12a
1230
(K12a
1230
)
A knot diagram
1
Linearized knot diagam
5 6 8 1 10 11 3 12 4 2 7 9
Solving Sequence
8,12 4,9
10 1 5 2 3 7 11 6
c
8
c
9
c
12
c
4
c
1
c
3
c
7
c
11
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.47607 × 10
645
u
123
− 7.69890 × 10
645
u
122
+ ··· + 2.13415 × 10
646
b − 7.51217 × 10
648
,
1.94953 × 10
649
u
123
+ 1.89460 × 10
649
u
122
+ ··· + 3.75397 × 10
649
a − 2.18741 × 10
652
,
3u
124
+ u
123
+ ··· − 11348u + 1759i
I
u
2
= h−8331351990u
16
− 18113236103u
15
+ ··· + 1741200047b − 861824796,
− 11475305931u
16
− 25118430940u
15
+ ··· + 1741200047a + 6459102451,
3u
17
+ 4u
16
+ ··· − 16u − 1i
* 2 irreducible components of dim
C
= 0, with total 141 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−1.48 × 10
645
u
123
− 7.70 × 10
645
u
122
+ · · · + 2.13 × 10
646
b − 7.51 ×
10
648
, 1.95 × 10
649
u
123
+ 1.89 × 10
649
u
122
+ · · · + 3.75 × 10
649
a − 2.19 ×
10
652
, 3u
124
+ u
123
+ · · · − 11348u + 1759i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
4
=
−0.519325u
123
− 0.504692u
122
+ ··· − 2320.34u + 582.693
0.0691645u
123
+ 0.360748u
122
+ ··· − 849.222u + 351.998
a
9
=
1
u
2
a
10
=
−0.407021u
123
− 0.999868u
122
+ ··· + 537.930u − 374.222
0.899250u
123
+ 1.15434u
122
+ ··· + 3157.35u − 628.014
a
1
=
−u
−u
3
+ u
a
5
=
−0.896202u
123
− 1.09657u
122
+ ··· − 3213.36u + 703.992
−0.0927943u
123
+ 0.173284u
122
+ ··· − 1498.89u + 504.077
a
2
=
−0.546877u
123
− 0.978883u
122
+ ··· − 664.844u − 121.293
0.178286u
123
− 0.0195075u
122
+ ··· + 1646.99u − 487.848
a
3
=
−0.588490u
123
− 0.865440u
122
+ ··· − 1471.12u + 230.695
0.0691645u
123
+ 0.360748u
122
+ ··· − 849.222u + 351.998
a
7
=
0.202534u
123
+ 0.558045u
122
+ ··· − 629.192u + 344.874
0.153383u
123
+ 0.399035u
122
+ ··· − 194.488u + 136.408
a
11
=
−1.48094u
123
− 1.79696u
122
+ ··· − 5580.55u + 1310.33
−0.195990u
123
+ 0.0340962u
122
+ ··· − 1997.47u + 649.189
a
6
=
−0.878962u
123
− 1.41971u
122
+ ··· − 1890.44u + 315.400
1.49342u
123
+ 1.99627u
122
+ ··· + 4994.05u − 1026.70
(ii) Obstruction class = −1
(iii) Cusp Shapes = −11.7889u
123
− 14.0298u
122
+ ··· − 44815.7u + 9573.22
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
124
+ 3u
123
+ ··· + 44u + 4
c
2
3(3u
124
− 7u
123
+ ··· − 30u − 1)
c
3
, c
7
u
124
+ 2u
123
+ ··· + 6u + 1
c
5
3(3u
124
+ 13u
123
+ ··· + 1185u + 161)
c
6
, c
11
u
124
− 45u
122
+ ··· − 513u − 31
c
8
, c
12
3(3u
124
− u
123
+ ··· + 11348u + 1759)
c
9
u
124
− u
123
+ ··· − 1188544u − 211971
c
10
u
124
+ 2u
123
+ ··· − 48068u − 4247
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
