12a
0402
(K12a
0402
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 2 1 12 5 7 8 4 10
Solving Sequence
5,11
4
9,12
3 8 7 10 1 2 6
c
4
c
11
c
3
c
8
c
7
c
10
c
12
c
1
c
6
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h5.48450 × 10
766
u
168
− 9.61153 × 10
766
u
167
+ ··· + 2.29982 × 10
767
b − 7.81469 × 10
768
,
− 8.67596 × 10
770
u
168
+ 1.10504 × 10
771
u
167
+ ··· + 1.37506 × 10
771
a + 8.82996 × 10
773
,
u
169
− u
168
+ ··· + 2025u − 1993i
I
u
2
= hu
32
+ 2u
31
+ ··· + b + 1,
602206367062u
33
+ 1149094827776u
32
+ ··· + 540898481a − 160702223985,
u
34
+ 2u
33
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 203 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
= h5.48 × 10
766
u
168
− 9.61 × 10
766
u
167
+ · · · + 2.30 × 10
767
b − 7.81 ×
10
768
, −8.68 × 10
770
u
168
+ 1.11 × 10
771
u
167
+ · · · + 1.38 × 10
771
a + 8.83 ×
10
773
, u
169
− u
168
+ · · · + 2025u − 1993i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
9
=
0.630952u
168
− 0.803634u
167
+ ··· − 1654.92u − 642.151
−0.238476u
168
+ 0.417926u
167
+ ··· + 568.575u + 33.9796
a
12
=
u
u
3
+ u
a
3
=
−0.110031u
168
+ 0.264849u
167
+ ··· + 11.6708u − 225.567
0.342928u
168
− 0.256644u
167
+ ··· + 187.277u − 682.837
a
8
=
0.392476u
168
− 0.385708u
167
+ ··· − 1086.35u − 608.171
−0.238476u
168
+ 0.417926u
167
+ ··· + 568.575u + 33.9796
a
7
=
0.637299u
168
− 0.871269u
167
+ ··· − 2175.84u − 504.279
−0.0306003u
168
+ 0.260739u
167
+ ··· + 454.505u − 341.920
a
10
=
−0.310904u
168
+ 0.507805u
167
+ ··· + 2173.69u − 729.178
0.128441u
168
− 0.169595u
167
+ ··· + 24.3434u + 10.2808
a
1
=
0.232887u
168
+ 0.0525653u
167
+ ··· + 1074.67u − 739.430
0.110673u
168
+ 0.0143566u
167
+ ··· + 489.045u − 735.424
a
2
=
1.70887u
168
− 1.86510u
167
+ ··· − 3299.07u − 490.037
−0.581369u
168
+ 0.588853u
167
+ ··· − 99.9868u + 750.915
a
6
=
−0.625299u
168
+ 0.588598u
167
+ ··· + 1723.13u − 110.055
−0.213795u
168
+ 0.698520u
167
+ ··· + 2369.17u − 869.343
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.79580u
168
+ 4.21624u
167
+ ··· + 11034.1u − 3131.15
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
169
+ 88u
168
+ ··· + 10u + 1
c
2
, c
5
u
169
+ 4u
168
+ ··· + 2u + 1
c
3
u
169
− u
168
+ ··· − 1643667u + 823471
c
4
, c
11
u
169
+ u
168
+ ··· + 2025u + 1993
c
6
u
169
+ 12u
168
+ ··· + 763606u + 385669
c
7
u
169
+ 2u
168
+ ··· − 64u + 1
c
8
u
169
+ u
168
+ ··· − 423737259u + 188817887
c
9
u
169
− 3u
168
+ ··· + 8406u + 459
c
10
u
169
+ 17u
168
+ ··· + 65005u + 5071
c
12
u
169
+ 17u
168
+ ··· − 1043253u − 63901
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
169
− 4y
168
+ ··· + 126y −1
c
2
, c
5
y
169
− 88y
168
+ ··· + 10y −1
c
3
y
169
− 31y
168
+ ··· + 8943525035817y −678104487841
c
4
, c
11
y
169
+ 101y
168
+ ··· − 158878943y −3972049
c
6
y
169
+ 96y
168
+ ··· + 1430818496714y −148740577561
c
7
y
169
+ 14y
168
+ ··· + 122y −1
c
8
y
169
− 53y
168
+ ··· + 1817884010224232283y −35652194451144769
c
9
y
169
+ 17y
168
+ ··· − 3881682y −210681
c
10
y
169
− 41y
168
+ ··· − 5001642995y −25715041
c
12
y
169
+ 33y
168
+ ··· − 90651327247y −4083337801
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.288257 + 0.954367I
a = −0.352091 + 1.180490I
b = −0.12401 − 1.96027I
−0.46332 + 6.07821I 0
u = 0.288257 − 0.954367I
a = −0.352091 − 1.180490I
b = −0.12401 + 1.96027I
−0.46332 − 6.07821I 0
u = −0.323766 + 0.942439I
a = 0.61498 + 1.31635I
b = −0.02847 − 2.10407I
−2.89006 − 10.88830I 0
u = −0.323766 − 0.942439I
a = 0.61498 − 1.31635I
b = −0.02847 + 2.10407I
