12a
1057
(K12a
1057
)
A knot diagram
1
Linearized knot diagam
4 7 9 11 10 3 12 2 6 1 8 5
Solving Sequence
3,6
7
2,10
5 9 4 1 11 8 12
c
6
c
2
c
5
c
9
c
3
c
1
c
10
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.95047 × 10
1094
u
167
− 5.59776 × 10
1093
u
166
+ ··· + 2.59133 × 10
1097
b − 9.58013 × 10
1097
,
− 5.16111 × 10
1098
u
167
+ 3.11285 × 10
1097
u
166
+ ··· + 5.14353 × 10
1101
a + 2.81343 × 10
1103
,
u
168
− u
167
+ ··· − 545381u + 39698i
I
u
2
= h7.30617 × 10
64
u
43
− 2.12038 × 10
65
u
42
+ ··· + 1.06566 × 10
66
b − 1.02238 × 10
66
,
2.38557 × 10
66
u
43
− 1.01455 × 10
67
u
42
+ ··· + 2.02475 × 10
67
a − 1.52864 × 10
68
, u
44
− 2u
43
+ ··· + 87u + 19i
* 2 irreducible components of dim
C
= 0, with total 212 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
= h1.95 × 10
1094
u
167
− 5.60 × 10
1093
u
166
+ · · · + 2.59 × 10
1097
b − 9.58 ×
10
1097
, −5.16 × 10
1098
u
167
+ 3.11 × 10
1097
u
166
+ · · · + 5.14 × 10
1101
a +
2.81 × 10
1103
, u
168
− u
167
+ · · · − 545381u + 39698i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
2
=
u
u
3
+ u
a
10
=
0.00100342u
167
− 0.0000605198u
166
+ ··· + 584.974u − 54.6984
−0.000752692u
167
+ 0.000216019u
166
+ ··· − 90.6208u + 3.69699
a
5
=
0.000971291u
167
− 0.0000747615u
166
+ ··· − 442.583u + 25.6220
−0.00114684u
167
+ 0.000993880u
166
+ ··· − 397.386u + 36.3783
a
9
=
0.000250724u
167
+ 0.000155499u
166
+ ··· + 494.354u − 51.0014
−0.000752692u
167
+ 0.000216019u
166
+ ··· − 90.6208u + 3.69699
a
4
=
−0.00531893u
167
+ 0.00730716u
166
+ ··· − 1189.66u + 68.5404
0.000743565u
167
− 0.00101886u
166
+ ··· − 33.7436u + 6.96915
a
1
=
−0.00215895u
167
+ 0.000694507u
166
+ ··· + 587.392u − 45.0724
0.000209614u
167
+ 0.00108263u
166
+ ··· − 407.374u + 26.4468
a
11
=
0.00289672u
167
− 0.000930766u
166
+ ··· + 517.763u − 44.6072
−0.000721998u
167
− 0.000584795u
166
+ ··· + 200.427u − 13.6036
a
8
=
0.00118509u
167
+ 0.000227451u
166
+ ··· + 202.289u − 26.0549
−0.000852012u
167
− 0.000278598u
166
+ ··· + 129.051u − 11.3055
a
12
=
−0.000339869u
167
− 0.000484650u
166
+ ··· − 386.806u + 28.9363
0.000423902u
167
− 0.0000378799u
166
+ ··· − 9.01557u + 4.98085
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.00776499u
167
− 0.0212134u
166
+ ··· + 8536.45u − 617.062
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
168
− 13u
167
+ ··· − 21712189323u + 1419536343
c
2
, c
6
u
168
− u
167
+ ··· − 545381u + 39698
c
3
u
168
− 2u
167
+ ··· − 7408948459u + 395731121
c
4
u
168
− 6u
167
+ ··· + 457u + 19
c
5
, c
9
u
168
+ 77u
166
+ ··· − 46998156u + 3044193
c
7
, c
11
u
168
+ 44u
166
+ ··· − 10323u + 2217
c
8
u
168
− 4u
167
+ ··· − 7477336u + 3141661
c
10
u
168
+ 12u
167
+ ··· + 63876u + 5329
c
12
u
168
− 9u
167
+ ··· + 2597039u + 180482
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
168
+ 41y
167
+ ··· + 9.35 × 10
19
y + 2.02 × 10
18
c
2
, c
6
y
168
+ 121y
167
+ ··· + 51727293639y + 1575931204
c
3
y
168
+ 200y
167
+ ··· + 1.07 × 10
18
y + 1.57 × 10
17
c
4
y
168
− 22y
167
+ ··· − 12313y + 361
c
5
, c
9
y
168
+ 154y
167
+ ··· − 30381005547372y + 9267111021249
c
7
, c
11
y
168
+ 88y
167
+ ··· + 213632547y + 4915089
c
8
y
168
+ 46y
167
+ ··· + 3241576894776324y + 9870033838921
c
10
y
168
− 28y
167
+ ··· − 789826932y + 28398241
c
12
y
168
− 67y
167
+ ··· − 2984683484193y + 32573752324
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.284091 + 0.940316I
a = 0.337258 + 0.002796I
b = 0.968174 − 0.100011I
−2.59253 − 4.98996I 0
u = 0.284091 − 0.940316I
a = 0.337258 − 0.002796I
b = 0.968174 + 0.100011I
−2.59253 + 4.98996I 0
u = −0.075135 + 1.021290I
a = −2.52222 + 0.42696I
b = −0.116441 + 0.433873I
4.07468 + 0.22739I 0
u = −0.075135 − 1.021290I
