  A = [-45.1254   15.2648
  -46.7513   15.4413
  -46.5294   16.5895
  -46.5866   16.6049
  -46.4059   17.5685
  -46.5226   17.5882
  -46.3899   18.4200
  -46.3190   18.4200
  -46.2275   18.9366
  -46.1840   18.9301
  -45.9987   19.8245
  -45.9416   19.8007
  -45.7723   20.6212
  -45.5596   20.5932
  -45.4200   21.2230
  -45.5138   21.2487
  -45.3880   21.8244
  -45.2462   21.8052
  -45.0678   22.9751
  -45.0243   22.9645
  -44.9214   23.6491
  -46.4791   23.9185
  -46.1955   24.5980
  -46.1177   24.5875
  -45.7883   25.2530
  -45.5001   25.1926
  -45.0929   26.0822
  -44.8985   26.0574
  -44.8162   26.2700
  -44.8642   26.2824
  -44.5073   27.2536
  -44.3861   27.2352
  -44.0224   28.1088
  -43.9446   28.1027
  -43.5604   28.8123
  -43.4849   28.8022
  -43.0892   29.4690
  -43.0365   29.4710
  -42.7255   30.0697
  -42.1376   29.9741
  -41.4285   31.2364
  -41.1814   31.1971
  -40.7080   31.8145
  -40.5501   31.8008
  -39.6992   33.0829
  -39.5848   33.0656
  -39.4018   33.7657
  -37.8007   33.5017
  -37.6794   33.7352
  -37.5307   33.7046
  -37.3363   34.1394
  -37.2448   34.1241
  -37.0481   34.5662
  -36.8605   34.5568
  -36.7873   34.7118
  -36.6249   34.6910
  -36.3733   35.2803
  -34.7470   35.0097
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  -34.3352   35.6153
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  -34.0539   36.0716
  -33.9852   36.2200
  -33.7725   36.1848
  -33.5941   36.7410
  -33.3173   36.6931
  -33.2235   36.9432
  -33.0039   36.9175
  -32.9468   37.0643
  -32.7066   37.0349
  -32.6448   37.1760
  -32.3909   37.1394
  -32.2971   37.4118
  -32.2698   37.3750
  -31.5147   37.2837
  -31.3683   37.7048
  -31.0731   37.6793
  -30.6063   38.3996
  -30.4279   38.3870
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  -29.7620   39.3973
  -29.3347   39.3134
  -29.2974   39.2571
  -29.2608   39.2518
  -29.1854   39.2773
  -29.1473   39.2921
  -29.0879   39.3229
  -29.0506   39.3365
  -28.9828   39.3654
  -28.9516   39.3802
  -28.8944   39.4133
  -28.8525   39.3725
  -28.7817   39.3010
  -28.7436   39.2642
  -28.6880   39.2157
  -28.6644   39.1801
  -28.6202   39.1196
  -28.5676   39.1285
  -28.4854   39.1570
  -28.4503   39.1327
  -28.4214   39.0911
  -28.3963   39.0567
  -28.3665   39.0193
  -28.3437   38.9937
  -28.2896   38.9384
  -28.2134   38.9521
  -28.1220   38.9675
  -28.0603   38.9830
  -27.9552   39.0056
  -27.7945   39.0014
  -27.7206   38.9420
  -27.6772   38.9134
  -27.6056   38.8652
  -27.5606   38.8342
  -27.4867   38.7830
  -27.2399   38.7776
  -27.2019   38.7018
  -27.1729   38.6660
  -27.1272   38.6092
  -27.0891   38.5692
  -27.0305   38.4920
  -27.0061   38.4645
  -26.9429   38.3991
  -26.9025   38.3590
  -26.8286   38.2798
  -26.7174   38.4201
  -26.6481   38.3572
  -26.6146   38.3224
  -26.5346   38.2557
  -26.4957   38.2221
  -26.4158   38.1481
  -26.3800   38.1180
  -26.3030   38.0470
  -26.1720   38.0374
  -26.0768   37.9656
  -26.0433   37.9355
  -25.9183   37.8401
  -25.8102   37.8787
  -25.7363   37.8153
  -25.6997   37.7887
  -25.6342   37.7234
  -25.5375   37.8183
  -25.4621   37.7506
  -25.4278   37.7180
  -25.3539   37.6623
  -25.2678   37.7688
  -25.1002   37.6483
  -24.9837   37.6435
  -24.9327   37.6077
  -24.8900   37.5847
  -24.8435   37.5520
  -24.8154   37.5338
  -24.7765   37.4986
  -24.7339   37.4676
  -24.6645   37.4105
  -24.7011   37.3534
  -24.7369   37.2731
  -24.7476   37.2171
  -24.6790   37.1281
  -24.6325   37.0963
  -24.5541   37.0170
  -24.4992   36.9724
  -24.4322   36.9088
