12a
1117
(K12a
1117
)
A knot diagram
1
Linearized knot diagam
4 7 12 11 8 3 10 1 6 5 2 9
Solving Sequence
2,7 3,12
4 1 6 11 5 10 8 9
c
2
c
3
c
1
c
6
c
11
c
4
c
10
c
7
c
8
c
5
, c
9
, c
12
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
= h−1774u
14
+ 1315u
13
+ ··· + 8515b + 4857, 421u
14
− 2705u
13
+ ··· + 17030a + 2712,
u
15
− u
14
+ 4u
13
− 3u
12
+ 9u
11
− 7u
10
+ 8u
9
− 4u
8
+ 2u
7
− 2u
5
+ 11u
4
+ 7u
3
− 2u
2
+ 4u − 2i
I
u
2
= h1.02239 × 10
93
u
49
− 2.36989 × 10
93
u
48
+ ··· + 2.27314 × 10
94
b − 4.69141 × 10
94
,
− 2.13211 × 10
95
u
49
+ 7.59053 × 10
95
u
48
+ ··· + 2.84142 × 10
96
a + 4.71518 × 10
97
,
u
50
− 3u
49
+ ··· − 957u + 125i
I
u
3
= h−1.28305 × 10
63
au
37
− 2.62014 × 10
63
u
37
+ ··· + 2.14337 × 10
64
a + 3.87045 × 10
64
,
− 7.13697 × 10
65
au
37
− 1.84375 × 10
66
u
37
+ ··· − 1.34162 × 10
67
a − 3.37015 × 10
66
,
2u
38
− 3u
37
+ ··· + 21u + 17i
I
u
4
= hu
7
+ u
6
+ 3u
5
+ 2u
4
− u
2
a + 3u
3
+ u
2
+ b − a + u + 1,
− 2u
7
a − 2u
6
a − u
7
− 7u
5
a − u
6
− 5u
4
a − 2u
5
− 8u
3
a − u
4
− 3u
2
a + a
2
− 3au + u
2
+ u + 1,
u
9
+ u
8
+ 4u
7
+ 3u
6
+ 6u
5
+ 3u
4
+ 4u
3
+ u
2
+ u − 1i
I
u
5
= h−2u
4
a + u
5
− 4u
3
a − 7u
2
a − u
3
− 4au − 4u
2
+ b − a − 3u,
13u
5
a + 13u
4
a + 30u
5
+ 26u
3
a + 37u
4
+ 13u
2
a + 86u
3
+ 13a
2
+ 13au + 48u
2
+ 26a + 65u + 38,
u
6
+ 2u
5
+ 4u
4
+ 4u
3
+ 4u
2
+ 3u + 1i
I
u
6
= h−u
2
a + b − 1, 2u
5
a − u
5
+ 4u
3
a − 2u
2
a − 2u
3
+ a
2
+ u
2
− a, u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1i
I
u
7
= h2u
5
− 5u
4
− 4u
2
a + 3u
3
− 4au − 6u
2
+ 8b − 5u − 9, −212u
5
a + 110u
5
+ ··· + 34a + 133,
2u
6
+ u
5
+ 4u
4
+ 3u
3
+ 5u
2
+ 1i
I
u
8
= hu
2
+ b − u + 1, a + u, u
3
− u
2
+ 2u − 1i
I
u
9
= hu
6
− 4u
5
+ 8u
4
− 11u
3
+ 9u
2
+ b − 5u + 3, −3u
7
+ 10u
6
− 17u
5
+ 18u
4
− 7u
3
− u
2
+ 2a + u − 4,
u
8
− 4u
7
+ 9u
6
− 14u
5
+ 15u
4
− 13u
3
+ 9u
2
− 4u + 2i
* 9 irreducible components of dim
C
= 0, with total 206 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
= h−1774u
14
+ 1315u
13
+ · · · + 8515b + 4857, 421u
14
− 2705u
13
+ · · · +
17030a + 2712, u
15
− u
14
+ · · · + 4u − 2i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
−0.0247211u
14
+ 0.158837u
13
+ ··· + 2.48984u − 0.159248
0.208338u
14
− 0.154433u
13
+ ··· − 0.364416u − 0.570405
a
4
=
0.135828u
14
− 0.284588u
13
+ ··· − 3.28945u + 1.66278
−0.208338u
14
+ 0.154433u
13
+ ··· + 0.364416u + 0.570405
a
1
=
0.0588961u
14
+ 0.355549u
13
+ ··· + 2.50757u − 0.858133
0.0723429u
14
− 0.142689u
13
+ ··· − 1.52225u + 0.130006
a
6
=
u
u
3
+ u
a
11
=
0.183617u
14
+ 0.00440399u
13
+ ··· + 2.12543u − 0.729654
0.208338u
14
− 0.154433u
13
+ ··· − 0.364416u − 0.570405
a
5
=
−0.251732u
14
+ 0.169407u
13
+ ··· + 1.00317u + 0.923429
−0.0823253u
14
+ 0.186729u
13
+ ··· + 1.93036u − 0.503464
a
10
=
0.285203u
14
− 0.493541u
13
+ ··· − 1.60681u + 1.50523
−0.188021u
14
+ 0.100998u
13
+ ··· + 1.46412u − 0.367234
a
8
=
0.0650029u
14
+ 0.00733999u
13
+ ··· + 1.10135u − 1.26224
0.279859u
14
− 0.352319u
13
+ ··· − 0.664827u + 0.387669
a
9
=
−0.349442u
14
+ 0.433059u
13
+ ··· + 2.19507u − 1.38004
0.350206u
14
− 0.486201u
13
+ ··· − 0.505461u + 0.242983
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
1436398
1439035
u
14
+
520186
287807
u
13
+ ··· +
10729646
1439035
u −
16780726
1439035
3
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
15
+ 3u
12
+ ··· + 40u + 13
c
2
, c
6
, c
8
c
12
u
15
+ u
14
+ ··· + 4u + 2
c
3
, c
9
13(13u
15
+ 127u
14
+ ··· + 224u + 64)
c
4
, c
10
13(13u
15
+ 127u
14
+ ··· + 672u + 64)
4
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
15
+ 18y
13
+ ··· + 768y −169
c
2
, c
6
, c
8
c
12
y
15
+ 7y
14
+ ··· + 8y −4
c
3
, c
9
169(169y
15
− 425y
14
+ ··· + 13312y −4096)
c
4
, c
10
169(169y
15
+ 1265y
14
+ ··· + 35840y −4096)
5
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.038030 + 0.415186I
a = −0.107387 + 0.237703I
b = −1.18691 + 0.94003I
−6.76596 + 8.23973I −12.44890 − 5.51988I
u = 1.038030 − 0.415186I
a = −0.107387 − 0.237703I
b = −1.18691 − 0.94003I
−6.76596 − 8.23973I −12.44890 + 5.51988I
u = −0.818246 + 0.256414I
a = 0.119221 + 0.079347I
b = −0.746763 − 0.703405I
−1.27634 − 4.00007I −9.95322 + 5.67504I
u = −0.818246 − 0.256414I
a = 0.119221 − 0.079347I
b = −0.746763 + 0.703405I
−1.27634 + 4.00007I −9.95322 − 5.67504I
u = −0.582500 + 1.172270I
a = −0.726702 − 0.702424I
b = 0.232232 + 1.055820I
5.94870 + 3.89270I 1.63186 − 3.82155I
u = −0.582500 − 1.172270I
a = −0.726702 + 0.702424I
b = 0.232232 − 1.055820I
5.94870 − 3.89270I 1.63186 + 3.82155I
u = −0.630803 + 1.198390I
a = 0.37453 + 1.69980I
b = 0.879361 − 0.931227I
4.1064 + 14.7431I −5.12518 − 11.18062I
u = −0.630803 − 1.198390I
a = 0.37453 − 1.69980I
b = 0.879361 + 0.931227I
4.1064 − 14.7431I −5.12518 + 11.18062I
u = 0.053320 + 0.620675I
a = −1.04030 + 1.99312I
b = −0.984982 − 0.608770I
−3.34242 − 5.61099I −7.68675 + 5.73270I
u = 0.053320 − 0.620675I
a = −1.04030 − 1.99312I
b = −0.984982 + 0.608770I
−3.34242 + 5.61099I −7.68675 − 5.73270I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.501612 + 1.316920I
a = −0.603038 + 0.494954I
b = 0.696809 − 1.108770I
3.12015 − 0.43357I −3.52219 − 1.71416I
u = 0.501612 − 1.316920I
a = −0.603038 − 0.494954I
b = 0.696809 + 1.108770I
3.12015 + 0.43357I −3.52219 + 1.71416I
u = 0.73808 + 1.30226I
a = 0.33381 − 1.50205I
b = 1.32262 + 1.06232I
−1.3169 − 21.4322I −8.08580 + 10.72948I
u = 0.73808 − 1.30226I
a = 0.33381 + 1.50205I
b = 1.32262 − 1.06232I
−1.3169 + 21.4322I −8.08580 − 10.72948I
u = 0.401015
a = 1.22281
b = −0.424742
−0.947362 −10.6110
7
II. I
u
2
= h1.02 × 10
93
u
49
− 2.37 × 10
93
u
48
+ · · · + 2.27 × 10
94
b − 4.69 ×
10
94
, −2.13 × 10
95
u
49
+ 7.59 × 10
95
u
48
+ · · · + 2.84 × 10
96
a + 4.72 ×
10
97
, u
50
− 3u
49
+ · · · − 957u + 125i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
0.0750367u
49
− 0.267139u
48
+ ··· + 114.350u − 16.5944
−0.0449772u
49
+ 0.104256u
48
+ ··· − 10.0854u + 2.06385
a
4
=
−0.105135u
49
