12n
0534
(K12n
0534
)
A knot diagram
1
Linearized knot diagam
3 5 11 12 2 10 5 4 7 3 9 8
Solving Sequence
4,12 5,9
8 1 7 11 3 2 6 10
c
4
c
8
c
12
c
7
c
11
c
3
c
2
c
5
c
10
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.69906 × 10
250
u
76
− 1.26904 × 10
251
u
75
+ ··· + 6.74175 × 10
250
b − 1.48767 × 10
251
,
− 2.19520 × 10
251
u
76
− 8.95593 × 10
251
u
75
+ ··· + 6.74175 × 10
250
a − 1.13911 × 10
252
,
u
77
+ 4u
76
+ ··· + 14u + 1i
I
u
2
= h−9.09164 × 10
21
u
22
+ 3.04025 × 10
21
u
21
+ ··· + 1.47737 × 10
22
b + 1.58364 × 10
22
,
− 1.26080 × 10
22
u
22
+ 3.40886 × 10
22
u
21
+ ··· + 7.38683 × 10
22
a − 5.26178 × 10
22
, u
23
− u
22
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 100 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−3.70 × 10
250
u
76
− 1.27 × 10
251
u
75
+ · · · + 6.74 × 10
250
b − 1.49 ×
10
251
, −2.20 × 10
251
u
76
− 8.96 × 10
251
u
75
+ · · · + 6.74 × 10
250
a − 1.14 ×
10
252
, u
77
+ 4u
76
+ · · · + 14u + 1i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
9
=
3.25613u
76
+ 13.2843u
75
+ ··· + 159.304u + 16.8963
0.548680u
76
+ 1.88235u
75
+ ··· + 31.3932u + 2.20665
a
8
=
3.80481u
76
+ 15.1666u
75
+ ··· + 190.697u + 19.1029
0.548680u
76
+ 1.88235u
75
+ ··· + 31.3932u + 2.20665
a
1
=
3.72053u
76
+ 15.8998u
75
+ ··· + 60.2006u − 1.37429
0.115206u
76
+ 0.587561u
75
+ ··· − 5.69859u − 1.78085
a
7
=
2.99371u
76
+ 12.2116u
75
+ ··· + 156.235u + 16.9489
0.442657u
76
+ 1.58355u
75
+ ··· + 28.1540u + 1.91734
a
11
=
2.87213u
76
+ 12.3222u
75
+ ··· + 75.2678u + 2.03206
0.733192u
76
+ 2.99004u
75
+ ··· − 7.36863u − 1.62550
a
3
=
0.590451u
76
+ 3.55470u
75
+ ··· + 32.3369u + 12.2851
0.0782665u
76
+ 0.462570u
75
+ ··· + 25.4892u + 3.43765
a
2
=
0.681023u
76
+ 4.03467u
75
+ ··· − 10.4432u + 7.65451
0.255746u
76
+ 1.13089u
75
+ ··· + 23.7511u + 3.31997
a
6
=
−2.01550u
76
− 7.43009u
75
+ ··· − 246.167u − 23.7129
−0.454144u
76
− 1.61501u
75
+ ··· − 39.0367u − 2.17934
a
10
=
4.72922u
76
+ 19.1431u
75
+ ··· + 210.364u + 20.7645
1.01772u
76
+ 4.07896u
75
+ ··· + 27.5236u + 1.58371
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.26612u
76
− 10.0790u
75
+ ··· − 56.7965u − 6.97634
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
77
+ 84u
76
+ ··· + 220776u − 9409
c
2
, c
5
u
77
− 2u
76
+ ··· + 584u + 97
c
3
, c
10
u
77
− u
76
+ ··· − 404u − 44
c
4
u
77
+ 4u
76
+ ··· + 14u + 1
c
6
, c
9
u
77
+ 6u
76
+ ··· − 8u + 1
c
7
u
77
+ 14u
76
+ ··· + 936770u − 675287
c
8
u
77
+ 4u
76
+ ··· − 24u + 1
c
11
u
77
− 2u
76
+ ··· + 16u + 1
c
12
u
77
− 3u
76
+ ··· − 482672u + 37636
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
