12n
0716
(K12n
0716
)
A knot diagram
1
Linearized knot diagam
4 6 7 8 10 9 12 2 3 5 8 7
Solving Sequence
7,9 2,6
3 4 10 1 5 8 12 11
c
6
c
2
c
3
c
9
c
1
c
5
c
8
c
12
c
11
c
4
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h9.32641 × 10
147
u
57
− 3.65205 × 10
146
u
56
+ ··· + 6.45245 × 10
146
b + 1.05947 × 10
149
,
3.12608 × 10
148
u
57
+ 1.49996 × 10
148
u
56
+ ··· + 6.45245 × 10
146
a + 9.19957 × 10
149
,
u
58
+ u
57
+ ··· + 102u + 17i
I
u
2
= h6502096368680u
18
+ 40798146932259u
17
+ ··· + 25298539696097b + 12982884850055,
− 18835536785489u
18
− 89002616845968u
17
+ ··· + 25298539696097a − 49130182644029,
u
19
+ 4u
18
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 77 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
= h9.33 × 10
147
u
57
− 3.65 × 10
146
u
56
+ · · · + 6.45 × 10
146
b + 1.06 ×
10
149
, 3.13 × 10
148
u
57
+ 1.50 × 10
148
u
56
+ · · · + 6.45 × 10
146
a + 9.20 ×
10
149
, u
58
+ u
57
+ · · · + 102u + 17i
(i) Arc colorings
a
7
=
1
0
a
9
=
0
u
a
2
=
−48.4480u
57
− 23.2464u
56
+ ··· − 6241.67u − 1425.75
−14.4541u
57
+ 0.565994u
56
+ ··· − 1020.45u − 164.197
a
6
=
1
−u
2
a
3
=
−73.7734u
57
− 30.7942u
56
+ ··· − 9009.07u − 2018.38
−2.48392u
57
+ 4.81221u
56
+ ··· + 362.332u + 138.022
a
4
=
−71.2895u
57
− 35.6064u
56
+ ··· − 9371.40u − 2156.40
−2.48392u
57
+ 4.81221u
56
+ ··· + 362.332u + 138.022
a
10
=
−49.2274u
57
− 16.9528u
56
+ ··· − 5838.76u − 1396.24
17.8595u
57
+ 6.03724u
56
+ ··· + 2066.98u + 466.549
a
1
=
87.3955u
57
+ 43.1083u
56
+ ··· + 11436.3u + 2572.35
−17.4932u
57
− 11.0326u
56
+ ··· − 2593.30u − 626.761
a
5
=
−25.1085u
57
+ 7.32127u
56
+ ··· − 879.198u − 1.92119
13.8487u
57
+ 4.28606u
56
+ ··· + 1443.05u + 285.809
a
8
=
−38.4720u
57
− 15.8661u
56
+ ··· − 4872.65u − 1186.00
8.37163u
57
+ 3.81598u
56
+ ··· + 1075.83u + 256.175
a
12
=
69.9024u
57
+ 32.0757u
56
+ ··· + 8843.00u + 1945.59
−17.4932u
57
− 11.0326u
56
+ ··· − 2593.30u − 626.761
a
11
=
188.771u
57
+ 57.7574u
56
+ ··· + 20419.4u + 4195.36
−55.5034u
57
− 26.6276u
56
+ ··· − 7148.10u − 1617.81
(ii) Obstruction class = −1
(iii) Cusp Shapes = 152.678u
57
+ 38.4757u
56
+ ··· + 15871.4u + 3232.62
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
58
+ 4u
57
+ ··· + 36890u + 11033
c
2
u
58
− 3u
57
+ ··· + 14u + 29
c
3
u
58
− u
57
+ ··· + 3040u + 373
c
4
u
58
− u
57
+ ··· − 79133u + 6037
c
5
, c
10
u
58
− u
57
+ ··· + 226u + 299
c
6
u
58
− u
57
+ ··· − 102u + 17
c
7
, c
11
, c
12
u
58
− u
56
+ ··· − 77u + 67
c
8
u
58
− u
57
+ ··· − 318u + 37
c
9
u
58
− u
57
+ ··· + 597u + 301
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
