12n
0837
(K12n
0837
)
A knot diagram
1
Linearized knot diagam
4 12 11 9 8 4 3 1 12 8 7 5
Solving Sequence
5,9 1,4
2 8 6 12 10 11 3 7
c
4
c
1
c
8
c
5
c
12
c
9
c
10
c
3
c
7
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= hb + u, a − 1, u
4
+ 2u
3
+ 2u
2
− u − 1i
I
u
2
= hb + u, −9u
17
+ 40u
16
+ ··· + 2a + 19, u
18
− 5u
17
+ ··· − 6u + 2i
I
u
3
= h5u
17
− 24u
16
+ ··· + 2b − 18, a − 1, u
18
− 5u
17
+ ··· − 6u + 2i
I
u
4
= h−1573066898u
17
− 28039813504u
16
+ ··· + 6554007584b − 87714720832,
− 2741085026u
17
− 47766463570u
16
+ ··· + 6554007584a − 96897616096,
2u
18
+ 36u
17
+ ··· + 288u + 64i
I
u
5
= hb + u, a + 1, u
6
− u
5
+ u
4
+ 2u
3
+ u + 1i
I
u
6
= hb + u, a + 1, u
4
− 2u
3
+ 2u
2
− u + 1i
I
u
7
= hu
5
− u
4
+ 3u
3
− au − 2u
2
+ b + u, −u
4
a + u
5
+ u
3
a − u
4
− 3u
2
a + 3u
3
+ a
2
+ 2au − 3u
2
− a + 2u − 3,
u
6
− u
5
+ 3u
4
− 2u
3
+ 2u
2
− u + 1i
I
u
8
= h−8u
11
+ 27u
10
− 39u
9
+ 7u
8
+ 13u
7
+ 57u
6
− 222u
5
+ 307u
4
− 266u
3
+ 151u
2
+ 2b − 61u + 14,
− 6u
11
+ 17u
10
− 19u
9
− 7u
8
+ 7u
7
+ 49u
6
− 138u
5
+ 147u
4
− 106u
3
+ 47u
2
+ 2a − 11u,
u
12
− 4u
11
+ 7u
10
− 4u
9
− u
8
− 6u
7
+ 32u
6
− 56u
5
+ 58u
4
− 40u
3
+ 19u
2
− 6u + 1i
I
u
9
= h7u
11
− 23u
10
+ 31u
9
− u
8
− 13u
7
− 54u
6
+ 189u
5
− 242u
4
+ 193u
3
− 103u
2
+ 2b + 36u − 6,
14u
11
− 48u
10
+ 71u
9
− 17u
8
− 21u
7
− 97u
6
+ 391u
5
− 562u
4
+ 505u
3
− 294u
2
+ 2a + 115u − 23,
u
12
− 4u
11
+ 7u
10
− 4u
9
− u
8
− 6u
7
+ 32u
6
− 56u
5
+ 58u
4
− 40u
3
+ 19u
2
− 6u + 1i
I
u
10
= hb − 2u, a − 2, 2u
2
− 2u + 1i
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
11
= hb + u, 2a − 1, u
2
+ 2u + 2i
I
u
12
= h2b − u, a + 1, u
2
+ 2u + 2i
I
u
13
= hb + u, a − 1, u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1i
I
u
14
= h−u
4
+ 3u
3
− au − 4u
2
+ b + u, −u
5
+ u
3
a + 2u
4
− 3u
2
a − u
3
+ a
2
+ 4au − 4u
2
− a + 4u − 4,
u
6
− 3u
5
+ 5u
4
− 4u
3
+ 4u
2
− u + 1i
I
u
15
= hb + u, −u
3
− u
2
+ a − 1, u
4
+ u
3
+ u
2
+ u + 1i
I
u
16
= hu
2
+ b + 1, a + 1, u
4
+ u
3
+ u
2
+ u + 1i
I
u
17
= hu
3
− 3u
2
+ b + 3u − 1, u
3
− 2u
2
+ a + u + 1, u
4
− 3u
3
+ 4u
2
− 2u + 1i
* 17 irreducible components of dim
C
= 0, with total 140 representations.
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
2
I. I
u
1
= hb + u, a − 1, u
4
+ 2u
3
+ 2u
2
− u − 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1
−u
a
4
=
1
u
2
a
2
=
u
2
+ u + 1
−u
3
− 2u
2
+ 1
a
8
=
−u
u
2
+ u
a
6
=
−u
3
− u
2
+ 1
−u
2
+ u + 1
a
12
=
u + 1
−u
a
10
=
−u
3
− 2u
2
− u
u
3
+ u
2
+ u
a
11
=
−u
2
− u
u
3
+ 2u
2
− 1
a
3
=
−u
3
− u
2
+ 1
−u
2
+ 1
a
7
=
−u
3
− 2u
2
− u + 1
u
3
+ u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6u
3
− 12u
2
− 6u + 9
3
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
u
4
− 2u
3
+ u
2
+ 4u − 1
c
3
, c
4
, c
7
c
8
, c
11
, c
12
u
4
− 2u
3
+ 2u
2
+ u − 1
4
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
y
4
− 2y
3
+ 15y
2
− 18y + 1
c
3
, c
4
, c
7
c
8
, c
11
, c
12
y
4
+ 6y
2
− 5y + 1
5
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.664422
a = 1.00000
b = −0.664422
−2.90924 −2.04390
u = −0.591616
a = 1.00000
b = 0.591616
1.01979 9.59200
u = −1.03640 + 1.21238I
a = 1.00000
b = 1.03640 − 1.21238I
−5.6350 − 19.7459I −0.77406 + 10.13367I
u = −1.03640 − 1.21238I
a = 1.00000
b = 1.03640 + 1.21238I
−5.6350 + 19.7459I −0.77406 − 10.13367I
6
II. I
u
2
= hb + u, −9u
17
+ 40u
16
+ · · · + 2a + 19, u
18
− 5u
17
+ · · · − 6u + 2i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
9
2
u
17
− 20u
16
+ ··· +
59
2
u −
19
2
−u
a
4
=
1
u
2
a
2
=
5u
17
−
47
2
u
16
+ ··· +
73
2
u −
29
2
−
3
2
u
17
+
13
2
u
16
+ ··· − 8u + 2
a
8
=
10.2500u
17
− 44.7500u
16
+ ··· + 59.2500u − 15.5000
1
2
u
17
−
7
2
u
16
+ ··· + 7u − 5
a
6
=
−
15
4
u
17
+
67
4
u
16
+ ··· −
77
4
u +
7
2
u
17
− 4u
16
+ ··· −
11
2
u
2
+ 3u
a
12
=
9
2
u
17
− 20u
16
+ ··· +
61
2
u −
19
2
−u
a
10
=
9.25000u
17
− 37.7500u
16
+ ··· + 47.2500u − 5.50000
1
2
u
17
−
7
2
u
16
+ ··· + 7u − 5
a
11
=
4u
17
−
49
2
u
16
+ ··· +
99
2
u − 26
−
7
2
u
17
+ 15u
16
+ ··· − 16u + 4
a
3
=
1
2
u
17
−
13
2
u
16
+ ··· + 19u − 16
−
1
2
u
17
+
5
2
u
16
+ ··· − 5u + 2
a
7
=
−4.75000u
17
+ 21.7500u
16
+ ··· − 26.7500u + 7.50000
2u
17
−
15
2
u
16
+ ··· −
15
2
u
2
+ 5u
(ii) Obstruction class = −1
(iii) Cusp Shapes = −13u
17
+ 63u
16
−165u
15
+ 258u
14
−297u
13
+ 308u
12
−454u
11
+
751u
10
−1156u
9
+ 1416u
8
−1411u
7
+ 1045u
6
−635u
5
+ 324u
4
−212u
3
+ 137u
2
−92u + 24
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
c
10
u
18
+ 5u
17
+ ··· + 29u + 11
c
3
, c
4
, c
11
c
12
u
18
+ 5u
17
+ ··· + 6u + 2
c
6
, c
9
2(2u
18
− 42u
17
+ ··· − 32768u + 4096)
c
7
, c
8
2(2u
18
− 36u
17
+ ··· − 288u + 64)
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
10
y
18
− 7y
17
+ ··· − 1171y + 121
c
3
, c
4
, c
11
c
12
y
18
+ 3y
17
+ ··· + 16y + 4
c
6
, c
9
4(4y
18
− 48y
17
+ ··· + 5242880y
2
+ 1.67772 × 10
7
)
c
7
, c
8
4(4y
18
− 36y
17
+ ··· − 50176y + 4096)
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.117461 + 1.055770I
a = −0.197487 − 0.226554I
b = 0.117461 − 1.055770I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = −0.117461 − 1.055770I
a = −0.197487 + 0.226554I
b = 0.117461 + 1.055770I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = 0.685691 + 0.586681I
a = −1.71323 − 0.43588I
