12a
0956
(K12a
0956
)
A knot diagram
1
Linearized knot diagam
4 6 10 9 11 3 12 1 2 7 5 8
Solving Sequence
3,7
6
2,11
5 12 10 4 1 9 8
c
6
c
2
c
5
c
11
c
10
c
3
c
1
c
9
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h5.01989 × 10
429
u
132
+ 6.06464 × 10
430
u
131
+ ··· + 3.60673 × 10
430
b + 3.79307 × 10
433
,
6.26086 × 10
434
u
132
+ 7.00442 × 10
434
u
131
+ ··· + 2.74472 × 10
433
a − 3.98484 × 10
437
,
u
133
− 35u
131
+ ··· − 192u + 761i
I
u
2
= h305069750u
28
+ 681402822u
27
+ ··· + 8159603b − 631763705,
− 684332979u
28
− 1764814437u
27
+ ··· + 8159603a + 920265249, u
29
+ 3u
28
+ ··· − 6u − 1i
* 2 irreducible components of dim
C
= 0, with total 162 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
= h5.02 × 10
429
u
132
+ 6.06 × 10
430
u
131
+ · · · + 3.61 × 10
430
b + 3.79 ×
10
433
, 6.26 × 10
434
u
132
+ 7.00 × 10
434
u
131
+ · · · + 2.74 × 10
433
a − 3.98 ×
10
437
, u
133
− 35u
131
+ · · · − 192u + 761i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
2
=
−u
−u
3
+ u
a
11
=
−22.8106u
132
− 25.5196u
131
+ ··· + 7406.48u + 14518.2
−0.139181u
132
− 1.68148u
131
+ ··· − 1709.02u − 1051.67
a
5
=
−18.6049u
132
− 9.07059u
131
+ ··· + 21422.0u + 20981.3
−1.74155u
132
+ 6.42924u
131
+ ··· + 14068.1u + 8478.97
a
12
=
−258.222u
132
− 229.030u
131
+ ··· + 193487.u + 221526.
2.69839u
132
+ 1.79774u
131
+ ··· − 2931.78u − 2819.29
a
10
=
−22.6714u
132
− 23.8382u
131
+ ··· + 9115.50u + 15569.9
−0.139181u
132
− 1.68148u
131
+ ··· − 1709.02u − 1051.67
a
4
=
−16.9499u
132
− 17.0235u
131
+ ··· + 4983.99u + 11235.4
2.54388u
132
+ 2.52094u
131
+ ··· − 1084.16u − 1796.53
a
1
=
−151.474u
132
− 154.130u
131
+ ··· + 82798.9u + 113115.
10.4126u
132
+ 9.97071u
131
+ ··· − 5024.52u − 7744.52
a
9
=
−27.4107u
132
− 30.6810u
131
+ ··· + 7765.47u + 17086.0
−3.58075u
132
− 3.60481u
131
+ ··· + 1933.82u + 2639.59
a
8
=
306.838u
132
+ 285.363u
131
+ ··· − 208577.u − 251784.
−11.8525u
132
− 10.7196u
131
+ ··· + 6720.53u + 9349.95
(ii) Obstruction class = −1
(iii) Cusp Shapes = 237.869u
132
+ 195.350u
131
+ ··· − 206753.u − 218314.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
133
− 5u
132
+ ··· − 161632u − 14048
c
2
, c
6
u
133
− 35u
131
+ ··· − 192u + 761
c
3
u
133
− u
132
+ ··· − 4726716u − 515789
c
4
u
133
+ 3u
132
+ ··· + 41074u + 6061
c
5
, c
11
u
133
− u
132
+ ··· − 45568u − 71168
c
7
, c
8
, c
12
u
133
+ u
132
+ ··· − 20u − 1
c
9
u
133
− u
132
+ ··· − 546u − 43
c
10
u
133
− 2u
132
+ ··· − 540770u + 77627
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
133
+ 11y
132
+ ··· + 71281468928y −197346304
c
2
, c
6
y
133
− 70y
132
+ ··· + 16482074y −579121
c
3
y
133
+ 9y
132
+ ··· + 782897585812y −266038292521
c
4
y
133
− 13y
132
+ ··· − 508705604y −36735721
c
5
, c
11
y
133
+ 49y
132
+ ··· − 137462939648y −5064884224
c
7
, c
8
, c
12
y
133
− 135y
132
+ ··· + 164y −1
c
9
y
133
− 17y
132
+ ··· + 624486y −1849
c
10
y
133
− 34y
132
