Lots and Lots of Anomalous Cancellations By Shalosh B. Ekhad In this book, you will find listed all the anomalous cancellation where the\ denominator has up to , 4, digits and one digit in the numerator and one in the denominator, that must be the \ same, gets cancelled, and you still get something correct1 Chapter 1 : The denominator has 2 digits Section 1 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 26 numerators:, 65 ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 64 numerators:, 16 denominator= 65 numerators:, 26 denominator= 95 numerators:, 19 denominator= 98 numerators:, 49 ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations with the denominator with, 2, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 64 numerators:, 160 ------------------------------------------------------------------------- Chapter 2 : The denominator has 3 digits Section 1 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 106 numerators:, 265 denominator= 146 numerators:, 365 denominator= 186 numerators:, 465 denominator= 217 numerators:, 775 denominator= 222 numerators:, 1221 denominator= 226 numerators:, 565 denominator= 244 numerators:, 1342 denominator= 248 numerators:, 1085 denominator= 266 numerators:, 665, 1463, 2261 denominator= 288 numerators:, 1584 denominator= 305 numerators:, 854, 1952 denominator= 306 numerators:, 765 denominator= 346 numerators:, 865 denominator= 357 numerators:, 1275 denominator= 386 numerators:, 965 denominator= 408 numerators:, 1785 denominator= 422 numerators:, 2321 denominator= 426 numerators:, 1065 denominator= 427 numerators:, 976, 2074, 3172 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 466 numerators:, 1165, 2563, 3961 denominator= 488 numerators:, 1586, 2684, 3782 denominator= 497 numerators:, 1775 denominator= 506 numerators:, 1265 denominator= 546 numerators:, 1365 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 568 numerators:, 2485 denominator= 586 numerators:, 1465 denominator= 622 numerators:, 3421 denominator= 626 numerators:, 1565 denominator= 637 numerators:, 2275 denominator= 644 numerators:, 3542 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 688 numerators:, 3784 denominator= 706 numerators:, 1765 denominator= 728 numerators:, 3185 denominator= 746 numerators:, 1865 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 786 numerators:, 1965 denominator= 805 numerators:, 2254, 5152 denominator= 822 numerators:, 4521 denominator= 826 numerators:, 2065 denominator= 844 numerators:, 2743, 4642, 6541 denominator= 866 numerators:, 2165, 4763, 7361 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 906 numerators:, 2265 denominator= 917 numerators:, 3275 denominator= 946 numerators:, 2365 denominator= 986 numerators:, 2465 ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 106 numerators:, 6625 denominator= 124 numerators:, 5425 denominator= 186 numerators:, 11625 denominator= 217 numerators:, 775, 7750, 14725 denominator= 248 numerators:, 3875, 10850, 17825 denominator= 266 numerators:, 665, 4655, 8645, 12635, 16625, 20615, 24605 denominator= 284 numerators:, 12425 denominator= 346 numerators:, 21625 denominator= 357 numerators:, 12750 denominator= 408 numerators:, 17850 denominator= 426 numerators:, 26625 denominator= 427 numerators:, 9760, 20740, 31720 denominator= 488 numerators:, 15860, 37820 denominator= 497 numerators:, 1775, 17750, 33725 denominator= 506 numerators:, 31625 denominator= 568 numerators:, 8875, 24850, 40825 denominator= 586 numerators:, 36625 denominator= 604 numerators:, 26425 denominator= 622 numerators:, 20215, 48205 denominator= 637 numerators:, 22750 denominator= 728 numerators:, 31850 denominator= 746 numerators:, 46625 denominator= 764 numerators:, 33425 denominator= 826 numerators:, 51625 denominator= 844 numerators:, 27430, 65410 denominator= 906 numerators:, 56625 denominator= 917 numerators:, 32750 denominator= 924 numerators:, 40425 denominator= 986 numerators:, 61625 ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 