12a
0932
(K12a
0932
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 8 2 11 3 1 5 7 10
Solving Sequence
2,7
6
3,12
11 8 9 5 4 1 10
c
6
c
2
c
11
c
7
c
8
c
5
c
4
c
1
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.41105 × 10
799
u
150
+ 6.29072 × 10
798
u
149
+ ··· + 1.72778 × 10
801
b + 1.45209 × 10
805
,
− 1.56739 × 10
805
u
150
+ 3.30443 × 10
804
u
149
+ ··· + 1.09830 × 10
807
a + 1.08834 × 10
811
,
u
151
+ 50u
149
+ ··· − 12000095u − 635671i
I
u
2
= h−8.46792 × 10
33
u
45
− 3.69547 × 10
34
u
44
+ ··· + 1.19695 × 10
33
b + 4.21370 × 10
34
,
5.75996 × 10
34
u
45
+ 1.92741 × 10
35
u
44
+ ··· + 1.19695 × 10
33
a + 1.44621 × 10
34
, u
46
+ 3u
45
+ ··· + 6u − 1i
* 2 irreducible components of dim
C
= 0, with total 197 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−2.41 × 10
799
u
150
+ 6.29 × 10
798
u
149
+ · · · + 1.73 × 10
801
b + 1.45 ×
10
805
, −1.57 × 10
805
u
150
+ 3.30 × 10
804
u
149
+ · · · + 1.10 × 10
807
a + 1.09 ×
10
811
, u
151
+ 50u
149
+ · · · − 12000095u − 635671i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
0.0142711u
150
− 0.00300868u
149
+ ··· − 180539.u − 9909.32
0.0139546u
150
− 0.00364092u
149
+ ··· − 147724.u − 8404.37
a
11
=
0.000316499u
150
+ 0.000632245u
149
+ ··· − 32814.9u − 1504.94
0.0139546u
150
− 0.00364092u
149
+ ··· − 147724.u − 8404.37
a
8
=
−0.0165871u
150
− 0.0245620u
149
+ ··· + 237804.u + 12996.9
0.0277901u
150
+ 0.00382596u
149
+ ··· − 227726.u − 11674.0
a
9
=
−0.000639872u
150
− 0.0193413u
149
+ ··· + 135615.u + 7941.56
0.0243744u
150
+ 0.00465333u
149
+ ··· − 257128.u − 13410.6
a
5
=
0.0114673u
150
− 0.00964512u
149
+ ··· + 91654.0u + 5521.75
−0.00414055u
150
+ 0.0220643u
149
+ ··· − 100097.u − 5373.04
a
4
=
0.00508007u
150
+ 0.00565611u
149
+ ··· − 258979.u − 15129.5
0.00557188u
150
+ 0.0152743u
149
+ ··· − 21634.5u − 1380.27
a
1
=
−0.00519421u
150
− 0.00101640u
149
+ ··· + 157848.u + 9370.88
0.0297297u
150
− 0.0138827u
149
+ ··· − 29277.1u − 857.438
a
10
=
−0.0264609u
150
− 0.0231937u
149
+ ··· + 416401.u + 21980.2
−0.00507039u
150
+ 0.00103144u
149
+ ··· + 2108.46u − 139.846
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0706799u
150
+ 0.0664166u
149
+ ··· − 832660.u − 50135.3
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
151
− 15u
150
+ ··· − 22057694910u + 1658964361
c
2
, c
6
u
151
+ 50u
149
+ ··· − 12000095u − 635671
c
3
, c
8
u
151
− u
150
+ ··· + 40642u + 9299
c
4
u
151
+ 3u
150
+ ··· + 191957u − 6301
c
5
u
151
− 7u
150
+ ··· + 13056495585u − 1546221241
c
7
, c
11
u
151
− 3u
150
+ ··· − 44403u − 18287
c
9
, c
12
u
151
+ 5u
150
+ ··· + 31u + 1
c
10
u
151
− u
150
+ ··· + 2070354906u − 331170187
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
151
− 69y
150
+ ··· + 1.51 × 10
20
y −2.75 × 10
18
c
2
, c
6
y
151
+ 100y
150
+ ··· − 2921995709471y −404077620241
c
3
, c
8
y
151
− 139y
150
+ ··· − 4712909788y −86471401
c
4
y
151
− 17y
150
+ ··· + 25879162721y −39702601
c
5
y
151
− 83y
150
+ ··· + 1.37 × 10
19
y −2.39 × 10
18
c
7
, c
11
y
151
+ 93y
150
+ ··· − 13900794685y −334414369
c
9
, c
12
y
151
+ 117y
150
+ ··· − 69y −1
c
10
y
151
− 61y
150
+ ··· + 8.43 × 10
18
y −1.10 × 10
17
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.865429 + 0.496053I
a = −0.268547 − 0.144131I
b = −0.169743 + 0.653881I
0.24032 + 1.74389I 0
u = 0.865429 − 0.496053I
a = −0.268547 + 0.144131I
b = −0.169743 − 0.653881I
0.24032 − 1.74389I 0
u = 0.544660 + 0.865037I
a = 1.98651 + 1.02388I
