12a
0407
(K12a
0407
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 10 2 12 4 7 1 8 5
Solving Sequence
2,7
6 3
1,10
11 5 9 4 8 12
c
6
c
2
c
1
c
10
c
5
c
9
c
3
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h7.29009 × 10
364
u
160
+ 5.02475 × 10
364
u
159
+ ··· + 1.34269 × 10
365
b + 1.27656 × 10
366
,
1.16613 × 10
365
u
160
+ 5.58206 × 10
365
u
159
+ ··· + 1.34269 × 10
365
a + 3.05746 × 10
366
, u
161
+ u
160
+ ··· − 17u − 1i
I
u
2
= h−273942u
35
+ 8823771u
34
+ ··· + 3079049b + 13356427,
24459491u
35
+ 69731434u
34
+ ··· + 9237147a + 438577488, u
36
+ 2u
35
+ ··· + 22u
2
+ 3i
* 2 irreducible components of dim
C
= 0, with total 197 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
= h7.29 × 10
364
u
160
+ 5.02 × 10
364
u
159
+ · · · + 1.34 × 10
365
b + 1.28 ×
10
366
, 1.17 × 10
365
u
160
+ 5.58 × 10
365
u
159
+ · · · + 1.34 × 10
365
a + 3.06 ×
10
366
, u
161
+ u
160
+ · · · − 17u − 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−0.868503u
160
− 4.15736u
159
+ ··· − 244.015u − 22.7711
−0.542945u
160
− 0.374229u
159
+ ··· − 120.551u − 9.50743
a
11
=
−6.83002u
160
− 10.0892u
159
+ ··· − 334.168u − 28.0262
0.493273u
160
+ 3.42162u
159
+ ··· − 154.528u − 11.2426
a
5
=
−3.32957u
160
− 11.0086u
159
+ ··· + 264.354u + 24.6671
0.172703u
160
+ 0.694748u
159
+ ··· + 58.0416u + 7.08239
a
9
=
−1.41145u
160
− 4.53159u
159
+ ··· − 364.565u − 32.2785
−0.542945u
160
− 0.374229u
159
+ ··· − 120.551u − 9.50743
a
4
=
1.59253u
160
+ 1.09474u
159
+ ··· + 68.7446u + 6.82380
6.15262u
160
+ 11.1489u
159
+ ··· + 25.3152u + 2.66973
a
8
=
49.0445u
160
+ 47.6382u
159
+ ··· + 457.132u + 19.3973
2.26467u
160
+ 2.11722u
159
+ ··· − 30.9504u − 4.04200
a
12
=
−73.2349u
160
− 125.571u
159
+ ··· − 55.2086u + 1.05695
0.935533u
160
+ 3.82850u
159
+ ··· + 24.5975u + 4.26703
(ii) Obstruction class = −1
(iii) Cusp Shapes = 69.0866u
160
+ 87.1460u
159
+ ··· + 242.322u + 5.30831
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
161
+ 77u
160
+ ··· + 87u − 1
c
2
, c
6
u
161
+ u
160
+ ··· − 17u − 1
c
3
, c
8
u
161
− 3u
160
+ ··· + 4109148u − 232661
c
4
u
161
+ 31u
159
+ ··· − 835953597u − 981193891
c
5
u
161
− 2u
160
+ ··· + 54544u − 4861
c
7
, c
11
u
161
+ u
160
+ ··· − 57047u − 4381
c
9
u
161
− 16u
160
+ ··· + 9283u − 167
c
10
u
161
+ 17u
160
+ ··· − 158166u − 7087
c
12
u
161
− u
160
+ ··· − 31u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
161
+ 29y
160
+ ··· + 4223y −1
c
2
, c
6
y
161
+ 77y
160
+ ··· + 87y −1
c
3
, c
8
y
161
+ 123y
160
+ ··· + 6872989493074y −54131140921
c
4
y
161
+ 62y
160
+ ··· − 1.81 × 10
19
y −9.63 × 10
17
c
5
y
161
+ 14y
160
+ ··· + 3371540262y −23629321
c
7
, c
11
y
161
+ 107y
160
+ ··· − 1600208367y −19193161
c
9
y
161
− 18y
160
+ ··· + 18773891y −27889
c
10
y
161
− 5y
160
+ ··· − 2043156540y −50225569
c
12
y
161
+ 9y
160
+ ··· − 771y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.920183 + 0.388318I
a = −0.120462 + 0.084381I
b = −1.05456 − 1.26768I
−4.4461 − 14.5339I 0
u = 0.920183 − 0.388318I
a = −0.120462 − 0.084381I
b = −1.05456 + 1.26768I
−4.4461 + 14.5339I 0
u = −0.213299 + 0.981898I
a = −2.11606 + 0.57496I
b = 1.096950 + 0.767795I
−6.02097 + 1.05255I 0
u = −0.213299 − 0.981898I
a = −2.11606 − 0.57496I
b = 1.096950 − 0.767795I
−6.02097 − 1.05255I 0
u = 0.454047 + 0.897536I
a = −0.67035 − 4.19204I
b = 0.058120 − 0.276135I
−3.55839 + 2.02593I 0
u = 0.454047 − 0.897536I
a = −0.67035 + 4.19204I
b = 0.058120 + 0.276135I
