12a
0335
(K12a
0335
)
A knot diagram
1
Linearized knot diagam
3 6 8 12 2 10 5 11 7 1 4 9
Solving Sequence
4,11
12
5,9
1 8 3 2 7 10 6
c
11
c
4
c
12
c
8
c
3
c
1
c
7
c
10
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.34989 × 10
918
u
181
3.22581 × 10
917
u
180
+ ··· + 2.21461 × 10
916
b 1.39411 × 10
921
,
2.57960 × 10
921
u
181
4.86262 × 10
920
u
180
+ ··· + 1.81819 × 10
919
a 2.49275 × 10
924
,
u
182
+ u
181
+ ··· 206u + 821i
I
u
2
= h2.90138 × 10
52
u
46
+ 1.98487 × 10
52
u
45
+ ··· + 1.55520 × 10
51
b + 1.34305 × 10
53
,
1.15009 × 10
54
u
46
+ 3.14995 × 10
53
u
45
+ ··· + 1.01088 × 10
53
a + 2.16660 × 10
54
, u
47
14u
45
+ ··· + 22u 5i
* 2 irreducible components of dim
C
= 0, with total 229 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−1.35 × 10
918
u
181
3.23 × 10
917
u
180
+ · · · + 2.21 × 10
916
b 1.39 ×
10
921
, 2.58 × 10
921
u
181
4.86 × 10
920
u
180
+ · · · + 1.82 × 10
919
a 2.49 ×
10
924
, u
182
+ u
181
+ · · · 206u + 821i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
12
=
1
u
2
a
5
=
u
u
3
+ u
a
9
=
141.877u
181
+ 26.7442u
180
+ ··· 201040.u + 137100.
60.9537u
181
+ 14.5660u
180
+ ··· 97088.2u + 62950.8
a
1
=
120.003u
181
+ 19.8936u
180
+ ··· 159392.u + 112213.
71.7888u
181
+ 14.0222u
180
+ ··· 108196.u + 71970.7
a
8
=
80.9232u
181
+ 12.1782u
180
+ ··· 103952.u + 74149.7
60.9537u
181
+ 14.5660u
180
+ ··· 97088.2u + 62950.8
a
3
=
84.3228u
181
6.07795u
180
+ ··· + 96339.5u 76337.0
82.9056u
181
13.0190u
180
+ ··· + 117637.u 82031.7
a
2
=
55.6039u
181
+ 6.99742u
180
+ ··· 70181.4u + 51777.3
46.9689u
181
+ 8.17406u
180
+ ··· 62154.9u + 41969.3
a
7
=
133.108u
181
+ 23.5681u
180
+ ··· 184287.u + 127300.
40.4958u
181
+ 10.4740u
180
+ ··· 68001.0u + 43293.3
a
10
=
163.280u
181
+ 30.9427u
180
+ ··· 239334.u + 161713.
29.0074u
181
+ 6.92794u
180
+ ··· 51325.4u + 32705.8
a
6
=
121.019u
181
+ 24.4340u
180
+ ··· 183076.u + 122441.
0.820038u
181
+ 2.02066u
180
+ ··· 7688.34u + 4101.54
(ii) Obstruction class = 1
(iii) Cusp Shapes = 108.123u
181
+ 31.9670u
180
+ ··· 230810.u + 140442.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
182
+ 88u
181
+ ··· + 1248578u + 100489
c
2
, c
5
u
182
+ 4u
181
+ ··· 2136u 317
c
3
u
182
+ 2u
181
+ ··· + 9357303u 1023065
c
4
, c
11
u
182
+ u
181
+ ··· 206u + 821
c
6
, c
9
u
182
11u
181
+ ··· 271145u 27293
c
7
u
182
10u
181
+ ··· + 14736466u + 633233
c
8
u
182
+ 12u
181
+ ··· + 9037u + 1501
c
10
u
182
+ 18u
181
+ ··· 267553107u 15364313
c
12
u
182
4u
181
+ ··· 15899u 1117
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
182
+ 28y
181
+ ··· + 493256419046y + 10098039121
c
2
, c
5
y
182
88y
181
+ ··· 1248578y + 100489
c
3
y
182
24y
181
+ ··· 76495395788829y + 1046661994225
c
4
, c
11
y
182
113y
181
+ ··· 31772444y + 674041
c
6
, c
9
y
182
+ 103y
181
+ ··· + 14649934201y + 744907849
c
7
y
182
24y
181
+ ··· 93975110617920y + 400984032289
c
8
y
182
+ 28y
181
+ ··· 226333749y + 2253001
c
10
y
182
+ 10y
181
+ ··· 449099208347609y + 236062113961969
c
12
y
182
+ 38y
181
+ ··· 36140519y + 1247689
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.967487 + 0.254898I
a = 0.30773 + 2.82009I
b = 0.527290 + 0.418739I
3.12735 10.86090I 0
u = 0.967487 0.254898I
a = 0.30773 2.82009I
b = 0.527290 0.418739I
3.12735 + 10.86090I 0
u = 0.972948 + 0.203366I
a = 0.58964 2.90107I
b = 0.309357 0.446463I
1.38924 + 5.27013I 0
u = 0.972948 0.203366I
a = 0.58964 + 2.90107I
b = 0.309357 + 0.446463I
1.38924 5.27013I 0
u = 0.964022 + 0.232324I
a = 1.145130 0.287648I
b = 1.94767 0.06654I
5.72746 + 3.46987I 0
u = 0.964022 0.232324I
a = 1.145130 + 0.287648I
b = 1.94767 + 0.06654I
5.72746 3.46987I 0
u = 0.835164 + 0.566635I
