12a
0285
(K12a
0285
)
A knot diagram
1
Linearized knot diagam
3 6 8 9 10 2 12 1 11 5 7 4
Solving Sequence
4,12 1,8
9 5 3 2 7 6 11 10
c
12
c
8
c
4
c
3
c
1
c
7
c
6
c
11
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.38602 × 10
1011
u
142
+ 4.52733 × 10
1012
u
141
+ ··· + 7.36925 × 10
1008
b − 6.46995 × 10
1015
,
5.01535 × 10
1015
u
142
− 5.18424 × 10
1016
u
141
+ ··· + 7.49969 × 10
1012
a + 7.61449 × 10
1019
,
u
143
− 11u
142
+ ··· + 27584u − 10177i
I
u
2
= h17434253328675u
29
− 10533896428578u
28
+ ··· + 320682258343b + 24639564912626,
− 14129515908963u
29
+ 10877469922460u
28
+ ··· + 320682258343a − 14905932574354,
u
30
− 4u
28
+ ··· + 7u + 1i
* 2 irreducible components of dim
C
= 0, with total 173 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−4.39 × 10
1011
u
142
+ 4.53 × 10
1012
u
141
+ · · · + 7.37 × 10
1008
b −
6.47 × 10
1015
, 5.02 × 10
1015
u
142
− 5.18 × 10
1016
u
141
+ · · · + 7.50 × 10
1012
a +
7.61 × 10
1019
, u
143
− 11u
142
+ · · · + 27584u − 10177i
(i) Arc colorings
a
4
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
8
=
−668.741u
142
+ 6912.61u
141
+ ··· + 1.21975 × 10
7
u − 1.01531 × 10
7
595.179u
142
− 6143.54u
141
+ ··· − 1.08740 × 10
7
u + 8.77965 × 10
6
a
9
=
−967.389u
142
+ 9991.06u
141
+ ··· + 1.76427 × 10
7
u − 1.44188 × 10
7
740.258u
142
− 7639.69u
141
+ ··· − 1.35358 × 10
7
u + 1.08831 × 10
7
a
5
=
−108.766u
142
+ 1139.76u
141
+ ··· + 1.37302 × 10
6
u − 1.61760 × 10
6
18.0614u
142
− 178.616u
141
+ ··· − 432383.u + 112725.
a
3
=
259.463u
142
− 2660.28u
141
+ ··· − 5.64469 × 10
6
u + 4.01611 × 10
6
259.478u
142
− 2699.21u
141
+ ··· − 4.33611 × 10
6
u + 4.12531 × 10
6
a
2
=
−211.226u
142
+ 2185.46u
141
+ ··· + 3.35948 × 10
6
u − 2.87681 × 10
6
386.427u
142
− 3993.28u
141
+ ··· − 6.92165 × 10
6
u + 5.73513 × 10
6
a
7
=
−1263.92u
142
+ 13056.2u
141
+ ··· + 2.30715 × 10
7
u − 1.89327 × 10
7
595.179u
142
− 6143.54u
141
+ ··· − 1.08740 × 10
7
u + 8.77965 × 10
6
a
6
=
−619.595u
142
+ 6371.78u
141
+ ··· + 1.24532 × 10
7
u − 9.34184 × 10
6
−226.209u
142
+ 2361.85u
141
+ ··· + 3.61819 × 10
6
u − 3.74097 × 10
6
a
11
=
164.959u
142
− 1704.00u
141
+ ··· − 3.34405 × 10
6
u + 2.71769 × 10
6
240.397u
142
− 2495.44u
141
+ ··· − 4.61159 × 10
6
u + 4.12755 × 10
6
a
10
=
1277.48u
142
− 13220.8u
141
+ ··· − 2.34740 × 10
7
u + 1.99571 × 10
7
−1249.41u
142
+ 12921.3u
141
+ ··· + 2.29038 × 10
7
u − 1.92225 × 10
7
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −2985.35u
142
+ 30817.6u
141
+ ··· + 5.50221 × 10
7
u − 4.46363 × 10
7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
143
+ 54u
142
+ ··· − 64u − 1
c
2
, c
6
u
143
+ 27u
141
+ ··· + 14u − 1
c
3
u
143
− u
142
+ ··· − 79259u − 20259
c
4
u
143
+ u
142
+ ··· + 7060687u − 934895
c
5
, c
10
u
143
− u
142
+ ··· + 11u − 19
c
7
, c
11
u
143
+ u
142
+ ··· + 4691957u − 772753
c
8
u
143
+ 5u
142
+ ··· − 58437u − 10229
c
9
u
143
− 75u
142
+ ··· − 6035u + 361
c
12
u
143
+ 11u
142
+ ··· + 27584u + 10177
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
143
+ 86y
142
+ ··· + 12060y −1
c
2
, c
6
y
143
+ 54y
142
+ ··· − 64y −1
c
3
y
143
+ 35y
142
+ ··· − 29282604383y −410427081
c
4
y
143
− 93y
142
+ ··· − 27555367489641y −874028661025
c
5
, c
