12a
0593
(K12a
0593
)
A knot diagram
1
Linearized knot diagam
3 7 9 11 10 2 6 12 1 5 8 4
Solving Sequence
8,11
12
5,9
4 1 3 10 6 7 2
c
11
c
8
c
4
c
12
c
3
c
10
c
5
c
7
c
2
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.32744 × 10
451
u
113
− 2.40710 × 10
451
u
112
+ ··· + 1.44841 × 10
450
b + 2.58438 × 10
453
,
− 8.96722 × 10
451
u
113
− 1.11752 × 10
452
u
112
+ ··· + 1.88293 × 10
451
a + 4.97987 × 10
454
,
u
114
+ u
113
+ ··· − 4199u + 169i
I
u
2
= h−662u
23
− 2292u
22
+ ··· + b − 1244, −62u
23
− 199u
22
+ ··· + a − 70, u
24
+ 4u
23
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 138 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−1.33 × 10
451
u
113
− 2.41 × 10
451
u
112
+ · · · + 1.45 × 10
450
b + 2.58 ×
10
453
, −8.97 × 10
451
u
113
− 1.12 × 10
452
u
112
+ · · · + 1.88 × 10
451
a + 4.98 ×
10
454
, u
114
+ u
113
+ · · · − 4199u + 169i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
5
=
4.76238u
113
+ 5.93498u
112
+ ··· + 57206.1u − 2644.75
9.16483u
113
+ 16.6189u
112
+ ··· + 42628.9u − 1784.29
a
9
=
u
−u
3
+ u
a
4
=
−4.40245u
113
− 10.6840u
112
+ ··· + 14577.2u − 860.456
9.16483u
113
+ 16.6189u
112
+ ··· + 42628.9u − 1784.29
a
1
=
−8.31120u
113
− 14.8388u
112
+ ··· − 44660.2u + 1930.35
4.22266u
113
+ 6.63640u
112
+ ··· + 26248.2u − 1124.56
a
3
=
2.46989u
113
+ 1.67905u
112
+ ··· + 47121.3u − 2220.56
11.7433u
113
+ 21.3506u
112
+ ··· + 53279.2u − 2216.47
a
10
=
−8.93561u
113
− 15.4866u
112
+ ··· − 39386.1u + 1582.13
−1.09804u
113
− 2.20449u
112
+ ··· − 4711.19u + 204.432
a
6
=
11.2147u
113
+ 17.7407u
112
+ ··· + 97403.9u − 4477.03
−2.88475u
113
− 5.30120u
112
+ ··· − 18279.9u + 817.749
a
7
=
1.86876u
113
+ 5.06983u
112
+ ··· − 27684.6u + 1575.82
1.21836u
113
+ 2.44360u
112
+ ··· + 9086.94u − 438.831
a
2
=
5.04895u
113
+ 7.19485u
112
+ ··· + 56490.8u − 2694.95
2.89155u
113
+ 5.23139u
112
+ ··· + 10317.1u − 384.702
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.63942u
113
− 10.4925u
112
+ ··· − 42753.9u + 1828.66
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
114
+ 37u
113
+ ··· + 8270u + 361
c
2
, c
6
u
114
− u
113
+ ··· + 66u + 19
c
3
u
114
− u
113
+ ··· − 27558u + 8597
c
4
, c
5
, c
10
u
114
− u
113
+ ··· + 769u + 229
c
8
, c
11
u
114
+ u
113
+ ··· − 4199u + 169
c
9
u
114
+ 7u
113
+ ··· − 5751u + 773
c
12
u
114
+ 10u
113
+ ··· + 31u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
114
+ 91y
113
+ ··· − 5195518y + 130321
c
2
, c
6
y
114
− 37y
113
+ ··· − 8270y + 361
c
3
y
114
+ 41y
113
+ ··· + 1509941114y + 73908409
c
4
, c
5
, c
10
y
114
+ 109y
113
