12a
1022
(K12a
1022
)
A knot diagram
1
Linearized knot diagam
4 7 6 1 8 11 10 5 12 3 2 9
Solving Sequence
1,5
4
2,9
8 6 3 12 10 7 11
c
4
c
1
c
8
c
5
c
3
c
12
c
9
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
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).
1
I
u
1
= hb − u, a −1, u
11
+ 3u
10
+ 10u
9
+ 16u
8
+ 25u
7
+ 22u
6
+ 17u
5
+ 7u
4
+ 2u
3
+ 2u
2
+ 2u −1i
I
u
2
= hb − u, −32833783u
25
+ 115127419u
24
+ ··· + 15217558a + 63920326, u
26
− 4u
25
+ ··· − 8u + 1i
I
u
3
= h−16207713u
25
+ 59026143u
24
+ ··· + 15217558b + 32833783, a − 1, u
26
− 4u
25
+ ··· − 8u + 1i
I
u
4
= h−1.98504 × 10
21
u
25
− 3.05841 × 10
22
u
24
+ ··· + 4.27582 × 10
21
b − 1.24580 × 10
24
,
7.78622 × 10
22
u
25
+ 1.18227 × 10
24
u
24
+ ··· + 1.36826 × 10
23
a + 2.49940 × 10
25
,
u
26
+ 16u
25
+ ··· + 4800u + 512i
I
u
5
= hb + u, a + 1, u
10
+ 2u
9
+ 6u
8
+ 6u
7
+ 9u
6
+ 5u
5
+ 6u
4
+ 3u
3
+ 3u
2
+ u + 1i
I
u
6
= hb + u, 2u
9
+ u
8
+ 10u
7
+ 8u
6
+ 22u
5
+ 19u
4
+ 25u
3
+ 17u
2
+ a + 13u + 3,
u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1i
I
u
7
= h−u
9
− 4u
7
− 2u
6
− 7u
5
− 5u
4
− 7u
3
− 5u
2
+ b − 5u − 2, a + 1,
u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1i
I
u
8
= h136u
9
+ 138u
8
+ 938u
7
+ 182u
6
+ 237u
5
− 1628u
4
− 2106u
3
− 2845u
2
+ 809b − 2290u − 883,
883u
9
+ 3668u
8
+ ··· + 809a + 2125,
u
10
+ 4u
9
+ 15u
8
+ 34u
7
+ 57u
6
+ 71u
5
+ 66u
4
+ 45u
3
+ 20u
2
+ 5u + 1i
I
u
9
= h−3.23739 × 10
22
u
35
+ 2.81046 × 10
23
u
34
+ ··· + 6.80585 × 10
22
b + 8.32842 × 10
23
,
− 2.58181 × 10
25
au
35
− 1.04570 × 10
25
u
35
+ ··· + 6.94260 × 10
26
a − 5.64319 × 10
26
,
u
36
− 9u
35
+ ··· − 134u + 31i
* 9 irreducible components of dim
C
= 0, with total 201 representations.
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
2
I. I
u
1
= hb − u, a − 1, u
11
+ 3u
10
+ · · · + 2u − 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
1
u
a
8
=
u + 1
u
a
6
=
u
2
+ u + 1
u
2
a
3
=
u
6
+ 2u
5
+ 4u
4
+ 3u
3
+ 2u
2
+ 1
u
6
+ u
5
+ 2u
4
− u
2
a
12
=
u
u
2
+ u
a
10
=
u
2
+ 1
u
3
+ u
2
+ u
a
7
=
u
6
+ u
5
+ 3u
4
+ u
3
+ 2u
2
+ u + 1
u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ u
a
11
=
−u
5
− u
4
− 2u
3
+ u
u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u
2
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −3u
10
− 9u
9
− 27u
8
− 45u
7
− 63u
6
− 63u
5
− 45u
4
− 24u
3
− 12u
2
− 9
3
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
u
11
− 3u
10
+ ··· + 2u + 1
c
2
, c
6
, c
10
u
11
+ 5u
10
+ 13u
9
+ 20u
8
+ 21u
7
+ 15u
6
+ 9u
5
+ 4u
4
+ 2u
3
+ u + 1
c
3
, c
7
, c
11
u
11
+ 6u
10
+ ··· + 13u + 2
4
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
y
11
+ 11y
10
+ ··· + 8y − 1
c
2
, c
6
, c
10
y
11
+ y
10
+ ··· + y − 1
c
3
, c
7
, c
11
y
11
+ 2y
10
+ ··· + 73y − 4
5
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.774257 + 0.374083I
a = 1.00000
b = −0.774257 + 0.374083I
−4.25720 − 4.91168I −10.85180 + 1.59612I
u = −0.774257 − 0.374083I
a = 1.00000
b = −0.774257 − 0.374083I
−4.25720 + 4.91168I −10.85180 − 1.59612I
u = −0.270847 + 1.340850I
a = 1.00000
b = −0.270847 + 1.340850I
8.14535 − 0.73285I 1.25794 + 2.64536I
u = −0.270847 − 1.340850I
a = 1.00000
b = −0.270847 − 1.340850I
8.14535 + 0.73285I 1.25794 − 2.64536I
u = 0.342788 + 0.497406I
a = 1.00000
b = 0.342788 + 0.497406I
−0.04623 − 2.08057I −2.30453 + 3.92520I
u = 0.342788 − 0.497406I
a = 1.00000
b = 0.342788 − 0.497406I
−0.04623 + 2.08057I −2.30453 − 3.92520I
u = −0.39626 + 1.49188I
a = 1.00000
b = −0.39626 + 1.49188I
13.36520 + 3.24725I 3.49713 − 0.24747I
u = −0.39626 − 1.49188I
a = 1.00000
b = −0.39626 − 1.49188I
13.36520 − 3.24725I 3.49713 + 0.24747I
u = −0.55532 + 1.54667I
a = 1.00000
b = −0.55532 + 1.54667I
7.1043 + 20.4661I −2.35751 − 9.89201I
u = −0.55532 − 1.54667I
a = 1.00000
b = −0.55532 − 1.54667I
7.1043 − 20.4661I −2.35751 + 9.89201I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.307797
a = 1.00000
b = 0.307797
−0.919687 −11.4820
7
II. I
u
2
= hb − u, −3.28 × 10
7
u
25
+ 1.15 × 10
8
u
24
+ · · · + 1.52 × 10
7
a + 6.39 ×
10
7
, u
26
− 4u
25
+ · · · − 8u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
2.15762u
25
− 7.56543u
24
+ ··· + 34.1422u − 4.20043
u
a
8
=
2.15762u
25
− 7.56543u
24
+ ··· + 35.1422u − 4.20043
u
a
6
=
1.06507u
25
− 3.87882u
24
+ ··· + 13.0606u − 1.15762
u
2
a
3
=
1.37871u
25
− 5.67363u
24
+ ··· + 8.30834u − 0.326775
0.345083u
25
− 0.871352u
24
+ ··· − 1.72715u + 0.250749
a
12
=
2.81841u
25
− 11.6053u
24
+ ··· + 65.4231u − 14.0818
0.381448u
25
− 1.80464u
24
+ ··· + 7.36291u − 1.06507
a
10
=
5.49898u
25
− 20.1756u
24
+ ··· + 66.5441u − 14.9384
1.06538u
25
− 3.01528u
24
+ ··· + 1.89123u − 0.733408
a
7
=
0.994418u
25
− 5.04490u
24
+ ··· + 6.41196u − 2.43422
0.501690u
25
− 2.09040u
24
+ ··· + 0.933452u − 0.423238
a
11
=
2.80974u
25
− 11.3423u
24
+ ··· + 61.9904u − 13.1672
0.457444u
25
− 2.03581u
24
+ ··· + 8.95996u − 1.75125
(ii) Obstruction class = −1
(iii) Cusp Shapes =
75282671
7608779
u
25
−
266619655
7608779
u
24
+ ··· +
938353524
7608779
u −
212625691
7608779
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
c
8
u
26
+ 4u
25
+ ··· + 8u + 1
c
2
u
26
+ 22u
25
+ ··· + 152u + 32
c
3
u
26
+ 27u
25
+ ··· + 65536u + 4096
c
6
, c
10
u
26
− 5u
25
+ ··· − 4u + 1
c
7
, c
11
u
26
− 4u
25
+ ··· − 7u + 1
c
9
, c
12
u
26
− 16u
25
+ ··· − 4800u + 512
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
y
26
