12a
1049
(K12a
1049
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 11 3 12 2 1 5 8 6
Solving Sequence
7,12 3,8
2 9 4 6 1 11 5 10
c
7
c
2
c
8
c
3
c
6
c
12
c
11
c
5
c
10
c
1
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h3.93920 × 10
654
u
144
− 5.11511 × 10
654
u
143
+ ··· + 4.99948 × 10
655
b − 1.30043 × 10
657
,
6.67458 × 10
656
u
144
− 2.62279 × 10
657
u
143
+ ··· + 2.63273 × 10
659
a − 2.78924 × 10
661
,
u
145
− u
144
+ ··· − 16062u + 2633i
I
u
2
= h−362172324953570u
37
− 2982250257830u
36
+ ··· + 72532752090989b − 1020843727622321,
1.47266 × 10
18
u
37
− 5.12596 × 10
17
u
36
+ ··· + 1.04955 × 10
17
a + 1.03174 × 10
19
, u
38
− 2u
37
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 183 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
= h3.94 × 10
654
u
144
− 5.12 × 10
654
u
143
+ · · · + 5.00 × 10
655
b − 1.30 ×
10
657
, 6.67 × 10
656
u
144
− 2.62 × 10
657
u
143
+ · · · + 2.63 × 10
659
a − 2.79 ×
10
661
, u
145
− u
144
+ · · · − 16062u + 2633i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−0.00253523u
144
+ 0.00996226u
143
+ ··· − 687.422u + 105.945
−0.0787922u
144
+ 0.102313u
143
+ ··· − 394.382u + 26.0113
a
8
=
1
−u
2
a
2
=
−0.0813275u
144
+ 0.112275u
143
+ ··· − 1081.80u + 131.956
−0.0787922u
144
+ 0.102313u
143
+ ··· − 394.382u + 26.0113
a
9
=
−0.0156513u
144
+ 0.00321289u
143
+ ··· − 1.16336u + 27.2456
−0.0333935u
144
+ 0.0238342u
143
+ ··· + 458.330u − 85.3090
a
4
=
−0.0917059u
144
+ 0.0792602u
143
+ ··· − 1383.07u + 97.5660
−0.0653164u
144
+ 0.120138u
143
+ ··· − 420.405u + 53.7737
a
6
=
0.00702213u
144
− 0.0568846u
143
+ ··· − 131.329u + 23.4287
−0.0346254u
144
− 0.0368177u
143
+ ··· + 1417.40u − 234.089
a
1
=
−0.0542114u
144
+ 0.0364899u
143
+ ··· + 666.046u − 67.6965
−0.0683835u
144
+ 0.168362u
143
+ ··· − 1380.22u + 183.560
a
11
=
−u
u
3
+ u
a
5
=
−0.0269487u
144
− 0.0728494u
143
+ ··· + 881.150u − 149.718
−0.0476591u
144
+ 0.00887131u
143
+ ··· + 1117.54u − 192.423
a
10
=
−0.0356556u
144
− 0.00733218u
143
+ ··· + 1458.74u − 297.707
−0.0774097u
144
+ 0.0610850u
143
+ ··· + 1344.70u − 235.204
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.436067u
144
+ 0.275264u
143
+ ··· + 7010.50u − 1340.34
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
145
− 11u
144
+ ··· − 734954u + 73421
c
2
, c
6
u
145
− u
144
+ ··· − 3830u − 803
c
3
u
145
+ u
144
+ ··· − 192u − 16
c
4
, c
5
, c
10
u
145
− u
144
+ ··· − 58u − 3
c
7
, c
11
u
145
+ u
144
+ ··· − 16062u − 2633
c
8
u
145
− u
144
+ ··· − 38691220u − 1160044
c
9
u
145
− 5u
144
+ ··· − 62879u + 16999
c
12
u
145
+ u
144
+ ··· + 151613u − 160147
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
145
+ 47y
144
+ ··· − 203428626426y −5390643241
c
2
, c
6
y
145
+ 79y
144
+ ··· − 29939356y −644809
c
3
y
145
− 13y
144
+ ··· + 15136y −256
c
4
, c
5
, c
10
y
145
− 153y
144
+ ··· − 50y −9
c
7
, c
11
y
145
+ 69y
144
+ ··· − 222903276y −6932689
c
8
y
145
+ 25y
144
+ ··· + 139705969316016y −1345702081936
c
9
y
145
− 41y
144
+ ··· + 9501766269y −288966001
c
12
y
145
− 21y
144
+ ··· − 603561410741y −25647061609
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.345803 + 0.954006I
a = 0.405855 − 0.158222I
b = 1.199700 − 0.554323I
−2.42257 − 2.18881I 0
u = −0.345803 − 0.954006I
a = 0.405855 + 0.158222I
