12a
0191
(K12a
0191
)
A knot diagram
1
Linearized knot diagam
3 5 9 8 2 10 12 1 11 7 6 4
Solving Sequence
6,10
7 11 12
2,8
5 3 1 4 9
c
6
c
10
c
11
c
7
c
5
c
2
c
1
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.52008 × 10
86
u
132
+ 3.94249 × 10
86
u
131
+ ··· + 2.40447 × 10
86
b + 4.48441 × 10
86
,
8.35432 × 10
85
u
132
+ 1.84786 × 10
86
u
131
+ ··· + 3.00559 × 10
85
a + 5.71468 × 10
85
, u
133
+ 3u
132
+ ··· + 8u + 1i
I
u
2
= hb
2
− b + 1, a + 1, u + 1i
* 2 irreducible components of dim
C
= 0, with total 135 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
= h2.52 × 10
86
u
132
+ 3.94 × 10
86
u
131
+ · · · + 2.40 × 10
86
b + 4.48 ×
10
86
, 8.35 × 10
85
u
132
+ 1.85 × 10
86
u
131
+ · · · + 3.01 × 10
85
a + 5.71 ×
10
85
, u
133
+ 3u
132
+ · · · + 8u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
−u
2
a
11
=
u
−u
3
+ u
a
12
=
u
3
−u
3
+ u
a
2
=
−2.77960u
132
− 6.14809u
131
+ ··· − 19.5449u − 1.90135
−1.04808u
132
− 1.63965u
131
+ ··· − 12.4583u − 1.86503
a
8
=
u
8
− u
6
+ u
4
+ 1
−u
8
+ 2u
6
− 2u
4
a
5
=
−1.55645u
132
− 7.01862u
131
+ ··· − 38.9986u − 5.29904
−0.441377u
132
− 0.416986u
131
+ ··· − 7.60203u − 2.08587
a
3
=
−2.59310u
132
− 8.40110u
131
+ ··· − 48.5351u − 7.64213
0.250137u
132
+ 1.15429u
131
+ ··· − 2.41571u − 1.48573
a
1
=
4.12887u
132
+ 9.16088u
131
+ ··· + 36.0661u + 3.95573
1.59710u
132
+ 4.52162u
131
+ ··· + 17.3842u + 2.23057
a
4
=
4.25425u
132
+ 6.02863u
131
+ ··· + 0.864270u − 0.604074
−4.48777u
132
− 9.82783u
131
+ ··· − 40.5969u − 6.76622
a
9
=
−u
3
u
5
− u
3
+ u
(ii) Obstruction class = −1
(iii) Cusp Shapes = 12.1017u
132
+ 39.4347u
131
+ ··· + 227.831u + 41.4535
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
133
+ 56u
132
+ ··· − 31u − 1
c
2
, c
5
u
133
+ 2u
132
+ ··· − 3u − 1
c
3
u
133
+ 2u
132
+ ··· − 51u − 1
c
4
u
133
+ 4u
132
+ ··· − 503u − 71
c
6
, c
10
u
133
− 3u
132
+ ··· + 8u − 1
c
7
u
133
− u
132
+ ··· + 149316216u − 14182609
c
8
u
133
− 7u
132
+ ··· + 4u
2
− 1
c
9
u
133
− 63u
132
+ ··· + 8u − 1
c
11
u
133
− 3u
132
+ ··· + 149248u − 14144
c
12
u
133
+ 13u
132
+ ··· + 4u − 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
133
+ 44y
132
+ ··· − 463y −1
c
2
, c
5
y
133
+ 56y
132
+ ··· − 31y −1
c
3
y
133
− 144y
132
+ ··· + 469y −1
c
4
y
133
− 148y
132
+ ··· + 609145y −5041
c
6
, c
10
y
133
− 63y
132
+ ··· + 8y −1
c
7
y
133
− 55y
132
+ ··· + 8218121135689976y −201146398046881
c
8
y
133
− 15y
132
+ ··· + 8y −1
c
9
y
133
+ 17y
132
+ ··· − 188y −1
c
11
y
133
+ 23y
132
+ ··· − 6938136960y −200052736
c
12
y
133
+ 15y
132
+ ··· − 376y −16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.938642 + 0.337279I
a = 0.20985 − 2.16393I
