![](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 = −0.958451 + 0.182027I
−1.50976 + 0.22408I −7.80723 − 0.81667I
u = −0.958451 − 0.182027I
−1.50976 − 0.22408I −7.80723 + 0.81667I
u = −0.794065 + 0.558308I
8.84617 + 2.25274I 4.58162 − 3.46798I
u = −0.794065 − 0.558308I
8.84617 − 2.25274I 4.58162 + 3.46798I
u = 1.059210 + 0.106332I
0.18706 + 2.88066I −2.91592 − 4.70329I
u = 1.059210 − 0.106332I
0.18706 − 2.88066I −2.91592 + 4.70329I
u = 0.534293 + 0.761914I
13.9445 − 3.9233I 5.91216 + 2.83813I
u = 0.534293 − 0.761914I
13.9445 + 3.9233I 5.91216 − 2.83813I
u = 0.814354 + 0.428559I
1.05337 − 1.87068I 3.39079 + 4.68483I
u = 0.814354 − 0.428559I
1.05337 + 1.87068I 3.39079 − 4.68483I
u = 0.437218 + 0.793916I
13.4042 + 6.9529I 5.22220 − 3.15637I
u = 0.437218 − 0.793916I
13.4042 − 6.9529I 5.22220 + 3.15637I
u = −0.510362 + 0.737623I
5.58647 + 2.00252I 4.43798 − 4.06646I
u = −0.510362 − 0.737623I
5.58647 − 2.00252I 4.43798 + 4.06646I
u = −1.109120 + 0.092741I
8.15110 − 4.89812I −0.84749 + 2.79086I
u = −1.109120 − 0.092741I
8.15110 + 4.89812I −0.84749 − 2.79086I
u = −0.440224 + 0.767604I
5.20119 − 4.76095I 3.47757 + 4.70504I
u = −0.440224 − 0.767604I
5.20119 + 4.76095I 3.47757 − 4.70504I
u = −1.052970 + 0.403941I
−2.94816 + 1.84155I −7.97014 − 0.12089I
u = −1.052970 − 0.403941I
−2.94816 − 1.84155I −7.97014 + 0.12089I
u = 1.079910 + 0.334044I
3.19579 − 0.38496I −4.05769 + 0.70837I
u = 1.079910 − 0.334044I
3.19579 + 0.38496I −4.05769 − 0.70837I
u = 0.460288 + 0.731314I
3.06576 + 1.25733I −0.386808 − 0.265317I
u = 0.460288 − 0.731314I
3.06576 − 1.25733I −0.386808 + 0.265317I
u = 1.069990 + 0.454007I
−2.58903 − 5.04565I −5.96481 + 8.68441I
u = 1.069990 − 0.454007I
−2.58903 + 5.04565I −5.96481 − 8.68441I
u = −1.096730 + 0.488278I
4.21047 + 6.88158I −1.95632 − 6.72572I
u = −1.096730 − 0.488278I
4.21047 − 6.88158I −1.95632 + 6.72572I
u = −1.049770 + 0.605621I
3.98383 + 3.11596I 2.01311 − 1.17218I
u = −1.049770 − 0.605621I
3.98383 − 3.11596I 2.01311 + 1.17218I
5