12a
0947
(K12a
0947
)
A knot diagram
1
Linearized knot diagam
4 6 10 8 2 11 5 1 12 3 7 9
Solving Sequence
1,8 5,9
4 2 7 12 10 3 11 6
c
8
c
4
c
1
c
7
c
12
c
9
c
3
c
11
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h7.66580 × 10
216
u
95
+ 3.01207 × 10
217
u
94
+ ··· + 1.39904 × 10
215
b − 6.84600 × 10
217
,
1.29437 × 10
218
u
95
+ 5.06589 × 10
218
u
94
+ ··· + 1.39904 × 10
215
a − 1.09950 × 10
219
, u
96
+ 4u
95
+ ··· − 25u − 1i
I
u
2
= h1711u
17
− 5392u
16
+ ··· + 2500b − 6081, −3773u
17
+ 11256u
16
+ ··· + 2500a + 13183,
u
18
− 3u
17
+ ··· − 8u + 1i
* 2 irreducible components of dim
C
= 0, with total 114 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
= h7.67 × 10
216
u
95
+ 3.01 × 10
217
u
94
+ · · · + 1.40 × 10
215
b − 6.85 ×
10
217
, 1.29 × 10
218
u
95
+ 5.07 × 10
218
u
94
+ · · · + 1.40 × 10
215
a − 1.10 ×
10
219
, u
96
+ 4u
95
+ · · · − 25u − 1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
−925.186u
95
− 3620.99u
94
+ ··· + 138205.u + 7859.01
−54.7935u
95
− 215.296u
94
+ ··· + 8402.17u + 489.337
a
9
=
1
u
2
a
4
=
−979.980u
95
− 3836.28u
94
+ ··· + 146607.u + 8348.35
−54.7935u
95
− 215.296u
94
+ ··· + 8402.17u + 489.337
a
2
=
3187.09u
95
+ 12055.6u
94
+ ··· − 285324.u − 13138.4
−336.870u
95
− 1289.44u
94
+ ··· + 36955.3u + 1887.42
a
7
=
1579.76u
95
+ 6036.96u
94
+ ··· − 169129.u − 8544.27
307.658u
95
+ 1175.84u
94
+ ··· − 33247.8u − 1685.90
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
−920.556u
95
− 3608.52u
94
+ ··· + 140115.u + 8009.42
−51.2527u
95
− 201.384u
94
+ ··· + 8012.54u + 469.142
a
11
=
3385.53u
95
+ 12905.7u
94
+ ··· − 348333.u − 17274.1
200.126u
95
+ 764.543u
94
+ ··· − 21202.5u − 1065.35
a
6
=
−3201.35u
95
− 12106.0u
94
+ ··· + 285009.u + 13082.2
348.559u
95
+ 1334.10u
94
+ ··· − 38296.5u − 1957.71
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1561.38u
95
− 5923.49u
94
+ ··· + 147695.u + 7028.63
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
− 12u
95
+ ··· + 50079u − 22271
c
2
, c
5
u
96
+ u
95
+ ··· + 22242u − 604
c
3
, c
10
u
96
+ u
95
+ ··· − 12111u + 11963
c
4
, c
7
u
96
− 8u
95
+ ··· + 2325u + 599
c
6
, c
11
u
96
− u
95
+ ··· + 29368u + 2361
c
8
, c
9
, c
12
u
96
− 4u
95
+ ··· + 25u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
+ 22y
95
+ ··· + 13135555953y + 495997441
c
2
, c
5
y
96
− 79y
95
+ ··· − 781387916y + 364816
c
3
, c
10
y
96
+ 83y
95
+ ··· − 3976989661y + 143113369
c
4
, c
7
y
96
+ 74y
95
+ ··· + 27105699y + 358801
c
6
, c
11
y
96
− 73y
95
+ ··· − 1783425250y + 5574321
c
8
, c
9
, c
12
