12a
1087
(K12a
1087
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 9 11 3 12 5 2 8 6
Solving Sequence
6,9
5
1,10
4 2 3 12 8 7 11
c
5
c
9
c
4
c
1
c
3
c
12
c
8
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.91910 × 10
765
u
138
+ 3.12076 × 10
766
u
137
+ ··· + 2.08048 × 10
766
b − 1.92264 × 10
769
,
− 2.36640 × 10
768
u
138
− 3.49494 × 10
769
u
137
+ ··· + 2.56107 × 10
769
a + 1.97863 × 10
772
,
u
139
+ 7u
138
+ ··· + 11682u − 1231i
I
u
2
= h−1.20250 × 10
21
u
26
− 3.96564 × 10
20
u
25
+ ··· + 3.82872 × 10
21
b − 2.56885 × 10
21
,
1.83911 × 10
22
u
26
+ 3.24467 × 10
22
u
25
+ ··· + 3.82872 × 10
21
a + 2.71471 × 10
22
, u
27
+ 2u
26
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 166 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
= h1.92 × 10
765
u
138
+ 3.12 × 10
766
u
137
+ · · · + 2.08 × 10
766
b − 1.92 ×
10
769
, −2.37 × 10
768
u
138
− 3.49 × 10
769
u
137
+ · · · + 2.56 × 10
769
a + 1.98 ×
10
772
, u
139
+ 7u
138
+ · · · + 11682u − 1231i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
5
=
1
u
2
a
1
=
0.0923992u
138
+ 1.36464u
137
+ ··· + 7209.45u − 772.579
−0.0922435u
138
− 1.50002u
137
+ ··· − 8590.71u + 924.136
a
10
=
u
u
3
+ u
a
4
=
−0.549881u
138
− 3.93080u
137
+ ··· − 52.9648u + 59.9517
0.399436u
138
+ 2.81424u
137
+ ··· − 390.909u − 0.625575
a
2
=
0.225887u
138
+ 1.40797u
137
+ ··· − 2060.40u + 193.283
−0.0274120u
138
− 0.225529u
137
+ ··· − 219.675u + 30.6034
a
3
=
−0.189124u
138
− 1.42316u
137
+ ··· − 713.671u + 93.3319
0.310659u
138
+ 2.17704u
137
+ ··· − 401.163u + 11.0094
a
12
=
0.000155686u
138
− 0.135379u
137
+ ··· − 1381.27u + 151.556
−0.0922435u
138
− 1.50002u
137
+ ··· − 8590.71u + 924.136
a
8
=
0.0441154u
138
+ 0.262529u
137
+ ··· − 450.945u + 42.2162
−0.0738248u
138
− 0.0284938u
137
+ ··· + 4575.07u − 472.844
a
7
=
0.0177352u
138
− 0.0819765u
137
+ ··· − 2406.75u + 251.185
0.355643u
138
+ 2.56097u
137
+ ··· + 163.686u − 59.8001
a
11
=
−0.0205174u
138
− 0.0898126u
137
+ ··· + 597.154u − 56.9696
−0.0652540u
138
− 0.245445u
137
+ ··· + 2278.61u − 233.997
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.43120u
138
+ 9.34049u
137
+ ··· − 9490.61u + 842.501
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
139
− 8u
138
+ ··· + 16402u − 877
c
2
, c
7
u
139
+ u
138
+ ··· − 2696u + 400
c
3
u
139
+ u
138
+ ··· + 8317u − 739
c
5
, c
9
u
139
− 7u
138
+ ··· + 11682u + 1231
c
6
u
139
− 5u
138
+ ··· + 3449844u + 1329092
c
8
, c
11
u
139
− 53u
137
+ ··· + 347585u + 14407
c
10
u
139
+ u
138
+ ··· − 2613392u + 228149
c
12
u
139
+ 2u
138
+ ··· − 1050507u − 108932
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
139
+ 92y
138
+ ··· − 1895482y −769129
c
2
, c
7
y
139
− 75y
138
+ ··· + 7284416y −160000
c
3
y
139
− 7y
138
+ ··· + 158245637y −546121
c
5
, c
9
y
139
+ 111y
138
+ ··· − 54973534y −1515361
c
6
y
139
+ 33y
138
+ ··· − 63550645426176y −1766485544464
c
8
, c
11
y
139
− 106y
138
+ ··· + 5626584101y −207561649
c
10
y
139
− 61y
138
+ ··· + 6848256291546y −52051966201
c
12
y
139
− 34y
138
+ ··· + 547581039921y −11866180624
