12a
0604
(K12a
0604
)
A knot diagram
1
Linearized knot diagam
3 7 9 12 8 11 2 5 1 6 10 4
Solving Sequence
5,12
4
1,9
10 3 2 8 6 7 11
c
4
c
12
c
9
c
3
c
1
c
8
c
5
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.06975 × 10
546
u
142
− 7.77145 × 10
546
u
141
+ ··· + 3.41807 × 10
543
b + 1.40078 × 10
548
,
− 2.07944 × 10
545
u
142
+ 2.80717 × 10
546
u
141
+ ··· + 3.41807 × 10
543
a − 2.16578 × 10
548
,
u
143
− 7u
142
+ ··· + 3881u − 121i
I
u
2
= h1318285860373840u
31
− 1436322685985714u
30
+ ··· + 173990609655301b − 3641781170576400,
3863358201022951u
31
+ 4701671484443780u
30
+ ··· + 173990609655301a + 5565697109234501,
u
32
+ 12u
30
+ ··· + u + 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
= h1.07 × 10
546
u
142
− 7.77 × 10
546
u
141
+ · · · + 3.42 × 10
543
b + 1.40 ×
10
548
, −2.08 × 10
545
u
142
+ 2.81 × 10
546
u
141
+ · · · + 3.42 × 10
543
a − 2.17 ×
10
548
, u
143
− 7u
142
+ · · · + 3881u − 121i
(i) Arc colorings
a
5
=
1
0
a
12
=
0
u
a
4
=
1
u
2
a
1
=
u
u
3
+ u
a
9
=
60.8368u
142
− 821.273u
141
+ ··· − 1.99321 × 10
6
u + 63362.7
−312.970u
142
+ 2273.64u
141
+ ··· + 1.32948 × 10
6
u − 40981.7
a
10
=
−213.444u
142
+ 1205.05u
141
+ ··· − 671828.u + 22460.4
−295.721u
142
+ 2356.12u
141
+ ··· + 2.20490 × 10
6
u − 69014.7
a
3
=
−163.545u
142
+ 1035.16u
141
+ ··· − 46634.6u + 2256.25
18.3757u
142
− 24.5616u
141
+ ··· + 427470.u − 13730.8
a
2
=
152.700u
142
− 1154.18u
141
+ ··· − 833158.u + 25921.2
−162.336u
142
+ 1098.28u
141
+ ··· + 315472.u − 9312.22
a
8
=
−252.134u
142
+ 1452.37u
141
+ ··· − 663723.u + 22381.0
−312.970u
142
+ 2273.64u
141
+ ··· + 1.32948 × 10
6
u − 40981.7
a
6
=
−347.409u
142
+ 2438.03u
141
+ ··· + 1.10062 × 10
6
u − 33534.6
254.951u
142
− 1425.93u
141
+ ··· + 867942.u − 28929.3
a
7
=
−288.174u
142
+ 1769.85u
141
+ ··· − 249787.u + 9322.75
−146.578u
142
+ 1355.32u
141
+ ··· + 1.95952 × 10
6
u − 61910.5
a
11
=
−250.569u
142
+ 1674.41u
141
+ ··· + 402308.u − 11699.0
278.552u
142
− 1552.32u
141
+ ··· + 970880.u − 32344.9
(ii) Obstruction class = −1
(iii) Cusp Shapes = −160.761u
142
− 47.4725u
141
+ ··· − 4.91048 × 10
6
u + 157668.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
143
+ 55u
142
+ ··· − 53u − 1
c
2
, c
7
u
143
+ u
142
+ ··· − 5u + 1
c
3
u
143
+ u
142
+ ··· + 10u + 3
c
4
, c
12
u
143
+ 7u
142
+ ··· + 3881u + 121
c
5
, c
8
u
143
− 3u
142
+ ··· − 2753876u + 594031
c
6
, c
10
u
143
− u
142
+ ··· − 1618u + 253
c
9
u
143
− 3u
142
+ ··· − 48u + 1
c
11
u
143
+ 57u
142
+ ··· + 375838u + 64009
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
143
+ 79y
142
+ ··· − 1165y −1
c
2
, c
7
y
143
+ 55y
142
+ ··· − 53y −1
c
3
y
143
+ 7y
142
+ ··· − 338y −9
c
4
, c
12
y
143
+ 87y
142
+ ··· + 8076105y −14641
c
5
, c
8
y
143
+ 109y
142
+ ··· − 10735503242368y −352872828961
c
6
, c
10
y
143
− 57y
142
+ ··· + 375838y −64009
c
9
y
143
− y
142
+ ··· + 32y −1
c
11
y
143
+ 75y
142
+ ··· − 771783103574y −4097152081
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.409876 + 0.894319I
a = 2.20658 + 0.13329I
b = −0.588263 − 0.919080I
−0.10925 − 4.11451I 0
u = −0.409876 − 0.894319I
a = 2.20658 − 0.13329I
b = −0.588263 + 0.919080I
