12a
0293
(K12a
0293
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 2 11 5 1 4 12 7 9
Solving Sequence
6,11
7
3,12
2 1 5 8 10 4 9
c
6
c
11
c
2
c
1
c
5
c
7
c
10
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.68620 × 10
394
u
141
+ 2.89813 × 10
395
u
140
+ ··· + 1.40096 × 10
396
b − 3.85850 × 10
398
,
− 2.69292 × 10
397
u
141
− 7.48767 × 10
397
u
140
+ ··· + 8.29864 × 10
397
a + 9.29056 × 10
400
,
u
142
+ 2u
141
+ ··· + 547u − 1007i
I
u
2
= h11u
28
+ 2u
27
+ ··· + b + 1, 36u
28
− 17u
27
+ ··· + a + 57, u
29
− u
28
+ ··· + 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 171 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−2.69 × 10
394
u
141
+ 2.90 × 10
395
u
140
+ · · · + 1.40 × 10
396
b − 3.86 ×
10
398
, −2.69 × 10
397
u
141
− 7.49 × 10
397
u
140
+ · · · + 8.30 × 10
397
a + 9.29 ×
10
400
, u
142
+ 2u
141
+ · · · + 547u − 1007i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
7
=
1
u
2
a
3
=
0.324502u
141
+ 0.902277u
140
+ ··· + 2024.09u − 1119.53
0.0191740u
141
− 0.206867u
140
+ ··· − 570.651u + 275.418
a
12
=
−u
−u
3
+ u
a
2
=
0.343676u
141
+ 0.695410u
140
+ ··· + 1453.44u − 844.109
0.0191740u
141
− 0.206867u
140
+ ··· − 570.651u + 275.418
a
1
=
0.445228u
141
+ 0.992377u
140
+ ··· + 1813.92u − 1079.17
−1.24464u
141
− 1.82063u
140
+ ··· − 2017.86u + 1441.73
a
5
=
−0.454052u
141
− 0.769538u
140
+ ··· − 1265.24u + 766.555
−1.22762u
141
− 1.01892u
140
+ ··· + 23.3711u + 500.852
a
8
=
−0.723879u
141
− 0.854490u
140
+ ··· + 584.319u − 16.5073
0.555025u
141
+ 0.280459u
140
+ ··· − 836.186u + 46.1797
a
10
=
u
3
u
5
− u
3
+ u
a
4
=
0.235017u
141
− 0.253990u
140
+ ··· − 1520.59u + 620.267
−1.37505u
141
− 1.24854u
140
+ ··· − 244.129u + 679.355
a
9
=
−1.62936u
141
− 1.75855u
140
+ ··· − 1055.05u + 1207.03
0.550954u
141
+ 0.242025u
140
+ ··· − 673.973u + 8.66774
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.391067u
141
− 0.798487u
140
+ ··· − 3673.90u + 1241.22
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
142
+ 54u
141
+ ··· + 370442u + 6241
c
2
, c
5
u
142
+ 8u
141
+ ··· − 566u − 79
c
3
u
142
+ u
141
+ ··· + 16848u − 905
c
4
, c
9
u
142
− u
141
+ ··· + 10u
2
− 1
c
6
, c
11
u
142
− 2u
141
+ ··· − 547u − 1007
c
7
u
142
− 3u
141
+ ··· − 8672u + 4937
c
8
, c
12
u
142
− 4u
141
+ ··· + 11237u + 289
c
10
u
142
+ 58u
141
+ ··· + 38359781u + 1014049
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
142
+ 82y
141
+ ··· − 5472163826y + 38950081
c
2
, c
5
y
142
− 54y
141
+ ··· − 370442y + 6241
c
3
y
142
+ 27y
141
+ ··· − 80000234y + 819025
c
4
, c
9
y
142
− 89y
141
+ ··· − 20y + 1
c
6
, c
11
y
142
− 58y
141
+ ··· − 38359781y + 1014049
c
7
y
142
+ 15y
141
+ ··· + 1536104854y + 24373969
c
8
, c
12
y
142
+ 104y
141
+ ··· − 98905915y + 83521
c
10
y
142
+ 66y
141
+ ··· + 28207829072127y + 1028295374401
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.852421 + 0.522282I
a = 1.74806 − 3.40367I
b = 0.859735 + 0.616722I
2.99761 − 1.03355I 0
u = 0.852421 − 0.522282I
a = 1.74806 + 3.40367I
b = 0.859735 − 0.616722I
2.99761 + 1.03355I 0