a = 0.644360 0.085011I
b = 0.643442 0.474885I
0.17421 + 2.27474I 0
u = 0.835164 0.566635I
a = 0.644360 + 0.085011I
b = 0.643442 + 0.474885I
0.17421 2.27474I 0
u = 0.087874 + 1.011160I
a = 0.288761 + 0.253025I
b = 0.450031 + 0.263768I
2.76742 + 1.88734I 0
u = 0.087874 1.011160I
a = 0.288761 0.253025I
b = 0.450031 0.263768I
2.76742 1.88734I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.190909 + 0.964588I
a = 0.151054 0.089980I
b = 0.766391 + 0.876174I
2.70708 + 3.46168I 0
u = 0.190909 0.964588I
a = 0.151054 + 0.089980I
b = 0.766391 0.876174I
2.70708 3.46168I 0
u = 0.177215 + 0.965718I
a = 0.127514 + 0.154046I
b = 0.788455 1.005380I
0.75906 8.61755I 0
u = 0.177215 0.965718I
a = 0.127514 0.154046I
b = 0.788455 + 1.005380I
0.75906 + 8.61755I 0
u = 0.188554 + 1.008270I
a = 0.074830 0.279695I
b = 0.815872 0.134276I
1.59563 + 4.51296I 0
u = 0.188554 1.008270I
a = 0.074830 + 0.279695I
b = 0.815872 + 0.134276I
1.59563 4.51296I 0
u = 0.224357 + 1.008210I
a = 0.154670 + 0.179447I
b = 0.702336 + 0.438773I
3.07783 + 0.66639I 0
u = 0.224357 1.008210I
a = 0.154670 0.179447I
b = 0.702336 0.438773I
3.07783 0.66639I 0
u = 0.881875 + 0.540906I
a = 0.776942 0.091144I
b = 0.622106 + 0.509657I
1.23669 7.22005I 0
u = 0.881875 0.540906I
a = 0.776942 + 0.091144I
b = 0.622106 0.509657I
1.23669 + 7.22005I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.018560 + 0.226948I
a = 1.68765 + 0.38404I
b = 2.28333 + 0.75686I
3.80799 + 10.86370I 0
u = 1.018560 0.226948I
a = 1.68765 0.38404I
b = 2.28333 0.75686I
3.80799 10.86370I 0
u = 1.015510 + 0.251706I
a = 1.312930 0.473605I
b = 1.86161 0.72946I
1.59790 6.03649I 0
u = 1.015510 0.251706I
a = 1.312930 + 0.473605I
b = 1.86161 + 0.72946I
1.59790 + 6.03649I 0
u = 1.040900 + 0.109055I
a = 0.81412 1.54675I
b = 0.575716 0.826385I
2.93164 + 1.40135I 0
u = 1.040900 0.109055I
a = 0.81412 + 1.54675I
b = 0.575716 + 0.826385I
2.93164 1.40135I 0
u = 0.181737 + 0.929233I
a = 0.294651 + 0.173941I
b = 0.444291 0.915303I
2.16280 1.55039I 0
u = 0.181737 0.929233I
a = 0.294651 0.173941I
b = 0.444291 + 0.915303I
2.16280 + 1.55039I 0
u = 1.056600 + 0.082970I
a = 0.26579 + 1.57419I
b = 0.90058 + 1.18850I
5.51601 + 3.60018I 0
u = 1.056600 0.082970I
a = 0.26579 1.57419I
b = 0.90058 1.18850I
5.51601 3.60018I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.902568 + 0.235395I
a = 0.555904 + 1.245760I
b = 1.154090 + 0.195908I
1.34326 + 2.98619I 0
u = 0.902568 0.235395I
a = 0.555904 1.245760I
b = 1.154090 0.195908I
1.34326 2.98619I 0
u = 0.966542 + 0.502109I
a = 0.572313 0.569869I
b = 0.320888 + 0.363036I
3.01269 2.23958I 0
u = 0.966542 0.502109I
a = 0.572313 + 0.569869I
b = 0.320888 0.363036I
3.01269 + 2.23958I 0
u = 0.125474 + 0.902003I
a = 0.219966 0.530351I
b = 0.727715 + 0.467107I
0.526852 0.632760I 0
u = 0.125474 0.902003I
a = 0.219966 + 0.530351I
b = 0.727715 0.467107I
0.526852 + 0.632760I 0
u = 1.044690 + 0.322840I
a = 0.595121 1.016790I
b = 0.826001 0.963467I
0.77669 4.47027I 0
u = 1.044690 0.322840I
a = 0.595121 + 1.016790I
b = 0.826001 + 0.963467I
0.77669 + 4.47027I 0
u = 0.904613
a = 0.111901
b = 1.33201
0.894512 0
u = 1.097740 + 0.153075I
a = 0.55490 + 2.13977I
b = 0.092630 + 1.284410I
7.74718 4.27725I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.097740 0.153075I
a = 0.55490 2.13977I
b = 0.092630 1.284410I
7.74718 + 4.27725I 0
u = 0.845654 + 0.269944I
a = 0.50394 1.69302I
b = 1.184740 0.161306I
0.869585 + 1.087340I 0
u = 0.845654 0.269944I
a = 0.50394 + 1.69302I
b = 1.184740 + 0.161306I
0.869585 1.087340I 0
u = 0.686245 + 0.884213I
a = 0.697850 0.543633I
b = 0.522071 0.953460I
1.93310 3.36486I 0
u = 0.686245 0.884213I
