12a
1063
(K12a
1063
)
A knot diagram
1
Linearized knot diagam
4 7 9 12 11 10 3 1 2 6 5 8
Solving Sequence
8,12
1
5,9
4 2 3 7 11 6 10
c
12
c
8
c
4
c
1
c
3
c
7
c
11
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h6.41268 × 10
106
u
66
+ 5.37842 × 10
106
u
65
+ ··· + 7.96827 × 10
105
b + 2.18486 × 10
108
,
− 5.09982 × 10
109
u
66
− 3.33786 × 10
109
u
65
+ ··· + 1.77932 × 10
109
a − 1.54505 × 10
111
,
u
67
− 18u
65
+ ··· + 34u − 29i
I
u
2
= h−u
11
− 2u
10
+ 3u
9
+ 8u
8
− 7u
7
− 21u
6
+ 7u
5
+ 27u
4
− 4u
3
− 20u
2
+ b + u + 5,
− 2u
12
+ 10u
10
+ 2u
9
− 32u
8
− 4u
7
+ 58u
6
+ 6u
5
− 66u
4
− 2u
3
+ 41u
2
+ a − 12,
u
13
+ u
12
− 4u
11
− 5u
10
+ 11u
9
+ 13u
8
− 16u
7
− 19u
6
+ 14u
5
+ 15u
4
− 6u
3
− 6u
2
+ u + 1i
* 2 irreducible components of dim
C
= 0, with total 80 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
= h6.41 × 10
106
u
66
+ 5.38 × 10
106
u
65
+ · · · + 7.97 × 10
105
b + 2.18 ×
10
108
, −5.10 × 10
109
u
66
− 3.34 × 10
109
u
65
+ · · · + 1.78 × 10
109
a − 1.55 ×
10
111
, u
67
− 18u
65
+ · · · + 34u − 29i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
2.86617u
66
+ 1.87592u
65
+ ··· + 26.5482u + 86.8341
−8.04777u
66
− 6.74979u
65
+ ··· + 1.01965u − 274.195
a
9
=
−u
−u
3
+ u
a
4
=
−5.18160u
66
− 4.87387u
65
+ ··· + 27.5678u − 187.361
−8.04777u
66
− 6.74979u
65
+ ··· + 1.01965u − 274.195
a
2
=
−0.569565u
66
+ 0.302604u
65
+ ··· − 60.1340u + 38.1233
−5.45740u
66
− 5.15294u
65
+ ··· + 17.0431u − 197.550
a
3
=
1.53537u
66
+ 0.976716u
65
+ ··· + 16.9891u + 52.7642
−10.1163u
66
− 8.67159u
65
+ ··· + 7.47077u − 344.653
a
7
=
1.29876u
66
+ 0.433635u
65
+ ··· + 24.4829u + 22.4634
−6.76250u
66
− 5.55933u
65
+ ··· − 10.3127u − 235.152
a
11
=
−8.09315u
66
− 7.31257u
65
+ ··· + 4.35672u − 276.655
−1.69292u
66
− 1.39081u
65
+ ··· − 4.92421u − 54.8481
a
6
=
4.79638u
66
+ 3.91190u
65
+ ··· + 9.42862u + 183.767
9.31661u
66
+ 7.79591u
65
+ ··· + 0.327753u + 313.089
a
10
=
3.20540u
66
+ 2.54543u
65
+ ··· − 1.99013u + 114.771
3.37305u
66
+ 3.10208u
65
+ ··· − 4.99752u + 106.804
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.24398u
66
− 2.83903u
65
+ ··· + 14.5192u − 13.8222
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
67
− 11u
66
+ ··· + 187u − 13
c
2
, c
7
u
67
− 28u
65
+ ··· − 926u − 317
c
3
u
67
− u
66
+ ··· − 5u − 1
c
4
, c
5
, c
6
c
10
, c
11
u
67
+ u
66
+ ··· + 15u − 1
c
8
, c
12
u
67
− 18u
65
+ ··· + 34u − 29
c
9
u
67
+ 3u
66
+ ··· + 82237u + 97193
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
