12a
0934
(K12a
0934
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 10 3 11 1 2 7 5 8
Solving Sequence
8,12
1
5,9
4 2 3 11 7 6 10
c
12
c
8
c
4
c
1
c
3
c
11
c
7
c
6
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−8.17977 × 10
836
u
142
− 2.61309 × 10
836
u
141
+ ··· + 1.56473 × 10
838
b + 1.90810 × 10
838
,
1.66586 × 10
840
u
142
− 1.26723 × 10
840
u
141
+ ··· + 2.10456 × 10
841
a + 3.71585 × 10
842
,
u
143
− 47u
141
+ ··· + 364u + 269i
I
u
2
= h−1.71204 × 10
17
u
25
+ 3.05492 × 10
16
u
24
+ ··· + 5.91030 × 10
16
b − 5.58176 × 10
17
,
− 5.21337 × 10
18
u
25
− 1.64739 × 10
18
u
24
+ ··· + 2.95515 × 10
17
a − 6.14328 × 10
18
, u
26
+ u
25
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 169 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−8.18 × 10
836
u
142
− 2.61 × 10
836
u
141
+ · · · + 1.56 × 10
838
b + 1.91 ×
10
838
, 1.67 × 10
840
u
142
− 1.27 × 10
840
u
141
+ · · · + 2.10 × 10
841
a + 3.72 ×
10
842
, u
143
− 47u
141
+ · · · + 364u + 269i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
−0.0791551u
142
+ 0.0602135u
141
+ ··· + 30.8779u − 17.6562
0.0522761u
142
+ 0.0167000u
141
+ ··· − 11.6519u − 1.21945
a
9
=
−u
−u
3
+ u
a
4
=
−0.0268790u
142
+ 0.0769135u
141
+ ··· + 19.2260u − 18.8757
0.0522761u
142
+ 0.0167000u
141
+ ··· − 11.6519u − 1.21945
a
2
=
−0.0610283u
142
+ 0.124610u
141
+ ··· − 57.5228u − 42.7584
−0.00749442u
142
+ 0.0569378u
141
+ ··· − 15.5122u − 13.7115
a
3
=
−0.0816065u
142
+ 0.0545344u
141
+ ··· + 38.9646u − 14.3467
0.0492722u
142
+ 0.0126226u
141
+ ··· − 8.52288u + 0.271532
a
11
=
−0.0324903u
142
+ 0.0277336u
141
+ ··· + 4.34640u + 2.11357
−0.0977073u
142
− 0.113732u
141
+ ··· + 81.8388u + 36.8451
a
7
=
0.0416650u
142
− 0.100566u
141
+ ··· + 49.8985u + 25.4480
0.0806253u
142
− 0.0132788u
141
+ ··· − 13.2509u + 3.21127
a
6
=
0.117340u
142
− 0.163859u
141
+ ··· + 61.4302u + 43.4479
0.0498635u
142
+ 0.00880346u
141
+ ··· − 9.16620u − 0.0498885
a
10
=
−0.0155967u
142
− 0.0605104u
141
+ ··· + 40.6021u + 20.4252
0.0372287u
142
− 0.0727408u
141
+ ··· + 14.6857u + 19.7369
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.00649429u
142
+ 0.580777u
141
+ ··· − 330.566u − 189.922
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
5(5u
143
− 74u
142
+ ··· + 39u − 1)
c
2
, c
6
u
143
− 6u
142
+ ··· − 1576u + 172
c
3
u
143
− u
142
+ ··· − 165495u + 28517
c
4
, c
11
u
143
+ 2u
142
+ ··· + 5u + 1
c
5
u
143
− 5u
142
+ ··· + 29545559u + 4359035
c
7
, c
10
5(5u
143
+ 12u
142
+ ··· − 18368u + 853)
c
8
, c
12
u
143
− 47u
141
+ ··· + 364u + 269
c
9
5(5u
143
+ 13u
142
+ ··· + 1.70137 × 10
7
u + 3351097)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
143
+ 604y
142
+ ··· + 121y −1)
c
2
, c
6
y
143
− 76y
142
+ ··· + 959512y −29584
c
3
y
143
+ 41y
142
+ ··· − 38361226787y −813219289
c
4
, c
11
y
143
+ 86y
142
+ ··· + 121y −1
c
5
y
143
+ 23y
142
+ ··· + 104456910942711y −19001186131225
c
7
, c
10
25(25y
143
− 2914y
142
+ ··· + 1.04124 × 10
8
y −727609)
c
8
, c
12
y
143
− 94y
142
+ ··· + 5651838y −72361
c
9
25
· (25y
143
− 1509y
142
+ ··· + 228455902797875y −11229851103409)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.953441 + 0.280184I
