12a
0768
(K12a
0768
)
A knot diagram
1
Linearized knot diagam
3 8 10 12 9 11 2 6 1 7 4 5
Solving Sequence
2,7
8 3
1,11
6 9 5 10 4 12
c
7
c
2
c
1
c
6
c
8
c
5
c
10
c
3
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.73657 × 10
241
u
120
+ 4.38054 × 10
242
u
119
+ ··· + 2.91273 × 10
242
b + 6.42953 × 10
244
,
− 3.27173 × 10
245
u
120
+ 6.31064 × 10
244
u
119
+ ··· + 2.82535 × 10
244
a + 3.29447 × 10
247
,
u
121
− u
120
+ ··· + 69u + 97i
I
u
2
= h4116u
29
− 337u
28
+ ··· + 2119b − 4263, 3524u
29
− 3466u
28
+ ··· + 2119a − 4558,
u
30
− 9u
28
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 151 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−7.74 × 10
241
u
120
+ 4.38 × 10
242
u
119
+ · · · + 2.91 × 10
242
b + 6.43 ×
10
244
, −3.27 × 10
245
u
120
+ 6.31 × 10
244
u
119
+ · · · + 2.83 × 10
244
a + 3.29 ×
10
247
, u
121
− u
120
+ · · · + 69u + 97i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
11.5799u
120
− 2.23358u
119
+ ··· − 1801.60u − 1166.04
0.265612u
120
− 1.50393u
119
+ ··· − 542.124u − 220.739
a
6
=
1.69838u
120
− 1.47920u
119
+ ··· − 589.566u − 269.583
2.12353u
120
+ 0.809084u
119
+ ··· + 114.602u − 39.3418
a
9
=
12.2633u
120
− 2.76134u
119
+ ··· − 2025.46u − 1280.53
1.73056u
120
− 2.27706u
119
+ ··· − 906.620u − 425.142
a
5
=
12.4360u
120
+ 1.22543u
119
+ ··· − 796.514u − 810.793
4.89497u
120
+ 0.173831u
119
+ ··· − 421.051u − 361.017
a
10
=
11.3143u
120
− 0.729653u
119
+ ··· − 1259.47u − 945.303
0.265612u
120
− 1.50393u
119
+ ··· − 542.124u − 220.739
a
4
=
21.7193u
120
− 1.04277u
119
+ ··· − 2277.03u − 1787.84
4.31254u
120
− 1.71411u
119
+ ··· − 913.787u − 535.612
a
12
=
−21.9248u
120
− 0.137626u
119
+ ··· + 1841.17u + 1620.20
−6.45237u
120
+ 0.992236u
119
+ ··· + 856.175u + 596.164
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.96927u
120
− 2.45619u
119
+ ··· − 1122.54u − 555.660
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
121
+ 55u
120
+ ··· + 178585u + 9409
c
2
, c
7
u
121
+ u
120
+ ··· + 69u − 97
c
3
u
121
− 10u
119
+ ··· − 165094u − 9137
c
4
, c
11
, c
12
u
121
− 3u
120
+ ··· + 5u − 2
c
5
, c
8
u
121
− 3u
120
+ ··· − 837975u + 184601
c
6
, c
10
u
121
− 2u
120
+ ··· − 1722u + 181
c
9
u
121
− 7u
120
+ ··· − 1422961227u + 245450119
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
121
+ 37y
120
+ ··· − 3380797875y −88529281
c
2
, c
7
y
121
− 55y
120
+ ··· + 178585y −9409
c
3
y
121
− 20y
120
+ ··· + 9314834924y −83484769
c
4
, c
11
, c
12
y
121
− 127y
120
+ ··· − 235y −4
c
5
, c
8
y
121
+ 99y
120
+ ··· − 1160560440125y −34077529201
c
6
, c
10
y
121
+ 66y
120
+ ··· − 951918y −32761
c
9
y
121
− 57y
120
+ ··· + 1931211107502902003y −60245760917114161
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.876286 + 0.467559I
a = −1.03412 + 1.96518I
