![](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 = 0.068968 + 1.151590I
2.32852 + 2.32135I −10.38591 + 0.I
u = 0.068968 − 1.151590I
2.32852 − 2.32135I −10.38591 + 0.I
u = −0.683357 + 0.405926I
5.21260 + 9.77857I −8.26482 − 8.48475I
u = −0.683357 − 0.405926I
5.21260 − 9.77857I −8.26482 + 8.48475I
u = 0.673489 + 0.415868I
6.02949 − 3.89902I −6.63992 + 3.50313I
u = 0.673489 − 0.415868I
6.02949 + 3.89902I −6.63992 − 3.50313I
u = −0.576773 + 0.522352I
5.67693 − 5.57732I −6.94459 + 2.40000I
u = −0.576773 − 0.522352I
5.67693 + 5.57732I −6.94459 − 2.40000I
u = 0.589475 + 0.506546I
6.39491 − 0.29411I −5.62712 + 2.80614I
u = 0.589475 − 0.506546I
6.39491 + 0.29411I −5.62712 − 2.80614I
u = 0.173044 + 1.237190I
−0.64228 − 2.86520I 0
u = 0.173044 − 1.237190I
−0.64228 + 2.86520I 0
u = −0.640543 + 0.369715I
−0.68024 + 4.58900I −13.6527 − 7.1281I
u = −0.640543 − 0.369715I
−0.68024 − 4.58900I −13.6527 + 7.1281I
u = 0.603013 + 0.419142I
2.62424 − 1.94253I −5.82906 + 3.77516I
u = 0.603013 − 0.419142I
2.62424 + 1.94253I −5.82906 − 3.77516I
u = −0.090373 + 1.285590I
3.24763 + 1.60907I 0
u = −0.090373 − 1.285590I
3.24763 − 1.60907I 0
u = 0.218506 + 1.294790I
3.84600 − 8.17225I 0
u = 0.218506 − 1.294790I
3.84600 + 8.17225I 0
u = −0.505212 + 0.440988I
−0.223689 − 0.846659I −12.11040 + 0.46472I
u = −0.505212 − 0.440988I
−0.223689 + 0.846659I −12.11040 − 0.46472I
u = −0.196581 + 1.315430I
4.69521 + 2.82559I 0
u = −0.196581 − 1.315430I
4.69521 − 2.82559I 0
u = 0.627758 + 0.108061I
−0.50327 − 5.09371I −14.3561 + 6.8355I
u = 0.627758 − 0.108061I
−0.50327 + 5.09371I −14.3561 − 6.8355I
u = 0.609769
−4.36789 −20.8280
u = −0.582317 + 0.152321I
0.1388920 − 0.0056976I −12.76408 − 1.77198I
u = −0.582317 − 0.152321I
0.1388920 + 0.0056976I −12.76408 + 1.77198I
u = −0.012644 + 1.408660I
7.96823 + 2.83806I 0
5