12n
0859
(K12n
0859
)
A knot diagram
1
Linearized knot diagam
4 6 9 1 11 2 12 5 2 8 6 10
Solving Sequence
2,4
1
5,10
9 3 8 11 12 7 6
c
1
c
4
c
9
c
3
c
8
c
10
c
12
c
7
c
6
c
2
, c
5
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.50974 × 10
289
u
110
+ 9.45965 × 10
289
u
109
+ ··· + 4.90170 × 10
288
b + 2.02264 × 10
290
,
6.11196 × 10
290
u
110
+ 2.58646 × 10
291
u
109
+ ··· + 9.31323 × 10
289
a + 9.60207 × 10
291
,
u
111
+ 4u
110
+ ··· + 75u + 19i
I
u
2
= h−6.13493 × 10
24
u
36
+ 8.28914 × 10
25
u
35
+ ··· + 1.90673 × 10
25
b + 8.11899 × 10
26
,
8.06792 × 10
26
u
36
− 5.25168 × 10
27
u
35
+ ··· + 2.09740 × 10
26
a + 5.96222 × 10
27
, u
37
− 7u
36
+ ··· − 14u + 11i
* 2 irreducible components of dim
C
= 0, with total 148 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
= h2.51 × 10
289
u
110
+ 9.46 × 10
289
u
109
+ · · · + 4.90 × 10
288
b + 2.02 ×
10
290
, 6.11 × 10
290
u
110
+ 2.59 × 10
291
u
109
+ · · · + 9.31 × 10
289
a + 9.60 ×
10
291
, u
111
+ 4u
110
+ · · · + 75u + 19i
(i) Arc colorings
a
2
=
1
0
a
4
=
0
u
a
1
=
1
−u
2
a
5
=
−u
u
3
+ u
a
10
=
−6.56266u
110
− 27.7719u
109
+ ··· − 589.375u − 103.101
−5.12015u
110
− 19.2987u
109
+ ··· − 268.585u − 41.2640
a
9
=
−1.44251u
110
− 8.47322u
109
+ ··· − 320.791u − 61.8374
−5.12015u
110
− 19.2987u
109
+ ··· − 268.585u − 41.2640
a
3
=
5.94521u
110
+ 22.0082u
109
+ ··· + 71.6801u + 1.91739
−1.75109u
110
− 11.0597u
109
+ ··· − 474.099u − 132.585
a
8
=
−4.10108u
110
− 17.5341u
109
+ ··· − 396.139u − 56.7976
−3.25646u
110
− 11.7527u
109
+ ··· − 125.743u − 16.4090
a
11
=
−0.518015u
110
− 2.04419u
109
+ ··· + 20.7543u − 8.72507
3.27484u
110
+ 11.2402u
109
+ ··· + 20.8357u − 12.9523
a
12
=
−2.73350u
110
− 7.81439u
109
+ ··· + 76.4382u + 41.4901
−1.58334u
110
− 5.76715u
109
+ ··· − 15.7115u + 9.06478
a
7
=
−2.54528u
110
− 9.91938u
109
+ ··· + 58.1041u + 31.4535
−3.15653u
110
− 11.4493u
109
+ ··· − 117.635u − 7.74256
a
6
=
0.611245u
110
+ 1.52992u
109
+ ··· + 175.739u + 39.1960
−3.15653u
110
− 11.4493u
109
+ ··· − 117.635u − 7.74256
(ii) Obstruction class = −1
(iii) Cusp Shapes = 37.2379u
110
+ 165.877u
109
+ ··· + 3613.83u + 800.617
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
111
− 4u
110
+ ··· + 75u − 19
c
2
, c
6
u
111
− 3u
110
+ ··· + 11u + 1
c
3
u
111
+ u
110
+ ··· − 11375608u + 498668
c
5
, c
11
u
111
− u
110
+ ··· + 25708u + 2404
c
7
u
111
+ 8u
110
+ ··· − 3750361u + 280259
c
8
u
111
− 5u
110
+ ··· + 1057226u + 206759
c
9
u
111
− 2u
110
+ ··· − 11878814u − 708719
c
10
u
111
+ 11u
110
+ ··· − 13685u − 1355
c
12
u
111
+ 8u
110
+ ··· − 59598u − 25569
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
111
+ 68y
110
+ ··· − 21507y −361
c
2
, c
6
y
111
− 75y
110
+ ··· − 235y −1
c
3
y
111
− 15y
110
+ ··· + 14994491642816y −248669774224
c
5
, c
11
y
111
− 61y
110
+ ··· + 397749808y −5779216
c
7
y
111
+ 10y
110