  -24.3842   36.8653
  -24.3126   36.7906
  -24.2547   36.7814
  -24.1481   36.7876
  -24.0818   36.7925
  -23.9820   36.7998
  -23.9188   36.8090
  -23.8091   36.8213
  -23.7421   36.8304
  -23.6560   36.8445
  -23.5570   36.8568
  -23.4458   36.8684
  -23.3582   36.8708
  -23.2538   36.8837
  -23.1639   36.8880
  -23.0527   36.8947
  -22.9187   36.9913
  -22.1360   37.0386
  -21.6058   37.0588
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  -19.2998   37.4423
  -18.9547   37.5295
  -18.4329   37.6099
  -17.8017   37.7169
  -17.3977   37.7102
  -16.9938   37.6969
  -16.4636   37.6366
  -15.8997   37.5697
  -15.3779   37.4154
  -14.8813   37.2407
  -14.0818   37.5563
  -13.2065   37.0858
  -12.4575   36.6123
  -12.0199   36.3608
  -10.3030   37.2945
   -9.7643   36.7479
   -9.4025   36.3745
   -9.0911   36.0129
   -8.8638   35.7320
   -8.5945   35.3537
   -8.2831   34.9805
   -7.7108   35.1812
   -7.0375   35.4640
   -6.4821   35.7115
   -5.4301   36.0881
   -4.8494   36.2655
   -4.2855   35.7389
   -2.8379   36.3404
   -2.5770   36.0881
   -0.9611   36.6733
   -0.4505   37.0506
    1.6517   37.3034
    3.7538   37.5562
    5.8559   37.8090
    7.9580   38.0618
   10.0601   38.3146
   12.1622   38.5674
   14.2643   38.8202
   16.3664   39.0730
   18.4685   39.3258
   18.3152   39.4359
   18.4455   39.3632
   18.6581   39.2104
   18.9141   39.0590
   19.0856   38.9627
   19.2845   38.8430
   19.4376   38.7160
   19.5542   38.6228
   19.6571   38.5367
   19.8377   38.3965
   19.9611   38.2776
   20.1006   38.1442
   20.2240   38.0267
   20.2972   37.8674
   20.3726   37.7277
   20.4366   37.5932
   20.5212   37.4367
   20.6264   37.2925
   20.7475   37.1536
   20.9053   36.9814
   21.1270   36.7738
   21.3030   36.5842
   21.4471   36.4365
   21.6002   36.2812
   21.7602   36.1793
   21.9797   36.0012
   22.1306   35.8804
   22.2472   35.7705
   22.4666   35.6531
   22.6472   35.5354
   22.8392   35.4045
   22.9970   35.3034
   23.2187   35.1515
   23.3330   35.0613
   23.5502   34.9277
   23.7651   34.7939
   23.9548   34.6694
   24.1103   34.5824
   24.1743   34.5465
   24.4852   34.6184
   24.7755   34.4121
   24.9607   34.3116
   25.1413   34.2034
   25.2236   34.1559
   25.2762   34.1350
   25.2739   34.1331
   25.7014   34.3457
   26.3689   34.6127
   27.0753   34.9277
   27.8365   35.3240
   28.4286   35.6811
   28.8058   35.9734
   29.1144   36.2220
   29.0755   36.1960
   34.6420   41.4076
   34.9500   39.4135
   35.2579   37.4194
   35.5658   35.4252
   35.8737   33.4311
   36.1817   31.4370
   36.4896   29.4428
   36.7975   27.4487
   37.1055   25.4545
   37.4134   23.4604
   36.8700   23.5400
   36.9500   23.4600
   37.0800   23.3400
   37.1900   23.2600
   37.3000   23.1500
   37.3800   23.0700
   37.4400   23.0100
   37.5000   22.9500
   37.5500   22.8600
   37.5500   22.8600
   37.6500   22.6700
   37.7500   22.4800
   37.8300   22.3300
   37.8800   22.1400
   37.9400   21.9500
   37.9700   21.7800
   37.9800   21.6900
   38.0200   21.5100
   38.0300   21.3600
   38.0500   21.1800
   38.0600   21.1100
   38.1300   20.9600
   38.2000   20.8000
   38.2400   20.6700
   38.2700   20.5300
   38.2800   20.4200
   38.3400   20.2500
   38.4500   20.0700
   38.5900   19.8600
   38.7200   19.6300
   38.8700   19.4500
   39.0400   19.3100
   39.2200   19.1200
   39.4100   18.8900
   39.5700   18.7400
   39.6800   18.6600
   39.6800   18.6600
   39.8000   18.5000
   39.8500   18.4300
   39.9200   18.2300
   39.9300   18.2300
   40.0100   18.0900
   40.0800   17.9500
