12a
0867
(K12a
0867
)
A knot diagram
1
Linearized knot diagam
4 6 7 8 11 10 1 12 2 3 9 5
Solving Sequence
8,12 5,9
1 4 2 7 3 11 6 10
c
8
c
12
c
4
c
1
c
7
c
3
c
11
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.45856 × 10
1652
u
203
+ 2.23615 × 10
1653
u
202
+ ··· + 3.93637 × 10
1652
b − 1.11413 × 10
1659
,
− 1.12447 × 10
1659
u
203
+ 3.90032 × 10
1659
u
202
+ ··· + 9.78542 × 10
1658
a − 7.08400 × 10
1665
,
u
204
− 6u
203
+ ··· + 13656618u + 2485901i
I
u
2
= h−3.99801 × 10
62
u
47
+ 3.61993 × 10
63
u
46
+ ··· + 2.53866 × 10
62
b − 2.49503 × 10
63
,
− 3.34106 × 10
64
u
47
+ 5.34693 × 10
65
u
46
+ ··· + 1.48004 × 10
65
a + 1.06585 × 10
67
,
u
48
− 9u
47
+ ··· − 58u + 53i
* 2 irreducible components of dim
C
= 0, with total 252 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−4.46 × 10
1652
u
203
+ 2.24 × 10
1653
u
202
+ · · · + 3.94 × 10
1652
b −
1.11 × 10
1659
, −1.12 × 10
1659
u
203
+ 3.90 × 10
1659
u
202
+ · · · + 9.79 ×
10
1658
a − 7.08 × 10
1665
, u
204
− 6u
203
+ · · · + 13656618u + 2485901i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
1.14913u
203
− 3.98585u
202
+ ··· + 4.17631 × 10
7
u + 7.23934 × 10
6
1.13266u
203
− 5.68074u
202
+ ··· + 1.80208 × 10
7
u + 2.83035 × 10
6
a
9
=
1
u
2
a
1
=
1.34497u
203
− 15.0893u
202
+ ··· − 8.37379 × 10
7
u − 1.60630 × 10
7
0.624337u
203
− 1.59537u
202
+ ··· + 2.91074 × 10
7
u + 5.10734 × 10
6
a
4
=
0.0164688u
203
+ 1.69489u
202
+ ··· + 2.37423 × 10
7
u + 4.40899 × 10
6
1.13266u
203
− 5.68074u
202
+ ··· + 1.80208 × 10
7
u + 2.83035 × 10
6
a
2
=
−0.758911u
203
+ 0.692576u
202
+ ··· − 5.33054 × 10
7
u − 9.53109 × 10
6
0.104561u
203
+ 1.79786u
202
+ ··· + 3.21925 × 10
7
u + 5.92420 × 10
6
a
7
=
−0.239947u
203
+ 0.350290u
202
+ ··· − 1.31194 × 10
7
u − 2.41090 × 10
6
−1.43567u
203
+ 9.40565u
202
+ ··· + 5.32932 × 10
6
u + 1.62665 × 10
6
a
3
=
1.04271u
203
− 12.2971u
202
+ ··· − 7.25214 × 10
7
u − 1.38402 × 10
7
1.27042u
203
− 5.44461u
202
+ ··· + 3.18229 × 10
7
u + 5.32378 × 10
6
a
11
=
u
u
3
+ u
a
6
=
−0.511692u
203
+ 4.99307u
202
+ ··· + 2.34337 × 10
7
u + 4.58125 × 10
6
1.29741u
203
− 6.77135u
202
+ ··· + 1.72855 × 10
7
u + 2.62336 × 10
6
a
10
=
0.264271u
203
− 4.03649u
202
+ ··· − 3.11857 × 10
7
u − 5.93501 × 10
6
1.82361u
203
− 8.86050u
202
+ ··· + 3.30799 × 10
7
u + 5.30940 × 10
6
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −0.539639u
203
− 2.26256u
202
+ ··· − 7.03698 × 10
7
u − 1.28489 × 10
7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
11(11u
204
+ 171u
203
+ ··· − 6231u + 443)
c
2
u
204
− 6u
203
+ ··· + 6585u + 737
c
3
u
204
− 3u
203
+ ··· − 2321327084713u + 643304208535
c
4
u
204
+ 2u
203
+ ··· + 6641457u + 742643
c
5
11(11u
204
+ 14u
203
+ ··· + 1.52413 × 10
13
u + 1.11793 × 10
12
)
c
6
11(11u
204
+ 58u
203
+ ··· + 15u + 1)
c
7
u
204
+ u
203
+ ··· + 8125089u + 260381
c
8
, c
11
u
204
+ 6u
203
+ ··· − 13656618u + 2485901
c
9
u
204
+ u
203
+ ··· − 408235371u + 22543039
c
10
u
204
+ u
203
+ ··· − 733531u + 192929
c
12
11(11u
204
+ 61u
203
+ ··· + 23u + 1)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
121(121y
204
+ 41y
203
+ ··· + 7.46207 × 10
7
y + 196249)
c
2
y
204
+ 16y
203
+ ··· + 58072559y + 543169
c
3
y
204
− 89y
203
+ ··· − 2.86 × 10
25
y + 4.14 × 10
23
c
4
y
204
− 46y
203
+ ··· − 47363971689995y + 551518625449
c
5
121(121y
204
+ 9374y
203
+ ··· + 3.12706 × 10
25
y + 1.24976 × 10
24
)
c
6
121(121y
204
− 2726y
203
+ ··· + 117y + 1)
c
7
y
204
+ 23y
203
+ ··· + 11743856834025y + 67798265161
c
8
, c
11
y
204
+ 132y
203
+ ··· + 357972369982526y + 6179703781801
c
9
y
204
− 9y
203
+ ··· − 45177724753263541y + 508188607355521
c
10
y
204
+ 59y
203
+ ··· + 6380936510163y + 37221599041
c
12
121(121y
204
− 3831y
203
+ ··· + 105y + 1)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.823478 + 0.563300I
a = −1.112680 + 0.455222I
b = −0.728254 + 0.470888I
−5.10902 + 4.39820I 0
u = −0.823478 − 0.563300I
a = −1.112680 − 0.455222I
b = −0.728254 − 0.470888I
−5.10902 − 4.39820I 0
u = −0.159947 + 0.981682I
a = 0.278259 − 0.350237I
b = 0.910060 − 1.031980I
−2.50183 + 1.79882I 0
u = −0.159947 − 0.981682I
a = 0.278259 + 0.350237I
b = 0.910060 + 1.031980I
−2.50183 − 1.79882I 0
u = −0.018854 + 1.009260I
a = −0.55681 + 2.34601I
b = 0.799649 + 0.240782I
4.74916 + 0.08868I 0
u = −0.018854 − 1.009260I
