12a
0154
(K12a
0154
)
A knot diagram
1
Linearized knot diagam
3 5 9 2 11 10 12 4 7 1 8 6
Solving Sequence
4,8
9
3,12
7 10 6 1 2 11 5
c
8
c
3
c
7
c
9
c
6
c
12
c
1
c
11
c
5
c
2
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.02998 × 10
761
u
152
+ 2.57836 × 10
761
u
151
+ ··· + 1.06742 × 10
765
b + 1.14062 × 10
766
,
− 2.20954 × 10
765
u
152
+ 1.24228 × 10
765
u
151
+ ··· + 2.61518 × 10
768
a − 1.91271 × 10
769
,
u
153
− u
152
+ ··· − 100352u + 25088i
I
u
2
= h−17789137958u
23
+ 33220776343u
22
+ ··· + 123456179965b + 41044745272,
622863190774u
23
− 45963389324u
22
+ ··· + 123456179965a + 2100783655234,
u
24
+ 6u
22
+ ··· + 3u + 1i
I
v
1
= ha, −82026v
8
− 2033115v
7
+ ··· + 764761b + 1552510,
7v
9
+ 3v
8
+ 2v
7
− 14v
6
− 23v
5
+ 33v
4
− v
3
− 8v
2
+ v + 1i
* 3 irreducible components of dim
C
= 0, with total 186 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
= h1.03 × 10
761
u
152
+ 2.58 × 10
761
u
151
+ · · · + 1.07 × 10
765
b + 1.14 ×
10
766
, −2.21 × 10
765
u
152
+ 1.24 × 10
765
u
151
+ · · · + 2.62 × 10
768
a − 1.91 ×
10
769
, u
153
− u
152
+ · · · − 100352u + 25088i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
0.000844890u
152
− 0.000475027u
151
+ ··· + 19.1237u + 7.31387
−0.0000964918u
152
− 0.000241550u
151
+ ··· + 37.0831u − 10.6858
a
7
=
0.00112273u
152
− 0.00136252u
151
+ ··· + 138.408u − 25.4192
−0.000859123u
152
+ 0.000740375u
151
+ ··· − 37.0962u + 0.767980
a
10
=
0.000925760u
152
− 0.000112605u
151
+ ··· − 40.1665u + 26.1899
0.000336810u
152
− 0.00101223u
151
+ ··· + 93.6762u − 21.8306
a
6
=
0.000495709u
152
+ 0.000282113u
151
+ ··· − 94.5284u + 28.2025
−0.000105642u
152
+ 0.000249707u
151
+ ··· − 29.9100u + 5.04860
a
1
=
0.000710992u
152
− 0.000378253u
151
+ ··· + 4.68980u + 5.82071
−0.0000403797u
152
− 0.0000501797u
151
+ ··· + 22.7835u − 6.64752
a
2
=
0.000469687u
152
− 0.000216188u
151
+ ··· + 3.01774u + 4.10464
−0.000116324u
152
+ 0.0000557221u
151
+ ··· + 19.2135u − 6.37565
a
11
=
0.000748398u
152
− 0.000716577u
151
+ ··· + 56.2068u − 3.37190
−0.0000964918u
152
− 0.000241550u
151
+ ··· + 37.0831u − 10.6858
a
5
=
0.000340256u
152
− 0.000271854u
151
+ ··· − 2.54011u + 4.12049
−0.000370736u
152
+ 0.000106399u
151
+ ··· − 7.22991u − 1.70022
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.000503104u
152
+ 0.00134742u
151
+ ··· − 176.014u + 50.8730
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
153
+ 76u
152
+ ··· + 169142u + 2401
c
2
, c
4
u
153
− 14u
152
+ ··· − 762u + 49
c
3
, c
8
u
153
− u
152
+ ··· − 100352u + 25088
c
5
u
153
− u
152
+ ··· + 118105u + 15199
c
6
, c
9
u
153
+ 3u
152
+ ··· + 50071u + 3559
c
7
, c
11
u
153
+ 2u
152
+ ··· + 1528u + 649
c
10
u
153
− 20u
152
+ ··· + 18213u + 14027
c
12
u
153
− 10u
152
+ ··· + 14u + 17
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
153
+ 16y
152
+ ··· + 4705654178y −5764801
c
2
, c
4
y
153
− 76y
152
+ ··· + 169142y −2401
c
3
, c
8
y
153
+ 69y
152
+ ··· − 16338911232y −629407744
c
5
y
153
+ 3y
152
+ ··· − 3235076783y −231009601
c
6
, c
9
y
153
+ 99y
152
+ ··· − 548780483y −12666481
c
7
, c
11
y
153
+ 96y
152
+ ··· − 17206606y −421201
c
10
y
153
− 40y
152
+ ··· + 18060550885y −196756729
c
12
y
153
− 8y
152
+ ··· − 9698y −289
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.535685 + 0.850064I
a = −0.957779 + 0.744294I
b = 1.120390 + 0.276457I
−6.54190 + 4.09896I 0
u = −0.535685 − 0.850064I
a = −0.957779 − 0.744294I
b = 1.120390 − 0.276457I
−6.54190 − 4.09896I 0
u = −0.445504 + 0.916237I
a = −1.78652 − 2.00173I
b = −0.362762 + 1.135490I
0.46000 + 4.24652I 0
u = −0.445504 − 0.916237I
a = −1.78652 + 2.00173I
b = −0.362762 − 1.135490I
0.46000 − 4.24652I 0
u = 0.963884 + 0.333339I
a = 0.449763 − 0.089990I
b = 0.820219 − 1.135580I
−0.38761 + 5.07239I 0
u = 0.963884 − 0.333339I
a = 0.449763 + 0.089990I
b = 0.820219 + 1.135580I
−0.38761 − 5.07239I 0
