12a
0783
(K12a
0783
)
A knot diagram
1
Linearized knot diagam
3 8 10 1 12 11 2 6 4 7 9 5
Solving Sequence
1,4 5,9
10 3 12 6 8 2 11 7
c
4
c
9
c
3
c
12
c
5
c
8
c
2
c
11
c
6
c
1
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.66774 × 10
316
u
116
− 4.81256 × 10
316
u
115
+ ··· + 3.09892 × 10
315
b − 8.67721 × 10
316
,
− 4.47324 × 10
316
u
116
+ 1.35366 × 10
317
u
115
+ ··· + 3.09892 × 10
315
a + 4.03023 × 10
317
,
u
117
− 3u
116
+ ··· − 33u + 1i
I
u
2
= h−1685u
23
− 3592u
22
+ ··· + 1939b + 1461, 337u
23
+ 663u
22
+ ··· + 277a + 151,
u
24
+ 2u
23
+ ··· + 6u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 141 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h1.67 × 10
316
u
116
− 4.81 × 10
316
u
115
+ · · · + 3.10 × 10
315
b − 8.68 ×
10
316
, −4.47 × 10
316
u
116
+ 1.35 × 10
317
u
115
+ · · · + 3.10 × 10
315
a + 4.03 ×
10
317
, u
117
− 3u
116
+ · · · − 33u + 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
14.4348u
116
− 43.6818u
115
+ ··· + 3655.33u − 130.053
−5.38168u
116
+ 15.5298u
115
+ ··· − 795.950u + 28.0008
a
10
=
9.05317u
116
− 28.1520u
115
+ ··· + 2859.38u − 102.052
−5.38168u
116
+ 15.5298u
115
+ ··· − 795.950u + 28.0008
a
3
=
18.3661u
116
− 51.0532u
115
+ ··· + 1634.41u − 43.2854
−1.27374u
116
+ 2.87521u
115
+ ··· + 377.420u − 16.6565
a
12
=
u
u
3
+ u
a
6
=
u
2
+ 1
u
4
+ 2u
2
a
8
=
10.0940u
116
− 30.7903u
115
+ ··· + 2861.66u − 100.955
−5.31587u
116
+ 15.3684u
115
+ ··· − 824.059u + 29.1264
a
2
=
23.3386u
116
− 66.6870u
115
+ ··· + 3567.43u − 123.462
4.20132u
116
− 12.3487u
115
+ ··· + 1036.39u − 37.7570
a
11
=
17.6230u
116
− 50.8082u
115
+ ··· + 3952.88u − 154.468
6.09960u
116
− 17.2854u
115
+ ··· + 682.688u − 21.1410
a
7
=
−27.0752u
116
+ 76.3531u
115
+ ··· − 3792.58u + 122.109
0.611424u
116
− 1.00040u
115
+ ··· − 120.824u + 4.62257
(ii) Obstruction class = −1
(iii) Cusp Shapes = 12.7365u
116
− 40.8301u
115
+ ··· + 4568.87u − 176.087
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
117
+ 53u
116
+ ··· + 10193283u + 534361
c
2
, c
7
u
117
+ u
116
+ ··· + 2625u + 731
c
3
, c
9
u
117
+ u
116
+ ··· − 3840u + 7424
c
4
, c
5
, c
12
u
117
− 3u
116
+ ··· − 33u + 1
c
6
, c
10
u
117
+ 43u
115
+ ··· + 49298u + 2983
c
8
u
117
− 8u
116
+ ··· − 336u + 32
c
11
u
117
− 3u
116
+ ··· + 76u − 3
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
117
+ 35y
116
+ ··· − 9546989252781y −285541678321
c
2
, c
7
y
117
− 53y
116
+ ··· + 10193283y −534361
c
3
, c
9
y
117
+ 75y
116
+ ··· − 1432518656y −55115776
c
4
, c
5
, c
12
y
117
+ 121y
116
+ ··· + 91y −1
c
6
, c
10
y
117
+ 86y
116
+ ··· − 304360514y −8898289
c
8
y
117
+ 22y
116
+ ··· − 63744y −1024
c
11