u = −0.928961 + 0.343247I
a = −1.079520 − 0.573628I
b = −1.182340 − 0.121222I
−3.19866 + 1.20959I 0
u = −0.928961 − 0.343247I
a = −1.079520 + 0.573628I
b = −1.182340 + 0.121222I
−3.19866 − 1.20959I 0
u = 0.869382 + 0.524205I
a = −1.01437 + 2.22245I
b = 0.835100 − 0.706450I
2.93974 − 3.19163I 0
u = 0.869382 − 0.524205I
a = −1.01437 − 2.22245I
b = 0.835100 + 0.706450I
2.93974 + 3.19163I 0
u = 0.672295 + 0.763385I
a = −0.16994 − 1.79953I
b = 0.647232 + 0.959592I
8.07878 + 0.85121I 0
u = 0.672295 − 0.763385I
a = −0.16994 + 1.79953I
b = 0.647232 − 0.959592I
8.07878 − 0.85121I 0
u = 0.816739 + 0.607186I
a = −2.34879 − 0.13672I
b = 0.850895 − 0.622594I
3.02412 + 3.83131I 0
u = 0.816739 − 0.607186I
a = −2.34879 + 0.13672I
b = 0.850895 + 0.622594I
3.02412 − 3.83131I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.886616 + 0.422301I
a = 0.286300 + 0.129508I
b = −1.131980 + 0.715887I
−1.56995 + 1.18711I 0
u = 0.886616 − 0.422301I
a = 0.286300 − 0.129508I
b = −1.131980 − 0.715887I
−1.56995 − 1.18711I 0
u = −0.953198 + 0.370460I
a = −0.445465 − 0.726537I
b = −1.40087 − 0.19638I
−3.10094 + 1.36359I 0
u = −0.953198 − 0.370460I
a = −0.445465 + 0.726537I
b = −1.40087 + 0.19638I
−3.10094 − 1.36359I 0
u = 0.618279 + 0.818936I
a = −0.82090 + 1.24911I
b = 1.079850 − 0.753387I
6.71061 + 7.10649I 0
u = 0.618279 − 0.818936I
a = −0.82090 − 1.24911I
b = 1.079850 + 0.753387I
6.71061 − 7.10649I 0
u = 0.509160 + 0.822000I
a = 0.27897 − 1.61555I
b = −1.010670 + 0.646060I
−0.76963 + 6.91366I 0
u = 0.509160 − 0.822000I
a = 0.27897 + 1.61555I
b = −1.010670 − 0.646060I
−0.76963 − 6.91366I 0
u = −0.826303 + 0.500457I
a = 1.49305 + 0.62863I
b = −1.000330 − 0.949949I
−0.81298 − 1.57306I 0
u = −0.826303 − 0.500457I
a = 1.49305 − 0.62863I
b = −1.000330 + 0.949949I
−0.81298 + 1.57306I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.930284 + 0.254180I
a = 0.998616 − 0.488365I
b = −0.664075 + 0.912474I
−0.38593 + 1.76929I 0
u = 0.930284 − 0.254180I
a = 0.998616 + 0.488365I
b = −0.664075 − 0.912474I
−0.38593 − 1.76929I 0
u = −0.898633 + 0.516167I
a = −0.60340 − 2.44721I
b = −1.08826 + 0.92073I
−1.06998 + 5.69980I 0
u = −0.898633 − 0.516167I
a = −0.60340 + 2.44721I
b = −1.08826 − 0.92073I
−1.06998 − 5.69980I 0
u = 0.560948 + 0.779853I
a = 0.731956 + 1.195910I
b = −0.595659 − 0.690517I
0.43167 + 1.73263I 0
u = 0.560948 − 0.779853I
a = 0.731956 − 1.195910I
b = −0.595659 + 0.690517I
0.43167 − 1.73263I 0
u = 1.033110 + 0.123064I
a = 1.059870 − 0.179354I
b = 0.922437 − 0.459297I
−2.24178 + 1.78905I 0
u = 1.033110 − 0.123064I
a = 1.059870 + 0.179354I
b = 0.922437 + 0.459297I
−2.24178 − 1.78905I 0
u = −0.831311 + 0.460358I
a = −0.664289 + 0.801812I
b = 0.652636 − 0.765992I
2.51745 + 0.76617I 0
u = −0.831311 − 0.460358I
a = −0.664289 − 0.801812I
b = 0.652636 + 0.765992I
2.51745 − 0.76617I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.862941 + 0.602584I
a = −0.23863 + 1.41189I
b = −0.693700 − 0.779435I
−0.40441 − 4.89013I 0
u = 0.862941 − 0.602584I
a = −0.23863 − 1.41189I
