12a
0064
(K12a
0064
)
A knot diagram
1
Linearized knot diagam
3 5 7 2 12 4 9 11 1 8 6 10
Solving Sequence
9,11
8
4,7
3 6 12 5 10 1 2
c
8
c
7
c
3
c
6
c
11
c
5
c
10
c
12
c
1
c
2
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−3u
19
− 8u
18
+ ··· + 2b − 2, u
20
+ 2u
19
+ ··· + 2a − 1, u
21
+ 3u
20
+ ··· − 2u − 1i
I
u
2
= h−6.83993 × 10
145
u
113
− 6.54937 × 10
146
u
112
+ ··· + 1.45244 × 10
144
b − 2.79617 × 10
145
,
− 7.83619 × 10
145
u
113
− 8.19384 × 10
146
u
112
+ ··· + 2.90489 × 10
144
a − 4.22987 × 10
146
,
u
114
+ 11u
113
+ ··· − 244u + 1i
I
u
3
= h3u
8
+ 4u
7
− 3u
6
− 8u
5
− 2u
4
+ 4u
3
+ 7u
2
+ b + 5u + 2, −u
7
− 2u
6
+ u
5
+ 4u
4
+ u
3
− 3u
2
+ a − 3u − 2,
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1i
I
u
4
= h−2a
8
+ 3a
7
− 6a
6
+ 5a
5
− 9a
4
+ 6a
3
− 8a
2
+ b + 3a − 4, a
9
− a
8
+ 2a
7
− a
6
+ 3a
5
− a
4
+ 2a
3
+ a + 1, u − 1i
I
u
5
= hu
2
+ b + u − 1, a + u, u
3
+ u
2
− 1i
I
u
6
= h4u
2
a + 6au + b + 4a + 1, −2u
2
a + a
2
− au − 2u
2
+ 2a − u + 2, u
3
+ u
2
− 1i
* 6 irreducible components of dim
C
= 0, with total 162 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I.
I
u
1
= h−3u
19
−8u
18
+· · ·+2b−2, u
20
+2u
19
+· · ·+2a−1, u
21
+3u
20
+· · ·−2u−1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
4
=
−
1
2
u
20
− u
19
+ ··· − u +
1
2
3
2
u
19
+ 4u
18
+ ··· +
5
2
u + 1
a
7
=
−u
2
+ 1
−u
2
a
3
=
−
1
2
u
20
−
3
2
u
19
+ ··· −
7
2
u
2
−
3
2
u
1
2
u
20
+ 2u
19
+ ··· + 2u +
1
2
a
6
=
−
1
2
u
20
−
3
2
u
19
+ ··· +
1
2
u + 2
1
2
u
19
+
3
2
u
18
+ ··· +
1
2
u +
1
2
a
12
=
2u
20
+ 4u
19
+ ··· − 4u
2
− 2
u
20
+
3
2
u
19
+ ··· − u
2
+
1
2
u
a
5
=
−
5
2
u
20
−
11
2
u
19
+ ··· +
3
2
u + 3
1
2
u
18
+ u
17
+ ··· + u +
1
2
a
10
=
u
−u
3
+ u
a
1
=
5
2
u
20
+ 5u
19
+ ··· − u −
5
2
1
2
u
20
+ u
19
+ ··· − 3u
3
−
3
2
u
2
a
2
=
5
2
u
20
+
11
2
u
19
+ ··· −
1
2
u −
5
2
−
1
2
u
20
−
3
2
u
19
+ ··· −
3
2
u −
1
2
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −3u
20
−19u
19
−28u
18
+ 41u
17
+ 153u
16
+ 64u
15
−265u
14
−364u
13
+ 97u
12
+ 580u
11
+
342u
10
− 375u
9
− 589u
8
− 102u
7
+ 336u
6
+ 253u
5
− 18u
4
− 116u
3
− 50u
2
− 19u − 11
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
21
+ 11u
20
+ ··· − 4u + 1
c
2
, c
4
, c
8
c
10
u
21
− 3u
20
+ ··· − 2u + 1
c
3
, c
6
, c
9
c
12
u
21
− u
20
+ ··· + 4u + 1
c
5
, c
11
u
21
+ 7u
20
+ ··· − 24u − 8
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
21
+ y
20
+ ··· + 60y −1
c
2
, c
4
, c
8
c
10
y
21
− 11y
20
+ ··· − 4y −1
c
3
, c
6
, c
9
c
12
y
21
+ 9y
20
+ ··· + 4y −1
c
5
, c
11
y
21
+ 7y
20
+ ··· + 384y −64
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397532 + 0.952972I
a = −1.46701 + 1.70855I
b = −1.64079 + 0.06397I
5.42762 − 7.34188I −2.93735 + 4.03622I
u = −0.397532 − 0.952972I
a = −1.46701 − 1.70855I
b = −1.64079 − 0.06397I
5.42762 + 7.34188I −2.93735 − 4.03622I
u = −0.463906 + 0.848244I
a = 1.78399 − 0.57848I
b = 1.53953 + 0.74905I
6.79620 − 1.15294I −1.115456 − 0.635021I
u = −0.463906 − 0.848244I
a = 1.78399 + 0.57848I
b = 1.53953 − 0.74905I
6.79620 + 1.15294I −1.115456 + 0.635021I
u = 0.882297 + 0.334419I
a = 0.232035 + 1.015740I
b = 0.473224 − 0.788051I
−2.27847 − 1.35735I −12.26664 + 3.16411I
u = 0.882297 − 0.334419I
a = 0.232035 − 1.015740I
b = 0.473224 + 0.788051I
−2.27847 + 1.35735I −12.26664 − 3.16411I
u = 0.931344
a = −1.44830
b = 6.82396
−2.88079 −73.8270
u = 1.019660 + 0.542496I
a = 0.251541 + 0.051587I
b = 0.859784 + 0.625986I
−4.35380 − 5.94110I −11.79339 + 6.03278I
u = 1.019660 − 0.542496I
a = 0.251541 − 0.051587I