y
117
− 5y
116
+ ··· + 526y −9
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.823621 + 0.550525I
a = 0.879159 − 0.328519I
b = −0.467634 − 1.204290I
−3.41835 + 7.95463I 0
u = −0.823621 − 0.550525I
a = 0.879159 + 0.328519I
b = −0.467634 + 1.204290I
−3.41835 − 7.95463I 0
u = 0.894141 + 0.511446I
a = −0.780617 − 0.519456I
b = 0.58826 − 1.31392I
−5.7687 − 13.7661I 0
u = 0.894141 − 0.511446I
a = −0.780617 + 0.519456I
b = 0.58826 + 1.31392I
−5.7687 + 13.7661I 0
u = −0.884123 + 0.552686I
a = −0.507230 + 0.478718I
b = 0.427383 + 0.938946I
0.49446 + 2.31225I 0
u = −0.884123 − 0.552686I
a = −0.507230 − 0.478718I
b = 0.427383 − 0.938946I
0.49446 − 2.31225I 0
u = −0.884826 + 0.567387I
a = 0.382268 + 0.016594I
b = 0.213689 − 1.041540I
−3.41075 − 2.38257I 0
u = −0.884826 − 0.567387I
a = 0.382268 − 0.016594I
b = 0.213689 + 1.041540I
−3.41075 + 2.38257I 0
u = 0.903111 + 0.107618I
a = 0.570322 + 0.901913I
b = 0.071397 + 0.951586I
−2.61957 − 1.38881I 0
u = 0.903111 − 0.107618I
a = 0.570322 − 0.901913I
b = 0.071397 − 0.951586I
−2.61957 + 1.38881I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.543248 + 0.726897I
a = 0.023976 + 0.258840I
b = −0.482842 + 0.201823I
1.76136 + 3.29242I 0
u = −0.543248 − 0.726897I
a = 0.023976 − 0.258840I
b = −0.482842 − 0.201823I
1.76136 − 3.29242I 0
u = 0.109290 + 1.108720I
a = 0.049329 − 0.395592I
b = 0.292744 + 1.122070I
−0.596112 + 0.807380I 0
u = 0.109290 − 1.108720I
a = 0.049329 + 0.395592I
b = 0.292744 − 1.122070I
−0.596112 − 0.807380I 0
u = 0.514267 + 0.720818I
a = −0.464389 + 0.032530I
b = −0.09329 − 1.46240I
−8.74988 + 0.47669I 0
u = 0.514267 − 0.720818I
a = −0.464389 − 0.032530I
b = −0.09329 + 1.46240I
−8.74988 − 0.47669I 0
u = 1.033930 + 0.438997I
a = 0.423742 + 0.626882I
b = −0.406738 + 1.124730I
−0.83319 − 6.95313I 0
u = 1.033930 − 0.438997I
a = 0.423742 − 0.626882I
b = −0.406738 − 1.124730I
−0.83319 + 6.95313I 0
u = −0.335464 + 0.800015I
a = 0.72265 + 1.29877I
b = 0.060176 − 1.119970I
−1.45414 + 2.96537I 0
u = −0.335464 − 0.800015I
a = 0.72265 − 1.29877I
b = 0.060176 + 1.119970I
−1.45414 − 2.96537I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.927366 + 0.715486I
a = −0.396497 + 0.077797I
b = −0.424770 − 1.119600I
−5.27147 + 7.80861I 0
u = 0.927366 − 0.715486I
a = −0.396497 − 0.077797I
b = −0.424770 + 1.119600I
−5.27147 − 7.80861I 0
u = 0.179005 + 1.161270I
a = −0.014852 + 1.362400I
b = −0.34866 − 1.47737I
−2.10538 + 2.69369I 0
u = 0.179005 − 1.161270I
a = −0.014852 − 1.362400I
b = −0.34866 + 1.47737I
−2.10538 − 2.69369I 0
u = 0.686090 + 0.410531I
a = −1.52456 − 0.48044I
b = 0.208285 − 1.343460I
−9.63014 − 4.71202I 0
