![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 1.001440 + 0.170413I
b = −1.42920 + 0.60080I
0.98010 − 5.45685I 3.77019 + 10.79556I
u = −0.500000 + 0.866025I
a = 0.920317 + 0.321873I
b = −0.505431 − 0.130828I
0.98010 − 2.66268I 3.77019 + 3.06084I
u = −0.500000 + 0.866025I
a = −1.073320 + 0.161507I
b = 1.64121 − 1.09663I
−2.62503 − 11.70310I −1.77019 + 13.43907I
u = −0.500000 + 0.866025I
a = −1.294380 + 0.345375I
b = −0.348905 − 0.259137I
−2.62503 + 3.58361I −1.77019 + 0.41733I
u = −0.500000 + 0.866025I
a = −0.139416 − 0.503130I
b = 0.738909 − 0.636081I
0.98010 − 2.66268I 3.77019 + 3.06084I
u = −0.500000 + 0.866025I
a = −1.23491 − 0.93732I
b = 0.648300 − 0.782062I
0.98010 − 5.45685I 3.77019 + 10.79556I
u = −0.500000 + 0.866025I
a = 0.049967 − 0.431729I
b = −0.348088 + 1.293660I
−2.62503 + 3.58361I −1.77019 + 0.41733I
u = −0.500000 + 0.866025I
a = 1.77032 + 0.87301I
b = −0.396792 + 1.010280I
−2.62503 − 11.70310I −1.77019 + 13.43907I
u = −0.500000 − 0.866025I
a = 1.001440 − 0.170413I
b = −1.42920 − 0.60080I
0.98010 + 5.45685I 3.77019 − 10.79556I
u = −0.500000 − 0.866025I
a = 0.920317 − 0.321873I
b = −0.505431 + 0.130828I
0.98010 + 2.66268I 3.77019 − 3.06084I
18