12n
0782
(K12n
0782
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 10 3 11 12 2 7 5 9
Solving Sequence
3,9 4,6
7 2 10 11 1 5 12 8
c
3
c
6
c
2
c
9
c
10
c
1
c
5
c
12
c
8
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h5.27881 × 10
88
u
57
− 4.69361 × 10
90
u
56
+ ··· + 1.36590 × 10
92
b − 5.88184 × 10
92
,
− 2.96745 × 10
93
u
57
− 2.47917 × 10
93
u
56
+ ··· + 8.04515 × 10
94
a + 3.43955 × 10
95
,
u
58
+ u
57
+ ··· − 223u + 38i
I
u
2
= h475169u
17
+ 381386u
16
+ ··· + 522553b + 471664,
− 688088u
17
− 1519820u
16
+ ··· + 2612765a − 1890667, u
18
+ 15u
16
+ ··· − 6u + 5i
* 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
= h5.28 × 10
88
u
57
− 4.69 × 10
90
u
56
+ · · · + 1.37 × 10
92
b − 5.88 ×
10
92
, −2.97 × 10
93
u
57
− 2.48 × 10
93
u
56
+ · · · + 8.05 × 10
94
a + 3.44 ×
10
95
, u
58
+ u
57
+ · · · − 223u + 38i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
0.0368850u
57
+ 0.0308157u
56
+ ··· + 41.2134u − 4.27531
−0.000386471u
57
+ 0.0343628u
56
+ ··· − 23.7709u + 4.30620
a
7
=
0.0364985u
57
+ 0.0651785u
56
+ ··· + 17.4426u + 0.0308943
−0.000386471u
57
+ 0.0343628u
56
+ ··· − 23.7709u + 4.30620
a
2
=
0.0405848u
57
+ 0.0585166u
56
+ ··· + 63.4140u − 5.65068
−0.0519284u
57
− 0.0695194u
56
+ ··· − 12.5917u + 0.686208
a
10
=
−0.106783u
57
− 0.120253u
56
+ ··· − 87.1353u + 3.59553
0.0335600u
57
+ 0.0556513u
56
+ ··· + 0.799424u + 0.951777
a
11
=
0.00494700u
57
+ 0.0479532u
56
+ ··· − 57.8669u + 5.20437
0.0678161u
57
+ 0.0966838u
56
+ ··· − 15.7287u + 4.42152
a
1
=
−0.00916084u
57
− 0.0269986u
56
+ ··· + 53.2788u − 5.64588
−0.0924440u
57
− 0.175276u
56
+ ··· − 6.50545u − 0.673036
a
5
=
0.00126585u
57
+ 0.0187770u
56
+ ··· − 50.5853u + 14.2462
0.0175336u
57
+ 0.00565385u
56
+ ··· − 1.20624u + 0.716555
a
12
=
−0.00916084u
57
− 0.0269986u
56
+ ··· + 53.2788u − 5.64588
−0.0497456u
57
− 0.0855152u
56
+ ··· − 10.1352u + 0.00479944
a
8
=
0.0258619u
57
+ 0.106305u
56
+ ··· + 55.7975u − 1.95424
−0.0553761u
57
+ 0.0473162u
56
+ ··· − 29.4845u + 3.10494
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0872911u
57
− 0.355385u
56
+ ··· + 59.4278u − 12.0616
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
58
− 8u
57
+ ··· − 59912u + 5747
c
2
, c
6
u
58
− 13u
56
+ ··· − 638u + 247
c
3
u
58
− u
57
+ ··· + 223u + 38
c
4
, c
11
u
58
+ 2u
57
+ ··· − 4u + 47
c
5
u
58
− u
57
+ ··· − 155u + 118
c
7
, c
10
u
58
+ 3u
57
+ ··· + 410u + 25
c
8
, c
12
u
58
+ 45u
56
+ ··· + 1851u + 269
c
9
u
58
− u
57
+ ··· − 22u + 97
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
