12a
0964
(K12a
0964
)
A knot diagram
1
Linearized knot diagam
4 6 10 12 9 3 1 11 2 7 5 8
Solving Sequence
8,12 1,5
4 2 7 11 9 6 10 3
c
12
c
4
c
1
c
7
c
11
c
8
c
5
c
10
c
3
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.67140 × 10
1041
u
172
+ 3.09638 × 10
1041
u
171
+ ··· + 4.13995 × 10
1042
b − 2.35617 × 10
1044
,
− 1.43628 × 10
1045
u
172
+ 4.80688 × 10
1045
u
171
+ ··· + 1.05606 × 10
1047
a − 1.79297 × 10
1049
,
u
173
+ 56u
171
+ ··· + 10670u − 773i
I
u
2
= h1.19997 × 10
42
u
45
+ 2.62403 × 10
42
u
44
+ ··· + 5.23068 × 10
41
b + 2.29859 × 10
42
,
− 1.94564 × 10
42
u
45
− 3.70634 × 10
42
u
44
+ ··· + 5.23068 × 10
41
a − 4.20375 × 10
42
, u
46
+ u
45
+ ··· + 7u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 219 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−6.67 × 10
1041
u
172
+ 3.10 × 10
1041
u
171
+ · · · + 4.14 × 10
1042
b −
2.36 × 10
1044
, −1.44 × 10
1045
u
172
+ 4.81 × 10
1045
u
171
+ · · · + 1.06 ×
10
1047
a − 1.79 × 10
1049
, u
173
+ 56u
171
+ · · · + 10670u − 773i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
0.0136004u
172
− 0.0455171u
171
+ ··· − 2485.94u + 169.780
0.161147u
172
− 0.0747927u
171
+ ··· − 1077.27u + 56.9130
a
4
=
0.174747u
172
− 0.120310u
171
+ ··· − 3563.20u + 226.693
0.161147u
172
− 0.0747927u
171
+ ··· − 1077.27u + 56.9130
a
2
=
−0.303815u
172
+ 0.326187u
171
+ ··· + 6959.17u − 467.508
0.0438291u
172
− 0.100993u
171
+ ··· − 1973.22u + 136.971
a
7
=
−u
u
3
+ u
a
11
=
0.116379u
172
− 0.217688u
171
+ ··· − 4690.20u + 326.071
0.0203251u
172
− 0.0330088u
171
+ ··· − 807.396u + 56.8178
a
9
=
0.198840u
172
+ 0.227474u
171
+ ··· + 4526.36u − 349.016
−0.0976959u
172
− 0.0685834u
171
+ ··· − 1497.85u + 119.447
a
6
=
−0.0838203u
172
+ 0.122068u
171
+ ··· + 2178.16u − 151.864
−0.000493639u
172
− 0.0509278u
171
+ ··· − 751.488u + 53.5767
a
10
=
0.160851u
172
− 0.290478u
171
+ ··· − 6214.35u + 431.481
−0.00126672u
172
− 0.00132586u
171
+ ··· − 94.2923u + 7.67446
a
3
=
−0.178003u
172
− 0.100257u
171
+ ··· − 2553.46u + 209.740
0.119152u
172
− 0.0509618u
171
+ ··· − 1079.46u + 60.1908
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.859602u
172
− 0.0626764u
171
+ ··· + 1294.31u − 186.370
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
173
− 16u
172
+ ··· − 441583301u + 43116743
c
2
, c
6
u
173
− 60u
171
+ ··· + 941u − 46
c
3
u
173
+ u
172
+ ··· − 3987176u + 407744
c
4
, c
11
u
173
+ 2u
172
+ ··· − 87232u + 26609
c
5
u
173
− 5u
172
+ ··· − 8202271939895u + 2872546990775
c
7
, c
12
u
173
+ 56u
171
+ ··· + 10670u − 773
c
8
u
173
− 7u
172
+ ··· − 233712855u − 195784578
c
9
u
173
− 3u
172
+ ··· − 31113171u + 17614861
c
10
u
173
+ u
172
+ ··· − 7778112u − 1549121
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
173
+ 46y
172
+ ··· − 190330317939755079y −1859053526928049
c
2
, c
6
y
173
− 120y
172
+ ··· + 29145y −2116
c
3
y
173
+ 37y
172
+ ··· − 6492833858112y −166255169536
c
4
, c
11
y
173
+ 108y
172
+ ··· − 22481206172y −708038881
c
5
y
173
− 117y
172
+ ··· + 4.33 × 10
26
y −8.25 × 10
24
c
7
, c
12
y
173
+ 112y
172
+ ··· − 5655354y −597529
c
8
y
173
− 49y
172
+ ··· − 114284276837571771y −38331600982638084
c
9
y
173
+ 75y
172
+ ··· − 248969562329698517y −310283328049321
c
10
y
173
− 59y
172
+ ··· + 217933860538318y −2399775872641
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.101122 + 1.000200I
a = 0.799044 − 0.091903I
b = −0.228446 + 0.904398I
3.20434 + 4.19259I 0
u = −0.101122 − 1.000200I
a = 0.799044 + 0.091903I
b = −0.228446 − 0.904398I
3.20434 − 4.19259I 0
u = 0.479693 + 0.887297I
a = 0.583507 − 0.266915I
b = −0.171458 + 0.210995I
2.96684 + 3.72671I 0
u = 0.479693 − 0.887297I
a = 0.583507 + 0.266915I
b = −0.171458 − 0.210995I
2.96684 − 3.72671I 0
u = 0.684518 + 0.716218I
a = −1.15411 − 1.22058I
