12a
1240
(K12a
1240
)
A knot diagram
1
Linearized knot diagam
5 6 9 1 10 11 12 4 3 2 7 8
Solving Sequence
4,8 9,12
1 5 2 3 10 7 11 6
c
8
c
12
c
4
c
1
c
3
c
9
c
7
c
11
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h4.60256 × 10
102
u
64
+ 5.40064 × 10
102
u
63
+ ··· + 8.11475 × 10
103
b + 1.59562 × 10
105
,
− 7.53145 × 10
104
u
64
+ 2.70697 × 10
104
u
63
+ ··· + 1.40385 × 10
106
a + 3.91291 × 10
107
,
u
65
+ u
64
+ ··· + 354u + 173i
I
u
2
= hu
15
+ 8u
13
+ u
12
+ 23u
11
+ 6u
10
+ 26u
9
+ 12u
8
+ 4u
7
+ 8u
6
− 9u
5
− u
4
− 2u
3
− 2u
2
+ b − u − 1,
− u
16
+ u
15
+ ··· + a + 1,
u
17
+ 10u
15
+ 40u
13
− u
12
+ 80u
11
− 7u
10
+ 80u
9
− 18u
8
+ 31u
7
− 21u
6
− 4u
5
− 11u
4
− 5u
3
− 3u
2
− 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 82 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
= h4.60 × 10
102
u
64
+ 5.40 × 10
102
u
63
+ · · · + 8.11 × 10
103
b + 1.60 ×
10
105
, −7.53 × 10
104
u
64
+ 2.71 × 10
104
u
63
+ · · · + 1.40 × 10
106
a + 3.91 ×
10
107
, u
65
+ u
64
+ · · · + 354u + 173i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
0.0536485u
64
− 0.0192824u
63
+ ··· + 13.4066u − 27.8726
−0.0567184u
64
− 0.0665534u
63
+ ··· − 38.2451u − 19.6632
a
1
=
0.110367u
64
+ 0.0472710u
63
+ ··· + 51.6516u − 8.20942
−0.0567184u
64
− 0.0665534u
63
+ ··· − 38.2451u − 19.6632
a
5
=
0.0429065u
64
− 0.00292175u
63
+ ··· + 21.3658u − 11.3738
−0.0125258u
64
− 0.0125001u
63
+ ··· − 10.2360u − 7.41086
a
2
=
−0.0400474u
64
− 0.000625365u
63
+ ··· − 4.46978u + 16.5675
0.00594570u
64
+ 0.0205051u
63
+ ··· + 15.4488u + 6.51593
a
3
=
−u
u
3
+ u
a
10
=
u
2
+ 1
−u
4
− 2u
2
a
7
=
0.0399289u
64
+ 0.0211829u
63
+ ··· + 33.3413u + 0.333312
−0.00290844u
64
− 0.00912864u
63
+ ··· − 5.74412u − 4.59512
a
11
=
−0.0230777u
64
− 0.0466096u
63
+ ··· − 13.8268u − 24.0009
−0.0279384u
64
− 0.0319295u
63
+ ··· − 19.5314u − 12.5317
a
6
=
0.0320474u
64
+ 0.00430410u
63
+ ··· + 17.5224u − 7.47526
0.0150469u
64
+ 0.0130919u
63
+ ··· + 1.71790u − 0.984422
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.103545u
64
− 0.0564918u
63
+ ··· + 57.0917u − 87.3956
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
65
− 34u
63
+ ··· + 25u − 1
c
2
u
65
− 5u
64
+ ··· − 1840u − 529
c
3
, c
8
, c
9
u
65
+ u
64
+ ··· + 354u + 173
c
5
u
65
+ 2u
64
+ ··· + 784u + 131
c
6
, c
7
, c
11
c
12
u
65
− u
64
+ ··· + 16u + 1
c
10
u
65
+ 5u
64
+ ··· + 1163u − 215
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
