12a
0432
(K12a
0432
)
A knot diagram
1
Linearized knot diagam
3 6 10 8 2 11 5 12 4 1 7 9
Solving Sequence
8,12
9
1,5
4 10 3 7 11 6 2
c
8
c
12
c
4
c
9
c
3
c
7
c
11
c
6
c
2
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h8.17956 × 10
513
u
126
+ 6.56820 × 10
513
u
125
+ ··· + 6.50124 × 10
510
b + 9.89260 × 10
513
,
− 2.16012 × 10
513
u
126
− 2.23997 × 10
513
u
125
+ ··· + 6.50124 × 10
510
a − 8.59599 × 10
512
,
u
127
− 39u
125
+ ··· + 26u − 1i
I
u
2
= h−1683522u
21
− 10851287u
20
+ ··· + 135991b + 8481275,
191582u
21
+ 1200977u
20
+ ··· + 407973a + 2348438, u
22
+ 7u
21
+ ··· − 11u − 3i
* 2 irreducible components of dim
C
= 0, with total 149 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
= h8.18 × 10
513
u
126
+ 6.57 × 10
513
u
125
+ · · · + 6.50 × 10
510
b + 9.89 ×
10
513
, −2.16 × 10
513
u
126
− 2.24 × 10
513
u
125
+ · · · + 6.50 × 10
510
a − 8.60 ×
10
512
, u
127
− 39u
125
+ · · · + 26u − 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
5
=
332.262u
126
+ 344.545u
125
+ ··· − 4418.94u + 132.221
−1258.15u
126
− 1010.30u
125
+ ··· + 37831.1u − 1521.65
a
4
=
−925.891u
126
− 665.754u
125
+ ··· + 33412.1u − 1389.43
−1258.15u
126
− 1010.30u
125
+ ··· + 37831.1u − 1521.65
a
10
=
124.346u
126
− 35.5978u
125
+ ··· − 11588.4u + 504.585
35.6942u
126
− 15.6952u
125
+ ··· − 3727.56u + 160.148
a
3
=
−102.852u
126
− 177.716u
125
+ ··· − 1620.58u + 63.8561
1184.64u
126
+ 900.526u
125
+ ··· − 39219.1u + 1594.14
a
7
=
−54.1645u
126
− 4.38579u
125
+ ··· + 3562.79u − 159.539
210.170u
126
+ 240.717u
125
+ ··· − 2261.06u + 76.1834
a
11
=
154.927u
126
+ 24.7007u
125
+ ··· − 10450.6u + 451.072
70.7956u
126
− 14.9643u
125
+ ··· − 6402.55u + 273.959
a
6
=
185.571u
126
+ 68.9838u
125
+ ··· − 11041.8u + 462.863
433.621u
126
+ 356.001u
125
+ ··· − 12831.4u + 516.286
a
2
=
−73.6548u
126
− 61.8141u
125
+ ··· + 3792.30u − 186.708
222.809u
126
+ 191.525u
125
+ ··· − 6309.64u + 253.297
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1954.67u
126
− 1603.54u
125
+ ··· + 57833.4u − 2355.39
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
127
+ 51u
126
+ ··· + 64748u + 961
c
2
, c
5
u
127
+ 3u
126
+ ··· − 322u + 31
c
3
, c
9
u
127
+ 5u
126
+ ··· + 33188u + 3019
c
4
, c
7
u
127
− 4u
126
+ ··· − 8u + 1
c
6
, c
11
u
127
− 2u
126
+ ··· + 2124u + 3559
c
8
, c
12
u
127
− 39u
125
+ ··· + 26u + 1
c
10
u
127
− 2u
126
+ ··· + 12444u + 1273
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
127
+ 61y
126
+ ··· + 252764728y −923521
c
2
, c
5
y
127
− 51y
126
+ ··· + 64748y −961
c
3
, c
9
y
127
+ 87y
126
+ ··· − 136207782y −9114361
c
4
, c
7
y
127
+ 80y
126
+ ··· + 104y −1
c
6
, c
11
y
127
− 74y
126
+ ··· + 113971980y −12666481
c
8
, c
12
y
127
− 78y
126
+ ··· + 108y −1
c
10
y
127
+ 10y
126
+ ··· − 40468346y −1620529
