12n
0541
(K12n
0541
)
A knot diagram
1
Linearized knot diagam
3 5 11 9 2 10 5 12 7 3 4 8
Solving Sequence
4,9 5,11
12 3 2 1 8 7 10 6
c
4
c
11
c
3
c
2
c
1
c
8
c
7
c
10
c
6
c
5
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.87639 × 10
132
u
57
+ 2.50106 × 10
132
u
56
+ ··· + 2.99453 × 10
133
b − 8.33073 × 10
134
,
2.36705 × 10
135
u
57
− 2.44899 × 10
134
u
56
+ ··· + 2.90469 × 10
135
a + 2.58804 × 10
137
,
u
58
− u
57
+ ··· + 1784u − 97i
I
u
2
= h8348u
16
+ 3209u
15
+ ··· + 199783b + 57302, −39879u
16
+ 47300u
15
+ ··· + 199783a + 155745,
u
17
− 2u
16
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 75 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−5.88 × 10
132
u
57
+ 2.50 × 10
132
u
56
+ · · · + 2.99 × 10
133
b − 8.33 ×
10
134
, 2.37 × 10
135
u
57
− 2.45 × 10
134
u
56
+ · · · + 2.90 × 10
135
a + 2.59 ×
10
137
, u
58
− u
57
+ · · · + 1784u − 97i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
11
=
−0.814905u
57
+ 0.0843114u
56
+ ··· + 1564.87u − 89.0986
0.196237u
57
− 0.0835210u
56
+ ··· − 465.329u + 27.8198
a
12
=
−0.618667u
57
+ 0.000790408u
56
+ ··· + 1099.54u − 61.2788
0.196237u
57
− 0.0835210u
56
+ ··· − 465.329u + 27.8198
a
3
=
1.26264u
57
− 0.178664u
56
+ ··· − 2319.14u + 134.740
−0.886420u
57
+ 0.185562u
56
+ ··· + 1779.38u − 102.951
a
2
=
1.24998u
57
− 0.173335u
56
+ ··· − 2287.18u + 132.545
−0.876439u
57
+ 0.192317u
56
+ ··· + 1767.53u − 102.241
a
1
=
−1.47512u
57
+ 0.219193u
56
+ ··· + 3001.64u − 177.485
1.07633u
57
− 0.215056u
56
+ ··· − 2148.64u + 124.617
a
8
=
−1.24859u
57
+ 0.152603u
56
+ ··· + 2443.79u − 145.739
0.383117u
57
− 0.00368130u
56
+ ··· − 639.387u + 36.4933
a
7
=
−0.680762u
57
+ 0.0174945u
56
+ ··· + 1249.05u − 75.9216
0.0844112u
57
+ 0.117389u
56
+ ··· + 77.5028u − 5.48038
a
10
=
1.24700u
57
− 0.233097u
56
+ ··· − 2487.40u + 146.530
−1.82228u
57
+ 0.192500u
56
+ ··· + 3348.40u − 192.831
a
6
=
1.14160u
57
+ 0.209026u
56
+ ··· − 1445.32u + 77.9733
−1.50016u
57
− 0.128282u
56
+ ··· + 2270.12u − 129.468
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0616248u
57
+ 0.0782720u
56
+ ··· + 282.553u − 10.0154
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
58
+ 57u
57
+ ··· − 77375u + 361
c
2
, c
5
u
58
+ 3u
57
+ ··· + 293u − 19
c
3
, c
10
, c
11
u
58
− 2u
57
+ ··· − 334u + 116
c
4
u
58
− u
57
+ ··· + 1784u − 97
c
6
, c
9
u
58
− 4u
57
+ ··· − 11u + 1
c
7
u
58
+ 7u
57
+ ··· − 31992u − 20788
c
8
, c
12
u
58
+ u
57
+ ··· + 14968u − 1819
