![](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 = 0.933085 + 0.407912I
a = 0.221568 − 0.665433I
b = 0.185024 − 1.212340I
−4.23539 − 2.76947I −5.70457 − 0.94630I
u = 0.933085 − 0.407912I
a = 0.221568 + 0.665433I
b = 0.185024 + 1.212340I
−4.23539 + 2.76947I −5.70457 + 0.94630I
u = −0.340511 + 0.973127I
a = 2.81883 − 0.44021I
b = −0.340511 − 0.973127I
9.77424I 0. − 11.74663I
u = −0.340511 − 0.973127I
a = 2.81883 + 0.44021I
b = −0.340511 + 0.973127I
− 9.77424I 0. + 11.74663I
u = −0.908887 + 0.069929I
a = −0.477828 + 0.623256I
b = 0.302700 + 0.834985I
2.02629 + 1.51983I 3.65866 − 2.81426I
u = −0.908887 − 0.069929I
a = −0.477828 − 0.623256I
b = 0.302700 − 0.834985I
2.02629 − 1.51983I 3.65866 + 2.81426I
u = −0.069019 + 0.885914I
a = 0.819102 − 0.967431I
b = −0.27953 + 1.78152I
−1.84829 + 5.92717I 0.866897 − 1.032654I
u = −0.069019 − 0.885914I
a = 0.819102 + 0.967431I
b = −0.27953 − 1.78152I
−1.84829 − 5.92717I 0.866897 + 1.032654I
u = 0.302700 + 0.834985I
a = 1.39394 + 0.57384I
b = −0.908887 + 0.069929I
−2.02629 − 1.51983I −3.65866 + 2.81426I
u = 0.302700 − 0.834985I
a = 1.39394 − 0.57384I
b = −0.908887 − 0.069929I
−2.02629 + 1.51983I −3.65866 − 2.81426I
25