12a
0282
(K12a
0282
)
A knot diagram
1
Linearized knot diagam
3 6 8 9 7 2 1 11 12 4 5 10
Solving Sequence
9,12
10
1,5
4 11 8 3 7 6 2
c
9
c
12
c
4
c
11
c
8
c
3
c
7
c
5
c
2
c
1
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.07020 × 10
371
u
117
− 5.81468 × 10
371
u
116
+ ··· + 7.49849 × 10
370
b − 3.68350 × 10
371
,
− 3.72284 × 10
371
u
117
− 7.75129 × 10
371
u
116
+ ··· + 7.49849 × 10
370
a − 1.71965 × 10
371
,
u
118
+ 3u
117
+ ··· + 4u + 1i
I
u
2
= hb + a + 1, a
2
+ a + 1, u − 1i
* 2 irreducible components of dim
C
= 0, with total 120 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−2.07 × 10
371
u
117
− 5.81 × 10
371
u
116
+ · · · + 7.50 × 10
370
b − 3.68 ×
10
371
, −3.72 × 10
371
u
117
− 7.75 × 10
371
u
116
+ · · · + 7.50 × 10
370
a − 1.72 ×
10
371
, u
118
+ 3u
117
+ · · · + 4u + 1i
(i) Arc colorings
a
9
=
1
0
a
12
=
0
u
a
10
=
1
u
2
a
1
=
−u
−u
3
+ u
a
5
=
4.96478u
117
+ 10.3371u
116
+ ··· + 2.65024u + 2.29333
2.76083u
117
+ 7.75447u
116
+ ··· + 14.8380u + 4.91232
a
4
=
7.72561u
117
+ 18.0916u
116
+ ··· + 17.4882u + 7.20565
2.76083u
117
+ 7.75447u
116
+ ··· + 14.8380u + 4.91232
a
11
=
1.65243u
117
+ 3.67747u
116
+ ··· + 1.68852u + 5.62501
1.61665u
117
+ 3.65263u
116
+ ··· + 5.67056u + 2.51293
a
8
=
0.838669u
117
+ 1.50372u
116
+ ··· + 3.43379u + 3.79256
u
3
− u
a
3
=
0.0861580u
117
+ 0.291059u
116
+ ··· − 11.6079u + 0.298903
−0.314122u
117
+ 0.483276u
116
+ ··· + 2.84214u + 1.06374
a
7
=
0.581121u
117
+ 1.03808u
116
+ ··· + 2.43549u + 3.53318
−0.0304212u
117
− 0.114438u
116
+ ··· − 0.972145u − 0.0476170
a
6
=
5.57154u
117
+ 11.8712u
116
+ ··· + 6.86687u + 2.11380
0.588302u
117
+ 2.34943u
116
+ ··· + 6.13446u + 1.92637
a
2
=
0.0709175u
117
+ 0.593978u
116
+ ··· + 14.3627u + 4.59643
−4.77232u
117
− 9.31946u
116
+ ··· − 14.1163u − 3.92537
(ii) Obstruction class = −1
(iii) Cusp Shapes = −26.8874u
117
− 59.6880u
116
+ ··· − 86.8976u − 21.2813
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
118
+ 38u
117
+ ··· − u + 1
c
2
, c
6
u
118
− 2u
117
+ ··· + u + 1
c
3
u
118
− 25u
116
+ ··· + 7258365u + 2866753
c
4
u
118
+ 4u
117
+ ··· + u + 1
c
7
u
118
+ 5u
117
+ ··· + 2784u + 576
c
8
u
118
+ 19u
117
+ ··· − 4u + 4
c
9
, c
12
u
118
− 3u
117
+ ··· − 4u + 1
c
10
u
118
+ 55u
116
+ ··· − 27u + 1
c
11
u
118
+ 2u
117
+ ··· + 125u + 71
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
118
+ 86y
117
+ ··· + 19y + 1
c
2
, c
6
y
118
+ 38y
117
+ ··· − y + 1
c
3
y
118
− 50y
117
+ ··· − 104190056801433y + 8218272763009
c
4
y
118
− 18y
117
+ ··· − y + 1
c
7
y
118
− 7y
117
+ ··· − 885888y + 331776
c
8
y
118
− 15y
117
+ ··· − 328y + 16
c
9
, c
12
y
118
− 73y
117
+ ··· − 56y + 1
c
10
y
118
+ 110y
117
+ ··· + 111y + 1
c
11
y
118
+ 118y
117
+ ··· + 457235y + 5041
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.015810 + 0.157426I