u = 0.686090 − 0.410531I
a = −1.52456 + 0.48044I
b = 0.208285 + 1.343460I
−9.63014 + 4.71202I 0
u = −0.731192 + 0.191208I
a = −0.529894 − 1.236080I
b = −0.488545 − 0.420301I
−3.04512 − 4.06095I 0
u = −0.731192 − 0.191208I
a = −0.529894 + 1.236080I
b = −0.488545 + 0.420301I
−3.04512 + 4.06095I 0
u = 0.183580 + 0.718841I
a = −0.293362 + 0.722372I
b = 0.503030 + 0.203505I
2.15124 + 1.14844I 0
u = 0.183580 − 0.718841I
a = −0.293362 − 0.722372I
b = 0.503030 − 0.203505I
2.15124 − 1.14844I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.402505 + 0.600498I
a = 0.073364 − 1.195060I
b = −0.704880 + 0.467391I
−2.29151 + 2.22633I 0
u = −0.402505 − 0.600498I
a = 0.073364 + 1.195060I
b = −0.704880 − 0.467391I
−2.29151 − 2.22633I 0
u = −0.510980 + 0.511223I
a = −0.329365 − 0.168857I
b = 1.145480 − 0.040555I
−1.89926 + 7.77304I 0
u = −0.510980 − 0.511223I
a = −0.329365 + 0.168857I
b = 1.145480 + 0.040555I
−1.89926 − 7.77304I 0
u = −0.031981 + 1.295900I
a = 1.91372 − 0.25329I
b = −0.004589 + 0.595418I
−0.49033 + 6.08864I 0
u = −0.031981 − 1.295900I
a = 1.91372 + 0.25329I
b = −0.004589 − 0.595418I
−0.49033 − 6.08864I 0
u = −0.631032 + 0.299385I
a = −0.577972 + 0.611171I
b = 0.979166 + 0.564250I
−3.34894 + 1.33915I 0
u = −0.631032 − 0.299385I
a = −0.577972 − 0.611171I
b = 0.979166 − 0.564250I
−3.34894 − 1.33915I 0
u = 0.005585 + 1.309210I
a = −1.47104 + 0.80161I
b = 0.333045 − 0.740450I
1.98828 + 1.89618I 0
u = 0.005585 − 1.309210I
a = −1.47104 − 0.80161I
b = 0.333045 + 0.740450I
1.98828 − 1.89618I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.154129 + 1.302490I
a = 2.25963 − 0.64816I
b = −1.18123 + 1.23666I
−1.44906 − 8.22432I 0
u = 0.154129 − 1.302490I
a = 2.25963 + 0.64816I
b = −1.18123 − 1.23666I
−1.44906 + 8.22432I 0
u = −0.650118 + 0.160046I
a = 0.434603 − 0.372811I
b = −0.487202 − 1.161570I
−3.58375 + 0.59174I 0
u = −0.650118 − 0.160046I
a = 0.434603 + 0.372811I
b = −0.487202 + 1.161570I
−3.58375 − 0.59174I 0
u = −0.172418 + 1.338520I
a = −1.67003 − 0.50766I
b = 0.91972 + 1.07639I
1.04521 + 3.50568I 0
u = −0.172418 − 1.338520I
a = −1.67003 + 0.50766I
b = 0.91972 − 1.07639I
1.04521 − 3.50568I 0
u = −0.297953 + 1.325140I
a = −0.970664 + 0.277028I
b = 0.481784 + 0.485463I
2.47338 + 2.95926I 0
u = −0.297953 − 1.325140I
a = −0.970664 − 0.277028I
b = 0.481784 − 0.485463I
2.47338 − 2.95926I 0
u = 0.101671 + 1.355120I
a = 1.32440 − 1.38228I
b = −0.65371 + 1.46359I
−3.00489 − 0.37587I 0
u = 0.101671 − 1.355120I
a = 1.32440 + 1.38228I
b = −0.65371 − 1.46359I
−3.00489 + 0.37587I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.521043 + 1.261250I
a = 0.576159 + 0.158488I
