12a
0991
(K12a
0991
)
A knot diagram
1
Linearized knot diagam
4 6 11 1 8 3 10 12 5 7 2 9
Solving Sequence
3,11 4,7
6 2 12 1 10 8 5 9
c
3
c
6
c
2
c
11
c
1
c
10
c
7
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h57717367134771u
22
+ 147428293136959u
21
+ ··· + 317082965674325b + 1212919831670806,
− 6.90652 × 10
14
u
22
− 9.73069 × 10
14
u
21
+ ··· + 6.02458 × 10
15
a − 1.57925 × 10
16
,
u
23
+ 3u
22
+ ··· + 23u + 19i
I
u
2
= h−1.43591 × 10
880
u
123
+ 8.72577 × 10
878
u
122
+ ··· + 1.49298 × 10
884
b − 1.12674 × 10
886
,
− 1.05862 × 10
888
u
123
+ 7.59549 × 10
887
u
122
+ ··· + 1.40244 × 10
891
a − 1.54736 × 10
895
,
u
124
− 28u
122
+ ··· + 37001253u + 9393563i
I
u
3
= hu
4
− 2u
3
+ 2u
2
+ b, u
4
− 2u
3
+ u
2
+ a + 2u − 1, u
5
− 3u
4
+ 4u
3
− u
2
− u + 1i
I
u
4
= h3.38809 × 10
57
u
37
+ 1.63783 × 10
58
u
36
+ ··· + 1.71599 × 10
58
b + 1.67567 × 10
58
,
− 6.22130 × 10
57
u
37
− 2.90017 × 10
58
u
36
+ ··· + 1.71599 × 10
58
a + 2.01014 × 10
58
, u
38
+ 5u
37
+ ··· + 3u + 1i
* 4 irreducible components of dim
C
= 0, with total 190 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
= h5.77 × 10
13
u
22
+ 1.47 × 10
14
u
21
+ · · · + 3.17 × 10
14
b + 1.21 ×
10
15
, −6.91 × 10
14
u
22
− 9.73 × 10
14
u
21
+ · · · + 6.02 × 10
15
a − 1.58 ×
10
16
, u
23
+ 3u
22
+ · · · + 23u + 19i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
0.114639u
22
+ 0.161517u
21
+ ··· + 0.233505u + 2.62135
−0.182026u
22
− 0.464952u
21
+ ··· − 0.670669u − 3.82524
a
6
=
0.296665u
22
+ 0.626468u
21
+ ··· + 0.904173u + 6.44659
−0.182026u
22
− 0.464952u
21
+ ··· − 0.670669u − 3.82524
a
2
=
0.177816u
22
+ 0.437375u
21
+ ··· + 1.33780u + 3.32029
0.109266u
22
+ 0.0722014u
21
+ ··· + 1.18417u + 0.352745
a
12
=
0.297043u
22
+ 0.397846u
21
+ ··· + 2.63301u + 2.54854
−0.279180u
22
− 0.505280u
21
+ ··· − 2.85942u − 5.43579
a
1
=
0.360217u
22
+ 0.803269u
21
+ ··· + 1.35315u + 5.49844
−0.115359u
22
− 0.359386u
21
+ ··· + 0.479691u − 3.09211
a
10
=
−0.138170u
22
− 0.231903u
21
+ ··· − 2.84326u − 4.43308
−0.351670u
22
− 0.533545u
21
+ ··· − 2.92986u − 5.45456
a
8
=
−0.107726u
22
− 0.111365u
21
+ ··· − 0.581699u − 0.814060
0.107088u
22
+ 0.280121u
21
+ ··· + 2.38569u + 4.19317
a
5
=
−0.0245807u
22
+ 0.151775u
21
+ ··· − 5.03652u + 0.702173
0.576947u
22
+ 1.14786u
21
+ ··· + 3.46469u + 6.91005
a
9
=
−0.363687u
22
− 0.514114u
21
+ ··· − 4.11079u − 4.90011
0.231313u
22
+ 0.597069u
21
+ ··· + 3.42987u + 5.50743
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −
81766888022974
317082965674325
u
22
−
248859598527326
317082965674325
u
21
+ ··· +
329686079723918
317082965674325
u −
784569176377574
317082965674325
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
7
c
10
u
23
− u
22
+ ··· − 7u − 1
c
2
, c
6
, c
8
c
12
u
23
− u
22
+ ··· + 12u − 4
c
3
, c
9
u
23
− 3u
22
+ ··· + 23u − 19
c
5
, c
11
u
23
+ u
22
+ ··· + 31u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
7
c
10
y
23
+ 27y
22
+ ··· + 25y −1
c
2
, c
6
, c
8
c
12
y
23
− 15y
22
+ ··· + 96y −16
c
3
, c
9
y
23
− 17y
22
+ ··· + 301y −361
c
5
, c
11
y
23
+ 11y
22
+ ··· + 957y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.918917 + 0.525926I
a = −0.588465 + 0.739338I
b = 1.177530 + 0.446851I
2.51017 + 8.14058I 6.64567 − 9.11727I
u = 0.918917 − 0.525926I
a = −0.588465 − 0.739338I
b = 1.177530 − 0.446851I
2.51017 − 8.14058I 6.64567 + 9.11727I
u = 0.773342 + 0.494667I
a = −1.04701 − 1.59683I
b = −0.957225 − 0.497796I
9.76931 + 4.11749I 5.17924 − 6.62141I
u = 0.773342 − 0.494667I
a = −1.04701 + 1.59683I
b = −0.957225 + 0.497796I
9.76931 − 4.11749I 5.17924 + 6.62141I
u = −0.871157
a = 0.623723
b = −0.717781
1.42427 5.58020
u = 1.054960 + 0.459775I