110 numerators:, 11 denominator= 120 numerators:, 12 denominator= 121 numerators:, 22 denominator= 130 numerators:, 13 denominator= 132 numerators:, 33 denominator= 140 numerators:, 14 denominator= 143 numerators:, 44 denominator= 150 numerators:, 15 denominator= 154 numerators:, 55 denominator= 160 numerators:, 16 denominator= 165 numerators:, 66 denominator= 170 numerators:, 17 denominator= 176 numerators:, 77 denominator= 180 numerators:, 18 denominator= 187 numerators:, 88 denominator= 190 numerators:, 19 denominator= 195 numerators:, 39 denominator= 196 numerators:, 49 denominator= 198 numerators:, 99 denominator= 210 numerators:, 21 denominator= 220 numerators:, 22 denominator= 230 numerators:, 23 denominator= 231 numerators:, 33 denominator= 240 numerators:, 24 denominator= 242 numerators:, 44 denominator= 250 numerators:, 25 denominator= 253 numerators:, 55 denominator= 260 numerators:, 26 denominator= 264 numerators:, 66 denominator= 265 numerators:, 106 denominator= 270 numerators:, 27 denominator= 275 numerators:, 77 denominator= 280 numerators:, 28 denominator= 286 numerators:, 88 denominator= 290 numerators:, 29 denominator= 294 numerators:, 49 denominator= 295 numerators:, 59 denominator= 297 numerators:, 99 denominator= 298 numerators:, 149 denominator= 310 numerators:, 31 denominator= 320 numerators:, 32 denominator= 330 numerators:, 33 denominator= 332 numerators:, 83 denominator= 340 numerators:, 34 denominator= 341 numerators:, 44 denominator= 350 numerators:, 35 denominator= 352 numerators:, 55 denominator= 360 numerators:, 36 denominator= 363 numerators:, 66 denominator= 365 numerators:, 146 denominator= 370 numerators:, 37 denominator= 374 numerators:, 77 denominator= 380 numerators:, 38 denominator= 385 numerators:, 88 denominator= 390 numerators:, 39 denominator= 392 numerators:, 49 denominator= 395 numerators:, 79 denominator= 396 numerators:, 99 denominator= 398 numerators:, 199 denominator= 410 numerators:, 41 denominator= 420 numerators:, 42 denominator= 430 numerators:, 43 denominator= 440 numerators:, 44 denominator= 450 numerators:, 45 denominator= 451 numerators:, 55 denominator= 460 numerators:, 46 denominator= 462 numerators:, 66 denominator= 464 numerators:, 116 denominator= 465 numerators:, 186 denominator= 470 numerators:, 47 denominator= 473 numerators:, 77 denominator= 480 numerators:, 48 denominator= 484 numerators:, 88 denominator= 490 numerators:, 49 denominator= 495 numerators:, 99 denominator= 498 numerators:, 249 denominator= 510 numerators:, 51 denominator= 520 numerators:, 52 denominator= 530 numerators:, 53 denominator= 532 numerators:, 133 denominator= 540 numerators:, 54 denominator= 550 numerators:, 55 denominator= 560 numerators:, 56 denominator= 561 numerators:, 66 denominator= 565 numerators:, 226 denominator= 570 numerators:, 57 denominator= 572 numerators:, 77 denominator= 580 numerators:, 58 denominator= 583 numerators:, 88 denominator= 590 numerators:, 59 denominator= 594 numerators:, 99 denominator= 595 numerators:, 119 denominator= 596 numerators:, 149 denominator= 597 numerators:, 199 denominator= 598 numerators:, 299 denominator= 610 numerators:, 61 denominator= 620 numerators:, 62 denominator= 630 numerators:, 63 denominator= 640 numerators:, 64 denominator= 650 numerators:, 65 denominator= 660 numerators:, 66 denominator= 664 numerators:, 166 denominator= 665 numerators:, 266 denominator= 670 numerators:, 67 denominator= 671 numerators:, 77 denominator= 680 numerators:, 68 denominator= 682 numerators:, 88 denominator= 690 numerators:, 69 denominator= 693 numerators:, 99 denominator= 695 numerators:, 139 denominator= 698 numerators:, 349 denominator= 710 numerators:, 71 denominator= 720 numerators:, 72 denominator= 730 numerators:, 73 denominator= 732 numerators:, 183 denominator= 740 numerators:, 74 denominator= 750 numerators:, 75 denominator= 760 numerators:, 76 denominator= 765 numerators:, 306 denominator= 770 numerators:, 77 denominator= 775 numerators:, 217 denominator= 