12a
0962
(K12a
0962
)
A knot diagram
1
Linearized knot diagam
4 6 10 12 2 9 1 11 3 7 5 8
Solving Sequence
8,12 1,5
4 2 7 11 9 6 10 3
c
12
c
4
c
1
c
7
c
11
c
8
c
6
c
10
c
3
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.47858 × 10
906
u
167
− 1.86588 × 10
906
u
166
+ ··· + 2.81415 × 10
907
b − 2.43977 × 10
910
,
− 9.74692 × 10
910
u
167
− 1.64355 × 10
911
u
166
+ ··· + 3.51515 × 10
911
a − 7.67366 × 10
914
,
u
168
+ 2u
167
+ ··· + 5047u − 12491i
I
u
2
= h2.04586 × 10
50
u
48
+ 1.66191 × 10
50
u
47
+ ··· + 1.22185 × 10
49
b + 6.36745 × 10
50
,
2.72498 × 10
51
u
48
+ 1.13526 × 10
51
u
47
+ ··· + 8.55296 × 10
49
a + 3.50591 × 10
52
, u
49
+ u
48
+ ··· − 19u − 7i
* 2 irreducible components of dim
C
= 0, with total 217 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−1.48 × 10
906
u
167
− 1.87 × 10
906
u
166
+ · · · + 2.81 × 10
907
b − 2.44 ×
10
910
, −9.75 × 10
910
u
167
− 1.64 × 10
911
u
166
+ · · · + 3.52 × 10
911
a − 7.67 ×
10
914
, u
168
+ 2u
167
+ · · · + 5047u − 12491i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
0.277283u
167
+ 0.467562u
166
+ ··· − 7171.07u + 2183.02
0.0525410u
167
+ 0.0663036u
166
+ ··· − 1722.43u + 866.965
a
4
=
0.329824u
167
+ 0.533866u
166
+ ··· − 8893.50u + 3049.99
0.0525410u
167
+ 0.0663036u
166
+ ··· − 1722.43u + 866.965
a
2
=
−0.474713u
167
− 0.734990u
166
+ ··· + 11669.8u − 5374.80
0.0652619u
167
+ 0.172891u
166
+ ··· − 691.352u − 949.598
a
7
=
−u
u
3
+ u
a
11
=
0.182365u
167
+ 0.456811u
166
+ ··· − 3559.96u − 1998.14
0.0592164u
167
+ 0.164564u
166
+ ··· − 1628.68u − 776.813
a
9
=
0.209000u
167
+ 0.592035u
166
+ ··· − 3261.57u − 3553.75
−0.00209783u
167
− 0.0814685u
166
+ ··· − 172.095u + 1475.68
a
6
=
−0.387045u
167
− 0.716368u
166
+ ··· + 8369.78u − 1384.09
0.0874866u
167
+ 0.240025u
166
+ ··· − 1771.47u − 1142.82
a
10
=
0.248860u
167
+ 0.638379u
166
+ ··· − 4901.42u − 2990.00
0.0303659u
167
+ 0.0906564u
166
+ ··· − 872.648u − 391.732
a
3
=
0.342467u
167
+ 0.755504u
166
+ ··· − 6879.19u − 1168.44
0.0000903648u
167
− 0.0687298u
166
+ ··· − 923.769u + 1485.07
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.114789u
167
+ 0.346935u
166
+ ··· − 3505.02u − 4107.41
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
168
− 16u
167
+ ··· − 7296363u − 2529737
c
2
, c
5
u
168
+ 4u
167
+ ··· − 16865158u − 846613
c
3
, c
9
u
168
+ u
167
+ ··· − 150117u + 83053
c
4
, c
11
u
168
+ 2u
167
+ ··· − 1178u − 1129
c
6
u
168
+ 12u
167
+ ··· + 4386421103u + 2616924533
c
7
, c
12
u
168
− 2u
167
+ ··· − 5047u − 12491
c
8
u
168
+ 16u
167
+ ··· − 1222355035u − 68295775
c
10
u
168
− 4u
167
+ ··· − 1722u − 677
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
168
− 32y
167
+ ··· + 548413938838239y + 6399569289169
c
2
, c
5
y
168
− 140y
167
+ ··· − 42252653628006y + 716753571769
c
3
, c
9
y
168
− 117y
167
+ ··· − 182975736347y + 6897800809
c
4
, c
11
y
168
+ 88y
167
+ ··· + 25277038y + 1274641
c
6
y
168
+ 64y
167
+ ··· + 1.24 × 10
20
y + 6.85 × 10
18
c
7
, c
12
y
168
+ 96y
167
+ ··· + 5492077293y + 156025081
c
8
y
168
+ 4y
167
+ ··· − 21823179596653325y + 4664312882850625
c
10
y
168
+ 8y
167
+ ··· + 19733172y + 458329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.918428 + 0.430989I
a = 0.341011 − 1.168160I
b = −0.047844 + 0.978748I
1.99142 − 1.64104I 0
u = −0.918428 − 0.430989I
a = 0.341011 + 1.168160I
b = −0.047844 − 0.978748I
1.99142 + 1.64104I 0
u = 0.393513 + 0.875679I
a = 1.81243 + 0.73273I
b = 0.177717 − 1.043040I
3.33667 + 0.47075I 0
u = 0.393513 − 0.875679I
a = 1.81243 − 0.73273I
b = 0.177717 + 1.043040I
3.33667 − 0.47075I 0
u = 0.338711 + 0.984342I
a = −1.39581 − 0.45299I
b = −0.579436 + 1.149320I
2.53310 + 4.02835I 0
u = 0.338711 − 0.984342I
a = −1.39581 + 0.45299I
