12a
0896
(K12a
0896
)
A knot diagram
1
Linearized knot diagam
4 6 8 9 12 10 11 1 2 7 3 5
Solving Sequence
5,9 1,4
2 10 8 3 12 6 11 7
c
4
c
1
c
9
c
8
c
3
c
12
c
5
c
11
c
7
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.34885 × 10
51
u
44
− 9.18014 × 10
50
u
43
+ ··· + 1.51382 × 10
51
b + 5.69474 × 10
50
, a − 1,
u
45
+ u
44
+ ··· + u
2
+ 1i
I
u
2
= h−3.32331 × 10
380
u
89
+ 1.05242 × 10
381
u
88
+ ··· + 6.08883 × 10
382
b + 3.39083 × 10
385
,
4.71676 × 10
505
u
89
− 6.33964 × 10
505
u
88
+ ··· + 1.97874 × 10
507
a − 1.81413 × 10
510
,
u
90
+ 16u
88
+ ··· + 27804u + 13223i
I
u
3
= h−3.69959 × 10
18
u
30
+ 9.95612 × 10
17
u
29
+ ··· + 5.38462 × 10
18
b − 7.23401 × 10
18
, a + 1,
u
31
+ 7u
29
+ ··· + 5u − 1i
I
u
4
= h4u
5
+ 6u
4
− u
3
− 20u
2
+ 7b + 2u + 1, 2u
5
+ 3u
4
+ 3u
3
− 3u
2
+ 7a + u − 17, u
6
+ u
5
− u
4
− 4u
3
+ 3u
2
− 1i
I
u
5
= h−u
2
+ b, a − 1, u
3
− u
2
+ 1i
* 5 irreducible components of dim
C
= 0, with total 175 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−1.35 × 10
51
u
44
− 9.18 × 10
50
u
43
+ · · · + 1.51 × 10
51
b + 5.69 ×
10
50
, a − 1, u
45
+ u
44
+ · · · + u
2
+ 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1
0.891028u
44
+ 0.606424u
43
+ ··· + 1.18246u − 0.376185
a
4
=
1
u
2
a
2
=
−0.891028u
44
− 0.606424u
43
+ ··· − 1.18246u + 1.37618
1.21699u
44
+ 0.887098u
43
+ ··· + 2.07349u − 0.660788
a
10
=
0.637367u
44
+ 0.854223u
43
+ ··· + 2.26087u + 0.274666
−0.967895u
44
− 1.55698u
43
+ ··· − 3.27442u − 1.38255
a
8
=
−u
0.284603u
44
+ 0.610564u
43
+ ··· + 1.37618u + 0.891028
a
3
=
0.325961u
44
+ 0.280673u
43
+ ··· + 0.891028u + 0.715397
0.0822486u
44
+ 0.0152712u
43
+ ··· − 0.0512955u − 0.592079
a
12
=
−0.891028u
44
− 0.606424u
43
+ ··· − 1.18246u + 1.37618
0.891028u
44
+ 0.606424u
43
+ ··· + 1.18246u − 0.376185
a
6
=
0.513771u
44
− 0.317623u
43
+ ··· + 0.304119u − 2.06785
−1.40480u
44
− 0.288801u
43
+ ··· − 1.48658u + 3.44403
a
11
=
−0.547463u
44
− 0.224911u
43
+ ··· + 0.274234u + 0.710542
0.0683607u
44
− 0.240991u
43
+ ··· − 0.677215u − 0.00789983
a
7
=
0.0291410u
44
+ 0.0929449u
43
+ ··· + 0.162826u + 0.628549
−0.547462u
44
− 0.504253u
43
+ ··· − 1.14241u + 0.332842
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.86191u
44
− 0.722513u
43
+ ··· − 3.52946u − 9.43826
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
45
− 38u
44
+ ··· + 6130u − 359
c
2
, c
11
u
45
+ 10u
43
+ ··· + 20u + 1
c
3
, c
9
u
45
− 2u
44
+ ··· − 40u − 29
c
4
, c
8
u
45
− u
44
+ ··· − u
2
− 1
c
5
, c
12
u
45
− 31u
44
+ ··· − 294912u + 16384
c
6
, c
7
, c
10
u
45
+ 14u
44
+ ··· − 2718u + 359
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
45
− 6y
44
+ ··· + 2626096y −128881
c
2
, c
11
y
45
+ 20y
44
+ ··· + 102y −1
c
3
, c
9
y
45
− 32y
44
+ ··· + 8212y −841
c
4
, c
8
y
45
+ 7y
44
+ ··· − 2y −1
c
5
, c
12
y
45
+ 29y
44
+ ··· + 2818572288y −268435456
c
6
, c
7
, c
10
y
45
− 48y
44
+ ··· + 8215378y −128881
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.564365 + 0.813191I
a = 1.00000
b = 1.43006 + 0.12131I
−10.06830 − 1.98394I −8.02610 − 1.64389I
u = 0.564365 − 0.813191I
a = 1.00000
b = 1.43006 − 0.12131I
−10.06830 + 1.98394I −8.02610 + 1.64389I
u = 0.861594 + 0.529697I
a = 1.00000
b = 0.545565 + 0.293703I
−2.87992 − 0.01145I −0.21811 − 1.91159I
u = 0.861594 − 0.529697I
a = 1.00000
b = 0.545565 − 0.293703I
−2.87992 + 0.01145I −0.21811 + 1.91159I
u = −0.886384 + 0.514640I
a = 1.00000
b = 0.184354 − 1.267760I
−7.90377 − 3.03475I −5.38740 + 3.35696I
u = −0.886384 − 0.514640I
a = 1.00000
b = 0.184354 + 1.267760I
−7.90377 + 3.03475I −5.38740 − 3.35696I
u = 0.520913 + 0.886886I
a = 1.00000
b = −0.095343 + 0.666527I
−2.31399 − 0.51377I 0.04847 + 2.37831I