+ ··· + 514331922226y −6025951129
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.988920 + 0.138600I
a = −0.01868 + 2.61482I
b = 0.111075 − 0.454031I
5.06561 + 0.42762I 0
u = 0.988920 − 0.138600I
a = −0.01868 − 2.61482I
b = 0.111075 + 0.454031I
5.06561 − 0.42762I 0
u = −0.873966 + 0.444822I
a = 1.83735 − 0.05270I
b = 0.797900 − 0.326681I
−3.07390 − 2.52617I 0
u = −0.873966 − 0.444822I
a = 1.83735 + 0.05270I
b = 0.797900 + 0.326681I
−3.07390 + 2.52617I 0
u = −0.934196 + 0.415806I
a = −2.09634 + 0.44286I
b = −0.578069 + 0.732095I
−3.01255 − 6.47573I 0
u = −0.934196 − 0.415806I
a = −2.09634 − 0.44286I
b = −0.578069 − 0.732095I
−3.01255 + 6.47573I 0
u = −0.944903 + 0.394113I
a = 2.37299 − 0.55951I
b = 0.512928 − 0.998907I
3.62121 − 9.53053I 0
u = −0.944903 − 0.394113I
a = 2.37299 + 0.55951I
b = 0.512928 + 0.998907I
3.62121 + 9.53053I 0
u = 0.931719
a = 7.28657
b = 0.174112
4.76527 0
u = 0.908709 + 0.198506I
a = −1.49042 + 0.12597I
b = −1.16136 + 1.05086I
−1.15100 + 1.00525I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.908709 − 0.198506I
a = −1.49042 − 0.12597I
b = −1.16136 − 1.05086I
−1.15100 − 1.00525I 0
u = −0.775714 + 0.512116I
a = 1.36243 + 0.77522I
b = 1.063830 + 0.532036I
−3.35517 − 2.09583I 0
u = −0.775714 − 0.512116I
a = 1.36243 − 0.77522I
b = 1.063830 − 0.532036I
−3.35517 + 2.09583I 0
u = −0.173448 + 1.057700I
a = −0.118423 − 0.201854I
b = −0.628440 − 0.802795I
0.26270 + 4.87247I 0
u = −0.173448 − 1.057700I
a = −0.118423 + 0.201854I
b = −0.628440 + 0.802795I
0.26270 − 4.87247I 0
u = −0.761394 + 0.524998I
a = −1.71016 − 1.20594I
b = −1.59048 − 0.60273I
0.85958 − 2.13851I 0
u = −0.761394 − 0.524998I
a = −1.71016 + 1.20594I
b = −1.59048 + 0.60273I
0.85958 + 2.13851I 0
u = 0.854372 + 0.353578I
a = −2.58243 − 1.22405I
b = −1.02493 − 1.47052I
3.73823 − 5.31287I 0
u = 0.854372 − 0.353578I
a = −2.58243 + 1.22405I
b = −1.02493 + 1.47052I
3.73823 + 5.31287I 0
u = 0.901145 + 0.204526I
a = −2.19001 − 0.49699I
b = −1.287730 + 0.221407I
−1.15876 + 0.86950I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.901145 − 0.204526I
a = −2.19001 + 0.49699I
b = −1.287730 − 0.221407I
−1.15876 − 0.86950I 0
u = 0.865077 + 0.291875I
a = 2.54001 + 0.96713I
b = 1.14692 + 0.91206I
−2.30330 − 2.38565I 0
u = 0.865077 − 0.291875I
a = 2.54001 − 0.96713I
b = 1.14692 − 0.91206I
−2.30330 + 2.38565I 0
u = 0.029311 + 0.911005I
a = −0.071683 + 0.543041I
b = −1.068210 − 0.220558I
7.28500 + 6.69681I 0
u = 0.029311 − 0.911005I
a = −0.071683 − 0.543041I
b = −1.068210 + 0.220558I
7.28500 − 6.69681I 0
u = −0.198853 + 0.888063I
a = −0.494799 − 0.516999I
b = 0.605104 − 0.646999I
4.45599 − 5.34269I 0
u = −0.198853 − 0.888063I
a = −0.494799 + 0.516999I
b = 0.605104 + 0.646999I
4.45599 + 5.34269I 0
u = −0.783519 + 0.445304I
a = −0.520026 − 1.227660I
b = −0.76729 − 1.28515I
2.37891 − 3.23849I 0
u = −0.783519 − 0.445304I
a = −0.520026 + 1.227660I
b = −0.76729 + 1.28515I
