![](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 = 0.217775 + 0.986965I
a = 0.478937 − 0.405328I
b = −0.504345 − 0.384424I
−5.08086 + 0.15570I −9.83989 − 1.69370I
u = 0.217775 − 0.986965I
a = 0.478937 + 0.405328I
b = −0.504345 + 0.384424I
−5.08086 − 0.15570I −9.83989 + 1.69370I
u = 0.795838 + 0.548145I
a = 0.160432 + 0.477438I
b = 0.134027 − 0.467904I
2.99441 + 1.56903I 2.04971 − 2.63058I
u = 0.795838 − 0.548145I
a = 0.160432 − 0.477438I
b = 0.134027 + 0.467904I
2.99441 − 1.56903I 2.04971 + 2.63058I
u = 0.395368 + 0.848396I
a = −0.328402 + 0.067571I
b = 0.187167 + 0.251900I
−0.32291 + 1.65676I −2.57784 − 5.09388I
u = 0.395368 − 0.848396I
a = −0.328402 − 0.067571I
b = 0.187167 − 0.251900I
−0.32291 − 1.65676I −2.57784 + 5.09388I
u = 0.835550 + 0.682012I
a = −0.122808 − 0.434535I
b = −0.193746 + 0.446832I
−1.08176 + 5.00495I −4.00000 − 5.49460I
u = 0.835550 − 0.682012I
a = −0.122808 + 0.434535I
b = −0.193746 − 0.446832I
−1.08176 − 5.00495I −4.00000 + 5.49460I
u = 0.820354 + 0.374203I
a = −0.141671 − 0.553737I
b = −0.090989 + 0.507274I
−0.79445 − 1.82967I −2.60045 + 1.37386I
u = 0.820354 − 0.374203I
a = −0.141671 + 0.553737I
b = −0.090989 − 0.507274I
−0.79445 + 1.82967I −2.60045 − 1.37386I
5