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.924683 + 0.369839I
a = 0.608340 − 1.273530I
b = 0.388767 + 0.488604I
−2.30026 − 2.96450I 0
u = 0.924683 − 0.369839I
a = 0.608340 + 1.273530I
b = 0.388767 − 0.488604I
−2.30026 + 2.96450I 0
u = 1.001120 + 0.147493I
a = −3.19117 + 0.15377I
b = −0.089038 − 0.925983I
−0.14172 − 2.38640I 0
u = 1.001120 − 0.147493I
a = −3.19117 − 0.15377I
b = −0.089038 + 0.925983I
−0.14172 + 2.38640I 0
u = 0.978649 + 0.131591I
a = 0.112195 − 1.062580I
b = 0.143483 + 0.046794I
−1.71435 + 2.00781I 0
u = 0.978649 − 0.131591I
a = 0.112195 + 1.062580I
b = 0.143483 − 0.046794I
−1.71435 − 2.00781I 0
u = 0.782053 + 0.653717I
a = −0.55451 + 1.69182I
b = −0.550760 − 0.827776I
−2.79611 − 0.76104I 0
u = 0.782053 − 0.653717I
a = −0.55451 − 1.69182I
b = −0.550760 + 0.827776I
−2.79611 + 0.76104I 0
u = −0.174076 + 1.005220I
a = 0.05242 − 1.45375I
b = 0.127324 + 1.393990I
8.45647 − 6.32148I 0
u = −0.174076 − 1.005220I
a = 0.05242 + 1.45375I
b = 0.127324 − 1.393990I
8.45647 + 6.32148I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.058630 + 0.164072I
a = 2.33472 + 0.80946I
b = 0.059832 + 0.858484I
−0.38624 + 1.70611I 0
u = 1.058630 − 0.164072I
a = 2.33472 − 0.80946I
b = 0.059832 − 0.858484I
−0.38624 − 1.70611I 0
u = −0.836922 + 0.378466I
a = 0.674692 + 0.298321I
b = 0.795291 + 0.260018I
−2.03359 + 1.57618I 0
u = −0.836922 − 0.378466I
a = 0.674692 − 0.298321I
b = 0.795291 − 0.260018I
−2.03359 − 1.57618I 0
u = 1.005480 + 0.400774I
a = −0.980953 + 0.573737I
b = −0.087151 − 0.903960I
−0.298985 − 0.775562I 0
u = 1.005480 − 0.400774I
a = −0.980953 − 0.573737I
b = −0.087151 + 0.903960I
−0.298985 + 0.775562I 0
u = −0.727229 + 0.555930I
a = −1.297510 − 0.284976I
b = −0.200909 − 0.061435I
2.78595 + 3.48689I 0
u = −0.727229 − 0.555930I
a = −1.297510 + 0.284976I
b = −0.200909 + 0.061435I
2.78595 − 3.48689I 0
u = −0.225415 + 1.071830I
a = −0.094820 + 1.372120I
b = −0.057743 − 1.348270I
9.41775 − 0.48167I 0
u = −0.225415 − 1.071830I
a = −0.094820 − 1.372120I
b = −0.057743 + 1.348270I
9.41775 + 0.48167I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.884516 + 0.055608I
a = −1.73570 + 3.59443I
b = −0.084782 − 1.096170I
0.31178 + 1.84948I 0
u = 0.884516 − 0.055608I
a = −1.73570 − 3.59443I
b = −0.084782 + 1.096170I
0.31178 − 1.84948I 0
u = 1.009010 + 0.472200I
a = −0.828558 + 0.588752I
b = 0.021031 − 0.929926I
−0.275081 − 0.781566I 0
u = 1.009010 − 0.472200I
a = −0.828558 − 0.588752I
b = 0.021031 + 0.929926I
−0.275081 + 0.781566I 0
u = −0.616167 + 0.577419I
a = 1.85521 + 0.68990I
b = −0.0724564 − 0.0703583I
0.69570 + 8.80811I 0
u = −0.616167 − 0.577419I
a = 1.85521 − 0.68990I
b = −0.0724564 + 0.0703583I
0.69570 − 8.80811I 0
u = −1.015590 + 0.560681I
a = 0.720345 + 0.732910I