+ 0.507258u
48
+ ··· − 294.562u + 45.6110
−0.00353631u
49
+ 0.0153181u
48
+ ··· − 2.87629u + 0.356571
a
1
=
−0.0323039u
49
+ 0.0449478u
48
+ ··· + 25.2923u − 1.57484
0.00276577u
49
− 0.00285242u
48
+ ··· + 1.62853u − 0.570441
a
6
=
u
u
3
+ u
a
11
=
0.0300595u
49
− 0.162882u
48
+ ··· + 104.264u − 14.5306
−0.0449772u
49
+ 0.104256u
48
+ ··· − 10.0854u + 2.06385
a
5
=
−0.0372083u
49
+ 0.116277u
48
+ ··· − 56.4918u + 7.97128
0.00465181u
49
+ 0.0233411u
48
+ ··· − 27.6371u + 4.65104
a
10
=
0.0165108u
49
− 0.00455519u
48
+ ··· + 10.6297u − 5.71548
0.0727039u
49
− 0.145011u
48
+ ··· − 14.2364u + 3.75744
a
8
=
−0.0355511u
49
+ 0.0403247u
48
+ ··· + 33.8998u − 5.13149
−0.0608665u
49
+ 0.155509u
48
+ ··· − 32.2651u + 3.01319
a
9
=
−0.0112339u
49
+ 0.0339683u
48
+ ··· − 48.1295u + 11.0302
−0.0250331u
49
+ 0.0529219u
48
+ ··· + 19.3755u − 4.09822
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3.05039u
49
− 8.14878u
48
+ ··· + 2125.58u − 268.153
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
50
− u
49
+ ··· + 20u + 4
c
2
, c
6
, c
8
c
12
u
50
+ 3u
49
+ ··· + 957u + 125
c
3
, c
9
(u
25
− 7u
23
+ ··· + u + 1)
2
c
4
, c
10
(u
25
+ u
24
+ ··· − 8u + 8)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
50
− 11y
49
+ ··· + 448y + 16
c
2
, c
6
, c
8
c
12
y
50
+ 19y
49
+ ··· − 73349y + 15625
c
3
, c
9
(y
25
− 14y
24
+ ··· − 13y −1)
2
c
4
, c
10
(y
25
− 7y
24
+ ··· − 1312y −64)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.962281 + 0.315271I
a = 0.039372 − 0.397643I
b = 0.810487 + 0.733899I
1.42815 − 8.97153I −6.72568 + 8.57221I
u = −0.962281 − 0.315271I
a = 0.039372 + 0.397643I
b = 0.810487 − 0.733899I
1.42815 + 8.97153I −6.72568 − 8.57221I
u = 0.493412 + 0.847894I
a = −2.46208 − 4.61887I
b = −0.114573 + 0.136054I
0.0113486 −289.859 + 0.I
u = 0.493412 − 0.847894I
a = −2.46208 + 4.61887I
b = −0.114573 − 0.136054I
0.0113486 −289.859 + 0.I
u = 0.946964 + 0.384547I
a = 0.712275 − 0.392895I
b = 0.985125 + 0.661648I
−0.15061 − 5.36191I −7.12834 + 6.24088I
u = 0.946964 − 0.384547I
a = 0.712275 + 0.392895I
b = 0.985125 − 0.661648I
−0.15061 + 5.36191I −7.12834 − 6.24088I
u = 0.601348 + 0.838260I
a = 0.208165 + 1.190200I
b = −1.55792 + 0.01038I
−5.63520 − 2.36394I −15.9843 + 4.4825I
u = 0.601348 − 0.838260I
a = 0.208165 − 1.190200I
b = −1.55792 − 0.01038I
−5.63520 + 2.36394I −15.9843 − 4.4825I
u = 0.313305 + 0.881758I
a = 0.70859 + 2.12070I
b = −1.95477 − 0.19516I
−3.73498 − 1.36050I −1.10822 − 1.97856I
u = 0.313305 − 0.881758I
a = 0.70859 − 2.12070I
b = −1.95477 + 0.19516I
−3.73498 + 1.36050I −1.10822 + 1.97856I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.249090 + 1.047960I
a = −0.63091 + 1.48019I
b = 0.739655 − 0.926973I
1.45153 − 5.02987I −7.30473 + 4.45843I
u = 0.249090 − 1.047960I
a = −0.63091 − 1.48019I
b = 0.739655 + 0.926973I
1.45153 + 5.02987I −7.30473 − 4.45843I
u = −0.242281 + 1.086980I
a = 0.759622 + 0.980906I
b = −0.117932 − 0.819072I
3.28228 − 1.03639I −2.01858 + 2.13545I
u = −0.242281 − 1.086980I
a = 0.759622 − 0.980906I
b = −0.117932 + 0.819072I
3.28228 + 1.03639I −2.01858 − 2.13545I
u = −0.170002 + 0.849577I
a = 0.47091 − 1.81641I
b = −1.269920 + 0.483777I
−0.954576 + 1.006090I −21.6904 − 0.7850I
u = −0.170002 − 0.849577I
a = 0.47091 + 1.81641I
b = −1.269920 − 0.483777I
−0.954576 − 1.006090I −21.6904 + 0.7850I
u = 0.706085 + 0.894642I
a = 0.713820 − 0.553959I
b = 0.571998 + 0.140311I
−1.32757 − 2.72807I −8.00000 + 0.I
u = 0.706085 − 0.894642I
a = 0.713820 + 0.553959I
b = 0.571998 − 0.140311I
−1.32757 + 2.72807I −8.00000 + 0.I
u = −1.180310 + 0.078417I
a = 0.213834 − 0.613152I
b = −0.103922 − 0.683562I
−5.63520 − 2.36394I −15.9843 + 4.4825I
u = −1.180310 − 0.078417I
a = 0.213834 + 0.613152I
b = −0.103922 + 0.683562I
−5.63520 + 2.36394I −15.9843 − 4.4825I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.074692 + 1.200860I
a = 0.686373 − 1.101630I
b = −0.622763 + 1.268480I
−0.15061 + 5.36191I −8.00000 + 0.I
u = 0.074692 − 1.200860I
a = 0.686373 + 1.101630I
b = −0.622763 − 1.268480I
−0.15061 − 5.36191I −8.00000 + 0.I
u = 0.390389 + 1.160270I
a = −0.14604 − 1.82543I
b = 1.58187 + 0.79235I
4.19376 − 8.71277I 0
u = 0.390389 − 1.160270I
a = −0.14604 + 1.82543I
b = 1.58187 − 0.79235I
4.19376 + 8.71277I 0
u = −0.743476 + 0.164819I
a = 0.655758 + 0.108650I
b = 0.589628 − 0.786025I
3.28228 + 1.03639I −2.01858 − 2.13545I
u = −0.743476 − 0.164819I
a = 0.655758 − 0.108650I
b = 0.589628 + 0.786025I
3.28228 − 1.03639I −2.01858 + 2.13545I
u = 1.223420 + 0.291121I
a = 0.061981 − 0.257278I
b = −0.148168 + 0.319622I
−0.954576 − 1.006090I 0
u = 1.223420 − 0.291121I
a = 0.061981 + 0.257278I
b = −0.148168 − 0.319622I
−0.954576 + 1.006090I 0
u = −0.535150 + 1.155570I
a = −0.24384 − 1.72241I
b = −0.855287 + 1.021820I
1.42815 + 8.97153I 0
u = −0.535150 − 1.155570I
a = −0.24384 + 1.72241I
b = −0.855287 − 1.021820I
1.42815 − 8.97153I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372106 + 1.237480I
a = 0.11902 + 1.61329I
b = 1.05126 − 1.02792I
7.40741 + 4.94924I 0
u = −0.372106 − 1.237480I
a = 0.11902 − 1.61329I
b = 1.05126 + 1.02792I
7.40741 − 4.94924I 0
u = 1.291650 + 0.403695I
a = 0.1203380 + 0.0039571I
b = 1.09552 − 0.98588I
−4.2488 + 14.3474I 0
u = 1.291650 − 0.403695I
a = 0.1203380 − 0.0039571I
b = 1.09552 + 0.98588I
−4.2488 − 14.3474I 0
u = 0.755348 + 1.140700I
a = −0.389887 + 0.934449I
b = −0.466731 − 0.418496I
1.45153 − 5.02987I 0
u = 0.755348 − 1.140700I
a = −0.389887 − 0.934449I
b = −0.466731 + 0.418496I
1.45153 + 5.02987I 0
u = 0.659409 + 1.203940I
a = −0.32021 + 1.67118I
b = −1.41005 − 1.08673I
−4.2488 − 14.3474I 0
u = 0.659409 − 1.203940I
a = −0.32021 − 1.67118I
b = −1.41005 + 1.08673I
−4.2488 + 14.3474I 0
u = 0.072477 + 0.606484I
a = −1.03463 − 2.22816I
b = 1.400570 − 0.171399I
1.57283 + 6.25459I −7.09425 − 6.20570I
u = 0.072477 − 0.606484I
a = −1.03463 + 2.22816I
b = 1.400570 + 0.171399I
1.57283 − 6.25459I −7.09425 + 6.20570I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14698 + 1.41040I
