12a
0966
(K12a
0966
)
A knot diagram
1
Linearized knot diagam
4 6 10 1 8 3 11 12 2 7 5 9
Solving Sequence
7,11 3,8
6 2 5 12 10 4 1 9
c
7
c
6
c
2
c
5
c
11
c
10
c
3
c
1
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.56009 × 10
774
u
144
− 4.93211 × 10
774
u
143
+ ··· + 1.27336 × 10
777
b − 7.55766 × 10
778
,
7.70525 × 10
778
u
144
+ 1.46879 × 10
779
u
143
+ ··· + 2.51680 × 10
781
a + 2.16461 × 10
783
,
u
145
+ 3u
144
+ ··· + 45520u + 31624i
I
u
2
= h2.15856 × 10
34
u
36
− 4.92672 × 10
34
u
35
+ ··· + 6.17494 × 10
32
b + 7.43093 × 10
34
,
− 1.17912 × 10
35
u
36
+ 2.70674 × 10
35
u
35
+ ··· + 6.17494 × 10
32
a − 3.94814 × 10
35
,
u
37
− 2u
36
+ ··· + 10u + 1i
* 2 irreducible components of dim
C
= 0, with total 182 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−2.56 × 10
774
u
144
− 4.93 × 10
774
u
143
+ · · · + 1.27 × 10
777
b − 7.56 ×
10
778
, 7.71 × 10
778
u
144
+ 1.47 × 10
779
u
143
+ · · · + 2.52 × 10
781
a + 2.16 ×
10
783
, u
145
+ 3u
144
+ · · · + 45520u + 31624i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
−0.00306152u
144
− 0.00583593u
143
+ ··· − 54.0993u − 86.0064
0.00201049u
144
+ 0.00387329u
143
+ ··· + 27.7562u + 59.3519
a
8
=
1
−u
2
a
6
=
−0.00456419u
144
− 0.00868214u
143
+ ··· − 78.8377u − 129.918
0.00349042u
144
+ 0.00666788u
143
+ ··· + 48.4215u + 101.046
a
2
=
−0.00105920u
144
− 0.00215403u
143
+ ··· − 11.3100u − 29.7437
0.00177943u
144
+ 0.00349630u
143
+ ··· + 30.1124u + 55.7141
a
5
=
−0.00251406u
144
− 0.00483637u
143
+ ··· − 43.5228u − 72.5143
0.000909316u
144
+ 0.00183026u
143
+ ··· + 8.34863u + 28.1649
a
12
=
−0.00500728u
144
− 0.00958862u
143
+ ··· − 81.4466u − 146.050
0.00703064u
144
+ 0.0135010u
143
+ ··· + 106.729u + 203.503
a
10
=
−u
u
a
4
=
−0.00166098u
144
− 0.00325291u
143
+ ··· − 33.1480u − 48.3599
0.000609948u
144
+ 0.00129027u
143
+ ··· + 6.80493u + 21.7054
a
1
=
−0.00143737u
144
− 0.00285119u
143
+ ··· − 12.1245u − 38.8485
0.00199037u
144
+ 0.00385952u
143
+ ··· + 30.0882u + 59.1760
a
9
=
0.00649305u
144
+ 0.0125521u
143
+ ··· + 83.6514u + 190.049
−0.00867309u
144
− 0.0167045u
143
+ ··· − 122.458u − 250.360
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0461581u
144
+ 0.0859078u
143
+ ··· + 728.816u + 1313.22
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
145
− 10u
144
+ ··· − 5940u + 449
c
2
, c
6
u
145
− 3u
144
+ ··· + 467400u − 213397
c
3
u
145
+ u
144
+ ··· − 1175510402u + 376846879
c
5
u
145
+ 13u
144
+ ··· + 43u + 1
c
7
, c
10
u
145
− 3u
144
+ ··· + 45520u − 31624
c
8
, c
12
u
145
− 47u
143
+ ··· − 910u + 31
c
9
u
145
− 3u
144
+ ··· + 64828u + 97949
c
11
u
145
+ 2u
144
+ ··· − 2298u + 229
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
145
+ 108y
144
+ ··· + 3274390y −201601
c
2
, c
6
y
145
− 95y
144
+ ··· + 820020367120y −45538279609
c
3
y
145
+ 59y
144
+ ··· − 6.17 × 10
18
y −1.42 × 10
17
c
5
y
145
+ 3y
144
+ ··· + 517y −1
c
7
, c
10
y
145
− 121y
144
+ ··· + 10721993376y −1000077376
c
8
, c
12
y
145
− 94y
144
+ ··· + 537754y −961
c
9
y
145
+ 9y
144
+ ··· − 357137656050y −9594006601
c
11
y
145
+ 28y
144
+ ··· − 3337382y −52441
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.432137 + 0.929071I
a = 0.247856 − 0.672877I
b = −0.607437 − 0.431087I