124
− 97y
123
+ ··· + 544y + 16
c
2
9(9y
124
− 235y
123
+ ··· − 228y + 1)
c
3
, c
7
y
124
− 66y
123
+ ··· − 200y + 1
c
5
9(9y
124
− 235y
123
+ ··· + 463375y + 25921)
c
6
, c
11
y
124
− 90y
123
+ ··· − 403847y + 961
c
8
, c
12
9(9y
124
− 1087y
123
+ ··· − 2.08080 × 10
8
y + 3094081)
c
9
y
124
+ 29y
123
+ ··· + 896206404524y + 44931704841
c
10
y
124
− 44y
123
+ ··· − 1625831284y + 18037009
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.788605 + 0.603204I
a = −0.773510 + 0.152551I
b = −1.155560 − 0.574558I
−2.43728 + 1.83748I 0
u = 0.788605 − 0.603204I
a = −0.773510 − 0.152551I
b = −1.155560 + 0.574558I
−2.43728 − 1.83748I 0
u = 0.123262 + 1.005660I
a = 0.311877 + 0.261104I
b = −1.165100 + 0.482298I
1.31303 − 5.91813I 0
u = 0.123262 − 1.005660I
a = 0.311877 − 0.261104I
b = −1.165100 − 0.482298I
1.31303 + 5.91813I 0
u = −0.949710 + 0.238781I
a = 0.58259 + 1.35786I
b = 1.171990 + 0.531039I
1.34709 + 1.96348I 0
u = −0.949710 − 0.238781I
a = 0.58259 − 1.35786I
b = 1.171990 − 0.531039I
1.34709 − 1.96348I 0
u = −0.975980 + 0.302633I
a = −0.08994 + 1.56774I
b = 0.342586 + 0.781780I
−0.96971 + 3.60554I 0
u = −0.975980 − 0.302633I
a = −0.08994 − 1.56774I
b = 0.342586 − 0.781780I
−0.96971 − 3.60554I 0
u = 0.968093 + 0.072187I
a = −2.42423 − 2.56791I
b = −0.876990 − 0.089373I
−4.80410 − 0.11389I 0
u = 0.968093 − 0.072187I
a = −2.42423 + 2.56791I
b = −0.876990 + 0.089373I
−4.80410 + 0.11389I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.05831
a = 1.48125
b = −1.29432
−5.24214 0
u = 0.894123 + 0.279210I
a = −0.10822 + 2.16309I
b = −1.16089 + 1.18171I
−2.48013 − 5.46707I 0
u = 0.894123 − 0.279210I
a = −0.10822 − 2.16309I
b = −1.16089 − 1.18171I
−2.48013 + 5.46707I 0
u = −0.979983 + 0.431569I
a = 0.575071 − 1.253460I
b = 0.147458 − 0.031198I
−5.89109 + 9.09334I 0
u = −0.979983 − 0.431569I
a = 0.575071 + 1.253460I
b = 0.147458 + 0.031198I
−5.89109 − 9.09334I 0
u = 0.903842 + 0.580723I
a = −0.856001 − 0.351840I
b = −0.153008 − 0.040285I
−5.25838 − 0.22234I 0
u = 0.903842 − 0.580723I
a = −0.856001 + 0.351840I
b = −0.153008 + 0.040285I
−5.25838 + 0.22234I 0
u = 0.888925 + 0.236273I
a = −0.75252 − 1.70671I
b = 1.045960 − 0.225775I
0.344321 − 0.915316I 0
u = 0.888925 − 0.236273I
a = −0.75252 + 1.70671I
b = 1.045960 + 0.225775I
0.344321 + 0.915316I 0
u = 0.086900 + 1.088350I
a = −0.338466 − 0.485239I
b = 1.248980 − 0.176372I
2.07576 − 6.77659I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.086900 − 1.088350I
a = −0.338466 + 0.485239I
b = 1.248980 + 0.176372I
2.07576 + 6.77659I 0