a = −0.494719 − 0.953376I
b = 0.309442 + 0.752193I
7.40741 − 4.94924I 0
u = −0.14698 − 1.41040I
a = −0.494719 + 0.953376I
b = 0.309442 − 0.752193I
7.40741 + 4.94924I 0
u = −0.49243 + 1.50322I
a = −0.041335 − 1.053700I
b = −0.64704 + 1.29841I
1.57283 + 6.25459I 0
u = −0.49243 − 1.50322I
a = −0.041335 + 1.053700I
b = −0.64704 − 1.29841I
1.57283 − 6.25459I 0
u = 0.334545 + 0.056281I
a = 0.80170 + 1.41679I
b = 0.121420 − 0.744450I
−1.32757 − 2.72807I −5.71643 + 1.76366I
u = 0.334545 − 0.056281I
a = 0.80170 − 1.41679I
b = 0.121420 + 0.744450I
−1.32757 + 2.72807I −5.71643 − 1.76366I
u = −1.69246 + 0.17139I
a = 0.0901819 − 0.0534982I
b = −0.077041 − 1.057990I
−3.73498 + 1.36050I 0
u = −1.69246 − 0.17139I
a = 0.0901819 + 0.0534982I
b = −0.077041 + 1.057990I
−3.73498 − 1.36050I 0
u = −0.07465 + 1.74368I
a = −0.202288 + 0.850448I
b = 0.589151 − 1.273730I
4.19376 + 8.71277I 0
u = −0.07465 − 1.74368I
a = −0.202288 − 0.850448I
b = 0.589151 + 1.273730I
4.19376 − 8.71277I 0
15
III. I
u
3
= h−1.28 × 10
63
au
37
− 2.62 × 10
63
u
37
+ · · · + 2.14 × 10
64
a + 3.87 ×
10
64
, −7.14 × 10
65
au
37
− 1.84 × 10
66
u
37
+ · · · − 1.34 × 10
67
a − 3.37 ×
10
66
, 2u
38
− 3u
37
+ · · · + 21u + 17i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
a
0.106339au
37
+ 0.217158u
37
+ ··· − 1.77643a − 3.20783
a
4
=
−0.0534232au
37
− 0.392917u
37
+ ··· + 4.95562a + 7.59732
−0.0962820au
37
− 0.180215u
37
+ ··· + 0.906877a + 0.780461
a
1
=
0.216255au
37
+ 1.23930u
37
+ ··· − 3.28167a − 6.64201
0.129769au
37
+ 0.552372u
37
+ ··· − 0.715136a + 1.66440
a
6
=
u
u
3
+ u
a
11
=
0.106339au
37
+ 0.217158u
37
+ ··· − 0.776427a − 3.20783
0.106339au
37
+ 0.217158u
37
+ ··· − 1.77643a − 3.20783
a
5
=
−0.182671au
37
− 0.726160u
37
+ ··· + 2.16849a + 1.45704
−0.201850au
37
− 0.513458u
37
+ ··· − 1.55270a − 5.35982
a
10
=
0.208991au
37
+ 0.272662u
37
+ ··· + 1.92898a + 7.20364
−0.152476au
37
− 0.486462u
37
+ ··· − 0.903884a − 0.470790
a
8
=
0.0694187au
37
+ 0.849176u
37
+ ··· + 1.65114a + 15.0369
0.149109au
37
+ 0.212456u
37
+ ··· + 2.61168a + 8.33710
a
9
=
−0.361467au
37
− 0.529227u
37
+ ··· − 2.83287a − 7.65774
0.0845476au
37
+ 0.366409u
37
+ ··· + 0.172876a − 0.233667
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.432764u
37
+ 1.23037u
36
+ ··· + 6.30892u − 4.51753
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
8(8u
76
− 90u
75
+ ··· − 4995u + 404)
c
2
, c
6
, c
8
c
12
4(2u
38
+ 3u
37
+ ··· − 21u + 17)
2
c
3
, c
9
4(2u
38
− 9u
37
+ ··· − 13u + 4)
2
c
4
, c
10
(u
19
− 2u
18
+ ··· − 2u − 1)
4
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
64(64y
76
− 980y
75
+ ··· + 3.63279 × 10
7
y + 163216)
c
2
, c
6
, c
8
c
12
16(4y
38
+ 79y
37
+ ··· + 2959y + 289)
2
c
3
, c
9
16(4y
38
− 41y
37
+ ··· + 455y + 16)
2
c
4
, c
10
(y
19
+ 14y
18
+ ··· − 12y −1)
4
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.933781 + 0.188280I
a = 0.105927 − 0.244777I
b = 0.996480 + 0.475628I
−3.98037 − 6.82755I −13.3540 + 7.7872I
u = 0.933781 + 0.188280I
a = 1.66297 − 0.60548I
b = 1.020730 − 0.881690I
−3.98037 − 6.82755I −13.3540 + 7.7872I
u = 0.933781 − 0.188280I
a = 0.105927 + 0.244777I
b = 0.996480 − 0.475628I
−3.98037 + 6.82755I −13.3540 − 7.7872I
u = 0.933781 − 0.188280I
a = 1.66297 + 0.60548I
b = 1.020730 + 0.881690I
−3.98037 + 6.82755I −13.3540 − 7.7872I
u = −0.841472 + 0.653374I
a = 0.752367 + 0.071132I
b = 0.723212 − 0.165375I
−5.48019 − 0.95946I −12.64933 + 6.06203I
u = −0.841472 + 0.653374I
a = 0.567301 − 0.269566I
b = −1.17778 − 1.01022I
−5.48019 − 0.95946I −12.64933 + 6.06203I
u = −0.841472 − 0.653374I
a = 0.752367 − 0.071132I
b = 0.723212 + 0.165375I
−5.48019 + 0.95946I −12.64933 − 6.06203I
u = −0.841472 − 0.653374I
a = 0.567301 + 0.269566I
b = −1.17778 + 1.01022I
−5.48019 + 0.95946I −12.64933 − 6.06203I
u = −0.238086 + 1.064410I
a = 0.84928 − 1.97193I
b = −0.621321 + 0.096741I
−0.683516 + 0.134674I −44.7966 + 5.0465I
u = −0.238086 + 1.064410I
a = 0.75401 + 3.11833I
b = 0.67703 − 3.51919I
−0.683516 + 0.134674I −44.7966 + 5.0465I
19
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.238086 − 1.064410I
a = 0.84928 + 1.97193I
b = −0.621321 − 0.096741I
−0.683516 − 0.134674I −44.7966 − 5.0465I
u = −0.238086 − 1.064410I
a = 0.75401 − 3.11833I
b = 0.67703 + 3.51919I
−0.683516 − 0.134674I −44.7966 − 5.0465I
u = −0.451308 + 1.024490I
a = −0.994335 − 0.336778I
b = 1.34197 + 0.76243I
3.04788 + 7.94026I −5.67778 − 8.73922I
u = −0.451308 + 1.024490I
a = 0.20407 + 2.17558I
b = 0.849227 − 0.506240I
3.04788 + 7.94026I −5.67778 − 8.73922I
u = −0.451308 − 1.024490I
a = −0.994335 + 0.336778I
b = 1.34197 − 0.76243I
3.04788 − 7.94026I −5.67778 + 8.73922I
u = −0.451308 − 1.024490I
a = 0.20407 − 2.17558I
b = 0.849227 + 0.506240I
3.04788 − 7.94026I −5.67778 + 8.73922I
u = −0.164628 + 0.845374I
a = −0.00863 − 1.55753I
b = −1.182560 + 0.237229I
−0.960450 + 0.995893I −22.4768 + 4.8360I
u = −0.164628 + 0.845374I
a = 0.65453 − 2.29406I
b = −1.28491 + 0.97049I
−0.960450 + 0.995893I −22.4768 + 4.8360I
u = −0.164628 − 0.845374I
a = −0.00863 + 1.55753I
b = −1.182560 − 0.237229I
−0.960450 − 0.995893I −22.4768 − 4.8360I
u = −0.164628 − 0.845374I
a = 0.65453 + 2.29406I
b = −1.28491 − 0.97049I
−0.960450 − 0.995893I −22.4768 − 4.8360I
20
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.387448 + 0.760260I
a = 0.799892 + 1.003770I
b = 0.656168 − 0.504400I
0.870499 −6 − 0.711363 + 0.10I
u = 0.387448 + 0.760260I
a = 0.31579 + 3.04596I
b = −0.339800 − 0.571117I
0.870499 −6 − 0.711363 + 0.10I
u = 0.387448 − 0.760260I
a = 0.799892 − 1.003770I
b = 0.656168 + 0.504400I
0.870499 −6 − 0.711363 + 0.10I
u = 0.387448 − 0.760260I
a = 0.31579 − 3.04596I
b = −0.339800 + 0.571117I
0.870499 −6 − 0.711363 + 0.10I
u = −0.691562 + 0.955412I
a = 0.773137 + 0.346408I
b = 0.912754 − 0.175817I
−5.10643 + 7.48293I −16.6971 + 0.1409I
u = −0.691562 + 0.955412I
a = −0.59549 − 1.96308I
b = −1.14924 + 1.13513I
