11a
172
(K11a
172
)
1
Arc Sequences
6 1 9 8 2 10 5 11 3 7 4
Solving Sequence
4,8 5,11
9 1 3 2 7 10 6
c
4
c
8
c
11
c
3
c
2
c
7
c
10
c
6
c
1
, c
5
, c
9
Representation Ideals
I =
2
\
i=1
I
u
i
I
u
1
= hu
12
u
11
+ 2u
10
u
9
u
8
+ u
7
3u
6
+ u
5
u
4
+ 2u
2
+ 1, u
11
u
10
+ u
9
2u
7
+ u
6
u
5
+ a + 2u,
2u
11
+ 2u
10
3u
9
+ u
8
+ 4u
7
3u
6
+ 5u
5
u
4
u
3
+ u
2
+ b 4ui
I
u
2
= hu
81
+ 4u
80
+ ··· 337u 79,
2.45076 × 10
220
u
80
2.60126 × 10
220
u
79
+ ··· + 1.25430 × 10
221
b + 9.62278 × 10
222
,
8.62881 × 10
222
u
80
2.74251 × 10
223
u
79
+ ··· + 9.90893 × 10
222
a 3.91591 × 10
224
i
There are 2 irreducible components with 93 representations.
1
The knot diagram image is adapter from “C. Livingston and A. H. Moore, KnotInfo: Table of Knot
Invariants, http://www.indiana.edu/ knotinfo”
1
I. I
u
1
= hu
12
u
11
+ · · · + 2u
2
+ 1, u
11
u
10
+ u
9
2u
7
+ u
6
u
5
+ a +
2u, 2u
11
+ 2u
10
+ · · · + b 4ui
(i) Arc colorings
a
4
=
1
0
a
8
=
0
u
a
5
=
1
u
2
a
11
=
u
11
+ u
10
u
9
+ 2u
7
u
6
+ u
5
2u
2u
11
2u
10
+ 3u
9
u
8
4u
7
+ 3u
6
5u
5
+ u
4
+ u
3
u
2
+ 4u
a
9
=
2u
11
2u
10
+ 3u
9
u
8
4u
7
+ 3u
6
4u
5
+ u
3
+ 3u
u
11
+ u
10
2u
9
+ u
8
+ u
7
u
6
+ 3u
5
u
4
+ u
3
2u
a
1
=
3u
11
+ 3u
10
4u
9
+ u
8
+ 6u
7
4u
6
+ 6u
5
u
4
u
3
+ u
2
6u
2u
11
2u
10
+ 3u
9
u
8
4u
7
+ 3u
6
5u
5
+ u
4
+ u
3
u
2
+ 4u
a
3
=
2u
10
2u
9
+ 3u
8
u
7
4u
6
+ 3u
5
4u
4
+ u
2
+ 4
u
10
+ u
9
2u
8
+ u
7
+ u
6
u
5
+ 3u
4
u
3
+ u
2
2
a
2
=
2u
11
+ 5u
10
6u
9
+ 5u
8
+ 3u
7
9u
6
+ 9u
5
7u
4
+ 2u
2
5u + 6
2u
11
4u
10
+ 5u
9
4u
8
3u
7
+ 6u
6
7u
5
+ 5u
4
+ 4u 3
a
7
=
u
u
3
+ u
a
10
=
2u
11
+ 2u
10
3u
9
+ u
8
+ 3u
7
2u
6
+ 4u
5
u
4
+ u
3
4u
u
11
u
10
+ u
9
3u
7
+ 2u
6
2u
5
+ 2u
3
u
2
+ 3u
a
6
=
4u
11
+ 4u
10
6u
9
+ 2u
8
+ 7u
7
5u
6
+ 9u
5
2u
4
+ u
2
8u
3u
11
3u
10
+ 5u
9
2u
8
4u
7
+ 3u
6
6u
5
+ u
4
+ 5u + 1
a
6
=
4u
11
+ 4u
10
6u
9
+ 2u
8
+ 7u
7
5u
6
+ 9u
5
2u
4
+ u
2
8u
3u
11
3u
10
+ 5u
9
2u
8
4u
7
+ 3u
6
6u
5
+ u
4
+ 5u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
2
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 0.945031 0.096488I
a = 0.501924 + 0.002629I
b = 0.167602 + 0.447070I
2.09528 + 2.86682I 5.47332 2.30549I
u = 0.945031 + 0.096488I
a = 0.501924 0.002629I
b = 0.167602 0.447070I
2.09528 2.86682I 5.47332 + 2.30549I
u = 0.291380 0.894257I
a = 1.55594 + 0.29241I
b = 1.265515 + 0.190193I
2.85303 7.20115I 5.87593 + 8.65754I
u = 0.291380 + 0.894257I
a = 1.55594 0.29241I
b = 1.265515 0.190193I
2.85303 + 7.20115I 5.87593 8.65754I
u = 0.028362 0.712150I
a = 0.17434 + 1.42837I
b = 0.35743 2.03036I
7.17019 + 1.02030I 13.27326 + 0.82815I
