12a
1107
(K12a
1107
)
A knot diagram
1
Linearized knot diagam
4 7 11 1 9 10 3 12 6 2 8 5
Solving Sequence
2,7
3
8,10
11 4 12 1 6 9 5
c
2
c
7
c
10
c
3
c
11
c
1
c
6
c
9
c
5
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.01048 × 10
165
u
79
+ 2.54217 × 10
164
u
78
+ ··· + 3.41950 × 10
164
b − 7.77445 × 10
164
,
− 5.17035 × 10
164
u
79
+ 5.54826 × 10
164
u
78
+ ··· + 3.41950 × 10
164
a − 3.60849 × 10
163
,
u
80
− u
79
+ ··· + 77u
2
+ 1i
I
u
2
= h232u
23
− 9371u
22
+ ··· + 4397b − 14595, −13378u
23
− 29082u
22
+ ··· + 30779a − 96133,
u
24
− 9u
22
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 104 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
= h1.01 × 10
165
u
79
+ 2.54 × 10
164
u
78
+ · · · + 3.42 × 10
164
b − 7.77 ×
10
164
, −5.17 × 10
164
u
79
+ 5.55 × 10
164
u
78
+ · · · + 3.42 × 10
164
a − 3.61 ×
10
163
, u
80
− u
79
+ · · · + 77u
2
+ 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
8
=
u
−u
3
+ u
a
10
=
1.51202u
79
− 1.62254u
78
+ ··· + 113.235u + 0.105527
−2.95505u
79
− 0.743435u
78
+ ··· + 11.1242u + 2.27356
a
11
=
4.46707u
79
− 0.879103u
78
+ ··· + 102.111u − 2.16804
−2.95505u
79
− 0.743435u
78
+ ··· + 11.1242u + 2.27356
a
4
=
1.67385u
79
+ 0.289420u
78
+ ··· − 1.17646u − 12.9982
−1.18420u
79
− 0.192329u
78
+ ··· + 0.413449u + 1.05286
a
12
=
2.40314u
79
− 1.41293u
78
+ ··· + 104.976u − 0.569502
−1.63115u
79
− 0.400807u
78
+ ··· + 11.9253u + 1.27435
a
1
=
−2.08629u
79
− 0.293098u
78
+ ··· + 0.912283u + 1.62816
−0.844189u
79
− 0.0173289u
78
+ ··· − 1.90524u + 1.58429
a
6
=
3.48631u
79
− 2.36607u
78
+ ··· + 164.350u − 0.593819
3.21212u
79
+ 0.854157u
78
+ ··· + 14.2195u − 2.45641
a
9
=
−0.580067u
79
+ 3.15254u
78
+ ··· − 124.634u − 1.51358
0.746830u
79
+ 0.320814u
78
+ ··· − 17.3276u − 0.655648
a
5
=
−3.47372u
79
+ 0.944591u
78
+ ··· − 3.30266u + 1.85928
1.80989u
79
+ 0.553280u
78
+ ··· − 12.0166u − 1.68220
(ii) Obstruction class = −1
(iii) Cusp Shapes = −5.07525u
79
− 1.43220u
78
+ ··· − 10.6961u + 15.3492
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
12
u
80
− 3u
79
+ ··· + 934u − 73
c
2
, c
7
u
80
+ u
79
+ ··· + 77u
2
+ 1
c
3
u
80
− 2u
79
+ ··· + 237896u − 72979
c
5
, c
6
, c
9
u
80
− 4u
79
+ ··· − 2139u − 529
c
8
, c
11
u
80
− 43u
78
+ ··· + 2193u + 583
c
10
u
80
+ 6u
79
+ ··· + 1524620u − 140713
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
80
+ 93y
79
+ ··· − 288502y + 5329
c
2
, c
7
y
80
− 65y
79
+ ··· + 154y + 1
c
3
y
80
+ 42y
79
+ ··· + 54740796004y + 5325934441
c
5
, c
6
, c
9
y
80
− 96y
79
+ ··· − 7161073y + 279841
c
8
, c
11
y
80
− 86y
79
+ ··· + 12819505y + 339889
c
10
y
80
+ 46y
79
+ ··· − 642253205014y + 19800148369
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.696936 + 0.729645I
a = 0.632882 − 0.912130I
b = 0.021106 − 0.373710I
4.15739 + 0.27185I 0
u = 0.696936 − 0.729645I
