12a
0346
(K12a
0346
)
A knot diagram
1
Linearized knot diagam
3 6 9 7 2 10 11 12 1 5 8 4
Solving Sequence
2,5
6
3,10
7 11 8 1 4 9 12
c
5
c
2
c
6
c
10
c
7
c
1
c
4
c
9
c
12
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h4.53998 × 10
26
u
51
+ 5.05817 × 10
27
u
50
+ ··· + 2.07754 × 10
25
b − 7.39267 × 10
27
,
6.84425 × 10
27
u
51
+ 7.36349 × 10
28
u
50
+ ··· + 1.66203 × 10
26
a − 9.03557 × 10
28
,
u
52
+ 11u
51
+ ··· − 105u − 8i
I
u
2
= h−2u
41
a − 45u
41
+ ··· + 6a + 347, 825u
41
a − 163u
41
+ ··· − 6825a − 727, u
42
− 4u
41
+ ··· − 23u + 3i
I
u
3
= h−3u
15
+ 11u
14
+ ··· + b + 6, −4u
15
+ 13u
14
+ ··· + a + 6,
u
16
− 4u
15
+ 5u
14
+ 4u
13
− 19u
12
+ 23u
11
− 11u
10
− 3u
9
+ 15u
8
− 29u
7
+ 35u
6
− 22u
5
+ 5u
4
+ 3u
2
− 3u + 1i
I
u
4
= h−u
3
a − u
2
a + u
3
+ au + 2b + 1, u
2
a + 3u
3
+ a
2
+ au + 2u
2
− a − 3u − 2, u
4
− u
2
+ 1i
I
u
5
= hb − a − 1, a
2
+ 3a + 3, u + 1i
I
u
6
= hb − a + 1, a
4
− 6a
3
+ 15a
2
− 18a + 7, u + 1i
* 6 irreducible components of dim
C
= 0, with total 166 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
=
h4.54×10
26
u
51
+5.06×10
27
u
50
+· · ·+2.08×10
25
b−7.39×10
27
, 6.84×10
27
u
51
+
7.36 × 10
28
u
50
+ · · · + 1.66 × 10
26
a − 9.04 × 10
28
, u
52
+ 11u
51
+ · · · − 105u − 8i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
−41.1800u
51
− 443.041u
50
+ ··· + 6409.16u + 543.645
−21.8527u
51
− 243.469u
50
+ ··· + 4181.40u + 355.837
a
7
=
−7.78427u
51
− 87.7140u
50
+ ··· + 1359.23u + 119.895
5.98217u
51
+ 53.3671u
50
+ ··· + 74.8168u + 11.4814
a
11
=
−19.3273u
51
− 199.572u
50
+ ··· + 2227.76u + 187.808
−21.8527u
51
− 243.469u
50
+ ··· + 4181.40u + 355.837
a
8
=
4.76000u
51
+ 46.4262u
50
+ ··· − 283.578u − 23.1030
−33.4051u
51
− 334.756u
50
+ ··· + 3096.45u + 251.825
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
−7.06370u
51
− 73.7381u
50
+ ··· + 927.555u + 84.2568
9.30260u
51
+ 91.2779u
50
+ ··· − 515.128u − 37.6927
a
9
=
−31.4511u
51
− 330.139u
50
+ ··· + 3966.66u + 334.341
−9.22694u
51
− 119.633u
50
+ ··· + 3251.38u + 281.203
a
12
=
37.4120u
51
+ 372.930u
50
+ ··· − 3121.91u − 246.831
28.4339u
51
+ 293.834u
50
+ ··· − 3277.17u − 270.732
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
552510409213253669452495646
4155086772164184949828265
u
51
−
5261625346514302913687205342
4155086772164184949828265
u
50
+
··· +
21341655761740046577824999282
4155086772164184949828265
u +
1496242834046200807960011522
4155086772164184949828265
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
52
+ 19u
51
+ ··· + 2465u + 64
c
2
, c
5
u
52
+ 11u
51
+ ··· − 105u − 8
c
3
, c
10
u
52
+ 12u
50
+ ··· − 11u + 1
c
4
, c
12
u
52
+ 4u
51
+ ··· − 11u + 1
c
6
, c
9
u
52
− 4u
51
+ ··· + u − 1
c
7
, c
8
, c
11
u
52
− 14u
51
+ ··· − 15u + 2
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
52
+ 21y
51
+ ··· − 3151553y + 4096
c
2
, c
5
y
52
− 19y
51
+ ··· − 2465y + 64
c
3
, c
10
y
52
+ 24y
51
+ ··· − 43y + 1
c
4
, c
12
y
52
+ 12y
51
+ ··· − 31y + 1
c
6
, c
9
y
52
− 30y
51
+ ··· − 61y + 1
c
7
, c
8
, c
11
y
52
− 58y
51
+ ··· − 137y + 4
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.303052 + 0.952802I
a = 0.034989 + 0.198223I
b = 0.503950 − 0.617099I
1.05551 + 4.23466I 0. − 13.94078I
u = −0.303052 − 0.952802I
a = 0.034989 − 0.198223I
b = 0.503950 + 0.617099I
1.05551 − 4.23466I 0. + 13.94078I
u = 0.866782 + 0.510957I
a = 1.83194 − 0.77063I
b = 0.18058 + 1.43268I
−1.60266 − 2.06605I 0
u = 0.866782 − 0.510957I
a = 1.83194 + 0.77063I
b = 0.18058 − 1.43268I
−1.60266 + 2.06605I 0
u = −0.878833 + 0.450841I
a = 0.518755 + 1.197230I
b = 0.639394 + 0.765044I
−1.82299 + 2.11483I 0
u = −0.878833 − 0.450841I
