![](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 = −0.587478 + 0.786624I
a = 0.240520 − 1.341440I
b = −0.996338 − 0.133497I
−4.36101 − 1.13066I −3.77707 + 1.04050I
u = −0.587478 − 0.786624I
a = 0.240520 + 1.341440I
b = −0.996338 + 0.133497I
−4.36101 + 1.13066I −3.77707 − 1.04050I
u = 0.784719 + 0.727591I
a = −0.014954 + 0.267900I
b = −0.814475 − 0.023459I
−1.03321 − 2.55519I 0. + 3.47308I
u = 0.784719 − 0.727591I
a = −0.014954 − 0.267900I
b = −0.814475 + 0.023459I
−1.03321 + 2.55519I 0. − 3.47308I
u = −0.857688 + 0.043715I
a = 0.82268 − 2.49528I
b = 0.600154 − 0.231146I
−11.54620 + 0.81534I −10.67384 + 3.02586I
u = −0.857688 − 0.043715I
a = 0.82268 + 2.49528I
b = 0.600154 + 0.231146I
−11.54620 − 0.81534I −10.67384 − 3.02586I
u = 0.725133 + 0.331259I
a = 0.42484 + 1.56658I
b = −0.513240 − 0.036488I
−0.90481 − 1.57510I −3.08858 + 5.02134I
u = 0.725133 − 0.331259I
a = 0.42484 − 1.56658I
b = −0.513240 + 0.036488I
−0.90481 + 1.57510I −3.08858 − 5.02134I
u = 0.307246 + 0.727363I
a = −0.0797886 + 0.0873572I
b = 0.789629 + 0.027013I
0.78284 − 1.50580I 1.85337 + 3.47450I
u = 0.307246 − 0.727363I
a = −0.0797886 − 0.0873572I
b = 0.789629 − 0.027013I
0.78284 + 1.50580I 1.85337 − 3.47450I
5