![](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 = 0.903831 + 0.403972I
a = 1.269250 − 0.398175I
b = 1.057390 + 0.767924I
0.07179 + 4.23224I 2.32754 − 7.48197I
u = 0.903831 − 0.403972I
a = 1.269250 + 0.398175I
b = 1.057390 − 0.767924I
0.07179 − 4.23224I 2.32754 + 7.48197I
u = −0.711823 + 0.747660I
a = −0.406775 − 0.002759I
b = −0.634669 − 0.607886I
−0.59950 − 7.44517I −1.81786 + 8.61499I
u = −0.711823 − 0.747660I
a = −0.406775 + 0.002759I
b = −0.634669 + 0.607886I
−0.59950 + 7.44517I −1.81786 − 8.61499I
u = 0.804581 + 0.489615I
a = 0.265943 − 0.865672I
b = −0.177298 + 0.044040I
−1.74326 + 2.05593I −4.38675 − 3.92763I
u = 0.804581 − 0.489615I
a = 0.265943 + 0.865672I
b = −0.177298 − 0.044040I
−1.74326 − 2.05593I −4.38675 + 3.92763I
u = 0.859520 + 0.676363I
a = 0.964914 − 0.424298I
b = 0.480610 + 0.345118I
0.30698 + 3.25660I 0. − 2.79575I
u = 0.859520 − 0.676363I
a = 0.964914 + 0.424298I
b = 0.480610 − 0.345118I
0.30698 − 3.25660I 0. + 2.79575I
u = −0.311259 + 0.850032I
a = −0.321328 − 0.147611I
b = −0.73288 + 1.72138I
1.72838 + 10.40930I −1.97334 − 6.85461I
u = −0.311259 − 0.850032I
a = −0.321328 + 0.147611I
b = −0.73288 − 1.72138I
1.72838 − 10.40930I −1.97334 + 6.85461I
5