12n
0126
(K12n
0126
)
A knot diagram
1
Linearized knot diagam
3 5 8 2 10 11 3 6 12 8 1 9
Solving Sequence
3,8 7,11
6 9 10 5 2 1 4 12
c
7
c
6
c
8
c
10
c
5
c
2
c
1
c
4
c
12
c
3
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.07079 × 10
303
u
80
+ 1.55900 × 10
304
u
79
+ ··· + 4.90378 × 10
306
b − 8.03703 × 10
306
,
1.46094 × 10
304
u
80
− 6.01646 × 10
304
u
79
+ ··· + 4.90378 × 10
306
a − 3.48928 × 10
307
,
u
81
− 3u
80
+ ··· + 1024u + 1024i
I
u
2
= hb, a
2
− 3au + 5a − 21u + 34, u
2
− u − 1i
I
v
1
= ha, −v
2
+ b + 3v −1, v
4
− 5v
3
+ 7v
2
− 2v + 1i
I
v
2
= ha, −3v
5
− 38v
4
− 14v
3
− 295v
2
+ 67b − 19v −65, v
6
+ 8v
4
+ 2v
3
+ 4v
2
+ v + 1i
* 4 irreducible components of dim
C
= 0, with total 95 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−6.07 × 10
303
u
80
+ 1.56 × 10
304
u
79
+ · · · + 4.90 × 10
306
b − 8.04 ×
10
306
, 1.46 × 10
304
u
80
− 6.02 × 10
304
u
79
+ · · · + 4.90 × 10
306
a − 3.49 ×
10
307
, u
81
− 3u
80
+ · · · + 1024u + 1024i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
−u
2
a
11
=
−0.00297921u
80
+ 0.0122690u
79
+ ··· − 18.5060u + 7.11548
0.00123798u
80
− 0.00317918u
79
+ ··· + 8.06983u + 1.63894
a
6
=
0.00291408u
80
− 0.00699880u
79
+ ··· − 21.8367u + 36.3426
−0.000604359u
80
+ 0.00154234u
79
+ ··· − 5.55867u − 0.574802
a
9
=
−0.00467296u
80
+ 0.0119450u
79
+ ··· − 39.3868u − 6.00265
−0.00154134u
80
+ 0.00547407u
79
+ ··· − 6.57065u + 2.38699
a
10
=
−0.00421719u
80
+ 0.0154482u
79
+ ··· − 26.5758u + 5.47653
0.00123798u
80
− 0.00317918u
79
+ ··· + 8.06983u + 1.63894
a
5
=
−0.00342207u
80
+ 0.0108220u
79
+ ··· − 17.4933u − 1.23720
0.00111382u
80
− 0.00415508u
79
+ ··· + 3.94295u − 2.65104
a
2
=
0.00230825u
80
− 0.00666691u
79
+ ··· + 13.5504u + 3.88824
0.00111382u
80
− 0.00415508u
79
+ ··· + 3.94295u − 2.65104
a
1
=
0.00230825u
80
− 0.00666691u
79
+ ··· + 13.5504u + 3.88824
0.00154134u
80
− 0.00547407u
79
+ ··· + 6.57065u − 2.38699
a
4
=
−u
u
a
12
=
−0.00259882u
80
+ 0.0103269u
79
+ ··· − 11.5768u + 3.13075
0.00426527u
80
− 0.0133743u
79
+ ··· + 18.6658u − 0.457794
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0207517u
80
− 0.0712635u
79
+ ··· + 7.67115u + 25.2859
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
81
+ 33u
80
+ ··· + 130u + 1
c
2
, c
4
u
81
− 13u
80
+ ··· − 12u + 1
c
3
, c
7
u
81
− 3u
80
+ ··· + 1024u + 1024
c
5
u
81
+ 5u
80
+ ··· − 47488u + 22208
c
6
u
81
+ u
80
+ ··· + 8905262u + 2124511
c
8
u
81
− 4u
80
+ ··· − 5u + 1
c
9
, c
12
u
81
+ 4u
80
+ ··· + 83u − 1
c
10
u
81
+ 8u
80
+ ··· + 256u + 16
c
11
u
81
+ 30u
80
+ ··· + 6303u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
81
+ 43y
80
+ ··· + 5274y −1
c
2
, c
4
y
81
− 33y
80
