12n
0137
(K12n
0137
)
A knot diagram
1
Linearized knot diagam
3 5 7 2 11 4 10 11 1 8 5 9
Solving Sequence
3,5
2
1,9
10 4 12 11 6 7 8
c
2
c
1
c
9
c
4
c
12
c
11
c
5
c
6
c
8
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.85228 × 10
76
u
64
− 6.99704 × 10
77
u
63
+ ··· + 5.10441 × 10
77
b − 2.60555 × 10
76
,
− 1.62634 × 10
77
u
64
− 1.12461 × 10
78
u
63
+ ··· + 5.10441 × 10
77
a + 2.07206 × 10
79
,
u
65
+ 7u
64
+ ··· − 61u + 1i
I
u
2
= h3u
2
a + 4au + u
2
+ b + 2a + u + 1, −u
2
a + a
2
+ u
2
+ a − u, u
3
+ u
2
− 1i
I
u
3
= h−4a
2
+ b + a − 7, a
3
− a
2
+ 2a − 1, u − 1i
I
u
4
= hb + u + 2, a − 2u − 3, u
2
+ u − 1i
* 4 irreducible components of dim
C
= 0, with total 76 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−9.85 × 10
76
u
64
− 7.00 × 10
77
u
63
+ · · · + 5.10 × 10
77
b − 2.61 ×
10
76
, −1.63 × 10
77
u
64
− 1.12 × 10
78
u
63
+ · · · + 5.10 × 10
77
a + 2.07 ×
10
79
, u
65
+ 7u
64
+ · · · − 61u + 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
−u
2
a
1
=
−u
2
+ 1
−u
2
a
9
=
0.318614u
64
+ 2.20322u
63
+ ··· − 187.922u − 40.5935
0.193015u
64
+ 1.37078u
63
+ ··· + 31.2483u + 0.0510450
a
10
=
−0.181812u
64
− 1.12398u
63
+ ··· − 143.777u − 40.7558
−0.312557u
64
− 1.73228u
63
+ ··· + 47.1225u − 0.209103
a
4
=
u
−u
3
+ u
a
12
=
−0.0237982u
64
+ 0.139063u
63
+ ··· − 88.0105u − 21.6619
−1.02089u
64
− 6.46038u
63
+ ··· + 19.1974u + 0.00528714
a
11
=
−0.0237982u
64
+ 0.139063u
63
+ ··· − 88.0105u − 21.6619
−0.793668u
64
− 5.02777u
63
+ ··· + 0.528898u + 0.310938
a
6
=
−0.174107u
64
− 1.00555u
63
+ ··· − 15.0665u − 7.78932
−0.246119u
64
− 1.30818u
63
+ ··· + 12.6788u − 0.0843556
a
7
=
0.0275853u
64
+ 0.408515u
63
+ ··· − 35.1429u − 7.46418
0.325138u
64
+ 2.07428u
63
+ ··· − 7.33147u + 0.243004
a
8
=
0.404667u
64
+ 2.59172u
63
+ ··· − 131.916u − 23.4724
−0.464640u
64
− 3.13321u
63
+ ··· + 9.04364u + 0.172982
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.87765u
64
+ 14.8687u
63
+ ··· + 187.232u + 6.39873
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
65
+ 35u
64
+ ··· + 4379u + 1
c
2
, c
4
u
65
− 7u
64
+ ··· − 61u − 1
c
3
, c
6
u
65
− 4u
64
+ ··· − 4u − 8
c
5
, c
11
u
65
− 3u
64
+ ··· + 224u − 64
c
7
, c
8
, c
10
u
65
+ 7u
64
+ ··· + 88u − 1
c
9
, c
12
u
65
− 5u
64
+ ··· + 4u − 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
65
− 3y
64
+ ··· + 19078099y −1
c
2
, c
4
y
65
− 35y
64
+ ··· + 4379y −1
c
3
, c
6
y
65
+ 24y
64
+ ··· + 7056y −64
c
5
, c
11
y
65
− 47y
64
+ ··· + 283648y −4096
c
7
, c
8
, c
10
y
65
− 55y
64
+ ··· + 6134y −1
c
9
, c
12
y
65
− 21y
64
+ ··· + 1448y −16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.978199 + 0.188355I
a = −0.097584 − 0.485198I
b = −0.566996 + 1.279070I
−1.000760 − 0.692383I −6.73751 + 0.I
u = 0.978199 − 0.188355I
a = −0.097584 + 0.485198I
b = −0.566996 − 1.279070I
−1.000760 + 0.692383I −6.73751 + 0.I
u = 0.989443
a = 0.408778
b = 9.34730
−0.561787 −200.700
u = −0.792790 + 0.578558I
a = 0.102171 + 0.126924I
b = −1.09401 + 1.32036I
11.02040 + 2.29381I 0
u = −0.792790 − 0.578558I
a = 0.102171 − 0.126924I
b = −1.09401 − 1.32036I
11.02040 − 2.29381I 0
u = −0.956320 + 0.141139I
