12n
0464
(K12n
0464
)
A knot diagram
1
Linearized knot diagam
3 5 12 10 2 11 4 3 7 5 9 8
Solving Sequence
5,10
11
4,7
6 9 12 3 2 1 8
c
10
c
4
c
6
c
9
c
11
c
3
c
2
c
1
c
8
c
5
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−9u
10
+ 50u
9
− 110u
8
+ 84u
7
+ 135u
6
− 318u
5
+ 249u
4
+ 140u
3
+ 64u
2
+ 356b − 268u + 100,
209u
10
− 1438u
9
+ ··· + 712a + 1396,
u
11
− 8u
10
+ 28u
9
− 48u
8
+ 21u
7
+ 72u
6
− 147u
5
+ 118u
4
− 46u
3
+ 12u
2
+ 4u − 8i
I
u
2
= h−u
13
− 2u
12
+ 7u
11
+ 14u
10
− 18u
9
− 37u
8
+ 18u
7
+ 40u
6
− 3u
4
− 11u
3
− 27u
2
+ 2b + 6u + 16,
− 16u
13
+ 125u
11
+ ··· + 38a − 152, u
14
− 9u
12
+ 33u
10
− 60u
8
+ 48u
6
+ 6u
4
− 37u
2
+ 19i
I
u
3
= h−u
2
a + au + u
2
+ b − u, u
5
a − 3u
4
a + 2u
5
+ 4u
3
a − 9u
4
+ 13u
3
+ 4a
2
+ au − 4u
2
− 8a − 6u − 7,
u
6
− 5u
5
+ 10u
4
− 8u
3
+ u
2
− 2u + 4i
I
v
1
= ha, b
2
+ b + 1, v + 1i
* 4 irreducible components of dim
C
= 0, with total 39 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−9u
10
+ 50u
9
+ · · · + 356b + 100, 209u
10
− 1438u
9
+ · · · + 712a +
1396, u
11
− 8u
10
+ · · · + 4u − 8i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
4
=
u
u
a
7
=
−0.293539u
10
+ 2.01966u
9
+ ··· − 1.18539u − 1.96067
0.0252809u
10
− 0.140449u
9
+ ··· + 0.752809u − 0.280899
a
6
=
0.0351124u
10
− 0.306180u
9
+ ··· + 0.601124u + 0.387640
0.266854u
10
− 1.92697u
9
+ ··· + 2.16854u + 2.14607
a
9
=
−0.144663u
10
+ 0.831461u
9
+ ··· − 0.696629u + 0.162921
−0.325843u
10
+ 1.92135u
9
+ ··· + 0.741573u − 1.15730
a
12
=
0.293539u
10
− 2.01966u
9
+ ··· + 0.185393u + 2.96067
0.328652u
10
− 2.32584u
9
+ ··· + 0.786517u + 2.34831
a
3
=
−0.181180u
10
+ 1.08989u
9
+ ··· + 1.43820u − 1.32022
−0.325843u
10
+ 1.92135u
9
+ ··· + 0.741573u − 1.15730
a
2
=
−0.181180u
10
+ 1.08989u
9
+ ··· + 1.43820u − 1.32022
−0.926966u
10
+ 5.98315u
9
+ ··· + 0.730337u − 4.03371
a
1
=
−0.0561798u
10
− 0.410112u
9
+ ··· + 1.93820u + 0.179775
−0.426966u
10
+ 1.98315u
9
+ ··· + 0.730337u − 1.03371
a
8
=
0.105337u
10
− 0.918539u
9
+ ··· − 0.196629u + 1.16292
0.424157u
10
− 3.07865u
9
+ ··· + 1.74157u + 2.84270
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
925
178
u
10
+
3143
89
u
9
−
9104
89
u
8
+
10784
89
u
7
+
9247
178
u
6
−
29395
89
u
5
+
64099
178
u
4
−
11812
89
u
3
+
2211
89
u
2
−
620
89
u −
3326
89
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
