12a
0237
(K12a
0237
)
A knot diagram
1
Linearized knot diagam
3 6 7 10 2 5 11 12 1 4 9 8
Solving Sequence
2,5
6 3 7
1,10
4 11 8 9 12
c
5
c
2
c
6
c
1
c
4
c
10
c
7
c
9
c
12
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h19u
88
+ 68u
87
+ ··· + 2b − 19, 41u
88
+ 118u
87
+ ··· + 4a − 37, u
89
+ 4u
88
+ ··· − 2u − 1i
I
u
2
= hb, u
2
+ a − u, u
3
− u
2
+ 1i
I
u
3
= hb, −u
2
a + a
2
+ 2au + u
2
− a − 2u + 2, u
3
− u
2
+ 1i
* 3 irreducible components of dim
C
= 0, with total 98 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
= h19u
88
+ 68u
87
+ · · · + 2b − 19, 41u
88
+ 118u
87
+ · · · + 4a − 37, u
89
+
4u
88
+ · · · − 2u − 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
7
=
−u
2
+ 1
u
2
a
1
=
u
3
u
5
− u
3
+ u
a
10
=
−10.2500u
88
− 29.5000u
87
+ ··· + 19.7500u + 9.25000
−
19
2
u
88
− 34u
87
+ ··· +
25
2
u +
19
2
a
4
=
u
7
− 2u
5
+ 2u
3
− 2u
−u
7
+ u
5
− 2u
3
+ u
a
11
=
−
7
4
u
88
−
13
2
u
87
+ ··· +
45
4
u +
15
4
−
11
2
u
88
− 17u
87
+ ··· +
11
2
u +
9
2
a
8
=
−
1
4
u
86
−
3
4
u
85
+ ··· −
9
2
u −
1
4
u
19
− 3u
17
+ ··· + 4u
2
+ u
a
9
=
−4u
88
−
31
4
u
87
+ ··· +
45
4
u +
7
4
−10u
88
−
141
4
u
87
+ ··· +
49
4
u + 10
a
12
=
−2.75000u
88
− 10.2500u
87
+ ··· + 5.50000u + 3.75000
−
3
4
u
88
− 3u
87
+ ··· +
7
4
u +
3
4
(ii) Obstruction class = −1
(iii) Cusp Shapes = −
21
4
u
88
−
3
2
u
87
+ ··· +
3
4
u −
43
2
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
89
+ 30u
88
+ ··· + 22u + 1
c
2
, c
5
u
89
+ 4u
88
+ ··· − 2u − 1
c
3
u
89
− 4u
88
+ ··· + 239908u − 33529
c
4
, c
10
u
89
+ u
88
+ ··· − 512u − 512
c
7
, c
9
u
89
+ 4u
88
+ ··· + 1894u − 1153
c
8
, c
11
, c
12
u
89
− 4u
88
+ ··· + 6u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
89
+ 62y
88
+ ··· + 22y −1
c
2
, c
5
y
89
− 30y
88
+ ··· + 22y −1
c
3
y
89
− 22y
88
+ ··· + 45929667714y −1124193841
c
4
, c
10
y
89
+ 49y
88
+ ··· − 1441792y −262144
c
7
, c
9
y
89
− 62y
88
+ ··· + 27110742y −1329409
c
8
, c
11
, c
12
y
89
+ 74y
88
+ ··· + 30y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.665098 + 0.736201I
a = −2.04567 + 0.09619I
b = 1.031150 − 0.413779I
3.81291 + 4.32866I 0
u = 0.665098 − 0.736201I
a = −2.04567 − 0.09619I
b = 1.031150 + 0.413779I
3.81291 − 4.32866I 0
u = −0.657778 + 0.734759I
a = −0.725421 + 0.405756I
b = 0.402837 − 1.044420I
0.93377 − 2.14563I 0
u = −0.657778 − 0.734759I
a = −0.725421 − 0.405756I
b = 0.402837 + 1.044420I
0.93377 + 2.14563I 0
u = 0.980843 + 0.086293I
a = −0.70129 − 2.02231I
b = 0.291124 − 0.918013I
1.33318 − 3.91642I 0
u = 0.980843 − 0.086293I
a = −0.70129 + 2.02231I
b = 0.291124 + 0.918013I
1.33318 + 3.91642I 0
u = −0.622649 + 0.814057I
a = −0.871261 + 0.985715I
b = 0.515547 − 1.251660I
−0.49843 − 1.88979I 0
u = −0.622649 − 0.814057I
a = −0.871261 − 0.985715I
b = 0.515547 + 1.251660I
−0.49843 + 1.88979I 0
u = −0.768023 + 0.686722I
a = −0.724642 − 0.578489I
b = 0.323205 − 0.806686I
5.23614 + 4.30736I 0