+ ··· − 2438475y + 52441
c
8
, c
11
y
114
− 77y
113
+ ··· − 3410251y + 28561
c
9
y
114
+ 11y
113
+ ··· + 25933727y + 597529
c
12
y
114
− 6y
113
+ ··· − 317y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.615929 + 0.781253I
a = 0.497409 + 1.316430I
b = 0.229336 + 1.327200I
−2.19312 − 0.80286I 0
u = −0.615929 − 0.781253I
a = 0.497409 − 1.316430I
b = 0.229336 − 1.327200I
−2.19312 + 0.80286I 0
u = −0.667133 + 0.720221I
a = −0.55170 − 1.32547I
b = −0.29464 − 1.41181I
−2.80844 + 4.84374I 0
u = −0.667133 − 0.720221I
a = −0.55170 + 1.32547I
b = −0.29464 + 1.41181I
−2.80844 − 4.84374I 0
u = −0.083165 + 0.969298I
a = 0.30191 + 1.77802I
b = −0.05886 + 1.42621I
−5.73613 − 2.30783I 0
u = −0.083165 − 0.969298I
a = 0.30191 − 1.77802I
b = −0.05886 − 1.42621I
−5.73613 + 2.30783I 0
u = 0.199303 + 1.011620I
a = −0.482565 + 0.090171I
b = −0.541287 − 0.234423I
3.38338 + 1.88635I 0
u = 0.199303 − 1.011620I
a = −0.482565 − 0.090171I
b = −0.541287 + 0.234423I
3.38338 − 1.88635I 0
u = 1.029690 + 0.157338I
a = −1.40100 + 1.63477I
b = 0.27627 + 1.39598I
2.65526 + 2.33990I 0
u = 1.029690 − 0.157338I
a = −1.40100 − 1.63477I
b = 0.27627 − 1.39598I
2.65526 − 2.33990I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.024990 + 0.209320I
a = 1.35036 − 1.94885I
b = −0.25017 − 1.46124I
1.25171 + 8.39723I 0
u = 1.024990 − 0.209320I
a = 1.35036 + 1.94885I
b = −0.25017 + 1.46124I
1.25171 − 8.39723I 0
u = 0.928859 + 0.161698I
a = 2.40502 − 1.28354I
b = −0.108151 − 1.331770I
−4.21976 + 0.72634I 0
u = 0.928859 − 0.161698I
a = 2.40502 + 1.28354I
b = −0.108151 + 1.331770I
−4.21976 − 0.72634I 0
u = 0.104528 + 1.054820I
a = 0.545595 + 0.008895I
b = 0.609233 + 0.283850I
2.81497 + 7.66737I 0
u = 0.104528 − 1.054820I
a = 0.545595 − 0.008895I
b = 0.609233 − 0.283850I
2.81497 − 7.66737I 0
u = −1.046020 + 0.191255I
a = 1.44286 − 0.22886I
b = −0.363035 + 0.092587I
−0.151342 − 0.849057I 0
u = −1.046020 − 0.191255I
a = 1.44286 + 0.22886I
b = −0.363035 − 0.092587I
−0.151342 + 0.849057I 0
u = −0.970784 + 0.450095I
a = −1.30721 − 0.79450I
b = 0.32285 − 1.43982I
−6.68489 − 4.21065I 0
u = −0.970784 − 0.450095I
a = −1.30721 + 0.79450I
b = 0.32285 + 1.43982I
−6.68489 + 4.21065I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.810698 + 0.432954I
a = 0.202628 − 0.599458I
b = −0.920903 + 0.203095I
2.54075 − 0.71160I 0
u = 0.810698 − 0.432954I
a = 0.202628 + 0.599458I
b = −0.920903 − 0.203095I
2.54075 + 0.71160I 0
u = 1.023850 + 0.364256I
a = 0.196299 + 0.018138I
b = −0.805218 + 0.631865I
0.14301 + 2.72086I 0
u = 1.023850 − 0.364256I
a = 0.196299 − 0.018138I
