12n
0354
(K12n
0354
)
A knot diagram
1
Linearized knot diagam
3 5 7 10 2 12 1 4 5 9 6 4
Solving Sequence
3,5
2 6
1,10
4 9 11 12 7 8
c
2
c
5
c
1
c
4
c
9
c
10
c
12
c
6
c
7
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2802u
15
+ 14984u
14
+ ··· + 11339b + 32255, a − 1,
u
16
+ 4u
14
+ 16u
12
+ u
11
+ 33u
10
+ 4u
9
+ 45u
8
+ 7u
7
+ 38u
6
+ 7u
5
+ 21u
4
+ 5u
3
+ 7u
2
+ u + 1i
I
u
2
= h−2u
4
− u
3
+ b − 2u + 2, a + 1, u
5
+ u
4
+ u
3
+ 2u
2
+ u + 1i
I
u
3
= hb − 1, −2u
13
− u
12
− 6u
11
− u
10
− 10u
9
− u
8
− 10u
7
+ 2u
6
− 7u
5
− u
4
− 4u
3
− u
2
+ a + u − 1,
u
14
+ 4u
12
− u
11
+ 9u
10
− 3u
9
+ 13u
8
− 6u
7
+ 14u
6
− 6u
5
+ 11u
4
− 4u
3
+ 5u
2
− u + 1i
I
u
4
= hb + 1, −6956823038u
13
− 6026687311u
12
+ ··· + 24816265351a + 168071313931,
u
14
− 4u
12
+ u
11
+ 15u
10
− 3u
9
− 29u
8
+ 8u
7
+ 20u
6
− 14u
5
+ u
4
+ 14u
3
+ 11u
2
− 39u + 19i
* 4 irreducible components of dim
C
= 0, with total 49 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−2802u
15
+ 14984u
14
+ · · ·+11339b+32255, a −1, u
16
+ 4u
14
+ · · ·+u+1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
6
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
1
0.247112u
15
− 1.32146u
14
+ ··· − 4.78958u − 2.84461
a
4
=
−u
1.32146u
15
+ 0.0903960u
14
+ ··· + 4.09172u + 0.247112
a
9
=
1
0.247112u
15
− 1.32146u
14
+ ··· − 4.78958u − 2.84461
a
11
=
u
2
+ 1
0.156716u
15
− 0.695299u
14
+ ··· − 3.71523u − 1.52315
a
12
=
−0.232560u
15
+ 0.391393u
14
+ ··· + 0.538584u + 1.69530
−0.0796367u
15
− 0.619102u
14
+ ··· − 3.33548u − 1.21924
a
7
=
0.327807u
15
+ 0.339095u
14
+ ··· + 2.63674u − 0.399859
0.233618u
15
+ 0.650057u
14
+ ··· + 3.55225u + 1.53021
a
8
=
−u
4
− u
2
− 1
−0.0145515u
15
+ 0.930064u
14
+ ··· + 4.25099u + 2.14931
(ii) Obstruction class = −1
(iii) Cusp Shapes =
20605
11339
u
15
+
3850
11339
u
14
+ ··· +
224602
11339
u +
37351
11339
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
16
+ 8u
15
+ ··· + 13u + 1
c
2
, c
4
, c
5
c
9
u
16
+ 4u
14
+ ··· − u + 1
c
3
u
16
+ 5u
15
+ ··· + 8u + 3
c
6
, c
11
, c
12
u
16
+ u
15
+ ··· + 2u + 1
c
7
u
16
− u
15
+ ··· + 14u + 17
c
8
u
16
+ 7u
14
+ ··· + 13u + 5
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
16
+ 32y
15
+ ··· − 7y + 1
c
2
, c
4
, c
5
c
9
y
16
+ 8y
15
+ ··· + 13y + 1
c
3
y
16
+ 3y
15
+ ··· + 104y + 9
c
6
, c
11
, c
12
y
16
− 23y
15
+ ··· − 22y + 1
c
7
y
16
+ 27y
15
+ ··· + 2796y + 289
c
8
y
