![](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 = 0.076903 + 1.006450I
a = −1.28833 + 1.08624I
b = −0.344784 − 0.561209I
13.5757 − 4.4662I 2.93957 + 1.91782I
u = 0.076903 − 1.006450I
a = −1.28833 − 1.08624I
b = −0.344784 + 0.561209I
13.5757 + 4.4662I 2.93957 − 1.91782I
u = −0.995392 + 0.405067I
a = 0.702879 + 0.603320I
b = −0.30791 − 1.68630I
0.05634 − 3.87007I −0.55814 + 7.00568I
u = −0.995392 − 0.405067I
a = 0.702879 − 0.603320I
b = −0.30791 + 1.68630I
0.05634 + 3.87007I −0.55814 − 7.00568I
u = 0.194679 + 0.752552I
a = 0.913683 + 0.406237I
b = 0.274898 + 0.378400I
2.46422 + 0.66350I 3.92785 − 1.28554I
u = 0.194679 − 0.752552I
a = 0.913683 − 0.406237I
b = 0.274898 − 0.378400I
2.46422 − 0.66350I 3.92785 + 1.28554I
u = 1.122330 + 0.557673I
a = 0.129300 + 0.669933I
b = −0.93908 − 1.59767I
5.04445 + 4.17066I 6.60682 − 3.70952I
u = 1.122330 − 0.557673I
a = 0.129300 − 0.669933I
b = −0.93908 + 1.59767I
5.04445 − 4.17066I 6.60682 + 3.70952I
u = 0.710570
a = −0.516138
b = 1.01848
1.26530 7.99450
u = −1.260410 + 0.354016I
a = −0.013562 − 0.903193I
b = 0.46322 + 2.04947I
6.78062 − 4.50780I 6.98768 + 3.92800I
5