![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.579803 + 0.857238I
a = −1.85524 − 1.12681I
b = 0.03037 − 1.69780I
7.95553 + 2.30219I 0.32022 − 2.86330I
u = 0.579803 − 0.857238I
a = −1.85524 + 1.12681I
b = 0.03037 + 1.69780I
7.95553 − 2.30219I 0.32022 + 2.86330I
u = −0.399913 + 0.875160I
a = −1.65574 + 0.96794I
b = 0.147502 + 0.884325I
−1.26759 − 1.65848I −0.54419 + 4.72916I
u = −0.399913 − 0.875160I
a = −1.65574 − 0.96794I
b = 0.147502 − 0.884325I
−1.26759 + 1.65848I −0.54419 − 4.72916I
u = −0.529162 + 0.802687I
a = 1.204780 − 0.193673I
b = −0.499488 − 0.319159I
0.18031 − 1.62554I −1.42199 + 3.91435I
u = −0.529162 − 0.802687I
a = 1.204780 + 0.193673I
b = −0.499488 + 0.319159I
0.18031 + 1.62554I −1.42199 − 3.91435I
u = −0.848321 + 0.450725I
a = 0.353490 + 0.072972I
b = −0.275765 + 1.061690I
4.47712 + 4.26374I 2.95029 − 4.02329I
u = −0.848321 − 0.450725I
a = 0.353490 − 0.072972I
b = −0.275765 − 1.061690I
4.47712 − 4.26374I 2.95029 + 4.02329I
u = 0.197868 + 1.057100I
a = −1.010600 − 0.780021I
b = 0.337740
−3.92670 −11.69818 + 0.I
u = 0.197868 − 1.057100I
a = −1.010600 + 0.780021I
b = 0.337740
−3.92670 −11.69818 + 0.I
10