b = 0.390528 − 0.825680I
1.30397 − 2.83605I 0
u = −0.938642 − 0.337279I
a = 0.20985 + 2.16393I
b = 0.390528 + 0.825680I
1.30397 + 2.83605I 0
u = 0.676793 + 0.700478I
a = 1.40666 − 1.02355I
b = −0.420429 − 1.023560I
−5.04185 + 3.41791I 0
u = 0.676793 − 0.700478I
a = 1.40666 + 1.02355I
b = −0.420429 + 1.023560I
−5.04185 − 3.41791I 0
u = −0.628150 + 0.722355I
a = 1.21898 + 1.37771I
b = −0.631474 + 1.133740I
−3.83179 − 11.75880I 0
u = −0.628150 − 0.722355I
a = 1.21898 − 1.37771I
b = −0.631474 − 1.133740I
−3.83179 + 11.75880I 0
u = 0.567642 + 0.770256I
a = 0.128927 + 0.853025I
b = −0.418769 + 1.003390I
−5.10093 − 2.87602I 0
u = 0.567642 − 0.770256I
a = 0.128927 − 0.853025I
b = −0.418769 − 1.003390I
−5.10093 + 2.87602I 0
u = −1.021260 + 0.272501I
a = −5.04520 − 0.52842I
b = 0.529033 + 0.889780I
2.01730 + 1.36993I 0
u = −1.021260 − 0.272501I
a = −5.04520 + 0.52842I
b = 0.529033 − 0.889780I
2.01730 − 1.36993I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.619041 + 0.690475I
a = −0.045587 + 0.329564I
b = −0.869286 − 0.403020I
−1.64002 − 6.22274I 0
u = −0.619041 − 0.690475I
a = −0.045587 − 0.329564I
b = −0.869286 + 0.403020I
−1.64002 + 6.22274I 0
u = −1.033370 + 0.306485I
a = −3.13350 + 3.70534I
b = 0.529045 − 0.819274I
2.24662 − 2.89797I 0
u = −1.033370 − 0.306485I
a = −3.13350 − 3.70534I
b = 0.529045 + 0.819274I
2.24662 + 2.89797I 0
u = 0.447619 + 0.798125I
a = 0.353224 − 0.921347I
b = −0.327771 − 0.941641I
−4.45007 − 0.29957I 0
u = 0.447619 − 0.798125I
a = 0.353224 + 0.921347I
b = −0.327771 + 0.941641I
−4.45007 + 0.29957I 0
u = 1.073510 + 0.162208I
a = 0.112836 + 0.745408I
b = 0.006446 − 1.247370I
−1.89384 − 3.73566I 0
u = 1.073510 − 0.162208I
a = 0.112836 − 0.745408I
b = 0.006446 + 1.247370I
−1.89384 + 3.73566I 0
u = 1.061100 + 0.243227I
a = −1.74905 + 1.01661I
b = 0.688737 − 1.162250I
2.81853 − 3.85336I 0
u = 1.061100 − 0.243227I
a = −1.74905 − 1.01661I
b = 0.688737 + 1.162250I
2.81853 + 3.85336I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.906727 + 0.616271I
a = 0.099342 + 0.230960I
b = −0.350822 + 1.034860I
−4.35526 + 1.63876I 0
u = 0.906727 − 0.616271I
a = 0.099342 − 0.230960I
b = −0.350822 − 1.034860I
−4.35526 − 1.63876I 0
u = −1.058580 + 0.286836I
a = 0.498544 − 0.542479I
b = 0.124828 + 0.188943I
2.30068 − 0.56140I 0
u = −1.058580 − 0.286836I
a = 0.498544 + 0.542479I
b = 0.124828 − 0.188943I
2.30068 + 0.56140I 0
u = 1.019480 + 0.424090I
a = −0.817365 − 0.136498I
b = 0.297876 + 1.126390I
0.24508 + 5.65314I 0
u = 1.019480 − 0.424090I
a = −0.817365 + 0.136498I
b = 0.297876 − 1.126390I
0.24508 − 5.65314I 0
u = −0.550163 + 0.704374I
a = −0.14235 − 1.45370I
b = −0.099381 − 1.260370I
