12a
1092
(K12a
1092
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 11 12 2 6 3 5 9 8
Solving Sequence
5,10
11
1,6
4 3 9 12 7 2 8
c
10
c
5
c
4
c
3
c
9
c
11
c
6
c
2
c
8
c
1
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.78909 × 10
906
u
150
+ 1.77978 × 10
907
u
149
+ ··· + 6.79585 × 10
909
b + 3.55880 × 10
912
,
− 2.72985 × 10
912
u
150
− 1.18971 × 10
913
u
149
+ ··· + 3.64126 × 10
915
a − 1.56273 × 10
918
,
u
151
+ 3u
150
+ ··· − 129350u − 535807i
I
u
2
= h1.73301 × 10
80
u
53
− 1.72167 × 10
80
u
52
+ ··· + 7.66015 × 10
80
b + 3.65973 × 10
81
,
4.63544 × 10
81
u
53
− 1.34440 × 10
82
u
52
+ ··· + 8.42616 × 10
81
a + 9.73365 × 10
82
, u
54
− 2u
53
+ ··· − 43u + 11i
I
u
3
= h−282584245189u
23
− 141467030199u
22
+ ··· + 3582237958296b + 1522929087540,
− 1250731616591u
23
− 362681281151u
22
+ ··· + 3582237958296a + 7441470529330,
u
24
− 6u
22
+ ··· − 11u + 4i
* 3 irreducible components of dim
C
= 0, with total 229 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
= h2.79 × 10
906
u
150
+ 1.78 × 10
907
u
149
+ · · · + 6.80 × 10
909
b + 3.56 ×
10
912
, −2.73 × 10
912
u
150
− 1.19 × 10
913
u
149
+ · · · + 3.64 × 10
915
a − 1.56 ×
10
918
, u
151
+ 3u
150
+ · · · − 129350u − 535807i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
1
=
0.000749699u
150
+ 0.00326730u
149
+ ··· + 363.834u + 429.173
−0.000410410u
150
− 0.00261892u
149
+ ··· − 257.671u − 523.672
a
6
=
−u
−u
3
+ u
a
4
=
−0.000150529u
150
− 0.000418998u
149
+ ··· − 47.7340u + 0.0445641
0.000645914u
150
+ 0.00293879u
149
+ ··· + 332.117u + 373.399
a
3
=
0.000495385u
150
+ 0.00251979u
149
+ ··· + 284.383u + 373.444
0.000645914u
150
+ 0.00293879u
149
+ ··· + 332.117u + 373.399
a
9
=
−0.000269832u
150
− 0.00118694u
149
+ ··· − 143.133u − 102.321
−0.000513616u
150
− 0.00166823u
149
+ ··· − 213.719u − 8.85896
a
12
=
−0.000393228u
150
− 0.00161135u
149
+ ··· − 206.157u − 152.825
−0.000370259u
150
− 0.00151256u
149
+ ··· − 145.856u − 181.818
a
7
=
−0.00100894u
150
− 0.00351848u
149
+ ··· − 414.637u − 216.564
−0.000110272u
150
− 0.0000858943u
149
+ ··· + 7.81534u + 60.3391
a
2
=
−0.000238467u
150
− 0.00104981u
149
+ ··· − 120.209u − 81.4658
0.000692938u
150
+ 0.00243784u
149
+ ··· + 299.809u + 124.677
a
8
=
0.000237567u
150
+ 0.000270994u
149
+ ··· + 60.1651u − 170.428
−0.000358262u
150
− 0.00110698u
149
+ ··· − 153.461u + 24.8154
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.00312249u
150
+ 0.0113018u
149
+ ··· + 1116.10u + 438.520
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
151
− 6u
150
+ ··· + 570u + 89
c
2
, c
7
u
151
+ u
150
+ ··· − 1422u + 995
c
3
, c
9
u
151
+ 25u
150
+ ··· + 809488384u + 28909568
c
5
, c
10
u
151
− 3u
150
+ ··· − 129350u + 535807
c
6
u
151
+ u
150
+ ··· + 13u + 1
c
8
u
151
+ 29u
150
+ ··· − 1060088u − 59168
c
11
u
151
− 11u
150
+ ··· + 13999u − 2101
c
12
u
151
− 5u
150
+ ··· + 5134178638u + 454373173
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
151
+ 70y
150
+ ··· + 148680y −7921
c
2
, c
7
y
151
+ 109y
150
+ ··· − 58402276y −990025
c
3
, c
9
y
151
− 79y
150
+ ··· + 3044650659086336y −835763121946624
c
5
, c
10
y
151
− 131y
150
+ ··· + 3528966668166y −287089141249
c
6
y
151
− 9y
150
+ ··· + 91y −1
c
8
y
151
− y
150
+ ··· − 239762712768y −3500852224
c
11
y
151
− 49y
150
+ ··· + 489292611y −4414201
c
12
y
151
+ 11y
150
+ ··· − 6.12 × 10
18
y −2.06 × 10
17
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.989621 + 0.201988I
a = −1.330770 − 0.209572I
b = 1.031990 − 0.191384I
−5.97670 + 0.32378I 0
u = −0.989621 − 0.201988I
a = −1.330770 + 0.209572I
b = 1.031990 + 0.191384I
−5.97670 − 0.32378I 0
u = 0.195647 + 0.992750I
a = 0.101560 + 0.965208I
b = −1.021620 + 0.241159I
−4.65085 − 8.19139I 0
u = 0.195647 − 0.992750I
a = 0.101560 − 0.965208I
b = −1.021620 − 0.241159I
−4.65085 + 8.19139I 0
u = −1.029590 + 0.146232I
a = 0.337774 + 0.748832I
b = −1.057260 − 0.016984I
−0.64871 + 4.01069I 0
u = −1.029590 − 0.146232I
a = 0.337774 − 0.748832I
b = −1.057260 + 0.016984I
−0.64871 − 4.01069I 0
u = 0.924459 + 0.487330I
a = 0.153325 + 0.004777I
b = −2.63013 + 1.23160I
−5.67979 − 7.53610I 0
u = 0.924459 − 0.487330I
a = 0.153325 − 0.004777I
b = −2.63013 − 1.23160I
−5.67979 + 7.53610I 0
u = −0.842144 + 0.619436I
a = −0.603416 + 0.781620I
b = 1.18333 + 0.95315I
3.29033 + 4.04562I 0