+ ··· − 12572239397577y −78545107081
c
8
y
111
− 3y
110
+ ··· − 601815422274y −42749284081
c
9
y
111
− 24y
110
+ ··· + 75899128605414y −502282620961
c
10
y
111
− 41y
110
+ ··· + 78323675y −1836025
c
12
y
111
− 32y
110
+ ··· + 18684218322y −653773761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.275201 + 0.940263I
a = −1.66878 − 0.15190I
b = −0.719972 + 0.496650I
−4.99690 + 6.02322I 0
u = −0.275201 − 0.940263I
a = −1.66878 + 0.15190I
b = −0.719972 − 0.496650I
−4.99690 − 6.02322I 0
u = 0.008257 + 0.975670I
a = −1.081250 + 0.727074I
b = −1.054850 − 0.926807I
4.64603 + 2.87969I 0
u = 0.008257 − 0.975670I
a = −1.081250 − 0.727074I
b = −1.054850 + 0.926807I
4.64603 − 2.87969I 0
u = 0.269038 + 0.990512I
a = 0.06286 − 2.13543I
b = −0.67117 − 2.58748I
1.29416 − 7.64485I 0
u = 0.269038 − 0.990512I
a = 0.06286 + 2.13543I
b = −0.67117 + 2.58748I
1.29416 + 7.64485I 0
u = 1.015590 + 0.261238I
a = −0.085276 + 0.232873I
b = 1.042080 + 0.399877I
−3.14755 + 4.80636I 0
u = 1.015590 − 0.261238I
a = −0.085276 − 0.232873I
b = 1.042080 − 0.399877I
−3.14755 − 4.80636I 0
u = 0.067968 + 1.053820I
a = 2.10702 − 1.28713I
b = 1.159640 − 0.307667I
5.06493 − 3.05615I 0
u = 0.067968 − 1.053820I
a = 2.10702 + 1.28713I
b = 1.159640 + 0.307667I
5.06493 + 3.05615I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.056890 + 0.141190I
a = −0.169855 + 0.212580I
b = −1.207740 + 0.615633I
3.86792 − 5.81284I 0
u = −1.056890 − 0.141190I
a = −0.169855 − 0.212580I
b = −1.207740 − 0.615633I
3.86792 + 5.81284I 0
u = −0.203436 + 0.909772I
a = 1.307750 − 0.110479I
b = 0.638602 − 0.771746I
0.60675 + 2.77436I 0
u = −0.203436 − 0.909772I
a = 1.307750 + 0.110479I
b = 0.638602 + 0.771746I
0.60675 − 2.77436I 0
u = 0.273074 + 0.880594I
a = −1.15007 + 1.36087I
b = −0.49476 + 2.05464I
2.04876 − 2.43910I 0
u = 0.273074 − 0.880594I
a = −1.15007 − 1.36087I
b = −0.49476 − 2.05464I
2.04876 + 2.43910I 0
u = 0.944619 + 0.528913I
a = −0.242883 − 0.203509I
b = −0.722055 + 0.054677I
−0.771420 − 0.536538I 0
u = 0.944619 − 0.528913I
a = −0.242883 + 0.203509I
b = −0.722055 − 0.054677I
−0.771420 + 0.536538I 0
u = −1.078500 + 0.127411I
a = −0.0065061 − 0.1213240I
b = 1.16595 − 0.88431I
0.42740 − 12.79140I 0
u = −1.078500 − 0.127411I
a = −0.0065061 + 0.1213240I
b = 1.16595 + 0.88431I
0.42740 + 12.79140I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.236625 + 0.869701I
a = −3.32187 − 0.04411I
b = −0.121924 + 0.748351I
0.42650 − 6.83508I 0
u = 0.236625 − 0.869701I
a = −3.32187 + 0.04411I
b = −0.121924 − 0.748351I
0.42650 + 6.83508I 0
u = −0.461544 + 0.772795I
a = −1.49141 + 1.22164I
b = −1.53587 + 0.71027I
0.82911 − 1.58249I 0
u = −0.461544 − 0.772795I
a = −1.49141 − 1.22164I
b = −1.53587 − 0.71027I
0.82911 + 1.58249I 0
u = 0.713611 + 0.529292I
a = 0.585808 + 0.306800I
b = 0.259462 − 0.808596I
−5.15394 − 2.61216I 0
u = 0.713611 − 0.529292I