2.37891 + 3.23849I 0
u = 1.092180 + 0.150295I
a = −1.182540 − 0.068170I
b = −0.069476 − 0.254256I
6.52211 − 0.06200I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.092180 − 0.150295I
a = −1.182540 + 0.068170I
b = −0.069476 + 0.254256I
6.52211 + 0.06200I 0
u = 0.862696 + 0.233785I
a = 0.262514 − 1.252500I
b = 0.62670 − 2.07541I
−2.43076 + 4.82491I 0
u = 0.862696 − 0.233785I
a = 0.262514 + 1.252500I
b = 0.62670 + 2.07541I
−2.43076 − 4.82491I 0
u = 0.028491 + 0.886624I
a = −0.074201 − 0.428514I
b = 0.738909 + 0.306732I
0.50495 + 4.20405I 0
u = 0.028491 − 0.886624I
a = −0.074201 + 0.428514I
b = 0.738909 − 0.306732I
0.50495 − 4.20405I 0
u = −0.932420 + 0.620236I
a = 1.30938 + 1.41471I
b = 2.11417 − 0.03152I
9.81908 − 2.45914I 0
u = −0.932420 − 0.620236I
a = 1.30938 − 1.41471I
b = 2.11417 + 0.03152I
9.81908 + 2.45914I 0
u = 0.285616 + 1.083460I
a = 0.110519 + 0.446575I
b = −1.030560 + 0.863341I
4.00112 − 12.85700I 0
u = 0.285616 − 1.083460I
a = 0.110519 − 0.446575I
b = −1.030560 − 0.863341I
4.00112 + 12.85700I 0
u = 1.065690 + 0.366918I
a = −1.120320 + 0.685903I
b = −0.938404 − 0.798931I
3.10610 + 2.82928I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.065690 − 0.366918I
a = −1.120320 − 0.685903I
b = −0.938404 + 0.798931I
3.10610 − 2.82928I 0
u = 0.826927 + 0.279525I
a = 0.51622 + 1.59722I
b = −0.22930 + 2.40332I
3.53976 + 8.18292I 0
u = 0.826927 − 0.279525I
a = 0.51622 − 1.59722I
b = −0.22930 − 2.40332I
3.53976 − 8.18292I 0
u = −0.424218 + 1.049990I
a = 0.113537 + 0.393271I
b = 0.690952 + 0.630816I
−3.97298 + 1.45301I 0
u = −0.424218 − 1.049990I
a = 0.113537 − 0.393271I
b = 0.690952 − 0.630816I
−3.97298 − 1.45301I 0
u = 0.851786
a = −3.75611
b = −0.269450
−0.410389 0
u = 1.062380 + 0.455149I
a = 1.41470 − 0.98400I
b = 1.51030 + 0.79163I
10.42620 + 3.06381I 0
u = 1.062380 − 0.455149I
a = 1.41470 + 0.98400I
b = 1.51030 − 0.79163I
10.42620 − 3.06381I 0
u = 1.131830 + 0.267629I
a = 1.033760 − 0.530042I
b = 0.487134 + 0.483951I
1.76196 + 1.04851I 0
u = 1.131830 − 0.267629I
a = 1.033760 + 0.530042I
b = 0.487134 − 0.483951I
1.76196 − 1.04851I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.334083 + 1.131750I
a = −0.109028 − 0.451487I
b = 0.901936 − 0.734964I
−2.79092 − 8.26077I 0
u = 0.334083 − 1.131750I
a = −0.109028 + 0.451487I
b = 0.901936 + 0.734964I
−2.79092 + 8.26077I 0
u = −0.762042 + 0.292320I
a = −2.35692 − 0.21609I
b = −1.37735 + 0.37759I
2.18942 − 0.22647I 0
u = −0.762042 − 0.292320I
a = −2.35692 + 0.21609I
b = −1.37735 − 0.37759I
2.18942 + 0.22647I 0
u = −0.608932 + 0.538700I
a = 0.449845 + 0.286768I
b = 0.261800 + 1.016030I
−3.80544 − 1.47323I 0
u = −0.608932 − 0.538700I
a = 0.449845 − 0.286768I
b = 0.261800 − 1.016030I
−3.80544 + 1.47323I 0
u = 1.143600 + 0.376238I
a = 0.273466 − 1.191650I
b = 0.927929 − 0.091326I
8.36637 + 0.11927I 0
u = 1.143600 − 0.376238I
a = 0.273466 + 1.191650I
b = 0.927929 + 0.091326I
