12n
0405
(K12n
0405
)
A knot diagram
1
Linearized knot diagam
3 6 11 8 2 12 3 6 7 4 10 9
Solving Sequence
3,11 4,7
8 5 10 12 6 2 1 9
c
3
c
7
c
4
c
10
c
11
c
6
c
2
c
1
c
9
c
5
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.04740 × 10
30
u
55
− 2.66361 × 10
30
u
54
+ ··· + 5.37736 × 10
30
b − 1.62190 × 10
31
,
− 1.29311 × 10
31
u
55
− 2.08861 × 10
29
u
54
+ ··· + 1.07547 × 10
31
a + 7.57948 × 10
31
, u
56
+ u
55
+ ··· + 11u + 1i
I
u
2
= h−u
18
− 5u
16
+ ··· + b − 1, −39u
19
− 13u
18
+ ··· + 46a − 113, u
20
+ 5u
18
+ ··· + 3u + 1i
* 2 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−5.05×10
30
u
55
−2.66×10
30
u
54
+· · ·+5.38×10
30
b−1.62×10
31
, −1.29×
10
31
u
55
−2.09×10
29
u
54
+· · ·+1.08×10
31
a+7.58×10
31
, u
56
+u
55
+· · ·+11u+1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
7
=
1.20236u
55
+ 0.0194204u
54
+ ··· + 2.12491u − 7.04759
0.938638u
55
+ 0.495339u
54
+ ··· + 12.7233u + 3.01616
a
8
=
0.263723u
55
− 0.475918u
54
+ ··· − 10.5984u − 10.0637
0.938638u
55
+ 0.495339u
54
+ ··· + 12.7233u + 3.01616
a
5
=
−1.47729u
55
− 2.00842u
54
+ ··· − 77.8992u − 24.8854
1.30201u
55
+ 0.374284u
54
+ ··· + 17.0385u + 5.14052
a
10
=
u
u
3
+ u
a
12
=
u
3
u
5
+ u
3
+ u
a
6
=
1.26914u
55
− 0.0878330u
54
+ ··· + 2.68555u − 7.01937
0.932246u
55
+ 0.339280u
54
+ ··· + 7.82652u + 2.41420
a
2
=
−0.0113393u
55
+ 0.701676u
54
+ ··· + 33.7128u + 17.2063
−0.985020u
55
+ 0.0619797u
54
+ ··· − 14.0951u − 4.29081
a
1
=
−0.996359u
55
+ 0.763656u
54
+ ··· + 19.6177u + 12.9155
−0.985020u
55
+ 0.0619797u
54
+ ··· − 14.0951u − 4.29081
a
9
=
−0.673812u
55
+ 1.74584u
54
+ ··· + 30.9969u + 11.4293
−1.53887u
55
− 0.462506u
54
+ ··· − 10.8493u − 3.21916
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.20118u
55
− 1.25466u
54
+ ··· − 55.5550u − 11.0853
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
56
+ 81u
55
+ ··· − 82u + 1
c
2
, c
5
u
56
+ 3u
55
+ ··· + 20u − 1
c
3
, c
10
u
56
+ u
55
+ ··· + 11u + 1
c
4
u
56
− u
55
+ ··· − 5248u − 1021
c
6
u
56
− 2u
55
+ ··· + 74u + 127
c
7
u
56
− u
55
+ ··· + 211173u − 7921
c
8
u
56
+ 10u
55
+ ··· + 155830u + 215404
c
9
u
56
+ 16u
55
+ ··· + 815u + 53
c
11
u
56
− 23u
55
+ ··· + 43u + 1
c
12
u
56
− 9u
55
+ ··· − 735411u − 85511
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
56
− 201y
55
+ ··· − 18994y + 1
c
2
, c
5
y
56
− 81y
55
+ ··· + 82y + 1
c
3
, c
10
y
56
+ 23y
55
+ ··· − 43y + 1
c
4
y
56
− 97y
55
+ ··· + 134121594y + 1042441
c
6
y
56
+ 14y
55
+ ··· + 197216y + 16129
c
7
y
56
− 59y
55
