12a
0289
(K12a
0289
)
A knot diagram
1
Linearized knot diagam
3 6 8 9 12 2 11 4 1 5 7 10
Solving Sequence
1,9 5,10
11 4 8 3 7 12 6 2
c
9
c
10
c
4
c
8
c
3
c
7
c
12
c
5
c
2
c
1
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.23054 × 10
549
u
129
+ 7.13939 × 10
549
u
128
+ ··· + 1.47559 × 10
551
b − 4.80171 × 10
551
,
− 2.58879 × 10
552
u
129
− 1.24968 × 10
553
u
128
+ ··· + 4.53005 × 10
553
a − 4.77775 × 10
555
,
u
130
+ 5u
129
+ ··· + 9370u + 307i
I
u
2
= h9059013u
33
− 52630678u
32
+ ··· + 321857b − 3891846,
− 9774026u
33
+ 58589548u
32
+ ··· + 321857a + 3891173, u
34
− 6u
33
+ ··· − 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 164 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
= h1.23 × 10
549
u
129
+ 7.14 × 10
549
u
128
+ · · · + 1.48 × 10
551
b − 4.80 ×
10
551
, −2.59 × 10
552
u
129
− 1.25 × 10
553
u
128
+ · · · + 4.53 × 10
553
a − 4.78 ×
10
555
, u
130
+ 5u
129
+ · · · + 9370u + 307i
(i) Arc colorings
a
1
=
0
u
a
9
=
1
0
a
5
=
0.0571471u
129
+ 0.275864u
128
+ ··· + 2416.99u + 105.468
−0.00833933u
129
− 0.0483834u
128
+ ··· + 10.4028u + 3.25410
a
10
=
1
u
2
a
11
=
0.0424528u
129
+ 0.203895u
128
+ ··· + 1460.64u + 58.0744
−0.0287762u
129
− 0.130522u
128
+ ··· + 107.795u + 4.49195
a
4
=
0.0488078u
129
+ 0.227480u
128
+ ··· + 2427.40u + 108.722
−0.00833933u
129
− 0.0483834u
128
+ ··· + 10.4028u + 3.25410
a
8
=
−0.0257256u
129
− 0.125360u
128
+ ··· − 1959.45u − 75.4831
0.0164267u
129
+ 0.0571151u
128
+ ··· − 359.900u − 13.1760
a
3
=
0.0340470u
129
+ 0.157222u
128
+ ··· + 2386.50u + 110.752
0.0197080u
129
+ 0.138612u
128
+ ··· + 995.383u + 36.2377
a
7
=
−0.0342572u
129
− 0.172968u
128
+ ··· − 1101.16u − 43.1706
0.000292252u
129
− 0.0153436u
128
+ ··· − 265.849u − 9.05471
a
12
=
u
u
3
+ u
a
6
=
0.0548184u
129
+ 0.255512u
128
+ ··· + 2336.78u + 103.311
−0.000327503u
129
− 0.0231974u
128
+ ··· + 12.5010u + 3.77093
a
2
=
−0.00945379u
129
− 0.0396822u
128
+ ··· + 1855.44u + 87.3425
−0.00862843u
129
− 0.0542862u
128
+ ··· + 355.882u + 14.9677
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.165409u
129
− 0.885526u
128
+ ··· − 1219.93u − 34.2034
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 54u
129
+ ··· − 5575u + 7921
c
2
, c
6
u
130
+ 27u
128
+ ··· − 71u − 89
c
3
, c
4
, c
8
u
130
− u
129
+ ··· + 4476u − 653
c
5
u
130
− u
129
+ ··· − 5193796u − 5692175
c
7
, c
11
u
130
+ 3u
129
+ ··· − 119574u − 21673
c
9
, c
12
u
130
− 5u
129
+ ··· − 9370u + 307
c
10
u
130
+ u
129
+ ··· − 263540u − 65057
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
+ 62y
129
+ ··· − 19593843639y + 62742241
c
2
, c
6
y
130
+ 54y
129
+ ··· − 5575y + 7921
c
3
, c
4
, c
8
y
130
− 123y
129
+ ··· + 2757736y + 426409
c
5
y
130
+ 49y
129
+ ··· + 915788440159684y + 32400856230625
c
7
, c
11
y
130
+ 83y
129
+ ··· + 11741041028y + 469718929
c
9
, c
12
y
130
+ 75y
129
+ ··· − 8845710y + 94249
c
10
y
130
+ 13y
129
+ ··· + 211632593170y + 4232413249
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.998922 + 0.037072I
