12a
1096
(K12a
1096
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 12 11 3 6 5 2 8 9
Solving Sequence
3,7 8,11
12 2 6 9 5 10 4 1
c
7
c
11
c
2
c
6
c
8
c
5
c
10
c
3
c
1
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.80914 × 10
961
u
171
+ 1.79843 × 10
961
u
170
+ ··· + 7.62520 × 10
962
b − 2.39787 × 10
966
,
− 2.31980 × 10
966
u
171
− 1.92030 × 10
966
u
170
+ ··· + 6.27020 × 10
966
a + 1.72930 × 10
971
,
u
172
− 50u
170
+ ··· + 24120u + 74007i
I
u
2
= h−5.15815 × 10
26
u
36
+ 2.11275 × 10
26
u
35
+ ··· + 4.28196 × 10
25
b − 7.24553 × 10
26
,
− 1.49365 × 10
27
u
36
+ 8.00234 × 10
26
u
35
+ ··· + 4.28196 × 10
25
a − 3.46005 × 10
27
, u
37
− u
36
+ ··· + 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 209 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
= h1.81 × 10
961
u
171
+ 1.80 × 10
961
u
170
+ · · · + 7.63 × 10
962
b − 2.40 ×
10
966
, −2.32 × 10
966
u
171
− 1.92 × 10
966
u
170
+ · · · + 6.27 × 10
966
a + 1.73 ×
10
971
, u
172
− 50u
170
+ · · · + 24120u + 74007i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
0.369973u
171
+ 0.306258u
170
+ ··· − 41770.3u − 27579.6
−0.0237258u
171
− 0.0235853u
170
+ ··· + 2274.90u + 3144.67
a
12
=
0.0801750u
171
+ 0.0701081u
170
+ ··· − 9277.69u − 8058.99
0.214417u
171
+ 0.185788u
170
+ ··· − 24868.1u − 14332.1
a
2
=
−u
u
a
6
=
−0.116749u
171
− 0.0884275u
170
+ ··· + 10576.9u + 6108.56
0.00487777u
171
− 0.00935276u
170
+ ··· + 2795.37u + 3971.83
a
9
=
−0.206611u
171
− 0.296700u
170
+ ··· + 15684.9u + 19751.0
0.218769u
171
+ 0.274949u
170
+ ··· − 19308.1u − 19958.5
a
5
=
0.0142311u
171
+ 0.0188741u
170
+ ··· − 3030.69u − 2555.15
0.368988u
171
+ 0.357759u
170
+ ··· − 39066.5u − 28688.6
a
10
=
0.0859178u
171
+ 0.0620963u
170
+ ··· − 9327.55u − 6659.80
0.260329u
171
+ 0.220577u
170
+ ··· − 30167.9u − 17775.1
a
4
=
−0.0430210u
171
− 0.0850699u
170
+ ··· + 2192.62u + 4621.27
−0.0662657u
171
− 0.0164058u
170
+ ··· + 10891.5u + 5135.15
a
1
=
0.143934u
171
+ 0.138978u
170
+ ··· − 13771.4u − 11391.8
0.0192585u
171
+ 0.00519459u
170
+ ··· − 2742.25u + 179.012
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0528030u
171
+ 0.682581u
170
+ ··· − 15889.4u − 58849.8
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
172
− 9u
171
+ ··· − 100u + 1
c
2
, c
7
u
172
− 50u
170
+ ··· − 24120u + 74007
c
3
u
172
+ 7u
171
+ ··· − 919920u − 65828
c
5
u
172
− 7u
171
+ ··· + 10616u − 167
c
6
u
172
− 7u
171
+ ··· − 87748249u − 53910283
c
8
u
172
− 19u
171
+ ··· + 285466u − 10697
c
9
u
172
− 11u
171
+ ··· − 160u − 7
c
10
u
172
− 7u
171
+ ··· + 503175069u − 16162283
c
11
u
172
− 4u
171
+ ··· + 77660u − 9916
c
12
u
172
− 18u
170
+ ··· + 1012767u + 106551
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
172
+ 127y
171
+ ··· − 3840y + 1
c
2
, c
7
y
172
− 100y
171
+ ··· − 159358760424y + 5477036049
c
3
y
172
− 23y
171
+ ··· + 56985557264y + 4333325584
c
5
y
172
+ 9y
171
+ ··· − 70838234y + 27889
c
6
y
172
+ 47y
171
+ ··· + 2003456514376098053y + 2906318613140089
c
8
y
172
+ 37y
171
+ ··· + 5944665142y + 114425809
c
9
y
172
− 21y
171
+ ··· − 3648y + 49
c
10
y
172
− 53y
171
+ ··· − 88286474877028847y + 261219391772089
c
11
y
172
− 12y
171
+ ··· − 3415353792y + 98327056
c
12
y
172
− 36y
171
+ ··· − 1103499684081y + 11353115601
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.964700 + 0.292936I
a = 0.975586 + 0.348053I
b = −2.03350 + 0.07508I
2.75116 − 11.23960I 0
u = −0.964700 − 0.292936I
a = 0.975586 − 0.348053I
b = −2.03350 − 0.07508I
2.75116 + 11.23960I 0
u = −0.963724 + 0.227184I
a = −0.72179 − 2.61850I
b = 0.461935 + 0.786477I
−0.66871 − 6.23689I 0
u = −0.963724 − 0.227184I
a = −0.72179 + 2.61850I
