![](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 = −0.950344 + 0.322119I
a = 1.36230 − 0.69032I
b = 0.884105 + 0.214283I
6.7763 − 15.3902I 3.50991 + 9.23358I
u = −0.950344 − 0.322119I
a = 1.36230 + 0.69032I
b = 0.884105 − 0.214283I
6.7763 + 15.3902I 3.50991 − 9.23358I
u = 0.611986 + 0.823380I
a = 0.290031 + 0.143467I
b = −0.191685 + 0.783395I
5.64694 + 2.40410I 6.40463 − 1.49639I
u = 0.611986 − 0.823380I
a = 0.290031 − 0.143467I
b = −0.191685 − 0.783395I
5.64694 − 2.40410I 6.40463 + 1.49639I
u = −0.681639 + 0.820596I
a = −0.531183 + 0.353604I
b = −0.207357 + 0.308169I
0.58300 − 2.55616I 0. − 10.37772I
u = −0.681639 − 0.820596I
a = −0.531183 − 0.353604I
b = −0.207357 − 0.308169I
0.58300 + 2.55616I 0. + 10.37772I
u = 0.543343 + 0.739525I
a = −0.270104 − 1.316570I
b = −0.039019 − 0.651155I
−0.43165 − 5.19465I −2.45142 + 6.35490I
u = 0.543343 − 0.739525I
a = −0.270104 + 1.316570I
b = −0.039019 + 0.651155I
−0.43165 + 5.19465I −2.45142 − 6.35490I
u = −0.120480 + 1.099310I
a = −0.218284 − 0.770739I
b = 1.12128 − 0.86767I
0.82652 − 6.20060I 0. + 7.06936I
u = −0.120480 − 1.099310I
a = −0.218284 + 0.770739I
b = 1.12128 + 0.86767I
0.82652 + 6.20060I 0. − 7.06936I
5