−2.89006 + 10.88830I 0
u = −0.238077 + 0.975381I
a = 2.92191 + 0.45105I
b = −0.654577 − 0.683921I
−3.63976 − 10.39140I 0
u = −0.238077 − 0.975381I
a = 2.92191 − 0.45105I
b = −0.654577 + 0.683921I
−3.63976 + 10.39140I 0
u = 0.240802 + 0.957798I
a = −2.74770 + 0.34558I
b = 0.640654 − 0.597955I
−0.74218 + 5.70982I 0
u = 0.240802 − 0.957798I
a = −2.74770 − 0.34558I
b = 0.640654 + 0.597955I
−0.74218 − 5.70982I 0
u = −0.212908 + 0.956625I
a = 2.89414 + 0.08756I
b = −0.768487 − 0.579991I
−4.59817 − 2.04110I 0
u = −0.212908 − 0.956625I
a = 2.89414 − 0.08756I
b = −0.768487 + 0.579991I
−4.59817 + 2.04110I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.310270 + 0.926825I
a = −2.08934 + 0.50705I
b = 0.375083 − 0.425428I
1.63879 + 5.18646I 0
u = 0.310270 − 0.926825I
a = −2.08934 − 0.50705I
b = 0.375083 + 0.425428I
1.63879 − 5.18646I 0
u = 0.500551 + 0.898128I
a = −0.390318 − 0.899039I
b = 0.450899 + 0.950589I
−2.45808 + 5.69634I 0
u = 0.500551 − 0.898128I
a = −0.390318 + 0.899039I
b = 0.450899 − 0.950589I
−2.45808 − 5.69634I 0
u = −0.373115 + 0.897009I
a = 1.60172 + 0.47062I
b = −0.204842 − 0.240003I
1.58912 − 1.10486I 0
u = −0.373115 − 0.897009I
a = 1.60172 − 0.47062I
b = −0.204842 + 0.240003I
1.58912 + 1.10486I 0
u = −0.031392 + 1.030530I
a = −1.59884 − 0.85844I
b = 1.064940 − 0.402531I
−4.15385 + 0.01671I 0
u = −0.031392 − 1.030530I
a = −1.59884 + 0.85844I
b = 1.064940 + 0.402531I
−4.15385 − 0.01671I 0
u = −0.964297 + 0.059526I
a = 0.411222 − 0.034592I
b = −0.396885 − 0.522705I
2.40429 − 1.00428I 0
u = −0.964297 − 0.059526I
a = 0.411222 + 0.034592I
b = −0.396885 + 0.522705I
2.40429 + 1.00428I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.004298 + 1.035560I
a = 1.77339 − 1.11705I
b = −1.099500 − 0.305216I
−7.48849 − 4.46493I 0
u = −0.004298 − 1.035560I
a = 1.77339 + 1.11705I
b = −1.099500 + 0.305216I
−7.48849 + 4.46493I 0
u = 0.192685 + 0.943332I
a = 0.588790 + 1.224620I
b = −0.77647 − 1.86103I
1.05548 + 4.20578I 0
u = 0.192685 − 0.943332I
a = 0.588790 − 1.224620I
b = −0.77647 + 1.86103I
1.05548 − 4.20578I 0
u = −0.149336 + 0.949456I
a = −1.24062 + 1.10289I
b = 1.23681 − 1.69173I
0.207746 + 0.684749I 0
u = −0.149336 − 0.949456I
a = −1.24062 − 1.10289I
b = 1.23681 + 1.69173I
0.207746 − 0.684749I 0
u = 0.679865 + 0.678476I
a = −1.15989 − 1.11411I
b = 1.261950 + 0.450739I
−2.48283 − 1.17409I 0
u = 0.679865 − 0.678476I
a = −1.15989 + 1.11411I
b = 1.261950 − 0.450739I
−2.48283 + 1.17409I 0
u = 0.946075 + 0.150596I
a = −0.566398 − 0.039069I
b = 0.515662 − 0.700706I
0.27922 + 5.69278I 0
u = 0.946075 − 0.150596I
a = −0.566398 + 0.039069I
b = 0.515662 + 0.700706I
0.27922 − 5.69278I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.331982 + 1.003480I
a = −0.005970 − 0.505256I
b = 0.043370 + 0.870054I
−2.60777 − 1.34412I 0
u = 0.331982 − 1.003480I
a = −0.005970 + 0.505256I
b = 0.043370 − 0.870054I
−2.60777 + 1.34412I 0
u = 0.715139 + 0.605751I
a = −1.24905 − 1.00956I
b = 1.344770 + 0.195916I
−2.29663 + 6.37428I 0
u = 0.715139 − 0.605751I
a = −1.24905 + 1.00956I
b = 1.344770 − 0.195916I
−2.29663 − 6.37428I 0
u = 0.037080 + 1.071750I
a = 1.28445 − 1.06594I
b = −0.921191 − 0.339432I
−7.75531 + 4.15723I 0
u = 0.037080 − 1.071750I
a = 1.28445 + 1.06594I
b = −0.921191 + 0.339432I
−7.75531 − 4.15723I 0
u = −0.429232 + 0.804094I
a = 0.634934 − 0.509036I
b = −0.352722 + 0.610857I
0.06076 − 1.89508I 0
u = −0.429232 − 0.804094I
a = 0.634934 + 0.509036I
b = −0.352722 − 0.610857I
0.06076 + 1.89508I 0
u = −0.331459 + 1.040380I
a = 0.854440 + 0.574470I