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.039989 + 1.017880I
a = 0.0196678 − 0.0235319I
b = 0.03432 − 1.63507I
1.36706 − 0.77225I 0
u = −0.039989 − 1.017880I
a = 0.0196678 + 0.0235319I
b = 0.03432 + 1.63507I
1.36706 + 0.77225I 0
u = 0.481191 + 0.937078I
a = 1.67515 + 0.27171I
b = −0.519513 + 0.402886I
0.23466 + 4.83606I 0
u = 0.481191 − 0.937078I
a = 1.67515 − 0.27171I
b = −0.519513 − 0.402886I
0.23466 − 4.83606I 0
u = −0.942337 + 0.076060I
a = −0.331531 − 0.494964I
b = −0.686624 + 0.904248I
7.02740 + 3.30222I 0
u = −0.942337 − 0.076060I
a = −0.331531 + 0.494964I
b = −0.686624 − 0.904248I
7.02740 − 3.30222I 0
u = −0.939126 + 0.062489I
a = −0.180705 + 0.241630I
b = 0.143026 − 1.053040I
4.84217 + 3.09296I 0
u = −0.939126 − 0.062489I
a = −0.180705 − 0.241630I
b = 0.143026 + 1.053040I
4.84217 − 3.09296I 0
u = 0.182420 + 1.045360I
a = −1.82996 − 0.34133I
b = 0.438713 − 0.455038I
0.96021 + 6.14982I 0
u = 0.182420 − 1.045360I
a = −1.82996 + 0.34133I
b = 0.438713 + 0.455038I
0.96021 − 6.14982I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.031760 + 0.257231I
a = 0.146884 + 0.150541I
b = −0.308572 − 1.066430I
8.12766 − 7.82410I 0
u = 1.031760 − 0.257231I
a = 0.146884 − 0.150541I
b = −0.308572 + 1.066430I
8.12766 + 7.82410I 0
u = 0.087117 + 1.060770I
a = −1.66253 + 0.22246I
b = 1.63686 − 1.46324I
−4.75228 + 2.50216I 0
u = 0.087117 − 1.060770I
a = −1.66253 − 0.22246I
b = 1.63686 + 1.46324I
−4.75228 − 2.50216I 0
u = 0.590045 + 0.721712I
a = −0.134505 + 0.309103I
b = 0.150663 + 0.635932I
0.992305 − 0.435783I 0
u = 0.590045 − 0.721712I
a = −0.134505 − 0.309103I
b = 0.150663 − 0.635932I
0.992305 + 0.435783I 0
u = 0.031384 + 1.076740I
a = −2.33667 − 0.43733I
b = 2.35961 + 1.54533I
−0.42394 + 8.03187I 0
u = 0.031384 − 1.076740I
a = −2.33667 + 0.43733I
b = 2.35961 − 1.54533I
−0.42394 − 8.03187I 0
u = −0.791917 + 0.453106I
a = 0.277654 + 1.369740I
b = 1.066170 − 0.918445I
3.95818 + 3.42854I 0
u = −0.791917 − 0.453106I
a = 0.277654 − 1.369740I
b = 1.066170 + 0.918445I
3.95818 − 3.42854I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.054450 + 1.088940I
a = 2.11968 + 0.67772I
b = −1.99435 + 0.39427I
−4.99290 − 1.46818I 0
u = 0.054450 − 1.088940I
a = 2.11968 − 0.67772I
b = −1.99435 − 0.39427I
−4.99290 + 1.46818I 0
u = −0.447675 + 0.789562I
a = 0.114568 + 0.948194I
b = 0.123171 + 0.921072I
3.21263 + 2.15083I 0
u = −0.447675 − 0.789562I
a = 0.114568 − 0.948194I
b = 0.123171 − 0.921072I
3.21263 − 2.15083I 0
u = 0.083801 + 1.099070I
a = 0.798809 + 0.207338I
b = −0.67844 − 1.34155I
−3.06633 + 3.30259I 0
u = 0.083801 − 1.099070I
a = 0.798809 − 0.207338I
b = −0.67844 + 1.34155I
−3.06633 − 3.30259I 0
u = −0.068937 + 0.892914I
a = 2.51879 − 1.17012I
b = −2.21428 − 0.26115I
0.44041 − 8.05097I 0
u = −0.068937 − 0.892914I
a = 2.51879 + 1.17012I
b = −2.21428 + 0.26115I
0.44041 + 8.05097I 0
u = −0.077678 + 0.890499I
a = 0.71200 + 1.71379I
b = −0.174279 − 0.279106I
1.70213 + 0.28632I 0
u = −0.077678 − 0.890499I
a = 0.71200 − 1.71379I
b = −0.174279 + 0.279106I