b = 0.859784 − 0.625986I
−4.35380 + 5.94110I −11.79339 − 6.03278I
u = −0.777943 + 0.303148I
a = −0.536058 + 0.895141I
b = −0.287676 + 0.330307I
0.94396 + 2.98921I −0.51194 − 9.40250I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.777943 − 0.303148I
a = −0.536058 − 0.895141I
b = −0.287676 − 0.330307I
0.94396 − 2.98921I −0.51194 + 9.40250I
u = −1.129490 + 0.380138I
a = 0.424670 − 0.157361I
b = −0.322627 − 0.310934I
−6.57363 + 8.18913I −13.0291 − 11.3346I
u = −1.129490 − 0.380138I
a = 0.424670 + 0.157361I
b = −0.322627 + 0.310934I
−6.57363 − 8.18913I −13.0291 + 11.3346I
u = 1.241170 + 0.210800I
a = 0.75510 − 1.44309I
b = 0.44119 − 2.32654I
−5.92018 + 0.83164I −11.63192 − 4.49260I
u = 1.241170 − 0.210800I
a = 0.75510 + 1.44309I
b = 0.44119 + 2.32654I
−5.92018 − 0.83164I −11.63192 + 4.49260I
u = −1.142470 + 0.607681I
a = 0.515989 − 1.228650I
b = 2.19730 − 0.30131I
2.55725 + 12.07520I −7.44072 − 8.70390I
u = −1.142470 − 0.607681I
a = 0.515989 + 1.228650I
b = 2.19730 + 0.30131I
2.55725 − 12.07520I −7.44072 + 8.70390I
u = −1.202640 + 0.655976I
a = −1.51704 + 0.96579I
b = −2.94250 − 0.46093I
0.4705 + 19.1772I −8.57373 − 11.20098I
u = −1.202640 − 0.655976I
a = −1.51704 − 0.96579I
b = −2.94250 + 0.46093I
0.4705 − 19.1772I −8.57373 + 11.20098I
u = 0.005183 + 0.428880I
a = 1.280940 − 0.328547I
b = −0.229418 − 0.478934I
−0.56389 − 1.48786I −4.78639 + 4.72577I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.005183 − 0.428880I
a = 1.280940 + 0.328547I
b = −0.229418 + 0.478934I
−0.56389 + 1.48786I −4.78639 − 4.72577I
7
II. I
u
2
= h−6.84 × 10
145
u
113
− 6.55 × 10
146
u
112
+ · · · + 1.45 × 10
144
b − 2.80 ×
10
145
, −7.84 × 10
145
u
113
− 8.19 × 10
146
u
112
+ · · · + 2.90 × 10
144
a − 4.23 ×
10
146
, u
114
+ 11u
113
+ · · · − 244u + 1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
4
=
26.9759u
113
+ 282.071u
112
+ ··· − 6802.68u + 145.612
47.0925u
113
+ 450.920u
112
+ ··· − 4819.75u + 19.2514
a
7
=
−u
2
+ 1
−u
2
a
3
=
−8.42016u
113
− 58.2813u
112
+ ··· − 3397.00u + 131.106
43.1668u
113
+ 438.065u
112
+ ··· − 9408.31u + 37.9280
a
6
=
−20.6797u
113
− 207.500u
112
+ ··· + 4040.09u + 45.5888
−4.04307u
113
− 53.0186u
112
+ ··· + 2846.86u − 11.8823
a
12
=
−11.1969u
113
− 107.084u
112
+ ··· + 480.862u + 13.6402
−26.4702u
113
− 254.764u
112
+ ··· + 2787.16u − 11.4982
a
5
=
−46.3066u
113
− 446.665u
112
+ ··· + 5731.61u + 42.5602
−12.0229u
113
− 108.252u
112
+ ··· − 163.581u + 0.340418
a
10
=
u
−u
3
+ u
a
1
=
−5.46063u
113
− 26.0519u
112
+ ··· − 4944.78u + 35.7594
22.1192u
113
+ 237.575u
112
+ ··· − 7008.51u + 28.5545
a
2
=
4.26597u
113
+ 40.3853u
112
+ ··· − 1062.40u − 58.8348
1.42212u
113
+ 32.2085u
112
+ ··· − 3675.04u + 15.2628
(ii) Obstruction class = −1
(iii) Cusp Shapes = 34.1724u
113
+ 358.780u
112
+ ··· − 9912.17u + 32.0534
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
114
+ 53u
113
+ ··· + 60814u + 1
c
2
, c
4
, c
8
c
10
u
114
− 11u
113
+ ··· + 244u + 1
c
3
, c
6
, c
9
c
12
u
114
− 4u
113
+ ··· + 9216u − 512
c
5
, c
11
(u
57
− 2u
56
+ ··· − 28u + 8)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
114
+ 27y
113
+ ··· − 3695912450y + 1
c
2
, c
4
, c
8
c
10
y
114
− 53y
113
+ ··· − 60814y + 1
c
3
, c
6
, c
9
c
12
y
114
+ 60y
113
+ ··· − 63963136y + 262144
c
5
, c
11
(y
57
+ 28y
56
+ ··· + 976y −64)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.935089 + 0.338704I
a = 0.850752 + 0.119686I
b = −0.335249 − 0.500643I
−5.85242 − 0.17004I 0
u = −0.935089 − 0.338704I
a = 0.850752 − 0.119686I
b = −0.335249 + 0.500643I