b = −0.35379 − 1.61190I
−4.47717 − 3.37033I 0
u = −0.331459 − 1.040380I
a = 0.854440 − 0.574470I
b = −0.35379 + 1.61190I
−4.47717 + 3.37033I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.000960 + 0.442294I
a = −0.234294 + 0.011879I
b = −0.740478 + 0.198583I
−5.04360 − 1.51530I 0
u = 1.000960 − 0.442294I
a = −0.234294 − 0.011879I
b = −0.740478 − 0.198583I
−5.04360 + 1.51530I 0
u = −0.532489 + 0.716149I
a = 0.997416 − 0.906772I
b = −0.801648 + 0.480258I
0.15517 − 2.14886I 0
u = −0.532489 − 0.716149I
a = 0.997416 + 0.906772I
b = −0.801648 − 0.480258I
0.15517 + 2.14886I 0
u = −1.100760 + 0.173641I
a = −0.068941 + 0.138372I
b = 1.095180 − 0.549054I
−5.34506 + 5.43270I 0
u = −1.100760 − 0.173641I
a = −0.068941 − 0.138372I
b = 1.095180 + 0.549054I
−5.34506 − 5.43270I 0
u = −1.109710 + 0.162141I
a = −0.101962 + 0.217304I
b = 1.125380 − 0.722848I
−3.4933 + 14.3748I 0
u = −1.109710 − 0.162141I
a = −0.101962 − 0.217304I
b = 1.125380 + 0.722848I
−3.4933 − 14.3748I 0
u = 1.110590 + 0.167761I
a = 0.065062 + 0.202902I
b = −1.056620 − 0.679733I
−0.63192 − 9.17536I 0
u = 1.110590 − 0.167761I
a = 0.065062 − 0.202902I
b = −1.056620 + 0.679733I
−0.63192 + 9.17536I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.478995 + 1.026800I
a = 0.665647 − 1.225280I
b = −1.372840 + 0.094386I
−7.65416 + 2.63004I 0
u = −0.478995 − 1.026800I
a = 0.665647 + 1.225280I
b = −1.372840 − 0.094386I
−7.65416 − 2.63004I 0
u = −0.717939 + 0.485296I
a = 0.507223 + 0.034780I
b = 0.590724 + 0.510279I
−0.51115 − 2.73758I 0
u = −0.717939 − 0.485296I
a = 0.507223 − 0.034780I
b = 0.590724 − 0.510279I
−0.51115 + 2.73758I 0
u = 0.102157 + 0.856948I
a = −2.40168 − 0.57194I
b = 0.980898 − 0.162317I
−2.06752 + 2.69493I 0
u = 0.102157 − 0.856948I
a = −2.40168 + 0.57194I
b = 0.980898 + 0.162317I
−2.06752 − 2.69493I 0
u = −0.632218 + 0.586771I
a = 1.15278 − 0.99037I
b = −1.102940 + 0.192770I
0.32133 − 2.40540I 0
u = −0.632218 − 0.586771I
a = 1.15278 + 0.99037I
b = −1.102940 − 0.192770I
0.32133 + 2.40540I 0
u = 1.131250 + 0.173663I
a = −0.093866 + 0.199702I
b = −0.694113 − 0.624713I
2.94636 − 7.01335I 0
u = 1.131250 − 0.173663I
a = −0.093866 − 0.199702I
b = −0.694113 + 0.624713I
2.94636 + 7.01335I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.158630 + 0.838466I
a = −2.65577 − 0.60529I
b = 1.60746 + 0.45128I
0.49745 − 2.26532I 0
u = −0.158630 − 0.838466I
a = −2.65577 + 0.60529I
b = 1.60746 − 0.45128I
0.49745 + 2.26532I 0
u = −0.253291 + 1.132730I
a = 0.533505 − 0.308927I
b = −0.205564 − 0.877474I
−4.29063 − 3.47084I 0
u = −0.253291 − 1.132730I
a = 0.533505 + 0.308927I
b = −0.205564 + 0.877474I
−4.29063 + 3.47084I 0
u = −1.152270 + 0.160549I
a = 0.165926 + 0.151616I
b = 0.491188 − 0.495379I
3.39244 + 1.68848I 0
u = −1.152270 − 0.160549I
a = 0.165926 − 0.151616I
b = 0.491188 + 0.495379I
3.39244 − 1.68848I 0
u = 0.511381 + 1.057080I
a = −0.818725 − 1.051980I
b = 1.330600 − 0.019173I
−4.46414 + 1.79514I 0
u = 0.511381 − 1.057080I
a = −0.818725 + 1.051980I
b = 1.330600 + 0.019173I
−4.46414 − 1.79514I 0
u = 0.779467 + 0.261333I
a = −0.755679 − 0.483346I
b = 0.873247 − 0.486132I
−0.816729 − 1.138170I 0
u = 0.779467 − 0.261333I
a = −0.755679 + 0.483346I
b = 0.873247 + 0.486132I
−0.816729 + 1.138170I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622675 + 0.526067I
a = −0.067891 − 0.163291I
b = 0.621665 + 0.308570I
−1.75037 − 0.18181I 0
u = 0.622675 − 0.526067I
a = −0.067891 + 0.163291I
b = 0.621665 − 0.308570I
−1.75037 + 0.18181I 0
u = −0.475278 + 1.086230I
a = 1.01986 − 1.22124I
