![](data:image/png;base64,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)
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.230058 − 0.974073I
b = 0.47792 + 2.18649I
4.37135 + 5.39594I 7.28409 − 7.62995I
u = −0.500000 + 0.866025I
a = −0.059643 + 0.996048I
b = 0.11516 − 1.92059I
−1.78344 + 6.15314I −0.51499 − 11.09103I
u = −0.500000 + 0.866025I
a = 0.134816 − 0.936195I
b = −0.963253 + 0.522002I
−1.78344 + 1.96639I −0.51499 − 2.76537I
u = −0.500000 + 0.866025I
a = 0.206770 + 1.051500I
b = −0.35966 − 2.31708I
3.59813 + 11.14470I 5.57680 − 12.84155I
u = −0.500000 + 0.866025I
a = 0.437408 − 0.992085I
b = −1.14872 + 1.23939I
0.61694 + 6.51418I 2.32792 − 9.84118I
u = −0.500000 + 0.866025I
a = −0.374860 + 1.040260I
b = 0.94469 − 1.53262I
0.61694 + 1.60535I 2.32792 − 4.01523I
u = −0.500000 + 0.866025I
a = −1.007240 + 0.499722I
b = 0.295924 − 0.252417I
0.61694 + 6.51418I 2.32792 − 9.84118I
u = −0.500000 + 0.866025I
a = 1.086170 − 0.792955I
b = −0.516345 + 0.300592I
0.61694 + 1.60535I 2.32792 − 4.01523I
u = −0.500000 + 0.866025I
a = 0.007976 − 0.628437I
b = 0.404990 + 1.343720I
1.19845 + 4.05977I 8.65235 − 6.92820I
u = −0.500000 + 0.866025I
a = −0.420943 + 1.343720I
b = 0.833909 − 0.628437I
1.19845 + 4.05977I 8.65235 − 6.92820I
16