+ 26y
25
+ ··· − 26y + 1
c
2
y
26
− 4y
25
+ ··· − 11584y + 1024
c
3
y
26
+ 7y
25
+ ··· + 645922816y + 16777216
c
6
, c
10
y
26
+ 5y
25
+ ··· − 6y + 1
c
7
, c
11
y
26
+ 8y
25
+ ··· + y + 1
c
9
, c
12
y
26
+ 14y
25
+ ··· + 1110016y + 262144
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.813745 + 0.422636I
a = −0.813664 − 0.438057I
b = 0.813745 + 0.422636I
−2.68290 − 3.01106I −20.1229 + 10.7502I
u = 0.813745 − 0.422636I
a = −0.813664 + 0.438057I
b = 0.813745 − 0.422636I
−2.68290 + 3.01106I −20.1229 − 10.7502I
u = 0.123424 + 1.162910I
a = −1.93663 + 0.49379I
b = 0.123424 + 1.162910I
5.90859 + 4.10061I 2.79728 − 10.32745I
u = 0.123424 − 1.162910I
a = −1.93663 − 0.49379I
b = 0.123424 − 1.162910I
5.90859 − 4.10061I 2.79728 + 10.32745I
u = 0.769690 + 0.075945I
a = −0.525711 + 1.029160I
b = 0.769690 + 0.075945I
−2.57819 + 0.87030I −17.9709 + 1.0721I
u = 0.769690 − 0.075945I
a = −0.525711 − 1.029160I
b = 0.769690 − 0.075945I
−2.57819 − 0.87030I −17.9709 − 1.0721I
u = −0.729341 + 0.116282I
a = 0.55820 + 1.49864I
b = −0.729341 + 0.116282I
−2.36667 − 9.84234I −8.56561 + 5.66390I
u = −0.729341 − 0.116282I
a = 0.55820 − 1.49864I
b = −0.729341 − 0.116282I
−2.36667 + 9.84234I −8.56561 − 5.66390I
u = −0.056569 + 1.303740I
a = 0.746392 + 1.143550I
b = −0.056569 + 1.303740I
6.70389 − 1.79520I 5.95883 + 1.74216I
u = −0.056569 − 1.303740I
a = 0.746392 − 1.143550I
b = −0.056569 − 1.303740I
6.70389 + 1.79520I 5.95883 − 1.74216I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.302846 + 1.282200I
a = 0.451565 + 1.043670I
b = −0.302846 + 1.282200I
1.37803 + 13.53090I −3.53647 − 9.06833I
u = −0.302846 − 1.282200I
a = 0.451565 − 1.043670I
b = −0.302846 − 1.282200I
1.37803 − 13.53090I −3.53647 + 9.06833I
u = 0.272167 + 1.326590I
a = −0.079220 + 0.807508I
b = 0.272167 + 1.326590I
3.18245 − 5.41198I −1.04824 + 12.39529I
u = 0.272167 − 1.326590I
a = −0.079220 − 0.807508I
b = 0.272167 − 1.326590I
3.18245 + 5.41198I −1.04824 − 12.39529I
u = −0.042971 + 1.360470I
a = 0.454407 + 0.559333I
b = −0.042971 + 1.360470I
6.99635 − 1.64768I 2.93239 + 1.38429I
u = −0.042971 − 1.360470I
a = 0.454407 − 0.559333I
b = −0.042971 − 1.360470I
6.99635 + 1.64768I 2.93239 − 1.38429I
u = −0.359342 + 0.383452I
a = 1.45268 − 1.73242I
b = −0.359342 + 0.383452I
1.79210 − 2.89318I −5.66787 + 3.03704I
u = −0.359342 − 0.383452I
a = 1.45268 + 1.73242I
b = −0.359342 − 0.383452I
1.79210 + 2.89318I −5.66787 − 3.03704I
u = 0.33767 + 1.48359I
a = −1.092450 + 0.239272I
b = 0.33767 + 1.48359I
10.3557 − 10.3695I 2.75046 + 9.04972I
u = 0.33767 − 1.48359I
a = −1.092450 − 0.239272I
b = 0.33767 − 1.48359I
10.3557 + 10.3695I 2.75046 − 9.04972I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.42218 + 1.54686I
a = −0.749536 − 0.070449I
b = 0.42218 + 1.54686I
8.98409 − 4.61256I 0. + 3.52913I
u = 0.42218 − 1.54686I
a = −0.749536 + 0.070449I
b = 0.42218 − 1.54686I
8.98409 + 4.61256I 0. − 3.52913I
u = 0.52411 + 1.57107I
a = −0.900686 + 0.050431I
b = 0.52411 + 1.57107I
7.28763 − 11.38750I −6.0000 + 13.5374I
u = 0.52411 − 1.57107I
a = −0.900686 − 0.050431I
b = 0.52411 − 1.57107I
7.28763 + 11.38750I −6.0000 − 13.5374I
u = 0.228076 + 0.082713I
a = 3.43466 + 2.50584I
b = 0.228076 + 0.082713I
−0.54783 − 2.31386I −1.42706 + 8.46763I
u = 0.228076 − 0.082713I
a = 3.43466 − 2.50584I
b = 0.228076 − 0.082713I
−0.54783 + 2.31386I −1.42706 − 8.46763I
13
III. I
u
3
= h−1.62 × 10
7
u
25
+ 5.90 × 10
7
u
24
+ · · · + 1.52 × 10
7
b + 3.28 ×
10
7
, a − 1, u
26
− 4u
25
+ · · · − 8u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
1
1.06507u
25
− 3.87882u
24
+ ··· + 13.0606u − 2.15762
a
8
=
1.06507u
25
− 3.87882u
24
+ ··· + 13.0606u − 1.15762
1.06507u
25
− 3.87882u
24
+ ··· + 13.0606u − 2.15762
a
6
=
0.733408u
25
− 1.86826u
24
+ ··· + 21.5260u − 3.97603
−0.331658u
25
+ 2.01056u
24
+ ··· + 8.46544u − 2.81841
a
3
=
0.423238u
25
− 1.19126u
24
+ ··· + 2.13478u − 2.45245
−0.733252u
25
+ 3.33702u
24
+ ··· − 16.2748u + 2.22898
a
12
=
u
0.381448u
25
− 1.80464u
24
+ ··· + 7.36291u − 1.06507
a
10
=
u
2
+ 1
0.786222u
25
− 3.01419u
24
+ ··· + 15.0471u − 2.53907
a
7
=
1.75125u
25
− 6.54757u
24
+ ··· + 28.4703u − 5.05007
1.01789u
25
− 3.75446u
24
+ ··· + 14.8401u − 4.05295
a
11
=
0.250749u
25
− 1.34808u
24
+ ··· + 3.61220u − 0.278844
0.639680u
25
− 2.50923u
24
+ ··· + 7.76212u − 1.13131
(ii) Obstruction class = −1
(iii) Cusp Shapes =
75282671
7608779
u
25
−
266619655
7608779
u
24
+ ··· +
938353524
7608779
u −
212625691
7608779
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
9
c
12
u
26
+ 4u
25
+ ··· + 8u + 1
c
2
, c
6
u
26
− 5u
25
+ ··· − 4u + 1
c
3
, c
7
u
26
− 4u
25
+ ··· − 7u + 1
c
5
, c
8
u
26
− 16u
25
+ ··· − 4800u + 512
c
10
u
26
+ 22u
25
+ ··· + 152u + 32
c
11
u
26
+ 27u
25
+ ··· + 65536u + 4096
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
9
c
12
y
26
+ 26y
25
+ ··· − 26y + 1
c
2
, c
6
y
26
+ 5y
25
+ ··· − 6y + 1
c
3
, c
7
y
26
+ 8y
25
+ ··· + y + 1
c
5
, c
8
y
26
+ 14y
25
+ ··· + 1110016y + 262144
c
10
y
26
− 4y
25
+ ··· − 11584y + 1024
c
11
y
26
+ 7y
25
+ ··· + 645922816y + 16777216
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.813745 + 0.422636I
a = 1.00000
b = −0.476976 − 0.700351I
−2.68290 − 3.01106I −20.1229 + 10.7502I
u = 0.813745 − 0.422636I
a = 1.00000
b = −0.476976 + 0.700351I
−2.68290 + 3.01106I −20.1229 − 10.7502I
u = 0.123424 + 1.162910I
a = 1.00000
b = −0.81325 − 2.19118I
