12a
0488
(K12a
0488
)
A knot diagram
1
Linearized knot diagam
3 6 11 12 8 2 10 1 5 7 4 9
Solving Sequence
2,7
6
3,11
4 12 1 10 8 5 9
c
6
c
2
c
3
c
11
c
1
c
10
c
7
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.65087 × 10
248
u
118
+ 2.72906 × 10
248
u
117
+ ··· + 2.57855 × 10
249
b + 1.16888 × 10
250
,
1.43063 × 10
250
u
118
− 6.87154 × 10
249
u
117
+ ··· + 4.89925 × 10
250
a − 3.41245 × 10
250
,
u
119
+ 30u
117
+ ··· − 45u + 19i
I
u
2
= h13267248u
31
+ 55919199u
30
+ ··· + 2842907b + 19270283,
9664909u
31
+ 35225564u
30
+ ··· + 2842907a + 34133711, u
32
+ 3u
31
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 151 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−1.65 × 10
248
u
118
+ 2.73 × 10
248
u
117
+ · · · + 2.58 × 10
249
b + 1.17 ×
10
250
, 1.43 × 10
250
u
118
− 6.87 × 10
249
u
117
+ · · · + 4.90 × 10
250
a − 3.41 ×
10
250
, u
119
+ 30u
117
+ · · · − 45u + 19i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
−0.292010u
118
+ 0.140257u
117
+ ··· − 3.40277u + 0.696526
0.0640231u
118
− 0.105837u
117
+ ··· + 5.52131u − 4.53310
a
4
=
0.762522u
118
+ 0.270935u
117
+ ··· + 39.1067u − 1.83376
−0.352113u
118
+ 0.127974u
117
+ ··· − 14.0857u + 0.578793
a
12
=
−0.245358u
118
− 0.0980200u
117
+ ··· − 29.2465u + 7.46517
−0.667052u
118
− 0.0422577u
117
+ ··· − 19.9808u + 0.289591
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−0.356033u
118
+ 0.246094u
117
+ ··· − 8.92408u + 5.22962
0.0640231u
118
− 0.105837u
117
+ ··· + 5.52131u − 4.53310
a
8
=
−0.0171301u
118
− 0.576448u
117
+ ··· + 57.5877u − 21.0304
0.146326u
118
+ 0.138789u
117
+ ··· − 4.58356u − 0.367599
a
5
=
−0.233262u
118
+ 0.761502u
117
+ ··· − 46.6619u + 20.3764
0.272002u
118
+ 0.183648u
117
+ ··· − 4.44302u + 5.56541
a
9
=
−0.0232125u
118
− 0.478908u
117
+ ··· + 49.3275u − 17.7018
0.171123u
118
+ 0.0186106u
117
+ ··· + 8.48928u − 4.65434
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.15974u
118
+ 0.0943856u
117
+ ··· + 31.1713u + 1.75865
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
119
+ 60u
118
+ ··· − 4929u − 361
c
2
, c
6
u
119
+ 30u
117
+ ··· − 45u + 19
c
3
, c
4
, c
11
u
119
+ 3u
118
+ ··· − 236u + 29
c
5
u
119
− 8u
118
+ ··· + 84246u − 6676
c
7
, c
10
u
119
+ 6u
118
+ ··· − 1800u − 200
c
8
, c
12
u
119
− 3u
118
+ ··· − 1224u + 2727
c
9
u
119
+ 2u
118
+ ··· − 715329093u − 124700713
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
119
+ 12y
118
+ ··· + 9244951y −130321
c
2
, c
6
y
119
+ 60y
118
+ ··· − 4929y −361
c
3
, c
4
, c
11
y
119
− 131y
118
+ ··· − 91218y −841
c
5
y
119
− 30y
118
+ ··· + 2009862604y −44568976
c
7
, c
10
y
119
+ 84y
118
+ ··· − 1890400y −40000
c
8
, c
12
y
119
+ 89y
118
+ ··· − 366139602y −7436529
c
9
y
119
− 62y
118
+ ··· + 559579641828065865y −15550267822708369
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.078496 + 1.006620I
