12a
1110
(K12a
1110
)
A knot diagram
1
Linearized knot diagam
4 7 11 1 12 3 10 5 6 2 9 8
Solving Sequence
5,12 6,8
9 10 1 4 2 7 11 3
c
5
c
8
c
9
c
12
c
4
c
1
c
7
c
11
c
3
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.04121 × 10
1911
u
192
− 2.94515 × 10
1911
u
191
+ ··· + 4.61076 × 10
1912
b − 7.76576 × 10
1911
,
− 2.94044 × 10
1913
u
192
− 4.69682 × 10
1913
u
191
+ ··· + 5.48680 × 10
1914
a − 2.38829 × 10
1916
,
u
193
+ 3u
192
+ ··· + 1523u − 119i
I
u
2
= h−1.57865 × 10
116
u
51
− 2.29335 × 10
116
u
50
+ ··· + 9.68988 × 10
115
b − 5.77826 × 10
116
,
− 5.73748 × 10
116
u
51
+ 3.04708 × 10
116
u
50
+ ··· + 9.68988 × 10
115
a + 4.52810 × 10
116
,
u
52
− 4u
50
+ ··· − 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 245 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−1.04 × 10
1911
u
192
− 2.95 × 10
1911
u
191
+ · · · + 4.61 × 10
1912
b −
7.77 × 10
1911
, −2.94 × 10
1913
u
192
− 4.70 × 10
1913
u
191
+ · · · + 5.49 ×
10
1914
a − 2.39 × 10
1916
, u
193
+ 3u
192
+ · · · + 1523u − 119i
(i) Arc colorings
a
5
=
1
0
a
12
=
0
u
a
6
=
1
−u
2
a
8
=
0.0535911u
192
+ 0.0856021u
191
+ ··· − 543.246u + 43.5280
0.0225821u
192
+ 0.0638757u
191
+ ··· − 33.0712u + 0.168427
a
9
=
0.0761733u
192
+ 0.149478u
191
+ ··· − 576.317u + 43.6964
0.0225821u
192
+ 0.0638757u
191
+ ··· − 33.0712u + 0.168427
a
10
=
0.0863457u
192
+ 0.169045u
191
+ ··· − 672.692u + 52.9340
0.0294198u
192
+ 0.0826882u
191
+ ··· − 50.9591u + 1.47152
a
1
=
0.0642413u
192
+ 0.291640u
191
+ ··· + 836.760u − 76.0046
−0.00576962u
192
− 0.00872474u
191
+ ··· + 45.0307u − 3.65749
a
4
=
0.412073u
192
+ 1.23966u
191
+ ··· − 977.632u + 59.6963
−0.0178693u
192
− 0.0567235u
191
+ ··· + 63.3657u − 5.88625
a
2
=
−0.165086u
192
− 0.670371u
191
+ ··· − 693.144u + 70.2498
0.0165588u
192
+ 0.0422727u
191
+ ··· − 94.7746u + 5.91355
a
7
=
−0.255540u
192
− 0.816600u
191
+ ··· + 132.364u + 1.18893
−0.0165383u
192
− 0.0395895u
191
+ ··· + 89.7596u − 8.46992
a
11
=
0.0793911u
192
+ 0.335477u
191
+ ··· + 762.122u − 70.3606
0.0209194u
192
+ 0.0525618u
191
+ ··· − 117.668u + 9.30155
a
3
=
−0.00837962u
192
+ 0.0846030u
191
+ ··· + 909.256u − 84.1823
−0.0173126u
192
− 0.0527161u
191
+ ··· + 57.7225u − 4.57325
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.491202u
192
− 1.60985u
191
+ ··· − 92.7171u + 27.7140
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
193
− 9u
192
+ ··· − 25294392u + 821143
c
2
, c
6
u
193
+ 3u
192
+ ··· − 9488u + 1279
c
3
u
193
− u
192
+ ··· − 84164118u + 75604697
c
5
u
193
− 3u
192
+ ··· + 1523u + 119
c
7
u
193
+ 4u
192
+ ··· − 136105380u + 161762888
c
8
u
193
− 4u
192
+ ··· + 66807u + 16531
c
9
u
193
+ 2u
192
+ ··· − 19697810u + 389851
c
10
u
193
− 5u
192
+ ··· − 885248946u + 70940957
c
11
u
193
+ 6u
192
+ ··· − 3800155u + 329741
c
12
u
193
− 24u
191
+ ··· + 71854u + 6323
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
193
+ 149y
192
+ ··· + 91423314119834y −674275826449
c
2
, c
6
y
193
+ 115y
192
+ ··· + 62705262y −1635841
c
3
y
193
+ 81y
192
+ ··· − 246539706104330476y −5716070208461809
c
5
y
193
+ 7y
192
+ ··· − 804935y −14161
c
7
y
193
+ 22y
192
+ ··· + 1403258281552618544y −26167231934100544
c
8
y
193
− 46y
192
+ ··· + 29373639963y −273273961
c
9
y
193
− 48y
192
+ ··· + 204957052058088y −151983802201
c
10
y
193
+ 71y
192
+ ··· − 122129491189476726y −5032619380075849
c
11
y
193
+ 86y
191
+ ··· − 7760857914797y −108729127081
c
12
y
193
− 48y
192
+ ··· + 3821977538y −39980329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.497238 + 0.867067I
a = 0.342922 + 0.745631I
b = 0.766058 − 0.204781I
4.22094 − 3.31943I 0
u = 0.497238 − 0.867067I
a = 0.342922 − 0.745631I
b = 0.766058 + 0.204781I
4.22094 + 3.31943I 0
u = −1.002190 + 0.090826I
a = 1.26913 − 0.92294I
b = −1.002540 + 0.366203I
7.64125 − 4.06324I 0
u = −1.002190 − 0.090826I
a = 1.26913 + 0.92294I
b = −1.002540 − 0.366203I
7.64125 + 4.06324I 0
u = −0.523190 + 0.839731I
a = 0.611273 − 0.989258I
b = 0.438938 − 0.201154I
2.63803 − 4.74363I 0
u = −0.523190 − 0.839731I
a = 0.611273 + 0.989258I
b = 0.438938 + 0.201154I
2.63803 + 4.74363I 0
u = 0.886144 + 0.508299I
a = −0.821468 + 0.607193I
b = 0.881728 + 0.546357I
6.25595 − 0.94873I 0