b = 0.931075 − 0.511817I
0.42465 + 8.09284I 0
u = −1.015590 − 0.560681I
a = 0.720345 − 0.732910I
b = 0.931075 + 0.511817I
0.42465 − 8.09284I 0
u = 1.154410 + 0.236419I
a = 0.813409 + 0.475466I
b = 0.276136 + 0.626016I
−1.27774 − 2.53272I 0
u = 1.154410 − 0.236419I
a = 0.813409 − 0.475466I
b = 0.276136 − 0.626016I
−1.27774 + 2.53272I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.050520 + 0.536489I
a = 0.784616 + 0.920323I
b = 1.00707 − 1.29629I
2.37250 + 3.37648I 0
u = −1.050520 − 0.536489I
a = 0.784616 − 0.920323I
b = 1.00707 + 1.29629I
2.37250 − 3.37648I 0
u = −1.052630 + 0.553384I
a = −0.767236 − 0.924602I
b = −1.10195 + 1.21661I
2.29330 + 7.94168I 0
u = −1.052630 − 0.553384I
a = −0.767236 + 0.924602I
b = −1.10195 − 1.21661I
2.29330 − 7.94168I 0
u = −0.452818 + 0.667940I
a = 0.824452 + 0.566550I
b = −0.53812 − 1.42737I
4.04606 − 3.19347I 0
u = −0.452818 − 0.667940I
a = 0.824452 − 0.566550I
b = −0.53812 + 1.42737I
4.04606 + 3.19347I 0
u = −0.445440 + 0.666343I
a = 0.434019 + 0.485862I
b = −0.532311 − 1.119660I
3.15024 + 0.50709I 0
u = −0.445440 − 0.666343I
a = 0.434019 − 0.485862I
b = −0.532311 + 1.119660I
3.15024 − 0.50709I 0
u = −0.601574 + 0.523680I
a = −0.446446 + 0.178316I
b = −0.412904 − 0.638276I
3.19727 + 0.99504I 0
u = −0.601574 − 0.523680I
a = −0.446446 − 0.178316I
b = −0.412904 + 0.638276I
3.19727 − 0.99504I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.060950 + 0.566207I
a = −0.730209 − 0.864846I
b = −1.069190 + 0.900490I
1.35731 + 4.29706I 0
u = −1.060950 − 0.566207I
a = −0.730209 + 0.864846I
b = −1.069190 − 0.900490I
1.35731 − 4.29706I 0
u = −0.459921 + 0.648792I
a = −0.884835 − 0.659165I
b = 0.43189 + 1.47336I
4.10482 + 1.26411I 0
u = −0.459921 − 0.648792I
a = −0.884835 + 0.659165I
b = 0.43189 − 1.47336I
4.10482 − 1.26411I 0
u = 1.141480 + 0.404863I
a = 0.0260910 + 0.0015194I
b = −1.53189 + 0.29731I
−2.64906 − 11.55230I 0
u = 1.141480 − 0.404863I
a = 0.0260910 − 0.0015194I
b = −1.53189 − 0.29731I
−2.64906 + 11.55230I 0
u = 1.159150 + 0.383790I
a = 0.0210091 + 0.0368586I
b = 1.44124 − 0.15234I
−1.07882 − 5.87309I 0
u = 1.159150 − 0.383790I
a = 0.0210091 − 0.0368586I
b = 1.44124 + 0.15234I
−1.07882 + 5.87309I 0
u = 0.773781 + 0.006379I
a = 0.096914 + 0.879200I
b = 0.15875 − 2.30172I
6.59700 + 2.90052I 0
u = 0.773781 − 0.006379I
a = 0.096914 − 0.879200I
b = 0.15875 + 2.30172I
6.59700 − 2.90052I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.737225 + 0.083244I
a = 1.12451 − 1.75733I
b = 0.397770 + 1.232700I
1.43975 − 1.67693I 0
u = 0.737225 − 0.083244I
a = 1.12451 + 1.75733I
b = 0.397770 − 1.232700I
1.43975 + 1.67693I 0
u = −0.318561 + 0.665718I
a = −0.653109 − 1.207280I
b = 0.274464 + 1.243040I
2.85662 − 2.16898I 0
u = −0.318561 − 0.665718I
a = −0.653109 + 1.207280I
