![](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 = 0.960687 + 0.153679I
a = 0.507114 + 0.208480I
b = −0.750208 + 0.893053I
4.67325 − 2.88323I 0
u = 0.960687 − 0.153679I
a = 0.507114 − 0.208480I
b = −0.750208 − 0.893053I
4.67325 + 2.88323I 0
u = 0.827370 + 0.170912I
a = 0.960753 − 0.367241I
b = −0.764781 − 0.869204I
4.74752 + 2.85194I 5.96777 − 3.55563I
u = 0.827370 − 0.170912I
a = 0.960753 + 0.367241I
b = −0.764781 + 0.869204I
4.74752 − 2.85194I 5.96777 + 3.55563I
u = −0.431098 + 0.703014I
a = −0.011403 + 1.045270I
b = −0.906120 − 0.737961I
9.87956 − 5.56873I 5.48276 + 3.81380I
u = −0.431098 − 0.703014I
a = −0.011403 − 1.045270I
b = −0.906120 + 0.737961I
9.87956 + 5.56873I 5.48276 − 3.81380I
u = −0.417770 + 0.709165I
a = 2.06985 + 1.21835I
b = −0.786589 + 1.032560I
8.9584 − 11.8257I 3.97751 + 8.54937I
u = −0.417770 − 0.709165I
a = 2.06985 − 1.21835I
b = −0.786589 − 1.032560I
8.9584 + 11.8257I 3.97751 − 8.54937I
u = −0.541357 + 0.617925I
a = 1.260830 + 0.092818I
b = −0.902271 + 0.758090I
10.28590 + 1.15255I 6.41028 + 2.08924I
u = −0.541357 − 0.617925I
a = 1.260830 − 0.092818I
b = −0.902271 − 0.758090I
10.28590 − 1.15255I 6.41028 − 2.08924I
5