![](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 = 0.870347 + 0.438821I
a = 0.015315 + 0.902084I
b = 0.136807 − 0.606788I
−0.59383 + 3.47183I −2.57465 − 7.94209I
u = 0.870347 − 0.438821I
a = 0.015315 − 0.902084I
b = 0.136807 + 0.606788I
−0.59383 − 3.47183I −2.57465 + 7.94209I
u = 0.769432 + 0.540134I
a = −0.334413 + 0.181071I
b = 0.262412 − 0.045879I
−2.41085 + 2.18056I −0.89273 − 4.14337I
u = 0.769432 − 0.540134I
a = −0.334413 − 0.181071I
b = 0.262412 + 0.045879I
−2.41085 − 2.18056I −0.89273 + 4.14337I
u = −0.918255 + 0.555689I
a = 2.35354 − 0.32507I
b = 0.33439 + 1.82533I
4.75622 − 8.70313I −1.30654 + 7.99573I
u = −0.918255 − 0.555689I
a = 2.35354 + 0.32507I
b = 0.33439 − 1.82533I
4.75622 + 8.70313I −1.30654 − 7.99573I
u = −0.961040 + 0.526565I
a = −2.26543 + 0.37900I
b = −0.19641 − 1.57019I
5.41584 − 1.98677I 0. + 3.17688I
u = −0.961040 − 0.526565I
a = −2.26543 − 0.37900I
b = −0.19641 + 1.57019I
5.41584 + 1.98677I 0. − 3.17688I
u = −0.892007 + 0.102900I
a = −0.782404 + 0.397432I
b = −0.1264520 − 0.0345198I
1.50518 − 0.26567I 6.00026 + 0.27915I
u = −0.892007 − 0.102900I
a = −0.782404 − 0.397432I
b = −0.1264520 + 0.0345198I
1.50518 + 0.26567I 6.00026 − 0.27915I
5