b = −1.46735 − 0.06195I
−8.00056 − 5.81192I 0
u = −0.475278 − 1.086230I
a = 1.01986 + 1.22124I
b = −1.46735 + 0.06195I
−8.00056 + 5.81192I 0
u = 0.728904 + 0.357200I
a = −0.527428 − 0.134968I
b = −0.766158 + 0.615731I
−3.61671 + 7.78948I 0
u = 0.728904 − 0.357200I
a = −0.527428 + 0.134968I
b = −0.766158 − 0.615731I
−3.61671 − 7.78948I 0
u = 0.403738 + 1.129660I
a = −1.55406 − 0.01324I
b = 1.06744 − 1.25732I
−3.49676 + 6.15244I 0
u = 0.403738 − 1.129660I
a = −1.55406 + 0.01324I
b = 1.06744 + 1.25732I
−3.49676 − 6.15244I 0
u = −0.457279 + 1.146190I
a = 2.11332 − 0.25070I
b = −1.64579 − 1.22727I
−7.63723 − 10.05980I 0
u = −0.457279 − 1.146190I
a = 2.11332 + 0.25070I
b = −1.64579 + 1.22727I
−7.63723 + 10.05980I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.447131 + 1.152460I
a = −1.94375 − 0.32039I
b = 1.52654 − 1.10507I
−4.72287 + 5.80817I 0
u = 0.447131 − 1.152460I
a = −1.94375 + 0.32039I
b = 1.52654 + 1.10507I
−4.72287 − 5.80817I 0
u = 0.181570 + 0.735585I
a = 2.61316 − 0.74056I
b = −1.244700 + 0.652639I
1.63266 − 2.19221I 0
u = 0.181570 − 0.735585I
a = 2.61316 + 0.74056I
b = −1.244700 − 0.652639I
1.63266 + 2.19221I 0
u = −0.456265 + 1.159960I
a = 2.06233 − 0.50169I
b = −1.69787 − 0.99945I
−8.01784 − 2.03325I 0
u = −0.456265 − 1.159960I
a = 2.06233 + 0.50169I
b = −1.69787 + 0.99945I
−8.01784 + 2.03325I 0
u = −0.638064 + 0.394126I
a = 0.956703 − 0.899839I
b = −0.957507 − 0.169309I
0.79709 − 2.29243I 0
u = −0.638064 − 0.394126I
a = 0.956703 + 0.899839I
b = −0.957507 + 0.169309I
0.79709 + 2.29243I 0
u = −1.224110 + 0.338369I
a = 0.304657 − 0.030327I
b = −0.437065 + 0.087483I
2.70500 − 1.17588I 0
u = −1.224110 − 0.338369I
a = 0.304657 + 0.030327I
b = −0.437065 − 0.087483I
2.70500 + 1.17588I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.466385 + 1.185090I
a = −1.55495 − 0.67703I
b = 1.38808 − 0.58781I
−4.62264 + 4.26724I 0
u = 0.466385 − 1.185090I
a = −1.55495 + 0.67703I
b = 1.38808 + 0.58781I
−4.62264 − 4.26724I 0
u = −0.270687 + 0.651384I
a = −0.601813 + 0.315667I
b = −0.584161 + 0.985648I
−3.81337 − 0.28146I 0
u = −0.270687 − 0.651384I
a = −0.601813 − 0.315667I
b = −0.584161 − 0.985648I
−3.81337 + 0.28146I 0
u = 0.338584 + 1.260610I
a = 1.88786 − 0.15118I
b = −1.70307 + 0.83871I
−8.25357 + 11.31400I 0
u = 0.338584 − 1.260610I
a = 1.88786 + 0.15118I
b = −1.70307 − 0.83871I
−8.25357 − 11.31400I 0
u = −0.385491 + 0.575000I
a = −2.50837 − 0.84921I
b = 0.70561 + 1.30467I
−1.87220 + 7.72879I 0
u = −0.385491 − 0.575000I
a = −2.50837 + 0.84921I
b = 0.70561 − 1.30467I
−1.87220 − 7.72879I 0
u = −0.318846 + 1.272740I
a = −1.74136 − 0.20280I
b = 1.58002 + 0.85978I
−5.49827 − 6.03914I 0
u = −0.318846 − 1.272740I
a = −1.74136 + 0.20280I
b = 1.58002 − 0.85978I
−5.49827 + 6.03914I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.233812 + 1.293090I
a = −1.09874 − 1.22166I
b = 0.601758 − 0.137748I
−8.34614 + 1.14539I 0
u = 0.233812 − 1.293090I
a = −1.09874 + 1.22166I
b = 0.601758 + 0.137748I
−8.34614 − 1.14539I 0
u = −0.221205 + 0.648702I
a = −0.693482 + 0.667807I
b = −0.519212 + 1.158340I
−2.66133 + 8.07549I 0
u = −0.221205 − 0.648702I
a = −0.693482 − 0.667807I
b = −0.519212 − 1.158340I
−2.66133 − 8.07549I 0
u = −0.272055 + 1.289910I
a = 1.22590 − 1.02434I
b = −0.722480 − 0.268853I
−5.09266 − 5.08803I 0
u = −0.272055 − 1.289910I
a = 1.22590 + 1.02434I
b = −0.722480 + 0.268853I
−5.09266 + 5.08803I 0
u = 0.235632 + 0.627996I
a = 0.515560 + 0.599666I
b = 0.462130 + 1.084470I
0.18334 − 3.29876I 0
u = 0.235632 − 0.627996I
