12a
0349
(K12a
0349
)
A knot diagram
1
Linearized knot diagam
3 6 9 7 11 2 10 1 4 12 5 8
Solving Sequence
4,9
10
1,3
2 8 7 5 6 12 11
c
9
c
3
c
1
c
8
c
7
c
4
c
6
c
12
c
11
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.25801 × 10
614
u
135
− 1.28978 × 10
614
u
134
+ ··· + 2.94699 × 10
617
b − 2.64268 × 10
619
,
4.49698 × 10
619
u
135
+ 1.54064 × 10
619
u
134
+ ··· + 1.54007 × 10
622
a + 2.15563 × 10
624
,
u
136
− u
135
+ ··· + 41455u − 52259i
I
u
2
= h−787618557348u
33
+ 143414944613u
32
+ ··· + 671837590333b − 713718628306,
327280736279u
33
− 33895731689u
32
+ ··· + 51679814641a + 286909653412,
u
34
− 11u
32
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 170 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−7.26 × 10
614
u
135
− 1.29 × 10
614
u
134
+ · · · + 2.95 × 10
617
b − 2.64 ×
10
619
, 4.50 × 10
619
u
135
+ 1.54 × 10
619
u
134
+ · · · + 1.54 × 10
622
a + 2.16 ×
10
624
, u
136
− u
135
+ · · · + 41455u − 52259i
(i) Arc colorings
a
4
=
0
u
a
9
=
1
0
a
10
=
1
−u
2
a
1
=
−0.00291999u
135
− 0.00100037u
134
+ ··· + 101.594u − 139.970
0.00246285u
135
+ 0.000437658u
134
+ ··· − 35.2110u + 89.6737
a
3
=
−u
u
a
2
=
−0.000710686u
135
+ 0.000924719u
134
+ ··· + 83.2059u − 86.6739
0.000253552u
135
− 0.00148743u
134
+ ··· − 16.8227u + 36.3776
a
8
=
0.00106579u
135
+ 0.00182210u
134
+ ··· − 77.8349u − 10.5694
0.000388422u
135
− 0.00145823u
134
+ ··· + 24.4776u + 16.6686
a
7
=
−0.00366961u
135
+ 0.000243350u
134
+ ··· − 38.2923u − 178.156
0.00811285u
135
+ 0.000328503u
134
+ ··· + 10.1920u + 346.640
a
5
=
0.00525780u
135
+ 0.00205419u
134
+ ··· + 58.3178u + 129.963
−0.00963619u
135
− 0.00170547u
134
+ ··· + 19.6587u − 336.226
a
6
=
−0.00204050u
135
− 0.000687504u
134
+ ··· − 147.377u − 146.621
0.00122108u
135
− 0.000189226u
134
+ ··· + 65.7879u + 82.7173
a
12
=
0.000111542u
135
+ 0.000571574u
134
+ ··· + 200.475u − 84.6928
0.000506268u
135
+ 0.000750710u
134
+ ··· − 31.0308u + 33.3645
a
11
=
0.00578544u
135
− 0.000673357u
134
+ ··· + 34.2870u + 164.152
−0.00420817u
135
+ 0.00119197u
134
+ ··· − 47.0171u − 211.840
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0131250u
135
+ 0.00168542u
134
+ ··· − 304.283u + 472.168
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
136
+ 48u
135
+ ··· − 102u + 1
c
2
, c
6
u
136
− 2u
135
+ ··· − 16u + 1
c
3
, c
9
u
136
+ u
135
+ ··· − 41455u − 52259
c
4
u
136
− 2u
135
+ ··· − 22083596u + 1331611
c
5
, c
11
u
136
+ u
135
+ ··· − 159u − 29
c
7
u
136
+ 17u
135
+ ··· + 2235391u − 2280599
c
8
, c
12
u
136
− 3u
135
+ ··· − 39789u − 1637
c
10
u
136
+ 57u
135
+ ··· + 15435u + 841
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
136
+ 96y
135
+ ··· − 15098y + 1
c
2
, c
6
y
136
+ 48y
135
+ ··· − 102y + 1
c
3
, c
9
y
136
− 105y
135
+ ··· + 83487901151y + 2731003081
c
4
y
136
+ 42y
135
+ ··· − 67453559308704y + 1773187855321
c
5
, c
11
y
136
+ 57y
135
+ ··· + 15435y + 841
c
7
y
136
− 51y
135
+ ··· − 522376161599385y + 5201131798801
c
8
, c
12
y
136
− 125y
135
+ ··· − 1327455299y + 2679769
c
10
y
136
+ 61y
135
+ ··· − 238478069y + 707281
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498799 + 0.866094I