+ ··· + 130y −1
c
3
, c
7
y
81
+ 57y
80
+ ··· − 27787264y −1048576
c
5
y
81
+ 103y
80
+ ··· − 19451522048y −493195264
c
6
y
81
+ 47y
80
+ ··· + 59668081079090y −4513546989121
c
8
y
81
− 6y
80
+ ··· + 11y −1
c
9
, c
12
y
81
+ 30y
80
+ ··· + 6303y −1
c
10
y
81
− 20y
80
+ ··· − 1152y −256
c
11
y
81
+ 46y
80
+ ··· + 39786411y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.890661 + 0.321140I
a = 0.442794 − 0.506116I
b = −1.003170 − 0.678335I
−3.72961 + 3.73093I 0
u = 0.890661 − 0.321140I
a = 0.442794 + 0.506116I
b = −1.003170 + 0.678335I
−3.72961 − 3.73093I 0
u = −0.880183 + 0.328930I
a = −0.192285 + 0.385420I
b = −0.519092 + 0.581351I
−2.15630 + 0.07606I 0
u = −0.880183 − 0.328930I
a = −0.192285 − 0.385420I
b = −0.519092 − 0.581351I
−2.15630 − 0.07606I 0
u = 0.336499 + 0.810387I
a = −2.50423 + 0.47126I
b = −0.722560 + 0.702901I
−4.60609 − 1.52975I −9.48461 + 4.54719I
u = 0.336499 − 0.810387I
a = −2.50423 − 0.47126I
b = −0.722560 − 0.702901I
−4.60609 + 1.52975I −9.48461 − 4.54719I
u = −0.086690 + 1.153850I
a = 1.217480 + 0.665727I
b = 0.759691 − 0.320662I
1.73887 + 0.56914I 0
u = −0.086690 − 1.153850I
a = 1.217480 − 0.665727I
b = 0.759691 + 0.320662I
1.73887 − 0.56914I 0
u = −0.439042 + 1.154740I
a = 0.732667 − 0.568454I
b = 0.668186 + 0.622788I
0.95414 + 4.42889I 0
u = −0.439042 − 1.154740I
a = 0.732667 + 0.568454I
b = 0.668186 − 0.622788I
0.95414 − 4.42889I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.757611 + 0.003546I
a = −0.24323 − 2.40067I
b = −0.675714 + 1.029340I
−0.12016 + 3.83503I −2.19897 − 9.50011I
u = 0.757611 − 0.003546I
a = −0.24323 + 2.40067I
b = −0.675714 − 1.029340I
−0.12016 − 3.83503I −2.19897 + 9.50011I
u = −0.123794 + 1.279290I
a = −1.50264 − 0.27690I
b = −1.68690 − 0.59992I
0.90648 + 3.26112I 0
u = −0.123794 − 1.279290I
a = −1.50264 + 0.27690I
b = −1.68690 + 0.59992I
0.90648 − 3.26112I 0
u = −0.239752 + 1.287670I
a = 0.863701 − 0.766311I
b = 0.941346 − 0.469197I
0.58736 − 1.68614I 0
u = −0.239752 − 1.287670I
a = 0.863701 + 0.766311I
b = 0.941346 + 0.469197I
0.58736 + 1.68614I 0
u = 1.357180 + 0.050552I
a = 0.0152362 − 0.1308150I
b = 1.112340 + 0.692920I
2.74432 + 4.49163I 0
u = 1.357180 − 0.050552I
a = 0.0152362 + 0.1308150I
b = 1.112340 − 0.692920I
2.74432 − 4.49163I 0
u = 0.616988 + 0.161976I
a = −0.42521 + 1.42820I
b = 0.910146 − 0.634484I
1.29375 − 1.45245I 3.62930 + 4.86424I
u = 0.616988 − 0.161976I
a = −0.42521 − 1.42820I
b = 0.910146 + 0.634484I
1.29375 + 1.45245I 3.62930 − 4.86424I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.077263 + 0.631820I
a = 0.116121 − 0.173911I
b = −0.297655 − 1.305260I
−5.47007 − 0.37522I −3.64589 + 3.20724I
u = 0.077263 − 0.631820I