16
+ 14y
15
+ ··· + 471y + 25
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.530810 + 0.923327I
a = 1.00000
b = 0.789890 − 0.248067I
2.22282 − 4.13785I 5.34445 + 5.61520I
u = −0.530810 − 0.923327I
a = 1.00000
b = 0.789890 + 0.248067I
2.22282 + 4.13785I 5.34445 − 5.61520I
u = −0.176444 + 0.912663I
a = 1.00000
b = −0.297414 + 0.728074I
−1.53095 − 4.35219I −2.44817 + 6.95568I
u = −0.176444 − 0.912663I
a = 1.00000
b = −0.297414 − 0.728074I
−1.53095 + 4.35219I −2.44817 − 6.95568I
u = 0.525355 + 0.730919I
a = 1.00000
b = 1.71220 − 0.54617I
3.44631 + 4.47005I 6.86692 − 8.13679I
u = 0.525355 − 0.730919I
a = 1.00000
b = 1.71220 + 0.54617I
3.44631 − 4.47005I 6.86692 + 8.13679I
u = 0.462163 + 1.026620I
a = 1.00000
b = 2.11062 + 1.16455I
−2.50069 + 6.26666I −4.16993 − 5.19035I
u = 0.462163 − 1.026620I
a = 1.00000
b = 2.11062 − 1.16455I
−2.50069 − 6.26666I −4.16993 + 5.19035I
u = −0.370346 + 0.499709I
a = 1.00000
b = 0.423006 − 0.797373I
0.645184 − 1.116330I 5.05748 + 5.63154I
u = −0.370346 − 0.499709I
a = 1.00000
b = 0.423006 + 0.797373I
0.645184 + 1.116330I 5.05748 − 5.63154I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.031146 + 0.558234I
a = 1.00000
b = −0.50534 − 1.74362I
0.85013 − 1.38875I 2.96618 + 5.31348I
u = 0.031146 − 0.558234I
a = 1.00000
b = −0.50534 + 1.74362I
0.85013 + 1.38875I 2.96618 − 5.31348I
u = −1.04563 + 1.32610I
a = 1.00000
b = 2.17161 − 0.76132I
17.5809 − 5.0556I 3.38038 + 2.00245I
u = −1.04563 − 1.32610I
a = 1.00000
b = 2.17161 + 0.76132I
17.5809 + 5.0556I 3.38038 − 2.00245I
u = 1.10456 + 1.28859I
a = 1.00000
b = 2.09543 + 0.79872I
17.9422 + 13.0054I 3.50269 − 5.71450I
u = 1.10456 − 1.28859I
a = 1.00000
b = 2.09543 − 0.79872I
17.9422 − 13.0054I 3.50269 + 5.71450I
6
II. I
u
2
= h−2u
4
− u
3
+ b − 2u + 2, a + 1, u
5
+ u
4
+ u
3
+ 2u
2
+ u + 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
6
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
−1
2u
4
+ u
3
+ 2u − 2
a
4
=
−u
−u
4
− 2u
3
− 2u
2
− 3u − 2
a
9
=
−1
2u
4
+ u
3
− u
2
+ 2u − 2
a
11
=
−u
2
− 1
−2u
2
+ u − 1
a
12
=
0
u
4
+ u
a
7
=
u
u
4
+ u
3
+ u
2
+ 2u
a
8
=
−u
4
− u
2
− 1
u
4
+ u
3
+ 2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 5u
4
− 4u
2
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
5
− u
4
− u
3
+ 4u
2
− 3u + 1
c
2
, c
4
u
5
+ u
4
+ u
3
+ 2u
2
+ u + 1
c
3
u
5
+ 4u
4
+ 8u
3
+ 9u
2
+ 6u + 1
c
5
, c
9
u
5
− u
4