a = 0.518755 − 1.197230I
b = 0.639394 − 0.765044I
−1.82299 − 2.11483I 0
u = 0.859521 + 0.581846I
a = −1.92008 + 0.82944I
b = −0.07577 − 1.77245I
3.98340 − 2.30844I 0
u = 0.859521 − 0.581846I
a = −1.92008 − 0.82944I
b = −0.07577 + 1.77245I
3.98340 + 2.30844I 0
u = 0.866761 + 0.407706I
a = −1.43190 + 1.02282I
b = −0.455587 − 0.870700I
1.79191 − 1.98663I 0. + 5.10991I
u = 0.866761 − 0.407706I
a = −1.43190 − 1.02282I
b = −0.455587 + 0.870700I
1.79191 + 1.98663I 0. − 5.10991I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.949503 + 0.456951I
a = −1.23169 − 1.28904I
b = −1.275250 − 0.565238I
2.17857 + 3.11727I 0
u = −0.949503 − 0.456951I
a = −1.23169 + 1.28904I
b = −1.275250 + 0.565238I
2.17857 − 3.11727I 0
u = 1.059230 + 0.081807I
a = 1.80017 + 0.56735I
b = 0.686878 + 0.509668I
−4.61713 − 2.77958I 0
u = 1.059230 − 0.081807I
a = 1.80017 − 0.56735I
b = 0.686878 − 0.509668I
−4.61713 + 2.77958I 0
u = −0.677772 + 0.818492I
a = −0.417172 + 0.333279I
b = −0.602964 − 0.807052I
1.60486 − 2.99292I 0
u = −0.677772 − 0.818492I
a = −0.417172 − 0.333279I
b = −0.602964 + 0.807052I
1.60486 + 2.99292I 0
u = −0.592287 + 0.905759I
a = 0.073021 − 0.240968I
b = 0.759625 + 1.129160I
2.71314 − 8.81698I 0
u = −0.592287 − 0.905759I
a = 0.073021 + 0.240968I
b = 0.759625 − 1.129160I
2.71314 + 8.81698I 0
u = 0.754853 + 0.482158I
a = −1.006070 + 0.984106I
b = −0.206125 − 0.823600I
1.78251 − 2.04552I 5.02176 + 4.06371I
u = 0.754853 − 0.482158I
a = −1.006070 − 0.984106I
b = −0.206125 + 0.823600I
1.78251 + 2.04552I 5.02176 − 4.06371I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.809152 + 0.343854I
a = 0.19899 − 1.72190I
b = −0.16082 − 1.41998I
2.68462 + 1.40366I 1.58938 − 4.99897I
u = −0.809152 − 0.343854I
a = 0.19899 + 1.72190I
b = −0.16082 + 1.41998I
2.68462 − 1.40366I 1.58938 + 4.99897I
u = −0.571688 + 0.974680I
a = 0.079015 + 0.294171I
b = −0.78314 − 1.37043I
10.3015 − 12.7497I 0
u = −0.571688 − 0.974680I
a = 0.079015 − 0.294171I
b = −0.78314 + 1.37043I
10.3015 + 12.7497I 0
u = −1.097450 + 0.438565I
a = −0.647329 − 0.449697I
b = −0.761433 − 0.057762I
−2.17033 + 0.83260I 0
u = −1.097450 − 0.438565I
a = −0.647329 + 0.449697I
b = −0.761433 + 0.057762I
−2.17033 − 0.83260I 0
u = −0.808774
a = 1.40558
b = 1.17657
3.21409 2.59480
u = −0.983133 + 0.709385I
a = 0.424839 + 0.547549I
b = 0.291156 − 0.095304I
−1.12819 + 2.86961I 0
u = −0.983133 − 0.709385I
a = 0.424839 − 0.547549I
b = 0.291156 + 0.095304I
−1.12819 − 2.86961I 0
u = 1.207840 + 0.122118I
a = −1.48373 − 0.59924I
b = −0.901527 − 0.819910I
−4.39988 − 7.39386I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.207840 − 0.122118I
a = −1.48373 + 0.59924I
b = −0.901527 + 0.819910I
−4.39988 + 7.39386I 0
u = −0.878018 + 0.876003I
a = −0.078786 − 0.959376I
b = −0.020706 + 0.697334I
8.76056 + 3.51365I 0
u = −0.878018 − 0.876003I
a = −0.078786 + 0.959376I
b = −0.020706 − 0.697334I
8.76056 − 3.51365I 0
u = −1.027700 + 0.716646I
a = 1.67678 + 0.76544I
b = 0.700230 − 0.834328I
0.53141 + 8.76844I 0
u = −1.027700 − 0.716646I
a = 1.67678 − 0.76544I
b = 0.700230 + 0.834328I
0.53141 − 8.76844I 0
u = 0.915507 + 0.868903I
a = 0.654011 − 0.348314I
b = −0.000634 + 1.130420I
10.44970 − 3.21474I 0
u = 0.915507 − 0.868903I
a = 0.654011 + 0.348314I
b = −0.000634 − 1.130420I
10.44970 + 3.21474I 0
u = −0.969489 + 0.820816I
a = −0.978341 − 0.759518I
b = −0.058160 + 0.678489I
8.44609 + 2.83761I 0
u = −0.969489 − 0.820816I
a = −0.978341 + 0.759518I
b = −0.058160 − 0.678489I
8.44609 − 2.83761I 0
u = −0.305651 + 1.237930I
a = 0.088791 − 0.250502I
b = −0.643580 + 0.726750I
8.73516 + 6.32971I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.305651 − 1.237930I