b = −0.685691 − 0.586681I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = 0.685691 − 0.586681I
a = −1.71323 + 0.43588I
b = −0.685691 + 0.586681I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = 0.138696 + 0.833961I
a = 0.96269 + 1.98234I
b = −0.138696 − 0.833961I
−5.85311 − 8.22123I −7.71204 + 4.47530I
u = 0.138696 − 0.833961I
a = 0.96269 − 1.98234I
b = −0.138696 + 0.833961I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = 0.944753 + 0.780899I
a = −0.410800 + 0.178193I
b = −0.944753 − 0.780899I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = 0.944753 − 0.780899I
a = −0.410800 − 0.178193I
b = −0.944753 + 0.780899I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = 0.474610 + 0.583553I
a = −0.06054 + 2.66696I
b = −0.474610 − 0.583553I
−4.67654 + 10.79130I −3.31192 − 12.75342I
u = 0.474610 − 0.583553I
a = −0.06054 − 2.66696I
b = −0.474610 + 0.583553I
−4.67654 − 10.79130I −3.31192 + 12.75342I
10
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.105760 + 0.758854I
a = 0.702132 − 0.134728I
b = 1.105760 − 0.758854I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = −1.105760 − 0.758854I
a = 0.702132 + 0.134728I
b = 1.105760 + 0.758854I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = −0.462479 + 0.431703I
a = 1.79515 + 3.21804I
b = 0.462479 − 0.431703I
−2.64827 −6 − 0.557711 + 0.10I
u = −0.462479 − 0.431703I
a = 1.79515 − 3.21804I
b = 0.462479 + 0.431703I
−2.64827 −6 − 0.557711 + 0.10I
u = 0.97105 + 1.12180I
a = −1.125730 − 0.023180I
b = −0.97105 − 1.12180I
−4.67654 + 10.79130I −3.31192 − 12.75342I
u = 0.97105 − 1.12180I
a = −1.125730 + 0.023180I
b = −0.97105 + 1.12180I
−4.67654 − 10.79130I −3.31192 + 12.75342I
u = 0.97090 + 1.14798I
a = −0.952181 − 0.151413I
b = −0.97090 − 1.14798I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = 0.97090 − 1.14798I
a = −0.952181 + 0.151413I
b = −0.97090 + 1.14798I
−5.85311 − 8.22123I −7.71204 + 4.47530I
11
III. I
u
3
= h5u
17
− 24u
16
+ · · · + 2b − 18, a − 1, u
18
− 5u
17
+ · · · − 6u + 2i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1
−
5
2
u
17
+ 12u
16
+ ··· −
35
2
u + 9
a
4
=
1
u
2
a
2
=
5
2
u
17
− 12u
16
+ ··· +
35
2
u − 8
−
7
2
u
17
+
31
2
u
16
+ ··· −
39
2
u + 8
a
8
=
−u
1
2
u
17
−
7
2
u
16
+ ··· + 7u − 5
a
6
=
u
17
−
7
2
u
16
+ ··· + 2u + 2
u
17
− 4u
16
+ ··· −
11
2
u
2
+ 3u
a
12
=
5
2
u
17
− 12u
16
+ ··· +
35
2
u − 8
−
5
2
u
17
+ 12u
16
+ ··· −
35
2
u + 9
a
10
=
−u
16
+ 4u
15
+ ··· +
11
2
u − 3
−
1
2
u
17
+
9
2
u
16
+ ··· −
23
2
u + 8
a
11
=
−2u
16
+
15
2
u
15
+ ··· +
15
2
u − 5
3
2
u
17
− 7u
16
+ ··· + 7u − 1
a
3
=
−2u
17
+
13
2
u
16
+ ··· − u − 4
u
17
− 4u
16
+ ··· + 3u + 1
a
7
=
u
17
−
9
2
u
16
+ ··· + 6u − 1
u
16
−
7
2
u
15
+ ··· − 3u + 2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −13u
17
+ 63u
16
−165u
15
+ 258u
14
−297u
13
+ 308u
12
−454u
11
+
751u
10
−1156u
9
+ 1416u
8
−1411u
7
+ 1045u
6
−635u
5
+ 324u
4
−212u
3
+ 137u
2
−92u + 24
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
2(2u
18
− 42u
17
+ ··· − 32768u + 4096)
c
2
, c
5
, c
6
c
9
u
18
+ 5u
17
+ ··· + 29u + 11
c
3
, c
4
, c
7
c
8
u
18
+ 5u
17
+ ··· + 6u + 2
c
11
, c
12
2(2u
18
− 36u
17
+ ··· − 288u + 64)
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
4(4y
18
− 48y
17
+ ··· + 5242880y
2
+ 1.67772 × 10
7
)
c
2
, c
5
, c
6
c
9
y
18
− 7y
17
+ ··· − 1171y + 121
c
3
, c
4
, c
7
c
8
y
18
+ 3y
17
+ ··· + 16y + 4
c
11
, c
12
4(4y
18
− 36y
17
+ ··· − 50176y + 4096)
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.117461 + 1.055770I
a = 1.00000
b = −0.262386 + 0.181889I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = −0.117461 − 1.055770I
a = 1.00000
b = −0.262386 − 0.181889I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = 0.685691 + 0.586681I
a = 1.00000
b = 0.91902 + 1.30400I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = 0.685691 − 0.586681I
a = 1.00000
b = 0.91902 − 1.30400I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = 0.138696 + 0.833961I
a = 1.00000
b = 1.51967 − 1.07779I
−5.85311 − 8.22123I −7.71204 + 4.47530I
u = 0.138696 − 0.833961I
a = 1.00000
b = 1.51967 + 1.07779I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = 0.944753 + 0.780899I
a = 1.00000
b = 0.527255 + 0.152445I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = 0.944753 − 0.780899I
a = 1.00000
b = 0.527255 − 0.152445I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = 0.474610 + 0.583553I
a = 1.00000
b = 1.58505 − 1.23044I
−4.67654 + 10.79130I −3.31192 − 12.75342I
u = 0.474610 − 0.583553I
a = 1.00000
b = 1.58505 + 1.23044I
−4.67654 − 10.79130I −3.31192 + 12.75342I
15
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.105760 + 0.758854I
a = 1.00000
b = 0.674150 − 0.681792I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = −1.105760 − 0.758854I
a = 1.00000
b = 0.674150 + 0.681792I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = −0.462479 + 0.431703I
a = 1.00000
b = 2.21945 + 0.71331I
−2.64827 −6 − 0.557711 + 0.10I
u = −0.462479 − 0.431703I
a = 1.00000
b = 2.21945 − 0.71331I
−2.64827 −6 − 0.557711 + 0.10I
u = 0.97105 + 1.12180I
a = 1.00000
b = 1.06713 + 1.28535I
−4.67654 + 10.79130I −3.31192 − 12.75342I
u = 0.97105 − 1.12180I
a = 1.00000
b = 1.06713 − 1.28535I
−4.67654 − 10.79130I −3.31192 + 12.75342I
u = 0.97090 + 1.14798I
a = 1.00000