u = −0.768023 − 0.686722I
a = −0.724642 + 0.578489I
b = 0.323205 + 0.806686I
5.23614 − 4.30736I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.03188
a = −0.0355121
b = 1.11414
−5.58476 0
u = 1.034010 + 0.032699I
a = 0.23039 + 1.73297I
b = −0.120130 + 1.118900I
−4.50330 − 1.81687I 0
u = 1.034010 − 0.032699I
a = 0.23039 − 1.73297I
b = −0.120130 − 1.118900I
−4.50330 + 1.81687I 0
u = −1.035150 + 0.037143I
a = 0.0343861 − 0.0464883I
b = −1.122200 + 0.136653I
−1.64597 + 4.03937I 0
u = −1.035150 − 0.037143I
a = 0.0343861 + 0.0464883I
b = −1.122200 − 0.136653I
−1.64597 − 4.03937I 0
u = 0.670295 + 0.692497I
a = 1.99520 + 0.06922I
b = −0.983619 + 0.337300I
−0.556520 + 0.407753I 0
u = 0.670295 − 0.692497I
a = 1.99520 − 0.06922I
b = −0.983619 − 0.337300I
−0.556520 − 0.407753I 0
u = −0.708378 + 0.649385I
a = 0.392593 + 0.131712I
b = −0.289547 + 0.912350I
0.026352 + 1.300830I 0
u = −0.708378 − 0.649385I
a = 0.392593 − 0.131712I
b = −0.289547 − 0.912350I
0.026352 − 1.300830I 0
u = −0.703613 + 0.778044I
a = 1.216460 − 0.392276I
b = −0.559424 + 0.979921I
7.16499 − 3.56308I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.703613 − 0.778044I
a = 1.216460 + 0.392276I
b = −0.559424 − 0.979921I
7.16499 + 3.56308I 0
u = −0.640493 + 0.833726I
a = 1.05340 − 1.04636I
b = −0.603287 + 1.253220I
−3.50348 − 6.24276I 0
u = −0.640493 − 0.833726I
a = 1.05340 + 1.04636I
b = −0.603287 − 1.253220I
−3.50348 + 6.24276I 0
u = −0.653882 + 0.843277I
a = −1.17714 + 1.06230I
b = 0.660390 − 1.239850I
1.16258 − 10.50880I 0
u = −0.653882 − 0.843277I
a = −1.17714 − 1.06230I
b = 0.660390 + 1.239850I
1.16258 + 10.50880I 0
u = 0.698557 + 0.606933I
a = −1.92976 − 0.37749I
b = 0.915231 − 0.247432I
2.82781 − 3.35710I 0
u = 0.698557 − 0.606933I
a = −1.92976 + 0.37749I
b = 0.915231 + 0.247432I
2.82781 + 3.35710I 0
u = −0.898385 + 0.216130I
a = 0.191622 + 0.064917I
b = 0.615325 − 0.618028I
2.07941 + 0.28742I 0
u = −0.898385 − 0.216130I
a = 0.191622 − 0.064917I
b = 0.615325 + 0.618028I
2.07941 − 0.28742I 0
u = 0.814305 + 0.722904I
a = −1.196290 + 0.024448I
b = 0.627639 − 0.337419I
3.08933 − 1.87082I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.814305 − 0.722904I
a = −1.196290 − 0.024448I
b = 0.627639 + 0.337419I
3.08933 + 1.87082I 0
u = 0.778626 + 0.785998I
a = 1.49237 − 0.51937I
b = −0.712326 + 0.642047I
8.26445 − 1.33060I 0
u = 0.778626 − 0.785998I
a = 1.49237 + 0.51937I
b = −0.712326 − 0.642047I
8.26445 + 1.33060I 0
u = 1.108700 + 0.091677I
a = 0.537648 + 1.228530I
b = −0.38014 + 1.38254I
−6.81978 − 1.15961I 0
u = 1.108700 − 0.091677I
a = 0.537648 − 1.228530I
b = −0.38014 − 1.38254I
−6.81978 + 1.15961I 0
u = 1.110290 + 0.116335I
a = −0.669920 − 1.203260I
b = 0.48155 − 1.36931I
−10.06680 − 5.64201I 0
u = 1.110290 − 0.116335I
a = −0.669920 + 1.203260I
b = 0.48155 + 1.36931I
−10.06680 + 5.64201I 0
u = 1.108410 + 0.135230I
a = 0.76874 + 1.19898I
b = −0.55540 + 1.34349I