a = −0.436060 − 0.558485I
b = 0.662135 − 0.538841I
−4.50303 − 4.74190I 0
u = −0.498799 − 0.866094I
a = −0.436060 + 0.558485I
b = 0.662135 + 0.538841I
−4.50303 + 4.74190I 0
u = 0.826970 + 0.600798I
a = 0.168212 − 0.352238I
b = 0.0463506 − 0.0222904I
−1.75800 + 2.36640I 0
u = 0.826970 − 0.600798I
a = 0.168212 + 0.352238I
b = 0.0463506 + 0.0222904I
−1.75800 − 2.36640I 0
u = 1.018250 + 0.368549I
a = 0.770491 + 0.267374I
b = 0.060181 − 0.841102I
−0.444004 + 1.297180I 0
u = 1.018250 − 0.368549I
a = 0.770491 − 0.267374I
b = 0.060181 + 0.841102I
−0.444004 − 1.297180I 0
u = 0.383338 + 1.045300I
a = −0.906140 − 0.397448I
b = 0.769089 − 0.302815I
−4.49772 + 1.15309I 0
u = 0.383338 − 1.045300I
a = −0.906140 + 0.397448I
b = 0.769089 + 0.302815I
−4.49772 − 1.15309I 0
u = 1.085650 + 0.250615I
a = 1.87655 − 0.66467I
b = −1.178100 + 0.493630I
3.84092 − 3.61912I 0
u = 1.085650 − 0.250615I
a = 1.87655 + 0.66467I
b = −1.178100 − 0.493630I
3.84092 + 3.61912I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.128210 + 0.248872I
a = −2.06384 − 0.62458I
b = 1.324680 + 0.280203I
4.88370 − 2.14023I 0
u = −1.128210 − 0.248872I
a = −2.06384 + 0.62458I
b = 1.324680 − 0.280203I
4.88370 + 2.14023I 0
u = 0.741762 + 0.370488I
a = −0.782095 − 0.542662I
b = 0.771346 + 0.548837I
2.97325 + 6.07187I 0
u = 0.741762 − 0.370488I
a = −0.782095 + 0.542662I
b = 0.771346 − 0.548837I
2.97325 − 6.07187I 0
u = −1.074630 + 0.468085I
a = −0.630806 + 0.475592I
b = −0.305784 − 0.924443I
−1.15651 − 5.70825I 0
u = −1.074630 − 0.468085I
a = −0.630806 − 0.475592I
b = −0.305784 + 0.924443I
−1.15651 + 5.70825I 0
u = −0.012027 + 0.819998I
a = −1.258350 − 0.607236I
b = 0.405550 − 0.387254I
−4.72424 + 1.17881I 0
u = −0.012027 − 0.819998I
a = −1.258350 + 0.607236I
b = 0.405550 + 0.387254I
−4.72424 − 1.17881I 0
u = 1.191520 + 0.099074I
a = 0.168512 − 0.219608I
b = 0.147167 + 1.002440I
−0.123641 + 0.387688I 0
u = 1.191520 − 0.099074I
a = 0.168512 + 0.219608I
b = 0.147167 − 1.002440I
−0.123641 − 0.387688I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.010380 + 0.642743I
a = −0.109222 + 0.383626I
b = −0.629395 − 0.508709I
−2.95195 − 0.68534I 0
u = −1.010380 − 0.642743I
a = −0.109222 − 0.383626I
b = −0.629395 + 0.508709I
−2.95195 + 0.68534I 0
u = −1.186750 + 0.252223I
a = −2.47939 − 0.68192I
b = 1.287190 − 0.242120I
3.47467 − 4.90283I 0
u = −1.186750 − 0.252223I
a = −2.47939 + 0.68192I
b = 1.287190 + 0.242120I
3.47467 + 4.90283I 0
u = 0.343104 + 1.167900I
a = −0.470968 + 0.106725I
b = 1.278080 + 0.244005I
4.88186 + 6.91613I 0
u = 0.343104 − 1.167900I
a = −0.470968 − 0.106725I
b = 1.278080 − 0.244005I
4.88186 − 6.91613I 0
u = 1.191020 + 0.251853I
a = 2.75012 − 0.63705I
b = −1.216870 − 0.328350I
1.74851 + 9.99055I 0
u = 1.191020 − 0.251853I
a = 2.75012 + 0.63705I
b = −1.216870 + 0.328350I
1.74851 − 9.99055I 0
u = −0.690025 + 0.359037I
a = 0.868637 − 0.357805I
b = −0.885342 + 0.367725I
3.63008 − 0.51176I 0
u = −0.690025 − 0.359037I
a = 0.868637 + 0.357805I
b = −0.885342 − 0.367725I
3.63008 + 0.51176I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.191760 + 0.275531I
a = 2.35780 − 0.27157I
b = −1.066520 − 0.108097I
−1.69317 + 2.87992I 0