65
− 68y
64
+ ··· − 201y −1
c
2
y
65
+ 27y
64
+ ··· − 5322798y −279841
c
3
, c
8
, c
9
y
65
+ 77y
64
+ ··· − 683978y −29929
c
5
y
65
+ 20y
64
+ ··· − 271428y −17161
c
6
, c
7
, c
11
c
12
y
65
− 87y
64
+ ··· − 500y −1
c
10
y
65
− 25y
64
+ ··· + 3288859y −46225
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.726071 + 0.758126I
a = −0.324975 − 0.706814I
b = −0.979305 + 0.369172I
−5.63744 + 7.47497I 0
u = 0.726071 − 0.758126I
a = −0.324975 + 0.706814I
b = −0.979305 − 0.369172I
−5.63744 − 7.47497I 0
u = 0.975827 + 0.494607I
a = −0.107308 + 0.453272I
b = 0.934240 + 0.048674I
−4.60698 − 1.82196I 0
u = 0.975827 − 0.494607I
a = −0.107308 − 0.453272I
b = 0.934240 − 0.048674I
−4.60698 + 1.82196I 0
u = 0.543682 + 0.626807I
a = −0.567121 − 1.246980I
b = −1.72542 + 0.11080I
−14.1457 + 2.3448I −11.61428 − 2.93633I
u = 0.543682 − 0.626807I
a = −0.567121 + 1.246980I
b = −1.72542 − 0.11080I
−14.1457 − 2.3448I −11.61428 + 2.93633I
u = −0.117879 + 1.166460I
a = −1.79246 + 0.68241I
b = −1.387970 + 0.003546I
−6.36326 − 2.20018I 0
u = −0.117879 − 1.166460I
a = −1.79246 − 0.68241I
b = −1.387970 − 0.003546I
−6.36326 + 2.20018I 0
u = 0.088335 + 0.787639I
a = 0.631221 + 0.409079I
b = 0.365744 − 0.340357I
−0.71879 + 1.22446I −2.81178 − 5.97989I
u = 0.088335 − 0.787639I
a = 0.631221 − 0.409079I
b = 0.365744 + 0.340357I
−0.71879 − 1.22446I −2.81178 + 5.97989I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.447830 + 0.608444I
a = −1.60044 − 0.14443I
b = −1.59034 − 0.09596I
−8.81586 − 2.32152I −8.51550 − 4.26961I
u = 0.447830 − 0.608444I
a = −1.60044 + 0.14443I
b = −1.59034 + 0.09596I
−8.81586 + 2.32152I −8.51550 + 4.26961I
u = 0.525484 + 0.504088I
a = 0.43025 + 2.02495I
b = 1.69411 + 0.00431I
−13.75730 + 1.38625I −12.86514 − 4.98182I
u = 0.525484 − 0.504088I
a = 0.43025 − 2.02495I
b = 1.69411 − 0.00431I
−13.75730 − 1.38625I −12.86514 + 4.98182I
u = −0.334819 + 0.628588I
a = −0.278152 − 0.888652I
b = 0.103555 + 0.660906I
−2.26471 − 4.03136I −5.94020 + 7.20403I
u = −0.334819 − 0.628588I
a = −0.278152 + 0.888652I
b = 0.103555 − 0.660906I
−2.26471 + 4.03136I −5.94020 − 7.20403I
u = −0.983839 + 0.840083I
a = 0.958856 − 0.844751I
b = 1.71710 + 0.09388I
−15.1766 − 9.3107I 0
u = −0.983839 − 0.840083I
a = 0.958856 + 0.844751I
b = 1.71710 − 0.09388I
−15.1766 + 9.3107I 0
u = 0.317310 + 0.626994I
a = 2.68952 + 0.91215I
b = 1.61060 − 0.07096I
−9.00930 + 4.95002I −7.74249 − 6.87275I