8.36637 − 0.11927I 0
u = 1.139400 + 0.398073I
a = −0.390173 + 0.667856I
b = −0.729204 − 0.149396I
2.78580 + 1.00430I 0
u = 1.139400 − 0.398073I
a = −0.390173 − 0.667856I
b = −0.729204 + 0.149396I
2.78580 − 1.00430I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.002540 + 1.220210I
a = 0.197241 + 0.383474I
b = −0.440573 + 0.317848I
−1.93173 + 0.03663I 0
u = −0.002540 − 1.220210I
a = 0.197241 − 0.383474I
b = −0.440573 − 0.317848I
−1.93173 − 0.03663I 0
u = −1.214360 + 0.136317I
a = −1.204420 − 0.050221I
b = −1.122410 + 0.673110I
4.97319 − 1.06275I 0
u = −1.214360 − 0.136317I
a = −1.204420 + 0.050221I
b = −1.122410 − 0.673110I
4.97319 + 1.06275I 0
u = −1.207700 + 0.257376I
a = 1.57680 + 0.43641I
b = 1.46350 − 0.50185I
12.51590 − 4.02680I 0
u = −1.207700 − 0.257376I
a = 1.57680 − 0.43641I
b = 1.46350 + 0.50185I
12.51590 + 4.02680I 0
u = −0.757731 + 0.975271I
a = −0.361195 − 0.577809I
b = −0.942922 − 0.388512I
−0.52065 − 2.57273I 0
u = −0.757731 − 0.975271I
a = −0.361195 + 0.577809I
b = −0.942922 + 0.388512I
−0.52065 + 2.57273I 0
u = −1.153150 + 0.473095I
a = 1.51225 − 0.63978I
b = 0.99334 − 1.65032I
5.69421 − 7.09203I 0
u = −1.153150 − 0.473095I
a = 1.51225 + 0.63978I
b = 0.99334 + 1.65032I
5.69421 + 7.09203I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.165049 + 0.733946I
a = 0.636658 − 0.216868I
b = −0.604158 − 0.995471I
−0.90642 + 2.57878I 0
u = −0.165049 − 0.733946I
a = 0.636658 + 0.216868I
b = −0.604158 + 0.995471I
−0.90642 − 2.57878I 0
u = −0.160724 + 0.722073I
a = −0.683291 + 0.496358I
b = 0.89885 + 1.13433I
4.64169 + 3.45865I 0
u = −0.160724 − 0.722073I
a = −0.683291 − 0.496358I
b = 0.89885 − 1.13433I
4.64169 − 3.45865I 0
u = −1.160620 + 0.499905I
a = 2.17246 − 0.11710I
b = 1.71400 − 1.41071I
7.52291 − 8.04572I 0
u = −1.160620 − 0.499905I
a = 2.17246 + 0.11710I
b = 1.71400 + 1.41071I
7.52291 + 8.04572I 0
u = −0.618910 + 0.393493I
a = −0.547880 − 0.185869I
b = 0.31273 + 1.54182I
2.61970 + 6.09240I 0
u = −0.618910 − 0.393493I
a = −0.547880 + 0.185869I
b = 0.31273 − 1.54182I
2.61970 − 6.09240I 0
u = −1.166780 + 0.501329I
a = −1.84073 + 0.17891I
b = −1.40773 + 1.35918I
2.00330 − 7.20728I 0
u = −1.166780 − 0.501329I
a = −1.84073 − 0.17891I
b = −1.40773 − 1.35918I
2.00330 + 7.20728I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.579212 + 0.439699I
a = 0.0389490 + 0.0109292I
b = −0.275486 − 1.347110I
−4.04146 + 2.82999I 0
u = −0.579212 − 0.439699I
a = 0.0389490 − 0.0109292I
b = −0.275486 + 1.347110I
−4.04146 − 2.82999I 0
u = 0.454290 + 1.197280I
a = −0.047155 − 0.383391I
b = 0.174568 − 0.238990I
1.73556 + 5.22677I 0
u = 0.454290 − 1.197280I
a = −0.047155 + 0.383391I
b = 0.174568 + 0.238990I
1.73556 − 5.22677I 0
u = −1.106620 + 0.697966I
a = −1.272150 − 0.497172I
b = −1.37278 + 0.44356I
0.77664 − 3.65523I 0
u = −1.106620 − 0.697966I
a = −1.272150 + 0.497172I
b = −1.37278 − 0.44356I
0.77664 + 3.65523I 0