b = −0.805218 − 0.631865I
0.14301 − 2.72086I 0
u = −0.932106 + 0.575161I
a = −1.35585 − 1.29963I
b = 0.47049 − 1.38973I
−1.99711 − 9.79161I 0
u = −0.932106 − 0.575161I
a = −1.35585 + 1.29963I
b = 0.47049 + 1.38973I
−1.99711 + 9.79161I 0
u = 0.886301 + 0.177904I
a = −0.958790 + 0.030176I
b = 0.299977 − 0.805869I
1.68530 + 0.81156I 0
u = 0.886301 − 0.177904I
a = −0.958790 − 0.030176I
b = 0.299977 + 0.805869I
1.68530 − 0.81156I 0
u = 1.096330 + 0.155777I
a = 0.349444 − 0.153091I
b = −0.640241 + 0.011767I
1.91412 + 0.14155I 0
u = 1.096330 − 0.155777I
a = 0.349444 + 0.153091I
b = −0.640241 − 0.011767I
1.91412 − 0.14155I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.204601 + 1.088700I
a = −0.04636 − 1.96191I
b = 0.14327 − 1.48251I
−9.21171 − 5.39206I 0
u = 0.204601 − 1.088700I
a = −0.04636 + 1.96191I
b = 0.14327 + 1.48251I
−9.21171 + 5.39206I 0
u = −0.890644 + 0.045100I
a = −0.052295 − 1.409990I
b = −0.02763 − 1.80702I
−4.82330 − 2.68816I 0
u = −0.890644 − 0.045100I
a = −0.052295 + 1.409990I
b = −0.02763 + 1.80702I
−4.82330 + 2.68816I 0
u = −1.082640 + 0.247300I
a = −0.700461 − 0.277527I
b = 0.14713 − 1.44843I
−3.73547 + 1.71379I 0
u = −1.082640 − 0.247300I
a = −0.700461 + 0.277527I
b = 0.14713 + 1.44843I
−3.73547 − 1.71379I 0
u = −0.974635 + 0.587800I
a = 1.19374 + 1.27520I
b = −0.446194 + 1.321150I
−1.09094 − 4.33755I 0
u = −0.974635 − 0.587800I
a = 1.19374 − 1.27520I
b = −0.446194 − 1.321150I
−1.09094 + 4.33755I 0
u = 1.022500 + 0.567747I
a = −0.357556 + 0.425706I
b = 0.241012 − 0.005798I
1.46762 + 2.55476I 0
u = 1.022500 − 0.567747I
a = −0.357556 − 0.425706I
b = 0.241012 + 0.005798I
1.46762 − 2.55476I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.124171 + 0.801237I
a = 0.262300 + 0.368157I
b = 0.476108 + 0.506204I
−2.71400 + 3.15415I 0
u = −0.124171 − 0.801237I
a = 0.262300 − 0.368157I
b = 0.476108 − 0.506204I
−2.71400 − 3.15415I 0
u = 0.691651 + 0.413017I
a = −0.363132 + 0.872894I
b = 0.921323 − 0.087008I
2.22522 + 4.54137I 0
u = 0.691651 − 0.413017I
a = −0.363132 − 0.872894I
b = 0.921323 + 0.087008I
2.22522 − 4.54137I 0
u = 1.172180 + 0.252851I
a = −0.203883 − 0.552860I
b = 0.822723 − 0.995024I
6.13426 + 0.82735I 0
u = 1.172180 − 0.252851I
a = −0.203883 + 0.552860I
b = 0.822723 + 0.995024I
6.13426 − 0.82735I 0
u = 0.784232 + 0.055760I
a = −2.18183 + 0.04604I
b = 0.009117 + 1.090960I
1.69140 − 1.12954I 0
u = 0.784232 − 0.055760I
a = −2.18183 − 0.04604I
b = 0.009117 − 1.090960I
1.69140 + 1.12954I 0
u = 1.179070 + 0.298050I
a = 0.098624 + 0.486086I
b = −0.888110 + 0.951245I
5.65623 + 6.67467I 0
