12a
1006
(K12a
1006
)
A knot diagram
1
Linearized knot diagam
4 6 12 10 9 11 3 1 5 2 7 8
Solving Sequence
3,7 8,11
12 4 1 9 6 2 5 10
c
7
c
11
c
3
c
12
c
8
c
6
c
2
c
5
c
10
c
1
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.24498 × 10
1014
u
129
− 1.33093 × 10
1013
u
128
+ ··· + 9.28945 × 10
1015
b + 1.16318 × 10
1016
,
− 1.06674 × 10
1015
u
129
− 9.20458 × 10
1013
u
128
+ ··· + 1.32706 × 10
1015
a + 4.44595 × 10
1016
,
u
130
− 2u
128
+ ··· − 31u + 1i
I
u
2
= h1.39792 × 10
34
u
27
− 2.23429 × 10
34
u
26
+ ··· + 6.97927 × 10
34
b − 1.16827 × 10
34
,
− 5.21376 × 10
33
u
27
+ 5.87908 × 10
33
u
26
+ ··· + 6.97927 × 10
34
a − 3.33304 × 10
34
, u
28
− u
27
+ ··· + 2u
2
− 1i
* 2 irreducible components of dim
C
= 0, with total 158 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−2.24 × 10
1014
u
129
− 1.33 × 10
1013
u
128
+ · · · + 9.29 × 10
1015
b +
1.16 × 10
1016
, −1.07 × 10
1015
u
129
− 9.20 × 10
1013
u
128
+ · · · + 1.33 ×
10
1015
a + 4.45 × 10
1016
, u
130
− 2u
128
+ · · · − 31u + 1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
0.803832u
129
+ 0.0693605u
128
+ ··· − 301.493u − 33.5022
0.0241670u
129
+ 0.00143273u
128
+ ··· − 8.14510u − 1.25215
a
12
=
0.779665u
129
+ 0.0679277u
128
+ ··· − 293.348u − 32.2500
0.0241670u
129
+ 0.00143273u
128
+ ··· − 8.14510u − 1.25215
a
4
=
0.503106u
129
+ 0.135213u
128
+ ··· − 166.105u − 36.6631
0.0850453u
129
− 0.00933327u
128
+ ··· − 18.2261u − 0.937790
a
1
=
0.790741u
129
+ 0.0694749u
128
+ ··· − 300.167u − 33.5701
0.0222346u
129
+ 0.00215016u
128
+ ··· − 8.18199u − 1.25060
a
9
=
1.10939u
129
+ 0.0985816u
128
+ ··· − 368.491u − 49.7757
0.0499267u
129
− 0.00557041u
128
+ ··· − 7.45063u − 1.87644
a
6
=
0.996665u
129
+ 0.0764168u
128
+ ··· − 351.098u − 49.0893
0.0588745u
129
− 0.00862850u
128
+ ··· − 9.17771u − 1.79165
a
2
=
1.65851u
129
+ 0.120942u
128
+ ··· − 524.027u − 72.9335
0.0534113u
129
+ 0.00156281u
128
+ ··· − 30.6408u − 2.23992
a
5
=
0.359127u
129
+ 0.0172995u
128
+ ··· − 246.271u − 42.4467
0.0451233u
129
− 0.0198763u
128
+ ··· − 3.40264u − 1.63186
a
10
=
−0.942279u
129
− 0.0703869u
128
+ ··· + 403.624u + 41.1454
0.0496351u
129
− 0.0147851u
128
+ ··· − 2.48796u + 2.00130
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.251625u
129
+ 0.0303260u
128
+ ··· − 53.2435u − 5.10160
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
130
+ 11u
129
+ ··· + 1619394u − 1908844
c
2
u
130
+ 3u
129
+ ··· + 2106443u + 199853
c
3
u
130
− 3u
128
+ ··· − 69u + 7
c
4
, c
5
, c
9
u
130
− 3u
129
+ ··· + 229u − 29
c
6
, c
11
u
130
− u
129
+ ··· − 346u − 28
c
7
u
130
− 2u
128
+ ··· − 31u + 1
c
8
, c
12
u
130
+ u
129
+ ··· + 130501u − 12281
c
10
u
130
+ 7u
129
+ ··· − 32698791u − 1935199
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
130
− 23y
129
+ ··· − 118783470217580y + 3643685416336
c
2
y
130
+ 29y
129
+ ··· + 1803493276335y + 39941221609
c
3
y
130
− 6y
129
+ ··· − 6679y + 49
c
4
, c
5
, c
9
y
130
+ 125y
129
+ ··· − 59517y + 841
c
6
, c
