12n
0516
(K12n
0516
)
A knot diagram
1
Linearized knot diagam
3 6 10 8 2 11 5 1 4 1 7 8
Solving Sequence
2,5
6
3,11
7 8 1 4 10 9 12
c
5
c
2
c
6
c
7
c
1
c
4
c
10
c
9
c
12
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.85298 × 10
46
u
63
− 5.20735 × 10
47
u
62
+ ··· + 6.20841 × 10
47
b − 2.06005 × 10
48
,
− 7.35896 × 10
48
u
63
− 9.51515 × 10
48
u
62
+ ··· + 4.34588 × 10
48
a + 4.04153 × 10
49
, u
64
+ u
63
+ ··· + u − 7i
I
u
2
= hu
13
− 2u
11
+ u
10
+ 5u
9
− u
8
− 6u
7
+ 3u
6
+ 6u
5
− 2u
4
− 3u
3
+ 2u
2
+ b + u − 1, −u
15
+ 2u
14
+ ··· + a − 3,
u
16
− 3u
14
+ u
13
+ 8u
12
− 2u
11
− 13u
10
+ 5u
9
+ 17u
8
− 6u
7
− 15u
6
+ 6u
5
+ 10u
4
− 4u
3
− 4u
2
+ u + 1i
* 2 irreducible components of dim
C
= 0, with total 80 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−7.85×10
46
u
63
−5.21×10
47
u
62
+· · ·+6.21×10
47
b−2.06×10
48
, −7.36×
10
48
u
63
−9.52×10
48
u
62
+· · ·+4.35×10
48
a+4.04×10
49
, u
64
+u
63
+· · ·+u−7i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
1.69332u
63
+ 2.18946u
62
+ ··· − 1.36290u − 9.29967
0.126489u
63
+ 0.838758u
62
+ ··· + 0.322847u + 3.31817
a
7
=
0.458095u
63
+ 0.270972u
62
+ ··· + 5.77781u − 3.68320
−0.652252u
63
− 0.459949u
62
+ ··· − 3.70273u − 0.960278
a
8
=
1.11035u
63
+ 0.730921u
62
+ ··· + 9.48054u − 2.72293
−0.652252u
63
− 0.459949u
62
+ ··· − 3.70273u − 0.960278
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
−0.390009u
63
+ 1.20156u
62
+ ··· + 9.75516u + 2.37373
−1.02634u
63
− 2.06653u
62
+ ··· − 6.84016u + 0.604319
a
10
=
1.03280u
63
+ 0.937261u
62
+ ··· − 5.99095u − 13.2305
0.117302u
63
+ 0.462797u
62
+ ··· + 0.960616u + 2.35400
a
9
=
−1.98871u
63
− 1.59326u
62
+ ··· − 13.0023u + 2.89409
0.669965u
63
+ 0.133677u
62
+ ··· + 3.58629u − 0.901368
a
12
=
0.547710u
63
+ 1.84010u
62
+ ··· − 2.73316u + 10.4198
1.08225u
63
+ 0.435476u
62
+ ··· + 6.51395u + 1.98262
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.58831u
63
− 4.70243u
62
+ ··· − 11.8066u − 39.5814
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
64
+ 25u
63
+ ··· + 365u + 49
c
2
, c
5
u
64
+ u
63
+ ··· + u − 7
c
3
, c
9
u
64
+ u
63
+ ··· − 21u − 11
c
4
, c
7
u
64
− 3u
63
+ ··· + 9u − 1
c
6
, c
11
u
64
− 3u
63
+ ··· − 2134u + 163
c
8
, c
12
u
64
+ 3u
63
+ ··· − 44u + 1
c
10
u
64
+ u
63
+ ··· + 1218u + 817
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
64
+ 35y
63
+ ··· − 129697y + 2401
c
2
, c
5
y
64
− 25y
63