−7.42423 − 3.38928I 0
u = −0.550163 − 0.704374I
a = −0.14235 + 1.45370I
b = −0.099381 + 1.260370I
−7.42423 + 3.38928I 0
u = 1.071030 + 0.283668I
a = −1.77636 + 1.17552I
b = 0.954457 − 0.590743I
4.97036 − 1.30489I 0
u = 1.071030 − 0.283668I
a = −1.77636 − 1.17552I
b = 0.954457 + 0.590743I
4.97036 + 1.30489I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.341275 + 0.823182I
a = 1.22741 + 0.72538I
b = −0.517719 + 1.008110I
−3.16841 − 6.11783I 0
u = 0.341275 − 0.823182I
a = 1.22741 − 0.72538I
b = −0.517719 − 1.008110I
−3.16841 + 6.11783I 0
u = 1.057330 + 0.345227I
a = −2.41464 − 0.92687I
b = 0.776115 + 1.029020I
3.65902 + 4.97237I 0
u = 1.057330 − 0.345227I
a = −2.41464 + 0.92687I
b = 0.776115 − 1.029020I
3.65902 − 4.97237I 0
u = 1.071840 + 0.310160I
a = −1.76398 − 0.47056I
b = 0.948474 + 0.360859I
5.19875 + 2.12290I 0
u = 1.071840 − 0.310160I
a = −1.76398 + 0.47056I
b = 0.948474 − 0.360859I
5.19875 − 2.12290I 0
u = −0.365567 + 0.804751I
a = 1.25879 − 1.05621I
b = −0.663331 − 1.142380I
−2.4075 + 14.5311I 0
u = −0.365567 − 0.804751I
a = 1.25879 + 1.05621I
b = −0.663331 + 1.142380I
−2.4075 − 14.5311I 0
u = −0.812176 + 0.318124I
a = 1.47266 + 0.35071I
b = 0.215975 + 0.502125I
1.029600 − 0.175314I 0
u = −0.812176 − 0.318124I
a = 1.47266 − 0.35071I
b = 0.215975 − 0.502125I
1.029600 + 0.175314I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.956485 + 0.601189I
a = 0.881721 + 0.725739I
b = −0.825847 + 0.376564I
−0.641585 + 1.245630I 0
u = −0.956485 − 0.601189I
a = 0.881721 − 0.725739I
b = −0.825847 − 0.376564I
−0.641585 − 1.245630I 0
u = −0.359356 + 0.784698I
a = 0.190011 − 0.403009I
b = −0.922850 + 0.445182I
−0.28125 + 8.72203I 0
u = −0.359356 − 0.784698I
a = 0.190011 + 0.403009I
b = −0.922850 − 0.445182I
−0.28125 − 8.72203I 0
u = −0.401720 + 0.758509I
a = −0.267477 + 1.249090I
b = −0.038805 + 1.300870I
−6.66241 + 5.90589I 0
u = −0.401720 − 0.758509I
a = −0.267477 − 1.249090I
b = −0.038805 − 1.300870I
−6.66241 − 5.90589I 0
u = 0.560497 + 0.648811I
a = 0.524922 − 0.403750I
b = −0.424723 + 0.078114I
−2.73017 + 0.09703I 0
u = 0.560497 − 0.648811I
a = 0.524922 + 0.403750I
b = −0.424723 − 0.078114I
−2.73017 − 0.09703I 0
u = −0.960239 + 0.633625I
a = −0.0716142 − 0.1064080I
b = −0.612797 − 1.124860I
−2.84776 + 6.59074I 0
u = −0.960239 − 0.633625I
a = −0.0716142 + 0.1064080I
b = −0.612797 + 1.124860I
−2.84776 − 6.59074I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.000500 + 0.574022I
a = 0.745653 − 0.228474I
b = −0.510788 + 0.042986I
−1.43249 + 4.68363I 0
u = 1.000500 − 0.574022I
a = 0.745653 + 0.228474I
b = −0.510788 − 0.042986I
−1.43249 − 4.68363I 0
u = 1.139840 + 0.197666I
a = 1.73211 + 0.78820I
