12a
0950
(K12a
0950
)
A knot diagram
1
Linearized knot diagam
4 6 10 8 11 3 5 1 12 2 7 9
Solving Sequence
1,8 5,9
4 2 7 12 10 3 6 11
c
8
c
4
c
1
c
7
c
12
c
9
c
3
c
6
c
11
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.22224 × 10
411
u
131
+ 1.29708 × 10
411
u
130
+ ··· + 4.45032 × 10
412
b + 8.97585 × 10
412
,
3.48045 × 10
415
u
131
− 1.50529 × 10
416
u
130
+ ··· + 2.38982 × 10
415
a + 3.14627 × 10
416
,
u
132
− 4u
131
+ ··· + 59u + 3i
I
u
2
= h305214u
33
− 1443972u
32
+ ··· + 1901663b + 378921,
762076u
33
− 6622618u
32
+ ··· + 1901663a + 2163731, u
34
− 9u
33
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 166 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
= h3.22 × 10
411
u
131
+ 1.30 × 10
411
u
130
+ · · · + 4.45 × 10
412
b + 8.98 ×
10
412
, 3.48 × 10
415
u
131
− 1.51 × 10
416
u
130
+ · · · + 2.39 × 10
415
a + 3.15 ×
10
416
, u
132
− 4u
131
+ · · · + 59u + 3i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
−1.45636u
131
+ 6.29873u
130
+ ··· − 186.709u − 13.1653
−0.0724047u
131
− 0.0291458u
130
+ ··· − 38.1921u − 2.01690
a
9
=
1
u
2
a
4
=
−1.52877u
131
+ 6.26959u
130
+ ··· − 224.901u − 15.1822
−0.0724047u
131
− 0.0291458u
130
+ ··· − 38.1921u − 2.01690
a
2
=
2.37691u
131
− 9.29606u
130
+ ··· + 880.320u + 56.1784
0.0809590u
131
− 0.820963u
130
+ ··· − 1.44871u + 0.631557
a
7
=
−0.915943u
131
+ 3.04478u
130
+ ··· − 224.443u − 14.1366
0.705423u
131
− 2.12174u
130
+ ··· + 5.02828u + 0.267268
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
−1.66495u
131
+ 7.41381u
130
+ ··· − 222.553u − 15.4836
−0.0541848u
131
− 0.286281u
130
+ ··· − 44.0633u − 2.32385
a
6
=
−1.19945u
131
+ 5.10715u
130
+ ··· − 725.676u − 44.0069
0.000210381u
131
− 0.330833u
130
+ ··· − 29.0630u − 3.13429
a
11
=
5.31674u
131
− 22.2442u
130
+ ··· + 939.143u + 46.8844
0.111780u
131
+ 0.127260u
130
+ ··· + 152.646u + 9.58358
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.631647u
131
+ 2.56905u
130
+ ··· − 968.511u − 71.1945
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
132
− 12u
131
+ ··· − 2438849515u + 240939553
c
2
, c
6
u
132
− 4u
131
+ ··· − 530u + 259
c
3
u
132
+ u
131
+ ··· + 69461u − 1783
c
4
, c
7
u
132
− 8u
131
+ ··· − 2101u + 581
c
5
u
132
+ u
131
+ ··· + 1631088u + 611587
c
8
, c
9
, c
12
u
132
+ 4u
131
+ ··· − 59u + 3
c
10
u
132
− 15u
130
+ ··· + 7439u + 1091
c
11
u
132
+ u
131
+ ··· + 7866797u + 1297931
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
132
+ 60y
131
+ ··· + 887267153635262571y + 58051868199839809
c
2
, c
6
y
132
− 82y
131
+ ··· − 3272868y + 67081
c
3
y
132
− 11y
131
+ ··· − 8154857603y + 3179089
c
4
, c
7
y
132
+ 118y
131
+ ··· + 81012553y + 337561
c
5
y
132
+ 39y
131
+ ··· + 21589787450618y + 374038658569
c
8
, c
9
, c
12
y
132
+ 136y
131
+ ··· + 245y + 9
c
10
y
132
− 30y
131
+ ··· − 203221589y + 1190281
c
11
y
132
+ 51y
131
+ ··· + 56520089925371y + 1684624880761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.767053 + 0.620115I
a = 0.736005 + 0.407715I
