12a
1088
(K12a
1088
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 9 12 2 11 3 5 6 8
Solving Sequence
1,4
2
5,10
11 3 9 6 8 7 12
c
1
c
4
c
10
c
3
c
9
c
5
c
8
c
7
c
12
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.31491 × 10
1036
u
173
+ 1.57790 × 10
1037
u
172
+ ··· + 3.00068 × 10
1038
b + 2.78340 × 10
1039
,
− 1.81611 × 10
1038
u
173
− 1.79120 × 10
1039
u
172
+ ··· + 3.69384 × 10
1041
a − 1.30081 × 10
1043
,
u
174
+ 7u
173
+ ··· + 32468u + 1231i
I
u
2
= h−7.43715 × 10
54
u
47
+ 3.00397 × 10
55
u
46
+ ··· + 1.20510 × 10
53
b − 5.50344 × 10
54
,
4.76026 × 10
54
u
47
− 2.21701 × 10
55
u
46
+ ··· + 1.20510 × 10
53
a − 9.61062 × 10
54
, u
48
− 4u
47
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 222 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
= h2.31 × 10
1036
u
173
+ 1.58 × 10
1037
u
172
+ · · · + 3.00 × 10
1038
b + 2.78 ×
10
1039
, −1.82 × 10
1038
u
173
− 1.79 × 10
1039
u
172
+ · · · + 3.69 × 10
1041
a −
1.30 × 10
1043
, u
174
+ 7u
173
+ · · · + 32468u + 1231i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
5
=
−u
u
a
10
=
0.000491659u
173
+ 0.00484915u
172
+ ··· + 644.740u + 35.2157
−0.00771462u
173
− 0.0525848u
172
+ ··· − 283.377u − 9.27589
a
11
=
−0.00428694u
173
− 0.0237318u
172
+ ··· + 727.574u + 38.6934
−0.00293603u
173
− 0.0240038u
172
+ ··· − 366.211u − 12.7536
a
3
=
0.00331237u
173
+ 0.0263307u
172
+ ··· − 13.6765u − 9.11805
−0.00830572u
173
− 0.0573603u
172
+ ··· − 199.908u − 7.28134
a
9
=
0.000473903u
173
− 0.00172132u
172
+ ··· − 234.484u − 4.16866
−0.00269431u
173
− 0.0157973u
172
+ ··· − 45.6029u − 1.40926
a
6
=
−0.0219404u
173
− 0.151654u
172
+ ··· − 303.429u − 6.94477
0.0114226u
173
+ 0.0765005u
172
+ ··· − 28.4166u − 3.12707
a
8
=
−0.0118555u
173
− 0.0795581u
172
+ ··· + 449.141u + 33.2239
0.00484708u
173
+ 0.0315881u
172
+ ··· + 109.574u + 4.82128
a
7
=
−0.0133040u
173
− 0.0899921u
172
+ ··· + 242.794u + 24.1803
0.00536885u
173
+ 0.0348291u
172
+ ··· + 120.908u + 5.18340
a
12
=
−0.0231211u
173
− 0.148324u
172
+ ··· + 623.503u + 40.0407
0.00823559u
173
+ 0.0513008u
172
+ ··· − 209.974u − 9.11274
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.00680530u
173
+ 0.0466019u
172
+ ··· + 155.904u + 9.18362
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
174
− 7u
173
+ ··· − 32468u + 1231
c
2
, c
7
9(9u
174
+ 21u
173
+ ··· + 57344u + 284672)
c
3
, c
9
9(9u
174
+ 21u
173
+ ··· + 5.26430 × 10
7
u + 7135679)
c
5
u
174
+ 7u
173
+ ··· − 115375851u + 8331579
c
6
, c
11
u
174
+ 8u
173
+ ··· + 103307u + 4271
c
8
81(81u
174
+ 1989u
173
+ ··· + 432u + 32)
c
10
u
174
− 14u
172
+ ··· + 207068871u + 14948811
c
12
u
174
− 3u
173
+ ··· + 502185u + 36513
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
174
+ 85y
173
+ ··· + 414366y + 1515361
c
2
, c
7
81(81y
174
+ 7083y
173
+ ··· + 4.33429 × 10
12
y + 8.10381 × 10
10
)
c
3
, c
9
81
· (81y
174
− 9279y
173
+ ··· − 2842222453168320y + 50917914791041)
c
5
y
174
+ 29y
173
+ ··· + 23467085991243y + 69415208633241
c
6
, c
11
y
174
− 122y
173
+ ··· + 2710884961y + 18241441
c
8
6561(6561y
174
− 480573y
173
+ ··· − 84736y + 1024)
c
10
y
174
− 28y
173
+ ··· − 12744162723038499y + 223466950313721
c
12
y
174
− 13y
173
+ ··· + 591008001867y + 1333199169
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.013817 + 1.000970I
a = −0.877606 + 0.723543I
b = 0.975979 − 0.832856I
3.55650 − 4.85750I 0
u = 0.013817 − 1.000970I
a = −0.877606 − 0.723543I
b = 0.975979 + 0.832856I
3.55650 + 4.85750I 0
u = −0.336662 + 0.936143I
a = 0.622357 + 0.926294I
b = −2.14550 − 2.04462I
−5.69350 + 2.20256I 0
u = −0.336662 − 0.936143I
a = 0.622357 − 0.926294I
b = −2.14550 + 2.04462I
−5.69350 − 2.20256I 0
u = 0.492686 + 0.861147I
a = 0.70963 − 2.34362I
b = −0.76003 + 1.86058I
1.69785 − 2.03628I 0
u = 0.492686 − 0.861147I
a = 0.70963 + 2.34362I
b = −0.76003 − 1.86058I