u = 0.876915 + 0.376484I
a = 1.152500 + 0.137808I
b = 0.508008 + 0.009450I
−1.93090 + 3.15315I 0
u = 0.876915 − 0.376484I
a = 1.152500 − 0.137808I
b = 0.508008 − 0.009450I
−1.93090 − 3.15315I 0
u = −0.609060 + 0.856031I
a = 0.449094 − 0.010633I
b = 0.492806 − 0.505007I
−1.61580 + 2.44952I 0
u = −0.609060 − 0.856031I
a = 0.449094 + 0.010633I
b = 0.492806 + 0.505007I
−1.61580 − 2.44952I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.204374 + 1.045990I
a = 1.53157 + 2.23881I
b = 0.036430 − 0.934205I
1.15055 − 2.63661I 0
u = −0.204374 − 1.045990I
a = 1.53157 − 2.23881I
b = 0.036430 + 0.934205I
1.15055 + 2.63661I 0
u = −0.508162 + 0.782935I
a = −0.266025 − 0.838281I
b = −1.134630 + 0.627976I
−6.76823 + 0.15150I 0
u = −0.508162 − 0.782935I
a = −0.266025 + 0.838281I
b = −1.134630 − 0.627976I
−6.76823 − 0.15150I 0
u = −0.922935 + 0.121870I
a = 0.581391 − 0.011746I
b = 0.585755 − 1.155070I
0.157068 + 1.043870I 0
u = −0.922935 − 0.121870I
a = 0.581391 + 0.011746I
b = 0.585755 + 1.155070I
0.157068 − 1.043870I 0
u = 0.903920 + 0.209501I
a = 0.553053 + 0.124360I
b = 0.270744 − 1.172410I
2.95829 + 2.47842I 0
u = 0.903920 − 0.209501I
a = 0.553053 − 0.124360I
b = 0.270744 + 1.172410I
2.95829 − 2.47842I 0
u = 0.300782 + 0.875145I
a = 0.729671 + 0.099867I
b = 0.663486 − 0.115067I
−2.14959 − 1.73247I 0
u = 0.300782 − 0.875145I
a = 0.729671 − 0.099867I
b = 0.663486 + 0.115067I
−2.14959 + 1.73247I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.258744 + 1.046120I
a = −0.44696 − 2.03128I
b = 0.26976 + 1.75917I
5.01099 + 0.58946I 0
u = −0.258744 − 1.046120I
a = −0.44696 + 2.03128I
b = 0.26976 − 1.75917I
5.01099 − 0.58946I 0
u = 0.642698 + 0.645143I
a = −0.136532 + 0.483931I
b = −0.665064 − 0.759183I
−6.10563 − 7.70875I 0
u = 0.642698 − 0.645143I
a = −0.136532 − 0.483931I
b = −0.665064 + 0.759183I
−6.10563 + 7.70875I 0
u = −0.801085 + 0.431000I
a = 0.310129 − 0.841518I
b = −0.344721 − 1.277040I
0.54761 − 1.44300I 0
u = −0.801085 − 0.431000I
a = 0.310129 + 0.841518I
b = −0.344721 + 1.277040I
0.54761 + 1.44300I 0
u = 0.002838 + 1.091580I
a = −0.278846 + 0.243125I
b = 1.151340 + 0.385985I
0.67913 − 5.24901I 0
u = 0.002838 − 1.091580I
a = −0.278846 − 0.243125I
b = 1.151340 − 0.385985I
0.67913 + 5.24901I 0
u = −0.777727 + 0.468389I
a = 0.032062 − 1.364940I
b = 0.364302 + 1.038620I
−3.53913 − 4.44208I 0
u = −0.777727 − 0.468389I
a = 0.032062 + 1.364940I
b = 0.364302 − 1.038620I
−3.53913 + 4.44208I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.681603 + 0.856158I
a = 0.383637 − 0.453388I
b = −0.097180 − 0.443108I
−1.64798 + 2.66834I 0
u = −0.681603 − 0.856158I
a = 0.383637 + 0.453388I
b = −0.097180 + 0.443108I
−1.64798 − 2.66834I 0
u = −0.448783 + 0.780419I
a = 0.460069 + 0.006024I
b = 0.367827 + 0.888025I
0.011275 − 0.515252I 0
u = −0.448783 − 0.780419I
a = 0.460069 − 0.006024I
b = 0.367827 − 0.888025I
0.011275 + 0.515252I 0
u = 0.354401 + 1.046270I
a = 0.040555 − 0.277760I
b = 1.137550 − 0.683186I
−0.071240 + 0.591588I 0
u = 0.354401 − 1.046270I
a = 0.040555 + 0.277760I
b = 1.137550 + 0.683186I
−0.071240 − 0.591588I 0
u = 0.382598 + 1.036750I
a = −0.60471 + 2.75188I
b = −0.252020 − 1.126350I
0.49834 − 4.72614I 0
u = 0.382598 − 1.036750I
a = −0.60471 − 2.75188I
b = −0.252020 + 1.126350I
0.49834 + 4.72614I 0
u = 0.815720 + 0.746625I
a = 0.225791 + 0.746248I
b = −0.316503 + 0.379948I
−5.37187 + 1.31466I 0
u = 0.815720 − 0.746625I
a = 0.225791 − 0.746248I
b = −0.316503 − 0.379948I
−5.37187 − 1.31466I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.955575 + 0.565339I
a = −0.587877 − 0.950056I
b = −1.218280 + 0.222612I
−5.98888 − 6.70269I 0
u = −0.955575 − 0.565339I
a = −0.587877 + 0.950056I
b = −1.218280 − 0.222612I
−5.98888 + 6.70269I 0
u = 0.182390 + 1.095740I
a = 0.168163 − 0.255873I
b = −0.715456 + 0.340843I
3.19945 + 0.72226I 0
u = 0.182390 − 1.095740I