−0.10925 + 4.11451I 0
u = 0.338063 + 0.961942I
a = −2.80753 + 0.27646I
b = 0.011443 − 1.236700I
4.47686 + 5.62073I 0
u = 0.338063 − 0.961942I
a = −2.80753 − 0.27646I
b = 0.011443 + 1.236700I
4.47686 − 5.62073I 0
u = −0.406563 + 0.891523I
a = 0.412746 + 0.380192I
b = 0.046954 + 0.283956I
0.54871 − 1.77979I 0
u = −0.406563 − 0.891523I
a = 0.412746 − 0.380192I
b = 0.046954 − 0.283956I
0.54871 + 1.77979I 0
u = 0.284513 + 0.922029I
a = −1.78615 − 1.23934I
b = 0.254594 − 1.355680I
3.06352 + 4.33431I 0
u = 0.284513 − 0.922029I
a = −1.78615 + 1.23934I
b = 0.254594 + 1.355680I
3.06352 − 4.33431I 0
u = −0.353741 + 0.973035I
a = 2.62946 + 0.61940I
b = 0.074561 − 1.100870I
4.19716 − 0.40417I 0
u = −0.353741 − 0.973035I
a = 2.62946 − 0.61940I
b = 0.074561 + 1.100870I
4.19716 + 0.40417I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.272760 + 0.921244I
a = 1.30511 − 1.77902I
b = −0.288482 − 1.278600I
1.96931 − 9.26844I 0
u = −0.272760 − 0.921244I
a = 1.30511 + 1.77902I
b = −0.288482 + 1.278600I
1.96931 + 9.26844I 0
u = −0.260158 + 0.907594I
a = 0.180844 − 0.696566I
b = 0.016534 − 1.256220I
−1.11429 − 3.32399I 0
u = −0.260158 − 0.907594I
a = 0.180844 + 0.696566I
b = 0.016534 + 1.256220I
−1.11429 + 3.32399I 0
u = 0.312150 + 0.889695I
a = −1.76098 − 0.06289I
b = 0.30351 − 1.41900I
2.42259 + 4.44141I 0
u = 0.312150 − 0.889695I
a = −1.76098 + 0.06289I
b = 0.30351 + 1.41900I
2.42259 − 4.44141I 0
u = 1.069750 + 0.080254I
a = 0.051692 − 0.443330I
b = −0.347228 − 0.619341I
−2.76889 + 1.32129I 0
u = 1.069750 − 0.080254I
a = 0.051692 + 0.443330I
b = −0.347228 + 0.619341I
−2.76889 − 1.32129I 0
u = −0.292145 + 0.870590I
a = −2.15870 − 1.12139I
b = 0.84953 + 1.44858I
4.01603 − 3.90298I 0
u = −0.292145 − 0.870590I
a = −2.15870 + 1.12139I
b = 0.84953 − 1.44858I
4.01603 + 3.90298I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.055650 + 0.239163I
a = −0.123255 + 0.371934I
b = 0.39225 + 1.40040I
7.10510 − 7.25153I 0
u = 1.055650 − 0.239163I
a = −0.123255 − 0.371934I
b = 0.39225 − 1.40040I
7.10510 + 7.25153I 0
u = −0.390050 + 0.824416I
a = 2.45071 + 0.42463I
b = −1.02637 − 1.33643I
3.17089 − 9.43341I 0
u = −0.390050 − 0.824416I
a = 2.45071 − 0.42463I
b = −1.02637 + 1.33643I
3.17089 + 9.43341I 0
u = 0.320924 + 0.849210I
a = −0.988475 − 0.694161I
b = 0.606579 − 0.303759I
−2.00670 + 0.77075I 0
u = 0.320924 − 0.849210I
a = −0.988475 + 0.694161I
b = 0.606579 + 0.303759I
−2.00670 − 0.77075I 0
u = 0.315249 + 0.848930I
a = 1.96950 − 1.13587I
b = −0.59718 + 1.58798I
4.60476 − 1.50789I 0
u = 0.315249 − 0.848930I
a = 1.96950 + 1.13587I
b = −0.59718 − 1.58798I
4.60476 + 1.50789I 0
u = 0.364690 + 0.825608I
a = −2.27109 + 0.55935I
b = 0.85536 − 1.50734I
4.07252 + 4.30234I 0
u = 0.364690 − 0.825608I
a = −2.27109 − 0.55935I
b = 0.85536 + 1.50734I
4.07252 − 4.30234I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.878292 + 0.182741I
a = 0.481164 + 0.015312I
b = −0.133818 + 1.198810I
0.47134 + 5.51955I 0
u = 0.878292 − 0.182741I
a = 0.481164 − 0.015312I
b = −0.133818 − 1.198810I
0.47134 − 5.51955I 0
u = −0.203253 + 0.866437I
a = −0.123173 + 1.053840I
b = 0.43068 − 1.87863I