u = 0.886144 − 0.508299I
a = −0.821468 − 0.607193I
b = 0.881728 − 0.546357I
6.25595 + 0.94873I 0
u = −0.793213 + 0.557530I
a = 0.974293 + 0.051565I
b = −0.794389 + 0.462012I
1.25526 − 1.43426I 0
u = −0.793213 − 0.557530I
a = 0.974293 − 0.051565I
b = −0.794389 − 0.462012I
1.25526 + 1.43426I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.782743 + 0.569579I
a = 1.274100 + 0.182530I
b = −1.38722 − 1.02429I
5.57186 + 7.41914I 0
u = 0.782743 − 0.569579I
a = 1.274100 − 0.182530I
b = −1.38722 + 1.02429I
5.57186 − 7.41914I 0
u = −0.851088 + 0.458366I
a = 1.49827 + 0.77108I
b = −0.736769 + 0.465369I
0.74560 − 2.43904I 0
u = −0.851088 − 0.458366I
a = 1.49827 − 0.77108I
b = −0.736769 − 0.465369I
0.74560 + 2.43904I 0
u = 0.779871 + 0.529450I
a = −1.13842 + 1.20231I
b = 0.660187 + 0.567217I
3.48058 + 8.67580I 0
u = 0.779871 − 0.529450I
a = −1.13842 − 1.20231I
b = 0.660187 − 0.567217I
3.48058 − 8.67580I 0
u = 0.453131 + 0.806446I
a = −0.297623 + 0.200067I
b = 0.440139 − 1.248480I
0.183860 + 0.947346I 0
u = 0.453131 − 0.806446I
a = −0.297623 − 0.200067I
b = 0.440139 + 1.248480I
0.183860 − 0.947346I 0
u = −0.630913 + 0.672528I
a = 1.84382 + 0.30274I
b = −0.945622 + 0.822813I
7.03056 − 3.49193I 0
u = −0.630913 − 0.672528I
a = 1.84382 − 0.30274I
b = −0.945622 − 0.822813I
7.03056 + 3.49193I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.776522 + 0.752682I
a = −1.299440 + 0.428593I
b = 1.13141 + 1.06210I
8.60089 + 7.20452I 0
u = 0.776522 − 0.752682I
a = −1.299440 − 0.428593I
b = 1.13141 − 1.06210I
8.60089 − 7.20452I 0
u = 0.195212 + 0.888065I
a = −0.715216 − 0.818022I
b = 0.011872 − 0.684290I
−1.77741 + 2.64700I 0
u = 0.195212 − 0.888065I
a = −0.715216 + 0.818022I
b = 0.011872 + 0.684290I
−1.77741 − 2.64700I 0
u = −0.790986 + 0.753719I
a = 1.217110 + 0.188763I
b = −1.32910 + 0.93706I
6.07885 − 2.57363I 0
u = −0.790986 − 0.753719I
a = 1.217110 − 0.188763I
b = −1.32910 − 0.93706I
6.07885 + 2.57363I 0
u = 0.797521 + 0.752341I
a = −1.059590 + 0.244506I
b = 1.44584 + 1.10749I
9.93565 − 1.33558I 0
u = 0.797521 − 0.752341I
a = −1.059590 − 0.244506I
b = 1.44584 − 1.10749I
9.93565 + 1.33558I 0
u = −0.951939 + 0.544515I
a = 0.489202 + 0.357652I
b = −1.123300 − 0.502790I
2.50050 + 1.59976I 0
u = −0.951939 − 0.544515I
a = 0.489202 − 0.357652I
b = −1.123300 + 0.502790I
2.50050 − 1.59976I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.126973 + 0.893867I
a = −0.077761 + 0.155141I
b = 0.02011 − 1.78711I
−0.49385 + 1.44634I 0
u = 0.126973 − 0.893867I
a = −0.077761 − 0.155141I
b = 0.02011 + 1.78711I
−0.49385 − 1.44634I 0
u = −0.007647 + 1.106220I
a = 0.743541 − 0.075769I
b = −0.949225 + 0.668062I
0.63290 − 4.78567I 0
u = −0.007647 − 1.106220I
a = 0.743541 + 0.075769I
b = −0.949225 − 0.668062I
0.63290 + 4.78567I 0
u = −0.853441 + 0.260269I
a = −1.147830 + 0.526623I
b = 1.26617 − 1.05813I
8.51652 − 1.44069I 0
u = −0.853441 − 0.260269I
a = −1.147830 − 0.526623I
b = 1.26617 + 1.05813I
8.51652 + 1.44069I 0
u = −0.876499 + 0.061956I
a = 0.573900 + 0.422916I
b = −0.930012 − 0.080698I
2.16628 + 1.75332I 0
u = −0.876499 − 0.061956I
a = 0.573900 − 0.422916I
b = −0.930012 + 0.080698I
2.16628 − 1.75332I 0
u = 0.165929 + 0.848786I
a = −1.41513 − 0.11976I
b = 1.58164 + 0.24148I
−0.67690 + 2.98996I 0
u = 0.165929 − 0.848786I
a = −1.41513 + 0.11976I
b = 1.58164 − 0.24148I
−0.67690 − 2.98996I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.803737 + 0.317029I
a = −1.49987 + 2.33986I
b = 0.575461 − 0.082402I
7.26083 + 11.03510I 0
u = 0.803737 − 0.317029I
a = −1.49987 − 2.33986I
b = 0.575461 + 0.082402I
7.26083 − 11.03510I 0
u = 0.649043 + 0.952767I
a = 0.781237 − 0.141581I
b = −0.901277 − 0.981986I
−1.77817 + 4.15644I 0
u = 0.649043 − 0.952767I
a = 0.781237 + 0.141581I
b = −0.901277 + 0.981986I
−1.77817 − 4.15644I 0
u = 0.573211 + 0.620217I
a = −0.37608 − 2.05342I
b = −0.414764 + 0.050057I
0.994026 + 0.137447I 0
u = 0.573211 − 0.620217I
a = −0.37608 + 2.05342I
b = −0.414764 − 0.050057I
0.994026 − 0.137447I 0
u = 0.921411 + 0.713068I
a = 1.64042 − 0.40033I
b = −0.724146 − 0.731262I
1.19042 + 3.64605I 0
u = 0.921411 − 0.713068I
a = 1.64042 + 0.40033I
b = −0.724146 + 0.731262I