58
− 84y
57
+ ··· + 622723954y + 33028009
c
2
, c
6
y
58
− 26y
57
+ ··· − 629838y + 61009
c
3
y
58
+ 75y
57
+ ··· + 81523y + 1444
c
4
, c
11
y
58
+ 2y
57
+ ··· + 4120y + 2209
c
5
y
58
+ 31y
57
+ ··· + 80523y + 13924
c
7
, c
10
y
58
− 53y
57
+ ··· − 18700y + 625
c
8
, c
12
y
58
+ 90y
57
+ ··· + 3009893y + 72361
c
9
y
58
− 23y
57
+ ··· − 9020y + 9409
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853751 + 0.464332I
a = −0.0493088 − 0.0773017I
b = 0.203439 − 1.110150I
−2.63383 + 3.87803I 0. − 7.10067I
u = 0.853751 − 0.464332I
a = −0.0493088 + 0.0773017I
b = 0.203439 + 1.110150I
−2.63383 − 3.87803I 0. + 7.10067I
u = −1.062870 + 0.155680I
a = 1.383060 + 0.177575I
b = −1.287020 + 0.256764I
3.11643 − 0.54489I 0
u = −1.062870 − 0.155680I
a = 1.383060 − 0.177575I
b = −1.287020 − 0.256764I
3.11643 + 0.54489I 0
u = −0.112581 + 0.912921I
a = 0.15835 + 1.82362I
b = −0.965630 + 0.677508I
6.95013 − 2.72728I 5.05992 + 2.76752I
u = −0.112581 − 0.912921I
a = 0.15835 − 1.82362I
b = −0.965630 − 0.677508I
6.95013 + 2.72728I 5.05992 − 2.76752I
u = −0.084433 + 0.832538I
a = 0.0357940 + 0.0140818I
b = 1.140920 − 0.525982I
−0.82014 − 4.75740I −0.14886 + 5.79153I
u = −0.084433 − 0.832538I
a = 0.0357940 − 0.0140818I
b = 1.140920 + 0.525982I
−0.82014 + 4.75740I −0.14886 − 5.79153I
u = 0.782245 + 0.038291I
a = −1.99589 − 0.35305I
b = 1.222820 + 0.263072I
4.17334 + 3.33228I 6.92799 − 6.82937I
u = 0.782245 − 0.038291I
a = −1.99589 + 0.35305I
b = 1.222820 − 0.263072I
4.17334 − 3.33228I 6.92799 + 6.82937I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.099784 + 1.239980I
a = 0.46372 − 1.67392I
b = −0.933454 − 0.370814I
1.66999 + 1.54564I 0
u = 0.099784 − 1.239980I
a = 0.46372 + 1.67392I
b = −0.933454 + 0.370814I
1.66999 − 1.54564I 0
u = −0.014033 + 1.261280I
a = 0.753664 − 0.681102I
b = −0.889945 − 0.068116I
0.047703 + 0.198149I 0
u = −0.014033 − 1.261280I
a = 0.753664 + 0.681102I
b = −0.889945 + 0.068116I
0.047703 − 0.198149I 0
u = −0.450292 + 1.192360I
a = −0.624837 − 0.475798I
b = 1.338790 − 0.213313I
−0.33330 − 4.75057I 0
u = −0.450292 − 1.192360I
a = −0.624837 + 0.475798I
b = 1.338790 + 0.213313I
−0.33330 + 4.75057I 0
u = 0.003350 + 1.288710I
a = −0.209714 − 0.410378I
b = 0.136782 − 1.254630I
−4.85427 − 1.06680I 0
u = 0.003350 − 1.288710I
a = −0.209714 + 0.410378I
b = 0.136782 + 1.254630I
−4.85427 + 1.06680I 0
u = 0.314738 + 1.298090I
a = 1.025510 − 0.858022I
b = −1.39942 − 0.56356I
0.00633 + 7.27891I 0
u = 0.314738 − 1.298090I
a = 1.025510 + 0.858022I