a = −2.52222 − 0.42696I
b = −0.116441 − 0.433873I
4.07468 − 0.22739I 0
u = 0.054287 + 1.029200I
a = 8.05437 − 3.33744I
b = −0.101327 + 1.023360I
4.84108 + 0.37208I 0
u = 0.054287 − 1.029200I
a = 8.05437 + 3.33744I
b = −0.101327 − 1.023360I
4.84108 − 0.37208I 0
u = 0.152995 + 0.954850I
a = −0.532906 + 0.070687I
b = 1.208750 + 0.414829I
2.42868 − 2.38369I 0
u = 0.152995 − 0.954850I
a = −0.532906 − 0.070687I
b = 1.208750 − 0.414829I
2.42868 + 2.38369I 0
u = 0.330430 + 0.888535I
a = −0.160363 + 0.542365I
b = 0.866964 − 0.576259I
−2.99366 + 1.12430I 0
u = 0.330430 − 0.888535I
a = −0.160363 − 0.542365I
b = 0.866964 + 0.576259I
−2.99366 − 1.12430I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.872420 + 0.347617I
a = −1.016720 + 0.628518I
b = −0.012132 − 1.184250I
1.56919 − 5.09213I 0
u = 0.872420 − 0.347617I
a = −1.016720 − 0.628518I
b = −0.012132 + 1.184250I
1.56919 + 5.09213I 0
u = 0.916579 + 0.155382I
a = 0.207841 + 0.760860I
b = −1.017910 + 0.165439I
−1.58389 + 9.27209I 0
u = 0.916579 − 0.155382I
a = 0.207841 − 0.760860I
b = −1.017910 − 0.165439I
−1.58389 − 9.27209I 0
u = −1.068940 + 0.074303I
a = 0.295966 + 0.461058I
b = 0.26471 − 1.41552I
6.14787 + 8.11153I 0
u = −1.068940 − 0.074303I
a = 0.295966 − 0.461058I
b = 0.26471 + 1.41552I
6.14787 − 8.11153I 0
u = −0.687326 + 0.620253I
a = −0.348519 − 0.778136I
b = −0.377798 + 0.175034I
−1.97033 + 4.36241I 0
u = −0.687326 − 0.620253I
a = −0.348519 + 0.778136I
b = −0.377798 − 0.175034I
−1.97033 − 4.36241I 0
u = −0.234753 + 1.079510I
a = −1.47923 + 0.07692I
b = 2.11071 + 0.12459I
2.55592 + 2.82580I 0
u = −0.234753 − 1.079510I
a = −1.47923 − 0.07692I
b = 2.11071 − 0.12459I
2.55592 − 2.82580I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.041621 + 1.122060I
a = 1.37919 − 3.51006I
b = 0.181163 + 1.243160I
5.42114 − 1.40537I 0
u = 0.041621 − 1.122060I
a = 1.37919 + 3.51006I
b = 0.181163 − 1.243160I
5.42114 + 1.40537I 0
u = −0.603325 + 0.615323I
a = 0.261334 + 0.297631I
b = 0.619144 − 0.184760I
−1.76726 + 0.42600I 0
u = −0.603325 − 0.615323I
a = 0.261334 − 0.297631I
b = 0.619144 + 0.184760I
−1.76726 − 0.42600I 0
u = −1.096960 + 0.307197I
a = 0.172374 + 0.007616I
b = −0.503733 − 0.553418I
−4.74008 + 1.00418I 0
u = −1.096960 − 0.307197I
a = 0.172374 − 0.007616I
b = −0.503733 + 0.553418I
−4.74008 − 1.00418I 0
u = 0.597290 + 0.617376I
a = −0.21314 + 1.83750I
b = −0.460376 − 0.816970I
−3.91577 − 4.73107I 0
u = 0.597290 − 0.617376I
a = −0.21314 − 1.83750I
b = −0.460376 + 0.816970I
−3.91577 + 4.73107I 0
u = −0.012233 + 1.146940I
a = 0.49221 − 2.24248I
b = −0.74527 + 1.38163I
3.70584 + 1.52818I 0
u = −0.012233 − 1.146940I
a = 0.49221 + 2.24248I
b = −0.74527 − 1.38163I
3.70584 − 1.52818I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.257184 + 1.119890I
a = −1.37631 + 1.42853I
b = −0.140027 − 1.371420I
9.31262 − 1.14023I 0
u = 0.257184 − 1.119890I
a = −1.37631 − 1.42853I
b = −0.140027 + 1.371420I
9.31262 + 1.14023I 0
u = 1.077880 + 0.414884I
a = 0.363476 − 0.810347I
b = 0.30692 + 1.52869I
4.92777 − 1.44448I 0
u = 1.077880 − 0.414884I
a = 0.363476 + 0.810347I
b = 0.30692 − 1.52869I
4.92777 + 1.44448I 0
u = 1.079680 + 0.423739I
a = 0.056329 − 0.685349I
b = −0.037536 + 1.133930I
0.64950 − 2.60034I 0
u = 1.079680 − 0.423739I
a = 0.056329 + 0.685349I
b = −0.037536 − 1.133930I
0.64950 + 2.60034I 0
u = 0.325289 + 1.116410I
a = 0.913354 + 0.326190I
b = −0.251026 + 0.405995I
3.59684 + 1.00091I 0
u = 0.325289 − 1.116410I
a = 0.913354 − 0.326190I
b = −0.251026 − 0.405995I
3.59684 − 1.00091I 0
u = −1.068720 + 0.459817I
a = 0.220794 + 0.142059I
b = −0.116356 − 1.193400I
−0.93471 − 3.70656I 0
u = −1.068720 − 0.459817I
a = 0.220794 − 0.142059I