11
y
130
− 97y
129
+ ··· − 35996y + 784
c
7
y
130
− 4y
129
+ ··· − 1573y + 1
c
8
, c
12
y
130
− 89y
129
+ ··· − 4730278955y + 150822961
c
10
y
130
− 53y
129
+ ··· − 307271885066539y + 3744995169601
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.568518 + 0.818526I
a = 1.30537 + 0.68838I
b = 1.47617 − 0.47349I
−12.09710 + 0.66028I 0
u = 0.568518 − 0.818526I
a = 1.30537 − 0.68838I
b = 1.47617 + 0.47349I
−12.09710 − 0.66028I 0
u = −0.637610 + 0.794466I
a = 0.464149 − 0.108175I
b = 0.210670 + 0.855261I
−5.66679 − 1.84230I 0
u = −0.637610 − 0.794466I
a = 0.464149 + 0.108175I
b = 0.210670 − 0.855261I
−5.66679 + 1.84230I 0
u = 1.04253
a = −1.13091
b = 1.02886
2.21961 0
u = 0.951082 + 0.430021I
a = −0.828807 + 0.377896I
b = −0.464152 − 0.648287I
1.30389 + 1.17953I 0
u = 0.951082 − 0.430021I
a = −0.828807 − 0.377896I
b = −0.464152 + 0.648287I
1.30389 − 1.17953I 0
u = −0.470392 + 0.933123I
a = 1.89360 − 0.36472I
b = 1.186250 + 0.305958I
−1.94110 − 4.24597I 0
u = −0.470392 − 0.933123I
a = 1.89360 + 0.36472I
b = 1.186250 − 0.305958I
−1.94110 + 4.24597I 0
u = 0.874780 + 0.584116I
a = −0.166962 − 0.175074I
b = −0.097138 + 1.104550I
2.68104 + 3.43893I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.874780 − 0.584116I
a = −0.166962 + 0.175074I
b = −0.097138 − 1.104550I
2.68104 − 3.43893I 0
u = −0.945830 + 0.024389I
a = −1.180790 − 0.402427I
b = 0.278518 + 0.568230I
−3.21381 + 5.65085I 0
u = −0.945830 − 0.024389I
a = −1.180790 + 0.402427I
b = 0.278518 − 0.568230I
−3.21381 − 5.65085I 0
u = 0.450456 + 0.953997I
a = −2.39991 − 0.39655I
b = −1.209660 + 0.279992I
−8.38195 + 6.60170I 0
u = 0.450456 − 0.953997I
a = −2.39991 + 0.39655I
b = −1.209660 − 0.279992I
−8.38195 − 6.60170I 0
u = 0.569234 + 0.750774I
a = 1.238770 − 0.612083I
b = 0.276603 − 0.175451I
−6.85078 − 2.81764I 0
u = 0.569234 − 0.750774I
a = 1.238770 + 0.612083I
b = 0.276603 + 0.175451I
−6.85078 + 2.81764I 0
u = −0.798627 + 0.487456I
a = 0.40101 − 1.67975I
b = 0.989295 + 0.553100I
−0.04628 − 5.21430I 0
u = −0.798627 − 0.487456I
a = 0.40101 + 1.67975I
b = 0.989295 − 0.553100I
−0.04628 + 5.21430I 0
u = −0.851565 + 0.673850I
a = 0.558040 + 0.104305I
b = −0.088096 + 0.586995I
−4.99906 − 3.32889I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.851565 − 0.673850I
a = 0.558040 − 0.104305I
b = −0.088096 − 0.586995I
−4.99906 + 3.32889I 0
u = −0.756818 + 0.797639I
a = 0.792094 − 1.069500I
b = 1.195650 + 0.047584I
−5.08072 − 1.54588I 0
u = −0.756818 − 0.797639I
a = 0.792094 + 1.069500I
b = 1.195650 − 0.047584I
−5.08072 + 1.54588I 0
u = −0.202487 + 1.081850I
a = 1.226540 + 0.006342I
b = 1.006010 + 0.676072I
−5.23300 − 3.00524I 0
u = −0.202487 − 1.081850I
a = 1.226540 − 0.006342I
b = 1.006010 − 0.676072I
−5.23300 + 3.00524I 0
u = 0.067821 + 0.892695I
a = 0.863538 + 0.730379I
b = −0.217358 + 0.116213I
1.66983 + 3.99377I 0
u = 0.067821 − 0.892695I
a = 0.863538 − 0.730379I
b = −0.217358 − 0.116213I
1.66983 − 3.99377I 0
u = −0.996392 + 0.543578I
