![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.912810 + 0.341070I
a = 0.50288 + 1.83925I
b = 1.168300 + 0.720176I
1.46999 + 3.11720I 3.21326 − 6.66243I
u = −0.912810 − 0.341070I
a = 0.50288 − 1.83925I
b = 1.168300 − 0.720176I
1.46999 − 3.11720I 3.21326 + 6.66243I
u = 0.950168 + 0.130449I
a = 0.05948 − 3.09238I
b = 0.950168 − 0.130449I
− 0.520528I 0. − 13.01684I
u = 0.950168 − 0.130449I
a = 0.05948 + 3.09238I
b = 0.950168 + 0.130449I
0.520528I 0. + 13.01684I
u = −0.167072 + 1.125400I
a = 0.300048 + 0.121690I
b = −1.190060 + 0.368733I
3.57267 − 4.95181I 3.31278 + 5.61624I
u = −0.167072 − 1.125400I
a = 0.300048 − 0.121690I
b = −1.190060 − 0.368733I
3.57267 + 4.95181I 3.31278 − 5.61624I
u = −1.190060 + 0.368733I
a = −0.385891 + 1.324270I
b = −0.167072 + 1.125400I
−3.57267 + 4.95181I −3.31278 − 5.61624I
u = −1.190060 − 0.368733I
a = −0.385891 − 1.324270I
b = −0.167072 − 1.125400I
−3.57267 − 4.95181I −3.31278 + 5.61624I
u = 1.342100 + 0.135496I
a = −0.083889 − 0.268734I
b = −0.470709 − 0.243089I
−2.59619 − 0.05903I −5.04488 − 1.45254I
u = 1.342100 − 0.135496I
a = −0.083889 + 0.268734I
b = −0.470709 + 0.243089I
−2.59619 + 0.05903I −5.04488 + 1.45254I
5