b = −0.579436 − 1.149320I
2.53310 − 4.02835I 0
u = −0.110422 + 0.951381I
a = 0.246784 − 0.675413I
b = −0.620044 − 0.487533I
−6.91849 − 3.24031I 0
u = −0.110422 − 0.951381I
a = 0.246784 + 0.675413I
b = −0.620044 + 0.487533I
−6.91849 + 3.24031I 0
u = −0.673695 + 0.799316I
a = 1.00173 − 1.31177I
b = 0.545996 + 1.045430I
0.35488 − 4.10113I 0
u = −0.673695 − 0.799316I
a = 1.00173 + 1.31177I
b = 0.545996 − 1.045430I
0.35488 + 4.10113I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.703092 + 0.774776I
a = −0.111180 + 0.410345I
b = −0.630214 − 0.980362I
−1.77303 + 2.37900I 0
u = 0.703092 − 0.774776I
a = −0.111180 − 0.410345I
b = −0.630214 + 0.980362I
−1.77303 − 2.37900I 0
u = −0.342877 + 0.883393I
a = 1.094360 − 0.183388I
b = 0.599986 + 1.057760I
0.279317 − 0.050553I 0
u = −0.342877 − 0.883393I
a = 1.094360 + 0.183388I
b = 0.599986 − 1.057760I
0.279317 + 0.050553I 0
u = −0.389184 + 0.863289I
a = −0.509403 + 1.141310I
b = −0.04335 − 1.60818I
−2.32904 − 8.52063I 0
u = −0.389184 − 0.863289I
a = −0.509403 − 1.141310I
b = −0.04335 + 1.60818I
−2.32904 + 8.52063I 0
u = 1.022390 + 0.312253I
a = −0.44466 − 1.38007I
b = 0.577212 + 1.177110I
0.19320 − 7.89628I 0
u = 1.022390 − 0.312253I
a = −0.44466 + 1.38007I
b = 0.577212 − 1.177110I
0.19320 + 7.89628I 0
u = 0.989105 + 0.409632I
a = 0.33981 − 1.51674I
b = −0.396530 + 1.093670I
−3.53113 + 5.72867I 0
u = 0.989105 − 0.409632I
a = 0.33981 + 1.51674I
b = −0.396530 − 1.093670I
−3.53113 − 5.72867I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.885977 + 0.266645I
a = −0.316159 + 0.824379I
b = 0.483500 − 1.053340I
0.46078 + 2.44862I 0
u = −0.885977 − 0.266645I
a = −0.316159 − 0.824379I
b = 0.483500 + 1.053340I
0.46078 − 2.44862I 0
u = −0.088094 + 0.920499I
a = 1.67252 + 1.42912I
b = 0.524871 − 1.028110I
−6.60170 + 2.25140I 0
u = −0.088094 − 0.920499I
a = 1.67252 − 1.42912I
b = 0.524871 + 1.028110I
−6.60170 − 2.25140I 0
u = 0.190766 + 1.071030I
a = 0.149722 − 0.176152I
b = 0.691814 + 0.435694I
−1.88716 − 0.93904I 0
u = 0.190766 − 1.071030I
a = 0.149722 + 0.176152I
b = 0.691814 − 0.435694I
−1.88716 + 0.93904I 0
u = 0.283333 + 0.866079I
a = −2.20637 − 1.92640I
b = −0.05259 + 1.47877I
2.12329 + 1.28571I 0
u = 0.283333 − 0.866079I
a = −2.20637 + 1.92640I
b = −0.05259 − 1.47877I
2.12329 − 1.28571I 0
u = 0.453804 + 0.786407I
a = 1.20341 + 1.23121I
b = 0.10352 − 1.57851I
3.39615 + 1.90421I 0
u = 0.453804 − 0.786407I
a = 1.20341 − 1.23121I
b = 0.10352 + 1.57851I
3.39615 − 1.90421I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.093900 + 0.112508I
a = −0.37200 − 1.59647I
b = −0.373242 + 1.086890I
1.09890 + 3.56092I 0
u = 1.093900 − 0.112508I
a = −0.37200 + 1.59647I
b = −0.373242 − 1.086890I
1.09890 − 3.56092I 0
u = −0.192768 + 1.092600I
a = 0.263671 + 0.086622I
b = 1.40798 − 0.62713I
−10.72030 − 2.59279I 0
u = −0.192768 − 1.092600I
a = 0.263671 − 0.086622I
b = 1.40798 + 0.62713I
−10.72030 + 2.59279I 0
u = −0.886442
a = −0.0999926
b = −0.639703
−2.00652 0
u = 0.285591 + 1.076660I
a = 0.212952 + 0.452076I
b = 1.40173 + 0.41490I
−10.96720 − 0.56342I 0
u = 0.285591 − 1.076660I
a = 0.212952 − 0.452076I
b = 1.40173 − 0.41490I
−10.96720 + 0.56342I 0
u = 1.032420 + 0.426670I
a = 0.49873 + 1.41425I
b = −0.364067 − 1.083950I
4.08546 − 3.26828I 0
u = 1.032420 − 0.426670I
a = 0.49873 − 1.41425I
b = −0.364067 + 1.083950I
4.08546 + 3.26828I 0
u = −0.287148 + 1.086030I
a = 2.27784 − 0.17436I
b = 0.352860 + 1.154770I
−4.50225 − 8.97758I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.287148 − 1.086030I
a = 2.27784 + 0.17436I
b = 0.352860 − 1.154770I
−4.50225 + 8.97758I 0
u = −0.404383 + 1.054120I
a = −0.76593 + 1.54288I
b = −0.629492 − 0.821694I
−5.73161 − 0.72554I 0
u = −0.404383 − 1.054120I
