12a
0963
(K12a
0963
)
A knot diagram
1
Linearized knot diagam
4 6 10 12 8 11 3 5 1 7 2 9
Solving Sequence
9,12
1
5,10
4 2 3 8 6 7 11
c
12
c
9
c
4
c
1
c
3
c
8
c
5
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.25168 × 10
823
u
156
− 2.59445 × 10
823
u
155
+ ··· + 7.76883 × 10
823
b − 4.79193 × 10
825
,
− 3.11599 × 10
825
u
156
+ 2.47642 × 10
825
u
155
+ ··· + 1.40616 × 10
826
a + 5.05878 × 10
827
,
u
157
− 2u
156
+ ··· − 1089u + 181i
I
u
2
= h1.92631 × 10
42
u
46
− 3.43494 × 10
42
u
45
+ ··· + 7.75734 × 10
42
b + 1.10349 × 10
43
,
− 2.95227 × 10
43
u
46
+ 3.11133 × 10
43
u
45
+ ··· + 5.43014 × 10
43
a − 9.32130 × 10
43
, u
47
− u
46
+ ··· + 8u + 7i
* 2 irreducible components of dim
C
= 0, with total 204 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
= h3.25 × 10
823
u
156
− 2.59 × 10
823
u
155
+ · · · + 7.77 × 10
823
b − 4.79 ×
10
825
, −3.12 × 10
825
u
156
+ 2.48 × 10
825
u
155
+ · · · + 1.41 × 10
826
a + 5.06 ×
10
827
, u
157
− 2u
156
+ · · · − 1089u + 181i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
0.221596u
156
− 0.176112u
155
+ ··· + 213.321u − 35.9759
−0.418554u
156
+ 0.333957u
155
+ ··· − 317.116u + 61.6815
a
10
=
−u
−u
3
+ u
a
4
=
−0.196958u
156
+ 0.157845u
155
+ ··· − 103.794u + 25.7056
−0.418554u
156
+ 0.333957u
155
+ ··· − 317.116u + 61.6815
a
2
=
0.178853u
156
− 0.188599u
155
+ ··· + 119.981u − 39.6455
−0.0623607u
156
+ 0.0472106u
155
+ ··· − 53.5035u + 12.0020
a
3
=
0.268823u
156
− 0.214033u
155
+ ··· + 253.388u − 43.3447
−0.205428u
156
+ 0.161209u
155
+ ··· − 149.106u + 29.4286
a
8
=
0.173692u
156
− 0.162984u
155
+ ··· + 150.878u − 32.2694
0.0543462u
156
− 0.0363523u
155
+ ··· + 29.2802u − 2.81016
a
6
=
−0.231849u
156
+ 0.226710u
155
+ ··· − 264.361u + 53.3549
0.109896u
156
− 0.0881361u
155
+ ··· + 89.3275u − 19.1200
a
7
=
−0.00668521u
156
− 0.000568235u
155
+ ··· + 25.5452u − 11.8966
0.0533812u
156
− 0.0363507u
155
+ ··· + 48.9661u − 5.83195
a
11
=
0.0294108u
156
− 0.0135338u
155
+ ··· + 12.9035u + 6.64770
0.117190u
156
− 0.0887343u
155
+ ··· + 86.4006u − 17.0782
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.205349u
156
− 0.170433u
155
+ ··· + 170.257u − 38.4072
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
157
+ 5u
156
+ ··· + 11551514u − 666271
c
2
u
157
− u
156
+ ··· − 1628098428u − 107670653
c
3
u
157
+ u
156
+ ··· − 6882417969378u − 579271043533
c
4
u
157
− 37u
155
+ ··· + 445344963u − 17796191
c
5
, c
8
u
157
+ 10u
156
+ ··· − 968u − 181
c
6
, c
10
u
157
− 3u
156
+ ··· + 7u − 1
c
7
u
157
+ 38u
155
+ ··· + 132651545u − 435199883
c
9
, c
12
u
157
+ 2u
156
+ ··· − 1089u − 181
c
11
u
157
+ 12u
156
+ ··· + 844976503738u + 47066586319
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
157
− 49y
156
+ ··· + 104808094653642y −443917045441
c
2
y
157
+ 59y
156
+ ··· − 404534046342627964y −11592969517446409
c
3
y
157
+ 111y
156
+ ··· − 4.36 × 10
24
y −3.36 × 10
23
c
4
y
157
− 74y
156
+ ··· + 112157843337933533y −316704414108481
c
5
, c
8
y
157
+ 150y
156
+ ··· + 9673532y −32761
c
6
, c
10
y
157
+ 111y
156
+ ··· + 165y −1
c
7
y
157
+ 76y
156
+ ··· − 801491013938418801y −189398938163213689
c
9
, c
12
y
157
− 118y
156
+ ··· + 1444751y −32761
c
11
y
157
+ 84y
156
+ ··· + 1.62 × 10
22
y −2.22 × 10
21
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.911310 + 0.293013I
a = 0.422959 − 0.500306I
b = 0.675145 + 0.486620I
−1.96969 − 1.58228I 0
u = 0.911310 − 0.293013I
a = 0.422959 + 0.500306I
b = 0.675145 − 0.486620I
−1.96969 + 1.58228I 0
u = −0.387840 + 0.973856I
a = −1.200220 + 0.398785I
b = 1.255970 + 0.451783I
−5.67139 − 4.88778I 0
u = −0.387840 − 0.973856I
a = −1.200220 − 0.398785I
