![](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 = −0.291512 + 1.030160I
a = −0.678030 − 1.056140I
b = −1.19725 + 0.90363I
2.03627 + 3.48281I 9.26462 + 0.I
u = −0.291512 − 1.030160I
a = −0.678030 + 1.056140I
b = −1.19725 − 0.90363I
2.03627 − 3.48281I 9.26462 + 0.I
u = 0.924382 + 0.020442I
a = 4.05935 − 0.66619I
b = 3.19998 − 0.28395I
15.6684 + 2.9598I 14.3979 − 0.9035I
u = 0.924382 − 0.020442I
a = 4.05935 + 0.66619I
b = 3.19998 + 0.28395I
15.6684 − 2.9598I 14.3979 + 0.9035I
u = 0.920041 + 0.033760I
a = −3.85415 + 1.05460I
b = −3.05121 + 0.44044I
13.7623 + 9.2779I 12.25398 − 5.25271I
u = 0.920041 − 0.033760I
a = −3.85415 − 1.05460I
b = −3.05121 − 0.44044I
13.7623 − 9.2779I 12.25398 + 5.25271I
u = −0.911537 + 0.010474I
a = 0.074147 + 0.576052I
b = 0.121976 + 0.842888I
9.99754 − 2.62685I 11.37857 + 2.57042I
u = −0.911537 − 0.010474I
a = 0.074147 − 0.576052I
b = 0.121976 − 0.842888I
9.99754 + 2.62685I 11.37857 − 2.57042I
u = 0.907065
a = −5.12768
b = −3.74684
8.33706 11.8870
u = −0.858590
a = 0.363466
b = 0.491382
6.74177 17.3790
5