b = −0.116356 + 1.193400I
−0.93471 + 3.70656I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.033393 + 0.832881I
a = 0.54437 − 3.66890I
b = −0.11135 + 3.31405I
2.98518 − 1.88452I 0
u = −0.033393 − 0.832881I
a = 0.54437 + 3.66890I
b = −0.11135 − 3.31405I
2.98518 + 1.88452I 0
u = 0.126950 + 1.163600I
a = 0.981919 + 0.242067I
b = −1.43108 − 0.48845I
3.50059 + 1.53756I 0
u = 0.126950 − 1.163600I
a = 0.981919 − 0.242067I
b = −1.43108 + 0.48845I
3.50059 − 1.53756I 0
u = 0.132565 + 1.165520I
a = 0.03915 + 2.53352I
b = 0.131501 − 1.357020I
3.23214 − 4.63266I 0
u = 0.132565 − 1.165520I
a = 0.03915 − 2.53352I
b = 0.131501 + 1.357020I
3.23214 + 4.63266I 0
u = 0.002666 + 1.178680I
a = 0.676809 − 1.175660I
b = −1.169270 + 0.646241I
3.61163 + 1.55804I 0
u = 0.002666 − 1.178680I
a = 0.676809 + 1.175660I
b = −1.169270 − 0.646241I
3.61163 − 1.55804I 0
u = −0.151285 + 1.177340I
a = 0.41329 + 2.07435I
b = 0.43226 − 1.75944I
9.76091 + 5.72419I 0
u = −0.151285 − 1.177340I
a = 0.41329 − 2.07435I
b = 0.43226 + 1.75944I
9.76091 − 5.72419I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.191460 + 0.012419I
a = 0.130565 − 0.489369I
b = −0.48860 + 1.38167I
4.17351 + 5.38540I 0
u = 1.191460 − 0.012419I
a = 0.130565 + 0.489369I
b = −0.48860 − 1.38167I
4.17351 − 5.38540I 0
u = 0.106663 + 1.188350I
a = 0.74450 + 3.33756I
b = −0.209570 − 1.299310I
5.36863 − 10.42050I 0
u = 0.106663 − 1.188350I
a = 0.74450 − 3.33756I
b = −0.209570 + 1.299310I
5.36863 + 10.42050I 0
u = 0.281264 + 1.164210I
a = −0.499617 − 0.363828I
b = −0.513387 + 0.105594I
4.64422 − 1.12038I 0
u = 0.281264 − 1.164210I
a = −0.499617 + 0.363828I
b = −0.513387 − 0.105594I
4.64422 + 1.12038I 0
u = −0.037426 + 1.206240I
a = 0.79761 − 1.93796I
b = 0.30922 + 1.42884I
6.72614 + 3.11920I 0
u = −0.037426 − 1.206240I
a = 0.79761 + 1.93796I
b = 0.30922 − 1.42884I
6.72614 − 3.11920I 0
u = 0.768231 + 0.179991I
a = −0.229004 + 1.107430I
b = −0.284457 − 0.213294I
−1.35961 + 3.34267I 0
u = 0.768231 − 0.179991I
a = −0.229004 − 1.107430I
b = −0.284457 + 0.213294I
−1.35961 − 3.34267I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.450237 + 1.129640I
a = 1.08159 − 0.92564I
b = −0.510383 − 0.205515I
1.72094 + 7.82381I 0
u = −0.450237 − 1.129640I
a = 1.08159 + 0.92564I
b = −0.510383 + 0.205515I
1.72094 − 7.82381I 0
u = −0.223436 + 1.196850I
a = 0.66162 + 1.75649I
b = 0.13681 − 1.56788I
9.43294 − 3.08893I 0
u = −0.223436 − 1.196850I
a = 0.66162 − 1.75649I
b = 0.13681 + 1.56788I
9.43294 + 3.08893I 0
u = −0.603518 + 1.059190I
a = 1.037450 + 0.799838I
b = 0.365907 − 1.270220I
1.06458 + 9.62248I 0
u = −0.603518 − 1.059190I
a = 1.037450 − 0.799838I
b = 0.365907 + 1.270220I
1.06458 − 9.62248I 0
u = −0.288687 + 1.184920I
a = 0.138652 − 0.314545I
b = −0.640046 + 0.202767I
1.91202 + 2.76204I 0
u = −0.288687 − 1.184920I
a = 0.138652 + 0.314545I
b = −0.640046 − 0.202767I
1.91202 − 2.76204I 0
u = −0.729160 + 0.251539I
a = 0.113384 + 0.359445I
b = −0.162744 + 1.309360I
5.98268 + 2.64378I 0
u = −0.729160 − 0.251539I
a = 0.113384 − 0.359445I
b = −0.162744 − 1.309360I
5.98268 − 2.64378I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.480899 + 0.602446I
a = 0.25722 + 1.91127I
b = −0.398759 − 0.332342I
−3.64248 + 1.82200I 0
u = 0.480899 − 0.602446I
a = 0.25722 − 1.91127I
b = −0.398759 + 0.332342I
−3.64248 − 1.82200I 0
u = −0.167326 + 1.223240I
a = 1.43020 − 0.48536I
b = −1.99388 + 0.26584I
3.08839 − 1.01266I 0
u = −0.167326 − 1.223240I
a = 1.43020 + 0.48536I
b = −1.99388 − 0.26584I
3.08839 + 1.01266I 0
u = 0.613271 + 0.457217I
a = 1.20656 − 0.91303I
b = 0.02728 + 1.44953I
4.18721 − 2.06146I 0
u = 0.613271 − 0.457217I
a = 1.20656 + 0.91303I
b = 0.02728 − 1.44953I