+ ··· + 2248587717y + 62742241
c
8
y
56
− 106y
55
+ ··· − 2285891007612y + 46398883216
c
9
y
56
+ 12y
55
+ ··· − 7449y + 2809
c
11
y
56
+ 27y
55
+ ··· − 3871y + 1
c
12
y
56
− 45y
55
+ ··· − 1207444021181y + 7312131121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.692976 + 0.741456I
a = 0.83415 − 2.68568I
b = 2.82225 − 1.87057I
−13.01880 − 0.11658I −13.39749 + 0.26224I
u = 0.692976 − 0.741456I
a = 0.83415 + 2.68568I
b = 2.82225 + 1.87057I
−13.01880 + 0.11658I −13.39749 − 0.26224I
u = −0.888534 + 0.493154I
a = 0.787487 + 0.456037I
b = 0.828874 + 0.814475I
−4.23499 − 0.34965I −13.31370 + 0.I
u = −0.888534 − 0.493154I
a = 0.787487 − 0.456037I
b = 0.828874 − 0.814475I
−4.23499 + 0.34965I −13.31370 + 0.I
u = −0.633685 + 0.804537I
a = 2.26499 + 1.02925I
b = 1.64637 − 1.29628I
−2.67621 + 0.18944I −11.22703 − 1.60949I
u = −0.633685 − 0.804537I
a = 2.26499 − 1.02925I
b = 1.64637 + 1.29628I
−2.67621 − 0.18944I −11.22703 + 1.60949I
u = −0.633438 + 0.738930I
a = 1.67728 − 0.91484I
b = 1.368790 + 0.135930I
−12.20520 + 0.71501I −16.2418 + 1.0323I
u = −0.633438 − 0.738930I
a = 1.67728 + 0.91484I
b = 1.368790 − 0.135930I
−12.20520 − 0.71501I −16.2418 − 1.0323I
u = 0.858766 + 0.568486I
a = 1.39718 − 0.43816I
b = 1.51683 + 0.16349I
−4.83444 + 3.81788I −12.17523 − 2.36589I
u = 0.858766 − 0.568486I
a = 1.39718 + 0.43816I
b = 1.51683 − 0.16349I
−4.83444 − 3.81788I −12.17523 + 2.36589I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.636578 + 0.817575I
a = −0.793907 + 0.325846I
b = −0.824038 + 0.535982I
−3.51130 − 0.72418I −12.99804 − 0.44886I
u = 0.636578 − 0.817575I
a = −0.793907 − 0.325846I
b = −0.824038 − 0.535982I
−3.51130 + 0.72418I −12.99804 + 0.44886I
u = 0.104993 + 1.060980I
a = 0.053924 + 0.614830I
b = 0.345359 − 0.952663I
3.62265 + 0.91650I − 60.912924 + 0.10I
u = 0.104993 − 1.060980I
a = 0.053924 − 0.614830I
b = 0.345359 + 0.952663I
3.62265 − 0.91650I − 60.912924 + 0.10I
u = −0.047680 + 0.929101I
a = 2.35142 − 0.07585I
b = −0.959476 + 0.938322I
−8.23805 + 0.54981I −5.62601 + 0.13195I
u = −0.047680 − 0.929101I
a = 2.35142 + 0.07585I
b = −0.959476 − 0.938322I
−8.23805 − 0.54981I −5.62601 − 0.13195I
u = 0.639057 + 0.870621I
a = 1.25596 − 0.86121I
b = 0.544969 + 0.721077I
−3.35127 − 4.26074I −12.1347 + 7.9623I
u = 0.639057 − 0.870621I
a = 1.25596 + 0.86121I
b = 0.544969 − 0.721077I
−3.35127 + 4.26074I −12.1347 − 7.9623I
u = −0.622311 + 0.676205I
a = −1.52391 + 0.07731I
b = −0.701853 + 0.906118I
−1.41377 + 1.41882I −7.66827 − 2.37637I
u = −0.622311 − 0.676205I
