12a
0483
(K12a
0483
)
A knot diagram
1
Linearized knot diagam
3 6 11 10 9 2 4 1 12 8 7 5
Solving Sequence
4,7 8,11
12 3 10 5 1 2 6 9
c
7
c
11
c
3
c
10
c
4
c
12
c
1
c
6
c
9
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h3.39637 × 10
102
u
49
+ 9.37271 × 10
101
u
48
+ ··· + 4.22304 × 10
102
b − 4.54172 × 10
103
,
5.05934 × 10
103
u
49
− 2.24413 × 10
104
u
48
+ ··· + 2.06929 × 10
104
a − 6.26286 × 10
105
, u
50
+ u
49
+ ··· − 13u + 7i
I
u
2
= h1.21305 × 10
1409
u
169
− 2.95236 × 10
1409
u
168
+ ··· + 2.55035 × 10
1408
b − 2.02591 × 10
1409
,
− 1.12706 × 10
1409
u
169
+ 2.73180 × 10
1409
u
168
+ ··· + 2.55035 × 10
1408
a + 3.50626 × 10
1409
,
u
170
− 3u
169
+ ··· − 4u + 1i
I
u
3
= h1.74194 × 10
110
u
45
− 1.94041 × 10
110
u
44
+ ··· + 1.58393 × 10
111
b − 1.73190 × 10
111
,
− 5.80551 × 10
111
u
45
+ 4.76976 × 10
111
u
44
+ ··· + 1.10875 × 10
112
a + 7.13483 × 10
112
, u
46
− u
45
+ ··· − 7u + 7i
I
u
4
= h−u
8
+ 2u
6
+ 2u
5
− u
4
− u
3
− 4u
2
+ b + 3, −u
8
+ 2u
6
+ 2u
5
− u
4
− u
3
− 4u
2
+ a + 4,
u
9
+ u
8
− u
7
− 3u
6
− 2u
5
− u
4
+ 3u
3
+ 3u
2
− u − 1i
I
u
5
= hb − 1, a − 1, u
2
+ u + 1i
* 5 irreducible components of dim
C
= 0, with total 277 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
= h3.40 × 10
102
u
49
+ 9.37 × 10
101
u
48
+ · · · + 4.22 × 10
102
b − 4.54 ×
10
103
, 5.06 × 10
103
u
49
− 2.24 × 10
104
u
48
+ · · · + 2.07 × 10
104
a − 6.26 ×
10
105
, u
50
+ u
49
+ · · · − 13u + 7i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
−0.244496u
49
+ 1.08449u
48
+ ··· − 64.7799u + 30.2657
−0.804246u
49
− 0.221942u
48
+ ··· − 39.0383u + 10.7546
a
12
=
0.559750u
49
+ 1.30643u
48
+ ··· − 25.7416u + 19.5111
−0.804246u
49
− 0.221942u
48
+ ··· − 39.0383u + 10.7546
a
3
=
−3.61778u
49
− 5.22963u
48
+ ··· − 7.96421u − 42.2363
−0.982837u
49
− 1.60843u
48
+ ··· + 10.0119u − 14.6152
a
10
=
0.482332u
49
+ 1.62160u
48
+ ··· − 44.7299u + 28.8140
−0.567388u
49
− 0.0819737u
48
+ ··· − 31.4842u + 9.42658
a
5
=
−4.54858u
49
− 5.81641u
48
+ ··· − 47.1344u − 34.9858
−0.558867u
49
− 1.04551u
48
+ ··· + 11.4296u − 12.7931
a
1
=
1.82758u
49
+ 1.26871u
48
+ ··· + 68.3757u − 12.3290
−0.317601u
49
+ 0.0639091u
48
+ ··· − 18.9800u + 6.84255
a
2
=
0.627463u
49
+ 3.27508u
48
+ ··· − 105.094u + 60.7596
−0.269618u
49
+ 0.509041u
48
+ ··· − 44.5208u + 16.3153
a
6
=
−2.01281u
49
− 2.50341u
48
+ ··· − 25.2865u − 15.7923
1.38953u
49
+ 1.23474u
48
+ ··· + 34.4210u − 4.49427
a
9
=
0.0910837u
49
+ 0.454900u
48
+ ··· − 18.0495u + 11.5917
−0.652183u
49
+ 0.424567u
48
+ ··· − 50.4902u + 19.4551
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.91113u
49
− 0.862109u
48
+ ··· − 86.2208u + 16.6705
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
50
+ 26u
49
+ ··· + 10532u + 1296
c
2
, c
6
u
50
− 4u
49
+ ··· − 94u + 36
c
3
, c
5
7(7u
50
− u
49
+ ··· − u + 1)
c
4
7(7u
50
− 29u
49
+ ··· − 10240u + 2048)
c
7
, c
12
u
50
+ u
49
+ ··· − 13u + 7
c
8
, c
11
u
50
− 12u
49
+ ··· − 800u + 56
c
9
, c
10
u
50
− 7u
49
+ ··· + 3u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
50
− 2y
49
+ ··· + 8736656y + 1679616
c
2
, c
6
y
50
+ 26y
49
+ ··· + 10532y + 1296
c
3
, c
5
49(49y
50
− 771y
49
+ ··· + 7y + 1)
c
4
49(49y
50
− 379y
49
+ ··· + 1.30023 × 10
8
y + 4194304)
c
7
, c
12
y
50
+ 11y
49
+ ··· + 545y + 49
c
8
, c
11
y
50
+ 2y
49
+ ··· + 69184y + 3136
c
9
, c
10
y
50
+ 3y
49
+ ··· − 13y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.896598 + 0.225500I
a = −0.780358 − 0.128987I
b = −0.183649 − 0.899545I
1.31909 + 6.48073I 9.60802 − 9.06692I
u = 0.896598 − 0.225500I
a = −0.780358 + 0.128987I
b = −0.183649 + 0.899545I
1.31909 − 6.48073I 9.60802 + 9.06692I
u = 0.587053 + 0.920652I
a = −1.48929 + 0.43644I
b = −0.699778 + 0.870114I
−0.79150 + 7.68128I 1.82344 − 9.07192I
u = 0.587053 − 0.920652I
a = −1.48929 − 0.43644I
b = −0.699778 − 0.870114I
−0.79150 − 7.68128I 1.82344 + 9.07192I
u = −0.650166 + 0.908574I
a = −1.62557 − 0.20441I
b = −0.824128 − 0.959289I
−3.16337 − 13.32280I 0. + 12.11892I
u = −0.650166 − 0.908574I
a = −1.62557 + 0.20441I
b = −0.824128 + 0.959289I
−3.16337 + 13.32280I 0. − 12.11892I
u = 0.390507 + 1.111150I
a = −0.138073 − 0.218677I
b = −0.924397 − 0.924224I
−0.151526 + 1.007590I 0
u = 0.390507 − 1.111150I
a = −0.138073 + 0.218677I
b = −0.924397 + 0.924224I
−0.151526 − 1.007590I 0
u = 0.201424 + 0.796208I
a = −0.48677 + 1.73037I
b = −0.217057 + 0.628022I
1.68069 + 3.72688I 0.72867 − 11.46445I
u = 0.201424 − 0.796208I
a = −0.48677 − 1.73037I
b = −0.217057 − 0.628022I
1.68069 − 3.72688I 0.72867 + 11.46445I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.217536 + 1.210190I
a = −0.294866 + 0.348219I
b = −1.43371 + 1.09461I
−1.98809 + 4.07284I 0
u = −0.217536 − 1.210190I
a = −0.294866 − 0.348219I
b = −1.43371 − 1.09461I
−1.98809 − 4.07284I 0
u = −0.578213 + 1.092660I
a = −0.950662 − 0.265934I
b = −0.754719 − 0.548695I
−6.65501 − 4.42416I 0
u = −0.578213 − 1.092660I
a = −0.950662 + 0.265934I
b = −0.754719 + 0.548695I
−6.65501 + 4.42416I 0
u = −0.703946 + 0.215017I
a = −1.157320 − 0.212380I
b = −0.387036 + 0.904155I
3.43084 − 2.52625I 14.5793 + 4.3406I
u = −0.703946 − 0.215017I
a = −1.157320 + 0.212380I
b = −0.387036 − 0.904155I
3.43084 + 2.52625I 14.5793 − 4.3406I
u = −0.039429 + 0.676536I
a = 1.108780 + 0.614567I
b = 0.74487 + 1.35597I
−2.15722 − 7.10901I −1.75060 + 10.31895I
u = −0.039429 − 0.676536I
a = 1.108780 − 0.614567I
b = 0.74487 − 1.35597I
−2.15722 + 7.10901I −1.75060 − 10.31895I
u = 0.104668 + 0.657602I
