12a
0992
(K12a
0992
)
A knot diagram
1
Linearized knot diagam
4 6 11 1 9 10 2 12 3 7 5 8
Solving Sequence
6,10
7
3,11
4 2 1 9 5 12 8
c
6
c
10
c
3
c
2
c
1
c
9
c
5
c
11
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.71059 × 10
901
u
172
+ 5.27349 × 10
901
u
171
+ ··· + 5.37860 × 10
901
b − 2.15607 × 10
903
,
6.55390 × 10
902
u
172
− 1.60404 × 10
903
u
171
+ ··· + 1.23708 × 10
903
a + 7.01893 × 10
904
,
u
173
− 61u
171
+ ··· − 1173u + 23i
I
u
2
= h1.36185 × 10
44
u
40
− 3.58124 × 10
43
u
39
+ ··· + 3.88409 × 10
43
b − 1.89538 × 10
45
,
1.79661 × 10
43
u
40
+ 1.30822 × 10
43
u
39
+ ··· + 1.47328 × 10
43
a − 5.14471 × 10
44
, u
41
− u
40
+ ··· + 29u + 11i
* 2 irreducible components of dim
C
= 0, with total 214 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−6.71 × 10
901
u
172
+ 5.27 × 10
901
u
171
+ · · · + 5.38 × 10
901
b − 2.16 ×
10
903
, 6.55 × 10
902
u
172
− 1.60 × 10
903
u
171
+ · · · + 1.24 × 10
903
a + 7.02 ×
10
904
, u
173
− 61u
171
+ · · · − 1173u + 23i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
−u
2
a
3
=
−0.529789u
172
+ 1.29664u
171
+ ··· + 5321.00u − 56.7380
1.24764u
172
− 0.980457u
171
+ ··· − 2141.18u + 40.0861
a
11
=
u
−u
3
+ u
a
4
=
−1.65323u
172
+ 2.69220u
171
+ ··· + 8796.48u − 123.586
0.522388u
172
− 0.206474u
171
+ ··· − 328.539u + 5.33571
a
2
=
−1.77743u
172
+ 2.27709u
171
+ ··· + 7462.18u − 96.8241
1.24764u
172
− 0.980457u
171
+ ··· − 2141.18u + 40.0861
a
1
=
2.16146u
172
− 3.81691u
171
+ ··· − 6443.06u + 140.089
2.64020u
172
− 1.61551u
171
+ ··· − 2165.65u + 40.4623
a
9
=
−15.6581u
172
+ 13.4858u
171
+ ··· + 28371.1u − 494.743
−3.60652u
172
+ 2.74214u
171
+ ··· + 3813.14u − 73.3888
a
5
=
−7.26184u
172
+ 5.82108u
171
+ ··· + 13912.4u − 229.742
1.38948u
172
+ 0.0103074u
171
+ ··· + 99.1447u − 3.27255
a
12
=
8.70101u
172
− 4.55347u
171
+ ··· − 8538.66u + 129.068
1.79058u
172
− 1.55903u
171
+ ··· − 2586.99u + 49.6991
a
8
=
−10.6185u
172
+ 5.87960u
171
+ ··· + 13695.9u − 228.354
−3.31591u
172
+ 3.25383u
171
+ ··· + 6059.20u − 117.141
(ii) Obstruction class = −1
(iii) Cusp Shapes = −54.1766u
172
+ 34.3738u
171
+ ··· + 59564.6u − 1133.39
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
173
+ 10u
172
+ ··· − 19296u + 2479
c
2
u
173
− 11u
172
+ ··· + 81u + 1
c
3
u
173
+ 5u
171
+ ··· − 63604u + 4777
c
5
u
173
+ 5u
172
+ ··· − 146967068577u − 20660319509
c
6
, c
10
u
173
− 61u
171
+ ··· − 1173u − 23
c
7
u
173
+ u
172
+ ··· + 118309218u − 11032501
c
8
, c
12
u
173
− 5u
172
+ ··· + 16696u + 15296
c
9
u
173
+ u
172
+ ··· − 14u + 4
c
11
u
173
− 21u
171
+ ··· − 2568295u + 328021
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
173
+ 110y
172
+ ··· − 487431164y −6145441
c
2
y
173
+ 15y
172
+ ··· + 6111y −1
c
3
y
173
+ 10y
172
+ ··· − 4426368712y −22819729
c
5
y
173
− 101y
172
+ ··· + 2.92 × 10
22
y −4.27 × 10
20
c
6
, c
10
y
173
− 122y
172
+ ··· + 882901y −529
c
7
y
173
+ 43y
172
+ ··· + 128804976616151910y −121716078315001
c
8
, c
12
y
173
+ 105y
172
+ ··· − 8693357120y −233967616
c
9
y
173
− y
172
+ ··· − 964y −16
c
11
y
173
− 42y
172
+ ··· − 3575854983007y −107597776441
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.969243 + 0.220547I
a = −1.052810 + 0.930178I
b = 1.25731 + 0.70948I
1.62467 + 4.25995I 0
u = 0.969243 − 0.220547I
a = −1.052810 − 0.930178I
b = 1.25731 − 0.70948I
1.62467 − 4.25995I 0
u = −0.967361 + 0.222779I
a = 0.185385 + 0.167139I
b = 1.44819 + 2.43454I
−1.56945 − 10.43610I 0
u = −0.967361 − 0.222779I
a = 0.185385 − 0.167139I
b = 1.44819 − 2.43454I
−1.56945 + 10.43610I 0
u = −0.122560 + 1.003480I
a = −0.724326 − 1.006380I
b = −0.313088 − 0.910696I
−5.96418 − 1.53799I 0
u = −0.122560 − 1.003480I