a = 0.168163 + 0.255873I
b = −0.715456 − 0.340843I
3.19945 − 0.72226I 0
u = 0.805754 + 0.768499I
a = 0.337734 + 0.305147I
b = 0.193217 + 0.385041I
−5.39360 + 1.42120I 0
u = 0.805754 − 0.768499I
a = 0.337734 − 0.305147I
b = 0.193217 − 0.385041I
−5.39360 − 1.42120I 0
u = 0.348398 + 1.061970I
a = 0.99845 − 1.60723I
b = 0.49146 + 1.45501I
4.66993 − 1.60864I 0
u = 0.348398 − 1.061970I
a = 0.99845 + 1.60723I
b = 0.49146 − 1.45501I
4.66993 + 1.60864I 0
u = −0.530265 + 1.000750I
a = 0.437822 − 0.746270I
b = 0.644088 + 1.066550I
−2.51484 + 2.05166I 0
u = −0.530265 − 1.000750I
a = 0.437822 + 0.746270I
b = 0.644088 − 1.066550I
−2.51484 − 2.05166I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.754916 + 0.396167I
a = −0.337136 + 1.209200I
b = −0.910902 − 0.277632I
−3.73555 + 2.61983I 0
u = 0.754916 − 0.396167I
a = −0.337136 − 1.209200I
b = −0.910902 + 0.277632I
−3.73555 − 2.61983I 0
u = 0.200182 + 0.827275I
a = 0.766133 + 0.583290I
b = 0.635459 − 0.905618I
−0.70464 + 2.18373I 0
u = 0.200182 − 0.827275I
a = 0.766133 − 0.583290I
b = 0.635459 + 0.905618I
−0.70464 − 2.18373I 0
u = −1.025680 + 0.527430I
a = 0.470833 − 0.112701I
b = 0.416683 + 1.162410I
1.21069 − 6.89643I 0
u = −1.025680 − 0.527430I
a = 0.470833 + 0.112701I
b = 0.416683 − 1.162410I
1.21069 + 6.89643I 0
u = −0.369768 + 1.113800I
a = −0.290481 − 0.523778I
b = −0.680367 − 0.072356I
2.45307 + 3.31889I 0
u = −0.369768 − 1.113800I
a = −0.290481 + 0.523778I
b = −0.680367 + 0.072356I
2.45307 − 3.31889I 0
u = −1.137740 + 0.304996I
a = −0.040385 + 0.439482I
b = −0.553752 − 1.228560I
−0.70902 − 7.98208I 0
u = −1.137740 − 0.304996I
a = −0.040385 − 0.439482I
b = −0.553752 + 1.228560I
−0.70902 + 7.98208I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.466239 + 1.093730I
a = 0.72766 − 2.29526I
b = 0.621432 + 1.262100I
−3.40243 − 10.22740I 0
u = 0.466239 − 1.093730I
a = 0.72766 + 2.29526I
b = 0.621432 − 1.262100I
−3.40243 + 10.22740I 0
u = −0.475035 + 1.092450I
a = 0.172016 + 0.035937I
b = −0.748153 − 0.597520I
1.78661 + 4.16402I 0
u = −0.475035 − 1.092450I
a = 0.172016 − 0.035937I
b = −0.748153 + 0.597520I
1.78661 − 4.16402I 0
u = 0.495026 + 1.083820I
a = 1.63582 − 1.32478I
b = 0.224946 + 0.846168I
−0.38974 − 2.15739I 0
u = 0.495026 − 1.083820I
a = 1.63582 + 1.32478I
b = 0.224946 − 0.846168I
−0.38974 + 2.15739I 0
u = 0.152811 + 0.785601I
a = 0.27774 + 3.81988I
b = −0.714576 − 1.068750I
−1.47879 − 2.88577I −8.00000 + 0.I
u = 0.152811 − 0.785601I
a = 0.27774 − 3.81988I
b = −0.714576 + 1.068750I
−1.47879 + 2.88577I −8.00000 + 0.I
u = −0.176246 + 0.773662I
a = 0.482610 − 0.141298I
b = 0.116541 − 0.720019I
0.76492 + 3.31721I 0. − 8.04165I
u = −0.176246 − 0.773662I
a = 0.482610 + 0.141298I
b = 0.116541 + 0.720019I
0.76492 − 3.31721I 0. + 8.04165I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.558564 + 0.552366I
a = −3.74217 − 2.83400I
b = −0.462300 + 0.973230I
−3.84037 + 2.35778I −15.4899 − 4.8701I
u = −0.558564 − 0.552366I
a = −3.74217 + 2.83400I
b = −0.462300 − 0.973230I
−3.84037 − 2.35778I −15.4899 + 4.8701I
u = −0.450215 + 0.639870I
a = 2.57702 + 1.32495I
b = 0.177883 − 1.146750I
0.059344 − 0.653379I −8.00000 + 0.I
u = −0.450215 − 0.639870I
a = 2.57702 − 1.32495I
b = 0.177883 + 1.146750I
0.059344 + 0.653379I −8.00000 + 0.I
u = 0.535702 + 1.095500I
a = −0.82276 + 1.48947I
b = 0.19824 − 1.88735I
3.27382 − 5.45616I 0
u = 0.535702 − 1.095500I
a = −0.82276 − 1.48947I
b = 0.19824 + 1.88735I
3.27382 + 5.45616I 0
u = 0.746802 + 0.969424I
a = 0.277624 + 0.382748I
b = −0.031623 + 0.371474I
−4.78165 − 7.26278I 0
u = 0.746802 − 0.969424I
a = 0.277624 − 0.382748I
b = −0.031623 − 0.371474I
−4.78165 + 7.26278I 0
u = 1.212260 + 0.176281I
a = 0.302197 + 0.782964I
b = −0.130880 − 0.753790I
−1.88517 + 2.34362I 0
u = 1.212260 − 0.176281I
a = 0.302197 − 0.782964I
b = −0.130880 + 0.753790I
−1.88517 − 2.34362I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.550216 + 1.100350I