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
58
− 151y
57
+ ··· − 8652137019y + 130321
c
2
, c
5
y
58
+ 57y
57
+ ··· − 77375y + 361
c
3
, c
10
, c
11
y
58
− 54y
57
+ ··· + 91908y + 13456
c
4
y
58
− 35y
57
+ ··· − 1420360y + 9409
c
6
, c
9
y
58
+ 18y
57
+ ··· − 5y + 1
c
7
y
58
− 23y
57
+ ··· − 4796634792y + 432140944
c
8
, c
12
y
58
+ 33y
57
+ ··· + 9212984y + 3308761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.940914 + 0.335118I
a = 0.070878 + 0.648829I
b = 0.333376 + 0.570263I
1.77937 + 1.64554I 2.35543 − 4.26345I
u = 0.940914 − 0.335118I
a = 0.070878 − 0.648829I
b = 0.333376 − 0.570263I
1.77937 − 1.64554I 2.35543 + 4.26345I
u = 0.533417 + 0.837553I
a = −1.203420 − 0.385244I
b = 0.000815 + 0.660806I
−6.45413 − 3.97977I −0.21992 + 1.71785I
u = 0.533417 − 0.837553I
a = −1.203420 + 0.385244I
b = 0.000815 − 0.660806I
−6.45413 + 3.97977I −0.21992 − 1.71785I
u = 0.965855 + 0.129569I
a = 1.113392 + 0.042885I
b = −1.21907 + 0.95214I
−2.00228 + 1.64608I 6.20898 − 1.56936I
u = 0.965855 − 0.129569I
a = 1.113392 − 0.042885I
b = −1.21907 − 0.95214I
−2.00228 − 1.64608I 6.20898 + 1.56936I
u = −1.007521 + 0.242272I
a = −0.829841 + 0.512646I
b = 0.530354 + 0.625433I
4.33258 − 1.31394I 8.82093 − 0.72054I
u = −1.007521 − 0.242272I
a = −0.829841 − 0.512646I
b = 0.530354 − 0.625433I
4.33258 + 1.31394I 8.82093 + 0.72054I
u = 0.651210 + 0.709503I
a = 0.763151 − 0.282177I
b = −0.553097 − 0.053434I
0.84503 + 2.28235I −1.95290 − 6.63736I
u = 0.651210 − 0.709503I
a = 0.763151 + 0.282177I
b = −0.553097 + 0.053434I
0.84503 − 2.28235I −1.95290 + 6.63736I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.925221 + 0.121993I
a = 2.81123 + 0.85530I
b = −1.335825 − 0.306901I
−2.16189 − 0.49659I 5.68631 − 0.44795I
u = 0.925221 − 0.121993I
a = 2.81123 − 0.85530I
b = −1.335825 + 0.306901I
−2.16189 + 0.49659I 5.68631 + 0.44795I
u = −0.871211 + 0.645662I
a = − 60.488418 + 6.10I
b = −0.408786 + 1.020246I
−6.33690 − 1.89605I 0. + 3.04775I
u = −0.871211 − 0.645662I
a = − 60.488418 − 6.10I
b = −0.408786 − 1.020246I
−6.33690 + 1.89605I 0. − 3.04775I
u = −1.050300 + 0.294172I
a = 2.71489 − 0.03928I
b = −1.272275 + 0.309727I
−3.03611 − 7.19983I 4.74744 + 5.63439I
u = −1.050300 − 0.294172I
a = 2.71489 + 0.03928I
b = −1.272275 − 0.309727I
−3.03611 + 7.19983I 4.74744 − 5.63439I
u = −1.010203 + 0.412736I
a = 1.52613 + 1.10002I
b = −1.65214 + 0.15953I
12.04110 − 1.74691I 11.96174 + 0.I
u = −1.010203 − 0.412736I