b = −0.677062 + 1.199530I
8.65635 + 8.35807I 0
u = 0.684518 − 0.716218I
a = −1.15411 + 1.22058I
b = −0.677062 − 1.199530I
8.65635 − 8.35807I 0
u = −0.245321 + 0.983911I
a = 0.103909 + 0.558063I
b = 0.551768 − 0.219856I
−1.04505 + 1.01441I 0
u = −0.245321 − 0.983911I
a = 0.103909 − 0.558063I
b = 0.551768 + 0.219856I
−1.04505 − 1.01441I 0
u = 0.247804 + 0.991903I
a = 0.313803 + 0.200311I
b = 1.58087 + 0.00415I
−2.15969 + 3.22516I 0
u = 0.247804 − 0.991903I
a = 0.313803 − 0.200311I
b = 1.58087 − 0.00415I
−2.15969 − 3.22516I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.452563 + 0.860241I
a = 1.81653 − 0.89243I
b = 0.026665 + 1.016820I
3.37257 + 0.03215I 0
u = −0.452563 − 0.860241I
a = 1.81653 + 0.89243I
b = 0.026665 − 1.016820I
3.37257 − 0.03215I 0
u = 0.502702 + 0.827109I
a = −1.26440 − 0.65185I
b = −0.72703 + 1.28142I
9.13038 − 3.72909I 0
u = 0.502702 − 0.827109I
a = −1.26440 + 0.65185I
b = −0.72703 − 1.28142I
9.13038 + 3.72909I 0
u = 1.051260 + 0.070820I
a = 0.197185 + 0.953230I
b = −0.140570 − 0.989697I
4.80380 + 0.08961I 0
u = 1.051260 − 0.070820I
a = 0.197185 − 0.953230I
b = −0.140570 + 0.989697I
4.80380 − 0.08961I 0
u = −0.888495 + 0.570057I
a = −0.68977 + 1.31626I
b = 0.457178 − 1.307230I
8.48181 + 4.86174I 0
u = −0.888495 − 0.570057I
a = −0.68977 − 1.31626I
b = 0.457178 + 1.307230I
8.48181 − 4.86174I 0
u = 0.623691 + 0.862271I
a = 1.064140 + 0.882356I
b = 0.67592 − 1.27062I
4.37248 + 2.06970I 0
u = 0.623691 − 0.862271I
a = 1.064140 − 0.882356I
b = 0.67592 + 1.27062I
4.37248 − 2.06970I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.478697 + 0.966168I
a = 0.031951 − 0.456162I
b = −1.216790 − 0.228920I
3.08104 + 4.01412I 0
u = 0.478697 − 0.966168I
a = 0.031951 + 0.456162I
b = −1.216790 + 0.228920I
3.08104 − 4.01412I 0
u = 0.194997 + 0.899230I
a = −0.544039 − 0.139825I
b = −1.65280 − 0.59175I
−1.73084 − 1.38533I 0
u = 0.194997 − 0.899230I
a = −0.544039 + 0.139825I
b = −1.65280 + 0.59175I
−1.73084 + 1.38533I 0
u = −0.357024 + 0.842769I
a = −2.10462 + 0.48586I
b = −0.072531 − 1.177410I
7.64728 + 0.79131I 0
u = −0.357024 − 0.842769I
a = −2.10462 − 0.48586I
b = −0.072531 + 1.177410I
7.64728 − 0.79131I 0
u = −0.442178 + 0.998072I
a = 1.54070 − 0.80320I
b = 0.547817 + 1.276240I
7.81986 − 5.31031I 0
u = −0.442178 − 0.998072I
a = 1.54070 + 0.80320I
b = 0.547817 − 1.276240I
7.81986 + 5.31031I 0
u = −0.269968 + 1.060710I
a = −0.879519 − 0.323573I
b = −0.815784 − 0.628932I
0.08698 − 4.07177I 0
u = −0.269968 − 1.060710I
a = −0.879519 + 0.323573I
b = −0.815784 + 0.628932I
0.08698 + 4.07177I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.314739 + 1.056770I
a = 2.52866 − 0.26316I
b = 0.073179 − 1.081650I
7.22069 + 8.60281I 0
u = 0.314739 − 1.056770I
a = 2.52866 + 0.26316I
b = 0.073179 + 1.081650I
7.22069 − 8.60281I 0
u = −0.833603 + 0.326148I
a = 0.42708 + 1.96386I
b = −0.244492 − 1.351940I
7.79715 − 5.79779I 0
u = −0.833603 − 0.326148I
a = 0.42708 − 1.96386I
b = −0.244492 + 1.351940I
7.79715 + 5.79779I 0
u = −0.301341 + 0.840893I
a = −0.53830 + 1.99359I
b = −0.06151 − 1.49244I
7.75387 − 3.72131I 0
u = −0.301341 − 0.840893I
a = −0.53830 − 1.99359I
b = −0.06151 + 1.49244I
7.75387 + 3.72131I 0
u = −0.453667 + 1.023740I
a = 0.44700 − 1.86965I
b = 0.170399 + 1.086770I
1.90394 − 5.42821I 0
u = −0.453667 − 1.023740I
a = 0.44700 + 1.86965I
b = 0.170399 − 1.086770I
1.90394 + 5.42821I 0
u = −1.056180 + 0.373954I
a = 0.51904 − 1.38830I
b = −0.308342 + 1.252450I
5.54377 + 3.23971I 0
u = −1.056180 − 0.373954I
a = 0.51904 + 1.38830I
b = −0.308342 − 1.252450I
5.54377 − 3.23971I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.419219 + 0.760453I
a = −0.316292 − 0.686285I
b = 0.37575 + 1.67854I
9.39747 + 7.61757I 0
u = 0.419219 − 0.760453I
a = −0.316292 + 0.686285I
