![](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 = 0.023100 + 0.900040I
−8.02484 + 3.25615I −3.67133 − 2.40088I
u = 0.023100 − 0.900040I
−8.02484 − 3.25615I −3.67133 + 2.40088I
u = −0.863978
−1.25565 −8.48380
u = −1.093890 + 0.311098I
−3.39978 + 1.10849I −7.51398 − 0.68443I
u = −1.093890 − 0.311098I
−3.39978 − 1.10849I −7.51398 + 0.68443I
u = 0.747479 + 0.391613I
1.24227 − 1.75942I 2.85085 + 5.01461I
u = 0.747479 − 0.391613I
1.24227 + 1.75942I 2.85085 − 5.01461I
u = 1.070290 + 0.443484I
−2.41352 − 5.68434I −4.20490 + 7.47679I
u = 1.070290 − 0.443484I
−2.41352 + 5.68434I −4.20490 − 7.47679I
u = −1.268720 + 0.457284I
−11.97600 + 1.54935I −7.09602 − 0.66420I
u = −1.268720 − 0.457284I
−11.97600 − 1.54935I −7.09602 + 0.66420I
u = 1.260410 + 0.482704I
−11.7871 − 8.1923I −6.69502 + 5.35870I
u = 1.260410 − 0.482704I
−11.7871 + 8.1923I −6.69502 − 5.35870I
u = 0.193328 + 0.557909I
−0.02424 + 1.73642I −0.42769 − 4.08118I
u = 0.193328 − 0.557909I
−0.02424 − 1.73642I −0.42769 + 4.08118I
5