12a
0779
(K12a
0779
)
A knot diagram
1
Linearized knot diagam
3 8 10 1 9 11 2 12 4 7 6 5
Solving Sequence
1,4 5,9
6 10 3 2 12 8 7 11
c
4
c
5
c
9
c
3
c
1
c
12
c
8
c
7
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.88485 × 10
431
u
115
− 3.87633 × 10
432
u
114
+ ··· + 3.06291 × 10
431
b − 2.47087 × 10
434
,
− 5.92767 × 10
433
u
115
+ 3.93224 × 10
434
u
114
+ ··· + 1.05058 × 10
434
a + 5.42461 × 10
436
,
u
116
− 5u
115
+ ··· − 2832u + 343i
I
u
2
= h1855003u
23
+ 3850943u
22
+ ··· + 580499b − 34096,
− 1681819u
23
− 3462778u
22
+ ··· + 580499a + 2264843, u
24
+ 2u
23
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 140 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
= h6.88 × 10
431
u
115
− 3.88 × 10
432
u
114
+ · · · + 3.06 × 10
431
b − 2.47 ×
10
434
, −5.93 × 10
433
u
115
+ 3.93 × 10
434
u
114
+ · · · + 1.05 × 10
434
a + 5.42 ×
10
436
, u
116
− 5u
115
+ · · · − 2832u + 343i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
0.564229u
115
− 3.74292u
114
+ ··· + 4152.46u − 516.344
−2.24781u
115
+ 12.6557u
114
+ ··· − 7375.62u + 806.706
a
6
=
0.769698u
115
− 2.99157u
114
+ ··· − 1884.33u + 296.976
0.0652857u
115
− 1.03586u
114
+ ··· + 2918.89u − 366.646
a
10
=
−1.68358u
115
+ 8.91278u
114
+ ··· − 3223.16u + 290.361
−2.24781u
115
+ 12.6557u
114
+ ··· − 7375.62u + 806.706
a
3
=
−0.420919u
115
+ 2.52270u
114
+ ··· − 2342.59u + 278.230
−0.0475151u
115
+ 2.30589u
114
+ ··· − 7464.20u + 932.666
a
2
=
−0.924423u
115
+ 5.60598u
114
+ ··· − 5327.66u + 619.644
1.79779u
115
− 6.60342u
114
+ ··· − 5888.60u + 840.649
a
12
=
u
u
3
+ u
a
8
=
−1.62730u
115
+ 8.21029u
114
+ ··· − 1807.94u + 123.073
−2.34870u
115
+ 13.8153u
114
+ ··· − 9764.88u + 1104.64
a
7
=
0.497517u
115
− 2.20985u
114
+ ··· − 645.413u + 126.490
1.53087u
115
− 5.93445u
114
+ ··· − 3764.95u + 555.806
a
11
=
1.05201u
115
− 5.46374u
114
+ ··· + 1301.89u − 98.8604
−1.21080u
115
+ 6.38599u
114
+ ··· − 2257.71u + 215.936
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.52986u
115
+ 14.3363u
114
+ ··· − 6750.80u + 710.217
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
116
+ 55u
115
+ ··· + 2421167u + 130321
c
2
, c
7
u
116
+ u
115
+ ··· + 547u + 361
c
3
, c
9
u
116
+ u
115
+ ··· + 22041u + 2011
c
4
, c
12
u
116
− 5u
115
+ ··· − 2832u + 343
c
5
u
116
− 5u
115
+ ··· − 1107u + 187
c
6
, c
10
, c
11
u
116
− u
115
+ ··· + 38u + 1
c
8
u
116
− 7u
115
+ ··· + 138u + 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
116
+ 25y
115
+ ··· + 210895665369y + 16983563041
c
2
, c
7
y
116
− 55y
115
+ ··· − 2421167y + 130321
c
3
, c
9
y
116
+ 81y
115
+ ··· − 27615419y + 4044121
c
4
, c
12
y
116
+ 79y
115
+ ··· + 1741556y + 117649
c
5
