12a
1150
(K12a
1150
)
A knot diagram
1
Linearized knot diagam
4 8 10 1 9 11 12 3 5 2 7 6
Solving Sequence
1,5
4
2,10
11 3 9 6 8 12 7
c
4
c
1
c
10
c
3
c
9
c
5
c
8
c
12
c
7
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.18666 × 10
494
u
127
+ 2.74078 × 10
495
u
126
+ ··· + 1.23879 × 10
495
b + 3.23336 × 10
498
,
1.00423 × 10
498
u
127
− 1.10804 × 10
498
u
126
+ ··· + 3.70768 × 10
498
a + 1.56668 × 10
502
,
u
128
− 5u
127
+ ··· − 37733u + 2993i
I
u
2
= h−91u
29
− 497u
28
+ ··· + b + 50, −70u
29
− 382u
28
+ ··· + a + 55, u
30
+ 6u
29
+ ··· + 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 158 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−4.19 × 10
494
u
127
+ 2.74 × 10
495
u
126
+ · · · + 1.24 × 10
495
b + 3.23 ×
10
498
, 1.00 × 10
498
u
127
− 1.11 × 10
498
u
126
+ · · · + 3.71 × 10
498
a + 1.57 ×
10
502
, u
128
− 5u
127
+ · · · − 37733u + 2993i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
10
=
−0.270850u
127
+ 0.298849u
126
+ ··· + 50757.1u − 4225.51
0.337965u
127
− 2.21247u
126
+ ··· + 33868.8u − 2610.11
a
11
=
−0.384978u
127
+ 1.44361u
126
+ ··· + 19097.1u − 1722.59
0.324551u
127
− 2.32033u
126
+ ··· + 43523.8u − 3394.67
a
3
=
0.0501633u
127
− 0.309816u
126
+ ··· + 817.493u − 38.3816
−0.716970u
127
+ 3.31831u
126
+ ··· + 3376.46u − 487.291
a
9
=
−0.608816u
127
+ 2.51132u
126
+ ··· + 16888.3u − 1615.40
0.337965u
127
− 2.21247u
126
+ ··· + 33868.8u − 2610.11
a
6
=
−0.600314u
127
+ 2.76359u
126
+ ··· + 4022.01u − 506.130
0.686853u
127
− 3.07003u
126
+ ··· − 7881.20u + 865.155
a
8
=
−0.649052u
127
+ 2.99315u
126
+ ··· + 3309.65u − 514.316
0.573111u
127
− 3.23839u
126
+ ··· + 25753.4u − 1897.48
a
12
=
0.569116u
127
− 2.75613u
126
+ ··· + 8486.27u − 524.923
−0.629164u
127
+ 3.75298u
126
+ ··· − 38783.8u + 2966.12
a
7
=
−0.878184u
127
+ 4.15605u
126
+ ··· − 2864.11u − 4.06930
0.780784u
127
− 4.23061u
126
+ ··· + 24973.4u − 1806.56
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.12057u
127
− 22.6616u
126
+ ··· + 152682.u − 11111.6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
128
− 5u
127
+ ··· − 37733u + 2993
c
2
, c
8
u
128
− u
127
+ ··· − 2402u + 1871
c
3
u
128
+ u
127
+ ··· + 84348u + 15303
c
5
, c
9
u
128
− 3u
127
+ ··· − 955u + 179
c
6
, c
7
, c
11
u
128
− u
127
+ ··· − 937u + 143
c
10
u
128
− 3u
127
+ ··· − 39993003u + 7355933
c
12
u
128
+ 3u
127
+ ··· − 26436489u + 2658513
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
128
+ 75y
127
+ ··· + 244890043y + 8958049
c
2
, c
8
y
128
− 81y
127
+ ··· − 72261202y + 3500641
c
3
y
128
− 19y
127
+ ··· − 4223297496y + 234181809
c
5
, c
9
y
128
+ 73y
127
+ ··· + 2549835y + 32041
c
6
, c
7
, c
11
y
128
− 113y
127
+ ··· + 182233y + 20449
c
10
y
128
− 45y
127
+ ··· − 1476176757846483y + 54109750300489
c
12
y
128
+ 51y
127
+ ··· − 67685477032551y + 7067691371169
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.423354 + 0.902893I