b = −0.693700 + 0.779435I
−0.40441 + 4.89013I 0
u = 0.725636 + 0.591320I
a = 0.871670 − 0.629506I
b = −0.459795 + 0.602011I
−0.0147121 + 0.0682797I 0
u = 0.725636 − 0.591320I
a = 0.871670 + 0.629506I
b = −0.459795 − 0.602011I
−0.0147121 − 0.0682797I 0
u = 0.887664 + 0.589588I
a = −1.20735 − 2.14295I
b = 0.879629 + 0.692664I
2.80012 − 8.55528I 0
u = 0.887664 − 0.589588I
a = −1.20735 + 2.14295I
b = 0.879629 − 0.692664I
2.80012 + 8.55528I 0
u = −0.516624 + 0.940358I
a = 0.40988 − 1.61323I
b = −0.613362 + 0.891946I
5.24057 − 7.32404I 0
u = −0.516624 − 0.940358I
a = 0.40988 + 1.61323I
b = −0.613362 − 0.891946I
5.24057 + 7.32404I 0
u = 0.569659 + 0.727782I
a = 0.968075 − 0.287809I
b = −0.713803 − 0.051834I
0.598697 + 0.714553I 0
u = 0.569659 − 0.727782I
a = 0.968075 + 0.287809I
b = −0.713803 + 0.051834I
0.598697 − 0.714553I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.115177 + 1.072180I
a = −0.123782 + 1.343500I
b = 0.752483 − 0.668716I
4.75781 + 2.09794I 0
u = 0.115177 − 1.072180I
a = −0.123782 − 1.343500I
b = 0.752483 + 0.668716I
4.75781 − 2.09794I 0
u = −0.741271 + 0.533819I
a = 1.08179 + 0.96471I
b = 0.554539 + 0.273850I
2.62137 + 2.52187I 0
u = −0.741271 − 0.533819I
a = 1.08179 − 0.96471I
b = 0.554539 − 0.273850I
2.62137 − 2.52187I 0
u = −1.066580 + 0.218214I
a = 1.70743 + 1.44159I
b = 1.003330 − 0.194292I
−8.84637 + 0.96973I 0
u = −1.066580 − 0.218214I
a = 1.70743 − 1.44159I
b = 1.003330 + 0.194292I
−8.84637 − 0.96973I 0
u = 0.984927 + 0.486064I
a = −0.65608 + 1.72958I
b = −1.197500 − 0.431898I
−2.16249 − 4.43464I 0
u = 0.984927 − 0.486064I
a = −0.65608 − 1.72958I
b = −1.197500 + 0.431898I
−2.16249 + 4.43464I 0
u = −0.894072 + 0.087314I
a = 1.58003 + 0.02822I
b = 1.071510 − 0.596786I
0.65212 + 7.13519I 0
u = −0.894072 − 0.087314I
a = 1.58003 − 0.02822I
b = 1.071510 + 0.596786I
0.65212 − 7.13519I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.105770 + 0.011522I
a = −0.246979 − 0.051448I
b = −0.484147 + 0.531407I
−5.19893 − 0.47938I 0
u = −1.105770 − 0.011522I
a = −0.246979 + 0.051448I
b = −0.484147 − 0.531407I
−5.19893 + 0.47938I 0
u = −0.951359 + 0.570532I
a = −0.730005 − 0.023077I
b = 0.481977 + 0.690534I
1.81719 + 3.20843I 0
u = −0.951359 − 0.570532I
a = −0.730005 + 0.023077I
b = 0.481977 − 0.690534I
1.81719 − 3.20843I 0
u = −0.306565 + 0.835713I
a = −0.433750 + 0.159578I
b = 1.158000 + 0.149980I
−1.86782 − 6.31057I 0
u = −0.306565 − 0.835713I
a = −0.433750 − 0.159578I
b = 1.158000 − 0.149980I
−1.86782 + 6.31057I 0
u = −1.056030 + 0.344774I
a = −0.811469 + 0.043475I
b = −1.110640 − 0.123459I
−3.62518 + 1.11514I 0
u = −1.056030 − 0.344774I
a = −0.811469 − 0.043475I
b = −1.110640 + 0.123459I
−3.62518 − 1.11514I 0
u = −0.491268 + 1.002510I
a = 0.60323 + 1.41024I
b = −1.072330 − 0.719237I
3.82528 − 13.28310I 0
u = −0.491268 − 1.002510I
a = 0.60323 − 1.41024I
b = −1.072330 + 0.719237I
3.82528 + 13.28310I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.792020 + 0.388662I
a = 0.21687 − 1.62463I
b = 1.006630 + 0.692777I
1.46834 − 4.76812I 0