+ ··· − 365y + 49
c
3
, c
9
y
64
+ 21y
63
+ ··· + 1847y + 121
c
4
, c
7
y
64
+ 3y
63
+ ··· + 67y + 1
c
6
, c
11
y
64
− 51y
63
+ ··· − 1941718y + 26569
c
8
, c
12
y
64
+ 63y
63
+ ··· − 222y + 1
c
10
y
64
− 17y
63
+ ··· − 71533104y + 667489
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.371115 + 0.915968I
a = −0.249549 + 0.000216I
b = 1.41996 − 0.06852I
−4.48635 + 5.15157I −8.61815 − 5.07687I
u = −0.371115 − 0.915968I
a = −0.249549 − 0.000216I
b = 1.41996 + 0.06852I
−4.48635 − 5.15157I −8.61815 + 5.07687I
u = −0.857881 + 0.542275I
a = −1.74491 − 1.24280I
b = −0.157463 + 1.230750I
3.16250 + 2.17822I −8.00000 − 2.65918I
u = −0.857881 − 0.542275I
a = −1.74491 + 1.24280I
b = −0.157463 − 1.230750I
3.16250 − 2.17822I −8.00000 + 2.65918I
u = −0.774165 + 0.604979I
a = −0.379187 − 0.211028I
b = −1.184290 − 0.467280I
−0.067270 − 0.618429I −7.06284 − 1.08548I
u = −0.774165 − 0.604979I
a = −0.379187 + 0.211028I
b = −1.184290 + 0.467280I
−0.067270 + 0.618429I −7.06284 + 1.08548I
u = −0.697346 + 0.673163I
a = −1.356820 − 0.219530I
b = −0.281088 − 0.295837I
1.16285 − 2.77092I −3.07563 + 5.25924I
u = −0.697346 − 0.673163I
a = −1.356820 + 0.219530I
b = −0.281088 + 0.295837I
1.16285 + 2.77092I −3.07563 − 5.25924I
u = −0.650023 + 0.706094I
a = −0.285329 + 0.030490I
b = −1.046050 − 0.338958I
−0.317206 − 0.693581I −9.74422 − 0.91005I
u = −0.650023 − 0.706094I
a = −0.285329 − 0.030490I
b = −1.046050 + 0.338958I
−0.317206 + 0.693581I −9.74422 + 0.91005I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.005520 + 0.304620I
a = −0.923017 + 0.876033I
b = −0.04591 + 1.48528I
−3.50871 + 0.31411I −14.0279 − 2.5519I
u = −1.005520 − 0.304620I
a = −0.923017 − 0.876033I
b = −0.04591 − 1.48528I
−3.50871 − 0.31411I −14.0279 + 2.5519I
u = 1.06514
a = 2.45909
b = 1.23942
−5.55858 −18.6480
u = −0.895727 + 0.581855I
a = 1.75893 + 1.76078I
b = 1.60878 − 0.32014I
−0.42753 + 5.30671I −8.00000 − 5.96802I
u = −0.895727 − 0.581855I
a = 1.75893 − 1.76078I
b = 1.60878 + 0.32014I
−0.42753 − 5.30671I −8.00000 + 5.96802I
u = 0.597067 + 0.892023I
a = 0.024569 + 0.245452I
b = −1.45388 − 0.06677I
−3.48226 + 1.14380I 0
u = 0.597067 − 0.892023I
a = 0.024569 − 0.245452I
b = −1.45388 + 0.06677I
−3.48226 − 1.14380I 0
u = −0.559478 + 0.919447I
a = −0.206651 − 0.005295I
b = 1.53912 + 0.83354I
−3.36566 − 9.85168I 0
u = −0.559478 − 0.919447I
a = −0.206651 + 0.005295I
b = 1.53912 − 0.83354I
−3.36566 + 9.85168I 0
