11a
134
(K11a
134
)
A knot diagram
1
Linearized knot diagam
5 1 9 7 2 11 4 3 8 6 10
Solving Sequence
4,9 1,3
2 8 10 7 5 11 6
c
3
c
2
c
8
c
9
c
7
c
4
c
11
c
6
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2u
27
− 5u
26
+ ··· + b − 5, −5u
27
− 11u
26
+ ··· + 2a − 10, u
28
+ 3u
27
+ ··· + 6u + 2i
I
u
2
= h2u
19
a + 292u
19
+ ··· − 19a + 450, −2u
19
a + u
19
+ ··· − 4a + 1, u
20
− u
19
+ ··· + 2u − 1i
I
u
3
= hu
3
+ b − u − 1, u
3
+ 2u
2
+ 2a − 4, u
4
− 2u
2
+ 2i
I
v
1
= ha, b + 1, v + 1i
* 4 irreducible components of dim
C
= 0, with total 73 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−2u
27
−5u
26
+· · ·+b−5, −5u
27
−11u
26
+· · ·+2a−10, u
28
+3u
27
+· · ·+6u+2i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
5
2
u
27
+
11
2
u
26
+ ··· + 11u + 5
2u
27
+ 5u
26
+ ··· + 11u + 5
a
3
=
1
u
2
a
2
=
−
3
2
u
27
−
7
2
u
26
+ ··· − 7u − 2
−u
27
− 3u
26
+ ··· − 7u − 3
a
8
=
−u
−u
3
+ u
a
10
=
u
3
u
5
− u
3
+ u
a
7
=
−u
3
−u
3
+ u
a
5
=
u
6
− u
4
+ 1
u
6
− 2u
4
+ u
2
a
11
=
3
2
u
27
+
7
2
u
26
+ ··· + 7u + 3
u
27
+ 3u
26
+ ··· + 6u + 3
a
6
=
3
2
u
27
+
7
2
u
26
+ ··· + 7u + 3
−u
27
− 2u
26
+ ··· − 3u − 1
a
6
=
3
2
u
27
+
7
2
u
26
+ ··· + 7u + 3
−u
27
− 2u
26
+ ··· − 3u − 1
(ii) Obstruction class = −1
(iii) Cusp Shapes
= 16u
27
+ 34u
26
− 80u
25
− 254u
24
+ 90u
23
+ 816u
22
+ 388u
21
− 1304u
20
− 1582u
19
+
636u
18
+ 2460u
17
+ 1314u
16
− 1448u
15
− 2534u
14
− 826u
13
+ 1418u
12
+ 1758u
11
+
426u
10
− 722u
9
− 752u
8
− 194u
7
+ 132u
6
+ 96u
5
− 4u
4
+ 10u
3
+ 68u
2
+ 70u + 24
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
c
10
u
28
+ u
27
+ ··· − 5u
2
+ 1
c
2
, c
11
u
28
+ 11u
27
+ ··· + 10u + 1
c
3
, c
8
u
28
− 3u
27
+ ··· − 6u + 2
c
4
, c
7
u
28
− 9u
27
+ ··· − 118u + 14
c
9
u
28
− 15u
27
+ ··· − 4u + 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
6
c
10
y
28
− 11y
27
+ ··· − 10y + 1
c
2
, c
11
y
28
+ 21y
27
+ ··· − 6y + 1
c
3
, c
8
y
28
− 15y
27
+ ··· − 4y + 4
c
4
, c
7
y
28
+ 21y
27
+ ··· + 2092y + 196
c
9
y
28
− 3y
27
+ ··· + 112y + 16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.921184 + 0.300728I
a = 0.870295 − 0.372461I
b = 0.659106 − 0.511462I
1.56197 − 1.13269I 1.72628 + 0.97911I
u = −0.921184 − 0.300728I
a = 0.870295 + 0.372461I
b = 0.659106 + 0.511462I
1.56197 + 1.13269I 1.72628 − 0.97911I
u = −0.879043 + 0.588894I
a = −1.46570 + 0.82867I
b = −0.651267 + 0.638133I
−2.48501 − 9.60327I −7.71691 + 9.77284I