b = 0.263339 + 1.062250I
−5.22891 + 4.97394I 0
u = 0.544660 − 0.865037I
a = 1.98651 − 1.02388I
b = 0.263339 − 1.062250I
−5.22891 − 4.97394I 0
u = −1.02743
a = 2.97107
b = 1.32448
3.05308 0
u = −0.242033 + 1.033150I
a = −1.73031 + 1.26498I
b = −0.447359 + 0.918474I
−7.80679 − 9.01651I 0
u = −0.242033 − 1.033150I
a = −1.73031 − 1.26498I
b = −0.447359 − 0.918474I
−7.80679 + 9.01651I 0
u = 0.530409 + 0.774022I
a = −0.995330 + 0.824807I
b = −0.325630 + 0.719551I
−0.139921 + 0.875960I 0
u = 0.530409 − 0.774022I
a = −0.995330 − 0.824807I
b = −0.325630 − 0.719551I
−0.139921 − 0.875960I 0
u = 0.243570 + 1.042540I
a = −1.15722 + 1.81109I
b = −0.078889 − 0.972468I
−0.83258 + 2.48333I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.243570 − 1.042540I
a = −1.15722 − 1.81109I
b = −0.078889 + 0.972468I
−0.83258 − 2.48333I 0
u = 1.061410 + 0.143447I
a = 1.90202 + 0.28675I
b = 0.947695 + 0.058209I
−5.81650 + 7.46022I 0
u = 1.061410 − 0.143447I
a = 1.90202 − 0.28675I
b = 0.947695 − 0.058209I
−5.81650 − 7.46022I 0
u = 0.129607 + 1.069170I
a = 0.05263 − 2.20256I
b = −0.042773 + 1.024220I
−4.47865 − 1.10856I 0
u = 0.129607 − 1.069170I
a = 0.05263 + 2.20256I
b = −0.042773 − 1.024220I
−4.47865 + 1.10856I 0
u = −0.265402 + 1.052710I
a = 1.54598 − 0.57846I
b = 0.522807 − 0.919801I
−3.35425 − 5.50168I 0
u = −0.265402 − 1.052710I
a = 1.54598 + 0.57846I
b = 0.522807 + 0.919801I
−3.35425 + 5.50168I 0
u = −0.900947 + 0.097057I
a = 0.337167 − 0.367659I
b = 0.214532 − 1.215350I
−10.20030 − 3.80821I 0
u = −0.900947 − 0.097057I
a = 0.337167 + 0.367659I
b = 0.214532 + 1.215350I
−10.20030 + 3.80821I 0
u = −0.298443 + 0.844307I
a = −0.951262 − 0.856924I
b = 0.311635 − 0.762574I
−10.66430 − 2.51485I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.298443 − 0.844307I
a = −0.951262 + 0.856924I
b = 0.311635 + 0.762574I
−10.66430 + 2.51485I 0
u = 0.638574 + 0.902465I
a = −1.64056 − 0.23236I
b = −0.290932 − 0.945919I
−0.86401 + 3.67685I 0
u = 0.638574 − 0.902465I
a = −1.64056 + 0.23236I
b = −0.290932 + 0.945919I
−0.86401 − 3.67685I 0
u = 0.430723 + 1.021410I
a = 0.367353 − 0.044669I
b = 0.587542 − 0.252811I
−2.11097 + 2.48449I 0
u = 0.430723 − 1.021410I
a = 0.367353 + 0.044669I
b = 0.587542 + 0.252811I
−2.11097 − 2.48449I 0
u = 0.224900 + 0.861854I
a = 1.98744 − 0.65991I
b = 0.268852 − 0.617564I
−3.78934 + 2.50891I 0
u = 0.224900 − 0.861854I
a = 1.98744 + 0.65991I
b = 0.268852 + 0.617564I
−3.78934 − 2.50891I 0
u = −0.309284 + 1.075300I
a = 0.725149 + 0.242007I
b = 1.039710 − 0.692197I
−8.23597 − 4.81426I 0
u = −0.309284 − 1.075300I
a = 0.725149 − 0.242007I
b = 1.039710 + 0.692197I
−8.23597 + 4.81426I 0
u = −0.872510 + 0.109907I
a = −0.341550 − 0.900308I
b = −0.376088 − 0.847274I
−3.69772 − 1.50417I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.872510 − 0.109907I
a = −0.341550 + 0.900308I
b = −0.376088 + 0.847274I
−3.69772 + 1.50417I 0
u = −0.277223 + 1.095000I
a = −1.266940 − 0.089463I
b = −0.657102 + 0.996844I
−6.51741 − 2.25945I 0
u = −0.277223 − 1.095000I
a = −1.266940 + 0.089463I
b = −0.657102 − 0.996844I
−6.51741 + 2.25945I 0
u = −0.464801 + 0.730573I
a = 1.82903 − 1.34189I
b = −0.130016 − 1.106320I
−7.01390 + 6.25687I 0
u = −0.464801 − 0.730573I
a = 1.82903 + 1.34189I
b = −0.130016 + 1.106320I
−7.01390 − 6.25687I 0
u = −0.223093 + 1.116750I
a = −0.554263 − 0.411086I
b = −1.328580 − 0.018051I
−3.61376 − 6.53097I 0
u = −0.223093 − 1.116750I
a = −0.554263 + 0.411086I