u = −0.842144 − 0.619436I
a = −0.603416 − 0.781620I
b = 1.18333 − 0.95315I
3.29033 − 4.04562I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.932288 + 0.136389I
a = 0.095187 − 1.404090I
b = 0.276146 − 1.320560I
−0.54133 − 3.45770I 0
u = −0.932288 − 0.136389I
a = 0.095187 + 1.404090I
b = 0.276146 + 1.320560I
−0.54133 + 3.45770I 0
u = −0.785433 + 0.512996I
a = 0.669447 − 0.703718I
b = −1.53714 − 0.24161I
3.43539 + 0.47178I 0
u = −0.785433 − 0.512996I
a = 0.669447 + 0.703718I
b = −1.53714 + 0.24161I
3.43539 − 0.47178I 0
u = −0.040993 + 0.918125I
a = −1.155170 + 0.309329I
b = 1.252510 + 0.591347I
4.02575 − 3.19914I 0
u = −0.040993 − 0.918125I
a = −1.155170 − 0.309329I
b = 1.252510 − 0.591347I
4.02575 + 3.19914I 0
u = −0.014299 + 0.917280I
a = 1.270090 − 0.264676I
b = −1.45701 + 0.52769I
2.48346 − 2.86698I 0
u = −0.014299 − 0.917280I
a = 1.270090 + 0.264676I
b = −1.45701 − 0.52769I
2.48346 + 2.86698I 0
u = 1.086560 + 0.180897I
a = 0.738300 + 0.773623I
b = −2.00520 + 1.01112I
−2.19680 − 2.99995I 0
u = 1.086560 − 0.180897I
a = 0.738300 − 0.773623I
b = −2.00520 − 1.01112I
−2.19680 + 2.99995I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.608640 + 0.648787I
a = 1.235550 + 0.508695I
b = −0.797078 − 0.409202I
1.65331 + 0.22737I 0
u = 0.608640 − 0.648787I
a = 1.235550 − 0.508695I
b = −0.797078 + 0.409202I
1.65331 − 0.22737I 0
u = 1.131570 + 0.079430I
a = 0.557842 + 0.718049I
b = −2.53566 − 0.62292I
−2.15261 − 2.28421I 0
u = 1.131570 − 0.079430I
a = 0.557842 − 0.718049I
b = −2.53566 + 0.62292I
−2.15261 + 2.28421I 0
u = −1.086910 + 0.325244I
a = −0.68020 + 1.38185I
b = 0.555995 + 1.041930I
0.11559 + 8.78908I 0
u = −1.086910 − 0.325244I
a = −0.68020 − 1.38185I
b = 0.555995 − 1.041930I
0.11559 − 8.78908I 0
u = −1.033810 + 0.478244I
a = 0.934375 − 0.280354I
b = −1.74148 − 0.45747I
−1.16547 + 7.92072I 0
u = −1.033810 − 0.478244I
a = 0.934375 + 0.280354I
b = −1.74148 + 0.45747I
−1.16547 − 7.92072I 0
u = −0.239480 + 0.797698I
a = −1.66465 − 0.06518I
b = 1.165070 − 0.290693I
1.84287 + 8.78656I 0
u = −0.239480 − 0.797698I
a = −1.66465 + 0.06518I
b = 1.165070 + 0.290693I
1.84287 − 8.78656I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.695070 + 0.939006I
a = 1.090170 − 0.024159I
b = −1.56812 − 0.52401I
0.79650 + 2.81303I 0
u = −0.695070 − 0.939006I
a = 1.090170 + 0.024159I
b = −1.56812 + 0.52401I
0.79650 − 2.81303I 0
u = 0.419965 + 1.101130I
a = 1.234950 + 0.047860I
b = −1.47189 + 0.37047I
1.81514 − 1.66518I 0
u = 0.419965 − 1.101130I
a = 1.234950 − 0.047860I
b = −1.47189 − 0.37047I
1.81514 + 1.66518I 0
u = 1.186160 + 0.018466I
a = −0.336979 − 0.813641I
b = 1.049530 − 0.539248I
−1.116100 − 0.815767I 0
u = 1.186160 − 0.018466I
a = −0.336979 + 0.813641I
b = 1.049530 + 0.539248I
−1.116100 + 0.815767I 0
u = 1.185190 + 0.081323I
a = −1.178090 + 0.567113I
b = 0.0118928 − 0.1371670I
−9.18886 − 1.94213I 0
u = 1.185190 − 0.081323I
a = −1.178090 − 0.567113I
b = 0.0118928 + 0.1371670I
−9.18886 + 1.94213I 0
u = 1.199840 + 0.016721I
a = 0.569267 + 0.694885I
b = −0.975285 − 0.617361I
−2.62660 − 2.23776I 0
u = 1.199840 − 0.016721I
a = 0.569267 − 0.694885I
b = −0.975285 + 0.617361I
−2.62660 + 2.23776I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.628319 + 1.025400I
a = 1.077340 − 0.573236I
b = −1.214200 + 0.231562I
1.58459 − 4.07369I 0
u = −0.628319 − 1.025400I
a = 1.077340 + 0.573236I
b = −1.214200 − 0.231562I
1.58459 + 4.07369I 0
u = 1.178530 + 0.265679I
a = −0.966890 − 0.906870I
b = 1.26949 − 1.06631I
−6.64560 − 10.08510I 0
u = 1.178530 − 0.265679I
a = −0.966890 + 0.906870I
b = 1.26949 + 1.06631I
−6.64560 + 10.08510I 0
u = 0.087688 + 0.785135I
a = 0.101352 − 1.238340I
b = 0.235453 − 0.079604I
−2.35988 + 3.71556I 0
u = 0.087688 − 0.785135I
a = 0.101352 + 1.238340I
b = 0.235453 + 0.079604I
−2.35988 − 3.71556I 0
u = −1.210980 + 0.022993I
a = 0.398547 − 0.779594I
b = −1.55343 − 2.07829I
−10.10550 − 1.91827I 0
u = −1.210980 − 0.022993I
a = 0.398547 + 0.779594I
b = −1.55343 + 2.07829I
−10.10550 + 1.91827I 0
u = −1.203270 + 0.220242I
a = −0.798951 + 0.893305I
b = 1.23314 + 1.07555I
−3.55896 + 5.56320I 0
u = −1.203270 − 0.220242I
a = −0.798951 − 0.893305I
b = 1.23314 − 1.07555I
−3.55896 − 5.56320I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.191840 + 0.289597I
a = −0.313367 − 0.780595I
b = 1.60916 − 0.38432I
