11a
322
(K11a
322
)
A knot diagram
1
Linearized knot diagam
9 6 1 8 10 2 11 3 7 5 4
Solving Sequence
2,7
6
3,10
5 11 9 1 8 4
c
6
c
2
c
5
c
10
c
9
c
1
c
8
c
4
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.55718 × 10
218
u
92
− 5.35792 × 10
218
u
91
+ ··· + 2.85769 × 10
219
b + 6.67281 × 10
220
,
− 4.75826 × 10
220
u
92
− 1.96732 × 10
221
u
91
+ ··· + 2.65765 × 10
221
a − 7.23028 × 10
221
,
u
93
+ 3u
92
+ ··· + 151u − 93i
I
u
2
= h7565u
17
− 6236u
16
+ ··· + 1467b − 19294, 7565u
17
− 7703u
16
+ ··· + 1467a − 22228,
u
18
+ 4u
16
+ 7u
14
+ u
13
+ 6u
12
+ 5u
11
+ 9u
10
+ 7u
9
+ 23u
8
+ 34u
6
− 7u
5
+ 24u
4
− 5u
3
+ 8u
2
− u + 1i
* 2 irreducible components of dim
C
= 0, with total 111 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
= h1.56 × 10
218
u
92
− 5.36 × 10
218
u
91
+ · · · + 2.86 × 10
219
b + 6.67 ×
10
220
, −4.76 × 10
220
u
92
− 1.97 × 10
221
u
91
+ · · · + 2.66 × 10
221
a − 7.23 ×
10
221
, u
93
+ 3u
92
+ · · · + 151u − 93i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u
2
a
3
=
−u
u
3
+ u
a
10
=
0.179040u
92
+ 0.740246u
91
+ ··· − 38.9739u + 2.72055
−0.0544910u
92
+ 0.187491u
91
+ ··· + 0.717266u − 23.3504
a
5
=
0.367272u
92
+ 1.08675u
91
+ ··· − 47.4264u − 0.976846
0.614416u
92
+ 1.58014u
91
+ ··· − 148.829u + 65.0773
a
11
=
0.368295u
92
+ 1.12010u
91
+ ··· − 50.3896u + 18.6394
−0.280113u
92
− 0.773917u
91
+ ··· + 81.2460u − 42.5382
a
9
=
0.233531u
92
+ 0.552755u
91
+ ··· − 39.6912u + 26.0709
−0.0544910u
92
+ 0.187491u
91
+ ··· + 0.717266u − 23.3504
a
1
=
0.556184u
92
+ 1.87340u
91
+ ··· − 89.5355u − 0.790115
−0.0755262u
92
− 0.326383u
91
+ ··· + 1.89622u + 13.2151
a
8
=
0.0206578u
92
+ 0.0640587u
91
+ ··· − 3.41149u + 8.80765
−0.0463030u
92
+ 0.166139u
91
+ ··· + 6.87334u − 20.0300
a
4
=
−0.0387270u
92
+ 0.417865u
91
+ ··· + 95.5003u − 88.9739
0.131928u
92
+ 0.259721u
91
+ ··· − 44.1127u + 34.0669
a
4
=
−0.0387270u
92
+ 0.417865u
91
+ ··· + 95.5003u − 88.9739
0.131928u
92
+ 0.259721u
91
+ ··· − 44.1127u + 34.0669
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.62307u
92
+ 5.49035u
91
+ ··· − 409.463u + 157.721
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
93
− 5u
92
+ ··· + 72835u − 5673
c
2
, c
6
u
93
+ 3u
92
+ ··· + 151u − 93
c
3
, c
11
u
93
− 5u
92
+ ··· + 201u − 7
c
4
u
93
− 5u
92
+ ··· + 20u − 3
c
5
, c
10
u
93
− u
92
+ ··· − 5563u − 397
c
7
u
93
− 2u
91
+ ··· − 16u − 3
c
8
u
93
+ u
92
+ ··· − 588u − 239
c
9
u
93
− 7u
92
+ ··· − 37161u − 16439
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
93
− 33y
92
+ ··· + 1446332815y −32182929
c
2
, c
6
y
93
+ 51y
92
+ ··· + 26707y −8649
