![](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 = −0.584958 + 0.771492I
4.93719 − 2.31006I 0.86369 + 3.52133I
u = −0.584958 − 0.771492I
4.93719 + 2.31006I 0.86369 − 3.52133I
u = 0.248527 + 0.782547I
−0.448055 + 1.231690I −4.90177 − 5.44908I
u = 0.248527 − 0.782547I
−0.448055 − 1.231690I −4.90177 + 5.44908I
u = 0.761643 + 0.208049I
2.41360 − 3.47839I −0.80497 + 2.79515I
u = 0.761643 − 0.208049I
2.41360 + 3.47839I −0.80497 − 2.79515I
u = −0.449566 + 1.164790I
−4.87665 − 4.14585I −8.98134 + 3.97600I
u = −0.449566 − 1.164790I
−4.87665 + 4.14585I −8.98134 − 3.97600I
u = 0.524355 + 1.163410I
−0.38115 + 8.28632I −4.17560 − 6.14881I
u = 0.524355 − 1.163410I
−0.38115 − 8.28632I −4.17560 + 6.14881I
5