a = −0.066856 + 0.754688I
b = 0.594329 + 0.314337I
−5.14761 + 1.62016I 0
u = −0.078496 − 1.006620I
a = −0.066856 − 0.754688I
b = 0.594329 − 0.314337I
−5.14761 − 1.62016I 0
u = 0.915404 + 0.371979I
a = −0.64387 + 1.32526I
b = −0.52974 + 1.37782I
−6.73097 − 5.70611I 0
u = 0.915404 − 0.371979I
a = −0.64387 − 1.32526I
b = −0.52974 − 1.37782I
−6.73097 + 5.70611I 0
u = −0.971804 + 0.146641I
a = −1.073250 + 0.068787I
b = −0.607735 + 0.718070I
−4.79116 − 2.35384I 0
u = −0.971804 − 0.146641I
a = −1.073250 − 0.068787I
b = −0.607735 − 0.718070I
−4.79116 + 2.35384I 0
u = 0.610950 + 0.757773I
a = 0.088819 + 1.042710I
b = −0.365398 + 0.311650I
0.348231 + 0.671437I 0
u = 0.610950 − 0.757773I
a = 0.088819 − 1.042710I
b = −0.365398 − 0.311650I
0.348231 − 0.671437I 0
u = −0.959729 + 0.055167I
a = 0.740938 − 0.325683I
b = 0.188991 − 0.919450I
−3.27901 − 1.00446I 0
u = −0.959729 − 0.055167I
a = 0.740938 + 0.325683I
b = 0.188991 + 0.919450I
−3.27901 + 1.00446I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.483520 + 0.920992I
a = −0.761211 − 1.077530I
b = −1.178340 − 0.167584I
1.52635 − 2.31331I 0
u = −0.483520 − 0.920992I
a = −0.761211 + 1.077530I
b = −1.178340 + 0.167584I
1.52635 + 2.31331I 0
u = 0.557621 + 0.879341I
a = −1.156820 − 0.285053I
b = −0.682531 − 0.473571I
−0.04577 + 3.96034I 0
u = 0.557621 − 0.879341I
a = −1.156820 + 0.285053I
b = −0.682531 + 0.473571I
−0.04577 − 3.96034I 0
u = 1.022200 + 0.281034I
a = 0.758036 − 0.978664I
b = 0.53987 − 1.35453I
−11.3125 − 11.9691I 0
u = 1.022200 − 0.281034I
a = 0.758036 + 0.978664I
b = 0.53987 + 1.35453I
−11.3125 + 11.9691I 0
u = 0.001806 + 0.927592I
a = 0.78130 − 2.73177I
b = 0.345980 + 0.917689I
−9.46778 + 4.21449I 0
u = 0.001806 − 0.927592I
a = 0.78130 + 2.73177I
b = 0.345980 − 0.917689I
−9.46778 − 4.21449I 0
u = −0.297606 + 1.031700I
a = 0.945429 + 0.802633I
b = −0.094023 − 1.195090I
−4.19251 + 1.14824I 0
u = −0.297606 − 1.031700I
a = 0.945429 − 0.802633I
b = −0.094023 + 1.195090I
−4.19251 − 1.14824I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.690673 + 0.825474I
a = 0.150303 − 0.265933I
b = 0.425489 + 0.705888I
−5.15633 − 4.20772I 0
u = −0.690673 − 0.825474I
a = 0.150303 + 0.265933I
b = 0.425489 − 0.705888I
−5.15633 + 4.20772I 0
u = −0.861339 + 0.322459I
a = 0.654805 + 0.598022I
b = 0.445085 + 1.258140I
−4.09112 + 7.73397I 0
u = −0.861339 − 0.322459I
a = 0.654805 − 0.598022I
b = 0.445085 − 1.258140I
−4.09112 − 7.73397I 0
u = 0.755924 + 0.473545I
a = −0.289346 − 0.331743I
b = −0.254049 − 0.757979I
0.21533 + 1.51725I 0
u = 0.755924 − 0.473545I
a = −0.289346 + 0.331743I
b = −0.254049 + 0.757979I
0.21533 − 1.51725I 0
u = −0.247532 + 1.081640I
a = −1.69931 − 0.65268I
b = −0.211828 − 0.379548I
−10.56410 − 5.20427I 0
u = −0.247532 − 1.081640I
a = −1.69931 + 0.65268I
b = −0.211828 + 0.379548I
−10.56410 + 5.20427I 0
u = 0.391633 + 1.039930I