b = 0.274464 − 1.243040I
2.85662 + 2.16898I 0
u = −1.269100 + 0.104073I
a = 0.0726301 + 0.1055050I
b = 1.085320 + 0.179204I
−5.27482 + 1.33689I 0
u = −1.269100 − 0.104073I
a = 0.0726301 − 0.1055050I
b = 1.085320 − 0.179204I
−5.27482 − 1.33689I 0
u = 0.097674 + 1.269920I
a = 0.31176 + 1.64860I
b = −0.342279 − 0.755360I
−3.11716 − 0.32407I 0
u = 0.097674 − 1.269920I
a = 0.31176 − 1.64860I
b = −0.342279 + 0.755360I
−3.11716 + 0.32407I 0
u = −1.197100 + 0.437234I
a = 0.75198 + 1.29733I
b = 0.597393 − 1.278020I
−1.84583 + 7.27986I 0
u = −1.197100 − 0.437234I
a = 0.75198 − 1.29733I
b = 0.597393 + 1.278020I
−1.84583 − 7.27986I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.153150 + 0.546793I
a = 0.872106 + 0.906516I
b = 0.654320 − 1.178270I
0.40118 + 6.95050I 0
u = −1.153150 − 0.546793I
a = 0.872106 − 0.906516I
b = 0.654320 + 1.178270I
0.40118 − 6.95050I 0
u = −1.201810 + 0.438235I
a = −0.83517 − 1.39186I
b = −0.621108 + 1.254040I
−3.89066 + 12.51970I 0
u = −1.201810 − 0.438235I
a = −0.83517 + 1.39186I
b = −0.621108 − 1.254040I
−3.89066 − 12.51970I 0
u = −1.208050 + 0.443567I
a = −0.55693 − 1.44468I
b = −0.533112 + 1.221620I
−7.23269 + 4.76345I 0
u = −1.208050 − 0.443567I
a = −0.55693 + 1.44468I
b = −0.533112 − 1.221620I
−7.23269 − 4.76345I 0
u = 1.213250 + 0.434526I
a = 0.091496 − 0.161829I
b = −1.121500 + 0.415639I
−7.27454 − 4.33559I 0
u = 1.213250 − 0.434526I
a = 0.091496 + 0.161829I
b = −1.121500 − 0.415639I
−7.27454 + 4.33559I 0
u = 0.357259 + 0.613433I
a = 0.765566 − 0.836335I
b = −0.621129 + 0.405100I
−1.79502 − 3.79376I 0
u = 0.357259 − 0.613433I
a = 0.765566 + 0.836335I
b = −0.621129 − 0.405100I
−1.79502 + 3.79376I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.259380 + 0.331712I
a = 0.484701 − 0.313085I
b = 0.59164 + 1.41847I
4.00694 − 3.94852I 0
u = 1.259380 − 0.331712I
a = 0.484701 + 0.313085I
b = 0.59164 − 1.41847I
4.00694 + 3.94852I 0
u = −1.298960 + 0.172997I
a = −0.019714 − 0.173778I
b = −1.067280 − 0.302728I
−6.92031 + 6.49364I 0
u = −1.298960 − 0.172997I
a = −0.019714 + 0.173778I
b = −1.067280 + 0.302728I
−6.92031 − 6.49364I 0
u = 1.257550 + 0.386287I
a = −0.575391 + 0.378627I
b = −0.41722 − 1.42360I
3.66569 + 1.78366I 0
u = 1.257550 − 0.386287I
a = −0.575391 − 0.378627I
b = −0.41722 + 1.42360I
3.66569 − 1.78366I 0
u = 1.286290 + 0.278937I
a = 0.170919 + 0.423935I
b = 0.555351 + 0.051213I
−1.50923 − 2.71926I 0
u = 1.286290 − 0.278937I
a = 0.170919 − 0.423935I
b = 0.555351 − 0.051213I
−1.50923 + 2.71926I 0
u = 0.862934 + 1.015180I
a = 0.503053 − 0.819633I
b = −0.400943 + 0.862874I
−2.72267 + 3.06869I 0
u = 0.862934 − 1.015180I
a = 0.503053 + 0.819633I
b = −0.400943 − 0.862874I
−2.72267 − 3.06869I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.161472 + 0.641545I