   40.1400   17.8400
   40.2200   17.7000
   40.3000   17.5300
   40.4300   17.3600
   40.5000   17.2600
   40.5800   17.1200
   40.7100   16.9500
   40.8000   16.8000
   40.8700   16.7000
   41.0900   16.4300
   41.0900   16.4300
   41.2000   16.2900
   41.3200   16.1300
   41.4700   16.0100
   41.5600   15.9200
   41.5900   15.8600
   41.6600   15.8000
   41.6600   15.8000
   41.7800   15.6600
   41.8100   15.6000
   41.8100   15.6000
   41.8800   15.4600
   41.8800   15.4600
   41.9500   15.3500
   41.9500   15.3500
   42.0300   15.2100
   42.0300   15.2100
   42.0900   15.0800
   42.0900   15.0800
   42.1400   14.9800
   42.1400   14.9800
   42.2200   14.8500
   42.2300   14.7900
   42.2300   14.7900
   42.2800   14.6800
   42.2800   14.6800
   42.2700   14.3100
   42.2700   14.3100
   42.3700   14.0800
   42.4600   13.8500
   42.4600   13.8500
   42.5600   13.7600
   42.5600   13.7600
   42.6600   13.6400
   42.6600   13.6400
   42.8000   13.4700
   42.8000   13.4700
   43.0200   13.2300
   43.1400   13.0700
   43.6500   12.0100
   44.0500   12.0100
   44.5100   12.0100
   44.7800   12.0200
   44.8800   12.0200
   44.9100   12.0100
   45.1000   12.0000
   45.2800   12.0000
   45.3300   12.0500
   45.4300   12.0200
   45.5200   11.9800
   45.6000   12.0700
   45.6400   12.1600
   45.6500   12.1500
   45.8500   12.1000
   46.1100   12.0600
   46.1500   12.1100
   46.2000   12.1700
   46.3100   12.1400
   46.4300   12.0900
   46.5100   12.2000
   46.5800   12.2900
   46.7200   12.2500
   46.8500   12.2100
   46.9300   12.3000
   46.9900   12.4000
   47.0500   12.3900
   47.1300   12.3600
   47.1600   12.4600
   47.3200   12.4300
   47.5400   12.3700
   47.5900   12.4400
   47.6500   12.5200
   47.7900   12.4900
   47.9000   12.4600
   47.9900   12.5800
   48.0500   12.6700
   48.1400   12.6400
   48.2700   12.6000
   48.3500   12.5700
   48.4500   12.7300
   48.5700   12.6900
   48.7000   12.6600
   48.8000   12.7700
   48.8800   12.9100
   49.0700   12.8500
   49.2800   12.8000
   49.3500   12.9000
   49.4300   13.0400
   49.4700   13.0100
   49.5900   13.1700
   49.6800   13.3100
   49.8500   13.2500
   50.0600   13.1700
   50.1700   13.1200
   50.2500   13.2300
   50.3100   13.3100
   50.4300   13.2700
   50.5700   13.2200
   50.6600   13.3600
   50.8400   13.2800
   51.0800   13.1900
   51.2500   13.1200
   51.3400   13.2700
   51.4500   13.4600
   51.5700   13.6700
   51.7600   14.0300
   51.9400   14.3500
   52.1400   14.6900
   52.3000   14.6600
   52.5500   14.6000
   52.6700   14.5600
   52.7400   14.6800
   52.9100   14.6200
   53.1200   14.5600
   53.2100   14.5400
   53.2200   14.5600
   53.3600   14.5100
   53.5800   14.4400
   53.8200   14.3600
   53.8600   14.3500
   53.9300   14.4900
   54.0200   14.6600
   54.0700   14.7700
   54.1500   14.7300
   54.1900   14.7100
   54.2500   14.6900
   54.2900   14.6800
   54.3300   14.6700
   54.3900   14.6400
   54.4500   14.6200
   54.5100   14.7600
   54.5500   14.8700
   54.7300   14.8000
   54.9600   14.7300
   55.0500   14.7100
   55.1100   14.8500
   55.2800   14.7900
   55.4800   14.7300
   55.6300   14.6800
   55.6700   14.7200
   55.8200   14.6900
   56.0600   14.6400
   56.1800   14.6200
   56.2100   14.6400
   56.4100   14.5300
   56.6000   14.4200
   56.8200   14.3000
   56.7600   14.2100
   56.9000   14.1400
   57.0400   14.0700
   56.9700   13.9400
   57.1400   13.8500
   57.3000   13.7700
   57.3000   13.7400
   57.4800   13.6400
   57.6900   13.5200
   57.8100   13.4500
   57.7300   13.3100