c
3
, c
11
y
93
+ 69y
92
+ ··· + 4155y −49
c
4
y
93
+ 3y
92
+ ··· + 58y −9
c
5
, c
10
y
93
+ 65y
92
+ ··· − 454143y −157609
c
7
y
93
− 4y
92
+ ··· + 94y −9
c
8
y
93
− 17y
92
+ ··· − 6001618y −57121
c
9
y
93
− 9y
92
+ ··· + 5192486461y −270240721
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.322622 + 0.930689I
a = −2.15336 + 0.73375I
b = −0.573278 + 0.461113I
−3.27973 − 4.30614I 0
u = 0.322622 − 0.930689I
a = −2.15336 − 0.73375I
b = −0.573278 − 0.461113I
−3.27973 + 4.30614I 0
u = −0.131902 + 0.954095I
a = −1.77797 − 0.58692I
b = −1.236380 + 0.556414I
3.10875 + 0.58240I 0
u = −0.131902 − 0.954095I
a = −1.77797 + 0.58692I
b = −1.236380 − 0.556414I
3.10875 − 0.58240I 0
u = −0.299211 + 0.900944I
a = 2.54722 + 1.40953I
b = 1.15602 + 1.37213I
0.45952 − 4.22823I 0
u = −0.299211 − 0.900944I
a = 2.54722 − 1.40953I
b = 1.15602 − 1.37213I
0.45952 + 4.22823I 0
u = −0.608017 + 0.715465I
a = 1.24868 − 1.08837I
b = 1.242490 − 0.457719I
−0.03049 + 2.41359I 0
u = −0.608017 − 0.715465I
a = 1.24868 + 1.08837I
b = 1.242490 + 0.457719I
−0.03049 − 2.41359I 0
u = 0.937372 + 0.000279I
a = −0.071937 − 0.342014I
b = 0.987401 + 0.314558I
4.23878 + 6.45548I 0
u = 0.937372 − 0.000279I
a = −0.071937 + 0.342014I
b = 0.987401 − 0.314558I
4.23878 − 6.45548I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.844094 + 0.653935I
a = 0.698181 + 0.068263I
b = −0.243081 + 0.556201I
−1.68544 − 3.00936I 0
u = 0.844094 − 0.653935I
a = 0.698181 − 0.068263I
b = −0.243081 − 0.556201I
−1.68544 + 3.00936I 0
u = 0.366246 + 0.856685I
a = 2.30851 − 0.38298I
b = 1.180700 − 0.617692I
−3.77658 + 0.38693I 0
u = 0.366246 − 0.856685I
a = 2.30851 + 0.38298I
b = 1.180700 + 0.617692I
−3.77658 − 0.38693I 0
u = −1.068810 + 0.000483I
a = 0.305136 − 0.317752I
b = −0.349343 − 0.764786I
−2.91806 + 1.82006I 0
u = −1.068810 − 0.000483I
a = 0.305136 + 0.317752I
b = −0.349343 + 0.764786I
−2.91806 − 1.82006I 0
u = −0.445066 + 0.987704I
a = −2.09200 − 0.52232I
b = −0.553513 − 1.003530I
−0.44062 + 9.04830I 0
u = −0.445066 − 0.987704I
a = −2.09200 + 0.52232I
b = −0.553513 + 1.003530I
−0.44062 − 9.04830I 0
u = −0.539921 + 0.940488I
a = 1.265850 + 0.049756I
b = 0.507207 + 0.197470I
−0.87942 + 2.94273I 0
u = −0.539921 − 0.940488I
a = 1.265850 − 0.049756I
b = 0.507207 − 0.197470I
−0.87942 − 2.94273I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.293670 + 1.064590I
a = −1.40531 − 0.46287I
b = −1.053630 + 0.748164I
3.49041 − 2.34482I 0
u = 0.293670 − 1.064590I
a = −1.40531 + 0.46287I
b = −1.053630 − 0.748164I
3.49041 + 2.34482I 0
u = −0.197477 + 0.859125I
a = −0.06670 − 1.86214I