a = −0.76593 − 1.54288I
b = −0.629492 + 0.821694I
−5.73161 + 0.72554I 0
u = 0.015129 + 0.868959I
a = −0.596248 − 0.271674I
b = −1.61124 − 0.12973I
−9.36884 + 1.82484I 0
u = 0.015129 − 0.868959I
a = −0.596248 + 0.271674I
b = −1.61124 + 0.12973I
−9.36884 − 1.82484I 0
u = −0.194063 + 0.845402I
a = −0.155968 − 1.006410I
b = −0.32653 + 1.60337I
0.75233 − 2.40435I 0
u = −0.194063 − 0.845402I
a = −0.155968 + 1.006410I
b = −0.32653 − 1.60337I
0.75233 + 2.40435I 0
u = 0.849667 + 0.054299I
a = 0.244224 − 1.123670I
b = −0.822413 + 0.229312I
−6.67699 − 8.56915I 0
u = 0.849667 − 0.054299I
a = 0.244224 + 1.123670I
b = −0.822413 − 0.229312I
−6.67699 + 8.56915I 0
u = 0.587924 + 0.987567I
a = −0.100488 − 0.910471I
b = 0.221778 + 1.155540I
−1.56426 + 1.85084I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.587924 − 0.987567I
a = −0.100488 + 0.910471I
b = 0.221778 − 1.155540I
−1.56426 − 1.85084I 0
u = 0.632026 + 0.963981I
a = 0.46175 + 1.65772I
b = 0.680728 − 0.631130I
−8.69514 + 6.97624I 0
u = 0.632026 − 0.963981I
a = 0.46175 − 1.65772I
b = 0.680728 + 0.631130I
−8.69514 − 6.97624I 0
u = −1.161320 + 0.063463I
a = 0.101422 + 1.292670I
b = 0.349573 − 0.998205I
1.77020 + 2.34542I 0
u = −1.161320 − 0.063463I
a = 0.101422 − 1.292670I
b = 0.349573 + 0.998205I
1.77020 − 2.34542I 0
u = −0.517247 + 0.644614I
a = −1.46538 + 0.90474I
b = −0.215238 − 1.319840I
−1.78354 + 4.75411I 0
u = −0.517247 − 0.644614I
a = −1.46538 − 0.90474I
b = −0.215238 + 1.319840I
−1.78354 − 4.75411I 0
u = 0.567888 + 1.035140I
a = −0.54400 − 1.92403I
b = −0.371641 + 1.050350I
−3.30124 + 4.81565I 0
u = 0.567888 − 1.035140I
a = −0.54400 + 1.92403I
b = −0.371641 − 1.050350I
−3.30124 − 4.81565I 0
u = −0.364179 + 1.125550I
a = 0.071295 − 0.187691I
b = 1.028750 − 0.143038I
−1.83017 − 3.68261I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.364179 − 1.125550I
a = 0.071295 + 0.187691I
b = 1.028750 + 0.143038I
−1.83017 + 3.68261I 0
u = 0.498697 + 0.644857I
a = 1.46756 + 0.77057I
b = 0.845950 − 0.658328I
−1.28239 + 2.37269I 0
u = 0.498697 − 0.644857I
a = 1.46756 − 0.77057I
b = 0.845950 + 0.658328I
−1.28239 − 2.37269I 0
u = −0.208482 + 1.184020I
a = 1.80251 − 1.86165I
b = 0.319387 + 0.941875I
−8.80056 − 7.50667I 0
u = −0.208482 − 1.184020I
a = 1.80251 + 1.86165I
b = 0.319387 − 0.941875I
−8.80056 + 7.50667I 0
u = −0.400330 + 1.133910I
a = −1.50481 + 0.27252I
b = −0.269885 − 0.968468I
−0.07190 − 5.94409I 0
u = −0.400330 − 1.133910I
a = −1.50481 − 0.27252I
b = −0.269885 + 0.968468I
−0.07190 + 5.94409I 0
u = 0.320304 + 0.713430I
a = 0.45500 + 2.08722I
b = 0.054996 − 1.324430I
3.91872 + 2.79904I 0
u = 0.320304 − 0.713430I
a = 0.45500 − 2.08722I
b = 0.054996 + 1.324430I
3.91872 − 2.79904I 0
u = −1.195420 + 0.242553I
a = 0.280569 − 1.381860I
b = −0.561035 + 1.168040I
−3.9328 + 13.6749I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.195420 − 0.242553I
a = 0.280569 + 1.381860I
b = −0.561035 − 1.168040I
−3.9328 − 13.6749I 0
u = 0.300226 + 0.718752I
a = −3.10168 − 1.15356I
b = 0.068278 + 0.600458I
−2.18487 − 1.07120I 0
u = 0.300226 − 0.718752I
a = −3.10168 + 1.15356I
b = 0.068278 − 0.600458I
−2.18487 + 1.07120I 0
u = −0.463447 + 1.137320I
a = 0.063693 + 0.333823I
b = −1.271070 + 0.455285I
−5.40421 − 6.76861I 0
u = −0.463447 − 1.137320I
a = 0.063693 − 0.333823I
b = −1.271070 − 0.455285I
−5.40421 + 6.76861I 0
u = 0.382791 + 1.168610I
a = −0.360291 − 0.035985I
b = −0.896285 − 0.453907I
−4.08870 + 3.02478I 0
u = 0.382791 − 1.168610I
a = −0.360291 + 0.035985I
b = −0.896285 + 0.453907I
−4.08870 − 3.02478I 0
u = 0.017945 + 0.769779I
a = 4.09201 + 0.09269I
b = 0.118614 + 0.630587I
−6.78657 + 6.60631I 0
u = 0.017945 − 0.769779I
a = 4.09201 − 0.09269I
b = 0.118614 − 0.630587I