b = 0.461935 − 0.786477I
−0.66871 + 6.23689I 0
u = −0.954904 + 0.236922I
a = 0.46983 + 2.19175I
b = −0.072423 − 1.127430I
−0.89758 − 1.41134I 0
u = −0.954904 − 0.236922I
a = 0.46983 − 2.19175I
b = −0.072423 + 1.127430I
−0.89758 + 1.41134I 0
u = 0.978570 + 0.079158I
a = −1.22031 + 1.55246I
b = −0.398043 − 0.997722I
6.95288 + 0.33712I 0
u = 0.978570 − 0.079158I
a = −1.22031 − 1.55246I
b = −0.398043 + 0.997722I
6.95288 − 0.33712I 0
u = 0.817320 + 0.541096I
a = −0.002993 − 1.051400I
b = 0.338375 + 0.341192I
−3.13276 + 2.18455I 0
u = 0.817320 − 0.541096I
a = −0.002993 + 1.051400I
b = 0.338375 − 0.341192I
−3.13276 − 2.18455I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.920977 + 0.328617I
a = 0.24862 − 2.48894I
b = 1.17628 + 1.16599I
3.09198 − 2.40359I 0
u = −0.920977 − 0.328617I
a = 0.24862 + 2.48894I
b = 1.17628 − 1.16599I
3.09198 + 2.40359I 0
u = −0.875584 + 0.426153I
a = 0.35185 + 2.28506I
b = −1.77192 − 0.47812I
3.21409 − 1.23569I 0
u = −0.875584 − 0.426153I
a = 0.35185 − 2.28506I
b = −1.77192 + 0.47812I
3.21409 + 1.23569I 0
u = 1.022970 + 0.082774I
a = 2.55671 − 4.44659I
b = −2.44884 + 4.07782I
5.06247 + 0.18677I 0
u = 1.022970 − 0.082774I
a = 2.55671 + 4.44659I
b = −2.44884 − 4.07782I
5.06247 − 0.18677I 0
u = −0.862990 + 0.421595I
a = 0.02548 − 2.91685I
b = 2.18244 + 1.13167I
3.04420 − 2.37891I 0
u = −0.862990 − 0.421595I
a = 0.02548 + 2.91685I
b = 2.18244 − 1.13167I
3.04420 + 2.37891I 0
u = 0.875550 + 0.392754I
a = 0.786018 − 0.096425I
b = −1.51763 − 0.22252I
−2.17919 + 7.01592I 0
u = 0.875550 − 0.392754I
a = 0.786018 + 0.096425I
b = −1.51763 + 0.22252I
−2.17919 − 7.01592I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.172939 + 0.941887I
a = −0.064330 − 0.189557I
b = 0.572184 − 1.130890I
5.89144 + 6.63249I 0
u = −0.172939 − 0.941887I
a = −0.064330 + 0.189557I
b = 0.572184 + 1.130890I
5.89144 − 6.63249I 0
u = −0.107387 + 1.036830I
a = 0.092726 + 0.492378I
b = −0.596190 + 0.404651I
0.49611 + 6.13968I 0
u = −0.107387 − 1.036830I
a = 0.092726 − 0.492378I
b = −0.596190 − 0.404651I
0.49611 − 6.13968I 0
u = 0.793137 + 0.533960I
a = 3.19346 − 0.78504I
b = −2.04681 − 2.58728I
3.49762 + 2.24763I 0
u = 0.793137 − 0.533960I
a = 3.19346 + 0.78504I
b = −2.04681 + 2.58728I
3.49762 − 2.24763I 0
u = −1.024410 + 0.239856I
a = −0.625377 + 0.524991I
b = 1.55133 − 0.60014I
1.10082 − 4.32017I 0
u = −1.024410 − 0.239856I
a = −0.625377 − 0.524991I
b = 1.55133 + 0.60014I
1.10082 + 4.32017I 0
u = 0.989545 + 0.375351I
a = −0.13531 + 2.44805I
b = 0.841861 − 0.882838I
2.33287 + 11.95800I 0
u = 0.989545 − 0.375351I
a = −0.13531 − 2.44805I
b = 0.841861 + 0.882838I
2.33287 − 11.95800I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.191349 + 0.921721I
a = 0.325367 + 0.296801I
b = −0.798596 + 1.093130I
5.15871 + 5.55476I 0
u = −0.191349 − 0.921721I
a = 0.325367 − 0.296801I
b = −0.798596 − 1.093130I
5.15871 − 5.55476I 0
u = −0.076399 + 0.931460I
a = 0.265746 − 0.158479I
b = −0.639497 − 0.764185I
0.51328 − 4.95208I 0
u = −0.076399 − 0.931460I
a = 0.265746 + 0.158479I
b = −0.639497 + 0.764185I
0.51328 + 4.95208I 0
u = 1.055090 + 0.196563I
a = −0.195584 − 0.828098I
b = −1.085730 + 0.203329I
4.06990 + 3.68396I 0
u = 1.055090 − 0.196563I
a = −0.195584 + 0.828098I
b = −1.085730 − 0.203329I
4.06990 − 3.68396I 0
u = 1.019260 + 0.336203I
a = 0.19413 − 2.10816I
b = −0.426830 + 0.794188I
0.08505 + 5.22252I 0
u = 1.019260 − 0.336203I
a = 0.19413 + 2.10816I
b = −0.426830 − 0.794188I
0.08505 − 5.22252I 0
u = −0.926804 + 0.543578I
a = 0.318142 + 1.178230I
b = −0.575167 − 0.096626I
1.14850 − 5.32375I 0
u = −0.926804 − 0.543578I
a = 0.318142 − 1.178230I