b = 0.75065 + 1.24009I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = 0.97090 − 1.14798I
a = 1.00000
b = 0.75065 − 1.24009I
−5.85311 − 8.22123I −7.71204 + 4.47530I
16
IV. I
u
4
=
h−1.57×10
9
u
17
−2.80×10
10
u
16
+· · ·+6.55×10
9
b−8.77×10
10
, −2.74×10
9
u
17
−
4.78 × 10
10
u
16
+ · · · + 6.55 × 10
9
a − 9.69 × 10
10
, 2u
18
+ 36u
17
+ · · · + 288u + 64i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
0.418230u
17
+ 7.28813u
16
+ ··· + 55.0668u + 14.7845
0.240016u
17
+ 4.27827u
16
+ ··· + 45.4407u + 13.3834
a
4
=
1
u
2
a
2
=
0.220233u
17
+ 3.85283u
16
+ ··· + 30.8051u + 9.08162
0.279696u
17
+ 4.70292u
16
+ ··· + 33.2504u + 9.26644
a
8
=
−0.405049u
17
− 7.06890u
16
+ ··· − 66.2576u − 23.6467
−0.221980u
17
− 3.87748u
16
+ ··· − 33.6803u − 12.9616
a
6
=
−0.0814254u
17
− 1.40331u
16
+ ··· − 6.57667u − 8.03340
0.0558069u
17
+ 1.04276u
16
+ ··· + 16.3117u + 4.49774
a
12
=
0.178214u
17
+ 3.00986u
16
+ ··· + 9.62612u + 1.40111
0.240016u
17
+ 4.27827u
16
+ ··· + 45.4407u + 13.3834
a
10
=
−0.0792438u
17
− 1.38641u
16
+ ··· − 15.9005u − 4.82694
−0.103825u
17
− 1.80501u
16
+ ··· − 14.6768u − 5.85821
a
11
=
−0.669793u
17
− 11.6921u
16
+ ··· − 106.612u − 38.3152
−0.305026u
17
− 5.38385u
16
+ ··· − 51.3580u − 20.0086
a
3
=
0.407230u
17
+ 7.09082u
16
+ ··· + 65.9981u + 22.7461
0.463276u
17
+ 7.95175u
16
+ ··· + 61.0907u + 21.1249
a
7
=
−0.229775u
17
− 3.95065u
16
+ ··· − 29.2608u − 14.5263
−0.0526146u
17
− 0.945653u
16
+ ··· + 3.35320u + 0.563147
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
867904991
819250948
u
17
−
7549831247
409625474
u
16
+ ··· −
35978777006
204812737
u −
12280937430
204812737
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
9
c
10
u
18
+ 5u
17
+ ··· + 29u + 11
c
2
, c
5
2(2u
18
− 42u
17
+ ··· − 32768u + 4096)
c
3
, c
4
2(2u
18
− 36u
17
+ ··· − 288u + 64)
c
7
, c
8
, c
11
c
12
u
18
+ 5u
17
+ ··· + 6u + 2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
9
c
10
y
18
− 7y
17
+ ··· − 1171y + 121
c
2
, c
5
4(4y
18
− 48y
17
+ ··· + 5242880y
2
+ 1.67772 × 10
7
)
c
3
, c
4
4(4y
18
− 36y
17
+ ··· − 50176y + 4096)
c
7
, c
8
, c
11
c
12
y
18
+ 3y
17
+ ··· + 16y + 4
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.674150 + 0.681792I
a = 1.373660 + 0.263583I
b = 1.105760 − 0.758854I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = −0.674150 − 0.681792I
a = 1.373660 − 0.263583I
b = 1.105760 + 0.758854I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = −0.75065 + 1.24009I
a = −1.024320 − 0.162884I
b = −0.97090 + 1.14798I
−5.85311 − 8.22123I −7.71204 + 4.47530I
u = −0.75065 − 1.24009I
a = −1.024320 + 0.162884I
b = −0.97090 − 1.14798I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = −0.527255 + 0.152445I
a = −2.04878 + 0.88870I
b = −0.944753 + 0.780899I
3.08112 + 1.34368I 2.02039 − 5.00957I
u = −0.527255 − 0.152445I
a = −2.04878 − 0.88870I
b = −0.944753 − 0.780899I
3.08112 − 1.34368I 2.02039 + 5.00957I
u = −0.91902 + 1.30400I
a = −0.548208 − 0.139474I
b = −0.685691 + 0.586681I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = −0.91902 − 1.30400I
a = −0.548208 + 0.139474I
b = −0.685691 − 0.586681I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = −1.06713 + 1.28535I
a = −0.887939 − 0.018284I
b = −0.97105 + 1.12180I
−4.67654 − 10.79130I −3.31192 + 12.75342I
u = −1.06713 − 1.28535I
a = −0.887939 + 0.018284I
b = −0.97105 − 1.12180I
−4.67654 + 10.79130I −3.31192 − 12.75342I
20
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.262386 + 0.181889I
a = −2.18634 − 2.50813I
b = 0.117461 + 1.055770I
−0.27448 + 4.94689I −1.21757 − 8.17867I
u = 0.262386 − 0.181889I
a = −2.18634 + 2.50813I
b = 0.117461 − 1.055770I
−0.27448 − 4.94689I −1.21757 + 8.17867I
u = −1.51967 + 1.07779I
a = 0.198230 − 0.408188I
b = −0.138696 − 0.833961I
−5.85311 − 8.22123I −7.71204 + 4.47530I
u = −1.51967 − 1.07779I
a = 0.198230 + 0.408188I
b = −0.138696 + 0.833961I
−5.85311 + 8.22123I −7.71204 − 4.47530I
u = −1.58505 + 1.23044I
a = −0.008508 − 0.374766I
b = −0.474610 − 0.583553I
−4.67654 + 10.79130I −3.31192 − 12.75342I
u = −1.58505 − 1.23044I
a = −0.008508 + 0.374766I
b = −0.474610 + 0.583553I
−4.67654 − 10.79130I −3.31192 + 12.75342I
u = −2.21945 + 0.71331I
a = 0.132207 + 0.236998I
b = 0.462479 + 0.431703I
−2.64827 0
u = −2.21945 − 0.71331I
a = 0.132207 − 0.236998I
b = 0.462479 − 0.431703I
−2.64827 0
21
V. I
u
5
= hb + u, a + 1, u
6
− u
5
+ u
4
+ 2u
3
+ u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−1
−u
a
4
=
1
u
2
a
2
=
−u
2
+ u − 1
−u
4
+ u
3
− u
a
8
=
−u
−u
2
+ u
a
6
=
u
3
− u
2
+ 1
u
4
− 2u
3
+ u
2
a
12
=
u − 1
−u
a
10
=
−u
3
+ 2u
2
− u
u
3
− u
2
+ u
a
11
=
u
5
− u
4
+ u
3
+ 2u
2
+ 1
−u
5
+ 2u
4
− 3u
3
− 2
a
3
=
−2u
5
+ 3u
4
− 4u
3
− u
2
− 2
u
5
− 2u
4
+ 3u
3
+ 1
a
7
=
u
5
− 2u
4
+ 3u
3
− u
2
+ 1
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −3u
5
+ 6u
4
− 12u
3
+ 3u
2
− 3u − 12
22
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
u
6
− 2u
5
− u
4
+ 7u
3
− 2u
2
− 7u + 5
c
2
, c
6
, c
10
u
6
+ 2u
5
− u
4
− 7u
3
− 2u
2
+ 7u + 5
c
3
, c
7
, c
11
u
6
+ u
5
+ u
4
− 2u
3
− u + 1
c
4
, c
8
, c
12
u
6
− u
5
+ u
4
+ 2u
3
+ u + 1
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
y
6
− 6y
5
+ 25y
4
− 63y
3
+ 92y
2
− 69y + 25
c
3
, c
4
, c
7
c
8
, c
11
, c
12
y
6
+ y
5
+ 5y
4
− 2y
2
− y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.284920 + 0.820791I