a = −1.52391 − 0.07731I
b = −0.701853 − 0.906118I
−1.41377 − 1.41882I −7.66827 + 2.37637I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.002470 + 0.434054I
a = −0.995062 − 0.161033I
b = −1.65678 − 0.10063I
−14.5702 − 3.5038I −12.90961 + 3.29634I
u = 1.002470 − 0.434054I
a = −0.995062 + 0.161033I
b = −1.65678 + 0.10063I
−14.5702 + 3.5038I −12.90961 − 3.29634I
u = −0.934670 + 0.567956I
a = −1.31747 − 1.19240I
b = −1.95969 − 1.15142I
−15.5375 − 8.7539I −11.13073 + 3.10208I
u = −0.934670 − 0.567956I
a = −1.31747 + 1.19240I
b = −1.95969 + 1.15142I
−15.5375 + 8.7539I −11.13073 − 3.10208I
u = −0.631753 + 0.901368I
a = −1.02898 − 1.61492I
b = −2.09741 − 0.75187I
−2.37070 + 4.76407I −10.20100 − 5.68692I
u = −0.631753 − 0.901368I
a = −1.02898 + 1.61492I
b = −2.09741 + 0.75187I
−2.37070 − 4.76407I −10.20100 + 5.68692I
u = −0.204920 + 1.113530I
a = 0.265324 + 0.432938I
b = 0.0303195 + 0.0315283I
2.10184 + 2.44163I −6.00000 − 6.66179I
u = −0.204920 − 1.113530I
a = 0.265324 − 0.432938I
b = 0.0303195 − 0.0315283I
2.10184 − 2.44163I −6.00000 + 6.66179I
u = −0.637975 + 0.945501I
a = −0.49971 − 2.41919I
b = −1.051990 + 0.178832I
−11.56320 + 4.27962I 0
u = −0.637975 − 0.945501I
a = −0.49971 + 2.41919I
b = −1.051990 − 0.178832I
−11.56320 − 4.27962I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.628401 + 0.578258I
a = −1.49132 + 0.91673I
b = −0.663752 + 0.368778I
−0.88901 + 2.15046I −6.68954 − 4.21266I
u = 0.628401 − 0.578258I
a = −1.49132 − 0.91673I
b = −0.663752 − 0.368778I
−0.88901 − 2.15046I −6.68954 + 4.21266I
u = −0.617638 + 0.982030I
a = 0.453503 + 0.970711I
b = 1.147700 + 0.399179I
−0.48219 + 3.48780I 0
u = −0.617638 − 0.982030I
a = 0.453503 − 0.970711I
b = 1.147700 − 0.399179I
−0.48219 − 3.48780I 0
u = 0.674791 + 0.947519I
a = −2.87088 + 0.86323I
b = −2.20281 − 2.50210I
−12.39390 − 5.16219I 0
u = 0.674791 − 0.947519I
a = −2.87088 − 0.86323I
b = −2.20281 + 2.50210I
−12.39390 + 5.16219I 0
u = −0.205795 + 0.791172I
a = −0.622285 − 0.611724I
b = −1.082330 − 0.398478I
0.118397 − 0.860000I −3.74291 + 1.06399I
u = −0.205795 − 0.791172I
a = −0.622285 + 0.611724I
b = −1.082330 + 0.398478I
0.118397 + 0.860000I −3.74291 − 1.06399I
u = 0.622297 + 1.014000I
a = 1.75434 − 0.58914I
b = 0.968744 + 0.647144I
0.37205 − 7.12007I 0
u = 0.622297 − 1.014000I
a = 1.75434 + 0.58914I
b = 0.968744 − 0.647144I
0.37205 + 7.12007I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.693949 + 1.070290I
a = −0.98029 + 1.20357I
b = −1.74189 − 0.24768I
−3.32079 − 9.58196I 0