b = −0.13388 + 1.60777I
−2.33587 + 1.90742I 0
u = −0.876286 − 0.467559I
a = −1.03412 − 1.96518I
b = −0.13388 − 1.60777I
−2.33587 − 1.90742I 0
u = 0.628684 + 0.789411I
a = −0.328672 − 0.857919I
b = 0.991013 − 0.403719I
5.65841 + 2.00130I 0
u = 0.628684 − 0.789411I
a = −0.328672 + 0.857919I
b = 0.991013 + 0.403719I
5.65841 − 2.00130I 0
u = −0.785193 + 0.575255I
a = 1.09177 + 1.22957I
b = −0.499932 + 0.920719I
9.17779 − 1.78272I 0
u = −0.785193 − 0.575255I
a = 1.09177 − 1.22957I
b = −0.499932 − 0.920719I
9.17779 + 1.78272I 0
u = 1.028380 + 0.053307I
a = 0.10666 + 2.50499I
b = 0.392925 + 1.276220I
−0.69195 + 4.37118I 0
u = 1.028380 − 0.053307I
a = 0.10666 − 2.50499I
b = 0.392925 − 1.276220I
−0.69195 − 4.37118I 0
u = −0.877621 + 0.409911I
a = 2.08542 − 1.40668I
b = −0.130887 − 0.851392I
0.040148 − 0.611165I 0
u = −0.877621 − 0.409911I
a = 2.08542 + 1.40668I
b = −0.130887 + 0.851392I
0.040148 + 0.611165I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.555036 + 0.786400I
a = −0.562871 + 0.869067I
b = 1.172490 + 0.545130I
12.53200 − 5.36104I 0
u = −0.555036 − 0.786400I
a = −0.562871 − 0.869067I
b = 1.172490 − 0.545130I
12.53200 + 5.36104I 0
u = 0.382005 + 0.969451I
a = −0.001280 + 0.709004I
b = 0.558470 + 1.003670I
3.61406 + 1.95058I 0
u = 0.382005 − 0.969451I
a = −0.001280 − 0.709004I
b = 0.558470 − 1.003670I
3.61406 − 1.95058I 0
u = −0.579250 + 0.762953I
a = 0.582393 − 0.021569I
b = −0.482862 + 1.141440I
4.58445 − 5.30494I 0
u = −0.579250 − 0.762953I
a = 0.582393 + 0.021569I
b = −0.482862 − 1.141440I
4.58445 + 5.30494I 0
u = 0.924481 + 0.502615I
a = 1.39982 + 1.21824I
b = −0.486699 + 1.149380I
−1.93253 − 2.60114I 0
u = 0.924481 − 0.502615I
a = 1.39982 − 1.21824I
b = −0.486699 − 1.149380I
−1.93253 + 2.60114I 0
u = 0.461373 + 0.946018I
a = −0.172847 + 0.415912I
b = 0.745875 + 1.200540I
10.3436 + 12.1376I 0
u = 0.461373 − 0.946018I
a = −0.172847 − 0.415912I
b = 0.745875 − 1.200540I
10.3436 − 12.1376I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.835820 + 0.434595I
a = −0.90971 − 1.10559I
b = −0.66766 − 1.49732I
1.34302 + 1.75143I 0
u = 0.835820 − 0.434595I
a = −0.90971 + 1.10559I
b = −0.66766 + 1.49732I
1.34302 − 1.75143I 0
u = −0.444869 + 0.961457I
a = −0.067492 − 0.520847I
b = 0.641967 − 1.142950I
3.37355 − 7.82461I 0
u = −0.444869 − 0.961457I
a = −0.067492 + 0.520847I
b = 0.641967 + 1.142950I
3.37355 + 7.82461I 0
u = 0.952588 + 0.467385I
a = −1.11573 − 2.35287I
b = 0.49581 − 1.52570I
0.89960 − 5.41363I 0
u = 0.952588 − 0.467385I
a = −1.11573 + 2.35287I
b = 0.49581 + 1.52570I
0.89960 + 5.41363I 0
u = 0.858991 + 0.373902I
a = 0.271095 − 0.014070I
b = 0.501503 + 0.468384I
−1.31179 − 1.12224I 0
u = 0.858991 − 0.373902I
a = 0.271095 + 0.014070I
b = 0.501503 − 0.468384I
