12a
1021
(K12a
1021
)
A knot diagram
1
Linearized knot diagam
4 7 6 10 11 9 12 3 2 1 8 5
Solving Sequence
7,12 3,8
9 2 10 6 4 1 11 5
c
7
c
8
c
2
c
9
c
6
c
3
c
1
c
11
c
5
c
4
, c
10
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.76415 × 10
1746
u
228
+ 7.91396 × 10
1745
u
227
+ ··· + 8.71926 × 10
1748
b − 1.55984 × 10
1750
,
− 4.25186 × 10
1751
u
228
+ 3.67618 × 10
1751
u
227
+ ··· + 1.12853 × 10
1753
a − 1.14813 × 10
1755
,
u
229
− u
228
+ ··· − 473u − 1849i
I
u
2
= h−2.54531 × 10
91
u
59
− 2.65678 × 10
92
u
58
+ ··· + 1.32675 × 10
91
b + 1.11176 × 10
93
,
6.49994 × 10
93
u
59
+ 1.67375 × 10
94
u
58
+ ··· + 9.28722 × 10
91
a − 1.04402 × 10
94
, u
60
+ 2u
59
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 289 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
= h3.76 × 10
1746
u
228
+ 7.91 × 10
1745
u
227
+ · · · + 8.72 × 10
1748
b − 1.56 ×
10
1750
, −4.25 × 10
1751
u
228
+ 3.68 × 10
1751
u
227
+ · · · + 1.13 × 10
1753
a −
1.15 × 10
1755
, u
229
− u
228
+ · · · − 473u − 1849i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
0.0376759u
228
− 0.0325749u
227
+ ··· − 88.3676u + 101.736
−0.00431706u
228
− 0.000907642u
227
+ ··· + 79.3362u + 17.8896
a
8
=
1
u
2
a
9
=
0.0111369u
228
− 0.00773449u
227
+ ··· + 1.61264u + 31.0373
−0.000822677u
228
− 0.000737425u
227
+ ··· + 38.2191u + 12.9938
a
2
=
0.0333589u
228
− 0.0334825u
227
+ ··· − 9.03142u + 119.626
−0.00431706u
228
− 0.000907642u
227
+ ··· + 79.3362u + 17.8896
a
10
=
0.0120323u
228
− 0.00969198u
227
+ ··· + 20.8382u + 29.8733
−0.000112845u
228
− 0.00116653u
227
+ ··· + 17.8629u + 3.86081
a
6
=
−0.000233471u
228
− 0.00328437u
227
+ ··· + 17.8662u + 9.63263
−0.000608332u
228
− 0.000133445u
227
+ ··· + 6.30555u + 2.83195
a
4
=
0.0130573u
228
− 0.0170195u
227
+ ··· − 17.4157u + 46.6706
−0.00640952u
228
+ 0.00156866u
227
+ ··· + 59.5530u + 7.53289
a
1
=
0.00882879u
228
− 0.00585265u
227
+ ··· + 8.93288u + 11.2640
0.00101762u
228
− 0.00257083u
227
+ ··· + 10.1225u + 8.25939
a
11
=
u
u
3
+ u
a
5
=
−0.00189729u
228
− 0.00136916u
227
+ ··· + 12.3347u + 4.76550
−0.00128529u
228
+ 0.00117240u
227
+ ··· − 2.18353u − 1.57035
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0187149u
228
− 0.0269520u
227
+ ··· + 500.292u + 157.998
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
229
+ 13u
228
+ ··· − 211u + 4
c
2
u
229
+ u
228
+ ··· + 22552586u − 1584023
c
3
u
229
− 9u
228
+ ··· − 2711301018u − 134641844
c
4
7(7u
229
− 72u
228
+ ··· − 235032u + 85717)
c
5
7(7u
229
− 79u
228
+ ··· + 1.39432 × 10
9
u + 5.30079 × 10
7
)
c
6
u
229
− 16u
228
+ ··· − 127u + 14
c
7
, c
11
u
229
− u
228
+ ··· − 473u − 1849
c
8
7(7u
229
− 34u
228
+ ··· + 4u − 1)
c
9
7(7u
229
− 69u
228
+ ··· − 3.58247 × 10
13
u − 6.39172 × 10
12
)
c
10
u
229
− 13u
228
+ ··· + 14718u − 497
c
12
u
229
+ 4u
227
+ ··· + 603279267u + 17477887
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
229
− 25y
228
+ ··· − 1479y −16
c
2
y
229
− 57y
228
+ ··· + 343601616258474y −2509128864529
c
3
y
229
+ 11y
228
+ ··· + 2.46 × 10
19
y −1.81 × 10
16
c
4
49(49y
229
− 1978y
228
+ ··· + 8.37639 × 10
11
y −7.34740 × 10
9
)
c
5
49(49y
229
− 1733y
228
+ ··· + 1.47012 × 10
18
y −2.80983 × 10
15
)
c
6
y
229
− 30y
228
+ ··· − 50315y −196
c
7
, c
11
y
229
+ 105y
228
+ ··· − 189798001y −3418801
c
8
49(49y
229
+ 734y
228
+ ··· + 264y −1)
c
9
49(49y
229
+ 6369y
228
+ ··· + 3.98090 × 10
27
y −4.08541 × 10
25
)
c
10
y
229
+ 11y
228
+ ··· + 96513510y −247009
c
12
y
229
+ 8y
228
+ ··· − 17329253455415529y −305476533984769
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.906958 + 0.409673I
a = 0.116480 + 0.115295I
b = 1.066970 − 0.758273I
−1.44153 + 7.88127I 0
u = 0.906958 − 0.409673I
a = 0.116480 − 0.115295I
b = 1.066970 + 0.758273I
−1.44153 − 7.88127I 0
u = −0.474703 + 0.889311I
a = −1.65106 + 0.72293I
b = −0.610238 − 0.110691I
0.18145 + 3.52728I 0
u = −0.474703 − 0.889311I
a = −1.65106 − 0.72293I
b = −0.610238 + 0.110691I
0.18145 − 3.52728I 0
u = 0.264499 + 0.974265I
a = 0.03961 + 1.82145I
b = −0.259492 − 0.091492I
−0.36760 + 2.12715I 0
u = 0.264499 − 0.974265I
a = 0.03961 − 1.82145I
b = −0.259492 + 0.091492I
−0.36760 − 2.12715I 0
u = −0.502388 + 0.879806I
a = 4.58739 + 2.40439I
b = 0.194447 − 0.110337I
−0.00477725 − 0.01159600I 0
u = −0.502388 − 0.879806I
a = 4.58739 − 2.40439I
b = 0.194447 + 0.110337I
−0.00477725 + 0.01159600I 0
u = 0.271744 + 0.941972I
a = 0.972223 + 0.468581I
b = −1.98624 + 0.01846I
−0.93497 − 6.19073I 0
u = 0.271744 − 0.941972I
a = 0.972223 − 0.468581I
b = −1.98624 − 0.01846I
−0.93497 + 6.19073I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.425560 + 0.881710I
a = 0.25405 − 2.12175I
b = 1.61719 + 0.26169I
4.68790 − 1.75468I 0
u = 0.425560 − 0.881710I
a = 0.25405 + 2.12175I