b = −0.899455 − 0.481249I
4.53074 − 6.07300I 0
u = 1.139840 − 0.197666I
a = 1.73211 − 0.78820I
b = −0.899455 + 0.481249I
4.53074 + 6.07300I 0
u = −1.032740 + 0.540075I
a = 0.959201 − 0.018023I
b = 0.495730 + 1.212150I
−0.589793 − 0.316757I 0
u = −1.032740 − 0.540075I
a = 0.959201 + 0.018023I
b = 0.495730 − 1.212150I
−0.589793 + 0.316757I 0
u = 1.157920 + 0.180871I
a = 1.88931 − 0.83451I
b = −0.668196 + 1.121420I
2.58003 − 11.84430I 0
u = 1.157920 − 0.180871I
a = 1.88931 + 0.83451I
b = −0.668196 − 1.121420I
2.58003 + 11.84430I 0
u = −1.014170 + 0.598205I
a = 1.64661 + 0.85587I
b = −0.136108 + 1.241100I
−6.05194 − 1.61446I 0
u = −1.014170 − 0.598205I
a = 1.64661 − 0.85587I
b = −0.136108 − 1.241100I
−6.05194 + 1.61446I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.186470 + 0.054021I
a = 1.189560 − 0.564974I
b = −0.431034 + 0.890623I
1.13183 − 1.75913I 0
u = −1.186470 − 0.054021I
a = 1.189560 + 0.564974I
b = −0.431034 − 0.890623I
1.13183 + 1.75913I 0
u = −0.516975 + 0.621794I
a = −0.50686 − 1.74873I
b = 0.558570 − 1.198940I
−2.11838 − 4.26875I 4.00000 + 8.90330I
u = −0.516975 − 0.621794I
a = −0.50686 + 1.74873I
b = 0.558570 + 1.198940I
−2.11838 + 4.26875I 4.00000 − 8.90330I
u = 0.326269 + 0.737922I
a = 0.581012 + 0.276327I
b = −0.384807 − 0.441827I
−1.67402 − 2.04228I 0. + 3.11343I
u = 0.326269 − 0.737922I
a = 0.581012 − 0.276327I
b = −0.384807 + 0.441827I
−1.67402 + 2.04228I 0. − 3.11343I
u = −1.164350 + 0.267658I
a = 1.57158 − 0.87908I
b = −0.431717 + 0.707305I
2.69578 − 0.90782I 0
u = −1.164350 − 0.267658I
a = 1.57158 + 0.87908I
b = −0.431717 − 0.707305I
2.69578 + 0.90782I 0
u = −1.073090 + 0.525884I
a = −0.02919 − 1.69397I
b = 0.855172 + 0.938845I
2.42996 − 1.91167I 0
u = −1.073090 − 0.525884I
a = −0.02919 + 1.69397I
b = 0.855172 − 0.938845I
2.42996 + 1.91167I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.056950 + 0.559305I
a = 0.10846 − 1.87568I
b = 0.430768 − 0.937711I
−0.51321 + 3.28432I 0
u = 1.056950 − 0.559305I
a = 0.10846 + 1.87568I
b = 0.430768 + 0.937711I
−0.51321 − 3.28432I 0
u = 0.464633 + 0.655641I
a = −1.26428 + 3.48917I
b = 0.458134 + 0.928503I
−2.25487 + 1.46344I 10.47361 + 7.88997I
u = 0.464633 − 0.655641I
a = −1.26428 − 3.48917I
b = 0.458134 − 0.928503I
−2.25487 − 1.46344I 10.47361 − 7.88997I
u = −0.376109 + 0.709583I
a = −1.00205 + 1.36804I
b = 0.644594 + 1.215780I
−1.43164 + 6.14743I 4.00000 − 9.28084I
u = −0.376109 − 0.709583I
a = −1.00205 − 1.36804I
b = 0.644594 − 1.215780I
−1.43164 − 6.14743I 4.00000 + 9.28084I
u = 1.013000 + 0.643963I
a = 1.54835 − 0.88471I
b = −0.452616 − 1.029990I
−3.77821 + 8.20381I 0
u = 1.013000 − 0.643963I
a = 1.54835 + 0.88471I