a = −1.39619 − 1.02441I
b = −0.324360 + 0.161030I
4.94577 − 2.91555I 0
u = 0.423354 − 0.902893I
a = −1.39619 + 1.02441I
b = −0.324360 − 0.161030I
4.94577 + 2.91555I 0
u = −0.470432 + 0.860380I
a = −2.28098 + 0.02782I
b = −1.01766 − 1.07293I
−2.74363 + 8.62780I 0
u = −0.470432 − 0.860380I
a = −2.28098 − 0.02782I
b = −1.01766 + 1.07293I
−2.74363 − 8.62780I 0
u = 0.269356 + 0.934960I
a = −1.67062 + 0.12646I
b = −0.623816 + 1.131530I
0.52021 − 3.03294I 0
u = 0.269356 − 0.934960I
a = −1.67062 − 0.12646I
b = −0.623816 − 1.131530I
0.52021 + 3.03294I 0
u = 0.332825 + 0.907786I
a = 1.89264 − 0.14341I
b = 0.67875 − 1.40723I
−5.27226 − 6.09872I 0
u = 0.332825 − 0.907786I
a = 1.89264 + 0.14341I
b = 0.67875 + 1.40723I
−5.27226 + 6.09872I 0
u = −0.153513 + 0.953315I
a = 0.464942 − 0.477788I
b = 0.46739 − 1.60953I
−3.94532 + 0.22982I 0
u = −0.153513 − 0.953315I
a = 0.464942 + 0.477788I
b = 0.46739 + 1.60953I
−3.94532 − 0.22982I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.039560 + 0.050533I
a = −0.310651 − 0.248253I
b = −0.421096 + 1.086510I
−0.38641 − 3.63335I 0
u = 1.039560 − 0.050533I
a = −0.310651 + 0.248253I
b = −0.421096 − 1.086510I
−0.38641 + 3.63335I 0
u = −0.192728 + 1.025270I
a = −1.39190 + 1.46602I
b = −0.307475 − 1.120000I
−0.13297 + 7.89186I 0
u = −0.192728 − 1.025270I
a = −1.39190 − 1.46602I
b = −0.307475 + 1.120000I
−0.13297 − 7.89186I 0
u = −0.915669 + 0.273360I
a = 0.139300 + 0.340268I
b = 0.033842 − 1.028560I
−3.38727 + 0.73845I 0
u = −0.915669 − 0.273360I
a = 0.139300 − 0.340268I
b = 0.033842 + 1.028560I
−3.38727 − 0.73845I 0
u = 0.073999 + 0.950161I
a = −2.42086 − 0.59686I
b = −0.274415 − 0.563450I
4.87783 − 2.63292I 0
u = 0.073999 − 0.950161I
a = −2.42086 + 0.59686I
b = −0.274415 + 0.563450I
4.87783 + 2.63292I 0
u = 0.198301 + 0.932064I
a = 0.763066 − 0.271450I
b = 0.17277 − 1.64237I
−5.24560 − 5.34813I 0
u = 0.198301 − 0.932064I
a = 0.763066 + 0.271450I
b = 0.17277 + 1.64237I
−5.24560 + 5.34813I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.075277 + 1.046560I
a = 2.32846 − 0.90486I
b = 0.333042 + 0.944205I
5.67957 + 2.84471I 0
u = −0.075277 − 1.046560I
a = 2.32846 + 0.90486I
b = 0.333042 − 0.944205I
5.67957 − 2.84471I 0
u = −0.473178 + 0.966880I
a = 1.88834 + 0.04267I
b = 0.999230 + 0.980247I
2.06874 + 5.40864I 0
u = −0.473178 − 0.966880I
a = 1.88834 − 0.04267I
b = 0.999230 − 0.980247I
2.06874 − 5.40864I 0
u = −0.748511 + 0.514113I
a = −0.398608 + 0.382557I
b = 0.071652 + 0.186617I
−4.60215 + 2.63504I 0
u = −0.748511 − 0.514113I
a = −0.398608 − 0.382557I
b = 0.071652 − 0.186617I
−4.60215 − 2.63504I 0
u = −0.219229 + 1.070890I
a = −1.41289 − 0.73386I
b = −0.776318 − 1.002210I
1.14984 + 3.20219I 0
u = −0.219229 − 1.070890I
a = −1.41289 + 0.73386I
b = −0.776318 + 1.002210I
1.14984 − 3.20219I 0
u = −0.938054 + 0.581548I
a = −0.022995 − 0.530499I
