12a
0647
(K12a
0647
)
A knot diagram
1
Linearized knot diagam
3 7 10 11 9 2 12 5 6 4 1 8
Solving Sequence
3,10
4 11
5,7
2 1 12 6 9 8
c
3
c
10
c
4
c
2
c
1
c
11
c
6
c
9
c
8
c
5
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= hu
15
− 6u
14
+ ··· + 8b − 10, u
14
− 3u
13
+ ··· + 8a − 2, u
16
− 3u
15
+ ··· + 13u
2
− 2i
I
u
2
= h9u
7
− 7u
6
− 24u
5
− u
4
+ 13u
3
+ 35u
2
+ 23b + 8u − 39,
66u
7
− 13u
6
− 153u
5
− 107u
4
+ 149u
3
+ 249u
2
+ 161a − 64u − 194,
u
8
− 2u
7
− 2u
6
+ 4u
5
+ 3u
4
− u
3
− 5u
2
− 4u + 7i
I
u
3
= h−u
11
a − u
10
a + ··· + 2a − 3, 2u
11
a − u
11
+ ··· − 4a + 1,
u
12
+ u
11
− 7u
10
− 6u
9
+ 18u
8
+ 11u
7
− 19u
6
− 2u
5
+ 6u
4
− 8u
3
+ 1i
I
u
4
= h−340u
15
a − 770u
15
+ ··· + 249a + 651, −180u
15
a + 621u
15
+ ··· − 493a + 1534,
u
16
+ u
15
+ ··· + 6u − 1i
I
u
5
= h2a
3
+ 2a
2
+ b + 5a + 3, 2a
4
+ 2a
3
+ 5a
2
+ 4a + 1, u − 1i
I
u
6
= hu
3
+ b − u − 1, −u
11
+ 4u
9
+ 4u
8
− 7u
7
− 11u
6
+ 2u
5
+ 12u
4
+ 3u
3
− 4u
2
+ 2a − u + 1,
u
12
− u
11
− 4u
10
+ 9u
8
+ 6u
7
− 7u
6
− 10u
5
− 3u
4
+ 3u
3
+ 5u
2
+ 2u + 1i
I
u
7
= hb − 1, 6a + u − 3, u
2
− 3i
I
u
8
= h−2au + 4b + 2a − u + 5, 4a
2
+ 4a − 7, u
2
− 2u + 1i
I
u
9
= hb, a + 1, u + 1i
I
u
10
= h2a
3
+ 4a
2
+ b + 6a + 3, 2a
4
+ 4a
3
+ 6a
2
+ 4a + 1, u + 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 + 1, u − 1i
I
v
1
= ha, b − 1, v + 1i
* 11 irreducible components of dim
C
= 0, with total 108 representations.
* 1 irreducible components of dim
C
= 1
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
=
hu
15
−6u
14
+· · ·+8b −10, u
14
−3u
13
+· · ·+8a −2, u
16
−3u
15
+· · ·+13u
2
−2i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
11
=
−u
−u
3
+ u
a
5
=
−u
2
+ 1
−u
4
+ 2u
2
a
7
=
−
1
8
u
14
+
3
8
u
13
+ ··· +
1
2
u +
1
4
−
1
8
u
15
+
3
4
u
14
+ ··· −
3
4
u +
5
4
a
2
=
−
1
8
u
14
+
3
8
u
13
+ ··· +
1
2
u +
1
4
5
8
u
15
−
3
2
u
14
+ ··· +
7
4
u −
3
4
a
1
=
5
8
u
15
−
13
8
u
14
+ ··· +
9
4
u −
1
2
5
8
u
15
−
3
2
u
14
+ ··· +
7
4
u −
3
4
a
12
=
1
8
u
14
−
3
8
u
13
+ ··· −
1
2
u −
1
4
−
1
8
u
15
+
3
4
u
14
+ ··· +
5
4
u +
1
4
a
6
=
1
1
4
u
15
−
3
4
u
14
+ ··· + 3u
2
+
1
2
u
a
9
=
u
1
4
u
14
−
3
4
u
13
+ ··· + u +
1
2
a
8
=
−u
3
+ 2u
1
4
u
14
−
3
4
u
13
+ ··· + u +
1
2
(ii) Obstruction class = −1
(iii) Cusp Shapes =
1
4
u
15
+
1
2
u
14
−
7
2
u
13
−
13
4
u
12
+ 16u
11
+
25
4
u
10
− 26u
9
−
15
4
u
8
−
2u
7
+ 3u
6
+
71
2
u
5
+ 3u
4
−
43
4
u
3
−
73
4
u
2
−
17
2
u −
25
2
3
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
16
+ 7u
15
+ ··· + 44u + 4
c
2
, c
6
, c
7
c
12
u
16
− 3u
15
+ ··· + 2u + 2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
16
+ 3u
15
+ ··· + 13u
2
− 2
4
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
16
+ 9y
15
+ ··· − 912y + 16
c
2
, c
6
, c
7
c
12
y
16
− 7y
15
+ ··· − 44y + 4
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y
16
− 21y
15
+ ··· − 52y + 4
5
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.460675 + 0.652431I
a = −0.24371 − 1.70252I
b = −1.082390 + 0.575570I
−0.65793 + 8.23117I −13.0423 − 9.7478I
u = −0.460675 − 0.652431I
a = −0.24371 + 1.70252I
b = −1.082390 − 0.575570I
−0.65793 − 8.23117I −13.0423 + 9.7478I
u = −0.072765 + 0.670397I
a = 0.742469 + 1.137170I
b = −0.597448 − 0.616549I
2.40804 − 1.30590I −6.45602 + 2.87023I
u = −0.072765 − 0.670397I
a = 0.742469 − 1.137170I
b = −0.597448 + 0.616549I
2.40804 + 1.30590I −6.45602 − 2.87023I
u = −1.373820 + 0.091320I
a = 0.060941 − 1.153540I
b = −0.954330 + 0.864485I
−4.84234 + 6.50433I −18.6838 − 5.6582I
u = −1.373820 − 0.091320I