0.176558 − 0.397747I 0
u = 1.191840 − 0.289597I
a = −0.313367 + 0.780595I
b = 1.60916 + 0.38432I
0.176558 + 0.397747I 0
u = −1.180870 + 0.334257I
a = −0.687722 − 0.516559I
b = 1.034490 − 0.173996I
−6.34709 − 0.01164I 0
u = −1.180870 − 0.334257I
a = −0.687722 + 0.516559I
b = 1.034490 + 0.173996I
−6.34709 + 0.01164I 0
u = −0.229732 + 0.730854I
a = −0.91153 + 1.14541I
b = 1.46688 − 0.17101I
−2.70877 − 7.53291I 0
u = −0.229732 − 0.730854I
a = −0.91153 − 1.14541I
b = 1.46688 + 0.17101I
−2.70877 + 7.53291I 0
u = 1.186400 + 0.364122I
a = 0.502048 − 0.437452I
b = −1.59308 + 0.10936I
−5.72474 − 7.93365I 0
u = 1.186400 − 0.364122I
a = 0.502048 + 0.437452I
b = −1.59308 − 0.10936I
−5.72474 + 7.93365I 0
u = 1.26871
a = 0.517408
b = 0.241829
−3.38525 0
u = −1.263770 + 0.123102I
a = −0.393794 + 0.673452I
b = 2.02171 + 0.17657I
−0.01782 + 1.69227I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.263770 − 0.123102I
a = −0.393794 − 0.673452I
b = 2.02171 − 0.17657I
−0.01782 − 1.69227I 0
u = 0.103548 + 0.715178I
a = 0.864427 + 1.076480I
b = −0.936398 − 0.457335I
−3.30497 − 2.46768I 0
u = 0.103548 − 0.715178I
a = 0.864427 − 1.076480I
b = −0.936398 + 0.457335I
−3.30497 + 2.46768I 0
u = −1.227180 + 0.387109I
a = 0.779630 − 0.661051I
b = −1.88535 − 1.29000I
−5.86046 + 11.71370I 0
u = −1.227180 − 0.387109I
a = 0.779630 + 0.661051I
b = −1.88535 + 1.29000I
−5.86046 − 11.71370I 0
u = 0.635202 + 0.316199I
a = 0.053034 − 1.161830I
b = 1.233790 − 0.169281I
−0.915896 + 0.914335I 0
u = 0.635202 − 0.316199I
a = 0.053034 + 1.161830I
b = 1.233790 + 0.169281I
−0.915896 − 0.914335I 0
u = −1.277450 + 0.233343I
a = 0.625894 + 0.527686I
b = 0.012172 − 0.347496I
−7.64715 + 5.75381I 0
u = −1.277450 − 0.233343I
a = 0.625894 − 0.527686I
b = 0.012172 + 0.347496I
−7.64715 − 5.75381I 0
u = 0.666922 + 0.200410I
a = 0.261037 − 1.159800I
b = 1.26351 − 0.81653I
−0.96603 + 1.13617I 12.53695 + 0.I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.666922 − 0.200410I
a = 0.261037 + 1.159800I
b = 1.26351 + 0.81653I
−0.96603 − 1.13617I 12.53695 + 0.I
u = 0.137805 + 0.680821I
a = 1.74045 + 0.11392I
b = −1.48404 + 0.43443I
3.41391 − 3.17991I 5.95844 + 8.12878I
u = 0.137805 − 0.680821I
a = 1.74045 − 0.11392I
b = −1.48404 − 0.43443I
3.41391 + 3.17991I 5.95844 − 8.12878I
u = 1.116370 + 0.736754I
a = −0.450058 − 0.847177I
b = 1.094290 − 0.246895I
−0.42705 − 4.70858I 0
u = 1.116370 − 0.736754I
a = −0.450058 + 0.847177I
b = 1.094290 + 0.246895I
−0.42705 + 4.70858I 0
u = 1.266710 + 0.463259I
a = −0.464537 − 0.479341I
b = 1.44687 − 0.31122I
−1.58687 − 2.36382I 0
u = 1.266710 − 0.463259I
a = −0.464537 + 0.479341I
b = 1.44687 + 0.31122I
−1.58687 + 2.36382I 0
u = −1.344700 + 0.117596I
a = −0.881978 + 0.016553I
b = 0.215971 − 0.056476I
−6.72520 + 1.37500I 0
u = −1.344700 − 0.117596I
a = −0.881978 − 0.016553I
b = 0.215971 + 0.056476I
−6.72520 − 1.37500I 0
u = 1.348120 + 0.072768I
a = −0.411708 + 0.644962I
b = 1.89920 + 1.58101I
−8.21282 + 4.76264I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.348120 − 0.072768I
a = −0.411708 − 0.644962I
b = 1.89920 − 1.58101I
−8.21282 − 4.76264I 0
u = −1.351950 + 0.017095I
a = −0.430479 − 0.932062I
b = 0.839409 − 0.751971I
−2.00215 − 5.67221I 0
u = −1.351950 − 0.017095I
a = −0.430479 + 0.932062I
b = 0.839409 + 0.751971I
−2.00215 + 5.67221I 0
u = 1.322100 + 0.303321I
a = −0.605950 − 0.791118I
b = 1.50324 − 1.59347I
−4.42620 − 9.52734I 0
u = 1.322100 − 0.303321I
a = −0.605950 + 0.791118I
b = 1.50324 + 1.59347I
−4.42620 + 9.52734I 0
u = −1.340000 + 0.231429I
a = −0.745977 + 0.744326I
b = 1.142940 + 0.832721I
−4.35348 + 5.51402I 0
u = −1.340000 − 0.231429I
a = −0.745977 − 0.744326I
b = 1.142940 − 0.832721I
−4.35348 − 5.51402I 0
u = −1.301210 + 0.454938I
a = 0.572759 − 0.516468I
b = −1.72100 − 0.34050I
0.02293 + 8.11047I 0
u = −1.301210 − 0.454938I
a = 0.572759 + 0.516468I
b = −1.72100 + 0.34050I
0.02293 − 8.11047I 0
u = −1.331420 + 0.368886I
a = −0.666291 + 0.871423I
b = 1.29321 + 1.21938I
−1.79274 + 7.42457I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.331420 − 0.368886I
a = −0.666291 − 0.871423I
b = 1.29321 − 1.21938I
−1.79274 − 7.42457I 0
u = 0.026405 + 0.616604I
a = 1.45663 + 0.62859I
b = −1.62245 − 0.72311I
−0.20238 + 6.06846I 3.67652 − 7.39581I
u = 0.026405 − 0.616604I
a = 1.45663 − 0.62859I