a = −1.00000
b = −0.284920 − 0.820791I
−3.96484 −8.68367 + 0.I
u = 0.284920 − 0.820791I
a = −1.00000
b = −0.284920 + 0.820791I
−3.96484 −8.68367 + 0.I
u = −0.747005 + 0.135499I
a = −1.00000
b = 0.747005 − 0.135499I
−4.59731 + 9.42707I −1.65816 − 5.60826I
u = −0.747005 − 0.135499I
a = −1.00000
b = 0.747005 + 0.135499I
−4.59731 − 9.42707I −1.65816 + 5.60826I
u = 0.96209 + 1.17164I
a = −1.00000
b = −0.96209 − 1.17164I
−4.59731 + 9.42707I −1.65816 − 5.60826I
u = 0.96209 − 1.17164I
a = −1.00000
b = −0.96209 + 1.17164I
−4.59731 − 9.42707I −1.65816 + 5.60826I
25
VI. I
u
6
= hb + u, a + 1, u
4
− 2u
3
+ 2u
2
− u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−1
−u
a
4
=
1
u
2
a
2
=
−u
2
+ u − 1
−u
3
+ 2u
2
− 2u + 1
a
8
=
−u
−u
2
+ u
a
6
=
u
3
− u
2
+ 1
−u
2
+ u − 1
a
12
=
u − 1
−u
a
10
=
−u
3
+ 2u
2
− u
u
3
− u
2
+ u
a
11
=
−2u
3
+ 3u
2
− u
u
3
+ 1
a
3
=
u
3
− 3u
2
+ 2u − 1
−2u
3
+ 3u
2
− 2u + 1
a
7
=
u
3
− u + 1
u
3
− 3u
2
+ 2u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −6u
3
+ 6u − 3
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
(u
2
− u + 1)
2
c
2
, c
6
, c
10
(u
2
+ u + 1)
2
c
3
, c
7
, c
11
u
4
+ 2u
3
+ 2u
2
+ u + 1
c
4
, c
8
, c
12
u
4
− 2u
3
+ 2u
2
− u + 1
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
(y
2
+ y + 1)
2
c
3
, c
4
, c
7
c
8
, c
11
, c
12
y
4
+ 2y
2
+ 3y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.070696 + 0.758745I
a = −1.00000
b = 0.070696 − 0.758745I
−1.74699 − 3.49426I −4.15464 + 7.10504I
u = −0.070696 − 0.758745I
a = −1.00000
b = 0.070696 + 0.758745I
−1.74699 + 3.49426I −4.15464 − 7.10504I
u = 1.070700 + 0.758745I
a = −1.00000
b = −1.070700 − 0.758745I
5.03685 + 8.68504I 7.15464 − 8.48342I
u = 1.070700 − 0.758745I
a = −1.00000
b = −1.070700 + 0.758745I
5.03685 − 8.68504I 7.15464 + 8.48342I
29
VII. I
u
7
= hu
5
− u
4
+ 3u
3
− au − 2u
2
+ b + u, −u
4
a + u
5
+ · · · − a − 3, u
6
−
u
5
+ 3u
4
− 2u
3
+ 2u
2
− u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
a
−u
5
+ u
4
− 3u
3
+ au + 2u
2
− u
a
4
=
1
u
2
a
2
=
u
5
− u
4
+ u
2
a + 3u
3
− au − 2u
2
+ a + u
u
4
a − u
5
− u
3
a + u
4
− 4u
3
+ au + 3u
2
− 2u
a
8
=
−u
5
a + u
4
a − 3u
3
a + 2u
2
a − u
3
− au − 2u − 1
−u
4
− 2u
2
a
6
=
−u
5
a + u
4
a + 2u
5
− 3u
3
a + 2u
2
a + 4u
3
− 2au + u
2
u
5
− 2u
4
+ 3u
3
− 4u
2
+ u − 2
a
12
=
u
5
− u
4
+ 3u
3
− au − 2u
2
+ a + u
−u
5
+ u
4
− 3u
3
+ au + 2u
2
− u
a
10
=
−u
5
a + u
4
a − 4u
3
a + u
4
+ 3u
2
a − u
3
− 2au + 3u
2
− u
u
3
a − u
2
a + au − u
2
+ u − 1
a
11
=
−u
5
a + u
5
− 2u
3
a − u
4
+ 3u
3
+ au − 2u
2
+ 2u − 2
u
4
a + u
3
a + u
2
a − u
2
+ a
a
3
=
−u
5
a + u
4
a − 2u
3
a + 3u
2
a − au + a − u
u
5
a + u
4
a + u
3
a − u
3
+ au + u
2
a
7
=
−u
5
a + u
4
a + u
5
− 3u
3
a + u
4
+ u
2
a + u
3
− au + 3u
2
− u
−u
4
a + u
5
+ u
3
a − 2u
4
+ 4u
3
− 5u
2
+ 2u − 2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8u
5
− 20u
3
− 8u
2
− 6
30
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
9
c
10
u
12
+ 4u
11
+ ··· + 4u + 1
c
2
, c
5
(u
6
+ 3u
5
+ 7u
4
+ 10u
3
+ 10u
2
+ 7u + 3)
2
c
3
, c
4
(u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1)
2
c
7
, c
8
, c
11
c
12
u
12
+ 4u
11
+ ··· + 6u + 1
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
9
c
10
y
12
− 10y
11
+ ··· − 14y + 1
c
2
, c
5
(y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
c
3
, c
4
(y
6
+ 5y
5
+ 9y
4
+ 8y
3
+ 6y
2
+ 3y + 1)
2
c
7
, c
8
, c
11
c
12
y
12
− 2y
11
+ ··· + 2y + 1
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = 0.616765 + 0.580357I
a = 1.57092 + 0.24410I
b = 1.30393 + 0.83343I
2.18727 + 7.89459I 4.23219 − 13.00098I
u = 0.616765 + 0.580357I
a = −1.79571 + 0.33842I
b = −0.827224 − 1.062250I
2.18727 + 7.89459I 4.23219 − 13.00098I
u = 0.616765 − 0.580357I
a = 1.57092 − 0.24410I
b = 1.30393 − 0.83343I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = 0.616765 − 0.580357I
a = −1.79571 − 0.33842I
b = −0.827224 + 1.062250I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = −0.291649 + 0.757555I
a = −0.923318 − 0.267732I
b = −1.26214 − 1.01347I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = −0.291649 + 0.757555I
a = 0.60651 − 1.89957I
b = −0.472106 + 0.621380I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = −0.291649 − 0.757555I
a = −0.923318 + 0.267732I
b = −1.26214 + 1.01347I
−3.90376 + 2.86500I −8.91554 − 9.10702I
u = −0.291649 − 0.757555I
a = 0.60651 + 1.89957I
b = −0.472106 − 0.621380I
−3.90376 + 2.86500I −8.91554 − 9.10702I
u = 0.17488 + 1.44407I
a = −0.077332 − 0.438982I
b = −0.122069 + 0.573149I
−3.21831 − 0.69024I 2.68334 + 10.61298I
u = 0.17488 + 1.44407I
a = −0.381072 − 0.130681I
b = −0.620396 + 0.188443I
−3.21831 − 0.69024I 2.68334 + 10.61298I
33
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = 0.17488 − 1.44407I
a = −0.077332 + 0.438982I
b = −0.122069 − 0.573149I
−3.21831 + 0.69024I 2.68334 − 10.61298I
u = 0.17488 − 1.44407I
a = −0.381072 + 0.130681I
b = −0.620396 − 0.188443I
−3.21831 + 0.69024I 2.68334 − 10.61298I
34
VIII. I
u
8
= h−8u
11
+ 27u
10
+ · · · + 2b + 14, −6u
11
+ 17u
10
+ · · · + 2a −
11u, u
12
− 4u
11
+ · · · − 6u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
3u
11
−
17
2
u
10
+ ··· −
47
2
u
2
+
11
2
u
4u
11
−
27
2
u
10
+ ··· +
61
2
u − 7
a
4
=
1
u
2
a
2
=
3
2
u
11
− 4u
10
+ ··· − 7u +
7
2
5
2
u
11