a = 1.52613 − 1.10002I
b = −1.65214 − 0.15953I
12.04110 + 1.74691I 11.96174 + 0.I
u = 1.070601 + 0.256261I
a = 0.212194 + 0.279123I
b = 0.232507 + 0.484962I
1.89676 + 1.25482I 2.00000 + 0.I
u = 1.070601 − 0.256261I
a = 0.212194 − 0.279123I
b = 0.232507 − 0.484962I
1.89676 − 1.25482I 2.00000 + 0.I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.764087 + 0.799193I
a = −0.835657 + 0.390939I
b = −0.074847 − 0.721706I
−6.80237 − 3.50038I 0. + 2.31257I
u = −0.764087 − 0.799193I
a = −0.835657 − 0.390939I
b = −0.074847 + 0.721706I
−6.80237 + 3.50038I 0. − 2.31257I
u = 1.080654 + 0.302294I
a = −1.10389 + 1.63263I
b = 1.110899 + 0.164797I
3.68955 + 0.99282I 0. + 5.78441I
u = 1.080654 − 0.302294I
a = −1.10389 − 1.63263I
b = 1.110899 − 0.164797I
3.68955 − 0.99282I 0. − 5.78441I
u = 1.12582
a = −3.41567
b = 1.14657
3.83802 −56.3460
u = −0.855805
a = −2.49525
b = 1.31986
2.77980 −0.400550
u = 1.034985 + 0.489339I
a = −1.84386 + 0.74811I
b = 1.76254 + 0.04368I
9.76113 + 2.08154I 0
u = 1.034985 − 0.489339I
a = −1.84386 − 0.74811I
b = 1.76254 − 0.04368I
9.76113 − 2.08154I 0
u = 1.125366 + 0.516938I
a = 0.355709 + 0.158453I
b = −0.341555 − 1.213756I
−4.45556 + 9.01614I 0
u = 1.125366 − 0.516938I
a = 0.355709 − 0.158453I
b = −0.341555 + 1.213756I
−4.45556 − 9.01614I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.583369 + 0.471942I
a = 0.906827 − 0.159977I
b = −1.056792 − 0.724510I
−4.47025 + 4.18059I 3.66036 + 0.35432I
u = −0.583369 − 0.471942I
a = 0.906827 + 0.159977I
b = −1.056792 + 0.724510I
−4.47025 − 4.18059I 3.66036 − 0.35432I
u = −0.642745 + 1.117227I
a = −0.677478 − 0.528065I
b = 1.38029 + 0.34754I
−2.13403 + 0.38137I 0
u = −0.642745 − 1.117227I
a = −0.677478 + 0.528065I
b = 1.38029 − 0.34754I
−2.13403 − 0.38137I 0
u = −1.266436 + 0.283598I
a = −0.231931 − 0.055908I
b = 0.115661 − 0.792769I
2.77371 − 4.65817I 0
u = −1.266436 − 0.283598I
a = −0.231931 + 0.055908I
b = 0.115661 + 0.792769I
2.77371 + 4.65817I 0
u = 0.133420 + 1.293482I
a = 0.506063 − 0.156731I
b = −1.212023 − 0.070395I
2.31699 + 2.80503I 0
u = 0.133420 − 1.293482I
a = 0.506063 + 0.156731I
b = −1.212023 + 0.070395I
2.31699 − 2.80503I 0
u = −0.092161 + 0.641529I
a = 0.745862 + 0.457465I
b = −0.029115 + 0.407151I
−1.00291 + 1.11740I −3.14500 − 3.42823I
u = −0.092161 − 0.641529I
a = 0.745862 − 0.457465I
b = −0.029115 − 0.407151I
−1.00291 − 1.11740I −3.14500 + 3.42823I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.23862 + 0.71542I
