![](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 = 0.943991 + 0.417010I
−0.32248 − 3.66903I 4.65447 + 8.36170I
u = 0.943991 − 0.417010I
−0.32248 + 3.66903I 4.65447 − 8.36170I
u = −0.925645 + 0.242794I
−1.56228 + 0.94741I −1.84899 − 0.66530I
u = −0.925645 − 0.242794I
−1.56228 − 0.94741I −1.84899 + 0.66530I
u = 1.06813
3.34151 2.11920
u = −0.941020 + 0.526196I
6.90346 + 5.14882I 7.72787 − 5.87498I
u = −0.941020 − 0.526196I
6.90346 − 5.14882I 7.72787 + 5.87498I
u = −0.096630 + 0.838348I
2.71524 − 4.94630I 6.58652 + 2.90766I
u = −0.096630 − 0.838348I
2.71524 + 4.94630I 6.58652 − 2.90766I
u = 0.032467 + 0.825255I
−3.91327 + 2.09016I 2.84908 − 3.29724I
u = 0.032467 − 0.825255I
−3.91327 − 2.09016I 2.84908 + 3.29724I
u = −0.514598 + 0.582714I
8.10021 − 0.74106I 10.45548 − 0.11519I
u = −0.514598 − 0.582714I
8.10021 + 0.74106I 10.45548 + 0.11519I
u = 1.234440 + 0.405346I
−1.31438 + 0.65510I 2.52162 + 0.18366I
u = 1.234440 − 0.405346I
−1.31438 − 0.65510I 2.52162 − 0.18366I
u = −1.227460 + 0.443418I
−7.66398 + 2.39421I −0.836170 − 0.236041I
u = −1.227460 − 0.443418I
−7.66398 − 2.39421I −0.836170 + 0.236041I
u = 1.222590 + 0.473871I
−7.44486 − 6.76579I −0.10985 + 6.36717I
u = 1.222590 − 0.473871I
−7.44486 + 6.76579I −0.10985 − 6.36717I
u = −1.217040 + 0.502393I
−0.62159 + 9.81750I 3.52842 − 5.98024I
u = −1.217040 − 0.502393I
−0.62159 − 9.81750I 3.52842 + 5.98024I
u = 0.454832 + 0.348349I
0.985778 + 0.157850I 10.41194 − 1.08803I
u = 0.454832 − 0.348349I
0.985778 − 0.157850I 10.41194 + 1.08803I
5