u = −0.184238 + 0.660636I
a = −1.234280 − 0.029458I
b = 0.080549 + 1.243700I
2.89142 + 2.74667I 0
u = −0.184238 − 0.660636I
a = −1.234280 + 0.029458I
b = 0.080549 − 1.243700I
2.89142 − 2.74667I 0
u = 1.248630 + 0.410313I
a = 1.81681 + 0.26127I
b = 1.71039 + 0.89846I
8.74578 + 9.62632I 0
u = 1.248630 − 0.410313I
a = 1.81681 − 0.26127I
b = 1.71039 − 0.89846I
8.74578 − 9.62632I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.247277 + 0.633247I
a = −0.731723 − 0.129482I
b = 1.101850 − 0.140895I
8.19994 + 1.08329I 0
u = 0.247277 − 0.633247I
a = −0.731723 + 0.129482I
b = 1.101850 + 0.140895I
8.19994 − 1.08329I 0
u = 0.495483 + 1.229530I
a = 0.040797 + 0.456616I
b = −0.829436 + 0.437930I
−2.35885 − 1.74213I 0
u = 0.495483 − 1.229530I
a = 0.040797 − 0.456616I
b = −0.829436 − 0.437930I
−2.35885 + 1.74213I 0
u = −1.263980 + 0.418103I
a = −0.616231 − 0.073037I
b = −0.520940 + 0.857049I
2.85639 − 5.09763I 0
u = −1.263980 − 0.418103I
a = −0.616231 + 0.073037I
b = −0.520940 − 0.857049I
2.85639 + 5.09763I 0
u = −1.250780 + 0.468648I
a = 1.169820 + 0.380734I
b = 0.958896 − 0.807384I
4.33761 − 8.97687I 0
u = −1.250780 − 0.468648I
a = 1.169820 − 0.380734I
b = 0.958896 + 0.807384I
4.33761 + 8.97687I 0
u = −1.263460 + 0.467491I
a = −1.28082 − 0.69208I
b = −1.082550 + 0.659477I
11.2089 − 11.5392I 0
u = −1.263460 − 0.467491I
a = −1.28082 + 0.69208I
b = −1.082550 − 0.659477I
11.2089 + 11.5392I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.301980 + 0.416420I
a = −1.37864 − 0.31823I
b = −1.31422 − 0.88798I
2.78087 + 5.23361I 0
u = 1.301980 − 0.416420I
a = −1.37864 + 0.31823I
b = −1.31422 + 0.88798I
2.78087 − 5.23361I 0
u = −1.363650 + 0.100827I
a = 0.670290 + 0.317401I
b = 0.734461 − 0.356613I
3.96173 + 4.05665I 0
u = −1.363650 − 0.100827I
a = 0.670290 − 0.317401I
b = 0.734461 + 0.356613I
3.96173 − 4.05665I 0
u = 1.292170 + 0.453405I
a = 1.034400 − 0.211210I
b = 1.046260 + 0.321641I
4.40043 + 0.78284I 0
u = 1.292170 − 0.453405I
a = 1.034400 + 0.211210I
b = 1.046260 − 0.321641I
4.40043 − 0.78284I 0
u = 1.270920 + 0.530603I
a = 0.670704 + 0.204878I
b = 0.632836 + 0.658580I
4.96571 + 1.04544I 0
u = 1.270920 − 0.530603I
a = 0.670704 − 0.204878I
b = 0.632836 − 0.658580I
4.96571 − 1.04544I 0
u = −1.221500 + 0.637678I
a = 1.43015 + 0.16913I
b = 1.199570 − 0.746823I
−1.34230 − 7.53852I 0
u = −1.221500 − 0.637678I
a = 1.43015 − 0.16913I
b = 1.199570 + 0.746823I
−1.34230 + 7.53852I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.295750 + 0.478442I
a = −1.242710 + 0.523835I
b = −1.342920 − 0.035543I
11.16140 − 1.63302I 0
u = 1.295750 − 0.478442I
a = −1.242710 − 0.523835I
b = −1.342920 + 0.035543I
11.16140 + 1.63302I 0
u = 1.091060 + 0.856454I
a = 0.699732 − 0.657656I
b = 1.320280 + 0.281323I
8.96985 + 3.39151I 0
u = 1.091060 − 0.856454I
a = 0.699732 + 0.657656I
b = 1.320280 − 0.281323I
8.96985 − 3.39151I 0
u = −1.271290 + 0.585758I
a = −1.55950 − 0.05726I
