12a
0611
(K12a
0611
)
A knot diagram
1
Linearized knot diagam
3 7 9 12 11 2 10 5 1 6 8 4
Solving Sequence
2,6
7
3,10
8 11 12 1 5 4 9
c
6
c
2
c
7
c
10
c
11
c
1
c
5
c
4
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h9.13312 × 10
361
u
148
− 1.51853 × 10
362
u
147
+ ··· + 8.68141 × 10
362
b − 9.20259 × 10
363
,
4.19476 × 10
364
u
148
− 8.08613 × 10
364
u
147
+ ··· + 1.61474 × 10
365
a + 3.78553 × 10
366
,
u
149
− 2u
148
+ ··· + 105u + 93i
I
u
2
= h54u
27
− 138u
26
+ ··· + 13b − 174, −36u
27
+ 40u
26
+ ··· + 13a + 25, u
28
− 2u
27
+ ··· − 3u + 1i
I
u
3
= hb − a − 1, a
3
+ 4a
2
+ 7a + 5, u + 1i
* 3 irreducible components of dim
C
= 0, with total 180 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
= h9.13 × 10
361
u
148
− 1.52 × 10
362
u
147
+ · · · + 8.68 × 10
362
b − 9.20 ×
10
363
, 4.19 × 10
364
u
148
− 8.09 × 10
364
u
147
+ · · · + 1.61 × 10
365
a + 3.79 ×
10
366
, u
149
− 2u
148
+ · · · + 105u + 93i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
−0.259779u
148
+ 0.500769u
147
+ ··· − 15.1768u − 23.4436
−0.105203u
148
+ 0.174917u
147
+ ··· + 90.1082u + 10.6003
a
8
=
0.00360016u
148
− 0.0517405u
147
+ ··· + 141.346u + 47.5754
−0.0929461u
148
+ 0.00270813u
147
+ ··· + 16.2736u − 0.477362
a
11
=
−0.154576u
148
+ 0.325852u
147
+ ··· − 105.285u − 34.0439
−0.105203u
148
+ 0.174917u
147
+ ··· + 90.1082u + 10.6003
a
12
=
0.0468139u
148
+ 0.0510239u
147
+ ··· + 61.5072u + 23.2256
−0.0175283u
148
− 0.125085u
147
+ ··· + 5.97799u − 1.90294
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
0.0459520u
148
+ 0.0568612u
147
+ ··· − 77.0611u − 35.6329
0.00726844u
148
+ 0.0815554u
147
+ ··· − 46.9332u − 22.2944
a
4
=
0.0162594u
148
− 0.201415u
147
+ ··· − 20.2519u + 16.5162
0.223761u
148
− 0.411051u
147
+ ··· − 58.8642u − 17.8281
a
9
=
−0.325654u
148
+ 0.818894u
147
+ ··· − 17.3532u − 13.0768
−0.102726u
148
+ 0.0936566u
147
+ ··· + 97.3876u + 9.56960
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.688479u
148
+ 1.43565u
147
+ ··· + 375.146u + 114.095
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
149
+ 56u
148
+ ··· + 296535u + 8649
c
2
, c
6
u
149
− 2u
148
+ ··· + 105u + 93
c
3
u
149
− u
148
+ ··· + 2245u + 181
c
4
, c
12
u
149
+ 6u
148
+ ··· + 79u + 1
c
5
, c
10
u
149
+ 2u
148
+ ··· − 3779u + 113
c
7
u
149
+ 10u
148
+ ··· + 30325383u + 3181516
c
8
u
149
+ 5u
148
+ ··· + 1104u + 48
c
9
u
149
+ 8u
148
+ ··· + 15407u + 3844
c
11
u
149
− 3u
148
+ ··· + 7u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
149
+ 72y
148
+ ··· + 8853694299y −74805201
c
2
, c
6
y
149
− 56y
148
+ ··· + 296535y −8649
c
3
y
149
− 3y
148
+ ··· + 466517y −32761
c
4
, c
12
y
149
+ 110y
148
+ ··· + 709y −1
c
5
, c
10
y
149
+ 114y
148
+ ··· − 5658461y −12769
c
7
y
149
+ 40y
148
+ ··· + 174252360290745y −10122044058256
c
8
y
149
+ 7y
148
+ ··· − 180096y −2304
c
9
y
149
− 20y
148
+ ··· + 533917185y −14776336
c
11
y
149
− 5y
148
+ ··· − 2703y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.968469 + 0.235445I
a = 0.383733 + 0.623501I
b = 0.403217 − 0.178671I
−4.22553 + 2.20818I 0
u = 0.968469 − 0.235445I
a = 0.383733 − 0.623501I
b = 0.403217 + 0.178671I
−4.22553 − 2.20818I 0
u = −0.640300 + 0.772807I
a = 0.803379 − 0.344187I
b = 0.331748 + 1.047570I
−0.04142 − 4.05732I 0
u = −0.640300 − 0.772807I
a = 0.803379 + 0.344187I
b = 0.331748 − 1.047570I
