12n
0399
(K12n
0399
)
A knot diagram
1
Linearized knot diagam
3 6 12 10 9 2 12 3 11 5 7 9
Solving Sequence
2,7
6 3
1,9
5 8 12 4 11 10
c
6
c
2
c
1
c
5
c
8
c
12
c
3
c
11
c
10
c
4
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.37109 × 10
80
u
57
− 1.84051 × 10
81
u
56
+ ··· + 5.53954 × 10
81
b − 2.72456 × 10
81
,
1.01217 × 10
81
u
57
+ 2.67010 × 10
81
u
56
+ ··· + 5.53954 × 10
81
a + 9.31498 × 10
81
, u
58
+ 2u
57
+ ··· − 27u + 19i
I
u
2
= hu
17
+ 5u
15
+ ··· + b − 4, −u
17
− u
16
+ ··· + a + 2, u
18
+ u
17
+ ··· + u + 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−6.37 × 10
80
u
57
− 1.84 × 10
81
u
56
+ · · · + 5.54 × 10
81
b − 2.72 ×
10
81
, 1.01 × 10
81
u
57
+ 2.67 × 10
81
u
56
+ · · · + 5.54 × 10
81
a + 9.31 ×
10
81
, u
58
+ 2u
57
+ · · · − 27u + 19i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
9
=
−0.182717u
57
− 0.482007u
56
+ ··· − 0.595250u − 1.68154
0.115011u
57
+ 0.332249u
56
+ ··· − 5.79553u + 0.491839
a
5
=
0.215408u
57
+ 0.599279u
56
+ ··· − 5.51146u + 2.78906
0.0682106u
57
+ 0.107706u
56
+ ··· + 9.01545u − 0.0425585
a
8
=
−0.0965279u
57
− 0.205612u
56
+ ··· − 0.632369u + 0.510681
0.0864318u
57
+ 0.243238u
56
+ ··· − 4.66179u + 0.707748
a
12
=
−0.184306u
57
− 0.235116u
56
+ ··· − 7.66825u + 2.57745
−0.0327982u
57
+ 0.0595320u
56
+ ··· − 3.43943u + 4.22235
a
4
=
−0.0364741u
57
+ 0.0502724u
56
+ ··· + 0.960488u + 0.303105
−0.115380u
57
− 0.144572u
56
+ ··· − 4.33270u + 3.07815
a
11
=
−0.151508u
57
− 0.294648u
56
+ ··· − 4.22882u − 1.64490
−0.0327982u
57
+ 0.0595320u
56
+ ··· − 3.43943u + 4.22235
a
10
=
−0.261480u
57
− 0.760630u
56
+ ··· + 1.64155u − 3.31612
0.0235570u
57
+ 0.113579u
56
+ ··· − 7.62175u + 0.966758
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0203392u
57
− 0.188722u
56
+ ··· − 30.5602u − 6.13312
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
58
+ 40u
57
+ ··· − 3009u + 361
c
2
, c
6
u
58
− 2u
57
+ ··· + 27u + 19
c
3
u
58
− 6u
57
+ ··· + 9863u + 10043
c
4
, c
10
u
58
− u
57
+ ··· − 6u + 19
c
5
u
58
+ 30u
56
+ ··· − 6099u + 2888
c
7
, c
11
u
58
− 3u
57
+ ··· + 12u + 1
c
8
u
58
− u
57
+ ··· + 958u + 751
c
9
u
58
+ 33u
57
+ ··· + 3228u + 361
c
12
u
58
+ 3u
57
+ ··· + 113424u + 119344
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
58
− 32y
57
+ ··· − 18457409y + 130321
c
2
, c
6
y
58
+ 40y
57
+ ··· − 3009y + 361
c
3
y
58
− 72y
57
+ ··· − 2262348709y + 100861849
c
4
, c
10
y
58
− 33y
57
+ ··· − 3228y + 361
