12a
0793
(K12a
0793
)
A knot diagram
1
Linearized knot diagam
3 8 11 12 1 4 9 2 5 6 7 10
Solving Sequence
4,6 7,11
12 5 3 10 1 9 8 2
c
6
c
11
c
4
c
3
c
10
c
12
c
9
c
7
c
2
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h438u
26
− 7373u
25
+ ··· + b − 5644, −57808u
26
+ 1046188u
25
+ ··· + 161a + 5545308,
u
27
− 19u
26
+ ··· − 2467u + 161i
I
u
2
= h10u
19
− 138u
18
+ ··· + b + 3377, −19597u
19
+ 310175u
18
+ ··· + 547a + 6609401,
u
20
− 17u
19
+ ··· − 5470u + 547i
I
u
3
= h−2.10186 × 10
16
a
17
u − 3.95962 × 10
16
a
16
u + ··· − 8.49848 × 10
16
a + 1.61926 × 10
17
,
a
17
u + 6a
16
u + ··· − 4a − 1, u
2
+ u + 1i
I
u
4
= h−1.67412 × 10
56
a
17
u
3
+ 5.44170 × 10
55
a
16
u
3
+ ··· − 7.19011 × 10
55
a + 1.87024 × 10
54
,
4a
17
u
3
− 7a
16
u
3
+ ··· + 13417a + 5031, u
4
+ u
3
− 2u + 1i
I
u
5
= h−6.08618 × 10
26
u
37
− 1.06034 × 10
28
u
36
+ ··· + 4.67445 × 10
25
b − 8.22006 × 10
26
,
2.32508 × 10
27
u
37
+ 4.03483 × 10
28
u
36
+ ··· + 4.67445 × 10
25
a + 3.83085 × 10
27
, u
38
+ 18u
37
+ ··· − 8u
2
+ 1i
I
u
6
= h161661572437a
17
+ 109385111613b + ··· + 483678202596a + 63623157951,
a
18
− a
17
+ ··· + 2a + 1, u + 1i
I
u
7
= hb + u, a − u, u
2
+ u + 1i
I
v
1
= ha, b
9
+ b
8
− 2b
7
− 3b
6
+ b
5
+ 3b
4
+ 2b
3
− b − 1, v −1i
* 8 irreducible components of dim
C
= 0, with total 222 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
1
I. I
u
1
= h438u
26
− 7373u
25
+ · · · + b − 5644, −5.78 × 10
4
u
26
+ 1.05 ×
10
6
u
25
+ · · · + 161a + 5.55 × 10
6
, u
27
− 19u
26
+ · · · − 2467u + 161i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
11
=
359.056u
26
− 6498.06u
25
+ ··· + 518090.u − 34442.9
−438u
26
+ 7373u
25
+ ··· − 109848u + 5644
a
12
=
35.0559u
26
− 228.062u
25
+ ··· − 333258.u + 23365.1
625u
26
− 10590u
25
+ ··· + 223554u − 12710
a
5
=
0.503106u
26
− 8.55901u
25
+ ··· + 85.1429u − 7.16149
u
26
− 18u
25
+ ··· + 1234u − 80
a
3
=
−0.496894u
26
+ 8.44099u
25
+ ··· + 4.14286u − 8.16149
u
25
− 17u
24
+ ··· − 1152u + 81
a
10
=
−78.9441u
26
+ 874.938u
25
+ ··· + 408242.u − 28798.9
−438u
26
+ 7373u
25
+ ··· − 109848u + 5644
a
1
=
−589.944u
26
+ 10361.9u
25
+ ··· − 556812.u + 36075.1
−324u
26
+ 6270u
25
+ ··· − 851348u + 57808
a
9
=
−217.472u
26
+ 4474.97u
25
+ ··· − 831411.u + 56923.5
854u
26
− 14673u
25
+ ··· + 485474u − 29861
a
8
=
3.87578u
26
− 105.640u
25
+ ··· + 43768.3u − 3039.54
−42u
26
+ 713u
25
+ ··· − 9810u + 463
a
2
=
190.292u
26
− 4012.55u
25
+ ··· + 828459.u − 56867.2
−847u
26
+ 14620u
25
+ ··· − 547319u + 34179
(ii) Obstruction class = −1
(iii) Cusp Shapes = 572u
26
− 10814u
25
+ ··· + 1256842u − 84866
in decimal forms when there is not enough margin.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
27
+ 10u
26
+ ··· + 208u − 64
c
2
, c
8
u
27
+ 6u
26
+ ··· + 20u + 8
c
3
, c
5
, c
9
c
11
u
27
− u
26
+ ··· − u + 1
c
4
, c
10
u
27
+ 2u
26
+ ··· − u − 4
c
6
, c
12
u
27
− 19u
26
+ ··· − 2467u + 161
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
27
+ 14y
26
+ ··· + 92416y −4096
c
2
, c
8
y
27
+ 10y
26
+ ··· + 208y −64
c
3
, c
5
, c
9
c
11
y
27
− 11y
26
+ ··· + 35y −1
c
4
, c
10
y
27
− 16y
26
+ ··· + 353y −16
c
6
, c
12
y
27
− 19y
26
+ ··· + 1457339y −25921
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.336537 + 0.836798I
a = 0.736010 − 0.616080I
b = −0.848254 + 0.367605I
2.86929 + 7.34613I 2.90775 − 7.28964I
u = 0.336537 − 0.836798I
a = 0.736010 + 0.616080I
b = −0.848254 − 0.367605I
2.86929 − 7.34613I 2.90775 + 7.28964I
u = −1.10919
a = −0.386233
b = −0.903587
−2.13154 0
u = 0.370735 + 0.693916I
a = −0.865324 + 0.727255I
b = 0.749010 − 0.364611I
3.95268 + 1.67314I 5.49448 − 1.76320I
u = 0.370735 − 0.693916I
a = −0.865324 − 0.727255I
b = 0.749010 + 0.364611I
3.95268 − 1.67314I 5.49448 + 1.76320I
u = −0.268476 + 0.625946I
a = −0.083820 − 0.885103I
b = −0.847216 + 0.126003I
−1.73737 + 1.71478I −1.17961 − 4.95117I
u = −0.268476 − 0.625946I
a = −0.083820 + 0.885103I
b = −0.847216 − 0.126003I
−1.73737 − 1.71478I −1.17961 + 4.95117I
u = 1.24557 + 0.71757I
a = −0.595551 + 0.624978I
b = −0.544229 − 0.767881I
6.27419 − 3.10868I 0
u = 1.24557 − 0.71757I
a = −0.595551 − 0.624978I
b = −0.544229 + 0.767881I
6.27419 + 3.10868I 0
u = 1.46415
a = −0.619509
b = −0.421012
0.177089 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.24952 + 0.79090I
a = 0.525687 − 0.707434I
b = 0.673803 + 0.845192I
6.16267 − 9.49500I 0
u = 1.24952 − 0.79090I
a = 0.525687 + 0.707434I
b = 0.673803 − 0.845192I
6.16267 + 9.49500I 0
u = −1.47651 + 0.36572I
a = 0.227999 + 0.088281I
b = 0.930830 − 0.018614I
−5.14690 + 3.89427I 0
u = −1.47651 − 0.36572I
a = 0.227999 − 0.088281I
b = 0.930830 + 0.018614I
−5.14690 − 3.89427I 0
u = 1.16750 + 1.01896I
a = −0.058356 + 1.102740I
b = −1.45088 − 1.00868I
0.3619 − 21.2108I 0
u = 1.16750 − 1.01896I
a = −0.058356 − 1.102740I
b = −1.45088 + 1.00868I
0.3619 + 21.2108I 0
u = 1.17572 + 1.01054I
a = 0.096238 − 1.077870I
b = 1.39364 + 1.00946I
1.5557 − 15.1733I 0
u = 1.17572 − 1.01054I
a = 0.096238 + 1.077870I
b = 1.39364 − 1.00946I
1.5557 + 15.1733I 0
u = 1.20645 + 1.03913I
a = −0.029811 + 0.956551I
b = −1.37963 − 0.83840I
−5.7698 − 14.5930I 0
u = 1.20645 − 1.03913I
a = −0.029811 − 0.956551I
b = −1.37963 + 0.83840I