−0.04142 + 4.05732I 0
u = 0.699565 + 0.704970I
a = 1.069920 − 0.219227I
b = 0.805668 + 0.420642I
−1.96563 − 0.24185I 0
u = 0.699565 − 0.704970I
a = 1.069920 + 0.219227I
b = 0.805668 − 0.420642I
−1.96563 + 0.24185I 0
u = −0.827837 + 0.589865I
a = −1.04994 − 1.25770I
b = −1.159570 − 0.123204I
−0.36402 + 4.16944I 0
u = −0.827837 − 0.589865I
a = −1.04994 + 1.25770I
b = −1.159570 + 0.123204I
−0.36402 − 4.16944I 0
u = −0.824013 + 0.527857I
a = 0.747555 + 0.400726I
b = 0.832215 + 0.164773I
−0.365322 + 0.476907I 0
u = −0.824013 − 0.527857I
a = 0.747555 − 0.400726I
b = 0.832215 − 0.164773I
−0.365322 − 0.476907I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.526498 + 0.875430I
a = 0.107153 + 0.304455I
b = −0.590870 − 0.185138I
−2.59432 + 4.59273I 0
u = −0.526498 − 0.875430I
a = 0.107153 − 0.304455I
b = −0.590870 + 0.185138I
−2.59432 − 4.59273I 0
u = 0.714566 + 0.734165I
a = 0.286501 − 0.302094I
b = −0.091309 + 1.350030I
4.81717 − 1.31981I 0
u = 0.714566 − 0.734165I
a = 0.286501 + 0.302094I
b = −0.091309 − 1.350030I
4.81717 + 1.31981I 0
u = −0.984794 + 0.282534I
a = −1.53905 − 1.13501I
b = −0.413838 + 0.070302I
−7.05553 + 0.84983I 0
u = −0.984794 − 0.282534I
a = −1.53905 + 1.13501I
b = −0.413838 − 0.070302I
−7.05553 − 0.84983I 0
u = −0.825747 + 0.609487I
a = 0.918486 + 0.460716I
b = 0.950081 − 0.016109I
−0.392806 + 0.526558I 0
u = −0.825747 − 0.609487I
a = 0.918486 − 0.460716I
b = 0.950081 + 0.016109I
−0.392806 − 0.526558I 0
u = 0.860642 + 0.568093I
a = −1.84264 + 0.93586I
b = −0.07523 − 1.64011I
−1.09307 − 2.26272I 0
u = 0.860642 − 0.568093I
a = −1.84264 − 0.93586I
b = −0.07523 + 1.64011I
−1.09307 + 2.26272I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.803588 + 0.649713I
a = −0.419576 − 0.160156I
b = 0.42860 + 1.59171I
6.18278 − 0.66023I 0
u = −0.803588 − 0.649713I
a = −0.419576 + 0.160156I
b = 0.42860 − 1.59171I
6.18278 + 0.66023I 0
u = −0.515537 + 0.811811I
a = −0.195761 − 0.402466I
b = −1.030710 − 0.273295I
−2.71841 − 8.19281I 0
u = −0.515537 − 0.811811I
a = −0.195761 + 0.402466I
b = −1.030710 + 0.273295I
−2.71841 + 8.19281I 0
u = 0.749923 + 0.720134I
a = 0.1159100 + 0.0441175I
b = 0.50626 − 1.40796I
4.11574 + 5.05670I 0
u = 0.749923 − 0.720134I
a = 0.1159100 − 0.0441175I
b = 0.50626 + 1.40796I
4.11574 − 5.05670I 0
u = 0.843931 + 0.621675I
a = −0.75324 − 1.33079I
b = 0.016408 + 1.258060I
2.04435 − 7.80962I 0
u = 0.843931 − 0.621675I
a = −0.75324 + 1.33079I
b = 0.016408 − 1.258060I
2.04435 + 7.80962I 0
u = 0.614857 + 0.707173I
a = 0.657947 − 0.495014I
b = −0.0235396 − 0.0419572I
3.04411 − 0.49008I 0
u = 0.614857 − 0.707173I
a = 0.657947 + 0.495014I
b = −0.0235396 + 0.0419572I
3.04411 + 0.49008I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.061270 + 0.060244I
a = −1.56436 − 1.28089I
b = −0.363717 − 0.882385I
−5.88809 − 3.57709I 0
u = 1.061270 − 0.060244I
a = −1.56436 + 1.28089I
b = −0.363717 + 0.882385I
−5.88809 + 3.57709I 0
u = −1.038870 + 0.233922I
a = 1.79709 − 0.52310I
b = 0.82029 − 1.51104I
−3.99947 − 0.27695I 0
u = −1.038870 − 0.233922I
a = 1.79709 + 0.52310I
b = 0.82029 + 1.51104I
−3.99947 + 0.27695I 0
u = 0.911782 + 0.199111I
a = −1.76696 + 0.52732I
b = −0.383269 − 0.466773I
−3.26613 − 0.66224I 0
u = 0.911782 − 0.199111I
a = −1.76696 − 0.52732I
b = −0.383269 + 0.466773I
−3.26613 + 0.66224I 0
u = −0.833825 + 0.667958I
a = 0.038318 + 1.117750I