−6.78657 − 6.60631I 0
u = −0.374638 + 1.172600I
a = −1.16503 + 1.39669I
b = −0.474626 − 1.201460I
−3.95980 − 6.40030I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.374638 − 1.172600I
a = −1.16503 − 1.39669I
b = −0.474626 + 1.201460I
−3.95980 + 6.40030I 0
u = −0.137359 + 0.734731I
a = −1.44298 + 1.96794I
b = −0.581645 − 1.027780I
−5.34187 − 1.52857I 0
u = −0.137359 − 0.734731I
a = −1.44298 − 1.96794I
b = −0.581645 + 1.027780I
−5.34187 + 1.52857I 0
u = −0.468020 + 1.164730I
a = −0.579528 + 0.174086I
b = 0.725873 − 0.939138I
−7.82307 − 1.63494I 0
u = −0.468020 − 1.164730I
a = −0.579528 − 0.174086I
b = 0.725873 + 0.939138I
−7.82307 + 1.63494I 0
u = −0.653691 + 1.073370I
a = −0.958442 + 0.870715I
b = −0.745985 − 0.974875I
−1.87552 − 7.94764I 0
u = −0.653691 − 1.073370I
a = −0.958442 − 0.870715I
b = −0.745985 + 0.974875I
−1.87552 + 7.94764I 0
u = −0.470605 + 1.180600I
a = 1.09591 − 1.26059I
b = 0.72448 + 1.35194I
−7.73056 − 6.75855I 0
u = −0.470605 − 1.180600I
a = 1.09591 + 1.26059I
b = 0.72448 − 1.35194I
−7.73056 + 6.75855I 0
u = −0.623096 + 1.117180I
a = 0.758813 − 1.152880I
b = 0.532355 + 1.067250I
−0.02398 − 3.75865I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.623096 − 1.117180I
a = 0.758813 + 1.152880I
b = 0.532355 − 1.067250I
−0.02398 + 3.75865I 0
u = 0.186246 + 1.281110I
a = 0.131549 − 0.566632I
b = 0.463955 − 0.504067I
−8.18766 + 1.97091I 0
u = 0.186246 − 1.281110I
a = 0.131549 + 0.566632I
b = 0.463955 + 0.504067I
−8.18766 − 1.97091I 0
u = 0.426977 + 1.225240I
a = −0.0756325 − 0.0454064I
b = −1.057070 − 0.169837I
−4.97392 + 7.85528I 0
u = 0.426977 − 1.225240I
a = −0.0756325 + 0.0454064I
b = −1.057070 + 0.169837I
−4.97392 − 7.85528I 0
u = 1.196830 + 0.505602I
a = −0.031968 − 1.389730I
b = 0.303734 + 0.832679I
1.154930 − 0.329553I 0
u = 1.196830 − 0.505602I
a = −0.031968 + 1.389730I
b = 0.303734 − 0.832679I
1.154930 + 0.329553I 0
u = 0.531065 + 0.453610I
a = 0.0832565 − 0.0164138I
b = 0.541186 + 0.260859I
−1.50565 − 0.13120I 0
u = 0.531065 − 0.453610I
a = 0.0832565 + 0.0164138I
b = 0.541186 − 0.260859I
−1.50565 + 0.13120I 0
u = 1.217010 + 0.463553I
a = −0.358449 − 1.235130I
b = 0.038366 + 0.745851I
−0.51048 + 4.26435I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.217010 − 0.463553I
a = −0.358449 + 1.235130I
b = 0.038366 − 0.745851I
−0.51048 − 4.26435I 0
u = −0.685973 + 0.096441I
a = 0.72343 − 1.87385I
b = −0.547170 + 1.189610I
−4.60465 + 2.36684I 0
u = −0.685973 − 0.096441I
a = 0.72343 + 1.87385I
b = −0.547170 − 1.189610I
−4.60465 − 2.36684I 0
u = 0.242092 + 0.648756I
a = −0.271085 − 1.157720I
b = 0.26415 + 1.41721I
3.70763 − 1.21600I 0
u = 0.242092 − 0.648756I
a = −0.271085 + 1.157720I
b = 0.26415 − 1.41721I
3.70763 + 1.21600I 0
u = 0.053917 + 0.671896I
a = −1.96952 − 0.03798I
b = −0.764795 + 0.793992I
0.93435 + 1.49414I 0
u = 0.053917 − 0.671896I
a = −1.96952 + 0.03798I
b = −0.764795 − 0.793992I
0.93435 − 1.49414I 0
u = 0.500038 + 1.236460I
a = −0.009406 + 0.228270I
b = 1.198670 + 0.383080I
−10.1882 + 13.4664I 0
u = 0.500038 − 1.236460I
a = −0.009406 − 0.228270I
b = 1.198670 − 0.383080I
−10.1882 − 13.4664I 0
u = −1.298650 + 0.356982I
a = −0.344975 + 1.274770I
b = 0.386235 − 1.070080I
1.50647 + 6.74866I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.298650 − 0.356982I
a = −0.344975 − 1.274770I
b = 0.386235 + 1.070080I
1.50647 − 6.74866I 0
u = −0.463376 + 1.271990I
a = −0.053363 − 0.195450I
b = −0.598207 + 0.586680I
−2.72797 − 3.03924I 0
u = −0.463376 − 1.271990I
a = −0.053363 + 0.195450I
b = −0.598207 − 0.586680I
−2.72797 + 3.03924I 0
u = 0.417836 + 1.287680I
a = 0.691187 + 0.872887I
b = 0.79236 − 1.25085I
−8.36954 + 10.13420I 0
u = 0.417836 − 1.287680I
a = 0.691187 − 0.872887I