u = 1.191760 − 0.275531I
a = 2.35780 + 0.27157I
b = −1.066520 + 0.108097I
−1.69317 − 2.87992I 0
u = 1.212320 + 0.177160I
a = −0.453222 − 0.565868I
b = 0.49190 + 1.36716I
4.29649 + 6.33887I 0
u = 1.212320 − 0.177160I
a = −0.453222 + 0.565868I
b = 0.49190 − 1.36716I
4.29649 − 6.33887I 0
u = −1.203040 + 0.251480I
a = −1.96081 − 1.03235I
b = 1.37829 − 0.38252I
4.21947 − 4.92988I 0
u = −1.203040 − 0.251480I
a = −1.96081 + 1.03235I
b = 1.37829 + 0.38252I
4.21947 + 4.92988I 0
u = −1.199800 + 0.276918I
a = −1.46388 − 1.80780I
b = 1.273200 − 0.202497I
6.65926 − 8.40014I 0
u = −1.199800 − 0.276918I
a = −1.46388 + 1.80780I
b = 1.273200 + 0.202497I
6.65926 + 8.40014I 0
u = −1.190680 + 0.337098I
a = 0.609368 − 0.544612I
b = −0.169824 − 0.098711I
4.49958 + 0.42314I 0
u = −1.190680 − 0.337098I
a = 0.609368 + 0.544612I
b = −0.169824 + 0.098711I
4.49958 − 0.42314I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.205100 + 0.283207I
a = 1.13403 − 1.75333I
b = −1.169630 − 0.162158I
6.86769 + 3.46831I 0
u = 1.205100 − 0.283207I
a = 1.13403 + 1.75333I
b = −1.169630 + 0.162158I
6.86769 − 3.46831I 0
u = 0.576409 + 0.493925I
a = 0.710298 − 0.510172I
b = −0.238780 − 0.524795I
−1.61585 + 1.75968I 0. − 5.22601I
u = 0.576409 − 0.493925I
a = 0.710298 + 0.510172I
b = −0.238780 + 0.524795I
−1.61585 − 1.75968I 0. + 5.22601I
u = −1.233510 + 0.161334I
a = 0.543320 − 0.322615I
b = −0.614038 + 1.201870I
5.45984 − 0.99127I 0
u = −1.233510 − 0.161334I
a = 0.543320 + 0.322615I
b = −0.614038 − 1.201870I
5.45984 + 0.99127I 0
u = −1.230320 + 0.209835I
a = −1.98825 − 0.27899I
b = 1.79834 − 0.75347I
8.07893 − 2.72547I 0
u = −1.230320 − 0.209835I
a = −1.98825 + 0.27899I
b = 1.79834 + 0.75347I
8.07893 + 2.72547I 0
u = 1.244130 + 0.214055I
a = 1.85177 − 0.15065I
b = −1.71200 − 0.94089I
8.00044 + 8.02794I 0
u = 1.244130 − 0.214055I
a = 1.85177 + 0.15065I
b = −1.71200 + 0.94089I
8.00044 − 8.02794I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.260750 + 0.101482I
a = 0.087206 + 0.606900I
b = −0.406888 + 0.534008I
4.71068 + 1.16973I 0
u = −1.260750 − 0.101482I
a = 0.087206 − 0.606900I
b = −0.406888 − 0.534008I
4.71068 − 1.16973I 0
u = −0.347679 + 0.646470I
a = 0.313440 − 0.434009I
b = −1.092720 − 0.365009I
0.83096 + 1.63119I 6.00000 + 0.I
u = −0.347679 − 0.646470I
a = 0.313440 + 0.434009I
b = −1.092720 + 0.365009I
0.83096 − 1.63119I 6.00000 + 0.I
u = 0.278257 + 0.678305I
a = −0.301344 − 0.828814I
b = 1.123340 − 0.565730I
−1.05120 − 6.66868I 2.28364 + 5.13023I
u = 0.278257 − 0.678305I
a = −0.301344 + 0.828814I
b = 1.123340 + 0.565730I
−1.05120 + 6.66868I 2.28364 − 5.13023I
u = 1.228330 + 0.329481I
a = −0.217156 − 0.672459I
b = −0.156344 − 0.264716I
5.27413 + 4.87779I 0
u = 1.228330 − 0.329481I
a = −0.217156 + 0.672459I
b = −0.156344 + 0.264716I
5.27413 − 4.87779I 0
u = 1.245780 + 0.271487I
a = 0.992426 − 0.577867I
b = −0.955595 − 0.707427I
4.68025 + 5.68542I 0
u = 1.245780 − 0.271487I
a = 0.992426 + 0.577867I
b = −0.955595 + 0.707427I
4.68025 − 5.68542I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.281220 + 0.053871I
a = 2.38479 + 1.15699I
b = −1.266550 − 0.012230I
8.86520 + 4.47210I 0
