12a
1263
(K12a
1263
)
A knot diagram
1
Linearized knot diagam
5 7 9 11 1 10 4 12 3 2 8 6
Solving Sequence
4,9
3
10,12
8 7 2 6 11 5 1
c
3
c
9
c
8
c
7
c
2
c
6
c
11
c
4
c
1
c
5
, c
10
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.24929 × 10
783
u
139
− 7.32075 × 10
782
u
138
+ ··· + 1.05867 × 10
784
b − 2.31034 × 10
788
,
5.71289 × 10
786
u
139
+ 4.97855 × 10
788
u
138
+ ··· + 1.01943 × 10
789
a − 5.83232 × 10
793
,
u
140
− u
139
+ ··· + 332003u − 96293i
I
u
2
= h8.39783 × 10
34
u
34
− 2.36613 × 10
35
u
33
+ ··· + 6.02662 × 10
35
b − 5.43593 × 10
34
,
8.27029 × 10
35
u
34
− 1.98216 × 10
36
u
33
+ ··· + 6.02662 × 10
35
a + 1.44049 × 10
36
, u
35
− 2u
34
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 175 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
= h2.25 × 10
783
u
139
− 7.32 × 10
782
u
138
+ · · · + 1.06 × 10
784
b − 2.31 ×
10
788
, 5.71 × 10
786
u
139
+ 4.98 × 10
788
u
138
+ · · · + 1.02 × 10
789
a − 5.83 ×
10
793
, u
140
− u
139
+ · · · + 332003u − 96293i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
10
=
u
u
3
+ u
a
12
=
−0.00560401u
139
− 0.488367u
138
+ ··· − 203653.u + 57211.7
−0.212463u
139
+ 0.0691502u
138
+ ··· − 49005.2u + 21823.0
a
8
=
0.628246u
139
− 0.450621u
138
+ ··· + 38726.8u − 29886.8
−0.132909u
139
+ 0.180065u
138
+ ··· + 23446.4u − 1954.86
a
7
=
0.761156u
139
− 0.630686u
138
+ ··· + 15280.4u − 27932.0
−0.132909u
139
+ 0.180065u
138
+ ··· + 23446.4u − 1954.86
a
2
=
−1.68612u
139
+ 2.42121u
138
+ ··· + 411384.u − 56520.7
−0.223495u
139
+ 0.394283u
138
+ ··· + 73568.9u − 13608.8
a
6
=
0.571880u
139
− 0.475318u
138
+ ··· + 10925.2u − 20445.9
−0.166471u
139
+ 0.184555u
138
+ ··· + 12122.7u + 2266.14
a
11
=
1.28707u
139
− 2.82130u
138
+ ··· − 712550.u + 154932.
0.294514u
139
− 0.651470u
138
+ ··· − 168867.u + 38137.4
a
5
=
1.17734u
139
− 0.393159u
138
+ ··· + 290444.u − 116963.
−0.197733u
139
+ 0.442368u
138
+ ··· + 127471.u − 28333.1
a
1
=
0.618210u
139
− 2.20677u
138
+ ··· − 703965.u + 174816.
0.0940340u
139
− 0.645728u
138
+ ··· − 253249.u + 68008.6
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.55798u
139
+ 3.84011u
138
+ ··· + 744153.u − 121938.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
12
u
140
+ u
139
+ ··· + 111u − 19
c
2
u
140
+ u
139
+ ··· − 47u
2
+ 1
c
3
, c
9
u
140
− u
139
+ ··· + 332003u − 96293
c
4
u
140
− u
139
+ ··· + 119685000u − 24250000
c
6
u
140
− 7u
139
+ ··· − 1123u − 3431
c
7
u
140
− 2u
139
+ ··· − 1204155u + 99181
c
8
, c
11
u
140
− 40u
138
+ ··· − 17417u + 6031
c
10
u
140
+ 3u
139
+ ··· + 206177531u − 17678239
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
12
y
140
+ 141y
139
+ ··· − 5101y + 361
c
2
y
140
+ 3y
139
+ ··· − 94y + 1
c
3
, c
9
y
140
+ 87y
139
+ ··· + 397864600249y + 9272341849
c
4
y
140
+ 59y
139
+ ··· + 5616721975000000y + 588062500000000
c
6
y
140
+ 13y
139
+ ··· + 1031428699y + 11771761
c
7
y
140
− 10y
139
+ ··· − 3523667595645y + 9836870761
c
8
, c
11
y
140
− 80y
139
+ ··· − 39061407y + 36372961
c
10
y
140
+ 33y
139
+ ··· + 7961914991781171y + 312520134141121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.011537 + 0.987635I