a = 1.015970 − 0.352637I
b = 0.440762 − 1.095320I
0.03228 + 2.37617I 2.05698 − 5.41529I
u = 0.104668 − 0.657602I
a = 1.015970 + 0.352637I
b = 0.440762 + 1.095320I
0.03228 − 2.37617I 2.05698 + 5.41529I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.425932 + 0.502432I
a = 0.218708 + 0.840394I
b = −0.260537 − 0.727531I
0.65061 + 1.83401I 2.77271 − 2.66351I
u = 0.425932 − 0.502432I
a = 0.218708 − 0.840394I
b = −0.260537 + 0.727531I
0.65061 − 1.83401I 2.77271 + 2.66351I
u = −0.032968 + 1.352720I
a = −0.600335 + 0.087933I
b = −2.30156 + 0.26457I
−4.21497 − 1.45791I 0
u = −0.032968 − 1.352720I
a = −0.600335 − 0.087933I
b = −2.30156 − 0.26457I
−4.21497 + 1.45791I 0
u = −0.033602 + 0.587650I
a = 1.41694 + 0.29361I
b = 0.970954 + 0.649194I
−3.92153 + 0.23254I −2.51689 + 2.55719I
u = −0.033602 − 0.587650I
a = 1.41694 − 0.29361I
b = 0.970954 − 0.649194I
−3.92153 − 0.23254I −2.51689 − 2.55719I
u = 1.15136 + 0.83842I
a = 0.378166 − 0.327378I
b = −0.565487 − 0.444689I
1.99652 + 0.43267I 0
u = 1.15136 − 0.83842I
a = 0.378166 + 0.327378I
b = −0.565487 + 0.444689I
1.99652 − 0.43267I 0
u = −0.548514 + 0.133009I
a = −2.08340 − 0.61728I
b = −0.673485 + 0.793936I
3.75232 − 1.50137I 11.49576 + 2.69889I
u = −0.548514 − 0.133009I
a = −2.08340 + 0.61728I
b = −0.673485 − 0.793936I
3.75232 + 1.50137I 11.49576 − 2.69889I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.013356 + 0.533801I
a = 1.72298 − 2.56125I
b = −0.050304 − 0.503806I
1.49160 + 1.65153I −4.74713 − 1.23852I
u = −0.013356 − 0.533801I
a = 1.72298 + 2.56125I
b = −0.050304 + 0.503806I
1.49160 − 1.65153I −4.74713 + 1.23852I
u = −0.81574 + 1.23486I
a = −0.257474 + 0.032226I
b = −0.607824 + 0.343957I
−5.73972 − 3.90228I 0
u = −0.81574 − 1.23486I
a = −0.257474 − 0.032226I
b = −0.607824 − 0.343957I
−5.73972 + 3.90228I 0
u = 0.484055 + 0.071183I
a = −3.03028 + 0.60100I
b = −0.924312 − 0.588508I
2.19104 − 2.78946I 2.06202 + 2.65818I
u = 0.484055 − 0.071183I
a = −3.03028 − 0.60100I
b = −0.924312 + 0.588508I
2.19104 + 2.78946I 2.06202 − 2.65818I
u = 1.18638 + 1.01584I
a = 1.047690 + 0.160806I
b = 1.20084 − 1.34273I
0.3645 + 22.4198I 0
u = 1.18638 − 1.01584I
a = 1.047690 − 0.160806I
b = 1.20084 + 1.34273I
0.3645 − 22.4198I 0
u = −1.19437 + 1.02640I
a = 0.999670 − 0.103934I
b = 1.04609 + 1.32397I
2.9161 − 16.6430I 0
u = −1.19437 − 1.02640I
a = 0.999670 + 0.103934I
b = 1.04609 − 1.32397I
2.9161 + 16.6430I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.22683 + 1.02462I
a = 0.857192 + 0.139921I
b = 0.950039 − 1.040830I
−2.99524 + 13.00340I 0
u = 1.22683 − 1.02462I
a = 0.857192 − 0.139921I
b = 0.950039 + 1.040830I
−2.99524 − 13.00340I 0
u = −0.95568 + 1.28588I
a = 0.372125 + 0.282409I
b = −0.096825 + 0.533539I
−4.39828 − 4.21209I 0
u = −0.95568 − 1.28588I
a = 0.372125 − 0.282409I
b = −0.096825 − 0.533539I
−4.39828 + 4.21209I 0
u = −1.19497 + 1.08383I
a = 0.808624 + 0.146162I
b = 0.407539 + 1.244690I
5.84680 − 11.93900I 0
u = −1.19497 − 1.08383I
a = 0.808624 − 0.146162I
b = 0.407539 − 1.244690I
5.84680 + 11.93900I 0
u = 1.17365 + 1.11011I
a = 0.692252 − 0.242791I
b = 0.127090 − 1.119270I
5.62915 + 5.55517I 0
u = 1.17365 − 1.11011I
a = 0.692252 + 0.242791I
b = 0.127090 + 1.119270I
5.62915 − 5.55517I 0
u = −1.34998 + 1.18237I
a = 0.102241 + 0.382380I
b = −0.983384 + 0.387249I
−0.88229 + 5.54652I 0
u = −1.34998 − 1.18237I
a = 0.102241 − 0.382380I
b = −0.983384 − 0.387249I
−0.88229 − 5.54652I 0
9
II. I
u
2
= h1.21 × 10
1409
u
169
− 2.95 × 10
1409
u
168
+ · · · + 2.55 × 10
1408
b − 2.03 ×
10
1409
, −1.13 × 10
1409
u
169
+ 2.73 × 10
1409
u
168
+ · · · + 2.55 × 10
1408
a +
3.51 × 10
1409
, u
170
− 3u
169
+ · · · − 4u + 1i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
4.41922u
169
− 10.7115u
168
+ ··· + 33.8521u − 13.7481
−4.75640u
169
+ 11.5763u
168
+ ··· − 12.6675u + 7.94363
a
12
=
9.17561u
169
− 22.2878u
168
+ ··· + 46.5195u − 21.6918
−4.75640u
169
+ 11.5763u
168
+ ··· − 12.6675u + 7.94363
a
3
=
−6.62580u
169
+ 18.1648u
168
+ ··· − 86.8606u + 24.0352
2.37647u
169
− 5.90898u
168
+ ··· + 10.5334u − 4.55519
a
10
=
7.85716u
169
− 18.9524u
168
+ ··· + 40.7541u − 19.1456
−5.98437u
169
+ 14.5434u
168
+ ··· − 17.5214u + 10.0166
a
5
=
−7.85674u
169
+ 21.1384u
168
+ ··· − 91.0839u + 25.3133
−0.647227u
169
+ 0.933675u
168
+ ··· − 2.21501u − 0.867296
a
1
=
−12.1111u
169
+ 30.3758u
168
+ ··· + 8.99007u + 19.7552
3.83118u
169
− 9.20539u
168
+ ··· + 20.5805u − 5.14637
a
2
=
10.1660u
169
− 25.3071u
168
+ ··· + 90.3787u − 19.6312
−0.789997u
169
+ 1.86097u
168
+ ··· − 1.96231u + 1.29485
a
6
=
−6.73253u
169
+ 17.5113u
168
+ ··· + 5.11940u + 14.4188
2.30544u
169
− 5.73845u
168
+ ··· + 9.14831u − 4.82983
a
9
=
−5.15895u
169
+ 12.6503u
168
+ ··· − 10.5187u + 0.649363
1.73527u
169
− 4.49019u
168
+ ··· + 15.0515u − 3.97751
(ii) Obstruction class = −1
(iii) Cusp Shapes = −23.4560u
169
+ 59.5743u
168
+ ··· − 90.8411u + 52.8733
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
85
+ 40u
84
+ ··· − 47871u − 2916)
2
c
2
, c
6
(u
85
+ 20u
83
+ ··· − 81u − 54)
2
c
3
, c
5
u
170
+ 19u
168
+ ··· − 253u + 289
c
4
(u
85
+ 2u
84
+ ··· − 787u − 599)
2
c
7
, c
12
u
170
− 3u
169
+ ··· − 4u + 1
c
8
, c
11
u
170
+ 7u
169
+ ··· − 1269144u + 86248
c
9
, c
10
u
170
− 4u
169
+ ··· − 53u − 1
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
85
+ 12y
84
+ ··· − 81349839y −8503056)
2
c
2
, c
6
(y
85
+ 40y
84
+ ··· − 47871y −2916)
2
c
3
, c
5
y
170
+ 38y
169
+ ··· − 5724363y + 83521
c
4
(y
85
+ 48y
84