−5.7698 + 14.5930I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.24077 + 1.00164I
a = 0.145799 − 0.888216I
b = 1.21535 + 0.84214I
−1.11103 − 11.43690I 0
u = 1.24077 − 1.00164I
a = 0.145799 + 0.888216I
b = 1.21535 − 0.84214I
−1.11103 + 11.43690I 0
u = 1.29979 + 1.03028I
a = −0.105556 + 0.759404I
b = −1.180600 − 0.684143I
−4.06736 − 6.77038I 0
u = 1.29979 − 1.03028I
a = −0.105556 − 0.759404I
b = −1.180600 + 0.684143I
−4.06736 + 6.77038I 0
u = 1.70957 + 0.33451I
a = 0.443467 − 0.165713I
b = 0.622434 + 0.176394I
−3.79012 − 4.61907I 0
u = 1.70957 − 0.33451I
a = 0.443467 + 0.165713I
b = 0.622434 − 0.176394I
−3.79012 + 4.61907I 0
u = 0.130692
a = −5.77466
b = 0.656068
1.20181 8.52320
7
II. I
u
2
= h10u
19
− 138u
18
+ · · · + b + 3377, −1.96 × 10
4
u
19
+ 3.10 × 10
5
u
18
+
· · · + 547a + 6.61 × 10
6
, u
20
− 17u
19
+ · · · − 5470u + 547i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
11
=
35.8263u
19
− 567.048u
18
+ ··· + 116532.u − 12083
−10u
19
+ 138u
18
+ ··· + 26256u − 3377
a
12
=
−6.17367u
19
+ 114.952u
18
+ ··· − 67354.8u + 7514
−10u
19
+ 189u
18
+ ··· − 125810u + 14127
a
5
=
−0.500914u
19
+ 7.51554u
18
+ ··· − 161.757u + 5
−u
19
+ 16u
18
+ ··· − 2734u + 273
a
3
=
1.49909u
19
− 23.4845u
18
+ ··· + 5036.24u − 541
−u
18
+ 15u
17
+ ··· + 2462u − 274
a
10
=
25.8263u
19
− 429.048u
18
+ ··· + 142788.u − 15460
−10u
19
+ 138u
18
+ ··· + 26256u − 3377
a
1
=
58.8263u
19
− 915.048u
18
+ ··· + 140957.u − 13914
22u
19
− 355u
18
+ ··· + 84333u − 8847
a
9
=
34.2395u
19
− 584.071u
18
+ ··· + 235307.u − 25699
−19u
19
+ 272u
18
+ ··· + 34877u − 4792
a
8
=
0.372943u
19
+ 3.65996u
18
+ ··· − 26140.2u + 2952
8u
19
− 122u
18
+ ··· + 5813u − 343
a
2
=
−33.5539u
19
+ 582.417u
18
+ ··· − 260246.u + 28513
28u
19
− 421u
18
+ ··· + 12884u − 303
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −74u
19
+ 1205u
18
− 10121u
17
+ 57171u
16
− 241507u
15
+ 807130u
14
− 2208198u
13
+
5054483u
12
− 9813175u
11
+ 16283515u
10
− 23153095u
9
+ 28154252u
8
− 29094801u
7
+
25274749u
6
− 18155481u
5
+ 10525995u
4
− 4748224u
3
+ 1569915u
2
− 340234u + 36612
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
10
+ 3u
9
+ ··· + 4u + 16)
2
c
2
, c
8
(u
10
+ 3u
9
+ 6u
8
+ 7u
7
+ 7u
6
+ 4u
5
+ 2u
4
+ u
3
+ 5u
2
+ 6u + 4)
2
c
3
, c
5
, c
9
c
11
u
20
+ u
19
+ ··· + 4u + 1
c
4
, c
10
(u
10
− u
9
+ 2u
8
− 2u
7
+ 3u
6
− 2u
5
+ 4u
4
− 3u
3
+ 2u
2
− u + 1)
2
c
6
, c
12
u
20
− 17u
19
+ ··· − 5470u + 547
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
10
+ 7y
9
+ ··· + 912y + 256)
2
c
2
, c
8
(y
10
+ 3y
9
+ ··· + 4y + 16)
2
c
3
, c
5
, c
9
c
11
y
20
− 3y
19
+ ··· − 6y + 1
c
4
, c
10
(y
10
+ 3y
9
+ 6y
8
+ 12y
7
+ 15y
6
+ 16y
5
+ 16y
4
+ 9y
3
+ 6y
2
+ 3y + 1)
2
c
6
, c
12
y
20
+ 9y
19
+ ··· − 291004y + 299209
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.677518 + 0.918459I
a = −0.283415 + 1.066980I
b = −0.046924 − 1.225610I
8.01878 − 3.00602I 7.09865 + 2.87547I
u = 0.677518 − 0.918459I
a = −0.283415 − 1.066980I
b = −0.046924 + 1.225610I
8.01878 + 3.00602I 7.09865 − 2.87547I
u = 0.659672 + 0.969287I
a = 0.299146 − 0.973357I
b = −0.046924 + 1.225610I
8.01878 + 3.00602I 7.09865 − 2.87547I
u = 0.659672 − 0.969287I
a = 0.299146 + 0.973357I
b = −0.046924 − 1.225610I
8.01878 − 3.00602I 7.09865 + 2.87547I
u = 0.701824 + 0.417724I
a = −0.12548 + 1.75109I
b = −0.247103 − 0.693158I
1.22482 − 2.54559I 8.96438 − 3.81169I
u = 0.701824 − 0.417724I
a = −0.12548 − 1.75109I
b = −0.247103 + 0.693158I
1.22482 + 2.54559I 8.96438 + 3.81169I
u = 0.997260 + 0.676475I
a = −0.259742 + 1.345110I
b = −0.785372 − 0.793969I
2.56812 − 6.71853I 0. + 9.04516I
u = 0.997260 − 0.676475I
a = −0.259742 − 1.345110I
b = −0.785372 + 0.793969I
2.56812 + 6.71853I 0. − 9.04516I
u = 1.112530 + 0.520031I
a = 0.473491 − 1.197620I
b = 0.694203 + 0.475585I
−4.79509 − 5.43520I −14.2284 + 21.7220I
u = 1.112530 − 0.520031I
a = 0.473491 + 1.197620I
b = 0.694203 − 0.475585I
−4.79509 + 5.43520I −14.2284 − 21.7220I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.030430 + 0.704082I
a = 0.220528 − 1.322220I
b = 0.885197 + 0.778729I
1.20804 − 12.75960I 0. + 12.39712I
u = 1.030430 − 0.704082I
a = 0.220528 + 1.322220I
b = 0.885197 − 0.778729I
1.20804 + 12.75960I 0. − 12.39712I
u = −0.13202 + 1.58588I
a = −0.083726 − 0.222070I
b = −0.247103 + 0.693158I
1.22482 + 2.54559I 0
u = −0.13202 − 1.58588I
a = −0.083726 + 0.222070I
b = −0.247103 − 0.693158I
1.22482 − 2.54559I 0
u = 1.06126 + 1.41764I
a = −0.468889 + 0.016745I
b = 0.885197 − 0.778729I
1.20804 + 12.75960I 0
u = 1.06126 − 1.41764I
a = −0.468889 − 0.016745I
b = 0.885197 + 0.778729I
1.20804 − 12.75960I 0
u = 0.99401 + 1.47823I
a = 0.415405 − 0.085464I
b = −0.785372 + 0.793969I
2.56812 + 6.71853I 0
u = 0.99401 − 1.47823I
a = 0.415405 + 0.085464I
b = −0.785372 − 0.793969I
2.56812 − 6.71853I 0
u = 1.39751 + 1.83694I
a = −0.187318 − 0.050399I
b = 0.694203 − 0.475585I
−4.79509 + 5.43520I 0
u = 1.39751 − 1.83694I
a = −0.187318 + 0.050399I
b = 0.694203 + 0.475585I
−4.79509 − 5.43520I 0
12
III. I
u
3
= h−2.10 × 10
16
a
17
u − 3.96 × 10
16
a
16
u + · · · − 8.50 × 10
16
a + 1.62 ×
10
17
, a
17
u + 6a
16
u + · · · − 4a − 1, u
2
+ u + 1i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
