12a
0618
(K12a
0618
)
A knot diagram
1
Linearized knot diagam
3 7 9 1 12 2 11 6 4 5 8 10
Solving Sequence
3,9
4
7,10
2 1 5 6 8 12 11
c
3
c
9
c
2
c
1
c
4
c
6
c
8
c
12
c
11
c
5
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h2.06637 × 10
1122
u
171
+ 5.66934 × 10
1121
u
170
+ ··· + 1.53519 × 10
1123
b − 1.66928 × 10
1126
,
3.27108 × 10
1126
u
171
− 1.40860 × 10
1126
u
170
+ ··· + 9.43066 × 10
1126
a − 9.90581 × 10
1129
,
u
172
− u
171
+ ··· − 565196u + 6143i
I
u
2
= h−6.20622 × 10
35
u
43
+ 5.45751 × 10
35
u
42
+ ··· + 9.02348 × 10
35
b − 3.80488 × 10
36
,
− 2.88632 × 10
37
u
43
+ 2.61790 × 10
37
u
42
+ ··· + 9.92583 × 10
36
a − 9.38464 × 10
36
,
u
44
− 20u
42
+ ··· + 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 216 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
= h2.07 × 10
1122
u
171
+ 5.67 × 10
1121
u
170
+ · · · + 1.54 × 10
1123
b − 1.67 ×
10
1126
, 3.27 × 10
1126
u
171
− 1.41 × 10
1126
u
170
+ · · · + 9.43 × 10
1126
a − 9.91 ×
10
1129
, u
172
− u
171
+ · · · − 565196u + 6143i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
u
2
a
7
=
−0.346856u
171
+ 0.149363u
170
+ ··· − 98479.0u + 1050.38
−0.134600u
171
− 0.0369293u
170
+ ··· − 99069.3u + 1087.35
a
10
=
−u
−u
3
+ u
a
2
=
0.157037u
171
+ 0.104546u
170
+ ··· + 117461.u − 1234.56
0.454629u
171
+ 0.0738660u
170
+ ··· + 260835.u − 2863.48
a
1
=
0.611666u
171
+ 0.178412u
170
+ ··· + 378296.u − 4098.05
0.454629u
171
+ 0.0738660u
170
+ ··· + 260835.u − 2863.48
a
5
=
−0.606909u
171
+ 0.180406u
170
+ ··· − 201820.u + 2162.42
−0.00630853u
171
− 0.0496697u
170
+ ··· − 36441.4u + 399.211
a
6
=
−0.140540u
171
− 0.0387226u
170
+ ··· − 93510.5u + 1042.83
0.690234u
171
+ 0.128825u
170
+ ··· + 409669.u − 4493.60
a
8
=
−0.380933u
171
− 0.190485u
170
+ ··· − 267616.u + 2933.23
0.0984214u
171
+ 0.0757543u
170
+ ··· + 97871.5u − 1070.89
a
12
=
0.230346u
171
+ 0.114479u
170
+ ··· + 157045.u − 1670.25
0.415235u
171
+ 0.0578417u
170
+ ··· + 232774.u − 2556.09
a
11
=
0.0205703u
171
− 0.0861297u
170
+ ··· − 13104.7u + 183.881
−0.132302u
171
+ 0.0268440u
170
+ ··· − 53696.3u + 590.151
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.22960u
171
− 0.108089u
170
+ ··· − 1.16389 × 10
6
u + 12794.1
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
172
+ 79u
171
+ ··· + 1449530204u + 56445169
c
2
, c
6
u
172
− u
171
+ ··· − 23706u − 7513
c
3
, c
9
u
172
− u
171
+ ··· − 565196u + 6143
c
4
u
172
− 10u
171
+ ··· − 9148u + 271
c
5
u
172
− 4u
171
+ ··· − 11762454u − 858173
c
7
, c
11
u
172
+ 7u
171
+ ··· + 30336u + 1009
c
8
u
172
− 5u
171
+ ··· − 21167440263u + 1101672697
c
10
u
172
+ u
171
+ ··· + 1522u − 41
c
12
u
172
+ 17u
171
+ ··· + 493972u + 667
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
172
+ 33y
171
+ ··· − 49226118750771920y + 3186057103438561
c
2
, c
6
y
172
− 79y
171
+ ··· − 1449530204y + 56445169
c
3
, c
9
y
172
− 127y
171
+ ··· − 334380335706y + 37736449
c
4
y
172
− 10y
171
+ ··· − 2951210y + 73441
c
5
y
172
+ 46y
171
+ ··· + 307627127926670y + 736460897929
c
7
, c
11
y
172
− 99y
171
+ ··· − 261670344y + 1018081
c
8
y
172
− 43y
171
+ ··· − 9.57 × 10
19
y + 1.21 × 10
18
c
10
y
172
− 23y
171
+ ··· − 3429060y + 1681
c
12
y
172
+ 29y
171
+ ··· − 234106980580y + 444889
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.998590 + 0.083018I
a = −2.70315 − 1.43498I
b = −0.838096 + 0.342183I
−4.01393 − 5.49936I 0
u = 0.998590 − 0.083018I
a = −2.70315 + 1.43498I
b = −0.838096 − 0.342183I
−4.01393 + 5.49936I 0
u = −0.671216 + 0.734904I
a = −0.352902 − 0.428254I
b = 1.018330 + 0.591636I
1.007700 − 0.949864I 0
u = −0.671216 − 0.734904I
a = −0.352902 + 0.428254I
b = 1.018330 − 0.591636I
1.007700 + 0.949864I 0