a = 0.697850 + 0.543633I
b = 0.522071 + 0.953460I
1.93310 + 3.36486I 0
u = 0.794036 + 0.346649I
a = 0.50176 2.09286I
b = 0.266950 1.366250I
0.63985 3.63929I 0
u = 0.794036 0.346649I
a = 0.50176 + 2.09286I
b = 0.266950 + 1.366250I
0.63985 + 3.63929I 0
u = 1.029160 + 0.477949I
a = 0.404807 + 0.839756I
b = 0.0919135 0.1001910I
3.12868 + 5.39424I 0
u = 1.029160 0.477949I
a = 0.404807 0.839756I
b = 0.0919135 + 0.1001910I
3.12868 5.39424I 0
u = 0.859021 + 0.068455I
a = 1.28643 + 1.53746I
b = 0.024971 + 1.198640I
4.57409 + 3.98923I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.859021 0.068455I
a = 1.28643 1.53746I
b = 0.024971 1.198640I
4.57409 3.98923I 0
u = 0.828816 + 0.233513I
a = 1.70869 + 1.06062I
b = 2.05532 + 0.02976I
0.70268 + 3.98023I 0
u = 0.828816 0.233513I
a = 1.70869 1.06062I
b = 2.05532 0.02976I
0.70268 3.98023I 0
u = 1.073330 + 0.389701I
a = 0.39369 + 1.49829I
b = 0.128585 + 1.390040I
2.42151 + 0.21578I 0
u = 1.073330 0.389701I
a = 0.39369 1.49829I
b = 0.128585 1.390040I
2.42151 0.21578I 0
u = 0.039549 + 1.143810I
a = 0.113502 0.244648I
b = 0.495855 0.488469I
3.02568 + 4.10336I 0
u = 0.039549 1.143810I
a = 0.113502 + 0.244648I
b = 0.495855 + 0.488469I
3.02568 4.10336I 0
u = 0.830570 + 0.190076I
a = 1.16119 + 2.45289I
b = 1.71178 + 1.17409I
0.79093 1.72256I 0
u = 0.830570 0.190076I
a = 1.16119 2.45289I
b = 1.71178 1.17409I
0.79093 + 1.72256I 0
u = 1.111580 + 0.293633I
a = 0.676713 0.864211I
b = 0.132839 0.819369I
2.18156 + 0.29500I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.111580 0.293633I
a = 0.676713 + 0.864211I
b = 0.132839 + 0.819369I
2.18156 0.29500I 0
u = 0.091803 + 1.149840I
a = 0.152431 + 0.040485I
b = 0.767848 + 0.977705I
2.3826 14.7160I 0
u = 0.091803 1.149840I
a = 0.152431 0.040485I
b = 0.767848 0.977705I
2.3826 + 14.7160I 0
u = 1.130360 + 0.243015I
a = 0.183032 + 1.263930I
b = 0.126383 + 0.781885I
2.18054 + 0.55221I 0
u = 1.130360 0.243015I
a = 0.183032 1.263930I
b = 0.126383 0.781885I
2.18054 0.55221I 0
u = 0.831880 + 0.140724I
a = 0.449526 + 1.305320I
b = 0.86648 + 1.12924I
6.01676 3.73627I 0
u = 0.831880 0.140724I
a = 0.449526 1.305320I
b = 0.86648 1.12924I
6.01676 + 3.73627I 0
u = 0.816362 + 0.202099I
a = 0.45395 2.55803I
b = 1.05437 1.31858I
2.01808 2.50159I 0
u = 0.816362 0.202099I
a = 0.45395 + 2.55803I
b = 1.05437 + 1.31858I
2.01808 + 2.50159I 0
u = 0.091974 + 1.163770I
a = 0.121939 0.091019I
b = 0.715818 0.903719I
0.11624 + 8.88617I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.091974 1.163770I
a = 0.121939 + 0.091019I
b = 0.715818 + 0.903719I
0.11624 8.88617I 0
u = 0.820782 + 0.032222I
a = 1.24352 1.26259I
b = 0.288376 0.805581I
1.97928 + 0.64810I 0
u = 0.820782 0.032222I
a = 1.24352 + 1.26259I
b = 0.288376 + 0.805581I
1.97928 0.64810I 0
u = 0.652670 + 0.491541I
a = 1.10110 + 1.73190I
b = 0.074773 + 1.411070I
2.15560 + 8.39299I 0
u = 0.652670 0.491541I
a = 1.10110 1.73190I
b = 0.074773 1.411070I
2.15560 8.39299I 0
u = 0.123985 + 1.192230I
a = 0.187716 + 0.214512I
b = 0.528592 + 0.944275I
5.97006 5.25269I 0
u = 0.123985 1.192230I
a = 0.187716 0.214512I
b = 0.528592 0.944275I
5.97006 + 5.25269I 0
u = 1.163770 + 0.287263I
a = 0.18328 + 2.07475I
b = 0.86881 + 1.19628I
7.39230 4.74598I 0
u = 1.163770 0.287263I
a = 0.18328 2.07475I
b = 0.86881 1.19628I
7.39230 + 4.74598I 0
u = 0.753493 + 0.263496I
a = 1.339370 0.396029I
b = 1.59112 + 0.32797I
2.05563 0.00213I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.753493 0.263496I
a = 1.339370 + 0.396029I
b = 1.59112 0.32797I
2.05563 + 0.00213I 0
u = 0.107950 + 0.785700I
a = 0.463913 + 0.664939I
b = 0.591399 0.651827I
0.69567 2.35740I 0