u = −0.792020 − 0.388662I
a = 0.21687 + 1.62463I
b = 1.006630 − 0.692777I
1.46834 + 4.76812I 0
u = 1.022710 + 0.492451I
a = −0.57379 + 1.89405I
b = −1.158960 − 0.640463I
−2.15714 − 4.58322I 0
u = 1.022710 − 0.492451I
a = −0.57379 − 1.89405I
b = −1.158960 + 0.640463I
−2.15714 + 4.58322I 0
u = −0.881572 + 0.716802I
a = 0.094222 + 0.420241I
b = 0.587744 + 0.066837I
2.20673 + 2.73955I 0
u = −0.881572 − 0.716802I
a = 0.094222 − 0.420241I
b = 0.587744 − 0.066837I
2.20673 − 2.73955I 0
u = −0.542340 + 0.671516I
a = −0.232618 + 1.233450I
b = 0.690239 − 0.693270I
3.04926 + 1.49186I 0
u = −0.542340 − 0.671516I
a = −0.232618 − 1.233450I
b = 0.690239 + 0.693270I
3.04926 − 1.49186I 0
u = 0.288449 + 1.100650I
a = −0.476611 − 1.223120I
b = 0.928005 + 0.655043I
4.22559 − 3.04093I 0
u = 0.288449 − 1.100650I
a = −0.476611 + 1.223120I
b = 0.928005 − 0.655043I
4.22559 + 3.04093I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.006040 + 0.558030I
a = −0.593780 − 1.195060I
b = −0.285916 + 1.151110I
1.54322 + 7.46859I 0
u = −1.006040 − 0.558030I
a = −0.593780 + 1.195060I
b = −0.285916 − 1.151110I
1.54322 − 7.46859I 0
u = −0.852694 + 0.790262I
a = 1.21942 + 1.54580I
b = −0.834454 − 0.668822I
5.22377 + 0.45128I 0
u = −0.852694 − 0.790262I
a = 1.21942 − 1.54580I
b = −0.834454 + 0.668822I
5.22377 − 0.45128I 0
u = −1.037860 + 0.536300I
a = 1.22926 + 1.86599I
b = 1.051930 − 0.626147I
0.21554 + 8.31542I 0
u = −1.037860 − 0.536300I
a = 1.22926 − 1.86599I
b = 1.051930 + 0.626147I
0.21554 − 8.31542I 0
u = −0.883184 + 0.800610I
a = 0.51949 − 2.33474I
b = −0.874144 + 0.660405I
5.09967 + 5.59963I 0
u = −0.883184 − 0.800610I
a = 0.51949 + 2.33474I
b = −0.874144 − 0.660405I
5.09967 − 5.59963I 0
u = 0.987651 + 0.670354I
a = −1.236710 + 0.622231I
b = 0.593529 − 1.029230I
7.11697 − 6.28451I 0
u = 0.987651 − 0.670354I
a = −1.236710 − 0.622231I
b = 0.593529 + 1.029230I
7.11697 + 6.28451I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.196680 + 0.052257I
a = −1.195550 + 0.516743I
b = −0.998351 − 0.559733I
−6.59305 − 4.92954I 0
u = −1.196680 − 0.052257I
a = −1.195550 − 0.516743I
b = −0.998351 + 0.559733I
−6.59305 + 4.92954I 0
u = 0.440387 + 0.666012I
a = 0.341366 − 0.304582I
b = 1.041510 + 0.008108I
−4.67675 + 0.93022I 0
u = 0.440387 − 0.666012I
a = 0.341366 + 0.304582I
b = 1.041510 − 0.008108I
−4.67675 − 0.93022I 0
u = 1.057410 + 0.574781I
a = 0.888170 − 0.941572I
b = 1.124080 − 0.026846I
−6.45619 − 5.74720I 0
u = 1.057410 − 0.574781I
a = 0.888170 + 0.941572I
b = 1.124080 + 0.026846I
−6.45619 + 5.74720I 0
u = −0.365087 + 0.706066I
a = −0.430904 − 1.136980I
b = 0.963091 + 0.652339I
2.24095 − 3.70692I 0
u = −0.365087 − 0.706066I
a = −0.430904 + 1.136980I
b = 0.963091 − 0.652339I
2.24095 + 3.70692I 0
u = −0.915836 + 0.787133I
a = 1.35611 + 0.89539I
b = −0.835653 − 0.645485I
5.00880 + 0.41593I 0
u = −0.915836 − 0.787133I
a = 1.35611 − 0.89539I
b = −0.835653 + 0.645485I
5.00880 − 0.41593I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.951707 + 0.744263I
a = −0.24627 − 2.58132I