−1.50937 − 2.56558I 0
u = 0.432137 − 0.929071I
a = 0.247856 + 0.672877I
b = −0.607437 + 0.431087I
−1.50937 + 2.56558I 0
u = 0.991744 + 0.289105I
a = −0.592041 − 0.027853I
b = 0.634555 + 0.969010I
0.41359 + 3.40332I 0
u = 0.991744 − 0.289105I
a = −0.592041 + 0.027853I
b = 0.634555 − 0.969010I
0.41359 − 3.40332I 0
u = 1.03384
a = 1.47451
b = −0.587025
−2.17833 0
u = 0.149129 + 1.045970I
a = 0.276971 − 0.214020I
b = −1.271740 + 0.272259I
2.86533 − 2.84293I 0
u = 0.149129 − 1.045970I
a = 0.276971 + 0.214020I
b = −1.271740 − 0.272259I
2.86533 + 2.84293I 0
u = 0.402800 + 0.979557I
a = 0.537460 − 0.320233I
b = −1.087970 − 0.500347I
−3.43730 + 7.78539I 0
u = 0.402800 − 0.979557I
a = 0.537460 + 0.320233I
b = −1.087970 + 0.500347I
−3.43730 − 7.78539I 0
u = −1.039170 + 0.257462I
a = 0.187116 − 0.253724I
b = 0.138445 − 0.388984I
1.80222 − 1.09093I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.039170 − 0.257462I
a = 0.187116 + 0.253724I
b = 0.138445 + 0.388984I
1.80222 + 1.09093I 0
u = −0.381911 + 1.002350I
a = 0.238783 + 0.567284I
b = −1.232410 − 0.366256I
2.32411 + 4.31465I 0
u = −0.381911 − 1.002350I
a = 0.238783 − 0.567284I
b = −1.232410 + 0.366256I
2.32411 − 4.31465I 0
u = −1.080430 + 0.017548I
a = −0.456845 − 0.597509I
b = 0.37817 + 1.47138I
−1.37218 + 2.69986I 0
u = −1.080430 − 0.017548I
a = −0.456845 + 0.597509I
b = 0.37817 − 1.47138I
−1.37218 − 2.69986I 0
u = −0.732863 + 0.518690I
a = 1.199190 − 0.622697I
b = −0.177234 + 0.625707I
−1.034490 + 0.537752I 0
u = −0.732863 − 0.518690I
a = 1.199190 + 0.622697I
b = −0.177234 − 0.625707I
−1.034490 − 0.537752I 0
u = 0.886943 + 0.068598I
a = −2.26071 + 0.57400I
b = 1.021750 − 0.324888I
1.22023 − 3.51637I 0
u = 0.886943 − 0.068598I
a = −2.26071 − 0.57400I
b = 1.021750 + 0.324888I
1.22023 + 3.51637I 0
u = −1.13193
a = −3.43344
b = 1.13104
3.81621 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.273319 + 0.811271I
a = 0.896255 + 1.017420I
b = −0.839346 + 0.550520I
−1.00479 − 6.66392I 0
u = 0.273319 − 0.811271I
a = 0.896255 − 1.017420I
b = −0.839346 − 0.550520I
−1.00479 + 6.66392I 0
u = −0.347323 + 1.094070I
a = 0.538236 + 0.260578I
b = −1.041790 + 0.280004I
1.20505 − 3.57769I 0
u = −0.347323 − 1.094070I
a = 0.538236 − 0.260578I
b = −1.041790 − 0.280004I
1.20505 + 3.57769I 0
u = 0.292275 + 0.792638I
a = 0.320226 + 0.396084I
b = 0.920455 + 0.417485I
−2.99660 + 1.39102I 0
u = 0.292275 − 0.792638I
a = 0.320226 − 0.396084I
b = 0.920455 − 0.417485I
−2.99660 − 1.39102I 0
u = −1.168920 + 0.064116I
a = −2.87834 + 0.11170I
b = 1.102830 + 0.016813I
3.71741 − 0.14086I 0
u = −1.168920 − 0.064116I
a = −2.87834 − 0.11170I
b = 1.102830 − 0.016813I
3.71741 + 0.14086I 0
u = −0.149563 + 0.802553I
a = −0.933196 + 0.879312I
b = 0.217325 + 0.403873I
2.66849 − 2.92410I 0
u = −0.149563 − 0.802553I
a = −0.933196 − 0.879312I
b = 0.217325 − 0.403873I
2.66849 + 2.92410I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.194598 + 1.169750I
a = −0.373847 + 0.251540I
b = 1.169130 − 0.018165I
3.29951 − 2.40492I 0
u = −0.194598 − 1.169750I
a = −0.373847 − 0.251540I
b = 1.169130 + 0.018165I
3.29951 + 2.40492I 0
u = −0.799508 + 0.132155I
a = 1.037660 + 0.001514I
b = 0.723394 − 0.126628I
2.31491 − 0.53337I 0
u = −0.799508 − 0.132155I
