12a
1271
(K12a
1271
)
A knot diagram
1
Linearized knot diagam
5 7 11 10 9 12 3 1 2 4 8 6
Solving Sequence
3,11 4,8
12 7 2 6 10 5 1 9
c
3
c
11
c
7
c
2
c
6
c
10
c
4
c
1
c
9
c
5
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h9.56602 × 10
402
u
122
+ 3.14586 × 10
402
u
121
+ ··· + 4.38967 × 10
404
b + 9.87332 × 10
404
,
4.84508 × 10
405
u
122
+ 2.41874 × 10
405
u
121
+ ··· + 1.62418 × 10
406
a − 8.32287 × 10
407
,
2u
123
+ u
122
+ ··· − 528u − 37i
I
u
2
= h−26117698u
27
− 222490041u
26
+ ··· + 494125649b − 12542647,
− 124166822468u
27
+ 228098314690u
26
+ ··· + 64730460019a − 81382930510,
2u
28
− 3u
27
+ ··· − 2u + 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
= h9.57 × 10
402
u
122
+ 3.15 × 10
402
u
121
+ · · · + 4.39 × 10
404
b + 9.87 ×
10
404
, 4.85 × 10
405
u
122
+ 2.42 × 10
405
u
121
+ · · · + 1.62 × 10
406
a − 8.32 ×
10
407
, 2u
123
+ u
122
+ · · · − 528u − 37i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
8
=
−0.298310u
122
− 0.148921u
121
+ ··· + 283.554u + 51.2436
−0.0217921u
122
− 0.00716651u
121
+ ··· − 14.3879u − 2.24922
a
12
=
0.526224u
122
+ 0.236644u
121
+ ··· − 452.025u − 77.4936
0.0515116u
122
+ 0.0404131u
121
+ ··· + 7.03362u − 0.786561
a
7
=
−0.276518u
122
− 0.141755u
121
+ ··· + 297.942u + 53.4928
−0.0217921u
122
− 0.00716651u
121
+ ··· − 14.3879u − 2.24922
a
2
=
−0.124303u
122
− 0.0535248u
121
+ ··· + 52.5187u + 22.4128
0.0817857u
122
+ 0.0837779u
121
+ ··· − 28.5938u − 4.15477
a
6
=
−0.327328u
122
− 0.118041u
121
+ ··· + 326.769u + 48.8014
−0.0453631u
122
− 0.00808009u
121
+ ··· + 38.2331u + 7.37988
a
10
=
u
u
3
+ u
a
5
=
u
2
+ 1
u
4
+ 2u
2
a
1
=
−0.0591670u
122
+ 0.0181552u
121
+ ··· + 17.5803u + 17.3490
0.0804370u
122
+ 0.0582818u
121
+ ··· − 18.6939u − 3.62441
a
9
=
0.223915u
122
+ 0.0815103u
121
+ ··· − 212.003u − 46.3108
−0.0275443u
122
+ 0.00482334u
121
+ ··· + 18.8238u + 3.83302
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.234910u
122
+ 0.266262u
121
+ ··· + 98.5953u + 16.9348
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
123
+ 5u
122
+ ··· + 10661u − 6658
c
2
, c
7
u
123
+ 3u
122
+ ··· + 33083u − 2983
c
3
, c
4
, c
10
2(2u
123
+ u
122
+ ··· − 528u − 37)
c
5
2(2u
123
− 7u
122
+ ··· + 8241u − 1019)
c
6
, c
12
2(2u
123
+ 5u
122
+ ··· + 3232u − 9296)
c
8
u
123
+ 2u
122
+ ··· + 28u + 1
c
9
u
123
− 3u
122
+ ··· − 26333u + 17876
c
11
u
123
− 3u
122
+ ··· − 291760059u + 81362762
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
123
+ 29y
122
+ ··· − 1515568995y −44328964
c
2
, c
7
y
123
− 77y
122
+ ··· − 21246601y −8898289
c
3
, c
4
, c
10
4(4y
123
+ 535y
122
+ ··· + 153132y −1369)
c
5
4(4y
123
+ 103y
122
+ ··· − 1.12194 × 10
7
y −1038361)
c
6
, c
12
4(4y
123
+ 335y
122
+ ··· − 9.10350 × 10
9
y −8.64156 × 10
7
)
c
8
y
123
+ 22y
122
+ ··· − 540y −1
c
9
y
123
+ 33y
122
+ ··· − 10689902655y −319551376
c
11
y
123
− 41y
122