b = −0.868640 + 0.639271I
4.90622 + 5.42592I 0
u = −0.951707 − 0.744263I
a = −0.24627 + 2.58132I
b = −0.868640 − 0.639271I
4.90622 − 5.42592I 0
u = −0.927004 + 0.806925I
a = 0.031716 − 0.152386I
b = 0.678856 + 0.083156I
2.03155 + 2.81639I 0
u = −0.927004 − 0.806925I
a = 0.031716 + 0.152386I
b = 0.678856 − 0.083156I
2.03155 − 2.81639I 0
u = 1.041520 + 0.660714I
a = 0.263352 + 0.982891I
b = −0.566293 − 0.067504I
−0.79154 − 6.05539I 0
u = 1.041520 − 0.660714I
a = 0.263352 − 0.982891I
b = −0.566293 + 0.067504I
−0.79154 + 6.05539I 0
u = −0.547295 + 0.528936I
a = 1.33594 + 1.05849I
b = −0.125786 − 0.961890I
2.87276 − 2.98213I 0
u = −0.547295 − 0.528936I
a = 1.33594 − 1.05849I
b = −0.125786 + 0.961890I
2.87276 + 2.98213I 0
u = 1.037830 + 0.681322I
a = 0.59818 − 2.22506I
b = 1.126840 + 0.756715I
5.42664 − 12.72780I 0
u = 1.037830 − 0.681322I
a = 0.59818 + 2.22506I
b = 1.126840 − 0.756715I
5.42664 + 12.72780I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.055010 + 0.659601I
a = 1.174390 − 0.198664I
b = −0.540277 + 0.734008I
−1.04234 − 7.18358I 0
u = 1.055010 − 0.659601I
a = 1.174390 + 0.198664I
b = −0.540277 − 0.734008I
−1.04234 + 7.18358I 0
u = −0.740184
a = −2.64934
b = 0.662336
−6.93278 0
u = −1.122460 + 0.584418I
a = −0.377221 − 0.478588I
b = 0.449675 + 0.702664I
1.28964 + 3.08825I 0
u = −1.122460 − 0.584418I
a = −0.377221 + 0.478588I
b = 0.449675 − 0.702664I
1.28964 − 3.08825I 0
u = 1.089700 + 0.660771I
a = −0.95175 + 2.31640I
b = −1.044460 − 0.647731I
−2.50261 − 12.47390I 0
u = 1.089700 − 0.660771I
a = −0.95175 − 2.31640I
b = −1.044460 + 0.647731I
−2.50261 + 12.47390I 0
u = 0.689411 + 0.224881I
a = −3.90942 + 0.07327I
b = −0.719659 + 0.334319I
1.26734 + 2.22619I 0
u = 0.689411 − 0.224881I
a = −3.90942 − 0.07327I
b = −0.719659 − 0.334319I
1.26734 − 2.22619I 0
u = −1.134690 + 0.590773I
a = 0.542467 + 1.090910I
b = 1.276070 − 0.165270I
−4.29322 + 11.53980I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.134690 − 0.590773I
a = 0.542467 − 1.090910I
b = 1.276070 + 0.165270I
−4.29322 − 11.53980I 0
u = 1.276830 + 0.090214I
a = −0.143056 − 0.638524I
b = −0.437817 + 0.730600I
−1.82393 − 5.06035I 0
u = 1.276830 − 0.090214I
a = −0.143056 + 0.638524I
b = −0.437817 − 0.730600I
−1.82393 + 5.06035I 0
u = 1.274000 + 0.169712I
a = 0.872102 − 0.620200I
b = 1.162740 + 0.055348I
−7.15183 + 3.04097I 0
u = 1.274000 − 0.169712I
a = 0.872102 + 0.620200I
b = 1.162740 − 0.055348I
−7.15183 − 3.04097I 0
u = 1.200940 + 0.459666I
a = −0.817004 − 0.699552I
b = −0.694705 + 0.187364I
−1.07287 − 5.16618I 0
u = 1.200940 − 0.459666I
a = −0.817004 + 0.699552I
b = −0.694705 − 0.187364I
−1.07287 + 5.16618I 0
u = 0.510384 + 0.457807I
a = −0.25756 + 2.12054I
b = −0.941939 − 0.682938I
−0.66864 − 4.46154I −12.00000 + 6.34611I
u = 0.510384 − 0.457807I
a = −0.25756 − 2.12054I
b = −0.941939 + 0.682938I
−0.66864 + 4.46154I −12.00000 − 6.34611I
u = −1.124330 + 0.695783I
a = 1.086250 + 0.569823I
b = −0.589088 − 0.953259I
3.36656 + 13.30970I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.124330 − 0.695783I