u = 0.317310 − 0.626994I
a = 2.68952 − 0.91215I
b = 1.61060 + 0.07096I
−9.00930 − 4.95002I −7.74249 + 6.87275I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.177809 + 1.350850I
a = −0.357829 + 0.197902I
b = −0.017560 + 0.381554I
−4.20596 + 3.45721I 0
u = 0.177809 − 1.350850I
a = −0.357829 − 0.197902I
b = −0.017560 − 0.381554I
−4.20596 − 3.45721I 0
u = −0.401140 + 0.489673I
a = 1.45507 + 0.87862I
b = 0.0202678 + 0.0500323I
−1.70244 + 1.41602I −3.83791 + 4.34485I
u = −0.401140 − 0.489673I
a = 1.45507 − 0.87862I
b = 0.0202678 − 0.0500323I
−1.70244 − 1.41602I −3.83791 − 4.34485I
u = −1.261060 + 0.536996I
a = −0.741092 + 0.442516I
b = −1.70945 + 0.01249I
−14.0841 + 2.0654I 0
u = −1.261060 − 0.536996I
a = −0.741092 − 0.442516I
b = −1.70945 − 0.01249I
−14.0841 − 2.0654I 0
u = −0.134645 + 0.584405I
a = 0.197801 − 1.366820I
b = 0.927502 + 0.501106I
−4.67220 + 0.02550I −14.8497 + 0.6733I
u = −0.134645 − 0.584405I
a = 0.197801 + 1.366820I
b = 0.927502 − 0.501106I
−4.67220 − 0.02550I −14.8497 − 0.6733I
u = −0.413347 + 0.412272I
a = −1.49091 + 0.92346I
b = −0.707354 − 0.303831I
−1.02330 − 3.62936I −5.37000 + 9.36655I
u = −0.413347 − 0.412272I
a = −1.49091 − 0.92346I
b = −0.707354 + 0.303831I
−1.02330 + 3.62936I −5.37000 − 9.36655I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372758 + 0.426791I
a = 0.574567 − 0.058040I
b = 0.625825 − 0.291328I
−1.20365 + 0.84496I −6.02969 − 0.14737I
u = −0.372758 − 0.426791I
a = 0.574567 + 0.058040I
b = 0.625825 + 0.291328I
−1.20365 − 0.84496I −6.02969 + 0.14737I
u = −0.233988 + 0.506859I
a = −0.55207 + 2.38792I
b = −0.886599 − 0.003824I
−4.55371 − 1.42223I −13.6222 + 4.9294I
u = −0.233988 − 0.506859I
a = −0.55207 − 2.38792I
b = −0.886599 + 0.003824I
−4.55371 + 1.42223I −13.6222 − 4.9294I
u = −0.16373 + 1.44899I
a = −1.220880 + 0.298307I
b = −0.980392 + 0.272927I
−7.19630 − 1.13487I 0
u = −0.16373 − 1.44899I
a = −1.220880 − 0.298307I
b = −0.980392 − 0.272927I
−7.19630 + 1.13487I 0
u = 0.483700 + 0.237329I
a = 0.445616 + 0.385675I
b = −0.083539 − 0.423218I
0.791769 + 1.065080I 2.72009 − 3.18149I
u = 0.483700 − 0.237329I
a = 0.445616 − 0.385675I
b = −0.083539 + 0.423218I
0.791769 − 1.065080I 2.72009 + 3.18149I
u = −0.10831 + 1.47851I
a = 1.76451 − 0.09693I
b = 0.952847 + 0.203501I
−7.28087 − 5.40688I 0
u = −0.10831 − 1.47851I
a = 1.76451 + 0.09693I
b = 0.952847 − 0.203501I
−7.28087 + 5.40688I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.497221