a = −1.60887 − 0.65001I
b = 1.56327 − 0.41113I
0.02922 − 7.12922I 0
u = −1.23862 − 0.71542I
a = −1.60887 + 0.65001I
b = 1.56327 + 0.41113I
0.02922 + 7.12922I 0
u = 0.33316 + 1.48876I
a = −0.535919 + 0.241081I
b = 1.319861 − 0.286645I
−2.23668 − 7.41399I 0
u = 0.33316 − 1.48876I
a = −0.535919 − 0.241081I
b = 1.319861 + 0.286645I
−2.23668 + 7.41399I 0
u = −1.44897 + 0.50507I
a = 1.53403 + 0.66868I
b = −1.36703 + 0.37200I
7.46963 − 8.93919I 0
u = −1.44897 − 0.50507I
a = 1.53403 − 0.66868I
b = −1.36703 − 0.37200I
7.46963 + 8.93919I 0
u = −1.59471 + 0.00998I
a = −1.42842 − 0.37780I
b = 1.233841 − 0.219379I
6.14050 + 1.10464I 0
u = −1.59471 − 0.00998I
a = −1.42842 + 0.37780I
b = 1.233841 + 0.219379I
6.14050 − 1.10464I 0
u = 1.42479 + 0.72384I
a = −1.49680 + 0.55137I
b = 1.53282 + 0.49056I
1.4653 + 15.0640I 0
u = 1.42479 − 0.72384I
a = −1.49680 − 0.55137I
b = 1.53282 − 0.49056I
1.4653 − 15.0640I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.31455 + 0.95653I
a = −0.714101 − 0.583436I
b = 1.147400 − 0.209950I
6.14857 − 4.22250I 0
u = −1.31455 − 0.95653I
a = −0.714101 + 0.583436I
b = 1.147400 + 0.209950I
6.14857 + 4.22250I 0
u = 1.53853 + 0.59391I
a = 1.38151 − 0.46043I
b = −1.375930 − 0.263074I
6.89923 + 4.20846I 0
u = 1.53853 − 0.59391I
a = 1.38151 + 0.46043I
b = −1.375930 + 0.263074I
6.89923 − 4.20846I 0
u = 1.38872 + 0.97759I
a = 1.095330 − 0.541285I
b = −1.42429 − 0.21441I
7.42590 + 4.50935I 0
u = 1.38872 − 0.97759I
a = 1.095330 + 0.541285I
b = −1.42429 + 0.21441I
7.42590 − 4.50935I 0
u = 0.1030383 + 0.0339846I
a = 4.99261 + 2.60125I
b = 0.825929 + 0.148313I
1.42553 + 0.34617I 7.67238 + 0.67525I
u = 0.1030383 − 0.0339846I
a = 4.99261 − 2.60125I
b = 0.825929 − 0.148313I
1.42553 − 0.34617I 7.67238 − 0.67525I
10
II. I
u
2
= h8348u
16
+ 3209u
15
+ · · · + 199783b + 57302, −3.99 × 10
4
u
16
+
4.73 × 10
4
u
15
+ · · · + 2.00 × 10
5
a + 1.56 × 10
5
, u
17
− 2u
16
+ · · · − u + 1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
11
=
0.199612u
16
− 0.236757u
15
+ ··· + 1.87312u − 0.779571
−0.0417853u
16
− 0.0160624u
15
+ ··· − 0.484210u − 0.286821
a
12
=
0.157826u
16
− 0.252819u
15
+ ··· + 1.38891u − 1.06639
−0.0417853u
16
− 0.0160624u
15
+ ··· − 0.484210u − 0.286821
a
3
=
0.139501u
16
+ 1.02080u
15
+ ··· − 0.617520u + 1.83298
−0.297328u
16
+ 0.232017u
15
+ ··· + 0.228608u + 0.233413
a
2
=
−0.0183249u
16
+ 1.27362u
15
+ ··· − 2.00643u + 2.89937
−0.563296u
16
+ 1.26921u
