![](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 = −0.073972 + 1.163980I
3.44486 − 4.07290I 0
u = −0.073972 − 1.163980I
3.44486 + 4.07290I 0
u = −0.687972 + 0.447740I
−1.97103 − 10.12300I 1.79388 + 7.77303I
u = −0.687972 − 0.447740I
−1.97103 + 10.12300I 1.79388 − 7.77303I
u = 0.680583 + 0.456074I
−7.13842 + 6.32141I −2.86224 − 6.81848I
u = 0.680583 − 0.456074I
−7.13842 − 6.32141I −2.86224 + 6.81848I
u = −0.634060 + 0.514914I
−2.22403 + 5.72401I 1.08593 − 1.85120I
u = −0.634060 − 0.514914I
−2.22403 − 5.72401I 1.08593 + 1.85120I
u = 0.642018 + 0.503673I
−7.31878 − 1.92743I −3.47550 + 0.73718I
u = 0.642018 − 0.503673I
−7.31878 + 1.92743I −3.47550 − 0.73718I
u = −0.664857 + 0.466839I
−5.12792 − 2.35466I −0.20423 + 2.11201I
u = −0.664857 − 0.466839I
−5.12792 + 2.35466I −0.20423 − 2.11201I
u = −0.651503 + 0.484423I
−5.19301 − 2.00819I −0.45901 + 4.03609I
u = −0.651503 − 0.484423I
−5.19301 + 2.00819I −0.45901 − 4.03609I
u = 0.042814 + 1.220540I
−1.97107 + 1.50217I 0
u = 0.042814 − 1.220540I
−1.97107 − 1.50217I 0
u = 0.624478 + 0.433571I
1.64938 + 2.01589I 4.08259 − 3.48102I
u = 0.624478 − 0.433571I
1.64938 − 2.01589I 4.08259 + 3.48102I
u = −0.181617 + 1.297260I
2.13974 − 1.34166I 0
u = −0.181617 − 1.297260I
2.13974 + 1.34166I 0
u = 0.614989 + 0.200876I
5.34028 + 6.50684I 7.37974 − 8.13021I
u = 0.614989 − 0.200876I
5.34028 − 6.50684I 7.37974 + 8.13021I
u = 0.163827 + 1.347560I
−3.62256 + 2.89228I 0
u = 0.163827 − 1.347560I
−3.62256 − 2.89228I 0
u = 0.219969 + 1.352410I
0.44892 + 9.53691I 0
u = 0.219969 − 1.352410I
0.44892 − 9.53691I 0
u = −0.202204 + 1.360380I
−4.85892 − 6.22848I 0
u = −0.202204 − 1.360380I
−4.85892 + 6.22848I 0
u = −0.574314 + 0.211859I
0.10203 − 3.40195I 2.36486 + 8.98890I
u = −0.574314 − 0.211859I
0.10203 + 3.40195I 2.36486 − 8.98890I
5