u = −0.133340 + 0.893430I
a = 0.255453 + 0.028036I
b = −1.290390 + 0.097289I
6.38240 − 2.65405I 0
u = −0.133340 − 0.893430I
a = 0.255453 − 0.028036I
b = −1.290390 − 0.097289I
6.38240 + 2.65405I 0
u = 1.103370 + 0.111328I
a = −0.00971 + 2.27977I
b = 0.459954 + 0.548916I
−3.75488 − 0.79756I 0
u = 1.103370 − 0.111328I
a = −0.00971 − 2.27977I
b = 0.459954 − 0.548916I
−3.75488 + 0.79756I 0
u = 1.094220 + 0.218141I
a = 0.86694 − 1.59283I
b = 0.807249 − 0.142085I
−0.612185 − 0.724132I 0
u = 1.094220 − 0.218141I
a = 0.86694 + 1.59283I
b = 0.807249 + 0.142085I
−0.612185 + 0.724132I 0
u = 0.157240 + 1.110290I
a = −0.110324 − 0.166987I
b = 1.169760 + 0.436291I
1.84863 + 7.63093I 0
u = 0.157240 − 1.110290I
a = −0.110324 + 0.166987I
b = 1.169760 − 0.436291I
1.84863 − 7.63093I 0
u = 0.834550 + 0.268312I
a = 0.553460 + 0.612766I
b = −0.371624 + 0.067577I
−1.40266 − 0.46426I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.834550 − 0.268312I
a = 0.553460 − 0.612766I
b = −0.371624 − 0.067577I
−1.40266 + 0.46426I 0
u = 1.138310 + 0.017075I
a = 0.91942 − 1.70196I
b = 1.69305 − 1.17482I
−6.39003 + 3.25066I 0
u = 1.138310 − 0.017075I
a = 0.91942 + 1.70196I
b = 1.69305 + 1.17482I
−6.39003 − 3.25066I 0
u = 1.142860 + 0.128567I
a = 0.22185 + 1.75605I
b = 0.19599 + 1.80667I
−5.17825 − 5.30127I 0
u = 1.142860 − 0.128567I
a = 0.22185 − 1.75605I
b = 0.19599 − 1.80667I
−5.17825 + 5.30127I 0
u = −1.158250 + 0.020836I
a = −0.08583 + 1.87683I
b = 1.161920 + 0.643909I
−8.02058 + 8.45569I 0
u = −1.158250 − 0.020836I
a = −0.08583 − 1.87683I
b = 1.161920 − 0.643909I
−8.02058 − 8.45569I 0
u = 1.15977
a = −1.40356
b = 0.492111
−3.85647 0
u = 0.530974 + 0.632952I
a = 0.224564 + 0.305269I
b = −0.608186 − 0.414278I
−1.54550 − 0.57882I 0
u = 0.530974 − 0.632952I
a = 0.224564 − 0.305269I
b = −0.608186 + 0.414278I
−1.54550 + 0.57882I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.175520 + 0.046030I
a = 0.057140 − 1.114490I
b = −1.292650 − 0.499292I
−8.20014 + 1.57315I 0
u = −1.175520 − 0.046030I
a = 0.057140 + 1.114490I
b = −1.292650 + 0.499292I
−8.20014 − 1.57315I 0
u = 0.036239 + 0.811904I
a = −0.126186 + 0.584919I
b = −0.247828 + 0.521765I
−2.49622 − 4.31640I 0
u = 0.036239 − 0.811904I
a = −0.126186 − 0.584919I
b = −0.247828 − 0.521765I
−2.49622 + 4.31640I 0
u = −1.168590 + 0.220171I
a = −0.550977 + 1.260230I
b = −0.796498 + 0.896199I
−5.33472 + 3.61289I 0
u = −1.168590 − 0.220171I
a = −0.550977 − 1.260230I
b = −0.796498 − 0.896199I
−5.33472 − 3.61289I 0
u = 1.065910 + 0.535700I
a = 0.26281 + 1.46778I
b = −1.025860 + 0.788200I