−u − 1
a
11
=
a
0.0959303a
17
u + 0.180720a
16
u + ··· + 0.387877a − 0.739044
a
12
=
0.0959303a
17
u + 0.180720a
16
u + ··· + 2.38788a − 0.739044
−0.461097a
17
u + 0.273775a
16
u + ··· + 5.32003a + 0.717805
a
5
=
−0.280377a
17
u + 0.0689210a
16
u + ··· + 1.68093a + 1.55703
−a
2
u − a
2
a
3
=
−a
2
u
−0.283253a
17
u + 0.0132106a
16
u + ··· + 0.179332a + 0.0959303
a
10
=
0.0959303a
17
u + 0.180720a
16
u + ··· + 1.38788a − 0.739044
0.0959303a
17
u + 0.180720a
16
u + ··· + 0.387877a − 0.739044
a
1
=
0.557028a
17
u − 0.0930548a
16
u + ··· − 2.93216a − 1.45685
−au
a
9
=
−a
3
u − a
3
− 2au − a
−0.128737a
17
u + 0.242628a
16
u + ··· + 1.98774a − 0.455792
a
8
=
0.0478671a
17
u − 0.111173a
16
u + ··· − 2.64693a + 0.379956
0.369293a
17
u + 0.00145360a
16
u + ··· − 3.00361a − 0.982614
a
2
=
0.372906a
17
u − 0.0550592a
16
u + ··· − 0.798659a − 1.02405
−0.616623a
17
u + 0.469416a
16
u + ··· + 0.749763a + 0.122688
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
670869991029847876
219102404420358169
a
17
u +
387999224026686928
219102404420358169
a
16
u + ··· +
7273155080522331304
219102404420358169
a +
1021136578232313598
219102404420358169
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
4
c
2
, c
8
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
4
c
3
, c
5
, c
9
c
11
u
36
+ u
35
+ ··· + 8u + 1
c
4
, c
10
u
36
+ 3u
35
+ ··· + 2544u + 889
c
6
, c
12
(u
2
+ u + 1)
18
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1)
4
c
2
, c
8
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1)
4
c
3
, c
5
, c
9
c
11
y
36
+ 3y
35
+ ··· + 24y + 1
c
4
, c
10
y
36
+ 23y
35
+ ··· − 6905768y + 790321
c
6
, c
12
(y
2
+ y + 1)
18
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.230058 − 0.974073I
b = 0.47792 + 2.18649I
4.37135 + 5.39594I 7.28409 − 7.62995I
u = −0.500000 + 0.866025I
a = −0.059643 + 0.996048I
b = 0.11516 − 1.92059I
−1.78344 + 6.15314I −0.51499 − 11.09103I
u = −0.500000 + 0.866025I
a = 0.134816 − 0.936195I
b = −0.963253 + 0.522002I
−1.78344 + 1.96639I −0.51499 − 2.76537I
u = −0.500000 + 0.866025I
a = 0.206770 + 1.051500I
b = −0.35966 − 2.31708I
3.59813 + 11.14470I 5.57680 − 12.84155I
u = −0.500000 + 0.866025I
a = 0.437408 − 0.992085I
b = −1.14872 + 1.23939I
0.61694 + 6.51418I 2.32792 − 9.84118I
u = −0.500000 + 0.866025I
a = −0.374860 + 1.040260I
b = 0.94469 − 1.53262I
0.61694 + 1.60535I 2.32792 − 4.01523I
u = −0.500000 + 0.866025I
a = −1.007240 + 0.499722I
b = 0.295924 − 0.252417I
0.61694 + 6.51418I 2.32792 − 9.84118I
u = −0.500000 + 0.866025I
a = 1.086170 − 0.792955I
b = −0.516345 + 0.300592I
0.61694 + 1.60535I 2.32792 − 4.01523I
u = −0.500000 + 0.866025I
a = 0.007976 − 0.628437I
b = 0.404990 + 1.343720I
1.19845 + 4.05977I 8.65235 − 6.92820I
u = −0.500000 + 0.866025I
a = −0.420943 + 1.343720I
b = 0.833909 − 0.628437I
1.19845 + 4.05977I 8.65235 − 6.92820I
16
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.31206 − 1.40188I
b = −0.707522 + 0.636684I
3.59813 − 3.02516I 5.57680 − 1.01485I
u = −0.500000 + 0.866025I
a = 0.16655 + 1.47381I
b = 0.759506 − 0.652955I
4.37135 + 2.72360I 7.28409 − 6.22645I
u = −0.500000 + 0.866025I
a = −0.414405 − 0.261400I
b = 1.34046 + 1.08226I
4.37135 + 2.72360I 7.28409 − 6.22645I
u = −0.500000 + 0.866025I
a = 0.464951 + 0.136300I
b = −1.48453 − 0.90150I
3.59813 − 3.02516I 5.57680 − 1.01485I
u = −0.500000 + 0.866025I
a = 0.88808 − 1.41024I
b = −0.832563 + 0.485697I
−1.78344 + 6.15314I −0.51499 − 11.09103I
u = −0.500000 + 0.866025I
a = −0.190333 + 0.011651I
b = −0.638104 − 0.425844I
−1.78344 + 1.96639I −0.51499 − 2.76537I
u = −0.500000 + 0.866025I
a = −0.69599 + 1.79493I
b = 0.943853 − 0.582518I
4.37135 + 5.39594I 7.28409 − 7.62995I
u = −0.500000 + 0.866025I
a = 0.81281 − 1.81670I
b = −0.965703 + 0.551117I
3.59813 + 11.14470I 5.57680 − 12.84155I
u = −0.500000 − 0.866025I
a = −0.230058 + 0.974073I
b = 0.47792 − 2.18649I
4.37135 − 5.39594I 7.28409 + 7.62995I
u = −0.500000 − 0.866025I
a = −0.059643 − 0.996048I
b = 0.11516 + 1.92059I
−1.78344 − 6.15314I −0.51499 + 11.09103I
17
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 − 0.866025I
a = 0.134816 + 0.936195I
b = −0.963253 − 0.522002I
−1.78344 − 1.96639I −0.51499 + 2.76537I
u = −0.500000 − 0.866025I
a = 0.206770 − 1.051500I
b = −0.35966 + 2.31708I
3.59813 − 11.14470I 5.57680 + 12.84155I
u = −0.500000 − 0.866025I
a = 0.437408 + 0.992085I
b = −1.14872 − 1.23939I
0.61694 − 6.51418I 2.32792 + 9.84118I
u = −0.500000 − 0.866025I
a = −0.374860 − 1.040260I
b = 0.94469 + 1.53262I
0.61694 − 1.60535I 2.32792 + 4.01523I
u = −0.500000 − 0.866025I
a = −1.007240 − 0.499722I
b = 0.295924 + 0.252417I
0.61694 − 6.51418I 2.32792 + 9.84118I
u = −0.500000 − 0.866025I
a = 1.086170 + 0.792955I
b = −0.516345 − 0.300592I
0.61694 − 1.60535I 2.32792 + 4.01523I
u = −0.500000 − 0.866025I
a = 0.007976 + 0.628437I
b = 0.404990 − 1.343720I
1.19845 − 4.05977I 8.65235 + 6.92820I
u = −0.500000 − 0.866025I
a = −0.420943 − 1.343720I
b = 0.833909 + 0.628437I
1.19845 − 4.05977I 8.65235 + 6.92820I
u = −0.500000 − 0.866025I
a = −0.31206 + 1.40188I
b = −0.707522 − 0.636684I
3.59813 + 3.02516I 5.57680 + 1.01485I
u = −0.500000 − 0.866025I
a = 0.16655 − 1.47381I