b = 0.151512 + 0.745889I
1.74357 + 0.70351I 0
u = 0.521043 − 1.261250I
a = 0.576159 − 0.158488I
b = 0.151512 − 0.745889I
1.74357 − 0.70351I 0
u = 0.042813 + 1.366880I
a = 0.01714 + 1.46662I
b = −0.16031 − 2.18447I
−3.54384 − 1.70880I 0
u = 0.042813 − 1.366880I
a = 0.01714 − 1.46662I
b = −0.16031 + 2.18447I
−3.54384 + 1.70880I 0
u = −0.322206 + 0.536631I
a = −1.016520 − 0.150138I
b = 0.304603 + 0.787145I
−0.33317 + 1.47731I −4.00000 − 3.46903I
u = −0.322206 − 0.536631I
a = −1.016520 + 0.150138I
b = 0.304603 − 0.787145I
−0.33317 − 1.47731I −4.00000 + 3.46903I
u = 0.189917 + 1.373320I
a = −1.95190 + 0.28181I
b = 0.718301 − 1.009000I
1.51558 − 6.19254I 0
u = 0.189917 − 1.373320I
a = −1.95190 − 0.28181I
b = 0.718301 + 1.009000I
1.51558 + 6.19254I 0
u = 0.285517 + 1.363260I
a = −1.49773 − 0.07523I
b = 0.295518 − 0.750349I
2.06044 − 5.45428I 0
u = 0.285517 − 1.363260I
a = −1.49773 + 0.07523I
b = 0.295518 + 0.750349I
2.06044 + 5.45428I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.067806 + 1.396920I
a = 0.835447 − 0.008036I
b = −0.26236 + 1.39556I
3.07434 − 3.88441I 0
u = 0.067806 − 1.396920I
a = 0.835447 + 0.008036I
b = −0.26236 − 1.39556I
3.07434 + 3.88441I 0
u = 0.000835 + 1.406560I
a = −1.346950 + 0.071829I
b = 0.425276 + 1.059150I
4.92018 − 2.05187I 0
u = 0.000835 − 1.406560I
a = −1.346950 − 0.071829I
b = 0.425276 − 1.059150I
4.92018 + 2.05187I 0
u = 0.571446 + 0.150027I
a = 0.98274 + 1.20657I
b = −0.519717 + 1.075700I
−3.33365 − 3.47759I −11.24105 + 4.72691I
u = 0.571446 − 0.150027I
a = 0.98274 − 1.20657I
b = −0.519717 − 1.075700I
−3.33365 + 3.47759I −11.24105 − 4.72691I
u = 0.589947 + 0.030203I
a = −0.393805 − 0.733976I
b = 0.75592 − 1.34795I
−5.52040 − 5.62216I −13.4525 + 5.1611I
u = 0.589947 − 0.030203I
a = −0.393805 + 0.733976I
b = 0.75592 + 1.34795I
−5.52040 + 5.62216I −13.4525 − 5.1611I
u = −0.23559 + 1.40990I
a = 1.89282 − 0.27860I
b = −1.213310 − 0.527341I
2.10227 + 4.48694I 0
u = −0.23559 − 1.40990I
a = 1.89282 + 0.27860I
b = −1.213310 + 0.527341I
2.10227 − 4.48694I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.05326 + 1.43162I
a = 1.62952 + 0.38146I
b = −0.630137 − 0.915075I
5.79734 + 2.20208I 0
u = −0.05326 − 1.43162I
a = 1.62952 − 0.38146I
b = −0.630137 + 0.915075I
5.79734 − 2.20208I 0
u = 0.10086 + 1.43008I
a = −1.83472 − 0.17438I
b = 0.494211 − 1.188990I
1.80679 − 7.97564I 0
u = 0.10086 − 1.43008I
a = −1.83472 + 0.17438I
b = 0.494211 + 1.188990I
1.80679 + 7.97564I 0
u = 0.392829 + 0.395363I
a = 0.972048 − 0.353878I
b = −0.862074 − 0.089310I
−0.01409 − 3.27867I −1.12600 + 4.52290I
u = 0.392829 − 0.395363I
a = 0.972048 + 0.353878I
b = −0.862074 + 0.089310I