−3.55839 − 2.02593I 0
u = 0.845975 + 0.508794I
a = −0.216335 − 0.188527I
b = 0.230433 − 1.024480I
1.08505 + 4.55793I 0
u = 0.845975 − 0.508794I
a = −0.216335 + 0.188527I
b = 0.230433 + 1.024480I
1.08505 − 4.55793I 0
u = 0.945442 + 0.374725I
a = 0.094914 − 0.140949I
b = 0.88374 + 1.12672I
−0.05495 − 8.13209I 0
u = 0.945442 − 0.374725I
a = 0.094914 + 0.140949I
b = 0.88374 − 1.12672I
−0.05495 + 8.13209I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.958076 + 0.375052I
a = −0.098903 + 0.183045I
b = −0.686984 + 0.840107I
−5.70126 + 5.21462I 0
u = −0.958076 − 0.375052I
a = −0.098903 − 0.183045I
b = −0.686984 − 0.840107I
−5.70126 − 5.21462I 0
u = 0.833540 + 0.496681I
a = 0.301725 − 0.066206I
b = 0.212629 + 0.949219I
3.67030 + 0.52176I 0
u = 0.833540 − 0.496681I
a = 0.301725 + 0.066206I
b = 0.212629 − 0.949219I
3.67030 − 0.52176I 0
u = −0.668799 + 0.800513I
a = −0.034869 − 0.588872I
b = −0.604844 + 1.024080I
3.44165 − 3.73728I 0
u = −0.668799 − 0.800513I
a = −0.034869 + 0.588872I
b = −0.604844 − 1.024080I
3.44165 + 3.73728I 0
u = −0.820253 + 0.484921I
a = −0.279343 − 0.086009I
b = 0.683991 − 1.110330I
1.00094 + 8.18407I 0
u = −0.820253 − 0.484921I
a = −0.279343 + 0.086009I
b = 0.683991 + 1.110330I
1.00094 − 8.18407I 0
u = 0.727501 + 0.609302I
a = −0.990778 + 0.746863I
b = −1.15372 − 1.43135I
−3.32970 − 4.99273I 0
u = 0.727501 − 0.609302I
a = −0.990778 − 0.746863I
b = −1.15372 + 1.43135I
−3.32970 + 4.99273I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.963107 + 0.424520I
a = −0.149902 + 0.212500I
b = −0.907983 − 0.762420I
−5.54447 − 1.52207I 0
u = 0.963107 − 0.424520I
a = −0.149902 − 0.212500I
b = −0.907983 + 0.762420I
−5.54447 + 1.52207I 0
u = 0.340748 + 0.999082I
a = 0.509882 + 0.655330I
b = −0.0504512 − 0.0033752I
−1.59342 + 2.36136I 0
u = 0.340748 − 0.999082I
a = 0.509882 − 0.655330I
b = −0.0504512 + 0.0033752I
−1.59342 − 2.36136I 0
u = −0.799449 + 0.493939I
a = 0.315757 − 0.152492I
b = −0.634390 + 0.871272I
3.76059 + 3.96773I 0
u = −0.799449 − 0.493939I
a = 0.315757 + 0.152492I
b = −0.634390 − 0.871272I
3.76059 − 3.96773I 0
u = 0.067008 + 1.060220I
a = 1.045540 − 0.545214I
b = −0.234224 + 0.328954I
−1.92600 + 2.56246I 0
u = 0.067008 − 1.060220I
a = 1.045540 + 0.545214I
b = −0.234224 − 0.328954I
−1.92600 − 2.56246I 0
u = 0.342362 + 1.007690I
a = −0.79847 − 1.86499I
b = 0.720110 + 0.260212I
−1.65949 − 0.39084I 0
u = 0.342362 − 1.007690I
a = −0.79847 + 1.86499I
b = 0.720110 − 0.260212I
−1.65949 + 0.39084I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.614430 + 0.879462I
a = 1.47712 − 0.43521I
b = −0.870635 − 0.785991I
3.17480 − 1.25302I 0
u = −0.614430 − 0.879462I
a = 1.47712 + 0.43521I
b = −0.870635 + 0.785991I
3.17480 + 1.25302I 0
u = 0.443962 + 0.813598I
a = 4.33094 + 0.46212I
b = −0.284704 + 0.108242I
−3.28452 + 1.71613I 0
u = 0.443962 − 0.813598I
a = 4.33094 − 0.46212I
b = −0.284704 − 0.108242I
−3.28452 − 1.71613I 0
u = 0.433408 + 0.984644I
a = 1.52700 + 2.49417I
b = −2.67886 − 1.06701I
−8.28472 + 8.49362I 0
u = 0.433408 − 0.984644I
a = 1.52700 − 2.49417I
b = −2.67886 + 1.06701I
−8.28472 − 8.49362I 0
u = 0.452110 + 0.976335I
a = −1.033830 − 0.905090I
b = 0.498613 − 1.173200I
−3.29335 + 0.98120I 0
u = 0.452110 − 0.976335I
a = −1.033830 + 0.905090I
b = 0.498613 + 1.173200I
−3.29335 − 0.98120I 0
u = −0.163706 + 1.066740I
a = 1.84657 − 1.56397I
b = −1.62161 + 0.34813I
−5.28626 + 2.79651I 0
u = −0.163706 − 1.066740I