b = 0.47109 − 2.64628I
0.11047 + 6.51793I 0
u = −0.197477 − 0.859125I
a = −0.06670 + 1.86214I
b = 0.47109 + 2.64628I
0.11047 − 6.51793I 0
u = −0.620927 + 0.950340I
a = −1.34145 + 1.19160I
b = −1.93676 − 0.00311I
5.22424 + 2.46471I 0
u = −0.620927 − 0.950340I
a = −1.34145 − 1.19160I
b = −1.93676 + 0.00311I
5.22424 − 2.46471I 0
u = −1.114510 + 0.270069I
a = −0.159734 − 0.487015I
b = 0.948829 − 0.853586I
0.05288 − 11.48280I 0
u = −1.114510 − 0.270069I
a = −0.159734 + 0.487015I
b = 0.948829 + 0.853586I
0.05288 + 11.48280I 0
u = −0.436496 + 1.069900I
a = −1.20356 + 0.86385I
b = −1.25197 − 0.90240I
5.97802 + 3.41696I 0
u = −0.436496 − 1.069900I
a = −1.20356 − 0.86385I
b = −1.25197 + 0.90240I
5.97802 − 3.41696I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.318884 + 0.770726I
a = 1.183980 + 0.175323I
b = −0.190440 − 0.528926I
2.61018 + 0.55355I 5.97981 + 0.I
u = 0.318884 − 0.770726I
a = 1.183980 − 0.175323I
b = −0.190440 + 0.528926I
2.61018 − 0.55355I 5.97981 + 0.I
u = 0.319146 + 0.760564I
a = 0.498308 + 1.151370I
b = 0.66734 + 1.64554I
−4.14473 − 3.51278I −1.54683 + 9.73709I
u = 0.319146 − 0.760564I
a = 0.498308 − 1.151370I
b = 0.66734 − 1.64554I
−4.14473 + 3.51278I −1.54683 − 9.73709I
u = 1.126650 + 0.344072I
a = 0.024805 + 0.458219I
b = 0.802756 + 0.733051I
−4.77635 + 5.74683I 0
u = 1.126650 − 0.344072I
a = 0.024805 − 0.458219I
b = 0.802756 − 0.733051I
−4.77635 − 5.74683I 0
u = −0.803406 + 0.165006I
a = 0.431389 − 0.253688I
b = −0.291133 − 0.942335I
−2.78159 + 1.95644I 0. − 2.42185I
u = −0.803406 − 0.165006I
a = 0.431389 + 0.253688I
b = −0.291133 + 0.942335I
−2.78159 − 1.95644I 0. + 2.42185I
u = 0.098315 + 0.812310I
a = −2.40378 − 0.73606I
b = −0.486771 + 0.372378I
2.22253 − 2.87184I 5.92800 + 10.27307I
u = 0.098315 − 0.812310I
a = −2.40378 + 0.73606I
b = −0.486771 − 0.372378I
2.22253 + 2.87184I 5.92800 − 10.27307I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.263210 + 1.161530I
a = 0.745326 − 1.002680I
b = 0.436652 + 0.507867I
4.67249 + 3.86717I 0
u = −0.263210 − 1.161530I
a = 0.745326 + 1.002680I
b = 0.436652 − 0.507867I
4.67249 − 3.86717I 0
u = −1.102170 + 0.453309I
a = 0.344660 − 0.282026I
b = 0.587996 − 0.233648I
−1.79025 + 1.21167I 0
u = −1.102170 − 0.453309I
a = 0.344660 + 0.282026I
b = 0.587996 + 0.233648I
−1.79025 − 1.21167I 0
u = 0.374927 + 1.137660I
a = −0.449358 − 0.993803I
b = −1.033240 − 0.031958I
5.66136 − 0.33582I 0
u = 0.374927 − 1.137660I
a = −0.449358 + 0.993803I
b = −1.033240 + 0.031958I
5.66136 + 0.33582I 0
u = −0.172805 + 1.199490I
a = −1.60819 − 0.00472I
b = −1.55467 − 0.72808I
8.09781 + 2.55341I 0
