![](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 = −0.577722 + 0.852843I
a = −0.598036 + 0.102351I
b = −0.488236 − 0.375359I
−1.89061 − 0.92430I −3.71672 + 0.79423I
u = −0.577722 − 0.852843I
a = −0.598036 − 0.102351I
b = −0.488236 + 0.375359I
−1.89061 + 0.92430I −3.71672 − 0.79423I
u = 0.196160 + 0.885066I
a = 0.419078 + 1.129010I
b = −2.92263 − 1.35280I
1.89061 − 0.92430I 3.71672 + 0.79423I
u = 0.196160 − 0.885066I
a = 0.419078 − 1.129010I
b = −2.92263 + 1.35280I
1.89061 + 0.92430I 3.71672 − 0.79423I
u = −0.945163 + 0.610473I
a = 1.206700 − 0.490377I
b = 0.819070 − 0.094621I
− 5.69302I 0. + 5.51057I
u = −0.945163 − 0.610473I
a = 1.206700 + 0.490377I
b = 0.819070 + 0.094621I
5.69302I 0. − 5.51057I
u = 0.090472 + 1.133120I
a = −0.583686 + 0.762709I
b = −3.11733 − 0.76503I
1.89061 + 0.92430I 3.71672 − 0.79423I
u = 0.090472 − 1.133120I
a = −0.583686 − 0.762709I
b = −3.11733 + 0.76503I
1.89061 − 0.92430I 3.71672 + 0.79423I
u = 0.686633 + 0.502578I
a = −0.150201 − 0.718978I
b = −0.530542 − 0.156218I
−1.89061 − 0.92430I −3.71672 + 0.79423I
u = 0.686633 − 0.502578I
a = −0.150201 + 0.718978I
b = −0.530542 + 0.156218I
−1.89061 + 0.92430I −3.71672 − 0.79423I
14