58
− 70y
57
+ ··· + 4940625850y + 121727089
c
2
y
58
+ 11y
57
+ ··· + 23062y + 841
c
3
y
58
− 67y
57
+ ··· − 4505246y + 139129
c
4
y
58
+ 97y
57
+ ··· − 269971117y + 36445369
c
5
, c
10
y
58
+ 77y
57
+ ··· + 6195034y + 89401
c
6
y
58
− 7y
57
+ ··· − 11084y + 289
c
7
, c
11
, c
12
y
58
− 2y
57
+ ··· − 22277y + 4489
c
8
y
58
− 13y
57
+ ··· − 27050y + 1369
c
9
y
58
+ 39y
57
+ ··· + 3573447y + 90601
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.978354 + 0.283113I
a = −1.022500 − 0.316283I
b = 2.12647 + 2.00443I
−13.17140 + 2.12358I 0
u = 0.978354 − 0.283113I
a = −1.022500 + 0.316283I
b = 2.12647 − 2.00443I
−13.17140 − 2.12358I 0
u = −0.752867 + 0.705964I
a = −1.47988 + 0.29568I
b = 0.711075 − 0.693834I
2.00803 + 4.95664I 0
u = −0.752867 − 0.705964I
a = −1.47988 − 0.29568I
b = 0.711075 + 0.693834I
2.00803 − 4.95664I 0
u = −0.021606 + 1.042490I
a = 0.605699 − 0.199313I
b = −0.087128 − 0.351024I
−1.04699 − 2.20023I 0
u = −0.021606 − 1.042490I
a = 0.605699 + 0.199313I
b = −0.087128 + 0.351024I
−1.04699 + 2.20023I 0
u = 0.730237 + 0.516053I
a = 0.945824 − 0.083393I
b = −0.608386 − 0.180858I
−1.28329 − 0.82809I 0
u = 0.730237 − 0.516053I
a = 0.945824 + 0.083393I
b = −0.608386 + 0.180858I
−1.28329 + 0.82809I 0
u = −1.011420 + 0.459011I
a = 1.005890 + 0.081651I
b = −1.98236 − 0.47508I
−8.23668 + 4.75000I 0
u = −1.011420 − 0.459011I
a = 1.005890 − 0.081651I
b = −1.98236 + 0.47508I
−8.23668 − 4.75000I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.808030 + 0.355010I
a = −1.248830 + 0.214250I
b = 2.12302 − 1.95955I
−12.9566 + 6.6659I −8.33432 − 5.93696I
u = −0.808030 − 0.355010I
a = −1.248830 − 0.214250I
b = 2.12302 + 1.95955I
−12.9566 − 6.6659I −8.33432 + 5.93696I
u = 0.732606 + 0.484280I
a = −0.02375 + 1.60249I
b = 0.838938 + 0.086999I
−3.28744 − 3.99070I −6.28941 + 10.46209I
u = 0.732606 − 0.484280I
a = −0.02375 − 1.60249I
b = 0.838938 − 0.086999I
−3.28744 + 3.99070I −6.28941 − 10.46209I
u = 0.746409 + 0.883704I
a = −0.751616 + 0.255620I
b = 0.931800 + 0.019629I
−0.04235 − 4.12900I 0
u = 0.746409 − 0.883704I
a = −0.751616 − 0.255620I
b = 0.931800 − 0.019629I
−0.04235 + 4.12900I 0
u = 0.985690 + 0.715159I
a = 0.575617 − 0.238058I
b = −1.27171 − 0.91723I
−3.11700 − 0.41257I 0
u = 0.985690 − 0.715159I
a = 0.575617 + 0.238058I
b = −1.27171 + 0.91723I
−3.11700 + 0.41257I 0
u = 1.121880 + 0.476222I
a = −0.837277 − 0.112755I
b = 0.512753 + 0.236984I
−7.16469 + 0.96886I 0
u = 1.121880 − 0.476222I
a = −0.837277 + 0.112755I
b = 0.512753 − 0.236984I
