12a
0861
(K12a
0861
)
A knot diagram
1
Linearized knot diagam
4 5 10 9 3 11 12 1 2 8 7 6
Solving Sequence
6,11
7 12 8
1,3
5 2 10 4 9
c
6
c
11
c
7
c
12
c
5
c
2
c
10
c
3
c
9
c
1
, c
4
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.81318 × 10
32
u
100
− 1.67567 × 10
32
u
99
+ ··· + 8.39034 × 10
32
b + 8.52545 × 10
32
,
− 1.89290 × 10
31
u
100
+ 3.18867 × 10
32
u
99
+ ··· + 4.19517 × 10
32
a + 4.50214 × 10
32
,
u
101
+ 2u
100
+ ··· − 5u − 1i
I
u
2
= hb − 1, a + 1, u + 1i
* 2 irreducible components of dim
C
= 0, with total 102 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−1.81 × 10
32
u
100
− 1.68 × 10
32
u
99
+ · · · + 8.39 × 10
32
b + 8.53 ×
10
32
, −1.89 × 10
31
u
100
+ 3.19 × 10
32
u
99
+ · · · + 4.20 × 10
32
a + 4.50 ×
10
32
, u
101
+ 2u
100
+ · · · − 5u − 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
7
=
1
−u
2
a
12
=
u
−u
3
+ u
a
8
=
−u
2
+ 1
u
4
− 2u
2
a
1
=
−u
3
+ 2u
−u
3
+ u
a
3
=
0.0451209u
100
− 0.760082u
99
+ ··· + 9.26245u − 1.07317
0.216103u
100
+ 0.199714u
99
+ ··· − 0.0924635u − 1.01610
a
5
=
−0.0356196u
100
+ 0.759959u
99
+ ··· − 10.8577u + 1.72341
−0.135588u
100
− 0.201144u
99
+ ··· − 0.369854u + 0.935588
a
2
=
0.197101u
100
+ 0.199959u
99
+ ··· − 5.90190u − 0.316585
0.838970u
100
+ 0.00285885u
99
+ ··· − 4.07536u − 0.838970
a
10
=
−u
5
+ 2u
3
− u
u
7
− 3u
5
+ 2u
3
+ u
a
4
=
0.0393835u
100
− 0.759997u
99
+ ··· + 9.26178u − 1.07334
−1.33209u
100
− 1.40778u
99
+ ··· + 8.49440u + 1.33209
a
9
=
u
10
− 5u
8
+ 8u
6
− 3u
4
− 3u
2
+ 1
u
10
− 4u
8
+ 5u
6
− 3u
2
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.45932u
100
+ 4.76034u
99
+ ··· + 0.110956u + 1.41932
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
101
− 17u
100
+ ··· + 2u + 2
c
2
, c
5
u
101
+ 2u
100
+ ··· − 13u + 1
c
3
u
101
+ 2u
100
+ ··· − 365721u + 33833
c
4
u
101
+ 4u
100
+ ··· + 8829u + 2851
c
6
, c
7
, c
11
u
101
− 2u
100
+ ··· − 5u + 1
c
8
u
101
− 24u
99
+ ··· − 140961u + 15661
c
9
u
101
− 4u
100
+ ··· − u + 1
c
10
, c
12
u
101
+ 3u
100
+ ··· − 133u
2
+ 32
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
101
+ 9y
100
+ ··· − 56y −4
c
2
, c
5
y
101
− 72y
100
+ ··· − y −1
c
3
y
101
− 68y
100
+ ··· − 23745298781y −1144671889
c
4
y
101
− 120y
100
+ ··· + 659640771y −8128201
c
6
, c
7
, c
11
y
101
− 84y
100
+ ··· − y −1
c
8
y
101
− 48y
100
+ ··· − 5147347709y −245266921
c
9
y
101
+ 16y
100
+ ··· − y −1
c
10
, c
12
y
101
+ 57y
100
+ ··· + 8512y −1024
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.028940 + 0.386413I
a = 0.0973768 + 0.0686506I
b = 1.104430 + 0.134470I
3.30551 + 1.15808I 0
u = −1.028940 − 0.386413I
a = 0.0973768 − 0.0686506I
b = 1.104430 − 0.134470I
3.30551 − 1.15808I 0
u = 1.057030 + 0.349481I
a = 0.314048 − 0.736272I
b = 1.36678 − 0.53207I
4.49153 − 9.62146I 0
u = 1.057030 − 0.349481I
a = 0.314048 + 0.736272I
b = 1.36678 + 0.53207I
4.49153 + 9.62146I 0
u = 1.111270 + 0.222770I
a = −0.366060 + 0.901400I
b = −1.32169 + 0.64309I
4.72151 − 1.48890I 0
u = 1.111270 − 0.222770I