a = −0.724326 + 1.006380I
b = −0.313088 + 0.910696I
−5.96418 + 1.53799I 0
u = 0.951040 + 0.268610I
a = −0.478403 + 1.023580I
b = 0.28013 + 1.77652I
−0.68234 + 5.89789I 0
u = 0.951040 − 0.268610I
a = −0.478403 − 1.023580I
b = 0.28013 − 1.77652I
−0.68234 − 5.89789I 0
u = −1.009900 + 0.132134I
a = 0.358996 − 1.240550I
b = −0.60699 − 1.28490I
3.59664 − 2.11116I 0
u = −1.009900 − 0.132134I
a = 0.358996 + 1.240550I
b = −0.60699 + 1.28490I
3.59664 + 2.11116I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.941710 + 0.259548I
a = 2.23225 − 0.37220I
b = −0.136987 + 0.157446I
2.11551 − 5.14420I 0
u = −0.941710 − 0.259548I
a = 2.23225 + 0.37220I
b = −0.136987 − 0.157446I
2.11551 + 5.14420I 0
u = 1.020070 + 0.082123I
a = 1.031600 + 0.780816I
b = −1.48063 + 0.73015I
0.31938 − 3.49441I 0
u = 1.020070 − 0.082123I
a = 1.031600 − 0.780816I
b = −1.48063 − 0.73015I
0.31938 + 3.49441I 0
u = −1.001830 + 0.233287I
a = −1.61373 − 0.43084I
b = 1.019820 − 0.686855I
−0.02377 − 5.78752I 0
u = −1.001830 − 0.233287I
a = −1.61373 + 0.43084I
b = 1.019820 + 0.686855I
−0.02377 + 5.78752I 0
u = 0.136236 + 1.025890I
a = −0.719633 + 0.799077I
b = −0.650525 + 0.788882I
−3.46252 − 4.21752I 0
u = 0.136236 − 1.025890I
a = −0.719633 − 0.799077I
b = −0.650525 − 0.788882I
−3.46252 + 4.21752I 0
u = −0.167977 + 0.950127I
a = −0.290002 + 1.037440I
b = −0.951466 + 0.745473I
−3.68721 − 3.27523I 0
u = −0.167977 − 0.950127I
a = −0.290002 − 1.037440I
b = −0.951466 − 0.745473I
−3.68721 + 3.27523I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.910982 + 0.299524I
a = 0.34574 + 2.05281I
b = −0.302013 + 0.801161I
−0.46105 − 2.18860I 0
u = −0.910982 − 0.299524I
a = 0.34574 − 2.05281I
b = −0.302013 − 0.801161I
−0.46105 + 2.18860I 0
u = −0.005164 + 1.041260I
a = 0.639436 + 0.862373I
b = 0.360312 + 1.070660I
−6.97562 + 2.24381I 0
u = −0.005164 − 1.041260I
a = 0.639436 − 0.862373I
b = 0.360312 − 1.070660I
−6.97562 − 2.24381I 0
u = 1.023210 + 0.250565I
a = 2.07776 + 0.94856I
b = −0.203059 − 0.266347I
−1.13240 + 11.02240I 0
u = 1.023210 − 0.250565I
a = 2.07776 − 0.94856I
b = −0.203059 + 0.266347I
−1.13240 − 11.02240I 0
u = −0.179225 + 1.040520I
a = −0.898061 − 0.760638I
b = −0.768989 − 0.984083I
−7.85520 + 8.35950I 0
u = −0.179225 − 1.040520I
a = −0.898061 + 0.760638I
b = −0.768989 + 0.984083I
−7.85520 − 8.35950I 0
u = 0.901239 + 0.244418I
a = −0.800546 + 0.899555I
b = 1.33330 + 0.76864I
1.61175 + 4.35594I 0
u = 0.901239 − 0.244418I
a = −0.800546 − 0.899555I
b = 1.33330 − 0.76864I
1.61175 − 4.35594I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.886423 + 0.608296I
a = −0.417111 − 0.851974I
b = 1.51474 − 0.98438I
−3.01484 − 6.95211I 0
u = −0.886423 − 0.608296I
a = −0.417111 + 0.851974I
b = 1.51474 + 0.98438I
−3.01484 + 6.95211I 0
u = −1.073010 + 0.129958I
a = −0.776007 + 0.912568I
b = 0.833781 + 0.132686I
2.52711 − 0.99224I 0
u = −1.073010 − 0.129958I
a = −0.776007 − 0.912568I
b = 0.833781 − 0.132686I
2.52711 + 0.99224I 0
u = −0.903819 + 0.600056I
a = −0.194228 + 0.097503I
b = −0.697492 − 1.036150I
−1.60144 − 1.97820I 0
u = −0.903819 − 0.600056I
a = −0.194228 − 0.097503I
b = −0.697492 + 1.036150I
−1.60144 + 1.97820I 0
u = 0.722477 + 0.814466I
a = 0.740815 + 0.042360I
b = 0.734908 − 0.521689I
0.530642 − 0.857914I 0
u = 0.722477 − 0.814466I
a = 0.740815 − 0.042360I
b = 0.734908 + 0.521689I
0.530642 + 0.857914I 0
u = 0.878159 + 0.242664I
a = −0.098780 + 0.283426I
b = −0.554255 + 1.293440I
−0.73676 + 2.10314I 0
u = 0.878159 − 0.242664I
a = −0.098780 − 0.283426I
b = −0.554255 − 1.293440I
−0.73676 − 2.10314I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.910249 + 0.037015I
a = −0.47849 − 1.45705I
