![](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 = 0.316769 + 0.789145I
a = 0.904647 + 0.546825I
b = 0.08467 − 1.45881I
5.67795 + 2.38900I 1.37819 − 3.19465I
u = 0.316769 − 0.789145I
a = 0.904647 − 0.546825I
b = 0.08467 + 1.45881I
5.67795 − 2.38900I 1.37819 + 3.19465I
u = 1.097700 + 0.412064I
a = −0.595170 − 0.691055I
b = −0.599694 + 0.489209I
3.55184 + 4.25255I −0.45867 − 6.46134I
u = 1.097700 − 0.412064I
a = −0.595170 + 0.691055I
b = −0.599694 − 0.489209I
3.55184 − 4.25255I −0.45867 + 6.46134I
u = −1.204910 + 0.143277I
a = −0.293068 − 0.232714I
b = −0.549997 + 0.336152I
3.28345 − 0.44058I − 60.10 − 0.545557I
u = −1.204910 − 0.143277I
a = −0.293068 + 0.232714I
b = −0.549997 − 0.336152I
3.28345 + 0.44058I − 60.10 + 0.545557I
u = −1.160470 + 0.608867I
a = −1.27126 + 1.44803I
b = −0.20515 − 1.50770I
10.09380 − 7.21117I 2.41941 + 5.24025I
u = −1.160470 − 0.608867I
a = −1.27126 − 1.44803I
b = −0.20515 + 1.50770I
10.09380 + 7.21117I 2.41941 − 5.24025I
u = −0.505279 + 0.361091I
a = 2.34984 − 1.72007I
b = −0.110424 + 1.342560I
1.94298 + 1.80277I −0.49805 + 1.45271I
u = −0.505279 − 0.361091I
a = 2.34984 + 1.72007I
b = −0.110424 − 1.342560I
1.94298 − 1.80277I −0.49805 − 1.45271I
5