   57.6400   13.1400
   57.8700   13.0000
   58.1300   12.8300
   58.1300   12.8300
   56.9200    9.9700
   56.9800    9.8600
   57.0300    9.8600
   57.2600    9.6800
   57.4900    9.9400
   58.0600    9.5300
   58.0200    9.4500
   58.2600    9.2900
   58.1500    9.0900
   58.4300    8.8600
   58.2500    8.6500
   58.6100    8.4000
   58.9200    8.1700
   58.8800    8.1000
   59.3100    7.7700
   59.2200    7.6700
   60.1800    6.9500
   60.0400    6.7700
   60.6700    6.3100
   61.1400    5.9100
   61.6600    5.4900
   61.5300    5.2600
   62.0000    4.9100
   62.4600    4.5200
   63.0000    4.1100
   62.8700    3.8900
   63.3300    3.6300
   63.3900    3.7000
   63.8200    3.4800
   63.8900    3.6000
   64.6200    3.2200
   64.6800    3.3000
   65.2100    2.9200
   65.4900    3.3000
   65.9600    2.9700
   66.3800    2.7500
   66.1800    2.3900
   65.9900    2.0500
   66.3300    1.8600
   66.6700    1.6200
   66.4900    1.3300
   66.8700    1.0700
   66.6600    0.7200
   67.1600    0.3400
   66.8400   -0.0400
   67.2100   -0.3400
   67.0200   -0.5800
   67.6600   -1.0400
   67.3700   -1.4400
   67.9300   -1.9100
   67.7900   -2.0900
   68.2500   -2.5400
   67.8900   -2.8900
   68.2700   -3.3500
   68.6700   -3.7700
   68.3500   -4.1200
   68.7500   -4.5500
   68.2000   -5.0400
   68.6100   -5.4700
   68.2200   -5.8900
   67.7800   -6.2600
   68.2900   -6.8200
   67.8100   -7.2500
   68.0700   -7.6500
   67.6400   -8.0300
   68.0400   -8.4900
   67.0900   -9.2700
   67.3800   -9.6300
   66.4600  -10.3500
   66.7900  -10.7600
   66.1700  -11.2100
   66.4200  -11.5600
   65.7000  -12.0200
   66.3700  -12.8300
   65.8200  -13.2700
   66.2100  -13.7800
   65.9300  -13.9800
   66.4900  -14.7000
   66.8900  -15.2700
   67.2900  -15.8200
   67.3800  -15.9400
   67.0300  -16.1400
   67.4100  -16.6600
   66.7100  -17.0900
   66.1400  -17.4500
   65.5400  -17.7800
   65.0100  -18.0600
   65.5200  -18.8300
   66.0300  -19.5800
   66.4300  -20.0800
   66.7500  -19.8700
   67.0400  -20.2200
   67.3100  -20.0700
   67.5900  -20.3700
   67.7700  -20.2800
   67.9000  -20.4700
   68.2100  -20.2900
   68.5600  -20.7100
   68.2800  -20.8800
   68.6500  -21.4500
   69.2000  -22.0900
   68.8000  -22.3900
   69.1600  -22.8300
   69.5600  -23.3700
   69.8500  -23.7100
   69.4000  -24.0400
   69.6800  -24.3700
   69.9400  -24.6800
   69.5900  -24.9700
   70.0900  -25.4800
   69.9620  -25.6449
   69.9620  -25.6449
   69.4900  -25.6700
   69.4600  -25.7800
   69.1400  -25.7900
   69.1500  -25.9900
   68.8300  -26.0100
   68.8200  -26.1400
   68.6000  -26.1200
   68.6200  -26.2600
   67.9800  -26.2900
   67.9600  -26.5800
   67.4300  -26.5700
   67.4200  -26.8700
   67.1500  -26.8700
   67.1300  -27.2700
   66.3700  -27.2800
   66.3600  -27.5200
   65.3500  -27.5100
   65.3300  -27.8100
   64.4700  -27.8200
   63.6100  -27.8300
   63.6200  -28.0400
   63.1900  -28.0200
   63.2100  -28.1600
   62.7000  -28.1500
   62.7400  -28.4600
   62.1300  -28.4900
   62.1600  -28.8100
   61.5200  -28.7800
   61.5300  -28.9200
   60.8100  -28.9300
   60.7600  -30.0000
   60.7500  -30.0100
   60.7600  -30.5300
   60.0100  -30.5600
   59.1900  -30.5700
   59.1700  -31.0500
   58.5300  -31.0500
   58.4600  -31.6900
   57.8000  -31.7200
   57.1500  -31.7700
   57.0900  -32.8300
   57.0600  -33.5600
   56.4000  -33.6200
   55.7400  -33.6500
   55.7000  -34.2300
   55.3000  -34.2900
   55.2800  -34.5600
   54.2600  -34.5400
   54.2200  -35.3000
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