12a
0626
(K12a
0626
)
A knot diagram
1
Linearized knot diagam
3 7 10 8 12 2 11 5 6 1 9 4
Solving Sequence
3,10 4,7
2 1 11 8 6 9 12 5
c
3
c
2
c
1
c
10
c
7
c
6
c
9
c
12
c
5
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h7.86533 × 10
2128
u
183
+ 1.64102 × 10
2128
u
182
+ ··· + 3.32893 × 10
2127
b − 3.58156 × 10
2129
,
− 4.72797 × 10
2128
u
183
− 2.22168 × 10
2128
u
182
+ ··· + 3.32893 × 10
2127
a + 8.93000 × 10
2128
,
u
184
− 7u
182
+ ··· − 48u + 1i
I
u
2
= h2.34982 × 10
43
u
36
+ 3.52408 × 10
43
u
35
+ ··· + 1.78735 × 10
44
b + 4.37471 × 10
44
,
5.61215 × 10
42
u
36
− 9.92149 × 10
43
u
35
+ ··· + 1.78735 × 10
44
a − 4.60729 × 10
44
, u
37
− u
36
+ ··· + 4u − 1i
I
u
3
= hb − 1, u
2
+ a − u, u
3
− u
2
+ 1i
I
u
4
= hb − 1, a, u + 1i
* 4 irreducible components of dim
C
= 0, with total 225 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
= h7.87 × 10
2128
u
183
+ 1.64 × 10
2128
u
182
+ · · · + 3.33 × 10
2127
b − 3.58 ×
10
2129
, −4.73 × 10
2128
u
183
− 2.22 × 10
2128
u
182
+ · · · + 3.33 × 10
2127
a +
8.93 × 10
2128
, u
184
− 7u
182
+ · · · − 48u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
7
=
14.2027u
183
+ 6.67387u
182
+ ··· − 351.805u − 26.8254
−23.6272u
183
− 4.92958u
182
+ ··· − 4642.15u + 107.589
a
2
=
143.075u
183
+ 20.7496u
182
+ ··· + 37462.1u − 850.706
45.1284u
183
+ 8.48457u
182
+ ··· + 10158.6u − 236.205
a
1
=
188.203u
183
+ 29.2342u
182
+ ··· + 47620.7u − 1086.91
45.1284u
183
+ 8.48457u
182
+ ··· + 10158.6u − 236.205
a
11
=
90.7028u
183
+ 29.7949u
182
+ ··· − 4152.37u + 205.620
44.6146u
183
+ 7.83308u
182
+ ··· + 11173.8u − 266.852
a
8
=
−23.7361u
183
− 12.8653u
182
+ ··· + 12346.1u − 382.439
−37.5927u
183
− 6.74894u
182
+ ··· − 9175.95u + 218.649
a
6
=
199.095u
183
+ 36.6781u
182
+ ··· + 52161.6u − 1312.22
21.0295u
183
+ 3.87033u
182
+ ··· + 4688.83u − 107.085
a
9
=
117.596u
183
+ 34.8904u
182
+ ··· − 1564.59u + 215.030
62.2326u
183
+ 11.7051u
182
+ ··· + 14455.2u − 343.796
a
12
=
147.569u
183
+ 21.4774u
182
+ ··· + 38677.1u − 879.940
43.6597u
183
+ 8.20677u
182
+ ··· + 9826.91u − 228.448
a
5
=
42.6808u
183
+ 13.3291u
182
+ ··· + 3411.97u − 97.3779
−1.28583u
183
− 0.690805u
182
+ ··· + 459.419u − 12.9308
(ii) Obstruction class = −1
(iii) Cusp Shapes = −155.803u
183
− 28.2047u
182
+ ··· − 37929.8u + 907.606
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
184
+ 79u
183
+ ··· + 66u + 1
c
2
, c
6
u
184
− 3u
183
+ ··· − 4u − 1
c
3
u
184
− 7u
182
+ ··· − 48u + 1
c
4
, c
8
u
184
− 59u
182
+ ··· + 22892u + 12427
c
5
u
184
− 3u
183
+ ··· − 116u + 8
c
7
u
184
− 3u
183
+ ··· − 12361749u + 6342353
c
9
u
184
+ 5u
183
+ ··· + 295470856u − 528012557
c
10
u
184
+ 13u
183
+ ··· + 40u − 1
c
11
u
184
+ 15u
183
+ ··· − 15u + 25
c
12
u
184
+ 15u
183
+ ··· + 30582126u + 2950777
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
184
+ 61y
183
+ ··· + 1678y + 1
c
2
, c
6
y
184
− 79y
183
+ ··· − 66y + 1
c
3
y
184
− 14y
183
+ ··· − 68y + 1
c
4
, c
8
y
184
− 118y
183
+ ··· − 10917315406y + 154430329
c
5
y
184
+ y
183
+ ··· − 3536y + 64
c
7
y
184
− 45y
183
+ ··· − 873004298058573y + 40225441576609
c
9
y
184
− 75y
183
+ ··· − 1.97 × 10
19
y + 2.79 × 10
17
c
10
y
184
+ y
183
+ ··· + 34y + 1
c
11
y
184
+ 7y
183
+ ··· − 68925y + 625
c
12
y
184
+ 69y
183
+ ··· + 251263698396808y + 8707084903729
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.988796 + 0.151009I
a = −0.123078 − 0.275216I
b = 1.086630 + 0.123254I
−1.64795 + 0.01014I 0
u = −0.988796 − 0.151009I
a = −0.123078 + 0.275216I
b = 1.086630 − 0.123254I
−1.64795 − 0.01014I 0
u = 0.148896 + 0.988387I
a = 0.20037 + 2.37336I
b = −0.805346 − 0.421075I
−1.96495 − 1.26789I 0
u = 0.148896 − 0.988387I
a = 0.20037 − 2.37336I
b = −0.805346 + 0.421075I
−1.96495 + 1.26789I 0
u = −0.993627 + 0.177595I
a = 0.490822 + 0.089141I
b = 0.657938 + 0.218229I
−1.48461 + 0.05604I 0
u = −0.993627 − 0.177595I
a = 0.490822 − 0.089141I
b = 0.657938 − 0.218229I
−1.48461 − 0.05604I 0
u = −0.767288 + 0.673975I
a = −0.817072 − 0.214175I
b = 0.268200 − 0.069839I
−0.92285 + 3.03118I 0
u = −0.767288 − 0.673975I