c
5
y
58
+ 60y
57
+ ··· − 6995097y + 8340544
c
7
, c
11
y
58
− 5y
57
+ ··· − 26y + 1
c
8
y
58
+ 73y
57
+ ··· + 20589374y + 564001
c
9
y
58
− 9y
57
+ ··· − 449164y + 130321
c
12
y
58
+ 75y
57
+ ··· − 34418530176y + 14242990336
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.224515 + 1.006340I
a = −0.33066 − 2.04253I
b = −0.249830 + 0.006141I
−2.43095 + 5.91497I 2.38973 − 6.67697I
u = 0.224515 − 1.006340I
a = −0.33066 + 2.04253I
b = −0.249830 − 0.006141I
−2.43095 − 5.91497I 2.38973 + 6.67697I
u = −0.030766 + 0.962352I
a = −0.06436 + 1.97929I
b = −0.746000 − 0.276999I
0.1036930 + 0.0767330I 2.65103 − 0.60139I
u = −0.030766 − 0.962352I
a = −0.06436 − 1.97929I
b = −0.746000 + 0.276999I
0.1036930 − 0.0767330I 2.65103 + 0.60139I
u = 1.042920 + 0.032836I
a = 0.259112 + 0.104770I
b = 0.68966 − 1.30617I
−5.37599 − 3.80435I 2.65869 + 2.19609I
u = 1.042920 − 0.032836I
a = 0.259112 − 0.104770I
b = 0.68966 + 1.30617I
−5.37599 + 3.80435I 2.65869 − 2.19609I
u = −1.058870 + 0.161540I
a = −0.227004 + 0.100851I
b = −0.095391 − 1.169420I
−9.58690 + 0.42947I −1.63258 − 0.54397I
u = −1.058870 − 0.161540I
a = −0.227004 − 0.100851I
b = −0.095391 + 1.169420I
−9.58690 − 0.42947I −1.63258 + 0.54397I
u = −0.460132 + 0.780804I
a = 1.310830 + 0.501042I
b = 0.519539 − 0.203889I
0.07479 − 1.89327I 0.15136 + 5.96513I
u = −0.460132 − 0.780804I
a = 1.310830 − 0.501042I
b = 0.519539 + 0.203889I
0.07479 + 1.89327I 0.15136 − 5.96513I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.105990 + 1.102970I
a = −0.810233 + 0.184658I
b = 1.80171 − 0.04967I
−6.41348 + 2.03025I −3.15648 − 3.60193I
u = 0.105990 − 1.102970I
a = −0.810233 − 0.184658I
b = 1.80171 + 0.04967I
−6.41348 − 2.03025I −3.15648 + 3.60193I
u = 0.561429 + 0.692143I
a = −0.524254 + 0.648250I
b = −1.135660 − 0.415124I
2.43289 + 1.05533I 3.94947 + 2.91901I
u = 0.561429 − 0.692143I
a = −0.524254 − 0.648250I
b = −1.135660 + 0.415124I
2.43289 − 1.05533I 3.94947 − 2.91901I
u = −0.761038 + 0.814758I
a = −0.300716 + 0.114866I
b = −0.379098 + 0.825252I
1.83532 − 4.45936I 2.00000 + 6.82517I
u = −0.761038 − 0.814758I
a = −0.300716 − 0.114866I
b = −0.379098 − 0.825252I
1.83532 + 4.45936I 2.00000 − 6.82517I
u = −0.319860 + 0.802100I
a = 1.121730 − 0.655570I
b = 0.060021 − 0.162688I
−0.29143 − 1.82126I 1.27978 + 4.93251I
u = −0.319860 − 0.802100I
a = 1.121730 + 0.655570I
b = 0.060021 + 0.162688I
−0.29143 + 1.82126I 1.27978 − 4.93251I
