12a
0678
(K12a
0678
)
A knot diagram
1
Linearized knot diagam
3 7 11 10 9 2 6 12 1 4 8 5
Solving Sequence
3,11 4,7
2 1 6 8 10 5 9 12
c
3
c
2
c
1
c
6
c
7
c
10
c
4
c
9
c
12
c
5
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.88041 × 10
309
u
112
+ 8.48809 × 10
308
u
111
+ ··· + 1.65652 × 10
311
b − 2.44967 × 10
311
,
3.34457 × 10
311
u
112
− 3.90481 × 10
311
u
111
+ ··· + 1.82217 × 10
312
a + 1.06215 × 10
313
,
u
113
− u
112
+ ··· + 15u + 11i
I
u
2
= h3u
22
+ 38u
20
+ ··· + b + 2, u
19
+ 11u
17
+ ··· + a + 1, u
24
+ 14u
22
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 137 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
= h2.88 × 10
309
u
112
+ 8.49 × 10
308
u
111
+ · · · + 1.66 × 10
311
b − 2.45 ×
10
311
, 3.34 × 10
311
u
112
− 3.90 × 10
311
u
111
+ · · · + 1.82 × 10
312
a + 1.06 ×
10
313
, u
113
− u
112
+ · · · + 15u + 11i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
−0.183549u
112
+ 0.214295u
111
+ ··· − 20.6174u − 5.82903
−0.0173884u
112
− 0.00512406u
111
+ ··· − 0.0536761u + 1.47881
a
2
=
0.132513u
112
− 0.169681u
111
+ ··· + 8.54221u + 0.737478
−0.0162259u
112
− 0.0501027u
111
+ ··· − 1.92847u − 0.675743
a
1
=
0.116287u
112
− 0.219784u
111
+ ··· + 6.61374u + 0.0617348
−0.0162259u
112
− 0.0501027u
111
+ ··· − 1.92847u − 0.675743
a
6
=
−0.0974973u
112
+ 0.157066u
111
+ ··· − 25.6173u − 11.7732
−0.00678329u
112
− 0.0287232u
111
+ ··· + 1.40250u + 2.02414
a
8
=
0.154016u
112
− 0.165009u
111
+ ··· − 12.0342u + 0.764893
0.0218718u
112
− 0.0968420u
111
+ ··· + 2.52686u − 1.37446
a
10
=
−u
u
3
+ u
a
5
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
−0.129130u
112
+ 0.113392u
111
+ ··· + 59.8830u − 2.07616
−0.0181661u
112
+ 0.0738493u
111
+ ··· − 7.90164u + 1.00539
a
12
=
0.125690u
112
− 0.165723u
111
+ ··· + 10.2798u + 0.288716
−0.00525691u
112
− 0.0914473u
111
+ ··· − 1.96487u − 1.01948
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.101122u
112
− 0.0898832u
111
+ ··· + 12.7383u − 7.53310
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
113
+ 39u
112
+ ··· − 216u + 1
c
2
, c
6
u
113
− u
112
+ ··· + 12u + 1
c
3
, c
4
, c
10
u
113
− u
112
+ ··· + 15u + 11
c
5
u
113
− 5u
112
+ ··· + 240u − 13
c
8
, c
11
u
113
− u
112
+ ··· − 2039u − 229
c
9
u
113
− 7u
112
+ ··· − 7067u − 2507
c
12
u
113
− 4u
112
+ ··· + 56403u + 23683
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
113
+ 81y
112
+ ··· − 11600y −1
c
2
, c
6
y
113
− 39y
112
+ ··· − 216y −1
c
3
, c
4
, c
10
y
113
+ 115y
112
+ ··· + 5989y −121
c
5
y
113
− 7y
112
+ ··· − 4228y −169
c
8
, c
11
y
113
− 81y
112
+ ··· − 193937y −52441
c