a = 0.48690 − 1.37332I
b = 0.201705 − 0.989795I
−4.60256 − 2.48429I 2.01382 − 9.93890I
u = −0.956320 − 0.141139I
a = 0.48690 + 1.37332I
b = 0.201705 + 0.989795I
−4.60256 + 2.48429I 2.01382 + 9.93890I
u = −0.683102 + 0.644381I
a = 1.33162 − 1.64923I
b = 0.818752 − 0.323057I
4.65051 + 1.43055I 4.63524 − 5.15036I
u = −0.683102 − 0.644381I
a = 1.33162 + 1.64923I
b = 0.818752 + 0.323057I
4.65051 − 1.43055I 4.63524 + 5.15036I
u = −0.220993 + 0.900580I
a = 1.71144 + 0.11133I
b = 0.241601 + 0.752237I
−0.42473 − 5.58831I 0. + 4.96253I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.220993 − 0.900580I
a = 1.71144 − 0.11133I
b = 0.241601 − 0.752237I
−0.42473 + 5.58831I 0. − 4.96253I
u = −0.898048 + 0.623866I
a = −1.07198 + 1.80577I
b = −1.82761 + 1.02787I
4.03132 + 3.47720I 0
u = −0.898048 − 0.623866I
a = −1.07198 − 1.80577I
b = −1.82761 − 1.02787I
4.03132 − 3.47720I 0
u = 0.568826 + 0.935685I
a = −1.252080 + 0.399270I
b = −0.371291 + 1.091860I
1.38895 + 2.95818I 0
u = 0.568826 − 0.935685I
a = −1.252080 − 0.399270I
b = −0.371291 − 1.091860I
1.38895 − 2.95818I 0
u = −0.124919 + 0.887726I
a = 0.281399 + 0.044752I
b = −0.459233 + 0.326826I
7.57890 − 3.09040I 6.72860 + 3.02873I
u = −0.124919 − 0.887726I
a = 0.281399 − 0.044752I
b = −0.459233 − 0.326826I
7.57890 + 3.09040I 6.72860 − 3.02873I
u = −0.307741 + 1.069510I
a = −1.62825 − 0.54466I
b = −0.412336 − 1.061990I
4.86618 − 10.28160I 0
u = −0.307741 − 1.069510I
a = −1.62825 + 0.54466I
b = −0.412336 + 1.061990I
4.86618 + 10.28160I 0
u = −1.013850 + 0.477455I
a = −0.318794 + 0.444188I
b = 0.224946 − 0.486741I
0.56978 + 4.38703I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.013850 − 0.477455I
a = −0.318794 − 0.444188I
b = 0.224946 + 0.486741I
0.56978 − 4.38703I 0
u = 1.079610 + 0.408263I
a = 0.203024 + 1.130950I
b = 0.42767 + 1.71363I
−1.31032 − 2.58838I 0
u = 1.079610 − 0.408263I
a = 0.203024 − 1.130950I
b = 0.42767 − 1.71363I
−1.31032 + 2.58838I 0
u = −0.866464 + 0.780684I
a = 1.00474 + 1.88631I
b = −0.54581 + 2.09233I
3.85230 + 2.93050I 0
u = −0.866464 − 0.780684I
a = 1.00474 − 1.88631I
b = −0.54581 − 2.09233I
3.85230 − 2.93050I 0
u = 1.143920 + 0.287639I
a = 0.466880 + 0.894239I
b = 2.46022 + 2.14973I
−1.58736 + 0.20570I 0
u = 1.143920 − 0.287639I
a = 0.466880 − 0.894239I
b = 2.46022 − 2.14973I
−1.58736 − 0.20570I 0
u = −1.129770 + 0.340293I
a = −0.433099 + 1.075100I
b = −0.135218 + 1.075780I
−6.03312 + 3.48808I 0
u = −1.129770 − 0.340293I
a = −0.433099 − 1.075100I
b = −0.135218 − 1.075780I
−6.03312 − 3.48808I 0
u = −0.280055 + 0.763508I
a = −1.74275 + 0.40895I
b = −0.218485 + 0.488467I
2.73256 − 3.28945I 2.80172 + 2.68321I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.280055 − 0.763508I
a = −1.74275 − 0.40895I
b = −0.218485 − 0.488467I
2.73256 + 3.28945I 2.80172 − 2.68321I
u = 0.802270
a = 0.0518504
b = −4.68222
7.71518 −86.2400
u = −1.100770 + 0.494345I
a = 0.390021 − 0.786924I
b = 1.74073 − 1.70018I
−0.66498 + 4.63908I 0
u = −1.100770 − 0.494345I
a = 0.390021 + 0.786924I
b = 1.74073 + 1.70018I
−0.66498 − 4.63908I 0
u = 1.138890 + 0.516830I
a = −0.153293 − 1.184990I
