![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.830041 + 0.372143I
a = 0.018859 + 0.570003I
b = −0.538229 + 0.805569I
−4.33333 − 3.17748I −11.15222 + 4.56629I
u = 0.830041 − 0.372143I
a = 0.018859 − 0.570003I
b = −0.538229 − 0.805569I
−4.33333 + 3.17748I −11.15222 − 4.56629I
u = 0.856682 + 0.292394I
a = −0.110513 + 0.558228I
b = −0.609214 + 0.752506I
−4.33137 − 3.17736I −10.79809 + 3.65508I
u = 0.856682 − 0.292394I
a = −0.110513 − 0.558228I
b = −0.609214 − 0.752506I
−4.33137 + 3.17736I −10.79809 − 3.65508I
u = 0.903347
a = 0.392353
b = 0.674604
−0.339311 2.40450
u = 0.366487 + 0.738621I
a = −0.651754 − 0.018325I
b = 0.052630 − 0.833432I
−2.73349 − 1.32865I −11.07966 + 3.39512I
u = 0.366487 − 0.738621I
a = −0.651754 + 0.018325I
b = 0.052630 + 0.833432I
−2.73349 + 1.32865I −11.07966 − 3.39512I
u = −1.133040 + 0.450430I
a = −0.837685 + 0.173018I
b = 0.142357 + 0.468689I
−6.73763 + 4.05980I −12.29979 − 3.84797I
u = −1.133040 − 0.450430I
a = −0.837685 − 0.173018I
b = 0.142357 − 0.468689I
−6.73763 − 4.05980I −12.29979 + 3.84797I
u = −0.556044 + 0.401150I
a = 1.062440 + 0.854118I
b = −0.394837 − 0.396064I
−4.73125 − 0.60844I −6.34000 − 1.21463I
20