![](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 = 0.961597 + 0.331697I
a = −2.11926 + 0.49208I
b = −1.189900 + 0.171507I
−3.28987 − 1.20211I −12.00000 + 5.63740I
u = 0.961597 − 0.331697I
a = −2.11926 − 0.49208I
b = −1.189900 − 0.171507I
−3.28987 + 1.20211I −12.00000 − 5.63740I
u = −0.778724 + 0.569322I
a = 0.272376 − 0.021441I
b = −0.564477 − 0.633261I
−0.174773 + 0.093609I −10.00912 + 0.76204I
u = −0.778724 − 0.569322I
a = 0.272376 + 0.021441I
b = −0.564477 + 0.633261I
−0.174773 − 0.093609I −10.00912 − 0.76204I
u = −0.285725 + 0.889847I
a = −0.777424 + 0.420961I
b = −1.104540 − 0.597792I
−3.28987 − 7.58818I −12.00000 + 5.13539I
u = −0.285725 − 0.889847I
a = −0.777424 − 0.420961I
b = −1.104540 + 0.597792I
−3.28987 + 7.58818I −12.00000 − 5.13539I
u = 0.384175 + 0.809134I
a = 0.520131 + 0.408228I
b = 0.998981 − 0.600305I
1.84911 + 3.88480I −7.19439 − 4.17140I
u = 0.384175 − 0.809134I
a = 0.520131 − 0.408228I
b = 0.998981 + 0.600305I
1.84911 − 3.88480I −7.19439 + 4.17140I
u = −0.564477 + 0.633261I
a = 0.005650 + 0.310630I
b = −0.778724 − 0.569322I
−0.174773 − 0.093609I −10.00912 − 0.76204I
u = −0.564477 − 0.633261I
a = 0.005650 − 0.310630I
b = −0.778724 + 0.569322I
−0.174773 + 0.093609I −10.00912 + 0.76204I
10