b = 1.61719 − 0.26169I
4.68790 + 1.75468I 0
u = 0.276047 + 0.938953I
a = −1.264410 + 0.427067I
b = −0.917140 − 0.209970I
−0.36391 − 4.29694I 0
u = 0.276047 − 0.938953I
a = −1.264410 − 0.427067I
b = −0.917140 + 0.209970I
−0.36391 + 4.29694I 0
u = −0.822025 + 0.608325I
a = 0.376375 − 0.023401I
b = 0.896681 − 0.370881I
−3.09357 + 4.19138I 0
u = −0.822025 − 0.608325I
a = 0.376375 + 0.023401I
b = 0.896681 + 0.370881I
−3.09357 − 4.19138I 0
u = −0.332020 + 0.912989I
a = 0.244543 − 1.248450I
b = 0.720856 + 0.831454I
1.39437 + 0.84425I 0
u = −0.332020 − 0.912989I
a = 0.244543 + 1.248450I
b = 0.720856 − 0.831454I
1.39437 − 0.84425I 0
u = −0.312832 + 0.919047I
a = −0.26654 + 2.16797I
b = 1.63479 − 0.33518I
4.67033 + 1.30064I 0
u = −0.312832 − 0.919047I
a = −0.26654 − 2.16797I
b = 1.63479 + 0.33518I
4.67033 − 1.30064I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.539252 + 0.804148I
a = −0.168601 + 1.042970I
b = −0.650438 − 0.441958I
−0.011311 + 0.518705I 0
u = −0.539252 − 0.804148I
a = −0.168601 − 1.042970I
b = −0.650438 + 0.441958I
−0.011311 − 0.518705I 0
u = 0.830682 + 0.482859I
a = 0.152105 + 0.135066I
b = −1.122120 + 0.780990I
−4.56627 + 2.00715I 0
u = 0.830682 − 0.482859I
a = 0.152105 − 0.135066I
b = −1.122120 − 0.780990I
−4.56627 − 2.00715I 0
u = 0.927295 + 0.240852I
a = −0.490518 − 0.991046I
b = 0.281663 − 0.706663I
−4.41110 − 4.72183I 0
u = 0.927295 − 0.240852I
a = −0.490518 + 0.991046I
b = 0.281663 + 0.706663I
−4.41110 + 4.72183I 0
u = −0.440481 + 0.949602I
a = 0.638864 − 0.499262I
b = 0.478186 + 0.204843I
0.11110 + 3.61465I 0
u = −0.440481 − 0.949602I
a = 0.638864 + 0.499262I
b = 0.478186 − 0.204843I
0.11110 − 3.61465I 0
u = 0.683211 + 0.664281I
a = −0.115211 + 0.449876I
b = −1.45747 + 0.68398I
−3.97806 + 3.23056I 0
u = 0.683211 − 0.664281I
a = −0.115211 − 0.449876I
b = −1.45747 − 0.68398I
−3.97806 − 3.23056I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.455778 + 0.836071I
a = −0.67024 − 2.88161I
b = −0.286861 + 0.224600I
−0.019576 + 0.314170I 0
u = −0.455778 − 0.836071I
a = −0.67024 + 2.88161I
b = −0.286861 − 0.224600I
−0.019576 − 0.314170I 0
u = −0.325546 + 0.894225I
a = −0.16841 + 2.63260I
b = 0.373360 − 1.077690I
1.31358 + 1.93521I 0
u = −0.325546 − 0.894225I
a = −0.16841 − 2.63260I
b = 0.373360 + 1.077690I
1.31358 − 1.93521I 0
u = −0.248454 + 1.024870I
a = −1.00564 − 1.28481I
b = 1.03140 + 1.16936I
1.85551 + 5.08408I 0
u = −0.248454 − 1.024870I
a = −1.00564 + 1.28481I
b = 1.03140 − 1.16936I
1.85551 − 5.08408I 0
u = 0.536647 + 0.913795I
a = −1.106140 + 0.142528I
b = 0.809525 − 0.757157I
3.73635 − 2.80562I 0
u = 0.536647 − 0.913795I
a = −1.106140 − 0.142528I
b = 0.809525 + 0.757157I
3.73635 + 2.80562I 0
u = −1.061100 + 0.094815I
a = 0.345944 − 0.446422I
b = 0.636598 − 0.519522I
−3.23032 + 2.65620I 0
u = −1.061100 − 0.094815I
a = 0.345944 + 0.446422I
b = 0.636598 + 0.519522I
−3.23032 − 2.65620I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.508447 + 0.937718I
a = −1.112310 + 0.527044I
b = 0.875106 − 0.940988I
1.72706 − 6.16112I 0
u = 0.508447 − 0.937718I
a = −1.112310 − 0.527044I
b = 0.875106 + 0.940988I
1.72706 + 6.16112I 0
u = −0.863275 + 0.300409I
a = 0.209663 + 0.207516I
b = −0.576860 + 0.238142I
−1.76315 + 0.27351I 0
u = −0.863275 − 0.300409I
a = 0.209663 − 0.207516I
b = −0.576860 − 0.238142I
−1.76315 − 0.27351I 0
u = −1.092280 + 0.044489I
a = 0.0974631 − 0.0573280I
b = 0.898989 + 0.705326I
−2.52315 − 7.59480I 0
u = −1.092280 − 0.044489I
a = 0.0974631 + 0.0573280I
b = 0.898989 − 0.705326I
−2.52315 + 7.59480I 0
u = 0.386860 + 1.033150I
a = 0.03958 − 2.19069I
b = 0.573063 + 0.673251I
3.62214 − 6.57281I 0
u = 0.386860 − 1.033150I
a = 0.03958 + 2.19069I
b = 0.573063 − 0.673251I
3.62214 + 6.57281I 0
u = 0.502491 + 0.994278I
a = −0.55113 + 2.15848I
b = −1.27318 − 1.71367I
−1.91900 − 6.09371I 0
u = 0.502491 − 0.994278I
a = −0.55113 − 2.15848I
b = −1.27318 + 1.71367I
−1.91900 + 6.09371I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.855567 + 0.204238I
a = 0.552613 − 0.445744I
b = −0.534503 + 0.774141I
0.79463 + 8.19453I 0
u = 0.855567 − 0.204238I
a = 0.552613 + 0.445744I
b = −0.534503 − 0.774141I
0.79463 − 8.19453I 0
u = −1.030600 + 0.444233I
a = 0.121196 + 0.177869I
b = −0.680728 − 0.939654I
1.13210 + 1.35261I 0
u = −1.030600 − 0.444233I
a = 0.121196 − 0.177869I
b = −0.680728 + 0.939654I
1.13210 − 1.35261I 0
u = −0.482819 + 1.016470I
a = −0.03294 − 2.18683I
b = −1.110350 + 0.701414I
−3.79481 + 3.20020I 0
u = −0.482819 − 1.016470I
a = −0.03294 + 2.18683I
b = −1.110350 − 0.701414I
−3.79481 − 3.20020I 0
u = −0.974377 + 0.565785I
a = 0.649757 − 0.218635I
b = 0.601626 + 0.039810I
−3.37774 + 2.27922I 0
u = −0.974377 − 0.565785I
a = 0.649757 + 0.218635I
b = 0.601626 − 0.039810I