a = −0.366060 − 0.901400I
b = −1.32169 − 0.64309I
4.72151 + 1.48890I 0
u = 1.099330 + 0.300902I
a = −0.188576 + 1.200930I
b = −0.002327 + 1.136800I
0.17070 − 3.78814I 0
u = 1.099330 − 0.300902I
a = −0.188576 − 1.200930I
b = −0.002327 − 1.136800I
0.17070 + 3.78814I 0
u = −0.173926 + 0.812684I
a = 0.73131 − 1.40433I
b = 1.142840 − 0.188317I
0.67914 − 5.50977I 8.94619 + 9.47296I
u = −0.173926 − 0.812684I
a = 0.73131 + 1.40433I
b = 1.142840 + 0.188317I
0.67914 + 5.50977I 8.94619 − 9.47296I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.17114
a = −0.989252
b = 0.346774
2.12529 0
u = −0.025467 + 0.828000I
a = 1.60890 − 1.16076I
b = 1.063360 − 0.411521I
−3.81109 − 5.30422I 2.34656 + 6.94530I
u = −0.025467 − 0.828000I
a = 1.60890 + 1.16076I
b = 1.063360 + 0.411521I
−3.81109 + 5.30422I 2.34656 − 6.94530I
u = 0.158631 + 0.804073I
a = 0.80609 + 2.49041I
b = 1.38917 + 0.54718I
1.74695 + 13.85140I 6.00000 − 8.73084I
u = 0.158631 − 0.804073I
a = 0.80609 − 2.49041I
b = 1.38917 − 0.54718I
1.74695 − 13.85140I 6.00000 + 8.73084I
u = −1.149270 + 0.299595I
a = −0.542737 − 0.500847I
b = 0.057454 − 0.251125I
0.654538 − 0.558503I 0
u = −1.149270 − 0.299595I
a = −0.542737 + 0.500847I
b = 0.057454 + 0.251125I
0.654538 + 0.558503I 0
u = −1.165090 + 0.250717I
a = 1.93078 − 2.43537I
b = −1.031870 − 0.085936I
2.90707 − 0.81510I 0
u = −1.165090 − 0.250717I
a = 1.93078 + 2.43537I
b = −1.031870 + 0.085936I
2.90707 + 0.81510I 0
u = −0.667105 + 0.437770I
a = 0.059804 − 0.895514I
b = 1.150220 − 0.000851I
4.39007 − 0.66689I 20.5536 + 2.2015I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.667105 − 0.437770I
a = 0.059804 + 0.895514I
b = 1.150220 + 0.000851I
4.39007 + 0.66689I 20.5536 − 2.2015I
u = 0.138798 + 0.781657I
a = 0.95689 − 2.16420I
b = −0.028732 − 1.197250I
−2.72320 + 7.79519I 3.29744 − 8.41863I
u = 0.138798 − 0.781657I
a = 0.95689 + 2.16420I
b = −0.028732 + 1.197250I
−2.72320 − 7.79519I 3.29744 + 8.41863I
u = −0.116871 + 0.774426I
a = −0.234715 + 0.892659I
b = −0.002107 + 0.327040I
−2.44866 − 3.37818I 2.29820 + 1.98806I
u = −0.116871 − 0.774426I
a = −0.234715 − 0.892659I
b = −0.002107 − 0.327040I
−2.44866 + 3.37818I 2.29820 − 1.98806I
u = 0.022502 + 0.782527I
a = 0.00177 + 2.09029I
b = 0.377607 + 0.784247I
−5.93645 − 0.87720I −1.80763 + 1.04585I
u = 0.022502 − 0.782527I
a = 0.00177 − 2.09029I
b = 0.377607 − 0.784247I
−5.93645 + 0.87720I −1.80763 − 1.04585I
u = 1.209230 + 0.196168I
a = 0.119207 − 0.751916I
b = −1.46666 − 0.24510I
5.39958 + 2.00182I 0
u = 1.209230 − 0.196168I
a = 0.119207 + 0.751916I
b = −1.46666 + 0.24510I
5.39958 − 2.00182I 0
u = 0.144908 + 0.752921I
a = −0.80543 − 2.77881I
b = −1.41125 − 0.69668I
1.90392 + 5.20096I 9.90636 − 7.40698I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.144908 − 0.752921I
a = −0.80543 + 2.77881I
b = −1.41125 + 0.69668I
1.90392 − 5.20096I 9.90636 + 7.40698I
u = −0.122529 + 0.744900I
a = 1.28109 + 2.64200I
b = −1.076030 + 0.080017I
−0.16683 − 2.84840I −10.9682 − 9.6416I