b = 1.255970 − 0.451783I
−5.67139 + 4.88778I 0
u = −1.058010 + 0.108048I
a = 1.078700 − 0.213102I
b = 0.635902 − 0.081974I
0.108417 + 0.376808I 0
u = −1.058010 − 0.108048I
a = 1.078700 + 0.213102I
b = 0.635902 + 0.081974I
0.108417 − 0.376808I 0
u = 1.062930 + 0.087493I
a = −0.704856 + 0.159930I
b = −1.22300 − 0.79175I
−1.27458 − 1.99100I 0
u = 1.062930 − 0.087493I
a = −0.704856 − 0.159930I
b = −1.22300 + 0.79175I
−1.27458 + 1.99100I 0
u = −1.059890 + 0.177175I
a = −0.232872 − 1.389900I
b = −0.959988 + 0.026640I
−7.39949 − 1.96456I 0
u = −1.059890 − 0.177175I
a = −0.232872 + 1.389900I
b = −0.959988 − 0.026640I
−7.39949 + 1.96456I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.285052 + 1.070700I
a = −1.116590 − 0.322100I
b = 0.904472 + 0.446905I
−3.72967 − 2.43277I 0
u = 0.285052 − 1.070700I
a = −1.116590 + 0.322100I
b = 0.904472 − 0.446905I
−3.72967 + 2.43277I 0
u = −1.083450 + 0.247951I
a = −0.644397 − 0.231290I
b = −1.34277 + 0.53989I
−3.56097 + 6.59812I 0
u = −1.083450 − 0.247951I
a = −0.644397 + 0.231290I
b = −1.34277 − 0.53989I
−3.56097 − 6.59812I 0
u = −0.071448 + 0.876093I
a = 0.807592 + 0.554786I
b = −0.542808 − 0.487692I
1.65200 − 2.03206I 0
u = −0.071448 − 0.876093I
a = 0.807592 − 0.554786I
b = −0.542808 + 0.487692I
1.65200 + 2.03206I 0
u = 0.025069 + 0.871018I
a = 0.324040 − 1.093510I
b = −0.724981 + 0.867463I
−4.55498 + 8.98621I 0
u = 0.025069 − 0.871018I
a = 0.324040 + 1.093510I
b = −0.724981 − 0.867463I
−4.55498 − 8.98621I 0
u = 0.816425 + 0.301933I
a = 0.888162 + 0.435117I
b = 0.369688 + 0.168423I
−2.25118 + 2.07318I 0
u = 0.816425 − 0.301933I
a = 0.888162 − 0.435117I
b = 0.369688 − 0.168423I
−2.25118 − 2.07318I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.562324 + 0.663290I
a = 0.300737 + 0.551236I
b = 0.312522 − 0.887888I
−1.93889 + 2.36574I 0
u = −0.562324 − 0.663290I
a = 0.300737 − 0.551236I
b = 0.312522 + 0.887888I
−1.93889 − 2.36574I 0
u = 0.109075 + 0.850935I
a = 1.45809 + 0.06873I
b = −0.421659 + 0.344018I
−4.13875 − 0.45277I 0
u = 0.109075 − 0.850935I
a = 1.45809 − 0.06873I
b = −0.421659 − 0.344018I
−4.13875 + 0.45277I 0
u = 0.203065 + 0.818259I
a = 0.426590 − 0.467011I
b = −0.117108 + 0.690407I
0.31892 − 2.30117I 0
u = 0.203065 − 0.818259I
a = 0.426590 + 0.467011I
b = −0.117108 − 0.690407I
0.31892 + 2.30117I 0
u = −1.127040 + 0.286631I
a = −0.155259 + 1.281970I
b = 1.02908 − 1.05517I
−7.06540 + 4.25964I 0
u = −1.127040 − 0.286631I
a = −0.155259 − 1.281970I
b = 1.02908 + 1.05517I
−7.06540 − 4.25964I 0
u = −0.511375 + 0.641545I
a = −1.15205 + 1.02638I
b = 0.945841 − 0.812489I
−6.15954 + 4.38374I 0
u = −0.511375 − 0.641545I
a = −1.15205 − 1.02638I
b = 0.945841 + 0.812489I
−6.15954 − 4.38374I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.146420 + 0.282827I
a = 0.059500 + 1.162600I
b = −2.47482 − 1.00807I
−5.86937 − 5.52403I 0
u = 1.146420 − 0.282827I
a = 0.059500 − 1.162600I
b = −2.47482 + 1.00807I
−5.86937 + 5.52403I 0
u = −0.209869 + 1.166200I
a = 1.122180 − 0.557720I
b = −1.089000 + 0.437874I
−9.80923 + 1.62435I 0
u = −0.209869 − 1.166200I
a = 1.122180 + 0.557720I
b = −1.089000 − 0.437874I
−9.80923 − 1.62435I 0
u = −0.409177 + 0.702159I
a = 1.241600 − 0.498069I
b = −0.090274 − 0.431184I
−4.77025 − 0.31291I 0
u = −0.409177 − 0.702159I
a = 1.241600 + 0.498069I
b = −0.090274 + 0.431184I
−4.77025 + 0.31291I 0
u = 1.189150 + 0.065835I
a = 1.32660 + 1.68779I
b = 0.582672 − 0.103953I
−10.58110 − 3.52794I 0
u = 1.189150 − 0.065835I
a = 1.32660 − 1.68779I
b = 0.582672 + 0.103953I
−10.58110 + 3.52794I 0
u = −0.105700 + 0.795367I
a = 0.47745 + 1.35701I
b = −0.715614 − 0.818067I
0.12808 − 2.69568I 0