a = −1.14573 + 1.23527I
b = −0.344583 − 1.276950I
−3.11586 + 3.83174I 0
u = 0.391633 − 1.039930I
a = −1.14573 − 1.23527I
b = −0.344583 + 1.276950I
−3.11586 − 3.83174I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.346137 + 1.071550I
a = 0.095834 + 0.830795I
b = −0.11817 − 1.56259I
−14.9180 + 0.0272I 0
u = −0.346137 − 1.071550I
a = 0.095834 − 0.830795I
b = −0.11817 + 1.56259I
−14.9180 − 0.0272I 0
u = 0.624726 + 0.597146I
a = 0.588397 + 0.077030I
b = 0.382126 − 0.228734I
−0.091081 + 1.070900I 0
u = 0.624726 − 0.597146I
a = 0.588397 − 0.077030I
b = 0.382126 + 0.228734I
−0.091081 − 1.070900I 0
u = −0.480364 + 0.710793I
a = −1.43891 − 0.64056I
b = −0.977189 + 0.403194I
2.15917 − 1.67533I 0
u = −0.480364 − 0.710793I
a = −1.43891 + 0.64056I
b = −0.977189 − 0.403194I
2.15917 + 1.67533I 0
u = 0.397106 + 1.070930I
a = −2.06076 + 1.01698I
b = −0.018775 − 1.148820I
−7.02483 + 1.08003I 0
u = 0.397106 − 1.070930I
a = −2.06076 − 1.01698I
b = −0.018775 + 1.148820I
−7.02483 − 1.08003I 0
u = −0.449317 + 1.052270I
a = 0.803311 + 0.104774I
b = 0.510546 + 0.420152I
−5.15832 − 3.39168I 0
u = −0.449317 − 1.052270I
a = 0.803311 − 0.104774I
b = 0.510546 − 0.420152I
−5.15832 + 3.39168I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.340211 + 1.097430I
a = −0.483940 − 0.075688I
b = 0.52633 − 1.74736I
−15.3194 + 3.5604I 0
u = 0.340211 − 1.097430I
a = −0.483940 + 0.075688I
b = 0.52633 + 1.74736I
−15.3194 − 3.5604I 0
u = −0.376858 + 1.086750I
a = 1.80905 + 0.75040I
b = 0.622858 − 1.182940I
−7.24480 − 3.53534I 0
u = −0.376858 − 1.086750I
a = 1.80905 − 0.75040I
b = 0.622858 + 1.182940I
−7.24480 + 3.53534I 0
u = −0.694027 + 0.468933I
a = 1.232930 + 0.362811I
b = 0.833219 − 0.067656I
−0.41000 + 3.05649I 0. − 3.81841I
u = −0.694027 − 0.468933I
a = 1.232930 − 0.362811I
b = 0.833219 + 0.067656I
−0.41000 − 3.05649I 0. + 3.81841I
u = 0.320264 + 1.120320I
a = 0.795246 − 1.083370I
b = 1.078340 − 0.475511I
−11.25190 − 3.18862I 0
u = 0.320264 − 1.120320I
a = 0.795246 + 1.083370I
b = 1.078340 + 0.475511I
−11.25190 + 3.18862I 0
u = 0.456472 + 1.081110I
a = −0.96919 + 1.09392I
b = −1.55906 + 0.30538I
−4.93294 + 3.53621I 0
u = 0.456472 − 1.081110I
a = −0.96919 − 1.09392I
b = −1.55906 − 0.30538I
−4.93294 − 3.53621I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.048098 + 0.813192I
a = 0.546020 − 1.277930I
b = 0.10854 + 1.69149I
−13.22850 − 1.96623I −4.87577 + 2.86715I
u = −0.048098 − 0.813192I
a = 0.546020 + 1.277930I
b = 0.10854 − 1.69149I
−13.22850 + 1.96623I −4.87577 − 2.86715I
u = 0.783036 + 0.906435I
a = 0.732493 − 0.007307I
b = 0.282695 + 0.746721I
−1.02424 + 4.22944I 0
u = 0.783036 − 0.906435I
a = 0.732493 + 0.007307I
b = 0.282695 − 0.746721I
−1.02424 − 4.22944I 0
u = −0.590224 + 1.044060I
a = 0.791102 + 0.738149I
b = 0.953043 − 0.051008I
−2.07376 − 7.99377I 0
u = −0.590224 − 1.044060I