a = −0.251102 − 0.217828I
b = 0.310908 + 0.713630I
2.66752 − 8.25962I 0
u = −0.998922 − 0.037072I
a = −0.251102 + 0.217828I
b = 0.310908 − 0.713630I
2.66752 + 8.25962I 0
u = 0.488004 + 0.876844I
a = 0.567135 − 1.192750I
b = −0.231263 + 0.957518I
1.80629 + 0.07312I 0
u = 0.488004 − 0.876844I
a = 0.567135 + 1.192750I
b = −0.231263 − 0.957518I
1.80629 − 0.07312I 0
u = −0.373524 + 0.931545I
a = −0.28618 + 1.53825I
b = 1.348360 − 0.231599I
−2.03553 + 1.90796I 0
u = −0.373524 − 0.931545I
a = −0.28618 − 1.53825I
b = 1.348360 + 0.231599I
−2.03553 − 1.90796I 0
u = 0.180247 + 0.989091I
a = 1.31579 − 1.95264I
b = 1.42664 + 0.15993I
0.14796 − 7.11169I 0
u = 0.180247 − 0.989091I
a = 1.31579 + 1.95264I
b = 1.42664 − 0.15993I
0.14796 + 7.11169I 0
u = −0.420327 + 0.915445I
a = 0.14191 − 1.81983I
b = −1.49832 + 0.32981I
−5.54583 + 6.41365I 0
u = −0.420327 − 0.915445I
a = 0.14191 + 1.81983I
b = −1.49832 − 0.32981I
−5.54583 − 6.41365I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.626447 + 0.760676I
a = 1.10415 + 1.42302I
b = 0.965108 + 0.018640I
1.42300 + 4.98117I 0
u = −0.626447 − 0.760676I
a = 1.10415 − 1.42302I
b = 0.965108 − 0.018640I
1.42300 − 4.98117I 0
u = 0.080531 + 0.979351I
a = 0.12418 + 2.65907I
b = −1.278130 − 0.144203I
3.58342 − 0.34128I 0
u = 0.080531 − 0.979351I
a = 0.12418 − 2.65907I
b = −1.278130 + 0.144203I
3.58342 + 0.34128I 0
u = 0.126615 + 1.026830I
a = −0.091407 − 1.342550I
b = −0.022685 + 0.760118I
2.31765 − 1.53047I 0
u = 0.126615 − 1.026830I
a = −0.091407 + 1.342550I
b = −0.022685 − 0.760118I
2.31765 + 1.53047I 0
u = 0.270875 + 1.001640I
a = −1.31017 − 1.36501I
b = 1.39537 + 0.33356I
−4.33445 − 2.90226I 0
u = 0.270875 − 1.001640I
a = −1.31017 + 1.36501I
b = 1.39537 − 0.33356I
−4.33445 + 2.90226I 0
u = 0.466298 + 0.929511I
a = −0.205508 + 1.271420I
b = −0.211418 − 0.257274I
−1.41170 − 2.59593I 0
u = 0.466298 − 0.929511I
a = −0.205508 − 1.271420I
b = −0.211418 + 0.257274I
−1.41170 + 2.59593I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.800134 + 0.522066I
a = −0.026229 − 0.197610I
b = −0.483920 + 0.094949I
−2.63126 − 2.06050I 0
u = 0.800134 − 0.522066I
a = −0.026229 + 0.197610I
b = −0.483920 − 0.094949I
−2.63126 + 2.06050I 0
u = −0.339304 + 0.884538I
a = 0.83930 − 1.61458I
b = −1.43241 + 0.06380I
−5.64729 − 2.34449I 0
u = −0.339304 − 0.884538I
a = 0.83930 + 1.61458I
b = −1.43241 − 0.06380I
−5.64729 + 2.34449I 0
u = 0.854041 + 0.406562I
a = 0.073292 + 0.125300I
b = −1.339470 + 0.246472I
−3.53513 − 0.33068I 0
u = 0.854041 − 0.406562I
a = 0.073292 − 0.125300I
b = −1.339470 − 0.246472I
−3.53513 + 0.33068I 0
u = 0.959676 + 0.497536I
a = 0.651009 + 0.038021I
b = 1.46933 − 0.03010I
−9.03057 − 1.52462I 0
u = 0.959676 − 0.497536I
a = 0.651009 − 0.038021I
b = 1.46933 + 0.03010I
−9.03057 + 1.52462I 0
u = 0.665755 + 0.625383I
a = −0.208885 − 0.017185I
b = 1.45889 − 0.31567I
−3.84118 + 4.56251I 0
u = 0.665755 − 0.625383I
a = −0.208885 + 0.017185I
b = 1.45889 + 0.31567I