−7.16469 − 0.96886I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512119 + 0.545033I
a = −1.46989 − 3.06304I
b = −1.186610 + 0.163124I
−11.32390 − 5.55214I −6.05702 + 10.68812I
u = 0.512119 − 0.545033I
a = −1.46989 + 3.06304I
b = −1.186610 − 0.163124I
−11.32390 + 5.55214I −6.05702 − 10.68812I
u = −0.650731 + 0.360978I
a = −0.220817 + 0.270921I
b = 0.558549 + 0.592918I
0.97857 + 1.34764I 1.20863 − 1.90484I
u = −0.650731 − 0.360978I
a = −0.220817 − 0.270921I
b = 0.558549 − 0.592918I
0.97857 − 1.34764I 1.20863 + 1.90484I
u = −0.706988 + 0.191916I
a = 1.207780 + 0.336196I
b = −1.62149 + 1.23816I
−5.06129 + 2.88568I −10.29317 − 4.15126I
u = −0.706988 − 0.191916I
a = 1.207780 − 0.336196I
b = −1.62149 − 1.23816I
−5.06129 − 2.88568I −10.29317 + 4.15126I
u = −0.714136 + 0.102569I
a = 0.180781 − 0.094367I
b = 0.313317 + 0.970168I
0.95341 + 1.39786I 0. − 4.36298I
u = −0.714136 − 0.102569I
a = 0.180781 + 0.094367I
b = 0.313317 − 0.970168I
0.95341 − 1.39786I 0. + 4.36298I
u = −0.789280 + 1.027180I
a = 1.162150 + 0.098574I
b = −0.297760 + 1.314410I
3.72423 + 4.17964I 0
u = −0.789280 − 1.027180I
a = 1.162150 − 0.098574I
b = −0.297760 − 1.314410I
3.72423 − 4.17964I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.661484 + 0.131372I
a = −1.61381 − 1.76919I
b = 1.142210 − 0.250578I
−4.95159 − 1.58123I −12.72547 + 4.19342I
u = −0.661484 − 0.131372I
a = −1.61381 + 1.76919I
b = 1.142210 + 0.250578I
−4.95159 + 1.58123I −12.72547 − 4.19342I
u = −0.596881 + 0.223416I
a = 1.45797 + 3.91853I
b = −1.215330 − 0.234147I
−12.26330 − 4.23472I −15.9047 − 3.6723I
u = −0.596881 − 0.223416I
a = 1.45797 − 3.91853I
b = −1.215330 + 0.234147I
−12.26330 + 4.23472I −15.9047 + 3.6723I
u = 0.356395 + 0.520924I
a = −1.69906 + 0.59493I
b = 1.096080 − 0.085972I
1.80039 − 2.57383I 5.38400 − 2.93907I
u = 0.356395 − 0.520924I
a = −1.69906 − 0.59493I
b = 1.096080 + 0.085972I
1.80039 + 2.57383I 5.38400 + 2.93907I
u = 0.885427 + 1.046070I
a = 0.710398 − 0.265808I
b = −0.981104 + 0.026642I
−5.39449 − 7.69009I 0
u = 0.885427 − 1.046070I
a = 0.710398 + 0.265808I
b = −0.981104 − 0.026642I
−5.39449 + 7.69009I 0
u = 0.486522 + 0.094968I
a = 1.80254 + 0.26449I
b = −2.07362 + 0.92123I
−1.40037 − 1.47316I −12.54545 + 3.45881I
u = 0.486522 − 0.094968I
a = 1.80254 − 0.26449I
b = −2.07362 − 0.92123I
−1.40037 + 1.47316I −12.54545 − 3.45881I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.19352 + 0.94117I
a = −1.204670 + 0.063256I
b = 1.78387 + 1.43958I
−14.2334 − 6.5996I 0
u = 1.19352 − 0.94117I
a = −1.204670 − 0.063256I
b = 1.78387 − 1.43958I
−14.2334 + 6.5996I 0