67
+ 5y
66
+ ··· − 3199y −169
c
2
, c
7
y
67
− 56y
66
+ ··· + 1949858y −100489
c
3
y
67
+ 5y
66
+ ··· + 13y −1
c
4
, c
5
, c
6
c
10
, c
11
y
67
+ 93y
66
+ ··· + 75y −1
c
8
, c
12
y
67
− 36y
66
+ ··· + 4694y −841
c
9
y
67
− 31y
66
+ ··· + 176544321833y −9446479249
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.911539 + 0.421875I
a = −0.068762 + 0.784351I
b = 0.379133 − 1.265230I
6.39745 − 0.28170I 3.68167 + 1.63128I
u = 0.911539 − 0.421875I
a = −0.068762 − 0.784351I
b = 0.379133 + 1.265230I
6.39745 + 0.28170I 3.68167 − 1.63128I
u = −0.957914 + 0.261576I
a = −0.867716 + 0.026848I
b = −0.344734 − 0.548883I
−2.09647 + 1.32539I −5.24417 + 2.03553I
u = −0.957914 − 0.261576I
a = −0.867716 − 0.026848I
b = −0.344734 + 0.548883I
−2.09647 − 1.32539I −5.24417 − 2.03553I
u = 0.941880 + 0.411762I
a = 2.83735 − 1.30126I
b = −0.00731 + 1.74185I
16.3104 + 0.6556I 0
u = 0.941880 − 0.411762I
a = 2.83735 + 1.30126I
b = −0.00731 − 1.74185I
16.3104 − 0.6556I 0
u = −0.933354 + 0.492729I
a = −1.87664 − 0.85621I
b = −0.11584 + 1.74926I
16.8834 + 5.6261I 0
u = −0.933354 − 0.492729I
a = −1.87664 + 0.85621I
b = −0.11584 − 1.74926I
16.8834 − 5.6261I 0
u = 0.044204 + 0.937111I
a = 0.36495 + 2.34631I
b = 0.01639 − 1.74788I
14.4001 + 2.3576I 2.94594 − 2.68766I
u = 0.044204 − 0.937111I
a = 0.36495 − 2.34631I
b = 0.01639 + 1.74788I
14.4001 − 2.3576I 2.94594 + 2.68766I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.213053 + 0.888666I
a = 0.231539 − 0.140350I
b = −0.496535 + 0.391220I
3.80122 + 3.48677I 1.50459 − 6.08806I
u = 0.213053 − 0.888666I
a = 0.231539 + 0.140350I
b = −0.496535 − 0.391220I
3.80122 − 3.48677I 1.50459 + 6.08806I
u = −0.846245 + 0.321552I
a = 0.61208 + 2.38869I
b = 0.093534 − 1.199810I
6.13436 + 3.42440I 3.18390 − 7.59222I
u = −0.846245 − 0.321552I
a = 0.61208 − 2.38869I
b = 0.093534 + 1.199810I
6.13436 − 3.42440I 3.18390 + 7.59222I
u = −0.820163 + 0.327205I
a = 2.81348 + 0.85529I
b = −0.036223 − 1.035500I
6.25055 − 0.48911I 3.45164 − 1.01139I
u = −0.820163 − 0.327205I
a = 2.81348 − 0.85529I
b = −0.036223 + 1.035500I
6.25055 + 0.48911I 3.45164 + 1.01139I
u = −1.123370 + 0.096274I
a = 0.424475 + 0.075853I
b = 0.494247 − 0.014050I
−1.62181 + 0.02269I 0
u = −1.123370 − 0.096274I
a = 0.424475 − 0.075853I
b = 0.494247 + 0.014050I
−1.62181 − 0.02269I 0
u = 1.096340 + 0.265900I
a = 0.267621 − 0.835654I
b = 0.182943 + 0.611667I
0.46218 − 2.47238I 0
u = 1.096340 − 0.265900I
a = 0.267621 + 0.835654I
b = 0.182943 − 0.611667I