−1.31179 + 1.12224I 0
u = −0.934802
a = 0.887196
b = 0.823832
3.31166 0
u = −0.907481 + 0.567494I
a = −1.55067 + 2.95784I
b = 0.318129 + 0.986288I
8.78876 + 6.33873I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.907481 − 0.567494I
a = −1.55067 − 2.95784I
b = 0.318129 − 0.986288I
8.78876 − 6.33873I 0
u = −0.958093 + 0.481293I
a = −0.349548 + 0.404271I
b = 0.535148 − 0.271890I
−0.45371 + 4.02618I 0
u = −0.958093 − 0.481293I
a = −0.349548 − 0.404271I
b = 0.535148 + 0.271890I
−0.45371 − 4.02618I 0
u = 0.927649 + 0.017401I
a = −0.311560 − 1.244890I
b = −0.887556 + 0.155488I
6.96948 − 4.64303I 0
u = 0.927649 − 0.017401I
a = −0.311560 + 1.244890I
b = −0.887556 − 0.155488I
6.96948 + 4.64303I 0
u = 0.941684 + 0.514503I
a = −1.18628 − 2.38991I
b = 0.386899 − 1.296100I
0.79803 − 5.41123I 0
u = 0.941684 − 0.514503I
a = −1.18628 + 2.38991I
b = 0.386899 + 1.296100I
0.79803 + 5.41123I 0
u = −0.921007 + 0.557173I
a = 1.00367 − 1.24207I
b = −0.92522 − 1.12569I
2.32592 + 5.93979I 0
u = −0.921007 − 0.557173I
a = 1.00367 + 1.24207I
b = −0.92522 + 1.12569I
2.32592 − 5.93979I 0
u = −0.350745 + 0.852172I
a = −0.104211 − 1.025600I
b = 0.630751 − 0.791397I
11.40380 + 2.13821I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.350745 − 0.852172I
a = −0.104211 + 1.025600I
b = 0.630751 + 0.791397I
11.40380 − 2.13821I 0
u = −0.719109 + 0.574145I
a = 0.691803 + 0.523675I
b = 0.757134 − 0.858710I
2.91905 − 1.41856I 0
u = −0.719109 − 0.574145I
a = 0.691803 − 0.523675I
b = 0.757134 + 0.858710I
2.91905 + 1.41856I 0
u = 0.830251 + 0.391156I
a = 3.38644 + 1.37950I
b = −0.055557 + 0.599876I
7.60785 + 2.16745I 0
u = 0.830251 − 0.391156I
a = 3.38644 − 1.37950I
b = −0.055557 − 0.599876I
7.60785 − 2.16745I 0
u = 0.479627 + 0.742494I
a = 0.522768 − 0.104455I
b = −0.368163 − 1.001770I
−1.11708 + 2.95125I 0
u = 0.479627 − 0.742494I
a = 0.522768 + 0.104455I
b = −0.368163 + 1.001770I
−1.11708 − 2.95125I 0
u = 1.070760 + 0.334175I
a = 1.11644 + 1.32522I
b = 0.443247 + 1.239720I
−2.93291 − 0.35986I 0
u = 1.070760 − 0.334175I
a = 1.11644 − 1.32522I
b = 0.443247 − 1.239720I
−2.93291 + 0.35986I 0
u = 0.728022 + 0.482499I
a = 0.175720 − 0.731462I
b = −0.616716 − 1.057780I
1.51362 + 1.28957I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.728022 − 0.482499I
a = 0.175720 + 0.731462I
b = −0.616716 + 1.057780I
1.51362 − 1.28957I 0
u = −1.126030 + 0.136649I
a = 0.11797 − 2.12973I
b = 0.177424 − 1.214160I
−6.09582 − 1.01611I 0
u = −1.126030 − 0.136649I
a = 0.11797 + 2.12973I
b = 0.177424 + 1.214160I
−6.09582 + 1.01611I 0
u = 0.837251 + 0.770716I
a = 0.695837 − 0.221942I
b = −0.454504 + 0.782523I
9.66264 − 2.15233I 0
u = 0.837251 − 0.770716I
a = 0.695837 + 0.221942I
b = −0.454504 − 0.782523I
9.66264 + 2.15233I 0
u = −0.707677 + 0.891972I