a = 0.529252 + 0.119952I
b = 0.267432 − 0.768275I
4.80286 − 2.81007I 0
u = −0.996392 − 0.543578I
a = 0.529252 − 0.119952I
b = 0.267432 + 0.768275I
4.80286 + 2.81007I 0
u = 0.360758 + 1.079490I
a = −1.278930 − 0.330588I
b = −0.997476 + 0.349523I
−1.40422 + 1.99566I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.360758 − 1.079490I
a = −1.278930 + 0.330588I
b = −0.997476 − 0.349523I
−1.40422 − 1.99566I 0
u = 0.827739 + 0.205538I
a = 0.99749 − 1.21579I
b = −0.588180 + 0.543593I
2.26163 − 0.80769I 0
u = 0.827739 − 0.205538I
a = 0.99749 + 1.21579I
b = −0.588180 − 0.543593I
2.26163 + 0.80769I 0
u = 0.411826 + 0.745086I
a = −1.32426 − 1.85371I
b = −1.286230 + 0.045954I
−11.67270 + 2.83151I 0
u = 0.411826 − 0.745086I
a = −1.32426 + 1.85371I
b = −1.286230 − 0.045954I
−11.67270 − 2.83151I 0
u = 0.992024 + 0.581122I
a = −0.527207 − 0.093630I
b = −0.243157 − 0.929089I
0.13818 + 4.79899I 0
u = 0.992024 − 0.581122I
a = −0.527207 + 0.093630I
b = −0.243157 + 0.929089I
0.13818 − 4.79899I 0
u = 0.813245 + 0.825477I
a = −1.46553 + 0.09382I
b = −1.378720 + 0.191672I
−2.61977 + 3.30642I 0
u = 0.813245 − 0.825477I
a = −1.46553 − 0.09382I
b = −1.378720 − 0.191672I
−2.61977 − 3.30642I 0
u = −0.784196 + 0.868456I
a = −1.229760 + 0.495103I
b = −1.45433 − 0.47406I
−5.35695 − 4.09374I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.784196 − 0.868456I
a = −1.229760 − 0.495103I
b = −1.45433 + 0.47406I
−5.35695 + 4.09374I 0
u = −0.988827 + 0.641667I
a = 0.0996686 − 0.0541932I
b = 0.168601 + 1.111570I
4.12867 − 8.76175I 0
u = −0.988827 − 0.641667I
a = 0.0996686 + 0.0541932I
b = 0.168601 − 1.111570I
4.12867 + 8.76175I 0
u = 0.211629 + 0.783048I
a = −1.44980 + 0.01856I
b = −1.32973 + 0.56352I
−1.98456 + 2.68666I 0
u = 0.211629 − 0.783048I
a = −1.44980 − 0.01856I
b = −1.32973 − 0.56352I
−1.98456 − 2.68666I 0
u = −0.949576 + 0.735901I
a = −0.59807 + 1.50031I
b = −1.100920 − 0.089462I
−0.60698 − 4.59108I 0
u = −0.949576 − 0.735901I
a = −0.59807 − 1.50031I
b = −1.100920 + 0.089462I
−0.60698 + 4.59108I 0
u = 0.543250 + 1.084010I
a = 2.04031 + 1.44697I
b = 1.222590 − 0.032319I
−8.13441 + 6.95442I 0
u = 0.543250 − 1.084010I
a = 2.04031 − 1.44697I
b = 1.222590 + 0.032319I
−8.13441 − 6.95442I 0
u = −0.776691
a = 1.47696
b = 1.58587
0.811342 10.5810
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.063893 + 0.753553I
a = 1.44833 + 0.06651I
b = 1.37010 + 0.77618I
−8.18877 − 4.30023I −13.84345 + 0.I
u = 0.063893 − 0.753553I
a = 1.44833 − 0.06651I
b = 1.37010 − 0.77618I
−8.18877 + 4.30023I −13.84345 + 0.I
u = 1.042030 + 0.709443I
a = −0.1004160 + 0.0355801I
b = −0.191526 + 1.110900I
−1.87169 + 13.08240I 0
u = 1.042030 − 0.709443I
a = −0.1004160 − 0.0355801I
b = −0.191526 − 1.110900I
−1.87169 − 13.08240I 0
u = 0.100950 + 1.292880I
a = −0.700789 + 0.448440I
b = 0.011735 + 0.195257I
−4.55877 − 7.16989I 0
u = 0.100950 − 1.292880I
a = −0.700789 − 0.448440I
b = 0.011735 − 0.195257I
−4.55877 + 7.16989I 0
u = 0.461286 + 0.496352I
