12a
0249
(K12a
0249
)
A knot diagram
1
Linearized knot diagam
3 6 7 10 9 2 12 11 5 4 1 8
Solving Sequence
7,12
8
1,4
3 2 6 11 9 5 10
c
7
c
12
c
3
c
1
c
6
c
11
c
8
c
5
c
10
c
2
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.50926 × 10
56
u
80
+ 1.29640 × 10
57
u
79
+ ··· + 4.18236 × 10
56
b − 1.29334 × 10
57
,
2.21087 × 10
57
u
80
− 5.78355 × 10
57
u
79
+ ··· + 1.25471 × 10
57
a + 6.67332 × 10
57
, u
81
− 3u
80
+ ··· + 10u − 3i
I
u
2
= h−2a
3
− 3a
2
+ 5b − 10a − 7, a
4
+ 2a
3
+ 7a
2
+ 6a + 3, u − 1i
I
u
3
= hb + a, a
2
− a + 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 87 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−4.51 × 10
56
u
80
+ 1.30 × 10
57
u
79
+ · · · + 4.18 × 10
56
b − 1.29 ×
10
57
, 2.21 × 10
57
u
80
− 5.78 × 10
57
u
79
+ · · · + 1.25 × 10
57
a + 6.67 ×
10
57
, u
81
− 3u
80
+ · · · + 10u − 3i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
−u
2
a
1
=
u
−u
3
+ u
a
4
=
−1.76206u
80
+ 4.60948u
79
+ ··· + 13.6480u − 5.31862
1.07816u
80
− 3.09968u
79
+ ··· − 4.73997u + 3.09235
a
3
=
−0.683900u
80
+ 1.50979u
79
+ ··· + 8.90805u − 2.22626
1.07816u
80
− 3.09968u
79
+ ··· − 4.73997u + 3.09235
a
2
=
−0.759894u
80
+ 1.19450u
79
+ ··· + 5.14103u + 1.04489
1.33087u
80
− 3.53951u
79
+ ··· − 12.1484u + 4.61361
a
6
=
0.488879u
80
− 0.786987u
79
+ ··· − 10.5299u + 3.51618
−0.777576u
80
+ 1.87963u
79
+ ··· + 9.94260u − 4.09065
a
11
=
−u
3
u
5
− u
3
+ u
a
9
=
u
6
− u
4
+ 1
−u
8
+ 2u
6
− 2u
4
a
5
=
1.44849u
80
− 3.72044u
79
+ ··· − 22.9034u + 8.56114
−0.149725u
80
+ 0.318455u
79
+ ··· + 5.31675u − 2.26332
a
10
=
−0.460801u
80
+ 1.25988u
79
+ ··· + 4.96189u + 2.03652
0.269554u
80
− 0.789293u
79
+ ··· − 6.79647u + 1.41492
(ii) Obstruction class = −1
(iii) Cusp Shapes = 3.70974u
80
− 8.50300u
79
+ ··· − 53.6156u + 22.8801
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
81
+ 38u
80
+ ··· + 43u − 9
c
2
, c
6
u
81
− 2u
80
+ ··· + 11u − 3
c
3
u
81
+ 2u
80
+ ··· − 1897u − 1443
c
4
, c
5
, c
9
c
10
u
81
− u
80
+ ··· + 16u − 4
c
7
, c
12
u
81
− 3u
80
+ ··· + 10u − 3
c
8
u
81
− 15u
80
+ ··· − 2304u − 2304
c
11
u
81
− 43u
80
+ ··· + 64u − 9
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
81
+ 14y
80
+ ··· + 6115y −81
c
2
, c
6
y
81
+ 38y
80
+ ··· + 43y −9
c
3
y
81
− 10y
80
+ ··· + 88698091y −2082249
c
4
, c
5
, c
9
c
10
y
81
+ 91y
80
+ ··· − 320y −16
c
7
, c
12
y
81
− 43y
80
+ ··· + 64y −9
c
8
y
81
+ 31y
80
+ ··· + 129466368y −5308416
c
11
y
81
− 3y
80
+ ··· − 116y −81
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.796748 + 0.593974I
a = 0.799663 − 0.367206I
b = 1.062700 + 0.399781I
−4.32097 − 5.87990I 0
u = −0.796748 − 0.593974I
a = 0.799663 + 0.367206I
b = 1.062700 − 0.399781I
−4.32097 + 5.87990I 0
u = 0.261959 + 0.916099I
a = −0.120408 + 0.255723I
b = −1.43910 − 0.79999I
−8.91041 − 10.05080I 0. + 6.04265I
u = 0.261959 − 0.916099I
a = −0.120408 − 0.255723I
b = −1.43910 + 0.79999I