a = −0.478305 − 0.430420I
b = 1.320680 − 0.128865I
−1.60886 − 7.51304I 0
u = 0.550216 − 1.100350I
a = −0.478305 + 0.430420I
b = 1.320680 + 0.128865I
−1.60886 + 7.51304I 0
u = 0.304943 + 0.691304I
a = −0.07698 + 1.55372I
b = −0.483695 − 0.070669I
−2.73096 − 1.04396I −10.23832 + 5.73431I
u = 0.304943 − 0.691304I
a = −0.07698 − 1.55372I
b = −0.483695 + 0.070669I
−2.73096 + 1.04396I −10.23832 − 5.73431I
u = 0.712071 + 1.022870I
a = 0.288373 − 0.107361I
b = 0.671877 + 0.301176I
−4.47893 − 7.12118I 0
u = 0.712071 − 1.022870I
a = 0.288373 + 0.107361I
b = 0.671877 − 0.301176I
−4.47893 + 7.12118I 0
u = 0.684741 + 0.297273I
a = 0.845673 − 0.021751I
b = 0.034238 + 1.161630I
2.58263 − 1.72264I −1.48426 + 4.56743I
u = 0.684741 − 0.297273I
a = 0.845673 + 0.021751I
b = 0.034238 − 1.161630I
2.58263 + 1.72264I −1.48426 − 4.56743I
u = 0.655157 + 0.357234I
a = −3.10571 − 0.15746I
b = −0.08775 − 1.68660I
1.129760 + 0.814632I −13.41803 − 2.99025I
u = 0.655157 − 0.357234I
a = −3.10571 + 0.15746I
b = −0.08775 + 1.68660I
1.129760 − 0.814632I −13.41803 + 2.99025I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.185061 + 1.241300I
a = −0.20210 + 2.01403I
b = 0.278654 − 0.906986I
−3.80031 + 0.34121I 0
u = −0.185061 − 1.241300I
a = −0.20210 − 2.01403I
b = 0.278654 + 0.906986I
−3.80031 − 0.34121I 0
u = −0.605985 + 1.099590I
a = −0.98424 − 2.11885I
b = −0.335725 + 1.216940I
−1.62186 + 9.68707I 0
u = −0.605985 − 1.099590I
a = −0.98424 + 2.11885I
b = −0.335725 − 1.216940I
−1.62186 − 9.68707I 0
u = −0.580152 + 1.119200I
a = 1.03851 + 1.16281I
b = 0.64235 − 1.34975I
2.69237 + 6.63075I 0
u = −0.580152 − 1.119200I
a = 1.03851 − 1.16281I
b = 0.64235 + 1.34975I
2.69237 − 6.63075I 0
u = 0.219692 + 1.258350I
a = 0.69073 − 1.41220I
b = −0.56727 + 1.35496I
5.13882 + 1.56779I 0
u = 0.219692 − 1.258350I
a = 0.69073 + 1.41220I
b = −0.56727 − 1.35496I
5.13882 − 1.56779I 0
u = −0.394143 + 1.217230I
a = −0.42981 − 1.84373I
b = −0.87948 + 1.25447I
4.36623 + 5.28259I 0
u = −0.394143 − 1.217230I
a = −0.42981 + 1.84373I
b = −0.87948 − 1.25447I
4.36623 − 5.28259I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.148120 + 0.566655I
a = −0.046165 − 0.413988I
b = −0.64243 + 1.30888I
−2.53615 + 13.16840I 0
u = 1.148120 − 0.566655I
a = −0.046165 + 0.413988I
b = −0.64243 − 1.30888I
−2.53615 − 13.16840I 0
u = 0.583837 + 1.142450I
a = −0.477542 + 0.394803I
b = −0.676892 + 0.255110I
0.47061 − 8.49310I 0
u = 0.583837 − 1.142450I
a = −0.477542 − 0.394803I
b = −0.676892 − 0.255110I
0.47061 + 8.49310I 0
u = 0.031866 + 1.305860I
a = −0.28092 + 1.86012I
b = −0.257800 − 1.360700I
8.53653 − 4.24665I 0
u = 0.031866 − 1.305860I
a = −0.28092 − 1.86012I
b = −0.257800 + 1.360700I
8.53653 + 4.24665I 0
u = 0.566610 + 1.177710I
a = −1.22282 + 1.44594I
b = −0.463230 − 1.217480I
5.83587 − 7.72355I 0
u = 0.566610 − 1.177710I
a = −1.22282 − 1.44594I
b = −0.463230 + 1.217480I
5.83587 + 7.72355I 0
u = 0.625190 + 0.265196I
a = −2.16805 − 0.63872I
b = 0.130356 + 0.696158I
−2.69283 − 2.12824I −10.87511 + 1.79346I
u = 0.625190 − 0.265196I
a = −2.16805 + 0.63872I
b = 0.130356 − 0.696158I
−2.69283 + 2.12824I −10.87511 − 1.79346I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.671514 + 0.096820I
a = 1.077210 + 0.006923I
b = 0.384614 − 0.209496I
−0.941917 − 0.128738I −8.86024 − 1.07665I
u = −0.671514 − 0.096820I
a = 1.077210 − 0.006923I
b = 0.384614 + 0.209496I
−0.941917 + 0.128738I −8.86024 + 1.07665I
u = −0.273652 + 0.619851I
a = −0.035044 + 0.803485I
b = −0.835564 − 0.897902I
−5.78318 + 2.01516I −9.15865 − 7.62858I
u = −0.273652 − 0.619851I
a = −0.035044 − 0.803485I
b = −0.835564 + 0.897902I
−5.78318 − 2.01516I −9.15865 + 7.62858I
u = 0.220921 + 1.303860I
a = 0.14696 − 1.78419I
b = −0.148798 + 1.387450I
8.17021 − 1.41350I 0
u = 0.220921 − 1.303860I
a = 0.14696 + 1.78419I
