![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.199184 + 0.953331I
1.36988 + 2.68588I 5.85070 − 3.67518I
u = 0.199184 − 0.953331I
1.36988 − 2.68588I 5.85070 + 3.67518I
u = −0.268883 + 0.739769I
1.15989 + 2.73152I 4.80842 − 2.00184I
u = −0.268883 − 0.739769I
1.15989 − 2.73152I 4.80842 + 2.00184I
u = −0.721828 + 0.253446I
2.90434 − 6.51836I 7.49661 + 6.69162I
u = −0.721828 − 0.253446I
2.90434 + 6.51836I 7.49661 − 6.69162I
u = 0.708881 + 0.196468I
3.65968 + 0.90110I 9.44354 − 1.25880I
u = 0.708881 − 0.196468I
3.65968 − 0.90110I 9.44354 + 1.25880I
u = 0.161237 + 1.327480I
−3.39772 + 2.26276I 4.12423 − 3.11409I
u = 0.161237 − 1.327480I
−3.39772 − 2.26276I 4.12423 + 3.11409I
u = −0.520195 + 0.340511I
−2.02154 − 1.59690I 0.86726 + 4.73829I
u = −0.520195 − 0.340511I
−2.02154 + 1.59690I 0.86726 − 4.73829I
u = 0.280467 + 1.374360I
−1.32092 + 4.48385I 4.56586 − 2.47352I
u = 0.280467 − 1.374360I
−1.32092 − 4.48385I 4.56586 + 2.47352I
u = −0.085311 + 1.403890I
−5.14411 + 1.80763I −0.25907 − 2.73625I
u = −0.085311 − 1.403890I
−5.14411 − 1.80763I −0.25907 + 2.73625I
u = −0.20569 + 1.41170I
−7.58755 − 4.29720I −2.75143 + 3.93304I
u = −0.20569 − 1.41170I
−7.58755 + 4.29720I −2.75143 − 3.93304I
u = −0.28719 + 1.40273I
−2.37086 − 10.18330I 2.74618 + 7.21296I
u = −0.28719 − 1.40273I
−2.37086 + 10.18330I 2.74618 − 7.21296I
u = 0.478663
0.823807 12.2150
5