4.18721 + 2.06146I 0
u = −0.506691 + 1.148720I
a = 0.316184 + 1.041090I
b = 0.735259 − 0.880646I
−2.00361 + 4.47632I 0
u = −0.506691 − 1.148720I
a = 0.316184 − 1.041090I
b = 0.735259 + 0.880646I
−2.00361 − 4.47632I 0
u = 0.589422 + 1.110200I
a = 0.86112 − 1.60289I
b = 0.234834 + 1.376290I
3.20575 − 3.50616I 0
u = 0.589422 − 1.110200I
a = 0.86112 + 1.60289I
b = 0.234834 − 1.376290I
3.20575 + 3.50616I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.331843 + 1.229400I
a = 0.132358 + 0.910865I
b = −1.088970 − 0.554810I
4.20739 − 8.28834I 0
u = 0.331843 − 1.229400I
a = 0.132358 − 0.910865I
b = −1.088970 + 0.554810I
4.20739 + 8.28834I 0
u = −0.247895 + 1.286380I
a = 0.165331 + 0.102441I
b = 0.697266 + 0.124675I
3.34055 + 6.58969I 0
u = −0.247895 − 1.286380I
a = 0.165331 − 0.102441I
b = 0.697266 − 0.124675I
3.34055 − 6.58969I 0
u = 0.374340 + 1.259280I
a = −0.00127852 + 0.00998449I
b = 0.865450 + 0.053819I
2.13115 − 7.55128I 0
u = 0.374340 − 1.259280I
a = −0.00127852 − 0.00998449I
b = 0.865450 − 0.053819I
2.13115 + 7.55128I 0
u = 0.680355 + 0.026540I
a = 0.515047 + 0.436675I
b = 0.742057 + 0.409507I
0.44173 − 4.57830I 0
u = 0.680355 − 0.026540I
a = 0.515047 − 0.436675I
b = 0.742057 − 0.409507I
0.44173 + 4.57830I 0
u = 0.443186 + 1.246440I
a = −0.522997 − 0.802719I
b = 1.40031 + 0.55525I
1.8632 − 14.1424I 0
u = 0.443186 − 1.246440I
a = −0.522997 + 0.802719I
b = 1.40031 − 0.55525I
1.8632 + 14.1424I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.517897 + 0.405372I
a = 0.52244 − 1.72953I
b = −0.979303 + 0.352505I
0.576668 + 0.247597I 0
u = −0.517897 − 0.405372I
a = 0.52244 + 1.72953I
b = −0.979303 − 0.352505I
0.576668 − 0.247597I 0
u = −1.341690 + 0.123032I
a = −0.058656 − 0.685993I
b = −0.38668 + 1.41090I
3.4615 + 14.1615I 0
u = −1.341690 − 0.123032I
a = −0.058656 + 0.685993I
b = −0.38668 − 1.41090I
3.4615 − 14.1615I 0
u = 0.598970 + 0.235062I
a = 0.190700 − 0.931123I
b = 0.341182 + 0.958710I
1.09668 − 2.85370I 0
u = 0.598970 − 0.235062I
a = 0.190700 + 0.931123I
b = 0.341182 − 0.958710I
1.09668 + 2.85370I 0
u = −0.621178 + 0.158102I
a = 0.203826 − 0.770996I
b = 1.076030 − 0.176436I
−0.95765 − 3.74813I 0
u = −0.621178 − 0.158102I
a = 0.203826 + 0.770996I
b = 1.076030 + 0.176436I
−0.95765 + 3.74813I 0
u = 0.129231 + 1.356950I
a = −0.70488 + 1.47927I
b = −0.313586 − 1.205940I
8.61587 − 1.20870I 0
u = 0.129231 − 1.356950I
a = −0.70488 − 1.47927I
b = −0.313586 + 1.205940I
8.61587 + 1.20870I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.095784 + 1.395260I
a = −0.04280 − 1.96802I
b = −0.65687 + 1.67937I
8.33970 + 9.96362I 0
u = −0.095784 − 1.395260I
a = −0.04280 + 1.96802I
b = −0.65687 − 1.67937I
8.33970 − 9.96362I 0
u = −1.386040 + 0.198691I
a = 0.015059 − 0.267132I
b = −0.167932 + 0.230915I
−4.28062 − 1.07992I 0
u = −1.386040 − 0.198691I
a = 0.015059 + 0.267132I
b = −0.167932 − 0.230915I
−4.28062 + 1.07992I 0
u = −0.569930 + 1.284900I
a = 0.51932 + 1.62601I
b = 0.27646 − 1.58138I
9.74950 + 6.95318I 0
u = −0.569930 − 1.284900I
a = 0.51932 − 1.62601I
b = 0.27646 + 1.58138I
9.74950 − 6.95318I 0
u = −0.552834 + 0.200323I
a = 0.579221 + 0.289335I
b = 0.512170 − 0.217345I
−1.099970 + 0.414983I 0
u = −0.552834 − 0.200323I
a = 0.579221 − 0.289335I
b = 0.512170 + 0.217345I
−1.099970 − 0.414983I 0
u = −0.16046 + 1.40869I
a = −0.164190 − 0.591656I
b = −0.577878 + 0.295166I
4.45091 + 2.78437I 0
u = −0.16046 − 1.40869I
a = −0.164190 + 0.591656I
b = −0.577878 − 0.295166I
4.45091 − 2.78437I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.57555 + 1.30011I
a = −0.041306 + 0.244256I
b = 0.523954 − 0.235023I
−0.43683 + 7.47319I 0
u = −0.57555 − 1.30011I
a = −0.041306 − 0.244256I
b = 0.523954 + 0.235023I