b = −0.190482 − 1.331180I
4.08639 − 3.30659I 0
u = −0.767053 − 0.620115I
a = 0.736005 − 0.407715I
b = −0.190482 + 1.331180I
4.08639 + 3.30659I 0
u = 0.114709 + 1.029170I
a = 0.536516 − 0.677578I
b = 0.475424 + 1.166190I
6.99783 − 6.24714I 0
u = 0.114709 − 1.029170I
a = 0.536516 + 0.677578I
b = 0.475424 − 1.166190I
6.99783 + 6.24714I 0
u = −0.807298 + 0.525025I
a = −0.894899 − 0.633983I
b = −0.40014 + 1.42345I
3.81199 + 8.60180I 0
u = −0.807298 − 0.525025I
a = −0.894899 + 0.633983I
b = −0.40014 − 1.42345I
3.81199 − 8.60180I 0
u = −0.893205 + 0.594651I
a = 0.775847 + 0.746866I
b = 0.39069 − 1.42500I
7.4643 + 14.2993I 0
u = −0.893205 − 0.594651I
a = 0.775847 − 0.746866I
b = 0.39069 + 1.42500I
7.4643 − 14.2993I 0
u = 0.923755 + 0.556913I
a = −0.418791 + 0.832376I
b = −0.120619 − 1.302090I
2.71743 − 2.20489I 0
u = 0.923755 − 0.556913I
a = −0.418791 − 0.832376I
b = −0.120619 + 1.302090I
2.71743 + 2.20489I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.499948 + 0.985294I
a = −0.200595 + 0.653013I
b = −0.302170 − 0.383862I
1.54660 − 4.25235I 0
u = 0.499948 − 0.985294I
a = −0.200595 − 0.653013I
b = −0.302170 + 0.383862I
1.54660 + 4.25235I 0
u = 0.979892 + 0.525077I
a = 0.623155 − 0.398725I
b = 0.084096 + 1.172410I
2.15340 − 2.11704I 0
u = 0.979892 − 0.525077I
a = 0.623155 + 0.398725I
b = 0.084096 − 1.172410I
2.15340 + 2.11704I 0
u = 0.819959 + 0.296432I
a = 0.818801 + 0.182317I
b = 0.027202 + 1.177160I
2.37328 − 1.93366I 0
u = 0.819959 − 0.296432I
a = 0.818801 − 0.182317I
b = 0.027202 − 1.177160I
2.37328 + 1.93366I 0
u = −0.813878 + 0.310335I
a = −0.458140 − 0.080231I
b = 0.161876 + 1.393950I
7.85556 + 0.90527I 0
u = −0.813878 − 0.310335I
a = −0.458140 + 0.080231I
b = 0.161876 − 1.393950I
7.85556 − 0.90527I 0
u = 0.316942 + 0.805933I
a = 0.272424 + 1.279480I
b = −0.195749 − 0.795398I
1.46726 − 1.82664I 0
u = 0.316942 − 0.805933I
a = 0.272424 − 1.279480I
b = −0.195749 + 0.795398I
1.46726 + 1.82664I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.616809 + 0.597964I
a = 1.21895 + 0.79785I
b = 0.38316 − 1.39154I
8.85004 + 3.62228I 0
u = −0.616809 − 0.597964I
a = 1.21895 − 0.79785I
b = 0.38316 + 1.39154I
8.85004 − 3.62228I 0
u = −0.942236 + 0.662943I
a = −0.588488 − 0.511150I
b = 0.207282 + 1.345090I
7.55939 − 8.22426I 0
u = −0.942236 − 0.662943I
a = −0.588488 + 0.511150I
b = 0.207282 − 1.345090I
7.55939 + 8.22426I 0
u = 0.031223 + 0.839282I
a = 0.750922 − 1.145570I
b = −0.265590 + 0.187892I
−0.216709 − 1.247950I 0
u = 0.031223 − 0.839282I
a = 0.750922 + 1.145570I
b = −0.265590 − 0.187892I
−0.216709 + 1.247950I 0
u = 0.504286 + 1.065090I
a = 0.070744 − 1.396820I
b = 0.052137 + 0.853579I
2.68256 − 3.49929I 0
u = 0.504286 − 1.065090I
a = 0.070744 + 1.396820I
b = 0.052137 − 0.853579I
2.68256 + 3.49929I 0
u = 0.696281 + 0.431174I
a = 0.339990 − 0.113857I
b = 0.413409 + 0.047062I
−0.60011 − 2.20926I 0
u = 0.696281 − 0.431174I
a = 0.339990 + 0.113857I
b = 0.413409 − 0.047062I
