![](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 = 0.327774 + 1.008010I
a = 0.125111 − 1.395870I
b = 0.62225 + 1.49572I
3.00343 − 3.59147I −14.5630 + 3.1404I
u = 0.327774 − 1.008010I
a = 0.125111 + 1.395870I
b = 0.62225 − 1.49572I
3.00343 + 3.59147I −14.5630 − 3.1404I
u = −1.049180 + 0.328681I
a = 0.227437 + 0.113345I
b = 1.043330 + 0.669500I
−3.63748 + 0.95206I −18.5953 − 2.4083I
u = −1.049180 − 0.328681I
a = 0.227437 − 0.113345I
b = 1.043330 − 0.669500I
−3.63748 − 0.95206I −18.5953 + 2.4083I
u = 1.196290 + 0.592671I
a = −0.801458 + 0.561608I
b = −0.45032 − 1.39377I
0.38150 − 2.09841I −15.3966 + 1.5939I
u = 1.196290 − 0.592671I
a = −0.801458 − 0.561608I
b = −0.45032 + 1.39377I
0.38150 + 2.09841I −15.3966 − 1.5939I
u = −1.50943
a = −1.21747
b = −1.31818
−11.5846 −22.3790
u = −1.56587 + 0.38910I
a = 0.939600 + 0.740035I
b = 1.19135 − 1.12676I
−3.19868 + 8.72155I −18.7407 − 4.5394I
u = −1.56587 − 0.38910I
a = 0.939600 − 0.740035I
b = 1.19135 + 1.12676I
−3.19868 − 8.72155I −18.7407 + 4.5394I
u = 1.63097
a = 0.940425
b = 0.160276
−13.8390 −17.9400
5