+ ··· − 11759565y −358801)
2
c
7
, c
12
y
170
− 39y
169
+ ··· + 50y + 1
c
8
, c
11
y
170
− 19y
169
+ ··· + 814647305408y + 7438717504
c
9
, c
10
y
170
− 26y
169
+ ··· − 21y + 1
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.707466 + 0.725533I
a = 1.376120 + 0.167394I
b = 1.098880 + 0.556764I
−3.65569 − 8.86351I 0
u = −0.707466 − 0.725533I
a = 1.376120 − 0.167394I
b = 1.098880 − 0.556764I
−3.65569 + 8.86351I 0
u = 0.717601 + 0.725477I
a = 1.63889 − 0.02492I
b = 0.727253 − 0.595148I
−4.98097 + 3.09268I 0
u = 0.717601 − 0.725477I
a = 1.63889 + 0.02492I
b = 0.727253 + 0.595148I
−4.98097 − 3.09268I 0
u = 1.022270 + 0.022586I
a = 0.78083 + 1.27743I
b = −0.238534 − 1.160670I
4.26591 + 3.51898I 0
u = 1.022270 − 0.022586I
a = 0.78083 − 1.27743I
b = −0.238534 + 1.160670I
4.26591 − 3.51898I 0
u = −1.019450 + 0.195672I
a = 0.563385 + 0.797749I
b = −0.231634 − 0.109490I
−2.29030 + 4.49704I 0
u = −1.019450 − 0.195672I
a = 0.563385 − 0.797749I
b = −0.231634 + 0.109490I
−2.29030 − 4.49704I 0
u = 1.000880 + 0.279774I
a = −0.266347 + 0.749124I
b = 0.438690 − 0.996210I
0.84379 + 6.05179I 0
u = 1.000880 − 0.279774I
a = −0.266347 − 0.749124I
b = 0.438690 + 0.996210I
0.84379 − 6.05179I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.034520 + 0.167481I
a = 0.047280 − 1.165770I
b = 0.393891 + 1.279900I
0.97875 − 3.15850I 0
u = −1.034520 − 0.167481I
a = 0.047280 + 1.165770I
b = 0.393891 − 1.279900I
0.97875 + 3.15850I 0
u = −1.051970 + 0.047768I
a = 0.60247 − 1.44862I
b = −0.124781 + 1.397230I
2.93801 − 8.48774I 0
u = −1.051970 − 0.047768I
a = 0.60247 + 1.44862I
b = −0.124781 − 1.397230I
2.93801 + 8.48774I 0
u = 0.554156 + 0.908079I
a = 1.038000 + 0.007680I
b = 0.751967 − 1.000150I
−0.22052 + 2.83304I 0
u = 0.554156 − 0.908079I
a = 1.038000 − 0.007680I
b = 0.751967 + 1.000150I
−0.22052 − 2.83304I 0
u = 0.631461 + 0.861797I
a = 1.103500 − 0.019952I
b = 1.70093 − 0.43490I
−0.40332 + 5.45093I 0
u = 0.631461 − 0.861797I
a = 1.103500 + 0.019952I
b = 1.70093 + 0.43490I
−0.40332 − 5.45093I 0
u = −0.587243 + 0.917955I
a = 1.123610 + 0.009736I
b = 0.96539 + 1.20824I
−2.48128 − 7.59677I 0
u = −0.587243 − 0.917955I
a = 1.123610 − 0.009736I
b = 0.96539 − 1.20824I
−2.48128 + 7.59677I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.902753 + 0.098594I
a = 1.59134 + 0.63848I
b = −0.605445 − 0.705869I
2.68619 + 0.42422I 0
u = 0.902753 − 0.098594I
a = 1.59134 − 0.63848I
b = −0.605445 + 0.705869I
2.68619 − 0.42422I 0
u = 0.371168 + 0.823360I
a = 0.861168 + 0.137449I
b = 2.18604 + 0.66200I
0.70779 + 6.93221I 0
u = 0.371168 − 0.823360I
a = 0.861168 − 0.137449I
b = 2.18604 − 0.66200I
0.70779 − 6.93221I 0
u = 0.872449 + 0.666991I
a = −0.782409 − 0.292912I
b = −1.263420 − 0.360431I
0.84379 + 6.05179I 0
u = 0.872449 − 0.666991I
a = −0.782409 + 0.292912I
b = −1.263420 + 0.360431I
0.84379 − 6.05179I 0
u = −0.003639 + 0.871571I
a = 0.466877 + 0.169396I
b = 1.31502 + 0.97647I
−4.83628 − 2.41052I 0
u = −0.003639 − 0.871571I
a = 0.466877 − 0.169396I
b = 1.31502 − 0.97647I
−4.83628 + 2.41052I 0
u = 0.733256 + 0.857857I
a = 1.42630 + 0.35722I
b = 1.202740 − 0.465680I
−4.98097 − 3.09268I 0
u = 0.733256 − 0.857857I
a = 1.42630 − 0.35722I
b = 1.202740 + 0.465680I
−4.98097 + 3.09268I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.861341 + 0.074963I
a = −2.07196 − 0.25460I
b = 0.041460 + 0.402922I
3.82122 − 2.58920I 0
u = 0.861341 − 0.074963I
a = −2.07196 + 0.25460I
b = 0.041460 − 0.402922I
3.82122 + 2.58920I 0
u = −0.779635 + 0.827535I
a = 1.168480 − 0.155554I
b = 1.47186 + 0.78037I
−3.55010 − 1.12219I 0
u = −0.779635 − 0.827535I
a = 1.168480 + 0.155554I
b = 1.47186 − 0.78037I
−3.55010 + 1.12219I 0
u = −0.294604 + 0.810744I
a = 0.794197 − 0.306572I
b = 2.33732 − 1.09972I
−0.95456 − 11.66910I 0
u = −0.294604 − 0.810744I
a = 0.794197 + 0.306572I
b = 2.33732 + 1.09972I
−0.95456 + 11.66910I 0
u = −0.593829 + 0.994954I
a = 1.020360 − 0.201825I
b = 1.190300 + 0.620629I
−4.32285 − 0.32478I 0
u = −0.593829 − 0.994954I
a = 1.020360 + 0.201825I
b = 1.190300 − 0.620629I
−4.32285 + 0.32478I 0
u = −0.647765 + 0.974393I
a = 1.027480 − 0.333129I
b = 1.182350 + 0.128451I
−3.53334 − 0.16345I 0
u = −0.647765 − 0.974393I
a = 1.027480 + 0.333129I
b = 1.182350 − 0.128451I
−3.53334 + 0.16345I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.607482 + 0.563434I
a = 0.71086 − 2.05895I
b = 0.612941 + 0.355423I
0.59694 − 1.80771I 0
u = −0.607482 − 0.563434I
a = 0.71086 + 2.05895I
b = 0.612941 − 0.355423I
0.59694 + 1.80771I 0
u = 0.815667 + 0.061426I
a = −1.186990 + 0.205748I
b = −0.908364 + 0.821721I
4.75469 − 1.64630I 0
u = 0.815667 − 0.061426I
a = −1.186990 − 0.205748I
b = −0.908364 − 0.821721I
4.75469 + 1.64630I 0
u = −0.541209 + 0.608679I
a = 1.288540 + 0.509810I
b = 0.433292 + 0.032030I
−3.53334 + 0.16345I 0
u = −0.541209 − 0.608679I
a = 1.288540 − 0.509810I
b = 0.433292 − 0.032030I
−3.53334 − 0.16345I 0
u = −0.066431 + 1.188580I
a = 0.847197 + 0.086267I
b = 2.47839 + 0.40279I
−3.51283 + 2.49990I 0
u = −0.066431 − 1.188580I
a = 0.847197 − 0.086267I
b = 2.47839 − 0.40279I
−3.51283 − 2.49990I 0
u = 1.189660 + 0.090780I
a = −0.363147 − 0.199928I
b = −0.386612 − 0.733232I
2.61279 + 2.50785I 0
u = 1.189660 − 0.090780I
a = −0.363147 + 0.199928I
b = −0.386612 + 0.733232I
2.61279 − 2.50785I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.061940 + 0.546792I
a = −0.046457 + 0.143672I
b = −0.687971 + 0.761937I
−0.71349 + 1.56333I 0
u = −1.061940 − 0.546792I
a = −0.046457 − 0.143672I