a = 0.060941 + 1.153540I
b = −0.954330 − 0.864485I
−4.84234 − 6.50433I −18.6838 + 5.6582I
u = −0.600707 + 0.156541I
a = 0.458062 − 0.140381I
b = 0.995675 + 0.611607I
−1.05898 − 4.82166I −12.56614 + 2.63826I
u = −0.600707 − 0.156541I
a = 0.458062 + 0.140381I
b = 0.995675 − 0.611607I
−1.05898 + 4.82166I −12.56614 − 2.63826I
u = 1.46308 + 0.25525I
a = 0.482041 − 0.685495I
b = −0.313593 + 0.976118I
−7.57778 − 5.08797I −15.4427 + 2.0730I
u = 1.46308 − 0.25525I
a = 0.482041 + 0.685495I
b = −0.313593 − 0.976118I
−7.57778 + 5.08797I −15.4427 − 2.0730I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54279 + 0.38128I
a = −0.60505 + 1.42874I
b = −1.251330 − 0.593482I
−13.5367 − 16.5917I −19.8881 + 8.7336I
u = 1.54279 − 0.38128I
a = −0.60505 − 1.42874I
b = −1.251330 + 0.593482I
−13.5367 + 16.5917I −19.8881 − 8.7336I
u = 0.312284
a = 0.735032
b = 0.360485
−0.574194 −17.1260
u = 1.73739 + 0.15693I
a = 0.464177 + 0.067848I
b = 1.109290 − 0.308310I
−17.5882 + 1.3769I −22.4716 − 5.7757I
u = 1.73739 − 0.15693I
a = 0.464177 − 0.067848I
b = 1.109290 + 0.308310I
−17.5882 − 1.3769I −22.4716 + 5.7757I
u = −1.78286
a = 0.547112
b = 0.827780
−15.7038 −9.77250
7
II. I
u
2
=
h9u
7
−7u
6
+· · ·+23b−39, 66u
7
−13u
6
+· · ·+161a−194, u
8
−2u
7
+· · ·−4u+7i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
11
=
−u
−u
3
+ u
a
5
=
−u
2
+ 1
−u
4
+ 2u
2
a
7
=
−0.409938u
7
+ 0.0807453u
6
+ ··· + 0.397516u + 1.20497
−0.391304u
7
+ 0.304348u
6
+ ··· − 0.347826u + 1.69565
a
2
=
0.732919u
7
− 0.204969u
6
+ ··· − 0.316770u − 3.36646
0.130435u
7
− 0.434783u
6
+ ··· − 0.217391u − 1.56522
a
1
=
0.863354u
7
− 0.639752u
6
+ ··· − 0.534161u − 4.93168
0.130435u
7
− 0.434783u
6
+ ··· − 0.217391u − 1.56522
a
12
=
0.0248447u
7
+ 0.298137u
6
+ ··· − 0.993789u + 0.987578
0.521739u
7
+ 0.260870u
6
+ ··· + 1.13043u − 2.26087
a
6
=
−0.161491u
7
+ 0.0621118u
6
+ ··· − 0.540373u − 0.919255
−0.652174u
7
+ 0.173913u
6
+ ··· + 0.0869565u + 2.82609
a
9
=
0.118012u
7
+ 0.416149u
6
+ ··· + 1.27950u − 0.559006
0.869565u
7
− 0.565217u
6
+ ··· + 1.21739u − 3.43478
a
8
=
0.987578u
7
− 0.149068u
6
+ ··· + 0.496894u − 3.99379
1.17391u
7
− 0.913043u
6
+ ··· − 0.956522u − 7.08696
(ii) Obstruction class = −1
(iii) Cusp Shapes =
12
23
u
7
+
52
23
u
6
−
32
23
u
5
−
124
23
u
4
−
44
23
u
3
+
108
23
u
2
+
72
23
u −
374
23
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
4
+ 3u
3
+ 5u
2
+ 3u + 1)
2
c
2
, c
6
, c
7
c
12
(u
4
+ u
3
− u
2
− u + 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
8
+ 2u
7
− 2u
6
− 4u
5
+ 3u
4
+ u
3
− 5u
2
+ 4u + 7
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y
4
+ y
3
+ 9y
2
+ y + 1)
2
c
2
, c
6
, c
7
c
12
(y
4
− 3y
3
+ 5y
2
− 3y + 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y
8
− 8y
7
+ 26y
6
− 42y
5
+ 35y
4
− 27y
3
+ 59y
2
− 86y + 49
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.443967 + 1.001530I
a = −0.33695 + 1.52789I
b = 1.192440 − 0.547877I
−7.14707 + 11.56320I −17.7958 − 8.2615I
u = −0.443967 − 1.001530I
a = −0.33695 − 1.52789I
b = 1.192440 + 0.547877I
−7.14707 − 11.56320I −17.7958 + 8.2615I
u = 1.160120 + 0.413025I
a = 0.047679 + 0.419061I
b = −0.692440 + 0.318148I
−4.36747 + 1.41376I −16.2042 − 4.7974I
u = 1.160120 − 0.413025I
a = 0.047679 − 0.419061I
b = −0.692440 − 0.318148I
−4.36747 − 1.41376I −16.2042 + 4.7974I
u = −1.230820 + 0.345720I
a = −0.764039 − 0.865204I
b = −0.692440 + 0.318148I
−4.36747 + 1.41376I −16.2042 − 4.7974I
u = −1.230820 − 0.345720I
a = −0.764039 + 0.865204I
b = −0.692440 − 0.318148I