b = −1.328580 + 0.018051I
−3.61376 + 6.53097I 0
u = −0.157681 + 1.132260I
a = −0.442803 − 0.705338I
b = −0.833943 − 0.288319I
−5.15589 + 2.04118I 0
u = −0.157681 − 1.132260I
a = −0.442803 + 0.705338I
b = −0.833943 + 0.288319I
−5.15589 − 2.04118I 0
u = −0.342353 + 1.110630I
a = −0.414558 − 0.051773I
b = −0.685358 + 0.403556I
−5.33499 − 3.86310I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.342353 − 1.110630I
a = −0.414558 + 0.051773I
b = −0.685358 − 0.403556I
−5.33499 + 3.86310I 0
u = −0.220364 + 1.142150I
a = 0.586780 + 0.498797I
b = 1.211050 + 0.255080I
−0.25364 − 1.94629I 0
u = −0.220364 − 1.142150I
a = 0.586780 − 0.498797I
b = 1.211050 − 0.255080I
−0.25364 + 1.94629I 0
u = 0.011102 + 1.168060I
a = −1.81662 − 0.57133I
b = −0.590866 − 0.686481I
−7.14480 − 4.85538I 0
u = 0.011102 − 1.168060I
a = −1.81662 + 0.57133I
b = −0.590866 + 0.686481I
−7.14480 + 4.85538I 0
u = 0.023141 + 1.180660I
a = 0.589991 − 0.360111I
b = 0.81303 + 1.59511I
−10.60990 + 3.42667I 0
u = 0.023141 − 1.180660I
a = 0.589991 + 0.360111I
b = 0.81303 − 1.59511I
−10.60990 − 3.42667I 0
u = 0.022790 + 1.186940I
a = 1.287750 + 0.451193I
b = 0.748027 + 0.595783I
−2.38157 − 0.70111I 0
u = 0.022790 − 1.186940I
a = 1.287750 − 0.451193I
b = 0.748027 − 0.595783I
−2.38157 + 0.70111I 0
u = 0.517442 + 0.619554I
a = −0.16912 − 1.85951I
b = −0.026688 − 1.051580I
−4.59461 − 0.62986I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.517442 − 0.619554I
a = −0.16912 + 1.85951I
b = −0.026688 + 1.051580I
−4.59461 + 0.62986I 0
u = 0.236059 + 0.770587I
a = 3.37427 − 1.48040I
b = 0.053774 + 0.746655I
−5.31765 + 5.61402I 0
u = 0.236059 − 0.770587I
a = 3.37427 + 1.48040I
b = 0.053774 − 0.746655I
−5.31765 − 5.61402I 0
u = −0.049615 + 1.202690I
a = 1.05417 − 1.15879I
b = 0.525700 + 1.129350I
−12.49350 + 1.20983I 0
u = −0.049615 − 1.202690I
a = 1.05417 + 1.15879I
b = 0.525700 − 1.129350I
−12.49350 − 1.20983I 0
u = 0.584037 + 0.541159I
a = 0.207858 + 0.476487I
b = 0.126923 + 0.752522I
−0.147746 + 1.239980I 0
u = 0.584037 − 0.541159I
a = 0.207858 − 0.476487I
b = 0.126923 − 0.752522I
−0.147746 − 1.239980I 0
u = 0.422029 + 0.674736I
a = −0.208595 + 0.256715I
b = −0.019292 + 0.489149I
−0.150324 + 1.191570I 0
u = 0.422029 − 0.674736I
a = −0.208595 − 0.256715I
b = −0.019292 − 0.489149I
−0.150324 − 1.191570I 0
u = −0.005809 + 1.209250I
a = −0.775376 + 0.595738I
b = −0.67186 − 1.30048I
−7.68026 + 2.12334I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.005809 − 1.209250I
a = −0.775376 − 0.595738I
b = −0.67186 + 1.30048I
−7.68026 − 2.12334I 0
u = −0.780610 + 0.123255I
a = −0.705884 − 0.912679I
b = −0.490970 − 1.233500I
−4.51635 + 8.61713I 0
u = −0.780610 − 0.123255I
a = −0.705884 + 0.912679I
b = −0.490970 + 1.233500I
−4.51635 − 8.61713I 0
u = 0.889337 + 0.826648I
a = −0.921696 − 0.254962I
b = −0.261736 − 0.935220I
−0.68326 + 4.13158I 0
u = 0.889337 − 0.826648I
a = −0.921696 + 0.254962I
b = −0.261736 + 0.935220I
−0.68326 − 4.13158I 0
u = −0.551982 + 0.557205I
a = −1.09061 + 1.48623I
b = 0.114194 + 1.055160I
−1.98667 + 2.38452I 0
u = −0.551982 − 0.557205I
a = −1.09061 − 1.48623I
b = 0.114194 − 1.055160I
−1.98667 − 2.38452I 0
u = −0.536840 + 1.099030I
a = −0.0499611 + 0.0855238I
b = −0.153416 + 0.527398I
−5.18855 − 3.89854I 0
u = −0.536840 − 1.099030I
a = −0.0499611 − 0.0855238I
b = −0.153416 − 0.527398I
−5.18855 + 3.89854I 0
u = −0.026662 + 1.226840I
a = −1.031000 − 0.148899I
b = −1.104570 − 0.731839I
