![](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 = −0.500000 + 0.866025I
a = −0.104427 − 1.024660I
b = −0.428243 − 0.664531I
−1.89061 − 2.95419I −0.76561 + 6.31197I
u = −0.500000 + 0.866025I
a = −0.67283 − 1.28640I
b = 1.002190 − 0.295542I
1.89061 − 2.95419I 7.73749 + 4.22314I
u = −0.500000 + 0.866025I
a = −0.160939 − 0.449445I
b = 1.002190 + 0.295542I
1.89061 − 1.10558I 4.53097 + 2.95636I
u = −0.500000 + 0.866025I
a = −0.288082 + 0.269440I
b = −1.073950 − 0.558752I
3.66314I −0.57335 − 1.75283I
u = −0.500000 + 0.866025I
a = 0.67970 + 1.59070I
b = −1.073950 + 0.558752I
− 7.72290I 3.68173 + 7.68692I
u = −0.500000 + 0.866025I
a = 1.04658 + 1.76640I
b = −0.428243 + 0.664531I
−1.89061 − 1.10558I −4.61123 + 3.09109I
u = −0.500000 − 0.866025I
a = −0.104427 + 1.024660I
b = −0.428243 + 0.664531I
−1.89061 + 2.95419I −0.76561 − 6.31197I
u = −0.500000 − 0.866025I
a = −0.67283 + 1.28640I
b = 1.002190 + 0.295542I
1.89061 + 2.95419I 7.73749 − 4.22314I
u = −0.500000 − 0.866025I
a = −0.160939 + 0.449445I
b = 1.002190 − 0.295542I
1.89061 + 1.10558I 4.53097 − 2.95636I
u = −0.500000 − 0.866025I
a = −0.288082 − 0.269440I
b = −1.073950 + 0.558752I
− 3.66314I −0.57335 + 1.75283I
20