u = 1.179070 − 0.298050I
a = 0.098624 − 0.486086I
b = −0.888110 − 0.951245I
5.65623 − 6.67467I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.754770 + 0.158541I
a = 2.81073 − 0.22429I
b = 0.080471 − 1.203600I
0.25092 − 6.63234I 0
u = 0.754770 − 0.158541I
a = 2.81073 + 0.22429I
b = 0.080471 + 1.203600I
0.25092 + 6.63234I 0
u = −1.194920 + 0.315425I
a = −0.765723 − 0.112792I
b = 0.665832 − 0.198807I
3.74785 − 4.21859I 0
u = −1.194920 − 0.315425I
a = −0.765723 + 0.112792I
b = 0.665832 + 0.198807I
3.74785 + 4.21859I 0
u = −0.905263 + 0.845324I
a = 1.14198 + 1.70026I
b = 0.061598 + 1.135940I
0.73896 − 5.32672I 0
u = −0.905263 − 0.845324I
a = 1.14198 − 1.70026I
b = 0.061598 − 1.135940I
0.73896 + 5.32672I 0
u = −1.178950 + 0.435989I
a = 0.698407 + 0.819339I
b = −0.206326 + 1.336860I
−2.26307 − 2.78926I 0
u = −1.178950 − 0.435989I
a = 0.698407 − 0.819339I
b = −0.206326 − 1.336860I
−2.26307 + 2.78926I 0
u = −1.174080 + 0.456590I
a = 0.702787 + 0.559510I
b = −0.721070 + 0.449589I
0.41654 − 7.70311I 0
u = −1.174080 − 0.456590I
a = 0.702787 − 0.559510I
b = −0.721070 − 0.449589I
0.41654 + 7.70311I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.285800 + 0.029533I
a = 0.378419 + 0.859867I
b = −0.613109 + 0.390837I
7.22528 − 5.16974I 0
u = −1.285800 − 0.029533I
a = 0.378419 − 0.859867I
b = −0.613109 − 0.390837I
7.22528 + 5.16974I 0
u = −1.287540 + 0.045869I
a = −0.448460 + 0.697875I
b = 0.652590 + 0.277393I
7.97695 − 1.09665I 0
u = −1.287540 − 0.045869I
a = −0.448460 − 0.697875I
b = 0.652590 − 0.277393I
7.97695 + 1.09665I 0
u = −0.945999 + 0.913659I
a = −1.06231 − 1.78119I
b = −0.079723 − 1.237490I
0.569141 + 0.005416I 0
u = −0.945999 − 0.913659I
a = −1.06231 + 1.78119I
b = −0.079723 + 1.237490I
0.569141 − 0.005416I 0
u = −0.615727 + 0.294761I
a = −0.428556 − 1.178290I
b = −0.11296 − 1.63413I
−8.02432 + 0.69207I 0
u = −0.615727 − 0.294761I
a = −0.428556 + 1.178290I
b = −0.11296 + 1.63413I
−8.02432 − 0.69207I 0
u = −0.544888 + 0.406488I
a = 0.047617 + 1.088720I
b = 0.120393 + 0.662308I
−1.37711 − 1.57834I 0
u = −0.544888 − 0.406488I
a = 0.047617 − 1.088720I
b = 0.120393 − 0.662308I
−1.37711 + 1.57834I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.284210 + 0.377176I
a = 1.41226 − 0.43185I
b = −0.156583 − 1.372570I
−4.97868 + 2.83272I 0
u = 1.284210 − 0.377176I
a = 1.41226 + 0.43185I
b = −0.156583 + 1.372570I
−4.97868 − 2.83272I 0
u = −1.146530 + 0.698950I
a = 0.76290 + 1.39305I
b = −0.230741 + 1.259890I
−1.91380 − 3.32813I 0
u = −1.146530 − 0.698950I
a = 0.76290 − 1.39305I
b = −0.230741 − 1.259890I