a = 0.791102 − 0.738149I
b = 0.953043 + 0.051008I
−2.07376 + 7.99377I 0
u = 0.515096 + 1.085300I
a = 1.37662 − 0.49500I
b = 0.176990 + 1.072700I
−2.11670 + 3.02849I 0
u = 0.515096 − 1.085300I
a = 1.37662 + 0.49500I
b = 0.176990 − 1.072700I
−2.11670 − 3.02849I 0
u = 0.661505 + 1.003050I
a = 0.250669 − 0.344058I
b = 0.088473 + 0.250492I
−1.11997 + 4.05223I 0
u = 0.661505 − 1.003050I
a = 0.250669 + 0.344058I
b = 0.088473 − 0.250492I
−1.11997 − 4.05223I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.992539 + 0.678641I
a = −0.207770 + 0.955665I
b = −0.046228 + 1.099290I
−4.92580 − 0.78909I 0
u = −0.992539 − 0.678641I
a = −0.207770 − 0.955665I
b = −0.046228 − 1.099290I
−4.92580 + 0.78909I 0
u = 0.502054 + 1.093030I
a = 1.22292 − 1.16724I
b = 0.214525 + 1.380870I
−6.25245 + 6.03157I 0
u = 0.502054 − 1.093030I
a = 1.22292 + 1.16724I
b = 0.214525 − 1.380870I
−6.25245 − 6.03157I 0
u = 0.733796 + 0.280195I
a = 1.83401 − 0.78059I
b = 1.084740 + 0.057816I
−7.20334 − 6.18714I −2.58267 + 3.56489I
u = 0.733796 − 0.280195I
a = 1.83401 + 0.78059I
b = 1.084740 − 0.057816I
−7.20334 + 6.18714I −2.58267 − 3.56489I
u = −0.154870 + 1.212180I
a = −0.281737 − 1.085590I
b = 0.257713 + 1.193340I
−9.35505 + 4.62458I 0
u = −0.154870 − 1.212180I
a = −0.281737 + 1.085590I
b = 0.257713 − 1.193340I
−9.35505 − 4.62458I 0
u = 0.271992 + 0.726580I
a = −0.928303 + 0.091287I
b = −0.616444 + 1.054960I
−1.81332 − 0.95297I −7.18259 − 4.49578I
u = 0.271992 − 0.726580I
a = −0.928303 − 0.091287I
b = −0.616444 − 1.054960I
−1.81332 + 0.95297I −7.18259 + 4.49578I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.543939 + 1.101550I
a = −1.65517 − 0.58118I
b = −0.52640 + 1.34651I
−2.49241 − 8.21984I 0
u = −0.543939 − 1.101550I
a = −1.65517 + 0.58118I
b = −0.52640 − 1.34651I
−2.49241 + 8.21984I 0
u = 0.067829 + 0.768409I
a = −0.96334 + 1.71841I
b = 0.266423 + 0.709161I
−5.13022 + 1.42643I −5.68961 − 4.05615I
u = 0.067829 − 0.768409I
a = −0.96334 − 1.71841I
b = 0.266423 − 0.709161I
−5.13022 − 1.42643I −5.68961 + 4.05615I
u = −0.547528 + 1.099960I
a = −2.12152 + 0.21831I
b = −0.210386 + 1.214010I
−13.4502 − 7.1902I 0
u = −0.547528 − 1.099960I
a = −2.12152 − 0.21831I
b = −0.210386 − 1.214010I
−13.4502 + 7.1902I 0
u = −0.683513 + 0.356634I
a = −0.618553 − 0.865136I
b = −0.488959 − 1.144820I
−0.31858 + 3.47575I 1.97968 − 4.35878I
u = −0.683513 − 0.356634I
a = −0.618553 + 0.865136I
b = −0.488959 + 1.144820I
−0.31858 − 3.47575I 1.97968 + 4.35878I
u = −0.652062 + 0.393739I
a = −0.80892 − 1.88179I
b = 0.016975 − 1.229550I
−11.36620 + 2.46799I −7.23736 − 0.73082I
u = −0.652062 − 0.393739I
a = −0.80892 + 1.88179I
b = 0.016975 + 1.229550I
−11.36620 − 2.46799I −7.23736 + 0.73082I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.510279 + 1.132000I
a = −0.585905 − 0.278024I
b = 0.128771 + 1.287050I
−6.19002 − 3.93927I 0
