12a
0417
(K12a
0417
)
A knot diagram
1
Linearized knot diagam
3 6 9 12 8 2 11 1 4 5 7 10
Solving Sequence
3,9
4
6,10
2 7 1 8 5 12 11
c
3
c
9
c
2
c
6
c
1
c
8
c
5
c
12
c
11
c
4
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.58870 × 10
914
u
158
− 4.92785 × 10
914
u
157
+ ··· + 4.36446 × 10
913
b + 1.82161 × 10
918
,
2.79231 × 10
918
u
158
+ 5.30945 × 10
918
u
157
+ ··· + 3.35758 × 10
917
a − 1.96428 × 10
922
,
u
159
+ 3u
158
+ ··· − 5585u − 7693i
I
u
2
= h7.78906 × 10
28
u
33
+ 9.44633 × 10
29
u
32
+ ··· + 1.85295 × 10
30
b − 1.18903 × 10
30
,
1.56226 × 10
30
u
33
− 2.83996 × 10
30
u
32
+ ··· + 1.85295 × 10
30
a − 5.33132 × 10
30
, u
34
− 2u
33
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 193 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−2.59 × 10
914
u
158
− 4.93 × 10
914
u
157
+ · · · + 4.36 × 10
913
b + 1.82 ×
10
918
, 2.79 × 10
918
u
158
+ 5.31 × 10
918
u
157
+ · · · + 3.36 × 10
917
a − 1.96 ×
10
922
, u
159
+ 3u
158
+ · · · − 5585u − 7693i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
−8.31643u
158
− 15.8133u
157
+ ··· − 10997.8u + 58502.9
5.93131u
158
+ 11.2908u
157
+ ··· + 7878.72u − 41737.3
a
10
=
u
−u
3
+ u
a
2
=
−8.25706u
158
− 15.9801u
157
+ ··· − 12458.3u + 59347.6
6.00813u
158
+ 11.5632u
157
+ ··· + 8821.49u − 42858.5
a
7
=
−19.1831u
158
− 36.6088u
157
+ ··· − 25689.8u + 135390.
10.2278u
158
+ 19.5660u
157
+ ··· + 14318.7u − 72582.6
a
1
=
−2.24894u
158
− 4.41684u
157
+ ··· − 3636.81u + 16489.2
6.00813u
158
+ 11.5632u
157
+ ··· + 8821.49u − 42858.5
a
8
=
−3.49125u
158
− 6.39222u
157
+ ··· − 2490.36u + 23103.1
−0.614725u
158
− 1.24739u
157
+ ··· − 1138.27u + 4569.40
a
5
=
−1.11875u
158
− 1.93583u
157
+ ··· + 640.468u + 6227.96
−0.643637u
158
− 1.26257u
157
+ ··· − 951.234u + 4807.22
a
12
=
−9.07740u
158
− 17.5307u
157
+ ··· − 13309.7u + 64999.7
7.16040u
158
+ 13.7852u
157
+ ··· + 10509.8u − 51057.3
a
11
=
−6.09124u
158
− 11.8316u
157
+ ··· − 8380.13u + 43680.5
3.94321u
158
+ 7.58759u
157
+ ··· + 5858.27u − 28047.9
(ii) Obstruction class = −1
(iii) Cusp Shapes = −19.9314u
158
− 38.0090u
157
+ ··· − 25810.6u + 139691.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
159
+ 64u
158
+ ··· − 24822244u − 1203409
c
2
, c
6
u
159
+ 32u
157
+ ··· + 7818u − 1097
c
3
, c
9
u
159
+ 3u
158
+ ··· − 5585u − 7693
c
4
u
159
+ 5u
158
+ ··· − 284121u − 279029
c
5
u
159
− 3u
158
+ ··· + 3862280u − 51256
c
7
, c
11
u
159
− u
158
+ ··· − 4279u − 337
c
8
u
159
− 3u
158
+ ··· + 1114751u − 152107
c
10
u
159
+ u
158
+ ··· − 326007u − 55291
c
12
u
159
+ 17u
158
+ ··· + 17u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
159
+ 68y
158
+ ··· + 132998993025548y −1448193221281
c
2
, c
6
y
159
+ 64y
158
+ ··· − 24822244y −1203409
c
3
, c
9
y
159
− 115y
158
+ ··· + 852604607y −59182249
c
4
y
159
+ 27y
158
+ ··· − 3685160020727y −77857182841
c
5
y
159
− 23y
158
+ ··· + 200629593728y −2627177536
c
7
, c
11
y
159
+ 87y
158
+ ··· + 6123921y −113569
c
8
y
159
− 55y
158
+ ··· + 877102825123y −23136539449
c
10
y
159
− 35y
158
+ ··· − 245150469517y −3057094681
c
12
y
159
− 21y
158
+ ··· − 11y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.998230 + 0.056604I
a = −0.305260 − 0.965415I
b = 0.12662 + 1.68847I
−4.32266 − 0.19712I 0
u = −0.998230 − 0.056604I
a = −0.305260 + 0.965415I
b = 0.12662 − 1.68847I
−4.32266 + 0.19712I 0
u = 0.755548 + 0.696782I
a = 0.875163 + 0.305869I
b = −0.303629 − 1.264010I
