![](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 = −0.371997 + 0.911661I
a = 0.0887599 − 0.0951085I
b = 0.944034 + 0.301769I
0.02027 + 4.12007I −7.00000 − 7.00432I
u = −0.371997 − 0.911661I
a = 0.0887599 + 0.0951085I
b = 0.944034 − 0.301769I
0.02027 − 4.12007I −7.00000 + 7.00432I
u = 0.123662 + 0.937506I
a = 0.94133 − 1.41174I
b = 0.152966 + 1.275670I
5.54405 + 0.90504I 0. − 2.30521I
u = 0.123662 − 0.937506I
a = 0.94133 + 1.41174I
b = 0.152966 − 1.275670I
5.54405 − 0.90504I 0. + 2.30521I
u = −0.744727 + 0.518203I
a = −0.330115 − 0.059884I
b = 0.127427 + 0.966899I
−0.343144 + 0.381292I −7.00000 + 0.I
u = −0.744727 − 0.518203I
a = −0.330115 + 0.059884I
b = 0.127427 − 0.966899I
−0.343144 − 0.381292I −7.00000 + 0.I
u = −0.860587 + 0.281389I
a = 0.620418 + 0.125659I
b = 0.383866 − 1.083520I
−1.07493 + 4.80769I −9.34122 − 6.74048I
u = −0.860587 − 0.281389I
a = 0.620418 − 0.125659I
b = 0.383866 + 1.083520I
−1.07493 − 4.80769I −9.34122 + 6.74048I
u = 0.250188 + 0.801720I
a = −1.38496 + 1.41699I
b = −0.452932 − 1.292530I
4.35267 − 4.76438I −1.23872 + 3.17616I
u = 0.250188 − 0.801720I
a = −1.38496 − 1.41699I
b = −0.452932 + 1.292530I
4.35267 + 4.76438I −1.23872 − 3.17616I
5