−0.43683 − 7.47319I 0
u = 0.29191 + 1.40612I
a = −0.42638 + 1.97265I
b = −0.37314 − 1.39273I
6.39380 − 6.45305I 0
u = 0.29191 − 1.40612I
a = −0.42638 − 1.97265I
b = −0.37314 + 1.39273I
6.39380 + 6.45305I 0
u = 0.25363 + 1.41906I
a = −1.16802 + 2.07400I
b = −0.115233 − 1.395630I
10.11930 − 5.12306I 0
u = 0.25363 − 1.41906I
a = −1.16802 − 2.07400I
b = −0.115233 + 1.395630I
10.11930 + 5.12306I 0
u = 0.36080 + 1.40745I
a = −0.84063 + 2.05457I
b = −0.39279 − 1.59206I
10.69200 − 6.13457I 0
u = 0.36080 − 1.40745I
a = −0.84063 − 2.05457I
b = −0.39279 + 1.59206I
10.69200 + 6.13457I 0
u = −1.47271 + 0.01769I
a = −0.035865 + 0.574036I
b = −0.084693 − 1.250970I
1.83897 − 4.70582I 0
u = −1.47271 − 0.01769I
a = −0.035865 − 0.574036I
b = −0.084693 + 1.250970I
1.83897 + 4.70582I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.49801 + 1.38916I
a = −0.85800 − 1.77805I
b = −0.41303 + 1.54086I
10.7554 + 13.6795I 0
u = −0.49801 − 1.38916I
a = −0.85800 + 1.77805I
b = −0.41303 − 1.54086I
10.7554 − 13.6795I 0
u = 0.42781 + 1.42892I
a = −0.96548 + 1.28629I
b = 0.060111 − 1.277900I
9.18517 − 0.57243I 0
u = 0.42781 − 1.42892I
a = −0.96548 − 1.28629I
b = 0.060111 + 1.277900I
9.18517 + 0.57243I 0
u = 0.54252 + 1.39052I
a = 0.54647 − 1.88770I
b = 0.59744 + 1.65791I
8.5901 − 11.4391I 0
u = 0.54252 − 1.39052I
a = 0.54647 + 1.88770I
b = 0.59744 − 1.65791I
8.5901 + 11.4391I 0
u = 0.21110 + 1.48020I
a = −0.93674 + 2.18756I
b = −0.21130 − 1.48891I
10.40420 − 5.39553I 0
u = 0.21110 − 1.48020I
a = −0.93674 − 2.18756I
b = −0.21130 + 1.48891I
10.40420 + 5.39553I 0
u = 0.16262 + 1.51096I
a = −0.869296 − 0.589013I
b = 0.234659 + 0.148268I
4.20111 + 5.03409I 0
u = 0.16262 − 1.51096I
a = −0.869296 + 0.589013I
b = 0.234659 − 0.148268I
4.20111 − 5.03409I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.42210 + 1.46694I
a = 0.94240 − 1.73514I
b = 0.256824 + 1.324450I
7.30722 − 9.93458I 0
u = 0.42210 − 1.46694I
a = 0.94240 + 1.73514I
b = 0.256824 − 1.324450I
7.30722 + 9.93458I 0
u = −0.69887 + 1.37603I
a = 0.70926 + 1.40526I
b = −0.05740 − 1.46680I
9.77786 − 2.07439I 0
u = −0.69887 − 1.37603I
a = 0.70926 − 1.40526I
b = −0.05740 + 1.46680I
9.77786 + 2.07439I 0
u = 0.183001 + 0.402886I
a = 2.86925 − 1.41213I
b = 0.078538 + 1.379260I
4.03516 − 3.20518I 7.17483 + 8.32888I
u = 0.183001 − 0.402886I
a = 2.86925 + 1.41213I
b = 0.078538 − 1.379260I
4.03516 + 3.20518I 7.17483 − 8.32888I
u = 0.297605 + 0.312808I
a = 1.39651 + 1.45903I
b = −0.030816 + 1.089200I
3.38027 + 0.31961I 3.96208 − 0.64806I
u = 0.297605 − 0.312808I
a = 1.39651 − 1.45903I
b = −0.030816 − 1.089200I
3.38027 − 0.31961I 3.96208 + 0.64806I
u = −0.55706 + 1.47307I
a = 0.62471 + 1.82428I
b = 0.49042 − 1.59741I
8.5406 + 20.7012I 0
u = −0.55706 − 1.47307I
a = 0.62471 − 1.82428I
b = 0.49042 + 1.59741I
8.5406 − 20.7012I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.73365 + 1.39443I
a = 0.87480 − 1.35975I
b = −0.09161 + 1.50739I
7.86889 − 5.56007I 0
u = 0.73365 − 1.39443I
a = 0.87480 + 1.35975I
b = −0.09161 − 1.50739I
7.86889 + 5.56007I 0
u = 0.362251 + 0.209228I
a = 0.75641 + 1.46279I
b = 0.300795 − 0.976137I
0.48660 + 2.86183I 0.99374 − 1.39324I
u = 0.362251 − 0.209228I
a = 0.75641 − 1.46279I
b = 0.300795 + 0.976137I
0.48660 − 2.86183I 0.99374 + 1.39324I
u = −0.06910 + 1.58578I
a = −0.22943 − 1.41497I
b = −0.348326 + 1.217230I
7.01672 + 0.79042I 0
u = −0.06910 − 1.58578I
a = −0.22943 + 1.41497I
b = −0.348326 − 1.217230I
7.01672 − 0.79042I 0
u = −0.58739 + 1.50576I
a = 0.61771 + 1.46452I
b = 0.33840 − 1.38094I
6.81769 + 11.83260I 0
u = −0.58739 − 1.50576I
a = 0.61771 − 1.46452I
b = 0.33840 + 1.38094I
6.81769 − 11.83260I 0
u = −0.76677 + 1.44514I