4.24284 + 1.56767I 0
u = −0.203253 − 0.866437I
a = −0.123173 − 1.053840I
b = 0.43068 + 1.87863I
4.24284 − 1.56767I 0
u = −0.438231 + 0.769882I
a = −0.042539 − 0.958749I
b = −0.60561 + 1.59204I
3.30529 + 5.86418I 0
u = −0.438231 − 0.769882I
a = −0.042539 + 0.958749I
b = −0.60561 − 1.59204I
3.30529 − 5.86418I 0
u = −0.165810 + 1.108060I
a = −1.43463 + 0.11979I
b = 0.858673 − 0.500804I
−3.94404 − 0.75957I 0
u = −0.165810 − 1.108060I
a = −1.43463 − 0.11979I
b = 0.858673 + 0.500804I
−3.94404 + 0.75957I 0
u = 0.413134 + 0.775606I
a = 0.483800 − 0.990728I
b = 0.39448 + 1.69283I
4.18272 − 0.89273I 0
u = 0.413134 − 0.775606I
a = 0.483800 + 0.990728I
b = 0.39448 − 1.69283I
4.18272 + 0.89273I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.437260 + 1.033550I
a = 1.326170 − 0.096997I
b = −0.508390 − 0.296696I
−0.50485 − 2.73778I 0
u = −0.437260 − 1.033550I
a = 1.326170 + 0.096997I
b = −0.508390 + 0.296696I
−0.50485 + 2.73778I 0
u = 0.226363 + 0.846555I
a = −0.415887 + 1.046790I
b = −0.15116 − 1.92497I
4.79803 + 4.07547I 0
u = 0.226363 − 0.846555I
a = −0.415887 − 1.046790I
b = −0.15116 + 1.92497I
4.79803 − 4.07547I 0
u = 0.241324 + 1.104080I
a = 1.59405 + 0.22801I
b = −0.816497 − 0.473422I
−6.21474 + 5.59156I 0
u = 0.241324 − 1.104080I
a = 1.59405 − 0.22801I
b = −0.816497 + 0.473422I
−6.21474 − 5.59156I 0
u = −0.837615 + 0.206861I
a = −0.362293 − 0.200136I
b = −0.133056 + 1.095170I
1.57710 − 0.73419I 0
u = −0.837615 − 0.206861I
a = −0.362293 + 0.200136I
b = −0.133056 − 1.095170I
1.57710 + 0.73419I 0
u = −1.134430 + 0.269030I
a = 0.078144 + 0.348563I
b = −0.244671 + 1.380900I
8.39956 + 0.86716I 0
u = −1.134430 − 0.269030I
a = 0.078144 − 0.348563I
b = −0.244671 − 1.380900I
8.39956 − 0.86716I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.471275 + 0.687427I
a = 0.132408 + 0.088818I
b = −0.375328 + 1.153630I
0.501240 + 0.405728I 0
u = −0.471275 − 0.687427I
a = 0.132408 − 0.088818I
b = −0.375328 − 1.153630I
0.501240 − 0.405728I 0
u = −0.245496 + 0.793886I
a = −2.43593 − 0.88383I
b = 0.261695 + 0.827557I
−0.754882 + 0.908230I 0
u = −0.245496 − 0.793886I
a = −2.43593 + 0.88383I
b = 0.261695 − 0.827557I
−0.754882 − 0.908230I 0
u = 0.545388 + 1.040330I
a = −1.49961 − 0.44283I
b = 0.526297 − 0.666540I
−2.64163 + 6.12911I 0
u = 0.545388 − 1.040330I
a = −1.49961 + 0.44283I
b = 0.526297 + 0.666540I
−2.64163 − 6.12911I 0
u = −0.228969 + 0.771382I
a = −3.32165 − 0.26537I
b = −0.237562 + 0.919528I
2.50374 + 6.83691I 0
u = −0.228969 − 0.771382I
a = −3.32165 + 0.26537I
b = −0.237562 − 0.919528I
2.50374 − 6.83691I 0
u = 0.317671 + 0.731649I
a = 1.45560 − 0.01577I
b = 0.074825 + 1.341700I
2.88396 − 1.52502I 0
u = 0.317671 − 0.731649I
a = 1.45560 + 0.01577I
b = 0.074825 − 1.341700I
2.88396 + 1.52502I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.359409 + 1.147820I
a = −0.945598 − 0.607175I
b = 0.859936 + 0.394641I
−4.22663 + 1.45748I 0
u = 0.359409 − 1.147820I
a = −0.945598 + 0.607175I
b = 0.859936 − 0.394641I
−4.22663 − 1.45748I 0
u = −0.722483 + 0.322293I
a = 0.195765 − 0.150846I
b = 0.062615 + 0.675116I
1.33826 − 1.49611I 0
u = −0.722483 − 0.322293I
a = 0.195765 + 0.150846I