a = 0.05726 + 2.39661I
b = −0.622146 − 0.967348I
−0.28299 − 8.51393I 0
u = 0.161472 − 0.641545I
a = 0.05726 − 2.39661I
b = −0.622146 + 0.967348I
−0.28299 + 8.51393I 0
u = −0.401688 + 0.484464I
a = −0.022561 + 0.265264I
b = 0.653497 + 0.672795I
1.96530 − 3.75159I 0
u = −0.401688 − 0.484464I
a = −0.022561 − 0.265264I
b = 0.653497 − 0.672795I
1.96530 + 3.75159I 0
u = −1.051880 + 0.882877I
a = −0.817930 − 0.857421I
b = −0.224316 + 0.740933I
3.01498 + 3.93528I 0
u = −1.051880 − 0.882877I
a = −0.817930 + 0.857421I
b = −0.224316 − 0.740933I
3.01498 − 3.93528I 0
u = −1.333810 + 0.344639I
a = 0.245238 + 1.128230I
b = 0.319262 − 1.376920I
0.24013 + 3.70238I 0
u = −1.333810 − 0.344639I
a = 0.245238 − 1.128230I
b = 0.319262 + 1.376920I
0.24013 − 3.70238I 0
u = 0.220063 + 1.360140I
a = 0.437105 − 1.167090I
b = −0.418588 + 1.225930I
4.49284 + 12.10370I 0
u = 0.220063 − 1.360140I
a = 0.437105 + 1.167090I
b = −0.418588 − 1.225930I
4.49284 − 12.10370I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.272320 + 0.582698I
a = 1.006390 + 0.763368I
b = 0.413656 − 1.251780I
5.06176 + 12.02310I 0
u = −1.272320 − 0.582698I
a = 1.006390 − 0.763368I
b = 0.413656 + 1.251780I
5.06176 − 12.02310I 0
u = −1.27288 + 0.61808I
a = −0.953283 − 0.738378I
b = −0.371548 + 1.192540I
6.14425 + 6.49037I 0
u = −1.27288 − 0.61808I
a = −0.953283 + 0.738378I
b = −0.371548 − 1.192540I
6.14425 − 6.49037I 0
u = −0.564726 + 0.147823I
a = 1.224540 + 0.150475I
b = 0.470129 − 1.091880I
2.21800 + 3.54719I 0
u = −0.564726 − 0.147823I
a = 1.224540 − 0.150475I
b = 0.470129 + 1.091880I
2.21800 − 3.54719I 0
u = 0.119494 + 0.539630I
a = −0.26031 − 2.64092I
b = 0.491015 + 0.967513I
1.64848 − 3.37767I −9.26258 + 3.81874I
u = 0.119494 − 0.539630I
a = −0.26031 + 2.64092I
b = 0.491015 − 0.967513I
1.64848 + 3.37767I −9.26258 − 3.81874I
u = 0.18857 + 1.48353I
a = −0.373456 + 1.149540I
b = 0.339116 − 1.193690I
6.48528 + 5.65093I 0
u = 0.18857 − 1.48353I
a = −0.373456 − 1.149540I
b = 0.339116 + 1.193690I
6.48528 − 5.65093I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.50529 + 0.03501I
a = 0.0706949 − 0.0047897I
b = −0.565038 − 0.097086I
−10.45100 − 0.00475I 0
u = −1.50529 − 0.03501I
a = 0.0706949 + 0.0047897I
b = −0.565038 + 0.097086I
−10.45100 + 0.00475I 0
u = −1.36114 + 0.65421I
a = −0.034874 − 1.319730I
b = −0.242019 + 1.149090I
−1.06726 − 3.05908I 0
u = −1.36114 − 0.65421I
a = −0.034874 + 1.319730I
b = −0.242019 − 1.149090I
−1.06726 + 3.05908I 0
u = −0.386808 + 0.299675I
a = −1.69449 − 0.66931I
b = −0.115282 + 1.113170I
2.87043 − 1.55752I −5.63745 + 2.96668I
u = −0.386808 − 0.299675I
a = −1.69449 + 0.66931I
b = −0.115282 − 1.113170I
2.87043 + 1.55752I −5.63745 − 2.96668I
u = 1.34890 + 0.70189I
a = −0.592966 + 1.150850I
b = −0.73755 − 1.38108I