u = −0.122529 − 0.744900I
a = 1.28109 − 2.64200I
b = −1.076030 − 0.080017I
−0.16683 + 2.84840I −10.9682 + 9.6416I
u = −1.215600 + 0.269888I
a = −1.22265 + 2.30397I
b = −0.753849 + 0.101521I
2.23401 − 1.72679I 0
u = −1.215600 − 0.269888I
a = −1.22265 − 2.30397I
b = −0.753849 − 0.101521I
2.23401 + 1.72679I 0
u = 0.663413 + 0.357602I
a = −0.39860 + 1.58817I
b = 1.36297 + 0.47360I
5.38362 + 9.52573I 10.14946 − 8.06140I
u = 0.663413 − 0.357602I
a = −0.39860 − 1.58817I
b = 1.36297 − 0.47360I
5.38362 − 9.52573I 10.14946 + 8.06140I
u = 0.142148 + 0.718668I
a = −1.70541 − 0.45845I
b = −1.55105 + 0.40005I
2.42332 + 1.28126I 11.19302 − 1.21201I
u = 0.142148 − 0.718668I
a = −1.70541 + 0.45845I
b = −1.55105 − 0.40005I
2.42332 − 1.28126I 11.19302 + 1.21201I
u = −0.086682 + 0.719986I
a = −1.87211 − 1.11449I
b = −0.607902 − 0.121137I
−1.19230 − 1.84846I 5.59881 + 5.60914I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.086682 − 0.719986I
a = −1.87211 + 1.11449I
b = −0.607902 + 0.121137I
−1.19230 + 1.84846I 5.59881 − 5.60914I
u = −0.328118 + 0.635795I
a = 0.587168 − 0.849188I
b = 1.180890 − 0.101731I
3.33957 − 3.21650I 13.9460 + 8.2744I
u = −0.328118 − 0.635795I
a = 0.587168 + 0.849188I
b = 1.180890 + 0.101731I
3.33957 + 3.21650I 13.9460 − 8.2744I
u = 1.241200 + 0.334119I
a = 0.360958 − 1.070060I
b = 0.328687 − 0.849373I
−2.17713 + 4.90687I 0
u = 1.241200 − 0.334119I
a = 0.360958 + 1.070060I
b = 0.328687 + 0.849373I
−2.17713 − 4.90687I 0
u = 1.258760 + 0.261311I
a = −0.388419 − 1.268170I
b = −0.712654 − 0.731199I
2.95981 + 4.71416I 0
u = 1.258760 − 0.261311I
a = −0.388419 + 1.268170I
b = −0.712654 + 0.731199I
2.95981 − 4.71416I 0
u = −1.232030 + 0.377233I
a = 0.864114 − 0.126972I
b = 1.023920 + 0.365529I
−0.086339 + 0.972263I 0
u = −1.232030 − 0.377233I
a = 0.864114 + 0.126972I
b = 1.023920 − 0.365529I
−0.086339 − 0.972263I 0
u = 0.267208 + 0.647741I
a = 1.074640 + 0.156641I
b = 1.348860 − 0.415383I
4.04661 − 5.89569I 8.02593 + 2.38848I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.267208 − 0.647741I
a = 1.074640 − 0.156641I
b = 1.348860 + 0.415383I
4.04661 + 5.89569I 8.02593 − 2.38848I
u = −1.277780 + 0.336776I
a = −0.96889 − 1.44778I
b = 0.432231 − 0.726486I
−1.89447 − 3.15775I 0
u = −1.277780 − 0.336776I
a = −0.96889 + 1.44778I
b = 0.432231 + 0.726486I
−1.89447 + 3.15775I 0
u = 1.276690 + 0.370859I
a = 0.24342 + 1.58444I
b = 1.101580 + 0.445043I
0.23553 + 9.61140I 0
u = 1.276690 − 0.370859I
a = 0.24342 − 1.58444I
b = 1.101580 − 0.445043I
0.23553 − 9.61140I 0
u = 0.655925 + 0.092614I
a = 0.605869 − 0.934639I
b = −1.41714 − 0.52149I
4.79133 + 1.83073I 15.9174 − 4.3853I
u = 0.655925 − 0.092614I
a = 0.605869 + 0.934639I
b = −1.41714 + 0.52149I
4.79133 − 1.83073I 15.9174 + 4.3853I
u = 0.083312 + 0.638423I
a = −1.52776 + 1.29828I
b = −0.393511 + 0.804360I
−0.78660 − 1.45210I 4.75717 + 3.49284I
u = 0.083312 − 0.638423I
a = −1.52776 − 1.29828I
b = −0.393511 − 0.804360I