−5.85242 + 0.17004I 0
u = −0.363311 + 0.900230I
a = 0.178573 + 0.463078I
b = 0.488212 − 0.184046I
0.38987 − 6.64143I 0
u = −0.363311 − 0.900230I
a = 0.178573 − 0.463078I
b = 0.488212 + 0.184046I
0.38987 + 6.64143I 0
u = −0.544457 + 0.799736I
a = −0.47592 + 1.71750I
b = −1.232260 − 0.150308I
7.34550 − 2.45066I 0
u = −0.544457 − 0.799736I
a = −0.47592 − 1.71750I
b = −1.232260 + 0.150308I
7.34550 + 2.45066I 0
u = 0.913747 + 0.500557I
a = −0.446028 − 1.336870I
b = −2.39965 + 0.30940I
2.00680 − 0.99841I 0
u = 0.913747 − 0.500557I
a = −0.446028 + 1.336870I
b = −2.39965 − 0.30940I
2.00680 + 0.99841I 0
u = −0.974911 + 0.375171I
a = 1.04389 + 1.21197I
b = 0.60060 + 1.50246I
−6.11667 + 2.79727I 0
u = −0.974911 − 0.375171I
a = 1.04389 − 1.21197I
b = 0.60060 − 1.50246I
−6.11667 − 2.79727I 0
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.591439 + 0.742345I
a = 1.27791 + 1.47235I
b = 1.96110 − 0.21410I
−0.66955 + 6.99715I 0
u = 0.591439 − 0.742345I
a = 1.27791 − 1.47235I
b = 1.96110 + 0.21410I
−0.66955 − 6.99715I 0
u = −0.603204 + 0.724752I
a = 0.08992 − 1.53533I
b = 1.034000 + 0.309631I
6.31677 + 3.78842I 0
u = −0.603204 − 0.724752I
a = 0.08992 + 1.53533I
b = 1.034000 − 0.309631I
6.31677 − 3.78842I 0
u = −0.361235 + 0.994127I
a = 1.67677 − 1.55060I
b = 1.73022 − 0.06071I
3.05680 − 13.20750I 0
u = −0.361235 − 0.994127I
a = 1.67677 + 1.55060I
b = 1.73022 + 0.06071I
3.05680 + 13.20750I 0
u = −0.710294 + 0.785669I
a = 1.350040 + 0.185786I
b = 1.107210 + 0.380959I
2.57214 + 2.93898I 0
u = −0.710294 − 0.785669I
a = 1.350040 − 0.185786I
b = 1.107210 − 0.380959I
2.57214 − 2.93898I 0
u = −0.913827 + 0.203758I
a = 0.77987 + 1.28445I
b = 0.220732 + 0.951081I
−5.07109 − 6.54642I 0
u = −0.913827 − 0.203758I
a = 0.77987 − 1.28445I
b = 0.220732 − 0.951081I
−5.07109 + 6.54642I 0
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.934277 + 0.044606I
a = −1.27302 + 0.62199I
b = 6.22746 − 0.11628I
−2.88161 0
u = 0.934277 − 0.044606I
a = −1.27302 − 0.62199I
b = 6.22746 + 0.11628I
−2.88161 0
u = 0.993751 + 0.415165I
a = −0.202287 − 0.111454I
b = −0.688804 − 0.887752I
−2.88934 − 1.48893I 0
u = 0.993751 − 0.415165I
a = −0.202287 + 0.111454I
b = −0.688804 + 0.887752I
−2.88934 + 1.48893I 0
u = −0.607754 + 0.690667I
a = −2.55750 + 0.99847I
b = −1.97548 − 1.05995I
0.91644 + 1.21025I 0
u = −0.607754 − 0.690667I
a = −2.55750 − 0.99847I
b = −1.97548 + 1.05995I
0.91644 − 1.21025I 0
u = 0.651838 + 0.645048I
a = −1.03350 − 1.59021I
b = −2.00486 + 0.31771I
1.42672 + 1.76217I 0
u = 0.651838 − 0.645048I
a = −1.03350 + 1.59021I
b = −2.00486 − 0.31771I
1.42672 − 1.76217I 0
u = −0.353913 + 0.845498I
a = 1.40632 − 2.46214I
b = 1.50509 − 0.30868I
−0.72077 − 3.96419I 0
u = −0.353913 − 0.845498I
a = 1.40632 + 2.46214I
b = 1.50509 + 0.30868I
−0.72077 + 3.96419I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.003140 + 0.412990I
a = 0.134567 − 1.062100I
b = 0.253159 − 0.330157I
−0.0831767 0
u = −1.003140 − 0.412990I
a = 0.134567 + 1.062100I
b = 0.253159 + 0.330157I
−0.0831767 0
u = −0.882583 + 0.631624I
a = 0.556823 + 1.098240I
b = −0.050659 + 0.752253I
2.11375 + 2.54354I 0
u = −0.882583 − 0.631624I
a = 0.556823 − 1.098240I
b = −0.050659 − 0.752253I
2.11375 − 2.54354I 0
u = −0.365682 + 0.836149I
a = −1.71940 + 0.32564I
b = −1.43084 − 0.77704I
4.87423 − 6.70670I 0
u = −0.365682 − 0.836149I
a = −1.71940 − 0.32564I
b = −1.43084 + 0.77704I
4.87423 + 6.70670I 0
u = −0.855779 + 0.303645I
a = −0.788708 − 1.168320I
b = −0.514747 − 0.982746I
−1.75595 − 1.61826I 0
