12a
0250
(K12a
0250
)
A knot diagram
1
Linearized knot diagam
3 6 7 10 9 2 12 1 11 5 4 8
Solving Sequence
4,10
5 11
8,12
1 7 3 9 6 2
c
4
c
10
c
11
c
12
c
7
c
3
c
9
c
5
c
2
c
1
, c
6
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.19066 × 10
46
u
91
− 8.76887 × 10
45
u
90
+ ··· + 1.29375 × 10
46
b − 2.58000 × 10
46
,
− 1.24081 × 10
46
u
91
− 6.18183 × 10
45
u
90
+ ··· + 1.29375 × 10
46
a − 1.65575 × 10
46
, u
92
− u
91
+ ··· − 4u − 4i
I
u
2
= h−u
2
a − u
3
+ 2b + u, −2u
3
a − 2u
2
a + 2a
2
− 3u
2
+ 4a − 2u + 2, u
4
− 2u
2
+ 2i
I
v
1
= ha, b − v −1, v
2
+ v + 1i
* 3 irreducible components of dim
C
= 0, with total 102 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
= h−1.19×10
46
u
91
−8.77×10
45
u
90
+· · ·+1.29×10
46
b−2.58×10
46
, −1.24×
10
46
u
91
−6.18×10
45
u
90
+· · ·+1.29×10
46
a−1.66×10
46
, u
92
−u
91
+· · ·−4u−4i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
u
2
a
11
=
−u
−u
3
+ u
a
8
=
0.959085u
91
+ 0.477824u
90
+ ··· + 1.76621u + 1.27981
0.920318u
91
+ 0.677789u
90
+ ··· − 0.789492u + 1.99421
a
12
=
−u
3
−u
3
+ u
a
1
=
−0.959085u
91
− 0.477824u
90
+ ··· − 1.76621u − 1.27981
−0.520135u
91
+ 0.568999u
90
+ ··· − 10.3735u − 3.75342
a
7
=
2.25174u
91
+ 0.140564u
90
+ ··· + 13.7323u + 6.98810
0.648520u
91
+ 0.477914u
90
+ ··· + 0.939846u + 2.00720
a
3
=
−2.40424u
91
+ 0.353032u
90
+ ··· − 17.0716u − 7.38408
−2.56979u
91
+ 0.701142u
90
+ ··· − 26.3860u − 11.8827
a
9
=
u
3
u
5
− u
3
+ u
a
6
=
u
6
− u
4
+ 1
u
8
− 2u
6
+ 2u
4
a
2
=
−1.85644u
91
+ 0.247883u
90
+ ··· − 14.9023u − 6.27237
−2.07702u
91
+ 0.589387u
90
+ ··· − 21.4547u − 9.72321
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.70406u
91
− 2.77366u
90
+ ··· + 10.6535u − 2.61646
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
92
+ 48u
91
+ ··· + 34u + 25
c
2
, c
6
u
92
− 2u
91
+ ··· + 4u + 5
c
3
u
92
+ 2u
91
+ ··· + 27428u + 5585
c
4
, c
10
u
92
− u
91
+ ··· − 4u − 4
c
5
, c
11
u
92
− 3u
91
+ ··· − 1388u + 172
c
7
, c
8
, c
12
u
92
+ 3u
91
+ ··· + 21u − 1
c
9
u
92
+ 51u
91
+ ··· + 80u + 16
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
92
+ 96y
90
+ ··· − 56506y + 625
c
2
, c
6
y
92
+ 48y
91
+ ··· + 34y + 25
c
3
y
92
− 48y
91
+ ··· + 824383826y + 31192225
c
4
, c
10
y
92
− 51y
91
+ ··· − 80y + 16
c
5
, c
11
y
92
+ 81y
91
+ ··· − 825744y + 29584
c
7
, c
8
, c
12
y
92
− 93y
91
+ ··· − 87y + 1
c
9
y
92
− 15y
91
+ ··· − 2304y + 256
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.942636 + 0.301692I
a = −0.034341 + 1.051790I
b = 0.031392 + 0.321356I
−2.28498 + 0.91214I 0
u = −0.942636 − 0.301692I
a = −0.034341 − 1.051790I
b = 0.031392 − 0.321356I
−2.28498 − 0.91214I 0
u = −0.903005 + 0.501577I
a = 0.722015 + 0.877297I
b = 0.458076 − 0.358286I