a = 0.38768 + 2.73647I
b = 0.200813 − 0.493241I
2.51659 − 1.87258I 0
u = 1.015810 − 0.157426I
a = 0.38768 − 2.73647I
b = 0.200813 + 0.493241I
2.51659 + 1.87258I 0
u = 1.029710 + 0.100243I
a = −0.41457 − 2.87329I
b = −0.156824 + 0.454000I
−3.63938 − 2.44452I 0
u = 1.029710 − 0.100243I
a = −0.41457 + 2.87329I
b = −0.156824 − 0.454000I
−3.63938 + 2.44452I 0
u = −1.005490 + 0.266284I
a = −0.135677 − 0.432659I
b = 0.79726 + 1.47486I
−3.26106 + 5.02325I 0
u = −1.005490 − 0.266284I
a = −0.135677 + 0.432659I
b = 0.79726 − 1.47486I
−3.26106 − 5.02325I 0
u = 0.952019 + 0.096599I
a = 0.59537 + 2.68269I
b = 0.238554 − 0.415806I
−0.414651 − 0.426041I 0
u = 0.952019 − 0.096599I
a = 0.59537 − 2.68269I
b = 0.238554 + 0.415806I
−0.414651 + 0.426041I 0
u = 1.032140 + 0.155438I
a = −0.36475 − 2.75274I
b = −0.188107 + 0.499728I
1.69795 − 7.60447I 0
u = 1.032140 − 0.155438I
a = −0.36475 + 2.75274I
b = −0.188107 − 0.499728I
1.69795 + 7.60447I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.269115 + 0.917004I
a = 0.690481 + 0.821341I
b = −0.687950 − 0.610525I
0.02840 − 6.52273I 0
u = 0.269115 − 0.917004I
a = 0.690481 − 0.821341I
b = −0.687950 + 0.610525I
0.02840 + 6.52273I 0
u = 1.054010 + 0.019013I
a = −0.14652 − 3.21044I
b = −0.035898 + 0.412481I
−1.29395 + 2.39044I 0
u = 1.054010 − 0.019013I
a = −0.14652 + 3.21044I
b = −0.035898 − 0.412481I
−1.29395 − 2.39044I 0
u = −0.901424 + 0.275075I
a = 0.180834 + 0.360431I
b = −0.63849 − 1.44278I
0.87326 + 2.58349I 0
u = −0.901424 − 0.275075I
a = 0.180834 − 0.360431I
b = −0.63849 + 1.44278I
0.87326 − 2.58349I 0
u = −1.011000 + 0.354373I
a = 0.195062 + 0.464782I
b = −0.79451 − 1.36116I
3.39364 + 5.11487I 0
u = −1.011000 − 0.354373I
a = 0.195062 − 0.464782I
b = −0.79451 + 1.36116I
3.39364 − 5.11487I 0
u = −0.915659 + 0.139482I
a = −0.074285 − 0.316118I
b = 0.55915 + 1.72946I
−1.30357 − 1.42343I 0
u = −0.915659 − 0.139482I
a = −0.074285 + 0.316118I
b = 0.55915 − 1.72946I
−1.30357 + 1.42343I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.081212 + 0.914425I
a = −0.736305 − 0.669805I
b = 0.676105 + 0.737768I
0.71208 − 1.59697I 0
u = −0.081212 − 0.914425I
a = −0.736305 + 0.669805I
b = 0.676105 − 0.737768I
0.71208 + 1.59697I 0
u = −0.307163 + 1.040230I
a = −0.652511 − 0.627322I
b = 0.735642 + 0.814176I
6.57483 + 2.25127I 0
u = −0.307163 − 1.040230I
a = −0.652511 + 0.627322I
b = 0.735642 − 0.814176I
6.57483 − 2.25127I 0
u = −1.037390 + 0.348408I
a = −0.183158 − 0.480234I
b = 0.82330 + 1.36488I
2.36107 + 10.94710I 0
u = −1.037390 − 0.348408I
a = −0.183158 + 0.480234I
b = 0.82330 − 1.36488I
2.36107 − 10.94710I 0
u = −0.281028 + 1.065350I
a = 0.654000 + 0.637762I
b = −0.741922 − 0.802911I
7.13113 − 3.56996I 0
u = −0.281028 − 1.065350I
a = 0.654000 − 0.637762I
b = −0.741922 + 0.802911I
7.13113 + 3.56996I 0
