11a
290
(K11a
290
)
A knot diagram
1
Linearized knot diagam
6 9 1 7 2 10 11 3 5 4 8
Solving Sequence
2,9 3,6
1 4 5 10 8 11 7
c
2
c
1
c
3
c
5
c
9
c
8
c
11
c
7
c
4
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.37582 × 10
277
u
85
+ 1.96137 × 10
278
u
84
+ ··· + 1.50205 × 10
280
b + 1.64826 × 10
280
,
− 9.79158 × 10
279
u
85
+ 4.00194 × 10
280
u
84
+ ··· + 2.71871 × 10
282
a + 2.80758 × 10
282
,
u
86
− 3u
85
+ ··· + 1252u + 181i
I
u
2
= h2984u
15
+ 8425u
14
+ ··· + 8374b − 4575, −28033u
15
− 151872u
14
+ ··· + 159106a + 94137,
u
16
+ 4u
15
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 102 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−5.38 × 10
277
u
85
+ 1.96 × 10
278
u
84
+ · · · + 1.50 × 10
280
b + 1.65 ×
10
280
, −9.79 × 10
279
u
85
+ 4.00 × 10
280
u
84
+ · · · + 2.72 × 10
282
a + 2.81 ×
10
282
, u
86
− 3u
85
+ · · · + 1252u + 181i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
−u
2
a
6
=
0.00360156u
85
− 0.0147200u
84
+ ··· − 21.7698u − 1.03269
0.00357899u
85
− 0.0130580u
84
+ ··· − 9.94894u − 1.09735
a
1
=
0.0110795u
85
− 0.00313808u
84
+ ··· − 9.57734u + 0.460705
0.0148192u
85
− 0.0206209u
84
+ ··· + 24.7475u + 3.74548
a
4
=
−0.00535817u
85
+ 0.0164595u
84
+ ··· + 31.0765u + 3.73032
0.00748731u
85
− 0.0280075u
84
+ ··· − 23.3642u − 3.54432
a
5
=
0.0000225642u
85
− 0.00166203u
84
+ ··· − 11.8208u + 0.0646558
0.00357899u
85
− 0.0130580u
84
+ ··· − 9.94894u − 1.09735
a
10
=
0.00480532u
85
− 0.00440844u
84
+ ··· + 41.7070u + 5.30239
0.00626377u
85
− 0.0151027u
84
+ ··· + 1.39732u + 0.676884
a
8
=
−u
u
3
+ u
a
11
=
0.00788554u
85
− 0.0135049u
84
+ ··· − 24.0195u − 1.63228
0.00703857u
85
− 0.00686933u
84
+ ··· + 13.6359u + 2.22777
a
7
=
−0.00149491u
85
− 0.0103635u
84
+ ··· − 63.8971u − 7.88042
−0.0199005u
85
+ 0.0905386u
84
+ ··· + 16.1319u + 2.96059
a
7
=
−0.00149491u
85
− 0.0103635u
84
+ ··· − 63.8971u − 7.88042
−0.0199005u
85
+ 0.0905386u
84
+ ··· + 16.1319u + 2.96059
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0176283u
85
+ 0.178110u
84
+ ··· + 296.326u + 45.8239
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
86
+ 28u
84
+ ··· + 558u + 43
c
2
, c
8
u
86
− 3u
85
+ ··· + 1252u + 181
c
3
u
86
− 10u
85
+ ··· − 377377u + 57122
c
4
u
86
+ 9u
85
+ ··· + 6249u + 722
c
6
u
86
− 2u
85
+ ··· + 31u + 1
c
7
, c
11
u
86
− 2u
85
+ ··· + 15u + 1
c
9
u
86
+ 18u
84
+ ··· + 257661u + 27211
c
10
u
86
− 2u
85
+ ··· − 11u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
86
+ 56y
85
+ ··· + 192768y + 1849