b = −1.79910 − 1.91501I
−4.82760 − 4.40824I 0
u = 1.138890 − 0.516830I
a = −0.153293 + 1.184990I
b = −1.79910 + 1.91501I
−4.82760 + 4.40824I 0
u = 0.733644 + 0.132924I
a = −2.44908 − 2.64522I
b = 0.25925 + 3.39498I
0.646116 − 0.109642I −45.2047 + 8.8218I
u = 0.733644 − 0.132924I
a = −2.44908 + 2.64522I
b = 0.25925 − 3.39498I
0.646116 + 0.109642I −45.2047 − 8.8218I
u = 0.212963 + 0.702410I
a = 1.69285 − 0.06283I
b = 0.285610 − 0.811517I
−2.18618 − 0.21906I −3.41412 + 0.63779I
u = 0.212963 − 0.702410I
a = 1.69285 + 0.06283I
b = 0.285610 + 0.811517I
−2.18618 + 0.21906I −3.41412 − 0.63779I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.144350 + 0.549506I
a = 0.423148 − 1.005190I
b = 0.110767 − 1.274550I
0.19526 + 8.22606I 0
u = −1.144350 − 0.549506I
a = 0.423148 + 1.005190I
b = 0.110767 + 1.274550I
0.19526 − 8.22606I 0
u = 1.106960 + 0.690966I
a = −0.095676 + 1.306210I
b = 1.35935 + 1.80926I
−0.31021 − 8.92181I 0
u = 1.106960 − 0.690966I
a = −0.095676 − 1.306210I
b = 1.35935 − 1.80926I
−0.31021 + 8.92181I 0
u = −0.481434 + 0.486718I
a = 0.675303 − 0.696708I
b = 1.023720 − 0.531357I
2.10912 − 0.34030I 3.61302 + 0.63149I
u = −0.481434 − 0.486718I
a = 0.675303 + 0.696708I
b = 1.023720 + 0.531357I
2.10912 + 0.34030I 3.61302 − 0.63149I
u = 1.291860 + 0.308009I
a = −0.535246 − 0.916498I
b = −0.460659 − 1.205350I
−5.30684 + 1.54275I 0
u = 1.291860 − 0.308009I
a = −0.535246 + 0.916498I
b = −0.460659 + 1.205350I
−5.30684 − 1.54275I 0
u = −1.206790 + 0.570547I
a = −0.226214 + 1.184020I
b = −1.59633 + 2.09960I
−3.39471 + 10.94230I 0
u = −1.206790 − 0.570547I
a = −0.226214 − 1.184020I
b = −1.59633 − 2.09960I
−3.39471 − 10.94230I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.255190 + 0.475295I
a = −0.055501 − 0.186916I
b = −0.097593 − 0.921175I
3.47356 − 1.55230I 0
u = 1.255190 − 0.475295I
a = −0.055501 + 0.186916I
b = −0.097593 + 0.921175I
3.47356 + 1.55230I 0
u = 0.652150
a = 0.581302
b = −0.626898
−1.00335 −10.2290
u = −1.228690 + 0.560073I
a = −0.016874 + 0.243267I
b = −0.611981 + 0.962751I
4.31441 + 8.34885I 0
u = −1.228690 − 0.560073I
a = −0.016874 − 0.243267I
b = −0.611981 − 0.962751I
4.31441 − 8.34885I 0
u = −0.914593 + 1.030720I
a = −0.652075 − 1.141730I
b = 0.23039 − 1.45733I
9.17254 + 3.64107I 0
u = −0.914593 − 1.030720I
a = −0.652075 + 1.141730I
b = 0.23039 + 1.45733I
9.17254 − 3.64107I 0
u = −0.277804 + 0.539464I
a = −1.21331 + 0.90105I
b = 0.374598 − 0.465447I
1.65110 − 0.40415I 3.75505 + 0.76632I
u = −0.277804 − 0.539464I
a = −1.21331 − 0.90105I
b = 0.374598 + 0.465447I
1.65110 + 0.40415I 3.75505 − 0.76632I
u = −1.250110 + 0.654083I
a = −0.032151 − 1.362680I
b = 1.31022 − 2.26446I
1.9343 + 16.4466I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.250110 − 0.654083I
a = −0.032151 + 1.362680I
b = 1.31022 + 2.26446I
1.9343 − 16.4466I 0
u = 1.46199 + 0.21591I
a = 0.775439 + 0.708467I
b = 0.671896 + 0.753763I
−1.34521 + 5.69764I 0
u = 1.46199 − 0.21591I
a = 0.775439 − 0.708467I
b = 0.671896 − 0.753763I
−1.34521 − 5.69764I 0
u = −1.64593
a = 0.300783
b = 0.310246
−7.15457 0
u = 0.0151310
a = −43.4847
b = 0.562042
1.12640 9.50900
11
II.