−5.10643 + 7.48293I −16.6971 + 0.1409I
u = −0.691562 − 0.955412I
a = 0.773137 − 0.346408I
b = 0.912754 + 0.175817I
−5.10643 − 7.48293I −16.6971 − 0.1409I
u = −0.691562 − 0.955412I
a = −0.59549 + 1.96308I
b = −1.14924 − 1.13513I
−5.10643 − 7.48293I −16.6971 − 0.1409I
u = −0.579481 + 0.522431I
a = 0.756320 − 0.086240I
b = 1.033740 + 0.466854I
1.60053 − 3.89157I −6.73539 + 3.20239I
u = −0.579481 + 0.522431I
a = 0.326000 + 1.349790I
b = 0.670506 − 0.673943I
1.60053 − 3.89157I −6.73539 + 3.20239I
21
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.579481 − 0.522431I
a = 0.756320 + 0.086240I
b = 1.033740 − 0.466854I
1.60053 + 3.89157I −6.73539 − 3.20239I
u = −0.579481 − 0.522431I
a = 0.326000 − 1.349790I
b = 0.670506 + 0.673943I
1.60053 + 3.89157I −6.73539 − 3.20239I
u = 0.464150 + 1.141220I
a = 0.377184 − 0.948532I
b = 0.427638 + 0.869189I
1.60053 − 3.89157I −6.73539 + 3.20239I
u = 0.464150 + 1.141220I
a = 0.00672 + 1.63598I
b = −0.702040 − 0.840906I
1.60053 − 3.89157I −6.73539 + 3.20239I
u = 0.464150 − 1.141220I
a = 0.377184 + 0.948532I
b = 0.427638 − 0.869189I
1.60053 + 3.89157I −6.73539 − 3.20239I
u = 0.464150 − 1.141220I
a = 0.00672 − 1.63598I
b = −0.702040 + 0.840906I
1.60053 + 3.89157I −6.73539 − 3.20239I
u = −0.078564 + 0.734152I
a = −1.82765 − 0.47145I
b = −1.066650 + 0.247416I
−2.27547 + 1.37800I −13.7043 + 11.8554I
u = −0.078564 + 0.734152I
a = −3.31675 + 0.89532I
b = 2.28139 + 0.16151I
−2.27547 + 1.37800I −13.7043 + 11.8554I
u = −0.078564 − 0.734152I
a = −1.82765 + 0.47145I
b = −1.066650 − 0.247416I
−2.27547 − 1.37800I −13.7043 − 11.8554I
u = −0.078564 − 0.734152I
a = −3.31675 − 0.89532I
b = 2.28139 − 0.16151I
−2.27547 − 1.37800I −13.7043 − 11.8554I
22
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.217610 + 0.400666I
a = 0.061911 − 0.276258I
b = −0.403567 + 0.531246I
−0.960450 − 0.995893I −22.4768 − 4.8360I
u = 1.217610 + 0.400666I
a = −0.018240 − 0.249708I
b = 0.0231783 + 0.0766993I
−0.960450 − 0.995893I −22.4768 − 4.8360I
u = 1.217610 − 0.400666I
a = 0.061911 + 0.276258I
b = −0.403567 − 0.531246I
−0.960450 + 0.995893I −22.4768 + 4.8360I
u = 1.217610 − 0.400666I
a = −0.018240 + 0.249708I
b = 0.0231783 − 0.0766993I
−0.960450 + 0.995893I −22.4768 + 4.8360I
u = −0.684894 + 1.116340I
a = 0.244232 + 0.901332I
b = 0.605222 − 0.113978I
−3.98037 + 6.82755I −13.3540 − 7.7872I
u = −0.684894 + 1.116340I
a = −0.47970 − 1.66374I
b = −1.34951 + 1.38337I
−3.98037 + 6.82755I −13.3540 − 7.7872I
u = −0.684894 − 1.116340I
a = 0.244232 − 0.901332I
b = 0.605222 + 0.113978I
−3.98037 − 6.82755I −13.3540 + 7.7872I
u = −0.684894 − 1.116340I
a = −0.47970 + 1.66374I
b = −1.34951 − 1.38337I
−3.98037 − 6.82755I −13.3540 + 7.7872I
u = 0.472980 + 1.273040I
a = −1.083340 + 0.850013I
b = 1.25572 − 2.03182I
0.24331 − 11.58260I −10.0452 + 12.8873I
u = 0.472980 + 1.273040I
a = −0.14464 − 1.65325I
b = 1.111690 + 0.814575I
0.24331 − 11.58260I −10.0452 + 12.8873I
23
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.472980 − 1.273040I
a = −1.083340 − 0.850013I
b = 1.25572 + 2.03182I
0.24331 + 11.58260I −10.0452 − 12.8873I
u = 0.472980 − 1.273040I
a = −0.14464 + 1.65325I
b = 1.111690 − 0.814575I
0.24331 + 11.58260I −10.0452 − 12.8873I
u = 0.415391 + 0.371674I
a = −0.077211 + 0.485024I
b = −1.193300 − 0.317780I
−5.48019 − 0.95946I −12.64933 + 6.06203I
u = 0.415391 + 0.371674I
a = −0.19604 + 3.65151I
b = −0.700809 + 0.707029I
−5.48019 − 0.95946I −12.64933 + 6.06203I
u = 0.415391 − 0.371674I
a = −0.077211 − 0.485024I
b = −1.193300 + 0.317780I
−5.48019 + 0.95946I −12.64933 − 6.06203I
u = 0.415391 − 0.371674I
a = −0.19604 − 3.65151I
b = −0.700809 − 0.707029I
−5.48019 + 0.95946I −12.64933 − 6.06203I
u = 0.66811 + 1.30895I
a = −0.124125 + 0.886577I
b = −0.581113 − 0.898459I
3.04788 − 7.94026I 0. + 8.73922I
u = 0.66811 + 1.30895I
a = 0.37947 − 1.36441I
b = 0.915693 + 0.869626I
3.04788 − 7.94026I 0. + 8.73922I
u = 0.66811 − 1.30895I
a = −0.124125 − 0.886577I
b = −0.581113 + 0.898459I
3.04788 + 7.94026I 0. − 8.73922I
u = 0.66811 − 1.30895I
a = 0.37947 + 1.36441I
b = 0.915693 − 0.869626I
3.04788 + 7.94026I 0. − 8.73922I
24
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.05019 + 1.50715I
a = 0.316592 − 0.369647I
b = −0.363340 + 0.534895I
−2.27547 − 1.37800I −8.0000 − 11.8554I
u = −0.05019 + 1.50715I
a = −0.135074 + 0.270106I
b = −1.63871 − 0.37783I
−2.27547 − 1.37800I −8.0000 − 11.8554I
u = −0.05019 − 1.50715I
a = 0.316592 + 0.369647I
b = −0.363340 − 0.534895I
−2.27547 + 1.37800I −8.0000 + 11.8554I
u = −0.05019 − 1.50715I
a = −0.135074 − 0.270106I
b = −1.63871 + 0.37783I
−2.27547 + 1.37800I −8.0000 + 11.8554I
u = −0.318640 + 0.315167I
a = −0.497138 + 0.197173I
b = 1.224620 + 0.605125I
−5.10643 − 7.48293I −16.6971 − 0.1409I
u = −0.318640 + 0.315167I
a = −2.28528 − 6.21614I
b = −0.462579 − 0.551068I
−5.10643 − 7.48293I −16.6971 − 0.1409I
u = −0.318640 − 0.315167I
a = −0.497138 − 0.197173I
b = 1.224620 − 0.605125I
−5.10643 + 7.48293I −16.6971 + 0.1409I
u = −0.318640 − 0.315167I
a = −2.28528 + 6.21614I
b = −0.462579 + 0.551068I
−5.10643 + 7.48293I −16.6971 + 0.1409I
u = −0.90740 + 1.34164I
a = 0.502665 + 1.271280I
b = 1.52315 − 1.14474I
0.24331 + 11.58260I 0
u = −0.90740 + 1.34164I
a = −0.063019 − 0.545231I
b = −0.499985 + 0.225728I
0.24331 + 11.58260I 0
25
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.90740 − 1.34164I
a = 0.502665 − 1.271280I
b = 1.52315 + 1.14474I
0.24331 − 11.58260I 0
u = −0.90740 − 1.34164I
a = −0.063019 + 0.545231I
b = −0.499985 − 0.225728I
0.24331 − 11.58260I 0
u = 1.19676 + 1.43800I
a = 0.254543 − 0.172702I
b = 1.72483 − 0.60927I
−0.683516 + 0.134674I 0
u = 1.19676 + 1.43800I
a = −0.0755994 − 0.1194610I
b = 0.367275 + 0.034882I
−0.683516 + 0.134674I 0
u = 1.19676 − 1.43800I
a = 0.254543 + 0.172702I
b = 1.72483 + 0.60927I
−0.683516 − 0.134674I 0
u = 1.19676 − 1.43800I
a = −0.0755994 + 0.1194610I
b = 0.367275 − 0.034882I
−0.683516 − 0.134674I 0
26
IV.