−0.01409 + 3.27867I −1.12600 − 4.52290I
u = −0.526645
a = 0.170705
b = −0.396012
−1.22542 −7.59440
u = 0.14747 + 1.47198I
a = −1.60654 − 0.38950I
b = 1.256990 + 0.425301I
6.13929 − 5.31752I 0
u = 0.14747 − 1.47198I
a = −1.60654 + 0.38950I
b = 1.256990 − 0.425301I
6.13929 + 5.31752I 0
u = 0.23432 + 1.48664I
a = 1.68860 − 0.71078I
b = −0.352886 + 1.212040I
−3.44609 − 8.03987I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23432 − 1.48664I
a = 1.68860 + 0.71078I
b = −0.352886 − 1.212040I
−3.44609 + 8.03987I 0
u = −0.18985 + 1.49347I
a = 1.67005 − 0.47304I
b = −1.56712 + 0.24896I
4.61397 + 10.40970I 0
u = −0.18985 − 1.49347I
a = 1.67005 + 0.47304I
b = −1.56712 − 0.24896I
4.61397 − 10.40970I 0
u = −0.08394 + 1.52109I
a = 1.35057 + 0.74054I
b = −0.619107 − 0.668117I
6.46201 + 2.72953I 0
u = −0.08394 − 1.52109I
a = 1.35057 − 0.74054I
b = −0.619107 + 0.668117I
6.46201 − 2.72953I 0
u = 0.11844 + 1.53057I
a = 1.220390 + 0.284829I
b = −1.039580 − 0.406581I
9.51686 − 0.34246I 0
u = 0.11844 − 1.53057I
a = 1.220390 − 0.284829I
b = −1.039580 + 0.406581I
9.51686 + 0.34246I 0
u = −0.18396 + 1.53942I
a = −1.126870 + 0.247647I
b = 1.014630 − 0.185823I
9.06433 + 6.00935I 0
u = −0.18396 − 1.53942I
a = −1.126870 − 0.247647I
b = 1.014630 + 0.185823I
9.06433 − 6.00935I 0
u = −0.29207 + 1.53254I
a = 1.367380 + 0.203140I
b = −0.689755 − 1.149300I
7.22273 + 6.49045I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.29207 − 1.53254I
a = 1.367380 − 0.203140I
b = −0.689755 + 1.149300I
7.22273 − 6.49045I 0
u = −0.02699 + 1.56109I
a = −0.747730 + 0.563415I
b = 0.648365 − 0.091496I
4.92005 + 3.52483I 0
u = −0.02699 − 1.56109I
a = −0.747730 − 0.563415I
b = 0.648365 + 0.091496I
4.92005 − 3.52483I 0
u = 0.35127 + 1.52895I
a = −1.328450 + 0.150987I
b = 0.59330 − 1.30601I
5.54664 − 11.83250I 0
u = 0.35127 − 1.52895I
a = −1.328450 − 0.150987I
b = 0.59330 + 1.30601I
5.54664 + 11.83250I 0
u = 0.32370 + 1.53537I
a = 1.60596 − 0.34916I
b = −0.75234 + 1.41304I
0.8424 − 18.2009I 0
u = 0.32370 − 1.53537I
a = 1.60596 + 0.34916I
b = −0.75234 − 1.41304I
0.8424 + 18.2009I 0
u = −0.29178 + 1.54216I
a = −1.53508 − 0.42912I
b = 0.69158 + 1.25263I
3.37954 + 12.04530I 0
u = −0.29178 − 1.54216I
a = −1.53508 + 0.42912I
b = 0.69158 − 1.25263I
3.37954 − 12.04530I 0
u = −0.07201 + 1.58383I
a = −0.62713 − 1.46462I
b = 0.123823 + 0.804225I
6.50048 + 4.26640I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07201 − 1.58383I
a = −0.62713 + 1.46462I
b = 0.123823 − 0.804225I
6.50048 − 4.26640I 0
u = 0.50977 + 1.50725I
a = 0.719688 + 0.014267I
b = −0.271664 + 1.229580I
1.60592 − 4.30209I 0
u = 0.50977 − 1.50725I