780 numerators:, 78 denominator= 781 numerators:, 88 denominator= 790 numerators:, 79 denominator= 792 numerators:, 99 denominator= 795 numerators:, 159 denominator= 796 numerators:, 199 denominator= 798 numerators:, 399 denominator= 810 numerators:, 81 denominator= 820 numerators:, 82 denominator= 830 numerators:, 83 denominator= 840 numerators:, 84 denominator= 850 numerators:, 85 denominator= 854 numerators:, 305 denominator= 860 numerators:, 86 denominator= 864 numerators:, 216 denominator= 865 numerators:, 346 denominator= 870 numerators:, 87 denominator= 880 numerators:, 88 denominator= 890 numerators:, 89 denominator= 891 numerators:, 99 denominator= 894 numerators:, 149 denominator= 895 numerators:, 179 denominator= 897 numerators:, 299 denominator= 898 numerators:, 449 denominator= 910 numerators:, 91 denominator= 920 numerators:, 92 denominator= 930 numerators:, 93 denominator= 931 numerators:, 133 denominator= 932 numerators:, 233 denominator= 940 numerators:, 94 denominator= 950 numerators:, 95 denominator= 960 numerators:, 96 denominator= 965 numerators:, 386 denominator= 970 numerators:, 97 denominator= 976 numerators:, 427 denominator= 980 numerators:, 98 denominator= 990 numerators:, 99 denominator= 995 numerators:, 199 denominator= 996 numerators:, 249 denominator= 998 numerators:, 499 ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 160 numerators:, 64 denominator= 190 numerators:, 95 denominator= 192 numerators:, 96 denominator= 194 numerators:, 97, 291 denominator= 196 numerators:, 98, 294, 490 denominator= 222 numerators:, 1221 denominator= 244 numerators:, 1342 denominator= 260 numerators:, 65 denominator= 266 numerators:, 665, 1463, 2261 denominator= 288 numerators:, 1584 denominator= 291 numerators:, 97, 194 denominator= 294 numerators:, 98, 196, 392, 490 denominator= 332 numerators:, 830 denominator= 390 numerators:, 195 denominator= 392 numerators:, 98, 196, 294, 490 denominator= 394 numerators:, 197, 591 denominator= 398 numerators:, 199, 597, 995, 1393, 1791 denominator= 422 numerators:, 2321 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 464 numerators:, 1160 denominator= 466 numerators:, 1165, 2563, 3961 denominator= 488 numerators:, 1586, 2684, 3782 denominator= 490 numerators:, 98, 196, 294, 392 denominator= 532 numerators:, 133, 931, 1330 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 576 numerators:, 1872 denominator= 590 numerators:, 295 denominator= 591 numerators:, 197, 394 denominator= 592 numerators:, 296 denominator= 596 numerators:, 298, 894, 1490 denominator= 597 numerators:, 199, 398, 796, 995, 1393, 1592, 1990 denominator= 598 numerators:, 299, 897, 1495, 2093, 2691 denominator= 622 numerators:, 3421 denominator= 644 numerators:, 3542 denominator= 664 numerators:, 166, 1162, 1660 denominator= 665 numerators:, 266, 1064, 1463, 1862, 2261 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 688 numerators:, 3784 denominator= 732 numerators:, 1830 denominator= 775 numerators:, 2170 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 790 numerators:, 395 denominator= 794 numerators:, 397, 1191 denominator= 796 numerators:, 199, 398, 597, 995, 1194, 1393, 1791, 1990 denominator= 798 numerators:, 399, 1197, 1995, 2793, 3591 denominator= 822 numerators:, 4521 denominator= 830 numerators:, 332 denominator= 844 numerators:, 2743, 4642, 6541 denominator= 854 numerators:, 1952, 3050 denominator= 864 numerators:, 2160 denominator= 866 numerators:, 2165, 4763, 7361 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 894 numerators:, 298, 596, 1192, 1490 denominator= 897 numerators:, 299, 598, 1196, 1495, 2093, 2392, 2990 denominator= 931 numerators:, 133, 532, 1330 denominator= 932 numerators:, 233, 1631, 2330 denominator= 976 numerators:, 2074, 3172, 4270 denominator= 992 numerators:, 496 denominator= 994 numerators:, 497, 1491 denominator= 995 numerators:, 199, 398, 597, 796, 1194, 1393, 1592, 1791 denominator= 996 numerators:, 498, 1494, 2490 denominator= 998 numerators:, 