11
− 23u
10
+ ··· + 21u − 1
c
2
, c
5
, c
11
u
11
+ u
10
+ ··· − u − 1
c
3
, c
9
u
11
− u
10
+ 2u
8
+ 2u
7
− 2u
5
+ 4u
4
+ 3u
3
+ u
2
− u − 1
c
4
, c
10
u
11
− 8u
10
+ ··· + 4u − 8
c
6
u
11
+ u
10
+ ··· − 145u − 67
c
7
u
11
+ u
10
+ ··· + 56u + 8
c
8
u
11
− 4u
10
+ ··· − 17u − 8
c
12
u
11
+ 5u
10
+ ··· − 76u − 52
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
11
+ 13y
10
+ ··· + 49y −1
c
2
, c
5
, c
11
y
11
− 23y
10
+ ··· + 21y −1
c
3
, c
9
y
11
− y
10
+ ··· + 3y −1
c
4
, c
10
y
11
− 8y
10
+ ··· + 208y −64
c
6
y
11
+ 31y
10
+ ··· − 35389y −4489
c
7
y
11
− 7y
10
+ ··· + 1792y −64
c
8
y
11
+ 12y
10
+ ··· + 961y −64
c
12
y
11
+ 11y
10
+ ··· + 13056y −2704
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.272490 + 0.288412I
a = −1.145090 + 0.161696I
b = −0.637420 − 0.913219I
−2.97208 − 5.10948I −3.26197 + 5.94709I
u = 1.272490 − 0.288412I
a = −1.145090 − 0.161696I
b = −0.637420 + 0.913219I
−2.97208 + 5.10948I −3.26197 − 5.94709I
u = 1.31836
a = −1.74186
b = −1.15079
−6.32228 −14.5780
u = −0.006189 + 0.618185I
a = 0.454297 − 0.805039I
b = −0.298680 + 0.644156I
0.98614 + 1.71648I 1.51156 − 4.88656I
u = −0.006189 − 0.618185I
a = 0.454297 + 0.805039I
b = −0.298680 − 0.644156I
0.98614 − 1.71648I 1.51156 + 4.88656I
u = −1.43000
a = 1.17850
b = 0.620255
−3.22805 −2.67390
u = −0.399863
a = −0.0959405
b = −0.613457
−1.24652 −9.60770
u = 1.42673 + 1.37332I
a = 0.555878 − 0.153340I
b = 0.957539 − 0.934630I
9.21923 + 1.76238I −4.63285 − 2.25341I
u = 1.42673 − 1.37332I
a = 0.555878 + 0.153340I
b = 0.957539 + 0.934630I
9.21923 − 1.76238I −4.63285 + 2.25341I
u = 1.56272 + 1.31035I
a = 1.214570 − 0.441747I
b = 1.05056 + 0.96763I
8.8572 − 12.5090I −5.18674 + 5.91274I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56272 − 1.31035I
a = 1.214570 + 0.441747I
b = 1.05056 − 0.96763I
8.8572 + 12.5090I −5.18674 − 5.91274I
6
II. I
u
2
= h−u
13
− 2u
12
+ · · · + 2b + 16, −16u
13
+ 125u
11
+ · · · + 38a −
152, u
14
− 9u
12
+ · · · − 37u
2
+ 19i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
4
=
u
u
a
7
=
0.421053u
13
− 3.28947u
11
+ ··· − 7.07895u + 4
1
2
u
13
+ u
12
+ ··· − 3u − 8
a
6
=
8
19
u
13
+
1
2
u
12
+ ··· −
79
38
u − 4
u
13
+
3
2
u
12
+ ··· − 3u −
35
2
a
9
=
33
38
u
13
+
3
2
u
12
+ ··· −
119
38
u − 10
3
2
u
13
+ 2u
12
+ ··· − 10u −