0.46218 + 2.47238I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.743213 + 0.435398I
a = −1.70976 + 0.61628I
b = −0.427277 − 1.048580I
6.92279 − 3.34780I 4.36116 + 6.70161I
u = 0.743213 − 0.435398I
a = −1.70976 − 0.61628I
b = −0.427277 + 1.048580I
6.92279 + 3.34780I 4.36116 − 6.70161I
u = −0.714727 + 0.462622I
a = −0.40015 − 1.74859I
b = 0.07625 + 1.80066I
17.6004 − 1.6619I 3.32730 − 2.13677I
u = −0.714727 − 0.462622I
a = −0.40015 + 1.74859I
b = 0.07625 − 1.80066I
17.6004 + 1.6619I 3.32730 + 2.13677I
u = 0.849913 + 0.004699I
a = −0.983320 + 0.357317I
b = −0.08597 − 1.49062I
4.71376 − 0.13480I −1.92495 − 0.89580I
u = 0.849913 − 0.004699I
a = −0.983320 − 0.357317I
b = −0.08597 + 1.49062I
4.71376 + 0.13480I −1.92495 + 0.89580I
u = 1.101520 + 0.374248I
a = −0.963347 + 0.246989I
b = −0.454819 − 0.219630I
−3.04650 − 4.08120I 0
u = 1.101520 − 0.374248I
a = −0.963347 − 0.246989I
b = −0.454819 + 0.219630I
−3.04650 + 4.08120I 0
u = −0.341431 + 1.121720I
a = 0.12904 + 1.42741I
b = −0.274364 − 1.120720I
8.54942 − 6.13683I 0
u = −0.341431 − 1.121720I
a = 0.12904 − 1.42741I
b = −0.274364 + 1.120720I
8.54942 + 6.13683I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.746384 + 0.348296I
a = 0.84623 − 3.50024I
b = 0.02510 + 1.78045I
17.0237 − 3.9581I 3.89654 + 9.21023I
u = 0.746384 − 0.348296I
a = 0.84623 + 3.50024I
b = 0.02510 − 1.78045I
17.0237 + 3.9581I 3.89654 − 9.21023I
u = −1.082940 + 0.474938I
a = 0.248068 − 0.033853I
b = 0.714167 + 0.431814I
1.03521 + 4.14529I 0
u = −1.082940 − 0.474938I
a = 0.248068 + 0.033853I
b = 0.714167 − 0.431814I
1.03521 − 4.14529I 0
u = 1.079690 + 0.515780I
a = 0.713191 − 0.915829I
b = 0.273936 + 0.839036I
0.92752 − 2.65769I 0
u = 1.079690 − 0.515780I
a = 0.713191 + 0.915829I
b = 0.273936 − 0.839036I
0.92752 + 2.65769I 0
u = −0.018771 + 0.740103I
a = 0.431980 − 1.337100I
b = 0.079739 + 1.078310I
4.17715 − 1.98310I 2.56146 + 3.70281I
u = −0.018771 − 0.740103I
a = 0.431980 + 1.337100I
b = 0.079739 − 1.078310I
4.17715 + 1.98310I 2.56146 − 3.70281I
u = −1.178940 + 0.464130I
a = −1.40653 − 0.63700I
b = −0.220716 + 1.038570I
0.87789 + 6.35203I 0
u = −1.178940 − 0.464130I
a = −1.40653 + 0.63700I
b = −0.220716 − 1.038570I
0.87789 − 6.35203I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.122660 + 0.661871I
a = −0.367437 − 0.393087I
b = −0.152890 + 0.112531I
−1.43076 + 2.95792I 0
u = −1.122660 − 0.661871I
a = −0.367437 + 0.393087I
b = −0.152890 − 0.112531I
−1.43076 − 2.95792I 0
u = 1.178950 + 0.557960I