a = −0.817072 + 0.214175I
b = 0.268200 + 0.069839I
−0.92285 − 3.03118I 0
u = 0.644715 + 0.723596I
a = −0.20569 + 1.56336I
b = −1.165230 − 0.656934I
−1.50318 − 8.74117I 0
u = 0.644715 − 0.723596I
a = −0.20569 − 1.56336I
b = −1.165230 + 0.656934I
−1.50318 + 8.74117I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.979304 + 0.332875I
a = 0.737503 + 0.966815I
b = 0.988373 + 0.350195I
−1.79371 + 5.24195I 0
u = −0.979304 − 0.332875I
a = 0.737503 − 0.966815I
b = 0.988373 − 0.350195I
−1.79371 − 5.24195I 0
u = 0.928414 + 0.200321I
a = −1.59659 − 0.19661I
b = −0.947327 − 0.369105I
−3.80906 − 3.52196I 0
u = 0.928414 − 0.200321I
a = −1.59659 + 0.19661I
b = −0.947327 + 0.369105I
−3.80906 + 3.52196I 0
u = −0.809600 + 0.680889I
a = 0.384132 + 0.730998I
b = −0.418408 − 0.936783I
0.32628 + 3.28163I 0
u = −0.809600 − 0.680889I
a = 0.384132 − 0.730998I
b = −0.418408 + 0.936783I
0.32628 − 3.28163I 0
u = 0.605967 + 0.870951I
a = −0.018067 − 1.244780I
b = 0.116387 + 0.868823I
2.64975 − 4.01921I 0
u = 0.605967 − 0.870951I
a = −0.018067 + 1.244780I
b = 0.116387 − 0.868823I
2.64975 + 4.01921I 0
u = 0.366462 + 0.843695I
a = 0.653044 − 1.222880I
b = −0.596664 + 0.701241I
2.84886 + 0.00272I 0
u = 0.366462 − 0.843695I
a = 0.653044 + 1.222880I
b = −0.596664 − 0.701241I
2.84886 − 0.00272I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.699561 + 0.827120I
a = 0.91193 + 2.11073I
b = 1.005720 − 0.639870I
3.87100 + 11.85910I 0
u = −0.699561 − 0.827120I
a = 0.91193 − 2.11073I
b = 1.005720 + 0.639870I
3.87100 − 11.85910I 0
u = 1.052930 + 0.255822I
a = −0.654819 − 0.313006I
b = −1.198340 − 0.031092I
−5.54921 − 3.55445I 0
u = 1.052930 − 0.255822I
a = −0.654819 + 0.313006I
b = −1.198340 + 0.031092I
−5.54921 + 3.55445I 0
u = 0.888043 + 0.217629I
a = 1.220600 + 0.097137I
b = 1.082100 + 0.417541I
−2.32112 − 6.87988I 0
u = 0.888043 − 0.217629I
a = 1.220600 − 0.097137I
b = 1.082100 − 0.417541I
−2.32112 + 6.87988I 0
u = 0.546999 + 0.940381I
a = 0.903420 − 0.953240I
b = −0.595553 + 0.756202I
2.90265 − 0.21493I 0
u = 0.546999 − 0.940381I
a = 0.903420 + 0.953240I
b = −0.595553 − 0.756202I
2.90265 + 0.21493I 0
u = 0.817498 + 0.731479I
a = −0.265860 + 1.341890I
b = 0.081161 − 0.318220I
−2.73921 + 2.06070I 0
u = 0.817498 − 0.731479I
a = −0.265860 − 1.341890I
b = 0.081161 + 0.318220I
−2.73921 − 2.06070I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.800089 + 0.417080I
a = −0.02237 − 1.55738I
b = −0.922984 − 0.399840I
−3.86517 + 0.54090I 0
u = −0.800089 − 0.417080I
a = −0.02237 + 1.55738I
b = −0.922984 + 0.399840I
−3.86517 − 0.54090I 0
u = 0.884671 + 0.165116I
a = 0.428900 + 0.168466I
b = 1.306710 − 0.028320I
−6.09985 − 0.31423I 0
u = 0.884671 − 0.165116I
a = 0.428900 − 0.168466I
b = 1.306710 + 0.028320I
−6.09985 + 0.31423I 0
u = 0.791100 + 0.396311I
a = 0.76895 − 1.31796I
b = −0.116475 − 0.128008I
0.59351 + 7.58137I 0
u = 0.791100 − 0.396311I
a = 0.76895 + 1.31796I
b = −0.116475 + 0.128008I
0.59351 − 7.58137I 0
u = −0.225789 + 0.832772I
a = −0.28666 − 1.58106I
b = −0.751134 + 0.629681I
3.31513 + 0.13206I 0
u = −0.225789 − 0.832772I
a = −0.28666 + 1.58106I
b = −0.751134 − 0.629681I
3.31513 − 0.13206I 0
u = 0.610002 + 0.961286I
a = −1.125400 + 0.512298I
b = 0.624395 − 0.740317I
5.02536 − 6.59589I 0
u = 0.610002 − 0.961286I
a = −1.125400 − 0.512298I
b = 0.624395 + 0.740317I
5.02536 + 6.59589I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.836010 + 0.206117I
a = 0.688519 + 0.174392I
b = 0.282847 + 0.028212I
−1.46001 + 0.11234I 0
u = −0.836010 − 0.206117I
a = 0.688519 − 0.174392I
b = 0.282847 − 0.028212I
−1.46001 − 0.11234I 0
u = −0.206240 + 1.135670I
a = −0.271797 − 0.934312I
b = 0.304957 + 0.915768I
5.90118 + 6.01032I 0
u = −0.206240 − 1.135670I
a = −0.271797 + 0.934312I
b = 0.304957 − 0.915768I
5.90118 − 6.01032I 0
u = 0.819430 + 0.164630I
a = 0.024107 − 1.186860I
b = −0.562324 + 0.794669I
2.35368 − 2.23949I 0
u = 0.819430 − 0.164630I
a = 0.024107 + 1.186860I
b = −0.562324 − 0.794669I
2.35368 + 2.23949I 0
u = −0.644932 + 0.971777I
a = 0.06540 − 1.66131I
b = −1.013040 + 0.616866I
1.59880 + 5.08361I 0