77
− 172y
76
+ ··· + 7173569444y −88529281
c
2
, c
5
y
77
+ 84y
76
+ ··· + 220776y −9409
c
3
, c
10
y
77
− 37y
76
+ ··· + 117808y −1936
c
4
y
77
− 12y
76
+ ··· + 68y −1
c
6
, c
9
y
77
+ 12y
76
+ ··· + 4y −1
c
7
y
77
+ 40y
76
+ ··· + 11472934223744y −456012532369
c
8
y
77
+ 12y
76
+ ··· + 98y −1
c
11
y
77
− 8y
76
+ ··· + 54y −1
c
12
y
77
− 13y
76
+ ··· + 29073057280y −1416468496
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.603067 + 0.813111I
a = 0.017137 − 1.292070I
b = 0.99462 + 1.26439I
7.23108 − 4.64101I 0
u = 0.603067 − 0.813111I
a = 0.017137 + 1.292070I
b = 0.99462 − 1.26439I
7.23108 + 4.64101I 0
u = 0.759653 + 0.620579I
a = −0.729094 + 0.411957I
b = 0.154848 − 0.382079I
1.70009 + 0.34267I 0
u = 0.759653 − 0.620579I
a = −0.729094 − 0.411957I
b = 0.154848 + 0.382079I
1.70009 − 0.34267I 0
u = −0.572007 + 0.704963I
a = −0.141969 − 0.535912I
b = 0.819778 + 1.087240I
1.37989 + 3.40941I 0. − 7.37735I
u = −0.572007 − 0.704963I
a = −0.141969 + 0.535912I
b = 0.819778 − 1.087240I
1.37989 − 3.40941I 0. + 7.37735I
u = −0.876447 + 0.065089I
a = 1.12695 − 1.60083I
b = 0.362810 − 0.282958I
−7.40774 − 0.19172I −6.59818 + 0.I
u = −0.876447 − 0.065089I
a = 1.12695 + 1.60083I
b = 0.362810 + 0.282958I
−7.40774 + 0.19172I −6.59818 + 0.I
u = −0.504176 + 1.001760I
a = −0.125990 + 1.267870I
b = 0.534856 − 0.760961I
2.41956 + 2.16164I 0
u = −0.504176 − 1.001760I
a = −0.125990 − 1.267870I
b = 0.534856 + 0.760961I
2.41956 − 2.16164I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738185 + 0.849245I
a = −0.975432 + 0.272990I
b = 0.011881 − 0.595265I
2.30258 + 0.23661I 0
u = 0.738185 − 0.849245I
a = −0.975432 − 0.272990I
b = 0.011881 + 0.595265I
2.30258 − 0.23661I 0
u = −0.851789
a = −1.52171
b = −0.970413
−1.09740 −10.3570
u = 0.807485 + 0.037889I
a = 2.03423 + 0.82063I
b = 1.039560 − 0.013041I
−7.69102 + 5.64820I −7.22889 − 4.04366I
u = 0.807485 − 0.037889I
a = 2.03423 − 0.82063I
b = 1.039560 + 0.013041I
−7.69102 − 5.64820I −7.22889 + 4.04366I
u = −0.770876 + 0.163386I
a = 0.122882 − 1.183720I
b = 0.62353 + 1.85061I
−6.89705 − 5.46417I −7.68374 + 2.64434I
u = −0.770876 − 0.163386I
a = 0.122882 + 1.183720I
b = 0.62353 − 1.85061I
−6.89705 + 5.46417I −7.68374 − 2.64434I
u = −0.606094 + 0.481066I
a = −2.49603 + 0.49755I
b = −0.334450 + 0.491812I
−6.05313 + 8.15976I −1.59925 − 11.05556I
u = −0.606094 − 0.481066I
a = −2.49603 − 0.49755I
b = −0.334450 − 0.491812I
−6.05313 − 8.15976I −1.59925 + 11.05556I
u = 0.621201 + 0.435972I
a = −1.90399 + 0.94577I
b = −1.049600 − 0.524445I
