12n
0515
(K12n
0515
)
A knot diagram
1
Linearized knot diagam
3 6 10 8 2 12 5 12 4 1 6 9
Solving Sequence
6,12 3,7
2 1 5 8 9 4 11 10
c
6
c
2
c
1
c
5
c
7
c
8
c
4
c
11
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h8.22266 × 10
274
u
59
− 2.15506 × 10
275
u
58
+ ··· + 2.34069 × 10
278
b − 6.04308 × 10
278
,
1.35060 × 10
279
u
59
− 3.78638 × 10
279
u
58
+ ··· + 8.33051 × 10
281
a − 1.96121 × 10
283
,
u
60
− 3u
59
+ ··· − 11482u + 3559i
I
u
2
= h−14967763u
15
− 2907851u
14
+ ··· + 25980989b + 31360586,
50615010u
15
+ 19279984u
14
+ ··· + 25980989a − 107875259,
u
16
+ 2u
14
− 4u
13
− 6u
12
− 4u
11
+ 5u
10
+ 8u
9
+ 28u
8
− 32u
7
+ 25u
6
− 51u
5
+ 36u
4
− 15u
3
+ 13u
2
− 6u + 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
= h8.22 × 10
274
u
59
− 2.16 × 10
275
u
58
+ · · · + 2.34 × 10
278
b − 6.04 ×
10
278
, 1.35 × 10
279
u
59
− 3.79 × 10
279
u
58
+ · · · + 8.33 × 10
281
a − 1.96 ×
10
283
, u
60
− 3u
59
+ · · · − 11482u + 3559i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
3
=
−0.00162127u
59
+ 0.00454519u
58
+ ··· + 14.3091u + 23.5425
−0.000351292u
59
+ 0.000920694u
58
+ ··· − 5.50751u + 2.58176
a
7
=
1
−u
2
a
2
=
−0.00197256u
59
+ 0.00546589u
58
+ ··· + 8.80155u + 26.1243
−0.000351292u
59
+ 0.000920694u
58
+ ··· − 5.50751u + 2.58176
a
1
=
−0.000985855u
59
+ 0.00264770u
58
+ ··· − 12.7756u + 10.9512
0.0000228831u
59
− 0.000129239u
58
+ ··· − 3.83757u − 1.50813
a
5
=
−0.00191681u
59
+ 0.00522142u
58
+ ··· + 7.64525u + 28.4871
−0.000498029u
59
+ 0.00130545u
58
+ ··· − 1.84746u + 4.50416
a
8
=
−0.00166805u
59
+ 0.00435306u
58
+ ··· − 14.8874u + 11.7806
0.000432015u
59
− 0.00114140u
58
+ ··· − 0.328575u − 5.15749
a
9
=
−0.00166805u
59
+ 0.00435306u
58
+ ··· − 14.8874u + 11.7806
0.000199584u
59
− 0.000526762u
58
+ ··· − 1.86786u − 2.84024
a
4
=
−0.000752232u
59
+ 0.00207616u
58
+ ··· + 1.48938u + 14.5021
−0.000400020u
59
+ 0.00107306u
58
+ ··· + 0.385314u + 4.95029
a
11
=
−u
u
a
10
=
0.00242528u
59
− 0.00649531u
58
+ ··· + 11.3474u − 23.9948
0.000228355u
59
− 0.000590475u
58
+ ··· + 7.46556u − 2.03457
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.00130054u
59
− 0.00350454u
58
+ ··· − 11.7943u − 31.3032
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
60
+ 35u
59
+ ··· + 2933u + 361
c
2
, c
5
u
60
+ u
59
+ ··· − 27u − 19
c
3
, c
9
u
60
+ u
59
+ ··· + 46u − 43
c
4
, c
7
u
60
− 4u
59
+ ··· − 12u + 1
c
6
, c
11
u
60
− 3u
59
+ ··· − 11482u + 3559
c
8
, c
12
u
60
+ 3u
59
+ ··· + 568u + 23
c
10
u
60
+ u