u = −0.644932 − 0.971777I
a = 0.06540 + 1.66131I
b = −1.013040 − 0.616866I
1.59880 − 5.08361I 0
u = −0.680805 + 0.951612I
a = −0.28340 − 1.99588I
b = −1.017460 + 0.646352I
1.63829 + 5.53928I 0
u = −0.680805 − 0.951612I
a = −0.28340 + 1.99588I
b = −1.017460 − 0.646352I
1.63829 − 5.53928I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.146400 + 0.238171I
a = 0.679781 + 0.079006I
b = 0.997314 − 0.489322I
−2.81614 + 3.74126I 0
u = 1.146400 − 0.238171I
a = 0.679781 − 0.079006I
b = 0.997314 + 0.489322I
−2.81614 − 3.74126I 0
u = −0.237276 + 1.160650I
a = 0.617156 − 0.614446I
b = −0.683102 + 0.461759I
2.89008 + 4.52282I 0
u = −0.237276 − 1.160650I
a = 0.617156 + 0.614446I
b = −0.683102 − 0.461759I
2.89008 − 4.52282I 0
u = 0.239699 + 1.181420I
a = −0.086171 + 1.174800I
b = 0.658187 − 0.787100I
3.51167 + 0.15515I 0
u = 0.239699 − 1.181420I
a = −0.086171 − 1.174800I
b = 0.658187 + 0.787100I
3.51167 − 0.15515I 0
u = 0.621187 + 0.486178I
a = −0.24085 + 2.92636I
b = −0.972251 − 0.391998I
−3.48361 − 2.08740I 0
u = 0.621187 − 0.486178I
a = −0.24085 − 2.92636I
b = −0.972251 + 0.391998I
−3.48361 + 2.08740I 0
u = −0.010233 + 1.218620I
a = 0.637640 − 0.769827I
b = −0.853997 + 0.571053I
3.03021 + 4.63784I 0
u = −0.010233 − 1.218620I
a = 0.637640 + 0.769827I
b = −0.853997 − 0.571053I
3.03021 − 4.63784I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.915152 + 0.806829I
a = 0.396078 + 0.567429I
b = 1.228310 − 0.243811I
−3.89959 − 3.03826I 0
u = 0.915152 − 0.806829I
a = 0.396078 − 0.567429I
b = 1.228310 + 0.243811I
−3.89959 + 3.03826I 0
u = −0.738444 + 0.986074I
a = 0.52162 + 1.53264I
b = 0.992293 − 0.651252I
7.00532 + 2.40995I 0
u = −0.738444 − 0.986074I
a = 0.52162 − 1.53264I
b = 0.992293 + 0.651252I
7.00532 − 2.40995I 0
u = 0.490626 + 1.137570I
a = −0.638821 + 0.671041I
b = 0.639745 − 0.749087I
8.06893 + 2.90952I 0
u = 0.490626 − 1.137570I
a = −0.638821 − 0.671041I
b = 0.639745 + 0.749087I
8.06893 − 2.90952I 0
u = −0.608705 + 0.456085I
a = 0.012049 + 1.135360I
b = 1.213310 − 0.620356I
−3.48102 + 2.76325I 0
u = −0.608705 − 0.456085I
a = 0.012049 − 1.135360I
b = 1.213310 + 0.620356I
−3.48102 − 2.76325I 0
u = −0.120210 + 0.742461I
a = −0.067714 − 0.947759I
b = −1.289460 + 0.424798I
0.95584 − 1.90857I 0
u = −0.120210 − 0.742461I
a = −0.067714 + 0.947759I
b = −1.289460 − 0.424798I
0.95584 + 1.90857I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.072180 + 0.651798I
a = 0.241556 − 0.100444I
b = 1.303820 + 0.028731I
−4.34400 + 12.61830I 0
u = −1.072180 − 0.651798I
a = 0.241556 + 0.100444I
b = 1.303820 − 0.028731I
−4.34400 − 12.61830I 0
u = −0.535290 + 0.515973I
a = 0.186309 + 0.165691I
b = 0.096573 + 0.756436I
0.70702 + 2.88973I 0
u = −0.535290 − 0.515973I
a = 0.186309 − 0.165691I
b = 0.096573 − 0.756436I
0.70702 − 2.88973I 0
u = −1.25758
a = −0.239948
b = 1.34959
−2.30073 0
u = −1.119740 + 0.604025I
a = −0.183593 + 0.024877I
b = −1.287730 − 0.022879I
−8.21160 + 6.57180I 0
u = −1.119740 − 0.604025I
a = −0.183593 − 0.024877I
b = −1.287730 + 0.022879I
−8.21160 − 6.57180I 0
u = 0.497512 + 1.177230I
a = 0.093685 − 1.291900I
b = 1.192750 + 0.628651I
3.24511 − 11.66680I 0
u = 0.497512 − 1.177230I
a = 0.093685 + 1.291900I
b = 1.192750 − 0.628651I
3.24511 + 11.66680I 0
u = 1.025210 + 0.773394I
a = −0.354355 + 1.364630I
b = −1.150710 − 0.654347I
−1.91027 − 9.07572I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.025210 − 0.773394I
a = −0.354355 − 1.364630I
b = −1.150710 + 0.654347I
−1.91027 + 9.07572I 0
u = 0.683652 + 0.123417I
a = 1.03402 − 2.90910I
b = 0.956229 + 0.371239I
−2.58461 + 0.57570I 0
u = 0.683652 − 0.123417I
a = 1.03402 + 2.90910I
b = 0.956229 − 0.371239I
−2.58461 − 0.57570I 0
u = −1.254780 + 0.403077I
a = −0.003847 − 1.115490I
b = −1.089030 + 0.666055I
0.73727 + 7.82190I 0
u = −1.254780 − 0.403077I
a = −0.003847 + 1.115490I
b = −1.089030 − 0.666055I
0.73727 − 7.82190I 0
u = −0.539808 + 0.399048I
a = −0.379461 − 0.019512I
b = 0.178352 − 0.753086I
−0.417406 + 1.227370I 0
u = −0.539808 − 0.399048I
a = −0.379461 + 0.019512I
b = 0.178352 + 0.753086I