b = −0.575167 + 0.096626I
1.14850 + 5.32375I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.922533 + 0.030689I
a = −0.90945 + 2.70218I
b = 0.178466 − 0.609427I
3.12091 − 2.97083I 0
u = 0.922533 − 0.030689I
a = −0.90945 − 2.70218I
b = 0.178466 + 0.609427I
3.12091 + 2.97083I 0
u = 0.384419 + 1.028210I
a = 0.289827 − 0.257171I
b = −0.478982 − 0.471261I
−3.61770 − 1.57098I 0
u = 0.384419 − 1.028210I
a = 0.289827 + 0.257171I
b = −0.478982 + 0.471261I
−3.61770 + 1.57098I 0
u = −0.851953 + 0.692232I
a = 0.560991 − 0.374997I
b = −0.524833 + 0.438019I
0.98838 − 3.03345I 0
u = −0.851953 − 0.692232I
a = 0.560991 + 0.374997I
b = −0.524833 − 0.438019I
0.98838 + 3.03345I 0
u = −0.234705 + 1.078150I
a = −0.594100 + 0.368032I
b = 0.073000 − 1.086100I
4.56793 − 6.81801I 0
u = −0.234705 − 1.078150I
a = −0.594100 − 0.368032I
b = 0.073000 + 1.086100I
4.56793 + 6.81801I 0
u = 0.872907 + 0.153996I
a = −1.71422 + 0.93870I
b = 2.43501 − 0.14376I
3.83042 − 0.10224I 0
u = 0.872907 − 0.153996I
a = −1.71422 − 0.93870I
b = 2.43501 + 0.14376I
3.83042 + 0.10224I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.863990
a = −2.90275
b = 3.21456
−0.389279 0
u = 0.706838 + 0.483941I
a = −0.00231 − 1.60088I
b = −0.204006 + 0.555484I
−3.01818 + 1.93722I 0
u = 0.706838 − 0.483941I
a = −0.00231 + 1.60088I
b = −0.204006 − 0.555484I
−3.01818 − 1.93722I 0
u = 0.763136 + 0.389107I
a = −0.016397 − 0.289324I
b = 1.028330 + 0.054689I
−2.88525 + 1.77108I 0
u = 0.763136 − 0.389107I
a = −0.016397 + 0.289324I
b = 1.028330 − 0.054689I
−2.88525 − 1.77108I 0
u = −0.262892 + 1.122820I
a = −0.317959 + 0.190352I
b = 0.620283 − 1.000440I
−1.77198 + 8.65727I 0
u = −0.262892 − 1.122820I
a = −0.317959 − 0.190352I
b = 0.620283 + 1.000440I
−1.77198 − 8.65727I 0
u = −1.123670 + 0.292269I
a = 0.452417 + 1.320160I
b = −1.04168 − 0.96564I
1.75624 − 1.02826I 0
u = −1.123670 − 0.292269I
a = 0.452417 − 1.320160I
b = −1.04168 + 0.96564I
1.75624 + 1.02826I 0
u = 0.247179 + 1.146480I
a = −0.354117 − 0.020364I
b = 0.667944 + 1.130900I
3.7432 − 14.4462I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.247179 − 1.146480I
a = −0.354117 + 0.020364I
b = 0.667944 − 1.130900I
3.7432 + 14.4462I 0
u = −0.734054 + 0.920918I
a = 0.295683 − 0.200482I
b = −0.228363 + 0.507838I
0.35821 − 2.76036I 0
u = −0.734054 − 0.920918I
a = 0.295683 + 0.200482I
b = −0.228363 − 0.507838I
0.35821 + 2.76036I 0
u = 0.993002 + 0.649235I
a = −0.949053 − 0.856763I
b = −0.34801 + 1.48887I
2.04143 + 2.66005I 0
u = 0.993002 − 0.649235I
a = −0.949053 + 0.856763I
b = −0.34801 − 1.48887I
2.04143 − 2.66005I 0
u = 1.180530 + 0.207973I
a = −0.82274 − 1.22355I
b = −0.406322 + 0.880790I
5.26768 + 2.40234I 0
u = 1.180530 − 0.207973I
a = −0.82274 + 1.22355I
b = −0.406322 − 0.880790I
5.26768 − 2.40234I 0
u = −0.794646
a = 0.785338
b = −0.984600
1.47413 0
u = −0.759202 + 0.219056I
a = 0.207764 + 1.113070I
b = 0.947762 − 0.691845I
−1.54285 − 0.77077I 0
u = −0.759202 − 0.219056I
a = 0.207764 − 1.113070I
b = 0.947762 + 0.691845I
−1.54285 + 0.77077I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.761165 + 0.165324I
a = 0.86259 + 1.23546I
b = −0.327115 + 0.073352I
3.63716 − 2.40162I 0
u = 0.761165 − 0.165324I
a = 0.86259 − 1.23546I
b = −0.327115 − 0.073352I
3.63716 + 2.40162I 0
u = 0.406159 + 1.151580I
a = −0.322438 + 0.319443I
b = 0.0179030 + 0.0423138I
0.93286 + 6.43221I 0
u = 0.406159 − 1.151580I
a = −0.322438 − 0.319443I
b = 0.0179030 − 0.0423138I
0.93286 − 6.43221I 0
u = −0.748034 + 0.199528I
a = −0.310593 − 0.044034I
b = −1.170470 + 0.535341I
−1.38205 + 4.12662I 0
u = −0.748034 − 0.199528I
a = −0.310593 + 0.044034I
b = −1.170470 − 0.535341I