u = −1.172040 + 0.071525I
a = 0.303741 + 0.232489I
b = 0.85630 + 1.92853I
−8.63085 + 8.82241I 0. − 5.23324I
u = −1.172040 − 0.071525I
a = 0.303741 − 0.232489I
b = 0.85630 − 1.92853I
−8.63085 − 8.82241I 0. + 5.23324I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.445581 + 1.103690I
a = 0.70109 − 1.44721I
b = 0.848763 + 0.587413I
−4.43655 + 6.03980I 0
u = 0.445581 − 1.103690I
a = 0.70109 + 1.44721I
b = 0.848763 − 0.587413I
−4.43655 − 6.03980I 0
u = −0.260261 + 1.162950I
a = 0.04311 − 1.85420I
b = −0.45658 + 1.34791I
−2.05268 − 3.33538I 0
u = −0.260261 − 1.162950I
a = 0.04311 + 1.85420I
b = −0.45658 − 1.34791I
−2.05268 + 3.33538I 0
u = −0.779441 + 0.907575I
a = 0.834365 − 0.262759I
b = −0.075515 − 0.925892I
1.58419 − 1.34680I 0
u = −0.779441 − 0.907575I
a = 0.834365 + 0.262759I
b = −0.075515 + 0.925892I
1.58419 + 1.34680I 0
u = −0.058218 + 1.207240I
a = 0.39450 − 1.84866I
b = −1.02773 + 1.06905I
−4.57241 − 4.54424I 0
u = −0.058218 − 1.207240I
a = 0.39450 + 1.84866I
b = −1.02773 − 1.06905I
−4.57241 + 4.54424I 0
u = 0.094987 + 1.212170I
a = −0.79398 + 1.46987I
b = 0.90589 − 1.47169I
−6.32920 + 0.20167I 0
u = 0.094987 − 1.212170I
a = −0.79398 − 1.46987I
b = 0.90589 + 1.47169I
−6.32920 − 0.20167I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.285200 + 0.724064I
a = −1.77053 − 0.53984I
b = 0.832820 − 0.313787I
−5.14004 − 0.53773I −4.31053 − 1.96229I
u = 0.285200 − 0.724064I
a = −1.77053 + 0.53984I
b = 0.832820 + 0.313787I
−5.14004 + 0.53773I −4.31053 + 1.96229I
u = 0.675255 + 1.080190I
a = 0.729932 + 0.807985I
b = −1.32166 + 0.86386I
1.20589 + 3.92566I 0
u = 0.675255 − 1.080190I
a = 0.729932 − 0.807985I
b = −1.32166 − 0.86386I
1.20589 − 3.92566I 0
u = 0.289778 + 1.251810I
a = −0.14194 + 2.38715I
b = −0.83641 − 2.21441I
−4.57902 + 8.23825I 0
u = 0.289778 − 1.251810I
a = −0.14194 − 2.38715I
b = −0.83641 + 2.21441I
−4.57902 − 8.23825I 0
u = 0.502231 + 0.501611I
a = 1.90990 + 0.84716I
b = 0.772295 + 0.298643I
−1.23139 − 2.94700I 3.45016 + 2.06974I
u = 0.502231 − 0.501611I
a = 1.90990 − 0.84716I
b = 0.772295 − 0.298643I
−1.23139 + 2.94700I 3.45016 − 2.06974I
u = 0.614872 + 0.246619I
a = 0.986845 − 0.142152I
b = 0.655283 − 0.683736I
−1.98798 − 1.92106I 0.449585 + 0.437051I
u = 0.614872 − 0.246619I
a = 0.986845 + 0.142152I
b = 0.655283 + 0.683736I
−1.98798 + 1.92106I 0.449585 − 0.437051I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.49464 + 1.35074I