u = 0.520913 − 0.886886I
a = 1.00000
b = −0.095343 − 0.666527I
−2.31399 + 0.51377I 0.04847 − 2.37831I
u = 1.04650
a = 1.00000
b = 0.642997
−4.08586 0.408890
u = 0.110876 + 0.934785I
a = 1.00000
b = 0.59974 + 1.58783I
−15.0174 + 9.5517I −11.30337 − 5.82529I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.110876 − 0.934785I
a = 1.00000
b = 0.59974 − 1.58783I
−15.0174 − 9.5517I −11.30337 + 5.82529I
u = −0.746442 + 0.758900I
a = 1.00000
b = 1.55978 − 0.32620I
−2.07357 − 2.36812I −8.67698 + 3.34660I
u = −0.746442 − 0.758900I
a = 1.00000
b = 1.55978 + 0.32620I
−2.07357 + 2.36812I −8.67698 − 3.34660I
u = −0.799306 + 0.819667I
a = 1.00000
b = 0.570328 − 0.772743I
1.29123 − 2.57191I 4.76466 + 2.68923I
u = −0.799306 − 0.819667I
a = 1.00000
b = 0.570328 + 0.772743I
1.29123 + 2.57191I 4.76466 − 2.68923I
u = −0.168001 + 0.797619I
a = 1.00000
b = 0.53691 − 1.68323I
−7.37427 − 6.32942I −9.48603 + 7.78051I
u = −0.168001 − 0.797619I
a = 1.00000
b = 0.53691 + 1.68323I
−7.37427 + 6.32942I −9.48603 − 7.78051I
u = 0.827483 + 0.858917I
a = 1.00000
b = 1.35844 + 0.46171I
−2.04447 + 8.65353I −4.06807 − 10.54213I
u = 0.827483 − 0.858917I
a = 1.00000
b = 1.35844 − 0.46171I
−2.04447 − 8.65353I −4.06807 + 10.54213I
u = −0.749281 + 0.254934I
a = 1.00000
b = 0.516102 + 0.768074I
−3.98822 + 3.85846I −2.02148 − 3.79152I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.749281 − 0.254934I
a = 1.00000
b = 0.516102 − 0.768074I
−3.98822 − 3.85846I −2.02148 + 3.79152I
u = −0.833708 + 0.928129I
a = 1.00000
b = 1.249040 − 0.390530I
−9.3721 − 13.0009I −5.25647 + 8.83296I
u = −0.833708 − 0.928129I
a = 1.00000
b = 1.249040 + 0.390530I
−9.3721 + 13.0009I −5.25647 − 8.83296I
u = 0.844710 + 0.937409I
a = 1.00000
b = 0.780518 + 1.119500I
−1.71437 + 6.73061I 1.80265 − 3.50880I
u = 0.844710 − 0.937409I
a = 1.00000
b = 0.780518 − 1.119500I
−1.71437 − 6.73061I 1.80265 + 3.50880I
u = −0.997302 + 0.850314I
a = 1.00000
b = 0.218571 − 1.335140I
−7.80196 − 2.75376I −5.66454 + 2.70325I
u = −0.997302 − 0.850314I
a = 1.00000
b = 0.218571 + 1.335140I
−7.80196 + 2.75376I −5.66454 − 2.70325I
u = 0.624390 + 0.272453I
a = 1.00000
b = 0.637919 − 0.583986I
1.80790 − 1.85836I 6.01405 + 4.43250I
u = 0.624390 − 0.272453I
a = 1.00000
b = 0.637919 + 0.583986I
1.80790 + 1.85836I 6.01405 − 4.43250I
u = −0.638144
a = 1.00000
b = 0.598650
1.12382 8.76820
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.190746 + 0.607300I
a = 1.00000
b = 1.11113 − 1.73200I
−12.15650 + 4.47549I −17.4373 − 6.8654I
u = 0.190746 − 0.607300I
a = 1.00000
b = 1.11113 + 1.73200I
−12.15650 − 4.47549I −17.4373 + 6.8654I
u = −0.409456 + 0.405741I
a = 1.00000
b = 1.143850 + 0.374109I
0.413454 − 0.362124I −0.08354 + 12.33091I
u = −0.409456 − 0.405741I
a = 1.00000
b = 1.143850 − 0.374109I
0.413454 + 0.362124I −0.08354 − 12.33091I
u = 0.045222 + 0.572912I
a = 1.00000
b = 0.67501 + 2.05430I
−5.79288 + 0.97880I −15.3278 − 7.0460I
u = 0.045222 − 0.572912I
a = 1.00000
b = 0.67501 − 2.05430I
−5.79288 − 0.97880I −15.3278 + 7.0460I
u = −0.89373 + 1.26100I
a = 1.00000
b = 0.55988 − 1.53758I
−15.4401 − 4.9169I 0
u = −0.89373 − 1.26100I
a = 1.00000
b = 0.55988 + 1.53758I
−15.4401 + 4.9169I 0
u = 0.446498
a = 1.00000
b = −0.315894
−1.26643 −7.40190
u = 0.95420 + 1.27132I
a = 1.00000
b = 0.51075 + 1.57322I
−8.22182 + 9.30501I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.95420 − 1.27132I
a = 1.00000
b = 0.51075 − 1.57322I
−8.22182 − 9.30501I 0
u = −0.98146 + 1.29918I
a = 1.00000
b = 0.47604 − 1.55107I
−8.3468 − 14.9243I 0
u = −0.98146 − 1.29918I
a = 1.00000
b = 0.47604 + 1.55107I
−8.3468 + 14.9243I 0
u = 0.99315 + 1.32754I
a = 1.00000
b = 0.46850 + 1.52794I
−15.4174 + 18.9895I 0