9
y
113
+ 17y
112
+ ··· − 196420401y −6285049
c
12
y
113
+ 40y
112
+ ··· − 26878017779y −560884489
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.904745 + 0.460220I
a = −0.96192 + 1.22457I
b = 0.688613 − 0.837945I
1.45825 − 7.28472I 0
u = −0.904745 − 0.460220I
a = −0.96192 − 1.22457I
b = 0.688613 + 0.837945I
1.45825 + 7.28472I 0
u = −0.296641 + 0.935465I
a = −0.044155 + 0.326319I
b = 0.936373 − 0.712759I
−0.50638 + 3.02045I 0
u = −0.296641 − 0.935465I
a = −0.044155 − 0.326319I
b = 0.936373 + 0.712759I
−0.50638 − 3.02045I 0
u = 1.017070 + 0.148681I
a = 0.88000 − 1.91335I
b = −0.948912 + 0.670284I
−0.82794 + 3.11768I 0
u = 1.017070 − 0.148681I
a = 0.88000 + 1.91335I
b = −0.948912 − 0.670284I
−0.82794 − 3.11768I 0
u = 0.717168 + 0.646184I
a = −0.113524 − 0.620470I
b = −1.064940 + 0.175863I
−5.34748 + 7.31945I 0
u = 0.717168 − 0.646184I
a = −0.113524 + 0.620470I
b = −1.064940 − 0.175863I
−5.34748 − 7.31945I 0
u = 0.961035 + 0.501171I
a = −0.130517 + 0.522604I
b = 0.966771 + 0.026860I
−4.61135 − 1.81073I 0
u = 0.961035 − 0.501171I
a = −0.130517 − 0.522604I
b = 0.966771 − 0.026860I
−4.61135 + 1.81073I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.952030 + 0.520069I
a = −0.15869 + 1.98165I
b = 1.021830 − 0.732336I
0.43907 + 13.15560I 0
u = 0.952030 − 0.520069I
a = −0.15869 − 1.98165I
b = 1.021830 + 0.732336I
0.43907 − 13.15560I 0
u = −0.889860 + 0.051884I
a = 0.84685 − 2.15997I
b = −0.758557 + 0.674541I
−0.23754 + 2.10414I 0
u = −0.889860 − 0.051884I
a = 0.84685 + 2.15997I
b = −0.758557 − 0.674541I
−0.23754 − 2.10414I 0
u = 0.257866 + 1.091200I
a = 0.369039 + 1.068280I
b = 0.794720 − 0.766604I
−0.07099 + 2.58407I 0
u = 0.257866 − 1.091200I
a = 0.369039 − 1.068280I
b = 0.794720 + 0.766604I
−0.07099 − 2.58407I 0
u = 0.040879 + 0.851393I
a = 0.554820 + 0.537590I
b = 0.497920 − 0.402888I
−0.94803 + 1.45359I 0
u = 0.040879 − 0.851393I
a = 0.554820 − 0.537590I
b = 0.497920 + 0.402888I
−0.94803 − 1.45359I 0
u = −0.672021 + 0.499691I
a = 0.39256 − 2.25417I
b = 0.946144 + 0.752331I
4.60985 − 7.30372I 0
u = −0.672021 − 0.499691I
a = 0.39256 + 2.25417I
b = 0.946144 − 0.752331I
4.60985 + 7.30372I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.700086 + 0.431320I
a = −1.28265 − 0.73113I
b = 0.794688 + 0.790567I
5.07217 + 1.49536I 0
u = 0.700086 − 0.431320I
a = −1.28265 + 0.73113I
b = 0.794688 − 0.790567I
5.07217 − 1.49536I 0
u = −0.872118 + 0.855001I
a = 0.02346 + 1.69483I
b = −0.735758 − 0.728083I
0.45892 + 1.35049I 0
u = −0.872118 − 0.855001I
a = 0.02346 − 1.69483I
b = −0.735758 + 0.728083I
0.45892 − 1.35049I 0