u = 0.107950 0.785700I
a = 0.463913 0.664939I
b = 0.591399 + 0.651827I
0.69567 + 2.35740I 0
u = 0.740181 + 0.211944I
a = 0.18516 2.40295I
b = 0.869246 + 0.000051I
1.24046 3.64897I 0
u = 0.740181 0.211944I
a = 0.18516 + 2.40295I
b = 0.869246 0.000051I
1.24046 + 3.64897I 0
u = 0.186853 + 0.745839I
a = 0.570063 0.226380I
b = 0.377541 + 1.061550I
4.93131 + 3.00209I 0
u = 0.186853 0.745839I
a = 0.570063 + 0.226380I
b = 0.377541 1.061550I
4.93131 3.00209I 0
u = 0.756680 + 0.127634I
a = 0.26849 + 2.59397I
b = 0.553438 + 0.106524I
1.95300 0.85678I 0
u = 0.756680 0.127634I
a = 0.26849 2.59397I
b = 0.553438 0.106524I
1.95300 + 0.85678I 0
u = 0.344323 + 0.660503I
a = 0.591243 + 0.061273I
b = 0.487752 0.795580I
2.28977 + 1.07163I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.344323 0.660503I
a = 0.591243 0.061273I
b = 0.487752 + 0.795580I
2.28977 1.07163I 0
u = 1.199300 + 0.373122I
a = 0.19788 1.95359I
b = 1.08041 1.28324I
9.14257 + 7.70288I 0
u = 1.199300 0.373122I
a = 0.19788 + 1.95359I
b = 1.08041 + 1.28324I
9.14257 7.70288I 0
u = 1.079450 + 0.663461I
a = 0.955256 0.403685I
b = 0.339660 0.998737I
7.33039 0.30758I 0
u = 1.079450 0.663461I
a = 0.955256 + 0.403685I
b = 0.339660 + 0.998737I
7.33039 + 0.30758I 0
u = 1.241750 + 0.253562I
a = 0.684281 + 0.911896I
b = 0.006589 + 1.029910I
4.23859 + 4.48465I 0
u = 1.241750 0.253562I
a = 0.684281 0.911896I
b = 0.006589 1.029910I
4.23859 4.48465I 0
u = 1.250080 + 0.232396I
a = 1.14474 1.42100I
b = 0.399400 0.722182I
7.09566 10.38340I 0
u = 1.250080 0.232396I
a = 1.14474 + 1.42100I
b = 0.399400 + 0.722182I
7.09566 + 10.38340I 0
u = 1.265370 + 0.176655I
a = 0.64177 1.82730I
b = 1.02336 1.67538I
9.01501 + 2.67631I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.265370 0.176655I
a = 0.64177 + 1.82730I
b = 1.02336 + 1.67538I
9.01501 2.67631I 0
u = 1.268980 + 0.150779I
a = 1.03357 + 1.68922I
b = 0.270307 + 0.624618I
4.47587 + 4.20612I 0
u = 1.268980 0.150779I
a = 1.03357 1.68922I
b = 0.270307 0.624618I
4.47587 4.20612I 0
u = 1.232410 + 0.390277I
a = 0.522585 + 1.014120I
b = 0.439523 + 1.066630I
6.60849 2.65473I 0
u = 1.232410 0.390277I
a = 0.522585 1.014120I
b = 0.439523 1.066630I
6.60849 + 2.65473I 0
u = 1.258340 + 0.337700I
a = 0.00392 + 1.63921I
b = 0.98995 + 1.28321I
6.79341 4.56023I 0
u = 1.258340 0.337700I
a = 0.00392 1.63921I
b = 0.98995 1.28321I
6.79341 + 4.56023I 0
u = 1.247690 + 0.386127I
a = 0.32318 1.66360I
b = 0.95670 1.37948I
9.09310 + 0.98977I 0
u = 1.247690 0.386127I
a = 0.32318 + 1.66360I
b = 0.95670 + 1.37948I
9.09310 0.98977I 0
u = 1.190540 + 0.577083I
a = 0.330241 0.698491I
b = 0.637800 0.621744I
0.41051 + 2.49024I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.190540 0.577083I
a = 0.330241 + 0.698491I
b = 0.637800 + 0.621744I
0.41051 2.49024I 0
u = 1.201020 + 0.595854I
a = 0.789266 0.964724I
b = 0.101052 1.388490I
7.61925 8.13804I 0
u = 1.201020 0.595854I
a = 0.789266 + 0.964724I
b = 0.101052 + 1.388490I
7.61925 + 8.13804I 0
u = 1.250390 + 0.505659I
a = 0.000169 + 1.368790I
b = 0.534564 + 0.877548I
1.70396 + 0.79317I 0
u = 1.250390 0.505659I
a = 0.000169 1.368790I
b = 0.534564 0.877548I
1.70396 0.79317I 0
u = 0.490023 + 0.426406I
a = 0.62903 1.96581I
b = 0.838322 0.462429I
4.57982 0.64855I 0
u = 0.490023 0.426406I
a = 0.62903 + 1.96581I
b = 0.838322 + 0.462429I
4.57982 + 0.64855I 0
u = 1.243620 + 0.530660I
a = 0.06973 1.50158I
b = 0.756744 1.077000I
0.16242 6.09615I 0
u = 1.243620 0.530660I
a = 0.06973 + 1.50158I
b = 0.756744 + 1.077000I
0.16242 + 6.09615I 0
u = 1.327170 + 0.274433I
a = 0.38436 + 1.45530I
b = 1.15380 + 1.30447I
6.32752 4.77261I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.327170 0.274433I