a = −0.193028 + 0.625350I
b = 0.581995 + 0.488567I
5.07524 + 2.65277I 0
u = −0.707677 − 0.891972I
a = −0.193028 − 0.625350I
b = 0.581995 − 0.488567I
5.07524 − 2.65277I 0
u = −1.057440 + 0.426765I
a = 1.37614 − 1.42332I
b = 0.11276 − 1.50273I
0.959736 + 0.654295I 0
u = −1.057440 − 0.426765I
a = 1.37614 + 1.42332I
b = 0.11276 + 1.50273I
0.959736 − 0.654295I 0
u = 0.611340 + 0.968423I
a = −0.259712 − 0.474871I
b = 0.587643 − 0.851228I
11.23210 − 6.90153I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.611340 − 0.968423I
a = −0.259712 + 0.474871I
b = 0.587643 + 0.851228I
11.23210 + 6.90153I 0
u = 1.091290 + 0.353150I
a = −1.04122 − 1.67611I
b = −0.123169 − 0.278771I
6.85939 − 5.07145I 0
u = 1.091290 − 0.353150I
a = −1.04122 + 1.67611I
b = −0.123169 + 0.278771I
6.85939 + 5.07145I 0
u = 1.009210 + 0.564259I
a = −0.250923 − 1.008240I
b = 0.853707 + 0.108289I
6.25063 − 5.57396I 0
u = 1.009210 − 0.564259I
a = −0.250923 + 1.008240I
b = 0.853707 − 0.108289I
6.25063 + 5.57396I 0
u = −1.115600 + 0.304284I
a = 1.20339 − 1.05375I
b = 0.75678 − 1.26996I
2.24449 − 0.21390I 0
u = −1.115600 − 0.304284I
a = 1.20339 + 1.05375I
b = 0.75678 + 1.26996I
2.24449 + 0.21390I 0
u = −0.878670 + 0.772323I
a = 0.361367 + 0.400725I
b = −0.039707 − 0.474456I
4.22761 + 2.91062I 0
u = −0.878670 − 0.772323I
a = 0.361367 − 0.400725I
b = −0.039707 + 0.474456I
4.22761 − 2.91062I 0
u = −0.270783 + 0.776768I
a = 0.551880 + 0.363525I
b = −0.092386 + 0.752153I
0.646581 + 0.057662I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.270783 − 0.776768I
a = 0.551880 − 0.363525I
b = −0.092386 − 0.752153I
0.646581 − 0.057662I 0
u = −1.062840 + 0.508012I
a = −0.88319 + 1.97356I
b = 0.86053 + 1.13805I
−1.81072 + 6.57692I 0
u = −1.062840 − 0.508012I
a = −0.88319 − 1.97356I
b = 0.86053 − 1.13805I
−1.81072 − 6.57692I 0
u = 0.898488 + 0.772325I
a = 0.484655 − 0.655901I
b = 0.301800 + 0.793066I
9.49179 − 3.65525I 0
u = 0.898488 − 0.772325I
a = 0.484655 + 0.655901I
b = 0.301800 − 0.793066I
9.49179 + 3.65525I 0
u = 0.479958 + 0.637359I
a = 0.992882 − 0.043182I
b = −0.828420 + 0.013782I
7.76200 + 0.90081I 0
u = 0.479958 − 0.637359I
a = 0.992882 + 0.043182I
b = −0.828420 − 0.013782I
7.76200 − 0.90081I 0
u = 1.102970 + 0.503764I
a = −0.63027 − 1.96483I
b = 1.14012 − 1.07707I
3.51683 − 7.73270I 0
u = 1.102970 − 0.503764I
a = −0.63027 + 1.96483I
b = 1.14012 + 1.07707I
3.51683 + 7.73270I 0
u = −0.967783 + 0.734001I
a = −0.0906118 − 0.0915978I
b = −0.649807 + 0.075200I
4.26830 + 3.31666I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.967783 − 0.734001I
a = −0.0906118 + 0.0915978I
b = −0.649807 − 0.075200I
4.26830 − 3.31666I 0
u = 1.017900 + 0.664460I
a = −0.402680 + 0.502405I
b = −1.167080 − 0.230589I
4.46966 − 7.47764I 0
