![](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 = 0.642236 + 0.877944I
a = 0.197001 − 0.148547I
b = 0.793532 + 0.638924I
−9.94522 − 0.85971I 0.652008 + 0.263340I
u = 0.642236 − 0.877944I
a = 0.197001 + 0.148547I
b = 0.793532 − 0.638924I
−9.94522 + 0.85971I 0.652008 − 0.263340I
u = 0.525547 + 0.958461I
a = −0.231366 + 0.083953I
b = −1.63498 + 0.17452I
−10.7803 + 10.1203I 2.47270 − 6.58788I
u = 0.525547 − 0.958461I
a = −0.231366 − 0.083953I
b = −1.63498 − 0.17452I
−10.7803 − 10.1203I 2.47270 + 6.58788I
u = 0.808860 + 0.080850I
a = 0.686984 + 1.110200I
b = −0.207591 − 0.160006I
−7.60162 + 5.68429I 4.92336 − 4.37173I
u = 0.808860 − 0.080850I
a = 0.686984 − 1.110200I
b = −0.207591 + 0.160006I
−7.60162 − 5.68429I 4.92336 + 4.37173I
u = 0.024745 + 0.801676I
a = 0.174801 − 0.754525I
b = −0.740668 − 0.583637I
−2.37077 − 1.03630I 2.58342 + 3.76841I
u = 0.024745 − 0.801676I
a = 0.174801 + 0.754525I
b = −0.740668 + 0.583637I
−2.37077 + 1.03630I 2.58342 − 3.76841I
u = 0.180111 + 0.768204I
a = −0.047351 + 0.934860I
b = 1.47339 + 0.21993I
−1.38871 + 3.48902I 1.80255 − 2.01978I
u = 0.180111 − 0.768204I
a = −0.047351 − 0.934860I
b = 1.47339 − 0.21993I
−1.38871 − 3.48902I 1.80255 + 2.01978I
5