![](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 = 0.866025 + 0.500000I
a = −0.500000 − 0.866025I
b = 1.035230 + 0.557008I
−2.63189 + 2.02988I 2.00000 − 3.46410I
u = 0.866025 + 0.500000I
a = −0.500000 − 0.866025I
b = −0.90126 + 1.67504I
−10.52760 + 2.02988I 2.00000 − 3.46410I
u = 0.866025 − 0.500000I
a = −0.500000 + 0.866025I
b = 1.035230 − 0.557008I
−2.63189 − 2.02988I 2.00000 + 3.46410I
u = 0.866025 − 0.500000I
a = −0.500000 + 0.866025I
b = −0.90126 − 1.67504I
−10.52760 − 2.02988I 2.00000 + 3.46410I
u = −0.866025 + 0.500000I
a = −0.500000 + 0.866025I
b = −0.035233 − 1.175040I
−2.63189 − 2.02988I 2.00000 + 3.46410I
u = −0.866025 + 0.500000I
a = −0.500000 + 0.866025I
b = 1.90126 − 0.05701I
−10.52760 − 2.02988I 2.00000 + 3.46410I
u = −0.866025 − 0.500000I
a = −0.500000 − 0.866025I
b = −0.035233 + 1.175040I
−2.63189 + 2.02988I 2.00000 − 3.46410I
u = −0.866025 − 0.500000I
a = −0.500000 − 0.866025I
b = 1.90126 + 0.05701I
−10.52760 + 2.02988I 2.00000 − 3.46410I
9