a = 0.222111 − 0.976015I
b = 1.82042 + 1.89873I
−1.68718 − 2.05562I 0
u = −0.011537 − 0.987635I
a = 0.222111 + 0.976015I
b = 1.82042 − 1.89873I
−1.68718 + 2.05562I 0
u = 0.405869 + 0.898266I
a = −0.951671 + 0.982656I
b = −1.92746 − 1.43023I
9.48776 + 8.70726I 0
u = 0.405869 − 0.898266I
a = −0.951671 − 0.982656I
b = −1.92746 + 1.43023I
9.48776 − 8.70726I 0
u = −0.156458 + 0.969455I
a = 0.844811 + 0.856989I
b = 1.72553 + 0.12040I
2.01558 − 2.72630I 0
u = −0.156458 − 0.969455I
a = 0.844811 − 0.856989I
b = 1.72553 − 0.12040I
2.01558 + 2.72630I 0
u = −0.641523 + 0.803274I
a = 0.88850 + 1.25660I
b = 0.874773 − 0.310547I
10.79060 − 6.91824I 0
u = −0.641523 − 0.803274I
a = 0.88850 − 1.25660I
b = 0.874773 + 0.310547I
10.79060 + 6.91824I 0
u = 0.700876 + 0.755275I
a = 0.512080 − 1.064610I
b = 1.65141 + 0.13872I
9.90388 − 4.32846I 0
u = 0.700876 − 0.755275I
a = 0.512080 + 1.064610I
b = 1.65141 − 0.13872I
9.90388 + 4.32846I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.187098 + 1.021840I
a = −1.02875 − 1.27389I
b = −1.015880 + 0.571526I
0.72184 − 4.97808I 0
u = −0.187098 − 1.021840I
a = −1.02875 + 1.27389I
b = −1.015880 − 0.571526I
0.72184 + 4.97808I 0
u = −0.153195 + 1.028200I
a = −0.419501 − 1.118080I
b = −1.34514 + 1.55158I
−0.18814 − 3.46918I 0
u = −0.153195 − 1.028200I
a = −0.419501 + 1.118080I
b = −1.34514 − 1.55158I
−0.18814 + 3.46918I 0
u = 0.877951 + 0.372977I
a = −1.220480 + 0.674116I
b = −1.72276 + 0.15302I
12.61210 − 0.31082I 0
u = 0.877951 − 0.372977I
a = −1.220480 − 0.674116I
b = −1.72276 − 0.15302I
12.61210 + 0.31082I 0
u = −0.140661 + 0.939802I
a = 1.65903 + 0.01008I
b = 0.409488 − 0.265370I
4.19870 + 0.63853I 0
u = −0.140661 − 0.939802I
a = 1.65903 − 0.01008I
b = 0.409488 + 0.265370I
4.19870 − 0.63853I 0
u = −1.050570 + 0.009869I
a = −0.801497 − 0.505577I
b = −1.154160 − 0.034165I
5.42694 + 0.57047I 0
u = −1.050570 − 0.009869I
a = −0.801497 + 0.505577I
b = −1.154160 + 0.034165I
5.42694 − 0.57047I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.143741 + 0.924003I
a = −0.065572 − 0.820566I
b = −2.15051 + 1.91540I
4.04098 + 6.51042I 0
u = 0.143741 − 0.924003I
a = −0.065572 + 0.820566I
b = −2.15051 − 1.91540I
4.04098 − 6.51042I 0
u = 0.094362 + 1.068730I
a = −0.472202 + 0.753145I
b = −1.54429 − 0.35899I
−2.22225 + 1.94956I 0
u = 0.094362 − 1.068730I
a = −0.472202 − 0.753145I
b = −1.54429 + 0.35899I
−2.22225 − 1.94956I 0
u = 0.898465 + 0.185846I
a = −0.114352 − 1.149320I
b = −0.536254 − 0.029927I
6.90454 − 7.30067I 0
u = 0.898465 − 0.185846I
a = −0.114352 + 1.149320I
b = −0.536254 + 0.029927I
6.90454 + 7.30067I 0
u = −0.915340 + 0.038321I
a = 1.309630 + 0.375668I
b = 1.82440 + 0.12523I
5.38284 + 3.73171I 0
u = −0.915340 − 0.038321I
a = 1.309630 − 0.375668I
b = 1.82440 − 0.12523I
5.38284 − 3.73171I 0
u = 0.169611 + 1.070680I
a = 0.502450 + 0.303642I
b = 0.223502 + 0.628809I
−1.02611 + 2.08336I 0
u = 0.169611 − 1.070680I
a = 0.502450 − 0.303642I
b = 0.223502 − 0.628809I
−1.02611 − 2.08336I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.294666 + 0.864535I
a = −0.27867 + 1.68063I
b = −0.334751 − 0.362191I
2.69684 + 3.35862I 0