+ ··· + 204460804952227665y −6619899040268644
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.821306 + 0.575750I
a = 0.37620 − 1.48100I
b = 1.177380 − 0.400585I
2.48098 − 5.83170I 0
u = 0.821306 − 0.575750I
a = 0.37620 + 1.48100I
b = 1.177380 + 0.400585I
2.48098 + 5.83170I 0
u = 0.888462 + 0.485693I
a = −0.484306 + 0.160361I
b = −1.083620 − 0.079516I
2.23175 + 0.42092I 0
u = 0.888462 − 0.485693I
a = −0.484306 − 0.160361I
b = −1.083620 + 0.079516I
2.23175 − 0.42092I 0
u = −0.065715 + 0.965127I
a = 0.154437 − 0.645271I
b = −0.497884 − 0.266752I
0.95176 + 1.31743I 0
u = −0.065715 − 0.965127I
a = 0.154437 + 0.645271I
b = −0.497884 + 0.266752I
0.95176 − 1.31743I 0
u = −0.661126 + 0.696040I
a = −0.718141 − 0.654042I
b = −1.071970 + 0.299629I
−1.04868 − 2.47387I 0
u = −0.661126 − 0.696040I
a = −0.718141 + 0.654042I
b = −1.071970 − 0.299629I
−1.04868 + 2.47387I 0
u = 0.187523 + 0.922512I
a = 1.071230 − 0.186073I
b = −0.626268 + 0.492556I
−2.61548 − 0.66055I 0
u = 0.187523 − 0.922512I
a = 1.071230 + 0.186073I
b = −0.626268 − 0.492556I
−2.61548 + 0.66055I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.483898 + 0.954010I
a = 0.38199 − 1.61047I
b = 0.993902 − 0.524937I
0.66587 − 1.68115I 0
u = 0.483898 − 0.954010I
a = 0.38199 + 1.61047I
b = 0.993902 + 0.524937I
0.66587 + 1.68115I 0
u = −0.271344 + 1.055970I
a = 0.53356 − 1.52032I
b = 0.752925 − 0.603989I
−0.08615 − 2.91185I 0
u = −0.271344 − 1.055970I
a = 0.53356 + 1.52032I
b = 0.752925 + 0.603989I
−0.08615 + 2.91185I 0
u = 1.073470 + 0.314108I
a = 0.816886 + 0.293214I
b = 1.096480 + 0.357431I
−1.68259 + 8.21035I 0
u = 1.073470 − 0.314108I
a = 0.816886 − 0.293214I
b = 1.096480 − 0.357431I
−1.68259 − 8.21035I 0
u = 0.824395 + 0.760029I
a = −0.300542 + 1.344200I
b = −1.244460 + 0.537834I
−0.3270 − 14.2808I 0
u = 0.824395 − 0.760029I
a = −0.300542 − 1.344200I
b = −1.244460 − 0.537834I
−0.3270 + 14.2808I 0
u = −0.267435 + 1.099870I
a = −0.305011 − 0.925898I
b = −0.876337 − 0.028125I
0.956139 + 1.037070I 0
u = −0.267435 − 1.099870I
a = −0.305011 + 0.925898I
b = −0.876337 + 0.028125I
0.956139 − 1.037070I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593481 + 0.583322I
a = −0.191608 + 1.328490I
b = −0.226497 + 0.989907I
−3.55874 + 8.80614I 0
u = −0.593481 − 0.583322I
a = −0.191608 − 1.328490I
b = −0.226497 − 0.989907I
−3.55874 − 8.80614I 0
u = −0.474528 + 0.683487I
a = −0.00586 − 1.45576I
b = −1.264680 − 0.616575I
−1.08067 + 5.68283I 0
u = −0.474528 − 0.683487I
a = −0.00586 + 1.45576I
b = −1.264680 + 0.616575I
−1.08067 − 5.68283I 0
u = −0.670345 + 0.454387I
a = 0.75109 + 1.35319I
b = 1.237040 + 0.531743I
−1.67033 + 7.04459I 0
u = −0.670345 − 0.454387I
a = 0.75109 − 1.35319I
b = 1.237040 − 0.531743I
−1.67033 − 7.04459I 0
u = −0.889063 + 0.824559I
a = 0.339799 + 0.832689I
b = 1.198440 + 0.293277I
4.42995 + 7.73324I 0
u = −0.889063 − 0.824559I