−3.84118 − 4.56251I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.373694 + 1.024360I
a = −0.875919 − 0.950000I
b = 0.556664 + 0.865976I
1.59255 + 0.75713I 0
u = −0.373694 − 1.024360I
a = −0.875919 + 0.950000I
b = 0.556664 − 0.865976I
1.59255 − 0.75713I 0
u = −0.508519 + 0.746264I
a = 0.231386 − 0.933285I
b = −1.52146 − 0.13241I
−6.06120 − 2.63244I 0
u = −0.508519 − 0.746264I
a = 0.231386 + 0.933285I
b = −1.52146 + 0.13241I
−6.06120 + 2.63244I 0
u = 0.569803 + 0.943381I
a = −0.31490 − 1.94072I
b = 1.36946 + 0.47259I
−2.90017 − 9.35280I 0
u = 0.569803 − 0.943381I
a = −0.31490 + 1.94072I
b = 1.36946 − 0.47259I
−2.90017 + 9.35280I 0
u = −0.888534 + 0.104450I
a = 0.305653 − 0.332211I
b = −0.301474 + 0.590297I
4.08616 + 2.89825I 0
u = −0.888534 − 0.104450I
a = 0.305653 + 0.332211I
b = −0.301474 − 0.590297I
4.08616 − 2.89825I 0
u = −0.375206 + 0.778037I
a = 1.44735 + 0.67352I
b = −0.584094 − 0.076342I
4.20952 + 1.45294I 0
u = −0.375206 − 0.778037I
a = 1.44735 − 0.67352I
b = −0.584094 + 0.076342I
4.20952 − 1.45294I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.13859
a = −0.382090
b = −1.34469
−5.92828 0
u = 0.177435 + 0.841260I
a = −1.08968 − 3.21917I
b = 1.243330 − 0.036580I
−0.36112 + 5.47662I 0
u = 0.177435 − 0.841260I
a = −1.08968 + 3.21917I
b = 1.243330 + 0.036580I
−0.36112 − 5.47662I 0
u = 0.073243 + 1.145020I
a = −0.064810 + 1.040970I
b = 0.741472 − 0.620426I
2.38171 + 1.93938I 0
u = 0.073243 − 1.145020I
a = −0.064810 − 1.040970I
b = 0.741472 + 0.620426I
2.38171 − 1.93938I 0
u = −0.402200 + 1.075800I
a = 0.29477 + 1.72542I
b = 0.532236 − 0.605931I
1.14366 + 5.69470I 0
u = −0.402200 − 1.075800I
a = 0.29477 − 1.72542I
b = 0.532236 + 0.605931I
1.14366 − 5.69470I 0
u = −0.175516 + 0.828179I
a = 0.107297 − 0.641034I
b = −1.67962 + 0.07799I
−6.20598 + 4.77746I 0
u = −0.175516 − 0.828179I
a = 0.107297 + 0.641034I
b = −1.67962 − 0.07799I
−6.20598 − 4.77746I 0
u = −0.649857 + 0.531834I
a = 0.037890 + 0.818078I
b = 1.45084 − 0.02348I
−3.07654 + 2.06245I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.649857 − 0.531834I
a = 0.037890 − 0.818078I
b = 1.45084 + 0.02348I
−3.07654 − 2.06245I 0
u = 0.124876 + 0.824942I
a = −0.272193 + 0.388150I
b = 1.65706 − 0.19738I
−5.25781 + 1.11343I 0
u = 0.124876 − 0.824942I
a = −0.272193 − 0.388150I
b = 1.65706 + 0.19738I
−5.25781 − 1.11343I 0
u = −0.296471 + 1.137450I
a = 0.627672 + 0.998809I
b = −0.997811 − 0.684319I
6.29677 + 2.12622I 0
u = −0.296471 − 1.137450I
a = 0.627672 − 0.998809I
b = −0.997811 + 0.684319I
6.29677 − 2.12622I 0
u = 0.250716 + 1.152370I
a = 0.169071 − 1.047150I
b = −0.577900 + 0.798884I
2.48164 − 2.89167I 0
u = 0.250716 − 1.152370I
a = 0.169071 + 1.047150I
b = −0.577900 − 0.798884I
2.48164 + 2.89167I 0
u = −1.189050 + 0.092231I
a = 0.417018 − 0.276173I
b = 1.40764 + 0.23169I
−1.35351 − 5.93265I 0
u = −1.189050 − 0.092231I
a = 0.417018 + 0.276173I
b = 1.40764 − 0.23169I
−1.35351 + 5.93265I 0
u = 1.204620 + 0.097864I
