12a
0917
(K12a
0917
)
A knot diagram
1
Linearized knot diagam
4 6 9 10 2 11 12 3 1 5 8 7
Solving Sequence
4,10 2,5
6 11 7 1 9 3 8 12
c
4
c
5
c
10
c
6
c
1
c
9
c
3
c
8
c
12
c
2
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.88633 × 10
471
u
113
+ 1.54579 × 10
470
u
112
+ ··· + 7.97071 × 10
471
b + 1.97275 × 10
474
,
7.18453 × 10
474
u
113
+ 6.27512 × 10
473
u
112
+ ··· + 5.89036 × 10
474
a − 5.31194 × 10
477
,
u
114
− u
113
+ ··· + 3336u + 739i
I
u
2
= hu
17
− u
15
+ u
14
− 2u
13
− u
12
+ 4u
11
− 2u
10
+ u
8
− 5u
7
+ 2u
5
− 2u
4
+ 2u
3
− u
2
+ b − u,
− 2u
17
+ 3u
16
+ ··· + a − 8,
u
18
− 2u
16
+ u
15
− u
14
− 2u
13
+ 6u
12
− u
11
− 4u
10
+ 3u
9
− 5u
8
− u
7
+ 7u
6
− 2u
5
+ u
3
− 3u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 132 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−3.89 × 10
471
u
113
+ 1.55 × 10
470
u
112
+ · · · + 7.97 × 10
471
b + 1.97 ×
10
474
, 7.18 × 10
474
u
113
+ 6.28 × 10
473
u
112
+ · · · + 5.89 × 10
474
a − 5.31 ×
10
477
, u
114
− u
113
+ · · · + 3336u + 739i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
2
=
−1.21971u
113
− 0.106532u
112
+ ··· + 4748.64u + 901.802
0.487577u
113
− 0.0193933u
112
+ ··· − 1361.90u − 247.500
a
5
=
1
−u
2
a
6
=
−0.702049u
113
− 0.0653924u
112
+ ··· + 3470.05u + 644.021
0.845663u
113
− 0.192654u
112
+ ··· − 3774.60u − 650.263
a
11
=
u
−u
3
+ u
a
7
=
−0.0422999u
113
− 0.195938u
112
+ ··· + 427.605u + 115.860
1.02739u
113
− 0.224671u
112
+ ··· − 4564.07u − 787.343
a
1
=
−0.732134u
113
− 0.125925u
112
+ ··· + 3386.74u + 654.302
0.487577u
113
− 0.0193933u
112
+ ··· − 1361.90u − 247.500
a
9
=
0.168656u
113
− 0.108635u
112
+ ··· + 315.475u + 96.2647
−0.565787u
113
+ 0.0498570u
112
+ ··· + 2951.46u + 531.758
a
3
=
−0.444496u
113
+ 0.325385u
112
+ ··· + 1254.43u + 185.049
0.196882u
113
+ 0.141099u
112
+ ··· − 654.563u − 145.912
a
8
=
−0.393672u
113
+ 0.129234u
112
+ ··· + 1069.44u + 180.809
−0.748105u
113
+ 0.105672u
112
+ ··· + 2739.36u + 481.056
a
12
=
0.316425u
113
− 0.0597294u
112
+ ··· − 1059.92u − 181.231
0.570528u
113
− 0.0518741u
112
+ ··· − 2263.23u − 397.890
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.538110u
113
− 0.379647u
112
+ ··· − 40.7556u + 70.1323
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
114
− 4u
113
+ ··· − 26u + 1
c
2
, c
5
u
114
+ u
113
+ ··· − 712u − 329
c
3
, c
8
u
114
+ u
113
+ ··· + 35970u + 3559
c
4
, c
10
u
114
− u
113
+ ··· + 3336u + 739
c
6
u
114
+ u
113
+ ··· + 57678u − 19897