−6.07059 − 3.11661I −2.10448 + 5.82107I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621201 − 0.435972I
a = −1.90399 − 0.94577I
b = −1.049600 + 0.524445I
−6.07059 + 3.11661I −2.10448 − 5.82107I
u = 0.748499 + 0.117674I
a = −0.319645 + 0.370992I
b = 1.66519 − 1.15111I
−6.75237 + 0.75022I −7.29921 + 3.68885I
u = 0.748499 − 0.117674I
a = −0.319645 − 0.370992I
b = 1.66519 + 1.15111I
−6.75237 − 0.75022I −7.29921 − 3.68885I
u = −0.523660 + 0.493433I
a = −0.26799 − 2.25574I
b = −0.842541 + 0.974175I
5.54248 + 3.96289I −2.44446 − 3.78941I
u = −0.523660 − 0.493433I
a = −0.26799 + 2.25574I
b = −0.842541 − 0.974175I
5.54248 − 3.96289I −2.44446 + 3.78941I
u = −0.465307 + 1.214150I
a = 0.211228 + 0.623389I
b = 0.398293 − 0.592596I
2.39163 + 1.28478I 0
u = −0.465307 − 1.214150I
a = 0.211228 − 0.623389I
b = 0.398293 + 0.592596I
2.39163 − 1.28478I 0
u = −0.696063 + 0.006993I
a = −0.274649 − 0.181788I
b = −1.096560 + 0.119297I
−1.55465 + 0.00820I −7.37344 + 0.46182I
u = −0.696063 − 0.006993I
a = −0.274649 + 0.181788I
b = −1.096560 − 0.119297I
−1.55465 − 0.00820I −7.37344 − 0.46182I
u = −0.495506 + 0.487466I
a = −0.42509 + 1.42469I
b = −0.27362 − 1.79611I
−5.63283 + 2.58512I −1.14489 − 6.76714I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.495506 − 0.487466I
a = −0.42509 − 1.42469I
b = −0.27362 + 1.79611I
−5.63283 − 2.58512I −1.14489 + 6.76714I
u = −0.988561 + 0.880973I
a = −0.220670 − 0.465255I
b = −0.492990 + 1.062540I
−0.83889 + 3.23068I 0
u = −0.988561 − 0.880973I
a = −0.220670 + 0.465255I
b = −0.492990 − 1.062540I
−0.83889 − 3.23068I 0
u = −0.387945 + 1.272310I
a = 0.621655 + 0.392644I
b = −0.651425 − 0.826090I
−4.61492 − 2.02556I 0
u = −0.387945 − 1.272310I
a = 0.621655 − 0.392644I
b = −0.651425 + 0.826090I
−4.61492 + 2.02556I 0
u = 0.935566 + 0.966645I
a = −0.002676 + 1.200680I
b = −0.682271 − 1.007510I
1.44567 − 6.72870I 0
u = 0.935566 − 0.966645I
a = −0.002676 − 1.200680I
b = −0.682271 + 1.007510I
1.44567 + 6.72870I 0
u = −1.089730 + 0.793182I
a = 0.216148 + 1.161190I
b = 1.16755 − 1.12635I
−6.58540 + 8.60086I 0
u = −1.089730 − 0.793182I
a = 0.216148 − 1.161190I
b = 1.16755 + 1.12635I
−6.58540 − 8.60086I 0
u = 0.494600 + 0.409927I
a = 0.195116 − 0.713007I
b = −1.83684 + 1.39416I
−6.21653 − 7.51366I −3.0342 + 15.2771I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.494600 − 0.409927I
a = 0.195116 + 0.713007I
b = −1.83684 − 1.39416I
−6.21653 + 7.51366I −3.0342 − 15.2771I
u = 0.559470 + 0.256633I
a = 0.25535 + 1.85165I
b = 0.101923 − 0.706888I
−0.67022 − 2.58077I −5.47128 − 2.25816I
u = 0.559470 − 0.256633I
a = 0.25535 − 1.85165I
b = 0.101923 + 0.706888I