a = 0.0048488 − 0.0652224I
b = −0.127038 + 0.418523I
−1.42985 + 2.19312I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.204620 − 0.097864I
a = 0.0048488 + 0.0652224I
b = −0.127038 − 0.418523I
−1.42985 − 2.19312I 0
u = −0.838725 + 0.872112I
a = −0.939997 − 1.034170I
b = −1.237270 − 0.029411I
1.94959 + 1.36646I 0
u = −0.838725 − 0.872112I
a = −0.939997 + 1.034170I
b = −1.237270 + 0.029411I
1.94959 − 1.36646I 0
u = −0.103807 + 1.208050I
a = 0.69493 − 1.59950I
b = −0.004630 + 0.487245I
7.52469 + 1.96519I 0
u = −0.103807 − 1.208050I
a = 0.69493 + 1.59950I
b = −0.004630 − 0.487245I
7.52469 − 1.96519I 0
u = 0.465870 + 0.632849I
a = −0.97228 + 1.43670I
b = 0.121008 − 0.908152I
1.12369 − 4.14778I 0
u = 0.465870 − 0.632849I
a = −0.97228 − 1.43670I
b = 0.121008 + 0.908152I
1.12369 + 4.14778I 0
u = −0.377512 + 1.162870I
a = −0.635027 − 0.844262I
b = 1.000060 + 0.834032I
4.76801 + 7.43846I 0
u = −0.377512 − 1.162870I
a = −0.635027 + 0.844262I
b = 1.000060 − 0.834032I
4.76801 − 7.43846I 0
u = 0.100940 + 1.222380I
a = −1.092810 + 0.794031I
b = −0.248154 − 0.378291I
5.65589 − 5.02669I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.100940 − 1.222380I
a = −1.092810 − 0.794031I
b = −0.248154 + 0.378291I
5.65589 + 5.02669I 0
u = −0.093094 + 0.750985I
a = 0.53816 + 1.96196I
b = 0.120366 − 0.954241I
0.08656 + 1.66551I 0
u = −0.093094 − 0.750985I
a = 0.53816 − 1.96196I
b = 0.120366 + 0.954241I
0.08656 − 1.66551I 0
u = 0.609691 + 1.092430I
a = 0.22960 + 1.48894I
b = −1.268350 − 0.447561I
−1.50629 − 5.04729I 0
u = 0.609691 − 1.092430I
a = 0.22960 − 1.48894I
b = −1.268350 + 0.447561I
−1.50629 + 5.04729I 0
u = −1.238280 + 0.254731I
a = −0.432407 + 0.184066I
b = −1.42824 − 0.28270I
−2.89370 − 11.89970I 0
u = −1.238280 − 0.254731I
a = −0.432407 − 0.184066I
b = −1.42824 + 0.28270I
−2.89370 + 11.89970I 0
u = −0.684715 + 0.266128I
a = −0.959781 + 0.292036I
b = −1.52276 − 0.16188I
−8.17847 − 4.45565I 0
u = −0.684715 − 0.266128I
a = −0.959781 − 0.292036I
b = −1.52276 + 0.16188I
−8.17847 + 4.45565I 0
u = −0.439169 + 1.203530I
a = 0.52791 − 1.96700I
b = −1.47656 + 0.23123I
−5.23032 + 8.79397I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.439169 − 1.203530I
a = 0.52791 + 1.96700I
b = −1.47656 − 0.23123I
−5.23032 − 8.79397I 0
u = 0.613331 + 1.176900I
a = −0.21743 − 1.57938I
b = 1.406670 + 0.136214I
−6.74582 − 4.23771I 0
u = 0.613331 − 1.176900I
a = −0.21743 + 1.57938I
b = 1.406670 − 0.136214I
−6.74582 + 4.23771I 0
u = 0.483483 + 1.245270I
a = 0.435991 + 1.151330I
b = −1.303720 − 0.344377I
−1.73968 − 5.59005I 0
u = 0.483483 − 1.245270I
a = 0.435991 − 1.151330I
b = −1.303720 + 0.344377I
−1.73968 + 5.59005I 0
u = −0.686007 + 1.160190I
a = 0.522444 + 1.062630I
b = 1.319060 − 0.292233I
2.73676 + 0.54826I 0
u = −0.686007 − 1.160190I
a = 0.522444 − 1.062630I
b = 1.319060 + 0.292233I
2.73676 − 0.54826I 0
u = 0.371853 + 1.300940I
a = 0.033576 − 1.085870I
b = 0.300881 + 0.771036I
3.74987 − 2.70348I 0
u = 0.371853 − 1.300940I