u = −0.105700 − 0.795367I
a = 0.47745 − 1.35701I
b = −0.715614 + 0.818067I
0.12808 + 2.69568I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.203040 + 0.008942I
a = −0.198657 + 1.178480I
b = −0.74398 − 1.74170I
−5.90098 − 1.32698I 0
u = 1.203040 − 0.008942I
a = −0.198657 − 1.178480I
b = −0.74398 + 1.74170I
−5.90098 + 1.32698I 0
u = −1.219570 + 0.080866I
a = 0.21773 + 1.65618I
b = 0.679364 − 0.560900I
−8.15885 + 4.55843I 0
u = −1.219570 − 0.080866I
a = 0.21773 − 1.65618I
b = 0.679364 + 0.560900I
−8.15885 − 4.55843I 0
u = −1.226330 + 0.030478I
a = −0.078080 − 1.085440I
b = 1.42536 + 2.47249I
−12.4468 + 8.7063I 0
u = −1.226330 − 0.030478I
a = −0.078080 + 1.085440I
b = 1.42536 − 2.47249I
−12.4468 − 8.7063I 0
u = 1.229440 + 0.033233I
a = −0.140944 − 1.063410I
b = 1.81098 + 2.36753I
−8.10718 + 2.67612I 0
u = 1.229440 − 0.033233I
a = −0.140944 + 1.063410I
b = 1.81098 − 2.36753I
−8.10718 − 2.67612I 0
u = −1.223800 + 0.143688I
a = −0.688658 − 0.155320I
b = −0.947532 − 0.374202I
−8.01860 + 0.56370I 0
u = −1.223800 − 0.143688I
a = −0.688658 + 0.155320I
b = −0.947532 + 0.374202I
−8.01860 − 0.56370I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.192140 + 0.339484I
a = −0.295026 + 0.007479I
b = 1.26469 + 1.01291I
−8.38489 + 7.01477I 0
u = −1.192140 − 0.339484I
a = −0.295026 − 0.007479I
b = 1.26469 − 1.01291I
−8.38489 − 7.01477I 0
u = 0.187120 + 1.227880I
a = 1.116150 + 0.471964I
b = −1.040910 − 0.481051I
−5.44071 − 7.78794I 0
u = 0.187120 − 1.227880I
a = 1.116150 − 0.471964I
b = −1.040910 + 0.481051I
−5.44071 + 7.78794I 0
u = 1.211920 + 0.305750I
a = 0.103129 − 0.668493I
b = 1.213310 + 0.596760I
−2.65166 − 1.52279I 0
u = 1.211920 − 0.305750I
a = 0.103129 + 0.668493I
b = 1.213310 − 0.596760I
−2.65166 + 1.52279I 0
u = 1.226510 + 0.242806I
a = 1.328860 − 0.461346I
b = 0.813409 + 0.426128I
−8.77757 + 0.33371I 0
u = 1.226510 − 0.242806I
a = 1.328860 + 0.461346I
b = 0.813409 − 0.426128I
−8.77757 − 0.33371I 0
u = −1.248870 + 0.137665I
a = −0.425029 + 1.090960I
b = −0.319704 − 0.833737I
−8.21844 + 3.28429I 0
u = −1.248870 − 0.137665I
a = −0.425029 − 1.090960I
b = −0.319704 + 0.833737I
−8.21844 − 3.28429I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.157310 + 0.489575I
a = 0.220657 − 1.082950I
b = −2.02740 + 0.58217I
−8.20597 + 10.22550I 0
u = −1.157310 − 0.489575I
a = 0.220657 + 1.082950I
b = −2.02740 − 0.58217I
−8.20597 − 10.22550I 0
u = 0.532975 + 0.506131I
a = −0.475730 − 1.109100I
b = 0.079097 + 1.042380I
−1.19552 − 5.32895I 0
u = 0.532975 − 0.506131I
a = −0.475730 + 1.109100I
b = 0.079097 − 1.042380I
−1.19552 + 5.32895I 0
u = 1.194760 + 0.429563I
a = −0.365252 + 0.391335I
b = −0.609159 − 0.067017I
−2.12867 − 3.13973I 0
u = 1.194760 − 0.429563I
a = −0.365252 − 0.391335I
b = −0.609159 + 0.067017I
−2.12867 + 3.13973I 0
u = 1.118440 + 0.609576I
a = 0.428228 + 1.175980I
b = −0.782616 − 0.337010I
−6.14403 − 3.55452I 0
u = 1.118440 − 0.609576I
a = 0.428228 − 1.175980I
b = −0.782616 + 0.337010I
−6.14403 + 3.55452I 0
u = 1.275150 + 0.002952I
a = −0.261175 − 1.065170I
b = −1.48181 + 0.57404I
−11.73280 − 1.55484I 0
u = 1.275150 − 0.002952I
a = −0.261175 + 1.065170I
b = −1.48181 − 0.57404I
−11.73280 + 1.55484I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.201303 + 1.259530I
a = 1.069270 − 0.450583I
b = −1.046480 + 0.531440I
−9.9833 + 13.5973I 0
u = −0.201303 − 1.259530I
a = 1.069270 + 0.450583I
b = −1.046480 − 0.531440I
−9.9833 − 13.5973I 0
u = −1.218820 + 0.382319I
a = 0.997761 + 0.945068I
b = 0.852353 − 0.738063I
−3.30954 + 6.99042I 0
u = −1.218820 − 0.382319I
a = 0.997761 − 0.945068I
b = 0.852353 + 0.738063I
−3.30954 − 6.99042I 0