a = 0.558551 − 0.569218I
b = 0.692203 + 0.382382I
0.92610 − 8.69550I 0
u = 1.178950 − 0.557960I
a = 0.558551 + 0.569218I
b = 0.692203 − 0.382382I
0.92610 + 8.69550I 0
u = 1.265620 + 0.334731I
a = 0.186332 − 0.590266I
b = 0.082577 + 0.794541I
0.48620 − 2.41088I 0
u = 1.265620 − 0.334731I
a = 0.186332 + 0.590266I
b = 0.082577 − 0.794541I
0.48620 + 2.41088I 0
u = 0.420195 + 1.250040I
a = 0.02300 − 2.32999I
b = −0.07232 + 1.75620I
18.8867 + 7.6160I 0
u = 0.420195 − 1.250040I
a = 0.02300 + 2.32999I
b = −0.07232 − 1.75620I
18.8867 − 7.6160I 0
u = 1.230230 + 0.520266I
a = −1.78301 + 1.11346I
b = −0.05364 − 1.73952I
10.86760 − 7.46054I 0
u = 1.230230 − 0.520266I
a = −1.78301 − 1.11346I
b = −0.05364 + 1.73952I
10.86760 + 7.46054I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.231260 + 0.654159I
a = 1.03386 + 1.13547I
b = 0.388039 − 1.148360I
5.71543 + 12.37830I 0
u = −1.231260 − 0.654159I
a = 1.03386 − 1.13547I
b = 0.388039 + 1.148360I
5.71543 − 12.37830I 0
u = 0.596247
a = 3.27483
b = −0.118694
2.72187 12.3220
u = 1.12092 + 0.89509I
a = −0.68795 + 1.40826I
b = −0.067573 − 1.025250I
2.21541 − 3.67806I 0
u = 1.12092 − 0.89509I
a = −0.68795 − 1.40826I
b = −0.067573 + 1.025250I
2.21541 + 3.67806I 0
u = −1.19452 + 0.83368I
a = 0.91628 + 1.74672I
b = 0.05898 − 1.67729I
9.79865 + 3.85767I 0
u = −1.19452 − 0.83368I
a = 0.91628 − 1.74672I
b = 0.05898 + 1.67729I
9.79865 − 3.85767I 0
u = 1.26546 + 0.72436I
a = 1.44566 − 1.62417I
b = 0.10415 + 1.76501I
16.1228 − 14.4972I 0
u = 1.26546 − 0.72436I
a = 1.44566 + 1.62417I
b = 0.10415 − 1.76501I
16.1228 + 14.4972I 0
u = −0.296599 + 0.423750I
a = −1.15875 − 1.48670I
b = −0.560900 + 0.176078I
3.22258 − 0.18308I 2.15559 − 1.99431I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.296599 − 0.423750I
a = −1.15875 + 1.48670I
b = −0.560900 − 0.176078I
3.22258 + 0.18308I 2.15559 + 1.99431I
u = −1.15139 + 1.01536I
a = −0.88854 − 2.15557I
b = −0.01667 + 1.73768I
12.20050 + 4.02011I 0
u = −1.15139 − 1.01536I
a = −0.88854 + 2.15557I
b = −0.01667 − 1.73768I
12.20050 − 4.02011I 0
u = −1.50528 + 0.32689I
a = 0.381459 + 1.002880I
b = 0.02627 − 1.70300I
9.62458 + 2.88325I 0
u = −1.50528 − 0.32689I
a = 0.381459 − 1.002880I
b = 0.02627 + 1.70300I
9.62458 − 2.88325I 0
u = 0.012338 + 0.390395I
a = 0.680053 + 0.166258I
b = 0.259476 − 0.310609I
−0.212950 + 0.924843I −4.32360 − 7.27675I
u = 0.012338 − 0.390395I
a = 0.680053 − 0.166258I
b = 0.259476 + 0.310609I
−0.212950 − 0.924843I −4.32360 + 7.27675I
11
II.