u = 1.017900 − 0.664460I
a = −0.402680 − 0.502405I
b = −1.167080 + 0.230589I
4.46966 + 7.47764I 0
u = −1.045940 + 0.653890I
a = −1.64671 + 1.40041I
b = 0.558259 + 1.194000I
3.18345 + 10.69620I 0
u = −1.045940 − 0.653890I
a = −1.64671 − 1.40041I
b = 0.558259 − 1.194000I
3.18345 − 10.69620I 0
u = −1.053880 + 0.647496I
a = −0.663406 − 0.555628I
b = −1.34657 + 0.45968I
11.0303 + 10.7709I 0
u = −1.053880 − 0.647496I
a = −0.663406 + 0.555628I
b = −1.34657 − 0.45968I
11.0303 − 10.7709I 0
u = 1.076090 + 0.621431I
a = −1.39040 − 1.41475I
b = 0.480219 − 1.111950I
−2.86776 − 8.16498I 0
u = 1.076090 − 0.621431I
a = −1.39040 + 1.41475I
b = 0.480219 + 1.111950I
−2.86776 + 8.16498I 0
u = −1.129880 + 0.567356I
a = −1.04797 + 1.34145I
b = 0.364899 + 0.870060I
−1.82164 + 4.93277I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.129880 − 0.567356I
a = −1.04797 − 1.34145I
b = 0.364899 − 0.870060I
−1.82164 − 4.93277I 0
u = 1.248140 + 0.268138I
a = 0.04522 + 1.80547I
b = −0.019964 + 1.054360I
−4.02260 − 3.43535I 0
u = 1.248140 − 0.268138I
a = 0.04522 − 1.80547I
b = −0.019964 − 1.054360I
−4.02260 + 3.43535I 0
u = 0.180834 + 0.663314I
a = 0.713938 + 0.212808I
b = −0.900032 − 0.977689I
6.04567 + 3.35460I 7.97311 − 2.93910I
u = 0.180834 − 0.663314I
a = 0.713938 − 0.212808I
b = −0.900032 + 0.977689I
6.04567 − 3.35460I 7.97311 + 2.93910I
u = −1.320090 + 0.033310I
a = −0.51815 + 1.76906I
b = −0.532315 + 1.158000I
3.75464 − 9.26467I 0
u = −1.320090 − 0.033310I
a = −0.51815 − 1.76906I
b = −0.532315 − 1.158000I
3.75464 + 9.26467I 0
u = −0.676066 + 0.065814I
a = 0.077833 − 0.593841I
b = −0.737152 + 0.602808I
0.40459 − 2.77385I −0.59107 + 8.95739I
u = −0.676066 − 0.065814I
a = 0.077833 + 0.593841I
b = −0.737152 − 0.602808I
0.40459 + 2.77385I −0.59107 − 8.95739I
u = −1.182310 + 0.615283I
a = 0.56765 − 1.99322I
b = −0.464189 − 0.971569I
8.90211 + 3.33620I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.182310 − 0.615283I
a = 0.56765 + 1.99322I
b = −0.464189 + 0.971569I
8.90211 − 3.33620I 0
u = 1.148350 + 0.678606I
a = 1.01782 + 1.85825I
b = −0.76414 + 1.29683I
8.2367 − 18.0724I 0
u = 1.148350 − 0.678606I
a = 1.01782 − 1.85825I
b = −0.76414 − 1.29683I
8.2367 + 18.0724I 0
u = −1.155810 + 0.679707I
a = 0.93692 − 1.81046I
b = −0.64751 − 1.27762I
1.19708 + 13.79540I 0
u = −1.155810 − 0.679707I
a = 0.93692 + 1.81046I
b = −0.64751 + 1.27762I
1.19708 − 13.79540I 0
u = 0.498086 + 0.428072I
a = 0.626722 − 0.268822I
b = 0.052856 + 0.818326I
−1.03941 − 1.27491I −0.72097 + 4.37315I
u = 0.498086 − 0.428072I
a = 0.626722 + 0.268822I
b = 0.052856 − 0.818326I
−1.03941 + 1.27491I −0.72097 − 4.37315I
u = −0.255396 + 0.597292I
a = 0.555457 + 0.283608I
b = −0.241429 − 1.252780I
3.30691 + 3.23521I 6.24553 − 3.44821I
u = −0.255396 − 0.597292I
