![](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 = −0.441064 + 0.891798I
a = −1.020870 − 0.571634I
b = 0.328536 + 0.775979I
−0.83694 − 5.74776I 0. + 9.66844I
u = −0.441064 − 0.891798I
a = −1.020870 + 0.571634I
b = 0.328536 − 0.775979I
−0.83694 + 5.74776I 0. − 9.66844I
u = 0.049379 + 1.054040I
a = −0.0434698 + 0.0967864I
b = −0.695181 − 0.606165I
0.26646 + 4.82522I 1.00000 − 6.65378I
u = 0.049379 − 1.054040I
a = −0.0434698 − 0.0967864I
b = −0.695181 + 0.606165I
0.26646 − 4.82522I 1.00000 + 6.65378I
u = 0.648943 + 0.852337I
a = 0.538490 + 0.498386I
b = −0.203229 − 0.464579I
0.64509 + 2.50411I −2.75636 − 4.40791I
u = 0.648943 − 0.852337I
a = 0.538490 − 0.498386I
b = −0.203229 + 0.464579I
0.64509 − 2.50411I −2.75636 + 4.40791I
u = −0.499123 + 0.779146I
a = −1.020240 − 0.640877I
b = −0.424147 − 0.588184I
3.37085 − 3.65736I 8.56973 + 8.26952I
u = −0.499123 − 0.779146I
a = −1.020240 + 0.640877I
b = −0.424147 + 0.588184I
3.37085 + 3.65736I 8.56973 − 8.26952I
u = 0.360123 + 0.813464I
a = −0.143330 + 0.781657I
b = 0.328335 − 0.649856I
−0.31212 + 1.82370I −0.23465 − 3.74406I
u = 0.360123 − 0.813464I
a = −0.143330 − 0.781657I
b = 0.328335 + 0.649856I
−0.31212 − 1.82370I −0.23465 + 3.74406I
5