a = 0.215920 − 0.029509I
b = −1.042380 + 0.452100I
2.25624 − 3.72277I 3.77679 + 4.53205I
u = 1.054960 − 0.459775I
a = 0.215920 + 0.029509I
b = −1.042380 − 0.452100I
2.25624 + 3.72277I 3.77679 − 4.53205I
u = −1.197360 + 0.107009I
a = 0.186498 − 1.278020I
b = 1.223500 − 0.651345I
13.7533 − 3.8768I 14.9082 + 3.5373I
u = −1.197360 − 0.107009I
a = 0.186498 + 1.278020I
b = 1.223500 + 0.651345I
13.7533 + 3.8768I 14.9082 − 3.5373I
u = 0.271747 + 0.746918I
a = 0.385059 − 0.712732I
b = 0.402904 − 0.603471I
−2.39867 − 0.27896I −3.60170 + 1.81372I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271747 − 0.746918I
a = 0.385059 + 0.712732I
b = 0.402904 + 0.603471I
−2.39867 + 0.27896I −3.60170 − 1.81372I
u = −1.189060 + 0.477242I
a = 0.268653 − 1.237180I
b = 1.152630 − 0.048406I
12.93090 − 1.19686I 14.2711 + 0.3658I
u = −1.189060 − 0.477242I
a = 0.268653 + 1.237180I
b = 1.152630 + 0.048406I
12.93090 + 1.19686I 14.2711 − 0.3658I
u = −1.203270 + 0.495710I
a = 0.175292 − 1.080310I
b = −0.066343 − 1.107590I
6.02936 − 6.98335I 8.21274 + 5.05079I
u = −1.203270 − 0.495710I
a = 0.175292 + 1.080310I
b = −0.066343 + 1.107590I
6.02936 + 6.98335I 8.21274 − 5.05079I
u = −0.211749 + 0.550582I
a = 1.008340 − 0.441111I
b = −0.357064 + 0.362726I
1.04800 − 1.12978I 8.64416 + 6.06289I
u = −0.211749 − 0.550582I
a = 1.008340 + 0.441111I
b = −0.357064 − 0.362726I
1.04800 + 1.12978I 8.64416 − 6.06289I
u = −0.41447 + 1.35905I
a = −0.698894 + 0.209343I
b = −1.220420 − 0.208268I
6.27657 + 2.79434I 13.30273 − 3.14397I
u = −0.41447 − 1.35905I
a = −0.698894 − 0.209343I
b = −1.220420 + 0.208268I
6.27657 − 2.79434I 13.30273 + 3.14397I
u = 1.73548 + 0.04257I
a = −0.126978 − 0.685204I
b = 0.971727 − 0.746612I
6.49002 − 5.81139I 9.27142 + 6.06710I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.73548 − 0.04257I
a = −0.126978 + 0.685204I
b = 0.971727 + 0.746612I
6.49002 + 5.81139I 9.27142 − 6.06710I
u = −1.60297 + 0.82134I
a = −0.142907 + 0.899405I
b = −1.42596 + 0.57620I
14.6447 − 19.3062I 11.5995 + 8.9972I
u = −1.60297 − 0.82134I
a = −0.142907 − 0.899405I
b = −1.42596 − 0.57620I
14.6447 + 19.3062I 11.5995 − 8.9972I
7
II. I
u
2
= h−1.44 × 10
880
u
123
+ 8.73 × 10
878
u
122
+ · · · + 1.49 × 10
884
b − 1.13 ×
10
886
, −1.06 × 10
888
u
123
+ 7.60 × 10
887
u
122
+ · · · + 1.40 × 10
891
a − 1.55 ×
10
895
, u
124
− 28u
122
+ · · · + 37001253u + 9393563i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
0.000754843u
123
− 0.000541592u
122
+ ··· + 27659.3u + 11033.4
0.0000961780u
123
− 5.84455 × 10
−6
u
122
+ ··· − 1187.04u + 75.4696
a
6
=
0.000658665u
123
− 0.000535748u
122
+ ··· + 28846.3u + 10957.9
0.0000961780u
123
− 5.84455 × 10
−6
u
122
+ ··· − 1187.04u + 75.4696
a
2
=
−0.000769260u
123
+ 0.000478016u
122
+ ··· − 24948.3u − 10481.1
−0.0000934100u
123
+ 0.0000559721u
122
+ ··· − 1937.68u − 853.277
a
12
=
−0.00286019u
123
+ 0.00209707u
122
+ ··· − 102095.u − 39638.9
0.000606344u
123
− 0.000421349u
122
+ ··· + 22961.5u + 9239.15
a
1
=
−0.00119794u
123
+ 0.000731324u
122
+ ··· − 37347.0u − 15824.6
0.0000980954u
123
− 0.0000512982u
122
+ ··· + 3408.16u + 1526.19
a
10
=
−0.00205809u
123
+ 0.00151971u
122
+ ··· − 72999.2u − 28236.8
0.000533988u
123
− 0.000385230u
122
+ ··· + 20585.5u + 8103.55
a
8
=
0.00179696u
123
− 0.00153781u
122
+ ··· + 64535.5u + 22832.9
−0.00121549u
123
+ 0.000954177u
122
+ ··· − 46498.2u − 17482.4
a
5
=
0.00114349u
123
− 0.000867960u
122
+ ··· + 37250.0u + 14109.5
−0.000621780u
123
+ 0.000410335u
122
+ ··· − 18252.1u − 7479.59
a
9
=
−0.00197358u
123
+ 0.00136446u
122
+ ··· − 71871.7u − 28676.8
0.000155176u
123
− 0.0000592743u
122
+ ··· + 5180.54u + 2527.54
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.00308181u