c
2
, c
8
y
86
+ 67y
85
+ ··· + 1561986y + 32761
c
3
y
86
− 40y
85
+ ··· − 106949549161y + 3262922884
c
4
y
86
+ 21y
85
+ ··· + 18203155y + 521284
c
6
y
86
+ 2y
85
+ ··· − 173y + 1
c
7
, c
11
y
86
− 70y
85
+ ··· + 163y + 1
c
9
y
86
+ 36y
85
+ ··· − 1107389665y + 740438521
c
10
y
86
− 18y
85
+ ··· − 43y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.273563 + 0.969299I
a = −0.558541 − 0.791320I
b = −0.750237 − 0.353855I
−1.75556 + 2.96398I 0
u = 0.273563 − 0.969299I
a = −0.558541 + 0.791320I
b = −0.750237 + 0.353855I
−1.75556 − 2.96398I 0
u = −0.791405 + 0.487265I
a = −1.249760 + 0.001637I
b = 0.176471 − 0.796902I
−2.76919 + 0.86190I 0
u = −0.791405 − 0.487265I
a = −1.249760 − 0.001637I
b = 0.176471 + 0.796902I
−2.76919 − 0.86190I 0
u = 1.058500 + 0.166799I
a = 0.195269 − 0.257088I
b = −0.384724 − 1.167240I
−0.44655 + 6.40335I 0
u = 1.058500 − 0.166799I
a = 0.195269 + 0.257088I
b = −0.384724 + 1.167240I
−0.44655 − 6.40335I 0
u = 0.433257 + 0.809408I
a = −0.481754 − 0.210140I
b = −0.184332 + 0.437485I
0.18140 + 1.93771I 0
u = 0.433257 − 0.809408I
a = −0.481754 + 0.210140I
b = −0.184332 − 0.437485I
0.18140 − 1.93771I 0
u = 0.822552 + 0.231435I
a = 0.584539 + 0.759190I
b = −0.725573 + 0.219124I
−1.52512 + 6.90858I 0
u = 0.822552 − 0.231435I
a = 0.584539 − 0.759190I
b = −0.725573 − 0.219124I
−1.52512 − 6.90858I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.054741 + 1.153840I
a = −0.24301 + 2.56854I
b = −0.119574 + 1.052110I
−1.32630 − 3.41399I 0
u = −0.054741 − 1.153840I
a = −0.24301 − 2.56854I
b = −0.119574 − 1.052110I
−1.32630 + 3.41399I 0
u = 0.079218 + 1.178320I
a = −0.012899 − 0.520620I
b = −0.729471 − 0.142215I
−2.46468 + 1.92737I 0
u = 0.079218 − 1.178320I
a = −0.012899 + 0.520620I
b = −0.729471 + 0.142215I
−2.46468 − 1.92737I 0
u = −0.526037 + 1.072220I
a = −0.072054 + 0.352626I
b = −0.200801 − 0.661210I
−4.76421 − 5.78091I 0
u = −0.526037 − 1.072220I
a = −0.072054 − 0.352626I
b = −0.200801 + 0.661210I
−4.76421 + 5.78091I 0
u = −0.796875 + 0.085423I
a = −0.340912 − 0.000196I
b = 0.088188 + 1.153450I
−2.78970 + 1.91473I 0. − 3.13596I
u = −0.796875 − 0.085423I
a = −0.340912 + 0.000196I
b = 0.088188 − 1.153450I
−2.78970 − 1.91473I 0. + 3.13596I
u = 0.674546 + 0.412385I
a = −1.71045 − 0.61869I
b = 0.414687 − 0.836442I
−3.09982 − 3.89257I 0. + 7.60203I
u = 0.674546 − 0.412385I
a = −1.71045 + 0.61869I
b = 0.414687 + 0.836442I
−3.09982 + 3.89257I 0. − 7.60203I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.029748 + 1.211970I