u = −0.879043 − 0.588894I
a = −1.46570 − 0.82867I
b = −0.651267 − 0.638133I
−2.48501 + 9.60327I −7.71691 − 9.77284I
u = −0.644981 + 0.626187I
a = 0.089635 + 0.895732I
b = −0.092830 + 1.067970I
−3.15613 + 4.86238I −9.07167 − 4.07725I
u = −0.644981 − 0.626187I
a = 0.089635 − 0.895732I
b = −0.092830 − 1.067970I
−3.15613 − 4.86238I −9.07167 + 4.07725I
u = 1.099790 + 0.120657I
a = 0.57327 − 1.71129I
b = 0.677548 − 0.714007I
2.55286 + 5.06128I −0.17487 − 6.03485I
u = 1.099790 − 0.120657I
a = 0.57327 + 1.71129I
b = 0.677548 + 0.714007I
2.55286 − 5.06128I −0.17487 + 6.03485I
u = −0.158971 + 0.833066I
a = −0.681108 − 0.773177I
b = −0.64725 + 2.19051I
1.27438 + 10.50480I −6.28570 − 6.88896I
u = −0.158971 − 0.833066I
a = −0.681108 + 0.773177I
b = −0.64725 − 2.19051I
1.27438 − 10.50480I −6.28570 + 6.88896I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.050730 + 0.482260I
a = 0.437094 − 0.465500I
b = 0.469489 + 0.315915I
0.63188 + 4.55606I −2.14668 − 8.40653I
u = 1.050730 − 0.482260I
a = 0.437094 + 0.465500I
b = 0.469489 − 0.315915I
0.63188 − 4.55606I −2.14668 + 8.40653I
u = −0.045051 + 0.816095I
a = 0.601069 + 0.545123I
b = −0.048727 − 1.403620I
4.78070 − 0.80383I −1.62038 + 2.30991I
u = −0.045051 − 0.816095I
a = 0.601069 − 0.545123I
b = −0.048727 + 1.403620I
4.78070 + 0.80383I −1.62038 − 2.30991I
u = −1.083610 + 0.529736I
a = 1.44141 + 0.49547I
b = 1.244770 − 0.462759I
0.11867 − 1.62470I −4.25246 − 1.50082I
u = −1.083610 − 0.529736I
a = 1.44141 − 0.49547I
b = 1.244770 + 0.462759I
0.11867 + 1.62470I −4.25246 + 1.50082I
u = −0.362452 + 0.684626I
a = 0.114239 − 0.531482I
b = −0.940476 − 0.787619I
−1.97520 − 3.04297I −7.88705 + 5.30670I
u = −0.362452 − 0.684626I
a = 0.114239 + 0.531482I
b = −0.940476 + 0.787619I
−1.97520 + 3.04297I −7.88705 − 5.30670I
u = 1.228580 + 0.361628I
a = 1.30002 + 1.89665I
b = −0.70865 + 2.23120I
5.53046 − 6.50130I −1.52112 + 3.99395I
u = 1.228580 − 0.361628I
a = 1.30002 − 1.89665I
b = −0.70865 − 2.23120I
5.53046 + 6.50130I −1.52112 − 3.99395I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.223330 + 0.431243I
a = −0.56938 − 1.41568I
b = 1.03679 − 1.32323I
8.56164 + 5.19775I 1.77174 − 5.54191I
u = 1.223330 − 0.431243I
a = −0.56938 + 1.41568I
b = 1.03679 + 1.32323I
8.56164 − 5.19775I 1.77174 + 5.54191I
u = −1.213290 + 0.476726I
a = 0.99905 − 1.70279I
b = −0.29155 − 2.27808I
8.23527 − 3.85685I 1.62083 + 1.19155I