−4.36747 − 1.41376I −16.2042 + 4.7974I
u = 1.51466 + 0.24279I
a = 0.98189 − 1.11892I
b = 1.192440 + 0.547877I
−7.14707 − 11.56320I −17.7958 + 8.2615I
u = 1.51466 − 0.24279I
a = 0.98189 + 1.11892I
b = 1.192440 − 0.547877I
−7.14707 + 11.56320I −17.7958 − 8.2615I
11
III. I
u
3
=
h−u
11
a−u
10
a+· · ·+2a−3, 2u
11
a−u
11
+· · ·−4a+1, u
12
+u
11
+· · ·−8u
3
+1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
11
=
−u
−u
3
+ u
a
5
=
−u
2
+ 1
−u
4
+ 2u
2
a
7
=
a
1
2
u
11
a +
1
2
u
10
a + ··· − a +
3
2
a
2
=
a
−u
11
a − u
10
a + ··· + a −
3
2
a
1
=
−u
11
a − u
10
a + ··· + 2a −
3
2
−u
11
a − u
10
a + ··· + a −
3
2
a
12
=
1
2
u
10
a −
1
2
u
10
+ ··· −
3
2
a +
3
2
1
a
6
=
1
−
1
2
u
11
−
1
2
u
10
+ ··· + 3u
2
+
1
2
u
a
9
=
u
−
1
2
u
10
−
1
2
u
9
+ ··· + u +
1
2
a
8
=
−u
3
+ 2u
−
1
2
u
10
−
1
2
u
9
+ ··· + u +
1
2
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −2u
11
− u
10
+ 15u
9
+ 4u
8
− 41u
7
+ 2u
6
+ 46u
5
− 25u
4
− 14u
3
+ 23u
2
− 4u − 13
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
24
+ 13u
23
+ ··· + 280u + 121
c
2
, c
6
, c
7
c
12
u
24
− 3u
23
+ ··· − 40u + 11
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(u
12
− u
11
− 7u
10
+ 6u
9
+ 18u
8
− 11u
7
− 19u
6
+ 2u
5
+ 6u
4
+ 8u
3
+ 1)
2
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
24
− 5y
23
+ ··· + 60024y + 14641
c
2
, c
6
, c
7
c
12
y
24
− 13y
23
+ ··· − 280y + 121
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(y
12
− 15y
11
+ ··· + 12y
2
+ 1)
2
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.298602 + 0.646764I
a = 0.676873 − 0.802179I
b = −0.385582 + 0.728163I
1.36284 − 3.28049I −9.00565 + 5.25300I
u = 0.298602 + 0.646764I
a = 0.14585 + 1.81517I
b = −0.956017 − 0.547380I
1.36284 − 3.28049I −9.00565 + 5.25300I
u = 0.298602 − 0.646764I
a = 0.676873 + 0.802179I
b = −0.385582 − 0.728163I
1.36284 + 3.28049I −9.00565 − 5.25300I
u = 0.298602 − 0.646764I
a = 0.14585 − 1.81517I
b = −0.956017 + 0.547380I
1.36284 + 3.28049I −9.00565 − 5.25300I
u = 1.37505
a = 0.230814 + 1.020720I
b = −0.789240 − 0.932040I
−4.33833 −18.1100
u = 1.37505
a = 0.230814 − 1.020720I
b = −0.789240 + 0.932040I
−4.33833 −18.1100
u = 0.527999
a = 0.534112 + 0.186718I
b = 0.668373 − 0.583240I
−0.0415570 −11.1730
u = 0.527999
a = 0.534112 − 0.186718I
b = 0.668373 + 0.583240I
−0.0415570 −11.1730
u = −1.50349 + 0.33368I
a = 0.486081 + 0.616876I
b = −0.211945 − 1.000110I
−10.3396 + 10.8681I −17.3574 − 5.7403I
u = −1.50349 + 0.33368I
a = −0.48833 − 1.44566I
b = −1.209730 + 0.620883I
−10.3396 + 10.8681I −17.3574 − 5.7403I
15
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50349 − 0.33368I
a = 0.486081 − 0.616876I
b = −0.211945 + 1.000110I
−10.3396 − 10.8681I −17.3574 + 5.7403I
u = −1.50349 − 0.33368I
a = −0.48833 + 1.44566I
b = −1.209730 − 0.620883I
−10.3396 − 10.8681I −17.3574 + 5.7403I
u = −1.54202 + 0.13644I
a = 0.652546 + 0.799251I
b = −0.387061 − 0.750740I
−13.39880 + 1.20346I −19.4759 + 0.4307I
u = −1.54202 + 0.13644I
a = 0.422211 − 0.033636I
b = 1.353550 + 0.187496I
−13.39880 + 1.20346I −19.4759 + 0.4307I
u = −1.54202 − 0.13644I
a = 0.652546 − 0.799251I
b = −0.387061 + 0.750740I
−13.39880 − 1.20346I −19.4759 − 0.4307I
u = −1.54202 − 0.13644I
a = 0.422211 + 0.033636I
b = 1.353550 − 0.187496I
−13.39880 − 1.20346I −19.4759 − 0.4307I
u = −0.245576 + 0.368193I
a = 0.463029 − 0.035853I
b = 1.146820 + 0.166231I
−3.40144 + 0.93377I −14.2840 − 7.3829I
u = −0.245576 + 0.368193I
a = 0.33431 − 3.63181I
b = −0.974867 + 0.273032I
−3.40144 + 0.93377I −14.2840 − 7.3829I
