![](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 = 0.457945 + 0.892866I
−1.71286 + 2.75389I −6.34294 − 3.07234I
u = 0.457945 − 0.892866I
−1.71286 − 2.75389I −6.34294 + 3.07234I
u = 0.572730 + 0.813144I
−1.00719 + 4.98869I −3.18777 − 7.70135I
u = 0.572730 − 0.813144I
−1.00719 − 4.98869I −3.18777 + 7.70135I
u = −0.429825 + 0.920962I
−7.86744 − 0.15769I −10.16108 + 3.00425I
u = −0.429825 − 0.920962I
−7.86744 + 0.15769I −10.16108 − 3.00425I
u = −0.490682 + 0.914221I
−1.20646 − 6.61760I −4.55514 + 9.49134I
u = −0.490682 − 0.914221I
−1.20646 + 6.61760I −4.55514 − 9.49134I
u = 0.493153 + 0.936516I
−7.05643 + 9.90285I −8.45292 − 8.93815I
u = 0.493153 − 0.936516I
−7.05643 − 9.90285I −8.45292 + 8.93815I
u = −0.036116 + 0.938626I
−10.01760 − 4.89958I −13.7857 + 3.6935I
u = −0.036116 − 0.938626I
−10.01760 + 4.89958I −13.7857 − 3.6935I
u = −0.575852 + 0.733397I
2.95450 − 2.17059I 3.89779 + 4.69702I
u = −0.575852 − 0.733397I
2.95450 + 2.17059I 3.89779 − 4.69702I
u = 0.023560 + 0.907629I
−4.02491 + 1.91090I −10.66650 − 3.96746I
u = 0.023560 − 0.907629I
−4.02491 − 1.91090I −10.66650 + 3.96746I
u = 0.610238 + 0.641474I
−0.472073 − 0.554107I −1.056775 + 0.178286I
u = 0.610238 − 0.641474I
−0.472073 + 0.554107I −1.056775 − 0.178286I
u = −0.217456 + 0.806943I
−4.96706 − 2.01723I −11.79175 + 5.17722I
u = −0.217456 − 0.806943I
−4.96706 + 2.01723I −11.79175 − 5.17722I
u = 0.661436 + 0.434620I
−5.46999 − 5.61580I −4.48224 + 3.23992I
u = 0.661436 − 0.434620I
−5.46999 + 5.61580I −4.48224 − 3.23992I
u = −0.618304 + 0.456294I
0.22206 + 2.44713I −0.32336 − 3.63578I
u = −0.618304 − 0.456294I
0.22206 − 2.44713I −0.32336 + 3.63578I
u = 0.876686 + 0.875322I
0.37975 + 3.02773I 0
u = 0.876686 − 0.875322I
0.37975 − 3.02773I 0
u = −0.890877 + 0.888837I
6.84069 − 0.89167I 0
u = −0.890877 − 0.888837I
6.84069 + 0.89167I 0
u = −0.907804 + 0.877338I
2.05866 + 6.62991I 0
u = −0.907804 − 0.877338I
2.05866 − 6.62991I 0
5