−2.06960 + 2.68354I 0
u = 0.755548 − 0.696782I
a = 0.875163 − 0.305869I
b = −0.303629 + 1.264010I
−2.06960 − 2.68354I 0
u = 0.594627 + 0.762529I
a = 0.039425 + 0.356201I
b = −0.634948 + 0.986166I
−3.22180 − 5.85086I 0
u = 0.594627 − 0.762529I
a = 0.039425 − 0.356201I
b = −0.634948 − 0.986166I
−3.22180 + 5.85086I 0
u = −0.210807 + 1.034010I
a = −0.546647 − 0.382654I
b = 0.026452 − 1.210650I
−7.96372 + 6.45459I 0
u = −0.210807 − 1.034010I
a = −0.546647 + 0.382654I
b = 0.026452 + 1.210650I
−7.96372 − 6.45459I 0
u = 0.331910 + 0.876335I
a = −0.560436 + 0.166825I
b = 0.685940 − 0.528350I
0.69405 + 3.27940I 0
u = 0.331910 − 0.876335I
a = −0.560436 − 0.166825I
b = 0.685940 + 0.528350I
0.69405 − 3.27940I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.927144 + 0.530437I
a = 1.44593 − 0.37956I
b = −0.64661 + 1.26742I
−3.01406 − 2.12101I 0
u = −0.927144 − 0.530437I
a = 1.44593 + 0.37956I
b = −0.64661 − 1.26742I
−3.01406 + 2.12101I 0
u = 1.07110
a = 0.943144
b = −0.495655
1.59479 0
u = 1.034070 + 0.301640I
a = −0.546057 − 0.645865I
b = 0.034883 − 0.926985I
1.95234 + 2.25098I 0
u = 1.034070 − 0.301640I
a = −0.546057 + 0.645865I
b = 0.034883 + 0.926985I
1.95234 − 2.25098I 0
u = −0.260741 + 1.047610I
a = −1.072750 − 0.613680I
b = 0.620672 − 1.030020I
−0.74335 − 8.33939I 0
u = −0.260741 − 1.047610I
a = −1.072750 + 0.613680I
b = 0.620672 + 1.030020I
−0.74335 + 8.33939I 0
u = −1.029520 + 0.327415I
a = −0.189237 − 1.014620I
b = 0.762322 + 0.552008I
−0.47895 − 4.92362I 0
u = −1.029520 − 0.327415I
a = −0.189237 + 1.014620I
b = 0.762322 − 0.552008I
−0.47895 + 4.92362I 0
u = −0.989286 + 0.434947I
a = −0.34060 + 1.60831I
b = −0.146775 + 0.702020I
−0.40731 − 7.03209I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.989286 − 0.434947I
a = −0.34060 − 1.60831I
b = −0.146775 − 0.702020I
−0.40731 + 7.03209I 0
u = 1.007980 + 0.391765I
a = −2.14801 + 0.97630I
b = 0.658038 + 1.048600I
−1.93511 + 10.31950I 0
u = 1.007980 − 0.391765I
a = −2.14801 − 0.97630I
b = 0.658038 − 1.048600I
−1.93511 − 10.31950I 0
u = −1.084210 + 0.005524I
a = −2.25931 + 0.90723I
b = 0.914933 − 0.929006I
0.72668 − 2.58040I 0
u = −1.084210 − 0.005524I
a = −2.25931 − 0.90723I
b = 0.914933 + 0.929006I
0.72668 + 2.58040I 0
u = −1.068790 + 0.214090I
a = 0.0044551 + 0.0808453I
b = −0.182360 − 1.328580I
−5.29763 − 0.05849I 0
u = −1.068790 − 0.214090I
a = 0.0044551 − 0.0808453I
b = −0.182360 + 1.328580I
−5.29763 + 0.05849I 0
u = −0.226550 + 1.068610I
a = −0.818317 + 0.037390I
b = 0.819079 + 0.477351I
−2.06232 − 8.57163I 0
u = −0.226550 − 1.068610I
a = −0.818317 − 0.037390I
b = 0.819079 − 0.477351I
−2.06232 + 8.57163I 0
u = 0.846723 + 0.301804I
a = 0.765013 − 0.917829I
b = 0.004476 − 1.127320I
−6.11695 + 3.56799I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.846723 − 0.301804I
a = 0.765013 + 0.917829I
b = 0.004476 + 1.127320I
−6.11695 − 3.56799I 0
u = −1.028450 + 0.403819I
a = 0.986638 + 0.435321I
b = −0.225840 + 0.967325I
−1.13088 − 2.45330I 0
u = −1.028450 − 0.403819I
a = 0.986638 − 0.435321I
b = −0.225840 − 0.967325I
−1.13088 + 2.45330I 0
u = 0.770144 + 0.439668I
a = 2.15042 − 0.12942I
b = −0.127552 − 0.974758I
−6.40260 − 0.41866I 0
u = 0.770144 − 0.439668I
a = 2.15042 + 0.12942I
b = −0.127552 + 0.974758I
−6.40260 + 0.41866I 0
u = −0.107615 + 0.875901I
a = −0.243278 + 0.940188I
b = 0.480889 + 1.034830I
−6.21376 + 3.91050I 0
u = −0.107615 − 0.875901I
a = −0.243278 − 0.940188I
