![](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 = −0.497159 + 0.687033I
−12.69280 + 2.28721I −7.99809 − 2.91340I
u = −0.497159 − 0.687033I
−12.69280 − 2.28721I −7.99809 + 2.91340I
u = −0.514014 + 0.669274I
−8.53754 − 4.85587I −4.54813 + 1.85081I
u = −0.514014 − 0.669274I
−8.53754 + 4.85587I −4.54813 − 1.85081I
u = −0.476017 + 0.696319I
−8.40118 + 9.40330I −4.15224 − 7.59831I
u = −0.476017 − 0.696319I
−8.40118 − 9.40330I −4.15224 + 7.59831I
u = 0.476316 + 0.685506I
−6.77395 − 3.90642I −1.99681 + 3.09904I
u = 0.476316 − 0.685506I
−6.77395 + 3.90642I −1.99681 − 3.09904I
u = 0.502151 + 0.665862I
−6.86920 − 0.58725I −2.24865 + 2.79780I
u = 0.502151 − 0.665862I
−6.86920 + 0.58725I −2.24865 − 2.79780I
u = −1.230860 + 0.105090I
−0.223422 − 0.095504I 0
u = −1.230860 − 0.105090I
−0.223422 + 0.095504I 0
u = 1.252200 + 0.136529I
−0.53663 − 5.16209I 0
u = 1.252200 − 0.136529I
−0.53663 + 5.16209I 0
u = −1.30322
−3.07453 0
u = 0.288268 + 0.603646I
0.37640 − 6.82727I −0.33113 + 9.54781I
u = 0.288268 − 0.603646I
0.37640 + 6.82727I −0.33113 − 9.54781I
u = 0.379930 + 0.522272I
−3.67336 − 1.67891I −7.63362 + 4.68207I
u = 0.379930 − 0.522272I
−3.67336 + 1.67891I −7.63362 − 4.68207I
u = −0.255571 + 0.575911I
1.26731 + 1.64575I 2.07350 − 4.49112I
u = −0.255571 − 0.575911I
1.26731 − 1.64575I 2.07350 + 4.49112I
u = 1.378680 + 0.061133I
−5.19429 − 2.37699I 0
u = 1.378680 − 0.061133I
−5.19429 + 2.37699I 0
u = 0.479281 + 0.376899I
−0.51645 + 3.54279I −3.97592 − 2.38269I
u = 0.479281 − 0.376899I
−0.51645 − 3.54279I −3.97592 + 2.38269I
u = 1.384830 + 0.203376I
−3.94332 − 4.47861I 0
u = 1.384830 − 0.203376I
−3.94332 + 4.47861I 0
u = 1.395460 + 0.136782I
−5.14352 − 2.78940I 0
u = 1.395460 − 0.136782I
−5.14352 + 2.78940I 0
u = −1.396860 + 0.217411I
−4.98503 + 9.81269I 0
5