u = −0.172805 − 1.199490I
a = −1.60819 + 0.00472I
b = −1.55467 + 0.72808I
8.09781 − 2.55341I 0
u = 0.067778 + 1.253000I
a = 0.686715 + 0.412175I
b = 0.469935 − 0.266987I
2.03743 + 2.00663I 0
u = 0.067778 − 1.253000I
a = 0.686715 − 0.412175I
b = 0.469935 + 0.266987I
2.03743 − 2.00663I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.723160 + 0.174661I
a = 0.836755 − 0.225299I
b = −0.761338 − 1.042850I
1.92000 + 3.17965I 4.65573 − 4.19725I
u = 0.723160 − 0.174661I
a = 0.836755 + 0.225299I
b = −0.761338 + 1.042850I
1.92000 − 3.17965I 4.65573 + 4.19725I
u = −0.403548 + 1.190460I
a = −0.364495 + 0.144692I
b = −0.418079 − 0.607354I
1.44049 + 2.66870I 0
u = −0.403548 − 1.190460I
a = −0.364495 − 0.144692I
b = −0.418079 + 0.607354I
1.44049 − 2.66870I 0
u = 0.261222 + 0.695240I
a = −0.225493 + 0.262106I
b = −0.276840 − 1.313040I
−4.08056 + 1.50596I 0.83759 + 2.64217I
u = 0.261222 − 0.695240I
a = −0.225493 − 0.262106I
b = −0.276840 + 1.313040I
−4.08056 − 1.50596I 0.83759 − 2.64217I
u = −0.707177 + 0.220909I
a = 0.511993 − 0.477897I
b = 0.437276 + 0.272075I
−1.39598 + 1.17736I −3.93052 − 4.80087I
u = −0.707177 − 0.220909I
a = 0.511993 + 0.477897I
b = 0.437276 − 0.272075I
−1.39598 − 1.17736I −3.93052 + 4.80087I
u = 0.504232 + 1.159730I
a = −1.99380 + 0.16893I
b = −1.55624 + 1.52324I
4.76534 − 7.79767I 0
u = 0.504232 − 1.159730I
a = −1.99380 − 0.16893I
b = −1.55624 − 1.52324I
4.76534 + 7.79767I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.346185 + 1.236500I
a = −0.702997 + 0.404800I
b = −0.464835 + 1.306190I
4.73642 − 6.03450I 0
u = 0.346185 − 1.236500I
a = −0.702997 − 0.404800I
b = −0.464835 − 1.306190I
4.73642 + 6.03450I 0
u = −0.504738 + 0.496846I
a = 0.289551 − 0.207560I
b = −0.28960 + 1.49053I
−1.87848 − 5.13684I 0.46607 + 1.98262I
u = −0.504738 − 0.496846I
a = 0.289551 + 0.207560I
b = −0.28960 − 1.49053I
−1.87848 + 5.13684I 0.46607 − 1.98262I
u = −0.463746 + 1.210540I
a = −1.68232 − 0.35122I
b = −1.33627 − 1.18381I
0.97476 + 6.41730I 0
u = −0.463746 − 1.210540I
a = −1.68232 + 0.35122I
b = −1.33627 + 1.18381I
0.97476 − 6.41730I 0
u = −0.416030 + 1.283650I
a = 1.279510 − 0.430873I
b = 0.913703 + 0.533909I
3.10293 + 5.33107I 0
u = −0.416030 − 1.283650I
a = 1.279510 + 0.430873I
b = 0.913703 − 0.533909I
3.10293 − 5.33107I 0
u = 0.485082 + 1.270200I
a = 1.286330 + 0.485594I
b = 1.140580 − 0.783321I
8.11494 − 11.47080I 0
u = 0.485082 − 1.270200I
a = 1.286330 − 0.485594I
b = 1.140580 + 0.783321I
8.11494 + 11.47080I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.318984 + 1.325490I
a = −1.49667 + 0.72618I
b = −1.52310 + 1.21358I