1.69785 + 2.03628I 0
u = 0.447668 + 0.885202I
a = −1.16858 + 1.26192I
b = 1.79422 − 1.04409I
1.75392 − 1.84767I 0
u = 0.447668 − 0.885202I
a = −1.16858 − 1.26192I
b = 1.79422 + 1.04409I
1.75392 + 1.84767I 0
u = 0.328880 + 0.961073I
a = 0.605411 − 0.853636I
b = −2.18230 − 0.61609I
5.11610 − 3.70241I 0
u = 0.328880 − 0.961073I
a = 0.605411 + 0.853636I
b = −2.18230 + 0.61609I
5.11610 + 3.70241I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.955094 + 0.233275I
a = 1.128060 − 0.703433I
b = −0.133729 − 0.261612I
0.25760 + 8.11693I 0
u = 0.955094 − 0.233275I
a = 1.128060 + 0.703433I
b = −0.133729 + 0.261612I
0.25760 − 8.11693I 0
u = 0.406624 + 0.895025I
a = −1.17116 − 0.81104I
b = 1.64239 + 0.37068I
0.87176 − 1.68280I 0
u = 0.406624 − 0.895025I
a = −1.17116 + 0.81104I
b = 1.64239 − 0.37068I
0.87176 + 1.68280I 0
u = −0.738781 + 0.646428I
a = −1.092200 − 0.648075I
b = 0.390019 − 0.380217I
−2.65819 + 6.17258I 0
u = −0.738781 − 0.646428I
a = −1.092200 + 0.648075I
b = 0.390019 + 0.380217I
−2.65819 − 6.17258I 0
u = −0.810447 + 0.546598I
a = −0.69029 − 1.24742I
b = 0.325194 + 0.260356I
−2.12549 − 5.85975I 0
u = −0.810447 − 0.546598I
a = −0.69029 + 1.24742I
b = 0.325194 − 0.260356I
−2.12549 + 5.85975I 0
u = 0.989956 + 0.256267I
a = 0.335141 + 0.634105I
b = −0.851772 + 0.310586I
−3.87929 + 2.56681I 0
u = 0.989956 − 0.256267I
a = 0.335141 − 0.634105I
b = −0.851772 − 0.310586I
−3.87929 − 2.56681I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.367132 + 0.900403I
a = 0.61697 + 1.73830I
b = −0.264114 − 0.508114I
−4.50987 + 7.17407I 0
u = −0.367132 − 0.900403I
a = 0.61697 − 1.73830I
b = −0.264114 + 0.508114I
−4.50987 − 7.17407I 0
u = 0.262500 + 0.935913I
a = 1.49603 + 0.64421I
b = −1.97415 − 0.00163I
5.75794 − 1.09159I 0
u = 0.262500 − 0.935913I
a = 1.49603 − 0.64421I
b = −1.97415 + 0.00163I
5.75794 + 1.09159I 0
u = −0.126802 + 1.027500I
a = 0.675385 − 0.178192I
b = −1.75138 + 0.44719I
7.82395 − 2.11414I 0
u = −0.126802 − 1.027500I
a = 0.675385 + 0.178192I
b = −1.75138 − 0.44719I
7.82395 + 2.11414I 0
u = −0.509013 + 0.905109I
a = −0.46648 − 1.41180I
b = −0.082766 + 0.207097I
−6.89574 + 2.99126I 0
u = −0.509013 − 0.905109I
a = −0.46648 + 1.41180I
b = −0.082766 − 0.207097I
−6.89574 − 2.99126I 0
u = −0.341745 + 1.011510I
a = 0.515404 − 0.603459I
b = −1.65693 + 0.02938I
1.63734 + 3.57373I 0
u = −0.341745 − 1.011510I
a = 0.515404 + 0.603459I
b = −1.65693 − 0.02938I
1.63734 − 3.57373I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.018349 + 1.068000I
a = −0.782065 + 0.845005I
b = 1.60889 − 0.09679I
3.61687 − 0.87679I 0
u = −0.018349 − 1.068000I
a = −0.782065 − 0.845005I
b = 1.60889 + 0.09679I
3.61687 + 0.87679I 0
u = −0.034695 + 0.930488I
a = 0.609160 − 0.457460I
b = −0.549427 + 0.074020I
0.302643 − 1.311420I 0
u = −0.034695 − 0.930488I
a = 0.609160 + 0.457460I
b = −0.549427 − 0.074020I
0.302643 + 1.311420I 0
u = −0.468510 + 0.965808I
a = −0.869272 − 0.965671I
b = 2.12048 + 1.46860I
−4.81659 + 8.16496I 0
u = −0.468510 − 0.965808I
a = −0.869272 + 0.965671I
b = 2.12048 − 1.46860I
−4.81659 − 8.16496I 0
u = −0.736645 + 0.781648I
a = −0.585159 − 0.321552I
b = 1.65919 − 0.14897I
4.91026 + 6.47248I 0
u = −0.736645 − 0.781648I
a = −0.585159 + 0.321552I
b = 1.65919 + 0.14897I
4.91026 − 6.47248I 0
u = −0.203162 + 1.055200I
a = −0.806942 + 0.076929I
b = 1.183680 + 0.693983I
4.47782 + 1.33772I 0
u = −0.203162 − 1.055200I
a = −0.806942 − 0.076929I
b = 1.183680 − 0.693983I
4.47782 − 1.33772I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.924814 + 0.024551I
a = −1.193050 + 0.269217I
b = 0.012081 + 0.319575I
−3.84091 + 3.33408I 0
u = 0.924814 − 0.024551I
a = −1.193050 − 0.269217I
b = 0.012081 − 0.319575I
−3.84091 − 3.33408I 0
u = 0.808933 + 0.447590I
a = 0.429964 + 0.040440I
b = 0.223394 − 0.375440I
−1.15778 − 2.33744I 0
