![](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 = 0.387590 + 0.911908I
a = −0.971331 − 0.325235I
b = 0.764541 − 0.597354I
−2.61027 − 2.03740I −5.72892 + 3.65159I
u = 0.387590 − 0.911908I
a = −0.971331 + 0.325235I
b = 0.764541 + 0.597354I
−2.61027 + 2.03740I −5.72892 − 3.65159I
u = 0.695393 + 0.752192I
a = −0.0733729 + 0.1016160I
b = 0.382217 + 0.951284I
−3.58550 − 3.36599I −6.85826 + 4.39505I
u = 0.695393 − 0.752192I
a = −0.0733729 − 0.1016160I
b = 0.382217 − 0.951284I
−3.58550 + 3.36599I −6.85826 − 4.39505I
u = 0.883212
a = −5.41324
b = −1.04711
0.458131 −57.1150
u = 1.149310 + 0.071261I
a = −2.67006 + 0.97064I
b = −0.783716 + 0.351647I
−0.578838 − 1.255810I 2.38019 + 0.I
u = 1.149310 − 0.071261I
a = −2.67006 − 0.97064I
b = −0.783716 − 0.351647I
−0.578838 + 1.255810I 2.38019 + 0.I
u = 0.508644 + 1.042800I
a = −0.681098 − 0.649137I
b = 1.178240 − 0.659530I
−1.17487 − 9.23550I 0. + 7.03311I
u = 0.508644 − 1.042800I
a = −0.681098 + 0.649137I
b = 1.178240 + 0.659530I
−1.17487 + 9.23550I 0. − 7.03311I
u = −0.817513 + 0.853964I
a = −0.255534 + 0.434819I
b = 0.895543 + 0.128230I
4.46595 + 3.11596I −9.1421 − 11.7493I
5