−0.78660 + 1.45210I 4.75717 − 3.49284I
u = 1.327260 + 0.305233I
a = −0.999324 + 0.544062I
b = −0.544745 + 0.207352I
3.26237 + 5.56922I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.327260 − 0.305233I
a = −0.999324 − 0.544062I
b = −0.544745 − 0.207352I
3.26237 − 5.56922I 0
u = −1.333400 + 0.285277I
a = −1.308200 + 0.029554I
b = −0.417099 − 1.003450I
3.72956 − 1.98995I 0
u = −1.333400 − 0.285277I
a = −1.308200 − 0.029554I
b = −0.417099 + 1.003450I
3.72956 + 1.98995I 0
u = 0.584196 + 0.241797I
a = 0.514031 − 0.720592I
b = −0.111711 − 1.036120I
0.79560 + 4.22285I 8.17162 − 8.18777I
u = 0.584196 − 0.241797I
a = 0.514031 + 0.720592I
b = −0.111711 + 1.036120I
0.79560 − 4.22285I 8.17162 + 8.18777I
u = 1.373580 + 0.023066I
a = −0.371764 − 0.485397I
b = −0.245715 − 0.271745I
6.80271 + 0.87572I 0
u = 1.373580 − 0.023066I
a = −0.371764 + 0.485397I
b = −0.245715 + 0.271745I
6.80271 − 0.87572I 0
u = 1.341270 + 0.317191I
a = 2.53148 − 2.64892I
b = −1.099120 − 0.079524I
4.44329 + 6.70063I 0
u = 1.341270 − 0.317191I
a = 2.53148 + 2.64892I
b = −1.099120 + 0.079524I
4.44329 − 6.70063I 0
u = 1.340190 + 0.331849I
a = −0.007094 − 0.596349I
b = −0.035880 − 0.370722I
2.13625 + 7.37812I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.340190 − 0.331849I
a = −0.007094 + 0.596349I
b = −0.035880 + 0.370722I
2.13625 − 7.37812I 0
u = 1.38147
a = 4.13434
b = −1.10712
8.57526 0
u = −1.347990 + 0.305884I
a = 0.05456 + 1.56249I
b = −1.60063 − 0.43183I
7.12028 − 5.01369I 0
u = −1.347990 − 0.305884I
a = 0.05456 − 1.56249I
b = −1.60063 + 0.43183I
7.12028 + 5.01369I 0
u = −1.351550 + 0.319734I
a = 1.18973 + 2.47107I
b = −1.44983 + 0.71711I
6.62110 − 9.09012I 0
u = −1.351550 − 0.319734I
a = 1.18973 − 2.47107I
b = −1.44983 − 0.71711I
6.62110 + 9.09012I 0
u = −1.351170 + 0.333884I
a = 1.53027 + 0.79665I
b = −0.046975 + 1.229100I
1.97105 − 11.82780I 0
u = −1.351170 − 0.333884I
a = 1.53027 − 0.79665I
b = −0.046975 − 1.229100I
1.97105 + 11.82780I 0
u = −1.391490 + 0.034086I
a = 0.403840 − 0.401540I
b = −0.192149 + 1.152040I
6.87246 − 4.91775I 0
u = −1.391490 − 0.034086I
a = 0.403840 + 0.401540I
b = −0.192149 − 1.152040I
6.87246 + 4.91775I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.395780 + 0.009794I
a = 1.88400 + 0.12574I
b = −1.53124 + 0.58610I
10.97350 − 2.04434I 0
u = −1.395780 − 0.009794I
a = 1.88400 − 0.12574I
b = −1.53124 − 0.58610I
10.97350 + 2.04434I 0
u = −1.375500 + 0.257636I
a = −0.577498 − 0.904908I
b = 1.38751 + 0.38451I
9.21390 + 2.61600I 0
u = −1.375500 − 0.257636I
a = −0.577498 + 0.904908I
b = 1.38751 − 0.38451I
9.21390 − 2.61600I 0
u = 1.385100 + 0.240167I
a = −0.892088 + 0.865446I
b = 1.269340 + 0.115116I
8.72575 + 6.33979I 0
u = 1.385100 − 0.240167I
a = −0.892088 − 0.865446I
b = 1.269340 − 0.115116I
8.72575 − 6.33979I 0
u = −1.363820 + 0.343210I
a = −0.96059 − 2.44773I
b = 1.40458 − 0.55203I
6.5501 − 17.9931I 0
u = −1.363820 − 0.343210I
a = −0.96059 + 2.44773I
b = 1.40458 + 0.55203I
6.5501 + 17.9931I 0
u = 1.37172 + 0.34509I
