12a
0748
(K12a
0748
)
A knot diagram
1
Linearized knot diagam
3 8 10 9 11 12 2 7 4 1 6 5
Solving Sequence
3,10 4,8
2 1 11 7 9 5 12 6
c
3
c
2
c
1
c
10
c
7
c
9
c
4
c
12
c
6
c
5
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.87140 × 10
123
u
79
+ 2.18263 × 10
123
u
78
+ ··· + 7.17978 × 10
123
b − 6.11537 × 10
123
,
− 1.40244 × 10
124
u
79
+ 1.63676 × 10
124
u
78
+ ··· + 7.17978 × 10
123
a − 6.01317 × 10
124
,
u
80
− u
79
+ ··· + 14u + 1i
I
u
2
= h−a
4
u − a
3
u − 4a
3
+ 5a
2
u − 3a
2
+ 2au + b + 2a,
a
6
− 6a
5
u + a
5
− 5a
4
u − 14a
4
+ 16a
3
u − 8a
3
+ 4a
2
u + 10a
2
− 4au − a + u, u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 92 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−1.87 × 10
123
u
79
+ 2.18 × 10
123
u
78
+ · · · + 7.18 × 10
123
b − 6.12 ×
10
123
, −1.40 × 10
124
u
79
+ 1.64 × 10
124
u
78
+ · · · + 7.18 × 10
123
a − 6.01 ×
10
124
, u
80
− u
79
+ · · · + 14u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
8
=
1.95331u
79
− 2.27968u
78
+ ··· + 136.278u + 8.37515
0.260648u
79
− 0.303997u
78
+ ··· + 19.3110u + 0.851748
a
2
=
1.49413u
79
− 1.06018u
78
+ ··· + 149.804u + 16.0944
0.0909719u
79
− 0.306689u
78
+ ··· + 10.2215u + 0.390652
a
1
=
1.58510u
79
− 1.36687u
78
+ ··· + 160.025u + 16.4850
0.0909719u
79
− 0.306689u
78
+ ··· + 10.2215u + 0.390652
a
11
=
2.28061u
79
− 2.53229u
78
+ ··· + 165.250u + 9.03889
0.337528u
79
− 0.365997u
78
+ ··· + 17.0768u + 0.443473
a
7
=
0.824595u
79
− 0.983888u
78
+ ··· + 28.2566u − 6.24653
−0.133058u
79
+ 0.0689018u
78
+ ··· − 3.41790u − 1.33483
a
9
=
u
u
3
+ u
a
5
=
u
2
+ 1
u
4
+ 2u
2
a
12
=
1.41068u
79
− 0.973288u
78
+ ··· + 145.197u + 15.9700
0.0510447u
79
− 0.267505u
78
+ ··· + 9.59013u + 0.315140
a
6
=
2.87903u
79
− 3.41840u
78
+ ··· + 217.745u + 15.4041
0.279564u
79
− 0.233512u
78
+ ··· + 21.0602u + 0.435870
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.928763u
79
+ 1.11812u
78
+ ··· − 28.6561u − 6.34554
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
8
u
80
+ 25u
79
+ ··· + 60u + 25
c
2
, c
7
u
80
+ u
79
+ ··· − 6u
2
+ 5
c
3
, c
4
, c
9
u
80
+ u
79
+ ··· − 14u + 1
c
5
, c
6
, c
11
u
80
+ u
79
+ ··· − 10u + 1
c
10
u
80
− 15u
79
+ ··· − 39596u + 1033
c
12
u
80
− 3u
79
+ ··· + 13830u − 989
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
80
+ 67y
79
+ ··· − 50800y + 625
c
2
, c
7
y
80
− 25y
79
+ ··· − 60y + 25
c
3
, c
4
, c
9
y
80
+ 81y
79
+ ··· − 18y + 1
c
5
, c
6
, c
11
y
80
− 75y
79