15
+ ··· + 0.133615u + 0.170580
a
1
=
0.295110u
16
− 0.758863u
15
+ ··· + 2.89244u − 1.47504
−0.300636u
16
+ 0.854487u
15
+ ··· − 0.346986u − 0.388962
a
8
=
−0.189210u
16
+ 0.143726u
15
+ ··· − 2.26936u − 0.123159
0.937167u
16
− 1.60837u
15
+ ··· + 1.90857u + 0.157826
a
7
=
−1.06605u
16
+ 1.70820u
15
+ ··· − 4.13244u − 0.515680
1.17186u
16
− 2.01743u
15
+ ··· + 1.22093u − 0.0313841
a
10
=
−0.228968u
16
+ 0.744758u
15
+ ··· + 1.77459u + 2.93958
−0.0242663u
16
− 0.275739u
15
+ ··· − 0.648233u − 1.22886
a
6
=
0.611088u
16
− 1.31361u
15
+ ··· + 0.322930u − 4.29246
−0.218152u
16
+ 0.296712u
15
+ ··· − 0.434396u + 2.30109
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
146937
199783
u
16
+
266860
199783
u
15
+ ··· −
1546318
199783
u +
976260
199783
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− 14u
16
+ ··· − 2u + 1
c
2
u
17
+ 7u
15
+ ··· − 4u − 1
c
3
u
17
+ 3u
16
+ ··· − 2u − 4
c
4
u
17
− 2u
16
+ ··· − u + 1
c
5
u
17
+ 7u
15
+ ··· − 4u + 1
c
6
u
17
− 3u
16
+ ··· + 4u − 1
c
7
u
17
− 4u
16
+ ··· + 372u − 112
c
8
u
17
+ 5u
15
+ ··· − u + 1
c
9
u
17
+ 3u
16
+ ··· + 4u + 1
c
10
, c
11
u
17
− 3u
16
+ ··· − 2u + 4
c
12
u
17
+ 5u
15
+ ··· − u − 1
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
− 22y
16
+ ··· − 106y −1
c
2
, c
5
y
17
+ 14y
16
+ ··· − 2y −1
c
3
, c
10
, c
11
y
17
− 21y
16
+ ··· + 76y −16
c
4
y
17
− 10y
16
+ ··· − 5y −1
c
6
, c
9
y
17
+ 15y
16
+ ··· + 4y −1
c
7
y
17
− 2y
16
+ ··· + 176y −12544
c
8
, c
12
y
17
+ 10y
16
+ ··· − 21y −1
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.970144 + 0.202908I
a = −0.011213 − 0.922509I
b = 0.662169 − 0.368643I
2.55719 − 1.05254I 11.97796 − 4.49796I
u = −0.970144 − 0.202908I
a = −0.011213 + 0.922509I
b = 0.662169 + 0.368643I
2.55719 + 1.05254I 11.97796 + 4.49796I
u = −0.508256 + 0.803351I
a = −0.570535 − 0.270137I
b = 0.851157 + 0.086718I
1.36731 − 1.86051I 6.85893 − 0.03979I
u = −0.508256 − 0.803351I
a = −0.570535 + 0.270137I
b = 0.851157 − 0.086718I
1.36731 + 1.86051I 6.85893 + 0.03979I
u = 1.062864 + 0.150224I
a = −1.94519 + 0.86163I
b = 1.67703 + 0.21097I
10.70310 + 0.68133I 7.67112 + 1.20401I
u = 1.062864 − 0.150224I
a = −1.94519 − 0.86163I
b = 1.67703 − 0.21097I
10.70310 − 0.68133I 7.67112 − 1.20401I
u = −1.13364
a = −2.79532
b = 1.20439
3.96818 18.5360
u = 1.191259 + 0.476062I
a = 0.579866 + 0.337573I
b = −0.212468 + 0.511834I
3.86157 + 2.44826I 6.12662 − 4.15068I
u = 1.191259 − 0.476062I
a = 0.579866 − 0.337573I
