![](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 = −0.804594 + 0.696559I
a = −0.002315 − 0.280709I
b = −1.396170 − 0.196408I
−4.73849 + 3.00338I −7.64371 − 3.35763I
u = −0.804594 − 0.696559I
a = −0.002315 + 0.280709I
b = −1.396170 + 0.196408I
−4.73849 − 3.00338I −7.64371 + 3.35763I
u = −0.257283 + 0.651285I
a = −1.12449 − 2.84653I
b = 0.257283 + 0.651285I
−0.537213 −6 − 1.350198 + 0.10I
u = −0.257283 − 0.651285I
a = −1.12449 + 2.84653I
b = 0.257283 − 0.651285I
−0.537213 −6 − 1.350198 + 0.10I
u = 1.396170 + 0.196408I
a = 0.160795 + 0.137994I
b = 0.804594 − 0.696559I
−4.73849 + 3.00338I −7.64371 − 3.35763I
u = 1.396170 − 0.196408I
a = 0.160795 − 0.137994I
b = 0.804594 + 0.696559I
−4.73849 − 3.00338I −7.64371 + 3.35763I
u = −0.204722 + 0.532348I
a = 1.241470 + 0.214157I
b = −0.241836 − 0.217250I
−0.35106 + 1.66079I −2.53678 − 3.96410I
u = −0.204722 − 0.532348I
a = 1.241470 − 0.214157I
b = −0.241836 + 0.217250I
−0.35106 − 1.66079I −2.53678 + 3.96410I
u = 0.241836 + 0.217250I
a = 0.42599 + 2.16885I
b = 0.204722 − 0.532348I
−0.35106 + 1.66079I −2.53678 − 3.96410I
u = 0.241836 − 0.217250I
a = 0.42599 − 2.16885I
b = 0.204722 + 0.532348I
−0.35106 − 1.66079I −2.53678 + 3.96410I
9