1.70213 − 0.28632I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.088786 + 1.106150I
a = −1.40345 + 1.03827I
b = 0.773931 + 0.572411I
−1.09142 − 5.55350I 0
u = −0.088786 − 1.106150I
a = −1.40345 − 1.03827I
b = 0.773931 − 0.572411I
−1.09142 + 5.55350I 0
u = 0.834045 + 0.273977I
a = −0.876904 − 0.079081I
b = −0.396614 + 0.757911I
0.655785 + 0.412691I 0
u = 0.834045 − 0.273977I
a = −0.876904 + 0.079081I
b = −0.396614 − 0.757911I
0.655785 − 0.412691I 0
u = −0.220109 + 0.849026I
a = −2.21359 − 0.53451I
b = 0.212927 − 0.037209I
3.30502 − 5.19427I 0
u = −0.220109 − 0.849026I
a = −2.21359 + 0.53451I
b = 0.212927 + 0.037209I
3.30502 + 5.19427I 0
u = 0.367380 + 1.077480I
a = 1.68645 − 0.77728I
b = −1.01153 + 1.01694I
5.73298 + 3.93821I 0
u = 0.367380 − 1.077480I
a = 1.68645 + 0.77728I
b = −1.01153 − 1.01694I
5.73298 − 3.93821I 0
u = −0.327601 + 1.090830I
a = −1.42439 + 0.51690I
b = 1.087470 + 0.507462I
−0.46130 − 3.27866I 0
u = −0.327601 − 1.090830I
a = −1.42439 − 0.51690I
b = 1.087470 − 0.507462I
−0.46130 + 3.27866I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.017265 + 1.139470I
a = 1.74565 + 0.84719I
b = −0.936575 − 0.095849I
−4.15278 − 1.25480I 0
u = −0.017265 − 1.139470I
a = 1.74565 − 0.84719I
b = −0.936575 + 0.095849I
−4.15278 + 1.25480I 0
u = 0.373192 + 1.084140I
a = 1.45213 + 0.00338I
b = −0.945126 − 0.056043I
−1.03935 + 4.42291I 0
u = 0.373192 − 1.084140I
a = 1.45213 − 0.00338I
b = −0.945126 + 0.056043I
−1.03935 − 4.42291I 0
u = 0.302430 + 0.796360I
a = −1.103040 − 0.042384I
b = 0.598151 + 0.322825I
0.216594 − 0.842012I 0
u = 0.302430 − 0.796360I
a = −1.103040 + 0.042384I
b = 0.598151 − 0.322825I
0.216594 + 0.842012I 0
u = 0.848616
a = −0.713224
b = −0.787143
−2.75706 0
u = −0.773459 + 0.346387I
a = −0.086847 − 0.663875I
b = −1.052270 − 0.442375I
0.02568 − 9.16776I 0
u = −0.773459 − 0.346387I
a = −0.086847 + 0.663875I
b = −1.052270 + 0.442375I
0.02568 + 9.16776I 0
u = −0.028769 + 1.163310I
a = 1.43970 + 0.43359I
b = −0.810439 − 0.300982I
−3.90999 − 1.28091I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.028769 − 1.163310I
a = 1.43970 − 0.43359I
b = −0.810439 + 0.300982I
−3.90999 + 1.28091I 0
u = 1.157500 + 0.210012I
a = 0.316075 + 0.278235I
b = 0.624164 − 0.774953I
1.47807 + 7.25058I 0
u = 1.157500 − 0.210012I
a = 0.316075 − 0.278235I
b = 0.624164 + 0.774953I
1.47807 − 7.25058I 0
u = 0.146476 + 1.171690I
a = 0.514628 − 0.729483I
b = −0.136779 − 0.542334I
−2.73877 + 3.09519I 0
u = 0.146476 − 1.171690I
a = 0.514628 + 0.729483I
b = −0.136779 + 0.542334I
−2.73877 − 3.09519I 0
u = −0.552991 + 1.057900I
a = −1.203300 + 0.102426I
b = 0.756700 + 0.547761I
0.16568 − 2.71588I 0
u = −0.552991 − 1.057900I
a = −1.203300 − 0.102426I
b = 0.756700 − 0.547761I
0.16568 + 2.71588I 0
u = 0.371996 + 1.134640I
a = −1.59263 + 0.64548I
b = 0.658365 − 0.692759I
5.74931 + 2.78021I 0
u = 0.371996 − 1.134640I
a = −1.59263 − 0.64548I
b = 0.658365 + 0.692759I
5.74931 − 2.78021I 0
u = −0.433851 + 1.120870I
a = −1.60925 + 0.35628I
b = 1.66952 − 0.07451I
