![](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 = 0.593945 + 0.749573I
a = 0.901534 − 0.870244I
b = −0.062242 + 1.190030I
1.80617 + 0.15475I −5.78761 + 0.24947I
u = 0.593945 − 0.749573I
a = 0.901534 + 0.870244I
b = −0.062242 − 1.190030I
1.80617 − 0.15475I −5.78761 − 0.24947I
u = 0.742600 + 0.805837I
a = −0.823991 + 0.896190I
b = −0.361535 − 1.366300I
1.34574 − 5.46019I −7.11600 + 5.63427I
u = 0.742600 − 0.805837I
a = −0.823991 − 0.896190I
b = −0.361535 + 1.366300I
1.34574 + 5.46019I −7.11600 − 5.63427I
u = 1.049030 + 0.433248I
a = −0.533800 + 0.720846I
b = −0.786836 − 0.158628I
−3.47404 − 1.25358I −14.5901 + 1.6218I
u = 1.049030 − 0.433248I
a = −0.533800 − 0.720846I
b = −0.786836 + 0.158628I
−3.47404 + 1.25358I −14.5901 − 1.6218I
u = 0.723331
a = 0.811887
b = 0.0840139
−1.09578 −8.64200
u = 1.41765 + 0.08558I
a = −0.075401 + 0.848821I
b = −0.300271 + 1.184320I
−0.40356 + 2.62035I −6.94831 − 3.53102I
u = 1.41765 − 0.08558I
a = −0.075401 − 0.848821I
b = −0.300271 − 1.184320I
−0.40356 − 2.62035I −6.94831 + 3.53102I
u = −0.494818 + 0.034941I
a = 0.071730 − 1.233390I
b = −0.12366 − 1.50920I
6.00682 − 3.10793I 1.19914 + 2.44206I
5