b = 0.480889 − 1.034830I
−6.21376 − 3.91050I 0
u = −1.119340 + 0.010498I
a = 3.31565 − 0.12505I
b = −0.609534 − 0.817153I
1.56961 − 4.22958I 0
u = −1.119340 − 0.010498I
a = 3.31565 + 0.12505I
b = −0.609534 + 0.817153I
1.56961 + 4.22958I 0
u = −0.463833 + 0.744719I
a = 0.553671 + 0.798452I
b = −0.663530 + 0.663223I
−2.24861 + 0.78017I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.463833 − 0.744719I
a = 0.553671 − 0.798452I
b = −0.663530 − 0.663223I
−2.24861 − 0.78017I 0
u = 1.121500 + 0.240629I
a = −1.72268 − 0.17644I
b = 1.301470 + 0.287043I
1.31700 + 7.23660I 0
u = 1.121500 − 0.240629I
a = −1.72268 + 0.17644I
b = 1.301470 − 0.287043I
1.31700 − 7.23660I 0
u = 1.145460 + 0.096382I
a = −2.08745 − 0.91525I
b = 0.876025 + 1.046550I
0.37825 + 4.24541I 0
u = 1.145460 − 0.096382I
a = −2.08745 + 0.91525I
b = 0.876025 − 1.046550I
0.37825 − 4.24541I 0
u = 1.170950 + 0.120289I
a = 2.56337 − 0.84885I
b = −0.580563 − 0.945554I
5.02421 + 3.04131I 0
u = 1.170950 − 0.120289I
a = 2.56337 + 0.84885I
b = −0.580563 + 0.945554I
5.02421 − 3.04131I 0
u = −0.800888 + 0.093377I
a = 0.879486 + 0.160390I
b = −0.789295 − 0.645792I
−0.26494 + 2.40988I 0
u = −0.800888 − 0.093377I
a = 0.879486 − 0.160390I
b = −0.789295 + 0.645792I
−0.26494 − 2.40988I 0
u = −0.101398 + 1.195570I
a = 0.755610 − 0.083206I
b = −0.657040 − 0.877020I
0.31857 + 1.63483I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.101398 − 1.195570I
a = 0.755610 + 0.083206I
b = −0.657040 + 0.877020I
0.31857 − 1.63483I 0
u = −1.163570 + 0.319002I
a = 1.206670 − 0.445892I
b = −0.238517 − 0.522046I
−0.14787 + 3.09757I 0
u = −1.163570 − 0.319002I
a = 1.206670 + 0.445892I
b = −0.238517 + 0.522046I
−0.14787 − 3.09757I 0
u = −0.019567 + 0.792817I
a = −0.397181 + 1.272620I
b = 0.058253 + 1.040860I
−4.19818 − 2.06289I 0
u = −0.019567 − 0.792817I
a = −0.397181 − 1.272620I
b = 0.058253 − 1.040860I
−4.19818 + 2.06289I 0
u = 1.209160 + 0.106868I
a = 1.57776 − 0.14188I
b = −0.627327 − 1.163320I
4.87807 + 4.15319I 0
u = 1.209160 − 0.106868I
a = 1.57776 + 0.14188I
b = −0.627327 + 1.163320I
4.87807 − 4.15319I 0
u = 0.055245 + 0.777935I
a = 1.122840 − 0.737605I
b = −0.655588 − 0.932531I
−0.08140 + 3.07582I 0
u = 0.055245 − 0.777935I
a = 1.122840 + 0.737605I
b = −0.655588 + 0.932531I
−0.08140 − 3.07582I 0
u = 1.240920 + 0.011755I
a = −1.86456 − 0.33830I
b = 0.662989 + 0.919664I
4.23313 + 0.35055I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.240920 − 0.011755I
a = −1.86456 + 0.33830I
b = 0.662989 − 0.919664I
4.23313 − 0.35055I 0
u = 1.241290 + 0.049732I
a = 1.30674 + 2.17756I
b = −0.602910 − 0.889713I
1.33788 + 9.00851I 0
u = 1.241290 − 0.049732I
a = 1.30674 − 2.17756I
b = −0.602910 + 0.889713I
1.33788 − 9.00851I 0
u = 1.245610 + 0.055066I
a = 1.35726 − 0.68550I
b = −1.108180 + 0.495846I
4.06139 + 4.47431I 0
u = 1.245610 − 0.055066I
a = 1.35726 + 0.68550I
b = −1.108180 − 0.495846I
4.06139 − 4.47431I 0
u = −1.253840 + 0.171329I
a = −2.62849 + 0.37107I
b = 0.699047 − 0.918884I
4.38909 − 5.88148I 0
u = −1.253840 − 0.171329I
a = −2.62849 − 0.37107I
b = 0.699047 + 0.918884I
4.38909 + 5.88148I 0
u = 1.261490 + 0.131560I
a = −1.35271 + 1.60138I
b = 0.724564 − 0.780989I
4.80669 + 0.44565I 0
u = 1.261490 − 0.131560I
a = −1.35271 − 1.60138I
b = 0.724564 + 0.780989I
4.80669 − 0.44565I 0
u = −1.268540 + 0.079334I
a = 0.18558 + 2.09686I
b = −0.540326 − 0.776382I