a = 0.38436 1.45530I
b = 1.15380 1.30447I
6.32752 + 4.77261I 0
u = 1.250580 + 0.544743I
a = 0.20568 1.64799I
b = 0.98355 1.32703I
0.60284 8.89547I 0
u = 1.250580 0.544743I
a = 0.20568 + 1.64799I
b = 0.98355 + 1.32703I
0.60284 + 8.89547I 0
u = 1.348520 + 0.212276I
a = 0.64362 1.46962I
b = 1.30906 1.44394I
7.90985 + 9.00865I 0
u = 1.348520 0.212276I
a = 0.64362 + 1.46962I
b = 1.30906 + 1.44394I
7.90985 9.00865I 0
u = 1.252690 + 0.547183I
a = 0.25567 + 1.70519I
b = 1.04603 + 1.41864I
2.5811 + 14.0617I 0
u = 1.252690 0.547183I
a = 0.25567 1.70519I
b = 1.04603 1.41864I
2.5811 14.0617I 0
u = 1.258110 + 0.545589I
a = 0.33758 + 1.48795I
b = 0.76343 + 1.44186I
5.49882 + 6.94092I 0
u = 1.258110 0.545589I
a = 0.33758 1.48795I
b = 0.76343 1.44186I
5.49882 6.94092I 0
u = 0.563917 + 0.234469I
a = 1.396420 + 0.070335I
b = 0.902138 + 0.405808I
0.36641 3.02530I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.563917 0.234469I
a = 1.396420 0.070335I
b = 0.902138 0.405808I
0.36641 + 3.02530I 0
u = 1.302430 + 0.497353I
a = 0.002203 + 1.382010I
b = 0.82900 + 1.38995I
4.76193 + 7.14291I 0
u = 1.302430 0.497353I
a = 0.002203 1.382010I
b = 0.82900 1.38995I
4.76193 7.14291I 0
u = 1.206260 + 0.703503I
a = 0.575121 + 0.588176I
b = 0.070606 + 0.951096I
4.26061 + 4.53255I 0
u = 1.206260 0.703503I
a = 0.575121 0.588176I
b = 0.070606 0.951096I
4.26061 4.53255I 0
u = 0.499712 + 0.328573I
a = 1.346910 + 0.056551I
b = 1.064240 0.432848I
1.92088 + 8.14717I 0
u = 0.499712 0.328573I
a = 1.346910 0.056551I
b = 1.064240 + 0.432848I
1.92088 8.14717I 0
u = 1.279260 + 0.585636I
a = 0.212322 + 0.711208I
b = 0.771852 + 0.657770I
1.36807 7.95981I 0
u = 1.279260 0.585636I
a = 0.212322 0.711208I
b = 0.771852 0.657770I
1.36807 + 7.95981I 0
u = 0.458083 + 0.375316I
a = 1.014560 + 0.017135I
b = 0.933547 + 0.428630I
1.48452 + 0.24598I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.458083 0.375316I
a = 1.014560 0.017135I
b = 0.933547 0.428630I
1.48452 0.24598I 0
u = 1.35920 + 0.46098I
a = 0.33236 1.40819I
b = 0.478055 0.796358I
1.33627 + 3.25688I 0
u = 1.35920 0.46098I
a = 0.33236 + 1.40819I
b = 0.478055 + 0.796358I
1.33627 3.25688I 0
u = 0.137136 + 0.522429I
a = 1.35737 + 0.93214I
b = 0.236107 0.701864I
0.66176 + 3.13185I 0
u = 0.137136 0.522429I
a = 1.35737 0.93214I
b = 0.236107 + 0.701864I
0.66176 3.13185I 0
u = 1.35284 + 0.54975I
a = 0.239246 + 1.386270I
b = 0.680725 + 0.959726I
1.11529 9.99689I 0
u = 1.35284 0.54975I
a = 0.239246 1.386270I
b = 0.680725 0.959726I
1.11529 + 9.99689I 0
u = 0.090290 + 0.531560I
a = 0.809875 0.180341I
b = 0.761436 + 0.989699I
5.52094 4.14895I 0
u = 0.090290 0.531560I
a = 0.809875 + 0.180341I
b = 0.761436 0.989699I
5.52094 + 4.14895I 0
u = 1.37301 + 0.50046I
a = 0.236119 1.185890I
b = 1.08257 1.15709I
5.11354 4.53270I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.37301 0.50046I
a = 0.236119 + 1.185890I
b = 1.08257 + 1.15709I
5.11354 + 4.53270I 0
u = 1.34145 + 0.58069I
a = 0.15394 1.61859I
b = 1.01784 1.39051I
6.3143 + 20.7901I 0
u = 1.34145 0.58069I
a = 0.15394 + 1.61859I
b = 1.01784 + 1.39051I
6.3143 20.7901I 0
u = 1.34340 + 0.58186I
a = 0.16385 + 1.56913I
b = 0.95738 + 1.31261I
3.8297 14.9948I 0
u = 1.34340 0.58186I
a = 0.16385 1.56913I
b = 0.95738 1.31261I
3.8297 + 14.9948I 0
u = 1.34658 + 0.59072I
a = 0.25884 1.54502I
b = 0.75965 1.35910I
9.8712 + 11.4792I 0
u = 1.34658 0.59072I
a = 0.25884 + 1.54502I
b = 0.75965 + 1.35910I
9.8712 11.4792I 0
u = 0.00527 + 1.48621I
a = 0.102694 + 0.138749I
b = 0.008483 0.159656I
2.73298 + 1.48892I 0
u = 0.00527 1.48621I
a = 0.102694 0.138749I
b = 0.008483 + 0.159656I