a = −0.776818 − 0.475869I
b = −1.251790 − 0.400798I
−1.72544 + 2.47755I 0
u = 0.029748 − 1.211970I
a = −0.776818 + 0.475869I
b = −1.251790 + 0.400798I
−1.72544 − 2.47755I 0
u = −0.714002 + 0.312630I
a = −0.466193 − 0.747453I
b = 0.472121 − 1.150990I
−2.08518 − 4.50257I 1.84178 + 8.26392I
u = −0.714002 − 0.312630I
a = −0.466193 + 0.747453I
b = 0.472121 + 1.150990I
−2.08518 + 4.50257I 1.84178 − 8.26392I
u = −0.159848 + 1.234050I
a = 0.529862 − 0.023389I
b = 1.371900 + 0.103900I
−1.05879 − 4.77375I 0
u = −0.159848 − 1.234050I
a = 0.529862 + 0.023389I
b = 1.371900 − 0.103900I
−1.05879 + 4.77375I 0
u = 0.538060 + 0.526043I
a = −0.678151 + 0.085231I
b = 0.416327 + 0.832614I
0.75640 + 1.97088I 6.98873 − 3.30851I
u = 0.538060 − 0.526043I
a = −0.678151 − 0.085231I
b = 0.416327 − 0.832614I
0.75640 − 1.97088I 6.98873 + 3.30851I
u = 0.246587 + 1.249730I
a = 0.32583 − 2.92544I
b = −0.113725 − 1.064060I
−5.93474 + 7.14233I 0
u = 0.246587 − 1.249730I
a = 0.32583 + 2.92544I
b = −0.113725 + 1.064060I
−5.93474 − 7.14233I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.714469 + 0.107760I
a = −0.789250 + 0.825546I
b = −0.0426813 − 0.1283240I
−2.61985 + 1.17605I 1.036569 − 0.187938I
u = −0.714469 − 0.107760I
a = −0.789250 − 0.825546I
b = −0.0426813 + 0.1283240I
−2.61985 − 1.17605I 1.036569 + 0.187938I
u = 0.078198 + 1.275430I
a = 1.13726 − 2.18042I
b = −0.354521 − 1.348510I
−10.13010 + 5.46901I 0
u = 0.078198 − 1.275430I
a = 1.13726 + 2.18042I
b = −0.354521 + 1.348510I
−10.13010 − 5.46901I 0
u = −0.176487 + 1.270570I
a = 0.036238 − 0.305363I
b = 1.043670 − 0.552437I
−6.11732 − 3.95002I 0
u = −0.176487 − 1.270570I
a = 0.036238 + 0.305363I
b = 1.043670 + 0.552437I
−6.11732 + 3.95002I 0
u = −0.179144 + 1.277070I
a = −0.26902 − 1.57349I
b = 0.83796 − 1.48737I
−8.41301 − 3.69610I 0
u = −0.179144 − 1.277070I
a = −0.26902 + 1.57349I
b = 0.83796 + 1.48737I
−8.41301 + 3.69610I 0
u = −0.261605 + 1.326890I
a = −0.44168 − 1.72698I
b = 0.31957 − 1.56887I
−7.29801 − 1.70122I 0
u = −0.261605 − 1.326890I
a = −0.44168 + 1.72698I
b = 0.31957 + 1.56887I
−7.29801 + 1.70122I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.378360 + 1.326520I
a = 0.87070 + 1.64004I
b = −0.428512 + 1.305690I
−6.77744 − 6.30203I 0
u = −0.378360 − 1.326520I
a = 0.87070 − 1.64004I
b = −0.428512 − 1.305690I
−6.77744 + 6.30203I 0
u = −1.280750 + 0.519114I
a = 0.389301 + 0.640771I
b = −0.414651 + 1.174810I
−4.46055 − 11.18420I 0
u = −1.280750 − 0.519114I