u = 0.294666 − 0.864535I
a = −0.27867 − 1.68063I
b = −0.334751 + 0.362191I
2.69684 − 3.35862I 0
u = −0.231556 + 0.874410I
a = −0.975800 + 0.165966I
b = 0.120729 + 0.561763I
5.44719 − 3.98531I 0
u = −0.231556 − 0.874410I
a = −0.975800 − 0.165966I
b = 0.120729 − 0.561763I
5.44719 + 3.98531I 0
u = −0.065020 + 0.897114I
a = 1.51821 − 1.25622I
b = 0.670900 − 0.018761I
4.57064 − 1.80015I 0
u = −0.065020 − 0.897114I
a = 1.51821 + 1.25622I
b = 0.670900 + 0.018761I
4.57064 + 1.80015I 0
u = 0.799749 + 0.398247I
a = 1.45231 − 0.10925I
b = 1.48892 − 0.09727I
4.27786 + 0.58183I 0
u = 0.799749 − 0.398247I
a = 1.45231 + 0.10925I
b = 1.48892 + 0.09727I
4.27786 − 0.58183I 0
u = −0.052220 + 0.881872I
a = −0.793012 + 0.905251I
b = −1.77670 + 0.20269I
6.15723 + 2.41016I 0
u = −0.052220 − 0.881872I
a = −0.793012 − 0.905251I
b = −1.77670 − 0.20269I
6.15723 − 2.41016I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.167820 + 1.114280I
a = −0.979020 + 0.073672I
b = −0.400462 − 0.248542I
−4.75498 − 1.11662I 0
u = −0.167820 − 1.114280I
a = −0.979020 − 0.073672I
b = −0.400462 + 0.248542I
−4.75498 + 1.11662I 0
u = 0.246499 + 1.106460I
a = −0.844702 + 0.839946I
b = −1.66854 + 0.12869I
7.35460 + 3.46036I 0
u = 0.246499 − 1.106460I
a = −0.844702 − 0.839946I
b = −1.66854 − 0.12869I
7.35460 − 3.46036I 0
u = −0.287523 + 1.138690I
a = 0.607268 + 0.763293I
b = 2.31245 − 0.89941I
1.18368 − 6.23016I 0
u = −0.287523 − 1.138690I
a = 0.607268 − 0.763293I
b = 2.31245 + 0.89941I
1.18368 + 6.23016I 0
u = 1.174660 + 0.059863I
a = −1.087820 − 0.304684I
b = −1.83072 − 0.04808I
4.97822 + 8.70685I 0
u = 1.174660 − 0.059863I
a = −1.087820 + 0.304684I
b = −1.83072 + 0.04808I
4.97822 − 8.70685I 0
u = 0.312269 + 1.146040I
a = 0.957741 − 0.934799I
b = 1.39662 + 0.54936I
6.89246 + 10.15580I 0
u = 0.312269 − 1.146040I
a = 0.957741 + 0.934799I
b = 1.39662 − 0.54936I
6.89246 − 10.15580I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.701160 + 0.407268I
a = −0.022196 − 0.838092I
b = 0.789725 + 0.586023I
4.29608 − 3.62129I 0
u = 0.701160 − 0.407268I
a = −0.022196 + 0.838092I
b = 0.789725 − 0.586023I
4.29608 + 3.62129I 0
u = 0.492849 + 1.098340I
a = 0.766549 − 0.970497I
b = 1.57889 + 1.06006I
10.35320 + 5.26435I 0
u = 0.492849 − 1.098340I
a = 0.766549 + 0.970497I
b = 1.57889 − 1.06006I
10.35320 − 5.26435I 0
u = 0.640906 + 1.022450I
a = 0.798021 + 0.849710I
b = 0.548648 − 0.094329I
−0.15576 + 2.61346I 0
u = 0.640906 − 1.022450I
a = 0.798021 − 0.849710I
b = 0.548648 + 0.094329I
−0.15576 − 2.61346I 0
u = 0.051379 + 1.213250I
a = −0.371063 + 0.594846I
b = −1.48959 + 0.46011I
−2.39167 + 1.84256I 0
u = 0.051379 − 1.213250I
a = −0.371063 − 0.594846I
b = −1.48959 − 0.46011I
−2.39167 − 1.84256I 0
u = −0.782871 + 0.017311I
a = −0.127947 + 1.063560I
b = 0.340612 + 0.087435I
0.94567 − 4.26277I 0
u = −0.782871 − 0.017311I
a = −0.127947 − 1.063560I
b = 0.340612 − 0.087435I
0.94567 + 4.26277I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.925571 + 0.792888I
a = −1.187970 − 0.445763I
b = −1.52685 + 0.07931I
11.07510 + 1.17585I 0
u = −0.925571 − 0.792888I
a = −1.187970 + 0.445763I
b = −1.52685 − 0.07931I