a = 0.339799 − 0.832689I
b = 1.198440 − 0.293277I
4.42995 − 7.73324I 0
u = 0.762334 + 0.145940I
a = −1.76251 − 0.77310I
b = −0.959387 − 0.322392I
−1.82052 − 2.70790I 0
u = 0.762334 − 0.145940I
a = −1.76251 + 0.77310I
b = −0.959387 + 0.322392I
−1.82052 + 2.70790I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.771558
a = −1.05154
b = −1.28315
2.74555 0
u = 0.343892 + 0.684932I
a = −0.133429 − 0.606375I
b = −0.996989 − 0.434157I
2.03687 + 1.43581I 0
u = 0.343892 − 0.684932I
a = −0.133429 + 0.606375I
b = −0.996989 + 0.434157I
2.03687 − 1.43581I 0
u = −0.613227 + 0.433414I
a = −1.28627 + 1.14789I
b = 0.312298 + 0.492561I
−4.04362 − 4.68912I 0
u = −0.613227 − 0.433414I
a = −1.28627 − 1.14789I
b = 0.312298 − 0.492561I
−4.04362 + 4.68912I 0
u = −0.566231 + 0.467381I
a = 0.429439 − 1.303690I
b = 0.070394 − 0.640386I
−0.74627 + 1.87969I 0
u = −0.566231 − 0.467381I
a = 0.429439 + 1.303690I
b = 0.070394 + 0.640386I
−0.74627 − 1.87969I 0
u = 0.373666 + 0.569590I
a = 0.675317 − 0.628063I
b = −0.151756 − 0.121172I
1.19060 + 0.97150I 0
u = 0.373666 − 0.569590I
a = 0.675317 + 0.628063I
b = −0.151756 + 0.121172I
1.19060 − 0.97150I 0
u = 0.508121 + 0.438554I
a = −0.549978 + 1.064350I
b = −0.075671 + 0.706568I
0.64905 − 4.26495I 0. + 7.73497I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.508121 − 0.438554I
a = −0.549978 − 1.064350I
b = −0.075671 − 0.706568I
0.64905 + 4.26495I 0. − 7.73497I
u = 0.234565 + 1.308270I
a = 1.021150 − 0.224599I
b = 0.910078 + 0.078208I
2.65265 − 6.28084I 0
u = 0.234565 − 1.308270I
a = 1.021150 + 0.224599I
b = 0.910078 − 0.078208I
2.65265 + 6.28084I 0
u = 0.399348 + 0.538165I
a = −0.757600 − 1.096510I
b = 1.108070 − 0.326234I
1.73412 − 4.24811I 0. + 6.74904I
u = 0.399348 − 0.538165I
a = −0.757600 + 1.096510I
b = 1.108070 + 0.326234I
1.73412 + 4.24811I 0. − 6.74904I
u = 0.022247 + 0.645132I
a = 0.243797 + 0.889141I
b = 1.355980 + 0.006009I
2.52785 − 5.12439I 7.37684 + 6.09074I
u = 0.022247 − 0.645132I
a = 0.243797 − 0.889141I
b = 1.355980 − 0.006009I
2.52785 + 5.12439I 7.37684 − 6.09074I
u = 0.300977 + 0.554618I
a = 0.24267 − 2.19815I
b = 1.170580 − 0.089071I
4.86680 − 1.87555I 12.89229 + 3.77881I
u = 0.300977 − 0.554618I
a = 0.24267 + 2.19815I
b = 1.170580 + 0.089071I
4.86680 + 1.87555I 12.89229 − 3.77881I
u = −0.233026 + 1.373320I
a = −0.478285 − 0.027672I
b = −0.076126 + 0.216418I
4.01446 + 4.15866I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.233026 − 1.373320I
a = −0.478285 + 0.027672I
b = −0.076126 − 0.216418I
4.01446 − 4.15866I 0
u = −0.566398 + 0.215733I
a = 0.641030 − 0.721225I
b = 0.122104 − 0.449288I
−0.99237 + 1.19266I −2.78479 − 1.90364I
u = −0.566398 − 0.215733I
a = 0.641030 + 0.721225I
b = 0.122104 + 0.449288I
−0.99237 − 1.19266I −2.78479 + 1.90364I
u = −0.587969 + 0.117877I
a = 1.66498 + 0.00661I
b = 0.949537 − 0.431732I