b = 1.199700 + 0.554323I
−2.42257 + 2.18881I 0
u = −0.328025 + 0.927715I
a = −2.69856 + 0.12274I
b = −0.268401 − 1.175380I
9.26433 − 6.68590I 0
u = −0.328025 − 0.927715I
a = −2.69856 − 0.12274I
b = −0.268401 + 1.175380I
9.26433 + 6.68590I 0
u = 0.324152 + 0.977516I
a = 0.192792 + 0.548668I
b = 1.126410 + 0.338613I
−3.59244 + 1.03408I 0
u = 0.324152 − 0.977516I
a = 0.192792 − 0.548668I
b = 1.126410 − 0.338613I
−3.59244 − 1.03408I 0
u = −0.588801 + 0.763843I
a = 1.68959 − 1.03593I
b = 0.380153 + 1.264270I
11.25430 + 3.12129I 0
u = −0.588801 − 0.763843I
a = 1.68959 + 1.03593I
b = 0.380153 − 1.264270I
11.25430 − 3.12129I 0
u = −0.557369 + 0.883050I
a = −0.391018 + 1.270450I
b = 0.22442 − 1.53873I
10.89490 − 7.65848I 0
u = −0.557369 − 0.883050I
a = −0.391018 − 1.270450I
b = 0.22442 + 1.53873I
10.89490 + 7.65848I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.734129 + 0.604314I
a = 0.203457 − 0.892143I
b = −0.372220 + 1.070590I
2.05754 − 0.26115I 0
u = −0.734129 − 0.604314I
a = 0.203457 + 0.892143I
b = −0.372220 − 1.070590I
2.05754 + 0.26115I 0
u = −0.556442 + 0.895770I
a = −1.06457 + 1.12076I
b = −0.757358 − 1.022820I
1.26728 − 4.74488I 0
u = −0.556442 − 0.895770I
a = −1.06457 − 1.12076I
b = −0.757358 + 1.022820I
1.26728 + 4.74488I 0
u = 0.340241 + 1.002790I
a = −0.399127 + 0.016272I
b = 0.742111 + 0.658754I
−2.25285 − 0.78087I 0
u = 0.340241 − 1.002790I
a = −0.399127 − 0.016272I
b = 0.742111 − 0.658754I
−2.25285 + 0.78087I 0
u = −0.888985 + 0.297233I
a = −0.176531 − 1.010800I
b = 0.846576 + 0.135584I
7.00493 + 7.38643I 0
u = −0.888985 − 0.297233I
a = −0.176531 + 1.010800I
b = 0.846576 − 0.135584I
7.00493 − 7.38643I 0
u = −0.284744 + 0.878018I
a = 0.019213 + 0.567381I
b = −1.15865 + 0.85075I
0.61703 + 2.26391I 0
u = −0.284744 − 0.878018I
a = 0.019213 − 0.567381I
b = −1.15865 − 0.85075I
0.61703 − 2.26391I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.604047 + 0.901518I
a = 0.67281 + 1.57252I
b = 0.600521 − 0.752227I
−2.00786 + 4.37308I 0
u = 0.604047 − 0.901518I
a = 0.67281 − 1.57252I
b = 0.600521 + 0.752227I
−2.00786 − 4.37308I 0
u = −0.261266 + 0.871926I
a = 0.501018 − 0.072340I
b = 1.210590 − 0.073871I
−1.94634 − 0.41173I 0
u = −0.261266 − 0.871926I
a = 0.501018 + 0.072340I
b = 1.210590 + 0.073871I
−1.94634 + 0.41173I 0
u = −0.350231 + 0.838408I
a = 0.33774 − 2.26170I
b = −0.19744 + 1.45081I
9.55110 + 3.78182I 0
u = −0.350231 − 0.838408I
a = 0.33774 + 2.26170I
b = −0.19744 − 1.45081I
9.55110 − 3.78182I 0
u = 0.867409 + 0.664015I
a = 1.33358 + 1.18745I
b = 0.511867 − 0.916704I
9.02544 + 4.66895I 0
u = 0.867409 − 0.664015I
a = 1.33358 − 1.18745I
b = 0.511867 + 0.916704I
9.02544 − 4.66895I 0
u = 0.440100 + 1.006090I
a = −1.224450 − 0.325949I
b = −0.750553 + 1.077560I
7.75099 + 3.57028I 0
u = 0.440100 − 1.006090I
a = −1.224450 + 0.325949I
b = −0.750553 − 1.077560I
7.75099 − 3.57028I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.505174 + 0.975773I
a = −1.062970 − 0.821190I
b = −0.440321 + 1.236690I
3.50637 + 0.15818I 0
u = 0.505174 − 0.975773I
a = −1.062970 + 0.821190I
b = −0.440321 − 1.236690I
3.50637 − 0.15818I 0
u = −0.816047 + 0.351664I
a = 0.62662 − 1.97885I
b = −0.441672 + 1.272420I
7.22642 + 4.50090I 0
u = −0.816047 − 0.351664I
a = 0.62662 + 1.97885I
b = −0.441672 − 1.272420I