−5.55538 − 10.02820I 0
u = 1.108410 − 0.135230I
a = 0.76874 − 1.19898I
b = −0.55540 − 1.34349I
−5.55538 + 10.02820I 0
u = −1.030150 + 0.494674I
a = −0.876736 − 0.166610I
b = −0.335632 + 1.344360I
−3.37677 − 3.18871I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.030150 − 0.494674I
a = −0.876736 + 0.166610I
b = −0.335632 − 1.344360I
−3.37677 + 3.18871I 0
u = −0.942079 + 0.666791I
a = 1.47608 − 1.11163I
b = −0.189828 − 0.916225I
4.69575 + 0.92514I 0
u = −0.942079 − 0.666791I
a = 1.47608 + 1.11163I
b = −0.189828 + 0.916225I
4.69575 − 0.92514I 0
u = 0.910609 + 0.709843I
a = 0.648660 + 0.795037I
b = −0.625327 − 0.220194I
2.79557 − 3.60260I 0
u = 0.910609 − 0.709843I
a = 0.648660 − 0.795037I
b = −0.625327 + 0.220194I
2.79557 + 3.60260I 0
u = −1.032420 + 0.521949I
a = 0.998098 + 0.125232I
b = 0.244161 − 1.372840I
−7.60185 + 1.18273I 0
u = −1.032420 − 0.521949I
a = 0.998098 − 0.125232I
b = 0.244161 + 1.372840I
−7.60185 − 1.18273I 0
u = 0.977260 + 0.642109I
a = 1.13887 + 1.21202I
b = −1.107430 − 0.177555I
1.95629 − 1.63466I 0
u = 0.977260 − 0.642109I
a = 1.13887 − 1.21202I
b = −1.107430 + 0.177555I
1.95629 + 1.63466I 0
u = −1.033870 + 0.550633I
a = −1.139480 − 0.068932I
b = −0.139191 + 1.390740I
−4.01536 + 5.61146I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.033870 − 0.550633I
a = −1.139480 + 0.068932I
b = −0.139191 − 1.390740I
−4.01536 − 5.61146I 0
u = −0.977323 + 0.651527I
a = −1.57298 + 0.67143I
b = 0.215794 + 1.090100I
−0.81137 + 3.80562I 0
u = −0.977323 − 0.651527I
a = −1.57298 − 0.67143I
b = 0.215794 − 1.090100I
−0.81137 − 3.80562I 0
u = −0.818100
a = −0.0728908
b = −0.394708
−1.33047 −6.26310
u = 0.863634 + 0.821328I
a = −0.89126 + 1.12068I
b = 0.229454 − 0.915155I
5.01336 − 6.73646I 0
u = 0.863634 − 0.821328I
a = −0.89126 − 1.12068I
b = 0.229454 + 0.915155I
5.01336 + 6.73646I 0
u = 0.991482 + 0.665626I
a = −1.04688 − 1.31650I
b = 1.124220 + 0.305151I
−1.51618 − 5.67493I 0
u = 0.991482 − 0.665626I
a = −1.04688 + 1.31650I
b = 1.124220 − 0.305151I
−1.51618 + 5.67493I 0
u = 0.883931 + 0.808710I
a = 0.629642 − 1.130690I
b = −0.053245 + 0.858605I
0.93988 − 3.01821I 0
u = 0.883931 − 0.808710I
a = 0.629642 + 1.130690I
b = −0.053245 − 0.858605I
0.93988 + 3.01821I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.953916 + 0.743058I
a = −0.432867 − 1.276900I
b = 0.701691 + 0.601056I
7.73056 − 4.43400I 0
u = 0.953916 − 0.743058I
a = −0.432867 + 1.276900I
b = 0.701691 − 0.601056I
7.73056 + 4.43400I 0
u = −1.002630 + 0.678349I
a = 1.92587 − 0.55060I
b = −0.388123 − 1.152830I
−0.09348 + 7.55688I 0
u = −1.002630 − 0.678349I
a = 1.92587 + 0.55060I
b = −0.388123 + 1.152830I
−0.09348 − 7.55688I 0
u = 1.001160 + 0.681562I
a = 0.98743 + 1.40192I
b = −1.139070 − 0.401331I
2.80943 − 9.75712I 0
u = 1.001160 − 0.681562I
a = 0.98743 − 1.40192I
b = −1.139070 + 0.401331I
2.80943 + 9.75712I 0
u = 0.908087 + 0.806141I