−0.60011 + 2.20926I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.919366 + 0.754060I
a = 0.638803 − 1.054440I
b = 0.098187 + 1.275980I
3.31816 − 4.14785I 0
u = 0.919366 − 0.754060I
a = 0.638803 + 1.054440I
b = 0.098187 − 1.275980I
3.31816 + 4.14785I 0
u = 0.289926 + 1.164690I
a = 0.725260 − 0.707252I
b = 0.367811 + 1.161470I
6.96025 − 6.23487I 0
u = 0.289926 − 1.164690I
a = 0.725260 + 0.707252I
b = 0.367811 − 1.161470I
6.96025 + 6.23487I 0
u = −0.431488 + 0.653862I
a = −0.50887 + 1.33602I
b = 0.444064 + 0.080062I
2.95782 − 5.69512I 0
u = −0.431488 − 0.653862I
a = −0.50887 − 1.33602I
b = 0.444064 − 0.080062I
2.95782 + 5.69512I 0
u = −0.083243 + 1.230380I
a = 0.479669 − 0.431619I
b = −0.455547 − 0.763476I
2.81507 − 0.60865I 0
u = −0.083243 − 1.230380I
a = 0.479669 + 0.431619I
b = −0.455547 + 0.763476I
2.81507 + 0.60865I 0
u = 0.381803 + 0.664483I
a = −2.06953 + 1.64664I
b = 0.032513 − 1.278260I
6.92478 − 4.41301I 0
u = 0.381803 − 0.664483I
a = −2.06953 − 1.64664I
b = 0.032513 + 1.278260I
6.92478 + 4.41301I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.553514 + 0.518230I
a = −0.489696 + 0.584603I
b = −0.250986 − 1.384720I
3.26652 − 2.51546I 0
u = 0.553514 − 0.518230I
a = −0.489696 − 0.584603I
b = −0.250986 + 1.384720I
3.26652 + 2.51546I 0
u = 0.986647 + 0.790916I
a = −0.476862 + 0.636183I
b = −0.175316 − 1.165180I
2.91018 − 4.54846I 0
u = 0.986647 − 0.790916I
a = −0.476862 − 0.636183I
b = −0.175316 + 1.165180I
2.91018 + 4.54846I 0
u = −0.606905 + 0.403437I
a = 0.546328 − 0.083019I
b = 0.988181 − 0.235108I
2.19288 + 9.43541I 0
u = −0.606905 − 0.403437I
a = 0.546328 + 0.083019I
b = 0.988181 + 0.235108I
2.19288 − 9.43541I 0
u = 0.563761 + 0.423889I
a = −0.229371 − 0.862700I
b = −0.612479 + 0.363883I
0.61224 − 1.56921I 0
u = 0.563761 − 0.423889I
a = −0.229371 + 0.862700I
b = −0.612479 − 0.363883I
0.61224 + 1.56921I 0
u = 0.704423
a = −0.123732
b = −0.517903
−1.19742 0
u = −0.192255 + 1.334470I
a = −0.773697 + 0.750231I
b = 0.307385 + 0.384534I
6.77695 + 6.18958I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.192255 − 1.334470I
a = −0.773697 − 0.750231I
b = 0.307385 − 0.384534I
6.77695 − 6.18958I 0
u = 0.016225 + 1.364930I
a = 0.414013 + 0.458130I
b = 0.680119 − 0.431337I
5.04727 − 2.24596I 0
u = 0.016225 − 1.364930I
a = 0.414013 − 0.458130I
b = 0.680119 + 0.431337I
5.04727 + 2.24596I 0
u = 0.089681 + 1.372730I
a = 0.341213 + 0.455127I
b = −0.918176 − 0.511825I
3.10244 − 2.09594I 0
u = 0.089681 − 1.372730I
a = 0.341213 − 0.455127I
b = −0.918176 + 0.511825I
3.10244 + 2.09594I 0
u = 0.592474 + 0.174546I
a = 0.543867 + 1.128330I
b = 0.402756 − 0.457035I
0.152820 − 0.389619I −4.00000 − 2.43878I
u = 0.592474 − 0.174546I
a = 0.543867 − 1.128330I
b = 0.402756 + 0.457035I
0.152820 + 0.389619I −4.00000 + 2.43878I
u = −0.105077 + 1.405480I
a = −0.55139 − 1.42451I
b = −0.766764 + 0.978278I
4.43357 + 3.99471I 0
u = −0.105077 − 1.405480I
a = −0.55139 + 1.42451I
b = −0.766764 − 0.978278I
4.43357 − 3.99471I 0
u = −0.102146 + 1.408590I