7.22642 − 4.50090I 0
u = 0.172003 + 0.868140I
a = 1.41511 + 1.61234I
b = 0.512901 − 1.028200I
−1.65149 + 2.70585I 0
u = 0.172003 − 0.868140I
a = 1.41511 − 1.61234I
b = 0.512901 + 1.028200I
−1.65149 − 2.70585I 0
u = 0.520176 + 0.987540I
a = 1.87632 + 0.28971I
b = −0.013147 − 0.914276I
8.38341 + 2.22541I 0
u = 0.520176 − 0.987540I
a = 1.87632 − 0.28971I
b = −0.013147 + 0.914276I
8.38341 − 2.22541I 0
u = −0.613687 + 0.955832I
a = −1.11690 + 1.01099I
b = −0.105898 − 0.657996I
−0.20713 − 2.36351I 0
u = −0.613687 − 0.955832I
a = −1.11690 − 1.01099I
b = −0.105898 + 0.657996I
−0.20713 + 2.36351I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.097380 + 0.301946I
a = 0.332759 + 1.297620I
b = −0.471455 − 1.199170I
3.35249 − 8.83135I 0
u = 1.097380 − 0.301946I
a = 0.332759 − 1.297620I
b = −0.471455 + 1.199170I
3.35249 + 8.83135I 0
u = 0.878396 + 0.726590I
a = 0.395276 − 0.928259I
b = 0.279022 + 1.012780I
8.81024 + 1.64508I 0
u = 0.878396 − 0.726590I
a = 0.395276 + 0.928259I
b = 0.279022 − 1.012780I
8.81024 − 1.64508I 0
u = −0.792951 + 0.819837I
a = −0.26165 + 1.84386I
b = −0.752024 − 0.886463I
3.39079 − 5.74867I 0
u = −0.792951 − 0.819837I
a = −0.26165 − 1.84386I
b = −0.752024 + 0.886463I
3.39079 + 5.74867I 0
u = 0.850767 + 0.116954I
a = 0.617587 + 0.606455I
b = 0.136051 + 0.150315I
7.82911 + 1.59133I 0
u = 0.850767 − 0.116954I
a = 0.617587 − 0.606455I
b = 0.136051 − 0.150315I
7.82911 − 1.59133I 0
u = −0.345604 + 1.091530I
a = −1.26749 + 1.72713I
b = −0.378450 − 1.032900I
−2.33621 − 5.74083I 0
u = −0.345604 − 1.091530I
a = −1.26749 − 1.72713I
b = −0.378450 + 1.032900I
−2.33621 + 5.74083I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.058524 + 1.144490I
a = 0.158625 + 0.369848I
b = 0.588702 + 0.442272I
−3.31707 − 1.65297I 0
u = −0.058524 − 1.144490I
a = 0.158625 − 0.369848I
b = 0.588702 − 0.442272I
−3.31707 + 1.65297I 0
u = 0.514670 + 0.679083I
a = 0.55502 − 1.91482I
b = −0.062270 + 1.239280I
9.41329 + 2.00087I 0
u = 0.514670 − 0.679083I
a = 0.55502 + 1.91482I
b = −0.062270 − 1.239280I
9.41329 − 2.00087I 0
u = −1.104570 + 0.365918I
a = −0.386339 + 1.298760I
b = 0.107291 − 1.129670I
4.88864 − 0.23143I 0
u = −1.104570 − 0.365918I
a = −0.386339 − 1.298760I
b = 0.107291 + 1.129670I
4.88864 + 0.23143I 0
u = −0.823066 + 0.076417I
a = −0.466418 + 1.242360I
b = 0.364043 − 1.223700I
3.18766 + 4.05776I 0
u = −0.823066 − 0.076417I
a = −0.466418 − 1.242360I
b = 0.364043 + 1.223700I
3.18766 − 4.05776I 0
u = 0.388068 + 1.107490I
a = −0.71969 − 1.40256I
b = −0.392541 + 0.823385I
−3.11646 − 1.04761I 0
u = 0.388068 − 1.107490I
a = −0.71969 + 1.40256I
b = −0.392541 − 0.823385I
−3.11646 + 1.04761I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.103494 + 1.176310I
a = −0.027478 − 0.268860I
b = −0.668246 + 0.907658I
1.94861 + 1.75934I 0
u = −0.103494 − 1.176310I
a = −0.027478 + 0.268860I
b = −0.668246 − 0.907658I
1.94861 − 1.75934I 0
u = −0.385175 + 1.120460I
a = −0.267590 + 0.748356I
b = −1.034940 − 0.199358I
0.03735 − 3.82786I 0
u = −0.385175 − 1.120460I
a = −0.267590 − 0.748356I
b = −1.034940 + 0.199358I
0.03735 + 3.82786I 0
u = −0.621640 + 1.016660I
a = 0.662878 − 0.166057I
b = −0.913543 + 0.603537I
2.56176 + 0.24638I 0
u = −0.621640 − 1.016660I
a = 0.662878 + 0.166057I
b = −0.913543 − 0.603537I