u = 0.916404 + 0.593398I
a = 0.319890 + 0.450880I
b = 0.167272 − 0.326682I
1.79208 − 3.22792I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.916404 − 0.593398I
a = 0.319890 − 0.450880I
b = 0.167272 + 0.326682I
1.79208 + 3.22792I 0
u = 0.968315 + 0.512599I
a = 0.667248 + 1.104970I
b = −1.13705 + 1.56486I
−2.38426 − 5.52251I 0
u = 0.968315 − 0.512599I
a = 0.667248 − 1.104970I
b = −1.13705 − 1.56486I
−2.38426 + 5.52251I 0
u = 0.458469 + 0.773809I
a = −0.365977 − 0.435982I
b = 1.36736 − 0.65169I
1.92183 + 3.34302I −2.34549 − 5.45826I
u = 0.458469 − 0.773809I
a = −0.365977 + 0.435982I
b = 1.36736 + 0.65169I
1.92183 − 3.34302I −2.34549 + 5.45826I
u = 0.781870 + 0.435593I
a = 2.32610 − 2.04972I
b = 1.55966 + 0.88903I
−1.62663 + 1.61635I −10.68775 − 0.61960I
u = 0.781870 − 0.435593I
a = 2.32610 + 2.04972I
b = 1.55966 − 0.88903I
−1.62663 − 1.61635I −10.68775 + 0.61960I
u = 0.394059 + 0.796783I
a = 0.067963 − 0.328943I
b = −1.29066 + 0.68009I
−4.83374 + 2.64674I −8.71564 − 1.20360I
u = 0.394059 − 0.796783I
a = 0.067963 + 0.328943I
b = −1.29066 − 0.68009I
−4.83374 − 2.64674I −8.71564 + 1.20360I
u = 0.851879 + 0.716505I
a = −0.867199 + 0.921044I
b = −0.045981 − 1.060590I
2.98092 − 2.73164I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.851879 − 0.716505I
a = −0.867199 − 0.921044I
b = −0.045981 + 1.060590I
2.98092 + 2.73164I 0
u = 0.692371 + 0.478325I
a = −0.687637 + 1.208310I
b = −0.067945 + 0.390241I
2.43536 − 1.37800I −3.03170 + 4.30230I
u = 0.692371 − 0.478325I
a = −0.687637 − 1.208310I
b = −0.067945 − 0.390241I
2.43536 + 1.37800I −3.03170 − 4.30230I
u = −0.965929 + 0.642706I
a = 1.406400 − 0.035612I
b = 0.366038 − 0.021949I
0.34858 + 7.88695I 0
u = −0.965929 − 0.642706I
a = 1.406400 + 0.035612I
b = 0.366038 + 0.021949I
0.34858 − 7.88695I 0
u = 0.827576 + 0.058957I
a = 0.354062 − 1.262080I
b = −0.449402 + 0.256518I
−3.04990 + 3.22340I −13.6310 − 5.3592I
u = 0.827576 − 0.058957I
a = 0.354062 + 1.262080I
b = −0.449402 − 0.256518I
−3.04990 − 3.22340I −13.6310 + 5.3592I
u = −1.172890 + 0.150474I
a = −1.81652 − 0.37330I
b = −1.64426 + 0.42875I
−3.25362 − 1.09733I 0
u = −1.172890 − 0.150474I
a = −1.81652 + 0.37330I
b = −1.64426 − 0.42875I
−3.25362 + 1.09733I 0
u = −1.187400 + 0.076445I
a = 2.20975 + 0.70478I
b = 1.68317 + 0.47480I
−10.28720 − 0.24729I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.187400 − 0.076445I
a = 2.20975 − 0.70478I