y
96
+ 98y
95
+ ··· − 125y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.668054 + 0.736176I
a = −0.429663 + 0.886280I
b = −0.273010 − 1.079940I
1.87671 − 3.14768I 0
u = 0.668054 − 0.736176I
a = −0.429663 − 0.886280I
b = −0.273010 + 1.079940I
1.87671 + 3.14768I 0
u = 0.774207 + 0.606189I
a = 0.915311 − 0.669410I
b = 0.133604 + 1.038010I
1.49646 − 2.68540I 0
u = 0.774207 − 0.606189I
a = 0.915311 + 0.669410I
b = 0.133604 − 1.038010I
1.49646 + 2.68540I 0
u = −0.498397 + 0.839577I
a = −0.08073 + 1.53160I
b = 0.574093 − 0.358999I
−8.84762 − 2.96103I 0
u = −0.498397 − 0.839577I
a = −0.08073 − 1.53160I
b = 0.574093 + 0.358999I
−8.84762 + 2.96103I 0
u = −0.906591 + 0.538873I
a = 0.708668 + 0.801467I
b = 0.539203 − 1.263990I
−6.8746 + 12.7575I 0
u = −0.906591 − 0.538873I
a = 0.708668 − 0.801467I
b = 0.539203 + 1.263990I
−6.8746 − 12.7575I 0
u = 0.642962 + 0.634792I
a = 0.705564 − 0.816030I
b = 0.614653 + 1.195540I
−1.62318 − 7.04624I 0
u = 0.642962 − 0.634792I
a = 0.705564 + 0.816030I
b = 0.614653 − 1.195540I
−1.62318 + 7.04624I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.823842 + 0.327264I
a = −0.400902 − 0.137615I
b = 0.345374 − 0.991459I
−2.63541 + 2.26716I 0
u = 0.823842 − 0.327264I
a = −0.400902 + 0.137615I
b = 0.345374 + 0.991459I
−2.63541 − 2.26716I 0
u = 0.667116 + 0.468592I
a = −1.53049 + 0.79417I
b = −0.411037 − 1.217960I
−1.76974 − 6.29232I 0
u = 0.667116 − 0.468592I
a = −1.53049 − 0.79417I
b = −0.411037 + 1.217960I
−1.76974 + 6.29232I 0
u = −0.979656 + 0.724547I
a = −0.444493 − 0.520408I
b = 0.354693 + 1.111030I
−6.48587 − 6.61272I 0
u = −0.979656 − 0.724547I
a = −0.444493 + 0.520408I
b = 0.354693 − 1.111030I
−6.48587 + 6.61272I 0
u = 0.273545 + 1.199010I
a = −0.019882 + 0.518557I
b = −0.154446 − 0.611071I
2.09188 − 2.59239I 0
u = 0.273545 − 1.199010I
a = −0.019882 − 0.518557I
b = −0.154446 + 0.611071I
2.09188 + 2.59239I 0
u = −0.696468 + 0.319796I
a = 0.387796 − 0.165500I
b = 1.049040 + 0.160137I
−10.34670 + 7.16521I 0
u = −0.696468 − 0.319796I
a = 0.387796 + 0.165500I
b = 1.049040 − 0.160137I
−10.34670 − 7.16521I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.163950 + 0.429343I
a = −0.338442 − 0.653919I
b = −0.239374 + 1.220300I
−0.75881 + 5.38751I 0
u = −1.163950 − 0.429343I
a = −0.338442 + 0.653919I
b = −0.239374 − 1.220300I
−0.75881 − 5.38751I 0
u = 0.590524 + 0.473244I
a = −0.555181 + 0.658882I
b = −0.786117 − 0.003987I
−5.43999 − 2.01203I 0
u = 0.590524 − 0.473244I
a = −0.555181 − 0.658882I
b = −0.786117 + 0.003987I
−5.43999 + 2.01203I 0