5.61646 + 1.44960I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.268540 − 0.079334I
a = 0.18558 − 2.09686I
b = −0.540326 + 0.776382I
5.61646 − 1.44960I 0
u = −1.259180 + 0.185861I
a = 1.81294 − 0.21631I
b = −0.754992 + 1.181590I
1.92301 − 11.09530I 0
u = −1.259180 − 0.185861I
a = 1.81294 + 0.21631I
b = −0.754992 − 1.181590I
1.92301 + 11.09530I 0
u = −0.263817 + 0.668835I
a = 0.588389 + 0.026754I
b = −0.608365 − 0.811386I
0.36170 + 1.89276I 0
u = −0.263817 − 0.668835I
a = 0.588389 − 0.026754I
b = −0.608365 + 0.811386I
0.36170 − 1.89276I 0
u = −1.283580 + 0.012359I
a = 0.839158 − 0.724273I
b = −0.808124 + 0.465228I
7.02134 − 1.27085I 0
u = −1.283580 − 0.012359I
a = 0.839158 + 0.724273I
b = −0.808124 − 0.465228I
7.02134 + 1.27085I 0
u = 1.280260 + 0.114855I
a = −1.45072 + 0.78969I
b = 0.800436 − 0.852565I
4.51874 − 0.16581I 0
u = 1.280260 − 0.114855I
a = −1.45072 − 0.78969I
b = 0.800436 + 0.852565I
4.51874 + 0.16581I 0
u = 0.205143 + 1.270010I
a = −0.953570 + 0.304264I
b = 0.650565 + 1.088450I
−3.8636 + 14.0598I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.205143 − 1.270010I
a = −0.953570 − 0.304264I
b = 0.650565 − 1.088450I
−3.8636 − 14.0598I 0
u = 1.249030 + 0.313432I
a = 0.800746 − 0.476986I
b = −0.824676 + 0.214340I
−0.14374 + 3.65613I 0
u = 1.249030 − 0.313432I
a = 0.800746 + 0.476986I
b = −0.824676 − 0.214340I
−0.14374 − 3.65613I 0
u = 1.236870 + 0.372862I
a = −0.493892 + 0.126708I
b = 0.041339 + 1.196340I
−0.39157 + 6.26546I 0
u = 1.236870 − 0.372862I
a = −0.493892 − 0.126708I
b = 0.041339 − 1.196340I
−0.39157 − 6.26546I 0
u = −1.278050 + 0.229073I
a = −2.00152 + 0.44928I
b = 0.739935 − 0.905459I
4.32573 − 5.61032I 0
u = −1.278050 − 0.229073I
a = −2.00152 − 0.44928I
b = 0.739935 + 0.905459I
4.32573 + 5.61032I 0
u = −1.198420 + 0.511893I
a = −0.683459 + 0.146140I
b = 0.174514 − 1.327100I
−4.85586 − 11.87490I 0
u = −1.198420 − 0.511893I
a = −0.683459 − 0.146140I
b = 0.174514 + 1.327100I
−4.85586 + 11.87490I 0
u = −1.238580 + 0.417998I
a = 1.73426 + 0.47324I
b = −0.561304 + 1.106100I
−2.68541 − 8.54615I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.238580 − 0.417998I
a = 1.73426 − 0.47324I
b = −0.561304 − 1.106100I
−2.68541 + 8.54615I 0
u = −0.015696 + 0.684873I
a = 0.043489 + 0.639741I
b = 0.544402 + 0.177566I
−4.00879 − 0.00094I 0
u = −0.015696 − 0.684873I
a = 0.043489 − 0.639741I
b = 0.544402 − 0.177566I
−4.00879 + 0.00094I 0
u = 1.285200 + 0.298812I
a = −0.530389 − 1.181650I
b = −0.308619 + 0.784211I
−0.42326 + 5.17727I 0
u = 1.285200 − 0.298812I
a = −0.530389 + 1.181650I
b = −0.308619 − 0.784211I
−0.42326 − 5.17727I 0
u = 0.358641 + 0.573632I
a = 1.035120 + 0.380710I
b = −0.368695 + 0.030136I
0.872410 + 0.982789I 0
u = 0.358641 − 0.573632I
a = 1.035120 − 0.380710I
b = −0.368695 − 0.030136I
0.872410 − 0.982789I 0
u = −1.329220 + 0.226197I
a = −1.084910 + 0.254471I
b = 0.674735 − 0.248436I
4.98883 − 4.27401I 0
u = −1.329220 − 0.226197I
a = −1.084910 − 0.254471I
b = 0.674735 + 0.248436I
4.98883 + 4.27401I 0
u = −0.375116 + 0.515641I
a = −2.30431 − 0.56324I
b = 0.307512 − 1.083760I
−7.33839 − 2.83916I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.375116 − 0.515641I
a = −2.30431 + 0.56324I
b = 0.307512 + 1.083760I
−7.33839 + 2.83916I 0
u = −0.175734 + 0.581083I
a = 0.763350 − 0.171263I
b = 0.268253 + 1.071510I
−4.73018 − 1.86025I 0
u = −0.175734 − 0.581083I
a = 0.763350 + 0.171263I
b = 0.268253 − 1.071510I
−4.73018 + 1.86025I 0
