![](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 = 0.346412 + 0.925436I
a = −2.05986 + 0.31273I
b = −0.044674 − 1.054040I
−3.85841 + 0.35943I 2.42133 + 0.I
u = 0.346412 − 0.925436I
a = −2.05986 − 0.31273I
b = −0.044674 + 1.054040I
−3.85841 − 0.35943I 2.42133 + 0.I
u = 0.045813 + 1.027510I
a = 0.758381 + 1.185930I
b = −0.156972 + 1.390430I
0.60146 − 4.40690I 7.00000 + 3.71176I
u = 0.045813 − 1.027510I
a = 0.758381 − 1.185930I
b = −0.156972 − 1.390430I
0.60146 + 4.40690I 7.00000 − 3.71176I
u = −0.041627 + 1.032380I
a = −0.801128 + 1.092490I
b = 0.26921 − 1.73433I
4.74716 + 0.24143I 11.20357 + 0.I
u = −0.041627 − 1.032380I
a = −0.801128 − 1.092490I
b = 0.26921 + 1.73433I
4.74716 − 0.24143I 11.20357 + 0.I
u = −0.955497 + 0.038825I
a = 0.667759 − 0.483417I
b = −0.271741 − 1.131810I
3.45574 + 3.28085I 8.60109 − 3.29735I
u = −0.955497 − 0.038825I
a = 0.667759 + 0.483417I
b = −0.271741 + 1.131810I
3.45574 − 3.28085I 8.60109 + 3.29735I
u = 1.032800 + 0.239480I
a = −0.050681 − 0.394512I
b = −0.387740 − 1.305760I
−6.38275 + 5.64915I 0
u = 1.032800 − 0.239480I
a = −0.050681 + 0.394512I
b = −0.387740 + 1.305760I
−6.38275 − 5.64915I 0
5