59
+ ··· + 15055u − 761
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
60
− 11y
59
+ ··· − 3170161y + 130321
c
2
, c
5
y
60
− 35y
59
+ ··· − 2933y + 361
c
3
, c
9
y
60
+ 49y
59
+ ··· + 10526y + 1849
c
4
, c
7
y
60
+ 2y
59
+ ··· − 46y + 1
c
6
, c
11
y
60
+ 65y
59
+ ··· − 502242808y + 12666481
c
8
, c
12
y
60
− 47y
59
+ ··· − 56882y + 529
c
10
y
60
− 23y
59
+ ··· − 95786899y + 579121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.007350 + 0.006718I
a = −0.051105 − 0.783732I
b = −0.856821 + 0.663890I
8.73644 + 2.57827I 3.69883 − 3.02158I
u = −1.007350 − 0.006718I
a = −0.051105 + 0.783732I
b = −0.856821 − 0.663890I
8.73644 − 2.57827I 3.69883 + 3.02158I
u = 0.167317 + 1.021400I
a = −0.69860 − 1.40758I
b = 0.176226 + 0.887745I
3.79265 − 1.97736I 0.36666 + 2.76154I
u = 0.167317 − 1.021400I
a = −0.69860 + 1.40758I
b = 0.176226 − 0.887745I
3.79265 + 1.97736I 0.36666 − 2.76154I
u = 0.120119 + 0.949857I
a = 0.243764 − 0.379978I
b = 0.032250 + 0.520457I
−0.77619 + 1.28470I −6.96269 − 5.03629I
u = 0.120119 − 0.949857I
a = 0.243764 + 0.379978I
b = 0.032250 − 0.520457I
−0.77619 − 1.28470I −6.96269 + 5.03629I
u = −0.436643 + 0.834573I
a = 0.916522 + 0.292944I
b = −0.973516 + 0.318596I
−0.52721 − 1.87425I −8.40865 + 2.07235I
u = −0.436643 − 0.834573I
a = 0.916522 − 0.292944I
b = −0.973516 − 0.318596I
−0.52721 + 1.87425I −8.40865 − 2.07235I
u = 0.233820 + 1.070940I
a = −0.287355 − 0.183543I
b = 0.439508 + 0.589156I
−0.817883 + 0.949182I −8.00000 + 0.I
u = 0.233820 − 1.070940I
a = −0.287355 + 0.183543I
b = 0.439508 − 0.589156I
−0.817883 − 0.949182I −8.00000 + 0.I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.783519 + 0.441750I
a = 1.19806 − 1.78599I
b = −0.902727 + 1.012570I
2.59861 + 3.60251I −5.47993 − 4.86448I
u = −0.783519 − 0.441750I
a = 1.19806 + 1.78599I
b = −0.902727 − 1.012570I
2.59861 − 3.60251I −5.47993 + 4.86448I
u = −0.346136 + 1.116180I
a = −0.69410 + 1.24191I
b = −1.129160 − 0.396009I
−3.89834 − 2.15588I 0
u = −0.346136 − 1.116180I
a = −0.69410 − 1.24191I
b = −1.129160 + 0.396009I
−3.89834 + 2.15588I 0
u = −1.280030 + 0.312941I
a = −0.02697 − 1.54626I
b = 0.907660 + 0.163934I
5.59454 − 0.79177I 0
u = −1.280030 − 0.312941I
a = −0.02697 + 1.54626I
b = 0.907660 − 0.163934I
5.59454 + 0.79177I 0
u = 0.673670 + 0.088043I
a = −1.13855 + 0.86484I
b = 1.018250 − 0.455571I
1.34053 + 2.69149I −4.70869 − 3.74095I
u = 0.673670 − 0.088043I
a = −1.13855 − 0.86484I
b = 1.018250 + 0.455571I
1.34053 − 2.69149I −4.70869 + 3.74095I
