![](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 = 0.772300 + 0.626535I
−1.19029 + 3.41271I −2.10600 − 2.62516I
u = 0.772300 − 0.626535I
−1.19029 − 3.41271I −2.10600 + 2.62516I
u = −0.050221 + 1.076790I
4.64273 + 2.76747I 5.41762 − 3.21377I
u = −0.050221 − 1.076790I
4.64273 − 2.76747I 5.41762 + 3.21377I
u = 0.727524 + 0.860849I
−4.64273 − 2.76747I −5.41762 + 3.21377I
u = 0.727524 − 0.860849I
−4.64273 + 2.76747I −5.41762 − 3.21377I
u = −0.494052 + 0.663856I
0.022819 + 1.377700I 0.88590 − 4.12207I
u = −0.494052 − 0.663856I
0.022819 − 1.377700I 0.88590 + 4.12207I
u = −0.622207 + 1.001070I
1.19029 + 3.41271I 2.10600 − 2.62516I
u = −0.622207 − 1.001070I
1.19029 − 3.41271I 2.10600 + 2.62516I
u = 0.683715 + 1.025590I
− 8.93586I 0. + 7.26077I
u = 0.683715 − 1.025590I
8.93586I 0. − 7.26077I
u = −0.517057 + 0.454483I
−0.022819 + 1.377700I −0.88590 − 4.12207I
u = −0.517057 − 0.454483I
−0.022819 − 1.377700I −0.88590 + 4.12207I
5