![](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 = 0.163695 + 1.039420I
−3.85110 −13.61277 + 0.I
u = 0.163695 − 1.039420I
−3.85110 −13.61277 + 0.I
u = 0.937573 + 0.014479I
−15.4587 − 4.9949I −8.86627 + 2.90812I
u = 0.937573 − 0.014479I
−15.4587 + 4.9949I −8.86627 − 2.90812I
u = −0.306317 + 0.859721I
−0.44198 − 1.55423I −2.94040 + 4.30527I
u = −0.306317 − 0.859721I
−0.44198 + 1.55423I −2.94040 − 4.30527I
u = 0.406229 + 1.141860I
−5.04794 + 3.86354I −8.03791 − 4.00946I
u = 0.406229 − 1.141860I
−5.04794 − 3.86354I −8.03791 + 4.00946I
u = −0.371894 + 1.189500I
−8.79106 −12.57530 + 0.I
u = −0.371894 − 1.189500I
−8.79106 −12.57530 + 0.I
u = −0.734633 + 0.083595I
−5.04794 + 3.86354I −8.03791 − 4.00946I
u = −0.734633 − 0.083595I
−5.04794 − 3.86354I −8.03791 + 4.00946I
u = −0.476691 + 1.280860I
−15.4587 − 4.9949I −8.86627 + 2.90812I
u = −0.476691 − 1.280860I
−15.4587 + 4.9949I −8.86627 − 2.90812I
u = 0.470193 + 1.289670I
−19.4826 −12.12278 + 0.I
u = 0.470193 − 1.289670I
−19.4826 −12.12278 + 0.I
u = 0.411845 + 0.333652I
−0.44198 − 1.55423I −2.94040 + 4.30527I
u = 0.411845 − 0.333652I
−0.44198 + 1.55423I −2.94040 − 4.30527I
9