b = 0.062615 − 0.675116I
1.33826 + 1.49611I 0
u = 0.236460 + 0.751511I
a = 2.87982 + 0.20790I
b = 0.186719 + 1.083700I
3.65906 − 1.80529I 0
u = 0.236460 − 0.751511I
a = 2.87982 − 0.20790I
b = 0.186719 − 1.083700I
3.65906 + 1.80529I 0
u = 1.196870 + 0.202223I
a = 0.063492 − 0.262345I
b = −0.50768 − 1.33425I
5.4176 − 13.1343I 0
u = 1.196870 − 0.202223I
a = 0.063492 + 0.262345I
b = −0.50768 + 1.33425I
5.4176 + 13.1343I 0
u = 0.231177 + 1.200910I
a = −0.763193 − 0.537484I
b = 0.686748 − 0.276936I
−2.00485 + 1.03914I 0
u = 0.231177 − 1.200910I
a = −0.763193 + 0.537484I
b = 0.686748 + 0.276936I
−2.00485 − 1.03914I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.482963 + 1.137540I
a = 1.55705 − 0.28439I
b = −1.229440 − 0.480521I
−0.52541 − 1.98449I 0
u = −0.482963 − 1.137540I
a = 1.55705 + 0.28439I
b = −1.229440 + 0.480521I
−0.52541 + 1.98449I 0
u = 0.456095 + 1.154010I
a = −1.52828 − 0.52113I
b = 1.346250 − 0.170329I
−1.19682 + 6.81038I 0
u = 0.456095 − 1.154010I
a = −1.52828 + 0.52113I
b = 1.346250 + 0.170329I
−1.19682 − 6.81038I 0
u = −0.568756 + 1.104000I
a = 1.150150 + 0.071404I
b = −0.692463 − 0.862627I
−0.99003 − 4.39494I 0
u = −0.568756 − 1.104000I
a = 1.150150 − 0.071404I
b = −0.692463 + 0.862627I
−0.99003 + 4.39494I 0
u = −0.740280 + 0.136855I
a = −0.129954 − 0.652074I
b = −0.809719 + 0.541019I
2.33926 − 2.49575I 0
u = −0.740280 − 0.136855I
a = −0.129954 + 0.652074I
b = −0.809719 − 0.541019I
2.33926 + 2.49575I 0
u = 0.180699 + 1.244330I
a = 1.168970 + 0.372629I
b = −0.861147 − 0.548494I
−8.49099 − 1.77052I 0
u = 0.180699 − 1.244330I
a = 1.168970 − 0.372629I
b = −0.861147 + 0.548494I
−8.49099 + 1.77052I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.735777 + 0.089718I
a = −0.242530 − 1.024610I
b = −0.910243 + 0.037611I
1.25246 + 7.91091I 0
u = 0.735777 − 0.089718I
a = −0.242530 + 1.024610I
b = −0.910243 − 0.037611I
1.25246 − 7.91091I 0
u = 0.718723 + 0.090281I
a = 0.061850 − 0.700454I
b = 0.941468 + 0.264534I
1.86135 − 2.50434I 0
u = 0.718723 − 0.090281I
a = 0.061850 + 0.700454I
b = 0.941468 − 0.264534I
1.86135 + 2.50434I 0
u = −0.701316 + 0.148407I
a = 0.443240 − 0.848281I
b = 0.703410 + 0.256407I
2.50110 − 2.58298I 0
u = −0.701316 − 0.148407I
a = 0.443240 + 0.848281I
b = 0.703410 − 0.256407I
2.50110 + 2.58298I 0
u = 0.656972 + 1.106080I
a = −1.324180 − 0.360830I
b = 0.378346 − 0.943016I
−2.53310 + 6.18641I 0
u = 0.656972 − 1.106080I
a = −1.324180 + 0.360830I
b = 0.378346 + 0.943016I
−2.53310 − 6.18641I 0
u = 0.432135 + 1.221640I
a = 1.43229 + 0.50481I
b = −1.51857 − 0.09633I
−2.49900 + 12.11870I 0
u = 0.432135 − 1.221640I
a = 1.43229 − 0.50481I
b = −1.51857 + 0.09633I
−2.49900 − 12.11870I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.416300 + 1.229830I
a = −1.42393 + 0.27587I
b = 1.404400 + 0.127993I
−1.41094 − 6.61756I 0
u = −0.416300 − 1.229830I
a = −1.42393 − 0.27587I
b = 1.404400 − 0.127993I
−1.41094 + 6.61756I 0
u = −1.285780 + 0.195513I
a = −0.017977 − 0.267704I
b = 0.376873 − 1.322230I
7.20653 + 6.59098I 0
u = −1.285780 − 0.195513I
a = −0.017977 + 0.267704I
b = 0.376873 + 1.322230I
7.20653 − 6.59098I 0