b = 0.79236 + 1.25085I
−8.36954 − 10.13420I 0
u = 0.100639 + 1.354940I
a = −0.210551 − 0.333306I
b = −0.645210 − 0.026152I
−7.22142 + 2.08195I 0
u = 0.100639 − 1.354940I
a = −0.210551 + 0.333306I
b = −0.645210 + 0.026152I
−7.22142 − 2.08195I 0
u = −0.751048 + 1.137610I
a = 0.859804 − 0.727684I
b = −0.154559 + 0.651543I
−5.50240 − 2.99475I 0
u = −0.751048 − 1.137610I
a = 0.859804 + 0.727684I
b = −0.154559 − 0.651543I
−5.50240 + 2.99475I 0
u = 0.639397 + 1.206910I
a = 0.80533 + 1.35613I
b = 0.574051 − 1.246420I
1.53831 + 9.29794I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.639397 − 1.206910I
a = 0.80533 − 1.35613I
b = 0.574051 + 1.246420I
1.53831 − 9.29794I 0
u = −0.615226 + 0.147340I
a = 0.59285 + 1.56118I
b = 0.079632 − 1.202400I
2.74356 + 2.15031I 0
u = −0.615226 − 0.147340I
a = 0.59285 − 1.56118I
b = 0.079632 + 1.202400I
2.74356 − 2.15031I 0
u = −0.616358 + 0.136035I
a = −0.37068 − 1.54143I
b = 0.885019 + 0.222869I
−2.60549 + 2.58676I 0
u = −0.616358 − 0.136035I
a = −0.37068 + 1.54143I
b = 0.885019 − 0.222869I
−2.60549 − 2.58676I 0
u = 0.448702 + 1.296740I
a = 0.61956 + 1.30184I
b = 0.541357 − 0.773438I
−10.61730 − 3.84446I 0
u = 0.448702 − 1.296740I
a = 0.61956 − 1.30184I
b = 0.541357 + 0.773438I
−10.61730 + 3.84446I 0
u = 0.138283 + 1.367300I
a = 0.0340551 + 0.0011414I
b = −0.549064 − 0.768886I
−5.92838 − 3.92448I 0
u = 0.138283 − 1.367300I
a = 0.0340551 − 0.0011414I
b = −0.549064 + 0.768886I
−5.92838 + 3.92448I 0
u = −0.453160 + 1.300540I
a = 0.410646 − 0.229635I
b = 0.729160 − 0.310654I
−6.01867 − 4.77211I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.453160 − 1.300540I
a = 0.410646 + 0.229635I
b = 0.729160 + 0.310654I
−6.01867 + 4.77211I 0
u = 0.625310 + 1.229450I
a = −0.92902 − 1.32744I
b = −0.74318 + 1.27923I
−2.67509 + 13.82040I 0
u = 0.625310 − 1.229450I
a = −0.92902 + 1.32744I
b = −0.74318 − 1.27923I
−2.67509 − 13.82040I 0
u = −1.15823 + 0.81752I
a = 0.062390 − 1.136890I
b = −0.298608 + 0.988335I
0.79015 − 2.51030I 0
u = −1.15823 − 0.81752I
a = 0.062390 + 1.136890I
b = −0.298608 − 0.988335I
0.79015 + 2.51030I 0
u = −0.33335 + 1.38851I
a = 0.239322 + 0.117930I
b = −0.284084 + 0.671773I
−4.70929 − 1.88233I 0
u = −0.33335 − 1.38851I
a = 0.239322 − 0.117930I
b = −0.284084 − 0.671773I
−4.70929 + 1.88233I 0
u = 0.47591 + 1.35404I
a = −0.463534 − 1.075220I
b = −0.471261 + 1.136050I
−4.21809 + 2.02932I 0
u = 0.47591 − 1.35404I
a = −0.463534 + 1.075220I
b = −0.471261 − 1.136050I
−4.21809 − 2.02932I 0
u = 0.437705 + 0.355690I
a = 1.220230 + 0.405055I
b = −0.833237 − 0.221466I
−7.48740 − 2.70537I −7.88083 + 1.30992I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.437705 − 0.355690I
a = 1.220230 − 0.405055I
b = −0.833237 + 0.221466I
−7.48740 + 2.70537I −7.88083 − 1.30992I
u = 0.514969 + 0.229311I
a = −0.73740 − 1.46940I
b = 0.204497 − 0.221576I
−1.11767 + 3.99381I −4.41433 − 5.84845I
u = 0.514969 − 0.229311I
a = −0.73740 + 1.46940I
b = 0.204497 + 0.221576I
−1.11767 − 3.99381I −4.41433 + 5.84845I
u = −0.201183 + 0.520989I
a = 0.35420 − 2.97037I
b = −0.302486 + 1.319040I
−2.62996 + 6.52516I − 61.024072 + 0.10I
u = −0.201183 − 0.520989I
a = 0.35420 + 2.97037I
b = −0.302486 − 1.319040I
−2.62996 − 6.52516I − 61.024072 + 0.10I
u = 0.13559 + 1.44059I
a = 0.387737 + 0.563233I
b = 0.330025 + 0.807183I
−9.25451 + 4.68011I 0
u = 0.13559 − 1.44059I
a = 0.387737 − 0.563233I
b = 0.330025 − 0.807183I
−9.25451 − 4.68011I 0
u = −0.62339 + 1.30971I
a = −0.931218 + 0.988311I
b = −0.629501 − 1.112880I
−2.05664 − 8.60447I 0
u = −0.62339 − 1.30971I
a = −0.931218 − 0.988311I
b = −0.629501 + 1.112880I
−2.05664 + 8.60447I 0
u = −0.65324 + 1.31649I
a = 0.88776 − 1.28013I
b = 0.70755 + 1.26938I
