−8.36778 + 8.49053I 0
u = 1.356570 + 0.058794I
a = −1.273020 − 0.006187I
b = 1.036810 + 0.381627I
−3.58530 + 0.61655I 0
u = 1.356570 − 0.058794I
a = −1.273020 + 0.006187I
b = 1.036810 − 0.381627I
−3.58530 − 0.61655I 0
u = −1.182990 + 0.675532I
a = −0.30380 − 1.84456I
b = 1.61431 + 0.78845I
−7.1880 − 17.5468I 0
u = −1.182990 − 0.675532I
a = −0.30380 + 1.84456I
b = 1.61431 − 0.78845I
−7.1880 + 17.5468I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.225025 + 0.596399I
a = 0.286234 − 0.057094I
b = 0.578271 + 0.650812I
−0.04328 − 2.34631I 1.81701 + 3.47116I
u = 0.225025 − 0.596399I
a = 0.286234 + 0.057094I
b = 0.578271 − 0.650812I
−0.04328 + 2.34631I 1.81701 − 3.47116I
u = 0.221549 + 0.591679I
a = −0.140575 + 1.066260I
b = −0.340236 + 0.151538I
−3.63686 − 0.52707I −7.64565 + 0.08563I
u = 0.221549 − 0.591679I
a = −0.140575 − 1.066260I
b = −0.340236 − 0.151538I
−3.63686 + 0.52707I −7.64565 − 0.08563I
u = 1.363180 + 0.136144I
a = −1.43861 − 0.16525I
b = 1.159640 + 0.507977I
−3.22973 − 7.98182I 0
u = 1.363180 − 0.136144I
a = −1.43861 + 0.16525I
b = 1.159640 − 0.507977I
−3.22973 + 7.98182I 0
u = −0.048150 + 0.456195I
a = −0.826428 + 0.180873I
b = −0.134291 + 0.725341I
0.61726 − 1.41846I 3.09666 + 4.67925I
u = −0.048150 − 0.456195I
a = −0.826428 − 0.180873I
b = −0.134291 − 0.725341I
0.61726 + 1.41846I 3.09666 − 4.67925I
u = 0.396967 + 0.201628I
a = −1.33484 + 2.21073I
b = −0.567097 + 0.562797I
−2.48400 + 6.00879I −4.68112 − 8.65446I
u = 0.396967 − 0.201628I
a = −1.33484 − 2.21073I
b = −0.567097 − 0.562797I
−2.48400 − 6.00879I −4.68112 + 8.65446I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.164490 + 0.292346I
a = −0.48184 + 2.19627I
b = 0.345986 + 0.586919I
−0.32189 − 1.84668I −0.17990 + 4.47002I
u = −0.164490 − 0.292346I
a = −0.48184 − 2.19627I
b = 0.345986 − 0.586919I
−0.32189 + 1.84668I −0.17990 − 4.47002I
16
II. I
u
2
= h76a
7
+ 1105b + · · · + 204a − 624, a
8
+ 4a
7
+ · · · − 12a + 13, u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
1
a
4
=
a
−0.0687783a
7
− 0.240724a
6
+ ··· − 0.184615a + 0.564706
a
8
=
1
−1
a
9
=
0.0343891a
7
+ 0.0615385a
6
+ ··· − 0.260633a + 1.89412
−0.0343891a
7
− 0.179186a
6
+ ··· − 0.445249a − 0.541176
a
5
=
0.186425a
7
+ 0.593665a
6
+ ··· − 1.16833a − 0.564706
−0.130317a
7
− 0.397285a
6
+ ··· + 1.84525a + 0.788235
a
1
=
1
0
a
3
=
−0.0687783a
7
− 0.240724a
6
+ ··· + 0.815385a + 0.564706
−0.0687783a
7
− 0.240724a
6
+ ··· − 0.184615a + 0.564706
a
2
=
−0.0343891a
7
− 0.179186a
6
+ ··· − 0.445249a + 1.45882
−0.0687783a
7
− 0.240724a
6
+ ··· − 0.184615a − 0.435294
a
6
=
−a
0.0687783a
7
+ 0.240724a
6
+ ··· + 0.184615a − 0.564706
a
11
=
−1
1
a
10
=
0.0343891a
7
+ 0.179186a
6
+ ··· + 0.445249a + 0.541176
−0.0343891a
7
− 0.296833a
6
+ ··· − 1.15113a + 0.811765
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
304
1105
a
7
−
1584
1105
a
6
−
3112
1105
a
5
−
712
221
a
4
−
5376
1105
a
3
−
8156
1105
a
2
−
3936
1105
a +
312
85
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u
2
− u + 1)
4
c
3
, c
6
(u
2
+ u + 1)
4
c
4
, c
8
(u
4
− 2u
2
+ 2)
2
c
5
, c
10
(u
4
+ 2u
2
+ 2)
2
c
7
(u − 1)
8
c
9
(u
2
− 2u + 2)
4
c
11
, c
12
(u + 1)
8
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
4
c
4
, c
8
(y
2
− 2y + 2)
4
c
5
, c
10
(y
2
+ 2y + 2)
4
c
7
, c
11
, c
12
(y −1)
8
c
9
(y
2
+ 4)
4
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 0.598684 + 0.410936I
b = 0.500000 − 0.866025I
−0.82247 + 5.69375I 2.00000 − 7.46410I
u = 1.00000
a = 0.598684 − 0.410936I
b = 0.500000 + 0.866025I
−0.82247 − 5.69375I 2.00000 + 7.46410I
u = 1.00000
a = 0.59868 + 1.32112I