u = 0.082506 + 1.315580I
a = −0.126343 − 0.779054I
b = 0.206134 + 1.137020I
0.87338 − 2.99536I 0
u = 0.082506 − 1.315580I
a = −0.126343 + 0.779054I
b = 0.206134 − 1.137020I
0.87338 + 2.99536I 0
u = 0.406803 + 1.270930I
a = 1.67597 − 0.65720I
b = −0.383760 + 1.160540I
−3.91344 + 9.88644I 0
u = 0.406803 − 1.270930I
a = 1.67597 + 0.65720I
b = −0.383760 − 1.160540I
−3.91344 − 9.88644I 0
u = −0.401008 + 1.276640I
a = −1.36491 − 0.77324I
b = 0.249487 + 0.986213I
−2.87317 − 4.98544I 0
u = −0.401008 − 1.276640I
a = −1.36491 + 0.77324I
b = 0.249487 − 0.986213I
−2.87317 + 4.98544I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.342743 + 1.299600I
a = 0.044467 − 0.667510I
b = −0.377248 + 0.026425I
−1.92600 − 6.31263I 0
u = −0.342743 − 1.299600I
a = 0.044467 + 0.667510I
b = −0.377248 − 0.026425I
−1.92600 + 6.31263I 0
u = −0.398657 + 1.284730I
a = −1.115220 − 0.325759I
b = 0.620838 + 0.618962I
−3.34285 − 5.46853I 0
u = −0.398657 − 1.284730I
a = −1.115220 + 0.325759I
b = 0.620838 − 0.618962I
−3.34285 + 5.46853I 0
u = 0.456938 + 1.266740I
a = 0.776209 + 0.443984I
b = −0.865885 − 0.374996I
−6.95043 + 6.21889I 0
u = 0.456938 − 1.266740I
a = 0.776209 − 0.443984I
b = −0.865885 + 0.374996I
−6.95043 − 6.21889I 0
u = 0.434959 + 1.285620I
a = 1.43122 − 0.08980I
b = −0.659534 + 1.021300I
−7.05884 + 3.76976I 0
u = 0.434959 − 1.285620I
a = 1.43122 + 0.08980I
b = −0.659534 − 1.021300I
−7.05884 − 3.76976I 0
u = 0.575430 + 0.266975I
a = −0.037897 + 0.468895I
b = 0.433601 + 0.536034I
−0.59991 − 1.65353I 0
u = 0.575430 − 0.266975I
a = −0.037897 − 0.468895I
b = 0.433601 − 0.536034I
−0.59991 + 1.65353I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.640001 + 1.207760I
a = 0.559577 + 0.506420I
b = −0.563314 + 0.742476I
−1.56642 − 3.03874I 0
u = 0.640001 − 1.207760I
a = 0.559577 − 0.506420I
b = −0.563314 − 0.742476I
−1.56642 + 3.03874I 0
u = 0.600167 + 1.253790I
a = −1.66359 + 0.14533I
b = 0.53376 − 1.44823I
3.92573 + 13.13200I 0
u = 0.600167 − 1.253790I
a = −1.66359 − 0.14533I
b = 0.53376 + 1.44823I
3.92573 − 13.13200I 0
u = −0.625862 + 1.258890I
a = 1.50855 + 0.17248I
b = −0.41626 − 1.41135I
5.26206 − 7.02890I 0
u = −0.625862 − 1.258890I
a = 1.50855 − 0.17248I
b = −0.41626 + 1.41135I
5.26206 + 7.02890I 0
u = 1.20516 + 0.78491I
a = −0.256023 − 0.419927I
b = −0.208482 − 0.982709I
−1.91798 − 3.89604I 0
u = 1.20516 − 0.78491I
a = −0.256023 + 0.419927I
b = −0.208482 + 0.982709I
−1.91798 + 3.89604I 0
u = 0.196974 + 0.514065I
a = 0.21440 + 2.38937I
b = 0.034405 + 1.403400I
5.76837 − 2.72073I 0
u = 0.196974 − 0.514065I
a = 0.21440 − 2.38937I
b = 0.034405 − 1.403400I
5.76837 + 2.72073I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.63774 + 1.31072I
a = 1.53924 − 0.09161I
b = −0.66789 + 1.46266I
1.9240 + 19.5341I 0
u = 0.63774 − 1.31072I
a = 1.53924 + 0.09161I
b = −0.66789 − 1.46266I
1.9240 − 19.5341I 0
u = 0.72419 + 1.26731I
a = 1.180070 + 0.220824I
b = −0.459596 + 1.206970I
−4.17506 + 11.02990I 0
u = 0.72419 − 1.26731I
a = 1.180070 − 0.220824I
b = −0.459596 − 1.206970I
−4.17506 − 11.02990I 0
u = −0.65578 + 1.32482I
a = −1.400500 − 0.122714I
b = 0.56364 + 1.46038I
3.63866 − 13.25200I 0