u = −0.334446 + 1.211940I
a = 0.436652 − 0.624605I
b = −0.0686828 − 0.1203880I
−1.64270 + 1.53619I 0
u = −0.334446 − 1.211940I
a = 0.436652 + 0.624605I
b = −0.0686828 + 0.1203880I
−1.64270 − 1.53619I 0
u = −0.239165 + 1.236350I
a = −0.960999 + 0.305868I
b = 0.062907 + 0.929306I
−3.21662 + 4.59968I 0
u = −0.239165 − 1.236350I
a = −0.960999 − 0.305868I
b = 0.062907 − 0.929306I
−3.21662 − 4.59968I 0
u = −0.718935 + 0.159858I
a = −0.424784 + 0.609798I
b = −0.625472 + 0.146870I
−4.80317 + 2.40591I 0
u = −0.718935 − 0.159858I
a = −0.424784 − 0.609798I
b = −0.625472 − 0.146870I
−4.80317 − 2.40591I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.598357 + 0.380180I
a = 0.210313 − 0.387022I
b = −0.363056 + 1.191810I
−1.82836 + 2.13302I 0
u = 0.598357 − 0.380180I
a = 0.210313 + 0.387022I
b = −0.363056 − 1.191810I
−1.82836 − 2.13302I 0
u = −0.388642 + 0.581905I
a = 1.232050 + 0.617206I
b = 0.004208 − 1.122470I
3.09946 − 0.88819I 0
u = −0.388642 − 0.581905I
a = 1.232050 − 0.617206I
b = 0.004208 + 1.122470I
3.09946 + 0.88819I 0
u = −0.200518 + 1.292240I
a = 0.808068 + 0.422740I
b = 0.629734 − 0.807012I
−2.97629 + 1.71649I 0
u = −0.200518 − 1.292240I
a = 0.808068 − 0.422740I
b = 0.629734 + 0.807012I
−2.97629 − 1.71649I 0
u = −0.651902 + 0.011051I
a = 0.48383 − 1.60027I
b = 0.358350 − 0.916006I
−6.96647 − 1.33186I 0
u = −0.651902 − 0.011051I
a = 0.48383 + 1.60027I
b = 0.358350 + 0.916006I
−6.96647 + 1.33186I 0
u = −0.067232 + 1.355170I
a = 0.658539 − 0.383013I
b = 0.681245 + 0.819076I
−2.94394 − 3.38274I 0
u = −0.067232 − 1.355170I
a = 0.658539 + 0.383013I
b = 0.681245 − 0.819076I
−2.94394 + 3.38274I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.012508 + 1.365180I
a = 0.467529 + 1.277170I
b = −1.07644 − 1.16046I
2.32136 − 0.99850I 0
u = −0.012508 − 1.365180I
a = 0.467529 − 1.277170I
b = −1.07644 + 1.16046I
2.32136 + 0.99850I 0
u = −0.044464 + 1.387330I
a = −0.78788 + 3.18341I
b = 0.046890 − 1.016990I
−2.92861 + 5.06579I 0
u = −0.044464 − 1.387330I
a = −0.78788 − 3.18341I
b = 0.046890 + 1.016990I
−2.92861 − 5.06579I 0
u = 0.039477 + 1.389100I
a = 0.748873 − 0.921047I
b = −1.164940 + 0.583436I
2.88902 + 0.10276I 0
u = 0.039477 − 1.389100I
a = 0.748873 + 0.921047I
b = −1.164940 − 0.583436I
2.88902 − 0.10276I 0
u = −0.039094 + 1.392830I
a = 0.34099 − 2.56779I
b = −0.03424 + 1.45584I
2.74416 + 2.23104I 0
u = −0.039094 − 1.392830I
a = 0.34099 + 2.56779I
b = −0.03424 − 1.45584I
2.74416 − 2.23104I 0
u = −0.236781 + 1.381320I
a = 0.199484 − 0.439820I
b = −1.018700 + 0.328866I
