![](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 = −0.856412 + 0.448917I
a = 0.069748 − 0.309881I
b = 0.045178 + 1.220370I
2.51877 − 0.25684I −5.58857 − 0.91280I
u = −0.856412 − 0.448917I
a = 0.069748 + 0.309881I
b = 0.045178 − 1.220370I
2.51877 + 0.25684I −5.58857 + 0.91280I
u = −0.977737 + 0.387234I
a = −0.646202 + 0.329883I
b = −0.199913 − 1.371860I
2.99290 − 0.67802I −7.00000 + 0.I
u = −0.977737 − 0.387234I
a = −0.646202 − 0.329883I
b = −0.199913 + 1.371860I
2.99290 + 0.67802I −7.00000 + 0.I
u = 0.791019 + 0.508592I
a = −0.325990 − 0.504077I
b = −0.39274 + 1.43077I
1.89650 + 6.03755I −6.88192 − 4.20349I
u = 0.791019 − 0.508592I
a = −0.325990 + 0.504077I
b = −0.39274 − 1.43077I
1.89650 − 6.03755I −6.88192 + 4.20349I
u = 1.068800 + 0.379471I
a = 0.494885 + 0.197200I
b = −0.116006 − 1.361990I
3.09128 − 5.18590I 0
u = 1.068800 − 0.379471I
a = 0.494885 − 0.197200I
b = −0.116006 + 1.361990I
3.09128 + 5.18590I 0
u = 0.301071 + 0.803639I
a = 1.174960 − 0.782603I
b = −0.48181 − 1.50728I
3.49971 − 10.62980I −5.43356 + 8.51745I
u = 0.301071 − 0.803639I
a = 1.174960 + 0.782603I
b = −0.48181 + 1.50728I
3.49971 + 10.62980I −5.43356 − 8.51745I
5