2.24989 − 7.68736I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.433851 − 1.120870I
a = −1.60925 − 0.35628I
b = 1.66952 + 0.07451I
2.24989 + 7.68736I 0
u = −0.467532 + 1.152310I
a = 2.02188 + 0.01910I
b = −2.13876 − 1.09095I
1.67311 − 8.19393I 0
u = −0.467532 − 1.152310I
a = 2.02188 − 0.01910I
b = −2.13876 + 1.09095I
1.67311 + 8.19393I 0
u = −0.249470 + 1.220880I
a = −0.893230 + 0.580621I
b = 0.974047 − 0.221692I
−1.39797 − 3.63551I 0
u = −0.249470 − 1.220880I
a = −0.893230 − 0.580621I
b = 0.974047 + 0.221692I
−1.39797 + 3.63551I 0
u = −1.076950 + 0.641101I
a = 0.087794 + 0.405901I
b = 0.773698 − 0.104577I
−0.68271 + 3.22757I 0
u = −1.076950 − 0.641101I
a = 0.087794 − 0.405901I
b = 0.773698 + 0.104577I
−0.68271 − 3.22757I 0
u = 0.725653
a = −0.972682
b = −0.763288
−2.76319 0
u = −0.374091 + 0.610450I
a = 1.83757 − 0.94783I
b = −1.030650 + 0.287017I
4.07537 + 3.90489I 0
u = −0.374091 − 0.610450I
a = 1.83757 + 0.94783I
b = −1.030650 − 0.287017I
4.07537 − 3.90489I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.356277 + 1.243310I
a = −0.438624 − 0.135205I
b = 0.488644 + 0.586217I
0.970784 − 0.919988I 0
u = 0.356277 − 1.243310I
a = −0.438624 + 0.135205I
b = 0.488644 − 0.586217I
0.970784 + 0.919988I 0
u = −0.906645 + 0.931589I
a = 0.314296 − 0.266178I
b = −0.319629 + 0.514142I
1.25328 − 2.74446I 0
u = −0.906645 − 0.931589I
a = 0.314296 + 0.266178I
b = −0.319629 − 0.514142I
1.25328 + 2.74446I 0
u = 0.176616 + 1.308750I
a = 1.74204 − 1.12027I
b = −1.78188 + 1.96773I
−5.61781 + 3.39275I 0
u = 0.176616 − 1.308750I
a = 1.74204 + 1.12027I
b = −1.78188 − 1.96773I
−5.61781 − 3.39275I 0
u = 0.553392 + 1.203660I
a = −1.48499 + 0.23229I
b = 0.740000 − 0.839226I
5.1418 + 13.4141I 0
u = 0.553392 − 1.203660I
a = −1.48499 − 0.23229I
b = 0.740000 + 0.839226I
5.1418 − 13.4141I 0
u = −0.468809 + 1.244510I
a = 1.38809 + 0.40545I
b = −0.747492 − 0.753060I
1.19760 − 8.08283I 0
u = −0.468809 − 1.244510I
a = 1.38809 − 0.40545I
b = −0.747492 + 0.753060I
1.19760 + 8.08283I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.660546 + 0.073763I
a = −0.205708 + 0.250471I
b = −0.740825 + 0.321041I
2.51314 − 0.35356I 0
u = −0.660546 − 0.073763I
a = −0.205708 − 0.250471I
b = −0.740825 − 0.321041I
2.51314 + 0.35356I 0
u = −1.336270 + 0.115797I
a = −0.231488 + 0.281431I
b = −0.687954 − 0.713203I
4.34326 − 12.97320I 0
u = −1.336270 − 0.115797I
a = −0.231488 − 0.281431I
b = −0.687954 + 0.713203I
4.34326 + 12.97320I 0
u = 0.299884 + 1.319070I
a = 1.52126 + 0.16495I
b = −1.38889 + 0.91441I
−7.92025 + 6.75634I 0
u = 0.299884 − 1.319070I
a = 1.52126 − 0.16495I
b = −1.38889 − 0.91441I
−7.92025 − 6.75634I 0
u = 0.281389 + 1.331420I
a = −1.026050 − 0.162850I
b = 1.05624 − 1.01829I
−7.24396 + 2.40454I 0
u = 0.281389 − 1.331420I
a = −1.026050 + 0.162850I
b = 1.05624 + 1.01829I
−7.24396 − 2.40454I 0
u = −0.463305 + 1.282990I
a = −1.71818 − 0.26508I
b = 1.63413 + 1.14248I
3.23935 − 8.32107I 0
u = −0.463305 − 1.282990I
a = −1.71818 + 0.26508I
b = 1.63413 − 1.14248I
3.23935 + 8.32107I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.584136 + 0.247452I