a = 0.515560 − 0.599666I
b = 0.462130 − 1.084470I
0.18334 + 3.29876I 0
u = −0.655277 + 0.099893I
a = −0.543581 − 0.105698I
b = −1.173940 + 0.643421I
−4.99706 − 2.18355I −7.80963 + 0.I
u = −0.655277 − 0.099893I
a = −0.543581 + 0.105698I
b = −1.173940 − 0.643421I
−4.99706 + 2.18355I −7.80963 + 0.I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.333611 + 1.307330I
a = 1.62390 + 0.03204I
b = −1.51702 + 0.65103I
−10.36450 + 2.47352I 0
u = 0.333611 − 1.307330I
a = 1.62390 − 0.03204I
b = −1.51702 − 0.65103I
−10.36450 − 2.47352I 0
u = −0.631999 + 0.151222I
a = −0.789636 − 0.192513I
b = −1.033530 + 0.885738I
−4.78809 + 5.86477I −6.67906 − 6.89519I
u = −0.631999 − 0.151222I
a = −0.789636 + 0.192513I
b = −1.033530 − 0.885738I
−4.78809 − 5.86477I −6.67906 + 6.89519I
u = 0.266831 + 1.323650I
a = −1.37293 − 1.15885I
b = 0.811310 − 0.147748I
−8.13484 + 9.26127I 0
u = 0.266831 − 1.323650I
a = −1.37293 + 1.15885I
b = 0.811310 + 0.147748I
−8.13484 − 9.26127I 0
u = −0.373832 + 1.298120I
a = 1.50367 − 0.66952I
b = −1.017910 − 0.471356I
−4.06075 − 5.89876I 0
u = −0.373832 − 1.298120I
a = 1.50367 + 0.66952I
b = −1.017910 + 0.471356I
−4.06075 + 5.89876I 0
u = 0.306546 + 0.562655I
a = 2.57417 − 0.78314I
b = −0.718550 + 1.044770I
0.61709 − 3.25560I 0
u = 0.306546 − 0.562655I
a = 2.57417 + 0.78314I
b = −0.718550 − 1.044770I
0.61709 + 3.25560I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.247491 + 1.345360I
a = −0.939706 − 0.345082I
b = 0.877413 + 0.902855I
−2.54656 − 3.24246I 0
u = −0.247491 − 1.345360I
a = −0.939706 + 0.345082I
b = 0.877413 − 0.902855I
−2.54656 + 3.24246I 0
u = 0.609620 + 0.110358I
a = 0.719060 + 0.025078I
b = 0.953345 + 0.692950I
−1.77265 − 1.71671I −3.89346 + 3.39080I
u = 0.609620 − 0.110358I
a = 0.719060 − 0.025078I
b = 0.953345 − 0.692950I
−1.77265 + 1.71671I −3.89346 − 3.39080I
u = 0.616207
a = 0.176667
b = 0.827938
−1.45673 −7.05760
u = 0.243333 + 1.373350I
a = 0.682132 + 0.065195I
b = −0.673518 + 0.489693I
−2.92781 − 2.05368I 0
u = 0.243333 − 1.373350I
a = 0.682132 − 0.065195I
b = −0.673518 − 0.489693I
−2.92781 + 2.05368I 0
u = −0.401014 + 0.446364I
a = −2.34670 − 0.64741I
b = 0.279871 + 1.210940I
−2.76145 + 0.15865I −2.37833 + 2.56508I
u = −0.401014 − 0.446364I
a = −2.34670 + 0.64741I
b = 0.279871 − 1.210940I
−2.76145 − 0.15865I −2.37833 − 2.56508I
u = 0.716446 + 1.214870I
a = −0.930380 − 0.279276I
b = 0.948262 − 0.308934I
−1.42931 + 1.08147I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.716446 − 1.214870I
a = −0.930380 + 0.279276I
b = 0.948262 + 0.308934I
−1.42931 − 1.08147I 0
u = 0.239627 + 0.534731I
a = −0.106157 + 0.763133I
b = 0.139934 + 1.052830I
2.67868 − 2.33676I 3.70936 + 1.81119I
u = 0.239627 − 0.534731I
a = −0.106157 − 0.763133I
b = 0.139934 − 1.052830I
2.67868 + 2.33676I 3.70936 − 1.81119I
u = 1.29704 + 0.57395I
a = −0.340640 − 0.044679I
b = 0.490694 + 0.021283I
0.95136 + 6.10179I 0
u = 1.29704 − 0.57395I
a = −0.340640 + 0.044679I
b = 0.490694 − 0.021283I
0.95136 − 6.10179I 0
u = −0.308768 + 0.485218I
a = 0.499503 + 0.593741I
b = 0.054592 + 0.972901I
2.61071 − 2.15044I 3.49429 + 5.07410I
u = −0.308768 − 0.485218I
a = 0.499503 − 0.593741I
b = 0.054592 − 0.972901I
2.61071 + 2.15044I 3.49429 − 5.07410I
u = 0.59220 + 1.30755I
a = 1.373610 + 0.081316I
b = −1.20788 + 0.96084I
−0.65240 + 13.07150I 0
u = 0.59220 − 1.30755I
a = 1.373610 − 0.081316I
b = −1.20788 − 0.96084I
−0.65240 − 13.07150I 0
u = −0.59383 + 1.30855I
a = −1.56460 + 0.39959I
b = 1.43884 + 0.80722I
−8.9223 − 11.4500I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.59383 − 1.30855I