a = 1.037660 − 0.001514I
b = 0.723394 + 0.126628I
2.31491 + 0.53337I 0
u = 1.181860 + 0.154851I
a = 0.596951 + 0.002605I
b = −0.82914 − 1.15633I
0.46658 + 3.93656I 0
u = 1.181860 − 0.154851I
a = 0.596951 − 0.002605I
b = −0.82914 + 1.15633I
0.46658 − 3.93656I 0
u = −0.951518 + 0.725435I
a = 0.020359 − 0.422169I
b = −0.688451 − 0.422754I
3.88447 − 1.34262I 0
u = −0.951518 − 0.725435I
a = 0.020359 + 0.422169I
b = −0.688451 + 0.422754I
3.88447 + 1.34262I 0
u = 0.111251 + 0.784602I
a = −1.191210 − 0.562088I
b = 0.298123 − 0.717683I
−1.57095 + 8.78124I 0
u = 0.111251 − 0.784602I
a = −1.191210 + 0.562088I
b = 0.298123 + 0.717683I
−1.57095 − 8.78124I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.088150 + 0.566831I
a = −0.120615 + 0.608113I
b = 0.761839 + 0.016293I
−0.69185 + 3.63054I 0
u = 1.088150 − 0.566831I
a = −0.120615 − 0.608113I
b = 0.761839 − 0.016293I
−0.69185 − 3.63054I 0
u = 1.219060 + 0.162674I
a = −0.138189 − 0.470608I
b = 0.073557 + 1.204540I
2.00915 + 3.11835I 0
u = 1.219060 − 0.162674I
a = −0.138189 + 0.470608I
b = 0.073557 − 1.204540I
2.00915 − 3.11835I 0
u = 0.611605 + 0.457951I
a = 0.30112 − 1.62200I
b = −0.597573 + 0.431575I
−1.45105 − 1.92208I 0
u = 0.611605 − 0.457951I
a = 0.30112 + 1.62200I
b = −0.597573 − 0.431575I
−1.45105 + 1.92208I 0
u = −1.240890 + 0.066673I
a = −2.14499 − 0.72682I
b = 1.42229 − 0.26765I
5.11259 + 0.43687I 0
u = −1.240890 − 0.066673I
a = −2.14499 + 0.72682I
b = 1.42229 + 0.26765I
5.11259 − 0.43687I 0
u = 1.074680 + 0.629418I
a = −0.220650 − 0.203125I
b = −0.532007 + 0.390425I
0.48860 + 8.13399I 0
u = 1.074680 − 0.629418I
a = −0.220650 + 0.203125I
b = −0.532007 − 0.390425I
0.48860 − 8.13399I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.25636
a = 1.61669
b = −0.809048
−2.14218 0
u = 0.972639 + 0.809961I
a = 0.706308 − 0.545033I
b = −0.842407 + 0.184630I
−1.89215 − 1.74159I 0
u = 0.972639 − 0.809961I
a = 0.706308 + 0.545033I
b = −0.842407 − 0.184630I
−1.89215 + 1.74159I 0
u = −1.253380 + 0.201642I
a = 1.45086 + 1.08106I
b = −1.249390 + 0.495735I
9.78521 − 4.73385I 0
u = −1.253380 − 0.201642I
a = 1.45086 − 1.08106I
b = −1.249390 − 0.495735I
9.78521 + 4.73385I 0
u = −1.186680 + 0.465651I
a = 1.61366 + 0.58709I
b = −1.56132 + 0.55391I
4.94868 − 9.60654I 0
u = −1.186680 − 0.465651I
a = 1.61366 − 0.58709I
b = −1.56132 − 0.55391I
4.94868 + 9.60654I 0
u = 1.245260 + 0.300384I
a = 2.52820 − 0.27465I
b = −1.083010 − 0.202793I
2.14223 + 10.50550I 0
u = 1.245260 − 0.300384I
a = 2.52820 + 0.27465I
b = −1.083010 + 0.202793I
2.14223 − 10.50550I 0
u = −1.288440 + 0.164268I
a = −0.290308 + 0.074632I
b = −0.199417 + 0.815441I
6.54945 − 0.16529I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.288440 − 0.164268I
a = −0.290308 − 0.074632I
b = −0.199417 − 0.815441I
6.54945 + 0.16529I 0
u = 0.423131 + 0.558136I
a = 1.023360 + 0.451687I
b = 0.123736 − 0.552332I
−1.282110 + 0.180959I 0
u = 0.423131 − 0.558136I
a = 1.023360 − 0.451687I
b = 0.123736 + 0.552332I
−1.282110 − 0.180959I 0
u = −1.238570 + 0.396683I
a = 2.04521 + 0.74013I
b = −1.044750 + 0.176164I
4.89618 − 3.90342I 0
u = −1.238570 − 0.396683I
a = 2.04521 − 0.74013I
b = −1.044750 − 0.176164I
4.89618 + 3.90342I 0
u = 1.309130 + 0.130866I
a = −2.37394 − 0.54205I