a = 0.585808 − 0.306800I
b = 0.259462 + 0.808596I
−5.15394 + 2.61216I 0
u = 1.110890 + 0.069837I
a = 0.0652080 + 0.0323979I
b = 0.107631 + 1.122940I
−5.70817 − 1.45948I 0
u = 1.110890 − 0.069837I
a = 0.0652080 − 0.0323979I
b = 0.107631 − 1.122940I
−5.70817 + 1.45948I 0
u = −0.237461 + 0.845090I
a = 2.16570 + 1.55417I
b = 0.64302 + 2.18678I
−5.57793 + 1.17653I 0
u = −0.237461 − 0.845090I
a = 2.16570 − 1.55417I
b = 0.64302 − 2.18678I
−5.57793 − 1.17653I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.338976 + 0.788941I
a = −1.97899 − 0.01191I
b = −0.135954 − 1.404000I
−6.29732 + 1.56335I 0
u = −0.338976 − 0.788941I
a = −1.97899 + 0.01191I
b = −0.135954 + 1.404000I
−6.29732 − 1.56335I 0
u = −0.671253 + 0.522611I
a = −0.898132 − 0.522684I
b = 0.750246 + 0.666293I
1.17995 + 3.44561I 0
u = −0.671253 − 0.522611I
a = −0.898132 + 0.522684I
b = 0.750246 − 0.666293I
1.17995 − 3.44561I 0
u = −0.839318 + 0.060783I
a = 0.493485 + 0.050564I
b = 0.607833 − 0.088103I
−3.61948 + 0.00513I 0
u = −0.839318 − 0.060783I
a = 0.493485 − 0.050564I
b = 0.607833 + 0.088103I
−3.61948 − 0.00513I 0
u = 0.262200 + 1.137650I
a = 1.99952 − 0.20662I
b = 0.880763 − 0.924406I
4.21579 − 3.30687I 0
u = 0.262200 − 1.137650I
a = 1.99952 + 0.20662I
b = 0.880763 + 0.924406I
4.21579 + 3.30687I 0
u = −0.831831 + 0.026807I
a = −0.446008 − 0.058527I
b = 1.155800 + 0.449895I
4.08247 + 1.05839I 0
u = −0.831831 − 0.026807I
a = −0.446008 + 0.058527I
b = 1.155800 − 0.449895I
4.08247 − 1.05839I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.447141 + 1.081630I
a = 0.61140 − 1.30410I
b = 1.151160 − 0.361627I
5.88221 − 1.78475I 0
u = −0.447141 − 1.081630I
a = 0.61140 + 1.30410I
b = 1.151160 + 0.361627I
5.88221 + 1.78475I 0
u = −0.444421 + 0.660349I
a = 1.349300 + 0.372347I
b = −0.593114 − 0.380848I
1.50618 + 1.02895I 0
u = −0.444421 − 0.660349I
a = 1.349300 − 0.372347I
b = −0.593114 + 0.380848I
1.50618 − 1.02895I 0
u = 0.314688 + 0.716816I
a = −1.07783 − 1.35538I
b = 0.211726 + 1.211480I
0.13373 + 4.14099I 0
u = 0.314688 − 0.716816I
a = −1.07783 + 1.35538I
b = 0.211726 − 1.211480I
0.13373 − 4.14099I 0
u = 0.551417 + 1.086260I
a = 0.368193 − 0.274729I
b = −0.037286 + 0.326195I
−1.74777 − 5.52938I 0
u = 0.551417 − 1.086260I
a = 0.368193 + 0.274729I
b = −0.037286 − 0.326195I
−1.74777 + 5.52938I 0
u = −0.259852 + 1.193850I
a = −1.37826 + 1.79128I
b = −0.760498 − 0.282882I
3.97987 + 7.49973I 0
u = −0.259852 − 1.193850I
a = −1.37826 − 1.79128I
b = −0.760498 + 0.282882I
3.97987 − 7.49973I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.445330 + 1.139830I
a = −1.045090 − 0.267342I
b = −1.102600 − 0.164427I
−1.16332 − 3.35103I 0
u = 0.445330 − 1.139830I
a = −1.045090 + 0.267342I
b = −1.102600 + 0.164427I
−1.16332 + 3.35103I 0
u = −0.100145 + 0.768474I
a = −1.46998 − 0.05204I
b = −0.736228 + 0.492817I
0.045168 − 0.756689I 0
u = −0.100145 − 0.768474I