−3.22218 − 4.36249I 0
u = 1.065910 − 0.535700I
a = 0.26281 − 1.46778I
b = −1.025860 − 0.788200I
−3.22218 + 4.36249I 0
u = −1.22576
a = −1.01823
b = −2.03524
−7.61392 0
u = −1.229930 + 0.175863I
a = −0.61442 + 1.59509I
b = −0.66953 + 1.49455I
−5.70033 + 3.64848I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.229930 − 0.175863I
a = −0.61442 − 1.59509I
b = −0.66953 − 1.49455I
−5.70033 − 3.64848I 0
u = −1.198130 + 0.360507I
a = 0.48307 + 1.57590I
b = 1.40506 + 0.91636I
−0.11264 + 5.91385I 0
u = −1.198130 − 0.360507I
a = 0.48307 − 1.57590I
b = 1.40506 − 0.91636I
−0.11264 − 5.91385I 0
u = −0.742890
a = 1.01419
b = 1.67101
3.02186 0
u = −0.586348 + 0.441635I
a = −0.34504 + 1.62898I
b = 0.214066 − 0.203261I
−1.17179 + 4.15296I 0
u = −0.586348 − 0.441635I
a = −0.34504 − 1.62898I
b = 0.214066 + 0.203261I
−1.17179 − 4.15296I 0
u = −0.119121 + 0.708028I
a = −0.095345 + 0.505809I
b = 1.239320 − 0.380272I
3.18902 − 1.94291I 0
u = −0.119121 − 0.708028I
a = −0.095345 − 0.505809I
b = 1.239320 + 0.380272I
3.18902 + 1.94291I 0
u = −1.214530 + 0.410822I
a = 0.126987 − 1.371560I
b = −1.247480 − 0.603820I
−4.20839 + 8.51329I 0
u = −1.214530 − 0.410822I
a = 0.126987 + 1.371560I
b = −1.247480 + 0.603820I
−4.20839 − 8.51329I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.714154 + 1.074430I
a = 0.715561 + 0.192223I
b = −0.947446 + 0.161518I
−1.86971 − 2.12951I 0
u = 0.714154 − 1.074430I
a = 0.715561 − 0.192223I
b = −0.947446 − 0.161518I
−1.86971 + 2.12951I 0
u = 1.246760 + 0.376459I
a = −0.24354 + 1.80084I
b = −0.846234 + 0.323241I
−4.43600 − 2.51207I 0
u = 1.246760 − 0.376459I
a = −0.24354 − 1.80084I
b = −0.846234 − 0.323241I
−4.43600 + 2.51207I 0
u = −1.213930 + 0.481250I
a = −0.40166 − 1.36719I
b = −1.209900 − 0.435379I
3.05232 + 7.60282I 0
u = −1.213930 − 0.481250I
a = −0.40166 + 1.36719I
b = −1.209900 + 0.435379I
3.05232 − 7.60282I 0
u = −0.201782 + 0.659839I
a = −0.117132 + 0.905608I
b = 1.275610 + 0.109948I
3.29232 + 1.21871I 0
u = −0.201782 − 0.659839I
a = −0.117132 − 0.905608I
b = 1.275610 − 0.109948I
3.29232 − 1.21871I 0
u = 1.287490 + 0.327049I
a = −0.768832 + 1.012340I
b = −1.233210 + 0.380204I
1.75057 − 1.55337I 0
u = 1.287490 − 0.327049I
a = −0.768832 − 1.012340I
b = −1.233210 − 0.380204I
1.75057 + 1.55337I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.346130 + 0.093012I
a = −0.424411 + 1.038860I
b = −0.284819 + 0.998234I
−7.24521 + 2.71118I 0
u = −1.346130 − 0.093012I
a = −0.424411 − 1.038860I
b = −0.284819 − 0.998234I
−7.24521 − 2.71118I 0
u = 1.256950 + 0.549835I