123
+ 0.00229861u
122
+ ··· − 103573.u − 40396.6
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
7
c
10
u
124
− 8u
123
+ ··· − 19679u − 1829
c
2
, c
6
, c
8
c
12
u
124
− 3u
123
+ ··· + 13060u − 7061
c
3
, c
9
u
124
− 28u
122
+ ··· − 37001253u + 9393563
c
5
, c
11
u
124
+ 12u
123
+ ··· − 23079u + 2117
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
7
c
10
y
124
+ 104y
123
+ ··· − 374690495y + 3345241
c
2
, c
6
, c
8
c
12
y
124
− 85y
123
+ ··· − 834961334y + 49857721
c
3
, c
9
y
124
− 56y
123
+ ··· − 7183023354678805y + 88239025834969
c
5
, c
11
y
124
− 36y
123
+ ··· + 1058022751y + 4481689
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.832257 + 0.559566I
a = −0.78785 + 1.31337I
b = −1.50165 + 0.80491I
11.54920 − 3.29623I 0
u = −0.832257 − 0.559566I
a = −0.78785 − 1.31337I
b = −1.50165 − 0.80491I
11.54920 + 3.29623I 0
u = −0.991089 + 0.153659I
a = −0.169531 + 1.156440I
b = −0.151031 + 1.398850I
2.48023 − 1.03604I 0
u = −0.991089 − 0.153659I
a = −0.169531 − 1.156440I
b = −0.151031 − 1.398850I
2.48023 + 1.03604I 0
u = 0.898023 + 0.383481I
a = 0.934050 + 0.338258I
b = −0.975376 + 0.111434I
1.73213 − 0.66883I 0
u = 0.898023 − 0.383481I
a = 0.934050 − 0.338258I
b = −0.975376 − 0.111434I
1.73213 + 0.66883I 0
u = −0.929923 + 0.254749I
a = 0.17250 + 1.73396I
b = −1.46751 + 0.15284I
14.7335 − 8.0221I 0
u = −0.929923 − 0.254749I
a = 0.17250 − 1.73396I
b = −1.46751 − 0.15284I
14.7335 + 8.0221I 0
u = −1.031240 + 0.210849I
a = 0.271925 − 1.250820I
b = 1.58994 − 0.52839I
15.1848 + 6.0579I 0
u = −1.031240 − 0.210849I
a = 0.271925 + 1.250820I
b = 1.58994 + 0.52839I
15.1848 − 6.0579I 0
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.897036 + 0.586814I
a = −0.91039 − 1.09007I
b = −0.453265 − 0.603763I
9.66429 + 4.09208I 0
u = 0.897036 − 0.586814I
a = −0.91039 + 1.09007I
b = −0.453265 + 0.603763I
9.66429 − 4.09208I 0
u = −0.920705 + 0.549630I
a = 1.068840 + 0.794345I
b = −1.226030 + 0.134089I
9.85131 + 0.58116I 0
u = −0.920705 − 0.549630I
a = 1.068840 − 0.794345I
b = −1.226030 − 0.134089I
9.85131 − 0.58116I 0
u = −1.060230 + 0.182661I
a = −1.034840 + 0.100779I
b = 1.286310 − 0.336100I
6.30482 − 3.83713I 0
u = −1.060230 − 0.182661I
a = −1.034840 − 0.100779I
b = 1.286310 + 0.336100I
6.30482 + 3.83713I 0
u = 0.828661 + 0.396010I
a = −0.55923 − 1.82969I
b = −1.245570 − 0.396965I
9.66429 + 4.09208I 0
u = 0.828661 − 0.396010I
a = −0.55923 + 1.82969I
b = −1.245570 + 0.396965I
9.66429 − 4.09208I 0
u = 0.591720 + 0.675350I
a = 0.941129 − 0.041225I
b = 0.027565 − 0.660549I
2.35447 + 0.13282I 0
u = 0.591720 − 0.675350I
a = 0.941129 + 0.041225I
b = 0.027565 + 0.660549I
2.35447 − 0.13282I 0
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.761610 + 0.474972I
a = −0.779793 − 0.961860I
b = 1.035030 − 0.335104I
−0.49565 − 3.43639I 0
u = −0.761610 − 0.474972I
a = −0.779793 + 0.961860I
b = 1.035030 + 0.335104I
−0.49565 + 3.43639I 0
u = −0.853877 + 0.242911I
a = −0.20805 + 1.49543I
b = 0.045866 + 1.387410I
3.86911 − 6.05067I 0
u = −0.853877 − 0.242911I
a = −0.20805 − 1.49543I
b = 0.045866 − 1.387410I
3.86911 + 6.05067I 0
u = −0.378616 + 0.799354I
a = 1.026480 − 0.036530I
b = 0.323754 + 0.441607I
1.73213 − 0.66883I 0
u = −0.378616 − 0.799354I
a = 1.026480 + 0.036530I
b = 0.323754 − 0.441607I
1.73213 + 0.66883I 0
u = −0.873073 + 0.016053I
a = 0.623181 + 0.019412I
b = −0.719342 + 0.035275I
1.42426 0
u = −0.873073 − 0.016053I
a = 0.623181 − 0.019412I
b = −0.719342 − 0.035275I
1.42426 0
u = 1.100840 + 0.251619I
a = 0.239334 + 1.247970I
b = 1.40521 + 0.43298I
10.89050 − 1.43238I 0
u = 1.100840 − 0.251619I
a = 0.239334 − 1.247970I
b = 1.40521 − 0.43298I