b = −1.62245 + 0.72311I
−0.20238 − 6.06846I 3.67652 + 7.39581I
u = −0.517747 + 0.332482I
a = −0.603630 + 0.433052I
b = −0.498698 − 0.436422I
−0.28235 + 4.11135I −4.20800 − 7.14416I
u = −0.517747 − 0.332482I
a = −0.603630 − 0.433052I
b = −0.498698 + 0.436422I
−0.28235 − 4.11135I −4.20800 + 7.14416I
u = 0.352455 + 0.502252I
a = 0.95196 + 1.92702I
b = −0.856412 − 0.465099I
−4.07138 + 7.13413I −5.64153 − 7.85475I
u = 0.352455 − 0.502252I
a = 0.95196 − 1.92702I
b = −0.856412 + 0.465099I
−4.07138 − 7.13413I −5.64153 + 7.85475I
u = 0.561878 + 0.180974I
a = 0.582727 + 0.163441I
b = 0.502900 + 0.322357I
−1.137050 − 0.709680I −6.09225 + 1.45743I
u = 0.561878 − 0.180974I
a = 0.582727 − 0.163441I
b = 0.502900 − 0.322357I
−1.137050 + 0.709680I −6.09225 − 1.45743I
u = −0.240479 + 0.528061I
a = 0.278878 + 0.438973I
b = −0.198193 + 0.249502I
1.26193 − 0.96699I 3.36748 + 0.94788I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.240479 − 0.528061I
a = 0.278878 − 0.438973I
b = −0.198193 − 0.249502I
1.26193 + 0.96699I 3.36748 − 0.94788I
u = 0.22398 + 1.40552I
a = −0.882443 + 0.308104I
b = 1.80574 − 0.35041I
−2.06865 − 13.83450I 0
u = 0.22398 − 1.40552I
a = −0.882443 − 0.308104I
b = 1.80574 + 0.35041I
−2.06865 + 13.83450I 0
u = 1.42459 + 0.06763I
a = −0.614236 + 0.328732I
b = −0.067413 + 0.198167I
−8.50745 + 4.93640I 0
u = 1.42459 − 0.06763I
a = −0.614236 − 0.328732I
b = −0.067413 − 0.198167I
−8.50745 − 4.93640I 0
u = −1.40351 + 0.37924I
a = −0.669391 + 0.614115I
b = 1.42576 + 0.39497I
−4.26323 + 6.00112I 0
u = −1.40351 − 0.37924I
a = −0.669391 − 0.614115I
b = 1.42576 − 0.39497I
−4.26323 − 6.00112I 0
u = 1.43301 + 0.37070I
a = 0.587857 + 0.631114I
b = −1.72880 + 0.15451I
−3.51012 − 13.13470I 0
u = 1.43301 − 0.37070I
a = 0.587857 − 0.631114I
b = −1.72880 − 0.15451I
−3.51012 + 13.13470I 0
u = 1.44117 + 0.35913I
a = 0.614950 − 0.387708I
b = −0.0649504 − 0.0856047I
−6.48069 − 7.66786I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44117 − 0.35913I
a = 0.614950 + 0.387708I
b = −0.0649504 + 0.0856047I
−6.48069 + 7.66786I 0
u = −1.42027 + 0.45853I
a = 0.673911 + 0.617842I
b = −0.0913554 − 0.0274073I
−9.7118 + 13.4451I 0
u = −1.42027 − 0.45853I
a = 0.673911 − 0.617842I
b = −0.0913554 + 0.0274073I
−9.7118 − 13.4451I 0
u = −1.40105 + 0.53521I
a = 0.569791 − 0.489838I
b = −1.78754 − 1.86093I
−10.62830 + 7.42736I 0
u = −1.40105 − 0.53521I
a = 0.569791 + 0.489838I
b = −1.78754 + 1.86093I
−10.62830 − 7.42736I 0
u = 1.35137 + 0.65290I
a = −0.528261 + 0.791645I
b = −0.021432 + 0.178966I
−10.06200 − 3.93216I 0
u = 1.35137 − 0.65290I
a = −0.528261 − 0.791645I
b = −0.021432 − 0.178966I
−10.06200 + 3.93216I 0
u = −0.20719 + 1.48996I
a = −0.710545 − 0.222258I
b = 2.00454 + 0.39262I
1.42160 + 6.81005I 0
u = −0.20719 − 1.48996I
a = −0.710545 + 0.222258I
b = 2.00454 − 0.39262I
1.42160 − 6.81005I 0
u = 0.021373 + 0.487123I
a = −0.03131 + 1.52211I
b = 1.47558 + 0.53439I
−6.84707 − 1.57322I −11.20662 + 3.99424I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.021373 − 0.487123I
a = −0.03131 − 1.52211I
b = 1.47558 − 0.53439I
−6.84707 + 1.57322I −11.20662 − 3.99424I
u = 0.423933 + 0.232833I
a = 1.197130 + 0.084477I
b = 0.221878 + 0.656554I
−1.24682 − 1.15343I −2.63294 + 5.49737I
u = 0.423933 − 0.232833I
a = 1.197130 − 0.084477I
b = 0.221878 − 0.656554I
−1.24682 + 1.15343I −2.63294 − 5.49737I
u = −1.52130 + 0.01187I
a = 0.262601 + 0.518135I
b = −0.081759 − 0.535539I
−10.73120 − 5.55715I 0
u = −1.52130 − 0.01187I
a = 0.262601 − 0.518135I
b = −0.081759 + 0.535539I
−10.73120 + 5.55715I 0
u = −0.452519 + 0.091194I
a = −0.89989 + 1.51014I
b = −0.666509 − 0.341622I
−0.23151 + 4.11735I −4.65728 − 6.18703I
u = −0.452519 − 0.091194I
a = −0.89989 − 1.51014I
b = −0.666509 + 0.341622I
−0.23151 − 4.11735I −4.65728 + 6.18703I
u = 0.49169 + 1.46138I
a = 0.544485 + 0.566434I
b = −1.49887 + 0.03397I
−4.49884 + 3.03697I 0
u = 0.49169 − 1.46138I
a = 0.544485 − 0.566434I
b = −1.49887 − 0.03397I
−4.49884 − 3.03697I 0
u = 1.56061 + 0.10706I
a = −0.116307 + 0.246242I
b = 0.016091 − 0.478918I
−7.80280 − 5.42649I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.56061 − 0.10706I
a = −0.116307 − 0.246242I
b = 0.016091 + 0.478918I
−7.80280 + 5.42649I 0
u = 1.49158 + 0.57501I
a = 0.659165 + 0.548921I
b = −1.71740 + 1.40334I
−3.8756 − 13.7118I 0