a = −0.934249 + 1.006260I
b = 0.33871 − 1.44275I
−9.72891 + 1.63245I 0
u = 0.49464 − 1.35074I
a = −0.934249 − 1.006260I
b = 0.33871 + 1.44275I
−9.72891 − 1.63245I 0
u = 0.53075 + 1.33985I
a = 0.49560 − 1.71753I
b = 0.97811 + 1.43333I
−9.45215 + 9.41732I 0
u = 0.53075 − 1.33985I
a = 0.49560 + 1.71753I
b = 0.97811 − 1.43333I
−9.45215 − 9.41732I 0
u = −0.42609 + 1.38517I
a = 0.42731 + 1.44092I
b = 0.22698 − 1.46052I
−14.5523 − 4.7341I 0
u = −0.42609 − 1.38517I
a = 0.42731 − 1.44092I
b = 0.22698 + 1.46052I
−14.5523 + 4.7341I 0
u = −0.60852 + 1.32238I
a = −0.779860 − 1.133270I
b = −0.463346 + 1.215890I
−13.1569 − 6.4397I 0
u = −0.60852 − 1.32238I
a = −0.779860 + 1.133270I
b = −0.463346 − 1.215890I
−13.1569 + 6.4397I 0
u = 0.07302 + 1.47166I
a = −1.72282 + 0.30872I
b = 3.24074 − 0.70291I
−7.81481 − 1.27231I 0
u = 0.07302 − 1.47166I
a = −1.72282 − 0.30872I
b = 3.24074 + 0.70291I
−7.81481 + 1.27231I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.58987 + 1.38053I
a = 0.65521 + 1.77053I
b = 1.32308 − 1.85496I
−12.7498 − 15.0579I 0
u = −0.58987 − 1.38053I
a = 0.65521 − 1.77053I
b = 1.32308 + 1.85496I
−12.7498 + 15.0579I 0
u = 0.457528 + 0.032139I
a = 0.782322 − 0.083764I
b = −0.563932 + 1.221260I
−0.84917 − 5.20541I 3.94046 + 7.52664I
u = 0.457528 − 0.032139I
a = 0.782322 + 0.083764I
b = −0.563932 − 1.221260I
−0.84917 + 5.20541I 3.94046 − 7.52664I
u = −0.49829 + 1.47862I
a = −1.10880 − 1.15312I
b = 0.40920 + 2.41229I
−13.61300 + 2.78020I 0
u = −0.49829 − 1.47862I
a = −1.10880 + 1.15312I
b = 0.40920 − 2.41229I
−13.61300 − 2.78020I 0
u = −0.375315 + 0.010677I
a = 0.974844 − 0.096938I
b = −0.607935 + 0.541636I
1.209710 − 0.655189I 7.50833 + 2.44087I
u = −0.375315 − 0.010677I
a = 0.974844 + 0.096938I
b = −0.607935 − 0.541636I
1.209710 + 0.655189I 7.50833 − 2.44087I
10
II.
I
u
2
= hu
17
+ 5u
15
+ · · · + b − 4, −u
17
− u
16
+ · · · + a + 2, u
18
+ u
17
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
9
=
u
17
+ u
16
+ ··· + u − 2
−u
17
− 5u
15
+ ··· − 2u + 4
a
5
=
−3u
17
− 4u
16
+ ··· − u − 6
−3u
17
− 2u
16
+ ··· − 8u − 1
a
8
=
u
17
+ u
16
+ ··· + u − 1
−u
17
− 5u
15
+ ··· − 2u + 5
a
12
=
−u
17
− 5u
16
+ ··· − 8u − 5
u
17
+ u
16
+ ··· + 7u + 1
a
4
=
4u
17
+ 11u
16
+ ··· + 20u + 12
−u
17
− u
16
+ ··· − 7u − 1
a
11
=
−2u
17
− 6u
16
+ ··· − 15u − 6
u
17
+ u
16
+ ··· + 7u + 1
a
10
=
2u
17
+ 3u
16
+ ··· − 5u + 5
3u
17
+ 2u
16
+ ··· + 8u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 18u