I
u
4
= hu
7
+ u
6
+ · · · − a + 1, −2u
7
a − u
7
+ · · · + a
2
+ 1, u
9
+ u
8
+ · · · + u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
a
−u
7
− u
6
− 3u
5
− 2u
4
+ u
2
a − 3u
3
− u
2
+ a − u − 1
a
4
=
u
7
a + u
7
+ ··· − a − u
u
7
+ u
6
+ 3u
5
+ 2u
4
− u
2
a + 3u
3
+ u
2
− a + u + 1
a
1
=
u
5
+ u
4
+ 2u
3
+ 2u
2
+ u
−u
7
− u
6
− 4u
5
− 2u
4
− 5u
3
− u
2
+ a − 2u
a
6
=
u
u
3
+ u
a
11
=
−u
7
− u
6
− 3u
5
− 2u
4
+ u
2
a − 3u
3
− u
2
+ 2a − u − 1
−u
7
− u
6
− 3u
5
− 2u
4
+ u
2
a − 3u
3
− u
2
+ a − u − 1
a
5
=
u
6
a + 3u
4
a − u
4
+ 3u
2
a − 2u
2
+ a − 1
−u
7
a − 3u
5
a + u
5
− 3u
3
a + 3u
3
− au + 2u
a
10
=
u
8
a − u
8
+ ··· + a − 1
−2u
8
− 2u
7
− 7u
6
− 5u
5
+ u
3
a − 8u
4
− 3u
3
+ 2au − 3u
2
− u
a
8
=
−u
8
a − u
7
a + ··· − a + 1
u
5
+ 2u
3
+ u
a
9
=
−u
8
a − u
7
a + ··· − a + 1
u
8
+ u
7
+ 4u
6
+ 3u
5
+ 5u
4
+ 3u
3
− au + 2u
2
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3u
8
− 3u
7
+ 5u
6
− 9u
5
+ u
4
− 11u
3
− u
2
− 4u − 8
27
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
18
− 2u
16
+ ··· + 3u + 1
c
2
, c
6
, c
8
c
12
(u
9
− u
8
+ 4u
7
− 3u
6
+ 6u
5
− 3u
4
+ 4u
3
− u
2
+ u + 1)
2
c
3
, c
9
u
18
+ 18u
17
+ ··· + 3245u + 341
c
4
, c
10
(u
9
+ 7u
8
+ 26u
7
+ 65u
6
+ 117u
5
+ 156u
4
+ 153u
3
+ 104u
2
+ 44u + 8)
2
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
18
− 4y
17
+ ··· − 13y + 1
c
2
, c
6
, c
8
c
12
(y
9
+ 7y
8
+ 22y
7
+ 41y
6
+ 50y
5
+ 43y
4
+ 28y
3
+ 13y
2
+ 3y − 1)
2
c
3
, c
9
y
18
− 8y
17
+ ··· − 386639y + 116281
c
4
, c
10
(y
9
+ 3y
8
− 19y
6
− 3y
5
+ 122y
4
+ 217y
3
+ 152y
2
+ 272y −64)
2
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.398448 + 0.968200I
a = −0.745696 − 0.848220I
b = −0.854163 + 0.434423I
1.60321 − 3.32200I −5.77768 + 4.12286I
u = 0.398448 + 0.968200I
a = 0.11677 − 2.36965I
b = 0.510610 + 0.763099I
1.60321 − 3.32200I −5.77768 + 4.12286I
u = 0.398448 − 0.968200I
a = −0.745696 + 0.848220I
b = −0.854163 − 0.434423I
1.60321 + 3.32200I −5.77768 − 4.12286I
u = 0.398448 − 0.968200I
a = 0.11677 + 2.36965I
b = 0.510610 − 0.763099I
1.60321 + 3.32200I −5.77768 − 4.12286I
u = −0.666324 + 0.608477I
a = 0.346923 − 0.044949I
b = −1.25702 − 0.77747I
−5.98602 − 2.30983I −14.3464 − 0.9539I
u = −0.666324 + 0.608477I
a = 0.99037 + 1.47199I
b = 0.663942 + 0.329578I
−5.98602 − 2.30983I −14.3464 − 0.9539I
u = −0.666324 − 0.608477I
a = 0.346923 + 0.044949I
b = −1.25702 + 0.77747I
−5.98602 + 2.30983I −14.3464 + 0.9539I
u = −0.666324 − 0.608477I
a = 0.99037 − 1.47199I
b = 0.663942 − 0.329578I
−5.98602 + 2.30983I −14.3464 + 0.9539I
u = −0.476469 + 1.156270I
a = −0.940419 − 0.249560I
b = −1.081930 + 0.165023I
−2.37939 + 11.33830I −9.50041 − 9.03145I
u = −0.476469 + 1.156270I
a = −0.03837 + 1.88565I
b = 1.17159 − 1.06364I
−2.37939 + 11.33830I −9.50041 − 9.03145I
30
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.476469 − 1.156270I
a = −0.940419 + 0.249560I
b = −1.081930 − 0.165023I
−2.37939 − 11.33830I −9.50041 + 9.03145I
u = −0.476469 − 1.156270I
a = −0.03837 − 1.88565I
b = 1.17159 + 1.06364I
−2.37939 − 11.33830I −9.50041 + 9.03145I
u = 0.042040 + 1.329950I
a = −0.552978 − 1.253290I
b = 0.840916 + 1.085570I
8.05824 − 2.68902I −0.59414 + 2.37109I
u = 0.042040 + 1.329950I
a = −0.40514 + 1.35626I
b = 0.435716 − 0.899445I
8.05824 − 2.68902I −0.59414 + 2.37109I
u = 0.042040 − 1.329950I
a = −0.552978 + 1.253290I
b = 0.840916 − 1.085570I
8.05824 + 2.68902I −0.59414 − 2.37109I
u = 0.042040 − 1.329950I
a = −0.40514 − 1.35626I
b = 0.435716 + 0.899445I
8.05824 + 2.68902I −0.59414 − 2.37109I
u = 0.404608
a = 1.228540 + 0.066002I
b = −0.429661 + 0.076807I
−0.947124 −10.5630
u = 0.404608
a = 1.228540 − 0.066002I
b = −0.429661 − 0.076807I
−0.947124 −10.5630
31
V. I
u
5
= h−2u
4
a + u
5
+ · · · + b − a, 13u
5
a + 30u
5
+ · · · + 26a + 38, u
6
+
2u
5
+ 4u
4
+ 4u
3
+ 4u
2
+ 3u + 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
a
2u
4
a − u
5
+ 4u
3
a + 7u
2
a + u
3
+ 4au + 4u
2
+ a + 3u
a
4
=
−u
4
a +
12
13
u
5
+ ··· − 2a −
3
13
−2u
4
a + u
5
− 4u
3
a − 7u
2
a − u
3
− 4au − 4u
2
− a − 3u
a
1
=
4u
4
a − u
5
+ 8u
3
a + u
4
+ 14u
2
a + 4u
3
+ 10au + 10u
2
+ 4a + 9u + 4
2u
4
a + 2u
3
a + 2u
4
+ 2u
2
a + 3u
3
− 2au + 4u
2
− a − 1
a
6
=
u
u
3
+ u
a
11
=
2u
4
a − u
5
+ 4u
3
a + 7u
2
a + u
3
+ 4au + 4u
2
+ 2a + 3u
2u
4
a − u
5
+ 4u
3
a + 7u
2
a + u
3
+ 4au + 4u
2
+ a + 3u
a
5
=
−u
4
a − 2u
5
− 5u
4
− u
2
a − 8u
3
+ 3au − 8u
2
− 4u − 3
u
5
a + u
5
+ u
3
a − 3u
2
a + u
3
− 2u
2
a
10
=
u
5
a + 2u
4
a + 3u
5
+ 2u
3
a + 6u
4
+ 10u
3
− 3au + 8u
2
− a + 4u + 3
−2u
5
a − 4u
4
a − u
5
− 7u
3
a − 2u
4
− 4u
2
a − 5u
3
− 2au − 3u
2
− 2u + 1
a
8
=
−u
5
a − 2u
4
a + u
5
− 6u
3
a + u
4
− 6u
2
a + u
3
− 6au − u
2
− a − u + 2
−4u
5
a − 6u
4
a − 3u
5
− 10u
3
a − 6u
4
− 4u
2
a − 10u
3
− 2au − 6u
2
− 3u
a
9
=
3u
5
a + 4u
5
+ ··· − a + 3
−2u
5
a − 4u
4
a − u
5
− 8u
3
a − 3u
4
− 6u
2
a − 6u
3
− 3au − 6u
2