u = −0.855779 − 0.303645I
a = −0.788708 + 1.168320I
b = −0.514747 + 0.982746I
−1.75595 + 1.61826I 0
u = −1.001490 + 0.442923I
a = −0.534520 − 0.168120I
b = 0.235876 + 0.485155I
−2.71251 + 4.62043I 0
u = −1.001490 − 0.442923I
a = −0.534520 + 0.168120I
b = 0.235876 − 0.485155I
−2.71251 − 4.62043I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.513607 + 0.741605I
a = −1.283240 − 0.030725I
b = −0.982627 + 0.066544I
2.00680 − 0.99841I 0
u = −0.513607 − 0.741605I
a = −1.283240 + 0.030725I
b = −0.982627 − 0.066544I
2.00680 + 0.99841I 0
u = −0.408525 + 0.785138I
a = −0.141578 − 0.526635I
b = −0.544167 + 0.043679I
1.42672 − 1.76217I 0
u = −0.408525 − 0.785138I
a = −0.141578 + 0.526635I
b = −0.544167 − 0.043679I
1.42672 + 1.76217I 0
u = −0.092244 + 0.870800I
a = 0.273591 + 0.305144I
b = 0.196994 − 0.274279I
−1.75595 − 1.61826I 0
u = −0.092244 − 0.870800I
a = 0.273591 − 0.305144I
b = 0.196994 + 0.274279I
−1.75595 + 1.61826I 0
u = 1.018750 + 0.476916I
a = 0.350624 + 1.161860I
b = 2.48100 − 0.15060I
0.39261 − 6.15931I 0
u = 1.018750 − 0.476916I
a = 0.350624 − 1.161860I
b = 2.48100 + 0.15060I
0.39261 + 6.15931I 0
u = 0.756655 + 0.420921I
a = 1.214540 + 0.652117I
b = 1.89236 − 1.84847I
2.57214 − 2.93898I 0
u = 0.756655 − 0.420921I
a = 1.214540 − 0.652117I
b = 1.89236 + 1.84847I
2.57214 + 2.93898I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.685449 + 0.914736I
a = 1.50544 − 1.21375I
b = 1.69664 + 0.39127I
7.34550 + 2.45066I 0
u = −0.685449 − 0.914736I
a = 1.50544 + 1.21375I
b = 1.69664 − 0.39127I
7.34550 − 2.45066I 0
u = 1.031590 + 0.492984I
a = −1.80812 − 0.87554I
b = −3.16106 + 1.51186I
−5.22774 − 3.33747I 0
u = 1.031590 − 0.492984I
a = −1.80812 + 0.87554I
b = −3.16106 − 1.51186I
−5.22774 + 3.33747I 0
u = 0.989207 + 0.597613I
a = 1.46479 + 0.94667I
b = 2.63360 − 1.11009I
0.38987 − 6.64143I 0
u = 0.989207 − 0.597613I
a = 1.46479 − 0.94667I
b = 2.63360 + 1.11009I
0.38987 + 6.64143I 0
u = 1.138690 + 0.225773I
a = −0.091897 − 0.232614I
b = 0.485769 − 1.286550I
−3.38914 − 0.67754I 0
u = 1.138690 − 0.225773I
a = −0.091897 + 0.232614I
b = 0.485769 + 1.286550I
−3.38914 + 0.67754I 0
u = −1.004000 + 0.595357I
a = 0.73786 − 1.91783I
b = 2.55639 − 0.40972I
−0.28156 + 3.75363I 0
u = −1.004000 − 0.595357I
a = 0.73786 + 1.91783I
b = 2.55639 + 0.40972I
−0.28156 − 3.75363I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.916494 + 0.738189I
a = 0.26382 + 2.19070I
b = −0.94011 + 1.28799I
1.99622 + 2.68142I 0
u = −0.916494 − 0.738189I
a = 0.26382 − 2.19070I
b = −0.94011 − 1.28799I
1.99622 − 2.68142I 0
u = −1.002740 + 0.618362I
a = −1.299220 − 0.163820I
b = −2.08563 − 1.17049I
5.11807 + 1.34577I 0
u = −1.002740 − 0.618362I
a = −1.299220 + 0.163820I
b = −2.08563 + 1.17049I
5.11807 − 1.34577I 0
u = 0.179685 + 0.801420I
a = −0.545647 − 0.416620I
b = −0.086027 + 0.476561I
−2.71251 − 4.62043I 0
u = 0.179685 − 0.801420I
a = −0.545647 + 0.416620I
b = −0.086027 − 0.476561I
−2.71251 + 4.62043I 0
u = 0.819663
a = 0.328152
b = −0.477779
−1.19406 0
u = −0.760316 + 0.943701I
a = −1.28155 + 1.33638I
b = −1.62449 − 0.22495I
5.81781 + 7.86530I 0
u = −0.760316 − 0.943701I
a = −1.28155 − 1.33638I
b = −1.62449 + 0.22495I
5.81781 − 7.86530I 0
u = 1.036360 + 0.631451I
a = −1.41429 − 1.05458I
b = −2.66301 + 0.86744I
−2.02455 − 12.24910I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.036360 − 0.631451I
a = −1.41429 + 1.05458I
b = −2.66301 − 0.86744I
−2.02455 + 12.24910I 0
u = −1.055580 + 0.612560I
a = 0.024962 − 1.265440I
b = 0.465183 − 0.429798I