2.73298 1.48892I 0
u = 1.47579 + 0.28984I
a = 0.549226 1.063220I
b = 0.109329 0.862747I
11.80630 0.40330I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.47579 0.28984I
a = 0.549226 + 1.063220I
b = 0.109329 + 0.862747I
11.80630 + 0.40330I 0
u = 0.464602 + 0.150603I
a = 1.16388 3.54937I
b = 0.766226 1.151040I
2.28151 8.69540I 0. + 4.30114I
u = 0.464602 0.150603I
a = 1.16388 + 3.54937I
b = 0.766226 + 1.151040I
2.28151 + 8.69540I 0. 4.30114I
u = 0.40847 + 1.49083I
a = 0.019917 0.175940I
b = 0.0426896 + 0.1019610I
2.46139 + 4.34383I 0
u = 0.40847 1.49083I
a = 0.019917 + 0.175940I
b = 0.0426896 0.1019610I
2.46139 4.34383I 0
u = 1.45120 + 0.54244I
a = 0.321634 0.816869I
b = 1.046230 0.694732I
3.60511 10.20840I 0
u = 1.45120 0.54244I
a = 0.321634 + 0.816869I
b = 1.046230 + 0.694732I
3.60511 + 10.20840I 0
u = 0.443920
a = 1.06128
b = 0.0546188
0.910151 11.4070
u = 1.44146 + 0.60882I
a = 0.127731 + 0.715132I
b = 0.781262 + 0.679976I
2.31935 + 5.53454I 0
u = 1.44146 0.60882I
a = 0.127731 0.715132I
b = 0.781262 0.679976I
2.31935 5.53454I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.53405 + 0.33866I
a = 0.394386 + 0.735351I
b = 0.039617 + 0.817119I
5.43574 2.99336I 0
u = 1.53405 0.33866I
a = 0.394386 0.735351I
b = 0.039617 0.817119I
5.43574 + 2.99336I 0
u = 1.53169 + 0.37881I
a = 0.504272 0.638100I
b = 0.016873 0.840689I
7.77632 + 8.84108I 0
u = 1.53169 0.37881I
a = 0.504272 + 0.638100I
b = 0.016873 + 0.840689I
7.77632 8.84108I 0
u = 0.045591 + 0.419352I
a = 2.06623 0.13714I
b = 0.041357 + 0.585616I
1.84649 + 1.49859I 1.71665 3.18263I
u = 0.045591 0.419352I
a = 2.06623 + 0.13714I
b = 0.041357 0.585616I
1.84649 1.49859I 1.71665 + 3.18263I
u = 0.340065 + 0.227248I
a = 0.06323 + 3.57673I
b = 0.555145 + 0.892699I
0.13863 + 3.60138I 0.707136 1.018842I
u = 0.340065 0.227248I
a = 0.06323 3.57673I
b = 0.555145 0.892699I
0.13863 3.60138I 0.707136 + 1.018842I
u = 0.192999 + 0.295018I
a = 1.077820 + 0.093282I
b = 0.992207 0.758059I
4.55239 + 2.14279I 0.84674 + 3.42738I
u = 0.192999 0.295018I
a = 1.077820 0.093282I
b = 0.992207 + 0.758059I
4.55239 2.14279I 0.84674 3.42738I
22
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.65412 + 0.03387I
a = 0.169939 1.396720I
b = 0.002160 0.831633I
11.87070 0.00423I 0
u = 1.65412 0.03387I
a = 0.169939 + 1.396720I
b = 0.002160 + 0.831633I
11.87070 + 0.00423I 0
23
II. I
u
2
=
h2.90×10
52
u
46
+1.98×10
52
u
45
+· · ·+1.56×10
51
b+1.34×10
53
, 1.15×10
54
u
46
+
3.15 × 10
53
u
45
+ · · · + 1.01 × 10
53
a + 2.17 × 10
54
, u
47
14u
45
+ · · · + 22u 5i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
12
=
1
u
2
a
5
=
u
u
3
+ u
a
9
=
11.3772u
46
3.11604u
45
+ ··· + 12.7802u 21.4328
18.6560u
46
12.7628u
45
+ ··· + 276.348u 86.3588
a
1
=
4.43668u
46
+ 0.763475u
45
+ ··· + 111.108u 38.3966
1.70932u
46
4.54241u
45
+ ··· + 108.873u 15.0617
a
8
=
7.27883u
46
+ 9.64675u
45
+ ··· 263.568u + 64.9260
18.6560u
46
12.7628u
45
+ ··· + 276.348u 86.3588
a
3
=
2.71300u
46
+ 5.20585u
45
+ ··· + 72.2141u 27.8985
0.791965u
46
+ 7.72928u
45
+ ··· 376.925u + 95.4057
a
2
=
21.8719u
46
+ 1.26403u
45
+ ··· + 84.7675u + 20.1723
2.68860u
46
0.337691u
45
+ ··· 95.9220u + 24.6307
a
7
=
4.43230u
46
+ 4.59548u
45
+ ··· 148.787u + 19.5765
14.3067u
46
9.75470u
45
+ ··· + 214.139u 66.2657
a
10
=
5.21616u
46
+ 12.4608u
45
+ ··· 355.423u + 80.1633
6.63107u
46
+ 2.48523u
45
+ ··· 97.2484u + 5.58692
a
6
=
21.3283u
46
1.97448u
45
+ ··· + 40.9224u + 35.5953
1.12322u
46
4.68109u
45
+ ··· + 90.5828u 18.9323
(ii) Obstruction class = 1
(iii) Cusp Shapes = 31.3541u
46
23.9200u
45
+ ··· + 698.106u 92.0366
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
47
27u