a = 0.632882 + 0.912130I
b = 0.021106 + 0.373710I
4.15739 − 0.27185I 0
u = 0.135002 + 0.952540I
a = 0.864710 − 0.639597I
b = 0.728429 − 0.940911I
9.53387 + 5.61294I 0
u = 0.135002 − 0.952540I
a = 0.864710 + 0.639597I
b = 0.728429 + 0.940911I
9.53387 − 5.61294I 0
u = 0.868294 + 0.372933I
a = −1.101470 + 0.485003I
b = −0.868224 + 0.272648I
4.75188 + 3.71337I 0
u = 0.868294 − 0.372933I
a = −1.101470 − 0.485003I
b = −0.868224 − 0.272648I
4.75188 − 3.71337I 0
u = 0.040864 + 0.925223I
a = 0.07581 − 1.48298I
b = 0.241815 − 0.985617I
3.95442 + 1.49798I 0
u = 0.040864 − 0.925223I
a = 0.07581 + 1.48298I
b = 0.241815 + 0.985617I
3.95442 − 1.49798I 0
u = −0.588597 + 0.700636I
a = −0.397248 + 0.207196I
b = −0.543099 − 0.075426I
1.06681 − 2.17703I 0
u = −0.588597 − 0.700636I
a = −0.397248 − 0.207196I
b = −0.543099 + 0.075426I
1.06681 + 2.17703I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.142022 + 1.091210I
a = −0.315318 − 0.470004I
b = −0.290486 − 0.637626I
1.73943 − 2.57033I 0
u = −0.142022 − 1.091210I
a = −0.315318 + 0.470004I
b = −0.290486 + 0.637626I
1.73943 + 2.57033I 0
u = −1.126310 + 0.089569I
a = −0.442007 + 0.484742I
b = −0.071623 − 0.866787I
2.07180 − 0.39101I 0
u = −1.126310 − 0.089569I
a = −0.442007 − 0.484742I
b = −0.071623 + 0.866787I
2.07180 + 0.39101I 0
u = 0.010153 + 0.860616I
a = 0.00315 − 1.86109I
b = −0.523475 − 1.293000I
11.67760 − 3.21420I 7.86067 + 0.I
u = 0.010153 − 0.860616I
a = 0.00315 + 1.86109I
b = −0.523475 + 1.293000I
11.67760 + 3.21420I 7.86067 + 0.I
u = 1.176850 + 0.214087I
a = 0.453143 + 0.396474I
b = 0.521520 − 1.178590I
2.04646 + 3.46770I 0
u = 1.176850 − 0.214087I
a = 0.453143 − 0.396474I
b = 0.521520 + 1.178590I
2.04646 − 3.46770I 0
u = −0.785016
a = 1.33024
b = 1.08366
1.13184 8.48010
u = 1.222590 + 0.169019I
a = −0.366542 + 0.187924I
b = −0.813785 − 1.003570I
5.24817 + 2.02818I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.222590 − 0.169019I
a = −0.366542 − 0.187924I
b = −0.813785 + 1.003570I
5.24817 − 2.02818I 0
u = 1.243590 + 0.025750I
a = 0.491354 + 0.508234I
b = −0.299282 − 1.114900I
7.67920 − 1.91271I 0
u = 1.243590 − 0.025750I
a = 0.491354 − 0.508234I
b = −0.299282 + 1.114900I
7.67920 + 1.91271I 0
u = −1.233740 + 0.160122I
a = 0.416652 − 0.189134I
b = 1.68403 − 1.29569I
12.34390 − 2.02934I 0
u = −1.233740 − 0.160122I
a = 0.416652 + 0.189134I
b = 1.68403 + 1.29569I
12.34390 + 2.02934I 0
u = −0.224335 + 1.251370I
a = 0.396579 + 1.240710I
b = 0.439295 + 1.205560I
17.5268 − 9.1987I 0
u = −0.224335 − 1.251370I
a = 0.396579 − 1.240710I
b = 0.439295 − 1.205560I
17.5268 + 9.1987I 0
u = −1.253320 + 0.226787I
a = −0.545170 + 0.251974I
b = −0.76985 − 1.68601I
7.94638 − 5.57424I 0
u = −1.253320 − 0.226787I
a = −0.545170 − 0.251974I
b = −0.76985 + 1.68601I
7.94638 + 5.57424I 0
u = 1.276730 + 0.036383I
a = 1.228410 − 0.105767I