a = 0.033576 + 1.085870I
b = 0.300881 − 0.771036I
3.74987 + 2.70348I 0
u = −0.449274 + 1.286290I
a = −0.143209 − 1.370630I
b = −0.314364 + 0.907876I
8.26381 + 7.61943I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.449274 − 1.286290I
a = −0.143209 + 1.370630I
b = −0.314364 − 0.907876I
8.26381 − 7.61943I 0
u = −0.576802 + 0.229584I
a = 0.240622 − 0.047855I
b = 0.549931 + 0.558149I
−1.30703 − 1.84964I 0
u = −0.576802 − 0.229584I
a = 0.240622 + 0.047855I
b = 0.549931 − 0.558149I
−1.30703 + 1.84964I 0
u = −0.809204 + 1.122370I
a = −0.637687 − 0.980685I
b = −1.374110 + 0.185055I
2.71446 + 5.08005I 0
u = −0.809204 − 1.122370I
a = −0.637687 + 0.980685I
b = −1.374110 − 0.185055I
2.71446 − 5.08005I 0
u = −0.521501 + 1.286260I
a = 0.234119 + 1.322860I
b = 0.374641 − 0.990244I
6.5019 + 13.6173I 0
u = −0.521501 − 1.286260I
a = 0.234119 − 1.322860I
b = 0.374641 + 0.990244I
6.5019 − 13.6173I 0
u = −0.114492 + 1.388930I
a = −1.70720 + 0.88455I
b = 1.317400 − 0.141575I
3.36542 + 4.15824I 0
u = −0.114492 − 1.388930I
a = −1.70720 − 0.88455I
b = 1.317400 + 0.141575I
3.36542 − 4.15824I 0
u = 0.499880 + 1.316940I
a = −0.089651 + 1.068910I
b = −0.453916 − 0.761218I
2.76860 − 7.90997I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.499880 − 1.316940I
a = −0.089651 − 1.068910I
b = −0.453916 + 0.761218I
2.76860 + 7.90997I 0
u = −0.56594 + 1.31649I
a = 0.442177 + 0.654444I
b = 0.120597 − 0.511623I
7.53457 + 2.56804I 0
u = −0.56594 − 1.31649I
a = 0.442177 − 0.654444I
b = 0.120597 + 0.511623I
7.53457 − 2.56804I 0
u = 0.19688 + 1.42781I
a = 1.49564 + 0.47828I
b = −1.253650 + 0.046576I
2.58804 − 3.76502I 0
u = 0.19688 − 1.42781I
a = 1.49564 − 0.47828I
b = −1.253650 − 0.046576I
2.58804 + 3.76502I 0
u = −0.41934 + 1.38628I
a = −0.373776 − 0.769896I
b = −0.112084 + 0.675170I
7.23537 − 2.98640I 0
u = −0.41934 − 1.38628I
a = −0.373776 + 0.769896I
b = −0.112084 − 0.675170I
7.23537 + 2.98640I 0
u = 1.35708 + 0.52770I
a = 0.496901 − 0.094223I
b = 1.373620 − 0.172233I
−6.31168 + 4.42341I 0
u = 1.35708 − 0.52770I
a = 0.496901 + 0.094223I
b = 1.373620 + 0.172233I
−6.31168 − 4.42341I 0
u = −0.59394 + 1.34963I
a = −0.26037 + 1.47710I
b = 1.45524 − 0.35568I
2.60968 + 12.15470I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.59394 − 1.34963I
a = −0.26037 − 1.47710I
b = 1.45524 + 0.35568I
2.60968 − 12.15470I 0
u = 0.64897 + 1.32693I
a = 0.108148 + 1.183680I
b = −1.40883 − 0.29861I
−1.66880 − 6.56311I 0
u = 0.64897 − 1.32693I
a = 0.108148 − 1.183680I
b = −1.40883 + 0.29861I
−1.66880 + 6.56311I 0
u = −0.66521 + 1.32464I
a = 0.10798 − 1.48786I
b = −1.49557 + 0.38475I
0.5264 + 18.5537I 0
u = −0.66521 − 1.32464I
a = 0.10798 + 1.48786I
b = −1.49557 − 0.38475I
0.5264 − 18.5537I 0
u = 1.43853 + 0.36967I
a = −0.440127 + 0.064598I
b = −1.304610 + 0.111574I
−5.19271 − 0.46382I 0
u = 1.43853 − 0.36967I
a = −0.440127 − 0.064598I
b = −1.304610 − 0.111574I
−5.19271 + 0.46382I 0
u = 0.73371 + 1.31741I
a = 0.041791 − 1.218710I