−1.91380 + 3.32813I 0
u = −1.324660 + 0.457621I
a = −0.285909 − 0.420142I
b = 0.973458 − 0.338991I
7.97752 − 6.87847I 0
u = −1.324660 − 0.457621I
a = −0.285909 + 0.420142I
b = 0.973458 + 0.338991I
7.97752 + 6.87847I 0
u = 0.123257 + 1.403550I
a = −0.10409 + 1.72150I
b = −0.221193 + 1.388120I
−1.79811 − 4.74077I 0
u = 0.123257 − 1.403550I
a = −0.10409 − 1.72150I
b = −0.221193 − 1.388120I
−1.79811 + 4.74077I 0
u = −1.321710 + 0.493510I
a = 0.261545 + 0.515648I
b = −0.997045 + 0.398376I
7.1713 − 12.9740I 0
u = −1.321710 − 0.493510I
a = 0.261545 − 0.515648I
b = −0.997045 − 0.398376I
7.1713 + 12.9740I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.151437 + 0.568541I
a = −0.70980 − 2.38780I
b = 0.01840 − 1.53012I
−8.58657 + 1.00373I −9.67336 − 2.26580I
u = 0.151437 − 0.568541I
a = −0.70980 + 2.38780I
b = 0.01840 + 1.53012I
−8.58657 − 1.00373I −9.67336 + 2.26580I
u = 0.21157 + 1.40467I
a = 0.15674 − 1.76722I
b = 0.24631 − 1.41394I
−2.62681 − 10.83900I 0
u = 0.21157 − 1.40467I
a = 0.15674 + 1.76722I
b = 0.24631 + 1.41394I
−2.62681 + 10.83900I 0
u = 0.578644
a = −1.42841
b = 0.789035
−1.61878 −8.56050
u = 1.30100 + 0.58654I
a = 1.21667 − 1.14541I
b = −0.27428 − 1.46985I
−5.71734 + 11.33810I 0
u = 1.30100 − 0.58654I
a = 1.21667 + 1.14541I
b = −0.27428 + 1.46985I
−5.71734 − 11.33810I 0
u = −1.12830 + 0.90283I
a = −0.80001 − 1.74731I
b = 0.089446 − 1.370280I
−3.09821 − 3.72510I 0
u = −1.12830 − 0.90283I
a = −0.80001 + 1.74731I
b = 0.089446 + 1.370280I
−3.09821 + 3.72510I 0
u = 1.36627 + 0.49296I
a = −1.081190 + 0.812807I
b = 0.255427 + 1.375260I
−1.24937 + 7.55347I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.36627 − 0.49296I
a = −1.081190 − 0.812807I
b = 0.255427 − 1.375260I
−1.24937 − 7.55347I 0
u = 1.37067 + 0.68598I
a = 0.93177 − 1.36528I
b = −0.38758 − 1.50301I
1.1049 + 17.9517I 0
u = 1.37067 − 0.68598I
a = 0.93177 + 1.36528I
b = −0.38758 + 1.50301I
1.1049 − 17.9517I 0
u = 1.38834 + 0.65934I
a = −0.90646 + 1.27871I
b = 0.38463 + 1.46884I
2.22638 + 11.73880I 0
u = 1.38834 − 0.65934I
a = −0.90646 − 1.27871I
b = 0.38463 − 1.46884I
2.22638 − 11.73880I 0
u = 1.48662 + 0.42897I
a = 0.064113 − 0.426733I
b = −0.621512 − 0.342282I
7.34917 − 1.48690I 0
u = 1.48662 − 0.42897I
a = 0.064113 + 0.426733I
b = −0.621512 + 0.342282I
7.34917 + 1.48690I 0
u = 0.056513 + 0.447666I
a = 0.498450 − 0.101396I
b = −0.309136 − 0.414941I
0.196435 + 1.158330I 2.50739 − 5.70797I
u = 0.056513 − 0.447666I
a = 0.498450 + 0.101396I
b = −0.309136 + 0.414941I
0.196435 − 1.158330I 2.50739 + 5.70797I
u = −1.29569 + 0.85412I