a = −0.59183 + 1.70310I
b = 1.176520 + 0.206396I
5.55962 + 9.68623I 0
u = 1.37172 − 0.34509I
a = −0.59183 − 1.70310I
b = 1.176520 − 0.206396I
5.55962 − 9.68623I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41956 + 0.05099I
a = −1.75164 − 0.69250I
b = 1.41571 − 0.48127I
11.9152 − 10.5591I 0
u = −1.41956 − 0.05099I
a = −1.75164 + 0.69250I
b = 1.41571 + 0.48127I
11.9152 + 10.5591I 0
u = 1.43215 + 0.05960I
a = −1.32086 + 0.61437I
b = 1.235320 + 0.064101I
11.10480 + 1.95086I 0
u = 1.43215 − 0.05960I
a = −1.32086 − 0.61437I
b = 1.235320 − 0.064101I
11.10480 − 1.95086I 0
u = −0.529460
a = 5.43079
b = −1.04789
2.71431 −33.7440
u = −0.489365 + 0.146062I
a = −0.815002 + 0.533358I
b = −0.142802 + 0.093983I
1.078260 − 0.417929I 9.48826 + 1.46499I
u = −0.489365 − 0.146062I
a = −0.815002 − 0.533358I
b = −0.142802 − 0.093983I
1.078260 + 0.417929I 9.48826 − 1.46499I
u = 0.048585 + 0.473544I
a = −1.37828 + 1.14364I
b = −0.166104 + 0.613776I
−0.74370 − 1.50769I 2.11666 + 3.36463I
u = 0.048585 − 0.473544I
a = −1.37828 − 1.14364I
b = −0.166104 − 0.613776I
−0.74370 + 1.50769I 2.11666 − 3.36463I
u = −0.165803 + 0.190467I
a = −3.84378 + 0.94593I
b = −1.055080 + 0.135675I
1.93313 − 0.63427I 4.64132 − 2.06211I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.165803 − 0.190467I
a = −3.84378 − 0.94593I
b = −1.055080 − 0.135675I
1.93313 + 0.63427I 4.64132 + 2.06211I
15
II. I
u
2
= hb − 1, a + 1, u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
−1
a
7
=
1
−1
a
12
=
−1
0
a
8
=
0
−1
a
1
=
−1
0
a
3
=
−1
1
a
5
=
0
1
a
2
=
−1
0
a
10
=
0
−1
a
4
=
−1
0
a
9
=
−1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 12
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
10
, c
12
u
c
2
, c
6
, c
7
c
8
, c
9
u + 1
c
3
, c
4
, c
5
c
11
u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
10
, c
12
y
c
2
, c
3
, c
4
c
5
, c
6
, c
7
c
8
, c
9
, c
11
y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 1.00000
3.28987 12.0000
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u(u
101
− 17u
100
+ ··· + 2u + 2)
c
2
(u + 1)(u
101
+ 2u
100
+ ··· − 13u + 1)
c
3
(u − 1)(u
101
+ 2u
100
+ ··· − 365721u + 33833)
c
4
(u − 1)(u
101
+ 4u
100
+ ··· + 8829u + 2851)
c
5
(u − 1)(u
101
+ 2u
100
+ ··· − 13u + 1)
c
6
, c
7
(u + 1)(u
101
− 2u
100
+ ··· − 5u + 1)
c
8
(u + 1)(u
101
− 24u
99
+ ··· − 140961u + 15661)
c
9
(u + 1)(u
101
− 4u
100
+ ··· − u + 1)
c
10
, c
12
u(u
101
+ 3u
100
+ ··· − 133u
2
+ 32)
c
11
(u − 1)(u
101
− 2u
100
+ ··· − 5u + 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y(y
101
+ 9y
100
+ ··· − 56y −4)
c
2
, c
5
(y −1)(y
101
− 72y
100
+ ··· − y −1)
c
3
(y −1)(y
101
− 68y
100
+ ··· − 2.37453 × 10
10
y −1.14467 × 10
9
)
c
4
(y −1)(y
101
− 120y
100
+ ··· + 6.59641 × 10
8
y −8128201)
c
6
, c
7
, c
11
(y −1)(y
101
− 84y
100
+ ··· − y −1)
c
8
(y −1)(y
101
− 48y
100
+ ··· − 5.14735 × 10
9
y −2.45267 × 10
8
)
c
9
(y −1)(y
101
+ 16y
100
+ ··· − y −1)
c
10
, c
12
y(y
101
+ 57y
100
+ ··· + 8512y −1024)
21