u = −0.245576 − 0.368193I
a = 0.463029 + 0.035853I
b = 1.146820 − 0.166231I
−3.40144 − 0.93377I −14.2840 + 7.3829I
u = −0.245576 − 0.368193I
a = 0.33431 + 3.63181I
b = −0.974867 − 0.273032I
−3.40144 − 0.93377I −14.2840 + 7.3829I
16
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54096 + 0.25161I
a = 0.413609 + 0.054874I
b = 1.375920 − 0.315214I
−15.6238 − 6.2841I −21.2355 + 3.9797I
u = 1.54096 + 0.25161I
a = −0.37111 + 1.64681I
b = −1.130230 − 0.577888I
−15.6238 − 6.2841I −21.2355 + 3.9797I
u = 1.54096 − 0.25161I
a = 0.413609 − 0.054874I
b = 1.375920 + 0.315214I
−15.6238 + 6.2841I −21.2355 − 3.9797I
u = 1.54096 − 0.25161I
a = −0.37111 − 1.64681I
b = −1.130230 + 0.577888I
−15.6238 + 6.2841I −21.2355 − 3.9797I
17
IV. I
u
4
= h−340u
15
a − 770u
15
+ · · · + 249a + 651, −180u
15
a + 621u
15
+ · · · −
493a + 1534, u
16
+ u
15
+ · · · + 6u − 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
11
=
−u
−u
3
+ u
a
5
=
−u
2
+ 1
−u
4
+ 2u
2
a
7
=
a
7.23404au
15
+ 16.3830u
15
+ ··· − 5.29787a − 13.8511
a
2
=
15.6596au
15
+ 34.0638u
15
+ ··· − 18.0213a − 28.8085
3.12766au
15
+ 9.10638u
15
+ ··· − 3.61702a − 2.68085
a
1
=
18.7872au
15
+ 43.1702u
15
+ ··· − 21.6383a − 31.4894
3.12766au
15
+ 9.10638u
15
+ ··· − 3.61702a − 2.68085
a
12
=
−16.3830au
15
− 31.7234u
15
+ ··· + 13.8511a + 37.8298
1
a
6
=
3.04255u
15
+ 4.72340u
14
+ ··· − 26.3830u + 10.1277
−0.106383u
15
+ 1.19149u
14
+ ··· − 7.04255u + 2.68085
a
9
=
−0.680851u
15
− 0.574468u
14
+ ··· + 1.12766u + 2.95745
0.382979u
15
+ 1.51064u
14
+ ··· − 8.44681u + 3.14894
a
8
=
−0.297872u
15
+ 0.936170u
14
+ ··· − 9.31915u + 6.10638
0.723404u
15
+ 2.29787u
14
+ ··· − 12.5106u + 4.17021
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
4
47
u
15
+
120
47
u
14
+
64
47
u
13
−
652
47
u
12
+
36
47
u
11
+ 28u
10
−
856
47
u
9
−
1120
47
u
8
+
1372
47
u
7
+
364
47
u
6
−
708
47
u
5
−
456
47
u
4
+
928
47
u
3
+
412
47
u
2
−
904
47
u −
294
47
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
16
+ 9u
15
+ ··· − 8u
2
+ 1)
2
c
2
, c
6
, c
7
c
12
(u
16
+ u
15
+ ··· − 2u − 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(u
16
− u
15
+ ··· − 6u − 1)
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y
16
− 5y
15
+ ··· − 16y + 1)
2
c
2
, c
6
, c
7
c
12
(y
16
− 9y
15
+ ··· − 8y
2
+ 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(y
16
− 13y
15
+ ··· − 24y + 1)
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.396638 + 0.883588I
a = −0.337682 + 1.319500I
b = 0.203747 − 0.848147I
−4.20006 − 6.44354I −14.5716 + 5.2942I
u = 0.396638 + 0.883588I
a = −0.60336 − 1.62827I
b = 1.130780 + 0.529217I
−4.20006 − 6.44354I −14.5716 + 5.2942I
u = 0.396638 − 0.883588I
a = −0.337682 − 1.319500I
b = 0.203747 + 0.848147I
−4.20006 + 6.44354I −14.5716 − 5.2942I
u = 0.396638 − 0.883588I
a = −0.60336 + 1.62827I
b = 1.130780 − 0.529217I
−4.20006 + 6.44354I −14.5716 − 5.2942I
u = 0.825972 + 0.646815I
a = −0.747776 + 1.028940I
b = −0.097535 − 0.616980I
−5.53908 + 1.13123I −16.5848 − 0.5108I
u = 0.825972 + 0.646815I
a = 0.699291 − 0.157718I
b = −1.082580 + 0.348383I
−5.53908 + 1.13123I −16.5848 − 0.5108I
u = 0.825972 − 0.646815I
a = −0.747776 − 1.028940I
b = −0.097535 + 0.616980I
−5.53908 − 1.13123I −16.5848 + 0.5108I
u = 0.825972 − 0.646815I
a = 0.699291 + 0.157718I
b = −1.082580 − 0.348383I
−5.53908 − 1.13123I −16.5848 + 0.5108I
u = −0.558144 + 0.766237I
a = 0.638881 + 0.698673I
b = −1.242710 − 0.322774I
−8.73915 + 2.57849I −19.7229 − 3.5680I
u = −0.558144 + 0.766237I
a = −0.49735 + 2.23196I