u = 0.179970 + 1.330630I
a = 0.613950 + 1.012280I
b = 1.119500 − 0.531381I
−2.96619 + 5.50433I 0
u = 0.179970 − 1.330630I
a = 0.613950 − 1.012280I
b = 1.119500 + 0.531381I
−2.96619 − 5.50433I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.342990 + 0.174597I
a = −0.48406 − 1.61748I
b = 0.662047 + 0.683351I
3.31510 − 2.64385I 0
u = 1.342990 − 0.174597I
a = −0.48406 + 1.61748I
b = 0.662047 − 0.683351I
3.31510 + 2.64385I 0
u = 0.631122 + 0.052699I
a = −0.61769 − 1.35412I
b = 0.921626 + 0.670766I
1.60978 − 2.58403I −1.183332 − 0.037949I
u = 0.631122 − 0.052699I
a = −0.61769 + 1.35412I
b = 0.921626 − 0.670766I
1.60978 + 2.58403I −1.183332 + 0.037949I
u = −0.520152 + 0.044751I
a = 2.22330 + 0.65037I
b = −0.529944 − 0.260822I
−1.347560 + 0.092496I −5.86116 + 1.61635I
u = −0.520152 − 0.044751I
a = 2.22330 − 0.65037I
b = −0.529944 + 0.260822I
−1.347560 − 0.092496I −5.86116 − 1.61635I
u = 0.37351 + 1.47885I
a = −0.042265 + 0.991284I
b = 0.254547 − 0.892528I
−2.44888 − 1.09682I 0
u = 0.37351 − 1.47885I
a = −0.042265 − 0.991284I
b = 0.254547 + 0.892528I
−2.44888 + 1.09682I 0
u = 0.379838 + 0.129064I
a = −2.69838 − 0.75915I
b = 0.310209 − 0.552194I
2.41343 − 4.02201I −2.17904 + 4.26768I
u = 0.379838 − 0.129064I
a = −2.69838 + 0.75915I
b = 0.310209 + 0.552194I
2.41343 + 4.02201I −2.17904 − 4.26768I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.342835
a = 1.82728
b = −0.751050
−0.992150 −10.3910
u = −0.45172 + 1.60124I
a = −0.073209 + 1.127150I
b = 0.012328 − 0.990813I
−6.51294 − 4.15782I 0
u = −0.45172 − 1.60124I
a = −0.073209 − 1.127150I
b = 0.012328 + 0.990813I
−6.51294 + 4.15782I 0
u = 0.296399 + 0.062088I
a = 1.87004 − 4.59300I
b = −0.931163 − 0.266156I
−2.29321 − 2.81632I −7.40161 + 5.36260I
u = 0.296399 − 0.062088I
a = 1.87004 + 4.59300I
b = −0.931163 + 0.266156I
−2.29321 + 2.81632I −7.40161 − 5.36260I
u = −0.171614 + 0.220877I
a = −0.57331 − 3.91406I
b = 1.079170 − 0.455056I
0.20500 + 8.08474I −6.89819 − 9.56475I
u = −0.171614 − 0.220877I
a = −0.57331 + 3.91406I
b = 1.079170 + 0.455056I
0.20500 − 8.08474I −6.89819 + 9.56475I
u = −1.72762
a = −0.420167
b = 1.16186
−5.68066 0
u = 0.13406 + 1.78859I
a = −0.020787 − 1.023100I
b = 1.223600 + 0.590393I
−5.36689 − 6.58267I 0
u = 0.13406 − 1.78859I
a = −0.020787 + 1.023100I
b = 1.223600 − 0.590393I
−5.36689 + 6.58267I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.54349 + 1.71557I
a = 0.182247 + 1.206790I
b = −0.223941 − 1.051210I
−2.29420 + 9.43598I 0