a = 0.80774 + 1.89483I
b = 0.24261 − 1.46987I
10.91370 + 0.95614I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.102146 − 1.408590I
a = 0.80774 − 1.89483I
b = 0.24261 + 1.46987I
10.91370 − 0.95614I 0
u = 0.232214 + 0.537737I
a = 0.58070 + 1.70480I
b = −0.142325 − 0.812802I
1.40465 − 1.74138I 0. + 4.28223I
u = 0.232214 − 0.537737I
a = 0.58070 − 1.70480I
b = −0.142325 + 0.812802I
1.40465 + 1.74138I 0. − 4.28223I
u = −0.491845 + 0.309179I
a = −0.832695 + 0.027029I
b = −1.024750 + 0.253442I
−1.46863 + 3.62459I −5.39704 − 10.50305I
u = −0.491845 − 0.309179I
a = −0.832695 − 0.027029I
b = −1.024750 − 0.253442I
−1.46863 − 3.62459I −5.39704 + 10.50305I
u = −0.201896 + 0.536883I
a = 0.505022 + 0.578194I
b = 0.951214 − 0.203933I
3.80422 − 1.02783I 3.93619 − 2.26152I
u = −0.201896 − 0.536883I
a = 0.505022 − 0.578194I
b = 0.951214 + 0.203933I
3.80422 + 1.02783I 3.93619 + 2.26152I
u = 0.570323
a = −0.0425588
b = −0.537302
−1.23428 −9.88860
u = −0.01841 + 1.43051I
a = −0.05454 − 2.65151I
b = −0.227464 + 1.251790I
4.71659 + 2.32241I 0
u = −0.01841 − 1.43051I
a = −0.05454 + 2.65151I
b = −0.227464 − 1.251790I
4.71659 − 2.32241I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.548096 + 0.138812I
a = 0.53031 + 1.46961I
b = 0.619681 + 0.342541I
2.19632 + 3.49075I −4.08845 − 5.43017I
u = −0.548096 − 0.138812I
a = 0.53031 − 1.46961I
b = 0.619681 − 0.342541I
2.19632 − 3.49075I −4.08845 + 5.43017I
u = 0.12767 + 1.43151I
a = 0.086377 + 0.171716I
b = 0.754964 − 0.167867I
5.27540 − 2.64634I 0
u = 0.12767 − 1.43151I
a = 0.086377 − 0.171716I
b = 0.754964 + 0.167867I
5.27540 + 2.64634I 0
u = −0.14128 + 1.44569I
a = 0.701685 − 0.837176I
b = −1.46294 + 0.48565I
4.24691 + 5.84943I 0
u = −0.14128 − 1.44569I
a = 0.701685 + 0.837176I
b = −1.46294 − 0.48565I
4.24691 − 5.84943I 0
u = −0.05262 + 1.45372I
a = −0.21839 + 3.13591I
b = 0.142886 − 1.256910I
9.74455 + 7.86908I 0
u = −0.05262 − 1.45372I
a = −0.21839 − 3.13591I
b = 0.142886 + 1.256910I
9.74455 − 7.86908I 0
u = 0.10173 + 1.45572I
a = −0.19231 + 2.40268I
b = −0.30741 − 2.00060I
9.37018 − 4.70111I 0
u = 0.10173 − 1.45572I
a = −0.19231 − 2.40268I
b = −0.30741 + 2.00060I
9.37018 + 4.70111I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.24463 + 1.45153I
a = −0.001700 − 0.405065I
b = 0.568880 + 0.311688I
5.42968 − 5.64561I 0
u = 0.24463 − 1.45153I
a = −0.001700 + 0.405065I
b = 0.568880 − 0.311688I
5.42968 + 5.64561I 0
u = −0.00920 + 1.47254I
a = −0.72969 − 2.01754I
b = −0.31042 + 1.44983I
12.36590 + 0.35979I 0
u = −0.00920 − 1.47254I
a = −0.72969 + 2.01754I
b = −0.31042 − 1.44983I
12.36590 − 0.35979I 0
u = −0.00853 + 1.47326I
a = −0.72056 − 2.06945I
b = 1.21018 + 1.92495I
11.34740 + 3.08197I 0
u = −0.00853 − 1.47326I
a = −0.72056 + 2.06945I
b = 1.21018 − 1.92495I
11.34740 − 3.08197I 0
u = 0.07012 + 1.48677I
a = 0.11412 + 2.02847I
b = 0.232659 − 1.212280I
7.89248 − 2.87390I 0
u = 0.07012 − 1.48677I
a = 0.11412 − 2.02847I
b = 0.232659 + 1.212280I
7.89248 + 2.87390I 0