a = 1.396460 + 0.048949I
b = 0.191314 − 0.190861I
−2.83635 − 4.15021I 0
u = 0.953441 − 0.280184I
a = 1.396460 − 0.048949I
b = 0.191314 + 0.190861I
−2.83635 + 4.15021I 0
u = −1.010390 + 0.030646I
a = −0.11325 − 2.01286I
b = 0.034402 − 0.865725I
−0.001877 − 0.442384I 0
u = −1.010390 − 0.030646I
a = −0.11325 + 2.01286I
b = 0.034402 + 0.865725I
−0.001877 + 0.442384I 0
u = −0.987219 + 0.014942I
a = −0.76824 + 2.79757I
b = −0.130585 − 1.246220I
0.106125 + 0.616101I 0
u = −0.987219 − 0.014942I
a = −0.76824 − 2.79757I
b = −0.130585 + 1.246220I
0.106125 − 0.616101I 0
u = −0.783799 + 0.643101I
a = −1.145450 − 0.671197I
b = 0.159109 + 0.679276I
−1.32608 − 0.55698I 0
u = −0.783799 − 0.643101I
a = −1.145450 + 0.671197I
b = 0.159109 − 0.679276I
−1.32608 + 0.55698I 0
u = 0.981212 + 0.039484I
a = −0.156321 − 0.796016I
b = −0.53247 + 2.38239I
2.58358 − 4.22251I 0
u = 0.981212 − 0.039484I
a = −0.156321 + 0.796016I
b = −0.53247 − 2.38239I
2.58358 + 4.22251I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.168376 + 1.010290I
a = −0.403018 + 1.329770I
b = 0.434505 − 1.198880I
6.76187 + 3.68604I 0
u = 0.168376 − 1.010290I
a = −0.403018 − 1.329770I
b = 0.434505 + 1.198880I
6.76187 − 3.68604I 0
u = −1.024100 + 0.082462I
a = 0.999925 − 0.454984I
b = 0.489112 + 0.884310I
−2.25844 + 0.52198I 0
u = −1.024100 − 0.082462I
a = 0.999925 + 0.454984I
b = 0.489112 − 0.884310I
−2.25844 − 0.52198I 0
u = 0.982228 + 0.303791I
a = −0.235058 + 1.247610I
b = −0.150528 − 0.716160I
0.85063 − 2.71396I 0
u = 0.982228 − 0.303791I
a = −0.235058 − 1.247610I
b = −0.150528 + 0.716160I
0.85063 + 2.71396I 0
u = 0.962958 + 0.098303I
a = 0.267266 + 0.030566I
b = 0.77834 + 1.61887I
2.51023 + 3.69294I 0
u = 0.962958 − 0.098303I
a = 0.267266 − 0.030566I
b = 0.77834 − 1.61887I
2.51023 − 3.69294I 0
u = −0.089637 + 1.034830I
a = 0.19639 − 1.60103I
b = 0.172723 + 1.291120I
8.09161 − 7.20861I 0
u = −0.089637 − 1.034830I
a = 0.19639 + 1.60103I
b = 0.172723 − 1.291120I
8.09161 + 7.20861I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.110001 + 0.954827I
a = −0.26538 + 1.47531I
b = −0.097892 − 1.271540I
4.82132 − 2.58137I 0
u = 0.110001 − 0.954827I
a = −0.26538 − 1.47531I
b = −0.097892 + 1.271540I
4.82132 + 2.58137I 0
u = −1.003690 + 0.323417I
a = −0.312210 − 0.087098I
b = −1.027220 − 0.536386I
1.12598 + 2.47967I 0
u = −1.003690 − 0.323417I
a = −0.312210 + 0.087098I
b = −1.027220 + 0.536386I
1.12598 − 2.47967I 0
u = −0.890332 + 0.317106I
a = 0.247103 + 0.210024I
b = −0.80279 − 1.54479I
2.38525 + 3.10272I 0
u = −0.890332 − 0.317106I
a = 0.247103 − 0.210024I
b = −0.80279 + 1.54479I
2.38525 − 3.10272I 0
u = −1.063350 + 0.252145I
a = −0.41624 − 1.54398I
b = −0.410990 + 1.303960I
−3.17300 + 3.96230I 0
u = −1.063350 − 0.252145I
a = −0.41624 + 1.54398I
b = −0.410990 − 1.303960I
−3.17300 − 3.96230I 0
u = −1.025570 + 0.384280I
a = −0.651829 − 1.021830I
b = −0.98342 + 1.42689I
−1.80463 + 5.84988I 0
u = −1.025570 − 0.384280I
a = −0.651829 + 1.021830I
b = −0.98342 − 1.42689I
−1.80463 − 5.84988I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.006130 + 0.461398I
a = 1.014620 − 0.660352I