y
116
+ 25y
115
+ ··· + 2122599y + 34969
c
6
, c
10
, c
11
y
116
+ 125y
115
+ ··· − 102y + 1
c
8
y
116
− y
115
+ ··· − 6044y + 16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.409569 + 0.907123I
a = −2.01997 + 0.05088I
b = 0.83294 − 1.17825I
−1.86572 − 6.39095I 0
u = 0.409569 − 0.907123I
a = −2.01997 − 0.05088I
b = 0.83294 + 1.17825I
−1.86572 + 6.39095I 0
u = −0.051479 + 1.007640I
a = −1.72227 + 0.05733I
b = 0.465110 + 0.900827I
2.87707 + 0.09899I 0
u = −0.051479 − 1.007640I
a = −1.72227 − 0.05733I
b = 0.465110 − 0.900827I
2.87707 − 0.09899I 0
u = 0.260354 + 0.979427I
a = 1.36571 − 1.49292I
b = −0.53216 + 1.67404I
−10.02800 − 0.07016I 0
u = 0.260354 − 0.979427I
a = 1.36571 + 1.49292I
b = −0.53216 − 1.67404I
−10.02800 + 0.07016I 0
u = 0.041554 + 0.981441I
a = 1.25681 − 0.65079I
b = −0.292649 − 1.018640I
−1.23558 − 2.86667I 0
u = 0.041554 − 0.981441I
a = 1.25681 + 0.65079I
b = −0.292649 + 1.018640I
−1.23558 + 2.86667I 0
u = 0.202903 + 1.010420I
a = 1.49197 + 0.54865I
b = −0.382921 + 1.237600I
0.05167 − 5.67442I 0
u = 0.202903 − 1.010420I
a = 1.49197 − 0.54865I
b = −0.382921 − 1.237600I
0.05167 + 5.67442I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.503544 + 0.920372I
a = −1.52903 − 0.29454I
b = 0.78301 + 1.19145I
−5.53049 + 2.90009I 0
u = −0.503544 − 0.920372I
a = −1.52903 + 0.29454I
b = 0.78301 − 1.19145I
−5.53049 − 2.90009I 0
u = 0.140919 + 0.937698I
a = −0.474152 + 0.068793I
b = 0.09114 − 1.51726I
−2.14817 − 2.46300I 0
u = 0.140919 − 0.937698I
a = −0.474152 − 0.068793I
b = 0.09114 + 1.51726I
−2.14817 + 2.46300I 0
u = 0.445329 + 0.807114I
a = 2.21366 − 0.14921I
b = −1.07064 + 1.30578I
−7.94577 − 7.95169I 0
u = 0.445329 − 0.807114I
a = 2.21366 + 0.14921I
b = −1.07064 − 1.30578I
−7.94577 + 7.95169I 0
u = 0.561423 + 0.719102I
a = 0.229909 − 1.017460I
b = 0.57464 + 1.51053I
−8.16272 + 3.81368I 0
u = 0.561423 − 0.719102I
a = 0.229909 + 1.017460I
b = 0.57464 − 1.51053I
−8.16272 − 3.81368I 0
u = 0.101956 + 0.894464I
a = 0.03995 − 1.44616I
b = 0.20096 + 2.25294I
−10.68630 − 1.41268I 0
u = 0.101956 − 0.894464I
a = 0.03995 + 1.44616I
b = 0.20096 − 2.25294I
−10.68630 + 1.41268I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.285737 + 1.062360I
a = 1.43340 + 0.26394I
b = −0.652105 − 0.911764I
0.73280 + 2.58634I 0
u = −0.285737 − 1.062360I
a = 1.43340 − 0.26394I
b = −0.652105 + 0.911764I
0.73280 − 2.58634I 0
u = 0.885471 + 0.145082I
a = 0.412793 − 0.412013I
b = −0.14526 − 1.48710I
−14.2902 + 2.7834I 0
u = 0.885471 − 0.145082I
a = 0.412793 + 0.412013I
b = −0.14526 + 1.48710I
−14.2902 − 2.7834I 0
u = 0.221965 + 1.092140I
a = −2.23578 − 0.60255I
b = 0.496538 − 1.125820I
−4.78348 − 8.22862I 0