−0.53792 + 7.10674I 0
u = −0.903005 − 0.501577I
a = 0.722015 − 0.877297I
b = 0.458076 + 0.358286I
−0.53792 − 7.10674I 0
u = 0.837803 + 0.472840I
a = −0.497130 + 0.698170I
b = −0.155602 − 0.323814I
1.37262 − 2.63327I 0. + 5.11461I
u = 0.837803 − 0.472840I
a = −0.497130 − 0.698170I
b = −0.155602 + 0.323814I
1.37262 + 2.63327I 0. − 5.11461I
u = 0.955909 + 0.048975I
a = 1.02145 − 1.23500I
b = 0.779401 − 0.435341I
−3.54160 + 2.78126I −13.23196 − 4.62060I
u = 0.955909 − 0.048975I
a = 1.02145 + 1.23500I
b = 0.779401 + 0.435341I
−3.54160 − 2.78126I −13.23196 + 4.62060I
u = −0.853660 + 0.397418I
a = −0.131741 + 0.356079I
b = 0.87298 + 1.52517I
−1.59572 + 4.08768I −5.53273 − 7.31327I
u = −0.853660 − 0.397418I
a = −0.131741 − 0.356079I
b = 0.87298 − 1.52517I
−1.59572 − 4.08768I −5.53273 + 7.31327I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877774 + 0.307988I
a = 2.21728 − 1.00653I
b = 1.227770 + 0.279310I
−2.51217 − 3.43951I −9.43957 + 5.17776I
u = 0.877774 − 0.307988I
a = 2.21728 + 1.00653I
b = 1.227770 − 0.279310I
−2.51217 + 3.43951I −9.43957 − 5.17776I
u = −0.937920 + 0.559859I
a = −0.018059 + 0.550609I
b = 0.48831 + 1.39257I
−3.44417 + 5.49826I 0
u = −0.937920 − 0.559859I
a = −0.018059 − 0.550609I
b = 0.48831 − 1.39257I
−3.44417 − 5.49826I 0
u = 0.587183 + 0.688920I
a = 1.56488 − 0.31076I
b = 0.475477 + 0.691803I
−5.14872 + 5.24876I −7.86515 − 3.38822I
u = 0.587183 − 0.688920I
a = 1.56488 + 0.31076I
b = 0.475477 − 0.691803I
−5.14872 − 5.24876I −7.86515 + 3.38822I
u = 0.084040 + 0.881503I
a = −0.056277 − 0.261855I
b = 0.31572 − 2.87158I
−12.77440 + 1.97175I −11.13703 − 0.26633I
u = 0.084040 − 0.881503I
a = −0.056277 + 0.261855I
b = 0.31572 + 2.87158I
−12.77440 − 1.97175I −11.13703 + 0.26633I
u = 0.836648 + 0.285877I
a = 0.193166 + 0.251530I
b = −1.32309 + 1.44117I
−2.34893 + 0.77466I −9.19232 + 1.59013I
u = 0.836648 − 0.285877I
a = 0.193166 − 0.251530I
b = −1.32309 − 1.44117I
−2.34893 − 0.77466I −9.19232 − 1.59013I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.144167 + 0.872290I
a = −0.096839 − 0.252857I
b = 0.52807 − 2.77217I
−10.7265 + 11.1776I −8.99440 − 6.07294I
u = 0.144167 − 0.872290I
a = −0.096839 + 0.252857I
b = 0.52807 + 2.77217I
−10.7265 − 11.1776I −8.99440 + 6.07294I
u = 0.934769 + 0.610717I
a = −0.043196 + 0.565670I
b = −0.42880 + 1.40073I
−6.15477 − 10.21910I 0
u = 0.934769 − 0.610717I
a = −0.043196 − 0.565670I
b = −0.42880 − 1.40073I
−6.15477 + 10.21910I 0
u = 1.12381
a = 0.574672
b = −0.915910
−7.48948 0
u = −0.121081 + 0.854339I
a = 0.080087 − 0.241930I
b = −0.50200 − 2.88943I
−7.83162 − 5.81161I −6.48534 + 2.71867I
u = −0.121081 − 0.854339I
a = 0.080087 + 0.241930I
b = −0.50200 + 2.88943I
−7.83162 + 5.81161I −6.48534 − 2.71867I