11.07510 − 1.17585I 0
u = −0.435943 + 1.140640I
a = −0.772650 + 0.612774I
b = −0.455704 − 0.068920I
−4.67657 − 1.62301I 0
u = −0.435943 − 1.140640I
a = −0.772650 − 0.612774I
b = −0.455704 + 0.068920I
−4.67657 + 1.62301I 0
u = −0.614746 + 0.440691I
a = −0.79789 − 1.20423I
b = −1.61761 + 0.37966I
3.52548 + 2.60478I 0
u = −0.614746 − 0.440691I
a = −0.79789 + 1.20423I
b = −1.61761 − 0.37966I
3.52548 − 2.60478I 0
u = 0.239799 + 1.244230I
a = −0.793245 − 0.000926I
b = −0.449204 − 0.319002I
−2.96141 + 3.64464I 0
u = 0.239799 − 1.244230I
a = −0.793245 + 0.000926I
b = −0.449204 + 0.319002I
−2.96141 − 3.64464I 0
u = −0.423563 + 1.196600I
a = 0.617832 + 0.534941I
b = 1.72496 − 0.25801I
1.74294 − 5.86036I 0
u = −0.423563 − 1.196600I
a = 0.617832 − 0.534941I
b = 1.72496 + 0.25801I
1.74294 + 5.86036I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.391316 + 0.615681I
a = −0.005074 + 0.785772I
b = 0.609220 − 0.167133I
1.08747 + 1.96716I 0
u = 0.391316 − 0.615681I
a = −0.005074 − 0.785772I
b = 0.609220 + 0.167133I
1.08747 − 1.96716I 0
u = −0.297557 + 0.663459I
a = −0.20708 − 1.54565I
b = −0.634283 + 0.732791I
2.53074 + 0.69111I 0
u = −0.297557 − 0.663459I
a = −0.20708 + 1.54565I
b = −0.634283 − 0.732791I
2.53074 − 0.69111I 0
u = 0.065883 + 1.276710I
a = 0.093199 − 0.692628I
b = 0.44202 − 2.04902I
−2.39391 + 3.45836I 0
u = 0.065883 − 1.276710I
a = 0.093199 + 0.692628I
b = 0.44202 + 2.04902I
−2.39391 − 3.45836I 0
u = 1.155320 + 0.568138I
a = 0.688006 − 0.521058I
b = 1.349150 + 0.399091I
1.66994 − 0.75450I 0
u = 1.155320 − 0.568138I
a = 0.688006 + 0.521058I
b = 1.349150 − 0.399091I
1.66994 + 0.75450I 0
u = −0.183980 + 1.289640I
a = −0.269993 − 0.750699I
b = −1.10677 − 1.35496I
5.00104 − 8.35199I 0
u = −0.183980 − 1.289640I
a = −0.269993 + 0.750699I
b = −1.10677 + 1.35496I
5.00104 + 8.35199I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.413970 + 1.279440I
a = 0.747270 − 0.382358I
b = 0.468775 − 0.274005I
−3.05520 − 8.65793I 0
u = −0.413970 − 1.279440I
a = 0.747270 + 0.382358I
b = 0.468775 + 0.274005I
−3.05520 + 8.65793I 0
u = −1.346110 + 0.008859I
a = 0.988115 + 0.364296I
b = 1.80033 + 0.00411I
11.3681 + 12.5760I 0
u = −1.346110 − 0.008859I
a = 0.988115 − 0.364296I
b = 1.80033 − 0.00411I
11.3681 − 12.5760I 0
u = 0.242468 + 0.598436I
a = 0.01998 − 2.17788I
b = 0.660323 + 0.657001I
9.09793 − 1.29365I 0
u = 0.242468 − 0.598436I
a = 0.01998 + 2.17788I
b = 0.660323 − 0.657001I
9.09793 + 1.29365I 0
u = 0.523413 + 1.256520I
a = −0.783283 − 0.549300I
b = −0.454010 − 0.250245I
3.54604 + 12.51540I 0
u = 0.523413 − 1.256520I
a = −0.783283 + 0.549300I
b = −0.454010 + 0.250245I
3.54604 − 12.51540I 0
u = 0.205210 + 1.348560I
a = 0.219356 − 0.034860I
b = −0.054733 − 0.468255I
−4.29344 + 3.91195I 0
u = 0.205210 − 1.348560I
a = 0.219356 + 0.034860I
b = −0.054733 + 0.468255I
−4.29344 − 3.91195I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.585084 + 1.241720I
a = −0.447507 + 0.654590I
b = −1.20701 − 1.36254I
0.48517 + 4.24584I 0
u = 0.585084 − 1.241720I
a = −0.447507 − 0.654590I
b = −1.20701 + 1.36254I
0.48517 − 4.24584I 0
u = −0.528752 + 0.319678I
