![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.109909 + 1.074360I
a = −0.19447 − 2.65794I
b = −0.18082 + 1.92265I
3.01018 + 5.17259I 0.22749 − 12.15389I
u = −0.109909 − 1.074360I
a = −0.19447 + 2.65794I
b = −0.18082 − 1.92265I
3.01018 − 5.17259I 0.22749 + 12.15389I
u = 0.449269 + 1.114270I
a = −0.015790 + 0.270852I
b = −0.719851 − 0.020388I
−0.29233 − 3.70382I −8.25691 + 5.45417I
u = 0.449269 − 1.114270I
a = −0.015790 − 0.270852I
b = −0.719851 + 0.020388I
−0.29233 + 3.70382I −8.25691 − 5.45417I
u = 0.719851 + 0.020388I
a = −0.424674 + 0.156629I
b = −0.449269 − 1.114270I
−0.29233 − 3.70382I −8.25691 + 5.45417I
u = 0.719851 − 0.020388I
a = −0.424674 − 0.156629I
b = −0.449269 + 1.114270I
−0.29233 + 3.70382I −8.25691 − 5.45417I
u = 0.259964 + 0.489435I
a = −0.96167 + 1.81054I
b = −0.259964 + 0.489435I
−2.14584 −12.94116 + 0.I
u = 0.259964 − 0.489435I
a = −0.96167 − 1.81054I
b = −0.259964 − 0.489435I
−2.14584 −12.94116 + 0.I
u = 0.18082 + 1.92265I
a = 0.09660 − 1.48727I
b = 0.109909 + 1.074360I
3.01018 − 5.17259I 0.22749 + 12.15389I
u = 0.18082 − 1.92265I
a = 0.09660 + 1.48727I
b = 0.109909 − 1.074360I
3.01018 + 5.17259I 0.22749 − 12.15389I
27