a = 0.389301 − 0.640771I
b = −0.414651 − 1.174810I
−4.46055 + 11.18420I 0
u = −0.019101 + 1.401050I
a = −0.23552 + 1.78688I
b = 0.43425 + 1.53897I
−12.14740 − 4.74643I 0
u = −0.019101 − 1.401050I
a = −0.23552 − 1.78688I
b = 0.43425 − 1.53897I
−12.14740 + 4.74643I 0
u = −0.148079 + 1.400730I
a = 1.12074 + 1.42376I
b = −0.110874 + 1.089880I
−9.95220 − 0.65712I 0
u = −0.148079 − 1.400730I
a = 1.12074 − 1.42376I
b = −0.110874 − 1.089880I
−9.95220 + 0.65712I 0
u = 0.18402 + 1.40665I
a = 0.18310 − 1.74200I
b = −0.62071 − 1.36597I
−5.12935 + 4.31635I 0
u = 0.18402 − 1.40665I
a = 0.18310 + 1.74200I
b = −0.62071 + 1.36597I
−5.12935 − 4.31635I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.35726 + 1.39065I
a = 0.0345880 + 0.0824053I
b = −0.833294 − 0.003827I
−7.36616 − 3.03836I 0
u = −0.35726 − 1.39065I
a = 0.0345880 − 0.0824053I
b = −0.833294 + 0.003827I
−7.36616 + 3.03836I 0
u = 0.32019 + 1.40690I
a = 0.394902 + 0.096675I
b = 1.225800 − 0.072859I
−6.75829 + 10.98080I 0
u = 0.32019 − 1.40690I
a = 0.394902 − 0.096675I
b = 1.225800 + 0.072859I
−6.75829 − 10.98080I 0
u = −0.27512 + 1.42570I
a = 0.39471 + 2.11603I
b = −0.47939 + 1.46461I
−7.64272 − 8.09055I 0
u = −0.27512 − 1.42570I
a = 0.39471 − 2.11603I
b = −0.47939 − 1.46461I
−7.64272 + 8.09055I 0
u = 0.26743 + 1.43796I
a = −0.124019 + 0.837964I
b = −0.585323 + 0.305477I
−5.18226 − 1.85610I 0
u = 0.26743 − 1.43796I
a = −0.124019 − 0.837964I
b = −0.585323 − 0.305477I
−5.18226 + 1.85610I 0
u = 0.531703 + 0.023026I
a = −0.668608 + 0.076796I
b = 0.677470 + 0.043888I
1.105700 + 0.002392I 9.73011 + 0.07496I
u = 0.531703 − 0.023026I
a = −0.668608 − 0.076796I
b = 0.677470 − 0.043888I
1.105700 − 0.002392I 9.73011 − 0.07496I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.42393 + 1.40684I
a = −0.49693 + 1.62111I
b = 0.60345 + 1.42770I
−5.44322 + 11.59020I 0
u = 0.42393 − 1.40684I
a = −0.49693 − 1.62111I
b = 0.60345 − 1.42770I
−5.44322 − 11.59020I 0
u = −0.491963 + 0.128609I
a = 0.55174 + 1.79794I
b = −0.674909 + 0.297545I
2.29978 + 2.36466I 8.84869 − 2.14342I
u = −0.491963 − 0.128609I
a = 0.55174 − 1.79794I
b = −0.674909 − 0.297545I
2.29978 − 2.36466I 8.84869 + 2.14342I
u = −0.62650 + 1.36361I
a = −0.39539 − 1.41576I
b = −0.109699 − 1.037280I
−3.91481 − 0.17244I 0
u = −0.62650 − 1.36361I
a = −0.39539 + 1.41576I
b = −0.109699 + 1.037280I
−3.91481 + 0.17244I 0
u = 0.00350 + 1.52364I
a = 0.358278 + 1.317200I
b = −0.550954 + 1.178570I
−10.65740 − 1.60329I 0
u = 0.00350 − 1.52364I
a = 0.358278 − 1.317200I