−1.38205 − 4.12662I 0
u = 0.616333 + 0.455268I
a = −0.19878 + 2.00161I
b = 0.783215 − 0.629072I
−2.87832 − 3.41524I 0
u = 0.616333 − 0.455268I
a = −0.19878 − 2.00161I
b = 0.783215 + 0.629072I
−2.87832 + 3.41524I 0
u = −1.202840 + 0.292535I
a = 1.36403 − 0.75728I
b = 0.253233 + 0.566737I
7.31974 − 3.48694I 0
u = −1.202840 − 0.292535I
a = 1.36403 + 0.75728I
b = 0.253233 − 0.566737I
7.31974 + 3.48694I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.413604 + 0.637867I
a = 0.321617 − 0.017591I
b = 1.042600 + 0.166683I
−0.221733 + 0.853474I 0
u = −0.413604 − 0.637867I
a = 0.321617 + 0.017591I
b = 1.042600 − 0.166683I
−0.221733 − 0.853474I 0
u = −1.172260 + 0.416264I
a = −0.934491 + 0.813732I
b = −0.546379 − 0.903178I
9.04792 − 4.11732I 0
u = −1.172260 − 0.416264I
a = −0.934491 − 0.813732I
b = −0.546379 + 0.903178I
9.04792 + 4.11732I 0
u = −0.663732 + 0.361188I
a = −1.19846 − 2.38131I
b = 1.106020 + 0.502190I
1.86992 + 8.36990I 0
u = −0.663732 − 0.361188I
a = −1.19846 + 2.38131I
b = 1.106020 − 0.502190I
1.86992 − 8.36990I 0
u = 0.378796 + 1.186580I
a = 0.192579 + 0.205960I
b = −0.317579 + 0.707096I
2.98236 + 5.30662I 0
u = 0.378796 − 1.186580I
a = 0.192579 − 0.205960I
b = −0.317579 − 0.707096I
2.98236 − 5.30662I 0
u = −1.097650 + 0.592715I
a = 0.537908 − 1.061220I
b = 0.301158 + 1.192340I
1.71572 − 2.82211I 0
u = −1.097650 − 0.592715I
a = 0.537908 + 1.061220I
b = 0.301158 − 1.192340I
1.71572 + 2.82211I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.568650 + 0.492527I
a = −0.029925 − 0.248759I
b = −1.28758 − 0.67294I
1.06014 − 8.37650I 0
u = 0.568650 − 0.492527I
a = −0.029925 + 0.248759I
b = −1.28758 + 0.67294I
1.06014 + 8.37650I 0
u = 0.128627 + 1.245240I
a = 0.212905 + 0.031597I
b = −0.486503 − 0.875009I
−0.13557 − 5.95186I 0
u = 0.128627 − 1.245240I
a = 0.212905 − 0.031597I
b = −0.486503 + 0.875009I
−0.13557 + 5.95186I 0
u = 1.204130 + 0.354190I
a = 0.17818 + 1.78115I
b = 0.52408 − 1.73822I
9.57006 + 3.70434I 0
u = 1.204130 − 0.354190I
a = 0.17818 − 1.78115I
b = 0.52408 + 1.73822I
9.57006 − 3.70434I 0
u = 0.696978 + 0.242961I
a = 1.47898 − 1.89587I
b = −1.230770 − 0.240428I
3.70072 + 2.25576I 0
u = 0.696978 − 0.242961I
a = 1.47898 + 1.89587I
b = −1.230770 + 0.240428I
3.70072 − 2.25576I 0
u = 1.044530 + 0.727694I
a = 0.76989 + 1.36285I
b = 0.05136 − 1.63609I
7.68152 + 2.93230I 0
u = 1.044530 − 0.727694I
a = 0.76989 − 1.36285I
b = 0.05136 + 1.63609I
7.68152 − 2.93230I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.282410 + 0.041119I
a = −0.39210 + 1.42284I
b = −0.459625 − 1.270400I
9.28508 − 2.77002I 0
u = −1.282410 − 0.041119I
a = −0.39210 − 1.42284I
b = −0.459625 + 1.270400I
9.28508 + 2.77002I 0
u = −0.113706 + 0.699484I
a = 0.505354 − 0.192685I
b = 0.462668 + 0.656433I
−0.08263 − 1.68639I 0
u = −0.113706 − 0.699484I
a = 0.505354 + 0.192685I
b = 0.462668 − 0.656433I
−0.08263 + 1.68639I 0
u = −0.066006 + 0.700504I
a = 0.775993 − 0.605908I
b = −0.255746 − 0.951457I
5.83074 + 0.01892I 0
u = −0.066006 − 0.700504I
a = 0.775993 + 0.605908I
b = −0.255746 + 0.951457I
5.83074 − 0.01892I 0
u = −0.438512 + 0.549553I
a = 0.928596 − 0.895860I
b = 0.291030 + 0.780302I
0.10175 − 1.86374I 0
u = −0.438512 − 0.549553I
a = 0.928596 + 0.895860I
b = 0.291030 − 0.780302I
0.10175 + 1.86374I 0
u = −0.394539 + 1.241500I
a = 0.361171 − 0.345430I
b = −0.332453 + 0.964994I
−2.15196 + 0.74490I 0
u = −0.394539 − 1.241500I
a = 0.361171 + 0.345430I
b = −0.332453 − 0.964994I
−2.15196 − 0.74490I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.014504 + 0.694159I
a = 0.047813 − 0.680929I
b = 0.776069 + 0.314637I
−1.40914 − 1.89710I 0
u = −0.014504 − 0.694159I