u = 1.261720 + 0.271546I
a = −0.274866 − 0.068292I
b = 1.30851 − 0.68247I
−4.28726 − 0.95064I 0
u = 1.261720 − 0.271546I
a = −0.274866 + 0.068292I
b = 1.30851 + 0.68247I
−4.28726 + 0.95064I 0
u = 1.220380 + 0.436218I
a = −0.209956 − 1.086730I
b = 1.23819 + 1.06369I
−7.53371 − 4.40226I 0
u = 1.220380 − 0.436218I
a = −0.209956 + 1.086730I
b = 1.23819 − 1.06369I
−7.53371 + 4.40226I 0
u = 0.390190 + 1.241450I
a = 0.225603 + 0.112248I
b = −0.0788818 + 0.0150552I
0.98104 − 2.36407I 0
u = 0.390190 − 1.241450I
a = 0.225603 − 0.112248I
b = −0.0788818 − 0.0150552I
0.98104 + 2.36407I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.304700 + 0.064009I
a = −0.202816 − 1.083110I
b = −1.071360 + 0.485002I
−8.50595 − 0.57835I 0
u = −1.304700 − 0.064009I
a = −0.202816 + 1.083110I
b = −1.071360 − 0.485002I
−8.50595 + 0.57835I 0
u = −1.305250 + 0.122767I
a = −0.104675 − 1.049100I
b = −1.81215 + 1.34415I
−12.39500 + 3.26323I 0
u = −1.305250 − 0.122767I
a = −0.104675 + 1.049100I
b = −1.81215 − 1.34415I
−12.39500 − 3.26323I 0
u = −1.285630 + 0.275375I
a = −0.509917 − 0.188009I
b = −1.083480 + 0.371298I
−4.36740 + 4.63711I 0
u = −1.285630 − 0.275375I
a = −0.509917 + 0.188009I
b = −1.083480 − 0.371298I
−4.36740 − 4.63711I 0
u = −1.263370 + 0.394223I
a = 0.304510 + 0.959034I
b = 1.128880 − 0.825849I
−2.11296 + 6.55075I 0
u = −1.263370 − 0.394223I
a = 0.304510 − 0.959034I
b = 1.128880 + 0.825849I
−2.11296 − 6.55075I 0
u = 1.282080 + 0.333002I
a = −0.515935 + 0.232992I
b = −1.240080 − 0.178040I
−7.77963 − 5.59755I 0
u = 1.282080 − 0.333002I
a = −0.515935 − 0.232992I
b = −1.240080 + 0.178040I
−7.77963 + 5.59755I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.323140 + 0.066085I
a = −0.133973 + 0.976479I
b = 1.55902 − 1.86120I
−12.86170 + 3.15445I 0
u = −1.323140 − 0.066085I
a = −0.133973 − 0.976479I
b = 1.55902 + 1.86120I
−12.86170 − 3.15445I 0
u = 1.334230 + 0.070752I
a = 0.401432 − 1.314610I
b = 0.965002 + 0.418389I
−14.1806 − 9.1584I 0
u = 1.334230 − 0.070752I
a = 0.401432 + 1.314610I
b = 0.965002 − 0.418389I
−14.1806 + 9.1584I 0
u = 0.053416 + 1.336190I
a = −0.994527 − 0.021397I
b = 1.117740 − 0.211272I
−8.14522 + 2.26381I 0
u = 0.053416 − 1.336190I
a = −0.994527 + 0.021397I
b = 1.117740 + 0.211272I
−8.14522 − 2.26381I 0
u = 0.082485 + 0.654656I
a = 0.0336564 + 0.1336630I
b = 0.749979 − 0.411677I
−3.97774 + 1.83394I 0
u = 0.082485 − 0.654656I
a = 0.0336564 − 0.1336630I
b = 0.749979 + 0.411677I
−3.97774 − 1.83394I 0
u = 1.283640 + 0.394667I
a = 0.818474 − 0.699626I
b = 1.001120 + 0.700906I
−8.4998 − 13.5199I 0
u = 1.283640 − 0.394667I
a = 0.818474 + 0.699626I
b = 1.001120 − 0.700906I
−8.4998 + 13.5199I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.309936 + 0.569902I
a = −1.80178 − 0.82346I
b = 1.186560 − 0.623080I
−3.35016 + 2.17414I 0. − 10.08503I
u = 0.309936 − 0.569902I
a = −1.80178 + 0.82346I
b = 1.186560 + 0.623080I
−3.35016 − 2.17414I 0. + 10.08503I
u = 0.632702 + 0.021856I
a = −0.316366 + 0.386584I
b = 0.388409 − 1.211850I
0.292023 + 0.985465I 0. + 6.38445I
u = 0.632702 − 0.021856I
a = −0.316366 − 0.386584I
b = 0.388409 + 1.211850I
0.292023 − 0.985465I 0. − 6.38445I
u = −0.032035 + 0.626297I
a = 0.00239 − 1.58337I
b = −0.774832 + 0.698228I
−5.02728 − 3.47358I 0. + 2.40010I
u = −0.032035 − 0.626297I
a = 0.00239 + 1.58337I
b = −0.774832 − 0.698228I
−5.02728 + 3.47358I 0. − 2.40010I
u = −0.460443 + 0.412363I
a = −0.093943 + 1.308690I
b = −0.021668 − 0.869632I
1.62290 + 1.91080I 9.73277 − 5.30227I
u = −0.460443 − 0.412363I
a = −0.093943 − 1.308690I
b = −0.021668 + 0.869632I
1.62290 − 1.91080I 9.73277 + 5.30227I
u = −1.353410 + 0.321476I