b = 1.134620 − 0.424735I
−8.73915 + 2.57849I −19.7229 − 3.5680I
21
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.558144 − 0.766237I
a = 0.638881 − 0.698673I
b = −1.242710 + 0.322774I
−8.73915 − 2.57849I −19.7229 + 3.5680I
u = −0.558144 − 0.766237I
a = −0.49735 − 2.23196I
b = 1.134620 + 0.424735I
−8.73915 − 2.57849I −19.7229 + 3.5680I
u = 0.858124
a = 0.109112 + 0.579205I
b = 0.685501 − 0.640105I
−0.0770056 −10.1360
u = 0.858124
a = 0.109112 − 0.579205I
b = 0.685501 + 0.640105I
−0.0770056 −10.1360
u = −1.15431
a = −2.11363
b = −1.14767
−5.73470 −12.1060
u = −1.15431
a = −2.18260
b = 0.684028
−5.73470 −12.1060
u = −1.396840 + 0.083857I
a = −1.161560 − 0.612877I
b = −1.082580 + 0.348383I
−5.53908 + 1.13123I −16.5848 − 0.5108I
u = −1.396840 + 0.083857I
a = −0.343421 + 0.057531I
b = −0.097535 − 0.616980I
−5.53908 + 1.13123I −16.5848 − 0.5108I
u = −1.396840 − 0.083857I
a = −1.161560 + 0.612877I
b = −1.082580 − 0.348383I
−5.53908 − 1.13123I −16.5848 + 0.5108I
u = −1.396840 − 0.083857I
a = −0.343421 − 0.057531I
b = −0.097535 + 0.616980I
−5.53908 − 1.13123I −16.5848 + 0.5108I
22
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41338 + 0.10034I
a = −1.225930 − 0.338953I
b = −1.242710 + 0.322774I
−8.73915 − 2.57849I −19.7229 + 3.5680I
u = 1.41338 + 0.10034I
a = 1.13766 − 1.49836I
b = 1.134620 + 0.424735I
−8.73915 − 2.57849I −19.7229 + 3.5680I
u = 1.41338 − 0.10034I
a = −1.225930 + 0.338953I
b = −1.242710 − 0.322774I
−8.73915 + 2.57849I −19.7229 − 3.5680I
u = 1.41338 − 0.10034I
a = 1.13766 + 1.49836I
b = 1.134620 − 0.424735I
−8.73915 + 2.57849I −19.7229 − 3.5680I
u = −1.42845 + 0.22812I
a = 0.90855 + 1.25257I
b = 1.130780 − 0.529217I
−4.20006 + 6.44354I −14.5716 − 5.2942I
u = −1.42845 + 0.22812I
a = −0.292432 − 0.232008I
b = 0.203747 + 0.848147I
−4.20006 + 6.44354I −14.5716 − 5.2942I
u = −1.42845 − 0.22812I
a = 0.90855 − 1.25257I
b = 1.130780 + 0.529217I
−4.20006 − 6.44354I −14.5716 + 5.2942I
u = −1.42845 − 0.22812I
a = −0.292432 + 0.232008I
b = 0.203747 − 0.848147I
−4.20006 − 6.44354I −14.5716 + 5.2942I
u = 0.551002
a = 2.98683
b = −1.14767
−5.73470 −12.1060
u = 0.551002
a = −5.22255
b = 0.684028
−5.73470 −12.1060
23
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.240055
a = 1.98199 + 1.16965I
b = 0.685501 + 0.640105I
−0.0770056 −10.1360
u = 0.240055
a = 1.98199 − 1.16965I
b = 0.685501 − 0.640105I
−0.0770056 −10.1360
24
V. I
u
5
= h2a
3
+ 2a
2
+ b + 5a + 3, 2a
4
+ 2a
3
+ 5a
2
+ 4a + 1, u − 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
1
a
4
=
1
1
a
11
=
−1
0
a
5
=
0
1
a
7
=
a
−2a
3
− 2a
2
− 5a − 3
a
2
=
−a
−4a
3
− 2a
2
− 8a − 4
a
1
=
−4a
3
− 2a
2
− 9a − 4
−4a
3
− 2a
2
− 8a − 4
a
12
=
−2a
3
− 4a − 1
−4a
3
− 2a
2
− 8a − 2
a
6
=
−1
2a
3
+ 5a + 1
a
9
=
1
−2a
3
− 5a
a
8
=
1
−2a
3
− 5a − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 16a
3
+ 8a
2
+ 32a − 4
25
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
2
− u + 2)
2
c
2
, c
6
, c
7
c
12
u
4
− u
2
+ 2
c
3
, c
4
, c
8
c
9
(u − 1)
4
c
5
, c
10
(u + 1)
4
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y
2
+ 3y + 4)
2
c
2
, c
6
, c
7
c
12
(y
2
− y + 2)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(y −1)
4
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.04738 + 1.47756I
b = 0.978318 − 0.676097I
−2.46740 + 5.33349I −18.0000 − 5.2915I
u = 1.00000
a = −0.04738 − 1.47756I
b = 0.978318 + 0.676097I
−2.46740 − 5.33349I −18.0000 + 5.2915I
u = 1.00000
a = −0.452616 + 0.154683I
b = −0.978318 − 0.676097I
−2.46740 − 5.33349I −18.0000 + 5.2915I