u = −0.510279 − 1.132000I
a = −0.585905 + 0.278024I
b = 0.128771 − 1.287050I
−6.19002 + 3.93927I 0
u = 0.543113 + 1.116850I
a = 2.05669 − 0.15147I
b = 0.79420 + 1.37241I
−13.8603 + 3.9134I 0
u = 0.543113 − 1.116850I
a = 2.05669 + 0.15147I
b = 0.79420 − 1.37241I
−13.8603 − 3.9134I 0
u = 0.674419 + 0.342927I
a = 1.00312 − 2.08896I
b = 0.53117 − 1.32772I
−11.59410 + 0.83287I −6.75862 − 0.75002I
u = 0.674419 − 0.342927I
a = 1.00312 + 2.08896I
b = 0.53117 + 1.32772I
−11.59410 − 0.83287I −6.75862 + 0.75002I
u = 0.096088 + 1.248340I
a = 0.285246 − 0.360833I
b = −0.21055 + 1.53910I
−12.56200 − 2.66586I 0
u = 0.096088 − 1.248340I
a = 0.285246 + 0.360833I
b = −0.21055 − 1.53910I
−12.56200 + 2.66586I 0
u = 0.538749 + 1.136970I
a = 0.972594 − 0.790349I
b = 1.369210 − 0.022434I
−9.7097 + 11.0092I 0
u = 0.538749 − 1.136970I
a = 0.972594 + 0.790349I
b = 1.369210 + 0.022434I
−9.7097 − 11.0092I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.437001 + 0.581796I
a = 0.618989 + 0.090764I
b = 0.191919 − 0.254301I
−0.049496 + 1.115420I −0.81495 − 4.80874I
u = 0.437001 − 0.581796I
a = 0.618989 − 0.090764I
b = 0.191919 + 0.254301I
−0.049496 − 1.115420I −0.81495 + 4.80874I
u = −0.593259 + 0.405090I
a = 1.50120 − 0.06643I
b = 0.426259 − 1.057760I
−3.89565 − 0.82573I −5.97212 + 1.08099I
u = −0.593259 − 0.405090I
a = 1.50120 + 0.06643I
b = 0.426259 + 1.057760I
−3.89565 + 0.82573I −5.97212 − 1.08099I
u = 0.685821 + 0.140809I
a = −0.088618 − 0.127752I
b = −0.227172 − 0.754115I
0.172712 + 1.341810I 4.35669 − 5.00388I
u = 0.685821 − 0.140809I
a = −0.088618 + 0.127752I
b = −0.227172 + 0.754115I
0.172712 − 1.341810I 4.35669 + 5.00388I
u = −0.589368 + 1.159650I
a = 1.61520 + 0.63825I
b = 0.45460 − 1.37656I
−6.6101 − 13.0759I 0
u = −0.589368 − 1.159650I
a = 1.61520 − 0.63825I
b = 0.45460 + 1.37656I
−6.6101 + 13.0759I 0
u = −0.561619 + 1.194920I
a = −0.411856 − 0.225658I
b = −0.769675 − 0.464014I
−7.90142 − 3.02909I 0
u = −0.561619 − 1.194920I
a = −0.411856 + 0.225658I
b = −0.769675 + 0.464014I
−7.90142 + 3.02909I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.621678 + 1.167560I
a = −1.78507 + 0.15260I
b = −0.66971 − 1.49268I
−9.1673 + 11.3333I 0
u = 0.621678 − 1.167560I
a = −1.78507 − 0.15260I
b = −0.66971 + 1.49268I
−9.1673 − 11.3333I 0
u = 0.537970 + 0.316163I
a = 0.241745 + 0.437529I
b = 0.305665 − 1.213190I
−4.04390 − 1.75558I −4.82168 + 1.54778I
u = 0.537970 − 0.316163I
a = 0.241745 − 0.437529I
b = 0.305665 + 1.213190I
−4.04390 + 1.75558I −4.82168 − 1.54778I
u = 0.529899 + 1.277630I
a = −0.860939 + 0.572991I
b = −0.286354 − 1.123670I
−3.87171 + 6.09769I 0
u = 0.529899 − 1.277630I
a = −0.860939 − 0.572991I
b = −0.286354 + 1.123670I
−3.87171 − 6.09769I 0
u = 0.626802 + 1.233510I
a = 1.65574 − 0.32709I
b = 0.61948 + 1.44793I
−14.2533 + 17.8825I 0
u = 0.626802 − 1.233510I
a = 1.65574 + 0.32709I