u = 0.840186 + 0.514785I
a = −0.88529 + 2.30523I
b = −0.797168 − 0.308580I
−3.50219 + 0.65545I 0
u = 0.840186 − 0.514785I
a = −0.88529 − 2.30523I
b = −0.797168 + 0.308580I
−3.50219 − 0.65545I 0
u = −1.017000 + 0.033684I
a = −1.64594 + 1.48163I
b = −0.984969 − 0.459473I
−1.87008 + 0.90962I 0
u = −1.017000 − 0.033684I
a = −1.64594 − 1.48163I
b = −0.984969 + 0.459473I
−1.87008 − 0.90962I 0
u = 0.969751 + 0.311784I
a = 0.252577 + 0.225147I
b = −0.384266 − 0.700131I
−0.08093 − 4.78645I 0
u = 0.969751 − 0.311784I
a = 0.252577 − 0.225147I
b = −0.384266 + 0.700131I
−0.08093 + 4.78645I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.902338 + 0.352876I
a = 0.535598 + 0.489012I
b = −0.273026 − 1.110210I
−0.60716 + 5.91889I 0
u = −0.902338 − 0.352876I
a = 0.535598 − 0.489012I
b = −0.273026 + 1.110210I
−0.60716 − 5.91889I 0
u = −0.958081 + 0.051887I
a = 0.08488 − 1.58109I
b = −0.941235 + 0.832001I
0.105599 + 0.893550I 0
u = −0.958081 − 0.051887I
a = 0.08488 + 1.58109I
b = −0.941235 − 0.832001I
0.105599 − 0.893550I 0
u = 1.05279
a = 0.463582
b = 1.78832
−7.87076 0
u = −0.907574 + 0.268502I
a = −0.207023 + 0.209027I
b = 0.685759 + 0.628492I
−0.314311 + 0.258798I 0
u = −0.907574 − 0.268502I
a = −0.207023 − 0.209027I
b = 0.685759 − 0.628492I
−0.314311 − 0.258798I 0
u = −1.056610 + 0.006391I
a = −0.710384 + 0.337117I
b = 0.479639 − 0.683385I
−2.04073 − 0.45074I 0
u = −1.056610 − 0.006391I
a = −0.710384 − 0.337117I
b = 0.479639 + 0.683385I
−2.04073 + 0.45074I 0
u = −0.616429 + 0.862114I
a = 0.773597 + 0.398347I
b = −0.997849 − 0.055178I
−5.16587 + 7.46097I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.616429 − 0.862114I
a = 0.773597 − 0.398347I
b = −0.997849 + 0.055178I
−5.16587 − 7.46097I 0
u = −1.057080 + 0.114780I
a = 1.158650 + 0.468383I
b = 0.941807 − 0.404110I
−0.826616 + 0.812580I 0
u = −1.057080 − 0.114780I
a = 1.158650 − 0.468383I
b = 0.941807 + 0.404110I
−0.826616 − 0.812580I 0
u = 0.758962 + 0.537007I
a = 0.638146 − 0.538369I
b = −0.360538 + 0.711399I
2.49080 − 1.08580I 0
u = 0.758962 − 0.537007I
a = 0.638146 + 0.538369I
b = −0.360538 − 0.711399I
2.49080 + 1.08580I 0
u = 0.918625 + 0.567748I
a = −0.359273 − 0.525823I
b = 0.865900 − 0.398912I
−0.57933 + 2.45902I 0
u = 0.918625 − 0.567748I
a = −0.359273 + 0.525823I
b = 0.865900 + 0.398912I
−0.57933 − 2.45902I 0
u = 1.080630 + 0.095630I
a = −0.857223 + 0.793288I
b = −1.43812 − 0.46639I
−7.17053 − 0.75192I 0
u = 1.080630 − 0.095630I
a = −0.857223 − 0.793288I
b = −1.43812 + 0.46639I
−7.17053 + 0.75192I 0
u = 0.899924 + 0.111700I
a = 0.808056 + 0.990079I
b = −0.815202 − 0.803021I
0.45794 − 5.21108I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.899924 − 0.111700I
a = 0.808056 − 0.990079I
b = −0.815202 + 0.803021I
0.45794 + 5.21108I 0
u = −0.023761 + 1.095910I
a = −0.13852 + 1.48753I
b = 0.534497 − 0.796796I
0.23858 − 8.55795I 0
u = −0.023761 − 1.095910I
a = −0.13852 − 1.48753I
b = 0.534497 + 0.796796I
0.23858 + 8.55795I 0
u = −0.350017 + 0.831037I
a = 1.00244 − 1.73243I
b = −0.834234 + 0.742856I
1.071920 + 0.352220I 0
u = −0.350017 − 0.831037I
a = 1.00244 + 1.73243I
b = −0.834234 − 0.742856I
1.071920 − 0.352220I 0
u = −1.090900 + 0.139400I
a = 0.016464 − 0.677979I
b = −0.55127 + 1.34233I
−3.24330 + 6.85137I 0
u = −1.090900 − 0.139400I
a = 0.016464 + 0.677979I
b = −0.55127 − 1.34233I
−3.24330 − 6.85137I 0
u = 1.102380 + 0.019608I
a = −1.170270 + 0.218937I
b = 0.413295 − 0.730782I
−4.70366 − 4.85783I 0
u = 1.102380 − 0.019608I
a = −1.170270 − 0.218937I
b = 0.413295 + 0.730782I
−4.70366 + 4.85783I 0
u = −0.972081 + 0.541376I
a = −0.66541 − 1.60487I
b = −1.154500 + 0.536515I
0.10544 + 5.89897I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.972081 − 0.541376I