a = 0.047813 + 0.680929I
b = 0.776069 − 0.314637I
−1.40914 + 1.89710I 0
u = 1.282920 + 0.348434I
a = −0.834958 − 0.711274I
b = −0.046286 + 1.038770I
9.88041 − 1.30736I 0
u = 1.282920 − 0.348434I
a = −0.834958 + 0.711274I
b = −0.046286 − 1.038770I
9.88041 + 1.30736I 0
u = 0.106206 + 1.344770I
a = −0.199040 − 0.526640I
b = 0.183824 + 0.891175I
−1.026260 − 0.540986I 0
u = 0.106206 − 1.344770I
a = −0.199040 + 0.526640I
b = 0.183824 − 0.891175I
−1.026260 + 0.540986I 0
u = 1.260820 + 0.480942I
a = 0.04573 + 1.70953I
b = 0.90256 − 1.46246I
4.46584 + 9.82433I 0
u = 1.260820 − 0.480942I
a = 0.04573 − 1.70953I
b = 0.90256 + 1.46246I
4.46584 − 9.82433I 0
u = −1.234500 + 0.563258I
a = 0.25573 − 1.75985I
b = 1.06757 + 1.61602I
8.32741 − 10.95430I 0
u = −1.234500 − 0.563258I
a = 0.25573 + 1.75985I
b = 1.06757 − 1.61602I
8.32741 + 10.95430I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.316300 + 0.360720I
a = 0.685408 + 1.072370I
b = 0.058204 − 1.246820I
10.65970 − 2.15773I 0
u = 1.316300 − 0.360720I
a = 0.685408 − 1.072370I
b = 0.058204 + 1.246820I
10.65970 + 2.15773I 0
u = 1.222000 + 0.609681I
a = 0.121479 + 1.097280I
b = 0.835533 − 1.039860I
−0.86898 + 7.47158I 0
u = 1.222000 − 0.609681I
a = 0.121479 − 1.097280I
b = 0.835533 + 1.039860I
−0.86898 − 7.47158I 0
u = −1.245180 + 0.565642I
a = −0.47057 + 1.59724I
b = −0.88939 − 1.49864I
9.1480 − 12.0870I 0
u = −1.245180 − 0.565642I
a = −0.47057 − 1.59724I
b = −0.88939 + 1.49864I
9.1480 + 12.0870I 0
u = 1.288320 + 0.468655I
a = −0.30468 − 1.57850I
b = −0.695267 + 1.166280I
4.06967 + 6.19215I 0
u = 1.288320 − 0.468655I
a = −0.30468 + 1.57850I
b = −0.695267 − 1.166280I
4.06967 − 6.19215I 0
u = 1.359200 + 0.192350I
a = 0.692951 + 1.049260I
b = 0.035918 − 0.792671I
4.42121 − 4.14669I 0
u = 1.359200 − 0.192350I
a = 0.692951 − 1.049260I
b = 0.035918 + 0.792671I
4.42121 + 4.14669I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.329050 + 0.512688I
a = 0.279965 − 0.460923I
b = 0.940553 + 0.408901I
−1.74470 − 1.85010I 0
u = 0.329050 − 0.512688I
a = 0.279965 + 0.460923I
b = 0.940553 − 0.408901I
−1.74470 + 1.85010I 0
u = −0.583984 + 0.172489I
a = 0.95214 + 2.60228I
b = −0.385446 − 0.866889I
−0.23848 + 2.14040I 0
u = −0.583984 − 0.172489I
a = 0.95214 − 2.60228I
b = −0.385446 + 0.866889I
−0.23848 − 2.14040I 0
u = 1.389020 + 0.146518I
a = −0.478045 − 1.208220I
b = −0.389533 + 0.752883I
5.15924 + 3.41728I 0
u = 1.389020 − 0.146518I
a = −0.478045 + 1.208220I
b = −0.389533 − 0.752883I
5.15924 − 3.41728I 0
u = 1.342100 + 0.408057I
a = 0.786352 + 1.070250I
b = 0.428698 − 0.916190I
9.5891 + 11.7077I 0
u = 1.342100 − 0.408057I
a = 0.786352 − 1.070250I
b = 0.428698 + 0.916190I
9.5891 − 11.7077I 0
u = −1.293450 + 0.569473I
a = −0.094894 − 1.148400I
b = 1.13100 + 1.07085I
4.13960 − 11.87180I 0
u = −1.293450 − 0.569473I
a = −0.094894 + 1.148400I
b = 1.13100 − 1.07085I
4.13960 + 11.87180I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36721 + 0.36583I
a = 0.710859 − 1.185490I
b = 0.196770 + 0.866968I
4.53672 − 4.96013I 0
u = −1.36721 − 0.36583I
a = 0.710859 + 1.185490I
b = 0.196770 − 0.866968I
4.53672 + 4.96013I 0
u = −1.36879 + 0.36482I
a = −0.19589 − 1.52974I
b = 0.78345 + 1.53980I
8.69291 − 10.15650I 0
u = −1.36879 − 0.36482I
a = −0.19589 + 1.52974I
b = 0.78345 − 1.53980I
8.69291 + 10.15650I 0
u = −1.34908 + 0.43259I
a = −0.528886 + 0.619742I
b = −0.274280 − 0.733500I
4.67210 − 0.41065I 0
u = −1.34908 − 0.43259I
a = −0.528886 − 0.619742I
b = −0.274280 + 0.733500I
4.67210 + 0.41065I 0
u = 1.40452 + 0.21340I
a = 0.542403 − 0.648617I
b = −1.061320 + 0.804395I
6.08435 − 0.77361I 0
u = 1.40452 − 0.21340I