17
+ 20u
16
+ 102u
15
+ 96u
14
+ 289u
13
+ 242u
12
+ 565u
11
+
422u
10
+ 770u
9
+ 505u
8
+ 760u
7
+ 449u
6
+ 540u
5
+ 268u
4
+ 235u
3
+ 107u
2
+ 48u + 17
11
(iv) u-Polynomials at the component
12
Crossings u-Polynomials at each crossing
c
1
u
18
− 11u
17
+ ··· − 15u + 1
c
2
u
18
− u
17
+ ··· − u + 1
c
3
u
18
+ 7u
17
+ ··· + 7u + 1
c
4
u
18
− 5u
16
+ ··· − 4u
2
+ 1
c
5
u
18
+ 3u
17
+ ··· − 2u
2
+ 1
c
6
u
18
+ u
17
+ ··· + u + 1
c
7
u
18
− 2u
17
+ ··· − 2u + 1
c
8
u
18
+ 10u
16
+ ··· + 9u
2
+ 1
c
9
u
18
− 10u
17
+ ··· − 8u + 1
c
10
u
18
− 5u
16
+ ··· − 4u
2
+ 1
c
11
u
18
+ 2u
17
+ ··· + 2u + 1
c
12
u
18
+ 2u
17
+ ··· + 2u + 1
13
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
+ 3y
17
+ ··· − 21y + 1
c
2
, c
6
y
18
+ 11y
17
+ ··· + 15y + 1
c
3
y
18
− y
17
+ ··· + 7y + 1
c
4
, c
10
y
18
− 10y
17
+ ··· − 8y + 1
c
5
y
18
+ 15y
17
+ ··· − 4y + 1
c
7
, c
11
y
18
− 10y
17
+ ··· − 6y + 1
c
8
y
18
+ 20y
17
+ ··· + 18y + 1
c
9
y
18
+ 2y
17
+ ··· + 8y + 1
c
12
y
18
− 6y
17
+ ··· − 10y + 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.663427 + 0.812489I
a = −0.1067230 + 0.0051625I
b = −0.687075 − 0.298572I
2.56473 + 2.09263I 6.27509 − 4.65916I
u = 0.663427 − 0.812489I
a = −0.1067230 − 0.0051625I
b = −0.687075 + 0.298572I
2.56473 − 2.09263I 6.27509 + 4.65916I
u = 0.329171 + 0.866966I
a = −1.23220 + 1.42346I
b = −0.738933 + 0.005475I
0.76853 + 1.42826I 8.35176 − 2.38264I
u = 0.329171 − 0.866966I
a = −1.23220 − 1.42346I
b = −0.738933 − 0.005475I
0.76853 − 1.42826I 8.35176 + 2.38264I
u = −0.767733 + 0.810239I
a = 0.224536 + 0.562717I
b = 0.019830 + 0.688255I
0.91380 − 6.14020I 1.38743 + 7.79716I
u = −0.767733 − 0.810239I
a = 0.224536 − 0.562717I
b = 0.019830 − 0.688255I
0.91380 + 6.14020I 1.38743 − 7.79716I
u = −0.308872 + 1.108840I
a = −0.40762 − 2.27471I
b = −0.723271 + 0.879058I
−3.46207 − 6.59532I −0.29237 + 8.93365I
u = −0.308872 − 1.108840I
a = −0.40762 + 2.27471I
b = −0.723271 − 0.879058I
−3.46207 + 6.59532I −0.29237 − 8.93365I
u = 0.676502 + 0.985205I
a = 0.784868 + 0.696433I
b = −0.781651 + 0.705840I
2.01899 + 3.08515I 4.31503 − 1.55560I
u = 0.676502 − 0.985205I
a = 0.784868 − 0.696433I
b = −0.781651 − 0.705840I
2.01899 − 3.08515I 4.31503 + 1.55560I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.777605 + 0.946138I
a = 1.105390 + 0.065108I
b = 0.299715 − 0.762984I
0.504540 + 0.309567I −0.80740 − 1.43142I
u = −0.777605 − 0.946138I
