![](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 = −0.007607 + 0.949634I
18.4290 + 3.4609I −3.93136 − 2.23046I
u = −0.007607 − 0.949634I
18.4290 − 3.4609I −3.93136 + 2.23046I
u = −1.101030 + 0.131890I
−1.54609 + 0.69516I −7.68521 − 0.30999I
u = −1.101030 − 0.131890I
−1.54609 − 0.69516I −7.68521 + 0.30999I
u = −0.038091 + 0.788227I
7.04605 + 2.82035I −3.80057 − 3.20704I
u = −0.038091 − 0.788227I
7.04605 − 2.82035I −3.80057 + 3.20704I
u = 1.24407
−5.00568 −19.1740
u = 1.239950 + 0.176027I
−3.11470 − 3.99252I −13.6755 + 7.5015I
u = 1.239950 − 0.176027I
−3.11470 + 3.99252I −13.6755 − 7.5015I
u = −1.204290 + 0.369958I
3.49001 + 1.34947I −7.27011 − 0.63614I
u = −1.204290 − 0.369958I
3.49001 − 1.34947I −7.27011 + 0.63614I
u = 1.261210 + 0.352418I
3.03541 − 6.91001I −8.48791 + 6.50357I
u = 1.261210 − 0.352418I
3.03541 + 6.91001I −8.48791 − 6.50357I
u = −1.293390 + 0.470696I
14.4385 + 1.5977I −7.05732 − 0.65036I
u = −1.293390 − 0.470696I
14.4385 − 1.5977I −7.05732 + 0.65036I
u = 1.304330 + 0.464606I
14.3498 − 8.5006I −7.22483 + 5.05516I
u = 1.304330 − 0.464606I
14.3498 + 8.5006I −7.22483 − 5.05516I
u = −0.133388 + 0.482581I
0.98038 + 1.64938I −5.14084 − 6.42836I
u = −0.133388 − 0.482581I
0.98038 − 1.64938I −5.14084 + 6.42836I
u = −0.299460
−0.645282 −16.2790
5