a = −0.274816
b = 1.21610
−2.77118 1.37870
u = −0.05022 + 1.56060I
a = 1.22584 − 0.84884I
b = 0.893368 + 0.290820I
−11.64490 − 2.37865I 0
u = −0.05022 − 1.56060I
a = 1.22584 + 0.84884I
b = 0.893368 − 0.290820I
−11.64490 + 2.37865I 0
u = 0.15087 + 1.57314I
a = −2.17718 − 1.21481I
b = −1.69886 + 0.07549I
18.6332 + 3.8056I 0
u = 0.15087 − 1.57314I
a = −2.17718 + 1.21481I
b = −1.69886 − 0.07549I
18.6332 − 3.8056I 0
u = −0.08895 + 1.58719I
a = −0.128172 − 0.447048I
b = 0.041223 + 0.495260I
−9.03428 − 0.28268I 0
u = −0.08895 − 1.58719I
a = −0.128172 + 0.447048I
b = 0.041223 − 0.495260I
−9.03428 + 0.28268I 0
u = −0.02863 + 1.60404I
a = −1.029160 + 0.070588I
b = −0.974979 − 0.838184I
−12.36230 − 0.51802I 0
u = −0.02863 − 1.60404I
a = −1.029160 − 0.070588I
b = −0.974979 + 0.838184I
−12.36230 + 0.51802I 0
u = −0.08706 + 1.60503I
a = −0.173991 − 0.074369I
b = −0.141617 − 0.998457I
−9.99826 − 5.54560I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.08706 − 1.60503I
a = −0.173991 + 0.074369I
b = −0.141617 + 0.998457I
−9.99826 + 5.54560I 0
u = 0.08728 + 1.61094I
a = −2.73738 − 0.27305I
b = −1.71337 + 0.05252I
−16.8071 + 6.4261I 0
u = 0.08728 − 1.61094I
a = −2.73738 + 0.27305I
b = −1.71337 − 0.05252I
−16.8071 − 6.4261I 0
u = 0.16484 + 1.61723I
a = 1.93553 + 0.68337I
b = 1.78156 − 0.24078I
17.6410 + 5.0053I 0
u = 0.16484 − 1.61723I
a = 1.93553 − 0.68337I
b = 1.78156 + 0.24078I
17.6410 − 5.0053I 0
u = 0.20239 + 1.63940I
a = 1.181390 + 0.350848I
b = 1.078620 − 0.622811I
−13.7279 + 10.9139I 0
u = 0.20239 − 1.63940I
a = 1.181390 − 0.350848I
b = 1.078620 + 0.622811I
−13.7279 − 10.9139I 0
u = 0.10820 + 1.65060I
a = 2.27932 + 0.08486I
b = 1.72742 + 0.06163I
−16.9343 − 0.1738I 0
u = 0.10820 − 1.65060I
a = 2.27932 − 0.08486I
b = 1.72742 − 0.06163I
−16.9343 + 0.1738I 0
u = 0.26868 + 1.68165I
a = −0.897135 − 0.531965I
b = −0.951609 + 0.306784I
−12.11670 + 3.02699I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.26868 − 1.68165I
a = −0.897135 + 0.531965I
b = −0.951609 − 0.306784I
−12.11670 − 3.02699I 0
u = −0.30378 + 1.69326I
a = −1.89667 + 0.85876I
b = −1.74870 − 0.17461I
15.9285 − 14.2148I 0
u = −0.30378 − 1.69326I
a = −1.89667 − 0.85876I
b = −1.74870 + 0.17461I
15.9285 + 14.2148I 0
u = −0.43555 + 1.77362I
a = 1.73566 − 0.73698I
b = 1.71505 + 0.08053I
17.8768 − 4.5753I 0
u = −0.43555 − 1.77362I
a = 1.73566 + 0.73698I
b = 1.71505 − 0.08053I
17.8768 + 4.5753I 0
11
II.