−7.3426 − 20.1757I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.65324 − 1.31649I
a = 0.88776 + 1.28013I
b = 0.70755 − 1.26938I
−7.3426 + 20.1757I 0
u = −0.521703 + 0.055696I
a = 0.941070 − 0.793438I
b = −0.264700 − 0.036218I
1.317900 − 0.509813I 5.22413 + 0.64924I
u = −0.521703 − 0.055696I
a = 0.941070 + 0.793438I
b = −0.264700 + 0.036218I
1.317900 + 0.509813I 5.22413 − 0.64924I
u = −0.69637 + 1.31088I
a = −0.69483 + 1.26304I
b = −0.596783 − 1.254270I
−1.64907 − 13.67180I 0
u = −0.69637 − 1.31088I
a = −0.69483 − 1.26304I
b = −0.596783 + 1.254270I
−1.64907 + 13.67180I 0
u = 0.75692 + 1.29037I
a = −0.76666 − 1.23280I
b = −0.510781 + 0.996997I
−1.50335 + 7.43116I 0
u = 0.75692 − 1.29037I
a = −0.76666 + 1.23280I
b = −0.510781 − 0.996997I
−1.50335 − 7.43116I 0
u = 0.042673 + 0.486265I
a = −3.09137 + 0.09842I
b = 0.014752 − 0.730940I
−1.04074 + 3.88371I −4.76438 − 3.94591I
u = 0.042673 − 0.486265I
a = −3.09137 − 0.09842I
b = 0.014752 + 0.730940I
−1.04074 − 3.88371I −4.76438 + 3.94591I
u = 0.58883 + 1.43183I
a = 1.05854 + 1.02995I
b = 0.559517 − 1.122400I
−3.67408 + 9.67751I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.58883 − 1.43183I
a = 1.05854 − 1.02995I
b = 0.559517 + 1.122400I
−3.67408 − 9.67751I 0
u = −0.93650 + 1.23508I
a = 0.23115 − 1.43002I
b = 0.399501 + 1.090830I
−5.47512 − 4.50475I 0
u = −0.93650 − 1.23508I
a = 0.23115 + 1.43002I
b = 0.399501 − 1.090830I
−5.47512 + 4.50475I 0
u = −0.24250 + 1.58273I
a = 0.004550 + 0.298601I
b = 0.516139 − 0.849885I
−10.39630 + 8.10898I 0
u = −0.24250 − 1.58273I
a = 0.004550 − 0.298601I
b = 0.516139 + 0.849885I
−10.39630 − 8.10898I 0
u = 0.351215
a = 0.875886
b = 0.452159
−0.916788 −12.2520
u = 0.40660 + 1.64881I
a = −0.211239 − 0.428444I
b = 0.161074 + 0.538146I
−7.56751 + 1.49112I 0
u = 0.40660 − 1.64881I
a = −0.211239 + 0.428444I
b = 0.161074 − 0.538146I
−7.56751 − 1.49112I 0
21
II.
I
u
2
= h2.05 × 10
50
u
48
+ 1.66 × 10
50
u
47
+ · · · + 1.22 × 10
49
b + 6.37 × 10
50
, 2.72 ×
10
51
u
48
+1.14×10
51
u
47
+· · ·+8.55×10
49
a+3.51×10
52
, u
49
+u
48
+· · ·−19u−7i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
−31.8601u
48
− 13.2732u
47
+ ··· − 701.141u − 409.905
−16.7439u
48
− 13.6016u
47
+ ··· + 176.720u − 52.1131
a
4
=
−48.6040u
48
− 26.8748u
47
+ ··· − 524.421u − 462.018
−16.7439u
48
− 13.6016u
47
+ ··· + 176.720u − 52.1131
a
2
=
−74.7946u
48
− 93.1595u
47
+ ··· + 1582.12u + 153.170
47.0653u
48
+ 52.4638u
47
+ ··· − 1126.47u − 202.952
a
7
=
−u
u
3
+ u
a
11
=
26.5966u
48
+ 65.4840u
47
+ ··· − 1700.34u − 499.814
−44.0935u
48
− 14.5164u
47
+ ··· − 51.8761u − 276.299
a
9
=
−80.4605u
48
− 48.5265u
47
+ ··· + 88.1419u − 425.666
42.8928u
48
+ 29.3440u
47
+ ··· − 63.0539u + 164.568
a
6
=
84.9938u
48
+ 116.386u
47
+ ··· − 2636.03u − 485.202
−42.6546u
48
− 52.3570u
47
+ ··· + 899.086u + 94.6871
a
10
=
17.9851u
48
+ 86.2723u
47
+ ··· − 2419.08u − 855.631
−33.3887u
48
− 18.6789u
47
+ ··· + 168.545u − 126.281
a
3
=
59.7682u
48
+ 77.2252u
47
+ ··· − 2081.96u − 444.114
−13.6193u
48
− 9.10587u
47
+ ··· − 291.476u − 258.412
(ii) Obstruction class = 1
(iii) Cusp Shapes = −29.1972u
48
− 67.2609u
47
+ ··· + 1827.64u + 890.181
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
49
− 3u
48
+ ··· − 5u − 1
c
2
u
49
+ 3u
48
+ ··· + 16u − 1
c
3
u
49
− 16u
47
+ ··· + 33u − 7
c
4
u
49
− u
48
+ ··· + 6u + 1
c
5
u
49
− 3u
48
+ ··· + 16u + 1
c
6
u
49
+ u
48
+ ··· + 113u + 19
c
7
u
49
− u
48
+ ··· − 19u + 7
c
8
u
49
+ 3u
48
+ ··· − 103u + 11
c
9
u
49
− 16u
47
+ ··· + 33u + 7
c
10
u
49
+ 3u
48
+ ··· + 6u − 1
c
11
u
49
+ u
48
+ ··· + 6u − 1
c
12
u
49
+ u
48
+ ··· − 19u − 7
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
49
− 23y
48
+ ··· − 47y −1
c
2
, c
5
y
49
− 47y
48
+ ··· + 134y −1