b = −1.39942 + 0.56356I
0.00633 − 7.27891I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.123890 + 0.727662I
a = −1.289100 − 0.536945I
b = 1.288900 − 0.578954I
0.86445 − 9.82160I 0
u = −1.123890 − 0.727662I
a = −1.289100 + 0.536945I
b = 1.288900 + 0.578954I
0.86445 + 9.82160I 0
u = 0.460864 + 0.418666I
a = 0.57224 − 1.90811I
b = 0.385032 − 0.536811I
−3.08131 + 0.52947I −3.73900 + 2.26505I
u = 0.460864 − 0.418666I
a = 0.57224 + 1.90811I
b = 0.385032 + 0.536811I
−3.08131 − 0.52947I −3.73900 − 2.26505I
u = −0.124818 + 0.519430I
a = −1.71837 − 1.68133I
b = 0.919845 + 0.470366I
8.22063 + 1.95332I −4.24227 − 5.07597I
u = −0.124818 − 0.519430I
a = −1.71837 + 1.68133I
b = 0.919845 − 0.470366I
8.22063 − 1.95332I −4.24227 + 5.07597I
u = 0.22485 + 1.46017I
a = 0.043124 − 0.507703I
b = 0.579349 − 0.997182I
−5.11981 − 0.34192I 0
u = 0.22485 − 1.46017I
a = 0.043124 + 0.507703I
b = 0.579349 + 0.997182I
−5.11981 + 0.34192I 0
u = 0.164082 + 0.484192I
a = 1.39498 − 2.02846I
b = −1.157090 − 0.710262I
0.25031 + 5.18394I −0.05460 − 3.88348I
u = 0.164082 − 0.484192I
a = 1.39498 + 2.02846I
b = −1.157090 + 0.710262I
0.25031 − 5.18394I −0.05460 + 3.88348I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.10703 + 1.51586I
a = 1.05246 + 1.33886I
b = −0.837740 + 0.446217I
−9.50824 + 2.34060I 0
u = 0.10703 − 1.51586I
a = 1.05246 − 1.33886I
b = −0.837740 − 0.446217I
−9.50824 − 2.34060I 0
u = −0.03559 + 1.53038I
a = 0.256243 + 0.650105I
b = 0.747820 + 1.090540I
−8.19348 + 0.77858I 0
u = −0.03559 − 1.53038I
a = 0.256243 − 0.650105I
b = 0.747820 − 1.090540I
−8.19348 − 0.77858I 0
u = 0.06553 + 1.55280I
a = −0.549374 + 1.215700I
b = 1.141090 + 0.801942I
−6.78133 + 6.11938I 0
u = 0.06553 − 1.55280I
a = −0.549374 − 1.215700I
b = 1.141090 − 0.801942I
−6.78133 − 6.11938I 0
u = −0.190141 + 0.387639I
a = 0.446972 − 0.550746I
b = −0.192799 + 0.357060I
0.080144 − 0.948408I 1.62310 + 7.11083I
u = −0.190141 − 0.387639I
a = 0.446972 + 0.550746I
b = −0.192799 − 0.357060I
0.080144 + 0.948408I 1.62310 − 7.11083I
u = 0.32626 + 1.55223I
a = −0.241997 + 0.425422I
b = −0.520923 + 1.219600I
−9.24266 + 8.26916I 0
u = 0.32626 − 1.55223I
a = −0.241997 − 0.425422I
b = −0.520923 − 1.219600I
−9.24266 − 8.26916I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.26330 + 1.59853I
a = −0.745743 − 1.025400I
b = 1.115300 − 0.653239I
−3.26110 − 5.59088I 0
u = −0.26330 − 1.59853I
a = −0.745743 + 1.025400I
b = 1.115300 + 0.653239I
−3.26110 + 5.59088I 0
u = −0.08919 + 1.63634I
a = −0.271146 + 0.443919I
b = −0.871244 + 0.410826I