b = −0.093052 + 1.204950I
−8.71597 + 1.94076I 0
u = −0.938054 − 0.581548I
a = −0.022995 + 0.530499I
b = −0.093052 − 1.204950I
−8.71597 − 1.94076I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.545180 + 0.707470I
a = −0.146995 + 0.611732I
b = −0.67536 + 1.29878I
−3.18002 − 4.47787I 0
u = −0.545180 − 0.707470I
a = −0.146995 − 0.611732I
b = −0.67536 − 1.29878I
−3.18002 + 4.47787I 0
u = 0.791849 + 0.778586I
a = 0.729297 + 1.009260I
b = −0.121777 − 0.665758I
1.77742 − 0.84102I 0
u = 0.791849 − 0.778586I
a = 0.729297 − 1.009260I
b = −0.121777 + 0.665758I
1.77742 + 0.84102I 0
u = −0.146701 + 0.875530I
a = 1.82038 + 1.46602I
b = 0.778709 + 1.143600I
−4.18946 + 1.21239I 0
u = −0.146701 − 0.875530I
a = 1.82038 − 1.46602I
b = 0.778709 − 1.143600I
−4.18946 − 1.21239I 0
u = 0.039449 + 0.861072I
a = −0.672246 + 0.474979I
b = −0.29952 + 1.56926I
−0.39829 − 2.34817I 0
u = 0.039449 − 0.861072I
a = −0.672246 − 0.474979I
b = −0.29952 − 1.56926I
−0.39829 + 2.34817I 0
u = 0.125197 + 0.843825I
a = 1.41138 − 0.40601I
b = 0.314913 − 0.865753I
0.113590 + 0.590861I 0
u = 0.125197 − 0.843825I
a = 1.41138 + 0.40601I
b = 0.314913 + 0.865753I
0.113590 − 0.590861I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.381458 + 0.761500I
a = −1.069820 + 0.915367I
b = 0.17656 + 1.45583I
−5.72841 + 2.99182I 0
u = 0.381458 − 0.761500I
a = −1.069820 − 0.915367I
b = 0.17656 − 1.45583I
−5.72841 − 2.99182I 0
u = −0.775718 + 0.320411I
a = 0.144068 + 0.523487I
b = −0.585538 + 0.904972I
−3.35095 + 2.24467I 0
u = −0.775718 − 0.320411I
a = 0.144068 − 0.523487I
b = −0.585538 − 0.904972I
−3.35095 − 2.24467I 0
u = 1.156770 + 0.107470I
a = 0.182059 − 0.265880I
b = 0.529516 + 1.118880I
2.16947 + 7.95562I 0
u = 1.156770 − 0.107470I
a = 0.182059 + 0.265880I
b = 0.529516 − 1.118880I
2.16947 − 7.95562I 0
u = 0.817865 + 0.157574I
a = 0.061112 + 1.005170I
b = −0.794327 − 0.308821I
−0.25545 − 6.89438I 0
u = 0.817865 − 0.157574I
a = 0.061112 − 1.005170I
b = −0.794327 + 0.308821I
−0.25545 + 6.89438I 0
u = 0.435891 + 1.086600I
a = 1.44473 + 0.69295I
b = 1.145620 − 0.288410I
−0.69495 − 3.59503I 0
u = 0.435891 − 1.086600I
a = 1.44473 − 0.69295I
b = 1.145620 + 0.288410I
−0.69495 + 3.59503I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.438944 + 0.683700I
a = 0.842488 − 0.603146I
b = −0.014221 − 1.266580I
−0.0338986 + 0.1035340I 0
u = 0.438944 − 0.683700I
a = 0.842488 + 0.603146I
b = −0.014221 + 1.266580I
−0.0338986 − 0.1035340I 0
u = 0.429309 + 1.134560I
a = 2.07058 − 0.20797I
b = 0.426216 − 1.267090I
−5.53270 − 8.26272I 0
u = 0.429309 − 1.134560I
a = 2.07058 + 0.20797I
b = 0.426216 + 1.267090I
−5.53270 + 8.26272I 0
u = 1.196870 + 0.209781I
a = −0.120996 + 0.274123I
b = −0.586193 − 1.161350I
−2.78042 + 12.11600I 0
u = 1.196870 − 0.209781I
a = −0.120996 − 0.274123I
b = −0.586193 + 1.161350I
−2.78042 − 12.11600I 0
u = −0.548550 + 1.087530I