c
3
, c
9
y
49
− 32y
48
+ ··· + 2139y −49
c
4
, c
11
y
49
+ 29y
48
+ ··· − 14y −1
c
6
y
49
+ 9y
48
+ ··· − 4939y −361
c
7
, c
12
y
49
+ 29y
48
+ ··· − 1389y −49
c
8
y
49
− 27y
48
+ ··· − 1271y −121
c
10
y
49
− 3y
48
+ ··· + 4y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.145413 + 0.984757I
a = 0.692419 − 0.221008I
b = 1.45320 − 0.36527I
−9.88670 − 2.40913I −7.37310 + 5.87816I
u = −0.145413 − 0.984757I
a = 0.692419 + 0.221008I
b = 1.45320 + 0.36527I
−9.88670 + 2.40913I −7.37310 − 5.87816I
u = −0.136496 + 0.966404I
a = −0.152643 + 0.213169I
b = −1.51616 − 0.00786I
−9.80517 + 1.25916I −9.18622 + 2.86670I
u = −0.136496 − 0.966404I
a = −0.152643 − 0.213169I
b = −1.51616 + 0.00786I
−9.80517 − 1.25916I −9.18622 − 2.86670I
u = −0.273853 + 0.885339I
a = −2.07320 + 1.70523I
b = −0.07577 − 1.52542I
1.97383 − 1.21726I −26.7048 − 7.9600I
u = −0.273853 − 0.885339I
a = −2.07320 − 1.70523I
b = −0.07577 + 1.52542I
1.97383 + 1.21726I −26.7048 + 7.9600I
u = 1.039050 + 0.322459I
a = −0.21623 − 1.81335I
b = −0.210334 + 0.923626I
0.10844 + 4.99992I 0. − 9.67782I
u = 1.039050 − 0.322459I
a = −0.21623 + 1.81335I
b = −0.210334 − 0.923626I
0.10844 − 4.99992I 0. + 9.67782I
u = −0.476392 + 0.716842I
a = 1.13314 − 1.49944I
b = 0.079706 + 1.407610I
3.90117 − 1.98259I 7.25000 + 3.65588I
u = −0.476392 − 0.716842I
a = 1.13314 + 1.49944I
b = 0.079706 − 1.407610I
3.90117 + 1.98259I 7.25000 − 3.65588I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.159670 + 0.011697I
a = 0.19300 + 1.53872I
b = 0.389386 − 0.994492I
2.19173 + 2.85777I 0. − 5.88476I
u = −1.159670 − 0.011697I
a = 0.19300 − 1.53872I
b = 0.389386 + 0.994492I
2.19173 − 2.85777I 0. + 5.88476I
u = 0.503019 + 1.052430I
a = −1.36398 − 0.71779I
b = −0.426360 + 0.857247I
−0.88439 + 5.69502I 0
u = 0.503019 − 1.052430I
a = −1.36398 + 0.71779I
b = −0.426360 − 0.857247I
−0.88439 − 5.69502I 0
u = 0.261487 + 0.761298I
a = 3.54570 + 2.06115I
b = 0.172737 − 0.685641I
−6.64044 + 7.21451I −3.44281 − 11.03718I
u = 0.261487 − 0.761298I
a = 3.54570 − 2.06115I
b = 0.172737 + 0.685641I
−6.64044 − 7.21451I −3.44281 + 11.03718I
u = 1.129220 + 0.485630I
a = 0.142470 − 1.202770I
b = 0.222890 + 0.810587I
1.167480 + 0.164247I 0
u = 1.129220 − 0.485630I
a = 0.142470 + 1.202770I
b = 0.222890 − 0.810587I
1.167480 − 0.164247I 0
u = −0.277396 + 0.706983I
a = 1.69487 − 0.38093I
b = 0.743421 + 0.807311I
1.10449 − 1.95390I 0.94830 + 8.61120I
u = −0.277396 − 0.706983I
a = 1.69487 + 0.38093I
b = 0.743421 − 0.807311I
1.10449 + 1.95390I 0.94830 − 8.61120I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.189311 + 1.242770I
a = −0.441452 − 0.281117I
b = 0.278403 − 0.144604I
−5.03945 + 2.68308I 0
u = 0.189311 − 1.242770I
a = −0.441452 + 0.281117I
b = 0.278403 + 0.144604I
−5.03945 − 2.68308I 0
u = −0.226796 + 0.682779I
a = −0.395557 − 0.515617I
b = −0.29912 + 1.44039I
1.15811 − 2.11752I 1.98891 − 0.96903I
u = −0.226796 − 0.682779I
a = −0.395557 + 0.515617I
b = −0.29912 − 1.44039I
1.15811 + 2.11752I 1.98891 + 0.96903I
u = 0.319256 + 1.242370I
a = 1.32948 + 0.82232I
b = 0.480030 − 1.247290I
−5.87744 + 8.43475I 0
u = 0.319256 − 1.242370I
a = 1.32948 − 0.82232I
b = 0.480030 + 1.247290I
−5.87744 − 8.43475I 0
u = 0.633280 + 1.116010I
a = −0.39961 − 1.55767I
b = −0.416706 + 1.168310I
−4.77702 + 3.78634I 0
u = 0.633280 − 1.116010I
a = −0.39961 + 1.55767I
b = −0.416706 − 1.168310I
−4.77702 − 3.78634I 0
u = 0.013783 + 0.708507I
a = −3.17848 + 0.37654I
b = −0.517600 − 0.574500I
−2.64910 − 1.68575I −7.54708 + 5.17658I
u = 0.013783 − 0.708507I
a = −3.17848 − 0.37654I
b = −0.517600 + 0.574500I
−2.64910 + 1.68575I −7.54708 − 5.17658I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.690167
a = 0.292471
b = 0.495674