b = −0.452616 + 1.029990I
−3.77821 − 8.20381I 0
u = 0.407638 + 0.685721I
a = −2.80601 − 2.71556I
b = 0.506623 − 0.928041I
−1.98627 − 3.38011I 4.0000 − 16.6696I
u = 0.407638 − 0.685721I
a = −2.80601 + 2.71556I
b = 0.506623 + 0.928041I
−1.98627 + 3.38011I 4.0000 + 16.6696I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.081200 + 0.545165I
a = −0.03586 + 3.05446I
b = 0.524517 − 0.749014I
0.57689 + 3.95354I 0
u = 1.081200 − 0.545165I
a = −0.03586 − 3.05446I
b = 0.524517 + 0.749014I
0.57689 − 3.95354I 0
u = 1.149370 + 0.396511I
a = 1.44488 − 1.33207I
b = −0.793011 + 0.596511I
6.81136 + 5.77876I 0
u = 1.149370 − 0.396511I
a = 1.44488 + 1.33207I
b = −0.793011 − 0.596511I
6.81136 − 5.77876I 0
u = −1.091750 + 0.535401I
a = −0.60127 − 1.63173I
b = 0.986693 + 0.216479I
3.67042 − 5.02818I 0
u = −1.091750 − 0.535401I
a = −0.60127 + 1.63173I
b = 0.986693 − 0.216479I
3.67042 + 5.02818I 0
u = 1.091490 + 0.541216I
a = −0.281364 − 0.569955I
b = 0.268631 + 0.463462I
0.58808 + 6.56631I 0
u = 1.091490 − 0.541216I
a = −0.281364 + 0.569955I
b = 0.268631 − 0.463462I
0.58808 − 6.56631I 0
u = −1.201860 + 0.200635I
a = 1.54186 + 0.83855I
b = −0.514690 − 0.951900I
1.86540 + 3.13414I 0
u = −1.201860 − 0.200635I
a = 1.54186 − 0.83855I
b = −0.514690 + 0.951900I
1.86540 − 3.13414I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.084700 + 0.562327I
a = −4.28667 + 1.91345I
b = 0.524320 + 0.933011I
−0.00612 + 8.20949I 0
u = 1.084700 − 0.562327I
a = −4.28667 − 1.91345I
b = 0.524320 − 0.933011I
−0.00612 − 8.20949I 0
u = −1.097070 + 0.548031I
a = −2.18238 − 0.84343I
b = 0.987094 − 0.694444I
3.18188 − 8.50354I 0
u = −1.097070 − 0.548031I
a = −2.18238 + 0.84343I
b = 0.987094 + 0.694444I
3.18188 + 8.50354I 0
u = −1.098860 + 0.564154I
a = −2.84194 − 0.95940I
b = 0.669594 − 1.231270I
0.67683 − 11.03360I 0
u = −1.098860 − 0.564154I
a = −2.84194 + 0.95940I
b = 0.669594 + 1.231270I
0.67683 + 11.03360I 0
u = −1.150740 + 0.453999I
a = 2.31207 + 0.01912I
b = −0.720083 + 0.655606I
6.42598 − 2.29873I 0
u = −1.150740 − 0.453999I
a = 2.31207 − 0.01912I
b = −0.720083 − 0.655606I
6.42598 + 2.29873I 0
u = 1.167740 + 0.419689I
a = 2.51203 + 0.53875I
b = −0.660380 − 1.030670I
5.49722 + 11.24660I 0
u = 1.167740 − 0.419689I
a = 2.51203 − 0.53875I
b = −0.660380 + 1.030670I
5.49722 − 11.24660I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.015302 + 0.756473I
a = 0.969612 + 0.010752I
b = −0.625651 + 1.019820I
2.01993 − 7.11763I 4.28161 + 7.73107I
u = −0.015302 − 0.756473I
a = 0.969612 − 0.010752I
b = −0.625651 − 1.019820I
2.01993 + 7.11763I 4.28161 − 7.73107I
u = −0.350565 + 0.668164I
a = −0.605486 + 0.443628I
b = 0.934255 + 0.701571I