u = −1.213290 − 0.476726I
a = 0.99905 + 1.70279I
b = −0.29155 + 2.27808I
8.23527 + 3.85685I 1.62083 − 1.19155I
u = −1.200190 + 0.525957I
a = −1.20643 + 2.71163I
b = 1.07784 + 3.13954I
4.3694 − 15.4841I −3.32553 + 9.90334I
u = −1.200190 − 0.525957I
a = −1.20643 − 2.71163I
b = 1.07784 − 3.13954I
4.3694 + 15.4841I −3.32553 − 9.90334I
u = 0.406338 + 0.510758I
a = 0.496544 − 0.118248I
b = −0.284789 + 0.096942I
−1.214540 − 0.443734I −7.11648 + 2.03107I
u = 0.406338 − 0.510758I
a = 0.496544 + 0.118248I
b = −0.284789 − 0.096942I
−1.214540 + 0.443734I −7.11648 − 2.03107I
7
II. I
u
2
= h2u
19
a + 292u
19
+ · · · − 19a + 450, −2u
19
a + u
19
+ · · · − 4a +
1, u
20
− u
19
+ · · · + 2u − 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
a
−0.00496278au
19
− 0.724566u
19
+ ··· + 0.0471464a − 1.11663
a
3
=
1
u
2
a
2
=
0.275434au
19
+ 0.213400u
19
+ ··· + 0.883375a + 0.972705
0.449132au
19
− 0.426799u
19
+ ··· + 0.233251a − 0.945409
a
8
=
−u
−u
3
+ u
a
10
=
u
3
u
5
− u
3
+ u
a
7
=
−u
3
−u
3
+ u
a
5
=
u
6
− u
4
+ 1
u
6
− 2u
4
+ u
2
a
11
=
−0.00496278au
19
+ 0.275434u
19
+ ··· + 1.04715a − 0.116625
0.00496278au
19
− 0.275434u
19
+ ··· − 0.0471464a − 0.883375
a
6
=
−0.00496278au
19
+ 0.275434u
19
+ ··· + 1.04715a − 0.116625
−0.0521092au
19
+ 1.39206u
19
+ ··· − 0.00496278a + 1.27543
a
6
=
−0.00496278au
19
+ 0.275434u
19
+ ··· + 1.04715a − 0.116625
−0.0521092au
19
+ 1.39206u
19
+ ··· − 0.00496278a + 1.27543
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4u
19
− 24u
17
+ 4u
16
+ 64u
15
− 20u
14
− 84u
13
+ 44u
12
+ 36u
11
−
44u
10
+ 44u
9
+ 8u
8
− 60u
7
+ 24u
6
+ 16u
5
− 16u
4
+ 12u
3
− 8u + 2
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
c
10
u
40
+ u
39
+ ··· − 8u − 5
c
2
, c
11
u
40
+ 21u
39
+ ··· + 224u + 25
c
3
, c
8
(u
20
+ u
19
+ ··· − 2u − 1)
2
c
4
, c
7
(u
20
+ 3u
19
+ ··· + 12u + 1)
2
c
9
(u
20
− 11u
19
+ ··· − 2u + 1)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
6
c
10
y
40
− 21y
39
+ ··· − 224y + 25
c
2
, c
11
y
40
− 5y
39
+ ··· + 10824y + 625
c
3
, c
8
(y
20
− 11y
19
+ ··· − 2y + 1)
2
c
4
, c
7
(y
20
+ 17y
19
+ ··· − 62y + 1)
2
c
9
(y
20
− 3y
19
+ ··· − 6y + 1)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.912041 + 0.514968I
a = 1.202430 + 0.262634I
b = 0.790032 + 0.864705I
−0.30488 + 4.84109I −4.36837 − 6.37981I
u = 0.912041 + 0.514968I
a = −0.863351 − 1.079300I
b = −0.211896 − 0.497080I
−0.30488 + 4.84109I −4.36837 − 6.37981I