I
u
2
= hu
15
+8u
13
+· · ·+b−1, −u
16
+u
15
+· · ·+a+1, u
17
+10u
15
+· · ·−2u−1i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
−u
2
a
12
=
u
16
− u
15
+ ··· − u − 1
−u
15
− 8u
13
+ ··· + u + 1
a
1
=
u
16
+ 10u
14
+ ··· − 2u − 2
−u
15
− 8u
13
+ ··· + u + 1
a
5
=
−u
16
− 10u
14
+ ··· + u + 2
−u
15
+ u
14
+ ··· + 2u
3
+ 2u
a
2
=
−u
5
− 3u
3
− 2u
u
16
− u
15
+ ··· − u
2
+ u
a
3
=
−u
u
3
+ u
a
10
=
u
2
+ 1
−u
4
− 2u
2
a
7
=
u
15
− u
14
+ ··· + u
3
− 2u
u
15
+ 9u
13
+ ··· − 2u − 2
a
11
=
−u
6
− 4u
4
− 3u
2
+ 1
u
15
+ 8u
13
+ ··· − u
2
− u
a
6
=
−u
16
− 9u
14
+ ··· + 3u
2
+ 1
−u
15
+ u
14
+ ··· + 2u
3
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
16
− 3u
15
− 8u
14
− 26u
13
− 24u
12
− 85u
11
− 31u
10
− 126u
9
−
12u
8
− 75u
7
+ 6u
6
+ u
5
+ 13u
4
+ 16u
3
+ 19u
2
+ 7u − 6
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
+ 3u
16
+ ··· − 3u − 1
c
2
u
17
+ 3u
15
+ ··· + 2u − 1
c
3
u
17
+ 10u
15
+ ··· − 2u + 1
c
4
u
17
− 3u
16
+ ··· − 3u + 1
c
5
u
17
+ u
16
+ ··· + 2u
3
+ 1
c
6
, c
7
u
17
− 12u
15
+ ··· + 2u + 1
c
8
, c
9
u
17
+ 10u
15
+ ··· − 2u − 1
c
10
u
17
+ 2u
16
+ ··· − 3u − 1
c
11
, c
12
u
17
− 12u
15
+ ··· + 2u − 1
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
17
− 17y
16
+ ··· + 11y −1
c
2
y
17
+ 6y
16
+ ··· − 6y −1
c
3
, c
8
, c
9
y
17
+ 20y
16
+ ··· − 2y −1
c
5
y
17
+ 3y
16
+ ··· + 6y
2
− 1
c
6
, c
7
, c
11
c
12
y
17
− 24y
16
+ ··· + 16y −1
c
10
y
17
− 6y
16
+ ··· + 3y −1
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.139852 + 1.214420I
a = 1.287590 + 0.470581I
b = 1.52103 + 0.06882I
−11.11750 − 4.71969I −12.69339 + 3.70079I
u = −0.139852 − 1.214420I
a = 1.287590 − 0.470581I
b = 1.52103 − 0.06882I
−11.11750 + 4.71969I −12.69339 − 3.70079I
u = 0.770505
a = 0.356369
b = −1.71199
−13.5631 −10.8690
u = −0.313732 + 0.658301I
a = −2.46686 − 0.50202I
b = −1.56317 + 0.07758I
−8.98775 + 3.06986I −11.77160 − 5.40163I
u = −0.313732 − 0.658301I
a = −2.46686 + 0.50202I
b = −1.56317 − 0.07758I
−8.98775 − 3.06986I −11.77160 + 5.40163I
u = 0.150767 + 1.264220I
a = −0.036312 + 0.695026I
b = −0.280089 + 0.210720I
−4.79179 + 3.71423I −13.1910 − 5.6524I
u = 0.150767 − 1.264220I
a = −0.036312 − 0.695026I
b = −0.280089 − 0.210720I
−4.79179 − 3.71423I −13.1910 + 5.6524I
u = −0.155556 + 1.352930I
a = −1.43538 + 0.81001I
b = −1.195950 + 0.186568I