u = 0.808933 − 0.447590I
a = 0.429964 − 0.040440I
b = 0.223394 + 0.375440I
−1.15778 + 2.33744I 0
u = −0.549757 + 0.740052I
a = 1.156340 + 0.735961I
b = −1.64031 − 1.43048I
−7.39558 + 1.27552I 0
u = −0.549757 − 0.740052I
a = 1.156340 − 0.735961I
b = −1.64031 + 1.43048I
−7.39558 − 1.27552I 0
u = 0.916100 + 0.038866I
a = 1.203700 − 0.039545I
b = −0.230480 + 0.010630I
−2.28017 − 0.00358I 0
u = 0.916100 − 0.038866I
a = 1.203700 + 0.039545I
b = −0.230480 − 0.010630I
−2.28017 + 0.00358I 0
u = −0.430201 + 0.805694I
a = −0.96655 − 1.20339I
b = 1.33735 + 1.69205I
−4.76385 − 3.81670I 0
u = −0.430201 − 0.805694I
a = −0.96655 + 1.20339I
b = 1.33735 − 1.69205I
−4.76385 + 3.81670I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.012724 + 1.089340I
a = −0.740074 + 0.570838I
b = 1.62952 − 0.11042I
3.42230 − 0.78350I 0
u = −0.012724 − 1.089340I
a = −0.740074 − 0.570838I
b = 1.62952 + 0.11042I
3.42230 + 0.78350I 0
u = 0.276649 + 0.848111I
a = −0.334593 + 0.819992I
b = 2.41948 − 0.29452I
4.63210 + 1.11022I 0
u = 0.276649 − 0.848111I
a = −0.334593 − 0.819992I
b = 2.41948 + 0.29452I
4.63210 − 1.11022I 0
u = 0.862802 + 0.197630I
a = −0.498749 − 0.983193I
b = 1.116060 − 0.106562I
0.50657 + 8.30498I 0
u = 0.862802 − 0.197630I
a = −0.498749 + 0.983193I
b = 1.116060 + 0.106562I
0.50657 − 8.30498I 0
u = −1.099610 + 0.200124I
a = 1.070300 + 0.416814I
b = −0.422987 − 0.219527I
−5.66272 − 3.90507I 0
u = −1.099610 − 0.200124I
a = 1.070300 − 0.416814I
b = −0.422987 + 0.219527I
−5.66272 + 3.90507I 0
u = −0.365063 + 0.800310I
a = −0.45143 − 1.53794I
b = 0.112373 − 0.608033I
−6.12075 + 0.81254I 0
u = −0.365063 − 0.800310I
a = −0.45143 + 1.53794I
b = 0.112373 + 0.608033I
−6.12075 − 0.81254I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.106990 + 0.270307I
a = 0.479434 − 0.566277I
b = 0.300216 − 0.217688I
−0.41197 − 2.54153I 0
u = 1.106990 − 0.270307I
a = 0.479434 + 0.566277I
b = 0.300216 + 0.217688I
−0.41197 + 2.54153I 0
u = −0.802756 + 0.818527I
a = 0.381070 + 0.989267I
b = 0.375686 + 0.299377I
0.343900 + 0.003740I 0
u = −0.802756 − 0.818527I
a = 0.381070 − 0.989267I
b = 0.375686 − 0.299377I
0.343900 − 0.003740I 0
u = −0.448252 + 1.057250I
a = −0.753830 + 0.535282I
b = 1.79507 − 0.07646I
6.47757 + 7.74757I 0
u = −0.448252 − 1.057250I
a = −0.753830 − 0.535282I
b = 1.79507 + 0.07646I
6.47757 − 7.74757I 0
u = −0.528288 + 0.667390I
a = 0.82653 + 1.63332I
b = −0.364968 + 0.049818I
−5.74474 − 4.12306I 0
u = −0.528288 − 0.667390I
a = 0.82653 − 1.63332I
b = −0.364968 − 0.049818I
−5.74474 + 4.12306I 0
u = 1.095800 + 0.346908I
a = −0.873237 − 0.006627I
b = 0.047350 + 0.197104I
−2.51801 − 1.53360I 0
u = 1.095800 − 0.346908I
a = −0.873237 + 0.006627I
b = 0.047350 − 0.197104I
−2.51801 + 1.53360I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.770969 + 0.329721I
a = −1.237760 + 0.289483I
b = 1.74374 + 1.07427I
−0.85433 + 6.97516I 0
u = −0.770969 − 0.329721I
a = −1.237760 − 0.289483I
b = 1.74374 − 1.07427I
−0.85433 − 6.97516I 0
u = −0.718866 + 0.913664I
a = 0.331140 + 0.669358I
b = −1.30314 − 0.85182I
−1.88752 − 0.62930I 0
u = −0.718866 − 0.913664I
a = 0.331140 − 0.669358I
b = −1.30314 + 0.85182I
−1.88752 + 0.62930I 0
u = −0.046077 + 1.174130I
a = 1.152090 − 0.536877I
b = −1.75302 − 0.09210I
4.93357 − 0.97754I 0
u = −0.046077 − 1.174130I
a = 1.152090 + 0.536877I
b = −1.75302 + 0.09210I
4.93357 + 0.97754I 0
u = −0.556358 + 1.056990I
a = 0.490430 + 0.548064I
b = −1.40325 + 0.25892I
5.99085 − 1.39243I 0
u = −0.556358 − 1.056990I
a = 0.490430 − 0.548064I
b = −1.40325 − 0.25892I
5.99085 + 1.39243I 0
u = −0.146238 + 1.217970I
a = 0.161544 − 0.573504I
b = −0.84837 + 1.58485I
6.22366 + 1.06281I 0
u = −0.146238 − 1.217970I
a = 0.161544 + 0.573504I
b = −0.84837 − 1.58485I
6.22366 − 1.06281I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.141950 + 0.455869I