u = −1.281220 − 0.053871I
a = 2.38479 − 1.15699I
b = −1.266550 + 0.012230I
8.86520 − 4.47210I 0
u = 1.279780 + 0.092109I
a = 0.425482 + 0.809748I
b = 0.149982 + 0.361418I
3.02656 − 6.18138I 0
u = 1.279780 − 0.092109I
a = 0.425482 − 0.809748I
b = 0.149982 − 0.361418I
3.02656 + 6.18138I 0
u = 1.287890 + 0.038683I
a = −2.58929 + 0.80103I
b = 1.337830 − 0.002434I
9.33412 + 0.55888I 0
u = 1.287890 − 0.038683I
a = −2.58929 − 0.80103I
b = 1.337830 + 0.002434I
9.33412 − 0.55888I 0
u = −1.304960 + 0.105080I
a = 1.42846 + 0.60611I
b = −1.199850 + 0.396405I
5.63228 + 0.61622I 0
u = −1.304960 − 0.105080I
a = 1.42846 − 0.60611I
b = −1.199850 − 0.396405I
5.63228 − 0.61622I 0
u = −0.144459 + 1.313610I
a = −0.374310 − 0.172525I
b = 1.40164 − 0.33249I
3.90971 − 12.53800I 0
u = −0.144459 − 1.313610I
a = −0.374310 + 0.172525I
b = 1.40164 + 0.33249I
3.90971 + 12.53800I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.313910 + 1.287830I
a = 0.472119 + 0.072829I
b = −1.315130 + 0.124264I
6.33593 − 0.51455I 0
u = −0.313910 − 1.287830I
a = 0.472119 − 0.072829I
b = −1.315130 − 0.124264I
6.33593 + 0.51455I 0
u = 0.386398 + 0.547212I
a = −0.620616 − 0.119450I
b = 0.501871 + 0.419597I
−2.12050 + 1.59540I 3.74902 − 4.65992I
u = 0.386398 − 0.547212I
a = −0.620616 + 0.119450I
b = 0.501871 − 0.419597I
−2.12050 − 1.59540I 3.74902 + 4.65992I
u = 1.303990 + 0.281627I
a = 0.550886 + 0.246181I
b = −0.438250 − 1.341700I
4.67894 + 6.58435I 0
u = 1.303990 − 0.281627I
a = 0.550886 − 0.246181I
b = −0.438250 + 1.341700I
4.67894 − 6.58435I 0
u = −0.199724 + 0.633004I
a = −0.331527 − 0.916965I
b = 0.254410 − 0.849898I
−3.65766 + 1.54547I −0.60215 − 1.59690I
u = −0.199724 − 0.633004I
a = −0.331527 + 0.916965I
b = 0.254410 + 0.849898I
−3.65766 − 1.54547I −0.60215 + 1.59690I
u = −1.324650 + 0.279846I
a = −0.445901 + 0.495926I
b = 0.26082 − 1.57502I
3.27185 − 11.77960I 0
u = −1.324650 − 0.279846I
a = −0.445901 − 0.495926I
b = 0.26082 + 1.57502I
3.27185 + 11.77960I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.173911 + 0.614136I
a = −1.049210 − 0.418091I
b = −1.395700 + 0.124216I
3.55266 + 5.08054I 7.10040 − 5.21545I
u = −0.173911 − 0.614136I
a = −1.049210 + 0.418091I
b = −1.395700 − 0.124216I
3.55266 − 5.08054I 7.10040 + 5.21545I
u = −1.355170 + 0.164256I
a = 1.70136 + 0.07244I
b = −1.84388 + 0.74798I
8.54071 − 2.54613I 0
u = −1.355170 − 0.164256I
a = 1.70136 − 0.07244I
b = −1.84388 − 0.74798I
8.54071 + 2.54613I 0
u = −1.323940 + 0.336627I
a = 0.055473 + 0.207985I
b = −0.159194 − 1.089460I
−0.44519 − 5.21541I 0
u = −1.323940 − 0.336627I
a = 0.055473 − 0.207985I
b = −0.159194 + 1.089460I
−0.44519 + 5.21541I 0
u = 0.153358 + 0.612586I
a = 1.143770 − 0.331122I
b = 1.280970 + 0.236255I
3.68147 − 0.12296I 7.65398 − 1.76778I
u = 0.153358 − 0.612586I
a = 1.143770 + 0.331122I
b = 1.280970 − 0.236255I
3.68147 + 0.12296I 7.65398 + 1.76778I
u = 1.38341
a = −1.90486
b = 1.53700
7.32589 0
u = 1.374800 + 0.162105I
a = −1.77587 + 0.14913I
b = 1.98159 + 0.57441I
8.58778 − 2.40060I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.374800 − 0.162105I
a = −1.77587 − 0.14913I
b = 1.98159 − 0.57441I
8.58778 + 2.40060I 0