b = 0.61948 − 1.44793I
−14.2533 − 17.8825I 0
u = −0.937303 + 1.056320I
a = 0.745739 − 0.529997I
b = 0.129943 − 1.063170I
−6.02731 − 6.08825I 0
u = −0.937303 − 1.056320I
a = 0.745739 + 0.529997I
b = 0.129943 + 1.063170I
−6.02731 + 6.08825I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.619787 + 1.271060I
a = 1.255140 + 0.240539I
b = 0.338150 − 1.076830I
−7.09795 − 6.75128I 0
u = −0.619787 − 1.271060I
a = 1.255140 − 0.240539I
b = 0.338150 + 1.076830I
−7.09795 + 6.75128I 0
u = 0.22497 + 1.43098I
a = −0.168772 + 0.215068I
b = 0.33325 − 1.38805I
−17.2212 − 7.5435I 0
u = 0.22497 − 1.43098I
a = −0.168772 − 0.215068I
b = 0.33325 + 1.38805I
−17.2212 + 7.5435I 0
u = −0.53544 + 1.38996I
a = −1.048240 − 0.603541I
b = −0.501083 + 1.008100I
−9.50876 − 7.77474I 0
u = −0.53544 − 1.38996I
a = −1.048240 + 0.603541I
b = −0.501083 − 1.008100I
−9.50876 + 7.77474I 0
u = 0.204794 + 0.373554I
a = −2.33042 + 3.03774I
b = −0.895901 − 0.325763I
−2.74347 + 0.07821I −6.22322 + 1.60330I
u = 0.204794 − 0.373554I
a = −2.33042 − 3.03774I
b = −0.895901 + 0.325763I
−2.74347 − 0.07821I −6.22322 − 1.60330I
u = −0.307401
a = 3.48306
b = −0.351226
−2.83082 −3.89520
16
II. I
u
2
= h1.33 × 10
7
u
31
+ 5.59 × 10
7
u
30
+ · · · + 2.84 × 10
6
b + 1.93 × 10
7
, 9.66 ×
10
6
u
31
+ 3.52 × 10
7
u
30
+ · · · + 2.84 × 10
6
a + 3.41 × 10
7
, u
32
+ 3u
31
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
−3.39966u
31
− 12.3907u
30
+ ··· − 7.23773u − 12.0066
−4.66679u
31
− 19.6697u
30
+ ··· − 3.96613u − 6.77837
a
4
=
−3.43239u
31
− 11.5894u
30
+ ··· − 4.68622u − 10.3560
−4.58213u
31
− 17.6944u
30
+ ··· − 11.9616u − 11.0638
a
12
=
−8.64001u
31
− 31.6062u
30
+ ··· − 22.3751u − 1.43627
5.26505u
31
+ 25.6840u
30
+ ··· + 13.8497u + 17.3110
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
1.26713u
31
+ 7.27904u
30
+ ··· − 3.27160u − 5.22825
−4.66679u
31
− 19.6697u
30
+ ··· − 3.96613u − 6.77837
a
8
=
17.5481u
31
+ 41.3628u
30
+ ··· + 28.4769u − 4.54830
−2.23403u
31
+ 0.928813u
30
+ ··· + 3.61847u + 10.9127
a
5
=
−10.4327u
31
− 40.9863u
30
+ ··· − 28.0060u − 15.3194
−1.87433u
31
− 1.72077u
30
+ ··· − 8.88520u + 1.36863
a
9
=
16.0792u
31
+ 42.9328u
30
+ ··· + 28.9923u + 1.17315
0.642914u
31
+ 4.74166u
30
+ ··· + 7.77463u + 7.26678
(ii) Obstruction class = 1
(iii) Cusp Shapes =
23519058
2842907
u
31
+
34049853
2842907
u
30
+ ··· +
21173213
2842907
u −
11961054
2842907
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
32
− 17u
31
+ ··· − 21u + 1
c
2
u
32
− 3u
31
+ ··· − u + 1
c
3
, c
4
u
32
− 2u
31
+ ··· + 2u + 1
c
5
u
32
− 3u
31
+ ··· − 5u + 1
c
6
u
32
+ 3u
31
+ ··· + u + 1
c
7
u
32
+ 5u
31
+ ··· + 5u + 1
c
8
u
32
− 2u
31
+ ··· − 4u + 1
c
9
u
32
− u
31
+ ··· + 7u + 1
c
10
u
32
− 5u
31
+ ··· − 5u + 1
c
11
u
32
+ 2u
31
+ ··· − 2u + 1
c
12
u
32
+ 2u
31
+ ··· + 4u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
