![](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 = 0.858928
a = −0.109294
b = −0.665442
−6.60134 −10.5000
u = −0.057867 + 1.252230I
a = 0.540753 − 0.387507I
b = −0.147291 + 0.486948I
3.16264 + 1.26178I −8.12371 − 5.07005I
u = −0.057867 − 1.252230I
a = 0.540753 + 0.387507I
b = −0.147291 − 0.486948I
3.16264 − 1.26178I −8.12371 + 5.07005I
u = 0.606137 + 0.416811I
a = −0.101897 − 1.053150I
b = 1.314670 − 0.337317I
2.36646 − 1.94252I −10.80294 + 5.02822I
u = 0.606137 − 0.416811I
a = −0.101897 + 1.053150I
b = 1.314670 + 0.337317I
2.36646 + 1.94252I −10.80294 − 5.02822I
u = 1.116120 + 0.614225I
a = 0.611664 + 0.699390I
b = −1.89280 + 0.05423I
14.8430 − 3.5814I −10.19251 + 1.82347I
u = 1.116120 − 0.614225I
a = 0.611664 − 0.699390I
b = −1.89280 − 0.05423I
14.8430 + 3.5814I −10.19251 − 1.82347I
u = 0.396990 + 1.275890I
a = 0.477782 + 0.520657I
b = −0.666680 − 0.056910I
−2.63737 − 4.50416I −7.28522 + 5.75195I
u = 0.396990 − 1.275890I
a = 0.477782 − 0.520657I
b = −0.666680 + 0.056910I
−2.63737 + 4.50416I −7.28522 − 5.75195I
u = 0.22659 + 1.45890I
a = −2.00625 − 0.57060I
b = 1.74247 − 0.66474I
8.40238 − 5.00923I −8.98141 + 6.39703I
5