b = −0.550954 − 1.178570I
−10.65740 + 1.60329I 0
u = −0.439430 + 0.147669I
a = −1.44145 + 1.37928I
b = −0.363451 − 1.148080I
−4.80669 + 1.43419I −5.07531 − 5.47709I
u = −0.439430 − 0.147669I
a = −1.44145 − 1.37928I
b = −0.363451 + 1.148080I
−4.80669 − 1.43419I −5.07531 + 5.47709I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.086601 + 0.438946I
a = −1.329560 + 0.007199I
b = 0.590173 + 0.816881I
0.92382 + 2.38456I 6.67469 + 4.68387I
u = −0.086601 − 0.438946I
a = −1.329560 − 0.007199I
b = 0.590173 − 0.816881I
0.92382 − 2.38456I 6.67469 − 4.68387I
u = −0.47210 + 1.56780I
a = −0.51576 − 1.61493I
b = 0.59006 − 1.38905I
−10.9523 − 17.3442I 0
u = −0.47210 − 1.56780I
a = −0.51576 + 1.61493I
b = 0.59006 + 1.38905I
−10.9523 + 17.3442I 0
u = 0.45071 + 1.62342I
a = −0.35003 + 1.51866I
b = 0.30166 + 1.40852I
−12.3927 + 8.1607I 0
u = 0.45071 − 1.62342I
a = −0.35003 − 1.51866I
b = 0.30166 − 1.40852I
−12.3927 − 8.1607I 0
u = 0.59453 + 1.60446I
a = 0.62690 − 1.41851I
b = −0.464293 − 1.266200I
−11.17030 + 7.76159I 0
u = 0.59453 − 1.60446I
a = 0.62690 + 1.41851I
b = −0.464293 + 1.266200I
−11.17030 − 7.76159I 0
u = −0.102691 + 0.229037I
a = 0.30517 − 2.13509I
b = 0.898880 − 0.683918I
1.09250 − 2.96405I 12.5613 + 9.8421I
u = −0.102691 − 0.229037I
a = 0.30517 + 2.13509I
b = 0.898880 + 0.683918I
1.09250 + 2.96405I 12.5613 − 9.8421I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.077135 + 0.222987I
a = 3.84908 + 2.69551I
b = 0.003349 − 1.290410I
−6.67412 − 4.74942I −4.72582 + 5.55088I
u = 0.077135 − 0.222987I
a = 3.84908 − 2.69551I
b = 0.003349 + 1.290410I
−6.67412 + 4.74942I −4.72582 − 5.55088I
u = 0.66832 + 1.87320I
a = 0.324156 − 1.096740I
b = −0.045174 − 1.060190I
−4.31969 + 0.37021I 0
u = 0.66832 − 1.87320I
a = 0.324156 + 1.096740I
b = −0.045174 + 1.060190I
−4.31969 − 0.37021I 0
u = 2.79686 + 0.72592I
a = −0.106036 + 0.931168I
b = 0.072665 + 1.004210I
−4.97029 − 0.39838I 0
u = 2.79686 − 0.72592I
a = −0.106036 − 0.931168I
b = 0.072665 − 1.004210I
−4.97029 + 0.39838I 0
13
II. I
u
2
= h2984u
15
+ 8425u
14
+ · · · + 8374b − 4575, −2.80 × 10
4
u
15
− 1.52 ×
10
5
u
14
+ · · · + 1.59 × 10
5
a + 9.41 × 10
4
, u
16
+ 4u
15
+ · · · − 3u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
−u
2
a
6
=
0.176191u
15
+ 0.954533u
14
+ ··· − 2.25062u − 0.591662
−0.356341u
15
− 1.00609u
14
+ ··· − 5.13566u + 0.546334
a
1
=
0.106652u
15
+ 0.802999u
14
+ ··· + 2.04999u − 0.149856
−0.339981u
15
− 1.42823u
14
+ ··· + 5.00060u − 1.61464
a
4
=