a = 0.421661 − 0.754305I
b = 1.077540 − 0.353100I
−3.14158 + 3.44373I 0
u = 0.584136 − 0.247452I
a = 0.421661 + 0.754305I
b = 1.077540 + 0.353100I
−3.14158 − 3.44373I 0
u = −0.321427 + 1.342410I
a = 1.039880 − 0.197638I
b = −0.902832 − 0.970509I
−6.50937 − 5.32700I 0
u = −0.321427 − 1.342410I
a = 1.039880 + 0.197638I
b = −0.902832 + 0.970509I
−6.50937 + 5.32700I 0
u = 0.583304 + 0.207462I
a = 0.436201 + 0.085072I
b = −0.131680 − 1.321520I
8.55860 + 0.99400I 0
u = 0.583304 − 0.207462I
a = 0.436201 − 0.085072I
b = −0.131680 + 1.321520I
8.55860 − 0.99400I 0
u = −0.066869 + 1.383810I
a = −0.926148 − 0.875994I
b = 1.01878 + 1.70338I
−3.55754 + 4.25566I 0
u = −0.066869 − 1.383810I
a = −0.926148 + 0.875994I
b = 1.01878 − 1.70338I
−3.55754 − 4.25566I 0
u = −0.358578 + 1.353740I
a = −1.385230 + 0.162765I
b = 1.27684 + 0.99633I
−5.0960 − 13.2130I 0
u = −0.358578 − 1.353740I
a = −1.385230 − 0.162765I
b = 1.27684 − 0.99633I
−5.0960 + 13.2130I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.18710 + 1.40351I
a = −0.94830 + 1.47018I
b = 1.00031 − 2.40983I
−5.07603 + 3.65056I 0
u = 0.18710 − 1.40351I
a = −0.94830 − 1.47018I
b = 1.00031 + 2.40983I
−5.07603 − 3.65056I 0
u = 0.277237 + 0.509115I
a = 0.109069 − 1.253980I
b = 0.31732 + 1.70562I
7.86663 − 0.84356I 8.94836 − 8.55332I
u = 0.277237 − 0.509115I
a = 0.109069 + 1.253980I
b = 0.31732 − 1.70562I
7.86663 + 0.84356I 8.94836 + 8.55332I
u = 0.40681 + 1.39341I
a = −0.936551 − 0.130409I
b = 1.115630 − 0.837332I
−7.62184 + 4.84470I 0
u = 0.40681 − 1.39341I
a = −0.936551 + 0.130409I
b = 1.115630 + 0.837332I
−7.62184 − 4.84470I 0
u = −0.28802 + 1.42929I
a = 1.002610 − 0.058464I
b = −1.077130 − 0.745099I
−7.33857 − 1.25951I 0
u = −0.28802 − 1.42929I
a = 1.002610 + 0.058464I
b = −1.077130 + 0.745099I
−7.33857 + 1.25951I 0
u = 0.51596 + 1.43038I
a = 1.41397 − 0.32237I
b = −1.44907 + 1.27931I
−3.58825 + 13.11680I 0
u = 0.51596 − 1.43038I
a = 1.41397 + 0.32237I
b = −1.44907 − 1.27931I
−3.58825 − 13.11680I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.69612 + 1.38087I
a = −1.146870 − 0.114162I
b = 1.48592 − 0.73963I
−3.55383 + 8.80422I 0
u = 0.69612 − 1.38087I
a = −1.146870 + 0.114162I
b = 1.48592 + 0.73963I
−3.55383 − 8.80422I 0
u = −0.58179 + 1.43792I
a = −1.359140 − 0.214738I
b = 1.41403 + 1.23197I
−0.4818 − 19.5325I 0
u = −0.58179 − 1.43792I
a = −1.359140 + 0.214738I
b = 1.41403 − 1.23197I
−0.4818 + 19.5325I 0
u = 0.59805 + 1.43204I
a = −1.110790 + 0.099743I
b = 1.25964 − 1.03890I
−5.64794 + 7.01015I 0
u = 0.59805 − 1.43204I
a = −1.110790 − 0.099743I
b = 1.25964 + 1.03890I
−5.64794 − 7.01015I 0
u = −0.64500 + 1.42968I
a = 1.106970 + 0.024902I
b = −1.15963 − 0.96667I
−4.23728 − 11.08710I 0
u = −0.64500 − 1.42968I
a = 1.106970 − 0.024902I
b = −1.15963 + 0.96667I
−4.23728 + 11.08710I 0
u = −0.65541 + 1.43897I
a = 1.058700 − 0.018122I
b = −1.29787 − 0.66924I
−3.40553 − 6.31340I 0
u = −0.65541 − 1.43897I
a = 1.058700 + 0.018122I
b = −1.29787 + 0.66924I
−3.40553 + 6.31340I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.113740 + 0.398757I