b = 0.37575 − 1.67854I
9.39747 − 7.61757I 0
u = −0.673352 + 0.910436I
a = −1.47287 + 1.23929I
b = 0.100422 − 1.020290I
6.32263 + 0.35700I 0
u = −0.673352 − 0.910436I
a = −1.47287 − 1.23929I
b = 0.100422 + 1.020290I
6.32263 − 0.35700I 0
u = 0.822136 + 0.256646I
a = −0.573448 + 0.085165I
b = 0.250609 − 0.323257I
4.85632 + 1.10140I 0
u = 0.822136 − 0.256646I
a = −0.573448 − 0.085165I
b = 0.250609 + 0.323257I
4.85632 − 1.10140I 0
u = −0.182357 + 1.127920I
a = 0.217010 + 0.393443I
b = 0.994598 − 0.362888I
−1.094690 + 0.310966I 0
u = −0.182357 − 1.127920I
a = 0.217010 − 0.393443I
b = 0.994598 + 0.362888I
−1.094690 − 0.310966I 0
u = −0.077324 + 1.142040I
a = −0.311616 − 0.580340I
b = −0.944312 + 0.611570I
−0.116407 + 0.368331I 0
u = −0.077324 − 1.142040I
a = −0.311616 + 0.580340I
b = −0.944312 − 0.611570I
−0.116407 − 0.368331I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.083575 + 0.850499I
a = 1.39030 − 1.52020I
b = 0.46371 + 1.34921I
4.09134 − 5.22104I 0
u = −0.083575 − 0.850499I
a = 1.39030 + 1.52020I
b = 0.46371 − 1.34921I
4.09134 + 5.22104I 0
u = 0.769016 + 0.353210I
a = −0.05821 − 1.77201I
b = −0.550009 + 0.498730I
2.44169 − 1.57451I 0
u = 0.769016 − 0.353210I
a = −0.05821 + 1.77201I
b = −0.550009 − 0.498730I
2.44169 + 1.57451I 0
u = 0.803869 + 0.834560I
a = −0.294533 − 0.810299I
b = 0.402990 + 1.333650I
8.37340 − 2.83841I 0
u = 0.803869 − 0.834560I
a = −0.294533 + 0.810299I
b = 0.402990 − 1.333650I
8.37340 + 2.83841I 0
u = 0.350478 + 1.116430I
a = 0.159795 + 0.173354I
b = 1.061900 − 0.080481I
−1.55951 + 3.54758I 0
u = 0.350478 − 1.116430I
a = 0.159795 − 0.173354I
b = 1.061900 + 0.080481I
−1.55951 − 3.54758I 0
u = −0.784036 + 0.264248I
a = 0.137549 + 0.326940I
b = −0.867617 + 0.266489I
6.14304 − 2.73929I 0
u = −0.784036 − 0.264248I
a = 0.137549 − 0.326940I
b = −0.867617 − 0.266489I
6.14304 + 2.73929I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.380310 + 1.114780I
a = 0.82861 + 1.22582I
b = 0.544396 − 1.092110I
−1.26590 + 1.32865I 0
u = 0.380310 − 1.114780I
a = 0.82861 − 1.22582I
b = 0.544396 + 1.092110I
−1.26590 − 1.32865I 0
u = 0.574595 + 0.579784I
a = 0.451754 + 0.769556I
b = −0.23718 − 1.49440I
5.13086 + 2.67413I 0
u = 0.574595 − 0.579784I
a = 0.451754 − 0.769556I
b = −0.23718 + 1.49440I
5.13086 − 2.67413I 0
u = −0.514281 + 0.606847I
a = 0.55480 − 1.36906I
b = −0.33910 + 1.46356I
9.04624 + 1.39230I 0
u = −0.514281 − 0.606847I
a = 0.55480 + 1.36906I
b = −0.33910 − 1.46356I
9.04624 − 1.39230I 0
u = 0.281435 + 1.176560I
a = 1.92469 + 1.53472I
b = 0.371658 − 1.151570I
3.77356 + 9.85712I 0
u = 0.281435 − 1.176560I
a = 1.92469 − 1.53472I
b = 0.371658 + 1.151570I
3.77356 − 9.85712I 0
u = 1.213890 + 0.126123I
a = 0.00479 + 1.46473I
b = −0.329084 − 1.322340I
11.12880 − 1.34041I 0
u = 1.213890 − 0.126123I
a = 0.00479 − 1.46473I
b = −0.329084 + 1.322340I
11.12880 + 1.34041I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.052159 + 1.229410I
a = 0.171856 − 0.044206I
b = 0.909588 − 0.423999I
−3.44423 + 3.90866I 0
u = −0.052159 − 1.229410I
a = 0.171856 + 0.044206I
b = 0.909588 + 0.423999I
−3.44423 − 3.90866I 0
u = −0.589271 + 0.483308I
a = 1.88704 − 2.09536I
b = 0.020647 + 0.698886I
3.47875 + 1.29962I 0
u = −0.589271 − 0.483308I
a = 1.88704 + 2.09536I
b = 0.020647 − 0.698886I
3.47875 − 1.29962I 0
u = −0.171680 + 1.232600I
a = −0.326208 + 0.159588I
b = −0.825707 + 0.375320I
−5.72699 − 0.58473I 0
u = −0.171680 − 1.232600I
a = −0.326208 − 0.159588I
b = −0.825707 − 0.375320I
−5.72699 + 0.58473I 0
u = 0.396014 + 1.182590I
a = −1.09594 − 1.19748I
b = −0.481544 + 1.140530I
−3.27361 + 5.40598I 0
u = 0.396014 − 1.182590I
a = −1.09594 + 1.19748I
b = −0.481544 − 1.140530I
−3.27361 − 5.40598I 0
u = −0.424132 + 1.174470I
a = −0.881798 + 0.783265I
b = −0.71988 − 1.40371I