a = −0.400070 + 1.283120I
b = −0.142738 − 0.898129I
4.87611 + 0.66838I 0
u = 0.908087 − 0.806141I
a = −0.400070 − 1.283120I
b = −0.142738 + 0.898129I
4.87611 − 0.66838I 0
u = −0.334142 + 0.709466I
a = −0.708885 − 1.004210I
b = 0.235700 + 1.254950I
−2.03228 − 0.98158I −8.15244 + 0.32512I
u = −0.334142 − 0.709466I
a = −0.708885 + 1.004210I
b = 0.235700 − 1.254950I
−2.03228 + 0.98158I −8.15244 − 0.32512I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.994558 + 0.708318I
a = −2.21234 + 0.70707I
b = 0.527032 + 1.043990I
6.28153 + 9.19093I 0
u = −0.994558 − 0.708318I
a = −2.21234 − 0.70707I
b = 0.527032 − 1.043990I
6.28153 − 9.19093I 0
u = −0.280545 + 0.714141I
a = 0.927041 + 1.036670I
b = −0.357240 − 1.246760I
−5.44107 + 3.27728I −11.28302 − 3.52350I
u = −0.280545 − 0.714141I
a = 0.927041 − 1.036670I
b = −0.357240 + 1.246760I
−5.44107 − 3.27728I −11.28302 + 3.52350I
u = −0.240868 + 0.719772I
a = −1.08805 − 1.05758I
b = 0.449716 + 1.235920I
−1.06164 + 7.50684I −6.60333 − 5.97406I
u = −0.240868 − 0.719772I
a = −1.08805 + 1.05758I
b = 0.449716 − 1.235920I
−1.06164 − 7.50684I −6.60333 + 5.97406I
u = −1.038970 + 0.698574I
a = 2.19115 − 0.26374I
b = −0.56143 − 1.31339I
−1.75012 + 7.56949I 0
u = −1.038970 − 0.698574I
a = 2.19115 + 0.26374I
b = −0.56143 + 1.31339I
−1.75012 − 7.56949I 0
u = −1.040700 + 0.712007I
a = −2.31121 + 0.26737I
b = 0.64332 + 1.30166I
−4.71825 + 12.02680I 0
u = −1.040700 − 0.712007I
a = −2.31121 − 0.26737I
b = 0.64332 − 1.30166I
−4.71825 − 12.02680I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.039460 + 0.720956I
a = 2.38842 − 0.28813I
b = −0.69543 − 1.27859I
−0.0131 + 16.3522I 0
u = −1.039460 − 0.720956I
a = 2.38842 + 0.28813I
b = −0.69543 + 1.27859I
−0.0131 − 16.3522I 0
u = −0.073739 + 0.505505I
a = 1.62242 + 0.27322I
b = −0.543638 − 0.715750I
4.54058 + 2.15535I −0.80378 − 3.90881I
u = −0.073739 − 0.505505I
a = 1.62242 − 0.27322I
b = −0.543638 + 0.715750I
4.54058 − 2.15535I −0.80378 + 3.90881I
u = −0.307440 + 0.321395I
a = −0.802437 + 0.240520I
b = 0.145013 + 0.668762I
−0.428923 + 0.936179I −7.41103 − 7.19001I
u = −0.307440 − 0.321395I
a = −0.802437 − 0.240520I
b = 0.145013 − 0.668762I
−0.428923 − 0.936179I −7.41103 + 7.19001I
u = 0.366466 + 0.234966I
a = −2.82452 − 0.22452I
b = 0.616795 + 0.063462I
2.51458 − 3.22716I −0.65676 + 4.62783I
u = 0.366466 − 0.234966I
a = −2.82452 + 0.22452I
b = 0.616795 − 0.063462I
2.51458 + 3.22716I −0.65676 − 4.62783I
u = 0.313100
a = 3.11363
b = −0.504407
−1.49459 −5.36230
13
II. I
u
2
= hb, u
2
+ a − u, u
3
− u
2
+ 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
2
+ u + 1
a
7
=
−u
2
+ 1
u
2
a
1
=
u
2
− 1
−u
2
a
10
=
−u
2
+ u
0
a
4
=
1
0
a
11
=
−u
2
+ u
0
a
8
=
−u
2
u
2
a
9
=
−1
−u
2
+ 1
a
12
=
u
−u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
2
+ 9u − 11
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
8
u
3
− u
2
+ 2u − 1
c
2
, c
7
, c
9
u
3