a = −0.711874 + 0.282100I
b = −0.322250 + 1.315670I
7.08929 + 1.18184I 0
u = −0.528752 − 0.319678I
a = −0.711874 − 0.282100I
b = −0.322250 − 1.315670I
7.08929 − 1.18184I 0
u = 0.613558
a = 1.26487
b = 0.717996
1.26191 0
u = 0.584606 + 0.179952I
a = 0.511392 + 0.689265I
b = 0.073512 + 0.407951I
1.44086 + 0.82035I 0
u = 0.584606 − 0.179952I
a = 0.511392 − 0.689265I
b = 0.073512 − 0.407951I
1.44086 − 0.82035I 0
u = −0.483224 + 1.305820I
a = −0.661511 − 0.763527I
b = −1.89258 + 1.10493I
1.42620 − 8.79154I 0
u = −0.483224 − 1.305820I
a = −0.661511 + 0.763527I
b = −1.89258 − 1.10493I
1.42620 + 8.79154I 0
u = −0.411620 + 1.332090I
a = 0.656600 + 0.594023I
b = 2.01565 − 0.86780I
0.87206 − 6.09624I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.411620 − 1.332090I
a = 0.656600 − 0.594023I
b = 2.01565 + 0.86780I
0.87206 + 6.09624I 0
u = 0.365065 + 1.358440I
a = 0.541423 + 0.621107I
b = 0.503999 + 0.062949I
−0.568796 + 0.310464I 0
u = 0.365065 − 1.358440I
a = 0.541423 − 0.621107I
b = 0.503999 − 0.062949I
−0.568796 − 0.310464I 0
u = −0.003719 + 0.586872I
a = 0.219262 + 1.358200I
b = 1.071410 + 0.136796I
1.11058 + 2.05304I 0
u = −0.003719 − 0.586872I
a = 0.219262 − 1.358200I
b = 1.071410 − 0.136796I
1.11058 − 2.05304I 0
u = −0.63387 + 1.27601I
a = 0.575994 + 0.502782I
b = 1.73639 − 1.32125I
−2.69508 − 7.22734I 0
u = −0.63387 − 1.27601I
a = 0.575994 − 0.502782I
b = 1.73639 + 1.32125I
−2.69508 + 7.22734I 0
u = −0.49525 + 1.33974I
a = −0.299030 + 0.620889I
b = 0.145215 + 0.065094I
1.16063 − 4.89042I 0
u = −0.49525 − 1.33974I
a = −0.299030 − 0.620889I
b = 0.145215 − 0.065094I
1.16063 + 4.89042I 0
u = 0.31643 + 1.40101I
a = 0.146091 + 0.371104I
b = −0.173872 − 0.144118I
−4.32016 + 3.69659I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31643 − 1.40101I
a = 0.146091 − 0.371104I
b = −0.173872 + 0.144118I
−4.32016 − 3.69659I 0
u = 0.67157 + 1.27024I
a = −0.658319 + 0.390212I
b = −2.02814 − 1.24383I
1.95043 + 9.81542I 0
u = 0.67157 − 1.27024I
a = −0.658319 − 0.390212I
b = −2.02814 + 1.24383I
1.95043 − 9.81542I 0
u = 0.55343 + 1.38472I
a = 0.699311 − 0.664007I
b = 1.98692 + 0.98624I
0.4946 + 14.7294I 0
u = 0.55343 − 1.38472I
a = 0.699311 + 0.664007I
b = 1.98692 − 0.98624I
0.4946 − 14.7294I 0
u = −1.40490 + 0.50158I
a = −0.802748 − 0.433829I
b = −1.52071 + 0.17854I
6.86497 + 1.93649I 0
u = −1.40490 − 0.50158I
a = −0.802748 + 0.433829I
b = −1.52071 − 0.17854I
6.86497 − 1.93649I 0
u = −0.348939 + 0.352065I
a = 0.563322 − 0.410908I
b = −0.515348 + 0.471545I
−1.07403 + 1.07754I −3.76642 − 2.48659I
u = −0.348939 − 0.352065I
a = 0.563322 + 0.410908I
b = −0.515348 − 0.471545I
−1.07403 − 1.07754I −3.76642 + 2.48659I
u = 0.62757 + 1.37043I
a = −0.709923 + 0.573179I
b = −1.80294 − 0.83151I
−1.75463 + 7.73156I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.62757 − 1.37043I
a = −0.709923 − 0.573179I
b = −1.80294 + 0.83151I
−1.75463 − 7.73156I 0
u = −0.62231 + 1.41409I
a = −0.749592 − 0.616048I
b = −2.00179 + 0.89372I
6.9671 − 19.3237I 0
u = −0.62231 − 1.41409I
a = −0.749592 + 0.616048I
b = −2.00179 − 0.89372I
6.9671 + 19.3237I 0
u = −0.74089 + 1.40889I