b = 0.014891 − 1.310330I
6.50540 + 4.42575I 0
u = −0.833825 − 0.667958I
a = 0.038318 − 1.117750I
b = 0.014891 + 1.310330I
6.50540 − 4.42575I 0
u = 0.500409 + 0.945676I
a = 0.234386 + 0.299924I
b = 0.093036 − 1.298950I
4.79305 + 4.31248I 0
u = 0.500409 − 0.945676I
a = 0.234386 − 0.299924I
b = 0.093036 + 1.298950I
4.79305 − 4.31248I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.867238 + 0.630962I
a = 2.95975 − 0.34566I
b = 0.014521 + 1.147190I
1.96855 + 2.90153I 0
u = 0.867238 − 0.630962I
a = 2.95975 + 0.34566I
b = 0.014521 − 1.147190I
1.96855 − 2.90153I 0
u = 0.567008 + 0.718904I
a = 0.505387 + 0.378998I
b = 0.278342 − 1.278840I
3.89964 + 3.17460I 0
u = 0.567008 − 0.718904I
a = 0.505387 − 0.378998I
b = 0.278342 + 1.278840I
3.89964 − 3.17460I 0
u = 0.238710 + 1.060760I
a = −0.143371 + 0.495180I
b = −0.307023 − 1.200370I
0.56832 − 8.02901I 0
u = 0.238710 − 1.060760I
a = −0.143371 − 0.495180I
b = −0.307023 + 1.200370I
0.56832 + 8.02901I 0
u = −0.819821 + 0.379396I
a = 0.067222 − 1.404120I
b = −0.239208 − 1.269010I
−2.14758 + 1.53177I 0
u = −0.819821 − 0.379396I
a = 0.067222 + 1.404120I
b = −0.239208 + 1.269010I
−2.14758 − 1.53177I 0
u = −0.873328 + 0.666062I
a = 2.19574 + 0.68805I
b = 0.040551 − 1.210860I
6.38250 + 0.73820I 0
u = −0.873328 − 0.666062I
a = 2.19574 − 0.68805I
b = 0.040551 + 1.210860I
6.38250 − 0.73820I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.725927 + 0.532040I
a = −1.75987 + 1.43543I
b = −1.23148 − 0.86374I
−1.11262 + 1.56706I 0
u = 0.725927 − 0.532040I
a = −1.75987 − 1.43543I
b = −1.23148 + 0.86374I
−1.11262 − 1.56706I 0
u = −0.897190 + 0.643875I
a = −2.22087 − 0.45588I
b = −0.56215 + 1.55242I
5.89079 + 5.70043I 0
u = −0.897190 − 0.643875I
a = −2.22087 + 0.45588I
b = −0.56215 − 1.55242I
5.89079 − 5.70043I 0
u = −0.890316 + 0.017945I
a = −2.60379 + 0.26146I
b = −0.392707 + 0.637237I
−6.79021 − 0.20713I 0
u = −0.890316 − 0.017945I
a = −2.60379 − 0.26146I
b = −0.392707 − 0.637237I
−6.79021 + 0.20713I 0
u = −0.932068 + 0.607658I
a = −1.013830 − 0.869016I
b = −0.824781 − 0.198469I
−0.81078 + 4.17939I 0
u = −0.932068 − 0.607658I
a = −1.013830 + 0.869016I
b = −0.824781 + 0.198469I
−0.81078 − 4.17939I 0
u = −0.581970 + 0.662107I
a = 1.079050 + 0.529205I
b = 0.154195 + 0.355303I
−0.18459 − 3.31040I 0
u = −0.581970 − 0.662107I
a = 1.079050 − 0.529205I
b = 0.154195 − 0.355303I
−0.18459 + 3.31040I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.597549 + 0.946086I
a = −0.149820 − 0.476322I
b = −0.45150 + 1.43955I
2.62701 + 13.48410I 0
u = 0.597549 − 0.946086I
a = −0.149820 + 0.476322I
b = −0.45150 − 1.43955I
2.62701 − 13.48410I 0
u = 0.999991 + 0.505277I
a = −1.56552 + 0.73591I
b = −0.758163 − 0.086571I
−5.60923 − 5.18227I 0
u = 0.999991 − 0.505277I
a = −1.56552 − 0.73591I
b = −0.758163 + 0.086571I
−5.60923 + 5.18227I 0
u = 0.562830 + 0.973738I
a = 0.254441 − 0.359420I
b = −0.441300 + 1.329930I
4.87071 + 0.96015I 0
u = 0.562830 − 0.973738I
a = 0.254441 + 0.359420I
b = −0.441300 − 1.329930I
4.87071 − 0.96015I 0
u = 0.970380 + 0.578531I
a = 0.029044 − 1.106320I
b = 1.23939 − 1.14368I
−1.94153 − 6.07820I 0
u = 0.970380 − 0.578531I
a = 0.029044 + 1.106320I
b = 1.23939 + 1.14368I
−1.94153 + 6.07820I 0
u = −0.950671 + 0.614865I
a = 0.181077 − 0.723377I
b = −0.188758 − 0.664537I
−2.68142 + 2.27315I 0
u = −0.950671 − 0.614865I