−0.417406 − 1.227370I 0
u = 0.342939 + 0.556689I
a = 0.687706 + 0.922412I
b = −0.648194 − 1.004410I
3.17591 − 10.18350I 0
u = 0.342939 − 0.556689I
a = 0.687706 − 0.922412I
b = −0.648194 + 1.004410I
3.17591 + 10.18350I 0
u = −1.108430 + 0.773328I
a = −0.273605 − 0.738251I
b = 0.521586 + 0.922379I
1.09909 + 5.49407I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.108430 − 0.773328I
a = −0.273605 + 0.738251I
b = 0.521586 − 0.922379I
1.09909 − 5.49407I 0
u = −0.281449 + 0.559280I
a = 0.585901 + 0.960879I
b = −0.353996 − 0.980175I
0.91017 + 2.86934I 0
u = −0.281449 − 0.559280I
a = 0.585901 − 0.960879I
b = −0.353996 + 0.980175I
0.91017 − 2.86934I 0
u = −0.260479 + 0.568461I
a = −0.311477 + 0.124225I
b = 0.425433 − 0.588214I
−0.37471 + 1.71454I 0
u = −0.260479 − 0.568461I
a = −0.311477 − 0.124225I
b = 0.425433 + 0.588214I
−0.37471 − 1.71454I 0
u = 0.880312 + 1.059780I
a = 0.336343 − 1.165360I
b = −0.433432 + 0.902761I
4.03476 − 3.04387I 0
u = 0.880312 − 1.059780I
a = 0.336343 + 1.165360I
b = −0.433432 − 0.902761I
4.03476 + 3.04387I 0
u = −0.813629 + 1.130090I
a = −0.606104 − 1.010740I
b = 0.542380 + 0.472377I
−0.71156 + 3.14102I 0
u = −0.813629 − 1.130090I
a = −0.606104 + 1.010740I
b = 0.542380 − 0.472377I
−0.71156 − 3.14102I 0
u = 1.387230 + 0.121546I
a = −0.865615 + 0.428800I
b = −0.975700 − 0.510418I
−1.72289 − 6.12866I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.387230 − 0.121546I
a = −0.865615 − 0.428800I
b = −0.975700 + 0.510418I
−1.72289 + 6.12866I 0
u = 0.360688 + 1.365190I
a = 0.61075 + 1.63929I
b = −0.945929 − 0.475034I
−2.53110 − 2.43457I 0
u = 0.360688 − 1.365190I
a = 0.61075 − 1.63929I
b = −0.945929 + 0.475034I
−2.53110 + 2.43457I 0
u = 1.23655 + 0.68999I
a = −0.445890 − 0.555857I
b = −1.128960 + 0.249527I
−4.68589 − 1.23069I 0
u = 1.23655 − 0.68999I
a = −0.445890 + 0.555857I
b = −1.128960 − 0.249527I
−4.68589 + 1.23069I 0
u = −1.31683 + 0.53128I
a = −0.0324007 − 0.0221686I
b = −0.699072 − 0.424456I
−0.74924 + 2.14358I 0
u = −1.31683 − 0.53128I
a = −0.0324007 + 0.0221686I
b = −0.699072 + 0.424456I
−0.74924 − 2.14358I 0
u = −0.438904 + 0.368882I
a = 0.72685 − 4.56937I
b = −1.004780 + 0.502679I
−0.83418 + 11.24550I 0
u = −0.438904 − 0.368882I
a = 0.72685 + 4.56937I
b = −1.004780 − 0.502679I
−0.83418 − 11.24550I 0
u = −0.57192 + 1.30743I
a = −0.236393 + 1.186260I
b = 0.994679 − 0.674120I
2.48195 + 5.34945I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.57192 − 1.30743I
a = −0.236393 − 1.186260I
b = 0.994679 + 0.674120I
2.48195 − 5.34945I 0
u = −1.24835 + 0.74219I
a = 0.108765 + 0.454461I
b = 1.158560 − 0.091464I
−3.16155 − 0.44909I 0
u = −1.24835 − 0.74219I
a = 0.108765 − 0.454461I
b = 1.158560 + 0.091464I
−3.16155 + 0.44909I 0
u = 0.98711 + 1.08910I
a = −0.472139 + 0.981529I
b = 0.454621 − 0.922140I
−1.77747 − 9.27599I 0
u = 0.98711 − 1.08910I
a = −0.472139 − 0.981529I
b = 0.454621 + 0.922140I
−1.77747 + 9.27599I 0
u = 0.301571 + 0.428403I
a = −1.20118 − 2.04624I
b = −0.668624 + 0.270674I
2.55386 − 1.66933I 0
u = 0.301571 − 0.428403I
a = −1.20118 + 2.04624I
b = −0.668624 − 0.270674I
2.55386 + 1.66933I 0
u = −0.86454 + 1.19792I
a = 0.325867 + 0.770542I
b = −0.324630 − 0.810144I
0.99388 + 6.23929I 0
u = −0.86454 − 1.19792I
a = 0.325867 − 0.770542I
b = −0.324630 + 0.810144I
0.99388 − 6.23929I 0
u = −1.00289 + 1.09990I
a = −0.378214 − 0.812301I
b = 0.426666 + 0.707247I
−0.36746 + 3.58388I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00289 − 1.09990I
a = −0.378214 + 0.812301I
b = 0.426666 − 0.707247I
−0.36746 − 3.58388I 0
u = 0.332834 + 0.363179I
a = −0.72225 − 1.32824I
b = 0.676125 + 1.063350I
−0.77286 − 4.04335I 0
u = 0.332834 − 0.363179I
a = −0.72225 + 1.32824I
b = 0.676125 − 1.063350I
−0.77286 + 4.04335I 0
u = 1.02846 + 1.13217I
a = 0.426511 − 0.926706I
b = −0.452781 + 0.933312I
2.1433 − 15.4252I 0
u = 1.02846 − 1.13217I
a = 0.426511 + 0.926706I
b = −0.452781 − 0.933312I
2.1433 + 15.4252I 0
u = −0.017901 + 0.466477I
a = 1.41579 − 0.06132I
b = −0.597394 − 0.828572I
5.17646 + 0.99938I 0
u = −0.017901 − 0.466477I
a = 1.41579 + 0.06132I