u = 0.693949 − 1.070290I
a = −0.98029 − 1.20357I
b = −1.74189 + 0.24768I
−3.32079 + 9.58196I 0
u = −0.137699 + 1.273350I
a = 0.353439 + 0.379773I
b = −0.460194 − 0.278269I
2.02092 + 2.34731I 0
u = −0.137699 − 1.273350I
a = 0.353439 − 0.379773I
b = −0.460194 + 0.278269I
2.02092 − 2.34731I 0
u = 0.105350 + 1.287810I
a = −0.735406 − 0.340219I
b = 1.31301 + 0.75117I
−8.24037 − 6.79326I 0
u = 0.105350 − 1.287810I
a = −0.735406 + 0.340219I
b = 1.31301 − 0.75117I
−8.24037 + 6.79326I 0
u = −0.684933 + 1.102170I
a = −1.35653 − 0.57109I
b = −0.746484 + 1.007420I
−2.41411 + 6.13994I 0
u = −0.684933 − 1.102170I
a = −1.35653 + 0.57109I
b = −0.746484 − 1.007420I
−2.41411 − 6.13994I 0
u = −0.720000 + 1.106020I
a = 1.91793 + 1.16363I
b = 1.89543 − 1.46698I
−13.8786 + 14.8239I 0
u = −0.720000 − 1.106020I
a = 1.91793 − 1.16363I
b = 1.89543 + 1.46698I
−13.8786 − 14.8239I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.705581 + 1.210660I
a = 0.274806 − 1.197140I
b = 1.40944 + 0.27613I
−12.19060 − 2.71913I 0
u = 0.705581 − 1.210660I
a = 0.274806 + 1.197140I
b = 1.40944 − 0.27613I
−12.19060 + 2.71913I 0
u = 0.001183 + 0.423530I
a = −2.64102 + 1.15828I
b = 0.087714 + 0.372288I
−0.61644 + 1.72204I −1.75056 − 4.93921I
u = 0.001183 − 0.423530I
a = −2.64102 − 1.15828I
b = 0.087714 − 0.372288I
−0.61644 − 1.72204I −1.75056 + 4.93921I
u = −0.403232
a = −0.866892
b = −0.486409
−0.901459 −10.8820
u = −0.127485
a = −7.70303
b = 1.93220
−11.0448 −6.10820
10
II. I
u
2
= h−u
18
− 5u
16
+ · · · + b − 1, −39u
19
− 13u
18
+ · · · + 46a − 113, u
20
+
5u
18
+ · · · + 3u + 1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
7
=
0.847826u
19
+ 0.282609u
18
+ ··· + 4.73913u + 2.45652
u
18
+ 5u
16
+ ··· + 2u + 1
a
8
=
0.847826u
19
− 0.717391u
18
+ ··· + 2.73913u + 1.45652
u
18
+ 5u
16
+ ··· + 2u + 1
a
5
=
1.43478u
19
+ 0.478261u
18
+ ··· + 4.17391u + 2.69565
−0.543478u
19
− 0.847826u
18
+ ··· − 3.21739u − 0.369565
a
10
=
u
u
3
+ u
a
12
=
u
3
u
5
+ u
3
+ u
a
6
=
0.956522u
19
− 0.347826u
18
+ ··· + 3.78261u + 2.13043
0.543478u
19
+ 0.847826u
18
+ ··· + 2.21739u + 1.36957
a
2
=
0.152174u
19
+ 0.717391u
18
+ ··· − 1.73913u − 0.456522
0.239130u
19
+ 0.413043u
18
+ ··· + 0.695652u − 0.717391
a
1
=
0.391304u
19
+ 1.13043u
18
+ ··· − 1.04348u − 1.17391
0.239130u
19
+ 0.413043u
18
+ ··· + 0.695652u − 0.717391
a
9
=
−0.847826u
19
− 0.282609u
18
+ ··· − 2.73913u − 1.45652
−0.478261u
19
− 0.826087u
18
+ ··· − 2.39130u − 0.565217
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
83