2.56176 − 0.24638I 0
u = 0.495869 + 1.084730I
a = −0.127005 − 0.065732I
b = −0.957253 + 0.085270I
4.87201 + 5.66450I 0
u = 0.495869 − 1.084730I
a = −0.127005 + 0.065732I
b = −0.957253 − 0.085270I
4.87201 − 5.66450I 0
u = 0.693662 + 0.407460I
a = −0.71838 − 1.41457I
b = 0.408383 + 1.171800I
1.48479 − 2.67185I 0
u = 0.693662 − 0.407460I
a = −0.71838 + 1.41457I
b = 0.408383 − 1.171800I
1.48479 + 2.67185I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.230026 + 0.767257I
a = −0.970699 + 0.672864I
b = −1.024820 − 0.662801I
0.79432 − 4.66034I 0
u = −0.230026 − 0.767257I
a = −0.970699 − 0.672864I
b = −1.024820 + 0.662801I
0.79432 + 4.66034I 0
u = 0.478404 + 1.100890I
a = −0.110896 − 0.242408I
b = −1.168450 − 0.365893I
−2.53806 + 8.45885I 0
u = 0.478404 − 1.100890I
a = −0.110896 + 0.242408I
b = −1.168450 + 0.365893I
−2.53806 − 8.45885I 0
u = −0.393115 + 1.134770I
a = −0.451919 + 0.056708I
b = −0.662117 + 0.337658I
−1.49516 − 2.91040I 0
u = −0.393115 − 1.134770I
a = −0.451919 − 0.056708I
b = −0.662117 − 0.337658I
−1.49516 + 2.91040I 0
u = 0.392411 + 1.142680I
a = 1.48660 + 0.54049I
b = 0.394496 − 1.133540I
1.80870 + 6.32768I 0
u = 0.392411 − 1.142680I
a = 1.48660 − 0.54049I
b = 0.394496 + 1.133540I
1.80870 − 6.32768I 0
u = −0.705793 + 0.990562I
a = 0.28312 − 1.65201I
b = 0.304649 + 0.976604I
−0.23839 − 3.04514I 0
u = −0.705793 − 0.990562I
a = 0.28312 + 1.65201I
b = 0.304649 − 0.976604I
−0.23839 + 3.04514I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.555300 + 1.087380I
a = 1.06919 + 1.35907I
b = 0.67238 − 1.28571I
−0.52019 + 7.48497I 0
u = 0.555300 − 1.087380I
a = 1.06919 − 1.35907I
b = 0.67238 + 1.28571I
−0.52019 − 7.48497I 0
u = 0.385611 + 0.675496I
a = −0.165168 + 0.873153I
b = −0.50627 − 1.42083I
8.91007 − 0.02541I 0
u = 0.385611 − 0.675496I
a = −0.165168 − 0.873153I
b = −0.50627 + 1.42083I
8.91007 + 0.02541I 0
u = 0.469606 + 0.565157I
a = 0.529296 + 1.185220I
b = −0.04133 − 1.46739I
4.76124 + 3.98622I 0
u = 0.469606 − 0.565157I
a = 0.529296 − 1.185220I
b = −0.04133 + 1.46739I
4.76124 − 3.98622I 0
u = −0.036072 + 0.729429I
a = 2.82162 − 0.62144I
b = 0.115132 + 0.590894I
−0.48013 + 3.62987I 0
u = −0.036072 − 0.729429I
a = 2.82162 + 0.62144I
b = 0.115132 − 0.590894I
−0.48013 − 3.62987I 0
u = −0.591497 + 1.129730I
a = −1.14298 + 1.62756I
b = −0.57681 − 1.41821I
4.92365 − 9.73455I 0
u = −0.591497 − 1.129730I
a = −1.14298 − 1.62756I
b = −0.57681 + 1.41821I
4.92365 + 9.73455I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.202830 + 0.456594I
a = −0.301957 + 1.347280I
b = 0.526033 − 1.214390I
10.2118 + 12.4061I 0
u = −1.202830 − 0.456594I
a = −0.301957 − 1.347280I
b = 0.526033 + 1.214390I
10.2118 − 12.4061I 0
u = 0.439555 + 1.213620I
a = 1.34068 + 1.84618I
b = 0.305634 − 1.064010I
4.05655 + 8.00567I 0
u = 0.439555 − 1.213620I
a = 1.34068 − 1.84618I
b = 0.305634 + 1.064010I
4.05655 − 8.00567I 0
u = −0.708359
a = 0.928437
b = −0.819861
3.35565 0
u = −0.538987 + 1.194050I
a = 0.913305 − 0.910907I
b = 0.71204 + 1.24596I
0.03098 − 9.00112I 0
u = −0.538987 − 1.194050I
a = 0.913305 + 0.910907I
b = 0.71204 − 1.24596I
0.03098 + 9.00112I 0
u = −0.601955 + 1.165980I
a = −0.044068 − 0.317938I
b = 1.154840 − 0.281181I
4.42380 − 12.82880I 0
u = −0.601955 − 1.165980I
a = −0.044068 + 0.317938I