u = −1.385180 + 0.155061I
a = 0.802320 + 0.298138I
b = −0.235301 + 0.611966I
−0.28888 − 3.13725I 0
u = −1.385180 − 0.155061I
a = 0.802320 − 0.298138I
b = −0.235301 − 0.611966I
−0.28888 + 3.13725I 0
u = −1.42109 + 0.10749I
a = −1.107990 + 0.769973I
b = 0.599310 − 0.722376I
4.87228 − 4.68602I 0
u = −1.42109 − 0.10749I
a = −1.107990 − 0.769973I
b = 0.599310 + 0.722376I
4.87228 + 4.68602I 0
u = −1.38287 + 0.42808I
a = −1.251540 − 0.599889I
b = 0.980732 + 0.486269I
6.16081 − 5.31879I 0
u = −1.38287 − 0.42808I
a = −1.251540 + 0.599889I
b = 0.980732 − 0.486269I
6.16081 + 5.31879I 0
u = 1.41457 + 0.38947I
a = −1.14148 + 0.87019I
b = 0.909295 − 0.681033I
6.58811 + 1.81713I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41457 − 0.38947I
a = −1.14148 − 0.87019I
b = 0.909295 + 0.681033I
6.58811 − 1.81713I 0
u = −1.41994 + 0.38959I
a = 0.994183 + 0.913820I
b = −0.873194 − 0.560161I
6.13762 − 7.87850I 0
u = −1.41994 − 0.38959I
a = 0.994183 − 0.913820I
b = −0.873194 + 0.560161I
6.13762 + 7.87850I 0
u = 1.42157 + 0.47243I
a = 1.120800 − 0.859041I
b = −0.988226 + 0.576306I
3.0579 + 14.0234I 0
u = 1.42157 − 0.47243I
a = 1.120800 + 0.859041I
b = −0.988226 − 0.576306I
3.0579 − 14.0234I 0
u = 0.377555 + 0.328668I
a = 1.86659 − 1.42322I
b = −0.975459 + 0.687135I
−0.95796 − 4.69135I 0. + 9.65657I
u = 0.377555 − 0.328668I
a = 1.86659 + 1.42322I
b = −0.975459 − 0.687135I
−0.95796 + 4.69135I 0. − 9.65657I
u = 0.494676 + 0.039149I
a = 0.608157 − 0.438955I
b = −0.664879 + 1.095290I
−1.70446 − 3.38880I 4.00000 + 0.I
u = 0.494676 − 0.039149I
a = 0.608157 + 0.438955I
b = −0.664879 − 1.095290I
−1.70446 + 3.38880I 4.00000 + 0.I
u = 1.43311 + 0.45810I
a = 1.94979 − 0.10603I
b = −0.693002 − 1.087090I
4.5317 + 13.6898I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43311 − 0.45810I
a = 1.94979 + 0.10603I
b = −0.693002 + 1.087090I
4.5317 − 13.6898I 0
u = −1.43238 + 0.47747I
a = −1.90101 + 0.02286I
b = 0.750615 − 1.043010I
5.45362 − 7.92777I 0
u = −1.43238 − 0.47747I
a = −1.90101 − 0.02286I
b = 0.750615 + 1.043010I
5.45362 + 7.92777I 0
u = −0.12850 + 1.50976I
a = 1.000350 − 0.272130I
b = −0.624161 − 0.809222I
0.52767 + 3.38319I 0
u = −0.12850 − 1.50976I
a = 1.000350 + 0.272130I
b = −0.624161 + 0.809222I
0.52767 − 3.38319I 0
u = 0.060754 + 0.475717I
a = 0.680605 + 0.814523I
b = −0.584284 − 0.472779I
0.61126 + 1.48879I 6.01391 − 4.96004I
u = 0.060754 − 0.475717I
a = 0.680605 − 0.814523I
b = −0.584284 + 0.472779I
0.61126 − 1.48879I 6.01391 + 4.96004I
u = 1.42760 + 0.54533I
a = −0.795754 + 0.827410I
b = 0.781138 − 0.790563I
4.99762 + 4.56492I 0
u = 1.42760 − 0.54533I
a = −0.795754 − 0.827410I
b = 0.781138 + 0.790563I
4.99762 − 4.56492I 0
u = −1.39875 + 0.63574I
a = −1.78996 − 0.28475I
b = 0.731904 − 0.940504I
4.53033 − 10.27560I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.39875 − 0.63574I
a = −1.78996 + 0.28475I
b = 0.731904 + 0.940504I
4.53033 + 10.27560I 0
u = −1.46201 + 0.53500I
a = 1.88190 − 0.00198I
b = −0.737831 + 1.125560I
1.3350 − 20.3047I 0
u = −1.46201 − 0.53500I
a = 1.88190 + 0.00198I
b = −0.737831 − 1.125560I
1.3350 + 20.3047I 0
u = 1.45420 + 0.57975I
a = −1.60649 + 0.33605I
b = 0.597537 + 0.922893I
4.65572 + 6.98413I 0
u = 1.45420 − 0.57975I
a = −1.60649 − 0.33605I
b = 0.597537 − 0.922893I
4.65572 − 6.98413I 0
u = 1.47628 + 0.56010I
a = −1.67532 − 0.13368I
b = 0.707049 + 1.134670I
4.18893 + 11.42150I 0
u = 1.47628 − 0.56010I