0.13082 + 5.78530I 0
u = −0.236781 − 1.381320I
a = 0.199484 + 0.439820I
b = −1.018700 − 0.328866I
0.13082 − 5.78530I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.487460 + 0.337071I
a = −1.43333 − 0.19210I
b = −0.361403 + 1.207450I
2.21607 + 3.89167I 0
u = −0.487460 − 0.337071I
a = −1.43333 + 0.19210I
b = −0.361403 − 1.207450I
2.21607 − 3.89167I 0
u = −0.00983 + 1.42816I
a = −2.25692 + 3.77262I
b = 2.43742 − 3.56985I
1.51043 − 0.22749I 0
u = −0.00983 − 1.42816I
a = −2.25692 − 3.77262I
b = 2.43742 + 3.56985I
1.51043 + 0.22749I 0
u = 0.09307 + 1.43320I
a = 0.0202345 + 0.1232400I
b = 0.710877 − 0.165736I
5.21611 − 2.54667I 0
u = 0.09307 − 1.43320I
a = 0.0202345 − 0.1232400I
b = 0.710877 + 0.165736I
5.21611 + 2.54667I 0
u = −0.23560 + 1.43527I
a = −0.747540 + 0.345048I
b = 1.367330 − 0.026498I
−4.69844 + 10.49820I 0
u = −0.23560 − 1.43527I
a = −0.747540 − 0.345048I
b = 1.367330 + 0.026498I
−4.69844 − 10.49820I 0
u = −0.15472 + 1.45796I
a = −0.58666 − 1.95673I
b = −0.53503 + 1.40775I
8.10551 + 6.17069I 0
u = −0.15472 − 1.45796I
a = −0.58666 + 1.95673I
b = −0.53503 − 1.40775I
8.10551 − 6.17069I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.272832 + 0.457961I
a = −0.20693 − 3.00470I
b = 0.450825 + 0.683358I
−3.73987 − 1.13063I −8.00000 + 6.44488I
u = 0.272832 − 0.457961I
a = −0.20693 + 3.00470I
b = 0.450825 − 0.683358I
−3.73987 + 1.13063I −8.00000 − 6.44488I
u = 0.17231 + 1.46579I
a = 0.218752 + 0.471901I
b = −0.834008 + 0.034716I
0.84957 − 4.70495I 0
u = 0.17231 − 1.46579I
a = 0.218752 − 0.471901I
b = −0.834008 − 0.034716I
0.84957 + 4.70495I 0
u = 0.24482 + 1.49732I
a = −0.94373 + 1.88436I
b = −0.499876 − 1.284310I
4.61884 − 9.65625I 0
u = 0.24482 − 1.49732I
a = −0.94373 − 1.88436I
b = −0.499876 + 1.284310I
4.61884 + 9.65625I 0
u = −0.13121 + 1.51782I
a = 0.57604 + 1.82619I
b = 0.300348 − 1.335480I
10.03230 + 1.02772I 0
u = −0.13121 − 1.51782I
a = 0.57604 − 1.82619I
b = 0.300348 + 1.335480I
10.03230 − 1.02772I 0
u = 0.470058
a = 0.0993130
b = −0.560975
−1.11295 −8.05890
u = 0.349554 + 0.313696I
a = 0.936534 + 0.194848I
b = 0.175834 − 0.238730I
−0.444696 − 1.022470I −6.57018 + 6.95164I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.349554 − 0.313696I
a = 0.936534 − 0.194848I
b = 0.175834 + 0.238730I
−0.444696 + 1.022470I −6.57018 − 6.95164I
u = 0.26328 + 1.53802I
a = 0.72739 − 1.59076I
b = 0.360979 + 1.207530I
8.41684 − 6.46441I 0
u = 0.26328 − 1.53802I
a = 0.72739 + 1.59076I
b = 0.360979 − 1.207530I
8.41684 + 6.46441I 0
u = 0.21457 + 1.54770I
a = −0.34526 + 1.94680I