a = 0.757317 + 0.584635I
b = 1.72516 − 0.69190I
3.54891 − 9.65312I 0
u = −0.74089 − 1.40889I
a = 0.757317 − 0.584635I
b = 1.72516 + 0.69190I
3.54891 + 9.65312I 0
u = −0.27253 + 1.58592I
a = 0.087008 + 0.551447I
b = 0.361102 − 0.065629I
−0.54349 − 3.59963I 0
u = −0.27253 − 1.58592I
a = 0.087008 − 0.551447I
b = 0.361102 + 0.065629I
−0.54349 + 3.59963I 0
u = −0.139327 + 0.358900I
a = 0.76393 + 3.39639I
b = 0.374926 + 0.446284I
2.34558 + 3.11822I 10.49138 − 5.66384I
u = −0.139327 − 0.358900I
a = 0.76393 − 3.39639I
b = 0.374926 − 0.446284I
2.34558 − 3.11822I 10.49138 + 5.66384I
u = 0.18937 + 1.61837I
a = 0.113274 − 0.449031I
b = 1.10614 + 1.72672I
3.79969 − 2.71090I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.18937 − 1.61837I
a = 0.113274 + 0.449031I
b = 1.10614 − 1.72672I
3.79969 + 2.71090I 0
u = 0.263954 + 0.206640I
a = −2.50262 + 3.57723I
b = −0.607680 + 0.445254I
9.70279 − 7.40590I 8.34000 + 2.94862I
u = 0.263954 − 0.206640I
a = −2.50262 − 3.57723I
b = −0.607680 − 0.445254I
9.70279 + 7.40590I 8.34000 − 2.94862I
u = −0.29643 + 1.85093I
a = −0.138716 − 0.481053I
b = −1.01693 + 1.32163I
0.119130 − 0.579594I 0
u = −0.29643 − 1.85093I
a = −0.138716 + 0.481053I
b = −1.01693 − 1.32163I
0.119130 + 0.579594I 0
u = 0.07527 + 1.98129I
a = 0.110829 − 0.531918I
b = 0.682499 + 0.931502I
5.02419 + 4.09928I 0
u = 0.07527 − 1.98129I
a = 0.110829 + 0.531918I
b = 0.682499 − 0.931502I
5.02419 − 4.09928I 0
u = 2.24887 + 0.78714I
a = 0.316485 − 0.153968I
b = 2.87562 + 1.10900I
4.20472 − 2.95610I 0
u = 2.24887 − 0.78714I
a = 0.316485 + 0.153968I
b = 2.87562 − 1.10900I
4.20472 + 2.95610I 0
u = −2.49965
a = −0.358485
b = −3.12737
0.200357 0
18
II.
I
u
2
= h8.40 × 10
34
u
34
− 2.37 × 10
35
u
33
+ · · · + 6.03 × 10
35
b − 5.44 × 10
34
, 8.27 ×
10
35
u
34
−1.98×10
36
u
33
+· · ·+6.03×10
35
a+1.44×10
36
, u
35
−2u
34
+· · ·+2u+1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
10
=
u
u
3
+ u
a
12
=
−1.37229u
34
+ 3.28901u
33
+ ··· − 0.292527u − 2.39021
−0.139346u
34
+ 0.392614u
33
+ ··· + 2.89375u + 0.0901987
a
8
=
0.721576u
34
− 1.37561u
33
+ ··· + 4.94258u + 3.74218
0.452170u
34
− 0.676097u
33
+ ··· − 0.413976u + 0.981183
a
7
=
0.269406u
34
− 0.699517u
33
+ ··· + 5.35656u + 2.76100
0.452170u
34
− 0.676097u
33
+ ··· − 0.413976u + 0.981183
a
2
=
−0.214303u
34
+ 0.420139u
33
+ ··· − 1.46325u + 2.10936
−0.0801841u
34
+ 0.124464u
33
+ ··· − 1.37260u + 0.645466
a
6
=
0.625754u
34
− 1.37039u
33
+ ··· + 5.87743u + 3.36004
0.689828u
34
− 1.15584u
33
+ ··· − 0.333111u + 1.53840
a
11
=
1.42285u
34
− 2.56716u
33
+ ··· + 11.1687u + 0.473402
0.408484u
34
− 0.931290u
33
+ ··· + 2.30772u + 1.10902
a
5
=
−1.20124u
34
+ 1.57525u
33
+ ··· + 4.28666u − 6.48527
0.0933680u
34
− 0.360185u
33
+ ··· + 2.66323u − 1.18203
a
1
=
1.30933u
34
− 1.76370u
33
+ ··· − 5.93293u + 4.02311
−0.00433909u
34
+ 0.227435u
33
+ ··· − 1.14457u + 0.243304
(ii) Obstruction class = 1
(iii) Cusp Shapes = −0.270917u
34
+ 2.22217u
33
+ ··· − 2.12074u + 10.2724
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
u
35
+ 2u
34
+ ··· − 28u
2
− 1
c
2
u
35
+ u
32
+ ··· − 3u + 1
c
3
u
35
− 2u
34
+ ··· + 2u + 1