33
2
a
12
=
−0.421053u
13
+ 3.28947u
11
+ ··· + 6.07895u + 5
−
1
2
u
12
+
1
2
u
11
+ ··· + 4u + 8
a
3
=
0.631579u
13
− 0.500000u
12
+ ··· − 6.86842u + 6.50000
3
2
u
13
− 2u
12
+ ··· − 10u +
33
2
a
2
=
0.631579u
13
− 0.500000u
12
+ ··· − 6.86842u + 6.50000
5
2
u
13
−
5
2
u
12
+ ··· − 22u + 26
a
1
=
30
19
u
13
+
1
2
u
12
+ ··· −
312
19
u − 7
5
2
u
13
−
3
2
u
12
+ ··· −
35
2
u + 8
a
8
=
35
38
u
13
+
3
2
u
12
+ ··· −
163
19
u − 15
u
13
+
5
2
u
12
+ ··· −
9
2
u − 27
(ii) Obstruction class = 1
(iii) Cusp Shapes = −3u
12
+ 18u
10
− 37u
8
+ 17u
6
+ 30u
4
− 24u
2
− 16
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
14
− 7u
13
+ ··· + 3u + 1
c
2
u
14
− 3u
13
+ ··· − 3u + 1
c
3
, c
9
u
14
+ 7u
13
+ ··· + 4u + 1
c
4
, c
10
u
14
− 9u
12
+ 33u
10
− 60u
8
+ 48u
6
+ 6u
4
− 37u
2
+ 19
c
5
, c
11
u
14
+ 3u
13
+ ··· + 3u + 1
c
6
u
14
+ 8u
13
+ ··· + 449u + 137
c
7
u
14
+ 5u
12
+ ··· − 8u + 8
c
8
(u
7
− 2u
5
+ u
4
+ u
3
+ u − 1)
2
c
12
u
14
− 4u
12
+ 6u
10
+ 5u
8
− 8u
6
− 15u
4
+ 49u
2
+ 19
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
14
− y
13
+ ··· + 5y + 1
c
2
, c
5
, c
11
y
14
+ 7y
13
+ ··· − 3y + 1
c
3
, c
9
y
14
− 3y
13
+ ··· − 10y + 1
c
4
, c
10
(y
7
− 9y
6
+ 33y
5
− 60y
4
+ 48y
3
+ 6y
2
− 37y + 19)
2
c
6
y
14
− 20y
13
+ ··· − 90357y + 18769
c
7
y
14
+ 10y
13
+ ··· + 448y + 64
c
8
(y
7
− 4y
6
+ 6y
5
− 3y
4
− 3y
3
+ 4y
2
+ y −1)
2
c
12
(y
7
− 4y
6
+ 6y
5
+ 5y
4
− 8y
3
− 15y
2
+ 49y + 19)
2
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.869734I
a = −0.225055 + 0.152531I
b = −0.718860 + 0.558616I
−1.32199 −5.17190
u = − 0.869734I
a = −0.225055 − 0.152531I
b = −0.718860 − 0.558616I
−1.32199 −5.17190
u = −1.100240 + 0.309359I
a = 0.430002 + 1.302590I
b = 0.504604 − 0.512077I
−4.63494 + 5.44459I −7.69561 − 8.32422I
u = −1.100240 − 0.309359I
a = 0.430002 − 1.302590I
b = 0.504604 + 0.512077I
−4.63494 − 5.44459I −7.69561 + 8.32422I
u = 1.100240 + 0.309359I
a = −1.59402 − 0.26059I
b = −1.05779 − 1.16536I
−4.63494 − 5.44459I −7.69561 + 8.32422I
u = 1.100240 − 0.309359I
a = −1.59402 + 0.26059I
b = −1.05779 + 1.16536I
−4.63494 + 5.44459I −7.69561 − 8.32422I
u = −1.266100 + 0.207453I
a = 0.621317 + 0.689999I
b = 0.695772 − 0.312580I
−5.47716 − 2.46971I −8.53877 + 0.63512I
u = −1.266100 − 0.207453I
a = 0.621317 − 0.689999I
b = 0.695772 + 0.312580I