b = 1.68317 − 0.47480I
−10.28720 + 0.24729I 0
u = 0.649477 + 0.461049I
a = −0.545471 + 1.205120I
b = 0.025243 + 0.420984I
2.43555 − 1.37713I −2.48418 + 4.50652I
u = 0.649477 − 0.461049I
a = −0.545471 − 1.205120I
b = 0.025243 − 0.420984I
2.43555 + 1.37713I −2.48418 − 4.50652I
u = −1.010460 + 0.669661I
a = 1.34958 + 1.35057I
b = 1.206140 − 0.351826I
−1.39409 + 6.02950I 0
u = −1.010460 − 0.669661I
a = 1.34958 − 1.35057I
b = 1.206140 + 0.351826I
−1.39409 − 6.02950I 0
u = −0.898375 + 0.815724I
a = 0.506734 − 0.223654I
b = −0.012593 − 0.831763I
8.50218 + 3.05145I 0
u = −0.898375 − 0.815724I
a = 0.506734 + 0.223654I
b = −0.012593 + 0.831763I
8.50218 − 3.05145I 0
u = 1.234370 + 0.078310I
a = −2.24169 − 0.21794I
b = −1.84636 − 0.41895I
−10.34120 − 8.02728I 0
u = 1.234370 − 0.078310I
a = −2.24169 + 0.21794I
b = −1.84636 + 0.41895I
−10.34120 + 8.02728I 0
u = 1.092590 + 0.608643I
a = 1.85261 − 1.17381I
b = 1.38520 + 0.95415I
−6.86464 − 7.86312I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.092590 − 0.608643I
a = 1.85261 + 1.17381I
b = 1.38520 − 0.95415I
−6.86464 + 7.86312I 0
u = 1.090750 + 0.629227I
a = −1.67774 + 1.10641I
b = −1.79920 − 0.82291I
0.06662 − 8.65572I 0
u = 1.090750 − 0.629227I
a = −1.67774 − 1.10641I
b = −1.79920 + 0.82291I
0.06662 + 8.65572I 0
u = 0.928957 + 0.899756I
a = −0.280326 + 0.368000I
b = 0.099596 − 0.430826I
4.89538 − 3.31206I 0
u = 0.928957 − 0.899756I
a = −0.280326 − 0.368000I
b = 0.099596 + 0.430826I
4.89538 + 3.31206I 0
u = −1.153990 + 0.595067I
a = −1.11490 − 1.27051I
b = −1.57061 + 0.32109I
−6.95046 + 0.36378I 0
u = −1.153990 − 0.595067I
a = −1.11490 + 1.27051I
b = −1.57061 − 0.32109I
−6.95046 − 0.36378I 0
u = 1.088600 + 0.714285I
a = 0.79820 − 1.46524I
b = 1.60298 + 0.07379I
−4.99650 − 7.10286I 0
u = 1.088600 − 0.714285I
a = 0.79820 + 1.46524I
b = 1.60298 − 0.07379I
−4.99650 + 7.10286I 0
u = −1.106450 + 0.707429I
a = −1.66490 − 1.28159I
b = −1.67082 + 1.00047I
−5.0534 + 15.8408I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.106450 − 0.707429I
a = −1.66490 + 1.28159I
b = −1.67082 − 1.00047I
−5.0534 − 15.8408I 0
u = −0.525925
a = −0.416776
b = −0.487079
−0.777990 −12.7260
u = −0.035617 + 0.416471I
a = −1.82679 − 1.45388I
b = 0.296847 + 0.840473I
−0.83793 + 2.36944I −4.69100 − 1.64356I
u = −0.035617 − 0.416471I
a = −1.82679 + 1.45388I
b = 0.296847 − 0.840473I
−0.83793 − 2.36944I −4.69100 + 1.64356I
11
II.