a = 0.181077 + 0.723377I
b = −0.188758 + 0.664537I
−2.68142 − 2.27315I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.607121 + 0.955843I
a = 0.009086 + 0.436225I
b = −0.43896 − 1.43616I
7.64389 − 7.71873I 0
u = −0.607121 − 0.955843I
a = 0.009086 − 0.436225I
b = −0.43896 + 1.43616I
7.64389 + 7.71873I 0
u = 0.861830 + 0.755597I
a = 1.05570 − 1.28169I
b = −0.008367 + 1.410760I
3.04492 − 2.85129I 0
u = 0.861830 − 0.755597I
a = 1.05570 + 1.28169I
b = −0.008367 − 1.410760I
3.04492 + 2.85129I 0
u = 0.460807 + 0.716338I
a = 0.164770 + 0.604121I
b = −0.971591 + 0.391045I
2.10180 + 2.59496I 0
u = 0.460807 − 0.716338I
a = 0.164770 − 0.604121I
b = −0.971591 − 0.391045I
2.10180 − 2.59496I 0
u = −1.149290 + 0.015829I
a = −0.663955 + 1.141830I
b = −0.146722 + 0.995766I
−1.61096 + 1.80364I 0
u = −1.149290 − 0.015829I
a = −0.663955 − 1.141830I
b = −0.146722 − 0.995766I
−1.61096 − 1.80364I 0
u = 0.942839 + 0.683725I
a = −2.18636 + 0.31917I
b = −0.59925 − 1.36812I
3.52814 − 10.43200I 0
u = 0.942839 − 0.683725I
a = −2.18636 − 0.31917I
b = −0.59925 + 1.36812I
3.52814 + 10.43200I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.173640 + 0.007990I
a = 1.60365 + 0.16513I
b = 1.039920 − 0.069467I
−8.69998 − 6.47204I 0
u = 1.173640 − 0.007990I
a = 1.60365 − 0.16513I
b = 1.039920 + 0.069467I
−8.69998 + 6.47204I 0
u = −0.861892 + 0.803184I
a = 0.883255 + 0.278665I
b = 0.04406 − 1.46040I
5.03455 + 2.98722I 0
u = −0.861892 − 0.803184I
a = 0.883255 − 0.278665I
b = 0.04406 + 1.46040I
5.03455 − 2.98722I 0
u = 0.948334 + 0.700138I
a = 1.55327 − 0.21159I
b = 0.209534 + 1.274200I
4.13419 − 4.14616I 0
u = 0.948334 − 0.700138I
a = 1.55327 + 0.21159I
b = 0.209534 − 1.274200I
4.13419 + 4.14616I 0
u = 0.971391 + 0.669796I
a = −0.716778 + 0.992318I
b = −0.799521 + 0.533351I
−2.78028 − 5.05494I 0
u = 0.971391 − 0.669796I
a = −0.716778 − 0.992318I
b = −0.799521 − 0.533351I
−2.78028 + 5.05494I 0
u = −1.180020 + 0.119174I
a = 1.41531 + 0.05869I
b = 1.187370 − 0.427900I
−2.98345 − 0.49214I 0
u = −1.180020 − 0.119174I
a = 1.41531 − 0.05869I
b = 1.187370 + 0.427900I
−2.98345 + 0.49214I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.804737 + 0.079022I
a = −0.76566 + 3.04846I
b = −0.376812 + 1.038960I
−0.70905 + 6.44985I 0
u = −0.804737 − 0.079022I
a = −0.76566 − 3.04846I
b = −0.376812 − 1.038960I
−0.70905 − 6.44985I 0
u = −1.051190 + 0.568569I
a = −2.46626 + 0.21894I
b = −0.330082 + 1.325630I
−1.17272 + 9.13022I 0
u = −1.051190 − 0.568569I
a = −2.46626 − 0.21894I
b = −0.330082 − 1.325630I
−1.17272 − 9.13022I 0
u = −1.028040 + 0.618874I
a = −1.122520 + 0.269340I
b = −0.283854 + 0.113261I
−1.51137 + 8.33438I 0
u = −1.028040 − 0.618874I
a = −1.122520 − 0.269340I
b = −0.283854 − 0.113261I
−1.51137 − 8.33438I 0
u = 1.014040 + 0.644530I
a = −0.516228 − 0.108633I
b = −0.181105 + 0.157182I
1.86184 − 4.72156I 0
u = 1.014040 − 0.644530I
a = −0.516228 + 0.108633I
b = −0.181105 − 0.157182I
1.86184 + 4.72156I 0
u = 1.189850 + 0.234820I
a = −0.19095 + 1.54067I
b = −0.214967 + 1.241180I
−3.39478 + 1.71880I 0
u = 1.189850 − 0.234820I
a = −0.19095 − 1.54067I
b = −0.214967 − 1.241180I
−3.39478 − 1.71880I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.165846 + 1.203060I
a = 0.147753 − 0.384742I
b = −0.291666 + 1.055690I
4.33122 + 1.41234I 0
u = 0.165846 − 1.203060I
a = 0.147753 + 0.384742I
