12a
1003
(K12a
1003
)
A knot diagram
1
Linearized knot diagam
4 6 12 9 11 3 10 1 5 7 2 8
Solving Sequence
3,7
6
2,11
12 5 10 8 1 9 4
c
6
c
2
c
11
c
5
c
10
c
7
c
12
c
9
c
4
c
1
, c
3
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h3.15863 × 10
750
u
156
− 2.01624 × 10
751
u
155
+ ··· + 4.47851 × 10
751
b − 4.21387 × 10
753
,
1.25451 × 10
754
u
156
− 7.61396 × 10
754
u
155
+ ··· + 3.94557 × 10
754
a − 1.13568 × 10
757
,
u
157
− 7u
156
+ ··· − 3640u + 881i
I
u
2
= h−5.77380 × 10
36
u
40
+ 1.80943 × 10
37
u
39
+ ··· + 5.47191 × 10
35
b + 1.17964 × 10
37
,
9.19806 × 10
36
u
40
− 2.98786 × 10
37
u
39
+ ··· + 5.47191 × 10
35
a − 2.34136 × 10
37
, u
41
− 4u
40
+ ··· − 14u + 1i
* 2 irreducible components of dim
C
= 0, with total 198 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
= h3.16 × 10
750
u
156
− 2.02 × 10
751
u
155
+ · · · + 4.48 × 10
751
b − 4.21 ×
10
753
, 1.25 × 10
754
u
156
− 7.61 × 10
754
u
155
+ · · · + 3.95 × 10
754
a − 1.14 ×
10
757
, u
157
− 7u
156
+ · · · − 3640u + 881i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
2
=
−u
−u
3
+ u
a
11
=
−0.317955u
156
+ 1.92975u
155
+ ··· − 902.978u + 287.837
−0.0705285u
156
+ 0.450203u
155
+ ··· − 249.968u + 94.0908
a
12
=
−0.229475u
156
+ 1.38551u
155
+ ··· − 632.399u + 196.980
−0.0987142u
156
+ 0.620635u
155
+ ··· − 325.032u + 118.759
a
5
=
−0.501830u
156
+ 3.22052u
155
+ ··· − 1801.63u + 674.638
0.244119u
156
− 1.55615u
155
+ ··· + 854.846u − 312.508
a
10
=
−0.247427u
156
+ 1.47955u
155
+ ··· − 653.011u + 193.746
−0.0705285u
156
+ 0.450203u
155
+ ··· − 249.968u + 94.0908
a
8
=
0.370563u
156
− 2.33817u
155
+ ··· + 1251.94u − 440.591
−0.146125u
156
+ 0.920638u
155
+ ··· − 493.697u + 177.241
a
1
=
0.0734131u
156
− 0.454194u
155
+ ··· + 248.277u − 72.3291
−0.125171u
156
+ 0.773007u
155
+ ··· − 392.350u + 134.951
a
9
=
0.216606u
156
− 1.39291u
155
+ ··· + 853.988u − 318.131
−0.197723u
156
+ 1.25043u
155
+ ··· − 704.186u + 256.408
a
4
=
−0.300574u
156
+ 1.94196u
155
+ ··· − 1166.78u + 446.927
0.100662u
156
− 0.649408u
155
+ ··· + 395.009u − 145.897
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.305069u
156
− 2.01170u
155
+ ··· + 1338.49u − 547.708
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
3(3u
157
− 52u
156
+ ··· + 6.59843 × 10
9
u − 2.50543 × 10
8
)
c
2
, c
6
u
157
− 7u
156
+ ··· − 3640u + 881
c
3
u
157
+ 4u
156
+ ··· − 39323u + 2377
c
4
, c
9
u
157
+ 2u
156
+ ··· − 10946982u − 5026927
c
5
u
157
− 2u
156
+ ··· + 20131088u + 6493917
c
7
, c
10
3(3u
157
+ u
156
+ ··· + 1673953u + 321907)
c
8
, c
12
u
157
+ u
156
+ ··· − 122125u − 35417
c
11
3(3u
157
− 25u
156
+ ··· + 1.08396 × 10
7
u − 673853)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
9(9y
157
+ 458y
156
+ ··· + 1.96481 × 10
19
y −6.27716 × 10
16
)
c
2
, c
6
y
157
− 87y
156
+ ··· + 13639002y −776161
c
3
y
157
− 4y
156
+ ··· − 64518507y −5650129
c
4
, c
9
y
157
− 126y
156
+ ··· + 601275991429812y −25269995063329
c
5
y
157
− 18y
156
+ ··· + 2705906604634768y −42170958002889
c
7
, c
10
9(9y
157
+ 761y
156
+ ··· + 9.60988 × 10
11
y −1.03624 × 10
11
)
c
8
, c
12
y
157
− 97y
156
+ ··· − 7583991957y −1254363889
c
11
9(9y
157
+ 359y
156
+ ··· + 1.54068 × 10
13
y −4.54078 × 10
11
)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.940068 + 0.379267I
a = −1.98273 − 0.79700I
b = −0.718037 − 0.916494I
−0.33928 + 4.05548I 0
u = 0.940068 − 0.379267I
a = −1.98273 + 0.79700I
b = −0.718037 + 0.916494I
−0.33928 − 4.05548I 0
u = −1.002940 + 0.147287I