a = 0.555457 − 0.283608I
b = −0.241429 + 1.252780I
3.30691 − 3.23521I 6.24553 + 3.44821I
u = 1.093860 + 0.795677I
a = −0.568436 − 0.262743I
b = −0.461055 − 0.707837I
9.78375 + 0.50006I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.093860 − 0.795677I
a = −0.568436 + 0.262743I
b = −0.461055 + 0.707837I
9.78375 − 0.50006I 0
u = 1.177980 + 0.674350I
a = 0.78139 + 1.79731I
b = −0.521615 + 1.186440I
1.21192 − 7.91472I 0
u = 1.177980 − 0.674350I
a = 0.78139 − 1.79731I
b = −0.521615 − 1.186440I
1.21192 + 7.91472I 0
u = 1.393250 + 0.062804I
a = −0.43332 − 1.64211I
b = −0.361309 − 1.025480I
−3.28842 + 4.58134I 0
u = 1.393250 − 0.062804I
a = −0.43332 + 1.64211I
b = −0.361309 + 1.025480I
−3.28842 − 4.58134I 0
u = −0.364523 + 0.453468I
a = 0.949005 + 0.189231I
b = −0.296430 + 0.043240I
1.074570 − 0.364625I 8.86158 + 1.00666I
u = −0.364523 − 0.453468I
a = 0.949005 − 0.189231I
b = −0.296430 − 0.043240I
1.074570 + 0.364625I 8.86158 − 1.00666I
u = −1.40693 + 0.26293I
a = −0.54852 + 1.45067I
b = −0.250889 + 0.828979I
−2.35349 + 2.05269I 0
u = −1.40693 − 0.26293I
a = −0.54852 − 1.45067I
b = −0.250889 − 0.828979I
−2.35349 − 2.05269I 0
u = −0.195571 + 0.479240I
a = 0.577297 − 0.172202I
b = −0.657463 + 0.925136I
0.29761 − 2.48770I 0.48068 + 5.85360I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.195571 − 0.479240I
a = 0.577297 + 0.172202I
b = −0.657463 − 0.925136I
0.29761 + 2.48770I 0.48068 − 5.85360I
17
II. I
u
2
= h4116u
29
− 337u
28
+ · · · + 2119b − 4263, 3524u
29
− 3466u
28
+ · · · +
2119a − 4558, u
30
− 9u
28
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
−1.66305u
29
+ 1.63568u
28
+ ··· + 2.02171u + 2.15101
−1.94243u
29
+ 0.159037u
28
+ ··· + 2.34545u + 2.01180
a
6
=
−4.72062u
29
+ 1.47664u
28
+ ··· + 4.67626u − 0.860783
−0.183577u
29
+ 0.615857u
28
+ ··· + 0.898537u − 4.48844
a
9
=
−0.720623u
29
+ 1.47664u
28
+ ··· − 0.323738u + 0.139217
−1.94243u
29
+ 0.159037u
28
+ ··· + 2.34545u + 2.01180
a
5
=
−2.42378u
29
− 1.89193u
28
+ ··· − 1.54271u − 3.77537
0.352525u
29
− 0.280321u
28
+ ··· + 0.115149u − 3.32940
a
10
=
0.279377u
29
+ 1.47664u
28
+ ··· − 0.323738u + 0.139217
−1.94243u
29
+ 0.159037u
28
+ ··· + 2.34545u + 2.01180
a
4
=
5.18358u
29
+ 1.38414u
28
+ ··· + 8.10146u + 3.48844
u
26
− 8u
24
+ ··· + u + 1
a
12
=
0.489382u
29
− 5.14818u
28
+ ··· − 8.06371u + 2.60028
1.73006u
29
− 0.122699u
28
+ ··· − 2.61963u + 1.99387
(ii) Obstruction class = 1
(iii) Cusp Shapes =
8900
2119
u
29
+
18019
2119
u
28
+ ··· +
8901
2119
u +
21659
2119
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 18u
29
+ ··· − 11u + 1
c
2
u
30
− 9u
28
+ ··· − u + 1
c
3
u
30
+ u
29
+ ··· − 2u + 1
c
4
u
30
+ 2u
29
+ ··· − 5u
2
+ 1
c
5
u
30
− 2u
29
+ ··· + u + 1
c
6
u
30
− u
29
+ ··· + 2u + 1
c
7
u
30
− 9u
28