a = 0.542403 + 0.648617I
b = −1.061320 − 0.804395I
6.08435 + 0.77361I 0
u = −1.28821 + 0.62289I
a = −0.29398 + 1.60437I
b = −0.78483 − 1.41202I
1.5073 − 14.8500I 0
u = −1.28821 − 0.62289I
a = −0.29398 − 1.60437I
b = −0.78483 + 1.41202I
1.5073 + 14.8500I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.30468 + 0.63755I
a = −0.29906 − 1.59774I
b = −0.90695 + 1.55221I
7.0974 + 20.7704I 0
u = 1.30468 − 0.63755I
a = −0.29906 + 1.59774I
b = −0.90695 − 1.55221I
7.0974 − 20.7704I 0
u = −1.30406 + 0.67002I
a = 0.33239 − 1.39521I
b = 0.58103 + 1.34183I
0.94731 − 7.48790I 0
u = −1.30406 − 0.67002I
a = 0.33239 + 1.39521I
b = 0.58103 − 1.34183I
0.94731 + 7.48790I 0
u = 1.37479 + 0.56391I
a = −0.20987 − 1.53893I
b = −0.465872 + 1.187300I
3.48753 + 6.95909I 0
u = 1.37479 − 0.56391I
a = −0.20987 + 1.53893I
b = −0.465872 − 1.187300I
3.48753 − 6.95909I 0
u = −1.47793 + 0.24153I
a = 0.590504 − 0.844374I
b = 0.108201 + 0.967796I
9.92316 + 9.35974I 0
u = −1.47793 − 0.24153I
a = 0.590504 + 0.844374I
b = 0.108201 − 0.967796I
9.92316 − 9.35974I 0
u = 1.36363 + 0.61941I
a = 0.195419 + 1.387570I
b = 0.83459 − 1.34054I
3.79278 + 12.44250I 0
u = 1.36363 − 0.61941I
a = 0.195419 − 1.387570I
b = 0.83459 + 1.34054I
3.79278 − 12.44250I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41792 + 0.58848I
a = −0.333791 + 1.307440I
b = −0.244156 − 1.336360I
8.30124 + 0.43046I 0
u = −1.41792 − 0.58848I
a = −0.333791 − 1.307440I
b = −0.244156 + 1.336360I
8.30124 − 0.43046I 0
u = −1.27861 + 0.89240I
a = −0.301371 + 0.399456I
b = −0.476870 − 0.828460I
6.31769 − 4.00639I 0
u = −1.27861 − 0.89240I
a = −0.301371 − 0.399456I
b = −0.476870 + 0.828460I
6.31769 + 4.00639I 0
u = −0.226994 + 0.336093I
a = 1.166190 + 0.653299I
b = −0.488822 + 0.774835I
1.48420 − 0.54956I 7.79676 + 1.77226I
u = −0.226994 − 0.336093I
a = 1.166190 − 0.653299I
b = −0.488822 − 0.774835I
1.48420 + 0.54956I 7.79676 − 1.77226I
u = −1.58094 + 0.30318I
a = −0.104197 + 0.851319I
b = −0.479251 − 0.915304I
5.93635 − 0.24994I 0
u = −1.58094 − 0.30318I
a = −0.104197 − 0.851319I
b = −0.479251 + 0.915304I
5.93635 + 0.24994I 0
u = 1.54977 + 0.53219I
a = −0.169142 − 0.565903I
b = −0.602286 + 0.624438I
6.95363 + 2.04174I 0
u = 1.54977 − 0.53219I
a = −0.169142 + 0.565903I
b = −0.602286 − 0.624438I
6.95363 − 2.04174I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.141937 + 0.306447I
a = −3.75197 + 0.30839I
b = 0.860735 + 0.855888I
3.61762 + 0.94929I 3.18662 − 0.49723I
u = 0.141937 − 0.306447I
a = −3.75197 − 0.30839I
b = 0.860735 − 0.855888I
3.61762 − 0.94929I 3.18662 + 0.49723I
22
II.
I
u
2
= h−5.16×10
26
u
36
+2.11×10
26
u
35
+· · ·+4.28×10
25
b−7.25×10
26
, −1.49×
10
27
u
36
+8.00×10
26
u
35
+· · ·+4.28×10
25
a−3.46×10
27
, u
37
−u
36
+· · ·+4u−1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
34.8825u
36
− 18.6885u
35
+ ··· − 126.573u + 80.8054
12.0462u
36
− 4.93408u
35
+ ··· − 42.2956u + 16.9211
a
12
=
15.6065u
36
− 11.3243u
35
+ ··· − 54.3841u + 47.6904
19.2938u
36
− 6.92245u
35
+ ··· − 70.6668u + 28.8329
a
2
=
−u
u
a
6
=
52.0221u
36
− 26.0704u
35
+ ··· − 180.902u + 111.626
1.26508u
36
− 4.40718u
35
+ ··· − 18.8223u + 11.8887
a
9
=
18.6133u
36
− 25.7077u
35
+ ··· − 46.8370u + 31.4353
−14.2106u
36
+ 27.6238u
35
+ ··· + 28.6247u − 44.3755
a
5
=
−38.9027u
36
+ 24.0824u
35
+ ··· + 162.448u − 89.5858
16.0171u
36
− 15.4564u
35
+ ··· − 69.8178u + 53.0890
a
10
=
21.9261u
36
− 13.9303u
35
+ ··· − 80.2773u + 57.4993
25.0026u
36
− 9.69226u
35
+ ··· − 88.5914u + 40.2272
a
4
=
57.3789u
36
− 29.0460u
35
+ ··· − 231.390u + 126.183
−15.4608u
36
+ 3.18647u
35
+ ··· + 56.2952u − 25.2985
a
1
=
−1.22036u
36
+ 8.97019u
35