a = 0.31203 − 2.13291I
b = −0.47861 − 2.71346I
3.42442 − 0.50214I 0
u = −1.002940 − 0.147287I
a = 0.31203 + 2.13291I
b = −0.47861 + 2.71346I
3.42442 + 0.50214I 0
u = 0.978634 + 0.274923I
a = −2.60228 − 0.80680I
b = −0.273961 − 1.107650I
−1.97541 + 2.97021I 0
u = 0.978634 − 0.274923I
a = −2.60228 + 0.80680I
b = −0.273961 + 1.107650I
−1.97541 − 2.97021I 0
u = 0.265237 + 0.981962I
a = −0.240104 − 0.491612I
b = −0.504910 + 1.246390I
−0.38275 − 7.61433I 0
u = 0.265237 − 0.981962I
a = −0.240104 + 0.491612I
b = −0.504910 − 1.246390I
−0.38275 + 7.61433I 0
u = −0.211521 + 1.002810I
a = 0.126460 + 0.448466I
b = −0.492969 − 1.161370I
−2.21196 + 2.93997I 0
u = −0.211521 − 1.002810I
a = 0.126460 − 0.448466I
b = −0.492969 + 1.161370I
−2.21196 − 2.93997I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.930229 + 0.430709I
a = 0.861377 − 0.858328I
b = 0.301793 + 1.181610I
1.63307 + 3.70200I 0
u = 0.930229 − 0.430709I
a = 0.861377 + 0.858328I
b = 0.301793 − 1.181610I
1.63307 − 3.70200I 0
u = 0.954419 + 0.407482I
a = 2.25466 + 0.43323I
b = 0.87448 + 1.23260I
3.50050 + 10.88190I 0
u = 0.954419 − 0.407482I
a = 2.25466 − 0.43323I
b = 0.87448 − 1.23260I
3.50050 − 10.88190I 0
u = 0.936944 + 0.189916I
a = −1.28703 + 0.78530I
b = −0.16370 − 1.41273I
−0.01793 + 4.21639I 0
u = 0.936944 − 0.189916I
a = −1.28703 − 0.78530I
b = −0.16370 + 1.41273I
−0.01793 − 4.21639I 0
u = −0.859317 + 0.409708I
a = 1.85769 − 0.47809I
b = 0.349445 − 1.015990I
−3.38204 − 1.28289I 0
u = −0.859317 − 0.409708I
a = 1.85769 + 0.47809I
b = 0.349445 + 1.015990I
−3.38204 + 1.28289I 0
u = −0.960538 + 0.419471I
a = −2.17983 − 0.60646I
b = −0.14648 + 1.45067I
0.36542 − 5.39045I 0
u = −0.960538 − 0.419471I
a = −2.17983 + 0.60646I
b = −0.14648 − 1.45067I
0.36542 + 5.39045I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.992190 + 0.354514I
a = 2.28833 − 1.24116I
b = −0.047051 − 0.824743I
−0.018463 − 1.000730I 0
u = −0.992190 − 0.354514I
a = 2.28833 + 1.24116I
b = −0.047051 + 0.824743I
−0.018463 + 1.000730I 0
u = −0.926433 + 0.168451I
a = −0.57961 + 1.98870I
b = 0.41787 + 2.35059I
3.26391 − 0.62070I 0
u = −0.926433 − 0.168451I
a = −0.57961 − 1.98870I
b = 0.41787 − 2.35059I
3.26391 + 0.62070I 0
u = −0.980262 + 0.428091I
a = −1.80985 + 0.31282I
b = −0.495296 + 1.319170I
−1.48693 − 6.48155I 0
u = −0.980262 − 0.428091I
a = −1.80985 − 0.31282I
b = −0.495296 − 1.319170I
−1.48693 + 6.48155I 0
u = 0.315999 + 0.874305I
a = 0.104004 + 0.663777I
b = −0.142592 − 1.028540I
−2.03809 + 2.27481I 0
u = 0.315999 − 0.874305I
a = 0.104004 − 0.663777I
b = −0.142592 + 1.028540I
−2.03809 − 2.27481I 0
u = −0.892387 + 0.605370I
a = −1.32596 − 1.08784I
b = −0.026964 + 0.698522I
7.95098 + 0.39175I 0
u = −0.892387 − 0.605370I
a = −1.32596 + 1.08784I
b = −0.026964 − 0.698522I
7.95098 − 0.39175I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.991081 + 0.435230I
a = 1.83298 + 0.02853I
b = 0.065159 + 0.986675I
0.06925 + 2.18252I 0
u = 0.991081 − 0.435230I
a = 1.83298 − 0.02853I
b = 0.065159 − 0.986675I
0.06925 − 2.18252I 0
u = −0.886814 + 0.221578I
a = 0.12838 + 1.89687I
b = 0.209064 − 1.216420I
4.12367 − 9.20788I 0
u = −0.886814 − 0.221578I
a = 0.12838 − 1.89687I
b = 0.209064 + 1.216420I
4.12367 + 9.20788I 0
u = −0.099493 + 0.902011I
a = −0.112461 − 0.621935I
b = 1.007580 + 0.245193I
6.76073 − 7.93427I 0
u = −0.099493 − 0.902011I
a = −0.112461 + 0.621935I
b = 1.007580 − 0.245193I
6.76073 + 7.93427I 0
u = 0.145222 + 0.883203I
a = −0.054889 − 0.346944I