10
y
143
+ 75y
142
+ ··· − 6035y −361
c
7
, c
11
y
143
− 117y
142
+ ··· − 6329951089997y −597147199009
c
8
y
143
+ 33y
142
+ ··· − 8154279695y −104632441
c
9
y
143
− 9y
142
+ ··· + 5558613y −130321
c
12
y
143
− 37y
142
+ ··· + 2435807716y −103571329
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.942702 + 0.364107I
a = −0.177763 − 1.145760I
b = 0.866397 − 0.753553I
1.72885 − 1.29757I 0
u = −0.942702 − 0.364107I
a = −0.177763 + 1.145760I
b = 0.866397 + 0.753553I
1.72885 + 1.29757I 0
u = −0.686690 + 0.770176I
a = 0.80784 − 1.60288I
b = 1.116190 − 0.098548I
1.45725 − 0.56929I 0
u = −0.686690 − 0.770176I
a = 0.80784 + 1.60288I
b = 1.116190 + 0.098548I
1.45725 + 0.56929I 0
u = −0.672172 + 0.673426I
a = 1.126840 − 0.440477I
b = 0.282383 + 0.300551I
1.20400 − 2.16328I 0
u = −0.672172 − 0.673426I
a = 1.126840 + 0.440477I
b = 0.282383 − 0.300551I
1.20400 + 2.16328I 0
u = −0.790822 + 0.688856I
a = 0.102784 − 1.035030I
b = 0.348736 − 1.110730I
1.33673 − 2.51070I 0
u = −0.790822 − 0.688856I
a = 0.102784 + 1.035030I
b = 0.348736 + 1.110730I
1.33673 + 2.51070I 0
u = 0.698246 + 0.784390I
a = 0.52856 + 1.79612I
b = 1.224570 + 0.258360I
0.75296 + 5.48494I 0
u = 0.698246 − 0.784390I
a = 0.52856 − 1.79612I
b = 1.224570 − 0.258360I
0.75296 − 5.48494I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.412417 + 0.855264I
a = −0.058546 + 0.861634I
b = −0.394352 + 0.734852I
−4.53599 + 0.12727I 0
u = 0.412417 − 0.855264I
a = −0.058546 − 0.861634I
b = −0.394352 − 0.734852I
−4.53599 − 0.12727I 0
u = −0.619462 + 0.714333I
a = 0.504812 − 0.994420I
b = 0.640043 − 0.456237I
0.41349 − 1.81846I 0
u = −0.619462 − 0.714333I
a = 0.504812 + 0.994420I
b = 0.640043 + 0.456237I
0.41349 + 1.81846I 0
u = 0.746098 + 0.578824I
a = 1.144860 − 0.020941I
b = −0.072007 − 0.458537I
0.43136 − 2.64878I 0
u = 0.746098 − 0.578824I
a = 1.144860 + 0.020941I
b = −0.072007 + 0.458537I
0.43136 + 2.64878I 0
u = 0.956217 + 0.473910I
a = −0.459363 + 0.933946I
b = 0.835719 + 0.735845I
1.57409 + 4.33045I 0
u = 0.956217 − 0.473910I
a = −0.459363 − 0.933946I
b = 0.835719 − 0.735845I
1.57409 − 4.33045I 0
u = −0.907918 + 0.065941I
a = 0.599867 + 1.261830I
b = −1.162300 + 0.466689I
4.14311 − 3.74371I 0
u = −0.907918 − 0.065941I
a = 0.599867 − 1.261830I
b = −1.162300 − 0.466689I
4.14311 + 3.74371I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.778207 + 0.459641I
a = 0.155491 − 0.435491I
b = 0.300328 − 0.749291I
0.710905 − 0.522185I 0
u = 0.778207 − 0.459641I
a = 0.155491 + 0.435491I
b = 0.300328 + 0.749291I
0.710905 + 0.522185I 0
u = 0.824561 + 0.723923I
a = −0.052145 + 1.034410I
b = 0.120849 + 1.297670I
0.27543 + 7.67403I 0
u = 0.824561 − 0.723923I
a = −0.052145 − 1.034410I
b = 0.120849 − 1.297670I
0.27543 − 7.67403I 0
u = −0.866052 + 0.245513I
a = 0.92166 + 2.05840I
b = −1.291340 − 0.097348I
9.48273 + 0.34349I 0
u = −0.866052 − 0.245513I
a = 0.92166 − 2.05840I
b = −1.291340 + 0.097348I
9.48273 − 0.34349I 0
u = −0.998820 + 0.491964I
a = 0.254642 − 0.746212I
b = 1.189530 − 0.573878I
2.83724 − 4.45710I 0
u = −0.998820 − 0.491964I
a = 0.254642 + 0.746212I
b = 1.189530 + 0.573878I
2.83724 + 4.45710I 0
u = 0.692047 + 0.890082I
a = 0.029194 + 1.171020I
b = 0.989314 + 0.511122I
