![](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 = −0.233995 + 1.062500I
2.70695 − 0.12674I 4.66869 − 0.47422I
u = −0.233995 − 1.062500I
2.70695 + 0.12674I 4.66869 + 0.47422I
u = −0.057629 + 1.115900I
4.56522 + 1.48077I 5.55942 − 4.67239I
u = −0.057629 − 1.115900I
4.56522 − 1.48077I 5.55942 + 4.67239I
u = 0.245809 + 1.107520I
−0.77465 − 4.19431I 1.26264 + 4.05555I
u = 0.245809 − 1.107520I
−0.77465 + 4.19431I 1.26264 − 4.05555I
u = −0.250403 + 1.139970I
3.55407 + 8.50807I 5.61234 − 6.50090I
u = −0.250403 − 1.139970I
3.55407 − 8.50807I 5.61234 + 6.50090I
u = 0.093308 + 1.206050I
9.88022 − 3.25617I 10.40235 + 3.78646I
u = 0.093308 − 1.206050I
9.88022 + 3.25617I 10.40235 − 3.78646I
u = −0.497952 + 0.387936I
−1.28060 + 5.95602I 1.10734 − 7.09363I
u = −0.497952 − 0.387936I
−1.28060 − 5.95602I 1.10734 + 7.09363I
u = 0.501664 + 0.346327I
−5.34724 − 1.65915I −3.47730 + 3.92327I
u = 0.501664 − 0.346327I
−5.34724 + 1.65915I −3.47730 − 3.92327I
u = 0.251561 + 0.534036I
4.26948 − 2.12613I 7.78261 + 6.10454I
u = 0.251561 − 0.534036I
4.26948 + 2.12613I 7.78261 − 6.10454I
u = −0.506752 + 0.300569I
−1.53910 − 2.63441I −0.000560 − 0.254726I
u = −0.506752 − 0.300569I
−1.53910 + 2.63441I −0.000560 + 0.254726I
u = 0.385420
2.64216 0.0271240
u = −0.193530 + 0.306617I
0.008601 + 0.713717I 0.31670 − 9.78617I
u = −0.193530 − 0.306617I
0.008601 − 0.713717I 0.31670 + 9.78617I
u = −0.05101 + 1.74665I
12.81940 + 0.99880I 0
u = −0.05101 − 1.74665I
12.81940 − 0.99880I 0
u = 0.05931 + 1.75698I
9.55603 − 5.46146I 0
u = 0.05931 − 1.75698I
9.55603 + 5.46146I 0
u = −0.01191 + 1.76227I
15.0429 + 1.7587I 0
u = −0.01191 − 1.76227I
15.0429 − 1.7587I 0
u = −0.06271 + 1.76571I
14.0570 + 9.8419I 0
u = −0.06271 − 1.76571I
14.0570 − 9.8419I 0
u = 0.02152 + 1.78217I
−18.6689 − 3.7508I 0
5