b = −0.480987 − 0.231183I
1.84082 + 3.69658I 0
u = 0.145222 − 0.883203I
a = −0.054889 + 0.346944I
b = −0.480987 + 0.231183I
1.84082 − 3.69658I 0
u = 1.084780 + 0.276644I
a = 1.45784 − 0.01347I
b = 1.38168 + 0.42360I
6.32272 − 0.59511I 0
u = 1.084780 − 0.276644I
a = 1.45784 + 0.01347I
b = 1.38168 − 0.42360I
6.32272 + 0.59511I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.832564 + 0.276094I
a = −2.75557 + 1.24139I
b = 0.192524 + 0.825234I
4.07125 + 6.86786I 0
u = −0.832564 − 0.276094I
a = −2.75557 − 1.24139I
b = 0.192524 − 0.825234I
4.07125 − 6.86786I 0
u = 0.850835 + 0.208150I
a = 2.37851 + 0.82111I
b = 0.019601 + 1.135210I
−0.23173 − 2.34391I 0
u = 0.850835 − 0.208150I
a = 2.37851 − 0.82111I
b = 0.019601 − 1.135210I
−0.23173 + 2.34391I 0
u = 1.12981
a = −3.99219
b = −4.88139
3.09144 0
u = −0.365591 + 1.071290I
a = 0.186799 − 0.445736I
b = 0.227281 + 1.054610I
−3.89586 + 2.83855I 0
u = −0.365591 − 1.071290I
a = 0.186799 + 0.445736I
b = 0.227281 − 1.054610I
−3.89586 − 2.83855I 0
u = 0.478428 + 1.032730I
a = 0.435406 − 0.192254I
b = 0.258703 + 1.148930I
3.36390 + 5.17164I 0
u = 0.478428 − 1.032730I
a = 0.435406 + 0.192254I
b = 0.258703 − 1.148930I
3.36390 − 5.17164I 0
u = −0.237037 + 1.121450I
a = −0.106545 − 0.177285I
b = 0.686097 + 1.017130I
−0.84670 + 4.70707I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.237037 − 1.121450I
a = −0.106545 + 0.177285I
b = 0.686097 − 1.017130I
−0.84670 − 4.70707I 0
u = 1.104340 + 0.348730I
a = 1.46389 − 0.72900I
b = 0.937774 − 0.617346I
10.37710 + 0.95074I 0
u = 1.104340 − 0.348730I
a = 1.46389 + 0.72900I
b = 0.937774 + 0.617346I
10.37710 − 0.95074I 0
u = −0.841215
a = −2.76910
b = −1.75348
2.54729 0
u = −1.136070 + 0.230671I
a = −1.29900 − 0.66394I
b = −1.30305 − 0.67519I
4.27709 − 0.89813I 0
u = −1.136070 − 0.230671I
a = −1.29900 + 0.66394I
b = −1.30305 + 0.67519I
4.27709 + 0.89813I 0
u = 0.251700 + 1.132310I
a = 0.104662 + 0.399000I
b = 0.605145 − 1.263170I
3.5771 − 13.7736I 0
u = 0.251700 − 1.132310I
a = 0.104662 − 0.399000I
b = 0.605145 + 1.263170I
3.5771 + 13.7736I 0
u = 1.149430 + 0.195951I
a = 0.767670 − 0.224887I
b = 0.326737 − 0.396732I
2.24833 + 0.22726I 0
u = 1.149430 − 0.195951I
a = 0.767670 + 0.224887I
b = 0.326737 + 0.396732I
2.24833 − 0.22726I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.672945 + 0.969555I
a = −0.264643 + 0.570375I
b = 0.136864 − 1.248680I
−1.78286 + 2.99407I 0
u = 0.672945 − 0.969555I
a = −0.264643 − 0.570375I
b = 0.136864 + 1.248680I
−1.78286 − 2.99407I 0
u = −0.010867 + 0.811017I
a = 0.511690 + 0.149434I
b = 0.432928 − 1.084160I
4.97082 − 2.02878I 0
u = −0.010867 − 0.811017I
a = 0.511690 − 0.149434I
b = 0.432928 + 1.084160I
4.97082 + 2.02878I 0
u = 0.085142 + 0.800877I
a = −0.243327 + 0.386628I
b = −0.902161 − 0.085459I
3.15585 − 2.56260I 0
u = 0.085142 − 0.800877I
a = −0.243327 − 0.386628I
b = −0.902161 + 0.085459I
3.15585 + 2.56260I 0
u = −1.004230 + 0.683340I
a = 0.97985 + 1.09057I
b = 0.303988 − 0.921871I
8.33164 − 5.55456I 0
u = −1.004230 − 0.683340I
a = 0.97985 − 1.09057I
b = 0.303988 + 0.921871I
8.33164 + 5.55456I 0
u = −1.145370 + 0.409179I
a = 0.975786 + 0.319146I
b = 0.683907 + 0.293022I
1.48505 − 4.76360I 0
u = −1.145370 − 0.409179I
a = 0.975786 − 0.319146I
b = 0.683907 − 0.293022I
1.48505 + 4.76360I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.202660 + 0.183165I
a = 1.61782 + 0.22186I
b = 0.898146 + 0.290670I
11.72880 − 4.15665I 0
u = −1.202660 − 0.183165I