a = −0.55681 − 2.34601I
b = 0.799649 − 0.240782I
4.74916 − 0.08868I 0
u = −0.033632 + 1.012720I
a = −0.538835 − 0.625356I
b = 1.73302 − 1.30223I
2.36339 + 3.07909I 0
u = −0.033632 − 1.012720I
a = −0.538835 + 0.625356I
b = 1.73302 + 1.30223I
2.36339 − 3.07909I 0
u = 0.960202 + 0.332336I
a = −0.384866 − 0.836146I
b = 1.15074 − 0.93920I
−4.58415 − 0.14305I 0
u = 0.960202 − 0.332336I
a = −0.384866 + 0.836146I
b = 1.15074 + 0.93920I
−4.58415 + 0.14305I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.994649 + 0.210504I
a = 0.241512 − 0.832693I
b = 0.864296 − 0.568169I
−1.62457 − 2.11273I 0
u = 0.994649 − 0.210504I
a = 0.241512 + 0.832693I
b = 0.864296 + 0.568169I
−1.62457 + 2.11273I 0
u = −0.122253 + 0.966206I
a = 1.86689 − 0.10216I
b = −1.333520 − 0.071500I
−3.62878 + 6.56764I 0
u = −0.122253 − 0.966206I
a = 1.86689 + 0.10216I
b = −1.333520 + 0.071500I
−3.62878 − 6.56764I 0
u = −0.868012 + 0.439723I
a = 0.552366 − 0.911389I
b = −1.08048 − 1.00711I
−5.12728 − 8.60924I 0
u = −0.868012 − 0.439723I
a = 0.552366 + 0.911389I
b = −1.08048 + 1.00711I
−5.12728 + 8.60924I 0
u = −0.055671 + 1.030950I
a = 1.24849 + 1.77107I
b = −0.533549 + 0.021730I
−0.11230 + 3.40572I 0
u = −0.055671 − 1.030950I
a = 1.24849 − 1.77107I
b = −0.533549 − 0.021730I
−0.11230 − 3.40572I 0
u = 0.188339 + 1.015690I
a = 0.531576 + 0.800991I
b = −1.68492 + 1.27312I
−0.29177 − 7.00468I 0
u = 0.188339 − 1.015690I
a = 0.531576 − 0.800991I
b = −1.68492 − 1.27312I
−0.29177 + 7.00468I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.225400 + 1.011030I
a = −0.572802 − 0.440337I
b = 0.877863 + 0.073409I
1.45660 − 2.62442I 0
u = 0.225400 − 1.011030I
a = −0.572802 + 0.440337I
b = 0.877863 − 0.073409I
1.45660 + 2.62442I 0
u = −0.060207 + 1.039490I
a = 0.768909 − 1.050130I
b = −1.239090 − 0.650945I
3.50944 + 1.39703I 0
u = −0.060207 − 1.039490I
a = 0.768909 + 1.050130I
b = −1.239090 + 0.650945I
3.50944 − 1.39703I 0
u = −0.091095 + 1.049180I
a = −0.90913 + 1.22511I
b = 1.30627 + 0.74447I
1.84043 + 6.24977I 0
u = −0.091095 − 1.049180I
a = −0.90913 − 1.22511I
b = 1.30627 − 0.74447I
1.84043 − 6.24977I 0
u = 0.572617 + 0.897054I
a = −0.147903 + 0.949882I
b = −0.636687 + 0.974947I
0.12744 − 4.27664I 0
u = 0.572617 − 0.897054I
a = −0.147903 − 0.949882I
b = −0.636687 − 0.974947I
0.12744 + 4.27664I 0
u = 0.009644 + 1.064750I
a = 0.332412 − 1.096940I
b = −0.965173 − 0.167142I
3.95270 − 0.80622I 0
u = 0.009644 − 1.064750I
a = 0.332412 + 1.096940I
b = −0.965173 + 0.167142I
3.95270 + 0.80622I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.055453 + 0.929119I
a = 0.23290 + 1.83768I
b = −0.673410 + 0.780389I
−0.79781 − 3.20782I 0
u = 0.055453 − 0.929119I
a = 0.23290 − 1.83768I
b = −0.673410 − 0.780389I
−0.79781 + 3.20782I 0
u = 0.533091 + 0.930744I
a = −0.379653 − 0.256907I
b = −0.052472 − 1.390330I
−3.29487 − 4.09961I 0
u = 0.533091 − 0.930744I
a = −0.379653 + 0.256907I
b = −0.052472 + 1.390330I
−3.29487 + 4.09961I 0
u = −0.349105 + 0.855715I
a = 0.386266 − 0.332969I
b = 0.36360 − 1.59967I
−3.03794 + 4.88326I 0
u = −0.349105 − 0.855715I
a = 0.386266 + 0.332969I
b = 0.36360 + 1.59967I
−3.03794 − 4.88326I 0
u = −0.012207 + 1.081020I
a = −0.081150 + 0.177523I
b = 0.74087 + 1.66959I
2.55218 − 2.57578I 0
u = −0.012207 − 1.081020I
a = −0.081150 − 0.177523I
b = 0.74087 − 1.66959I
2.55218 + 2.57578I 0
u = 0.983421 + 0.453640I
a = 0.185131 + 0.919177I
b = −0.83733 + 1.14332I
−4.85248 − 1.32628I 0
u = 0.983421 − 0.453640I
a = 0.185131 − 0.919177I
b = −0.83733 − 1.14332I
−4.85248 + 1.32628I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.900430 + 0.046789I
a = −0.397176 − 1.112830I
b = −0.339662 − 1.026230I
−5.05468 − 1.03646I 0
u = 0.900430 − 0.046789I
a = −0.397176 + 1.112830I
b = −0.339662 + 1.026230I
−5.05468 + 1.03646I 0
u = −1.086760 + 0.180118I
a = 0.713465 − 0.636373I
b = 0.878058 − 0.810656I
−4.06793 − 7.40314I 0
u = −1.086760 − 0.180118I
a = 0.713465 + 0.636373I
b = 0.878058 + 0.810656I
−4.06793 + 7.40314I 0
u = −0.140176 + 1.097830I
a = −0.775001 + 0.753287I
b = 1.66028 + 0.97911I
−0.40231 + 5.62337I 0
u = −0.140176 − 1.097830I
a = −0.775001 − 0.753287I
b = 1.66028 − 0.97911I
−0.40231 − 5.62337I 0
u = 0.426724 + 1.022610I
a = 0.58526 − 1.58454I
b = 0.851671 − 0.204040I
4.97692 − 1.74200I 0
u = 0.426724 − 1.022610I