c
7
, c
11
, c
12
u
114
− u
113
+ ··· + 12u − 1
c
9
u
114
− 2u
113
+ ··· − 2u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
114
− 16y
113
+ ··· − 48y + 1
c
2
, c
5
y
114
− 77y
113
+ ··· − 6990876y + 108241
c
3
, c
8
y
114
− 73y
113
+ ··· − 385996944y + 12666481
c
4
, c
10
y
114
− 63y
113
+ ··· − 24991058y + 546121
c
6
y
114
− 13y
113
+ ··· − 36931949010y + 395890609
c
7
, c
11
, c
12
y
114
+ 103y
113
+ ··· − 100y + 1
c
9
y
114
− 10y
113
+ ··· − 56y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.969088 + 0.204379I
a = 0.414722 − 0.810630I
b = −1.42649 + 0.70549I
−3.50634 − 4.69984I 0
u = −0.969088 − 0.204379I
a = 0.414722 + 0.810630I
b = −1.42649 − 0.70549I
−3.50634 + 4.69984I 0
u = 0.877583 + 0.445562I
a = −0.21000 + 1.84305I
b = 0.358065 + 0.009637I
−2.36151 + 5.03253I 0
u = 0.877583 − 0.445562I
a = −0.21000 − 1.84305I
b = 0.358065 − 0.009637I
−2.36151 − 5.03253I 0
u = −0.006438 + 1.028020I
a = −0.155991 + 0.265312I
b = 1.074920 + 0.501547I
−6.60704 − 3.50811I 0
u = −0.006438 − 1.028020I
a = −0.155991 − 0.265312I
b = 1.074920 − 0.501547I
−6.60704 + 3.50811I 0
u = −0.695698 + 0.757499I
a = 0.452586 − 0.492180I
b = 0.345815 + 0.231181I
−3.24887 − 2.33723I 0
u = −0.695698 − 0.757499I
a = 0.452586 + 0.492180I
b = 0.345815 − 0.231181I
−3.24887 + 2.33723I 0
u = 0.968126 + 0.073076I
a = 0.650180 + 1.183770I
b = −1.58042 − 0.93058I
1.51276 + 0.70933I 0
u = 0.968126 − 0.073076I
a = 0.650180 − 1.183770I
b = −1.58042 + 0.93058I
1.51276 − 0.70933I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.949489 + 0.055564I
a = 0.55669 − 1.61663I
b = 0.061562 + 0.974667I
1.41876 + 0.03926I 0
u = 0.949489 − 0.055564I
a = 0.55669 + 1.61663I
b = 0.061562 − 0.974667I
1.41876 − 0.03926I 0
u = 0.954829 + 0.446281I
a = −0.06902 − 2.04103I
b = −0.582983 + 0.860904I
−5.06278 + 6.04773I 0
u = 0.954829 − 0.446281I
a = −0.06902 + 2.04103I
b = −0.582983 − 0.860904I
−5.06278 − 6.04773I 0
u = 0.914791 + 0.236855I
a = −1.58640 + 1.57134I
b = 0.297054 + 0.009562I
−9.57486 − 0.48554I 0
u = 0.914791 − 0.236855I
a = −1.58640 − 1.57134I
b = 0.297054 − 0.009562I
−9.57486 + 0.48554I 0
u = 0.922232 + 0.144218I
a = 1.174010 − 0.065866I
b = 1.123630 − 0.011538I
−9.76533 + 2.14261I 0
u = 0.922232 − 0.144218I
a = 1.174010 + 0.065866I
b = 1.123630 + 0.011538I
−9.76533 − 2.14261I 0
u = 1.046070 + 0.239058I
a = −0.85138 − 1.97274I
b = 1.09363 + 2.03591I
−5.37492 + 8.65829I 0
u = 1.046070 − 0.239058I
a = −0.85138 + 1.97274I