I
u
2
= h3u
2
a + 4au + u
2
+ b + 2a + u + 1, −u
2
a + a
2
+ u
2
+ a − u, u
3
+ u
2
− 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
−u
2
a
1
=
−u
2
+ 1
−u
2
a
9
=
a
−3u
2
a − 4au − u
2
− 2a − u − 1
a
10
=
u
2
− 1
−2u
2
a − 3au − 2a − u − 1
a
4
=
u
u
2
+ u − 1
a
12
=
0
2u
2
a + 3au + 2u
2
+ 2a + 2u + 2
a
11
=
0
2u
2
a + 3au + 2u
2
+ 2a + 2u + 2
a
6
=
0
u
a
7
=
u
2
− 1
u
2
a
8
=
a
u
2
a + 2au + 2u
2
+ 2a + 2u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 21u
2
a + 39au + 11u
2
+ 24a + 19u + 26
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
(u
3
− u
2
+ 2u − 1)
2
c
2
(u
3
+ u
2
− 1)
2
c
4
(u
3
− u
2
+ 1)
2
c
5
, c
11
u
6
c
6
(u
3
+ u
2
+ 2u + 1)
2
c
7
, c
8
, c
9
(u
2
− u − 1)
3
c
10
, c
12
(u
2
+ u − 1)
3
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
6
(y
3
+ 3y
2
+ 2y −1)
2
c
2
, c
4
(y
3
− y
2
+ 2y −1)
2
c
5
, c
11
y
6
c
7
, c
8
, c
9
c
10
, c
12
(y
2
− 3y + 1)
3
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.877439 + 0.744862I
a = 0.485107 + 0.807858I
b = −0.67924 + 1.71765I
11.90680 + 2.82812I 7.63548 − 4.05775I
u = −0.877439 + 0.744862I
a = −1.27003 − 2.11500I
b = 0.55668 − 2.46251I
4.01109 + 2.82812I 22.3213 + 9.8050I
u = −0.877439 − 0.744862I
a = 0.485107 − 0.807858I
b = −0.67924 − 1.71765I
11.90680 − 2.82812I 7.63548 + 4.05775I
u = −0.877439 − 0.744862I
a = −1.27003 + 2.11500I
b = 0.55668 + 2.46251I
4.01109 − 2.82812I 22.3213 − 9.8050I
u = 0.754878
a = −0.696013
b = 2.35878
−0.126494 1.08690
u = 0.754878
a = 0.265853
b = −4.11365
7.76919 64.0000
15
III. I
u
3
= h−4a
2
+ b + a − 7, a
3
− a
2
+ 2a − 1, u − 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
1
a
2
=
1
−1
a
1
=
0
−1
a
9
=
a
4a
2
− a + 7
a
10
=
a
4a
2
− 2a + 7
a
4
=
1
0
a
12
=
a
2
3a
2
− a + 3
a
11
=
a
2
2a
2
− a + 3
a
6
=
a
2
+ a − 1
0
a
7
=
a
2
+ a − 1
0
a
8
=
a
2
3a
2
− a + 5
(ii) Obstruction class = 1
(iii) Cusp Shapes = 53a
2
− 32a + 92
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
3
c
3
, c
6
u
3
c
4
(u + 1)
3
c
5
u
3
− 3u
2
+ 2u + 1
c
7
, c
8
u
3
− u
2
+ 1
c
9
u
3
+ u
2
+ 2u + 1
c
10
u
3
+ u
2
− 1
c
11
u
3
+ 3u
2
+ 2u − 1
c
12
u
3
− u
2
+ 2u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y −1)
3
c
3
, c
6
y
3
c
5
, c
11
y
3
− 5y
2
+ 10y −1
c
7
, c
8
, c
10
y
3
− y
2
+ 2y −1
c
9
, c
12
y
3
+ 3y
2
+ 2y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = 0.215080 + 1.307140I
b = 0.135484 + 0.941977I
−4.66906 + 2.82812I −2.98758 − 12.02771I
u = 1.00000