b = 0.759506 + 0.652955I
4.37135 − 2.72360I 7.28409 + 6.22645I
18
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 − 0.866025I
a = −0.414405 + 0.261400I
b = 1.34046 − 1.08226I
4.37135 − 2.72360I 7.28409 + 6.22645I
u = −0.500000 − 0.866025I
a = 0.464951 − 0.136300I
b = −1.48453 + 0.90150I
3.59813 + 3.02516I 5.57680 + 1.01485I
u = −0.500000 − 0.866025I
a = 0.88808 + 1.41024I
b = −0.832563 − 0.485697I
−1.78344 − 6.15314I −0.51499 + 11.09103I
u = −0.500000 − 0.866025I
a = −0.190333 − 0.011651I
b = −0.638104 + 0.425844I
−1.78344 − 1.96639I −0.51499 + 2.76537I
u = −0.500000 − 0.866025I
a = −0.69599 − 1.79493I
b = 0.943853 + 0.582518I
4.37135 − 5.39594I 7.28409 + 7.62995I
u = −0.500000 − 0.866025I
a = 0.81281 + 1.81670I
b = −0.965703 − 0.551117I
3.59813 − 11.14470I 5.57680 + 12.84155I
19
IV. I
u
4
= h−1.67 × 10
56
a
17
u
3
+ 5.44 × 10
55
a
16
u
3
+ · · · − 7.19 × 10
55
a + 1.87 ×
10
54
, 4a
17
u
3
− 7a
16
u
3
+ · · · + 13417a + 5031, u
4
+ u
3
− 2u + 1i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
11
=
a
108.572a
17
u
3
− 35.2913a
16
u
3
+ ··· + 46.6303a − 1.21292
a
12
=
108.572a
17
u
3
− 35.2913a
16
u
3
+ ··· + 47.6303a − 1.21292
−116.476a
17
u
3
+ 136.577a
16
u
3
+ ··· + 65.0602a − 3.00253
a
5
=
−149.864a
17
u
3
+ 37.5024a
16
u
3
+ ··· + 0.610464a + 0.105646
53.3271a
17
u
3
− 66.8936a
16
u
3
+ ··· − 2.37518a + 1.84859
a
3
=
−a
2
u
53.6884a
17
u
3
− 25.0434a
16
u
3
+ ··· + 3.53974a − 0.898780
a
10
=
108.572a
17
u
3
− 35.2913a
16
u
3
+ ··· + 47.6303a − 1.21292
108.572a
17
u
3
− 35.2913a
16
u
3
+ ··· + 46.6303a − 1.21292
a
1
=
156.954a
17
u
3
− 43.1785a
16
u
3
+ ··· − 4.08616a + 6.55747
−68.0949a
17
u
3
+ 128.690a
16
u
3
+ ··· + 12.3438a + 4.76786
a
9
=
159.024a
17
u
3
− 93.8678a
16
u
3
+ ··· − 0.0192247a − 7.05312
−525.923a
17
u
3
+ 386.245a
16
u
3
+ ··· − 18.6907a − 5.08371
a
8
=
−48.7768a
17
u
3
+ 18.2261a
16
u
3
+ ··· + 12.1965a + 1.36890
129.470a
17
u
3
− 40.7216a
16
u
3
+ ··· + 27.9965a + 0.657463
a
2
=
119.317a
17
u
3
− 37.5030a
16
u
3
+ ··· + 1.98299a + 6.41564
−523.653a
17
u
3
+ 331.649a
16
u
3
+ ··· + 15.7953a + 5.61306
(ii) Obstruction class = −1
(iii) Cusp Shapes = −628.806a
17
u
3
+ 906.462a
16
u
3
+ ··· + 9.62978a − 13.8693
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
8
c
2
, c
8
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
8
c
3
, c
5
, c
9
c
11
u
72
− u
71
+ ··· + 44u + 1
c
4
, c
10
(u
36
− u
35
+ ··· − 172u + 49)
2
c
6
, c
12
(u
4
+ u
3
− 2u + 1)
18
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1)
8
c
2
, c
8
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1)
8
c
3
, c
5
, c
9
c
11
y
72
+ 33y
71
+ ··· − 508y + 1
c
4
, c
10
(y
36
− 29y
35
+ ··· + 32744y + 2401)
2
c
6
, c
12
(y
4
− y
3
+ 6y
2
− 4y + 1)
18
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621964 + 0.187730I
a = 0.043395 − 0.899305I
b = 1.74254 + 0.89462I
−5.07330 − 6.15314I −12.5150 + 11.0910I
u = 0.621964 + 0.187730I
a = −0.172784 − 1.279290I
b = 1.72787 + 1.37986I
0.30826 − 11.14470I −6.4232 + 12.8416I
u = 0.621964 + 0.187730I
a = 0.083812 + 1.340970I
b = −1.58336 − 1.37684I
1.08148 − 5.39594I −4.71591 + 7.62995I
u = 0.621964 + 0.187730I
a = −0.472186 − 1.302990I
b = −1.002860 + 0.435895I
−5.07330 − 1.96639I −12.51499 + 2.76537I
u = 0.621964 + 0.187730I
a = −0.52748 + 1.34407I
b = −1.20229 − 0.86663I
−2.09142 − 4.05977I −3.34765 + 6.92820I
u = 0.621964 + 0.187730I
a = −0.140383 − 0.326691I
b = −1.72704 + 0.06713I
−2.67293 − 6.51418I −9.67208 + 9.84118I
u = 0.621964 + 0.187730I
a = −0.03091 − 1.91201I
b = −0.233839 + 0.972155I
0.30826 + 3.02516I −6.42320 + 0.I
u = 0.621964 + 0.187730I
a = 0.0660544 − 0.0481691I
b = 1.85458 + 0.20571I
−2.67293 − 1.60535I −9.67208 + 4.01523I
u = 0.621964 + 0.187730I
a = −0.17460 + 2.03839I
b = −0.277023 − 0.922937I
1.08148 − 2.72360I 0
u = 0.621964 + 0.187730I
a = 1.57671 + 1.47923I
b = 0.789327 + 0.151353I
−2.09142 − 4.05977I 0
23
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621964 + 0.187730I
a = 1.23483 − 1.98742I
b = 0.947343 + 0.488649I
−5.07330 − 1.96639I 0
u = 0.621964 + 0.187730I
a = 0.32744 + 2.47182I
b = 0.029164 − 0.289477I
1.08148 − 2.72360I 0
u = 0.621964 + 0.187730I
a = 2.48906 − 1.09660I
b = 1.157210 + 0.425237I
−2.67293 − 6.51418I 0
u = 0.621964 + 0.187730I
a = 0.25190 − 2.73154I
b = 0.386730 + 0.293429I
0.30826 + 3.02516I 0
u = 0.621964 + 0.187730I
a = −2.77420 + 0.50418I
b = −1.143270 − 0.453013I
−2.67293 − 1.60535I 0
u = 0.621964 + 0.187730I
a = −2.76982 − 1.09444I
b = −0.914102 − 0.480431I
−5.07330 − 6.15314I 0
u = 0.621964 + 0.187730I
a = 2.74594 + 2.17440I
b = 0.657306 + 0.555983I
1.08148 − 5.39594I 0
u = 0.621964 + 0.187730I
a = −3.02715 − 2.09291I
b = −0.708291 − 0.614661I
0.30826 − 11.14470I 0
u = 0.621964 − 0.187730I
a = 0.043395 + 0.899305I
b = 1.74254 − 0.89462I
−5.07330 + 6.15314I −12.5150 − 11.0910I
u = 0.621964 − 0.187730I
a = −0.172784 + 1.279290I
b = 1.72787 − 1.37986I
0.30826 + 11.14470I −6.4232 − 12.8416I
24
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621964 − 0.187730I
a = 0.083812 − 1.340970I
b = −1.58336 + 1.37684I
1.08148 + 5.39594I −4.71591 − 7.62995I
u = 0.621964 − 0.187730I
a = −0.472186 + 1.302990I
b = −1.002860 − 0.435895I