b = 1.48557 + 0.29034I
−3.45956 − 11.75770I 0
u = 0.73371 − 1.31741I
a = 0.041791 + 1.218710I
b = 1.48557 − 0.29034I
−3.45956 + 11.75770I 0
u = −0.368552 + 0.170977I
a = 0.06041 − 2.44101I
b = −0.514541 + 0.493160I
3.49008 + 0.56457I −4.80701 − 4.25528I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.368552 − 0.170977I
a = 0.06041 + 2.44101I
b = −0.514541 − 0.493160I
3.49008 − 0.56457I −4.80701 + 4.25528I
u = 0.393743
a = −0.581967
b = 0.370806
−0.699244 −14.0430
u = −0.38556 + 1.57749I
a = −0.431785 + 0.034034I
b = 1.218090 + 0.142163I
4.21607 + 0.20557I 0
u = −0.38556 − 1.57749I
a = −0.431785 − 0.034034I
b = 1.218090 − 0.142163I
4.21607 − 0.20557I 0
u = −0.15905 + 1.66046I
a = 0.420361 + 0.131503I
b = −1.197850 − 0.189327I
4.04950 − 6.10139I 0
u = −0.15905 − 1.66046I
a = 0.420361 − 0.131503I
b = −1.197850 + 0.189327I
4.04950 + 6.10139I 0
u = −0.250756 + 0.127060I
a = 1.78838 + 4.61669I
b = 0.517142 − 0.577429I
1.72264 − 4.28556I −9.99466 + 1.07826I
u = −0.250756 − 0.127060I
a = 1.78838 − 4.61669I
b = 0.517142 + 0.577429I
1.72264 + 4.28556I −9.99466 − 1.07826I
u = −0.1207490 + 0.0409065I
a = 1.86529 + 4.84340I
b = 0.179574 + 0.443080I
−0.53278 − 1.51708I −4.79422 + 2.70267I
u = −0.1207490 − 0.0409065I
a = 1.86529 − 4.84340I
b = 0.179574 − 0.443080I
−0.53278 + 1.51708I −4.79422 − 2.70267I
17
II.
I
u
2
= h9.06 × 10
6
u
33
− 5.26 × 10
7
u
32
+ · · · + 3.22 × 10
5
b − 3.89 × 10
6
, −9.77 ×
10
6
u
33
+5.86×10
7
u
32
+· · · +3.22×10
5
a+3.89×10
6
, u
34
−6u
33
+· · · − 6u +1i
(i) Arc colorings
a
1
=
0
u
a
9
=
1
0
a
5
=
30.3676u
33
− 182.036u
32
+ ··· + 125.993u − 12.0898
−28.1461u
33
+ 163.522u
32
+ ··· − 138.039u + 12.0918
a
10
=
1
u
2
a
11
=
−6.03177u
33
+ 26.8356u
32
+ ··· + 80.8754u − 20.1016
−3.63424u
33
+ 15.1855u
32
+ ··· + 75.7771u − 12.7466
a
4
=
2.22152u
33
− 18.5140u
32
+ ··· − 12.0463u + 0.00209099
−28.1461u
33
+ 163.522u
32
+ ··· − 138.039u + 12.0918
a
8
=
12.0934u
33
− 60.8529u
32
+ ··· − 119.983u + 29.7885
1.02930u
33
+ 3.79785u
32
+ ··· − 76.4374u + 11.0126
a
3
=
−10.9493u
33
+ 66.4319u
32
+ ··· − 111.298u + 15.1043
25.4830u
33
− 137.966u
32
+ ··· + 29.5760u + 13.0636
a
7
=
4.46903u
33
− 25.7688u
32
+ ··· + 71.9008u − 7.46165
10.6542u
33
− 55.9830u
32
+ ··· − 34.7170u + 8.89648
a
12
=
u
u
3
+ u
a
6
=
11.5576u
33
− 74.6522u
32
+ ··· + 91.2170u − 13.2726
−38.7069u
33
+ 227.188u
32
+ ··· − 186.862u + 16.3850
a
2
=
−22.3410u
33
+ 133.212u
32
+ ··· − 205.379u + 27.9359
17.1128u
33
− 86.7603u
32
+ ··· − 33.5353u + 21.4655
(ii) Obstruction class = 1
(iii) Cusp Shapes =
4906050
321857
u
33
−
20026912
321857
u
32
+ ··· −
104075254
321857
u +
11861529
321857
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
− 17u
33
+ ··· − 21u + 1
c
2
u
34
− 3u
33
+ ··· − 3u + 1
c
3
, c
4
u
34
− 18u
32
+ ··· − 4u + 1
c
5
u
34
+ 4u
32
+ ··· − 2u + 1
c
6
u
34
+ 3u
33
+ ··· + 3u + 1
c
7
u
34
+ 2u
33
+ ··· + 10u
2
+ 1
c
8
u
34
− 18u
32
+ ··· + 4u + 1
c
9
u
34
− 6u
33
+ ··· − 6u + 1
c
10
u
34
− 12u
31
+ ··· − 8u + 1