b = 0.753338 − 0.765683I
1.40037 − 0.58570I 0
u = −0.910249 − 0.037015I
a = −0.47849 + 1.45705I
b = 0.753338 + 0.765683I
1.40037 + 0.58570I 0
u = 1.079010 + 0.206227I
a = −0.123987 − 0.360311I
b = 1.47315 − 0.91538I
4.03967 + 5.41750I 0
u = 1.079010 − 0.206227I
a = −0.123987 + 0.360311I
b = 1.47315 + 0.91538I
4.03967 − 5.41750I 0
u = 1.008880 + 0.455136I
a = 1.146700 + 0.496191I
b = 0.108682 − 0.153213I
−3.02207 + 0.95034I 0
u = 1.008880 − 0.455136I
a = 1.146700 − 0.496191I
b = 0.108682 + 0.153213I
−3.02207 − 0.95034I 0
u = −0.858386 + 0.230562I
a = 1.091710 + 0.363015I
b = −1.81940 + 0.94635I
−5.46005 + 1.54949I 0
u = −0.858386 − 0.230562I
a = 1.091710 − 0.363015I
b = −1.81940 − 0.94635I
−5.46005 − 1.54949I 0
u = 0.685350 + 0.557198I
a = 0.192676 − 0.505351I
b = −0.838605 + 0.312875I
−1.88020 + 2.17309I 0
u = 0.685350 − 0.557198I
a = 0.192676 + 0.505351I
b = −0.838605 − 0.312875I
−1.88020 − 2.17309I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.419039 + 0.770002I
a = −1.171560 + 0.741643I
b = −0.508847 + 0.460575I
−4.21165 − 3.97894I 0
u = 0.419039 − 0.770002I
a = −1.171560 − 0.741643I
b = −0.508847 − 0.460575I
−4.21165 + 3.97894I 0
u = 0.757319 + 0.438938I
a = −0.16686 − 1.98211I
b = −0.502869 − 0.956805I
−3.29399 + 8.42223I 0
u = 0.757319 − 0.438938I
a = −0.16686 + 1.98211I
b = −0.502869 + 0.956805I
−3.29399 − 8.42223I 0
u = 0.182868 + 1.127140I
a = −0.099297 − 0.868525I
b = −0.698346 − 1.089340I
−4.82462 + 3.35490I 0
u = 0.182868 − 1.127140I
a = −0.099297 + 0.868525I
b = −0.698346 + 1.089340I
−4.82462 − 3.35490I 0
u = 0.810558 + 0.253566I
a = −2.39009 − 0.15928I
b = 0.007354 + 0.444463I
−5.77653 + 4.38873I 0
u = 0.810558 − 0.253566I
a = −2.39009 + 0.15928I
b = 0.007354 − 0.444463I
−5.77653 − 4.38873I 0
u = −0.032255 + 1.171010I
a = 0.677224 + 0.810296I
b = 0.777621 + 1.012520I
−4.8125 + 14.7446I 0
u = −0.032255 − 1.171010I
a = 0.677224 − 0.810296I
b = 0.777621 − 1.012520I
−4.8125 − 14.7446I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.004153 + 1.173180I
a = 0.621616 − 0.800224I
b = 0.628100 − 0.923295I
−0.86051 − 8.28933I 0
u = 0.004153 − 1.173180I
a = 0.621616 + 0.800224I
b = 0.628100 + 0.923295I
−0.86051 + 8.28933I 0
u = −1.160770 + 0.172269I
a = 0.251287 + 0.297848I
b = −0.620853 + 0.121311I
1.95157 − 0.09545I 0
u = −1.160770 − 0.172269I
a = 0.251287 − 0.297848I
b = −0.620853 − 0.121311I
1.95157 + 0.09545I 0
u = −1.102500 + 0.403399I
a = −0.64337 − 1.36102I
b = 1.25118 − 1.39287I
2.20201 − 6.60941I 0
u = −1.102500 − 0.403399I
a = −0.64337 + 1.36102I
b = 1.25118 + 1.39287I
2.20201 + 6.60941I 0
u = 0.783807 + 0.204550I
a = 0.43137 − 2.27060I
b = −0.062834 − 1.100940I
−5.93852 − 1.91924I 0
u = 0.783807 − 0.204550I
a = 0.43137 + 2.27060I
b = −0.062834 + 1.100940I
−5.93852 + 1.91924I 0
u = −0.786568 + 0.168902I
a = −0.404782 − 0.074901I
b = −0.69002 − 2.25440I
−5.77655 − 3.77297I 0
u = −0.786568 − 0.168902I
a = −0.404782 + 0.074901I
b = −0.69002 + 2.25440I
−5.77655 + 3.77297I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.096945 + 1.208110I
a = 0.285525 + 0.606083I
b = 0.496297 + 1.208820I
−5.85740 + 0.93686I 0
u = −0.096945 − 1.208110I
a = 0.285525 − 0.606083I
b = 0.496297 − 1.208820I
−5.85740 − 0.93686I 0
u = 0.766704 + 0.109869I
a = −0.073871 + 0.880786I
b = −1.038940 − 0.028975I
−0.32041 + 4.36664I 0
u = 0.766704 − 0.109869I
a = −0.073871 − 0.880786I
b = −1.038940 + 0.028975I
−0.32041 − 4.36664I 0
u = 1.200650 + 0.271618I
a = −0.265384 + 0.267536I
b = 1.58241 + 0.43184I
3.49282 + 6.04510I 0
u = 1.200650 − 0.271618I
a = −0.265384 − 0.267536I
b = 1.58241 − 0.43184I
3.49282 − 6.04510I 0
u = −0.368818 + 0.672839I
a = 0.818687 − 0.095745I