+ ··· + u + 1
c
8
u
30
+ 2u
29
+ ··· − u + 1
c
9
u
30
− 2u
28
+ ··· + u + 1
c
10
u
30
+ u
29
+ ··· − 2u + 1
c
11
, c
12
u
30
− 2u
29
+ ··· − 5u
2
+ 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 2y
29
+ ··· + y + 1
c
2
, c
7
y
30
− 18y
29
+ ··· − 11y + 1
c
3
y
30
− 3y
29
+ ··· + 2y + 1
c
4
, c
11
, c
12
y
30
− 34y
29
+ ··· − 10y + 1
c
5
, c
8
y
30
+ 28y
29
+ ··· + 23y + 1
c
6
, c
10
y
30
+ 23y
29
+ ··· + 28y + 1
c
9
y
30
− 4y
29
+ ··· + 3y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.966271 + 0.269036I
a = 1.24147 + 1.66698I
b = 0.14443 + 1.41752I
−3.40495 − 1.05591I −5.82237 + 2.38521I
u = 0.966271 − 0.269036I
a = 1.24147 − 1.66698I
b = 0.14443 − 1.41752I
−3.40495 + 1.05591I −5.82237 − 2.38521I
u = −0.978892 + 0.382177I
a = 1.48694 − 1.15115I
b = 0.72991 − 1.53743I
0.327230 − 1.299880I −2.12440 + 0.19277I
u = −0.978892 − 0.382177I
a = 1.48694 + 1.15115I
b = 0.72991 + 1.53743I
0.327230 + 1.299880I −2.12440 − 0.19277I
u = −0.768142 + 0.723630I
a = −0.662423 + 0.544176I
b = −0.179634 − 0.516897I
9.84264 + 4.95395I 8.83133 − 5.31332I
u = −0.768142 − 0.723630I
a = −0.662423 − 0.544176I
b = −0.179634 + 0.516897I
9.84264 − 4.95395I 8.83133 + 5.31332I
u = 1.070350 + 0.392320I
a = −0.74629 − 2.79697I
b = 0.371818 − 0.748142I
6.53291 − 5.89094I 2.27303 + 8.94029I
u = 1.070350 − 0.392320I
a = −0.74629 + 2.79697I
b = 0.371818 + 0.748142I
6.53291 + 5.89094I 2.27303 − 8.94029I
u = −0.805620 + 0.267311I
a = 1.09601 − 2.05634I
b = −0.44975 − 1.45693I
1.12308 + 4.13957I 3.26069 − 2.03081I
u = −0.805620 − 0.267311I
a = 1.09601 + 2.05634I
b = −0.44975 + 1.45693I
1.12308 − 4.13957I 3.26069 + 2.03081I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.024780 + 0.550928I
a = −0.95340 − 1.80855I
b = 1.01457 − 1.21354I
1.57890 − 7.20026I 2.19842 + 8.70081I
u = 1.024780 − 0.550928I
a = −0.95340 + 1.80855I
b = 1.01457 + 1.21354I
1.57890 + 7.20026I 2.19842 − 8.70081I
u = 0.580019 + 0.597744I
a = −0.193773 + 0.430270I
b = −0.823602 − 1.036890I
2.95005 + 2.61429I 7.03202 − 4.12812I
u = 0.580019 − 0.597744I
a = −0.193773 − 0.430270I
b = −0.823602 + 1.036890I
2.95005 − 2.61429I 7.03202 + 4.12812I
u = 0.868055 + 0.811428I
a = 0.297066 − 0.186122I
b = −0.070011 + 0.601724I
3.99743 − 3.02628I −9.94746 + 9.52022I
u = 0.868055 − 0.811428I
a = 0.297066 + 0.186122I
b = −0.070011 − 0.601724I
3.99743 + 3.02628I −9.94746 − 9.52022I
u = −1.087410 + 0.524809I
a = −0.90908 + 1.89495I
b = 0.650725 + 1.041370I
−1.34299 + 6.08940I 4.73638 − 5.01445I
u = −1.087410 − 0.524809I
a = −0.90908 − 1.89495I
b = 0.650725 − 1.041370I
−1.34299 − 6.08940I 4.73638 + 5.01445I
u = 0.701285 + 0.329100I
a = 2.86496 − 0.04510I
b = −0.405490 − 0.568796I
7.93470 + 2.79540I 7.59390 − 5.95030I
u = 0.701285 − 0.329100I
a = 2.86496 + 0.04510I