a = −1.088170 + 0.091749I
b = 0.329796 + 0.453350I
0.072988 − 0.990449I 1.48529 + 6.57809I
u = −0.113740 − 0.398757I
a = −1.088170 − 0.091749I
b = 0.329796 − 0.453350I
0.072988 + 0.990449I 1.48529 − 6.57809I
u = −0.094771 + 0.399545I
a = −1.36616 + 2.88513I
b = 0.663327 − 0.013899I
−1.04019 − 2.63838I −6.99061 + 4.42778I
u = −0.094771 − 0.399545I
a = −1.36616 − 2.88513I
b = 0.663327 + 0.013899I
−1.04019 + 2.63838I −6.99061 − 4.42778I
u = 0.343265 + 0.117512I
a = 1.73226 + 1.78271I
b = −0.502238 + 0.591694I
3.59763 + 4.11065I 5.82072 − 5.61946I
u = 0.343265 − 0.117512I
a = 1.73226 − 1.78271I
b = −0.502238 − 0.591694I
3.59763 − 4.11065I 5.82072 + 5.61946I
u = −0.63803 + 1.52425I
a = −0.525394 − 0.274337I
b = 0.438080 + 0.637990I
0.27250 − 2.21699I 0
u = −0.63803 − 1.52425I
a = −0.525394 + 0.274337I
b = 0.438080 − 0.637990I
0.27250 + 2.21699I 0
u = 0.298004
a = −4.15306
b = −0.694282
−2.52826 −15.0640
u = 0.236435 + 0.097532I
a = 2.81692 + 0.19777I
b = 0.780124 − 0.835008I
−1.28368 + 1.58406I 11.09382 + 2.87087I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.236435 − 0.097532I
a = 2.81692 − 0.19777I
b = 0.780124 + 0.835008I
−1.28368 − 1.58406I 11.09382 − 2.87087I
u = −0.082224 + 0.187056I
a = −3.82221 − 3.33295I
b = −0.730956 − 0.542297I
1.33640 + 4.70171I 3.35863 − 4.48242I
u = −0.082224 − 0.187056I
a = −3.82221 + 3.33295I
b = −0.730956 + 0.542297I
1.33640 − 4.70171I 3.35863 + 4.48242I
u = 1.83927 + 0.39454I
a = −0.021799 + 0.304765I
b = −0.591106 − 0.121142I
0.011733 − 1.238270I 0
u = 1.83927 − 0.39454I
a = −0.021799 − 0.304765I
b = −0.591106 + 0.121142I
0.011733 + 1.238270I 0
u = −2.04211 + 2.29084I
a = −0.1264460 + 0.0133185I
b = 0.285526 + 0.213519I
0.33117 − 2.06479I 0
u = −2.04211 − 2.29084I
a = −0.1264460 − 0.0133185I
b = 0.285526 − 0.213519I
0.33117 + 2.06479I 0
u = −0.82448 + 3.09905I
a = −0.094218 − 0.111486I
b = 0.202939 + 0.431479I
−0.25317 + 2.32761I 0
u = −0.82448 − 3.09905I
a = −0.094218 + 0.111486I
b = 0.202939 − 0.431479I
−0.25317 − 2.32761I 0
18
II.
I
u
2
= h−1.20×10
21
u
26
−3.97×10
20
u
25
+· · ·+3.83×10
21
b−2.57×10
21
, 1.84×
10
22
u
26
+3.24×10
22
u
25
+· · ·+3.83×10
21
a+2.71×10
22
, u
27
+2u
26
+· · ·+2u−1i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
5
=
1
u
2
a
1
=
−4.80347u
26
− 8.47454u
25
+ ··· + 46.2091u − 7.09039
0.314072u
26
+ 0.103576u
25
+ ··· − 0.0876697u + 0.670942
a
10
=
u
u
3
+ u
a
4
=
−3.86527u
26
− 10.4114u
25
+ ··· − 6.83438u + 19.1686
0.524610u
26
+ 1.51441u
25
+ ··· + 3.35566u − 0.213317
a
2
=
6.10923u
26
+ 10.3421u
25
+ ··· − 64.7521u + 11.0848
−0.219972u
26
− 0.103324u
25
+ ··· − 2.75459u + 0.954989
a
3
=
−3.09882u
26
− 8.55038u
25
+ ··· − 5.78651u + 16.6389
1.17447u
26
+ 3.10121u
25
+ ··· + 4.51376u − 2.41494
a
12
=
−4.48940u
26
− 8.37097u
25
+ ··· + 46.1214u − 6.41944
0.314072u
26
+ 0.103576u
25
+ ··· − 0.0876697u + 0.670942
a
8
=
7.52362u
26
+ 13.8529u
25
+ ··· − 77.2280u + 11.8262
1.31407u
26
+ 2.10358u
25
+ ··· − 16.0877u + 2.67094
a
7
=
9.73610u
26
+ 20.4226u