a = 0.58526 + 1.58454I
b = 0.851671 + 0.204040I
4.97692 + 1.74200I 0
u = −0.524600 + 0.981032I
a = 0.28788 − 1.61252I
b = −0.874971 − 0.728989I
−3.70188 + 0.64618I 0
u = −0.524600 − 0.981032I
a = 0.28788 + 1.61252I
b = −0.874971 + 0.728989I
−3.70188 − 0.64618I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.580959 + 0.951792I
a = −0.0248179 − 0.0641107I
b = −0.107435 − 1.096290I
−1.84881 − 0.08227I 0
u = 0.580959 − 0.951792I
a = −0.0248179 + 0.0641107I
b = −0.107435 + 1.096290I
−1.84881 + 0.08227I 0
u = 0.862039 + 0.183955I
a = −0.405432 − 0.559651I
b = 0.106743 − 0.201309I
−1.83551 − 0.75978I 0
u = 0.862039 − 0.183955I
a = −0.405432 + 0.559651I
b = 0.106743 + 0.201309I
−1.83551 + 0.75978I 0
u = −0.358626 + 0.799271I
a = −0.561749 + 0.700866I
b = −0.854656 + 0.632934I
−3.72127 − 4.69543I 0
u = −0.358626 − 0.799271I
a = −0.561749 − 0.700866I
b = −0.854656 − 0.632934I
−3.72127 + 4.69543I 0
u = −0.810082 + 0.309115I
a = 1.166620 − 0.722612I
b = 0.705345 − 0.604688I
−5.11178 − 3.95186I 0
u = −0.810082 − 0.309115I
a = 1.166620 + 0.722612I
b = 0.705345 + 0.604688I
−5.11178 + 3.95186I 0
u = −0.193125 + 1.124750I
a = 1.244800 + 0.616625I
b = −0.809450 − 0.129733I
3.83238 + 5.89545I 0
u = −0.193125 − 1.124750I
a = 1.244800 − 0.616625I
b = −0.809450 + 0.129733I
3.83238 − 5.89545I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.138820 + 0.164637I
a = −0.305640 + 0.820478I
b = −0.99934 + 1.00545I
−4.36546 − 6.25108I 0
u = 1.138820 − 0.164637I
a = −0.305640 − 0.820478I
b = −0.99934 − 1.00545I
−4.36546 + 6.25108I 0
u = 0.538445 + 0.655385I
a = 0.212596 + 0.780859I
b = 0.858364 + 0.936856I
−3.07556 − 3.13171I 0
u = 0.538445 − 0.655385I
a = 0.212596 − 0.780859I
b = 0.858364 − 0.936856I
−3.07556 + 3.13171I 0
u = −0.062117 + 1.153960I
a = 0.708272 − 1.119720I
b = −1.019400 − 0.335192I
4.37653 + 1.13432I 0
u = −0.062117 − 1.153960I
a = 0.708272 + 1.119720I
b = −1.019400 + 0.335192I
4.37653 − 1.13432I 0
u = −0.188079 + 1.142150I
a = −1.15646 − 1.51891I
b = 0.607104 − 0.028968I
0.39463 + 12.01480I 0
u = −0.188079 − 1.142150I
a = −1.15646 + 1.51891I
b = 0.607104 + 0.028968I
0.39463 − 12.01480I 0
u = 0.736102 + 0.905107I
a = −0.043334 − 1.355720I
b = 0.968502 − 0.832361I
−2.68288 − 9.57782I 0
u = 0.736102 − 0.905107I
a = −0.043334 + 1.355720I
b = 0.968502 + 0.832361I
−2.68288 + 9.57782I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.355516 + 1.130840I
a = −0.580094 + 1.249070I
b = 0.668741 + 0.959909I
−3.18460 + 3.38677I 0
u = −0.355516 − 1.130840I
a = −0.580094 − 1.249070I
b = 0.668741 − 0.959909I
−3.18460 − 3.38677I 0
u = 0.244466 + 1.166510I
a = 1.06629 − 1.79403I
b = −0.516603 − 0.305161I
1.02084 − 2.51408I 0
u = 0.244466 − 1.166510I
a = 1.06629 + 1.79403I
b = −0.516603 + 0.305161I
1.02084 + 2.51408I 0
u = −0.490228 + 1.093460I
a = −0.233101 + 0.371358I
b = −0.47714 + 1.63910I
−3.04161 + 13.57980I 0
u = −0.490228 − 1.093460I
a = −0.233101 − 0.371358I
b = −0.47714 − 1.63910I
−3.04161 − 13.57980I 0
u = −0.746119 + 0.944938I
a = −0.340171 − 0.775356I
b = −0.974606 − 0.535852I
0.56651 + 1.85958I 0
u = −0.746119 − 0.944938I
a = −0.340171 + 0.775356I
b = −0.974606 + 0.535852I
0.56651 − 1.85958I 0
u = −0.788840 + 0.003756I
a = −0.76406 + 1.57952I
b = −0.360893 + 0.756966I
−6.54638 − 7.74882I 0
u = −0.788840 − 0.003756I
a = −0.76406 − 1.57952I
b = −0.360893 − 0.756966I
−6.54638 + 7.74882I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.010404 + 0.788202I
a = −1.69188 − 0.05580I
b = 1.353060 + 0.150235I
−3.55109 − 0.61558I 0
u = 0.010404 − 0.788202I
a = −1.69188 + 0.05580I
b = 1.353060 − 0.150235I
−3.55109 + 0.61558I 0
u = 0.117345 + 1.214120I
a = −1.39998 + 0.39236I
b = 0.724406 + 0.226965I
1.35910 − 2.12759I 0
u = 0.117345 − 1.214120I
a = −1.39998 − 0.39236I
b = 0.724406 − 0.226965I
1.35910 + 2.12759I 0
u = −0.409372 + 0.663565I
a = 0.202008 − 0.396413I
b = −0.24932 − 1.85810I
0.94021 + 4.73747I 0
u = −0.409372 − 0.663565I
a = 0.202008 + 0.396413I
b = −0.24932 + 1.85810I
0.94021 − 4.73747I 0
u = −0.036900 + 1.225990I
a = 0.0357274 + 0.0759274I
b = −1.83642 + 0.00945I
1.52225 + 5.45325I 0
u = −0.036900 − 1.225990I
a = 0.0357274 − 0.0759274I
b = −1.83642 − 0.00945I
1.52225 − 5.45325I 0
u = −0.692406 + 1.013370I
a = 0.102155 − 0.916905I
b = −1.149300 − 0.816536I