b = 0.500821 − 0.511438I
−0.78139 − 3.14198I 0
u = −0.368818 − 0.672839I
a = 0.818687 + 0.095745I
b = 0.500821 + 0.511438I
−0.78139 + 3.14198I 0
u = −1.219470 + 0.205127I
a = −1.03405 − 1.35713I
b = 0.740843 − 0.645709I
5.58472 − 5.07772I 0
u = −1.219470 − 0.205127I
a = −1.03405 + 1.35713I
b = 0.740843 + 0.645709I
5.58472 + 5.07772I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.156010 + 0.445248I
a = −0.417710 + 1.287460I
b = 1.37006 + 0.97818I
2.85416 + 5.29441I 0
u = 1.156010 − 0.445248I
a = −0.417710 − 1.287460I
b = 1.37006 − 0.97818I
2.85416 − 5.29441I 0
u = 0.759259
a = 1.21796
b = −1.58398
−1.67990 0
u = −0.749218
a = −2.97064
b = −0.0127734
−1.63607 0
u = −1.121570 + 0.562084I
a = 0.163020 − 0.973628I
b = 1.110900 − 0.390923I
2.26211 − 2.51652I 0
u = −1.121570 − 0.562084I
a = 0.163020 + 0.973628I
b = 1.110900 + 0.390923I
2.26211 + 2.51652I 0
u = −1.252570 + 0.183974I
a = 0.296046 + 0.701703I
b = −1.43761 + 1.92411I
1.81439 − 9.64166I 0
u = −1.252570 − 0.183974I
a = 0.296046 − 0.701703I
b = −1.43761 − 1.92411I
1.81439 + 9.64166I 0
u = 0.410556 + 1.198760I
a = −0.540811 − 0.091650I
b = −0.737529 + 0.107259I
0.87054 − 6.12136I 0
u = 0.410556 − 1.198760I
a = −0.540811 + 0.091650I
b = −0.737529 − 0.107259I
0.87054 + 6.12136I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.157080 + 0.533898I
a = −0.212976 + 0.382913I
b = 0.085770 + 1.017750I
−1.90982 + 2.48807I 0
u = 1.157080 − 0.533898I
a = −0.212976 − 0.382913I
b = 0.085770 − 1.017750I
−1.90982 − 2.48807I 0
u = −0.725390 + 1.058350I
a = −0.220840 + 0.450227I
b = −0.526215 + 0.205867I
3.14897 + 0.40252I 0
u = −0.725390 − 1.058350I
a = −0.220840 − 0.450227I
b = −0.526215 − 0.205867I
3.14897 − 0.40252I 0
u = 1.191820 + 0.489960I
a = −0.316041 + 1.049930I
b = 1.22005 + 0.87336I
2.71899 + 5.49712I 0
u = 1.191820 − 0.489960I
a = −0.316041 − 1.049930I
b = 1.22005 − 0.87336I
2.71899 − 5.49712I 0
u = 1.288050 + 0.181306I
a = 0.157721 − 1.163590I
b = −0.0435054 − 0.1013280I
4.89026 + 3.20957I 0
u = 1.288050 − 0.181306I
a = 0.157721 + 1.163590I
b = −0.0435054 + 0.1013280I
4.89026 − 3.20957I 0
u = −0.682522 + 0.131631I
a = 0.94611 − 1.22570I
b = −0.550588 + 0.135442I
2.74796 + 0.70076I 0
u = −0.682522 − 0.131631I
a = 0.94611 + 1.22570I
b = −0.550588 − 0.135442I
2.74796 − 0.70076I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.227500 + 0.539315I
a = −0.415190 − 0.786644I
b = 1.33725 − 1.23938I
−2.61566 − 7.02854I 0
u = −1.227500 − 0.539315I
a = −0.415190 + 0.786644I
b = 1.33725 + 1.23938I
−2.61566 + 7.02854I 0
u = −1.329220 + 0.228470I
a = 0.370944 + 1.084410I
b = −0.487068 + 0.157170I
4.16915 − 4.28201I 0
u = −1.329220 − 0.228470I
a = 0.370944 − 1.084410I
b = −0.487068 − 0.157170I
4.16915 + 4.28201I 0
u = 1.325760 + 0.290604I
a = 0.267691 − 0.881832I
b = −0.940512 − 0.811806I
9.13595 + 3.18355I 0
u = 1.325760 − 0.290604I
a = 0.267691 + 0.881832I
b = −0.940512 + 0.811806I
9.13595 − 3.18355I 0
u = −1.173410 + 0.685976I
a = 0.199940 − 0.617062I
b = 0.732611 − 0.163553I
1.91365 − 2.65055I 0
u = −1.173410 − 0.685976I
a = 0.199940 + 0.617062I
b = 0.732611 + 0.163553I
1.91365 + 2.65055I 0
u = 0.536702 + 0.326827I
a = 1.86003 − 0.15335I
b = −0.308604 − 1.002870I
−1.76826 − 3.10202I 0
u = 0.536702 − 0.326827I
a = 1.86003 + 0.15335I
b = −0.308604 + 1.002870I
−1.76826 + 3.10202I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.264190 + 0.536205I
a = 0.352157 + 1.086730I
b = −0.77320 + 1.21163I
−2.42445 − 3.92596I 0
u = −1.264190 − 0.536205I
a = 0.352157 − 1.086730I
b = −0.77320 − 1.21163I
−2.42445 + 3.92596I 0
u = −1.343680 + 0.290582I
a = 0.253811 + 0.864510I
b = −1.070670 + 0.468631I
6.83971 + 1.92735I 0