−0.67022 + 2.58077I −5.47128 + 2.25816I
u = 0.545951 + 0.227105I
a = 1.73598 + 2.22492I
b = 0.315590 + 0.060991I
−0.83120 − 2.98976I −7.50848 + 10.23936I
u = 0.545951 − 0.227105I
a = 1.73598 − 2.22492I
b = 0.315590 − 0.060991I
−0.83120 + 2.98976I −7.50848 − 10.23936I
u = 1.08241 + 0.91304I
a = −0.046420 + 1.061490I
b = −0.76894 − 1.24936I
1.30391 − 7.00857I 0
u = 1.08241 − 0.91304I
a = −0.046420 − 1.061490I
b = −0.76894 + 1.24936I
1.30391 + 7.00857I 0
u = 0.562576 + 0.139521I
a = −0.22425 + 1.56597I
b = −0.682109 − 1.183950I
−1.10831 − 2.66434I −5.93853 + 8.28488I
u = 0.562576 − 0.139521I
a = −0.22425 − 1.56597I
b = −0.682109 + 1.183950I
−1.10831 + 2.66434I −5.93853 − 8.28488I
u = −1.11277 + 0.94222I
a = −0.200409 − 0.727141I
b = −0.985875 + 0.998786I
−1.27355 + 3.67313I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.11277 − 0.94222I
a = −0.200409 + 0.727141I
b = −0.985875 − 0.998786I
−1.27355 − 3.67313I 0
u = −0.74145 + 1.28136I
a = 0.043294 − 0.596779I
b = −0.96222 + 1.21614I
−1.00429 + 4.67365I 0
u = −0.74145 − 1.28136I
a = 0.043294 + 0.596779I
b = −0.96222 − 1.21614I
−1.00429 − 4.67365I 0
u = 1.15392 + 0.98438I
a = 0.189656 − 0.983503I
b = 1.05649 + 1.04370I
1.04209 − 11.12800I 0
u = 1.15392 − 0.98438I
a = 0.189656 + 0.983503I
b = 1.05649 − 1.04370I
1.04209 + 11.12800I 0
u = 1.27578 + 0.82674I
a = −0.028210 − 0.747755I
b = 0.983703 + 0.510288I
−10.63430 − 0.77932I 0
u = 1.27578 − 0.82674I
a = −0.028210 + 0.747755I
b = 0.983703 − 0.510288I
−10.63430 + 0.77932I 0
u = −1.19102 + 0.96689I
a = 0.042364 + 0.852648I
b = 0.663009 − 1.174750I
0.59670 + 6.60400I 0
u = −1.19102 − 0.96689I
a = 0.042364 − 0.852648I
b = 0.663009 + 1.174750I
0.59670 − 6.60400I 0
u = −1.17866 + 1.01377I
a = −0.100366 − 1.020500I
b = −1.13483 + 1.20250I
−5.7029 + 17.1137I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.17866 − 1.01377I
a = −0.100366 + 1.020500I
b = −1.13483 − 1.20250I
−5.7029 − 17.1137I 0
u = 0.73522 + 1.41650I
a = 0.226876 − 0.344497I
b = −0.264437 + 0.769397I
2.27228 + 3.02090I 0
u = 0.73522 − 1.41650I
a = 0.226876 + 0.344497I
b = −0.264437 − 0.769397I
2.27228 − 3.02090I 0
u = −1.44998 + 0.70189I
a = −0.000402 − 0.374388I
b = 0.1367910 + 0.0032125I
1.85212 + 2.45583I 0
u = −1.44998 − 0.70189I
a = −0.000402 + 0.374388I
b = 0.1367910 − 0.0032125I
1.85212 − 2.45583I 0
u = −1.31500 + 0.99989I
a = 0.182254 + 0.531020I
b = 0.362827 − 0.503241I
−0.14857 + 5.14205I 0
u = −1.31500 − 0.99989I
a = 0.182254 − 0.531020I
b = 0.362827 + 0.503241I
−0.14857 − 5.14205I 0
u = −0.288327 + 0.137249I
a = 4.30796 + 0.13760I