a = 1.61782 − 0.22186I
b = 0.898146 − 0.290670I
11.72880 + 4.15665I 0
u = 0.588847 + 1.087180I
a = 0.224007 − 0.403410I
b = −0.470988 + 0.978656I
−1.74500 − 0.96923I 0
u = 0.588847 − 1.087180I
a = 0.224007 + 0.403410I
b = −0.470988 − 0.978656I
−1.74500 + 0.96923I 0
u = 0.746225 + 0.148692I
a = 0.10192 − 1.63298I
b = −0.112447 + 1.272250I
−2.96443 − 0.78009I 0
u = 0.746225 − 0.148692I
a = 0.10192 + 1.63298I
b = −0.112447 − 1.272250I
−2.96443 + 0.78009I 0
u = −0.651169 + 0.358375I
a = 0.0686270 + 0.1063040I
b = 0.099793 + 1.322930I
−4.02210 − 2.18252I 0
u = −0.651169 − 0.358375I
a = 0.0686270 − 0.1063040I
b = 0.099793 − 1.322930I
−4.02210 + 2.18252I 0
u = 0.741751
a = −2.68029
b = −0.520214
0.202774 0
u = 1.230640 + 0.312614I
a = −0.509647 + 0.563531I
b = −0.806516 + 0.810081I
2.89561 + 0.98168I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.230640 − 0.312614I
a = −0.509647 − 0.563531I
b = −0.806516 − 0.810081I
2.89561 − 0.98168I 0
u = −1.212490 + 0.378927I
a = −1.36189 − 0.50506I
b = −0.936228 + 0.342973I
7.09906 − 1.53094I 0
u = −1.212490 − 0.378927I
a = −1.36189 + 0.50506I
b = −0.936228 − 0.342973I
7.09906 + 1.53094I 0
u = 0.558577 + 0.455748I
a = 0.179935 − 0.395736I
b = 0.53765 − 1.34383I
2.34201 − 7.23201I 0
u = 0.558577 − 0.455748I
a = 0.179935 + 0.395736I
b = 0.53765 + 1.34383I
2.34201 + 7.23201I 0
u = 1.192890 + 0.477029I
a = −1.24954 + 0.68647I
b = −1.112830 + 0.099371I
6.43229 + 7.19422I 0
u = 1.192890 − 0.477029I
a = −1.24954 − 0.68647I
b = −1.112830 − 0.099371I
6.43229 − 7.19422I 0
u = −1.221780 + 0.411210I
a = −1.174480 + 0.753815I
b = −0.038183 + 0.577436I
6.83236 − 7.95836I 0
u = −1.221780 − 0.411210I
a = −1.174480 − 0.753815I
b = −0.038183 − 0.577436I
6.83236 + 7.95836I 0
u = −0.395248 + 0.575371I
a = 0.470642 + 0.159566I
b = −0.241293 − 1.308030I
−3.07407 + 2.55513I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.395248 − 0.575371I
a = 0.470642 − 0.159566I
b = −0.241293 + 1.308030I
−3.07407 − 2.55513I 0
u = −0.303975 + 1.268120I
a = −0.074618 + 0.413208I
b = −0.324522 − 1.163040I
−1.80731 + 6.48795I 0
u = −0.303975 − 1.268120I
a = −0.074618 − 0.413208I
b = −0.324522 + 1.163040I
−1.80731 − 6.48795I 0
u = −1.282640 + 0.235647I
a = −0.542191 − 0.790232I
b = −0.572683 − 1.001490I
5.05464 + 3.67482I 0
u = −1.282640 − 0.235647I
a = −0.542191 + 0.790232I
b = −0.572683 + 1.001490I
5.05464 − 3.67482I 0
u = 1.150710 + 0.622498I
a = 1.365570 − 0.160083I
b = 0.304017 + 1.166240I
−0.01137 + 2.86857I 0
u = 1.150710 − 0.622498I
a = 1.365570 + 0.160083I
b = 0.304017 − 1.166240I
−0.01137 − 2.86857I 0
u = 0.652610 + 0.228509I
a = −1.45929 + 0.45221I
b = −0.491252 + 1.211040I
−1.40841 − 1.03482I 0
u = 0.652610 − 0.228509I
a = −1.45929 − 0.45221I
b = −0.491252 − 1.211040I
−1.40841 + 1.03482I 0
u = 1.230150 + 0.457183I
a = 1.86862 + 0.30880I
b = 0.595300 + 1.112310I
8.63806 + 6.58263I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.230150 − 0.457183I
a = 1.86862 − 0.30880I
b = 0.595300 − 1.112310I
8.63806 − 6.58263I 0
u = −1.221880 + 0.483922I
a = 0.118880 + 0.850668I
b = 0.413748 + 0.836255I
8.47557 − 2.60885I 0
u = −1.221880 − 0.483922I
a = 0.118880 − 0.850668I
b = 0.413748 − 0.836255I
8.47557 + 2.60885I 0
u = −0.002924 + 0.668001I
a = −0.954122 − 0.485700I
b = 0.490361 − 0.836450I
3.24415 + 3.94333I 6.66242 − 2.43245I
u = −0.002924 − 0.668001I
a = −0.954122 + 0.485700I
b = 0.490361 + 0.836450I
3.24415 − 3.94333I 6.66242 + 2.43245I
u = 1.335730 + 0.026665I