a = 0.193727 − 1.393470I
b = 1.36822 − 0.77314I
−1.60499 − 13.40180I 0
u = 1.256950 − 0.549835I
a = 0.193727 + 1.393470I
b = 1.36822 + 0.77314I
−1.60499 + 13.40180I 0
u = −0.300969 + 1.340690I
a = 0.192114 − 0.208650I
b = −1.211350 − 0.431036I
−2.09713 + 12.66730I 0
u = −0.300969 − 1.340690I
a = 0.192114 + 0.208650I
b = −1.211350 + 0.431036I
−2.09713 − 12.66730I 0
u = −1.286800 + 0.525371I
a = 0.126633 − 1.213530I
b = −0.517404 − 0.556031I
−6.23413 + 9.08506I 0
u = −1.286800 − 0.525371I
a = 0.126633 + 1.213530I
b = −0.517404 + 0.556031I
−6.23413 − 9.08506I 0
u = −0.475834 + 0.374162I
a = 1.79148 − 0.41794I
b = 0.336927 + 0.600944I
−5.88107 + 8.91166I 0
u = −0.475834 − 0.374162I
a = 1.79148 + 0.41794I
b = 0.336927 − 0.600944I
−5.88107 − 8.91166I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.382080 + 0.284573I
a = −0.12556 − 1.44107I
b = −0.11274 − 1.42408I
−11.5203 − 11.9060I 0
u = 1.382080 − 0.284573I
a = −0.12556 + 1.44107I
b = −0.11274 + 1.42408I
−11.5203 + 11.9060I 0
u = 1.41099 + 0.32694I
a = 0.79167 − 1.36801I
b = 1.077230 − 0.477025I
−1.85313 − 4.94493I 0
u = 1.41099 − 0.32694I
a = 0.79167 + 1.36801I
b = 1.077230 + 0.477025I
−1.85313 + 4.94493I 0
u = 1.42016 + 0.30725I
a = 0.076634 + 1.023840I
b = 0.317383 + 1.056200I
−11.76120 − 3.73889I 0
u = 1.42016 − 0.30725I
a = 0.076634 − 1.023840I
b = 0.317383 − 1.056200I
−11.76120 + 3.73889I 0
u = −1.38533 + 0.45833I
a = −0.26988 − 1.54224I
b = −1.25913 − 0.77998I
−3.42270 + 11.12110I 0
u = −1.38533 − 0.45833I
a = −0.26988 + 1.54224I
b = −1.25913 + 0.77998I
−3.42270 − 11.12110I 0
u = −0.336986 + 0.414236I
a = 1.13438 − 1.71290I
b = −0.674367 + 0.429281I
−1.42144 − 4.58216I −3.65378 + 4.57244I
u = −0.336986 − 0.414236I
a = 1.13438 + 1.71290I
b = −0.674367 − 0.429281I
−1.42144 + 4.58216I −3.65378 − 4.57244I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.38917 + 0.49444I
a = 0.34978 + 1.43405I
b = 1.191080 + 0.416776I
−2.56414 + 12.34190I 0
u = −1.38917 − 0.49444I
a = 0.34978 − 1.43405I
b = 1.191080 − 0.416776I
−2.56414 − 12.34190I 0
u = −1.46872 + 0.13574I
a = 0.710171 + 1.157920I
b = 0.441897 + 0.950718I
−10.28200 − 2.62507I 0
u = −1.46872 − 0.13574I
a = 0.710171 − 1.157920I
b = 0.441897 − 0.950718I
−10.28200 + 2.62507I 0
u = −1.25214 + 0.79663I
a = −0.186292 + 0.406134I
b = 1.163230 + 0.325120I
−2.21685 + 0.93511I 0
u = −1.25214 − 0.79663I
a = −0.186292 − 0.406134I
b = 1.163230 − 0.325120I
−2.21685 − 0.93511I 0
u = −1.46287 + 0.28250I
a = 0.029871 − 1.060580I
b = 0.062869 − 1.043970I
−12.53470 + 3.74102I 0
u = −1.46287 − 0.28250I
