![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.869734I
a = −0.225055 + 0.152531I
b = −0.718860 + 0.558616I
−1.32199 −5.17190
u = − 0.869734I
a = −0.225055 − 0.152531I
b = −0.718860 − 0.558616I
−1.32199 −5.17190
u = −1.100240 + 0.309359I
a = 0.430002 + 1.302590I
b = 0.504604 − 0.512077I
−4.63494 + 5.44459I −7.69561 − 8.32422I
u = −1.100240 − 0.309359I
a = 0.430002 − 1.302590I
b = 0.504604 + 0.512077I
−4.63494 − 5.44459I −7.69561 + 8.32422I
u = 1.100240 + 0.309359I
a = −1.59402 − 0.26059I
b = −1.05779 − 1.16536I
−4.63494 − 5.44459I −7.69561 + 8.32422I
u = 1.100240 − 0.309359I
a = −1.59402 + 0.26059I
b = −1.05779 + 1.16536I
−4.63494 + 5.44459I −7.69561 − 8.32422I
u = −1.266100 + 0.207453I
a = 0.621317 + 0.689999I
b = 0.695772 − 0.312580I
−5.47716 − 2.46971I −8.53877 + 0.63512I
u = −1.266100 − 0.207453I
a = 0.621317 − 0.689999I
b = 0.695772 + 0.312580I
−5.47716 + 2.46971I −8.53877 − 0.63512I
u = 1.266100 + 0.207453I
a = −1.294320 + 0.392263I
b = −1.11920 + 0.89289I
−5.47716 + 2.46971I −8.53877 − 0.63512I
u = 1.266100 − 0.207453I
a = −1.294320 − 0.392263I
b = −1.11920 − 0.89289I
−5.47716 − 2.46971I −8.53877 + 0.63512I
10