b = 1.073950 + 0.077491I
0.47115 + 4.19298I 0
u = 1.309130 − 0.130866I
a = −2.37394 + 0.54205I
b = 1.073950 − 0.077491I
0.47115 − 4.19298I 0
u = −1.322570 + 0.032054I
a = 1.78071 + 0.35786I
b = −1.61570 + 0.41951I
8.93479 + 6.21741I 0
u = −1.322570 − 0.032054I
a = 1.78071 − 0.35786I
b = −1.61570 − 0.41951I
8.93479 − 6.21741I 0
u = 1.320640 + 0.166718I
a = −1.80669 + 0.43155I
b = 1.43776 + 0.49720I
6.68031 + 3.11471I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.320640 − 0.166718I
a = −1.80669 − 0.43155I
b = 1.43776 − 0.49720I
6.68031 − 3.11471I 0
u = −1.322050 + 0.234961I
a = 0.130530 + 0.684390I
b = −0.189014 − 1.333740I
−1.34551 − 5.96775I 0
u = −1.322050 − 0.234961I
a = 0.130530 − 0.684390I
b = −0.189014 + 1.333740I
−1.34551 + 5.96775I 0
u = −1.317320 + 0.291863I
a = −1.49882 − 0.27319I
b = 1.36059 − 0.72046I
1.93253 − 4.97336I 0
u = −1.317320 − 0.291863I
a = −1.49882 + 0.27319I
b = 1.36059 + 0.72046I
1.93253 + 4.97336I 0
u = −1.315820 + 0.333200I
a = −0.009504 + 0.303187I
b = 0.231689 + 0.693846I
4.07611 − 0.56137I 0
u = −1.315820 − 0.333200I
a = −0.009504 − 0.303187I
b = 0.231689 − 0.693846I
4.07611 + 0.56137I 0
u = 1.340660 + 0.239843I
a = 1.79440 − 0.84942I
b = −1.40158 − 0.46257I
9.16611 + 9.90378I 0
u = 1.340660 − 0.239843I
a = 1.79440 + 0.84942I
b = −1.40158 + 0.46257I
9.16611 − 9.90378I 0
u = 0.044295 + 0.633256I
a = 0.956492 + 0.411775I
b = −0.397134 + 0.845440I
−5.62423 + 2.85523I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.044295 − 0.633256I
a = 0.956492 − 0.411775I
b = −0.397134 − 0.845440I
−5.62423 − 2.85523I 0
u = 1.384370 + 0.034051I
a = −0.556285 + 0.408484I
b = 0.248856 − 1.094270I
4.07202 − 4.55213I 0
u = 1.384370 − 0.034051I
a = −0.556285 − 0.408484I
b = 0.248856 + 1.094270I
4.07202 + 4.55213I 0
u = 0.430440 + 1.324000I
a = −0.523914 + 0.278125I
b = 1.171860 + 0.414606I
1.17364 + 13.05360I 0
u = 0.430440 − 1.324000I
a = −0.523914 − 0.278125I
b = 1.171860 − 0.414606I
1.17364 − 13.05360I 0
u = −0.600855 + 0.038418I
a = −1.31020 + 1.79200I
b = 0.809579 − 1.013760I
−2.91292 − 3.38530I −9.26974 + 8.26425I
u = −0.600855 − 0.038418I
a = −1.31020 − 1.79200I
b = 0.809579 + 1.013760I
−2.91292 + 3.38530I −9.26974 − 8.26425I
u = −1.369100 + 0.329860I
a = 0.020293 − 0.413861I
b = 0.095722 + 1.295860I
3.16925 − 12.78880I 0
u = −1.369100 − 0.329860I
a = 0.020293 + 0.413861I
b = 0.095722 − 1.295860I
3.16925 + 12.78880I 0
u = 0.579973 + 0.070200I
a = −0.781754 + 0.060310I
b = 0.905376 + 0.829679I
0.55942 + 3.12092I 6.15818 − 7.11948I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.579973 − 0.070200I
a = −0.781754 − 0.060310I
b = 0.905376 − 0.829679I
0.55942 − 3.12092I 6.15818 + 7.11948I
u = 1.38642 + 0.32349I
a = 0.058091 + 0.191128I
b = 0.087256 − 1.097540I
7.65844 + 6.95339I 0
u = 1.38642 − 0.32349I
a = 0.058091 − 0.191128I
b = 0.087256 + 1.097540I
7.65844 − 6.95339I 0
u = 1.42622 + 0.03310I
a = 1.57260 − 0.30998I
b = −1.42383 − 0.46057I
12.51670 − 1.37041I 0
u = 1.42622 − 0.03310I
a = 1.57260 + 0.30998I
b = −1.42383 + 0.46057I
12.51670 + 1.37041I 0
u = 1.35792 + 0.49954I
a = 1.64429 − 0.58403I
b = −1.49592 − 0.43611I
6.81907 + 8.41116I 0
u = 1.35792 − 0.49954I
a = 1.64429 + 0.58403I
b = −1.49592 + 0.43611I