a = 0.636606 + 0.443874I
b = −1.038490 + 0.602555I
−3.50732 + 2.35533I 0
u = −1.141950 − 0.455869I
a = 0.636606 − 0.443874I
b = −1.038490 − 0.602555I
−3.50732 − 2.35533I 0
u = −0.679889 + 1.029310I
a = −0.426804 − 0.748271I
b = 1.25418 + 0.81305I
−3.01224 + 1.18443I 0
u = −0.679889 − 1.029310I
a = −0.426804 + 0.748271I
b = 1.25418 − 0.81305I
−3.01224 − 1.18443I 0
u = −0.487060 + 1.148750I
a = 0.636212 + 0.744323I
b = −1.84745 + 0.44347I
2.44439 + 10.88210I 0
u = −0.487060 − 1.148750I
a = 0.636212 − 0.744323I
b = −1.84745 − 0.44347I
2.44439 − 10.88210I 0
u = −0.592694 + 1.103180I
a = −0.971240 − 0.752201I
b = 1.83398 + 1.02098I
−3.15555 + 8.67271I 0
u = −0.592694 − 1.103180I
a = −0.971240 + 0.752201I
b = 1.83398 − 1.02098I
−3.15555 − 8.67271I 0
u = −0.653663 + 1.068910I
a = 1.130960 + 0.579991I
b = −2.02558 − 0.71803I
−0.54286 + 11.35800I 0
u = −0.653663 − 1.068910I
a = 1.130960 − 0.579991I
b = −2.02558 + 0.71803I
−0.54286 − 11.35800I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.670294 + 1.061820I
a = 0.781285 − 0.405625I
b = −1.268560 + 0.535719I
−1.10245 − 3.11342I 0
u = 0.670294 − 1.061820I
a = 0.781285 + 0.405625I
b = −1.268560 − 0.535719I
−1.10245 + 3.11342I 0
u = −0.423419 + 1.182910I
a = 0.915230 + 0.860545I
b = −1.60590 − 1.41215I
1.68819 + 8.80919I 0
u = −0.423419 − 1.182910I
a = 0.915230 − 0.860545I
b = −1.60590 + 1.41215I
1.68819 − 8.80919I 0
u = 0.589374 + 1.110550I
a = 0.278014 + 0.432997I
b = −0.509822 + 0.106003I
−0.39456 − 3.63231I 0
u = 0.589374 − 1.110550I
a = 0.278014 − 0.432997I
b = −0.509822 − 0.106003I
−0.39456 + 3.63231I 0
u = 1.183570 + 0.455663I
a = 0.451265 − 0.010563I
b = −0.699679 − 0.282531I
−2.76313 − 2.33214I 0
u = 1.183570 − 0.455663I
a = 0.451265 + 0.010563I
b = −0.699679 + 0.282531I
−2.76313 + 2.33214I 0
u = −1.195980 + 0.441311I
a = 0.746997 + 0.776504I
b = −0.099857 + 0.185143I
−2.5274 − 13.9507I 0
u = −1.195980 − 0.441311I
a = 0.746997 − 0.776504I
b = −0.099857 − 0.185143I
−2.5274 + 13.9507I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.024790 + 0.714733I
a = −0.93542 − 1.68489I
b = 1.77448 + 0.16650I
1.47319 + 4.44377I 0
u = 0.024790 − 0.714733I
a = −0.93542 + 1.68489I
b = 1.77448 − 0.16650I
1.47319 − 4.44377I 0
u = 0.762863 + 1.042360I
a = −0.763808 + 0.135936I
b = 1.28863 − 0.83061I
1.89947 − 4.69191I 0
u = 0.762863 − 1.042360I
a = −0.763808 − 0.135936I
b = 1.28863 + 0.83061I
1.89947 + 4.69191I 0
u = −0.553382 + 1.177720I
a = −0.535907 − 0.660632I
b = 1.88146 − 0.03878I
−0.65670 + 3.53578I 0
u = −0.553382 − 1.177720I
a = −0.535907 + 0.660632I
b = 1.88146 + 0.03878I
−0.65670 − 3.53578I 0
u = −0.600589 + 0.334678I
a = 1.54532 + 1.41028I
b = −0.323623 − 0.247652I
−5.29796 − 3.74049I 0
u = −0.600589 − 0.334678I
a = 1.54532 − 1.41028I
b = −0.323623 + 0.247652I
−5.29796 + 3.74049I 0
u = 0.331079 + 1.270820I
a = −0.862064 + 0.260620I
b = 1.39447 − 0.87834I
4.32037 − 5.72260I 0
u = 0.331079 − 1.270820I
a = −0.862064 − 0.260620I
b = 1.39447 + 0.87834I
4.32037 + 5.72260I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.568689 + 1.191310I
a = −0.819006 − 0.672921I
b = 1.68863 + 0.11182I
3.41471 − 13.53380I 0
u = 0.568689 − 1.191310I
a = −0.819006 + 0.672921I
b = 1.68863 − 0.11182I
3.41471 + 13.53380I 0
u = 0.532788 + 1.215310I
a = 0.702350 − 0.602925I
b = −1.85818 + 1.31743I
−0.42530 − 8.38788I 0
u = 0.532788 − 1.215310I
a = 0.702350 + 0.602925I
b = −1.85818 − 1.31743I
−0.42530 + 8.38788I 0
u = −1.222390 + 0.532670I
a = −0.660519 − 0.708234I
b = 0.110637 − 0.374807I
−6.81067 − 7.27123I 0
u = −1.222390 − 0.532670I
a = −0.660519 + 0.708234I
b = 0.110637 + 0.374807I
−6.81067 + 7.27123I 0
u = 0.611450 + 1.186600I
a = 0.652085 + 0.507430I
b = −1.55187 + 0.01049I
−1.09609 − 8.23470I 0
u = 0.611450 − 1.186600I
a = 0.652085 − 0.507430I
b = −1.55187 − 0.01049I
−1.09609 + 8.23470I 0