2.47205 + 2.41481I 0
u = −0.692406 − 1.013370I
a = 0.102155 + 0.916905I
b = −1.149300 + 0.816536I
2.47205 − 2.41481I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.044567 + 1.228240I
a = −0.490813 + 0.927405I
b = 0.659267 − 0.048160I
2.56471 − 4.34052I 0
u = 0.044567 − 1.228240I
a = −0.490813 − 0.927405I
b = 0.659267 + 0.048160I
2.56471 + 4.34052I 0
u = 0.336003 + 1.186900I
a = −0.437990 − 0.336466I
b = −0.117505 − 0.877127I
−1.13927 − 5.42784I 0
u = 0.336003 − 1.186900I
a = −0.437990 + 0.336466I
b = −0.117505 + 0.877127I
−1.13927 + 5.42784I 0
u = 0.185955 + 1.229250I
a = −0.222101 + 0.274080I
b = 0.757082 + 0.458725I
1.77251 − 2.64461I 0
u = 0.185955 − 1.229250I
a = −0.222101 − 0.274080I
b = 0.757082 − 0.458725I
1.77251 + 2.64461I 0
u = −0.374813 + 0.650720I
a = 0.751105 + 0.726655I
b = 0.781253 − 0.462332I
0.85173 − 4.82958I 0
u = −0.374813 − 0.650720I
a = 0.751105 − 0.726655I
b = 0.781253 + 0.462332I
0.85173 + 4.82958I 0
u = 0.029709 + 1.249520I
a = 0.250971 − 1.051620I
b = −0.57655 − 1.37957I
2.60661 − 0.68432I 0
u = 0.029709 − 1.249520I
a = 0.250971 + 1.051620I
b = −0.57655 + 1.37957I
2.60661 + 0.68432I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.176720 + 0.446425I
a = −0.573983 + 0.039187I
b = −0.475353 − 0.042598I
−1.77145 − 1.28158I 0
u = 1.176720 − 0.446425I
a = −0.573983 − 0.039187I
b = −0.475353 + 0.042598I
−1.77145 + 1.28158I 0
u = −0.413843 + 0.613598I
a = −1.18847 + 0.91598I
b = 1.062370 + 0.743209I
−3.69020 − 1.41858I 0
u = −0.413843 − 0.613598I
a = −1.18847 − 0.91598I
b = 1.062370 − 0.743209I
−3.69020 + 1.41858I 0
u = 1.165430 + 0.480837I
a = 0.632453 + 0.455483I
b = 0.710967 + 0.606396I
−4.14766 + 3.05422I 0
u = 1.165430 − 0.480837I
a = 0.632453 − 0.455483I
b = 0.710967 − 0.606396I
−4.14766 − 3.05422I 0
u = −0.434002 + 1.193680I
a = −0.45375 + 1.35106I
b = 0.950166 + 0.860523I
−2.27502 + 8.53665I 0
u = −0.434002 − 1.193680I
a = −0.45375 − 1.35106I
b = 0.950166 − 0.860523I
−2.27502 − 8.53665I 0
u = 0.534285 + 1.169180I
a = 0.151130 + 0.398841I
b = 0.57035 + 1.38671I
−1.86834 − 5.19585I 0
u = 0.534285 − 1.169180I
a = 0.151130 − 0.398841I
b = 0.57035 − 1.38671I
−1.86834 + 5.19585I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.101997 + 1.290170I
a = −0.851308 − 1.116910I
b = 0.702914 − 0.170741I
6.84375 − 2.94433I 0
u = 0.101997 − 1.290170I
a = −0.851308 + 1.116910I
b = 0.702914 + 0.170741I
6.84375 + 2.94433I 0
u = −1.291690 + 0.129659I
a = −0.413096 − 0.786466I
b = −0.917976 − 0.917320I
−5.4179 + 15.5806I 0
u = −1.291690 − 0.129659I
a = −0.413096 + 0.786466I
b = −0.917976 + 0.917320I
−5.4179 − 15.5806I 0
u = 0.272255 + 1.273900I
a = 0.541345 + 0.650343I
b = −1.61202 + 0.91488I
5.44305 − 5.93125I 0
u = 0.272255 − 1.273900I
a = 0.541345 − 0.650343I
b = −1.61202 − 0.91488I
5.44305 + 5.93125I 0
u = −0.639282 + 0.274252I
a = 1.28758 − 1.19826I
b = 0.376578 − 0.723367I
−5.81373 + 0.43609I 0
u = −0.639282 − 0.274252I
a = 1.28758 + 1.19826I
b = 0.376578 + 0.723367I
−5.81373 − 0.43609I 0
u = 0.691982 + 0.053240I
a = −0.70485 + 1.53560I
b = −1.150310 + 0.605693I
−2.20762 − 6.98804I 0
u = 0.691982 − 0.053240I
a = −0.70485 − 1.53560I
b = −1.150310 − 0.605693I
−2.20762 + 6.98804I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.287880 + 0.242997I
a = 0.330960 − 0.859529I
b = 0.869127 − 0.900714I
−5.19202 − 6.55294I 0
u = 1.287880 − 0.242997I
a = 0.330960 + 0.859529I
b = 0.869127 + 0.900714I
−5.19202 + 6.55294I 0
u = 0.480264 + 1.223560I
a = 0.463576 + 0.849016I
b = −0.816084 + 1.122940I
−1.46993 − 3.91123I 0
u = 0.480264 − 1.223560I
a = 0.463576 − 0.849016I
b = −0.816084 − 1.122940I
−1.46993 + 3.91123I 0
u = 0.433492 + 0.503738I
a = −1.58591 − 1.11733I
b = 0.938251 − 0.189050I
−3.26584 − 0.82302I 0
u = 0.433492 − 0.503738I
a = −1.58591 + 1.11733I
b = 0.938251 + 0.189050I
−3.26584 + 0.82302I 0
u = −1.283770 + 0.416817I
a = 0.418690 + 0.132761I
b = 0.539371 + 0.359535I
−1.94826 − 6.48519I 0
u = −1.283770 − 0.416817I
a = 0.418690 − 0.132761I
b = 0.539371 − 0.359535I
−1.94826 + 6.48519I 0
u = −0.385031 + 1.296470I
a = 0.528181 − 1.200990I
b = −0.572218 − 0.982077I
−2.49895 + 12.04300I 0
u = −0.385031 − 1.296470I
a = 0.528181 + 1.200990I
b = −0.572218 + 0.982077I
−2.49895 − 12.04300I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.274538 + 1.325090I