−2.67680 − 2.15681I −2.19591 + 3.12767I
u = −0.587969 − 0.117877I
a = 1.66498 − 0.00661I
b = 0.949537 + 0.431732I
−2.67680 + 2.15681I −2.19591 − 3.12767I
u = −0.09306 + 1.41750I
a = 1.202790 − 0.574115I
b = −1.026960 + 0.044437I
1.54486 − 1.39803I 0
u = −0.09306 − 1.41750I
a = 1.202790 + 0.574115I
b = −1.026960 − 0.044437I
1.54486 + 1.39803I 0
u = −0.06443 + 1.43813I
a = −0.277602 − 1.195840I
b = −0.807021 − 0.789461I
1.81995 + 2.92375I 0
u = −0.06443 − 1.43813I
a = −0.277602 + 1.195840I
b = −0.807021 + 0.789461I
1.81995 − 2.92375I 0
u = 0.168847 + 0.525271I
a = −1.38296 − 0.41894I
b = 0.477482 − 0.817206I
−3.94878 − 2.48873I −2.37089 + 7.95153I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.168847 − 0.525271I
a = −1.38296 + 0.41894I
b = 0.477482 + 0.817206I
−3.94878 + 2.48873I −2.37089 − 7.95153I
u = 0.05698 + 1.46259I
a = −0.108076 − 0.667046I
b = −0.35426 − 1.46772I
0.89120 − 2.50465I 0
u = 0.05698 − 1.46259I
a = −0.108076 + 0.667046I
b = −0.35426 + 1.46772I
0.89120 + 2.50465I 0
u = −0.09232 + 1.48608I
a = −1.95091 − 0.06714I
b = 1.027050 + 0.044735I
3.02811 + 6.76823I 0
u = −0.09232 − 1.48608I
a = −1.95091 + 0.06714I
b = 1.027050 − 0.044735I
3.02811 − 6.76823I 0
u = 0.17406 + 1.47983I
a = −0.448160 − 0.740634I
b = 1.51152 − 0.26912I
8.14515 − 3.17570I 0
u = 0.17406 − 1.47983I
a = −0.448160 + 0.740634I
b = 1.51152 + 0.26912I
8.14515 + 3.17570I 0
u = −0.19565 + 1.51130I
a = 0.402349 − 1.020670I
b = −1.45443 − 0.68152I
4.78994 + 10.10650I 0
u = −0.19565 − 1.51130I
a = 0.402349 + 1.020670I
b = −1.45443 + 0.68152I
4.78994 − 10.10650I 0
u = −0.08241 + 1.52199I
a = −0.80125 + 1.27457I
b = 1.37281 + 0.47552I
8.14920 + 7.12933I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.08241 − 1.52199I
a = −0.80125 − 1.27457I
b = 1.37281 − 0.47552I
8.14920 − 7.12933I 0
u = −0.17770 + 1.51407I
a = −0.320304 + 0.682712I
b = −0.060148 + 0.961871I
5.79302 + 4.58086I 0
u = −0.17770 − 1.51407I
a = −0.320304 − 0.682712I
b = −0.060148 − 0.961871I
5.79302 − 4.58086I 0
u = 0.03560 + 1.52587I
a = 0.152006 + 0.493142I
b = 0.20270 + 1.59077I
2.01880 − 0.12358I 0
u = 0.03560 − 1.52587I
a = 0.152006 − 0.493142I
b = 0.20270 − 1.59077I
2.01880 + 0.12358I 0
u = 0.14189 + 1.52038I
a = −0.016213 − 0.755114I
b = 0.232193 − 1.171810I
7.20225 − 6.53938I 0
u = 0.14189 − 1.52038I
a = −0.016213 + 0.755114I
b = 0.232193 + 1.171810I
7.20225 + 6.53938I 0
u = 0.02531 + 1.52740I
a = −0.316151 − 0.836586I
b = 1.47650 − 0.67300I
10.97280 − 0.40185I 0
u = 0.02531 − 1.52740I
a = −0.316151 + 0.836586I
b = 1.47650 + 0.67300I
10.97280 + 0.40185I 0
u = −0.221269 + 0.402394I
a = 0.54033 − 3.57089I
b = −1.298420 − 0.315444I
1.56498 + 5.97171I 11.86443 − 6.77214I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.221269 − 0.402394I
a = 0.54033 + 3.57089I
b = −1.298420 + 0.315444I
1.56498 − 5.97171I 11.86443 + 6.77214I
u = 0.11128 + 1.53725I