u = 0.189687 + 1.329370I
a = −0.442990 + 0.626160I
b = 1.29568 − 1.02096I
2.31630 − 3.88848I 0
u = 0.189687 − 1.329370I
a = −0.442990 − 0.626160I
b = 1.29568 + 1.02096I
2.31630 + 3.88848I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.289883 + 1.317400I
a = 0.666362 − 0.524633I
b = −1.53012 − 0.19912I
5.36635 + 4.17200I 0
u = 0.289883 − 1.317400I
a = 0.666362 + 0.524633I
b = −1.53012 + 0.19912I
5.36635 − 4.17200I 0
u = 0.334377 + 1.306940I
a = 0.011036 − 0.480647I
b = 0.620928 + 0.768982I
0.95349 − 1.43422I 0
u = 0.334377 − 1.306940I
a = 0.011036 + 0.480647I
b = 0.620928 − 0.768982I
0.95349 + 1.43422I 0
u = 0.600155 + 1.210060I
a = −0.828161 + 0.647374I
b = 1.99737 − 1.18521I
3.19168 − 13.70870I 0
u = 0.600155 − 1.210060I
a = −0.828161 − 0.647374I
b = 1.99737 + 1.18521I
3.19168 + 13.70870I 0
u = 0.611151 + 1.241970I
a = −0.610138 + 0.594070I
b = 1.23057 − 0.89917I
1.21496 − 5.62268I 0
u = 0.611151 − 1.241970I
a = −0.610138 − 0.594070I
b = 1.23057 + 0.89917I
1.21496 + 5.62268I 0
u = 0.763724 + 1.159790I
a = 0.273029 − 0.397530I
b = −0.914581 + 0.740763I
−0.13958 − 5.03749I 0
u = 0.763724 − 1.159790I
a = 0.273029 + 0.397530I
b = −0.914581 − 0.740763I
−0.13958 + 5.03749I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.769281 + 1.157060I
a = −0.080311 − 0.640041I
b = 1.322790 + 0.093237I
2.08566 − 1.98401I 0
u = 0.769281 − 1.157060I
a = −0.080311 + 0.640041I
b = 1.322790 − 0.093237I
2.08566 + 1.98401I 0
u = 1.32898 + 0.51078I
a = −0.550872 + 0.209588I
b = 0.169795 − 0.208671I
−3.03200 − 3.48105I 0
u = 1.32898 − 0.51078I
a = −0.550872 − 0.209588I
b = 0.169795 + 0.208671I
−3.03200 + 3.48105I 0
u = −0.170664 + 0.542787I
a = −0.22802 − 2.84190I
b = −0.157799 + 0.465396I
−0.95086 − 5.88563I 0. − 4.85169I
u = −0.170664 − 0.542787I
a = −0.22802 + 2.84190I
b = −0.157799 − 0.465396I
−0.95086 + 5.88563I 0. + 4.85169I
u = −0.035648 + 0.560359I
a = 0.35430 + 1.38809I
b = −3.10184 + 0.01966I
−4.39180 − 0.37220I 0. − 2.93367I
u = −0.035648 − 0.560359I
a = 0.35430 − 1.38809I
b = −3.10184 − 0.01966I
−4.39180 + 0.37220I 0. + 2.93367I
u = −0.88386 + 1.13534I
a = −0.750609 − 0.322836I
b = 2.03908 + 1.15033I
0.94177 + 6.59500I 0
u = −0.88386 − 1.13534I
a = −0.750609 + 0.322836I
b = 2.03908 − 1.15033I
0.94177 − 6.59500I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23627 + 1.42205I
a = 0.078341 + 0.625843I
b = −0.454089 − 0.989680I
5.79784 + 3.69967I 0
u = 0.23627 − 1.42205I
a = 0.078341 − 0.625843I
b = −0.454089 + 0.989680I
5.79784 − 3.69967I 0
u = −0.85566 + 1.16090I
a = 0.693358 + 0.527928I
b = −1.305870 − 0.507912I
−3.23339 + 6.95414I 0
u = −0.85566 − 1.16090I
a = 0.693358 − 0.527928I
b = −1.305870 + 0.507912I
−3.23339 − 6.95414I 0
u = −0.22273 + 1.43028I
a = −0.433768 + 0.665635I
b = 1.54989 + 0.00015I
3.29465 − 1.47827I 0
u = −0.22273 − 1.43028I
a = −0.433768 − 0.665635I
b = 1.54989 − 0.00015I
3.29465 + 1.47827I 0
u = −0.490288 + 0.237921I
a = −0.40711 + 1.37691I
b = 0.476410 + 0.191070I
4.32415 − 3.95433I 5.14455 + 3.81317I
u = −0.490288 − 0.237921I
a = −0.40711 − 1.37691I
b = 0.476410 − 0.191070I
4.32415 + 3.95433I 5.14455 − 3.81317I
u = −0.73449 + 1.25701I
a = −0.900599 − 0.549465I
b = 2.02119 + 1.02006I
0.1025 + 20.7741I 0
u = −0.73449 − 1.25701I
a = −0.900599 + 0.549465I
b = 2.02119 − 1.02006I
0.1025 − 20.7741I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.75846 + 1.24692I
a = 0.819122 + 0.526837I
b = −2.03325 − 1.00282I
−4.4125 + 14.2814I 0
u = −0.75846 − 1.24692I
a = 0.819122 − 0.526837I
b = −2.03325 + 1.00282I
−4.4125 − 14.2814I 0
u = −1.24399 + 0.77812I
a = −0.556076 − 0.515195I
b = 0.423537 + 0.191599I
−4.65337 + 0.52341I 0
u = −1.24399 − 0.77812I
a = −0.556076 + 0.515195I
b = 0.423537 − 0.191599I
−4.65337 − 0.52341I 0
u = −0.389016 + 0.357587I
a = 2.18449 + 1.46116I
b = −0.528021 + 0.344010I