0.137644u
15
+ 0.420336u
14
+ ··· + 1.85401u − 0.285571
−0.808021u
15
− 3.10940u
14
+ ··· − 5.07303u + 0.205354
a
5
=
0.532532u
15
+ 1.96062u
14
+ ··· + 2.88504u − 1.13800
−0.356341u
15
− 1.00609u
14
+ ··· − 5.13566u + 0.546334
a
10
=
−0.352928u
15
− 1.82485u
14
+ ··· + 1.72757u − 2.98321
0.444697u
15
+ 1.82824u
14
+ ··· + 2.80468u − 0.446633
a
8
=
−u
u
3
+ u
a
11
=
0.763711u
15
+ 3.26176u
14
+ ··· + 2.51728u − 0.476437
−0.565849u
15
− 2.48415u
14
+ ··· + 5.69879u − 1.45754
a
7
=
−0.894335u
15
− 4.06800u
14
+ ··· − 5.46111u + 1.11283
−0.471126u
15
− 1.42425u
14
+ ··· − 4.53190u + 0.730689
a
7
=
−0.894335u
15
− 4.06800u
14
+ ··· − 5.46111u + 1.11283
−0.471126u
15
− 1.42425u
14
+ ··· − 4.53190u + 0.730689
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
369566
79553
u
15
−
2837157
159106
u
14
+ ··· −
3511991
79553
u +
872049
159106
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
16
− u
15
+ ··· + 3u + 1
c
2
u
16
+ 4u
15
+ ··· − 3u + 1
c
3
u
16
+ 3u
15
+ ··· − 6u + 1
c
4
u
16
+ 2u
15
+ ··· − u + 1
c
5
u
16
+ u
15
+ ··· − 3u + 1
c
6
u
16
− 3u
15
+ ··· − 2u + 1
c
7
u
16
+ 3u
15
+ ··· − 4u + 3
c
8
u
16
− 4u
15
+ ··· + 3u + 1
c
9
u
16
+ u
15
+ ··· − 2u + 1
c
10
u
16
− 3u
15
+ ··· + 4u + 1
c
11
u
16
− 3u
15
+ ··· + 4u + 3
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
16
+ 7y
15
+ ··· + 9y + 1
c
2
, c
8
y
16
+ 6y
15
+ ··· + 11y + 1
c
3
y
16
− 13y
15
+ ··· − 34y + 1
c
4
y
16
+ 14y
14
+ ··· + 9y + 1
c
6
y
16
+ y
15
+ ··· − 8y + 1
c
7
, c
11
y
16
− 15y
15
+ ··· − 52y + 9
c
9
y
16
− y
15
+ ··· + 8y + 1
c
10
y
16
− 11y
15
+ ··· + 6y + 1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.378111 + 0.978487I
a = −0.666529 − 0.994815I
b = −0.073329 + 0.541610I
−4.37357 − 6.52510I 1.74145 + 8.04405I
u = −0.378111 − 0.978487I
a = −0.666529 + 0.994815I
b = −0.073329 − 0.541610I
−4.37357 + 6.52510I 1.74145 − 8.04405I
u = −0.018830 + 1.228110I
a = 0.672213 − 0.674390I
b = 1.228670 − 0.432911I
−1.77120 − 2.90292I 2.29428 + 12.81390I
u = −0.018830 − 1.228110I
a = 0.672213 + 0.674390I
b = 1.228670 + 0.432911I
−1.77120 + 2.90292I 2.29428 − 12.81390I
u = 0.132204 + 0.702423I
a = −0.397911 + 0.658860I
b = −0.487953 − 0.407538I
0.59940 + 2.95194I 3.83398 − 7.26920I
u = 0.132204 − 0.702423I
a = −0.397911 − 0.658860I
b = −0.487953 + 0.407538I
0.59940 − 2.95194I 3.83398 + 7.26920I
u = −0.179458 + 1.283900I
a = −0.45896 − 1.46838I
b = 0.73097 − 1.35093I
−8.08336 − 3.63657I 2.99708 + 2.92692I
u = −0.179458 − 1.283900I
a = −0.45896 + 1.46838I