1.19042 − 3.64605I 0
u = −0.825514 + 0.123471I
a = 2.31676 + 1.77210I
b = −0.596108 − 0.196613I
3.81726 − 4.73968I 0
u = −0.825514 − 0.123471I
a = 2.31676 − 1.77210I
b = −0.596108 + 0.196613I
3.81726 + 4.73968I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.139188 + 0.816122I
a = 0.937503 − 0.580994I
b = −0.077951 − 0.659096I
−2.19429 − 0.01698I 0
u = 0.139188 − 0.816122I
a = 0.937503 + 0.580994I
b = −0.077951 + 0.659096I
−2.19429 + 0.01698I 0
u = 1.171430 + 0.072628I
a = −1.52428 + 0.87247I
b = 0.785423 − 0.206755I
9.81622 − 0.34797I 0
u = 1.171430 − 0.072628I
a = −1.52428 − 0.87247I
b = 0.785423 + 0.206755I
9.81622 + 0.34797I 0
u = −0.133692 + 1.175910I
a = 1.312150 + 0.015195I
b = −1.49715 + 0.23346I
3.01136 − 7.70054I 0
u = −0.133692 − 1.175910I
a = 1.312150 − 0.015195I
b = −1.49715 − 0.23346I
3.01136 + 7.70054I 0
u = 0.441030 + 1.099470I
a = 0.116560 − 0.489882I
b = −0.951543 + 0.580989I
7.47534 − 2.11083I 0
u = 0.441030 − 1.099470I
a = 0.116560 + 0.489882I
b = −0.951543 − 0.580989I
7.47534 + 2.11083I 0
u = −0.463152 + 1.094350I
a = 0.027504 − 0.529615I
b = 0.898045 + 0.196218I
5.01813 − 2.63269I 0
u = −0.463152 − 1.094350I
a = 0.027504 + 0.529615I
b = 0.898045 − 0.196218I
5.01813 + 2.63269I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.088256 + 0.806160I
a = −0.708291 − 0.331551I
b = 0.727895 + 0.928715I
−2.45003 − 0.79596I 0
u = 0.088256 − 0.806160I
a = −0.708291 + 0.331551I
b = 0.727895 − 0.928715I
−2.45003 + 0.79596I 0
u = 0.450658 + 1.101640I
a = −0.032820 − 0.395267I
b = −1.216170 + 0.126684I
8.87783 + 6.48175I 0
u = 0.450658 − 1.101640I
a = −0.032820 + 0.395267I
b = −1.216170 − 0.126684I
8.87783 − 6.48175I 0
u = −0.572026 + 1.061560I
a = 0.575727 − 0.252604I
b = 0.044850 − 0.309132I
2.71678 − 4.55421I 0
u = −0.572026 − 1.061560I
a = 0.575727 + 0.252604I
b = 0.044850 + 0.309132I
2.71678 + 4.55421I 0
u = 0.384659 + 0.690356I
a = 0.549022 − 0.287216I
b = −0.62026 + 1.81306I
5.00288 + 12.48190I 0
u = 0.384659 − 0.690356I
a = 0.549022 + 0.287216I
b = −0.62026 − 1.81306I
5.00288 − 12.48190I 0
u = −0.189988 + 0.766916I
a = 1.83626 + 0.68218I
b = −0.350538 + 0.601281I
0.08290 − 7.67658I 0
u = −0.189988 − 0.766916I
a = 1.83626 − 0.68218I
b = −0.350538 − 0.601281I
0.08290 + 7.67658I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.509411 + 0.594685I
a = 1.086050 − 0.284729I
b = −1.88307 + 0.40041I
3.15731 + 0.59915I 0
u = −0.509411 − 0.594685I
a = 1.086050 + 0.284729I
b = −1.88307 − 0.40041I
3.15731 − 0.59915I 0
u = −1.028350 + 0.656856I
a = −1.043240 + 0.144329I
b = 1.39115 − 0.98329I
10.4059 − 11.6137I 0
u = −1.028350 − 0.656856I
a = −1.043240 − 0.144329I
b = 1.39115 + 0.98329I
10.4059 + 11.6137I 0
u = −0.318620 + 0.706869I
a = −0.555493 − 0.359034I
b = 0.56663 + 1.67029I
1.39988 − 6.81659I 0
u = −0.318620 − 0.706869I
a = −0.555493 + 0.359034I
b = 0.56663 − 1.67029I
1.39988 + 6.81659I 0
u = 0.660774 + 1.056300I
a = 1.132000 − 0.208741I
b = −1.44104 − 0.96969I
3.55642 + 7.82089I 0
u = 0.660774 − 1.056300I
a = 1.132000 + 0.208741I
b = −1.44104 + 0.96969I
3.55642 − 7.82089I 0
u = 1.088800 + 0.625231I
a = −1.269830 − 0.279353I
b = 1.214680 + 0.561620I
7.50739 + 4.54303I 0
u = 1.088800 − 0.625231I
a = −1.269830 + 0.279353I
b = 1.214680 − 0.561620I
7.50739 − 4.54303I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.459806 + 1.178840I
a = 0.287699 − 0.074862I
b = 0.352696 − 0.647795I
2.64925 − 4.48301I 0
u = −0.459806 − 1.178840I
a = 0.287699 + 0.074862I
b = 0.352696 + 0.647795I
2.64925 + 4.48301I 0
u = 1.180090 + 0.481702I
a = −0.646109 − 0.202589I
b = 0.994019 + 0.448982I
2.05102 + 1.14955I 0
u = 1.180090 − 0.481702I
a = −0.646109 + 0.202589I
b = 0.994019 − 0.448982I
2.05102 − 1.14955I 0
u = −0.810075 + 1.005450I
a = 1.132610 + 0.087829I
b = −0.845222 + 0.747687I
0.335352 − 0.698527I 0
u = −0.810075 − 1.005450I
a = 1.132610 − 0.087829I
b = −0.845222 − 0.747687I
0.335352 + 0.698527I 0
u = 0.113438 + 0.679220I
a = 0.39029 − 2.28438I
b = −0.049904 − 1.157790I
−0.39576 + 1.86685I 0
u = 0.113438 − 0.679220I
a = 0.39029 + 2.28438I
b = −0.049904 + 1.157790I
−0.39576 − 1.86685I 0
u = 0.270853 + 0.630701I
a = 1.192930 − 0.324289I
b = −0.824645 − 1.084070I