u = 0.221965 − 1.092140I
a = −2.23578 + 0.60255I
b = 0.496538 + 1.125820I
−4.78348 + 8.22862I 0
u = −1.132100 + 0.013682I
a = −0.174521 + 0.095539I
b = 0.314944 + 1.253880I
−8.47530 + 6.05820I 0
u = −1.132100 − 0.013682I
a = −0.174521 − 0.095539I
b = 0.314944 − 1.253880I
−8.47530 − 6.05820I 0
u = 0.538184 + 0.997971I
a = 1.76839 + 0.25438I
b = −0.456531 + 0.808670I
−3.66759 − 5.62941I 0
u = 0.538184 − 0.997971I
a = 1.76839 − 0.25438I
b = −0.456531 − 0.808670I
−3.66759 + 5.62941I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.706435 + 0.487816I
a = −0.465256 − 0.660091I
b = −0.294228 + 1.318680I
−6.78700 + 1.73848I 0
u = −0.706435 − 0.487816I
a = −0.465256 + 0.660091I
b = −0.294228 − 1.318680I
−6.78700 − 1.73848I 0
u = −1.153810 + 0.064473I
a = 0.074046 − 0.187720I
b = −0.211589 − 1.026870I
−1.90789 + 2.23662I 0
u = −1.153810 − 0.064473I
a = 0.074046 + 0.187720I
b = −0.211589 + 1.026870I
−1.90789 − 2.23662I 0
u = 0.188287 + 0.815622I
a = −1.57804 + 1.11916I
b = 0.282496 − 1.065040I
−2.35580 + 0.79081I 0
u = 0.188287 − 0.815622I
a = −1.57804 − 1.11916I
b = 0.282496 + 1.065040I
−2.35580 − 0.79081I 0
u = −0.495692 + 1.058710I
a = 1.345320 − 0.286453I
b = −0.838048 − 0.586095I
0.42195 + 3.22532I 0
u = −0.495692 − 1.058710I
a = 1.345320 + 0.286453I
b = −0.838048 + 0.586095I
0.42195 − 3.22532I 0
u = 0.493021 + 0.646908I
a = −0.366529 + 0.481797I
b = −0.443349 − 1.272600I
−2.59580 + 2.59905I 0
u = 0.493021 − 0.646908I
a = −0.366529 − 0.481797I
b = −0.443349 + 1.272600I
−2.59580 − 2.59905I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.314569 + 1.146580I
a = 1.56422 + 0.28417I
b = −1.205640 − 0.322496I
−0.96145 − 5.61573I 0
u = 0.314569 − 1.146580I
a = 1.56422 − 0.28417I
b = −1.205640 + 0.322496I
−0.96145 + 5.61573I 0
u = −0.675845 + 0.446626I
a = 0.583608 − 0.738152I
b = 0.334483 − 0.044965I
−0.61665 + 3.85155I 0
u = −0.675845 − 0.446626I
a = 0.583608 + 0.738152I
b = 0.334483 + 0.044965I
−0.61665 − 3.85155I 0
u = 0.612990 + 0.521527I
a = 0.000191 + 0.455866I
b = 0.320842 + 1.098120I
−5.12119 + 1.08110I 0
u = 0.612990 − 0.521527I
a = 0.000191 − 0.455866I
b = 0.320842 − 1.098120I
−5.12119 − 1.08110I 0
u = −0.758533 + 0.929461I
a = −0.062803 + 0.661059I
b = 0.395803 + 0.749331I
−5.22337 − 2.23877I 0
u = −0.758533 − 0.929461I
a = −0.062803 − 0.661059I
b = 0.395803 − 0.749331I
−5.22337 + 2.23877I 0
u = −0.095059 + 1.200970I
a = 1.72251 + 0.77105I
b = −0.560830 − 0.776543I
0.06022 + 2.23512I 0
u = −0.095059 − 1.200970I
a = 1.72251 − 0.77105I
b = −0.560830 + 0.776543I
0.06022 − 2.23512I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.501587 + 1.105030I
a = −1.73328 + 0.42631I