u = −0.241389 + 0.564582I
a = −0.445724 − 0.186832I
b = −1.266660 − 0.216828I
1.26446 + 1.87725I 1.72455 + 1.37285I
u = −0.241389 − 0.564582I
a = −0.445724 + 0.186832I
b = −1.266660 + 0.216828I
1.26446 − 1.87725I 1.72455 − 1.37285I
u = 0.082523 + 1.386240I
a = 0.418165 − 0.123647I
b = −1.386040 − 0.226009I
5.73615 + 6.10223I 0
u = 0.082523 − 1.386240I
a = 0.418165 + 0.123647I
b = −1.386040 + 0.226009I
5.73615 − 6.10223I 0
u = 0.034917 + 0.604044I
a = −1.80374 − 0.73700I
b = −0.119066 − 0.786436I
−1.06796 + 8.47241I 1.49531 − 7.33951I
u = 0.034917 − 0.604044I
a = −1.80374 + 0.73700I
b = −0.119066 + 0.786436I
−1.06796 − 8.47241I 1.49531 + 7.33951I
u = 0.018886 + 0.595127I
a = 1.70036 − 0.48671I
b = 0.230393 − 0.537414I
0.58538 − 3.27469I 3.78468 + 3.31399I
u = 0.018886 − 0.595127I
a = 1.70036 + 0.48671I
b = 0.230393 + 0.537414I
0.58538 + 3.27469I 3.78468 − 3.31399I
u = 0.053723 + 0.580575I
a = −1.002380 − 0.166228I
b = −0.006400 + 0.689918I
0.94880 − 3.60091I 5.82465 + 2.44388I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.053723 − 0.580575I
a = −1.002380 + 0.166228I
b = −0.006400 − 0.689918I
0.94880 + 3.60091I 5.82465 − 2.44388I
u = 0.020883 + 0.555314I
a = 1.134910 − 0.267332I
b = 0.197309 + 0.501629I
1.80782 − 1.49626I 6.78415 + 3.27323I
u = 0.020883 − 0.555314I
a = 1.134910 + 0.267332I
b = 0.197309 − 0.501629I
1.80782 + 1.49626I 6.78415 − 3.27323I
u = 1.44318 + 0.11936I
a = −1.67995 + 0.26473I
b = 1.82948 + 0.00577I
6.95559 + 0.43919I 0
u = 1.44318 − 0.11936I
a = −1.67995 − 0.26473I
b = 1.82948 − 0.00577I
6.95559 − 0.43919I 0
u = 0.105708 + 0.528582I
a = 1.354380 + 0.096403I
b = 0.873406 − 0.203217I
1.16264 − 2.60619I 1.18482 + 4.75090I
u = 0.105708 − 0.528582I
a = 1.354380 − 0.096403I
b = 0.873406 + 0.203217I
1.16264 + 2.60619I 1.18482 − 4.75090I
u = −0.481978
a = 0.594078
b = −0.416655
0.665217 15.2060
u = −1.47784 + 0.43082I
a = 1.72567 + 0.47967I
b = −1.53814 + 0.45456I
10.6735 − 12.4240I 0
u = −1.47784 − 0.43082I
a = 1.72567 − 0.47967I
b = −1.53814 − 0.45456I
10.6735 + 12.4240I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.55344 + 0.10900I
a = 1.44157 + 0.20125I
b = −1.58035 − 0.24449I
5.45113 + 3.49510I 0
u = −1.55344 − 0.10900I
a = 1.44157 − 0.20125I
b = −1.58035 + 0.24449I
5.45113 − 3.49510I 0
u = 1.49935 + 0.44562I
a = −1.64231 + 0.50746I
b = 1.54072 + 0.38761I
12.21970 + 6.40782I 0
u = 1.49935 − 0.44562I
a = −1.64231 − 0.50746I
b = 1.54072 − 0.38761I
12.21970 − 6.40782I 0
u = 1.48354 + 0.54598I
a = 1.57401 − 0.62192I
b = −1.56652 − 0.56845I
9.0849 + 18.9972I 0
u = 1.48354 − 0.54598I
a = 1.57401 + 0.62192I
b = −1.56652 + 0.56845I
9.0849 − 18.9972I 0
u = −1.49203 + 0.56699I
a = −1.51234 − 0.64668I
b = 1.53994 − 0.48713I
10.8185 − 12.8462I 0
u = −1.49203 − 0.56699I
a = −1.51234 + 0.64668I
b = 1.53994 + 0.48713I
10.8185 + 12.8462I 0
u = 0.115668 + 0.372722I
a = 1.31565 + 1.61399I
b = 1.277090 − 0.459503I
4.54366 − 5.65131I 8.94973 + 5.84127I
u = 0.115668 − 0.372722I
a = 1.31565 − 1.61399I
b = 1.277090 + 0.459503I
4.54366 + 5.65131I 8.94973 − 5.84127I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.167729 + 0.348800I
a = −0.60238 + 1.71950I