b = 0.474415 + 1.220100I
6.42005 − 5.22402I 0
u = 1.006130 − 0.461398I
a = 1.014620 + 0.660352I
b = 0.474415 − 1.220100I
6.42005 + 5.22402I 0
u = 1.104300 + 0.136126I
a = 1.18282 − 1.18140I
b = 0.704634 + 1.081220I
−5.06245 − 4.49479I 0
u = 1.104300 − 0.136126I
a = 1.18282 + 1.18140I
b = 0.704634 − 1.081220I
−5.06245 + 4.49479I 0
u = 0.723528 + 0.513111I
a = −1.42116 + 0.78634I
b = 0.137355 + 0.053830I
0.61991 − 9.62524I 0
u = 0.723528 − 0.513111I
a = −1.42116 − 0.78634I
b = 0.137355 − 0.053830I
0.61991 + 9.62524I 0
u = −0.332280 + 0.813049I
a = −1.24577 − 1.60100I
b = 0.323420 + 0.654559I
−1.181230 − 0.629478I 0
u = −0.332280 − 0.813049I
a = −1.24577 + 1.60100I
b = 0.323420 − 0.654559I
−1.181230 + 0.629478I 0
u = −0.220671 + 0.840921I
a = −1.01507 − 1.12871I
b = 0.313244 + 1.159900I
0.48502 − 1.68739I 0
u = −0.220671 − 0.840921I
a = −1.01507 + 1.12871I
b = 0.313244 − 1.159900I
0.48502 + 1.68739I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.101010 + 0.295639I
a = −1.89392 + 0.97993I
b = −0.283702 − 0.936183I
1.12905 − 1.16214I 0
u = 1.101010 − 0.295639I
a = −1.89392 − 0.97993I
b = −0.283702 + 0.936183I
1.12905 + 1.16214I 0
u = −0.963608 + 0.612550I
a = 0.73453 + 1.31416I
b = 0.83474 − 1.22537I
2.77422 + 10.96720I 0
u = −0.963608 − 0.612550I
a = 0.73453 − 1.31416I
b = 0.83474 + 1.22537I
2.77422 − 10.96720I 0
u = −0.847432
a = −0.655806
b = −0.337970
−1.26647 0
u = −1.152880 + 0.066472I
a = 0.632318 + 1.250730I
b = 0.481285 − 1.196730I
−3.38562 − 0.59244I 0
u = −1.152880 − 0.066472I
a = 0.632318 − 1.250730I
b = 0.481285 + 1.196730I
−3.38562 + 0.59244I 0
u = −0.705574 + 0.917719I
a = 0.649939 + 0.783705I
b = −0.512130 − 1.146120I
3.72031 − 5.32101I 0
u = −0.705574 − 0.917719I
a = 0.649939 − 0.783705I
b = −0.512130 + 1.146120I
3.72031 + 5.32101I 0
u = −0.581728 + 0.599275I
a = 0.153970 + 0.705721I
b = −0.195329 + 0.058974I
−1.23695 + 1.89390I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.581728 − 0.599275I
a = 0.153970 − 0.705721I
b = −0.195329 − 0.058974I
−1.23695 − 1.89390I 0
u = 0.832800 + 0.047985I
a = −2.20444 + 1.00568I
b = −0.237110 − 0.562946I
2.37529 − 0.91245I 0
u = 0.832800 − 0.047985I
a = −2.20444 − 1.00568I
b = −0.237110 + 0.562946I
2.37529 + 0.91245I 0
u = 1.155320 + 0.169801I
a = −1.14673 + 1.41366I
b = −0.579450 − 1.180900I
−2.06102 − 10.51710I 0
u = 1.155320 − 0.169801I
a = −1.14673 − 1.41366I
b = −0.579450 + 1.180900I
−2.06102 + 10.51710I 0
u = 1.133480 + 0.316419I
a = 0.949414 − 0.757396I
b = 1.044660 + 0.873227I
−3.90278 − 4.96723I 0
u = 1.133480 − 0.316419I
a = 0.949414 + 0.757396I
b = 1.044660 − 0.873227I
−3.90278 + 4.96723I 0
u = −1.118630 + 0.396045I
a = −0.230661 − 0.577414I
b = −0.198672 + 0.029125I
−0.764453 − 0.954747I 0
u = −1.118630 − 0.396045I
a = −0.230661 + 0.577414I
b = −0.198672 − 0.029125I
−0.764453 + 0.954747I 0
u = −0.118570 + 1.188670I
a = 0.34493 − 1.37248I
b = −0.430334 + 1.207880I
1.22717 + 7.53373I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.118570 − 1.188670I
a = 0.34493 + 1.37248I
b = −0.430334 − 1.207880I
1.22717 − 7.53373I 0
u = 0.677140 + 0.409760I
a = −1.43195 + 1.61775I
b = −0.806800 − 0.408804I
