![](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 = −0.431291 + 0.935489I
a = −0.956425 − 0.649337I
b = −0.249448 − 0.237320I
2.64508 + 4.13131I 2.00000 − 1.07938I
u = −0.431291 + 0.935489I
a = −0.107831 + 0.316363I
b = 1.019950 − 0.614672I
2.64508 + 4.13131I 2.00000 − 1.07938I
u = −0.431291 − 0.935489I
a = −0.956425 + 0.649337I
b = −0.249448 + 0.237320I
2.64508 − 4.13131I 2.00000 + 1.07938I
u = −0.431291 − 0.935489I
a = −0.107831 − 0.316363I
b = 1.019950 + 0.614672I
2.64508 − 4.13131I 2.00000 + 1.07938I
u = 0.772766 + 0.711176I
a = 0.805503 − 1.026110I
b = −1.37402 + 0.41443I
−4.52142 + 6.63284I −2.00159 − 6.22856I
u = 0.772766 + 0.711176I
a = −0.695473 + 1.176340I
b = 1.352210 − 0.220085I
−4.52142 + 6.63284I −2.00159 − 6.22856I
u = 0.772766 − 0.711176I
a = 0.805503 + 1.026110I
b = −1.37402 − 0.41443I
−4.52142 − 6.63284I −2.00159 + 6.22856I
u = 0.772766 − 0.711176I
a = −0.695473 − 1.176340I
b = 1.352210 + 0.220085I
−4.52142 − 6.63284I −2.00159 + 6.22856I
u = 1.042100 + 0.409476I
a = −1.038010 + 0.351756I
b = 1.379790 − 0.010337I
−3.43055 − 0.83324I 0
u = 1.042100 + 0.409476I
a = 1.143580 − 0.459271I
b = −1.225740 − 0.058473I
−3.43055 − 0.83324I 0
11