12n
0130
(K12n
0130
)
A knot diagram
1
Linearized knot diagam
3 5 6 2 11 3 10 7 12 8 5 9
Solving Sequence
7,10
8
3,11
6 4 5 12 2 1 9
c
7
c
10
c
6
c
3
c
5
c
11
c
2
c
1
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.76813 × 10
29
u
45
− 2.42336 × 10
30
u
44
+ ··· + 4.57009 × 10
29
b − 9.07426 × 10
29
,
− 3.88039 × 10
29
u
45
+ 2.51360 × 10
30
u
44
+ ··· + 4.57009 × 10
29
a + 2.62337 × 10
30
, u
46
− 7u
45
+ ··· − 4u + 1i
I
u
2
= hb, 3u
8
− 5u
7
− u
6
+ 9u
5
− 6u
4
− 3u
3
+ 10u
2
+ a − 8u + 4, u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1i
I
u
3
= h−a
4
+ 6a
3
− 9a
2
+ b + 8a − 3, a
5
− 6a
4
+ 9a
3
− 8a
2
+ 4a − 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 60 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
= h3.77×10
29
u
45
−2.42×10
30
u
44
+· · ·+4.57×10
29
b−9.07×10
29
, −3.88×
10
29
u
45
+2.51×10
30
u
44
+· · ·+4.57×10
29
a+2.62×10
30
, u
46
−7u
45
+· · ·−4u+1i
(i) Arc colorings
a
7
=
1
0
a
10
=
0
u
a
8
=
1
−u
2
a
3
=
0.849084u
45
− 5.50010u
44
+ ··· + 6.33741u − 5.74030
−0.824518u
45
+ 5.30264u
44
+ ··· + 0.443856u + 1.98557
a
11
=
u
−u
3
+ u
a
6
=
0.894837u
45
− 6.29021u
44
+ ··· + 2.76162u − 0.388790
−0.321679u
45
+ 2.27756u
44
+ ··· − 3.54255u + 1.78782
a
4
=
−0.151962u
45
+ 1.36037u
44
+ ··· + 11.0404u − 2.84289
−1.07500u
45
+ 6.98658u
44
+ ··· + 0.922265u + 2.06759
a
5
=
1.14526u
45
− 7.71445u
44
+ ··· + 3.87163u − 0.363285
−0.210798u
45
+ 1.90057u
44
+ ··· − 3.49688u + 2.14201
a
12
=
−1.24464u
45
+ 8.36097u
44
+ ··· − 6.15963u + 4.76903
−0.0970325u
45
+ 0.230705u
44
+ ··· − 1.32622u − 1.14760
a
2
=
−0.625495u
45
+ 4.50917u
44
+ ··· + 6.85570u − 3.05357
−0.280998u
45
+ 1.72030u
44
+ ··· + 4.29468u + 0.101646
a
1
=
0.760978u
45
− 5.14121u
44
+ ··· + 5.63281u − 3.53294
−0.0351355u
45
+ 0.537169u
44
+ ··· + 1.00892u + 1.13906
a
9
=
−u
2
+ 1
−u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.804859u
45
− 1.44838u
44
+ ··· + 36.2667u − 15.6976
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
46
+ 61u
45
+ ··· + 62504u + 1
c
2
, c
4
u
46
− 11u
45
+ ··· + 260u − 1
c
3
, c
6
u
46
+ 8u
45
+ ··· + 9216u + 512
c
5
, c
11
u
46
− 3u
45
+ ··· + 2u − 1
c
7
, c
10
u
46
+ 7u
45
+ ··· + 4u + 1
c
8
u
46
− 17u
45
+ ··· − 22u + 1
c
9
, c
12
u
46
+ 2u
45
+ ··· − 32u + 32
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
− 141y
45
+ ··· − 3903085204y + 1
c
2
, c
4
y
46
− 61y
45
+ ··· − 62504y + 1
c
3
, c
6
y
46
+ 60y
45
+ ··· − 71827456y + 262144
c
5
, c
11
y
46
− y
45
+ ··· − 32y + 1
c
7
, c
10
y
46
− 17y
45
+ ··· − 22y + 1