a = −0.905894 − 0.505575I
b = 0.386005 + 0.621122I
1.59323 + 0.61502I 3.23997 + 0.71765I
u = 0.461286 − 0.496352I
a = −0.905894 + 0.505575I
b = 0.386005 − 0.621122I
1.59323 − 0.61502I 3.23997 − 0.71765I
u = 0.832812 + 1.049160I
a = 1.308550 + 0.391317I
b = 1.43005 − 0.49799I
−5.31453 + 8.79742I 0
u = 0.832812 − 1.049160I
a = 1.308550 − 0.391317I
b = 1.43005 + 0.49799I
−5.31453 − 8.79742I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.183160 + 0.633725I
a = −0.1075880 + 0.0836287I
b = 0.027792 − 0.654590I
5.04522 + 2.01937I 0
u = 1.183160 − 0.633725I
a = −0.1075880 − 0.0836287I
b = 0.027792 + 0.654590I
5.04522 − 2.01937I 0
u = 0.607463 + 0.245216I
a = −0.337863 − 0.096883I
b = 0.230514 + 0.593673I
1.045300 + 0.722902I 7.28787 − 2.21685I
u = 0.607463 − 0.245216I
a = −0.337863 + 0.096883I
b = 0.230514 − 0.593673I
1.045300 − 0.722902I 7.28787 + 2.21685I
u = 0.886717 + 1.019400I
a = −1.41413 − 0.85934I
b = −1.338820 + 0.426017I
−10.31820 + 6.44691I 0
u = 0.886717 − 1.019400I
a = −1.41413 + 0.85934I
b = −1.338820 − 0.426017I
−10.31820 − 6.44691I 0
u = −1.292280 + 0.415632I
a = 0.141753 − 0.071946I
b = −0.077916 − 0.749294I
0.772853 + 0.161579I 0
u = −1.292280 − 0.415632I
a = 0.141753 + 0.071946I
b = −0.077916 + 0.749294I
0.772853 − 0.161579I 0
u = −0.783163 + 1.109200I
a = −1.086870 + 0.388891I
b = −1.226260 + 0.124123I
−3.06879 + 1.51869I 0
u = −0.783163 − 1.109200I
a = −1.086870 − 0.388891I
b = −1.226260 − 0.124123I
−3.06879 − 1.51869I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.387153 + 0.503535I
a = −0.067295 − 0.366604I
b = 0.141722 − 1.343650I
−6.80625 + 6.00852I −6.5984 − 12.6049I
u = 0.387153 − 0.503535I
a = −0.067295 + 0.366604I
b = 0.141722 + 1.343650I
−6.80625 − 6.00852I −6.5984 + 12.6049I
u = −0.771931 + 1.160580I
a = −1.38549 + 0.35998I
b = −1.43485 − 0.52823I
−11.7969 − 12.2543I 0
u = −0.771931 − 1.160580I
a = −1.38549 − 0.35998I
b = −1.43485 + 0.52823I
−11.7969 + 12.2543I 0
u = −0.185381 + 0.575056I
a = −0.95437 − 1.07132I
b = −0.151887 + 0.044542I
−1.33016 + 0.97965I −5.31368 − 0.58456I
u = −0.185381 − 0.575056I
a = −0.95437 + 1.07132I
b = −0.151887 − 0.044542I
−1.33016 − 0.97965I −5.31368 + 0.58456I
u = −0.495512 + 0.249127I
a = 0.005156 − 0.155426I
b = −0.376065 − 1.159250I
−0.00070 − 2.98592I 5.8038 + 13.7955I
u = −0.495512 − 0.249127I
a = 0.005156 + 0.155426I
b = −0.376065 + 1.159250I
−0.00070 + 2.98592I 5.8038 − 13.7955I
u = 0.412006 + 0.348495I
a = −2.81811 + 0.17207I
b = −1.004020 + 0.268799I
−2.21129 + 3.77738I 0.40260 − 4.14688I
u = 0.412006 − 0.348495I
a = −2.81811 − 0.17207I
b = −1.004020 − 0.268799I
−2.21129 − 3.77738I 0.40260 + 4.14688I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.519885 + 0.092491I
a = −0.208154 + 0.540120I
b = −1.097060 − 0.772163I
−0.60445 − 3.18290I 7.51976 − 6.77683I
u = −0.519885 − 0.092491I
a = −0.208154 − 0.540120I
b = −1.097060 + 0.772163I
−0.60445 + 3.18290I 7.51976 + 6.77683I
u = −1.16519 + 0.92556I
a = −0.104464 + 0.206239I