−5.07330 + 1.96639I −12.51499 − 2.76537I
u = 0.621964 − 0.187730I
a = −0.52748 − 1.34407I
b = −1.20229 + 0.86663I
−2.09142 + 4.05977I −3.34765 − 6.92820I
u = 0.621964 − 0.187730I
a = −0.140383 + 0.326691I
b = −1.72704 − 0.06713I
−2.67293 + 6.51418I −9.67208 − 9.84118I
u = 0.621964 − 0.187730I
a = −0.03091 + 1.91201I
b = −0.233839 − 0.972155I
0.30826 − 3.02516I −6.42320 + 0.I
u = 0.621964 − 0.187730I
a = 0.0660544 + 0.0481691I
b = 1.85458 − 0.20571I
−2.67293 + 1.60535I −9.67208 − 4.01523I
u = 0.621964 − 0.187730I
a = −0.17460 − 2.03839I
b = −0.277023 + 0.922937I
1.08148 + 2.72360I 0
u = 0.621964 − 0.187730I
a = 1.57671 − 1.47923I
b = 0.789327 − 0.151353I
−2.09142 + 4.05977I 0
u = 0.621964 − 0.187730I
a = 1.23483 + 1.98742I
b = 0.947343 − 0.488649I
−5.07330 + 1.96639I 0
u = 0.621964 − 0.187730I
a = 0.32744 − 2.47182I
b = 0.029164 + 0.289477I
1.08148 + 2.72360I 0
25
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621964 − 0.187730I
a = 2.48906 + 1.09660I
b = 1.157210 − 0.425237I
−2.67293 + 6.51418I 0
u = 0.621964 − 0.187730I
a = 0.25190 + 2.73154I
b = 0.386730 − 0.293429I
0.30826 − 3.02516I 0
u = 0.621964 − 0.187730I
a = −2.77420 − 0.50418I
b = −1.143270 + 0.453013I
−2.67293 + 1.60535I 0
u = 0.621964 − 0.187730I
a = −2.76982 + 1.09444I
b = −0.914102 + 0.480431I
−5.07330 + 6.15314I 0
u = 0.621964 − 0.187730I
a = 2.74594 − 2.17440I
b = 0.657306 − 0.555983I
1.08148 + 5.39594I 0
u = 0.621964 − 0.187730I
a = −3.02715 + 2.09291I
b = −0.708291 + 0.614661I
0.30826 + 11.14470I 0
u = −1.12196 + 1.05376I
a = −0.215767 − 0.983553I
b = −1.58336 + 1.37684I
1.08148 + 5.39594I −4.71591 − 7.62995I
u = −1.12196 + 1.05376I
a = −0.054232 + 0.990851I
b = 1.74254 − 0.89462I
−5.07330 + 6.15314I −12.5150 − 11.0910I
u = −1.12196 + 1.05376I
a = 0.474654 − 0.871187I
b = −1.72704 − 0.06713I
−2.67293 + 6.51418I −9.67208 − 9.84118I
u = −1.12196 + 1.05376I
a = −0.383243 + 0.960480I
b = 1.85458 − 0.20571I
−2.67293 + 1.60535I −9.67208 − 4.01523I
26
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12196 + 1.05376I
a = 0.192552 + 1.057560I
b = 1.72787 − 1.37986I
0.30826 + 11.14470I −6.4232 − 12.8416I
u = −1.12196 + 1.05376I
a = 0.101533 − 0.868580I
b = −0.708291 + 0.614661I
0.30826 + 11.14470I −6.4232 − 12.8416I
u = −1.12196 + 1.05376I
a = 0.239834 − 0.817475I
b = −0.914102 + 0.480431I
−5.07330 + 6.15314I −12.5150 − 11.0910I
u = −1.12196 + 1.05376I
a = 0.387624 − 0.754019I
b = −1.143270 + 0.453013I
−2.67293 + 1.60535I −9.67208 − 4.01523I
u = −1.12196 + 1.05376I
a = −0.083690 + 0.823933I
b = 0.657306 − 0.555983I
1.08148 + 5.39594I −4.71591 − 7.62995I
u = −1.12196 + 1.05376I
a = −0.402530 + 0.677684I
b = 1.157210 − 0.425237I
−2.67293 + 6.51418I −9.67208 − 9.84118I
u = −1.12196 + 1.05376I
a = 0.459286 − 0.540354I
b = −1.002860 − 0.435895I
−5.07330 + 1.96639I −12.51499 − 2.76537I
u = −1.12196 + 1.05376I
a = 0.001737 − 0.694392I
b = −1.20229 + 0.86663I
−2.09142 + 4.05977I −3.34765 − 6.92820I
u = −1.12196 + 1.05376I
a = −0.225042 + 0.656570I
b = 0.789327 − 0.151353I
−2.09142 + 4.05977I −3.34765 − 6.92820I
u = −1.12196 + 1.05376I
a = −0.226943 + 0.437766I
b = 0.947343 − 0.488649I
−5.07330 + 1.96639I −12.51499 − 2.76537I
27
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12196 + 1.05376I
a = 0.450119 − 0.069429I
b = −0.233839 − 0.972155I
0.30826 − 3.02516I −6.42320 − 1.01485I
u = −1.12196 + 1.05376I
a = −0.267479 − 0.164880I
b = −0.277023 + 0.922937I
1.08148 + 2.72360I −4.71591 − 6.22645I
u = −1.12196 + 1.05376I
a = −0.067838 + 0.216987I
b = 0.029164 + 0.289477I
1.08148 + 2.72360I −4.71591 − 6.22645I
u = −1.12196 + 1.05376I
a = −0.1102070 − 0.0121677I
b = 0.386730 − 0.293429I
0.30826 − 3.02516I −6.42320 − 1.01485I
u = −1.12196 − 1.05376I
a = −0.215767 + 0.983553I
b = −1.58336 − 1.37684I
1.08148 − 5.39594I −4.71591 + 7.62995I
u = −1.12196 − 1.05376I
a = −0.054232 − 0.990851I
b = 1.74254 + 0.89462I
−5.07330 − 6.15314I −12.5150 + 11.0910I
u = −1.12196 − 1.05376I
a = 0.474654 + 0.871187I
b = −1.72704 + 0.06713I
−2.67293 − 6.51418I −9.67208 + 9.84118I
u = −1.12196 − 1.05376I
a = −0.383243 − 0.960480I
b = 1.85458 + 0.20571I
−2.67293 − 1.60535I −9.67208 + 4.01523I
u = −1.12196 − 1.05376I
a = 0.192552 − 1.057560I
b = 1.72787 + 1.37986I
0.30826 − 11.14470I −6.4232 + 12.8416I
u = −1.12196 − 1.05376I
a = 0.101533 + 0.868580I
b = −0.708291 − 0.614661I
0.30826 − 11.14470I −6.4232 + 12.8416I
28
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12196 − 1.05376I
a = 0.239834 + 0.817475I
b = −0.914102 − 0.480431I
−5.07330 − 6.15314I −12.5150 + 11.0910I
u = −1.12196 − 1.05376I
a = 0.387624 + 0.754019I
b = −1.143270 − 0.453013I
−2.67293 − 1.60535I −9.67208 + 4.01523I
u = −1.12196 − 1.05376I
a = −0.083690 − 0.823933I
b = 0.657306 + 0.555983I
1.08148 − 5.39594I −4.71591 + 7.62995I
u = −1.12196 − 1.05376I
a = −0.402530 − 0.677684I
b = 1.157210 + 0.425237I
−2.67293 − 6.51418I −9.67208 + 9.84118I
u = −1.12196 − 1.05376I
a = 0.459286 + 0.540354I
b = −1.002860 + 0.435895I
−5.07330 − 1.96639I −12.51499 + 2.76537I
u = −1.12196 − 1.05376I
a = 0.001737 + 0.694392I
b = −1.20229 − 0.86663I
−2.09142 − 4.05977I −3.34765 + 6.92820I
u = −1.12196 − 1.05376I
a = −0.225042 − 0.656570I
b = 0.789327 + 0.151353I