a = 1.22608 + 1.77889I
b = −0.288434 + 0.222219I
1.32447 − 2.91857I 0
u = 0.274538 − 1.325090I
a = 1.22608 − 1.77889I
b = −0.288434 − 0.222219I
1.32447 + 2.91857I 0
u = −0.558478 + 0.319499I
a = −0.63277 − 1.39515I
b = −0.944801 − 0.640771I
2.30200 + 1.92240I 0
u = −0.558478 − 0.319499I
a = −0.63277 + 1.39515I
b = −0.944801 + 0.640771I
2.30200 − 1.92240I 0
u = −0.340255 + 1.321950I
a = 0.529256 − 0.967511I
b = −1.33935 − 0.84743I
7.17502 + 5.47686I 0
u = −0.340255 − 1.321950I
a = 0.529256 + 0.967511I
b = −1.33935 + 0.84743I
7.17502 − 5.47686I 0
u = −0.678733 + 1.189350I
a = −0.223772 − 0.836565I
b = −0.908377 − 0.182218I
1.53142 + 4.27194I 0
u = −0.678733 − 1.189350I
a = −0.223772 + 0.836565I
b = −0.908377 + 0.182218I
1.53142 − 4.27194I 0
u = 0.424936 + 1.337140I
a = 0.717288 + 1.163500I
b = −1.27396 + 0.69128I
2.15184 − 11.31530I 0
u = 0.424936 − 1.337140I
a = 0.717288 − 1.163500I
b = −1.27396 − 0.69128I
2.15184 + 11.31530I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.554917 + 1.297440I
a = −0.432387 + 1.101860I
b = 1.28486 + 0.92213I
−0.48742 + 13.18960I 0
u = −0.554917 − 1.297440I
a = −0.432387 − 1.101860I
b = 1.28486 − 0.92213I
−0.48742 − 13.18960I 0
u = 0.25146 + 1.39545I
a = −0.498043 − 0.936724I
b = 1.28754 − 1.06397I
4.13108 − 12.16480I 0
u = 0.25146 − 1.39545I
a = −0.498043 + 0.936724I
b = 1.28754 + 1.06397I
4.13108 + 12.16480I 0
u = 0.516869 + 0.255969I
a = −0.683349 + 0.457759I
b = 0.185207 − 0.561544I
−1.92383 + 0.25450I 0
u = 0.516869 − 0.255969I
a = −0.683349 − 0.457759I
b = 0.185207 + 0.561544I
−1.92383 − 0.25450I 0
u = −0.29823 + 1.39563I
a = −0.084692 + 0.736741I
b = 0.795401 + 0.138610I
7.29470 − 1.68908I 0
u = −0.29823 − 1.39563I
a = −0.084692 − 0.736741I
b = 0.795401 − 0.138610I
7.29470 + 1.68908I 0
u = −0.33941 + 1.40876I
a = −0.469823 + 0.569179I
b = 1.50303 + 0.79571I
4.13206 − 1.76042I 0
u = −0.33941 − 1.40876I
a = −0.469823 − 0.569179I
b = 1.50303 − 0.79571I
4.13206 + 1.76042I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.46363 + 1.38457I
a = −0.025719 + 0.774384I
b = −0.514273 − 0.047038I
1.89038 + 0.07032I 0
u = 0.46363 − 1.38457I
a = −0.025719 − 0.774384I
b = −0.514273 + 0.047038I
1.89038 − 0.07032I 0
u = 0.490479 + 0.201597I
a = −1.248070 + 0.124293I
b = −0.656366 − 0.959070I
−1.99639 + 4.27770I 0
u = 0.490479 − 0.201597I
a = −1.248070 − 0.124293I
b = −0.656366 + 0.959070I
−1.99639 − 4.27770I 0
u = 1.08987 + 0.98787I
a = 0.175388 + 0.184109I
b = 0.294606 + 0.637794I
−2.80365 − 1.22957I 0
u = 1.08987 − 0.98787I
a = 0.175388 − 0.184109I
b = 0.294606 − 0.637794I
−2.80365 + 1.22957I 0
u = 0.45433 + 1.40218I
a = −0.539132 − 0.959559I
b = 1.171750 − 0.637547I
3.42390 − 7.26474I 0
u = 0.45433 − 1.40218I
a = −0.539132 + 0.959559I
b = 1.171750 + 0.637547I
3.42390 + 7.26474I 0
u = 0.45498 + 1.40511I
a = −0.361787 − 0.797078I
b = 0.809915 − 0.326794I
3.24566 − 5.64780I 0
u = 0.45498 − 1.40511I
a = −0.361787 + 0.797078I
b = 0.809915 + 0.326794I
3.24566 + 5.64780I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.082253 + 0.505396I
a = −1.23209 − 0.87037I
b = 0.747455 + 0.450296I
1.66276 − 2.32132I 0
u = −0.082253 − 0.505396I
a = −1.23209 + 0.87037I
b = 0.747455 − 0.450296I
1.66276 + 2.32132I 0
u = 0.26307 + 1.47286I
a = 0.150364 + 0.582759I
b = −0.958767 + 0.440301I
5.12491 − 5.91315I 0
u = 0.26307 − 1.47286I
a = 0.150364 − 0.582759I
b = −0.958767 − 0.440301I
5.12491 + 5.91315I 0
u = 0.53274 + 1.40657I
a = 0.570014 + 0.912147I
b = −1.41995 + 0.88553I
0.47390 − 12.14240I 0
u = 0.53274 − 1.40657I
a = 0.570014 − 0.912147I
b = −1.41995 − 0.88553I
0.47390 + 12.14240I 0
u = 0.64017 + 1.37602I
a = −0.097450 + 0.779510I
b = −0.731556 + 0.369793I
1.58596 − 5.28856I 0
u = 0.64017 − 1.37602I
a = −0.097450 − 0.779510I
b = −0.731556 − 0.369793I
1.58596 + 5.28856I 0
u = −0.64275 + 1.37849I
a = 0.068645 + 0.862957I
b = 0.889647 + 0.283222I
1.61217 + 13.41700I 0
u = −0.64275 − 1.37849I
a = 0.068645 − 0.862957I
b = 0.889647 − 0.283222I
1.61217 − 13.41700I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63922 + 1.38048I
a = −0.308348 + 0.896112I
b = 1.31197 + 0.91242I
4.3790 + 13.4789I 0
u = −0.63922 − 1.38048I
a = −0.308348 − 0.896112I
b = 1.31197 − 0.91242I
4.3790 − 13.4789I 0
u = −1.52103 + 0.18694I
a = 0.341080 − 0.311366I
b = 0.599751 − 0.751990I