a = 0.116121 + 0.173911I
b = −0.297655 + 1.305260I
−5.47007 + 0.37522I −3.64589 − 3.20724I
u = −0.455347 + 0.441128I
a = −1.71279 − 1.55684I
b = 0.569120 − 0.233874I
−1.004280 − 0.810007I −4.84130 − 2.46574I
u = −0.455347 − 0.441128I
a = −1.71279 + 1.55684I
b = 0.569120 + 0.233874I
−1.004280 + 0.810007I −4.84130 + 2.46574I
u = −0.020461 + 0.617454I
a = −0.073029 − 0.151006I
b = 0.391395 + 1.125760I
−1.20619 + 3.00339I 2.21341 − 3.98452I
u = −0.020461 − 0.617454I
a = −0.073029 + 0.151006I
b = 0.391395 − 1.125760I
−1.20619 − 3.00339I 2.21341 + 3.98452I
u = −0.612334
a = −0.700707
b = −0.112219
−1.00318 −10.1710
u = −0.154661 + 1.382630I
a = −0.18086 − 1.44008I
b = −0.018338 + 0.694246I
3.68961 + 0.58365I 0
u = −0.154661 − 1.382630I
a = −0.18086 + 1.44008I
b = −0.018338 − 0.694246I
3.68961 − 0.58365I 0
u = −0.603292 + 0.010555I
a = −1.93148 − 11.47890I
b = −0.015568 + 0.155944I
−1.02453 − 2.05291I −171.972 + 28.532I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.603292 − 0.010555I
a = −1.93148 + 11.47890I
b = −0.015568 − 0.155944I
−1.02453 + 2.05291I −171.972 − 28.532I
u = −0.277078 + 1.371800I
a = 0.68222 + 1.38332I
b = 0.260117 − 0.634813I
3.45045 + 5.35632I 0
u = −0.277078 − 1.371800I
a = 0.68222 − 1.38332I
b = 0.260117 + 0.634813I
3.45045 − 5.35632I 0
u = 0.50450 + 1.33076I
a = −1.49367 − 0.17378I
b = −1.60038 + 1.10707I
−0.35544 − 9.04141I 0
u = 0.50450 − 1.33076I
a = −1.49367 + 0.17378I
b = −1.60038 − 1.10707I
−0.35544 + 9.04141I 0
u = −0.00539 + 1.42943I
a = −1.054200 + 0.533535I
b = −0.975011 + 0.566121I
−0.36837 − 7.06216I 0
u = −0.00539 − 1.42943I
a = −1.054200 − 0.533535I
b = −0.975011 − 0.566121I
−0.36837 + 7.06216I 0
u = 0.05609 + 1.43328I
a = −0.951617 + 0.465595I
b = −0.99821 + 1.90356I
5.23560 + 2.02485I 0
u = 0.05609 − 1.43328I
a = −0.951617 − 0.465595I
b = −0.99821 − 1.90356I
5.23560 − 2.02485I 0
u = −0.060321 + 0.542689I
a = −0.1220830 + 0.0599037I
b = −0.495796 − 1.199200I
−3.86039 + 7.78753I 2.42285 − 9.44743I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.060321 − 0.542689I
a = −0.1220830 − 0.0599037I
b = −0.495796 + 1.199200I
−3.86039 − 7.78753I 2.42285 + 9.44743I
u = −0.21037 + 1.44375I
a = −1.271590 + 0.097495I
b = −0.747773 − 0.139398I
4.09035 + 3.09672I 0
u = −0.21037 − 1.44375I
a = −1.271590 − 0.097495I
b = −0.747773 + 0.139398I
4.09035 − 3.09672I 0
u = 0.35709 + 1.43000I
a = −0.667194 − 0.762996I
b = −1.46916 − 1.65478I
4.66300 − 8.19652I 0
u = 0.35709 − 1.43000I
a = −0.667194 + 0.762996I
b = −1.46916 + 1.65478I
4.66300 + 8.19652I 0
u = 1.45915 + 0.22710I
a = −0.1005500 + 0.0324263I
b = −1.114300 − 0.737613I
1.48186 + 10.21890I 0
u = 1.45915 − 0.22710I