a = 0.52835 + 1.70685I
b = −0.26208 + 1.42777I
1.69472 − 1.80971I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.29569 − 0.85412I
a = 0.52835 − 1.70685I
b = −0.26208 − 1.42777I
1.69472 + 1.80971I 0
u = −1.28101 + 0.89628I
a = −0.56555 − 1.76675I
b = 0.22604 − 1.45907I
1.40397 − 7.43468I 0
u = −1.28101 − 0.89628I
a = −0.56555 + 1.76675I
b = 0.22604 + 1.45907I
1.40397 + 7.43468I 0
u = 1.47988 + 0.50605I
a = −0.106858 + 0.478864I
b = 0.540071 + 0.391729I
7.38699 + 4.52222I 0
u = 1.47988 − 0.50605I
a = −0.106858 − 0.478864I
b = 0.540071 − 0.391729I
7.38699 − 4.52222I 0
u = 1.60710 + 0.08084I
a = −0.151314 + 0.122056I
b = 0.040749 + 1.164810I
6.00938 + 3.46840I 0
u = 1.60710 − 0.08084I
a = −0.151314 − 0.122056I
b = 0.040749 − 1.164810I
6.00938 − 3.46840I 0
u = 0.243339 + 0.087278I
a = 2.74907 + 2.86676I
b = −0.557833 − 0.402134I
3.18391 + 1.00848I 3.69601 − 5.87181I
u = 0.243339 − 0.087278I
a = 2.74907 − 2.86676I
b = −0.557833 + 0.402134I
3.18391 − 1.00848I 3.69601 + 5.87181I
u = 0.223083 + 0.061158I
a = −3.99627 − 2.93106I
b = 0.626185 + 0.335656I
2.60115 − 4.47713I 1.031371 − 0.364225I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.223083 − 0.061158I
a = −3.99627 + 2.93106I
b = 0.626185 − 0.335656I
2.60115 + 4.47713I 1.031371 + 0.364225I
u = 0.160729
a = −4.42924
b = 0.521213
−1.68578 −5.65210
u = −2.05822 + 0.09386I
a = 0.018988 + 0.947390I
b = −0.009945 + 1.203210I
5.59629 − 3.22792I 0
u = −2.05822 − 0.09386I
a = 0.018988 − 0.947390I
b = −0.009945 − 1.203210I
5.59629 + 3.22792I 0
16
II. I
u
2
= h−662u
23
− 2292u
22
+ · · · + b − 1244, −62u
23
− 199u
22
+ · · · + a −
70, u
24
+ 4u
23
+ · · · + 4u + 1i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
12
=
1
−u
2
a
5
=
62u
23
+ 199u
22
+ ··· + 242u + 70
662u
23
+ 2292u
22
+ ··· + 2624u + 1244
a
9
=
u
−u
3
+ u
a
4
=
−600u
23
− 2093u
22
+ ··· − 2382u − 1174
662u
23
+ 2292u
22
+ ··· + 2624u + 1244
a
1
=
−10u
23
− 34u
22
+ ··· − 34u − 25
−u
23
− 3u
22
+ ··· + 7u
2
− 4u
a
3
=
−294u
23
− 1034u
22
+ ··· − 1162u − 592
882u
23
+ 3055u
22
+ ··· + 3490u + 1661
a
10
=
19u
23
+ 71u
22
+ ··· + 58u + 56
−u
23
− 4u
22
+ ··· + 4u − 5
a
6
=
592u
23
+ 2074u
22
+ ··· + 2426u + 1206
−1244u
23
− 4314u
22
+ ··· − 4945u − 2352
a
7
=
210u
23
+ 753u
22
+ ··· + 897u + 505
−56u
23
− 205u
22
+ ··· − 228u − 167
a
2
=
−97u
23
− 354u
22
+ ··· − 369u − 235
31u
23
+ 117u
22
+ ··· + 92u + 90
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 310u
23
+ 973u
22
− 1792u
21
− 8740u
20
+ 933u
19
+ 33304u
18
+ 17723u
17
− 71662u
16
−
67759u
15
+ 96415u
14
+ 132375u
13
− 82136u