u = 0.54349 − 1.71557I
a = 0.182247 − 1.206790I
b = −0.223941 + 1.051210I
−2.29420 − 9.43598I 0
u = 0.36459 + 1.77723I
a = −0.882179 − 0.158077I
b = −0.848721 − 0.077580I
0.50904 − 3.72563I 0
u = 0.36459 − 1.77723I
a = −0.882179 + 0.158077I
b = −0.848721 + 0.077580I
0.50904 + 3.72563I 0
u = 0.96428 + 1.53998I
a = −0.035444 − 1.020920I
b = −1.264660 + 0.346449I
−7.16461 + 2.87399I 0
u = 0.96428 − 1.53998I
a = −0.035444 + 1.020920I
b = −1.264660 − 0.346449I
−7.16461 − 2.87399I 0
u = 0.22234 + 1.88376I
a = 0.101412 + 0.495797I
b = 1.213340 − 0.305461I
−4.20439 + 4.30937I 0
u = 0.22234 − 1.88376I
a = 0.101412 − 0.495797I
b = 1.213340 + 0.305461I
−4.20439 − 4.30937I 0
u = 1.67961 + 0.89723I
a = 0.479659 + 0.380032I
b = −1.148550 − 0.220866I
−1.59063 − 4.29713I 0
u = 1.67961 − 0.89723I
a = 0.479659 − 0.380032I
b = −1.148550 + 0.220866I
−1.59063 + 4.29713I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05205 + 1.91687I
a = 0.162195 − 0.881999I
b = −1.327950 + 0.474120I
−10.72230 + 1.07223I 0
u = 0.05205 − 1.91687I
a = 0.162195 + 0.881999I
b = −1.327950 − 0.474120I
−10.72230 − 1.07223I 0
u = −0.94156 + 1.78663I
a = −0.116273 − 1.092550I
b = 1.304530 + 0.496577I
−10.53220 − 9.42728I 0
u = −0.94156 − 1.78663I
a = −0.116273 + 1.092550I
b = 1.304530 − 0.496577I
−10.53220 + 9.42728I 0
u = −0.13842 + 2.02925I
a = −0.253801 − 0.631347I
b = 1.39836 + 0.30006I
−7.82500 + 4.70197I 0
u = −0.13842 − 2.02925I
a = −0.253801 + 0.631347I
b = 1.39836 − 0.30006I
−7.82500 − 4.70197I 0
u = 0.94830 + 1.92269I
a = 0.160247 − 1.197610I
b = −1.275950 + 0.609274I
−5.5691 + 15.3844I 0
u = 0.94830 − 1.92269I
a = 0.160247 + 1.197610I
b = −1.275950 − 0.609274I
−5.5691 − 15.3844I 0
u = −0.69511 + 2.27123I
a = 0.392091 + 0.819280I
b = −1.36545 − 0.50326I
−0.91388 − 7.09123I 0
u = −0.69511 − 2.27123I
a = 0.392091 − 0.819280I
b = −1.36545 + 0.50326I
−0.91388 + 7.09123I 0
10
II.
I
u
2
= h−1.50 × 10
7
u
15
− 2.91 × 10
6
u
14
+ · · · + 2.60 × 10
7
b + 3.14 × 10
7
, 5.06 ×
10
7
u
15
+1.93×10
7
u
14
+· · · +2.60×10
7
a−1.08×10
8
, u
16
+2u
14
+· · · − 6u +1i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
3
=
−1.94816u
15
− 0.742080u
14
+ ··· − 20.2601u + 4.15208
0.576104u
15
+ 0.111922u
14
+ ··· + 7.08162u − 1.20706
a
7
=
1
−u
2
a
2
=
−1.37205u
15
− 0.630158u
14
+ ··· − 13.1784u + 2.94503
0.576104u
15
+ 0.111922u
14
+ ··· + 7.08162u − 1.20706
a
1
=
0.635947u
15
− 0.266901u
14
+ ··· + 9.79214u − 6.41038
0.329868u
15
+ 0.589621u
14
+ ··· − 0.434301u + 2.03882
