![](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 = −0.632234 + 0.751660I
a = 0.218508 + 0.245850I
b = 0.32704 + 1.62505I
−0.39243 − 4.63681I −1.88077 + 4.18341I
u = −0.632234 − 0.751660I
a = 0.218508 − 0.245850I
b = 0.32704 − 1.62505I
−0.39243 + 4.63681I −1.88077 − 4.18341I
u = −0.240182 + 0.992004I
a = −0.427547 − 1.235530I
b = 0.343258 − 1.370130I
−7.33272 + 2.80822I −7.40390 − 2.13041I
u = −0.240182 − 0.992004I
a = −0.427547 + 1.235530I
b = 0.343258 + 1.370130I
−7.33272 − 2.80822I −7.40390 + 2.13041I
u = −0.894686 + 0.569518I
a = −0.127345 + 0.599296I
b = −0.028616 + 1.106620I
−0.55675 − 4.59934I 0. + 5.05608I
u = −0.894686 − 0.569518I
a = −0.127345 − 0.599296I
b = −0.028616 − 1.106620I
−0.55675 + 4.59934I 0. − 5.05608I
u = 1.051710 + 0.225311I
a = −0.738220 + 0.292695I
b = −0.53476 + 1.78675I
0.417476 + 0.732604I 0. + 18.1961I
u = 1.051710 − 0.225311I
a = −0.738220 − 0.292695I
b = −0.53476 − 1.78675I
0.417476 − 0.732604I 0. − 18.1961I
u = 0.812872 + 0.282184I
a = 0.357660 − 0.200732I
b = −0.596385 − 0.659961I
1.40575 + 0.47751I 6.55789 + 0.10542I
u = 0.812872 − 0.282184I
a = 0.357660 + 0.200732I
b = −0.596385 + 0.659961I
1.40575 − 0.47751I 6.55789 − 0.10542I
5