b = 1.154840 + 0.281181I
4.42380 + 12.82880I 0
u = −0.169508 + 1.304990I
a = −0.156883 + 0.369284I
b = −0.346648 + 0.528750I
−3.90414 − 2.47493I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.169508 − 1.304990I
a = −0.156883 − 0.369284I
b = −0.346648 − 0.528750I
−3.90414 + 2.47493I 0
u = −1.289440 + 0.280109I
a = −0.062415 − 1.325730I
b = −0.266590 + 0.977527I
4.18624 + 0.94522I 0
u = −1.289440 − 0.280109I
a = −0.062415 + 1.325730I
b = −0.266590 − 0.977527I
4.18624 − 0.94522I 0
u = −0.643415 + 1.171640I
a = 0.707992 − 1.121450I
b = 0.460605 + 1.275380I
2.32392 − 5.81231I 0
u = −0.643415 − 1.171640I
a = 0.707992 + 1.121450I
b = 0.460605 − 1.275380I
2.32392 + 5.81231I 0
u = −0.091486 + 1.381420I
a = 0.513358 − 0.822625I
b = 0.600974 + 0.683418I
1.23433 + 3.68448I 0
u = −0.091486 − 1.381420I
a = 0.513358 + 0.822625I
b = 0.600974 − 0.683418I
1.23433 − 3.68448I 0
u = 1.391550 + 0.047334I
a = 0.161483 − 1.138750I
b = 0.111054 + 0.710115I
8.33476 − 1.74074I 0
u = 1.391550 − 0.047334I
a = 0.161483 + 1.138750I
b = 0.111054 − 0.710115I
8.33476 + 1.74074I 0
u = 0.625069 + 1.245760I
a = 0.1407580 + 0.0100075I
b = 0.750814 + 0.328497I
4.47210 + 3.99067I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.625069 − 1.245760I
a = 0.1407580 − 0.0100075I
b = 0.750814 − 0.328497I
4.47210 − 3.99067I 0
u = 0.222261 + 0.561021I
a = −2.20669 − 0.58949I
b = −0.629023 − 0.819056I
7.05607 − 2.06302I 4.89158 + 2.47548I
u = 0.222261 − 0.561021I
a = −2.20669 + 0.58949I
b = −0.629023 + 0.819056I
7.05607 + 2.06302I 4.89158 − 2.47548I
u = 1.215480 + 0.699480I
a = 0.467435 + 1.232210I
b = −0.296032 − 1.110470I
10.74500 − 3.42747I 0
u = 1.215480 − 0.699480I
a = 0.467435 − 1.232210I
b = −0.296032 + 1.110470I
10.74500 + 3.42747I 0
u = 0.647896 + 1.246130I
a = −0.90290 − 1.18174I
b = −0.68168 + 1.27194I
0.3866 + 15.0092I 0
u = 0.647896 − 1.246130I
a = −0.90290 + 1.18174I
b = −0.68168 − 1.27194I
0.3866 − 15.0092I 0
u = 0.33818 + 1.39086I
a = 0.269297 + 0.393801I
b = 0.270102 + 0.633118I
2.54991 + 5.38075I 0
u = 0.33818 − 1.39086I
a = 0.269297 − 0.393801I
b = 0.270102 − 0.633118I
2.54991 − 5.38075I 0
u = 0.80176 + 1.18603I
a = −0.65389 − 1.37682I
b = −0.476159 + 1.274310I
8.95941 + 10.59710I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.80176 − 1.18603I
a = −0.65389 + 1.37682I
b = −0.476159 − 1.274310I
8.95941 − 10.59710I 0
u = 0.092808 + 0.553424I
a = −5.71826 − 1.96761I
b = −0.024806 + 0.712561I
7.07374 − 5.24790I 5.63019 − 3.54213I
u = 0.092808 − 0.553424I
a = −5.71826 + 1.96761I
b = −0.024806 − 0.712561I
7.07374 + 5.24790I 5.63019 + 3.54213I
u = 0.212048 + 0.506310I
a = −0.31682 − 2.46535I
b = 0.188620 + 1.374690I
4.12511 − 3.28456I 16.4715 − 6.7726I
u = 0.212048 − 0.506310I
a = −0.31682 + 2.46535I
b = 0.188620 − 1.374690I
4.12511 + 3.28456I 16.4715 + 6.7726I
u = −0.65741 + 1.29533I
a = −0.95566 + 1.06162I
b = −0.535496 − 1.111750I
0.76477 − 7.58284I 0
u = −0.65741 − 1.29533I
a = −0.95566 − 1.06162I
b = −0.535496 + 1.111750I
0.76477 + 7.58284I 0
u = 0.523584 + 0.152822I
a = −0.18200 − 1.59445I
b = −0.727053 − 0.007259I
−0.03447 − 4.40157I 3.14700 + 5.85331I
u = 0.523584 − 0.152822I
a = −0.18200 + 1.59445I
b = −0.727053 + 0.007259I
−0.03447 + 4.40157I 3.14700 − 5.85331I
u = −0.73675 + 1.25432I
