12n
0491
(K12n
0491
)
A knot diagram
1
Linearized knot diagam
3 6 11 8 2 12 10 3 6 4 7 9
Solving Sequence
7,11 4,12
3 6 2 1 5 10 8 9
c
11
c
3
c
6
c
2
c
1
c
5
c
10
c
7
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.28259 × 10
69
u
52
− 3.92104 × 10
70
u
51
+ ··· + 1.58927 × 10
71
b + 7.23259 × 10
71
,
− 1.12367 × 10
72
u
52
+ 1.44284 × 10
72
u
51
+ ··· + 3.01961 × 10
72
a + 1.87033 × 10
73
,
u
53
− 2u
52
+ ··· − 40u − 19i
I
u
2
= h−13796u
18
− 18331u
17
+ ··· + 45431b + 86665,
172722u
18
+ 249659u
17
+ ··· + 318017a − 540027, u
19
+ u
18
+ ··· − 3u − 7i
* 2 irreducible components of dim
C
= 0, with total 72 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−6.28 × 10
69
u
52
− 3.92 × 10
70
u
51
+ · · · + 1.59 × 10
71
b + 7.23 ×
10
71
, −1.12 × 10
72
u
52
+ 1.44 × 10
72
u
51
+ · · · + 3.02 × 10
72
a + 1.87 ×
10
73
, u
53
− 2u
52
+ · · · − 40u − 19i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
4
=
0.372124u
52
− 0.477822u
51
+ ··· − 20.2423u − 6.19396
0.0395313u
52
+ 0.246720u
51
+ ··· − 9.19809u − 4.55090
a
12
=
1
−u
2
a
3
=
0.411656u
52
− 0.231102u
51
+ ··· − 29.4404u − 10.7449
0.0395313u
52
+ 0.246720u
51
+ ··· − 9.19809u − 4.55090
a
6
=
−u
u
3
+ u
a
2
=
0.458907u
52
− 0.728958u
51
+ ··· − 18.2819u − 5.32838
0.0479872u
52
+ 0.108330u
51
+ ··· − 5.12020u − 2.30366
a
1
=
−0.217784u
52
− 1.10568u
51
+ ··· + 53.3268u + 23.0233
−0.0127121u
52
− 1.28483u
51
+ ··· + 42.1962u + 19.5101
a
5
=
−0.486443u
52
+ 0.781036u
51
+ ··· + 16.1784u + 4.41592
0.210529u
52
− 0.0287556u
51
+ ··· − 14.2682u − 5.35874
a
10
=
−0.151735u
52
+ 0.441502u
51
+ ··· − 4.60673u − 1.92073
0.621884u
52
− 1.11241u
51
+ ··· − 9.54706u − 0.104321
a
8
=
0.124913u
52
− 0.625193u
51
+ ··· + 8.69636u + 6.25801
−0.0892206u
52
+ 0.468833u
51
+ ··· − 9.12061u − 4.72212
a
9
=
0.642220u
52
− 0.865075u
51
+ ··· − 19.8419u − 3.61549
0.832643u
52
− 1.27823u
51
+ ··· − 20.6504u − 3.75489
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0970191u
52
+ 0.877677u
51
+ ··· − 34.0551u − 20.3470
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
53
+ 78u
52
+ ··· + 5037u + 49
c
2
, c
5
u
53
+ 6u
52
+ ··· + 173u − 7
c
3
, c
10
u
53
+ 2u
52
+ ··· − 17u − 13
c
4
u
53
− 3u
52
+ ··· + 34374u − 17789
c
6
, c
11
u
53
− 2u
52
+ ··· − 40u − 19
c
7
u
53
+ 16u
52
+ ··· − 1526u − 127
c
8
u
53
+ u
52
+ ··· + 307064u − 83053
c
9
u
53
− 4u
52
+ ··· − 9953511u − 5353931
c
12
u
53
+ 44u
51
+ ··· − 895504u − 204397
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