b = −0.148798 − 1.387450I
8.17021 + 1.41350I 0
u = −0.476908 + 1.242780I
a = 0.826029 + 1.009660I
b = −0.41478 − 1.39469I
3.75333 + 3.98207I 0
u = −0.476908 − 1.242780I
a = 0.826029 − 1.009660I
b = −0.41478 + 1.39469I
3.75333 − 3.98207I 0
u = −0.701739 + 1.133870I
a = −0.310858 + 0.551653I
b = 1.41911 + 0.22157I
−4.17318 + 12.79720I 0
u = −0.701739 − 1.133870I
a = −0.310858 − 0.551653I
b = 1.41911 − 0.22157I
−4.17318 − 12.79720I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.366926 + 0.545492I
a = −0.100820 − 0.430686I
b = −0.787889 + 1.063920I
−5.33229 + 6.54252I −9.66566 + 3.71560I
u = 0.366926 − 0.545492I
a = −0.100820 + 0.430686I
b = −0.787889 − 1.063920I
−5.33229 − 6.54252I −9.66566 − 3.71560I
u = 0.611183 + 1.208950I
a = −0.78814 + 1.61215I
b = −0.98635 − 1.22650I
2.35547 − 10.80480I 0
u = 0.611183 − 1.208950I
a = −0.78814 − 1.61215I
b = −0.98635 + 1.22650I
2.35547 + 10.80480I 0
u = −0.719427 + 1.172540I
a = −1.28956 − 1.17905I
b = −0.527424 + 1.183770I
3.26481 + 13.23710I 0
u = −0.719427 − 1.172540I
a = −1.28956 + 1.17905I
b = −0.527424 − 1.183770I
3.26481 − 13.23710I 0
u = −0.64800 + 1.25725I
a = 0.78304 + 1.72387I
b = 0.64458 − 1.37215I
2.3368 + 14.2623I 0
u = −0.64800 − 1.25725I
a = 0.78304 − 1.72387I
b = 0.64458 + 1.37215I
2.3368 − 14.2623I 0
u = −1.33479 + 0.51134I
a = −0.058226 − 0.594925I
b = −0.243730 + 0.918437I
−1.16480 + 4.56244I 0
u = −1.33479 − 0.51134I
a = −0.058226 + 0.594925I
b = −0.243730 − 0.918437I
−1.16480 − 4.56244I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.34576 + 0.50106I
a = 0.199176 + 0.790137I
b = −0.281301 − 1.063790I
−2.44919 − 3.44783I 0
u = −1.34576 − 0.50106I
a = 0.199176 − 0.790137I
b = −0.281301 + 1.063790I
−2.44919 + 3.44783I 0
u = 0.65478 + 1.28203I
a = −0.84445 + 1.16407I
b = −0.295587 − 0.739823I
1.49037 − 8.72661I 0
u = 0.65478 − 1.28203I
a = −0.84445 − 1.16407I
b = −0.295587 + 0.739823I
1.49037 + 8.72661I 0
u = 0.77730 + 1.21528I
a = 0.97429 − 1.57011I
b = 0.70650 + 1.38800I
−0.4238 − 20.0703I 0
u = 0.77730 − 1.21528I
a = 0.97429 + 1.57011I
b = 0.70650 − 1.38800I
−0.4238 + 20.0703I 0
u = −0.46163 + 1.37531I
a = −0.72219 − 1.29824I
b = −0.124408 + 0.834699I
3.60458 + 2.74950I 0
u = −0.46163 − 1.37531I
a = −0.72219 + 1.29824I
b = −0.124408 − 0.834699I
3.60458 − 2.74950I 0
u = 0.514356 + 0.114421I
a = −1.13849 + 7.13373I
b = −0.519880 + 0.508746I
−2.79806 + 3.16139I −17.8778 − 3.5823I
u = 0.514356 − 0.114421I
a = −1.13849 − 7.13373I
b = −0.519880 − 0.508746I
−2.79806 − 3.16139I −17.8778 + 3.5823I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.81157 + 1.24680I
a = 0.71258 + 1.47248I
b = 0.379605 − 1.280520I
−0.09625 + 10.86920I 0
u = −0.81157 − 1.24680I
a = 0.71258 − 1.47248I
b = 0.379605 + 1.280520I
−0.09625 − 10.86920I 0
u = −0.13934 + 1.48734I
a = −0.11430 + 1.65125I
b = 0.362579 − 1.298610I
6.11189 + 9.64087I 0
u = −0.13934 − 1.48734I
a = −0.11430 − 1.65125I
b = 0.362579 + 1.298610I
6.11189 − 9.64087I 0
u = −0.499851
a = 1.00285
b = 0.422372
−0.842074 −11.5210
u = −0.08302 + 1.52870I
a = −0.35740 − 1.49148I
b = 0.244005 + 1.212190I
6.21066 − 3.22971I 0
u = −0.08302 − 1.52870I
a = −0.35740 + 1.49148I
b = 0.244005 − 1.212190I
6.21066 + 3.22971I 0
u = −0.020109 + 0.465571I
a = 0.993741 − 0.012339I
b = 0.599793 − 0.830820I
−0.87309 + 2.36039I −4.63324 − 1.20512I
u = −0.020109 − 0.465571I
a = 0.993741 + 0.012339I
b = 0.599793 + 0.830820I
−0.87309 − 2.36039I −4.63324 + 1.20512I
u = 0.74263 + 1.34378I
a = 0.50632 − 1.48354I
b = 0.262104 + 1.224100I
2.80976 − 4.80966I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.74263 − 1.34378I
a = 0.50632 + 1.48354I
b = 0.262104 − 1.224100I
2.80976 + 4.80966I 0
u = 0.96071 + 1.27483I
a = −0.421617 + 0.761207I
b = 0.098347 − 0.782292I
−4.60981 + 1.86353I 0
u = 0.96071 − 1.27483I
a = −0.421617 − 0.761207I
b = 0.098347 + 0.782292I
−4.60981 − 1.86353I 0
20
II.
