![](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 = −0.840906 + 0.541453I
a = −1.68268 − 0.94647I
b = −0.79895 + 1.76961I
0.64575 + 6.76137I −3.02362 − 9.36135I
u = −0.840906 − 0.541453I
a = −1.68268 + 0.94647I
b = −0.79895 − 1.76961I
0.64575 − 6.76137I −3.02362 + 9.36135I
u = 0.996210 + 0.105534I
a = −0.88720 − 1.68128I
b = −0.755001 − 0.743583I
−3.62273 − 3.17922I −12.49077 + 5.37603I
u = 0.996210 − 0.105534I
a = −0.88720 + 1.68128I
b = −0.755001 + 0.743583I
−3.62273 + 3.17922I −12.49077 − 5.37603I
u = −0.827181 + 0.584200I
a = 0.631027 + 0.169558I
b = −0.131814 − 1.265700I
8.49998 + 4.71847I 2.64745 − 4.37235I
u = −0.827181 − 0.584200I
a = 0.631027 − 0.169558I
b = −0.131814 + 1.265700I
8.49998 − 4.71847I 2.64745 + 4.37235I
u = 0.865742 + 0.583006I
a = 1.67800 − 0.77268I
b = 0.55259 + 1.85985I
6.64125 − 10.66220I 0. + 8.92755I
u = 0.865742 − 0.583006I
a = 1.67800 + 0.77268I
b = 0.55259 − 1.85985I
6.64125 + 10.66220I 0. − 8.92755I
u = −0.884770 + 0.361343I
a = 1.31924 − 0.62047I
b = −0.0505122 − 0.1233410I
−2.02149 + 1.35661I −10.70049 − 3.21023I
u = −0.884770 − 0.361343I
a = 1.31924 + 0.62047I
b = −0.0505122 + 0.1233410I
−2.02149 − 1.35661I −10.70049 + 3.21023I
5