b = −0.687971 − 0.761937I
−0.71349 − 1.56333I 0
u = −0.900133 + 0.790123I
a = −0.936545 + 0.196359I
b = −1.61202 − 0.27579I
0.97875 − 3.15850I 0
u = −0.900133 − 0.790123I
a = −0.936545 − 0.196359I
b = −1.61202 + 0.27579I
0.97875 + 3.15850I 0
u = 0.599379 + 0.519758I
a = 1.024210 − 0.956937I
b = 0.379836 + 0.284625I
−1.80919 + 6.66685I 0
u = 0.599379 − 0.519758I
a = 1.024210 + 0.956937I
b = 0.379836 − 0.284625I
−1.80919 − 6.66685I 0
u = −0.789221 + 0.073999I
a = 1.90671 + 1.05967I
b = −0.635728 − 0.531201I
0.75825 − 5.33737I 0
u = −0.789221 − 0.073999I
a = 1.90671 − 1.05967I
b = −0.635728 + 0.531201I
0.75825 + 5.33737I 0
u = −0.779338 + 0.122535I
a = −1.97581 + 0.54803I
b = −0.227606 − 0.667752I
4.75469 − 1.64630I 0
u = −0.779338 − 0.122535I
a = −1.97581 − 0.54803I
b = −0.227606 + 0.667752I
4.75469 + 1.64630I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.687758 + 0.381500I
a = 0.214309 − 0.384876I
b = −0.09474 − 1.85409I
2.45746 + 0.35447I 0
u = 0.687758 − 0.381500I
a = 0.214309 + 0.384876I
b = −0.09474 + 1.85409I
2.45746 − 0.35447I 0
u = 1.100410 + 0.527345I
a = −1.064830 + 0.093664I
b = 0.070307 + 0.286705I
2.45746 + 0.35447I 0
u = 1.100410 − 0.527345I
a = −1.064830 − 0.093664I
b = 0.070307 − 0.286705I
2.45746 − 0.35447I 0
u = 0.713753 + 0.307830I
a = 1.62890 − 2.05386I
b = −0.579718 + 0.456755I
1.67970 + 13.09240I 0
u = 0.713753 − 0.307830I
a = 1.62890 + 2.05386I
b = −0.579718 − 0.456755I
1.67970 − 13.09240I 0
u = 0.615564 + 0.449351I
a = 1.06217 + 2.26269I
b = 0.487924 − 0.673530I
0.59694 − 1.80771I 0
u = 0.615564 − 0.449351I
a = 1.06217 − 2.26269I
b = 0.487924 + 0.673530I
0.59694 + 1.80771I 0
u = 0.512068 + 0.544018I
a = 0.940604 + 0.531165I
b = −0.075139 − 0.737408I
1.15176 + 1.61274I 0
u = 0.512068 − 0.544018I
a = 0.940604 − 0.531165I
b = −0.075139 + 0.737408I
1.15176 − 1.61274I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.742002 + 0.053382I
a = −1.54182 − 0.20863I
b = −1.35600 − 0.56285I
3.82122 − 2.58920I 0
u = −0.742002 − 0.053382I
a = −1.54182 + 0.20863I
b = −1.35600 + 0.56285I
3.82122 + 2.58920I 0
u = −1.114560 + 0.589322I
a = −1.089760 + 0.113115I
b = −0.262209 − 0.562439I
3.96463 − 5.08139I 0
u = −1.114560 − 0.589322I
a = −1.089760 − 0.113115I
b = −0.262209 + 0.562439I
3.96463 + 5.08139I 0
u = −0.672865 + 0.277833I
a = 0.580598 + 0.158676I
b = 0.44525 + 1.79406I
3.96463 − 5.08139I 0
u = −0.672865 − 0.277833I
a = 0.580598 − 0.158676I
b = 0.44525 − 1.79406I
3.96463 + 5.08139I 0
u = −0.665652 + 0.273065I
a = 1.40219 + 2.27907I
b = −0.502932 − 0.640546I
3.45688 − 7.77461I 0
u = −0.665652 − 0.273065I
a = 1.40219 − 2.27907I
b = −0.502932 + 0.640546I
3.45688 + 7.77461I 0
u = −0.299734 + 0.645509I
a = 0.304065 − 0.114949I
b = 1.44545 − 1.41454I
−2.75017 − 5.29922I 0
u = −0.299734 − 0.645509I
a = 0.304065 + 0.114949I
b = 1.44545 + 1.41454I
−2.75017 + 5.29922I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.324410 + 0.136577I
a = 0.023573 − 0.664756I
b = 0.0464696 + 0.1114620I
−3.55010 + 1.12219I 0
u = 1.324410 − 0.136577I
a = 0.023573 + 0.664756I
b = 0.0464696 − 0.1114620I
−3.55010 − 1.12219I 0
u = −0.962717 + 0.924268I
a = −0.873443 − 0.122715I
b = −1.33138 − 1.07264I
2.93801 − 8.48774I 0
u = −0.962717 − 0.924268I
a = −0.873443 + 0.122715I
b = −1.33138 + 1.07264I
2.93801 + 8.48774I 0
u = 1.173900 + 0.641465I
a = −0.530530 − 0.757496I
b = −0.827935 + 0.060846I
−3.65569 + 8.86351I 0
u = 1.173900 − 0.641465I
a = −0.530530 + 0.757496I
b = −0.827935 − 0.060846I
−3.65569 − 8.86351I 0
u = −1.166760 + 0.657000I
a = −1.148130 + 0.409265I
b = −0.680807 − 1.020770I
3.18015 − 7.10294I 0
u = −1.166760 − 0.657000I
a = −1.148130 − 0.409265I
b = −0.680807 + 1.020770I
3.18015 + 7.10294I 0
u = 0.586710 + 1.204890I
a = 0.724825 + 0.360081I
b = 1.55626 − 0.00978I
−4.83628 + 2.41052I 0
u = 0.586710 − 1.204890I
a = 0.724825 − 0.360081I
b = 1.55626 + 0.00978I
−4.83628 − 2.41052I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.658609 + 0.018940I
a = 1.106880 + 0.667417I
b = 1.23469 − 0.80461I
−1.21386 + 4.66904I 0
u = 0.658609 − 0.018940I
a = 1.106880 − 0.667417I
b = 1.23469 + 0.80461I
−1.21386 − 4.66904I 0
u = 1.146260 + 0.701642I
a = −0.949599 − 0.505932I
b = −1.013530 + 0.801829I
−1.21386 + 4.66904I 0
u = 1.146260 − 0.701642I
a = −0.949599 + 0.505932I
b = −1.013530 − 0.801829I
−1.21386 − 4.66904I 0
u = 1.186900 + 0.670882I
a = −1.189080 − 0.505118I
b = −0.80270 + 1.19367I
1.02158 + 12.06260I 0
u = 1.186900 − 0.670882I
a = −1.189080 + 0.505118I
b = −0.80270 − 1.19367I
1.02158 − 12.06260I 0
u = 0.473027 + 0.418360I
a = −2.94447 − 0.65538I
b = −0.666669 + 0.998228I
−0.66777 + 7.53403I 0
u = 0.473027 − 0.418360I
a = −2.94447 + 0.65538I
b = −0.666669 − 0.998228I
−0.66777 − 7.53403I 0
u = 1.026000 + 0.940796I
a = −0.697181 + 0.123971I
b = −1.003270 + 0.986753I
4.26591 + 3.51898I 0
u = 1.026000 − 0.940796I
a = −0.697181 − 0.123971I
b = −1.003270 − 0.986753I
4.26591 − 3.51898I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.588809 + 0.130625I
a = 1.260710 − 0.159720I
b = 1.38589 + 1.57909I
3.18015 − 7.10294I 0
u = −0.588809 − 0.130625I
a = 1.260710 + 0.159720I
b = 1.38589 − 1.57909I
3.18015 + 7.10294I 0
u = −0.608266 + 1.265690I
a = −0.003886 − 0.706107I
b = 0.230623 − 0.409008I
2.04184 + 1.83304I 0
u = −0.608266 − 1.265690I
a = −0.003886 + 0.706107I
b = 0.230623 + 0.409008I
2.04184 − 1.83304I 0
u = −1.243200 + 0.665266I
a = −0.232620 + 0.461335I
b = −0.843834 − 0.201133I
−2.29030 − 4.49704I 0