a = −1.52557 + 0.11719I
b = −1.062690 − 0.818162I
−1.13485 + 2.66609I 0
u = −0.548550 − 1.087530I
a = −1.52557 − 0.11719I
b = −1.062690 + 0.818162I
−1.13485 − 2.66609I 0
u = 0.675623 + 0.370526I
a = 0.024879 − 0.788771I
b = 0.340779 + 1.331790I
−7.93751 + 4.01591I 0
u = 0.675623 − 0.370526I
a = 0.024879 + 0.788771I
b = 0.340779 − 1.331790I
−7.93751 − 4.01591I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.254648 + 0.720694I
a = −1.74942 + 0.83229I
b = 0.020300 + 1.144070I
−5.68013 + 3.12898I 0
u = 0.254648 − 0.720694I
a = −1.74942 − 0.83229I
b = 0.020300 − 1.144070I
−5.68013 − 3.12898I 0
u = −0.590268 + 0.478730I
a = −0.031022 − 0.681384I
b = 0.587078 − 1.128660I
0.705326 − 1.170080I 0
u = −0.590268 − 0.478730I
a = −0.031022 + 0.681384I
b = 0.587078 + 1.128660I
0.705326 + 1.170080I 0
u = −0.588385 + 1.101620I
a = −1.58219 − 0.03166I
b = −0.240364 − 1.082140I
−6.90568 + 3.64139I 0
u = −0.588385 − 1.101620I
a = −1.58219 + 0.03166I
b = −0.240364 + 1.082140I
−6.90568 − 3.64139I 0
u = 0.303713 + 1.215440I
a = −1.39167 − 0.45088I
b = −1.044330 − 0.454714I
6.29803 − 2.92255I 0
u = 0.303713 − 1.215440I
a = −1.39167 + 0.45088I
b = −1.044330 + 0.454714I
6.29803 + 2.92255I 0
u = −0.121115 + 1.280280I
a = 1.051200 − 0.054909I
b = 0.887799 − 0.407011I
1.35345 − 1.06976I 0
u = −0.121115 − 1.280280I
a = 1.051200 + 0.054909I
b = 0.887799 + 0.407011I
1.35345 + 1.06976I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.095327 + 0.706839I
a = 3.29028 + 1.23932I
b = −0.155225 + 0.611571I
−1.30741 − 6.25513I 0
u = −0.095327 − 0.706839I
a = 3.29028 − 1.23932I
b = −0.155225 − 0.611571I
−1.30741 + 6.25513I 0
u = 0.667779 + 0.225418I
a = 0.104680 − 1.227050I
b = 0.647149 + 0.222067I
4.63149 − 3.35773I 0
u = 0.667779 − 0.225418I
a = 0.104680 + 1.227050I
b = 0.647149 − 0.222067I
4.63149 + 3.35773I 0
u = 0.194459 + 1.281650I
a = −1.63007 + 1.22146I
b = −0.382864 + 0.960220I
3.65455 − 5.91414I 0
u = 0.194459 − 1.281650I
a = −1.63007 − 1.22146I
b = −0.382864 − 0.960220I
3.65455 + 5.91414I 0
u = 0.379039 + 1.252740I
a = 1.271800 + 0.516126I
b = 1.249390 + 0.422652I
8.82873 − 7.18518I 0
u = 0.379039 − 1.252740I
a = 1.271800 − 0.516126I
b = 1.249390 − 0.422652I
8.82873 + 7.18518I 0
u = −0.267487 + 1.289610I
a = −1.025600 + 0.071613I
b = −0.914394 + 0.173486I
4.85246 + 2.70467I 0
u = −0.267487 − 1.289610I
a = −1.025600 − 0.071613I
b = −0.914394 − 0.173486I
4.85246 − 2.70467I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.024371 + 1.321040I
a = 0.46778 − 1.74210I
b = 0.252389 − 0.764683I
6.40555 + 0.15850I 0
u = −0.024371 − 1.321040I
a = 0.46778 + 1.74210I
b = 0.252389 + 0.764683I
6.40555 − 0.15850I 0
u = 0.429341 + 1.259990I
a = −1.215920 − 0.570991I
b = −1.36842 − 0.38754I
3.86166 − 11.26440I 0
u = 0.429341 − 1.259990I
a = −1.215920 + 0.570991I
b = −1.36842 + 0.38754I
3.86166 + 11.26440I 0