−
17
2
u
10
+ ··· + 23u −
11
2
a
8
=
1
2
u
11
−
9
2
u
10
+ ··· + 16u − 3
−
5
2
u
11
+
19
2
u
10
+ ··· −
41
2
u + 5
a
6
=
−4u
11
+ 16u
10
+ ··· − 41u +
19
2
−u
11
+
9
2
u
10
+ ··· −
33
2
u + 5
a
12
=
−u
11
+ 5u
10
+ ··· − 25u + 7
4u
11
−
27
2
u
10
+ ··· +
61
2
u − 7
a
10
=
6u
11
− 24u
10
+ ··· + 56u − 12
−3u
11
+ 10u
10
+ ··· −
35
2
u + 4
a
11
=
3u
11
− 11u
10
+ ··· +
49
2
u − 6
3u
11
− 10u
10
+ ··· + 21u − 4
a
3
=
15
2
u
11
− 28u
10
+ ··· + 49u −
17
2
−
1
2
u
11
+
3
2
u
10
+ ··· +
9
2
u −
3
2
a
7
=
−
3
2
u
11
+
13
2
u
10
+ ··· −
41
2
u +
9
2
−2u
11
+ 7u
10
+ ··· − 16u +
9
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −42u
11
+ 148u
10
− 218u
9
+ 46u
8
+ 84u
7
+ 300u
6
− 1216u
5
+
1720u
4
− 1468u
3
+ 822u
2
− 320u + 70
35
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
(u
6
+ 3u
5
+ 7u
4
+ 10u
3
+ 10u
2
+ 7u + 3)
2
c
2
, c
5
, c
6
c
9
u
12
+ 4u
11
+ ··· + 4u + 1
c
3
, c
4
, c
7
c
8
u
12
+ 4u
11
+ ··· + 6u + 1
c
11
, c
12
(u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1)
2
36
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
(y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
c
2
, c
5
, c
6
c
9
y
12
− 10y
11
+ ··· − 14y + 1
c
3
, c
4
, c
7
c
8
y
12
− 2y
11
+ ··· + 2y + 1
c
11
, c
12
(y
6
+ 5y
5
+ 9y
4
+ 8y
3
+ 6y
2
+ 3y + 1)
2
37
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = 0.472106 + 0.621380I
a = −0.05564 − 2.07346I
b = 0.291649 + 0.757555I
−3.90376 + 2.86500I −8.91554 − 9.10702I
u = 0.472106 − 0.621380I
a = −0.05564 + 2.07346I
b = 0.291649 − 0.757555I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = 0.827224 + 1.062250I
a = −1.083450 + 0.383784I
b = −0.616765 − 0.580357I
2.18727 + 7.89459I 4.23219 − 13.00098I
u = 0.827224 − 1.062250I
a = −1.083450 − 0.383784I
b = −0.616765 + 0.580357I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = 0.620396 + 0.188443I
a = 0.437050 + 0.791090I
b = −0.17488 + 1.44407I
−3.21831 + 0.69024I 2.68334 − 10.61298I
u = 0.620396 − 0.188443I
a = 0.437050 − 0.791090I
b = −0.17488 − 1.44407I
−3.21831 − 0.69024I 2.68334 + 10.61298I
u = 0.122069 + 0.573149I
a = 0.535052 − 0.968480I
b = −0.17488 + 1.44407I
−3.21831 + 0.69024I 2.68334 − 10.61298I
u = 0.122069 − 0.573149I
a = 0.535052 + 0.968480I
b = −0.17488 − 1.44407I
−3.21831 − 0.69024I 2.68334 + 10.61298I
u = −1.30393 + 0.83343I
a = −0.820076 + 0.290489I
b = −0.616765 + 0.580357I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = −1.30393 − 0.83343I
a = −0.820076 − 0.290489I
b = −0.616765 − 0.580357I
2.18727 + 7.89459I 4.23219 − 13.00098I
38
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26214 + 1.01347I
a = −0.012932 − 0.481939I
b = 0.291649 − 0.757555I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = 1.26214 − 1.01347I
a = −0.012932 + 0.481939I
b = 0.291649 + 0.757555I
−3.90376 + 2.86500I −8.91554 − 9.10702I
39
IX. I
u
9
=
h7u
11
−23u
10
+· · ·+2b−6, 14u
11
−48u
10
+· · ·+2a−23, u
12
−4u
11
+· · ·−6u+1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−7u
11
+ 24u
10
+ ··· −
115
2
u +
23
2
−
7
2
u
11
+
23
2
u
10
+ ··· − 18u + 3
a
4
=
1
u
2
a
2
=
−6u
11
+ 21u
10
+ ··· −
113
2
u +
25
2
−
7
2
u
11
+
21
2
u
10
+ ··· − 13u + 2
a
8
=
−3u
11
+ 11u
10
+ ··· −
63
2
u + 10
−
5
2
u
11
+
19
2
u
10
+ ··· −
41
2
u + 5
a
6
=
−5u
11
+
37
2
u
10
+ ··· −
105
2
u +
31
2
−u
11
+
9
2
u
10
+ ··· −
33
2
u + 5
a
12
=
−
7
2
u
11
+
25
2
u
10
+ ··· −
79
2
u +
17
2
−
7
2
u
11
+
23
2
u
10
+ ··· − 18u + 3
a
10
=
−
3
2
u
11
+ 4u
10
+ ··· − 4u +
5
2
u
11
−
5
2
u
10
+ ··· − 5u +
5
2
a
11
=
7
2
u
11
−
29
2
u
10
+ ··· +
97
2
u − 12
2u
11
− 7u
10
+ ··· +
23
2
u −
5
2
a
3
=
−4u
11
+
23
2
u
10
+ ··· − 15u + 4
−
3
2
u
11
+ 7u
10
+ ··· − 23u + 5
a
7
=
−
7
2
u
11
+ 14u
10
+ ··· − 40u + 12
1
2
u
11
−
1
2
u
10
+ ··· − 9u +
7
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −42u
11
+ 148u
10
− 218u
9
+ 46u
8
+ 84u
7
+ 300u
6
− 1216u
5
+
1720u
4
− 1468u
3
+ 822u
2
− 320u + 70
40
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
c
10
u
12
+ 4u
11
+ ··· + 4u + 1
c
3
, c
4
, c
11
c
12
u
12
+ 4u
11
+ ··· + 6u + 1
c
6
, c
9
(u
6
+ 3u
5
+ 7u
4
+ 10u
3
+ 10u
2
+ 7u + 3)
2
c
7
, c
8
(u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1)
2
41
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
10
y
12
− 10y
11
+ ··· − 14y + 1
c
3
, c
4
, c
11
c
12
y
12
− 2y
11
+ ··· + 2y + 1
c
6
, c
9
(y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
c
7
, c
8
(y
6
+ 5y
5
+ 9y
4
+ 8y
3
+ 6y
2
+ 3y + 1)
2
42
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 0.472106 + 0.621380I
a = −0.999050 − 0.289692I
b = −1.26214 + 1.01347I
−3.90376 + 2.86500I −8.91554 − 9.10702I
u = 0.472106 − 0.621380I
a = −0.999050 + 0.289692I
b = −1.26214 − 1.01347I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = 0.827224 + 1.062250I
a = 0.621560 − 0.096583I
b = 1.30393 + 0.83343I
2.18727 + 7.89459I 4.23219 − 13.00098I
u = 0.827224 − 1.062250I
a = 0.621560 + 0.096583I
b = 1.30393 − 0.83343I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = 0.620396 + 0.188443I
a = −0.38922 − 2.20943I
b = −0.122069 − 0.573149I
−3.21831 + 0.69024I 2.68334 − 10.61298I
u = 0.620396 − 0.188443I
a = −0.38922 + 2.20943I
b = −0.122069 + 0.573149I
−3.21831 − 0.69024I 2.68334 + 10.61298I
u = 0.122069 + 0.573149I
a = −2.34804 − 0.80521I
b = −0.620396 − 0.188443I