10.89050 + 1.43238I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.863941 + 0.098745I
a = −0.065027 − 1.127290I
b = −0.526831 − 1.287540I
2.80036 + 3.42863I 0
u = 0.863941 − 0.098745I
a = −0.065027 + 1.127290I
b = −0.526831 + 1.287540I
2.80036 − 3.42863I 0
u = 0.842414 + 0.194962I
a = −0.04701 − 1.43734I
b = 0.047595 − 1.090590I
1.03606 + 2.94499I 0
u = 0.842414 − 0.194962I
a = −0.04701 + 1.43734I
b = 0.047595 + 1.090590I
1.03606 − 2.94499I 0
u = −1.100520 + 0.307549I
a = 0.583930 − 0.874030I
b = −0.583330 − 0.133203I
4.49764 + 3.55654I 0
u = −1.100520 − 0.307549I
a = 0.583930 + 0.874030I
b = −0.583330 + 0.133203I
4.49764 − 3.55654I 0
u = 1.159350 + 0.196439I
a = −0.678596 − 0.156815I
b = 1.169790 + 0.264504I
4.49764 + 3.55654I 0
u = 1.159350 − 0.196439I
a = −0.678596 + 0.156815I
b = 1.169790 − 0.264504I
4.49764 − 3.55654I 0
u = 0.827945 + 0.838917I
a = −0.328047 + 0.701006I
b = 0.321299 + 0.492971I
5.37387 − 2.54528I 0
u = 0.827945 − 0.838917I
a = −0.328047 − 0.701006I
b = 0.321299 − 0.492971I
5.37387 + 2.54528I 0
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.426039 + 0.695884I
a = 0.265031 + 0.619278I
b = 0.208538 + 0.852829I
−0.49565 − 3.43639I 0
u = −0.426039 − 0.695884I
a = 0.265031 − 0.619278I
b = 0.208538 − 0.852829I
−0.49565 + 3.43639I 0
u = 0.673227 + 0.448450I
a = 0.30754 + 1.72391I
b = 1.142750 − 0.092130I
4.72714 − 2.47544I 0
u = 0.673227 − 0.448450I
a = 0.30754 − 1.72391I
b = 1.142750 + 0.092130I
4.72714 + 2.47544I 0
u = −0.777970 + 0.911853I
a = −0.333951 − 0.593460I
b = −0.185475 − 0.437289I
1.03606 − 2.94499I 0
u = −0.777970 − 0.911853I
a = −0.333951 + 0.593460I
b = −0.185475 + 0.437289I
1.03606 + 2.94499I 0
u = 0.777489
a = −1.74454
b = 1.17395
5.52857 0
u = 0.832394 + 0.895367I
a = −0.387083 + 0.564279I
b = −0.173857 + 0.721043I
5.27011 + 8.68957I 0
u = 0.832394 − 0.895367I
a = −0.387083 − 0.564279I
b = −0.173857 − 0.721043I
5.27011 − 8.68957I 0
u = 1.157570 + 0.478481I
a = 0.169523 + 1.120890I
b = 0.004007 + 1.271680I
10.0846 + 12.8687I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.157570 − 0.478481I
a = 0.169523 − 1.120890I
b = 0.004007 − 1.271680I
10.0846 − 12.8687I 0
u = −1.239930 + 0.197630I
a = 0.099971 + 0.900563I
b = −0.842102 + 0.645976I
4.38491 − 3.32315I 0
u = −1.239930 − 0.197630I
a = 0.099971 − 0.900563I
b = −0.842102 − 0.645976I
4.38491 + 3.32315I 0
u = −0.657674 + 1.073390I
a = 0.752991 − 0.858738I
b = 1.072340 − 0.138901I
2.74503 − 3.72225I 0
u = −0.657674 − 1.073390I
a = 0.752991 + 0.858738I
b = 1.072340 + 0.138901I
2.74503 + 3.72225I 0
u = 0.733914
a = 0.120487
b = −1.40350
5.52857 0
u = 1.182510 + 0.452565I
a = −0.190383 − 1.066910I
b = −1.48441 − 0.65466I
6.84626 + 6.36165I 0
u = 1.182510 − 0.452565I
a = −0.190383 + 1.066910I
b = −1.48441 + 0.65466I
6.84626 − 6.36165I 0
u = 0.447520 + 1.187290I
a = −0.956824 + 0.107479I
b = 0.508576 + 0.294345I
7.69733 − 7.68655I 0
u = 0.447520 − 1.187290I
a = −0.956824 − 0.107479I
b = 0.508576 − 0.294345I
7.69733 + 7.68655I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.040090 + 0.741880I
a = 0.753011 − 0.972945I
b = −1.144830 − 0.301464I
3.86911 + 6.05067I 0
u = 1.040090 − 0.741880I
a = 0.753011 + 0.972945I
b = −1.144830 + 0.301464I
3.86911 − 6.05067I 0
u = −1.110730 + 0.636557I
a = 0.773525 + 0.806396I
b = −1.211970 + 0.379843I
8.5013 − 12.7920I 0
u = −1.110730 − 0.636557I
a = 0.773525 − 0.806396I
b = −1.211970 − 0.379843I
8.5013 + 12.7920I 0
u = −0.355795 + 0.607849I
a = −0.342355 + 0.195247I
b = −0.364582 + 0.557841I
0.46113 − 1.83615I 0
u = −0.355795 − 0.607849I
a = −0.342355 − 0.195247I
b = −0.364582 − 0.557841I
0.46113 + 1.83615I 0
u = −0.693140 + 0.037404I
a = 1.63746 + 3.03289I
b = −1.131760 + 0.001075I