a = −0.688111 − 1.048090I
b = −0.185327 + 1.271600I
8.26020 + 3.61957I 0
u = −0.76677 − 1.44514I
a = −0.688111 + 1.048090I
b = −0.185327 − 1.271600I
8.26020 − 3.61957I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.37286 + 1.59560I
a = −0.50261 + 1.78770I
b = −0.208003 − 1.332070I
6.59551 − 5.84285I 0
u = 0.37286 − 1.59560I
a = −0.50261 − 1.78770I
b = −0.208003 + 1.332070I
6.59551 + 5.84285I 0
u = 0.087126 + 0.317448I
a = 2.87800 − 0.19260I
b = 0.515714 − 1.300300I
2.65668 + 9.42332I −0.11801 − 3.20119I
u = 0.087126 − 0.317448I
a = 2.87800 + 0.19260I
b = 0.515714 + 1.300300I
2.65668 − 9.42332I −0.11801 + 3.20119I
u = 0.223205 + 0.233786I
a = 2.08303 + 0.18442I
b = −0.295321 + 0.192397I
1.45186 + 0.65462I 3.88380 + 0.63906I
u = 0.223205 − 0.233786I
a = 2.08303 − 0.18442I
b = −0.295321 − 0.192397I
1.45186 − 0.65462I 3.88380 − 0.63906I
u = −0.47616 + 1.63652I
a = −0.41253 − 1.39560I
b = −0.253757 + 1.305180I
7.61999 + 2.60706I 0
u = −0.47616 − 1.63652I
a = −0.41253 + 1.39560I
b = −0.253757 − 1.305180I
7.61999 − 2.60706I 0
u = 0.231140 + 0.173261I
a = −3.42515 + 1.03563I
b = 0.58196 − 1.49974I
2.24414 + 1.47624I −0.113688 − 0.609715I
u = 0.231140 − 0.173261I
a = −3.42515 − 1.03563I
b = 0.58196 + 1.49974I
2.24414 − 1.47624I −0.113688 + 0.609715I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.59013 + 1.62198I
a = 0.50099 − 1.75656I
b = 0.22172 + 1.42694I
5.03520 − 10.27320I 0
u = 0.59013 − 1.62198I
a = 0.50099 + 1.75656I
b = 0.22172 − 1.42694I
5.03520 + 10.27320I 0
u = −0.61815 + 1.69288I
a = −0.68006 − 1.34419I
b = 0.128668 + 1.333530I
8.28468 − 6.48730I 0
u = −0.61815 − 1.69288I
a = −0.68006 + 1.34419I
b = 0.128668 − 1.333530I
8.28468 + 6.48730I 0
u = −0.125753 + 0.131744I
a = −2.19844 − 6.86553I
b = −0.065484 + 0.506757I
−0.82164 − 4.49761I −2.42543 − 3.96500I
u = −0.125753 − 0.131744I
a = −2.19844 + 6.86553I
b = −0.065484 − 0.506757I
−0.82164 + 4.49761I −2.42543 + 3.96500I
u = 1.88325 + 0.16436I
a = 0.064667 − 0.966319I
b = −0.048797 + 1.310530I
−0.60442 + 1.76334I 0
u = 1.88325 − 0.16436I
a = 0.064667 + 0.966319I
b = −0.048797 − 1.310530I
−0.60442 − 1.76334I 0
21
II. I
u
2
=
h7.31×10
64
u
43
−2.12×10
65
u
42
+· · ·+1.07×10
66
b−1.02×10
66
, 2.39×10
66
u
43
−
1.01 × 10
67
u
42
+ · · · + 2.02 × 10
67
a − 1.53 × 10
68
, u
44
− 2u
43
+ · · · + 87u + 19i
(i) Arc colorings
a
3
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
2
=
u
u
3
+ u
a
10
=
−0.117820u
43
+ 0.501075u
42
+ ··· + 38.8916u + 7.54974
−0.0685600u
43
+ 0.198973u
42
+ ··· − 1.70804u + 0.959383
a
5
=
−0.789926u
43
+ 1.38126u
42
+ ··· − 28.6565u − 3.30354
0.427411u
43
− 0.820802u
42
+ ··· + 5.35492u − 1.03866
a
9
=
−0.186380u
43
+ 0.700048u
42
+ ··· + 37.1835u + 8.50912
−0.0685600u
43
+ 0.198973u
42
+ ··· − 1.70804u + 0.959383
a
4
=
−2.49090u
43
+ 2.78682u
42
+ ··· − 198.821u − 33.4531
−0.164574u
43
+ 0.671154u
42
+ ··· + 27.1966u + 6.88779
a
1
=
1.03165u
43
− 1.57862u
42
+ ··· + 49.0488u + 6.89755
0.0656142u
43
− 0.285579u
42
+ ··· − 13.0198u − 3.36797
a
11
=
0.966262u
43
− 1.39598u
42
+ ··· + 66.9266u + 9.54862
−0.0688953u
43
+ 0.0360155u
42
+ ··· − 14.9051u − 2.02629
a
8
=
−0.0971778u
43
+ 0.460792u
42
+ ··· + 34.3945u + 7.17297
−0.0745770u
43
+ 0.220067u
42
+ ··· − 0.897866u + 0.779412
a
12
=
0.0498597u
43
− 0.247537u
42
+ ··· − 5.09068u − 0.761476
−0.186719u
43
+ 0.442196u
42
+ ··· + 1.12029u + 0.959565
(ii) Obstruction class = 1
(iii) Cusp Shapes = −7.40842u
43
+ 19.8691u
42
+ ··· + 312.884u + 95.4890
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
44
− 6u
43
+ ··· − 151u + 43
c
2
u
44
+ 2u
43
+ ··· − 87u + 19
c
3
u
44
+ 3u
43
+ ··· + 7u + 1
c
4
u
44
+ 7u
43
+ ··· + 13u + 1
c
5
u
44
+ 3u
43
+ ··· − 4u + 1