a = −0.097438 + 0.746880I
b = −0.014743 + 0.796330I
8.12667 − 0.76838I 0
u = 0.11128 − 1.53725I
a = −0.097438 − 0.746880I
b = −0.014743 − 0.796330I
8.12667 + 0.76838I 0
u = −0.05951 + 1.55007I
a = 0.504350 + 0.433865I
b = −0.266714 + 0.792997I
3.26304 − 2.31319I 0
u = −0.05951 − 1.55007I
a = 0.504350 − 0.433865I
b = −0.266714 − 0.792997I
3.26304 + 2.31319I 0
u = 0.238605 + 0.370889I
a = −0.712947 − 1.130240I
b = −0.227745 − 1.243130I
−4.49862 + 0.65916I −3.09576 + 6.41157I
u = 0.238605 − 0.370889I
a = −0.712947 + 1.130240I
b = −0.227745 + 1.243130I
−4.49862 − 0.65916I −3.09576 − 6.41157I
u = 0.08576 + 1.55702I
a = 0.523575 + 1.103580I
b = −1.275700 + 0.344537I
12.03740 − 3.28062I 0
u = 0.08576 − 1.55702I
a = 0.523575 − 1.103580I
b = −1.275700 − 0.344537I
12.03740 + 3.28062I 0
u = 0.156686 + 0.411401I
a = −0.90478 + 2.30137I
b = −1.279530 + 0.343200I
4.30555 + 0.12568I 11.56781 − 3.17091I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.156686 − 0.411401I
a = −0.90478 − 2.30137I
b = −1.279530 − 0.343200I
4.30555 − 0.12568I 11.56781 + 3.17091I
u = 0.02703 + 1.56361I
a = 0.482876 − 0.394798I
b = −1.57890 − 0.26314I
10.00810 − 5.45882I 0
u = 0.02703 − 1.56361I
a = 0.482876 + 0.394798I
b = −1.57890 + 0.26314I
10.00810 + 5.45882I 0
u = −0.18290 + 1.55908I
a = 0.241042 − 0.677384I
b = 0.163547 − 1.308400I
3.58353 + 11.64840I 0
u = −0.18290 − 1.55908I
a = 0.241042 + 0.677384I
b = 0.163547 + 1.308400I
3.58353 − 11.64840I 0
u = 0.11834 + 1.57169I
a = 0.775920 + 0.486481I
b = −1.43829 + 0.30576I
8.97050 − 6.12397I 0
u = 0.11834 − 1.57169I
a = 0.775920 − 0.486481I
b = −1.43829 − 0.30576I
8.97050 + 6.12397I 0
u = 0.01624 + 1.59222I
a = −0.383853 + 0.507771I
b = 1.35022 + 0.48512I
10.03810 + 0.59329I 0
u = 0.01624 − 1.59222I
a = −0.383853 − 0.507771I
b = 1.35022 − 0.48512I
10.03810 − 0.59329I 0
u = −0.13667 + 1.59487I
a = −0.595570 + 0.848522I
b = 1.51331 + 0.66571I
6.62792 + 7.94764I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.13667 − 1.59487I
a = −0.595570 − 0.848522I
b = 1.51331 − 0.66571I
6.62792 − 7.94764I 0
u = 0.28986 + 1.57463I
a = 0.436738 + 1.283910I
b = −1.292140 + 0.537051I
9.53392 − 9.97126I 0
u = 0.28986 − 1.57463I
a = 0.436738 − 1.283910I
b = −1.292140 − 0.537051I
9.53392 + 9.97126I 0
u = −0.332578 + 0.210309I
a = 3.99857 − 3.82161I
b = −0.740612 − 0.225976I
−2.84248 + 5.34682I 3.0402 − 14.1291I
u = −0.332578 − 0.210309I
a = 3.99857 + 3.82161I
b = −0.740612 + 0.225976I
−2.84248 − 5.34682I 3.0402 + 14.1291I
u = 0.319557 + 0.205174I
a = −0.17587 + 2.00836I
b = 0.339040 + 1.087230I
−4.73999 − 1.38888I −8.18552 + 9.20306I
u = 0.319557 − 0.205174I
a = −0.17587 − 2.00836I
b = 0.339040 − 1.087230I
−4.73999 + 1.38888I −8.18552 − 9.20306I
u = −0.11614 + 1.63623I
a = −0.395934 + 0.811509I
b = 1.029910 + 0.053937I
7.22204 + 0.26579I 0
u = −0.11614 − 1.63623I
a = −0.395934 − 0.811509I