11.54920 + 3.29623I 0
u = −0.693140 − 0.037404I
a = 1.63746 − 3.03289I
b = −1.131760 − 0.001075I
11.54920 − 3.29623I 0
u = 0.560857 + 0.407735I
a = −0.128777 − 0.907615I
b = −0.506647 − 1.007690I
2.74503 + 3.72225I 0
u = 0.560857 − 0.407735I
a = −0.128777 + 0.907615I
b = −0.506647 + 1.007690I
2.74503 − 3.72225I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.194730 + 0.551815I
a = 0.244343 + 1.061740I
b = 0.108657 + 0.843813I
10.89050 + 1.43238I 0
u = 1.194730 − 0.551815I
a = 0.244343 − 1.061740I
b = 0.108657 − 0.843813I
10.89050 − 1.43238I 0
u = 1.038880 + 0.815458I
a = −0.582293 − 0.815995I
b = −1.55260 − 0.36720I
9.85131 + 0.58116I 0
u = 1.038880 − 0.815458I
a = −0.582293 + 0.815995I
b = −1.55260 + 0.36720I
9.85131 − 0.58116I 0
u = 1.252430 + 0.446639I
a = 0.272226 + 1.193810I
b = 0.945849 + 0.240808I
11.6961 0
u = 1.252430 − 0.446639I
a = 0.272226 − 1.193810I
b = 0.945849 − 0.240808I
11.6961 0
u = 1.365720 + 0.048836I
a = −0.387409 + 0.393167I
b = 1.005750 − 0.163454I
4.38491 − 3.32315I 0
u = 1.365720 − 0.048836I
a = −0.387409 − 0.393167I
b = 1.005750 + 0.163454I
4.38491 + 3.32315I 0
u = 0.395274 + 0.491472I
a = −0.804073 − 0.503520I
b = −0.883506 + 0.820261I
1.89421 − 4.17770I 0
u = 0.395274 − 0.491472I
a = −0.804073 + 0.503520I
b = −0.883506 − 0.820261I
1.89421 + 4.17770I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.312170 + 0.410372I
a = −0.383217 + 0.835548I
b = 0.353725 + 0.883043I
4.72300 0
u = −1.312170 − 0.410372I
a = −0.383217 − 0.835548I
b = 0.353725 − 0.883043I
4.72300 0
u = −0.609164 + 0.108178I
a = 0.212145 − 0.718470I
b = −1.152040 − 0.657544I
4.72714 + 2.47544I 0
u = −0.609164 − 0.108178I
a = 0.212145 + 0.718470I
b = −1.152040 + 0.657544I
4.72714 − 2.47544I 0
u = −1.260410 + 0.613656I
a = −0.142660 − 0.033471I
b = 1.336110 + 0.004509I
10.53070 − 6.37964I 0
u = −1.260410 − 0.613656I
a = −0.142660 + 0.033471I
b = 1.336110 − 0.004509I
10.53070 + 6.37964I 0
u = −1.264490 + 0.606359I
a = −0.265893 + 0.883404I
b = −1.35283 + 0.51966I
5.37387 − 2.54528I 0
u = −1.264490 − 0.606359I
a = −0.265893 − 0.883404I
b = −1.35283 − 0.51966I
5.37387 + 2.54528I 0
u = 1.21478 + 0.76000I
a = 0.233311 + 1.049020I
b = 1.381060 + 0.295614I
10.53070 + 6.37964I 0
u = 1.21478 − 0.76000I
a = 0.233311 − 1.049020I
b = 1.381060 − 0.295614I
10.53070 − 6.37964I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.03058 + 1.01783I
a = 0.254922 − 0.464416I
b = −0.587312 − 0.304164I
0.61204 − 1.27769I 0
u = −1.03058 − 1.01783I
a = 0.254922 + 0.464416I
b = −0.587312 + 0.304164I
0.61204 + 1.27769I 0
u = −1.30804 + 0.64514I
a = 0.056347 − 0.929272I
b = 1.56745 − 0.49417I
9.43262 − 9.57051I 0
u = −1.30804 − 0.64514I
a = 0.056347 + 0.929272I
b = 1.56745 + 0.49417I
9.43262 + 9.57051I 0
u = −0.67459 + 1.34386I
a = −0.050188 + 0.475727I
b = 0.935563 + 0.466105I
6.84626 + 6.36165I 0
u = −0.67459 − 1.34386I
a = −0.050188 − 0.475727I
b = 0.935563 − 0.466105I
6.84626 − 6.36165I 0
u = 0.32373 + 1.49855I
a = −0.434671 − 0.523857I
b = 0.750315 − 0.365919I
2.48023 + 1.03604I 0
u = 0.32373 − 1.49855I
a = −0.434671 + 0.523857I
b = 0.750315 + 0.365919I
2.48023 − 1.03604I 0
u = −1.32148 + 0.83303I
a = 0.273499 − 0.945568I
b = 1.36320 − 0.52292I
5.27011 − 8.68957I 0
u = −1.32148 − 0.83303I
a = 0.273499 + 0.945568I
b = 1.36320 + 0.52292I
5.27011 + 8.68957I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.414468 + 0.038270I
a = 1.18246 + 2.20318I
b = 0.202347 + 0.342219I
0.46113 − 1.83615I 3.74865 + 2.36410I
u = 0.414468 − 0.038270I
a = 1.18246 − 2.20318I
b = 0.202347 − 0.342219I
0.46113 + 1.83615I 3.74865 − 2.36410I
u = 1.46433 + 0.63376I
a = 0.109722 + 0.816471I
b = 1.45939 + 0.55383I
