![](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 = 0.382879 + 0.913206I
−0.08570 + 6.28148I −8.16298 − 10.47100I
u = 0.382879 − 0.913206I
−0.08570 − 6.28148I −8.16298 + 10.47100I
u = 0.008475 + 0.965301I
6.38651 − 3.25280I −8.46380 + 2.37401I
u = 0.008475 − 0.965301I
6.38651 + 3.25280I −8.46380 − 2.37401I
u = −0.413985 + 0.853429I
0.89586 − 2.03383I −4.23793 + 3.81818I
u = −0.413985 − 0.853429I
0.89586 + 2.03383I −4.23793 − 3.81818I
u = −0.456667 + 0.956333I
9.00501 − 2.08590I −4.31423 + 3.31096I
u = −0.456667 − 0.956333I
9.00501 + 2.08590I −4.31423 − 3.31096I
u = 0.446885 + 0.962913I
8.85349 + 8.66849I −4.72563 − 8.03831I
u = 0.446885 − 0.962913I
8.85349 − 8.66849I −4.72563 + 8.03831I
u = 0.276872 + 0.873166I
−3.20238 + 2.30452I −16.3116 − 5.9470I
u = 0.276872 − 0.873166I
−3.20238 − 2.30452I −16.3116 + 5.9470I
u = 0.112869 + 0.850703I
−1.52782 − 1.56803I −12.46880 + 3.57703I
u = 0.112869 − 0.850703I
−1.52782 + 1.56803I −12.46880 − 3.57703I
u = −0.820103 + 0.872946I
3.33252 − 0.63798I −8.00000 − 1.61055I
u = −0.820103 − 0.872946I
3.33252 + 0.63798I −8.00000 + 1.61055I
u = −0.866477 + 0.852451I
7.76984 + 3.47355I −2.51866 − 3.95961I
u = −0.866477 − 0.852451I
7.76984 − 3.47355I −2.51866 + 3.95961I
u = −0.808162 + 0.922528I
3.18030 − 5.45437I −8.00000 + 6.66748I
u = −0.808162 − 0.922528I
3.18030 + 5.45437I −8.00000 − 6.66748I
u = −0.680659 + 0.361501I
10.90210 − 2.07362I 0.04088 + 2.30391I
u = −0.680659 − 0.361501I
10.90210 + 2.07362I 0.04088 − 2.30391I
u = 0.867742 + 0.871991I
8.77828 + 1.40174I 0. − 2.33106I
u = 0.867742 − 0.871991I
8.77828 − 1.40174I 0. + 2.33106I
u = 0.835618 + 0.904887I
6.11156 + 3.11267I 0. − 2.66928I
u = 0.835618 − 0.904887I
6.11156 − 3.11267I 0. + 2.66928I
u = 0.681301 + 0.344571I
10.82780 − 4.54766I −0.10220 + 2.48977I
u = 0.681301 − 0.344571I
10.82780 + 4.54766I −0.10220 − 2.48977I
u = −0.284938 + 0.707717I
−0.343803 − 1.199580I −4.23003 + 5.53729I
u = −0.284938 − 0.707717I
−0.343803 + 1.199580I −4.23003 − 5.53729I
5