5.90859 + 4.10061I 2.79728 − 10.32745I
u = 0.123424 − 1.162910I
a = 1.00000
b = −0.81325 + 2.19118I
5.90859 − 4.10061I 2.79728 + 10.32745I
u = 0.769690 + 0.075945I
a = 1.00000
b = −0.482793 + 0.752206I
−2.57819 + 0.87030I −17.9709 + 1.0721I
u = 0.769690 − 0.075945I
a = 1.00000
b = −0.482793 − 0.752206I
−2.57819 − 0.87030I −17.9709 − 1.0721I
u = −0.729341 + 0.116282I
a = 1.00000
b = −0.581380 − 1.028110I
−2.36667 − 9.84234I −8.56561 + 5.66390I
u = −0.729341 − 0.116282I
a = 1.00000
b = −0.581380 + 1.028110I
−2.36667 + 9.84234I −8.56561 − 5.66390I
u = −0.056569 + 1.303740I
a = 1.00000
b = −1.53312 + 0.90841I
6.70389 − 1.79520I 5.95883 + 1.74216I
u = −0.056569 − 1.303740I
a = 1.00000
b = −1.53312 − 0.90841I
6.70389 + 1.79520I 5.95883 − 1.74216I
17
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.302846 + 1.282200I
a = 1.00000
b = −1.47496 + 0.26293I
1.37803 + 13.53090I −3.53647 − 9.06833I
u = −0.302846 − 1.282200I
a = 1.00000
b = −1.47496 − 0.26293I
1.37803 − 13.53090I −3.53647 + 9.06833I
u = 0.272167 + 1.326590I
a = 1.00000
b = −1.092800 + 0.114684I
3.18245 − 5.41198I −1.04824 + 12.39529I
u = 0.272167 − 1.326590I
a = 1.00000
b = −1.092800 − 0.114684I
3.18245 + 5.41198I −1.04824 − 12.39529I
u = −0.042971 + 1.360470I
a = 1.00000
b = −0.780481 + 0.594171I
6.99635 − 1.64768I 2.93239 + 1.38429I
u = −0.042971 − 1.360470I
a = 1.00000
b = −0.780481 − 0.594171I
6.99635 + 1.64768I 2.93239 − 1.38429I
u = −0.359342 + 0.383452I
a = 1.00000
b = 0.142290 + 1.179570I
1.79210 − 2.89318I −5.66787 + 3.03704I
u = −0.359342 − 0.383452I
a = 1.00000
b = 0.142290 − 1.179570I
1.79210 + 2.89318I −5.66787 − 3.03704I
u = 0.33767 + 1.48359I
a = 1.00000
b = −0.72387 − 1.53996I
10.3557 − 10.3695I 2.75046 + 9.04972I
u = 0.33767 − 1.48359I
a = 1.00000
b = −0.72387 + 1.53996I
10.3557 + 10.3695I 2.75046 − 9.04972I
18
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.42218 + 1.54686I
a = 1.00000
b = −0.207464 − 1.189170I
8.98409 − 4.61256I 0. + 3.52913I
u = 0.42218 − 1.54686I
a = 1.00000
b = −0.207464 + 1.189170I
8.98409 + 4.61256I 0. − 3.52913I
u = 0.52411 + 1.57107I
a = 1.00000
b = −0.55129 − 1.38861I
7.28763 − 11.38750I −6.0000 + 13.5374I
u = 0.52411 − 1.57107I
a = 1.00000
b = −0.55129 + 1.38861I
7.28763 + 11.38750I −6.0000 − 13.5374I
u = 0.228076 + 0.082713I
a = 1.00000
b = 0.576097 + 0.855613I
−0.54783 − 2.31386I −1.42706 + 8.46763I
u = 0.228076 − 0.082713I
a = 1.00000
b = 0.576097 − 0.855613I
−0.54783 + 2.31386I −1.42706 − 8.46763I
19
IV. I
u
4
= h−1.99 × 10
21
u
25
− 3.06 × 10
22
u
24
+ · · · + 4.28 × 10
21
b − 1.25 ×
10
24
, 7.79 × 10
22
u
25
+ 1.18 × 10
24
u
24
+ · · · + 1.37 × 10
23
a + 2.50 ×
10
25
, u
26
+ 16u
25
+ · · · + 4800u + 512i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−0.569059u
25
− 8.64070u
24
+ ··· − 1794.38u − 182.670
0.464247u
25
+ 7.15281u
24
+ ··· + 2548.81u + 291.358
a
8
=
−0.104812u
25
− 1.48789u
24
+ ··· + 754.438u + 108.689
0.464247u
25
+ 7.15281u
24
+ ··· + 2548.81u + 291.358
a
6
=
−0.163997u
25
− 2.44303u
24
+ ··· + 647.490u + 104.877
0.168292u
25
+ 2.70530u
24
+ ··· + 1528.73u + 170.132
a
3
=
−0.160379u
25
− 2.67664u
24
+ ··· − 1537.33u − 176.728
−0.437158u
25
− 6.49946u
24
+ ··· − 605.410u − 41.8128
a
12
=
−0.332289u
25
− 5.14833u
24
+ ··· − 881.241u − 66.2547
0.168292u
25
+ 2.70530u
24
+ ··· + 1529.73u + 170.132
a
10
=
−0.465710u
25
− 7.70167u
24
+ ··· − 3049.11u − 314.804
−0.525455u
25
− 7.49088u
24
+ ··· − 16.4232u + 0.749111
a
7
=
−2.04513u
25
− 33.1074u
24
+ ··· − 13615.2u − 1488.51
0.602416u
25
+ 10.4558u
24
+ ··· + 8812.89u + 1024.21
a
11
=
−0.163806u
25
− 2.61622u
24
+ ··· − 22.1965u + 33.6433
−0.191654u
25
− 2.70075u
24
+ ··· − 28.4066u − 13.5376
(ii) Obstruction class = −1
(iii) Cusp Shapes =
8677123745570668955903
2137910852471657101464
u
25
+
37110273149493833583689
534477713117914275366
u
24
+ ··· +
14742195626650572055925240
267238856558957137683
u +
592218296124020712509686
89079618852985712561
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
26
− 16u
25
+ ··· − 4800u + 512
c
2
, c
10
u
26
− 5u
25
+ ··· − 4u + 1
c
3
, c
11
u
26
− 4u
25
+ ··· − 7u + 1
c
5
, c
8
, c
9
c
12
u
26
+ 4u
25
+ ··· + 8u + 1
c
6
u
26
+ 22u
25
+ ··· + 152u + 32
c
7
u
26
+ 27u
25
+ ··· + 65536u + 4096
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
26
+ 14y
25
+ ··· + 1110016y + 262144
c
2
, c
10
y
26
+ 5y
25
+ ··· − 6y + 1
c
3
, c
11
y
26
+ 8y
25
+ ··· + y + 1
c
5
, c
8
, c
9
c
12
y
26
+ 26y
25
+ ··· − 26y + 1
c
6
y
26
− 4y
25
+ ··· − 11584y + 1024
c
7
y
26
+ 7y
25
+ ··· + 645922816y + 16777216
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.780481 + 0.594171I
a = 0.874972 − 1.077010I
b = −0.042971 + 1.360470I
6.99635 − 1.64768I 2.93239 + 1.38429I
u = −0.780481 − 0.594171I
a = 0.874972 + 1.077010I
b = −0.042971 − 1.360470I
6.99635 + 1.64768I 2.93239 − 1.38429I
u = 0.576097 + 0.855613I
a = 0.190011 − 0.138627I
b = 0.228076 + 0.082713I
−0.54783 − 2.31386I −1.42706 + 8.46763I
u = 0.576097 − 0.855613I
a = 0.190011 + 0.138627I
b = 0.228076 − 0.082713I
−0.54783 + 2.31386I −1.42706 − 8.46763I
u = −1.092800 + 0.114684I
a = −0.120333 − 1.226570I
b = 0.272167 + 1.326590I
3.18245 − 5.41198I −1.04824 + 12.39529I
u = −1.092800 − 0.114684I
a = −0.120333 + 1.226570I
b = 0.272167 − 1.326590I
3.18245 + 5.41198I −1.04824 − 12.39529I
u = −0.482793 + 0.752206I
a = −0.393633 − 0.770595I
b = 0.769690 + 0.075945I
