![](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 = 0.122734 + 0.924960I
a = −1.00206 − 1.15728I
b = 0.062667 − 1.123890I
−6.20661 + 0.55436I −3.35974 − 0.56714I
u = 0.122734 − 0.924960I
a = −1.00206 + 1.15728I
b = 0.062667 + 1.123890I
−6.20661 − 0.55436I −3.35974 + 0.56714I
u = 0.684492 + 0.841900I
a = −0.793078 − 0.438836I
b = −0.249155 + 1.355890I
2.91021 + 2.64160I 11.92622 − 2.88965I
u = 0.684492 − 0.841900I
a = −0.793078 + 0.438836I
b = −0.249155 − 1.355890I
2.91021 − 2.64160I 11.92622 + 2.88965I
u = −0.587589 + 0.691285I
a = −2.12504 − 1.35796I
b = 1.33891 + 0.47968I
−1.19877 + 3.86614I 3.92641 − 4.92506I
u = −0.587589 − 0.691285I
a = −2.12504 + 1.35796I
b = 1.33891 − 0.47968I
−1.19877 − 3.86614I 3.92641 + 4.92506I
u = −0.605689 + 0.998898I
a = 2.08919 + 1.16507I
b = −1.25998 + 0.86023I
−2.19753 − 8.63849I 2.18255 + 9.85874I
u = −0.605689 − 0.998898I
a = 2.08919 − 1.16507I
b = −1.25998 − 0.86023I
−2.19753 + 8.63849I 2.18255 − 9.85874I
u = 1.21767
a = 0.238878
b = −0.260121
2.45771 67.1060
u = −0.250815 + 1.195170I
a = −0.273838 − 0.517799I
b = −0.401742 − 0.682852I
−4.48302 + 1.95126I −1.08122 − 8.77138I
18