a = −0.66541 + 1.60487I
b = −1.154500 − 0.536515I
0.10544 − 5.89897I 0
u = 0.851388 + 0.721308I
a = 0.210838 − 1.081940I
b = 0.575580 + 0.629970I
2.34860 − 3.86760I 0
u = 0.851388 − 0.721308I
a = 0.210838 + 1.081940I
b = 0.575580 − 0.629970I
2.34860 + 3.86760I 0
u = 0.355867 + 0.805051I
a = −0.767638 + 0.555425I
b = 1.071560 − 0.641416I
−1.21606 + 7.47943I 0
u = 0.355867 − 0.805051I
a = −0.767638 − 0.555425I
b = 1.071560 + 0.641416I
−1.21606 − 7.47943I 0
u = −1.122630 + 0.179327I
a = 0.90061 + 2.22103I
b = 1.104150 − 0.601771I
−6.71802 + 9.97895I 0
u = −1.122630 − 0.179327I
a = 0.90061 − 2.22103I
b = 1.104150 + 0.601771I
−6.71802 − 9.97895I 0
u = 1.135510 + 0.072608I
a = −0.706587 − 1.095310I
b = 0.474319 + 0.587346I
−5.57452 − 2.69571I 0
u = 1.135510 − 0.072608I
a = −0.706587 + 1.095310I
b = 0.474319 − 0.587346I
−5.57452 + 2.69571I 0
u = 1.128100 + 0.150398I
a = 1.15262 − 0.98837I
b = 0.966602 + 0.612007I
−1.17125 − 5.16205I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.128100 − 0.150398I
a = 1.15262 + 0.98837I
b = 0.966602 − 0.612007I
−1.17125 + 5.16205I 0
u = −0.042131 + 0.860814I
a = 0.44215 − 1.48535I
b = −0.931653 + 0.700856I
2.93049 + 3.20631I 0
u = −0.042131 − 0.860814I
a = 0.44215 + 1.48535I
b = −0.931653 − 0.700856I
2.93049 − 3.20631I 0
u = 0.384843 + 0.770500I
a = 1.24256 + 1.42581I
b = −0.932114 − 0.593403I
0.75465 − 1.94944I 0
u = 0.384843 − 0.770500I
a = 1.24256 − 1.42581I
b = −0.932114 + 0.593403I
0.75465 + 1.94944I 0
u = 1.145900 + 0.180926I
a = 0.73810 − 1.83195I
b = 1.041890 + 0.599815I
−3.64420 − 5.41523I 0
u = 1.145900 − 0.180926I
a = 0.73810 + 1.83195I
b = 1.041890 − 0.599815I
−3.64420 + 5.41523I 0
u = −1.149230 + 0.230360I
a = 0.18034 + 1.95929I
b = 1.022580 − 0.483336I
−7.21720 + 1.49192I 0
u = −1.149230 − 0.230360I
a = 0.18034 − 1.95929I
b = 1.022580 + 0.483336I
−7.21720 − 1.49192I 0
u = −0.151449 + 0.803928I
a = 0.42985 − 1.47905I
b = −0.753373 + 0.771225I
3.47545 + 2.34473I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.151449 − 0.803928I
a = 0.42985 + 1.47905I
b = −0.753373 − 0.771225I
3.47545 − 2.34473I 0
u = 0.327063 + 0.746465I
a = 0.64210 − 2.14956I
b = −0.890841 + 0.744951I
0.91188 + 5.28410I 0
u = 0.327063 − 0.746465I
a = 0.64210 + 2.14956I
b = −0.890841 − 0.744951I
0.91188 − 5.28410I 0
u = −0.542555 + 0.601420I
a = 0.601527 + 1.247000I
b = 0.534772 − 0.819837I
0.41977 − 2.01791I 0
u = −0.542555 − 0.601420I
a = 0.601527 − 1.247000I
b = 0.534772 + 0.819837I
0.41977 + 2.01791I 0
u = 0.114065 + 1.190940I
a = −0.115655 − 1.272080I
b = 0.614371 + 0.627266I
3.11305 + 2.49566I 0
u = 0.114065 − 1.190940I
a = −0.115655 + 1.272080I
b = 0.614371 − 0.627266I
3.11305 − 2.49566I 0
u = 0.801618
a = −1.81982
b = −1.50325
−7.00476 0
u = 1.148720 + 0.345750I
a = −0.261247 + 0.324088I
b = 0.169590 − 0.985522I
0.10710 − 5.28156I 0
u = 1.148720 − 0.345750I
a = −0.261247 − 0.324088I
b = 0.169590 + 0.985522I
0.10710 + 5.28156I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.108760 + 0.472888I
a = −0.58310 + 1.42647I
b = −1.239820 − 0.677361I
−3.52735 − 12.20950I 0
u = 1.108760 − 0.472888I
a = −0.58310 − 1.42647I
b = −1.239820 + 0.677361I
−3.52735 + 12.20950I 0
u = 1.20705
a = −1.32736
b = −1.27163
−6.35449 0
u = 1.103180 + 0.502200I
a = −0.991477 − 0.358403I
b = 0.793961 − 0.400031I
−1.44409 − 2.82165I 0
u = 1.103180 − 0.502200I
a = −0.991477 + 0.358403I
b = 0.793961 + 0.400031I
−1.44409 + 2.82165I 0
u = 0.109090 + 0.772843I
a = 0.419557 + 1.171380I
b = −1.037470 − 0.634989I
1.59568 − 6.71993I 0
u = 0.109090 − 0.772843I
a = 0.419557 − 1.171380I
b = −1.037470 + 0.634989I
1.59568 + 6.71993I 0
u = −1.22022
a = −0.671099
b = −1.60020