u = 0.028362 + 0.712150I
a = 0.17434 1.42837I
b = 0.35743 + 2.03036I
7.17019 1.02030I 13.27326 0.82815I
u = 0.157903 1.296746I
a = 0.71364 1.52981I
b = 0.317404 + 0.877472I
3.28943 + 3.84736I 5.88370 4.17023I
u = 0.157903 + 1.296746I
a = 0.71364 + 1.52981I
b = 0.317404 0.877472I
3.28943 3.84736I 5.88370 + 4.17023I
u = 0.522215 0.968433I
a = 1.016931 0.179641I
b = 1.27015 + 0.90307I
0.01791 + 4.36215I 0.35713 5.21266I
u = 0.522215 + 0.968433I
a = 1.016931 + 0.179641I
b = 1.27015 0.90307I
0.01791 4.36215I 0.35713 + 5.21266I
3
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 1.084655 0.131653I
a = 0.501643 0.005379I
b = 0.367788 + 0.403418I
1.05844 + 1.11861I 7.61832 5.82501I
u = 1.084655 + 0.131653I
a = 0.501643 + 0.005379I
b = 0.367788 0.403418I
1.05844 1.11861I 7.61832 + 5.82501I
4
II. I
u
2
= hu
81
+ 4u
80
+ · · · 337u 79, 2.45 × 10
220
u
80
2.60 × 10
220
u
79
+
· · · + 1.25 × 10
221
b + 9.62 × 10
222
, 8.63 × 10
222
u
80
2.74 × 10
223
u
79
+ · · · +
9.91 × 10
222
a 3.92 × 10
224
i
(i) Arc colorings
a
4
=
1
0
a
8
=
0
u
a
5
=
1
u
2
a
11
=
0.870811u
80
+ 2.76772u
79
+ ··· + 64.5374u + 39.5190
0.195390u
80
+ 0.207388u
79
+ ··· 302.321u 76.7186
a
9
=
0.236049u
80
+ 0.950552u
79
+ ··· 58.8974u 6.67054
0.131585u
80
0.0206518u
79
+ ··· + 213.807u + 57.2983
a
1
=
1.06620u
80
+ 2.56033u
79
+ ··· + 366.859u + 116.238
0.195390u
80
+ 0.207388u
79
+ ··· 302.321u 76.7186
a
3
=
0.207236u
80
1.13925u
79
+ ··· + 63.9064u + 18.7308
0.749191u
80
+ 3.18981u
79
+ ··· 179.064u 23.3065
a
2
=
2.58438u
80
10.2879u
79
+ ··· + 408.863u + 43.2291
1.60608u
80
+ 6.44290u
79
+ ··· 322.473u 40.4515
a
7
=
u
u
3
+ u
a
10
=
1.16024u
80
+ 2.99097u
79
+ ··· + 331.998u + 112.774
0.0681897u
80
+ 1.16429u
79
+ ··· 326.909u 77.2856
a
6
=
0.297074u
80
2.70448u
79
+ ··· + 688.289u + 164.531
0.342049u
80
+ 2.12443u
79
+ ··· 390.464u 88.3503
a
6
=
0.297074u
80
2.70448u
79
+ ··· + 688.289u + 164.531
0.342049u
80
+ 2.12443u
79
+ ··· 390.464u 88.3503
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
5
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.52668 1.17676I
a = 0.037526 0.227493I
b = 0.229568 0.273542I
2.27868 2.43296I 5.9637 18.4586I
u = 1.52668 + 1.17676I
a = 0.037526 + 0.227493I
b = 0.229568 + 0.273542I
2.27868 + 2.43296I 5.9637 + 18.4586I
u = 1.51270 1.30243I
a = 0.156165 0.078744I
b = 0.244523 0.360732I
1.64510 + 2.76495I 5.9447 + 19.8746I
u = 1.51270 + 1.30243I
a = 0.156165 + 0.078744I
b = 0.244523 + 0.360732I
1.64510 2.76495I 5.9447 19.8746I
u = 1.244999 0.089209I