b = 1.09363 − 2.03591I
−5.37492 − 8.65829I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.264647 + 0.883793I
a = −0.536581 − 0.273213I
b = 1.216060 − 0.609753I
−13.92120 + 2.15412I 0
u = −0.264647 − 0.883793I
a = −0.536581 + 0.273213I
b = 1.216060 + 0.609753I
−13.92120 − 2.15412I 0
u = −1.010120 + 0.380788I
a = −0.68331 − 1.26299I
b = 0.318750 + 0.019761I
−3.47032 − 1.40711I 0
u = −1.010120 − 0.380788I
a = −0.68331 + 1.26299I
b = 0.318750 − 0.019761I
−3.47032 + 1.40711I 0
u = −0.817063 + 0.423429I
a = −0.16216 − 2.30139I
b = 0.353188 − 0.037404I
−7.84408 − 8.47218I 0
u = −0.817063 − 0.423429I
a = −0.16216 + 2.30139I
b = 0.353188 + 0.037404I
−7.84408 + 8.47218I 0
u = −0.746591 + 0.520694I
a = 0.950966 + 0.221898I
b = 1.073110 + 0.087222I
−8.00719 + 4.52766I 0
u = −0.746591 − 0.520694I
a = 0.950966 − 0.221898I
b = 1.073110 − 0.087222I
−8.00719 − 4.52766I 0
u = −0.902077 + 0.094311I
a = 0.12308 + 2.02544I
b = −1.11520 − 1.36298I
−0.19599 − 3.84624I 0
u = −0.902077 − 0.094311I
a = 0.12308 − 2.02544I
b = −1.11520 + 1.36298I
−0.19599 + 3.84624I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.086250 + 0.162157I
a = 0.06438 + 2.12014I
b = 0.14911 − 1.94929I
1.30462 − 4.38742I 0
u = −1.086250 − 0.162157I
a = 0.06438 − 2.12014I
b = 0.14911 + 1.94929I
1.30462 + 4.38742I 0
u = −1.035270 + 0.478756I
a = −0.30223 + 1.61442I
b = −0.806669 − 0.959995I
0.34780 − 4.65325I 0
u = −1.035270 − 0.478756I
a = −0.30223 − 1.61442I
b = −0.806669 + 0.959995I
0.34780 + 4.65325I 0
u = −1.117830 + 0.247816I
a = −0.20281 + 1.52575I
b = −1.04943 − 0.98275I
0.41343 − 3.70509I 0
u = −1.117830 − 0.247816I
a = −0.20281 − 1.52575I
b = −1.04943 + 0.98275I
0.41343 + 3.70509I 0
u = −0.847341
a = 1.23534
b = 1.13631
−5.38924 0
u = −0.329500 + 0.765976I
a = 0.326623 + 0.507359I
b = 1.100880 + 0.290094I
−5.80128 − 3.00091I 0
u = −0.329500 − 0.765976I
a = 0.326623 − 0.507359I
b = 1.100880 − 0.290094I
−5.80128 + 3.00091I 0
u = 0.618576 + 0.540685I
a = 0.083599 + 0.252147I
b = −1.052880 − 0.515640I
−6.05839 − 2.02378I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.618576 − 0.540685I
a = 0.083599 − 0.252147I
b = −1.052880 + 0.515640I
−6.05839 + 2.02378I 0
u = 0.584109 + 0.576538I
a = 0.809406 − 0.387011I
b = 1.091560 − 0.150137I
−3.16752 − 0.88507I 0
u = 0.584109 − 0.576538I
a = 0.809406 + 0.387011I
b = 1.091560 + 0.150137I
−3.16752 + 0.88507I 0
u = −0.045428 + 1.189570I
a = −0.167656 − 0.108204I
b = 1.009570 − 0.563654I