b = −0.39627 − 1.42796I
9.20138 − 6.35589I 0
u = 0.21457 − 1.54770I
a = −0.34526 − 1.94680I
b = −0.39627 + 1.42796I
9.20138 + 6.35589I 0
u = 0.20980 + 1.54963I
a = 0.18117 − 1.94632I
b = 0.72524 + 1.47629I
5.55276 − 10.18430I 0
u = 0.20980 − 1.54963I
a = 0.18117 + 1.94632I
b = 0.72524 − 1.47629I
5.55276 + 10.18430I 0
u = −0.32267 + 1.54800I
a = 0.53435 + 1.91809I
b = 0.60673 − 1.42875I
−0.1238 + 17.2373I 0
u = −0.32267 − 1.54800I
a = 0.53435 − 1.91809I
b = 0.60673 + 1.42875I
−0.1238 − 17.2373I 0
u = −0.37589 + 1.53929I
a = −0.59083 − 1.74605I
b = −0.39913 + 1.41885I
5.62567 + 10.69680I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.37589 − 1.53929I
a = −0.59083 + 1.74605I
b = −0.39913 − 1.41885I
5.62567 − 10.69680I 0
u = 0.01947 + 1.61854I
a = −0.33091 − 1.79541I
b = −0.003582 + 1.053620I
3.43321 − 2.22847I 0
u = 0.01947 − 1.61854I
a = −0.33091 + 1.79541I
b = −0.003582 − 1.053620I
3.43321 + 2.22847I 0
u = 0.44264 + 1.61609I
a = −0.487156 + 1.092090I
b = −0.056623 − 1.010290I
3.08627 − 2.66733I 0
u = 0.44264 − 1.61609I
a = −0.487156 − 1.092090I
b = −0.056623 + 1.010290I
3.08627 + 2.66733I 0
u = −0.64303 + 1.55298I
a = 0.520043 + 1.301040I
b = 0.076727 − 1.251140I
2.67014 + 2.02484I 0
u = −0.64303 − 1.55298I
a = 0.520043 − 1.301040I
b = 0.076727 + 1.251140I
2.67014 − 2.02484I 0
u = 0.32399 + 1.67785I
a = 0.24779 − 1.57927I
b = −0.004793 + 1.161890I
3.80848 − 2.17152I 0
u = 0.32399 − 1.67785I
a = 0.24779 + 1.57927I
b = −0.004793 − 1.161890I
3.80848 + 2.17152I 0
u = 0.057804 + 0.269522I
a = 0.083320 + 0.844994I
b = 1.46795 − 1.03819I
−3.97882 − 0.28086I 16.2514 + 8.3840I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.057804 − 0.269522I
a = 0.083320 − 0.844994I
b = 1.46795 + 1.03819I
−3.97882 + 0.28086I 16.2514 − 8.3840I
u = −0.202663
a = −2.46839
b = −0.717324
−1.36266 −4.79040
u = −0.170774 + 0.028925I
a = 11.35460 − 5.61146I
b = 0.317634 + 0.778646I
−7.57638 − 4.37351I −17.4089 + 10.8016I
u = −0.170774 − 0.028925I
a = 11.35460 + 5.61146I
b = 0.317634 − 0.778646I
−7.57638 + 4.37351I −17.4089 − 10.8016I
u = −0.165992 + 0.031137I
a = −3.11658 − 4.33383I
b = −0.446519 + 1.137610I
−2.04036 + 1.55418I −12.60686 + 0.54268I
u = −0.165992 − 0.031137I
a = −3.11658 + 4.33383I
b = −0.446519 − 1.137610I
−2.04036 − 1.55418I −12.60686 − 0.54268I
14
II. I
u
2
= h1711u
17
− 5392u
16
+ · · · + 2500b − 6081, −3773u
17
+ 11256u
16
+
· · · + 2500a + 13183, u
18
− 3u
17
+ · · · − 8u + 1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
1.50920u
17
− 4.50240u
16