I
u
2
= h−1.78×10
10
u
23
+3.32×10
10
u
22
+· · ·+1.23×10
11
b+4.10×10
10
, 6.23×
10
11
u
23
−4.60×10
10
u
22
+· · ·+1.23×10
11
a+2.10×10
12
, u
24
+6u
22
+· · ·+3u+1i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
−5.04522u
23
+ 0.372305u
22
+ ··· − 14.3586u − 17.0164
0.144093u
23
− 0.269090u
22
+ ··· + 0.758652u − 0.332464
a
7
=
1.06367u
23
− 1.88116u
22
+ ··· + 14.0431u − 4.29037
0.135846u
23
− 0.0946331u
22
+ ··· + 1.96665u + 0.813872
a
10
=
−4.15603u
23
+ 0.0371191u
22
+ ··· − 11.7454u − 14.9491
0.144093u
23
− 0.269090u
22
+ ··· + 0.758652u − 0.332464
a
6
=
−5.65892u
23
+ 1.12042u
22
+ ··· − 16.1925u − 15.8827
0.0216583u
23
− 0.0159152u
22
+ ··· + 2.08303u + 0.149058
a
1
=
−1.15388u
23
+ 0.396430u
22
+ ··· − 3.81616u − 2.21358
−0.123678u
23
− 0.0283571u
22
+ ··· + 0.0809646u − 0.0612439
a
2
=
−1.29882u
23
+ 0.303702u
22
+ ··· − 3.72961u − 2.53129
−0.208641u
23
− 0.0459699u
22
+ ··· + 0.590643u − 0.286228
a
11
=
−4.90112u
23
+ 0.103216u
22
+ ··· − 13.5999u − 17.3489
0.144093u
23
− 0.269090u
22
+ ··· + 0.758652u − 0.332464
a
5
=
1.03969u
23
− 0.317712u
22
+ ··· + 3.93254u + 2.54876
−0.114188u
23
+ 0.0787179u
22
+ ··· + 0.116374u + 0.335186
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
1467040447468
123456179965
u
23
+
455607258203
123456179965
u
22
+ ··· −
6992112076971
123456179965
u −
3837088950818
123456179965
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
24
− 12u
23
+ ··· − u + 1
c
2
u
24
+ 4u
23
+ ··· + 3u + 1
c
3
u
24
+ 6u
22
+ ··· − 3u + 1
c
4
u
24
− 4u
23
+ ··· − 3u + 1
c
5
u
24
+ 3u
23
+ ··· + 5u
3
+ 1
c
6
u
24
+ 3u
23
+ ··· + 12u
2
+ 1
c
7
u
24
+ 12u
22
+ ··· − 3u + 1
c
8
u
24
+ 6u
22
+ ··· + 3u + 1
c
9
u
24
− 3u
23
+ ··· + 12u
2
+ 1
c
10
u
24
− 6u
22
+ ··· − 12u + 1
c
11
u
24
+ 12u
22
+ ··· + 3u + 1
c
12
u
24
− 5u
21
+ ··· − 3u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
+ 4y
23
+ ··· − 21y + 1
c
2
, c
4
y
24
− 12y
23
+ ··· − y + 1
c
3
, c
8
y
24
+ 12y
23
+ ··· − y + 1
c
5
y
24
− 5y
23
+ ··· − 6y
2
+ 1
c
6
, c
9
y
24
+ 19y
23
+ ··· + 24y + 1
c
7
, c
11
y
24
+ 24y
23
+ ··· + 19y + 1
c
10
y
24
− 12y
23
+ ··· − 12y + 1
c
12
y
24
− 6y
22
+ ··· − 5y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.385812 + 0.959765I
a = 0.888808 − 0.037073I
b = 0.595502 + 0.631954I
−1.33907 + 0.48887I −9.91527 − 0.20213I
u = −0.385812 − 0.959765I
a = 0.888808 + 0.037073I
b = 0.595502 − 0.631954I
−1.33907 − 0.48887I −9.91527 + 0.20213I
u = −1.077360 + 0.108391I
a = −0.075297 − 0.906894I
b = 0.334692 + 0.897697I
−1.69057 − 3.87913I −9.47886 + 7.35968I
u = −1.077360 − 0.108391I
a = −0.075297 + 0.906894I
b = 0.334692 − 0.897697I
−1.69057 + 3.87913I −9.47886 − 7.35968I
u = 0.008495 + 0.868868I
a = 0.794659 − 0.583248I
b = 0.461312 − 0.571784I
−0.33081 + 3.49000I −8.88183 − 7.57316I
u = 0.008495 − 0.868868I
a = 0.794659 + 0.583248I
b = 0.461312 + 0.571784I
−0.33081 − 3.49000I −8.88183 + 7.57316I
u = 0.743321 + 0.919032I
a = 0.077224 + 0.176295I
b = 0.161396 + 0.548115I
−4.59064 − 7.57890I −4.1390 + 15.0235I
u = 0.743321 − 0.919032I
a = 0.077224 − 0.176295I
b = 0.161396 − 0.548115I
−4.59064 + 7.57890I −4.1390 − 15.0235I
u = −0.122647 + 1.176190I
a = 0.57790 + 1.71442I
b = −0.21101 − 1.58776I
5.66713 − 0.57004I −0.69951 + 1.76332I
u = −0.122647 − 1.176190I
a = 0.57790 − 1.71442I
b = −0.21101 + 1.58776I
5.66713 + 0.57004I −0.69951 − 1.76332I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.569181 + 0.581107I
a = −0.571641 − 0.327832I
b = 0.284741 − 0.656736I