u = 0.99315 − 1.32754I
a = 1.00000
b = 0.46850 − 1.52794I
−15.4174 − 18.9895I 0
9
II. I
u
2
= h−3.32 × 10
380
u
89
+ 1.05 × 10
381
u
88
+ · · · + 6.09 × 10
382
b + 3.39 ×
10
385
, 4.72 × 10
505
u
89
− 6.34 × 10
505
u
88
+ · · · + 1.98 × 10
507
a − 1.81 ×
10
510
, u
90
+ 16u
88
+ · · · + 27804u + 13223i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−0.0238372u
89
+ 0.0320388u
88
+ ··· + 1190.55u + 916.809
0.00545804u
89
− 0.0172843u
88
+ ··· − 1066.22u − 556.893
a
4
=
1
u
2
a
2
=
−0.0179315u
89
+ 0.0355371u
88
+ ··· + 1681.16u + 1050.05
0.00275467u
89
− 0.0181637u
88
+ ··· − 1241.58u − 603.151
a
10
=
−0.0564612u
89
− 0.0105856u
88
+ ··· − 2999.25u − 587.000
0.0151156u
89
+ 0.00342591u
88
+ ··· + 772.555u + 140.383
a
8
=
−0.0777944u
89
− 0.00696445u
88
+ ··· − 3748.70u − 624.134
0.0209030u
89
− 0.00163004u
88
+ ··· + 743.221u + 54.5481
a
3
=
0.0413987u
89
+ 0.00457945u
88
+ ··· + 1167.99u + 97.9233
−0.0202129u
89
+ 0.0103608u
88
+ ··· + 77.8237u + 311.014
a
12
=
−0.0292952u
89
+ 0.0493231u
88
+ ··· + 2256.77u + 1473.70
0.00545804u
89
− 0.0172843u
88
+ ··· − 1066.22u − 556.893
a
6
=
−0.00638901u
89
+ 0.0283773u
88
+ ··· + 1384.54u + 874.053
0.00226377u
89
− 0.00747429u
88
+ ··· − 475.892u − 245.530
a
11
=
0.0165806u
89
− 0.0504084u
88
+ ··· − 2216.94u − 1573.52
−7.94570 × 10
−6
u
89
+ 0.0145851u
88
+ ··· + 696.480u + 472.656
a
7
=
−0.00521884u
89
+ 0.0284894u
88
+ ··· + 1162.49u + 850.729
0.0108268u
89
− 0.0138182u
88
+ ··· − 522.776u − 422.861
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0576964u
89
− 0.0343449u
88
+ ··· + 67.3647u − 1298.54
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
15
+ 7u
14
+ ··· + 3u + 2)
6
c
2
, c
11
u
90
− 3u
89
+ ··· + 368583436u + 40813519
c
3
, c
9
u
90
− 30u
88
+ ··· − 482802778u + 510990799
c
4
, c
8
u
90
+ 16u
88
+ ··· − 27804u + 13223
c
5
, c
12
(u
3
+ u
2
+ 2u + 1)
30
c
6
, c
7
, c
10
(u
15
− 2u
14
+ ··· + 2u − 1)
6
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
15
− 3y
14
+ ··· + 37y −4)
6
c
2
, c
11
y
90
+ 49y
89
+ ··· + 40419511289995220y + 1665743333163361
c
3
, c
9
y
90
− 60y
89
+ ··· − 8685965663911962662y + 261111596662658401
c
4
, c
8
y
90
+ 32y
89
+ ··· + 10436735834y + 174847729
c
5
, c
12
(y
3
+ 3y
2
+ 2y −1)
30
c
6
, c
7
, c
10
(y
15
− 16y
14
+ ··· + 10y −1)
6
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.450793 + 0.892322I
a = −0.083499 + 0.394491I
b = −0.215080 − 1.307140I
−8.77242 − 3.24501I 0
u = −0.450793 − 0.892322I
a = −0.083499 − 0.394491I
b = −0.215080 + 1.307140I
−8.77242 + 3.24501I 0
u = −0.617369 + 0.794033I
a = 0.381707 − 1.140980I
b = −0.569840
−2.56985 − 2.66927I 0
u = −0.617369 − 0.794033I
a = 0.381707 + 1.140980I
b = −0.569840
−2.56985 + 2.66927I 0
u = 0.743863 + 0.683033I
a = 0.097393 + 1.311270I
b = −0.569840
−9.52410 + 6.60915I 0
u = 0.743863 − 0.683033I
a = 0.097393 − 1.311270I
b = −0.569840
−9.52410 − 6.60915I 0
u = 0.889484 + 0.425134I
a = −0.156501 − 0.638037I
b = −0.215080 − 1.307140I
−3.40947 − 0.77561I 0
u = 0.889484 − 0.425134I
a = −0.156501 + 0.638037I
b = −0.215080 + 1.307140I
−3.40947 + 0.77561I 0
u = −0.067727 + 0.935174I
a = 1.34010 + 1.55198I
b = −0.215080 − 1.307140I
−13.6617 − 3.7810I 0
u = −0.067727 − 0.935174I
a = 1.34010 − 1.55198I
b = −0.215080 + 1.307140I
−13.6617 + 3.7810I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.449921 + 0.963859I
a = −0.980503 − 0.235140I
b = −0.569840
−1.94719 − 3.90370I 0
u = −0.449921 − 0.963859I
a = −0.980503 + 0.235140I
b = −0.569840
−1.94719 + 3.90370I 0
u = 0.918363 + 0.551105I
a = −0.185150 − 0.199254I
b = −0.569840
−1.152450 + 0.239040I 0
u = 0.918363 − 0.551105I
a = −0.185150 + 0.199254I
b = −0.569840
−1.152450 − 0.239040I 0