u = 0.485816 + 0.594222I
a = −0.00749 − 1.74016I
b = −0.885101 + 0.783586I
4.45524 + 2.73268I 0. − 3.15176I
u = 0.485816 − 0.594222I
a = −0.00749 + 1.74016I
b = −0.885101 − 0.783586I
4.45524 − 2.73268I 0. + 3.15176I
u = −0.030242 + 1.257560I
a = 0.746401 + 0.445817I
b = −0.810158 + 0.596598I
−4.05059 + 5.07742I 0
u = −0.030242 − 1.257560I
a = 0.746401 − 0.445817I
b = −0.810158 − 0.596598I
−4.05059 − 5.07742I 0
u = 0.976987 + 0.815948I
a = 0.603989 + 1.014990I
b = −0.967712 − 0.693262I
−0.24807 − 6.79516I 0
u = 0.976987 − 0.815948I
a = 0.603989 − 1.014990I
b = −0.967712 + 0.693262I
−0.24807 + 6.79516I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.371232 + 1.234750I
a = −1.049150 − 0.614323I
b = 0.823820 + 0.567682I
−4.28136 + 1.83518I 0
u = 0.371232 − 1.234750I
a = −1.049150 + 0.614323I
b = 0.823820 − 0.567682I
−4.28136 − 1.83518I 0
u = 0.205525 + 1.294310I
a = −0.525040 − 0.120923I
b = 0.517487 + 0.855851I
−1.15792 + 3.94082I 0
u = 0.205525 − 1.294310I
a = −0.525040 + 0.120923I
b = 0.517487 − 0.855851I
−1.15792 − 3.94082I 0
u = −0.542338 + 0.411411I
a = −0.401084 − 1.125040I
b = 0.137856 + 0.713210I
−1.38662 − 4.57794I −1.22877 + 7.27845I
u = −0.542338 − 0.411411I
a = −0.401084 + 1.125040I
b = 0.137856 − 0.713210I
−1.38662 + 4.57794I −1.22877 − 7.27845I
u = −0.151317 + 1.311120I
a = −0.059586 + 0.225984I
b = 0.646595 − 0.774177I
−0.628719 + 0.882092I 0
u = −0.151317 − 1.311120I
a = −0.059586 − 0.225984I
b = 0.646595 + 0.774177I
−0.628719 − 0.882092I 0
u = −0.657880 + 0.165084I
a = 0.38727 + 2.11810I
b = −1.030830 − 0.710764I
1.91904 − 6.54565I 0.15249 + 7.74575I
u = −0.657880 − 0.165084I
a = 0.38727 − 2.11810I
b = −1.030830 + 0.710764I
1.91904 + 6.54565I 0.15249 − 7.74575I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.660558 + 0.071886I
a = 1.05029 + 1.38972I
b = −0.654500 − 0.804124I
3.05428 + 0.83352I 3.15363 − 1.85468I
u = 0.660558 − 0.071886I
a = 1.05029 − 1.38972I
b = −0.654500 + 0.804124I
3.05428 − 0.83352I 3.15363 + 1.85468I
u = −0.085768 + 1.343410I
a = −1.273430 + 0.242185I
b = −1.232150 + 0.104849I
−7.13022 − 1.65816I 0
u = −0.085768 − 1.343410I
a = −1.273430 − 0.242185I
b = −1.232150 − 0.104849I
−7.13022 + 1.65816I 0
u = −0.021247 + 1.352070I
a = −0.061018 − 1.006550I
b = 0.944097 + 0.958398I
0.69979 − 3.48425I 0
u = −0.021247 − 1.352070I
a = −0.061018 + 1.006550I
b = 0.944097 − 0.958398I
0.69979 + 3.48425I 0
u = −0.394843 + 0.506930I
a = 1.39123 + 0.85496I
b = 0.0322998 + 0.0684716I
−1.69967 + 1.41298I −2.69092 + 1.91888I
u = −0.394843 − 0.506930I
a = 1.39123 − 0.85496I
b = 0.0322998 − 0.0684716I