u = 1.49158 − 0.57501I
a = 0.659165 − 0.548921I
b = −1.71740 − 1.40334I
−3.8756 + 13.7118I 0
u = −0.221972 + 0.322484I
a = 1.93378 − 1.50615I
b = −1.41122 − 0.44461I
3.31418 − 0.17339I 5.19920 − 0.83619I
u = −0.221972 − 0.322484I
a = 1.93378 + 1.50615I
b = −1.41122 + 0.44461I
3.31418 + 0.17339I 5.19920 + 0.83619I
u = −1.51370 + 0.57178I
a = 0.731304 − 0.540077I
b = −1.81834 − 1.21173I
−7.4956 + 20.6334I 0
u = −1.51370 − 0.57178I
a = 0.731304 + 0.540077I
b = −1.81834 + 1.21173I
−7.4956 − 20.6334I 0
u = −1.59809 + 0.35010I
a = 0.244082 + 0.485375I
b = 0.207672 + 0.051096I
−11.60660 + 3.02641I 0
u = −1.59809 − 0.35010I
a = 0.244082 − 0.485375I
b = 0.207672 − 0.051096I
−11.60660 − 3.02641I 0
u = 1.66903 + 0.00947I
a = −0.372767 + 0.521914I
b = 0.554735 − 0.138348I
−8.12071 + 0.05756I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.66903 − 0.00947I
a = −0.372767 − 0.521914I
b = 0.554735 + 0.138348I
−8.12071 − 0.05756I 0
u = 0.146949 + 0.294093I
a = 3.30081 + 0.29583I
b = −0.066100 + 0.467977I
0.26390 − 2.58724I −2.45185 + 7.71917I
u = 0.146949 − 0.294093I
a = 3.30081 − 0.29583I
b = −0.066100 − 0.467977I
0.26390 + 2.58724I −2.45185 − 7.71917I
u = 1.52987 + 0.72491I
a = −0.748445 − 0.432351I
b = 1.80741 − 1.11732I
−8.31101 − 11.29300I 0
u = 1.52987 − 0.72491I
a = −0.748445 + 0.432351I
b = 1.80741 + 1.11732I
−8.31101 + 11.29300I 0
u = −1.82271 + 0.17464I
a = −0.094534 + 0.264656I
b = 1.025390 + 0.727058I
−6.10859 − 2.77337I 0
u = −1.82271 − 0.17464I
a = −0.094534 − 0.264656I
b = 1.025390 − 0.727058I
−6.10859 + 2.77337I 0
u = −1.78794 + 0.56607I
a = −0.453249 + 0.519386I
b = 1.49953 + 1.67761I
−2.89566 + 6.30471I 0
u = −1.78794 − 0.56607I
a = −0.453249 − 0.519386I
b = 1.49953 − 1.67761I
−2.89566 − 6.30471I 0
u = 2.22546 + 1.00168I
a = 0.020391 + 0.422713I
b = −0.626720 + 1.183580I
−6.23265 + 4.55035I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 2.22546 − 1.00168I
a = 0.020391 − 0.422713I
b = −0.626720 − 1.183580I
−6.23265 − 4.55035I 0
20
II. I
u
2
=
h1.73×10
80
u
53
−1.72×10
80
u
52
+· · ·+7.66×10
80
b+3.66×10
81
, 4.64×10
81
u
53
−
1.34 × 10
82
u
52
+ · · · + 8.43 × 10
81
a + 9.73 × 10
82
, u
54
− 2u
53
+ · · · − 43u + 11i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
1
=
−0.550125u
53
+ 1.59550u
52
+ ··· + 75.8369u − 11.5517
−0.226238u
53
+ 0.224757u
52
+ ··· + 22.7969u − 4.77763
a
6
=
−u
−u
3
+ u
a
4
=
−0.0179852u
53
− 0.220241u
52
+ ··· + 8.91263u − 5.48036
−0.559122u
53
+ 1.48374u
52
+ ··· + 49.8553u − 8.31330
a
3
=
−0.577107u
53
+ 1.26350u
52
+ ··· + 58.7680u − 13.7937
−0.559122u
53
+ 1.48374u
52
+ ··· + 49.8553u − 8.31330
a
9
=
−1.01420u
53
+ 2.83380u
52
+ ··· + 56.3665u − 6.85048
−0.866129u
53
+ 2.50276u
52
+ ··· + 66.4864u − 14.0988
a
12
=
−0.0432115u
53
+ 0.378779u
52
+ ··· + 28.3933u − 7.22391
0.237289u
53
− 0.775323u
52
+ ··· − 28.4938u + 4.96330
a
7
=
0.123822u
53
− 0.319543u
52
+ ··· − 43.2630u + 10.3572
0.0480234u
53
− 0.0717246u
52
+ ··· + 13.4747u − 1.55193
a
2
=
1.22376u
53
− 3.16315u
52
+ ··· − 50.5427u + 14.6313
−0.991266u
53
+ 2.26787u
52
+ ··· + 78.9799u − 15.5513
a
8
=
−0.149293u
53
+ 0.465092u
52
+ ··· − 7.46212u + 5.90278
−1.33911u
53
+ 3.88609u
52
+ ··· + 93.3289u − 19.8243
(ii) Obstruction class = 1
(iii) Cusp Shapes = 18.2365u
53
− 51.8074u
52
+ ··· − 935.221u + 187.588
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
54
− 7u
53
+ ··· + u + 1
c
2
u
54
+ 23u
52
+ ··· + u + 1
c
3
u
54
− 11u
52
+ ··· + 2u + 1
c
4
u
54
+ 7u
53
+ ··· − u + 1
c
5
u
54
+ 2u
53
+ ··· + 43u + 11
c
6
u
54
− 4u
52
+ ··· + 22u + 1
c
7
u
54
+ 23u
52
+ ··· − u + 1
c
8
u
54
+ 6u
53
+ ··· + 11u
2
+ 1
c
9
u
54
− 11u
52
+ ··· − 2u + 1
c
10
u
54
− 2u
53
+ ··· − 43u + 11
c
11
u
54
+ 8u
53
+ ··· + 10u + 1
c
12
u
54
− 10u
52
+ ··· + 53u + 25
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
54
+ 23y
53
+ ··· + 51y + 1
c
2
, c
7
y
54
+ 46y
53
+ ··· + 43y + 1
c
3
, c
9
y
54
− 22y
53
+ ··· − 42y + 1
c
5
, c
10
y
54
− 50y
53
+ ··· + 1605y + 121
c
6
y
54
− 8y
53
+ ··· − 172y + 1
c
8
y
54
− 22y
53
+ ··· + 22y + 1
c
11
y
54
− 32y
53
+ ··· − 44y + 1
c
12
y
54
− 20y
53
+ ··· + 2341y + 625
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.513264 + 0.851420I
a = 1.292820 + 0.192167I
b = −1.40319 + 0.42051I
2.40516 − 2.00233I 0
u = 0.513264 − 0.851420I
a = 1.292820 − 0.192167I