u = 1.00000
a = −0.452616 − 0.154683I
b = −0.978318 + 0.676097I
−2.46740 + 5.33349I −18.0000 − 5.2915I
28
VI. I
u
6
= hu
3
+ b − u − 1, −u
11
+ 4u
9
+ · · · + 2a + 1, u
12
− u
11
+ · · · + 2u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
11
=
−u
−u
3
+ u
a
5
=
−u
2
+ 1
−u
4
+ 2u
2
a
7
=
1
2
u
11
− 2u
9
+ ··· +
1
2
u −
1
2
−u
3
+ u + 1
a
2
=
−
1
2
u
11
+ u
10
+ ··· −
1
2
u +
3
2
−u
6
+ 2u
4
+ 2u
3
− u
2
− 2u − 1
a
1
=
−
1
2
u
11
+ u
10
+ ··· −
5
2
u +
1
2
−u
6
+ 2u
4
+ 2u
3
− u
2
− 2u − 1
a
12
=
1
2
u
11
− u
9
+ ··· −
11
2
u −
5
2
u
11
− 4u
9
− 3u
8
+ 6u
7
+ 9u
6
− 2u
5
− 8u
4
− 4u
3
+ u
2
+ 3u
a
6
=
u
10
− u
9
− 4u
8
+ u
7
+ 9u
6
+ 3u
5
− 10u
4
− 7u
3
+ 3u
2
+ 4u + 2
u
9
− 3u
7
− 3u
6
+ 3u
5
+ 6u
4
+ u
3
− 3u
2
− 2u
a
9
=
−2u
11
+ 2u
10
+ 8u
9
− u
8
− 18u
7
− 9u
6
+ 17u
5
+ 17u
4
− 7u
2
− 8u − 2
u
11
− 2u
10
− 4u
9
+ 4u
8
+ 12u
7
− 16u
5
− 8u
4
+ 5u
3
+ 6u
2
+ 5u
a
8
=
−u
11
+ 4u
9
+ 3u
8
− 6u
7
− 9u
6
+ u
5
+ 9u
4
+ 6u
3
− u
2
− 5u − 2
−u
10
− u
9
+ 4u
8
+ 6u
7
− 2u
6
− 11u
5
− 7u
4
+ 3u
3
+ 7u
2
+ 5u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes
= 4u
11
+ 2u
10
− 18u
9
− 20u
8
+ 24u
7
+ 52u
6
+ 2u
5
− 42u
4
− 28u
3
+ 2u
2
+ 12u − 6
29
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
6
+ 2u
5
+ 3u
4
+ u
3
+ u
2
− u + 1)
2
c
2
, c
6
, c
7
c
12
(u
6
− u
4
− u
3
+ u
2
+ u + 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
12
+ u
11
− 4u
10
+ 9u
8
− 6u
7
− 7u
6
+ 10u
5
− 3u
4
− 3u
3
+ 5u
2
− 2u + 1
30
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y
6
+ 2y
5
+ 7y
4
+ 11y
3
+ 9y
2
+ y + 1)
2
c
2
, c
6
, c
7
c
12
(y
6
− 2y
5
+ 3y
4
− y
3
+ y
2
+ y + 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y
12
− 9y
11
+ ··· + 6y + 1
31
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −1.048730 + 0.280811I
a = 0.365804 + 1.070810I
b = 0.856601 − 0.623578I
−0.56604 + 4.89103I −11.87827 − 6.59162I
u = −1.048730 − 0.280811I
a = 0.365804 − 1.070810I
b = 0.856601 + 0.623578I
−0.56604 − 4.89103I −11.87827 + 6.59162I
u = −0.873118 + 0.859069I
a = 0.405852 + 0.292449I
b = −1.140590 − 0.471635I
−8.39843 − 5.32947I −19.4826 + 4.5439I
u = −0.873118 − 0.859069I
a = 0.405852 − 0.292449I
b = −1.140590 + 0.471635I
−8.39843 + 5.32947I −19.4826 − 4.5439I
u = −0.331855 + 0.650057I
a = −0.44987 − 1.64991I
b = 0.283992 + 0.709987I
−1.72760 + 1.71504I −10.63910 − 1.32670I
u = −0.331855 − 0.650057I
a = −0.44987 + 1.64991I
b = 0.283992 − 0.709987I
−1.72760 − 1.71504I −10.63910 + 1.32670I
u = 1.286280 + 0.180616I
a = −0.348442 + 0.274282I
b = 0.283992 − 0.709987I
−1.72760 − 1.71504I −10.63910 + 1.32670I
u = 1.286280 − 0.180616I
a = −0.348442 − 0.274282I
b = 0.283992 + 0.709987I
−1.72760 + 1.71504I −10.63910 − 1.32670I
u = −0.081560 + 0.504924I
a = −1.45936 − 0.10824I
b = 0.856601 + 0.623578I
−0.56604 − 4.89103I −11.87827 + 6.59162I
u = −0.081560 − 0.504924I
a = −1.45936 + 0.10824I
b = 0.856601 − 0.623578I
−0.56604 + 4.89103I −11.87827 − 6.59162I
32
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54898 + 0.07617I
a = −1.013980 + 0.488782I
b = −1.140590 − 0.471635I
−8.39843 − 5.32947I −19.4826 + 4.5439I
u = 1.54898 − 0.07617I
a = −1.013980 − 0.488782I
b = −1.140590 + 0.471635I
−8.39843 + 5.32947I −19.4826 − 4.5439I
33
VII. I
u
7
= hb − 1, 6a + u − 3, u
2
− 3i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
3
a
11
=
−u
−2u
a
5
=
−2
−3
a
7
=
−
1
6
u +
1
2
1
a
2
=
1
6
u +
1
2
−1
a
1
=
1
6
u −
1
2
−1
a
12
=
−
5
6
u −
1
2
−2u − 1
a
6
=
1
0
a
9
=
u
u
a
8
=
−u
−2u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −24