a = −0.222354 + 0.030091I
b = 0.962270 + 0.666542I
−8.98239 − 4.57847I 0
u = −1.353410 − 0.321476I
a = −0.222354 − 0.030091I
b = 0.962270 − 0.666542I
−8.98239 + 4.57847I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.386770 + 0.194395I
a = −0.477965 + 0.091290I
b = −1.032300 − 0.556440I
−8.08998 − 5.03019I 0
u = 1.386770 − 0.194395I
a = −0.477965 − 0.091290I
b = −1.032300 + 0.556440I
−8.08998 + 5.03019I 0
u = 0.195324 + 0.540720I
a = 0.161334 − 0.384132I
b = 0.317580 + 0.669189I
0.01319 − 1.53438I 0. + 2.18135I
u = 0.195324 − 0.540720I
a = 0.161334 + 0.384132I
b = 0.317580 − 0.669189I
0.01319 + 1.53438I 0. − 2.18135I
u = −0.436025 + 0.374350I
a = −0.158934 − 0.238668I
b = 0.765839 + 0.994186I
−1.45841 − 3.84960I 8.80545 − 1.94078I
u = −0.436025 − 0.374350I
a = −0.158934 + 0.238668I
b = 0.765839 − 0.994186I
−1.45841 + 3.84960I 8.80545 + 1.94078I
u = −1.37025 + 0.41816I
a = −0.348247 − 0.208090I
b = −0.654502 + 0.392807I
−4.65108 + 6.89732I 0
u = −1.37025 − 0.41816I
a = −0.348247 + 0.208090I
b = −0.654502 − 0.392807I
−4.65108 − 6.89732I 0
u = 1.47572 + 0.12042I
a = −0.127528 + 0.972093I
b = −0.869101 − 0.330100I
−12.58140 + 1.19304I 0
u = 1.47572 − 0.12042I
a = −0.127528 − 0.972093I
b = −0.869101 + 0.330100I
−12.58140 − 1.19304I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44330 + 0.46551I
a = 0.008890 − 1.136310I
b = 1.46674 + 0.96219I
−15.0746 − 7.2788I 0
u = 1.44330 − 0.46551I
a = 0.008890 + 1.136310I
b = 1.46674 − 0.96219I
−15.0746 + 7.2788I 0
u = 1.49989 + 0.32562I
a = 0.038446 + 0.896131I
b = −1.61629 − 1.25506I
−12.6069 − 8.2225I 0
u = 1.49989 − 0.32562I
a = 0.038446 − 0.896131I
b = −1.61629 + 1.25506I
−12.6069 + 8.2225I 0
u = −1.46256 + 0.47052I
a = 0.123796 − 0.904738I
b = −1.52745 + 0.88864I
−9.19632 + 7.97024I 0
u = −1.46256 − 0.47052I
a = 0.123796 + 0.904738I
b = −1.52745 − 0.88864I
−9.19632 − 7.97024I 0
u = −1.45476 + 0.49908I
a = −0.059503 + 1.102770I
b = 1.52288 − 0.99576I
−10.6541 + 13.7630I 0
u = −1.45476 − 0.49908I
a = −0.059503 − 1.102770I
b = 1.52288 + 0.99576I
−10.6541 − 13.7630I 0
u = 1.47393 + 0.50971I
a = −0.059005 − 1.061220I
b = 1.55556 + 0.98856I
−15.3003 − 19.7302I 0
u = 1.47393 − 0.50971I
a = −0.059005 + 1.061220I
b = 1.55556 − 0.98856I
−15.3003 + 19.7302I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43365 + 0.66796I
a = −0.455394 + 0.775518I
b = 1.231470 − 0.277788I
−13.5574 + 5.1779I 0
u = −1.43365 − 0.66796I
a = −0.455394 − 0.775518I
b = 1.231470 + 0.277788I
−13.5574 − 5.1779I 0
u = 1.48254 + 0.59930I
a = 0.176757 + 0.872906I
b = −1.49086 − 0.58990I
−12.7827 − 9.1355I 0
u = 1.48254 − 0.59930I
a = 0.176757 − 0.872906I
b = −1.49086 + 0.58990I
−12.7827 + 9.1355I 0
u = −1.53863 + 0.51193I
a = 0.131537 − 0.893803I
b = −1.074660 + 0.438106I
−13.4470 + 4.4325I 0
u = −1.53863 − 0.51193I
a = 0.131537 + 0.893803I
b = −1.074660 − 0.438106I
−13.4470 − 4.4325I 0
u = 1.53829 + 0.64750I
a = −0.390426 − 0.751644I
b = 1.056920 + 0.397211I
−9.57892 + 0.61989I 0
u = 1.53829 − 0.64750I
a = −0.390426 + 0.751644I
b = 1.056920 − 0.397211I
−9.57892 − 0.61989I 0
u = 0.321079 + 0.035122I
a = 0.12364 + 3.61617I
b = 0.504977 + 0.588514I
−3.11018 − 1.32399I −1.76701 + 6.87746I
u = 0.321079 − 0.035122I
a = 0.12364 − 3.61617I
b = 0.504977 − 0.588514I
−3.11018 + 1.32399I −1.76701 − 6.87746I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.63395 + 0.45377I
a = 0.104676 − 0.820257I
b = −1.04982 + 1.11229I
−9.62314 + 9.61798I 0
u = −1.63395 − 0.45377I
a = 0.104676 + 0.820257I
b = −1.04982 − 1.11229I
−9.62314 − 9.61798I 0
u = 1.60077 + 0.57239I
a = 0.167160 + 0.830932I
b = −0.958851 − 0.760911I