−5.21433 + 4.11104I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.026662 − 1.226840I
a = −1.031000 + 0.148899I
b = −1.104570 + 0.731839I
−5.21433 − 4.11104I 0
u = −0.740949 + 0.210292I
a = 0.779348 + 1.100260I
b = 0.497411 + 1.187600I
−0.53238 + 4.13880I 0
u = −0.740949 − 0.210292I
a = 0.779348 − 1.100260I
b = 0.497411 − 1.187600I
−0.53238 − 4.13880I 0
u = 0.088278 + 1.227140I
a = −0.313874 + 0.509264I
b = −0.29913 − 1.62071I
−9.64732 + 0.27043I 0
u = 0.088278 − 1.227140I
a = −0.313874 − 0.509264I
b = −0.29913 + 1.62071I
−9.64732 − 0.27043I 0
u = −0.718372 + 0.130287I
a = 0.757620 + 0.576115I
b = 0.705582 + 0.317866I
−5.57819 + 0.95362I 0
u = −0.718372 − 0.130287I
a = 0.757620 − 0.576115I
b = 0.705582 − 0.317866I
−5.57819 − 0.95362I 0
u = 0.694922 + 0.180838I
a = −1.76585 − 1.29723I
b = −0.393984 − 0.079643I
0.93187 + 2.46526I 0
u = 0.694922 − 0.180838I
a = −1.76585 + 1.29723I
b = −0.393984 + 0.079643I
0.93187 − 2.46526I 0
u = −0.338018 + 1.238260I
a = 0.097805 + 0.281128I
b = 0.653616 + 0.080122I
−9.70476 − 2.81066I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.338018 − 1.238260I
a = 0.097805 − 0.281128I
b = 0.653616 − 0.080122I
−9.70476 + 2.81066I 0
u = 0.684993 + 0.202292I
a = 0.573798 − 0.249534I
b = 0.337461 + 0.567327I
0.03770 + 1.55930I 0
u = 0.684993 − 0.202292I
a = 0.573798 + 0.249534I
b = 0.337461 − 0.567327I
0.03770 − 1.55930I 0
u = 0.075513 + 1.297180I
a = 0.352206 − 0.683539I
b = 0.319398 + 1.358910I
−6.12604 + 2.87334I 0
u = 0.075513 − 1.297180I
a = 0.352206 + 0.683539I
b = 0.319398 − 1.358910I
−6.12604 − 2.87334I 0
u = −0.383926 + 1.242470I
a = −1.58358 − 0.48738I
b = −0.622129 + 1.263270I
−7.94194 − 3.63600I 0
u = −0.383926 − 1.242470I
a = −1.58358 + 0.48738I
b = −0.622129 − 1.263270I
−7.94194 + 3.63600I 0
u = 0.402982 + 1.236750I
a = 0.945176 − 0.790667I
b = 0.278268 + 1.025640I
−4.26480 + 5.68885I 0
u = 0.402982 − 1.236750I
a = 0.945176 + 0.790667I
b = 0.278268 − 1.025640I
−4.26480 − 5.68885I 0
u = −0.697140
a = −0.683406
b = −0.509534
−2.09215 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.126950 + 0.673716I
a = 0.566957 − 0.619186I
b = −0.016370 − 1.065140I
−3.58274 − 2.29086I 0
u = −1.126950 − 0.673716I
a = 0.566957 + 0.619186I
b = −0.016370 + 1.065140I
−3.58274 + 2.29086I 0
u = −0.397256 + 1.257510I
a = 1.37131 + 0.49851I
b = 0.60803 − 1.35519I
−3.94419 − 8.42195I 0
u = −0.397256 − 1.257510I
a = 1.37131 − 0.49851I
b = 0.60803 + 1.35519I
−3.94419 + 8.42195I 0
u = −0.413412 + 1.260990I
a = −1.307750 − 0.524959I
b = −0.58013 + 1.40879I
−8.0994 − 13.0437I 0
u = −0.413412 − 1.260990I
a = −1.307750 + 0.524959I
b = −0.58013 − 1.40879I
−8.0994 + 13.0437I 0
u = 1.336700 + 0.058716I
a = 0.944357 − 0.873808I
b = 0.486507 − 1.325130I
−10.0374 − 12.6004I 0
u = 1.336700 − 0.058716I
a = 0.944357 + 0.873808I
b = 0.486507 + 1.325130I
−10.0374 + 12.6004I 0
u = −0.603853 + 0.263884I
a = −0.802637 − 0.308458I
b = −0.405901 + 1.036810I
−4.74200 − 3.35284I 0
u = −0.603853 − 0.263884I
a = −0.802637 + 0.308458I
b = −0.405901 − 1.036810I
−4.74200 + 3.35284I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.020947 + 1.371670I
a = −0.233442 + 0.731342I
b = −0.376381 − 1.258700I
−9.67693 + 6.00190I 0
u = −0.020947 − 1.371670I
a = −0.233442 − 0.731342I
b = −0.376381 + 1.258700I
−9.67693 − 6.00190I 0
u = −0.504923 + 1.297790I
a = 0.0816543 − 0.0797088I
b = −0.273500 − 0.474278I
−7.97110 − 6.61693I 0
u = −0.504923 − 1.297790I
a = 0.0816543 + 0.0797088I
