![](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 = −0.694472 + 0.462147I
−15.5741 − 8.0130I −5.65409 + 5.67100I
u = −0.694472 − 0.462147I
−15.5741 + 8.0130I −5.65409 − 5.67100I
u = −0.653290 + 0.517630I
−15.7763 + 3.5247I −6.18458 + 0.18087I
u = −0.653290 − 0.517630I
−15.7763 − 3.5247I −6.18458 − 0.18087I
u = 0.676367 + 0.461366I
−7.18094 + 5.79158I −3.96237 − 7.08311I
u = 0.676367 − 0.461366I
−7.18094 − 5.79158I −3.96237 + 7.08311I
u = 0.646732 + 0.497182I
−7.31795 − 1.39903I −4.46873 + 0.97736I
u = 0.646732 − 0.497182I
−7.31795 + 1.39903I −4.46873 − 0.97736I
u = −0.652812 + 0.470140I
−4.81518 − 2.15871I −0.09882 + 3.07844I
u = −0.652812 − 0.470140I
−4.81518 + 2.15871I −0.09882 − 3.07844I
u = −0.133945 + 1.220780I
−8.55123 − 2.70934I 0
u = −0.133945 − 1.220780I
−8.55123 + 2.70934I 0
u = 0.042496 + 1.232290I
−2.07584 + 1.44827I 0. − 5.05918I
u = 0.042496 − 1.232290I
−2.07584 − 1.44827I 0. + 5.05918I
u = 0.616614 + 0.253485I
−7.36995 + 4.81091I −1.70501 − 6.62764I
u = 0.616614 − 0.253485I
−7.36995 − 4.81091I −1.70501 + 6.62764I
u = 0.156680 + 1.346240I
−3.63417 + 2.80099I 0
u = 0.156680 − 1.346240I
−3.63417 − 2.80099I 0
u = −0.195571 + 1.364550I
−4.96920 − 5.95062I 0
u = −0.195571 − 1.364550I
−4.96920 + 5.95062I 0
u = 0.314112 + 0.527766I
−8.57820 − 1.58893I −5.96750 − 0.20348I
u = 0.314112 − 0.527766I
−8.57820 + 1.58893I −5.96750 + 0.20348I
u = 0.222603 + 1.378670I
−12.5405 + 7.8575I 0
u = 0.222603 − 1.378670I
−12.5405 − 7.8575I 0
u = −0.102260 + 1.393560I
−6.53884 − 0.76013I 0
u = −0.102260 − 1.393560I
−6.53884 + 0.76013I 0
u = −0.560189 + 0.217034I
0.02712 − 3.19853I 1.49402 + 9.60591I
u = −0.560189 − 0.217034I
0.02712 + 3.19853I 1.49402 − 9.60591I
u = −0.594571
−4.94513 3.01030
u = 0.09606 + 1.43767I
−14.7381 − 0.1515I 0
5