−7.82356 − 2.21494I −13.60579 + 3.56873I
u = −0.155556 − 1.352930I
a = −1.43538 − 0.81001I
b = −1.195950 − 0.186568I
−7.82356 + 2.21494I −13.60579 − 3.56873I
u = 0.344357 + 0.507264I
a = 1.69631 − 0.60701I
b = 0.435868 + 0.235200I
−1.98177 − 1.91528I −11.51112 + 7.56473I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.344357 − 0.507264I
a = 1.69631 + 0.60701I
b = 0.435868 − 0.235200I
−1.98177 + 1.91528I −11.51112 − 7.56473I
u = −0.413428 + 0.204442I
a = −1.37361 − 0.56067I
b = 0.983355 + 0.195981I
−3.72761 + 0.27179I −7.30557 − 0.70090I
u = −0.413428 − 0.204442I
a = −1.37361 + 0.56067I
b = 0.983355 − 0.195981I
−3.72761 − 0.27179I −7.30557 + 0.70090I
u = −0.06863 + 1.60082I
a = −0.854604 + 0.519619I
b = −0.759245 − 0.457661I
−10.71870 − 1.63142I −9.76522 + 0.61847I
u = −0.06863 − 1.60082I
a = −0.854604 − 0.519619I
b = −0.759245 + 0.457661I
−10.71870 + 1.63142I −9.76522 − 0.61847I
u = 0.21082 + 1.61302I
a = 2.00469 + 0.90354I
b = 1.71420 − 0.09994I
−19.7367 + 3.7909I −9.22182 − 1.00044I
u = 0.21082 − 1.61302I
a = 2.00469 − 0.90354I
b = 1.71420 + 0.09994I
−19.7367 − 3.7909I −9.22182 + 1.00044I
16
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
+ 3u
16
+ ··· − 3u − 1)(u
65
− 34u
63
+ ··· + 25u − 1)
c
2
(u
17
+ 3u
15
+ ··· + 2u − 1)(u
65
− 5u
64
+ ··· − 1840u − 529)
c
3
(u
17
+ 10u
15
+ ··· − 2u + 1)(u
65
+ u
64
+ ··· + 354u + 173)
c
4
(u
17
− 3u
16
+ ··· − 3u + 1)(u
65
− 34u
63
+ ··· + 25u − 1)
c
5
(u
17
+ u
16
+ ··· + 2u
3
+ 1)(u
65
+ 2u
64
+ ··· + 784u + 131)
c
6
, c
7
(u
17
− 12u
15
+ ··· + 2u + 1)(u
65
− u
64
+ ··· + 16u + 1)
c
8
, c
9
(u
17
+ 10u
15
+ ··· − 2u − 1)(u
65
+ u
64
+ ··· + 354u + 173)
c
10
(u
17
+ 2u
16
+ ··· − 3u − 1)(u
65
+ 5u
64
+ ··· + 1163u − 215)
c
11
, c
12
(u
17
− 12u
15
+ ··· + 2u − 1)(u
65
− u
64
+ ··· + 16u + 1)
17
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
17
− 17y
16
+ ··· + 11y −1)(y
65
− 68y
64
+ ··· − 201y −1)
c
2
(y
17
+ 6y
16
+ ··· − 6y −1)(y
65
+ 27y
64
+ ··· − 5322798y −279841)
c
3
, c
8
, c
9
(y
17
+ 20y
16
+ ··· − 2y −1)(y
65
+ 77y
64
+ ··· − 683978y −29929)
c
5
(y
17
+ 3y
16
+ ··· + 6y
2
− 1)(y
65
+ 20y
64
+ ··· − 271428y −17161)
c
6
, c
7
, c
11
c
12
(y
17
− 24y
16
+ ··· + 16y −1)(y
65
− 87y
64
+ ··· − 500y −1)
c
10
(y
17
− 6y
16
+ ··· + 3y −1)(y
65
− 25y
64
+ ··· + 3288859y −46225)
18