I
u
2
= h−u
11
−2u
10
+· · ·+b+5, −2u
12
+10u
10
+· · ·+a−12, u
13
+u
12
+· · ·+u+1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
2u
12
− 10u
10
+ ··· − 41u
2
+ 12
u
11
+ 2u
10
+ ··· − u − 5
a
9
=
−u
−u
3
+ u
a
4
=
2u
12
+ u
11
+ ··· − u + 7
u
11
+ 2u
10
+ ··· − u − 5
a
2
=
−6u
12
+ 29u
10
+ ··· − u − 21
4u
12
− 19u
10
+ ··· + u + 9
a
3
=
u
12
− 5u
10
− u
9
+ 16u
8
+ 2u
7
− 29u
6
− 3u
5
+ 33u
4
+ u
3
− 21u
2
+ 7
u
11
+ 2u
10
+ ··· − u − 5
a
7
=
7u
12
+ 6u
11
+ ··· − 21u + 7
−5u
12
− 5u
11
+ ··· + 10u − 4
a
11
=
7u
12
− u
11
+ ··· + 3u + 20
−6u
12
− 3u
11
+ ··· + 3u − 4
a
6
=
7u
12
+ u
11
+ ··· + 6u + 2
5u
12
+ 3u
11
+ ··· − 9u + 10
a
10
=
−15u
12
− 10u
11
+ ··· + 17u − 14
5u
12
+ 2u
11
+ ··· + 3u + 4
(ii) Obstruction class = 1
(iii) Cusp Shapes =
−22u
12
−4u
11
+96u
10
+37u
9
−287u
8
−73u
7
+450u
6
+101u
5
−431u
4
−33u
3
+190u
2
+9u−35
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
13
− 4u
10
+ 4u
9
+ 3u
8
− 3u
7
− 5u
6
+ 7u
5
+ u
4
− 8u
3
+ 8u
2
− 4u + 1
c
2
u
13
+ u
12
+ ··· + u + 1
c
3
u
13
+ 2u
11
+ u
10
− u
9
+ 3u
8
+ 3u
6
+ u
5
+ 5u
4
+ u
3
+ 2u
2
+ 1
c
4
, c
5
, c
6
u
13
+ 10u
11
+ 38u
9
+ 68u
7
+ 57u
5
+ u
4
+ 18u
3
+ 3u
2
+ 1
c
7
u
13
− u
12
+ ··· + u − 1
c
8
u
13
− u
12
+ ··· + u − 1
c
9
u
13
+ 2u
11
+ u
10
+ 5u
9
+ u
8
+ 3u
7
+ 3u
5
− u
4
+ u
3
+ 2u
2
+ 1
c
10
, c
11
u
13
+ 10u
11
+ 38u
9
+ 68u
7
+ 57u
5
− u
4
+ 18u
3
− 3u
2
− 1
c
12
u
13
+ u
12
+ ··· + u + 1
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
13
+ 8y
11
+ ··· − 2y
2
− 1
c
2
, c
7
y
13
− 13y
12
+ ··· + 9y −1
c
3
y
13
+ 4y
12
+ ··· − 4y −1
c
4
, c
5
, c
6
c
10
, c
11
y
13
+ 20y
12
+ ··· − 6y −1
c
8
, c
12
y
13
− 9y
12
+ ··· + 13y −1
c
9
y
13
+ 4y
12
+ ··· − 4y −1
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.948079 + 0.324385I
a = 0.368012 − 0.605111I
b = −0.09053 + 1.45630I
4.91032 − 1.37133I −0.29295 + 5.20513I
u = 0.948079 − 0.324385I
a = 0.368012 + 0.605111I
b = −0.09053 − 1.45630I
4.91032 + 1.37133I −0.29295 − 5.20513I
u = −1.065680 + 0.520913I
a = −0.262500 + 0.011383I
b = −0.192457 − 0.338010I
−1.17515 + 2.48894I −1.25946 + 0.71875I
u = −1.065680 − 0.520913I
a = −0.262500 − 0.011383I
b = −0.192457 + 0.338010I
−1.17515 − 2.48894I −1.25946 − 0.71875I
u = −0.694325
a = 2.63071
b = 0.374429
2.39492 −13.5690
u = 0.675349 + 0.131621I
a = 2.35416 − 1.40865I