−0.177330 1.09660
u = 0.451563 + 1.242990I
a = −0.221639 − 0.065522I
b = −0.848540 − 0.446166I
−4.01131 + 4.14840I 0
u = 0.451563 − 1.242990I
a = −0.221639 + 0.065522I
b = −0.848540 + 0.446166I
−4.01131 − 4.14840I 0
u = −1.069040 + 0.786022I
a = 0.059544 − 0.893896I
b = −0.288242 + 0.981577I
0.47127 − 2.97754I 0
u = −1.069040 − 0.786022I
a = 0.059544 + 0.893896I
b = −0.288242 − 0.981577I
0.47127 + 2.97754I 0
u = 0.013234 + 0.668664I
a = 1.32809 + 1.73453I
b = −0.202570 − 1.390430I
−3.09310 − 6.94018I −8.67242 + 7.67414I
u = 0.013234 − 0.668664I
a = 1.32809 − 1.73453I
b = −0.202570 + 1.390430I
−3.09310 + 6.94018I −8.67242 − 7.67414I
u = −0.876265 + 1.038470I
a = 0.23890 − 1.68501I
b = 0.348944 + 1.021620I
−4.61693 − 5.12310I 0
u = −0.876265 − 1.038470I
a = 0.23890 + 1.68501I
b = 0.348944 − 1.021620I
−4.61693 + 5.12310I 0
u = 0.009897 + 1.371210I
a = 1.150640 − 0.228989I
b = 0.062215 − 0.579369I
−9.42537 − 5.82460I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.009897 − 1.371210I
a = 1.150640 + 0.228989I
b = 0.062215 + 0.579369I
−9.42537 + 5.82460I 0
u = 0.531520 + 1.293490I
a = −0.466892 − 0.208694I
b = 0.382215 + 0.693947I
−5.62811 + 2.05742I 0
u = 0.531520 − 1.293490I
a = −0.466892 + 0.208694I
b = 0.382215 − 0.693947I
−5.62811 − 2.05742I 0
u = −0.264021 + 0.379958I
a = 1.32260 − 1.93082I
b = 0.165529 + 1.278910I
3.73943 − 2.06937I 2.12971 + 3.63885I
u = −0.264021 − 0.379958I
a = 1.32260 + 1.93082I
b = 0.165529 − 1.278910I
3.73943 + 2.06937I 2.12971 − 3.63885I
u = −0.67250 + 1.38326I
a = −0.912706 + 1.066400I
b = −0.601050 − 1.095840I
−2.04163 − 9.46743I 0
u = −0.67250 − 1.38326I
a = −0.912706 − 1.066400I
b = −0.601050 + 1.095840I
−2.04163 + 9.46743I 0
u = −0.36187 + 1.57770I
a = 0.273864 − 0.132870I
b = −0.124059 + 0.690585I
−7.14849 − 1.44751I 0
u = −0.36187 − 1.57770I
a = 0.273864 + 0.132870I
b = −0.124059 − 0.690585I
−7.14849 + 1.44751I 0
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
49
− 3u
48
+ ··· − 5u − 1)
· (u
168
− 16u
167
+ ··· − 7296363u − 2529737)
c
2
(u
49
+ 3u
48
+ ··· + 16u − 1)
· (u
168
+ 4u
167
+ ··· − 16865158u − 846613)
c
3
(u
49
− 16u
47
+ ··· + 33u − 7)(u
168
+ u
167
+ ··· − 150117u + 83053)
c
4
(u
49
− u
48
+ ··· + 6u + 1)(u
168
+ 2u
167
+ ··· − 1178u − 1129)
c
5
(u
49
− 3u
48
+ ··· + 16u + 1)
· (u
168
+ 4u
167
+ ··· − 16865158u − 846613)
c
6
(u
49
+ u
48
+ ··· + 113u + 19)
· (u
168
+ 12u
167
+ ··· + 4386421103u + 2616924533)
c
7
(u
49
− u
48
+ ··· − 19u + 7)(u
168
− 2u
167
+ ··· − 5047u − 12491)
c
8
(u
49
+ 3u
48
+ ··· − 103u + 11)
· (u
168
+ 16u
167
+ ··· − 1222355035u − 68295775)
c
9
(u
49
− 16u
47
+ ··· + 33u + 7)(u
168
+ u
167
+ ··· − 150117u + 83053)
c
10
(u
49
+ 3u
48
+ ··· + 6u − 1)(u
168
− 4u
167
+ ··· − 1722u − 677)
c
11
(u
49
+ u
48
+ ··· + 6u − 1)(u
168
+ 2u
167
+ ··· − 1178u − 1129)
c
12
(u
49
+ u
48
+ ··· − 19u − 7)(u
168
− 2u
167
+ ··· − 5047u − 12491)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
49
− 23y
48
+ ··· − 47y −1)
· (y
168
− 32y
167
+ ··· + 548413938838239y + 6399569289169)
c
2
, c
5
(y
49
− 47y
48
+ ··· + 134y −1)
· (y
168
− 140y
167
+ ··· − 42252653628006y + 716753571769)
c
3
, c
9
(y
49
− 32y
48
+ ··· + 2139y −49)
· (y
168
− 117y
167
+ ··· − 182975736347y + 6897800809)
c
4
, c
11
(y
49
+ 29y
48
+ ··· − 14y −1)
· (y
168
+ 88y
167
+ ··· + 25277038y + 1274641)
c
6
(y
49
+ 9y
48
+ ··· − 4939y −361)
· (y
168
+ 64y
167
+ ··· + 1.24 × 10
20
y + 6.85 × 10
18
)
c
7
, c
12
(y
49
+ 29y
48
+ ··· − 1389y −49)
· (y
168
+ 96y
167
+ ··· + 5492077293y + 156025081)
c
8
(y
49
− 27y
48
+ ··· − 1271y −121)
· (y
168
+ 4y
167
+ ··· − 21823179596653325y + 4664312882850625)
c
10
(y
49
− 3y
48
+ ··· + 4y −1)(y
168
+ 8y
167
+ ··· + 1.97332 × 10
7
y + 458329)
33