a = 0.215080 − 1.307140I
b = 0.135484 − 0.941977I
−4.66906 − 2.82812I −2.98758 + 12.02771I
u = 1.00000
a = 0.569840
b = 7.72903
−0.531480 90.9750
19
IV. I
u
4
= hb + u + 2, a − 2u − 3, u
2
+ u − 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
u − 1
a
1
=
u
u − 1
a
9
=
2u + 3
−u − 2
a
10
=
2u + 3
−u − 2
a
4
=
u
−u + 1
a
12
=
u
u − 1
a
11
=
u
−u
a
6
=
−2u + 1
3u − 1
a
7
=
−u
u
a
8
=
u + 3
−2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −49
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
2
− 3u + 1
c
2
, c
3
u
2
+ u − 1
c
4
, c
6
u
2
− u − 1
c
5
u
2
+ 3u + 1
c
7
, c
8
(u + 1)
2
c
9
, c
12
u
2
c
10
(u − 1)
2
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
11
y
2
− 7y + 1
c
2
, c
3
, c
4
c
6
y
2
− 3y + 1
c
7
, c
8
, c
10
(y −1)
2
c
9
, c
12
y
2
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.618034
a = 4.23607
b = −2.61803
0.657974 −49.0000
u = −1.61803
a = −0.236068
b = −0.381966
−7.23771 −49.0000
23
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)
3
(u
2
− 3u + 1)(u
3
− u
2
+ 2u − 1)
2
· (u
65
+ 35u
64
+ ··· + 4379u + 1)
c
2
((u − 1)
3
)(u
2
+ u − 1)(u
3
+ u
2
− 1)
2
(u
65
− 7u
64
+ ··· − 61u − 1)
c
3
u
3
(u
2
+ u − 1)(u
3
− u
2
+ 2u − 1)
2
(u
65
− 4u
64
+ ··· − 4u − 8)
c
4
((u + 1)
3
)(u
2
− u − 1)(u
3
− u
2
+ 1)
2
(u
65
− 7u
64
+ ··· − 61u − 1)
c
5
u
6
(u
2
+ 3u + 1)(u
3
− 3u
2
+ 2u + 1)(u
65
− 3u
64
+ ··· + 224u − 64)
c
6
u
3
(u
2
− u − 1)(u
3
+ u
2
+ 2u + 1)
2
(u
65
− 4u
64
+ ··· − 4u − 8)
c
7
, c
8
((u + 1)
2
)(u
2
− u − 1)
3
(u
3
− u
2
+ 1)(u
65
+ 7u
64
+ ··· + 88u − 1)
c
9
u
2
(u
2
− u − 1)
3
(u
3
+ u
2
+ 2u + 1)(u
65
− 5u
64
+ ··· + 4u − 4)
c
10
((u − 1)
2
)(u
2
+ u − 1)
3
(u
3
+ u
2
− 1)(u
65
+ 7u
64
+ ··· + 88u − 1)
c
11
u
6
(u
2
− 3u + 1)(u
3
+ 3u
2
+ 2u − 1)(u
65
− 3u
64
+ ··· + 224u − 64)
c
12
u
2
(u
2
+ u − 1)
3
(u
3
− u
2
+ 2u − 1)(u
65
− 5u
64
+ ··· + 4u − 4)
24
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)
3
(y
2
− 7y + 1)(y
3
+ 3y
2
+ 2y −1)
2
· (y
65
− 3y
64
+ ··· + 19078099y −1)
c
2
, c
4
(y −1)
3
(y
2
− 3y + 1)(y
3
− y
2
+ 2y −1)
2
· (y
65
− 35y
64
+ ··· + 4379y −1)
c
3
, c
6
y
3
(y
2
− 3y + 1)(y
3
+ 3y
2
+ 2y −1)
2
(y
65
+ 24y
64
+ ··· + 7056y −64)
c
5
, c
11
y
6
(y
2
− 7y + 1)(y
3
− 5y
2
+ 10y −1)
· (y
65
− 47y
64
+ ··· + 283648y −4096)
c
7
, c
8
, c
10
(y −1)
2
(y
2
− 3y + 1)
3
(y
3
− y
2
+ 2y −1)
· (y
65
− 55y
64
+ ··· + 6134y −1)
c
9
, c
12
y
2
(y
2
− 3y + 1)
3
(y
3
+ 3y
2
+ 2y −1)(y
65
− 21y
64
+ ··· + 1448y −16)
25