−2.57819 + 0.87030I −17.9709 + 1.0721I
u = −0.482793 − 0.752206I
a = −0.393633 + 0.770595I
b = 0.769690 − 0.075945I
−2.57819 − 0.87030I −17.9709 − 1.0721I
u = −0.476976 + 0.700351I
a = −0.952831 − 0.512982I
b = 0.813745 − 0.422636I
−2.68290 + 3.01106I −20.1229 − 10.7502I
u = −0.476976 − 0.700351I
a = −0.952831 + 0.512982I
b = 0.813745 + 0.422636I
−2.68290 − 3.01106I −20.1229 + 10.7502I
23
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.581380 + 1.028110I
a = 0.218258 + 0.585977I
b = −0.729341 − 0.116282I
−2.36667 + 9.84234I −6.00000 − 5.66390I
u = −0.581380 − 1.028110I
a = 0.218258 − 0.585977I
b = −0.729341 + 0.116282I
−2.36667 − 9.84234I −6.00000 + 5.66390I
u = 0.142290 + 1.179570I
a = 0.284195 + 0.338921I
b = −0.359342 + 0.383452I
1.79210 − 2.89318I −6.00000 + 3.03704I
u = 0.142290 − 1.179570I
a = 0.284195 − 0.338921I
b = −0.359342 − 0.383452I
1.79210 + 2.89318I −6.00000 − 3.03704I
u = −0.207464 + 1.189170I
a = −1.322480 − 0.124300I
b = 0.42218 − 1.54686I
8.98409 + 4.61256I 0. − 3.52913I
u = −0.207464 − 1.189170I
a = −1.322480 + 0.124300I
b = 0.42218 + 1.54686I
8.98409 − 4.61256I 0. + 3.52913I
u = −0.55129 + 1.38861I
a = −1.106800 + 0.061971I
b = 0.52411 − 1.57107I
7.28763 + 11.38750I 0
u = −0.55129 − 1.38861I
a = −1.106800 − 0.061971I
b = 0.52411 + 1.57107I
7.28763 − 11.38750I 0
u = −1.47496 + 0.26293I
a = 0.349193 − 0.807068I
b = −0.302846 + 1.282200I
1.37803 + 13.53090I 0
u = −1.47496 − 0.26293I
a = 0.349193 + 0.807068I
b = −0.302846 − 1.282200I
1.37803 − 13.53090I 0
24
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.72387 + 1.53996I
a = −0.873470 + 0.191310I
b = 0.33767 − 1.48359I
10.3557 + 10.3695I 0
u = −0.72387 − 1.53996I
a = −0.873470 − 0.191310I
b = 0.33767 + 1.48359I
10.3557 − 10.3695I 0
u = −1.53312 + 0.90841I
a = 0.400250 − 0.613226I
b = −0.056569 + 1.303740I
6.70389 − 1.79520I 0
u = −1.53312 − 0.90841I
a = 0.400250 + 0.613226I
b = −0.056569 − 1.303740I
6.70389 + 1.79520I 0
u = −0.81325 + 2.19118I
a = −0.484841 + 0.123620I
b = 0.123424 − 1.162910I
5.90859 − 4.10061I 0
u = −0.81325 − 2.19118I
a = −0.484841 − 0.123620I
b = 0.123424 + 1.162910I
5.90859 + 4.10061I 0
25
V. I
u
5
= hb + u, a + 1, u
10
+ 2u
9
+ · · · + u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−1
−u
a
8
=
−u − 1
−u
a
6
=
u
2
+ u + 1
u
2
a
3
=
u
6
+ 2u
5
+ 4u
4
+ 3u
3
+ 2u
2
+ 1
u
6
+ u
5
+ 2u
4
− u
2
a
12
=
u
u
2
+ u
a
10
=
−u
2
− 1
−u
3
− u
2
− u
a
7
=
−u
6
− u
5
− 3u
4
− u
3
− 2u
2
− u − 1
−u
7
− 2u
6
− 4u
5
− 3u
4
− 2u
3
− u
a
11
=
−u
5
− u
4
− 2u
3
+ u
u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u
2
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9u
9
− 15u
8
− 45u
7
− 30u
6
− 48u
5
− 3u
4
− 21u
3
+ 3u
2
− 9u
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
u
10
− 2u
9
+ 6u
8
− 6u
7
+ 9u
6
− 5u
5
+ 6u
4
− 3u
3
+ 3u
2
− u + 1
c
2
, c
6
, c
10
u
10
+ 4u
9
+ 7u
8
+ 5u
7
− u
5
+ 2u
4
+ 2u
3
+ 1
c
3
, c
7
, c
11
u
10
+ 2u
9
+ 3u
8
+ 2u
7
+ 4u
6
+ 6u
5
+ 7u
4
+ 7u
3
+ 6u
2
+ 2u + 1
c
4
, c
8
, c
12
u
10
+ 2u
9
+ 6u
8
+ 6u
7
+ 9u
6
+ 5u
5
+ 6u
4
+ 3u
3
+ 3u
2
+ u + 1
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
y
10
+ 8y
9
+ ··· + 5y + 1
c
2
, c
6
, c
10
y
10
− 2y
9
+ 9y
8
− 13y
7
+ 22y
6
− 19y
5
+ 22y
4
− 4y
3
+ 4y
2
+ 1
c
3
, c
7
, c
11
y
10
+ 2y
9
+ 9y
8
+ 10y
7
+ 18y
6
+ 22y
5
+ 11y
4
+ 19y
3
+ 22y
2
+ 8y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593972 + 0.528332I
a = −1.00000
b = 0.593972 − 0.528332I
−1.80776 + 2.83047I −7.84799 − 7.87651I
u = −0.593972 − 0.528332I
a = −1.00000
b = 0.593972 + 0.528332I
−1.80776 − 2.83047I −7.84799 + 7.87651I
u = 0.037456 + 0.791736I
a = −1.00000
b = −0.037456 − 0.791736I
3.15099 + 3.55822I 1.97031 − 4.83850I
u = 0.037456 − 0.791736I
a = −1.00000
b = −0.037456 + 0.791736I
3.15099 − 3.55822I 1.97031 + 4.83850I
u = 0.488976 + 0.591273I
a = −1.00000
b = −0.488976 − 0.591273I
−0.91950 − 10.96120I −3.05047 + 8.35006I
u = 0.488976 − 0.591273I
a = −1.00000
b = −0.488976 + 0.591273I
−0.91950 + 10.96120I −3.05047 − 8.35006I
u = −0.418129 + 1.235270I
a = −1.00000
b = 0.418129 − 1.235270I
3.17000 + 5.17605I −6.31442 − 5.28622I
u = −0.418129 − 1.235270I
a = −1.00000
b = 0.418129 + 1.235270I
3.17000 − 5.17605I −6.31442 + 5.28622I
u = −0.51433 + 1.50040I
a = −1.00000
b = 0.51433 − 1.50040I
7.92081 + 10.40350I −1.25743 − 5.25485I
u = −0.51433 − 1.50040I
a = −1.00000
b = 0.51433 + 1.50040I
7.92081 − 10.40350I −1.25743 + 5.25485I
29
VI. I
u
6
= hb + u, 2u
9
+ u
8
+ · · · + a + 3, u
10
+ u
9
+ · · · + 4u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−2u
9
− u
8
− 10u
7
− 8u
6
− 22u
5
− 19u
4
− 25u
3
− 17u
2
− 13u − 3
−u
a
8
=
−2u
9
− u
8
− 10u
7
− 8u
6
− 22u
5
− 19u
4
− 25u
3
− 17u
2
− 14u − 3
−u
a
6
=
−u
9
− 4u
7
− 2u
6
− 7u
5
− 5u
4
− 7u
3
− 4u
2
− 5u − 1
u
2
a
3
=
2u
9
+ 2u
8
+ 8u
7
+ 10u
6
+ 15u
5
+ 16u
4
+ 12u
3
+ 7u
2
+ 3u + 1
u
8
+ u
7
+ 5u
6
+ 5u
5
+ 10u
4
+ 9u
3
+ 7u
2
+ 4u + 1
a
12
=
−u
9
− u
8
− 6u
7
− 5u
6
− 14u
5
− 10u
4
− 14u
3
− 5u
2
− 3u + 2
u
9
+ u
8
+ 4u
7
+ 5u
6
+ 8u
5
+ 8u
4
+ 7u
3
+ 4u
2
+ 3u + 1
a
10
=
−2u
9
− u
8
− 7u
7
− 3u
6
− 9u
5
+ u
4
+ 2u
3
+ 12u
2
+ 7u + 5
−2u
8
− 2u
7
− 8u
6
− 9u
5
− 15u
4
− 13u
3
− 10u
2
− 4u − 1
a
7
=
−2u
8
− 6u
6
− u
5
− 6u
4
+ u
3
+ 2u
2
+ 4u + 1
−u
8
− 2u
7
− 5u
6
− 8u
5
− 11u
4
− 12u
3
− 9u
2
− 5u − 1
a
11
=
−u
7
+ u
6
− 2u
5
+ 3u
4
+ 6u
2
+ 4u + 4
−u
7
− u
6
− 3u
5
− 4u
4
− 5u
3
− 5u
2