−2.05768 + 0.08833I 0
u = 0.692047 − 0.890082I
a = 0.029194 − 1.171020I
b = 0.989314 − 0.511122I
−2.05768 − 0.08833I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.764186 + 0.837668I
a = −0.041847 + 0.585377I
b = −0.302856 + 0.732268I
−3.47929 + 1.86853I 0
u = 0.764186 − 0.837668I
a = −0.041847 − 0.585377I
b = −0.302856 − 0.732268I
−3.47929 − 1.86853I 0
u = 0.831651 + 0.219641I
a = 1.35365 − 1.93595I
b = −1.398960 + 0.000957I
9.76892 + 5.18382I 0
u = 0.831651 − 0.219641I
a = 1.35365 + 1.93595I
b = −1.398960 − 0.000957I
9.76892 − 5.18382I 0
u = −0.856184 + 0.014229I
a = 0.050201 − 1.008980I
b = −1.56583 − 0.86229I
7.41401 + 9.47262I 0
u = −0.856184 − 0.014229I
a = 0.050201 + 1.008980I
b = −1.56583 + 0.86229I
7.41401 − 9.47262I 0
u = 0.728724 + 0.881909I
a = −0.906766 + 0.164729I
b = 0.050733 + 0.686342I
3.53088 + 1.62729I 0
u = 0.728724 − 0.881909I
a = −0.906766 − 0.164729I
b = 0.050733 − 0.686342I
3.53088 − 1.62729I 0
u = 0.923053 + 0.682792I
a = 0.137723 − 0.951706I
b = −0.336105 − 1.336030I
4.25948 + 3.97292I 0
u = 0.923053 − 0.682792I
a = 0.137723 + 0.951706I
b = −0.336105 + 1.336030I
4.25948 − 3.97292I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.228646 + 0.807230I
a = 0.023292 − 1.154560I
b = 0.484549 − 0.690336I
−3.54560 − 4.45890I 0
u = 0.228646 − 0.807230I
a = 0.023292 + 1.154560I
b = 0.484549 + 0.690336I
−3.54560 + 4.45890I 0
u = −0.824374 + 0.818767I
a = −0.134727 + 0.950498I
b = −0.330114 + 1.302230I
4.19868 − 6.92087I 0
u = −0.824374 − 0.818767I
a = −0.134727 − 0.950498I
b = −0.330114 − 1.302230I
4.19868 + 6.92087I 0
u = 0.850879 + 0.794220I
a = 0.002009 − 0.970973I
b = −0.09037 − 1.43673I
3.18956 + 12.44830I 0
u = 0.850879 − 0.794220I
a = 0.002009 + 0.970973I
b = −0.09037 + 1.43673I
3.18956 − 12.44830I 0
u = 0.825852 + 0.004693I
a = 0.095954 + 0.726046I
b = −1.71850 + 0.66219I
8.39627 − 4.33805I 0
u = 0.825852 − 0.004693I
a = 0.095954 − 0.726046I
b = −1.71850 − 0.66219I
8.39627 + 4.33805I 0
u = −0.967449 + 0.682030I
a = −0.009488 + 0.960374I
b = −0.597638 + 1.204970I
4.75240 + 1.14948I 0
u = −0.967449 − 0.682030I
a = −0.009488 − 0.960374I
b = −0.597638 − 1.204970I
4.75240 − 1.14948I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.572462 + 0.564106I
a = −0.02824 + 1.51493I
b = −0.175033 + 0.862926I
−2.32809 + 6.89844I 0
u = 0.572462 − 0.564106I
a = −0.02824 − 1.51493I
b = −0.175033 − 0.862926I
−2.32809 − 6.89844I 0
u = −1.081800 + 0.521766I
a = −0.667986 + 0.530010I
b = 0.050573 − 0.324471I
5.22748 + 1.13720I 0
u = −1.081800 − 0.521766I
a = −0.667986 − 0.530010I
b = 0.050573 + 0.324471I
5.22748 − 1.13720I 0
u = −0.784389 + 0.112607I
a = 0.099331 − 1.070910I
b = 1.52498 − 0.73193I
4.58573 − 4.92230I 0
u = −0.784389 − 0.112607I
a = 0.099331 + 1.070910I
b = 1.52498 + 0.73193I
4.58573 + 4.92230I 0
u = −0.785370 + 0.921483I
a = −0.917738 + 0.192616I
b = −0.253898 − 0.496075I
3.87008 − 7.00864I 0
u = −0.785370 − 0.921483I
a = −0.917738 − 0.192616I
b = −0.253898 + 0.496075I
3.87008 + 7.00864I 0
u = 0.769080 + 0.075838I
a = 0.019176 + 0.801017I
b = 1.65258 + 0.50828I
5.21209 − 0.24772I 0
u = 0.769080 − 0.075838I
a = 0.019176 − 0.801017I
b = 1.65258 − 0.50828I