−5.09298 + 3.86575I −7.02785 + 3.98900I
u = −0.389016 − 0.357587I
a = 2.18449 − 1.46116I
b = −0.528021 − 0.344010I
−5.09298 − 3.86575I −7.02785 − 3.98900I
u = 0.42456 + 1.40989I
a = 0.803659 − 0.565846I
b = −1.46528 + 1.05181I
3.07659 − 6.72028I 0
u = 0.42456 − 1.40989I
a = 0.803659 + 0.565846I
b = −1.46528 − 1.05181I
3.07659 + 6.72028I 0
u = 0.41592 + 1.43222I
a = 0.128211 + 0.313027I
b = −0.496253 − 0.951501I
5.02935 − 7.75653I 0
u = 0.41592 − 1.43222I
a = 0.128211 − 0.313027I
b = −0.496253 + 0.951501I
5.02935 + 7.75653I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.69744 + 1.33683I
a = −0.686338 − 0.722786I
b = 1.22406 + 0.92608I
−2.07218 + 10.45970I 0
u = −0.69744 − 1.33683I
a = −0.686338 + 0.722786I
b = 1.22406 − 0.92608I
−2.07218 − 10.45970I 0
u = −0.200283 + 0.395755I
a = −0.16870 − 1.51310I
b = 2.95156 + 0.13955I
−0.31450 − 7.14678I −4.49203 − 2.10558I
u = −0.200283 − 0.395755I
a = −0.16870 + 1.51310I
b = 2.95156 − 0.13955I
−0.31450 + 7.14678I −4.49203 + 2.10558I
u = 0.59921 + 1.45206I
a = −0.653395 + 0.346444I
b = 1.64668 − 0.86803I
3.17261 − 4.22099I 0
u = 0.59921 − 1.45206I
a = −0.653395 − 0.346444I
b = 1.64668 + 0.86803I
3.17261 + 4.22099I 0
u = 0.04516 + 1.62819I
a = 0.355744 − 0.483182I
b = −0.898681 + 0.795282I
5.60191 − 9.19561I 0
u = 0.04516 − 1.62819I
a = 0.355744 + 0.483182I
b = −0.898681 − 0.795282I
5.60191 + 9.19561I 0
u = 0.330110 + 0.104153I
a = 0.04887 − 2.60150I
b = −0.259689 + 0.917401I
1.077580 − 0.261089I 4.62633 − 0.35337I
u = 0.330110 − 0.104153I
a = 0.04887 + 2.60150I
b = −0.259689 − 0.917401I
1.077580 + 0.261089I 4.62633 + 0.35337I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.117236 + 0.267047I
a = 1.25828 − 1.12794I
b = −0.152184 − 0.364471I
0.073015 − 1.045710I 1.31066 + 6.08485I
u = −0.117236 − 0.267047I
a = 1.25828 + 1.12794I
b = −0.152184 + 0.364471I
0.073015 + 1.045710I 1.31066 − 6.08485I
u = −0.0847749 + 0.0636642I
a = 5.09053 + 5.56696I
b = 0.603592 + 0.019819I
2.21026 + 0.01481I 4.68494 + 0.68731I
u = −0.0847749 − 0.0636642I
a = 5.09053 − 5.56696I
b = 0.603592 − 0.019819I
2.21026 − 0.01481I 4.68494 − 0.68731I
22
II.
I
u
2
= h−7.44×10
54
u
47
+3.00×10
55
u
46
+· · ·+1.21×10
53
b−5.50×10
54
, 4.76×
10
54
u
47
−2.22×10
55
u
46
+· · ·+1.21×10
53
a−9.61×10
54
, u
48
−4u
47
+· · ·+3u+1i
(i) Arc colorings
a
1
=
1
0
a
4
=
0
u
a
2
=
1
u
2
a
5
=
−u
u
a
10
=
−39.5010u
47
+ 183.969u
46
+ ··· + 47.7087u + 79.7496
61.7141u
47
− 249.272u
46
+ ··· + 340.917u + 45.6680
a
11
=
−30.1853u
47
+ 150.609u
46
+ ··· + 140.571u + 103.299
52.3984u
47
− 215.911u
46
+ ··· + 248.055u + 22.1184
a
3
=
33.3626u
47
− 167.692u
46
+ ··· − 145.410u − 113.501
12.7121u
47
− 37.2179u
46
+ ··· + 171.457u + 59.4091
a
9
=
39.5152u
47
− 164.422u
46
+ ··· + 73.6186u − 11.7077
36.1946u
47
− 153.725u
46
+ ··· + 148.087u + 0.974418
a
6
=
−137.333u
47
+ 544.394u
46
+ ··· − 738.090u − 90.5797
68.5653u
47
− 260.535u
46
+ ··· + 501.392u + 105.289
a
8
=
76.0061u
47
− 300.609u
46
+ ··· + 338.470u + 52.5437
−33.9909u
47
+ 144.635u
46
+ ··· − 90.7103u + 15.7144
a
7
=
85.4533u
47
− 343.849u
46
+ ··· + 342.927u + 33.4136
−34.6122u
47
+ 148.249u
46
+ ··· − 83.8039u + 21.1657
a
12
=
148.793u
47
− 560.655u
46
+ ··· + 1022.34u + 205.796
−56.4142u
47
+ 209.831u
46
+ ··· − 393.894u − 88.9611
(ii) Obstruction class = 1
(iii) Cusp Shapes = 35.4796u
47
− 103.388u
46
+ ··· + 567.551u + 258.683
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
48
− 4u
47
+ ··· + 3u + 1
c
2
9(9u
48
+ 12u
47
+ ··· − 2u + 1)
c
3
9(9u
48
+ 12u
47
+ ··· + u + 1)
c
4
u
48
+ 4u
47
+ ··· − 3u + 1
c
5
u
48
+ 6u
46
+ ··· − 90u + 81
c
6
u
48
− 5u
47
+ ··· + 14u + 1
c
7
9(9u
48
− 12u
47
+ ··· + 2u + 1)
c
8
81(81u
48
+ 630u
47
+ ··· + 7u + 1)
c
9
9(9u
48
− 12u
47
+ ··· − u + 1)
c
10
u
48
− u
47
+ ··· − 1572u + 333
c
11
u
48
+ 5u
47
+ ··· − 14u + 1
c
12
u
48
+ 2u