− 3u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = u
9
− 5u
8
− 7u
7
− 21u
6
− 40u
5
− 48u
4
− 70u
3
− 45u
2
− 36u − 13
30
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
10
− u
9
+ 5u
8
− 6u
7
+ 12u
6
− 13u
5
+ 15u
4
− 12u
3
+ 9u
2
− 4u + 1
c
2
u
10
+ 6u
9
+ 18u
8
+ 32u
7
+ 36u
6
+ 23u
5
+ 4u
4
− 7u
3
− 5u
2
+ 1
c
3
u
10
+ 2u
9
+ 9u
8
+ 19u
7
+ 35u
6
+ 35u
5
+ 33u
4
+ 25u
3
+ 14u
2
+ 5u + 1
c
4
, c
8
u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1
c
6
, c
10
u
10
− 4u
9
+ 6u
8
− 2u
7
− 2u
6
+ u
5
− u
4
+ 4u
3
− u
2
− 2u + 1
c
7
, c
11
u
10
+ 2u
8
+ 4u
6
− 3u
3
+ u
2
+ u + 1
c
9
u
10
− 4u
9
+ ··· − 5u + 1
c
12
u
10
+ 4u
9
+ ··· + 5u + 1
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
y
10
+ 9y
9
+ ··· + 2y + 1
c
2
y
10
+ 12y
8
+ 4y
7
+ 42y
6
+ 29y
5
+ 14y
4
− 17y
3
+ 33y
2
− 10y + 1
c
3
y
10
+ 14y
9
+ ··· + 3y + 1
c
6
, c
10
y
10
− 4y
9
+ 16y
8
− 22y
7
+ 26y
6
− 7y
5
+ y
4
− 14y
3
+ 15y
2
− 6y + 1
c
7
, c
11
y
10
+ 4y
9
+ 12y
8
+ 16y
7
+ 18y
6
+ 6y
5
+ 12y
4
− y
3
+ 7y
2
+ y + 1
c
9
, c
12
y
10
+ 14y
9
+ ··· + 15y + 1
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.569171 + 0.652818I
a = 0.207041 − 0.330300I
b = 0.569171 − 0.652818I
−0.80863 + 2.83685I −10.7966 − 10.9454I
u = −0.569171 − 0.652818I
a = 0.207041 + 0.330300I
b = 0.569171 + 0.652818I
−0.80863 − 2.83685I −10.7966 + 10.9454I
u = 0.257088 + 1.121830I
a = 2.10184 + 0.19080I
b = −0.257088 − 1.121830I
5.27004 − 6.36836I 8.9958 + 13.8831I
u = 0.257088 − 1.121830I
a = 2.10184 − 0.19080I
b = −0.257088 + 1.121830I
5.27004 + 6.36836I 8.9958 − 13.8831I
u = −0.265511 + 1.239090I
a = −0.332640 − 0.640183I
b = 0.265511 − 1.239090I
2.50173 + 4.70796I −4.88520 − 6.47804I
u = −0.265511 − 1.239090I
a = −0.332640 + 0.640183I
b = 0.265511 + 1.239090I
2.50173 − 4.70796I −4.88520 + 6.47804I
u = −0.409125 + 0.329081I
a = 0.26951 − 2.14980I
b = 0.409125 − 0.329081I
−0.60938 − 1.82644I −3.43057 − 7.18365I
u = −0.409125 − 0.329081I
a = 0.26951 + 2.14980I
b = 0.409125 + 0.329081I
−0.60938 + 1.82644I −3.43057 + 7.18365I
u = 0.48672 + 1.42706I
a = 0.754245 + 0.189172I
b = −0.48672 − 1.42706I
5.16077 + 2.93340I −3.38341 − 2.82161I
u = 0.48672 − 1.42706I
a = 0.754245 − 0.189172I
b = −0.48672 + 1.42706I
5.16077 − 2.93340I −3.38341 + 2.82161I
33
VII. I
u
7
= h−u
9
− 4u
7
+ · · · + b − 2, a + 1, u
10
+ u
9
+ · · · + 4u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−1
u
9
+ 4u
7
+ 2u
6
+ 7u
5
+ 5u
4
+ 7u
3
+ 5u
2
+ 5u + 2
a
8
=
u
9
+ 4u
7
+ 2u
6
+ 7u
5
+ 5u
4
+ 7u
3
+ 5u
2
+ 5u + 1
u
9
+ 4u
7
+ 2u
6
+ 7u
5
+ 5u
4
+ 7u
3
+ 5u
2
+ 5u + 2
a
6
=
−u
9
− u
8
− 3u
7
− 4u
6
− 4u
5
− 4u
4
+ u
2
+ u
−u
8
+ u
7
− 2u
6
+ 3u
5
+ u
4
+ 7u
3
+ 6u
2
+ 6u + 1
a
3
=
−u
9
− u
8
− 4u
7
− 4u
6
− 7u
5
− 5u
4
− 4u
3
+ 1
−3u
9
− 3u
8
− 14u
7
− 16u
6
− 30u
5
− 30u
4
− 30u
3
− 21u
2
− 12u − 4
a
12
=
u
u
9
+ u
8
+ 4u
7
+ 5u
6
+ 8u
5
+ 8u
4
+ 7u
3
+ 4u
2
+ 3u + 1
a
10
=
−u
2
− 1
u
9
+ u
8
+ 5u
7
+ 6u
6
+ 12u
5
+ 13u
4
+ 15u
3
+ 11u
2
+ 8u + 3
a
7
=
−u
9
− u
8
− 5u
7
− 5u
6
− 11u
5
− 10u
4
− 11u
3
− 7u
2
− 4u − 1
u
9
− u
8
+ 4u
7
− 2u
6
+ 6u
5
− 2u
4
+ 4u
3
− u
2
+ 2u − 1
a
11
=
u
9
+ u
8
+ 4u
7
+ 5u
6
+ 7u
5
+ 8u
4
+ 5u
3
+ 3u
2
+ 2u
u
9
+ u
8
+ 5u
7
+ 5u
6
+ 11u
5
+ 9u
4
+ 10u
3
+ 5u
2
+ 3u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = u
9
− 5u
8
− 7u
7
− 21u
6
− 40u
5
− 48u
4
− 70u
3
− 45u
2
− 36u − 13
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
10
− u
9
+ 5u
8
− 6u
7
+ 12u
6
− 13u
5
+ 15u
4
− 12u
3
+ 9u
2
− 4u + 1
c
2
, c
6
u
10
− 4u
9
+ 6u
8
− 2u
7
− 2u
6
+ u
5
− u
4
+ 4u
3
− u
2
− 2u + 1
c
3
, c
7
u
10
+ 2u
8
+ 4u
6
− 3u
3
+ u
2
+ u + 1
c
4
, c
12
u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1
c
5
u
10
− 4u
9
+ ··· − 5u + 1
c
8
u
10
+ 4u
9
+ ··· + 5u + 1
c
10
u
10
+ 6u
9
+ 18u
8
+ 32u
7
+ 36u
6
+ 23u
5
+ 4u
4
− 7u
3
− 5u
2
+ 1
c
11
u
10
+ 2u
9
+ 9u
8
+ 19u
7
+ 35u
6
+ 35u
5
+ 33u
4
+ 25u
3
+ 14u
2
+ 5u + 1
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
9
c
12
y
10
+ 9y
9
+ ··· + 2y + 1
c
2
, c
6
y
10
− 4y
9
+ 16y
8
− 22y
7
+ 26y
6
− 7y
5
+ y
4
− 14y
3
+ 15y
2
− 6y + 1
c
3
, c
7
y
10
+ 4y
9
+ 12y
8
+ 16y
7
+ 18y
6
+ 6y
5
+ 12y
4
− y
3
+ 7y
2
+ y + 1
c
5
, c
8
y
10
+ 14y
9
+ ··· + 15y + 1
c
10
y
10
+ 12y
8
+ 4y
7
+ 42y
6
+ 29y
5
+ 14y
4
− 17y
3
+ 33y
2
− 10y + 1
c
11
y
10
+ 14y
9
+ ··· + 3y + 1
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = −0.569171 + 0.652818I
a = −1.00000
b = 0.097784 + 0.323157I
−0.80863 + 2.83685I −10.7966 − 10.9454I
u = −0.569171 − 0.652818I
a = −1.00000
b = 0.097784 − 0.323157I
−0.80863 − 2.83685I −10.7966 + 10.9454I
u = 0.257088 + 1.121830I
a = −1.00000
b = 0.32631 + 2.40697I
5.27004 − 6.36836I 8.9958 + 13.8831I
u = 0.257088 − 1.121830I
a = −1.00000
b = 0.32631 − 2.40697I
5.27004 + 6.36836I 8.9958 − 13.8831I
u = −0.265511 + 1.239090I
a = −1.00000
b = 0.881563 − 0.242194I
2.50173 + 4.70796I −4.88520 − 6.47804I
u = −0.265511 − 1.239090I
a = −1.00000
b = 0.881563 + 0.242194I
2.50173 − 4.70796I −4.88520 + 6.47804I
u = −0.409125 + 0.329081I
a = −1.00000
b = 0.597194 + 0.968230I
−0.60938 − 1.82644I −3.43057 − 7.18365I
u = −0.409125 − 0.329081I
a = −1.00000
b = 0.597194 − 0.968230I
−0.60938 + 1.82644I −3.43057 + 7.18365I
u = 0.48672 + 1.42706I
a = −1.00000
b = 0.097146 + 1.168430I
5.16077 + 2.93340I −3.38341 − 2.82161I
u = 0.48672 − 1.42706I
a = −1.00000
b = 0.097146 − 1.168430I
5.16077 − 2.93340I −3.38341 + 2.82161I
37
VIII. I
u