a = 0.759504 + 0.533381I
b = 1.063958 + 0.741808I
6.95506 + 10.74712I 8.46800 7.93626I
u = 1.244999 + 0.089209I
a = 0.759504 0.533381I
b = 1.063958 0.741808I
6.95506 10.74712I 8.46800 + 7.93626I
u = 0.870962 0.196202I
a = 1.17931 + 0.91674I
b = 0.822095 + 0.654542I
10.31881 + 2.36842I 12.28276 1.35235I
u = 0.870962 + 0.196202I
a = 1.17931 0.91674I
b = 0.822095 0.654542I
10.31881 2.36842I 12.28276 + 1.35235I
u = 0.68125 1.36486I
a = 0.844306 0.144395I
b = 0.618675 + 1.026314I
1.71523 10.74030I 2.36124 + 8.63243I
u = 0.68125 + 1.36486I
a = 0.844306 + 0.144395I
b = 0.618675 1.026314I
1.71523 + 10.74030I 2.36124 8.63243I
6
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.657857 1.031499I
a = 1.051837 0.080868I
b = 0.989297 + 0.901871I
1.21757 4.42471I 7.28375 + 4.16407I
u = 0.657857 + 1.031499I
a = 1.051837 + 0.080868I
b = 0.989297 0.901871I
1.21757 + 4.42471I 7.28375 4.16407I
u = 0.61863 1.35824I
a = 1.013276 + 0.458716I
b = 1.12111 1.24979I
2.9847 17.2020I 5.13768 + 9.44553I
u = 0.61863 + 1.35824I
a = 1.013276 0.458716I
b = 1.12111 + 1.24979I
2.9847 + 17.2020I 5.13768 9.44553I
u = 0.544190 0.704973I
a = 0.829573 + 0.882286I
b = 0.82569 1.59457I
4.73465 + 3.54232I 9.02392 1.92756I
u = 0.544190 + 0.704973I
a = 0.829573 0.882286I
b = 0.82569 + 1.59457I
4.73465 3.54232I 9.02392 + 1.92756I
u = 0.520734 0.563957I
a = 0.44390 1.39705I
b = 0.640561 + 0.367269I
2.95455 + 1.54554I 9.20197 + 1.57413I
u = 0.520734 + 0.563957I
a = 0.44390 + 1.39705I
b = 0.640561 0.367269I
2.95455 1.54554I 9.20197 1.57413I
u = 0.477934 1.231383I
a = 1.29569 + 0.65451I
b = 0.968915 0.912719I
7.07099 7.27755I 8.25664 + 6.01070I
u = 0.477934 + 1.231383I
a = 1.29569 0.65451I
b = 0.968915 + 0.912719I
7.07099 + 7.27755I 8.25664 6.01070I
7
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.440038 0.986568I
a = 0.990499 0.172920I
b = 1.314547 + 0.194114I
1.71311 5.50527I 4.90783 + 6.55625I
u = 0.440038 + 0.986568I
a = 0.990499 + 0.172920I
b = 1.314547 0.194114I
1.71311 + 5.50527I 4.90783 6.55625I
u = 0.434673 0.830543I
a = 0.147693 + 0.353423I
b = 1.92317 + 0.76789I
4.41169 7.58690I 9.63223 + 8.69485I
u = 0.434673 + 0.830543I
a = 0.147693 0.353423I
b = 1.92317 0.76789I
4.41169 + 7.58690I 9.63223 8.69485I
u = 0.333327 0.083602I
a = 0.90911 2.37699I
b = 0.822550 0.624730I
0.55853 + 2.10716I 1.76988 3.18079I
u = 0.333327 + 0.083602I
a = 0.90911 + 2.37699I
b = 0.822550 + 0.624730I
0.55853 2.10716I 1.76988 + 3.18079I
u = 0.301410 1.173278I
a = 0.950866 0.631797I
b = 1.04816 + 1.36534I
2.60224 4.83341I 0.06165 + 3.02749I