b = 1.226670 + 0.557369I
−4.60873 + 3.80362I 0
u = −0.501587 − 1.105030I
a = −1.73328 − 0.42631I
b = 1.226670 − 0.557369I
−4.60873 − 3.80362I 0
u = 1.222050 + 0.072327I
a = 0.058543 − 0.153524I
b = −0.478842 − 1.315220I
−10.9380 + 11.7611I 0
u = 1.222050 − 0.072327I
a = 0.058543 + 0.153524I
b = −0.478842 + 1.315220I
−10.9380 − 11.7611I 0
u = 0.521319 + 1.119070I
a = 1.65174 − 0.10532I
b = −0.351627 + 1.058020I
−3.47981 − 5.73763I 0
u = 0.521319 − 1.119070I
a = 1.65174 + 0.10532I
b = −0.351627 − 1.058020I
−3.47981 + 5.73763I 0
u = −0.641313 + 0.400176I
a = 0.252509 + 0.225583I
b = 0.144502 − 0.896459I
−1.46462 + 1.24511I 0
u = −0.641313 − 0.400176I
a = 0.252509 − 0.225583I
b = 0.144502 + 0.896459I
−1.46462 − 1.24511I 0
u = −0.717476 + 0.236422I
a = 0.081001 − 0.458228I
b = −0.927579 + 0.615146I
−7.09985 + 0.73424I 0
u = −0.717476 − 0.236422I
a = 0.081001 + 0.458228I
b = −0.927579 − 0.615146I
−7.09985 − 0.73424I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.136630 + 0.523014I
a = −0.013512 + 0.399591I
b = −0.049976 + 1.187310I
−5.46387 + 0.13664I 0
u = 1.136630 − 0.523014I
a = −0.013512 − 0.399591I
b = −0.049976 − 1.187310I
−5.46387 − 0.13664I 0
u = 0.248042 + 1.229530I
a = −1.274570 − 0.185424I
b = 1.068330 + 0.335610I
5.08162 − 2.28235I 0
u = 0.248042 − 1.229530I
a = −1.274570 + 0.185424I
b = 1.068330 − 0.335610I
5.08162 + 2.28235I 0
u = −0.375666 + 1.218700I
a = −1.54401 + 0.39540I
b = 1.58327 − 0.17065I
−2.81317 + 10.43530I 0
u = −0.375666 − 1.218700I
a = −1.54401 − 0.39540I
b = 1.58327 + 0.17065I
−2.81317 − 10.43530I 0
u = −0.147596 + 1.286130I
a = −0.766636 + 0.994869I
b = 0.706994 − 0.306823I
−2.35177 + 3.66786I 0
u = −0.147596 − 1.286130I
a = −0.766636 − 0.994869I
b = 0.706994 + 0.306823I
−2.35177 − 3.66786I 0
u = −0.356958 + 1.280670I
a = 1.195400 − 0.209196I
b = −1.186940 + 0.106717I
4.16443 + 7.44120I 0
u = −0.356958 − 1.280670I
a = 1.195400 + 0.209196I
b = −1.186940 − 0.106717I
4.16443 − 7.44120I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.089065 + 0.662991I
a = 2.41144 − 0.76844I
b = 0.120157 + 0.745016I
−1.13026 + 3.89133I 2.00000 − 4.56275I
u = 0.089065 − 0.662991I
a = 2.41144 + 0.76844I
b = 0.120157 − 0.745016I
−1.13026 − 3.89133I 2.00000 + 4.56275I
u = −0.540902 + 0.380250I
a = −0.053357 + 0.528328I
b = 0.369496 − 0.410130I
−1.36642 + 0.97967I −2.29708 + 0.I
u = −0.540902 − 0.380250I
a = −0.053357 − 0.528328I
b = 0.369496 + 0.410130I
−1.36642 − 0.97967I −2.29708 + 0.I
u = 0.474923 + 1.253100I
a = −1.71051 + 0.60974I
b = 0.308562 − 1.299050I
−10.82760 − 7.71594I 0
u = 0.474923 − 1.253100I
a = −1.71051 − 0.60974I
b = 0.308562 + 1.299050I
−10.82760 + 7.71594I 0