b = −0.103477 − 0.485368I
1.27402 − 3.96073I 0
u = −1.16519 − 0.92556I
a = −0.104464 − 0.206239I
b = −0.103477 + 0.485368I
1.27402 + 3.96073I 0
u = −1.14397 + 0.96921I
a = 1.205010 − 0.652882I
b = 1.38530 + 0.50548I
−1.94816 − 9.09119I 0
u = −1.14397 − 0.96921I
a = 1.205010 + 0.652882I
b = 1.38530 − 0.50548I
−1.94816 + 9.09119I 0
u = −0.52765 + 1.40725I
a = 1.074260 − 0.512404I
b = 0.957876 + 0.073390I
−5.44235 − 0.12690I 0
u = −0.52765 − 1.40725I
a = 1.074260 + 0.512404I
b = 0.957876 − 0.073390I
−5.44235 + 0.12690I 0
u = −0.420068 + 0.241749I
a = −1.175000 − 0.342744I
b = −1.28386 + 1.01152I
−4.84120 − 6.22354I 5.4710 + 14.7902I
u = −0.420068 − 0.241749I
a = −1.175000 + 0.342744I
b = −1.28386 − 1.01152I
−4.84120 + 6.22354I 5.4710 − 14.7902I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.422698 + 0.095404I
a = 0.705862 − 0.295463I
b = 1.11556 + 1.11797I
1.22229 + 1.85561I 22.0787 − 10.1963I
u = 0.422698 − 0.095404I
a = 0.705862 + 0.295463I
b = 1.11556 − 1.11797I
1.22229 − 1.85561I 22.0787 + 10.1963I
u = −1.30242 + 0.98890I
a = −0.792237 + 0.650634I
b = −1.067590 − 0.224668I
−0.30081 − 4.46992I 0
u = −1.30242 − 0.98890I
a = −0.792237 − 0.650634I
b = −1.067590 + 0.224668I
−0.30081 + 4.46992I 0
u = 1.23838 + 1.07050I
a = −1.258080 − 0.531794I
b = −1.41627 + 0.49751I
−0.8149 + 14.4271I 0
u = 1.23838 − 1.07050I
a = −1.258080 + 0.531794I
b = −1.41627 − 0.49751I
−0.8149 − 14.4271I 0
u = −0.293653 + 0.069234I
a = 3.55119 + 3.51423I
b = 0.796509 − 0.134342I
2.42862 + 0.45229I 4.76661 − 2.11342I
u = −0.293653 − 0.069234I
a = 3.55119 − 3.51423I
b = 0.796509 + 0.134342I
2.42862 − 0.45229I 4.76661 + 2.11342I
u = 1.39175 + 0.98851I
a = −0.740426 − 0.493712I
b = −1.148850 − 0.051129I
−3.96210 − 1.34417I 0
u = 1.39175 − 0.98851I
a = −0.740426 + 0.493712I
b = −1.148850 + 0.051129I
−3.96210 + 1.34417I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.26021 + 1.16288I
a = 1.319990 − 0.482391I
b = 1.42923 + 0.48933I
−6.9416 − 18.7247I 0
u = −1.26021 − 1.16288I
a = 1.319990 + 0.482391I
b = 1.42923 − 0.48933I
−6.9416 + 18.7247I 0
u = 1.45814 + 0.99541I
a = 1.038330 + 0.232523I
b = 1.252460 + 0.129503I
−9.12657 + 0.95203I 0
u = 1.45814 − 0.99541I
a = 1.038330 − 0.232523I
b = 1.252460 − 0.129503I
−9.12657 − 0.95203I 0
u = 0.210588 + 0.062546I
a = 8.30722 + 7.91597I
b = 1.088860 − 0.276135I
−5.49689 + 8.93624I 1.05657 − 9.91092I
u = 0.210588 − 0.062546I
a = 8.30722 − 7.91597I
b = 1.088860 + 0.276135I
−5.49689 − 8.93624I 1.05657 + 9.91092I
u = −1.78051
a = 0.639192
b = 1.34270
−4.06041 0
u = −0.178443 + 0.120032I
a = 4.61817 − 8.10142I
b = −0.896347 + 0.294156I
1.53512 + 4.48092I 6.80496 − 6.48563I
u = −0.178443 − 0.120032I
a = 4.61817 + 8.10142I
b = −0.896347 − 0.294156I
1.53512 − 4.48092I 6.80496 + 6.48563I
u = 1.33776 + 1.22497I
a = 1.039230 + 0.354705I
b = 1.137430 − 0.374234I
2.12244 + 7.00804I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.33776 − 1.22497I
a = 1.039230 − 0.354705I
b = 1.137430 + 0.374234I