a = 1.84657 + 1.56397I
b = −1.62161 − 0.34813I
−5.28626 − 2.79651I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.470825 + 0.974416I
a = −0.93705 − 1.11121I
b = 1.36138 + 1.04253I
−3.18853 + 4.62134I 0
u = 0.470825 − 0.974416I
a = −0.93705 + 1.11121I
b = 1.36138 − 1.04253I
−3.18853 − 4.62134I 0
u = −0.353673 + 1.026800I
a = 2.23706 − 0.71877I
b = −1.50962 + 0.29934I
−9.58794 + 4.21103I 0
u = −0.353673 − 1.026800I
a = 2.23706 + 0.71877I
b = −1.50962 − 0.29934I
−9.58794 − 4.21103I 0
u = −0.352033 + 1.049390I
a = −1.52263 + 0.67098I
b = 1.326070 − 0.412994I
−5.68100 − 0.60486I 0
u = −0.352033 − 1.049390I
a = −1.52263 − 0.67098I
b = 1.326070 + 0.412994I
−5.68100 + 0.60486I 0
u = 0.558008 + 0.957291I
a = −1.91089 − 1.19952I
b = 0.572053 − 0.174648I
−2.65541 + 2.58053I 0
u = 0.558008 − 0.957291I
a = −1.91089 + 1.19952I
b = 0.572053 + 0.174648I
−2.65541 − 2.58053I 0
u = −0.292041 + 1.069730I
a = 1.358080 + 0.297040I
b = −1.139240 + 0.087669I
−9.11076 − 5.64486I 0
u = −0.292041 − 1.069730I
a = 1.358080 − 0.297040I
b = −1.139240 − 0.087669I
−9.11076 + 5.64486I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.539798 + 0.703833I
a = −0.455954 + 0.973518I
b = 0.362346 + 0.198550I
−1.82386 + 1.92463I 0
u = 0.539798 − 0.703833I
a = −0.455954 − 0.973518I
b = 0.362346 − 0.198550I
−1.82386 − 1.92463I 0
u = −0.563232 + 0.965023I
a = −2.05641 + 0.26959I
b = 0.93834 + 1.39542I
0.41749 − 6.60848I 0
u = −0.563232 − 0.965023I
a = −2.05641 − 0.26959I
b = 0.93834 − 1.39542I
0.41749 + 6.60848I 0
u = 0.474321 + 1.015760I
a = 2.24625 + 0.92224I
b = −1.52829 + 1.73485I
−7.93688 − 2.52368I 0
u = 0.474321 − 1.015760I
a = 2.24625 − 0.92224I
b = −1.52829 − 1.73485I
−7.93688 + 2.52368I 0
u = −0.172278 + 1.117900I
a = −1.19207 + 1.27159I
b = 1.108050 − 0.579662I
−4.01990 + 1.17968I 0
u = −0.172278 − 1.117900I
a = −1.19207 − 1.27159I
b = 1.108050 + 0.579662I
−4.01990 − 1.17968I 0
u = 0.668655 + 0.548525I
a = 0.347140 + 0.009131I
b = −0.080388 − 0.848571I
1.67282 + 1.18336I 0
u = 0.668655 − 0.548525I
a = 0.347140 − 0.009131I
b = −0.080388 + 0.848571I
1.67282 − 1.18336I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.304888 + 0.802879I
a = 2.32480 + 2.05839I
b = −2.54195 − 0.02928I
−7.39278 − 5.30678I 0
u = 0.304888 − 0.802879I
a = 2.32480 − 2.05839I
b = −2.54195 + 0.02928I
−7.39278 + 5.30678I 0
u = −0.764040 + 0.391991I
a = 0.223589 − 0.039141I
b = 0.88888 − 1.28525I
0.79779 + 3.54630I 0
u = −0.764040 − 0.391991I
a = 0.223589 + 0.039141I
b = 0.88888 + 1.28525I
0.79779 − 3.54630I 0
u = 0.015813 + 1.141970I
a = −1.14203 + 1.10548I
b = 0.479146 − 0.877561I
−4.83516 + 6.43812I 0
u = 0.015813 − 1.141970I
a = −1.14203 − 1.10548I
b = 0.479146 + 0.877561I
−4.83516 − 6.43812I 0
u = −0.746733 + 0.414279I
a = −0.398507 − 0.220503I
b = −1.37522 + 1.25564I
−0.56354 + 4.87266I 0
u = −0.746733 − 0.414279I
a = −0.398507 + 0.220503I
b = −1.37522 − 1.25564I
−0.56354 − 4.87266I 0
u = 0.671603 + 0.522356I
a = −0.311479 − 0.443718I
b = −0.433453 + 0.751213I
0.01428 + 2.52092I 0
u = 0.671603 − 0.522356I
a = −0.311479 + 0.443718I
b = −0.433453 − 0.751213I
0.01428 − 2.52092I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.523616 + 1.023740I
a = −0.451838 + 0.769470I
b = 0.022800 − 0.287948I
−1.47135 + 2.18018I 0
u = 0.523616 − 1.023740I
a = −0.451838 − 0.769470I
b = 0.022800 + 0.287948I
−1.47135 − 2.18018I 0
u = −0.421265 + 1.073750I
a = 1.28205 + 0.65629I
b = 0.00833 − 1.76181I