−1.37593 + 3.51457I −7.17387 − 6.69949I
u = −0.569181 − 0.581107I
a = −0.571641 + 0.327832I
b = 0.284741 + 0.656736I
−1.37593 − 3.51457I −7.17387 + 6.69949I
u = 0.449036 + 1.170250I
a = 0.92955 − 1.20422I
b = −0.16034 + 1.69292I
4.46285 − 4.61755I −0.52048 + 4.72657I
u = 0.449036 − 1.170250I
a = 0.92955 + 1.20422I
b = −0.16034 − 1.69292I
4.46285 + 4.61755I −0.52048 − 4.72657I
u = 0.615552 + 0.171616I
a = 1.21237 + 3.01743I
b = 0.05347 + 1.55815I
1.50297 + 0.47371I −3.53428 + 7.18464I
u = 0.615552 − 0.171616I
a = 1.21237 − 3.01743I
b = 0.05347 − 1.55815I
1.50297 − 0.47371I −3.53428 − 7.18464I
u = 0.464020 + 1.310710I
a = −0.43654 + 1.72106I
b = −0.434102 − 1.121700I
3.62995 − 4.17688I −4.23406 + 3.79944I
u = 0.464020 − 1.310710I
a = −0.43654 − 1.72106I
b = −0.434102 + 1.121700I
3.62995 + 4.17688I −4.23406 − 3.79944I
u = −0.639779 + 1.245700I
a = −0.79005 − 1.60305I
b = −0.580023 + 1.066030I
1.50968 + 9.96183I −8.32009 − 8.52814I
u = −0.639779 − 1.245700I
a = −0.79005 + 1.60305I
b = −0.580023 − 1.066030I
1.50968 − 9.96183I −8.32009 + 8.52814I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.847108 + 1.119260I
a = 0.643038 − 0.601163I
b = −0.074936 + 0.774321I
−4.43225 + 1.71576I −1.84111 + 5.35701I
u = 0.847108 − 1.119260I
a = 0.643038 + 0.601163I
b = −0.074936 − 0.774321I
−4.43225 − 1.71576I −1.84111 − 5.35701I
u = −0.332750 + 0.244285I
a = −13.7500 − 3.6782I
b = −0.430698 + 0.709042I
−3.01331 + 2.64864I −17.2617 − 24.3171I
u = −0.332750 − 0.244285I
a = −13.7500 + 3.6782I
b = −0.430698 − 0.709042I
−3.01331 − 2.64864I −17.2617 + 24.3171I
28
III. I
v
1
= ha, −8.20 × 10
4
v
8
− 2.03 × 10
6
v
7
+ · · · + 7.65 × 10
5
b + 1.55 ×
10
6
, 7v
9
+ 3v
8
+ · · · + v + 1i
(i) Arc colorings
a
4
=
v
0
a
8
=
1
0
a
9
=
1
0
a
3
=
v
0
a
12
=
0
0.107257v
8
+ 2.65850v
7
+ ··· − 0.280187v − 2.03006
a
7
=
1
−2.14626v
8
+ 0.185889v
7
+ ··· − 0.429870v − 1.30771
a
10
=
2.14626v
8
− 0.185889v
7
+ ··· + 0.429870v + 2.30771
7.44747v
8
+ 5.03558v
7
+ ··· − 3.40173v + 1.94867
a
6
=
−5.30121v
8
− 5.22147v
7
+ ··· + 3.83160v + 0.359036
−4.28776v
8
− 5.68587v
7
+ ··· + 4.90646v + 0.176565
a
1
=
8.01346v
8
+ 2.53560v
7
+ ··· − 6.92515v + 0.817529
7v
8
+ 3v
7
+ 2v
6
− 14v
5
− 23v
4
+ 33v
3
− v
2
− 8v + 1
a
2
=
8.01346v
8
+ 2.53560v
7
+ ··· − 5.92515v + 0.817529
7v
8
+ 3v
7
+ 2v
6
− 14v
5
− 23v
4
+ 33v
3
− v
2
− 8v + 1
a
11
=
0.107257v
8
+ 2.65850v
7
+ ··· − 0.280187v − 2.03006
0.107257v
8
+ 2.65850v
7
+ ··· − 0.280187v − 2.03006
a
5
=
−8.01346v
8
− 2.53560v
7
+ ··· + 6.92515v − 0.817529
−7v
8
− 3v
7
− 2v
6
+ 14v
5
+ 23v
4
− 33v
3
+ v
2
+ 8v − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =
17698695
764761
v
8
−
786460
764761
v
7
+
4755547
764761
v
6
−
34014228
764761
v
5
−
35615785
764761
v
4
+
111023508
764761
v
3
−
50152809
764761
v
2
−
10570795
764761
v −
324941
764761
29
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
9
c
3
, c
8
u
9
c
4
(u + 1)
9
c
5
, c
10
u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1
c
6
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1
c
7
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u − 1
c
9
u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1
c
11
u
9
− u
8
+ 2u
7
− u
6
+ 3u
5
− u
4
+ 2u
3
+ u + 1
c
12
u
9
+ 5u
8
+ 12u
7
+ 15u
6
+ 9u
5
− u
4
− 4u
3
− 2u
2
+ u + 1
30
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y − 1)
9
c
3
, c
8
y
9
c
5
, c
10
y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y − 1
c
6
, c
9
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1
