![](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 = 0.830964 + 0.370556I
a = 0.414128 + 1.222280I
b = −0.659634 − 0.034107I
2.82432 − 2.82669I 9.20461 + 4.33058I
u = 0.830964 − 0.370556I
a = 0.414128 − 1.222280I
b = −0.659634 + 0.034107I
2.82432 + 2.82669I 9.20461 − 4.33058I
u = 0.066558 + 0.901955I
a = 0.06137 + 1.43251I
b = −1.28652 − 0.78803I
−6.76619 + 10.19040I 0. − 7.34564I
u = 0.066558 − 0.901955I
a = 0.06137 − 1.43251I
b = −1.28652 + 0.78803I
−6.76619 − 10.19040I 0. + 7.34564I
u = 0.024152 + 0.893253I
a = −0.241320 + 0.052855I
b = 1.52166 − 0.03451I
−11.12980 + 3.22994I −3.82673 − 2.58821I
u = 0.024152 − 0.893253I
a = −0.241320 − 0.052855I
b = 1.52166 + 0.03451I
−11.12980 − 3.22994I −3.82673 + 2.58821I
u = 0.062913 + 0.882423I
a = 0.600816 + 0.907451I
b = −0.0566985 + 0.0369613I
−5.21752 + 4.69393I 2.36653 − 2.83625I
u = 0.062913 − 0.882423I
a = 0.600816 − 0.907451I
b = −0.0566985 − 0.0369613I
−5.21752 − 4.69393I 2.36653 + 2.83625I
u = 1.11897
a = 0.950189
b = −1.18495
2.10269 0
u = −0.016371 + 0.867847I
a = 0.03955 − 1.52936I
b = −1.27847 + 0.81240I
−7.11500 − 3.79480I −0.49729 + 2.45032I
5