a = −1.56460 − 0.39959I
b = 1.43884 − 0.80722I
−8.9223 + 11.4500I 0
u = −0.58738 + 1.31213I
a = −1.195620 + 0.036350I
b = 1.07099 + 0.92984I
−0.27570 − 7.75879I 0
u = −0.58738 − 1.31213I
a = −1.195620 − 0.036350I
b = 1.07099 − 0.92984I
−0.27570 + 7.75879I 0
u = 0.59514 + 1.30916I
a = 1.63281 + 0.28773I
b = −1.45065 + 0.90342I
−4.2262 + 15.2125I 0
u = 0.59514 − 1.30916I
a = 1.63281 − 0.28773I
b = −1.45065 − 0.90342I
−4.2262 − 15.2125I 0
u = −0.59533 + 1.31029I
a = −1.70899 + 0.30754I
b = 1.50851 + 0.91298I
−7.1013 − 20.4098I 0
u = −0.59533 − 1.31029I
a = −1.70899 − 0.30754I
b = 1.50851 − 0.91298I
−7.1013 + 20.4098I 0
u = 0.46943 + 1.36425I
a = −1.65406 − 0.37978I
b = 1.160210 − 0.523521I
−5.66062 + 3.51236I 0
u = 0.46943 − 1.36425I
a = −1.65406 + 0.37978I
b = 1.160210 + 0.523521I
−5.66062 − 3.51236I 0
u = −0.64174 + 1.30116I
a = 1.173070 − 0.218279I
b = −1.004490 − 0.446657I
−0.64799 − 5.40688I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.64174 − 1.30116I
a = 1.173070 + 0.218279I
b = −1.004490 + 0.446657I
−0.64799 + 5.40688I 0
u = 0.62470 + 1.31422I
a = 0.844977 + 0.435676I
b = −0.989877 + 0.544954I
−8.08219 + 7.88607I 0
u = 0.62470 − 1.31422I
a = 0.844977 − 0.435676I
b = −0.989877 − 0.544954I
−8.08219 − 7.88607I 0
u = −0.32831 + 1.41957I
a = −1.061590 + 0.567659I
b = 1.118710 + 0.080075I
−10.83290 + 0.32408I 0
u = −0.32831 − 1.41957I
a = −1.061590 − 0.567659I
b = 1.118710 − 0.080075I
−10.83290 − 0.32408I 0
u = −0.54203 + 1.36560I
a = 1.49770 − 0.21139I
b = −1.100510 − 0.553942I
−2.05045 − 6.55393I 0
u = −0.54203 − 1.36560I
a = 1.49770 + 0.21139I
b = −1.100510 + 0.553942I
−2.05045 + 6.55393I 0
u = 0.30875 + 1.44495I
a = 0.881145 + 0.601770I
b = −0.958452 + 0.010094I
−6.22903 − 3.96583I 0
u = 0.30875 − 1.44495I
a = 0.881145 − 0.601770I
b = −0.958452 − 0.010094I
−6.22903 + 3.96583I 0
u = −0.32321 + 1.45993I
a = −0.881245 + 0.712118I
b = 0.983383 − 0.093385I
−9.04715 + 9.08872I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.32321 − 1.45993I
a = −0.881245 − 0.712118I
b = 0.983383 + 0.093385I
−9.04715 − 9.08872I 0
u = 0.87773 + 1.21311I
a = 0.104597 + 0.395295I
b = −0.597844 + 0.258544I
−5.37577 − 2.05136I 0
u = 0.87773 − 1.21311I
a = 0.104597 − 0.395295I
b = −0.597844 − 0.258544I
−5.37577 + 2.05136I 0
u = 0.52868 + 1.40145I
a = −1.60596 − 0.14181I
b = 1.124490 − 0.596695I
−4.56961 + 11.14540I 0
u = 0.52868 − 1.40145I
a = −1.60596 + 0.14181I
b = 1.124490 + 0.596695I
−4.56961 − 11.14540I 0
u = 0.421936 + 0.188897I
a = 1.82266 + 0.38212I
b = 0.330215 + 0.769537I
−0.81987 − 2.60207I 1.50323 + 7.82448I
u = 0.421936 − 0.188897I
a = 1.82266 − 0.38212I
b = 0.330215 − 0.769537I
−0.81987 + 2.60207I 1.50323 − 7.82448I
u = −0.63298 + 1.42784I
a = −0.531480 + 0.097741I
b = 0.657893 + 0.622819I
−2.44231 − 4.22307I 0
u = −0.63298 − 1.42784I
a = −0.531480 − 0.097741I
b = 0.657893 − 0.622819I
−2.44231 + 4.22307I 0
21
II. I
u
2
= hu
32
+ 2u
31
+ · · · + b + 1, 6.02 × 10
11
u
33
+ 1.15 × 10
12
u
32
+ · · · +
5.41 × 10
8
a − 1.61 × 10
11
, u
34
+ 2u
33
+ · · · − u + 1i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
9
=
−1113.34u
33
− 2124.42u
32
+ ··· − 2851.74u + 297.102
−u
32
− 2u
31
+ ··· + 2u − 1
a
12
=
u
u
3
+ u
a
3
=
−41.6620u
33
− 449.921u
32
+ ··· + 693.957u − 786.918
−50.2994u
33
− 520.920u
32
+ ··· + 764.764u − 916.334
a
8
=
−1113.34u
33
− 2125.42u
32
+ ··· − 2849.74u + 296.102
−u
32
− 2u
31
+ ··· + 2u − 1
a
7
=
−1384.12u
33
− 2643.47u
32
+ ··· − 3536.51u + 365.548
−149.333u
33
− 283.984u
32