−8.91041 + 10.05080I 0. − 6.04265I
u = 0.792399 + 0.687957I
a = −0.157829 + 0.788105I
b = 1.186470 − 0.176451I
−9.58949 + 2.60972I 0
u = 0.792399 − 0.687957I
a = −0.157829 − 0.788105I
b = 1.186470 + 0.176451I
−9.58949 − 2.60972I 0
u = 0.384053 + 0.849389I
a = −0.023158 + 0.734226I
b = −0.649914 − 0.207937I
−11.25000 − 2.13855I −3.51015 + 0.I
u = 0.384053 − 0.849389I
a = −0.023158 − 0.734226I
b = −0.649914 + 0.207937I
−11.25000 + 2.13855I −3.51015 + 0.I
u = 0.730334 + 0.780884I
a = −0.029790 − 1.009360I
b = −1.145080 − 0.109225I
−13.24960 − 1.33495I 0
u = 0.730334 − 0.780884I
a = −0.029790 + 1.009360I
b = −1.145080 + 0.109225I
−13.24960 + 1.33495I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.985866 + 0.454997I
a = 0.07224 − 1.47855I
b = −0.448117 − 0.062543I
−0.285086 + 1.117670I 0
u = 0.985866 − 0.454997I
a = 0.07224 + 1.47855I
b = −0.448117 + 0.062543I
−0.285086 − 1.117670I 0
u = −0.750762 + 0.487613I
a = −0.279558 + 0.636943I
b = −0.800710 − 0.170169I
−1.53897 − 2.00741I 2.59388 + 4.68854I
u = −0.750762 − 0.487613I
a = −0.279558 − 0.636943I
b = −0.800710 + 0.170169I
−1.53897 + 2.00741I 2.59388 − 4.68854I
u = 0.261751 + 0.852629I
a = −0.114458 − 0.339479I
b = 0.999355 + 0.899928I
−6.55376 − 4.97042I 2.32921 + 2.21243I
u = 0.261751 − 0.852629I
a = −0.114458 + 0.339479I
b = 0.999355 − 0.899928I
−6.55376 + 4.97042I 2.32921 − 2.21243I
u = −0.663280 + 0.559000I
a = 0.512229 − 1.231590I
b = 0.886253 − 0.330986I
−4.60582 + 1.34073I −2.15223 − 0.59245I
u = −0.663280 − 0.559000I
a = 0.512229 + 1.231590I
b = 0.886253 + 0.330986I
−4.60582 − 1.34073I −2.15223 + 0.59245I
u = −1.042180 + 0.456498I
a = 1.14852 − 1.99118I
b = 1.143010 + 0.808091I
−3.31629 − 4.95466I 0
u = −1.042180 − 0.456498I
a = 1.14852 + 1.99118I
b = 1.143010 − 0.808091I
−3.31629 + 4.95466I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.137170 + 0.079899I
a = −0.377449 + 0.256412I
b = 0.459209 − 0.546813I
1.12101 + 1.57171I 0
u = 1.137170 − 0.079899I
a = −0.377449 − 0.256412I
b = 0.459209 + 0.546813I
1.12101 − 1.57171I 0
u = 0.871717 + 0.741478I
a = −0.136021 − 0.555032I
b = −1.299770 + 0.292571I
−12.8356 + 6.9731I 0
u = 0.871717 − 0.741478I
a = −0.136021 + 0.555032I
b = −1.299770 − 0.292571I
−12.8356 − 6.9731I 0
u = −0.241031 + 0.814811I
a = 0.427694 + 0.255486I
b = 1.28959 − 0.81268I
−1.44578 + 7.46970I 2.13977 − 7.53803I
u = −0.241031 − 0.814811I
a = 0.427694 − 0.255486I
b = 1.28959 + 0.81268I
−1.44578 − 7.46970I 2.13977 + 7.53803I
u = −1.092690 + 0.367970I
a = −1.18215 + 1.63995I
b = −0.502377 − 0.884483I
−1.50092 − 0.32300I 0
u = −1.092690 − 0.367970I
a = −1.18215 − 1.63995I
b = −0.502377 + 0.884483I
−1.50092 + 0.32300I 0
u = 1.059850 + 0.475151I
a = −1.46127 − 1.19278I
b = 0.98355 + 1.34616I
−3.49725 + 1.66506I 0
u = 1.059850 − 0.475151I
a = −1.46127 + 1.19278I
b = 0.98355 − 1.34616I