b = −0.273500 + 0.474278I
−7.97110 + 6.61693I 0
u = 1.283560 + 0.549496I
a = 1.07012 − 1.23907I
b = 0.61326 − 1.34358I
−9.38239 + 1.82696I 0
u = 1.283560 − 0.549496I
a = 1.07012 + 1.23907I
b = 0.61326 + 1.34358I
−9.38239 − 1.82696I 0
u = −0.464924 + 1.330000I
a = 1.136870 + 0.564568I
b = 0.314220 − 1.378770I
−14.5302 − 8.7392I 0
u = −0.464924 − 1.330000I
a = 1.136870 − 0.564568I
b = 0.314220 + 1.378770I
−14.5302 + 8.7392I 0
u = −0.64740 + 1.27955I
a = −1.048540 − 0.223562I
b = −0.066452 + 1.225290I
−13.35040 − 1.75878I 0
u = −0.64740 − 1.27955I
a = −1.048540 + 0.223562I
b = −0.066452 − 1.225290I
−13.35040 + 1.75878I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.32457 + 1.39796I
a = 1.04377 + 1.00993I
b = 0.448353 − 1.188110I
−12.9233 − 7.0405I 0
u = −0.32457 − 1.39796I
a = 1.04377 − 1.00993I
b = 0.448353 + 1.188110I
−12.9233 + 7.0405I 0
u = −0.41369 + 1.37876I
a = −1.072420 − 0.722761I
b = −0.375376 + 1.258440I
−9.76629 − 7.56388I 0
u = −0.41369 − 1.37876I
a = −1.072420 + 0.722761I
b = −0.375376 − 1.258440I
−9.76629 + 7.56388I 0
u = −0.491824 + 0.244071I
a = −1.51385 − 0.82558I
b = −0.856769 + 0.152674I
−1.17186 + 3.67564I 0
u = −0.491824 − 0.244071I
a = −1.51385 + 0.82558I
b = −0.856769 − 0.152674I
−1.17186 − 3.67564I 0
u = −0.431984 + 0.305923I
a = 1.92708 + 1.10809I
b = 0.792100 − 0.317195I
2.25352 − 0.69683I 7.44590 + 0.I
u = −0.431984 − 0.305923I
a = 1.92708 − 1.10809I
b = 0.792100 + 0.317195I
2.25352 + 0.69683I 7.44590 + 0.I
u = −0.396941 + 0.336276I
a = −1.52035 − 1.99706I
b = −0.744801 + 0.481588I
−2.17631 − 5.57718I 0. + 8.62109I
u = −0.396941 − 0.336276I
a = −1.52035 + 1.99706I
b = −0.744801 − 0.481588I
−2.17631 + 5.57718I 0. − 8.62109I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.48151 + 1.40006I
a = 0.991155 − 0.517715I
b = 1.217320 − 0.157107I
−10.6351 + 12.9244I 0
u = 0.48151 − 1.40006I
a = 0.991155 + 0.517715I
b = 1.217320 + 0.157107I
−10.6351 − 12.9244I 0
u = −1.45426 + 0.30736I
a = −0.0456150 + 0.0626014I
b = −0.039145 + 1.001670I
−3.34812 − 2.67835I 0
u = −1.45426 − 0.30736I
a = −0.0456150 − 0.0626014I
b = −0.039145 − 1.001670I
−3.34812 + 2.67835I 0
u = −0.387947 + 0.326373I
a = −0.97702 − 2.12459I
b = −0.411692 − 1.107850I
−5.08267 + 0.03805I 0
u = −0.387947 − 0.326373I
a = −0.97702 + 2.12459I
b = −0.411692 + 1.107850I
−5.08267 − 0.03805I 0
u = 1.50842 + 0.15989I
a = −0.802603 + 1.034310I
b = −0.44633 + 1.40123I
−4.57413 − 6.15030I 0
u = 1.50842 − 0.15989I
a = −0.802603 − 1.034310I
b = −0.44633 − 1.40123I
−4.57413 + 6.15030I 0
u = 0.28443 + 1.51858I
a = 0.140763 − 0.107784I
b = 0.36207 − 1.56249I
−16.4901 + 6.9537I 0
u = 0.28443 − 1.51858I
a = 0.140763 + 0.107784I
b = 0.36207 + 1.56249I
−16.4901 − 6.9537I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.46256 + 1.48899I
a = −1.171880 + 0.440110I
b = −1.306040 + 0.156612I
−5.03868 + 6.92488I 0
u = 0.46256 − 1.48899I
a = −1.171880 − 0.440110I
b = −1.306040 − 0.156612I
−5.03868 − 6.92488I 0
u = 0.61845 + 1.43769I
a = 1.51618 − 0.17264I
b = 0.62683 + 1.36009I
−14.4541 + 19.4053I 0
u = 0.61845 − 1.43769I
a = 1.51618 + 0.17264I
b = 0.62683 − 1.36009I
−14.4541 − 19.4053I 0
u = −0.369591 + 0.227298I
a = 1.65932 + 1.13012I
b = 0.582680 − 1.110040I
−7.73847 − 3.93611I −3.85928 + 2.86538I
u = −0.369591 − 0.227298I
a = 1.65932 − 1.13012I
b = 0.582680 + 1.110040I
−7.73847 + 3.93611I −3.85928 − 2.86538I
u = 0.70516 + 1.40284I
a = 1.25706 − 0.84733I