−3.37774 − 2.27922I 0
u = 0.584896 + 0.972443I
a = −0.42928 + 2.18595I
b = −1.37812 − 0.79389I
−3.03322 − 8.13254I 0
u = 0.584896 − 0.972443I
a = −0.42928 − 2.18595I
b = −1.37812 + 0.79389I
−3.03322 + 8.13254I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.716867 + 0.880472I
a = 0.100328 + 0.747463I
b = 0.371534 + 0.146556I
−2.26082 + 1.58191I 0
u = −0.716867 − 0.880472I
a = 0.100328 − 0.747463I
b = 0.371534 − 0.146556I
−2.26082 − 1.58191I 0
u = 0.001943 + 1.137920I
a = −0.85471 + 1.45115I
b = 0.741887 − 0.879078I
6.48509 + 2.57747I 0
u = 0.001943 − 1.137920I
a = −0.85471 − 1.45115I
b = 0.741887 + 0.879078I
6.48509 − 2.57747I 0
u = 0.272522 + 1.106510I
a = 0.20628 − 1.62787I
b = 0.881192 + 1.037480I
4.36995 − 0.05146I 0
u = 0.272522 − 1.106510I
a = 0.20628 + 1.62787I
b = 0.881192 − 1.037480I
4.36995 + 0.05146I 0
u = 0.497843 + 1.035330I
a = 0.62877 − 1.72907I
b = 0.90099 + 1.86196I
−2.16273 + 0.42183I 0
u = 0.497843 − 1.035330I
a = 0.62877 + 1.72907I
b = 0.90099 − 1.86196I
−2.16273 − 0.42183I 0
u = 0.285034 + 0.796830I
a = 1.59855 + 1.10106I
b = −1.112330 − 0.048872I
−1.30719 + 3.77516I 0
u = 0.285034 − 0.796830I
a = 1.59855 − 1.10106I
b = −1.112330 + 0.048872I
−1.30719 − 3.77516I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.344861 + 1.108890I
a = 1.32475 + 0.96285I
b = −0.95078 − 1.79267I
2.45086 − 4.59135I 0
u = −0.344861 − 1.108890I
a = 1.32475 − 0.96285I
b = −0.95078 + 1.79267I
2.45086 + 4.59135I 0
u = −0.881179 + 0.786730I
a = 0.351608 + 0.436597I
b = 0.624131 − 0.448803I
0.06453 + 1.96021I 0
u = −0.881179 − 0.786730I
a = 0.351608 − 0.436597I
b = 0.624131 + 0.448803I
0.06453 − 1.96021I 0
u = 0.462486 + 1.092750I
a = 1.070460 + 0.181697I
b = −2.09762 + 0.99837I
−3.11419 − 3.64453I 0
u = 0.462486 − 1.092750I
a = 1.070460 − 0.181697I
b = −2.09762 − 0.99837I
−3.11419 + 3.64453I 0
u = 0.727028 + 0.938990I
a = −0.015036 − 0.455990I
b = 1.60170 − 0.69071I
1.02645 + 2.44142I 0
u = 0.727028 − 0.938990I
a = −0.015036 + 0.455990I
b = 1.60170 + 0.69071I
1.02645 − 2.44142I 0
u = 0.548405 + 0.588873I
a = 0.874744 + 0.778478I
b = −1.31613 + 0.87953I
−3.13010 + 1.83306I 0
u = 0.548405 − 0.588873I
a = 0.874744 − 0.778478I
b = −1.31613 − 0.87953I
−3.13010 − 1.83306I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.521440 + 1.078480I
a = −0.10948 − 2.04896I
b = −2.05622 + 1.09822I
1.33858 + 11.79630I 0
u = −0.521440 − 1.078480I
a = −0.10948 + 2.04896I
b = −2.05622 − 1.09822I
1.33858 − 11.79630I 0
u = −0.603922 + 1.036120I
a = −0.271634 − 1.279790I
b = −0.444902 + 0.542344I
0.90470 + 3.89160I 0
u = −0.603922 − 1.036120I
a = −0.271634 + 1.279790I
b = −0.444902 − 0.542344I
0.90470 − 3.89160I 0
u = 0.204864 + 1.182170I
a = −0.29452 − 1.68308I
b = 0.741912 + 0.897270I
6.58617 − 3.36957I 0
u = 0.204864 − 1.182170I
a = −0.29452 + 1.68308I
b = 0.741912 − 0.897270I
6.58617 + 3.36957I 0
u = −0.413400 + 1.127350I
a = −0.22340 + 1.91738I
b = 1.40119 − 1.19041I
1.28264 + 6.84715I 0
u = −0.413400 − 1.127350I
a = −0.22340 − 1.91738I
b = 1.40119 + 1.19041I
1.28264 − 6.84715I 0
u = 0.524133 + 1.080630I
a = 0.12274 − 2.05744I
b = 1.09068 + 1.09578I
−3.17523 − 12.60530I 0
u = 0.524133 − 1.080630I
a = 0.12274 + 2.05744I
b = 1.09068 − 1.09578I
−3.17523 + 12.60530I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.491996 + 1.106420I
a = −0.635403 + 0.098067I
b = −1.141800 + 0.103773I
−3.24360 − 3.76824I 0
u = 0.491996 − 1.106420I
a = −0.635403 − 0.098067I
b = −1.141800 − 0.103773I
−3.24360 + 3.76824I 0
u = −0.657534 + 1.021660I
a = 0.74158 + 1.26501I
b = 0.599931 − 0.216759I
−1.94255 + 3.48862I 0
u = −0.657534 − 1.021660I
a = 0.74158 − 1.26501I
b = 0.599931 + 0.216759I
−1.94255 − 3.48862I 0
u = −0.704744 + 0.342394I
a = 0.598345 + 0.433707I
b = −0.397487 + 0.234388I
−1.73414 + 0.42031I 0
u = −0.704744 − 0.342394I
a = 0.598345 − 0.433707I
b = −0.397487 − 0.234388I
−1.73414 − 0.42031I 0
u = 0.392679 + 1.153440I
a = 0.451564 − 1.175000I
b = 0.419492 + 1.107660I
4.07026 − 0.23665I 0
u = 0.392679 − 1.153440I
a = 0.451564 + 1.175000I
b = 0.419492 − 1.107660I
4.07026 + 0.23665I 0
u = 0.559349 + 1.086500I
a = 0.37419 − 1.62828I
b = 0.620678 + 0.330927I
−2.57643 − 8.94798I 0
u = 0.559349 − 1.086500I
a = 0.37419 + 1.62828I
b = 0.620678 − 0.330927I
−2.57643 + 8.94798I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.623648 + 1.051540I
a = −0.41061 + 1.89133I
b = −1.21628 − 1.09040I
−2.90172 − 7.35977I 0
u = 0.623648 − 1.051540I
a = −0.41061 − 1.89133I
b = −1.21628 + 1.09040I
−2.90172 + 7.35977I 0
u = −0.505282 + 1.133330I
a = 1.57995 + 0.19432I
b = −2.06261 − 1.90658I
−0.48305 + 12.21950I 0
u = −0.505282 − 1.133330I
a = 1.57995 − 0.19432I
b = −2.06261 + 1.90658I
−0.48305 − 12.21950I 0
u = 0.708735 + 0.271454I
a = 0.328930 + 0.522119I