+ ··· − 38y + 1
c
10
y
80
+ 45y
79
+ ··· − 124136878y + 1067089
c
12
y
80
− 15y
79
+ ··· − 85902818y + 978121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.101733 + 0.978535I
a = −0.033701 + 1.093690I
b = −0.799435 − 0.496821I
1.74572 − 2.06211I 0
u = 0.101733 − 0.978535I
a = −0.033701 − 1.093690I
b = −0.799435 + 0.496821I
1.74572 + 2.06211I 0
u = 0.932168 + 0.451237I
a = −0.864775 + 1.096610I
b = −0.980241 − 0.768254I
8.13397 − 10.72160I 0
u = 0.932168 − 0.451237I
a = −0.864775 − 1.096610I
b = −0.980241 + 0.768254I
8.13397 + 10.72160I 0
u = −0.671867 + 0.691792I
a = 0.251308 + 0.385725I
b = −0.848915 − 0.748997I
3.18517 − 2.17478I 0
u = −0.671867 − 0.691792I
a = 0.251308 − 0.385725I
b = −0.848915 + 0.748997I
3.18517 + 2.17478I 0
u = −0.886988 + 0.540330I
a = 0.171370 + 0.233050I
b = −0.777836 − 0.830954I
8.75856 + 4.73589I 0
u = −0.886988 − 0.540330I
a = 0.171370 − 0.233050I
b = −0.777836 + 0.830954I
8.75856 − 4.73589I 0
u = −0.843750 + 0.446002I
a = 0.86480 + 1.19833I
b = 0.959903 − 0.744068I
2.34197 + 7.34848I 0
u = −0.843750 − 0.446002I
a = 0.86480 − 1.19833I
b = 0.959903 + 0.744068I
2.34197 − 7.34848I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.773404 + 0.533895I
a = −0.243368 + 0.246513I
b = 0.781008 − 0.781882I
2.88709 − 1.58183I 0
u = 0.773404 − 0.533895I
a = −0.243368 − 0.246513I
b = 0.781008 + 0.781882I
2.88709 + 1.58183I 0
u = 0.211758 + 1.045890I
a = 0.01122 + 1.50037I
b = −0.625781 + 0.073783I
4.13037 + 3.00225I 0
u = 0.211758 − 1.045890I
a = 0.01122 − 1.50037I
b = −0.625781 − 0.073783I
4.13037 − 3.00225I 0
u = −0.820630 + 0.689518I
a = 0.610056 + 1.148510I
b = 0.885344 − 0.795442I
9.21149 + 1.01170I 0
u = −0.820630 − 0.689518I
a = 0.610056 − 1.148510I
b = 0.885344 + 0.795442I
9.21149 − 1.01170I 0
u = 0.732575 + 0.554489I
a = −0.69837 + 1.29546I
b = −0.905606 − 0.738630I
3.00895 − 3.47648I 0
u = 0.732575 − 0.554489I
a = −0.69837 − 1.29546I
b = −0.905606 + 0.738630I
3.00895 + 3.47648I 0
u = −0.218430 + 1.086470I
a = 0.214726 + 1.351440I
b = 0.730735 − 0.049838I
−0.492772 + 0.251831I 0
u = −0.218430 − 1.086470I
a = 0.214726 − 1.351440I
b = 0.730735 + 0.049838I
−0.492772 − 0.251831I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.775030 + 0.799999I
a = −0.154885 + 0.388889I
b = 0.889389 − 0.791856I
9.19741 + 4.94494I 0
u = 0.775030 − 0.799999I
a = −0.154885 − 0.388889I
b = 0.889389 + 0.791856I
9.19741 − 4.94494I 0
u = −0.362426 + 1.100800I
a = 0.165931 + 1.100420I