499, 1497, 2495, 3493, 4491 ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 121 numerators:, 220, 2200 denominator= 130 numerators:, 325 denominator= 132 numerators:, 330, 2310 denominator= 143 numerators:, 440, 2420, 3410, 4400 denominator= 154 numerators:, 550, 2530, 3520, 4510, 5500 denominator= 176 numerators:, 770, 2750, 3740, 4730, 5720, 6710, 7700 denominator= 187 numerators:, 880, 2860, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 220 numerators:, 1210 denominator= 231 numerators:, 330, 1320, 3300 denominator= 242 numerators:, 440, 1430, 3410, 4400 denominator= 253 numerators:, 550, 1540, 3520, 4510, 5500 denominator= 260 numerators:, 650, 1625 denominator= 262 numerators:, 655 denominator= 264 numerators:, 660, 1650, 3630, 4620, 5610 denominator= 266 numerators:, 665, 4655, 8645, 12635, 16625, 20615, 24605 denominator= 270 numerators:, 756, 1728 denominator= 275 numerators:, 770, 1760, 3740, 4730, 5720, 6710 denominator= 286 numerators:, 880, 1870, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 291 numerators:, 970, 1940 denominator= 294 numerators:, 980, 1960, 3920, 4900 denominator= 297 numerators:, 990, 1980, 3960, 4950, 6930, 7920, 9900 denominator= 341 numerators:, 440, 1430, 2420, 4400 denominator= 352 numerators:, 550, 1540, 2530, 4510, 5500 denominator= 354 numerators:, 11505 denominator= 363 numerators:, 660, 1650, 2640, 4620, 5610, 6600 denominator= 374 numerators:, 770, 1760, 2750, 4730, 5720, 6710, 7700 denominator= 385 numerators:, 880, 1870, 2860, 4840, 5830, 6820, 7810, 8800 denominator= 390 numerators:, 975, 2925 denominator= 392 numerators:, 980, 2940, 4900 denominator= 394 numerators:, 985, 2955, 4925 denominator= 396 numerators:, 990, 2970, 4950, 6930, 8910 denominator= 398 numerators:, 995, 2985, 4975, 6965, 8955, 10945, 12935, 14925, 16915, 18905 denominator= 440 numerators:, 1430, 2420, 3410 denominator= 442 numerators:, 2431, 6409 denominator= 451 numerators:, 550, 1540, 2530, 3520, 5500 denominator= 462 numerators:, 660, 1650, 2640, 3630, 5610, 6600 denominator= 473 numerators:, 770, 1760, 2750, 3740, 5720, 6710, 7700 denominator= 484 numerators:, 880, 1870, 2860, 3850, 5830, 6820, 7810, 8800 denominator= 488 numerators:, 15860, 37820 denominator= 530 numerators:, 1325 denominator= 532 numerators:, 1330, 3325, 7315, 9310, 11305 denominator= 550 numerators:, 1540, 2530, 3520, 4510 denominator= 561 numerators:, 660, 1650, 2640, 3630, 4620, 6600 denominator= 572 numerators:, 770, 1760, 2750, 3740, 4730, 6710, 7700 denominator= 576 numerators:, 18720 denominator= 583 numerators:, 880, 1870, 2860, 3850, 4840, 6820, 7810, 8800 denominator= 591 numerators:, 985, 1970, 3940, 4925 denominator= 594 numerators:, 990, 1980, 3960, 4950, 6930, 7920, 9900 denominator= 597 numerators:, 995, 1990, 3980, 4975, 6965, 7960, 9950, 10945, 12935, 13930, 15920, 16915, 18905, 19900 denominator= 622 numerators:, 20215, 48205 denominator= 660 numerators:, 1650, 3630, 5610 denominator= 662 numerators:, 1655, 3641, 5627, 7613 denominator= 664 numerators:, 1660, 3652, 5644, 7636, 9628, 11620, 13612, 15604 denominator= 671 numerators:, 770, 1760, 2750, 3740, 4730, 5720, 7700 denominator= 682 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 7810, 8800 denominator= 693 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 7920, 8910, 9900 denominator= 754 numerators:, 24505 denominator= 770 numerators:, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 781 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 6820, 8800 denominator= 790 numerators:, 1975, 5925 denominator= 792 numerators:, 990, 1980, 2970, 4950, 5940, 6930, 8910, 9900 denominator= 794 numerators:, 1985, 5955, 9925 denominator= 796 numerators:, 995, 1990, 2985, 4975, 5970, 6965, 8955, 9950, 10945, 12935, 13930, 14925, 16915, 17910, 18905 denominator= 798 numerators:, 1995, 5985, 9975, 13965, 17955, 21945, 25935, 29925, 33915, 37905 denominator= 830 numerators:, 332, 1328, 2324, 4316, 5312, 6308, 7304 denominator= 844 numerators:, 27430, 