u = −0.136691 + 1.096460I
a = 0.670860 + 0.673006I
b = −0.743314 − 0.752149I
2.97882 − 4.69027I 0
u = −0.136691 − 1.096460I
a = 0.670860 − 0.673006I
b = −0.743314 + 0.752149I
2.97882 + 4.69027I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.091158 + 0.881469I
a = −0.752633 − 0.753611I
b = 0.665671 + 0.671736I
0.70380 − 1.66733I 0
u = 0.091158 − 0.881469I
a = −0.752633 + 0.753611I
b = 0.665671 − 0.671736I
0.70380 + 1.66733I 0
u = 0.861211 + 0.189114I
a = 0.40154 + 2.54454I
b = 0.315865 − 0.482426I
2.88518 + 0.60480I 0
u = 0.861211 − 0.189114I
a = 0.40154 − 2.54454I
b = 0.315865 + 0.482426I
2.88518 − 0.60480I 0
u = −0.721420 + 0.496127I
a = 0.410786 + 0.364333I
b = −0.601352 − 1.139610I
5.78853 + 2.01291I 0
u = −0.721420 − 0.496127I
a = 0.410786 − 0.364333I
b = −0.601352 + 1.139610I
5.78853 − 2.01291I 0
u = 0.506278 + 0.705306I
a = 0.592748 + 1.015280I
b = −0.640262 − 0.510338I
−3.48678 − 1.44357I 0
u = 0.506278 − 0.705306I
a = 0.592748 − 1.015280I
b = −0.640262 + 0.510338I
−3.48678 + 1.44357I 0
u = −0.667796 + 0.538503I
a = −0.463899 − 0.369387I
b = 0.597684 + 1.088240I
5.43264 − 3.77865I 0
u = −0.667796 − 0.538503I
a = −0.463899 + 0.369387I
b = 0.597684 − 1.088240I
5.43264 + 3.77865I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.832730 + 0.200752I
a = −0.37783 − 2.53219I
b = −0.332435 + 0.487767I
2.16607 + 6.31020I 0
u = 0.832730 − 0.200752I
a = −0.37783 + 2.53219I
b = −0.332435 − 0.487767I
2.16607 − 6.31020I 0
u = −0.071467 + 1.153040I
a = −0.663318 − 0.691443I
b = 0.759544 + 0.728954I
−0.63375 − 7.11494I 0
u = −0.071467 − 1.153040I
a = −0.663318 + 0.691443I
b = 0.759544 − 0.728954I
−0.63375 + 7.11494I 0
u = −0.739717 + 0.402979I
a = 1.04982 + 0.97694I
b = 1.209050 − 0.555868I
5.26103 + 7.71157I 0
u = −0.739717 − 0.402979I
a = 1.04982 − 0.97694I
b = 1.209050 + 0.555868I
5.26103 − 7.71157I 0
u = −0.819019 + 0.155283I
a = 0.971974 + 0.428416I
b = 1.54179 − 0.38616I
−1.21527 + 3.13767I 0
u = −0.819019 − 0.155283I
a = 0.971974 − 0.428416I
b = 1.54179 + 0.38616I
−1.21527 − 3.13767I 0
u = 0.869091 + 0.814784I
a = 0.361592 + 0.843929I
b = −0.723955 − 0.412630I
1.08187 + 3.26532I 0
u = 0.869091 − 0.814784I
a = 0.361592 − 0.843929I
b = −0.723955 + 0.412630I
1.08187 − 3.26532I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.134497 + 1.199770I
a = 0.650884 + 0.682691I
b = −0.776333 − 0.747087I
5.92086 − 6.76139I 0
u = −0.134497 − 1.199770I
a = 0.650884 − 0.682691I
b = −0.776333 + 0.747087I
5.92086 + 6.76139I 0
u = −0.691973 + 0.382009I
a = −1.15011 − 0.97644I
b = −1.188440 + 0.509019I
5.89343 + 1.77910I 0
u = −0.691973 − 0.382009I
a = −1.15011 + 0.97644I
b = −1.188440 − 0.509019I
5.89343 − 1.77910I 0
u = −1.177530 + 0.289452I
a = 0.406875 + 0.810978I
b = 1.35862 − 0.97721I
−2.97221 + 3.73297I 0
u = −1.177530 − 0.289452I
a = 0.406875 − 0.810978I