−1.69967 − 1.41298I −2.69092 − 1.91888I
u = −0.454907 + 0.452677I
a = 0.674989 − 0.859764I
b = −0.875336 + 0.802718I
4.49627 + 3.20308I 3.48381 − 2.71288I
u = −0.454907 − 0.452677I
a = 0.674989 + 0.859764I
b = −0.875336 − 0.802718I
4.49627 − 3.20308I 3.48381 + 2.71288I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.025891 + 1.370390I
a = −1.57854 − 1.55814I
b = −0.922099 + 0.621408I
−4.43146 − 0.26971I 0
u = 0.025891 − 1.370390I
a = −1.57854 + 1.55814I
b = −0.922099 − 0.621408I
−4.43146 + 0.26971I 0
u = 0.192055 + 1.364200I
a = −0.313552 − 0.103035I
b = −0.047523 + 0.500321I
−3.93269 + 3.51055I 0
u = 0.192055 − 1.364200I
a = −0.313552 + 0.103035I
b = −0.047523 − 0.500321I
−3.93269 − 3.51055I 0
u = −0.223783 + 1.362090I
a = 1.06778 − 1.45403I
b = 1.103090 + 0.686311I
−2.90635 − 9.69009I 0
u = −0.223783 − 1.362090I
a = 1.06778 + 1.45403I
b = 1.103090 − 0.686311I
−2.90635 + 9.69009I 0
u = 0.051085 + 1.401210I
a = 0.956213 + 0.527542I
b = −0.726348 − 0.830235I
−4.93439 + 1.51922I 0
u = 0.051085 − 1.401210I
a = 0.956213 − 0.527542I
b = −0.726348 + 0.830235I
−4.93439 − 1.51922I 0
u = −0.34307 + 1.37543I
a = 0.81505 − 1.98309I
b = 0.919748 + 0.602453I
−4.62773 − 6.48376I 0
u = −0.34307 − 1.37543I
a = 0.81505 + 1.98309I
b = 0.919748 − 0.602453I
−4.62773 + 6.48376I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14168 + 1.41065I
a = −1.312970 + 0.160808I
b = −1.030060 + 0.151808I
−7.04105 − 1.22213I 0
u = −0.14168 − 1.41065I
a = −1.312970 − 0.160808I
b = −1.030060 − 0.151808I
−7.04105 + 1.22213I 0
u = −0.09186 + 1.42127I
a = −0.65316 + 1.99706I
b = −1.002910 − 0.741040I
−5.78801 − 7.40375I 0
u = −0.09186 − 1.42127I
a = −0.65316 − 1.99706I
b = −1.002910 + 0.741040I
−5.78801 + 7.40375I 0
u = 0.13179 + 1.42720I
a = 0.893354 + 1.063640I
b = 1.016350 − 0.700786I
−1.72012 + 4.71291I 0
u = 0.13179 − 1.42720I
a = 0.893354 − 1.063640I
b = 1.016350 + 0.700786I
−1.72012 − 4.71291I 0
u = 0.528952 + 0.199906I
a = 0.515752 + 0.734700I
b = −0.126164 − 0.482992I
1.042540 + 0.891885I 4.82385 − 2.40916I
u = 0.528952 − 0.199906I
a = 0.515752 − 0.734700I
b = −0.126164 + 0.482992I
1.042540 − 0.891885I 4.82385 + 2.40916I
u = −0.426785 + 0.361913I
a = −1.47979 + 1.51501I
b = −0.876462 − 0.236702I
−1.18174 − 3.41761I −4.69079 + 9.24081I
u = −0.426785 − 0.361913I
a = −1.47979 − 1.51501I
b = −0.876462 + 0.236702I
−1.18174 + 3.41761I −4.69079 − 9.24081I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.213521 + 0.506242I
a = −0.64097 + 2.67316I
b = −0.939614 − 0.003187I
−4.57467 − 1.42068I −13.6094 + 4.9351I
u = −0.213521 − 0.506242I
a = −0.64097 − 2.67316I