−7.72121 − 2.90646I 0
u = −0.421265 − 1.073750I
a = 1.28205 − 0.65629I
b = 0.00833 + 1.76181I
−7.72121 + 2.90646I 0
u = −0.883194 + 0.744299I
a = −0.207356 + 0.094147I
b = −0.233222 − 0.633268I
−2.31537 − 10.03430I 0
u = −0.883194 − 0.744299I
a = −0.207356 − 0.094147I
b = −0.233222 + 0.633268I
−2.31537 + 10.03430I 0
u = −0.528965 + 0.646369I
a = 0.765690 + 0.178414I
b = 0.49398 − 1.46583I
1.39400 + 2.12080I 0
u = −0.528965 − 0.646369I
a = 0.765690 − 0.178414I
b = 0.49398 + 1.46583I
1.39400 − 2.12080I 0
u = −0.487589 + 1.058840I
a = −1.16102 + 1.01325I
b = 0.700120 + 0.808782I
−4.80513 − 6.17689I 0
u = −0.487589 − 1.058840I
a = −1.16102 − 1.01325I
b = 0.700120 − 0.808782I
−4.80513 + 6.17689I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.429668 + 1.084450I
a = −0.284911 − 1.342230I
b = −1.03324 + 1.55189I
−7.65428 − 4.22413I 0
u = −0.429668 − 1.084450I
a = −0.284911 + 1.342230I
b = −1.03324 − 1.55189I
−7.65428 + 4.22413I 0
u = −0.503277 + 1.052460I
a = 1.06773 − 1.69356I
b = −0.912139 − 0.512714I
−8.56842 − 10.78630I 0
u = −0.503277 − 1.052460I
a = 1.06773 + 1.69356I
b = −0.912139 + 0.512714I
−8.56842 + 10.78630I 0
u = 0.523287 + 1.045050I
a = −2.52851 − 0.28979I
b = 1.27717 − 0.91760I
−0.42986 + 6.78772I 0
u = 0.523287 − 1.045050I
a = −2.52851 + 0.28979I
b = 1.27717 + 0.91760I
−0.42986 − 6.78772I 0
u = 0.577350 + 1.026680I
a = 1.49184 + 0.09660I
b = −0.529922 + 0.601456I
0.24834 + 3.65479I 0
u = 0.577350 − 1.026680I
a = 1.49184 − 0.09660I
b = −0.529922 − 0.601456I
0.24834 − 3.65479I 0
u = 0.645528 + 0.501164I
a = 0.450722 + 0.089944I
b = −0.189579 − 1.104270I
1.72552 + 1.29384I 0
u = 0.645528 − 0.501164I
a = 0.450722 − 0.089944I
b = −0.189579 + 1.104270I
1.72552 − 1.29384I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.372475 + 0.722416I
a = −2.49630 − 0.70039I
b = 1.40964 − 0.46282I
−2.24882 − 0.96597I 0
u = 0.372475 − 0.722416I
a = −2.49630 + 0.70039I
b = 1.40964 + 0.46282I
−2.24882 + 0.96597I 0
u = 0.567997 + 1.043690I
a = 1.86973 − 0.31465I
b = −0.518217 + 0.921647I
0.12411 + 3.47539I 0
u = 0.567997 − 1.043690I
a = 1.86973 + 0.31465I
b = −0.518217 − 0.921647I
0.12411 − 3.47539I 0
u = 0.794081 + 0.885202I
a = −0.460364 − 1.145470I
b = 1.63918 + 0.15378I
1.61981 + 2.97722I 0
u = 0.794081 − 0.885202I
a = −0.460364 + 1.145470I
b = 1.63918 − 0.15378I
1.61981 − 2.97722I 0
u = −0.583976 + 1.035980I
a = −1.34987 + 1.11548I
b = 1.59571 + 0.09368I
−3.65071 − 7.26272I 0
u = −0.583976 − 1.035980I
a = −1.34987 − 1.11548I
b = 1.59571 − 0.09368I
−3.65071 + 7.26272I 0
u = 0.627265 + 1.015700I
a = 2.03259 + 0.62732I
b = −1.69241 + 1.67030I
−4.56146 + 10.18510I 0
u = 0.627265 − 1.015700I
a = 2.03259 − 0.62732I
b = −1.69241 − 1.67030I
−4.56146 − 10.18510I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.586748 + 0.521256I
a = −0.279406 + 0.950011I
b = 1.120020 − 0.146739I
−2.16459 + 2.50983I 0
u = −0.586748 − 0.521256I
a = −0.279406 − 0.950011I
b = 1.120020 + 0.146739I
−2.16459 − 2.50983I 0
u = −0.497123 + 1.119690I
a = 0.025159 − 0.639605I
b = −0.072326 − 0.387958I
−7.76044 − 1.78334I 0
u = −0.497123 − 1.119690I
a = 0.025159 + 0.639605I
b = −0.072326 + 0.387958I
−7.76044 + 1.78334I 0
u = −0.727917 + 0.238018I
a = −0.530709 + 1.033550I
b = −0.302965 − 0.245522I
−5.14916 − 2.78172I 0
u = −0.727917 − 0.238018I
a = −0.530709 − 1.033550I
b = −0.302965 + 0.245522I
−5.14916 + 2.78172I 0
u = −0.745964 + 0.164770I
a = 0.118410 − 0.296590I