u = 0.912041 − 0.514968I
a = 1.202430 − 0.262634I
b = 0.790032 − 0.864705I
−0.30488 − 4.84109I −4.36837 + 6.37981I
u = 0.912041 − 0.514968I
a = −0.863351 + 1.079300I
b = −0.211896 + 0.497080I
−0.30488 − 4.84109I −4.36837 + 6.37981I
u = −1.06181
a = 0.56924 + 1.35366I
b = 0.606732 + 0.596965I
3.24334 1.89980
u = −1.06181
a = 0.56924 − 1.35366I
b = 0.606732 − 0.596965I
3.24334 1.89980
u = −0.774874 + 0.460321I
a = −0.561614 + 0.452611I
b = −1.18361 + 1.19079I
−4.54605 − 1.94645I −10.94680 + 4.81876I
u = −0.774874 + 0.460321I
a = −1.46137 + 2.24925I
b = −0.021165 + 1.201370I
−4.54605 − 1.94645I −10.94680 + 4.81876I
u = −0.774874 − 0.460321I
a = −0.561614 − 0.452611I
b = −1.18361 − 1.19079I
−4.54605 + 1.94645I −10.94680 − 4.81876I
u = −0.774874 − 0.460321I
a = −1.46137 − 2.24925I
b = −0.021165 − 1.201370I
−4.54605 + 1.94645I −10.94680 − 4.81876I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113113 + 0.821783I
a = −0.299059 + 0.841825I
b = −0.56052 − 2.00946I
3.49387 − 4.79919I −3.30190 + 3.09464I
u = 0.113113 + 0.821783I
a = 0.772001 − 0.434810I
b = 0.210069 + 1.180080I
3.49387 − 4.79919I −3.30190 + 3.09464I
u = 0.113113 − 0.821783I
a = −0.299059 − 0.841825I
b = −0.56052 + 2.00946I
3.49387 + 4.79919I −3.30190 − 3.09464I
u = 0.113113 − 0.821783I
a = 0.772001 + 0.434810I
b = 0.210069 − 1.180080I
3.49387 + 4.79919I −3.30190 − 3.09464I
u = 1.170970 + 0.421653I
a = 1.23567 − 1.48439I
b = 1.257140 − 0.347565I
1.14846 + 2.14390I −2.54408 − 0.24308I
u = 1.170970 + 0.421653I
a = 1.58784 + 1.85840I
b = −0.32685 + 3.00361I
1.14846 + 2.14390I −2.54408 − 0.24308I
u = 1.170970 − 0.421653I
a = 1.23567 + 1.48439I
b = 1.257140 + 0.347565I
1.14846 − 2.14390I −2.54408 + 0.24308I
u = 1.170970 − 0.421653I
a = 1.58784 − 1.85840I
b = −0.32685 − 3.00361I
1.14846 − 2.14390I −2.54408 + 0.24308I
u = 0.529602 + 0.535861I
a = 0.677079 + 0.411101I
b = −0.172938 + 0.721517I
−1.34713 − 0.58469I −6.79795 + 0.00910I
u = 0.529602 + 0.535861I
a = 0.217669 − 0.460034I
b = −0.330007 − 0.464624I
−1.34713 − 0.58469I −6.79795 + 0.00910I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.529602 − 0.535861I
a = 0.677079 − 0.411101I
b = −0.172938 − 0.721517I
−1.34713 + 0.58469I −6.79795 − 0.00910I
u = 0.529602 − 0.535861I
a = 0.217669 + 0.460034I
b = −0.330007 + 0.464624I
−1.34713 + 0.58469I −6.79795 − 0.00910I
u = 0.733657
a = −0.0310510
b = −1.32411