7.69733 + 7.68655I 0
u = 1.46433 − 0.63376I
a = 0.109722 − 0.816471I
b = 1.45939 − 0.55383I
7.69733 − 7.68655I 0
u = 1.33970 + 0.88288I
a = 0.324605 + 0.900983I
b = 1.44232 + 0.58014I
8.5013 + 12.7920I 0
u = 1.33970 − 0.88288I
a = 0.324605 − 0.900983I
b = 1.44232 − 0.58014I
8.5013 − 12.7920I 0
u = −0.271966 + 0.034484I
a = −0.55126 + 2.15413I
b = −0.539468 − 0.855139I
0.61204 + 1.27769I 3.02382 − 3.53768I
u = −0.271966 − 0.034484I
a = −0.55126 − 2.15413I
b = −0.539468 + 0.855139I
0.61204 − 1.27769I 3.02382 + 3.53768I
u = −0.33249 + 1.77179I
a = −0.651166 + 0.055095I
b = −1.066110 + 0.020085I
2.35447 + 0.13282I 0
u = −0.33249 − 1.77179I
a = −0.651166 − 0.055095I
b = −1.066110 − 0.020085I
2.35447 − 0.13282I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.68206 + 0.81033I
a = −0.110374 − 0.876797I
b = −1.35116 − 0.55320I
10.0846 + 12.8687I 0
u = 1.68206 − 0.81033I
a = −0.110374 + 0.876797I
b = −1.35116 + 0.55320I
10.0846 − 12.8687I 0
u = 1.92343 + 0.24866I
a = 0.227127 − 0.430513I
b = −1.018540 − 0.305792I
1.89421 + 4.17770I 0
u = 1.92343 − 0.24866I
a = 0.227127 + 0.430513I
b = −1.018540 + 0.305792I
1.89421 − 4.17770I 0
u = −1.76038 + 0.91486I
a = −0.103804 + 0.797328I
b = −1.309830 + 0.434572I
15.1848 − 6.0579I 0
u = −1.76038 − 0.91486I
a = −0.103804 − 0.797328I
b = −1.309830 − 0.434572I
15.1848 + 6.0579I 0
u = −1.42487 + 1.38597I
a = 0.157930 − 0.562764I
b = 0.962269 − 0.167441I
2.80036 − 3.42863I 0
u = −1.42487 − 1.38597I
a = 0.157930 + 0.562764I
b = 0.962269 + 0.167441I
2.80036 + 3.42863I 0
u = 0.93510 + 1.80883I
a = −0.584700 − 0.271456I
b = −1.125460 + 0.057620I
6.30482 − 3.83713I 0
u = 0.93510 − 1.80883I
a = −0.584700 + 0.271456I
b = −1.125460 − 0.057620I
6.30482 + 3.83713I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.89085 + 0.96584I
a = 0.212627 − 0.591082I
b = 1.345160 − 0.379703I
14.7335 − 8.0221I 0
u = −1.89085 − 0.96584I
a = 0.212627 + 0.591082I
b = 1.345160 + 0.379703I
14.7335 + 8.0221I 0
u = 0.25146 + 2.38213I
a = 0.489335 + 0.165665I
b = 1.101460 + 0.159638I
9.43262 + 9.57051I 0
u = 0.25146 − 2.38213I
a = 0.489335 − 0.165665I
b = 1.101460 − 0.159638I
9.43262 − 9.57051I 0
23
III.
I
u
3
= hu
4
−2u
3
+2u
2
+b, u
4
−2u
3
+u
2
+a+2u −1, u
5
−3u
4
+4u
3
−u
2
−u+1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
−u
4
+ 2u
3
− u
2
− 2u + 1
−u
4
+ 2u
3
− 2u
2
a
6
=
u
2
− 2u + 1
−u
4
+ 2u
3
− 2u
2
a
2
=
u
3
− 2u
2
+ 2u
−u
3
+ 2u
2
− u
a
12
=
−u
2
+ 2u − 1
u
4
− 2u
3
+ 2u
2
a
1
=
u
4
− 2u
3
+ u
2
+ 2u − 1
u
4
− 2u
3
+ 2u
2
a
10
=
−1
u
2
a
8
=
−u
3
+ 2u
2
− 2u
u
3
− 2u
2
+ u
a
5
=
0
−u
a
9
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u
4
+ 16u
3
− 16u
2
− 8u + 12
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1
c
2
, c
5
, c
8
c
11
u
5
− u
4
− 2u
3
+ u
2
+ u + 1
c
3
, c
9
u
5
− 3u
4
+ 4u
3
− u
2
− u + 1
c
4
, c
10
u
5
− u
4
+ 2u
3
− u
2
+ u − 1
c
6
, c
12
u
5
+ u
4
− 2u
3
− u
2
+ u − 1
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
7
c
10
y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1
c
2
, c
5
, c
6
c
8
, c
11
, c
12
y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1
c
3
, c
9
y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.561306 + 0.557752I
a = −0.428550 − 1.039280I
b = −0.309916 − 0.549911I
0.65820 + 3.06116I 5.03023 − 8.86130I
u = 0.561306 − 0.557752I
a = −0.428550 + 1.039280I
b = −0.309916 + 0.549911I
0.65820 − 3.06116I 5.03023 + 8.86130I
u = −0.588022
a = 1.30408
b = −1.21774
4.80216 6.96230
u = 1.23271 + 1.09381I
a = 0.276511 + 0.728237I
b = 1.41878 + 0.21917I
11.7451 + 8.8017I 13.4886 − 6.9972I
u = 1.23271 − 1.09381I
a = 0.276511 − 0.728237I
b = 1.41878 − 0.21917I
11.7451 − 8.8017I 13.4886 + 6.9972I
27
IV.