b = 2.64332 − 1.67262I
19.4910 − 3.4464I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.276730 − 0.036383I
a = 1.228410 + 0.105767I
b = 2.64332 + 1.67262I
19.4910 + 3.4464I 0
u = −1.265650 + 0.190509I
a = 0.244681 + 0.771958I
b = 0.017983 − 0.909709I
5.35611 − 2.38954I 0
u = −1.265650 − 0.190509I
a = 0.244681 − 0.771958I
b = 0.017983 + 0.909709I
5.35611 + 2.38954I 0
u = −1.299340 + 0.029424I
a = −1.217230 + 0.003891I
b = −1.83036 − 1.15663I
12.50960 + 1.28371I 0
u = −1.299340 − 0.029424I
a = −1.217230 − 0.003891I
b = −1.83036 + 1.15663I
12.50960 − 1.28371I 0
u = 1.299070 + 0.193597I
a = −0.237125 + 1.091620I
b = 0.267604 − 0.949221I
12.85860 + 2.75004I 0
u = 1.299070 − 0.193597I
a = −0.237125 − 1.091620I
b = 0.267604 + 0.949221I
12.85860 − 2.75004I 0
u = 1.326140 + 0.028464I
a = 1.269620 + 0.151823I
b = 0.866280 − 0.943954I
12.89430 + 2.13766I 0
u = 1.326140 − 0.028464I
a = 1.269620 − 0.151823I
b = 0.866280 + 0.943954I
12.89430 − 2.13766I 0
u = 1.283090 + 0.364993I
a = −1.183630 + 0.243995I
b = −1.05605 + 2.29439I
15.6627 + 7.5874I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.283090 − 0.364993I
a = −1.183630 − 0.243995I
b = −1.05605 − 2.29439I
15.6627 − 7.5874I 0
u = −1.343180 + 0.032900I
a = −1.369430 + 0.312616I
b = −0.310808 − 0.922191I
−19.0242 − 4.4708I 0
u = −1.343180 − 0.032900I
a = −1.369430 − 0.312616I
b = −0.310808 + 0.922191I
−19.0242 + 4.4708I 0
u = −1.317610 + 0.367711I
a = 1.066500 + 0.174236I
b = 0.92485 + 1.76034I
8.27079 − 6.02105I 0
u = −1.317610 − 0.367711I
a = 1.066500 − 0.174236I
b = 0.92485 − 1.76034I
8.27079 + 6.02105I 0
u = −1.350370 + 0.391524I
a = 1.190330 + 0.228444I
b = 0.324743 + 1.026450I
15.9502 − 1.3706I 0
u = −1.350370 − 0.391524I
a = 1.190330 − 0.228444I
b = 0.324743 − 1.026450I
15.9502 + 1.3706I 0
u = 1.312710 + 0.520323I
a = −0.376045 + 0.401152I
b = 0.446491 + 1.104500I
13.10940 − 0.20147I 0
u = 1.312710 − 0.520323I
a = −0.376045 − 0.401152I
b = 0.446491 − 1.104500I
13.10940 + 0.20147I 0
u = 1.36279 + 0.38161I
a = −1.047180 + 0.129175I
b = −0.702037 + 1.186500I
8.31069 + 3.35890I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.36279 − 0.38161I
a = −1.047180 − 0.129175I
b = −0.702037 − 1.186500I
8.31069 − 3.35890I 0
u = −1.37192 + 0.39149I
a = 0.807781 − 0.491480I
b = 0.74301 + 1.26571I
14.3124 − 10.3619I 0
u = −1.37192 − 0.39149I
a = 0.807781 + 0.491480I
b = 0.74301 − 1.26571I
14.3124 + 10.3619I 0
u = 1.38308 + 0.39841I
a = −0.648655 − 0.272797I
b = −0.558455 + 1.136390I
6.68676 + 7.61230I 0
u = 1.38308 − 0.39841I
a = −0.648655 + 0.272797I
b = −0.558455 − 1.136390I
6.68676 − 7.61230I 0
u = −1.39460 + 0.45420I
a = 0.481757 + 0.042834I
b = 0.178283 + 1.047700I
6.05912 − 3.19174I 0
u = −1.39460 − 0.45420I
a = 0.481757 − 0.042834I
b = 0.178283 − 1.047700I
6.05912 + 3.19174I 0
u = 0.14075 + 1.47091I