5.21209 + 0.24772I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.767831 + 0.087559I
a = 1.108720 − 0.253163I
b = −1.51890 − 0.20065I
7.01627 + 4.59260I 0
u = 0.767831 − 0.087559I
a = 1.108720 + 0.253163I
b = −1.51890 + 0.20065I
7.01627 − 4.59260I 0
u = 1.120030 + 0.504423I
a = 0.246737 + 0.426754I
b = 1.134750 + 0.236646I
2.24387 − 0.08919I 0
u = 1.120030 − 0.504423I
a = 0.246737 − 0.426754I
b = 1.134750 − 0.236646I
2.24387 + 0.08919I 0
u = −0.829157 + 0.940074I
a = −0.427214 + 0.812063I
b = −0.769545 + 0.441408I
1.98538 − 6.12408I 0
u = −0.829157 − 0.940074I
a = −0.427214 − 0.812063I
b = −0.769545 − 0.441408I
1.98538 + 6.12408I 0
u = 1.077520 + 0.652629I
a = −0.875976 − 0.121227I
b = 0.327467 + 0.543713I
3.81671 − 6.59998I 0
u = 1.077520 − 0.652629I
a = −0.875976 + 0.121227I
b = 0.327467 − 0.543713I
3.81671 + 6.59998I 0
u = 0.878141 + 0.911010I
a = −0.31524 − 1.38014I
b = −1.263300 − 0.375674I
1.19255 + 11.28560I 0
u = 0.878141 − 0.911010I
a = −0.31524 + 1.38014I
b = −1.263300 + 0.375674I
1.19255 − 11.28560I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.862422 + 0.926912I
a = −0.485253 + 1.153900I
b = −1.120380 + 0.257528I
2.43125 − 6.15187I 0
u = −0.862422 − 0.926912I
a = −0.485253 − 1.153900I
b = −1.120380 − 0.257528I
2.43125 + 6.15187I 0
u = −1.183970 + 0.478270I
a = −0.006180 + 0.751980I
b = −0.668145 + 0.159273I
3.66761 − 0.29510I 0
u = −1.183970 − 0.478270I
a = −0.006180 − 0.751980I
b = −0.668145 − 0.159273I
3.66761 + 0.29510I 0
u = 0.709445 + 0.139403I
a = 2.48531 + 0.57135I
b = −1.325380 − 0.242440I
7.91416 + 4.97044I 0
u = 0.709445 − 0.139403I
a = 2.48531 − 0.57135I
b = −1.325380 + 0.242440I
7.91416 − 4.97044I 0
u = 0.939027 + 0.878229I
a = 0.001532 − 0.522697I
b = 0.279870 − 0.708412I
−1.30512 + 6.67342I 0
u = 0.939027 − 0.878229I
a = 0.001532 + 0.522697I
b = 0.279870 + 0.708412I
−1.30512 − 6.67342I 0
u = −0.692283 + 0.139852I
a = 2.73474 − 1.24695I
b = −1.189710 + 0.293492I
6.73300 − 10.15420I 0
u = −0.692283 − 0.139852I
a = 2.73474 + 1.24695I
b = −1.189710 − 0.293492I
6.73300 + 10.15420I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.673364 + 0.113562I
a = 1.27854 − 1.54629I
b = −1.152230 − 0.146646I
3.15205 − 4.00093I 0
u = −0.673364 − 0.113562I
a = 1.27854 + 1.54629I
b = −1.152230 + 0.146646I
3.15205 + 4.00093I 0
u = −0.409296 + 0.535230I
a = 0.329044 − 1.370700I
b = −0.126062 − 0.811785I
−0.35426 − 2.21924I 0
u = −0.409296 − 0.535230I
a = 0.329044 + 1.370700I
b = −0.126062 + 0.811785I
−0.35426 + 2.21924I 0
u = 0.670539
a = −1.40075
b = 1.35805
3.32634 0
u = 1.326520 + 0.131714I
a = 0.621867 − 0.614530I
b = −0.728900 − 0.019182I
0.31557 + 4.38115I 0
u = 1.326520 − 0.131714I
a = 0.621867 + 0.614530I
b = −0.728900 + 0.019182I
0.31557 − 4.38115I 0
u = −1.148880 + 0.698505I
a = −0.225882 + 0.643519I
b = −0.986431 + 0.406096I
3.48218 − 0.54868I 0
u = −1.148880 − 0.698505I
a = −0.225882 − 0.643519I
b = −0.986431 − 0.406096I
3.48218 + 0.54868I 0
u = 0.655245 + 0.013073I
a = 0.118218 + 0.994804I
b = −1.83492 + 0.42074I
8.90892 + 4.27424I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.655245 − 0.013073I
a = 0.118218 − 0.994804I
b = −1.83492 − 0.42074I
8.90892 − 4.27424I 0
u = 0.985254 + 0.950108I
a = 0.101542 − 0.900112I
