![](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 = −0.136648 + 0.946331I
a = 1.76583 + 0.81451I
b = −1.200650 + 0.372627I
1.17094I − 70.10 − 0.0853212I
u = −0.136648 − 0.946331I
a = 1.76583 − 0.81451I
b = −1.200650 − 0.372627I
− 1.17094I − 70.10 + 0.0853212I
u = 0.177807 + 0.938169I
a = 1.51071 + 0.88729I
b = −1.247460 + 0.492279I
4.15816 − 3.28640I 5.68449 + 2.42731I
u = 0.177807 − 0.938169I
a = 1.51071 − 0.88729I
b = −1.247460 − 0.492279I
4.15816 + 3.28640I 5.68449 − 2.42731I
u = 0.873788 + 0.210879I
a = −0.272534 + 0.199714I
b = −0.994243 − 0.733917I
1.08386 + 4.88595I −0.88479 − 6.08182I
u = 0.873788 − 0.210879I
a = −0.272534 − 0.199714I
b = −0.994243 + 0.733917I
1.08386 − 4.88595I −0.88479 + 6.08182I
u = −0.634034 + 0.950647I
a = −0.745266 − 0.027755I
b = 0.411893 − 0.183179I
−4.15816 + 3.28640I −5.68449 − 2.42731I
u = −0.634034 − 0.950647I
a = −0.745266 + 0.027755I
b = 0.411893 + 0.183179I
−4.15816 − 3.28640I −5.68449 + 2.42731I
u = −1.028830 + 0.552365I
a = 0.250126 − 0.345287I
b = −0.092210 + 0.218091I
−5.62841 + 2.09236I −7.49506 − 8.83052I
u = −1.028830 − 0.552365I
a = 0.250126 + 0.345287I
b = −0.092210 − 0.218091I
−5.62841 − 2.09236I −7.49506 + 8.83052I
12