b = −0.291666 − 1.055690I
4.33122 − 1.41234I 0
u = 1.033890 + 0.656471I
a = −2.15557 + 0.11941I
b = −0.363230 − 1.238360I
2.55084 − 8.47427I 0
u = 1.033890 − 0.656471I
a = −2.15557 − 0.11941I
b = −0.363230 + 1.238360I
2.55084 + 8.47427I 0
u = −1.020290 + 0.687779I
a = −2.22221 − 0.30179I
b = −0.395392 + 1.046340I
−1.17836 + 9.59719I 0
u = −1.020290 − 0.687779I
a = −2.22221 + 0.30179I
b = −0.395392 − 1.046340I
−1.17836 − 9.59719I 0
u = −0.665463 + 0.386185I
a = 1.29096 − 0.96390I
b = 0.238934 + 1.338060I
0.45166 − 4.89782I 0
u = −0.665463 − 0.386185I
a = 1.29096 + 0.96390I
b = 0.238934 − 1.338060I
0.45166 + 4.89782I 0
u = 1.061740 + 0.623629I
a = 1.25544 − 0.79404I
b = 1.292730 + 0.408847I
0.40304 − 7.73345I 0
u = 1.061740 − 0.623629I
a = 1.25544 + 0.79404I
b = 1.292730 − 0.408847I
0.40304 + 7.73345I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.643284 + 1.058080I
a = −0.001010 − 0.458889I
b = 0.003974 + 1.201920I
6.53065 + 0.60390I 0
u = −0.643284 − 1.058080I
a = −0.001010 + 0.458889I
b = 0.003974 − 1.201920I
6.53065 − 0.60390I 0
u = 0.936650 + 0.837252I
a = −0.871265 + 1.072860I
b = −0.058389 − 1.083000I
−1.54680 − 3.16007I 0
u = 0.936650 − 0.837252I
a = −0.871265 − 1.072860I
b = −0.058389 + 1.083000I
−1.54680 + 3.16007I 0
u = 1.234500 + 0.235107I
a = 1.123610 + 0.635376I
b = 0.527835 + 1.164210I
−0.30543 − 6.28674I 0
u = 1.234500 − 0.235107I
a = 1.123610 − 0.635376I
b = 0.527835 − 1.164210I
−0.30543 + 6.28674I 0
u = −1.072910 + 0.659837I
a = 1.21050 + 0.84701I
b = 1.187950 − 0.267207I
−4.3673 + 13.7028I 0
u = −1.072910 − 0.659837I
a = 1.21050 − 0.84701I
b = 1.187950 + 0.267207I
−4.3673 − 13.7028I 0
u = −1.253330 + 0.163558I
a = 1.17912 − 0.87744I
b = 0.500708 − 1.266040I
−4.97787 + 11.87120I 0
u = −1.253330 − 0.163558I
a = 1.17912 + 0.87744I
b = 0.500708 + 1.266040I
−4.97787 − 11.87120I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.264200 + 0.075184I
a = −0.223177 − 1.178110I
b = −0.059435 − 1.133950I
−1.76421 − 1.70214I 0
u = −1.264200 − 0.075184I
a = −0.223177 + 1.178110I
b = −0.059435 + 1.133950I
−1.76421 + 1.70214I 0
u = 0.709899 + 0.072206I
a = 0.13391 + 2.74398I
b = −0.449164 + 1.066840I
2.96754 + 2.18336I −8.00000 + 0.I
u = 0.709899 − 0.072206I
a = 0.13391 − 2.74398I
b = −0.449164 − 1.066840I
2.96754 − 2.18336I −8.00000 + 0.I
u = −1.127320 + 0.638697I
a = 0.877585 + 0.557578I
b = 0.707134 − 0.517601I
−4.52310 + 1.15261I 0
u = −1.127320 − 0.638697I
a = 0.877585 − 0.557578I
b = 0.707134 + 0.517601I
−4.52310 − 1.15261I 0
u = 1.101310 + 0.733113I
a = 1.92544 − 0.34871I
b = 0.50246 + 1.47193I
1.0578 − 19.6388I 0
u = 1.101310 − 0.733113I
a = 1.92544 + 0.34871I
b = 0.50246 − 1.47193I
1.0578 + 19.6388I 0
u = −1.098440 + 0.738903I
a = 1.78989 + 0.33577I
b = 0.50902 − 1.48381I
6.1066 + 13.9156I 0
u = −1.098440 − 0.738903I
a = 1.78989 − 0.33577I
b = 0.50902 + 1.48381I
6.1066 − 13.9156I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.109150 + 0.729914I
a = 1.55004 − 0.34417I
b = 0.58869 + 1.47910I
3.18570 − 7.14451I 0
u = 1.109150 − 0.729914I
a = 1.55004 + 0.34417I
b = 0.58869 − 1.47910I
3.18570 + 7.14451I 0
u = 1.139870 + 0.700164I
a = −1.59884 − 0.17219I
b = −0.186583 − 1.287450I
2.83189 − 10.33880I 0
u = 1.139870 − 0.700164I
a = −1.59884 + 0.17219I
b = −0.186583 + 1.287450I
2.83189 + 10.33880I 0
u = −0.361611 + 0.551503I