0.39261 + 6.15931I 0
u = −1.055580 − 0.612560I
a = 0.024962 + 1.265440I
b = 0.465183 + 0.429798I
0.39261 − 6.15931I 0
u = 1.210960 + 0.201725I
a = 0.246902 + 0.934548I
b = 0.730080 − 0.057414I
−0.28156 + 3.75363I 0
u = 1.210960 − 0.201725I
a = 0.246902 − 0.934548I
b = 0.730080 + 0.057414I
−0.28156 − 3.75363I 0
u = 1.227000 + 0.083482I
a = −0.314738 − 0.955394I
b = −0.929505 − 0.362390I
0.91644 − 1.21025I 0
u = 1.227000 − 0.083482I
a = −0.314738 + 0.955394I
b = −0.929505 + 0.362390I
0.91644 + 1.21025I 0
u = −1.052070 + 0.643114I
a = 1.43787 − 0.11164I
b = 2.37341 + 1.12747I
5.81781 + 7.86530I 0
u = −1.052070 − 0.643114I
a = 1.43787 + 0.11164I
b = 2.37341 − 1.12747I
5.81781 − 7.86530I 0
u = 0.517991 + 0.549703I
a = −0.650153 − 0.900346I
b = −0.085921 + 0.705389I
−2.88934 + 1.48893I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.517991 − 0.549703I
a = −0.650153 + 0.900346I
b = −0.085921 − 0.705389I
−2.88934 − 1.48893I 0
u = 0.731384 + 0.164640I
a = −0.653476 − 0.496177I
b = −1.48203 + 2.77131I
1.99622 + 2.68142I 0. + 16.3931I
u = 0.731384 − 0.164640I
a = −0.653476 + 0.496177I
b = −1.48203 − 2.77131I
1.99622 − 2.68142I 0. − 16.3931I
u = −1.114310 + 0.603665I
a = −0.194103 − 0.275883I
b = −0.173420 + 0.457226I
−0.66955 + 6.99715I 0
u = −1.114310 − 0.603665I
a = −0.194103 + 0.275883I
b = −0.173420 − 0.457226I
−0.66955 − 6.99715I 0
u = −1.104900 + 0.647613I
a = −0.72162 + 1.28759I
b = −2.27486 + 0.23636I
4.87423 + 6.70670I 0
u = −1.104900 − 0.647613I
a = −0.72162 − 1.28759I
b = −2.27486 − 0.23636I
4.87423 − 6.70670I 0
u = 1.201390 + 0.483404I
a = 0.164242 − 0.057254I
b = 0.711703 + 0.194974I
−5.85242 − 0.17004I 0
u = 1.201390 − 0.483404I
a = 0.164242 + 0.057254I
b = 0.711703 − 0.194974I
−5.85242 + 0.17004I 0
u = −1.028230 + 0.790978I
a = −1.31506 + 0.93346I
b = −2.23776 − 0.11435I
6.31677 + 3.78842I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.028230 − 0.790978I
a = −1.31506 − 0.93346I
b = −2.23776 + 0.11435I
6.31677 − 3.78842I 0
u = 1.285900 + 0.178551I
a = −0.021664 + 0.315043I
b = −1.18986 + 0.88462I
−5.22774 + 3.33747I 0
u = 1.285900 − 0.178551I
a = −0.021664 − 0.315043I
b = −1.18986 − 0.88462I
−5.22774 − 3.33747I 0
u = −1.147930 + 0.609222I
a = −1.97009 + 0.65340I
b = −3.16991 − 1.05389I
−3.08563 + 9.35831I 0
u = −1.147930 − 0.609222I
a = −1.97009 − 0.65340I
b = −3.16991 + 1.05389I
−3.08563 − 9.35831I 0
u = −0.993984 + 0.853696I
a = 1.40031 − 0.65532I
b = 2.08860 + 0.21266I
5.11807 − 1.34577I 0
u = −0.993984 − 0.853696I
a = 1.40031 + 0.65532I
b = 2.08860 − 0.21266I
5.11807 + 1.34577I 0
u = −1.207130 + 0.510791I
a = −0.024746 + 0.196336I
b = 0.239684 − 0.075811I
−5.07109 + 6.54642I 0
u = −1.207130 − 0.510791I
a = −0.024746 − 0.196336I
b = 0.239684 + 0.075811I
−5.07109 − 6.54642I 0
u = −1.163600 + 0.628049I
a = 0.142909 + 0.301527I
b = 0.289119 − 0.406103I
−2.02455 + 12.24910I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.163600 − 0.628049I
a = 0.142909 − 0.301527I
b = 0.289119 + 0.406103I
−2.02455 − 12.24910I 0
u = 1.332370 + 0.130005I
a = −0.391141 + 1.285310I
b = −0.209248 + 1.386280I
−0.72077 + 3.96419I 0
u = 1.332370 − 0.130005I
a = −0.391141 − 1.285310I
b = −0.209248 − 1.386280I
−0.72077 − 3.96419I 0
u = 1.288330 + 0.366402I
a = −0.096677 + 0.174502I
b = −0.820998 + 0.303703I
−6.11667 − 2.79727I 0
u = 1.288330 − 0.366402I
a = −0.096677 − 0.174502I
b = −0.820998 − 0.303703I
−6.11667 + 2.79727I 0
u = −1.173290 + 0.657195I
a = 1.57584 − 0.80785I
b = 2.90418 + 0.65113I
3.05680 + 13.20750I 0
