![](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 = 0.482242 + 0.666986I
7.06362 + 2.21388I 4.24115 − 3.04598I
u = 0.482242 − 0.666986I
7.06362 − 2.21388I 4.24115 + 3.04598I
u = −1.28056
2.83680 1.66670
u = 1.380230 + 0.162431I
5.16280 + 3.41073I 5.88238 − 4.39642I
u = 1.380230 − 0.162431I
5.16280 − 3.41073I 5.88238 + 4.39642I
u = −0.230908 + 0.456719I
0.035384 − 1.109690I 0.55374 + 6.23947I
u = −0.230908 − 0.456719I
0.035384 + 1.109690I 0.55374 − 6.23947I
u = −1.49128 + 0.23430I
13.4612 − 5.5005I 7.48937 + 2.97298I
u = −1.49128 − 0.23430I
13.4612 + 5.5005I 7.48937 − 2.97298I
5