1.207770 + 0.495852I 0
u = 0.677140 − 0.409760I
a = −1.43195 − 1.61775I
b = −0.806800 + 0.408804I
1.207770 − 0.495852I 0
u = 0.157111 + 0.734759I
a = −0.1312460 + 0.0400883I
b = 0.577568 − 0.342079I
3.03390 + 4.61751I 0
u = 0.157111 − 0.734759I
a = −0.1312460 − 0.0400883I
b = 0.577568 + 0.342079I
3.03390 − 4.61751I 0
u = 1.174530 + 0.474847I
a = 0.966589 − 0.577097I
b = 0.397074 + 0.610269I
−3.00556 − 4.48240I 0
u = 1.174530 − 0.474847I
a = 0.966589 + 0.577097I
b = 0.397074 − 0.610269I
−3.00556 + 4.48240I 0
u = 1.146160 + 0.564297I
a = −0.661465 + 0.725930I
b = −0.653511 − 0.462588I
0.31844 − 9.32512I 0
u = 1.146160 − 0.564297I
a = −0.661465 − 0.725930I
b = −0.653511 + 0.462588I
0.31844 + 9.32512I 0
u = −1.253640 + 0.264323I
a = 0.0344833 − 0.0027068I
b = 1.55923 + 0.24399I
−7.06638 + 5.97890I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.253640 − 0.264323I
a = 0.0344833 + 0.0027068I
b = 1.55923 − 0.24399I
−7.06638 − 5.97890I 0
u = 1.143220 + 0.644015I
a = −0.465776 + 1.130320I
b = −0.246405 − 1.101650I
1.46034 − 2.65575I 0
u = 1.143220 − 0.644015I
a = −0.465776 − 1.130320I
b = −0.246405 + 1.101650I
1.46034 + 2.65575I 0
u = 0.513860 + 0.455627I
a = −0.627920 + 0.129495I
b = 0.832741 − 0.680431I
1.52959 − 4.07522I 0
u = 0.513860 − 0.455627I
a = −0.627920 − 0.129495I
b = 0.832741 + 0.680431I
1.52959 + 4.07522I 0
u = −1.287890 + 0.357625I
a = −1.018530 − 0.249437I
b = −0.425248 + 1.101860I
4.46110 + 2.31741I 0
u = −1.287890 − 0.357625I
a = −1.018530 + 0.249437I
b = −0.425248 − 1.101860I
4.46110 − 2.31741I 0
u = −1.299090 + 0.339174I
a = 0.0071974 − 0.0201440I
b = −1.40845 − 0.18824I
−4.22308 + 12.77700I 0
u = −1.299090 − 0.339174I
a = 0.0071974 + 0.0201440I
b = −1.40845 + 0.18824I
−4.22308 − 12.77700I 0
u = −0.617090 + 0.191281I
a = 1.54730 + 0.50118I
b = 1.098090 − 0.569613I
3.27057 − 0.27522I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.617090 − 0.191281I
a = 1.54730 − 0.50118I
b = 1.098090 + 0.569613I
3.27057 + 0.27522I 0
u = 1.348760 + 0.191117I
a = 0.0473985 − 0.0250200I
b = −1.110880 + 0.147139I
−8.27484 − 1.14930I 0
u = 1.348760 − 0.191117I
a = 0.0473985 + 0.0250200I
b = −1.110880 − 0.147139I
−8.27484 + 1.14930I 0
u = 0.401349 + 0.495221I
a = −0.43868 − 3.17924I
b = 0.118252 + 1.088580I
0.87637 − 1.28498I 0
u = 0.401349 − 0.495221I
a = −0.43868 + 3.17924I
b = 0.118252 − 1.088580I
0.87637 + 1.28498I 0
u = −0.039875 + 1.366560I
a = −0.338713 + 1.335540I
b = 0.430615 − 1.191370I
4.05091 + 13.22030I 0
u = −0.039875 − 1.366560I
a = −0.338713 − 1.335540I
b = 0.430615 + 1.191370I
4.05091 − 13.22030I 0
u = −1.369400 + 0.083168I
a = 0.253440 − 0.220657I
b = 0.870309 − 0.616922I
−6.48596 + 1.39889I 0
u = −1.369400 − 0.083168I
a = 0.253440 + 0.220657I
b = 0.870309 + 0.616922I
−6.48596 − 1.39889I 0
u = 1.263360 + 0.538364I
a = −0.804710 + 1.037870I
b = −0.74435 − 1.24554I
3.33005 − 9.19163I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.263360 − 0.538364I
a = −0.804710 − 1.037870I
b = −0.74435 + 1.24554I
3.33005 + 9.19163I 0
u = 1.266690 + 0.532028I
a = −0.408116 + 0.923419I
b = −0.231903 − 1.182370I
1.47092 − 2.63775I 0