8
= h136u
9
+ 138u
8
+ · · · + 809b − 883, 883u
9
+ 3668u
8
+ · · · +
809a + 2125, u
10
+ 4u
9
+ · · · + 5u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
−1.09147u
9
− 4.53399u
8
+ ··· − 18.3127u − 2.62670
−0.168109u
9
− 0.170581u
8
+ ··· + 2.83066u + 1.09147
a
8
=
−1.25958u
9
− 4.70457u
8
+ ··· − 15.4821u − 1.53523
−0.168109u
9
− 0.170581u
8
+ ··· + 2.83066u + 1.09147
a
6
=
−0.548826u
9
− 2.20396u
8
+ ··· − 2.87639u + 2.23980
−0.469716u
9
− 1.41780u
8
+ ··· + 1.55624u + 0.0791100
a
3
=
0.506799u
9
+ 2.66131u
8
+ ··· + 12.0841u + 2.28307
0.844252u
9
+ 2.57726u
8
+ ··· + 0.710754u − 0.121137
a
12
=
−0.0791100u
9
− 0.786156u
8
+ ··· − 4.43263u + 1.16069
−0.469716u
9
− 1.41780u
8
+ ··· + 2.55624u + 0.0791100
a
10
=
−1.21261u
9
− 4.86279u
8
+ ··· − 12.5377u + 0.0568603
0.489493u
9
+ 1.61434u
8
+ ··· + 8.05192u + 1.38072
a
7
=
0.996292u
9
+ 4.27565u
8
+ ··· + 21.1360u + 4.66378
−0.703337u
9
− 2.05192u
8
+ ··· − 6.87763u − 2.10260
a
11
=
−0.668727u
9
− 2.95797u
8
+ ··· − 6.81335u + 0.702101
0.0741656u
9
+ 0.487021u
8
+ ··· + 5.28059u + 0.724351
(ii) Obstruction class = 1
(iii) Cusp Shapes =
3671
809
u
9
+
16205
809
u
8
+
58500
809
u
7
+
139861
809
u
6
+
229711
809
u
5
+
290863
809
u
4
+
262649
809
u
3
+
173062
809
u
2
+
70613
809
u +
6271
809
38
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
10
− 4u
9
+ ··· − 5u + 1
c
2
, c
10
u
10
− 4u
9
+ 6u
8
− 2u
7
− 2u
6
+ u
5
− u
4
+ 4u
3
− u
2
− 2u + 1
c
3
, c
11
u
10
+ 2u
8
+ 4u
6
− 3u
3
+ u
2
+ u + 1
c
4
u
10
+ 4u
9
+ ··· + 5u + 1
c
5
, c
9
u
10
− u
9
+ 5u
8
− 6u
7
+ 12u
6
− 13u
5
+ 15u
4
− 12u
3
+ 9u
2
− 4u + 1
c
6
u
10
+ 6u
9
+ 18u
8
+ 32u
7
+ 36u
6
+ 23u
5
+ 4u
4
− 7u
3
− 5u
2
+ 1
c
7
u
10
+ 2u
9
+ 9u
8
+ 19u
7
+ 35u
6
+ 35u
5
+ 33u
4
+ 25u
3
+ 14u
2
+ 5u + 1
c
8
, c
12
u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1
39
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
10
+ 14y
9
+ ··· + 15y + 1
c
2
, c
10
y
10
− 4y
9
+ 16y
8
− 22y
7
+ 26y
6
− 7y
5
+ y
4
− 14y
3
+ 15y
2
− 6y + 1
c
3
, c
11
y
10
+ 4y
9
+ 12y
8
+ 16y
7
+ 18y
6
+ 6y
5
+ 12y
4
− y
3
+ 7y
2
+ y + 1
c
5
, c
8
, c
9
c
12
y
10
+ 9y
9
+ ··· + 2y + 1
c
6
y
10
+ 12y
8
+ 4y
7
+ 42y
6
+ 29y
5
+ 14y
4
− 17y
3
+ 33y
2
− 10y + 1
c
7
y
10
+ 14y
9
+ ··· + 3y + 1
40
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = −0.881563 + 0.242194I
a = −0.639098 + 1.229980I
b = 0.265511 − 1.239090I
2.50173 + 4.70796I −4.88520 − 6.47804I
u = −0.881563 − 0.242194I
a = −0.639098 − 1.229980I
b = 0.265511 + 1.239090I
2.50173 − 4.70796I −4.88520 + 6.47804I
u = −0.597194 + 0.968230I
a = 0.057413 − 0.457961I
b = 0.409125 + 0.329081I
−0.60938 + 1.82644I −3.43057 + 7.18365I
u = −0.597194 − 0.968230I
a = 0.057413 + 0.457961I
b = 0.409125 − 0.329081I
−0.60938 − 1.82644I −3.43057 − 7.18365I
u = −0.097146 + 1.168430I
a = 1.247360 + 0.312850I
b = −0.48672 + 1.42706I
5.16077 − 2.93340I −3.38341 + 2.82161I
u = −0.097146 − 1.168430I
a = 1.247360 − 0.312850I
b = −0.48672 − 1.42706I
5.16077 + 2.93340I −3.38341 − 2.82161I
u = −0.097784 + 0.323157I
a = 1.36244 − 2.17354I
b = 0.569171 + 0.652818I
−0.80863 − 2.83685I −10.7966 + 10.9454I
u = −0.097784 − 0.323157I
a = 1.36244 + 2.17354I
b = 0.569171 − 0.652818I
−0.80863 + 2.83685I −10.7966 − 10.9454I
u = −0.32631 + 2.40697I
a = 0.471885 + 0.042836I
b = −0.257088 + 1.121830I
5.27004 + 6.36836I 8.9958 − 13.8831I
u = −0.32631 − 2.40697I
a = 0.471885 − 0.042836I
b = −0.257088 − 1.121830I
5.27004 − 6.36836I 8.9958 + 13.8831I
41
IX. I
u
9
= h−3.24 × 10
22
u
35
+ 2.81 × 10
23
u
34
+ · · · + 6.81 × 10
22
b + 8.33 ×
10
23
, −2.58 × 10
25
au
35
− 1.05 × 10
25
u
35
+ · · · + 6.94 × 10
26
a − 5.64 ×
10
26
, u
36
− 9u
35
+ · · · − 134u + 31i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
−u
2
a
2
=
−u
u
3
+ u
a
9
=
a
0.475677u
35
− 4.12948u
34
+ ··· + 42.2812u − 12.2372
a
8
=
0.475677u
35
− 4.12948u
34
+ ··· + a − 12.2372
0.475677u
35
− 4.12948u
34
+ ··· + 42.2812u − 12.2372
a
6
=
−0.151617au
35
+ 0.498043u
35
+ ··· + 14.7460a − 17.5783
−0.151617au
35
+ 0.806545u
35
+ ··· + 14.7460a − 23.5346
a
3
=
0.354142au
35
− 0.677346u
35
+ ··· − 6.88488a + 13.9750
0.489571au
35
− 0.767633u
35
+ ··· − 13.0622a + 9.37834
a
12
=
0.475677au
35
+ 0.308502u
35
+ ··· − 12.2372a − 4.95634
0.0406691u
35
+ 0.0425253u
34
+ ··· − 35.3829u + 9.56356
a
10
=
0.806545au
35
+ 0.583900u
35
+ ··· − 22.5346a − 24.2932
0.408547au
35
+ 0.475677u
35
+ ··· − 1.26074a − 12.2372
a
7
=
0.322848au
35
+ 0.941520u
35
+ ··· + 1.15116a − 16.9806
0.0962917au
35
+ 0.878224u
35
+ ··· + 11.4909a − 11.4158
a
11
=
0.373215au
35
+ 0.129850u
35
+ ··· − 10.5367a − 1.10131
0.219269au
35
− 0.129947u
35
+ ··· − 7.89684a + 6.80772
(ii) Obstruction class = −1
(iii) Cusp Shapes =
11874099611969195491133
17014622974963246725317
u
35
−
124369176089141958482851
17014622974963246725317
u
34
+ ··· +
3025618725925398492327188
17014622974963246725317
u −
1050035900405343007856140
17014622974963246725317
42
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
(u
36
+ 9u
35
+ ··· + 134u + 31)
2
c
2
, c
6
, c
10
(u
36
− 7u
35
+ ··· + 2u + 1)
2
c
3
, c
7
, c
11
(u
36
− 5u
35
+ ··· − 14u + 1)
2
43
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
(y
36
+ 31y
35
+ ··· + 2256y + 961)
2
c
2
, c
6
, c
10
(y
36
− 13y
35
+ ··· − 36y + 1)
2
c
3
, c
7
, c
11
(y
36
+ 13y
35
+ ··· − 14y + 1)
2
44
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = −0.088533 + 0.900145I