−1.89359 + 3.29036I 0
u = 0.270853 − 0.630701I
a = 1.192930 + 0.324289I
b = −0.824645 + 1.084070I
−1.89359 − 3.29036I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.249700 + 0.483836I
a = 0.027862 − 0.464579I
b = 0.012957 + 0.942140I
−1.33939 − 0.46183I 0
u = 1.249700 − 0.483836I
a = 0.027862 + 0.464579I
b = 0.012957 − 0.942140I
−1.33939 + 0.46183I 0
u = 0.198879 + 0.627841I
a = −0.93845 − 1.06628I
b = 0.329089 − 0.842535I
−2.30616 + 0.69623I 0
u = 0.198879 − 0.627841I
a = −0.93845 + 1.06628I
b = 0.329089 + 0.842535I
−2.30616 − 0.69623I 0
u = 0.234810 + 0.594580I
a = 0.699284 − 0.439200I
b = −0.28788 + 1.63460I
6.37252 + 1.88736I 0
u = 0.234810 − 0.594580I
a = 0.699284 + 0.439200I
b = −0.28788 − 1.63460I
6.37252 − 1.88736I 0
u = −1.196320 + 0.653256I
a = 0.539985 + 0.542395I
b = −0.935854 − 0.230450I
3.56908 + 1.42482I 0
u = −1.196320 − 0.653256I
a = 0.539985 − 0.542395I
b = −0.935854 + 0.230450I
3.56908 − 1.42482I 0
u = −0.571868 + 1.244750I
a = −0.052126 − 0.704537I
b = 0.525083 + 0.065371I
4.67594 − 1.60702I 0
u = −0.571868 − 1.244750I
a = −0.052126 + 0.704537I
b = 0.525083 − 0.065371I
4.67594 + 1.60702I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.082015 + 0.624626I
a = 1.99806 + 2.54536I
b = −0.422827 + 0.896036I
5.16738 − 11.08160I 0
u = −0.082015 − 0.624626I
a = 1.99806 − 2.54536I
b = −0.422827 − 0.896036I
5.16738 + 11.08160I 0
u = 1.048920 + 0.887312I
a = 0.718992 − 0.155244I
b = −0.458347 − 0.284024I
−1.146850 + 0.515605I 0
u = 1.048920 − 0.887312I
a = 0.718992 + 0.155244I
b = −0.458347 + 0.284024I
−1.146850 − 0.515605I 0
u = −0.674877 + 1.215160I
a = −0.679582 − 0.182493I
b = 1.072240 − 0.877831I
−1.00920 − 7.01715I 0
u = −0.674877 − 1.215160I
a = −0.679582 + 0.182493I
b = 1.072240 + 0.877831I
−1.00920 + 7.01715I 0
u = 0.329101 + 0.512505I
a = 1.39840 + 0.35885I
b = −1.09071 + 1.03027I
1.34850 + 8.22817I 0
u = 0.329101 − 0.512505I
a = 1.39840 − 0.35885I
b = −1.09071 − 1.03027I
1.34850 − 8.22817I 0
u = 0.213699 + 0.555593I
a = −2.58812 + 0.04387I
b = 0.363580 + 0.397114I
−2.41555 + 2.59991I 0
u = 0.213699 − 0.555593I
a = −2.58812 − 0.04387I
b = 0.363580 − 0.397114I
−2.41555 − 2.59991I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.928383 + 1.054640I
a = −1.183450 − 0.351800I
b = 1.018230 − 0.890684I
1.48007 − 8.30449I 0
u = −0.928383 − 1.054640I
a = −1.183450 + 0.351800I
b = 1.018230 + 0.890684I
1.48007 + 8.30449I 0
u = 1.370000 + 0.316679I
a = 0.375017 − 0.215288I
b = −0.264978 − 0.152912I
−0.707719 − 0.212768I 0
u = 1.370000 − 0.316679I
a = 0.375017 + 0.215288I
b = −0.264978 + 0.152912I
−0.707719 + 0.212768I 0
u = 0.076449 + 0.587912I
a = −1.18140 − 0.91338I
b = 0.693366 − 0.860054I
−2.22052 + 0.45644I 0
u = 0.076449 − 0.587912I
a = −1.18140 + 0.91338I
b = 0.693366 + 0.860054I
−2.22052 − 0.45644I 0
u = −1.33485 + 0.47247I
a = −0.500932 + 0.148751I
b = 0.615179 − 0.793847I
4.96716 − 5.58609I 0
u = −1.33485 − 0.47247I
a = −0.500932 − 0.148751I
b = 0.615179 + 0.793847I
4.96716 + 5.58609I 0
u = −0.260837 + 0.522363I
a = 0.86196 − 1.29213I
b = 0.002227 − 0.994823I
−1.12220 − 3.04961I 0
u = −0.260837 − 0.522363I
a = 0.86196 + 1.29213I
b = 0.002227 + 0.994823I
−1.12220 + 3.04961I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.97388 + 1.04906I
a = −1.140630 − 0.034420I
b = 1.023870 + 0.809512I
−1.57515 + 7.17248I 0
u = 0.97388 − 1.04906I
a = −1.140630 + 0.034420I
b = 1.023870 − 0.809512I
−1.57515 − 7.17248I 0
u = 0.95812 + 1.10032I
a = 0.983941 − 0.167141I
b = −1.34233 − 1.02505I
3.92072 + 11.91970I 0
u = 0.95812 − 1.10032I
a = 0.983941 + 0.167141I
b = −1.34233 + 1.02505I
3.92072 − 11.91970I 0
u = 0.536947 + 0.055139I
a = −0.504239 + 0.538024I
b = 2.44190 − 0.89914I
1.200280 − 0.033666I 0
u = 0.536947 − 0.055139I
a = −0.504239 − 0.538024I
b = 2.44190 + 0.89914I
1.200280 + 0.033666I 0
u = −0.71028 + 1.28440I
a = −1.052390 − 0.209074I
b = 1.47967 − 0.85828I
3.83042 − 10.00390I 0
u = −0.71028 − 1.28440I
a = −1.052390 + 0.209074I
b = 1.47967 + 0.85828I
3.83042 + 10.00390I 0
u = −0.91146 + 1.15130I
a = −1.052810 − 0.230629I
b = 1.26120 − 0.94083I
2.10429 − 8.85677I 0
u = −0.91146 − 1.15130I
a = −1.052810 + 0.230629I
b = 1.26120 + 0.94083I