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
c
11
(u − 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
2
− 3
c
6
, c
12
(u + 1)
2
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
(y −1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(y −3)
2
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = 1.73205
a = 0.211325
b = 1.00000
−16.4493 −24.0000
u = −1.73205
a = 0.788675
b = 1.00000
−16.4493 −24.0000
37
VIII. I
u
8
= h−2au + 4b + 2a − u + 5, 4a
2
+ 4a − 7, u
2
− 2u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
2u − 1
a
11
=
−u
−2u + 2
a
5
=
−2u + 2
1
a
7
=
a
1
2
au −
1
2
a +
1
4
u −
5
4
a
2
=
1
4
au +
3
4
a −
7
8
u +
15
8
au − a +
1
2
u −
3
2
a
1
=
5
4
au −
1
4
a −
3
8
u +
3
8
au − a +
1
2
u −
3
2
a
12
=
3
4
au +
1
4
a +
3
8
u −
11
8
−2u + 1
a
6
=
2u − 3
−au + a −
1
2
u +
1
2
a
9
=
−3u + 4
au − a +
3
2
u −
1
2
a
8
=
−u + 2
au − a +
5
2
u −
5
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −24
38
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
6
, c
8
, c
9
c
11
, c
12
(u − 1)
4
c
2
, c
5
, c
7
c
10
(u + 1)
4
39
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
7
, c
8
, c
9
c
10
, c
11
, c
12
(y −1)
4
40
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 0.914214
b = −1.00000
−6.57974 −24.0000
u = 1.00000
a = 0.914214
b = −1.00000
−6.57974 −24.0000
u = 1.00000
a = −1.91421
b = −1.00000
−6.57974 −24.0000
u = 1.00000
a = −1.91421
b = −1.00000
−6.57974 −24.0000
41
IX. I
u
9
= hb, a + 1, u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
−1
a
4
=
1
1
a
11
=
1
0
a
5
=
0
1
a
7
=
−1
0
a
2
=
1
0
a
1
=
1
0
a
12
=
1
0
a
6
=
−1
0
a
9
=
−1
−1
a
8
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
42
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
u
c
3
, c
4
, c
8
c
9
u + 1
c
5
, c
10
u − 1
43
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
y
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y −1
44
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 0
−3.28987 −12.0000
45
X. I
u
10
= h2a
3
+ 4a
2
+ b + 6a + 3, 2a
4
+ 4a
3
+ 6a
2
+ 4a + 1, u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
−1
a
4
=
1
1
a
11
=
1
0
a
5
=
0
1
a
7
=
a
−2a
3
− 4a
2
− 6a − 3
a
2
=
−a
−4a
3
− 6a
2
− 8a − 3
a
1
=
−4a
3
− 6a
2
− 9a − 3
−4a
3
− 6a
2
− 8a − 3
a
12
=
−2a
3
− 4a
2
− 5a − 2
−1
a
6
=
−1
−2a
2
− 2a − 2
a
9
=
−1
−2a
2
− 2a − 3
a
8
=
−1
−2a
2
− 2a − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −16
46
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
2
+ 1)
2
c
2
, c
6
, c
7
c
12
u
4
+ 1
c
3
, c
4
, c
8
c
9
(u + 1)
4
c
5
, c
10
(u − 1)
4
47
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y + 1)
4
c
2
, c
6
, c
7
c
12
(y
2
+ 1)
2
c
3
, c
4
, c
5
c
8
, c
9
, c
10
(y −1)
4
48
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
10
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −0.500000 + 1.207110I
b = 0.707107 − 0.707107I
−1.64493 −16.0000
u = −1.00000
a = −0.500000 − 1.207110I
b = 0.707107 + 0.707107I
−1.64493 −16.0000
u = −1.00000
a = −0.500000 + 0.207107I
b = −0.707107 − 0.707107I
−1.64493 −16.0000
u = −1.00000
a = −0.500000 − 0.207107I
b = −0.707107 + 0.707107I
−1.64493 −16.0000
49
XI. I
u
11
= hb + 1, u − 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
1
a
4
=
1
1
a
11
=
−1
0
a
5
=
0
1
a
7
=
a
−1
a
2
=
a + 1
−1
a
1
=
a
−1
a
12
=
a − 1
−1
a
6
=
−1
0
a
9
=
1
1
a
8
=
1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −24
(iv) u-Polynomials at the component : It cannot be defined for a positive
dimension component.