u = −1.173290 − 0.657195I
a = 1.57584 + 0.80785I
b = 2.90418 − 0.65113I
3.05680 − 13.20750I 0
u = 1.377950 + 0.169180I
a = 0.294813 − 1.373240I
b = −0.140571 − 1.374840I
−3.08563 + 9.35831I 0
u = 1.377950 − 0.169180I
a = 0.294813 + 1.373240I
b = −0.140571 + 1.374840I
−3.08563 − 9.35831I 0
u = 0.337881 + 0.475409I
a = 1.49606 + 2.67220I
b = 1.46334 − 0.31833I
−3.38914 − 0.67754I −11.03837 − 0.57218I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.337881 − 0.475409I
a = 1.49606 − 2.67220I
b = 1.46334 + 0.31833I
−3.38914 + 0.67754I −11.03837 + 0.57218I
u = 0.242095 + 0.261744I
a = −1.75583 − 1.65677I
b = −0.638812 + 1.260710I
2.11375 + 2.54354I −0.09108 − 1.48335I
u = 0.242095 − 0.261744I
a = −1.75583 + 1.65677I
b = −0.638812 − 1.260710I
2.11375 − 2.54354I −0.09108 + 1.48335I
u = 0.00405574
a = 117.803
b = −0.520574
−1.19406 −8.42600
22
III. I
u
3
= h3u
8
+ 4u
7
+ · · · + b + 2, −u
7
− 2u
6
+ u
5
+ 4u
4
+ u
3
− 3u
2
+ a −
3u − 2, u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
4
=
u
7
+ 2u
6
− u
5
− 4u
4
− u
3
+ 3u
2
+ 3u + 2
−3u
8
− 4u
7
+ 3u
6
+ 8u
5
+ 2u
4
− 4u
3
− 7u
2
− 5u − 2
a
7
=
−u
2
+ 1
−u
2
a
3
=
u
7
+ 2u
6
− u
5
− 4u
4
− u
3
+ 3u
2
+ 3u + 2
−3u
8
− 4u
7
+ 3u
6
+ 8u
5
+ 2u
4
− 4u
3
− 7u
2
− 5u − 2
a
6
=
−u
2
+ 1
−u
2
a
12
=
u
5
− 2u
3
+ u
u
5
− u
3
+ u
a
5
=
−u
8
+ 3u
6
− 3u
4
+ 1
−u
8
+ 2u
6
− 2u
4
a
10
=
u
−u
3
+ u
a
1
=
u
8
− 3u
6
+ 3u
4
− 1
u
8
− 2u
6
+ 2u
4
a
2
=
u
8
+ u
7
− u
6
− u
5
− u
4
− u
3
+ 3u
2
+ 3u + 1
−2u
8
− 4u
7
+ u
6
+ 8u
5
+ 4u
4
− 4u
3
− 7u
2
− 5u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 42u
8
+ 74u
7
− 19u
6
− 137u
5
− 75u
4
+ 54u
3
+ 135u
2
+ 112u + 44
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
9
c
3
, c
6
u
9
c
4
(u + 1)
9
c
5
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1
c
7
u
9
− 5u
8
+ 12u
7
− 15u
6
+ 9u
5
+ u
4
− 4u
3
+ 2u
2
+ u − 1
c
8
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1
c
9
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1
c
10
u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1
c
11
u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1
c
12
u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y −1)
9
c
3
, c
6
y
9
c
5
, c
11
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y −1
c
7
y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y −1
c
8
, c
10
y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y −1
c
9
, c
12
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y −1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.772920 + 0.510351I
a = 1.082180 + 0.329167I
b = 0.162031 + 0.927542I
0.13850 + 2.09337I −6.65973 − 4.50528I
u = −0.772920 − 0.510351I
a = 1.082180 − 0.329167I
b = 0.162031 − 0.927542I
0.13850 − 2.09337I −6.65973 + 4.50528I
u = 0.825933
a = 4.61221
b = −9.89910
−2.84338 193.930
u = 1.173910 + 0.391555I
a = 0.271310 + 0.634428I
b = 0.990590 + 0.515152I
−6.01628 − 1.33617I −13.00050 + 1.13735I
u = 1.173910 − 0.391555I
a = 0.271310 − 0.634428I
b = 0.990590 − 0.515152I
−6.01628 + 1.33617I −13.00050 − 1.13735I
u = −0.141484 + 0.739668I
a = −0.996034 + 0.562654I
b = −0.405386 + 0.113252I
−2.26187 − 2.45442I −9.69685 + 4.13179I
u = −0.141484 − 0.739668I
a = −0.996034 − 0.562654I
b = −0.405386 − 0.113252I
−2.26187 + 2.45442I −9.69685 − 4.13179I
u = −1.172470 + 0.500383I
a = 0.336447 − 0.398473I
b = 0.702315 − 0.150499I
−5.24306 + 7.08493I −11.6081 − 10.4867I
u = −1.172470 − 0.500383I
a = 0.336447 + 0.398473I
b = 0.702315 + 0.150499I
−5.24306 − 7.08493I −11.6081 + 10.4867I
26
IV.