b = 1.157540 − 0.475298I
−9.30790 − 1.06886I 0
u = 0.70516 − 1.40284I
a = 1.25706 + 0.84733I
b = 1.157540 + 0.475298I
−9.30790 + 1.06886I 0
u = 0.65088 + 1.48622I
a = −1.44384 + 0.02456I
b = −0.62453 − 1.38658I
−9.0435 + 13.6226I 0
u = 0.65088 − 1.48622I
a = −1.44384 − 0.02456I
b = −0.62453 + 1.38658I
−9.0435 − 13.6226I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.44507 + 1.57390I
a = −0.666378 − 0.652113I
b = −0.282230 + 1.089450I
−9.92471 − 9.20125I 0
u = −0.44507 − 1.57390I
a = −0.666378 + 0.652113I
b = −0.282230 − 1.089450I
−9.92471 + 9.20125I 0
u = −0.64408 + 1.50566I
a = 0.760212 + 0.372833I
b = 0.166863 − 1.139230I
−7.51354 − 4.93051I 0
u = −0.64408 − 1.50566I
a = 0.760212 − 0.372833I
b = 0.166863 + 1.139230I
−7.51354 + 4.93051I 0
u = 1.67334
a = −2.44555
b = −1.51359
0.908689 0
u = 0.31458 + 1.66622I
a = −0.115652 + 0.232418I
b = −0.28548 + 1.54537I
−11.38410 + 0.88058I 0
u = 0.31458 − 1.66622I
a = −0.115652 − 0.232418I
b = −0.28548 − 1.54537I
−11.38410 − 0.88058I 0
u = 0.83224 + 1.48979I
a = 1.62547 + 0.30382I
b = 0.73549 + 1.41846I
−12.27440 + 6.24270I 0
u = 0.83224 − 1.48979I
a = 1.62547 − 0.30382I
b = 0.73549 − 1.41846I
−12.27440 − 6.24270I 0
u = 0.47177 + 1.65571I
a = 0.036914 − 0.181850I
b = 0.28968 − 1.42137I
−15.6887 − 5.6373I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.47177 − 1.65571I
a = 0.036914 + 0.181850I
b = 0.28968 + 1.42137I
−15.6887 + 5.6373I 0
20
II.
I
u
2
= h−8.47×10
33
u
45
−3.70×10
34
u
44
+· · ·+1.20×10
33
b+4.21×10
34
, 5.76×
10
34
u
45
+1.93×10
35
u
44
+· · ·+1.20×10
33
a+1.45×10
34
, u
46
+3u
45
+· · ·+6u−1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
−48.1220u
45
− 161.027u
44
+ ··· + 269.890u − 12.0825
7.07458u
45
+ 30.8741u
44
+ ··· + 174.979u − 35.2036
a
11
=
−55.1965u
45
− 191.901u
44
+ ··· + 94.9112u + 23.1211
7.07458u
45
+ 30.8741u
44
+ ··· + 174.979u − 35.2036
a
8
=
17.8062u
45
− 7.62026u
44
+ ··· − 1498.06u + 278.877
−14.4006u
45
− 46.3463u
44
+ ··· − 73.7044u + 27.9560
a
9
=
1.49900u
45
− 44.8909u
44
+ ··· − 1173.54u + 227.493
−23.6439u
45
− 64.9481u
44
+ ··· + 164.606u − 11.7774
a
5
=
−204.953u
45
− 638.854u
44
+ ··· + 1845.90u − 238.051
−37.4147u
45
− 87.5691u
44
+ ··· + 851.882u − 142.972
a
4
=
−5.53221u
45
+ 23.2553u
44
+ ··· + 578.202u − 116.046
14.5588u
45
+ 75.0043u
44
+ ··· + 302.558u − 71.1940
a
1
=
100.135u
45
+ 264.308u
44
+ ··· − 1583.23u + 271.409
2.69527u
45
− 42.9712u
44
+ ··· − 802.705u + 163.900
a
10
=
348.927u
45
+ 1171.16u
44
+ ··· − 165.318u − 166.841
87.5862u
45
+ 262.982u
44
+ ··· − 640.454u + 70.1859
(ii) Obstruction class = 1
(iii) Cusp Shapes = 131.081u
45
+ 402.148u
44
+ ··· − 1446.57u + 184.859
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
46
− 6u
45
+ ··· − 345u + 73
c
2
u
46
− 3u
45
+ ··· − 6u − 1
c
3
u
46
− 23u
44
+ ··· + 15u + 9
c
4
u
46
− 2u
45
+ ··· + 2u − 1
c
5
u
46
− 12u
45
+ ··· − 12u + 1
c
6
u
46
+ 3u
45
+ ··· + 6u − 1
c
7
u
46
− 2u
45
+ ··· + 2u − 1
c
8
u
46
− 23u
44
+ ··· − 15u + 9
c
9
u
46
+ 6u
45
+ ··· + 62u + 7
c
10
u
46
− 4u
44
+ ··· + 33u − 9
c
11
u
46
+ 2u
45
+ ··· − 2u − 1
c
12
u
46
− 6u
45
+ ··· − 62u + 7
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
− 24y
45
+ ··· − 12883y + 5329
c
2
, c
6
y
46
+ 21y
45
+ ··· + 28y + 1
c
3
, c
8
y
46
− 46y
45
+ ··· − 2043y + 81
c
4
y
46
+ 8y
45
+ ··· − 68y + 1
c
5
y
46
− 14y
45
+ ··· + 1064y + 1
c
7
, c
11
y
46
+ 22y
45
+ ··· + 30y + 1
c
9
, c
12
y
46
+ 34y
45
+ ··· − 78y + 49
c
10
y
46
− 8y
45
