![](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 = −0.267263 + 0.974653I
−2.52565 − 3.29260I 0
u = −0.267263 − 0.974653I
−2.52565 + 3.29260I 0
u = 0.300039 + 0.917172I
3.68092 + 1.88018I 3.28403 − 3.42848I
u = 0.300039 − 0.917172I
3.68092 − 1.88018I 3.28403 + 3.42848I
u = 0.303413 + 0.993489I
−3.97531 + 7.01696I 0
u = 0.303413 − 0.993489I
−3.97531 − 7.01696I 0
u = −0.228796 + 1.014910I
−2.85501 − 3.56952I 0
u = −0.228796 − 1.014910I
−2.85501 + 3.56952I 0
u = 0.167253 + 1.029960I
−5.48280 + 0.26480I 0
u = 0.167253 − 1.029960I
−5.48280 − 0.26480I 0
u = −0.322805 + 0.992607I
1.41582 − 10.58410I 0
u = −0.322805 − 0.992607I
1.41582 + 10.58410I 0
u = −0.122951 + 1.057210I
−0.72813 + 3.07389I 0
u = −0.122951 − 1.057210I
−0.72813 − 3.07389I 0
u = 0.293582 + 0.669845I
5.06450 + 3.76743I 4.59609 − 5.34956I
u = 0.293582 − 0.669845I
5.06450 − 3.76743I 4.59609 + 5.34956I
u = −0.165448 + 0.666519I
−0.48337 − 1.40800I 0.29896 + 5.97525I
u = −0.165448 − 0.666519I
−0.48337 + 1.40800I 0.29896 − 5.97525I
u = −0.376224 + 0.489617I
4.12836 + 4.50612I 3.44574 − 0.89848I
u = −0.376224 − 0.489617I
4.12836 − 4.50612I 3.44574 + 0.89848I
u = −0.543737 + 0.197520I
5.08510 − 7.63642I 6.10437 + 7.49857I
u = −0.543737 − 0.197520I
5.08510 + 7.63642I 6.10437 − 7.49857I
u = 0.513985 + 0.202878I
−0.28571 + 4.22898I 1.46755 − 7.80159I
u = 0.513985 − 0.202878I
−0.28571 − 4.22898I 1.46755 + 7.80159I
u = 0.334706 + 0.422369I
−1.09545 − 1.33004I −1.86370 + 0.68284I
u = 0.334706 − 0.422369I
−1.09545 + 1.33004I −1.86370 − 0.68284I
u = 0.521502 + 0.099632I
6.77978 − 0.91733I 9.49995 − 0.90455I
u = 0.521502 − 0.099632I
6.77978 + 0.91733I 9.49995 + 0.90455I
u = −0.420230 + 0.281296I
1.13900 − 1.36467I 1.97434 + 4.92900I
u = −0.420230 − 0.281296I
1.13900 + 1.36467I 1.97434 − 4.92900I
5