I
u
4
= h−2a
8
+b +· · · +3a −4, a
9
−a
8
+2a
7
−a
6
+3a
5
−a
4
+2a
3
+a +1, u −1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
1
a
8
=
1
−1
a
4
=
a
2a
8
− 3a
7
+ 6a
6
− 5a
5
+ 9a
4
− 6a
3
+ 8a
2
− 3a + 4
a
7
=
0
−1
a
3
=
a
2a
8
− 3a
7
+ 6a
6
− 5a
5
+ 9a
4
− 6a
3
+ 8a
2
− 4a + 4
a
6
=
−a
2
a
8
− 2a
7
+ 3a
6
− 3a
5
+ 4a
4
− 4a
3
+ 3a
2
− 2a + 1
a
12
=
a
4
0
a
5
=
−a
6
− a
2
a
8
− 2a
7
+ 3a
6
− 3a
5
+ 4a
4
− 4a
3
+ 3a
2
− 2a + 1
a
10
=
1
0
a
1
=
a
4
0
a
2
=
−a
6
− a
2
a
8
− 2a
7
+ 4a
6
− 3a
5
+ 6a
4
− 4a
3
+ 6a
2
− 2a + 3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 45a
8
−63a
7
+ 119a
6
−104a
5
+ 184a
4
−133a
3
+ 157a
2
−83a + 73
27
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
9
− 5u
8
+ 12u
7
− 15u
6
+ 9u
5
+ u
4
− 4u
3
+ 2u
2
+ u − 1
c
2
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1
c
3
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1
c
4
u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1
c
5
u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1
c
6
u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1
c
7
, c
8
(u − 1)
9
c
9
, c
12
u
9
c
10
(u + 1)
9
c
11
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y −1
c
2
, c
4
y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y −1
c
3
, c
6
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y −1
c
5
, c
11
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y −1
c
7
, c
8
, c
10
(y −1)
9
c
9
, c
12
y
9
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.140343 + 0.966856I
b = −0.302374 + 0.039314I
0.13850 + 2.09337I −6.65973 − 4.50528I
u = 1.00000
a = −0.140343 − 0.966856I
b = −0.302374 − 0.039314I
0.13850 − 2.09337I −6.65973 + 4.50528I
u = 1.00000
a = −0.628449 + 0.875112I
b = −0.223063 + 0.988364I
−2.26187 + 2.45442I −9.69685 − 4.13179I
u = 1.00000
a = −0.628449 − 0.875112I
b = −0.223063 − 0.988364I
−2.26187 − 2.45442I −9.69685 + 4.13179I
u = 1.00000
a = 0.796005 + 0.733148I
b = −0.194585 + 1.248300I
−6.01628 + 1.33617I −13.00050 − 1.13735I
u = 1.00000
a = 0.796005 − 0.733148I
b = −0.194585 − 1.248300I
−6.01628 − 1.33617I −13.00050 + 1.13735I
u = 1.00000
a = 0.728966 + 0.986295I
b = 0.026651 + 0.835796I
−5.24306 − 7.08493I −11.6081 + 10.4867I
u = 1.00000
a = 0.728966 − 0.986295I
b = 0.026651 − 0.835796I
−5.24306 + 7.08493I −11.6081 − 10.4867I
u = 1.00000
a = −0.512358
b = 9.38674
−2.84338 193.930
30
V. I
u
5
= hu
2
+ b + u − 1, a + u, u
3
+ u
2
− 1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
4
=
−u
−u
2
− u + 1
a
7
=
−u
2
+ 1
−u
2
a
3
=
−1
0
a
6
=
0
−u
a
12
=
0
u
a
5
=
0
−u
a
10
=
u
u
2
+ u − 1
a
1
=
u
2
− 1
u
2
a
2
=
−1
u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u − 12
31
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
7
c
9
u
3
− u
2
+ 2u − 1
c
2
, c
8
u
3
+ u
2
− 1
c
4
, c
10
u
3
− u
2
+ 1
c
5
, c
11
u
3
c
6
, c
12
u
3
+ u
2
+ 2u + 1
32
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
6
c
7
, c
9
, c
12
y
3
+ 3y
2
+ 2y −1
c
2
, c
4
, c
8
c
10
y
3
− y
2
+ 2y −1
c
5
, c
11
y
3
33
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −0.877439 + 0.744862I
a = 0.877439 − 0.744862I
b = 1.66236 + 0.56228I
6.04826 + 5.65624I −4.98049 − 5.95889I
u = −0.877439 − 0.744862I
a = 0.877439 + 0.744862I
b = 1.66236 − 0.56228I
6.04826 − 5.65624I −4.98049 + 5.95889I
u = 0.754878
a = −0.754878
b = −0.324718
−2.22691 −18.0390
34
VI.