b = −0.939614 + 0.003187I
−4.57467 + 1.42068I −13.6094 − 4.9351I
u = −0.375046 + 0.372412I
a = 0.601261 − 0.124789I
b = 0.809904 − 0.222631I
−1.42108 + 0.71519I −5.82545 + 0.19565I
u = −0.375046 − 0.372412I
a = 0.601261 + 0.124789I
b = 0.809904 + 0.222631I
−1.42108 − 0.71519I −5.82545 − 0.19565I
u = −0.12762 + 1.47160I
a = 1.79595 − 0.33732I
b = 0.996530 + 0.109044I
−7.21611 − 5.34844I 0
u = −0.12762 − 1.47160I
a = 1.79595 + 0.33732I
b = 0.996530 − 0.109044I
−7.21611 + 5.34844I 0
u = −0.19466 + 1.47164I
a = −0.104695 + 0.611663I
b = −0.208324 − 0.922034I
−7.52691 − 7.29165I 0
u = −0.19466 − 1.47164I
a = −0.104695 − 0.611663I
b = −0.208324 + 0.922034I
−7.52691 + 7.29165I 0
u = 0.12039 + 1.48891I
a = −0.666920 + 0.517086I
b = −1.211290 − 0.462374I
−10.82210 + 2.23474I 0
u = 0.12039 − 1.48891I
a = −0.666920 − 0.517086I
b = −1.211290 + 0.462374I
−10.82210 − 2.23474I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.181944 + 0.469432I
a = −0.24373 − 1.67968I
b = 1.067010 + 0.341528I
−4.31911 + 0.78254I −10.68583 − 5.88091I
u = 0.181944 − 0.469432I
a = −0.24373 + 1.67968I
b = 1.067010 − 0.341528I
−4.31911 − 0.78254I −10.68583 + 5.88091I
u = −0.36540 + 1.45969I
a = −0.751434 + 0.808259I
b = 0.706121 − 0.835266I
−5.28759 − 2.55686I 0
u = −0.36540 − 1.45969I
a = −0.751434 − 0.808259I
b = 0.706121 + 0.835266I
−5.28759 + 2.55686I 0
u = 0.25240 + 1.49295I
a = 0.509936 + 0.096396I
b = −0.708804 − 0.788238I
−1.19353 + 4.97276I 0
u = 0.25240 − 1.49295I
a = 0.509936 − 0.096396I
b = −0.708804 + 0.788238I
−1.19353 − 4.97276I 0
u = −0.12259 + 1.51595I
a = −0.139504 − 0.730940I
b = 0.034177 + 0.612002I
−8.52350 − 0.38432I 0
u = −0.12259 − 1.51595I
a = −0.139504 + 0.730940I
b = 0.034177 − 0.612002I
−8.52350 + 0.38432I 0
u = −0.02787 + 1.54592I
a = 1.04039 − 1.08708I
b = 0.986192 + 0.176196I
−11.56620 − 2.19964I 0
u = −0.02787 − 1.54592I
a = 1.04039 + 1.08708I
b = 0.986192 − 0.176196I
−11.56620 + 2.19964I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.23679 + 1.52932I
a = −1.08706 + 1.48125I
b = −0.995781 − 0.716273I
−2.06596 − 10.65630I 0
u = −0.23679 − 1.52932I
a = −1.08706 − 1.48125I
b = −0.995781 + 0.716273I
−2.06596 + 10.65630I 0
u = −0.32764 + 1.51685I
a = 0.651085 − 0.461836I
b = −0.646761 + 0.913987I
−4.91899 − 11.73710I 0
u = −0.32764 − 1.51685I
a = 0.651085 + 0.461836I
b = −0.646761 − 0.913987I
−4.91899 + 11.73710I 0
u = 0.41783 + 1.50254I
a = 0.33474 + 1.75807I
b = 1.014610 − 0.734997I
−6.23858 + 8.43337I 0
u = 0.41783 − 1.50254I
a = 0.33474 − 1.75807I
b = 1.014610 + 0.734997I
−6.23858 − 8.43337I 0
u = 0.23570 + 1.54809I