− 4u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −5u
5
− 11u
4
− 18u
3
− 17u
2
− 14u − 19
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
12
− u
11
+ ··· − 13u + 13
c
2
, c
8
(u
6
+ 2u
5
+ 4u
4
+ 4u
3
+ 4u
2
+ 3u + 1)
2
c
3
, c
9
13(13u
12
+ 91u
11
+ ··· + 5u + 1)
c
4
, c
10
13(13u
12
+ 87u
10
+ 256u
8
+ 425u
6
+ 421u
4
+ 238u
2
+ 61)
c
6
, c
12
(u
6
− 2u
5
+ 4u
4
− 4u
3
+ 4u
2
− 3u + 1)
2
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
12
− 7y
11
+ ··· − 481y + 169
c
2
, c
6
, c
8
c
12
(y
6
+ 4y
5
+ 8y
4
+ 6y
3
− y + 1)
2
c
3
, c
9
169(169y
12
− 1287y
11
+ ··· + 41y + 1)
c
4
, c
10
169(13y
6
+ 87y
5
+ 256y
4
+ 425y
3
+ 421y
2
+ 238y + 61)
2
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.223320 + 1.036320I
a = −1.054300 + 0.349489I
b = 0.906550 − 0.648865I
−1.79977 − 1.80437I −6.99003 + 2.02804I
u = 0.223320 + 1.036320I
a = −0.731524 + 0.362071I
b = −1.192890 − 0.194862I
−1.79977 − 1.80437I −6.99003 + 2.02804I
u = 0.223320 − 1.036320I
a = −1.054300 − 0.349489I
b = 0.906550 + 0.648865I
−1.79977 + 1.80437I −6.99003 − 2.02804I
u = 0.223320 − 1.036320I
a = −0.731524 − 0.362071I
b = −1.192890 + 0.194862I
−1.79977 + 1.80437I −6.99003 − 2.02804I
u = −0.611193 + 0.252291I
a = 0.095072 − 0.963329I
b = −1.174740 − 0.641074I
−5.52799 + 0.11750I −13.95132 − 1.57219I
u = −0.611193 + 0.252291I
a = −1.61916 + 0.56017I
b = −0.946006 + 0.582992I
−5.52799 + 0.11750I −13.95132 − 1.57219I
u = −0.611193 − 0.252291I
a = 0.095072 + 0.963329I
b = −1.174740 + 0.641074I
−5.52799 − 0.11750I −13.95132 + 1.57219I
u = −0.611193 − 0.252291I
a = −1.61916 − 0.56017I
b = −0.946006 − 0.582992I
−5.52799 − 0.11750I −13.95132 + 1.57219I
u = −0.61213 + 1.28861I
a = −0.362386 − 0.369516I
b = 0.661869 + 0.930238I
0.74802 + 10.49240I −6.55865 − 5.60633I
u = −0.61213 + 1.28861I
a = 0.17229 + 1.54394I
b = 1.24522 − 0.96602I
0.74802 + 10.49240I −6.55865 − 5.60633I
35
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.61213 − 1.28861I
a = −0.362386 + 0.369516I
b = 0.661869 − 0.930238I
0.74802 − 10.49240I −6.55865 + 5.60633I
u = −0.61213 − 1.28861I
a = 0.17229 − 1.54394I
b = 1.24522 + 0.96602I
0.74802 − 10.49240I −6.55865 + 5.60633I
36
VI. I
u
6
= h−u
2
a + b − 1, 2u
5
a − u
5
+ 4u
3
a − 2u
2
a − 2u
3
+ a
2
+ u
2
− a, u
6
+
u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
a
u
2
a + 1
a
4
=
a + 1
u
2
a + u
2
+ 1
a
1
=
−u
2
a − 2u
2
+ a − 1
−u
4
a − 2u
4
− 3u
2
− 1
a
6
=
u
u
3
+ u
a
11
=
u
2
a + a + 1
u
2
a + 1
a
5
=
−u
5
a − 2u
3
a + u
4
− au + 2u
2
+ 1
−u
5
a − u
4
a − 2u
3
a + u
4
− u
2
a − au + 3u
2
− a + 1
a
10
=
−u
5
− u
4
− 3u
3
+ au − 2u
2
− u − 1
−2u
5
+ u
3
a − 2u
4
− 5u
3
+ au − 4u
2
− 2u − 2
a
8
=
u
5
− u
3
a + u
4
+ u
3
+ 2u
2
− u + 1
−u
5
a − u
3
a + 2u
4
+ u
3
− au + 4u
2
+ 2
a
9
=
u
5
+ u
4
+ 3u
3
− au + 2u
2
+ 1
2u
5
− u
3
a + 2u
4
+ 4u
3
− au + 4u
2
+ u + 2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8u
5
− 20u
3
+ 8u
2
− 6
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
12
− 5u
11
+ ··· − 2u
2
+ 1
c
2
, c
6
, c
8
c
12
(u
6
− u
5
+ 3u
4
− 2u
3
+ 2u
2
− u + 1)
2
c
3
, c
9
(u − 1)
12
c
4
, c
10
(u
6
− 3u
5
+ 7u
4
− 10u
3
+ 10u
2
− 7u + 3)
2
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
12
− 13y
11
+ ··· − 4y + 1
c
2
, c
6
, c
8
c
12
(y
6
+ 5y
5
+ 9y
4
+ 8y
3
+ 6y
2
+ 3y + 1)
2
c
3
, c
9
(y −1)
12
c
4
, c
10
(y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.616765 + 0.580357I
a = 0.544838 − 0.055244I
b = 0.984198 − 0.392451I
−5.47714 + 7.89459I −16.2322 − 13.0010I
u = −0.616765 + 0.580357I
a = −1.71430 − 2.72817I
b = −1.02778 + 1.10834I
−5.47714 + 7.89459I −16.2322 − 13.0010I
u = −0.616765 − 0.580357I
a = 0.544838 + 0.055244I
b = 0.984198 + 0.392451I
−5.47714 − 7.89459I −16.2322 + 13.0010I
u = −0.616765 − 0.580357I
a = −1.71430 + 2.72817I
b = −1.02778 − 1.10834I
−5.47714 − 7.89459I −16.2322 + 13.0010I
u = 0.291649 + 0.757555I
a = 0.481815 + 0.128539I
b = 0.707675 + 0.150071I
0.61390 − 2.86500I −3.08446 + 9.10702I
u = 0.291649 + 0.757555I
a = 0.76975 + 1.90677I
b = −0.218844 − 0.591951I
0.61390 − 2.86500I −3.08446 + 9.10702I
u = 0.291649 − 0.757555I
a = 0.481815 − 0.128539I
b = 0.707675 − 0.150071I
0.61390 + 2.86500I −3.08446 − 9.10702I
u = 0.291649 − 0.757555I
a = 0.76975 − 1.90677I
b = −0.218844 + 0.591951I
0.61390 + 2.86500I −3.08446 − 9.10702I
u = −0.17488 + 1.44407I
a = −0.773826 − 0.196115I
b = 2.49097 + 0.79382I
−0.071556 − 0.690245I −14.6833 + 10.6130I
u = −0.17488 + 1.44407I
a = 0.691715 − 0.029516I
b = −0.436212 − 0.288729I
−0.071556 − 0.690245I −14.6833 + 10.6130I
40
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.17488 − 1.44407I
a = −0.773826 + 0.196115I
b = 2.49097 − 0.79382I
−0.071556 + 0.690245I −14.6833 − 10.6130I
u = −0.17488 − 1.44407I
a = 0.691715 + 0.029516I
b = −0.436212 + 0.288729I
−0.071556 + 0.690245I −14.6833 − 10.6130I
41
VII. I
u
7
= h2u
5
− 5u
4
+ · · · + 8b − 9, −212u
5
a + 110u
5