b = 1.029910 − 0.053937I
7.22204 − 0.26579I 0
u = 0.05770 + 1.64687I
a = 0.142205 + 0.940817I
b = −1.112710 + 0.827183I
9.79001 − 3.28548I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05770 − 1.64687I
a = 0.142205 − 0.940817I
b = −1.112710 − 0.827183I
9.79001 + 3.28548I 0
u = 0.33263 + 1.61856I
a = −0.267522 − 0.549377I
b = 1.357130 − 0.112709I
9.09350 − 4.31625I 0
u = 0.33263 − 1.61856I
a = −0.267522 + 0.549377I
b = 1.357130 + 0.112709I
9.09350 + 4.31625I 0
u = 0.27065 + 1.63011I
a = −0.424432 − 1.115910I
b = 1.39250 − 0.63595I
7.5621 − 18.4218I 0
u = 0.27065 − 1.63011I
a = −0.424432 + 1.115910I
b = 1.39250 + 0.63595I
7.5621 + 18.4218I 0
u = −0.27178 + 1.64321I
a = 0.334443 − 0.876866I
b = −1.42910 − 0.44346I
12.5393 + 12.0640I 0
u = −0.27178 − 1.64321I
a = 0.334443 + 0.876866I
b = −1.42910 + 0.44346I
12.5393 − 12.0640I 0
u = −0.27220 + 1.68723I
a = −0.307776 + 0.853779I
b = 1.272740 + 0.391980I
12.12140 + 5.05912I 0
u = −0.27220 − 1.68723I
a = −0.307776 − 0.853779I
b = 1.272740 − 0.391980I
12.12140 − 5.05912I 0
u = −0.1150270 + 0.0115063I
a = 7.93172 + 7.13213I
b = 0.798573 − 0.513973I
−3.22439 − 2.14554I −4.98018 + 3.72211I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.1150270 − 0.0115063I
a = 7.93172 − 7.13213I
b = 0.798573 + 0.513973I
−3.22439 + 2.14554I −4.98018 − 3.72211I
u = −1.61350 + 1.21787I
a = −0.111943 − 0.304491I
b = −1.021780 − 0.049257I
3.15370 − 0.16077I 0
u = −1.61350 − 1.21787I
a = −0.111943 + 0.304491I
b = −1.021780 + 0.049257I
3.15370 + 0.16077I 0
17
II. I
u
2
=
h−2.61×10
7
u
27
−2.22×10
8
u
26
+· · ·+4.94×10
8
b−1.25×10
7
, −1.24×10
11
u
27
+
2.28 × 10
11
u
26
+ · · · + 6.47 × 10
10
a − 8.14 × 10
10
, 2u
28
− 3u
27
+ · · · − 2u + 1i
(i) Arc colorings
a
3
=
1
0
a
11
=
0
u
a
4
=
1
u
2
a
8
=
1.91821u
27
− 3.52382u
26
+ ··· + 4.63300u + 1.25726
0.0528564u
27
+ 0.450270u
26
+ ··· + 4.66394u + 0.0253835
a
12
=
0.0263085u
27
− 0.711609u
26
+ ··· + 3.99013u − 3.32024
−0.253249u
27
+ 0.321752u
26
+ ··· − 0.453641u − 0.176542
a
7
=
1.86536u
27
− 3.97409u
26
+ ··· − 0.0309420u + 1.23188
0.0528564u
27
+ 0.450270u
26
+ ··· + 4.66394u + 0.0253835
a
2
=
0.204718u
27
− 0.577219u
26
+ ··· + 8.42236u + 0.546407
0.148365u
27
− 0.205654u
26
+ ··· + 1.64754u − 1.35313
a
6
=
−1.15147u
27
+ 3.49656u
26
+ ··· − 7.12765u + 1.76057
−0.621442u
27
+ 2.21400u
26
+ ··· + 1.10324u + 0.528788
a
10
=
u
u
3
+ u
a
5
=
u
2
+ 1
u
4
+ 2u
2
a
1
=
−0.0325227u
27
− 0.311472u
26
+ ··· + 10.5638u − 0.866160
0.414757u
27
− 0.204393u
26
+ ··· + 1.53617u − 1.16284
a
9
=
1.04252u
27
− 2.42103u
26
+ ··· + 2.58820u − 2.44844
−0.309396u
27
+ 0.991119u
26
+ ··· − 4.52599u + 1.31563
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
180472544174
64730460019
u
27
−
129321336473
64730460019
u
26
+ ··· +
1092503506402
64730460019
u +
291508413369
64730460019
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