u = 0.474305 + 0.715401I
a = 1.39743 − 0.38937I
b = 0.404464 + 0.675167I
−5.68749 − 2.80145I −8.85512 + 3.35586I
u = 0.474305 − 0.715401I
a = 1.39743 + 0.38937I
b = 0.404464 − 0.675167I
−5.68749 + 2.80145I −8.85512 − 3.35586I
u = 0.686337 + 0.469889I
a = −0.317898 + 0.367638I
b = 0.302176 − 0.388458I
1.80805 − 1.33335I 2.08771 + 3.69721I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.686337 − 0.469889I
a = −0.317898 − 0.367638I
b = 0.302176 + 0.388458I
1.80805 + 1.33335I 2.08771 − 3.69721I
u = 1.016330 + 0.581410I
a = 0.016492 + 0.661819I
b = −0.435958 + 1.314630I
−7.26555 − 2.13480I 0
u = 1.016330 − 0.581410I
a = 0.016492 − 0.661819I
b = −0.435958 − 1.314630I
−7.26555 + 2.13480I 0
u = −1.174580 + 0.051384I
a = −0.635836 + 0.061316I
b = 0.774471 + 0.127091I
−11.09940 + 4.47822I 0
u = −1.174580 − 0.051384I
a = −0.635836 − 0.061316I
b = 0.774471 − 0.127091I
−11.09940 − 4.47822I 0
u = −0.093621 + 0.818640I
a = 0.535107 − 0.110567I
b = 0.072700 + 0.866770I
−4.22978 − 6.80883I −6.85908 + 5.97964I
u = −0.093621 − 0.818640I
a = 0.535107 + 0.110567I
b = 0.072700 − 0.866770I
−4.22978 + 6.80883I −6.85908 − 5.97964I
u = 1.121510 + 0.356314I
a = 0.552993 + 0.533455I
b = −0.561770 + 0.863618I
−5.95167 − 3.72823I 0
u = 1.121510 − 0.356314I
a = 0.552993 − 0.533455I
b = −0.561770 − 0.863618I
−5.95167 + 3.72823I 0
u = −0.535381 + 0.620095I
a = −1.57745 − 0.45367I
b = −0.468202 + 0.629503I
−2.31140 − 0.88119I −3.98222 + 0.04334I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.535381 − 0.620095I
a = −1.57745 + 0.45367I
b = −0.468202 − 0.629503I
−2.31140 + 0.88119I −3.98222 − 0.04334I
u = −1.106180 + 0.446684I
a = −0.56130 + 1.44378I
b = 0.421016 + 1.051350I
−2.47702 + 1.61232I 0
u = −1.106180 − 0.446684I
a = −0.56130 − 1.44378I
b = 0.421016 − 1.051350I
−2.47702 − 1.61232I 0
u = 0.000884 + 0.802602I
a = 0.610190 − 0.231392I
b = 0.119044 + 0.802329I
−5.02999 + 1.33254I −8.81080 − 0.69305I
u = 0.000884 − 0.802602I
a = 0.610190 + 0.231392I
b = 0.119044 − 0.802329I
−5.02999 − 1.33254I −8.81080 + 0.69305I
u = −0.697405 + 0.376798I
a = −1.99364 − 0.59606I
b = −0.757542 + 0.439503I
−1.143790 − 0.641119I −4.44437 − 1.77956I
u = −0.697405 − 0.376798I
a = −1.99364 + 0.59606I
b = −0.757542 − 0.439503I
−1.143790 + 0.641119I −4.44437 + 1.77956I
u = −0.026469 + 0.781291I
a = 0.016282 − 0.198573I
b = −0.17700 − 3.44445I
−4.21159 − 2.83349I −7.59193 + 3.05981I
u = −0.026469 − 0.781291I
a = 0.016282 + 0.198573I
b = −0.17700 + 3.44445I
−4.21159 + 2.83349I −7.59193 − 3.05981I
u = 1.129170 + 0.474242I
a = 0.90378 + 1.19367I
b = −0.288618 + 1.093280I
−2.20302 − 5.96983I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.129170 − 0.474242I
a = 0.90378 − 1.19367I