−4.97274 + 7.84212I 0
u = −0.045428 − 1.189570I
a = −0.167656 + 0.108204I
b = 1.009570 + 0.563654I
−4.97274 − 7.84212I 0
u = −1.165720 + 0.323722I
a = 0.31893 + 1.56945I
b = −0.694903 − 1.156700I
0.94177 − 4.19901I 0
u = −1.165720 − 0.323722I
a = 0.31893 − 1.56945I
b = −0.694903 + 1.156700I
0.94177 + 4.19901I 0
u = 1.109390 + 0.508395I
a = −0.43713 − 1.64769I
b = −0.859732 + 0.839961I
−4.47538 + 3.22869I 0
u = 1.109390 − 0.508395I
a = −0.43713 + 1.64769I
b = −0.859732 − 0.839961I
−4.47538 − 3.22869I 0
u = 0.232527 + 0.731714I
a = −0.488149 + 0.051820I
b = −0.795646 − 0.709438I
−6.98909 + 1.36802I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.232527 − 0.731714I
a = −0.488149 − 0.051820I
b = −0.795646 + 0.709438I
−6.98909 − 1.36802I 0
u = 1.245280 + 0.019562I
a = 1.06744 − 0.93533I
b = −1.23246 + 0.91844I
2.68980 − 0.40449I 0
u = 1.245280 − 0.019562I
a = 1.06744 + 0.93533I
b = −1.23246 − 0.91844I
2.68980 + 0.40449I 0
u = 1.202270 + 0.346526I
a = −0.33320 − 1.47123I
b = −1.010690 + 0.890754I
2.71109 + 7.20053I 0
u = 1.202270 − 0.346526I
a = −0.33320 + 1.47123I
b = −1.010690 − 0.890754I
2.71109 − 7.20053I 0
u = −0.721422 + 0.177839I
a = 1.08111 + 2.16726I
b = −0.182614 − 0.720205I
−4.27000 + 2.72633I 0
u = −0.721422 − 0.177839I
a = 1.08111 − 2.16726I
b = −0.182614 + 0.720205I
−4.27000 − 2.72633I 0
u = −0.980319 + 0.788998I
a = 0.172281 − 0.636795I
b = 0.349510 + 0.174258I
−3.27096 − 2.36971I 0
u = −0.980319 − 0.788998I
a = 0.172281 + 0.636795I
b = 0.349510 − 0.174258I
−3.27096 + 2.36971I 0
u = 0.115666 + 1.254400I
a = −0.200394 + 0.043848I
b = 0.994452 + 0.610560I
−10.4311 − 11.7658I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.115666 − 1.254400I
a = −0.200394 − 0.043848I
b = 0.994452 − 0.610560I
−10.4311 + 11.7658I 0
u = 1.036480 + 0.717931I
a = −0.288516 − 1.248700I
b = −0.777232 + 1.034550I
−4.38648 + 4.09702I 0
u = 1.036480 − 0.717931I
a = −0.288516 + 1.248700I
b = −0.777232 − 1.034550I
−4.38648 − 4.09702I 0
u = 1.270480 + 0.167881I
a = 0.165225 + 1.112440I
b = 0.662819 − 0.915343I
3.06266 − 1.23525I 0
u = 1.270480 − 0.167881I
a = 0.165225 − 1.112440I
b = 0.662819 + 0.915343I
3.06266 + 1.23525I 0
u = 0.252868 + 0.657555I
a = −1.179630 − 0.653715I
b = −0.692015 + 0.913812I
−6.45845 + 6.96970I −4.16064 − 5.87209I
u = 0.252868 − 0.657555I
a = −1.179630 + 0.653715I
b = −0.692015 − 0.913812I
−6.45845 − 6.96970I −4.16064 + 5.87209I
u = −1.197800 + 0.494846I
a = −0.45391 − 1.80764I