+ 2u
27
+ ··· + 7u + 2
c
2
u
28
− 2u
27
+ ··· − u + 1
c
3
, c
4
2(2u
28
− 3u
27
+ ··· − 2u + 1)
c
5
2(2u
28
− 7u
27
+ ··· − 5u + 1)
c
6
2(2u
28
− 3u
27
+ ··· + 16u + 4)
c
7
u
28
+ 2u
27
+ ··· + u + 1
c
8
u
28
− u
27
+ ··· + 2u + 1
c
9
u
28
+ 9u
26
+ ··· − 35u + 4
c
10
2(2u
28
+ 3u
27
+ ··· + 2u + 1)
c
11
u
28
+ 2u
26
+ ··· − 61u + 14
c
12
2(2u
28
+ 3u
27
+ ··· − 16u + 4)
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
+ 2y
27
+ ··· + 19y + 4
c
2
, c
7
y
28
− 12y
27
+ ··· − 19y + 1
c
3
, c
4
, c
10
4(4y
28
+ 123y
27
+ ··· + 32y + 1)
c
5
4(4y
28
+ 27y
27
+ ··· + 9y + 1)
c
6
, c
12
4(4y
28
+ 83y
27
+ ··· + 96y + 16)
c
8
y
28
+ 23y
27
+ ··· − 12y + 1
c
9
y
28
+ 18y
27
+ ··· − 785y + 16
c
11
y
28
+ 4y
27
+ ··· + 647y + 196
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.008025 + 1.095820I
a = 0.64035 + 1.63660I
b = 0.812859 + 0.564856I
−0.98996 + 2.29936I −1.47584 − 2.11904I
u = −0.008025 − 1.095820I
a = 0.64035 − 1.63660I
b = 0.812859 − 0.564856I
−0.98996 − 2.29936I −1.47584 + 2.11904I
u = 1.171530 + 0.135101I
a = −0.661586 + 0.104382I
b = −1.130320 + 0.029289I
3.04675 + 0.00214I 16.8127 + 1.5074I
u = 1.171530 − 0.135101I
a = −0.661586 − 0.104382I
b = −1.130320 − 0.029289I
3.04675 − 0.00214I 16.8127 − 1.5074I
u = −0.307913 + 0.753218I
a = 0.285067 + 0.817010I
b = −0.888623 + 0.368385I
2.17371 − 2.01469I 9.57123 + 7.54695I
u = −0.307913 − 0.753218I
a = 0.285067 − 0.817010I
b = −0.888623 − 0.368385I
2.17371 + 2.01469I 9.57123 − 7.54695I
u = −0.132754 + 0.736721I
a = 0.790140 − 1.075570I
b = −0.873273 + 0.438007I
−2.29537 − 1.87184I 2.98347 + 3.16131I
u = −0.132754 − 0.736721I
a = 0.790140 + 1.075570I
b = −0.873273 − 0.438007I
−2.29537 + 1.87184I 2.98347 − 3.16131I
u = 0.003285 + 1.273060I
a = 0.539557 + 0.331923I
b = −0.055302 + 0.758594I
−0.87252 + 1.15187I −1.27136 − 1.43599I
u = 0.003285 − 1.273060I
a = 0.539557 − 0.331923I
b = −0.055302 − 0.758594I
−0.87252 − 1.15187I −1.27136 + 1.43599I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.215698 + 1.297370I
a = 0.388654 − 0.001676I
b = 0.606066 + 0.226952I
4.47887 + 4.56895I 10.77443 − 6.54974I
u = −0.215698 − 1.297370I
a = 0.388654 + 0.001676I
b = 0.606066 − 0.226952I
4.47887 − 4.56895I 10.77443 + 6.54974I
u = 0.137397 + 1.370990I
a = −1.59911 + 0.16102I
b = −0.440357 + 0.139322I
1.45021 − 6.68619I −0.19760 + 6.34878I
u = 0.137397 − 1.370990I
a = −1.59911 − 0.16102I
b = −0.440357 − 0.139322I
1.45021 + 6.68619I −0.19760 − 6.34878I
u = −0.488137 + 0.345385I
a = 0.38002 + 2.26602I
b = 1.283430 + 0.347849I
0.83358 + 6.07227I 0.02294 − 8.71575I
u = −0.488137 − 0.345385I
a = 0.38002 − 2.26602I
b = 1.283430 − 0.347849I
0.83358 − 6.07227I 0.02294 + 8.71575I
u = −0.00156 + 1.51798I
a = −0.214119 − 0.525739I
b = −0.06460 − 1.49850I
1.98118 − 1.14085I 1.67149 + 4.55352I
u = −0.00156 − 1.51798I
a = −0.214119 + 0.525739I