0.9269 − 19.1649I 0
u = 1.34890 − 0.70189I
a = −0.592966 − 1.150850I
b = −0.73755 + 1.38108I
0.9269 + 19.1649I 0
u = 1.30303 + 0.79417I
a = −0.490291 + 1.241560I
b = −0.668032 − 1.222380I
−4.64596 − 10.67220I 0
u = 1.30303 − 0.79417I
a = −0.490291 − 1.241560I
b = −0.668032 + 1.222380I
−4.64596 + 10.67220I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.463744 + 0.010276I
a = 2.55852 − 1.24842I
b = 0.823004 + 0.846488I
1.75112 − 3.20540I −10.31126 + 2.63714I
u = 0.463744 − 0.010276I
a = 2.55852 + 1.24842I
b = 0.823004 − 0.846488I
1.75112 + 3.20540I −10.31126 − 2.63714I
u = 1.36751 + 0.71926I
a = 0.554202 − 1.135900I
b = 0.68582 + 1.37268I
2.77946 − 13.02150I 0
u = 1.36751 − 0.71926I
a = 0.554202 + 1.135900I
b = 0.68582 − 1.37268I
2.77946 + 13.02150I 0
u = 1.39852 + 0.75614I
a = 0.289773 − 0.591729I
b = −0.420374 + 0.764458I
−2.85311 + 3.24742I 0
u = 1.39852 − 0.75614I
a = 0.289773 + 0.591729I
b = −0.420374 − 0.764458I
−2.85311 − 3.24742I 0
u = 0.199161 + 0.349879I
a = −0.935812 + 0.869803I
b = 0.507738 − 0.055240I
−0.544908 + 0.211795I −12.17551 + 0.68143I
u = 0.199161 − 0.349879I
a = −0.935812 − 0.869803I
b = 0.507738 + 0.055240I
−0.544908 − 0.211795I −12.17551 − 0.68143I
u = 0.381857 + 0.099919I
a = −3.45284 − 0.09653I
b = −0.939323 + 0.623104I
0.04615 + 8.48721I −12.82008 − 5.96405I
u = 0.381857 − 0.099919I
a = −3.45284 + 0.09653I
b = −0.939323 − 0.623104I
0.04615 − 8.48721I −12.82008 + 5.96405I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.318022
a = −1.19666
b = 0.287314
−0.622941 −15.6690
u = 1.46815 + 1.10036I
a = 0.259727 − 1.198990I
b = 0.425109 + 1.179570I
1.82476 − 6.58740I 0
u = 1.46815 − 1.10036I
a = 0.259727 + 1.198990I
b = 0.425109 − 1.179570I
1.82476 + 6.58740I 0
u = 0.0805217 + 0.0598194I
a = −5.9887 + 16.5167I
b = −0.377241 − 0.492619I
−3.26822 − 1.10078I −22.7416 + 6.4971I
u = 0.0805217 − 0.0598194I
a = −5.9887 − 16.5167I
b = −0.377241 + 0.492619I
−3.26822 + 1.10078I −22.7416 − 6.4971I
u = −2.28802 + 0.42384I
a = 0.157528 + 0.522143I
b = −0.054931 − 0.848761I
−2.52941 − 4.08544I 0
u = −2.28802 − 0.42384I
a = 0.157528 − 0.522143I
b = −0.054931 + 0.848761I
−2.52941 + 4.08544I 0
17
II.
I
u
2
= h−1.68 × 10
6
u
21
− 1.09 × 10
7
u
20
+ · · · + 1.36 × 10
5
b + 8.48 × 10
6
, 1.92 ×
10
5
u
21
+1.20×10
6
u
20
+· · ·+4.08×10
5
a+2.35×10
6
, u
22
+7u
21
+· · ·−11u−3i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
9
=
1
u
2
a
1
=
−u
−u
3
+ u
a
5
=
−0.469595u
21
− 2.94377u
20
+ ··· − 17.4894u − 5.75636
12.3797u
21
+ 79.7942u
20
+ ··· − 122.099u − 62.3664
a
4
=
11.9101u
21
+ 76.8504u
20
+ ··· − 139.588u − 68.1228
12.3797u
21
+ 79.7942u
20
+ ··· − 122.099u − 62.3664
a
10
=
1.11237u
21
+ 8.35906u
20
+ ··· + 8.73789u − 0.0169619
−1.07400u
21
− 5.92699u
20
+ ··· + 9.56307u + 0.0677104