−2.09142 − 4.05977I −3.34765 + 6.92820I
u = −1.12196 − 1.05376I
a = −0.226943 − 0.437766I
b = 0.947343 + 0.488649I
−5.07330 − 1.96639I −12.51499 + 2.76537I
u = −1.12196 − 1.05376I
a = 0.450119 + 0.069429I
b = −0.233839 + 0.972155I
0.30826 + 3.02516I −6.42320 + 1.01485I
u = −1.12196 − 1.05376I
a = −0.267479 + 0.164880I
b = −0.277023 − 0.922937I
1.08148 − 2.72360I −4.71591 + 6.22645I
29
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12196 − 1.05376I
a = −0.067838 − 0.216987I
b = 0.029164 − 0.289477I
1.08148 − 2.72360I −4.71591 + 6.22645I
u = −1.12196 − 1.05376I
a = −0.1102070 + 0.0121677I
b = 0.386730 + 0.293429I
0.30826 + 3.02516I −6.42320 + 1.01485I
30
V. I
u
5
= h−6.09 × 10
26
u
37
− 1.06 × 10
28
u
36
+ · · · + 4.67 × 10
25
b − 8.22 ×
10
26
, 2.33 × 10
27
u
37
+ 4.03 × 10
28
u
36
+ · · · + 4.67 × 10
25
a + 3.83 ×
10
27
, u
38
+ 18u
37
+ · · · − 8u
2
+ 1i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
11
=
−49.7401u
37
− 863.168u
36
+ ··· + 119.613u − 81.9531
13.0201u
37
+ 226.837u
36
+ ··· − 32.2130u + 17.5851
a
12
=
−17.5851u
37
− 303.512u
36
+ ··· + 37.6599u − 32.2130
24.6296u
37
+ 428.883u
36
+ ··· − 64.3680u + 36.7200
a
5
=
3.78635u
37
+ 66.0564u
36
+ ··· − 12.7836u + 2.99007
−4.37537u
37
− 75.9630u
36
+ ··· + 9.65766u − 7.35596
a
3
=
27.6107u
37
+ 478.836u
36
+ ··· − 65.2823u + 40.0547
−5.66758u
37
− 98.4469u
36
+ ··· + 13.4440u − 9.45394
a
10
=
−36.7200u
37
− 636.331u
36
+ ··· + 87.4000u − 64.3680
13.0201u
37
+ 226.837u
36
+ ··· − 32.2130u + 17.5851
a
1
=
29.2526u
37
+ 512.522u
36
+ ··· − 92.8454u + 54.6371
7.79664u
37
+ 134.980u
36
+ ··· − 13.6533u + 9.18470
a
9
=
−42.3215u
37
− 736.848u
36
+ ··· + 96.8440u − 66.4455
13.3033u
37
+ 230.788u
36
+ ··· − 33.3099u + 23.2834
a
8
=
−18.9250u
37
− 326.508u
36
+ ··· + 24.5166u − 31.6821
7.89293u
37
+ 136.936u
36
+ ··· − 22.9497u + 12.6194
a
2
=
−65.7788u
37
− 1141.21u
36
+ ··· + 165.415u − 104.226
12.6297u
37
+ 218.941u
36
+ ··· − 29.2615u + 17.0670
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
20685853941422158446891164672
46744454888068146617360707
u
37
+
358466708739622235529406475255
46744454888068146617360707
u
36
+ ··· −
45296260896340787040013546468
46744454888068146617360707
u +
30762563203959042596150597180
46744454888068146617360707
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
19
− 8u
18
+ ··· + 102u − 13)
2
c
2
, c
8
u
38
+ 8u
36
+ ··· + 102u
2
+ 13
c
3
, c
5
, c
9
c
11
u
38
+ 2u
37
+ ··· − 4u + 1
c
4
, c
10
(u
19
− u
18
+ ··· + 4u + 1)
2
c
6
, c
12
u
38
+ 18u
37
+ ··· − 8u
2
+ 1
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
19
+ 14y
18
+ ··· − 282y − 169)
2
c
2
, c
8
(y
19
+ 8y
18
+ ··· + 102y + 13)
2
c
3
, c
5
, c
9
c
11
y
38
+ 18y
37
+ ··· − 14y + 1
c
4
, c
10
(y
19
− 11y
18
+ ··· + 16y − 1)
2
c
6
, c
12
y
38
− 10y
37
+ ··· − 16y + 1
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.956371 + 0.209083I
a = −0.426382 + 0.952356I
b = 0.218177
−4.52242 −10.25873 + 0.I
u = −0.956371 − 0.209083I
a = −0.426382 − 0.952356I
b = 0.218177
−4.52242 −10.25873 + 0.I
u = 0.708217 + 0.371640I
a = 0.779209 − 0.425669I
b = 1.217330 + 0.243587I
−3.97184 − 2.91027I −7.53541 + 6.80891I
u = 0.708217 − 0.371640I
a = 0.779209 + 0.425669I
b = 1.217330 − 0.243587I
−3.97184 + 2.91027I −7.53541 − 6.80891I
u = −0.680360 + 0.232684I
a = 0.12394 + 2.36528I
b = 0.164864 − 0.652840I
1.39868 + 2.79168I 29.1331 − 14.8928I
u = −0.680360 − 0.232684I
a = 0.12394 − 2.36528I
b = 0.164864 + 0.652840I
1.39868 − 2.79168I 29.1331 + 14.8928I
u = 0.696736 + 0.116954I
a = −0.828458 + 0.629068I
b = −1.144140 + 0.503157I
−4.46607 + 5.38037I −6.28600 − 3.52683I
u = 0.696736 − 0.116954I
a = −0.828458 − 0.629068I
b = −1.144140 − 0.503157I
−4.46607 − 5.38037I −6.28600 + 3.52683I
u = −0.926766 + 0.922161I
a = 0.056787 + 1.058670I
b = 0.781126 − 1.016820I
2.09860 + 4.90010I 0
u = −0.926766 − 0.922161I
a = 0.056787 − 1.058670I
b = 0.781126 + 1.016820I
2.09860 − 4.90010I 0
34
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.961427 + 0.927010I
a = −0.048774 − 1.101300I
b = −0.898430 + 1.028960I
1.25797 + 10.62750I 0
u = −0.961427 − 0.927010I
a = −0.048774 + 1.101300I
b = −0.898430 − 1.028960I
1.25797 − 10.62750I 0
u = −0.643666 + 0.039085I
a = −0.46958 − 2.47701I
b = 0.080602 + 0.577184I
0.54407 − 3.39673I 5.7602 + 20.3794I
u = −0.643666 − 0.039085I
a = −0.46958 + 2.47701I
b = 0.080602 − 0.577184I
0.54407 + 3.39673I 5.7602 − 20.3794I
u = −1.207910 + 0.675618I
a = −0.262823 − 0.887861I
b = −0.795322 + 0.433703I
−4.51012 + 5.17024I 0
u = −1.207910 − 0.675618I
a = −0.262823 + 0.887861I
b = −0.795322 − 0.433703I
−4.51012 − 5.17024I 0
u = 1.22909 + 0.82211I
a = −0.033093 + 0.255724I
b = −0.795322 + 0.433703I
−4.51012 + 5.17024I 0
u = 1.22909 − 0.82211I
a = −0.033093 − 0.255724I
b = −0.795322 − 0.433703I
−4.51012 − 5.17024I 0
u = −1.06025 + 1.03273I
a = 0.429799 − 0.885490I
b = −1.45561 + 0.39048I
−2.07056 + 1.34541I 0
u = −1.06025 − 1.03273I
a = 0.429799 + 0.885490I
b = −1.45561 − 0.39048I
−2.07056 − 1.34541I 0
35
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −1.13619 + 0.95241I
a = 0.123399 − 0.867542I
b = −1.144140 + 0.503157I
−4.46607 + 5.38037I 0
u = −1.13619 − 0.95241I