b = −1.040560 − 0.496938I
−2.59195 + 4.70960I 0
u = 0.985254 − 0.950108I
a = 0.101542 + 0.900112I
b = −1.040560 + 0.496938I
−2.59195 − 4.70960I 0
u = −0.612631 + 0.025132I
a = 0.085534 − 1.359730I
b = −1.71554 − 0.69035I
8.21950 + 1.31712I 0
u = −0.612631 − 0.025132I
a = 0.085534 + 1.359730I
b = −1.71554 + 0.69035I
8.21950 − 1.31712I 0
u = 0.608225 + 0.026983I
a = −3.27682 + 1.87542I
b = 1.268940 − 0.122009I
4.47403 + 0.66826I 0
u = 0.608225 − 0.026983I
a = −3.27682 − 1.87542I
b = 1.268940 + 0.122009I
4.47403 − 0.66826I 0
u = −0.599808 + 0.092592I
a = −0.63118 − 2.17437I
b = 0.949720 − 0.208162I
0.662019 − 0.640153I 0
u = −0.599808 − 0.092592I
a = −0.63118 + 2.17437I
b = 0.949720 + 0.208162I
0.662019 + 0.640153I 0
u = −0.603227 + 0.037987I
a = −2.82885 − 2.80975I
b = 1.161170 + 0.192599I
3.75638 + 4.31742I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.603227 − 0.037987I
a = −2.82885 + 2.80975I
b = 1.161170 − 0.192599I
3.75638 − 4.31742I 0
u = 0.425862 + 0.363879I
a = 0.28179 − 2.27579I
b = 0.304884 − 0.533381I
−2.29864 + 2.49790I 0
u = 0.425862 − 0.363879I
a = 0.28179 + 2.27579I
b = 0.304884 + 0.533381I
−2.29864 − 2.49790I 0
u = 1.26025 + 0.82746I
a = −0.106652 + 1.107940I
b = 1.51042 + 0.46960I
10.1703 + 10.1055I 0
u = 1.26025 − 0.82746I
a = −0.106652 − 1.107940I
b = 1.51042 − 0.46960I
10.1703 − 10.1055I 0
u = 1.19546 + 0.92100I
a = −0.294524 − 0.291200I
b = −1.108500 − 0.012149I
1.77932 − 4.36860I 0
u = 1.19546 − 0.92100I
a = −0.294524 + 0.291200I
b = −1.108500 + 0.012149I
1.77932 + 4.36860I 0
u = 1.25076 + 0.95388I
a = 0.002646 − 1.047880I
b = −1.45626 − 0.54648I
5.2713 + 14.0378I 0
u = 1.25076 − 0.95388I
a = 0.002646 + 1.047880I
b = −1.45626 + 0.54648I
5.2713 − 14.0378I 0
u = −1.32430 + 0.85870I
a = −0.047133 − 0.984502I
b = 1.48924 − 0.33956I
11.48390 − 3.78272I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.32430 − 0.85870I
a = −0.047133 + 0.984502I
b = 1.48924 + 0.33956I
11.48390 + 3.78272I 0
u = −1.28834 + 0.98530I
a = −0.041308 + 0.929941I
b = −1.44553 + 0.43105I
6.92152 − 7.81231I 0
u = −1.28834 − 0.98530I
a = −0.041308 − 0.929941I
b = −1.44553 − 0.43105I
6.92152 + 7.81231I 0
u = −0.075588 + 0.361273I
a = −1.03407 + 1.92467I
b = 0.449408 + 0.562483I
0.01834 + 1.65707I 0
u = −0.075588 − 0.361273I
a = −1.03407 − 1.92467I
b = 0.449408 − 0.562483I
0.01834 − 1.65707I 0
u = −0.41347 + 1.59092I
a = −0.385452 + 0.204680I
b = −1.355160 + 0.184332I
5.12467 − 3.51776I 0
u = −0.41347 − 1.59092I
a = −0.385452 − 0.204680I
b = −1.355160 − 0.184332I
5.12467 + 3.51776I 0
u = 1.32005 + 0.98383I
a = −0.020234 + 0.986267I
b = 1.48915 + 0.59400I
8.2127 + 19.3826I 0
u = 1.32005 − 0.98383I
a = −0.020234 − 0.986267I
b = 1.48915 − 0.59400I
8.2127 − 19.3826I 0
u = −0.087742 + 0.339205I
a = 1.46439 − 0.79618I
b = 0.277155 − 0.425388I
0.131184 − 1.216560I 0. + 6.03892I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.087742 − 0.339205I
a = 1.46439 + 0.79618I
b = 0.277155 + 0.425388I
0.131184 + 1.216560I 0. − 6.03892I
u = −0.019510 + 0.335422I
a = 2.20101 − 0.21808I
b = 1.65345 − 0.19526I
5.29449 − 2.92921I 13.65581 + 0.I
u = −0.019510 − 0.335422I
a = 2.20101 + 0.21808I
b = 1.65345 + 0.19526I