−9.42034 − 5.91809I 0
u = −0.08919 − 1.63634I
a = −0.271146 − 0.443919I
b = −0.871244 − 0.410826I
−9.42034 + 5.91809I 0
u = −0.061244 + 0.334869I
a = −1.148350 − 0.458209I
b = −0.615190 − 1.052660I
−1.66078 + 1.21898I 2.81157 + 3.35584I
u = −0.061244 − 0.334869I
a = −1.148350 + 0.458209I
b = −0.615190 + 1.052660I
−1.66078 − 1.21898I 2.81157 − 3.35584I
u = −0.36544 + 1.64783I
a = 0.783570 + 1.030920I
b = −1.25562 + 0.75255I
−6.7816 − 15.2640I 0
u = −0.36544 − 1.64783I
a = 0.783570 − 1.030920I
b = −1.25562 − 0.75255I
−6.7816 + 15.2640I 0
u = 0.27885 + 1.66834I
a = −1.15451 + 0.99467I
b = 0.909700 + 0.469646I
−9.60927 + 6.45837I 0
u = 0.27885 − 1.66834I
a = −1.15451 − 0.99467I
b = 0.909700 − 0.469646I
−9.60927 − 6.45837I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.18362 + 1.69215I
a = 0.093625 + 0.232044I
b = 0.763246 + 0.498750I
−10.07870 − 2.49709I 0
u = −0.18362 − 1.69215I
a = 0.093625 − 0.232044I
b = 0.763246 − 0.498750I
−10.07870 + 2.49709I 0
u = 0.37845 + 1.71205I
a = 0.706342 − 0.499000I
b = −0.905333 − 0.120347I
−0.134835 + 0.852804I 0
u = 0.37845 − 1.71205I
a = 0.706342 + 0.499000I
b = −0.905333 + 0.120347I
−0.134835 − 0.852804I 0
u = 0.140544 + 0.178449I
a = −6.15520 + 5.78279I
b = 0.906472 − 0.175526I
5.16615 − 0.70559I 5.44585 − 4.12571I
u = 0.140544 − 0.178449I
a = −6.15520 − 5.78279I
b = 0.906472 + 0.175526I
5.16615 + 0.70559I 5.44585 + 4.12571I
u = −0.53888 + 1.87728I
a = 0.760193 − 0.092180I
b = −0.968080 − 0.226728I
0.106752 + 0.734447I 0
u = −0.53888 − 1.87728I
a = 0.760193 + 0.092180I
b = −0.968080 + 0.226728I
0.106752 − 0.734447I 0
10
II.
I
u
2
= h4.75 × 10
5
u
17
+ 3.81 × 10
5
u
16
+ · · · + 5.23 × 10
5
b + 4.72 × 10
5
, −6.88 ×
10
5
u
17
−1.52×10
6
u
16
+· · ·+2.61×10
6
a−1.89×10
6
, u
18
+15u
16
+· · ·−6u+5i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
0.263356u
17
+ 0.581690u
16
+ ··· + 6.31256u + 0.723627
−0.909322u
17
− 0.729851u
16
+ ··· − 3.71667u − 0.902615
a
7
=
−0.645966u
17
− 0.148161u
16
+ ··· + 2.59588u − 0.178988
−0.909322u
17
− 0.729851u
16
+ ··· − 3.71667u − 0.902615
a
2
=
0.438599u
17
− 1.04958u
16
+ ··· + 8.33106u − 1.44807
1.21931u
17
− 1.02358u
16
+ ··· + 6.40039u − 4.90381
a
10
=
−0.292901u
17
+ 0.539668u
16
+ ··· − 11.1573u + 0.328021
−0.421190u
17
+ 0.836061u
16
+ ··· − 0.273739u + 3.38165
a
11
=
−0.838553u
17
+ 1.62104u
16
+ ··· − 13.6838u + 2.62121
−0.360666u
17
+ 1.17548u
16
+ ··· − 0.934409u + 3.26121
a
1
=
1.03879u
17
− 0.114254u
16
+ ··· + 6.24100u − 1.10401
2.15736u
17
+ 1.13651u
16