a = 0.905985 + 0.631738I
b = 1.198460 − 0.189814I
−12.4981 + 10.7952I 0
u = 0.23570 − 1.54809I
a = 0.905985 − 0.631738I
b = 1.198460 + 0.189814I
−12.4981 − 10.7952I 0
u = −0.430266
a = −0.427186
b = 1.14910
−2.99666 7.78700
u = 0.34280 + 1.54819I
a = −0.69624 − 1.62668I
b = −1.070610 + 0.745576I
−6.2336 + 17.8576I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.34280 − 1.54819I
a = −0.69624 + 1.62668I
b = −1.070610 − 0.745576I
−6.2336 − 17.8576I 0
u = −0.105920 + 0.368031I
a = −0.081589 − 0.463280I
b = −0.900285 + 0.842913I
4.56165 + 3.13478I 7.99297 − 2.12005I
u = −0.105920 − 0.368031I
a = −0.081589 + 0.463280I
b = −0.900285 − 0.842913I
4.56165 − 3.13478I 7.99297 + 2.12005I
u = 0.25980 + 1.63227I
a = −0.756154 − 0.638597I
b = −1.023930 + 0.164476I
−11.95590 + 2.88693I 0
u = 0.25980 − 1.63227I
a = −0.756154 + 0.638597I
b = −1.023930 − 0.164476I
−11.95590 − 2.88693I 0
u = −0.01182 + 1.65339I
a = −0.799632 − 0.284408I
b = −0.873279 + 0.616368I
−9.49354 + 2.41623I 0
u = −0.01182 − 1.65339I
a = −0.799632 + 0.284408I
b = −0.873279 − 0.616368I
−9.49354 − 2.41623I 0
u = −0.261182 + 0.141542I
a = −3.15243 − 5.62350I
b = 0.945081 + 0.684762I
−0.53557 − 6.12044I −6.51011 + 10.79947I
u = −0.261182 − 0.141542I
a = −3.15243 + 5.62350I
b = 0.945081 − 0.684762I
−0.53557 + 6.12044I −6.51011 − 10.79947I
u = 0.05712 + 1.78672I
a = 0.279866 − 0.903270I
b = 0.884289 + 0.582545I
−10.00510 − 2.29209I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05712 − 1.78672I
a = 0.279866 + 0.903270I
b = 0.884289 − 0.582545I
−10.00510 + 2.29209I 0
u = 0.142278 + 0.056032I
a = −7.45713 − 8.09593I
b = 0.768860 + 0.696287I
0.008105 + 0.792111I −4.76837 − 5.29282I
u = 0.142278 − 0.056032I
a = −7.45713 + 8.09593I
b = 0.768860 − 0.696287I
0.008105 − 0.792111I −4.76837 + 5.29282I
16
II.
I
u
2
= h3u
22
+38u
20
+· · ·+b+2, u
19
+11u
17
+· · ·+a +1, u
24
+14u
22
+· · ·+2u+1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
7
=
−u
19
− 11u
17
+ ··· − 4u
2
− 1
−3u
22
− 38u
20
+ ··· − 6u − 2
a
2
=
2u
23
+ 27u
21
+ ··· + 5u + 2
−2u
23
− 26u
21
+ ··· − 4u − 1
a
1
=
u
21
+ 12u
19
+ ··· + u + 1
−2u
23
− 26u
21
+ ··· − 4u − 1
a
6
=
−u
6
− 4u
4
− 3u
2
+ 1
−u
23
− 3u
22
+ ··· − 6u − 3
a
8
=
−u
23
− 14u
21
+ ··· − 5u − 2
−u
23
+ u
22
+ ··· + 5u + 2
a
10
=
−u
u
3
+ u
a
5
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
−u
5
− 3u
3
− 2u
−u
23
+ u
22
+ ··· + 4u + 1
a
12
=
u
23
+ 14u
21
+ ··· + 4u + 2
−2u
23
− 26u
21
+ ··· − 3u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2u
23
− 17u
22
− 22u
21
− 210u
20
− 94u
19
− 1083u
18
− 200u
17
−
3016u
16
−258u
15