12
− 166039u
11
+ 39516u
10
+ 143802u
9
−
3640u
8
− 87139u
7
− 8894u
6
+ 36680u
5
+ 5817u
4
− 9593u
3
− 1708u
2
+ 1185u + 257
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 10u
23
+ ··· − 15u + 1
c
2
u
24
− 5u
22
+ ··· + u + 1
c
3
u
24
+ 6u
22
+ ··· + u + 1
c
4
, c
5
u
24
+ 14u
22
+ ··· − 2u + 1
c
6
u
24
− 5u
22
+ ··· − u + 1
c
7
u
24
+ 10u
23
+ ··· + 15u + 1
c
8
u
24
− 4u
23
+ ··· − 4u + 1
c
9
u
24
+ u
22
+ ··· − 2u + 1
c
10
u
24
+ 14u
22
+ ··· + 2u + 1
c
11
u
24
+ 4u
23
+ ··· + 4u + 1
c
12
u
24
− 3u
23
+ ··· + 2u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
24
+ 18y
23
+ ··· + 5y + 1
c
2
, c
6
y
24
− 10y
23
+ ··· − 15y + 1
c
3
y
24
+ 12y
23
+ ··· + 9y + 1
c
4
, c
5
, c
10
y
24
+ 28y
23
+ ··· + 8y + 1
c
8
, c
11
y
24
− 22y
23
+ ··· − 24y + 1
c
9
y
24
+ 2y
23
+ ··· + 14y + 1
c
12
y
24
− 3y
23
+ ··· − 2y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.734779 + 0.615670I
a = 1.20071 + 2.53699I
b = −0.245629 + 1.363790I
−0.65264 − 8.29295I −1.40268 + 7.66212I
u = −0.734779 − 0.615670I
a = 1.20071 − 2.53699I
b = −0.245629 − 1.363790I
−0.65264 + 8.29295I −1.40268 − 7.66212I
u = 0.970679 + 0.424271I
a = −0.212657 + 0.089470I
b = 0.364977 − 0.517927I
1.10081 + 1.95260I −1.00629 − 1.06556I
u = 0.970679 − 0.424271I
a = −0.212657 − 0.089470I
b = 0.364977 + 0.517927I
1.10081 − 1.95260I −1.00629 + 1.06556I
u = 0.912951 + 0.147356I
a = 1.337870 + 0.126400I
b = −0.355393 + 0.242419I
−0.342607 + 0.335807I −1.59920 + 2.95447I
u = 0.912951 − 0.147356I
a = 1.337870 − 0.126400I
b = −0.355393 − 0.242419I
−0.342607 − 0.335807I −1.59920 − 2.95447I
u = −0.796166 + 0.753307I
a = −0.83899 − 2.24961I
b = 0.239069 − 1.311440I
0.29114 − 2.84510I 0.50461 + 2.79345I
u = −0.796166 − 0.753307I
a = −0.83899 + 2.24961I
b = 0.239069 + 1.311440I
0.29114 + 2.84510I 0.50461 − 2.79345I
u = −1.111070 + 0.411864I
a = 1.73055 + 1.11108I
b = −0.109220 + 1.342840I
−4.29792 − 1.85770I −1.48208 + 2.04728I
u = −1.111070 − 0.411864I
a = 1.73055 − 1.11108I
b = −0.109220 − 1.342840I
−4.29792 + 1.85770I −1.48208 − 2.04728I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.715260 + 0.355546I
a = −0.443872 + 1.223040I
b = 0.587944 − 0.473918I
3.44608 − 0.13330I 6.29284 − 1.62604I
u = 0.715260 − 0.355546I
a = −0.443872 − 1.223040I
b = 0.587944 + 0.473918I
3.44608 + 0.13330I 6.29284 + 1.62604I
u = 0.697997 + 0.282751I
a = 0.96679 − 1.36730I
b = −0.624523 + 0.399144I
2.98881 + 5.14667I 6.33048 − 8.26793I
u = 0.697997 − 0.282751I
a = 0.96679 + 1.36730I
b = −0.624523 − 0.399144I
2.98881 − 5.14667I 6.33048 + 8.26793I
u = −0.605144 + 0.046634I
