![](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 = 0.266756 + 0.861670I
−2.78433 − 3.76215I −1.09418 + 4.53358I
u = 0.266756 − 0.861670I
−2.78433 + 3.76215I −1.09418 − 4.53358I
u = −0.094119 + 0.885317I
3.49312 + 1.66857I 3.40247 − 4.85811I
u = −0.094119 − 0.885317I
3.49312 − 1.66857I 3.40247 + 4.85811I
u = 0.11360 + 1.44941I
5.02280 − 5.17293I 0.10018 + 3.19792I
u = 0.11360 − 1.44941I
5.02280 + 5.17293I 0.10018 − 3.19792I
u = −0.03738 + 1.46774I
11.53240 + 2.15406I 3.63368 − 3.21855I
u = −0.03738 − 1.46774I
11.53240 − 2.15406I 3.63368 + 3.21855I
u = 0.438466 + 0.268135I
−6.29237 − 1.42936I −6.44952 + 4.15175I
u = 0.438466 − 0.268135I
−6.29237 + 1.42936I −6.44952 − 4.15175I
u = −0.206108 + 0.255692I
−0.105962 + 0.719255I −3.55239 − 9.63825I
u = −0.206108 − 0.255692I
−0.105962 − 0.719255I −3.55239 + 9.63825I
u = 0.02776 + 1.85644I
17.5528 − 5.9083I 0.36622 + 2.67952I
u = 0.02776 − 1.85644I
17.5528 + 5.9083I 0.36622 − 2.67952I
u = −0.00897 + 1.86144I
−15.2590 + 2.3986I 3.59355 − 2.68294I
u = −0.00897 − 1.86144I
−15.2590 − 2.3986I 3.59355 + 2.68294I
5