+ ··· − 315y + 81
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877897 + 0.554676I
a = −0.521000 − 0.087318I
b = −0.124352 + 0.812099I
−0.33376 + 1.93837I −7.58118 − 4.65231I
u = 0.877897 − 0.554676I
a = −0.521000 + 0.087318I
b = −0.124352 − 0.812099I
−0.33376 − 1.93837I −7.58118 + 4.65231I
u = 1.04295
a = −2.99015
b = −1.36593
3.00070 −79.7240
u = 0.314538 + 0.876488I
a = −0.661253 + 0.701113I
b = −0.686004 + 0.198355I
0.86731 + 1.36984I 4.16726 − 2.20924I
u = 0.314538 − 0.876488I
a = −0.661253 − 0.701113I
b = −0.686004 − 0.198355I
0.86731 − 1.36984I 4.16726 + 2.20924I
u = 0.446542 + 0.983388I
a = 2.05662 − 0.08252I
b = 0.248104 + 0.782385I
−4.15338 + 3.97411I −4.27708 − 3.90046I
u = 0.446542 − 0.983388I
a = 2.05662 + 0.08252I
b = 0.248104 − 0.782385I
−4.15338 − 3.97411I −4.27708 + 3.90046I
u = −0.162379 + 0.896640I
a = −0.583815 + 0.146614I
b = −0.783972 + 1.044000I
−8.79531 − 4.00405I −12.01832 + 2.80318I
u = −0.162379 − 0.896640I
a = −0.583815 − 0.146614I
b = −0.783972 − 1.044000I
−8.79531 + 4.00405I −12.01832 − 2.80318I
u = −0.035254 + 1.164750I
a = −0.429805 + 0.629812I
b = −0.65976 − 1.40509I
−10.03850 + 3.13430I −6.98568 + 0.I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.035254 − 1.164750I
a = −0.429805 − 0.629812I
b = −0.65976 + 1.40509I
−10.03850 − 3.13430I −6.98568 + 0.I
u = −1.093280 + 0.411654I
a = 0.754734 − 0.257030I
b = 0.343340 − 1.083710I
−4.05150 − 4.02769I 0
u = −1.093280 − 0.411654I
a = 0.754734 + 0.257030I
b = 0.343340 + 1.083710I
−4.05150 + 4.02769I 0
u = 0.768041 + 0.882116I
a = −1.41344 − 0.26949I
b = −0.258376 − 0.988006I
−1.30679 + 3.83387I 0
u = 0.768041 − 0.882116I
a = −1.41344 + 0.26949I
b = −0.258376 + 0.988006I
−1.30679 − 3.83387I 0
u = 0.251587 + 0.790476I
a = −0.06808 − 2.67707I
b = 0.078390 − 0.606022I
−3.21132 − 0.99195I 0.366042 − 0.481747I
u = 0.251587 − 0.790476I
a = −0.06808 + 2.67707I
b = 0.078390 + 0.606022I
−3.21132 + 0.99195I 0.366042 + 0.481747I
u = 0.422157 + 0.658850I
a = 0.231809 − 1.133400I
b = 0.526101 − 1.119800I
−5.78361 + 0.48983I −10.39456 − 2.62224I
u = 0.422157 − 0.658850I
a = 0.231809 + 1.133400I
b = 0.526101 + 1.119800I
−5.78361 − 0.48983I −10.39456 + 2.62224I
u = 0.105120 + 0.769808I
a = 0.547161 − 1.016230I
b = 0.918050 + 0.327893I
−3.01678 + 5.18219I −5.14806 − 4.16446I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.105120 − 0.769808I
a = 0.547161 + 1.016230I
b = 0.918050 − 0.327893I
−3.01678 − 5.18219I −5.14806 + 4.16446I
u = −0.518149 + 1.122750I
a = 0.578181 − 0.007806I
b = 0.370495 − 0.625013I
−5.02326 − 4.40440I 0
u = −0.518149 − 1.122750I
a = 0.578181 + 0.007806I
b = 0.370495 + 0.625013I
−5.02326 + 4.40440I 0
u = −0.760439 + 0.978528I
a = −1.15238 − 1.36952I
b = −0.728445 − 0.862083I
−9.45943 − 0.22442I 0
u = −0.760439 − 0.978528I
a = −1.15238 + 1.36952I
b = −0.728445 + 0.862083I
−9.45943 + 0.22442I 0
u = 0.083792 + 1.267340I
a = 0.819679 − 0.472468I
b = 0.59725 + 1.41979I
−8.80393 + 1.68616I 0
u = 0.083792 − 1.267340I
a = 0.819679 + 0.472468I
b = 0.59725 − 1.41979I
−8.80393 − 1.68616I 0
u = −0.175520 + 1.260250I
a = 0.881425 − 0.062335I
b = 1.147650 − 0.438881I
−5.51476 − 5.21090I 0
u = −0.175520 − 1.260250I
a = 0.881425 + 0.062335I
b = 1.147650 + 0.438881I
−5.51476 + 5.21090I 0
u = −0.421706 + 1.280960I
a = −0.871703 + 0.210052I
b = 0.015574 + 0.641499I
−8.51840 − 7.09828I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.421706 − 1.280960I
a = −0.871703 − 0.210052I