a = 0.088791 + 0.250502I
b = −0.643580 − 0.726750I
8.73516 − 6.32971I 0
u = −1.087350 + 0.717339I
a = −1.76484 − 0.61554I
b = −0.85686 + 1.19595I
1.1878 + 14.8065I 0
u = −1.087350 − 0.717339I
a = −1.76484 + 0.61554I
b = −0.85686 − 1.19595I
1.1878 − 14.8065I 0
u = 0.692693
a = −2.67905
b = 0.160423
2.79063 9.38280
u = 1.311730 + 0.155198I
a = 1.29329 + 0.62840I
b = 0.98298 + 1.07363I
2.56871 − 10.65480I 0
u = 1.311730 − 0.155198I
a = 1.29329 − 0.62840I
b = 0.98298 − 1.07363I
2.56871 + 10.65480I 0
u = −1.121430 + 0.731849I
a = 1.80711 + 0.50804I
b = 0.85609 − 1.46709I
8.5842 + 18.9717I 0
u = −1.121430 − 0.731849I
a = 1.80711 − 0.50804I
b = 0.85609 + 1.46709I
8.5842 − 18.9717I 0
u = −1.41178
a = 0.588810
b = 0.957114
3.53219 0
u = −0.231217 + 0.451747I
a = −0.804630 − 0.251513I
b = −0.392803 + 0.547987I
−0.630419 + 1.163880I −3.53445 − 4.93440I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.231217 − 0.451747I
a = −0.804630 + 0.251513I
b = −0.392803 − 0.547987I
−0.630419 − 1.163880I −3.53445 + 4.93440I
u = −0.189131
a = 4.12539
b = 0.894842
3.37184 1.02460
10
II. I
u
2
= h−2u
41
a − 45u
41
+ · · · + 6a + 347, 825u
41
a − 163u
41
+ · · · − 6825a −
727, u
42
− 4u
41
+ · · · − 23u + 3i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
a
1
2
u
41
a +
45
4
u
41
+ ··· −
3
2
a −
347
4
a
7
=
−6.25000au
41
− 1.83333u
41
+ ··· + 15.7500a + 19.6667
23
4
u
41
a −
87
4
u
40
a + ··· −
147
4
a − 1
a
11
=
−0.500000au
41
− 11.2500u
41
+ ··· + 2.50000a + 86.7500
1
2
u
41
a +
45
4
u
41
+ ··· −
3
2
a −
347
4
a
8
=
−9.75000au
41
− 5.58333u
41
+ ··· + 34.2500a + 21.4167
−
9
2
u
41
a +
15
4
u
41
+ ··· + 15a −
11
4
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
13u
41
a −
59
12
u
41
+ ··· −
181
2
a +
43
12
−
9
4
u
41
a +
1
4
u
41
+ ··· +
69
4
a −
7
4
a
9
=
1
2
u
41
a +
9
4
u
41
+ ··· −
1
2
a +
9
4
−
1
2
u
41
a +
19
2
u
41
+ ··· +
3
2
a − 83
a
12
=
−1.25000au
41
− 1.58333u
41
+ ··· + 14.2500a + 17.9167
23
2
u
41
a +
1
2
u
41
+ ··· − 36a −
5
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
201
4
u
41
+
677
4
u
40
+ ··· −
2695
2
u +
853
4
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
42
+ 18u
41
+ ··· + 139u + 9)
2
c
2
, c
5
(u
42
− 4u
41
+ ··· − 23u + 3)
2
c
3
, c
10
u
84
− 2u
83
+ ··· + 277053u − 23701
c
4
, c
12
u
84
+ 10u
83
+ ··· − 117u + 513
c
6
, c
9
u
84
− u
83
+ ··· + 8u − 1
c
7
, c
8
, c
11
(u
42
+ 5u
41
+ ··· − 8u − 2)
2
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
42
+ 18y
41
+ ··· + 317y + 81)
2
c
2
, c
5
(y
42
− 18y
41
+ ··· − 139y + 9)
2
c
3
, c
10
y
84
+ 30y
83
+ ··· − 54716197799y + 561737401
c
4
, c
12
y
84
− 34y
83
+ ··· − 6200469y + 263169
c
6
, c
9
y
84
+ 17y
83
+ ··· − 72y + 1
c
7
, c
8
, c
11
(y
42
− 45y
41
+ ··· − 96y + 4)
2
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.510010 + 0.891471I
a = −0.217501 + 0.082995I
b = 0.709398 − 1.077620I
3.96533 + 2.20033I 7.78344 − 3.54101I
u = 0.510010 + 0.891471I
a = −0.204654 − 0.010293I
b = −0.194625 + 0.780336I
3.96533 + 2.20033I 7.78344 − 3.54101I
u = 0.510010 − 0.891471I
a = −0.217501 − 0.082995I
b = 0.709398 + 1.077620I
3.96533 − 2.20033I 7.78344 + 3.54101I
u = 0.510010 − 0.891471I
a = −0.204654 + 0.010293I
b = −0.194625 − 0.780336I
3.96533 − 2.20033I 7.78344 + 3.54101I
u = 0.730561 + 0.637744I
a = −0.161192 + 1.028670I
b = 0.163687 − 0.913124I
1.88224 − 1.77676I 3.40533 + 1.54020I
u = 0.730561 + 0.637744I
a = −1.091270 + 0.713205I
b = −0.624504 − 0.895096I
1.88224 − 1.77676I 3.40533 + 1.54020I
u = 0.730561 − 0.637744I
a = −0.161192 − 1.028670I
b = 0.163687 + 0.913124I
1.88224 + 1.77676I 3.40533 − 1.54020I
