![](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 = 1.09831
a = −2.90176
b = −2.68486
16.8590 −9.91680
u = 0.271970 + 0.836396I
a = 0.514998 − 0.132997I
b = −0.138100 − 0.151060I
−0.50482 + 1.32248I −5.16164 − 4.61817I
u = 0.271970 − 0.836396I
a = 0.514998 + 0.132997I
b = −0.138100 + 0.151060I
−0.50482 − 1.32248I −5.16164 + 4.61817I
u = −0.198501 + 1.220550I
a = −0.186478 + 1.015590I
b = 0.944682 + 1.046670I
−4.38598 − 2.12062I −13.41968 + 2.09452I
u = −0.198501 − 1.220550I
a = −0.186478 − 1.015590I
b = 0.944682 − 1.046670I
−4.38598 + 2.12062I −13.41968 − 2.09452I
u = 0.55241 + 1.37610I
a = −0.92476 + 1.87326I
b = −2.75351 + 0.38295I
12.57270 + 5.86054I −12.50168 − 2.57970I
u = 0.55241 − 1.37610I
a = −0.92476 − 1.87326I
b = −2.75351 − 0.38295I
12.57270 − 5.86054I −12.50168 + 2.57970I
u = −0.350076
a = 2.09424
b = 0.578712
−0.969109 −9.91720
5