b = 1.37331 + 1.33078I
−10.98250 − 7.15840I 0
u = −1.197800 − 0.494846I
a = −0.45391 + 1.80764I
b = 1.37331 − 1.33078I
−10.98250 + 7.15840I 0
u = −1.240560 + 0.391878I
a = −0.39027 + 1.45245I
b = −1.002840 − 0.851978I
−2.34084 − 10.75460I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.240560 − 0.391878I
a = −0.39027 − 1.45245I
b = −1.002840 + 0.851978I
−2.34084 + 10.75460I 0
u = −1.301500 + 0.288205I
a = 0.165188 − 0.997801I
b = 0.736668 + 0.805372I
6.42560 − 2.65652I 0
u = −1.301500 − 0.288205I
a = 0.165188 + 0.997801I
b = 0.736668 − 0.805372I
6.42560 + 2.65652I 0
u = −1.324720 + 0.172615I
a = 0.746766 − 0.575376I
b = −0.924036 + 0.681271I
−2.14648 − 4.49574I 0
u = −1.324720 − 0.172615I
a = 0.746766 + 0.575376I
b = −0.924036 − 0.681271I
−2.14648 + 4.49574I 0
u = −1.34105
a = −1.92897
b = 2.59537
3.15607 0
u = 1.329470 + 0.219256I
a = −1.40678 + 1.09962I
b = 2.13472 − 0.89832I
−0.49690 + 6.12941I 0
u = 1.329470 − 0.219256I
a = −1.40678 − 1.09962I
b = 2.13472 + 0.89832I
−0.49690 − 6.12941I 0
u = −0.393840 + 0.496891I
a = 0.227651 + 0.005701I
b = −0.856839 + 0.304726I
−1.47794 + 0.42376I −6.92289 + 0.66239I
u = −0.393840 − 0.496891I
a = 0.227651 − 0.005701I
b = −0.856839 − 0.304726I
−1.47794 − 0.42376I −6.92289 − 0.66239I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.626665 + 0.070513I
a = −0.31959 + 3.28267I
b = −0.30771 − 1.56112I
−6.93246 − 6.74464I −4.54421 + 3.69045I
u = 0.626665 − 0.070513I
a = −0.31959 − 3.28267I
b = −0.30771 + 1.56112I
−6.93246 + 6.74464I −4.54421 − 3.69045I
u = 1.325510 + 0.388709I
a = 0.146422 + 0.905816I
b = 0.803835 − 0.718166I
2.20215 + 6.61785I 0
u = 1.325510 − 0.388709I
a = 0.146422 − 0.905816I
b = 0.803835 + 0.718166I
2.20215 − 6.61785I 0
u = −1.306190 + 0.483235I
a = 0.133723 + 1.262820I
b = −0.766311 − 1.066690I
1.29239 − 4.31334I 0
u = −1.306190 − 0.483235I
a = 0.133723 − 1.262820I
b = −0.766311 + 1.066690I
1.29239 + 4.31334I 0
u = 1.33405 + 0.53018I
a = −0.36634 + 1.44906I
b = 1.35537 − 1.10565I
−2.47218 + 9.05795I 0
u = 1.33405 − 0.53018I
a = −0.36634 − 1.44906I
b = 1.35537 + 1.10565I
−2.47218 − 9.05795I 0
u = −0.243615 + 0.493296I
a = −0.355017 + 0.564310I
b = −0.651893 + 0.612044I
−1.56487 + 0.86576I −1.91780 + 0.15431I
u = −0.243615 − 0.493296I
a = −0.355017 − 0.564310I
b = −0.651893 − 0.612044I
−1.56487 − 0.86576I −1.91780 − 0.15431I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35532 + 0.58830I
a = −0.23377 − 1.42513I
b = 1.27991 + 1.09026I