u = 0.730561 − 0.637744I
a = −1.091270 − 0.713205I
b = −0.624504 + 0.895096I
1.88224 + 1.77676I 3.40533 − 1.54020I
u = −0.779828 + 0.674893I
a = −0.435770 − 0.013571I
b = 0.72936 + 1.57734I
10.25860 − 4.34016I 5.15506 + 1.20379I
u = −0.779828 + 0.674893I
a = 2.07249 + 0.66236I
b = −0.136878 − 0.796276I
10.25860 − 4.34016I 5.15506 + 1.20379I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.779828 − 0.674893I
a = −0.435770 + 0.013571I
b = 0.72936 − 1.57734I
10.25860 + 4.34016I 5.15506 − 1.20379I
u = −0.779828 − 0.674893I
a = 2.07249 − 0.66236I
b = −0.136878 + 0.796276I
10.25860 + 4.34016I 5.15506 − 1.20379I
u = −0.822928 + 0.631892I
a = −0.176436 − 0.110160I
b = −0.733366 − 1.134380I
3.00889 − 0.33164I 4.36259 + 0.I
u = −0.822928 + 0.631892I
a = −2.08391 − 0.64936I
b = −0.347636 + 0.639214I
3.00889 − 0.33164I 4.36259 + 0.I
u = −0.822928 − 0.631892I
a = −0.176436 + 0.110160I
b = −0.733366 + 1.134380I
3.00889 + 0.33164I 4.36259 + 0.I
u = −0.822928 − 0.631892I
a = −2.08391 + 0.64936I
b = −0.347636 − 0.639214I
3.00889 + 0.33164I 4.36259 + 0.I
u = −0.875027 + 0.294558I
a = −1.50259 − 1.83848I
b = −0.183063 − 0.439638I
−0.96070 + 1.25401I −8.94945 + 0.67445I
u = −0.875027 + 0.294558I
a = 2.34203 − 0.82616I
b = 0.35785 − 1.95258I
−0.96070 + 1.25401I −8.94945 + 0.67445I
u = −0.875027 − 0.294558I
a = −1.50259 + 1.83848I
b = −0.183063 + 0.439638I
−0.96070 − 1.25401I −8.94945 − 0.67445I
u = −0.875027 − 0.294558I
a = 2.34203 + 0.82616I
b = 0.35785 + 1.95258I
−0.96070 − 1.25401I −8.94945 − 0.67445I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.876145 + 0.628792I
a = 0.539905 − 0.602343I
b = 0.234384 + 0.870708I
2.84261 + 5.26736I 3.35403 − 7.60586I
u = −0.876145 + 0.628792I
a = 2.13558 + 0.80967I
b = 0.930602 − 1.036450I
2.84261 + 5.26736I 3.35403 − 7.60586I
u = −0.876145 − 0.628792I
a = 0.539905 + 0.602343I
b = 0.234384 − 0.870708I
2.84261 − 5.26736I 3.35403 + 7.60586I
u = −0.876145 − 0.628792I
a = 2.13558 − 0.80967I
b = 0.930602 + 1.036450I
2.84261 − 5.26736I 3.35403 + 7.60586I
u = 0.527466 + 0.964532I
a = 0.432004 − 0.205116I
b = −0.89197 + 1.43000I
10.61430 + 2.69864I 6.67505 − 1.90999I
u = 0.527466 + 0.964532I
a = 0.359003 + 0.138407I
b = −0.227656 − 0.861311I
10.61430 + 2.69864I 6.67505 − 1.90999I
u = 0.527466 − 0.964532I
a = 0.432004 + 0.205116I
b = −0.89197 − 1.43000I
10.61430 − 2.69864I 6.67505 + 1.90999I
u = 0.527466 − 0.964532I
a = 0.359003 − 0.138407I
b = −0.227656 + 0.861311I
10.61430 − 2.69864I 6.67505 + 1.90999I
u = −1.093320 + 0.179580I
a = 0.89041 + 1.21145I
b = 0.453625 + 0.650671I
−3.70743 − 0.52130I −13.5326 + 9.1617I
u = −1.093320 + 0.179580I
a = −1.80070 + 0.29530I
b = −1.09872 + 1.14420I
−3.70743 − 0.52130I −13.5326 + 9.1617I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.093320 − 0.179580I
a = 0.89041 − 1.21145I
b = 0.453625 − 0.650671I
−3.70743 + 0.52130I −13.5326 − 9.1617I
u = −1.093320 − 0.179580I
a = −1.80070 − 0.29530I
b = −1.09872 − 1.14420I
−3.70743 + 0.52130I −13.5326 − 9.1617I
u = −0.916400 + 0.651883I
a = −0.207802 + 0.995231I
b = 0.124308 − 1.016930I
9.83608 + 9.47995I 3.75244 − 7.98910I
u = −0.916400 + 0.651883I
a = −2.29406 − 0.72813I
b = −0.90398 + 1.59431I
9.83608 + 9.47995I 3.75244 − 7.98910I
u = −0.916400 − 0.651883I
a = −0.207802 − 0.995231I
b = 0.124308 + 1.016930I
9.83608 − 9.47995I 3.75244 + 7.98910I
u = −0.916400 − 0.651883I
a = −2.29406 + 0.72813I
b = −0.90398 − 1.59431I
9.83608 − 9.47995I 3.75244 + 7.98910I
u = 0.938483 + 0.622081I
a = −0.290651 − 0.867054I
b = 0.78135 − 1.19741I
1.25328 − 3.16772I 1.51749 + 5.49111I
u = 0.938483 + 0.622081I
a = −1.82859 + 0.92274I
b = −0.327871 − 0.874472I