a = −1.46998 + 0.05204I
b = −0.736228 − 0.492817I
0.045168 + 0.756689I 0
u = 0.293488 + 1.192270I
a = 1.69050 + 0.02346I
b = 0.972454 − 0.865758I
4.19599 − 3.22298I 0
u = 0.293488 − 1.192270I
a = 1.69050 − 0.02346I
b = 0.972454 + 0.865758I
4.19599 + 3.22298I 0
u = −0.280377 + 1.214070I
a = 2.09638 + 0.11720I
b = 2.00898 + 0.67625I
5.90966 + 3.14124I 0
u = −0.280377 − 1.214070I
a = 2.09638 − 0.11720I
b = 2.00898 − 0.67625I
5.90966 − 3.14124I 0
u = −0.737383 + 0.092217I
a = 0.259636 − 0.112181I
b = −1.080860 + 0.872100I
2.57136 − 5.52359I 0
u = −0.737383 − 0.092217I
a = 0.259636 + 0.112181I
b = −1.080860 − 0.872100I
2.57136 + 5.52359I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738210 + 0.077832I
a = −0.410329 − 0.870145I
b = 0.416517 − 0.282826I
−4.53991 + 0.81092I 0
u = 0.738210 − 0.077832I
a = −0.410329 + 0.870145I
b = 0.416517 + 0.282826I
−4.53991 − 0.81092I 0
u = −0.459139 + 1.195040I
a = 2.01127 − 0.25782I
b = 1.43948 + 1.12235I
5.82742 + 9.96822I 0
u = −0.459139 − 1.195040I
a = 2.01127 + 0.25782I
b = 1.43948 − 1.12235I
5.82742 − 9.96822I 0
u = −1.29696
a = 0.254156
b = −0.605822
−2.36547 0
u = 0.408571 + 0.565367I
a = −1.92263 + 0.91363I
b = −0.50537 + 1.33287I
1.35718 − 0.65015I 0
u = 0.408571 − 0.565367I
a = −1.92263 − 0.91363I
b = −0.50537 − 1.33287I
1.35718 + 0.65015I 0
u = 0.275750 + 1.281120I
a = −1.267620 − 0.360467I
b = −1.164700 + 0.486012I
2.25301 + 0.74215I 0
u = 0.275750 − 1.281120I
a = −1.267620 + 0.360467I
b = −1.164700 − 0.486012I
2.25301 − 0.74215I 0
u = −0.509886 + 1.209580I
a = −0.968689 + 0.852632I
b = −1.40376 − 0.22411I
7.48694 + 3.68062I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.509886 − 1.209580I
a = −0.968689 − 0.852632I
b = −1.40376 + 0.22411I
7.48694 − 3.68062I 0
u = −0.280540 + 0.626809I
a = 1.72125 + 0.36677I
b = 0.604732 − 0.417904I
−5.87578 − 3.33399I 0
u = −0.280540 − 0.626809I
a = 1.72125 − 0.36677I
b = 0.604732 + 0.417904I
−5.87578 + 3.33399I 0
u = 0.332184 + 1.282280I
a = −1.144800 + 0.071823I
b = −0.591057 + 0.882017I
0.02593 − 6.00299I 0
u = 0.332184 − 1.282280I
a = −1.144800 − 0.071823I
b = −0.591057 − 0.882017I
0.02593 + 6.00299I 0
u = −0.448427 + 1.254430I
a = −1.72331 + 0.34160I
b = −1.64583 − 0.95608I
7.92858 + 5.65757I 0
u = −0.448427 − 1.254430I
a = −1.72331 − 0.34160I
b = −1.64583 + 0.95608I
7.92858 − 5.65757I 0
u = 0.649724 + 1.209040I
a = 0.934100 + 0.639804I
b = 1.109860 − 0.186332I
1.52430 − 5.45836I 0
u = 0.649724 − 1.209040I
a = 0.934100 − 0.639804I
b = 1.109860 + 0.186332I
1.52430 + 5.45836I 0
u = −0.319391 + 1.343010I
a = −1.62626 − 0.38363I
b = −1.73839 − 1.28747I
6.78734 + 6.74957I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.319391 − 1.343010I
a = −1.62626 + 0.38363I
b = −1.73839 + 1.28747I
6.78734 − 6.74957I 0
u = 0.595501 + 1.255810I
a = −1.43242 − 0.50104I
b = −1.46776 + 0.72438I