b = −1.14697 + 0.89527I
3.66647 − 10.69060I 0
u = −1.271290 − 0.585758I
a = −1.55950 + 0.05726I
b = −1.14697 − 0.89527I
3.66647 + 10.69060I 0
u = 0.596675
a = 1.29990
b = −0.151005
0.960214 12.1040
u = 1.40358
a = −0.789670
b = −0.409768
6.37719 0
u = −1.310880 + 0.529363I
a = 0.124992 + 0.509342I
b = 0.407436 − 0.385012I
7.86090 − 0.17576I 0
u = −1.310880 − 0.529363I
a = 0.124992 − 0.509342I
b = 0.407436 + 0.385012I
7.86090 + 0.17576I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26413 + 0.63476I
a = −1.67538 + 0.14923I
b = −1.53315 − 1.08858I
7.0828 + 18.9878I 0
u = 1.26413 − 0.63476I
a = −1.67538 − 0.14923I
b = −1.53315 + 1.08858I
7.0828 − 18.9878I 0
u = −1.41712 + 0.18334I
a = −0.634223 − 0.649667I
b = −0.795785 + 0.041164I
10.20150 + 8.35372I 0
u = −1.41712 − 0.18334I
a = −0.634223 + 0.649667I
b = −0.795785 − 0.041164I
10.20150 − 8.35372I 0
u = 1.27043 + 0.65452I
a = 1.49080 − 0.11585I
b = 1.41062 + 1.02135I
0.2204 + 14.6096I 0
u = 1.27043 − 0.65452I
a = 1.49080 + 0.11585I
b = 1.41062 − 1.02135I
0.2204 − 14.6096I 0
u = 1.27864 + 0.70102I
a = −1.208700 + 0.161368I
b = −1.27372 − 0.85163I
0.37614 + 8.59734I 0
u = 1.27864 − 0.70102I
a = −1.208700 − 0.161368I
b = −1.27372 + 0.85163I
0.37614 − 8.59734I 0
u = 0.029771 + 0.507702I
a = 0.671586 + 1.144350I
b = 0.126745 − 0.473632I
−1.11630 + 1.52270I 1.18980 − 2.31352I
u = 0.029771 − 0.507702I
a = 0.671586 − 1.144350I
b = 0.126745 + 0.473632I
−1.11630 − 1.52270I 1.18980 + 2.31352I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.350523
a = −3.58473
b = −0.957057
2.23684 3.39660
u = 0.236337 + 0.249555I
a = 1.75487 − 0.03350I
b = −0.491297 + 0.021002I
0.993613 + 0.164887I 10.82423 − 1.70559I
u = 0.236337 − 0.249555I
a = 1.75487 + 0.03350I
b = −0.491297 − 0.021002I
0.993613 − 0.164887I 10.82423 + 1.70559I
18
II.
I
u
2
= h3.05 × 10
8
u
28
+ 6.81 × 10
8
u
27
+ · · · + 8.16 × 10
6
b − 6.32 × 10
8
, −6.84 ×
10
8
u
28
−1.76×10
9
u
27
+· · · +8.16×10
6
a+9.20×10
8
, u
29
+3u
28
+· · · − 6u −1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
2
=
−u
−u
3
+ u
a
11
=
83.8684u
28
+ 216.287u
27
+ ··· − 497.321u − 112.783
−37.3878u
28
− 83.5093u
27
+ ··· + 330.729u + 77.4258
a
5
=
−46.4331u
28
− 192.020u
27
+ ··· − 146.427u + 22.2000
−u
28
− 2u
27
+ ··· + 4u
2
+ 6u
a
12
=
−66.0044u
28
− 312.627u
27
+ ··· − 972.677u − 158.350
82.0569u
28
+ 210.175u
27
+ ··· − 571.915u − 140.742
a
10
=
121.256u
28
+ 299.796u
27
+ ··· − 828.050u − 190.209
−37.3878u
28
− 83.5093u
27
+ ··· + 330.729u + 77.4258
a
4
=
−111.255u
28
− 338.272u
27
+ ··· + 102.611u + 60.5428
20.6517u
28
+ 36.8993u
27
+ ··· − 15.5793u + 15.8707
a
1
=
247.584u
28
+ 891.030u
27
+ ··· + 933.099u + 61.2577
−48.0924u
28
− 114.763u
27
+ ··· + 273.695u + 57.6469
a
9
=
136.556u
28
+ 344.460u
27
+ ··· − 889.243u − 207.914
−48.1687u
28
− 112.581u
27
+ ··· + 399.808u + 93.8954
a
8
=
274.977u
28
+ 979.089u
27
+ ··· + 1282.30u + 153.066