2.12244 − 7.00804I 0
u = −0.088296 + 0.152527I
a = 4.97308 + 4.88599I
b = 1.48620 − 0.09686I
−6.31465 − 0.78917I −6.24217 − 0.30715I
u = −0.088296 − 0.152527I
a = 4.97308 − 4.88599I
b = 1.48620 + 0.09686I
−6.31465 + 0.78917I −6.24217 + 0.30715I
u = −1.32067 + 1.29312I
a = −1.090110 + 0.238999I
b = −1.168530 − 0.457287I
−2.77584 − 9.74851I 0
u = −1.32067 − 1.29312I
a = −1.090110 − 0.238999I
b = −1.168530 + 0.457287I
−2.77584 + 9.74851I 0
u = 0.61897 + 1.76307I
a = 1.203580 + 0.294382I
b = 1.233020 + 0.136176I
−2.46866 − 5.31459I 0
u = 0.61897 − 1.76307I
a = 1.203580 − 0.294382I
b = 1.233020 − 0.136176I
−2.46866 + 5.31459I 0
u = −1.28788 + 1.36468I
a = −1.36172 + 0.40287I
b = −1.278860 − 0.292862I
0.99532 − 5.52281I 0
u = −1.28788 − 1.36468I
a = −1.36172 − 0.40287I
b = −1.278860 + 0.292862I
0.99532 + 5.52281I 0
u = 1.16983 + 1.50893I
a = 1.53578 + 0.45763I
b = 1.314610 − 0.244974I
−3.16990 + 6.81082I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.16983 − 1.50893I
a = 1.53578 − 0.45763I
b = 1.314610 + 0.244974I
−3.16990 − 6.81082I 0
u = 1.93101 + 0.10644I
a = −0.712713 − 0.091674I
b = −1.341950 − 0.115937I
−8.40996 + 3.46860I 0
u = 1.93101 − 0.10644I
a = −0.712713 + 0.091674I
b = −1.341950 + 0.115937I
−8.40996 − 3.46860I 0
u = 1.44864 + 1.31043I
a = 1.325420 + 0.262887I
b = 1.306550 − 0.331865I
−3.54424 + 3.76653I 0
u = 1.44864 − 1.31043I
a = 1.325420 − 0.262887I
b = 1.306550 + 0.331865I
−3.54424 − 3.76653I 0
u = 0.0256857
a = −41.0569
b = −1.43304
−1.59020 −6.43260
u = −1.83014 + 1.05812I
a = 0.789120 − 0.368630I
b = 1.150740 − 0.110794I
−9.33600 + 4.11530I 0
u = −1.83014 − 1.05812I
a = 0.789120 + 0.368630I
b = 1.150740 + 0.110794I
−9.33600 − 4.11530I 0
u = −0.85403 + 2.15944I
a = −1.192310 + 0.243332I
b = −1.232990 + 0.134244I
−8.26846 + 8.61335I 0
u = −0.85403 − 2.15944I
a = −1.192310 − 0.243332I
b = −1.232990 − 0.134244I
−8.26846 − 8.61335I 0
17
II.
I
u
2
= h1.40×10
34
u
27
−2.23×10
34
u
26
+· · ·+6.98×10
34
b−1.17×10
34
, −5.21×
10
33
u
27
+5.88×10
33
u
26
+· · ·+6.98×10
34
a−3.33×10
34
, u
28
−u
27
+· · ·+2u
2
−1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
11
=
0.0747036u
27
− 0.0842364u
26
+ ··· + 0.676191u + 0.477563
−0.200297u
27
+ 0.320133u
26
+ ··· − 2.64575u + 0.167391
a
12
=
0.275000u
27
− 0.404370u
26
+ ··· + 3.32194u + 0.310172
−0.200297u
27
+ 0.320133u
26
+ ··· − 2.64575u + 0.167391
a
4
=
0.412925u
27
− 0.266049u
26
+ ··· + 0.599395u − 0.0538737
−0.0161311u
27
− 0.169651u
26
+ ··· + 1.03640u − 0.190873
a
1
=
0.110744u
27
− 0.180276u
26
+ ··· + 0.951191u + 0.348194
−0.154486u
27
+ 0.260582u
26
+ ··· − 2.48150u + 0.107553
a
9
=
−0.0870212u
27
+ 0.00317008u
26
+ ··· + 2.78654u + 0.885461
0.0154756u
27
− 0.0382360u
26
+ ··· − 0.704365u − 0.480013
a
6
=
0.110051u
27
− 0.215550u
26
+ ··· + 3.07528u + 0.561378
0.300924u
27
− 0.390292u
26
+ ··· − 0.556516u − 0.475022
a
2
=
0.448691u
27
− 0.413532u
26
+ ··· − 0.133095u + 0.230493
−0.269754u
27
+ 0.251001u
26