+ u
2
− 1
c
4
, c
10
u
3
c
5
u
3
− u
2
+ 1
c
6
, c
11
, c
12
u
3
+ u
2
+ 2u + 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
6
c
8
, c
11
, c
12
y
3
+ 3y
2
+ 2y −1
c
2
, c
5
, c
7
c
9
y
3
− y
2
+ 2y −1
c
4
, c
10
y
3
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877439 + 0.744862I
a = 0.662359 − 0.562280I
b = 0
6.04826 − 5.65624I −3.31813 + 5.39661I
u = 0.877439 − 0.744862I
a = 0.662359 + 0.562280I
b = 0
6.04826 + 5.65624I −3.31813 − 5.39661I
u = −0.754878
a = −1.32472
b = 0
−2.22691 −18.3640
17
III. I
u
3
= hb, −u
2
a + a
2
+ 2au + u
2
− a − 2u + 2, u
3
− u
2
+ 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
2
+ u + 1
a
7
=
−u
2
+ 1
u
2
a
1
=
u
2
− 1
−u
2
a
10
=
a
0
a
4
=
1
0
a
11
=
a
0
a
8
=
au − a − u + 2
u
2
a
9
=
−au
−u
2
a + au + a
a
12
=
−u
2
a + au + u
2
+ a − 2u + 1
u
2
a − u
2
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2u
2
a + au − a + 3u − 7
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
8
(u
3
− u
2
+ 2u − 1)
2
c
2
, c
7
, c
9
(u
3
+ u
2
− 1)
2
c
4
, c
10
u
6
c
5
(u
3
− u
2
+ 1)
2
c
6
, c
11
, c
12
(u
3
+ u
2
+ 2u + 1)
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
6
c
8
, c
11
, c
12
(y
3
+ 3y
2
+ 2y −1)
2
c
2
, c
5
, c
7
c
9
(y
3
− y
2
+ 2y −1)
2
c
4
, c
10
y
6
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877439 + 0.744862I
a = −0.447279 − 0.744862I
b = 0
6.04826 −2.00317 + 0.50299I
u = 0.877439 + 0.744862I
a = −0.092519 + 0.562280I
b = 0
1.91067 − 2.82812I −6.28492 + 2.09676I
u = 0.877439 − 0.744862I
a = −0.447279 + 0.744862I
b = 0
6.04826 −2.00317 − 0.50299I
u = 0.877439 − 0.744862I
a = −0.092519 − 0.562280I
b = 0
1.91067 + 2.82812I −6.28492 − 2.09676I
u = −0.754878
a = 1.53980 + 1.30714I
b = 0
1.91067 − 2.82812I −10.21191 − 0.80415I
u = −0.754878
a = 1.53980 − 1.30714I
b = 0
1.91067 + 2.82812I −10.21191 + 0.80415I
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
3
− u
2
+ 2u − 1)
3
)(u
89
+ 30u
88
+ ··· + 22u + 1)
c
2
((u
3
+ u
2
− 1)
3
)(u
89
+ 4u
88
+ ··· − 2u − 1)
c
3
((u
3
− u
2
+ 2u − 1)
3
)(u
89
− 4u
88
+ ··· + 239908u − 33529)
c
4
, c
10
u
9
(u
89
+ u
88
+ ··· − 512u − 512)
c
5
((u
3
− u
2
+ 1)
3
)(u
89
+ 4u
88
+ ··· − 2u − 1)
c
6
((u
3
+ u
2
+ 2u + 1)
3
)(u
89
+ 30u
88
+ ··· + 22u + 1)
c
7
, c
9
((u
3
+ u
2
− 1)
3
)(u
89
+ 4u
88
+ ··· + 1894u − 1153)
c
8
((u
3
− u
2
+ 2u − 1)
3
)(u
89
− 4u
88
+ ··· + 6u − 1)
c
11
, c
12
((u
3
+ u
2
+ 2u + 1)
3
)(u
89
− 4u
88
+ ··· + 6u − 1)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
((y
3
+ 3y
2
+ 2y −1)
3
)(y
89
+ 62y
88
+ ··· + 22y −1)
c
2
, c
5
((y
3
− y
2
+ 2y −1)
3
)(y
89
− 30y
88
+ ··· + 22y −1)
c
3
(y
3
+ 3y
2
+ 2y −1)
3
· (y
89
− 22y
88
+ ··· + 45929667714y −1124193841)
c
4
, c
10
y
9
(y
89
+ 49y
88
+ ··· − 1441792y −262144)
c
7
, c
9
((y
3
− y
2
+ 2y −1)
3
)(y
89
− 62y
88
+ ··· + 2.71107 × 10
7
y −1329409)
c
8
, c
11
, c
12
((y
3
+ 3y
2
+ 2y −1)
3
)(y
89
+ 74y
88
+ ··· + 30y −1)
23