−0.89098 − 14.03350I 0
u = −1.35532 − 0.58830I
a = −0.23377 + 1.42513I
b = 1.27991 − 1.09026I
−0.89098 + 14.03350I 0
u = 0.488332 + 0.161092I
a = 1.42208 + 0.46414I
b = −0.053684 − 0.385948I
1.047010 + 0.262830I 9.61906 − 0.97019I
u = 0.488332 − 0.161092I
a = 1.42208 − 0.46414I
b = −0.053684 + 0.385948I
1.047010 − 0.262830I 9.61906 + 0.97019I
u = 1.34991 + 0.62686I
a = 0.019466 − 1.152680I
b = −0.770642 + 1.054510I
3.46283 + 8.04487I 0
u = 1.34991 − 0.62686I
a = 0.019466 + 1.152680I
b = −0.770642 − 1.054510I
3.46283 − 8.04487I 0
u = 1.35219 + 0.62928I
a = −0.15913 + 1.44219I
b = 1.24121 − 1.09914I
−6.5551 + 18.2830I 0
u = 1.35219 − 0.62928I
a = −0.15913 − 1.44219I
b = 1.24121 + 1.09914I
−6.5551 − 18.2830I 0
u = 1.14136 + 0.96847I
a = 0.365788 + 0.227527I
b = −0.476207 − 0.460376I
−4.64691 − 1.49220I 0
u = 1.14136 − 0.96847I
a = 0.365788 − 0.227527I
b = −0.476207 + 0.460376I
−4.64691 + 1.49220I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36045 + 0.70486I
a = −0.027443 + 1.107860I
b = −0.772979 − 1.053780I
−1.63443 − 11.72660I 0
u = −1.36045 − 0.70486I
a = −0.027443 − 1.107860I
b = −0.772979 + 1.053780I
−1.63443 + 11.72660I 0
u = −0.094724 + 0.406140I
a = −2.10949 − 0.11649I
b = −0.553631 − 0.843286I
−0.92379 − 4.02696I 1.18917 + 6.48927I
u = −0.094724 − 0.406140I
a = −2.10949 + 0.11649I
b = −0.553631 + 0.843286I
−0.92379 + 4.02696I 1.18917 − 6.48927I
u = −0.293063 + 0.073000I
a = 3.07136 + 1.35063I
b = −0.267005 + 0.556962I
−1.97974 + 2.07861I 4.21828 − 3.72577I
u = −0.293063 − 0.073000I
a = 3.07136 − 1.35063I
b = −0.267005 − 0.556962I
−1.97974 − 2.07861I 4.21828 + 3.72577I
u = −0.96235 + 1.41625I
a = 0.245544 − 0.160016I
b = −0.311505 + 0.324669I
−0.793524 − 0.596169I 0
u = −0.96235 − 1.41625I
a = 0.245544 + 0.160016I
b = −0.311505 − 0.324669I
−0.793524 + 0.596169I 0
u = 1.37233 + 1.31365I
a = 0.033456 + 0.294436I
b = 0.175248 − 0.245317I
−0.167709 − 0.500264I 0
u = 1.37233 − 1.31365I
a = 0.033456 − 0.294436I
b = 0.175248 + 0.245317I
−0.167709 + 0.500264I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.22942 + 1.54957I
a = 0.191189 + 0.219742I
b = −0.180136 − 0.413746I
−5.43486 + 3.13452I 0
u = 1.22942 − 1.54957I
a = 0.191189 − 0.219742I
b = −0.180136 + 0.413746I
−5.43486 − 3.13452I 0
u = −1.28821 + 1.56434I
a = 0.088177 − 0.260039I
b = 0.114998 + 0.350495I
−4.83629 + 3.61821I 0
u = −1.28821 − 1.56434I
a = 0.088177 + 0.260039I
b = 0.114998 − 0.350495I
−4.83629 − 3.61821I 0
16
II.