+ ··· − 0.809373u + 0.148073
a
5
=
0.144262u
27
− 0.269879u
26
+ ··· + 2.55923u − 0.00600078
−0.0712664u
27
+ 0.106809u
26
+ ··· − 0.645798u − 0.355688
a
10
=
−0.229256u
27
+ 0.190505u
26
+ ··· + 1.39225u + 0.140222
0.0991592u
27
− 0.0151344u
26
+ ··· − 2.82861u + 0.111125
(ii) Obstruction class = 1
(iii) Cusp Shapes = −1.40921u
27
+ 2.29903u
26
+ ··· + 1.28950u − 2.94091
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 12u
27
+ ··· − 33u + 1
c
2
u
28
− 4u
27
+ ··· − 2u − 7
c
3
u
28
− 5u
27
+ ··· − 6u − 1
c
4
, c
5
u
28
+ 14u
26
+ ··· + 6u
2
+ 1
c
6
u
28
− 11u
26
+ ··· − 14u + 7
c
7
u
28
− u
27
+ ··· + 2u
2
− 1
c
8
u
28
− 11u
26
+ ··· − 2u + 7
c
9
u
28
+ 14u
26
+ ··· + 6u
2
+ 1
c
10
u
28
− 3u
26
+ ··· + 2u + 1
c
11
u
28
− 11u
26
+ ··· + 14u + 7
c
12
u
28
− 11u
26
+ ··· + 2u + 7
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 12y
27
+ ··· − 593y + 1
c
2
y
28
+ 12y
27
+ ··· + 276y + 49
c
3
y
28
+ y
27
+ ··· + 6y + 1
c
4
, c
5
, c
9
y
28
+ 28y
27
+ ··· + 12y + 1
c
6
, c
11
y
28
− 22y
27
+ ··· − 238y + 49
c
7
y
28
− y
27
+ ··· − 4y + 1
c
8
, c
12
y
28
− 22y
27
+ ··· − 914y + 49
c
10
y
28
− 6y
27
+ ··· − 6y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.758334 + 0.602441I
a = −0.69891 + 1.87292I
b = −0.956714 − 0.381670I
0.82571 − 5.53765I 5.41524 + 9.85008I
u = −0.758334 − 0.602441I
a = −0.69891 − 1.87292I
b = −0.956714 + 0.381670I
0.82571 + 5.53765I 5.41524 − 9.85008I
u = 0.910630 + 0.530148I
a = −0.213744 + 0.306495I
b = −0.127418 − 0.806707I
3.57812 + 2.01110I 5.46859 − 1.35426I
u = 0.910630 − 0.530148I
a = −0.213744 − 0.306495I
b = −0.127418 + 0.806707I
3.57812 − 2.01110I 5.46859 + 1.35426I
u = −0.143010 + 0.871281I
a = 1.54017 − 0.05513I
b = 1.141760 + 0.504943I
−1.61488 − 2.77291I 6.90476 + 9.92387I
u = −0.143010 − 0.871281I
a = 1.54017 + 0.05513I
b = 1.141760 − 0.504943I
−1.61488 + 2.77291I 6.90476 − 9.92387I
u = −0.427966 + 0.694619I
a = −1.69240 + 0.47235I
b = −1.041500 + 0.502581I
−7.45689 + 4.49635I −1.85980 − 5.03187I
u = −0.427966 − 0.694619I
a = −1.69240 − 0.47235I
b = −1.041500 − 0.502581I
−7.45689 − 4.49635I −1.85980 + 5.03187I
u = 0.797799
a = −2.22618
b = 0.591117
3.54254 14.0110
u = 0.432625 + 1.322100I
a = −1.278190 + 0.038416I
b = −1.169260 + 0.422704I
−5.16754 + 2.08965I −3.78900 − 0.26988I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.432625 − 1.322100I
a = −1.278190 − 0.038416I
b = −1.169260 − 0.422704I
−5.16754 − 2.08965I −3.78900 + 0.26988I
u = −1.41764
a = 0.456061
b = 1.27135
−4.97081 −8.77290
u = −1.23503 + 0.69672I
a = 0.436080 + 0.129576I
b = 0.200941 − 0.429773I
1.29821 − 3.06154I 4.35639 + 0.26454I
u = −1.23503 − 0.69672I
a = 0.436080 − 0.129576I
b = 0.200941 + 0.429773I
1.29821 + 3.06154I 4.35639 − 0.26454I
u = 0.10638 + 1.41683I
a = 2.22121 + 0.03563I
b = 1.141470 − 0.182881I
−6.75521 + 8.25117I −2.16745 − 6.88789I
u = 0.10638 − 1.41683I
a = 2.22121 − 0.03563I
b = 1.141470 + 0.182881I
−6.75521 − 8.25117I −2.16745 + 6.88789I
u = −0.014313 + 0.534166I