c
8
y
46
+ 31y
45
+ ··· + 246y + 1
c
9
, c
12
y
46
+ 36y
45
+ ··· + 8704y + 1024
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.814878 + 0.606452I
a = 0.433990 − 0.140786I
b = −0.472583 + 0.137648I
−2.08149 + 2.37209I 0.76660 − 4.29323I
u = 0.814878 − 0.606452I
a = 0.433990 + 0.140786I
b = −0.472583 − 0.137648I
−2.08149 − 2.37209I 0.76660 + 4.29323I
u = −0.874046
a = 11.2435
b = −0.211525
−0.417366 104.440
u = −1.144360 + 0.047071I
a = 1.135140 + 0.536251I
b = −0.050832 − 0.907635I
0.67146 − 1.37994I −4.76488 + 1.12257I
u = −1.144360 − 0.047071I
a = 1.135140 − 0.536251I
b = −0.050832 + 0.907635I
0.67146 + 1.37994I −4.76488 − 1.12257I
u = 0.843227 + 0.031667I
a = 0.420881 + 0.781766I
b = −0.461740 − 1.101880I
−4.57386 + 4.46577I −14.2933 − 6.3376I
u = 0.843227 − 0.031667I
a = 0.420881 − 0.781766I
b = −0.461740 + 1.101880I
−4.57386 − 4.46577I −14.2933 + 6.3376I
u = 0.826663 + 0.817264I
a = −0.67352 + 1.82579I
b = 0.460674 + 0.701336I
−5.00017 + 2.00257I 2.00000 − 8.95543I
u = 0.826663 − 0.817264I
a = −0.67352 − 1.82579I
b = 0.460674 − 0.701336I
−5.00017 − 2.00257I 2.00000 + 8.95543I
u = −1.113100 + 0.352595I
a = 0.007224 − 0.637262I
b = 0.601579 − 0.034830I
3.69426 − 1.19679I 10.96091 + 0.I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.113100 − 0.352595I
a = 0.007224 + 0.637262I
b = 0.601579 + 0.034830I
3.69426 + 1.19679I 10.96091 + 0.I
u = −0.819753
a = 0.799680
b = −0.0632515
1.19409 8.46120
u = −0.779990 + 0.229445I
a = 2.81222 + 3.37657I
b = −0.084278 + 0.529431I
−0.282269 − 0.067141I −3.72609 + 3.28540I
u = −0.779990 − 0.229445I
a = 2.81222 − 3.37657I
b = −0.084278 − 0.529431I
−0.282269 + 0.067141I −3.72609 − 3.28540I
u = 0.773116 + 0.916562I
a = 0.98201 − 1.48513I
b = −0.21958 − 2.31592I
−6.74889 − 1.48702I 0
u = 0.773116 − 0.916562I
a = 0.98201 + 1.48513I
b = −0.21958 + 2.31592I
−6.74889 + 1.48702I 0
u = −0.896390 + 0.827408I
a = 0.85433 + 1.70162I
b = −0.57354 + 1.89707I
−9.88679 − 7.22887I 0
u = −0.896390 − 0.827408I
a = 0.85433 − 1.70162I
b = −0.57354 − 1.89707I
−9.88679 + 7.22887I 0
u = −0.922092 + 0.823711I
a = −1.29796 − 1.16134I
b = −0.17166 − 1.89876I
−9.81126 + 1.05399I 0
u = −0.922092 − 0.823711I
a = −1.29796 + 1.16134I
b = −0.17166 + 1.89876I
−9.81126 − 1.05399I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.622771 + 0.441733I
a = −0.35659 − 2.46347I
b = −0.120390 − 1.382460I
−1.00247 − 2.85719I −1.18117 + 7.51903I
u = −0.622771 − 0.441733I
a = −0.35659 + 2.46347I
b = −0.120390 + 1.382460I
−1.00247 + 2.85719I −1.18117 − 7.51903I