b = −0.420112 + 0.981316I
0.10838 + 2.96781I 0
u = 0.708735 − 0.271454I
a = 0.328930 − 0.522119I
b = −0.420112 − 0.981316I
0.10838 − 2.96781I 0
u = 0.554969 + 1.115840I
a = 1.093910 − 0.222214I
b = 0.865301 + 0.173101I
−1.13669 − 13.27950I 0
u = 0.554969 − 1.115840I
a = 1.093910 + 0.222214I
b = 0.865301 − 0.173101I
−1.13669 + 13.27950I 0
u = 0.541335 + 1.124640I
a = −0.76257 + 1.56292I
b = −0.70017 − 1.67069I
2.54978 − 7.72927I 0
u = 0.541335 − 1.124640I
a = −0.76257 − 1.56292I
b = −0.70017 + 1.67069I
2.54978 + 7.72927I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.280334 + 1.219630I
a = −0.034098 − 1.017110I
b = −0.246460 + 1.146720I
1.60736 + 2.19808I 0
u = −0.280334 − 1.219630I
a = −0.034098 + 1.017110I
b = −0.246460 − 1.146720I
1.60736 − 2.19808I 0
u = 0.187277 + 1.250400I
a = 0.183226 + 0.515366I
b = 1.195310 − 0.568096I
0.95424 + 5.17065I 0
u = 0.187277 − 1.250400I
a = 0.183226 − 0.515366I
b = 1.195310 + 0.568096I
0.95424 − 5.17065I 0
u = −0.496784 + 1.168490I
a = −0.848633 − 0.344984I
b = 1.54198 + 1.32968I
−1.71606 + 3.97059I 0
u = −0.496784 − 1.168490I
a = −0.848633 + 0.344984I
b = 1.54198 − 1.32968I
−1.71606 − 3.97059I 0
u = −1.175100 + 0.486185I
a = −0.0247902 − 0.0481327I
b = −1.11039 − 1.04334I
−3.5144 − 15.9740I 0
u = −1.175100 − 0.486185I
a = −0.0247902 + 0.0481327I
b = −1.11039 + 1.04334I
−3.5144 + 15.9740I 0
u = 0.619812 + 0.375116I
a = 1.06651 + 0.93827I
b = 0.795310 + 0.003165I
−4.61305 + 4.21927I 0
u = 0.619812 − 0.375116I
a = 1.06651 − 0.93827I
b = 0.795310 − 0.003165I
−4.61305 − 4.21927I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.360511 + 0.618781I
a = −0.491556 − 0.180722I
b = −1.297180 − 0.412313I
−5.19544 + 0.55391I 0
u = −0.360511 − 0.618781I
a = −0.491556 + 0.180722I
b = −1.297180 + 0.412313I
−5.19544 − 0.55391I 0
u = 0.530239 + 1.171340I
a = −0.540358 − 0.291941I
b = 0.345501 − 0.299130I
−2.52764 + 5.11610I 0
u = 0.530239 − 1.171340I
a = −0.540358 + 0.291941I
b = 0.345501 + 0.299130I
−2.52764 − 5.11610I 0
u = 0.649694 + 0.276206I
a = 2.77171 − 1.42666I
b = 0.540666 − 0.502818I
−3.46813 + 8.52907I 0
u = 0.649694 − 0.276206I
a = 2.77171 + 1.42666I
b = 0.540666 + 0.502818I
−3.46813 − 8.52907I 0
u = −0.574654 + 1.163260I
a = 0.985421 + 0.340376I
b = 0.871306 − 0.190630I
−1.92793 + 5.23828I 0
u = −0.574654 − 1.163260I
a = 0.985421 − 0.340376I
b = 0.871306 + 0.190630I
−1.92793 − 5.23828I 0
u = −0.325185 + 1.259550I
a = 0.363230 − 0.549553I
b = −2.03094 + 0.06515I
0.55014 − 3.77548I 0
u = −0.325185 − 1.259550I
a = 0.363230 + 0.549553I
b = −2.03094 − 0.06515I
0.55014 + 3.77548I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.572487 + 1.173140I
a = −0.30851 + 1.74636I
b = −0.584321 − 1.102290I
3.59458 − 13.38720I 0
u = 0.572487 − 1.173140I
a = −0.30851 − 1.74636I
b = −0.584321 + 1.102290I
3.59458 + 13.38720I 0
u = 0.587014 + 1.166200I
a = −0.381946 + 0.589784I
b = −0.281455 − 0.102161I
1.99143 − 0.02870I 0
u = 0.587014 − 1.166200I
a = −0.381946 − 0.589784I
b = −0.281455 + 0.102161I
1.99143 + 0.02870I 0
u = 0.512286 + 0.466442I
a = −0.245867 + 0.108013I
b = 1.200040 − 0.707497I
−5.07828 + 8.26864I 0
u = 0.512286 − 0.466442I
a = −0.245867 − 0.108013I
b = 1.200040 + 0.707497I
−5.07828 − 8.26864I 0
u = −0.442518 + 1.232830I
a = 0.515268 − 0.390577I
b = −0.674760 + 0.021847I
−3.01948 + 3.61413I 0
u = −0.442518 − 1.232830I
a = 0.515268 + 0.390577I
b = −0.674760 − 0.021847I
−3.01948 − 3.61413I 0
u = −0.687406 + 0.060035I
a = 2.71865 + 0.38950I
b = 0.585965 + 0.750059I
−4.90051 − 0.39494I 0
u = −0.687406 − 0.060035I
a = 2.71865 − 0.38950I
b = 0.585965 − 0.750059I
−4.90051 + 0.39494I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.050812 + 1.310600I
a = −0.644467 + 0.962774I
b = 0.564064 − 0.767917I
4.74285 + 4.88143I 0
u = 0.050812 − 1.310600I
a = −0.644467 − 0.962774I
b = 0.564064 + 0.767917I
4.74285 − 4.88143I 0
u = 0.646446 + 1.144660I
a = 0.37477 − 1.79929I
b = 1.13897 + 0.95714I
0.77917 − 13.57310I 0
u = 0.646446 − 1.144660I
a = 0.37477 + 1.79929I
b = 1.13897 − 0.95714I
0.77917 + 13.57310I 0
u = 0.115431 + 0.673993I
a = 1.36946 − 1.33804I
b = −0.138965 + 0.931232I
0.52679 + 2.12111I 0
u = 0.115431 − 0.673993I
a = 1.36946 + 1.33804I
b = −0.138965 − 0.931232I
0.52679 − 2.12111I 0
u = 1.219760 + 0.498630I
a = 0.0581481 + 0.0694450I
b = −1.03412 + 1.13498I
−4.86335 + 7.32809I 0
u = 1.219760 − 0.498630I
a = 0.0581481 − 0.0694450I
b = −1.03412 − 1.13498I
−4.86335 − 7.32809I 0
u = 0.841360 + 1.014940I
a = 0.85499 − 1.59429I
b = 1.38493 + 0.92988I
1.12587 − 8.65816I 0
u = 0.841360 − 1.014940I
a = 0.85499 + 1.59429I
b = 1.38493 − 0.92988I
1.12587 + 8.65816I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.179734 + 0.651471I
a = −1.27851 + 0.68712I
b = 1.65168 + 0.48073I