a = −0.1005500 − 0.0324263I
b = −1.114300 + 0.737613I
1.48186 − 10.21890I 0
u = −0.458462 + 0.233945I
a = 1.32051 − 7.34173I
b = 0.190371 + 0.428906I
−1.11518 + 1.63608I −22.5154 − 16.4209I
u = −0.458462 − 0.233945I
a = 1.32051 + 7.34173I
b = 0.190371 − 0.428906I
−1.11518 − 1.63608I −22.5154 + 16.4209I
u = −1.42270 + 0.44570I
a = 0.0501638 − 0.1205880I
b = 0.955191 + 0.178009I
1.96531 − 1.49483I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42270 − 0.44570I
a = 0.0501638 + 0.1205880I
b = 0.955191 − 0.178009I
1.96531 + 1.49483I 0
u = 0.16545 + 1.48707I
a = 1.079910 + 0.634140I
b = 1.82794 + 1.28596I
7.13557 − 1.25582I 0
u = 0.16545 − 1.48707I
a = 1.079910 − 0.634140I
b = 1.82794 − 1.28596I
7.13557 + 1.25582I 0
u = 0.25605 + 1.48232I
a = 1.292240 − 0.234967I
b = 1.47994 − 1.70675I
6.96738 − 5.09561I 0
u = 0.25605 − 1.48232I
a = 1.292240 + 0.234967I
b = 1.47994 + 1.70675I
6.96738 + 5.09561I 0
u = 0.412488 + 0.213180I
a = −0.80784 − 1.70565I
b = 0.531910 + 0.798490I
1.15026 + 1.50439I 2.46877 − 2.61626I
u = 0.412488 − 0.213180I
a = −0.80784 + 1.70565I
b = 0.531910 − 0.798490I
1.15026 − 1.50439I 2.46877 + 2.61626I
u = −1.54169 + 0.19466I
a = −0.1029750 + 0.0228323I
b = −0.958935 − 0.306788I
1.52644 + 3.83350I 0
u = −1.54169 − 0.19466I
a = −0.1029750 − 0.0228323I
b = −0.958935 + 0.306788I
1.52644 − 3.83350I 0
u = −0.110600 + 0.423339I
a = −8.26925 + 1.55023I
b = −0.443406 − 0.498696I
−1.63060 − 2.73282I 5.99931 − 8.61315I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.110600 − 0.423339I
a = −8.26925 − 1.55023I
b = −0.443406 + 0.498696I
−1.63060 + 2.73282I 5.99931 + 8.61315I
u = 1.59287 + 0.05128I
a = −0.0398353 − 0.0628798I
b = −0.149905 − 0.238308I
−8.92096 − 1.95711I 0
u = 1.59287 − 0.05128I
a = −0.0398353 + 0.0628798I
b = −0.149905 + 0.238308I
−8.92096 + 1.95711I 0
u = 0.66734 + 1.50573I
a = 1.297240 + 0.255032I
b = 1.33285 − 1.17939I
7.29123 − 11.70270I 0
u = 0.66734 − 1.50573I
a = 1.297240 − 0.255032I
b = 1.33285 + 1.17939I
7.29123 + 11.70270I 0
u = −0.029747 + 0.351694I
a = −2.43391 − 1.81274I
b = −0.792812 + 0.170600I
−0.39491 + 2.82152I 0.62625 − 4.26826I
u = −0.029747 − 0.351694I
a = −2.43391 + 1.81274I
b = −0.792812 − 0.170600I
−0.39491 − 2.82152I 0.62625 + 4.26826I
u = 0.75699 + 1.47497I
a = −1.302640 − 0.324763I
b = −1.28571 + 1.12380I
5.4200 − 17.9748I 0
u = 0.75699 − 1.47497I
a = −1.302640 + 0.324763I
b = −1.28571 − 1.12380I
5.4200 + 17.9748I 0
u = −0.36850 + 1.64315I
a = 1.187110 + 0.042447I
b = 1.42144 + 0.91410I
9.10043 + 4.86820I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.36850 − 1.64315I
a = 1.187110 − 0.042447I
b = 1.42144 − 0.91410I
9.10043 − 4.86820I 0