u = −1.243200 − 0.665266I
a = −0.232620 − 0.461335I
b = −0.843834 + 0.201133I
−2.29030 + 4.49704I 0
u = 1.42745
a = 0.896722
b = −1.27063
2.32609 0
u = −0.511132 + 0.226365I
a = −2.43815 + 1.37251I
b = −0.618527 − 0.926009I
2.61279 − 2.50785I 0
u = −0.511132 − 0.226365I
a = −2.43815 − 1.37251I
b = −0.618527 + 0.926009I
2.61279 + 2.50785I 0
u = 0.543382 + 0.097512I
a = 1.53419 + 0.24424I
b = 1.79468 − 1.52945I
1.02158 + 12.06260I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.543382 − 0.097512I
a = 1.53419 − 0.24424I
b = 1.79468 + 1.52945I
1.02158 − 12.06260I 0
u = 0.404547 + 0.355732I
a = −0.46334 − 1.53050I
b = −0.018967 + 1.213830I
−2.24225 + 6.74899I 0
u = 0.404547 − 0.355732I
a = −0.46334 + 1.53050I
b = −0.018967 − 1.213830I
−2.24225 − 6.74899I 0
u = −1.43830 + 0.29101I
a = −0.158780 − 0.406365I
b = 0.032128 − 0.673303I
−0.66777 + 7.53403I 0
u = −1.43830 − 0.29101I
a = −0.158780 + 0.406365I
b = 0.032128 + 0.673303I
−0.66777 − 7.53403I 0
u = −1.11753 + 0.95900I
a = −1.130530 + 0.081154I
b = −0.98735 − 1.07302I
1.67970 − 13.09240I 0
u = −1.11753 − 0.95900I
a = −1.130530 − 0.081154I
b = −0.98735 + 1.07302I
1.67970 + 13.09240I 0
u = −1.19639 + 0.86945I
a = −0.806690 + 0.451063I
b = −1.140680 − 0.570815I
−1.80919 − 6.66685I 0
u = −1.19639 − 0.86945I
a = −0.806690 − 0.451063I
b = −1.140680 + 0.570815I
−1.80919 + 6.66685I 0
u = 0.507972 + 0.091524I
a = 2.54845 + 3.12721I
b = −0.258176 − 0.964374I
2.04184 + 1.83304I 0. − 17.5757I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.507972 − 0.091524I
a = 2.54845 − 3.12721I
b = −0.258176 + 0.964374I
2.04184 − 1.83304I 0. + 17.5757I
u = −0.505847 + 0.085913I
a = 1.40722 + 3.90034I
b = −0.410751 − 0.973277I
3.34715 − 4.11663I 30.2495 + 17.8764I
u = −0.505847 − 0.085913I
a = 1.40722 − 3.90034I
b = −0.410751 + 0.973277I
3.34715 + 4.11663I 30.2495 − 17.8764I
u = −1.10509 + 1.01293I
a = 0.813822 − 0.028533I
b = 0.534994 + 1.043230I
−4.88805 − 4.07124I 0
u = −1.10509 − 1.01293I
a = 0.813822 + 0.028533I
b = 0.534994 − 1.043230I
−4.88805 + 4.07124I 0
u = 1.13172 + 0.98562I
a = −0.994479 + 0.009662I
b = −0.810147 + 0.963410I
3.45688 + 7.77461I 0
u = 1.13172 − 0.98562I
a = −0.994479 − 0.009662I
b = −0.810147 − 0.963410I
3.45688 − 7.77461I 0
u = −1.11008 + 1.03693I
a = 1.029620 − 0.123660I
b = 1.21425 + 1.46269I
−0.71242 − 13.91810I 0
u = −1.11008 − 1.03693I
a = 1.029620 + 0.123660I
b = 1.21425 − 1.46269I
−0.71242 + 13.91810I 0
u = 1.12165 + 1.03878I
a = 0.991395 + 0.072532I
b = 1.02388 − 1.52399I
1.82247 + 7.89171I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.12165 − 1.03878I
a = 0.991395 − 0.072532I
b = 1.02388 + 1.52399I
1.82247 − 7.89171I 0
u = −0.88065 + 1.27148I
a = 0.191482 − 0.421198I
b = 0.466016 − 0.610014I
0.75825 + 5.33737I 0
u = −0.88065 − 1.27148I
a = 0.191482 + 0.421198I
b = 0.466016 + 0.610014I
0.75825 − 5.33737I 0
u = 1.19746 + 0.98265I
a = 0.775288 − 0.040160I
b = 0.61263 − 1.40422I
6.06799 + 2.98106I 0
u = 1.19746 − 0.98265I
a = 0.775288 + 0.040160I
b = 0.61263 + 1.40422I
6.06799 − 2.98106I 0
u = −1.26536 + 0.91219I
a = −0.557579 + 0.309343I
b = −1.056020 − 0.308851I
−2.24225 − 6.74899I 0
u = −1.26536 − 0.91219I
a = −0.557579 − 0.309343I
b = −1.056020 + 0.308851I
−2.24225 + 6.74899I 0
u = 1.27100 + 0.94327I
a = −0.746151 − 0.440228I
b = −1.35826 + 0.90912I
−2.75017 + 5.29922I 0
u = 1.27100 − 0.94327I
a = −0.746151 + 0.440228I
b = −1.35826 − 0.90912I
−2.75017 − 5.29922I 0
u = 0.345424 + 0.123472I
a = −2.37649 − 2.26612I
b = −1.005730 + 0.946737I
−0.71349 − 1.56333I 4.16705 + 2.28191I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.345424 − 0.123472I
a = −2.37649 + 2.26612I
b = −1.005730 − 0.946737I
−0.71349 + 1.56333I 4.16705 − 2.28191I
u = −1.51604 + 0.62013I
a = −0.336207 + 0.432280I
b = −0.368399 − 0.504591I
−0.40332 − 5.45093I 0
u = −1.51604 − 0.62013I
a = −0.336207 − 0.432280I
b = −0.368399 + 0.504591I
−0.40332 + 5.45093I 0
u = −1.31351 + 0.99282I
a = 0.609220 + 0.068338I
b = 0.319377 + 1.239690I
6.06799 + 2.98106I 0
u = −1.31351 − 0.99282I
a = 0.609220 − 0.068338I
b = 0.319377 − 1.239690I
6.06799 − 2.98106I 0
u = 0.013755 + 0.331309I
a = −1.46555 + 0.75817I
b = 0.165210 − 1.124440I
−4.32285 + 0.32478I −3.42898 − 2.12669I
u = 0.013755 − 0.331309I
a = −1.46555 − 0.75817I
b = 0.165210 + 1.124440I
−4.32285 − 0.32478I −3.42898 + 2.12669I
u = 1.33022 + 1.00938I
a = −0.803246 − 0.268950I
b = −1.05262 + 1.39263I
−0.95456 + 11.66910I 0
u = 1.33022 − 1.00938I
a = −0.803246 + 0.268950I
b = −1.05262 − 1.39263I
−0.95456 − 11.66910I 0
u = −0.209057 + 0.240854I
a = 1.27634 − 3.11560I
b = −0.485328 − 0.080308I
1.15176 + 1.61274I 5.29000 − 5.55204I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.209057 − 0.240854I
a = 1.27634 + 3.11560I
b = −0.485328 + 0.080308I
1.15176 − 1.61274I 5.29000 + 5.55204I
u = −1.38265 + 0.97541I
a = −0.691094 + 0.258212I
b = −0.81570 − 1.19448I
0.70779 − 6.93221I 0
u = −1.38265 − 0.97541I
a = −0.691094 − 0.258212I
b = −0.81570 + 1.19448I
0.70779 + 6.93221I 0
u = 1.12532 + 1.29558I
a = −0.414823 + 0.308716I
b = −0.188578 + 0.500748I
3.34715 + 4.11663I 0
u = 1.12532 − 1.29558I
a = −0.414823 − 0.308716I
b = −0.188578 − 0.500748I
3.34715 − 4.11663I 0
u = 0.96190 + 1.48395I
a = −0.180895 − 0.453992I
b = −1.019240 − 0.586081I
−0.71242 − 13.91810I 0
u = 0.96190 − 1.48395I
a = −0.180895 + 0.453992I
b = −1.019240 + 0.586081I
−0.71242 + 13.91810I 0
u = 1.14070 + 1.38048I
a = −0.013619 + 0.173475I
b = −0.042976 + 0.486202I