b = −0.288618 − 1.093280I
−2.20302 + 5.96983I 0
u = −1.118140 + 0.500604I
a = −0.175910 + 0.853549I
b = 0.393132 + 1.167740I
−4.96188 + 3.89569I 0
u = −1.118140 − 0.500604I
a = −0.175910 − 0.853549I
b = 0.393132 − 1.167740I
−4.96188 − 3.89569I 0
u = 0.076304 + 0.763807I
a = −0.482819 − 0.174908I
b = −0.047077 + 0.821799I
−1.39713 + 2.25393I −3.39466 − 3.05753I
u = 0.076304 − 0.763807I
a = −0.482819 + 0.174908I
b = −0.047077 − 0.821799I
−1.39713 − 2.25393I −3.39466 + 3.05753I
u = −0.577688 + 0.500402I
a = 0.269758 + 0.199958I
b = −0.639693 − 0.417515I
0.37537 − 2.96018I −0.79783 + 3.47479I
u = −0.577688 − 0.500402I
a = 0.269758 − 0.199958I
b = −0.639693 + 0.417515I
0.37537 + 2.96018I −0.79783 − 3.47479I
u = −0.753187
a = −0.921802
b = −0.552459
−1.09663 −8.98790
u = −1.194640 + 0.424886I
a = −0.148638 + 1.167710I
b = 0.234358 + 1.086290I
−5.05726 + 1.88467I 0
u = −1.194640 − 0.424886I
a = −0.148638 − 1.167710I
b = 0.234358 − 1.086290I
−5.05726 − 1.88467I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.206730 + 0.445260I
a = −2.37530 − 4.23609I
b = 0.70966 − 3.81148I
−7.80247 − 1.53082I 0
u = 1.206730 − 0.445260I
a = −2.37530 + 4.23609I
b = 0.70966 + 3.81148I
−7.80247 + 1.53082I 0
u = 1.193620 + 0.482516I
a = 1.010480 + 0.785039I
b = −0.183807 + 0.919380I
−4.64341 − 6.83523I 0
u = 1.193620 − 0.482516I
a = 1.010480 − 0.785039I
b = −0.183807 − 0.919380I
−4.64341 + 6.83523I 0
u = 1.223550 + 0.408480I
a = 0.098755 + 1.200860I
b = −0.185604 + 1.103270I
−8.17169 + 2.57216I 0
u = 1.223550 − 0.408480I
a = 0.098755 − 1.200860I
b = −0.185604 − 1.103270I
−8.17169 − 2.57216I 0
u = −1.204680 + 0.467068I
a = 2.94249 − 3.81079I
b = −0.23148 − 3.89240I
−7.64559 + 7.35103I 0
u = −1.204680 − 0.467068I
a = 2.94249 + 3.81079I
b = −0.23148 + 3.89240I
−7.64559 − 7.35103I 0
u = 1.214350 + 0.457576I
a = 0.094036 + 1.112170I
b = −0.243981 + 1.141770I
−8.59986 − 5.84101I 0
u = 1.214350 − 0.457576I
a = 0.094036 − 1.112170I
b = −0.243981 − 1.141770I
−8.59986 + 5.84101I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.215250 + 0.456118I
a = −0.946860 + 0.683775I
b = 0.220840 + 0.846535I
−8.61069 + 3.17089I 0
u = −1.215250 − 0.456118I
a = −0.946860 − 0.683775I
b = 0.220840 − 0.846535I
−8.61069 − 3.17089I 0
u = 1.246300 + 0.388154I
a = −0.96912 − 3.63722I
b = 1.05697 − 2.81355I
−12.02820 + 1.55381I 0
u = 1.246300 − 0.388154I
a = −0.96912 + 3.63722I
b = 1.05697 + 2.81355I
−12.02820 − 1.55381I 0
u = −1.209630 + 0.497978I
a = −1.071660 + 0.734333I
b = 0.136568 + 0.893986I
−7.53209 + 11.60560I 0
u = −1.209630 − 0.497978I
a = −1.071660 − 0.734333I
b = 0.136568 − 0.893986I
−7.53209 − 11.60560I 0
u = −1.258760 + 0.371135I
a = 0.77149 − 3.42520I
b = −1.03502 − 2.61074I
−15.0949 − 6.9430I 0
