![](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 = 0.889825 + 0.518019I
a = 1.80815 − 0.10924I
b = −0.047282 − 0.753781I
−2.73387 + 0.01146I 0
u = 0.889825 − 0.518019I
a = 1.80815 + 0.10924I
b = −0.047282 + 0.753781I
−2.73387 − 0.01146I 0
u = −0.951875 + 0.138587I
a = −0.334638 + 0.760647I
b = 0.13084 − 1.63169I
−4.43551 − 0.58390I 2.0028 + 16.2432I
u = −0.951875 − 0.138587I
a = −0.334638 − 0.760647I
b = 0.13084 + 1.63169I
−4.43551 + 0.58390I 2.0028 − 16.2432I
u = 0.889547 + 0.565104I
a = 0.047378 − 1.295340I
b = −0.102902 − 0.786800I
−2.62756 + 4.18235I 0. − 7.36368I
u = 0.889547 − 0.565104I
a = 0.047378 + 1.295340I
b = −0.102902 + 0.786800I
−2.62756 − 4.18235I 0. + 7.36368I
u = −0.965951 + 0.526217I
a = −0.958662 + 0.305495I
b = −0.121614 − 1.056300I
−3.72391 − 3.22895I 0
u = −0.965951 − 0.526217I
a = −0.958662 − 0.305495I
b = −0.121614 + 1.056300I
−3.72391 + 3.22895I 0
u = 0.856961 + 0.258390I
a = 1.51289 + 0.16347I
b = −0.164358 − 1.290890I
−1.78208 + 1.17282I 13.02825 + 0.I
u = 0.856961 − 0.258390I
a = 1.51289 − 0.16347I
b = −0.164358 + 1.290890I
−1.78208 − 1.17282I 13.02825 + 0.I
28