−7.70800 − 6.00365I 0
u = 1.60077 − 0.57239I
a = 0.167160 − 0.830932I
b = −0.958851 + 0.760911I
−7.70800 + 6.00365I 0
u = 0.266358 + 0.076924I
a = 0.69309 − 5.90952I
b = −0.628211 + 0.726558I
−7.82699 + 2.81005I −2.05004 − 4.17671I
u = 0.266358 − 0.076924I
a = 0.69309 + 5.90952I
b = −0.628211 − 0.726558I
−7.82699 − 2.81005I −2.05004 + 4.17671I
u = −0.258040
a = 2.29127
b = −0.205583
0.939166 10.9090
u = −1.58678 + 0.71978I
a = −0.392451 + 0.701425I
b = 0.923596 − 0.304910I
−14.0263 − 6.1147I 0
u = −1.58678 − 0.71978I
a = −0.392451 − 0.701425I
b = 0.923596 + 0.304910I
−14.0263 + 6.1147I 0
u = 0.27931 + 1.74156I
a = −0.735916 − 0.115230I
b = 0.684886 + 0.124948I
−2.56542 − 2.25526I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.27931 − 1.74156I
a = −0.735916 + 0.115230I
b = 0.684886 − 0.124948I
−2.56542 + 2.25526I 0
u = 0.016687 + 0.213216I
a = 6.58988 + 2.24408I
b = −0.928066 + 0.565692I
−4.54266 − 3.40660I 1.33724 + 1.39588I
u = 0.016687 − 0.213216I
a = 6.58988 − 2.24408I
b = −0.928066 − 0.565692I
−4.54266 + 3.40660I 1.33724 − 1.39588I
u = −0.198845 + 0.036946I
a = −0.75339 − 6.98230I
b = −1.064120 − 0.749102I
−9.27449 + 8.53790I −1.32710 − 3.00621I
u = −0.198845 − 0.036946I
a = −0.75339 + 6.98230I
b = −1.064120 + 0.749102I
−9.27449 − 8.53790I −1.32710 + 3.00621I
u = 0.088086 + 0.179431I
a = −5.61211 − 2.93635I
b = 1.295130 + 0.435626I
−7.94738 − 1.93505I −10.00846 + 2.42087I
u = 0.088086 − 0.179431I
a = −5.61211 + 2.93635I
b = 1.295130 − 0.435626I
−7.94738 + 1.93505I −10.00846 − 2.42087I
20
II.
I
u
2
= h1.93×10
42
u
46
−3.43×10
42
u
45
+· · ·+7.76×10
42
b+1.10×10
43
, −2.95×
10
43
u
46
+3.11×10
43
u
45
+· · ·+5.43×10
43
a−9.32×10
43
, u
47
−u
46
+· · ·+8u+7i
(i) Arc colorings
a
9
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
0.543683u
46
− 0.572974u
45
+ ··· − 2.43609u + 1.71659
−0.248321u
46
+ 0.442799u
45
+ ··· + 1.27515u − 1.42251
a
10
=
−u
−u
3
+ u
a
4
=
0.295362u
46
− 0.130175u
45
+ ··· − 1.16093u + 0.294072
−0.248321u
46
+ 0.442799u
45
+ ··· + 1.27515u − 1.42251
a
2
=
−0.292411u
46
− 0.510115u
45
+ ··· + 6.01704u + 4.46331
0.331691u
46
− 0.211820u
45
+ ··· − 1.96356u − 1.49233
a
3
=
0.875374u
46
− 0.784794u
45
+ ··· − 4.39965u + 1.22426
−0.0901609u
46
+ 0.188574u
45
+ ··· + 1.05065u − 1.83045
a
8
=
−0.547979u
46
− 0.0701769u
45
+ ··· + 5.17330u + 2.61174
0.00196930u
46
+ 0.344626u
45
+ ··· − 2.95390u − 2.46779
a
6
=
0.164627u
46
− 0.114388u
45
+ ··· − 2.05774u + 0.501399
−0.663566u
46
+ 0.264039u
45
+ ··· + 8.11121u + 2.42920
a
7
=
−0.629225u
46
+ 0.257355u
45
+ ··· + 4.85889u + 1.81505
−0.166344u
46
+ 0.351082u
45
+ ··· − 2.11960u − 2.09841
a
11
=
0.290805u
46
− 0.869049u
45
+ ··· + 3.34391u + 3.38171
0.170839u
46
− 0.468642u
45
+ ··· − 1.00393u + 0.985910
(ii) Obstruction class = 1
(iii) Cusp Shapes = −0.402555u
46
+ 2.01455u
45
+ ··· − 3.11324u − 12.4094
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
47
− 18u
46
+ ··· − 19u + 1
c
2
u
47
− 4u
46
+ ··· + 5u + 1
c
3
u
47
+ 17u
45
+ ··· + 201u + 53
c
4
u
47
− 3u
46
+ ··· + 118u + 23
c
5
u
47
+ u
46
+ ··· + 97u + 7
c
6
u
47
− 2u
46
+ ··· + 4u + 1
c
7
u
47
+ u
46
+ ··· − 8u − 7
c
8
u
47
− u
46
+ ··· + 97u − 7
c
9
u
47
+ u
46
+ ··· + 8u − 7
c
10
u
47
+ 2u
46
+ ··· + 4u − 1
c
11
u
47
+ 3u
46
+ ··· + 105u − 25
c
12
u
47
− u
46
+ ··· + 8u + 7
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
47
− 6y
46
+ ··· + 33y −1
c
2
y
47
+ 10y
46
+ ··· − 21y −1
c
3
y
47
+ 34y
46
+ ··· − 80121y −2809
c
4
y
47
− 19y
46
+ ··· + 10152y −529
c
5
, c
8
y
47
+ 49y
46
+ ··· − 293y −49
c
6
, c
10
y
47
+ 30y
46
+ ··· + 44y −1
c
7
y
47
+ 23y
46
+ ··· − 846y −49
c
9
, c
12
y
47
− 31y