c
6
u
44
− 2u
43
+ ··· + 87u + 19
c
7
u
44
− u
43
+ ··· − u + 1
c
8
u
44
− 5u
43
+ ··· − 40u + 17
c
9
u
44
− 3u
43
+ ··· + 4u + 1
c
10
u
44
+ 3u
43
+ ··· + 10u + 1
c
11
u
44
+ u
43
+ ··· + u + 1
c
12
u
44
− 4u
43
+ ··· + 61u + 5
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
44
− 8y
43
+ ··· + 22951y + 1849
c
2
, c
6
y
44
+ 28y
43
+ ··· + 3527y + 361
c
3
y
44
+ 139y
43
+ ··· + 43y + 1
c
4
y
44
− 15y
43
+ ··· − 79y + 1
c
5
, c
9
y
44
+ 45y
43
+ ··· + 10y + 1
c
7
, c
11
y
44
+ 35y
43
+ ··· + 49y + 1
c
8
y
44
+ 21y
43
+ ··· + 18358y + 289
c
10
y
44
+ 3y
43
+ ··· − 22y + 1
c
12
y
44
− 40y
43
+ ··· − 291y + 25
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.062257 + 1.022790I
a = 7.76297 − 1.49932I
b = −0.095421 + 1.025200I
4.85810 + 0.38699I 151.552 − 63.012I
u = 0.062257 − 1.022790I
a = 7.76297 + 1.49932I
b = −0.095421 − 1.025200I
4.85810 − 0.38699I 151.552 + 63.012I
u = 0.123554 + 1.062890I
a = 2.59229 + 1.50600I
b = −2.89462 − 1.63014I
3.31548 + 1.69933I −8.6752 − 42.0622I
u = 0.123554 − 1.062890I
a = 2.59229 − 1.50600I
b = −2.89462 + 1.63014I
3.31548 − 1.69933I −8.6752 + 42.0622I
u = −0.122957 + 1.088400I
a = −0.913165 − 0.684792I
b = −0.595553 + 0.328871I
4.08935 + 0.67879I 4.01198 − 4.33976I
u = −0.122957 − 1.088400I
a = −0.913165 + 0.684792I
b = −0.595553 − 0.328871I
4.08935 − 0.67879I 4.01198 + 4.33976I
u = −0.362955 + 0.785432I
a = 0.118564 − 0.326616I
b = 0.478209 − 1.142540I
2.98404 + 10.41140I 2.51476 − 10.30800I
u = −0.362955 − 0.785432I
a = 0.118564 + 0.326616I
b = 0.478209 + 1.142540I
2.98404 − 10.41140I 2.51476 + 10.30800I
u = 0.041342 + 0.859482I
a = −0.85197 − 2.91413I
b = 1.36998 + 2.86415I
2.96927 − 2.00438I 28.1946 + 32.3001I
u = 0.041342 − 0.859482I
a = −0.85197 + 2.91413I
b = 1.36998 − 2.86415I
2.96927 + 2.00438I 28.1946 − 32.3001I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.550330 + 0.540222I
a = 1.186070 − 0.692964I
b = 0.288685 + 1.355860I
3.61360 − 2.37775I 1.23646 + 1.29587I
u = 0.550330 − 0.540222I
a = 1.186070 + 0.692964I
b = 0.288685 − 1.355860I
3.61360 + 2.37775I 1.23646 − 1.29587I
u = 1.225170 + 0.096810I
a = −0.310887 + 0.459935I
b = −0.048985 − 1.187770I
1.15065 − 4.01587I 0
u = 1.225170 − 0.096810I
a = −0.310887 − 0.459935I
b = −0.048985 + 1.187770I
1.15065 + 4.01587I 0
u = −0.732496 + 0.193842I
a = −0.552094 + 0.833461I
b = 0.038995 − 0.922684I
0.07951 + 3.68338I −2.20239 − 9.50222I
u = −0.732496 − 0.193842I
a = −0.552094 − 0.833461I
b = 0.038995 + 0.922684I
0.07951 − 3.68338I −2.20239 + 9.50222I
u = −0.378133 + 1.207360I
a = −0.43566 − 1.83560I
b = −0.36100 + 1.67391I
9.20157 + 6.41792I 0
u = −0.378133 − 1.207360I
a = −0.43566 + 1.83560I
b = −0.36100 − 1.67391I
9.20157 − 6.41792I 0
u = −0.476430 + 1.243010I
a = 0.566331 − 0.193856I
b = 0.123551 − 0.107406I
0.01967 + 6.80348I 0
u = −0.476430 − 1.243010I
a = 0.566331 + 0.193856I
b = 0.123551 + 0.107406I
0.01967 − 6.80348I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.436608 + 1.260690I
a = −0.68309 − 1.63185I
b = −0.02812 + 1.52579I
9.12441 − 2.42126I 0
u = −0.436608 − 1.260690I
a = −0.68309 + 1.63185I
b = −0.02812 − 1.52579I
9.12441 + 2.42126I 0
u = −0.460224 + 0.366720I
a = −0.84409 − 1.74080I
b = 0.350996 + 0.341595I
−3.53637 − 2.72590I −5.39396 + 5.86209I
u = −0.460224 − 0.366720I
a = −0.84409 + 1.74080I
b = 0.350996 − 0.341595I
−3.53637 + 2.72590I −5.39396 − 5.86209I
u = −0.03110 + 1.44675I
a = −0.473242 − 0.498624I
b = −0.195442 + 0.138237I
3.77268 + 3.65021I 0
u = −0.03110 − 1.44675I
a = −0.473242 + 0.498624I
b = −0.195442 − 0.138237I
3.77268 − 3.65021I 0
u = −1.43889 + 0.16365I
a = −0.097960 + 0.159270I
b = 0.085173 − 0.369615I
−4.12775 − 1.11647I 0