−0.01416 − 10.61690I 0
u = 0.595501 − 1.255810I
a = −1.43242 + 0.50104I
b = −1.46776 − 0.72438I
−0.01416 + 10.61690I 0
u = −0.519632 + 1.303580I
a = −1.51849 + 0.52896I
b = −1.172690 − 0.361484I
0.19967 + 5.22519I 0
u = −0.519632 − 1.303580I
a = −1.51849 − 0.52896I
b = −1.172690 + 0.361484I
0.19967 − 5.22519I 0
u = −0.57152 + 1.29938I
a = 1.76760 − 0.41531I
b = 1.57268 + 0.78579I
7.48757 + 11.61040I 0
u = −0.57152 − 1.29938I
a = 1.76760 + 0.41531I
b = 1.57268 − 0.78579I
7.48757 − 11.61040I 0
u = 0.57393 + 1.30349I
a = −1.258510 + 0.260259I
b = −0.642563 + 1.019860I
−1.91021 − 4.45206I 0
u = 0.57393 − 1.30349I
a = −1.258510 − 0.260259I
b = −0.642563 − 1.019860I
−1.91021 + 4.45206I 0
u = −0.57654 + 1.30702I
a = −1.79727 + 0.24737I
b = −1.51657 − 1.11069I
4.1086 + 18.6576I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.57654 − 1.30702I
a = −1.79727 − 0.24737I
b = −1.51657 + 1.11069I
4.1086 − 18.6576I 0
u = −0.36392 + 1.39393I
a = 1.080680 − 0.889817I
b = 1.094080 − 0.092347I
8.99561 − 0.74820I 0
u = −0.36392 − 1.39393I
a = 1.080680 + 0.889817I
b = 1.094080 + 0.092347I
8.99561 + 0.74820I 0
u = 0.094811 + 0.549038I
a = 3.77075 − 1.38548I
b = 1.52223 − 1.11379I
−0.07750 + 5.29942I −5.40871 − 2.98457I
u = 0.094811 − 0.549038I
a = 3.77075 + 1.38548I
b = 1.52223 + 1.11379I
−0.07750 − 5.29942I −5.40871 + 2.98457I
u = −0.03969 + 1.44624I
a = 1.81423 − 0.86290I
b = 0.810507 − 0.314287I
7.88736 − 1.01294I 0
u = −0.03969 − 1.44624I
a = 1.81423 + 0.86290I
b = 0.810507 + 0.314287I
7.88736 + 1.01294I 0
u = −0.346914 + 0.399228I
a = 2.09323 − 2.49228I
b = 1.47129 − 0.39004I
0.02497 + 5.27393I −3.58834 − 5.27961I
u = −0.346914 − 0.399228I
a = 2.09323 + 2.49228I
b = 1.47129 + 0.39004I
0.02497 − 5.27393I −3.58834 + 5.27961I
u = −0.37718 + 1.44983I
a = −0.716966 + 0.800137I
b = −1.076310 + 0.259767I
5.63085 − 7.45344I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.37718 − 1.44983I
a = −0.716966 − 0.800137I
b = −1.076310 − 0.259767I
5.63085 + 7.45344I 0
u = 0.57631 + 1.39320I
a = 0.935947 − 0.425096I
b = 0.472657 − 1.103060I
−1.17664 − 7.45881I 0
u = 0.57631 − 1.39320I
a = 0.935947 + 0.425096I
b = 0.472657 + 1.103060I
−1.17664 + 7.45881I 0
u = −0.63748 + 1.37589I
a = 0.701318 − 0.217635I
b = 0.925253 + 0.716207I
1.91629 + 6.72215I 0
u = −0.63748 − 1.37589I
a = 0.701318 + 0.217635I
b = 0.925253 − 0.716207I
1.91629 − 6.72215I 0
u = 0.186229 + 0.352117I
a = −0.996682 − 0.693951I
b = −0.390010 + 0.415908I
0.019457 − 0.961906I 0.49448 + 6.92525I
u = 0.186229 − 0.352117I
a = −0.996682 + 0.693951I
b = −0.390010 − 0.415908I
0.019457 + 0.961906I 0.49448 − 6.92525I
u = 0.089771 + 0.296787I
a = 2.36115 + 1.57012I
b = −0.699669 − 0.920603I
1.75575 + 1.12430I −5.03943 − 0.11930I
u = 0.089771 − 0.296787I
a = 2.36115 − 1.57012I
b = −0.699669 + 0.920603I
1.75575 − 1.12430I −5.03943 + 0.11930I
u = 1.33469 + 1.10518I