+ u
3
− 2u
2
+ u − 1
c
6
, c
12
u
5
+ 2u
4
− u
3
− 2u
2
+ 1
c
7
u
5
+ 2u
4
+ 2u
3
+ 3u
2
+ 2u + 1
c
8
u
5
− 5u
4
+ 6u
3
− 3u
2
+ u − 1
c
10
u
5
+ u
4
− u
3
− 4u
2
− 3u − 1
c
11
u
5
− 2u
4
− u
3
+ 2u
2
− 1
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
5
− 3y
4
+ 3y
3
− 8y
2
+ y −1
c
2
, c
4
, c
5
c
9
y
5
+ y
4
− y
3
− 4y
2
− 3y −1
c
3
y
5
+ 4y
3
+ 7y
2
+ 18y −1
c
6
, c
11
, c
12
y
5
− 6y
4
+ 9y
3
− 8y
2
+ 4y −1
c
7
y
5
− 4y
3
− 5y
2
− 2y −1
c
8
y
5
− 13y
4
+ 8y
3
− 7y
2
− 5y −1
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.428550 + 1.039280I
a = −1.00000
b = −2.43253 − 1.66541I
−1.91329 + 6.77491I 3.63648 − 11.54818I
u = 0.428550 − 1.039280I
a = −1.00000
b = −2.43253 + 1.66541I
−1.91329 − 6.77491I 3.63648 + 11.54818I
u = −0.276511 + 0.728237I
a = −1.00000
b = −2.04663 + 1.96846I
0.789751 + 0.607163I 2.03451 + 3.43880I
u = −0.276511 − 0.728237I
a = −1.00000
b = −2.04663 − 1.96846I
0.789751 − 0.607163I 2.03451 − 3.43880I
u = −1.30408
a = −1.00000
b = −1.04169
5.53695 7.65800
10
III. I
u
3
= hb − 1, −2u
13
− u
12
+ · · · + a − 1, u
14
+ 4u
12
+ · · · − u + 1i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
6
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
2u
13
+ u
12
+ ··· − u + 1
1
a
4
=
−3u
13
− u
12
+ ··· − 5u − 1
−u
13
+ 2u
12
+ ··· − 2u + 2
a
9
=
2u
13
+ u
12
+ ··· − u + 1
−2u
13
− u
12
+ ··· − 2u
2
− u
a
11
=
4u
13
+ u
12
+ ··· + 6u + 2
u
13
+ 3u
11
+ ··· + 2u − 2
a
12
=
4u
13
+ u
12
+ ··· + 6u + 3
u
13
+ 3u
11
+ ··· + 2u − 1
a
7
=
2u
13
− 2u
12
+ ··· + 9u − 5
−u
13
− 3u
11
+ u
10
− 5u
9
+ 2u
8
− 5u
7
+ 3u
6
− 4u
5
+ u
4
− 2u
3
+ u
a
8
=
u
13
− 2u
12
+ ··· + 5u − 4
−u
13
− u
12
+ ··· + 3u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 3u
13
+5u
12
+13u
11
+17u
10
+25u
9
+35u
8
+30u
7
+40u
6
+19u
5
+38u
4
+10u
3
+25u
2
+14
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
14
− 8u
13
+ ··· − 9u + 1
c
2
, c
4
u
14
+ 4u
12
+ ··· − u + 1
c
3
(u
7
− 2u
6
+ 2u
5
− u
3
+ 2u
2
− 2u + 1)
2
c
5
, c
9
u
14
+ 4u
12
+ ··· + u + 1
c
6
, c
12
u
14
− u
13
+ ··· + 2u + 1
c
7
u
14
− 3u
13
+ ··· − 2u + 1
c
8
u
14
+ 3u
13
+ ··· + 3u + 1
c
10
u
14
+ 8u
13
+ ··· + 9u + 1
c
11
u
14
+ u
13
+ ··· − 2u + 1
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
14
+ 4y
13
+ ··· − 3y + 1
c
2
, c
4
, c
5
c
9
y
14
+ 8y
13
+ ··· + 9y + 1
c
3
(y
7
+ 2y
5
− 3y
3
− 1)
2
c
6
, c
11
, c
12
y
14
− 11y
13
+ ··· − 6y + 1