a = 0.719688 − 0.014267I
b = −0.271664 − 1.229580I
1.60592 + 4.30209I 0
u = −0.40539 + 1.54997I
a = −0.758892 + 0.025602I
b = 0.544697 + 1.090190I
2.13920 + 0.58565I 0
u = −0.40539 − 1.54997I
a = −0.758892 − 0.025602I
b = 0.544697 − 1.090190I
2.13920 − 0.58565I 0
u = 0.264896 + 0.227741I
a = 2.32745 + 4.81945I
b = −0.438195 + 0.985028I
−3.68627 − 6.57641I −6.0906 + 14.4276I
u = 0.264896 − 0.227741I
a = 2.32745 − 4.81945I
b = −0.438195 − 0.985028I
−3.68627 + 6.57641I −6.0906 − 14.4276I
u = 0.004403 + 0.332582I
a = −2.88969 − 0.52513I
b = 0.347860 + 0.593700I
0.09627 + 1.61123I 1.73081 − 3.75080I
u = 0.004403 − 0.332582I
a = −2.88969 + 0.52513I
b = 0.347860 − 0.593700I
0.09627 − 1.61123I 1.73081 + 3.75080I
u = 0.257134 + 0.073353I
a = 2.25016 − 3.92424I
b = 0.143081 − 1.083750I
−1.81150 − 2.79938I −7.57775 + 3.29414I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.257134 − 0.073353I
a = 2.25016 + 3.92424I
b = 0.143081 + 1.083750I
−1.81150 + 2.79938I −7.57775 − 3.29414I
u = 0.198175 + 0.105985I
a = −2.62932 + 0.27342I
b = 0.23770 − 1.80775I
−7.87710 + 0.99471I −22.1666 + 2.1412I
u = 0.198175 − 0.105985I
a = −2.62932 − 0.27342I
b = 0.23770 + 1.80775I
−7.87710 − 0.99471I −22.1666 − 2.1412I
u = 0.1042850 + 0.0603552I
a = 8.64641 + 1.47836I
b = −0.230228 − 0.530376I
−0.01147 − 1.88319I −1.26035 + 0.85019I
u = 0.1042850 − 0.0603552I
a = 8.64641 − 1.47836I
b = −0.230228 + 0.530376I
−0.01147 + 1.88319I −1.26035 − 0.85019I
u = −0.14920 + 1.87935I
a = −0.073247 − 0.203177I
b = 0.079370 + 0.645887I
4.51367 + 2.88709I 0
u = −0.14920 − 1.87935I
a = −0.073247 + 0.203177I
b = 0.079370 − 0.645887I
4.51367 − 2.88709I 0
16
II. I
u
2
= h−1685u
23
− 3592u
22
+ · · · + 1939b + 1461, 337u
23
+ 663u
22
+ · · · +
277a + 151, u
24
+ 2u
23
+ · · · + 6u
2
+ 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
−1.21661u
23
− 2.39350u
22
+ ··· − 1.84477u − 0.545126
0.869005u
23
+ 1.85250u
22
+ ··· − 3.11088u − 0.753481
a
10
=
−0.347602u
23
− 0.541001u
22
+ ··· − 4.95565u − 1.29861
0.869005u
23
+ 1.85250u
22
+ ··· − 3.11088u − 0.753481
a
3
=
1.05260u
23
+ 1.68128u
22
+ ··· + 6.00516u − 0.453326
0.522434u
23
+ 3.42290u
22
+ ··· + 2.73749u − 0.825683
a
12
=
u
u
3
+ u
a
6
=
u
2
+ 1
u
4
+ 2u
2
a
8
=
−0.300155u
23
− 0.416710u
22
+ ··· − 3.97060u − 0.883961
2.11552u
23
+ 4.47653u
22
+ ··· − 1.94946u − 0.642599
a
2
=
−0.121712u
23
− 1.14492u
22
+ ··· + 4.12532u − 0.715833
−0.901496u
23
+ 0.638473u
22
+ ··· + 0.284167u − 0.878288
a
11
=
−0.143889u
23
+ 0.460031u
22
+ ··· − 0.661166u + 0.916452
u
21
+ 2u
20
+ ··· − u
3
+ 4u
a
7
=
−0.406395u
23
− 0.890665u
22
+ ··· − 1.78494u + 1.79629
−0.777205u
23