b = −0.06460 + 1.49850I
1.98118 + 1.14085I 1.67149 − 4.55352I
u = −0.13204 + 1.55089I
a = 0.784150 − 0.957831I
b = −1.49170 − 0.50620I
7.46841 + 8.20050I 7.14741 − 8.88305I
u = −0.13204 − 1.55089I
a = 0.784150 + 0.957831I
b = −1.49170 + 0.50620I
7.46841 − 8.20050I 7.14741 + 8.88305I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.409316 + 0.122472I
a = −0.44720 − 4.23815I
b = 0.599807 + 0.096913I
−2.88784 + 4.85383I 2.58432 + 0.86409I
u = 0.409316 − 0.122472I
a = −0.44720 + 4.23815I
b = 0.599807 − 0.096913I
−2.88784 − 4.85383I 2.58432 − 0.86409I
u = 0.23735 + 1.56199I
a = −0.426922 − 0.578032I
b = 1.41544 − 0.16291I
8.54980 − 4.07721I 2.00000 + 3.73465I
u = 0.23735 − 1.56199I
a = −0.426922 + 0.578032I
b = 1.41544 + 0.16291I
8.54980 + 4.07721I 2.00000 − 3.73465I
u = 0.07930 + 1.59683I
a = −0.273069 − 0.923398I
b = 1.171420 − 0.582185I
10.95870 − 2.55041I 9.71429 + 0.I
u = 0.07930 − 1.59683I
a = −0.273069 + 0.923398I
b = 1.171420 + 0.582185I
10.95870 + 2.55041I 9.71429 + 0.I
u = −0.002061 + 0.255353I
a = 1.81406 + 0.98908I
b = 0.055155 + 1.174080I
−4.28671 − 1.15758I 5.54668 + 4.43189I
u = −0.002061 − 0.255353I
a = 1.81406 − 0.98908I
b = 0.055155 − 1.174080I
−4.28671 + 1.15758I 5.54668 − 4.43189I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
+ 2u
27
+ ··· + 7u + 2)(u
123
+ 5u
122
+ ··· + 10661u − 6658)
c
2
(u
28
− 2u
27
+ ··· − u + 1)(u
123
+ 3u
122
+ ··· + 33083u − 2983)
c
3
, c
4
4(2u
28
− 3u
27
+ ··· − 2u + 1)(2u
123
+ u
122
+ ··· − 528u − 37)
c
5
4(2u
28
− 7u
27
+ ··· − 5u + 1)(2u
123
− 7u
122
+ ··· + 8241u − 1019)
c
6
4(2u
28
− 3u
27
+ ··· + 16u + 4)(2u
123
+ 5u
122
+ ··· + 3232u − 9296)
c
7
(u
28
+ 2u
27
+ ··· + u + 1)(u
123
+ 3u
122
+ ··· + 33083u − 2983)
c
8
(u
28
− u
27
+ ··· + 2u + 1)(u
123
+ 2u
122
+ ··· + 28u + 1)
c
9
(u
28
+ 9u
26
+ ··· − 35u + 4)(u
123
− 3u
122
+ ··· − 26333u + 17876)
c
10
4(2u
28
+ 3u
27
+ ··· + 2u + 1)(2u
123
+ u
122
+ ··· − 528u − 37)
c
11
(u
28
+ 2u
26
+ ··· − 61u + 14)
· (u
123
− 3u
122
+ ··· − 291760059u + 81362762)
c
12
4(2u
28
+ 3u
27
+ ··· − 16u + 4)(2u
123
+ 5u
122
+ ··· + 3232u − 9296)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
+ 2y
27
+ ··· + 19y + 4)
· (y
123
+ 29y
122
+ ··· − 1515568995y −44328964)
c
2
, c
7
(y
28
− 12y
27
+ ··· − 19y + 1)
· (y
123
− 77y
122
+ ··· − 21246601y −8898289)
c
3
, c
4
, c
10
16(4y
28
+ 123y
27
+ ··· + 32y + 1)
· (4y
123
+ 535y
122
+ ··· + 153132y −1369)
c
5
16(4y
28
+ 27y
27
+ ··· + 9y + 1)
· (4y
123
+ 103y
122
+ ··· − 11219421y −1038361)
c
6
, c
12
16(4y
28
+ 83y
27
+ ··· + 96y + 16)
· (4y
123
+ 335y
122
+ ··· − 9103501312y −86415616)
c
8
(y
28
+ 23y
27
+ ··· − 12y + 1)(y
123
+ 22y
122
+ ··· − 540y −1)
c
9
(y
28
+ 18y
27
+ ··· − 785y + 16)
· (y
123
+ 33y
122
+ ··· − 10689902655y −319551376)
c
11
(y
28
+ 4y
27
+ ··· + 647y + 196)
· (y
123
− 41y
122
+ ··· + 204460804952227665y −6619899040268644)
25
