![](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 = −0.347446 + 0.933456I
a = 0.171985 − 0.194773I
b = 0.969269 + 0.134564I
0.10929 + 6.34273I −3.77049 − 10.42741I
u = −0.347446 − 0.933456I
a = 0.171985 + 0.194773I
b = 0.969269 − 0.134564I
0.10929 − 6.34273I −3.77049 + 10.42741I
u = 0.532414 + 0.771389I
a = 0.511523 + 0.882342I
b = 0.007510 + 0.817176I
−0.41325 − 2.04302I −2.62456 + 3.49236I
u = 0.532414 − 0.771389I
a = 0.511523 − 0.882342I
b = 0.007510 − 0.817176I
−0.41325 + 2.04302I −2.62456 − 3.49236I
u = 0.838741 + 0.661261I
a = −0.960098 − 0.906788I
b = −0.480763 − 0.879178I
−6.95459 + 5.11431I −11.79581 − 4.98965I
u = 0.838741 − 0.661261I
a = −0.960098 + 0.906788I
b = −0.480763 + 0.879178I
−6.95459 − 5.11431I −11.79581 + 4.98965I
u = −0.009736 + 0.866710I
a = −0.023776 + 0.565154I
b = −0.632690 + 0.365808I
1.96169 − 1.46588I 2.04992 + 4.47072I
u = −0.009736 − 0.866710I
a = −0.023776 − 0.565154I
b = −0.632690 − 0.365808I
1.96169 + 1.46588I 2.04992 − 4.47072I
u = 0.674488 + 0.956724I
a = −0.561349 − 1.206360I
b = −0.041367 − 1.175230I
−5.94319 − 10.65650I −9.44590 + 9.96875I
u = 0.674488 − 0.956724I
a = −0.561349 + 1.206360I
b = −0.041367 + 1.175230I
−5.94319 + 10.65650I −9.44590 − 9.96875I
5