−3.49725 − 1.66506I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.114570 + 0.367085I
a = 1.40300 − 0.98902I
b = −1.00338 + 1.14710I
3.18584 + 0.47349I 0
u = −1.114570 − 0.367085I
a = 1.40300 + 0.98902I
b = −1.00338 − 1.14710I
3.18584 − 0.47349I 0
u = −1.079580 + 0.538100I
a = 0.014477 − 1.406800I
b = 0.435679 + 0.187011I
−1.49474 − 4.97988I 0
u = −1.079580 − 0.538100I
a = 0.014477 + 1.406800I
b = 0.435679 − 0.187011I
−1.49474 + 4.97988I 0
u = −1.133020 + 0.423394I
a = −1.08928 + 1.38321I
b = 0.372683 − 1.290890I
4.43540 − 4.64713I 0
u = −1.133020 − 0.423394I
a = −1.08928 − 1.38321I
b = 0.372683 + 1.290890I
4.43540 + 4.64713I 0
u = 1.107350 + 0.503133I
a = 1.06694 + 1.60238I
b = −0.31789 − 1.48156I
−2.42474 + 7.07010I 0
u = 1.107350 − 0.503133I
a = 1.06694 − 1.60238I
b = −0.31789 + 1.48156I
−2.42474 − 7.07010I 0
u = −0.709019 + 0.330627I
a = 0.73488 − 2.03338I
b = 0.655129 − 0.447564I
−4.74805 + 1.41615I −1.51325 − 0.38964I
u = −0.709019 − 0.330627I
a = 0.73488 + 2.03338I
b = 0.655129 + 0.447564I
−4.74805 − 1.41615I −1.51325 + 0.38964I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.776899 + 0.083863I
a = 0.30115 + 1.53475I
b = −0.401413 − 1.092700I
1.04110 − 2.31172I −0.35449 + 6.19378I
u = −0.776899 − 0.083863I
a = 0.30115 − 1.53475I
b = −0.401413 + 1.092700I
1.04110 + 2.31172I −0.35449 − 6.19378I
u = 1.127760 + 0.463136I
a = 0.67789 + 1.86574I
b = 0.750120 − 0.981832I
4.15856 + 3.15800I 0
u = 1.127760 − 0.463136I
a = 0.67789 − 1.86574I
b = 0.750120 + 0.981832I
4.15856 − 3.15800I 0
u = −0.376784 + 0.677084I
a = 0.261702 + 0.830485I
b = 0.580518 + 0.054748I
−3.52922 + 0.29348I −1.95785 − 1.10416I
u = −0.376784 − 0.677084I
a = 0.261702 − 0.830485I
b = 0.580518 − 0.054748I
−3.52922 − 0.29348I −1.95785 + 1.10416I
u = 1.176320 + 0.345482I
a = 1.17168 + 1.12394I
b = −0.466240 − 1.078130I
4.66964 + 0.93016I 0
u = 1.176320 − 0.345482I
a = 1.17168 − 1.12394I
b = −0.466240 + 1.078130I
4.66964 − 0.93016I 0
u = −0.195107 + 0.743309I
a = −0.146046 − 0.301093I
b = −0.751437 + 0.868185I
0.66207 + 2.61772I 5.49326 − 3.70817I
u = −0.195107 − 0.743309I
a = −0.146046 + 0.301093I
b = −0.751437 − 0.868185I
0.66207 − 2.61772I 5.49326 + 3.70817I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.124630 + 0.513495I
a = −0.51301 − 2.18559I
b = −1.29848 + 0.87661I
2.13927 + 8.13542I 0
u = 1.124630 − 0.513495I
a = −0.51301 + 2.18559I
b = −1.29848 − 0.87661I
2.13927 − 8.13542I 0
u = 0.582369 + 0.482564I
a = −1.052810 + 0.647545I
b = −0.762247 + 0.368757I
−1.47024 + 2.80916I 3.39752 − 5.23952I
u = 0.582369 − 0.482564I
a = −1.052810 − 0.647545I
b = −0.762247 − 0.368757I
−1.47024 − 2.80916I 3.39752 + 5.23952I
u = 1.215240 + 0.294028I
a = −1.44116 − 0.72897I
b = 1.09779 + 0.94810I
3.09913 − 3.92873I 0
u = 1.215240 − 0.294028I
a = −1.44116 + 0.72897I
b = 1.09779 − 0.94810I
3.09913 + 3.92873I 0
u = −1.156380 + 0.521926I
a = −0.40564 + 1.98031I
