![](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 = 0.271774 + 0.827110I
6.93433 − 3.66739I −1.48503 + 4.79553I
u = 0.271774 − 0.827110I
6.93433 + 3.66739I −1.48503 − 4.79553I
u = −0.145768 + 0.662459I
1.43348 + 1.40896I −5.12495 − 6.02157I
u = −0.145768 − 0.662459I
1.43348 − 1.40896I −5.12495 + 6.02157I
u = −0.051954 + 1.358880I
8.22355 + 2.07648I −3.82909 − 3.39454I
u = −0.051954 − 1.358880I
8.22355 − 2.07648I −3.82909 + 3.39454I
u = 0.12129 + 1.42228I
14.4875 − 5.1183I −0.51063 + 3.30297I
u = 0.12129 − 1.42228I
14.4875 + 5.1183I −0.51063 − 3.30297I
u = 0.423199 + 0.251122I
3.60506 − 1.37133I −6.75729 + 4.35131I
u = 0.423199 − 0.251122I
3.60506 + 1.37133I −6.75729 − 4.35131I
u = −0.273809
−0.545301 −18.4880
u = −0.01197 + 1.83320I
−19.2795 + 2.3825I −3.62259 − 2.70854I
u = −0.01197 − 1.83320I
−19.2795 − 2.3825I −3.62259 + 2.70854I
u = 0.03033 + 1.84772I
−12.66440 − 5.89363I −0.42649 + 2.70199I
u = 0.03033 − 1.84772I
−12.66440 + 5.89363I −0.42649 − 2.70199I
5