![](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 = −0.204749 + 0.909214I
a = −1.78827 + 0.14528I
b = −0.449564 + 1.059010I
−8.02956 − 1.85167I −5.24228 + 5.42371I
u = −0.204749 − 0.909214I
a = −1.78827 − 0.14528I
b = −0.449564 − 1.059010I
−8.02956 + 1.85167I −5.24228 − 5.42371I
u = 1.028090 + 0.344457I
a = 0.232436 + 1.085050I
b = 0.385102 + 0.996492I
−5.49448 + 11.56310I −2.83282 − 8.67252I
u = 1.028090 − 0.344457I
a = 0.232436 − 1.085050I
b = 0.385102 − 0.996492I
−5.49448 − 11.56310I −2.83282 + 8.67252I
u = −0.865563 + 0.663778I
a = −0.634167 + 0.144459I
b = −1.110570 + 0.197533I
0.30442 − 1.50701I −2.05180 + 3.87131I
u = −0.865563 − 0.663778I
a = −0.634167 − 0.144459I
b = −1.110570 − 0.197533I
0.30442 + 1.50701I −2.05180 − 3.87131I
u = −1.073640 + 0.352329I
a = 0.459965 − 0.791107I
b = 0.435813 − 1.094870I
−0.77066 − 6.37758I 0. + 8.08386I
u = −1.073640 − 0.352329I
a = 0.459965 + 0.791107I
b = 0.435813 + 1.094870I
−0.77066 + 6.37758I 0. − 8.08386I
u = 0.776437
a = 0.938636
b = 1.14051
2.74871 16.9200
u = −0.695038 + 0.327857I
a = 0.165897 + 1.123930I
b = 0.239946 − 0.373538I
−1.53249 − 2.67857I 1.89991 + 8.49360I
28