b = −0.904152 − 1.051560I
3.43804 − 7.35840I 0
u = −1.156380 − 0.521926I
a = −0.40564 − 1.98031I
b = −0.904152 + 1.051560I
3.43804 + 7.35840I 0
u = −1.242610 + 0.276600I
a = −1.37285 + 0.87169I
b = 0.643240 − 0.863021I
−1.73489 + 1.37096I 0
u = −1.242610 − 0.276600I
a = −1.37285 − 0.87169I
b = 0.643240 + 0.863021I
−1.73489 − 1.37096I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.126650 + 0.608937I
a = −0.03883 − 1.45490I
b = −0.487522 + 0.360347I
−9.02484 + 7.52654I 0
u = 1.126650 − 0.608937I
a = −0.03883 + 1.45490I
b = −0.487522 − 0.360347I
−9.02484 − 7.52654I 0
u = −1.281430 + 0.120938I
a = 0.689563 − 0.297958I
b = −0.608778 − 0.197622I
−5.57684 − 0.74021I 0
u = −1.281430 − 0.120938I
a = 0.689563 + 0.297958I
b = −0.608778 + 0.197622I
−5.57684 + 0.74021I 0
u = −1.168810 + 0.553591I
a = 0.17533 − 2.20631I
b = 1.40463 + 0.90541I
1.29584 − 12.53390I 0
u = −1.168810 − 0.553591I
a = 0.17533 + 2.20631I
b = 1.40463 − 0.90541I
1.29584 + 12.53390I 0
u = 0.241156 + 0.647722I
a = −0.982772 + 0.134931I
b = −1.079730 − 0.790170I
−0.36569 − 3.61820I 4.43428 + 1.83605I
u = 0.241156 − 0.647722I
a = −0.982772 − 0.134931I
b = −1.079730 + 0.790170I
−0.36569 + 3.61820I 4.43428 − 1.83605I
u = 1.177720 + 0.571789I
a = 0.19023 + 2.04474I
b = 1.03678 − 1.09944I
−3.81938 + 10.21360I 0
u = 1.177720 − 0.571789I
a = 0.19023 − 2.04474I
b = 1.03678 + 1.09944I
−3.81938 − 10.21360I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.672703
a = 0.594910
b = 0.364438
0.897326 11.7850
u = −1.308700 + 0.269045I
a = 1.56537 − 0.53093I
b = −1.22861 + 0.80896I
−3.73127 + 6.12115I 0
u = −1.308700 − 0.269045I
a = 1.56537 + 0.53093I
b = −1.22861 − 0.80896I
−3.73127 − 6.12115I 0
u = 1.200190 + 0.591386I
a = 0.07576 − 2.17871I
b = −1.49919 + 0.91542I
−6.0747 + 15.5375I 0
u = 1.200190 − 0.591386I
a = 0.07576 + 2.17871I
b = −1.49919 − 0.91542I
−6.0747 − 15.5375I 0
u = 0.239015 + 0.578600I
a = −1.11598 − 0.91670I
b = −0.030929 + 1.252910I
−4.82432 − 2.73548I 2.51992 + 2.65110I
u = 0.239015 − 0.578600I
a = −1.11598 + 0.91670I
b = −0.030929 − 1.252910I
−4.82432 + 2.73548I 2.51992 − 2.65110I
u = 0.050548 + 0.602586I
a = 0.600496 − 0.272362I
b = 0.372734 + 0.903682I
1.29638 + 0.88850I 7.35607 − 3.92879I
u = 0.050548 − 0.602586I
a = 0.600496 + 0.272362I
b = 0.372734 − 0.903682I
1.29638 − 0.88850I 7.35607 + 3.92879I
u = 0.439192 + 0.410436I
a = 0.52086 + 2.20161I
b = 0.583399 − 1.272770I
−5.37037 + 2.23689I 0.95673 − 4.12499I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.439192 − 0.410436I
a = 0.52086 − 2.20161I
b = 0.583399 + 1.272770I
−5.37037 − 2.23689I 0.95673 + 4.12499I
13
II. I
u
2
= h−2a
3
− 3a
2
+ 5b − 10a − 7, a
4
+ 2a
3
+ 7a
2
+ 6a + 3, u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
1
a
8
=
1
−1
a
1
=
1
0
a
4
=
a
2
5
a
3
+
3
5
a
2
+ 2a +
7
5
a
3
=
2
5
a
3
+
3
5
a
2
+ 3a +
7
5
2
5
a
3
+
3
5
a
2
+ 2a +
7
5
a
2
=
1
5
a
3
−
1
5
a
2