2.10429 + 8.85677I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522684
a = 0.739691
b = 0.147403
−0.991668 −6.00000
u = 1.19036 + 0.90160I
a = −0.272547 + 0.492812I
b = 0.931114 − 0.104387I
4.68520 − 4.30704I 0
u = 1.19036 − 0.90160I
a = −0.272547 − 0.492812I
b = 0.931114 + 0.104387I
4.68520 + 4.30704I 0
u = −0.168936 + 0.475759I
a = −1.75244 + 0.01342I
b = 1.14760 + 0.96305I
−2.18875 − 2.06561I 0. + 13.90473I
u = −0.168936 − 0.475759I
a = −1.75244 − 0.01342I
b = 1.14760 − 0.96305I
−2.18875 + 2.06561I 0. − 13.90473I
u = 0.79363 + 1.27567I
a = −0.535170 − 0.066287I
b = 0.638188 + 0.606242I
−2.88255 + 0.45269I 0
u = 0.79363 − 1.27567I
a = −0.535170 + 0.066287I
b = 0.638188 − 0.606242I
−2.88255 − 0.45269I 0
u = 0.84161 + 1.24799I
a = 0.156749 − 0.755082I
b = −0.584189 − 0.029478I
5.64953 + 2.69612I 0
u = 0.84161 − 1.24799I
a = 0.156749 + 0.755082I
b = −0.584189 + 0.029478I
5.64953 − 2.69612I 0
u = −1.08599 + 1.06802I
a = 0.685907 − 0.134970I
b = −0.893320 + 0.793773I
3.81101 − 3.55020I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.08599 − 1.06802I
a = 0.685907 + 0.134970I
b = −0.893320 − 0.793773I
3.81101 + 3.55020I 0
u = 0.076296 + 0.460170I
a = −0.46040 − 2.18152I
b = 0.48415 − 1.56645I
1.42683 − 0.79922I 1.79915 + 0.I
u = 0.076296 − 0.460170I
a = −0.46040 + 2.18152I
b = 0.48415 + 1.56645I
1.42683 + 0.79922I 1.79915 + 0.I
u = −1.05854 + 1.11019I
a = 1.129740 + 0.044866I
b = −1.25798 + 0.86187I
9.05785 − 9.80115I 0
u = −1.05854 − 1.11019I
a = 1.129740 − 0.044866I
b = −1.25798 − 0.86187I
9.05785 + 9.80115I 0
u = 1.00737 + 1.16017I
a = −1.129640 + 0.120909I
b = 1.26471 + 0.93612I
3.5902 + 15.2524I 0
u = 1.00737 − 1.16017I
a = −1.129640 − 0.120909I
b = 1.26471 − 0.93612I
3.5902 − 15.2524I 0
u = −0.90315 + 1.26548I
a = −0.665747 − 0.183236I
b = 0.755808 − 0.582975I
−1.35004 − 4.95976I 0
u = −0.90315 − 1.26548I
a = −0.665747 + 0.183236I
b = 0.755808 + 0.582975I
−1.35004 + 4.95976I 0
u = −0.91070 + 1.26284I
a = −0.640223 − 0.165784I
b = 0.802920 − 0.718681I
−1.43582 − 5.09973I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.91070 − 1.26284I
a = −0.640223 + 0.165784I
b = 0.802920 + 0.718681I
−1.43582 + 5.09973I 0
u = 0.310962 + 0.292239I
a = 3.34143 + 1.42313I
b = −1.175180 − 0.140103I
6.73769 + 4.22220I 3.29822 − 3.01810I
u = 0.310962 − 0.292239I
a = 3.34143 − 1.42313I
b = −1.175180 + 0.140103I
6.73769 − 4.22220I 3.29822 + 3.01810I
u = −1.01444 + 1.20454I
a = 1.089120 + 0.138383I
b = −1.29973 + 0.95567I
7.2945 − 21.2922I 0
u = −1.01444 − 1.20454I
a = 1.089120 − 0.138383I
b = −1.29973 − 0.95567I
7.2945 + 21.2922I 0
u = 0.105289 + 0.411754I
a = −4.29058 + 3.35565I
b = 0.422384 + 0.649931I
2.60428 + 5.69832I −13.7910 − 10.3368I
u = 0.105289 − 0.411754I
a = −4.29058 − 3.35565I
b = 0.422384 − 0.649931I
2.60428 − 5.69832I −13.7910 + 10.3368I
u = 1.03948 + 1.18586I
a = −0.805008 − 0.092198I
b = 0.916827 + 0.901188I
−2.51496 + 8.91759I 0
u = 1.03948 − 1.18586I
a = −0.805008 + 0.092198I
b = 0.916827 − 0.901188I
−2.51496 − 8.91759I 0
u = 1.07565 + 1.17728I
a = 0.598047 − 0.108914I
b = −0.809534 − 0.827187I
0.00055 + 7.25591I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.07565 − 1.17728I
a = 0.598047 + 0.108914I
b = −0.809534 + 0.827187I
0.00055 − 7.25591I 0
u = −0.64121 + 1.47319I
a = 0.561477 + 0.020815I
b = −0.612922 + 0.509087I
0.58367 + 4.89227I 0
u = −0.64121 − 1.47319I
a = 0.561477 − 0.020815I
b = −0.612922 − 0.509087I
0.58367 − 4.89227I 0
u = −1.07035 + 1.24169I
a = 0.772925 − 0.033987I
b = −0.944605 + 0.910734I
1.2093 − 15.2500I 0
u = −1.07035 − 1.24169I
a = 0.772925 + 0.033987I
b = −0.944605 − 0.910734I
1.2093 + 15.2500I 0
u = 1.38697 + 0.88744I
a = 0.476746 − 0.530613I
b = −0.810422 + 0.330310I
4.61289 − 7.01205I 0
u = 1.38697 − 0.88744I
a = 0.476746 + 0.530613I
b = −0.810422 − 0.330310I
4.61289 + 7.01205I 0
u = 0.315155 + 0.127482I
a = −0.95483 − 4.29279I
b = −0.881633 − 0.213035I
8.69417 + 5.56353I 3.57185 − 5.56353I
u = 0.315155 − 0.127482I
a = −0.95483 + 4.29279I
b = −0.881633 + 0.213035I
8.69417 − 5.56353I 3.57185 + 5.56353I
u = 0.85147 + 1.43593I
a = 0.671594 − 0.138563I
b = −1.084320 − 0.414989I