u = −0.502319 + 1.244240I
a = 1.269080 + 0.158183I
b = 0.525525 + 0.964652I
−0.23134 + 4.44224I 0
u = −0.502319 − 1.244240I
a = 1.269080 − 0.158183I
b = 0.525525 − 0.964652I
−0.23134 − 4.44224I 0
u = −1.307740 + 0.337807I
a = 0.034811 − 0.339470I
b = −0.320421 + 0.905853I
−1.68224 − 1.34484I 0
u = −1.307740 − 0.337807I
a = 0.034811 + 0.339470I
b = −0.320421 − 0.905853I
−1.68224 + 1.34484I 0
u = −0.373635 + 1.309580I
a = 1.042210 − 0.076280I
b = 0.988623 + 0.033998I
0.67345 + 6.50937I 0
u = −0.373635 − 1.309580I
a = 1.042210 + 0.076280I
b = 0.988623 − 0.033998I
0.67345 − 6.50937I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.582815 + 0.223681I
a = −0.920612 − 0.215948I
b = −0.239613 + 1.177980I
−1.11989 − 3.34116I 0
u = 0.582815 − 0.223681I
a = −0.920612 + 0.215948I
b = −0.239613 − 1.177980I
−1.11989 + 3.34116I 0
u = −0.246611 + 1.356420I
a = 0.385584 + 1.135380I
b = −0.116625 + 0.594161I
1.97184 + 5.63065I 0
u = −0.246611 − 1.356420I
a = 0.385584 − 1.135380I
b = −0.116625 − 0.594161I
1.97184 − 5.63065I 0
u = 0.666562 + 1.212220I
a = 0.953218 + 0.568200I
b = 0.516916 − 0.935423I
6.89732 − 1.99617I 0
u = 0.666562 − 1.212220I
a = 0.953218 − 0.568200I
b = 0.516916 + 0.935423I
6.89732 + 1.99617I 0
u = −1.318670 + 0.446959I
a = −0.054259 + 0.363498I
b = 0.387689 − 1.019090I
−6.27448 − 4.79291I 0
u = −1.318670 − 0.446959I
a = −0.054259 − 0.363498I
b = 0.387689 + 1.019090I
−6.27448 + 4.79291I 0
u = 0.777759 + 1.168700I
a = −0.861089 − 0.628995I
b = −0.356819 + 0.999999I
2.97089 − 5.41302I 0
u = 0.777759 − 1.168700I
a = −0.861089 + 0.628995I
b = −0.356819 − 0.999999I
2.97089 + 5.41302I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.390120 + 0.210059I
a = −0.036535 + 0.297951I
b = 0.267493 − 0.696940I
−5.00338 + 1.79716I 0
u = −1.390120 − 0.210059I
a = −0.036535 − 0.297951I
b = 0.267493 + 0.696940I
−5.00338 − 1.79716I 0
u = 0.576758 + 1.285830I
a = −0.998102 − 0.463798I
b = −0.673268 + 0.941963I
2.88329 + 1.50919I 0
u = 0.576758 − 1.285830I
a = −0.998102 + 0.463798I
b = −0.673268 − 0.941963I
2.88329 − 1.50919I 0
u = −0.45013 + 1.34922I
a = 1.131640 + 0.165026I
b = 0.682783 + 1.014900I
−0.39658 + 4.48309I 0
u = −0.45013 − 1.34922I
a = 1.131640 − 0.165026I
b = 0.682783 − 1.014900I
−0.39658 − 4.48309I 0
u = 0.50896 + 1.32969I
a = −1.55941 + 0.19995I
b = −0.659551 + 1.201960I
3.85059 − 9.04957I 0
u = 0.50896 − 1.32969I
a = −1.55941 − 0.19995I
b = −0.659551 − 1.201960I
3.85059 + 9.04957I 0
u = 0.58471 + 1.34056I
a = 1.50888 − 0.06372I
b = 0.72372 − 1.26671I
6.0642 − 14.0681I 0
u = 0.58471 − 1.34056I
a = 1.50888 + 0.06372I
b = 0.72372 + 1.26671I
6.0642 + 14.0681I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.63416 + 1.32634I
a = −1.50810 − 0.02469I
b = −0.74389 + 1.32454I
0.7740 − 18.5422I 0
u = 0.63416 − 1.32634I
a = −1.50810 + 0.02469I
b = −0.74389 − 1.32454I
0.7740 + 18.5422I 0