u = −0.19062 + 1.48428I
a = −0.552082 + 0.669473I
b = 1.350400 − 0.403507I
8.3754 + 12.2876I 0
u = −0.19062 − 1.48428I
a = −0.552082 − 0.669473I
b = 1.350400 + 0.403507I
8.3754 − 12.2876I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.186009 + 0.467120I
a = 1.32783 − 0.67696I
b = 0.0050287 − 0.0876047I
−0.265403 − 1.341610I −3.65967 + 3.10597I
u = 0.186009 − 0.467120I
a = 1.32783 + 0.67696I
b = 0.0050287 + 0.0876047I
−0.265403 + 1.341610I −3.65967 − 3.10597I
u = −0.04164 + 1.49773I
a = −0.880711 + 0.319163I
b = 1.52049 − 0.10487I
10.43450 − 0.23468I 0
u = −0.04164 − 1.49773I
a = −0.880711 − 0.319163I
b = 1.52049 + 0.10487I
10.43450 + 0.23468I 0
u = 0.17934 + 1.50397I
a = 0.233739 − 0.241673I
b = −0.984405 + 0.137584I
7.00133 − 4.24104I 0
u = 0.17934 − 1.50397I
a = 0.233739 + 0.241673I
b = −0.984405 − 0.137584I
7.00133 + 4.24104I 0
u = −0.36063 + 1.50117I
a = −0.82927 − 1.50546I
b = −0.01242 + 1.50608I
13.6673 + 5.3531I 0
u = −0.36063 − 1.50117I
a = −0.82927 + 1.50546I
b = −0.01242 − 1.50608I
13.6673 − 5.3531I 0
u = 0.00092 + 1.54768I
a = −0.481396 + 0.260915I
b = −0.307873 + 0.116910I
10.55720 − 4.74072I 0
u = 0.00092 − 1.54768I
a = −0.481396 − 0.260915I
b = −0.307873 − 0.116910I
10.55720 + 4.74072I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.20784 + 1.53929I
a = 0.63155 + 1.96068I
b = 0.55293 − 1.51499I
15.8629 + 6.6761I 0
u = −0.20784 − 1.53929I
a = 0.63155 − 1.96068I
b = 0.55293 + 1.51499I
15.8629 − 6.6761I 0
u = −0.22595 + 1.54696I
a = 0.69960 + 1.66153I
b = 0.10956 − 1.43613I
11.28640 + 0.22955I 0
u = −0.22595 − 1.54696I
a = 0.69960 − 1.66153I
b = 0.10956 + 1.43613I
11.28640 − 0.22955I 0
u = −0.28183 + 1.53972I
a = −0.65744 − 1.92899I
b = −0.51979 + 1.57067I
10.5488 + 12.5900I 0
u = −0.28183 − 1.53972I
a = −0.65744 + 1.92899I
b = −0.51979 − 1.57067I
10.5488 − 12.5900I 0
u = 0.16231 + 1.56424I
a = −1.16265 + 2.01455I
b = −0.174237 − 1.294890I
14.3717 − 6.6418I 0
u = 0.16231 − 1.56424I
a = −1.16265 − 2.01455I
b = −0.174237 + 1.294890I
14.3717 + 6.6418I 0
u = 0.26368 + 1.55732I
a = −0.48539 + 1.95702I
b = −0.28998 − 1.51084I
9.66602 − 6.31548I 0
u = 0.26368 − 1.55732I
a = −0.48539 − 1.95702I
b = −0.28998 + 1.51084I
9.66602 + 6.31548I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.29843 + 1.56031I
a = 0.71529 − 1.55202I
b = 0.329209 + 1.303690I
8.99190 − 6.60501I 0
u = 0.29843 − 1.56031I
a = 0.71529 + 1.55202I
b = 0.329209 − 1.303690I
8.99190 + 6.60501I 0
u = −0.386963 + 0.118962I
a = −2.23237 + 0.92578I
b = −0.583890 + 0.829789I
−0.55650 + 2.32377I −0.01882 + 11.18698I
u = −0.386963 − 0.118962I
a = −2.23237 − 0.92578I
b = −0.583890 − 0.829789I
−0.55650 − 2.32377I −0.01882 − 11.18698I
u = −0.30623 + 1.57703I
a = 0.63624 + 1.90404I
b = 0.49782 − 1.55969I
14.5508 + 18.7054I 0
u = −0.30623 − 1.57703I
a = 0.63624 − 1.90404I
b = 0.49782 + 1.55969I
14.5508 − 18.7054I 0
u = 0.11250 + 1.61662I
a = 0.09295 − 1.86645I
b = 0.57510 + 1.58988I
15.6825 − 7.7666I 0
u = 0.11250 − 1.61662I
a = 0.09295 + 1.86645I