−6.41930 0
u = −0.042478 + 0.753549I
a = 0.70835 + 1.40352I
b = −0.034371 − 0.482778I
−2.58094 + 0.53449I 0
u = −0.042478 − 0.753549I
a = 0.70835 − 1.40352I
b = −0.034371 + 0.482778I
−2.58094 − 0.53449I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.512305 + 1.144340I
a = 0.786948 + 1.054200I
b = −1.011110 − 0.473275I
−4.67500 − 3.97099I 0
u = −0.512305 − 1.144340I
a = 0.786948 − 1.054200I
b = −1.011110 + 0.473275I
−4.67500 + 3.97099I 0
u = −1.148210 + 0.531016I
a = −1.041120 − 0.136801I
b = 0.755046 + 0.678130I
−1.41753 + 4.72367I 0
u = −1.148210 − 0.531016I
a = −1.041120 + 0.136801I
b = 0.755046 − 0.678130I
−1.41753 − 4.72367I 0
u = −1.202760 + 0.410604I
a = −0.448550 − 0.278364I
b = 0.522545 + 0.870296I
0.21839 + 2.08193I 0
u = −1.202760 − 0.410604I
a = −0.448550 + 0.278364I
b = 0.522545 − 0.870296I
0.21839 − 2.08193I 0
u = 1.261080 + 0.163710I
a = 0.217143 − 1.081370I
b = 0.937483 + 0.914940I
−4.24744 − 3.11310I 0
u = 1.261080 − 0.163710I
a = 0.217143 + 1.081370I
b = 0.937483 − 0.914940I
−4.24744 + 3.11310I 0
u = −1.269440 + 0.079003I
a = 0.230927 + 0.872934I
b = 1.19548 − 0.86969I
−4.93877 + 4.11641I 0
u = −1.269440 − 0.079003I
a = 0.230927 − 0.872934I
b = 1.19548 + 0.86969I
−4.93877 − 4.11641I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.167760 + 0.549132I
a = −0.146242 + 1.286230I
b = 0.382585 − 0.390444I
−4.53113 + 3.56547I 0
u = 1.167760 − 0.549132I
a = −0.146242 − 1.286230I
b = 0.382585 + 0.390444I
−4.53113 − 3.56547I 0
u = −1.249990 + 0.349953I
a = 1.62100 + 1.21358I
b = 0.949362 − 0.457267I
−2.04894 + 6.40652I 0
u = −1.249990 − 0.349953I
a = 1.62100 − 1.21358I
b = 0.949362 + 0.457267I
−2.04894 − 6.40652I 0
u = −0.085322 + 1.299100I
a = −0.485765 + 1.230370I
b = 1.069820 − 0.642227I
−1.38147 + 13.97860I 0
u = −0.085322 − 1.299100I
a = −0.485765 − 1.230370I
b = 1.069820 + 0.642227I
−1.38147 − 13.97860I 0
u = 1.226950 + 0.435585I
a = 1.26021 − 1.82680I
b = 0.941981 + 0.627852I
−2.00424 − 9.78934I 0
u = 1.226950 − 0.435585I
a = 1.26021 + 1.82680I
b = 0.941981 − 0.627852I
−2.00424 + 9.78934I 0
u = 0.159664 + 0.671926I
a = 0.143454 + 1.182010I
b = −0.535188 − 0.757867I
3.07778 + 1.44225I 0
u = 0.159664 − 0.671926I
a = 0.143454 − 1.182010I
b = −0.535188 + 0.757867I
3.07778 − 1.44225I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.259853 + 1.288290I
a = −0.309473 + 0.724937I
b = 1.011020 − 0.341449I
−5.41386 + 2.32416I 0
u = 0.259853 − 1.288290I
a = −0.309473 − 0.724937I
b = 1.011020 + 0.341449I
−5.41386 − 2.32416I 0
u = −1.336930 + 0.057521I
a = −1.020810 − 0.585017I
b = −1.165680 − 0.238914I
−9.28643 + 2.28089I 0
u = −1.336930 − 0.057521I
a = −1.020810 + 0.585017I
b = −1.165680 + 0.238914I
−9.28643 − 2.28089I 0
u = −1.093550 + 0.776338I
a = −0.47922 − 1.56155I
b = −0.980501 + 0.417713I
−0.50308 + 5.35081I 0
u = −1.093550 − 0.776338I
a = −0.47922 + 1.56155I
b = −0.980501 − 0.417713I
−0.50308 − 5.35081I 0
u = −1.254000 + 0.498619I
a = 0.353611 + 0.779468I
b = −0.114679 − 0.874953I
−6.10140 + 4.22576I 0
u = −1.254000 − 0.498619I
a = 0.353611 − 0.779468I
b = −0.114679 + 0.874953I
−6.10140 − 4.22576I 0
u = 1.328680 + 0.297617I
a = 0.326746 + 0.245963I
b = 1.308420 − 0.312619I
−10.72340 + 0.03355I 0
u = 1.328680 − 0.297617I
a = 0.326746 − 0.245963I
b = 1.308420 + 0.312619I
−10.72340 − 0.03355I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.259210 + 0.549836I
a = −0.724990 + 0.861993I
b = 0.480409 − 0.824482I
−5.80576 − 5.37340I 0
u = 1.259210 − 0.549836I
a = −0.724990 − 0.861993I
b = 0.480409 + 0.824482I
−5.80576 + 5.37340I 0
u = 0.799397 + 1.118970I
a = 0.566525 − 0.757762I
b = −0.858471 + 0.346278I
0.08172 − 2.26660I 0
u = 0.799397 − 1.118970I