2.68619 + 0.42422I 0
u = 1.14070 − 1.38048I
a = −0.013619 − 0.173475I
b = −0.042976 − 0.486202I
2.68619 − 0.42422I 0
u = 0.32675 + 1.77602I
a = −0.276906 + 0.027077I
b = −0.638864 − 0.031570I
−4.88805 − 4.07124I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.32675 − 1.77602I
a = −0.276906 − 0.027077I
b = −0.638864 + 0.031570I
−4.88805 + 4.07124I 0
u = 0.114810 + 0.099944I
a = −5.26466 − 2.95208I
b = −0.42295 − 1.51858I
−2.48128 + 7.59677I −3.30037 − 8.04952I
u = 0.114810 − 0.099944I
a = −5.26466 + 2.95208I
b = −0.42295 + 1.51858I
−2.48128 − 7.59677I −3.30037 + 8.04952I
u = −0.0455659 + 0.0803338I
a = −9.95410 + 0.54766I
b = −0.447487 + 1.161560I
−0.22052 − 2.83304I 1.25413 + 3.46220I
u = −0.0455659 − 0.0803338I
a = −9.95410 − 0.54766I
b = −0.447487 − 1.161560I
−0.22052 + 2.83304I 1.25413 − 3.46220I
u = −1.02590 + 1.63808I
a = −0.105323 + 0.319976I
b = −0.781786 + 0.563146I
1.82247 + 7.89171I 0
u = −1.02590 − 1.63808I
a = −0.105323 − 0.319976I
b = −0.781786 − 0.563146I
1.82247 − 7.89171I 0
u = 0.41195 + 1.93468I
a = 0.279508 + 0.142578I
b = 1.231250 + 0.201253I
−3.51283 − 2.49990I 0
u = 0.41195 − 1.93468I
a = 0.279508 − 0.142578I
b = 1.231250 − 0.201253I
−3.51283 + 2.49990I 0
u = 3.02767
a = 0.0241991
b = −0.358010
2.32609 0
29
III. I
u
3
= h1.74 × 10
110
u
45
− 1.94 × 10
110
u
44
+ · · · + 1.58 × 10
111
b − 1.73 ×
10
111
, −5.81 × 10
111
u
45
+ 4.77 × 10
111
u
44
+ · · · + 1.11 × 10
112
a + 7.13 ×
10
112
, u
46
− u
45
+ · · · − 7u + 7i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
0.523608u
45
− 0.430192u
44
+ ··· − 17.5423u − 6.43502
−0.109976u
45
+ 0.122506u
44
+ ··· + 3.53507u + 1.09342
a
12
=
0.633584u
45
− 0.552698u
44
+ ··· − 21.0774u − 7.52843
−0.109976u
45
+ 0.122506u
44
+ ··· + 3.53507u + 1.09342
a
3
=
0.637126u
45
− 0.211021u
44
+ ··· − 14.1210u − 18.9389
−0.0000153220u
45
− 0.0621569u
44
+ ··· − 1.34942u + 2.83956
a
10
=
0.560092u
45
− 0.483599u
44
+ ··· − 18.0661u − 6.87452
−0.124963u
45
+ 0.137084u
44
+ ··· + 3.90891u + 0.974956
a
5
=
0.466303u
45
− 0.0502892u
44
+ ··· − 6.82535u − 18.5444
0.0539277u
45
− 0.125118u
44
+ ··· − 2.11703u + 2.66075
a
1
=
−0.474264u
45
+ 0.519316u
44
+ ··· + 20.4149u + 2.64172
0.105379u
45
− 0.126276u
44
+ ··· − 5.27465u − 0.211973
a
2
=
0.383048u
45
− 0.170966u
44
+ ··· − 13.5914u − 11.8587
−0.0310204u
45
− 0.00853691u
44
+ ··· + 1.48342u + 2.14892
a
6
=
0.633227u
45
− 0.257110u
44
+ ··· − 18.5193u − 17.0721
−0.0566482u
45
− 0.00540781u
44
+ ··· + 0.210902u + 1.86803
a
9
=
0.160229u
45
− 0.174039u
44
+ ··· − 6.61005u + 0.185827
−0.0150516u
45
+ 0.0125663u
44
+ ··· + 2.55567u − 0.635786
(ii) Obstruction class = 1
(iii) Cusp Shapes = −0.703254u
45
+ 0.466094u
44
+ ··· + 34.0941u + 17.7324
30
(iv) u-Polynomials at the component
31
Crossings u-Polynomials at each crossing
c
1
(u
23
− 13u
22
+ ··· − 48u + 4)
2
c
2
(u
23
+ u
22
+ ··· + 2u + 2)
2
c
3
7(7u
46
+ 34u
44
+ ··· − 8u + 1)
c
4
7(7u
46
+ 76u
44
+ ··· − 2904u
2
− 3239)
c
5
7(7u
46
+ 34u
44
+ ··· + 8u + 1)
c
6
(u
23
− u
22
+ ··· + 2u − 2)
2
c
7
u
46
− u
45
+ ··· − 7u + 7
c
8
u
46
− 14u
44
+ ··· − 448u + 56
c
9
u
46
+ 6u
45
+ ··· + 6u + 1
c
10
u
46
− 6u
45
+ ··· − 6u + 1
c
11
u
46
− 14u
44
+ ··· + 448u + 56
c
12
u
46
+ u
45
+ ··· + 7u + 7
32
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
23
− 7y
22
+ ··· + 152y −16)
2
c
2
, c
6
(y
23
+ 13y
22
+ ··· − 48y −4)
2
c
3
, c
5
49(49y
46
+ 476y
45
+ ··· − 28y + 1)
c
4
49(7y
23
+ 76y
22
+ ··· − 2904y −3239)
2
c
7
, c
12
y
46
− 3y
45
+ ··· − 553y + 49
c
8
, c
11
y
46
− 28y
45
+ ··· − 22400y + 3136
c
9
, c
10
y
46
− 6y
45
+ ··· − 22y + 1
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.364394 + 0.927960I
a = 0.157939 − 1.321920I
b = 0.124649 − 0.398645I
1.99637 + 1.52649I 11.08369 + 7.89540I
u = −0.364394 − 0.927960I
a = 0.157939 + 1.321920I
b = 0.124649 + 0.398645I
1.99637 − 1.52649I 11.08369 − 7.89540I
u = −0.574618 + 0.790246I
a = 0.970956 − 0.233658I
b = 1.047370 − 0.249245I
−4.64991 − 0.97906I −4.01571 + 2.00801I
u = −0.574618 − 0.790246I
a = 0.970956 + 0.233658I
b = 1.047370 + 0.249245I
−4.64991 + 0.97906I −4.01571 − 2.00801I
u = −0.981568 + 0.321625I
a = 0.478071 − 0.631328I
b = 0.290575 + 1.199520I
1.68798 − 4.30076I 8.39887 + 6.49406I
u = −0.981568 − 0.321625I
a = 0.478071 + 0.631328I
b = 0.290575 − 1.199520I
1.68798 + 4.30076I 8.39887 − 6.49406I
u = 0.433713 + 0.815703I
a = 1.227750 − 0.053910I
b = 1.183030 − 0.163686I
−4.64991 − 0.97906I −4.01571 + 2.00801I
u = 0.433713 − 0.815703I
a = 1.227750 + 0.053910I
b = 1.183030 + 0.163686I
−4.64991 + 0.97906I −4.01571 − 2.00801I
u = 0.909437 + 0.669075I
a = −0.882197 − 0.289478I
b = −1.333570 + 0.086992I
1.68798 + 4.30076I 8.39887 − 6.49406I
u = 0.909437 − 0.669075I
a = −0.882197 + 0.289478I
b = −1.333570 − 0.086992I
1.68798 − 4.30076I 8.39887 + 6.49406I
35
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.586110 + 0.542160I
a = 0.823162 − 0.164278I
b = 0.981564 + 0.825940I
−1.89480 + 7.56478I 2.3895 − 14.8243I
u = 0.586110 − 0.542160I
a = 0.823162 + 0.164278I
b = 0.981564 − 0.825940I
−1.89480 − 7.56478I 2.3895 + 14.8243I
u = 0.034679 + 1.241010I
a = −0.744697 − 0.140896I
b = −2.46759 − 0.29735I
−3.17020 + 2.27245I 7.01519 + 0.45211I
u = 0.034679 − 1.241010I
a = −0.744697 + 0.140896I
b = −2.46759 + 0.29735I
−3.17020 − 2.27245I 7.01519 − 0.45211I
u = −1.246700 + 0.224530I
a = −0.352303 + 0.484265I
b = −0.525061 + 0.491376I
−1.15255 − 7.43014I 0. + 11.24187I
u = −1.246700 − 0.224530I