53
− 198y
52
+ ··· + 8975185y −2401
c
2
, c
5
y
53
− 78y
52
+ ··· + 5037y −49
c
3
, c
10
y
53
+ 34y
52
+ ··· − 23y −169
c
4
y
53
+ 27y
52
+ ··· − 3258740414y −316448521
c
6
, c
11
y
53
+ 38y
52
+ ··· + 1866y −361
c
7
y
53
+ 6y
52
+ ··· − 286000y −16129
c
8
y
53
+ 109y
52
+ ··· + 44431418090y −6897800809
c
9
y
53
+ 74y
52
+ ··· − 616501666366053y −28664577152761
c
12
y
53
+ 88y
52
+ ··· − 165123439470y −41778133609
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.020424 + 1.053450I
a = 1.37500 + 1.00686I
b = 0.412944 − 0.888348I
−3.41496 − 0.13150I −2.61329 + 0.59782I
u = 0.020424 − 1.053450I
a = 1.37500 − 1.00686I
b = 0.412944 + 0.888348I
−3.41496 + 0.13150I −2.61329 − 0.59782I
u = −0.114759 + 1.057300I
a = −3.20217 − 0.52473I
b = −0.249252 + 0.779627I
−12.52400 − 0.56124I −3.93900 − 2.29264I
u = −0.114759 − 1.057300I
a = −3.20217 + 0.52473I
b = −0.249252 − 0.779627I
−12.52400 + 0.56124I −3.93900 + 2.29264I
u = −0.897126 + 0.227286I
a = −0.379021 + 0.772014I
b = 0.836819 − 0.182673I
−11.53260 − 3.30283I −1.48794 + 1.83705I
u = −0.897126 − 0.227286I
a = −0.379021 − 0.772014I
b = 0.836819 + 0.182673I
−11.53260 + 3.30283I −1.48794 − 1.83705I
u = 0.758954 + 0.497746I
a = −0.352903 − 1.066290I
b = 0.082346 + 1.057370I
1.94643 + 1.44631I 4.91144 − 4.52605I
u = 0.758954 − 0.497746I
a = −0.352903 + 1.066290I
b = 0.082346 − 1.057370I
1.94643 − 1.44631I 4.91144 + 4.52605I
u = 0.100638 + 1.126930I
a = −0.093158 + 0.628972I
b = −0.60558 − 2.11609I
−9.49889 + 0.94288I −12.4384 − 8.3240I
u = 0.100638 − 1.126930I
a = −0.093158 − 0.628972I
b = −0.60558 + 2.11609I
−9.49889 − 0.94288I −12.4384 + 8.3240I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.167867 + 1.122590I
a = 1.025970 − 0.785312I
b = 0.74301 + 1.32853I
−0.62397 − 4.66230I −2.14855 + 3.98094I
u = −0.167867 − 1.122590I
a = 1.025970 + 0.785312I
b = 0.74301 − 1.32853I
−0.62397 + 4.66230I −2.14855 − 3.98094I
u = 1.145150 + 0.111172I
a = 0.220953 + 1.242920I
b = −0.400983 − 1.048090I
1.16018 − 3.48244I 0. + 4.21874I
u = 1.145150 − 0.111172I
a = 0.220953 − 1.242920I
b = −0.400983 + 1.048090I
1.16018 + 3.48244I 0. − 4.21874I
u = −1.009890 + 0.580274I
a = 0.45461 − 1.51023I
b = −0.201772 + 0.717706I
−0.404087 − 0.664512I 0
u = −1.009890 − 0.580274I
a = 0.45461 + 1.51023I
b = −0.201772 − 0.717706I
−0.404087 + 0.664512I 0
u = 0.446506 + 1.080840I
a = −0.758454 − 0.942259I
b = −0.560983 + 1.108950I
0.01834 + 3.18821I 0
u = 0.446506 − 1.080840I