a = 1.086250 − 0.569823I
b = −0.589088 + 0.953259I
3.36656 − 13.30970I 0
u = −0.684608 + 1.143640I
a = 0.457127 + 1.228960I
b = −0.792595 − 0.650036I
5.30903 + 1.27411I 0
u = −0.684608 − 1.143640I
a = 0.457127 − 1.228960I
b = −0.792595 + 0.650036I
5.30903 − 1.27411I 0
u = 0.359345 + 0.557401I
a = 1.20433 − 1.01092I
b = −0.847857 + 0.530595I
−0.328455 + 0.488355I −12.00000 + 0.I
u = 0.359345 − 0.557401I
a = 1.20433 + 1.01092I
b = −0.847857 − 0.530595I
−0.328455 − 0.488355I −12.00000 + 0.I
u = −1.157360 + 0.708554I
a = −0.60930 − 2.10440I
b = −1.106330 + 0.732461I
1.7558 + 19.4784I 0
u = −1.157360 − 0.708554I
a = −0.60930 + 2.10440I
b = −1.106330 − 0.732461I
1.7558 − 19.4784I 0
u = −1.258480 + 0.546486I
a = 0.72100 + 1.39173I
b = 1.060370 − 0.615194I
−0.42453 + 8.15719I 0
u = −1.258480 − 0.546486I
a = 0.72100 − 1.39173I
b = 1.060370 + 0.615194I
−0.42453 − 8.15719I 0
u = −0.516602 + 0.330660I
a = 0.889289 + 0.980939I
b = 0.268665 + 0.528134I
2.59542 + 2.42924I −8.98013 − 3.62235I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.516602 − 0.330660I
a = 0.889289 − 0.980939I
b = 0.268665 − 0.528134I
2.59542 − 2.42924I −8.98013 + 3.62235I
u = −0.821880 + 1.138330I
a = 0.22707 − 1.56704I
b = −0.902509 + 0.643069I
4.96870 + 6.31400I 0
u = −0.821880 − 1.138330I
a = 0.22707 + 1.56704I
b = −0.902509 − 0.643069I
4.96870 − 6.31400I 0
u = 1.42024 + 0.05698I
a = −0.583934 + 0.776544I
b = −1.059620 − 0.621021I
−3.55866 − 10.18710I 0
u = 1.42024 − 0.05698I
a = −0.583934 − 0.776544I
b = −1.059620 + 0.621021I
−3.55866 + 10.18710I 0
u = 0.273864 + 0.484795I
a = 1.55901 − 0.38548I
b = −1.007400 + 0.327231I
−0.400494 + 0.677706I −12.80709 − 0.70696I
u = 0.273864 − 0.484795I
a = 1.55901 + 0.38548I
b = −1.007400 − 0.327231I
−0.400494 − 0.677706I −12.80709 + 0.70696I
u = 1.23490 + 0.77502I
a = −0.585004 + 0.424050I
b = 0.824809 − 0.630248I
1.45052 − 3.65443I 0
u = 1.23490 − 0.77502I
a = −0.585004 − 0.424050I
b = 0.824809 + 0.630248I
1.45052 + 3.65443I 0
u = 1.30410 + 0.72200I
a = 0.63288 − 1.59942I
b = 0.880350 + 0.627594I
1.27526 − 8.58010I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.30410 − 0.72200I
a = 0.63288 + 1.59942I
b = 0.880350 − 0.627594I
1.27526 + 8.58010I 0
u = 0.395694
a = 0.906540
b = −0.287464
−0.606435 −16.2640
19
II. I
u
2
=
h11u
28
+2u
27
+· · · +b+1, 36u
28
−17u
27
+· · · +a+57, u
29
−u
28
+· · · +4u−1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
7
=
1
u
2
a
3
=
−36u
28
+ 17u
27
+ ··· + 160u − 57
−11u
28
− 2u
27
+ ··· + 25u − 1
a
12
=
−u
−u
3
+ u
a
2
=
−47u
28
+ 15u
27
+ ··· + 185u − 58
−11u
28
− 2u
27
+ ··· + 25u − 1
a
1
=
−4u
28
+ 2u
27
+ ··· + 23u − 15
−11u
28
+ 8u
27
+ ··· + 48u − 22
a
5
=
37u
28
− 9u
27
+ ··· − 133u + 27
u
28
+ 6u
27
+ ··· + 24u − 21
a
8
=
15u
28
− 11u
27
+ ··· − 67u + 38
21u
28
− 11u
27
+ ··· − 104u + 40
a
10
=
u
3
u
5
− u
3
+ u
a
4
=
35u
28
− 6u
27
+ ··· − 121u + 21
−7u
28
+ 9u
27
+ ··· + 57u − 30
a
9
=
2u
28
− u
27
+ ··· − 3u + 5
2u
28
− 2u
27
+ ··· − 20u + 11