b = −0.212468 − 0.511834I
3.86157 − 2.44826I 6.12662 + 4.15068I
u = −1.100900 + 0.673399I
a = 1.43082 + 0.85348I
b = −1.68729 + 0.07463I
11.25170 − 2.75197I 7.76583 + 4.36939I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.100900 − 0.673399I
a = 1.43082 − 0.85348I
b = −1.68729 − 0.07463I
11.25170 + 2.75197I 7.76583 − 4.36939I
u = 0.324184 + 0.493088I
a = 1.14602 − 2.01373I
b = −1.163915 + 0.557113I
−3.68022 + 1.37740I 0.58952 − 1.80800I
u = 0.324184 − 0.493088I
a = 1.14602 + 2.01373I
b = −1.163915 − 0.557113I
−3.68022 − 1.37740I 0.58952 + 1.80800I
u = 0.035739 + 0.505687I
a = 1.21696 + 2.00062I
b = −0.868479 − 0.500362I
−4.70902 + 5.44482I 2.78546 − 5.13325I
u = 0.035739 − 0.505687I
a = 1.21696 − 2.00062I
b = −0.868479 + 0.500362I
−4.70902 − 5.44482I 2.78546 + 5.13325I
u = 1.53207 + 1.08092I
a = 1.050932 − 0.481893I
b = −1.360397 − 0.190149I
7.91801 + 4.90263I 13.9568 − 8.5595I
u = 1.53207 − 1.08092I
a = 1.050932 + 0.481893I
b = −1.360397 + 0.190149I
7.91801 − 4.90263I 13.9568 + 8.5595I
15
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 14u
16
+ ··· − 2u + 1)(u
58
+ 57u
57
+ ··· − 77375u + 361)
c
2
(u
17
+ 7u
15
+ ··· − 4u − 1)(u
58
+ 3u
57
+ ··· + 293u − 19)
c
3
(u
17
+ 3u
16
+ ··· − 2u − 4)(u
58
− 2u
57
+ ··· − 334u + 116)
c
4
(u
17
− 2u
16
+ ··· − u + 1)(u
58
− u
57
+ ··· + 1784u − 97)
c
5
(u
17
+ 7u
15
+ ··· − 4u + 1)(u
58
+ 3u
57
+ ··· + 293u − 19)
c
6
(u
17
− 3u
16
+ ··· + 4u − 1)(u
58
− 4u
57
+ ··· − 11u + 1)
c
7
(u
17
− 4u
16
+ ··· + 372u − 112)(u
58
+ 7u
57
+ ··· − 31992u − 20788)
c
8
(u
17
+ 5u
15
+ ··· − u + 1)(u
58
+ u
57
+ ··· + 14968u − 1819)
c
9
(u
17
+ 3u
16
+ ··· + 4u + 1)(u
58
− 4u
57
+ ··· − 11u + 1)
c
10
, c
11
(u
17
− 3u
16
+ ··· − 2u + 4)(u
58
− 2u
57
+ ··· − 334u + 116)
c
12
(u
17
+ 5u
15
+ ··· − u − 1)(u
58
+ u
57
+ ··· + 14968u − 1819)
16
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
− 22y
16
+ ··· − 106y −1)
· (y
58
− 151y
57
+ ··· − 8652137019y + 130321)
c
2
, c
5
(y
17
+ 14y
16
+ ··· − 2y −1)(y
58
+ 57y
57
+ ··· − 77375y + 361)
c
3
, c
10
, c
11
(y
17
− 21y
16
+ ··· + 76y −16)(y
58
− 54y
57
+ ··· + 91908y + 13456)
c
4
(y
17
− 10y
16
+ ··· − 5y −1)(y
58
− 35y
57
+ ··· − 1420360y + 9409)
c
6
, c
9
(y
17
+ 15y
16
+ ··· + 4y −1)(y
58
+ 18y
57
+ ··· − 5y + 1)
c
7
(y
17
− 2y
16
+ ··· + 176y −12544)
· (y
58
− 23y
57
+ ··· − 4796634792y + 432140944)
c
8
, c
12
(y
17
+ 10y
16
+ ··· − 21y −1)
· (y
58
+ 33y
57
+ ··· + 9212984y + 3308761)
17