b = 0.500000 − 0.866025I
−0.82247 − 1.63398I 2.00000 + 0.53590I
u = 1.00000
a = 0.59868 − 1.32112I
b = 0.500000 + 0.866025I
−0.82247 + 1.63398I 2.00000 − 0.53590I
u = 1.00000
a = −1.59868 + 0.41094I
b = 0.500000 − 0.866025I
−0.82247 − 1.63398I 2.00000 + 0.53590I
u = 1.00000
a = −1.59868 − 0.41094I
b = 0.500000 + 0.866025I
−0.82247 + 1.63398I 2.00000 − 0.53590I
u = 1.00000
a = −1.59868 + 1.32112I
b = 0.500000 − 0.866025I
−0.82247 + 5.69375I 2.00000 − 7.46410I
u = 1.00000
a = −1.59868 − 1.32112I
b = 0.500000 + 0.866025I
−0.82247 − 5.69375I 2.00000 + 7.46410I
20
III. I
u
3
=
h2a
5
−5a
4
+10a
3
−10a
2
+3b+10a−2, a
6
−3a
5
+6a
4
−7a
3
+6a
2
−3a+1, u+1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
−1
a
4
=
a
−
2
3
a
5
+
5
3
a
4
+ ··· −
10
3
a +
2
3
a
8
=
1
−1
a
9
=
−
1
3
a
5
+
2
3
a
4
+ ··· −
4
3
a +
5
3
1
3
a
5
− a
4
+ 2a
3
−
8
3
a
2
+ 2a − 2
a
5
=
a
5
−
7
3
a
4
+ ··· +
11
3
a −
2
3
−
5
3
a
5
+ 4a
4
+ ··· − 6a +
4
3
a
1
=
−1
0
a
3
=
−
2
3
a
5
+
5
3
a
4
+ ··· −
7
3
a +
2
3
−
2
3
a
5
+
5
3
a
4
+ ··· −
10
3
a +
2
3
a
2
=
−
1
3
a
5
+ a
4
− 2a
3
+
8
3
a
2
− 2a
−
2
3
a
5
+
5
3
a
4
+ ··· −
10
3
a +
5
3
a
6
=
a
−
2
3
a
5
+
5
3
a
4
+ ··· −
10
3
a +
2
3
a
11
=
1
−1
a
10
=
−
1
3
a
5
+ a
4
− 2a
3
+
8
3
a
2
− 2a + 2
1
3
a
5
−
4
3
a
4
+ ··· +
8
3
a −
7
3
(ii) Obstruction class = 1
(iii) Cusp Shapes =
8
3
a
5
− 6a
4
+ 12a
3
−
34
3
a
2
+ 12a + 2
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
6
(u
2
− u + 1)
3
c
2
(u
2
+ u + 1)
3
c
4
, c
5
, c
8
c
9
, c
10
u
6
c
7
, c
11
(u + 1)
6
c
12
(u − 1)
6
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
3
c
4
, c
5
, c
8
c
9
, c
10
y
6
c
7
, c
11
, c
12
(y −1)
6
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0.500000 + 0.866025I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 6.00000 + 3.46410I
u = −1.00000
a = 0.500000 + 0.866025I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 6.00000 + 3.46410I
u = −1.00000
a = 0.500000 + 0.866025I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 6.00000 + 3.46410I
u = −1.00000
a = 0.500000 − 0.866025I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 6.00000 − 3.46410I
u = −1.00000
a = 0.500000 − 0.866025I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 6.00000 − 3.46410I
u = −1.00000
a = 0.500000 − 0.866025I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 6.00000 − 3.46410I
24
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
7
)(u
112
+ 56u
111
+ ··· + 8u + 1)
c
2
((u
2
− u + 1)
4
)(u
2
+ u + 1)
3
(u
112
− 2u
111
+ ··· − 2u + 1)
c
3
((u
2
− u + 1)
3
)(u
2
+ u + 1)
4
(u
112
+ 2u
111
+ ··· − 328230u + 69121)
c
4
, c
8
u
6
(u
4
− 2u
2
+ 2)
2
(u
112
− u
111
+ ··· + 3468u + 548)
c
5
, c
10
u
6
(u
4
+ 2u
2
+ 2)
2
(u
112
+ u
111
+ ··· + 4u + 4)
c
6
((u
2
− u + 1)
3
)(u
2
+ u + 1)
4
(u
112
− 2u
111
+ ··· − 2u + 1)
c
7
((u − 1)
8
)(u + 1)
6
(u
112
− 3u
111
+ ··· + 15u + 13)
c
9
u
6
(u
2
− 2u + 2)
4
(u
112
+ 61u
111
+ ··· + 80u + 16)
c
11
((u + 1)
14
)(u
112
− 53u
111
+ ··· − 1577u + 169)
c
12
((u − 1)
6
)(u + 1)
8
(u
112
− 3u
111
+ ··· + 15u + 13)
25
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
7
)(y
112
+ 8y
111
+ ··· + 56y + 1)
c
2
, c
6
((y
2
+ y + 1)
7
)(y
112
+ 56y
111
+ ··· + 8y + 1)
c
3
((y
2
+ y + 1)
7
)(y
112
− 40y
111
+ ··· − 5.30223 × 10
10
y + 4.77771 × 10
9
)
c
4
, c
8
y
6
(y
2
− 2y + 2)
4
(y
112
− 91y
111
+ ··· + 5715024y + 300304)
c
5
, c
10
y
6
(y
2
+ 2y + 2)
4
(y
112
+ 61y
111
+ ··· + 80y + 16)
c
7
, c
12
((y −1)
14
)(y
112
− 53y
111
+ ··· − 1577y + 169)
c
9
y
6
(y
2
+ 4)
4
(y
112
− 15y
111
+ ··· − 5888y + 256)
c
11
((y −1)
14
)(y
112
+ 27y
111
+ ··· + 1838795y + 28561)
26