I
u
2
= hu
17
−u
15
+· · ·+b−u, −2u
17
+3u
16
+· · ·+a−8, u
18
−2u
16
+· · ·−3u
2
+1i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
2
=
2u
17
− 3u
16
+ ··· − 5u + 8
−u
17
+ u
15
+ ··· + u
2
+ u
a
5
=
1
−u
2
a
6
=
5u
17
− 8u
16
+ ··· − 14u + 18
−u
17
+ u
15
+ ··· + u + 1
a
11
=
u
−u
3
+ u
a
7
=
3u
17
− 6u
16
+ ··· − 10u + 13
−2u
17
+ u
16
+ ··· + 3u − 2
a
1
=
u
17
− 3u
16
+ ··· − 4u + 8
−u
17
+ u
15
+ ··· + u
2
+ u
a
9
=
15u
17
− 4u
16
+ ··· − 32u + 12
u
17
− 2u
15
+ ··· + u
2
− 3u
a
3
=
−12u
17
+ 15u
16
+ ··· + 30u − 31
u
16
− 2u
14
+ ··· + u − 3
a
8
=
−16u
17
+ 8u
16
+ ··· + 34u − 18
−2u
17
+ 3u
15
+ ··· + 6u − 1
a
12
=
−17u
17
+ 10u
16
+ ··· + 30u − 19
−6u
17
+ 4u
16
+ ··· + 13u − 9
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6u
17
+ 6u
16
− 7u
15
− 3u
14
− 4u
13
− 18u
12
+ 16u
11
+ 21u
10
−
17u
9
− 12u
7
− 38u
6
+ 16u
5
+ 12u
4
− 4u
3
+ 9u
2
− 4u − 15
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
− 9u
17
+ ··· + 12u − 1
c
2
u
18
+ 6u
17
+ ··· + 4u + 1
c
3
u
18
− 3u
16
+ ··· − 2u
2
+ 1
c
4
u
18
− 2u
16
+ ··· − 3u
2
+ 1
c
5
u
18
− 6u
17
+ ··· − 4u + 1
c
6
u
18
+ 2u
17
+ ··· − 2u + 1
c
7
u
18
− 2u
17
+ ··· − 4u + 1
c
8
u
18
− 3u
16
+ ··· − 2u
2
+ 1
c
9
u
18
− 3u
17
+ ··· + 8u
2
− 1
c
10
u
18
− 2u
16
+ ··· − 3u
2
+ 1
c
11
, c
12
u
18
+ 2u
17
+ ··· + 4u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
− 9y
17
+ ··· − 24y + 1
c
2
, c
5
y
18
− 18y
17
+ ··· − 12y + 1
c
3
, c
8
y
18
− 6y
17
+ ··· − 4y + 1
c
4
, c
10
y
18
− 4y
17
+ ··· − 6y + 1
c
6
y
18
− 6y
17
+ ··· − 6y + 1
c
7
, c
11
, c
12
y
18
+ 18y
17
+ ··· − 12y + 1
c
9
y
18
− 7y
17
+ ··· − 16y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.096816 + 1.007410I
a = 0.390122 − 0.308395I
b = −0.506042 − 0.048045I
−0.485458 + 0.758770I 3.16986 + 0.63690I
u = −0.096816 − 1.007410I
a = 0.390122 + 0.308395I
b = −0.506042 + 0.048045I
−0.485458 − 0.758770I 3.16986 − 0.63690I
u = 0.089985 + 0.923596I
a = 0.710395 + 0.462376I
b = −0.462339 + 0.048441I
−5.33231 − 3.64992I −2.50782 + 2.22962I
u = 0.089985 − 0.923596I
a = 0.710395 − 0.462376I
b = −0.462339 − 0.048441I
−5.33231 + 3.64992I −2.50782 − 2.22962I
u = −1.001410 + 0.392393I
a = −0.17851 + 1.97212I
b = −0.76401 − 1.22705I
0.00272 − 5.19069I −0.60885 + 12.36479I
u = −1.001410 − 0.392393I
a = −0.17851 − 1.97212I
b = −0.76401 + 1.22705I
0.00272 + 5.19069I −0.60885 − 12.36479I
u = 0.868689 + 0.267789I
a = −0.46427 − 2.83054I
b = 0.00027 + 1.46765I
−6.48227 + 7.96307I −2.37210 − 7.51876I
u = 0.868689 − 0.267789I
a = −0.46427 + 2.83054I
b = 0.00027 − 1.46765I