u = 0.502535 + 0.156954I
a = −0.515389 + 0.527646I
b = 0.755712 + 0.145258I
−3.26948 − 0.11627I 0
u = 0.502535 − 0.156954I
a = −0.515389 − 0.527646I
b = 0.755712 − 0.145258I
−3.26948 + 0.11627I 0
u = −0.62510 + 1.34114I
a = −1.185310 + 0.022749I
b = −0.578983 − 1.192310I
1.86885 + 8.06224I 0
u = −0.62510 − 1.34114I
a = −1.185310 − 0.022749I
b = −0.578983 + 1.192310I
1.86885 − 8.06224I 0
u = −0.69366 + 1.33451I
a = 1.190500 − 0.099997I
b = 0.548531 + 1.274220I
−3.14054 + 11.88380I 0
u = −0.69366 − 1.33451I
a = 1.190500 + 0.099997I
b = 0.548531 − 1.274220I
−3.14054 − 11.88380I 0
u = 0.50877 + 1.43094I
a = −0.193554 − 0.423536I
b = −0.388233 − 0.704916I
3.90743 − 2.25656I 0
u = 0.50877 − 1.43094I
a = −0.193554 + 0.423536I
b = −0.388233 + 0.704916I
3.90743 + 2.25656I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.480083 + 0.013636I
a = −1.365300 + 0.151956I
b = −0.663750 − 0.006370I
2.52359 − 0.00082I 3.29186 + 0.I
u = 0.480083 − 0.013636I
a = −1.365300 − 0.151956I
b = −0.663750 + 0.006370I
2.52359 + 0.00082I 3.29186 + 0.I
u = 0.35636 + 1.50928I
a = 0.333478 + 0.402454I
b = 0.506094 + 0.686857I
7.67386 + 2.19286I 0
u = 0.35636 − 1.50928I
a = 0.333478 − 0.402454I
b = 0.506094 − 0.686857I
7.67386 − 2.19286I 0
u = 0.21307 + 1.55318I
a = −0.464465 − 0.372127I
b = −0.619283 − 0.694054I
3.60287 + 6.55929I 0
u = 0.21307 − 1.55318I
a = −0.464465 + 0.372127I
b = −0.619283 + 0.694054I
3.60287 − 6.55929I 0
u = −0.150462 + 0.345676I
a = 0.820513 − 0.930269I
b = −0.072329 − 0.354993I
0.038578 + 0.880167I 0.95764 − 7.56234I
u = −0.150462 − 0.345676I
a = 0.820513 + 0.930269I
b = −0.072329 + 0.354993I
0.038578 − 0.880167I 0.95764 + 7.56234I
17
II. I
u
2
= h−91u
29
− 497u
28
+ · · · + b + 50, −70u
29
− 382u
28
+ · · · + a +
55, u
30
+ 6u
29
+ · · · + 6u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
10
=
70u
29
+ 382u
28
+ ··· − 155u − 55
91u
29
+ 497u
28
+ ··· − 73u − 50
a
11
=
23u
29
+ 142u
28
+ ··· + 88u + 8
127u
29
+ 695u
28
+ ··· − 111u − 71
a
3
=
7u
29
+ 46u
28
+ ··· + 83u + 10
−u
28
− 6u
27
+ ··· − 6u − 2
a
9
=
−21u
29
− 115u
28
+ ··· − 82u − 5
91u
29
+ 497u
28
+ ··· − 73u − 50
a
6
=
−9u
29
− 50u
28
+ ··· + 14u + 12
u
27
+ 5u
26
+ ··· + 21u + 6
a
8
=
6u
29
+ 62u
28
+ ··· + 292u + 49
96u
29
+ 574u
28
+ ··· + 544u + 63
a
12
=
66u
29
+ 377u
28
+ ··· + 297u + 24
6u
29
+ 27u
28
+ ··· − 10u − 15
a
7
=
7u
29
+ 6u
28
+ ··· − 378u − 70
−25u
29
− 175u
28
+ ··· − 577u − 103
(ii) Obstruction class = 1
(iii) Cusp Shapes = −89u
29
− 478u
28
− 1856u
27
− 5566u
26
− 13825u
25
− 30077u
24
−
57891u
23
−100858u
22
−160626u
21
−235206u
20
−319830u
19
−404362u
18
−477852u
17
−
528974u
16
−547958u
15
−532250u
14
−482550u
13
−407418u
12
−319239u
11
−229672u
10
−
151087u
9
−89184u
8
−46261u
7
−20641u
6
−7161u
5
−1616u
4
+ 84u
3
+ 330u
2
+ 135u + 46
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 6u
29
+ ··· − 6u + 1