1.03385 + 3.77715I 8.53053 − 6.69546I
u = −0.350565 − 0.668164I
a = −0.605486 − 0.443628I
b = 0.934255 − 0.701571I
1.03385 − 3.77715I 8.53053 + 6.69546I
u = −1.102380 + 0.586574I
a = −1.66282 − 0.20699I
b = −0.021501 − 1.320600I
−4.59302 − 10.99800I 0
u = −1.102380 − 0.586574I
a = −1.66282 + 0.20699I
b = −0.021501 + 1.320600I
−4.59302 + 10.99800I 0
u = −1.174290 + 0.428522I
a = 0.84097 + 1.48784I
b = −0.634212 − 0.980790I
5.44043 + 2.88842I 0
u = −1.174290 − 0.428522I
a = 0.84097 − 1.48784I
b = −0.634212 + 0.980790I
5.44043 − 2.88842I 0
u = 1.090730 + 0.613399I
a = −0.445281 + 0.075190I
b = −0.276861 + 0.927174I
−2.53351 + 5.59015I 0
u = 1.090730 − 0.613399I
a = −0.445281 − 0.075190I
b = −0.276861 − 0.927174I
−2.53351 − 5.59015I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.387791 + 0.637216I
a = 0.14049 − 2.06169I
b = 0.481601 + 0.755700I
−1.42538 + 0.69993I −6.66926 − 7.86355I
u = 0.387791 − 0.637216I
a = 0.14049 + 2.06169I
b = 0.481601 − 0.755700I
−1.42538 − 0.69993I −6.66926 + 7.86355I
u = 1.126490 + 0.564886I
a = 0.448241 − 1.135260I
b = −0.502254 + 0.497735I
0.66253 + 7.00119I 0
u = 1.126490 − 0.564886I
a = 0.448241 + 1.135260I
b = −0.502254 − 0.497735I
0.66253 − 7.00119I 0
u = −1.124910 + 0.583573I
a = 0.46160 + 1.67093I
b = −0.940787 − 0.454325I
1.98268 − 13.86070I 0
u = −1.124910 − 0.583573I
a = 0.46160 − 1.67093I
b = −0.940787 + 0.454325I
1.98268 + 13.86070I 0
u = −1.129400 + 0.592064I
a = 2.86507 + 0.85762I
b = −0.672642 + 1.146480I
−0.1378 − 19.7542I 0
u = −1.129400 − 0.592064I
a = 2.86507 − 0.85762I
b = −0.672642 − 1.146480I
−0.1378 + 19.7542I 0
u = 1.142280 + 0.591448I
a = 2.55358 − 0.52254I
b = −0.543968 − 1.012680I
−0.78658 + 11.37890I 0
u = 1.142280 − 0.591448I
a = 2.55358 + 0.52254I
b = −0.543968 + 1.012680I
−0.78658 − 11.37890I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.065930 + 0.709860I
a = 1.066470 − 0.030389I
b = −0.723285 − 0.585980I
3.31959 − 1.94903I 7.17757 + 2.10356I
u = −0.065930 − 0.709860I
a = 1.066470 + 0.030389I
b = −0.723285 + 0.585980I
3.31959 + 1.94903I 7.17757 − 2.10356I
u = −0.333129 + 0.619546I
a = 0.217652 + 0.440691I
b = 0.889320 − 0.199888I
1.52478 + 0.45431I 10.33849 − 0.32979I
u = −0.333129 − 0.619546I
a = 0.217652 − 0.440691I
b = 0.889320 + 0.199888I
1.52478 − 0.45431I 10.33849 + 0.32979I
u = 0.300197 + 0.625767I
a = 0.734191 + 0.386714I
b = 0.089707 − 0.659432I
−1.56814 − 1.96120I −1.15247 + 4.15448I
u = 0.300197 − 0.625767I
a = 0.734191 − 0.386714I
b = 0.089707 + 0.659432I
−1.56814 + 1.96120I −1.15247 − 4.15448I
u = −0.421195 + 0.533366I
a = −0.124453 − 0.274473I
b = 0.803348 − 0.848011I
0.49698 − 2.48140I 6.24663 + 6.11391I
u = −0.421195 − 0.533366I