+ 0.0618876u
22
+ ··· − 1.33110u + 2.90356
(ii) Obstruction class = 1
(iii) Cusp Shapes =
4066
1939
u
23
+
18365
1939
u
22
+ ··· +
26328
1939
u +
10242
1939
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 12u
23
+ ··· − 16u + 1
c
2
u
24
− 6u
22
+ ··· − 8u
2
+ 1
c
3
u
24
+ 12u
22
+ ··· + 10u
2
+ 1
c
4
, c
5
u
24
+ 2u
23
+ ··· + 6u
2
+ 1
c
6
u
24
+ u
23
+ ··· − 3u + 1
c
7
u
24
− 6u
22
+ ··· − 8u
2
+ 1
c
8
u
24
+ u
23
+ ··· + u + 1
c
9
u
24
+ 12u
22
+ ··· + 10u
2
+ 1
c
10
u
24
− u
23
+ ··· + 3u + 1
c
11
u
24
+ 8u
23
+ ··· + u + 1
c
12
u
24
− 2u
23
+ ··· + 6u
2
+ 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
+ 12y
23
+ ··· + 4y + 1
c
2
, c
7
y
24
− 12y
23
+ ··· − 16y + 1
c
3
, c
9
y
24
+ 24y
23
+ ··· + 20y + 1
c
4
, c
5
, c
12
y
24
+ 30y
23
+ ··· + 12y + 1
c
6
, c
10
y
24
+ 23y
23
+ ··· + 5y + 1
c
8
y
24
+ 11y
23
+ ··· + 19y + 1
c
11
y
24
− 8y
23
+ ··· + y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.113131 + 1.085500I
a = 0.484006 − 0.820118I
b = 0.106785 + 1.115640I
−0.13509 + 1.91473I −3.80538 − 3.43701I
u = 0.113131 − 1.085500I
a = 0.484006 + 0.820118I
b = 0.106785 − 1.115640I
−0.13509 − 1.91473I −3.80538 + 3.43701I
u = 0.010909 + 1.291100I
a = −0.50635 + 1.75639I
b = 0.16121 − 2.04902I
−4.33106 + 0.97717I −11.27303 − 0.03325I
u = 0.010909 − 1.291100I
a = −0.50635 − 1.75639I
b = 0.16121 + 2.04902I
−4.33106 − 0.97717I −11.27303 + 0.03325I
u = −0.693546 + 0.049578I
a = −0.394521 + 0.989180I
b = 0.353132 + 0.546489I
−1.34198 + 2.02611I −4.30842 − 3.95442I
u = −0.693546 − 0.049578I
a = −0.394521 − 0.989180I
b = 0.353132 − 0.546489I
−1.34198 − 2.02611I −4.30842 + 3.95442I
u = 0.296105 + 1.280590I
a = 1.197840 + 0.144804I
b = −0.357670 + 1.170760I
0.49269 − 4.35200I −6.56880 + 4.28514I
u = 0.296105 − 1.280590I
a = 1.197840 − 0.144804I
b = −0.357670 − 1.170760I
0.49269 + 4.35200I −6.56880 − 4.28514I
u = 0.126979 + 1.360070I
a = −2.38874 + 0.15858I
b = 0.732031 − 0.898763I
0.26842 − 7.65945I −5.23747 + 7.87875I
u = 0.126979 − 1.360070I
a = −2.38874 − 0.15858I
b = 0.732031 + 0.898763I
0.26842 + 7.65945I −5.23747 − 7.87875I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.228171 + 1.357130I
a = 1.75150 − 0.37320I
b = −0.824161 − 0.397988I
3.21586 + 5.18507I 1.57369 − 4.91800I
u = −0.228171 − 1.357130I
a = 1.75150 + 0.37320I
b = −0.824161 + 0.397988I
3.21586 − 5.18507I 1.57369 + 4.91800I
u = −0.326108 + 0.518250I
a = −1.45239 − 1.26861I
b = 0.013207 + 0.685604I
0.01839 + 2.78521I −0.48950 − 8.10627I
u = −0.326108 − 0.518250I
a = −1.45239 + 1.26861I
b = 0.013207 − 0.685604I
0.01839 − 2.78521I −0.48950 + 8.10627I
u = −0.45169 + 1.35811I
a = −0.764534 + 0.286125I