b = 0.73097 + 1.35093I
−8.08336 + 3.63657I 2.99708 − 2.92692I
u = 0.352631 + 1.343290I
a = −0.77131 + 2.08744I
b = 0.33437 + 1.38072I
−8.53798 + 7.71046I −6.07633 − 6.67688I
u = 0.352631 − 1.343290I
a = −0.77131 − 2.08744I
b = 0.33437 − 1.38072I
−8.53798 − 7.71046I −6.07633 + 6.67688I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.021984 + 0.564934I
a = 0.165428 − 0.113303I
b = −0.761615 − 0.708206I
0.61323 + 2.78453I −4.10721 − 5.83574I
u = −0.021984 − 0.564934I
a = 0.165428 + 0.113303I
b = −0.761615 + 0.708206I
0.61323 − 2.78453I −4.10721 + 5.83574I
u = 0.336771 + 0.246995I
a = −0.41990 − 3.30846I
b = −0.425355 − 0.816659I
−3.30428 + 2.37215I −2.07418 − 4.57437I
u = 0.336771 − 0.246995I
a = −0.41990 + 3.30846I
b = −0.425355 + 0.816659I
−3.30428 − 2.37215I −2.07418 + 4.57437I
u = −2.22322 + 1.25773I
a = −0.123030 − 0.853242I
b = −0.045764 − 1.056210I
−4.75104 − 0.34808I −9.6091 − 17.4795I
u = −2.22322 − 1.25773I
a = −0.123030 + 0.853242I
b = −0.045764 + 1.056210I
−4.75104 + 0.34808I −9.6091 + 17.4795I
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
16
− u
15
+ ··· + 3u + 1)(u
86
+ 28u
84
+ ··· + 558u + 43)
c
2
(u
16
+ 4u
15
+ ··· − 3u + 1)(u
86
− 3u
85
+ ··· + 1252u + 181)
c
3
(u
16
+ 3u
15
+ ··· − 6u + 1)(u
86
− 10u
85
+ ··· − 377377u + 57122)
c
4
(u
16
+ 2u
15
+ ··· − u + 1)(u
86
+ 9u
85
+ ··· + 6249u + 722)
c
5
(u
16
+ u
15
+ ··· − 3u + 1)(u
86
+ 28u
84
+ ··· + 558u + 43)
c
6
(u
16
− 3u
15
+ ··· − 2u + 1)(u
86
− 2u
85
+ ··· + 31u + 1)
c
7
(u
16
+ 3u
15
+ ··· − 4u + 3)(u
86
− 2u
85
+ ··· + 15u + 1)
c
8
(u
16
− 4u
15
+ ··· + 3u + 1)(u
86
− 3u
85
+ ··· + 1252u + 181)
c
9
(u
16
+ u
15
+ ··· − 2u + 1)(u
86
+ 18u
84
+ ··· + 257661u + 27211)
c
10
(u
16
− 3u
15
+ ··· + 4u + 1)(u
86
− 2u
85
+ ··· − 11u + 1)
c
11
(u
16
− 3u
15
+ ··· + 4u + 3)(u
86
− 2u
85
+ ··· + 15u + 1)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
16
+ 7y
15
+ ··· + 9y + 1)(y
86
+ 56y
85
+ ··· + 192768y + 1849)
c
2
, c
8
(y
16
+ 6y
15
+ ··· + 11y + 1)(y
86
+ 67y
85
+ ··· + 1561986y + 32761)
c
3
(y
16
− 13y
15
+ ··· − 34y + 1)
· (y
86
− 40y
85
+ ··· − 106949549161y + 3262922884)
c
4
(y
16
+ 14y
14
+ ··· + 9y + 1)
· (y
86
+ 21y
85
+ ··· + 18203155y + 521284)
c
6
(y
16
+ y
15
+ ··· − 8y + 1)(y
86
+ 2y
85
+ ··· − 173y + 1)
c
7
, c
11
(y
16
− 15y
15
+ ··· − 52y + 9)(y
86
− 70y
85
+ ··· + 163y + 1)
c
9
(y
16
− y
15
+ ··· + 8y + 1)
· (y
86
+ 36y
85
+ ··· − 1107389665y + 740438521)
c
10
(y
16
− 11y
15
+ ··· + 6y + 1)(y
86
− 18y
85
+ ··· − 43y + 1)
20