u = −1.343680 − 0.290582I
a = 0.253811 − 0.864510I
b = −1.070670 − 0.468631I
6.83971 − 1.92735I 0
u = 1.351440 + 0.255840I
a = −0.987749 + 0.952513I
b = 1.112130 + 0.524380I
3.57229 + 9.36641I 0
u = 1.351440 − 0.255840I
a = −0.987749 − 0.952513I
b = 1.112130 − 0.524380I
3.57229 − 9.36641I 0
u = −0.430922 + 0.451652I
a = 0.86876 − 2.11192I
b = −0.026895 − 0.940836I
0.89030 + 2.11401I 0
u = −0.430922 − 0.451652I
a = 0.86876 + 2.11192I
b = −0.026895 + 0.940836I
0.89030 − 2.11401I 0
u = −0.548139 + 0.286304I
a = −1.49477 − 0.47034I
b = 1.69700 − 0.53561I
−2.62395 + 7.97434I 0
u = −0.548139 − 0.286304I
a = −1.49477 + 0.47034I
b = 1.69700 + 0.53561I
−2.62395 − 7.97434I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.387790 + 0.003112I
a = −0.004582 − 0.177119I
b = 0.757237 − 1.057860I
5.32106 + 0.36979I 0
u = −1.387790 − 0.003112I
a = −0.004582 + 0.177119I
b = 0.757237 + 1.057860I
5.32106 − 0.36979I 0
u = −1.266330 + 0.568624I
a = 0.381555 + 1.149880I
b = −1.25628 + 1.18285I
−4.4576 − 14.0685I 0
u = −1.266330 − 0.568624I
a = 0.381555 − 1.149880I
b = −1.25628 − 1.18285I
−4.4576 + 14.0685I 0
u = 1.278760 + 0.544025I
a = 0.392596 − 1.109330I
b = −1.08113 − 1.03042I
0.11235 + 9.78625I 0
u = 1.278760 − 0.544025I
a = 0.392596 + 1.109330I
b = −1.08113 + 1.03042I
0.11235 − 9.78625I 0
u = 0.239228 + 0.554190I
a = 1.096990 − 0.683420I
b = 0.705204 − 0.805438I
0.005915 − 1.270890I 0
u = 0.239228 − 0.554190I
a = 1.096990 + 0.683420I
b = 0.705204 + 0.805438I
0.005915 + 1.270890I 0
u = −0.563968 + 0.193891I
a = 1.24682 + 1.03036I
b = 0.574396 + 1.114600I
−1.31218 + 3.52110I 0
u = −0.563968 − 0.193891I
a = 1.24682 − 1.03036I
b = 0.574396 − 1.114600I
−1.31218 − 3.52110I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.30026 + 0.58324I
a = 0.232643 − 0.326397I
b = −0.628486 − 1.014780I
−1.71043 + 5.41779I 0
u = 1.30026 − 0.58324I
a = 0.232643 + 0.326397I
b = −0.628486 + 1.014780I
−1.71043 − 5.41779I 0
u = −1.29153 + 0.61828I
a = −0.005743 − 0.721952I
b = 0.604506 − 0.252130I
1.70017 − 2.39294I 0
u = −1.29153 − 0.61828I
a = −0.005743 + 0.721952I
b = 0.604506 + 0.252130I
1.70017 + 2.39294I 0
u = 1.43698 + 0.06025I
a = 0.003089 + 0.750588I
b = −0.02991 + 2.08276I
6.94187 − 0.65250I 0
u = 1.43698 − 0.06025I
a = 0.003089 − 0.750588I
b = −0.02991 − 2.08276I
6.94187 + 0.65250I 0
u = −1.34743 + 0.50692I
a = −0.323862 − 0.885734I
b = 1.00909 − 1.42259I
−2.77555 − 7.73319I 0
u = −1.34743 − 0.50692I
a = −0.323862 + 0.885734I
b = 1.00909 + 1.42259I
−2.77555 + 7.73319I 0
u = −0.300329 + 0.459880I
a = 2.16698 + 0.68037I
b = 0.567826 + 1.089640I
−0.14467 + 3.00445I 0
u = −0.300329 − 0.459880I
a = 2.16698 − 0.68037I
b = 0.567826 − 1.089640I
−0.14467 − 3.00445I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.31864 + 0.63373I
a = 0.037226 − 0.915603I
b = −1.209670 − 0.584234I
4.14669 + 12.67360I 0
u = 1.31864 − 0.63373I
a = 0.037226 + 0.915603I
b = −1.209670 + 0.584234I
4.14669 − 12.67360I 0
u = 0.021491 + 0.529465I
a = 1.62829 + 0.65341I
b = 0.354677 + 1.148380I
−5.46244 + 2.80420I 0
u = 0.021491 − 0.529465I
a = 1.62829 − 0.65341I
b = 0.354677 − 1.148380I
−5.46244 − 2.80420I 0
u = −1.35979 + 0.57521I
a = −0.399752 − 1.059340I
b = 1.26096 − 1.16591I
−0.6656 − 20.8442I 0
u = −1.35979 − 0.57521I
a = −0.399752 + 1.059340I
b = 1.26096 + 1.16591I
−0.6656 + 20.8442I 0
u = 1.36500 + 0.56847I
a = −0.349469 + 1.028930I
b = 1.12509 + 1.15449I
3.3780 + 14.3617I 0
u = 1.36500 − 0.56847I
a = −0.349469 − 1.028930I
b = 1.12509 − 1.15449I
3.3780 − 14.3617I 0
u = 1.38508 + 0.51862I
a = 0.552465 − 0.932881I
b = −1.22291 − 0.81708I
1.03400 + 8.66852I 0
u = 1.38508 − 0.51862I
a = 0.552465 + 0.932881I