u = 0.130933 + 1.335010I
a = 0.869481 − 0.047104I
b = −0.790075 − 0.270338I
4.40472 + 1.93956I 0
u = 0.130933 − 1.335010I
a = 0.869481 + 0.047104I
b = −0.790075 + 0.270338I
4.40472 − 1.93956I 0
u = −0.052598 + 0.637492I
a = −3.18846 + 0.30115I
b = −0.300239 − 0.586084I
−6.71984 + 6.68964I −5.17656 − 3.95444I
u = −0.052598 − 0.637492I
a = −3.18846 − 0.30115I
b = −0.300239 + 0.586084I
−6.71984 − 6.68964I −5.17656 + 3.95444I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.162785 + 1.352920I
a = −0.709797 − 1.040140I
b = 0.232685 + 0.602892I
4.08783 + 3.55610I 0
u = −0.162785 − 1.352920I
a = −0.709797 + 1.040140I
b = 0.232685 − 0.602892I
4.08783 − 3.55610I 0
u = 0.831498 + 1.098950I
a = −0.862766 − 0.163702I
b = −0.015215 − 0.898719I
−0.79635 − 1.31956I 0
u = 0.831498 − 1.098950I
a = −0.862766 + 0.163702I
b = −0.015215 + 0.898719I
−0.79635 + 1.31956I 0
u = −0.134503 + 1.385360I
a = 0.64960 + 1.64190I
b = −0.094758 − 0.927333I
−0.61050 + 4.18250I 0
u = −0.134503 − 1.385360I
a = 0.64960 − 1.64190I
b = −0.094758 + 0.927333I
−0.61050 − 4.18250I 0
u = −0.281612 + 1.377010I
a = −0.676347 − 0.175569I
b = 0.542832 + 0.009289I
4.41115 + 3.58195I 0
u = −0.281612 − 1.377010I
a = −0.676347 + 0.175569I
b = 0.542832 − 0.009289I
4.41115 − 3.58195I 0
u = 1.42237 + 0.05110I
a = 0.008761 + 0.230808I
b = 0.317159 + 1.184510I
−3.86253 + 6.81154I 0
u = 1.42237 − 0.05110I
a = 0.008761 − 0.230808I
b = 0.317159 − 1.184510I
−3.86253 − 6.81154I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.075067 + 0.568175I
a = −0.58564 + 2.12480I
b = 0.275906 − 0.153836I
−2.06664 + 2.10664I 5.02490 − 3.34646I
u = 0.075067 − 0.568175I
a = −0.58564 − 2.12480I
b = 0.275906 + 0.153836I
−2.06664 − 2.10664I 5.02490 + 3.34646I
u = −0.518479 + 0.205658I
a = −0.78785 + 1.75883I
b = −0.791242 − 0.164937I
−6.66227 + 6.93678I −4.20157 − 5.61597I
u = −0.518479 − 0.205658I
a = −0.78785 − 1.75883I
b = −0.791242 + 0.164937I
−6.66227 − 6.93678I −4.20157 + 5.61597I
u = −0.55937 + 1.35022I
a = −1.279380 − 0.188520I
b = 0.611151 + 1.191490I
2.36846 + 8.19603I 0
u = −0.55937 − 1.35022I
a = −1.279380 + 0.188520I
b = 0.611151 − 1.191490I
2.36846 − 8.19603I 0
u = −0.55803 + 1.36321I
a = 1.42052 + 0.34970I
b = −0.62721 − 1.29439I
−4.20168 + 11.99250I 0
u = −0.55803 − 1.36321I
a = 1.42052 − 0.34970I
b = −0.62721 + 1.29439I
−4.20168 − 11.99250I 0
u = −0.55819 + 1.37220I
a = 0.989305 + 0.097133I
b = −0.572337 − 1.106000I
1.94779 + 3.09975I 0
u = −0.55819 − 1.37220I
a = 0.989305 − 0.097133I
b = −0.572337 + 1.106000I
1.94779 − 3.09975I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.61256 + 1.35950I
a = −1.45970 + 0.22647I
b = 0.71654 − 1.44131I
−6.9259 − 18.1428I 0