(v) Riley Polynomials at the component : It cannot be defined for a positive
dimension component.
50
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
11
√
−1(vol +
√
−1CS) Cusp shape
u = ···
a = ···
b = ···
−6.57974 −24.0000
51
XII. I
v
1
= ha, b − 1, v + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
−1
0
a
4
=
1
0
a
11
=
−1
0
a
5
=
1
0
a
7
=
0
1
a
2
=
1
−1
a
1
=
0
−1
a
12
=
−1
−1
a
6
=
1
0
a
9
=
−1
0
a
8
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
52
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
c
11
u − 1
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
c
6
, c
12
u + 1
53
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
y −1
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y
54
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = 1.00000
−3.28987 −12.0000
55
XIII. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
11
u(u − 1)
7
(u
2
+ 1)
2
(u
2
− u + 2)
2
(u
4
+ 3u
3
+ 5u
2
+ 3u + 1)
2
· ((u
6
+ 2u
5
+ 3u
4
+ u
3
+ u
2
− u + 1)
2
)(u
16
+ 7u
15
+ ··· + 44u + 4)
· ((u
16
+ 9u
15
+ ··· − 8u
2
+ 1)
2
)(u
24
+ 13u
23
+ ··· + 280u + 121)
c
2
, c
7
u(u − 1)
3
(u + 1)
4
(u
4
+ 1)(u
4
− u
2
+ 2)(u
4
+ u
3
− u
2
− u + 1)
2
· ((u
6
− u
4
− u
3
+ u
2
+ u + 1)
2
)(u
16
− 3u
15
+ ··· + 2u + 2)
· ((u
16
+ u
15
+ ··· − 2u − 1)
2
)(u
24
− 3u
23
+ ··· − 40u + 11)
c
3
, c
4
, c
8
c
9
u(u − 1)
8
(u + 1)
5
(u
2
− 3)
· (u
8
+ 2u
7
− 2u
6
− 4u
5
+ 3u
4
+ u
3
− 5u
2
+ 4u + 7)
· (u
12
− u
11
− 7u
10
+ 6u
9
+ 18u
8
− 11u
7
− 19u
6
+ 2u
5
+ 6u
4
+ 8u
3
+ 1)
2
· (u
12
+ u
11
− 4u
10
+ 9u
8
− 6u
7
− 7u
6
+ 10u
5
− 3u
4
− 3u
3
+ 5u
2
− 2u + 1)
· ((u
16
− u
15
+ ··· − 6u − 1)
2
)(u
16
+ 3u
15
+ ··· + 13u
2
− 2)
c
5
, c
10
u(u − 1)
5
(u + 1)
8
(u
2
− 3)
· (u
8
+ 2u
7
− 2u
6
− 4u
5
+ 3u
4
+ u
3
− 5u
2
+ 4u + 7)
· (u
12
− u
11
− 7u
10
+ 6u
9
+ 18u
8
− 11u
7
− 19u
6
+ 2u
5
+ 6u
4
+ 8u
3
+ 1)
2
· (u
12
+ u
11
− 4u
10
+ 9u
8
− 6u
7
− 7u
6
+ 10u
5
− 3u
4
− 3u
3
+ 5u
2
− 2u + 1)
· ((u
16
− u
15
+ ··· − 6u − 1)
2
)(u
16
+ 3u
15
+ ··· + 13u
2
− 2)
c
6
, c
12
u(u − 1)
4
(u + 1)
3
(u
4
+ 1)(u
4
− u
2
+ 2)(u
4
+ u
3
− u
2
− u + 1)
2
· ((u
6
− u
4
− u
3
+ u
2
+ u + 1)
2
)(u
16
− 3u
15
+ ··· + 2u + 2)
· ((u
16
+ u
15
+ ··· − 2u − 1)
2
)(u
24
− 3u
23
+ ··· − 40u + 11)
56
XIV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
11
y(y − 1)
7
(y + 1)
4
(y
2
+ 3y + 4)
2
(y
4
+ y
3
+ 9y
2
+ y + 1)
2
· ((y
6
+ 2y
5
+ ··· + y + 1)
2
)(y
16
− 5y
15
+ ··· − 16y + 1)
2
· (y
16
+ 9y
15
+ ··· − 912y + 16)(y
24
− 5y
23
+ ··· + 60024y + 14641)
c
2
, c
6
, c
7
c
12
y(y − 1)
7
(y
2
+ 1)
2
(y
2
− y + 2)
2
(y
4
− 3y
3
+ 5y
2
− 3y + 1)
2
· ((y
6
− 2y
5
+ 3y
4
− y
3
+ y
2
+ y + 1)
2
)(y
16
− 9y
15
+ ··· − 8y
2
+ 1)
2
· (y
16
− 7y
15
+ ··· − 44y + 4)(y
24
− 13y
23
+ ··· − 280y + 121)
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y(y − 3)
2
(y −1)
13
· (y
8
− 8y
7
+ 26y
6
− 42y
5
+ 35y
4
− 27y
3
+ 59y
2
− 86y + 49)
· ((y
12
− 15y
11
+ ··· + 12y
2
+ 1)
2
)(y
12
− 9y
11
+ ··· + 6y + 1)
· (y
16
− 21y
15
+ ··· − 52y + 4)(y
16
− 13y
15
+ ··· − 24y + 1)
2
57