u = 0.301410 + 1.173278I
a = 0.950866 + 0.631797I
b = 1.04816 1.36534I
2.60224 + 4.83341I 0.06165 3.02749I
u = 0.249140 0.948362I
a = 0.073924 + 0.295717I
b = 1.05923 + 1.40379I
6.15519 + 0.01094I 8.12267 + 1.55762I
u = 0.249140 + 0.948362I
a = 0.073924 0.295717I
b = 1.05923 1.40379I
6.15519 0.01094I 8.12267 1.55762I
8
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.219690 1.067508I
a = 1.66730 + 1.17444I
b = 0.072730 0.270554I
1.56924 7.62859I 1.55667 + 9.40331I
u = 0.219690 + 1.067508I
a = 1.66730 1.17444I
b = 0.072730 + 0.270554I
1.56924 + 7.62859I 1.55667 9.40331I
u = 0.218715 1.294783I
a = 0.743239 + 0.418087I
b = 0.433325 1.076074I
5.79269 + 0.02102I 3.29726 1.33917I
u = 0.218715 + 1.294783I
a = 0.743239 0.418087I
b = 0.433325 + 1.076074I
5.79269 0.02102I 3.29726 + 1.33917I
u = 0.163383 0.977311I
a = 0.50519 1.58384I
b = 0.020980 + 0.998796I
0.16943 3.63650I 0.52320 + 2.79943I
u = 0.163383 + 0.977311I
a = 0.50519 + 1.58384I
b = 0.020980 0.998796I
0.16943 + 3.63650I 0.52320 2.79943I
u = 0.124215 0.736396I
a = 0.990663 0.007587I
b = 0.773315 0.862270I
0.88677 + 1.99270I 0.848048 + 0.470001I
u = 0.124215 + 0.736396I
a = 0.990663 + 0.007587I
b = 0.773315 + 0.862270I
0.88677 1.99270I 0.848048 0.470001I
u = 0.108163 0.898186I
a = 0.160076 + 1.236512I
b = 0.19203 2.09200I
6.67065 1.54680I 4.59829 + 6.25797I
u = 0.108163 + 0.898186I
a = 0.160076 1.236512I
b = 0.19203 + 2.09200I
6.67065 + 1.54680I 4.59829 6.25797I
9
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.095621 0.387780I
a = 0.997180 0.849860I
b = 0.107929 0.826484I
0.53065 + 1.48051I 2.48603 4.71879I
u = 0.095621 + 0.387780I
a = 0.997180 + 0.849860I
b = 0.107929 + 0.826484I
0.53065 1.48051I 2.48603 + 4.71879I
u = 0.009134 0.988049I
a = 1.17176 1.40665I
b = 0.419295 + 0.959004I
1.65327 2.04363I 0.10336 + 3.55726I
u = 0.009134 + 0.988049I
a = 1.17176 + 1.40665I
b = 0.419295 0.959004I
1.65327 + 2.04363I 0.10336 3.55726I
u = 0.008482 0.636918I
a = 2.35511 0.69632I
b = 0.988394 + 0.588682I
3.28489 + 6.00210I 7.65064 4.30372I
u = 0.008482 + 0.636918I
a = 2.35511 + 0.69632I
b = 0.988394 0.588682I
3.28489 6.00210I 7.65064 + 4.30372I
u = 0.107553 1.311214I
a = 0.486281 0.799457I
b = 0.116033 + 0.229724I
1.14303 + 3.39523I 2.01881 2.22554I
u = 0.107553 + 1.311214I
a = 0.486281 + 0.799457I
b = 0.116033 0.229724I
1.14303 3.39523I 2.01881 + 2.22554I
u = 0.115413 1.069036I
a = 1.224544 + 0.259945I
b = 0.361461 0.466977I
2.42247 + 2.01861I 2.49708 3.52513I
u = 0.115413 + 1.069036I
a = 1.224544 0.259945I