u = 0.61256 − 1.35950I
a = −1.45970 − 0.22647I
b = 0.71654 + 1.44131I
−6.9259 + 18.1428I 0
u = 0.64402 + 1.36852I
a = 1.249830 − 0.107751I
b = −0.59786 + 1.36105I
0.18188 − 13.69850I 0
u = 0.64402 − 1.36852I
a = 1.249830 + 0.107751I
b = −0.59786 − 1.36105I
0.18188 + 13.69850I 0
u = 0.392668 + 0.163972I
a = −1.49837 − 1.08992I
b = 0.721043 + 0.333801I
−3.79779 + 2.66741I 0.79178 − 2.69043I
u = 0.392668 − 0.163972I
a = −1.49837 + 1.08992I
b = 0.721043 − 0.333801I
−3.79779 − 2.66741I 0.79178 + 2.69043I
u = −0.74973 + 1.39240I
a = −0.486709 − 0.310219I
b = 0.064725 + 0.949769I
−4.32130 + 0.40236I 0
u = −0.74973 − 1.39240I
a = −0.486709 + 0.310219I
b = 0.064725 − 0.949769I
−4.32130 − 0.40236I 0
u = 0.72972 + 1.42530I
a = −0.879443 + 0.051024I
b = 0.397202 − 1.309390I
0.35012 − 7.49098I 0
u = 0.72972 − 1.42530I
a = −0.879443 − 0.051024I
b = 0.397202 + 1.309390I
0.35012 + 7.49098I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.182486 + 0.127577I
a = 1.08969 − 2.67495I
b = −0.430323 + 0.131089I
1.065150 − 0.314626I 9.21410 + 1.10091I
u = 0.182486 − 0.127577I
a = 1.08969 + 2.67495I
b = −0.430323 − 0.131089I
1.065150 + 0.314626I 9.21410 − 1.10091I
u = 0.83659 + 1.64281I
a = 0.318457 − 0.307128I
b = 0.210469 + 0.999293I
−5.88487 + 4.65483I 0
u = 0.83659 − 1.64281I
a = 0.318457 + 0.307128I
b = 0.210469 − 0.999293I
−5.88487 − 4.65483I 0
u = 0.24660 + 1.94256I
a = 0.099833 − 0.478156I
b = 0.08957 + 1.43375I
−8.07747 − 1.26069I 0
u = 0.24660 − 1.94256I
a = 0.099833 + 0.478156I
b = 0.08957 − 1.43375I
−8.07747 + 1.26069I 0
16
II.
I
u
2
= h1.86 × 10
6
u
23
+ 3.85 × 10
6
u
22
+ · · · + 5.80 × 10
5
b − 3.41 × 10
4
, −1.68 ×
10
6
u
23
−3.46×10
6
u
22
+· · · +5.80×10
5
a+2.26×10
6
, u
24
+2u
23
+· · · +4u +1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
5
=
1
u
2
a
9
=
2.89720u
23
+ 5.96517u
22
+ ··· − 7.12292u − 3.90155
−3.19553u
23
− 6.63385u
22
+ ··· − 5.91528u + 0.0587357
a
6
=
1.09718u
23
+ 2.85785u
22
+ ··· + 0.0368338u + 0.467575
u
22
+ 2u
21
+ ··· + 4u + 2
a
10
=
−0.298336u
23
− 0.668675u
22
+ ··· − 13.0382u − 3.84281
−3.19553u
23
− 6.63385u
22
+ ··· − 5.91528u + 0.0587357
a
3
=
0.375902u
23
+ 1.24762u
22
+ ··· + 8.99326u + 2.57929
0.170457u
23
− 2.94487u
22
+ ··· − 19.3318u − 5.78160
a
2
=
0.157499u
23
+ 1.98127u
22
+ ··· + 2.53236u + 0.373847
1.66627u
23
+ 0.0991199u
22
+ ··· − 15.2561u − 5.15750
a
12
=
u
u
3
+ u
a
8
=
0.211192u
23
+ 0.278955u
22
+ ··· − 12.0156u − 3.98457
−4.80397u
23
− 9.94371u
22
+ ··· − 6.86514u + 0.289923
a
7
=
−0.199263u
23
− 0.233156u
22
+ ··· + 5.29156u + 0.376562
0.596878u
23
− 1.21652u
22
+ ··· − 19.1492u − 4.93941
a
11
=
−1.17909u
23
− 2.57707u
22