a = 0.566525 + 0.757762I
b = −0.858471 − 0.346278I
0.08172 + 2.26660I 0
u = 1.384640 + 0.082717I
a = −1.004530 − 0.181068I
b = −1.068940 − 0.069049I
−6.89103 − 1.05292I 0
u = 1.384640 − 0.082717I
a = −1.004530 + 0.181068I
b = −1.068940 + 0.069049I
−6.89103 + 1.05292I 0
u = −0.612876
a = 0.663834
b = 0.504299
−0.951403 0
u = −1.336290 + 0.380072I
a = 0.82342 + 1.18995I
b = 1.211440 − 0.617972I
−2.89733 + 10.96930I 0
u = −1.336290 − 0.380072I
a = 0.82342 − 1.18995I
b = 1.211440 + 0.617972I
−2.89733 − 10.96930I 0
u = −1.359100 + 0.289253I
a = 0.625095 − 0.099927I
b = 1.242870 + 0.092408I
−6.61459 + 5.82404I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.359100 − 0.289253I
a = 0.625095 + 0.099927I
b = 1.242870 − 0.092408I
−6.61459 − 5.82404I 0
u = 1.364230 + 0.294735I
a = 0.500379 − 0.199704I
b = 1.401460 + 0.021802I
−11.1084 − 10.9874I 0
u = 1.364230 − 0.294735I
a = 0.500379 + 0.199704I
b = 1.401460 − 0.021802I
−11.1084 + 10.9874I 0
u = 1.349580 + 0.406070I
a = 0.82516 − 1.34911I
b = 1.085380 + 0.678313I
−1.47869 − 7.80448I 0
u = 1.349580 − 0.406070I
a = 0.82516 + 1.34911I
b = 1.085380 − 0.678313I
−1.47869 + 7.80448I 0
u = −1.31980 + 0.52740I
a = −0.337232 − 0.729937I
b = 0.579825 + 0.683070I
−1.52491 + 1.56540I 0
u = −1.31980 − 0.52740I
a = −0.337232 + 0.729937I
b = 0.579825 − 0.683070I
−1.52491 − 1.56540I 0
u = −0.243701 + 0.523659I
a = −0.19023 + 2.63527I
b = −0.786842 − 0.641066I
1.23767 − 2.89064I 0
u = −0.243701 − 0.523659I
a = −0.19023 − 2.63527I
b = −0.786842 + 0.641066I
1.23767 + 2.89064I 0
u = 0.351885 + 0.448093I
a = −0.114027 − 0.308074I
b = 0.062567 − 0.530066I
1.44477 + 1.59152I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.351885 − 0.448093I
a = −0.114027 + 0.308074I
b = 0.062567 + 0.530066I
1.44477 − 1.59152I 0
u = −0.505387 + 0.259815I
a = 0.562521 − 0.450150I
b = 0.737299 − 0.072449I
−1.149250 + 0.056990I 0
u = −0.505387 − 0.259815I
a = 0.562521 + 0.450150I
b = 0.737299 + 0.072449I
−1.149250 − 0.056990I 0
u = 0.10760 + 1.43221I
a = −0.339211 − 1.136350I
b = 0.992436 + 0.581582I
1.97716 − 7.26559I 0
u = 0.10760 − 1.43221I
a = −0.339211 + 1.136350I
b = 0.992436 − 0.581582I
1.97716 + 7.26559I 0
u = 1.32344 + 0.55896I
a = 0.443021 − 0.645431I
b = −0.431089 + 0.880936I
−0.73057 − 8.49882I 0
u = 1.32344 − 0.55896I
a = 0.443021 + 0.645431I
b = −0.431089 − 0.880936I
−0.73057 + 8.49882I 0
u = −1.34383 + 0.53049I
a = 0.528385 + 0.663994I
b = −0.462330 − 1.018120I
−3.9068 + 14.2702I 0
u = −1.34383 − 0.53049I
a = 0.528385 − 0.663994I
b = −0.462330 + 1.018120I
−3.9068 − 14.2702I 0
u = −0.539194 + 0.114319I
a = 2.43005 − 1.22633I
b = −1.024180 − 0.404154I
−4.76460 − 8.42888I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.539194 − 0.114319I
a = 2.43005 + 1.22633I
b = −1.024180 + 0.404154I
−4.76460 + 8.42888I 0
u = −0.347449 + 0.413474I
a = 2.91043 − 0.50359I
b = −0.973884 − 0.146380I
−4.72180 + 1.18594I 0
u = −0.347449 − 0.413474I
a = 2.91043 + 0.50359I
b = −0.973884 + 0.146380I
−4.72180 − 1.18594I 0
u = −1.50172 + 0.13595I
a = −0.561304 − 0.159721I
b = −0.960942 − 0.444610I
−7.64378 − 4.26202I 0
u = −1.50172 − 0.13595I
a = −0.561304 + 0.159721I
b = −0.960942 + 0.444610I
−7.64378 + 4.26202I 0
u = −1.34715 + 0.68196I
a = 0.22814 + 1.70279I
b = 1.101010 − 0.647754I
−7.66123 + 10.88750I 0
u = −1.34715 − 0.68196I
a = 0.22814 − 1.70279I
b = 1.101010 + 0.647754I
−7.66123 − 10.88750I 0
u = 1.51034 + 0.02862I
a = −0.956226 + 0.015529I
b = −0.790805 + 0.378359I
−6.96844 − 0.80038I 0
u = 1.51034 − 0.02862I
a = −0.956226 − 0.015529I
b = −0.790805 − 0.378359I
−6.96844 + 0.80038I 0
u = 1.38592 + 0.62946I
a = −0.419266 + 1.334070I
b = −1.175050 − 0.512438I