b = 0.336770 − 1.363730I
0.79072 + 2.67359I 0
u = −0.745964 − 0.164770I
a = 0.118410 + 0.296590I
b = 0.336770 + 1.363730I
0.79072 − 2.67359I 0
u = −0.860389 + 0.894174I
a = −0.577859 − 0.086101I
b = −0.033838 + 0.158962I
−2.76048 + 3.77491I 0
u = −0.860389 − 0.894174I
a = −0.577859 + 0.086101I
b = −0.033838 − 0.158962I
−2.76048 − 3.77491I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.588407 + 1.094670I
a = 2.45378 − 0.75173I
b = −1.79175 − 1.44150I
−2.56727 − 9.94580I 0
u = −0.588407 − 1.094670I
a = 2.45378 + 0.75173I
b = −1.79175 + 1.44150I
−2.56727 + 9.94580I 0
u = −0.909475 + 0.849114I
a = 0.367873 − 0.166562I
b = −0.117220 + 0.295460I
2.85837 − 3.27342I 0
u = −0.909475 − 0.849114I
a = 0.367873 + 0.166562I
b = −0.117220 − 0.295460I
2.85837 + 3.27342I 0
u = −0.630238 + 1.078940I
a = 1.72550 − 0.34518I
b = −0.915967 − 0.764878I
2.00596 − 9.33621I 0
u = −0.630238 − 1.078940I
a = 1.72550 + 0.34518I
b = −0.915967 + 0.764878I
2.00596 + 9.33621I 0
u = −0.589103 + 1.106950I
a = −2.21603 + 0.32002I
b = 1.24653 + 1.44635I
−1.30820 − 8.66085I 0
u = −0.589103 − 1.106950I
a = −2.21603 − 0.32002I
b = 1.24653 − 1.44635I
−1.30820 + 8.66085I 0
u = 0.658686 + 1.074320I
a = −1.137500 − 0.116592I
b = 0.651713 − 0.960686I
1.95014 + 5.03109I 0
u = 0.658686 − 1.074320I
a = −1.137500 + 0.116592I
b = 0.651713 + 0.960686I
1.95014 − 5.03109I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.637002 + 1.089020I
a = −1.97119 + 0.33647I
b = 0.862171 + 1.050450I
−0.81446 − 13.63000I 0
u = −0.637002 − 1.089020I
a = −1.97119 − 0.33647I
b = 0.862171 − 1.050450I
−0.81446 + 13.63000I 0
u = 0.251041 + 0.677405I
a = 2.19008 − 0.14679I
b = 0.245597 + 0.429775I
−2.21578 + 2.42347I 0
u = 0.251041 − 0.677405I
a = 2.19008 + 0.14679I
b = 0.245597 − 0.429775I
−2.21578 − 2.42347I 0
u = 0.694124 + 1.088710I
a = 0.689255 − 0.211587I
b = 0.005034 + 0.822763I
−0.637996 + 1.139050I 0
u = 0.694124 − 1.088710I
a = 0.689255 + 0.211587I
b = 0.005034 − 0.822763I
−0.637996 − 1.139050I 0
u = 0.047761 + 0.692037I
a = −0.48457 + 1.54702I
b = 0.538281 − 0.369837I
−2.06410 + 2.07968I 0
u = 0.047761 − 0.692037I
a = −0.48457 − 1.54702I
b = 0.538281 + 0.369837I
−2.06410 − 2.07968I 0
u = 0.118146 + 1.303960I
a = 1.00722 + 1.14028I
b = −1.124220 − 0.732935I
−10.4134 − 11.3385I 0
u = 0.118146 − 1.303960I
a = 1.00722 − 1.14028I
b = −1.124220 + 0.732935I
−10.4134 + 11.3385I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.562254 + 1.185940I
a = −1.56821 − 0.37587I
b = 0.56250 + 1.40878I
−2.09331 − 7.65950I 0
u = −0.562254 − 1.185940I
a = −1.56821 + 0.37587I
b = 0.56250 − 1.40878I
−2.09331 + 7.65950I 0
u = 0.640272 + 1.161150I
a = 2.02906 + 0.31372I
b = −1.29769 + 1.40569I
−6.7947 + 20.2416I 0
u = 0.640272 − 1.161150I
a = 2.02906 − 0.31372I
b = −1.29769 − 1.40569I
−6.7947 − 20.2416I 0
u = 0.488051 + 0.455353I
a = −0.660190 − 0.334802I
b = 0.85045 + 1.15228I
1.28651 − 2.50406I 0
u = 0.488051 − 0.455353I
a = −0.660190 + 0.334802I
b = 0.85045 − 1.15228I
1.28651 + 2.50406I 0
u = −0.647143 + 1.170200I
a = 1.39516 − 0.40041I
b = −0.890752 − 1.032550I
−8.12393 − 11.02800I 0
u = −0.647143 − 1.170200I
a = 1.39516 + 0.40041I
b = −0.890752 + 1.032550I
−8.12393 + 11.02800I 0
u = 0.644203 + 1.172780I
a = −1.79245 − 0.20694I
b = 1.15490 − 1.25220I
−2.48618 + 13.91520I 0
u = 0.644203 − 1.172780I
a = −1.79245 + 0.20694I
b = 1.15490 + 1.25220I
−2.48618 − 13.91520I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.476042 + 1.253450I