a = −0.0009648 − 0.1055420I
b = 0.0978189 + 0.0356464I
−7.01760 − 4.66538I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.33469 − 1.10518I
a = −0.0009648 + 0.1055420I
b = 0.0978189 − 0.0356464I
−7.01760 + 4.66538I 0
16
II. I
u
2
= h−6.13 × 10
24
u
36
+ 8.29 × 10
25
u
35
+ · · · + 1.91 × 10
25
b + 8.12 ×
10
26
, 8.07 × 10
26
u
36
− 5.25 × 10
27
u
35
+ · · · + 2.10 × 10
26
a + 5.96 ×
10
27
, u
37
− 7u
36
+ · · · − 14u + 11i
(i) Arc colorings
a
2
=
1
0
a
4
=
0
u
a
1
=
1
−u
2
a
5
=
−u
u
3
+ u
a
10
=
−3.84663u
36
+ 25.0390u
35
+ ··· − 39.9693u − 28.4268
0.321752u
36
− 4.34731u
35
+ ··· + 53.9505u − 42.5808
a
9
=
−4.16839u
36
+ 29.3863u
35
+ ··· − 93.9198u + 14.1540
0.321752u
36
− 4.34731u
35
+ ··· + 53.9505u − 42.5808
a
3
=
−0.339839u
36
+ 0.869980u
35
+ ··· + 42.9331u − 22.3971
0.600351u
36
− 7.51986u
35
+ ··· + 49.0392u − 46.3271
a
8
=
−5.29976u
36
+ 35.5979u
35
+ ··· − 85.9054u − 9.44007
1.17279u
36
− 9.54332u
35
+ ··· + 57.4031u − 37.7748
a
11
=
4.73273u
36
− 26.1686u
35
+ ··· − 7.63740u + 66.7415
−3.62282u
36
+ 25.2825u
35
+ ··· − 56.0322u + 1.93405
a
12
=
2.13430u
36
− 15.1155u
35
+ ··· + 30.7567u + 5.97723
1.51955u
36
− 10.4450u
35
+ ··· + 31.3426u − 8.81096
a
7
=
−6.65000u
36
+ 47.8144u
35
+ ··· − 167.906u + 59.6352
−3.72603u
36
+ 25.2468u
35
+ ··· − 58.4254u − 7.56368
a
6
=
−2.92397u
36
+ 22.5675u
35
+ ··· − 109.480u + 67.1988
−3.72603u
36
+ 25.2468u
35
+ ··· − 58.4254u − 7.56368
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
139210795476638531957285209
19067262024332578041833461
u
36
+
930709703186662620890627300
19067262024332578041833461
u
35
+
··· +
132556897395705238071347560
19067262024332578041833461
u +
792567797325096258571993787
19067262024332578041833461
17
(iv) u-Polynomials at the component
18
Crossings u-Polynomials at each crossing
c
1
u
37
− 7u
36
+ ··· − 14u + 11
c
2
u
37
− 2u
36
+ ··· + 2u − 1
c
3
u
37
+ 10u
35
+ ··· + 24u − 4
c
4
u
37
+ 7u
36
+ ··· − 14u − 11
c
5
u
37
− 13u
35
+ ··· + 12u + 4
c
6
u
37
+ 2u
36
+ ··· + 2u + 1
c
7
u
37
+ 7u
36
+ ··· + 54u + 53
c
8
u
37
− 2u
35
+ ··· + 95u + 25
c
9
u
37
− u
36
+ ··· − 3u − 1
c
10
u
37
+ 22u
36
+ ··· + 18u + 1
c
11
u
37
− 13u
35
+ ··· + 12u − 4
c
12
u
37
− 3u
36
+ ··· + 7u + 1
19
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
37
+ 23y
36
+ ··· − 970y −121
c
2
, c
6
y
37
− 12y
36
+ ··· − 18y −1
c
3
y
37
+ 20y
36
+ ··· + 2240y
2
− 16
c
5
, c
11
y
37
− 26y
36
+ ··· + 16y −16
c
7
y
37
− 23y
36
+ ··· − 197000y −2809
c
8
y
37
− 4y
36
+ ··· − 13625y −625
c
9
y
37
+ 15y
36
+ ··· − 13y −1
c
10
y
37
− 22y
36
+ ··· + 24y −1
c
12
y
37
− 13y
36
+ ··· + 27y −1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.330463 + 0.969719I
a = 1.46817 − 0.20828I
b = 0.627177 + 0.356013I
−5.05407 − 6.33702I −4.7870 + 17.1928I
u = 0.330463 − 0.969719I
a = 1.46817 + 0.20828I
b = 0.627177 − 0.356013I