I
u
4
= h3.39×10
57
u
37
+1.64×10
58
u
36
+· · ·+1.72×10
58
b+1.68×10
58
, −6.22×
10
57
u
37
−2.90×10
58
u
36
+· · ·+1.72×10
58
a+2.01×10
58
, u
38
+5u
37
+· · ·+3u+1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
0.362549u
37
+ 1.69009u
36
+ ··· + 8.87775u − 1.17141
−0.197442u
37
− 0.954453u
36
+ ··· − 3.82321u − 0.976500
a
6
=
0.559990u
37
+ 2.64454u
36
+ ··· + 12.7010u − 0.194914
−0.197442u
37
− 0.954453u
36
+ ··· − 3.82321u − 0.976500
a
2
=
−0.253953u
37
− 1.00942u
36
+ ··· − 1.55921u + 3.88680
0.257888u
37
+ 1.14286u
36
+ ··· + 5.28944u + 0.165449
a
12
=
1.19955u
37
+ 6.11357u
36
+ ··· + 17.3148u + 0.356808
−0.156495u
37
− 0.888962u
36
+ ··· − 1.18673u − 1.03754
a
1
=
−0.123807u
37
− 0.455884u
36
+ ··· + 3.20316u + 3.79191
0.343370u
37
+ 1.55782u
36
+ ··· + 5.12800u + 0.0682530
a
10
=
0.464718u
37
+ 2.43666u
36
+ ··· + 3.52028u + 1.64375
0.113765u
37
+ 0.494065u
36
+ ··· + 4.04044u − 0.00393508
a
8
=
−0.0672594u
37
− 0.545625u
36
+ ··· + 4.25183u − 1.25750
−0.0710772u
37
− 0.191255u
36
+ ··· − 4.07364u − 0.533355
a
5
=
0.893464u
37
+ 4.44340u
36
+ ··· + 15.3087u − 0.512723
−0.292633u
37
− 1.49746u
36
+ ··· − 4.88805u − 1.26298
a
9
=
1.21387u
37
+ 6.03261u
36
+ ··· + 19.4032u − 2.09961
−0.185279u
37
− 1.01233u
36
+ ··· − 5.44474u − 1.23462
(ii) Obstruction class = 1
(iii) Cusp Shapes = −0.454829u
37
− 2.07648u
36
+ ··· − 6.51606u + 3.11909
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
38
− 3u
37
+ ··· − 15u + 1
c
2
, c
8
u
38
+ 4u
37
+ ··· + 12u + 4
c
3
, c
9
u
38
+ 5u
37
+ ··· + 3u + 1
c
4
, c
10
u
38
+ 3u
37
+ ··· + 15u + 1
c
5
, c
11
u
38
+ 7u
37
+ ··· + 5u + 1
c
6
, c
12
u
38
− 4u
37
+ ··· − 12u + 4
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
7
c
10
y
38
+ 39y
37
+ ··· − 9y + 1
c
2
, c
6
, c
8
c
12
y
38
− 20y
37
+ ··· − 320y + 16
c
3
, c
9
y
38
− 13y
37
+ ··· + 29y + 1
c
5
, c
11
y
38
+ 11y
37
+ ··· − 7y + 1
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.006020 + 0.108402I
a = 0.041965 − 1.124440I
b = −0.307816 − 1.309040I
2.08393 + 2.09885I 6.74136 − 2.24624I
u = 1.006020 − 0.108402I
a = 0.041965 + 1.124440I
b = −0.307816 + 1.309040I
2.08393 − 2.09885I 6.74136 + 2.24624I
u = −0.783199 + 0.682589I
a = −0.88816 + 1.20713I
b = −1.40886 + 0.58364I
11.20950 − 2.87208I 11.41681 − 1.93289I
u = −0.783199 − 0.682589I
a = −0.88816 − 1.20713I
b = −1.40886 − 0.58364I
11.20950 + 2.87208I 11.41681 + 1.93289I
u = 0.852981 + 0.378443I
a = −0.59632 − 1.58360I
b = −1.27852 − 0.79948I
10.47250 + 4.02627I 17.4758 − 4.9066I
u = 0.852981 − 0.378443I
a = −0.59632 + 1.58360I
b = −1.27852 + 0.79948I
10.47250 − 4.02627I 17.4758 + 4.9066I
u = −0.884234 + 0.141317I
a = 0.366312 − 1.241090I
b = −0.577770 − 1.049830I
3.67800 + 4.61094I 9.62428 − 6.11893I
u = −0.884234 − 0.141317I
a = 0.366312 + 1.241090I
b = −0.577770 + 1.049830I
3.67800 − 4.61094I 9.62428 + 6.11893I
u = −0.633213 + 0.947549I
a = −0.775053 + 0.760546I
b = −1.143930 − 0.107353I
4.13157 + 2.49454I 6.01645 − 3.26026I
u = −0.633213 − 0.947549I
a = −0.775053 − 0.760546I
b = −1.143930 + 0.107353I
4.13157 − 2.49454I 6.01645 + 3.26026I
31
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.560678 + 0.642221I
a = 2.07296 − 1.17339I
b = 0.982523 − 0.161392I
10.47250 − 4.02627I 17.4758 + 4.9066I
u = −0.560678 − 0.642221I
a = 2.07296 + 1.17339I
b = 0.982523 + 0.161392I
10.47250 + 4.02627I 17.4758 − 4.9066I
u = 0.800763 + 0.038049I
a = −1.36164 − 1.96464I
b = 1.140420 − 0.081522I
11.20950 + 2.87208I 11.41681 + 1.93289I
u = 0.800763 − 0.038049I
a = −1.36164 + 1.96464I
b = 1.140420 + 0.081522I
11.20950 − 2.87208I 11.41681 − 1.93289I
u = −1.248030 + 0.006543I
a = −0.429882 − 0.103644I
b = 1.159050 + 0.442736I
3.87460 + 4.46955I 7.99620 − 7.39912I
u = −1.248030 − 0.006543I
a = −0.429882 + 0.103644I
b = 1.159050 − 0.442736I
3.87460 − 4.46955I 7.99620 + 7.39912I
u = 0.324098 + 1.258480I
a = 0.653026 − 0.073619I
b = −0.485333 − 0.101693I
0.557950 − 0.202750I 1.39582 − 1.60856I
u = 0.324098 − 1.258480I
a = 0.653026 + 0.073619I
b = −0.485333 + 0.101693I
0.557950 + 0.202750I 1.39582 + 1.60856I