a = 0.123399 + 0.867542I
b = −1.144140 − 0.503157I
−4.46607 − 5.38037I 0
u = 0.086477 + 0.509080I
a = −1.91796 − 0.77750I
b = 0.781126 − 1.016820I
2.09860 + 4.90010I 3.24966 − 3.54295I
u = 0.086477 − 0.509080I
a = −1.91796 + 0.77750I
b = 0.781126 + 1.016820I
2.09860 − 4.90010I 3.24966 + 3.54295I
u = −1.05596 + 1.05573I
a = −0.471156 + 0.803488I
b = 1.44050 − 0.29498I
−2.00144 + 6.38781I 0
u = −1.05596 − 1.05573I
a = −0.471156 − 0.803488I
b = 1.44050 + 0.29498I
−2.00144 − 6.38781I 0
u = 0.415981 + 0.216851I
a = 1.98843 − 0.91319I
b = 1.44050 + 0.29498I
−2.00144 − 6.38781I 4.83228 + 6.79489I
u = 0.415981 − 0.216851I
a = 1.98843 + 0.91319I
b = 1.44050 − 0.29498I
−2.00144 + 6.38781I 4.83228 − 6.79489I
u = 0.159290 + 0.432216I
a = 1.81139 + 1.56961I
b = −0.898430 + 1.028960I
1.25797 + 10.62750I 1.70992 − 8.11480I
u = 0.159290 − 0.432216I
a = 1.81139 − 1.56961I
b = −0.898430 − 1.028960I
1.25797 − 10.62750I 1.70992 + 8.11480I
36
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.417128 + 0.133689I
a = −2.39275 + 0.34238I
b = −1.45561 − 0.39048I
−2.07056 − 1.34541I 4.35277 − 1.87828I
u = 0.417128 − 0.133689I
a = −2.39275 − 0.34238I
b = −1.45561 + 0.39048I
−2.07056 + 1.34541I 4.35277 + 1.87828I
u = −1.15030 + 1.12405I
a = −0.292036 + 0.614823I
b = 1.217330 − 0.243587I
−3.97184 + 2.91027I 0
u = −1.15030 − 1.12405I
a = −0.292036 − 0.614823I
b = 1.217330 + 0.243587I
−3.97184 − 2.91027I 0
u = −1.65369 + 0.97316I
a = −0.253999 + 0.051050I
b = 0.080602 + 0.577184I
0.54407 − 3.39673I 0
u = −1.65369 − 0.97316I
a = −0.253999 − 0.051050I
b = 0.080602 − 0.577184I
0.54407 + 3.39673I 0
u = −1.28003 + 1.79871I
a = 0.084060 + 0.144934I
b = 0.164864 − 0.652840I
1.39868 + 2.79168I 0
u = −1.28003 − 1.79871I
a = 0.084060 − 0.144934I
b = 0.164864 + 0.652840I
1.39868 − 2.79168I 0
37
VI. I
u
6
= h1.09 × 10
11
b + 1.62 × 10
11
a
17
+ · · · + 4.84 × 10
11
a + 6.36 ×
10
10
, a
18
− a
17
+ · · · + 2a + 1, u + 1i
(i) Arc colorings
a
4
=
0
−1
a
6
=
1
0
a
7
=
1
1
a
11
=
a
−1.47791a
17
+ 2.50210a
16
+ ··· − 4.42179a − 0.581644
a
12
=
−1.47791a
17
+ 2.50210a
16
+ ··· − 4.42179a − 0.581644
−2.95582a
17
+ 5.00420a
16
+ ··· − 9.84358a − 1.16329
a
5
=
−1.02419a
17
+ 1.20248a
16
+ ··· − 2.37418a − 0.477912
−3.07256a
17
+ 3.60743a
16
+ ··· − 7.12254a − 3.43374
a
3
=
a
2
1.02419a
17
− 1.20248a
16
+ ··· + 2.37418a + 0.477912
a
10
=
−1.47791a
17
+ 2.50210a
16
+ ··· − 3.42179a − 0.581644
−1.47791a
17
+ 2.50210a
16
+ ··· − 4.42179a − 0.581644
a
1
=
−a
−1.47791a
17
+ 2.50210a
16
+ ··· − 5.42179a − 0.581644
a
9
=
−1.65620a
17
+ 2.53991a
16
+ ··· − 4.99225a − 1.60583
−2.01279a
17
+ 2.61554a
16
+ ··· − 7.13317a − 3.65420
a
8
=
−0.00365065a
17
− 0.513754a
16
+ ··· + 1.02086a − 0.477574
1.29206a
17
− 2.58010a
16
+ ··· + 4.85068a − 0.0491338
a
2
=
−0.285402a
17
+ 0.468854a
16
+ ··· − 1.91849a − 0.280952
−1.58468a
17
+ 1.91226a
16
+ ··· − 6.75544a − 3.23277
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
1024600473764
109385111613
a
17
−
1193452041560
109385111613
a
16
+ ··· +
992360294816
36461703871
a +
503797756390
109385111613
38
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
2
c
2
, c
8
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
2
c
3
, c
5
, c
9
c
11
u
18
− u
17
+ ··· + 2u + 1
c
4
, c
10
(u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1)
2
c
6
, c
12
(u + 1)
18
39
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1)
2
c
2
, c
8
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1)
2
c
3
, c
5
, c
9
c
11
y
18
+ 3y
17
+ ··· + 8y + 1
c
4
, c
10
(y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y − 1)
2
c
6
, c
12
(y − 1)
18
40
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −0.030512 + 0.922109I
b = 0.141484 − 0.739668I
−2.67293 + 2.45442I −9.67208 − 2.91298I
u = −1.00000
a = −0.030512 − 0.922109I
b = 0.141484 + 0.739668I
−2.67293 − 2.45442I −9.67208 + 2.91298I
u = −1.00000
a = −0.144884 + 0.672802I
b = 0.772920 − 0.510351I
−5.07330 − 2.09337I −12.51499 + 4.16283I
u = −1.00000
a = −0.144884 − 0.672802I
b = 0.772920 + 0.510351I
−5.07330 + 2.09337I −12.51499 − 4.16283I
u = −1.00000
a = −0.395368 + 0.496909I
b = 1.172470 − 0.500383I
0.30826 − 7.08493I −6.42320 + 5.91335I
u = −1.00000
a = −0.395368 − 0.496909I
b = 1.172470 + 0.500383I
0.30826 + 7.08493I −6.42320 − 5.91335I
u = −1.00000
a = −0.412966 + 0.383789I
b = −0.825933
−2.09142 −3.34765 + 0.I
u = −1.00000
a = −0.412966 − 0.383789I
b = −0.825933
−2.09142 −3.34765 + 0.I
u = −1.00000
a = 0.360883 + 0.410405I
b = −1.173910 − 0.391555I
1.08148 + 1.33617I −4.71591 − 0.70175I
u = −1.00000
a = 0.360883 − 0.410405I
b = −1.173910 + 0.391555I
1.08148 − 1.33617I −4.71591 + 0.70175I
41
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0.91780 + 1.18315I
b = 0.772920 + 0.510351I
−5.07330 + 2.09337I −12.51499 − 4.16283I
u = −1.00000
a = 0.91780 − 1.18315I
b = 0.772920 − 0.510351I
−5.07330 − 2.09337I −12.51499 + 4.16283I
u = −1.00000
a = 0.17200 + 1.66178I
b = 0.141484 + 0.739668I
−2.67293 − 2.45442I −9.67208 + 2.91298I
u = −1.00000
a = 0.17200 − 1.66178I
b = 0.141484 − 0.739668I
−2.67293 + 2.45442I −9.67208 − 2.91298I
u = −1.00000
a = −1.53479 + 0.80196I
b = −1.173910 + 0.391555I