b = 0.57510 − 1.58988I
15.6825 + 7.7666I 0
u = 0.29395 + 1.61697I
a = 0.63330 − 1.98755I
b = 0.22752 + 1.43353I
11.08330 − 8.61975I 0
u = 0.29395 − 1.61697I
a = 0.63330 + 1.98755I
b = 0.22752 − 1.43353I
11.08330 + 8.61975I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31174 + 1.64885I
a = −0.42041 + 1.54957I
b = −0.434435 − 1.338950I
10.9348 − 9.3916I 0
u = 0.31174 − 1.64885I
a = −0.42041 − 1.54957I
b = −0.434435 + 1.338950I
10.9348 + 9.3916I 0
u = −0.24884 + 1.67932I
a = −0.57948 − 1.55722I
b = −0.054465 + 1.374040I
15.5378 − 3.6209I 0
u = −0.24884 − 1.67932I
a = −0.57948 + 1.55722I
b = −0.054465 − 1.374040I
15.5378 + 3.6209I 0
u = 0.017152 + 0.267137I
a = 1.42500 − 0.21002I
b = 0.71097 + 1.59075I
5.41899 + 3.02204I 26.4083 − 7.2543I
u = 0.017152 − 0.267137I
a = 1.42500 + 0.21002I
b = 0.71097 − 1.59075I
5.41899 − 3.02204I 26.4083 + 7.2543I
u = −0.187080 + 0.171343I
a = 3.90682 + 6.74708I
b = 0.315054 − 1.059950I
4.18324 + 7.06497I −4.9353 − 13.3627I
u = −0.187080 − 0.171343I
a = 3.90682 − 6.74708I
b = 0.315054 + 1.059950I
4.18324 − 7.06497I −4.9353 + 13.3627I
u = −0.105051 + 0.169865I
a = −5.95216 + 1.76071I
b = −0.032772 + 1.384890I
6.60606 + 0.07457I 6.17196 − 0.00036I
u = −0.105051 − 0.169865I
a = −5.95216 − 1.76071I
b = −0.032772 − 1.384890I
6.60606 − 0.07457I 6.17196 + 0.00036I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.144003 + 0.086048I
a = −6.06740 − 2.80089I
b = −0.382267 + 0.843689I
−0.46372 + 1.91901I −10.09563 − 2.04109I
u = −0.144003 − 0.086048I
a = −6.06740 + 2.80089I
b = −0.382267 − 0.843689I
−0.46372 − 1.91901I −10.09563 + 2.04109I
18
II. I
u
2
= h3.05 × 10
5
u
33
− 1.44 × 10
6
u
32
+ · · · + 1.90 × 10
6
b + 3.79 × 10
5
, 7.62 ×
10
5
u
33
−6.62×10
6
u
32
+· · · +1.90×10
6
a+2.16×10
6
, u
34
−9u
33
+· · · − 2u +1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
−0.400742u
33
+ 3.48254u
32
+ ··· − 5.11113u − 1.13781
−0.160498u
33
+ 0.759321u
32
+ ··· − 2.32854u − 0.199258
a
9
=
1
u
2
a
4
=
−0.561240u
33
+ 4.24186u
32
+ ··· − 7.43968u − 1.33707
−0.160498u
33
+ 0.759321u
32
+ ··· − 2.32854u − 0.199258
a
2
=
−3.32693u
33
+ 27.5062u
32
+ ··· + 0.777783u + 2.32051
−1.13312u
33
+ 9.76085u
32
+ ··· + 2.79768u + 1.07604
a
7
=
−0.942913u
33
+ 7.79035u
32
+ ··· − 9.69606u + 3.87372
−0.133122u
33
+ 0.760847u
32
+ ··· − 1.20232u + 1.07604
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
3
=
−0.738461u
33
+ 5.76783u
32
+ ··· − 4.35320u − 1.12093
−0.431446u
33
+ 2.88867u
32
+ ··· − 2.03326u − 0.360127
a
6
=
0.640376u
33
− 5.83407u
32
+ ··· − 8.40078u − 1.85927
−0.227060u
33
+ 1.13974u
32
+ ··· − 3.92970u − 0.161240
a
11
=
−0.242654u
33
+ 2.39147u
32
+ ··· + 4.32101u − 0.326219
0.403463u
33
− 3.33671u
32
+ ··· + 3.30267u + 0.0954428
(ii) Obstruction class = 1
(iii) Cusp Shapes =
22022342
1901663
u
33
−
178060136
1901663
u
32
+ ··· +
49198590
1901663
u −
41800341
1901663
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
+ u
33
+ ··· − 8u + 1
c
2
u
34
+ 3u
33
