![](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 = −1.196790 + 0.189244I
0.502956 + 0.402984I −0.929300 − 0.528315I
u = −1.196790 − 0.189244I
0.502956 − 0.402984I −0.929300 + 0.528315I
u = 0.371332 + 0.681959I
−0.47562 − 8.17190I −2.44268 + 8.00325I
u = 0.371332 − 0.681959I
−0.47562 + 8.17190I −2.44268 − 8.00325I
u = 0.434998 + 0.611250I
−4.89690 − 1.99617I −7.89924 + 3.62729I
u = 0.434998 − 0.611250I
−4.89690 + 1.99617I −7.89924 − 3.62729I
u = 1.239060 + 0.217665I
0.12823 − 5.89464I −1.94513 + 6.44091I
u = 1.239060 − 0.217665I
0.12823 + 5.89464I −1.94513 − 6.44091I
u = 0.529247 + 0.517876I
−1.14145 + 4.14236I −4.20039 − 2.04013I
u = 0.529247 − 0.517876I
−1.14145 − 4.14236I −4.20039 + 2.04013I
u = −0.343506 + 0.654959I
0.72976 + 2.73446I −0.23310 − 3.38925I
u = −0.343506 − 0.654959I
0.72976 − 2.73446I −0.23310 + 3.38925I
u = −1.26234
−2.75281 −1.58210
u = −0.028009 + 0.652167I
3.99591 + 2.71284I 3.89942 − 3.44665I
u = −0.028009 − 0.652167I
3.99591 − 2.71284I 3.89942 + 3.44665I
u = 1.358560 + 0.080822I
−5.22411 − 2.56488I −9.16453 + 4.43258I
u = 1.358560 − 0.080822I
−5.22411 + 2.56488I −9.16453 − 4.43258I
u = −0.464772 + 0.428483I
0.007927 + 0.929922I −2.40372 − 3.68841I
u = −0.464772 − 0.428483I
0.007927 − 0.929922I −2.40372 + 3.68841I
u = 1.43568 + 0.18978I
−5.89237 − 3.33239I −5.23670 + 3.21859I
u = 1.43568 − 0.18978I
−5.89237 + 3.33239I −5.23670 − 3.21859I
u = 1.43808 + 0.24908I
−4.99237 − 6.04082I −4.35365 + 3.16093I
u = 1.43808 − 0.24908I
−4.99237 + 6.04082I −4.35365 − 3.16093I
u = −1.45066 + 0.25754I
−6.33335 + 11.60290I −6.34947 − 7.70694I
u = −1.45066 − 0.25754I
−6.33335 − 11.60290I −6.34947 + 7.70694I
u = −1.46473 + 0.17711I
−7.51197 − 1.64856I −8.01509 + 2.12263I
u = −1.46473 − 0.17711I
−7.51197 + 1.64856I −8.01509 − 2.12263I
u = −1.46230 + 0.22292I
−11.00390 + 5.04935I −11.12529 − 3.42516I
u = −1.46230 − 0.22292I
−11.00390 − 5.04935I −11.12529 + 3.42516I
u = −0.265022 + 0.399657I
−0.107136 + 1.026300I −1.81008 − 6.41690I
5