a
3
=
−6.63331u
21
− 44.4609u
20
+ ··· + 43.9037u + 23.9077
−10.1022u
21
− 64.3959u
20
+ ··· + 96.2399u + 48.6921
a
7
=
−0.644097u
21
− 4.58268u
20
+ ··· + 13.8100u + 7.64814
6.20657u
21
+ 37.3134u
20
+ ··· − 61.1479u − 18.6874
a
11
=
2.11237u
21
+ 14.3591u
20
+ ··· − 0.262108u − 3.01696
−1.07400u
21
− 5.92699u
20
+ ··· + 10.5631u + 0.0677104
a
6
=
0.0805642u
21
+ 1.57433u
20
+ ··· + 31.5750u + 9.36826
3.83648u
21
+ 22.0179u
20
+ ··· − 58.4728u − 20.1151
a
2
=
−2.89990u
21
− 18.7465u
20
+ ··· + 43.5670u + 15.9911
−4.42275u
21
− 28.6209u
20
+ ··· + 25.8646u + 11.0943
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1486951
135991
u
21
−
10206074
135991
u
20
+ ··· +
14368380
135991
u +
8259156
135991
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
22
− 10u
21
+ ··· − 11u + 1
c
2
u
22
+ 2u
21
+ ··· + 3u + 1
c
3
u
22
− 4u
21
+ ··· + 9u + 1
c
4
u
22
− 3u
21
+ ··· − 5u − 1
c
5
u
22
− 2u
21
+ ··· − 3u + 1
c
6
u
22
− u
21
+ ··· + u − 1
c
7
u
22
+ 3u
21
+ ··· + 5u − 1
c
8
u
22
+ 7u
21
+ ··· − 11u − 3
c
9
u
22
+ 4u
21
+ ··· − 9u + 1
c
10
u
22
− 9u
21
+ ··· + 15u − 1
c
11
u
22
+ u
21
+ ··· − u − 1
c
12
u
22
− 7u
21
+ ··· + 11u − 3
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
22
+ 14y
21
+ ··· − 3y + 1
c
2
, c
5
y
22
− 10y
21
+ ··· − 11y + 1
c
3
, c
9
y
22
+ 16y
21
+ ··· − 21y + 1
c
4
, c
7
y
22
+ 21y
21
+ ··· − 31y + 1
c
6
, c
11
y
22
− 13y
21
+ ··· − 15y + 1
c
8
, c
12
y
22
− 21y
21
+ ··· − 115y + 9
c
10
y
22
− y
21
+ ··· − 29y + 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.798228 + 0.496203I
a = 1.52068 + 1.20636I
b = 0.880231 − 0.646781I
−0.04947 + 9.77454I −14.1904 − 12.4970I
u = −0.798228 − 0.496203I
a = 1.52068 − 1.20636I
b = 0.880231 + 0.646781I
−0.04947 − 9.77454I −14.1904 + 12.4970I
u = 1.042980 + 0.225050I
a = −0.578857 + 0.908661I
b = −0.360687 − 1.212330I
1.11478 − 3.27462I −11.05385 + 2.00603I
u = 1.042980 − 0.225050I
a = −0.578857 − 0.908661I
b = −0.360687 + 1.212330I
1.11478 + 3.27462I −11.05385 − 2.00603I
u = 0.888187 + 0.217314I
a = 1.35164 − 2.10727I
b = 0.122875 + 1.080670I
0.35331 + 1.61940I −14.0508 + 2.8072I
u = 0.888187 − 0.217314I
a = 1.35164 + 2.10727I
b = 0.122875 − 1.080670I
0.35331 − 1.61940I −14.0508 − 2.8072I
u = −0.989218 + 0.513877I
a = −0.988124 − 0.856083I
b = −1.011480 + 0.923743I
1.87955 + 5.23041I −9.85081 − 7.87459I
u = −0.989218 − 0.513877I
a = −0.988124 + 0.856083I
b = −1.011480 − 0.923743I
1.87955 − 5.23041I −9.85081 + 7.87459I
u = 0.160846 + 0.831869I
a = −1.18257 + 2.12516I
b = 0.205177 − 0.619198I
−2.74331 + 0.99833I −7.66925 − 5.40834I
u = 0.160846 − 0.831869I
a = −1.18257 − 2.12516I
b = 0.205177 + 0.619198I
−2.74331 − 0.99833I −7.66925 + 5.40834I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.139400 + 0.203867I