47
+ ··· + 48u + 9
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
48
+ 24y
47
+ ··· + 43y + 1
c
2
, c
7
81(81y
48
+ 2574y
47
+ ··· + 44y + 1)
c
3
, c
9
81(81y
48
− 2448y
47
+ ··· − 43y + 1)
c
5
y
48
+ 12y
47
+ ··· + 541728y + 6561
c
6
, c
11
y
48
− 39y
47
+ ··· − 50y + 1
c
8
6561(6561y
48
− 27378y
47
+ ··· + 3y + 1)
c
10
y
48
− y
47
+ ··· − 316674y + 110889
c
12
y
48
− 22y
47
+ ··· − 1476y + 81
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.677268 + 0.753027I
a = −0.431899 + 0.148921I
b = 1.57452 + 0.19789I
5.21254 − 6.25233I 10.54912 − 0.72730I
u = 0.677268 − 0.753027I
a = −0.431899 − 0.148921I
b = 1.57452 − 0.19789I
5.21254 + 6.25233I 10.54912 + 0.72730I
u = −0.049406 + 0.977314I
a = 1.47729 − 0.36221I
b = −1.89462 − 0.24074I
6.10651 + 0.21347I 8.56006 + 0.47025I
u = −0.049406 − 0.977314I
a = 1.47729 + 0.36221I
b = −1.89462 + 0.24074I
6.10651 − 0.21347I 8.56006 − 0.47025I
u = −0.941040 + 0.129955I
a = −1.385730 + 0.034643I
b = 0.491679 + 0.001678I
−5.40572 + 4.59588I −6.39371 − 10.13528I
u = −0.941040 − 0.129955I
a = −1.385730 − 0.034643I
b = 0.491679 − 0.001678I
−5.40572 − 4.59588I −6.39371 + 10.13528I
u = 0.582367 + 0.927797I
a = −0.227225 − 1.036490I
b = 0.896743 + 0.495914I
1.61918 − 1.76668I 0. + 2.36762I
u = 0.582367 − 0.927797I
a = −0.227225 + 1.036490I
b = 0.896743 − 0.495914I
1.61918 + 1.76668I 0. − 2.36762I
u = 0.016037 + 0.885524I
a = −0.474282 + 0.861436I
b = 2.34120 − 0.24752I
5.06746 − 2.21168I 6.16953 + 3.78028I
u = 0.016037 − 0.885524I
a = −0.474282 − 0.861436I
b = 2.34120 + 0.24752I
5.06746 + 2.21168I 6.16953 − 3.78028I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.348173 + 1.068330I
a = 0.384302 − 0.349445I
b = −1.377670 − 0.227169I
6.62054 + 1.94068I 5.69167 + 0.I
u = 0.348173 − 1.068330I
a = 0.384302 + 0.349445I
b = −1.377670 + 0.227169I
6.62054 − 1.94068I 5.69167 + 0.I
u = 0.015056 + 1.131720I
a = −0.004738 − 0.537449I
b = −1.18637 + 0.94362I
6.01151 + 2.03416I 4.66426 − 3.19973I
u = 0.015056 − 1.131720I
a = −0.004738 + 0.537449I
b = −1.18637 − 0.94362I
6.01151 − 2.03416I 4.66426 + 3.19973I
u = 0.438369 + 1.119810I
a = −0.393884 − 0.456803I
b = 1.215450 + 0.414132I
1.65570 − 1.64946I 0
u = 0.438369 − 1.119810I
a = −0.393884 + 0.456803I
b = 1.215450 − 0.414132I
1.65570 + 1.64946I 0
u = −0.419584 + 0.637730I
a = −1.14410 − 1.44387I
b = 0.393077 − 0.174688I
−4.93101 + 4.30343I −0.49316 − 11.47398I
u = −0.419584 − 0.637730I
a = −1.14410 + 1.44387I
b = 0.393077 + 0.174688I
−4.93101 − 4.30343I −0.49316 + 11.47398I
u = −0.787789 + 0.961220I
a = −0.934268 − 0.326848I
b = 1.83851 + 1.17419I
0.44960 + 6.79917I 0
u = −0.787789 − 0.961220I
a = −0.934268 + 0.326848I
b = 1.83851 − 1.17419I
0.44960 − 6.79917I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.390999 + 0.626599I
a = 0.632484 + 0.926398I
b = −2.67155 − 0.60653I
−4.56973 + 0.99702I −3.86813 − 6.97623I
u = −0.390999 − 0.626599I
a = 0.632484 − 0.926398I
b = −2.67155 + 0.60653I
−4.56973 − 0.99702I −3.86813 + 6.97623I
u = −0.983251 + 0.811877I
a = 0.528823 + 0.566984I
b = −1.111440 − 0.289664I
−4.08113 + 1.15134I 0
u = −0.983251 − 0.811877I
a = 0.528823 − 0.566984I
b = −1.111440 + 0.289664I
−4.08113 − 1.15134I 0
u = 1.287570 + 0.340175I
a = 0.382999 − 0.190209I
b = −0.536269 − 0.385513I
−2.29767 − 3.07732I 0
u = 1.287570 − 0.340175I
a = 0.382999 + 0.190209I
b = −0.536269 + 0.385513I
−2.29767 + 3.07732I 0
u = −0.131214 + 1.325890I
a = −0.597252 + 0.672496I
b = 1.49074 − 0.05534I
2.95493 − 1.72198I 0
u = −0.131214 − 1.325890I
a = −0.597252 − 0.672496I
b = 1.49074 + 0.05534I
2.95493 + 1.72198I 0
u = −0.626741 + 1.209510I
a = 0.824343 + 0.781107I
b = −1.46749 − 0.87493I
−1.73094 + 9.84736I 0
u = −0.626741 − 1.209510I
a = 0.824343 − 0.781107I
b = −1.46749 + 0.87493I
−1.73094 − 9.84736I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.764890 + 1.155320I