−3.21831 + 0.69024I 2.68334 − 10.61298I
u = 0.122069 − 0.573149I
a = −2.34804 + 0.80521I
b = −0.620396 + 0.188443I
−3.21831 − 0.69024I 2.68334 + 10.61298I
u = −1.30393 + 0.83343I
a = −0.537783 + 0.101351I
b = −0.827224 + 1.062250I
2.18727 − 7.89459I 4.23219 + 13.00098I
u = −1.30393 − 0.83343I
a = −0.537783 − 0.101351I
b = −0.827224 − 1.062250I
2.18727 + 7.89459I 4.23219 − 13.00098I
43
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26214 + 1.01347I
a = 0.152534 + 0.477734I
b = −0.472106 + 0.621380I
−3.90376 − 2.86500I −8.91554 + 9.10702I
u = 1.26214 − 1.01347I
a = 0.152534 − 0.477734I
b = −0.472106 − 0.621380I
−3.90376 + 2.86500I −8.91554 − 9.10702I
44
X. I
u
10
= hb − 2u, a − 2, 2u
2
− 2u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
2
2u
a
4
=
1
u −
1
2
a
2
=
1
u +
1
2
a
8
=
−4u
−3u + 2
a
6
=
4u − 5
−3u −
1
2
a
12
=
−2u + 2
2u
a
10
=
2u − 2
−u
a
11
=
−2u − 2
−4u + 2
a
3
=
4u
3u −
5
2
a
7
=
4u − 4
−2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9u
45
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
(u + 1)
2
c
2
2(2u
2
+ 2u + 5)
c
3
2(2u
2
+ 2u + 1)
c
4
2(2u
2
− 2u + 1)
c
5
2(2u
2
− 2u + 5)
c
6
, c
10
(u − 1)
2
c
7
, c
11
u
2
− 2u + 2
c
8
, c
12
u
2
+ 2u + 2
46
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
9
c
10
(y − 1)
2
c
2
, c
5
4(4y
2
+ 16y + 25)
c
3
, c
4
4(4y
2
+ 1)
c
7
, c
8
, c
11
c
12
y
2
+ 4
47
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
10
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.500000I
a = 2.00000
b = 1.00000 + 1.00000I
1.64493 + 7.32772I −4.50000 − 4.50000I
u = 0.500000 − 0.500000I
a = 2.00000
b = 1.00000 − 1.00000I
1.64493 − 7.32772I −4.50000 + 4.50000I
48
XI. I
u
11
= hb + u, 2a − 1, u
2
+ 2u + 2i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
0.5
−u
a
4
=
1
−2u − 2
a
2
=
−0.5
u + 2
a
8
=
−
1
4
u
−1
a
6
=
1
4
u + 1
1
a
12
=
u +
1
2
−u
a
10
=
−
1
4
u − 2
2u + 3
a
11
=
−
1
2
u − 2
2u + 2
a
3
=
u
2
a
7
=
−
5
4
u − 1
u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =
9
2
u
49
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
(u + 1)
2
c
2
, c
10
(u − 1)
2
c
3
, c
11
u
2
− 2u + 2
c
4
, c
12
u
2
+ 2u + 2
c
6
2(2u
2
+ 2u + 5)
c
7
2(2u
2
+ 2u + 1)
c
8
2(2u
2
− 2u + 1)
c
9
2(2u
2
− 2u + 5)
50
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
10
(y − 1)
2
c
3
, c
4
, c
11
c
12
y
2
+ 4
c
6
, c
9
4(4y
2
+ 16y + 25)
c
7
, c
8
4(4y
2
+ 1)
51
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
11
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000 + 1.00000I
a = 0.500000
b = 1.00000 − 1.00000I
1.64493 − 7.32772I −4.50000 + 4.50000I
u = −1.00000 − 1.00000I
a = 0.500000
b = 1.00000 + 1.00000I
1.64493 + 7.32772I −4.50000 − 4.50000I
52
XII. I
u
12
= h2b − u, a + 1, u
2
+ 2u + 2i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−1
1
2
u
a
4
=
1
−2u − 2
a
2
=
3
2
u + 1
−
1
2
u + 2
a
8
=
−u
−1
a
6
=
u + 1
1
a
12
=
−
1
2
u − 1
1
2
u
a
10
=
1
2
u + 1
1
2
u
a
11
=
−
1
2
u − 2
2u + 2
a
3
=
u
2
a
7
=
u + 2
−2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =
9
2
u
53
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
2(2u
2
− 2u + 5)
c
2
, c
6
(u − 1)
2
c
3
, c
7
u
2
− 2u + 2
c
4
, c
8
u
2
+ 2u + 2
c
5
, c
9
(u + 1)
2
c
10
2(2u
2
+ 2u + 5)
c
11
2(2u
2
+ 2u + 1)
c
12
2(2u
2
− 2u + 1)
54
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
4(4y
2
+ 16y + 25)
c
2
, c
5
, c
6
c
9
(y − 1)
2
c
3
, c
4
, c
7
c
8
y
2
+ 4
c
11
, c
12
4(4y
2
+ 1)
55
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
12
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000 + 1.00000I
a = −1.00000
b = −0.500000 + 0.500000I
1.64493 − 7.32772I −4.50000 + 4.50000I
u = −1.00000 − 1.00000I
a = −1.00000
b = −0.500000 − 0.500000I
1.64493 + 7.32772I −4.50000 − 4.50000I
56
XIII. I
u
13
= hb + u, a − 1, u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1
−u
a
4
=
1
u
2
a
2
=
u
2
+ u + 1
u
4
+ u
3
− u
a
8
=
−u
u
2
+ u
a
6
=
−u
3
− u
2
+ 1
u
4
+ 2u
3
+ u
2
a
12
=
u + 1
−u
a
10
=
−u
3
− 2u
2
− u
u
3
+ u
2
+ u
a
11
=
−u
5
− 3u
4
− 5u
3
− 4u
2
− 2u − 1
u
5
+ 2u
4
+ 3u
3
+ 2u
2
+ 2u
a
3
=
u
4
+ 2u
3
+ 3u
2
+ 2u + 2
−u
5
− 2u
4
− 3u
3
− 2u
2
− 2u − 1
a
7
=
−u
5
− 2u
4
− 3u
3
− u
2
+ 1
−1
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3u
5
+ 6u
4
+ 6u
3
+ 3u
2
+ 3u + 6
57
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
u
6
− 4u
5
+ 7u
4
− 7u
3
+ 6u
2
− 3u + 1
c
3
, c
4
, c
7
c
8
, c
11
, c
12
u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1
58
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
y
6
− 2y
5
+ 5y
4
+ 13y
3
+ 8y
2
+ 3y + 1
c
3
, c
4
, c
7
c
8
, c
11
, c
12
y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1
59
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
13
√
−1(vol +
√
−1CS) Cusp shape
u = −0.917045 + 0.592379I
a = 1.00000
b = 0.917045 − 0.592379I
2.21137 − 1.58317I 4.72185 + 1.10697I
u = −0.917045 − 0.592379I
a = 1.00000
b = 0.917045 + 0.592379I
2.21137 + 1.58317I 4.72185 − 1.10697I
u = 0.258209 + 0.569162I
a = 1.00000
b = −0.258209 − 0.569162I
2.21137 − 1.58317I 4.72185 + 1.10697I
u = 0.258209 − 0.569162I
a = 1.00000
b = −0.258209 + 0.569162I
2.21137 + 1.58317I 4.72185 − 1.10697I
u = −0.84116 + 1.20014I
a = 1.00000
b = 0.84116 − 1.20014I
−7.71260 −3.44370 + 0.I
u = −0.84116 − 1.20014I
a = 1.00000
b = 0.84116 + 1.20014I
−7.71260 −3.44370 + 0.I