b = 0.222851 + 1.128390I
6.17686 − 2.12086I 1.85400 + 1.87010I
u = 0.675349 − 0.131621I
a = 2.35416 + 1.40865I
b = 0.222851 − 1.128390I
6.17686 + 2.12086I 1.85400 − 1.87010I
u = −0.599201 + 0.212216I
a = 2.16027 + 2.86084I
b = 0.04446 − 1.77839I
16.8528 + 3.2097I 1.39084 + 0.39958I
u = −0.599201 − 0.212216I
a = 2.16027 − 2.86084I
b = 0.04446 + 1.77839I
16.8528 − 3.2097I 1.39084 − 0.39958I
u = 1.21798 + 0.74418I
a = −0.622349 + 0.939240I
b = −0.132288 − 0.825196I
0.45906 − 3.58419I −3.02279 + 8.10522I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.21798 − 0.74418I
a = −0.622349 − 0.939240I
b = −0.132288 + 0.825196I
0.45906 + 3.58419I −3.02279 − 8.10522I
u = −1.32936 + 0.92121I
a = −0.81295 − 1.73337I
b = −0.03925 + 1.68347I
9.41212 + 4.26962I −4.38533 − 8.77522I
u = −1.32936 − 0.92121I
a = −0.81295 + 1.73337I
b = −0.03925 − 1.68347I
9.41212 − 4.26962I −4.38533 + 8.77522I
16
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
13
− 4u
10
+ 4u
9
+ 3u
8
− 3u
7
− 5u
6
+ 7u
5
+ u
4
− 8u
3
+ 8u
2
− 4u + 1)
· (u
67
− 11u
66
+ ··· + 187u − 13)
c
2
(u
13
+ u
12
+ ··· + u + 1)(u
67
− 28u
65
+ ··· − 926u − 317)
c
3
(u
13
+ 2u
11
+ u
10
− u
9
+ 3u
8
+ 3u
6
+ u
5
+ 5u
4
+ u
3
+ 2u
2
+ 1)
· (u
67
− u
66
+ ··· − 5u − 1)
c
4
, c
5
, c
6
(u
13
+ 10u
11
+ 38u
9
+ 68u
7
+ 57u
5
+ u
4
+ 18u
3
+ 3u
2
+ 1)
· (u
67
+ u
66
+ ··· + 15u − 1)
c
7
(u
13
− u
12
+ ··· + u − 1)(u
67
− 28u
65
+ ··· − 926u − 317)
c
8
(u
13
− u
12
+ ··· + u − 1)(u
67
− 18u
65
+ ··· + 34u − 29)
c
9
(u
13
+ 2u
11
+ u
10
+ 5u
9
+ u
8
+ 3u
7
+ 3u
5
− u
4
+ u
3
+ 2u
2
+ 1)
· (u
67
+ 3u
66
+ ··· + 82237u + 97193)
c
10
, c
11
(u
13
+ 10u
11
+ 38u
9
+ 68u
7
+ 57u
5
− u
4
+ 18u
3
− 3u
2
− 1)
· (u
67
+ u
66
+ ··· + 15u − 1)
c
12
(u
13
+ u
12
+ ··· + u + 1)(u
67
− 18u
65
+ ··· + 34u − 29)
17
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
13
+ 8y
11
+ ··· − 2y
2
− 1)(y
67
+ 5y
66
+ ··· − 3199y −169)
c
2
, c
7
(y
13
− 13y
12
+ ··· + 9y −1)(y
67
− 56y
66
+ ··· + 1949858y −100489)
c
3
(y
13
+ 4y
12
+ ··· − 4y −1)(y
67
+ 5y
66
+ ··· + 13y −1)
c
4
, c
5
, c
6
c
10
, c
11
(y
13
+ 20y
12
+ ··· − 6y −1)(y
67
+ 93y
66
+ ··· + 75y −1)
c
8
, c
12
(y
13
− 9y
12
+ ··· + 13y −1)(y
67
− 36y
66
+ ··· + 4694y −841)
c
9
(y
13
+ 4y
12
+ ··· − 4y −1)
· (y
67
− 31y
66
+ ··· + 176544321833y −9446479249)
18