c
7
y
14
+ 11y
13
+ ··· + 2y + 1
c
8
y
14
+ 3y
13
+ ··· + 17y + 1
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.716205 + 0.619830I
a = 1.162750 + 0.669843I
b = 1.00000
0.78568 + 5.00992I 1.33595 − 7.33845I
u = 0.716205 − 0.619830I
a = 1.162750 − 0.669843I
b = 1.00000
0.78568 − 5.00992I 1.33595 + 7.33845I
u = −0.369492 + 1.060950I
a = −0.460474 + 0.495574I
b = 1.00000
−0.54326 − 3.38801I 4.33219 + 2.61481I
u = −0.369492 − 1.060950I
a = −0.460474 − 0.495574I
b = 1.00000
−0.54326 + 3.38801I 4.33219 − 2.61481I
u = −0.764704 + 0.855799I
a = 0.405506 − 0.437590I
b = 1.00000
3.53615 − 2.90027I 8.22879 + 2.19158I
u = −0.764704 − 0.855799I
a = 0.405506 + 0.437590I
b = 1.00000
3.53615 + 2.90027I 8.22879 − 2.19158I
u = 0.544331 + 1.111970I
a = 0.613385 + 0.789784I
b = 1.00000
−0.977413 − 61.206125 + 0.10I
u = 0.544331 − 1.111970I
a = 0.613385 − 0.789784I
b = 1.00000
−0.977413 − 61.206125 + 0.10I
u = 0.355639 + 0.671652I
a = −1.00622 − 1.08291I
b = 1.00000
−0.54326 − 3.38801I 4.33219 + 2.61481I
u = 0.355639 − 0.671652I
a = −1.00622 + 1.08291I
b = 1.00000
−0.54326 + 3.38801I 4.33219 − 2.61481I
14
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.417581 + 1.200450I
a = 0.645728 + 0.371994I
b = 1.00000
0.78568 − 5.00992I 1.33595 + 7.33845I
u = −0.417581 − 1.200450I
a = 0.645728 − 0.371994I
b = 1.00000
0.78568 + 5.00992I 1.33595 − 7.33845I
u = −0.064397 + 0.681658I
a = 1.13932 − 1.22946I
b = 1.00000
3.53615 + 2.90027I 8.22879 − 2.19158I
u = −0.064397 − 0.681658I
a = 1.13932 + 1.22946I
b = 1.00000
3.53615 − 2.90027I 8.22879 + 2.19158I
15
IV. I
u
4
= hb + 1, −6.96 × 10
9
u
13
− 6.03 × 10
9
u
12
+ · · · + 2.48 × 10
10
a +
1.68 × 10
11
, u
14
− 4u
12
+ · · · − 39u + 19i
(i) Arc colorings
a
3
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
6
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
0.280333u
13
+ 0.242852u
12
+ ··· + 5.54317u − 6.77263
−1
a
4
=
0.478511u
13
+ 0.441369u
12
+ ··· + 9.82537u − 9.15179
0.242852u
13
+ 0.188871u
12
+ ··· + 5.16037u − 5.32633
a
9
=
0.280333u
13
+ 0.242852u
12
+ ··· + 5.54317u − 6.77263
0.188871u
13
+ 0.159671u
12
+ ··· + 4.14491u − 5.61419
a
11
=
0.763211u
13
+ 0.779348u
12
+ ··· + 15.9697u − 14.4864
1.00101u
13
+ 1.01426u
12
+ ··· + 21.2588u − 20.2851
a
12
=
0.258216u
13
+ 0.268552u
12
+ ··· + 5.23924u − 4.53134
0.00898172u
13
+ 0.00732707u
12
+ ··· + 0.202185u − 0.624964
a
7
=