a = −1.67532 + 0.13368I
b = 0.707049 − 1.134670I
4.18893 − 11.42150I 0
u = −1.54415 + 0.44438I
a = −0.667840 − 0.731079I
b = 0.575105 + 0.778621I
5.13375 − 2.31436I 0
u = −1.54415 − 0.44438I
a = −0.667840 + 0.731079I
b = 0.575105 − 0.778621I
5.13375 + 2.31436I 0
u = −0.375435 + 0.064149I
a = 5.55414 + 1.85182I
b = 0.002629 + 0.664397I
−4.77694 − 1.09489I −0.60906 + 8.24374I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.375435 − 0.064149I
a = 5.55414 − 1.85182I
b = 0.002629 − 0.664397I
−4.77694 + 1.09489I −0.60906 − 8.24374I
u = 0.238701 + 0.217595I
a = 3.00357 − 1.12547I
b = 0.528584 − 0.724297I
2.31513 − 1.60194I 7.58569 − 4.88635I
u = 0.238701 − 0.217595I
a = 3.00357 + 1.12547I
b = 0.528584 + 0.724297I
2.31513 + 1.60194I 7.58569 + 4.88635I
u = −0.318100 + 0.003896I
a = 2.05695 + 0.98958I
b = 0.695973 − 0.454890I
−0.38959 + 4.08543I 4.80991 − 2.78422I
u = −0.318100 − 0.003896I
a = 2.05695 − 0.98958I
b = 0.695973 + 0.454890I
−0.38959 − 4.08543I 4.80991 + 2.78422I
u = 0.10372 + 1.68534I
a = 0.710432 + 0.039211I
b = −0.521295 + 0.999211I
−0.93111 − 4.39304I 0
u = 0.10372 − 1.68534I
a = 0.710432 − 0.039211I
b = −0.521295 − 0.999211I
−0.93111 + 4.39304I 0
u = 0.072203 + 0.287898I
a = 3.11145 − 0.49790I
b = 0.531189 − 0.971492I
1.52091 − 2.70354I −3.36689 + 10.25142I
u = 0.072203 − 0.287898I
a = 3.11145 + 0.49790I
b = 0.531189 + 0.971492I
1.52091 + 2.70354I −3.36689 − 10.25142I
u = 1.71037 + 0.24675I
a = 0.520132 − 0.273181I
b = −0.337170 + 0.857973I
−0.812201 + 0.684522I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.71037 − 0.24675I
a = 0.520132 + 0.273181I
b = −0.337170 − 0.857973I
−0.812201 − 0.684522I 0
u = 0.089842 + 0.243647I
a = 1.64776 + 2.66269I
b = 0.614847 + 1.077680I
−2.17842 + 9.17430I 1.82314 − 6.56921I
u = 0.089842 − 0.243647I
a = 1.64776 − 2.66269I
b = 0.614847 − 1.077680I
−2.17842 − 9.17430I 1.82314 + 6.56921I
u = −1.90614 + 0.21575I
a = 1.55686 − 0.17208I
b = −0.570536 + 0.806652I
0.903909 + 0.431493I 0
u = −1.90614 − 0.21575I
a = 1.55686 + 0.17208I
b = −0.570536 − 0.806652I
0.903909 − 0.431493I 0
u = 2.00152 + 0.05404I
a = 1.281640 − 0.515843I
b = −0.574496 + 0.902340I
0.58953 − 4.99476I 0
u = 2.00152 − 0.05404I
a = 1.281640 + 0.515843I
b = −0.574496 − 0.902340I
0.58953 + 4.99476I 0
u = 0.25425 + 2.43540I
a = 0.933225 + 0.284927I
b = −0.461292 + 0.776100I
−0.056205 + 0.448439I 0
u = 0.25425 − 2.43540I
a = 0.933225 − 0.284927I
b = −0.461292 − 0.776100I
−0.056205 − 0.448439I 0
20
II.
I
u
2
= h7.79 × 10
28
u
33
+ 9.45 × 10
29
u
32
+ · · · + 1.85 × 10
30
b − 1.19 × 10
30
, 1.56 ×
10
30
u
33
−2.84×10
30
u
32
+· · ·+1.85×10
30
a−5.33×10
30
, u
34
−2u
33
+· · ·−2u+1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
−0.843122u
33
+ 1.53267u
32
+ ··· − 3.82545u + 2.87721
−0.0420360u
33
− 0.509800u
32
+ ··· − 4.00410u + 0.641699
a
10
=
u
−u
3
+ u
a
2
=
0.123433u
33
− 1.18111u
32
+ ··· − 6.24049u + 2.01955
0.774671u
33
− 0.993673u
32
+ ··· + 2.48256u − 1.91740
a
7
=
0.293023u
33
− 1.37709u
32
+ ··· − 2.17885u − 0.692909
−0.168391u
33
+ 1.12477u
32
+ ··· + 1.18168u + 1.03755
a
1
=
0.898104u
33
− 2.17478u
32
+ ··· − 3.75793u + 0.102148
0.774671u
33
− 0.993673u
32
+ ··· + 2.48256u − 1.91740
a
8
=
−1.54514u
33
+ 2.72030u
32
+ ··· + 0.367285u − 0.132372
−0.122956u
33
+ 0.431436u
32
+ ··· + 2.05304u − 1.88832
a
5
=
−0.574428u
33
+ 1.75434u
32
+ ··· + 7.10548u − 0.260983
−0.456970u
33
+ 0.655203u
32