−5.05407 + 6.33702I −4.7870 − 17.1928I
u = 0.790089 + 0.666394I
a = 0.705711 + 0.099805I
b = 0.412269 − 0.102346I
−1.45630 − 0.48597I −6.61644 − 0.55397I
u = 0.790089 − 0.666394I
a = 0.705711 − 0.099805I
b = 0.412269 + 0.102346I
−1.45630 + 0.48597I −6.61644 + 0.55397I
u = −0.232229 + 0.870877I
a = 2.16925 + 1.29713I
b = 0.52873 + 2.02225I
−5.36937 + 1.10038I 15.1897 + 4.2295I
u = −0.232229 − 0.870877I
a = 2.16925 − 1.29713I
b = 0.52873 − 2.02225I
−5.36937 − 1.10038I 15.1897 − 4.2295I
u = 0.211158 + 1.092760I
a = −2.26528 + 0.53961I
b = −1.18222 + 1.12432I
3.95808 − 2.37774I 2.35043 − 0.75443I
u = 0.211158 − 1.092760I
a = −2.26528 − 0.53961I
b = −1.18222 − 1.12432I
3.95808 + 2.37774I 2.35043 + 0.75443I
u = 0.489504 + 1.001060I
a = −0.545570 − 0.427066I
b = −0.507831 − 0.657356I
−0.18769 − 4.28641I −0.80386 + 6.56314I
u = 0.489504 − 1.001060I
a = −0.545570 + 0.427066I
b = −0.507831 + 0.657356I
−0.18769 + 4.28641I −0.80386 − 6.56314I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.437592 + 0.750199I
a = −1.48589 − 0.17041I
b = −0.126173 − 1.328120I
−6.94726 + 1.85249I −12.06148 − 5.73596I
u = −0.437592 − 0.750199I
a = −1.48589 + 0.17041I
b = −0.126173 + 1.328120I
−6.94726 − 1.85249I −12.06148 + 5.73596I
u = 1.156220 + 0.062059I
a = −0.1311650 − 0.0278334I
b = −0.022902 − 0.911903I
−6.34523 − 1.06200I −13.26883 − 0.73503I
u = 1.156220 − 0.062059I
a = −0.1311650 + 0.0278334I
b = −0.022902 + 0.911903I
−6.34523 + 1.06200I −13.26883 + 0.73503I
u = 0.155934 + 1.150980I
a = 1.069730 − 0.484926I
b = −0.029865 − 1.229920I
2.32861 − 6.31812I 2.89455 + 5.81344I
u = 0.155934 − 1.150980I
a = 1.069730 + 0.484926I
b = −0.029865 + 1.229920I
2.32861 + 6.31812I 2.89455 − 5.81344I
u = 0.020892 + 0.838018I
a = 2.99463 − 1.05963I
b = 0.78200 − 1.23327I
0.91561 + 5.64419I 2.81136 − 4.44440I
u = 0.020892 − 0.838018I
a = 2.99463 + 1.05963I
b = 0.78200 + 1.23327I
0.91561 − 5.64419I 2.81136 + 4.44440I
u = 0.095532 + 0.760637I
a = −0.885169 + 0.561579I
b = 0.464083 + 1.311950I
2.56785 + 0.92887I 4.86731 + 1.64841I
u = 0.095532 − 0.760637I
a = −0.885169 − 0.561579I
b = 0.464083 − 1.311950I
2.56785 − 0.92887I 4.86731 − 1.64841I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.25986
a = 0.106576
b = −0.724260
−2.12922 12.5890
u = 0.417191 + 0.586889I
a = −1.44888 + 0.10396I
b = −0.440224 − 0.358961I
−6.15742 + 3.16073I −14.5529 + 3.7169I
u = 0.417191 − 0.586889I
a = −1.44888 − 0.10396I
b = −0.440224 + 0.358961I
−6.15742 − 3.16073I −14.5529 − 3.7169I
u = −0.359495 + 1.285780I
a = −1.73838 − 0.18497I
b = −1.75474 − 1.19332I
6.72411 + 6.21316I 0
u = −0.359495 − 1.285780I
a = −1.73838 + 0.18497I
b = −1.75474 + 1.19332I
6.72411 − 6.21316I 0
u = −0.497902 + 1.304690I
a = 0.884570 − 0.539656I
b = 0.897160 + 0.568011I
2.21197 + 6.06940I 0
u = −0.497902 − 1.304690I
a = 0.884570 + 0.539656I
b = 0.897160 − 0.568011I