25
+ ··· − 66.9831u − 3.94315
−0.205239u
26
− 1.30488u
25
+ ··· − 15.7487u + 5.16841
a
11
=
7.82255u
26
+ 13.0054u
25
+ ··· − 80.4141u + 16.6766
2.88659u
26
+ 5.24058u
25
+ ··· − 23.4164u + 3.81162
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
45448484216836350794475
3828721739516796557887
u
26
−
102038795755243704727620
3828721739516796557887
u
25
+ ··· +
62344285361016392243961
3828721739516796557887
u +
107165739323230558606179
3828721739516796557887
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
27
− 3u
26
+ ··· + 28u − 1
c
2
u
27
− 6u
25
+ ··· + 3u + 1
c
3
u
27
− 8u
24
+ ··· + u − 1
c
4
u
27
+ 3u
26
+ ··· + 28u + 1
c
5
u
27
+ 2u
26
+ ··· + 2u − 1
c
6
u
27
+ 4u
26
+ ··· + 2u − 4
c
7
u
27
− 6u
25
+ ··· + 3u − 1
c
8
u
27
+ 5u
26
+ ··· + 65u − 25
c
9
u
27
− 2u
26
+ ··· + 2u + 1
c
10
u
27
+ 8u
26
+ ··· − 4u − 1
c
11
u
27
− 5u
26
+ ··· + 65u + 25
c
12
u
27
+ u
26
+ ··· − 6u − 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
27
+ 19y
26
+ ··· + 546y −1
c
2
, c
7
y
27
− 12y
26
+ ··· + 23y −1
c
3
y
27
+ 20y
25
+ ··· − 31y −1
c
5
, c
9
y
27
+ 34y
26
+ ··· − 30y −1
c
6
y
27
+ 8y
26
+ ··· + 252y −16
c
8
, c
11
y
27
− 23y
26
+ ··· + 5025y −625
c
10
y
27
− 18y
26
+ ··· + 14y −1
c
12
y
27
− 7y
26
+ ··· − 38y −1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.138240 + 1.042160I
a = 1.70968 − 1.09789I
b = −1.095150 − 0.186222I
−0.22983 − 5.58124I 0.06064 + 6.51484I
u = −0.138240 − 1.042160I
a = 1.70968 + 1.09789I
b = −1.095150 + 0.186222I
−0.22983 + 5.58124I 0.06064 − 6.51484I
u = 0.198761 + 0.901927I
a = 2.28587 − 0.37813I
b = −0.787321 + 0.087852I
2.78096 + 5.11224I −2.31315 − 5.94919I
u = 0.198761 − 0.901927I
a = 2.28587 + 0.37813I
b = −0.787321 − 0.087852I
2.78096 − 5.11224I −2.31315 + 5.94919I
u = −0.511847 + 0.967951I
a = −1.42591 + 0.27088I
b = 0.603886 + 0.183106I
0.09347 − 4.33568I 0.503085 + 0.751288I
u = −0.511847 − 0.967951I
a = −1.42591 − 0.27088I
b = 0.603886 − 0.183106I
0.09347 + 4.33568I 0.503085 − 0.751288I
u = −0.011973 + 1.126140I
a = −1.84739 − 0.93323I
b = 1.180230 + 0.134510I
−3.82328 − 1.33571I 7.10935 + 2.84045I
u = −0.011973 − 1.126140I
a = −1.84739 + 0.93323I
b = 1.180230 − 0.134510I
−3.82328 + 1.33571I 7.10935 − 2.84045I
u = −0.430646 + 1.041410I
a = 2.33822 − 0.78048I
b = −2.48112 − 0.28631I
0.85946 − 9.60514I 0.41397 + 11.53152I
u = −0.430646 − 1.041410I
a = 2.33822 + 0.78048I
b = −2.48112 + 0.28631I
0.85946 + 9.60514I 0.41397 − 11.53152I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.089800 + 0.374773I
a = 0.499711 − 0.151169I
b = 0.385899 + 0.197191I
0.08704 + 2.81180I 1.96585 − 2.02367I
u = −1.089800 − 0.374773I
a = 0.499711 + 0.151169I
b = 0.385899 − 0.197191I
0.08704 − 2.81180I 1.96585 + 2.02367I
u = 0.158522 + 1.302250I
a = −1.47879 + 1.42803I
b = 1.50567 − 2.38043I
−6.28046 + 3.93755I −10.87147 − 7.00714I
u = 0.158522 − 1.302250I
a = −1.47879 − 1.42803I
b = 1.50567 + 2.38043I
−6.28046 − 3.93755I −10.87147 + 7.00714I
u = 0.638407
a = −1.50885
b = −0.657346
−2.16427 9.49510
u = 0.32602 + 1.38215I