u = −0.83647 + 1.48482I
a = 0.742052 − 0.280001I
b = 0.993630 + 0.569689I
5.25967 + 9.70670I 0
u = −0.83647 − 1.48482I
a = 0.742052 + 0.280001I
b = 0.993630 − 0.569689I
5.25967 − 9.70670I 0
u = −0.51625 + 1.63587I
a = −1.196860 + 0.057613I
b = −1.34804 − 0.90499I
7.63873 + 11.12540I 0
u = −0.51625 − 1.63587I
a = −1.196860 − 0.057613I
b = −1.34804 + 0.90499I
7.63873 − 11.12540I 0
u = −0.67879 + 1.59644I
a = −0.797876 + 0.245149I
b = −0.988493 − 0.473850I
6.21314 + 4.26930I 0
u = −0.67879 − 1.59644I
a = −0.797876 − 0.245149I
b = −0.988493 + 0.473850I
6.21314 − 4.26930I 0
u = 0.63390 + 1.61836I
a = 0.704523 + 0.328418I
b = 1.173510 − 0.194303I
7.80552 − 2.77364I 0
u = 0.63390 − 1.61836I
a = 0.704523 − 0.328418I
b = 1.173510 + 0.194303I
7.80552 + 2.77364I 0
u = 0.42765 + 1.74880I
a = −0.765788 − 0.255230I
b = −1.156090 + 0.105237I
8.06491 + 2.92024I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.42765 − 1.74880I
a = −0.765788 + 0.255230I
b = −1.156090 − 0.105237I
8.06491 − 2.92024I 0
13
II. I
u
2
= hb, a
2
− 3au + 5a − 21u + 34, u
2
− u − 1i
(i) Arc colorings
a
3
=
0
u
a
8
=
1
0
a
7
=
1
−u − 1
a
11
=
a
0
a
6
=
au − 2a + 8u − 12
−u − 1
a
9
=
a − 4u + 5
3u + 2
a
10
=
a
0
a
5
=
1
−u − 1
a
2
=
u
−u − 1
a
1
=
u
−3u − 2
a
4
=
−u
u
a
12
=
−5au − 2a
21au + 13a
(ii) Obstruction class = 1
(iii) Cusp Shapes = −159au − 92a − 21u + 24
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
− 3u + 1)
2
c
2
, c
3
(u
2
+ u − 1)
2
c
4
, c
7
(u
2
− u − 1)
2
c
5
, c
6
u
4
+ 3u
3
+ 8u
2
+ 3u + 1
c
8
(u
2
+ 3u + 1)
2
c
9
(u
2
+ u + 1)
2
c
10
u
4
c
11
, c
12
(u
2
− u + 1)
2
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
(y
2
− 7y + 1)
2
c
2
, c
3
, c
4
c
7
(y
2
− 3y + 1)
2
c
5
, c
6
y
4
+ 7y
3
+ 48y
2
+ 7y + 1
c
9
, c
11
, c
12
(y
2
+ y + 1)
2
c
10
y
4
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.618034
a = −3.42705 + 5.93583I
b = 0
−0.98696 + 2.02988I 15.5000 + 37.2022I
u = −0.618034
a = −3.42705 − 5.93583I
b = 0
−0.98696 − 2.02988I 15.5000 − 37.2022I
u = 1.61803
a = −0.072949 + 0.126351I
b = 0
−8.88264 + 2.02988I 15.5000 − 44.1304I
u = 1.61803
a = −0.072949 − 0.126351I
b = 0
−8.88264 − 2.02988I 15.5000 + 44.1304I
17
III. I
v
1
= ha, −v
2
+ b + 3v − 1, v
4
− 5v
3
+ 7v
2
− 2v + 1i
(i) Arc colorings
a
3
=
v
0
a
8
=
1
0
a
7
=
1
0
a
11
=
0
v
2
− 3v + 1
a
6
=
1
−v
3
+ 4v
2
− 4v
a
9
=
−v
3
+ 4v
2
− 4v + 1
v
3
− 5v
2
+ 7v − 2
a
10
=
−v
2
+ 3v − 1
v
2
− 3v + 1
a
5
=
−v
2
+ 3v − 1
−v
3
+ 5v
2
− 7v + 2
a
2
=
v
2
− 2v + 1
v
3
− 5v
2
+ 7v − 2
a
1
=
v
2
− 3v + 1
v
3
− 5v
2
+ 7v − 2
a
4
=
v
0
a
12
=
−v + 2
v − 3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2v
3
− 6v
2
+ 11v − 17