−6.48227 − 7.96307I −2.37210 + 7.51876I
u = 0.942785 + 0.573136I
a = −0.71182 − 1.34547I
b = −0.677013 + 0.793940I
−2.58928 + 4.11351I 1.68689 − 6.10181I
u = 0.942785 − 0.573136I
a = −0.71182 + 1.34547I
b = −0.677013 − 0.793940I
−2.58928 − 4.11351I 1.68689 + 6.10181I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.155315 + 1.136990I
a = 0.063332 + 0.230986I
b = −0.569634 + 0.067000I
−3.77907 + 1.85984I −6.91962 − 3.56109I
u = 0.155315 − 1.136990I
a = 0.063332 − 0.230986I
b = −0.569634 − 0.067000I
−3.77907 − 1.85984I −6.91962 + 3.56109I
u = 1.26242
a = 2.07810
b = −2.68438
3.80243 16.1540
u = −1.243120 + 0.272288I
a = 0.94065 + 1.28464I
b = −1.69262 − 0.99507I
0.36400 − 5.73078I 4.33366 + 6.25229I
u = −1.243120 − 0.272288I
a = 0.94065 − 1.28464I
b = −1.69262 + 0.99507I
0.36400 + 5.73078I 4.33366 − 6.25229I
u = 0.721288
a = 1.61014
b = 1.08445
−5.70082 −15.0020
u = −0.707276 + 0.038773I
a = 1.90599 + 1.07892I
b = 0.971354 − 0.215696I
−10.35790 + 1.42128I −8.85789 + 0.00528I
u = −0.707276 − 0.038773I
a = 1.90599 − 1.07892I
b = 0.971354 + 0.215696I
−10.35790 − 1.42128I −8.85789 − 0.00528I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
− 9u
17
+ ··· + 12u − 1)(u
114
− 4u
113
+ ··· − 26u + 1)
c
2
(u
18
+ 6u
17
+ ··· + 4u + 1)(u
114
+ u
113
+ ··· − 712u − 329)
c
3
(u
18
− 3u
16
+ ··· − 2u
2
+ 1)(u
114
+ u
113
+ ··· + 35970u + 3559)
c
4
(u
18
− 2u
16
+ ··· − 3u
2
+ 1)(u
114
− u
113
+ ··· + 3336u + 739)
c
5
(u
18
− 6u
17
+ ··· − 4u + 1)(u
114
+ u
113
+ ··· − 712u − 329)
c
6
(u
18
+ 2u
17
+ ··· − 2u + 1)(u
114
+ u
113
+ ··· + 57678u − 19897)
c
7
(u
18
− 2u
17
+ ··· − 4u + 1)(u
114
− u
113
+ ··· + 12u − 1)
c
8
(u
18
− 3u
16
+ ··· − 2u
2
+ 1)(u
114
+ u
113
+ ··· + 35970u + 3559)
c
9
(u
18
− 3u
17
+ ··· + 8u
2
− 1)(u
114
− 2u
113
+ ··· − 2u + 1)
c
10
(u
18
− 2u
16
+ ··· − 3u
2
+ 1)(u
114
− u
113
+ ··· + 3336u + 739)
c
11
, c
12
(u
18
+ 2u
17
+ ··· + 4u + 1)(u
114
− u
113
+ ··· + 12u − 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
− 9y
17
+ ··· − 24y + 1)(y
114
− 16y
113
+ ··· − 48y + 1)
c
2
, c
5
(y
18
− 18y
17
+ ··· − 12y + 1)
· (y
114
− 77y
113
+ ··· − 6990876y + 108241)
c
3
, c
8
(y
18
− 6y
17
+ ··· − 4y + 1)
· (y
114
− 73y
113
+ ··· − 385996944y + 12666481)
c
4
, c
10
(y
18
− 4y
17
+ ··· − 6y + 1)
· (y
114
− 63y
113
+ ··· − 24991058y + 546121)
c
6
(y
18
− 6y
17
+ ··· − 6y + 1)
· (y
114
− 13y
113
+ ··· − 36931949010y + 395890609)
c
7
, c
11
, c
12
(y
18
+ 18y
17
+ ··· − 12y + 1)(y
114
+ 103y
113
+ ··· − 100y + 1)
c
9
(y
18
− 7y
17
+ ··· − 16y + 1)(y
114
− 10y
113
+ ··· − 56y + 1)
23