a = −0.352303 − 0.484265I
b = −0.525061 − 0.491376I
−1.15255 + 7.43014I 0. − 11.24187I
u = −0.174557 + 0.695258I
a = −0.347438 − 0.841944I
b = 1.138180 − 0.607574I
2.22203 + 6.73517I 6.37975 − 4.77522I
u = −0.174557 − 0.695258I
a = −0.347438 + 0.841944I
b = 1.138180 + 0.607574I
2.22203 − 6.73517I 6.37975 + 4.77522I
u = 0.544023 + 0.455561I
a = 1.86183 + 0.89731I
b = 0.647386 − 1.168610I
−1.15255 + 7.43014I 0.10244 − 11.24187I
u = 0.544023 − 0.455561I
a = 1.86183 − 0.89731I
b = 0.647386 + 1.168610I
−1.15255 − 7.43014I 0.10244 + 11.24187I
36
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.352247 + 0.525488I
a = 0.956622 + 0.645346I
b = 1.51872 − 0.59314I
−2.24740 − 5.48764I 4.87090 + 6.72746I
u = −0.352247 − 0.525488I
a = 0.956622 − 0.645346I
b = 1.51872 + 0.59314I
−2.24740 + 5.48764I 4.87090 − 6.72746I
u = 1.40588
a = −0.864369
b = 1.15450
2.35695 113.740
u = 1.02240 + 1.01173I
a = −0.612938 + 0.312370I
b = −0.290732 + 0.456249I
3.11469 + 3.97191I 0
u = 1.02240 − 1.01173I
a = −0.612938 − 0.312370I
b = −0.290732 − 0.456249I
3.11469 − 3.97191I 0
u = 1.15264 + 0.86563I
a = −1.011300 − 0.186030I
b = −0.753227 + 1.145390I
2.22203 + 6.73517I 0
u = 1.15264 − 0.86563I
a = −1.011300 + 0.186030I
b = −0.753227 − 1.145390I
2.22203 − 6.73517I 0
u = −1.18884 + 0.83065I
a = −1.078130 + 0.333273I
b = −0.88277 − 1.25897I
0.26816 − 11.94840I 0
u = −1.18884 − 0.83065I
a = −1.078130 − 0.333273I
b = −0.88277 + 1.25897I
0.26816 + 11.94840I 0
u = 0.016935 + 0.536666I
a = −0.01726 + 1.46129I
b = 1.65557 + 0.56649I
0.26816 − 11.94840I 2.54259 + 10.09660I
37
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.016935 − 0.536666I
a = −0.01726 − 1.46129I
b = 1.65557 − 0.56649I
0.26816 + 11.94840I 2.54259 − 10.09660I
u = −1.05517 + 1.03118I
a = −0.723916 − 0.153920I
b = −0.115381 − 0.874969I
−4.75506 − 4.44410I 0
u = −1.05517 − 1.03118I
a = −0.723916 + 0.153920I
b = −0.115381 + 0.874969I
−4.75506 + 4.44410I 0
u = −1.25677 + 0.84768I
a = −0.784133 + 0.522451I
b = −1.20940 − 0.84141I
−2.24740 − 5.48764I 0
u = −1.25677 − 0.84768I
a = −0.784133 − 0.522451I
b = −1.20940 + 0.84141I
−2.24740 + 5.48764I 0
u = −0.472964 + 0.033897I
a = −1.82809 + 2.53432I
b = 0.373690 − 1.090790I
3.11469 + 3.97191I 3.19252 − 1.47300I
u = −0.472964 − 0.033897I
a = −1.82809 − 2.53432I
b = 0.373690 + 1.090790I
3.11469 − 3.97191I 3.19252 + 1.47300I
u = 1.30096 + 0.84220I
a = −0.596835 − 0.499243I
b = −1.125490 + 0.508696I
−1.89480 + 7.56478I 0
u = 1.30096 − 0.84220I
a = −0.596835 + 0.499243I
b = −1.125490 − 0.508696I
−1.89480 − 7.56478I 0
u = 0.366293 + 0.033494I
a = −3.53374 + 4.32627I
b = 0.084444 − 0.851387I
1.99637 − 1.52649I 11.08369 − 7.89540I
38
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.366293 − 0.033494I
a = −3.53374 − 4.32627I
b = 0.084444 + 0.851387I
1.99637 + 1.52649I 11.08369 + 7.89540I
u = 0.29488 + 1.68151I
a = −0.260760 − 0.135198I
b = −1.51239 − 0.32667I
−3.17020 − 2.27245I 0
u = 0.29488 − 1.68151I
a = −0.260760 + 0.135198I
b = −1.51239 + 0.32667I
−3.17020 + 2.27245I 0
u = −0.56441 + 1.82448I
a = 0.125878 + 0.114541I
b = 0.419461 + 0.056238I
−4.75506 − 4.44410I 0
u = −0.56441 − 1.82448I
a = 0.125878 − 0.114541I
b = 0.419461 − 0.056238I
−4.75506 + 4.44410I 0
u = 2.73445
a = −0.0782825
b = 0.347439
2.35695 0
39
IV. I
u
4
= h−u
8
+ 2u
6
+ 2u
5
− u
4
− u
3
− 4u
2
+ b + 3, −u
8
+ 2u
6
+ 2u
5
− u
4
−
u
3
− 4u
2
+ a + 4, u
9
+ u
8
+ · · · − u − 1i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
u
8
− 2u
6
− 2u
5
+ u
4
+ u
3
+ 4u
2
− 4
u
8
− 2u
6
− 2u
5
+ u
4
+ u
3
+ 4u
2
− 3
a
12
=
−1
u
8
− 2u
6
− 2u
5
+ u
4
+ u
3
+ 4u
2
− 3
a
3
=
−4u
8
− 3u
7
+ 4u
6
+ 10u
5
+ 6u
4
+ 5u
3
− 11u
2
− 8u + 4
−3u
8
− 2u
7
+ 3u
6
+ 7u
5
+ 4u
4
+ 4u
3
− 8u
2
− 4u + 3
a
10
=
0
u
8
− 2u
6
− 2u
5
+ u
4
+ u
3
+ 4u
2
− 4
a
5
=
0
u
a
1
=
−1
u
8
− 2u
6
− 2u
5
+ u
4
+ u
3
+ 5u
2
− 3
a
2
=
−12u
8
− 3u
7
+ 16u
6
+ 26u
5
+ 4u
4
+ 5u
3
− 44u
2
− 8u + 19
−4u
8
− 2u
7
+ 4u
6
+ 9u
5
+ 4u
4
+ 5u
3
− 12u
2
− 4u + 4
a
6
=
4u
8
+ 3u
7
− 4u
6
− 10u
5
− 6u
4
− 5u
3
+ 11u
2
+ 8u − 4
4u
8
+ 2u
7
− 4u
6
− 9u
5
− 4u
4
− 4u
3
+ 12u
2
+ 4u − 5
a
9
=
−u
8
+ 2u
6
+ 2u
5
− u
4
− u
3
− 4u
2
+ 4
−2u
8
+ 3u
6
+ 4u
5
− 9u
2
− u + 4
(ii) Obstruction class = 1
(iii) Cusp Shapes = −28u
8
− u
7
+ 45u
6
+ 57u
5
− 7u
4
− 4u
3
− 109u
2
− 4u + 64
40
(iv) u-Polynomials at the component
41
Crossings u-Polynomials at each crossing
c
1
u
9
− 5u
8
+ 13u
7
− 18u
6
+ 12u
5
+ 3u
4
− 12u
3
+ 10u
2
− 4u + 1
c
2
u
9
+ u
8
+ 3u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ 1
c
3
u
9
+ u
8
− 3u
7
− 3u
6
+ u
5
+ 2u
4
+ 3u
3
+ u
2
− u − 1
c
4
u
9
c
5
u
9
− u
8
− 3u
7
+ 3u
6
+ u
5
− 2u
4
+ 3u
3
− u
2
− u + 1
c
6
u
9
− u
8
+ 3u
7
− 2u
6
+ 4u
5
− 3u
4
+ 2u
3
− 2u
2
− 1
c
7
u
9
+ u
8
− u
7
− 3u
6
− 2u
5
− u
4
+ 3u
3
+ 3u
2
− u − 1
c
8
u
9
− 2u
8
− 3u
7
+ 6u
6
+ 4u
5
− 7u
4
− 2u
3
+ 4u
2
+ u − 1
c
9
u
9
+ 7u
8
+ 17u
7
+ 13u
6
− 9u
5
− 16u
4
− 3u
3
+ 3u
2
+ 3u + 1
c
10
u
9
− 7u
8
+ 17u
7
− 13u
6
− 9u
5
+ 16u
4
− 3u
3
− 3u
2
+ 3u − 1
c
11
u
9
+ 2u
8
− 3u
7
− 6u
6
+ 4u
5
+ 7u
4
− 2u
3
− 4u
2
+ u + 1
c
12
u
9
− u
8
− u
7
+ 3u
6
− 2u
5
+ u
4
+ 3u
3
− 3u
2
− u + 1
42
43
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
9
+ y
8
+ 13y
7
− 6y
6
+ 32y
5
− 31y
4
+ 24y
3
− 10y
2
− 4y − 1
c
2
, c
6
y
9
+ 5y
8
+ 13y
7
+ 18y
6
+ 12y
5
− 3y
4
− 12y
3
− 10y
2
− 4y − 1
c
3
, c
5
y
9
− 7y
8
+ 17y
7
− 13y
6
− 9y
5
+ 16y
4
− 3y
3
− 3y
2
+ 3y − 1
c
4
y
9
c
7
, c
12
y
9
− 3y
8
+ 3y
7
+ 3y
6
− 16y
5
+ 9y
4
+ 13y
3
− 17y
2
+ 7y − 1