−2.31303 −1.06120
u = 0.733657
a = 3.26976
b = 1.25419
−2.31303 −1.06120
u = −1.174860 + 0.481002I
a = 1.53410 + 1.25489I
b = 1.46261 + 0.11524I
0.72067 − 6.27316I −3.89985 + 6.54347I
u = −1.174860 + 0.481002I
a = −0.21958 + 2.77549I
b = 2.31326 + 2.48708I
0.72067 − 6.27316I −3.89985 + 6.54347I
u = −1.174860 − 0.481002I
a = 1.53410 − 1.25489I
b = 1.46261 − 0.11524I
0.72067 + 6.27316I −3.89985 − 6.54347I
u = −1.174860 − 0.481002I
a = −0.21958 − 2.77549I
b = 2.31326 − 2.48708I
0.72067 + 6.27316I −3.89985 − 6.54347I
u = −0.092790 + 0.716473I
a = −0.305987 − 0.163469I
b = −1.46800 − 0.22850I
−2.37392 + 1.80448I −7.17537 − 3.70058I
u = −0.092790 + 0.716473I
a = 0.24857 − 1.73836I
b = −0.95298 + 1.64118I
−2.37392 + 1.80448I −7.17537 − 3.70058I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.092790 − 0.716473I
a = −0.305987 + 0.163469I
b = −1.46800 + 0.22850I
−2.37392 − 1.80448I −7.17537 + 3.70058I
u = −0.092790 − 0.716473I
a = 0.24857 + 1.73836I
b = −0.95298 − 1.64118I
−2.37392 − 1.80448I −7.17537 + 3.70058I
u = −1.224930 + 0.393654I
a = −0.512370 + 0.914068I
b = 0.812344 + 0.856039I
7.52808 + 0.63661I 0.960350 + 0.169887I
u = −1.224930 + 0.393654I
a = 1.29904 − 1.92814I
b = −0.59511 − 2.39970I
7.52808 + 0.63661I 0.960350 + 0.169887I
u = −1.224930 − 0.393654I
a = −0.512370 − 0.914068I
b = 0.812344 − 0.856039I
7.52808 − 0.63661I 0.960350 − 0.169887I
u = −1.224930 − 0.393654I
a = 1.29904 + 1.92814I
b = −0.59511 + 2.39970I
7.52808 − 0.63661I 0.960350 − 0.169887I
u = 1.205800 + 0.505812I
a = 0.75323 + 1.60895I
b = −0.32838 + 2.10011I
6.73027 + 9.64430I −0.34532 − 6.20543I
u = 1.205800 + 0.505812I
a = −0.99290 − 2.52542I
b = 1.23423 − 2.75984I
6.73027 + 9.64430I −0.34532 − 6.20543I
u = 1.205800 − 0.505812I
a = 0.75323 − 1.60895I
b = −0.32838 − 2.10011I
6.73027 − 9.64430I −0.34532 + 6.20543I
u = 1.205800 − 0.505812I
a = −0.99290 + 2.52542I
b = 1.23423 + 2.75984I
6.73027 − 9.64430I −0.34532 + 6.20543I
14
III. I
u
3
= hu
3
+ b − u − 1, u
3
+ 2u
2
+ 2a − 4, u
4
− 2u
2
+ 2i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
1
=
−
1
2
u
3
− u
2
+ 2
−u
3
+ u + 1
a
3
=
1
u
2
a
2
=
−
1
2
u
3
− u
2
+ 3
−u
3
+ u
2
+ u + 1
a
8
=
−u
−u
3
+ u
a
10
=
u
3
u
3
− u
a
7
=
−u
3
−u
3
+ u
a
5
=
−1
−u
2
a
11
=
1
2
u
3
− u
2
+ 2
1
a
6
=
−
1
2
u
3
− u
2
+ 2
−u
3
+ u + 1
a
6
=
−
1
2
u
3
− u
2
+ 2
−u
3
+ u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4u
2
− 4