b = 0.903613 + 0.110211I
0.538773 + 0.309700I 3.47469 − 5.36190I
u = −0.288327 − 0.137249I
a = 4.30796 − 0.13760I
b = 0.903613 − 0.110211I
0.538773 − 0.309700I 3.47469 + 5.36190I
u = 1.28118 + 1.19069I
a = 0.119945 + 0.585097I
b = −0.949737 − 0.531912I
−9.31303 − 8.44012I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.28118 − 1.19069I
a = 0.119945 − 0.585097I
b = −0.949737 + 0.531912I
−9.31303 + 8.44012I 0
u = −0.95767 + 1.50703I
a = −0.418269 − 0.219069I
b = 0.367757 + 0.773933I
−4.63907 − 8.62640I 0
u = −0.95767 − 1.50703I
a = −0.418269 + 0.219069I
b = 0.367757 − 0.773933I
−4.63907 + 8.62640I 0
u = −0.111723 + 0.086958I
a = −2.13788 + 5.96459I
b = −1.118850 + 0.549458I
−3.12995 + 2.73682I −1.58248 − 2.63513I
u = −0.111723 − 0.086958I
a = −2.13788 − 5.96459I
b = −1.118850 − 0.549458I
−3.12995 − 2.73682I −1.58248 + 2.63513I
u = 1.84411 + 0.58993I
a = 0.151269 − 0.012341I
b = −0.052124 + 0.551302I
4.21313 − 0.76858I 0
u = 1.84411 − 0.58993I
a = 0.151269 + 0.012341I
b = −0.052124 − 0.551302I
4.21313 + 0.76858I 0
12
II.
I
u
2
= h−9.09×10
21
u
22
+3.04×10
21
u
21
+· · ·+1.48×10
22
b+1.58×10
22
, −1.26×
10
22
u
22
+3.41×10
22
u
21
+· · ·+7.39×10
22
a−5.26×10
22
, u
23
−u
22
+· · ·−u+1i
(i) Arc colorings
a
4
=
1
0
a
12
=
0
u
a
5
=
1
u
2
a
9
=
0.170683u
22
− 0.461478u
21
+ ··· − 0.608422u + 0.712319
0.615395u
22
− 0.205789u
21
+ ··· − 1.78014u − 1.07193
a
8
=
0.786078u
22
− 0.667267u
21
+ ··· − 2.38857u − 0.359615
0.615395u
22
− 0.205789u
21
+ ··· − 1.78014u − 1.07193
a
1
=
0.797082u
22
− 0.983781u
21
+ ··· − 5.25216u − 2.32110
1.02448u
22
− 0.766385u
21
+ ··· − 2.49088u − 1.94129
a
7
=
0.438850u
22
− 0.780715u
21
+ ··· − 1.27569u + 0.593508
0.420281u
22
− 0.101126u
21
+ ··· − 1.89359u − 0.611259
a
11
=
−0.763143u
22
+ 0.220845u
21
+ ··· + 1.03258u + 0.562499
0.535749u
22
− 0.438240u
21
+ ··· − 1.79386u − 0.942303
a
3
=
0.244540u
22
− 0.101985u
21
+ ··· + 0.131270u + 1.25096
−0.601253u
22
+ 0.339266u
21
+ ··· + 0.179268u + 1.57292
a
2
=
1.06649u
22
− 0.622172u
21
+ ··· − 0.149983u − 0.464514
−0.447852u
22
+ 0.245652u
21
+ ··· − 0.340918u + 1.27115
a
6
=
3.13314u
22
− 2.17629u
21
+ ··· − 7.16559u − 4.63578
0.281545u
22
− 0.0491004u
21
+ ··· + 1.03334u + 0.268967
a
10
=
−1.99256u
22
+ 1.36071u
21
+ ··· + 4.66860u + 2.56001
−0.231287u
22
+ 0.0196431u
21
+ ··· − 1.07710u + 0.0213039
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
64889945472248582727189
73868300934011664933745
u
22
+
87491739937770450031857
73868300934011664933745
u
21
+ ··· −
273611027739863519942202
73868300934011664933745
u +
4233062220436062246928
