![](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 = −0.989783 + 0.381937I
−1.69471 + 1.40484I −1.50927 − 0.52948I
u = −0.989783 − 0.381937I
−1.69471 − 1.40484I −1.50927 + 0.52948I
u = −0.728347 + 0.560551I
−1.44038 + 2.19128I 1.23919 − 3.85718I
u = −0.728347 − 0.560551I
−1.44038 − 2.19128I 1.23919 + 3.85718I
u = 1.068410 + 0.522447I
−0.56380 − 5.07185I 1.67153 + 6.33126I
u = 1.068410 − 0.522447I
−0.56380 + 5.07185I 1.67153 − 6.33126I
u = 1.157220 + 0.286866I
−7.82627 + 0.47055I −5.32829 + 0.18349I
u = 1.157220 − 0.286866I
−7.82627 − 0.47055I −5.32829 − 0.18349I
u = −0.268039 + 0.757899I
−3.51248 − 3.62879I 0.33383 + 2.63226I
u = −0.268039 − 0.757899I
−3.51248 + 3.62879I 0.33383 − 2.63226I
u = −1.142590 + 0.546762I
−6.06421 + 8.53123I −2.72348 − 6.18031I
u = −1.142590 − 0.546762I
−6.06421 − 8.53123I −2.72348 + 6.18031I
u = 0.403136 + 0.584808I
1.36265 + 0.62859I 6.31651 − 1.42251I
u = 0.403136 − 0.584808I
1.36265 − 0.62859I 6.31651 + 1.42251I
5