![](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 = −0.504390 + 0.859932I
a = −0.318445 + 0.156899I
b = −0.019841 + 1.001800I
−9.00028 + 4.07227I 0
u = −0.504390 − 0.859932I
a = −0.318445 − 0.156899I
b = −0.019841 − 1.001800I
−9.00028 − 4.07227I 0
u = 0.627792 + 0.808125I
a = 0.504608 + 0.487111I
b = −0.735286 + 0.803959I
−1.68248 − 4.28082I 0
u = 0.627792 − 0.808125I
a = 0.504608 − 0.487111I
b = −0.735286 − 0.803959I
−1.68248 + 4.28082I 0
u = −0.624670 + 0.747433I
a = 0.745136 − 0.536061I
b = −0.459020 − 0.938010I
−9.48244 + 1.28540I 0
u = −0.624670 − 0.747433I
a = 0.745136 + 0.536061I
b = −0.459020 + 0.938010I
−9.48244 − 1.28540I 0
u = 0.648355 + 0.795879I
a = 0.385231 + 0.691676I
b = −0.951220 + 1.028110I
−7.2766 − 13.7621I 0
u = 0.648355 − 0.795879I
a = 0.385231 − 0.691676I
b = −0.951220 − 1.028110I
−7.2766 + 13.7621I 0
u = −0.648247 + 0.798822I
a = 0.407999 − 0.595360I
b = −0.894448 − 0.909448I
−0.89385 + 9.60187I 0
u = −0.648247 − 0.798822I
a = 0.407999 + 0.595360I
b = −0.894448 + 0.909448I
−0.89385 − 9.60187I 0
5