a = 0.92669 − 1.36132I
b = 0.66085 + 1.29215I
7.6185 − 19.2555I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.73675 − 1.25432I
a = 0.92669 + 1.36132I
b = 0.66085 − 1.29215I
7.6185 + 19.2555I 0
u = −0.480237 + 0.234582I
a = −0.375118 − 0.018821I
b = −0.295874 + 0.287064I
1.021370 − 0.466038I 8.14171 + 1.88483I
u = −0.480237 − 0.234582I
a = −0.375118 + 0.018821I
b = −0.295874 − 0.287064I
1.021370 + 0.466038I 8.14171 − 1.88483I
u = −0.43867 + 1.41165I
a = −0.450257 + 0.204236I
b = 0.168962 − 0.809336I
−1.099940 − 0.850315I 0
u = −0.43867 − 1.41165I
a = −0.450257 − 0.204236I
b = 0.168962 + 0.809336I
−1.099940 + 0.850315I 0
u = 0.11903 + 1.49702I
a = −0.026180 + 0.143171I
b = −0.305262 − 0.805600I
−3.31162 − 4.19271I 0
u = 0.11903 − 1.49702I
a = −0.026180 − 0.143171I
b = −0.305262 + 0.805600I
−3.31162 + 4.19271I 0
u = 1.43342 + 0.46967I
a = −0.029346 − 1.364290I
b = 0.386152 + 1.009200I
9.80632 − 0.98006I 0
u = 1.43342 − 0.46967I
a = −0.029346 + 1.364290I
b = 0.386152 − 1.009200I
9.80632 + 0.98006I 0
u = 0.12757 + 1.56326I
a = 0.323689 + 0.383358I
b = 0.460855 − 0.875376I
1.78418 + 7.91629I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.12757 − 1.56326I
a = 0.323689 − 0.383358I
b = 0.460855 + 0.875376I
1.78418 − 7.91629I 0
u = 0.83963 + 1.36765I
a = 0.83266 + 1.24337I
b = 0.553484 − 1.117410I
6.78833 + 8.90117I 0
u = 0.83963 − 1.36765I
a = 0.83266 − 1.24337I
b = 0.553484 + 1.117410I
6.78833 − 8.90117I 0
u = 0.218657 + 0.169963I
a = −1.77650 − 0.96773I
b = 0.574300 + 0.265634I
−1.17962 − 0.99556I −2.00169 + 1.52521I
u = 0.218657 − 0.169963I
a = −1.77650 + 0.96773I
b = 0.574300 − 0.265634I
−1.17962 + 0.99556I −2.00169 − 1.52521I
19
II.
I
u
2
= h−3.62×10
14
u
37
−2.98×10
12
u
36
+· · ·+7.25×10
13
b−1.02×10
15
, 1.47×
10
18
u
37
−5.13×10
17
u
36
+· · ·+1.05×10
17
a+1.03×10
19
, u
38
−2u
37
+· · ·−2u+1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−14.0313u
37
+ 4.88397u
36
+ ··· + 146.753u − 98.3034
4.99322u
37
+ 0.0411159u
36
+ ··· − 19.0974u + 14.0742
a
8
=
1
−u
2
a
2
=
−9.03812u
37
+ 4.92508u
36
+ ··· + 127.656u − 84.2292
4.99322u
37
+ 0.0411159u
36
+ ··· − 19.0974u + 14.0742
a
9
=
−75.6584u
37
+ 152.041u
36
+ ··· − 218.571u − 32.1504
19.8361u
37
− 48.6777u
36
+ ··· + 72.7011u − 11.7856
a
4
=
−20.5906u
37
+ 23.6730u
36
+ ··· − 102.447u − 20.7979
−15.9100u
37
+ 15.6491u
36
+ ··· + 97.5284u − 64.4548
a
6
=
37.0556u
37
− 79.9036u
36
+ ··· + 176.543u − 1.83582
−11.9502u
37
+ 26.6200u
36
+ ··· − 41.4503u + 8.71292
a
1
=
−66.0396u
37
+ 168.125u
36
+ ··· − 649.821u + 176.744
−14.3942u
37
− 4.49476u
36
+ ··· + 166.779u − 101.848
a
11
=
−u
u
3
+ u
a
5
=
38.4744u
37
− 83.0531u
36
+ ··· + 181.446u + 3.36074
−10.5323u
37
+ 24.2087u
36
+ ··· − 44.3115u + 3.20447
a
10
=
77.5254u
37
− 157.111u
36
+ ··· + 400.913u − 46.7830
−22.5221u
37
+ 43.4874u
36
+ ··· − 120.877u + 30.7000
(ii) Obstruction class = 1
(iii) Cusp Shapes =
21354481039747811937
104954892275661083
u
37
−
34594268770816226803
104954892275661083
u
36
+ ··· +
46578911406556738133
104954892275661083
u +
17039115265124385250
104954892275661083
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
38
− 2u
37
+ ··· − 2u + 1
c
2
u
38
+ 2u
37
+ ··· + 15u
2
+ 1
c
3
u
38
− 4u
36
+ ··· − 5u
2
+ 1
c
4
, c
5
u
38
− 22u
36
+ ··· + 14u
2
+ 1
c
6