73868300934011664933745
13
(iv) u-Polynomials at the component
14
Crossings u-Polynomials at each crossing
c
1
u
23
− 23u
22
+ ··· − 5u + 1
c
2
u
23
+ 3u
22
+ ··· − 5u − 1
c
3
u
23
− 11u
21
+ ··· + 4u − 4
c
4
u
23
− u
22
+ ··· − u + 1
c
5
u
23
− 3u
22
+ ··· − 5u + 1
c
6
u
23
− 7u
22
+ ··· − u − 1
c
7
u
23
+ u
22
+ ··· + 277u − 25
c
8
u
23
+ u
22
+ ··· − u + 1
c
9
u
23
+ 7u
22
+ ··· − u + 1
c
10
u
23
− 11u
21
+ ··· + 4u + 4
c
11
u
23
− 3u
22
+ ··· − u − 1
c
12
u
23
+ u
21
+ ··· − 16u − 4
15
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
23
− 37y
22
+ ··· + 15y −1
c
2
, c
5
y
23
+ 23y
22
+ ··· − 5y −1
c
3
, c
10
y
23
− 22y
22
+ ··· + 80y −16
c
4
y
23
− 5y
22
+ ··· + 7y −1
c
6
, c
9
y
23
+ 15y
22
+ ··· + 3y −1
c
7
y
23
− 5y
22
+ ··· + 35579y −625
c
8
y
23
+ 11y
22
+ ··· − 27y −1
c
11
y
23
− 5y
22
+ ··· + 5y −1
c
12
y
23
+ 2y
22
+ ··· − 128y −16
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.731235 + 0.720695I
a = 0.07221 − 1.44212I
b = 0.82742 + 1.33530I
6.02773 − 5.38429I 1.58961 + 7.50886I
u = 0.731235 − 0.720695I
a = 0.07221 + 1.44212I
b = 0.82742 − 1.33530I
6.02773 + 5.38429I 1.58961 − 7.50886I
u = −0.451358 + 0.763359I
a = −0.02344 − 1.62840I
b = −0.961846 + 0.981295I
6.47852 + 3.67171I 5.05436 − 1.40932I
u = −0.451358 − 0.763359I
a = −0.02344 + 1.62840I
b = −0.961846 − 0.981295I
6.47852 − 3.67171I 5.05436 + 1.40932I
u = −0.736084 + 1.023050I
a = 0.000846 + 0.648467I
b = 0.105502 − 1.020420I
0.48780 + 3.96432I 3.15093 − 8.04453I
u = −0.736084 − 1.023050I
a = 0.000846 − 0.648467I
b = 0.105502 + 1.020420I
0.48780 − 3.96432I 3.15093 + 8.04453I
u = 0.710083 + 1.187680I
a = −0.617574 + 0.477191I
b = −0.059064 − 0.619957I
3.11012 − 0.16471I 10.59532 − 0.10440I
u = 0.710083 − 1.187680I
a = −0.617574 − 0.477191I
b = −0.059064 + 0.619957I
3.11012 + 0.16471I 10.59532 + 0.10440I
u = −0.89617 + 1.11622I
a = 0.036477 + 0.651810I
b = 1.03520 − 1.25075I
−1.29427 + 4.46459I −10.37642 − 5.61721I
u = −0.89617 − 1.11622I
a = 0.036477 − 0.651810I
b = 1.03520 + 1.25075I
−1.29427 − 4.46459I −10.37642 + 5.61721I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.519697
a = 3.04560
b = 0.939628
0.0865225 −9.70390
u = −0.408794 + 0.286092I
a = −1.20734 + 2.30061I
b = −0.050189 − 0.760743I
−0.26931 + 2.82970I 9.42610 − 6.03745I
u = −0.408794 − 0.286092I
a = −1.20734 − 2.30061I
b = −0.050189 + 0.760743I
−0.26931 − 2.82970I 9.42610 + 6.03745I
u = 0.490813 + 0.070479I
a = −1.78315 − 0.94699I
b = −0.86159 + 1.21916I
−6.33659 + 1.58059I −3.12037 − 2.30169I
u = 0.490813 − 0.070479I
a = −1.78315 + 0.94699I
b = −0.86159 − 1.21916I