−9.27131 − 9.10281I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38592 − 0.62946I
a = −0.419266 − 1.334070I
b = −1.175050 + 0.512438I
−9.27131 + 9.10281I 0
u = −1.48744 + 0.34894I
a = −0.429082 − 0.173192I
b = −1.187870 − 0.075409I
−11.48550 + 3.23271I 0
u = −1.48744 − 0.34894I
a = −0.429082 + 0.173192I
b = −1.187870 + 0.075409I
−11.48550 − 3.23271I 0
u = 1.43525 + 0.58085I
a = −0.47231 + 1.47471I
b = −1.175510 − 0.697807I
−6.1324 − 20.4683I 0
u = 1.43525 − 0.58085I
a = −0.47231 − 1.47471I
b = −1.175510 + 0.697807I
−6.1324 + 20.4683I 0
u = −1.44968 + 0.60453I
a = −0.47889 − 1.40475I
b = −1.134340 + 0.643643I
−2.8585 + 14.1270I 0
u = −1.44968 − 0.60453I
a = −0.47889 + 1.40475I
b = −1.134340 − 0.643643I
−2.8585 − 14.1270I 0
u = 0.143722 + 0.343781I
a = −1.23341 − 0.76427I
b = 1.163920 − 0.361344I
−4.68589 − 0.94693I −9.76471 + 5.85345I
u = 0.143722 − 0.343781I
a = −1.23341 + 0.76427I
b = 1.163920 + 0.361344I
−4.68589 + 0.94693I −9.76471 − 5.85345I
u = −0.266154 + 0.172836I
a = −0.22800 + 1.68476I
b = 0.189222 + 0.866563I
−1.14221 − 5.34706I −3.94019 + 5.65009I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.266154 − 0.172836I
a = −0.22800 − 1.68476I
b = 0.189222 − 0.866563I
−1.14221 + 5.34706I −3.94019 − 5.65009I
u = 0.287851 + 0.076632I
a = 2.95502 + 2.92029I
b = −0.899062 + 0.332036I
−0.98061 + 3.88705I −10.08732 − 6.71034I
u = 0.287851 − 0.076632I
a = 2.95502 − 2.92029I
b = −0.899062 − 0.332036I
−0.98061 − 3.88705I −10.08732 + 6.71034I
u = 1.60615 + 0.60306I
a = 0.312232 − 1.298830I
b = 1.001710 + 0.613928I
−2.75443 − 6.59029I 0
u = 1.60615 − 0.60306I
a = 0.312232 + 1.298830I
b = 1.001710 − 0.613928I
−2.75443 + 6.59029I 0
u = −1.39519 + 1.19829I
a = −0.072995 + 1.214310I
b = 0.991711 − 0.435192I
−6.19486 − 0.10581I 0
u = −1.39519 − 1.19829I
a = −0.072995 − 1.214310I
b = 0.991711 + 0.435192I
−6.19486 + 0.10581I 0
u = 0.0106565
a = −41.0229
b = 1.18073
−2.71462 11.4260
u = 2.02245 + 0.29318I
a = −0.430631 + 0.881694I
b = −0.780075 − 0.373359I
−5.34589 + 2.23996I 0
u = 2.02245 − 0.29318I
a = −0.430631 − 0.881694I
b = −0.780075 + 0.373359I
−5.34589 − 2.23996I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −2.06853 + 0.78427I
a = 0.008729 + 0.643538I
b = −0.966079 − 0.464302I
−6.11602 − 5.79435I 0
u = −2.06853 − 0.78427I
a = 0.008729 − 0.643538I
b = −0.966079 + 0.464302I
−6.11602 + 5.79435I 0
22
II. I
u
2
= h−6.21 × 10
35
u
43
+ 5.46 × 10
35
u
42
+ · · · + 9.02 × 10
35
b − 3.80 ×
10
36
, −2.89 × 10
37
u
43
+ 2.62 × 10
37
u
42
+ · · · + 9.93 × 10
36
a − 9.38 ×
10
36
, u
44
− 20u
42
+ · · · + 6u + 1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
u
2
a
7
=
2.90788u
43
− 2.63746u
42
+ ··· + 20.4129u + 0.945477
0.687785u
43
− 0.604812u
42
+ ··· + 13.2809u + 4.21665
a
10
=
−u
−u
3
+ u
a
2
=
−0.657762u
43
+ 1.56723u
42
+ ··· − 7.57170u + 3.04304
−1.24340u
43
+ 0.917446u
42
+ ··· − 17.5432u − 5.57922
a
1
=
−1.90117u
43
+ 2.48467u
42
+ ··· − 25.1149u − 2.53617
−1.24340u
43
+ 0.917446u
42
+ ··· − 17.5432u − 5.57922
a
5
=
1.02309u
43
− 1.53973u
42
+ ··· + 0.388988u − 2.06293
2.67525u
43
− 1.11088u
42
+ ··· + 23.8189u + 8.06484
a
6
=
4.85988u
43
− 2.11516u
42
+ ··· + 33.5061u + 8.24005
−1.05936u
43
+ 1.03701u
42
+ ··· − 15.6824u − 3.66271
a
8
=
−2.97865u
43
+ 0.749786u
42
+ ··· − 25.8021u − 8.35982
−0.874147u
43
+ 0.164133u
42
+ ··· + 0.980105u − 0.0871693
a
12
=
−1.16958u
43
+ 1.48867u
42
+ ··· − 11.7672u + 0.159567
−1.96414u
43
+ 1.41460u
42
+ ··· − 25.6465u − 7.27896
a
11
=
−5.02588u
43
+ 2.56542u
42
+ ··· − 47.0608u − 10.4571
−2.17590u
43
+ 0.687432u
42
+ ··· − 17.3919u − 5.84439
(ii) Obstruction class = 1
(iii) Cusp Shapes = −38.2555u
43
+ 2.09449u
42
+ ··· − 146.950u − 67.1161