b = −1.22291 + 0.81708I
1.03400 − 8.66852I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.148720 + 0.482945I
a = 1.31359 − 0.57487I
b = 0.676467 − 0.691564I
−0.004881 − 1.286030I 0
u = 0.148720 − 0.482945I
a = 1.31359 + 0.57487I
b = 0.676467 + 0.691564I
−0.004881 + 1.286030I 0
u = −1.35453 + 0.65792I
a = 0.005338 + 0.700792I
b = −0.971850 + 0.557496I
6.07493 − 7.57229I 0
u = −1.35453 − 0.65792I
a = 0.005338 − 0.700792I
b = −0.971850 − 0.557496I
6.07493 + 7.57229I 0
u = 1.36144 + 0.64702I
a = 0.311903 − 0.254748I
b = −0.512168 − 0.365117I
−2.62729 + 3.59920I 0
u = 1.36144 − 0.64702I
a = 0.311903 + 0.254748I
b = −0.512168 + 0.365117I
−2.62729 − 3.59920I 0
u = 0.112682 + 0.473330I
a = 1.318460 − 0.382065I
b = 0.602784 − 0.525291I
−0.009720 − 1.263390I 0. + 4.02131I
u = 0.112682 − 0.473330I
a = 1.318460 + 0.382065I
b = 0.602784 + 0.525291I
−0.009720 + 1.263390I 0. − 4.02131I
u = 1.53517 + 0.02120I
a = −0.051958 − 0.337218I
b = −0.334881 + 0.080066I
−1.83289 − 3.57922I 0
u = 1.53517 − 0.02120I
a = −0.051958 + 0.337218I
b = −0.334881 − 0.080066I
−1.83289 + 3.57922I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.42745 + 0.56571I
a = 0.575721 + 0.757452I
b = −1.23625 + 0.97042I
0.12555 − 9.41106I 0
u = −1.42745 − 0.56571I
a = 0.575721 − 0.757452I
b = −1.23625 − 0.97042I
0.12555 + 9.41106I 0
u = 0.378134 + 0.210562I
a = 0.95746 + 3.19583I
b = −0.273839 + 1.082160I
−2.85014 − 8.62215I −4.59014 + 5.23088I
u = 0.378134 − 0.210562I
a = 0.95746 − 3.19583I
b = −0.273839 − 1.082160I
−2.85014 + 8.62215I −4.59014 − 5.23088I
u = 1.50193 + 0.50382I
a = −0.444673 + 0.307729I
b = 0.352788 + 0.354843I
−0.82752 + 6.87156I 0
u = 1.50193 − 0.50382I
a = −0.444673 − 0.307729I
b = 0.352788 − 0.354843I
−0.82752 − 6.87156I 0
u = 0.168166 + 0.043064I
a = −5.98163 − 1.03181I
b = 0.936793 − 0.081608I
1.69091 − 3.73872I 2.17781 + 3.89804I
u = 0.168166 − 0.043064I
a = −5.98163 + 1.03181I
b = 0.936793 + 0.081608I
1.69091 + 3.73872I 2.17781 − 3.89804I
u = 1.82111 + 0.55590I
a = 0.138572 + 0.145635I
b = 0.305914 − 0.242109I
0.29197 − 8.00629I 0
u = 1.82111 − 0.55590I
a = 0.138572 − 0.145635I
b = 0.305914 + 0.242109I
0.29197 + 8.00629I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0252858
a = 42.3506
b = −0.691363
−2.02113 −4.89160
u = −2.00370 + 0.43858I
a = 0.059461 − 0.151701I
b = 0.148255 − 0.017669I
4.22160 + 1.14204I 0
u = −2.00370 − 0.43858I
a = 0.059461 + 0.151701I
b = 0.148255 + 0.017669I
4.22160 − 1.14204I 0
22
II. I
u
2
=
h1.36×10
44
u
40
−3.58×10
43
u
39
+· · ·+3.88×10
43
b−1.90×10
45
, 1.80×10
43
u
40
+
1.31 × 10
43
u
39
+ · · · + 1.47 × 10
43
a − 5.14 × 10
44
, u
41
− u
40
+ · · · + 29u + 11i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
7
=
1
−u
2
a
3
=
−1.21947u
40
− 0.887964u
39
+ ··· + 116.260u + 34.9202
−3.50622u
40
+ 0.922029u
39
+ ··· + 172.647u + 48.7986
a
11
=
u
−u
3
+ u
a
4
=
1.07592u
40
− 1.94844u
39
+ ··· + 27.1620u + 12.7597
−3.08528u
40
+ 0.960192u
39
+ ··· + 144.610u + 40.2222
a
2
=
2.28675u
40
− 1.80999u
39
+ ··· − 56.3864u − 13.8784
−3.50622u
40
+ 0.922029u
39
+ ··· + 172.647u + 48.7986
a
1
=
4.24856u
40
− 3.80174u
39
+ ··· − 87.0183u − 0.0200182
0.379784u
40
− 0.525792u
39
+ ··· + 3.33026u + 6.69813
a
9
=
−4.64507u
40
+ 1.53639u
39
+ ··· + 219.665u + 51.1541
−1.79701u
40
+ 0.489537u
39
+ ··· + 86.1902u + 17.2364
a
5
=
−3.88045u
40
+ 1.02053u
39
+ ··· + 192.075u + 37.7071
−4.21447u
40
+ 2.18541u
39
+ ··· + 152.476u + 23.6968
a
12
=
1.42334u
40
− 2.38353u
39
+ ··· + 21.9545u + 22.0103
4.35282u
40
− 1.17620u
39
+ ··· − 212.688u − 49.0652
a
8
=
4.38986u
40
− 0.642310u
39
+ ··· − 246.880u − 68.6471
−1.02171u
40
+ 0.865503u
39
+ ··· + 19.1329u − 1.43046