b = 1.35862 + 0.97721I
−2.97221 − 3.73297I 0
u = −0.118706 + 1.215020I
a = −0.649535 − 0.686282I
b = 0.780365 + 0.741648I
5.01785 − 12.58190I 0
u = −0.118706 − 1.215020I
a = −0.649535 + 0.686282I
b = 0.780365 − 0.741648I
5.01785 + 12.58190I 0
u = 0.939468 + 0.789903I
a = −0.317332 − 0.818773I
b = 0.728384 + 0.388427I
1.72076 − 2.34932I 0
u = 0.939468 − 0.789903I
a = −0.317332 + 0.818773I
b = 0.728384 − 0.388427I
1.72076 + 2.34932I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.209170 + 0.245411I
a = −0.352875 − 0.784326I
b = −1.36271 + 1.02924I
−4.28002 − 1.46660I 0
u = −1.209170 − 0.245411I
a = −0.352875 + 0.784326I
b = −1.36271 − 1.02924I
−4.28002 + 1.46660I 0
u = 0.757637 + 0.057261I
a = −0.32575 − 2.30952I
b = −0.385386 + 0.423671I
−2.99620 + 1.54111I 0
u = 0.757637 − 0.057261I
a = −0.32575 + 2.30952I
b = −0.385386 − 0.423671I
−2.99620 − 1.54111I 0
u = −1.263400 + 0.317800I
a = −0.339565 − 0.874731I
b = −1.29247 + 1.00765I
−8.36346 + 4.71709I 0
u = −1.263400 − 0.317800I
a = −0.339565 + 0.874731I
b = −1.29247 − 1.00765I
−8.36346 − 4.71709I 0
u = −1.246670 + 0.399816I
a = 0.381212 + 0.939591I
b = 1.26177 − 0.96422I
−3.32751 + 5.96754I 0
u = −1.246670 − 0.399816I
a = 0.381212 − 0.939591I
b = 1.26177 + 0.96422I
−3.32751 − 5.96754I 0
u = 1.308010 + 0.236023I
a = −0.240272 + 0.391280I
b = −0.675237 − 0.124696I
−2.69361 − 0.24186I 0
u = 1.308010 − 0.236023I
a = −0.240272 − 0.391280I
b = −0.675237 + 0.124696I
−2.69361 + 0.24186I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.209850 + 0.589213I
a = 0.436095 + 1.095500I
b = 1.17962 − 0.90925I
3.70942 + 3.52040I 0
u = −1.209850 − 0.589213I
a = 0.436095 − 1.095500I
b = 1.17962 + 0.90925I
3.70942 − 3.52040I 0
u = −1.298860 + 0.391525I
a = −0.335725 − 0.947097I
b = −1.24676 + 0.98990I
−4.69083 + 10.88950I 0
u = −1.298860 − 0.391525I
a = −0.335725 + 0.947097I
b = −1.24676 − 0.98990I
−4.69083 − 10.88950I 0
u = 1.190500 + 0.662977I
a = −0.165168 − 0.676017I
b = 0.744528 + 0.294187I
−1.86135 − 2.86516I 0
u = 1.190500 − 0.662977I
a = −0.165168 + 0.676017I
b = 0.744528 − 0.294187I
−1.86135 + 2.86516I 0
u = −1.229850 + 0.596223I
a = −0.420179 − 1.101220I
b = −1.17496 + 0.91728I
4.12415 + 9.43760I 0
u = −1.229850 − 0.596223I
a = −0.420179 + 1.101220I
b = −1.17496 − 0.91728I
4.12415 − 9.43760I 0
u = −1.298800 + 0.524744I
a = 0.362203 + 1.050490I
b = 1.19470 − 0.95471I
−3.09034 + 6.91109I 0
u = −1.298800 − 0.524744I
a = 0.362203 − 1.050490I
b = 1.19470 + 0.95471I
−3.09034 − 6.91109I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30319 + 0.57277I
a = −0.363552 − 1.086580I
b = −1.17601 + 0.94880I
−0.68664 + 10.56830I 0
u = −1.30319 − 0.57277I
a = −0.363552 + 1.086580I
b = −1.17601 − 0.94880I
−0.68664 − 10.56830I 0
u = −0.547763
a = −1.82067
b = −1.17013
1.89297 8.36850