b = 0.583672 − 0.661495I
6.51022 + 2.68209I 0
u = −0.362426 − 1.100800I
a = 0.165931 − 1.100420I
b = 0.583672 + 0.661495I
6.51022 − 2.68209I 0
u = 0.295810 + 1.134100I
a = −0.003573 + 0.715062I
b = 1.001540 − 0.585236I
5.23659 + 2.17110I 0
u = 0.295810 − 1.134100I
a = −0.003573 − 0.715062I
b = 1.001540 + 0.585236I
5.23659 − 2.17110I 0
u = 0.241057 + 1.170000I
a = −0.414456 + 1.145130I
b = −0.921127 − 0.116588I
2.45641 − 3.21481I 0
u = 0.241057 − 1.170000I
a = −0.414456 − 1.145130I
b = −0.921127 + 0.116588I
2.45641 + 3.21481I 0
u = −0.345580 + 0.634269I
a = −0.285955 + 0.408231I
b = 0.015644 + 0.475314I
4.83976 + 3.51631I 3.10687 − 4.94951I
u = −0.345580 − 0.634269I
a = −0.285955 − 0.408231I
b = 0.015644 − 0.475314I
4.83976 − 3.51631I 3.10687 + 4.94951I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.054082 + 1.332890I
a = −0.282249 + 0.830000I
b = −1.074650 − 0.347834I
2.46046 − 1.87752I 0
u = 0.054082 − 1.332890I
a = −0.282249 − 0.830000I
b = −1.074650 + 0.347834I
2.46046 + 1.87752I 0
u = 0.640087
a = 1.64399
b = 0.964662
−1.04598 −8.67610
u = 0.575302 + 0.268375I
a = 1.99533 + 0.24230I
b = 0.981751 + 0.220824I
1.92420 − 6.00380I −5.29609 + 7.13833I
u = 0.575302 − 0.268375I
a = 1.99533 − 0.24230I
b = 0.981751 − 0.220824I
1.92420 + 6.00380I −5.29609 − 7.13833I
u = −0.588746 + 0.173171I
a = −1.77796 + 0.22741I
b = −0.955476 + 0.155992I
−3.12955 + 2.80147I −11.11475 − 6.33047I
u = −0.588746 − 0.173171I
a = −1.77796 − 0.22741I
b = −0.955476 − 0.155992I
−3.12955 − 2.80147I −11.11475 + 6.33047I
u = −0.174397 + 1.383230I
a = 0.400952 + 0.826741I
b = 1.125090 − 0.254913I
1.83502 + 5.48427I 0
u = −0.174397 − 1.383230I
a = 0.400952 − 0.826741I
b = 1.125090 + 0.254913I
1.83502 − 5.48427I 0
u = −0.04414 + 1.42255I
a = 0.93098 − 2.08220I
b = −0.881041 + 0.761522I
4.02110 + 2.87995I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.04414 − 1.42255I
a = 0.93098 + 2.08220I
b = −0.881041 − 0.761522I
4.02110 − 2.87995I 0
u = −0.03050 + 1.42320I
a = −1.17424 − 1.79296I
b = 0.836814 + 0.773435I
7.88157 + 1.28407I 0
u = −0.03050 − 1.42320I
a = −1.17424 + 1.79296I
b = 0.836814 − 0.773435I
7.88157 − 1.28407I 0
u = 0.11860 + 1.43036I
a = −0.58859 − 2.23064I
b = 0.924105 + 0.756075I
7.61249 − 7.06523I 0
u = 0.11860 − 1.43036I
a = −0.58859 + 2.23064I
b = 0.924105 − 0.756075I
7.61249 + 7.06523I 0
u = 0.00024 + 1.44080I
a = 0.285840 + 0.736919I
b = 1.151750 − 0.388320I
8.39629 − 0.63079I 0