1.59980 − 6.78467I 0
u = −0.424132 − 1.174470I
a = −0.881798 − 0.783265I
b = −0.71988 + 1.40371I
1.59980 + 6.78467I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.521137 + 1.134840I
a = 0.405916 − 0.375908I
b = 1.033130 − 0.120641I
3.58510 − 2.09421I 0
u = −0.521137 − 1.134840I
a = 0.405916 + 0.375908I
b = 1.033130 + 0.120641I
3.58510 + 2.09421I 0
u = −0.504770 + 1.155220I
a = −0.247017 + 0.273555I
b = −1.201970 + 0.134151I
−0.91971 − 8.37196I 0
u = −0.504770 − 1.155220I
a = −0.247017 − 0.273555I
b = −1.201970 − 0.134151I
−0.91971 + 8.37196I 0
u = −0.725301 + 0.136755I
a = 0.255738 + 0.982537I
b = −0.811956 + 0.228409I
6.63462 + 9.54258I 0
u = −0.725301 − 0.136755I
a = 0.255738 − 0.982537I
b = −0.811956 − 0.228409I
6.63462 − 9.54258I 0
u = 1.027090 + 0.737459I
a = 0.347696 + 1.306130I
b = 0.268093 − 0.925353I
0.74259 + 2.02916I 0
u = 1.027090 − 0.737459I
a = 0.347696 − 1.306130I
b = 0.268093 + 0.925353I
0.74259 − 2.02916I 0
u = −0.690650 + 0.241656I
a = 0.110854 − 0.756190I
b = 0.837488 − 0.296594I
1.78419 + 3.78416I 0
u = −0.690650 − 0.241656I
a = 0.110854 + 0.756190I
b = 0.837488 + 0.296594I
1.78419 − 3.78416I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.125408 + 0.719449I
a = −2.29165 − 1.41579I
b = −0.153666 + 0.817661I
0.26561 − 3.42195I 0
u = −0.125408 − 0.719449I
a = −2.29165 + 1.41579I
b = −0.153666 − 0.817661I
0.26561 + 3.42195I 0
u = 0.535645 + 1.151560I
a = −0.177824 − 0.053922I
b = 0.941387 + 0.494862I
−0.06375 + 6.49667I 0
u = 0.535645 − 1.151560I
a = −0.177824 + 0.053922I
b = 0.941387 − 0.494862I
−0.06375 − 6.49667I 0
u = 0.482560 + 0.544397I
a = 0.29701 + 1.65693I
b = 0.905575 + 0.065453I
4.29599 + 0.02655I 0
u = 0.482560 − 0.544397I
a = 0.29701 − 1.65693I
b = 0.905575 − 0.065453I
4.29599 − 0.02655I 0
u = −0.848307 + 0.951378I
a = 0.308959 − 0.869786I
b = −0.307100 + 0.701940I
3.11406 + 5.21395I 0
u = −0.848307 − 0.951378I
a = 0.308959 + 0.869786I
b = −0.307100 − 0.701940I
3.11406 − 5.21395I 0
u = −0.330596 + 1.231200I
a = −0.736971 + 1.170870I
b = −0.107708 − 0.927874I
−1.391970 − 0.044694I 0
u = −0.330596 − 1.231200I
a = −0.736971 − 1.170870I
b = −0.107708 + 0.927874I
−1.391970 + 0.044694I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.025378 + 0.723224I
a = −2.08400 + 0.40584I
b = −0.611959 − 0.931876I
0.99583 − 1.47021I 0
u = −0.025378 − 0.723224I
a = −2.08400 − 0.40584I
b = −0.611959 + 0.931876I
0.99583 + 1.47021I 0
u = −0.242510 + 0.673674I
a = 0.47929 − 2.61405I
b = 0.158422 + 1.350830I
4.21950 − 3.49762I 0
u = −0.242510 − 0.673674I
a = 0.47929 + 2.61405I
b = 0.158422 − 1.350830I
4.21950 + 3.49762I 0
u = −0.508088 + 1.182210I
a = 0.152661 − 0.311853I
b = 1.250220 − 0.077158I
3.6201 − 14.2101I 0
u = −0.508088 − 1.182210I
a = 0.152661 + 0.311853I
b = 1.250220 + 0.077158I
3.6201 + 14.2101I 0
u = −0.656144 + 1.107620I
a = −0.96155 + 1.39055I
b = −0.63695 − 1.36216I
6.75134 − 10.60420I 0
u = −0.656144 − 1.107620I
a = −0.96155 − 1.39055I
b = −0.63695 + 1.36216I
6.75134 + 10.60420I 0
u = 0.617653 + 0.351928I
a = 0.53298 + 1.67637I
b = 0.267895 − 0.931217I
0.65662 + 1.85083I 0
u = 0.617653 − 0.351928I
a = 0.53298 − 1.67637I
b = 0.267895 + 0.931217I
0.65662 − 1.85083I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.207550 + 0.667038I
a = 0.844346 + 0.934657I
b = 0.546829 − 1.049050I
1.40969 + 1.79374I 0
u = −0.207550 − 0.667038I
a = 0.844346 − 0.934657I
b = 0.546829 + 1.049050I
1.40969 − 1.79374I 0
u = 1.285430 + 0.238167I
a = 0.24213 + 1.40895I
b = −0.398300 − 1.308610I
11.2060 − 13.8387I 0
u = 1.285430 − 0.238167I
a = 0.24213 − 1.40895I
b = −0.398300 + 1.308610I
11.2060 + 13.8387I 0
u = −0.002861 + 0.691839I
a = 3.90834 + 1.56696I
b = −0.048909 − 0.855926I
6.17054 − 8.30689I 0
u = −0.002861 − 0.691839I