82.4271u
28
+ 200.922u
27
+ ··· − 565.471u − 127.236
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
170879671
263213
u
28
−
600734719
263213
u
27
+ ··· −
510229301
263213
u −
3545687
263213
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
29
− 8u
28
+ ··· + 4u − 1
c
2
u
29
− 3u
28
+ ··· − 6u + 1
c
3
u
29
− 2u
28
+ ··· + 2u + 1
c
4
u
29
+ u
27
+ ··· − 6u + 1
c
5
u
29
− 2u
28
+ ··· + 2u + 1
c
6
u
29
+ 3u
28
+ ··· − 6u − 1
c
7
, c
8
u
29
− 16u
27
+ ··· − 14u − 1
c
9
u
29
− 2u
28
+ ··· − 13u
2
− 1
c
10
u
29
+ u
28
+ ··· − 2u + 1
c
11
u
29
+ 2u
28
+ ··· + 2u − 1
c
12
u
29
− 16u
27
+ ··· − 14u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
− 22y
28
+ ··· − 6y −1
c
2
, c
6
y
29
− 11y
28
+ ··· + 18y −1
c
3
y
29
− 28y
28
+ ··· + 28y −1
c
4
y
29
+ 2y
28
+ ··· + 16y −1
c
5
, c
11
y
29
− 8y
28
+ ··· + 14y −1
c
7
, c
8
, c
12
y
29
− 32y
28
+ ··· + 144y −1
c
9
y
29
− 10y
28
+ ··· − 26y −1
c
10
y
29
− 7y
28
+ ··· + 114y −1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.947984 + 0.464808I
a = 1.21494 − 1.35471I
b = 1.76203 + 0.24852I
10.67020 + 1.92750I 17.1981 + 1.8686I
u = 0.947984 − 0.464808I
a = 1.21494 + 1.35471I
b = 1.76203 − 0.24852I
10.67020 − 1.92750I 17.1981 − 1.8686I
u = −0.856404 + 0.310789I
a = −2.27764 − 0.96633I
b = −1.91659 − 0.80677I
−1.81807 − 1.41123I 2.63164 + 5.52228I
u = −0.856404 − 0.310789I
a = −2.27764 + 0.96633I
b = −1.91659 + 0.80677I
−1.81807 + 1.41123I 2.63164 − 5.52228I
u = 0.910911
a = −6.13829
b = −0.104906
4.73799 −88.1800
u = 0.864622
a = −2.21373
b = −1.21267
2.91821 16.5150
u = 1.086180 + 0.387173I
a = −0.834309 + 0.573212I
b = −0.939837 − 0.354209I
3.11372 + 1.61285I 12.47483 − 3.64163I
u = 1.086180 − 0.387173I
a = −0.834309 − 0.573212I
b = −0.939837 + 0.354209I
3.11372 − 1.61285I 12.47483 + 3.64163I
u = 0.834532
a = 3.51756
b = 0.247517
−0.429533 −158.280
u = −0.835699 + 0.847022I
a = 0.846976 + 0.473870I
b = 0.777199 + 0.221035I
−1.44927 − 3.01036I 2.39124 + 3.89358I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.835699 − 0.847022I
a = 0.846976 − 0.473870I
b = 0.777199 − 0.221035I
−1.44927 + 3.01036I 2.39124 − 3.89358I
u = 0.302104 + 1.151790I
a = 0.048335 + 0.184540I
b = 0.185653 + 0.616766I
1.40075 + 5.46153I 2.52560 − 12.47364I
u = 0.302104 − 1.151790I
a = 0.048335 − 0.184540I
b = 0.185653 − 0.616766I
1.40075 − 5.46153I 2.52560 + 12.47364I
u = −0.293118 + 1.165720I
a = 0.175575 − 0.384651I
b = −0.623205 − 0.522117I
−1.99631 + 1.14034I 9.14640 − 2.29277I
u = −0.293118 − 1.165720I
a = 0.175575 + 0.384651I
b = −0.623205 + 0.522117I
−1.99631 − 1.14034I 9.14640 + 2.29277I
u = 0.090891 + 0.747572I
a = 0.572301 − 0.965304I
b = −0.305856 − 0.563610I
−3.14946 + 0.01801I 2.81633 + 0.13630I
u = 0.090891 − 0.747572I
a = 0.572301 + 0.965304I
b = −0.305856 + 0.563610I
−3.14946 − 0.01801I 2.81633 − 0.13630I
u = −1.183150 + 0.401727I
a = 1.85556 − 0.64128I
b = 1.08537 − 1.48366I