65410 denominator= 854 numerators:, 19520, 30500 denominator= 880 numerators:, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 882 numerators:, 4851 denominator= 884 numerators:, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 886 numerators:, 4873, 12847, 20821 denominator= 891 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 9900 denominator= 894 numerators:, 2980, 5960, 11920, 14900 denominator= 897 numerators:, 2990, 5980, 11960, 14950, 20930, 23920, 29900 denominator= 930 numerators:, 2325 denominator= 931 numerators:, 1330, 3325, 5320, 7315, 11305, 13300 denominator= 932 numerators:, 2330, 16310 denominator= 976 numerators:, 20740, 31720, 42700 ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 110 numerators:, 11 denominator= 220 numerators:, 22 denominator= 325 numerators:, 13 denominator= 330 numerators:, 33 denominator= 332 numerators:, 83 denominator= 440 numerators:, 44 denominator= 550 numerators:, 55 denominator= 640 numerators:, 16 denominator= 650 numerators:, 26 denominator= 660 numerators:, 66 denominator= 664 numerators:, 166 denominator= 665 numerators:, 266 denominator= 756 numerators:, 27 denominator= 770 numerators:, 77 denominator= 775 numerators:, 217 denominator= 880 numerators:, 88 denominator= 950 numerators:, 19 denominator= 975 numerators:, 39 denominator= 980 numerators:, 49 denominator= 990 numerators:, 99 denominator= 995 numerators:, 199 denominator= 996 numerators:, 249 denominator= 998 numerators:, 499 ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 120 numerators:, 12 denominator= 130 numerators:, 13 denominator= 140 numerators:, 14 denominator= 150 numerators:, 15 denominator= 160 numerators:, 16 denominator= 170 numerators:, 17 denominator= 180 numerators:, 18 denominator= 190 numerators:, 19 denominator= 210 numerators:, 21 denominator= 222 numerators:, 1221 denominator= 240 numerators:, 24 denominator= 260 numerators:, 26 denominator= 280 numerators:, 28 denominator= 310 numerators:, 31 denominator= 320 numerators:, 32 denominator= 325 numerators:, 130 denominator= 332 numerators:, 830 denominator= 360 numerators:, 36 denominator= 370 numerators:, 37 denominator= 380 numerators:, 38 denominator= 390 numerators:, 39 denominator= 410 numerators:, 41 denominator= 420 numerators:, 42 denominator= 430 numerators:, 43 denominator= 444 numerators:, 1443, 2442, 3441 denominator= 510 numerators:, 51 denominator= 520 numerators:, 52 denominator= 530 numerators:, 53 denominator= 540 numerators:, 54 denominator= 555 numerators:, 1554, 2553, 3552, 4551 denominator= 610 numerators:, 61 denominator= 620 numerators:, 62 denominator= 630 numerators:, 63 denominator= 640 numerators:, 64, 160 denominator= 644 numerators:, 161 denominator= 648 numerators:, 162 denominator= 650 numerators:, 65, 260 denominator= 652 numerators:, 163 denominator= 655 numerators:, 262 denominator= 656 numerators:, 164 denominator= 664 numerators:, 166, 1162, 1660 denominator= 665 numerators:, 266, 1064, 1463, 1862, 2261 denominator= 666 numerators:, 1665, 3663, 5661 denominator= 710 numerators:, 71 denominator= 720 numerators:, 72 denominator= 730 numerators:, 73 denominator= 740 numerators:, 74 denominator= 750 numerators:, 75 denominator= 756 numerators:, 270 denominator= 760 numerators:, 76 denominator= 775 numerators:, 2170 denominator= 777 numerators:, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 810 numerators:, 81 denominator= 820 numerators:, 82 denominator= 830 numerators:, 83 denominator= 840 numerators:, 84 denominator= 850 numerators:, 85 denominator= 860 numerators:, 86 denominator= 870 numerators:, 87 denominator= 888 numerators:, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 910 numerators:, 91 denominator= 920 numerators:, 92 denominator= 930 numerators:, 93 denominator= 940 numerators:, 94 denominator= 950 numerators:, 95, 190 denominator= 955 numerators:, 191 denominator= 960 numerators:, 96, 192 denominator= 965 numerators:, 193 denominator= 970 numerators:, 97, 194, 291 denominator= 