+ ··· + 10.2684u − 5.27320
−0.684400u
17
+ 2.15680u
16
+ ··· − 8.11880u + 2.43240
a
9
=
1
u
2
a
4
=
0.824800u
17
− 2.34560u
16
+ ··· + 2.14960u − 2.84080
−0.684400u
17
+ 2.15680u
16
+ ··· − 8.11880u + 2.43240
a
2
=
−0.577600u
17
+ 2.10720u
16
+ ··· + 4.84480u − 1.63040
−0.506800u
17
+ 1.84960u
16
+ ··· − 5.76360u + 1.46280
a
7
=
−1.95600u
17
+ 5.03200u
16
+ ··· − 15.4120u + 7.47600
0.493200u
17
− 1.15040u
16
+ ··· + 2.23640u − 1.53720
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
1.57520u
17
− 4.45440u
16
+ ··· + 10.6504u − 5.55920
−0.458800u
17
+ 1.79360u
16
+ ··· − 7.66760u + 2.25480
a
11
=
−0.840800u
17
+ 1.69760u
16
+ ··· − 21.1816u + 9.57680
0.0388000u
17
− 0.553600u
16
+ ··· + 7.32760u − 2.43480
a
6
=
0.106800u
17
− 0.0496000u
16
+ ··· + 12.9636u − 4.06280
−0.840400u
17
+ 2.58880u
16
+ ··· − 5.93080u + 1.10840
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1519
625
u
17
+
4418
625
u
16
+ ··· −
33663
625
u +
1249
625
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
+ u
17
+ ··· − 12u + 1
c
2
u
18
+ 6u
17
+ ··· + 6u + 4
c
3
u
18
+ 11u
16
+ ··· + 2u − 1
c
4
u
18
− u
17
+ ··· + 2u − 1
c
5
u
18
− 6u
17
+ ··· − 6u + 4
c
6
u
18
− 2u
17
+ ··· − u + 1
c
7
u
18
+ u
17
+ ··· − 2u − 1
c
8
, c
9
u
18
− 3u
17
+ ··· − 8u + 1
c
10
u
18
+ 11u
16
+ ··· − 2u − 1
c
11
u
18
+ 2u
17
+ ··· + u + 1
c
12
u
18
+ 3u
17
+ ··· + 8u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
− 7y
17
+ ··· − 22y + 1
c
2
, c
5
y
18
− 16y
17
+ ··· − 92y + 16
c
3
, c
10
y
18
+ 22y
17
+ ··· + 16y + 1
c
4
, c
7
y
18
+ 21y
17
+ ··· + 16y + 1
c
6
, c
11
y
18
− 14y
17
+ ··· − 9y + 1
c
8
, c
9
, c
12
y
18
+ 21y
17
+ ··· − 28y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.825579 + 0.459114I
a = −0.673049 + 0.611182I
b = −0.321183 − 1.121890I
0.92410 − 4.04672I −9.09721 + 6.95627I
u = 0.825579 − 0.459114I
a = −0.673049 − 0.611182I
b = −0.321183 + 1.121890I
0.92410 + 4.04672I −9.09721 − 6.95627I
u = −0.271306 + 1.045750I
a = −0.123098 − 0.081090I
b = −0.302281 + 0.869322I
−0.80131 + 2.45440I −6.30262 − 3.65557I
u = −0.271306 − 1.045750I
a = −0.123098 + 0.081090I
b = −0.302281 − 0.869322I
−0.80131 − 2.45440I −6.30262 + 3.65557I
u = −0.108969 + 1.266110I
a = 0.704994 − 1.223770I
b = 0.286103 − 0.620375I
−4.36306 + 5.33485I −14.2280 − 6.0722I
u = −0.108969 − 1.266110I
a = 0.704994 + 1.223770I
b = 0.286103 + 0.620375I
−4.36306 − 5.33485I −14.2280 + 6.0722I
u = 0.261265 + 1.271200I
a = 0.061309 + 0.755102I
b = −0.186633 − 0.368180I
1.56342 − 2.47350I −13.08111 + 0.98817I
u = 0.261265 − 1.271200I