u = 1.22610 + 0.96871I
a = 0.810697 − 0.054852I
b = −1.23911 − 0.82077I
−5.33251 − 5.39729I 0
u = 1.22610 − 0.96871I
a = 0.810697 + 0.054852I
b = −1.23911 + 0.82077I
−5.33251 + 5.39729I 0
u = −1.22293 + 1.02156I
a = −1.098950 − 0.142369I
b = 1.84153 − 1.40803I
−14.3837 + 15.6323I 0
u = −1.22293 − 1.02156I
a = −1.098950 + 0.142369I
b = 1.84153 + 1.40803I
−14.3837 − 15.6323I 0
u = −0.368757 + 0.122339I
a = −2.10821 − 2.73770I
b = 0.080985 − 0.743327I
−5.63216 + 2.85604I −3.43519 − 6.70068I
u = −0.368757 − 0.122339I
a = −2.10821 + 2.73770I
b = 0.080985 + 0.743327I
−5.63216 − 2.85604I −3.43519 + 6.70068I
u = −1.32331 + 0.93938I
a = 0.795174 + 0.113198I
b = −1.87724 + 0.86238I
−5.22956 + 10.04150I 0
u = −1.32331 − 0.93938I
a = 0.795174 − 0.113198I
b = −1.87724 − 0.86238I
−5.22956 − 10.04150I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.01030 + 1.36653I
a = 0.030621 − 0.683753I
b = −1.47110 + 0.34572I
−13.01410 − 1.61237I 0
u = 1.01030 − 1.36653I
a = 0.030621 + 0.683753I
b = −1.47110 − 0.34572I
−13.01410 + 1.61237I 0
u = 1.26701 + 1.22861I
a = −0.402511 + 0.274929I
b = 1.059920 + 0.313320I
−4.54366 − 3.45223I 0
u = 1.26701 − 1.22861I
a = −0.402511 − 0.274929I
b = 1.059920 − 0.313320I
−4.54366 + 3.45223I 0
u = −1.18838 + 1.41989I
a = 0.106667 + 0.601431I
b = −1.63734 − 0.17748I
−13.4658 − 6.8258I 0
u = −1.18838 − 1.41989I
a = 0.106667 − 0.601431I
b = −1.63734 + 0.17748I
−13.4658 + 6.8258I 0
u = −1.91576 + 2.38425I
a = −0.216048 − 0.243096I
b = 1.92977 − 2.11029I
−3.30943 + 0.07106I 0
u = −1.91576 − 2.38425I
a = −0.216048 + 0.243096I
b = 1.92977 + 2.11029I
−3.30943 − 0.07106I 0
10
II.
I
u
2
= h6.50×10
12
u
18
+4.08×10
13
u
17
+· · ·+2.53×10
13
b+1.30×10
13
, −1.88×
10
13
u
18
−8.90×10
13
u
17
+· · ·+2.53×10
13
a−4.91×10
13
, u
19
+4u
18
+· · ·−2u+1i
(i) Arc colorings
a
7
=
1
0
a
9
=
0
u
a
2
=
0.744531u
18
+ 3.51809u
17
+ ··· − 2.76311u + 1.94202
−0.257015u
18
− 1.61267u
17
+ ··· + 0.202295u − 0.513187
a
6
=
1
−u
2
a
3
=
0.540524u
18
+ 2.08714u
17
+ ··· − 2.22540u + 0.888859
−0.0370083u
18
− 0.886816u
17
+ ··· + 1.22815u − 1.12812
a
4
=
0.577533u
18
+ 2.97396u
17
+ ··· − 3.45355u + 2.01697
−0.0370083u
18
− 0.886816u
17
+ ··· + 1.22815u − 1.12812
a
10
=
1.20075u
18
+ 4.08882u
17
+ ··· + 10.0167u − 1.90320
0.239898u
18
+ 0.598416u
17
+ ··· + 6.21331u − 1.84331
a
1
=
−0.752820u
18
− 2.94691u
17
+ ··· − 0.553470u − 0.451732
0.168444u
18
+ 0.743706u
17
+ ··· − 0.318830u − 0.418813
a
5
=
−1.90951u
18
− 7.62147u
17
+ ··· + 6.99781u − 3.67692
−1.34248u
18
− 5.54152u
17
+ ··· − 3.28866u − 1.14524
a
8
=
0.673031u
18