u = 0.964014 + 0.778863I
a = 0.66372 − 1.28651I
b = 0.201748 − 0.896900I
−4.56947 + 3.99633I 0
u = 0.964014 − 0.778863I
a = 0.66372 + 1.28651I
b = 0.201748 + 0.896900I
−4.56947 − 3.99633I 0
u = 0.342222 + 0.659201I
a = 0.463828 + 0.469807I
b = 0.814960 − 0.187703I
0.00959 − 1.79095I 3.07595 + 1.44696I
u = 0.342222 − 0.659201I
a = 0.463828 − 0.469807I
b = 0.814960 + 0.187703I
0.00959 + 1.79095I 3.07595 − 1.44696I
u = 0.534580 + 1.140310I
a = −0.535482 + 1.204310I
b = −0.85043 + 2.04924I
−16.0716 − 8.0734I 0
u = 0.534580 − 1.140310I
a = −0.535482 − 1.204310I
b = −0.85043 − 2.04924I
−16.0716 + 8.0734I 0
u = 0.517745 + 1.151250I
a = 0.203460 − 1.234010I
b = 0.12527 − 2.07856I
−15.9425 + 0.1123I 0
u = 0.517745 − 1.151250I
a = 0.203460 + 1.234010I
b = 0.12527 + 2.07856I
−15.9425 − 0.1123I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.147030 + 0.542395I
a = −0.049293 + 0.460049I
b = 0.722105 − 0.124793I
2.40464 + 6.60583I 0
u = 1.147030 − 0.542395I
a = −0.049293 − 0.460049I
b = 0.722105 + 0.124793I
2.40464 − 6.60583I 0
u = 0.925590 + 0.893441I
a = −0.577793 − 1.098140I
b = −2.58550 + 0.33210I
−8.83417 + 3.29298I 0
u = 0.925590 − 0.893441I
a = −0.577793 + 1.098140I
b = −2.58550 − 0.33210I
−8.83417 − 3.29298I 0
u = 1.036590 + 0.818046I
a = −1.25167 + 1.21714I
b = 0.36479 + 2.31829I
−5.92831 + 7.90364I 0
u = 1.036590 − 0.818046I
a = −1.25167 − 1.21714I
b = 0.36479 − 2.31829I
−5.92831 − 7.90364I 0
u = 1.22395 + 0.78126I
a = 1.33482 − 1.20924I
b = −1.04750 − 1.85828I
−13.8837 + 14.9590I 0
u = 1.22395 − 0.78126I
a = 1.33482 + 1.20924I
b = −1.04750 + 1.85828I
−13.8837 − 14.9590I 0
u = 1.23972 + 0.77641I
a = −1.33618 + 0.62822I
b = 0.38179 + 1.86130I
−13.6512 + 6.7959I 0
u = 1.23972 − 0.77641I
a = −1.33618 − 0.62822I
b = 0.38179 − 1.86130I
−13.6512 − 6.7959I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.49819 + 0.01098I
a = 0.190759 − 0.578483I
b = −0.37515 + 1.84363I
−8.03047 − 4.15846I 0
u = −1.49819 − 0.01098I
a = 0.190759 + 0.578483I
b = −0.37515 − 1.84363I
−8.03047 + 4.15846I 0
u = 0.289365 + 0.082286I
a = −0.11001 + 1.91260I
b = 0.522176 − 0.667900I
−0.00303 − 1.48232I −0.37531 + 3.95565I
u = 0.289365 − 0.082286I
a = −0.11001 − 1.91260I
b = 0.522176 + 0.667900I
−0.00303 + 1.48232I −0.37531 − 3.95565I
u = −0.154903 + 0.210713I
a = −1.33546 − 1.46982I
b = −1.044520 + 0.254535I
−2.59187 + 0.05584I −4.82458 + 1.57408I
u = −0.154903 − 0.210713I
a = −1.33546 + 1.46982I
b = −1.044520 − 0.254535I
−2.59187 − 0.05584I −4.82458 − 1.57408I
9
II.