b = −1.327230 − 0.356336I
4.83185 + 0.41381I 9.83959 + 1.29296I
u = −0.167729 − 0.348800I
a = −0.60238 − 1.71950I
b = −1.327230 + 0.356336I
4.83185 − 0.41381I 9.83959 − 1.29296I
u = −1.58612 + 0.37026I
a = 1.48814 + 0.29935I
b = −1.371910 + 0.315288I
4.88499 − 4.84019I 0
u = −1.58612 − 0.37026I
a = 1.48814 − 0.29935I
b = −1.371910 − 0.315288I
4.88499 + 4.84019I 0
u = −1.52129 + 0.71461I
a = −1.226440 − 0.670369I
b = 1.354320 − 0.209319I
10.12330 − 7.07095I 0
u = −1.52129 − 0.71461I
a = −1.226440 + 0.670369I
b = 1.354320 + 0.209319I
10.12330 + 7.07095I 0
u = 1.58581 + 0.56821I
a = 1.38584 − 0.51723I
b = −1.312760 − 0.455900I
3.33739 + 10.59300I 0
u = 1.58581 − 0.56821I
a = 1.38584 + 0.51723I
b = −1.312760 + 0.455900I
3.33739 − 10.59300I 0
u = 1.47126 + 0.82826I
a = 1.075230 − 0.679854I
b = −1.265390 − 0.096333I
7.96863 + 0.50689I 0
u = 1.47126 − 0.82826I
a = 1.075230 + 0.679854I
b = −1.265390 + 0.096333I
7.96863 − 0.50689I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.62638 + 0.55149I
a = −1.283440 + 0.505916I
b = 1.45751 + 0.15387I
10.86690 + 1.33856I 0
u = 1.62638 − 0.55149I
a = −1.283440 − 0.505916I
b = 1.45751 − 0.15387I
10.86690 − 1.33856I 0
u = −1.64823 + 0.68954I
a = 1.101240 + 0.523659I
b = −1.413370 + 0.044625I
8.35438 + 4.93614I 0
u = −1.64823 − 0.68954I
a = 1.101240 − 0.523659I
b = −1.413370 − 0.044625I
8.35438 − 4.93614I 0
u = 0.13418 + 1.79441I
a = −0.586195 − 0.049213I
b = 1.223930 − 0.084960I
−2.20261 − 2.53104I 0
u = 0.13418 − 1.79441I
a = −0.586195 + 0.049213I
b = 1.223930 + 0.084960I
−2.20261 + 2.53104I 0
18
II. I
u
2
= h−7.88 × 10
11
u
33
+ 1.43 × 10
11
u
32
+ · · · + 6.72 × 10
11
b − 7.14 ×
10
11
, 3.27 × 10
11
u
33
− 3.39 × 10
10
u
32
+ · · · + 5.17 × 10
10
a + 2.87 ×
10
11
, u
34
− 11u
32
+ · · · + 2u + 1i
(i) Arc colorings
a
4
=
0
u
a
9
=
1
0
a
10
=
1
−u
2
a
1
=
−6.33285u
33
+ 0.655880u
32
+ ··· + 8.20715u − 5.55168
1.17233u
33
− 0.213467u
32
+ ··· + 3.51840u + 1.06234
a
3
=
−u
u
a
2
=
−5.07132u
33
+ 0.451750u
32
+ ··· + 3.93145u − 5.10926
−0.0891988u
33
− 0.00933745u
32
+ ··· + 7.79409u + 0.619925
a
8
=
0.729395u
33
− 1.57109u
32
+ ··· + 9.40657u + 9.51047
0.0382059u
33
+ 1.04098u
32
+ ··· − 4.41279u − 1.57109
a
7
=
0.729395u
33
− 2.57109u
32
+ ··· + 11.4066u + 9.51047
0.0382059u
33
+ 2.04098u
32
+ ··· − 6.41279u − 2.57109
a
5
=
5.01406u
33
+ 0.249896u
32
+ ··· − 8.45835u + 0.740135
1.87294u
33
− 0.404136u
32
+ ··· − 2.84572u + 1.90344
a
6
=
1.13585u
33
− 1.54783u
32
+ ··· + 3.48914u + 1.78390
0.694085u
33
− 1.15461u
32
+ ··· + 2.70124u + 3.76176
a
12
=
−4.46974u
33
+ 1.01554u
32
+ ··· − 1.56754u − 3.21373
−1.14138u
33
− 1.25053u
32
+ ··· + 5.27064u + 0.769913
a
11
=
−0.188432u
33
+ 0.711017u
32
+ ··· − 12.8714u − 5.35223
−1.04863u
33
− 1.76781u
32
+ ··· + 7.71225u + 3.02224
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
2535144021258
671837590333
u
33
−
4265588581482
671837590333
u
32
+ ··· +
16708120824221
671837590333
u +
17275443371660
671837590333
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
34
− 15u
33
+ ··· − 15u + 1
c
2
u
34
− u
33
+ ··· − u + 1
c
3
u
34
− 11u
32
+ ··· − 2u + 1
c
4
u
34
− 3u
33
+ ··· + 5u + 1