a
5
=
1.54782u
15
+ 0.0499397u
14
+ ··· + 19.5088u − 4.73371
−1.78902u
15
− 0.836104u
14
+ ··· − 15.5610u + 3.93263
a
8
=
−0.410379u
15
+ 0.364053u
14
+ ··· − 8.98198u + 5.67013
1.06297u
15
+ 0.392340u
14
+ ··· + 8.97100u − 3.59713
a
9
=
−0.410379u
15
+ 0.364053u
14
+ ··· − 8.98198u + 5.67013
1.32987u
15
+ 0.589621u
14
+ ··· + 11.5657u − 3.96118
a
4
=
−1.28768u
15
− 0.560350u
14
+ ··· − 10.7155u + 1.55549
2.08061u
15
+ 1.90825u
14
+ ··· + 12.3794u − 2.05941
a
11
=
−u
u
a
10
=
−0.376194u
15
+ 0.0413337u
14
+ ··· − 5.33982u + 4.04169
−1.16597u
15
− 1.06395u
14
+ ··· − 4.36721u − 0.249796
(ii) Obstruction class = 1
(iii) Cusp Shapes =
171433056
25980989
u
15
+
71506332
25980989
u
14
+ ··· +
1610812870
25980989
u −
747202050
25980989
11
(iv) u-Polynomials at the component
12
Crossings u-Polynomials at each crossing
c
1
u
16
− 8u
15
+ ··· − 11u + 1
c
2
u
16
− 4u
14
+ ··· + u + 1
c
3
u
16
+ 10u
14
+ ··· + 2u + 1
c
4
u
16
− 3u
15
+ ··· − 2u
2
+ 1
c
5
u
16
− 4u
14
+ ··· − u + 1
c
6
u
16
+ 2u
14
+ ··· − 6u + 1
c
7
u
16
+ 3u
15
+ ··· − 2u
2
+ 1
c
8
u
16
+ 4u
15
+ ··· + 4u + 1
c
9
u
16
+ 10u
14
+ ··· − 2u + 1
c
10
u
16
− 12u
15
+ ··· − 39u + 7
c
11
u
16
+ 2u
14
+ ··· + 6u + 1
c
12
u
16
− 4u
15
+ ··· − 4u + 1
13
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
16
+ 8y
15
+ ··· + y + 1
c
2
, c
5
y
16
− 8y
15
+ ··· − 11y + 1
c
3
, c
9
y
16
+ 20y
15
+ ··· + 16y + 1
c
4
, c
7
y
16
+ 9y
15
+ ··· − 4y + 1
c
6
, c
11
y
16
+ 4y
15
+ ··· − 10y + 1
c
8
, c
12
y
16
− 12y
15
+ ··· − 16y + 1
c
10
y
16
+ 14y
14
+ ··· + 299y + 49
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.848678 + 0.085474I
a = −0.348467 + 0.518085I
b = −0.877180 − 0.669466I
8.17515 − 2.59376I −11.23658 + 3.27423I
u = 0.848678 − 0.085474I
a = −0.348467 − 0.518085I
b = −0.877180 + 0.669466I
8.17515 + 2.59376I −11.23658 − 3.27423I
u = −0.197488 + 1.171200I
a = −0.995321 + 0.627483I
b = −1.084020 − 0.313740I
−3.62157 − 3.10177I −11.65478 + 4.58211I
u = −0.197488 − 1.171200I
a = −0.995321 − 0.627483I
b = −1.084020 + 0.313740I
−3.62157 + 3.10177I −11.65478 − 4.58211I
u = −0.358669 + 1.174890I
a = 0.898291 + 0.084340I
b = 0.552813 + 0.248801I
1.24172 + 3.04680I −4.72616 − 0.51189I
u = −0.358669 − 1.174890I
a = 0.898291 − 0.084340I
b = 0.552813 − 0.248801I
1.24172 − 3.04680I −4.72616 + 0.51189I
u = 1.311460 + 0.162263I
a = −0.32990 + 1.75849I
b = 0.884570 − 0.318899I
5.97555 + 1.37057I −3.09878 − 6.37528I
u = 1.311460 − 0.162263I
a = −0.32990 − 1.75849I