a = −0.146810 + 1.074640I
b = −0.154282 + 1.049390I
9.31276 + 3.72880I 0
u = 0.14075 − 1.47091I
a = −0.146810 − 1.074640I
b = −0.154282 − 1.049390I
9.31276 − 3.72880I 0
u = 0.151699 + 0.484888I
a = 0.382165 + 0.552524I
b = 0.599046 + 0.333795I
−1.030810 − 0.677680I −5.64323 + 3.30320I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.151699 − 0.484888I
a = 0.382165 − 0.552524I
b = 0.599046 − 0.333795I
−1.030810 + 0.677680I −5.64323 − 3.30320I
u = −0.033695 + 0.492640I
a = 1.68449 − 1.09078I
b = 0.913552 + 0.729430I
8.69093 − 0.23211I 6.42670 − 0.21461I
u = −0.033695 − 0.492640I
a = 1.68449 + 1.09078I
b = 0.913552 − 0.729430I
8.69093 + 0.23211I 6.42670 + 0.21461I
u = −0.041679 + 0.436910I
a = −1.04487 − 1.00890I
b = −0.449373 + 0.440231I
1.60345 − 0.01482I 6.70518 + 0.02503I
u = −0.041679 − 0.436910I
a = −1.04487 + 1.00890I
b = −0.449373 − 0.440231I
1.60345 + 0.01482I 6.70518 − 0.02503I
u = 1.49122 + 0.49260I
a = 1.093130 − 0.164500I
b = 0.94025 − 1.68561I
−16.4656 + 15.2752I 0
u = 1.49122 − 0.49260I
a = 1.093130 + 0.164500I
b = 0.94025 + 1.68561I
−16.4656 − 15.2752I 0
u = 0.041118 + 0.424708I
a = −0.260292 + 1.379560I
b = −0.756220 + 0.857836I
3.98697 + 2.93845I −0.70752 − 5.65005I
u = 0.041118 − 0.424708I
a = −0.260292 − 1.379560I
b = −0.756220 − 0.857836I
3.98697 − 2.93845I −0.70752 + 5.65005I
u = −0.386163
a = −1.63277
b = −0.124601
0.879285 12.9290
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.55136 + 0.52158I
a = −0.988220 − 0.220179I
b = −0.87035 − 1.43468I
14.9843 − 10.6270I 0
u = −1.55136 − 0.52158I
a = −0.988220 + 0.220179I
b = −0.87035 + 1.43468I
14.9843 + 10.6270I 0
u = −1.49451 + 0.74389I
a = −0.852568 − 0.491480I
b = −0.300488 − 1.121150I
−18.1746 + 1.8793I 0
u = −1.49451 − 0.74389I
a = −0.852568 + 0.491480I
b = −0.300488 + 1.121150I
−18.1746 − 1.8793I 0
u = 1.59349 + 0.62272I
a = 0.895221 − 0.321694I
b = 0.650987 − 1.202490I
14.1821 + 3.9616I 0
u = 1.59349 − 0.62272I
a = 0.895221 + 0.321694I
b = 0.650987 + 1.202490I
14.1821 − 3.9616I 0
u = 0.102253 + 0.110466I
a = −8.53086 + 6.70317I
b = 0.914345 + 1.053000I
15.7420 + 3.9676I 8.47382 − 0.00289I
u = 0.102253 − 0.110466I
a = −8.53086 − 6.70317I
b = 0.914345 − 1.053000I
15.7420 − 3.9676I 8.47382 + 0.00289I
u = −0.0405555 + 0.0915966I
a = 7.0436 + 13.7070I
b = −0.378225 + 0.861032I
8.45061 − 1.71352I 11.94923 − 1.77133I
u = −0.0405555 − 0.0915966I
a = 7.0436 − 13.7070I
b = −0.378225 − 0.861032I
8.45061 + 1.71352I 11.94923 + 1.77133I
12
II. I
u
2
= h232u
23
− 9371u
22
+ · · · + 4397b − 14595, −13378u
23
− 29082u
22
+
· · · + 30779a − 96133, u
24
− 9u
22
+ · · · + 2u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
−u
2
a
8
=
u
−u
3
+ u
a
10
=
0.434647u
23
+ 0.944865u
22
+ ··· + 12.7557u + 3.12333
−0.0527632u
23
+ 2.13123u
22
+ ··· + 2.46350u + 3.31931
a
11
=
0.487410u
23
− 1.18636u