u = 0.667791 + 0.839271I
a = −0.964419 − 0.231283I
b = −0.569840
−1.94719 + 3.90370I 0
u = 0.667791 − 0.839271I
a = −0.964419 + 0.231283I
b = −0.569840
−1.94719 − 3.90370I 0
u = −0.240440 + 0.893607I
a = −1.93250 − 0.64358I
b = −0.215080 + 1.307140I
−13.14860 − 2.82812I 0
u = −0.240440 − 0.893607I
a = −1.93250 + 0.64358I
b = −0.215080 − 1.307140I
−13.14860 + 2.82812I 0
u = −0.343833 + 0.825774I
a = −0.704493 + 0.709711I
b = −0.569840
−9.01101 0
u = −0.343833 − 0.825774I
a = −0.704493 − 0.709711I
b = −0.569840
−9.01101 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.894446 + 0.671691I
a = −1.53052 + 0.76645I
b = −0.215080 + 1.307140I
−3.40947 − 6.43185I 0
u = −0.894446 − 0.671691I
a = −1.53052 − 0.76645I
b = −0.215080 − 1.307140I
−3.40947 + 6.43185I 0
u = −0.737965 + 0.864959I
a = −0.940659 + 0.405639I
b = −0.569840
−8.34415 − 4.54595I 0
u = −0.737965 − 0.864959I
a = −0.940659 − 0.405639I
b = −0.569840
−8.34415 + 4.54595I 0
u = −0.226624 + 1.137730I
a = −0.673885 + 0.049576I
b = −0.215080 + 1.307140I
−6.08478 + 1.07558I 0
u = −0.226624 − 1.137730I
a = −0.673885 − 0.049576I
b = −0.215080 − 1.307140I
−6.08478 − 1.07558I 0
u = 0.343312 + 1.112980I
a = −0.896393 + 0.386550I
b = −0.569840
−8.34415 + 4.54595I 0
u = 0.343312 − 1.112980I
a = −0.896393 − 0.386550I
b = −0.569840
−8.34415 − 4.54595I 0
u = −0.675478 + 0.482146I
a = −1.56017 + 0.55469I
b = −0.569840
−4.63484 − 6.07313I 0
u = −0.675478 − 0.482146I
a = −1.56017 − 0.55469I
b = −0.569840
−4.63484 + 6.07313I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.670320 + 1.007490I
a = 0.263695 + 0.788224I
b = −0.569840
−2.56985 − 2.66927I 0
u = 0.670320 − 1.007490I
a = 0.263695 − 0.788224I
b = −0.569840
−2.56985 + 2.66927I 0
u = 0.096315 + 0.777932I
a = −1.47594 + 0.10858I
b = −0.215080 − 1.307140I
−6.08478 − 1.07558I 0
u = 0.096315 − 0.777932I
a = −1.47594 − 0.10858I
b = −0.215080 + 1.307140I
−6.08478 + 1.07558I 0
u = 0.125972 + 0.769406I
a = 2.07233 − 1.72737I
b = −0.215080 + 1.307140I
−6.70744 − 0.15885I 0
u = 0.125972 − 0.769406I
a = 2.07233 + 1.72737I
b = −0.215080 − 1.307140I
−6.70744 + 0.15885I 0
u = 0.491223 + 0.602213I
a = −2.75042 − 0.20746I
b = −0.215080 − 1.307140I
−5.29004 + 3.06716I 0
u = 0.491223 − 0.602213I
a = −2.75042 + 0.20746I
b = −0.215080 + 1.307140I
−5.29004 − 3.06716I 0
u = −0.013207 + 0.748305I
a = −1.91042 − 0.26991I
b = −0.215080 + 1.307140I
−12.48170 + 1.71783I 0
u = −0.013207 − 0.748305I
a = −1.91042 + 0.26991I
b = −0.215080 − 1.307140I
−12.48170 − 1.71783I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.864777 + 0.967206I
a = −0.474007 − 0.033892I
b = −0.569840
0.72812 − 3.60373I 0
u = −0.864777 − 0.967206I
a = −0.474007 + 0.033892I
b = −0.569840
0.72812 + 3.60373I 0
u = −0.823191 + 1.041930I
a = 0.056332 − 0.758438I
b = −0.569840
−9.52410 + 6.60915I 0
u = −0.823191 − 1.041930I
a = 0.056332 + 0.758438I
b = −0.569840
−9.52410 − 6.60915I 0
u = −0.025786 + 0.651575I
a = 2.24023 + 2.69442I
b = −0.215080 − 1.307140I
−6.70744 + 5.49740I −13.1635 − 7.8232I
u = −0.025786 − 0.651575I
a = 2.24023 − 2.69442I
b = −0.215080 + 1.307140I
−6.70744 − 5.49740I −13.1635 + 7.8232I
u = 0.132046 + 0.634057I
a = −0.36262 − 1.47836I
b = −0.215080 + 1.307140I
−3.40947 + 0.77561I 0. − 4.54523I
u = 0.132046 − 0.634057I
a = −0.36262 + 1.47836I
b = −0.215080 − 1.307140I
−3.40947 − 0.77561I 0. + 4.54523I
u = −0.078402 + 0.638322I
a = 1.63347 − 3.13438I
b = −0.215080 + 1.307140I
−13.6617 − 9.4373I −12.6504 + 8.6739I
u = −0.078402 − 0.638322I
a = 1.63347 + 3.13438I
b = −0.215080 − 1.307140I
−13.6617 + 9.4373I −12.6504 − 8.6739I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.786420 + 1.126910I
a = −0.569028 + 0.202308I