4.36272 − 6.42244I 0
u = 0.318984 − 1.325490I
a = −1.49667 − 0.72618I
b = −1.52310 − 1.21358I
4.36272 + 6.42244I 0
u = 0.454840 + 1.316880I
a = 1.067410 + 0.460691I
b = 1.218720 − 0.165295I
8.34403 + 1.38464I 0
u = 0.454840 − 1.316880I
a = 1.067410 − 0.460691I
b = 1.218720 + 0.165295I
8.34403 − 1.38464I 0
u = −0.537415 + 0.281055I
a = 1.260790 − 0.030814I
b = −0.910843 + 0.095195I
3.79529 + 0.46350I 6.87686 − 1.81955I
u = −0.537415 − 0.281055I
a = 1.260790 + 0.030814I
b = −0.910843 − 0.095195I
3.79529 − 0.46350I 6.87686 + 1.81955I
u = 1.286610 + 0.581347I
a = −0.050685 − 0.472761I
b = −0.587209 − 0.338343I
−2.62056 − 2.77773I 0
u = 1.286610 − 0.581347I
a = −0.050685 + 0.472761I
b = −0.587209 + 0.338343I
−2.62056 + 2.77773I 0
u = 0.64633 + 1.26191I
a = 1.50927 + 0.08635I
b = 1.32829 − 0.92505I
−1.80023 − 12.03950I 0
u = 0.64633 − 1.26191I
a = 1.50927 − 0.08635I
b = 1.32829 + 0.92505I
−1.80023 + 12.03950I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63602 + 1.27863I
a = 1.61271 − 0.05318I
b = 1.51527 + 1.12304I
3.2415 + 17.6972I 0
u = −0.63602 − 1.27863I
a = 1.61271 + 0.05318I
b = 1.51527 − 1.12304I
3.2415 − 17.6972I 0
u = −0.64483 + 1.27730I
a = 1.322000 − 0.207651I
b = 1.149910 + 0.457616I
1.14741 + 5.18553I 0
u = −0.64483 − 1.27730I
a = 1.322000 + 0.207651I
b = 1.149910 − 0.457616I
1.14741 − 5.18553I 0
u = 0.75806 + 1.21920I
a = −1.019030 − 0.222304I
b = −1.169210 + 0.601044I
−0.38282 − 4.43447I 0
u = 0.75806 − 1.21920I
a = −1.019030 + 0.222304I
b = −1.169210 − 0.601044I
−0.38282 + 4.43447I 0
u = −0.17338 + 1.45635I
a = 0.435396 − 0.500933I
b = 0.629853 + 0.200440I
6.38181 − 6.72088I 0
u = −0.17338 − 1.45635I
a = 0.435396 + 0.500933I
b = 0.629853 − 0.200440I
6.38181 + 6.72088I 0
u = −0.60980 + 1.41004I
a = −1.062230 − 0.285672I
b = −1.02118 − 1.10338I
1.58527 + 7.93902I 0
u = −0.60980 − 1.41004I
a = −1.062230 + 0.285672I
b = −1.02118 + 1.10338I
1.58527 − 7.93902I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.397627 + 0.073937I
a = 2.09557 + 1.13944I
b = 0.067177 − 0.787475I
1.30018 + 2.88591I 1.12552 − 3.03882I
u = 0.397627 − 0.073937I
a = 2.09557 − 1.13944I
b = 0.067177 + 0.787475I
1.30018 − 2.88591I 1.12552 + 3.03882I
u = 0.297157
a = 1.24210
b = −0.580477
0.917664 11.3240
14
II. I
u
2
= h7565u
17
− 6236u
16
+ · · · + 1467b − 19294, 7565u
17
− 7703u
16
+
· · · + 1467a − 22228, u
18
+ 4u
16
+ · · · − u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u
2
a
3
=
−u
u
3
+ u
a
10
=
−5.15678u
17
+ 5.25085u
16
+ ··· − 24.1220u + 15.1520
−5.15678u
17
+ 4.25085u
16
+ ··· − 23.1220u + 13.1520
a
5
=
−10.8609u
17