975 numerators:, 195, 390 denominator= 980 numerators:, 98, 196, 294, 392, 490 denominator= 982 numerators:, 491 denominator= 984 numerators:, 492 denominator= 985 numerators:, 197, 394, 591 denominator= 986 numerators:, 493 denominator= 988 numerators:, 494 denominator= 992 numerators:, 496 denominator= 994 numerators:, 497, 1491 denominator= 995 numerators:, 199, 398, 597, 796, 1194, 1393, 1592, 1791 denominator= 996 numerators:, 498, 1494, 2490 denominator= 998 numerators:, 499, 1497, 2495, 3493, 4491 ------------------------------------------------------------------------- Section 9 All the Anomalous Cancellations with the denominator with, 3, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 220 numerators:, 1210 denominator= 432 numerators:, 1404 denominator= 436 numerators:, 1417 denominator= 438 numerators:, 2409 denominator= 440 numerators:, 1430, 2420, 3410 denominator= 442 numerators:, 2431, 6409 denominator= 540 numerators:, 1512 denominator= 545 numerators:, 1526, 2507 denominator= 550 numerators:, 1540, 2530, 3520, 4510 denominator= 640 numerators:, 1600 denominator= 642 numerators:, 1605 denominator= 644 numerators:, 1610 denominator= 646 numerators:, 1615 denominator= 648 numerators:, 1620 denominator= 650 numerators:, 1625 denominator= 652 numerators:, 1630 denominator= 654 numerators:, 1635 denominator= 656 numerators:, 1640, 3608 denominator= 658 numerators:, 1645, 3619 denominator= 660 numerators:, 1650, 3630, 5610 denominator= 662 numerators:, 1655, 3641, 5627, 7613 denominator= 664 numerators:, 1660, 3652, 5644, 7636, 9628, 11620, 13612, 15604 denominator= 749 numerators:, 1712 denominator= 756 numerators:, 1728, 2700 denominator= 763 numerators:, 1744, 2725, 3706 denominator= 770 numerators:, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 848 numerators:, 1802 denominator= 856 numerators:, 1819 denominator= 864 numerators:, 1836, 2808 denominator= 868 numerators:, 2821 denominator= 872 numerators:, 1853, 2834, 3815 denominator= 874 numerators:, 4807 denominator= 876 numerators:, 2847, 4818 denominator= 878 numerators:, 4829 denominator= 880 numerators:, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 882 numerators:, 4851 denominator= 884 numerators:, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 886 numerators:, 4873, 12847, 20821 ------------------------------------------------------------------------- Chapter 3 : The denominator has 4 digits Section 1 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator ------------------------------------------------------------------------- Section 2 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 1022 numerators:, 5621 denominator= 1026 numerators:, 2565 denominator= 1044 numerators:, 5742 denominator= 1048 numerators:, 4585 denominator= 1055 numerators:, 2954, 4853, 6752, 8651 denominator= 1057 numerators:, 3775 denominator= 1066 numerators:, 2665, 5863, 9061 denominator= 1088 numerators:, 5984 denominator= 1106 numerators:, 2765 denominator= 1127 numerators:, 2576, 5474, 8372 denominator= 1146 numerators:, 2865 denominator= 1186 numerators:, 2965 denominator= 1197 numerators:, 4275 denominator= 1208 numerators:, 5285 denominator= 1222 numerators:, 6721 denominator= 1226 numerators:, 3065 denominator= 1244 numerators:, 4043, 6842, 9641 denominator= 1266 numerators:, 3165, 6963, 10761 denominator= 1288 numerators:, 4186, 7084, 9982 denominator= 1305 numerators:, 3654, 8352 denominator= 1306 numerators:, 3265 denominator= 1337 numerators:, 4775 denominator= 1346 numerators:, 3365 denominator= 1368 numerators:, 5985 denominator= 1386 numerators:, 3465 denominator= 1422 numerators:, 7821 denominator= 1426 numerators:, 3565 denominator= 1444 numerators:, 7942 denominator= 1466 numerators:, 3665, 8063, 12461 denominator= 1477 numerators:, 3376, 5275, 7174, 9073, 10972, 12871 denominator= 1488 numerators:, 8184 denominator= 1506 numerators:, 3765 denominator= 1528 numerators:, 6685 denominator= 1546 numerators:, 3865 denominator= 1555 numerators:, 