Cody

# Problem 1460. Cosine frequency doubler

Solution 354018

Submitted on 17 Nov 2013 by Pedro Villena
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### Test Suite

Test Status Code Input and Output
1   Pass
%% t = 0:0.001:1; x = cos(2*pi*5*t); y_correct = cos(2*pi*10*t); %assert(isequal(SineDublr(x),y_correct)); assert(sqrt(sum((y_correct-SineDublr(x)).^2))<0.1);

ans = Columns 1 through 10 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 11 through 20 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 21 through 30 0.3090 0.2487 0.1874 0.1253 0.0628 0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 31 through 40 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 41 through 50 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 51 through 60 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 61 through 70 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 71 through 80 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 -0.0000 0.0628 0.1253 0.1874 0.2487 Columns 81 through 90 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 91 through 100 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 101 through 110 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 111 through 120 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 121 through 130 0.3090 0.2487 0.1874 0.1253 0.0628 0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 131 through 140 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 141 through 150 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 151 through 160 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 161 through 170 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 171 through 180 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 0.0000 0.0628 0.1253 0.1874 0.2487 Columns 181 through 190 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 191 through 200 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 201 through 210 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 211 through 220 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 221 through 230 0.3090 0.2487 0.1874 0.1253 0.0628 0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 231 through 240 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 241 through 250 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 251 through 260 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 261 through 270 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 271 through 280 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 0.0000 0.0628 0.1253 0.1874 0.2487 Columns 281 through 290 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 291 through 300 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 301 through 310 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 311 through 320 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 321 through 330 0.3090 0.2487 0.1874 0.1253 0.0628 -0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 331 through 340 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 341 through 350 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 351 through 360 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 361 through 370 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 371 through 380 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 -0.0000 0.0628 0.1253 0.1874 0.2487 Columns 381 through 390 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 391 through 400 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 401 through 410 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 411 through 420 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 421 through 430 0.3090 0.2487 0.1874 0.1253 0.0628 0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 431 through 440 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 441 through 450 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 451 through 460 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 461 through 470 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 471 through 480 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 0.0000 0.0628 0.1253 0.1874 0.2487 Columns 481 through 490 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 491 through 500 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 501 through 510 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 511 through 520 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 521 through 530 0.3090 0.2487 0.1874 0.1253 0.0628 0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 531 through 540 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 541 through 550 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 551 through 560 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 561 through 570 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 571 through 580 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 -0.0000 0.0628 0.1253 0.1874 0.2487 Columns 581 through 590 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 591 through 600 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 601 through 610 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 611 through 620 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 621 through 630 0.3090 0.2487 0.1874 0.1253 0.0628 -0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 631 through 640 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 641 through 650 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 651 through 660 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 661 through 670 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 671 through 680 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 0.0000 0.0628 0.1253 0.1874 0.2487 Columns 681 through 690 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 0.7290 0.7705 Columns 691 through 700 0.8090 0.8443 0.8763 0.9048 0.9298 0.9511 0.9686 0.9823 0.9921 0.9980 Columns 701 through 710 1.0000 0.9980 0.9921 0.9823 0.9686 0.9511 0.9298 0.9048 0.8763 0.8443 Columns 711 through 720 0.8090 0.7705 0.7290 0.6845 0.6374 0.5878 0.5358 0.4818 0.4258 0.3681 Columns 721 through 730 0.3090 0.2487 0.1874 0.1253 0.0628 -0.0000 -0.0628 -0.1253 -0.1874 -0.2487 Columns 731 through 740 -0.3090 -0.3681 -0.4258 -0.4818 -0.5358 -0.5878 -0.6374 -0.6845 -0.7290 -0.7705 Columns 741 through 750 -0.8090 -0.8443 -0.8763 -0.9048 -0.9298 -0.9511 -0.9686 -0.9823 -0.9921 -0.9980 Columns 751 through 760 -1.0000 -0.9980 -0.9921 -0.9823 -0.9686 -0.9511 -0.9298 -0.9048 -0.8763 -0.8443 Columns 761 through 770 -0.8090 -0.7705 -0.7290 -0.6845 -0.6374 -0.5878 -0.5358 -0.4818 -0.4258 -0.3681 Columns 771 through 780 -0.3090 -0.2487 -0.1874 -0.1253 -0.0628 -0.0000 0.0628 0.1253 0.1874 0.2487 Columns 781 through 790 0.3090 0.3681 0.4258 0.4818 0.5358 0.5878 0.6374 0.6845 ...

