![](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 = 1.00000
a = −0.217279 + 0.962736I
b = −0.141484 + 0.739668I
−1.02799 + 2.45442I −0.10038 − 1.90984I
u = 1.00000
a = −0.217279 − 0.962736I
b = −0.141484 − 0.739668I
−1.02799 − 2.45442I −0.10038 + 1.90984I
u = 1.00000
a = 0.038112 + 1.195250I
b = −1.172470 + 0.500383I
1.95319 − 7.08493I 3.23178 + 2.93209I
u = 1.00000
a = 0.038112 − 1.195250I
b = −1.172470 − 0.500383I
1.95319 + 7.08493I 3.23178 − 2.93209I
u = 1.00000
a = −0.121911 + 0.782086I
b = 1.173910 + 0.391555I
2.72642 + 1.33617I 6.61905 − 0.64999I
u = 1.00000
a = −0.121911 − 0.782086I
b = 1.173910 − 0.391555I
2.72642 − 1.33617I 6.61905 + 0.64999I
u = 1.00000
a = 0.106533
b = 0.825933
−0.446489 1.84400
u = 1.00000
a = −3.25219 + 0.42284I
b = −0.772920 − 0.510351I
−3.42837 + 2.09337I −12.6725 − 14.2088I
u = 1.00000
a = −3.25219 − 0.42284I
b = −0.772920 + 0.510351I
−3.42837 − 2.09337I −12.6725 + 14.2088I
19