a = 0.029871 + 1.060580I
b = 0.062869 + 1.043970I
−12.53470 − 3.74102I 0
u = 0.187016 + 0.472108I
a = 1.135900 − 0.469578I
b = −0.222276 − 0.738246I
−1.55739 − 1.34736I 0. + 3.86805I
u = 0.187016 − 0.472108I
a = 1.135900 + 0.469578I
b = −0.222276 + 0.738246I
−1.55739 + 1.34736I 0. − 3.86805I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.54306
a = −0.0359052
b = −0.532053
−2.55057 0
u = 0.120877 + 0.413849I
a = 1.57623 − 1.29730I
b = −0.414736 − 0.467210I
−1.76548 − 1.19017I −0.85824 − 1.89707I
u = 0.120877 − 0.413849I
a = 1.57623 + 1.29730I
b = −0.414736 + 0.467210I
−1.76548 + 1.19017I −0.85824 + 1.89707I
u = 1.57638
a = −0.0532773
b = −0.556987
−2.55055 0
u = 1.48784 + 0.55087I
a = −0.261986 + 1.309670I
b = −1.39096 + 0.70928I
−7.5728 − 19.1670I 0
u = 1.48784 − 0.55087I
a = −0.261986 − 1.309670I
b = −1.39096 − 0.70928I
−7.5728 + 19.1670I 0
u = −1.50316 + 0.61748I
a = 0.077035 + 1.089100I
b = 1.32119 + 0.56273I
−8.64758 + 9.46412I 0
u = −1.50316 − 0.61748I
a = 0.077035 − 1.089100I
b = 1.32119 − 0.56273I
−8.64758 − 9.46412I 0
u = −0.355419 + 0.080354I
a = −3.98036 + 0.84768I
b = −0.493569 − 0.369093I
−5.54920 + 1.34906I −14.6358 − 4.1384I
u = −0.355419 − 0.080354I
a = −3.98036 − 0.84768I
b = −0.493569 + 0.369093I
−5.54920 − 1.34906I −14.6358 + 4.1384I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.360112 + 0.005558I
a = 2.55211 − 0.30279I
b = 1.039370 − 0.838831I
−4.13686 + 3.45163I −5.49726 − 5.58524I
u = 0.360112 − 0.005558I
a = 2.55211 + 0.30279I
b = 1.039370 + 0.838831I
−4.13686 − 3.45163I −5.49726 + 5.58524I
u = 1.51317 + 0.64932I
a = 0.091146 − 1.056790I
b = 1.236540 − 0.634521I
−8.86473 − 9.77487I 0
u = 1.51317 − 0.64932I
a = 0.091146 + 1.056790I
b = 1.236540 + 0.634521I
−8.86473 + 9.77487I 0
u = −0.143869 + 0.315991I
a = 1.108900 − 0.097825I
b = 0.457080 − 0.375113I
0.965550 − 0.954442I 3.74033 + 2.94349I
u = −0.143869 − 0.315991I
a = 1.108900 + 0.097825I
b = 0.457080 + 0.375113I
0.965550 + 0.954442I 3.74033 − 2.94349I
u = 0.338874
a = −0.0207160
b = −1.73162
6.35658 −25.3790
u = −1.67175
a = −0.904053
b = −0.716034
−11.8882 0
u = 0.194983
a = 9.11360
b = −1.16949
−3.60281 −11.7920
u = −1.69395 + 1.37615I
a = 0.000819 + 0.271572I
b = 0.822825 − 0.133596I
−3.82790 − 0.48478I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.69395 − 1.37615I
a = 0.000819 − 0.271572I
b = 0.822825 + 0.133596I
−3.82790 + 0.48478I 0
u = 2.28690
a = 0.150783
b = 1.15604
−2.66586 0
u = −3.04940
a = −0.196205
b = −1.25659
−3.77751 0
u = 3.32114
a = 0.122732
b = 0.903057
−3.64594 0
17
II.