−0.83124 − 4.08696I 0
u = −0.179734 − 0.651471I
a = −1.27851 − 0.68712I
b = 1.65168 − 0.48073I
−0.83124 + 4.08696I 0
u = −0.158139 + 1.318910I
a = 0.608249 + 1.129930I
b = −0.187800 − 0.994373I
7.26540 + 4.87993I 0
u = −0.158139 − 1.318910I
a = 0.608249 − 1.129930I
b = −0.187800 + 0.994373I
7.26540 − 4.87993I 0
u = −0.675398 + 1.147530I
a = −0.441176 − 0.338815I
b = 0.368057 + 0.751310I
1.45359 + 4.40130I 0
u = −0.675398 − 1.147530I
a = −0.441176 + 0.338815I
b = 0.368057 − 0.751310I
1.45359 − 4.40130I 0
u = 0.118138 + 0.650649I
a = −1.16260 + 1.10002I
b = −1.000170 − 0.504791I
−1.25477 − 2.58890I 0
u = 0.118138 − 0.650649I
a = −1.16260 − 1.10002I
b = −1.000170 + 0.504791I
−1.25477 + 2.58890I 0
u = 0.905220 + 0.998015I
a = −0.510512 + 0.436722I
b = −0.193686 − 0.374961I
0.78243 − 6.40133I 0
u = 0.905220 − 0.998015I
a = −0.510512 − 0.436722I
b = −0.193686 + 0.374961I
0.78243 + 6.40133I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.339687 + 0.550024I
a = 0.293902 + 0.438593I
b = 1.093250 + 0.345602I
−4.59296 − 8.98709I 0
u = 0.339687 − 0.550024I
a = 0.293902 − 0.438593I
b = 1.093250 − 0.345602I
−4.59296 + 8.98709I 0
u = 0.240229 + 1.341060I
a = 0.654067 − 0.959220I
b = 0.088470 + 0.807045I
5.86194 + 4.15009I 0
u = 0.240229 − 1.341060I
a = 0.654067 + 0.959220I
b = 0.088470 − 0.807045I
5.86194 − 4.15009I 0
u = −0.514654 + 1.261720I
a = −0.076930 + 1.233380I
b = 1.14737 − 1.07873I
0.84157 + 7.73617I 0
u = −0.514654 − 1.261720I
a = −0.076930 − 1.233380I
b = 1.14737 + 1.07873I
0.84157 − 7.73617I 0
u = −0.653861 + 1.197330I
a = 0.073252 − 0.751821I
b = −0.457293 + 0.328628I
0.96423 + 5.38607I 0
u = −0.653861 − 1.197330I
a = 0.073252 + 0.751821I
b = −0.457293 − 0.328628I
0.96423 − 5.38607I 0
u = −0.464878 + 0.432268I
a = −0.21898 − 2.56225I
b = −1.50649 − 0.63070I
−0.62172 − 7.51909I 0
u = −0.464878 − 0.432268I
a = −0.21898 + 2.56225I
b = −1.50649 + 0.63070I
−0.62172 + 7.51909I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.567938 + 1.247760I
a = 0.12040 + 1.65871I
b = 1.15760 − 1.01081I
1.08778 + 13.19630I 0
u = −0.567938 − 1.247760I
a = 0.12040 − 1.65871I
b = 1.15760 + 1.01081I
1.08778 − 13.19630I 0
u = −0.626067 + 0.015567I
a = −3.65913 − 1.13062I
b = −1.016600 − 0.955930I
−3.28439 + 7.93333I 0
u = −0.626067 − 0.015567I
a = −3.65913 + 1.13062I
b = −1.016600 + 0.955930I
−3.28439 − 7.93333I 0
u = −1.290130 + 0.492764I
a = 0.0678845 − 0.0069204I
b = 1.003830 + 0.980191I
−4.87955 − 6.11042I 0
u = −1.290130 − 0.492764I
a = 0.0678845 + 0.0069204I
b = 1.003830 − 0.980191I
−4.87955 + 6.11042I 0
u = −0.184714 + 1.377160I
a = 0.373286 − 1.328840I
b = −0.59170 + 1.44235I
3.99308 + 3.52022I 0
u = −0.184714 − 1.377160I
a = 0.373286 + 1.328840I
b = −0.59170 − 1.44235I
3.99308 − 3.52022I 0
u = −0.451961 + 0.399880I
a = 0.229732 − 0.270476I
b = −1.177890 + 0.224397I
−5.54311 + 0.28160I 0
u = −0.451961 − 0.399880I
a = 0.229732 + 0.270476I
b = −1.177890 − 0.224397I
−5.54311 − 0.28160I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.597938 + 1.273550I
a = −0.28168 − 1.51181I
b = −0.781362 + 1.161210I
4.01985 + 4.93406I 0
u = −0.597938 − 1.273550I
a = −0.28168 + 1.51181I
b = −0.781362 − 1.161210I
4.01985 − 4.93406I 0
u = 0.388482 + 0.423014I
a = 1.30124 − 0.72593I
b = 0.191033 + 0.869736I
0.58315 + 2.07889I −4.00000 − 4.68459I
u = 0.388482 − 0.423014I
a = 1.30124 + 0.72593I
b = 0.191033 − 0.869736I
0.58315 − 2.07889I −4.00000 + 4.68459I
u = −0.14943 + 1.42104I
a = 0.327068 − 1.236130I
b = −0.436791 + 1.344920I
3.96822 + 3.56519I 0
u = −0.14943 − 1.42104I
a = 0.327068 + 1.236130I
b = −0.436791 − 1.344920I
3.96822 − 3.56519I 0
u = 0.264521 + 0.504332I
a = −2.81221 − 0.60939I
b = 1.43555 − 0.51127I
−4.03685 − 4.31979I −14.6906 + 6.6158I
u = 0.264521 − 0.504332I
a = −2.81221 + 0.60939I
b = 1.43555 + 0.51127I
−4.03685 + 4.31979I −14.6906 − 6.6158I
u = −0.74371 + 1.23572I
a = −0.42548 − 1.57816I
b = −1.30117 + 1.15820I
−1.0816 + 22.7813I 0
u = −0.74371 − 1.23572I
a = −0.42548 + 1.57816I
b = −1.30117 − 1.15820I
−1.0816 − 22.7813I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.29659 + 0.64567I
a = 0.0280902 + 0.0915184I
b = 0.473674 + 0.074156I
−3.48064 + 1.30854I 0
u = −1.29659 − 0.64567I
a = 0.0280902 − 0.0915184I
b = 0.473674 − 0.074156I
−3.48064 − 1.30854I 0
u = 0.74374 + 1.24839I
a = −0.42041 + 1.54455I
b = −1.27619 − 1.25191I
−2.3653 − 14.2523I 0
u = 0.74374 − 1.24839I
a = −0.42041 − 1.54455I
b = −1.27619 + 1.25191I
−2.3653 + 14.2523I 0
u = 0.383983 + 0.371536I
a = 0.789160 + 0.435257I
b = 0.851781 − 0.482726I
1.80543 + 3.36565I −1.20330 − 3.86240I
u = 0.383983 − 0.371536I
a = 0.789160 − 0.435257I
b = 0.851781 + 0.482726I
1.80543 − 3.36565I −1.20330 + 3.86240I
u = 0.475203 + 0.239285I