46
+ ··· + 302y −49
c
11
y
47
+ 15y
46
+ ··· + 3325y −625
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.933622 + 0.337236I
a = −0.050656 − 1.328560I
b = 1.41071 − 0.63361I
−10.06350 − 9.54931I −5.51983 + 7.95922I
u = 0.933622 − 0.337236I
a = −0.050656 + 1.328560I
b = 1.41071 + 0.63361I
−10.06350 + 9.54931I −5.51983 − 7.95922I
u = 1.008200 + 0.252570I
a = 0.67104 − 1.39141I
b = 0.621135 − 0.248959I
−8.98504 + 2.08439I −7.60861 − 1.95572I
u = 1.008200 − 0.252570I
a = 0.67104 + 1.39141I
b = 0.621135 + 0.248959I
−8.98504 − 2.08439I −7.60861 + 1.95572I
u = −1.05346
a = 1.04313
b = 0.700240
−0.127925 −5.82880
u = −1.005540 + 0.368577I
a = −0.173962 + 1.391310I
b = 1.306870 − 0.349530I
−5.70952 + 4.46475I −0.47206 − 4.72792I
u = −1.005540 − 0.368577I
a = −0.173962 − 1.391310I
b = 1.306870 + 0.349530I
−5.70952 − 4.46475I −0.47206 + 4.72792I
u = 0.022821 + 0.913508I
a = −1.315960 − 0.117369I
b = 1.143450 + 0.411747I
−6.47567 − 2.39339I −2.31990 + 2.71323I
u = 0.022821 − 0.913508I
a = −1.315960 + 0.117369I
b = 1.143450 − 0.411747I
−6.47567 + 2.39339I −2.31990 − 2.71323I
u = 1.141180 + 0.133775I
a = 0.83832 + 1.52239I
b = −0.105971 − 0.740119I
−9.74964 − 3.79239I −5.55418 + 5.58656I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.141180 − 0.133775I
a = 0.83832 − 1.52239I
b = −0.105971 + 0.740119I
−9.74964 + 3.79239I −5.55418 − 5.58656I
u = −1.074650 + 0.423405I
a = −0.250222 + 1.272630I
b = 1.173140 − 0.631329I
−5.70157 + 4.44835I 1.88120 − 5.04597I
u = −1.074650 − 0.423405I
a = −0.250222 − 1.272630I
b = 1.173140 + 0.631329I
−5.70157 − 4.44835I 1.88120 + 5.04597I
u = −0.042101 + 0.751382I
a = −0.369420 + 0.959858I
b = 0.566309 − 0.658726I
0.81552 + 2.11176I 5.50874 − 3.67506I
u = −0.042101 − 0.751382I
a = −0.369420 − 0.959858I
b = 0.566309 + 0.658726I
0.81552 − 2.11176I 5.50874 + 3.67506I
u = −1.260200 + 0.084193I
a = 0.162424 − 1.114470I
b = −0.84981 + 1.50917I
−7.37061 − 2.20658I 0
u = −1.260200 − 0.084193I
a = 0.162424 + 1.114470I
b = −0.84981 − 1.50917I
−7.37061 + 2.20658I 0
u = −1.269010 + 0.071735I
a = −0.797206 + 0.990637I
b = −0.878175 − 0.119043I
−9.65128 + 2.69268I −7.30948 + 0.I
u = −1.269010 − 0.071735I
a = −0.797206 − 0.990637I
b = −0.878175 + 0.119043I
−9.65128 − 2.69268I −7.30948 + 0.I
u = −0.067844 + 0.719430I
a = −1.83153 + 0.15928I
b = 1.017990 − 0.624288I
−5.14572 + 3.40894I −0.12989 − 3.11179I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.067844 − 0.719430I
a = −1.83153 − 0.15928I
b = 1.017990 + 0.624288I
−5.14572 − 3.40894I −0.12989 + 3.11179I
u = −0.330241 + 1.235790I
a = −0.254694 + 0.205137I
b = 0.304410 − 0.214145I
0.93681 + 2.50324I 0. − 27.8967I
u = −0.330241 − 1.235790I
a = −0.254694 − 0.205137I
b = 0.304410 + 0.214145I
0.93681 − 2.50324I 0. + 27.8967I
u = 1.257460 + 0.377075I
a = −0.664726 + 0.930750I
b = −1.001610 − 0.745094I
−3.07306 − 6.29403I 0
u = 1.257460 − 0.377075I
a = −0.664726 − 0.930750I
b = −1.001610 + 0.745094I
−3.07306 + 6.29403I 0
u = −1.290450 + 0.262700I
a = 0.064159 − 0.398065I
b = −1.47985 + 0.22573I
−3.60150 + 2.21616I 0
u = −1.290450 − 0.262700I
a = 0.064159 + 0.398065I
b = −1.47985 − 0.22573I
−3.60150 − 2.21616I 0
u = 1.312730 + 0.309942I
a = −0.204318 + 0.004507I
b = −1.037160 − 0.227661I
−5.45845 − 6.46998I 0
u = 1.312730 − 0.309942I
a = −0.204318 − 0.004507I
b = −1.037160 + 0.227661I
−5.45845 + 6.46998I 0
u = −0.444896 + 0.447221I
a = 1.54074 − 1.16271I
b = −0.381198 − 0.815706I
−2.79435 − 0.69475I 4.38573 − 2.14919I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.444896 − 0.447221I
a = 1.54074 + 1.16271I
b = −0.381198 + 0.815706I
−2.79435 + 0.69475I 4.38573 + 2.14919I