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 17u
28
−36u
27
−111u
26
+165u
25
+563u
24
−477u
23
−1910u
22
+704u
21
+4831u
20
−138u
19
−
9268u
18
−2171u
17
+ 13804u
16
+ 6084u
15
−16217u
14
−9923u
13
+ 15170u
12
+ 11368u
11
−
11521u
10
−9679u
9
+7148u
8
+6204u
7
−3725u
6
−2909u
5
+1570u
4
+907u
3
−518u
2
−134u+79
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
29
− 13u
28
+ ··· + 13u − 1
c
2
u
29
− u
28
+ ··· + u − 1
c
3
u
29
+ 2u
27
+ ··· − 5u + 1
c
4
u
29
− 14u
27
+ ··· − 5u − 1
c
5
u
29
+ u
28
+ ··· + u + 1
c
6
u
29
− u
28
+ ··· + 4u − 1
c
7
u
29
+ 4u
28
+ ··· − 3u − 1
c
8
u
29
− 3u
28
+ ··· − 14u + 1
c
9
u
29
− 14u
27
+ ··· − 5u + 1
c
10
u
29
− 13u
28
+ ··· + 16u − 1
c
11
u
29
+ u
28
+ ··· + 4u + 1
c
12
u
29
+ 3u
28
+ ··· − 14u − 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
+ 19y
28
+ ··· − 15y −1
c
2
, c
5
y
29
− 13y
28
+ ··· + 13y −1
c
3
y
29
+ 4y
28
+ ··· + 9y −1
c
4
, c
9
y
29
− 28y
28
+ ··· + 39y −1
c
6
, c
11
y
29
− 13y
28
+ ··· + 16y −1
c
7
y
29
+ 4y
28
+ ··· + y −1
c
8
, c
12
y
29
+ 29y
28
+ ··· + 206y −1
c
10
y
29
+ 19y
28
+ ··· − 16y −1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.708682 + 0.706879I
a = −0.893787 − 0.356981I
b = −0.600078 + 0.325234I
2.84527 + 3.52178I −8.49470 − 9.09030I
u = −0.708682 − 0.706879I
a = −0.893787 + 0.356981I
b = −0.600078 − 0.325234I
2.84527 − 3.52178I −8.49470 + 9.09030I
u = 0.949439 + 0.344920I
a = −0.579561 + 0.469405I
b = −1.351550 + 0.183171I
−2.78666 − 1.34218I −1.86789 + 3.69651I
u = 0.949439 − 0.344920I
a = −0.579561 − 0.469405I
b = −1.351550 − 0.183171I
−2.78666 + 1.34218I −1.86789 − 3.69651I
u = −1.03450
a = 2.36502
b = 0.953608
−8.19679 −18.7970
u = −0.983441 + 0.423593I
a = −0.75928 − 1.90094I
b = −1.17965 + 0.82264I
−2.17144 + 5.33216I −19.6381 − 10.3026I
u = −0.983441 − 0.423593I
a = −0.75928 + 1.90094I
b = −1.17965 − 0.82264I
−2.17144 − 5.33216I −19.6381 + 10.3026I
u = −0.822395 + 0.367255I
a = 1.120940 + 0.216870I
b = −1.019350 − 0.952646I
−1.52479 − 2.08083I −20.4700 + 8.2994I
u = −0.822395 − 0.367255I
a = 1.120940 − 0.216870I
b = −1.019350 + 0.952646I
−1.52479 + 2.08083I −20.4700 − 8.2994I
u = 0.655207 + 0.510573I
a = 2.39911 − 0.66644I
b = −0.478636 + 0.543600I
2.09148 + 1.81545I −8.66489 + 0.00164I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.655207 − 0.510573I
a = 2.39911 + 0.66644I
b = −0.478636 − 0.543600I
2.09148 − 1.81545I −8.66489 − 0.00164I
u = 1.012860 + 0.607385I
a = −0.08121 + 1.62764I
b = −0.591641 − 0.751187I
0.81130 − 6.41559I −11.07367 + 6.84378I
u = 1.012860 − 0.607385I
a = −0.08121 − 1.62764I
b = −0.591641 + 0.751187I
0.81130 + 6.41559I −11.07367 − 6.84378I
u = −0.795960
a = −1.97044
b = 0.724069
−7.18752 −32.5700
u = −0.754306 + 0.938842I
a = −0.71440 − 1.58425I
b = 0.817156 + 0.626213I
4.56439 + 1.00837I −13.87215 − 0.84539I
u = −0.754306 − 0.938842I
a = −0.71440 + 1.58425I
b = 0.817156 − 0.626213I
4.56439 − 1.00837I −13.87215 + 0.84539I
u = −0.958095 + 0.780825I
a = −0.030445 − 0.207091I
b = −0.747918 − 0.239429I
2.06419 + 2.21482I −13.0850 + 7.8005I