a = −0.766227 − 0.149316I
b = −0.575550 + 0.484274I
5.90993 − 1.81141I 0
u = 1.335730 − 0.026665I
a = −0.766227 + 0.149316I
b = −0.575550 − 0.484274I
5.90993 + 1.81141I 0
u = −1.297560 + 0.347143I
a = 1.67211 − 0.54276I
b = 0.498888 − 1.215030I
8.77602 − 9.22171I 0
u = −1.297560 − 0.347143I
a = 1.67211 + 0.54276I
b = 0.498888 + 1.215030I
8.77602 + 9.22171I 0
u = 1.272610 + 0.446499I
a = 1.29018 − 0.61789I
b = 1.49289 − 0.13590I
10.8950 + 12.6205I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.272610 − 0.446499I
a = 1.29018 + 0.61789I
b = 1.49289 + 0.13590I
10.8950 − 12.6205I 0
u = −1.276700 + 0.442942I
a = −1.205910 − 0.120530I
b = −0.917739 + 0.240078I
6.06059 − 8.31394I 0
u = −1.276700 − 0.442942I
a = −1.205910 + 0.120530I
b = −0.917739 − 0.240078I
6.06059 + 8.31394I 0
u = −1.246350 + 0.566226I
a = −1.55700 − 0.00197I
b = −0.67386 + 1.38478I
1.02219 − 8.52879I 0
u = −1.246350 − 0.566226I
a = −1.55700 + 0.00197I
b = −0.67386 − 1.38478I
1.02219 + 8.52879I 0
u = 1.233860 + 0.594092I
a = −1.76189 + 0.07564I
b = −0.60762 − 1.33298I
2.62811 + 13.31030I 0
u = 1.233860 − 0.594092I
a = −1.76189 − 0.07564I
b = −0.60762 + 1.33298I
2.62811 − 13.31030I 0
u = −1.240350 + 0.632271I
a = 1.43435 + 0.05998I
b = 0.431199 − 1.141240I
−1.05661 − 8.93991I 0
u = −1.240350 − 0.632271I
a = 1.43435 − 0.05998I
b = 0.431199 + 1.141240I
−1.05661 + 8.93991I 0
u = 0.494053 + 0.335352I
a = −2.52144 + 0.77520I
b = 0.358875 − 0.463582I
0.494586 − 0.137656I 7.45584 − 1.59904I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.494053 − 0.335352I
a = −2.52144 − 0.77520I
b = 0.358875 + 0.463582I
0.494586 + 0.137656I 7.45584 + 1.59904I
u = 0.385856 + 1.352480I
a = −0.053478 − 0.324748I
b = 0.121422 + 0.675308I
1.23920 + 4.73510I 0
u = 0.385856 − 1.352480I
a = −0.053478 + 0.324748I
b = 0.121422 − 0.675308I
1.23920 − 4.73510I 0
u = 1.224880 + 0.697393I
a = −1.236250 + 0.323383I
b = −0.599822 − 1.246190I
0.49490 + 7.51247I 0
u = 1.224880 − 0.697393I
a = −1.236250 − 0.323383I
b = −0.599822 + 1.246190I
0.49490 − 7.51247I 0
u = −1.310030 + 0.532093I
a = 1.105320 + 0.488741I
b = 0.985273 − 0.830058I
10.35490 + 2.57565I 0
u = −1.310030 − 0.532093I
a = 1.105320 − 0.488741I
b = 0.985273 + 0.830058I
10.35490 − 2.57565I 0
u = −1.27900 + 0.61571I
a = 1.48471 + 0.10969I
b = 0.93189 − 1.31791I
2.45284 − 10.82650I 0
u = −1.27900 − 0.61571I
a = 1.48471 − 0.10969I
b = 0.93189 + 1.31791I
2.45284 + 10.82650I 0
u = −0.165472 + 0.550175I
a = 0.767560 + 0.697747I
b = 0.216684 + 0.026415I
−1.35785 + 0.98752I −1.29117 − 3.08551I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.165472 − 0.550175I
a = 0.767560 − 0.697747I
b = 0.216684 − 0.026415I
−1.35785 − 0.98752I −1.29117 + 3.08551I
u = −0.545304 + 0.159279I
a = 1.95040 − 1.87491I
b = −0.169129 + 1.173590I
−1.50821 − 1.86231I 6.40525 + 3.46383I
u = −0.545304 − 0.159279I
a = 1.95040 + 1.87491I
b = −0.169129 − 1.173590I
−1.50821 + 1.86231I 6.40525 − 3.46383I
u = 1.29038 + 0.63282I
a = 1.60527 − 0.08443I
b = 0.70327 + 1.41141I
6.8673 + 20.0217I 0
u = 1.29038 − 0.63282I
a = 1.60527 + 0.08443I
b = 0.70327 − 1.41141I
6.8673 − 20.0217I 0
u = 1.43902
a = 0.780025
b = 1.03725
5.83550 0
u = 1.35818 + 0.53888I
a = −0.523752 + 0.129492I
b = −0.373814 − 0.226537I
5.33089 + 1.99737I 0
u = 1.35818 − 0.53888I
a = −0.523752 − 0.129492I
b = −0.373814 + 0.226537I
5.33089 − 1.99737I 0
u = −1.31789 + 0.66541I
a = −1.332690 − 0.031115I
b = −0.475609 + 1.322890I
1.52411 − 13.21170I 0