+ ··· − 15.7267u − 16.7138
−23.9466u
36
+ 10.2153u
35
+ ··· + 113.117u − 57.2269
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
4145742269465005398723933597
8563915592479650821076149
u
36
+
1197809155734591171992034685
8563915592479650821076149
u
35
+
··· +
14297753455477247096134113741
8563915592479650821076149
u −
6104467221327877481124634139
8563915592479650821076149
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
37
− 4u
36
+ ··· + 122u + 17
c
2
u
37
+ u
36
+ ··· + 4u + 1
c
3
u
37
− 6u
36
+ ··· − 20u − 4
c
4
u
37
+ 4u
36
+ ··· + 122u − 17
c
5
u
37
− 4u
36
+ ··· + 2u − 1
c
6
u
37
− 2u
36
+ ··· − 147u − 47
c
7
u
37
− u
36
+ ··· + 4u − 1
c
8
u
37
+ 3u
35
+ ··· + 8u + 1
c
9
u
37
+ 2u
36
+ ··· + 4u + 1
c
10
u
37
+ 4u
36
+ ··· − 7u − 1
c
11
u
37
− 3u
36
+ ··· + 40u + 4
c
12
u
37
+ 5u
36
+ ··· + 13u − 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
37
+ 24y
36
+ ··· + 37120y −289
c
2
, c
7
y
37
− 19y
36
+ ··· + 28y −1
c
3
y
37
− 6y
36
+ ··· + 256y −16
c
5
y
37
− 10y
36
+ ··· − 18y −1
c
6
y
37
− 8y
36
+ ··· − 8941y −2209
c
8
y
37
+ 6y
36
+ ··· − 14y −1
c
9
y
37
− 16y
36
+ ··· − 16y −1
c
10
y
37
+ 8y
36
+ ··· + 3y −1
c
11
y
37
+ y
36
+ ··· + 176y −16
c
12
y
37
+ y
36
+ ··· + 49y −1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.868897 + 0.466119I
a = 0.359936 + 1.153070I
b = 0.419098 − 0.294302I
−2.23451 − 1.92723I 2.95996 + 3.69743I
u = −0.868897 − 0.466119I
a = 0.359936 − 1.153070I
b = 0.419098 + 0.294302I
−2.23451 + 1.92723I 2.95996 − 3.69743I
u = −1.011700 + 0.109493I
a = 1.76940 + 3.43691I
b = −1.59397 − 2.88463I
5.09089 − 0.25295I 15.3810 + 27.5250I
u = −1.011700 − 0.109493I
a = 1.76940 − 3.43691I
b = −1.59397 + 2.88463I
5.09089 + 0.25295I 15.3810 − 27.5250I
u = −1.030510 + 0.181993I
a = −0.93707 + 1.46769I
b = −0.34362 − 1.43816I
9.70352 − 0.75780I 11.79132 + 0.53207I
u = −1.030510 − 0.181993I
a = −0.93707 − 1.46769I
b = −0.34362 + 1.43816I
9.70352 + 0.75780I 11.79132 − 0.53207I
u = −0.809265 + 0.465487I
a = −2.74341 − 2.65628I
b = 3.47425 − 1.03275I
3.39822 − 2.30035I −32.3748 − 18.4188I
u = −0.809265 − 0.465487I
a = −2.74341 + 2.65628I
b = 3.47425 + 1.03275I
3.39822 + 2.30035I −32.3748 + 18.4188I
u = 0.949083 + 0.500792I
a = −1.24149 − 1.62990I
b = −0.58128 + 1.99059I
2.79088 + 2.17415I 11.1768 + 9.7870I
u = 0.949083 − 0.500792I
a = −1.24149 + 1.62990I
b = −0.58128 − 1.99059I
2.79088 − 2.17415I 11.1768 − 9.7870I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853290
a = −2.72968
b = 3.02989
−0.402605 −250.070
u = 0.777113 + 0.865803I
a = −0.349153 − 0.545400I
b = 0.088786 + 0.485872I
0.11736 + 3.04359I −7.93231 − 11.10173I
u = 0.777113 − 0.865803I
a = −0.349153 + 0.545400I
b = 0.088786 − 0.485872I
0.11736 − 3.04359I −7.93231 + 11.10173I
u = 0.159024 + 0.745057I
a = −0.880528 − 0.376498I
b = 0.510100 + 0.551892I
−2.94113 + 0.19141I −3.10948 − 0.94285I
u = 0.159024 − 0.745057I
a = −0.880528 + 0.376498I
b = 0.510100 − 0.551892I
−2.94113 − 0.19141I −3.10948 + 0.94285I
u = 0.733999 + 0.133081I
a = −0.62590 − 2.19007I
b = −0.567697 + 0.020454I
2.48908 + 3.32802I −0.62028 − 7.56302I
u = 0.733999 − 0.133081I
a = −0.62590 + 2.19007I
b = −0.567697 − 0.020454I
2.48908 − 3.32802I −0.62028 + 7.56302I
u = −0.140565 + 1.322530I
a = 0.146825 − 0.491027I
b = −0.214917 + 0.915721I
−0.995197 + 0.718534I 0. − 21.6445I
u = −0.140565 − 1.322530I
a = 0.146825 + 0.491027I
b = −0.214917 − 0.915721I
−0.995197 − 0.718534I 0. + 21.6445I
u = 1.324870 + 0.156924I
a = −0.67784 − 1.27418I
b = −0.326473 + 0.750865I
5.42437 + 3.34960I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.324870 − 0.156924I
a = −0.67784 + 1.27418I