−5.47716 + 2.46971I −8.53877 − 0.63512I
u = 1.266100 + 0.207453I
a = −1.294320 + 0.392263I
b = −1.11920 + 0.89289I
−5.47716 + 2.46971I −8.53877 − 0.63512I
u = 1.266100 − 0.207453I
a = −1.294320 − 0.392263I
b = −1.11920 − 0.89289I
−5.47716 − 2.46971I −8.53877 + 0.63512I
10
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50572 + 0.25250I
a = −1.53985 − 0.28019I
b = −0.518967 + 0.078684I
−6.49871 + 4.55112I 0.32033 + 2.72283I
u = −1.50572 − 0.25250I
a = −1.53985 + 0.28019I
b = −0.518967 − 0.078684I
−6.49871 − 4.55112I 0.32033 − 2.72283I
u = 1.50572 + 0.25250I
a = −1.398080 − 0.188533I
b = −1.28556 − 1.10250I
−6.49871 − 4.55112I 0.32033 − 2.72283I
u = 1.50572 − 0.25250I
a = −1.398080 + 0.188533I
b = −1.28556 + 1.10250I
−6.49871 + 4.55112I 0.32033 + 2.72283I
11
III. I
u
3
=
h−u
2
a+au+u
2
+b−u, u
5
a+2u
5
+· · ·−8a−7, u
6
−5u
5
+10u
4
−8u
3
+u
2
−2u+4i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
4
=
u
u
a
7
=
a
u
2
a − au − u
2
+ u
a
6
=
−au − u
2
+ a + u
−u
3
a − u
4
+ u
2
a + u
3
− au − u
2
+ u
a
9
=
1
2
u
5
a −
3
4
u
5
+ ··· − a + 2
u
5
a −
3
2
u
5
+ ··· − 2a + 3
a
12
=
1
4
u
5
−
3
4
u
4
+ u
3
+ a −
3
4
u − 1
1
2
u
5
−
3
2
u
4
+ 2u
3
+ au −
3
2
u − 1
a
3
=
−
1
2
u
5
a −
1
4
u
5
+ ··· + a +
1
2
−u
5
a + 3u
4
a − u
5
− 3u
3
a + 4u
4
− 6u
3
+ u
2
+ 2a + u + 3
a
2
=
−
1
2
u
5
a −
1
4
u
5
+ ··· + a +
1
2
−2u
5
a + 8u
4
a − u
5
− 10u
3
a + 3u
4
+ u
2
a − 5u
3
+ u
2
+ 6a + 2u + 3
a
1
=
−u
5
a +
3
4
u
5
+ ··· − 2a + 1
−3u
4
a +
1
2
u
5
+ ··· − 4a + 1
a
8
=
u
4
a − u
3
a − u
4
− u
2
a + u
3
+ a
u
4
a − u
3
a − u
4
+ u
3
− au − u
2
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes = 11u
5
− 41u
4
+ 56u
3
− 10u
2
− 12u − 38
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
12
− 10u
11
+ ··· + 23u + 1
c
2
, c
5
, c
11
u
12
− 5u
10
+ ··· − 3u + 1
c
3
, c
9
u
12
− 2u
11
+ ··· − 6u + 1
c
4
, c
10
(u
6
− 5u
5
+ 10u
4
− 8u
3
+ u
2
− 2u + 4)
2
c
6
u
12
+ 7u
11
+ ··· − 841u + 683
c
7
u
12
− 3u
11
+ ··· + 184u + 83
c
8
(u
6
+ 2u
5
+ 7u
4
+ u
3
+ 5u
2
+ 1)
2
c
12
(u
6
− 2u
5
+ 6u
4
− 2u
3
+ 10u
2
− 2u + 5)
2
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
12
+ 22y
11
+ ··· + 635y + 1
c
2
, c
5
, c
11
y
12
− 10y
11
+ ··· + 23y + 1
c
3
, c
9
y
12
− 2y
11
+ ··· − 10y + 1
c
4
, c
10
(y
6
− 5y
5
+ 22y
4
− 56y
3
+ 49y
2
+ 4y + 16)
2
c
6
y
12
+ 5y
11