u = 1.368170 + 0.137705I
a = −0.065394 + 0.844721I
b = −1.46472 − 0.58181I
−11.51760 − 0.94978I 0
u = 1.368170 − 0.137705I
a = −0.065394 − 0.844721I
b = −1.46472 + 0.58181I
−11.51760 + 0.94978I 0
u = −0.603330 + 0.126435I
a = 0.478986 + 0.511798I
b = 0.376555 − 1.097320I
0.44602 + 1.44219I 6.32929 − 7.86238I
u = −0.603330 − 0.126435I
a = 0.478986 − 0.511798I
b = 0.376555 + 1.097320I
0.44602 − 1.44219I 6.32929 + 7.86238I
u = 1.383220 + 0.120127I
a = 0.239027 + 0.989389I
b = −0.173856 − 1.401380I
−12.02440 + 7.04653I 0
u = 1.383220 − 0.120127I
a = 0.239027 − 0.989389I
b = −0.173856 + 1.401380I
−12.02440 − 7.04653I 0
u = 0.441225 + 0.250818I
a = 0.728122 + 0.682784I
b = 0.632056 − 0.961669I
−1.83711 + 4.09290I −6.11412 − 7.37496I
u = 0.441225 − 0.250818I
a = 0.728122 − 0.682784I
b = 0.632056 + 0.961669I
−1.83711 − 4.09290I −6.11412 + 7.37496I
u = −0.046754 + 0.487928I
a = 1.84472 − 0.48404I
b = 0.477826 + 0.449721I
−5.13650 − 1.37698I −5.49470 + 4.51886I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.046754 − 0.487928I
a = 1.84472 + 0.48404I
b = 0.477826 − 0.449721I
−5.13650 + 1.37698I −5.49470 − 4.51886I
u = −1.48100 + 0.41714I
a = 0.044144 − 0.873550I
b = −1.50397 + 0.90421I
−11.65880 + 7.45553I 0
u = −1.48100 − 0.41714I
a = 0.044144 + 0.873550I
b = −1.50397 − 0.90421I
−11.65880 − 7.45553I 0
u = 1.48849 + 0.47761I
a = 0.158285 + 0.890316I
b = −1.47114 − 0.94830I
−10.35690 − 8.44766I 0
u = 1.48849 − 0.47761I
a = 0.158285 − 0.890316I
b = −1.47114 + 0.94830I
−10.35690 + 8.44766I 0
u = −0.41435 + 1.61050I
a = 0.757985 − 0.177953I
b = −0.533120 + 0.016083I
−2.35262 + 1.99862I 0
u = −0.41435 − 1.61050I
a = 0.757985 + 0.177953I
b = −0.533120 − 0.016083I
−2.35262 − 1.99862I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
− 18u
46
+ ··· − 19u + 1)
· (u
157
+ 5u
156
+ ··· + 11551514u − 666271)
c
2
(u
47
− 4u
46
+ ··· + 5u + 1)
· (u
157
− u
156
+ ··· − 1628098428u − 107670653)
c
3
(u
47
+ 17u
45
+ ··· + 201u + 53)
· (u
157
+ u
156
+ ··· − 6882417969378u − 579271043533)
c
4
(u
47
− 3u
46
+ ··· + 118u + 23)
· (u
157
− 37u
155
+ ··· + 445344963u − 17796191)
c
5
(u
47
+ u
46
+ ··· + 97u + 7)(u
157
+ 10u
156
+ ··· − 968u − 181)
c
6
(u
47
− 2u
46
+ ··· + 4u + 1)(u
157
− 3u
156
+ ··· + 7u − 1)
c
7
(u
47
+ u
46
+ ··· − 8u − 7)
· (u
157
+ 38u
155
+ ··· + 132651545u − 435199883)
c
8
(u
47
− u
46
+ ··· + 97u − 7)(u
157
+ 10u
156
+ ··· − 968u − 181)
c
9
(u
47
+ u
46
+ ··· + 8u − 7)(u
157
+ 2u
156
+ ··· − 1089u − 181)
c
10
(u
47
+ 2u
46
+ ··· + 4u − 1)(u
157
− 3u
156
+ ··· + 7u − 1)
c
11
(u
47
+ 3u
46
+ ··· + 105u − 25)
· (u
157
+ 12u
156
+ ··· + 844976503738u + 47066586319)
c
12
(u
47
− u
46
+ ··· + 8u + 7)(u
157
+ 2u
156
+ ··· − 1089u − 181)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
47
− 6y
46
+ ··· + 33y −1)
· (y
157
− 49y
156
+ ··· + 104808094653642y −443917045441)
c
2
(y
47
+ 10y
46
+ ··· − 21y −1)
· (y
157
+ 59y
156
+ ··· − 404534046342627964y −11592969517446409)
c
3
(y
47
+ 34y
46
+ ··· − 80121y −2809)
· (y
157
+ 111y
156
+ ··· − 4.36 × 10
24
y −3.36 × 10
23
)
c
4
(y
47
− 19y
46
+ ··· + 10152y −529)
· (y
157
− 74y
156
+ ··· + 112157843337933533y −316704414108481)
c
5
, c
8
(y
47
+ 49y
46
+ ··· − 293y −49)
· (y
157
+ 150y
156
+ ··· + 9673532y −32761)
c
6
, c
10
(y
47
+ 30y
46
+ ··· + 44y −1)(y
157
+ 111y
156
+ ··· + 165y −1)
c
7
(y
47
+ 23y
46
+ ··· − 846y −49)
· (y
157
+ 76y
156
+ ··· − 801491013938418801y −189398938163213689)
c
9
, c
12
(y
47
− 31y
46
+ ··· + 302y −49)
· (y
157
− 118y
156
+ ··· + 1444751y −32761)
c
11
(y
47
+ 15y
46
+ ··· + 3325y −625)
· (y
157
+ 84y
156
+ ··· + 1.62 × 10
22
y −2.22 × 10
21
)
32