0.43135 − 6.45917I 0
u = −1.52103 − 0.18694I
a = 0.341080 + 0.311366I
b = 0.599751 + 0.751990I
0.43135 + 6.45917I 0
u = 0.63716 + 1.39641I
a = −0.499958 − 0.731279I
b = 1.39582 − 0.78494I
1.08360 − 7.04644I 0
u = 0.63716 − 1.39641I
a = −0.499958 + 0.731279I
b = 1.39582 + 0.78494I
1.08360 + 7.04644I 0
u = −0.57526 + 1.44423I
a = 0.459658 − 1.009860I
b = −1.30488 − 0.93183I
−0.5322 + 22.0396I 0
u = −0.57526 − 1.44423I
a = 0.459658 + 1.009860I
b = −1.30488 + 0.93183I
−0.5322 − 22.0396I 0
u = −0.107291 + 0.410893I
a = −1.30911 − 3.21910I
b = 0.778970 − 0.716836I
−1.95037 − 10.40300I 0
u = −0.107291 − 0.410893I
a = −1.30911 + 3.21910I
b = 0.778970 + 0.716836I
−1.95037 + 10.40300I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.08016 + 1.57882I
a = 0.952471 + 0.276697I
b = −1.170420 + 0.238847I
2.86571 − 5.62153I 0
u = 0.08016 − 1.57882I
a = 0.952471 − 0.276697I
b = −1.170420 − 0.238847I
2.86571 + 5.62153I 0
u = −0.150561 + 0.383638I
a = 0.953151 + 1.005440I
b = 0.861598 − 0.944662I
−2.38742 − 4.15705I 0
u = −0.150561 − 0.383638I
a = 0.953151 − 1.005440I
b = 0.861598 + 0.944662I
−2.38742 + 4.15705I 0
u = 0.57877 + 1.48013I
a = −0.449771 − 1.003250I
b = 1.22549 − 0.91761I
0.09724 − 13.08690I 0
u = 0.57877 − 1.48013I
a = −0.449771 + 1.003250I
b = 1.22549 + 0.91761I
0.09724 + 13.08690I 0
u = 0.60104 + 1.48648I
a = 0.381029 + 0.702407I
b = −1.29270 + 1.01076I
1.69527 − 7.88022I 0
u = 0.60104 − 1.48648I
a = 0.381029 − 0.702407I
b = −1.29270 − 1.01076I
1.69527 + 7.88022I 0
u = 0.320485 + 0.208109I
a = 3.27064 − 2.86234I
b = −0.454573 − 0.520380I
−1.83951 + 0.20390I 0
u = 0.320485 − 0.208109I
a = 3.27064 + 2.86234I
b = −0.454573 + 0.520380I
−1.83951 − 0.20390I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65109 + 0.03823I
a = −0.014839 + 0.398773I
b = 0.184142 + 1.328770I
−3.29052 − 0.34818I 0
u = 1.65109 − 0.03823I
a = −0.014839 − 0.398773I
b = 0.184142 − 1.328770I
−3.29052 + 0.34818I 0
u = −0.13769 + 1.66581I
a = −0.486087 − 0.024133I
b = 0.245622 + 0.013531I
−1.72259 − 4.44517I 0
u = −0.13769 − 1.66581I
a = −0.486087 + 0.024133I
b = 0.245622 − 0.013531I
−1.72259 + 4.44517I 0
u = −0.85381 + 1.47623I
a = −0.118402 − 0.449295I
b = −0.702620 + 0.020949I
3.40224 + 5.10531I 0
u = −0.85381 − 1.47623I
a = −0.118402 + 0.449295I
b = −0.702620 − 0.020949I
3.40224 − 5.10531I 0
u = 0.17526 + 1.70351I
a = −0.0703377 − 0.0314505I
b = 0.812824 − 0.043217I
3.47373 − 2.71578I 0
u = 0.17526 − 1.70351I
a = −0.0703377 + 0.0314505I
b = 0.812824 + 0.043217I
3.47373 + 2.71578I 0
u = −0.263057 + 0.019011I
a = −2.54197 − 0.13476I
b = −0.803087 + 0.073217I
1.196190 − 0.009281I 8.77806 − 0.26747I
u = −0.263057 − 0.019011I
a = −2.54197 + 0.13476I
b = −0.803087 − 0.073217I
1.196190 + 0.009281I 8.77806 + 0.26747I
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.090317 + 0.147882I
a = 1.22492 + 3.25701I
b = −0.840218 + 0.985286I
1.08179 − 4.07828I 6.00525 + 1.10470I
u = −0.090317 − 0.147882I
a = 1.22492 − 3.25701I
b = −0.840218 − 0.985286I
1.08179 + 4.07828I 6.00525 − 1.10470I
u = −1.58700 + 1.60283I
a = −0.0644766 + 0.0357777I
b = −0.255507 + 0.434108I
−1.80807 − 7.13422I 0
u = −1.58700 − 1.60283I
a = −0.0644766 − 0.0357777I
b = −0.255507 − 0.434108I
−1.80807 + 7.13422I 0
25
II. I
u
2
= h−4.00 × 10
62
u
47
+ 3.62 × 10
63
u
46
+ · · · + 2.54 × 10
62
b − 2.50 ×
10
63
, −3.34 × 10
64
u
47
+ 5.35 × 10
65
u
46
+ · · · + 1.48 × 10
65
a + 1.07 ×
10
67
, u
48
− 9u
47
+ · · · − 58u + 53i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
0.225742u
47
− 3.61270u
46
+ ··· + 106.244u − 72.0148
1.57485u
47
− 14.2592u
46
+ ··· + 55.1207u + 9.82815
a
9
=
1
u
2
a
1
=
0.854401u
47
− 9.79599u
46
+ ··· + 161.340u − 102.944
0.0738944u
47
+ 0.268820u
46
+ ··· − 57.0125u + 50.3601
a
4
=
−1.34911u
47
+ 10.6465u
46
+ ··· + 51.1232u − 81.8429
1.57485u
47
− 14.2592u
46
+ ··· + 55.1207u + 9.82815
a
2
=
1.39026u
47
− 17.0558u
46
+ ··· + 343.130u − 219.948
0.423039u
47
− 1.16830u
46
+ ··· − 167.286u + 145.696
a
7
=
−0.420142u
47
+ 7.15431u
46
+ ··· − 227.545u + 152.553
−1.90444u
47
+ 15.1589u
46
+ ··· + 30.9188u − 96.1049
a
3
=
−0.0131832u
47
− 4.26912u
46
+ ··· + 270.688u − 234.401
1.52462u
47
− 12.7165u
46
+ ··· − 25.4571u + 75.8153
a
11
=
u
u
3
+ u
a
6
=
−1.25910u
47
+ 10.2265u
46
+ ··· + 27.9147u − 59.4887