b = 0.503902 + 0.904770I
1.87501 + 1.10922I −2.95798 − 5.93787I
u = −0.45169 − 1.35811I
a = −0.764534 − 0.286125I
b = 0.503902 − 0.904770I
1.87501 − 1.10922I −2.95798 + 5.93787I
u = −0.07790 + 1.54958I
a = 0.75737 + 1.32249I
b = −0.151808 − 0.540193I
7.04082 + 4.09558I 7.34529 − 3.32752I
u = −0.07790 − 1.54958I
a = 0.75737 − 1.32249I
b = −0.151808 + 0.540193I
7.04082 − 4.09558I 7.34529 + 3.32752I
u = 0.390247 + 0.175349I
a = −1.64397 − 2.64413I
b = −0.496968 − 0.905233I
−3.89298 + 5.95215I −9.80137 − 3.18285I
u = 0.390247 − 0.175349I
a = −1.64397 + 2.64413I
b = −0.496968 + 0.905233I
−3.89298 − 5.95215I −9.80137 + 3.18285I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.040143 + 0.387273I
a = −0.807008 + 0.242917I
b = −0.14881 − 1.75983I
−7.58139 − 1.13756I 0.76901 + 8.80189I
u = 0.040143 − 0.387273I
a = −0.807008 − 0.242917I
b = −0.14881 + 1.75983I
−7.58139 + 1.13756I 0.76901 − 8.80189I
u = −0.20010 + 1.81273I
a = −0.233224 − 0.344620I
b = 0.109145 + 0.698413I
4.37131 + 3.02945I −12.7461 − 16.4628I
u = −0.20010 − 1.81273I
a = −0.233224 + 0.344620I
b = 0.109145 − 0.698413I
4.37131 − 3.02945I −12.7461 + 16.4628I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 12u
23
+ ··· − 16u + 1)
· (u
117
+ 53u
116
+ ··· + 10193283u + 534361)
c
2
(u
24
− 6u
22
+ ··· − 8u
2
+ 1)(u
117
+ u
116
+ ··· + 2625u + 731)
c
3
(u
24
+ 12u
22
+ ··· + 10u
2
+ 1)(u
117
+ u
116
+ ··· − 3840u + 7424)
c
4
, c
5
(u
24
+ 2u
23
+ ··· + 6u
2
+ 1)(u
117
− 3u
116
+ ··· − 33u + 1)
c
6
(u
24
+ u
23
+ ··· − 3u + 1)(u
117
+ 43u
115
+ ··· + 49298u + 2983)
c
7
(u
24
− 6u
22
+ ··· − 8u
2
+ 1)(u
117
+ u
116
+ ··· + 2625u + 731)
c
8
(u
24
+ u
23
+ ··· + u + 1)(u
117
− 8u
116
+ ··· − 336u + 32)
c
9
(u
24
+ 12u
22
+ ··· + 10u
2
+ 1)(u
117
+ u
116
+ ··· − 3840u + 7424)
c
10
(u
24
− u
23
+ ··· + 3u + 1)(u
117
+ 43u
115
+ ··· + 49298u + 2983)
c
11
(u
24
+ 8u
23
+ ··· + u + 1)(u
117
− 3u
116
+ ··· + 76u − 3)
c
12
(u
24
− 2u
23
+ ··· + 6u
2
+ 1)(u
117
− 3u
116
+ ··· − 33u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
24
+ 12y
23
+ ··· + 4y + 1)
· (y
117
+ 35y
116
+ ··· − 9546989252781y − 285541678321)
c
2
, c
7
(y
24
− 12y
23
+ ··· − 16y + 1)
· (y
117
− 53y
116
+ ··· + 10193283y − 534361)
c
3
, c
9
(y
24
+ 24y
23
+ ··· + 20y + 1)
· (y
117
+ 75y
116
+ ··· − 1432518656y − 55115776)
c
4
, c
5
, c
12
(y
24
+ 30y
23
+ ··· + 12y + 1)(y
117
+ 121y
116
+ ··· + 91y − 1)
c
6
, c
10
(y
24
+ 23y
23
+ ··· + 5y + 1)
· (y
117
+ 86y
116
+ ··· − 304360514y − 8898289)
c
8
(y
24
+ 11y
23
+ ··· + 19y + 1)(y
117
+ 22y
116
+ ··· − 63744y − 1024)
c
11
(y
24
− 8y
23
+ ··· + y + 1)(y
117
− 5y
116
+ ··· + 526y − 9)
24