a = 0.670122 − 0.483216I
b = 0.676496 + 0.560876I
2.45507 − 0.95682I 2.12085 + 3.40331I
u = 0.475203 − 0.239285I
a = 0.670122 + 0.483216I
b = 0.676496 − 0.560876I
2.45507 + 0.95682I 2.12085 − 3.40331I
u = −0.80421 + 1.22975I
a = 0.166290 + 0.698036I
b = 0.753387 − 0.423751I
−1.46617 + 6.08459I 0
u = −0.80421 − 1.22975I
a = 0.166290 − 0.698036I
b = 0.753387 + 0.423751I
−1.46617 − 6.08459I 0
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.379592 + 0.349198I
a = −2.66261 + 4.33711I
b = −0.613223 + 0.372479I
−5.50416 − 0.24441I −16.0868 + 5.6067I
u = 0.379592 − 0.349198I
a = −2.66261 − 4.33711I
b = −0.613223 − 0.372479I
−5.50416 + 0.24441I −16.0868 − 5.6067I
u = −0.76635 + 1.27161I
a = 0.40261 + 1.44122I
b = 1.22158 − 1.05317I
−2.27917 + 13.29770I 0
u = −0.76635 − 1.27161I
a = 0.40261 − 1.44122I
b = 1.22158 + 1.05317I
−2.27917 − 13.29770I 0
u = 0.82175 + 1.24813I
a = 0.124822 − 0.727051I
b = 0.703672 + 0.374860I
−0.39589 − 14.12430I 0
u = 0.82175 − 1.24813I
a = 0.124822 + 0.727051I
b = 0.703672 − 0.374860I
−0.39589 + 14.12430I 0
u = 1.50759
a = −1.54914
b = −1.90626
−7.62823 0
u = −0.487493
a = 0.559144
b = −0.689808
−1.19551 −7.78570
u = 0.79819 + 1.28508I
a = −0.112708 + 0.437236I
b = −0.301504 − 0.211112I
2.34632 − 4.12821I 0
u = 0.79819 − 1.28508I
a = −0.112708 − 0.437236I
b = −0.301504 + 0.211112I
2.34632 + 4.12821I 0
25
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.238448 + 0.421318I
a = −1.83854 + 6.10264I
b = −0.74448 − 1.34720I
−5.32954 + 0.00576I −22.8070 + 5.7292I
u = 0.238448 − 0.421318I
a = −1.83854 − 6.10264I
b = −0.74448 + 1.34720I
−5.32954 − 0.00576I −22.8070 − 5.7292I
u = 1.54186 + 0.11701I
a = 0.0128913 − 0.0479381I
b = −0.091255 − 0.808982I
−1.93888 − 5.54446I 0
u = 1.54186 − 0.11701I
a = 0.0128913 + 0.0479381I
b = −0.091255 + 0.808982I
−1.93888 + 5.54446I 0
u = 0.14420 + 1.54965I
a = 0.276774 + 1.043040I
b = −0.595891 − 1.244810I
4.98065 − 11.79980I 0
u = 0.14420 − 1.54965I
a = 0.276774 − 1.043040I
b = −0.595891 + 1.244810I
4.98065 + 11.79980I 0
u = −0.327073 + 0.294183I
a = −3.23842 − 2.06976I
b = −1.024870 + 0.787905I
−0.43795 + 7.81386I −1.24918 − 6.63006I
u = −0.327073 − 0.294183I
a = −3.23842 + 2.06976I
b = −1.024870 − 0.787905I
−0.43795 − 7.81386I −1.24918 + 6.63006I
u = 0.16067 + 1.57771I
a = −0.097591 − 0.963190I
b = 0.470845 + 1.178820I
4.19482 − 1.17074I 0
u = 0.16067 − 1.57771I
a = −0.097591 + 0.963190I
b = 0.470845 − 1.178820I
4.19482 + 1.17074I 0
26
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.68902
a = 1.31400
b = 1.63955
−6.75080 0
u = −0.15637 + 1.68781I
a = −0.070996 − 0.728473I
b = 0.017411 + 1.056910I
3.63576 − 1.53443I 0
u = −0.15637 − 1.68781I
a = −0.070996 + 0.728473I
b = 0.017411 − 1.056910I
3.63576 + 1.53443I 0
u = −0.246777 + 0.154996I
a = 2.33298 − 0.77968I
b = 0.171204 + 0.690881I
−0.96281 + 3.18231I −2.50774 − 1.70404I
u = −0.246777 − 0.154996I
a = 2.33298 + 0.77968I
b = 0.171204 − 0.690881I
−0.96281 − 3.18231I −2.50774 + 1.70404I
u = −0.042280 + 0.276603I
a = −4.44428 − 12.41500I
b = −0.084141 + 1.402610I
−3.35354 − 8.11717I −21.6720 + 20.8445I
u = −0.042280 − 0.276603I
a = −4.44428 + 12.41500I
b = −0.084141 − 1.402610I
−3.35354 + 8.11717I −21.6720 − 20.8445I
u = 1.54792 + 0.76381I
a = 0.0361230 − 0.0059448I
b = 0.327552 − 0.038317I
−2.49181 + 6.32420I 0
u = 1.54792 − 0.76381I
a = 0.0361230 + 0.0059448I
b = 0.327552 + 0.038317I
−2.49181 − 6.32420I 0
27
II.
I
u
2
= h−2.55×10
91
u
59
−2.66×10
92
u
58
+· · ·+1.33×10
91
b+1.11×10
93
, 6.50×
10
93
u
59
+1.67×10
94
u
58
+· · ·+9.29×10
91
a−1.04×10
94
, u
60
+2u
59
+· · ·−2u−1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−69.9880u
59
− 180.221u
58
+ ··· + 225.627u + 112.415
1.91846u
59
+ 20.0248u
58
+ ··· − 19.5670u − 83.7959
a
8
=
1
u
2
a
9
=
102.677u
59
+ 210.005u
58
+ ··· − 485.634u − 46.6793
22.2798u
59
+ 38.1364u
58
+ ··· − 87.9445u + 18.7902
a
2
=
−68.0696u
59
− 160.196u
58
+ ··· + 206.060u + 28.6186
1.91846u
59
+ 20.0248u
58
+ ··· − 19.5670u − 83.7959
a
10
=
−84.4488u
59
− 209.675u
58
+ ··· + 1012.51u + 257.671
32.2664u
59
+ 40.4505u
58
+ ··· − 130.850u + 85.5489
a
6
=
−48.3393u
59
− 89.1272u
58
+ ··· + 83.8139u − 8.75673
−24.9796u
59
− 26.6359u
58
+ ··· − 19.2558u − 102.244
a
4
=
133.215u
59
+ 202.720u
58
+ ··· − 542.480u + 209.247
52.3243u
59
+ 106.512u
58
+ ··· − 399.112u − 0.862565
a
1
=
78.9813u
59
+ 187.967u
58
+ ··· − 834.169u − 173.862
−1.57917u
59
+ 7.47530u
58
+ ··· − 101.161u − 44.0109
a
11
=
u
u
3
+ u
a
5
=
−41.3068u
59
− 71.8844u
58
+ ··· + 34.9865u − 26.6643
−19.3259u
59
− 13.0587u
58
+ ··· − 54.6951u − 116.974
(ii) Obstruction class = 1
(iii) Cusp Shapes = −227.159u
59
− 547.164u
58
+ ··· + 1849.68u + 518.601
28
(iv) u-Polynomials at the component
29
Crossings u-Polynomials at each crossing
