![](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 = −0.549992 + 0.839426I
−1.86851 + 0.80066I 0
u = −0.549992 − 0.839426I
−1.86851 − 0.80066I 0
u = 0.734078 + 0.689064I
−0.233189 − 0.030227I 0
u = 0.734078 − 0.689064I
−0.233189 + 0.030227I 0
u = −0.128262 + 1.010270I
−3.91459 − 5.98588I 0. + 8.65263I
u = −0.128262 − 1.010270I
−3.91459 + 5.98588I 0. − 8.65263I
u = −0.053301 + 1.017620I
−5.69296 + 0.01431I −9.46209 + 0.I
u = −0.053301 − 1.017620I
−5.69296 − 0.01431I −9.46209 + 0.I
u = 0.105691 + 0.972796I
−2.05395 + 2.01148I 0. − 4.13806I
u = 0.105691 − 0.972796I
−2.05395 − 2.01148I 0. + 4.13806I
u = −0.803027 + 0.656543I
−6.37926 + 0.22483I 0
u = −0.803027 − 0.656543I
−6.37926 − 0.22483I 0
u = 0.805471 + 0.664918I
−2.39312 − 4.72743I 0
u = 0.805471 − 0.664918I
−2.39312 + 4.72743I 0
u = −0.812427 + 0.664787I
−5.89683 + 9.60757I 0
u = −0.812427 − 0.664787I
−5.89683 − 9.60757I 0
u = −0.777148 + 0.718369I
3.81626 + 1.47965I 0
u = −0.777148 − 0.718369I
3.81626 − 1.47965I 0
u = 0.792070 + 0.703497I
2.24141 − 5.67987I 0
u = 0.792070 − 0.703497I
2.24141 + 5.67987I 0
u = −0.766849 + 0.751004I
4.34102 + 0.47315I 0
u = −0.766849 − 0.751004I
4.34102 − 0.47315I 0
u = −0.112650 + 1.068840I
−8.69417 − 4.47662I 0
u = −0.112650 − 1.068840I
−8.69417 + 4.47662I 0
u = 0.105301 + 1.074320I
−12.64070 − 0.11757I 0
u = 0.105301 − 1.074320I
−12.64070 + 0.11757I 0
u = 0.118931 + 1.073810I
−12.2810 + 9.3441I 0
u = 0.118931 − 1.073810I
−12.2810 − 9.3441I 0
u = 0.761679 + 0.778695I
3.51871 + 3.54542I 0
u = 0.761679 − 0.778695I
3.51871 − 3.54542I 0
5