+ ··· + 25u + 13
c
3
u
34
+ 4u
32
+ ··· + 4u
2
+ 1
c
4
u
34
− u
33
+ ··· − 10u + 1
c
5
u
34
− u
32
+ ··· − u + 1
c
6
u
34
− 3u
33
+ ··· − 25u + 13
c
7
u
34
+ u
33
+ ··· + 10u + 1
c
8
, c
9
u
34
− 9u
33
+ ··· − 2u + 1
c
10
u
34
− u
33
+ ··· − 2u + 1
c
11
u
34
+ 11u
32
+ ··· − 3u
2
+ 1
c
12
u
34
+ 9u
33
+ ··· + 2u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
− y
33
+ ··· + 14y + 1
c
2
, c
6
y
34
− 19y
33
+ ··· − 1509y + 169
c
3
y
34
+ 8y
33
+ ··· + 8y + 1
c
4
, c
7
y
34
+ 33y
33
+ ··· + 12y + 1
c
5
y
34
− 2y
33
+ ··· + 17y + 1
c
8
, c
9
, c
12
y
34
+ 35y
33
+ ··· − 16y + 1
c
10
y
34
+ 9y
33
+ ··· + 14y + 1
c
11
y
34
+ 22y
33
+ ··· − 6y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.393248 + 0.932647I
a = 0.553041 − 0.615049I
b = −0.296477 + 0.958022I
0.912438 + 0.054357I −1.56322 + 0.I
u = 0.393248 − 0.932647I
a = 0.553041 + 0.615049I
b = −0.296477 − 0.958022I
0.912438 − 0.054357I −1.56322 + 0.I
u = 0.171458 + 0.857075I
a = −0.05249 + 1.77388I
b = −0.301294 − 0.839403I
0.52913 − 2.51358I −3.16580 + 5.50977I
u = 0.171458 − 0.857075I
a = −0.05249 − 1.77388I
b = −0.301294 + 0.839403I
0.52913 + 2.51358I −3.16580 − 5.50977I
u = 0.556009 + 0.993627I
a = −0.052494 + 0.843090I
b = 0.105695 − 0.632014I
1.68923 − 3.29309I 0
u = 0.556009 − 0.993627I
a = −0.052494 − 0.843090I
b = 0.105695 + 0.632014I
1.68923 + 3.29309I 0
u = 1.017460 + 0.593007I
a = −0.513378 + 0.702674I
b = −0.111503 − 1.287200I
3.23494 − 2.67669I 0
u = 1.017460 − 0.593007I
a = −0.513378 − 0.702674I
b = −0.111503 + 1.287200I
3.23494 + 2.67669I 0
u = 0.683355 + 0.314379I
a = −0.205906 − 0.792604I
b = −0.263759 + 0.336216I
−0.104901 − 1.145120I −9.26091 + 3.81564I
u = 0.683355 − 0.314379I
a = −0.205906 + 0.792604I
b = −0.263759 − 0.336216I
−0.104901 + 1.145120I −9.26091 − 3.81564I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.062587 + 1.255560I
a = 0.736961 + 0.815983I
b = −0.313363 + 0.601866I
2.54629 + 1.11779I 0
u = 0.062587 − 1.255560I
a = 0.736961 − 0.815983I
b = −0.313363 − 0.601866I
2.54629 − 1.11779I 0
u = −0.103803 + 1.269610I
a = 0.091479 − 0.492285I
b = 0.342666 − 0.881890I
7.38764 + 7.68614I 0
u = −0.103803 − 1.269610I
a = 0.091479 + 0.492285I
b = 0.342666 + 0.881890I
7.38764 − 7.68614I 0
u = 0.907728 + 0.894170I
a = 0.576668 − 0.910054I
b = 0.059342 + 1.244490I
4.07316 − 3.95850I 0
u = 0.907728 − 0.894170I
a = 0.576668 + 0.910054I
b = 0.059342 − 1.244490I
4.07316 + 3.95850I 0
u = −0.07380 + 1.42312I
a = −0.58644 − 2.48510I
b = 0.22289 + 1.82694I
9.95047 + 3.99555I 0
u = −0.07380 − 1.42312I
a = −0.58644 + 2.48510I
b = 0.22289 − 1.82694I
9.95047 − 3.99555I 0
u = 0.13044 + 1.42229I
a = −0.333411 + 0.974643I
b = −0.848563 − 0.716854I
4.67685 − 4.51248I 0
u = 0.13044 − 1.42229I
a = −0.333411 − 0.974643I
b = −0.848563 + 0.716854I
4.67685 + 4.51248I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23244 + 1.42868I
a = −0.257939 − 0.407697I
b = −0.384911 + 0.109771I
5.50834 − 4.38762I 0
u = 0.23244 − 1.42868I
a = −0.257939 + 0.407697I