a = 0.767654 + 0.982557I
b = 0.118953 − 1.273140I
−3.03300 − 1.67807I 0
u = −0.476042 − 1.253450I
a = 0.767654 − 0.982557I
b = 0.118953 + 1.273140I
−3.03300 + 1.67807I 0
u = 0.668020 + 1.162970I
a = 1.43723 + 0.44957I
b = −1.22373 + 0.90401I
−7.80886 + 7.44969I 0
u = 0.668020 − 1.162970I
a = 1.43723 − 0.44957I
b = −1.22373 − 0.90401I
−7.80886 − 7.44969I 0
u = 0.126270 + 1.354470I
a = −0.719731 − 0.868441I
b = 0.891685 + 0.551190I
−6.15020 − 4.65066I 0
u = 0.126270 − 1.354470I
a = −0.719731 + 0.868441I
b = 0.891685 − 0.551190I
−6.15020 + 4.65066I 0
u = 0.000473 + 1.369210I
a = 0.896106 + 0.084947I
b = −0.945924 + 0.059529I
−12.22080 + 1.70336I 0
u = 0.000473 − 1.369210I
a = 0.896106 − 0.084947I
b = −0.945924 − 0.059529I
−12.22080 − 1.70336I 0
u = 0.359633 + 0.473165I
a = −2.38433 + 0.40404I
b = −1.104890 − 0.868179I
−6.36818 + 6.30013I 1.93697 − 5.53240I
u = 0.359633 − 0.473165I
a = −2.38433 − 0.40404I
b = −1.104890 + 0.868179I
−6.36818 − 6.30013I 1.93697 + 5.53240I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.467824 + 0.330553I
a = −0.89423 + 1.69100I
b = −0.977860 − 0.023372I
−6.62905 + 6.66692I 2.14653 − 5.53860I
u = −0.467824 − 0.330553I
a = −0.89423 − 1.69100I
b = −0.977860 + 0.023372I
−6.62905 − 6.66692I 2.14653 + 5.53860I
u = −0.539397 + 0.036460I
a = −0.11717 − 1.94068I
b = −0.413536 − 1.085250I
−4.92314 + 0.56628I 1.80420 + 0.22948I
u = −0.539397 − 0.036460I
a = −0.11717 + 1.94068I
b = −0.413536 + 1.085250I
−4.92314 − 0.56628I 1.80420 − 0.22948I
u = −0.463328 + 0.197279I
a = 0.62065 − 1.70777I
b = 0.726297 − 0.235177I
−2.65574 + 2.21678I 4.57837 − 3.22394I
u = −0.463328 − 0.197279I
a = 0.62065 + 1.70777I
b = 0.726297 + 0.235177I
−2.65574 − 2.21678I 4.57837 + 3.22394I
u = −0.08554 + 1.58780I
a = 0.268697 − 0.093947I
b = −0.438910 + 0.180398I
−12.32900 + 1.54184I 0
u = −0.08554 − 1.58780I
a = 0.268697 + 0.093947I
b = −0.438910 − 0.180398I
−12.32900 − 1.54184I 0
u = 0.328598
a = 1.18737
b = −0.238997
0.768218 13.3120
u = −0.1320090 + 0.0271147I
a = 0.47780 − 3.42508I
b = 0.392252 − 1.205860I
0.91673 + 2.35515I 2.29213 − 5.21832I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.1320090 − 0.0271147I
a = 0.47780 + 3.42508I
b = 0.392252 + 1.205860I
0.91673 − 2.35515I 2.29213 + 5.21832I
21
II.
I
u
2
= h−2.74 × 10
5
u
35
+ 8.82 × 10
6
u
34
+ · · · + 3.08 × 10
6
b + 1.34 × 10
7
, 2.45 ×
10
7
u
35
+6.97×10
7
u
34
+· · ·+9.24×10
6
a+4.39×10
8
, u
36
+2u
35
+· · ·+22u
2
+3i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−2.64795u
35
− 7.54902u
34
+ ··· − 3.16921u − 47.4798
0.0889697u
35
− 2.86575u
34
+ ··· + 0.420458u − 4.33784
a
11
=
−0.0743336u
35
− 7.99853u
34
+ ··· + 7.41759u − 58.5981
−0.192023u
35
− 1.60078u
34
+ ··· − 5.34451u − 6.20682
a
5
=
19.1869u
35
+ 47.1453u
34
+ ··· + 60.5547u + 56.9804
−13.6982u
35
− 23.8281u
34
+ ··· − 31.4578u − 23.6076
a
9
=
−2.55898u
35
− 10.4148u
34
+ ··· − 2.74876u − 51.8176
0.0889697u
35
− 2.86575u
34
+ ··· + 0.420458u − 4.33784
a
4
=
−6.98698u
35
+ 3.35134u
34
+ ··· + 10.7427u + 34.7553
−u
34
− u
33
+ ··· + 3u − 2
a
8
=
−8.33089u
35
− 6.43174u
34
+ ··· − 18.0880u + 63.2520
−3.34423u
35
− 17.8273u
34
+ ··· + 5.69385u − 34.6095
a
12
=
23.0671u
35
+ 57.2282u
34
+ ··· + 147.394u + 18.9144
0.0790312u
35
+ 10.1966u
34
+ ··· − 15.9003u + 40.7090
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
6986395
3079049
u
35
−
115112190
3079049
u
34