5.29449 + 2.92921I 13.65581 + 0.I
u = −1.35987 + 1.03349I
a = 0.021572 − 0.873272I
b = 1.49612 − 0.47648I
9.9843 − 12.9686I 0
u = −1.35987 − 1.03349I
a = 0.021572 + 0.873272I
b = 1.49612 + 0.47648I
9.9843 + 12.9686I 0
u = 1.48281 + 0.85235I
a = 0.240128 − 0.652021I
b = −1.143240 − 0.322153I
−0.86246 + 5.73987I 0
u = 1.48281 − 0.85235I
a = 0.240128 + 0.652021I
b = −1.143240 + 0.322153I
−0.86246 − 5.73987I 0
u = 1.68290 + 0.61851I
a = −0.328700 + 0.567735I
b = 1.145970 + 0.150811I
2.76591 + 2.34228I 0
u = 1.68290 − 0.61851I
a = −0.328700 − 0.567735I
b = 1.145970 − 0.150811I
2.76591 − 2.34228I 0
u = 1.64569 + 0.95094I
a = −0.210422 + 0.585719I
b = 1.238880 + 0.309418I
1.85095 + 10.32980I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.64569 − 0.95094I
a = −0.210422 − 0.585719I
b = 1.238880 − 0.309418I
1.85095 − 10.32980I 0
u = 1.09408 + 1.71428I
a = −0.288513 − 0.117345I
b = −1.179760 + 0.225858I
3.62431 − 5.24804I 0
u = 1.09408 − 1.71428I
a = −0.288513 + 0.117345I
b = −1.179760 − 0.225858I
3.62431 + 5.24804I 0
u = −1.52511 + 1.40882I
a = −0.144809 + 0.348009I
b = −1.251720 − 0.009524I
5.74860 − 1.67782I 0
u = −1.52511 − 1.40882I
a = −0.144809 − 0.348009I
b = −1.251720 + 0.009524I
5.74860 + 1.67782I 0
u = 0.72128 + 2.05563I
a = 0.292749 + 0.037134I
b = 1.275150 − 0.267052I
7.35370 − 1.82984I 0
u = 0.72128 − 2.05563I
a = 0.292749 − 0.037134I
b = 1.275150 + 0.267052I
7.35370 + 1.82984I 0
u = −1.81034 + 1.38849I
a = 0.090706 − 0.331869I
b = 1.253800 + 0.105408I
8.94675 + 2.62890I 0
u = −1.81034 − 1.38849I
a = 0.090706 + 0.331869I
b = 1.253800 − 0.105408I
8.94675 − 2.62890I 0
u = −1.56063 + 1.73319I
a = 0.148206 − 0.286892I
b = 1.346840 + 0.015379I
9.14039 − 5.74535I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56063 − 1.73319I
a = 0.148206 + 0.286892I
b = 1.346840 − 0.015379I
9.14039 + 5.74535I 0
u = 1.28018 + 1.95763I
a = 0.247148 + 0.100841I
b = 1.160580 − 0.296009I
6.35572 − 9.87696I 0
u = 1.28018 − 1.95763I
a = 0.247148 − 0.100841I
b = 1.160580 + 0.296009I
6.35572 + 9.87696I 0
19
II.
I
u
2
= h1.74×10
13
u
29
−1.05×10
13
u
28
+· · ·+3.21×10
11
b+2.46×10
13
, −1.41×
10
13
u
29
+1.09×10
13
u
28
+· · ·+3.21×10
11
a−1.49×10
13
, u
30
−4u
28
+· · ·+7u+1i
(i) Arc colorings
a
4
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
8
=
44.0608u
29
− 33.9198u
28
+ ··· + 299.494u + 46.4819
−54.3661u
29
+ 32.8484u
28
+ ··· − 446.961u − 76.8348
a
9
=
75.5398u
29
− 53.3340u
28
+ ··· + 553.077u + 89.3970
−64.4645u
29
+ 37.2310u
28
+ ··· − 551.381u − 96.2490
a
5
=
−19.6735u
29
+ 12.1162u
28
+ ··· − 223.934u − 52.7186
24.9904u
29
− 20.6388u
28
+ ··· + 177.013u + 33.5769
a
3
=
−4.58544u
29
+ 0.271279u
28
+ ··· − 89.3748u − 24.5292
u
29
− 4u
27
+ ··· + 22u + 7
a
2
=
−36.0562u
29
+ 16.6858u
28
+ ··· − 353.450u − 63.1994
5.52369u
29
+ 1.00132u
28
+ ··· + 101.657u + 21.0571
a
7
=
98.4269u
29
− 66.7682u
28
+ ··· + 746.455u + 123.317
−54.3661u
29
+ 32.8484u
28
+ ··· − 446.961u − 76.8348
a
6
=
89.3970u
29
− 75.5398u
28
+ ··· + 520.238u + 72.7018
−63.4006u
29
+ 48.1338u
28
+ ··· − 430.904u − 67.9960
a
11
=
−22.9370u
29
+ 15.7319u
28
+ ··· − 209.038u − 45.2944
15.9370u
29
− 14.7319u
28
+ ··· + 97.0380u + 18.2944
a
10
=
−20.9873u
29
+ 32.1134u