6.81907 − 8.41116I 0
u = 0.546114 + 0.061781I
a = −1.262060 − 0.442290I
b = 0.637608 + 0.715268I
0.85329 + 2.27952I −4.05928 − 1.94360I
u = 0.546114 − 0.061781I
a = −1.262060 + 0.442290I
b = 0.637608 − 0.715268I
0.85329 − 2.27952I −4.05928 + 1.94360I
u = 0.203415 + 0.494746I
a = 1.104620 − 0.378266I
b = −0.230332 − 0.453612I
−1.026120 − 0.579671I −8.11952 + 2.62937I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.203415 − 0.494746I
a = 1.104620 + 0.378266I
b = −0.230332 + 0.453612I
−1.026120 + 0.579671I −8.11952 − 2.62937I
u = −0.394101 + 0.352701I
a = −0.414129 − 0.418438I
b = 0.301682 − 0.964513I
−1.55548 − 3.86108I −5.10180 + 9.95738I
u = −0.394101 − 0.352701I
a = −0.414129 + 0.418438I
b = 0.301682 + 0.964513I
−1.55548 + 3.86108I −5.10180 − 9.95738I
u = 1.11791 + 0.95957I
a = −1.41776 + 0.23408I
b = 0.764331 + 0.004996I
1.86519 − 3.71403I 0
u = 1.11791 − 0.95957I
a = −1.41776 − 0.23408I
b = 0.764331 − 0.004996I
1.86519 + 3.71403I 0
u = 1.49242 + 0.11575I
a = −1.85567 − 0.01618I
b = 1.52095 + 0.64527I
7.74896 + 2.46766I 0
u = 1.49242 − 0.11575I
a = −1.85567 + 0.01618I
b = 1.52095 − 0.64527I
7.74896 − 2.46766I 0
u = 1.44905 + 0.42986I
a = 1.65631 − 0.50201I
b = −1.39012 − 0.49411I
6.76618 + 8.91651I 0
u = 1.44905 − 0.42986I
a = 1.65631 + 0.50201I
b = −1.39012 + 0.49411I
6.76618 − 8.91651I 0
u = −1.50929 + 0.26794I
a = 1.41729 + 0.64688I
b = −1.256170 + 0.125720I
8.61267 − 1.93065I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50929 − 0.26794I
a = 1.41729 − 0.64688I
b = −1.256170 − 0.125720I
8.61267 + 1.93065I 0
u = −0.279385 + 0.368153I
a = −1.83248 + 1.25627I
b = −1.179650 − 0.065581I
6.61684 + 2.50918I 6.24026 − 0.59427I
u = −0.279385 − 0.368153I
a = −1.83248 − 1.25627I
b = −1.179650 + 0.065581I
6.61684 − 2.50918I 6.24026 + 0.59427I
u = −0.250178 + 0.369857I
a = 0.750005 − 0.477358I
b = 1.078170 − 0.243571I
1.94381 − 1.09928I 4.21543 − 2.50201I
u = −0.250178 − 0.369857I
a = 0.750005 + 0.477358I
b = 1.078170 + 0.243571I
1.94381 + 1.09928I 4.21543 + 2.50201I
u = −1.51457 + 0.38536I
a = 1.72646 + 0.33684I
b = −1.39591 + 0.61376I
2.70311 − 12.72480I 0
u = −1.51457 − 0.38536I
a = 1.72646 − 0.33684I
b = −1.39591 − 0.61376I
2.70311 + 12.72480I 0
u = −1.46203 + 0.55811I
a = 1.45492 + 0.60713I
b = −1.163980 + 0.344377I
5.33653 − 3.93136I 0
u = −1.46203 − 0.55811I
a = 1.45492 − 0.60713I
b = −1.163980 − 0.344377I
5.33653 + 3.93136I 0
u = −1.56362 + 0.07499I
a = −1.65439 + 0.33117I
b = 1.34628 − 0.86893I
7.88074 − 4.00988I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56362 − 0.07499I
a = −1.65439 − 0.33117I
b = 1.34628 + 0.86893I
7.88074 + 4.00988I 0
u = 1.50291 + 0.50598I
a = −1.51586 + 0.38481I
b = 1.53209 + 0.24649I
8.63449 + 8.49621I 0
u = 1.50291 − 0.50598I
a = −1.51586 − 0.38481I
b = 1.53209 − 0.24649I
8.63449 − 8.49621I 0
u = −0.58428 + 1.48683I
a = −0.637107 − 0.403633I
b = 1.103030 − 0.333293I
5.13987 − 6.06899I 0
u = −0.58428 − 1.48683I
a = −0.637107 + 0.403633I
b = 1.103030 + 0.333293I
5.13987 + 6.06899I 0
u = −0.039712 + 0.383815I
a = −1.60576 + 1.49388I
b = −1.349460 + 0.121068I
4.68203 − 7.34034I 2.76344 + 6.88370I
u = −0.039712 − 0.383815I
a = −1.60576 − 1.49388I
b = −1.349460 − 0.121068I
4.68203 + 7.34034I 2.76344 − 6.88370I