I
u
2
= hu
13
−2u
11
+· · ·+b−1, −u
15
+2u
14
+· · ·+a−3, u
16
−3u
14
+· · ·+u+1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
u
15
− 2u
14
+ ··· + 4u + 3
−u
13
+ 2u
11
+ ··· − u + 1
a
7
=
3u
15
+ u
14
+ ··· − 5u + 2
u
14
− 3u
12
+ ··· − 2u − 1
a
8
=
3u
15
− 9u
13
+ ··· − 3u + 3
u
14
− 3u
12
+ ··· − 2u − 1
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
−2u
15
+ u
14
+ ··· + 2u − 3
−u
14
+ 3u
12
+ ··· + 3u + 2
a
10
=
u
15
− 2u
14
+ ··· + 5u + 3
−u
13
+ 2u
11
− u
10
− 5u
9
+ 6u
7
− u
6
− 7u
5
− u
4
+ 4u
3
+ u
2
− 2u
a
9
=
3u
15
− 8u
13
+ ··· − 2u + 3
u
14
− 3u
12
+ ··· − 2u − 2
a
12
=
2u
15
− u
14
+ ··· − 9u
2
+ 2u
u
15
− 3u
13
+ ··· − 2u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2u
15
+ 4u
14
+ 6u
13
− 13u
12
− 17u
11
+ 32u
10
+ 27u
9
− 57u
8
−
34u
7
+ 66u
6
+ 28u
5
− 63u
4
− 14u
3
+ 35u
2
− u − 18
12
(iv) u-Polynomials at the component
13
Crossings u-Polynomials at each crossing
c
1
u
16
− 6u
15
+ ··· − 9u + 1
c
2
u
16
− 3u
14
+ ··· − u + 1
c
3
u
16
+ 8u
14
+ ··· − u + 1
c
4
u
16
− 2u
15
+ ··· + u + 1
c
5
u
16
− 3u
14
+ ··· + u + 1
c
6
u
16
− 6u
14
+ ··· − 4u + 1
c
7
u
16
+ 2u
15
+ ··· − u + 1
c
8
u
16
+ 4u
15
+ ··· + 8u + 3
c
9
u
16
+ 8u
14
+ ··· + u + 1
c
10
u
16
− 12u
15
+ ··· + 4u + 1
c
11
u
16
− 6u
14
+ ··· + 4u + 1
c
12
u
16
− 4u
15
+ ··· − 8u + 3
14
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
16
+ 14y
15
+ ··· + 7y + 1
c
2
, c
5
y
16
− 6y
15
+ ··· − 9y + 1
c
3
, c
9
y
16
+ 16y
15
+ ··· + 11y + 1
c
4
, c
7
y
16
+ 10y
15
+ ··· − 5y + 1
c
6
, c
11
y
16
− 12y
15
+ ··· − 14y + 1
c
8
, c
12
y
16
+ 6y
15
+ ··· + 14y + 9
c
10
y
16
− 2y
15
+ ··· − 16y + 1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.697088 + 0.669632I
a = 1.019220 − 0.460118I
b = 1.149200 + 0.054160I
0.02773 + 1.95723I −6.96082 − 3.46038I
u = 0.697088 − 0.669632I
a = 1.019220 + 0.460118I
b = 1.149200 − 0.054160I
0.02773 − 1.95723I −6.96082 + 3.46038I
u = −0.858913 + 0.641497I
a = 1.25891 + 1.35675I
b = 0.060267 − 1.095260I
4.17448 + 2.50164I 1.63264 − 3.76808I
u = −0.858913 − 0.641497I
a = 1.25891 − 1.35675I
b = 0.060267 + 1.095260I
4.17448 − 2.50164I 1.63264 + 3.76808I
u = −1.083430 + 0.218721I
a = −1.93923 − 0.45656I
b = −1.45846 + 0.77557I
−3.73156 − 1.08240I −18.1024 + 3.9332I
u = −1.083430 − 0.218721I
a = −1.93923 + 0.45656I
b = −1.45846 − 0.77557I
−3.73156 + 1.08240I −18.1024 − 3.9332I
u = 0.993253 + 0.639630I
a = −1.29065 + 1.22703I
b = −1.367360 + 0.028381I
−0.90271 − 7.06415I −9.34862 + 8.78611I