+ ··· + 483871y + 466489
c
7
y
12
− 11y
11
+ ··· − 9288y + 6889
c
8
(y
6
+ 10y
5
+ 55y
4
+ 71y
3
+ 39y
2
+ 10y + 1)
2
c
12
(y
6
+ 8y
5
+ 48y
4
+ 118y
3
+ 152y
2
+ 96y + 25)
2
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.416505 + 0.576021I
a = 1.267250 + 0.372963I
b = 0.462791 − 0.185881I
−0.82381 + 1.88495I −3.85860 − 4.25494I
u = −0.416505 + 0.576021I
a = 0.341182 − 0.466302I
b = −0.662439 + 0.575225I
−0.82381 + 1.88495I −3.85860 − 4.25494I
u = −0.416505 − 0.576021I
a = 1.267250 − 0.372963I
b = 0.462791 + 0.185881I
−0.82381 − 1.88495I −3.85860 + 4.25494I
u = −0.416505 − 0.576021I
a = 0.341182 + 0.466302I
b = −0.662439 − 0.575225I
−0.82381 − 1.88495I −3.85860 + 4.25494I
u = 1.44321 + 0.21109I
a = −1.46241 − 0.27942I
b = −1.35407 − 1.14684I
−6.77592 − 4.75667I −18.9940 + 11.0912I
u = 1.44321 + 0.21109I
a = 1.89212 − 0.31592I
b = 0.656685 + 0.167255I
−6.77592 − 4.75667I −18.9940 + 11.0912I
u = 1.44321 − 0.21109I
a = −1.46241 + 0.27942I
b = −1.35407 + 1.14684I
−6.77592 + 4.75667I −18.9940 − 11.0912I
u = 1.44321 − 0.21109I
a = 1.89212 + 0.31592I
b = 0.656685 − 0.167255I
−6.77592 + 4.75667I −18.9940 − 11.0912I
u = 1.47330 + 1.24522I
a = 1.222760 − 0.470970I
b = 0.951529 + 0.941807I
9.24467 − 5.12766I −4.64737 + 2.37505I
u = 1.47330 + 1.24522I
a = 0.489110 − 0.210227I
b = 0.94550 − 1.05898I
9.24467 − 5.12766I −4.64737 + 2.37505I
15
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.47330 − 1.24522I
a = 1.222760 + 0.470970I
b = 0.951529 − 0.941807I
9.24467 + 5.12766I −4.64737 − 2.37505I
u = 1.47330 − 1.24522I
a = 0.489110 + 0.210227I
b = 0.94550 + 1.05898I
9.24467 + 5.12766I −4.64737 − 2.37505I
16
IV. I
v
1
= ha, b
2
+ b + 1, v + 1i
(i) Arc colorings
a
5
=
−1
0
a
10
=
1
0
a
11
=
1
0
a
4
=
−1
0
a
7
=
0
b
a
6
=
b
b
a
9
=
1
b + 1
a
12
=
−b
−b
a
3
=
−b − 2
−b − 1
a
2
=
−1
−b − 1
a
1
=
−b
−b
a
8
=
b
b
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8b − 4
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
c
11
u
2
− u + 1
c
2
, c
3
, c
7
c
8
, c
9
u
2
+ u + 1
c
4
, c
10
, c
12
u
2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
6
, c
7
c
8
, c
9
, c
11
y
2
+ y + 1
c
4
, c
10
, c
12
y
2
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = −0.500000 + 0.866025I
4.05977I 0. − 6.92820I
v = −1.00000
a = 0
b = −0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
