![](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 = −0.176293 + 1.038900I
7.18444 − 1.67019I 0
u = −0.176293 − 1.038900I
7.18444 + 1.67019I 0
u = 0.250777 + 1.048820I
−0.743942 + 0.717138I 0
u = 0.250777 − 1.048820I
−0.743942 − 0.717138I 0
u = 0.662622 + 0.622414I
11.08790 + 7.77112I 6.08947 − 6.15924I
u = 0.662622 − 0.622414I
11.08790 − 7.77112I 6.08947 + 6.15924I
u = −0.559696 + 0.953541I
2.23246 + 0.83804I 0
u = −0.559696 − 0.953541I
2.23246 − 0.83804I 0
u = −0.644680 + 0.615060I
3.22743 − 5.55791I 3.92619 + 8.07198I
u = −0.644680 − 0.615060I
3.22743 + 5.55791I 3.92619 − 8.07198I
u = 0.578452 + 0.948103I
10.12780 − 2.94206I 0
u = 0.578452 − 0.948103I
10.12780 + 2.94206I 0
u = 0.536776 + 0.978594I
0.45641 + 2.41567I 0
u = 0.536776 − 0.978594I
0.45641 − 2.41567I 0
u = −0.494251 + 0.718740I
6.27468 − 2.02964I 2.37275 + 3.90100I
u = −0.494251 − 0.718740I
6.27468 + 2.02964I 2.37275 − 3.90100I
u = 0.679159 + 0.543155I
12.45010 − 1.87294I 7.91266 + 0.01624I
u = 0.679159 − 0.543155I
12.45010 + 1.87294I 7.91266 − 0.01624I
u = −0.248111 + 1.111540I
−4.03405 + 1.38195I 0
u = −0.248111 − 1.111540I
−4.03405 − 1.38195I 0
u = 0.617031 + 0.594101I
1.58657 + 2.14626I 0.09014 − 3.07268I
u = 0.617031 − 0.594101I
1.58657 − 2.14626I 0.09014 + 3.07268I
u = 0.231696 + 1.122790I
−2.66484 − 4.98283I 0
u = 0.231696 − 1.122790I
−2.66484 + 4.98283I 0
u = −0.220916 + 1.130910I
5.04714 + 7.32940I 0
u = −0.220916 − 1.130910I
5.04714 − 7.32940I 0
u = −0.561401 + 1.006840I
2.94053 − 5.15801I 0
u = −0.561401 − 1.006840I
2.94053 + 5.15801I 0
u = −0.646275 + 0.544185I
4.30217 + 0.43226I 6.84123 − 1.12347I
u = −0.646275 − 0.544185I
4.30217 − 0.43226I 6.84123 + 1.12347I
5