b = −0.569840
−4.63484 + 6.07313I 0
u = 0.786420 − 1.126910I
a = −0.569028 − 0.202308I
b = −0.569840
−4.63484 − 6.07313I 0
u = 0.442691 + 0.429154I
a = −2.09894 − 0.15007I
b = −0.569840
0.72812 + 3.60373I 6.57622 − 7.52468I
u = 0.442691 − 0.429154I
a = −2.09894 + 0.15007I
b = −0.569840
0.72812 − 3.60373I 6.57622 + 7.52468I
u = 0.152739 + 0.594127I
a = −2.35997 + 1.77116I
b = −0.215080 − 1.307140I
−5.29004 + 2.58908I −11.14999 + 0.51999I
u = 0.152739 − 0.594127I
a = −2.35997 − 1.77116I
b = −0.215080 + 1.307140I
−5.29004 − 2.58908I −11.14999 − 0.51999I
u = −0.568197 + 1.287040I
a = −1.267700 − 0.428387I
b = −0.215080 + 1.307140I
−12.4817 − 7.3741I 0
u = −0.568197 − 1.287040I
a = −1.267700 + 0.428387I
b = −0.215080 − 1.307140I
−12.4817 + 7.3741I 0
u = 1.20106 + 0.74724I
a = −1.016280 − 0.705009I
b = −0.215080 − 1.307140I
−8.77242 + 8.90126I 0
u = 1.20106 − 0.74724I
a = −1.016280 + 0.705009I
b = −0.215080 + 1.307140I
−8.77242 − 8.90126I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.22721 + 1.42601I
a = −0.513202 − 0.072507I
b = −0.215080 − 1.307140I
−12.48170 − 1.71783I 0
u = 0.22721 − 1.42601I
a = −0.513202 + 0.072507I
b = −0.215080 + 1.307140I
−12.48170 + 1.71783I 0
u = 0.72157 + 1.25200I
a = −1.172060 + 0.201299I
b = −0.215080 − 1.307140I
−6.08478 + 6.73182I 0
u = 0.72157 − 1.25200I
a = −1.172060 − 0.201299I
b = −0.215080 + 1.307140I
−6.08478 − 6.73182I 0
u = −0.314372 + 0.252342I
a = −0.51354 + 2.42621I
b = −0.215080 + 1.307140I
−8.77242 + 3.24501I −5.19749 − 3.94232I
u = −0.314372 − 0.252342I
a = −0.51354 − 2.42621I
b = −0.215080 − 1.307140I
−8.77242 − 3.24501I −5.19749 + 3.94232I
u = −0.060224 + 0.285025I
a = −2.50261 − 2.69326I
b = −0.569840
−1.152450 − 0.239040I −4.62073 + 3.49944I
u = −0.060224 − 0.285025I
a = −2.50261 + 2.69326I
b = −0.569840
−1.152450 + 0.239040I −4.62073 − 3.49944I
u = −1.09775 + 1.32216I
a = −0.828754 + 0.142338I
b = −0.215080 + 1.307140I
−6.08478 − 6.73182I 0
u = −1.09775 − 1.32216I
a = −0.828754 − 0.142338I
b = −0.215080 − 1.307140I
−6.08478 + 6.73182I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.69380 + 1.60616I
a = −0.664295 − 0.460833I
b = −0.215080 + 1.307140I
−8.77242 − 8.90126I 0
u = −0.69380 − 1.60616I
a = −0.664295 + 0.460833I
b = −0.215080 − 1.307140I
−8.77242 + 8.90126I 0
u = −1.41275 + 1.13160I
a = −0.271059 + 0.203430I
b = −0.215080 + 1.307140I
−5.29004 − 2.58908I 0
u = −1.41275 − 1.13160I
a = −0.271059 − 0.203430I
b = −0.215080 − 1.307140I
−5.29004 + 2.58908I 0
u = 1.27165 + 1.38817I
a = −0.707985 − 0.239246I
b = −0.215080 − 1.307140I
−12.4817 + 7.3741I 0
u = 1.27165 − 1.38817I
a = −0.707985 + 0.239246I
b = −0.215080 + 1.307140I
−12.4817 − 7.3741I 0
u = 1.03976 + 1.57215I
a = −0.465804 − 0.155127I
b = −0.215080 − 1.307140I
−13.14860 + 2.82812I 0
u = 1.03976 − 1.57215I
a = −0.465804 + 0.155127I
b = −0.215080 + 1.307140I
−13.14860 − 2.82812I 0
u = 0.85415 + 1.71359I
a = −0.522372 + 0.261593I
b = −0.215080 − 1.307140I
−3.40947 + 6.43185I 0
u = 0.85415 − 1.71359I
a = −0.522372 − 0.261593I
b = −0.215080 + 1.307140I
−3.40947 − 6.43185I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.54214 + 1.14812I
a = 0.318729 − 0.369121I
b = −0.215080 − 1.307140I
−13.6617 − 3.7810I 0
u = −1.54214 − 1.14812I
a = 0.318729 + 0.369121I
b = −0.215080 + 1.307140I
−13.6617 + 3.7810I 0
u = 1.59010 + 1.37686I
a = 0.284725 + 0.237330I
b = −0.215080 + 1.307140I
−6.70744 − 0.15885I 0
u = 1.59010 − 1.37686I
a = 0.284725 − 0.237330I
b = −0.215080 − 1.307140I
−6.70744 + 0.15885I 0
u = −1.22614 + 1.75825I
a = −0.361524 − 0.027269I
b = −0.215080 + 1.307140I
−5.29004 − 3.06716I 0
u = −1.22614 − 1.75825I
a = −0.361524 + 0.027269I
b = −0.215080 − 1.307140I