1.25328 − 3.16772I 1.51749 + 5.49111I
u = 0.938483 − 0.622081I
a = −0.290651 + 0.867054I
b = 0.78135 + 1.19741I
1.25328 + 3.16772I 1.51749 − 5.49111I
u = 0.938483 − 0.622081I
a = −1.82859 − 0.92274I
b = −0.327871 + 0.874472I
1.25328 + 3.16772I 1.51749 − 5.49111I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853008 + 0.796431I
a = 1.159190 − 0.401879I
b = −0.155456 + 0.938638I
10.22430 − 2.96196I 5.75050 + 2.92195I
u = 0.853008 + 0.796431I
a = 0.187162 − 0.377050I
b = 0.104765 + 1.073070I
10.22430 − 2.96196I 5.75050 + 2.92195I
u = 0.853008 − 0.796431I
a = 1.159190 + 0.401879I
b = −0.155456 − 0.938638I
10.22430 + 2.96196I 5.75050 − 2.92195I
u = 0.853008 − 0.796431I
a = 0.187162 + 0.377050I
b = 0.104765 − 1.073070I
10.22430 + 2.96196I 5.75050 − 2.92195I
u = 1.028580 + 0.594924I
a = −0.674443 + 1.145360I
b = −1.47342 + 0.43019I
−1.01198 − 7.11892I −6.76502 + 8.90706I
u = 1.028580 + 0.594924I
a = 2.04370 − 0.39791I
b = 0.626826 + 0.982813I
−1.01198 − 7.11892I −6.76502 + 8.90706I
u = 1.028580 − 0.594924I
a = −0.674443 − 1.145360I
b = −1.47342 − 0.43019I
−1.01198 + 7.11892I −6.76502 − 8.90706I
u = 1.028580 − 0.594924I
a = 2.04370 + 0.39791I
b = 0.626826 − 0.982813I
−1.01198 + 7.11892I −6.76502 − 8.90706I
u = 0.266931 + 0.728758I
a = 0.760979 + 0.917167I
b = −1.413160 + 0.001121I
6.40895 + 5.19119I 1.23750 − 4.36469I
u = 0.266931 + 0.728758I
a = 0.221346 + 0.006852I
b = 0.580068 − 1.153180I
6.40895 + 5.19119I 1.23750 − 4.36469I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.266931 − 0.728758I
a = 0.760979 − 0.917167I
b = −1.413160 − 0.001121I
6.40895 − 5.19119I 1.23750 + 4.36469I
u = 0.266931 − 0.728758I
a = 0.221346 − 0.006852I
b = 0.580068 + 1.153180I
6.40895 − 5.19119I 1.23750 + 4.36469I
u = 1.101200 + 0.576052I
a = 1.30305 − 1.16985I
b = 1.96596 + 0.22334I
4.13777 − 10.06040I 0
u = 1.101200 + 0.576052I
a = −2.01391 + 0.02178I
b = −0.769329 − 1.160160I
4.13777 − 10.06040I 0
u = 1.101200 − 0.576052I
a = 1.30305 + 1.16985I
b = 1.96596 − 0.22334I
4.13777 + 10.06040I 0
u = 1.101200 − 0.576052I
a = −2.01391 − 0.02178I
b = −0.769329 + 1.160160I
4.13777 + 10.06040I 0
u = −1.226880 + 0.231515I
a = −0.399605 − 1.256660I
b = −0.499288 − 0.861891I
1.74664 − 2.01379I 0
u = −1.226880 + 0.231515I
a = 1.77450 + 0.14681I
b = 1.76505 − 0.97612I
1.74664 − 2.01379I 0
u = −1.226880 − 0.231515I
a = −0.399605 + 1.256660I
b = −0.499288 + 0.861891I
1.74664 + 2.01379I 0
u = −1.226880 − 0.231515I
a = 1.77450 − 0.14681I
b = 1.76505 + 0.97612I
1.74664 + 2.01379I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.25241
a = −1.13370
b = −1.13825
−2.53306 13.6300
u = −1.25241
a = 0.342638
b = 0.0874617
−2.53306 13.6300
u = 0.492169 + 0.550529I
a = −0.551572 − 0.482028I
b = −0.441630 + 0.963328I
0.46127 + 2.38551I −3.21466 − 4.74336I
u = 0.492169 + 0.550529I
a = 0.21342 − 1.51071I
b = 1.059490 + 0.201611I
0.46127 + 2.38551I −3.21466 − 4.74336I
u = 0.492169 − 0.550529I
a = −0.551572 + 0.482028I
b = −0.441630 − 0.963328I
0.46127 − 2.38551I −3.21466 + 4.74336I
u = 0.492169 − 0.550529I
a = 0.21342 + 1.51071I
b = 1.059490 − 0.201611I
0.46127 − 2.38551I −3.21466 + 4.74336I
u = 0.701994 + 0.161879I
a = 0.909145 + 0.128046I
b = 0.535532 − 1.241620I
6.92768 + 5.83771I −3.19956 − 4.02025I
u = 0.701994 + 0.161879I
a = −0.69186 + 3.27386I
b = −1.05481 + 0.97876I
6.92768 + 5.83771I −3.19956 − 4.02025I
u = 0.701994 − 0.161879I
a = 0.909145 − 0.128046I
b = 0.535532 + 1.241620I
6.92768 − 5.83771I −3.19956 + 4.02025I
u = 0.701994 − 0.161879I
a = −0.69186 − 3.27386I
b = −1.05481 − 0.97876I
6.92768 − 5.83771I −3.19956 + 4.02025I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.107580 + 0.681302I