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
44
− 24u
43
+ ··· − 20u + 1
c
2
u
44
− 12u
42
+ ··· − 4u + 1
c
3
u
44
− 20u
42
+ ··· + 6u + 1
c
4
u
44
+ 3u
43
+ ··· + 12u − 1
c
5
u
44
− u
43
+ ··· + 2u + 1
c
6
u
44
− 12u
42
+ ··· + 4u + 1
c
7
u
44
− 4u
43
+ ··· − 16u
2
+ 1
c
8
u
44
+ 8u
43
+ ··· − 27u − 11
c
9
u
44
− 20u
42
+ ··· − 6u + 1
c
10
u
44
− 8u
42
+ ··· + 2u + 1
c
11
u
44
+ 4u
43
+ ··· − 16u
2
+ 1
c
12
u
44
− 2u
42
+ ··· − 2u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
44
− 4y
43
+ ··· + 16y + 1
c
2
, c
6
y
44
− 24y
43
+ ··· − 20y + 1
c
3
, c
9
y
44
− 40y
43
+ ··· − 22y + 1
c
4
y
44
− 3y
43
+ ··· − 42y + 1
c
5
y
44
+ y
43
+ ··· − 14y + 1
c
7
, c
11
y
44
− 24y
43
+ ··· − 32y + 1
c
8
y
44
− 4y
43
+ ··· − 1609y + 121
c
10
y
44
− 16y
43
+ ··· + 12y + 1
c
12
y
44
− 4y
43
+ ··· + 8y + 1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.901073 + 0.377916I
a = −2.00991 − 0.00283I
b = 0.490343 + 0.410936I
−3.15019 + 6.29675I −7.67907 − 7.91628I
u = −0.901073 − 0.377916I
a = −2.00991 + 0.00283I
b = 0.490343 − 0.410936I
−3.15019 − 6.29675I −7.67907 + 7.91628I
u = −0.944951 + 0.183483I
a = −0.1175490 + 0.0432031I
b = −0.350597 + 0.984100I
−2.33559 + 6.42558I −8.45343 − 7.17592I
u = −0.944951 − 0.183483I
a = −0.1175490 − 0.0432031I
b = −0.350597 − 0.984100I
−2.33559 − 6.42558I −8.45343 + 7.17592I
u = 1.005250 + 0.264516I
a = 0.616657 + 0.166776I
b = −0.366918 − 0.678496I
−0.69003 − 4.31512I −11.20538 + 1.54587I
u = 1.005250 − 0.264516I
a = 0.616657 − 0.166776I
b = −0.366918 + 0.678496I
−0.69003 + 4.31512I −11.20538 − 1.54587I
u = 0.882120 + 0.644463I
a = −0.02434 − 1.48921I
b = 1.077520 + 0.430394I
−5.54274 − 0.47109I 0
u = 0.882120 − 0.644463I
a = −0.02434 + 1.48921I
b = 1.077520 − 0.430394I
−5.54274 + 0.47109I 0
u = 0.764290 + 0.455149I
a = 0.279914 − 0.889213I
b = 0.575453 − 0.336588I
−0.12785 + 1.44431I −7.64136 − 1.00900I
u = 0.764290 − 0.455149I
a = 0.279914 + 0.889213I
b = 0.575453 + 0.336588I
−0.12785 − 1.44431I −7.64136 + 1.00900I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.11197
a = −0.504938
b = −1.75607
−8.14919 −29.8720
u = 0.450595 + 0.732211I
a = −0.262400 + 1.223210I
b = −0.799390 − 0.663228I
2.09845 − 4.91731I −3.94608 + 7.90276I
u = 0.450595 − 0.732211I
a = −0.262400 − 1.223210I
b = −0.799390 + 0.663228I
2.09845 + 4.91731I −3.94608 − 7.90276I
u = 0.798854 + 0.854683I
a = −0.769386 + 0.887797I
b = 0.716127 − 0.404844I
0.73484 − 2.35047I 0
u = 0.798854 − 0.854683I
a = −0.769386 − 0.887797I
b = 0.716127 + 0.404844I
0.73484 + 2.35047I 0
u = −0.967285 + 0.675896I
a = 0.48770 + 1.79525I
b = 1.063870 − 0.458204I
−0.53790 + 5.94345I 0
u = −0.967285 − 0.675896I
a = 0.48770 − 1.79525I
b = 1.063870 + 0.458204I
−0.53790 − 5.94345I 0
u = 1.108340 + 0.416965I
a = 0.88412 − 1.97267I
b = 1.132540 + 0.566419I
−5.42907 − 10.68940I 0
u = 1.108340 − 0.416965I
a = 0.88412 + 1.97267I
b = 1.132540 − 0.566419I
−5.42907 + 10.68940I 0
u = 0.801691
a = 1.67330
b = 1.54650
−6.93215 45.5880
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.20182
a = −1.08290
b = −1.44210
−5.79012 0
u = 1.144900 + 0.422526I
a = −0.719230 − 0.277160I
b = 0.592086 − 0.585267I
−0.69468 − 3.52169I 0
u = 1.144900 − 0.422526I
a = −0.719230 + 0.277160I
b = 0.592086 + 0.585267I
−0.69468 + 3.52169I 0
u = −1.322200 + 0.079677I
a = 0.276319 − 1.040440I
b = 0.811710 + 0.807885I
−3.62581 − 4.82408I 0
u = −1.322200 − 0.079677I
a = 0.276319 + 1.040440I
b = 0.811710 − 0.807885I
−3.62581 + 4.82408I 0
u = 0.285240 + 0.590878I
a = 1.45956 + 1.56106I
b = −0.827595 − 0.691568I
1.93596 − 0.62619I −0.776154 + 0.510272I
u = 0.285240 − 0.590878I
a = 1.45956 − 1.56106I
b = −0.827595 + 0.691568I
1.93596 + 0.62619I −0.776154 − 0.510272I