4354, 7153, 9952, 12751 denominator= 1586 numerators:, 3965 denominator= 1617 numerators:, 5775 denominator= 1622 numerators:, 8921 denominator= 1626 numerators:, 4065 denominator= 1644 numerators:, 5343, 9042, 12741 denominator= 1666 numerators:, 4165, 9163, 14161 denominator= 1688 numerators:, 3587, 5486, 7385, 9284, 11183, 13082, 14981 denominator= 1706 numerators:, 4265 denominator= 1746 numerators:, 4365 denominator= 1757 numerators:, 6275 denominator= 1786 numerators:, 4465 denominator= 1805 numerators:, 5054, 11552 denominator= 1822 numerators:, 10021 denominator= 1826 numerators:, 4565 denominator= 1827 numerators:, 4176, 8874, 13572 denominator= 1844 numerators:, 10142 denominator= 1848 numerators:, 8085 denominator= 1866 numerators:, 4665, 10263, 15861 denominator= 1888 numerators:, 10384 denominator= 1897 numerators:, 6775 denominator= 1906 numerators:, 4765 denominator= 1946 numerators:, 4865 denominator= 1986 numerators:, 4965 denominator= 2008 numerators:, 8785 denominator= 2022 numerators:, 11121 denominator= 2026 numerators:, 5065 denominator= 2037 numerators:, 7275 denominator= 2044 numerators:, 6643, 11242, 15841 denominator= 2055 numerators:, 5754, 9453, 13152, 16851 denominator= 2066 numerators:, 5165, 11363, 17561 denominator= 2088 numerators:, 6786, 11484, 16182 denominator= 2106 numerators:, 5265 denominator= 2146 numerators:, 5365 denominator= 2168 numerators:, 9485 denominator= 2177 numerators:, 4976, 7775, 10574, 13373, 16172, 18971 denominator= 2186 numerators:, 5465 denominator= 2222 numerators:, 12221 denominator= 2226 numerators:, 5565 denominator= 2244 numerators:, 12342 denominator= 2266 numerators:, 5665, 12463, 19261 denominator= 2288 numerators:, 12584 denominator= 2305 numerators:, 6454, 14752 denominator= 2306 numerators:, 5765 denominator= 2317 numerators:, 8275 denominator= 2328 numerators:, 10185 denominator= 2346 numerators:, 5865 denominator= 2386 numerators:, 5965 denominator= 2422 numerators:, 13321 denominator= 2426 numerators:, 6065 denominator= 2444 numerators:, 7943, 13442, 18941 denominator= 2457 numerators:, 8775 denominator= 2466 numerators:, 6165, 13563, 20961 denominator= 2488 numerators:, 5287, 8086, 10885, 13684, 16483, 19282, 22081 denominator= 2506 numerators:, 6265 denominator= 2527 numerators:, 5776, 12274, 18772 denominator= 2546 numerators:, 6365 denominator= 2555 numerators:, 7154, 11753, 16352, 20951 denominator= 2586 numerators:, 6465 denominator= 2597 numerators:, 9275 denominator= 2622 numerators:, 14421 denominator= 2626 numerators:, 6565 denominator= 2644 numerators:, 14542 denominator= 2648 numerators:, 11585 denominator= 2666 numerators:, 6665, 14663, 22661 denominator= 2688 numerators:, 14784 denominator= 2706 numerators:, 6765 denominator= 2737 numerators:, 9775 denominator= 2746 numerators:, 6865 denominator= 2786 numerators:, 6965 denominator= 2805 numerators:, 7854, 17952 denominator= 2808 numerators:, 12285 denominator= 2822 numerators:, 15521 denominator= 2826 numerators:, 7065 denominator= 2844 numerators:, 9243, 15642, 22041 denominator= 2866 numerators:, 7165, 15763, 24361 denominator= 2877 numerators:, 6576, 10275, 13974, 17673, 21372, 25071 denominator= 2888 numerators:, 9386, 15884, 22382 denominator= 2906 numerators:, 7265 denominator= 2946 numerators:, 7365 denominator= 2968 numerators:, 12985 denominator= 2986 numerators:, 7465 denominator= 3017 numerators:, 10775 denominator= 3022 numerators:, 16621 denominator= 3026 numerators:, 7565 denominator= 3044 numerators:, 16742 denominator= 3055 numerators:, 8554, 14053, 19552, 25051 denominator= 3066 numerators:, 7665, 16863, 26061 denominator= 3088 numerators:, 16984 denominator= 3106 numerators:, 7765 denominator= 3128 numerators:, 13685 denominator= 3146 numerators:, 7865 denominator= 3157 numerators:, 11275 denominator= 3186 numerators:, 7965 denominator= 3222 numerators:, 17721 denominator= 3226 numerators:, 8065 denominator= 3227 numerators:, 7376, 15674, 23972 denominator= 3244 numerators:, 