u = −1.258760 − 0.371135I
a = 0.77149 + 3.42520I
b = −1.03502 + 2.61074I
−15.0949 + 6.9430I 0
u = −1.217630 + 0.516294I
a = 2.98906 − 2.49293I
b = 0.42391 − 3.29835I
−11.1093 + 10.7943I 0
u = −1.217630 − 0.516294I
a = 2.98906 + 2.49293I
b = 0.42391 + 3.29835I
−11.1093 − 10.7943I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.262440 + 0.412557I
a = 1.31521 − 3.39209I
b = −0.77059 − 2.88335I
−16.9248 + 2.5336I 0
u = −1.262440 − 0.412557I
a = 1.31521 + 3.39209I
b = −0.77059 + 2.88335I
−16.9248 − 2.5336I 0
u = 1.219510 + 0.529963I
a = −2.92057 − 2.23651I
b = −0.51069 − 3.14721I
−13.9547 − 16.2752I 0
u = 1.219510 − 0.529963I
a = −2.92057 + 2.23651I
b = −0.51069 + 3.14721I
−13.9547 + 16.2752I 0
u = 1.237480 + 0.505131I
a = −2.60201 − 2.67153I
b = −0.16180 − 3.19900I
−16.2547 − 6.9705I 0
u = 1.237480 − 0.505131I
a = −2.60201 + 2.67153I
b = −0.16180 + 3.19900I
−16.2547 + 6.9705I 0
u = −0.198710 + 0.631711I
a = −0.912694 − 0.747465I
b = −0.211496 + 0.611071I
−2.41119 + 0.49336I −8.70749 − 0.15772I
u = −0.198710 − 0.631711I
a = −0.912694 + 0.747465I
b = −0.211496 − 0.611071I
−2.41119 − 0.49336I −8.70749 + 0.15772I
u = 0.184669 + 0.595255I
a = −0.226232 − 0.070769I
b = 0.180942 + 0.749656I
0.45804 + 1.75876I 0.33975 − 4.10206I
u = 0.184669 − 0.595255I
a = −0.226232 + 0.070769I
b = 0.180942 − 0.749656I
0.45804 − 1.75876I 0.33975 + 4.10206I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.325148 + 0.475571I
a = 0.146643 + 0.049782I
b = −0.573448 + 0.584522I
−0.19857 + 2.19095I −0.16509 − 3.68076I
u = −0.325148 − 0.475571I
a = 0.146643 − 0.049782I
b = −0.573448 − 0.584522I
−0.19857 − 2.19095I −0.16509 + 3.68076I
14
II.
I
u
2
= h−u
2
a−u
3
+2b+u, −2u
3
a−2u
2
a+2a
2
−3u
2
+4a−2u+2, u
4
−2u
2
+2i
(i) Arc colorings
a
4
=
1
0
a
10
=
0
u
a
5
=
1
u
2
a
11
=
−u
−u
3
+ u
a
8
=
a
1
2
u
2
a +
1
2
u
3
−
1
2
u
a
12
=
−u
3
−u
3
+ u
a
1
=
−u
3
+ a
1
2
u
2
a −
1
2
u
3
+
1
2
u
a
7
=
−u
3
+ a
1
2
u
2
a −
1
2
u
3
+
1
2
u
a
3
=
1
2
u
3
a −
1
2
u
3
+ ··· + a +
7
2
1
2
u
2
a −
1
2
u
3
+
1
2
u + 1
a
9
=
u
3
u
3
− u
a
6
=
−1
0
a
2
=
1
2
u
3
a −
1
2
u
2
a + ··· + a +
5
2
1
2
u
2
a −
1
2
u
3
+
1
2
u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −2u
2
a + 2u
3
+ 4u
2
− 2u − 16
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u
2
− u + 1)
4
c
3
, c
6
(u
2
+ u + 1)
4
c
4
, c
10
(u
4
− 2u
2
+ 2)
2
c
5
, c
11
(u
4
+ 2u
2
+ 2)
2
c
7
, c
8
(u + 1)
8
c
9
(u
2
− 2u + 2)
4
c
12
(u − 1)
8
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
4
c
4
, c
10
(y
2
− 2y + 2)
4
c
5
, c
11
(y
2
+ 2y + 2)
4
c
7
, c
8
, c
12
(y −1)
8
c
9
(y
2
+ 4)
4
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.098680 + 0.455090I
a = −1.044230 + 0.410862I
b = −0.955090 + 0.232659I