28
+ ··· + 4.49827u + 10.4593
9.31510u
29
− 16.5471u
28
+ ··· − 15.3500u − 8.61686
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
40229863551975
320682258343
u
29
−
22481908596968
320682258343
u
28
+ ··· +
360021636548064
320682258343
u +
67938473591191
320682258343
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
30
− 15u
29
+ ··· − 17u + 1
c
2
u
30
− u
29
+ ··· − u + 1
c
3
u
30
+ 4u
28
+ ··· + 4u
2
+ 1
c
4
u
30
− 8u
28
+ ··· + 2u + 1
c
5
u
30
+ 8u
28
+ ··· + 6u
2
+ 1
c
6
u
30
+ u
29
+ ··· + u + 1
c
7
u
30
− 2u
29
+ ··· − 2u + 1
c
8
u
30
+ 5u
28
+ ··· + 4u
4
+ 1
c
9
u
30
+ 16u
29
+ ··· + 12u + 1
c
10
u
30
+ 8u
28
+ ··· + 6u
2
+ 1
c
11
u
30
+ 2u
29
+ ··· + 2u + 1
c
12
u
30
− 4u
28
+ ··· + 7u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 15y
29
+ ··· + 5y + 1
c
2
, c
6
y
30
+ 15y
29
+ ··· + 17y + 1
c
3
y
30
+ 8y
29
+ ··· + 8y + 1
c
4
y
30
− 16y
29
+ ··· + 22y + 1
c
5
, c
10
y
30
+ 16y
29
+ ··· + 12y + 1
c
7
, c
11
y
30
− 28y
29
+ ··· − 22y + 1
c
8
y
30
+ 10y
29
+ ··· + 8y
2
+ 1
c
9
y
30
+ 32y
28
+ ··· − 4y + 1
c
12
y
30
− 8y
29
+ ··· − 7y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.907019 + 0.274273I
a = −0.220090 − 1.014830I
b = 0.770008 − 0.746552I
1.84495 − 2.15650I 5.47467 + 7.04688I
u = −0.907019 − 0.274273I
a = −0.220090 + 1.014830I
b = 0.770008 + 0.746552I
1.84495 + 2.15650I 5.47467 − 7.04688I
u = 0.556562 + 0.893348I
a = −0.064333 − 0.747475I
b = −1.121480 + 0.435771I
5.56455 − 9.18953I 4.66561 + 5.85107I
u = 0.556562 − 0.893348I
a = −0.064333 + 0.747475I
b = −1.121480 − 0.435771I
5.56455 + 9.18953I 4.66561 − 5.85107I
u = 0.894586 + 0.585810I
a = −0.169013 + 1.278090I
b = 0.651977 + 0.187324I
−1.29362 + 3.40871I 1.03864 − 3.84820I
u = 0.894586 − 0.585810I
a = −0.169013 − 1.278090I
b = 0.651977 − 0.187324I
−1.29362 − 3.40871I 1.03864 + 3.84820I
u = −0.755971 + 0.771635I
a = −0.685301 + 1.029880I
b = −0.584481 + 0.371861I
1.20662 − 5.49920I 0.29162 + 4.33782I
u = −0.755971 − 0.771635I
a = −0.685301 − 1.029880I
b = −0.584481 − 0.371861I
1.20662 + 5.49920I 0.29162 − 4.33782I
u = −0.382691 + 1.012540I
a = 0.489529 − 0.296123I
b = 1.46800 − 0.26514I
4.71977 − 3.22675I −0.05031 + 2.77520I
u = −0.382691 − 1.012540I
a = 0.489529 + 0.296123I
b = 1.46800 + 0.26514I
4.71977 + 3.22675I −0.05031 − 2.77520I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.716005 + 0.541603I
a = 0.227397 + 0.764574I
b = −1.55526 − 0.02098I
8.01213 − 4.99351I 7.90170 + 7.07826I
u = −0.716005 − 0.541603I
a = 0.227397 − 0.764574I
b = −1.55526 + 0.02098I
8.01213 + 4.99351I 7.90170 − 7.07826I
u = −1.022260 + 0.466451I
a = −0.123309 + 0.946581I
b = −0.551215 + 0.620151I
2.74239 + 0.51273I 4.62517 − 2.42060I
u = −1.022260 − 0.466451I
a = −0.123309 − 0.946581I
b = −0.551215 − 0.620151I
2.74239 − 0.51273I 4.62517 + 2.42060I
u = 0.058365 + 1.157870I
a = −0.491989 − 0.204462I
b = −1.336880 + 0.403515I
6.90164 − 1.15606I 6.63535 − 2.31964I
u = 0.058365 − 1.157870I
a = −0.491989 + 0.204462I
b = −1.336880 − 0.403515I
6.90164 + 1.15606I 6.63535 + 2.31964I
u = −0.582427 + 0.587140I
a = 0.82414 − 1.64502I
b = 0.713317 − 0.350203I
−0.224796 − 0.681290I −0.402018 + 0.954968I
u = −0.582427 − 0.587140I
a = 0.82414 + 1.64502I