a = −0.758454 + 0.942259I
b = −0.560983 − 1.108950I
0.01834 − 3.18821I 0
u = 0.094171 + 1.189170I
a = −0.198337 − 0.285371I
b = −0.815075 + 0.102906I
−2.73134 + 1.95349I 0
u = 0.094171 − 1.189170I
a = −0.198337 + 0.285371I
b = −0.815075 − 0.102906I
−2.73134 − 1.95349I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372324 + 1.144500I
a = −1.16966 + 1.43335I
b = −0.463731 − 1.211130I
0.97517 − 6.41654I 0
u = −0.372324 − 1.144500I
a = −1.16966 − 1.43335I
b = −0.463731 + 1.211130I
0.97517 + 6.41654I 0
u = −0.713359 + 0.352723I
a = −0.82265 + 1.89224I
b = 0.291445 − 1.061860I
3.49003 + 2.33827I 7.35150 − 0.03351I
u = −0.713359 − 0.352723I
a = −0.82265 − 1.89224I
b = 0.291445 + 1.061860I
3.49003 − 2.33827I 7.35150 + 0.03351I
u = 1.208870 + 0.041842I
a = −0.14294 + 1.53627I
b = 0.553234 − 1.183980I
−8.60540 + 8.39391I 0
u = 1.208870 − 0.041842I
a = −0.14294 − 1.53627I
b = 0.553234 + 1.183980I
−8.60540 − 8.39391I 0
u = −0.231709 + 1.213410I
a = 0.225449 + 0.057108I
b = 1.259850 − 0.339420I
−5.52106 − 2.87929I 0
u = −0.231709 − 1.213410I
a = 0.225449 − 0.057108I
b = 1.259850 + 0.339420I
−5.52106 + 2.87929I 0
u = 0.129199 + 1.337350I
a = 0.537924 − 0.387937I
b = 0.324016 − 0.723848I
−4.06104 + 3.45520I 0
u = 0.129199 − 1.337350I
a = 0.537924 + 0.387937I
b = 0.324016 + 0.723848I
−4.06104 − 3.45520I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.180042 + 1.332050I
a = −1.50668 + 0.75298I
b = −0.339166 + 0.960564I
−11.76730 + 3.22677I 0
u = 0.180042 − 1.332050I
a = −1.50668 − 0.75298I
b = −0.339166 − 0.960564I
−11.76730 − 3.22677I 0
u = −0.577971 + 1.247660I
a = 0.78777 − 1.50170I
b = 0.421565 + 1.016140I
−2.93844 − 5.32446I 0
u = −0.577971 − 1.247660I
a = 0.78777 + 1.50170I
b = 0.421565 − 1.016140I
−2.93844 + 5.32446I 0
u = −0.39239 + 1.36564I
a = −0.081320 + 0.209135I
b = −1.232780 + 0.267892I
−16.4729 − 7.8769I 0
u = −0.39239 − 1.36564I
a = −0.081320 − 0.209135I
b = −1.232780 − 0.267892I
−16.4729 + 7.8769I 0
u = −0.75288 + 1.22697I
a = −0.39606 + 1.40742I
b = −0.528365 − 0.680227I
−14.0211 − 2.5435I 0
u = −0.75288 − 1.22697I
a = −0.39606 − 1.40742I
b = −0.528365 + 0.680227I
−14.0211 + 2.5435I 0
u = 0.54784 + 1.33209I
a = 0.759325 + 1.028150I
b = 0.675306 − 1.215400I
−2.77910 + 9.40789I 0
u = 0.54784 − 1.33209I
a = 0.759325 − 1.028150I
b = 0.675306 + 1.215400I
−2.77910 − 9.40789I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.33828 + 1.43001I
a = −0.0525982 − 0.0974268I