+ ··· +
264804481
3079049
u −
156421356
3079049
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
36
− 22u
35
+ ··· − 132u + 9
c
2
u
36
− 2u
35
+ ··· + 22u
2
+ 3
c
3
u
36
− 4u
35
+ ··· + 3u + 1
c
4
u
36
+ u
35
+ ··· − 2u + 1
c
5
u
36
− 3u
35
+ ··· − u + 1
c
6
u
36
+ 2u
35
+ ··· + 22u
2
+ 3
c
7
u
36
− 2u
35
+ ··· + 2u + 1
c
8
u
36
+ 4u
35
+ ··· − 3u + 1
c
9
u
36
+ 3u
35
+ ··· + 4u + 1
c
10
u
36
+ 4u
35
+ ··· + u + 1
c
11
u
36
+ 2u
35
+ ··· − 2u + 1
c
12
u
36
− 4u
35
+ ··· − 2u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
− 2y
35
+ ··· + 792y + 81
c
2
, c
6
y
36
+ 22y
35
+ ··· + 132y + 9
c
3
, c
8
y
36
+ 24y
35
+ ··· + 5y + 1
c
4
y
36
+ 3y
35
+ ··· + 36y + 1
c
5
y
36
− 9y
35
+ ··· + 65y + 1
c
7
, c
11
y
36
+ 20y
35
+ ··· + 38y + 1
c
9
y
36
− 21y
35
+ ··· + 32y + 1
c
10
y
36
− 24y
35
+ ··· − 21y + 1
c
12
y
36
+ 10y
35
+ ··· + 6y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.427633 + 0.892512I
a = 1.34404 + 3.29332I
b = −0.023543 + 0.179093I
−3.60845 + 1.96750I −10.5027 + 25.1781I
u = 0.427633 − 0.892512I
a = 1.34404 − 3.29332I
b = −0.023543 − 0.179093I
−3.60845 − 1.96750I −10.5027 − 25.1781I
u = −0.311562 + 0.932514I
a = 0.682349 − 1.015160I
b = −1.79745 + 0.79765I
−7.94658 − 7.39898I 0.39204 + 6.51446I
u = −0.311562 − 0.932514I
a = 0.682349 + 1.015160I
b = −1.79745 − 0.79765I
−7.94658 + 7.39898I 0.39204 − 6.51446I
u = −0.820885 + 0.603070I
a = −0.445746 − 0.326966I
b = −0.969508 + 0.735023I
−4.14637 + 4.39788I 2.02046 − 3.27056I
u = −0.820885 − 0.603070I
a = −0.445746 + 0.326966I
b = −0.969508 − 0.735023I
−4.14637 − 4.39788I 2.02046 + 3.27056I
u = −0.329319 + 0.900303I
a = 3.02260 − 1.82845I
b = −2.26465 − 0.27346I
−7.86231 + 4.72596I −2.62567 − 1.01563I
u = −0.329319 − 0.900303I
a = 3.02260 + 1.82845I
b = −2.26465 + 0.27346I
−7.86231 − 4.72596I −2.62567 + 1.01563I
u = −0.183526 + 1.086600I
a = −1.50994 + 1.41586I
b = 1.289140 − 0.363314I
−3.54641 + 2.10833I 2.24260 − 3.90159I
u = −0.183526 − 1.086600I
a = −1.50994 − 1.41586I
b = 1.289140 + 0.363314I
−3.54641 − 2.10833I 2.24260 + 3.90159I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.232343 + 1.124590I
a = −0.020224 + 0.635581I
b = 0.868133 − 0.649405I
−4.62123 − 2.81611I 1.68435 + 3.28262I
u = −0.232343 − 1.124590I
a = −0.020224 − 0.635581I
b = 0.868133 + 0.649405I
−4.62123 + 2.81611I 1.68435 − 3.28262I
u = 0.498732 + 1.047570I
a = −2.00973 + 0.05423I
b = 0.863465 − 1.064110I
−0.58444 + 5.51559I 3.76244 − 4.78669I
u = 0.498732 − 1.047570I
a = −2.00973 − 0.05423I
b = 0.863465 + 1.064110I
−0.58444 − 5.51559I 3.76244 + 4.78669I
u = 0.406955 + 0.731762I
a = −3.05083 − 0.19270I
b = 0.241241 + 0.107345I
−3.20536 + 1.59773I 14.2628 + 4.7208I
u = 0.406955 − 0.731762I
a = −3.05083 + 0.19270I
b = 0.241241 − 0.107345I
−3.20536 − 1.59773I 14.2628 − 4.7208I
u = 0.787652 + 0.860862I
a = 0.484953 + 0.321118I
b = −0.409829 − 0.296903I
3.38085 + 2.95515I 14.6942 + 0.7830I
u = 0.787652 − 0.860862I
a = 0.484953 − 0.321118I
b = −0.409829 + 0.296903I
3.38085 − 2.95515I 14.6942 − 0.7830I
u = −0.735264 + 0.386817I
a = 0.178595 + 0.120005I
b = 1.10696 − 1.25658I
1.06544 + 4.41503I 9.17473 − 7.03836I
u = −0.735264 − 0.386817I
a = 0.178595 − 0.120005I
b = 1.10696 + 1.25658I
1.06544 − 4.41503I 9.17473 + 7.03836I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.820007 + 0.877730I
a = −0.322360 + 1.035620I
b = 1.45475 − 0.22491I
1.48343 − 3.05390I −16.4875 + 15.2002I
u = −0.820007 − 0.877730I