0.120478u
13
− 0.0275435u
12
+ ··· + 3.40920u − 4.59752
0.201962u
13
+ 0.166300u
12
+ ··· + 4.28888u − 4.08455
a
8
=
−0.945722u
13
− 1.19104u
12
+ ··· − 19.0444u + 13.6134
−0.375642u
13
− 0.447550u
12
+ ··· − 7.86413u + 6.35879
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
210581923
1306119229
u
13
−
357801343
1306119229
u
12
+ ··· −
6208012118
1306119229
u +
4609135372
1306119229
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
u
14
− 8u
13
+ ··· − 1103u + 361
c
2
, c
4
, c
5
c
9
u
14
− 4u
12
+ ··· + 39u + 19
c
3
(u
7
− 2u
6
+ 2u
5
+ u
3
− 2u
2
+ 2u − 1)
2
c
6
, c
11
, c
12
u
14
− u
13
+ ··· + 724u + 253
c
7
u
14
− 3u
13
+ ··· + 350u + 67
c
8
u
14
− 3u
13
+ ··· − 210483u + 186979
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
y
14
+ 28y
13
+ ··· − 313387y + 130321
c
2
, c
4
, c
5
c
9
y
14
− 8y
13
+ ··· − 1103y + 361
c
3
(y
7
+ 6y
5
+ 5y
3
− 1)
2
c
6
, c
11
, c
12
y
14
− 35y
13
+ ··· + 300098y + 64009
c
7
y
14
+ 31y
13
+ ··· + 16994y + 4489
c
8
y
14
+ 103y
13
+ ··· − 64089585027y + 34961146441
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.264475 + 0.932556I
a = −0.851114 − 0.524981I
b = −1.00000
−3.35276 −6.16157 + 0.I
u = 0.264475 − 0.932556I
a = −0.851114 + 0.524981I
b = −1.00000
−3.35276 −6.16157 + 0.I
u = −0.700991 + 0.805619I
a = −0.335282 − 0.709899I
b = −1.00000
0.20654 − 2.41511I 3.04885 + 3.06912I
u = −0.700991 − 0.805619I
a = −0.335282 + 0.709899I
b = −1.00000
0.20654 + 2.41511I 3.04885 − 3.06912I
u = 1.081060 + 0.175049I
a = −1.261400 + 0.473225I
b = −1.00000
5.81224 − 1.32363I 10.31577 + 4.85297I
u = 1.081060 − 0.175049I
a = −1.261400 − 0.473225I
b = −1.00000
5.81224 + 1.32363I 10.31577 − 4.85297I
u = 0.806938 + 0.227524I
a = −0.543961 + 1.151740I
b = −1.00000
0.20654 − 2.41511I 3.04885 + 3.06912I
u = 0.806938 − 0.227524I
a = −0.543961 − 1.151740I
b = −1.00000
0.20654 + 2.41511I 3.04885 − 3.06912I
u = −1.44648 + 0.29078I
a = −0.694959 − 0.260721I
b = −1.00000
5.81224 − 1.32363I 10.31577 + 4.85297I
u = −1.44648 − 0.29078I
a = −0.694959 + 0.260721I
b = −1.00000
5.81224 + 1.32363I 10.31577 − 4.85297I
19
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36551 + 1.07736I
a = −0.201428 − 1.007520I
b = −1.00000
18.6867 − 3.8928I 4.21617 + 1.99955I
u = −1.36551 − 1.07736I
a = −0.201428 + 1.007520I
b = −1.00000
18.6867 + 3.8928I 4.21617 − 1.99955I
u = 1.36052 + 1.15877I
a = −0.190806 + 0.954389I