1.78191u
47
− 16.3561u
46
+ ··· + 83.0703u − 2.84990
a
10
=
2.48395u
47
− 22.0198u
46
+ ··· + 130.913u + 3.15683
1.67073u
47
− 13.7389u
46
+ ··· − 28.1646u + 68.8728
(ii) Obstruction class = 1
(iii) Cusp Shapes = −7.09207u
47
+ 63.7960u
46
+ ··· − 337.971u − 78.4205
26
(iv) u-Polynomials at the component
27
Crossings u-Polynomials at each crossing
c
1
11(11u
48
− 162u
47
+ ··· + 5u + 5)
c
2
u
48
+ 3u
47
+ ··· + 9u + 11
c
3
u
48
+ 4u
47
+ ··· + 111u + 97
c
4
u
48
− 3u
47
+ ··· + 79u + 11
c
5
11(11u
48
− 51u
47
+ ··· − 2440u + 425)
c
6
11(11u
48
− 73u
47
+ ··· − 5u + 1)
c
7
u
48
− 2u
47
+ ··· + 63u + 11
c
8
u
48
− 9u
47
+ ··· − 58u + 53
c
9
u
48
− 2u
47
+ ··· − 19u + 17
c
10
u
48
+ 17u
46
+ ··· + 29u + 11
c
11
u
48
+ 9u
47
+ ··· + 58u + 53
c
12
11(11u
48
− 30u
47
+ ··· + u + 1)
28
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
121(121y
48
+ 464y
47
+ ··· − 565y + 25)
c
2
y
48
+ 3y
47
+ ··· + 2009y + 121
c
3
y
48
− 14y
47
+ ··· − 313215y + 9409
c
4
y
48
− 11y
47
+ ··· − 3513y + 121
c
5
121(121y
48
+ 1073y
47
+ ··· + 2323700y + 180625)
c
6
121(121y
48
− 1831y
47
+ ··· − 45y + 1)
c
7
y
48
− 6y
47
+ ··· + 2015y + 121
c
8
, c
11
y
48
+ 27y
47
+ ··· + 23348y + 2809
c
9
y
48
+ 30y
47
+ ··· + 2325y + 289
c
10
y
48
+ 34y
47
+ ··· − 71y + 121
c
12
121(121y
48
− 1956y
47
+ ··· + 43y + 1)
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.020560 + 0.059578I
a = −0.521931 + 0.889670I
b = −0.947963 + 0.871301I
−3.67958 − 6.17156I 0
u = 1.020560 − 0.059578I
a = −0.521931 − 0.889670I
b = −0.947963 − 0.871301I
−3.67958 + 6.17156I 0
u = −0.423085 + 0.877949I
a = 0.266538 + 0.188081I
b = 0.939177 − 0.619835I
−0.34347 − 5.13110I 0
u = −0.423085 − 0.877949I
a = 0.266538 − 0.188081I
b = 0.939177 + 0.619835I
−0.34347 + 5.13110I 0
u = −0.081942 + 1.036290I
a = 0.37493 − 1.76994I
b = −0.940809 − 0.260618I
5.59252 + 0.37644I 0
u = −0.081942 − 1.036290I
a = 0.37493 + 1.76994I
b = −0.940809 + 0.260618I
5.59252 − 0.37644I 0
u = −0.099045 + 1.047180I
a = −0.793639 + 0.712742I
b = 1.81621 + 0.92537I
0.24028 + 6.55226I 0
u = −0.099045 − 1.047180I
a = −0.793639 − 0.712742I
b = 1.81621 − 0.92537I
0.24028 − 6.55226I 0
u = 0.463047 + 0.963662I
a = −0.310972 − 0.398632I
b = −0.366384 − 1.292500I
−2.01422 − 4.12574I 0
u = 0.463047 − 0.963662I
a = −0.310972 + 0.398632I
b = −0.366384 + 1.292500I
−2.01422 + 4.12574I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.348415 + 1.012460I
a = 0.424751 + 1.049490I
b = −1.13700 + 1.17464I
−1.81681 − 5.89795I 0
u = 0.348415 − 1.012460I
a = 0.424751 − 1.049490I
b = −1.13700 − 1.17464I
−1.81681 + 5.89795I 0
u = −0.260060 + 0.891799I
a = 0.40328 + 1.69209I
b = 0.442482 + 0.737460I
−1.16378 + 3.86933I 0
u = −0.260060 − 0.891799I
a = 0.40328 − 1.69209I
b = 0.442482 − 0.737460I
−1.16378 − 3.86933I 0
u = 0.322283 + 1.058810I
a = −0.32019 + 1.97438I
b = −0.724819 + 0.171705I
4.52416 − 1.33006I 0
u = 0.322283 − 1.058810I
a = −0.32019 − 1.97438I
b = −0.724819 − 0.171705I
4.52416 + 1.33006I 0
u = 0.848431 + 0.168472I
a = 0.131548 + 1.127480I
b = −0.817155 + 0.860898I
−4.13960 − 0.14350I −5.03839 + 0.I
u = 0.848431 − 0.168472I
a = 0.131548 − 1.127480I
b = −0.817155 − 0.860898I
−4.13960 + 0.14350I −5.03839 + 0.I
u = 1.012300 + 0.588873I
a = 0.571286 − 0.229065I
b = 0.256746 + 0.158411I
−2.05709 − 1.10515I 0
u = 1.012300 − 0.588873I
a = 0.571286 + 0.229065I
b = 0.256746 − 0.158411I
−2.05709 + 1.10515I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.254540 + 1.156020I
a = 0.1403580 − 0.0076218I
b = −1.35018 + 0.64574I
2.11157 + 4.11612I 0
u = −0.254540 − 1.156020I
a = 0.1403580 + 0.0076218I
b = −1.35018 − 0.64574I
2.11157 − 4.11612I 0
u = 0.740640 + 0.925361I
a = 0.304689 − 0.715656I
b = 0.921977 − 0.586632I
0.78218 − 1.87843I 0
u = 0.740640 − 0.925361I
a = 0.304689 + 0.715656I
b = 0.921977 + 0.586632I
0.78218 + 1.87843I 0
u = −0.380631 + 1.128760I
a = −0.175743 − 1.390820I
b = −0.455920 − 0.846300I
−0.94551 + 12.60900I 0
u = −0.380631 − 1.128760I
a = −0.175743 + 1.390820I
b = −0.455920 + 0.846300I
−0.94551 − 12.60900I 0
u = −0.105071 + 1.203420I
a = 0.404050 − 0.661355I
b = −1.16970 − 1.46170I
2.97536 − 1.85225I 0
u = −0.105071 − 1.203420I
a = 0.404050 + 0.661355I
b = −1.16970 + 1.46170I
2.97536 + 1.85225I 0
u = −0.423640 + 0.652872I
a = 0.202449 + 0.607854I