+ 2.44887u
17
+ ··· + 5.25821u + 1.01487
0.0389889u
18
− 0.358490u
17
+ ··· + 4.33387u − 2.03220
a
12
=
−0.584376u
18
− 2.20320u
17
+ ··· − 0.872300u − 0.870545
0.168444u
18
+ 0.743706u
17
+ ··· − 0.318830u − 0.418813
a
11
=
−0.824046u
18
− 2.14442u
17
+ ··· − 15.2096u + 2.87817
0.442934u
18
+ 2.09877u
17
+ ··· − 6.59494u + 2.09929
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
60039139679030
25298539696097
u
18
+
320104751352385
25298539696097
u
17
+ ··· +
314655911815936
25298539696097
u −
40421190702295
25298539696097
11
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
19
− 15u
18
+ ··· + 6u − 1
c
2
u
19
− 4u
18
+ ··· + 6u − 1
c
3
u
19
+ 2u
18
+ ··· + 26u − 11
c
4
u
19
+ 7u
17
+ ··· + 3u + 1
c
5
u
19
+ 6u
18
+ ··· + 10u + 3
c
6
u
19
+ 4u
18
+ ··· − 2u + 1
c
7
u
19
+ u
18
+ ··· + 7u − 1
c
8
u
19
+ 2u
18
+ ··· − 2u − 1
c
9
u
19
+ 10u
17
+ ··· + 3u − 1
c
10
u
19
− 6u
18
+ ··· + 10u − 3
c
11
, c
12
u
19
− u
18
+ ··· + 7u + 1
12
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
19
− 41y
18
+ ··· − 10y −1
c
2
y
19
+ 12y
17
+ ··· + 46y −1
c
3
y
19
− 22y
18
+ ··· + 698y −121
c
4
y
19
+ 14y
18
+ ··· + 65y −1
c
5
, c
10
y
19
− 10y
18
+ ··· − 86y −9
c
6
y
19
− 34y
18
+ ··· − 8y −1
c
7
, c
11
, c
12
y
19
+ 11y
18
+ ··· + 21y −1
c
8
y
19
+ 8y
18
+ ··· − 14y −1
c
9
y
19
+ 20y
18
+ ··· + 25y −1
13
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.980072 + 0.125353I
a = −0.254801 + 0.853262I
b = 0.0019611 + 0.1375350I
−6.59968 − 2.07063I −10.17942 + 3.44207I
u = 0.980072 − 0.125353I
a = −0.254801 − 0.853262I
b = 0.0019611 − 0.1375350I
−6.59968 + 2.07063I −10.17942 − 3.44207I
u = −0.883829 + 0.417064I
a = 0.191263 − 0.430849I
b = −0.45269 + 1.49682I
−0.415899 − 0.536043I −5.84908 − 0.73218I
u = −0.883829 − 0.417064I
a = 0.191263 + 0.430849I
b = −0.45269 − 1.49682I
−0.415899 + 0.536043I −5.84908 + 0.73218I
u = 0.721176 + 0.745223I
a = −0.306408 − 0.437171I
b = −0.615178 − 0.374615I
−3.19793 − 2.89851I −4.48899 + 2.98394I
u = 0.721176 − 0.745223I
a = −0.306408 + 0.437171I
b = −0.615178 + 0.374615I
−3.19793 + 2.89851I −4.48899 − 2.98394I
u = −0.873383 + 0.842744I
a = 1.33936 − 0.47440I
b = −0.280202 + 1.069330I
0.09981 + 6.03347I −4.14327 − 5.94076I
u = −0.873383 − 0.842744I
a = 1.33936 + 0.47440I
b = −0.280202 − 1.069330I
0.09981 − 6.03347I −4.14327 + 5.94076I
u = −0.733082 + 1.003360I
a = −1.197230 − 0.086134I
b = 0.329880 − 1.155840I
4.10073 + 4.32255I 9.22324 − 6.95697I
u = −0.733082 − 1.003360I
a = −1.197230 + 0.086134I
b = 0.329880 + 1.155840I