u = 1.266690 − 0.532028I
a = −0.408116 − 0.923419I
b = −0.231903 + 1.182370I
1.47092 + 2.63775I 0
u = 1.331500 + 0.398460I
a = 0.136812 − 0.247068I
b = −1.003340 + 0.420358I
−6.13084 − 3.78973I 0
u = 1.331500 − 0.398460I
a = 0.136812 + 0.247068I
b = −1.003340 − 0.420358I
−6.13084 + 3.78973I 0
u = 0.473594 + 0.356276I
a = 0.355076 − 0.981933I
b = −0.11273 + 1.53753I
8.23718 + 1.34496I 6.93628 + 6.15710I
u = 0.473594 − 0.356276I
a = 0.355076 + 0.981933I
b = −0.11273 − 1.53753I
8.23718 − 1.34496I 6.93628 − 6.15710I
u = −1.31723 + 0.52281I
a = −1.088310 − 0.825424I
b = −0.409585 + 1.197380I
4.21891 + 12.73810I 0
u = −1.31723 − 0.52281I
a = −1.088310 + 0.825424I
b = −0.409585 − 1.197380I
4.21891 − 12.73810I 0
u = −1.41997 + 0.02498I
a = −0.135495 + 0.303864I
b = −0.863982 + 0.315941I
−4.69625 − 5.17707I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41997 − 0.02498I
a = −0.135495 − 0.303864I
b = −0.863982 − 0.315941I
−4.69625 + 5.17707I 0
u = 1.40286 + 0.28425I
a = 0.0580973 − 0.0086499I
b = 0.967363 − 0.099075I
−7.44378 − 5.30666I 0
u = 1.40286 − 0.28425I
a = 0.0580973 + 0.0086499I
b = 0.967363 + 0.099075I
−7.44378 + 5.30666I 0
u = 1.39668 + 0.32006I
a = 0.006614 + 0.326654I
b = 0.891748 − 0.398388I
−6.18038 − 1.32612I 0
u = 1.39668 − 0.32006I
a = 0.006614 − 0.326654I
b = 0.891748 + 0.398388I
−6.18038 + 1.32612I 0
u = −1.36867 + 0.45750I
a = 0.887176 + 0.640077I
b = 0.437080 − 1.169470I
0.20367 + 7.63241I 0
u = −1.36867 − 0.45750I
a = 0.887176 − 0.640077I
b = 0.437080 + 1.169470I
0.20367 − 7.63241I 0
u = 0.009319 + 0.553348I
a = 0.64919 − 1.54443I
b = 0.07106 + 1.42958I
8.43857 + 1.38530I 7.30893 − 2.97936I
u = 0.009319 − 0.553348I
a = 0.64919 + 1.54443I
b = 0.07106 − 1.42958I
8.43857 − 1.38530I 7.30893 + 2.97936I
u = −1.36235 + 0.56627I
a = −0.521545 − 1.281640I
b = −0.60537 + 1.31544I
−4.62441 + 7.22274I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36235 − 0.56627I
a = −0.521545 + 1.281640I
b = −0.60537 − 1.31544I
−4.62441 − 7.22274I 0
u = 1.40718 + 0.55408I
a = 0.623404 − 1.087260I
b = 0.74733 + 1.36879I
−3.47935 − 13.62090I 0
u = 1.40718 − 0.55408I
a = 0.623404 + 1.087260I
b = 0.74733 − 1.36879I
−3.47935 + 13.62090I 0
u = 0.237124 + 0.412607I
a = 1.030850 − 0.811309I
b = −0.733952 + 0.949477I
−1.28096 + 1.96444I 5.17797 + 4.53715I
u = 0.237124 − 0.412607I
a = 1.030850 + 0.811309I
b = −0.733952 − 0.949477I
−1.28096 − 1.96444I 5.17797 − 4.53715I
u = −1.41083 + 0.60117I
a = 0.608231 + 1.271430I
b = 0.548730 − 1.290320I
−3.77920 + 10.77930I 0
u = −1.41083 − 0.60117I
a = 0.608231 − 1.271430I
b = 0.548730 + 1.290320I
−3.77920 − 10.77930I 0
u = 0.384020 + 0.252477I
a = −2.06556 + 2.05674I
b = 0.483990 + 0.403394I
0.54557 − 9.60702I −4.54721 + 6.76582I
u = 0.384020 − 0.252477I
a = −2.06556 − 2.05674I
b = 0.483990 − 0.403394I
0.54557 + 9.60702I −4.54721 − 6.76582I
u = −1.35549 + 0.74044I
a = −0.431996 − 1.251700I
b = −0.661697 + 1.200460I
−3.66668 + 9.84961I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35549 − 0.74044I
a = −0.431996 + 1.251700I
b = −0.661697 − 1.200460I
−3.66668 − 9.84961I 0
u = 1.42442 + 0.61562I
a = −0.612310 + 1.166130I
b = −0.70865 − 1.37011I