a = 0.298364 + 0.523719I
b = 0.341527 + 1.309580I
1.75485 − 3.16618I −6.18735 + 4.12062I
u = −0.088533 + 0.900145I
a = 1.40395 − 0.51750I
b = −0.497838 + 0.222204I
1.75485 − 3.16618I −6.18735 + 4.12062I
u = −0.088533 − 0.900145I
a = 0.298364 − 0.523719I
b = 0.341527 − 1.309580I
1.75485 + 3.16618I −6.18735 − 4.12062I
u = −0.088533 − 0.900145I
a = 1.40395 + 0.51750I
b = −0.497838 − 0.222204I
1.75485 + 3.16618I −6.18735 − 4.12062I
u = 0.314501 + 1.057730I
a = −1.107320 − 0.086624I
b = 0.47176 + 2.11371I
4.73363 − 6.11028I −6.00000 + 6.55511I
u = 0.314501 + 1.057730I
a = 1.95788 + 0.13614I
b = −0.256628 − 1.198480I
4.73363 − 6.11028I −6.00000 + 6.55511I
u = 0.314501 − 1.057730I
a = −1.107320 + 0.086624I
b = 0.47176 − 2.11371I
4.73363 + 6.11028I −6.00000 − 6.55511I
u = 0.314501 − 1.057730I
a = 1.95788 − 0.13614I
b = −0.256628 + 1.198480I
4.73363 + 6.11028I −6.00000 − 6.55511I
u = 1.076970 + 0.342863I
a = 0.418655 + 1.015730I
b = 0.249553 − 1.297860I
2.81766 + 0.97687I −6.00000 + 0.I
u = 1.076970 + 0.342863I
a = −0.137957 − 1.161190I
b = 0.102623 + 1.237450I
2.81766 + 0.97687I −6.00000 + 0.I
45
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 1.076970 − 0.342863I
a = 0.418655 − 1.015730I
b = 0.249553 + 1.297860I
2.81766 − 0.97687I −6.00000 + 0.I
u = 1.076970 − 0.342863I
a = −0.137957 + 1.161190I
b = 0.102623 − 1.237450I
2.81766 − 0.97687I −6.00000 + 0.I
u = 0.626802 + 0.941753I
a = 0.330040 − 0.438210I
b = −0.382743 + 0.481017I
−1.19047 − 2.14866I −17.3275 + 1.3570I
u = 0.626802 + 0.941753I
a = 0.166509 + 0.517239I
b = 0.619556 + 0.036145I
−1.19047 − 2.14866I −17.3275 + 1.3570I
u = 0.626802 − 0.941753I
a = 0.330040 + 0.438210I
b = −0.382743 − 0.481017I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = 0.626802 − 0.941753I
a = 0.166509 − 0.517239I
b = 0.619556 − 0.036145I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = 0.694616 + 0.485356I
a = −1.13676 − 0.92514I
b = 0.06377 + 1.54349I
4.12212 − 6.33849I −2.44165 + 8.25559I
u = 0.694616 + 0.485356I
a = 1.10497 + 1.45000I
b = −0.340591 − 1.194350I
4.12212 − 6.33849I −2.44165 + 8.25559I
u = 0.694616 − 0.485356I
a = −1.13676 + 0.92514I
b = 0.06377 − 1.54349I
4.12212 + 6.33849I −2.44165 − 8.25559I
u = 0.694616 − 0.485356I
a = 1.10497 − 1.45000I
b = −0.340591 + 1.194350I
4.12212 + 6.33849I −2.44165 − 8.25559I
46
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = −0.205135 + 1.135620I
a = −1.093030 − 0.063018I
b = 1.41401 − 0.50386I
0.92169 + 4.68398I −10.34050 − 6.77168I
u = −0.205135 + 1.135620I
a = −0.647478 − 1.128190I
b = 0.295783 − 1.228330I
0.92169 + 4.68398I −10.34050 − 6.77168I
u = −0.205135 − 1.135620I
a = −1.093030 + 0.063018I
b = 1.41401 + 0.50386I
0.92169 − 4.68398I −10.34050 + 6.77168I
u = −0.205135 − 1.135620I
a = −0.647478 + 1.128190I
b = 0.295783 + 1.228330I
0.92169 − 4.68398I −10.34050 + 6.77168I
u = −0.256628 + 1.198480I
a = −0.897591 − 0.070217I
b = 0.47176 − 2.11371I
4.73363 + 6.11028I −6.00000 − 6.55511I
u = −0.256628 + 1.198480I
a = −1.76693 − 0.01528I
b = 0.314501 − 1.057730I
4.73363 + 6.11028I −6.00000 − 6.55511I
u = −0.256628 − 1.198480I
a = −0.897591 + 0.070217I
b = 0.47176 + 2.11371I
4.73363 − 6.11028I −6.00000 + 6.55511I
u = −0.256628 − 1.198480I
a = −1.76693 + 0.01528I
b = 0.314501 + 1.057730I
4.73363 − 6.11028I −6.00000 + 6.55511I
u = 0.102623 + 1.237450I
a = −1.025050 − 0.286675I
b = 1.076970 + 0.342863I
2.81766 + 0.97687I −6.00000 + 0.I
u = 0.102623 + 1.237450I
a = 0.346863 − 0.841548I
b = 0.249553 − 1.297860I
2.81766 + 0.97687I −6.00000 + 0.I
47
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.102623 − 1.237450I
a = −1.025050 + 0.286675I
b = 1.076970 − 0.342863I
2.81766 − 0.97687I −6.00000 + 0.I
u = 0.102623 − 1.237450I
a = 0.346863 + 0.841548I
b = 0.249553 + 1.297860I
2.81766 − 0.97687I −6.00000 + 0.I
u = −0.340591 + 1.194350I
a = −1.209220 + 0.291442I
b = 0.694616 − 0.485356I
4.12212 + 6.33849I 0. − 8.25559I
u = −0.340591 + 1.194350I
a = −0.529193 − 0.430677I
b = 0.06377 − 1.54349I
4.12212 + 6.33849I 0. − 8.25559I
u = −0.340591 − 1.194350I
a = −1.209220 − 0.291442I
b = 0.694616 + 0.485356I
4.12212 − 6.33849I 0. + 8.25559I
u = −0.340591 − 1.194350I
a = −0.529193 + 0.430677I
b = 0.06377 + 1.54349I
4.12212 − 6.33849I 0. + 8.25559I
u = 0.295783 + 1.228330I
a = −0.911860 − 0.052573I
b = 1.41401 + 0.50386I
0.92169 − 4.68398I 0
u = 0.295783 + 1.228330I
a = 0.649721 − 0.994711I
b = −0.205135 − 1.135620I
0.92169 − 4.68398I 0
u = 0.295783 − 1.228330I
a = −0.911860 + 0.052573I
b = 1.41401 − 0.50386I
0.92169 + 4.68398I 0
u = 0.295783 − 1.228330I
a = 0.649721 + 0.994711I
b = −0.205135 + 1.135620I
0.92169 + 4.68398I 0
48
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.249553 + 1.297860I
a = −0.904797 − 0.253045I
b = 1.076970 − 0.342863I
2.81766 − 0.97687I 0
u = 0.249553 + 1.297860I
a = −0.100891 − 0.849201I
b = 0.102623 − 1.237450I
2.81766 − 0.97687I 0
u = 0.249553 − 1.297860I
a = −0.904797 + 0.253045I
b = 1.076970 + 0.342863I
2.81766 + 0.97687I 0
u = 0.249553 − 1.297860I
a = −0.100891 + 0.849201I
b = 0.102623 + 1.237450I
2.81766 + 0.97687I 0
u = 0.341527 + 1.309580I
a = 0.627077 + 0.231141I
b = −0.497838 + 0.222204I
1.75485 − 3.16618I 0
u = 0.341527 + 1.309580I
a = 0.066044 + 0.397377I
b = −0.088533 + 0.900145I
1.75485 − 3.16618I 0
u = 0.341527 − 1.309580I
a = 0.627077 − 0.231141I
b = −0.497838 − 0.222204I