a = 1.231810 − 0.087905I
b = 0.462807 + 0.741726I
2.15078 − 8.00235I 0
u = 1.107580 + 0.681302I
a = −1.59815 + 0.44757I
b = −0.93885 − 1.23925I
2.15078 − 8.00235I 0
u = 1.107580 − 0.681302I
a = 1.231810 + 0.087905I
b = 0.462807 − 0.741726I
2.15078 + 8.00235I 0
u = 1.107580 − 0.681302I
a = −1.59815 − 0.44757I
b = −0.93885 + 1.23925I
2.15078 + 8.00235I 0
u = 1.132060 + 0.720348I
a = −1.108790 − 0.248661I
b = 0.025222 − 0.768787I
8.75682 − 8.84366I 0
u = 1.132060 + 0.720348I
a = 1.72312 − 0.46642I
b = 1.00221 + 1.68776I
8.75682 − 8.84366I 0
u = 1.132060 − 0.720348I
a = −1.108790 + 0.248661I
b = 0.025222 + 0.768787I
8.75682 + 8.84366I 0
u = 1.132060 − 0.720348I
a = 1.72312 + 0.46642I
b = 1.00221 − 1.68776I
8.75682 + 8.84366I 0
u = −1.34302
a = 0.664876 + 0.247933I
b = 0.989538 + 0.259051I
3.52091 0
u = −1.34302
a = 0.664876 − 0.247933I
b = 0.989538 − 0.259051I
3.52091 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.498194 + 0.170122I
a = −0.858781 − 0.797275I
b = −0.354161 + 0.911233I
0.48998 + 2.27367I −4.83140 − 3.81720I
u = 0.498194 + 0.170122I
a = 0.29069 − 2.85485I
b = 0.693739 − 0.139657I
0.48998 + 2.27367I −4.83140 − 3.81720I
u = 0.498194 − 0.170122I
a = −0.858781 + 0.797275I
b = −0.354161 − 0.911233I
0.48998 − 2.27367I −4.83140 + 3.81720I
u = 0.498194 − 0.170122I
a = 0.29069 + 2.85485I
b = 0.693739 + 0.139657I
0.48998 − 2.27367I −4.83140 + 3.81720I
22
III. I
u
3
=
h−3u
15
+11u
14
+· · ·+b+6, −4u
15
+13u
14
+· · ·+a+6, u
16
−4u
15
+· · ·−3u+1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
4u
15
− 13u
14
+ ··· + 12u − 6
3u
15
− 11u
14
+ ··· + 9u − 6
a
7
=
−u
15
+ 4u
14
+ ··· − 5u + 1
−u
15
+ 3u
14
+ ··· + u
2
− 3u
a
11
=
u
15
− 2u
14
+ ··· − 4u
2
+ 3u
3u
15
− 11u
14
+ ··· + 9u − 6
a
8
=
−4u
15
+ 12u
14
+ ··· − 9u + 2
−5u
15
+ 19u
14
+ ··· − 17u + 9
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
4u
15
− 12u
14
+ ··· + 9u − 2
4u
15
− 13u
14
+ ··· + 11u − 4
a
9
=
4u
15
− 16u
14
+ ··· + 16u − 8
−u
15
+ 2u
14
+ ··· − u − 1
a
12
=
−5u
15
+ 18u
14
+ ··· − 15u + 6
−3u
15
+ 12u
14
+ ··· − 11u + 6
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u
15
+ 28u
14
− 24u
13
− 45u
12
+ 121u
11
− 111u
10
+ 38u
9
+
23u
8
− 93u
7
+ 175u
6
− 180u
5
+ 94u
4
− 19u
3
+ 15u
2
− 25u + 18
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
16
− 6u
15
+ ··· − 3u + 1
c
2
u
16
+ 4u
15
+ ··· + 3u + 1
c
3
, c
10
u
16
+ u
14
+ ··· − 2u
2
− 1
c
4
, c
12
u
16
− 7u
14
+ ··· + 2u + 1
c
5
u
16
− 4u
15
+ ··· − 3u + 1
c
6
, c
9
u
16
+ 2u
15
+ ··· − 2u − 1
c
7
, c
8
u
16
− 5u
15
+ ··· − 8u − 3
c
11
u
16
+ 5u
15
+ ··· + 8u − 3
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
16
+ 2y
15
+ ··· + 29y + 1
c
2
, c
5
y
16
− 6y
15
+ ··· − 3y + 1
c
3
, c
10
y
16
+ 2y
15
+ ··· + 4y + 1
c
4
, c
12
y
16
− 14y
15
+ ··· − 20y
2
+ 1
c
6
, c
9
y
16
+ 4y
15
+ ··· + 2y + 1
c
7
, c
8
, c
11
y
16
− 21y
15
+ ··· − 160y + 9
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.338226 + 0.958950I
a = 0.339958 − 0.513177I
b = −0.595812 + 0.801019I
8.81727 + 5.86240I 4.01341 − 1.30618I
u = −0.338226 − 0.958950I
a = 0.339958 + 0.513177I
b = −0.595812 − 0.801019I
8.81727 − 5.86240I 4.01341 + 1.30618I
u = 0.609808 + 0.708721I
a = 0.463208 − 0.215804I
b = 0.608740 − 0.753121I
2.29985 + 2.15456I 2.96608 − 3.00274I
u = 0.609808 − 0.708721I
a = 0.463208 + 0.215804I
b = 0.608740 + 0.753121I
2.29985 − 2.15456I 2.96608 + 3.00274I
u = 1.052940 + 0.654544I
a = −1.54648 + 0.44104I
b = −0.822876 − 0.751021I
0.93264 − 7.46106I −1.96489 + 6.60058I
u = 1.052940 − 0.654544I
a = −1.54648 − 0.44104I
b = −0.822876 + 0.751021I
0.93264 + 7.46106I −1.96489 − 6.60058I