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
4
c
3
, c
7
u
4
c
4
(u + 1)
4
c
5
u
4
+ 3u
3
+ 4u
2
+ 3u + 2
c
6
, c
9
u
4
+ u
2
+ u + 1
c
8
u
4
+ 2u
3
+ 3u
2
+ u + 1
c
10
, c
12
u
4
+ u
2
− u + 1
c
11
u
4
− 2u
3
+ 3u
2
− u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y − 1)
4
c
3
, c
7
y
4
c
5
y
4
− y
3
+ 2y
2
+ 7y + 4
c
6
, c
9
, c
10
c
12
y
4
+ 2y
3
+ 3y
2
+ y + 1
c
8
, c
11
y
4
+ 2y
3
+ 7y
2
+ 5y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = 0.100768 + 0.400532I
a = 0
b = 0.547424 − 1.120870I
−4.26996 − 7.64338I −15.0849 + 3.8174I
v = 0.100768 − 0.400532I
a = 0
b = 0.547424 + 1.120870I
−4.26996 + 7.64338I −15.0849 − 3.8174I
v = 2.39923 + 0.32564I
a = 0
b = −0.547424 + 0.585652I
−0.66484 − 1.39709I 1.58487 + 5.38446I
v = 2.39923 − 0.32564I
a = 0
b = −0.547424 − 0.585652I
−0.66484 + 1.39709I 1.58487 − 5.38446I
21
IV. I
v
2
= ha, −3v
5
− 38v
4
+ · · · + 67b − 65, v
6
+ 8v
4
+ 2v
3
+ 4v
2
+ v + 1i
(i) Arc colorings
a
3
=
v
0
a
8
=
1
0
a
7
=
1
0
a
11
=
0
0.0447761v
5
+ 0.567164v
4
+ ··· + 0.283582v + 0.970149
a
6
=
1
−0.373134v
5
− 0.0597015v
4
+ ··· − 2.02985v − 1.41791
a
9
=
−0.373134v
5
− 0.0597015v
4
+ ··· − 2.02985v − 0.417910
v
5
+ 8v
3
+ 2v
2
+ 4v + 1
a
10
=
−0.0447761v
5
− 0.567164v
4
+ ··· − 0.283582v − 0.970149
0.0447761v
5
+ 0.567164v
4
+ ··· + 0.283582v + 0.970149
a
5
=
0.626866v
5
− 0.0597015v
4
+ ··· + 1.97015v + 0.582090
−v
5
− 8v
3
− 2v
2
− 4v − 1
a
2
=
−0.626866v
5
+ 0.0597015v
4
+ ··· − 0.970149v − 0.582090
v
5
+ 8v
3
+ 2v
2
+ 4v + 1
a
1
=
−0.626866v
5
+ 0.0597015v
4
+ ··· − 1.97015v − 0.582090
v
5
+ 8v
3
+ 2v
2
+ 4v + 1
a
4
=
v
0
a
12
=
−0.567164v
5
+ 0.149254v
4
+ ··· − 0.925373v − 0.955224
0.776119v
5
+ 0.164179v
4
+ ··· + 1.58209v + 2.14925
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
85
67
v
5
−
27
67
v
4
−
620
67
v
3
−
363
67
v
2
+
154
67
v −
859
67
22
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u − 1)
6
c
3
, c
7
u
6
c
4
(u + 1)
6
c
5
(u
3
− u
2
+ 1)
2
c
6
, c
9
u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1
c
8
u
6
+ 3u
5
+ 4u
4
+ 2u
3
+ 1
c
10
, c
12
u
6
+ u
5
+ 2u
4
+ 2u
3
+ 2u
2
+ 2u + 1
c
11
u
6
− 3u
5
+ 4u
4
− 2u
3
+ 1
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y − 1)
6
c
3
, c
7
y
6
c
5
(y
3
− y
2
+ 2y − 1)
2
c
6
, c
9
, c
10
c
12
y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1
c
8
, c
11
y
6
− y
5
+ 4y
4
− 2y
3
+ 8y
2
+ 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
2
√
−1(vol +
√
−1CS) Cusp shape
v = 0.175218 + 0.614017I
a = 0
b = −0.498832 + 1.001300I
−1.91067 − 2.82812I −8.91986 + 1.90022I
v = 0.175218 − 0.614017I
a = 0
b = −0.498832 − 1.001300I
−1.91067 + 2.82812I −8.91986 − 1.90022I
v = −0.307599 + 0.479689I
a = 0