c
4
u
35
− 2u
34
+ ··· − 48u + 16
c
5
u
35
− 2u
34
+ ··· + 28u
2
+ 1
c
6
u
35
+ 3u
33
+ ··· + 14u + 1
c
7
u
35
+ u
34
+ ··· − 16u
2
+ 1
c
8
u
35
− 5u
34
+ ··· − 8u + 1
c
9
u
35
+ 2u
34
+ ··· + 2u − 1
c
10
u
35
+ 4u
34
+ ··· − 8u − 1
c
11
u
35
+ 5u
34
+ ··· − 8u − 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
12
y
35
+ 38y
34
+ ··· − 56y −1
c
2
y
35
+ 36y
33
+ ··· + 101y −1
c
3
, c
9
y
35
+ 20y
34
+ ··· + 6y −1
c
4
y
35
+ 4y
34
+ ··· − 2304y −256
c
6
y
35
+ 6y
34
+ ··· + 24y −1
c
7
y
35
+ 15y
34
+ ··· + 32y −1
c
8
, c
11
y
35
− 15y
34
+ ··· + 30y −1
c
10
y
35
− 14y
34
+ ··· + 12y −1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.148003 + 1.004390I
a = −0.75689 + 1.24026I
b = −1.29858 − 0.87820I
0.85748 + 4.39942I 5.27829 − 2.07733I
u = 0.148003 − 1.004390I
a = −0.75689 − 1.24026I
b = −1.29858 + 0.87820I
0.85748 − 4.39942I 5.27829 + 2.07733I
u = −0.303221 + 0.886290I
a = 0.94491 + 1.23519I
b = 1.32907 − 1.29342I
8.73847 − 8.43169I 2.93507 + 6.12768I
u = −0.303221 − 0.886290I
a = 0.94491 − 1.23519I
b = 1.32907 + 1.29342I
8.73847 + 8.43169I 2.93507 − 6.12768I
u = −0.005324 + 0.878041I
a = 1.67072 + 0.80863I
b = 0.611455 + 0.217078I
4.59920 + 1.36724I 11.13802 + 3.10936I
u = −0.005324 − 0.878041I
a = 1.67072 − 0.80863I
b = 0.611455 − 0.217078I
4.59920 − 1.36724I 11.13802 − 3.10936I
u = −0.338383 + 1.081360I
a = −0.966522 + 0.488367I
b = −0.496408 − 0.044288I
−4.35103 − 1.49139I 11.02078 + 2.56737I
u = −0.338383 − 1.081360I
a = −0.966522 − 0.488367I
b = −0.496408 + 0.044288I
−4.35103 + 1.49139I 11.02078 − 2.56737I
u = 0.291324 + 1.124290I
a = −0.290551 + 0.421121I
b = −2.09047 + 1.20229I
3.61617 + 7.46467I 4.21271 − 8.74836I
u = 0.291324 − 1.124290I
a = −0.290551 − 0.421121I
b = −2.09047 − 1.20229I
3.61617 − 7.46467I 4.21271 + 8.74836I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.255613 + 1.196070I
a = 0.339140 − 0.805322I
b = 0.092821 + 0.890957I
3.25657 − 2.03781I 6.93247 + 1.13617I
u = −0.255613 − 1.196070I
a = 0.339140 + 0.805322I
b = 0.092821 − 0.890957I
3.25657 + 2.03781I 6.93247 − 1.13617I
u = −0.104056 + 1.228420I
a = 0.079941 + 0.566828I
b = 0.86197 + 2.07781I
−2.88617 − 3.22155I −7.56200 + 3.69125I
u = −0.104056 − 1.228420I
a = 0.079941 − 0.566828I
b = 0.86197 − 2.07781I
−2.88617 + 3.22155I −7.56200 − 3.69125I
u = 0.581580 + 1.131140I
a = 0.591143 + 0.662292I
b = 0.415068 − 0.372517I
−1.03732 + 2.41221I −2.23754 − 2.30105I
u = 0.581580 − 1.131140I
a = 0.591143 − 0.662292I
b = 0.415068 + 0.372517I
−1.03732 − 2.41221I −2.23754 + 2.30105I
u = 0.523852 + 1.257030I
a = −0.678662 + 0.657200I
b = −1.75948 − 1.07982I
−0.71919 + 6.83880I 2.00000 − 5.93106I
u = 0.523852 − 1.257030I
a = −0.678662 − 0.657200I
b = −1.75948 + 1.07982I
−0.71919 − 6.83880I 2.00000 + 5.93106I
u = −0.23742 + 1.42449I
a = −0.008709 + 0.407983I
b = 0.211134 + 0.239244I
−3.83992 − 3.71939I 11.25915 + 0.I
u = −0.23742 − 1.42449I
a = −0.008709 − 0.407983I
b = 0.211134 − 0.239244I
−3.83992 + 3.71939I 11.25915 + 0.I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.34115 + 1.47649I
a = 0.036329 + 0.319624I
b = −0.300089 − 0.780469I
−1.57293 + 3.49417I 0