+ · · · + 34a +
133, 2u
6
+ u
5
+ 4u
4
+ 3u
3
+ 5u
2
+ 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
a
−
1
4
u
5
+
5
8
u
4
+ ··· +
5
8
u +
9
8
a
4
=
3
2
u
5
a −
9
8
u
5
+ ··· −
1
4
a +
21
16
3
4
u
5
+
9
8
u
4
+ ··· +
17
8
u +
13
8
a
1
=
−
1
4
u
5
a +
5
16
u
5
+ ··· +
5
8
a −
65
32
−
1
4
u
4
a −
19
8
u
5
+ ··· +
1
4
a −
9
16
a
6
=
u
u
3
+ u
a
11
=
−
1
4
u
5
+
5
8
u
4
+ ··· + a +
9
8
−
1
4
u
5
+
5
8
u
4
+ ··· +
5
8
u +
9
8
a
5
=
−
1
2
u
5
a +
13
8
u
5
+ ··· −
1
4
a +
39
16
−
1
2
u
5
a + 2u
5
+ ··· −
1
4
a +
1
2
a
10
=
13
8
u
5
−
1
16
u
4
+ ··· −
1
2
a −
25
16
3
4
u
5
−
15
8
u
4
+ ··· −
15
8
u −
23
8
a
8
=
−0.375000au
5
+ 0.156250u
5
+ ··· + 0.437500a − 2.01563
−0.750000au
5
− 1.43750u
5
+ ··· + 0.375000a − 0.656250
a
9
=
17
8
u
5
+
11
16
u
4
+ ··· −
1
2
a −
13
16
−
1
2
u
5
a +
3
4
u
5
+ ··· −
15
8
u −
19
8
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1171
128
u
5
+
2193
256
u
4
+
4897
256
u
3
+
3215
128
u
2
+
5557
256
u +
905
256
42
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
8(8u
12
+ 2u
11
+ ··· − 108u + 16)
c
2
, c
8
4(2u
6
+ u
5
+ 4u
4
+ 3u
3
+ 5u
2
+ 1)
2
c
3
, c
9
4(2u
6
− 5u
5
+ 4u
4
− u
3
+ 2u
2
− 5u + 4)
2
c
4
, c
10
(u
6
+ 6u
4
+ 14u
2
+ 11)
2
c
6
, c
12
4(2u
6
− u
5
+ 4u
4
− 3u
3
+ 5u
2
+ 1)
2
43
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
64(64y
12
− 532y
11
+ ··· − 3728y + 256)
c
2
, c
6
, c
8
c
12
16(4y
6
+ 15y
5
+ 30y
4
+ 35y
3
+ 33y
2
+ 10y + 1)
2
c
3
, c
9
16(4y
6
− 9y
5
+ 14y
4
− 19y
3
+ 26y
2
− 9y + 16)
2
c
4
, c
10
(y
3
+ 6y
2
+ 14y + 11)
4
44
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = −0.739516 + 0.856903I
a = −0.747434 − 0.203635I
b = −0.803047 + 0.262836I
−4.75564 + 7.70691I −0.35239 − 9.83676I
u = −0.739516 + 0.856903I
a = −0.85636 − 1.99431I
b = −1.12009 + 1.11509I
−4.75564 + 7.70691I −0.35239 − 9.83676I
u = −0.739516 − 0.856903I
a = −0.747434 + 0.203635I
b = −0.803047 − 0.262836I
−4.75564 − 7.70691I −0.35239 + 9.83676I
u = −0.739516 − 0.856903I
a = −0.85636 + 1.99431I
b = −1.12009 − 1.11509I
−4.75564 − 7.70691I −0.35239 + 9.83676I
u = 0.414742 + 1.287430I
a = 0.020115 − 1.070840I
b = 1.80171 + 0.75650I
−0.358331 −12.31085 + 0.I
u = 0.414742 + 1.287430I
a = 0.225465 + 0.706649I
b = −0.401509 + 0.046742I
−0.358331 −12.31085 + 0.I
u = 0.414742 − 1.287430I
a = 0.020115 + 1.070840I
b = 1.80171 − 0.75650I
−0.358331 −12.31085 + 0.I
u = 0.414742 − 1.287430I
a = 0.225465 − 0.706649I
b = −0.401509 − 0.046742I
−0.358331 −12.31085 + 0.I
u = 0.074774 + 0.455775I
a = 0.452454 − 0.660857I
b = 1.200570 + 0.508397I
−4.75564 − 7.70691I −0.35239 + 9.83676I
u = 0.074774 + 0.455775I
a = −2.96924 + 6.86343I
b = −0.552643 − 0.867145I
−4.75564 − 7.70691I −0.35239 + 9.83676I
45
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = 0.074774 − 0.455775I
a = 0.452454 + 0.660857I
b = 1.200570 − 0.508397I
−4.75564 + 7.70691I −0.35239 − 9.83676I
u = 0.074774 − 0.455775I
a = −2.96924 − 6.86343I
b = −0.552643 + 0.867145I
−4.75564 + 7.70691I −0.35239 − 9.83676I
46
VIII. I
u
8
= hu
2
+ b − u + 1, a + u, u
3
− u
2
+ 2u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
−u
−u
2
+ u − 1
a
4
=
u
2
+ 1
u
2
− u + 1
a
1
=
0
−u
a
6
=
u
u
2
− u + 1
a
11
=
−u
2
− 1
−u
2
+ u − 1
a
5
=
u
2
+ 1
u
2
− u + 1
a
10
=
−u
2
− 1
−u
2
+ u − 1
a
8
=
−1
0
a
9
=
−1
−u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u
2
+ 8u − 20
47
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
3
+ u
2
− 1
c
2
, c
8
u
3
− u
2
+ 2u − 1
c
3
, c
6
, c
9
c
12
u
3
+ u
2
+ 2u + 1
c
4
, c
10
u
3
48
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
3
− y
2
+ 2y −1
c
2
, c
3
, c
6
c
8
, c
9
, c
12
y
3
+ 3y
2
+ 2y −1
c
4
, c
10
y
3
49
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = 0.215080 + 1.307140I
a = −0.215080 − 1.307140I
b = 0.877439 + 0.744862I
6.04826 − 5.65624I −4.98049 + 5.95889I
u = 0.215080 − 1.307140I
a = −0.215080 + 1.307140I
b = 0.877439 − 0.744862I
6.04826 + 5.65624I −4.98049 − 5.95889I
u = 0.569840
a = −0.569840
b = −0.754878
−2.22691 −18.0390
50
IX. I
u
9
= hu
6
− 4u
5
+ 8u
4
− 11u
3
+ 9u
2
+ b − 5u + 3, −3u
7
+ 10u
6
+ · · · +
2a − 4, u
8
− 4u
7
+ · · · − 4u + 2i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
12
=
3
2
u
7
− 5u
6
+ ··· −
1
2
u + 2
−u
6
+ 4u
5
− 8u
4
+ 11u
3
− 9u
2
+ 5u − 3
a
4
=
−
1
2
u
7
+ 2u
6
+ ··· −
7
2
u + 1
u
2
− u + 1
a
1
=
1
2
u
7
− 2u
6
+ ··· +
3
2
u + 1
−u
4
+ 2u
3
− 3u
2
+ 2u − 1
a
6
=
u
u
3
+ u
a
11
=
3
2
u
7
− 6u
6
+ ··· +
9
2
u − 1
−u
6
+ 4u
5
− 8u
4
+ 11u
3
− 9u
2
+ 5u − 3
a
5
=
−
1
2
u
7
+ 2u
6
+ ··· −
7
2
u + 1
u
2
− u + 1
a
10
=
3
2
u
7
− 6u
6
+ ··· +
9
2
u − 1
−u
6
+ 4u
5
− 8u
4
+ 11u
3
− 9u
2
+ 5u − 3
a
8
=
1
2
u
7
− 3u
6
+ ··· +
15
2
u − 4
−u
7
+ 3u
6
− 5u
5
+ 6u
4
− 4u
3
+ 3u
2
− u − 1
a
9
=
3
2
u
7
− 6u
6
+ ··· +
3
2
u + 1
−u
7
+ 2u
6
− 2u
5
+ 3u
3
− 2u
2
+ 2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2u
7
+ 15u
6
− 46u
5
+ 82u
4
− 100u
3
+ 84u
2
− 48u + 32