b = −0.405490 + 0.568796I
7.93470 − 2.79540I 7.59390 + 5.95030I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.999295 + 0.730244I
a = 1.169430 − 0.186254I
b = 0.080356 − 0.588102I
9.13336 + 0.61404I 5.37852 − 1.13112I
u = −0.999295 − 0.730244I
a = 1.169430 + 0.186254I
b = 0.080356 + 0.588102I
9.13336 − 0.61404I 5.37852 + 1.13112I
u = −1.315190 + 0.133456I
a = 0.30717 + 1.87100I
b = 0.172765 + 0.971955I
−2.96738 + 3.56678I 3.83488 − 2.93852I
u = −1.315190 − 0.133456I
a = 0.30717 − 1.87100I
b = 0.172765 − 0.971955I
−2.96738 − 3.56678I 3.83488 + 2.93852I
u = 1.311350 + 0.314323I
a = 0.67987 + 1.39055I
b = 0.225561 + 0.968785I
−3.05332 − 1.98040I −2.05636 + 0.I
u = 1.311350 − 0.314323I
a = 0.67987 − 1.39055I
b = 0.225561 − 0.968785I
−3.05332 + 1.98040I −2.05636 + 0.I
u = −0.037392 + 0.644829I
a = 0.076852 + 0.630212I
b = −0.450772 + 0.904715I
1.08731 − 1.85225I 6.27991 + 2.11843I
u = −0.037392 − 0.644829I
a = 0.076852 − 0.630212I
b = −0.450772 − 0.904715I
1.08731 + 1.85225I 6.27991 − 2.11843I
u = −0.530159 + 0.292116I
a = 1.245200 + 0.312529I
b = −0.510873 + 0.768213I
0.80464 − 2.06359I 5.03150 + 3.05155I
u = −0.530159 − 0.292116I
a = 1.245200 − 0.312529I
b = −0.510873 − 0.768213I
0.80464 + 2.06359I 5.03150 − 3.05155I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 18u
29
+ ··· − 11u + 1)(u
121
+ 55u
120
+ ··· + 178585u + 9409)
c
2
(u
30
− 9u
28
+ ··· − u + 1)(u
121
+ u
120
+ ··· + 69u − 97)
c
3
(u
30
+ u
29
+ ··· − 2u + 1)(u
121
− 10u
119
+ ··· − 165094u − 9137)
c
4
(u
30
+ 2u
29
+ ··· − 5u
2
+ 1)(u
121
− 3u
120
+ ··· + 5u − 2)
c
5
(u
30
− 2u
29
+ ··· + u + 1)(u
121
− 3u
120
+ ··· − 837975u + 184601)
c
6
(u
30
− u
29
+ ··· + 2u + 1)(u
121
− 2u
120
+ ··· − 1722u + 181)
c
7
(u
30
− 9u
28
+ ··· + u + 1)(u
121
+ u
120
+ ··· + 69u − 97)
c
8
(u
30
+ 2u
29
+ ··· − u + 1)(u
121
− 3u
120
+ ··· − 837975u + 184601)
c
9
(u
30
− 2u
28
+ ··· + u + 1)
· (u
121
− 7u
120
+ ··· − 1422961227u + 245450119)
c
10
(u
30
+ u
29
+ ··· − 2u + 1)(u
121
− 2u
120
+ ··· − 1722u + 181)
c
11
, c
12
(u
30
− 2u
29
+ ··· − 5u
2
+ 1)(u
121
− 3u
120
+ ··· + 5u − 2)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 2y
29
+ ··· + y + 1)
· (y
121
+ 37y
120
+ ··· − 3380797875y −88529281)
c
2
, c
7
(y
30
− 18y
29
+ ··· − 11y + 1)(y
121
− 55y
120
+ ··· + 178585y −9409)
c
3
(y
30
− 3y
29
+ ··· + 2y + 1)
· (y
121
− 20y
120
+ ··· + 9314834924y −83484769)
c
4
, c
11
, c
12
(y
30
− 34y
29
+ ··· − 10y + 1)(y
121
− 127y
120
+ ··· − 235y −4)
c
5
, c
8
(y
30
+ 28y
29
+ ··· + 23y + 1)
· (y
121
+ 99y
120
+ ··· − 1160560440125y −34077529201)
c
6
, c
10
(y
30
+ 23y
29
+ ··· + 28y + 1)(y
121
+ 66y
120
+ ··· − 951918y −32761)
c
9
(y
30
− 4y
29
+ ··· + 3y + 1)
· (y
121
− 57y
120
+ ··· + 1931211107502902003y −60245760917114161)
25
