![](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 = −1.092180 + 0.321855I
5.91460 + 0.32154I 0
u = −1.092180 − 0.321855I
5.91460 − 0.32154I 0
u = 1.096740 + 0.333708I
5.47967 − 6.53917I 0
u = 1.096740 − 0.333708I
5.47967 + 6.53917I 0
u = 0.138165 + 0.798793I
2.56851 + 10.69340I 1.65374 − 7.70378I
u = 0.138165 − 0.798793I
2.56851 − 10.69340I 1.65374 + 7.70378I
u = 1.145410 + 0.328636I
−1.73469 − 2.50512I 0
u = 1.145410 − 0.328636I
−1.73469 + 2.50512I 0
u = −0.140078 + 0.792908I
3.02805 − 4.42671I 2.55261 + 2.89150I
u = −0.140078 − 0.792908I
3.02805 + 4.42671I 2.55261 − 2.89150I
u = 0.110756 + 0.793388I
−4.87332 + 6.59799I −3.56404 − 7.84229I
u = 0.110756 − 0.793388I
−4.87332 − 6.59799I −3.56404 + 7.84229I
u = −1.166290 + 0.294481I
0.672378 − 0.761865I 0
u = −1.166290 − 0.294481I
0.672378 + 0.761865I 0
u = 0.012224 + 0.791415I
−0.94544 − 2.84281I −1.00503 + 2.82836I
u = 0.012224 − 0.791415I
−0.94544 + 2.84281I −1.00503 − 2.82836I
u = 0.074603 + 0.785868I
−5.96794 + 1.10890I −6.58754 − 0.13737I
u = 0.074603 − 0.785868I
−5.96794 − 1.10890I −6.58754 + 0.13737I
u = −0.106193 + 0.769108I
−2.51716 − 3.12629I 2.15915 + 3.27567I
u = −0.106193 − 0.769108I
−2.51716 + 3.12629I 2.15915 − 3.27567I
u = 1.193520 + 0.331076I
−2.55117 + 2.93757I 0
u = 1.193520 − 0.331076I
−2.55117 − 2.93757I 0
u = 1.245240 + 0.345004I
2.86320 + 6.94117I 0
u = 1.245240 − 0.345004I
2.86320 − 6.94117I 0
u = −1.30108
2.90585 0
u = −1.277260 + 0.264440I
2.55105 − 1.50715I 0
u = −1.277260 − 0.264440I
2.55105 + 1.50715I 0
u = −0.070446 + 0.690883I
−1.19123 − 1.83777I 2.28274 + 4.57123I
u = −0.070446 − 0.690883I
−1.19123 + 1.83777I 2.28274 − 4.57123I
u = −1.264530 + 0.340025I
3.01410 − 1.23373I 0
5