+ ··· − 13.1205u − 3.43340
2.15769u
23
+ 4.63645u
22
+ ··· + 7.84946u + 0.726757
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1594471
580499
u
23
−
169294
580499
u
22
+ ··· −
6694565
580499
u −
5053298
580499
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
− 12u
23
+ ··· − 17u + 1
c
2
u
24
− 6u
22
+ ··· + u + 1
c
3
u
24
+ 12u
22
+ ··· + u + 1
c
4
u
24
+ 2u
23
+ ··· + 4u + 1
c
5
u
24
+ 6u
22
+ ··· + 3u + 1
c
6
u
24
+ 16u
22
+ ··· + 6u
2
+ 1
c
7
u
24
− 6u
22
+ ··· − u + 1
c
8
u
24
− 3u
22
+ ··· + 4u + 1
c
9
u
24
+ 12u
22
+ ··· − u + 1
c
10
, c
11
u
24
+ 16u
22
+ ··· + 6u
2
+ 1
c
12
u
24
− 2u
23
+ ··· − 4u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
+ 12y
23
+ ··· − 5y + 1
c
2
, c
7
y
24
− 12y
23
+ ··· − 17y + 1
c
3
, c
9
y
24
+ 24y
23
+ ··· + 19y + 1
c
4
, c
12
y
24
+ 22y
23
+ ··· + 10y + 1
c
5
y
24
+ 12y
23
+ ··· + 17y + 1
c
6
, c
10
, c
11
y
24
+ 32y
23
+ ··· + 12y + 1
c
8
y
24
− 6y
23
+ ··· − 4y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.433597 + 0.907395I
a = 1.77366 + 0.44519I
b = −0.531095 + 1.096690I
−1.32018 − 5.65753I 1.33295 + 5.95486I
u = 0.433597 − 0.907395I
a = 1.77366 − 0.44519I
b = −0.531095 − 1.096690I
−1.32018 + 5.65753I 1.33295 − 5.95486I
u = 0.261836 + 0.903073I
a = −2.97112 − 0.28296I
b = 0.712705 − 0.854952I
−6.15347 − 7.72000I −1.95647 + 8.24582I
u = 0.261836 − 0.903073I
a = −2.97112 + 0.28296I
b = 0.712705 + 0.854952I
−6.15347 + 7.72000I −1.95647 − 8.24582I
u = −0.499306 + 0.943118I
a = 1.69149 − 0.58503I
b = −0.690190 − 0.337371I
−2.93839 + 5.04933I 2.47105 − 2.99193I
u = −0.499306 − 0.943118I
a = 1.69149 + 0.58503I
b = −0.690190 + 0.337371I
−2.93839 − 5.04933I 2.47105 + 2.99193I
u = −0.814232 + 0.801984I
a = −0.007661 − 0.225182I
b = 0.200228 − 0.683113I
−3.42124 − 0.35061I −0.172036 + 1.200900I
u = −0.814232 − 0.801984I
a = −0.007661 + 0.225182I
b = 0.200228 + 0.683113I
−3.42124 + 0.35061I −0.172036 − 1.200900I
u = −0.599290 + 1.081750I
a = −1.099670 + 0.317756I
b = 0.671158 + 0.746962I
0.65484 + 2.66887I 2.88282 + 1.54107I
u = −0.599290 − 1.081750I
a = −1.099670 − 0.317756I
b = 0.671158 − 0.746962I
0.65484 − 2.66887I 2.88282 − 1.54107I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.022564 + 0.743139I
a = −0.73988 + 1.97353I
b = 0.17876 − 2.13779I
−11.09690 + 0.93611I −9.79182 + 1.48612I
u = 0.022564 − 0.743139I
a = −0.73988 − 1.97353I
b = 0.17876 + 2.13779I
−11.09690 − 0.93611I −9.79182 − 1.48612I
u = −0.146598 + 1.265960I
a = 0.97596 + 1.65199I
b = −0.143282 − 0.550800I
0.37323 + 3.99230I 7.53226 − 4.96445I
u = −0.146598 − 1.265960I
a = 0.97596 − 1.65199I
b = −0.143282 + 0.550800I
0.37323 − 3.99230I 7.53226 + 4.96445I
u = 0.637787 + 1.178700I