c
5
u
34
+ 10u
32
+ ··· + 2u + 1
c
6
u
34
+ u
33
+ ··· + u + 1
c
7
u
34
+ 4u
33
+ ··· + 12u + 1
c
8
u
34
− 2u
33
+ ··· − 14u + 1
c
9
u
34
− 11u
32
+ ··· + 2u + 1
c
10
u
34
− 20u
33
+ ··· − 28u + 1
c
11
u
34
+ 10u
32
+ ··· − 2u + 1
c
12
u
34
+ 2u
33
+ ··· + 14u + 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 23y
33
+ ··· + 11y + 1
c
2
, c
6
y
34
+ 15y
33
+ ··· + 15y + 1
c
3
, c
9
y
34
− 22y
33
+ ··· − 16y + 1
c
4
y
34
+ 5y
33
+ ··· + 21y + 1
c
5
, c
11
y
34
+ 20y
33
+ ··· + 28y + 1
c
7
y
34
− 8y
33
+ ··· − 40y + 1
c
8
, c
12
y
34
− 38y
33
+ ··· − 86y + 1
c
10
y
34
+ 4y
33
+ ··· − 64y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.901051 + 0.514309I
a = −0.262160 + 0.279684I
b = −0.153986 − 0.606755I
−2.16375 − 2.02505I −2.39267 + 0.30437I
u = −0.901051 − 0.514309I
a = −0.262160 − 0.279684I
b = −0.153986 + 0.606755I
−2.16375 + 2.02505I −2.39267 − 0.30437I
u = 0.831407 + 0.470509I
a = 0.745619 − 0.717151I
b = 0.133151 + 0.051615I
−3.36578 + 2.02219I 0.08481 − 3.32936I
u = 0.831407 − 0.470509I
a = 0.745619 + 0.717151I
b = 0.133151 − 0.051615I
−3.36578 − 2.02219I 0.08481 + 3.32936I
u = 1.001050 + 0.422311I
a = 1.00090 − 1.02718I
b = −1.318050 − 0.305503I
6.12005 + 1.93758I 10.72796 − 1.04035I
u = 1.001050 − 0.422311I
a = 1.00090 + 1.02718I
b = −1.318050 + 0.305503I
6.12005 − 1.93758I 10.72796 + 1.04035I
u = 0.194072 + 1.094380I
a = −1.125840 − 0.513605I
b = 0.717799 − 0.142412I
−4.28029 + 1.43131I 13.6515 − 10.3289I
u = 0.194072 − 1.094380I
a = −1.125840 + 0.513605I
b = 0.717799 + 0.142412I
−4.28029 − 1.43131I 13.6515 + 10.3289I
u = −1.086190 + 0.298850I
a = −1.19403 − 1.11200I
b = 1.332450 − 0.435101I
6.42161 − 7.11379I 11.25449 + 5.76614I
u = −1.086190 − 0.298850I
a = −1.19403 + 1.11200I
b = 1.332450 + 0.435101I
6.42161 + 7.11379I 11.25449 − 5.76614I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.680198 + 0.357650I
a = −1.36163 + 0.79178I
b = 0.719083 − 0.655685I
2.54587 − 5.51556I 4.27046 + 2.48507I
u = −0.680198 − 0.357650I
a = −1.36163 − 0.79178I
b = 0.719083 + 0.655685I
2.54587 + 5.51556I 4.27046 − 2.48507I
u = −1.223280 + 0.190245I
a = −1.54756 − 0.97220I
b = 1.178460 − 0.571811I
5.15320 − 4.36862I 11.67550 + 0.90519I
u = −1.223280 − 0.190245I
a = −1.54756 + 0.97220I
b = 1.178460 + 0.571811I
5.15320 + 4.36862I 11.67550 − 0.90519I
u = 1.299020 + 0.168024I
a = −1.82835 + 0.57508I
b = 1.66049 + 0.07334I
7.83210 + 0.83769I 13.30597 − 1.15346I
u = 1.299020 − 0.168024I
a = −1.82835 − 0.57508I
b = 1.66049 − 0.07334I
7.83210 − 0.83769I 13.30597 + 1.15346I
u = 0.669788 + 0.163877I
a = 0.71507 − 2.14236I
b = 0.663040 + 0.404836I
0.46705 + 8.25996I 7.57690 − 7.27704I
u = 0.669788 − 0.163877I
a = 0.71507 + 2.14236I
b = 0.663040 − 0.404836I
0.46705 − 8.25996I 7.57690 + 7.27704I
u = −1.292790 + 0.333722I
a = 1.42846 + 0.77075I
b = −1.51181 − 0.01223I
6.91883 + 4.02331I 10.59648 − 4.81859I
u = −1.292790 − 0.333722I
a = 1.42846 − 0.77075I
b = −1.51181 + 0.01223I
6.91883 − 4.02331I 10.59648 + 4.81859I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.541249 + 0.339996I
a = 1.76874 + 0.72750I
b = −0.852299 − 0.452107I
3.31396 − 0.27754I 7.89678 + 2.85778I