u
38
− 2u
37
+ ··· + 15u
2
+ 1
c
7
u
38
− 2u
37
+ ··· − 2u + 1
c
8
u
38
− 3u
36
+ ··· + 128u + 16
c
9
u
38
− 2u
37
+ ··· − 5u + 1
c
10
u
38
− 22u
36
+ ··· + 14u
2
+ 1
c
11
u
38
+ 2u
37
+ ··· + 2u + 1
c
12
u
38
− 6u
36
+ ··· + 65u + 11
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
+ 16y
37
+ ··· + 20y + 1
c
2
, c
6
y
38
+ 20y
37
+ ··· + 30y + 1
c
3
y
38
− 8y
37
+ ··· − 10y + 1
c
4
, c
5
, c
10
y
38
− 44y
37
+ ··· + 28y + 1
c
7
, c
11
y
38
+ 18y
37
+ ··· + 34y + 1
c
8
y
38
− 6y
37
+ ··· − 5248y + 256
c
9
y
38
− 20y
37
+ ··· − 3y + 1
c
12
y
38
− 12y
37
+ ··· + 131y + 121
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.251710 + 0.968066I
a = −0.1091620 − 0.0829685I
b = −0.985028 + 0.113525I
−2.49070 − 0.50449I −3.05265 + 0.I
u = −0.251710 − 0.968066I
a = −0.1091620 + 0.0829685I
b = −0.985028 − 0.113525I
−2.49070 + 0.50449I −3.05265 + 0.I
u = −0.264840 + 0.956477I
a = −0.674966 + 0.117048I
b = −1.002830 + 0.384407I
−2.48107 − 1.54144I 0.230710 + 0.332807I
u = −0.264840 − 0.956477I
a = −0.674966 − 0.117048I
b = −1.002830 − 0.384407I
−2.48107 + 1.54144I 0.230710 − 0.332807I
u = 0.291000 + 0.994034I
a = 0.788541 + 0.906950I
b = 1.052900 − 0.628207I
0.06254 + 4.79344I −3.97576 − 8.81691I
u = 0.291000 − 0.994034I
a = 0.788541 − 0.906950I
b = 1.052900 + 0.628207I
0.06254 − 4.79344I −3.97576 + 8.81691I
u = 0.449105 + 0.969833I
a = 1.384600 + 0.132662I
b = 0.640854 − 0.903252I
7.07918 + 4.17978I 3.56943 − 7.75680I
u = 0.449105 − 0.969833I
a = 1.384600 − 0.132662I
b = 0.640854 + 0.903252I
7.07918 − 4.17978I 3.56943 + 7.75680I
u = 0.252638 + 0.887369I
a = −0.237235 + 0.537879I
b = 1.14592 + 0.89964I
0.51310 − 2.55360I −5.02504 + 13.13041I
u = 0.252638 − 0.887369I
a = −0.237235 − 0.537879I
b = 1.14592 − 0.89964I
0.51310 + 2.55360I −5.02504 − 13.13041I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.713969 + 0.913534I
a = −0.45324 + 1.73043I
b = −0.418446 − 0.997981I
−0.23335 − 4.30653I 4.45669 + 7.21846I
u = −0.713969 − 0.913534I
a = −0.45324 − 1.73043I
b = −0.418446 + 0.997981I
−0.23335 + 4.30653I 4.45669 − 7.21846I
u = 0.307150 + 0.758895I
a = 2.23585 + 1.39503I
b = 0.376831 − 0.642907I
−0.52136 + 4.46488I 3.26137 − 10.38600I
u = 0.307150 − 0.758895I
a = 2.23585 − 1.39503I
b = 0.376831 + 0.642907I
−0.52136 − 4.46488I 3.26137 + 10.38600I
u = 1.194830 + 0.276785I
a = −0.10962 − 1.80449I
b = 0.247788 + 0.956411I
9.27602 − 2.53187I 10.47108 + 3.96768I
u = 1.194830 − 0.276785I
a = −0.10962 + 1.80449I
b = 0.247788 − 0.956411I
9.27602 + 2.53187I 10.47108 − 3.96768I
u = 1.218440 + 0.199413I
a = 0.094917 − 0.851063I
b = 0.245365 + 0.960509I
9.28884 + 0.54780I 11.28014 + 0.I
u = 1.218440 − 0.199413I
a = 0.094917 + 0.851063I
b = 0.245365 − 0.960509I
9.28884 − 0.54780I 11.28014 + 0.I
u = −0.554637 + 1.186440I
a = −1.05151 + 1.04300I
b = −0.544143 − 1.184310I
0.42557 − 6.84914I 0
u = −0.554637 − 1.186440I
a = −1.05151 − 1.04300I
b = −0.544143 + 1.184310I
0.42557 + 6.84914I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.034889 + 1.325930I
a = −0.531723 − 0.093528I
b = −0.028539 + 0.455443I
−3.38492 − 3.07672I 0
u = −0.034889 − 1.325930I
a = −0.531723 + 0.093528I
b = −0.028539 − 0.455443I
−3.38492 + 3.07672I 0
u = −1.307500 + 0.231145I
a = −0.000551 − 1.291600I
b = −0.240443 + 0.958114I