c
1
u
60
− 14u
59
+ ··· + 14u + 1
c
2
u
60
− 20u
58
+ ··· + 721u − 49
c
3
u
60
+ 16u
59
+ ··· − 230u − 100
c
4
7(7u
60
− 13u
59
+ ··· − 3u + 1)
c
5
7(7u
60
+ 8u
59
+ ··· + 925u + 31)
c
6
u
60
− 5u
59
+ ··· − 103u + 7
c
7
u
60
+ 2u
59
+ ··· − 2u − 1
c
8
7(7u
60
+ 39u
59
+ ··· + 13u − 1)
c
9
7(7u
60
+ 60u
59
+ ··· − 774u − 52)
c
10
u
60
− 6u
59
+ ··· + 61u + 7
c
11
u
60
− 2u
59
+ ··· + 2u − 1
c
12
u
60
+ u
59
+ ··· + 266u + 49
30
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
60
− 28y
59
+ ··· − 74y + 1
c
2
y
60
− 40y
59
+ ··· − 79429y + 2401
c
3
y
60
− 24y
59
+ ··· + 19700y + 10000
c
4
49(49y
60
+ 811y
59
+ ··· − 27y + 1)
c
5
49(49y
60
+ 664y
59
+ ··· − 816689y + 961)
c
6
y
60
− 9y
59
+ ··· − 431y + 49
c
7
, c
11
y
60
+ 26y
59
+ ··· + 62y + 1
c
8
49(49y
60
− 2081y
59
+ ··· − 75y + 1)
c
9
49(49y
60
− 170y
59
+ ··· − 486652y + 2704)
c
10
y
60
− 8y
59
+ ··· + 1543y + 49
c
12
y
60
− 15y
59
+ ··· + 6762y + 2401
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.405698 + 0.890220I
a = 0.13870 + 2.14844I
b = 1.64962 − 0.24323I
4.24161 + 1.67576I 0
u = −0.405698 − 0.890220I
a = 0.13870 − 2.14844I
b = 1.64962 + 0.24323I
4.24161 − 1.67576I 0
u = 0.251859 + 0.939907I
a = −0.45764 − 2.13023I
b = 1.47551 + 0.50144I
5.44578 − 1.04886I 0
u = 0.251859 − 0.939907I
a = −0.45764 + 2.13023I
b = 1.47551 − 0.50144I
5.44578 + 1.04886I 0
u = 0.499578 + 0.834812I
a = −1.39758 − 3.20352I
b = −0.179402 + 0.193066I
0.0155762 − 0.0242982I 0. − 48.6653I
u = 0.499578 − 0.834812I
a = −1.39758 + 3.20352I
b = −0.179402 − 0.193066I
0.0155762 + 0.0242982I 0. + 48.6653I
u = −0.604361 + 0.731311I
a = −1.29693 − 2.65379I
b = −1.30455 + 0.92592I
−0.69056 + 8.92102I 0
u = −0.604361 − 0.731311I
a = −1.29693 + 2.65379I
b = −1.30455 − 0.92592I
−0.69056 − 8.92102I 0
u = 0.070358 + 1.059050I
a = −1.015200 − 0.164829I
b = 0.733591 − 0.176588I
−2.71132 − 4.09425I 0
u = 0.070358 − 1.059050I
a = −1.015200 + 0.164829I
b = 0.733591 + 0.176588I
−2.71132 + 4.09425I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.311360 + 0.855026I
a = −1.56802 + 0.57231I
b = −0.766234 − 0.272296I
−0.75205 − 3.91817I 0. + 5.98305I
u = 0.311360 − 0.855026I
a = −1.56802 − 0.57231I
b = −0.766234 + 0.272296I
−0.75205 + 3.91817I 0. − 5.98305I
u = 1.081440 + 0.179187I
a = −0.194684 − 0.132164I
b = −0.794257 − 0.519602I
−3.37507 − 3.31270I 0
u = 1.081440 − 0.179187I
a = −0.194684 + 0.132164I
b = −0.794257 + 0.519602I
−3.37507 + 3.31270I 0
u = −0.411831 + 0.798747I
a = −0.587314 + 0.518488I
b = 1.50408 − 0.04527I
−0.87800 + 5.39251I 0. − 6.51135I
u = −0.411831 − 0.798747I
a = −0.587314 − 0.518488I
b = 1.50408 + 0.04527I
−0.87800 − 5.39251I 0. + 6.51135I
u = 0.499449 + 0.647660I
a = 0.04335 + 1.61332I
b = 0.512282 − 0.708230I
0.389411 − 0.219467I −2.27769 − 2.13122I
u = 0.499449 − 0.647660I
a = 0.04335 − 1.61332I
b = 0.512282 + 0.708230I
0.389411 + 0.219467I −2.27769 + 2.13122I
u = −0.246246 + 0.779860I
a = −0.809569 − 1.153670I
b = 0.857931 + 0.222330I
2.92929 + 4.61309I 4.80102 − 6.19237I
u = −0.246246 − 0.779860I
a = −0.809569 + 1.153670I
b = 0.857931 − 0.222330I
2.92929 − 4.61309I 4.80102 + 6.19237I
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.318334 + 1.153330I
a = −0.522378 − 0.042599I
b = 1.74520 + 0.44326I
−1.57796 + 4.98226I 0
u = −0.318334 − 1.153330I
a = −0.522378 + 0.042599I
b = 1.74520 − 0.44326I
−1.57796 − 4.98226I 0
u = 0.588121 + 1.046910I
a = −0.552032 + 0.678475I
b = −0.985869 − 0.304491I
−1.68655 − 4.59466I 0
u = 0.588121 − 1.046910I
a = −0.552032 − 0.678475I
b = −0.985869 + 0.304491I
−1.68655 + 4.59466I 0
u = −0.029938 + 1.204800I
a = −0.68739 − 1.29075I
b = 0.390150 + 0.772136I
5.00249 − 3.38015I 0
u = −0.029938 − 1.204800I
a = −0.68739 + 1.29075I
b = 0.390150 − 0.772136I
5.00249 + 3.38015I 0
u = −1.221620 + 0.229004I
a = −0.00467740 − 0.00775316I
b = 0.826093 + 0.898636I
−3.61807 − 6.96414I 0
u = −1.221620 − 0.229004I
a = −0.00467740 + 0.00775316I
b = 0.826093 − 0.898636I
−3.61807 + 6.96414I 0
u = −0.547893 + 1.129490I
a = 0.568909 − 0.284766I
b = −1.51790 − 0.71025I
0.06279 + 12.00860I 0
u = −0.547893 − 1.129490I
a = 0.568909 + 0.284766I
b = −1.51790 + 0.71025I
0.06279 − 12.00860I 0
35
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372200 + 1.198990I
a = 0.506337 + 0.235111I
b = −1.59656 − 0.89009I
1.33776 − 4.46559I 0
u = −0.372200 − 1.198990I
a = 0.506337 − 0.235111I
b = −1.59656 + 0.89009I
1.33776 + 4.46559I 0
u = 0.461144 + 1.210000I
a = 0.13224 + 1.52173I
b = −1.34121 − 1.20743I
1.17234 − 7.58998I 0
u = 0.461144 − 1.210000I
a = 0.13224 − 1.52173I
b = −1.34121 + 1.20743I
1.17234 + 7.58998I 0
u = −0.556281 + 1.189490I
a = −0.360690 − 0.330323I
b = 0.432233 + 0.580010I
2.46404 + 3.53311I 0
u = −0.556281 − 1.189490I