b = 0.284920 − 1.115140I
−6.04826 −14.4399 + 2.5036I
v = −0.307599 − 0.479689I
a = 0
b = 0.284920 + 1.115140I
−6.04826 −14.4399 − 2.5036I
v = 0.13238 + 2.74513I
a = 0
b = 0.713912 + 0.305839I
−1.91067 − 2.82812I −14.1402 + 3.6935I
v = 0.13238 − 2.74513I
a = 0
b = 0.713912 − 0.305839I
−1.91067 + 2.82812I −14.1402 − 3.6935I
25
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
10
)(u
2
− 3u + 1)
2
(u
81
+ 33u
80
+ ··· + 130u + 1)
c
2
((u − 1)
10
)(u
2
+ u − 1)
2
(u
81
− 13u
80
+ ··· − 12u + 1)
c
3
u
10
(u
2
+ u − 1)
2
(u
81
− 3u
80
+ ··· + 1024u + 1024)
c
4
((u + 1)
10
)(u
2
− u − 1)
2
(u
81
− 13u
80
+ ··· − 12u + 1)
c
5
(u
3
− u
2
+ 1)
2
(u
4
+ 3u
3
+ 4u
2
+ 3u + 2)(u
4
+ 3u
3
+ 8u
2
+ 3u + 1)
· (u
81
+ 5u
80
+ ··· − 47488u + 22208)
c
6
(u
4
+ u
2
+ u + 1)(u
4
+ 3u
3
+ 8u
2
+ 3u + 1)
· (u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1)
· (u
81
+ u
80
+ ··· + 8905262u + 2124511)
c
7
u
10
(u
2
− u − 1)
2
(u
81
− 3u
80
+ ··· + 1024u + 1024)
c
8
(u
2
+ 3u + 1)
2
(u
4
+ 2u
3
+ 3u
2
+ u + 1)(u
6
+ 3u
5
+ 4u
4
+ 2u
3
+ 1)
· (u
81
− 4u
80
+ ··· − 5u + 1)
c
9
(u
2
+ u + 1)
2
(u
4
+ u
2
+ u + 1)(u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1)
· (u
81
+ 4u
80
+ ··· + 83u − 1)
c
10
u
4
(u
4
+ u
2
− u + 1)(u
6
+ u
5
+ 2u
4
+ 2u
3
+ 2u
2
+ 2u + 1)
· (u
81
+ 8u
80
+ ··· + 256u + 16)
c
11
(u
2
− u + 1)
2
(u
4
− 2u
3
+ 3u
2
− u + 1)(u
6
− 3u
5
+ 4u
4
− 2u
3
+ 1)
· (u
81
+ 30u
80
+ ··· + 6303u − 1)
c
12
(u
2
− u + 1)
2
(u
4
+ u
2
− u + 1)(u
6
+ u
5
+ 2u
4
+ 2u
3
+ 2u
2
+ 2u + 1)
· (u
81
+ 4u
80
+ ··· + 83u − 1)
26
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y − 1)
10
)(y
2
− 7y + 1)
2
(y
81
+ 43y
80
+ ··· + 5274y − 1)
c
2
, c
4
((y − 1)
10
)(y
2
− 3y + 1)
2
(y
81
− 33y
80
+ ··· + 130y − 1)
c
3
, c
7
y
10
(y
2
− 3y + 1)
2
(y
81
+ 57y
80
+ ··· − 2.77873 × 10
7
y − 1048576)
c
5
((y
3
− y
2
+ 2y − 1)
2
)(y
4
− y
3
+ 2y
2
+ 7y + 4)(y
4
+ 7y
3
+ ··· + 7y + 1)
· (y
81
+ 103y
80
+ ··· − 19451522048y − 493195264)
c
6
(y
4
+ 2y
3
+ 3y
2
+ y + 1)(y
4
+ 7y
3
+ 48y
2
+ 7y + 1)
· (y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1)
· (y
81
+ 47y
80
+ ··· + 59668081079090y − 4513546989121)
c
8
((y
2
− 7y + 1)
2
)(y
4
+ 2y
3
+ ··· + 5y + 1)(y
6
− y
5
+ ··· + 8y
2
+ 1)
· (y
81
− 6y
80
+ ··· + 11y − 1)
c
9
, c
12
(y
2
+ y + 1)
2
(y
4
+ 2y
3
+ 3y
2
+ y + 1)(y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1)
· (y
81
+ 30y
80
+ ··· + 6303y − 1)
c
10
y
4
(y
4
+ 2y
3
+ 3y
2
+ y + 1)(y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1)
· (y
81
− 20y
80
+ ··· − 1152y − 256)
c
11
((y
2
+ y + 1)
2
)(y
4
+ 2y
3
+ ··· + 5y + 1)(y
6
− y
5
+ ··· + 8y
2
+ 1)
· (y
81
+ 46y
80
+ ··· + 39786411y − 1)
27