u = 1.119080 + 0.559931I
a = 1.68298 − 0.10916I
b = 1.16510 + 1.02586I
5.80052 − 9.99229I 2.77316 + 8.71840I
u = 1.119080 − 0.559931I
a = 1.68298 + 0.10916I
b = 1.16510 − 1.02586I
5.80052 + 9.99229I 2.77316 − 8.71840I
u = −1.26436
a = −0.833629
b = −0.714806
−2.84996 −18.1780
u = 0.918460 + 0.873721I
a = 0.432552 − 0.953680I
b = 0.014082 + 0.732499I
8.91391 − 3.23142I 13.51728 − 3.34906I
26
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.918460 − 0.873721I
a = 0.432552 + 0.953680I
b = 0.014082 − 0.732499I
8.91391 + 3.23142I 13.51728 + 3.34906I
u = 0.514771 + 0.399698I
a = −0.23756 + 1.59385I
b = −0.79153 + 1.18241I
7.96457 + 5.69063I 6.42996 − 3.10822I
u = 0.514771 − 0.399698I
a = −0.23756 − 1.59385I
b = −0.79153 − 1.18241I
7.96457 − 5.69063I 6.42996 + 3.10822I
u = −0.450537 + 0.363850I
a = −0.48222 + 1.74678I
b = 0.325465 − 0.633246I
1.22774 + 2.85777I 3.22918 − 10.63144I
u = −0.450537 − 0.363850I
a = −0.48222 − 1.74678I
b = 0.325465 + 0.633246I
1.22774 − 2.85777I 3.22918 + 10.63144I
u = −1.58823
a = 0.528750
b = 0.908470
3.31408 −27.7500
27
IV. I
u
4
=
h−u
3
a−u
2
a+u
3
+au+2b+1, u
2
a+3u
3
+a
2
+au+2u
2
−a−3u−2, u
4
−u
2
+1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
a
1
2
u
3
a −
1
2
u
3
+ ··· −
1
2
au −
1
2
a
7
=
1
2
u
3
a + u
3
+ ··· −
1
2
a −
3
2
−u
3
a
11
=
−
1
2
u
3
a +
1
2
u
3
+ ··· + a +
1
2
1
2
u
3
a −
1
2
u
3
+ ··· −
1
2
au −
1
2
a
8
=
−
1
2
u
2
a +
3
2
u
3
+ ··· +
1
2
a − 1
1
2
u
3
a −
3
2
u
3
+ ··· −
1
2
au −
1
2
a
1
=
u
3
0
a
4
=
1
2
u
3
a +
3
2
u
2
+ ··· +
1
2
a +
1
2
−1
a
9
=
−
1
2
u
3
a +
1
2
u
3
+ ··· + a +
1
2
1
2
u
3
a −
1
2
u
3
+ ··· −
1
2
au −
1
2
a
12
=
−
1
2
u
3
a − u
3
+ ··· +
1
2
a +
3
2
u
3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4u
2
− 4
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)
4
c
2
, c
5
(u
4
− u
2
+ 1)
2
c
3
, c
10
u
8
+ 6u
6
+ 2u
5
+ 10u
4
+ 6u
3
+ 7u
2
+ 4u + 1
c
4
, c
12
(u
2
+ 1)
4
c
6
, c
9
u
8
+ 4u
7
+ 2u
6
− 8u
5
− 6u
4
+ 6u
3
+ 3u
2
− 2u + 1
c
7
, c
8
(u + 1)
8
c
11
(u − 1)
8
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)
4
c
2
, c
5
(y
2
− y + 1)
4
c
3
, c
10
y
8
+ 12y
7
+ 56y
6
+ 130y
5
+ 162y
4
+ 100y
3
+ 21y
2
− 2y + 1
c
4
, c
12
(y + 1)
8
c
6
, c
9
y
8
− 12y
7
+ 56y
6
− 130y
5
+ 162y
4
− 100y
3
+ 21y
2
+ 2y + 1
c
7
, c
8
, c
11
(y −1)
8
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.866025 + 0.500000I
a = −2.12127 + 0.08625I
b = −0.17069 − 1.96464I
− 2.02988I −2.00000 + 3.46410I
u = 0.866025 + 0.500000I
a = 1.75524 − 1.45227I
b = 0.170691 + 0.964637I
− 2.02988I −2.00000 + 3.46410I
u = 0.866025 − 0.500000I
a = −2.12127 − 0.08625I
b = −0.17069 + 1.96464I
2.02988I −2.00000 − 3.46410I
u = 0.866025 − 0.500000I
a = 1.75524 + 1.45227I
b = 0.170691 − 0.964637I
2.02988I −2.00000 − 3.46410I
u = −0.866025 + 0.500000I
a = 0.464166 − 0.918331I
b = −0.351035 − 1.212180I
2.02988I −2.00000 − 3.46410I
u = −0.866025 + 0.500000I
a = 0.90186 + 1.28436I
b = 0.351035 + 0.212180I
2.02988I −2.00000 − 3.46410I
u = −0.866025 − 0.500000I
a = 0.464166 + 0.918331I
b = −0.351035 + 1.212180I
− 2.02988I −2.00000 + 3.46410I
u = −0.866025 − 0.500000I
a = 0.90186 − 1.28436I
b = 0.351035 − 0.212180I
− 2.02988I −2.00000 + 3.46410I
31
V. I
u
5
= hb − a − 1, a
2
+ 3a + 3, u + 1i
(i) Arc colorings
a
2
=
0
−1
a
5
=
1
0
a
6
=
1
1
a
3
=
1
0
a
10
=
a
a + 1
a
7
=
a + 1
a + 2
a
11
=
−1
a + 1
a
8
=
a + 1
a + 2
a
1
=
−1
−1
a
4
=
0
a + 1
a
9
=
a + 1
a + 2
a
12
=
−1
a + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −6
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
6
c
9
(u − 1)
2
c
3
, c
4
, c
10
c
12
u
2
− u + 1
c
5
(u + 1)
2
c
7
, c
8
, c
11
u
2