b = −0.384911 − 0.109771I
5.50834 + 4.38762I 0
u = −0.156037 + 0.497343I
a = −1.05299 − 3.52201I
b = 0.300827 + 1.019980I
4.56466 − 6.63123I 4.39605 + 2.97328I
u = −0.156037 − 0.497343I
a = −1.05299 + 3.52201I
b = 0.300827 − 1.019980I
4.56466 + 6.63123I 4.39605 − 2.97328I
u = −0.02170 + 1.48801I
a = −0.340684 + 1.352720I
b = 0.96803 − 1.30932I
10.97280 − 2.36557I 0
u = −0.02170 − 1.48801I
a = −0.340684 − 1.352720I
b = 0.96803 + 1.30932I
10.97280 + 2.36557I 0
u = 0.406715 + 0.188851I
a = −2.21933 − 0.71871I
b = −0.535038 − 0.716735I
−0.60111 − 2.59202I −6.0922 + 17.4141I
u = 0.406715 − 0.188851I
a = −2.21933 + 0.71871I
b = −0.535038 + 0.716735I
−0.60111 + 2.59202I −6.0922 − 17.4141I
u = 0.15498 + 1.60609I
a = 0.54093 − 1.99408I
b = 0.324827 + 1.311190I
12.8882 − 7.3388I 0
u = 0.15498 − 1.60609I
a = 0.54093 + 1.99408I
b = 0.324827 − 1.311190I
12.8882 + 7.3388I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31663 + 1.59702I
a = −0.60657 + 1.75681I
b = −0.26680 − 1.42897I
10.45830 − 7.48895I 0
u = 0.31663 − 1.59702I
a = −0.60657 − 1.75681I
b = −0.26680 + 1.42897I
10.45830 + 7.48895I 0
u = −0.177706 + 0.100222I
a = −0.77745 − 2.17682I
b = 0.49742 − 1.50770I
5.20508 − 3.01673I −11.65326 + 5.65710I
u = −0.177706 − 0.100222I
a = −0.77745 + 2.17682I
b = 0.49742 + 1.50770I
5.20508 + 3.01673I −11.65326 − 5.65710I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
+ u
33
+ ··· − 8u + 1)
· (u
132
− 12u
131
+ ··· − 2438849515u + 240939553)
c
2
(u
34
+ 3u
33
+ ··· + 25u + 13)(u
132
− 4u
131
+ ··· − 530u + 259)
c
3
(u
34
+ 4u
32
+ ··· + 4u
2
+ 1)(u
132
+ u
131
+ ··· + 69461u − 1783)
c
4
(u
34
− u
33
+ ··· − 10u + 1)(u
132
− 8u
131
+ ··· − 2101u + 581)
c
5
(u
34
− u
32
+ ··· − u + 1)(u
132
+ u
131
+ ··· + 1631088u + 611587)
c
6
(u
34
− 3u
33
+ ··· − 25u + 13)(u
132
− 4u
131
+ ··· − 530u + 259)
c
7
(u
34
+ u
33
+ ··· + 10u + 1)(u
132
− 8u
131
+ ··· − 2101u + 581)
c
8
, c
9
(u
34
− 9u
33
+ ··· − 2u + 1)(u
132
+ 4u
131
+ ··· − 59u + 3)
c
10
(u
34
− u
33
+ ··· − 2u + 1)(u
132
− 15u
130
+ ··· + 7439u + 1091)
c
11
(u
34
+ 11u
32
+ ··· − 3u
2
+ 1)(u
132
+ u
131
+ ··· + 7866797u + 1297931)
c
12
(u
34
+ 9u
33
+ ··· + 2u + 1)(u
132
+ 4u
131
+ ··· − 59u + 3)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
− y
33
+ ··· + 14y + 1)
· (y
132
+ 60y
131
+ ··· + 887267153635262571y + 58051868199839809)
c
2
, c
6
(y
34
− 19y
33
+ ··· − 1509y + 169)
· (y
132
− 82y
131
+ ··· − 3272868y + 67081)
c
3
(y
34
+ 8y
33
+ ··· + 8y + 1)
· (y
132
− 11y
131
+ ··· − 8154857603y + 3179089)
c
4
, c
7
(y
34
+ 33y
33
+ ··· + 12y + 1)
· (y
132
+ 118y
131
+ ··· + 81012553y + 337561)
c
5
(y
34
− 2y
33
+ ··· + 17y + 1)
· (y
132
+ 39y
131
+ ··· + 21589787450618y + 374038658569)
c
8
, c
9
, c
12
(y
34
+ 35y
33
+ ··· − 16y + 1)(y
132
+ 136y
131
+ ··· + 245y + 9)
c
10
(y
34
+ 9y
33
+ ··· + 14y + 1)
· (y
132
− 30y
131
+ ··· − 203221589y + 1190281)
c
11
(y
34
+ 22y
33
+ ··· − 6y + 1)
· (y
132
+ 51y
131
+ ··· + 56520089925371y + 1684624880761)
27