u = −1.31789 − 0.66541I
a = −1.332690 + 0.031115I
b = −0.475609 − 1.322890I
1.52411 + 13.21170I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47475 + 0.19041I
a = 0.545867 + 0.521383I
b = 0.732973 + 0.913287I
9.88142 + 8.82156I 0
u = −1.47475 − 0.19041I
a = 0.545867 − 0.521383I
b = 0.732973 − 0.913287I
9.88142 − 8.82156I 0
u = 1.14686 + 0.96038I
a = −0.605008 + 0.398906I
b = −0.040711 − 0.781129I
5.56411 + 4.17240I 0
u = 1.14686 − 0.96038I
a = −0.605008 − 0.398906I
b = −0.040711 + 0.781129I
5.56411 − 4.17240I 0
u = 1.43125 + 0.50049I
a = −0.783624 − 0.155756I
b = −0.357655 − 0.747380I
5.30313 + 2.18170I 0
u = 1.43125 − 0.50049I
a = −0.783624 + 0.155756I
b = −0.357655 + 0.747380I
5.30313 − 2.18170I 0
u = −0.251646 + 0.406807I
a = 0.33318 + 2.40544I
b = −0.299432 − 1.319180I
−1.29282 + 1.80020I 4.94387 − 1.81085I
u = −0.251646 − 0.406807I
a = 0.33318 − 2.40544I
b = −0.299432 + 1.319180I
−1.29282 − 1.80020I 4.94387 + 1.81085I
u = 0.148503 + 0.430126I
a = 1.72457 − 0.16017I
b = 0.757884 + 0.163023I
7.69657 + 2.17921I 12.55242 − 1.74361I
u = 0.148503 − 0.430126I
a = 1.72457 + 0.16017I
b = 0.757884 − 0.163023I
7.69657 − 2.17921I 12.55242 + 1.74361I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.51878 + 0.52537I
a = 0.084289 − 0.175239I
b = 0.196709 − 0.743397I
6.81087 + 2.00402I 0
u = 1.51878 − 0.52537I
a = 0.084289 + 0.175239I
b = 0.196709 + 0.743397I
6.81087 − 2.00402I 0
u = 1.31809 + 0.95094I
a = 0.658199 − 0.294699I
b = 0.224219 + 0.989431I
6.01781 + 4.00616I 0
u = 1.31809 − 0.95094I
a = 0.658199 + 0.294699I
b = 0.224219 − 0.989431I
6.01781 − 4.00616I 0
u = 0.287127
a = 0.871320
b = −0.364949
0.698705 14.8840
u = −0.079945 + 0.266084I
a = 1.26621 − 2.63233I
b = −0.627100 − 0.274595I
1.55586 − 0.49268I 7.54332 − 0.87240I
u = −0.079945 − 0.266084I
a = 1.26621 + 2.63233I
b = −0.627100 + 0.274595I
1.55586 + 0.49268I 7.54332 + 0.87240I
20
II. I
u
2
= h−5.77 × 10
36
u
40
+ 1.81 × 10
37
u
39
+ · · · + 5.47 × 10
35
b + 1.18 ×
10
37
, 9.20 × 10
36
u
40
− 2.99 × 10
37
u
39
+ · · · + 5.47 × 10
35
a − 2.34 ×
10
37
, u
41
− 4u
40
+ · · · − 14u + 1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
2
=
−u
−u
3
+ u
a
11
=
−16.8096u
40
+ 54.6037u
39
+ ··· − 384.073u + 42.7887
10.5517u
40
− 33.0677u
39
+ ··· + 269.069u − 21.5581
a
12
=
−16.9731u
40
+ 54.5664u
39
+ ··· − 410.223u + 44.7456
11.0764u
40
− 34.7335u
39
+ ··· + 285.706u − 22.8237
a
5
=
30.5945u
40
− 95.7357u
39
+ ··· + 875.525u − 74.5861
−8.61959u
40
+ 29.7151u
39
+ ··· − 163.847u + 13.6794
a
10
=
−27.3613u
40
+ 87.6713u
39
+ ··· − 653.141u + 64.3468
10.5517u
40
− 33.0677u
39
+ ··· + 269.069u − 21.5581
a
8
=
−20.1539u
40
+ 66.6605u
39
+ ··· − 446.233u + 43.2720
−0.275367u
40
− 0.762074u
39
+ ··· − 37.1858u + 2.13928
a
1
=
−6.85898u
40
+ 28.4853u
39
+ ··· − 34.2569u + 15.9890
−1.93221u
40
+ 8.54124u
39
+ ··· + 39.0987u − 2.84229
a
9
=
−47.1489u
40
+ 168.905u
39
+ ··· − 560.928u + 56.2909
9.62933u
40
− 32.9306u
39
+ ··· + 180.770u − 14.8886
a
4
=
28.0943u
40
− 101.022u
39
+ ··· + 359.949u − 43.5567
−8.58248u
40
+ 29.6857u
39
+ ··· − 152.110u + 12.8916
(ii) Obstruction class = 1
(iii) Cusp Shapes = 78.7593u
40
− 271.272u
39
+ ··· + 1093.59u − 89.1575
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
3(3u
41
+ 13u
40
+ ··· − 13u + 1)
c
2
u
41
+ 4u
40
+ ··· − 14u − 1
c
3
u
41
− 3u
40
+ ··· + u + 1
c
4
u
41
+ u
40
+ ··· + 4u + 1
c
5
u
41
− u
40
+ ··· − 98u + 21
c
6
u
41
− 4u
40
+ ··· − 14u + 1
c
7
3(3u
41
+ 38u