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
(y −1)
2
c
3
, c
4
, c
10
c
12
y
2
+ y + 1
c
7
, c
8
, c
11
y
2
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.50000 + 0.86603I
b = −0.500000 + 0.866025I
−3.28987 −6.00000
u = −1.00000
a = −1.50000 − 0.86603I
b = −0.500000 − 0.866025I
−3.28987 −6.00000
35
VI. I
u
6
= hb − a + 1, a
4
− 6a
3
+ 15a
2
− 18a + 7, u + 1i
(i) Arc colorings
a
2
=
0
−1
a
5
=
1
0
a
6
=
1
1
a
3
=
1
0
a
10
=
a
a − 1
a
7
=
−a + 1
−a + 2
a
11
=
1
a − 1
a
8
=
a
2
− 4a + 4
a
3
− 4a
2
+ 5a − 1
a
1
=
−1
−1
a
4
=
a
2
− 3a + 3
a
2
− 4a + 4
a
9
=
a − 1
a − 2
a
12
=
a
3
− 4a
2
+ 6a − 4
a
3
− 5a
2
+ 8a − 5
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4
36
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
4
c
3
, c
10
u
4
+ 2u
3
+ 3u
2
+ 2u − 1
c
4
, c
12
u
4
− 2u
3
+ 3u
2
− 2u − 1
c
5
, c
6
, c
9
(u + 1)
4
c
7
, c
8
, c
11
(u
2
− 2)
2
37
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
(y −1)
4
c
3
, c
4
, c
10
c
12
y
4
+ 2y
3
− y
2
− 10y + 1
c
7
, c
8
, c
11
(y −2)
4
38
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0.685007
b = −0.314993
1.64493 −4.00000
u = −1.00000
a = 1.50000 + 1.47113I
b = 0.50000 + 1.47113I
1.64493 −4.00000
u = −1.00000
a = 1.50000 − 1.47113I
b = 0.50000 − 1.47113I
1.64493 −4.00000
u = −1.00000
a = 2.31499
b = 1.31499
1.64493 −4.00000
39
VII. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
6
)(u
2
− u + 1)
4
(u
16
− 6u
15
+ ··· − 3u + 1)
· ((u
42
+ 18u
41
+ ··· + 139u + 9)
2
)(u
52
+ 19u
51
+ ··· + 2465u + 64)
c
2
((u − 1)
6
)(u
4
− u
2
+ 1)
2
(u
16
+ 4u
15
+ ··· + 3u + 1)
· ((u
42
− 4u
41
+ ··· − 23u + 3)
2
)(u
52
+ 11u
51
+ ··· − 105u − 8)
c
3
, c
10
(u
2
− u + 1)(u
4
+ 2u
3
+ 3u
2
+ 2u − 1)
· (u
8
+ 6u
6
+ ··· + 4u + 1)(u
16
+ u
14
+ ··· − 2u
2
− 1)
· (u
52
+ 12u
50
+ ··· − 11u + 1)(u
84
− 2u
83
+ ··· + 277053u − 23701)
c
4
, c
12
((u
2
+ 1)
4
)(u
2
− u + 1)(u
4
− 2u
3
+ ··· − 2u − 1)(u
16
− 7u
14
+ ··· + 2u + 1)
· (u
52
+ 4u
51
+ ··· − 11u + 1)(u
84
+ 10u
83
+ ··· − 117u + 513)
c
5
((u + 1)
6
)(u
4
− u
2
+ 1)
2
(u
16
− 4u
15
+ ··· − 3u + 1)
· ((u
42
− 4u
41
+ ··· − 23u + 3)
2
)(u
52
+ 11u
51
+ ··· − 105u − 8)
c
6
, c
9
(u − 1)
2
(u + 1)
4
(u
8
+ 4u
7
+ 2u
6
− 8u
5
− 6u
4
+ 6u
3
+ 3u
2
− 2u + 1)
· (u
16
+ 2u
15
+ ··· − 2u − 1)(u
52
− 4u
51
+ ··· + u − 1)
· (u
84
− u
83
+ ··· + 8u − 1)
c
7
, c
8
u
2
(u + 1)
8
(u
2
− 2)
2
(u
16
− 5u
15
+ ··· − 8u − 3)
· ((u
42
+ 5u
41
+ ··· − 8u − 2)
2
)(u
52
− 14u
51
+ ··· − 15u + 2)
c
11
u
2
(u − 1)
8
(u
2
− 2)
2
(u
16
+ 5u
15
+ ··· + 8u − 3)
· ((u
42
+ 5u
41
+ ··· − 8u − 2)
2
)(u
52
− 14u
51
+ ··· − 15u + 2)
40
VIII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
6
)(y
2
+ y + 1)
4
(y
16
+ 2y
15
+ ··· + 29y + 1)
· (y
42
+ 18y
41
+ ··· + 317y + 81)
2
· (y
52
+ 21y
51
+ ··· − 3151553y + 4096)
c
2
, c
5
((y −1)
6
)(y
2
− y + 1)
4
(y
16
− 6y
15
+ ··· − 3y + 1)
· ((y
42
− 18y
41
+ ··· − 139y + 9)
2
)(y
52
− 19y
51
+ ··· − 2465y + 64)
c
3
, c
10
(y
2
+ y + 1)(y
4
+ 2y
3
− y
2
− 10y + 1)
· (y
8
+ 12y
7
+ 56y
6
+ 130y
5
+ 162y
4
+ 100y
3
+ 21y
2
− 2y + 1)
· (y
16
+ 2y
15
+ ··· + 4y + 1)(y
52
+ 24y
51
+ ··· − 43y + 1)
· (y
84
+ 30y
83
+ ··· − 54716197799y + 561737401)
c
4
, c
12
(y + 1)
8
(y
2
+ y + 1)(y
4
+ 2y
3
− y
2
− 10y + 1)
· (y
16
− 14y
15
+ ··· − 20y
2
+ 1)(y
52
+ 12y
51
+ ··· − 31y + 1)
· (y
84
− 34y
83
+ ··· − 6200469y + 263169)
c
6
, c
9
((y −1)
6
)(y
8
− 12y
7
+ ··· + 2y + 1)
· (y
16
+ 4y
15
+ ··· + 2y + 1)(y
52
− 30y
51
+ ··· − 61y + 1)
· (y
84
+ 17y
83
+ ··· − 72y + 1)
c
7
, c
8
, c
11
y
2
(y −2)
4
(y −1)
8
(y
16
− 21y
15
+ ··· − 160y + 9)
· ((y
42
− 45y
41
+ ··· − 96y + 4)
2
)(y
52
− 58y
51
+ ··· − 137y + 4)
41