u = 0.541249 − 0.339996I
a = 1.76874 − 0.72750I
b = −0.852299 + 0.452107I
3.31396 + 0.27754I 7.89678 − 2.85778I
u = 1.373450 + 0.009961I
a = −1.80030 + 0.03203I
b = 1.68237 + 0.35413I
7.47862 − 1.37013I 12.04365 + 3.85494I
u = 1.373450 − 0.009961I
a = −1.80030 − 0.03203I
b = 1.68237 − 0.35413I
7.47862 + 1.37013I 12.04365 − 3.85494I
u = 1.369690 + 0.172556I
a = 1.53859 − 0.68713I
b = −1.049210 − 0.503815I
3.93328 + 7.99418I 9.34582 − 7.67512I
u = 1.369690 − 0.172556I
a = 1.53859 + 0.68713I
b = −1.049210 + 0.503815I
3.93328 − 7.99418I 9.34582 + 7.67512I
u = −0.506327 + 0.119673I
a = −0.46407 − 2.45760I
b = −0.801950 + 0.256418I
1.90414 − 3.01782I 10.46800 + 2.88141I
u = −0.506327 − 0.119673I
a = −0.46407 + 2.45760I
b = −0.801950 − 0.256418I
1.90414 + 3.01782I 10.46800 − 2.88141I
u = −1.50613 + 0.08872I
a = 1.46451 + 0.08379I
b = −1.45532 − 0.44429I
6.10936 + 3.03212I 12.42604 + 0.I
u = −1.50613 − 0.08872I
a = 1.46451 − 0.08379I
b = −1.45532 + 0.44429I
6.10936 − 3.03212I 12.42604 + 0.I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.181645 + 0.387421I
a = −1.59965 + 0.23831I
b = −1.111140 − 0.124353I
1.88935 + 2.33923I 12.63359 − 3.25124I
u = −0.181645 − 0.387421I
a = −1.59965 − 0.23831I
b = −1.111140 + 0.124353I
1.88935 − 2.33923I 12.63359 + 3.25124I
u = 0.09789 + 1.58502I
a = −0.478309 − 0.085728I
b = 1.166920 − 0.101863I
−2.57453 − 2.43245I 0
u = 0.09789 − 1.58502I
a = −0.478309 + 0.085728I
b = 1.166920 + 0.101863I
−2.57453 + 2.43245I 0
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 15u
33
+ ··· − 15u + 1)(u
136
+ 48u
135
+ ··· − 102u + 1)
c
2
(u
34
− u
33
+ ··· − u + 1)(u
136
− 2u
135
+ ··· − 16u + 1)
c
3
(u
34
− 11u
32
+ ··· − 2u + 1)(u
136
+ u
135
+ ··· − 41455u − 52259)
c
4
(u
34
− 3u
33
+ ··· + 5u + 1)
· (u
136
− 2u
135
+ ··· − 22083596u + 1331611)
c
5
(u
34
+ 10u
32
+ ··· + 2u + 1)(u
136
+ u
135
+ ··· − 159u − 29)
c
6
(u
34
+ u
33
+ ··· + u + 1)(u
136
− 2u
135
+ ··· − 16u + 1)
c
7
(u
34
+ 4u
33
+ ··· + 12u + 1)
· (u
136
+ 17u
135
+ ··· + 2235391u − 2280599)
c
8
(u
34
− 2u
33
+ ··· − 14u + 1)(u
136
− 3u
135
+ ··· − 39789u − 1637)
c
9
(u
34
− 11u
32
+ ··· + 2u + 1)(u
136
+ u
135
+ ··· − 41455u − 52259)
c
10
(u
34
− 20u
33
+ ··· − 28u + 1)(u
136
+ 57u
135
+ ··· + 15435u + 841)
c
11
(u
34
+ 10u
32
+ ··· − 2u + 1)(u
136
+ u
135
+ ··· − 159u − 29)
c
12
(u
34
+ 2u
33
+ ··· + 14u + 1)(u
136
− 3u
135
+ ··· − 39789u − 1637)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ 23y
33
+ ··· + 11y + 1)(y
136
+ 96y
135
+ ··· − 15098y + 1)
c
2
, c
6
(y
34
+ 15y
33
+ ··· + 15y + 1)(y
136
+ 48y
135
+ ··· − 102y + 1)
c
3
, c
9
(y
34
− 22y
33
+ ··· − 16y + 1)
· (y
136
− 105y
135
+ ··· + 83487901151y + 2731003081)
c
4
(y
34
+ 5y
33
+ ··· + 21y + 1)
· (y
136
+ 42y
135
+ ··· − 67453559308704y + 1773187855321)
c
5
, c
11
(y
34
+ 20y
33
+ ··· + 28y + 1)(y
136
+ 57y
135
+ ··· + 15435y + 841)
c
7
(y
34
− 8y
33
+ ··· − 40y + 1)
· (y
136
− 51y
135
+ ··· − 522376161599385y + 5201131798801)
c
8
, c
12
(y
34
− 38y
33
+ ··· − 86y + 1)
· (y
136
− 125y
135
+ ··· − 1327455299y + 2679769)
c
10
(y
34
+ 4y
33
+ ··· − 64y + 1)
· (y
136
+ 61y
135
+ ··· − 238478069y + 707281)
29