b = −1.40319 − 0.42051I
2.40516 + 2.00233I 0
u = 0.520338 + 0.842383I
a = 0.850067 + 0.491839I
b = −1.36979 + 1.23055I
1.66717 − 4.10008I 0
u = 0.520338 − 0.842383I
a = 0.850067 − 0.491839I
b = −1.36979 − 1.23055I
1.66717 + 4.10008I 0
u = 0.905335 + 0.358617I
a = −1.147580 + 0.114594I
b = 1.62523 − 0.21126I
−7.24367 + 0.28503I −13.59848 + 0.I
u = 0.905335 − 0.358617I
a = −1.147580 − 0.114594I
b = 1.62523 + 0.21126I
−7.24367 − 0.28503I −13.59848 + 0.I
u = −0.920400 + 0.488314I
a = 0.406915 − 0.270376I
b = −3.12743 − 1.55706I
−5.51858 + 7.77375I 0
u = −0.920400 − 0.488314I
a = 0.406915 + 0.270376I
b = −3.12743 + 1.55706I
−5.51858 − 7.77375I 0
u = 0.847239 + 0.436210I
a = −0.464072 − 1.282730I
b = 0.368635 − 0.318087I
1.61241 − 3.03624I 0
u = 0.847239 − 0.436210I
a = −0.464072 + 1.282730I
b = 0.368635 + 0.318087I
1.61241 + 3.03624I 0
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.307707 + 0.833393I
a = 1.36517 − 0.53263I
b = −1.202610 + 0.435267I
1.69841 − 3.37164I −2.85777 + 1.55400I
u = −0.307707 − 0.833393I
a = 1.36517 + 0.53263I
b = −1.202610 − 0.435267I
1.69841 + 3.37164I −2.85777 − 1.55400I
u = −0.845157 + 0.253248I
a = −1.58494 − 0.56416I
b = 0.932686 − 0.134820I
−5.48624 + 1.19435I −2.00000 − 5.45166I
u = −0.845157 − 0.253248I
a = −1.58494 + 0.56416I
b = 0.932686 + 0.134820I
−5.48624 − 1.19435I −2.00000 + 5.45166I
u = −1.143780 + 0.080707I
a = −0.551587 + 0.709573I
b = 2.36650 − 0.58212I
−2.17626 + 2.28358I 0
u = −1.143780 − 0.080707I
a = −0.551587 − 0.709573I
b = 2.36650 + 0.58212I
−2.17626 − 2.28358I 0
u = −0.785428 + 0.267544I
a = −1.03335 + 1.62154I
b = 0.129745 + 0.230870I
0.57451 + 7.95216I −2.79100 − 4.69254I
u = −0.785428 − 0.267544I
a = −1.03335 − 1.62154I
b = 0.129745 − 0.230870I
0.57451 − 7.95216I −2.79100 + 4.69254I
u = 0.843779 + 0.844916I
a = −0.480044 − 0.639216I
b = 1.051340 − 0.185788I
1.61046 − 3.49589I 0
u = 0.843779 − 0.844916I
a = −0.480044 + 0.639216I
b = 1.051340 + 0.185788I
1.61046 + 3.49589I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.798902 + 0.897914I
a = −0.627733 − 0.144717I
b = 2.29217 − 1.42304I
−6.69034 + 0.65393I 0
u = 0.798902 − 0.897914I
a = −0.627733 + 0.144717I
b = 2.29217 + 1.42304I
−6.69034 − 0.65393I 0
u = −0.766486 + 0.218999I
a = −0.231244 − 1.061100I
b = −1.54496 − 0.66009I
−1.09803 − 1.18802I −41.2107 + 31.8350I
u = −0.766486 − 0.218999I
a = −0.231244 + 1.061100I
b = −1.54496 + 0.66009I
−1.09803 + 1.18802I −41.2107 − 31.8350I
u = 0.701033 + 0.368068I
a = 0.917468 + 0.820643I
b = −1.45447 + 0.14120I
2.75129 − 1.38409I −0.48611 + 4.81272I
u = 0.701033 − 0.368068I
a = 0.917468 − 0.820643I
b = −1.45447 − 0.14120I
2.75129 + 1.38409I −0.48611 − 4.81272I
u = 1.202480 + 0.185419I
a = −0.269522 − 0.755757I
b = 1.80557 − 0.52640I
0.740937 − 0.742057I 0
u = 1.202480 − 0.185419I
a = −0.269522 + 0.755757I
b = 1.80557 + 0.52640I
0.740937 + 0.742057I 0
u = 1.134380 + 0.480878I
a = 0.793331 + 0.273271I
b = −1.60013 + 0.39042I
−0.96727 − 7.37052I 0
u = 1.134380 − 0.480878I
a = 0.793331 − 0.273271I
b = −1.60013 − 0.39042I
−0.96727 + 7.37052I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.180880 + 0.355202I
a = −0.883023 − 0.792969I
b = 1.44896 − 1.21000I
−5.93629 − 9.95696I 0
u = 1.180880 − 0.355202I
a = −0.883023 + 0.792969I
b = 1.44896 + 1.21000I
−5.93629 + 9.95696I 0
u = 0.377090 + 0.614727I
a = −0.54485 − 1.42542I
b = 0.627947 − 0.144354I
1.28831 + 3.08932I 3.51721 − 2.10970I
u = 0.377090 − 0.614727I
a = −0.54485 + 1.42542I
b = 0.627947 + 0.144354I
1.28831 − 3.08932I 3.51721 + 2.10970I
u = −1.285380 + 0.155885I
a = −1.146280 − 0.114113I
b = 0.244928 − 0.009434I
−7.32951 + 0.73051I 0
u = −1.285380 − 0.155885I
a = −1.146280 + 0.114113I
b = 0.244928 + 0.009434I
−7.32951 − 0.73051I 0
u = 1.307960 + 0.241833I
a = −0.835523 + 0.478162I
b = 0.0077967 − 0.0366431I
−8.79510 − 3.05397I 0
u = 1.307960 − 0.241833I
a = −0.835523 − 0.478162I
b = 0.0077967 + 0.0366431I
−8.79510 + 3.05397I 0
u = −1.300590 + 0.351004I
a = −0.663439 + 0.934394I
b = 1.20078 + 1.22527I
−1.92735 + 7.69663I 0
u = −1.300590 − 0.351004I
a = −0.663439 − 0.934394I
b = 1.20078 − 1.22527I
−1.92735 − 7.69663I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.529623 + 0.219189I
a = 0.12929 − 1.99166I
b = −0.414650 − 1.085820I
0.05724 − 2.06956I −8.10093 − 3.92762I