b = 0.015574 − 0.641499I
−8.51840 + 7.09828I 0
u = −1.307410 + 0.435247I
a = −0.0975569 + 0.0852232I
b = 0.116605 + 0.793602I
−2.55623 − 2.10745I 0
u = −1.307410 − 0.435247I
a = −0.0975569 − 0.0852232I
b = 0.116605 − 0.793602I
−2.55623 + 2.10745I 0
u = 0.252828 + 0.544998I
a = −2.64895 + 1.40976I
b = −0.165786 + 0.641403I
0.17776 + 1.66609I 1.70973 − 2.77092I
u = 0.252828 − 0.544998I
a = −2.64895 − 1.40976I
b = −0.165786 − 0.641403I
0.17776 − 1.66609I 1.70973 + 2.77092I
u = −0.002350 + 0.568729I
a = 4.34887 − 2.92072I
b = 0.219183 − 0.662061I
−4.92288 + 5.09338I −1.32025 + 0.63790I
u = −0.002350 − 0.568729I
a = 4.34887 + 2.92072I
b = 0.219183 + 0.662061I
−4.92288 − 5.09338I −1.32025 − 0.63790I
u = 0.492802 + 0.252297I
a = −1.58411 − 2.04054I
b = −0.387107 − 1.131120I
−1.86622 + 4.26035I −3.51889 − 6.01969I
u = 0.492802 − 0.252297I
a = −1.58411 + 2.04054I
b = −0.387107 + 1.131120I
−1.86622 − 4.26035I −3.51889 + 6.01969I
u = 0.117592 + 0.517197I
a = 3.59196 + 1.71289I
b = 0.400037 + 1.081980I
−6.70213 + 7.95792I −6.11007 − 7.04497I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.117592 − 0.517197I
a = 3.59196 − 1.71289I
b = 0.400037 − 1.081980I
−6.70213 − 7.95792I −6.11007 + 7.04497I
u = −0.29644 + 1.45057I
a = 0.574281 + 0.815358I
b = 0.313485 − 1.220710I
−11.2995 − 8.6994I 0
u = −0.29644 − 1.45057I
a = 0.574281 − 0.815358I
b = 0.313485 + 1.220710I
−11.2995 + 8.6994I 0
u = −0.58639 + 1.36575I
a = −1.54293 − 0.34688I
b = −0.524851 + 1.236200I
−11.20340 − 5.66692I 0
u = −0.58639 − 1.36575I
a = −1.54293 + 0.34688I
b = −0.524851 − 1.236200I
−11.20340 + 5.66692I 0
u = −1.59010
a = 2.37077
b = 1.41470
1.03050 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 6u
45
+ ··· − 345u + 73)
· (u
151
− 15u
150
+ ··· − 22057694910u + 1658964361)
c
2
(u
46
− 3u
45
+ ··· − 6u − 1)
· (u
151
+ 50u
149
+ ··· − 12000095u − 635671)
c
3
(u
46
− 23u
44
+ ··· + 15u + 9)(u
151
− u
150
+ ··· + 40642u + 9299)
c
4
(u
46
− 2u
45
+ ··· + 2u − 1)(u
151
+ 3u
150
+ ··· + 191957u − 6301)
c
5
(u
46
− 12u
45
+ ··· − 12u + 1)
· (u
151
− 7u
150
+ ··· + 13056495585u − 1546221241)
c
6
(u
46
+ 3u
45
+ ··· + 6u − 1)
· (u
151
+ 50u
149
+ ··· − 12000095u − 635671)
c
7
(u
46
− 2u
45
+ ··· + 2u − 1)(u
151
− 3u
150
+ ··· − 44403u − 18287)
c
8
(u
46
− 23u
44
+ ··· − 15u + 9)(u
151
− u
150
+ ··· + 40642u + 9299)
c
9
(u
46
+ 6u
45
+ ··· + 62u + 7)(u
151
+ 5u
150
+ ··· + 31u + 1)
c
10
(u
46
− 4u
44
+ ··· + 33u − 9)
· (u
151
− u
150
+ ··· + 2070354906u − 331170187)
c
11
(u
46
+ 2u
45
+ ··· − 2u − 1)(u
151
− 3u
150
+ ··· − 44403u − 18287)
c
12
(u
46
− 6u
45
+ ··· − 62u + 7)(u
151
+ 5u
150
+ ··· + 31u + 1)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
− 24y
45
+ ··· − 12883y + 5329)
· (y
151
− 69y
150
+ ··· + 1.51 × 10
20
y −2.75 × 10
18
)
c
2
, c
6
(y
46
+ 21y
45
+ ··· + 28y + 1)
· (y
151
+ 100y
150
+ ··· − 2921995709471y −404077620241)
c
3
, c
8
(y
46
− 46y
45
+ ··· − 2043y + 81)
· (y
151
− 139y
150
+ ··· − 4712909788y −86471401)
c
4
(y
46
+ 8y
45
+ ··· − 68y + 1)
· (y
151
− 17y
150
+ ··· + 25879162721y −39702601)
c
5
(y
46
− 14y
45
+ ··· + 1064y + 1)
· (y
151
− 83y
150
+ ··· + 1.37 × 10
19
y −2.39 × 10
18
)
c
7
, c
11
(y
46
+ 22y
45
+ ··· + 30y + 1)
· (y
151
+ 93y
150
+ ··· − 13900794685y −334414369)
c
9
, c
12
(y
46
+ 34y
45
+ ··· − 78y + 49)(y
151
+ 117y
150
+ ··· − 69y −1)
c
10
(y
46
− 8y
45
+ ··· − 315y + 81)
· (y
151
− 61y
150
+ ··· + 8.43 × 10
18
y −1.10 × 10
17
)
32