b = 0.713317 + 0.350203I
−0.224796 + 0.681290I −0.402018 − 0.954968I
u = −0.733691 + 0.159907I
a = 1.159000 + 0.217569I
b = −1.45947 − 0.36277I
7.40216 + 4.02079I 6.60632 + 2.48099I
u = −0.733691 − 0.159907I
a = 1.159000 − 0.217569I
b = −1.45947 + 0.36277I
7.40216 − 4.02079I 6.60632 − 2.48099I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.262720 + 0.144773I
a = −0.611804 + 0.519065I
b = 0.686030 + 0.353039I
−0.21145 + 5.02428I −0.20853 − 10.06268I
u = 1.262720 − 0.144773I
a = −0.611804 − 0.519065I
b = 0.686030 − 0.353039I
−0.21145 − 5.02428I −0.20853 + 10.06268I
u = 0.273634 + 0.673833I
a = 0.82738 + 1.35972I
b = 1.150110 − 0.296946I
2.86965 − 4.20885I 1.93188 + 2.90240I
u = 0.273634 − 0.673833I
a = 0.82738 − 1.35972I
b = 1.150110 + 0.296946I
2.86965 + 4.20885I 1.93188 − 2.90240I
u = 1.135110 + 0.771702I
a = 0.020207 − 0.864589I
b = −0.575849 − 0.212344I
0.04895 + 7.83132I 3.35663 − 8.85381I
u = 1.135110 − 0.771702I
a = 0.020207 + 0.864589I
b = −0.575849 + 0.212344I
0.04895 − 7.83132I 3.35663 + 8.85381I
u = −0.517662 + 0.263417I
a = −1.48811 − 1.62476I
b = 1.336910 + 0.150572I
3.91649 − 0.89229I 1.83943 + 5.03941I
u = −0.517662 − 0.263417I
a = −1.48811 + 1.62476I
b = 1.336910 − 0.150572I
3.91649 + 0.89229I 1.83943 − 5.03941I
u = 1.43674 + 0.42468I
a = 0.306294 − 0.581017I
b = −0.591706 − 0.331632I
0.91378 + 1.81579I 2.00000 − 2.03944I
u = 1.43674 − 0.42468I
a = 0.306294 + 0.581017I
b = −0.591706 + 0.331632I
0.91378 − 1.81579I 2.00000 + 2.03944I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 15u
29
+ ··· − 17u + 1)(u
143
+ 54u
142
+ ··· − 64u − 1)
c
2
(u
30
− u
29
+ ··· − u + 1)(u
143
+ 27u
141
+ ··· + 14u − 1)
c
3
(u
30
+ 4u
28
+ ··· + 4u
2
+ 1)(u
143
− u
142
+ ··· − 79259u − 20259)
c
4
(u
30
− 8u
28
+ ··· + 2u + 1)(u
143
+ u
142
+ ··· + 7060687u − 934895)
c
5
(u
30
+ 8u
28
+ ··· + 6u
2
+ 1)(u
143
− u
142
+ ··· + 11u − 19)
c
6
(u
30
+ u
29
+ ··· + u + 1)(u
143
+ 27u
141
+ ··· + 14u − 1)
c
7
(u
30
− 2u
29
+ ··· − 2u + 1)(u
143
+ u
142
+ ··· + 4691957u − 772753)
c
8
(u
30
+ 5u
28
+ ··· + 4u
4
+ 1)(u
143
+ 5u
142
+ ··· − 58437u − 10229)
c
9
(u
30
+ 16u
29
+ ··· + 12u + 1)(u
143
− 75u
142
+ ··· − 6035u + 361)
c
10
(u
30
+ 8u
28
+ ··· + 6u
2
+ 1)(u
143
− u
142
+ ··· + 11u − 19)
c
11
(u
30
+ 2u
29
+ ··· + 2u + 1)(u
143
+ u
142
+ ··· + 4691957u − 772753)
c
12
(u
30
− 4u
28
+ ··· + 7u + 1)(u
143
+ 11u
142
+ ··· + 27584u + 10177)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 15y
29
+ ··· + 5y + 1)(y
143
+ 86y
142
+ ··· + 12060y −1)
c
2
, c
6
(y
30
+ 15y
29
+ ··· + 17y + 1)(y
143
+ 54y
142
+ ··· − 64y −1)
c
3
(y
30
+ 8y
29
+ ··· + 8y + 1)
· (y
143
+ 35y
142
+ ··· − 29282604383y −410427081)
c
4
(y
30
− 16y
29
+ ··· + 22y + 1)
· (y
143
− 93y
142
+ ··· − 27555367489641y −874028661025)
c
5
, c
10
(y
30
+ 16y
29
+ ··· + 12y + 1)(y
143
+ 75y
142
+ ··· − 6035y −361)
c
7
, c
11
(y
30
− 28y
29
+ ··· − 22y + 1)
· (y
143
− 117y
142
+ ··· − 6329951089997y −597147199009)
c
8
(y
30
+ 10y
29
+ ··· + 8y
2
+ 1)
· (y
143
+ 33y
142
+ ··· − 8154279695y −104632441)
c
9
(y
30
+ 32y
28
+ ··· − 4y + 1)(y
143
− 9y
142
+ ··· + 5558613y −130321)
c
12
(y
30
− 8y
29
+ ··· − 7y + 1)
· (y
143
− 37y
142
+ ··· + 2435807716y −103571329)
29