a = 3.90834 − 1.56696I
b = −0.048909 + 0.855926I
6.17054 + 8.30689I 0
u = 0.485237 + 1.220200I
a = −0.034838 + 0.213459I
b = −0.624199 − 0.483733I
−2.47717 + 3.45164I 0
u = 0.485237 − 1.220200I
a = −0.034838 − 0.213459I
b = −0.624199 + 0.483733I
−2.47717 − 3.45164I 0
u = 1.299990 + 0.203519I
a = −0.155139 − 1.358570I
b = 0.366661 + 1.297910I
6.53257 − 7.84871I 0
u = 1.299990 − 0.203519I
a = −0.155139 + 1.358570I
b = 0.366661 − 1.297910I
6.53257 + 7.84871I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271212 + 1.287750I
a = −0.697853 + 0.474134I
b = −0.094004 + 0.903640I
0.36759 + 4.96418I 0
u = 0.271212 − 1.287750I
a = −0.697853 − 0.474134I
b = −0.094004 − 0.903640I
0.36759 − 4.96418I 0
u = −1.331630 + 0.061914I
a = −0.27099 + 1.55672I
b = 0.168055 − 1.300090I
9.75420 + 2.66468I 0
u = −1.331630 − 0.061914I
a = −0.27099 − 1.55672I
b = 0.168055 + 1.300090I
9.75420 − 2.66468I 0
u = 0.390668 + 1.278560I
a = −0.294824 − 0.240184I
b = −0.695195 + 0.474297I
0.21026 + 5.29132I 0
u = 0.390668 − 1.278560I
a = −0.294824 + 0.240184I
b = −0.695195 − 0.474297I
0.21026 − 5.29132I 0
u = −0.243991 + 1.314890I
a = 0.386945 − 0.735804I
b = 0.548844 − 0.279565I
1.14158 − 6.15699I 0
u = −0.243991 − 1.314890I
a = 0.386945 + 0.735804I
b = 0.548844 + 0.279565I
1.14158 + 6.15699I 0
u = 0.403289 + 1.285530I
a = −0.736792 − 0.142216I
b = −0.287812 + 0.815495I
0.22229 + 5.06354I 0
u = 0.403289 − 1.285530I
a = −0.736792 + 0.142216I
b = −0.287812 − 0.815495I
0.22229 − 5.06354I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522771 + 1.277770I
a = 0.607382 + 0.762819I
b = 0.587909 − 1.051250I
0.94512 + 5.40887I 0
u = 0.522771 − 1.277770I
a = 0.607382 − 0.762819I
b = 0.587909 + 1.051250I
0.94512 − 5.40887I 0
u = −0.645823 + 1.222900I
a = 0.78660 − 1.24446I
b = 0.55188 + 1.36417I
2.83877 − 9.34355I 0
u = −0.645823 − 1.222900I
a = 0.78660 + 1.24446I
b = 0.55188 − 1.36417I
2.83877 + 9.34355I 0
u = 0.212116 + 0.572279I
a = −0.48770 + 3.48325I
b = −0.067452 − 1.370420I
8.89366 − 5.97611I 0
u = 0.212116 − 0.572279I
a = −0.48770 − 3.48325I
b = −0.067452 + 1.370420I
8.89366 + 5.97611I 0
u = −0.492122 + 1.307810I
a = 0.650949 − 1.013900I
b = 0.60083 + 1.51261I
3.13023 − 10.48500I 0
u = −0.492122 − 1.307810I
a = 0.650949 + 1.013900I
b = 0.60083 − 1.51261I
3.13023 + 10.48500I 0
u = −0.586454 + 1.284770I
a = 0.165549 − 0.990884I
b = 0.092816 + 0.612008I
3.16035 + 5.32118I 0
u = −0.586454 − 1.284770I
a = 0.165549 + 0.990884I
b = 0.092816 − 0.612008I
3.16035 − 5.32118I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.79194 + 1.17609I
a = 0.62921 − 1.35332I
b = 0.595779 + 1.101820I
1.91793 − 12.10660I 0
u = −0.79194 − 1.17609I
a = 0.62921 + 1.35332I
b = 0.595779 − 1.101820I
1.91793 + 12.10660I 0
u = −0.01021 + 1.42695I
a = −1.39231 + 0.25394I
b = −0.544976 + 0.821253I
−3.72730 + 2.20545I 0
u = −0.01021 − 1.42695I
a = −1.39231 − 0.25394I
b = −0.544976 − 0.821253I
−3.72730 − 2.20545I 0
u = −0.219555 + 0.524484I
a = −0.080926 + 0.708550I
b = 0.444398 − 0.292439I
−0.875682 + 1.084970I 0
u = −0.219555 − 0.524484I
a = −0.080926 − 0.708550I
b = 0.444398 + 0.292439I
−0.875682 − 1.084970I 0
u = −0.84341 + 1.22839I
a = −0.625994 + 1.264740I
b = −0.435201 − 1.035560I
−0.77790 − 7.62134I 0
u = −0.84341 − 1.22839I
a = −0.625994 − 1.264740I
b = −0.435201 + 1.035560I
−0.77790 + 7.62134I 0
u = 0.62468 + 1.35339I
a = 1.04057 + 1.01859I
b = 0.55197 − 1.30264I
7.28669 + 7.75576I 0
u = 0.62468 − 1.35339I
a = 1.04057 − 1.01859I
b = 0.55197 + 1.30264I
7.28669 − 7.75576I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.68325 + 1.32923I
a = 0.87670 + 1.20165I
b = 0.60291 − 1.38009I
7.7516 + 20.6501I 0
u = 0.68325 − 1.32923I
a = 0.87670 − 1.20165I
b = 0.60291 + 1.38009I
7.7516 − 20.6501I 0
u = 0.499083 + 0.049771I