a = −0.476988 − 0.693353I
b = 0.793011 − 0.664719I
−5.31490 − 5.76828I −3.55742 + 3.00884I
u = −0.014313 − 0.534166I
a = −0.476988 + 0.693353I
b = 0.793011 + 0.664719I
−5.31490 + 5.76828I −3.55742 − 3.00884I
u = −0.422823 + 0.178177I
a = 0.82062 − 1.18025I
b = 1.18409 + 0.78004I
−0.77471 − 3.45746I −4.4934 + 13.6152I
u = −0.422823 − 0.178177I
a = 0.82062 + 1.18025I
b = 1.18409 − 0.78004I
−0.77471 + 3.45746I −4.4934 − 13.6152I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58839 + 0.16635I
a = −0.649203 − 0.298228I
b = −1.260500 − 0.086969I
−9.68404 + 2.01031I −7.36492 − 1.05081I
u = 1.58839 − 0.16635I
a = −0.649203 + 0.298228I
b = −1.260500 + 0.086969I
−9.68404 − 2.01031I −7.36492 + 1.05081I
u = −1.02734 + 1.22338I
a = −1.40391 + 0.63467I
b = −1.210340 − 0.292693I
0.32018 − 5.90828I −0.46916 + 8.80719I
u = −1.02734 − 1.22338I
a = −1.40391 − 0.63467I
b = −1.210340 + 0.292693I
0.32018 + 5.90828I −0.46916 − 8.80719I
u = 0.273786 + 0.199222I
a = 1.000540 + 0.850896I
b = −0.909510 − 0.821098I
0.91146 + 1.75767I −4.49324 − 2.36990I
u = 0.273786 − 0.199222I
a = 1.000540 − 0.850896I
b = −0.909510 + 0.821098I
0.91146 − 1.75767I −4.49324 + 2.36990I
u = 1.52693 + 1.52024I
a = 1.279800 + 0.324810I
b = 1.282740 − 0.228036I
−2.35006 + 5.61851I 0
u = 1.52693 − 1.52024I
a = 1.279800 − 0.324810I
b = 1.282740 + 0.228036I
−2.35006 − 5.61851I 0
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 12u
27
+ ··· − 33u + 1)
· (u
130
+ 11u
129
+ ··· + 1619394u − 1908844)
c
2
(u
28
− 4u
27
+ ··· − 2u − 7)(u
130
+ 3u
129
+ ··· + 2106443u + 199853)
c
3
(u
28
− 5u
27
+ ··· − 6u − 1)(u
130
− 3u
128
+ ··· − 69u + 7)
c
4
, c
5
(u
28
+ 14u
26
+ ··· + 6u
2
+ 1)(u
130
− 3u
129
+ ··· + 229u − 29)
c
6
(u
28
− 11u
26
+ ··· − 14u + 7)(u
130
− u
129
+ ··· − 346u − 28)
c
7
(u
28
− u
27
+ ··· + 2u
2
− 1)(u
130
− 2u
128
+ ··· − 31u + 1)
c
8
(u
28
− 11u
26
+ ··· − 2u + 7)(u
130
+ u
129
+ ··· + 130501u − 12281)
c
9
(u
28
+ 14u
26
+ ··· + 6u
2
+ 1)(u
130
− 3u
129
+ ··· + 229u − 29)
c
10
(u
28
− 3u
26
+ ··· + 2u + 1)
· (u
130
+ 7u
129
+ ··· − 32698791u − 1935199)
c
11
(u
28
− 11u
26
+ ··· + 14u + 7)(u
130
− u
129
+ ··· − 346u − 28)
c
12
(u
28
− 11u
26
+ ··· + 2u + 7)(u
130
+ u
129
+ ··· + 130501u − 12281)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 12y
27
+ ··· − 593y + 1)
· (y
130
− 23y
129
+ ··· − 118783470217580y + 3643685416336)
c
2
(y
28
+ 12y
27
+ ··· + 276y + 49)
· (y
130
+ 29y
129
+ ··· + 1803493276335y + 39941221609)
c
3
(y
28
+ y
27
+ ··· + 6y + 1)(y
130
− 6y
129
+ ··· − 6679y + 49)
c
4
, c
5
, c
9
(y
28
+ 28y
27
+ ··· + 12y + 1)(y
130
+ 125y
129
+ ··· − 59517y + 841)
c
6
, c
11
(y
28
− 22y
27
+ ··· − 238y + 49)(y
130
− 97y
129
+ ··· − 35996y + 784)
c
7
(y
28
− y
27
+ ··· − 4y + 1)(y
130
− 4y
129
+ ··· − 1573y + 1)
c
8
, c
12
(y
28
− 22y
27
+ ··· − 914y + 49)
· (y
130
− 89y
129
+ ··· − 4730278955y + 150822961)
c
10
(y
28
− 6y
27
+ ··· − 6y + 1)
· (y
130
− 53y
129
+ ··· − 307271885066539y + 3744995169601)
25