a = 0.926048 + 0.058500I
b = 0.186060 − 0.885008I
−1.46722 + 2.05893I −8.00000 − 4.28910I
u = −0.361611 − 0.551503I
a = 0.926048 − 0.058500I
b = 0.186060 + 0.885008I
−1.46722 − 2.05893I −8.00000 + 4.28910I
u = −1.113840 + 0.785512I
a = −1.284420 − 0.169168I
b = −0.117359 + 1.204010I
5.00915 + 6.01263I 0
u = −1.113840 − 0.785512I
a = −1.284420 + 0.169168I
b = −0.117359 − 1.204010I
5.00915 − 6.01263I 0
u = −0.174999 + 0.606651I
a = 0.767731 − 0.082329I
b = 0.277428 + 1.328150I
0.79983 − 4.72707I −8.00000 + 2.09306I
u = −0.174999 − 0.606651I
a = 0.767731 + 0.082329I
b = 0.277428 − 1.328150I
0.79983 + 4.72707I −8.00000 − 2.09306I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.312960 + 0.394512I
a = −0.310322 − 0.509199I
b = 0.220353 − 1.002420I
−3.31466 + 2.45716I 0
u = 1.312960 − 0.394512I
a = −0.310322 + 0.509199I
b = 0.220353 + 1.002420I
−3.31466 − 2.45716I 0
u = 0.252749 + 0.495463I
a = 1.043130 − 0.075032I
b = 0.679083 − 0.148121I
−3.82044 + 1.25455I −12.08684 − 1.42676I
u = 0.252749 − 0.495463I
a = 1.043130 + 0.075032I
b = 0.679083 + 0.148121I
−3.82044 − 1.25455I −12.08684 + 1.42676I
u = 0.449633 + 0.024802I
a = 1.208180 − 0.053232I
b = 0.210753 − 1.353780I
3.78005 + 2.39489I −11.26854 − 5.10796I
u = 0.449633 − 0.024802I
a = 1.208180 + 0.053232I
b = 0.210753 + 1.353780I
3.78005 − 2.39489I −11.26854 + 5.10796I
u = −0.115718 + 0.315616I
a = 3.08929 + 0.97798I
b = −0.472676 − 0.841492I
−1.23622 + 2.57639I −8.68114 + 0.09957I
u = −0.115718 − 0.315616I
a = 3.08929 − 0.97798I
b = −0.472676 + 0.841492I
−1.23622 − 2.57639I −8.68114 − 0.09957I
u = −0.331795
a = 0.980558
b = 0.461666
−0.718264 −13.7590
19
II. I
u
2
= h54u
27
− 138u
26
+ · · · + 13b − 174, −36u
27
+ 40u
26
+ · · · + 13a +
25, u
28
− 2u
27
+ · · · − 3u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
2.76923u
27
− 3.07692u
26
+ ··· + 8.84615u − 1.92308
−4.15385u
27
+ 10.6154u
26
+ ··· − 22.7692u + 13.3846
a
8
=
−2.46154u
27
+ 1.76923u
26
+ ··· − 1.69231u − 5.76923
−1.92308u
27
+ 2.76923u
26
+ ··· − 9.23077u + 3.23077
a
11
=
6.92308u
27
− 13.6923u
26
+ ··· + 31.6154u − 15.3077
−4.15385u
27
+ 10.6154u
26
+ ··· − 22.7692u + 13.3846
a
12
=
−8.92308u
27
+ 8.84615u
26
+ ··· − 13.8462u − 1.84615
5.30769u
27
− 7.46154u
26
+ ··· + 9.38462u − 1.53846
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
1.07692u
27
+ 2.92308u
26
+ ··· − 14.4615u + 12.0769
4.84615u
27
− 8.76923u
26
+ ··· + 21.3077u − 9.23077
a
4
=
3.69231u
27
− 6.23077u
26
+ ··· + 18.1538u − 5.76923
4.15385u
27
− 3.69231u
26
+ ··· + 8.38462u − 0.307692
a
9
=
0.769231u
27
− 1.07692u
26
+ ··· + 5.84615u − 0.923077
−4.15385u
27
+ 10.6154u
26
+ ··· − 22.7692u + 13.3846
(ii) Obstruction class = 1
(iii) Cusp Shapes =
189
13
u
27
−
19
13
u
26
+ ··· +
353
13
u +
45
13
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
28
− 10u
27
+ ··· − 7u + 1
c
2
u
28
+ 2u
27
+ ··· + 3u + 1
c
3
u
28
+ 2u
27
+ ··· + 9u + 1
c
4
u
28
− 2u
27
+ ··· − 16u + 1
c
5
u
28
+ 11u
26
+ ··· + 8u + 1
c
6
u
28
− 2u
27
+ ··· − 3u + 1
c
7
u
28
− 10u
27
+ ··· − 12u + 1
c
8
u
28
− u
26
+ ··· − 85u + 23
c
9
u
28
+ 2u
27
+ ··· + 3u + 1
c
10
u
28
+ 11u
26
+ ··· − 8u + 1
c
11
u
28
− 3u
27
+ ··· + 6u + 1
c
12
u
28
+ 2u
27
+ ··· + 16u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 10y
27
+ ··· + 29y + 1
c
2
, c
6
y
28
− 10y
27
+ ··· − 7y + 1
c
3
y
28
− 10y