I
u
2
= h−8.33 × 10
9
u
16
− 1.81 × 10
10
u
15
+ · · · + 1.74× 10
9
b − 8.62 ×10
8
, −1.15 ×
10
10
u
16
−2.51×10
10
u
15
+· · ·+1.74×10
9
a+6.46×10
9
, 3u
17
+4u
16
+· · ·−16u−1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
4
=
6.59046u
16
+ 14.4259u
15
+ ··· + 56.1266u − 3.70957
4.78483u
16
+ 10.4027u
15
+ ··· + 37.8580u + 0.494960
a
9
=
1
u
2
a
10
=
−5.07002u
16
− 11.9796u
15
+ ··· − 31.2290u − 12.4771
−5.52445u
16
− 11.3550u
15
+ ··· − 35.6602u − 4.90847
a
1
=
−u
−u
3
+ u
a
5
=
2.41342u
16
+ 5.34252u
15
+ ··· + 23.6093u − 5.57677
6.24736u
16
+ 13.5305u
15
+ ··· + 50.2414u + 1.19082
a
2
=
4.18857u
16
+ 9.61086u
15
+ ··· + 30.0719u + 5.29306
−2.84605u
16
− 6.42074u
15
+ ··· − 29.4982u − 0.908507
a
3
=
1.80562u
16
+ 4.02320u
15
+ ··· + 18.2686u − 4.20453
4.78483u
16
+ 10.4027u
15
+ ··· + 37.8580u + 0.494960
a
7
=
−6.65471u
16
− 14.0790u
15
+ ··· − 52.0969u + 6.91624
2.59229u
16
+ 7.73731u
15
+ ··· + 29.3720u + 4.60009
a
11
=
−8.47661u
16
− 19.8031u
15
+ ··· − 59.2148u − 9.13343
−2.20607u
16
− 9.16522u
15
+ ··· − 41.5756u − 4.21824
a
6
=
14.3557u
16
+ 32.5810u
15
+ ··· + 100.315u + 12.5674
12.9964u
16
+ 28.1497u
15
+ ··· + 93.9439u + 7.38297
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
44135623059
1741200047
u
16
−
64701445676
1741200047
u
15
+ ··· −
242491906287
1741200047
u +
30678284767
1741200047
18
(iv) u-Polynomials at the component
19
Crossings u-Polynomials at each crossing
c
1
u
17
− 6u
15
+ ··· − 22u − 4
c
2
3(3u
17
+ 8u
16
+ ··· + 4u − 1)
c
3
u
17
+ u
16
+ ··· − 2u + 1
c
4
u
17
− 6u
15
+ ··· − 22u + 4
c
5
3(3u
17
− 4u
16
+ ··· + u + 1)
c
6
u
17
− u
16
+ ··· + u + 1
c
7
u
17
− u
16
+ ··· − 2u − 1
c
8
3(3u
17
+ 4u
16
+ ··· − 16u − 1)
c
9
u
17
+ u
15
+ ··· + 2u − 3
c
10
u
17
+ 3u
16
+ ··· + 2u + 1
c
11
u
17
+ u
16
+ ··· + u − 1
c
12
3(3u
17
− 4u
16
+ ··· − 16u + 1)
20
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
17
− 12y
16
+ ··· + 284y −16
c
2
9(9y
17
+ 26y
16
+ ··· + 74y −1)
c
3
, c
7
y
17
− 9y
16
+ ··· + 38y −1
c
5
9(9y
17
− 10y
16
+ ··· + 11y −1)
c
6
, c
11
y
17
− 17y
16
+ ··· + 21y −1
c
8
, c
12
9(9y
17
− 106y
16
+ ··· + 306y −1)
c
9
y
17
+ 2y
16
+ ··· − 74y −9
c
10
y
17
− 7y
16
+ ··· + 18y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.913531 + 0.295989I
a = 0.05718 − 2.22519I
b = −0.99919 − 1.13289I
−2.73995 + 5.58973I −14.7195 − 14.9292I
u = −0.913531 − 0.295989I
a = 0.05718 + 2.22519I
b = −0.99919 + 1.13289I
−2.73995 − 5.58973I −14.7195 + 14.9292I
u = 0.746198 + 0.579697I
a = −1.020710 − 0.703074I
b = 0.438436 + 0.114984I
−2.58933 − 1.24010I −9.21646 − 2.49910I
u = 0.746198 − 0.579697I
a = −1.020710 + 0.703074I
b = 0.438436 − 0.114984I
−2.58933 + 1.24010I −9.21646 + 2.49910I
u = 1.054940 + 0.314274I
a = −0.020580 − 1.222030I
b = 1.038410 − 0.263660I