b = 0.884570 + 0.318899I
5.97555 − 1.37057I −3.09878 + 6.37528I
u = −0.258625 + 0.594122I
a = 1.52106 + 0.93961I
b = −0.724239 + 0.209142I
−2.15911 − 0.80662I −14.01192 + 1.37171I
u = −0.258625 − 0.594122I
a = 1.52106 − 0.93961I
b = −0.724239 − 0.209142I
−2.15911 + 0.80662I −14.01192 − 1.37171I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42499 + 0.57815I
a = 0.58297 − 1.70738I
b = −0.823392 + 0.939526I
3.90110 + 3.42244I 1.25743 − 7.02245I
u = −1.42499 − 0.57815I
a = 0.58297 + 1.70738I
b = −0.823392 − 0.939526I
3.90110 − 3.42244I 1.25743 + 7.02245I
u = 0.300412 + 0.138730I
a = −1.81674 − 2.37481I
b = 0.864792 + 0.780054I
1.09392 − 2.94039I −12.11036 + 5.85027I
u = 0.300412 − 0.138730I
a = −1.81674 + 2.37481I
b = 0.864792 − 0.780054I
1.09392 + 2.94039I −12.11036 − 5.85027I
u = −0.22078 + 1.83089I
a = −0.011897 + 0.531685I
b = 1.206660 − 0.440272I
−1.44728 + 6.14957I −9.41886 − 5.41107I
u = −0.22078 − 1.83089I
a = −0.011897 − 0.531685I
b = 1.206660 + 0.440272I
−1.44728 − 6.14957I −9.41886 + 5.41107I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
16
− 8u
15
+ ··· − 11u + 1)(u
60
+ 35u
59
+ ··· + 2933u + 361)
c
2
(u
16
− 4u
14
+ ··· + u + 1)(u
60
+ u
59
+ ··· − 27u − 19)
c
3
(u
16
+ 10u
14
+ ··· + 2u + 1)(u
60
+ u
59
+ ··· + 46u − 43)
c
4
(u
16
− 3u
15
+ ··· − 2u
2
+ 1)(u
60
− 4u
59
+ ··· − 12u + 1)
c
5
(u
16
− 4u
14
+ ··· − u + 1)(u
60
+ u
59
+ ··· − 27u − 19)
c
6
(u
16
+ 2u
14
+ ··· − 6u + 1)(u
60
− 3u
59
+ ··· − 11482u + 3559)
c
7
(u
16
+ 3u
15
+ ··· − 2u
2
+ 1)(u
60
− 4u
59
+ ··· − 12u + 1)
c
8
(u
16
+ 4u
15
+ ··· + 4u + 1)(u
60
+ 3u
59
+ ··· + 568u + 23)
c
9
(u
16
+ 10u
14
+ ··· − 2u + 1)(u
60
+ u
59
+ ··· + 46u − 43)
c
10
(u
16
− 12u
15
+ ··· − 39u + 7)(u
60
+ u
59
+ ··· + 15055u − 761)
c
11
(u
16
+ 2u
14
+ ··· + 6u + 1)(u
60
− 3u
59
+ ··· − 11482u + 3559)
c
12
(u
16
− 4u
15
+ ··· − 4u + 1)(u
60
+ 3u
59
+ ··· + 568u + 23)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
16
+ 8y
15
+ ··· + y + 1)(y
60
− 11y
59
+ ··· − 3170161y + 130321)
c
2
, c
5
(y
16
− 8y
15
+ ··· − 11y + 1)(y
60
− 35y
59
+ ··· − 2933y + 361)
c
3
, c
9
(y
16
+ 20y
15
+ ··· + 16y + 1)(y
60
+ 49y
59
+ ··· + 10526y + 1849)
c
4
, c
7
(y
16
+ 9y
15
+ ··· − 4y + 1)(y
60
+ 2y
59
+ ··· − 46y + 1)
c
6
, c
11
(y
16
+ 4y
15
+ ··· − 10y + 1)
· (y
60
+ 65y
59
+ ··· − 502242808y + 12666481)
c
8
, c
12
(y
16
− 12y
15
+ ··· − 16y + 1)(y
60
− 47y
59
+ ··· − 56882y + 529)
c
10
(y
16
+ 14y
14
+ ··· + 299y + 49)
· (y
60
− 23y
59
+ ··· − 95786899y + 579121)
19