u = −1.33836 + 0.57259I
a = 0.338441 + 1.089300I
b = 1.17117 − 0.96117I
−4.60882 + 13.13770I 0
u = −1.33836 − 0.57259I
a = 0.338441 − 1.089300I
b = 1.17117 + 0.96117I
−4.60882 − 13.13770I 0
u = −1.33512 + 0.60665I
a = −0.343160 − 1.112640I
b = −1.16021 + 0.95569I
2.12710 + 13.04790I 0
u = −1.33512 − 0.60665I
a = −0.343160 + 1.112640I
b = −1.16021 − 0.95569I
2.12710 − 13.04790I 0
u = 1.36618 + 0.55025I
a = 0.094893 + 0.523038I
b = −0.763644 − 0.223319I
−3.28110 + 0.44586I 0
u = 1.36618 − 0.55025I
a = 0.094893 − 0.523038I
b = −0.763644 + 0.223319I
−3.28110 − 0.44586I 0
u = −1.34560 + 0.60651I
a = 0.335999 + 1.113160I
b = 1.15904 − 0.95914I
1.1409 + 18.9106I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.34560 − 0.60651I
a = 0.335999 − 1.113160I
b = 1.15904 + 0.95914I
1.1409 − 18.9106I 0
u = 1.30477 + 0.71525I
a = 0.203861 + 0.593646I
b = −0.783863 − 0.279163I
−5.45211 − 4.88189I 0
u = 1.30477 − 0.71525I
a = 0.203861 − 0.593646I
b = −0.783863 + 0.279163I
−5.45211 + 4.88189I 0
u = 1.25456 + 0.80041I
a = −0.256727 − 0.626353I
b = 0.791903 + 0.309346I
0.76439 − 4.56010I 0
u = 1.25456 − 0.80041I
a = −0.256727 + 0.626353I
b = 0.791903 − 0.309346I
0.76439 + 4.56010I 0
u = 1.44617 + 0.44415I
a = −0.046547 − 0.422137I
b = 0.766830 + 0.175809I
−3.50011 − 4.05313I 0
u = 1.44617 − 0.44415I
a = −0.046547 + 0.422137I
b = 0.766830 − 0.175809I
−3.50011 + 4.05313I 0
u = 1.28308 + 0.80664I
a = 0.259937 + 0.609495I
b = −0.799316 − 0.304270I
−0.12251 − 10.28450I 0
u = 1.28308 − 0.80664I
a = 0.259937 − 0.609495I
b = −0.799316 + 0.304270I
−0.12251 + 10.28450I 0
u = −0.283331 + 0.365958I
a = −1.89931 − 1.77238I
b = −0.856366 + 0.377788I
5.29542 − 1.89909I 5.77474 − 1.14352I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.283331 − 0.365958I
a = −1.89931 + 1.77238I
b = −0.856366 − 0.377788I
5.29542 + 1.89909I 5.77474 + 1.14352I
u = −0.242525 + 0.384233I
a = 1.86328 + 1.93677I
b = 0.824641 − 0.392540I
4.46807 − 7.74602I 4.03411 + 3.90401I
u = −0.242525 − 0.384233I
a = 1.86328 − 1.93677I
b = 0.824641 + 0.392540I
4.46807 + 7.74602I 4.03411 − 3.90401I
u = 1.52175 + 0.29164I
a = 0.002981 − 0.278462I
b = 0.768917 + 0.113049I
−6.23740 + 1.19915I 0
u = 1.52175 − 0.29164I
a = 0.002981 + 0.278462I
b = 0.768917 − 0.113049I
−6.23740 − 1.19915I 0
u = 1.58291 + 0.16873I
a = −0.005354 + 0.153580I
b = −0.779064 − 0.062993I
−0.396545 + 0.829721I 0
u = 1.58291 − 0.16873I
a = −0.005354 − 0.153580I
b = −0.779064 + 0.062993I
−0.396545 − 0.829721I 0
u = −0.400507
a = −2.48892
b = −0.983507
1.89645 7.34120
u = 1.60558 + 0.20241I
a = −0.023615 − 0.173894I
b = 0.789565 + 0.073334I
−1.22456 + 6.46109I 0
u = 1.60558 − 0.20241I
a = −0.023615 + 0.173894I
b = 0.789565 − 0.073334I
−1.22456 − 6.46109I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.049857 + 0.375700I
a = −1.42763 − 0.44078I