a = 0.69008 + 1.47727I
b = −0.03893 + 1.62612I
−7.69203 − 1.26132I 0.28620 + 6.65774I
u = −0.605144 − 0.046634I
a = 0.69008 − 1.47727I
b = −0.03893 − 1.62612I
−7.69203 + 1.26132I 0.28620 − 6.65774I
u = −1.21569 + 0.84491I
a = −0.68313 − 1.43082I
b = 0.153427 − 1.256270I
−1.62771 − 3.81805I 3.13427 + 9.98891I
u = −1.21569 − 0.84491I
a = −0.68313 + 1.43082I
b = 0.153427 + 1.256270I
−1.62771 + 3.81805I 3.13427 − 9.98891I
u = −0.514337 + 0.015914I
a = 0.363430 − 0.216929I
b = −0.01752 + 1.71543I
−5.69682 + 2.48240I −6.48286 − 2.40568I
u = −0.514337 − 0.015914I
a = 0.363430 + 0.216929I
b = −0.01752 − 1.71543I
−5.69682 − 2.48240I −6.48286 + 2.40568I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56102 + 0.09205I
a = −0.006524 − 0.615192I
b = 0.031257 − 0.602155I
7.45147 + 3.16786I 8.34392 + 0.I
u = 1.56102 − 0.09205I
a = −0.006524 + 0.615192I
b = 0.031257 + 0.602155I
7.45147 − 3.16786I 8.34392 + 0.I
u = −1.88073 + 0.12774I
a = −0.104260 − 0.645886I
b = 0.014533 − 1.236720I
5.03142 − 3.33718I 0
u = −1.88073 − 0.12774I
a = −0.104260 + 0.645886I
b = 0.014533 + 1.236720I
5.03142 + 3.33718I 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 10u
23
+ ··· − 15u + 1)(u
114
+ 37u
113
+ ··· + 8270u + 361)
c
2
(u
24
− 5u
22
+ ··· + u + 1)(u
114
− u
113
+ ··· + 66u + 19)
c
3
(u
24
+ 6u
22
+ ··· + u + 1)(u
114
− u
113
+ ··· − 27558u + 8597)
c
4
, c
5
(u
24
+ 14u
22
+ ··· − 2u + 1)(u
114
− u
113
+ ··· + 769u + 229)
c
6
(u
24
− 5u
22
+ ··· − u + 1)(u
114
− u
113
+ ··· + 66u + 19)
c
7
(u
24
+ 10u
23
+ ··· + 15u + 1)(u
114
+ 37u
113
+ ··· + 8270u + 361)
c
8
(u
24
− 4u
23
+ ··· − 4u + 1)(u
114
+ u
113
+ ··· − 4199u + 169)
c
9
(u
24
+ u
22
+ ··· − 2u + 1)(u
114
+ 7u
113
+ ··· − 5751u + 773)
c
10
(u
24
+ 14u
22
+ ··· + 2u + 1)(u
114
− u
113
+ ··· + 769u + 229)
c
11
(u
24
+ 4u
23
+ ··· + 4u + 1)(u
114
+ u
113
+ ··· − 4199u + 169)
c
12
(u
24
− 3u
23
+ ··· + 2u + 1)(u
114
+ 10u
113
+ ··· + 31u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
24
+ 18y
23
+ ··· + 5y + 1)
· (y
114
+ 91y
113
+ ··· − 5195518y + 130321)
c
2
, c
6
(y
24
− 10y
23
+ ··· − 15y + 1)(y
114
− 37y
113
+ ··· − 8270y + 361)
c
3
(y
24
+ 12y
23
+ ··· + 9y + 1)
· (y
114
+ 41y
113
+ ··· + 1509941114y + 73908409)
c
4
, c
5
, c
10
(y
24
+ 28y
23
+ ··· + 8y + 1)
· (y
114
+ 109y
113
+ ··· − 2438475y + 52441)
c
8
, c
11
(y
24
− 22y
23
+ ··· − 24y + 1)
· (y
114
− 77y
113
+ ··· − 3410251y + 28561)
c
9
(y
24
+ 2y
23
+ ··· + 14y + 1)
· (y
114
+ 11y
113
+ ··· + 25933727y + 597529)
c
12
(y
24
− 3y
23
+ ··· − 2y + 1)(y
114
− 6y
113
+ ··· − 317y + 1)
24