46
+ ··· + 34u 1
c
2
u
47
+ 3u
46
+ ··· + 4u 1
c
3
u
47
+ u
46
+ ··· + 5u 1
c
4
u
47
14u
45
+ ··· + 22u + 5
c
5
u
47
3u
46
+ ··· + 4u + 1
c
6
u
47
+ 18u
46
+ ··· + 73u + 5
c
7
u
47
+ 3u
46
+ ··· 18u + 5
c
8
u
47
+ 5u
46
+ ··· + 3u + 1
c
9
u
47
18u
46
+ ··· + 73u 5
c
10
u
47
+ u
46
+ ··· 33u + 5
c
11
u
47
14u
45
+ ··· + 22u 5
c
12
u
47
+ 3u
46
+ ··· + 7u 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
47
+ y
46
+ ··· + 62y 1
c
2
, c
5
y
47
27y
46
+ ··· + 34y 1
c
3
y
47
+ 13y
46
+ ··· + 29y 1
c
4
, c
11
y
47
28y
46
+ ··· + 604y 25
c
6
, c
9
y
47
+ 24y
46
+ ··· 521y 25
c
7
y
47
23y
46
+ ··· + 344y 25
c
8
y
47
11y
46
+ ··· 7y 1
c
10
y
47
21y
46
+ ··· + 69y 25
c
12
y
47
+ 27y
46
+ ··· 5y 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.464174 + 0.870325I
a = 0.943277 + 0.252341I
b = 0.520750 + 0.880085I
2.34055 + 2.89236I 9.31056 + 0.I
u = 0.464174 0.870325I
a = 0.943277 0.252341I
b = 0.520750 0.880085I
2.34055 2.89236I 9.31056 + 0.I
u = 0.908286 + 0.225806I
a = 0.93278 + 1.40918I
b = 1.61302 + 0.08073I
0.10624 + 3.79429I 11.66811 6.10729I
u = 0.908286 0.225806I
a = 0.93278 1.40918I
b = 1.61302 0.08073I
0.10624 3.79429I 11.66811 + 6.10729I
u = 0.851476 + 0.294853I
a = 0.342248 1.087160I
b = 1.180730 + 0.029589I
1.090700 0.120524I 3.56317 + 4.82730I
u = 0.851476 0.294853I
a = 0.342248 + 1.087160I
b = 1.180730 0.029589I
1.090700 + 0.120524I 3.56317 4.82730I
u = 0.883980 + 0.159185I
a = 0.77981 + 2.38701I
b = 1.53030 + 0.80147I
0.35671 1.97271I 10.80786 + 6.63303I
u = 0.883980 0.159185I
a = 0.77981 2.38701I
b = 1.53030 0.80147I
0.35671 + 1.97271I 10.80786 6.63303I
u = 0.846541 + 0.143784I
a = 0.11073 2.42188I
b = 1.044370 0.749226I
1.53193 2.06909I 3.03438 1.39616I
u = 0.846541 0.143784I
a = 0.11073 + 2.42188I
b = 1.044370 + 0.749226I
1.53193 + 2.06909I 3.03438 + 1.39616I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.832459 + 0.156906I
a = 0.42961 2.03983I
b = 0.738592 0.362930I
1.09044 4.47000I 2.59037 + 2.58099I
u = 0.832459 0.156906I
a = 0.42961 + 2.03983I
b = 0.738592 + 0.362930I
1.09044 + 4.47000I 2.59037 2.58099I
u = 1.062980 + 0.468044I
a = 0.283714 0.281880I
b = 0.462117 + 0.105249I
2.43860 3.68515I 0
u = 1.062980 0.468044I
a = 0.283714 + 0.281880I
b = 0.462117 0.105249I
2.43860 + 3.68515I 0
u = 0.802681 + 0.105385I
a = 1.18167 + 2.17345I
b = 1.113360 + 0.580955I
3.13213 + 9.51085I 6.58393 7.56950I
u = 0.802681 0.105385I
a = 1.18167 2.17345I
b = 1.113360 0.580955I
3.13213 9.51085I 6.58393 + 7.56950I
u = 0.127319 + 0.780455I
a = 0.424025 0.067120I
b = 0.749630 + 0.001987I
3.27471 2.58421I 4.42623 + 4.53453I
u = 0.127319 0.780455I
a = 0.424025 + 0.067120I
b = 0.749630 0.001987I
3.27471 + 2.58421I 4.42623 4.53453I
u = 1.195450 + 0.298418I
a = 0.16527 + 2.02873I
b = 0.94937 + 1.60923I
7.90191 5.88237I 0
u = 1.195450 0.298418I
a = 0.16527 2.02873I
b = 0.94937 1.60923I
7.90191 + 5.88237I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.218980 + 0.237237I
a = 0.53325 1.80996I
b = 1.30166 1.29178I
8.15003 + 3.44640I 0
u = 1.218980 0.237237I
a = 0.53325 + 1.80996I
b = 1.30166 + 1.29178I
8.15003 3.44640I 0
u = 0.103910 + 0.700748I
a = 0.255921 + 0.825886I
b = 0.642637 0.401400I
0.042342 0.310715I 0.35673 + 1.97790I
u = 0.103910 0.700748I
a = 0.255921 0.825886I
b = 0.642637 + 0.401400I
0.042342 + 0.310715I 0.35673 1.97790I
u = 1.305640 + 0.178891I
a = 0.329280 0.958596I
b = 1.004600 0.385939I
5.58072 + 9.42974I 0
u = 1.305640 0.178891I
a = 0.329280 + 0.958596I
b = 1.004600 + 0.385939I
5.58072 9.42974I 0
u = 1.319910 + 0.171278I
a = 0.144853 + 1.146140I
b = 0.571070 + 0.471670I
3.71341 3.97336I 0
u = 1.319910 0.171278I
