![](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 = −0.735096 + 0.483437I
3.93491 + 7.78666I −6.52057 − 6.95091I
u = −0.735096 − 0.483437I
3.93491 − 7.78666I −6.52057 + 6.95091I
u = 0.823408 + 0.305892I
2.75760 + 1.21639I −8.64796 + 0.89072I
u = 0.823408 − 0.305892I
2.75760 − 1.21639I −8.64796 − 0.89072I
u = 0.745532 + 0.437435I
−3.04287 − 5.13177I −10.41474 + 8.03667I
u = 0.745532 − 0.437435I
−3.04287 + 5.13177I −10.41474 − 8.03667I
u = −0.764445 + 0.378232I
−3.43946 + 1.21065I −12.14938 − 1.12081I
u = −0.764445 − 0.378232I
−3.43946 − 1.21065I −12.14938 + 1.12081I
u = −0.452774 + 0.498752I
8.77358 + 1.74014I −1.26540 − 4.02754I
u = −0.452774 − 0.498752I
8.77358 − 1.74014I −1.26540 + 4.02754I
u = −0.122759 + 0.592008I
5.72920 − 4.13111I −2.75453 + 2.25855I
u = −0.122759 − 0.592008I
5.72920 + 4.13111I −2.75453 − 2.25855I
u = 0.446337 + 0.365752I
1.28799 − 1.35763I −1.87160 + 6.24969I
u = 0.446337 − 0.365752I
1.28799 + 1.35763I −1.87160 − 6.24969I
u = 0.054976 + 0.542370I
−1.05109 + 1.79539I −6.43581 − 3.73700I
u = 0.054976 − 0.542370I
−1.05109 − 1.79539I −6.43581 + 3.73700I
u = 1.50038 + 0.09278I
2.39020 − 3.71852I −5.27418 + 3.00848I
u = 1.50038 − 0.09278I
2.39020 + 3.71852I −5.27418 − 3.00848I
u = −1.53695 + 0.05480I
−5.38754 + 2.62456I −7.08196 − 4.54676I
u = −1.53695 − 0.05480I
−5.38754 − 2.62456I −7.08196 + 4.54676I
u = −0.457663
−0.649936 −15.7110
u = 1.56051
−7.66915 −13.9610
u = 1.61748 + 0.14016I
−4.07324 − 10.12930I −8.75457 + 5.34263I
u = 1.61748 − 0.14016I
−4.07324 + 10.12930I −8.75457 − 5.34263I
u = −1.62065 + 0.12523I
−11.12620 + 7.24908I −12.24142 − 6.12618I
u = −1.62065 − 0.12523I
−11.12620 − 7.24908I −12.24142 + 6.12618I
u = 1.62371 + 0.10809I
−11.61880 − 3.05167I −13.64014 + 0.I
u = 1.62371 − 0.10809I
−11.61880 + 3.05167I −13.64014 + 0.I
u = −1.63057 + 0.08388I
−5.64869 + 0.25021I −10.11180 + 0.I
u = −1.63057 − 0.08388I
−5.64869 − 0.25021I −10.11180 + 0.I
5