u = −0.529623 − 0.219189I
a = 0.12929 + 1.99166I
b = −0.414650 + 1.085820I
0.05724 + 2.06956I −8.10093 + 3.92762I
u = 1.47300 + 0.18170I
a = −0.053112 + 0.214121I
b = −1.021490 − 0.420576I
−10.79270 − 4.22100I 0
u = 1.47300 − 0.18170I
a = −0.053112 − 0.214121I
b = −1.021490 + 0.420576I
−10.79270 + 4.22100I 0
u = −1.57402 + 0.06312I
a = 0.072567 − 0.276090I
b = 0.239863 + 0.307641I
−7.65036 + 5.68483I 0
u = −1.57402 − 0.06312I
a = 0.072567 + 0.276090I
b = 0.239863 − 0.307641I
−7.65036 − 5.68483I 0
u = −1.65681 + 0.15965I
a = −0.411443 + 0.718033I
b = 1.02338 + 1.45480I
−2.94099 + 5.69409I 0
u = −1.65681 − 0.15965I
a = −0.411443 − 0.718033I
b = 1.02338 − 1.45480I
−2.94099 − 5.69409I 0
u = 0.079752 + 0.173311I
a = 2.44878 + 4.11086I
b = −1.32414 − 0.51916I
−0.97877 + 5.85605I −6.47573 − 5.70957I
u = 0.079752 − 0.173311I
a = 2.44878 − 4.11086I
b = −1.32414 + 0.51916I
−0.97877 − 5.85605I −6.47573 + 5.70957I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.71479 + 0.76883I
a = −0.140529 + 0.242303I
b = 2.07200 + 0.85827I
−6.93734 − 2.60765I 0
u = −1.71479 − 0.76883I
a = −0.140529 − 0.242303I
b = 2.07200 − 0.85827I
−6.93734 + 2.60765I 0
u = 1.94475 + 0.75377I
a = −0.026328 + 0.481634I
b = −0.474679 + 0.860294I
−5.95914 + 4.44953I 0
u = 1.94475 − 0.75377I
a = −0.026328 − 0.481634I
b = −0.474679 − 0.860294I
−5.95914 − 4.44953I 0
31
III. I
u
3
= h−2.83 × 10
11
u
23
− 1.41 × 10
11
u
22
+ · · · + 3.58 × 10
12
b + 1.52 ×
10
12
, −1.25 × 10
12
u
23
− 3.63 × 10
11
u
22
+ · · · + 3.58 × 10
12
a + 7.44 ×
10
12
, u
24
− 6u
22
+ · · · − 11u + 4i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
1
=
0.349148u
23
+ 0.101244u
22
+ ··· + 1.54795u − 2.07732
0.0788848u
23
+ 0.0394912u
22
+ ··· + 1.94085u − 0.425133
a
6
=
−u
−u
3
+ u
a
4
=
−0.210090u
23
− 0.0166354u
22
+ ··· + 0.711291u + 3.36471
−1
a
3
=
−0.210090u
23
− 0.0166354u
22
+ ··· + 0.711291u + 2.36471
−1
a
9
=
−0.210090u
23
− 0.0166354u
22
+ ··· + 0.711291u + 3.36471
−1
a
12
=
0.907446u
23
+ 0.403734u
22
+ ··· + 4.60492u − 6.59575
0.00128654u
23
+ 0.0895527u
22
+ ··· + 0.657372u + 1.06654
a
7
=
−1.15809u
23
− 0.708044u
22
+ ··· − 9.01786u + 4.06432
0.794958u
23
+ 0.308564u
22
+ ··· + 7.00034u − 5.15190
a
2
=
0.985990u
23
+ 0.311762u
22
+ ··· + 10.0275u − 8.70490
−0.0223595u
23
+ 0.0493149u
22
+ ··· + 0.177550u + 0.971459
a
8
=
−0.0673366u
23
− 0.0741766u
22
+ ··· + 1.03385u + 2.93996
−0.195658u
23
+ 0.0276195u
22
+ ··· − 1.52653u − 0.345083
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
592306411436
447779744787
u
23
+
330514764860
447779744787
u
22
+ ··· +
5706913716904
447779744787
u −
8023392787270
447779744787
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
24
+ 2u
22
+ ··· − 11u + 4
c
2
, c
7
u
24
+ 6u
22
+ ··· − 3u + 2
c
3
, c
9
(u − 1)
24
c
5
, c
10
u
24
− 6u
22
+ ··· + 11u + 4
c
6
u
24
+ 2u
22
+ ··· + u + 2
c
8
(u
4
− u
3
+ u
2
+ 1)
6
c
11
u
24
− 2u
22
+ ··· − 7u + 4
c
12
u
24
+ 4u
22
+ ··· + 63u + 22
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
24
+ 4y
23
+ ··· + 143y + 16
c
2
, c
7
y
24
+ 12y
23
+ ··· + 83y + 4
c
3
, c
9
(y −1)
24
c
5
, c
10
y
24
− 12y
23
+ ··· − 17y + 16
c
6
y
24
+ 4y
23
+ ··· − 29y + 4
c
8
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
6
c
11
y
24
− 4y
23
+ ··· − 249y + 16
c
12
y
24
+ 8y
23
+ ··· + 123y + 484
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.566967 + 0.797510I
a = −0.254364 + 1.178600I
b = 0.746620 + 0.184913I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = −0.566967 − 0.797510I
a = −0.254364 − 1.178600I
b = 0.746620 − 0.184913I
0.21101 + 3.16396I −6.17326 − 2.56480I
u = −0.598167 + 0.875289I
a = −0.139230 + 0.358000I
b = 2.33096 + 0.40014I
−6.79074 − 1.41510I −9.82674 + 4.90874I
u = −0.598167 − 0.875289I
a = −0.139230 − 0.358000I
b = 2.33096 − 0.40014I
−6.79074 + 1.41510I −9.82674 − 4.90874I
u = 0.965098 + 0.508059I
a = 0.680988 + 0.833237I
b = −0.75785 + 1.55446I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = 0.965098 − 0.508059I
a = 0.680988 − 0.833237I
b = −0.75785 − 1.55446I
0.21101 + 3.16396I −6.17326 − 2.56480I
u = −0.838278 + 0.736657I
a = −0.269328 + 0.917006I
b = 0.690209 + 0.153755I
0.21101 + 3.16396I −6.17326 − 2.56480I
u = −0.838278 − 0.736657I
a = −0.269328 − 0.917006I
b = 0.690209 − 0.153755I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = 1.098340 + 0.200791I