a = −0.905811 − 0.040053I
b = 0.958732 − 0.988591I
−7.36877 + 3.74464I −4.63601 − 1.89404I
u = 0.32602 − 1.38215I
a = −0.905811 + 0.040053I
b = 0.958732 + 0.988591I
−7.36877 − 3.74464I −4.63601 + 1.89404I
u = 0.354754 + 0.365472I
a = −1.003520 + 0.632064I
b = −0.620997 + 0.715658I
−1.72992 + 1.75908I −5.11746 − 3.86134I
u = 0.354754 − 0.365472I
a = −1.003520 − 0.632064I
b = −0.620997 − 0.715658I
−1.72992 − 1.75908I −5.11746 + 3.86134I
u = −0.059901 + 0.457684I
a = 0.86940 − 1.21905I
b = −0.16846 + 1.67690I
7.70384 + 1.16350I −2.19116 − 10.82089I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.059901 − 0.457684I
a = 0.86940 + 1.21905I
b = −0.16846 − 1.67690I
7.70384 − 1.16350I −2.19116 + 10.82089I
u = 0.69506 + 1.42541I
a = −1.051960 − 0.029718I
b = 1.29881 − 0.79638I
−4.17196 + 7.87136I 0. − 4.78656I
u = 0.69506 − 1.42541I
a = −1.051960 + 0.029718I
b = 1.29881 + 0.79638I
−4.17196 − 7.87136I 0. + 4.78656I
u = 0.024581 + 0.373492I
a = −0.77209 + 3.25067I
b = 0.003859 + 1.019650I
2.96872 − 0.55564I 8.52805 − 0.35655I
u = 0.024581 − 0.373492I
a = −0.77209 − 3.25067I
b = 0.003859 − 1.019650I
2.96872 + 0.55564I 8.52805 + 0.35655I
u = −0.83449 + 2.98133I
a = 0.0370278 + 0.0712024I
b = 0.044636 + 0.173884I
0.32325 − 1.95043I 0
u = −0.83449 − 2.98133I
a = 0.0370278 − 0.0712024I
b = 0.044636 − 0.173884I
0.32325 + 1.95043I 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
27
− 3u
26
+ ··· + 28u − 1)(u
139
− 8u
138
+ ··· + 16402u − 877)
c
2
(u
27
− 6u
25
+ ··· + 3u + 1)(u
139
+ u
138
+ ··· − 2696u + 400)
c
3
(u
27
− 8u
24
+ ··· + u − 1)(u
139
+ u
138
+ ··· + 8317u − 739)
c
4
(u
27
+ 3u
26
+ ··· + 28u + 1)(u
139
− 8u
138
+ ··· + 16402u − 877)
c
5
(u
27
+ 2u
26
+ ··· + 2u − 1)(u
139
− 7u
138
+ ··· + 11682u + 1231)
c
6
(u
27
+ 4u
26
+ ··· + 2u − 4)(u
139
− 5u
138
+ ··· + 3449844u + 1329092)
c
7
(u
27
− 6u
25
+ ··· + 3u − 1)(u
139
+ u
138
+ ··· − 2696u + 400)
c
8
(u
27
+ 5u
26
+ ··· + 65u − 25)(u
139
− 53u
137
+ ··· + 347585u + 14407)
c
9
(u
27
− 2u
26
+ ··· + 2u + 1)(u
139
− 7u
138
+ ··· + 11682u + 1231)
c
10
(u
27
+ 8u
26
+ ··· − 4u − 1)(u
139
+ u
138
+ ··· − 2613392u + 228149)
c
11
(u
27
− 5u
26
+ ··· + 65u + 25)(u
139
− 53u
137
+ ··· + 347585u + 14407)
c
12
(u
27
+ u
26
+ ··· − 6u − 1)(u
139
+ 2u
138
+ ··· − 1050507u − 108932)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
27
+ 19y
26
+ ··· + 546y −1)
· (y
139
+ 92y
138
+ ··· − 1895482y −769129)
c
2
, c
7
(y
27
− 12y
26
+ ··· + 23y −1)
· (y
139
− 75y
138
+ ··· + 7284416y −160000)
c
3
(y
27
+ 20y
25
+ ··· − 31y −1)
· (y
139
− 7y
138
+ ··· + 158245637y −546121)
c
5
, c
9
(y
27
+ 34y
26
+ ··· − 30y −1)
· (y
139
+ 111y
138
+ ··· − 54973534y −1515361)
c
6
(y
27
+ 8y
26
+ ··· + 252y −16)
· (y
139
+ 33y
138
+ ··· − 63550645426176y −1766485544464)
c
8
, c
11
(y
27
− 23y
26
+ ··· + 5025y −625)
· (y
139
− 106y
138
+ ··· + 5626584101y −207561649)
c
10
(y
27
− 18y
26
+ ··· + 14y −1)
· (y
139
− 61y
138
+ ··· + 6848256291546y −52051966201)
c
12
(y
27
− 7y
26
+ ··· − 38y −1)
· (y
139
− 34y
138
+ ··· + 547581039921y −11866180624)
28