a = −0.394437 + 0.087108I
b = −0.362252 − 0.928405I
−5.19307 + 4.75565I 0.05342 − 4.75175I
u = 0.637787 − 1.178700I
a = −0.394437 − 0.087108I
b = −0.362252 + 0.928405I
−5.19307 − 4.75565I 0.05342 + 4.75175I
u = −0.18159 + 1.40564I
a = −0.518560 − 0.909074I
b = 0.135248 + 0.620778I
3.86167 + 3.48429I −13.33273 − 0.38958I
u = −0.18159 − 1.40564I
a = −0.518560 + 0.909074I
b = 0.135248 − 0.620778I
3.86167 − 3.48429I −13.33273 + 0.38958I
u = 0.162130 + 0.482527I
a = 1.30100 − 1.18468I
b = 0.056124 + 1.351600I
−3.27431 + 1.55285I −6.19234 − 0.27854I
u = 0.162130 − 0.482527I
a = 1.30100 + 1.18468I
b = 0.056124 − 1.351600I
−3.27431 − 1.55285I −6.19234 + 0.27854I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.407301 + 0.152240I
a = −1.93217 − 0.65930I
b = −0.113456 − 0.845128I
−3.08494 − 2.15563I −4.35890 + 3.65341I
u = −0.407301 − 0.152240I
a = −1.93217 + 0.65930I
b = −0.113456 + 0.845128I
−3.08494 + 2.15563I −4.35890 − 3.65341I
u = 0.13040 + 1.75531I
a = −0.078629 + 0.576340I
b = −0.11395 − 1.50132I
−7.88566 − 1.33521I 10.5318 + 10.1223I
u = 0.13040 − 1.75531I
a = −0.078629 − 0.576340I
b = −0.11395 + 1.50132I
−7.88566 + 1.33521I 10.5318 − 10.1223I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
− 12u
23
+ ··· − 17u + 1)
· (u
116
+ 55u
115
+ ··· + 2421167u + 130321)
c
2
(u
24
− 6u
22
+ ··· + u + 1)(u
116
+ u
115
+ ··· + 547u + 361)
c
3
(u
24
+ 12u
22
+ ··· + u + 1)(u
116
+ u
115
+ ··· + 22041u + 2011)
c
4
(u
24
+ 2u
23
+ ··· + 4u + 1)(u
116
− 5u
115
+ ··· − 2832u + 343)
c
5
(u
24
+ 6u
22
+ ··· + 3u + 1)(u
116
− 5u
115
+ ··· − 1107u + 187)
c
6
(u
24
+ 16u
22
+ ··· + 6u
2
+ 1)(u
116
− u
115
+ ··· + 38u + 1)
c
7
(u
24
− 6u
22
+ ··· − u + 1)(u
116
+ u
115
+ ··· + 547u + 361)
c
8
(u
24
− 3u
22
+ ··· + 4u + 1)(u
116
− 7u
115
+ ··· + 138u + 4)
c
9
(u
24
+ 12u
22
+ ··· − u + 1)(u
116
+ u
115
+ ··· + 22041u + 2011)
c
10
, c
11
(u
24
+ 16u
22
+ ··· + 6u
2
+ 1)(u
116
− u
115
+ ··· + 38u + 1)
c
12
(u
24
− 2u
23
+ ··· − 4u + 1)(u
116
− 5u
115
+ ··· − 2832u + 343)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
24
+ 12y
23
+ ··· − 5y + 1)
· (y
116
+ 25y
115
+ ··· + 210895665369y + 16983563041)
c
2
, c
7
(y
24
− 12y
23
+ ··· − 17y + 1)
· (y
116
− 55y
115
+ ··· − 2421167y + 130321)
c
3
, c
9
(y
24
+ 24y
23
+ ··· + 19y + 1)
· (y
116
+ 81y
115
+ ··· − 27615419y + 4044121)
c
4
, c
12
(y
24
+ 22y
23
+ ··· + 10y + 1)
· (y
116
+ 79y
115
+ ··· + 1741556y + 117649)
c
5
(y
24
+ 12y
23
+ ··· + 17y + 1)
· (y
116
+ 25y
115
+ ··· + 2122599y + 34969)
c
6
, c
10
, c
11
(y
24
+ 32y
23
+ ··· + 12y + 1)(y
116
+ 125y
115
+ ··· − 102y + 1)
c
8
(y
24
− 6y
23
+ ··· − 4y + 1)(y
116
− y
115
+ ··· − 6044y + 16)
24