u = 1.62464 + 0.22687I
a = 1.208230 − 0.707441I
b = −1.030680 − 0.067296I
9.46227 + 0.31077I 0
u = 1.62464 − 0.22687I
a = 1.208230 + 0.707441I
b = −1.030680 + 0.067296I
9.46227 − 0.31077I 0
u = −1.56087 + 0.50563I
a = −1.56171 − 0.45492I
b = 1.41008 − 0.61688I
7.3844 − 19.4648I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56087 − 0.50563I
a = −1.56171 + 0.45492I
b = 1.41008 + 0.61688I
7.3844 + 19.4648I 0
u = 1.57222 + 0.52281I
a = −1.47152 + 0.54181I
b = 1.34155 + 0.57236I
11.5783 + 12.8899I 0
u = 1.57222 − 0.52281I
a = −1.47152 − 0.54181I
b = 1.34155 − 0.57236I
11.5783 − 12.8899I 0
u = −0.211240 + 0.175347I
a = 0.78077 − 1.60023I
b = 1.243800 − 0.259007I
1.84179 − 1.19731I 10.60119 + 1.31143I
u = −0.211240 − 0.175347I
a = 0.78077 + 1.60023I
b = 1.243800 + 0.259007I
1.84179 + 1.19731I 10.60119 − 1.31143I
u = −1.59245 + 0.77043I
a = −1.124470 − 0.692437I
b = 1.152740 − 0.488771I
6.78045 − 5.07765I 0
u = −1.59245 − 0.77043I
a = −1.124470 + 0.692437I
b = 1.152740 + 0.488771I
6.78045 + 5.07765I 0
u = 0.139487 + 0.183215I
a = −2.40843 − 4.64200I
b = 0.823244 − 0.576780I
−3.44687 − 2.76159I −7.18414 + 2.30075I
u = 0.139487 − 0.183215I
a = −2.40843 + 4.64200I
b = 0.823244 + 0.576780I
−3.44687 + 2.76159I −7.18414 − 2.30075I
u = −1.72643 + 0.44990I
a = −1.375460 − 0.243823I
b = 1.325610 − 0.264331I
11.45270 − 3.71233I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.72643 − 0.44990I
a = −1.375460 + 0.243823I
b = 1.325610 + 0.264331I
11.45270 + 3.71233I 0
u = −1.81486 + 0.03742I
a = 1.123450 + 0.289731I
b = −1.016800 + 0.550219I
6.91636 − 2.18547I 0
u = −1.81486 − 0.03742I
a = 1.123450 − 0.289731I
b = −1.016800 − 0.550219I
6.91636 + 2.18547I 0
u = 1.14116 + 1.53222I
a = −0.670452 + 0.193941I
b = 1.064820 − 0.058701I
2.92855 − 4.19859I 0
u = 1.14116 − 1.53222I
a = −0.670452 − 0.193941I
b = 1.064820 + 0.058701I
2.92855 + 4.19859I 0
19
II. I
u
2
= h2.16 × 10
34
u
36
− 4.93 × 10
34
u
35
+ · · · + 6.17 × 10
32
b + 7.43 ×
10
34
, −1.18 × 10
35
u
36
+ 2.71 × 10
35
u
35
+ · · · + 6.17 × 10
32
a − 3.95 ×
10
35
, u
37
− 2u
36
+ · · · + 10u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
3
=
190.952u
36
− 438.342u
35
+ ··· + 4264.72u + 639.381
−34.9567u
36
+ 79.7857u
35
+ ··· − 793.607u − 120.340
a
8
=
1
−u
2
a
6
=
−228.329u
36
+ 527.250u
35
+ ··· − 5018.39u − 744.962
56.5751u
36
− 130.395u
35
+ ··· + 1249.81u + 187.278
a
2
=
60.3854u
36
− 134.275u
35
+ ··· + 1508.47u + 246.749
26.2295u
36
− 61.9744u
35
+ ··· + 539.580u + 74.1548
a
5
=
−263.150u
36
+ 607.262u
35
+ ··· − 5790.63u − 861.649
59.8795u
36
− 137.732u
35
+ ··· + 1318.71u + 197.649
a
12
=
−310.737u
36
+ 712.858u
35
+ ··· − 6900.48u − 1042.87
17.4172u
36
− 38.8289u
35
+ ··· + 375.207u + 59.4696
a
10
=
−u
u
a
4
=
177.071u
36
− 406.626u
35
+ ··· + 3955.06u + 592.816
−21.0754u
36
+ 48.0697u
35
+ ··· − 483.949u − 73.7746
a
1
=
−9.57722u
36
+ 27.7184u
35
+ ··· − 21.9641u + 22.0479
53.2220u
36
− 124.251u
35
+ ··· + 1148.13u + 165.694
a
9
=
−325.487u
36
+ 745.280u
35
+ ··· − 7331.59u − 1116.54
−2.16109u
36
+ 5.65095u
35
+ ··· − 6.76424u + 4.11501
(ii) Obstruction class = 1
(iii) Cusp Shapes = −224.319u
36
+ 519.345u
35
+ ··· − 4822.71u − 717.630
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