3.12882 + 7.34162I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.85147 − 1.43593I
a = 0.671594 + 0.138563I
b = −1.084320 + 0.414989I
3.12882 − 7.34162I 0
u = −1.46692 + 0.84077I
a = −0.482607 − 0.525005I
b = 0.892058 + 0.306368I
8.5921 + 12.8241I 0
u = −1.46692 − 0.84077I
a = −0.482607 + 0.525005I
b = 0.892058 − 0.306368I
8.5921 − 12.8241I 0
u = 1.04060 + 1.37203I
a = 1.107420 − 0.124554I
b = −1.30741 − 0.62958I
6.68334 + 9.48244I 0
u = 1.04060 − 1.37203I
a = 1.107420 + 0.124554I
b = −1.30741 + 0.62958I
6.68334 − 9.48244I 0
u = −1.71320 + 0.20744I
a = −1.164480 − 0.491622I
b = 0.752818 + 0.234780I
8.77787 + 1.37130I 0
u = −1.71320 − 0.20744I
a = −1.164480 + 0.491622I
b = 0.752818 − 0.234780I
8.77787 − 1.37130I 0
u = 0.216083 + 0.159292I
a = 2.63631 + 1.81118I
b = −0.792274 + 0.862850I
3.56259 − 2.38834I −1.36830 + 1.16639I
u = 0.216083 − 0.159292I
a = 2.63631 − 1.81118I
b = −0.792274 − 0.862850I
3.56259 + 2.38834I −1.36830 − 1.16639I
u = −0.133796 + 0.218771I
a = 0.33941 − 2.09324I
b = −1.13216 − 2.10843I
1.72773 − 0.48367I −7.0248 − 13.7824I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.133796 − 0.218771I
a = 0.33941 + 2.09324I
b = −1.13216 + 2.10843I
1.72773 + 0.48367I −7.0248 + 13.7824I
u = −1.44609 + 0.98060I
a = −0.511905 − 0.522294I
b = 0.732497 + 0.201400I
9.62828 + 1.32097I 0
u = −1.44609 − 0.98060I
a = −0.511905 + 0.522294I
b = 0.732497 − 0.201400I
9.62828 − 1.32097I 0
u = 1.71302 + 0.44992I
a = −0.967223 + 0.424577I
b = 0.888696 − 0.206850I
9.38851 − 0.46175I 0
u = 1.71302 − 0.44992I
a = −0.967223 − 0.424577I
b = 0.888696 + 0.206850I
9.38851 + 0.46175I 0
u = −0.142820 + 0.158352I
a = −8.68705 + 3.54256I
b = 0.785768 − 0.110859I
3.75898 + 1.42577I 2.52127 + 1.45054I
u = −0.142820 − 0.158352I
a = −8.68705 − 3.54256I
b = 0.785768 + 0.110859I
3.75898 − 1.42577I 2.52127 − 1.45054I
u = −1.77506 + 0.26748I
a = −0.340926 − 0.010436I
b = 0.503453 − 0.274067I
3.28248 + 5.87892I 0
u = −1.77506 − 0.26748I
a = −0.340926 + 0.010436I
b = 0.503453 + 0.274067I
3.28248 − 5.87892I 0
u = −0.99405 + 1.63092I
a = 0.045247 + 0.255209I
b = −0.686496 + 0.055881I
7.92057 + 4.36588I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.99405 − 1.63092I
a = 0.045247 − 0.255209I
b = −0.686496 − 0.055881I
7.92057 − 4.36588I 0
u = −1.52577 + 1.36798I
a = 0.198786 − 0.098219I
b = −0.359169 + 0.560692I
2.80907 − 6.70498I 0
u = −1.52577 − 1.36798I
a = 0.198786 + 0.098219I
b = −0.359169 − 0.560692I
2.80907 + 6.70498I 0
24
II. I
u
2
= h−1.58 × 10
116
u
51
− 2.29 × 10
116
u
50
+ · · · + 9.69 × 10
115
b − 5.78 ×
10
116
, −5.74 × 10
116
u
51
+ 3.05 × 10
116
u
50
+ · · · + 9.69 × 10
115
a + 4.53 ×
10
116
, u
52
− 4u
50
+ · · · − 4u + 1i
(i) Arc colorings
a
5
=
1
0
a
12
=
0
u
a
6
=
1
−u
2
a
8
=
5.92110u
51
− 3.14460u
50
+ ··· + 24.5449u − 4.67302
1.62918u
51
+ 2.36674u
50
+ ··· − 13.7043u + 5.96318
a
9
=
7.55028u
51
− 0.777852u
50
+ ··· + 10.8406u + 1.29017
1.62918u
51
+ 2.36674u
50
+ ··· − 13.7043u + 5.96318
a
10
=
10.0629u
51
− 2.36362u
50
+ ··· + 35.2066u − 5.45087
2.69502u
51
+ 1.83226u
50
+ ··· − 4.84860u + 4.37742
a
1
=
6.63529u
51
+ 0.855566u
50
+ ··· + 37.6434u − 6.37438
4.78657u
51
− 1.50194u
50
+ ··· + 17.7116u − 2.60956
a
4
=
−0.326115u
51
− 7.53201u
50
+ ··· + 2.79677u − 1.08640
0.293490u
51
− 4.99854u
50
+ ··· + 32.3032u − 8.21039
a
2
=
−3.15740u
51
+ 2.59830u
50
+ ··· − 69.3840u + 15.0376
−2.42482u
51
− 2.23273u
50
+ ··· + 13.7764u − 4.69159
a
7
=
−19.4617u
51
− 7.00940u
50
+ ··· − 38.5132u − 1.71009
−5.98765u
51
− 1.30763u
50
+ ··· − 9.76296u − 1.01027
a
11
=
20.6027u
51
+ 0.847073u
50
+ ··· + 59.3495u − 5.42101
9.18083u
51
+ 1.49344u
50
+ ··· + 5.99447u + 3.56293
a
3
=
−5.89314u
51
+ 15.2708u
50
+ ··· − 159.019u + 41.0271
−4.16919u
51
+ 2.82627u
50
+ ··· − 34.0410u + 7.45539
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2.38867u
51
− 7.32514u
50
+ ··· + 70.1991u − 17.6572
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
52
− 4u
51
+ ··· − 129u + 13
c
2
u
52
− 2u
51
+ ··· − 15u + 3
c
3
u
52
+ 23u
50
+ ··· + 9u + 1
c
4
u
52
+ 4u
51
+ ··· + 129u + 13
c
5
u
52
− 4u
50
+ ··· − 4u + 1
c
6
u
52
+ 2u
51
+ ··· + 15u + 3
c
7
u
52
− 11u
51
+ ··· − 116u + 8
c
8
u
52
+ 3u
51
+ ··· − 6u + 3
c