u = 0.00024 − 1.44080I
a = 0.285840 − 0.736919I
b = 1.151750 + 0.388320I
8.39629 + 0.63079I 0
u = 0.05174 + 1.45148I
a = −0.018131 + 0.962979I
b = −0.056374 − 0.795689I
5.80702 − 1.98974I 0
u = 0.05174 − 1.45148I
a = −0.018131 − 0.962979I
b = −0.056374 + 0.795689I
5.80702 + 1.98974I 0
u = 0.19387 + 1.44583I
a = −0.425784 + 0.774845I
b = −1.176240 − 0.252011I
7.54244 − 8.76456I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.19387 − 1.44583I
a = −0.425784 − 0.774845I
b = −1.176240 + 0.252011I
7.54244 + 8.76456I 0
u = 0.513658
a = 1.37806
b = 0.827741
−1.34189 −6.91700
u = −0.507056 + 0.053892I
a = −0.002765 + 0.465935I
b = −0.517576 + 0.509108I
3.24338 − 0.59067I −0.928629 − 0.584065I
u = −0.507056 − 0.053892I
a = −0.002765 − 0.465935I
b = −0.517576 − 0.509108I
3.24338 + 0.59067I −0.928629 + 0.584065I
u = 0.476219 + 0.168968I
a = −1.43519 + 2.10419I
b = −0.942034 − 0.603774I
2.30977 − 5.10729I −4.12064 + 6.77014I
u = 0.476219 − 0.168968I
a = −1.43519 − 2.10419I
b = −0.942034 + 0.603774I
2.30977 + 5.10729I −4.12064 − 6.77014I
u = −0.09439 + 1.52168I
a = 0.031950 + 0.938149I
b = 0.091903 − 0.871946I
11.90470 + 5.02795I 0
u = −0.09439 − 1.52168I
a = 0.031950 − 0.938149I
b = 0.091903 + 0.871946I
11.90470 − 5.02795I 0
u = 0.257516 + 0.387955I
a = 0.161469 + 0.323631I
b = 0.107563 + 0.368320I
−0.128336 − 1.019230I −2.35092 + 6.58230I
u = 0.257516 − 0.387955I
a = 0.161469 − 0.323631I
b = 0.107563 − 0.368320I
−0.128336 + 1.019230I −2.35092 − 6.58230I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.25346 + 1.52819I
a = −0.03652 − 1.93780I
b = 1.007120 + 0.789658I
9.78276 − 7.07394I 0
u = 0.25346 − 1.52819I
a = −0.03652 + 1.93780I
b = 1.007120 − 0.789658I
9.78276 + 7.07394I 0
u = −0.31104 + 1.51921I
a = −0.13083 − 1.93728I
b = −1.034310 + 0.777789I
8.7210 + 11.5709I 0
u = −0.31104 − 1.51921I
a = −0.13083 + 1.93728I
b = −1.034310 − 0.777789I
8.7210 − 11.5709I 0
u = −0.19543 + 1.54802I
a = −0.92101 − 1.11661I
b = 0.766788 + 0.884790I
10.53440 + 0.86706I 0
u = −0.19543 − 1.54802I
a = −0.92101 + 1.11661I
b = 0.766788 − 0.884790I
10.53440 − 0.86706I 0
u = 0.26150 + 1.53905I
a = 0.933999 − 0.963161I
b = −0.726409 + 0.898691I
9.68026 − 5.36620I 0
u = 0.26150 − 1.53905I
a = 0.933999 + 0.963161I
b = −0.726409 − 0.898691I
9.68026 + 5.36620I 0
u = 0.34836 + 1.53663I
a = 0.21307 − 1.86398I
b = 1.054520 + 0.781483I
14.5640 − 15.3956I 0
u = 0.34836 − 1.53663I
a = 0.21307 + 1.86398I
