![](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 = −0.081166 + 0.904115I
a = −0.344352 + 0.904100I
b = −0.205252 + 0.162622I
7.50937 + 0.87155I 0
u = −0.081166 − 0.904115I
a = −0.344352 − 0.904100I
b = −0.205252 − 0.162622I
7.50937 − 0.87155I 0
u = −0.121934 + 0.870862I
a = −0.96469 − 1.31541I
b = −1.313980 + 0.103964I
6.3847 + 13.3757I 0
u = −0.121934 − 0.870862I
a = −0.96469 + 1.31541I
b = −1.313980 − 0.103964I
6.3847 − 13.3757I 0
u = 0.154867 + 0.858936I
a = −0.632403 + 0.871576I
b = −0.954252 − 0.565366I
7.30644 − 4.30172I 0
u = 0.154867 − 0.858936I
a = −0.632403 − 0.871576I
b = −0.954252 + 0.565366I
7.30644 + 4.30172I 0
u = −0.028698 + 0.855465I
a = −0.428888 − 0.916164I
b = −0.819599 − 0.897102I
7.25427 + 3.69556I 0
u = −0.028698 − 0.855465I
a = −0.428888 + 0.916164I
b = −0.819599 + 0.897102I
7.25427 − 3.69556I 0
u = 0.091469 + 0.844247I
a = −1.35317 − 0.57053I
b = −0.863472 − 0.322494I
9.30952 − 6.81701I 0
u = 0.091469 − 0.844247I
a = −1.35317 + 0.57053I
b = −0.863472 + 0.322494I
9.30952 + 6.81701I 0
5