a = 1.105390 − 0.065108I
b = 0.299715 + 0.762984I
0.504540 − 0.309567I −0.80740 + 1.43142I
u = −0.236516 + 0.684902I
a = −1.95856 − 0.66471I
b = −0.452798 − 0.606876I
−1.79616 + 4.18945I −0.25895 − 4.46563I
u = −0.236516 − 0.684902I
a = −1.95856 + 0.66471I
b = −0.452798 + 0.606876I
−1.79616 − 4.18945I −0.25895 + 4.46563I
u = −0.043389 + 1.388640I
a = −1.70876 − 0.48185I
b = 2.96850 + 0.74047I
−8.29244 + 1.00000I −10.45781 + 0.99918I
u = −0.043389 − 1.388640I
a = −1.70876 + 0.48185I
b = 2.96850 − 0.74047I
−8.29244 − 1.00000I −10.45781 − 0.99918I
u = −0.034984 + 0.541926I
a = −2.20094 − 0.05979I
b = 1.095690 − 0.356910I
−4.73446 − 1.37974I 0.98722 + 4.89065I
u = −0.034984 − 0.541926I
a = −2.20094 + 0.05979I
b = 1.095690 + 0.356910I
−4.73446 + 1.37974I 0.98722 − 4.89065I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
− 11u
17
+ ··· − 15u + 1)(u
58
+ 40u
57
+ ··· − 3009u + 361)
c
2
(u
18
− u
17
+ ··· − u + 1)(u
58
− 2u
57
+ ··· + 27u + 19)
c
3
(u
18
+ 7u
17
+ ··· + 7u + 1)(u
58
− 6u
57
+ ··· + 9863u + 10043)
c
4
(u
18
− 5u
16
+ ··· − 4u
2
+ 1)(u
58
− u
57
+ ··· − 6u + 19)
c
5
(u
18
+ 3u
17
+ ··· − 2u
2
+ 1)(u
58
+ 30u
56
+ ··· − 6099u + 2888)
c
6
(u
18
+ u
17
+ ··· + u + 1)(u
58
− 2u
57
+ ··· + 27u + 19)
c
7
(u
18
− 2u
17
+ ··· − 2u + 1)(u
58
− 3u
57
+ ··· + 12u + 1)
c
8
(u
18
+ 10u
16
+ ··· + 9u
2
+ 1)(u
58
− u
57
+ ··· + 958u + 751)
c
9
(u
18
− 10u
17
+ ··· − 8u + 1)(u
58
+ 33u
57
+ ··· + 3228u + 361)
c
10
(u
18
− 5u
16
+ ··· − 4u
2
+ 1)(u
58
− u
57
+ ··· − 6u + 19)
c
11
(u
18
+ 2u
17
+ ··· + 2u + 1)(u
58
− 3u
57
+ ··· + 12u + 1)
c
12
(u
18
+ 2u
17
+ ··· + 2u + 1)(u
58
+ 3u
57
+ ··· + 113424u + 119344)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
+ 3y
17
+ ··· − 21y + 1)
· (y
58
− 32y
57
+ ··· − 18457409y + 130321)
c
2
, c
6
(y
18
+ 11y
17
+ ··· + 15y + 1)(y
58
+ 40y
57
+ ··· − 3009y + 361)
c
3
(y
18
− y
17
+ ··· + 7y + 1)
· (y
58
− 72y
57
+ ··· − 2262348709y + 100861849)
c
4
, c
10
(y
18
− 10y
17
+ ··· − 8y + 1)(y
58
− 33y
57
+ ··· − 3228y + 361)
c
5
(y
18
+ 15y
17
+ ··· − 4y + 1)
· (y
58
+ 60y
57
+ ··· − 6995097y + 8340544)
c
7
, c
11
(y
18
− 10y
17
+ ··· − 6y + 1)(y
58
− 5y
57
+ ··· − 26y + 1)
c
8
(y
18
+ 20y
17
+ ··· + 18y + 1)
· (y
58
+ 73y
57
+ ··· + 20589374y + 564001)
c
9
(y
18
+ 2y
17
+ ··· + 8y + 1)(y
58
− 9y
57
+ ··· − 449164y + 130321)
c
12
(y
18
− 6y
17
+ ··· − 10y + 1)
· (y
58
+ 75y
57
+ ··· − 34418530176y + 14242990336)
19