+ 9y
31
+ ··· − 3y + 1
c
2
, c
6
y
32
+ 17y
31
+ ··· + 21y + 1
c
3
, c
4
, c
11
y
32
− 38y
31
+ ··· − 2y + 1
c
5
y
32
− 5y
31
+ ··· + 15y + 1
c
7
, c
10
y
32
+ 21y
31
+ ··· + 17y + 1
c
8
, c
12
y
32
+ 22y
31
+ ··· + 18y + 1
c
9
y
32
− 9y
31
+ ··· + 63y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.244355 + 1.001080I
a = 0.175786 − 0.119616I
b = 0.28700 + 1.57877I
−14.0153 − 2.9014I −8.58329 + 4.37270I
u = −0.244355 − 1.001080I
a = 0.175786 + 0.119616I
b = 0.28700 − 1.57877I
−14.0153 + 2.9014I −8.58329 − 4.37270I
u = 0.466507 + 0.848674I
a = −0.931897 + 0.897797I
b = −1.035000 − 0.058257I
1.57895 + 1.91755I −3.23512 + 3.06824I
u = 0.466507 − 0.848674I
a = −0.931897 − 0.897797I
b = −1.035000 + 0.058257I
1.57895 − 1.91755I −3.23512 − 3.06824I
u = −0.209610 + 0.904146I
a = 0.62713 + 1.54435I
b = 0.10983 − 1.67176I
−13.60320 + 1.03060I −8.50803 + 2.16104I
u = −0.209610 − 0.904146I
a = 0.62713 − 1.54435I
b = 0.10983 + 1.67176I
−13.60320 − 1.03060I −8.50803 − 2.16104I
u = 0.335770 + 1.018650I
a = 1.87447 − 1.41187I
b = 0.375270 + 1.145370I
−6.10686 + 2.97201I −5.79820 − 3.74528I
u = 0.335770 − 1.018650I
a = 1.87447 + 1.41187I
b = 0.375270 − 1.145370I
−6.10686 − 2.97201I −5.79820 + 3.74528I
u = 0.738935 + 0.551423I
a = −0.293292 − 0.794585I
b = −0.233844 − 0.798910I
−0.41683 + 1.58308I −7.57916 − 3.54516I
u = 0.738935 − 0.551423I
a = −0.293292 + 0.794585I
b = −0.233844 + 0.798910I
−0.41683 − 1.58308I −7.57916 + 3.54516I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.063360 + 0.262371I
a = −0.709244 + 0.075805I
b = −0.330876 + 0.825193I
−2.72342 − 1.51623I 2.90616 + 4.93151I
u = −1.063360 − 0.262371I
a = −0.709244 − 0.075805I
b = −0.330876 − 0.825193I
−2.72342 + 1.51623I 2.90616 − 4.93151I
u = 0.272554 + 0.810542I
a = 0.94056 − 1.46434I
b = 0.445189 − 0.929042I
−5.25626 − 0.40933I −6.95010 − 2.39281I
u = 0.272554 − 0.810542I
a = 0.94056 + 1.46434I
b = 0.445189 + 0.929042I
−5.25626 + 0.40933I −6.95010 + 2.39281I
u = −0.480049 + 1.048670I
a = −0.952566 − 0.562126I
b = −1.121920 − 0.298361I
−3.88311 − 3.23962I −1.19442 + 2.52336I
u = −0.480049 − 1.048670I
a = −0.952566 + 0.562126I
b = −1.121920 + 0.298361I
−3.88311 + 3.23962I −1.19442 − 2.52336I
u = −0.521856 + 0.602990I
a = −0.87576 − 1.61499I
b = −0.675926 + 0.264624I
−2.33282 − 0.83391I −0.98287 + 5.28157I
u = −0.521856 − 0.602990I
a = −0.87576 + 1.61499I
b = −0.675926 − 0.264624I
−2.33282 + 0.83391I −0.98287 − 5.28157I
u = 0.720595 + 1.012900I
a = 0.519796 + 0.434107I
b = 0.012893 + 0.731422I
−1.73523 + 4.05892I −11.07407 − 2.72386I
u = 0.720595 − 1.012900I
a = 0.519796 − 0.434107I
b = 0.012893 − 0.731422I
−1.73523 − 4.05892I −11.07407 + 2.72386I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.404463 + 1.178790I
a = 1.87923 + 0.69754I
b = 0.443975 − 0.781421I
−10.82960 − 6.50752I −9.69732 + 6.51911I