(ii) Obstruction class = 1
(iii) Cusp Shapes = 3.85109u
40
+ 3.16921u
39
+ ··· − 436.905u − 176.165
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
41
− 11u
40
+ ··· + 72u − 11
c
2
u
41
+ 4u
40
+ ··· − 3u − 1
c
3
u
41
+ u
40
+ ··· + 2u + 1
c
4
u
41
+ 11u
40
+ ··· + 72u + 11
c
5
u
41
+ 2u
40
+ ··· + 7u − 1
c
6
u
41
− u
40
+ ··· + 29u + 11
c
7
u
41
+ 5u
39
+ ··· + 88u − 31
c
8
u
41
+ 10u
39
+ ··· − 6u − 1
c
9
u
41
− 3u
39
+ ··· + 2u − 1
c
10
u
41
+ u
40
+ ··· + 29u − 11
c
11
u
41
+ u
40
+ ··· − 95u − 25
c
12
u
41
+ 10u
39
+ ··· − 6u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
41
+ 37y
40
+ ··· − 1702y −121
c
2
y
41
+ 18y
40
+ ··· − 35y −1
c
3
y
41
+ 33y
40
+ ··· − 54y −1
c
5
y
41
− 34y
40
+ ··· + 25y −1
c
6
, c
10
y
41
− 39y
40
+ ··· + 1699y −121
c
7
y
41
+ 10y
40
+ ··· + 5512y −961
c
8
, c
12
y
41
+ 20y
40
+ ··· − 32y −1
c
9
y
41
− 6y
40
+ ··· − 4y −1
c
11
y
41
− 15y
40
+ ··· + 9675y −625
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.948998 + 0.188927I
a = −1.47164 − 0.16078I
b = 1.062120 + 0.067203I
2.85648 − 4.65083I 5.82829 + 4.94875I
u = −0.948998 − 0.188927I
a = −1.47164 + 0.16078I
b = 1.062120 − 0.067203I
2.85648 + 4.65083I 5.82829 − 4.94875I
u = 0.013214 + 0.963497I
a = −0.442379 + 0.958457I
b = −0.800258 + 0.604053I
−3.09124 − 4.26556I −0.67427 + 7.81117I
u = 0.013214 − 0.963497I
a = −0.442379 − 0.958457I
b = −0.800258 − 0.604053I
−3.09124 + 4.26556I −0.67427 − 7.81117I
u = 0.930972 + 0.142272I
a = −0.903376 − 0.790557I
b = 0.81326 − 1.45164I
−1.37666 + 9.65703I 0.29714 − 4.57227I
u = 0.930972 − 0.142272I
a = −0.903376 + 0.790557I
b = 0.81326 + 1.45164I
−1.37666 − 9.65703I 0.29714 + 4.57227I
u = −0.864280 + 0.322984I
a = 0.179497 − 1.209950I
b = 0.218442 − 0.677718I
0.61389 − 1.78499I 0.88018 + 3.78376I
u = −0.864280 − 0.322984I
a = 0.179497 + 1.209950I
b = 0.218442 + 0.677718I
0.61389 + 1.78499I 0.88018 − 3.78376I
u = 0.923761 + 0.587477I
a = −0.531164 + 0.614959I
b = 0.509879 + 1.012170I
−2.91855 + 4.87379I −6.02867 − 6.11416I
u = 0.923761 − 0.587477I
a = −0.531164 − 0.614959I
b = 0.509879 − 1.012170I
−2.91855 − 4.87379I −6.02867 + 6.11416I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.852932
a = 1.78782
b = −0.938634
−1.01345 4.05670
u = −1.133090 + 0.337664I
a = −0.818291 − 0.988272I
b = 1.16898 − 1.22170I
1.27274 − 6.45012I 0. + 8.83301I
u = −1.133090 − 0.337664I
a = −0.818291 + 0.988272I
b = 1.16898 + 1.22170I
1.27274 + 6.45012I 0. − 8.83301I
u = 0.033717 + 1.190540I
a = −0.298867 − 0.686512I
b = −0.435570 − 1.147210I
−5.70107 + 1.39440I −3.79059 − 7.87639I
u = 0.033717 − 1.190540I
a = −0.298867 + 0.686512I
b = −0.435570 + 1.147210I
−5.70107 − 1.39440I −3.79059 + 7.87639I
u = 0.807910 + 0.015550I
a = 1.14004 − 0.97933I
b = −0.76131 − 1.38466I
−5.38637 − 2.85526I −3.87742 + 3.20878I
u = 0.807910 − 0.015550I
a = 1.14004 + 0.97933I
b = −0.76131 + 1.38466I
−5.38637 + 2.85526I −3.87742 − 3.20878I
u = 1.133230 + 0.390249I
a = −0.62880 + 1.42056I
b = 1.21011 + 1.09053I
2.60889 + 5.87340I 3.54060 − 8.80569I
u = 1.133230 − 0.390249I
a = −0.62880 − 1.42056I
b = 1.21011 − 1.09053I
2.60889 − 5.87340I 3.54060 + 8.80569I
u = −1.283470 + 0.192388I
a = 0.309119 + 1.123920I
b = −0.201143 + 0.266008I
6.00053 − 3.43988I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.283470 − 0.192388I
a = 0.309119 − 1.123920I
b = −0.201143 − 0.266008I
6.00053 + 3.43988I 0
u = −1.158020 + 0.598769I
a = 0.174356 − 0.843047I
b = 0.712780 − 0.277649I
1.19639 − 2.62029I 0
u = −1.158020 − 0.598769I
a = 0.174356 + 0.843047I
b = 0.712780 + 0.277649I
1.19639 + 2.62029I 0
u = −1.298140 + 0.547375I
a = 0.357183 + 0.757775I
b = −1.26081 + 1.33875I