2   Pass
%% t = 0:0.002:1; x = cos(2*pi*15*t)+2; y_correct = cos(2*pi*30*t)+2; %assert(isequal(SineDublr(x),y_correct)); assert(sqrt(sum((y_correct-SineDublr(x)).^2))<0.1);

ans = Columns 1 through 10 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 11 through 20 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 21 through 30 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 31 through 40 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 41 through 50 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 51 through 60 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 61 through 70 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 71 through 80 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 81 through 90 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 91 through 100 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 101 through 110 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 111 through 120 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 121 through 130 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 131 through 140 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 141 through 150 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 151 through 160 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 161 through 170 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 171 through 180 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 181 through 190 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 191 through 200 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 201 through 210 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 211 through 220 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 221 through 230 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 231 through 240 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 241 through 250 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 251 through 260 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 261 through 270 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 271 through 280 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 281 through 290 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 291 through 300 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 301 through 310 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 311 through 320 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 321 through 330 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 331 through 340 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 341 through 350 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 351 through 360 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 361 through 370 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 371 through 380 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 381 through 390 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 391 through 400 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 401 through 410 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 411 through 420 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 421 through 430 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 431 through 440 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 441 through 450 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Columns 451 through 460 3.0000 2.9298 2.7290 2.4258 2.0628 1.6910 1.3626 1.1237 1.0079 1.0314 Columns 461 through 470 1.1910 1.4642 1.8126 2.1874 2.5358 2.8090 2.9686 2.9921 2.8763 2.6374 Columns 471 through 480 2.3090 1.9372 1.5742 1.2710 1.0702 1.0000 1.0702 1.2710 1.5742 1.9372 Columns 481 through 490 2.3090 2.6374 2.8763 2.9921 2.9686 2.8090 2.5358 2.1874 1.8126 1.4642 Columns 491 through 500 1.1910 1.0314 1.0079 1.1237 1.3626 1.6910 2.0628 2.4258 2.7290 2.9298 Column 501 3.0000

3   Pass
%% t = 0:0.001:1; x = 3*cos(2*pi*35*t)-2; y_correct = 3*cos(2*pi*70*t)-2; %assert(isequal(SineDublr(x),y_correct)); assert(sqrt(sum((y_correct-SineDublr(x)).^2))<0.1);

ans = Columns 1 through 10 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 11 through 20 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 21 through 30 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 31 through 40 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 41 through 50 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 51 through 60 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 61 through 70 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 71 through 80 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 81 through 90 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 91 through 100 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 101 through 110 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 111 through 120 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 121 through 130 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 131 through 140 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 141 through 150 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 151 through 160 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 161 through 170 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 171 through 180 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 181 through 190 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 191 through 200 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 201 through 210 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 211 through 220 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 221 through 230 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 231 through 240 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 241 through 250 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 251 through 260 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 261 through 270 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 271 through 280 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 281 through 290 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 291 through 300 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 301 through 310 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 311 through 320 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 321 through 330 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 331 through 340 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 341 through 350 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 351 through 360 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 361 through 370 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 371 through 380 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 381 through 390 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 391 through 400 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 401 through 410 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 411 through 420 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 421 through 430 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 431 through 440 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 441 through 450 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 451 through 460 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 461 through 470 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 471 through 480 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 481 through 490 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 491 through 500 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 501 through 510 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 511 through 520 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 521 through 530 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 531 through 540 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 541 through 550 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 551 through 560 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 561 through 570 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 571 through 580 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 581 through 590 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 591 through 600 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 601 through 610 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 611 through 620 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 621 through 630 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 631 through 640 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 641 through 650 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 651 through 660 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 661 through 670 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 671 through 680 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 681 through 690 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 -0.3925 -1.6240 Columns 691 through 700 -2.9271 -4.0536 -4.7893 -4.9941 -4.6289 -3.7634 -2.5621 -1.2539 -0.0877 0.7145 Columns 701 through 710 1.0000 0.7145 -0.0877 -1.2539 -2.5621 -3.7634 -4.6289 -4.9941 -4.7893 -4.0536 Columns 711 through 720 -2.9271 -1.6240 -0.3925 0.5330 0.9763 0.8532 0.1869 -0.8956 -2.1884 -3.4453 Columns 721 through 730 -4.4271 -4.9469 -4.9057 -4.3115 -3.2773 -2.0000 -0.7227 0.3115 0.9057 0.9469 Columns 731 through 740 0.4271 -0.5547 -1.8116 -3.1044 -4.1869 -4.8532 -4.9763 -4.5330 -3.6075 -2.3760 Columns 741 through 750 -1.0729 0.0536 0.7893 0.9941 0.6289 -0.2366 -1.4379 -2.7461 -3.9123 -4.7145 Columns 751 through 760 -5.0000 -4.7145 -3.9123 -2.7461 -1.4379 -0.2366 0.6289 0.9941 0.7893 0.0536 Columns 761 through 770 -1.0729 -2.3760 -3.6075 -4.5330 -4.9763 -4.8532 -4.1869 -3.1044 -1.8116 -0.5547 Columns 771 through 780 0.4271 0.9469 0.9057 0.3115 -0.7227 -2.0000 -3.2773 -4.3115 -4.9057 -4.9469 Columns 781 through 790 -4.4271 -3.4453 -2.1884 -0.8956 0.1869 0.8532 0.9763 0.5330 ...

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