6.14461 − 9.36627I 10.75984 + 8.88349I
u = −1.183150 − 0.401727I
a = 1.85556 + 0.64128I
b = 1.08537 + 1.48366I
6.14461 + 9.36627I 10.75984 − 8.88349I
u = −1.048090 + 0.787967I
a = 0.906795 + 0.753327I
b = 1.54890 − 0.35077I
8.57632 − 3.18163I 2.25808 + 0.79850I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.048090 − 0.787967I
a = 0.906795 − 0.753327I
b = 1.54890 + 0.35077I
8.57632 + 3.18163I 2.25808 − 0.79850I
u = −1.227430 + 0.512666I
a = −1.50670 + 0.22925I
b = −1.21211 + 1.20909I
1.46984 − 6.79869I 4.39700 + 4.53287I
u = −1.227430 − 0.512666I
a = −1.50670 − 0.22925I
b = −1.21211 − 1.20909I
1.46984 + 6.79869I 4.39700 − 4.53287I
u = 1.291350 + 0.321502I
a = 0.499050 − 0.580136I
b = 0.334075 + 0.176159I
5.90109 + 0.39790I 10.97943 − 2.43938I
u = 1.291350 − 0.321502I
a = 0.499050 + 0.580136I
b = 0.334075 − 0.176159I
5.90109 − 0.39790I 10.97943 + 2.43938I
u = −0.593380 + 0.107119I
a = −2.12636 + 1.33965I
b = −0.14566 + 1.90352I
3.41511 + 6.85182I 10.18527 − 5.74397I
u = −0.593380 − 0.107119I
a = −2.12636 − 1.33965I
b = −0.14566 − 1.90352I
3.41511 − 6.85182I 10.18527 + 5.74397I
u = −0.486279 + 0.096804I
a = 2.04271 + 1.94786I
b = 0.48506 + 1.47290I
−2.99318 − 3.91422I 3.70790 + 5.71015I
u = −0.486279 − 0.096804I
a = 2.04271 − 1.94786I
b = 0.48506 − 1.47290I
−2.99318 + 3.91422I 3.70790 − 5.71015I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
29
− 8u
28
+ ··· + 4u − 1)(u
133
− 5u
132
+ ··· − 161632u − 14048)
c
2
(u
29
− 3u
28
+ ··· − 6u + 1)(u
133
− 35u
131
+ ··· − 192u + 761)
c
3
(u
29
− 2u
28
+ ··· + 2u + 1)(u
133
− u
132
+ ··· − 4726716u − 515789)
c
4
(u
29
+ u
27
+ ··· − 6u + 1)(u
133
+ 3u
132
+ ··· + 41074u + 6061)
c
5
(u
29
− 2u
28
+ ··· + 2u + 1)(u
133
− u
132
+ ··· − 45568u − 71168)
c
6
(u
29
+ 3u
28
+ ··· − 6u − 1)(u
133
− 35u
131
+ ··· − 192u + 761)
c
7
, c
8
(u
29
− 16u
27
+ ··· − 14u − 1)(u
133
+ u
132
+ ··· − 20u − 1)
c
9
(u
29
− 2u
28
+ ··· − 13u
2
− 1)(u
133
− u
132
+ ··· − 546u − 43)
c
10
(u
29
+ u
28
+ ··· − 2u + 1)(u
133
− 2u
132
+ ··· − 540770u + 77627)
c
11
(u
29
+ 2u
28
+ ··· + 2u − 1)(u
133
− u
132
+ ··· − 45568u − 71168)
c
12
(u
29
− 16u
27
+ ··· − 14u + 1)(u
133
+ u
132
+ ··· − 20u − 1)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
29
− 22y
28
+ ··· − 6y −1)
· (y
133
+ 11y
132
+ ··· + 71281468928y −197346304)
c
2
, c
6
(y
29
− 11y
28
+ ··· + 18y −1)
· (y
133
− 70y
132
+ ··· + 16482074y −579121)
c
3
(y
29
− 28y
28
+ ··· + 28y −1)
· (y
133
+ 9y
132
+ ··· + 782897585812y −266038292521)
c
4
(y
29
+ 2y
28
+ ··· + 16y −1)
· (y
133
− 13y
132
+ ··· − 508705604y −36735721)
c
5
, c
11
(y
29
− 8y
28
+ ··· + 14y −1)
· (y
133
+ 49y
132
+ ··· − 137462939648y −5064884224)
c
7
, c
8
, c
12
(y
29
− 32y
28
+ ··· + 144y −1)(y
133
− 135y
132
+ ··· + 164y −1)
c
9
(y
29
− 10y
28
+ ··· − 26y −1)(y
133
− 17y
132
+ ··· + 624486y −1849)
c
10
(y
29
− 7y
28
+ ··· + 114y −1)
· (y
133
− 34y
132
+ ··· + 514331922226y −6025951129)
26