a = 1.29540 + 0.92520I
b = −0.300751 + 0.123542I
1.46945 + 0.50697I 6.57080 + 1.54372I
u = 0.499083 − 0.049771I
a = 1.29540 − 0.92520I
b = −0.300751 − 0.123542I
1.46945 − 0.50697I 6.57080 − 1.54372I
u = 0.67563 + 1.34001I
a = −0.88764 − 1.11376I
b = −0.59889 + 1.34655I
2.9459 + 14.6578I 0
u = 0.67563 − 1.34001I
a = −0.88764 + 1.11376I
b = −0.59889 − 1.34655I
2.9459 − 14.6578I 0
u = −0.69220 + 1.34211I
a = −0.67017 + 1.27799I
b = −0.40901 − 1.42749I
5.89032 − 9.61287I 0
u = −0.69220 − 1.34211I
a = −0.67017 − 1.27799I
b = −0.40901 + 1.42749I
5.89032 + 9.61287I 0
u = −0.74615 + 1.32928I
a = 0.790597 − 1.130670I
b = 0.172136 + 1.122760I
5.55928 − 4.66278I 0
u = −0.74615 − 1.32928I
a = 0.790597 + 1.130670I
b = 0.172136 − 1.122760I
5.55928 + 4.66278I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.08985 + 1.55973I
a = −0.467008 + 0.204551I
b = −0.064473 − 0.940951I
−1.51405 − 0.87156I 0
u = −0.08985 − 1.55973I
a = −0.467008 − 0.204551I
b = −0.064473 + 0.940951I
−1.51405 + 0.87156I 0
u = −0.350693 + 0.147460I
a = −1.52957 + 1.23271I
b = 0.25110 − 1.43853I
4.58378 + 3.20504I 5.96790 + 0.24493I
u = −0.350693 − 0.147460I
a = −1.52957 − 1.23271I
b = 0.25110 + 1.43853I
4.58378 − 3.20504I 5.96790 − 0.24493I
u = 0.87900 + 1.52385I
a = −0.322269 − 0.951989I
b = −0.143113 + 1.183330I
5.75815 + 5.90303I 0
u = 0.87900 − 1.52385I
a = −0.322269 + 0.951989I
b = −0.143113 − 1.183330I
5.75815 − 5.90303I 0
u = 0.134219
a = −15.2494
b = 0.482881
3.80016 −59.6010
u = 0.0787167 + 0.0960303I
a = 0.89835 − 8.11189I
b = −0.432958 + 0.354840I
1.88656 − 1.17805I 1.01508 − 2.08819I
u = 0.0787167 − 0.0960303I
a = 0.89835 + 8.11189I
b = −0.432958 − 0.354840I
1.88656 + 1.17805I 1.01508 + 2.08819I
u = −0.39126 + 2.01703I
a = −0.233474 + 0.818761I
b = −0.090906 − 0.914574I
−1.165250 − 0.555401I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.39126 − 2.01703I
a = −0.233474 − 0.818761I
b = −0.090906 + 0.914574I
−1.165250 + 0.555401I 0
u = 0.14743 + 2.19021I
a = −0.026240 − 0.676884I
b = 0.112895 + 0.984772I
3.92081 − 6.75553I 0
u = 0.14743 − 2.19021I
a = −0.026240 + 0.676884I
b = 0.112895 − 0.984772I
3.92081 + 6.75553I 0
22
II.
I
u
2
= h1.20×10
42
u
45
+2.62×10
42
u
44
+· · ·+5.23×10
41
b+2.30×10
42
, −1.95×
10
42
u
45
−3.71×10
42
u
44
+· · ·+5.23 ×10
41
a−4.20×10
42
, u
46
+u
45
+· · ·+7u
2
+1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
3.71966u
45
+ 7.08577u
44
+ ··· + 5.04323u + 8.03672
−2.29411u
45
− 5.01661u
44
+ ··· − 0.280576u − 4.39444
a
4
=
1.42556u
45
+ 2.06917u
44
+ ··· + 4.76266u + 3.64227
−2.29411u
45
− 5.01661u
44
+ ··· − 0.280576u − 4.39444
a
2
=
−3.56500u
45
− 5.94848u
44
+ ··· + 0.975571u − 4.27241
2.18651u
45
+ 1.11562u
44
+ ··· + 3.71938u − 2.20683
a
7
=
−u
u
3
+ u
a
11
=
2.17768u
45
+ 2.28587u
44
+ ··· − 1.72377u − 0.182148
0.573992u
45
+ 3.02698u
44
+ ··· − 0.967706u + 4.76800
a
9
=
−5.08544u
45
+ 1.42640u
44
+ ··· − 13.3756u + 6.02272
−0.970512u
45
− 3.53949u
44
+ ··· − 2.28070u − 2.88735
a
6
=
5.83854u
45
+ 1.39013u
44
+ ··· + 13.3063u − 2.97035
−1.71416u
45
+ 1.95358u
44
+ ··· − 3.11568u + 6.76348
a
10
=
3.47526u
45
+ 5.51932u
44
+ ··· − 1.07108u + 2.74083
0.491736u
45
+ 2.18311u
44
+ ··· − 0.322818u + 3.78089
a
3
=
6.56539u
45
+ 2.59037u
44
+ ··· + 16.3698u − 3.40869
−2.84634u
45
+ 1.54077u
44
+ ··· − 4.87723u + 6.26763
(ii) Obstruction class = 1
(iii) Cusp Shapes = −6.51815u
45
+ 4.89643u
44
+ ··· − 1.59728u + 21.8573
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
46
− 3u
45
+ ··· − 13u + 1
c
2
u
46
− u
45
+ ··· + 55u + 11
c
3
u
46
+ u
44
+ ··· − 4u + 1
c
4
u
46
− u
45
+ ··· − 4u + 1
c
5
u
46
− 2u
45
+ ··· + 7u + 1
c
6
u
46
+ u
45
+ ··· − 55u + 11
c
7
u
46
− u
45
+ ··· + 7u
2
+ 1
c
8
u
46
+ 16u
45
+ ··· + 780u + 61
c
9
u
46
+ 14u
44
+ ··· + 5u + 1