c
11
u
34
− 2u
33
+ ··· + 10u
2
+ 1
c
12
u
34
+ 6u
33
+ ··· + 6u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 17y
33
+ ··· + 17y + 1
c
2
, c
6
y
34
+ 17y
33
+ ··· + 21y + 1
c
3
, c
4
, c
8
y
34
− 36y
33
+ ··· − 4y + 1
c
5
y
34
+ 8y
33
+ ··· + 12y + 1
c
7
, c
11
y
34
+ 22y
33
+ ··· + 20y + 1
c
9
, c
12
y
34
+ 18y
33
+ ··· + 22y + 1
c
10
y
34
− 76y
31
+ ··· + 46y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362295 + 0.934341I
a = 0.571349 − 1.106030I
b = −0.368235 + 0.947898I
0.569803 − 0.377414I −12.68162 + 0.92353I
u = 0.362295 − 0.934341I
a = 0.571349 + 1.106030I
b = −0.368235 − 0.947898I
0.569803 + 0.377414I −12.68162 − 0.92353I
u = 0.964971 + 0.058295I
a = −0.255529 − 0.336232I
b = −0.132829 − 0.227130I
−1.71093 − 1.91753I −12.98292 − 2.82918I
u = 0.964971 − 0.058295I
a = −0.255529 + 0.336232I
b = −0.132829 + 0.227130I
−1.71093 + 1.91753I −12.98292 + 2.82918I
u = 0.881029 + 0.308206I
a = 0.608007 − 0.571275I
b = 1.44687 − 0.11986I
−7.17236 + 3.25095I −14.4893 − 2.5272I
u = 0.881029 − 0.308206I
a = 0.608007 + 0.571275I
b = 1.44687 + 0.11986I
−7.17236 − 3.25095I −14.4893 + 2.5272I
u = 0.298489 + 0.838182I
a = −0.53459 + 1.80651I
b = 0.043826 − 0.891360I
0.13345 − 2.50522I −8.58101 + 5.77844I
u = 0.298489 − 0.838182I
a = −0.53459 − 1.80651I
b = 0.043826 + 0.891360I
0.13345 + 2.50522I −8.58101 − 5.77844I
u = −0.384161 + 0.777176I
a = −1.69476 − 0.73523I
b = 0.625401 + 0.335047I
4.38319 + 0.87335I −3.44558 + 4.49535I
u = −0.384161 − 0.777176I
a = −1.69476 + 0.73523I
b = 0.625401 − 0.335047I
4.38319 − 0.87335I −3.44558 − 4.49535I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.412532 + 1.066390I
a = −0.43403 − 1.82712I
b = 1.47282 + 0.32974I
−4.92353 − 7.07733I −8.00000 + 6.50442I
u = 0.412532 − 1.066390I
a = −0.43403 + 1.82712I
b = 1.47282 − 0.32974I
−4.92353 + 7.07733I −8.00000 − 6.50442I
u = −0.746513 + 0.870185I
a = 1.02234 + 1.08350I
b = 1.213120 − 0.145368I
2.15980 + 2.61121I −8.00000 − 4.50921I
u = −0.746513 − 0.870185I
a = 1.02234 − 1.08350I
b = 1.213120 + 0.145368I
2.15980 − 2.61121I −8.00000 + 4.50921I
u = −0.326805 + 0.718833I
a = −1.85443 − 2.53621I
b = −1.348240 + 0.175669I
−0.94321 + 6.87314I −10.98607 − 6.55170I
u = −0.326805 − 0.718833I
a = −1.85443 + 2.53621I
b = −1.348240 − 0.175669I
−0.94321 − 6.87314I −10.98607 + 6.55170I
u = −0.263803 + 1.224040I
a = −0.145255 − 0.582755I
b = 0.591743 + 0.034239I
6.12220 + 2.00811I −3.97976 − 2.59328I
u = −0.263803 − 1.224040I
a = −0.145255 + 0.582755I
b = 0.591743 − 0.034239I
6.12220 − 2.00811I −3.97976 + 2.59328I
u = −0.132196 + 0.733697I
a = 1.73188 + 2.40449I
b = −0.440648 − 0.463011I
2.55022 + 4.55668I −0.63513 − 3.65256I
u = −0.132196 − 0.733697I
a = 1.73188 − 2.40449I
b = −0.440648 + 0.463011I
2.55022 − 4.55668I −0.63513 + 3.65256I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.055311 + 1.305410I
a = −0.283044 + 0.144340I
b = −0.575313 + 0.196962I
5.15846 − 4.12776I −3.79569 + 0.I
u = 0.055311 − 1.305410I