+ ··· − 0.918090u − 0.578563
a
12
=
0.335647u
33
− 1.64076u
32
+ ··· − 5.38566u + 1.02002
1.04455u
33
− 1.56367u
32
+ ··· + 1.47416u − 1.59042
a
11
=
0.317307u
33
− 1.83073u
32
+ ··· − 6.85640u − 0.552115
1.31326u
33
− 2.17579u
32
+ ··· + 4.44259u − 1.62039
(ii) Obstruction class = 1
(iii) Cusp Shapes = −0.312721u
33
− 4.02626u
32
+ ··· − 16.9736u + 4.08663
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
34
− 17u
33
+ ··· − 11u + 1
c
2
u
34
− 3u
33
+ ··· − 5u + 1
c
3
u
34
− 2u
33
+ ··· − 2u + 1
c
4
u
34
+ 2u
32
+ ··· + 12u + 1
c
5
u
34
− 8u
33
+ ··· − 8u + 8
c
6
u
34
+ 3u
33
+ ··· + 5u + 1
c
7
u
34
− 4u
33
+ ··· + 2u + 1
c
8
u
34
− 2u
33
+ ··· + 2u + 1
c
9
u
34
+ 2u
33
+ ··· + 2u + 1
c
10
u
34
+ 2u
33
+ ··· + 4u + 1
c
11
u
34
+ 4u
33
+ ··· − 2u + 1
c
12
u
34
− 2u
33
+ ··· − 10u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 5y
33
+ ··· + 35y + 1
c
2
, c
6
y
34
+ 17y
33
+ ··· + 11y + 1
c
3
, c
9
y
34
− 22y
33
+ ··· − 8y + 1
c
4
y
34
+ 4y
33
+ ··· + 30y + 1
c
5
y
34
+ 6y
33
+ ··· − 448y + 64
c
7
, c
11
y
34
+ 16y
33
+ ··· + 30y + 1
c
8
y
34
− 30y
33
+ ··· − 36y + 1
c
10
y
34
+ 2y
33
+ ··· + 16y + 1
c
12
y
34
− 16y
33
+ ··· − 18y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.037460 + 0.107697I
a = 0.024559 − 0.841260I
b = 0.05676 + 1.65854I
−4.26208 − 0.47844I 5.1188 + 17.9896I
u = −1.037460 − 0.107697I
a = 0.024559 + 0.841260I
b = 0.05676 − 1.65854I
−4.26208 + 0.47844I 5.1188 − 17.9896I
u = −1.039050 + 0.329922I
a = −1.60912 − 1.00224I
b = 0.604943 − 1.075190I
−1.02241 − 10.39780I 6.03333 + 10.55997I
u = −1.039050 − 0.329922I
a = −1.60912 + 1.00224I
b = 0.604943 + 1.075190I
−1.02241 + 10.39780I 6.03333 − 10.55997I
u = 1.132460 + 0.189408I
a = −1.44644 − 0.87583I
b = 0.890935 + 0.411726I
1.29486 + 6.39221I 4.72662 − 4.68910I
u = 1.132460 − 0.189408I
a = −1.44644 + 0.87583I
b = 0.890935 − 0.411726I
1.29486 − 6.39221I 4.72662 + 4.68910I
u = 1.124730 + 0.301055I
a = 0.787383 + 0.348836I
b = 0.504825 − 0.572465I
0.67211 + 5.72156I 6.80555 − 7.67520I
u = 1.124730 − 0.301055I
a = 0.787383 − 0.348836I
b = 0.504825 + 0.572465I
0.67211 − 5.72156I 6.80555 + 7.67520I
u = 1.172190 + 0.100007I
a = −2.01129 + 0.45709I
b = 0.607915 + 1.072170I
4.39397 + 3.72369I 1.22026 − 2.72712I
u = 1.172190 − 0.100007I
a = −2.01129 − 0.45709I
b = 0.607915 − 1.072170I
4.39397 − 3.72369I 1.22026 + 2.72712I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.250160 + 0.054050I
a = −0.16783 − 1.84344I
b = 0.563659 + 0.674135I
5.72522 + 0.99009I 9.41736 + 5.61794I
u = −1.250160 − 0.054050I
a = −0.16783 + 1.84344I
b = 0.563659 − 0.674135I
5.72522 − 0.99009I 9.41736 − 5.61794I
u = 0.504144 + 0.313787I
a = 3.83365 − 1.30009I
b = −0.179504 − 0.686413I
−4.76543 − 0.57249I 0.00467 − 5.51612I
u = 0.504144 − 0.313787I
a = 3.83365 + 1.30009I
b = −0.179504 + 0.686413I
−4.76543 + 0.57249I 0.00467 + 5.51612I
u = −1.39489 + 0.24776I
a = −1.016030 + 0.328582I
b = 0.414536 − 0.339806I
4.49780 − 3.98143I 0
u = −1.39489 − 0.24776I
a = −1.016030 − 0.328582I
b = 0.414536 + 0.339806I
4.49780 + 3.98143I 0
u = −0.534455 + 0.082802I
a = 2.67648 + 0.12779I
b = −0.151152 + 1.039410I
−6.25261 − 2.12455I −1.96588 + 2.83153I
u = −0.534455 − 0.082802I
a = 2.67648 − 0.12779I
b = −0.151152 − 1.039410I
−6.25261 + 2.12455I −1.96588 − 2.83153I
u = 1.30269 + 0.70796I
a = 0.717575 − 0.257385I
b = −0.198165 − 0.937475I
−0.81936 + 3.42106I 0. − 13.39678I
u = 1.30269 − 0.70796I