51
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
u
8
− 2u
7
+ 3u
5
− 3u
4
+ 3u
2
− u + 1
c
2
, c
8
u
8
− 4u
7
+ 9u
6
− 14u
5
+ 15u
4
− 13u
3
+ 9u
2
− 4u + 2
c
3
, c
9
(u
4
− u
3
+ u
2
+ 1)
2
c
4
, c
10
u
8
c
6
, c
12
u
8
+ 4u
7
+ 9u
6
+ 14u
5
+ 15u
4
+ 13u
3
+ 9u
2
+ 4u + 2
52
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
y
8
− 4y
7
+ 6y
6
− 3y
5
+ 7y
4
− 12y
3
+ 3y
2
+ 5y + 1
c
2
, c
6
, c
8
c
12
y
8
+ 2y
7
− y
6
− 12y
5
− 5y
4
+ 25y
3
+ 37y
2
+ 20y + 4
c
3
, c
9
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
c
4
, c
10
y
8
53
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.192965 + 0.870342I
a = 0.60432 + 1.87636I
b = −1.41733 − 0.42814I
−0.732875 − 0.991478I 14.6275 − 1.6780I
u = 0.192965 − 0.870342I
a = 0.60432 − 1.87636I
b = −1.41733 + 0.42814I
−0.732875 + 0.991478I 14.6275 + 1.6780I
u = −0.138557 + 0.767522I
a = −1.00593 − 1.65642I
b = 1.072770 + 0.246639I
3.20028 + 5.62938I −2.12750 − 5.21289I
u = −0.138557 − 0.767522I
a = −1.00593 + 1.65642I
b = 1.072770 − 0.246639I
3.20028 − 5.62938I −2.12750 + 5.21289I
u = 1.354460 + 0.250532I
a = 0.095400 − 0.141459I
b = −0.086775 + 0.534450I
−0.732875 − 0.991478I 14.6275 − 1.6780I
u = 1.354460 − 0.250532I
a = 0.095400 + 0.141459I
b = −0.086775 − 0.534450I
−0.732875 + 0.991478I 14.6275 + 1.6780I
u = 0.59113 + 1.35317I
a = −0.193794 + 1.067380I
b = −0.568666 − 0.980213I
3.20028 − 5.62938I −2.12750 + 5.21289I
u = 0.59113 − 1.35317I
a = −0.193794 − 1.067380I
b = −0.568666 + 0.980213I
3.20028 + 5.62938I −2.12750 − 5.21289I
54
X. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
c
11
64(u
3
+ u
2
− 1)(u
8
− 2u
7
+ 3u
5
− 3u
4
+ 3u
2
− u + 1)
· (u
12
− 5u
11
+ ··· − 2u
2
+ 1)(u
12
− u
11
+ ··· − 13u + 13)
· (8u
12
+ 2u
11
+ ··· − 108u + 16)(u
15
+ 3u
12
+ ··· + 40u + 13)
· (u
18
− 2u
16
+ ··· + 3u + 1)(u
50
− u
49
+ ··· + 20u + 4)
· (8u
76
− 90u
75
+ ··· − 4995u + 404)
c
2
, c
8
16(u
3
− u
2
+ 2u − 1)(u
6
− u
5
+ 3u
4
− 2u
3
+ 2u
2
− u + 1)
2
· (u
6
+ 2u
5
+ 4u
4
+ 4u
3
+ 4u
2
+ 3u + 1)
2
· (2u
6
+ u
5
+ 4u
4
+ 3u
3
+ 5u
2
+ 1)
2
· (u
8
− 4u
7
+ 9u
6
− 14u
5
+ 15u
4
− 13u
3
+ 9u
2
− 4u + 2)
· (u
9
− u
8
+ 4u
7
− 3u
6
+ 6u
5
− 3u
4
+ 4u
3
− u
2
+ u + 1)
2
· (u
15
+ u
14
+ ··· + 4u + 2)(2u
38
+ 3u
37
+ ··· − 21u + 17)
2
· (u
50
+ 3u
49
+ ··· + 957u + 125)
c
3
, c
9
2704(u − 1)
12
(u
3
+ u
2
+ 2u + 1)(u
4
− u
3
+ u
2
+ 1)
2
· ((2u
6
− 5u
5
+ ··· − 5u + 4)
2
)(13u
12
+ 91u
11
+ ··· + 5u + 1)
· (13u
15
+ 127u
14
+ ··· + 224u + 64)(u
18
+ 18u
17
+ ··· + 3245u + 341)
· ((u
25
− 7u
23
+ ··· + u + 1)
2
)(2u
38
− 9u
37
+ ··· − 13u + 4)
2
c
4
, c
10
169u
11
(u
6
+ 6u
4
+ 14u
2
+ 11)
2
· (u
6
− 3u
5
+ 7u
4
− 10u
3
+ 10u
2
− 7u + 3)
2
· (u
9
+ 7u
8
+ 26u
7
+ 65u
6
+ 117u
5
+ 156u
4
+ 153u
3
+ 104u
2
+ 44u + 8)
2
· (13u
12
+ 87u
10
+ 256u
8
+ 425u
6
+ 421u
4
+ 238u
2
+ 61)
· (13u
15
+ 127u
14
+ ··· + 672u + 64)(u
19
− 2u
18
+ ··· − 2u − 1)
4
· (u
25
+ u
24
+ ··· − 8u + 8)
2
c
6
, c
12
16(u
3
+ u
2
+ 2u + 1)(u
6
− 2u
5
+ 4u
4
− 4u
3
+ 4u
2
− 3u + 1)
2
· ((u
6
− u
5
+ 3u
4
− 2u
3
+ 2u
2
− u + 1)
2
)(2u
6
− u
5
+ 4u
4
− 3u
3
+ 5u
2
+ 1)
2
· (u
8
+ 4u
7
+ 9u
6
+ 14u
5
+ 15u
4
+ 13u
3
+ 9u
2
+ 4u + 2)
· (u
9
− u
8
+ 4u
7
− 3u
6
+ 6u
5
− 3u
4
+ 4u
3
− u
2
+ u + 1)
2
· (u
15
+ u
14
+ ··· + 4u + 2)(2u
38
+ 3u
37
+ ··· − 21u + 17)
2
· (u
50
+ 3u
49
+ ··· + 957u + 125)
55
XI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
c
11
4096(y
3
− y
2
+ 2y −1)
· (y
8
− 4y
7
+ 6y
6
− 3y
5
+ 7y
4
− 12y
3
+ 3y
2
+ 5y + 1)
· (y
12
− 13y
11
+ ··· − 4y + 1)(y
12
− 7y
11
+ ··· − 481y + 169)
· (64y
12
− 532y
11
+ ··· − 3728y + 256)
· (y
15
+ 18y
13
+ ··· + 768y −169)(y
18
− 4y
17
+ ··· − 13y + 1)
· (y
50
− 11y
49
+ ··· + 448y + 16)
· (64y
76
− 980y
75
+ ··· + 36327887y + 163216)
c
2
, c
6
, c
8
c
12
256(y
3
+ 3y
2
+ 2y −1)(y
6
+ 4y
5
+ 8y
4
+ 6y
3
− y + 1)
2
· (y
6
+ 5y
5
+ 9y
4
+ 8y
3
+ 6y
2
+ 3y + 1)
2
· (4y
6
+ 15y
5
+ 30y
4
+ 35y
3
+ 33y
2
+ 10y + 1)
2
· (y
8
+ 2y
7
− y
6
− 12y
5
− 5y
4
+ 25y
3
+ 37y
2
+ 20y + 4)
· (y
9
+ 7y
8
+ 22y
7
+ 41y
6
+ 50y
5
+ 43y
4
+ 28y
3
+ 13y
2
+ 3y −1)
2
· (y
15
+ 7y
14
+ ··· + 8y −4)(4y
38
+ 79y
37
+ ··· + 2959y + 289)
2
· (y
50
+ 19y
49
+ ··· − 73349y + 15625)
c
3
, c
9
7311616(y −1)
12
(y
3
+ 3y
2
+ 2y − 1)(y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
· (4y
6
− 9y
5
+ 14y
4
− 19y
3
+ 26y
2
− 9y + 16)
2
· (169y
12
− 1287y
11
+ ··· + 41y + 1)
· (169y
15
− 425y
14
+ ··· + 13312y −4096)
· (y
18
− 8y
17
+ ··· − 386639y + 116281)
· ((y
25
− 14y
24
+ ··· − 13y −1)
2
)(4y
38
− 41y
37
+ ··· + 455y + 16)
2
c
4
, c
10
28561y
11
(y
3
+ 6y
2
+ 14y + 11)
4
· (y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
· (13y
6
+ 87y
5
+ 256y
4
+ 425y
3
+ 421y
2
+ 238y + 61)
2
· (y
9
+ 3y
8
− 19y
6
− 3y
5
+ 122y
4
+ 217y
3
+ 152y
2
+ 272y −64)
2
· (169y
15
+ 1265y
14
+ ··· + 35840y −4096)
· ((y
19
+ 14y
18
+ ··· − 12y −1)
4
)(y
25
− 7y
24
+ ··· − 1312y −64)
2
56