2.21197 − 6.06940I 0
u = 0.58344 + 1.31959I
a = 1.138170 − 0.117523I
b = 0.600071 − 0.759765I
−2.48957 − 5.01486I 0
u = 0.58344 − 1.31959I
a = 1.138170 + 0.117523I
b = 0.600071 + 0.759765I
−2.48957 + 5.01486I 0
u = −0.08131 + 1.45044I
a = −1.72119 + 0.88843I
b = −0.820310 + 0.305825I
7.85531 − 1.16591I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.08131 − 1.45044I
a = −1.72119 − 0.88843I
b = −0.820310 − 0.305825I
7.85531 + 1.16591I 0
u = 0.61362 + 1.38794I
a = −0.856322 + 0.234037I
b = −0.577930 + 0.946142I
−1.89505 − 7.33551I 0
u = 0.61362 − 1.38794I
a = −0.856322 − 0.234037I
b = −0.577930 − 0.946142I
−1.89505 + 7.33551I 0
u = −0.452526 + 0.035117I
a = −1.24367 − 1.43822I
b = 0.967861 − 0.831701I
2.70807 − 2.95640I −0.93484 + 2.88220I
u = −0.452526 − 0.035117I
a = −1.24367 + 1.43822I
b = 0.967861 + 0.831701I
2.70807 + 2.95640I −0.93484 − 2.88220I
u = 1.32694 + 1.08802I
a = −0.116548 + 0.093587I
b = 0.044971 + 0.286445I
−7.10745 − 4.64492I 0
u = 1.32694 − 1.08802I
a = −0.116548 − 0.093587I
b = 0.044971 − 0.286445I
−7.10745 + 4.64492I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 7u
36
+ ··· − 14u + 11)(u
111
− 4u
110
+ ··· + 75u − 19)
c
2
(u
37
− 2u
36
+ ··· + 2u − 1)(u
111
− 3u
110
+ ··· + 11u + 1)
c
3
(u
37
+ 10u
35
+ ··· + 24u − 4)
· (u
111
+ u
110
+ ··· − 11375608u + 498668)
c
4
(u
37
+ 7u
36
+ ··· − 14u − 11)(u
111
− 4u
110
+ ··· + 75u − 19)
c
5
(u
37
− 13u
35
+ ··· + 12u + 4)(u
111
− u
110
+ ··· + 25708u + 2404)
c
6
(u
37
+ 2u
36
+ ··· + 2u + 1)(u
111
− 3u
110
+ ··· + 11u + 1)
c
7
(u
37
+ 7u
36
+ ··· + 54u + 53)
· (u
111
+ 8u
110
+ ··· − 3750361u + 280259)
c
8
(u
37
− 2u
35
+ ··· + 95u + 25)
· (u
111
− 5u
110
+ ··· + 1057226u + 206759)
c
9
(u
37
− u
36
+ ··· − 3u − 1)(u
111
− 2u
110
+ ··· − 1.18788 × 10
7
u − 708719)
c
10
(u
37
+ 22u
36
+ ··· + 18u + 1)(u
111
+ 11u
110
+ ··· − 13685u − 1355)
c
11
(u
37
− 13u
35
+ ··· + 12u − 4)(u
111
− u
110
+ ··· + 25708u + 2404)
c
12
(u
37
− 3u
36
+ ··· + 7u + 1)(u
111
+ 8u
110
+ ··· − 59598u − 25569)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
37
+ 23y
36
+ ··· − 970y −121)(y
111
+ 68y
110
+ ··· − 21507y −361)
c
2
, c
6
(y
37
− 12y
36
+ ··· − 18y −1)(y
111
− 75y
110
+ ··· − 235y −1)
c
3
(y
37
+ 20y
36
+ ··· + 2240y
2
− 16)
· (y
111
− 15y
110
+ ··· + 14994491642816y −248669774224)
c
5
, c
11
(y
37
− 26y
36
+ ··· + 16y −16)
· (y
111
− 61y
110
+ ··· + 397749808y −5779216)
c
7
(y
37
− 23y
36
+ ··· − 197000y −2809)
· (y
111
+ 10y
110
+ ··· − 12572239397577y −78545107081)
c
8
(y
37
− 4y
36
+ ··· − 13625y −625)
· (y
111
− 3y
110
+ ··· − 601815422274y −42749284081)
c
9
(y
37
+ 15y
36
+ ··· − 13y −1)
· (y
111
− 24y
110
+ ··· + 75899128605414y −502282620961)
c
10
(y
37
− 22y
36
+ ··· + 24y −1)
· (y
111
− 41y
110
+ ··· + 78323675y −1836025)
c
12
(y
37
− 13y
36
+ ··· + 27y −1)
· (y
111
− 32y
110
+ ··· + 18684218322y −653773761)
27