u = −1.306490 + 0.374508I
a = 1.11857 + 1.39987I
b = 1.046080 − 0.629497I
−2.12726 + 8.45956I 0
u = −1.306490 − 0.374508I
a = 1.11857 − 1.39987I
b = 1.046080 + 0.629497I
−2.12726 − 8.45956I 0
u = 1.370410 + 0.052913I
a = −0.626713 + 0.633790I
b = −1.106550 + 0.099422I
−8.89608 − 1.59803I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.370410 − 0.052913I
a = −0.626713 − 0.633790I
b = −1.106550 − 0.099422I
−8.89608 + 1.59803I 0
u = −0.415689 + 0.442578I
a = 0.469014 − 0.049308I
b = −0.941891 − 0.712504I
1.66272 − 0.38886I −0.61899 − 1.69904I
u = −0.415689 − 0.442578I
a = 0.469014 + 0.049308I
b = −0.941891 + 0.712504I
1.66272 + 0.38886I −0.61899 + 1.69904I
u = −1.43454 + 0.00369I
a = −1.117540 + 0.725121I
b = −0.827726 + 0.023429I
−7.74384 + 2.07606I 0
u = −1.43454 − 0.00369I
a = −1.117540 − 0.725121I
b = −0.827726 − 0.023429I
−7.74384 − 2.07606I 0
u = −0.189388 + 0.405757I
a = 0.27116 + 2.94288I
b = −0.900574 − 0.714895I
1.72947 − 4.77449I −1.56456 + 4.15887I
u = −0.189388 − 0.405757I
a = 0.27116 − 2.94288I
b = −0.900574 + 0.714895I
1.72947 + 4.77449I −1.56456 − 4.15887I
u = −0.409827 + 0.156202I
a = −1.41559 − 3.63251I
b = 0.643151 + 0.079540I
−3.27989 − 1.65905I −10.10690 + 4.47702I
u = −0.409827 − 0.156202I
a = −1.41559 + 3.63251I
b = 0.643151 − 0.079540I
−3.27989 + 1.65905I −10.10690 − 4.47702I
u = −0.359131
a = −0.662925
b = 1.10438
−2.96256 −22.2880
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.75462 + 0.69728I
a = 0.127895 − 0.480651I
b = −0.954922 + 0.451774I
−5.93903 + 5.50757I 0
u = 1.75462 − 0.69728I
a = 0.127895 + 0.480651I
b = −0.954922 − 0.451774I
−5.93903 − 5.50757I 0
u = −1.84953 + 0.39250I
a = −0.639534 − 0.925630I
b = −0.799070 + 0.405271I
−5.34209 − 1.94609I 0
u = −1.84953 − 0.39250I
a = −0.639534 + 0.925630I
b = −0.799070 − 0.405271I
−5.34209 + 1.94609I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
44
− 24u
43
+ ··· − 20u + 1)
· (u
172
+ 79u
171
+ ··· + 1449530204u + 56445169)
c
2
(u
44
− 12u
42
+ ··· − 4u + 1)(u
172
− u
171
+ ··· − 23706u − 7513)
c
3
(u
44
− 20u
42
+ ··· + 6u + 1)(u
172
− u
171
+ ··· − 565196u + 6143)
c
4
(u
44
+ 3u
43
+ ··· + 12u − 1)(u
172
− 10u
171
+ ··· − 9148u + 271)
c
5
(u
44
− u
43
+ ··· + 2u + 1)(u
172
− 4u
171
+ ··· − 1.17625 × 10
7
u − 858173)
c
6
(u
44
− 12u
42
+ ··· + 4u + 1)(u
172
− u
171
+ ··· − 23706u − 7513)
c
7
(u
44
− 4u
43
+ ··· − 16u
2
+ 1)(u
172
+ 7u
171
+ ··· + 30336u + 1009)
c
8
(u
44
+ 8u
43
+ ··· − 27u − 11)
· (u
172
− 5u
171
+ ··· − 21167440263u + 1101672697)
c
9
(u
44
− 20u
42
+ ··· − 6u + 1)(u
172
− u
171
+ ··· − 565196u + 6143)
c
10
(u
44
− 8u
42
+ ··· + 2u + 1)(u
172
+ u
171
+ ··· + 1522u − 41)
c
11
(u
44
+ 4u
43
+ ··· − 16u
2
+ 1)(u
172
+ 7u
171
+ ··· + 30336u + 1009)
c
12
(u
44
− 2u
42
+ ··· − 2u + 1)(u
172
+ 17u
171
+ ··· + 493972u + 667)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
44
− 4y
43
+ ··· + 16y + 1)
· (y
172
+ 33y
171
+ ··· − 49226118750771920y + 3186057103438561)
c
2
, c
6
(y
44
− 24y
43
+ ··· − 20y + 1)
· (y
172
− 79y
171
+ ··· − 1449530204y + 56445169)
c
3
, c
9
(y
44
− 40y
43
+ ··· − 22y + 1)
· (y
172
− 127y
171
+ ··· − 334380335706y + 37736449)
c
4
(y
44
− 3y
43
+ ··· − 42y + 1)(y
172
− 10y
171
+ ··· − 2951210y + 73441)
c
5
(y
44
+ y
43
+ ··· − 14y + 1)
· (y
172
+ 46y
171
+ ··· + 307627127926670y + 736460897929)
c
7
, c
11
(y
44
− 24y
43
+ ··· − 32y + 1)
· (y
172
− 99y
171
+ ··· − 261670344y + 1018081)
c
8
(y
44
− 4y
43
+ ··· − 1609y + 121)
· (y
172
− 43y
171
+ ··· − 9.57 × 10
19
y + 1.21 × 10
18
)
c
10
(y
44
− 16y
43
+ ··· + 12y + 1)(y
172
− 23y
171
+ ··· − 3429060y + 1681)
c
12
(y
44
− 4y
43
+ ··· + 8y + 1)
· (y
172
+ 29y
171
+ ··· − 234106980580y + 444889)
34