u = −0.65578 − 1.32482I
a = −1.400500 + 0.122714I
b = 0.56364 − 1.46038I
3.63866 + 13.25200I 0
u = 1.08751 + 1.00446I
a = 0.352079 + 0.436032I
b = −0.050799 + 1.070720I
−1.52156 + 0.34717I 0
u = 1.08751 − 1.00446I
a = 0.352079 − 0.436032I
b = −0.050799 − 1.070720I
−1.52156 − 0.34717I 0
u = 0.69981 + 1.33953I
a = −0.298017 + 0.249932I
b = 0.068402 − 0.830064I
−2.56190 + 0.14422I 0
u = 0.69981 − 1.33953I
a = −0.298017 − 0.249932I
b = 0.068402 + 0.830064I
−2.56190 − 0.14422I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.90424 + 1.22717I
a = 0.757080 − 0.103344I
b = −0.014427 − 1.094330I
2.49620 − 1.93857I 0
u = −0.90424 − 1.22717I
a = 0.757080 + 0.103344I
b = −0.014427 + 1.094330I
2.49620 + 1.93857I 0
u = −0.243710 + 0.390674I
a = 0.89579 + 2.15684I
b = 0.100698 + 1.384360I
5.68760 − 2.65348I 0
u = −0.243710 − 0.390674I
a = 0.89579 − 2.15684I
b = 0.100698 − 1.384360I
5.68760 + 2.65348I 0
u = 0.282821 + 0.252122I
a = 1.97455 − 1.43823I
b = −0.529064 − 0.085417I
−3.68479 − 3.43622I −13.0881 + 5.6130I
u = 0.282821 − 0.252122I
a = 1.97455 + 1.43823I
b = −0.529064 + 0.085417I
−3.68479 + 3.43622I −13.0881 − 5.6130I
u = −0.89403 + 1.38947I
a = −0.696598 + 0.049512I
b = 0.178143 + 1.252320I
2.20239 − 6.88117I 0
u = −0.89403 − 1.38947I
a = −0.696598 − 0.049512I
b = 0.178143 − 1.252320I
2.20239 + 6.88117I 0
u = −0.49358 + 1.57840I
a = −0.564919 − 0.182390I
b = 0.491350 + 1.069500I
0.15945 − 3.37795I 0
u = −0.49358 − 1.57840I
a = −0.564919 + 0.182390I
b = 0.491350 − 1.069500I
0.15945 + 3.37795I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01391 + 1.90024I
a = 0.175776 + 0.240003I
b = −0.343885 − 0.832877I
−1.49379 − 6.94000I 0
u = −0.01391 − 1.90024I
a = 0.175776 − 0.240003I
b = −0.343885 + 0.832877I
−1.49379 + 6.94000I 0
u = 0.0410644
a = 13.9495
b = 0.475715
−1.11541 −9.18970
19
II.
I
u
2
= h1.32 × 10
15
u
31
− 1.44 × 10
15
u
30
+ · · · + 1.74 × 10
14
b − 3.64 × 10
15
, 3.86 ×
10
15
u
31
+4.70×10
15
u
30
+· · ·+1.74×10
14
a+5.57×10
15
, u
32
+12u
30
+· · ·+u+1i
(i) Arc colorings
a
5
=
1
0
a
12
=
0
u
a
4
=
1
u
2
a
1
=
u
u
3
+ u
a
9
=
−22.2044u
31
− 27.0226u
30
+ ··· − 82.7795u − 31.9885
−7.57676u
31
+ 8.25517u
30
+ ··· + 20.9332u + 20.9309
a
10
=
−23.9645u
31
− 19.3118u
30
+ ··· − 60.3591u − 15.6485
−4.78512u
31
+ 14.1490u
30
+ ··· + 37.4030u + 29.5601
a
3
=
4.17572u
31
− 10.7882u
30
+ ··· + 10.9108u − 10.7176
−u
30
− 11u
28
+ ··· − 13u
2
− u
a
2
=
−5.84615u
31
− 7.99209u
30
+ ··· − 11.4592u − 11.8864
1.20910u
31
+ 0.211125u
30
+ ··· + 4.82395u + 1.86061
a
8
=
−29.7812u
31
− 18.7674u
30
+ ··· − 61.8463u − 11.0576
−7.57676u
31
+ 8.25517u
30
+ ··· + 20.9332u + 20.9309
a
6
=
−17.9894u
31
+ 1.07993u
30
+ ··· − 32.2027u + 7.83473
6.90542u
31
+ 4.92672u
30
+ ··· + 29.7416u + 3.84679
a
7
=
−53.1412u
31
+ 6.43759u
30
+ ··· − 38.3877u + 30.4021
−8.53271u
31
+ 17.5380u
30
+ ··· + 33.7148u + 25.3631
a
11
=
3.36852u
31
− 4.41806u
30
+ ··· − 0.241384u − 2.69627
3.87158u
31
+ 12.9957u
30
+ ··· + 42.2939u + 26.6186
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
664759526927211
173990609655301
u
31
−
122349895792680
173990609655301
u
30
+ ··· +