I
u
6
= h4u
2
a + 6au + b + 4a +1, −2u
2
a + a
2
−au −2u
2
+2a −u + 2, u
3
+u
2
−1i
(i) Arc colorings
a
9
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
4
=
a
−4u
2
a − 6au − 4a − 1
a
7
=
−u
2
+ 1
−u
2
a
3
=
−au + u
2
− u
−3u
2
a − 5au − 3a − u
a
6
=
0
−u
2
a − 2au + 2u
2
− 2a + 2u + 1
a
12
=
0
u
a
5
=
0
−u
2
a − 2au + 2u
2
− 2a + 2u + 1
a
10
=
u
u
2
+ u − 1
a
1
=
u
2
− 1
u
2
a
2
=
−au + u
2
− u
−u
2
a − 2au + 2u
2
− a + u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 24u
2
a + 29au + 29a − 19u − 15
35
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
7
c
9
(u
3
− u
2
+ 2u − 1)
2
c
2
, c
8
(u
3
+ u
2
− 1)
2
c
4
, c
10
(u
3
− u
2
+ 1)
2
c
5
, c
11
u
6
c
6
, c
12
(u
3
+ u
2
+ 2u + 1)
2
36
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
6
c
7
, c
9
, c
12
(y
3
+ 3y
2
+ 2y −1)
2
c
2
, c
4
, c
8
c
10
(y
3
− y
2
+ 2y −1)
2
c
5
, c
11
y
6
37
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.877439 + 0.744862I
a = −1.069840 + 0.424452I
b = −1.75488 − 0.64082I
6.04826 −3.50653 + 0.I
u = −0.877439 + 0.744862I
a = −1.37744 − 2.29387I
b = 0.18504 − 1.97346I
1.91067 + 2.82812I −32.7467 − 20.6881I
u = −0.877439 − 0.744862I
a = −1.069840 − 0.424452I
b = −1.75488 + 0.64082I
6.04826 −3.50653 + 0.I
u = −0.877439 − 0.744862I
a = −1.37744 + 2.29387I
b = 0.18504 + 1.97346I
1.91067 − 2.82812I −32.7467 + 20.6881I
u = 0.754878
a = −0.052721 + 0.320410I
b = −0.43016 − 3.46319I
1.91067 − 2.82812I −32.7467 + 20.6881I
u = 0.754878
a = −0.052721 − 0.320410I
b = −0.43016 + 3.46319I
1.91067 + 2.82812I −32.7467 − 20.6881I
38
VII. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
(u − 1)
9
(u
3
− u
2
+ 2u − 1)
3
· (u
9
− 5u
8
+ 12u
7
− 15u
6
+ 9u
5
+ u
4
− 4u
3
+ 2u
2
+ u − 1)
· (u
21
+ 11u
20
+ ··· − 4u + 1)(u
114
+ 53u
113
+ ··· + 60814u + 1)
c
2
, c
8
(u − 1)
9
(u
3
+ u
2
− 1)
3
(u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1)
· (u
21
− 3u
20
+ ··· − 2u + 1)(u
114
− 11u
113
+ ··· + 244u + 1)
c
3
, c
9
u
9
(u
3
− u
2
+ 2u − 1)
3
(u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1)
· (u
21
− u
20
+ ··· + 4u + 1)(u
114
− 4u
113
+ ··· + 9216u − 512)
c
4
, c
10
(u + 1)
9
(u
3
− u
2
+ 1)
3
(u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1)
· (u
21
− 3u
20
+ ··· − 2u + 1)(u
114
− 11u
113
+ ··· + 244u + 1)
c
5
, c
11
u
9
(u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1)
· (u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
· (u
21
+ 7u
20
+ ··· − 24u − 8)(u
57
− 2u
56
+ ··· − 28u + 8)
2
c
6
, c
12
u
9
(u
3
+ u
2
+ 2u + 1)
3
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
· (u
21
− u
20
+ ··· + 4u + 1)(u
114
− 4u
113
+ ··· + 9216u − 512)
39
VIII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y −1)
9
(y
3
+ 3y
2
+ 2y −1)
3
· (y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y −1)
· (y
21
+ y
20
+ ··· + 60y −1)(y
114
+ 27y
113
+ ··· − 3695912450y + 1)
c
2
, c
4
, c
8
c
10
(y −1)
9
(y
3
− y
2
+ 2y −1)
3
· (y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y −1)
· (y
21
− 11y
20
+ ··· − 4y −1)(y
114
− 53y
113
+ ··· − 60814y + 1)
c
3
, c
6
, c
9
c
12
y
9
(y
3
+ 3y
2
+ 2y −1)
3
· (y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y −1)
· (y
21
+ 9y
20
+ ··· + 4y −1)
· (y
114
+ 60y
113
+ ··· − 63963136y + 262144)
c
5
, c
11
y
9
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y −1)
2
· (y
21
+ 7y
20
+ ··· + 384y −64)(y
57
+ 28y
56
+ ··· + 976y −64)
2
40