20
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)(u
11
− 23u
10
+ ··· + 21u − 1)(u
12
− 10u
11
+ ··· + 23u + 1)
· (u
14
− 7u
13
+ ··· + 3u + 1)
c
2
(u
2
+ u + 1)(u
11
+ u
10
+ ··· − u − 1)(u
12
− 5u
10
+ ··· − 3u + 1)
· (u
14
− 3u
13
+ ··· − 3u + 1)
c
3
, c
9
(u
2
+ u + 1)(u
11
− u
10
+ 2u
8
+ 2u
7
− 2u
5
+ 4u
4
+ 3u
3
+ u
2
− u − 1)
· (u
12
− 2u
11
+ ··· − 6u + 1)(u
14
+ 7u
13
+ ··· + 4u + 1)
c
4
, c
10
u
2
(u
6
− 5u
5
+ ··· − 2u + 4)
2
(u
11
− 8u
10
+ ··· + 4u − 8)
· (u
14
− 9u
12
+ 33u
10
− 60u
8
+ 48u
6
+ 6u
4
− 37u
2
+ 19)
c
5
, c
11
(u
2
− u + 1)(u
11
+ u
10
+ ··· − u − 1)(u
12
− 5u
10
+ ··· − 3u + 1)
· (u
14
+ 3u
13
+ ··· + 3u + 1)
c
6
(u
2
− u + 1)(u
11
+ u
10
+ ··· − 145u − 67)(u
12
+ 7u
11
+ ··· − 841u + 683)
· (u
14
+ 8u
13
+ ··· + 449u + 137)
c
7
(u
2
+ u + 1)(u
11
+ u
10
+ ··· + 56u + 8)(u
12
− 3u
11
+ ··· + 184u + 83)
· (u
14
+ 5u
12
+ ··· − 8u + 8)
c
8
(u
2
+ u + 1)(u
6
+ 2u
5
+ 7u
4
+ u
3
+ 5u
2
+ 1)
2
· ((u
7
− 2u
5
+ u
4
+ u
3
+ u − 1)
2
)(u
11
− 4u
10
+ ··· − 17u − 8)
c
12
u
2
(u
6
− 2u
5
+ 6u
4
− 2u
3
+ 10u
2
− 2u + 5)
2
· (u
11
+ 5u
10
+ ··· − 76u − 52)
· (u
14
− 4u
12
+ 6u
10
+ 5u
8
− 8u
6
− 15u
4
+ 49u
2
+ 19)
21
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)(y
11
+ 13y
10
+ ··· + 49y −1)(y
12
+ 22y
11
+ ··· + 635y + 1)
· (y
14
− y
13
+ ··· + 5y + 1)
c
2
, c
5
, c
11
(y
2
+ y + 1)(y
11
− 23y
10
+ ··· + 21y −1)(y
12
− 10y
11
+ ··· + 23y + 1)
· (y
14
+ 7y
13
+ ··· − 3y + 1)
c
3
, c
9
(y
2
+ y + 1)(y
11
− y
10
+ ··· + 3y −1)(y
12
− 2y
11
+ ··· − 10y + 1)
· (y
14
− 3y
13
+ ··· − 10y + 1)
c
4
, c
10
y
2
(y
6
− 5y
5
+ 22y
4
− 56y
3
+ 49y
2
+ 4y + 16)
2
· (y
7
− 9y
6
+ 33y
5
− 60y
4
+ 48y
3
+ 6y
2
− 37y + 19)
2
· (y
11
− 8y
10
+ ··· + 208y −64)
c
6
(y
2
+ y + 1)(y
11
+ 31y
10
+ ··· − 35389y −4489)
· (y
12
+ 5y
11
+ ··· + 483871y + 466489)
· (y
14
− 20y
13
+ ··· − 90357y + 18769)
c
7
(y
2
+ y + 1)(y
11
− 7y
10
+ ··· + 1792y −64)
· (y
12
− 11y
11
+ ··· − 9288y + 6889)(y
14
+ 10y
13
+ ··· + 448y + 64)
c
8
(y
2
+ y + 1)(y
6
+ 10y
5
+ 55y
4
+ 71y
3
+ 39y
2
+ 10y + 1)
2
· (y
7
− 4y
6
+ 6y
5
− 3y
4
− 3y
3
+ 4y
2
+ y −1)
2
· (y
11
+ 12y
10
+ ··· + 961y −64)
c
12
y
2
(y
6
+ 8y
5
+ 48y
4
+ 118y
3
+ 152y
2
+ 96y + 25)
2
· (y
7
− 4y
6
+ 6y
5
+ 5y
4
− 8y
3
− 15y
2
+ 49y + 19)
2
· (y
11
+ 11y
10
+ ··· + 13056y −2704)
22