37
− 3u
36
+ ··· + 14u − 1
c
2
u
37
+ 2u
36
+ ··· − 2u + 1
c
3
u
37
− u
35
+ ··· − 26u
2
− 1
c
4
u
37
+ 3u
36
+ ··· + 14u + 1
c
5
u
37
+ 4u
36
+ ··· + u − 1
c
6
u
37
− 2u
36
+ ··· − 2u − 1
c
7
u
37
− 2u
36
+ ··· + 10u + 1
c
8
u
37
+ u
36
+ ··· + 8u − 1
c
9
u
37
− 4u
35
+ ··· + 12u
2
+ 1
c
10
u
37
+ 2u
36
+ ··· + 10u − 1
c
11
u
37
+ u
36
+ ··· + 6u + 1
c
12
u
37
− u
36
+ ··· + 8u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
37
+ 35y
36
+ ··· + 4y −1
c
2
, c
6
y
37
− 20y
36
+ ··· + 26y −1
c
3
y
37
− 2y
36
+ ··· − 52y −1
c
5
y
37
+ 2y
36
+ ··· − 13y −1
c
7
, c
10
y
37
− 30y
36
+ ··· + 42y −1
c
8
, c
12
y
37
− 27y
36
+ ··· + 52y −1
c
9
y
37
− 8y
36
+ ··· − 24y −1
c
11
y
37
+ 15y
36
+ ··· − 8y −1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.865930 + 0.470625I
a = −0.526913 + 0.972443I
b = −0.398966 − 0.172060I
0.50373 + 9.30508I 0. − 8.35077I
u = 0.865930 − 0.470625I
a = −0.526913 − 0.972443I
b = −0.398966 + 0.172060I
0.50373 − 9.30508I 0. + 8.35077I
u = −1.024440 + 0.098100I
a = −0.454000 + 0.240276I
b = 0.426615 − 0.922013I
1.68609 − 2.26452I 4.04281 + 0.84517I
u = −1.024440 − 0.098100I
a = −0.454000 − 0.240276I
b = 0.426615 + 0.922013I
1.68609 + 2.26452I 4.04281 − 0.84517I
u = 1.066150 + 0.306740I
a = 0.440825 + 0.012806I
b = 0.378402 + 0.564900I
−1.83564 + 4.15388I 0. − 4.40524I
u = 1.066150 − 0.306740I
a = 0.440825 − 0.012806I
b = 0.378402 − 0.564900I
−1.83564 − 4.15388I 0. + 4.40524I
u = −1.11824
a = −3.87923
b = 1.11736
3.76136 −113.100
u = 1.117000 + 0.147107I
a = −0.524947 − 0.369648I
b = 0.66570 + 1.28161I
−1.32048 + 4.03300I 0. − 6.05320I
u = 1.117000 − 0.147107I
a = −0.524947 + 0.369648I
b = 0.66570 − 1.28161I
−1.32048 − 4.03300I 0. + 6.05320I
u = −0.678504 + 0.548499I
a = 0.02582 − 1.53831I
b = −0.547929 − 0.224890I
3.69091 − 2.47875I 3.78320 + 4.82757I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.678504 − 0.548499I
a = 0.02582 + 1.53831I
b = −0.547929 + 0.224890I
3.69091 + 2.47875I 3.78320 − 4.82757I
u = −0.798358 + 0.200701I
a = 1.44784 + 0.12783I
b = 0.656047 + 0.060507I
2.05516 − 0.19969I −2.24677 − 4.30907I
u = −0.798358 − 0.200701I
a = 1.44784 − 0.12783I
b = 0.656047 − 0.060507I
2.05516 + 0.19969I −2.24677 + 4.30907I
u = 1.054110 + 0.528576I
a = −1.094210 + 0.844287I
b = 0.831338 − 0.193676I
−2.08376 − 1.30211I 0
u = 1.054110 − 0.528576I
a = −1.094210 − 0.844287I
b = 0.831338 + 0.193676I
−2.08376 + 1.30211I 0
u = 0.717902 + 0.250097I
a = −0.436294 + 1.233330I
b = 0.483472 − 0.977863I
−2.74979 − 2.46325I −7.38440 + 0.94612I
u = 0.717902 − 0.250097I
a = −0.436294 − 1.233330I
b = 0.483472 + 0.977863I
−2.74979 + 2.46325I −7.38440 − 0.94612I
u = 1.255810 + 0.435419I
a = 1.81891 − 0.69946I
b = −1.55728 − 0.35567I
6.40878 + 9.97191I 0
u = 1.255810 − 0.435419I
a = 1.81891 + 0.69946I
b = −1.55728 + 0.35567I
6.40878 − 9.97191I 0
u = 0.517961 + 1.233440I
a = 0.521539 − 0.256141I
b = −1.224930 + 0.176329I
3.95000 − 4.57681I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.517961 − 1.233440I
a = 0.521539 + 0.256141I
b = −1.224930 − 0.176329I
3.95000 + 4.57681I 0
u = −0.173056 + 0.527887I
a = 0.014441 + 0.349671I
b = 1.159170 − 0.280954I
1.33138 − 1.35616I −5.50164 + 2.96971I