u = 0.431285 + 0.518833I
a = 1.066950 + 0.240807I
b = 0.008587 − 0.703353I
0.557950 + 0.202750I 1.39582 + 1.60856I
u = 0.431285 − 0.518833I
a = 1.066950 − 0.240807I
b = 0.008587 + 0.703353I
0.557950 − 0.202750I 1.39582 − 1.60856I
32
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.319825 + 0.514057I
a = 0.97363 − 1.29962I
b = −0.537788 − 0.676595I
0.808517 5.82422 + 0.I
u = −0.319825 − 0.514057I
a = 0.97363 + 1.29962I
b = −0.537788 + 0.676595I
0.808517 5.82422 + 0.I
u = 0.352154 + 0.432621I
a = 0.246503 − 0.435869I
b = −1.044850 + 0.558798I
4.13157 − 2.49454I 6.01645 + 3.26026I
u = 0.352154 − 0.432621I
a = 0.246503 + 0.435869I
b = −1.044850 − 0.558798I
4.13157 + 2.49454I 6.01645 − 3.26026I
u = −1.36960 + 0.61864I
a = 0.116692 − 0.922690I
b = 1.51293 − 0.56099I
7.85609 − 8.71978I 9.85001 + 8.37279I
u = −1.36960 − 0.61864I
a = 0.116692 + 0.922690I
b = 1.51293 + 0.56099I
7.85609 + 8.71978I 9.85001 − 8.37279I
u = −1.42590 + 0.52437I
a = 0.355875 − 0.602665I
b = −0.830510 − 0.546601I
3.87460 + 4.46955I 7.99620 − 7.39912I
u = −1.42590 − 0.52437I
a = 0.355875 + 0.602665I
b = −0.830510 + 0.546601I
3.87460 − 4.46955I 7.99620 + 7.39912I
u = −0.03610 + 1.55410I
a = −0.562289 + 0.277128I
b = 0.618160 − 0.158533I
7.85609 − 8.71978I 9.85001 + 8.37279I
u = −0.03610 − 1.55410I
a = −0.562289 − 0.277128I
b = 0.618160 + 0.158533I
7.85609 + 8.71978I 9.85001 − 8.37279I
33
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.45469 + 0.70227I
a = 0.061047 − 0.727679I
b = −0.968713 − 0.231929I
1.78981 + 3.24561I 0
u = 1.45469 − 0.70227I
a = 0.061047 + 0.727679I
b = −0.968713 + 0.231929I
1.78981 − 3.24561I 0
u = −1.60517 + 0.49422I
a = −0.368554 − 0.411736I
b = 1.100720 − 0.310316I
3.67800 − 4.61094I 0
u = −1.60517 − 0.49422I
a = −0.368554 + 0.411736I
b = 1.100720 + 0.310316I
3.67800 + 4.61094I 0
u = −0.063752 + 0.210787I
a = −2.38233 + 1.71092I
b = −0.628305 − 0.901686I
1.78981 + 3.24561I 3.57119 − 1.80994I
u = −0.063752 − 0.210787I
a = −2.38233 − 1.71092I
b = −0.628305 + 0.901686I
1.78981 − 3.24561I 3.57119 + 1.80994I
u = 1.20769 + 1.42132I
a = −0.090738 − 0.338975I
b = 0.690014 − 0.227129I
2.08393 + 2.09885I 0
u = 1.20769 − 1.42132I
a = −0.090738 + 0.338975I
b = 0.690014 + 0.227129I
2.08393 − 2.09885I 0
34
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)(u
23
− u
22
+ ··· − 7u − 1)
· (u
38
− 3u
37
+ ··· − 15u + 1)(u
124
− 8u
123
+ ··· − 19679u − 1829)
c
2
, c
8
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)(u
23
− u
22
+ ··· + 12u − 4)
· (u
38
+ 4u
37
+ ··· + 12u + 4)(u
124
− 3u
123
+ ··· + 13060u − 7061)
c
3
, c
9
(u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)(u
23
− 3u
22
+ ··· + 23u − 19)
· (u
38
+ 5u
37
+ ··· + 3u + 1)
· (u
124
− 28u
122
+ ··· − 37001253u + 9393563)
c
4
, c
10
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)(u
23
− u
22
+ ··· − 7u − 1)
· (u
38
+ 3u
37
+ ··· + 15u + 1)(u
124
− 8u
123
+ ··· − 19679u − 1829)
c
5
, c
11
(u
5
− u
4
− 2u
3
+ u
2
+ u + 1)(u
23
+ u
22
+ ··· + 31u − 1)
· (u
38
+ 7u
37
+ ··· + 5u + 1)(u
124
+ 12u
123
+ ··· − 23079u + 2117)
c
6
, c
12
(u
5
+ u
4
− 2u
3
− u
2
+ u − 1)(u
23
− u
22
+ ··· + 12u − 4)
· (u
38
− 4u
37
+ ··· − 12u + 4)(u
124
− 3u
123
+ ··· + 13060u − 7061)
35
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
7
c
10
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)(y
23
+ 27y
22
+ ··· + 25y −1)
· (y
38
+ 39y
37
+ ··· − 9y + 1)
· (y
124
+ 104y
123
+ ··· − 374690495y + 3345241)
c
2
, c
6
, c
8
c
12
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)(y
23
− 15y
22
+ ··· + 96y −16)
· (y
38
− 20y
37
+ ··· − 320y + 16)
· (y
124
− 85y
123
+ ··· − 834961334y + 49857721)
c
3
, c
9
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)(y
23
− 17y
22
+ ··· + 301y −361)
· (y
38
− 13y
37
+ ··· + 29y + 1)
· (y
124
− 56y
123
+ ··· − 7183023354678805y + 88239025834969)
c
5
, c
11
(y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1)(y
23
+ 11y
22
+ ··· + 957y −1)
· (y
38
+ 11y
37
+ ··· − 7y + 1)
· (y
124
− 36y
123
+ ··· + 1058022751y + 4481689)
36