u = 0.993253 − 0.639630I
a = −1.29065 − 1.22703I
b = −1.367360 − 0.028381I
−0.90271 + 7.06415I −9.34862 − 8.78611I
u = 0.764991 + 0.200725I
a = 1.38195 − 1.78127I
b = 0.126233 − 0.802194I
1.83703 − 0.82457I −12.09308 − 1.50076I
u = 0.764991 − 0.200725I
a = 1.38195 + 1.78127I
b = 0.126233 + 0.802194I
1.83703 + 0.82457I −12.09308 + 1.50076I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.904876 + 0.830651I
a = −0.283918 + 0.502389I
b = 0.025373 + 0.533046I
7.95111 + 3.09873I −10.71462 − 3.22283I
u = −0.904876 − 0.830651I
a = −0.283918 − 0.502389I
b = 0.025373 − 0.533046I
7.95111 − 3.09873I −10.71462 + 3.22283I
u = 0.921176 + 0.893488I
a = −0.537236 + 0.264160I
b = 0.095236 − 0.832026I
5.34876 − 3.28911I 3.79077 + 2.57921I
u = 0.921176 − 0.893488I
a = −0.537236 − 0.264160I
b = 0.095236 + 0.832026I
5.34876 + 3.28911I 3.79077 − 2.57921I
u = −0.529286 + 0.266978I
a = −1.60905 + 2.15788I
b = 0.869516 + 0.421920I
−1.54536 + 3.30158I −8.70391 − 5.45477I
u = −0.529286 − 0.266978I
a = −1.60905 − 2.15788I
b = 0.869516 − 0.421920I
−1.54536 − 3.30158I −8.70391 + 5.45477I
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
16
− 6u
15
+ ··· − 9u + 1)(u
64
+ 25u
63
+ ··· + 365u + 49)
c
2
(u
16
− 3u
14
+ ··· − u + 1)(u
64
+ u
63
+ ··· + u − 7)
c
3
(u
16
+ 8u
14
+ ··· − u + 1)(u
64
+ u
63
+ ··· − 21u − 11)
c
4
(u
16
− 2u
15
+ ··· + u + 1)(u
64
− 3u
63
+ ··· + 9u − 1)
c
5
(u
16
− 3u
14
+ ··· + u + 1)(u
64
+ u
63
+ ··· + u − 7)
c
6
(u
16
− 6u
14
+ ··· − 4u + 1)(u
64
− 3u
63
+ ··· − 2134u + 163)
c
7
(u
16
+ 2u
15
+ ··· − u + 1)(u
64
− 3u
63
+ ··· + 9u − 1)
c
8
(u
16
+ 4u
15
+ ··· + 8u + 3)(u
64
+ 3u
63
+ ··· − 44u + 1)
c
9
(u
16
+ 8u
14
+ ··· + u + 1)(u
64
+ u
63
+ ··· − 21u − 11)
c
10
(u
16
− 12u
15
+ ··· + 4u + 1)(u
64
+ u
63
+ ··· + 1218u + 817)
c
11
(u
16
− 6u
14
+ ··· + 4u + 1)(u
64
− 3u
63
+ ··· − 2134u + 163)
c
12
(u
16
− 4u
15
+ ··· − 8u + 3)(u
64
+ 3u
63
+ ··· − 44u + 1)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
16
+ 14y
15
+ ··· + 7y + 1)(y
64
+ 35y
63
+ ··· − 129697y + 2401)
c
2
, c
5
(y
16
− 6y
15
+ ··· − 9y + 1)(y
64
− 25y
63
+ ··· − 365y + 49)
c
3
, c
9
(y
16
+ 16y
15
+ ··· + 11y + 1)(y
64
+ 21y
63
+ ··· + 1847y + 121)
c
4
, c
7
(y
16
+ 10y
15
+ ··· − 5y + 1)(y
64
+ 3y
63
+ ··· + 67y + 1)
c
6
, c
11
(y
16
− 12y
15
+ ··· − 14y + 1)(y
64
− 51y
63
+ ··· − 1941718y + 26569)
c
8
, c
12
(y
16
+ 6y
15
+ ··· + 14y + 9)(y
64
+ 63y
63
+ ··· − 222y + 1)
c
10
(y
16
− 2y
15
+ ··· − 16y + 1)
· (y
64
− 17y
63
+ ··· − 71533104y + 667489)
20