22
+ ··· + 10.2922u − 0.195978
−0.0527632u
23
+ 2.13123u
22
+ ··· + 2.46350u + 3.31931
a
4
=
2.25128u
23
− 0.650801u
22
+ ··· + 4.21879u + 5.72566
1.06803u
23
+ 0.598038u
22
+ ··· + 1.66591u + 4.37646
a
12
=
−1.24484u
23
+ 1.95377u
22
+ ··· + 5.99318u + 1.67384
1.37815u
23
+ 0.0465902u
22
+ ··· + 6.17694u + 2.04899
a
1
=
−3.18760u
23
− 1.54206u
22
+ ··· − 2.01956u − 9.97310
0.559440u
23
− 1.86981u
22
+ ··· + 4.96861u − 1.32893
a
6
=
−0.440560u
23
− 1.86981u
22
+ ··· − 10.0314u − 4.32893
0.0720296u
23
− 1.68345u
22
+ ··· − 1.32363u − 3.13295
a
9
=
0.565353u
23
− 1.94487u
22
+ ··· + 5.24426u − 2.12333
−0.919036u
23
+ 1.12622u
22
+ ··· − 0.918126u + 1.19968
a
5
=
−1.04659u
23
− 0.254817u
22
+ ··· − 13.2927u − 3.37815
0.104779u
23
− 1.86835u
22
+ ··· − 2.33546u − 3.91735
(ii) Obstruction class = 1
(iii) Cusp Shapes =
135137
30779
u
23
−
178618
30779
u
22
+ ··· +
134797
4397
u −
71459
30779
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
u
24
− 2u
23
+ ··· − 2u − 1
c
2
u
24
− 9u
22
+ ··· + 2u − 1
c
3
u
24
+ u
23
+ ··· − 10u
2
− 1
c
4
u
24
+ 2u
23
+ ··· + 2u − 1
c
5
, c
6
u
24
− 3u
23
+ ··· + 3u + 1
c
7
u
24
− 9u
22
+ ··· − 2u − 1
c
8
u
24
− 5u
23
+ ··· − 3u − 1
c
9
u
24
+ 3u
23
+ ··· − 3u + 1
c
10
u
24
− u
23
+ ··· − 6u − 1
c
11
u
24
+ 5u
23
+ ··· + 3u − 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
y
24
+ 28y
23
+ ··· + 10y + 1
c
2
, c
7
y
24
− 18y
23
+ ··· − 34y + 1
c
3
y
24
+ 9y
23
+ ··· + 20y + 1
c
5
, c
6
, c
9
y
24
− 29y
23
+ ··· − 17y + 1
c
8
, c
11
y
24
− 27y
23
+ ··· − 19y + 1
c
10
y
24
+ 9y
23
+ ··· + 30y + 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.948785 + 0.336242I
a = 1.56664 + 0.28156I
b = −0.48314 + 1.36965I
16.7456 − 4.9547I 13.14118 + 3.73700I
u = −0.948785 − 0.336242I
a = 1.56664 − 0.28156I
b = −0.48314 − 1.36965I
16.7456 + 4.9547I 13.14118 − 3.73700I
u = −0.480070 + 0.885671I
a = −0.245521 − 0.145918I
b = 0.098345 + 0.138475I
1.56627 − 1.88204I 9.40784 − 2.19295I
u = −0.480070 − 0.885671I
a = −0.245521 + 0.145918I
b = 0.098345 − 0.138475I
1.56627 + 1.88204I 9.40784 + 2.19295I
u = 0.453235 + 0.820486I
a = −0.84320 + 1.40717I
b = 0.078008 + 0.635200I
7.93340 + 2.67206I 7.99288 − 3.48914I
u = 0.453235 − 0.820486I
a = −0.84320 − 1.40717I
b = 0.078008 − 0.635200I
7.93340 − 2.67206I 7.99288 + 3.48914I
u = 1.077200 + 0.224370I
a = 0.037138 + 0.707804I
b = −0.971894 − 0.489643I
11.22030 + 0.98150I 9.90939 − 0.25740I
u = 1.077200 − 0.224370I
a = 0.037138 − 0.707804I
b = −0.971894 + 0.489643I
11.22030 − 0.98150I 9.90939 + 0.25740I
u = 0.330242 + 1.054880I
a = 0.303758 − 1.127310I
b = 0.189484 − 0.980273I
5.11428 + 1.15831I 12.52997 − 2.03839I
u = 0.330242 − 1.054880I
a = 0.303758 + 1.127310I
b = 0.189484 + 0.980273I
5.11428 − 1.15831I 12.52997 + 2.03839I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.235050 + 0.216681I