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
6
c
11
(u + 1)
4
c
3
, c
8
u
4
− 2u
2
+ 2
c
4
, c
7
u
4
+ 2u
2
+ 2
c
5
, c
10
(u − 1)
4
c
9
(u
2
− 2u + 2)
2
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
10
, c
11
(y −1)
4
c
3
, c
8
(y
2
− 2y + 2)
2
c
4
, c
7
(y
2
+ 2y + 2)
2
c
9
(y
2
+ 4)
2
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.098680 + 0.455090I
a = 0.67820 − 1.77689I
b = 1.45509 − 1.09868I
−0.82247 + 3.66386I −8.00000 − 4.00000I
u = 1.098680 − 0.455090I
a = 0.67820 + 1.77689I
b = 1.45509 + 1.09868I
−0.82247 − 3.66386I −8.00000 + 4.00000I
u = −1.098680 + 0.455090I
a = 1.321800 + 0.223113I
b = 0.544910 − 1.098680I
−0.82247 − 3.66386I −8.00000 + 4.00000I
u = −1.098680 − 0.455090I
a = 1.321800 − 0.223113I
b = 0.544910 + 1.098680I
−0.82247 + 3.66386I −8.00000 − 4.00000I
18
IV. I
v
1
= ha, b + 1, v + 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
−1
0
a
1
=
0
−1
a
3
=
1
0
a
2
=
1
−1
a
8
=
−1
0
a
10
=
−1
0
a
7
=
−1
0
a
5
=
1
0
a
11
=
−1
−1
a
6
=
0
1
a
6
=
0
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u − 1
c
2
, c
5
, c
10
c
11
u + 1
c
3
, c
4
, c
7
c
8
, c
9
u
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
10
, c
11
y −1
c
3
, c
4
, c
7
c
8
, c
9
y
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = −1.00000
−3.28987 −12.0000
22
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
6
(u − 1)(u + 1)
4
(u
28
+ u
27
+ ··· − 5u
2
+ 1)(u
40
+ u
39
+ ··· − 8u − 5)
c
2
, c
11
((u + 1)
5
)(u
28
+ 11u
27
+ ··· + 10u + 1)(u
40
+ 21u
39
+ ··· + 224u + 25)
c
3
, c
8
u(u
4
− 2u
2
+ 2)(u
20
+ u
19
+ ··· − 2u − 1)
2
(u
28
− 3u
27
+ ··· − 6u + 2)
c
4
, c
7
u(u
4
+ 2u
2
+ 2)(u
20
+ 3u
19
+ ··· + 12u + 1)
2
· (u
28
− 9u
27
+ ··· − 118u + 14)
c
5
, c
10
((u − 1)
4
)(u + 1)(u
28
+ u
27
+ ··· − 5u
2
+ 1)(u
40
+ u
39
+ ··· − 8u − 5)
c
9
u(u
2
− 2u + 2)
2
(u
20
− 11u
19
+ ··· − 2u + 1)
2
· (u
28
− 15u
27
+ ··· − 4u + 4)
23
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
6
c
10
((y −1)
5
)(y
28
− 11y
27
+ ··· − 10y + 1)(y
40
− 21y
39
+ ··· − 224y + 25)
c
2
, c
11
((y −1)
5
)(y
28
+ 21y
27
+ ··· − 6y + 1)(y
40
− 5y
39
+ ··· + 10824y + 625)
c
3
, c
8
y(y
2
− 2y + 2)
2
(y
20
− 11y
19
+ ··· − 2y + 1)
2
· (y
28
− 15y
27
+ ··· − 4y + 4)
c
4
, c
7
y(y
2
+ 2y + 2)
2
(y
20
+ 17y
19
+ ··· − 62y + 1)
2
· (y
28
+ 21y
27
+ ··· + 2092y + 196)
c
9
y(y
2
+ 4)
2
(y
20
− 3y
19
+ ··· − 6y + 1)
2
(y
28
− 3y
27
+ ··· + 112y + 16)
24