b = 0.361461 + 0.466977I
2.42247 2.01861I 2.49708 + 3.52513I
10
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.137988 1.377111I
a = 0.55145 + 1.57518I
b = 0.258320 0.982501I
2.63251 + 4.04535I 5.69998 5.91377I
u = 0.137988 + 1.377111I
a = 0.55145 1.57518I
b = 0.258320 + 0.982501I
2.63251 4.04535I 5.69998 + 5.91377I
u = 0.160612 1.247773I
a = 1.058609 0.647026I
b = 0.217074 + 0.261895I
2.79428 + 2.46741I 1.27973 2.07152I
u = 0.160612 + 1.247773I
a = 1.058609 + 0.647026I
b = 0.217074 0.261895I
2.79428 2.46741I 1.27973 + 2.07152I
u = 0.349842 1.327480I
a = 0.679576 + 0.414655I
b = 0.571692 1.174600I
5.29026 + 5.43982I 2.83535 4.83630I
u = 0.349842 + 1.327480I
a = 0.679576 0.414655I
b = 0.571692 + 1.174600I
5.29026 5.43982I 2.83535 + 4.83630I
u = 0.375745 1.233875I
a = 0.866963 0.552780I
b = 1.24744 + 1.48134I
0.98595 + 9.80145I 3.16107 8.33680I
u = 0.375745 + 1.233875I
a = 0.866963 + 0.552780I
b = 1.24744 1.48134I
0.98595 9.80145I 3.16107 + 8.33680I
u = 0.466743 0.937246I
a = 0.165566 + 0.296475I
b = 1.43932 + 0.58573I
2.07326 + 2.81362I 5.52778 3.47013I
u = 0.466743 + 0.937246I
a = 0.165566 0.296475I
b = 1.43932 0.58573I
2.07326 2.81362I 5.52778 + 3.47013I
11
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.495151 1.093386I
a = 0.946328 0.348354I
b = 1.48562 + 0.97929I
1.28833 + 3.68796I 6.46966 2.87065I
u = 0.495151 + 1.093386I
a = 0.946328 + 0.348354I
b = 1.48562 0.97929I
1.28833 3.68796I 6.46966 + 2.87065I
u = 0.511018 0.652105I
a = 0.507765 + 0.030487I
b = 0.666045 0.491883I
0.37334 + 1.83225I 2.24737 4.52862I
u = 0.511018 + 0.652105I
a = 0.507765 0.030487I
b = 0.666045 + 0.491883I
0.37334 1.83225I 2.24737 + 4.52862I
u = 0.55689 1.35935I
a = 1.018494 + 0.549701I
b = 1.01014 1.20335I
0.44931 + 11.14581I 2.99910 6.39924I
u = 0.55689 + 1.35935I
a = 1.018494 0.549701I
b = 1.01014 + 1.20335I
0.44931 11.14581I 2.99910 + 6.39924I
u = 0.56258 1.34774I
a = 0.871194 0.207546I
b = 0.564335 + 0.870193I
3.41784 + 5.58312I 0.81091 3.82052I
u = 0.56258 + 1.34774I
a = 0.871194 + 0.207546I
b = 0.564335 0.870193I
3.41784 5.58312I 0.81091 + 3.82052I
u = 0.575958 0.260159I
a = 1.54967 + 0.90132I
b = 1.120896 + 0.658835I
3.07340 + 6.23280I 7.21881 6.22872I
u = 0.575958 + 0.260159I
a = 1.54967 0.90132I
b = 1.120896 0.658835I
3.07340 6.23280I 7.21881 + 6.22872I
12
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.684441 0.249488I
a = 0.68628 1.24757I
b = 1.021779 0.180560I
3.68236 + 0.74433I 9.39772 1.01090I
u = 0.684441 + 0.249488I
a = 0.68628 + 1.24757I
b = 1.021779 + 0.180560I