60
XIV. I
u
14
= h−u
4
+ 3u
3
− au − 4u
2
+ b + u, −u
5
+ 2u
4
+ · · · − a − 4, u
6
−
3u
5
+ 5u
4
− 4u
3
+ 4u
2
− u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
a
u
4
− 3u
3
+ au + 4u
2
− u
a
4
=
1
u
2
a
2
=
−u
4
+ u
2
a + 3u
3
− au − 4u
2
+ a + u
u
4
a − u
3
a + 2u
4
− 6u
3
+ au + 8u
2
− 2u + 1
a
8
=
u
4
a − u
5
− 3u
3
a + 4u
4
+ 4u
2
a − 8u
3
− au + 8u
2
− 5u + 1
u
5
− 3u
4
+ 4u
3
− u
2
+ u + 1
a
6
=
−2u
5
a − 3u
5
+ ··· − 2a + 1
2u
2
− u + 2
a
12
=
−u
4
+ 3u
3
− au − 4u
2
+ a + u
u
4
− 3u
3
+ au + 4u
2
− u
a
10
=
2u
4
a − 6u
3
a + 2u
4
+ 8u
2
a − 6u
3
− 2au + 8u
2
+ a − 2u
−u
4
a − 2u
5
+ 3u
3
a + 5u
4
− 4u
2
a − 6u
3
+ au + u
2
− a − 2u
a
11
=
u
5
a − 2u
4
a + 2u
5
+ u
3
a − 4u
4
+ 3u
2
a + 3u
3
− au + 4u
2
+ 2a − u + 3
−u
5
a + 2u
4
a − 2u
5
− u
3
a + 6u
4
− u
2
a − 8u
3
+ 3u
2
− a − 3u
a
3
=
u
5
a − 3u
4
a + 2u
5
+ 4u
3
a − 6u
4
− u
2
a + 8u
3
+ au − 3u
2
− a + 2u − 1
−u
5
a + 3u
4
a − 2u
5
− 3u
3
a + 7u
4
− 11u
3
− au + 7u
2
− 3u + 2
a
7
=
−u
5
a − 2u
5
+ ··· − a − 1
−u
4
a + u
3
a − 2u
2
a + u
2
− a − 2u + 2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −18
61
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
(u
6
+ 5u
5
+ 9u
4
+ 2u
3
− 8u
2
− 3u + 3)
2
c
3
, c
4
, c
7
c
8
, c
11
, c
12
(u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 4u
2
+ u + 1)
2
62
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
(y
6
− 7y
5
+ 45y
4
− 112y
3
+ 130y
2
− 57y + 9)
2
c
3
, c
4
, c
7
c
8
, c
11
, c
12
(y
6
+ y
5
+ 9y
4
+ 20y
3
+ 18y
2
+ 7y + 1)
2
63
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
14
√
−1(vol +
√
−1CS) Cusp shape
u = 0.211259 + 0.877801I
a = −0.689616 − 0.078152I
b = −1.36583 + 1.12197I
−4.93480 −18.0000
u = 0.211259 + 0.877801I
a = −0.85421 − 1.76155I
b = 0.077086 + 0.621856I
−4.93480 −18.0000
u = 0.211259 − 0.877801I
a = −0.689616 + 0.078152I
b = −1.36583 − 1.12197I
−4.93480 −18.0000
u = 0.211259 − 0.877801I
a = −0.85421 + 1.76155I
b = 0.077086 − 0.621856I
−4.93480 −18.0000
u = −0.077086 + 0.621856I
a = −1.43169 − 0.16225I
b = −1.36583 − 1.12197I
−4.93480 −18.0000
u = −0.077086 + 0.621856I
a = 1.50878 − 2.38340I
b = −0.211259 + 0.877801I
−4.93480 −18.0000
u = −0.077086 − 0.621856I
a = −1.43169 + 0.16225I
b = −1.36583 + 1.12197I
−4.93480 −18.0000
u = −0.077086 − 0.621856I
a = 1.50878 + 2.38340I
b = −0.211259 − 0.877801I
−4.93480 −18.0000
u = 1.36583 + 1.12197I
a = −0.222873 − 0.459607I
b = 0.077086 − 0.621856I
−4.93480 −18.0000
u = 1.36583 + 1.12197I
a = 0.189616 + 0.299534I
b = −0.211259 + 0.877801I
−4.93480 −18.0000
64
Solutions to I
u
14
√
−1(vol +
√
−1CS) Cusp shape
u = 1.36583 − 1.12197I
a = −0.222873 + 0.459607I
b = 0.077086 + 0.621856I
−4.93480 −18.0000
u = 1.36583 − 1.12197I
a = 0.189616 − 0.299534I
b = −0.211259 − 0.877801I
−4.93480 −18.0000
65
XV. I
u
15
= hb + u, −u
3
− u
2
+ a − 1, u
4
+ u
3
+ u
2
+ u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
u
3
+ u
2
+ 1
−u
a
4
=
1
u
2
a
2
=
u
2
+ 1
−u − 1
a
8
=
u
2
− u + 1
−u
3
a
6
=
−2u
3
− u
2
− u − 1
u
a
12
=
u
3
+ u
2
+ u + 1
−u
a
10
=
u
3
+ u
2
+ u + 1
0
a
11
=
−u
3
+ u
2
−1
a
3
=
u
2
− u + 1
−u
3
− u − 1
a
7
=
−2u
3
− u
2
− u − 2
−u
2
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 7u
3
+ 7u
2
+ 3
66
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
c
11
u
4
− u
3
+ u
2
− u + 1
c
2
, c
4
, c
10
c
12
u
4
+ u
3
+ u
2
+ u + 1
c
6
(u + 1)
4
c
7
u
4
+ 3u
3
+ 4u
2
+ 2u + 1
c
8
u
4
− 3u
3
+ 4u
2
− 2u + 1
c
9
(u − 1)
4
67
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
10
c
11
, c
12
y
4
+ y
3
+ y
2
+ y + 1
c
6
, c
9
(y − 1)
4
c
7
, c
8
y
4
− y
3
+ 6y
2
+ 4y + 1
68
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
15
√
−1(vol +
√
−1CS) Cusp shape
u = 0.309017 + 0.951057I
a = −0.618034
b = −0.309017 − 0.951057I
−3.94784 −8.32624 + 0.I
u = 0.309017 − 0.951057I
a = −0.618034
b = −0.309017 + 0.951057I
−3.94784 −8.32624 + 0.I
u = −0.809017 + 0.587785I
a = 1.61803
b = 0.809017 − 0.587785I
3.94784 7.32624 + 0.I
u = −0.809017 − 0.587785I
a = 1.61803
b = 0.809017 + 0.587785I
3.94784 7.32624 + 0.I
69
XVI. I
u
16
= hu
2
+ b + 1, a + 1, u
4
+ u
3
+ u
2
+ u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−1
−u
2
− 1
a
4
=
1
u
2
a
2
=
0
−1
a
8
=
−u
−u
3
a
6
=
−u
3
− u
2
− u
u
a
12
=
u
2
−u
2
− 1
a
10
=
−1
u
3
+ u + 1
a
11
=
u − 1
2u
3
+ u + 1
a
3
=
−u
3
− u
2
− u − 1
u
3
+ u
a
7
=
−u
3
− u
−u
3
− u
2
− 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 7u
3
+ 7u
2
+ 3
70
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u − 1)
4
c
2
, c
4
, c
6
c
8
u
4
+ u
3
+ u
2
+ u + 1
c
3
, c
5
, c
7
c
9
u
4
− u
3
+ u
2
− u + 1
c
10
(u + 1)
4
c
11
u
4
+ 3u
3
+ 4u
2
+ 2u + 1
c
12
u
4
− 3u
3
+ 4u
2
− 2u + 1
71
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
(y − 1)
4
c
2
, c
3
, c
4
c
5
, c
6
, c
7
c
8
, c
9
y
4
+ y
3
+ y
2
+ y + 1
c
11
, c
12
y
4
− y
3
+ 6y
2
+ 4y + 1
72
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
16
√
−1(vol +
√
−1CS) Cusp shape
u = 0.309017 + 0.951057I
a = −1.00000
b = −0.190983 − 0.587785I
−3.94784 −8.32624 + 0.I
u = 0.309017 − 0.951057I
a = −1.00000
b = −0.190983 + 0.587785I
−3.94784 −8.32624 + 0.I
u = −0.809017 + 0.587785I
a = −1.00000
b = −1.30902 + 0.95106I
3.94784 7.32624 + 0.I
u = −0.809017 − 0.587785I
a = −1.00000
b = −1.30902 − 0.95106I
3.94784 7.32624 + 0.I
73
XVII.