b = −0.597394 + 0.828572I
5.17646 − 0.99938I 0
u = −0.212083 + 0.412396I
a = −3.74210 + 3.63347I
b = 0.969796 − 0.514799I
−3.03398 + 5.80931I 0
u = −0.212083 − 0.412396I
a = −3.74210 − 3.63347I
b = 0.969796 + 0.514799I
−3.03398 − 5.80931I 0
u = 0.279681 + 0.369864I
a = −0.54479 − 2.35859I
b = 1.053820 + 0.765802I
−1.08482 − 3.43416I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.279681 − 0.369864I
a = −0.54479 + 2.35859I
b = 1.053820 − 0.765802I
−1.08482 + 3.43416I 0
u = 1.33069 + 0.80219I
a = 0.337800 − 1.225500I
b = 1.119350 + 0.683391I
−0.75834 − 11.39260I 0
u = 1.33069 − 0.80219I
a = 0.337800 + 1.225500I
b = 1.119350 − 0.683391I
−0.75834 + 11.39260I 0
u = 1.11851 + 1.08788I
a = 0.71998 − 1.30628I
b = 0.837907 + 0.509140I
3.20084 − 4.94518I 0
u = 1.11851 − 1.08788I
a = 0.71998 + 1.30628I
b = 0.837907 − 0.509140I
3.20084 + 4.94518I 0
u = −0.407539
a = 2.56128
b = −1.04712
−2.84890 0
u = 1.27648 + 0.95389I
a = 0.131694 + 0.375736I
b = 0.961602 − 0.439045I
−2.68542 + 2.92436I 0
u = 1.27648 − 0.95389I
a = 0.131694 − 0.375736I
b = 0.961602 + 0.439045I
−2.68542 − 2.92436I 0
u = 0.385220 + 0.037548I
a = 2.28147 − 3.32217I
b = 1.044240 + 0.434968I
−3.07025 − 2.76884I 0. + 7.36902I
u = 0.385220 − 0.037548I
a = 2.28147 + 3.32217I
b = 1.044240 − 0.434968I
−3.07025 + 2.76884I 0. − 7.36902I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.76046 + 1.43510I
a = −0.039126 − 1.125220I
b = −1.061600 + 0.372964I
−1.01107 + 7.60721I 0
u = −0.76046 − 1.43510I
a = −0.039126 + 1.125220I
b = −1.061600 − 0.372964I
−1.01107 − 7.60721I 0
u = 0.298337 + 0.173310I
a = −2.43937 + 0.69046I
b = −1.032690 − 0.679616I
3.85876 − 6.62124I 0. + 4.68223I
u = 0.298337 − 0.173310I
a = −2.43937 − 0.69046I
b = −1.032690 + 0.679616I
3.85876 + 6.62124I 0. − 4.68223I
u = 1.09301 + 1.27536I
a = −0.277080 + 1.304140I
b = −1.142580 − 0.592360I
−1.40781 − 11.46770I 0
u = 1.09301 − 1.27536I
a = −0.277080 − 1.304140I
b = −1.142580 + 0.592360I
−1.40781 + 11.46770I 0
u = −1.17504 + 1.21703I
a = 0.10930 + 1.45320I
b = 1.139030 − 0.665679I
−3.8680 + 15.0935I 0
u = −1.17504 − 1.21703I
a = 0.10930 − 1.45320I
b = 1.139030 + 0.665679I
−3.8680 − 15.0935I 0
u = 0.207541 + 0.222058I
a = 3.08169 − 6.32231I
b = −0.647862 − 0.293049I
0.51642 + 7.43137I −4.60261 − 9.03992I
u = 0.207541 − 0.222058I
a = 3.08169 + 6.32231I
b = −0.647862 + 0.293049I
0.51642 − 7.43137I −4.60261 + 9.03992I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.91152 + 1.43800I
a = −0.588910 − 0.531029I
b = 0.876615 + 0.508694I
3.07280 + 0.81190I 0
u = −0.91152 − 1.43800I
a = −0.588910 + 0.531029I
b = 0.876615 − 0.508694I
3.07280 − 0.81190I 0
u = −1.22632 + 1.22678I
a = −0.161769 − 1.401580I
b = −1.144710 + 0.669093I
0.0255 + 21.2864I 0
u = −1.22632 − 1.22678I
a = −0.161769 + 1.401580I
b = −1.144710 − 0.669093I
0.0255 − 21.2864I 0
u = −1.16237 + 1.29323I
a = 0.083458 − 1.361320I
b = −1.137560 + 0.657597I
1.90829 + 8.77699I 0
u = −1.16237 − 1.29323I
a = 0.083458 + 1.361320I
b = −1.137560 − 0.657597I
1.90829 − 8.77699I 0
u = −1.39038 + 1.09574I
a = 0.187401 + 0.912758I
b = −0.700763 − 0.765824I
4.73341 + 4.82948I 0
u = −1.39038 − 1.09574I
a = 0.187401 − 0.912758I
b = −0.700763 + 0.765824I
4.73341 − 4.82948I 0
u = 1.28301 + 1.22519I
a = 0.241323 − 1.334540I
b = 1.090580 + 0.588202I
−2.31465 − 8.58348I 0
u = 1.28301 − 1.22519I
a = 0.241323 + 1.334540I
b = 1.090580 − 0.588202I
−2.31465 + 8.58348I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.188412 + 0.002157I
a = 4.48473 + 1.72593I
b = 0.858402 − 0.658650I
−0.63067 + 2.23967I −3.92196 − 3.80049I
u = 0.188412 − 0.002157I
a = 4.48473 − 1.72593I
b = 0.858402 + 0.658650I
−0.63067 − 2.23967I −3.92196 + 3.80049I
u = 0.0910729 + 0.0819671I
a = −2.09856 + 12.26570I
b = −1.031000 − 0.301255I
−3.02135 − 0.26149I −5.41684 − 3.11966I
u = 0.0910729 − 0.0819671I
a = −2.09856 − 12.26570I
b = −1.031000 + 0.301255I
−3.02135 + 0.26149I −5.41684 + 3.11966I
u = −0.0390914 + 0.1107260I
a = −0.06109 + 2.75504I
b = −1.04914 − 1.10424I
2.03179 + 3.08523I 56.1104 + 12.7397I
u = −0.0390914 − 0.1107260I