3.96523 + 0.97239I 0
u = −1.307500 − 0.231145I
a = −0.000551 + 1.291600I
b = −0.240443 − 0.958114I
3.96523 − 0.97239I 0
u = 0.253650 + 0.620721I
a = 1.06676 − 1.08548I
b = 0.428435 + 1.302540I
8.60757 − 0.51017I 5.00152 + 3.82724I
u = 0.253650 − 0.620721I
a = 1.06676 + 1.08548I
b = 0.428435 − 1.302540I
8.60757 + 0.51017I 5.00152 − 3.82724I
u = −0.483136 + 1.281960I
a = 0.510258 − 0.374680I
b = −0.270749 + 0.650315I
−1.61717 − 0.93629I 0
u = −0.483136 − 1.281960I
a = 0.510258 + 0.374680I
b = −0.270749 − 0.650315I
−1.61717 + 0.93629I 0
u = −0.199456 + 0.593308I
a = −5.23049 + 1.34315I
b = −0.175252 − 0.686120I
7.01094 − 5.71416I 3.26382 + 12.73766I
u = −0.199456 − 0.593308I
a = −5.23049 − 1.34315I
b = −0.175252 + 0.686120I
7.01094 + 5.71416I 3.26382 − 12.73766I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.609900 + 1.268000I
a = 1.08315 + 1.39670I
b = 0.468571 − 1.221280I
5.55552 + 8.69998I 0
u = 0.609900 − 1.268000I
a = 1.08315 − 1.39670I
b = 0.468571 + 1.221280I
5.55552 − 8.69998I 0
u = 0.28240 + 1.41809I
a = 0.611465 + 0.177019I
b = 0.153759 + 0.581674I
2.64872 + 5.82927I 0
u = 0.28240 − 1.41809I
a = 0.611465 − 0.177019I
b = 0.153759 − 0.581674I
2.64872 − 5.82927I 0
u = −0.090979 + 0.535107I
a = 0.82379 − 1.95731I
b = −0.14834 + 1.41184I
3.90841 + 3.45716I −6.41354 − 10.49578I
u = −0.090979 − 0.535107I
a = 0.82379 + 1.95731I
b = −0.14834 − 1.41184I
3.90841 − 3.45716I −6.41354 + 10.49578I
u = 0.042001 + 0.466620I
a = −3.20084 − 2.47635I
b = 0.053344 + 1.337490I
9.95964 − 5.11739I 8.77088 + 5.50998I
u = 0.042001 − 0.466620I
a = −3.20084 + 2.47635I
b = 0.053344 − 1.337490I
9.95964 + 5.11739I 8.77088 − 5.50998I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 2u
37
+ ··· − 2u + 1)(u
145
− 11u
144
+ ··· − 734954u + 73421)
c
2
(u
38
+ 2u
37
+ ··· + 15u
2
+ 1)(u
145
− u
144
+ ··· − 3830u − 803)
c
3
(u
38
− 4u
36
+ ··· − 5u
2
+ 1)(u
145
+ u
144
+ ··· − 192u − 16)
c
4
, c
5
(u
38
− 22u
36
+ ··· + 14u
2
+ 1)(u
145
− u
144
+ ··· − 58u − 3)
c
6
(u
38
− 2u
37
+ ··· + 15u
2
+ 1)(u
145
− u
144
+ ··· − 3830u − 803)
c
7
(u
38
− 2u
37
+ ··· − 2u + 1)(u
145
+ u
144
+ ··· − 16062u − 2633)
c
8
(u
38
− 3u
36
+ ··· + 128u + 16)
· (u
145
− u
144
+ ··· − 38691220u − 1160044)
c
9
(u
38
− 2u
37
+ ··· − 5u + 1)(u
145
− 5u
144
+ ··· − 62879u + 16999)
c
10
(u
38
− 22u
36
+ ··· + 14u
2
+ 1)(u
145
− u
144
+ ··· − 58u − 3)
c
11
(u
38
+ 2u
37
+ ··· + 2u + 1)(u
145
+ u
144
+ ··· − 16062u − 2633)
c
12
(u
38
− 6u
36
+ ··· + 65u + 11)(u
145
+ u
144
+ ··· + 151613u − 160147)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
38
+ 16y
37
+ ··· + 20y + 1)
· (y
145
+ 47y
144
+ ··· − 203428626426y −5390643241)
c
2
, c
6
(y
38
+ 20y
37
+ ··· + 30y + 1)
· (y
145
+ 79y
144
+ ··· − 29939356y −644809)
c
3
(y
38
− 8y
37
+ ··· − 10y + 1)(y
145
− 13y
144
+ ··· + 15136y −256)
c
4
, c
5
, c
10
(y
38
− 44y
37
+ ··· + 28y + 1)(y
145
− 153y
144
+ ··· − 50y −9)
c
7
, c
11
(y
38
+ 18y
37
+ ··· + 34y + 1)
· (y
145
+ 69y
144
+ ··· − 222903276y −6932689)
c
8
(y
38
− 6y
37
+ ··· − 5248y + 256)
· (y
145
+ 25y
144
+ ··· + 139705969316016y −1345702081936)
c
9
(y
38
− 20y
37
+ ··· − 3y + 1)
· (y
145
− 41y
144
+ ··· + 9501766269y −288966001)
c
12
(y
38
− 12y
37
+ ··· + 131y + 121)
· (y
145
− 21y
144
+ ··· − 603561410741y −25647061609)
28