a = −0.283044 − 0.144340I
b = −0.575313 − 0.196962I
5.15846 + 4.12776I −3.79569 + 0.I
u = 0.602012 + 1.177220I
a = 0.212526 + 1.204120I
b = −1.240890 − 0.399799I
−2.35125 − 5.23849I −16.8976 + 0.I
u = 0.602012 − 1.177220I
a = 0.212526 − 1.204120I
b = −1.240890 + 0.399799I
−2.35125 + 5.23849I −16.8976 + 0.I
u = 1.294050 + 0.283314I
a = −0.329958 + 0.175257I
b = −1.311060 + 0.076528I
−5.65111 − 0.82718I −16.3314 + 7.1739I
u = 1.294050 − 0.283314I
a = −0.329958 − 0.175257I
b = −1.311060 − 0.076528I
−5.65111 + 0.82718I −16.3314 − 7.1739I
u = −0.387999 + 1.296140I
a = −0.55950 + 1.44876I
b = 1.250220 − 0.025922I
3.59809 + 2.25819I 0
u = −0.387999 − 1.296140I
a = −0.55950 − 1.44876I
b = 1.250220 + 0.025922I
3.59809 − 2.25819I 0
u = 0.243023 + 0.589710I
a = −0.536752 − 0.762964I
b = 1.61990 − 0.15428I
−6.75331 + 3.76104I −12.22184 − 2.29173I
u = 0.243023 − 0.589710I
a = −0.536752 + 0.762964I
b = 1.61990 + 0.15428I
−6.75331 − 3.76104I −12.22184 + 2.29173I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.01793 + 1.44056I
a = 1.49447 − 0.12610I
b = −1.264020 − 0.082568I
2.50794 − 5.14683I 0
u = 0.01793 − 1.44056I
a = 1.49447 + 0.12610I
b = −1.264020 + 0.082568I
2.50794 + 5.14683I 0
u = 0.109835 + 0.509781I
a = 1.48728 − 0.81372I
b = −1.58268 + 0.19695I
−5.90213 + 1.44704I −15.3919 − 2.0599I
u = 0.109835 − 0.509781I
a = 1.48728 + 0.81372I
b = −1.58268 − 0.19695I
−5.90213 − 1.44704I −15.3919 + 2.0599I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 17u
33
+ ··· − 21u + 1)(u
130
+ 54u
129
+ ··· − 5575u + 7921)
c
2
(u
34
− 3u
33
+ ··· − 3u + 1)(u
130
+ 27u
128
+ ··· − 71u − 89)
c
3
, c
4
(u
34
− 18u
32
+ ··· − 4u + 1)(u
130
− u
129
+ ··· + 4476u − 653)
c
5
(u
34
+ 4u
32
+ ··· − 2u + 1)(u
130
− u
129
+ ··· − 5193796u − 5692175)
c
6
(u
34
+ 3u
33
+ ··· + 3u + 1)(u
130
+ 27u
128
+ ··· − 71u − 89)
c
7
(u
34
+ 2u
33
+ ··· + 10u
2
+ 1)(u
130
+ 3u
129
+ ··· − 119574u − 21673)
c
8
(u
34
− 18u
32
+ ··· + 4u + 1)(u
130
− u
129
+ ··· + 4476u − 653)
c
9
(u
34
− 6u
33
+ ··· − 6u + 1)(u
130
− 5u
129
+ ··· − 9370u + 307)
c
10
(u
34
− 12u
31
+ ··· − 8u + 1)(u
130
+ u
129
+ ··· − 263540u − 65057)
c
11
(u
34
− 2u
33
+ ··· + 10u
2
+ 1)(u
130
+ 3u
129
+ ··· − 119574u − 21673)
c
12
(u
34
+ 6u
33
+ ··· + 6u + 1)(u
130
− 5u
129
+ ··· − 9370u + 307)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ 17y
33
+ ··· + 17y + 1)
· (y
130
+ 62y
129
+ ··· − 19593843639y + 62742241)
c
2
, c
6
(y
34
+ 17y
33
+ ··· + 21y + 1)(y
130
+ 54y
129
+ ··· − 5575y + 7921)
c
3
, c
4
, c
8
(y
34
− 36y
33
+ ··· − 4y + 1)
· (y
130
− 123y
129
+ ··· + 2757736y + 426409)
c
5
(y
34
+ 8y
33
+ ··· + 12y + 1)
· (y
130
+ 49y
129
+ ··· + 915788440159684y + 32400856230625)
c
7
, c
11
(y
34
+ 22y
33
+ ··· + 20y + 1)
· (y
130
+ 83y
129
+ ··· + 11741041028y + 469718929)
c
9
, c
12
(y
34
+ 18y
33
+ ··· + 22y + 1)
· (y
130
+ 75y
129
+ ··· − 8845710y + 94249)
c
10
(y
34
− 76y
31
+ ··· + 46y + 1)
· (y
130
+ 13y
129
+ ··· + 211632593170y + 4232413249)
26