−4894u
14
−367u
13
−4706u
12
−656u
11
−2828u
10
−713u
9
−1478u
8
−
320u
7
− 839u
6
− 70u
5
− 250u
4
− 64u
3
− 29u
2
− 13u − 16
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 10u
23
+ ··· − 15u + 1
c
2
u
24
− 5u
22
+ ··· + u + 1
c
3
, c
4
u
24
+ 14u
22
+ ··· + 2u + 1
c
5
u
24
− 2u
23
+ ··· + 3u + 1
c
6
u
24
− 5u
22
+ ··· − u + 1
c
7
u
24
+ 10u
23
+ ··· + 15u + 1
c
8
u
24
+ 4u
23
+ ··· + 4u + 1
c
9
u
24
+ u
22
+ ··· − 2u + 1
c
10
u
24
+ 14u
22
+ ··· − 2u + 1
c
11
u
24
− 4u
23
+ ··· − 4u + 1
c
12
u
24
+ u
23
+ ··· + 6u
2
+ 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
24
+ 18y
23
+ ··· + 5y + 1
c
2
, c
6
y
24
− 10y
23
+ ··· − 15y + 1
c
3
, c
4
, c
10
y
24
+ 28y
23
+ ··· + 8y + 1
c
5
y
24
− 2y
23
+ ··· − 3y + 1
c
8
, c
11
y
24
− 24y
23
+ ··· − 22y + 1
c
9
y
24
+ 2y
23
+ ··· + 14y + 1
c
12
y
24
+ 9y
23
+ ··· + 12y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.014533 + 1.236720I
a = 0.153181 + 0.751856I
b = 0.924256 − 0.909871I
1.74155 + 3.33718I 1.37333 − 2.71643I
u = 0.014533 − 1.236720I
a = 0.153181 − 0.751856I
b = 0.924256 + 0.909871I
1.74155 − 3.33718I 1.37333 + 2.71643I
u = 0.587944 + 0.473918I
a = −0.35586 − 2.76777I
b = −0.789892 + 0.691932I
0.156212 + 0.133299I −3.40927 − 3.14502I
u = 0.587944 − 0.473918I
a = −0.35586 + 2.76777I
b = −0.789892 − 0.691932I
0.156212 − 0.133299I −3.40927 + 3.14502I
u = −0.624523 + 0.399144I
a = 1.76133 − 0.91632I
b = −0.935565 + 0.676214I
−0.30106 + 5.14667I −4.12583 − 3.24317I
u = −0.624523 − 0.399144I
a = 1.76133 + 0.91632I
b = −0.935565 − 0.676214I
−0.30106 − 5.14667I −4.12583 + 3.24317I
u = 0.153427 + 1.256270I
a = 0.386516 + 0.722554I
b = −0.494067 + 0.228756I
−4.91758 + 3.81805I −9.88337 − 3.57777I
u = 0.153427 − 1.256270I
a = 0.386516 − 0.722554I
b = −0.494067 − 0.228756I
−4.91758 − 3.81805I −9.88337 + 3.57777I
u = 0.239069 + 1.311440I
a = −1.134490 − 0.372910I
b = 0.701717 + 0.730628I
−2.99873 + 2.84510I −3.41822 − 3.05501I
u = 0.239069 − 1.311440I
a = −1.134490 + 0.372910I
b = 0.701717 − 0.730628I
−2.99873 − 2.84510I −3.41822 + 3.05501I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.109220 + 1.342840I
a = −1.47300 + 0.27515I
b = −1.154490 + 0.184449I
−7.58779 − 1.85770I −15.7813 + 6.7892I
u = −0.109220 − 1.342840I
a = −1.47300 − 0.27515I
b = −1.154490 − 0.184449I
−7.58779 + 1.85770I −15.7813 − 6.7892I
u = 0.364977 + 0.517927I
a = 2.12100 − 0.54472I
b = 0.634672 + 0.203587I
−2.18906 − 1.95260I −11.11537 + 5.99217I
u = 0.364977 − 0.517927I
a = 2.12100 + 0.54472I
b = 0.634672 − 0.203587I
−2.18906 + 1.95260I −11.11537 − 5.99217I
u = −0.245629 + 1.363790I