−4.11234 − 5.69375I −10.00000 + 7.46410I
u = 1.098680 + 0.455090I
a = 0.68782 + 2.14291I
b = −0.95509 + 1.96471I
−4.11234 − 1.63398I −10.00000 + 0.53590I
u = 1.098680 − 0.455090I
a = −1.044230 − 0.410862I
b = −0.955090 − 0.232659I
−4.11234 + 5.69375I −10.00000 − 7.46410I
u = 1.098680 − 0.455090I
a = 0.68782 − 2.14291I
b = −0.95509 − 1.96471I
−4.11234 + 1.63398I −10.00000 − 0.53590I
u = −1.098680 + 0.455090I
a = 0.044228 − 0.589138I
b = −0.044910 + 0.232659I
−4.11234 + 1.63398I −10.00000 − 0.53590I
u = −1.098680 + 0.455090I
a = −1.68782 + 1.14291I
b = −0.04491 + 1.96471I
−4.11234 + 5.69375I −10.00000 − 7.46410I
u = −1.098680 − 0.455090I
a = 0.044228 + 0.589138I
b = −0.044910 − 0.232659I
−4.11234 − 1.63398I −10.00000 + 0.53590I
u = −1.098680 − 0.455090I
a = −1.68782 − 1.14291I
b = −0.04491 − 1.96471I
−4.11234 − 5.69375I −10.00000 + 7.46410I
18
III. I
v
1
= ha, b − v − 1, v
2
+ v + 1i
(i) Arc colorings
a
4
=
1
0
a
10
=
v
0
a
5
=
1
0
a
11
=
v
0
a
8
=
0
v + 1
a
12
=
v
0
a
1
=
v
−v − 1
a
7
=
−v
v + 1
a
3
=
0
−v
a
9
=
v
0
a
6
=
1
0
a
2
=
v
−v
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4v − 4
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
4
, c
5
, c
9
c
10
, c
11
u
2
c
7
, c
8
(u − 1)
2
c
12
(u + 1)
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
y
2
+ y + 1
c
4
, c
5
, c
9
c
10
, c
11
y
2
c
7
, c
8
, c
12
(y − 1)
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −0.500000 + 0.866025I
a = 0
b = 0.500000 + 0.866025I
−1.64493 − 2.02988I −6.00000 + 3.46410I
v = −0.500000 − 0.866025I
a = 0
b = 0.500000 − 0.866025I
−1.64493 + 2.02988I −6.00000 − 3.46410I
22
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
5
)(u
92
+ 48u
91
+ ··· + 34u + 25)
c
2
((u
2
− u + 1)
4
)(u
2
+ u + 1)(u
92
− 2u
91
+ ··· + 4u + 5)
c
3
(u
2
− u + 1)(u
2
+ u + 1)
4
(u
92
+ 2u
91
+ ··· + 27428u + 5585)
c
4
, c
10
u
2
(u
4
− 2u
2
+ 2)
2
(u
92
− u
91
+ ··· − 4u − 4)
c
5
, c
11
u
2
(u
4
+ 2u
2
+ 2)
2
(u
92
− 3u
91
+ ··· − 1388u + 172)
c
6
(u
2
− u + 1)(u
2
+ u + 1)
4
(u
92
− 2u
91
+ ··· + 4u + 5)
c
7
, c
8
((u − 1)
2
)(u + 1)
8
(u
92
+ 3u
91
+ ··· + 21u − 1)
c
9
u
2
(u
2
− 2u + 2)
4
(u
92
+ 51u
91
+ ··· + 80u + 16)
c
12
((u − 1)
8
)(u + 1)
2
(u
92
+ 3u
91
+ ··· + 21u − 1)
23
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
5
)(y
92
+ 96y
90
+ ··· − 56506y + 625)
c
2
, c
6
((y
2
+ y + 1)
5
)(y
92
+ 48y
91
+ ··· + 34y + 25)
c
3
((y
2
+ y + 1)
5
)(y
92
− 48y
91
+ ··· + 8.24384 × 10
8
y + 3.11922 × 10
7
)
c
4
, c
10
y
2
(y
2
− 2y + 2)
4
(y
92
− 51y
91
+ ··· − 80y + 16)
c
5
, c
11
y
2
(y
2
+ 2y + 2)
4
(y
92
+ 81y
91
+ ··· − 825744y + 29584)
c
7
, c
8
, c
12
((y − 1)
10
)(y
92
− 93y
91
+ ··· − 87y + 1)
c
9
y
2
(y
2
+ 4)
4
(y
92
− 15y
91
+ ··· − 2304y + 256)
24