I
u
17
= hu
3
− 3u
2
+ b + 3u − 1, u
3
− 2u
2
+ a + u + 1, u
4
− 3u
3
+ 4u
2
− 2u + 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−u
3
+ 2u
2
− u − 1
−u
3
+ 3u
2
− 3u + 1
a
4
=
1
u
2
a
2
=
u − 1
u
2
− 2u
a
8
=
−u
3
+ 3u
2
− 4u + 1
1
a
6
=
−u
3
+ 3u
2
− 4u + 2
1
a
12
=
−u
2
+ 2u − 2
−u
3
+ 3u
2
− 3u + 1
a
10
=
−u
3
+ 2u
2
− u − 1
u
2
− u + 1
a
11
=
−u
2
+ 2u − 1
u
2
a
3
=
u
2
− u + 1
u
3
− 2u
2
+ u − 1
a
7
=
−u
3
+ 3u
2
− 3u + 1
u
3
− u
2
+ 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −7u
3
+ 14u
2
− 7u − 4
74
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
, c
9
c
11
u
4
− u
3
+ u
2
− u + 1
c
2
(u + 1)
4
c
3
u
4
+ 3u
3
+ 4u
2
+ 2u + 1
c
4
u
4
− 3u
3
+ 4u
2
− 2u + 1
c
5
(u − 1)
4
c
6
, c
8
, c
10
c
12
u
4
+ u
3
+ u
2
+ u + 1
75
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
7
c
8
, c
9
, c
10
c
11
, c
12
y
4
+ y
3
+ y
2
+ y + 1
c
2
, c
5
(y − 1)
4
c
3
, c
4
y
4
− y
3
+ 6y
2
+ 4y + 1
76
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
17
√
−1(vol +
√
−1CS) Cusp shape
u = 0.190983 + 0.587785I
a = −1.61803
b = −0.309017 − 0.951057I
−3.94784 −8.32624 + 0.I
u = 0.190983 − 0.587785I
a = −1.61803
b = −0.309017 + 0.951057I
−3.94784 −8.32624 + 0.I
u = 1.30902 + 0.95106I
a = 0.618034
b = 0.809017 + 0.587785I
3.94784 7.32624 + 0.I
u = 1.30902 − 0.95106I
a = 0.618034
b = 0.809017 − 0.587785I
3.94784 7.32624 + 0.I
77
XVIII. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
4(u − 1)
4
(u + 1)
4
(u
2
− u + 1)
2
(2u
2
− 2u + 5)(u
4
− 2u
3
+ ··· + 4u − 1)
· (u
4
− u
3
+ u
2
− u + 1)
2
(u
6
− 4u
5
+ 7u
4
− 7u
3
+ 6u
2
− 3u + 1)
· (u
6
− 2u
5
− u
4
+ 7u
3
− 2u
2
− 7u + 5)
· (u
6
+ 3u
5
+ 7u
4
+ 10u
3
+ 10u
2
+ 7u + 3)
2
· ((u
6
+ 5u
5
+ ··· − 3u + 3)
2
)(u
12
+ 4u
11
+ ··· + 4u + 1)
2
· ((u
18
+ 5u
17
+ ··· + 29u + 11)
2
)(2u
18
− 42u
17
+ ··· − 32768u + 4096)
c
2
, c
6
, c
10
4(u − 1)
4
(u + 1)
4
(u
2
+ u + 1)
2
(2u
2
+ 2u + 5)(u
4
− 2u
3
+ ··· + 4u − 1)
· (u
4
+ u
3
+ u
2
+ u + 1)
2
(u
6
− 4u
5
+ 7u
4
− 7u
3
+ 6u
2
− 3u + 1)
· (u
6
+ 2u
5
− u
4
− 7u
3
− 2u
2
+ 7u + 5)
· (u
6
+ 3u
5
+ 7u
4
+ 10u
3
+ 10u
2
+ 7u + 3)
2
· ((u
6
+ 5u
5
+ ··· − 3u + 3)
2
)(u
12
+ 4u
11
+ ··· + 4u + 1)
2
· ((u
18
+ 5u
17
+ ··· + 29u + 11)
2
)(2u
18
− 42u
17
+ ··· − 32768u + 4096)
c
3
, c
7
, c
11
4(u
2
− 2u + 2)
2
(2u
2
+ 2u + 1)(u
4
− 2u
3
+ 2u
2
+ u − 1)
· ((u
4
− u
3
+ u
2
− u + 1)
2
)(u
4
+ 2u
3
+ 2u
2
+ u + 1)(u
4
+ 3u
3
+ ··· + 2u + 1)
· (u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)(u
6
+ u
5
+ u
4
− 2u
3
− u + 1)
· (u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1)
2
· ((u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 4u
2
+ u + 1)
2
)(u
12
+ 4u
11
+ ··· + 6u + 1)
2
· ((u
18
+ 5u
17
+ ··· + 6u + 2)
2
)(2u
18
− 36u
17
+ ··· − 288u + 64)
c
4
, c
8
, c
12
4(u
2
+ 2u + 2)
2
(2u
2
− 2u + 1)(u
4
− 3u
3
+ 4u
2
− 2u + 1)
· (u
4
− 2u
3
+ 2u
2
− u + 1)(u
4
− 2u
3
+ 2u
2
+ u − 1)(u
4
+ u
3
+ u
2
+ u + 1)
2
· (u
6
− 3u
5
+ 5u
4
− 4u
3
+ 2u
2
− u + 1)(u
6
− u
5
+ u
4
+ 2u
3
+ u + 1)
· (u
6
+ u
5
+ 3u
4
+ 2u
3
+ 2u
2
+ u + 1)
2
· ((u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 4u
2
+ u + 1)
2
)(u
12
+ 4u
11
+ ··· + 6u + 1)
2
· ((u
18
+ 5u
17
+ ··· + 6u + 2)
2
)(2u
18
− 36u
17
+ ··· − 288u + 64)
78
XIX. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
, c
10
16(y − 1)
8
(y
2
+ y + 1)
2
(4y
2
+ 16y + 25)(y
4
− 2y
3
+ ··· − 18y + 1)
· (y
4
+ y
3
+ y
2
+ y + 1)
2
· (y
6
− 7y
5
+ 45y
4
− 112y
3
+ 130y
2
− 57y + 9)
2
· (y
6
− 6y
5
+ 25y
4
− 63y
3
+ 92y
2
− 69y + 25)
· (y
6
− 2y
5
+ 5y
4
+ 13y
3
+ 8y
2
+ 3y + 1)
· (y
6
+ 5y
5
+ 9y
4
+ 4y
3
+ 2y
2
+ 11y + 9)
2
· ((y
12
− 10y
11
+ ··· − 14y + 1)
2
)(y
18
− 7y
17
+ ··· − 1171y + 121)
2
· (4y
18
− 48y
17
+ ··· + 5242880y
2
+ 16777216)
c
3
, c
4
, c
7
c
8
, c
11
, c
12
16(y
2
+ 4)
2
(4y
2
+ 1)(y
4
+ 2y
2
+ 3y + 1)(y
4
+ 6y
2
− 5y + 1)
· (y
4
− y
3
+ 6y
2
+ 4y + 1)(y
4
+ y
3
+ y
2
+ y + 1)
2
· (y
6
+ y
5
+ 5y
4
− 2y
2
− y + 1)(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
· (y
6
+ y
5
+ 9y
4
+ 20y
3
+ 18y
2
+ 7y + 1)
2
· ((y
6
+ 5y
5
+ ··· + 3y + 1)
2
)(y
12
− 2y
11
+ ··· + 2y + 1)
2
· ((y
18
+ 3y
17
+ ··· + 16y + 4)
2
)(4y
18
− 36y
17
+ ··· − 50176y + 4096)
79