9
u
52
− u
51
+ ··· + 23u + 1
c
10
u
52
− 2u
51
+ ··· − 7u + 1
c
11
u
52
+ 19u
51
+ ··· − 4u
2
+ 1
c
12
u
52
+ 3u
51
+ ··· − 13u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
52
+ 34y
51
+ ··· + 2833y + 169
c
2
, c
6
y
52
+ 28y
51
+ ··· + 69y + 9
c
3
y
52
+ 46y
51
+ ··· − 17y + 1
c
5
y
52
− 8y
51
+ ··· + 6y + 1
c
7
y
52
− 21y
51
+ ··· − 1808y + 64
c
8
y
52
− 13y
51
+ ··· − 84y + 9
c
9
y
52
− 23y
51
+ ··· − 113y + 1
c
10
y
52
+ 16y
51
+ ··· + 41y + 1
c
11
y
52
− 19y
51
+ ··· − 8y + 1
c
12
y
52
− 31y
51
+ ··· − 23y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.652960 + 0.637860I
a = 1.65784 − 0.16878I
b = −1.29519 + 0.61815I
6.13332 − 5.72099I −1.24537 + 7.61544I
u = −0.652960 − 0.637860I
a = 1.65784 + 0.16878I
b = −1.29519 − 0.61815I
6.13332 + 5.72099I −1.24537 − 7.61544I
u = 0.008768 + 1.126750I
a = 0.928497 + 0.329012I
b = −0.777988 − 0.013359I
0.97362 − 6.45846I −6.65600 + 6.42245I
u = 0.008768 − 1.126750I
a = 0.928497 − 0.329012I
b = −0.777988 + 0.013359I
0.97362 + 6.45846I −6.65600 − 6.42245I
u = 0.415510 + 0.752390I
a = −0.58392 − 1.72986I
b = −0.504563 + 0.061587I
3.20238 + 2.07273I −5.97199 − 4.60101I
u = 0.415510 − 0.752390I
a = −0.58392 + 1.72986I
b = −0.504563 − 0.061587I
3.20238 − 2.07273I −5.97199 + 4.60101I
u = 0.133505 + 0.809896I
a = −0.215701 − 0.613899I
b = −0.021188 − 1.056420I
−2.43060 + 1.77269I −14.8037 − 3.9064I
u = 0.133505 − 0.809896I
a = −0.215701 + 0.613899I
b = −0.021188 + 1.056420I
−2.43060 − 1.77269I −14.8037 + 3.9064I
u = −0.708968 + 0.947872I
a = −0.007398 + 0.590674I
b = −0.900567 − 0.234899I
4.91982 + 3.50804I 0
u = −0.708968 − 0.947872I
a = −0.007398 − 0.590674I
b = −0.900567 + 0.234899I
4.91982 − 3.50804I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.930537 + 0.757158I
a = 1.239660 − 0.459607I
b = −0.768895 − 0.598246I
−0.52373 + 2.28579I 0
u = 0.930537 − 0.757158I
a = 1.239660 + 0.459607I
b = −0.768895 + 0.598246I
−0.52373 − 2.28579I 0
u = 0.731570 + 0.235096I
a = −1.46009 − 0.31188I
b = 0.917670 + 1.072620I
7.77777 + 1.78740I −0.18562 − 3.40756I
u = 0.731570 − 0.235096I
a = −1.46009 + 0.31188I
b = 0.917670 − 1.072620I
7.77777 − 1.78740I −0.18562 + 3.40756I
u = 0.108049 + 0.682637I
a = −1.345570 + 0.150323I
b = 0.879304 − 0.499691I
−2.39082 + 1.58407I −11.67294 − 1.24133I
u = 0.108049 − 0.682637I
a = −1.345570 − 0.150323I
b = 0.879304 + 0.499691I
−2.39082 − 1.58407I −11.67294 + 1.24133I
u = 0.079691 + 0.673680I
a = −1.119420 − 0.307973I
b = 0.367437 − 0.780502I
−2.51435 + 1.53915I −12.83361 − 5.15230I
u = 0.079691 − 0.673680I
a = −1.119420 + 0.307973I
b = 0.367437 + 0.780502I
−2.51435 − 1.53915I −12.83361 + 5.15230I
u = 0.112601 + 0.663694I
a = 0.35724 − 1.92716I
b = −0.12664 − 1.48355I
0.96177 + 1.32095I −7.63034 − 6.78269I
u = 0.112601 − 0.663694I
a = 0.35724 + 1.92716I
b = −0.12664 + 1.48355I
0.96177 − 1.32095I −7.63034 + 6.78269I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.768674 + 1.173050I
a = −1.056860 − 0.236192I
b = 1.41025 − 0.95482I
3.65449 − 9.20344I 0
u = −0.768674 − 1.173050I
a = −1.056860 + 0.236192I
b = 1.41025 + 0.95482I
3.65449 + 9.20344I 0
u = −1.296460 + 0.535567I
a = −0.004083 + 0.413710I
b = 0.064206 − 0.841764I
−1.43826 + 0.59411I 0
u = −1.296460 − 0.535567I
a = −0.004083 − 0.413710I
b = 0.064206 + 0.841764I
−1.43826 − 0.59411I 0
u = −0.788532 + 1.169340I
a = −0.611349 − 0.238696I
b = 0.901179 − 0.842970I
−0.80665 − 6.26401I 0
u = −0.788532 − 1.169340I
a = −0.611349 + 0.238696I
b = 0.901179 + 0.842970I
−0.80665 + 6.26401I 0
u = 0.556458 + 0.178895I
a = −2.69524 + 0.83414I
b = 0.169311 + 0.891518I
6.16572 + 11.26960I −1.18664 − 9.37557I
u = 0.556458 − 0.178895I
a = −2.69524 − 0.83414I
b = 0.169311 − 0.891518I
6.16572 − 11.26960I −1.18664 + 9.37557I
u = −0.564885 + 0.007919I
a = 3.29341 + 1.03445I
b = −0.326827 − 0.607832I
3.13550 + 5.53920I −0.22401 − 6.41610I
u = −0.564885 − 0.007919I
a = 3.29341 − 1.03445I
b = −0.326827 + 0.607832I
3.13550 − 5.53920I −0.22401 + 6.41610I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.68525 + 1.26227I
a = 0.219150 + 0.281359I
b = 0.696480 + 0.152507I
7.56683 − 4.19889I 0
u = 0.68525 − 1.26227I
a = 0.219150 − 0.281359I
b = 0.696480 − 0.152507I