b = 1.054520 − 0.781483I
14.5640 + 15.3956I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.30441 + 1.56366I
a = −0.868025 − 0.886761I
b = 0.709930 + 0.925967I
15.6429 + 9.1022I 0
u = −0.30441 − 1.56366I
a = −0.868025 + 0.886761I
b = 0.709930 − 0.925967I
15.6429 − 9.1022I 0
u = −0.22395 + 1.60407I
a = 0.11170 − 1.73571I
b = −1.003300 + 0.831540I
16.9165 + 4.8171I 0
u = −0.22395 − 1.60407I
a = 0.11170 + 1.73571I
b = −1.003300 − 0.831540I
16.9165 − 4.8171I 0
u = 0.16076 + 1.62447I
a = 0.741747 − 1.164460I
b = −0.806249 + 0.918049I
17.5372 + 1.6269I 0
u = 0.16076 − 1.62447I
a = 0.741747 + 1.164460I
b = −0.806249 − 0.918049I
17.5372 − 1.6269I 0
u = −0.178705 + 0.120060I
a = 0.93450 + 4.97190I
b = 0.890770 − 0.549646I
−1.16657 + 2.14399I −10.37179 − 2.91834I
u = −0.178705 − 0.120060I
a = 0.93450 − 4.97190I
b = 0.890770 + 0.549646I
−1.16657 − 2.14399I −10.37179 + 2.91834I
u = −0.0896155 + 0.0906026I
a = −3.68162 + 6.94609I
b = −0.858957 + 0.460685I
3.02062 − 0.76923I −4.51577 − 0.70346I
u = −0.0896155 − 0.0906026I
a = −3.68162 − 6.94609I
b = −0.858957 − 0.460685I
3.02062 + 0.76923I −4.51577 + 0.70346I
12
II. I
u
2
= h−a
4
u − a
3
u + · · · − 3a
2
+ 2a, −6a
5
u − 5a
4
u + · · · + 10a
2
− a, u
2
+ 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−1
a
8
=
a
a
4
u + a
3
u + 4a
3
− 5a
2
u + 3a
2
− 2au − 2a
a
2
=
−a
5
u − a
4
u − 4a
4
+ 5a
3
u − 3a
3
+ 2a
2
u + 2a
2
+ 1
−a
4
+ 4a
3
u − a
3
+ 3a
2
u + 5a
2
− 2au + 2a − 1
a
1
=
−a
5
u − a
4
u − 5a
4
+ 9a
3
u − 4a
3
+ 5a
2
u + 7a
2
− 2au + 2a
−a
4
+ 4a
3
u − a
3
+ 3a
2
u + 5a
2
− 2au + 2a − 1
a
11
=
a
3
u + 3a
2
− 3au + u − 1
−a + 2u
a
7
=
−a
5
+ 5a
4
u − a
4
+ 4a
3
u + 9a
3
− 7a
2
u + 5a
2
− 2au − 2a
a
4
u + a
3
u + 4a
3
− 5a
2
u + 3a
2
− 2au − 2a + u
a
9
=
u
0
a
5
=
0
−1
a
12
=
−a
5
u − a
4
u − 5a
4
+ 9a
3
u − 4a
3
+ 5a
2
u + 7a
2
− 2au + 2a
−a
5
u − a
4
u − 6a
4
+ 13a
3
u − 5a
3
+ 8a
2
u + 12a
2
− 4au + 4a − 1
a
6
=
−a
5
+ 5a
4
u − a
4
+ 4a
3
u + 10a
3
− 10a
2
u + 5a
2
− 2au − 5a + u
a
4
u + 5a
3
− 9a
2
u + au − 7a + 2u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4a
5
− 20a
4
u + 8a
4
− 32a
3
u − 32a
3
+ 16a
2
u − 40a
2
+ 16au
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)
6
c
2
, c
7
(u
4
− u
2
+ 1)
3
c
3
, c
4
, c
9
(u
2
+ 1)
6
c
5
, c
6
, c
11
(u
6
− 3u
4
+ 2u
2
+ 1)
2
c
8
(u
2
+ u + 1)
6
c
10
(u
3
+ u
2
− 1)
4
c
12
(u
6
+ u
4
+ 2u
2
+ 1)
2
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
(y
2
+ y + 1)
6
c
2
, c