−5.29004 + 3.06716I 0
u = 1.87268 + 1.28842I
a = 0.130755 + 0.250899I
b = −0.215080 + 1.307140I
−13.6617 − 9.4373I 0
u = 1.87268 − 1.28842I
a = 0.130755 − 0.250899I
b = −0.215080 − 1.307140I
−13.6617 + 9.4373I 0
u = −1.81338 + 1.39020I
a = 0.182451 − 0.219442I
b = −0.215080 − 1.307140I
−6.70744 + 5.49740I 0
u = −1.81338 − 1.39020I
a = 0.182451 + 0.219442I
b = −0.215080 + 1.307140I
−6.70744 − 5.49740I 0
21
III. I
u
3
= h−3.70 × 10
18
u
30
+ 9.96 × 10
17
u
29
+ · · · + 5.38 × 10
18
b − 7.23 ×
10
18
, a + 1, u
31
+ 7u
29
+ · · · + 5u − 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−1
0.687066u
30
− 0.184899u
29
+ ··· − 2.25076u + 1.34346
a
4
=
1
u
2
a
2
=
−0.687066u
30
+ 0.184899u
29
+ ··· + 2.25076u − 2.34346
1.01508u
30
− 0.316079u
29
+ ··· − 3.86233u + 1.52836
a
10
=
−0.273150u
30
− 0.129280u
29
+ ··· + 1.26711u − 0.892808
0.199034u
30
+ 0.563048u
29
+ ··· + 1.19801u + 0.0764620
a
8
=
−u
−0.184899u
30
− 0.328012u
29
+ ··· − 1.09187u + 0.687066
a
3
=
−0.328012u
30
+ 0.131179u
29
+ ··· + 1.61156u + 0.815101
0.173470u
30
− 0.176685u
29
+ ··· − 0.510970u − 0.141970
a
12
=
−0.687066u
30
+ 0.184899u
29
+ ··· + 2.25076u − 2.34346
0.687066u
30
− 0.184899u
29
+ ··· − 2.25076u + 1.34346
a
6
=
0.861767u
30
+ 0.195690u
29
+ ··· + 2.88366u + 2.22327
−0.174701u
30
− 0.380589u
29
+ ··· − 5.13442u + 0.120186
a
11
=
−0.917103u
30
+ 0.102366u
29
+ ··· + 2.22586u − 3.15296
0.549174u
30
− 0.178950u
29
+ ··· − 2.95367u + 1.59945
a
7
=
0.976443u
30
− 0.107241u
29
+ ··· − 0.0258383u + 2.19375
−0.429849u
30
+ 0.244613u
29
+ ··· + 0.837359u − 0.645111
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
796042686367841452
1076924491171495217
u
30
−
124597577081519071
1076924491171495217
u
29
+ ··· −
4509135594763592556
1076924491171495217
u −
8475131366304178091
1076924491171495217
22
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
31
− 17u
30
+ ··· − 675u + 125
c
2
, c
11
u
31
+ u
30
+ ··· + 5u + 1
c
3
, c
9
u
31
− u
30
+ ··· + 9u − 5
c
4
, c
8
u
31
+ 7u
29
+ ··· + 5u − 1
c
5
u
31
+ 3u
30
+ ··· − 11u − 1
c
6
, c
7
u
31
+ 7u
30
+ ··· − 7u − 1
c
10
u
31
− 7u
30
+ ··· − 7u + 1
c
12
u
31
− 3u
30
+ ··· − 11u + 1
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
31
− 3y
30
+ ··· + 66875y −15625
c
2
, c
11
y
31
+ 15y
30
+ ··· − 19y −1
c
3
, c
9
y
31
− 21y
30
+ ··· + 271y −25
c
4
, c
8
y
31
+ 14y
30
+ ··· + 29y −1
c
5
, c
12
y
31
+ 29y
30
+ ··· − 49y −1
c
6
, c
7
, c
10
y
31
− 33y
30
+ ··· + 17y −1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.648286 + 0.754489I
a = −1.00000
b = −1.174450 + 0.065990I
−1.06960 − 2.52573I −0.97289 + 4.21055I
u = −0.648286 − 0.754489I
a = −1.00000
b = −1.174450 − 0.065990I
−1.06960 + 2.52573I −0.97289 − 4.21055I
u = −0.717224 + 0.669825I
a = −1.00000
b = 0.257971 + 1.326830I
−5.78468 + 5.10779I −3.55866 − 4.23910I
u = −0.717224 − 0.669825I
a = −1.00000
b = 0.257971 − 1.326830I
−5.78468 − 5.10779I −3.55866 + 4.23910I
u = 0.567412 + 0.860698I
a = −1.00000
b = −0.134089 + 0.259707I
−5.81103 + 5.95428I −7.31020 − 6.20707I
u = 0.567412 − 0.860698I
a = −1.00000
b = −0.134089 − 0.259707I
−5.81103 − 5.95428I −7.31020 + 6.20707I
u = 0.834900 + 0.622023I
a = −1.00000
b = 0.273119 − 1.277200I
−12.7318 − 8.6679I −6.18088 + 3.52393I
u = 0.834900 − 0.622023I
a = −1.00000
b = 0.273119 + 1.277200I
−12.7318 + 8.6679I −6.18088 − 3.52393I
u = −0.511967 + 0.908761I
a = −1.00000
b = −0.098130 + 0.143148I
−0.40464 − 3.63769I −2.30641 + 7.43260I
u = −0.511967 − 0.908761I
a = −1.00000
b = −0.098130 − 0.143148I
−0.40464 + 3.63769I −2.30641 − 7.43260I
25
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.158913 + 0.892932I
a = −1.00000
b = −0.551228 + 1.110630I
