![](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 = −0.451306 + 0.903467I
a = −0.347563 + 0.407354I
b = 0.602503 + 0.864518I
0.190196 + 0.083583I −0.58496 − 4.03197I
u = −0.451306 − 0.903467I
a = −0.347563 − 0.407354I
b = 0.602503 − 0.864518I
0.190196 − 0.083583I −0.58496 + 4.03197I
u = −0.502516 + 0.939528I
a = −0.648488 − 1.170890I
b = 0.477032 − 0.725108I
−0.01101 − 3.80249I 2.30252 + 5.20448I
u = −0.502516 − 0.939528I
a = −0.648488 + 1.170890I
b = 0.477032 + 0.725108I
−0.01101 + 3.80249I 2.30252 − 5.20448I
u = −0.679005 + 0.836561I
a = −1.220540 − 0.184410I
b = 0.331870 − 0.217226I
−0.38007 − 2.62741I −9.36759 + 5.92322I
u = −0.679005 − 0.836561I
a = −1.220540 + 0.184410I
b = 0.331870 + 0.217226I
−0.38007 + 2.62741I −9.36759 − 5.92322I
u = 0.650130 + 0.871012I
a = 0.428864 − 1.104410I
b = −0.797116 + 0.624859I
2.75386 − 3.50131I 5.88588 + 6.73941I
u = 0.650130 − 0.871012I
a = 0.428864 + 1.104410I
b = −0.797116 − 0.624859I
2.75386 + 3.50131I 5.88588 − 6.73941I
u = 0.633254 + 0.981446I
a = 1.91001 − 0.52929I
b = −0.904993 − 1.076120I
2.33589 + 8.43047I 0. − 8.47626I
u = 0.633254 − 0.981446I
a = 1.91001 + 0.52929I
b = −0.904993 + 1.076120I
2.33589 − 8.43047I 0. + 8.47626I
20