![](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 = −0.941429 + 0.547698I
0.197299 −2.26625 + 0.I
u = −0.941429 − 0.547698I
0.197299 −2.26625 + 0.I
u = −1.061040 + 0.273586I
−2.27340 + 0.51998I −5.71661 − 0.77505I
u = −1.061040 − 0.273586I
−2.27340 − 0.51998I −5.71661 + 0.77505I
u = −0.626658 + 0.633601I
1.11960 + 4.65452I −0.79654 − 6.04247I
u = −0.626658 − 0.633601I
1.11960 − 4.65452I −0.79654 + 6.04247I
u = 1.128770 + 0.240119I
−4.83313 + 3.92983I −9.04400 − 3.21471I
u = 1.128770 − 0.240119I
−4.83313 − 3.92983I −9.04400 + 3.21471I
u = 1.016360 + 0.552370I
1.11960 − 4.65452I −0.79654 + 6.04247I
u = 1.016360 − 0.552370I
1.11960 + 4.65452I −0.79654 − 6.04247I
u = −0.330984 + 0.758157I
−0.32496 − 6.68616I −2.49331 + 5.21994I
u = −0.330984 − 0.758157I
−0.32496 + 6.68616I −2.49331 − 5.21994I
u = 0.527984 + 0.630206I
2.55688 2.36717 + 0.I
u = 0.527984 − 0.630206I
2.55688 2.36717 + 0.I
u = −1.119570 + 0.508145I
−4.83313 + 3.92983I −9.04400 − 3.21471I
u = −1.119570 − 0.508145I
−4.83313 − 3.92983I −9.04400 + 3.21471I
u = 1.102100 + 0.557039I
−0.32496 − 6.68616I −2.49331 + 5.21994I
u = 1.102100 − 0.557039I
−0.32496 + 6.68616I −2.49331 − 5.21994I
u = −0.195538 + 0.653472I
−2.27340 + 0.51998I −5.71661 − 0.77505I
u = −0.195538 − 0.653472I
−2.27340 − 0.51998I −5.71661 + 0.77505I
9