27
+ ··· − 23y + 1
c
4
, c
12
y
28
+ 22y
27
+ ··· − 86y + 1
c
5
, c
10
y
28
+ 22y
27
+ ··· + 644y
2
+ 1
c
7
y
28
+ 22y
27
+ ··· + 298y + 1
c
8
y
28
− 2y
27
+ ··· − 8881y + 529
c
9
y
28
− 2y
27
+ ··· + 19y + 1
c
11
y
28
+ 3y
27
+ ··· + 2y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.760265 + 0.600861I
a = 1.81899 − 0.75747I
b = 0.929502 + 0.677545I
−0.593813 + 1.180380I −5.48918 + 0.67459I
u = 0.760265 − 0.600861I
a = 1.81899 + 0.75747I
b = 0.929502 − 0.677545I
−0.593813 − 1.180380I −5.48918 − 0.67459I
u = 0.870439 + 0.258699I
a = −2.20122 + 0.69362I
b = −0.113893 − 0.559383I
−6.28821 − 1.13742I −10.26503 + 6.20327I
u = 0.870439 − 0.258699I
a = −2.20122 − 0.69362I
b = −0.113893 + 0.559383I
−6.28821 + 1.13742I −10.26503 − 6.20327I
u = −0.648925 + 0.608694I
a = 1.408730 + 0.018404I
b = 0.274314 + 1.229080I
1.52292 − 5.00456I −4.48925 + 5.03588I
u = −0.648925 − 0.608694I
a = 1.408730 − 0.018404I
b = 0.274314 − 1.229080I
1.52292 + 5.00456I −4.48925 − 5.03588I
u = −1.089090 + 0.217902I
a = −1.258200 + 0.065467I
b = −0.694032 + 0.864541I
−3.48299 − 0.36994I −13.19690 + 3.88442I
u = −1.089090 − 0.217902I
a = −1.258200 − 0.065467I
b = −0.694032 − 0.864541I
−3.48299 + 0.36994I −13.19690 − 3.88442I
u = 0.950748 + 0.609511I
a = −0.566593 + 0.714378I
b = −0.933670 + 0.761819I
−1.21458 − 5.97135I −6.68179 + 7.05589I
u = 0.950748 − 0.609511I
a = −0.566593 − 0.714378I
b = −0.933670 − 0.761819I
−1.21458 + 5.97135I −6.68179 − 7.05589I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.840887 + 0.762846I
a = 0.893824 + 0.618875I
b = 0.059961 − 1.389780I
6.36154 + 2.87201I 0.38553 − 2.61578I
u = −0.840887 − 0.762846I
a = 0.893824 − 0.618875I
b = 0.059961 + 1.389780I
6.36154 − 2.87201I 0.38553 + 2.61578I
u = 0.290965 + 1.097550I
a = −0.183539 + 0.311861I
b = 0.341399 − 1.111670I
4.52501 + 1.51102I 5.3965 − 13.4695I
u = 0.290965 − 1.097550I
a = −0.183539 − 0.311861I
b = 0.341399 + 1.111670I
4.52501 − 1.51102I 5.3965 + 13.4695I
u = −0.903958 + 0.705478I
a = −0.327090 − 0.952997I
b = −0.151464 − 0.117151I
−3.59527 + 2.74601I −16.0232 − 3.6674I
u = −0.903958 − 0.705478I
a = −0.327090 + 0.952997I
b = −0.151464 + 0.117151I
−3.59527 − 2.74601I −16.0232 + 3.6674I
u = −1.026790 + 0.621915I
a = −2.41992 + 0.39285I
b = −0.303100 + 1.172980I
0.31915 + 9.92085I −7.25826 − 10.05573I
u = −1.026790 − 0.621915I
a = −2.41992 − 0.39285I
b = −0.303100 − 1.172980I
0.31915 − 9.92085I −7.25826 + 10.05573I
u = −0.627934 + 0.449282I
a = −0.64144 + 1.49943I
b = 0.739917 + 0.574114I
−1.45014 + 3.44320I −11.08955 − 6.88902I
u = −0.627934 − 0.449282I
a = −0.64144 − 1.49943I
b = 0.739917 − 0.574114I
−1.45014 − 3.44320I −11.08955 + 6.88902I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.087760 + 0.661338I
a = −1.63525 + 0.12340I
b = −0.515861 − 1.218870I
2.30226 − 7.07429I −8.20571 + 6.17033I
u = 1.087760 − 0.661338I
a = −1.63525 − 0.12340I
b = −0.515861 + 1.218870I
2.30226 + 7.07429I −8.20571 − 6.17033I
u = 1.247980 + 0.255032I
a = 0.209525 + 1.291120I
b = −0.154446 + 1.141960I
−2.20019 + 2.63616I −7.82989 − 6.93413I
u = 1.247980 − 0.255032I
a = 0.209525 − 1.291120I
b = −0.154446 − 1.141960I
−2.20019 − 2.63616I −7.82989 + 6.93413I
u = 0.447693 + 0.523289I
a = −0.92045 − 1.19003I
b = 0.183820 + 1.238340I
1.07911 − 6.19329I −6.98103 + 6.04820I
u = 0.447693 − 0.523289I