−10.39450 + 2.88170I −11.38413 − 2.82306I
u = 0.158913 − 0.892932I
a = −1.00000
b = −0.551228 − 1.110630I
−10.39450 − 2.88170I −11.38413 + 2.82306I
u = 0.316469 + 0.849402I
a = −1.00000
b = −0.050130 − 1.355780I
−5.24998 − 0.51758I −4.94219 − 0.74761I
u = 0.316469 − 0.849402I
a = −1.00000
b = −0.050130 + 1.355780I
−5.24998 + 0.51758I −4.94219 + 0.74761I
u = 0.454331 + 1.060200I
a = −1.00000
b = 0.207848 − 0.647004I
−2.85285 − 0.21028I −11.80650 − 3.51427I
u = 0.454331 − 1.060200I
a = −1.00000
b = 0.207848 + 0.647004I
−2.85285 + 0.21028I −11.80650 + 3.51427I
u = −0.324813 + 1.152260I
a = −1.00000
b = −0.121376 + 1.089130I
−11.90770 − 0.54038I −10.95038 + 0.86090I
u = −0.324813 − 1.152260I
a = −1.00000
b = −0.121376 − 1.089130I
−11.90770 + 0.54038I −10.95038 − 0.86090I
u = 0.825735 + 0.973090I
a = −1.00000
b = −0.909947 − 0.952241I
−2.37016 + 7.01319I −8.52027 − 7.50036I
u = 0.825735 − 0.973090I
a = −1.00000
b = −0.909947 + 0.952241I
−2.37016 − 7.01319I −8.52027 + 7.50036I
26
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.374801 + 0.583539I
a = −1.00000
b = 0.16632 − 1.61798I
−5.28116 − 0.41038I −5.11571 − 1.35653I
u = 0.374801 − 0.583539I
a = −1.00000
b = 0.16632 + 1.61798I
−5.28116 + 0.41038I −5.11571 + 1.35653I
u = −0.530463 + 0.248412I
a = −1.00000
b = 0.70417 + 1.37721I
−11.44770 − 4.22530I −6.25593 + 2.96955I
u = −0.530463 − 0.248412I
a = −1.00000
b = 0.70417 − 1.37721I
−11.44770 + 4.22530I −6.25593 − 2.96955I
u = −0.83545 + 1.30181I
a = −1.00000
b = −0.248311 + 1.201430I
−11.50640 − 6.10842I −8.18083 + 3.25324I
u = −0.83545 − 1.30181I
a = −1.00000
b = −0.248311 − 1.201430I
−11.50640 + 6.10842I −8.18083 − 3.25324I
u = 0.90195 + 1.26479I
a = −1.00000
b = −0.230613 − 1.306900I
−5.51611 + 6.41525I −0.53175 − 3.38483I
u = 0.90195 − 1.26479I
a = −1.00000
b = −0.230613 + 1.306900I
−5.51611 − 6.41525I −0.53175 + 3.38483I
u = −0.94996 + 1.26460I
a = −1.00000
b = −0.141674 + 1.331080I
−9.75201 − 7.20993I −8.34427 + 4.81835I
u = −0.94996 − 1.26460I
a = −1.00000
b = −0.141674 − 1.331080I
−9.75201 + 7.20993I −8.34427 − 4.81835I
27
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.167328
a = −1.00000
b = 1.10105
0.188948 −9.27800
28
IV. I
u
4
= h4u
5
+ 6u
4
− u
3
− 20u
2
+ 7b + 2u + 1, 2u
5
+ 3u
4
+ 3u
3
− 3u
2
+
7a + u − 17, u
6
+ u
5
− u
4
− 4u
3
+ 3u
2
− 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
−
2
7
u
5
−
3
7
u
4
+ ··· −
1
7
u +
17
7
−
4
7
u
5
−
6
7
u
4
+ ··· −
2
7
u −
1
7
a
4
=
1
u
2
a
2
=
−
2
7
u
5
−
3
7
u
4
+ ··· −
1
7
u +
17
7
−
4
7
u
5
−
6
7
u
4
+ ··· −
2
7
u −
1
7
a
10
=
3
7
u
5
+
15
7
u
4
+ ··· −
44
7
u +
6
7
6
7
u
5
+
9
7
u
4
+ ··· +
10
7
u +
12
7
a
8
=
3
7
u
5
+
15
7
u
4
+ ··· −
44
7
u +
6
7
6
7
u
5
+
9
7
u
4
+ ··· +
10
7
u +
12
7
a
3
=
−
12
7
u
5
−
18
7
u
4
+ ··· −
6
7
u +
4
7
−
3
7
u
5
−
1
7
u
4
+ ··· −
12
7
u −
6
7
a
12
=
2
7
u
5
+
3
7
u
4
+ ··· +
1
7
u +
18
7
−
4
7
u
5
−
6
7
u
4
+ ··· −
2
7
u −
1
7
a
6
=
9
7
u
5
+
17
7
u
4
+ ··· −
6
7
u +
4
7
3
7
u
5
+
1
7
u
4
+ ··· +
12
7
u +
6
7
a
11
=
−
9
7
u
5
−
17
7
u
4
+ ··· +
6
7
u −
4
7
−
3
7
u
5
−
1
7
u
4
+ ··· −
12
7
u −
6
7
a
7
=
12
7
u
5
+
32
7
u
4
+ ··· −
50
7
u +
10
7
9
7
u
5
+
10
7
u
4
+ ··· +
22
7
u +
18
7
(ii) Obstruction class = 1
(iii) Cusp Shapes =
4
7
u
5
+
20
7
u
4
+
20
7
u
3
−
20
7
u
2
−
40
7
u +
43
7
29
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
6
c
2
, c
11
(u
3
− u
2
+ 1)
2
c
3
, c
4
, c
8
c
9
u
6
+ u
5
− u
4
− 4u
3
+ 3u
2
− 1
c
5
(u
3
− u
2
+ 2u − 1)
2
c
6
, c
7
(u − 1)
6
c
10
(u + 1)
6
c
12
(u
3
+ u
2
+ 2u + 1)
2
30
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
6
c
2
, c
11
(y
3
− y
2
+ 2y −1)
2
c
3
, c
4
, c
8
c
9
y
6
− 3y
5
+ 15y
4
− 24y
3
+ 11y
2
− 6y + 1
c
5
, c
12
(y
3
+ 3y
2
+ 2y −1)