1458028469222772
173990609655301
u +
317711536962977
173990609655301
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
32
− 16u
31
+ ··· − 17u + 1
c
2
u
32
+ 8u
30
+ ··· + u + 1
c
3
u
32
+ 2u
30
+ ··· + 4u + 1
c
4
u
32
+ 12u
30
+ ··· + u + 1
c
5
u
32
− 2u
31
+ ··· + 10u
2
+ 1
c
6
u
32
− 8u
30
+ ··· − 2u + 1
c
7
u
32
+ 8u
30
+ ··· − u + 1
c
8
u
32
+ 2u
31
+ ··· + 10u
2
+ 1
c
9
u
32
− 6u
31
+ ··· + 2u
2
+ 1
c
10
u
32
− 8u
30
+ ··· + 2u + 1
c
11
u
32
+ 16u
31
+ ··· + 18u + 1
c
12
u
32
+ 12u
30
+ ··· − u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
+ 12y
31
+ ··· + 13y + 1
c
2
, c
7
y
32
+ 16y
31
+ ··· + 17y + 1
c
3
y
32
+ 4y
31
+ ··· + 2y + 1
c
4
, c
12
y
32
+ 24y
31
+ ··· + 27y + 1
c
5
, c
8
y
32
+ 30y
31
+ ··· + 20y + 1
c
6
, c
10
y
32
− 16y
31
+ ··· − 18y + 1
c
9
y
32
+ 8y
30
+ ··· + 4y + 1
c
11
y
32
+ 16y
31
+ ··· − 2y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.377002 + 0.860470I
a = 1.018800 − 0.187235I
b = 0.219916 + 1.383980I
2.76714 − 0.89506I −5.83861 − 4.76994I
u = 0.377002 − 0.860470I
a = 1.018800 + 0.187235I
b = 0.219916 − 1.383980I
2.76714 + 0.89506I −5.83861 + 4.76994I
u = 0.418834 + 1.010070I
a = −1.42074 + 0.20749I
b = 0.20725 − 1.40604I
2.80871 + 5.14491I −2.17318 − 8.84355I
u = 0.418834 − 1.010070I
a = −1.42074 − 0.20749I
b = 0.20725 + 1.40604I
2.80871 − 5.14491I −2.17318 + 8.84355I
u = 0.203515 + 0.870967I
a = −2.64540 − 0.11143I
b = 0.48543 − 1.35345I
3.16341 + 3.49472I −3.10019 + 1.18656I
u = 0.203515 − 0.870967I
a = −2.64540 + 0.11143I
b = 0.48543 + 1.35345I
3.16341 − 3.49472I −3.10019 − 1.18656I
u = −0.587384 + 0.953739I
a = 1.31554 − 0.73873I
b = −0.560197 − 0.407437I
−3.32326 − 5.79350I −12.88067 + 4.76334I
u = −0.587384 − 0.953739I
a = 1.31554 + 0.73873I
b = −0.560197 + 0.407437I
−3.32326 + 5.79350I −12.88067 − 4.76334I
u = 0.471154 + 1.030510I
a = −1.50990 − 0.23394I
b = 0.897386 − 0.457167I
−1.46713 + 2.66367I −9.37615 − 3.62773I
u = 0.471154 − 1.030510I
a = −1.50990 + 0.23394I
b = 0.897386 + 0.457167I
−1.46713 − 2.66367I −9.37615 + 3.62773I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.149428 + 0.798777I
a = 2.85577 − 0.67738I
b = −0.535357 − 1.206510I
2.22534 − 8.20210I −4.23687 + 6.52948I
u = −0.149428 − 0.798777I
a = 2.85577 + 0.67738I
b = −0.535357 + 1.206510I
2.22534 + 8.20210I −4.23687 − 6.52948I
u = −0.991072 + 0.661101I
a = −0.019774 − 0.607455I
b = −0.215493 − 0.674465I
−2.55638 + 2.43576I −11.15253 − 3.40731I
u = −0.991072 − 0.661101I
a = −0.019774 + 0.607455I
b = −0.215493 + 0.674465I
−2.55638 − 2.43576I −11.15253 + 3.40731I
u = 0.089956 + 0.763984I
a = 1.069490 − 0.511674I
b = −0.07793 + 1.68527I
4.71007 − 2.91911I −2.46966 + 3.28243I
u = 0.089956 − 0.763984I
a = 1.069490 + 0.511674I
b = −0.07793 − 1.68527I
4.71007 + 2.91911I −2.46966 − 3.28243I
u = −0.011716 + 0.726969I
a = −1.19402 − 0.85169I
b = 0.33192 + 1.67681I
4.39632 − 2.40676I −1.83539 + 3.91389I
u = −0.011716 − 0.726969I
a = −1.19402 + 0.85169I
b = 0.33192 − 1.67681I
4.39632 + 2.40676I −1.83539 − 3.91389I
u = 0.360563 + 1.227180I
a = 1.194330 − 0.613128I
b = −0.451880 + 0.499564I
−3.97629 + 4.60062I −11.29051 − 2.35530I