c
2
u
30
− 9u
28
+ ··· − u + 1
c
3
u
30
+ 8u
27
+ ··· + u + 1
c
4
u
30
+ 6u
29
+ ··· + 6u + 1
c
5
u
30
− 2u
29
+ ··· + 13u
2
+ 1
c
6
, c
7
u
30
− 15u
28
+ ··· − 4u + 1
c
8
u
30
− 9u
28
+ ··· + u + 1
c
9
u
30
+ 2u
29
+ ··· + 13u
2
+ 1
c
10
u
30
− 4u
29
+ ··· − 8u
2
+ 1
c
11
u
30
− 15u
28
+ ··· + 4u + 1
c
12
u
30
+ 5u
28
+ ··· + 4u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
30
+ 14y
29
+ ··· + 18y + 1
c
2
, c
8
y
30
− 18y
29
+ ··· − 15y + 1
c
3
y
30
− 32y
27
+ ··· + 27y + 1
c
5
, c
9
y
30
+ 24y
29
+ ··· + 26y + 1
c
6
, c
7
, c
11
y
30
− 30y
29
+ ··· + 12y + 1
c
10
y
30
− 6y
29
+ ··· − 16y + 1
c
12
y
30
+ 10y
29
+ ··· + 8y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.378258 + 0.883373I
a = 1.95966 + 1.13437I
b = 0.320797 − 0.708719I
4.47639 − 3.54899I 1.44810 + 9.20793I
u = 0.378258 − 0.883373I
a = 1.95966 − 1.13437I
b = 0.320797 + 0.708719I
4.47639 + 3.54899I 1.44810 − 9.20793I
u = −1.025390 + 0.192437I
a = 0.312559 − 0.328200I
b = −0.187470 + 0.956226I
−2.12848 − 0.76173I −1.90714 − 0.73496I
u = −1.025390 − 0.192437I
a = 0.312559 + 0.328200I
b = −0.187470 − 0.956226I
−2.12848 + 0.76173I −1.90714 + 0.73496I
u = 0.684928 + 0.810211I
a = −0.70485 − 1.28589I
b = −0.392226 + 0.482949I
2.24688 − 1.53568I 3.00308 + 5.38194I
u = 0.684928 − 0.810211I
a = −0.70485 + 1.28589I
b = −0.392226 − 0.482949I
2.24688 + 1.53568I 3.00308 − 5.38194I
u = −0.339986 + 1.009810I
a = 2.01244 + 0.31701I
b = 0.71084 + 1.34611I
−4.76836 + 6.54683I 1.93977 − 7.54432I
u = −0.339986 − 1.009810I
a = 2.01244 − 0.31701I
b = 0.71084 − 1.34611I
−4.76836 − 6.54683I 1.93977 + 7.54432I
u = −0.846739 + 0.194866I
a = −0.641699 + 0.639981I
b = 0.224761 − 1.146510I
−6.98574 − 3.64810I −7.08519 + 2.49973I
u = −0.846739 − 0.194866I
a = −0.641699 − 0.639981I
b = 0.224761 + 1.146510I
−6.98574 + 3.64810I −7.08519 − 2.49973I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.380248 + 1.108220I
a = −1.57363 − 0.28723I
b = −0.805200 − 0.974065I
1.13084 + 4.50277I 2.70462 − 6.00137I
u = −0.380248 − 1.108220I
a = −1.57363 + 0.28723I
b = −0.805200 + 0.974065I
1.13084 − 4.50277I 2.70462 + 6.00137I
u = −0.485184 + 1.115980I
a = 1.329940 − 0.107632I
b = 1.051990 + 0.741038I
−2.22066 + 3.44269I −5.03899 − 5.12646I
u = −0.485184 − 1.115980I
a = 1.329940 + 0.107632I
b = 1.051990 − 0.741038I
−2.22066 − 3.44269I −5.03899 + 5.12646I
u = 0.230432 + 0.713808I
a = −2.66758 − 1.73121I
b = −0.463737 + 0.900862I
−1.37207 − 7.19043I −0.94999 + 7.77330I
u = 0.230432 − 0.713808I
a = −2.66758 + 1.73121I
b = −0.463737 − 0.900862I
−1.37207 + 7.19043I −0.94999 − 7.77330I
u = −0.231738 + 0.705276I
a = −0.763634 − 1.064930I
b = 0.31971 − 1.61241I
−5.98302 − 3.79538I −4.56146 + 5.07261I
u = −0.231738 − 0.705276I
a = −0.763634 + 1.064930I
b = 0.31971 + 1.61241I
−5.98302 + 3.79538I −4.56146 − 5.07261I
u = −1.275900 + 0.259324I
a = −0.155221 + 0.082102I