u = −1.43889 − 0.16365I
a = −0.097960 − 0.159270I
b = 0.085173 + 0.369615I
−4.12775 + 1.11647I 0
u = 0.322780 + 0.366854I
a = −2.00245 + 1.66700I
b = −0.077113 − 0.534685I
−0.76743 − 4.87078I 0.5109 + 16.3205I
u = 0.322780 − 0.366854I
a = −2.00245 − 1.66700I
b = −0.077113 + 0.534685I
−0.76743 + 4.87078I 0.5109 − 16.3205I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.21967 + 1.49571I
a = −0.89596 + 2.18521I
b = −0.22043 − 1.51180I
10.28310 − 5.30357I 0
u = 0.21967 − 1.49571I
a = −0.89596 − 2.18521I
b = −0.22043 + 1.51180I
10.28310 + 5.30357I 0
u = 0.06663 + 1.51525I
a = 0.03503 + 2.12416I
b = −0.30523 − 1.39957I
6.56810 − 8.25412I 0
u = 0.06663 − 1.51525I
a = 0.03503 − 2.12416I
b = −0.30523 + 1.39957I
6.56810 + 8.25412I 0
u = 0.17055 + 1.54830I
a = −0.387571 + 1.355670I
b = −0.308558 − 1.163430I
7.03556 − 1.34736I 0
u = 0.17055 − 1.54830I
a = −0.387571 − 1.355670I
b = −0.308558 + 1.163430I
7.03556 + 1.34736I 0
u = 0.49211 + 1.48409I
a = 0.71102 − 1.66601I
b = 0.318186 + 1.363780I
6.54924 − 10.01520I 0
u = 0.49211 − 1.48409I
a = 0.71102 + 1.66601I
b = 0.318186 − 1.363780I
6.54924 + 10.01520I 0
u = 0.68352 + 1.42779I
a = −0.758302 + 1.113230I
b = −0.188244 − 1.277560I
8.19041 − 3.52768I 0
u = 0.68352 − 1.42779I
a = −0.758302 − 1.113230I
b = −0.188244 + 1.277560I
8.19041 + 3.52768I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.239050 + 0.226266I
a = −0.22008 + 2.71479I
b = 0.719876 − 0.883281I
1.15080 + 2.00421I −2.97464 − 2.06552I
u = −0.239050 − 0.226266I
a = −0.22008 − 2.71479I
b = 0.719876 + 0.883281I
1.15080 − 2.00421I −2.97464 + 2.06552I
u = 1.72093 + 0.08645I
a = −0.098388 + 0.994708I
b = 0.045066 − 1.286260I
−0.85700 + 1.62303I 0
u = 1.72093 − 0.08645I
a = −0.098388 − 0.994708I
b = 0.045066 + 1.286260I
−0.85700 − 1.62303I 0
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
44
− 6u
43
+ ··· − 151u + 43)
· (u
168
− 13u
167
+ ··· − 21712189323u + 1419536343)
c
2
(u
44
+ 2u
43
+ ··· − 87u + 19)(u
168
− u
167
+ ··· − 545381u + 39698)
c
3
(u
44
+ 3u
43
+ ··· + 7u + 1)
· (u
168
− 2u
167
+ ··· − 7408948459u + 395731121)
c
4
(u
44
+ 7u
43
+ ··· + 13u + 1)(u
168
− 6u
167
+ ··· + 457u + 19)
c
5
(u
44
+ 3u
43
+ ··· − 4u + 1)
· (u
168
+ 77u
166
+ ··· − 46998156u + 3044193)
c
6
(u
44
− 2u
43
+ ··· + 87u + 19)(u
168
− u
167
+ ··· − 545381u + 39698)
c
7
(u
44
− u
43
+ ··· − u + 1)(u
168
+ 44u
166
+ ··· − 10323u + 2217)
c
8
(u
44
− 5u
43
+ ··· − 40u + 17)
· (u
168
− 4u
167
+ ··· − 7477336u + 3141661)
c
9
(u
44
− 3u
43
+ ··· + 4u + 1)
· (u
168
+ 77u
166
+ ··· − 46998156u + 3044193)
c
10
(u
44
+ 3u
43
+ ··· + 10u + 1)(u
168
+ 12u
167
+ ··· + 63876u + 5329)
c
11
(u
44
+ u
43
+ ··· + u + 1)(u
168
+ 44u
166
+ ··· − 10323u + 2217)
c
12
(u
44
− 4u
43
+ ··· + 61u + 5)(u
168
− 9u
167
+ ··· + 2597039u + 180482)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
44
− 8y
43
+ ··· + 22951y + 1849)
· (y
168
+ 41y
167
+ ··· + 9.35 × 10
19
y + 2.02 × 10
18
)
c
2
, c
6
(y
44
+ 28y
43
+ ··· + 3527y + 361)
· (y
168
+ 121y
167
+ ··· + 51727293639y + 1575931204)
c
3
(y
44
+ 139y
43
+ ··· + 43y + 1)
· (y
168
+ 200y
167
+ ··· + 1.07 × 10
18
y + 1.57 × 10
17
)
c
4
(y
44
− 15y
43
+ ··· − 79y + 1)(y
168
− 22y
167
+ ··· − 12313y + 361)
c
5
, c
9
(y
44
+ 45y
43
+ ··· + 10y + 1)
· (y
168
+ 154y
167
+ ··· − 30381005547372y + 9267111021249)
c
7
, c
11
(y
44
+ 35y
43
+ ··· + 49y + 1)
· (y
168
+ 88y
167
+ ··· + 213632547y + 4915089)
c
8
(y
44
+ 21y
43
+ ··· + 18358y + 289)
· (y
168
+ 46y
167
+ ··· + 3241576894776324y + 9870033838921)
c
10
(y
44
+ 3y
43
+ ··· − 22y + 1)
· (y
168
− 28y
167
+ ··· − 789826932y + 28398241)
c
12
(y
44
− 40y
43
+ ··· − 291y + 25)
· (y
168
− 67y
167
+ ··· − 2984683484193y + 32573752324)
33
