![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.331553 + 1.017880I
a = −0.263137 − 0.594468I
b = 1.161910 − 0.350994I
−1.07687 − 5.96268I 2.09077 + 8.83123I
u = −0.331553 − 1.017880I
a = −0.263137 + 0.594468I
b = 1.161910 + 0.350994I
−1.07687 + 5.96268I 2.09077 − 8.83123I
u = −0.709835 + 0.819251I
a = 1.48006 + 1.76057I
b = −1.044880 + 0.458438I
2.17630 − 6.02563I −0.56028 + 9.12343I
u = −0.709835 − 0.819251I
a = 1.48006 − 1.76057I
b = −1.044880 − 0.458438I
2.17630 + 6.02563I −0.56028 − 9.12343I
u = 0.796602 + 0.775891I
a = −0.547851 − 0.034126I
b = −0.616511 + 0.410301I
0.67603 + 2.30760I 0.839526 + 0.812523I
u = 0.796602 − 0.775891I
a = −0.547851 + 0.034126I
b = −0.616511 − 0.410301I
0.67603 − 2.30760I 0.839526 − 0.812523I
u = 0.419524 + 1.077190I
a = −0.842248 + 0.809097I
b = 0.707292 − 0.140260I
−3.12109 + 3.82990I −1.85547 − 2.52429I
u = 0.419524 − 1.077190I
a = −0.842248 − 0.809097I
b = 0.707292 + 0.140260I
−3.12109 − 3.82990I −1.85547 + 2.52429I
u = −0.291962 + 0.766600I
a = −1.56953 + 0.25172I
b = −1.075650 − 0.352178I
−0.11610 + 3.27114I −0.199143 − 1.320670I
u = −0.291962 − 0.766600I
a = −1.56953 − 0.25172I
b = −1.075650 + 0.352178I
−0.11610 − 3.27114I −0.199143 + 1.320670I
15