+ ··· − 390.485u + 44.9332
a
10
=
590.908u
33
+ 1191.12u
32
+ ··· + 1144.73u + 50.5712
916.334u
33
+ 1781.37u
32
+ ··· + 2183.25u − 152.570
a
1
=
554.774u
33
+ 1056.88u
32
+ ··· + 1661.96u − 256.804
−516.139u
33
− 1014.13u
32
+ ··· − 1110.44u + 23.5159
a
2
=
883.783u
33
+ 1264.11u
32
+ ··· + 3226.37u − 1023.23
312.911u
33
+ 778.291u
32
+ ··· + 192.133u + 395.932
a
6
=
150.030u
33
+ 648.213u
32
+ ··· − 770.626u + 790.491
134.517u
33
+ 442.863u
32
+ ··· − 28.6665u + 286.129
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
681255538290
540898481
u
33
+
449330303021
540898481
u
32
+ ··· −
5577298219768
540898481
u +
4001351864909
540898481
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
34
− 19u
33
+ ··· − 10u + 1
c
2
u
34
+ u
33
+ ··· + 2u + 1
c
3
u
34
− 7u
32
+ ··· − 3u + 1
c
4
u
34
+ 2u
33
+ ··· − u + 1
c
5
u
34
− u
33
+ ··· − 2u + 1
c
6
u
34
− 3u
33
+ ··· + 2u + 1
c
7
u
34
+ u
33
+ ··· − 2u + 1
c
8
u
34
+ u
31
+ ··· − u + 1
c
9
u
34
− 16u
33
+ ··· − 4u + 1
c
10
u
34
+ 18u
33
+ ··· + 17u + 1
c
11
u
34
− 2u
33
+ ··· + u + 1
c
12
u
34
− 2u
33
+ ··· + u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ y
33
+ ··· − 10y + 1
c
2
, c
5
y
34
− 19y
33
+ ··· − 10y + 1
c
3
y
34
− 14y
33
+ ··· − 5y + 1
c
4
, c
11
y
34
+ 18y
33
+ ··· + 31y + 1
c
6
y
34
+ 17y
33
+ ··· − 42y + 1
c
7
y
34
+ 11y
33
+ ··· + 2y + 1
c
8
y
34
+ 18y
32
+ ··· − 19y + 1
c
9
y
34
+ 10y
33
+ ··· − 14y + 1
c
10
y
34
+ 8y
33
+ ··· + 15y + 1
c
12
y
34
+ 2y
33
+ ··· + 11y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.435147 + 0.917496I
a = −1.55311 − 0.27289I
b = 1.165440 − 0.037689I
−0.36155 + 3.60801I −2.66183 − 7.35374I
u = 0.435147 − 0.917496I
a = −1.55311 + 0.27289I
b = 1.165440 + 0.037689I
−0.36155 − 3.60801I −2.66183 + 7.35374I
u = −0.758939 + 0.873640I
a = 0.923638 − 0.232048I
b = −0.733903 − 0.122515I
−0.683463 − 0.488389I 0
u = −0.758939 − 0.873640I
a = 0.923638 + 0.232048I
b = −0.733903 + 0.122515I
−0.683463 + 0.488389I 0
u = 0.164838 + 0.804978I
a = −1.96034 − 1.17708I
b = 1.28908 + 1.22073I
0.770359 − 0.947839I 2.96970 + 1.15611I
u = 0.164838 − 0.804978I
a = −1.96034 + 1.17708I
b = 1.28908 − 1.22073I
0.770359 + 0.947839I 2.96970 − 1.15611I
u = −0.473156 + 1.148290I
a = 0.912788 − 0.850913I
b = −1.011110 − 0.523545I
−6.84318 − 7.09948I 0
u = −0.473156 − 1.148290I
a = 0.912788 + 0.850913I
b = −1.011110 + 0.523545I
−6.84318 + 7.09948I 0
u = 0.383917 + 1.188110I
a = −1.53287 − 0.62239I
b = 1.089140 − 0.736264I
−4.10643 + 5.00632I 0
u = 0.383917 − 1.188110I
a = −1.53287 + 0.62239I
b = 1.089140 + 0.736264I
−4.10643 − 5.00632I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.339673 + 1.212470I
a = 1.89695 − 0.27063I
b = −1.091920 − 0.882603I
−6.61988 − 2.59813I 0
u = −0.339673 − 1.212470I
a = 1.89695 + 0.27063I
b = −1.091920 + 0.882603I
−6.61988 + 2.59813I 0
u = −0.121402 + 0.722072I
a = 1.74926 − 1.11307I
b = −0.680289 + 1.221860I
1.61406 − 3.40916I 1.37182 + 5.71080I
u = −0.121402 − 0.722072I
a = 1.74926 + 1.11307I
b = −0.680289 − 1.221860I
1.61406 + 3.40916I 1.37182 − 5.71080I
u = 1.252420 + 0.266938I
a = −0.222023 − 0.194384I
b = 0.494668 − 0.025553I
2.56577 + 1.39254I 0
u = 1.252420 − 0.266938I
a = −0.222023 + 0.194384I
b = 0.494668 + 0.025553I
2.56577 − 1.39254I 0
u = −0.330918 + 1.244120I
a = 1.82411 + 0.10620I
b = −1.010610 − 0.939880I
−5.71451 − 10.35650I 0
u = −0.330918 − 1.244120I
a = 1.82411 − 0.10620I
b = −1.010610 + 0.939880I
−5.71451 + 10.35650I 0
u = 0.351862 + 1.245040I
a = −1.61405 − 0.01453I
b = 0.991001 − 0.883778I