c
10
u
46
+ 6u
45
+ ··· − 174u + 67
c
11
u
46
+ u
45
+ ··· + 4u + 1
c
12
u
46
+ u
45
+ ··· + 7u
2
+ 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
− y
45
+ ··· − 9y + 1
c
2
, c
6
y
46
− 27y
45
+ ··· − 693y + 121
c
3
y
46
+ 2y
45
+ ··· + 44y + 1
c
4
, c
11
y
46
+ 25y
45
+ ··· − 4y + 1
c
5
y
46
− 40y
45
+ ··· − 39y + 1
c
7
, c
12
y
46
+ 45y
45
+ ··· + 14y + 1
c
8
y
46
− 16y
45
+ ··· − 5598y + 3721
c
9
y
46
+ 28y
45
+ ··· − 3y + 1
c
10
y
46
− 6y
45
+ ··· − 105450y + 4489
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.149400 + 0.998778I
a = −0.322917 − 0.257133I
b = −1.50187 + 0.60781I
−2.22184 + 1.53557I −6.64104 − 3.34325I
u = −0.149400 − 0.998778I
a = −0.322917 + 0.257133I
b = −1.50187 − 0.60781I
−2.22184 − 1.53557I −6.64104 + 3.34325I
u = −0.892628 + 0.415199I
a = −0.655199 + 1.198260I
b = 0.349631 − 1.318440I
6.72385 + 4.23064I 8.68005 − 3.42014I
u = −0.892628 − 0.415199I
a = −0.655199 − 1.198260I
b = 0.349631 + 1.318440I
6.72385 − 4.23064I 8.68005 + 3.42014I
u = −0.122868 + 0.954380I
a = 0.560768 + 0.180779I
b = 1.54369 + 0.21232I
−2.01310 − 2.64566I 2.56486 − 0.38034I
u = −0.122868 − 0.954380I
a = 0.560768 − 0.180779I
b = 1.54369 − 0.21232I
−2.01310 + 2.64566I 2.56486 + 0.38034I
u = 0.265649 + 0.894152I
a = 3.11975 + 0.36975I
b = 0.337502 − 0.873368I
5.83334 + 9.22299I 4.26611 − 10.98264I
u = 0.265649 − 0.894152I
a = 3.11975 − 0.36975I
b = 0.337502 + 0.873368I
5.83334 − 9.22299I 4.26611 + 10.98264I
u = 0.413478 + 1.077210I
a = 0.109640 + 0.430017I
b = 0.793990 + 0.174737I
1.65746 + 3.60243I 0
u = 0.413478 − 1.077210I
a = 0.109640 − 0.430017I
b = 0.793990 − 0.174737I
1.65746 − 3.60243I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.795254 + 0.142637I
a = 0.55873 − 1.99761I
b = −0.235946 + 1.326940I
8.63413 + 2.80128I 10.19793 − 2.55468I
u = −0.795254 − 0.142637I
a = 0.55873 + 1.99761I
b = −0.235946 − 1.326940I
8.63413 − 2.80128I 10.19793 + 2.55468I
u = 0.306541 + 1.164720I
a = −0.677269 + 0.487512I
b = −0.425121 + 0.454530I
−0.70814 + 4.95578I 0
u = 0.306541 − 1.164720I
a = −0.677269 − 0.487512I
b = −0.425121 − 0.454530I
−0.70814 − 4.95578I 0
u = −0.082005 + 0.762922I
a = 1.16376 + 2.01554I
b = 0.11799 − 1.45131I
8.25360 − 6.69844I 5.53639 + 5.83477I
u = −0.082005 − 0.762922I
a = 1.16376 − 2.01554I
b = 0.11799 + 1.45131I
8.25360 + 6.69844I 5.53639 − 5.83477I
u = 0.425430 + 1.190990I
a = −0.892907 − 0.419260I
b = −0.517020 + 0.887268I
−0.64223 + 5.19168I 0
u = 0.425430 − 1.190990I
a = −0.892907 + 0.419260I
b = −0.517020 − 0.887268I
−0.64223 − 5.19168I 0
u = −0.160757 + 0.701273I
a = 0.37794 − 2.09644I
b = 0.16007 + 1.43958I
3.88816 − 3.46295I −7.68533 + 4.35377I
u = −0.160757 − 0.701273I
a = 0.37794 + 2.09644I
b = 0.16007 − 1.43958I
3.88816 + 3.46295I −7.68533 − 4.35377I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.381045 + 1.226310I
a = −0.144950 + 0.226249I
b = −0.568981 + 0.045631I
−0.75498 + 4.86056I 0
u = 0.381045 − 1.226310I
a = −0.144950 − 0.226249I
b = −0.568981 − 0.045631I
−0.75498 − 4.86056I 0
u = −0.022918 + 1.338870I
a = −0.251010 − 0.591413I
b = −0.422631 + 0.408971I
−3.01942 − 0.09554I 0
u = −0.022918 − 1.338870I
a = −0.251010 + 0.591413I
b = −0.422631 − 0.408971I
−3.01942 + 0.09554I 0
u = −0.580645 + 1.214600I
a = 1.00762 − 1.35788I
b = 0.458704 + 1.324260I
5.59173 − 8.28162I 0
u = −0.580645 − 1.214600I
a = 1.00762 + 1.35788I
b = 0.458704 − 1.324260I
5.59173 + 8.28162I 0
u = −0.437975 + 0.463050I
a = −0.95547 + 2.57848I
b = −0.167227 − 1.349300I
8.40073 − 2.79415I 11.52069 + 1.74604I
u = −0.437975 − 0.463050I
a = −0.95547 − 2.57848I
b = −0.167227 + 1.349300I
8.40073 + 2.79415I 11.52069 − 1.74604I
u = 0.594284 + 0.205640I
a = −0.27816 + 2.40557I
b = 0.363807 − 0.187449I
2.66589 − 1.04907I 9.64625 − 7.31285I