a = −0.124453 + 0.274473I
b = 0.803348 + 0.848011I
0.49698 + 2.48140I 6.24663 − 6.11391I
u = 0.373684 + 0.509492I
a = 1.293220 + 0.519846I
b = 0.265162 − 0.828504I
−1.59378 − 1.99461I −0.64184 + 4.85411I
u = 0.373684 − 0.509492I
a = 1.293220 − 0.519846I
b = 0.265162 + 0.828504I
−1.59378 + 1.99461I −0.64184 − 4.85411I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.541857
a = 1.12231
b = 0.386938
1.13637 8.34440
u = −0.220286 + 0.251966I
a = 0.884228 − 0.046461I
b = 0.639234 − 0.872441I
0.62854 − 2.45521I 2.71907 + 3.47111I
u = −0.220286 − 0.251966I
a = 0.884228 + 0.046461I
b = 0.639234 + 0.872441I
0.62854 + 2.45521I 2.71907 − 3.47111I
18
II. I
u
2
= hb
2
− b + 1, a + 1, u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
−1
a
7
=
1
−1
a
11
=
−1
0
a
12
=
−1
0
a
2
=
−1
b
a
8
=
2
−1
a
5
=
−b + 1
b − 1
a
3
=
0
b − 1
a
1
=
−1
0
a
4
=
b − 1
0
a
9
=
1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4b + 11
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
u
2
− u + 1
c
2
u
2
+ u + 1
c
6
, c
7
, c
8
c
9
(u + 1)
2
c
10
(u − 1)
2
c
11
, c
12
u
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
y
2
+ y + 1
c
6
, c
7
, c
8
c
9
, c
10
(y −1)
2
c
11
, c
12
y
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 0.500000 + 0.866025I
1.64493 + 2.02988I 9.00000 − 3.46410I
u = −1.00000
a = −1.00000
b = 0.500000 − 0.866025I
1.64493 − 2.02988I 9.00000 + 3.46410I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)(u
133
+ 56u
132
+ ··· − 31u − 1)
c
2
(u
2
+ u + 1)(u
133
+ 2u
132
+ ··· − 3u − 1)
c
3
(u
2
− u + 1)(u
133
+ 2u
132
+ ··· − 51u − 1)
c
4
(u
2
− u + 1)(u
133
+ 4u
132
+ ··· − 503u − 71)
c
5
(u
2
− u + 1)(u
133
+ 2u
132
+ ··· − 3u − 1)
c
6
((u + 1)
2
)(u
133
− 3u
132
+ ··· + 8u − 1)
c
7
((u + 1)
2
)(u
133
− u
132
+ ··· + 1.49316 × 10
8
u − 1.41826 × 10
7
)
c
8
((u + 1)
2
)(u
133
− 7u
132
+ ··· + 4u
2
− 1)
c
9
((u + 1)
2
)(u
133
− 63u
132
+ ··· + 8u − 1)
c
10
((u − 1)
2
)(u
133
− 3u
132
+ ··· + 8u − 1)
c
11
u
2
(u
133
− 3u
132
+ ··· + 149248u − 14144)
c
12
u
2
(u
133
+ 13u
132
+ ··· + 4u − 4)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)(y
133
+ 44y
132
+ ··· − 463y −1)
c
2
, c
5
(y
2
+ y + 1)(y
133
+ 56y
132
+ ··· − 31y −1)
c
3
(y
2
+ y + 1)(y
133
− 144y
132
+ ··· + 469y −1)
c
4
(y
2
+ y + 1)(y
133
− 148y
132
+ ··· + 609145y −5041)
c
6
, c
10
((y −1)
2
)(y
133
− 63y
132
+ ··· + 8y −1)
c
7
(y −1)
2
· (y
133
− 55y
132
+ ··· + 8218121135689976y −201146398046881)
c
8
((y −1)
2
)(y
133
− 15y
132
+ ··· + 8y −1)
c
9
((y −1)
2
)(y
133
+ 17y
132
+ ··· − 188y −1)
c
11
y
2
(y
133
+ 23y
132
+ ··· − 6.93814 × 10
9
y −2.00053 × 10
8
)
c
12
y
2
(y
133
+ 15y
132
+ ··· − 376y −16)
24