u = −0.173056 − 0.527887I
a = 0.014441 − 0.349671I
b = 1.159170 + 0.280954I
1.33138 + 1.35616I −5.50164 − 2.96971I
u = −1.29451 + 0.80457I
a = 1.113590 + 0.839742I
b = −1.186220 + 0.417857I
6.35380 − 5.45787I 0
u = −1.29451 − 0.80457I
a = 1.113590 − 0.839742I
b = −1.186220 − 0.417857I
6.35380 + 5.45787I 0
u = −1.54693 + 0.20966I
a = 1.23232 + 0.71478I
b = −1.063630 + 0.155621I
10.47500 − 0.70049I 0
u = −1.54693 − 0.20966I
a = 1.23232 − 0.71478I
b = −1.063630 − 0.155621I
10.47500 + 0.70049I 0
u = 1.56404 + 0.10854I
a = −1.69721 − 0.23703I
b = 1.41094 + 0.73775I
7.91793 + 3.68580I 0
u = 1.56404 − 0.10854I
a = −1.69721 + 0.23703I
b = 1.41094 − 0.73775I
7.91793 − 3.68580I 0
u = −0.307621 + 0.159649I
a = −1.74934 − 1.64818I
b = 0.858001 + 0.729524I
−0.09807 + 3.13048I −6.92040 − 4.86439I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.307621 − 0.159649I
a = −1.74934 + 1.64818I
b = 0.858001 − 0.729524I
−0.09807 − 3.13048I −6.92040 + 4.86439I
u = −1.68288 + 0.18256I
a = −1.392640 − 0.193317I
b = 1.135750 − 0.578329I
6.46479 − 2.76132I 0
u = −1.68288 − 0.18256I
a = −1.392640 + 0.193317I
b = 1.135750 + 0.578329I
6.46479 + 2.76132I 0
u = −0.304520 + 0.009033I
a = 2.02952 + 4.14105I
b = −0.865590 − 0.750204I
−1.81843 + 2.85453I −1.46562 − 5.02758I
u = −0.304520 − 0.009033I
a = 2.02952 − 4.14105I
b = −0.865590 + 0.750204I
−1.81843 − 2.85453I −1.46562 + 5.02758I
u = 1.21104 + 1.27593I
a = 1.170360 − 0.249474I
b = −0.719579 + 0.019969I
1.60111 − 3.86013I 0
u = 1.21104 − 1.27593I
a = 1.170360 + 0.249474I
b = −0.719579 − 0.019969I
1.60111 + 3.86013I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 3u
36
+ ··· + 14u − 1)(u
145
− 10u
144
+ ··· − 5940u + 449)
c
2
(u
37
+ 2u
36
+ ··· − 2u + 1)(u
145
− 3u
144
+ ··· + 467400u − 213397)
c
3
(u
37
− u
35
+ ··· − 26u
2
− 1)
· (u
145
+ u
144
+ ··· − 1175510402u + 376846879)
c
4
(u
37
+ 3u
36
+ ··· + 14u + 1)(u
145
− 10u
144
+ ··· − 5940u + 449)
c
5
(u
37
+ 4u
36
+ ··· + u − 1)(u
145
+ 13u
144
+ ··· + 43u + 1)
c
6
(u
37
− 2u
36
+ ··· − 2u − 1)(u
145
− 3u
144
+ ··· + 467400u − 213397)
c
7
(u
37
− 2u
36
+ ··· + 10u + 1)(u
145
− 3u
144
+ ··· + 45520u − 31624)
c
8
(u
37
+ u
36
+ ··· + 8u − 1)(u
145
− 47u
143
+ ··· − 910u + 31)
c
9
(u
37
− 4u
35
+ ··· + 12u
2
+ 1)(u
145
− 3u
144
+ ··· + 64828u + 97949)
c
10
(u
37
+ 2u
36
+ ··· + 10u − 1)(u
145
− 3u
144
+ ··· + 45520u − 31624)
c
11
(u
37
+ u
36
+ ··· + 6u + 1)(u
145
+ 2u
144
+ ··· − 2298u + 229)
c
12
(u
37
− u
36
+ ··· + 8u + 1)(u
145
− 47u
143
+ ··· − 910u + 31)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
37
+ 35y
36
+ ··· + 4y −1)
· (y
145
+ 108y
144
+ ··· + 3274390y −201601)
c
2
, c
6
(y
37
− 20y
36
+ ··· + 26y −1)
· (y
145
− 95y
144
+ ··· + 820020367120y −45538279609)
c
3
(y
37
− 2y
36
+ ··· − 52y −1)
· (y
145
+ 59y
144
+ ··· − 6.17 × 10
18
y −1.42 × 10
17
)
c
5
(y
37
+ 2y
36
+ ··· − 13y −1)(y
145
+ 3y
144
+ ··· + 517y −1)
c
7
, c
10
(y
37
− 30y
36
+ ··· + 42y −1)
· (y
145
− 121y
144
+ ··· + 10721993376y −1000077376)
c
8
, c
12
(y
37
− 27y
36
+ ··· + 52y −1)(y
145
− 94y
144
+ ··· + 537754y −961)
c
9
(y
37
− 8y
36
+ ··· − 24y −1)
· (y
145
+ 9y
144
+ ··· − 357137656050y −9594006601)
c
11
(y
37
+ 15y
36
+ ··· − 8y −1)(y
145
+ 28y
144
+ ··· − 3337382y −52441)
30