a = 0.061309 − 0.755102I
b = −0.186633 + 0.368180I
1.56342 + 2.47350I −13.08111 − 0.98817I
u = −0.04544 + 1.42820I
a = −0.11303 + 2.78740I
b = 0.16186 − 2.45137I
1.58829 − 0.39851I −0.73427 − 1.49409I
u = −0.04544 − 1.42820I
a = −0.11303 − 2.78740I
b = 0.16186 + 2.45137I
1.58829 + 0.39851I −0.73427 + 1.49409I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.300208 + 0.462207I
a = −3.15957 − 2.29135I
b = 0.231787 + 0.767672I
−7.28159 − 3.95624I −7.65037 − 1.68005I
u = −0.300208 − 0.462207I
a = −3.15957 + 2.29135I
b = 0.231787 − 0.767672I
−7.28159 + 3.95624I −7.65037 + 1.68005I
u = 0.24398 + 1.49796I
a = −0.56061 + 1.81795I
b = −0.51883 − 1.32707I
7.24916 − 7.68005I −6.70985 + 5.96610I
u = 0.24398 − 1.49796I
a = −0.56061 − 1.81795I
b = −0.51883 + 1.32707I
7.24916 + 7.68005I −6.70985 − 5.96610I
u = 0.409550
a = −0.503485
b = −0.925959
−1.89973 −23.0090
u = 0.59845 + 1.71036I
a = 0.400205 − 1.291660I
b = 0.050637 + 1.152290I
4.12262 − 2.88178I 2.49993 + 8.28230I
u = 0.59845 − 1.71036I
a = 0.400205 + 1.291660I
b = 0.050637 − 1.152290I
4.12262 + 2.88178I 2.49993 − 8.28230I
u = 0.183745
a = −3.57082
b = 1.12304
−4.10353 −7.38370
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
+ u
17
+ ··· − 12u + 1)(u
96
− 12u
95
+ ··· + 50079u − 22271)
c
2
(u
18
+ 6u
17
+ ··· + 6u + 4)(u
96
+ u
95
+ ··· + 22242u − 604)
c
3
(u
18
+ 11u
16
+ ··· + 2u − 1)(u
96
+ u
95
+ ··· − 12111u + 11963)
c
4
(u
18
− u
17
+ ··· + 2u − 1)(u
96
− 8u
95
+ ··· + 2325u + 599)
c
5
(u
18
− 6u
17
+ ··· − 6u + 4)(u
96
+ u
95
+ ··· + 22242u − 604)
c
6
(u
18
− 2u
17
+ ··· − u + 1)(u
96
− u
95
+ ··· + 29368u + 2361)
c
7
(u
18
+ u
17
+ ··· − 2u − 1)(u
96
− 8u
95
+ ··· + 2325u + 599)
c
8
, c
9
(u
18
− 3u
17
+ ··· − 8u + 1)(u
96
− 4u
95
+ ··· + 25u − 1)
c
10
(u
18
+ 11u
16
+ ··· − 2u − 1)(u
96
+ u
95
+ ··· − 12111u + 11963)
c
11
(u
18
+ 2u
17
+ ··· + u + 1)(u
96
− u
95
+ ··· + 29368u + 2361)
c
12
(u
18
+ 3u
17
+ ··· + 8u + 1)(u
96
− 4u
95
+ ··· + 25u − 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
− 7y
17
+ ··· − 22y + 1)
· (y
96
+ 22y
95
+ ··· + 13135555953y + 495997441)
c
2
, c
5
(y
18
− 16y
17
+ ··· − 92y + 16)
· (y
96
− 79y
95
+ ··· − 781387916y + 364816)
c
3
, c
10
(y
18
+ 22y
17
+ ··· + 16y + 1)
· (y
96
+ 83y
95
+ ··· − 3976989661y + 143113369)
c
4
, c
7
(y
18
+ 21y
17
+ ··· + 16y + 1)
· (y
96
+ 74y
95
+ ··· + 27105699y + 358801)
c
6
, c
11
(y
18
− 14y
17
+ ··· − 9y + 1)
· (y
96
− 73y
95
+ ··· − 1783425250y + 5574321)
c
8
, c
9
, c
12
(y
18
+ 21y
17
+ ··· − 28y + 1)(y
96
+ 98y
95
+ ··· − 125y + 1)
21