40
+ ··· + 7u + 1)
c
8
u
41
− 9u
39
+ ··· − 19u − 1
c
9
u
41
− u
40
+ ··· + 4u − 1
c
10
3(3u
41
− 38u
40
+ ··· + 7u − 1)
c
11
3(3u
41
− 26u
40
+ ··· − 3u + 1)
c
12
u
41
− 9u
39
+ ··· − 19u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
9(9y
41
− 343y
40
+ ··· + 29y −1)
c
2
, c
6
y
41
− 20y
40
+ ··· + 164y −1
c
3
y
41
− 9y
40
+ ··· + 15y −1
c
4
, c
9
y
41
− 39y
40
+ ··· + 14y −1
c
5
y
41
+ 9y
40
+ ··· + 14098y −441
c
7
, c
10
9(9y
41
− 112y
40
+ ··· − 245y −1)
c
8
, c
12
y
41
− 18y
40
+ ··· + 261y −1
c
11
9(9y
41
− 298y
40
+ ··· + 23y −1)
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.967192 + 0.276575I
a = −2.34467 + 1.19064I
b = −0.513333 + 1.085480I
−0.05487 − 3.00795I 10.53277 + 3.04890I
u = −0.967192 − 0.276575I
a = −2.34467 − 1.19064I
b = −0.513333 − 1.085480I
−0.05487 + 3.00795I 10.53277 − 3.04890I
u = 0.917296 + 0.374401I
a = −1.93922 + 0.77186I
b = −0.235092 − 1.333590I
−1.07814 + 4.47132I 3.31883 − 6.44593I
u = 0.917296 − 0.374401I
a = −1.93922 − 0.77186I
b = −0.235092 + 1.333590I
−1.07814 − 4.47132I 3.31883 + 6.44593I
u = 0.957227 + 0.369955I
a = 2.11553 + 0.67760I
b = 0.047538 + 0.842774I
−1.28013 + 1.50111I 4.03097 − 2.30869I
u = 0.957227 − 0.369955I
a = 2.11553 − 0.67760I
b = 0.047538 − 0.842774I
−1.28013 − 1.50111I 4.03097 + 2.30869I
u = 0.530210 + 0.810440I
a = 0.710976 − 0.666761I
b = −0.315679 + 1.151370I
−2.42496 − 0.20996I 2.55692 − 2.02439I
u = 0.530210 − 0.810440I
a = 0.710976 + 0.666761I
b = −0.315679 − 1.151370I
−2.42496 + 0.20996I 2.55692 + 2.02439I
u = −0.957972 + 0.430465I
a = 1.41892 + 1.18660I
b = 0.646242 − 0.047894I
8.98186 + 0.39614I 15.1411 + 0.I
u = −0.957972 − 0.430465I
a = 1.41892 − 1.18660I
b = 0.646242 + 0.047894I
8.98186 − 0.39614I 15.1411 + 0.I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.10437
a = −5.17172
b = −6.08818
3.11824 205.070
u = 0.886514
a = −3.03550
b = −1.93867
2.73703 29.8820
u = 0.412391 + 0.751176I
a = −0.288581 + 1.215010I
b = −0.051027 − 1.286210I
−1.61210 + 4.07460I 5.53794 − 6.18665I
u = 0.412391 − 0.751176I
a = −0.288581 − 1.215010I
b = −0.051027 + 1.286210I
−1.61210 − 4.07460I 5.53794 + 6.18665I
u = −1.034310 + 0.494300I
a = −0.892975 − 0.699136I
b = −0.0244412 + 0.0814704I
9.25914 − 4.28800I 14.2709 + 3.4191I
u = −1.034310 − 0.494300I
a = −0.892975 + 0.699136I
b = −0.0244412 − 0.0814704I
9.25914 + 4.28800I 14.2709 − 3.4191I
u = −0.286646 + 1.124780I
a = 0.054480 + 0.327935I
b = −0.559946 − 1.046810I
−2.21574 + 3.68999I 6.00000 − 8.07545I
u = −0.286646 − 1.124780I
a = 0.054480 − 0.327935I
b = −0.559946 + 1.046810I
−2.21574 − 3.68999I 6.00000 + 8.07545I
u = −0.800978 + 0.205134I
a = −1.065430 + 0.712656I
b = −0.367763 − 1.235220I
−0.769602 + 0.776118I 12.89317 + 1.67571I
u = −0.800978 − 0.205134I
a = −1.065430 − 0.712656I
b = −0.367763 + 1.235220I
−0.769602 − 0.776118I 12.89317 − 1.67571I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.386012 + 0.663461I
a = 0.444495 + 0.472978I
b = −0.147129 − 1.096260I
−2.95452 + 2.14772I −0.86553 − 3.38082I
u = 0.386012 − 0.663461I
a = 0.444495 − 0.472978I
b = −0.147129 + 1.096260I
−2.95452 − 2.14772I −0.86553 + 3.38082I
u = 1.231620 + 0.160871I
a = −1.124090 + 0.424481I
b = −1.302950 + 0.441045I
4.15697 + 0.17532I 0
u = 1.231620 − 0.160871I
a = −1.124090 − 0.424481I
b = −1.302950 − 0.441045I
4.15697 − 0.17532I 0
u = −1.266290 + 0.322271I
a = 1.39309 − 0.89120I
b = 0.518096 − 0.955301I
6.90593 − 9.52644I 0
u = −1.266290 − 0.322271I
a = 1.39309 + 0.89120I