a = 0.192132 + 0.466658I
b = 0.353681 − 0.829286I
4.51331 − 1.90214I 3.26510 − 0.24162I
u = −1.235050 − 0.216681I
a = 0.192132 − 0.466658I
b = 0.353681 + 0.829286I
4.51331 + 1.90214I 3.26510 + 0.24162I
u = −1.251580 + 0.187877I
a = −1.268650 − 0.312631I
b = −1.55650 − 0.61865I
18.1177 + 2.6042I 11.52639 − 0.05741I
u = −1.251580 − 0.187877I
a = −1.268650 + 0.312631I
b = −1.55650 + 0.61865I
18.1177 − 2.6042I 11.52639 + 0.05741I
u = 1.294600 + 0.113188I
a = −0.396276 + 0.374271I
b = 0.085280 − 1.253300I
8.11890 + 3.19754I 12.70229 − 3.71877I
u = 1.294600 − 0.113188I
a = −0.396276 − 0.374271I
b = 0.085280 + 1.253300I
8.11890 − 3.19754I 12.70229 + 3.71877I
u = 1.37055
a = 1.19749
b = 1.51198
12.6669 12.5420
u = 1.299330 + 0.467553I
a = −0.989725 + 0.207171I
b = −0.43226 + 1.37704I
8.47795 + 4.53556I 11.78703 − 4.31442I
u = 1.299330 − 0.467553I
a = −0.989725 − 0.207171I
b = −0.43226 − 1.37704I
8.47795 − 4.53556I 11.78703 + 4.31442I
u = −1.41276 + 0.30830I
a = 0.898564 + 0.062896I
b = 0.91446 + 1.66365I
10.93640 − 5.49310I 13.09365 + 3.81125I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41276 − 0.30830I
a = 0.898564 − 0.062896I
b = 0.91446 − 1.66365I
10.93640 + 5.49310I 13.09365 − 3.81125I
u = 0.330589 + 0.062325I
a = 2.55338 − 0.86643I
b = 0.813280 − 0.738569I
4.47332 + 2.58880I 10.32560 + 1.84657I
u = 0.330589 − 0.062325I
a = 2.55338 + 0.86643I
b = 0.813280 + 0.738569I
4.47332 − 2.58880I 10.32560 − 1.84657I
u = −0.284449
a = −2.81399
b = −0.689471
0.159790 −1.90480
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
12
(u
24
− 2u
23
+ ··· − 2u − 1)(u
80
− 3u
79
+ ··· + 934u − 73)
c
2
(u
24
− 9u
22
+ ··· + 2u − 1)(u
80
+ u
79
+ ··· + 77u
2
+ 1)
c
3
(u
24
+ u
23
+ ··· − 10u
2
− 1)(u
80
− 2u
79
+ ··· + 237896u − 72979)
c
4
(u
24
+ 2u
23
+ ··· + 2u − 1)(u
80
− 3u
79
+ ··· + 934u − 73)
c
5
, c
6
(u
24
− 3u
23
+ ··· + 3u + 1)(u
80
− 4u
79
+ ··· − 2139u − 529)
c
7
(u
24
− 9u
22
+ ··· − 2u − 1)(u
80
+ u
79
+ ··· + 77u
2
+ 1)
c
8
(u
24
− 5u
23
+ ··· − 3u − 1)(u
80
− 43u
78
+ ··· + 2193u + 583)
c
9
(u
24
+ 3u
23
+ ··· − 3u + 1)(u
80
− 4u
79
+ ··· − 2139u − 529)
c
10
(u
24
− u
23
+ ··· − 6u − 1)(u
80
+ 6u
79
+ ··· + 1524620u − 140713)
c
11
(u
24
+ 5u
23
+ ··· + 3u − 1)(u
80
− 43u
78
+ ··· + 2193u + 583)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
12
(y
24
+ 28y
23
+ ··· + 10y + 1)(y
80
+ 93y
79
+ ··· − 288502y + 5329)
c
2
, c
7
(y
24
− 18y
23
+ ··· − 34y + 1)(y
80
− 65y
79
+ ··· + 154y + 1)
c
3
(y
24
+ 9y
23
+ ··· + 20y + 1)
· (y
80
+ 42y
79
+ ··· + 54740796004y + 5325934441)
c
5
, c
6
, c
9
(y
24
− 29y
23
+ ··· − 17y + 1)
· (y
80
− 96y
79
+ ··· − 7161073y + 279841)
c
8
, c
11
(y
24
− 27y
23
+ ··· − 19y + 1)
· (y
80
− 86y
79
+ ··· + 12819505y + 339889)
c
10
(y
24
+ 9y
23
+ ··· + 30y + 1)
· (y
80
+ 46y
79
+ ··· − 642253205014y + 19800148369)
20