− 2.02249u
16
+ ··· − 25.5787u + 2.58691
−5.70416u
17
− 2.27335u
16
+ ··· − 7.45671u − 6.56510
a
11
=
0.654397u
17
+ 2.95297u
16
+ ··· + 1.33538u + 1.40900
4.86980u
17
− 0.591684u
16
+ ··· + 11.9291u − 2.95637
a
9
=
u
16
+ 3u
14
+ ··· − u + 2
−5.15678u
17
+ 4.25085u
16
+ ··· − 23.1220u + 13.1520
a
1
=
−5u
17
− 16u
15
+ ··· + 6u
2
− 7u
−6.31766u
17
− 3.29175u
16
+ ··· − 10.0211u − 8.44853
a
8
=
−1.99864u
17
+ 2.59782u
16
+ ··· − 10.4076u + 6.25085
−3.80164u
17
+ 3.48262u
16
+ ··· − 17.3108u + 10.4990
a
4
=
10.3102u
17
− 0.496251u
16
+ ··· + 18.2631u + 4.06885
−5.61145u
17
+ 2.37832u
16
+ ··· − 20.1759u + 9.49284
a
4
=
10.3102u
17
− 0.496251u
16
+ ··· + 18.2631u + 4.06885
−5.61145u
17
+ 2.37832u
16
+ ··· − 20.1759u + 9.49284
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
2194
163
u
17
+
935
163
u
16
+ ··· −
5285
163
u +
3315
163
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
− 2u
16
+ ··· + u + 1
c
2
u
18
+ 4u
16
+ ··· + u + 1
c
3
u
18
+ 2u
17
+ ··· + 13u + 3
c
4
u
18
+ 7u
15
+ ··· + 2u + 1
c
5
u
18
+ 7u
16
+ ··· − 5u + 3
c
6
u
18
+ 4u
16
+ ··· − u + 1
c
7
u
18
− 3u
17
+ ··· + 4u + 1
c
8
u
18
− 4u
16
+ ··· + 8u + 3
c
9
u
18
− 8u
17
+ ··· − 13u + 3
c
10
u
18
+ 7u
16
+ ··· + 5u + 3
c
11
u
18
− 2u
17
+ ··· − 13u + 3
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
− 4y
17
+ ··· − 13y + 1
c
2
, c
6
y
18
+ 8y
17
+ ··· + 15y + 1
c
3
, c
11
y
18
+ 14y
17
+ ··· + 11y + 9
c
4
y
18
+ 8y
16
+ ··· + 4y + 1
c
5
, c
10
y
18
+ 14y
17
+ ··· + 101y + 9
c
7
y
18
+ y
17
+ ··· + 4y + 1
c
8
y
18
− 8y
17
+ ··· − 64y + 9
c
9
y
18
+ 8y
17
+ ··· + 77y + 9
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.350285 + 0.978445I
a = −1.22969 − 1.09369I
b = −1.56223 + 0.28495I
6.43935 − 1.44640I 11.71956 + 0.68048I
u = 0.350285 − 0.978445I
a = −1.22969 + 1.09369I
b = −1.56223 − 0.28495I
6.43935 + 1.44640I 11.71956 − 0.68048I
u = −0.299863 + 1.124440I
a = −0.960763 + 0.520688I
b = −0.601230 − 0.869213I
3.99972 + 3.99910I 5.21893 − 5.75182I
u = −0.299863 − 1.124440I
a = −0.960763 − 0.520688I
b = −0.601230 + 0.869213I
3.99972 − 3.99910I 5.21893 + 5.75182I
u = −1.155830 + 0.431712I
a = −0.246439 + 0.399491I
b = −0.629155 + 0.221809I
−1.56279 + 1.31651I 14.0169 − 6.4824I
u = −1.155830 − 0.431712I
a = −0.246439 − 0.399491I
b = −0.629155 − 0.221809I
−1.56279 − 1.31651I 14.0169 + 6.4824I
u = −0.102450 + 0.758852I
a = 2.28881 + 1.12597I
b = 0.249088 + 0.396273I
2.26028 − 2.23530I 7.59117 − 1.84623I
u = −0.102450 − 0.758852I
a = 2.28881 − 1.12597I
b = 0.249088 − 0.396273I
2.26028 + 2.23530I 7.59117 + 1.84623I
u = 1.098450 + 0.573725I
a = 0.327736 + 0.283089I