u = −0.404463 − 1.178790I
a = 1.87923 − 0.69754I
b = 0.443975 + 0.781421I
−10.82960 + 6.50752I −9.69732 − 6.51911I
u = 0.469457 + 1.157090I
a = −0.859440 + 0.796950I
b = −0.219767 − 1.254670I
−4.20018 + 4.91022I −6.82400 − 3.99429I
u = 0.469457 − 1.157090I
a = −0.859440 − 0.796950I
b = −0.219767 + 1.254670I
−4.20018 − 4.91022I −6.82400 + 3.99429I
u = −0.240239 + 0.657275I
a = 0.31562 + 3.69610I
b = 0.365654 + 0.540621I
−8.66222 + 3.74835I −2.43697 − 0.42632I
u = −0.240239 − 0.657275I
a = 0.31562 − 3.69610I
b = 0.365654 − 0.540621I
−8.66222 − 3.74835I −2.43697 + 0.42632I
u = −0.866303 + 1.047850I
a = 0.015620 + 0.269050I
b = −0.054903 − 0.629002I
−4.68720 − 5.21266I −1.37626 + 6.81309I
u = −0.866303 − 1.047850I
a = 0.015620 − 0.269050I
b = −0.054903 + 0.629002I
−4.68720 + 5.21266I −1.37626 − 6.81309I
u = −0.63652 + 1.33642I
a = −1.100650 − 0.306996I
b = −0.360587 + 1.134080I
−7.23142 − 7.49462I −7.19409 + 10.36504I
u = −0.63652 − 1.33642I
a = −1.100650 + 0.306996I
b = −0.360587 − 1.134080I
−7.23142 + 7.49462I −7.19409 − 10.36504I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.162934 + 0.435737I
a = −0.625356 − 1.074570I
b = −0.506984 + 1.007970I
−1.43186 − 1.52438I −0.47227 + 4.77149I
u = 0.162934 − 0.435737I
a = −0.625356 + 1.074570I
b = −0.506984 − 1.007970I
−1.43186 + 1.52438I −0.47227 − 4.77149I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
32
− 17u
31
+ ··· − 21u + 1)(u
119
+ 60u
118
+ ··· − 4929u − 361)
c
2
(u
32
− 3u
31
+ ··· − u + 1)(u
119
+ 30u
117
+ ··· − 45u + 19)
c
3
, c
4
(u
32
− 2u
31
+ ··· + 2u + 1)(u
119
+ 3u
118
+ ··· − 236u + 29)
c
5
(u
32
− 3u
31
+ ··· − 5u + 1)(u
119
− 8u
118
+ ··· + 84246u − 6676)
c
6
(u
32
+ 3u
31
+ ··· + u + 1)(u
119
+ 30u
117
+ ··· − 45u + 19)
c
7
(u
32
+ 5u
31
+ ··· + 5u + 1)(u
119
+ 6u
118
+ ··· − 1800u − 200)
c
8
(u
32
− 2u
31
+ ··· − 4u + 1)(u
119
− 3u
118
+ ··· − 1224u + 2727)
c
9
(u
32
− u
31
+ ··· + 7u + 1)
· (u
119
+ 2u
118
+ ··· − 715329093u − 124700713)
c
10
(u
32
− 5u
31
+ ··· − 5u + 1)(u
119
+ 6u
118
+ ··· − 1800u − 200)
c
11
(u
32
+ 2u
31
+ ··· − 2u + 1)(u
119
+ 3u
118
+ ··· − 236u + 29)
c
12
(u
32
+ 2u
31
+ ··· + 4u + 1)(u
119
− 3u
118
+ ··· − 1224u + 2727)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
32
+ 9y
31
+ ··· − 3y + 1)(y
119
+ 12y
118
+ ··· + 9244951y −130321)
c
2
, c
6
(y
32
+ 17y
31
+ ··· + 21y + 1)(y
119
+ 60y
118
+ ··· − 4929y −361)
c
3
, c
4
, c
11
(y
32
− 38y
31
+ ··· − 2y + 1)(y
119
− 131y
118
+ ··· − 91218y −841)
c
5
(y
32
− 5y
31
+ ··· + 15y + 1)
· (y
119
− 30y
118
+ ··· + 2009862604y −44568976)
c
7
, c
10
(y
32
+ 21y
31
+ ··· + 17y + 1)
· (y
119
+ 84y
118
+ ··· − 1890400y −40000)
c
8
, c
12
(y
32
+ 22y
31
+ ··· + 18y + 1)
· (y
119
+ 89y
118
+ ··· − 366139602y −7436529)
c
9
(y
32
− 9y
31
+ ··· + 63y + 1)
· (y
119
− 62y
118
+ ··· + 559579641828065865y −15550267822708369)
25