c
7
, c
11
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1
c
12
y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y − 1
31
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 0.903964 + 0.094390I
a = 0
b = 0.140343 + 0.966856I
0.13850 − 2.09337I −5.49232 + 4.08340I
v = 0.903964 − 0.094390I
a = 0
b = 0.140343 − 0.966856I
0.13850 + 2.09337I −5.49232 − 4.08340I
v = −1.42091
a = 0
b = 0.512358
−2.84338 −14.1380
v = 0.476406 + 0.294981I
a = 0
b = −0.796005 + 0.733148I
−6.01628 − 1.33617I −13.72452 − 1.86826I
v = 0.476406 − 0.294981I
a = 0
b = −0.796005 − 0.733148I
−6.01628 + 1.33617I −13.72452 + 1.86826I
v = −0.352455 + 0.113243I
a = 0
b = −0.728966 − 0.986295I
−5.24306 − 7.08493I −7.53426 + 10.08360I
v = −0.352455 − 0.113243I
a = 0
b = −0.728966 + 0.986295I
−5.24306 + 7.08493I −7.53426 − 10.08360I
v = −0.53175 + 1.59553I
a = 0
b = 0.628449 + 0.875112I
−2.26187 − 2.45442I −12.87375 + 1.42824I
v = −0.53175 − 1.59553I
a = 0
b = 0.628449 − 0.875112I
−2.26187 + 2.45442I −12.87375 − 1.42824I
32
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
9
)(u
24
− 12u
23
+ ··· − u + 1)
· (u
153
+ 76u
152
+ ··· + 169142u + 2401)
c
2
((u − 1)
9
)(u
24
+ 4u
23
+ ··· + 3u + 1)(u
153
− 14u
152
+ ··· − 762u + 49)
c
3
u
9
(u
24
+ 6u
22
+ ··· − 3u + 1)(u
153
− u
152
+ ··· − 100352u + 25088)
c
4
((u + 1)
9
)(u
24
− 4u
23
+ ··· − 3u + 1)(u
153
− 14u
152
+ ··· − 762u + 49)
c
5
(u
9
+ u
8
+ ··· − u − 1)(u
24
+ 3u
23
+ ··· + 5u
3
+ 1)
· (u
153
− u
152
+ ··· + 118105u + 15199)
c
6
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u − 1)
· (u
24
+ 3u
23
+ ··· + 12u
2
+ 1)(u
153
+ 3u
152
+ ··· + 50071u + 3559)
c
7
(u
9
+ u
8
+ ··· + u − 1)(u
24
+ 12u
22
+ ··· − 3u + 1)
· (u
153
+ 2u
152
+ ··· + 1528u + 649)
c
8
u
9
(u
24
+ 6u
22
+ ··· + 3u + 1)(u
153
− u
152
+ ··· − 100352u + 25088)
c
9
(u
9
− 3u
8
+ 8u
7
− 13u
6
+ 17u
5
− 17u
4
+ 12u
3
− 6u
2
+ u + 1)
· (u
24
− 3u
23
+ ··· + 12u
2
+ 1)(u
153
+ 3u
152
+ ··· + 50071u + 3559)
c
10
(u
9
+ u
8
− 2u
7
− 3u
6
+ u
5
+ 3u
4
+ 2u
3
− u − 1)
· (u
24
− 6u
22
+ ··· − 12u + 1)(u
153
− 20u
152
+ ··· + 18213u + 14027)
c
11
(u
9
− u
8
+ ··· + u + 1)(u
24
+ 12u
22
+ ··· + 3u + 1)
· (u
153
+ 2u
152
+ ··· + 1528u + 649)
c
12
(u
9
+ 5u
8
+ 12u
7
+ 15u
6
+ 9u
5
− u
4
− 4u
3
− 2u
2
+ u + 1)
· (u
24
− 5u
21
+ ··· − 3u + 1)(u
153
− 10u
152
+ ··· + 14u + 17)
33
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y − 1)
9
)(y
24
+ 4y
23
+ ··· − 21y + 1)
· (y
153
+ 16y
152
+ ··· + 4705654178y − 5764801)
c
2
, c
4
((y − 1)
9
)(y
24
− 12y
23
+ ··· − y + 1)
· (y
153
− 76y
152
+ ··· + 169142y − 2401)
c
3
, c
8
y
9
(y
24
+ 12y
23
+ ··· − y + 1)
· (y
153
+ 69y
152
+ ··· − 16338911232y − 629407744)
c
5
(y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y − 1)
· (y
24
− 5y
23
+ ··· − 6y
2
+ 1)
· (y
153
+ 3y
152
+ ··· − 3235076783y − 231009601)
c
6
, c
9
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
− 15y
4
+ 22y
2
+ 13y − 1)
· (y
24
+ 19y
23
+ ··· + 24y + 1)
· (y
153
+ 99y
152
+ ··· − 548780483y − 12666481)
c
7
, c
11
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y − 1)
· (y
24
+ 24y
23
+ ··· + 19y + 1)
· (y
153
+ 96y
152
+ ··· − 17206606y − 421201)
c
10
(y
9
− 5y
8
+ 12y
7
− 15y
6
+ 9y
5
+ y
4
− 4y
3
+ 2y
2
+ y − 1)
· (y
24
− 12y
23
+ ··· − 12y + 1)
· (y
153
− 40y
152
+ ··· + 18060550885y − 196756729)
c
12
(y
9
− y
8
+ 12y
7
− 7y
6
+ 37y
5
+ y
4
− 10y
2
+ 5y − 1)
· (y
24
− 6y
22
+ ··· − 5y + 1)(y
153
− 8y
152
+ ··· − 9698y − 289)
34