b = 0.359013 + 0.599994I
−4.31265 + 1.85896I 0
u = 0.33828 − 1.43001I
a = −0.0525982 + 0.0974268I
b = 0.359013 − 0.599994I
−4.31265 − 1.85896I 0
u = 0.443343 + 0.193493I
a = 2.20108 + 1.09321I
b = 0.385941 − 1.326290I
−7.01956 + 0.93199I 3.37878 − 0.77497I
u = 0.443343 − 0.193493I
a = 2.20108 − 1.09321I
b = 0.385941 + 1.326290I
−7.01956 − 0.93199I 3.37878 + 0.77497I
u = 0.54770 + 1.41531I
a = −0.89521 − 1.20600I
b = −0.68192 + 1.29863I
−13.2260 + 14.5372I 0
u = 0.54770 − 1.41531I
a = −0.89521 + 1.20600I
b = −0.68192 − 1.29863I
−13.2260 − 14.5372I 0
u = 0.471441
a = −0.781098
b = 0.296482
0.918032 11.4070
u = −0.241489 + 0.382395I
a = 1.38602 − 0.67704I
b = −0.380240 + 1.189440I
1.58800 + 2.79734I 0.78154 − 2.00922I
u = −0.241489 − 0.382395I
a = 1.38602 + 0.67704I
b = −0.380240 − 1.189440I
1.58800 − 2.79734I 0.78154 + 2.00922I
u = 0.56855 + 1.51885I
a = 0.248170 + 0.465569I
b = −0.541885 − 0.930855I
−13.25010 − 1.79041I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.56855 − 1.51885I
a = 0.248170 − 0.465569I
b = −0.541885 + 0.930855I
−13.25010 + 1.79041I 0
u = −0.293628 + 0.169658I
a = −0.43844 − 1.77881I
b = −0.492003 − 0.133929I
−1.46218 − 0.58938I −4.90888 + 1.84572I
u = −0.293628 − 0.169658I
a = −0.43844 + 1.77881I
b = −0.492003 + 0.133929I
−1.46218 + 0.58938I −4.90888 − 1.84572I
10
II. I
u
2
= h−13796u
18
− 18331u
17
+ · · · + 45431b + 86665, 1.73 × 10
5
u
18
+
2.50 × 10
5
u
17
+ · · · + 3.18 × 10
5
a − 5.40 × 10
5
, u
19
+ u
18
+ · · · − 3u − 7i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
4
=
−0.543122u
18
− 0.785049u
17
+ ··· + 2.33131u + 1.69811
0.303669u
18
+ 0.403491u
17
+ ··· − 1.20556u − 1.90762
a
12
=
1
−u
2
a
3
=
−0.239453u
18
− 0.381558u
17
+ ··· + 1.12575u − 0.209511
0.303669u
18
+ 0.403491u
17
+ ··· − 1.20556u − 1.90762
a
6
=
−u
u
3
+ u
a
2
=
−0.429037u
18
− 0.992044u
17
+ ··· + 4.06352u + 3.76898
0.309634u
18
+ 0.774493u
17
+ ··· − 1.55354u − 2.93980
a
1
=
−1.09950u
18
− 0.891735u
17
+ ··· + 9.42967u + 3.59530
−1.14149u
18
− 0.770487u
17
+ ··· + 6.82585u + 0.0622042
a
5
=
0.148385u
18
+ 0.268435u
17
+ ··· − 1.01515u + 0.939076
0.495675u
18
+ 0.891506u
17
+ ··· − 4.32517u − 4.91394
a
10
=
−0.00459724u
18
+ 0.00136785u
17
+ ··· − 0.540462u − 0.334187
−0.217583u
18
− 1.26700u
17
+ ··· + 1.84046u + 6.86386
a
8
=
0.624070u
18
+ 0.511306u
17
+ ··· − 1.65340u + 0.296396
−0.211618u
18
+ 0.104004u
17
+ ··· + 0.492483u − 1.16832
a
9
=
−0.00459724u
18
− 0.998632u
17
+ ··· + 1.45954u + 6.66581