−1.72496 − 7.43598I 0
u = −1.298140 − 0.547375I
a = 0.357183 − 0.757775I
b = −1.26081 − 1.33875I
−1.72496 + 7.43598I 0
u = 1.41711 + 0.03136I
a = −0.046463 − 0.735250I
b = 0.09102 − 2.09142I
7.05282 − 0.38190I 0
u = 1.41711 − 0.03136I
a = −0.046463 + 0.735250I
b = 0.09102 + 2.09142I
7.05282 + 0.38190I 0
u = 0.417001 + 0.405241I
a = 2.22315 − 0.38033I
b = 0.560782 − 0.830549I
0.30606 − 2.52832I 3.39609 + 0.48164I
u = 0.417001 − 0.405241I
a = 2.22315 + 0.38033I
b = 0.560782 + 0.830549I
0.30606 + 2.52832I 3.39609 − 0.48164I
u = −0.531824 + 0.084973I
a = 2.06655 + 0.23764I
b = 0.299816 + 1.129640I
−1.16586 + 4.03183I −0.21603 − 12.06011I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.531824 − 0.084973I
a = 2.06655 − 0.23764I
b = 0.299816 − 1.129640I
−1.16586 − 4.03183I −0.21603 + 12.06011I
u = 1.39911 + 0.52488I
a = 0.575053 − 0.881399I
b = −1.173440 − 0.755391I
1.42414 + 9.69341I 0
u = 1.39911 − 0.52488I
a = 0.575053 + 0.881399I
b = −1.173440 + 0.755391I
1.42414 − 9.69341I 0
u = 1.57679 + 0.21920I
a = 0.200507 − 0.065792I
b = −0.111675 + 0.487713I
0.03875 − 7.80297I 0
u = 1.57679 − 0.21920I
a = 0.200507 + 0.065792I
b = −0.111675 − 0.487713I
0.03875 + 7.80297I 0
u = 1.51946 + 0.52586I
a = −0.190896 + 0.217650I
b = 0.432046 + 0.487488I
−2.38470 + 3.92779I 0
u = 1.51946 − 0.52586I
a = −0.190896 − 0.217650I
b = 0.432046 − 0.487488I
−2.38470 − 3.92779I 0
u = −0.164827 + 0.349316I
a = −2.12620 + 0.91108I
b = 0.071798 + 0.779748I
1.70472 + 1.24557I 1.337522 + 0.033237I
u = −0.164827 − 0.349316I
a = −2.12620 − 0.91108I
b = 0.071798 − 0.779748I
1.70472 − 1.24557I 1.337522 − 0.033237I
u = −1.86318 + 0.36831I
a = 0.0659731 − 0.1058880I
b = 0.062498 − 0.323247I
4.11551 + 1.12253I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.86318 − 0.36831I
a = 0.0659731 + 0.1058880I
b = 0.062498 + 0.323247I
4.11551 − 1.12253I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
41
− 11u
40
+ ··· + 72u − 11)(u
173
+ 10u
172
+ ··· − 19296u + 2479)
c
2
(u
41
+ 4u
40
+ ··· − 3u − 1)(u
173
− 11u
172
+ ··· + 81u + 1)
c
3
(u
41
+ u
40
+ ··· + 2u + 1)(u
173
+ 5u
171
+ ··· − 63604u + 4777)
c
4
(u
41
+ 11u
40
+ ··· + 72u + 11)(u
173
+ 10u
172
+ ··· − 19296u + 2479)
c
5
(u
41
+ 2u
40
+ ··· + 7u − 1)
· (u
173
+ 5u
172
+ ··· − 146967068577u − 20660319509)
c
6
(u
41
− u
40
+ ··· + 29u + 11)(u
173
− 61u
171
+ ··· − 1173u − 23)
c
7
(u
41
+ 5u
39
+ ··· + 88u − 31)
· (u
173
+ u
172
+ ··· + 118309218u − 11032501)
c
8
(u
41
+ 10u
39
+ ··· − 6u − 1)(u
173
− 5u
172
+ ··· + 16696u + 15296)
c
9
(u
41
− 3u
39
+ ··· + 2u − 1)(u
173
+ u
172
+ ··· − 14u + 4)
c
10
(u
41
+ u
40
+ ··· + 29u − 11)(u
173
− 61u
171
+ ··· − 1173u − 23)
c
11
(u
41
+ u
40
+ ··· − 95u − 25)
· (u
173
− 21u
171
+ ··· − 2568295u + 328021)
c
12
(u
41
+ 10u
39
+ ··· − 6u + 1)(u
173
− 5u
172
+ ··· + 16696u + 15296)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
41
+ 37y
40
+ ··· − 1702y −121)
· (y
173
+ 110y
172
+ ··· − 487431164y −6145441)
c
2
(y
41
+ 18y
40
+ ··· − 35y −1)(y
173
+ 15y
172
+ ··· + 6111y −1)
c
3
(y
41
+ 33y
40
+ ··· − 54y −1)
· (y
173
+ 10y
172
+ ··· − 4426368712y −22819729)
c
5
(y
41
− 34y
40
+ ··· + 25y −1)
· (y
173
− 101y
172
+ ··· + 2.92 × 10
22
y −4.27 × 10
20
)
c
6
, c
10
(y
41
− 39y
40
+ ··· + 1699y −121)
· (y
173
− 122y
172
+ ··· + 882901y −529)
c
7
(y
41
+ 10y
40
+ ··· + 5512y −961)
· (y
173
+ 43y
172
+ ··· + 128804976616151910y −121716078315001)
c
8
, c
12
(y
41
+ 20y
40
+ ··· − 32y −1)
· (y
173
+ 105y
172
+ ··· − 8693357120y −233967616)
c
9
(y
41
− 6y
40
+ ··· − 4y −1)(y
173
− y
172
+ ··· − 964y −16)
c
11
(y
41
− 15y
40
+ ··· + 9675y −625)
· (y
173
− 42y
172
+ ··· − 3575854983007y −107597776441)
34
