![](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 = 1.000000I
a = −1.083790 + 0.612547I
b = −0.866025 − 0.500000I
4.66906 + 0.79824I 1.50976 + 0.48465I
u = 1.000000I
a = 0.377439 + 0.346257I
b = 0.866025 − 0.500000I
0.53148 + 2.02988I −5.01951 − 3.46410I
u = 1.000000I
a = 0.37744 + 1.65374I
b = −0.866025 − 0.500000I
0.53148 − 2.02988I −5.01951 + 3.46410I
u = 1.000000I
a = 0.206350 − 0.132315I
b = −0.866025 − 0.500000I
4.66906 − 4.85801I 1.50976 + 6.44355I
u = 1.000000I
a = −1.08379 + 1.38745I
b = 0.866025 − 0.500000I
4.66906 − 0.79824I 1.50976 − 0.48465I
u = 1.000000I
a = 0.20635 + 2.13232I
b = 0.866025 − 0.500000I
4.66906 + 4.85801I 1.50976 − 6.44355I
u = − 1.000000I
a = −1.083790 − 0.612547I
b = −0.866025 + 0.500000I
4.66906 − 0.79824I 1.50976 − 0.48465I
u = − 1.000000I
a = 0.377439 − 0.346257I
b = 0.866025 + 0.500000I
0.53148 − 2.02988I −5.01951 + 3.46410I
u = − 1.000000I
a = 0.37744 − 1.65374I
b = −0.866025 + 0.500000I
0.53148 + 2.02988I −5.01951 − 3.46410I
u = − 1.000000I
a = 0.206350 + 0.132315I
b = −0.866025 + 0.500000I
4.66906 + 4.85801I 1.50976 − 6.44355I
16