b = −0.326473 − 0.750865I
5.42437 − 3.34960I 0
u = 0.535131 + 0.392681I
a = −1.58221 − 0.92506I
b = 0.704929 + 0.389191I
−0.39962 + 3.31374I 0.74989 − 5.47054I
u = 0.535131 − 0.392681I
a = −1.58221 + 0.92506I
b = 0.704929 − 0.389191I
−0.39962 − 3.31374I 0.74989 + 5.47054I
u = −0.208798 + 1.321690I
a = 0.0410725 + 0.0316765I
b = −0.387407 − 0.610779I
1.09399 − 7.05725I 0
u = −0.208798 − 1.321690I
a = 0.0410725 − 0.0316765I
b = −0.387407 + 0.610779I
1.09399 + 7.05725I 0
u = 1.304570 + 0.464905I
a = −0.06285 + 1.50068I
b = 1.11772 − 1.19566I
6.13841 + 12.36180I 0
u = 1.304570 − 0.464905I
a = −0.06285 − 1.50068I
b = 1.11772 + 1.19566I
6.13841 − 12.36180I 0
u = 1.300740 + 0.518086I
a = −0.637488 − 0.402995I
b = −0.418074 + 0.591317I
6.14412 + 2.97297I 0
u = 1.300740 − 0.518086I
a = −0.637488 + 0.402995I
b = −0.418074 − 0.591317I
6.14412 − 2.97297I 0
u = −1.38472 + 0.50428I
a = 0.17262 − 1.53331I
b = 0.521331 + 1.143030I
3.73253 − 7.03810I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.38472 − 0.50428I
a = 0.17262 + 1.53331I
b = 0.521331 − 1.143030I
3.73253 + 7.03810I 0
u = −0.471764 + 0.154879I
a = 0.51318 − 2.06019I
b = −0.907380 − 0.227460I
−1.78263 − 5.14251I 0.53228 + 6.37632I
u = −0.471764 − 0.154879I
a = 0.51318 + 2.06019I
b = −0.907380 + 0.227460I
−1.78263 + 5.14251I 0.53228 − 6.37632I
u = 0.443160 + 0.045273I
a = 2.02126 − 2.50570I
b = −1.385580 − 0.169240I
1.96273 − 9.55532I 5.13332 + 8.37912I
u = 0.443160 − 0.045273I
a = 2.02126 + 2.50570I
b = −1.385580 + 0.169240I
1.96273 + 9.55532I 5.13332 − 8.37912I
u = −1.52812 + 0.32652I
a = 0.078480 + 0.864836I
b = −0.624749 − 0.955673I
6.52645 + 0.14083I 0
u = −1.52812 − 0.32652I
a = 0.078480 − 0.864836I
b = −0.624749 + 0.955673I
6.52645 − 0.14083I 0
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 4u
36
+ ··· + 122u + 17)(u
172
− 9u
171
+ ··· − 100u + 1)
c
2
(u
37
+ u
36
+ ··· + 4u + 1)(u
172
− 50u
170
+ ··· − 24120u + 74007)
c
3
(u
37
− 6u
36
+ ··· − 20u − 4)(u
172
+ 7u
171
+ ··· − 919920u − 65828)
c
4
(u
37
+ 4u
36
+ ··· + 122u − 17)(u
172
− 9u
171
+ ··· − 100u + 1)
c
5
(u
37
− 4u
36
+ ··· + 2u − 1)(u
172
− 7u
171
+ ··· + 10616u − 167)
c
6
(u
37
− 2u
36
+ ··· − 147u − 47)
· (u
172
− 7u
171
+ ··· − 87748249u − 53910283)
c
7
(u
37
− u
36
+ ··· + 4u − 1)(u
172
− 50u
170
+ ··· − 24120u + 74007)
c
8
(u
37
+ 3u
35
+ ··· + 8u + 1)(u
172
− 19u
171
+ ··· + 285466u − 10697)
c
9
(u
37
+ 2u
36
+ ··· + 4u + 1)(u
172
− 11u
171
+ ··· − 160u − 7)
c
10
(u
37
+ 4u
36
+ ··· − 7u − 1)
· (u
172
− 7u
171
+ ··· + 503175069u − 16162283)
c
11
(u
37
− 3u
36
+ ··· + 40u + 4)(u
172
− 4u
171
+ ··· + 77660u − 9916)
c
12
(u
37
+ 5u
36
+ ··· + 13u − 1)
· (u
172
− 18u
170
+ ··· + 1012767u + 106551)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
37
+ 24y
36
+ ··· + 37120y −289)(y
172
+ 127y
171
+ ··· − 3840y + 1)
c
2
, c
7
(y
37
− 19y
36
+ ··· + 28y −1)
· (y
172
− 100y
171
+ ··· − 159358760424y + 5477036049)
c
3
(y
37
− 6y
36
+ ··· + 256y −16)
· (y
172
− 23y
171
+ ··· + 56985557264y + 4333325584)
c
5
(y
37
− 10y
36
+ ··· − 18y −1)
· (y
172
+ 9y
171
+ ··· − 70838234y + 27889)
c
6
(y
37
− 8y
36
+ ··· − 8941y −2209)
· (y
172
+ 47y
171
+ ··· + 2003456514376098053y + 2906318613140089)
c
8
(y
37
+ 6y
36
+ ··· − 14y −1)
· (y
172
+ 37y
171
+ ··· + 5944665142y + 114425809)
c
9
(y
37
− 16y
36
+ ··· − 16y −1)(y
172
− 21y
171
+ ··· − 3648y + 49)
c
10
(y
37
+ 8y
36
+ ··· + 3y −1)
· (y
172
− 53y
171
+ ··· − 88286474877028847y + 261219391772089)
c
11
(y
37
+ y
36
+ ··· + 176y −16)
· (y
172
− 12y
171
+ ··· − 3415353792y + 98327056)
c
12
(y
37
+ y
36
+ ··· + 49y −1)
· (y
172
− 36y
171
+ ··· − 1103499684081y + 11353115601)
33