I
u
2
= hb, 3u
8
− 5u
7
+ · · · + a + 4, u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1i
(i) Arc colorings
a
7
=
1
0
a
10
=
0
u
a
8
=
1
−u
2
a
3
=
−3u
8
+ 5u
7
+ u
6
− 9u
5
+ 6u
4
+ 3u
3
− 10u
2
+ 8u − 4
0
a
11
=
u
−u
3
+ u
a
6
=
1
0
a
4
=
−3u
8
+ 5u
7
+ u
6
− 9u
5
+ 6u
4
+ 3u
3
− 10u
2
+ 8u − 4
0
a
5
=
u
4
− u
2
+ 1
−u
6
+ 2u
4
− u
2
a
12
=
u
7
− 2u
5
+ 2u
3
−u
8
+ u
7
+ 3u
6
− 2u
5
− 3u
4
+ 2u
3
+ 1
a
2
=
−3u
8
+ 5u
7
+ u
6
− 9u
5
+ 5u
4
+ 3u
3
− 9u
2
+ 8u − 5
u
6
− 2u
4
+ u
2
a
1
=
−u
4
+ u
2
− 1
u
6
− 2u
4
+ u
2
a
9
=
−u
2
+ 1
−u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = −42u
8
+ 74u
7
+ 19u
6
−137u
5
+ 75u
4
+ 54u
3
−135u
2
+ 112u −56
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
9
c
3
, c
6
u
9
c
4
(u + 1)
9
c
5
u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1
c
7
u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1
c
8
u
9
− 5u
8
+ 12u
7
− 15u
6
+ 9u
5
+ u
4
− 4u
3
+ 2u
2
+ u − 1
c
9
u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1
c
10
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1
c
11
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1
c
12
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y −1)
9
c
3
, c
6
y
9
c
5
, c
11
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y −1
c
7
, c
10
y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y −1
c
8
y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y −1
c
9
, c
12
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y −1
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.772920 + 0.510351I
a = −0.920144 − 0.598375I
b = 0
−3.42837 + 2.09337I −5.34027 − 4.50528I
u = 0.772920 − 0.510351I
a = −0.920144 + 0.598375I
b = 0
−3.42837 − 2.09337I −5.34027 + 4.50528I
u = −0.825933
a = −14.5113
b = 0
−0.446489 −205.930
u = −1.173910 + 0.391555I
a = 0.719281 + 0.119276I
b = 0
2.72642 − 1.33617I 1.00050 + 1.13735I
u = −1.173910 − 0.391555I
a = 0.719281 − 0.119276I
b = 0
2.72642 + 1.33617I 1.00050 − 1.13735I
u = 0.141484 + 0.739668I
a = 0.590648 + 0.449402I
b = 0
−1.02799 − 2.45442I −2.30315 + 4.13179I
u = 0.141484 − 0.739668I
a = 0.590648 − 0.449402I
b = 0
−1.02799 + 2.45442I −2.30315 − 4.13179I
u = 1.172470 + 0.500383I
a = 0.365868 − 0.247975I
b = 0
1.95319 + 7.08493I −0.39190 − 10.48669I
u = 1.172470 − 0.500383I
a = 0.365868 + 0.247975I
b = 0
1.95319 − 7.08493I −0.39190 + 10.48669I
13
III. I
u
3
= h−a
4
+ 6a
3
− 9a
2
+ b + 8a − 3, a
5
− 6a
4
+ 9a
3
− 8a
2
+ 4a − 1, u + 1i
(i) Arc colorings
a
7
=
1
0
a
10
=
0
−1
a
8
=
1
−1
a
3
=
a
a
4
− 6a
3
+ 9a
2
− 8a + 3
a
11
=
−1
0
a
6
=
−a + 2
2a
4
− 11a
3
+ 12a
2
− 7a + 1
a
4
=
2a
4
− 12a
3
+ 18a
2
− 14a + 5
a
3
− 5a
2
+ 3a − 1
a
5
=
2a
4
− 11a
3
+ 12a
2
− 8a + 3
2a
4
− 11a
3
+ 12a
2
− 7a + 1
a
12
=
0
3a
4
− 16a
3
+ 15a
2
− 7a + 1
a
2
=
a
3
− 5a
2
+ 5a − 2
2a
4
− 12a
3
+ 17a
2
− 11a + 3
a
1
=
0
3a
4
− 16a
3
+ 15a
2
− 7a + 1
a
9
=
0
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9a
4
+ 48a
3
− 48a
2
+ 32a
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
5
− 5u
4
+ 8u
3
− 3u
2
− u − 1
c
2
u
5
+ u
4
− 2u
3
− u
2
+ u − 1
c
3
u
5
− u
4
+ 2u