7
(y
2
− y + 1)
6
c
3
, c
4
, c
9
(y + 1)
12
c
5
, c
6
, c
11
(y
3
− 3y
2
+ 2y + 1)
4
c
10
(y
3
− y
2
+ 2y −1)
4
c
12
(y
3
+ y
2
+ 2y + 1)
4
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.000000I
a = −1.083790 + 0.612547I
b = −0.866025 − 0.500000I
4.66906 + 0.79824I 1.50976 + 0.48465I
u = 1.000000I
a = 0.377439 + 0.346257I
b = 0.866025 − 0.500000I
0.53148 + 2.02988I −5.01951 − 3.46410I
u = 1.000000I
a = 0.37744 + 1.65374I
b = −0.866025 − 0.500000I
0.53148 − 2.02988I −5.01951 + 3.46410I
u = 1.000000I
a = 0.206350 − 0.132315I
b = −0.866025 − 0.500000I
4.66906 − 4.85801I 1.50976 + 6.44355I
u = 1.000000I
a = −1.08379 + 1.38745I
b = 0.866025 − 0.500000I
4.66906 − 0.79824I 1.50976 − 0.48465I
u = 1.000000I
a = 0.20635 + 2.13232I
b = 0.866025 − 0.500000I
4.66906 + 4.85801I 1.50976 − 6.44355I
u = − 1.000000I
a = −1.083790 − 0.612547I
b = −0.866025 + 0.500000I
4.66906 − 0.79824I 1.50976 − 0.48465I
u = − 1.000000I
a = 0.377439 − 0.346257I
b = 0.866025 + 0.500000I
0.53148 − 2.02988I −5.01951 + 3.46410I
u = − 1.000000I
a = 0.37744 − 1.65374I
b = −0.866025 + 0.500000I
0.53148 + 2.02988I −5.01951 − 3.46410I
u = − 1.000000I
a = 0.206350 + 0.132315I
b = −0.866025 + 0.500000I
4.66906 + 4.85801I 1.50976 − 6.44355I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = − 1.000000I
a = −1.08379 − 1.38745I
b = 0.866025 + 0.500000I
4.66906 + 0.79824I 1.50976 + 0.48465I
u = − 1.000000I
a = 0.20635 − 2.13232I
b = 0.866025 + 0.500000I
4.66906 − 4.85801I 1.50976 + 6.44355I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
6
)(u
80
+ 25u
79
+ ··· + 60u + 25)
c
2
, c
7
((u
4
− u
2
+ 1)
3
)(u
80
+ u
79
+ ··· − 6u
2
+ 5)
c
3
, c
4
, c
9
((u
2
+ 1)
6
)(u
80
+ u
79
+ ··· − 14u + 1)
c
5
, c
6
, c
11
((u
6
− 3u
4
+ 2u
2
+ 1)
2
)(u
80
+ u
79
+ ··· − 10u + 1)
c
8
((u
2
+ u + 1)
6
)(u
80
+ 25u
79
+ ··· + 60u + 25)
c
10
((u
3
+ u
2
− 1)
4
)(u
80
− 15u
79
+ ··· − 39596u + 1033)
c
12
((u
6
+ u
4
+ 2u
2
+ 1)
2
)(u
80
− 3u
79
+ ··· + 13830u − 989)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
8
((y
2
+ y + 1)
6
)(y
80
+ 67y
79
+ ··· − 50800y + 625)
c
2
, c
7
((y
2
− y + 1)
6
)(y
80
− 25y
79
+ ··· − 60y + 25)
c
3
, c
4
, c
9
((y + 1)
12
)(y
80
+ 81y
79
+ ··· − 18y + 1)
c
5
, c
6
, c
11
((y
3
− 3y
2
+ 2y + 1)
4
)(y
80
− 75y
79
+ ··· − 38y + 1)
c
10
((y
3
− y
2
+ 2y −1)
4
)(y
80
+ 45y
79
+ ··· − 1.24137 × 10
8
y + 1067089)
c
12
((y
3
+ y
2
+ 2y + 1)
4
)(y
80
− 15y
79
+ ··· − 8.59028 × 10
7
y + 978121)
19