0.034757 − 1.211170I −4.04369 + 1.08267I
u = 1.054940 − 0.314274I
a = −0.020580 + 1.222030I
b = 1.038410 + 0.263660I
0.034757 + 1.211170I −4.04369 − 1.08267I
u = 0.842327
a = −2.65102
b = −0.864123
−4.72379 −24.4970
u = −1.179030 + 0.129434I
a = 0.94657 − 1.63283I
b = 0.91663 − 1.58966I
−6.18205 + 4.62803I −10.22173 − 9.23794I
u = −1.179030 − 0.129434I
a = 0.94657 + 1.63283I
b = 0.91663 + 1.58966I
−6.18205 − 4.62803I −10.22173 + 9.23794I
u = 0.763614
a = 0.801355
b = 1.65928
2.89359 −30.9950
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.181555 + 1.240140I
a = 0.498622 − 0.394070I
b = −1.081840 + 0.185413I
−3.19961 − 0.80486I −5.40834 − 0.45526I
u = 0.181555 − 1.240140I
a = 0.498622 + 0.394070I
b = −1.081840 − 0.185413I
−3.19961 + 0.80486I −5.40834 + 0.45526I
u = −1.226920 + 0.580299I
a = −0.32346 + 1.45584I
b = 1.047740 + 0.581256I
−5.68701 + 11.27440I −6.54116 − 9.94911I
u = −1.226920 − 0.580299I
a = −0.32346 − 1.45584I
b = 1.047740 − 0.581256I
−5.68701 − 11.27440I −6.54116 + 9.94911I
u = 1.38320
a = 0.246004
b = −0.607791
−4.09024 −12.0430
u = −1.59091
a = −0.752505
b = −0.216513
−12.5077 −15.3590
u = −0.0579860
a = −6.91908
b = −1.69121
6.51659 24.9000
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 6u
15
+ ··· − 22u − 4)(u
124
+ 3u
123
+ ··· + 44u + 4)
c
2
9(3u
17
+ 8u
16
+ ··· + 4u − 1)(3u
124
− 7u
123
+ ··· − 30u − 1)
c
3
(u
17
+ u
16
+ ··· − 2u + 1)(u
124
+ 2u
123
+ ··· + 6u + 1)
c
4
(u
17
− 6u
15
+ ··· − 22u + 4)(u
124
+ 3u
123
+ ··· + 44u + 4)
c
5
9(3u
17
− 4u
16
+ ··· + u + 1)(3u
124
+ 13u
123
+ ··· + 1185u + 161)
c
6
(u
17
− u
16
+ ··· + u + 1)(u
124
− 45u
122
+ ··· − 513u − 31)
c
7
(u
17
− u
16
+ ··· − 2u − 1)(u
124
+ 2u
123
+ ··· + 6u + 1)
c
8
9(3u
17
+ 4u
16
+ ··· − 16u − 1)(3u
124
− u
123
+ ··· + 11348u + 1759)
c
9
(u
17
+ u
15
+ ··· + 2u − 3)(u
124
− u
123
+ ··· − 1188544u − 211971)
c
10
(u
17
+ 3u
16
+ ··· + 2u + 1)(u
124
+ 2u
123
+ ··· − 48068u − 4247)
c
11
(u
17
+ u
16
+ ··· + u − 1)(u
124
− 45u
122
+ ··· − 513u − 31)
c
12
9(3u
17
− 4u
16
+ ··· − 16u + 1)(3u
124
− u
123
+ ··· + 11348u + 1759)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
17
− 12y
16
+ ··· + 284y −16)(y
124
− 97y
123
+ ··· + 544y + 16)
c
2
81(9y
17
+ 26y
16
+ ··· + 74y −1)(9y
124
− 235y
123
+ ··· − 228y + 1)
c
3
, c
7
(y
17
− 9y
16
+ ··· + 38y −1)(y
124
− 66y
123
+ ··· − 200y + 1)
c
5
81(9y
17
− 10y
16
+ ··· + 11y −1)
· (9y
124
− 235y
123
+ ··· + 463375y + 25921)
c
6
, c
11
(y
17
− 17y
16
+ ··· + 21y −1)(y
124
− 90y
123
+ ··· − 403847y + 961)
c
8
, c
12
81(9y
17
− 106y
16
+ ··· + 306y −1)
· (9y
124
− 1087y
123
+ ··· − 208079860y + 3094081)
c
9
(y
17
+ 2y
16
+ ··· − 74y −9)
· (y
124
+ 29y
123
+ ··· + 896206404524y + 44931704841)
c
10
(y
17
− 7y
16
+ ··· + 18y −1)
· (y
124
− 44y
123
+ ··· − 1625831284y + 18037009)
26