−0.217583u
18
− 1.26700u
17
+ ··· + 2.84046u + 6.86386
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
29514
45431
u
18
+
3561
45431
u
17
+ ··· +
108503
45431
u −
237418
45431
11
(iv) u-Polynomials at the component
12
Crossings u-Polynomials at each crossing
c
1
u
19
− 23u
18
+ ··· + 142u − 9
c
2
u
19
+ u
18
+ ··· + 4u − 3
c
3
u
19
− u
18
+ ··· − 2u + 1
c
4
u
19
− 2u
18
+ ··· − 3u + 1
c
5
u
19
− u
18
+ ··· + 4u + 3
c
6
u
19
− u
18
+ ··· − 3u + 7
c
7
u
19
+ 3u
18
+ ··· + u + 1
c
8
u
19
+ 12u
17
+ ··· + 17u − 7
c
9
u
19
+ 3u
18
+ ··· + 6u − 1
c
10
u
19
+ u
18
+ ··· − 2u − 1
c
11
u
19
+ u
18
+ ··· − 3u − 7
c
12
u
19
− u
18
+ ··· + 3u − 1
13
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
19
− 47y
18
+ ··· + 1138y −81
c
2
, c
5
y
19
− 23y
18
+ ··· + 142y −9
c
3
, c
10
y
19
+ 17y
18
+ ··· − 10y −1
c
4
y
19
+ 2y
18
+ ··· + 11y −1
c
6
, c
11
y
19
+ 13y
18
+ ··· − 61y −49
c
7
y
19
− 7y
18
+ ··· − 7y −1
c
8
y
19
+ 24y
18
+ ··· + 1283y −49
c
9
y
19
+ 25y
18
+ ··· + 4y −1
c
12
y
19
+ 15y
18
+ ··· + 7y −1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.912989 + 0.470847I
a = 0.08016 − 1.71011I
b = −0.090557 + 0.743656I
−0.23953 + 1.45033I 1.46889 − 5.46667I
u = 0.912989 − 0.470847I
a = 0.08016 + 1.71011I
b = −0.090557 − 0.743656I
−0.23953 − 1.45033I 1.46889 + 5.46667I
u = −0.122558 + 1.056040I
a = 0.431762 + 0.531081I
b = 0.25264 − 1.78160I
−9.10403 − 0.56699I 0.10463 − 2.18342I
u = −0.122558 − 1.056040I
a = 0.431762 − 0.531081I
b = 0.25264 + 1.78160I
−9.10403 + 0.56699I 0.10463 + 2.18342I
u = −0.375439 + 1.005050I
a = 0.80534 − 1.25378I
b = 0.51738 + 1.33523I
0.95735 − 4.84388I 2.57358 + 4.50026I
u = −0.375439 − 1.005050I
a = 0.80534 + 1.25378I
b = 0.51738 − 1.33523I
0.95735 + 4.84388I 2.57358 − 4.50026I
u = −0.828010 + 0.194067I
a = −0.18741 + 1.74034I
b = 0.388243 − 1.140120I
3.03087 + 3.56656I 5.57109 − 5.07215I
u = −0.828010 − 0.194067I
a = −0.18741 − 1.74034I
b = 0.388243 + 1.140120I
3.03087 − 3.56656I 5.57109 + 5.07215I
u = −0.798171 + 0.862325I
a = 0.599547 − 0.825372I
b = −0.299334 + 1.118840I
1.52458 + 0.35003I 1.30577 − 1.04146I
u = −0.798171 − 0.862325I
a = 0.599547 + 0.825372I
b = −0.299334 − 1.118840I
1.52458 − 0.35003I 1.30577 + 1.04146I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.361100 + 1.153390I
a = 2.44435 + 0.80442I
b = 0.074478 − 0.751501I
−12.31010 + 1.60834I −0.89180 − 3.51923I
u = 0.361100 − 1.153390I
a = 2.44435 − 0.80442I
b = 0.074478 + 0.751501I