a = −0.06109 − 2.75504I
b = −1.04914 + 1.10424I
2.03179 − 3.08523I 56.1104 − 12.7397I
u = 0.0890997 + 0.0504655I
a = −18.7645 + 8.0208I
b = 0.669825 + 0.438834I
−2.05455 + 1.74445I −3.44794 − 6.01763I
u = 0.0890997 − 0.0504655I
a = −18.7645 − 8.0208I
b = 0.669825 − 0.438834I
−2.05455 − 1.74445I −3.44794 + 6.01763I
u = 1.89396 + 0.35196I
a = −0.335746 − 0.756060I
b = −0.875621 + 0.300839I
−3.77338 − 2.00400I 0
u = 1.89396 − 0.35196I
a = −0.335746 + 0.756060I
b = −0.875621 − 0.300839I
−3.77338 + 2.00400I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.27781 + 1.52385I
a = 0.018023 − 1.400540I
b = 1.000310 + 0.545144I
−2.03624 − 7.48362I 0
u = 1.27781 − 1.52385I
a = 0.018023 + 1.400540I
b = 1.000310 − 0.545144I
−2.03624 + 7.48362I 0
u = 1.81012 + 1.06294I
a = −0.115288 + 1.164590I
b = −0.973940 − 0.668176I
3.88314 − 10.26390I 0
u = 1.81012 − 1.06294I
a = −0.115288 − 1.164590I
b = −0.973940 + 0.668176I
3.88314 + 10.26390I 0
u = −0.97104 + 1.92043I
a = −0.141233 + 1.097720I
b = 1.004750 − 0.402363I
−4.92548 + 1.00190I 0
u = −0.97104 − 1.92043I
a = −0.141233 − 1.097720I
b = 1.004750 + 0.402363I
−4.92548 − 1.00190I 0
u = −0.63111 + 2.05812I
a = 0.278344 − 1.107990I
b = −0.950544 + 0.378844I
−0.94070 − 5.38457I 0
u = −0.63111 − 2.05812I
a = 0.278344 + 1.107990I
b = −0.950544 − 0.378844I
−0.94070 + 5.38457I 0
u = 2.01052 + 0.86194I
a = 0.303839 − 0.976859I
b = 0.694806 + 0.418512I
0.89674 + 6.90862I 0
u = 2.01052 − 0.86194I
a = 0.303839 + 0.976859I
b = 0.694806 − 0.418512I
0.89674 − 6.90862I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −2.12675 + 0.99734I
a = 0.038637 + 0.753170I
b = −0.991945 − 0.449472I
−4.68976 − 5.05642I 0
u = −2.12675 − 0.99734I
a = 0.038637 − 0.753170I
b = −0.991945 + 0.449472I
−4.68976 + 5.05642I 0
u = −1.98297 + 1.75795I
a = −0.100013 − 0.767418I
b = 0.975393 + 0.510875I
−0.08797 − 10.89400I 0
u = −1.98297 − 1.75795I
a = −0.100013 + 0.767418I
b = 0.975393 − 0.510875I
−0.08797 + 10.89400I 0
23
II.
I
u
2
= h2.35 × 10
43
u
36
+ 3.52 × 10
43
u
35
+ · · · + 1.79 × 10
44
b + 4.37 × 10
44
, 5.61 ×
10
42
u
36
−9.92×10
43
u
35
+· · ·+1.79×10
44
a−4.61×10
44
, u
37
−u
36
+· · ·+4u−1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
7
=
−0.0313993u
36
+ 0.555095u
35
+ ··· − 4.01365u + 2.57772
−0.131469u
36
− 0.197168u
35
+ ··· + 1.72237u − 2.44760
a
2
=
0.807488u
36
− 0.533551u
35
+ ··· − 2.56367u + 2.50772
−0.773254u
36
+ 0.242483u
35
+ ··· + 5.72149u − 2.80259
a
1
=
0.0342347u
36
− 0.291067u
35
+ ··· + 3.15782u − 0.294871
−0.773254u
36
+ 0.242483u
35
+ ··· + 5.72149u − 2.80259
a
11
=
−0.150908u
36
+ 0.242237u
35
+ ··· − 1.18893u + 0.357611
−0.0989115u
36
+ 0.268243u
35
+ ··· − 0.233715u + 0.782847
a
8
=
−0.0406396u
36
+ 0.469978u
35
+ ··· − 3.93465u + 2.41860
−0.267021u
36
+ 0.282794u
35
+ ··· − 1.16230u − 1.63539
a
6
=
−0.602896u
36
+ 0.694391u
35
+ ··· + 6.99435u + 0.265550
0.0422453u
36
+ 0.211405u
35
+ ··· − 9.76935u − 1.41077
a
9
=
−0.748321u
36
+ 0.547840u
35
+ ··· + 5.59255u − 1.73398
0.730635u
36
− 0.354921u
35
+ ··· − 8.21608u + 2.13639
a
12
=
0.879624u
36
− 0.776669u
35
+ ··· − 1.50210u + 2.25089
−0.877179u
36
+ 0.500926u
35
+ ··· + 5.12773u − 2.44280
a
5
=
1.17272u
36
− 1.26745u
35
+ ··· + 1.02907u + 2.37261
−0.801270u
36
+ 0.682939u
35
+ ··· + 0.143668u − 2.51742
(ii) Obstruction class = 1
(iii) Cusp Shapes = −17.3303u
36
+ 16.2740u
35
+ ··· + 35.6526u − 77.1092
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
37
− 16u
36
+ ··· + 7u − 1
c
2
u
37
+ 2u
36
+ ··· + u − 1
c
3
u
37
− u
36
+ ··· + 4u − 1
c
4
u
37
− u
36
+ ··· + 2u − 1
c
5
u
37
+ 5u
35
+ ··· + 77u − 23
c
6
u
37
− 2u
36
+ ··· + u + 1
c
7
u
37
+ 7u
36
+ ··· + 8u − 1
c
8
u
37
+ u
36
+ ··· + 2u + 1
c
9
u
37
− 13u
35
+ ··· − 7u
2
+ 1
c
10
u
37
− 13u
36
+ ··· − 3u − 1
c
11
u
37
+ 14u
36
+ ··· + u − 1
c
12
u
37
− u
36
+ ··· + u − 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
37
+ 16y
36
+ ··· − 97y −1
c
2
, c
6
y
37
− 16y
36
+ ··· + 7y −1
c
3
y
37
− 13y
36
+ ··· + 26y −1
c
4
, c
8
y
37
− 29y
36
+ ··· + 8y −1
c
5
y
37
+ 10y
36
+ ··· + 2387y −529
c