a = 0.717575 + 0.257385I
b = −0.198165 + 0.937475I
−0.81936 − 3.42106I 0. + 13.39678I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.341394 + 0.320665I
a = 2.07448 − 0.15009I
b = −0.724108 − 1.132880I
−2.13505 + 3.78900I −4.81674 − 7.68990I
u = 0.341394 − 0.320665I
a = 2.07448 + 0.15009I
b = −0.724108 + 1.132880I
−2.13505 − 3.78900I −4.81674 + 7.68990I
u = −1.46437 + 0.48235I
a = −0.924427 − 0.680646I
b = 0.746388 + 0.682948I
5.72804 − 3.48847I 0
u = −1.46437 − 0.48235I
a = −0.924427 + 0.680646I
b = 0.746388 − 0.682948I
5.72804 + 3.48847I 0
u = 1.44874 + 0.59266I
a = −1.74982 + 0.09589I
b = 0.704911 + 1.002670I
4.77060 + 9.04248I 0
u = 1.44874 − 0.59266I
a = −1.74982 − 0.09589I
b = 0.704911 − 1.002670I
4.77060 − 9.04248I 0
u = 0.176370 + 0.387871I
a = −1.34170 + 0.49120I
b = −0.551173 + 0.883307I
1.77136 − 2.19523I 5.07992 − 0.09369I
u = 0.176370 − 0.387871I
a = −1.34170 − 0.49120I
b = −0.551173 − 0.883307I
1.77136 + 2.19523I 5.07992 + 0.09369I
u = −0.215349 + 0.350732I
a = 2.71519 + 0.77963I
b = −0.815001 + 0.885612I
−1.40857 − 2.69226I −3.02491 + 3.37682I
u = −0.215349 − 0.350732I
a = 2.71519 − 0.77963I
b = −0.815001 − 0.885612I
−1.40857 + 2.69226I −3.02491 − 3.37682I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.23113 + 1.03828I
a = 1.050780 + 0.179318I
b = −0.538363 + 0.666254I
0.12957 − 3.35586I 0
u = 1.23113 − 1.03828I
a = 1.050780 − 0.179318I
b = −0.538363 − 0.666254I
0.12957 + 3.35586I 0
u = −0.49812 + 2.01443I
a = 0.886567 − 0.316831I
b = −0.437408 − 0.762400I
−0.093366 − 0.479430I 0
u = −0.49812 − 2.01443I
a = 0.886567 + 0.316831I
b = −0.437408 + 0.762400I
−0.093366 + 0.479430I 0
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 17u
33
+ ··· − 11u + 1)
· (u
159
+ 64u
158
+ ··· − 24822244u − 1203409)
c
2
(u
34
− 3u
33
+ ··· − 5u + 1)(u
159
+ 32u
157
+ ··· + 7818u − 1097)
c
3
(u
34
− 2u
33
+ ··· − 2u + 1)(u
159
+ 3u
158
+ ··· − 5585u − 7693)
c
4
(u
34
+ 2u
32
+ ··· + 12u + 1)(u
159
+ 5u
158
+ ··· − 284121u − 279029)
c
5
(u
34
− 8u
33
+ ··· − 8u + 8)(u
159
− 3u
158
+ ··· + 3862280u − 51256)
c
6
(u
34
+ 3u
33
+ ··· + 5u + 1)(u
159
+ 32u
157
+ ··· + 7818u − 1097)
c
7
(u
34
− 4u
33
+ ··· + 2u + 1)(u
159
− u
158
+ ··· − 4279u − 337)
c
8
(u
34
− 2u
33
+ ··· + 2u + 1)(u
159
− 3u
158
+ ··· + 1114751u − 152107)
c
9
(u
34
+ 2u
33
+ ··· + 2u + 1)(u
159
+ 3u
158
+ ··· − 5585u − 7693)
c
10
(u
34
+ 2u
33
+ ··· + 4u + 1)(u
159
+ u
158
+ ··· − 326007u − 55291)
c
11
(u
34
+ 4u
33
+ ··· − 2u + 1)(u
159
− u
158
+ ··· − 4279u − 337)
c
12
(u
34
− 2u
33
+ ··· − 10u + 1)(u
159
+ 17u
158
+ ··· + 17u + 1)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ 5y
33
+ ··· + 35y + 1)
· (y
159
+ 68y
158
+ ··· + 132998993025548y −1448193221281)
c
2
, c
6
(y
34
+ 17y
33
+ ··· + 11y + 1)
· (y
159
+ 64y
158
+ ··· − 24822244y −1203409)
c
3
, c
9
(y
34
− 22y
33
+ ··· − 8y + 1)
· (y
159
− 115y
158
+ ··· + 852604607y −59182249)
c
4
(y
34
+ 4y
33
+ ··· + 30y + 1)
· (y
159
+ 27y
158
+ ··· − 3685160020727y −77857182841)
c
5
(y
34
+ 6y
33
+ ··· − 448y + 64)
· (y
159
− 23y
158
+ ··· + 200629593728y −2627177536)
c
7
, c
11
(y
34
+ 16y
33
+ ··· + 30y + 1)
· (y
159
+ 87y
158
+ ··· + 6123921y −113569)
c
8
(y
34
− 30y
33
+ ··· − 36y + 1)
· (y
159
− 55y
158
+ ··· + 877102825123y −23136539449)
c
10
(y
34
+ 2y
33
+ ··· + 16y + 1)
· (y
159
− 35y
158
+ ··· − 245150469517y −3057094681)
c
12
(y
34
− 16y
33
+ ··· − 18y + 1)(y
159
− 21y
158
+ ··· − 11y −1)
31