b = 0.57156 + 1.48292I
1.27459 + 4.73327I 12.6951 − 12.6295I
u = −0.423640 − 0.652872I
a = 0.202449 − 0.607854I
b = 0.57156 − 1.48292I
1.27459 − 4.73327I 12.6951 + 12.6295I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.134521 + 1.261510I
a = −1.67845 + 1.30001I
b = 0.382572 + 0.089416I
1.46152 − 2.69471I 0
u = 0.134521 − 1.261510I
a = −1.67845 − 1.30001I
b = 0.382572 − 0.089416I
1.46152 + 2.69471I 0
u = 0.113169 + 1.372220I
a = −0.622355 − 0.264786I
b = 0.972714 − 0.428116I
5.61016 − 3.95415I 0
u = 0.113169 − 1.372220I
a = −0.622355 + 0.264786I
b = 0.972714 + 0.428116I
5.61016 + 3.95415I 0
u = 0.095583 + 0.567339I
a = 1.91480 + 0.38451I
b = −1.265590 + 0.418189I
−4.06186 + 0.64645I −14.2909 + 1.0254I
u = 0.095583 − 0.567339I
a = 1.91480 − 0.38451I
b = −1.265590 − 0.418189I
−4.06186 − 0.64645I −14.2909 − 1.0254I
u = 0.52071 + 1.38516I
a = 0.535218 + 0.987297I
b = −1.33404 + 0.87930I
0.85421 − 11.76320I 0
u = 0.52071 − 1.38516I
a = 0.535218 − 0.987297I
b = −1.33404 − 0.87930I
0.85421 + 11.76320I 0
u = 0.62422 + 1.38740I
a = −0.007551 − 0.668605I
b = 0.745450 − 0.195378I
2.52561 − 4.46494I 0
u = 0.62422 − 1.38740I
a = −0.007551 + 0.668605I
b = 0.745450 + 0.195378I
2.52561 + 4.46494I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.47713 + 1.50793I
a = −0.550172 − 0.704910I
b = 1.35345 − 0.76061I
2.34916 − 7.47849I 0
u = 0.47713 − 1.50793I
a = −0.550172 + 0.704910I
b = 1.35345 + 0.76061I
2.34916 + 7.47849I 0
u = 1.66038 + 0.24868I
a = −0.033942 − 0.388097I
b = −0.029506 − 1.234790I
−3.38739 − 0.10775I 0
u = 1.66038 − 0.24868I
a = −0.033942 + 0.388097I
b = −0.029506 + 1.234790I
−3.38739 + 0.10775I 0
u = −0.245794 + 0.145315I
a = 2.34820 − 4.07379I
b = 0.896756 + 0.034256I
−5.03821 + 6.07898I −6.31753 − 5.17162I
u = −0.245794 − 0.145315I
a = 2.34820 + 4.07379I
b = 0.896756 − 0.034256I
−5.03821 − 6.07898I −6.31753 + 5.17162I
u = −1.60757 + 1.31899I
a = −0.145236 − 0.096912I
b = −0.260032 + 0.322078I
−1.65380 − 7.12368I 0
u = −1.60757 − 1.31899I
a = −0.145236 + 0.096912I
b = −0.260032 − 0.322078I
−1.65380 + 7.12368I 0
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
121(11u
48
− 162u
47
+ ··· + 5u + 5)
· (11u
204
+ 171u
203
+ ··· − 6231u + 443)
c
2
(u
48
+ 3u
47
+ ··· + 9u + 11)(u
204
− 6u
203
+ ··· + 6585u + 737)
c
3
(u
48
+ 4u
47
+ ··· + 111u + 97)
· (u
204
− 3u
203
+ ··· − 2321327084713u + 643304208535)
c
4
(u
48
− 3u
47
+ ··· + 79u + 11)
· (u
204
+ 2u
203
+ ··· + 6641457u + 742643)
c
5
121(11u
48
− 51u
47
+ ··· − 2440u + 425)
· (11u
204
+ 14u
203
+ ··· + 15241257498888u + 1117928706065)
c
6
121(11u
48
− 73u
47
+ ··· − 5u + 1)(11u
204
+ 58u
203
+ ··· + 15u + 1)
c
7
(u
48
− 2u
47
+ ··· + 63u + 11)(u
204
+ u
203
+ ··· + 8125089u + 260381)
c
8
(u
48
− 9u
47
+ ··· − 58u + 53)
· (u
204
+ 6u
203
+ ··· − 13656618u + 2485901)
c
9
(u
48
− 2u
47
+ ··· − 19u + 17)
· (u
204
+ u
203
+ ··· − 408235371u + 22543039)
c
10
(u
48
+ 17u
46
+ ··· + 29u + 11)(u
204
+ u
203
+ ··· − 733531u + 192929)
c
11
(u
48
+ 9u
47
+ ··· + 58u + 53)
· (u
204
+ 6u
203
+ ··· − 13656618u + 2485901)
c
12
121(11u
48
− 30u
47
+ ··· + u + 1)(11u
204
+ 61u
203
+ ··· + 23u + 1)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
14641(121y
48
+ 464y
47
+ ··· − 565y + 25)
· (121y
204
+ 41y
203
+ ··· + 74620737y + 196249)
c
2
(y
48
+ 3y
47
+ ··· + 2009y + 121)
· (y
204
+ 16y
203
+ ··· + 58072559y + 543169)
c
3
(y
48
− 14y
47
+ ··· − 313215y + 9409)
· (y
204
− 89y
203
+ ··· − 2.86 × 10
25
y + 4.14 × 10
23
)
c
4
(y
48
− 11y
47
+ ··· − 3513y + 121)
· (y
204
− 46y
203
+ ··· − 47363971689995y + 551518625449)
c
5
14641(121y
48
+ 1073y
47
+ ··· + 2323700y + 180625)
· (121y
204
+ 9374y
203
+ ··· + 3.13 × 10
25
y + 1.25 × 10
24
)
c
6
14641(121y
48
− 1831y
47
+ ··· − 45y + 1)
· (121y
204
− 2726y
203
+ ··· + 117y + 1)
c
7
(y
48
− 6y
47
+ ··· + 2015y + 121)
· (y
204
+ 23y
203
+ ··· + 11743856834025y + 67798265161)
c
8
, c
11
(y
48
+ 27y
47
+ ··· + 23348y + 2809)
· (y
204
+ 132y
203
+ ··· + 357972369982526y + 6179703781801)
c
9
(y
48
+ 30y
47
+ ··· + 2325y + 289)
· (y
204
− 9y
203
+ ··· − 45177724753263541y + 508188607355521)
c
10
(y
48
+ 34y
47
+ ··· − 71y + 121)
· (y
204
+ 59y
203
+ ··· + 6380936510163y + 37221599041)
c
12
14641(121y
48
− 1956y
47
+ ··· + 43y + 1)
· (121y
204
− 3831y
203
+ ··· + 105y + 1)
37