23
u
19
+
3
23
u
18
+ ··· −
47
23
u −
303
23
11
(iv) u-Polynomials at the component
12
Crossings u-Polynomials at each crossing
c
1
u
20
− 22u
19
+ ··· + 4u + 1
c
2
u
20
+ 2u
19
+ ··· − 2u + 1
c
3
u
20
+ 5u
18
+ ··· + 3u + 1
c
4
u
20
+ 2u
19
+ ··· − 6u + 1
c
5
u
20
− 2u
19
+ ··· + 2u + 1
c
6
u
20
− u
19
+ ··· − 4u + 1
c
7
u
20
− 6u
18
+ ··· + 3u + 1
c
8
u
20
+ 17u
19
+ ··· + 50u + 4
c
9
u
20
− 3u
19
+ ··· − u + 1
c
10
u
20
+ 5u
18
+ ··· − 3u + 1
c
11
u
20
− 10u
19
+ ··· + u + 1
c
12
u
20
− 4u
19
+ ··· − u + 1
13
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
20
− 38y
19
+ ··· + 52y + 1
c
2
, c
5
y
20
− 22y
19
+ ··· + 4y + 1
c
3
, c
10
y
20
+ 10y
19
+ ··· − y + 1
c
4
y
20
− 14y
19
+ ··· + 16y + 1
c
6
y
20
+ y
19
+ ··· − 6y + 1
c
7
y
20
− 12y
19
+ ··· − 13y + 1
c
8
y
20
− 19y
19
+ ··· + 116y + 16
c
9
y
20
− 5y
19
+ ··· − 3y + 1
c
11
y
20
+ 6y
19
+ ··· − y + 1
c
12
y
20
− 6y
19
+ ··· + y + 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.772905 + 0.572344I
a = −0.933396 + 0.819549I
b = −0.558966 + 0.337682I
−2.53009 + 3.40174I −9.63788 − 3.26819I
u = 0.772905 − 0.572344I
a = −0.933396 − 0.819549I
b = −0.558966 − 0.337682I
−2.53009 − 3.40174I −9.63788 + 3.26819I
u = −0.682482 + 0.838468I
a = −0.785516 + 0.464945I
b = 0.280995 + 1.364070I
−2.91107 + 2.63432I −11.73829 − 3.12601I
u = −0.682482 − 0.838468I
a = −0.785516 − 0.464945I
b = 0.280995 − 1.364070I
−2.91107 − 2.63432I −11.73829 + 3.12601I
u = 0.543169 + 0.723200I
a = −1.49908 − 0.05473I
b = −1.86935 + 0.36653I
−11.45610 − 1.22236I −7.56344 + 4.92814I
u = 0.543169 − 0.723200I
a = −1.49908 + 0.05473I
b = −1.86935 − 0.36653I
−11.45610 + 1.22236I −7.56344 − 4.92814I
u = 0.027604 + 1.145960I
a = 0.355295 + 0.352119I
b = 0.039743 − 0.812092I
3.09023 + 2.06934I −1.83260 − 4.32383I
u = 0.027604 − 1.145960I
a = 0.355295 − 0.352119I
b = 0.039743 + 0.812092I
3.09023 − 2.06934I −1.83260 + 4.32383I
u = −0.526421 + 0.638893I
a = 2.08640 + 0.90796I
b = 1.255500 − 0.036319I
−1.43115 − 0.91050I −9.59211 + 0.13114I
u = −0.526421 − 0.638893I
a = 2.08640 − 0.90796I
b = 1.255500 + 0.036319I
−1.43115 + 0.91050I −9.59211 − 0.13114I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.576682 + 1.026770I
a = 0.29109 − 1.79167I
b = 1.38675 + 0.49499I
−10.43120 − 3.28196I −7.53074 + 2.63481I
u = 0.576682 − 1.026770I
a = 0.29109 + 1.79167I
b = 1.38675 − 0.49499I
−10.43120 + 3.28196I −7.53074 − 2.63481I
u = −0.592965 + 1.023500I
a = −1.51004 − 1.14114I
b = −1.28416 + 0.60245I
−0.16184 + 5.53204I −6.48670 − 5.34088I