7.56683 + 4.19889I 0
u = −0.539511 + 0.146069I
a = 0.718317 − 0.486945I
b = −2.10985 + 0.76525I
2.09469 + 0.51606I 1.91091 + 6.71605I
u = −0.539511 − 0.146069I
a = 0.718317 + 0.486945I
b = −2.10985 − 0.76525I
2.09469 − 0.51606I 1.91091 − 6.71605I
u = −0.99796 + 1.09420I
a = −1.044810 − 0.016097I
b = 1.001740 − 0.808653I
−1.61393 − 7.64882I 0
u = −0.99796 − 1.09420I
a = −1.044810 + 0.016097I
b = 1.001740 + 0.808653I
−1.61393 + 7.64882I 0
u = −1.45279 + 0.51555I
a = 0.535414 + 0.003141I
b = −0.475903 + 0.226704I
−0.651729 − 0.700633I 0
u = −1.45279 − 0.51555I
a = 0.535414 − 0.003141I
b = −0.475903 − 0.226704I
−0.651729 + 0.700633I 0
u = 0.362270 + 0.273257I
a = −0.288363 + 0.533618I
b = 2.21304 − 2.07319I
1.383160 − 0.234885I 24.3161 − 7.3652I
u = 0.362270 − 0.273257I
a = −0.288363 − 0.533618I
b = 2.21304 + 2.07319I
1.383160 + 0.234885I 24.3161 + 7.3652I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.86392 + 1.29358I
a = 1.052630 − 0.114187I
b = −1.41415 − 0.71494I
5.60098 + 9.63542I 0
u = 0.86392 − 1.29358I
a = 1.052630 + 0.114187I
b = −1.41415 + 0.71494I
5.60098 − 9.63542I 0
u = 0.137815 + 0.334327I
a = −1.12974 − 3.44901I
b = 0.575894 − 1.017770I
0.230026 − 0.884298I −9.25686 + 2.16133I
u = 0.137815 − 0.334327I
a = −1.12974 + 3.44901I
b = 0.575894 + 1.017770I
0.230026 + 0.884298I −9.25686 − 2.16133I
u = 1.67925 + 0.41336I
a = −0.940604 + 0.440820I
b = 0.783595 − 0.273961I
9.01130 − 1.78456I 0
u = 1.67925 − 0.41336I
a = −0.940604 − 0.440820I
b = 0.783595 + 0.273961I
9.01130 + 1.78456I 0
u = 1.09728 + 1.35237I
a = 0.404986 + 0.011522I
b = −0.718859 − 0.535107I
3.29384 + 5.68340I 0
u = 1.09728 − 1.35237I
a = 0.404986 − 0.011522I
b = −0.718859 + 0.535107I
3.29384 − 5.68340I 0
u = −1.73224 + 0.24392I
a = −1.220780 − 0.418144I
b = 0.797281 + 0.217402I
8.88816 + 0.25478I 0
u = −1.73224 − 0.24392I
a = −1.220780 + 0.418144I
b = 0.797281 − 0.217402I
8.88816 − 0.25478I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.60051 + 0.76066I
a = −0.183211 + 0.134674I
b = 0.163229 + 0.383408I
3.17404 + 6.50362I 0
u = 1.60051 − 0.76066I
a = −0.183211 − 0.134674I
b = 0.163229 − 0.383408I
3.17404 − 6.50362I 0
35
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
52
− 4u
51
+ ··· − 129u + 13)
· (u
193
− 9u
192
+ ··· − 25294392u + 821143)
c
2
(u
52
− 2u
51
+ ··· − 15u + 3)(u
193
+ 3u
192
+ ··· − 9488u + 1279)
c
3
(u
52
+ 23u
50
+ ··· + 9u + 1)
· (u
193
− u
192
+ ··· − 84164118u + 75604697)
c
4
(u
52
+ 4u
51
+ ··· + 129u + 13)
· (u
193
− 9u
192
+ ··· − 25294392u + 821143)
c
5
(u
52
− 4u
50
+ ··· − 4u + 1)(u
193
− 3u
192
+ ··· + 1523u + 119)
c
6
(u
52
+ 2u
51
+ ··· + 15u + 3)(u
193
+ 3u
192
+ ··· − 9488u + 1279)
c
7
(u
52
− 11u
51
+ ··· − 116u + 8)
· (u
193
+ 4u
192
+ ··· − 136105380u + 161762888)
c
8
(u
52
+ 3u
51
+ ··· − 6u + 3)(u
193
− 4u
192
+ ··· + 66807u + 16531)
c
9
(u
52
− u
51
+ ··· + 23u + 1)(u
193
+ 2u
192
+ ··· − 1.96978 × 10
7
u + 389851)
c
10
(u
52
− 2u
51
+ ··· − 7u + 1)
· (u
193
− 5u
192
+ ··· − 885248946u + 70940957)
c
11
(u
52
+ 19u
51
+ ··· − 4u
2
+ 1)(u
193
+ 6u
192
+ ··· − 3800155u + 329741)
c
12
(u
52
+ 3u
51
+ ··· − 13u + 1)(u
193
− 24u
191
+ ··· + 71854u + 6323)
36
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
52
+ 34y
51
+ ··· + 2833y + 169)
· (y
193
+ 149y
192
+ ··· + 91423314119834y −674275826449)
c
2
, c
6
(y
52
+ 28y
51
+ ··· + 69y + 9)
· (y
193
+ 115y
192
+ ··· + 62705262y −1635841)
c
3
(y
52
+ 46y
51
+ ··· − 17y + 1)
· (y
193
+ 81y
192
+ ··· − 246539706104330476y −5716070208461809)
c
5
(y
52
− 8y
51
+ ··· + 6y + 1)(y
193
+ 7y
192
+ ··· − 804935y −14161)
c
7
(y
52
− 21y
51
+ ··· − 1808y + 64)
· (y
193
+ 22y
192
+ ··· + 1403258281552618544y −26167231934100544)
c
8
(y
52
− 13y
51
+ ··· − 84y + 9)
· (y
193
− 46y
192
+ ··· + 29373639963y −273273961)
c
9
(y
52
− 23y
51
+ ··· − 113y + 1)
· (y
193
− 48y
192
+ ··· + 204957052058088y −151983802201)
c
10
(y
52
+ 16y
51
+ ··· + 41y + 1)
· (y
193
+ 71y
192
+ ··· − 122129491189476726y −5032619380075849)
c
11
(y
52
− 19y
51
+ ··· − 8y + 1)
· (y
193
+ 86y
191
+ ··· − 7760857914797y −108729127081)
c
12
(y
52
− 31y
51
+ ··· − 23y + 1)
· (y
193
− 48y
192
+ ··· + 3821977538y −39980329)
37