+ a +
1
5
2
5
a
3
+
3
5
a
2
+ 2a +
2
5
a
6
=
−a
−
2
5
a
3
−
3
5
a
2
− 2a −
7
5
a
11
=
−1
1
a
9
=
1
−1
a
5
=
2
5
a
3
+
3
5
a
2
+ 2a +
7
5
−
4
5
a
3
−
6
5
a
2
− 5a −
14
5
a
10
=
1
5
a
3
−
1
5
a
2
+ a +
1
5
−
1
5
a
3
+
1
5
a
2
− a +
9
5
(ii) Obstruction class = 1
(iii) Cusp Shapes =
8
5
a
3
+
12
5
a
2
+ 8a +
48
5
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u
2
− u + 1)
2
c
3
, c
6
(u
2
+ u + 1)
2
c
4
, c
5
, c
9
c
10
(u
2
+ 2)
2
c
7
(u − 1)
4
c
8
u
4
c
11
, c
12
(u + 1)
4
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
2
c
4
, c
5
, c
9
c
10
(y + 2)
4
c
7
, c
11
, c
12
(y −1)
4
c
8
y
4
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.500000 + 0.548188I
b = 0.500000 + 0.866025I
−3.28987 − 2.02988I 6.00000 + 3.46410I
u = 1.00000
a = −0.500000 − 0.548188I
b = 0.500000 − 0.866025I
−3.28987 + 2.02988I 6.00000 − 3.46410I
u = 1.00000
a = −0.50000 + 2.28024I
b = 0.500000 − 0.866025I
−3.28987 + 2.02988I 6.00000 − 3.46410I
u = 1.00000
a = −0.50000 − 2.28024I
b = 0.500000 + 0.866025I
−3.28987 − 2.02988I 6.00000 + 3.46410I
17
III. I
u
3
= hb + a, a
2
− a + 1, u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
−1
a
8
=
1
−1
a
1
=
−1
0
a
4
=
a
−a
a
3
=
0
−a
a
2
=
−1
−a + 1
a
6
=
a
−a
a
11
=
1
−1
a
9
=
1
−1
a
5
=
a
−a
a
10
=
1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4a + 10
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
4
, c
5
, c
8
c
9
, c
10
u
2
c
7
, c
11
(u + 1)
2
c
12
(u − 1)
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
y
2
+ y + 1
c
4
, c
5
, c
8
c
9
, c
10
y
2
c
7
, c
11
, c
12
(y −1)
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0.500000 + 0.866025I
b = −0.500000 − 0.866025I
1.64493 − 2.02988I 12.00000 + 3.46410I
u = −1.00000
a = 0.500000 − 0.866025I
b = −0.500000 + 0.866025I
1.64493 + 2.02988I 12.00000 − 3.46410I
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
3
)(u
81
+ 38u
80
+ ··· + 43u − 9)
c
2
((u
2
− u + 1)
2
)(u
2
+ u + 1)(u
81
− 2u
80
+ ··· + 11u − 3)
c
3
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
81
+ 2u
80
+ ··· − 1897u − 1443)
c
4
, c
5
, c
9
c
10
u
2
(u
2
+ 2)
2
(u
81
− u
80
+ ··· + 16u − 4)
c
6
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
81
− 2u
80
+ ··· + 11u − 3)
c
7
((u − 1)
4
)(u + 1)
2
(u
81
− 3u
80
+ ··· + 10u − 3)
c
8
u
6
(u
81
− 15u
80
+ ··· − 2304u − 2304)
c
11
((u + 1)
6
)(u
81
− 43u
80
+ ··· + 64u − 9)
c
12
((u − 1)
2
)(u + 1)
4
(u
81
− 3u
80
+ ··· + 10u − 3)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
3
)(y
81
+ 14y
80
+ ··· + 6115y −81)
c
2
, c
6
((y
2
+ y + 1)
3
)(y
81
+ 38y
80
+ ··· + 43y −9)
c
3
((y
2
+ y + 1)
3
)(y
81
− 10y
80
+ ··· + 8.86981 × 10
7
y −2082249)
c
4
, c
5
, c
9
c
10
y
2
(y + 2)
4
(y
81
+ 91y
80
+ ··· − 320y −16)
c
7
, c
12
((y −1)
6
)(y
81
− 43y
80
+ ··· + 64y −9)
c
8
y
6
(y
81
+ 31y
80
+ ··· + 1.29466 × 10
8
y −5308416)
c
11
((y −1)
6
)(y
81
− 3y
80
+ ··· − 116y −81)
23