u = −0.592965 − 1.023500I
a = −1.51004 + 1.14114I
b = −1.28416 − 0.60245I
−0.16184 − 5.53204I −6.48670 + 5.34088I
u = 0.665803 + 1.049490I
a = 1.347780 − 0.248069I
b = 0.788455 + 0.595065I
−1.11207 − 8.86087I −7.07964 + 7.75800I
u = 0.665803 − 1.049490I
a = 1.347780 + 0.248069I
b = 0.788455 − 0.595065I
−1.11207 + 8.86087I −7.07964 − 7.75800I
u = −0.308242 + 1.258580I
a = 0.342355 + 0.291715I
b = −0.437264 − 0.521691I
2.09543 + 1.81889I −7.16687 + 6.15815I
u = −0.308242 − 1.258580I
a = 0.342355 − 0.291715I
b = −0.437264 + 0.521691I
2.09543 − 1.81889I −7.16687 − 6.15815I
u = −0.476054 + 0.151252I
a = 0.30510 + 1.45204I
b = 0.398299 − 0.057590I
−1.47105 + 1.58070I −12.37174 − 3.24876I
u = −0.476054 − 0.151252I
a = 0.30510 − 1.45204I
b = 0.398299 + 0.057590I
−1.47105 − 1.58070I −12.37174 + 3.24876I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 22u
19
+ ··· + 4u + 1)(u
56
+ 81u
55
+ ··· − 82u + 1)
c
2
(u
20
+ 2u
19
+ ··· − 2u + 1)(u
56
+ 3u
55
+ ··· + 20u − 1)
c
3
(u
20
+ 5u
18
+ ··· + 3u + 1)(u
56
+ u
55
+ ··· + 11u + 1)
c
4
(u
20
+ 2u
19
+ ··· − 6u + 1)(u
56
− u
55
+ ··· − 5248u − 1021)
c
5
(u
20
− 2u
19
+ ··· + 2u + 1)(u
56
+ 3u
55
+ ··· + 20u − 1)
c
6
(u
20
− u
19
+ ··· − 4u + 1)(u
56
− 2u
55
+ ··· + 74u + 127)
c
7
(u
20
− 6u
18
+ ··· + 3u + 1)(u
56
− u
55
+ ··· + 211173u − 7921)
c
8
(u
20
+ 17u
19
+ ··· + 50u + 4)(u
56
+ 10u
55
+ ··· + 155830u + 215404)
c
9
(u
20
− 3u
19
+ ··· − u + 1)(u
56
+ 16u
55
+ ··· + 815u + 53)
c
10
(u
20
+ 5u
18
+ ··· − 3u + 1)(u
56
+ u
55
+ ··· + 11u + 1)
c
11
(u
20
− 10u
19
+ ··· + u + 1)(u
56
− 23u
55
+ ··· + 43u + 1)
c
12
(u
20
− 4u
19
+ ··· − u + 1)(u
56
− 9u
55
+ ··· − 735411u − 85511)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
20
− 38y
19
+ ··· + 52y + 1)(y
56
− 201y
55
+ ··· − 18994y + 1)
c
2
, c
5
(y
20
− 22y
19
+ ··· + 4y + 1)(y
56
− 81y
55
+ ··· + 82y + 1)
c
3
, c
10
(y
20
+ 10y
19
+ ··· − y + 1)(y
56
+ 23y
55
+ ··· − 43y + 1)
c
4
(y
20
− 14y
19
+ ··· + 16y + 1)
· (y
56
− 97y
55
+ ··· + 134121594y + 1042441)
c
6
(y
20
+ y
19
+ ··· − 6y + 1)(y
56
+ 14y
55
+ ··· + 197216y + 16129)
c
7
(y
20
− 12y
19
+ ··· − 13y + 1)
· (y
56
− 59y
55
+ ··· + 2248587717y + 62742241)
c
8
(y
20
− 19y
19
+ ··· + 116y + 16)
· (y
56
− 106y
55
+ ··· − 2285891007612y + 46398883216)
c
9
(y
20
− 5y
19
+ ··· − 3y + 1)(y
56
+ 12y
55
+ ··· − 7449y + 2809)
c
11
(y
20
+ 6y
19
+ ··· − y + 1)(y
56
+ 27y
55
+ ··· − 3871y + 1)
c
12
(y
20
− 6y
19
+ ··· + y + 1)
· (y
56
− 45y
55
+ ··· − 1207444021181y + 7312131121)
19