b = 0.412152 + 0.687938I
0.236053 − 1.263220I 2.77957 + 4.87921I
u = −0.049857 − 0.375700I
a = −1.42763 + 0.44078I
b = 0.412152 − 0.687938I
0.236053 + 1.263220I 2.77957 − 4.87921I
u = 0.344749 + 0.071658I
a = 0.37116 − 3.05567I
b = −0.460452 + 0.450709I
0.10228 − 2.99479I −1.46599 + 2.14432I
u = 0.344749 − 0.071658I
a = 0.37116 + 3.05567I
b = −0.460452 − 0.450709I
0.10228 + 2.99479I −1.46599 − 2.14432I
u = −0.150353 + 0.230107I
a = 2.76365 + 2.39774I
b = 0.727149 − 0.276598I
−1.28119 − 2.58393I −1.57512 + 2.81813I
u = −0.150353 − 0.230107I
a = 2.76365 − 2.39774I
b = 0.727149 + 0.276598I
−1.28119 + 2.58393I −1.57512 − 2.81813I
u = 0.179612 + 0.093018I
a = −0.35158 + 4.28461I
b = 0.463286 − 0.401306I
0.40695 + 1.93439I −0.33283 − 3.61891I
u = 0.179612 − 0.093018I
a = −0.35158 − 4.28461I
b = 0.463286 + 0.401306I
0.40695 − 1.93439I −0.33283 + 3.61891I
16
II. I
u
2
= hb + a + 1, a
2
+ a + 1, u − 1i
(i) Arc colorings
a
9
=
1
0
a
12
=
0
1
a
10
=
1
1
a
1
=
−1
0
a
5
=
a
−a − 1
a
4
=
−1
−a − 1
a
11
=
a + 1
0
a
8
=
1
0
a
3
=
a
−a − 1
a
7
=
1
0
a
6
=
2a + 1
−a − 1
a
2
=
−2
−a
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4a − 1
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
6
, c
10
c
11
u
2
− u + 1
c
2
u
2
+ u + 1
c
7
, c
8
u
2
c
9
(u − 1)
2
c
12
(u + 1)
2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
10
, c
11
y
2
+ y + 1
c
7
, c
8
y
2
c
9
, c
12
(y −1)
2
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.500000 + 0.866025I
b = −0.500000 − 0.866025I
−1.64493 − 2.02988I −3.00000 + 3.46410I
u = 1.00000
a = −0.500000 − 0.866025I
b = −0.500000 + 0.866025I
−1.64493 + 2.02988I −3.00000 − 3.46410I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
(u
2
− u + 1)(u
118
+ 38u
117
+ ··· − u + 1)
c
2
(u
2
+ u + 1)(u
118
− 2u
117
+ ··· + u + 1)
c
3
(u
2
− u + 1)(u
118
− 25u
116
+ ··· + 7258365u + 2866753)
c
4
(u
2
− u + 1)(u
118
+ 4u
117
+ ··· + u + 1)
c
6
(u
2
− u + 1)(u
118
− 2u
117
+ ··· + u + 1)
c
7
u
2
(u
118
+ 5u
117
+ ··· + 2784u + 576)
c
8
u
2
(u
118
+ 19u
117
+ ··· − 4u + 4)
c
9
((u − 1)
2
)(u
118
− 3u
117
+ ··· − 4u + 1)
c
10
(u
2
− u + 1)(u
118
+ 55u
116
+ ··· − 27u + 1)
c
11
(u
2
− u + 1)(u
118
+ 2u
117
+ ··· + 125u + 71)
c
12
((u + 1)
2
)(u
118
− 3u
117
+ ··· − 4u + 1)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
2
+ y + 1)(y
118
+ 86y
117
+ ··· + 19y + 1)
c
2
, c
6
(y
2
+ y + 1)(y
118
+ 38y
117
+ ··· − y + 1)
c
3
(y
2
+ y + 1)
· (y
118
− 50y
117
+ ··· − 104190056801433y + 8218272763009)
c
4
(y
2
+ y + 1)(y
118
− 18y
117
+ ··· − y + 1)
c
7
y
2
(y
118
− 7y
117
+ ··· − 885888y + 331776)
c
8
y
2
(y
118
− 15y
117
+ ··· − 328y + 16)
c
9
, c
12
((y −1)
2
)(y
118
− 73y
117
+ ··· − 56y + 1)
c
10
(y
2
+ y + 1)(y
118
+ 110y
117
+ ··· + 111y + 1)
c
11
(y
2
+ y + 1)(y
118
+ 118y
117
+ ··· + 457235y + 5041)
22