a = 0.86717 − 1.99434I
b = 1.006840 + 0.687146I
−3.94250 − 8.29295I −5.73432 + 7.42323I
u = −0.245629 − 1.363790I
a = 0.86717 + 1.99434I
b = 1.006840 − 0.687146I
−3.94250 + 8.29295I −5.73432 − 7.42323I
u = 0.031257 + 0.602155I
a = 0.30393 + 1.44825I
b = −0.909137 − 0.853718I
4.16160 − 3.16786I −12.45362 + 3.46009I
u = 0.031257 − 0.602155I
a = 0.30393 − 1.44825I
b = −0.909137 + 0.853718I
4.16160 + 3.16786I −12.45362 − 3.46009I
u = −0.355393 + 0.242419I
a = −1.57160 − 0.20685I
b = 0.999757 + 0.147710I
−3.63247 + 0.33581I −5.39190 − 0.48674I
u = −0.355393 − 0.242419I
a = −1.57160 + 0.20685I
b = 0.999757 − 0.147710I
−3.63247 − 0.33581I −5.39190 + 0.48674I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.03893 + 1.62612I
a = −0.619038 + 0.935434I
b = −0.849402 − 0.289272I
−10.98190 − 1.26132I −11.36572 − 2.32664I
u = −0.03893 − 1.62612I
a = −0.619038 − 0.935434I
b = −0.849402 + 0.289272I
−10.98190 + 1.26132I −11.36572 + 2.32664I
u = −0.01752 + 1.71543I
a = 0.560857 + 0.526854I
b = 0.865319 − 0.635324I
−8.98669 + 2.48240I 2.30562 − 4.73220I
u = −0.01752 − 1.71543I
a = 0.560857 − 0.526854I
b = 0.865319 + 0.635324I
−8.98669 − 2.48240I 2.30562 + 4.73220I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 10u
23
+ ··· − 15u + 1)(u
113
+ 39u
112
+ ··· − 216u + 1)
c
2
(u
24
− 5u
22
+ ··· + u + 1)(u
113
− u
112
+ ··· + 12u + 1)
c
3
, c
4
(u
24
+ 14u
22
+ ··· + 2u + 1)(u
113
− u
112
+ ··· + 15u + 11)
c
5
(u
24
− 2u
23
+ ··· + 3u + 1)(u
113
− 5u
112
+ ··· + 240u − 13)
c
6
(u
24
− 5u
22
+ ··· − u + 1)(u
113
− u
112
+ ··· + 12u + 1)
c
7
(u
24
+ 10u
23
+ ··· + 15u + 1)(u
113
+ 39u
112
+ ··· − 216u + 1)
c
8
(u
24
+ 4u
23
+ ··· + 4u + 1)(u
113
− u
112
+ ··· − 2039u − 229)
c
9
(u
24
+ u
22
+ ··· − 2u + 1)(u
113
− 7u
112
+ ··· − 7067u − 2507)
c
10
(u
24
+ 14u
22
+ ··· − 2u + 1)(u
113
− u
112
+ ··· + 15u + 11)
c
11
(u
24
− 4u
23
+ ··· − 4u + 1)(u
113
− u
112
+ ··· − 2039u − 229)
c
12
(u
24
+ u
23
+ ··· + 6u
2
+ 1)(u
113
− 4u
112
+ ··· + 56403u + 23683)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
24
+ 18y
23
+ ··· + 5y + 1)(y
113
+ 81y
112
+ ··· − 11600y −1)
c
2
, c
6
(y
24
− 10y
23
+ ··· − 15y + 1)(y
113
− 39y
112
+ ··· − 216y −1)
c
3
, c
4
, c
10
(y
24
+ 28y
23
+ ··· + 8y + 1)(y
113
+ 115y
112
+ ··· + 5989y −121)
c
5
(y
24
− 2y
23
+ ··· − 3y + 1)(y
113
− 7y
112
+ ··· − 4228y −169)
c
8
, c
11
(y
24
− 24y
23
+ ··· − 22y + 1)(y
113
− 81y
112
+ ··· − 193937y −52441)
c
9
(y
24
+ 2y
23
+ ··· + 14y + 1)
· (y
113
+ 17y
112
+ ··· − 196420401y −6285049)
c
12
(y
24
+ 9y
23
+ ··· + 12y + 1)
· (y
113
+ 40y
112
+ ··· − 26878017779y −560884489)
24