3
− u
2
+ u − 1
c
4
u
5
− u
4
− 2u
3
+ u
2
+ u + 1
c
5
u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1
c
6
u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1
c
7
(u + 1)
5
c
8
, c
10
(u − 1)
5
c
9
, c
12
u
5
c
11
u
5
− 3u
4
+ 4u
3
− u
2
− u + 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
5
− 9y
4
+ 32y
3
− 35y
2
− 5y −1
c
2
, c
4
y
5
− 5y
4
+ 8y
3
− 3y
2
− y −1
c
3
, c
6
y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1
c
5
, c
11
y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1
c
7
, c
8
, c
10
(y −1)
5
c
9
, c
12
y
5
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0.313425 + 0.691081I
b = −0.455697 − 1.200150I
−4.22763 + 4.40083I 8.55516 − 1.78781I
u = −1.00000
a = 0.313425 − 0.691081I
b = −0.455697 + 1.200150I
−4.22763 − 4.40083I 8.55516 + 1.78781I
u = −1.00000
a = 0.542256 + 0.333011I
b = 0.339110 − 0.822375I
1.31583 − 1.53058I 8.42731 + 4.45807I
u = −1.00000
a = 0.542256 − 0.333011I
b = 0.339110 + 0.822375I
1.31583 + 1.53058I 8.42731 − 4.45807I
u = −1.00000
a = 4.28864
b = −0.766826
−0.756147 −3.96490
17
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
9
)(u
5
− 5u
4
+ ··· − u − 1)(u
46
+ 61u
45
+ ··· + 62504u + 1)
c
2
((u − 1)
9
)(u
5
+ u
4
+ ··· + u − 1)(u
46
− 11u
45
+ ··· + 260u − 1)
c
3
u
9
(u
5
− u
4
+ ··· + u − 1)(u
46
+ 8u
45
+ ··· + 9216u + 512)
c
4
((u + 1)
9
)(u
5
− u
4
+ ··· + u + 1)(u
46
− 11u
45
+ ··· + 260u − 1)
c
5
(u
5
+ 3u
4
+ 4u
3
+ u
2
− u − 1)
· (u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1)
· (u
46
− 3u
45
+ ··· + 2u − 1)
c
6
u
9
(u
5
+ u
4
+ ··· + u + 1)(u
46
+ 8u
45
+ ··· + 9216u + 512)
c
7
(u + 1)
5
(u
9
− u
8
− 2u
7
+ 3u
6
+ u
5
− 3u
4
+ 2u
3
− u + 1)
· (u
46
+ 7u
45
+ ··· + 4u + 1)
c
8
(u − 1)
5
(u
9
− 5u
8
+ 12u
7
− 15u
6
+ 9u
5
+ u
4
− 4u
3
+ 2u
2
+ u − 1)
· (u
46
− 17u
45
+ ··· − 22u + 1)
c
9
u
5
(u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1)
· (u
46
+ 2u
45
+ ··· − 32u + 32)
c
10
(u − 1)
5
(u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1)
· (u
46
+ 7u
45
+ ··· + 4u + 1)
c
11
(u
5
− 3u
4
+ 4u
3
− u
2
− u + 1)
· (u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
· (u
46
− 3u
45
+ ··· + 2u − 1)
c
12
u
5
(u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1)
· (u
46
+ 2u
45
+ ··· − 32u + 32)
18
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)
9
(y
5
− 9y
4
+ 32y
3
− 35y
2
− 5y −1)
· (y
46
− 141y
45
+ ··· − 3903085204y + 1)
c
2
, c
4
((y −1)
9
)(y
5
− 5y
4
+ ··· − y −1)(y
46
− 61y
45
+ ··· − 62504y + 1)
c
3
, c
6
y
9
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
· (y
46
+ 60y
45
+ ··· − 71827456y + 262144)
c
5
, c
11
(y
5
− y
4
+ 8y
3
− 3y
2
+ 3y −1)
· (y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y −1)
· (y
46
− y
45
+ ··· − 32y + 1)
c
7
, c
10
(y −1)
5
(y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y −1)
· (y
46
− 17y
45
+ ··· − 22y + 1)
c
8
(y −1)
5
(y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y −1)
· (y
46
+ 31y
45
+ ··· + 246y + 1)
c
9
, c
12
y
5
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y −1)
· (y
46
+ 36y
45
+ ··· + 8704y + 1024)
19