a = −0.92045 + 1.19003I
b = 0.183820 − 1.238340I
1.07911 + 6.19329I −6.98103 − 6.04820I
u = 0.481727 + 0.459215I
a = −0.177352 − 0.622155I
b = 0.337552 − 1.306010I
4.36012 + 1.95378I −0.772140 + 0.635821I
u = 0.481727 − 0.459215I
a = −0.177352 + 0.622155I
b = 0.337552 + 1.306010I
4.36012 − 1.95378I −0.772140 − 0.635821I
27
III. I
u
3
= hb − a − 1, a
3
+ 4a
2
+ 7a + 5, u + 1i
(i) Arc colorings
a
2
=
0
−1
a
6
=
1
0
a
7
=
1
1
a
3
=
1
0
a
10
=
a
a + 1
a
8
=
a + 1
a + 2
a
11
=
−1
a + 1
a
12
=
a + 1
−a
2
− a
a
1
=
−1
−1
a
5
=
a + 2
−a
2
− 2a − 1
a
4
=
a
2
+ 3a + 3
a
2
+ 4a + 4
a
9
=
a + 1
a + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = a
2
+ 2a − 11
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
c
9
(u − 1)
3
c
3
u
3
− 2u
2
+ 3u − 1
c
4
, c
5
u
3
+ u
2
+ 2u + 1
c
6
(u + 1)
3
c
8
u
3
c
10
, c
12
u
3
− u
2
+ 2u − 1
c
11
u
3
− u
2
+ 1
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
9
(y −1)
3
c
3
y
3
+ 2y
2
+ 5y −1
c
4
, c
5
, c
10
c
12
y
3
+ 3y
2
+ 2y −1
c
8
y
3
c
11
y
3
− y
2
+ 2y −1
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.56984
b = −0.569840
−3.28987 −11.6750
u = −1.00000
a = −1.21508 + 1.30714I
b = −0.215080 + 1.307140I
−3.28987 −13.66236 − 0.56228I
u = −1.00000
a = −1.21508 − 1.30714I
b = −0.215080 − 1.307140I
−3.28987 −13.66236 + 0.56228I
31
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
3
)(u
28
− 10u
27
+ ··· − 7u + 1)
· (u
149
+ 56u
148
+ ··· + 296535u + 8649)
c
2
((u − 1)
3
)(u
28
+ 2u
27
+ ··· + 3u + 1)(u
149
− 2u
148
+ ··· + 105u + 93)
c
3
(u
3
− 2u
2
+ 3u − 1)(u
28
+ 2u
27
+ ··· + 9u + 1)
· (u
149
− u
148
+ ··· + 2245u + 181)
c
4
(u
3
+ u
2
+ 2u + 1)(u
28
− 2u
27
+ ··· − 16u + 1)
· (u
149
+ 6u
148
+ ··· + 79u + 1)
c
5
(u
3
+ u
2
+ 2u + 1)(u
28
+ 11u
26
+ ··· + 8u + 1)
· (u
149
+ 2u
148
+ ··· − 3779u + 113)
c
6
((u + 1)
3
)(u
28
− 2u
27
+ ··· − 3u + 1)(u
149
− 2u
148
+ ··· + 105u + 93)
c
7
((u − 1)
3
)(u
28
− 10u
27
+ ··· − 12u + 1)
· (u
149
+ 10u
148
+ ··· + 30325383u + 3181516)
c
8
u
3
(u
28
− u
26
+ ··· − 85u + 23)(u
149
+ 5u
148
+ ··· + 1104u + 48)
c
9
((u − 1)
3
)(u
28
+ 2u
27
+ ··· + 3u + 1)
· (u
149
+ 8u
148
+ ··· + 15407u + 3844)
c
10
(u
3
− u
2
+ 2u − 1)(u
28
+ 11u
26
+ ··· − 8u + 1)
· (u
149
+ 2u
148
+ ··· − 3779u + 113)
c
11
(u
3
− u
2
+ 1)(u
28
− 3u
27
+ ··· + 6u + 1)(u
149
− 3u
148
+ ··· + 7u + 1)
c
12
(u
3
− u
2
+ 2u − 1)(u
28
+ 2u
27
+ ··· + 16u + 1)
· (u
149
+ 6u
148
+ ··· + 79u + 1)
32
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
3
)(y
28
+ 10y
27
+ ··· + 29y + 1)
· (y
149
+ 72y
148
+ ··· + 8853694299y −74805201)
c
2
, c
6
((y −1)
3
)(y
28
− 10y
27
+ ··· − 7y + 1)
· (y
149
− 56y
148
+ ··· + 296535y −8649)
c
3
(y
3
+ 2y
2
+ 5y −1)(y
28
− 10y
27
+ ··· − 23y + 1)
· (y
149
− 3y
148
+ ··· + 466517y −32761)
c
4
, c
12
(y
3
+ 3y
2
+ 2y −1)(y
28
+ 22y
27
+ ··· − 86y + 1)
· (y
149
+ 110y
148
+ ··· + 709y −1)
c
5
, c
10
(y
3
+ 3y
2
+ 2y −1)(y
28
+ 22y
27
+ ··· + 644y
2
+ 1)
· (y
149
+ 114y
148
+ ··· − 5658461y −12769)
c
7
((y −1)
3
)(y
28
+ 22y
27
+ ··· + 298y + 1)
· (y
149
+ 40y
148
+ ··· + 174252360290745y −10122044058256)
c
8
y
3
(y
28
− 2y
27
+ ··· − 8881y + 529)
· (y
149
+ 7y
148
+ ··· − 180096y −2304)
c
9
((y −1)
3
)(y
28
− 2y
27
+ ··· + 19y + 1)
· (y
149
− 20y
148
+ ··· + 533917185y −14776336)
c
11
(y
3
− y
2
+ 2y −1)(y
28
+ 3y
27
+ ··· + 2y + 1)
· (y
149
− 5y
148
+ ··· − 2703y −1)
33