b = 0.518096 + 0.955301I
6.90593 + 9.52644I 0
u = 0.279885 + 1.313700I
a = 0.066965 − 0.177930I
b = 0.252183 + 0.794730I
1.00126 + 5.06650I 0
u = 0.279885 − 1.313700I
a = 0.066965 + 0.177930I
b = 0.252183 − 0.794730I
1.00126 − 5.06650I 0
u = 0.655115 + 0.018638I
a = 1.52419 + 1.39024I
b = −0.034102 − 1.225130I
−3.06353 + 1.37351I 2.29163 − 5.49510I
u = 0.655115 − 0.018638I
a = 1.52419 − 1.39024I
b = −0.034102 + 1.225130I
−3.06353 − 1.37351I 2.29163 + 5.49510I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.643826 + 0.045739I
a = 2.09848 + 1.89990I
b = 0.380025 − 1.158640I
3.72596 − 8.23668I 8.54707 + 5.16332I
u = −0.643826 − 0.045739I
a = 2.09848 − 1.89990I
b = 0.380025 + 1.158640I
3.72596 + 8.23668I 8.54707 − 5.16332I
u = −1.267810 + 0.617591I
a = −1.46734 − 0.11750I
b = −0.73768 + 1.30815I
0.95752 − 9.82258I 0
u = −1.267810 − 0.617591I
a = −1.46734 + 0.11750I
b = −0.73768 − 1.30815I
0.95752 + 9.82258I 0
u = 1.39694 + 0.47967I
a = 0.174461 − 0.228758I
b = 0.304501 − 0.460096I
5.36194 + 1.49175I 0
u = 1.39694 − 0.47967I
a = 0.174461 + 0.228758I
b = 0.304501 + 0.460096I
5.36194 − 1.49175I 0
u = 1.11046 + 1.02409I
a = 0.522862 − 0.518226I
b = 0.196296 + 0.895503I
5.34780 + 4.81823I 0
u = 1.11046 − 1.02409I
a = 0.522862 + 0.518226I
b = 0.196296 − 0.895503I
5.34780 − 4.81823I 0
u = 1.41533 + 0.76051I
a = −0.735876 + 0.009228I
b = −0.123930 − 0.841675I
6.57758 + 3.22162I 0
u = 1.41533 − 0.76051I
a = −0.735876 − 0.009228I
b = −0.123930 + 0.841675I
6.57758 − 3.22162I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0829231
a = 12.2081
b = −0.503450
−0.543185 0.991690
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
9(3u
41
+ 13u
40
+ ··· − 13u + 1)
· (3u
157
− 52u
156
+ ··· + 6598433823u − 250542571)
c
2
(u
41
+ 4u
40
+ ··· − 14u − 1)(u
157
− 7u
156
+ ··· − 3640u + 881)
c
3
(u
41
− 3u
40
+ ··· + u + 1)(u
157
+ 4u
156
+ ··· − 39323u + 2377)
c
4
(u
41
+ u
40
+ ··· + 4u + 1)(u
157
+ 2u
156
+ ··· − 1.09470 × 10
7
u − 5026927)
c
5
(u
41
− u
40
+ ··· − 98u + 21)
· (u
157
− 2u
156
+ ··· + 20131088u + 6493917)
c
6
(u
41
− 4u
40
+ ··· − 14u + 1)(u
157
− 7u
156
+ ··· − 3640u + 881)
c
7
9(3u
41
+ 38u
40
+ ··· + 7u + 1)
· (3u
157
+ u
156
+ ··· + 1673953u + 321907)
c
8
(u
41
− 9u
39
+ ··· − 19u − 1)(u
157
+ u
156
+ ··· − 122125u − 35417)
c
9
(u
41
− u
40
+ ··· + 4u − 1)(u
157
+ 2u
156
+ ··· − 1.09470 × 10
7
u − 5026927)
c
10
9(3u
41
− 38u
40
+ ··· + 7u − 1)
· (3u
157
+ u
156
+ ··· + 1673953u + 321907)
c
11
9(3u
41
− 26u
40
+ ··· − 3u + 1)
· (3u
157
− 25u
156
+ ··· + 10839641u − 673853)
c
12
(u
41
− 9u
39
+ ··· − 19u + 1)(u
157
+ u
156
+ ··· − 122125u − 35417)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
81(9y
41
− 343y
40
+ ··· + 29y −1)
· (9y
157
+ 458y
156
+ ··· + 1.96 × 10
19
y −6.28 × 10
16
)
c
2
, c
6
(y
41
− 20y
40
+ ··· + 164y −1)
· (y
157
− 87y
156
+ ··· + 13639002y −776161)
c
3
(y
41
− 9y
40
+ ··· + 15y −1)
· (y
157
− 4y
156
+ ··· − 64518507y −5650129)
c
4
, c
9
(y
41
− 39y
40
+ ··· + 14y −1)
· (y
157
− 126y
156
+ ··· + 601275991429812y −25269995063329)
c
5
(y
41
+ 9y
40
+ ··· + 14098y −441)
· (y
157
− 18y
156
+ ··· + 2705906604634768y −42170958002889)
c
7
, c
10
81(9y
41
− 112y
40
+ ··· − 245y −1)
· (9y
157
+ 761y
156
+ ··· + 960988298873y −103624116649)
c
8
, c
12
(y
41
− 18y
40
+ ··· + 261y −1)
· (y
157
− 97y
156
+ ··· − 7583991957y −1254363889)
c
11
81(9y
41
− 298y
40
+ ··· + 23y −1)
· (9y
157
+ 359y
156
+ ··· + 15406796408681y −454077865609)
32