+ ··· + 3.78942u − 0.227208
a
5
=
1.03604u
17
+ 0.677147u
16
+ ··· + 0.313120u + 5.40611
0.552819u
17
+ 0.423534u
16
+ ··· + 1.35440u − 0.433577
a
12
=
1.03879u
17
− 0.114254u
16
+ ··· + 6.24100u − 1.10401
0.600192u
17
+ 0.935321u
16
+ ··· − 2.09006u + 0.344065
a
8
=
0.337287u
17
− 2.39152u
16
+ ··· + 13.1418u − 7.78875
0.219099u
17
− 1.77164u
16
+ ··· + 6.41323u − 6.77742
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
2079650
522553
u
17
−
452334
522553
u
16
+ ··· −
15376048
522553
u +
7059214
522553
11
(iv) u-Polynomials at the component
12
Crossings u-Polynomials at each crossing
c
1
u
18
− 3u
17
+ ··· + 2u + 1
c
2
u
18
− u
17
+ ··· − 2u + 1
c
3
u
18
+ 15u
16
+ ··· − 6u + 5
c
4
u
18
− u
17
+ ··· + 4u
2
+ 1
c
5
u
18
+ 11u
16
+ ··· − 2u + 5
c
6
u
18
+ u
17
+ ··· + 2u + 1
c
7
u
18
+ 2u
17
+ ··· + 16u
2
+ 7
c
8
u
18
− u
17
+ ··· − 5u + 1
c
9
u
18
+ 4u
17
+ ··· + 8u + 1
c
10
u
18
− 2u
17
+ ··· + 16u
2
+ 7
c
11
u
18
+ u
17
+ ··· + 4u
2
+ 1
c
12
u
18
+ u
17
+ ··· + 5u + 1
13
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
− 13y
17
+ ··· − 22y + 1
c
2
, c
6
y
18
− 7y
17
+ ··· + 2y + 1
c
3
y
18
+ 30y
17
+ ··· + 264y + 25
c
4
, c
11
y
18
+ 13y
17
+ ··· + 8y + 1
c
5
y
18
+ 22y
17
+ ··· + 166y + 25
c
7
, c
10
y
18
− 18y
17
+ ··· + 224y + 49
c
8
, c
12
y
18
+ 13y
17
+ ··· − 23y + 1
c
9
y
18
− 16y
17
+ ··· − 16y + 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.123064 + 1.252120I
a = 0.124206 − 1.294110I
b = −1.018510 − 0.849224I
5.67755 + 3.28436I −0.59775 − 3.64061I
u = 0.123064 − 1.252120I
a = 0.124206 + 1.294110I
b = −1.018510 + 0.849224I
5.67755 − 3.28436I −0.59775 + 3.64061I
u = −0.188606 + 1.266260I
a = −0.60866 − 1.59214I
b = 0.938103 − 0.153898I
2.12876 − 0.69203I 6.40220 − 1.90887I
u = −0.188606 − 1.266260I
a = −0.60866 + 1.59214I
b = 0.938103 + 0.153898I
2.12876 + 0.69203I 6.40220 + 1.90887I
u = −0.360505 + 1.231030I
a = −0.873740 − 0.802822I
b = 1.42199 − 0.68694I
−0.69011 − 7.09449I −4.20097 + 7.45897I
u = −0.360505 − 1.231030I
a = −0.873740 + 0.802822I
b = 1.42199 + 0.68694I
−0.69011 + 7.09449I −4.20097 − 7.45897I
u = 0.327917 + 0.627027I
a = 0.633937 − 0.499000I
b = −0.479081 − 0.805088I
−1.92128 + 1.96048I −1.19573 − 5.62148I
u = 0.327917 − 0.627027I
a = 0.633937 + 0.499000I
b = −0.479081 + 0.805088I
−1.92128 − 1.96048I −1.19573 + 5.62148I
u = 0.148616 + 1.285620I
a = 0.178421 − 0.531885I
b = 0.442168 − 1.232720I
−4.20955 − 0.11620I 1.70521 − 1.04373I
u = 0.148616 − 1.285620I
a = 0.178421 + 0.531885I
b = 0.442168 + 1.232720I