a = −0.322360 − 1.035620I
b = 1.45475 + 0.22491I
1.48343 + 3.05390I −16.4875 − 15.2002I
u = −0.638467 + 1.026220I
a = 1.52174 − 1.10047I
b = −1.60981 − 0.91718I
−5.43897 − 9.83227I 0. + 8.35305I
u = −0.638467 − 1.026220I
a = 1.52174 + 1.10047I
b = −1.60981 + 0.91718I
−5.43897 + 9.83227I 0. − 8.35305I
u = 0.082636 + 0.755082I
a = −2.65874 + 0.05945I
b = 0.715192 + 0.306531I
−3.09846 + 1.75879I 1.66196 − 2.29003I
u = 0.082636 − 0.755082I
a = −2.65874 − 0.05945I
b = 0.715192 − 0.306531I
−3.09846 − 1.75879I 1.66196 + 2.29003I
u = −0.579723 + 1.100540I
a = −2.40699 + 0.50773I
b = 1.51634 + 1.39481I
−1.01955 − 9.42472I 6.00000 + 11.11090I
u = −0.579723 − 1.100540I
a = −2.40699 − 0.50773I
b = 1.51634 − 1.39481I
−1.01955 + 9.42472I 6.00000 − 11.11090I
u = 0.387885 + 0.640352I
a = 0.233142 − 0.086990I
b = 0.48386 + 1.34785I
0.91377 − 1.67707I 2.04498 − 5.40963I
u = 0.387885 − 0.640352I
a = 0.233142 + 0.086990I
b = 0.48386 − 1.34785I
0.91377 + 1.67707I 2.04498 + 5.40963I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.562779 + 1.142520I
a = 0.821416 − 0.614192I
b = 0.028591 + 0.801812I
−0.53791 + 1.99663I 10.25177 − 2.40040I
u = 0.562779 − 1.142520I
a = 0.821416 + 0.614192I
b = 0.028591 − 0.801812I
−0.53791 − 1.99663I 10.25177 + 2.40040I
u = 0.580154 + 0.421847I
a = 0.0292708 + 0.0990432I
b = 0.324682 − 1.134260I
1.66459 + 2.60861I 12.4217 − 6.9824I
u = 0.580154 − 0.421847I
a = 0.0292708 − 0.0990432I
b = 0.324682 + 1.134260I
1.66459 − 2.60861I 12.4217 + 6.9824I
u = −0.08333 + 1.62828I
a = 0.106451 − 0.158694I
b = −0.317566 + 0.216529I
−12.24010 + 1.55523I 0
u = −0.08333 − 1.62828I
a = 0.106451 + 0.158694I
b = −0.317566 − 0.216529I
−12.24010 − 1.55523I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
36
− 22u
35
+ ··· − 132u + 9)(u
161
+ 77u
160
+ ··· + 87u − 1)
c
2
(u
36
− 2u
35
+ ··· + 22u
2
+ 3)(u
161
+ u
160
+ ··· − 17u − 1)
c
3
(u
36
− 4u
35
+ ··· + 3u + 1)(u
161
− 3u
160
+ ··· + 4109148u − 232661)
c
4
(u
36
+ u
35
+ ··· − 2u + 1)
· (u
161
+ 31u
159
+ ··· − 835953597u − 981193891)
c
5
(u
36
− 3u
35
+ ··· − u + 1)(u
161
− 2u
160
+ ··· + 54544u − 4861)
c
6
(u
36
+ 2u
35
+ ··· + 22u
2
+ 3)(u
161
+ u
160
+ ··· − 17u − 1)
c
7
(u
36
− 2u
35
+ ··· + 2u + 1)(u
161
+ u
160
+ ··· − 57047u − 4381)
c
8
(u
36
+ 4u
35
+ ··· − 3u + 1)(u
161
− 3u
160
+ ··· + 4109148u − 232661)
c
9
(u
36
+ 3u
35
+ ··· + 4u + 1)(u
161
− 16u
160
+ ··· + 9283u − 167)
c
10
(u
36
+ 4u
35
+ ··· + u + 1)(u
161
+ 17u
160
+ ··· − 158166u − 7087)
c
11
(u
36
+ 2u
35
+ ··· − 2u + 1)(u
161
+ u
160
+ ··· − 57047u − 4381)
c
12
(u
36
− 4u
35
+ ··· − 2u + 1)(u
161
− u
160
+ ··· − 31u − 1)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
36
− 2y
35
+ ··· + 792y + 81)(y
161
+ 29y
160
+ ··· + 4223y −1)
c
2
, c
6
(y
36
+ 22y
35
+ ··· + 132y + 9)(y
161
+ 77y
160
+ ··· + 87y −1)
c
3
, c
8
(y
36
+ 24y
35
+ ··· + 5y + 1)
· (y
161
+ 123y
160
+ ··· + 6872989493074y −54131140921)
c
4
(y
36
+ 3y
35
+ ··· + 36y + 1)
· (y
161
+ 62y
160
+ ··· − 1.81 × 10
19
y −9.63 × 10
17
)
c
5
(y
36
− 9y
35
+ ··· + 65y + 1)
· (y
161
+ 14y
160
+ ··· + 3371540262y −23629321)
c
7
, c
11
(y
36
+ 20y
35
+ ··· + 38y + 1)
· (y
161
+ 107y
160
+ ··· − 1600208367y −19193161)
c
9
(y
36
− 21y
35
+ ··· + 32y + 1)
· (y
161
− 18y
160
+ ··· + 18773891y −27889)
c
10
(y
36
− 24y
35
+ ··· − 21y + 1)
· (y
161
− 5y
160
+ ··· − 2043156540y −50225569)
c
12
(y
36
+ 10y
35
+ ··· + 6y + 1)(y
161
+ 9y
160
+ ··· − 771y −1)
32