b = −0.039423 + 0.529582I
−3.30474 − 3.34770I −4.63686 + 7.62812I
u = 1.098450 − 0.573725I
a = 0.327736 − 0.283089I
b = −0.039423 − 0.529582I
−3.30474 + 3.34770I −4.63686 − 7.62812I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.399200 + 1.291310I
a = −1.42969 + 0.81322I
b = −1.04507 + 1.59362I
3.03940 − 7.57505I 5.54978 + 7.69435I
u = 0.399200 − 1.291310I
a = −1.42969 − 0.81322I
b = −1.04507 − 1.59362I
3.03940 + 7.57505I 5.54978 − 7.69435I
u = 0.238196 + 0.578880I
a = 1.57746 + 0.63148I
b = 0.368298 + 1.093560I
−3.97474 − 2.70415I −0.079815 + 1.320496I
u = 0.238196 − 0.578880I
a = 1.57746 − 0.63148I
b = 0.368298 − 1.093560I
−3.97474 + 2.70415I −0.079815 − 1.320496I
u = −0.556386 + 1.270950I
a = −1.291890 + 0.041356I
b = −1.145860 − 0.634153I
1.64477 + 4.87461I 7.20857 − 3.63831I
u = −0.556386 − 1.270950I
a = −1.291890 − 0.041356I
b = −1.145860 + 0.634153I
1.64477 − 4.87461I 7.20857 + 3.63831I
u = 0.028401 + 0.600952I
a = 1.96447 − 2.20586I
b = 0.40558 − 2.12267I
−0.31658 + 5.63779I 2.91181 − 3.68559I
u = 0.028401 − 0.600952I
a = 1.96447 + 2.20586I
b = 0.40558 + 2.12267I
−0.31658 − 5.63779I 2.91181 + 3.68559I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
− 2u
16
+ ··· + u + 1)(u
93
− 5u
92
+ ··· + 72835u − 5673)
c
2
(u
18
+ 4u
16
+ ··· + u + 1)(u
93
+ 3u
92
+ ··· + 151u − 93)
c
3
(u
18
+ 2u
17
+ ··· + 13u + 3)(u
93
− 5u
92
+ ··· + 201u − 7)
c
4
(u
18
+ 7u
15
+ ··· + 2u + 1)(u
93
− 5u
92
+ ··· + 20u − 3)
c
5
(u
18
+ 7u
16
+ ··· − 5u + 3)(u
93
− u
92
+ ··· − 5563u − 397)
c
6
(u
18
+ 4u
16
+ ··· − u + 1)(u
93
+ 3u
92
+ ··· + 151u − 93)
c
7
(u
18
− 3u
17
+ ··· + 4u + 1)(u
93
− 2u
91
+ ··· − 16u − 3)
c
8
(u
18
− 4u
16
+ ··· + 8u + 3)(u
93
+ u
92
+ ··· − 588u − 239)
c
9
(u
18
− 8u
17
+ ··· − 13u + 3)(u
93
− 7u
92
+ ··· − 37161u − 16439)
c
10
(u
18
+ 7u
16
+ ··· + 5u + 3)(u
93
− u
92
+ ··· − 5563u − 397)
c
11
(u
18
− 2u
17
+ ··· − 13u + 3)(u
93
− 5u
92
+ ··· + 201u − 7)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
− 4y
17
+ ··· − 13y + 1)
· (y
93
− 33y
92
+ ··· + 1446332815y −32182929)
c
2
, c
6
(y
18
+ 8y
17
+ ··· + 15y + 1)(y
93
+ 51y
92
+ ··· + 26707y −8649)
c
3
, c
11
(y
18
+ 14y
17
+ ··· + 11y + 9)(y
93
+ 69y
92
+ ··· + 4155y −49)
c
4
(y
18
+ 8y
16
+ ··· + 4y + 1)(y
93
+ 3y
92
+ ··· + 58y −9)
c
5
, c
10
(y
18
+ 14y
17
+ ··· + 101y + 9)
· (y
93
+ 65y
92
+ ··· − 454143y −157609)
c
7
(y
18
+ y
17
+ ··· + 4y + 1)(y
93
− 4y
92
+ ··· + 94y −9)
c
8
(y
18
− 8y
17
+ ··· − 64y + 9)(y
93
− 17y
92
+ ··· − 6001618y −57121)
c
9
(y
18
+ 8y
17
+ ··· + 77y + 9)
· (y
93
− 9y
92
+ ··· + 5192486461y −270240721)
21