a = −0.152688 − 1.383980I
b = 0.033168 − 1.355480I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = 1.098340 − 0.200791I
a = −0.152688 + 1.383980I
b = 0.033168 + 1.355480I
0.21101 + 3.16396I −6.17326 − 2.56480I
35
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.207080 + 0.155647I
a = −1.196280 − 0.104376I
b = 0.145957 − 0.100571I
−6.79074 + 1.41510I −9.82674 − 4.90874I
u = −1.207080 − 0.155647I
a = −1.196280 + 0.104376I
b = 0.145957 + 0.100571I
−6.79074 − 1.41510I −9.82674 + 4.90874I
u = 1.241040 + 0.328127I
a = −0.826955 − 0.629031I
b = 1.22692 − 1.17406I
−6.79074 − 1.41510I −9.82674 + 4.90874I
u = 1.241040 − 0.328127I
a = −0.826955 + 0.629031I
b = 1.22692 + 1.17406I
−6.79074 + 1.41510I −9.82674 − 4.90874I
u = −1.399590 + 0.038848I
a = −0.806035 + 0.188058I
b = 0.342008 + 0.055209I
−6.79074 + 1.41510I −9.82674 − 4.90874I
u = −1.399590 − 0.038848I
a = −0.806035 − 0.188058I
b = 0.342008 − 0.055209I
−6.79074 − 1.41510I −9.82674 + 4.90874I
u = −0.74864 + 1.21082I
a = 0.286192 − 0.472824I
b = −1.51561 − 0.41628I
0.21101 + 3.16396I −6.17326 − 2.56480I
u = −0.74864 − 1.21082I
a = 0.286192 + 0.472824I
b = −1.51561 + 0.41628I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = 0.534164 + 0.138697I
a = −1.94599 + 0.92781I
b = 1.243940 + 0.359071I
−6.79074 − 1.41510I −9.82674 + 4.90874I
u = 0.534164 − 0.138697I
a = −1.94599 − 0.92781I
b = 1.243940 − 0.359071I
−6.79074 + 1.41510I −9.82674 − 4.90874I
36
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.090441 + 0.441116I
a = 2.42885 − 0.73333I
b = −0.793466 + 0.656134I
0.21101 − 3.16396I −6.17326 + 2.56480I
u = 0.090441 − 0.441116I
a = 2.42885 + 0.73333I
b = −0.793466 − 0.656134I
0.21101 + 3.16396I −6.17326 − 2.56480I
u = 1.42963 + 1.14762I
a = −0.430153 − 0.219592I
b = 2.30715 − 1.97161I
−6.79074 + 1.41510I −9.82674 − 4.90874I
u = 1.42963 − 1.14762I
a = −0.430153 + 0.219592I
b = 2.30715 + 1.97161I
−6.79074 − 1.41510I −9.82674 + 4.90874I
37
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
+ 2u
22
+ ··· − 11u + 4)(u
54
− 7u
53
+ ··· + u + 1)
· (u
151
− 6u
150
+ ··· + 570u + 89)
c
2
(u
24
+ 6u
22
+ ··· − 3u + 2)(u
54
+ 23u
52
+ ··· + u + 1)
· (u
151
+ u
150
+ ··· − 1422u + 995)
c
3
((u − 1)
24
)(u
54
− 11u
52
+ ··· + 2u + 1)
· (u
151
+ 25u
150
+ ··· + 809488384u + 28909568)
c
4
(u
24
+ 2u
22
+ ··· − 11u + 4)(u
54
+ 7u
53
+ ··· − u + 1)
· (u
151
− 6u
150
+ ··· + 570u + 89)
c
5
(u
24
− 6u
22
+ ··· + 11u + 4)(u
54
+ 2u
53
+ ··· + 43u + 11)
· (u
151
− 3u
150
+ ··· − 129350u + 535807)
c
6
(u
24
+ 2u
22
+ ··· + u + 2)(u
54
− 4u
52
+ ··· + 22u + 1)
· (u
151
+ u
150
+ ··· + 13u + 1)
c
7
(u
24
+ 6u
22
+ ··· − 3u + 2)(u
54
+ 23u
52
+ ··· − u + 1)
· (u
151
+ u
150
+ ··· − 1422u + 995)
c
8
((u
4
− u
3
+ u
2
+ 1)
6
)(u
54
+ 6u
53
+ ··· + 11u
2
+ 1)
· (u
151
+ 29u
150
+ ··· − 1060088u − 59168)
c
9
((u − 1)
24
)(u
54
− 11u
52
+ ··· − 2u + 1)
· (u
151
+ 25u
150
+ ··· + 809488384u + 28909568)
c
10
(u
24
− 6u
22
+ ··· + 11u + 4)(u
54
− 2u
53
+ ··· − 43u + 11)
· (u
151
− 3u
150
+ ··· − 129350u + 535807)
c
11
(u
24
− 2u
22
+ ··· − 7u + 4)(u
54
+ 8u
53
+ ··· + 10u + 1)
· (u
151
− 11u
150
+ ··· + 13999u − 2101)
c
12
(u
24
+ 4u
22
+ ··· + 63u + 22)(u
54
− 10u
52
+ ··· + 53u + 25)
· (u
151
− 5u
150
+ ··· + 5134178638u + 454373173)
38
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
24
+ 4y
23
+ ··· + 143y + 16)(y
54
+ 23y
53
+ ··· + 51y + 1)
· (y
151
+ 70y
150
+ ··· + 148680y −7921)
c
2
, c
7
(y
24
+ 12y
23
+ ··· + 83y + 4)(y
54
+ 46y
53
+ ··· + 43y + 1)
· (y
151
+ 109y
150
+ ··· − 58402276y −990025)
c
3
, c
9
((y −1)
24
)(y
54
− 22y
53
+ ··· − 42y + 1)
· (y
151
− 79y
150
+ ··· + 3044650659086336y −835763121946624)
c
5
, c
10
(y
24
− 12y
23
+ ··· − 17y + 16)(y
54
− 50y
53
+ ··· + 1605y + 121)
· (y
151
− 131y
150
+ ··· + 3528966668166y −287089141249)
c
6
(y
24
+ 4y
23
+ ··· − 29y + 4)(y
54
− 8y
53
+ ··· − 172y + 1)
· (y
151
− 9y
150
+ ··· + 91y −1)
c
8
((y
4
+ y
3
+ 3y
2
+ 2y + 1)
6
)(y
54
− 22y
53
+ ··· + 22y + 1)
· (y
151
− y
150
+ ··· − 239762712768y −3500852224)
c
11
(y
24
− 4y
23
+ ··· − 249y + 16)(y
54
− 32y
53
+ ··· − 44y + 1)
· (y
151
− 49y
150
+ ··· + 489292611y −4414201)
c
12
(y
24
+ 8y
23
+ ··· + 123y + 484)(y
54
− 20y
53
+ ··· + 2341y + 625)
· (y
151
+ 11y
150
+ ··· − 6.12 × 10
18
y −2.06 × 10
17
)
39