a = 0.144853 1.146140I
b = 0.571070 0.471670I
3.71341 + 3.97336I 0
u = 1.274470 + 0.534342I
a = 0.044487 1.288780I
b = 0.73918 1.39356I
5.22442 8.06410I 0
u = 1.274470 0.534342I
a = 0.044487 + 1.288780I
b = 0.73918 + 1.39356I
5.22442 + 8.06410I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.606511 + 0.106447I
a = 1.27711 + 0.72289I
b = 1.203870 0.322155I
5.31170 + 2.31563I 9.78601 0.43292I
u = 0.606511 0.106447I
a = 1.27711 0.72289I
b = 1.203870 + 0.322155I
5.31170 2.31563I 9.78601 + 0.43292I
u = 1.33381 + 0.53688I
a = 0.395698 1.023340I
b = 0.450728 0.721321I
1.43784 2.57775I 0
u = 1.33381 0.53688I
a = 0.395698 + 1.023340I
b = 0.450728 + 0.721321I
1.43784 + 2.57775I 0
u = 1.34770 + 0.51517I
a = 0.084794 + 1.121010I
b = 0.94188 + 1.17295I
4.32334 + 5.17369I 0
u = 1.34770 0.51517I
a = 0.084794 1.121010I
b = 0.94188 1.17295I
4.32334 5.17369I 0
u = 1.35524 + 0.60281I
a = 0.192018 + 0.888477I
b = 0.701107 + 0.781403I
1.80796 + 8.47959I 0
u = 1.35524 0.60281I
a = 0.192018 0.888477I
b = 0.701107 0.781403I
1.80796 8.47959I 0
u = 0.212485 + 0.432920I
a = 0.932247 0.265843I
b = 0.752489 0.914087I
4.86490 + 3.09871I 3.90878 3.28688I
u = 0.212485 0.432920I
a = 0.932247 + 0.265843I
b = 0.752489 + 0.914087I
4.86490 3.09871I 3.90878 + 3.28688I
32
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.04605 + 1.53095I
a = 0.0636720 0.0041572I
b = 0.169065 0.343459I
2.67031 1.62517I 0
u = 0.04605 1.53095I
a = 0.0636720 + 0.0041572I
b = 0.169065 + 0.343459I
2.67031 + 1.62517I 0
u = 0.39097 + 1.55235I
a = 0.0052671 + 0.0511749I
b = 0.004617 + 0.356914I
2.32739 4.35402I 0
u = 0.39097 1.55235I
a = 0.0052671 0.0511749I
b = 0.004617 0.356914I
2.32739 + 4.35402I 0
u = 0.307234
a = 1.53407
b = 0.750276
0.240630 0.671310
u = 1.69451 + 0.06714I
a = 0.075357 + 1.354430I
b = 0.056801 + 0.819170I
11.77540 0.34750I 0
u = 1.69451 0.06714I
a = 0.075357 1.354430I
b = 0.056801 0.819170I
11.77540 + 0.34750I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
27u
46
+ ··· + 34u 1)
· (u
182
+ 88u
181
+ ··· + 1248578u + 100489)
c
2
(u
47
+ 3u
46
+ ··· + 4u 1)(u
182
+ 4u
181
+ ··· 2136u 317)
c
3
(u
47
+ u
46
+ ··· + 5u 1)(u
182
+ 2u
181
+ ··· + 9357303u 1023065)
c
4
(u
47
14u
45
+ ··· + 22u + 5)(u
182
+ u
181
+ ··· 206u + 821)
c
5
(u
47
3u
46
+ ··· + 4u + 1)(u
182
+ 4u
181
+ ··· 2136u 317)
c
6
(u
47
+ 18u
46
+ ··· + 73u + 5)(u
182
11u
181
+ ··· 271145u 27293)
c
7
(u
47
+ 3u
46
+ ··· 18u + 5)
· (u
182
10u
181
+ ··· + 14736466u + 633233)
c
8
(u
47
+ 5u
46
+ ··· + 3u + 1)(u
182
+ 12u
181
+ ··· + 9037u + 1501)
c
9
(u
47
18u
46
+ ··· + 73u 5)(u
182
11u
181
+ ··· 271145u 27293)
c
10
(u
47
+ u
46
+ ··· 33u + 5)
· (u
182
+ 18u
181
+ ··· 267553107u 15364313)
c
11
(u
47
14u
45
+ ··· + 22u 5)(u
182
+ u
181
+ ··· 206u + 821)
c
12
(u
47
+ 3u
46
+ ··· + 7u 1)(u
182
4u
181
+ ··· 15899u 1117)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
47
+ y
46
+ ··· + 62y 1)
· (y
182
+ 28y
181
+ ··· + 493256419046y + 10098039121)
c
2
, c
5
(y
47
27y
46
+ ··· + 34y 1)
· (y
182
88y
181
+ ··· 1248578y + 100489)
c
3
(y
47
+ 13y
46
+ ··· + 29y 1)
· (y
182
24y
181
+ ··· 76495395788829y + 1046661994225)
c
4
, c
11
(y
47
28y
46
+ ··· + 604y 25)
· (y
182
113y
181
+ ··· 31772444y + 674041)
c
6
, c
9
(y
47
+ 24y
46
+ ··· 521y 25)
· (y
182
+ 103y
181
+ ··· + 14649934201y + 744907849)
c
7
(y
47
23y
46
+ ··· + 344y 25)
· (y
182
24y
181
+ ··· 93975110617920y + 400984032289)
c
8
(y
47
11y
46
+ ··· 7y 1)
· (y
182
+ 28y
181
+ ··· 226333749y + 2253001)
c
10
(y
47
21y
46
+ ··· + 69y 25)
· (y
182
+ 10y
181
+ ··· 449099208347609y + 236062113961969)
c
12
(y
47
+ 27y
46
+ ··· 5y 1)
· (y
182
+ 38y
181
+ ··· 36140519y + 1247689)
35