7
y
37
− 9y
36
+ ··· + 18y −1
c
9
y
37
− 26y
36
+ ··· + 14y −1
c
10
y
37
+ y
36
+ ··· − 5y −1
c
11
y
37
+ 30y
35
+ ··· + 19y −1
c
12
y
37
+ 27y
36
+ ··· − 25y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.919812 + 0.030479I
a = −0.42199 + 1.46792I
b = −0.871478 − 0.718571I
2.09731 − 9.41848I −4.02186 + 9.55609I
u = −0.919812 − 0.030479I
a = −0.42199 − 1.46792I
b = −0.871478 + 0.718571I
2.09731 + 9.41848I −4.02186 − 9.55609I
u = 1.039120 + 0.338133I
a = −0.057474 + 0.427331I
b = −0.961058 + 0.464144I
−3.53432 + 4.79223I −10.03575 − 6.32174I
u = 1.039120 − 0.338133I
a = −0.057474 − 0.427331I
b = −0.961058 − 0.464144I
−3.53432 − 4.79223I −10.03575 + 6.32174I
u = −1.098690 + 0.010456I
a = −1.303030 − 0.038595I
b = −0.787815 − 0.409378I
−2.86852 + 1.16245I −8.40603 + 0.11031I
u = −1.098690 − 0.010456I
a = −1.303030 + 0.038595I
b = −0.787815 + 0.409378I
−2.86852 − 1.16245I −8.40603 − 0.11031I
u = 1.12805
a = −0.247603
b = 1.36934
−2.38884 −47.7450
u = −0.956922 + 0.645432I
a = 0.697090 − 0.159214I
b = −0.817713 − 0.214305I
−1.70387 + 2.35535I −10.93989 − 4.36753I
u = −0.956922 − 0.645432I
a = 0.697090 + 0.159214I
b = −0.817713 + 0.214305I
−1.70387 − 2.35535I −10.93989 + 4.36753I
u = −0.576296 + 1.013920I
a = −0.186533 + 1.161610I
b = 0.257704 − 0.271674I
2.99915 + 3.10489I −0.39538 − 2.42698I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.576296 − 1.013920I
a = −0.186533 − 1.161610I
b = 0.257704 + 0.271674I
2.99915 − 3.10489I −0.39538 + 2.42698I
u = −0.678470 + 0.405459I
a = −0.188382 + 0.152972I
b = −0.024536 − 0.696652I
−0.39909 + 1.79452I −6.29364 − 5.60398I
u = −0.678470 − 0.405459I
a = −0.188382 − 0.152972I
b = −0.024536 + 0.696652I
−0.39909 − 1.79452I −6.29364 + 5.60398I
u = 1.082380 + 0.574961I
a = −0.541485 − 0.629601I
b = −1.167200 + 0.197898I
−4.22610 − 2.39642I −10.13020 + 1.62470I
u = 1.082380 − 0.574961I
a = −0.541485 + 0.629601I
b = −1.167200 − 0.197898I
−4.22610 + 2.39642I −10.13020 − 1.62470I
u = 1.196350 + 0.295267I
a = −0.928064 + 0.745520I
b = −1.021920 − 0.447628I
−2.98879 − 5.27105I −10.43162 + 6.70213I
u = 1.196350 − 0.295267I
a = −0.928064 − 0.745520I
b = −1.021920 + 0.447628I
−2.98879 + 5.27105I −10.43162 − 6.70213I
u = 0.612564 + 0.320466I
a = 0.95614 − 2.33287I
b = 0.993621 + 0.358075I
−3.56205 − 1.13003I −12.10460 + 1.44487I
u = 0.612564 − 0.320466I
a = 0.95614 + 2.33287I
b = 0.993621 − 0.358075I
−3.56205 + 1.13003I −12.10460 − 1.44487I
u = −0.984219 + 0.887136I
a = −0.299380 − 0.689317I
b = 0.438079 + 0.857247I
1.04400 + 4.83398I −4.00000 + 0.I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.984219 − 0.887136I
a = −0.299380 + 0.689317I
b = 0.438079 − 0.857247I
1.04400 − 4.83398I −4.00000 + 0.I
u = −0.896856 + 1.051930I
a = 0.155241 + 1.078320I
b = −0.405477 − 0.777693I
3.47602 + 3.39216I 0. − 7.43706I
u = −0.896856 − 1.051930I
a = 0.155241 − 1.078320I
b = −0.405477 + 0.777693I
3.47602 − 3.39216I 0. + 7.43706I
u = 0.762923 + 1.167780I
a = −0.818113 + 0.837996I
b = 0.978061 − 0.454088I
−0.31930 + 9.85946I 0
u = 0.762923 − 1.167780I
a = −0.818113 − 0.837996I
b = 0.978061 + 0.454088I
−0.31930 − 9.85946I 0
u = 0.230141 + 0.538013I
a = −1.02818 − 2.27774I
b = 1.009320 + 0.379421I
−3.65548 − 1.15307I −11.73149 + 0.77224I
u = 0.230141 − 0.538013I
a = −1.02818 + 2.27774I
b = 1.009320 − 0.379421I
−3.65548 + 1.15307I −11.73149 − 0.77224I
u = 1.16249 + 0.95956I
a = 0.374386 − 1.278950I
b = 1.130730 + 0.628908I
−1.07319 − 10.35110I 0
u = 1.16249 − 0.95956I
a = 0.374386 + 1.278950I
b = 1.130730 − 0.628908I
−1.07319 + 10.35110I 0
u = −1.20265 + 0.92216I
a = 0.72141 + 1.55074I
b = 0.788329 − 0.404714I
0.40085 − 6.30372I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.20265 − 0.92216I
a = 0.72141 − 1.55074I
b = 0.788329 + 0.404714I
0.40085 + 6.30372I 0
u = −0.362447 + 0.305484I
a = −0.63288 + 2.06703I
b = 0.855270 − 0.876001I
−1.00838 + 3.84747I −14.9212 − 11.0451I
u = −0.362447 − 0.305484I
a = −0.63288 − 2.06703I
b = 0.855270 + 0.876001I
−1.00838 − 3.84747I −14.9212 + 11.0451I
u = 1.27645 + 1.14651I
a = 0.011731 + 1.242810I