a = 0.392460 − 0.299145I
b = −1.003840 + 0.616001I
−1.29791 − 4.82048I 0
u = 0.764890 − 1.155320I
a = 0.392460 + 0.299145I
b = −1.003840 − 0.616001I
−1.29791 + 4.82048I 0
u = 1.32824 + 0.50776I
a = −0.592339 + 0.110009I
b = 0.1269800 + 0.0336655I
−3.54900 − 2.41805I 0
u = 1.32824 − 0.50776I
a = −0.592339 − 0.110009I
b = 0.1269800 − 0.0336655I
−3.54900 + 2.41805I 0
u = 0.33743 + 1.38755I
a = 0.740655 − 0.635339I
b = −1.33595 + 1.14239I
3.38347 − 7.44465I 0
u = 0.33743 − 1.38755I
a = 0.740655 + 0.635339I
b = −1.33595 − 1.14239I
3.38347 + 7.44465I 0
u = −0.073388 + 0.535748I
a = 0.96130 + 2.76187I
b = −0.443797 − 0.323900I
−0.84235 + 6.25989I 3.7680 − 14.3317I
u = −0.073388 − 0.535748I
a = 0.96130 − 2.76187I
b = −0.443797 + 0.323900I
−0.84235 − 6.25989I 3.7680 + 14.3317I
u = −0.115734 + 0.491777I
a = −1.10629 − 0.95714I
b = 3.41728 + 0.35621I
−0.09742 + 7.44614I 8.4144 − 15.3289I
u = −0.115734 − 0.491777I
a = −1.10629 + 0.95714I
b = 3.41728 − 0.35621I
−0.09742 − 7.44614I 8.4144 + 15.3289I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31128 + 1.46922I
a = −0.169885 + 0.235097I
b = −0.314036 − 0.597513I
4.76119 − 8.26412I 0
u = 0.31128 − 1.46922I
a = −0.169885 − 0.235097I
b = −0.314036 + 0.597513I
4.76119 + 8.26412I 0
u = 0.62552 + 1.38356I
a = −0.696219 + 0.285558I
b = 1.57996 − 0.89639I
2.96289 − 4.48046I 0
u = 0.62552 − 1.38356I
a = −0.696219 − 0.285558I
b = 1.57996 + 0.89639I
2.96289 + 4.48046I 0
u = −0.251914 + 0.406963I
a = −1.50117 − 2.91187I
b = 0.993827 + 0.633272I
−5.00528 − 5.34310I −1.94104 + 5.96770I
u = −0.251914 − 0.406963I
a = −1.50117 + 2.91187I
b = 0.993827 − 0.633272I
−5.00528 + 5.34310I −1.94104 − 5.96770I
u = 0.038850 + 0.393182I
a = −0.33205 + 3.18672I
b = −1.350250 + 0.389932I
−6.41761 − 0.62933I −4.99685 + 0.82666I
u = 0.038850 − 0.393182I
a = −0.33205 − 3.18672I
b = −1.350250 − 0.389932I
−6.41761 + 0.62933I −4.99685 − 0.82666I
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
48
− 4u
47
+ ··· + 3u + 1)(u
174
− 7u
173
+ ··· − 32468u + 1231)
c
2
81(9u
48
+ 12u
47
+ ··· − 2u + 1)
· (9u
174
+ 21u
173
+ ··· + 57344u + 284672)
c
3
81(9u
48
+ 12u
47
+ ··· + u + 1)
· (9u
174
+ 21u
173
+ ··· + 52642972u + 7135679)
c
4
(u
48
+ 4u
47
+ ··· − 3u + 1)(u
174
− 7u
173
+ ··· − 32468u + 1231)
c
5
(u
48
+ 6u
46
+ ··· − 90u + 81)
· (u
174
+ 7u
173
+ ··· − 115375851u + 8331579)
c
6
(u
48
− 5u
47
+ ··· + 14u + 1)(u
174
+ 8u
173
+ ··· + 103307u + 4271)
c
7
81(9u
48
− 12u
47
+ ··· + 2u + 1)
· (9u
174
+ 21u
173
+ ··· + 57344u + 284672)
c
8
6561(81u
48
+ 630u
47
+ ··· + 7u + 1)
· (81u
174
+ 1989u
173
+ ··· + 432u + 32)
c
9
81(9u
48
− 12u
47
+ ··· − u + 1)
· (9u
174
+ 21u
173
+ ··· + 52642972u + 7135679)
c
10
(u
48
− u
47
+ ··· − 1572u + 333)
· (u
174
− 14u
172
+ ··· + 207068871u + 14948811)
c
11
(u
48
+ 5u
47
+ ··· − 14u + 1)(u
174
+ 8u
173
+ ··· + 103307u + 4271)
c
12
(u
48
+ 2u
47
+ ··· + 48u + 9)(u
174
− 3u
173
+ ··· + 502185u + 36513)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
48
+ 24y
47
+ ··· + 43y + 1)
· (y
174
+ 85y
173
+ ··· + 414366y + 1515361)
c
2
, c
7
6561(81y
48
+ 2574y
47
+ ··· + 44y + 1)
· (81y
174
+ 7083y
173
+ ··· + 4334293090304y + 81038147584)
c
3
, c
9
6561(81y
48
− 2448y
47
+ ··· − 43y + 1)
· (81y
174
− 9279y
173
+ ··· − 2842222453168320y + 50917914791041)
c
5
(y
48
+ 12y
47
+ ··· + 541728y + 6561)
· (y
174
+ 29y
173
+ ··· + 23467085991243y + 69415208633241)
c
6
, c
11
(y
48
− 39y
47
+ ··· − 50y + 1)
· (y
174
− 122y
173
+ ··· + 2710884961y + 18241441)
c
8
43046721(6561y
48
− 27378y
47
+ ··· + 3y + 1)
· (6561y
174
− 480573y
173
+ ··· − 84736y + 1024)
c
10
(y
48
− y
47
+ ··· − 316674y + 110889)
· (y
174
− 28y
173
+ ··· − 12744162723038499y + 223466950313721)
c
12
(y
48
− 22y
47
+ ··· − 1476y + 81)
· (y
174
− 13y
173
+ ··· + 591008001867y + 1333199169)
34