4.10073 − 4.32255I 9.22324 + 6.95697I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.513554 + 0.508562I
a = −1.46147 + 0.08500I
b = 1.217480 − 0.203390I
1.57157 − 2.98895I −2.54492 + 10.78858I
u = 0.513554 − 0.508562I
a = −1.46147 − 0.08500I
b = 1.217480 + 0.203390I
1.57157 + 2.98895I −2.54492 − 10.78858I
u = 0.202040 + 0.497945I
a = 1.11503 − 1.20840I
b = −1.59866 + 0.17694I
−0.83707 − 1.49732I 2.82304 + 4.42908I
u = 0.202040 − 0.497945I
a = 1.11503 + 1.20840I
b = −1.59866 − 0.17694I
−0.83707 + 1.49732I 2.82304 − 4.42908I
u = 1.09074 + 0.99503I
a = 0.667540 − 0.161912I
b = −1.188770 − 0.122000I
−5.87774 − 7.28194I −11.41997 + 4.89321I
u = 1.09074 − 0.99503I
a = 0.667540 + 0.161912I
b = −1.188770 + 0.122000I
−5.87774 + 7.28194I −11.41997 − 4.89321I
u = −0.182604 + 0.449273I
a = 2.81934 − 2.52595I
b = 1.46839 + 0.16039I
−11.87780 − 4.74158I −6.58188 + 4.42115I
u = −0.182604 − 0.449273I
a = 2.81934 + 2.52595I
b = 1.46839 − 0.16039I
−11.87780 + 4.74158I −6.58188 − 4.42115I
u = −5.66937
a = 0.174752
b = −5.76445
−3.27992 0
15
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
19
− 15u
18
+ ··· + 6u − 1)(u
58
+ 4u
57
+ ··· + 36890u + 11033)
c
2
(u
19
− 4u
18
+ ··· + 6u − 1)(u
58
− 3u
57
+ ··· + 14u + 29)
c
3
(u
19
+ 2u
18
+ ··· + 26u − 11)(u
58
− u
57
+ ··· + 3040u + 373)
c
4
(u
19
+ 7u
17
+ ··· + 3u + 1)(u
58
− u
57
+ ··· − 79133u + 6037)
c
5
(u
19
+ 6u
18
+ ··· + 10u + 3)(u
58
− u
57
+ ··· + 226u + 299)
c
6
(u
19
+ 4u
18
+ ··· − 2u + 1)(u
58
− u
57
+ ··· − 102u + 17)
c
7
(u
19
+ u
18
+ ··· + 7u − 1)(u
58
− u
56
+ ··· − 77u + 67)
c
8
(u
19
+ 2u
18
+ ··· − 2u − 1)(u
58
− u
57
+ ··· − 318u + 37)
c
9
(u
19
+ 10u
17
+ ··· + 3u − 1)(u
58
− u
57
+ ··· + 597u + 301)
c
10
(u
19
− 6u
18
+ ··· + 10u − 3)(u
58
− u
57
+ ··· + 226u + 299)
c
11
, c
12
(u
19
− u
18
+ ··· + 7u + 1)(u
58
− u
56
+ ··· − 77u + 67)
16
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
19
− 41y
18
+ ··· − 10y −1)
· (y
58
− 70y
57
+ ··· + 4940625850y + 121727089)
c
2
(y
19
+ 12y
17
+ ··· + 46y −1)(y
58
+ 11y
57
+ ··· + 23062y + 841)
c
3
(y
19
− 22y
18
+ ··· + 698y −121)
· (y
58
− 67y
57
+ ··· − 4505246y + 139129)
c
4
(y
19
+ 14y
18
+ ··· + 65y −1)
· (y
58
+ 97y
57
+ ··· − 269971117y + 36445369)
c
5
, c
10
(y
19
− 10y
18
+ ··· − 86y −9)(y
58
+ 77y
57
+ ··· + 6195034y + 89401)
c
6
(y
19
− 34y
18
+ ··· − 8y −1)(y
58
− 7y
57
+ ··· − 11084y + 289)
c
7
, c
11
, c
12
(y
19
+ 11y
18
+ ··· + 21y −1)(y
58
− 2y
57
+ ··· − 22277y + 4489)
c
8
(y
19
+ 8y
18
+ ··· − 14y −1)(y
58
− 13y
57
+ ··· − 27050y + 1369)
c
9
(y
19
+ 20y
18
+ ··· + 25y −1)(y
58
+ 39y
57
+ ··· + 3573447y + 90601)
17