−4.20955 + 0.11620I 1.70521 + 1.04373I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.406284 + 0.439609I
a = 2.21319 + 2.32607I
b = −1.023940 + 0.328001I
5.13345 − 1.40589I 4.79141 + 5.59291I
u = −0.406284 − 0.439609I
a = 2.21319 − 2.32607I
b = −1.023940 − 0.328001I
5.13345 + 1.40589I 4.79141 − 5.59291I
u = 0.302439 + 0.399611I
a = −2.61290 + 1.39154I
b = 0.981313 − 0.425718I
8.63907 − 1.80668I 13.61479 − 1.09393I
u = 0.302439 − 0.399611I
a = −2.61290 − 1.39154I
b = 0.981313 + 0.425718I
8.63907 + 1.80668I 13.61479 + 1.09393I
u = 0.15623 + 1.60918I
a = 0.029868 + 0.885546I
b = 0.182577 + 0.324170I
−9.81955 + 4.31607I −1.44430 − 2.37878I
u = 0.15623 − 1.60918I
a = 0.029868 − 0.885546I
b = 0.182577 − 0.324170I
−9.81955 − 4.31607I −1.44430 + 2.37878I
u = −0.10287 + 2.43450I
a = 0.815671 − 0.193645I
b = −0.944622 − 0.152003I
−0.003534 + 0.615030I −5.0749 + 47.0439I
u = −0.10287 − 2.43450I
a = 0.815671 + 0.193645I
b = −0.944622 + 0.152003I
−0.003534 − 0.615030I −5.0749 − 47.0439I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
− 3u
17
+ ··· + 2u + 1)(u
58
− 8u
57
+ ··· − 59912u + 5747)
c
2
(u
18
− u
17
+ ··· − 2u + 1)(u
58
− 13u
56
+ ··· − 638u + 247)
c
3
(u
18
+ 15u
16
+ ··· − 6u + 5)(u
58
− u
57
+ ··· + 223u + 38)
c
4
(u
18
− u
17
+ ··· + 4u
2
+ 1)(u
58
+ 2u
57
+ ··· − 4u + 47)
c
5
(u
18
+ 11u
16
+ ··· − 2u + 5)(u
58
− u
57
+ ··· − 155u + 118)
c
6
(u
18
+ u
17
+ ··· + 2u + 1)(u
58
− 13u
56
+ ··· − 638u + 247)
c
7
(u
18
+ 2u
17
+ ··· + 16u
2
+ 7)(u
58
+ 3u
57
+ ··· + 410u + 25)
c
8
(u
18
− u
17
+ ··· − 5u + 1)(u
58
+ 45u
56
+ ··· + 1851u + 269)
c
9
(u
18
+ 4u
17
+ ··· + 8u + 1)(u
58
− u
57
+ ··· − 22u + 97)
c
10
(u
18
− 2u
17
+ ··· + 16u
2
+ 7)(u
58
+ 3u
57
+ ··· + 410u + 25)
c
11
(u
18
+ u
17
+ ··· + 4u
2
+ 1)(u
58
+ 2u
57
+ ··· − 4u + 47)
c
12
(u
18
+ u
17
+ ··· + 5u + 1)(u
58
+ 45u
56
+ ··· + 1851u + 269)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
− 13y
17
+ ··· − 22y + 1)
· (y
58
− 84y
57
+ ··· + 622723954y + 33028009)
c
2
, c
6
(y
18
− 7y
17
+ ··· + 2y + 1)(y
58
− 26y
57
+ ··· − 629838y + 61009)
c
3
(y
18
+ 30y
17
+ ··· + 264y + 25)(y
58
+ 75y
57
+ ··· + 81523y + 1444)
c
4
, c
11
(y
18
+ 13y
17
+ ··· + 8y + 1)(y
58
+ 2y
57
+ ··· + 4120y + 2209)
c
5
(y
18
+ 22y
17
+ ··· + 166y + 25)(y
58
+ 31y
57
+ ··· + 80523y + 13924)
c
7
, c
10
(y
18
− 18y
17
+ ··· + 224y + 49)(y
58
− 53y
57
+ ··· − 18700y + 625)
c
8
, c
12
(y
18
+ 13y
17
+ ··· − 23y + 1)(y
58
+ 90y
57
+ ··· + 3009893y + 72361)
c
9
(y
18
− 16y
17
+ ··· − 16y + 1)(y
58
− 23y
57
+ ··· − 9020y + 9409)
19