1.75485 + 3.16618I 0
u = 0.341527 − 1.309580I
a = 0.066044 − 0.397377I
b = −0.088533 − 0.900145I
1.75485 + 3.16618I 0
u = 0.619556 + 0.036145I
a = −0.570534 + 0.809675I
b = 0.626802 + 0.941753I
−1.19047 − 2.14866I −17.3275 + 1.3570I
u = 0.619556 + 0.036145I
a = 1.09664 + 1.45607I
b = −0.382743 + 0.481017I
−1.19047 − 2.14866I −17.3275 + 1.3570I
49
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.619556 − 0.036145I
a = −0.570534 − 0.809675I
b = 0.626802 − 0.941753I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = 0.619556 − 0.036145I
a = 1.09664 − 1.45607I
b = −0.382743 − 0.481017I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = −0.382743 + 0.481017I
a = −0.581535 − 0.825287I
b = 0.626802 + 0.941753I
−1.19047 − 2.14866I −17.3275 + 1.3570I
u = −0.382743 + 0.481017I
a = 0.56394 − 1.75180I
b = 0.619556 + 0.036145I
−1.19047 − 2.14866I −17.3275 + 1.3570I
u = −0.382743 − 0.481017I
a = −0.581535 + 0.825287I
b = 0.626802 − 0.941753I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = −0.382743 − 0.481017I
a = 0.56394 + 1.75180I
b = 0.619556 − 0.036145I
−1.19047 + 2.14866I −17.3275 − 1.3570I
u = −0.497838 + 0.222204I
a = 0.82125 − 1.44155I
b = 0.341527 + 1.309580I
1.75485 − 3.16618I −6.18735 + 4.12062I
u = −0.497838 + 0.222204I
a = 0.40700 − 2.44886I
b = −0.088533 + 0.900145I
1.75485 − 3.16618I −6.18735 + 4.12062I
u = −0.497838 − 0.222204I
a = 0.82125 + 1.44155I
b = 0.341527 − 1.309580I
1.75485 + 3.16618I −6.18735 − 4.12062I
u = −0.497838 − 0.222204I
a = 0.40700 + 2.44886I
b = −0.088533 − 0.900145I
1.75485 + 3.16618I −6.18735 − 4.12062I
50
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41401 + 0.50386I
a = 0.460277 + 0.704675I
b = −0.205135 − 1.135620I
0.92169 − 4.68398I 0
u = 1.41401 + 0.50386I
a = −0.382661 − 0.666763I
b = 0.295783 + 1.228330I
0.92169 − 4.68398I 0
u = 1.41401 − 0.50386I
a = 0.460277 − 0.704675I
b = −0.205135 + 1.135620I
0.92169 + 4.68398I 0
u = 1.41401 − 0.50386I
a = −0.382661 + 0.666763I
b = 0.295783 − 1.228330I
0.92169 + 4.68398I 0
u = 0.06377 + 1.54349I
a = −0.781577 + 0.188373I
b = 0.694616 + 0.485356I
4.12212 − 6.33849I 0
u = 0.06377 + 1.54349I
a = 0.332477 − 0.436293I
b = −0.340591 − 1.194350I
4.12212 − 6.33849I 0
u = 0.06377 − 1.54349I
a = −0.781577 − 0.188373I
b = 0.694616 − 0.485356I
4.12212 + 6.33849I 0
u = 0.06377 − 1.54349I
a = 0.332477 + 0.436293I
b = −0.340591 + 1.194350I
4.12212 + 6.33849I 0
u = 0.47176 + 2.11371I
a = −0.565911 − 0.004894I
b = 0.314501 + 1.057730I
4.73363 − 6.11028I 0
u = 0.47176 + 2.11371I
a = 0.508300 − 0.035344I
b = −0.256628 − 1.198480I
4.73363 − 6.11028I 0
51
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.47176 − 2.11371I
a = −0.565911 + 0.004894I
b = 0.314501 − 1.057730I
4.73363 + 6.11028I 0
u = 0.47176 − 2.11371I
a = 0.508300 + 0.035344I
b = −0.256628 + 1.198480I
4.73363 + 6.11028I 0
52
X. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
(u
10
− 4u
9
+ ··· − 5u + 1)
· (u
10
− 2u
9
+ 6u
8
− 6u
7
+ 9u
6
− 5u
5
+ 6u
4
− 3u
3
+ 3u
2
− u + 1)
· (u
10
− u
9
+ 5u
8
− 6u
7
+ 12u
6
− 13u
5
+ 15u
4
− 12u
3
+ 9u
2
− 4u + 1)
2
· (u
11
− 3u
10
+ ··· + 2u + 1)(u
26
− 16u
25
+ ··· − 4800u + 512)
· ((u
26
+ 4u
25
+ ··· + 8u + 1)
2
)(u
36
+ 9u
35
+ ··· + 134u + 31)
2
c
2
, c
6
, c
10
(u
10
− 4u
9
+ 6u
8
− 2u
7
− 2u
6
+ u
5
− u
4
+ 4u
3
− u
2
− 2u + 1)
2
· (u
10
+ 4u
9
+ 7u
8
+ 5u
7
− u
5
+ 2u
4
+ 2u
3
+ 1)
· (u
10
+ 6u
9
+ 18u
8
+ 32u
7
+ 36u
6
+ 23u
5
+ 4u
4
− 7u
3
− 5u
2
+ 1)
· (u
11
+ 5u
10
+ 13u
9
+ 20u
8
+ 21u
7
+ 15u
6
+ 9u
5
+ 4u
4
+ 2u
3
+ u + 1)
· ((u
26
− 5u
25
+ ··· − 4u + 1)
2
)(u
26
+ 22u
25
+ ··· + 152u + 32)
· (u
36
− 7u
35
+ ··· + 2u + 1)
2
c
3
, c
7
, c
11
(u
10
+ 2u
8
+ 4u
6
− 3u
3
+ u
2
+ u + 1)
2
· (u
10
+ 2u
9
+ 3u
8
+ 2u
7
+ 4u
6
+ 6u
5
+ 7u
4
+ 7u
3
+ 6u
2
+ 2u + 1)
· (u
10
+ 2u
9
+ 9u
8
+ 19u
7
+ 35u
6
+ 35u
5
+ 33u
4
+ 25u
3
+ 14u
2
+ 5u + 1)
· (u
11
+ 6u
10
+ ··· + 13u + 2)(u
26
− 4u
25
+ ··· − 7u + 1)
2
· (u
26
+ 27u
25
+ ··· + 65536u + 4096)(u
36
− 5u
35
+ ··· − 14u + 1)
2
c
4
, c
8
, c
12
(u
10
+ u
9
+ 5u
8
+ 6u
7
+ 12u
6
+ 13u
5
+ 15u
4
+ 12u
3
+ 9u
2
+ 4u + 1)
2
· (u
10
+ 2u
9
+ 6u
8
+ 6u
7
+ 9u
6
+ 5u
5
+ 6u
4
+ 3u
3
+ 3u
2
+ u + 1)
· (u
10
+ 4u
9
+ ··· + 5u + 1)(u
11
− 3u
10
+ ··· + 2u + 1)
· (u
26
− 16u
25
+ ··· − 4800u + 512)(u
26
+ 4u
25
+ ··· + 8u + 1)
2
· (u
36
+ 9u
35
+ ··· + 134u + 31)
2
53
XI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
5
c
8
, c
9
, c
12
(y
10
+ 8y
9
+ ··· + 5y + 1)(y
10
+ 9y
9
+ ··· + 2y + 1)
2
· (y
10
+ 14y
9
+ ··· + 15y + 1)(y
11
+ 11y
10
+ ··· + 8y − 1)
· (y
26
+ 14y
25
+ ··· + 1110016y + 262144)
· ((y
26
+ 26y
25
+ ··· − 26y + 1)
2
)(y
36
+ 31y
35
+ ··· + 2256y + 961)
2
c
2
, c
6
, c
10
(y
10
+ 12y
8
+ 4y
7
+ 42y
6
+ 29y
5
+ 14y
4
− 17y
3
+ 33y
2
− 10y + 1)
· (y
10
− 4y
9
+ 16y
8
− 22y
7
+ 26y
6
− 7y
5
+ y
4
− 14y
3
+ 15y
2
− 6y + 1)
2
· (y
10
− 2y
9
+ 9y
8
− 13y
7
+ 22y
6
− 19y
5
+ 22y
4
− 4y
3
+ 4y
2
+ 1)
· (y
11
+ y
10
+ ··· + y − 1)(y
26
− 4y
25
+ ··· − 11584y + 1024)
· ((y
26
+ 5y
25
+ ··· − 6y + 1)
2
)(y
36
− 13y
35
+ ··· − 36y + 1)
2
c
3
, c
7
, c
11
(y
10
+ 2y
9
+ 9y
8
+ 10y
7
+ 18y
6
+ 22y
5
+ 11y
4
+ 19y
3
+ 22y
2
+ 8y + 1)
· (y
10
+ 4y
9
+ 12y
8
+ 16y
7
+ 18y
6
+ 6y
5
+ 12y
4
− y
3
+ 7y
2
+ y + 1)
2
· (y
10
+ 14y
9
+ ··· + 3y + 1)(y
11
+ 2y
10
+ ··· + 73y − 4)
· (y
26
+ 7y
25
+ ··· + 645922816y + 16777216)
· ((y
26
+ 8y
25
+ ··· + y + 1)
2
)(y
36
+ 13y
35
+ ··· − 14y + 1)
2
54