−0.5037 − 19.9858I 0
u = 1.42442 − 0.61562I
a = −0.612310 − 1.166130I
b = −0.70865 + 1.37011I
−0.5037 + 19.9858I 0
u = 0.000881 + 0.412430I
a = −0.637594 − 0.103775I
b = −0.330304 + 0.349720I
−0.255233 + 1.078510I −4.16711 − 5.77889I
u = 0.000881 − 0.412430I
a = −0.637594 + 0.103775I
b = −0.330304 − 0.349720I
−0.255233 − 1.078510I −4.16711 + 5.77889I
u = −1.44979 + 0.68710I
a = 0.442406 + 1.132350I
b = 0.594478 − 1.170020I
−3.76088 + 6.81017I 0
u = −1.44979 − 0.68710I
a = 0.442406 − 1.132350I
b = 0.594478 + 1.170020I
−3.76088 − 6.81017I 0
u = −0.59473 + 1.52673I
a = 0.455106 + 1.232590I
b = −0.246232 − 0.892389I
0.42408 − 3.50654I 0
u = −0.59473 − 1.52673I
a = 0.455106 − 1.232590I
b = −0.246232 + 0.892389I
0.42408 + 3.50654I 0
u = 1.64858 + 0.16029I
a = 0.250608 + 0.065648I
b = 0.018889 + 0.723162I
−6.46861 − 2.66055I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.64858 − 0.16029I
a = 0.250608 − 0.065648I
b = 0.018889 − 0.723162I
−6.46861 + 2.66055I 0
u = −0.172229 + 0.252662I
a = 1.16750 + 2.56934I
b = 0.713752 + 0.140239I
3.11265 + 0.43369I 1.84930 + 0.76351I
u = −0.172229 − 0.252662I
a = 1.16750 − 2.56934I
b = 0.713752 − 0.140239I
3.11265 − 0.43369I 1.84930 − 0.76351I
u = 0.243927 + 0.177605I
a = 2.20717 − 2.46108I
b = −0.711630 − 0.359394I
−2.73968 − 3.70029I −6.65081 + 6.70575I
u = 0.243927 − 0.177605I
a = 2.20717 + 2.46108I
b = −0.711630 + 0.359394I
−2.73968 + 3.70029I −6.65081 − 6.70575I
u = −0.126789 + 0.066174I
a = −6.00492 + 10.62260I
b = −0.146350 + 0.475460I
−0.079870 − 0.731459I 5.3843 − 24.9637I
u = −0.126789 − 0.066174I
a = −6.00492 − 10.62260I
b = −0.146350 − 0.475460I
−0.079870 + 0.731459I 5.3843 + 24.9637I
u = −0.12883 + 2.02261I
a = −0.301777 − 1.101470I
b = 0.234082 + 0.971078I
−0.42036 − 2.02617I 0
u = −0.12883 − 2.02261I
a = −0.301777 + 1.101470I
b = 0.234082 − 0.971078I
−0.42036 + 2.02617I 0
u = 2.16376 + 1.36280I
a = −0.004660 + 1.139560I
b = −0.194181 − 1.141660I
0.29837 + 2.19763I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 2.16376 − 1.36280I
a = −0.004660 − 1.139560I
b = −0.194181 + 1.141660I
0.29837 − 2.19763I 0
u = −2.36118 + 2.01034I
a = 0.172145 + 0.889187I
b = −0.068491 − 0.895263I
0.09074 + 1.84201I 0
u = −2.36118 − 2.01034I
a = 0.172145 − 0.889187I
b = −0.068491 + 0.895263I
0.09074 − 1.84201I 0
19
II.
I
u
2
= h−1.71×10
17
u
25
+3.05×10
16
u
24
+· · ·+5.91×10
16
b−5.58×10
17
, −5.21×
10
18
u
25
−1.65×10
18
u
24
+· · ·+2.96×10
17
a−6.14×10
18
, u
26
+u
25
+· · ·+u+1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
5
=
17.6416u
25
+ 5.57464u
24
+ ··· − 10.1578u + 20.7884
2.89671u
25
− 0.516880u
24
+ ··· + 4.12936u + 9.44412
a
9
=
−u
−u
3
+ u
a
4
=
20.5384u
25
+ 5.05776u
24
+ ··· − 6.02842u + 30.2325
2.89671u
25
− 0.516880u
24
+ ··· + 4.12936u + 9.44412
a
2
=
−2.80278u
25
− 0.105947u
24
+ ··· − 2.28007u + 0.880342
−0.482673u
25
+ 0.280749u
24
+ ··· − 4.36529u − 1.68566
a
3
=
13.7352u
25
+ 3.66547u
24
+ ··· − 4.31763u + 18.7077
6.57738u
25
+ 0.200737u
24
+ ··· + 3.81087u + 15.5580
a
11
=
−0.158054u
25
+ 1.44984u
24
+ ··· − 8.37909u + 0.512430
−1.28267u
25
− 0.319251u
24
+ ··· + 3.23471u − 0.885657