−3.17427 + 5.80657I 0
u = 0.351862 − 1.245040I
a = −1.61405 + 0.01453I
b = 0.991001 + 0.883778I
−3.17427 − 5.80657I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.022014 + 0.684432I
a = −2.04104 − 0.76196I
b = −0.113872 + 1.279990I
−2.97861 + 8.86716I −6.59878 − 9.58148I
u = −0.022014 − 0.684432I
a = −2.04104 + 0.76196I
b = −0.113872 − 1.279990I
−2.97861 − 8.86716I −6.59878 + 9.58148I
u = −0.000494 + 0.658351I
a = 1.99888 − 0.89686I
b = −0.002205 + 1.161980I
−0.18895 − 4.22549I −3.08347 + 6.05843I
u = −0.000494 − 0.658351I
a = 1.99888 + 0.89686I
b = −0.002205 − 1.161980I
−0.18895 + 4.22549I −3.08347 − 6.05843I
u = −0.056563 + 0.632693I
a = −2.17898 − 0.92610I
b = −0.215366 + 1.023850I
−3.94330 + 0.69175I −7.74314 − 2.45282I
u = −0.056563 − 0.632693I
a = −2.17898 + 0.92610I
b = −0.215366 − 1.023850I
−3.94330 − 0.69175I −7.74314 + 2.45282I
u = −0.890990 + 1.046280I
a = 0.015621 − 0.420391I
b = −0.649100 − 0.234475I
−5.39501 + 1.92326I 0
u = −0.890990 − 1.046280I
a = 0.015621 + 0.420391I
b = −0.649100 + 0.234475I
−5.39501 − 1.92326I 0
u = −1.296000 + 0.545456I
a = 0.385960 − 0.163853I
b = −0.502834 − 0.069460I
0.98080 − 6.28329I 0
u = −1.296000 − 0.545456I
a = 0.385960 + 0.163853I
b = −0.502834 + 0.069460I
0.98080 + 6.28329I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.48668 + 1.37361I
a = −0.680861 − 0.069385I
b = 0.687870 − 0.698394I
−2.53302 + 4.00004I 0
u = 0.48668 − 1.37361I
a = −0.680861 + 0.069385I
b = 0.687870 + 0.698394I
−2.53302 − 4.00004I 0
u = 0.215289 + 0.361964I
a = 2.57608 − 0.38967I
b = 0.294011 + 0.345385I
−1.22230 − 2.06774I −5.00899 − 0.88679I
u = 0.215289 − 0.361964I
a = 2.57608 + 0.38967I
b = 0.294011 − 0.345385I
−1.22230 + 2.06774I −5.00899 + 0.88679I
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 19u
33
+ ··· − 10u + 1)(u
169
+ 88u
168
+ ··· + 10u + 1)
c
2
(u
34
+ u
33
+ ··· + 2u + 1)(u
169
+ 4u
168
+ ··· + 2u + 1)
c
3
(u
34
− 7u
32
+ ··· − 3u + 1)(u
169
− u
168
+ ··· − 1643667u + 823471)
c
4
(u
34
+ 2u
33
+ ··· − u + 1)(u
169
+ u
168
+ ··· + 2025u + 1993)
c
5
(u
34
− u
33
+ ··· − 2u + 1)(u
169
+ 4u
168
+ ··· + 2u + 1)
c
6
(u
34
− 3u
33
+ ··· + 2u + 1)(u
169
+ 12u
168
+ ··· + 763606u + 385669)
c
7
(u
34
+ u
33
+ ··· − 2u + 1)(u
169
+ 2u
168
+ ··· − 64u + 1)
c
8
(u
34
+ u
31
+ ··· − u + 1)
· (u
169
+ u
168
+ ··· − 423737259u + 188817887)
c
9
(u
34
− 16u
33
+ ··· − 4u + 1)(u
169
− 3u
168
+ ··· + 8406u + 459)
c
10
(u
34
+ 18u
33
+ ··· + 17u + 1)(u
169
+ 17u
168
+ ··· + 65005u + 5071)
c
11
(u
34
− 2u
33
+ ··· + u + 1)(u
169
+ u
168
+ ··· + 2025u + 1993)
c
12
(u
34
− 2u
33
+ ··· + u + 1)(u
169
+ 17u
168
+ ··· − 1043253u − 63901)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ y
33
+ ··· − 10y + 1)(y
169
− 4y
168
+ ··· + 126y −1)
c
2
, c
5
(y
34
− 19y
33
+ ··· − 10y + 1)(y
169
− 88y
168
+ ··· + 10y −1)
c
3
(y
34
− 14y
33
+ ··· − 5y + 1)
· (y
169
− 31y
168
+ ··· + 8943525035817y −678104487841)
c
4
, c
11
(y
34
+ 18y
33
+ ··· + 31y + 1)
· (y
169
+ 101y
168
+ ··· − 158878943y −3972049)
c
6
(y
34
+ 17y
33
+ ··· − 42y + 1)
· (y
169
+ 96y
168
+ ··· + 1430818496714y −148740577561)
c
7
(y
34
+ 11y
33
+ ··· + 2y + 1)(y
169
+ 14y
168
+ ··· + 122y −1)
c
8
(y
34
+ 18y
32
+ ··· − 19y + 1)
· (y
169
− 53y
168
+ ··· + 1817884010224232283y −35652194451144769)
c
9
(y
34
+ 10y
33
+ ··· − 14y + 1)
· (y
169
+ 17y
168
+ ··· − 3881682y −210681)
c
10
(y
34
+ 8y
33
+ ··· + 15y + 1)
· (y
169
− 41y
168
+ ··· − 5001642995y −25715041)
c
12
(y
34
+ 2y
33
+ ··· + 11y + 1)
· (y
169
+ 33y
168
+ ··· − 90651327247y −4083337801)
32