2
c
6
, c
7
, c
10
(y −1)
6
31
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.22142
a = 0.381966
b = 0.569840
−0.531480 8.01950
u = 0.542287 + 0.460350I
a = 2.61803
b = 0.215080 + 1.307140I
−4.66906 + 2.82812I 1.49024 − 2.97945I
u = 0.542287 − 0.460350I
a = 2.61803
b = 0.215080 − 1.307140I
−4.66906 − 2.82812I 1.49024 + 2.97945I
u = −0.466540
a = 2.61803
b = 0.569840
−0.531480 8.01950
u = −1.41973 + 1.20521I
a = 0.381966
b = 0.215080 − 1.307140I
−4.66906 − 2.82812I 1.49024 + 2.97945I
u = −1.41973 − 1.20521I
a = 0.381966
b = 0.215080 + 1.307140I
−4.66906 + 2.82812I 1.49024 − 2.97945I
32
V. I
u
5
= h−u
2
+ b, a − 1, u
3
− u
2
+ 1i
(i) Arc colorings
a
5
=
1
0
a
9
=
0
u
a
1
=
1
u
2
a
4
=
1
u
2
a
2
=
1
u
2
a
10
=
−u
−u
2
+ u + 1
a
8
=
−u
−u
2
+ u + 1
a
3
=
u
2
+ 1
u
2
− u − 1
a
12
=
−u
2
+ 1
u
2
a
6
=
−u
−u
2
+ u + 1
a
11
=
u
u
2
− u − 1
a
7
=
−u
−u
2
+ u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u + 6
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
7
c
10
u
3
c
2
, c
3
, c
4
c
8
, c
9
, c
11
u
3
+ u
2
− 1
c
5
, c
12
u
3
− u
2
+ 2u − 1
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
, c
7
c
10
y
3
c
2
, c
3
, c
4
c
8
, c
9
, c
11
y
3
− y
2
+ 2y −1
c
5
, c
12
y
3
+ 3y
2
+ 2y −1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877439 + 0.744862I
a = 1.00000
b = 0.215080 + 1.307140I
−3.02413 + 2.82812I 2.49024 − 2.97945I
u = 0.877439 − 0.744862I
a = 1.00000
b = 0.215080 − 1.307140I
−3.02413 − 2.82812I 2.49024 + 2.97945I
u = −0.754878
a = 1.00000
b = 0.569840
1.11345 9.01950
36
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
9
(u
15
+ 7u
14
+ ··· + 3u + 2)
6
(u
31
− 17u
30
+ ··· − 675u + 125)
· (u
45
− 38u
44
+ ··· + 6130u − 359)
c
2
, c
11
((u
3
− u
2
+ 1)
2
)(u
3
+ u
2
− 1)(u
31
+ u
30
+ ··· + 5u + 1)
· (u
45
+ 10u
43
+ ··· + 20u + 1)
· (u
90
− 3u
89
+ ··· + 368583436u + 40813519)
c
3
, c
9
(u
3
+ u
2
− 1)(u
6
+ u
5
+ ··· + 3u
2
− 1)(u
31
− u
30
+ ··· + 9u − 5)
· (u
45
− 2u
44
+ ··· − 40u − 29)
· (u
90
− 30u
88
+ ··· − 482802778u + 510990799)
c
4
, c
8
(u
3
+ u
2
− 1)(u
6
+ u
5
+ ··· + 3u
2
− 1)(u
31
+ 7u
29
+ ··· + 5u − 1)
· (u
45
− u
44
+ ··· − u
2
− 1)(u
90
+ 16u
88
+ ··· − 27804u + 13223)
c
5
((u
3
− u
2
+ 2u − 1)
3
)(u
3
+ u
2
+ 2u + 1)
30
(u
31
+ 3u
30
+ ··· − 11u − 1)
· (u
45
− 31u
44
+ ··· − 294912u + 16384)
c
6
, c
7
u
3
(u − 1)
6
(u
15
− 2u
14
+ ··· + 2u − 1)
6
(u
31
+ 7u
30
+ ··· − 7u − 1)
· (u
45
+ 14u
44
+ ··· − 2718u + 359)
c
10
u
3
(u + 1)
6
(u
15
− 2u
14
+ ··· + 2u − 1)
6
(u
31
− 7u
30
+ ··· − 7u + 1)
· (u
45
+ 14u
44
+ ··· − 2718u + 359)
c
12
(u
3
− u
2
+ 2u − 1)(u
3
+ u
2
+ 2u + 1)
32
(u
31
− 3u
30
+ ··· − 11u + 1)
· (u
45
− 31u
44
+ ··· − 294912u + 16384)
37
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
9
(y
15
− 3y
14
+ ··· + 37y −4)
6
(y
31
− 3y
30
+ ··· + 66875y −15625)
· (y
45
− 6y
44
+ ··· + 2626096y −128881)
c
2
, c
11
((y
3
− y
2
+ 2y −1)
3
)(y
31
+ 15y
30
+ ··· − 19y −1)
· (y
45
+ 20y
44
+ ··· + 102y −1)
· (y
90
+ 49y
89
+ ··· + 40419511289995220y + 1665743333163361)
c
3
, c
9
(y
3
− y
2
+ 2y −1)(y
6
− 3y
5
+ 15y
4
− 24y
3
+ 11y
2
− 6y + 1)
· (y
31
− 21y
30
+ ··· + 271y −25)(y
45
− 32y
44
+ ··· + 8212y −841)
· (y
90
− 60y
89
+ ··· − 8685965663911962662y + 261111596662658401)
c
4
, c
8
(y
3
− y
2
+ 2y −1)(y
6
− 3y
5
+ 15y
4
− 24y
3
+ 11y
2
− 6y + 1)
· (y
31
+ 14y
30
+ ··· + 29y −1)(y
45
+ 7y
44
+ ··· − 2y −1)
· (y
90
+ 32y
89
+ ··· + 10436735834y + 174847729)
c
5
, c
12
((y
3
+ 3y
2
+ 2y −1)
33
)(y
31
+ 29y
30
+ ··· − 49y −1)
· (y
45
+ 29y
44
+ ··· + 2818572288y −268435456)
c
6
, c
7
, c
10
y
3
(y −1)
6
(y
15
− 16y
14
+ ··· + 10y −1)
6
· (y
31
− 33y
30
+ ··· + 17y −1)
· (y
45
− 48y
44
+ ··· + 8215378y −128881)
38