a
7
=
−3.72405u
25
− 3.43627u
24
+ ··· + 11.2921u − 7.96835
1.32522u
25
+ 0.901249u
24
+ ··· − 2.09481u − 0.727603
a
6
=
11.4938u
25
+ 0.948449u
24
+ ··· + 4.33981u + 12.4250
10.6129u
25
+ 4.91575u
24
+ ··· − 17.1902u + 8.84370
a
10
=
−10.7204u
25
− 4.06184u
24
+ ··· + 6.12266u − 18.9388
−0.0584470u
25
− 0.148044u
24
+ ··· + 4.31504u − 1.60373
(ii) Obstruction class = 1
(iii) Cusp Shapes =
14700817477270781266
7387879004773484125
u
25
−
63312761030831178458
7387879004773484125
u
24
+ ··· +
298313499962180300598
7387879004773484125
u +
108651066144304965144
7387879004773484125
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
5(5u
26
− 11u
25
+ ··· − 6u + 1)
c
2
u
26
+ 3u
25
+ ··· − u + 1
c
3
u
26
+ 9u
24
+ ··· + 21u
2
+ 1
c
4
u
26
− u
25
+ ··· − 4u + 1
c
5
u
26
+ 4u
25
+ ··· + 18u + 5
c
6
u
26
− 3u
25
+ ··· + u + 1
c
7
5(5u
26
+ 13u
25
+ ··· − 11u + 7)
c
8
u
26
− u
25
+ ··· − u + 1
c
9
5(5u
26
+ 2u
25
+ ··· + 16u
2
+ 1)
c
10
5(5u
26
− 13u
25
+ ··· + 11u + 7)
c
11
u
26
+ u
25
+ ··· + 4u + 1
c
12
u
26
+ u
25
+ ··· + u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
26
+ 49y
25
+ ··· + 58y + 1)
c
2
, c
6
y
26
− 11y
25
+ ··· − 17y + 1
c
3
y
26
+ 18y
25
+ ··· + 42y + 1
c
4
, c
11
y
26
+ 23y
25
+ ··· + 2y + 1
c
5
y
26
− 4y
25
+ ··· − 164y + 25
c
7
, c
10
25(25y
26
− 609y
25
+ ··· − 303y + 49)
c
8
, c
12
y
26
− 17y
25
+ ··· − 15y + 1
c
9
25(25y
26
− 104y
25
+ ··· + 32y + 1)
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.689751 + 0.556758I
a = 0.16006 − 2.66446I
b = 0.162164 + 1.113940I
1.374960 − 0.091891I −2.94024 − 2.04577I
u = 0.689751 − 0.556758I
a = 0.16006 + 2.66446I
b = 0.162164 − 1.113940I
1.374960 + 0.091891I −2.94024 + 2.04577I
u = −1.089060 + 0.300938I
a = −1.19283 − 0.82614I
b = −0.951459 + 0.789221I
−4.00559 + 5.46305I −7.5647 − 14.1732I
u = −1.089060 − 0.300938I
a = −1.19283 + 0.82614I
b = −0.951459 − 0.789221I
−4.00559 − 5.46305I −7.5647 + 14.1732I
u = −0.985242 + 0.555079I
a = 1.11059 + 1.53887I
b = 0.621247 − 0.928602I
0.59441 + 11.27070I −3.95044 − 11.03530I
u = −0.985242 − 0.555079I
a = 1.11059 − 1.53887I
b = 0.621247 + 0.928602I
0.59441 − 11.27070I −3.95044 + 11.03530I
u = 0.859024 + 0.107117I
a = 0.0318597 − 0.0079537I
b = 0.72005 − 2.29004I
3.12899 − 4.38552I 8.94509 + 10.65325I
u = 0.859024 − 0.107117I
a = 0.0318597 + 0.0079537I
b = 0.72005 + 2.29004I
3.12899 + 4.38552I 8.94509 − 10.65325I
u = −0.784621 + 0.143359I
a = 2.18545 + 0.32127I
b = 0.474196 − 0.341476I
2.16520 − 0.22072I −1.11606 − 4.18782I
u = −0.784621 − 0.143359I
a = 2.18545 − 0.32127I
b = 0.474196 + 0.341476I
2.16520 + 0.22072I −1.11606 + 4.18782I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.645300 + 0.097737I
a = −1.51161 + 1.36735I
b = −0.015490 + 0.564956I
−0.406606 − 0.877914I −7.54465 − 2.17926I
u = −0.645300 − 0.097737I
a = −1.51161 − 1.36735I
b = −0.015490 − 0.564956I
−0.406606 + 0.877914I −7.54465 + 2.17926I
u = 1.385330 + 0.282236I
a = −0.007879 − 0.229265I
b = −0.913835 + 0.153417I
−7.16225 − 2.94394I −10.12607 + 2.25574I
u = 1.385330 − 0.282236I
a = −0.007879 + 0.229265I
b = −0.913835 − 0.153417I
−7.16225 + 2.94394I −10.12607 − 2.25574I