−12.31010 − 1.60834I −0.89180 + 3.51923I
u = 0.245707 + 1.238420I
a = −0.451047 − 0.220292I
b = −0.863122 − 0.000595I
−3.94352 + 3.17778I −2.47265 − 4.38700I
u = 0.245707 − 1.238420I
a = −0.451047 + 0.220292I
b = −0.863122 + 0.000595I
−3.94352 − 3.17778I −2.47265 + 4.38700I
u = 0.231435 + 1.334010I
a = −0.681102 − 0.044640I
b = −0.229020 + 0.511916I
−3.91760 + 2.77143I −0.013564 − 1.322656I
u = 0.231435 − 1.334010I
a = −0.681102 + 0.044640I
b = −0.229020 − 0.511916I
−3.91760 − 2.77143I −0.013564 + 1.322656I
u = 0.635520
a = −0.0744073
b = 0.586817
−0.102213 0.467600
u = −0.444813 + 1.297870I
a = −1.14727 + 0.98503I
b = −0.544126 − 1.209470I
−0.62097 − 8.31420I 0.62025 + 6.65896I
u = −0.444813 − 1.297870I
a = −1.14727 − 0.98503I
b = −0.544126 + 1.209470I
−0.62097 + 8.31420I 0.62025 − 6.65896I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
19
− 23u
18
+ ··· + 142u − 9)(u
53
+ 78u
52
+ ··· + 5037u + 49)
c
2
(u
19
+ u
18
+ ··· + 4u − 3)(u
53
+ 6u
52
+ ··· + 173u − 7)
c
3
(u
19
− u
18
+ ··· − 2u + 1)(u
53
+ 2u
52
+ ··· − 17u − 13)
c
4
(u
19
− 2u
18
+ ··· − 3u + 1)(u
53
− 3u
52
+ ··· + 34374u − 17789)
c
5
(u
19
− u
18
+ ··· + 4u + 3)(u
53
+ 6u
52
+ ··· + 173u − 7)
c
6
(u
19
− u
18
+ ··· − 3u + 7)(u
53
− 2u
52
+ ··· − 40u − 19)
c
7
(u
19
+ 3u
18
+ ··· + u + 1)(u
53
+ 16u
52
+ ··· − 1526u − 127)
c
8
(u
19
+ 12u
17
+ ··· + 17u − 7)(u
53
+ u
52
+ ··· + 307064u − 83053)
c
9
(u
19
+ 3u
18
+ ··· + 6u − 1)(u
53
− 4u
52
+ ··· − 9953511u − 5353931)
c
10
(u
19
+ u
18
+ ··· − 2u − 1)(u
53
+ 2u
52
+ ··· − 17u − 13)
c
11
(u
19
+ u
18
+ ··· − 3u − 7)(u
53
− 2u
52
+ ··· − 40u − 19)
c
12
(u
19
− u
18
+ ··· + 3u − 1)(u
53
+ 44u
51
+ ··· − 895504u − 204397)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
19
− 47y
18
+ ··· + 1138y −81)
· (y
53
− 198y
52
+ ··· + 8975185y −2401)
c
2
, c
5
(y
19
− 23y
18
+ ··· + 142y −9)(y
53
− 78y
52
+ ··· + 5037y −49)
c
3
, c
10
(y
19
+ 17y
18
+ ··· − 10y −1)(y
53
+ 34y
52
+ ··· − 23y −169)
c
4
(y
19
+ 2y
18
+ ··· + 11y −1)
· (y
53
+ 27y
52
+ ··· − 3258740414y −316448521)
c
6
, c
11
(y
19
+ 13y
18
+ ··· − 61y −49)(y
53
+ 38y
52
+ ··· + 1866y −361)
c
7
(y
19
− 7y
18
+ ··· − 7y −1)(y
53
+ 6y
52
+ ··· − 286000y −16129)
c
8
(y
19
+ 24y
18
+ ··· + 1283y −49)
· (y
53
+ 109y
52
+ ··· + 44431418090y −6897800809)
c
9
(y
19
+ 25y
18
+ ··· + 4y −1)
· (y
53
+ 74y
52
+ ··· − 616501666366053y −28664577152761)
c
12
(y
19
+ 15y
18
+ ··· + 7y −1)
· (y
53
+ 88y
52
+ ··· − 165123439470y −41778133609)
19