u = 0.360563 − 1.227180I
a = 1.194330 + 0.613128I
b = −0.451880 − 0.499564I
−3.97629 − 4.60062I −11.29051 + 2.35530I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.474444 + 1.192130I
a = −1.274880 − 0.097578I
b = 0.326979 + 0.458257I
−5.05381 − 7.55872I −8.36492 + 7.60737I
u = −0.474444 − 1.192130I
a = −1.274880 + 0.097578I
b = 0.326979 − 0.458257I
−5.05381 + 7.55872I −8.36492 − 7.60737I
u = 0.576598 + 0.404247I
a = −0.427873 − 0.569188I
b = 0.247606 + 0.731597I
0.22424 + 1.55400I −5.27319 − 3.79595I
u = 0.576598 − 0.404247I
a = −0.427873 + 0.569188I
b = 0.247606 − 0.731597I
0.22424 − 1.55400I −5.27319 + 3.79595I
u = 0.65823 + 1.41559I
a = −0.630597 + 0.071697I
b = 0.529623 − 0.945665I
0.52262 + 3.44882I 0. − 7.46741I
u = 0.65823 − 1.41559I
a = −0.630597 − 0.071697I
b = 0.529623 + 0.945665I
0.52262 − 3.44882I 0. + 7.46741I
u = −1.05755 + 1.19822I
a = −0.243452 + 0.220997I
b = 0.059471 + 0.646924I
−3.09144 − 0.21194I −19.2903 + 0.I
u = −1.05755 − 1.19822I
a = −0.243452 − 0.220997I
b = 0.059471 − 0.646924I
−3.09144 + 0.21194I −19.2903 + 0.I
u = −0.164207 + 0.266287I
a = 2.16271 − 3.21122I
b = −0.145099 − 1.026200I
−0.18307 − 2.06849I −5.08688 + 2.95139I
u = −0.164207 − 0.266287I
a = 2.16271 + 3.21122I
b = −0.145099 + 1.026200I
−0.18307 + 2.06849I −5.08688 − 2.95139I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.27995 + 1.73326I
a = 0.249998 − 0.374898I
b = −0.319618 + 0.807978I
−1.16649 + 6.91343I 0
u = 0.27995 − 1.73326I
a = 0.249998 + 0.374898I
b = −0.319618 − 0.807978I
−1.16649 − 6.91343I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
32
− 16u
31
+ ··· − 17u + 1)(u
143
+ 55u
142
+ ··· − 53u − 1)
c
2
(u
32
+ 8u
30
+ ··· + u + 1)(u
143
+ u
142
+ ··· − 5u + 1)
c
3
(u
32
+ 2u
30
+ ··· + 4u + 1)(u
143
+ u
142
+ ··· + 10u + 3)
c
4
(u
32
+ 12u
30
+ ··· + u + 1)(u
143
+ 7u
142
+ ··· + 3881u + 121)
c
5
(u
32
− 2u
31
+ ··· + 10u
2
+ 1)(u
143
− 3u
142
+ ··· − 2753876u + 594031)
c
6
(u
32
− 8u
30
+ ··· − 2u + 1)(u
143
− u
142
+ ··· − 1618u + 253)
c
7
(u
32
+ 8u
30
+ ··· − u + 1)(u
143
+ u
142
+ ··· − 5u + 1)
c
8
(u
32
+ 2u
31
+ ··· + 10u
2
+ 1)(u
143
− 3u
142
+ ··· − 2753876u + 594031)
c
9
(u
32
− 6u
31
+ ··· + 2u
2
+ 1)(u
143
− 3u
142
+ ··· − 48u + 1)
c
10
(u
32
− 8u
30
+ ··· + 2u + 1)(u
143
− u
142
+ ··· − 1618u + 253)
c
11
(u
32
+ 16u
31
+ ··· + 18u + 1)(u
143
+ 57u
142
+ ··· + 375838u + 64009)
c
12
(u
32
+ 12u
30
+ ··· − u + 1)(u
143
+ 7u
142
+ ··· + 3881u + 121)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
32
+ 12y
31
+ ··· + 13y + 1)(y
143
+ 79y
142
+ ··· − 1165y −1)
c
2
, c
7
(y
32
+ 16y
31
+ ··· + 17y + 1)(y
143
+ 55y
142
+ ··· − 53y −1)
c
3
(y
32
+ 4y
31
+ ··· + 2y + 1)(y
143
+ 7y
142
+ ··· − 338y −9)
c
4
, c
12
(y
32
+ 24y
31
+ ··· + 27y + 1)
· (y
143
+ 87y
142
+ ··· + 8076105y −14641)
c
5
, c
8
(y
32
+ 30y
31
+ ··· + 20y + 1)
· (y
143
+ 109y
142
+ ··· − 10735503242368y −352872828961)
c
6
, c
10
(y
32
− 16y
31
+ ··· − 18y + 1)(y
143
− 57y
142
+ ··· + 375838y −64009)
c
9
(y
32
+ 8y
30
+ ··· + 4y + 1)(y
143
− y
142
+ ··· + 32y −1)
c
11
(y
32
+ 16y
31
+ ··· − 2y + 1)
· (y
143
+ 75y
142
+ ··· − 771783103574y −4097152081)
30