b = −1.00000
18.6867 − 3.8928I 4.21617 + 1.99955I
u = 1.36052 − 1.15877I
a = −0.190806 − 0.954389I
b = −1.00000
18.6867 + 3.8928I 4.21617 − 1.99955I
20
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
5
− u
4
− u
3
+ 4u
2
− 3u + 1)(u
14
− 8u
13
+ ··· − 9u + 1)
· (u
14
− 8u
13
+ ··· − 1103u + 361)(u
16
+ 8u
15
+ ··· + 13u + 1)
c
2
, c
4
(u
5
+ u
4
+ u
3
+ 2u
2
+ u + 1)(u
14
− 4u
12
+ ··· + 39u + 19)
· (u
14
+ 4u
12
+ ··· − u + 1)(u
16
+ 4u
14
+ ··· − u + 1)
c
3
(u
5
+ 4u
4
+ 8u
3
+ 9u
2
+ 6u + 1)(u
7
− 2u
6
+ 2u
5
− u
3
+ 2u
2
− 2u + 1)
2
· ((u
7
− 2u
6
+ 2u
5
+ u
3
− 2u
2
+ 2u − 1)
2
)(u
16
+ 5u
15
+ ··· + 8u + 3)
c
5
, c
9
(u
5
− u
4
+ u
3
− 2u
2
+ u − 1)(u
14
− 4u
12
+ ··· + 39u + 19)
· (u
14
+ 4u
12
+ ··· + u + 1)(u
16
+ 4u
14
+ ··· − u + 1)
c
6
, c
12
(u
5
+ 2u
4
− u
3
− 2u
2
+ 1)(u
14
− u
13
+ ··· + 724u + 253)
· (u
14
− u
13
+ ··· + 2u + 1)(u
16
+ u
15
+ ··· + 2u + 1)
c
7
(u
5
+ 2u
4
+ 2u
3
+ 3u
2
+ 2u + 1)(u
14
− 3u
13
+ ··· − 2u + 1)
· (u
14
− 3u
13
+ ··· + 350u + 67)(u
16
− u
15
+ ··· + 14u + 17)
c
8
(u
5
− 5u
4
+ 6u
3
− 3u
2
+ u − 1)(u
14
− 3u
13
+ ··· − 210483u + 186979)
· (u
14
+ 3u
13
+ ··· + 3u + 1)(u
16
+ 7u
14
+ ··· + 13u + 5)
c
10
(u
5
+ u
4
− u
3
− 4u
2
− 3u − 1)(u
14
− 8u
13
+ ··· − 1103u + 361)
· (u
14
+ 8u
13
+ ··· + 9u + 1)(u
16
+ 8u
15
+ ··· + 13u + 1)
c
11
(u
5
− 2u
4
− u
3
+ 2u
2
− 1)(u
14
− u
13
+ ··· + 724u + 253)
· (u
14
+ u
13
+ ··· − 2u + 1)(u
16
+ u
15
+ ··· + 2u + 1)
21
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
10
(y
5
− 3y
4
+ 3y
3
− 8y
2
+ y −1)(y
14
+ 4y
13
+ ··· − 3y + 1)
· (y
14
+ 28y
13
+ ··· − 313387y + 130321)(y
16
+ 32y
15
+ ··· − 7y + 1)
c
2
, c
4
, c
5
c
9
(y
5
+ y
4
− y
3
− 4y
2
− 3y −1)(y
14
− 8y
13
+ ··· − 1103y + 361)
· (y
14
+ 8y
13
+ ··· + 9y + 1)(y
16
+ 8y
15
+ ··· + 13y + 1)
c
3
(y
5
+ 4y
3
+ ··· + 18y −1)(y
7
+ 2y
5
− 3y
3
− 1)
2
(y
7
+ 6y
5
+ 5y
3
− 1)
2
· (y
16
+ 3y
15
+ ··· + 104y + 9)
c
6
, c
11
, c
12
(y
5
− 6y
4
+ 9y
3
− 8y
2
+ 4y −1)(y
14
− 35y
13
+ ··· + 300098y + 64009)
· (y
14
− 11y
13
+ ··· − 6y + 1)(y
16
− 23y
15
+ ··· − 22y + 1)
c
7
(y
5
− 4y
3
− 5y
2
− 2y −1)(y
14
+ 11y
13
+ ··· + 2y + 1)
· (y
14
+ 31y
13
+ ··· + 16994y + 4489)
· (y
16
+ 27y
15
+ ··· + 2796y + 289)
c
8
(y
5
− 13y
4
+ 8y
3
− 7y
2
− 5y −1)(y
14
+ 3y
13
+ ··· + 17y + 1)
· (y
14
+ 103y
13
+ ··· − 64089585027y + 34961146441)
· (y
16
+ 14y
15
+ ··· + 471y + 25)
22
