![](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 = −0.999576 + 0.200215I
a = 0.056971 − 0.695193I
b = −0.369310 − 0.746851I
−1.89161 + 0.09963I −2.61530 − 0.73623I
u = −0.999576 − 0.200215I
a = 0.056971 + 0.695193I
b = −0.369310 + 0.746851I
−1.89161 − 0.09963I −2.61530 + 0.73623I
u = 0.813130 + 0.646744I
a = 0.722059 + 0.136619I
b = 0.112951 + 0.378161I
1.32145 − 0.50921I 7.89189 + 0.74907I
u = 0.813130 − 0.646744I
a = 0.722059 − 0.136619I
b = 0.112951 − 0.378161I
1.32145 + 0.50921I 7.89189 − 0.74907I
u = −0.859323 + 0.602277I
a = −0.910439 + 0.753077I
b = −0.069617 − 0.196529I
−1.40206 − 1.58564I 1.82793 − 1.68869I
u = −0.859323 − 0.602277I
a = −0.910439 − 0.753077I
b = −0.069617 + 0.196529I
−1.40206 + 1.58564I 1.82793 + 1.68869I
u = 0.107451 + 0.916597I
a = −0.492470 − 0.528025I
b = −1.308180 + 0.112852I
1.02545 − 1.78671I 7.36667 + 4.23667I
u = 0.107451 − 0.916597I
a = −0.492470 + 0.528025I
b = −1.308180 − 0.112852I
1.02545 + 1.78671I 7.36667 − 4.23667I
u = 1.035250 + 0.334870I
a = 0.084787 − 0.942859I
b = −0.049724 − 0.771785I
−0.03561 − 4.27592I 3.10305 + 6.89248I
u = 1.035250 − 0.334870I
a = 0.084787 + 0.942859I
b = −0.049724 + 0.771785I
−0.03561 + 4.27592I 3.10305 − 6.89248I
11