u = 0.34115 − 1.47649I
a = 0.036329 − 0.319624I
b = −0.300089 + 0.780469I
−1.57293 − 3.49417I 0
u = 0.298932 + 0.378191I
a = 1.21759 − 1.92403I
b = 0.899581 − 0.238874I
1.86755 − 2.21323I 7.82166 + 1.60507I
u = 0.298932 − 0.378191I
a = 1.21759 + 1.92403I
b = 0.899581 + 0.238874I
1.86755 + 2.21323I 7.82166 − 1.60507I
u = −0.397223 + 0.231309I
a = −0.82997 − 1.63003I
b = −1.64476 + 0.92846I
7.38348 + 2.40004I 12.85885 − 3.53595I
u = −0.397223 − 0.231309I
a = −0.82997 + 1.63003I
b = −1.64476 − 0.92846I
7.38348 − 2.40004I 12.85885 + 3.53595I
u = −0.72902 + 1.41948I
a = 0.633505 + 0.450188I
b = 1.90756 − 0.89343I
1.34373 − 7.81175I 0
u = −0.72902 − 1.41948I
a = 0.633505 − 0.450188I
b = 1.90756 + 0.89343I
1.34373 + 7.81175I 0
u = 0.344815 + 0.186697I
a = 1.65004 − 2.12266I
b = 1.42141 + 0.44959I
3.47901 − 1.82814I 9.04456 − 0.49479I
u = 0.344815 − 0.186697I
a = 1.65004 + 2.12266I
b = 1.42141 − 0.44959I
3.47901 + 1.82814I 9.04456 + 0.49479I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.304839 + 0.148400I
a = −2.69539 − 2.93324I
b = −1.106190 + 0.314015I
9.52500 + 1.85705I 11.27579 − 3.57757I
u = −0.304839 − 0.148400I
a = −2.69539 + 2.93324I
b = −1.106190 − 0.314015I
9.52500 − 1.85705I 11.27579 + 3.57757I
u = −1.96080
a = −0.442320
b = −2.57571
0.159689 0
u = 2.12584 + 1.15390I
a = 0.284547 − 0.184165I
b = 2.73378 + 1.49880I
4.20365 − 2.92004I 0
u = 2.12584 − 1.15390I
a = 0.284547 + 0.184165I
b = 2.73378 − 1.49880I
4.20365 + 2.92004I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
12
(u
35
+ 2u
34
+ ··· − 28u
2
− 1)(u
140
+ u
139
+ ··· + 111u − 19)
c
2
(u
35
+ u
32
+ ··· − 3u + 1)(u
140
+ u
139
+ ··· − 47u
2
+ 1)
c
3
(u
35
− 2u
34
+ ··· + 2u + 1)(u
140
− u
139
+ ··· + 332003u − 96293)
c
4
(u
35
− 2u
34
+ ··· − 48u + 16)
· (u
140
− u
139
+ ··· + 119685000u − 24250000)
c
5
(u
35
− 2u
34
+ ··· + 28u
2
+ 1)(u
140
+ u
139
+ ··· + 111u − 19)
c
6
(u
35
+ 3u
33
+ ··· + 14u + 1)(u
140
− 7u
139
+ ··· − 1123u − 3431)
c
7
(u
35
+ u
34
+ ··· − 16u
2
+ 1)(u
140
− 2u
139
+ ··· − 1204155u + 99181)
c
8
(u
35
− 5u
34
+ ··· − 8u + 1)(u
140
− 40u
138
+ ··· − 17417u + 6031)
c
9
(u
35
+ 2u
34
+ ··· + 2u − 1)(u
140
− u
139
+ ··· + 332003u − 96293)
c
10
(u
35
+ 4u
34
+ ··· − 8u − 1)
· (u
140
+ 3u
139
+ ··· + 206177531u − 17678239)
c
11
(u
35
+ 5u
34
+ ··· − 8u − 1)(u
140
− 40u
138
+ ··· − 17417u + 6031)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
12
(y
35
+ 38y
34
+ ··· − 56y −1)(y
140
+ 141y
139
+ ··· − 5101y + 361)
c
2
(y
35
+ 36y
33
+ ··· + 101y −1)(y
140
+ 3y
139
+ ··· − 94y + 1)
c
3
, c
9
(y
35
+ 20y
34
+ ··· + 6y −1)
· (y
140
+ 87y
139
+ ··· + 397864600249y + 9272341849)
c
4
(y
35
+ 4y
34
+ ··· − 2304y −256)
· (y
140
+ 59y
139
+ ··· + 5616721975000000y + 588062500000000)
c
6
(y
35
+ 6y
34
+ ··· + 24y −1)
· (y
140
+ 13y
139
+ ··· + 1031428699y + 11771761)
c
7
(y
35
+ 15y
34
+ ··· + 32y −1)
· (y
140
− 10y
139
+ ··· − 3523667595645y + 9836870761)
c
8
, c
11
(y
35
− 15y
34
+ ··· + 30y −1)
· (y
140
− 80y
139
+ ··· − 39061407y + 36372961)
c
10
(y
35
− 14y
34
+ ··· + 12y −1)
· (y
140
+ 33y
139
+ ··· + 7961914991781171y + 312520134141121)
27