1.08148 − 1.33617I −4.71591 + 0.70175I
u = −1.00000
a = −1.53479 − 0.80196I
b = −1.173910 − 0.391555I
1.08148 + 1.33617I −4.71591 − 0.70175I
u = −1.00000
a = 1.56784 + 0.99729I
b = 1.172470 + 0.500383I
0.30826 + 7.08493I −6.42320 − 5.91335I
u = −1.00000
a = 1.56784 − 0.99729I
b = 1.172470 − 0.500383I
0.30826 − 7.08493I −6.42320 + 5.91335I
42
VII. I
u
7
= hb + u, a − u, u
2
+ u + 1i
(i) Arc colorings
a
4
=
0
u
a
6
=
1
0
a
7
=
1
−u − 1
a
11
=
u
−u
a
12
=
−1
0
a
5
=
−u
u
a
3
=
−1
u + 1
a
10
=
0
−u
a
1
=
−1
u + 1
a
9
=
1
−u − 1
a
8
=
1
−u − 1
a
2
=
−1
u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u − 4
43
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
c
8
u
2
c
3
, c
5
, c
9
c
11
u
2
− u + 1
c
4
, c
6
, c
10
c
12
u
2
+ u + 1
44
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
7
c
8
y
2
c
3
, c
4
, c
5
c
6
, c
9
, c
10
c
11
, c
12
y
2
+ y + 1
45
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.500000 + 0.866025I
b = 0.500000 − 0.866025I
4.05977I 0. − 6.92820I
u = −0.500000 − 0.866025I
a = −0.500000 − 0.866025I
b = 0.500000 + 0.866025I
− 4.05977I 0. + 6.92820I
46
VIII. I
v
1
= ha, b
9
+ b
8
− 2b
7
− 3b
6
+ b
5
+ 3b
4
+ 2b
3
− b − 1, v − 1i
(i) Arc colorings
a
4
=
1
0
a
6
=
1
0
a
7
=
1
0
a
11
=
0
b
a
12
=
b
b
a
5
=
b
2
+ 1
b
2
a
3
=
1
b
2
a
10
=
b
b
a
1
=
b
b
a
9
=
−b
3
−b
3
+ b
a
8
=
b
6
− b
4
+ 1
b
6
− 2b
4
+ b
2
a
2
=
b
3
b
5
− b
3
+ b
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4b
7
− 8b
5
− 4b
4
+ 8b
3
+ 4b
2
+ 4b + 2
47
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1
c
2
, c
8
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1
c
3
, c
4
, c
5
c
9
, c
10
, c
11
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1
c
6
, c
12
u
9
48
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1
c
2
, c
8
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1
c
3
, c
4
, c
5
c
9
, c
10
, c
11
y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y − 1
c
6
, c
12
y
9
49
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 1.00000
a = 0
b = −0.772920 + 0.510351I
−1.78344 − 2.09337I −0.51499 + 4.16283I
v = 1.00000
a = 0
b = −0.772920 − 0.510351I
−1.78344 + 2.09337I −0.51499 − 4.16283I
v = 1.00000
a = 0
b = 0.825933
1.19845 8.65230
v = 1.00000
a = 0
b = 1.173910 + 0.391555I
4.37135 + 1.33617I 7.28409 − 0.70175I
v = 1.00000
a = 0
b = 1.173910 − 0.391555I
4.37135 − 1.33617I 7.28409 + 0.70175I
v = 1.00000
a = 0
b = −0.141484 + 0.739668I
0.61694 + 2.45442I 2.32792 − 2.91298I
v = 1.00000
a = 0
b = −0.141484 − 0.739668I
0.61694 − 2.45442I 2.32792 + 2.91298I
v = 1.00000
a = 0
b = −1.172470 + 0.500383I
3.59813 − 7.08493I 5.57680 + 5.91335I
v = 1.00000
a = 0
b = −1.172470 − 0.500383I
3.59813 + 7.08493I 5.57680 − 5.91335I
50
IX. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
u
2
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
15
· ((u
10
+ 3u
9
+ ··· + 4u + 16)
2
)(u
19
− 8u
18
+ ··· + 102u − 13)
2
· (u
27
+ 10u
26
+ ··· + 208u − 64)
c
2
, c
8
u
2
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
14
· (u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1)
· (u
10
+ 3u
9
+ 6u
8
+ 7u
7
+ 7u
6
+ 4u
5
+ 2u
4
+ u
3
+ 5u
2
+ 6u + 4)
2
· (u
27
+ 6u
26
+ ··· + 20u + 8)(u
38
+ 8u
36
+ ··· + 102u
2
+ 13)
c
3
, c
5
, c
9
c
11
(u
2
− u + 1)(u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1)
· (u
18
− u
17
+ ··· + 2u + 1)(u
20
+ u
19
+ ··· + 4u + 1)
· (u
27
− u
26
+ ··· − u + 1)(u
36
+ u
35
+ ··· + 8u + 1)
· (u
38
+ 2u
37
+ ··· − 4u + 1)(u
72
− u
71
+ ··· + 44u + 1)
c
4
, c
10
(u
2
+ u + 1)(u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1)
2
· (u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1)
· (u
10
− u
9
+ 2u
8
− 2u
7
+ 3u
6
− 2u
5
+ 4u
4
− 3u
3
+ 2u
2
− u + 1)
2
· ((u
19
− u
18
+ ··· + 4u + 1)
2
)(u
27
+ 2u
26
+ ··· − u − 4)
· ((u
36
− u
35
+ ··· − 172u + 49)
2
)(u
36
+ 3u
35
+ ··· + 2544u + 889)
c
6
, c
12
u
9
(u + 1)
18
(u
2
+ u + 1)
19
(u
4
+ u
3
− 2u + 1)
18
· (u
20
− 17u
19
+ ··· − 5470u + 547)(u
27
− 19u
26
+ ··· − 2467u + 161)
· (u
38
+ 18u
37
+ ··· − 8u
2
+ 1)
51
X. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
2
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1)
15
· ((y
10
+ 7y
9
+ ··· + 912y + 256)
2
)(y
19
+ 14y
18
+ ··· − 282y − 169)
2
· (y
27
+ 14y
26
+ ··· + 92416y − 4096)
c
2
, c
8
y
2
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1)
15
· ((y
10
+ 3y
9
+ ··· + 4y + 16)
2
)(y
19
+ 8y
18
+ ··· + 102y + 13)
2
· (y
27
+ 10y
26
+ ··· + 208y − 64)
c
3
, c
5
, c
9
c
11
(y
2
+ y + 1)(y
9
− 5y
8
+ ··· + y − 1)
· (y
18
+ 3y
17
+ ··· + 8y + 1)(y
20
− 3y
19
+ ··· − 6y + 1)
· (y
27
− 11y
26
+ ··· + 35y − 1)(y
36
+ 3y
35
+ ··· + 24y + 1)
· (y
38
+ 18y
37
+ ··· − 14y + 1)(y
72
+ 33y
71
+ ··· − 508y + 1)
c
4
, c
10
(y
2
+ y + 1)(y
9
− 5y
8
+ ··· + y − 1)
3
· (y
10
+ 3y
9
+ 6y
8
+ 12y
7
+ 15y
6
+ 16y
5
+ 16y
4
+ 9y
3
+ 6y
2
+ 3y + 1)
2
· ((y
19
− 11y
18
+ ··· + 16y − 1)
2
)(y
27
− 16y
26
+ ··· + 353y − 16)
· (y
36
− 29y
35
+ ··· + 32744y + 2401)
2
· (y
36
+ 23y
35
+ ··· − 6905768y + 790321)
c
6
, c
12
y
9
(y − 1)
18
(y
2
+ y + 1)
19
(y
4
− y
3
+ 6y
2
− 4y + 1)
18
· (y
20
+ 9y
19
+ ··· − 291004y + 299209)
· (y
27
− 19y
26
+ ··· + 1457339y − 25921)(y
38
− 10y
37
+ ··· − 16y + 1)
52