−6.33659 − 1.58059I −3.12037 + 2.30169I
u = 0.186913 + 0.444271I
a = 1.34944 − 0.94080I
b = 0.876524 − 0.917306I
−6.19036 − 6.81849I −1.58405 + 2.82845I
u = 0.186913 − 0.444271I
a = 1.34944 + 0.94080I
b = 0.876524 + 0.917306I
−6.19036 + 6.81849I −1.58405 − 2.82845I
u = 1.18516 + 0.98943I
a = −0.035369 + 1.025860I
b = −0.641385 − 1.228660I
1.62124 − 7.58679I 6.2802 + 14.4688I
u = 1.18516 − 0.98943I
a = −0.035369 − 1.025860I
b = −0.641385 + 1.228660I
1.62124 + 7.58679I 6.2802 − 14.4688I
u = 1.61755 + 0.10799I
a = 0.244155 + 0.255784I
b = −0.061603 + 0.408192I
3.93868 + 1.07679I 3.60784 − 10.46791I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.61755 − 0.10799I
a = 0.244155 − 0.255784I
b = −0.061603 − 0.408192I
3.93868 − 1.07679I 3.60784 + 10.46791I
u = −1.66949 + 1.18058I
a = −0.059058 − 0.227943I
b = −0.178787 + 0.528239I
2.25280 + 2.65056I 11.7285 − 10.8769I
u = −1.66949 − 1.18058I
a = −0.059058 + 0.227943I
b = −0.178787 − 0.528239I
2.25280 − 2.65056I 11.7285 + 10.8769I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
23
− 23u
22
+ ··· − 5u + 1)(u
77
+ 84u
76
+ ··· + 220776u − 9409)
c
2
(u
23
+ 3u
22
+ ··· − 5u − 1)(u
77
− 2u
76
+ ··· + 584u + 97)
c
3
(u
23
− 11u
21
+ ··· + 4u − 4)(u
77
− u
76
+ ··· − 404u − 44)
c
4
(u
23
− u
22
+ ··· − u + 1)(u
77
+ 4u
76
+ ··· + 14u + 1)
c
5
(u
23
− 3u
22
+ ··· − 5u + 1)(u
77
− 2u
76
+ ··· + 584u + 97)
c
6
(u
23
− 7u
22
+ ··· − u − 1)(u
77
+ 6u
76
+ ··· − 8u + 1)
c
7
(u
23
+ u
22
+ ··· + 277u − 25)(u
77
+ 14u
76
+ ··· + 936770u − 675287)
c
8
(u
23
+ u
22
+ ··· − u + 1)(u
77
+ 4u
76
+ ··· − 24u + 1)
c
9
(u
23
+ 7u
22
+ ··· − u + 1)(u
77
+ 6u
76
+ ··· − 8u + 1)
c
10
(u
23
− 11u
21
+ ··· + 4u + 4)(u
77
− u
76
+ ··· − 404u − 44)
c
11
(u
23
− 3u
22
+ ··· − u − 1)(u
77
− 2u
76
+ ··· + 16u + 1)
c
12
(u
23
+ u
21
+ ··· − 16u − 4)(u
77
− 3u
76
+ ··· − 482672u + 37636)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
23
− 37y
22
+ ··· + 15y −1)
· (y
77
− 172y
76
+ ··· + 7173569444y −88529281)
c
2
, c
5
(y
23
+ 23y
22
+ ··· − 5y −1)(y
77
+ 84y
76
+ ··· + 220776y −9409)
c
3
, c
10
(y
23
− 22y
22
+ ··· + 80y −16)(y
77
− 37y
76
+ ··· + 117808y −1936)
c
4
(y
23
− 5y
22
+ ··· + 7y −1)(y
77
− 12y
76
+ ··· + 68y −1)
c
6
, c
9
(y
23
+ 15y
22
+ ··· + 3y −1)(y
77
+ 12y
76
+ ··· + 4y −1)
c
7
(y
23
− 5y
22
+ ··· + 35579y −625)
· (y
77
+ 40y
76
+ ··· + 11472934223744y −456012532369)
c
8
(y
23
+ 11y
22
+ ··· − 27y −1)(y
77
+ 12y
76
+ ··· + 98y −1)
c
11
(y
23
− 5y
22
+ ··· + 5y −1)(y
77
− 8y
76
+ ··· + 54y −1)
c
12
(y
23
+ 2y
22
+ ··· − 128y −16)
· (y
77
− 13y
76
+ ··· + 29073057280y −1416468496)
22