b = −1.122180 − 0.635948I
1.39270 − 8.79520I 0
u = 1.27645 − 1.14651I
a = 0.011731 − 1.242810I
b = −1.122180 + 0.635948I
1.39270 + 8.79520I 0
u = 0.249933 + 0.117412I
a = 0.613321 − 1.138000I
b = −0.95641 + 1.10225I
1.96400 − 3.12237I −34.9706 + 35.6599I
u = 0.249933 − 0.117412I
a = 0.613321 + 1.138000I
b = −0.95641 − 1.10225I
1.96400 + 3.12237I −34.9706 − 35.6599I
32
III. I
u
3
= hb − 1, u
2
+ a − u, u
3
− u
2
+ 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
7
=
−u
2
+ u
1
a
2
=
u
2
− u + 1
−1
a
1
=
u
2
− u
−1
a
11
=
u
2
− u
u − 1
a
8
=
0
u
a
6
=
1
0
a
9
=
u
u
a
12
=
u
2
− 2u + 1
0
a
5
=
1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −u
2
+ 4u − 16
33
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
c
10
(u − 1)
3
c
3
, c
4
u
3
− u
2
+ 1
c
5
u
3
c
6
(u + 1)
3
c
8
, c
9
u
3
+ u
2
− 1
c
11
u
3
+ 3u
2
+ 2u + 1
c
12
u
3
− 2u
2
+ u − 1
34
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
10
(y −1)
3
c
3
, c
4
, c
8
c
9
y
3
− y
2
+ 2y −1
c
5
y
3
c
11
y
3
− 5y
2
− 2y −1
c
12
y
3
− 2y
2
− 3y −1
35
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.877439 + 0.744862I
a = 0.662359 − 0.562280I
b = 1.00000
−3.28987 −12.70532 + 1.67231I
u = 0.877439 − 0.744862I
a = 0.662359 + 0.562280I
b = 1.00000
−3.28987 −12.70532 − 1.67231I
u = −0.754878
a = −1.32472
b = 1.00000
−3.28987 −19.5890
36
IV. I
u
4
= hb − 1, a, u + 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
−1
a
4
=
1
1
a
7
=
0
1
a
2
=
1
−1
a
1
=
0
−1
a
11
=
0
−1
a
8
=
0
1
a
6
=
1
0
a
9
=
−1
−1
a
12
=
1
0
a
5
=
1
0
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6
37
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
8
c
9
, c
11
, c
12
u + 1
c
5
, c
7
, c
10
u
38
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
8
c
9
, c
11
, c
12
y −1
c
5
, c
7
, c
10
y
39
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 0
b = 1.00000
−1.64493 −6.00000
40
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
3
)(u + 1)(u
37
− 16u
36
+ ··· + 7u − 1)
· (u
184
+ 79u
183
+ ··· + 66u + 1)
c
2
((u − 1)
3
)(u + 1)(u
37
+ 2u
36
+ ··· + u − 1)(u
184
− 3u
183
+ ··· − 4u − 1)
c
3
(u + 1)(u
3
− u
2
+ 1)(u
37
− u
36
+ ··· + 4u − 1)(u
184
− 7u
182
+ ··· − 48u + 1)
c
4
(u + 1)(u
3
− u
2
+ 1)(u
37
− u
36
+ ··· + 2u − 1)
· (u
184
− 59u
182
+ ··· + 22892u + 12427)
c
5
u
4
(u
37
+ 5u
35
+ ··· + 77u − 23)(u
184
− 3u
183
+ ··· − 116u + 8)
c
6
((u + 1)
4
)(u
37
− 2u
36
+ ··· + u + 1)(u
184
− 3u
183
+ ··· − 4u − 1)
c
7
u(u − 1)
3
(u
37
+ 7u
36
+ ··· + 8u − 1)
· (u
184
− 3u
183
+ ··· − 12361749u + 6342353)
c
8
(u + 1)(u
3
+ u
2
− 1)(u
37
+ u
36
+ ··· + 2u + 1)
· (u
184
− 59u
182
+ ··· + 22892u + 12427)
c
9
(u + 1)(u
3
+ u
2
− 1)(u
37
− 13u
35
+ ··· − 7u
2
+ 1)
· (u
184
+ 5u
183
+ ··· + 295470856u − 528012557)
c
10
u(u − 1)
3
(u
37
− 13u
36
+ ··· − 3u − 1)(u
184
+ 13u
183
+ ··· + 40u − 1)
c
11
(u + 1)(u
3
+ 3u
2
+ 2u + 1)(u
37
+ 14u
36
+ ··· + u − 1)
· (u
184
+ 15u
183
+ ··· − 15u + 25)
c
12
(u + 1)(u
3
− 2u
2
+ u − 1)(u
37
− u
36
+ ··· + u − 1)
· (u
184
+ 15u
183
+ ··· + 30582126u + 2950777)
41
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
4
)(y
37
+ 16y
36
+ ··· − 97y −1)(y
184
+ 61y
183
+ ··· + 1678y + 1)
c
2
, c
6
((y −1)
4
)(y
37
− 16y
36
+ ··· + 7y −1)(y
184
− 79y
183
+ ··· − 66y + 1)
c
3
(y −1)(y
3
− y
2
+ 2y −1)(y
37
− 13y
36
+ ··· + 26y −1)
· (y
184
− 14y
183
+ ··· − 68y + 1)
c
4
, c
8
(y −1)(y
3
− y
2
+ 2y −1)(y
37
− 29y
36
+ ··· + 8y −1)
· (y
184
− 118y
183
+ ··· − 10917315406y + 154430329)
c
5
y
4
(y
37
+ 10y
36
+ ··· + 2387y −529)(y
184
+ y
183
+ ··· − 3536y + 64)
c
7
y(y −1)
3
(y
37
− 9y
36
+ ··· + 18y −1)
· (y
184
− 45y
183
+ ··· − 873004298058573y + 40225441576609)
c
9
(y −1)(y
3
− y
2
+ 2y −1)(y
37
− 26y
36
+ ··· + 14y −1)
· (y
184
− 75y
183
+ ··· − 1.97 × 10
19
y + 2.79 × 10
17
)
c
10
y(y −1)
3
(y
37
+ y
36
+ ··· − 5y −1)(y
184
+ y
183
+ ··· + 34y + 1)
c
11
(y −1)(y
3
− 5y
2
− 2y −1)(y
37
+ 30y
35
+ ··· + 19y −1)
· (y
184
+ 7y
183
+ ··· − 68925y + 625)
c
12
(y −1)(y
3
− 2y
2
− 3y −1)(y
37
+ 27y
36
+ ··· − 25y −1)
· (y
184
+ 69y
183
+ ··· + 251263698396808y + 8707084903729)
42