u = −0.958095 − 0.780825I
a = −0.030445 + 0.207091I
b = −0.747918 + 0.239429I
2.06419 − 2.21482I −13.0850 − 7.8005I
u = −0.839978 + 0.958517I
a = −0.48533 + 1.91757I
b = 0.891083 − 0.623856I
4.32840 + 5.91057I −15.1269 − 5.5579I
u = −0.839978 − 0.958517I
a = −0.48533 − 1.91757I
b = 0.891083 + 0.623856I
4.32840 − 5.91057I −15.1269 + 5.5579I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.709941
a = −1.25201
b = −0.922509
−2.61653 −14.9460
u = 0.533138 + 0.376748I
a = −0.540364 + 0.961614I
b = 0.691869 + 0.647206I
2.76175 + 0.52093I −9.25074 − 1.95433I
u = 0.533138 − 0.376748I
a = −0.540364 − 0.961614I
b = 0.691869 − 0.647206I
2.76175 − 0.52093I −9.25074 + 1.95433I
u = 1.197150 + 0.620700I
a = −0.0244236 − 0.0063163I
b = 0.669209 − 0.498052I
0.18935 − 4.85552I −11.83979 + 3.81182I
u = 1.197150 − 0.620700I
a = −0.0244236 + 0.0063163I
b = 0.669209 + 0.498052I
0.18935 + 4.85552I −11.83979 − 3.81182I
u = 1.244970 + 0.518804I
a = 0.87656 − 1.16889I
b = 1.030430 + 0.560570I
−1.06350 − 9.22077I −14.6851 + 10.6039I
u = 1.244970 − 0.518804I
a = 0.87656 + 1.16889I
b = 1.030430 − 0.560570I
−1.06350 + 9.22077I −14.6851 − 10.6039I
u = 0.534383 + 0.287838I
a = 1.64090 + 1.27657I
b = 0.991488 − 0.654340I
1.82548 + 5.63846I −9.77497 − 8.05002I
u = 0.534383 − 0.287838I
a = 1.64090 − 1.27657I
b = 0.991488 + 0.654340I
1.82548 − 5.63846I −9.77497 + 8.05002I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
29
− 13u
28
+ ··· + 13u − 1)(u
142
+ 54u
141
+ ··· + 370442u + 6241)
c
2
(u
29
− u
28
+ ··· + u − 1)(u
142
+ 8u
141
+ ··· − 566u − 79)
c
3
(u
29
+ 2u
27
+ ··· − 5u + 1)(u
142
+ u
141
+ ··· + 16848u − 905)
c
4
(u
29
− 14u
27
+ ··· − 5u − 1)(u
142
− u
141
+ ··· + 10u
2
− 1)
c
5
(u
29
+ u
28
+ ··· + u + 1)(u
142
+ 8u
141
+ ··· − 566u − 79)
c
6
(u
29
− u
28
+ ··· + 4u − 1)(u
142
− 2u
141
+ ··· − 547u − 1007)
c
7
(u
29
+ 4u
28
+ ··· − 3u − 1)(u
142
− 3u
141
+ ··· − 8672u + 4937)
c
8
(u
29
− 3u
28
+ ··· − 14u + 1)(u
142
− 4u
141
+ ··· + 11237u + 289)
c
9
(u
29
− 14u
27
+ ··· − 5u + 1)(u
142
− u
141
+ ··· + 10u
2
− 1)
c
10
(u
29
− 13u
28
+ ··· + 16u − 1)
· (u
142
+ 58u
141
+ ··· + 38359781u + 1014049)
c
11
(u
29
+ u
28
+ ··· + 4u + 1)(u
142
− 2u
141
+ ··· − 547u − 1007)
c
12
(u
29
+ 3u
28
+ ··· − 14u − 1)(u
142
− 4u
141
+ ··· + 11237u + 289)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
29
+ 19y
28
+ ··· − 15y −1)
· (y
142
+ 82y
141
+ ··· − 5472163826y + 38950081)
c
2
, c
5
(y
29
− 13y
28
+ ··· + 13y −1)(y
142
− 54y
141
+ ··· − 370442y + 6241)
c
3
(y
29
+ 4y
28
+ ··· + 9y −1)
· (y
142
+ 27y
141
+ ··· − 80000234y + 819025)
c
4
, c
9
(y
29
− 28y
28
+ ··· + 39y −1)(y
142
− 89y
141
+ ··· − 20y + 1)
c
6
, c
11
(y
29
− 13y
28
+ ··· + 16y −1)
· (y
142
− 58y
141
+ ··· − 38359781y + 1014049)
c
7
(y
29
+ 4y
28
+ ··· + y −1)
· (y
142
+ 15y
141
+ ··· + 1536104854y + 24373969)
c
8
, c
12
(y
29
+ 29y
28
+ ··· + 206y −1)
· (y
142
+ 104y
141
+ ··· − 98905915y + 83521)
c
10
(y
29
+ 19y
28
+ ··· − 16y −1)
· (y
142
+ 66y
141
+ ··· + 28207829072127y + 1028295374401)
29