c
8
, c
11
y
9
− 10y
8
+ 41y
7
− 92y
6
+ 130y
5
− 123y
4
+ 80y
3
− 34y
2
+ 9y − 1
c
9
, c
10
y
9
− 15y
8
+ 89y
7
− 257y
6
+ 359y
5
− 192y
4
+ 25y
3
+ 5y
2
+ 3y − 1
44
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.123876 + 1.145400I
a = 0.735991 − 0.161080I
b = 1.73599 − 0.16108I
−5.14657 − 1.15296I −9.08558 − 1.07056I
u = −0.123876 − 1.145400I
a = 0.735991 + 0.161080I
b = 1.73599 + 0.16108I
−5.14657 + 1.15296I −9.08558 + 1.07056I
u = 0.762208 + 0.080791I
a = −1.66434 + 0.35683I
b = −0.664341 + 0.356834I
4.15634 − 0.57166I 12.47240 − 4.89892I
u = 0.762208 − 0.080791I
a = −1.66434 − 0.35683I
b = −0.664341 − 0.356834I
4.15634 + 0.57166I 12.47240 + 4.89892I
u = −0.681649 + 0.048720I
a = −2.11947 − 0.30453I
b = −1.119470 − 0.304531I
2.64932 − 3.16170I 11.2708 + 8.9542I
u = −0.681649 − 0.048720I
a = −2.11947 + 0.30453I
b = −1.119470 + 0.304531I
2.64932 + 3.16170I 11.2708 − 8.9542I
u = −1.163090 + 0.768685I
a = −0.201679 − 0.473322I
b = 0.798321 − 0.473322I
−1.15114 + 5.45727I −3.97184 − 7.60742I
u = −1.163090 − 0.768685I
a = −0.201679 + 0.473322I
b = 0.798321 + 0.473322I
−1.15114 − 5.45727I −3.97184 + 7.60742I
u = 1.41281
a = −0.500997
b = 0.499003
2.27396 24.6280
45
V. I
u
5
= hb − 1, a − 1, u
2
+ u + 1i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
u + 1
a
11
=
1
1
a
12
=
0
1
a
3
=
−u
0
a
10
=
u + 1
0
a
5
=
u + 1
u
a
1
=
u
0
a
2
=
u
0
a
6
=
1
0
a
9
=
u + 1
u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0
46
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
6
u
2
c
3
, c
5
, c
7
c
9
, c
10
, c
12
u
2
+ u + 1
c
4
, c
8
, c
11
(u + 1)
2
47
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
y
2
c
3
, c
5
, c
7
c
9
, c
10
, c
12
y
2
+ y + 1
c
4
, c
8
, c
11
(y − 1)
2
48
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 1.00000
b = 1.00000
−3.28987 0
u = −0.500000 − 0.866025I
a = 1.00000
b = 1.00000
−3.28987 0
49
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
2
(u
9
− 5u
8
+ 13u
7
− 18u
6
+ 12u
5
+ 3u
4
− 12u
3
+ 10u
2
− 4u + 1)
· ((u
23
− 13u
22
+ ··· − 48u + 4)
2
)(u
50
+ 26u
49
+ ··· + 10532u + 1296)
· (u
85
+ 40u
84
+ ··· − 47871u − 2916)
2
c
2
u
2
(u
9
+ u
8
+ 3u
7
+ 2u
6
+ 4u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ 1)
· ((u
23
+ u
22
+ ··· + 2u + 2)
2
)(u
50
− 4u
49
+ ··· − 94u + 36)
· (u
85
+ 20u
83
+ ··· − 81u − 54)
2
c
3
49(u
2
+ u + 1)(u
9
+ u
8
− 3u
7
− 3u
6
+ u
5
+ 2u
4
+ 3u
3
+ u
2
− u − 1)
· (7u
46
+ 34u
44
+ ··· − 8u + 1)(7u
50
− u
49
+ ··· − u + 1)
· (u
170
+ 19u
168
+ ··· − 253u + 289)
c
4
49u
9
(u + 1)
2
(7u
46
+ 76u
44
+ ··· − 2904u
2
− 3239)
· (7u
50
− 29u
49
+ ··· − 10240u + 2048)
· (u
85
+ 2u
84
+ ··· − 787u − 599)
2
c
5
49(u
2
+ u + 1)(u
9
− u
8
− 3u
7
+ 3u
6
+ u
5
− 2u
4
+ 3u
3
− u
2
− u + 1)
· (7u
46
+ 34u
44
+ ··· + 8u + 1)(7u
50
− u
49
+ ··· − u + 1)
· (u
170
+ 19u
168
+ ··· − 253u + 289)
c
6
u
2
(u
9
− u
8
+ 3u
7
− 2u
6
+ 4u
5
− 3u
4
+ 2u
3
− 2u
2
− 1)
· ((u
23
− u
22
+ ··· + 2u − 2)
2
)(u
50
− 4u
49
+ ··· − 94u + 36)
· (u
85
+ 20u
83
+ ··· − 81u − 54)
2
c
7
(u
2
+ u + 1)(u
9
+ u
8
− u
7
− 3u
6
− 2u
5
− u
4
+ 3u
3
+ 3u
2
− u − 1)
· (u
46
− u
45
+ ··· − 7u + 7)(u
50
+ u
49
+ ··· − 13u + 7)
· (u
170
− 3u
169
+ ··· − 4u + 1)
c
8
(u + 1)
2
(u
9
− 2u
8
− 3u
7
+ 6u
6
+ 4u
5
− 7u
4
− 2u
3
+ 4u
2
+ u − 1)
· (u
46
− 14u
44
+ ··· − 448u + 56)(u
50
− 12u
49
+ ··· − 800u + 56)
· (u
170
+ 7u
169
+ ··· − 1269144u + 86248)
c
9
(u
2
+ u + 1)(u
9
+ 7u
8
+ ··· + 3u + 1)
· (u
46
+ 6u
45
+ ··· + 6u + 1)(u
50
− 7u
49
+ ··· + 3u + 1)
· (u
170
− 4u
169
+ ··· − 53u − 1)
c
10
(u
2
+ u + 1)(u
9
− 7u
8
+ ··· + 3u − 1)
· (u
46
− 6u
45
+ ··· − 6u + 1)(u
50
− 7u
49
+ ··· + 3u + 1)
· (u
170
− 4u
169
+ ··· − 53u − 1)
c
11
(u + 1)
2
(u
9
+ 2u
8
− 3u
7
− 6u
6
+ 4u
5
+ 7u
4
− 2u
3
− 4u
2
+ u + 1)
· (u
46
− 14u
44
+ ··· + 448u + 56)(u
50
− 12u
49
+ ··· − 800u + 56)
· (u
170
+ 7u
169
+ ··· − 1269144u + 86248)
c
12
(u
2
+ u + 1)(u
9
− u
8
− u
7
+ 3u
6
− 2u
5
+ u
4
+ 3u
3
− 3u
2
− u + 1)
· (u
46
+ u
45
+ ··· + 7u + 7)(u
50
+ u
49
+ ··· − 13u + 7)
· (u
170
− 3u
169
+ ··· − 4u + 1)
50
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
2
(y
9
+ y
8
+ 13y
7
− 6y
6
+ 32y
5
− 31y
4
+ 24y
3
− 10y
2
− 4y − 1)
· (y
23
− 7y
22
+ ··· + 152y − 16)
2
· (y
50
− 2y
49
+ ··· + 8736656y + 1679616)
· (y
85
+ 12y
84
+ ··· − 81349839y − 8503056)
2
c
2
, c
6
y
2
(y
9
+ 5y
8
+ 13y
7
+ 18y
6
+ 12y
5
− 3y
4
− 12y
3
− 10y
2
− 4y − 1)
· ((y
23
+ 13y
22
+ ··· − 48y − 4)
2
)(y
50
+ 26y
49
+ ··· + 10532y + 1296)
· (y
85
+ 40y
84
+ ··· − 47871y − 2916)
2
c
3
, c
5
2401(y
2
+ y + 1)
· (y
9
− 7y
8
+ 17y
7
− 13y
6
− 9y
5
+ 16y
4
− 3y
3
− 3y
2
+ 3y − 1)
· (49y
46
+ 476y
45
+ ··· − 28y + 1)(49y
50
− 771y
49
+ ··· + 7y + 1)
· (y
170
+ 38y
169
+ ··· − 5724363y + 83521)
c
4
2401y
9
(y − 1)
2
(7y
23
+ 76y
22
+ ··· − 2904y − 3239)
2
· (49y
50
− 379y
49
+ ··· + 130023424y + 4194304)
· (y
85
+ 48y
84
+ ··· − 11759565y − 358801)
2
c
7
, c
12
(y
2
+ y + 1)(y
9
− 3y
8
+ ··· + 7y − 1)
· (y
46
− 3y
45
+ ··· − 553y + 49)(y
50
+ 11y
49
+ ··· + 545y + 49)
· (y
170
− 39y
169
+ ··· + 50y + 1)
c
8
, c
11
(y − 1)
2
· (y
9
− 10y
8
+ 41y
7
− 92y
6
+ 130y
5
− 123y
4
+ 80y
3
− 34y
2
+ 9y − 1)
· (y
46
− 28y
45
+ ··· − 22400y + 3136)
· (y
50
+ 2y
49
+ ··· + 69184y + 3136)
· (y
170
− 19y
169
+ ··· + 814647305408y + 7438717504)
c
9
, c
10
(y
2
+ y + 1)
· (y
9
− 15y
8
+ 89y
7
− 257y
6
+ 359y
5
− 192y
4
+ 25y
3
+ 5y
2
+ 3y − 1)
· (y
46
− 6y
45
+ ··· − 22y + 1)(y
50
+ 3y
49
+ ··· − 13y + 1)
· (y
170
− 26y
169
+ ··· − 21y + 1)
51