u = 0.594284 − 0.205640I
a = −0.27816 − 2.40557I
b = 0.363807 + 0.187449I
2.66589 + 1.04907I 9.64625 + 7.31285I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.516492 + 0.316855I
a = 1.63027 − 2.19234I
b = 0.351636 + 0.885247I
1.97252 − 1.64305I 8.20268 + 2.22628I
u = −0.516492 − 0.316855I
a = 1.63027 + 2.19234I
b = 0.351636 − 0.885247I
1.97252 + 1.64305I 8.20268 − 2.22628I
u = −0.008375 + 1.412830I
a = −1.42977 − 0.25210I
b = −0.525862 − 0.830716I
−3.80940 − 2.14587I 0
u = −0.008375 − 1.412830I
a = −1.42977 + 0.25210I
b = −0.525862 + 0.830716I
−3.80940 + 2.14587I 0
u = −0.64317 + 1.26364I
a = −0.663411 + 1.183030I
b = −0.55147 − 1.41028I
3.90654 − 9.99635I 0
u = −0.64317 − 1.26364I
a = −0.663411 − 1.183030I
b = −0.55147 + 1.41028I
3.90654 + 9.99635I 0
u = 0.352201 + 0.307769I
a = 0.82840 − 3.08173I
b = −0.585739 − 0.074450I
3.91788 + 0.09898I −2.0635 − 14.7013I
u = 0.352201 − 0.307769I
a = 0.82840 + 3.08173I
b = −0.585739 + 0.074450I
3.91788 − 0.09898I −2.0635 + 14.7013I
u = 0.252724 + 0.362297I
a = 1.47803 + 0.50334I
b = 0.544095 + 0.842037I
1.88661 − 2.19378I 9.13558 + 4.41629I
u = 0.252724 − 0.362297I
a = 1.47803 − 0.50334I
b = 0.544095 − 0.842037I
1.88661 + 2.19378I 9.13558 − 4.41629I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.36466 + 1.66656I
a = 0.416704 + 0.754925I
b = 0.107959 − 1.123330I
4.81559 + 6.35209I 0
u = 0.36466 − 1.66656I
a = 0.416704 − 0.754925I
b = 0.107959 + 1.123330I
4.81559 − 6.35209I 0
u = 0.23371 + 1.80388I
a = 0.342643 + 0.724395I
b = −0.046343 − 0.891201I
3.61008 − 6.21409I 0
u = 0.23371 − 1.80388I
a = 0.342643 − 0.724395I
b = −0.046343 + 0.891201I
3.61008 + 6.21409I 0
u = 0.32276 + 1.95316I
a = −0.323182 − 0.802503I
b = −0.080875 + 0.945400I
−1.016310 + 0.429480I 0
u = 0.32276 − 1.95316I
a = −0.323182 + 0.802503I
b = −0.080875 − 0.945400I
−1.016310 − 0.429480I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 3u
45
+ ··· − 13u + 1)
· (u
173
− 16u
172
+ ··· − 441583301u + 43116743)
c
2
(u
46
− u
45
+ ··· + 55u + 11)(u
173
− 60u
171
+ ··· + 941u − 46)
c
3
(u
46
+ u
44
+ ··· − 4u + 1)(u
173
+ u
172
+ ··· − 3987176u + 407744)
c
4
(u
46
− u
45
+ ··· − 4u + 1)(u
173
+ 2u
172
+ ··· − 87232u + 26609)
c
5
(u
46
− 2u
45
+ ··· + 7u + 1)
· (u
173
− 5u
172
+ ··· − 8202271939895u + 2872546990775)
c
6
(u
46
+ u
45
+ ··· − 55u + 11)(u
173
− 60u
171
+ ··· + 941u − 46)
c
7
(u
46
− u
45
+ ··· + 7u
2
+ 1)(u
173
+ 56u
171
+ ··· + 10670u − 773)
c
8
(u
46
+ 16u
45
+ ··· + 780u + 61)
· (u
173
− 7u
172
+ ··· − 233712855u − 195784578)
c
9
(u
46
+ 14u
44
+ ··· + 5u + 1)
· (u
173
− 3u
172
+ ··· − 31113171u + 17614861)
c
10
(u
46
+ 6u
45
+ ··· − 174u + 67)
· (u
173
+ u
172
+ ··· − 7778112u − 1549121)
c
11
(u
46
+ u
45
+ ··· + 4u + 1)(u
173
+ 2u
172
+ ··· − 87232u + 26609)
c
12
(u
46
+ u
45
+ ··· + 7u
2
+ 1)(u
173
+ 56u
171
+ ··· + 10670u − 773)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
− y
45
+ ··· − 9y + 1)
· (y
173
+ 46y
172
+ ··· − 190330317939755079y −1859053526928049)
c
2
, c
6
(y
46
− 27y
45
+ ··· − 693y + 121)
· (y
173
− 120y
172
+ ··· + 29145y −2116)
c
3
(y
46
+ 2y
45
+ ··· + 44y + 1)
· (y
173
+ 37y
172
+ ··· − 6492833858112y −166255169536)
c
4
, c
11
(y
46
+ 25y
45
+ ··· − 4y + 1)
· (y
173
+ 108y
172
+ ··· − 22481206172y −708038881)
c
5
(y
46
− 40y
45
+ ··· − 39y + 1)
· (y
173
− 117y
172
+ ··· + 4.33 × 10
26
y −8.25 × 10
24
)
c
7
, c
12
(y
46
+ 45y
45
+ ··· + 14y + 1)
· (y
173
+ 112y
172
+ ··· − 5655354y −597529)
c
8
(y
46
− 16y
45
+ ··· − 5598y + 3721)
· (y
173
− 49y
172
+ ··· − 114284276837571771y −38331600982638084)
c
9
(y
46
+ 28y
45
+ ··· − 3y + 1)
· (y
173
+ 75y
172
+ ··· − 248969562329698517y −310283328049321)
c
10
(y
46
− 6y
45
+ ··· − 105450y + 4489)
· (y
173
− 59y
172
+ ··· + 217933860538318y −2399775872641)
34