a = −0.360690 + 0.330323I
b = 0.432233 − 0.580010I
2.46404 − 3.53311I 0
u = 1.160020 + 0.621578I
a = −0.325140 + 0.129256I
b = −0.360682 + 0.058927I
−3.23927 − 1.38815I 0
u = 1.160020 − 0.621578I
a = −0.325140 − 0.129256I
b = −0.360682 − 0.058927I
−3.23927 + 1.38815I 0
u = 0.710600 + 1.143560I
a = −0.101356 + 0.708198I
b = −0.320030 − 0.324912I
0.91258 − 5.08481I 0
u = 0.710600 − 1.143560I
a = −0.101356 − 0.708198I
b = −0.320030 + 0.324912I
0.91258 + 5.08481I 0
36
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.621328 + 1.218620I
a = 0.24461 + 1.66396I
b = 1.09061 − 1.03553I
−0.38574 + 13.02280I 0
u = −0.621328 − 1.218620I
a = 0.24461 − 1.66396I
b = 1.09061 + 1.03553I
−0.38574 − 13.02280I 0
u = 0.136557 + 0.570184I
a = 2.29709 + 1.70944I
b = −1.73396 + 0.22988I
−1.77734 + 4.69554I −7.64002 − 9.11529I
u = 0.136557 − 0.570184I
a = 2.29709 − 1.70944I
b = −1.73396 − 0.22988I
−1.77734 − 4.69554I −7.64002 + 9.11529I
u = 0.22024 + 1.40678I
a = −0.277771 − 1.330550I
b = 0.51824 + 1.49656I
3.95510 − 3.40383I 0
u = 0.22024 − 1.40678I
a = −0.277771 + 1.330550I
b = 0.51824 − 1.49656I
3.95510 + 3.40383I 0
u = 0.061739 + 0.508020I
a = −0.30685 + 6.48528I
b = −0.578081 − 1.008190I
−5.03914 + 0.09440I 4.19579 − 1.18250I
u = 0.061739 − 0.508020I
a = −0.30685 − 6.48528I
b = −0.578081 + 1.008190I
−5.03914 − 0.09440I 4.19579 + 1.18250I
u = −0.111454 + 0.458063I
a = −2.69660 − 7.98850I
b = −0.081202 + 1.268250I
−3.20743 − 7.99758I 11.63807 − 6.09672I
u = −0.111454 − 0.458063I
a = −2.69660 + 7.98850I
b = −0.081202 − 1.268250I
−3.20743 + 7.99758I 11.63807 + 6.09672I
37
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.40400 + 0.60865I
a = −0.193460 − 0.097923I
b = −0.342276 + 0.121740I
−2.42309 − 6.23624I 0
u = −1.40400 − 0.60865I
a = −0.193460 + 0.097923I
b = −0.342276 − 0.121740I
−2.42309 + 6.23624I 0
u = −1.56514
a = 1.47637
b = 1.97563
−7.53852 0
u = −0.021034 + 0.394433I
a = −0.035834 − 1.204500I
b = −1.242810 − 0.308665I
−4.96817 − 0.00944I −1.75848 + 1.50331I
u = −0.021034 − 0.394433I
a = −0.035834 + 1.204500I
b = −1.242810 + 0.308665I
−4.96817 + 0.00944I −1.75848 − 1.50331I
u = −0.119337 + 0.362397I
a = 0.611828 − 0.898845I
b = 1.153420 + 0.525984I
−4.44040 − 8.43939I −0.83974 + 3.37088I
u = −0.119337 − 0.362397I
a = 0.611828 + 0.898845I
b = 1.153420 − 0.525984I
−4.44040 + 8.43939I −0.83974 − 3.37088I
u = 1.68261
a = −1.32235
b = −1.61451
−6.77201 0
u = −0.11964 + 1.69318I
a = −0.086104 − 0.751337I
b = 0.075496 + 1.108060I
3.54731 − 1.46395I 0
u = −0.11964 − 1.69318I
a = −0.086104 + 0.751337I
b = 0.075496 − 1.108060I
3.54731 + 1.46395I 0
38
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
60
− 14u
59
+ ··· + 14u + 1)(u
229
+ 13u
228
+ ··· − 211u + 4)
c
2
(u
60
− 20u
58
+ ··· + 721u − 49)
· (u
229
+ u
228
+ ··· + 22552586u − 1584023)
c
3
(u
60
+ 16u
59
+ ··· − 230u − 100)
· (u
229
− 9u
228
+ ··· − 2711301018u − 134641844)
c
4
49(7u
60
− 13u
59
+ ··· − 3u + 1)
· (7u
229
− 72u
228
+ ··· − 235032u + 85717)
c
5
49(7u
60
+ 8u
59
+ ··· + 925u + 31)
· (7u
229
− 79u
228
+ ··· + 1394317795u + 53007850)
c
6
(u
60
− 5u
59
+ ··· − 103u + 7)(u
229
− 16u
228
+ ··· − 127u + 14)
c
7
(u
60
+ 2u
59
+ ··· − 2u − 1)(u
229
− u
228
+ ··· − 473u − 1849)
c
8
49(7u
60
+ 39u
59
+ ··· + 13u − 1)(7u
229
− 34u
228
+ ··· + 4u − 1)
c
9
49(7u
60
+ 60u
59
+ ··· − 774u − 52)
· (7u
229
− 69u
228
+ ··· − 35824679457122u − 6391723061348)
c
10
(u
60
− 6u
59
+ ··· + 61u + 7)(u
229
− 13u
228
+ ··· + 14718u − 497)
c
11
(u
60
− 2u
59
+ ··· + 2u − 1)(u
229
− u
228
+ ··· − 473u − 1849)
c
12
(u
60
+ u
59
+ ··· + 266u + 49)
· (u
229
+ 4u
227
+ ··· + 603279267u + 17477887)
39
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
60
− 28y
59
+ ··· − 74y + 1)(y
229
− 25y
228
+ ··· − 1479y −16)
c
2
(y
60
− 40y
59
+ ··· − 79429y + 2401)
· (y
229
− 57y
228
+ ··· + 343601616258474y −2509128864529)
c
3
(y
60
− 24y
59
+ ··· + 19700y + 10000)
· (y
229
+ 11y
228
+ ··· + 2.46 × 10
19
y −1.81 × 10
16
)
c
4
2401(49y
60
+ 811y
59
+ ··· − 27y + 1)
· (49y
229
− 1978y
228
+ ··· + 837638759056y −7347404089)
c
5
2401(49y
60
+ 664y
59
+ ··· − 816689y + 961)
· (49y
229
− 1733y
228
+ ··· + 1.47 × 10
18
y −2.81 × 10
15
)
c
6
(y
60
− 9y
59
+ ··· − 431y + 49)(y
229
− 30y
228
+ ··· − 50315y −196)
c
7
, c
11
(y
60
+ 26y
59
+ ··· + 62y + 1)
· (y
229
+ 105y
228
+ ··· − 189798001y −3418801)
c
8
2401(49y
60
− 2081y
59
+ ··· − 75y + 1)
· (49y
229
+ 734y
228
+ ··· + 264y −1)
c
9
2401(49y
60
− 170y
59
+ ··· − 486652y + 2704)
· (49y
229
+ 6369y
228
+ ··· + 3.98 × 10
27
y −4.09 × 10
25
)
c
10
(y
60
− 8y
59
+ ··· + 1543y + 49)
· (y
229
+ 11y
228
+ ··· + 96513510y −247009)
c
12
(y
60
− 15y
59
+ ··· + 6762y + 2401)
· (y
229
+ 8y
228
+ ··· − 17329253455415529y −305476533984769)
40