b = 0.188351 − 0.731444I
−5.41418 + 1.87870I −14.01944 + 0.I
u = −1.275900 − 0.259324I
a = −0.155221 − 0.082102I
b = 0.188351 + 0.731444I
−5.41418 − 1.87870I −14.01944 + 0.I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.140831 + 1.297010I
a = −0.90075 + 1.18730I
b = 0.064857 + 0.660110I
6.36769 + 1.15674I 5.85426 − 4.29393I
u = 0.140831 − 1.297010I
a = −0.90075 − 1.18730I
b = 0.064857 − 0.660110I
6.36769 − 1.15674I 5.85426 + 4.29393I
u = −0.147099 + 0.663454I
a = −0.295957 + 1.076260I
b = −0.39730 + 1.46494I
−0.91352 − 1.91053I −4.53131 − 0.55207I
u = −0.147099 − 0.663454I
a = −0.295957 − 1.076260I
b = −0.39730 − 1.46494I
−0.91352 + 1.91053I −4.53131 + 0.55207I
u = 0.527748 + 1.219920I
a = 1.009070 + 0.156319I
b = 0.144065 − 0.526205I
3.76825 − 3.71539I 0
u = 0.527748 − 1.219920I
a = 1.009070 − 0.156319I
b = 0.144065 + 0.526205I
3.76825 + 3.71539I 0
u = −0.128088 + 1.385300I
a = −0.302692 − 1.047710I
b = −0.298412 − 0.635721I
2.00202 + 6.41708I 0
u = −0.128088 − 1.385300I
a = −0.302692 + 1.047710I
b = −0.298412 + 0.635721I
2.00202 − 6.41708I 0
u = −0.101822 + 0.590546I
a = 1.38234 − 1.81774I
b = 0.51899 − 1.41882I
−5.01044 − 0.32624I −6.82891 + 0.59322I
u = −0.101822 − 0.590546I
a = 1.38234 + 1.81774I
b = 0.51899 + 1.41882I
−5.01044 + 0.32624I −6.82891 − 0.59322I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 6u
29
+ ··· − 6u + 1)(u
128
− 5u
127
+ ··· − 37733u + 2993)
c
2
(u
30
− 9u
28
+ ··· − u + 1)(u
128
− u
127
+ ··· − 2402u + 1871)
c
3
(u
30
+ 8u
27
+ ··· + u + 1)(u
128
+ u
127
+ ··· + 84348u + 15303)
c
4
(u
30
+ 6u
29
+ ··· + 6u + 1)(u
128
− 5u
127
+ ··· − 37733u + 2993)
c
5
(u
30
− 2u
29
+ ··· + 13u
2
+ 1)(u
128
− 3u
127
+ ··· − 955u + 179)
c
6
, c
7
(u
30
− 15u
28
+ ··· − 4u + 1)(u
128
− u
127
+ ··· − 937u + 143)
c
8
(u
30
− 9u
28
+ ··· + u + 1)(u
128
− u
127
+ ··· − 2402u + 1871)
c
9
(u
30
+ 2u
29
+ ··· + 13u
2
+ 1)(u
128
− 3u
127
+ ··· − 955u + 179)
c
10
(u
30
− 4u
29
+ ··· − 8u
2
+ 1)
· (u
128
− 3u
127
+ ··· − 39993003u + 7355933)
c
11
(u
30
− 15u
28
+ ··· + 4u + 1)(u
128
− u
127
+ ··· − 937u + 143)
c
12
(u
30
+ 5u
28
+ ··· + 4u + 1)
· (u
128
+ 3u
127
+ ··· − 26436489u + 2658513)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
30
+ 14y
29
+ ··· + 18y + 1)
· (y
128
+ 75y
127
+ ··· + 244890043y + 8958049)
c
2
, c
8
(y
30
− 18y
29
+ ··· − 15y + 1)
· (y
128
− 81y
127
+ ··· − 72261202y + 3500641)
c
3
(y
30
− 32y
27
+ ··· + 27y + 1)
· (y
128
− 19y
127
+ ··· − 4223297496y + 234181809)
c
5
, c
9
(y
30
+ 24y
29
+ ··· + 26y + 1)
· (y
128
+ 73y
127
+ ··· + 2549835y + 32041)
c
6
, c
7
, c
11
(y
30
− 30y
29
+ ··· + 12y + 1)
· (y
128
− 113y
127
+ ··· + 182233y + 20449)
c
10
(y
30
− 6y
29
+ ··· − 16y + 1)
· (y
128
− 45y
127
+ ··· − 1476176757846483y + 54109750300489)
c
12
(y
30
+ 10y
29
+ ··· + 8y + 1)
· (y
128
+ 51y
127
+ ··· − 67685477032551y + 7067691371169)
25