3.68236 0.74433I 9.39772 + 1.01090I
u = 0.686254 0.472613I
a = 1.221992 + 0.526049I
b = 0.82867 1.24044I
3.41372 + 1.66088I 8.14360 3.27118I
u = 0.686254 + 0.472613I
a = 1.221992 0.526049I
b = 0.82867 + 1.24044I
3.41372 1.66088I 8.14360 + 3.27118I
u = 0.710719
a = 0.999380
b = 0.289572
1.42877 7.46793
u = 1.02026 1.19272I
a = 0.208006 + 0.045097I
b = 0.572775 0.139311I
0.69728 + 1.59725I 10.3641 10.4305I
u = 1.02026 + 1.19272I
a = 0.208006 0.045097I
b = 0.572775 + 0.139311I
0.69728 1.59725I 10.3641 + 10.4305I
u = 1.04753 1.03718I
a = 0.022947 0.412907I
b = 0.340369 0.115459I
1.67949 0.94183I 10.8843 + 9.4947I
u = 1.04753 + 1.03718I
a = 0.022947 + 0.412907I
b = 0.340369 + 0.115459I
1.67949 + 0.94183I 10.8843 9.4947I
u = 1.135626 0.013345I
a = 0.905124 0.450428I
b = 1.003126 0.792419I
4.70614 + 5.21682I 6.78815 4.08118I
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.135626 + 0.013345I
a = 0.905124 + 0.450428I
b = 1.003126 + 0.792419I
4.70614 5.21682I 6.78815 + 4.08118I
13
III. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u
12
2u
11
+ ··· u + 1)(u
81
+ u
80
+ ··· + 146u 11)
c
2
(u
12
+ 6u
11
+ ··· + 9u + 1)(u
81
+ 37u
80
+ ··· + 24110u 121)
c
3
(u
12
+ 2u
10
u
8
+ u
7
3u
6
+ u
5
u
4
u
3
+ 2u
2
u + 1)
(u
81
+ u
80
+ ··· + 4136u 361)
c
4
(u
12
u
11
+ 2u
10
u
9
u
8
+ u
7
3u
6
+ u
5
u
4
+ 2u
2
+ 1)
(u
81
+ 4u
80
+ ··· 337u 79)
c
5
(u
12
+ 2u
11
+ ··· + u + 1)(u
81
+ u
80
+ ··· + 146u 11)
c
6
(u
12
+ 4u
11
+ ··· + 3u + 1)(u
81
+ u
80
+ ··· + 204u + 53)
c
7
(u
12
+ u
11
+ 2u
10
+ u
9
u
8
u
7
3u
6
u
5
u
4
+ 2u
2
+ 1)
(u
81
+ 4u
80
+ ··· 337u 79)
c
8
(u
12
6u
11
+ ··· 8u + 1)(u
81
+ 3u
80
+ ··· 19u 1)
c
9
(u
12
+ 2u
10
u
8
u
7
3u
6
u
5
u
4
+ u
3
+ 2u
2
+ u + 1)
(u
81
+ u
80
+ ··· + 4136u 361)
c
10
(u + 1)(u
12
4u
11
+ ··· 3u + 1)(u
80
26u
78
+ ··· + 151u + 53)
c
11
(u
12
u
11
+ ··· 4u + 1)(u
81
+ 6u
80
+ ··· + 13u + 1)
14
IV. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
(y
12
+ 6y
11
+ ··· + 9y + 1)(y
81
+ 37y
80
+ ··· + 24110y 121)
c
2
(y
12
+ 6y
11
+ ··· 3y + 1)(y
81
+ 21y
80
+ ··· + 6.59238 × 10
8
y 14641)
c
3
, c
9
(y
12
+ 4y
11
+ ··· + 3y + 1)(y
81
+ 51y
80
+ ··· 2871244y 130321)
c
4
, c
7
(y
12
+ 3y
11
+ ··· + 4y + 1)(y
81
+ 46y
80
+ ··· 118533y 6241)
c
5
(y
12
+ 6y
11
+ ··· + 9y + 1)(y
81
+ 37y
80
+ ··· + 24110y 121)
c
6
(y
12
12y
11
+ ··· 9y + 1)(y
81
53y
80
+ ··· 83040y 2809)
c
8
(y
12
6y
11
+ ··· 16y + 1)(y
81
11y
80
+ ··· + 39y 1)
c
10
(y
12
12y
11
+ ··· 9y + 1)(y
81
53y
80
+ ··· 83040y 2809)
c
11
(y
12
+ 5y
11
+ ··· + 8y + 1)(y
81
+ 8y
80
+ ··· 25y 1)
15