![](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 = 0.967423 + 0.260583I
a = 0.627804 + 1.056130I
b = −1.319340 + 0.362799I
−2.91424 − 1.01446I −13.8448 + 3.4634I
u = 0.967423 − 0.260583I
a = 0.627804 − 1.056130I
b = −1.319340 − 0.362799I
−2.91424 + 1.01446I −13.8448 − 3.4634I
u = 0.621778 + 0.693973I
a = 0.397335 + 0.291212I
b = 0.413369 − 0.750070I
5.16227 + 0.77044I 1.44992 − 1.15350I
u = 0.621778 − 0.693973I
a = 0.397335 − 0.291212I
b = 0.413369 + 0.750070I
5.16227 − 0.77044I 1.44992 + 1.15350I
u = −1.098490 + 0.430040I
a = −1.301070 + 0.027752I
b = 0.572756 + 1.038920I
−0.61146 + 7.14320I −2.82030 − 10.67450I
u = −1.098490 − 0.430040I
a = −1.301070 − 0.027752I
b = 0.572756 − 1.038920I
−0.61146 − 7.14320I −2.82030 + 10.67450I
u = −0.559053 + 0.594149I
a = −0.845016 + 1.074360I
b = −0.103563 − 0.865167I
4.82955 + 1.88334I 1.73721 − 3.17108I
u = −0.559053 − 0.594149I
a = −0.845016 − 1.074360I
b = −0.103563 + 0.865167I
4.82955 − 1.88334I 1.73721 + 3.17108I
u = 0.788679
a = −1.39709
b = −1.03110
−2.80604 −17.9130
u = −0.710332 + 0.307022I
a = 0.56513 + 2.82017I
b = 1.154600 − 0.699829I
0.95927 − 4.03991I −4.51618 + 5.27989I
17