![](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 = 0.784082 + 0.635234I
−1.91993 + 3.95621I −4.32723 − 2.21514I
u = 0.784082 − 0.635234I
−1.91993 − 3.95621I −4.32723 + 2.21514I
u = −0.799722 + 0.633488I
−4.89200 − 8.77056I −7.47137 + 5.34591I
u = −0.799722 − 0.633488I
−4.89200 + 8.77056I −7.47137 − 5.34591I
u = 0.695449 + 0.747109I
−3.52521 + 0.06578I −10.04150 − 0.64430I
u = 0.695449 − 0.747109I
−3.52521 − 0.06578I −10.04150 + 0.64430I
u = −0.785485 + 0.659519I
−5.96663 − 0.17301I −9.26357 − 0.91884I
u = −0.785485 − 0.659519I
−5.96663 + 0.17301I −9.26357 + 0.91884I
u = 0.515960 + 0.907861I
−2.45106 − 5.66045I −4.09002 + 7.28827I
u = 0.515960 − 0.907861I
−2.45106 + 5.66045I −4.09002 − 7.28827I
u = 0.087591 + 1.044510I
0.0418156 + 0.0593950I −1.97321 + 0.28127I
u = 0.087591 − 1.044510I
0.0418156 − 0.0593950I −1.97321 − 0.28127I
u = 0.732924 + 0.589195I
1.02771 + 3.24584I −2.27897 − 4.07779I
u = 0.732924 − 0.589195I
1.02771 − 3.24584I −2.27897 + 4.07779I
u = −0.518072 + 0.766150I
−0.11478 + 1.78039I −0.55066 − 3.60054I
u = −0.518072 − 0.766150I
−0.11478 − 1.78039I −0.55066 + 3.60054I
u = −0.066273 + 1.075310I
4.04900 + 3.40061I 3.11315 − 3.08609I
u = −0.066273 − 1.075310I
4.04900 − 3.40061I 3.11315 + 3.08609I
u = −0.013325 + 1.085250I
6.52620 + 2.29211I 4.76004 − 3.60647I
u = −0.013325 − 1.085250I
6.52620 − 2.29211I 4.76004 + 3.60647I
u = 0.080625 + 1.087480I
1.25671 − 8.17694I 0. + 6.49947I
u = 0.080625 − 1.087480I
1.25671 + 8.17694I 0. − 6.49947I
u = −0.682148 + 0.562866I
1.33027 + 1.15553I −1.16546 − 3.23863I
u = −0.682148 − 0.562866I
1.33027 − 1.15553I −1.16546 + 3.23863I
u = 0.741553 + 0.863345I
−5.44101 − 2.81013I −7.05601 + 3.05455I
u = 0.741553 − 0.863345I
−5.44101 + 2.81013I −7.05601 − 3.05455I
u = −0.757396 + 0.852445I
−8.97089 − 1.53080I −10.56468 + 0.I
u = −0.757396 − 0.852445I
−8.97089 + 1.53080I −10.56468 + 0.I
u = 0.578305 + 0.998594I
−1.71452 + 1.81047I 0
u = 0.578305 − 0.998594I
−1.71452 − 1.81047I 0
5