u = 1.50623 + 0.14188I
a = −0.095313 − 0.439283I
b = −0.362803 − 0.156647I
−7.23593 − 2.70987I −13.21051 + 3.54938I
u = 1.50623 − 0.14188I
a = −0.095313 + 0.439283I
b = −0.362803 + 0.156647I
−7.23593 + 2.70987I −13.21051 − 3.54938I
u = 0.464106 + 0.086116I
a = 0.543273 + 1.022800I
b = 0.02622 − 1.58295I
7.96538 + 1.57261I −11.3086 − 8.7070I
u = 0.464106 − 0.086116I
a = 0.543273 − 1.022800I
b = 0.02622 + 1.58295I
7.96538 − 1.57261I −11.3086 + 8.7070I
u = −1.39319 + 0.69374I
a = −0.461084 − 1.248300I
b = −0.581096 + 1.245540I
−4.00617 + 8.46280I −5.19049 − 6.55936I
u = −1.39319 − 0.69374I
a = −0.461084 + 1.248300I
b = −0.581096 − 1.245540I
−4.00617 − 8.46280I −5.19049 + 6.55936I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.155343 + 0.391791I
a = −1.66987 − 1.39510I
b = 0.577970 + 0.922080I
−1.68551 − 2.26562I −8.75211 + 5.54173I
u = −0.155343 − 0.391791I
a = −1.66987 + 1.39510I
b = 0.577970 − 0.922080I
−1.68551 + 2.26562I −8.75211 − 5.54173I
u = −1.29569 + 1.10026I
a = 0.337741 + 0.796682I
b = −0.108284 − 0.871295I
0.15379 + 1.74978I 0. + 5.63835I
u = −1.29569 − 1.10026I
a = 0.337741 − 0.796682I
b = −0.108284 + 0.871295I
0.15379 − 1.74978I 0. − 5.63835I
u = 0.94400 + 1.46220I
a = −0.030392 + 1.374970I
b = −0.148889 − 1.055210I
0.89465 − 2.84407I −11.26819 + 0.I
u = 0.94400 − 1.46220I
a = −0.030392 − 1.374970I
b = −0.148889 + 1.055210I
0.89465 + 2.84407I −11.26819 + 0.I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
25(5u
26
− 11u
25
+ ··· − 6u + 1)(5u
143
− 74u
142
+ ··· + 39u − 1)
c
2
(u
26
+ 3u
25
+ ··· − u + 1)(u
143
− 6u
142
+ ··· − 1576u + 172)
c
3
(u
26
+ 9u
24
+ ··· + 21u
2
+ 1)(u
143
− u
142
+ ··· − 165495u + 28517)
c
4
(u
26
− u
25
+ ··· − 4u + 1)(u
143
+ 2u
142
+ ··· + 5u + 1)
c
5
(u
26
+ 4u
25
+ ··· + 18u + 5)
· (u
143
− 5u
142
+ ··· + 29545559u + 4359035)
c
6
(u
26
− 3u
25
+ ··· + u + 1)(u
143
− 6u
142
+ ··· − 1576u + 172)
c
7
25(5u
26
+ 13u
25
+ ··· − 11u + 7)
· (5u
143
+ 12u
142
+ ··· − 18368u + 853)
c
8
(u
26
− u
25
+ ··· − u + 1)(u
143
− 47u
141
+ ··· + 364u + 269)
c
9
25(5u
26
+ 2u
25
+ ··· + 16u
2
+ 1)
· (5u
143
+ 13u
142
+ ··· + 17013675u + 3351097)
c
10
25(5u
26
− 13u
25
+ ··· + 11u + 7)
· (5u
143
+ 12u
142
+ ··· − 18368u + 853)
c
11
(u
26
+ u
25
+ ··· + 4u + 1)(u
143
+ 2u
142
+ ··· + 5u + 1)
c
12
(u
26
+ u
25
+ ··· + u + 1)(u
143
− 47u
141
+ ··· + 364u + 269)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
625(25y
26
+ 49y
25
+ ··· + 58y + 1)
· (25y
143
+ 604y
142
+ ··· + 121y −1)
c
2
, c
6
(y
26
− 11y
25
+ ··· − 17y + 1)(y
143
− 76y
142
+ ··· + 959512y −29584)
c
3
(y
26
+ 18y
25
+ ··· + 42y + 1)
· (y
143
+ 41y
142
+ ··· − 38361226787y −813219289)
c
4
, c
11
(y
26
+ 23y
25
+ ··· + 2y + 1)(y
143
+ 86y
142
+ ··· + 121y −1)
c
5
(y
26
− 4y
25
+ ··· − 164y + 25)
· (y
143
+ 23y
142
+ ··· + 104456910942711y −19001186131225)
c
7
, c
10
625(25y
26
− 609y
25
+ ··· − 303y + 49)
· (25y
143
− 2914y
142
+ ··· + 104123750y −727609)
c
8
, c
12
(y
26
− 17y
25
+ ··· − 15y + 1)
· (y
143
− 94y
142
+ ··· + 5651838y −72361)
c
9
625(25y
26
− 104y
25
+ ··· + 32y + 1)
· (25y
143
− 1509y
142
+ ··· + 228455902797875y −11229851103409)
29