a = 1.57525 + 0.38512I
b = 0.063898 + 0.911249I
−0.36683 − 2.35155I −14.0241 − 5.0966I
u = 1.139400 − 0.203867I
a = 1.57525 − 0.38512I
b = 0.063898 − 0.911249I
−0.36683 + 2.35155I −14.0241 + 5.0966I
u = −0.581694 + 0.584825I
a = 0.527101 + 0.613336I
b = −0.54623 − 1.30793I
3.11558 − 0.75050I −10.18883 + 0.22592I
u = −0.581694 − 0.584825I
a = 0.527101 − 0.613336I
b = −0.54623 + 1.30793I
3.11558 + 0.75050I −10.18883 − 0.22592I
u = 0.756954
a = −0.787897
b = −0.514795
−2.31185 −17.3930
u = −0.600485 + 0.049418I
a = 0.0761917 − 0.0163432I
b = −0.17252 − 2.19938I
6.97704 − 2.83290I 2.16640 + 1.07370I
u = −0.600485 − 0.049418I
a = 0.0761917 + 0.0163432I
b = −0.17252 + 2.19938I
6.97704 + 2.83290I 2.16640 − 1.07370I
u = −1.19394 + 0.77206I
a = −0.510316 − 1.079710I
b = −0.662717 + 1.138290I
2.37795 + 5.68180I −9.31656 − 4.65986I
u = −1.19394 − 0.77206I
a = −0.510316 + 1.079710I
b = −0.662717 − 1.138290I
2.37795 − 5.68180I −9.31656 + 4.65986I
u = −1.59408
a = −0.196128
b = 0.156521
−10.2779 13.9620
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −2.14928 + 0.57892I
a = −0.132312 − 0.710703I
b = 0.160592 + 0.678612I
−3.07388 − 4.19841I 0
u = −2.14928 − 0.57892I
a = −0.132312 + 0.710703I
b = 0.160592 − 0.678612I
−3.07388 + 4.19841I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
22
− 10u
21
+ ··· − 11u + 1)(u
127
+ 51u
126
+ ··· + 64748u + 961)
c
2
(u
22
+ 2u
21
+ ··· + 3u + 1)(u
127
+ 3u
126
+ ··· − 322u + 31)
c
3
(u
22
− 4u
21
+ ··· + 9u + 1)(u
127
+ 5u
126
+ ··· + 33188u + 3019)
c
4
(u
22
− 3u
21
+ ··· − 5u − 1)(u
127
− 4u
126
+ ··· − 8u + 1)
c
5
(u
22
− 2u
21
+ ··· − 3u + 1)(u
127
+ 3u
126
+ ··· − 322u + 31)
c
6
(u
22
− u
21
+ ··· + u − 1)(u
127
− 2u
126
+ ··· + 2124u + 3559)
c
7
(u
22
+ 3u
21
+ ··· + 5u − 1)(u
127
− 4u
126
+ ··· − 8u + 1)
c
8
(u
22
+ 7u
21
+ ··· − 11u − 3)(u
127
− 39u
125
+ ··· + 26u + 1)
c
9
(u
22
+ 4u
21
+ ··· − 9u + 1)(u
127
+ 5u
126
+ ··· + 33188u + 3019)
c
10
(u
22
− 9u
21
+ ··· + 15u − 1)(u
127
− 2u
126
+ ··· + 12444u + 1273)
c
11
(u
22
+ u
21
+ ··· − u − 1)(u
127
− 2u
126
+ ··· + 2124u + 3559)
c
12
(u
22
− 7u
21
+ ··· + 11u − 3)(u
127
− 39u
125
+ ··· + 26u + 1)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
22
+ 14y
21
+ ··· − 3y + 1)
· (y
127
+ 61y
126
+ ··· + 252764728y −923521)
c
2
, c
5
(y
22
− 10y
21
+ ··· − 11y + 1)(y
127
− 51y
126
+ ··· + 64748y −961)
c
3
, c
9
(y
22
+ 16y
21
+ ··· − 21y + 1)
· (y
127
+ 87y
126
+ ··· − 136207782y −9114361)
c
4
, c
7
(y
22
+ 21y
21
+ ··· − 31y + 1)(y
127
+ 80y
126
+ ··· + 104y −1)
c
6
, c
11
(y
22
− 13y
21
+ ··· − 15y + 1)
· (y
127
− 74y
126
+ ··· + 113971980y −12666481)
c
8
, c
12
(y
22
− 21y
21
+ ··· − 115y + 9)(y
127
− 78y
126
+ ··· + 108y −1)
c
10
(y
22
− y
21
+ ··· − 29y + 1)
· (y
127
+ 10y
126
+ ··· − 40468346y −1620529)
27