10543, 17842, 25141 denominator= 3266 numerators:, 8165, 17963, 27761 denominator= 3288 numerators:, 6987, 10686, 14385, 18084, 21783, 25482, 29181 denominator= 3297 numerators:, 11775 denominator= 3305 numerators:, 9254, 21152 denominator= 3306 numerators:, 8265 denominator= 3346 numerators:, 8365 denominator= 3386 numerators:, 8465 denominator= 3422 numerators:, 18821 denominator= 3426 numerators:, 8565 denominator= 3437 numerators:, 12275 denominator= 3444 numerators:, 18942 denominator= 3448 numerators:, 15085 denominator= 3466 numerators:, 8665, 19063, 29461 denominator= 3488 numerators:, 19184 denominator= 3506 numerators:, 8765 denominator= 3546 numerators:, 8865 denominator= 3555 numerators:, 9954, 16353, 22752, 29151 denominator= 3577 numerators:, 8176, 12775, 17374, 21973, 26572, 31171 denominator= 3586 numerators:, 8965 denominator= 3608 numerators:, 15785 denominator= 3622 numerators:, 19921 denominator= 3626 numerators:, 9065 denominator= 3644 numerators:, 11843, 20042, 28241 denominator= 3666 numerators:, 9165, 20163, 31161 denominator= 3688 numerators:, 11986, 20284, 28582 denominator= 3706 numerators:, 9265 denominator= 3717 numerators:, 13275 denominator= 3746 numerators:, 9365 denominator= 3768 numerators:, 16485 denominator= 3786 numerators:, 9465 denominator= 3805 numerators:, 10654, 24352 denominator= 3822 numerators:, 21021 denominator= 3826 numerators:, 9565 denominator= 3844 numerators:, 21142 denominator= 3857 numerators:, 13775 denominator= 3866 numerators:, 9665, 21263, 32861 denominator= 3888 numerators:, 21384 denominator= 3906 numerators:, 9765 denominator= 3927 numerators:, 8976, 19074, 29172 denominator= 3928 numerators:, 17185 denominator= 3946 numerators:, 9865 denominator= 3986 numerators:, 9965 denominator= 3997 numerators:, 14275 denominator= 4022 numerators:, 22121 denominator= 4026 numerators:, 10065 denominator= 4044 numerators:, 13143, 22242, 31341 denominator= 4055 numerators:, 11354, 18653, 25952, 33251 denominator= 4066 numerators:, 10165, 22363, 34561 denominator= 4088 numerators:, 8687, 13286, 17885, 22484, 27083, 31682, 36281 denominator= 4106 numerators:, 10265 denominator= 4137 numerators:, 14775 denominator= 4146 numerators:, 10365 denominator= 4186 numerators:, 10465 denominator= 4222 numerators:, 23221 denominator= 4226 numerators:, 10565 denominator= 4244 numerators:, 23342 denominator= 4248 numerators:, 18585 denominator= 4266 numerators:, 10665, 23463, 36261 denominator= 4277 numerators:, 9776, 15275, 20774, 26273, 31772, 37271 denominator= 4288 numerators:, 23584 denominator= 4305 numerators:, 12054, 27552 denominator= 4306 numerators:, 10765 denominator= 4346 numerators:, 10865 denominator= 4386 numerators:, 10965 denominator= 4408 numerators:, 19285 denominator= 4417 numerators:, 15775 denominator= 4422 numerators:, 24321 denominator= 4426 numerators:, 11065 denominator= 4444 numerators:, 14443, 24442, 34441 denominator= 4466 numerators:, 11165, 24563, 37961 denominator= 4488 numerators:, 14586, 24684, 34782 denominator= 4506 numerators:, 11265 denominator= 4546 numerators:, 11365 denominator= 4555 numerators:, 12754, 20953, 29152, 37351 denominator= 4557 numerators:, 16275 denominator= 4568 numerators:, 19985 denominator= 4586 numerators:, 11465 denominator= 4622 numerators:, 25421 denominator= 4626 numerators:, 11565 denominator= 4627 numerators:, 10576, 22474, 34372 denominator= 4644 numerators:, 25542 denominator= 4666 numerators:, 11665, 25663, 39661 denominator= 4688 numerators:, 25784 denominator= 4697 numerators:, 16775 denominator= 4706 numerators:, 11765 denominator= 4728 numerators:, 20685 denominator= 4746 numerators:, 11865 denominator= 4786 numerators:, 11965 denominator= 4805 numerators:, 13454, 30752 denominator= 4822 numerators:, 26521 denominator= 4826 numerators:, 12065 denominator= 4837 numerators:, 17275 denominator= 4844 numerators:, 15743, 26642, 37541 denominator= 4866 numerators:, 12165, 26763, 41361 denominator= 4888 numerators:, 10387, 15886, 21385, 26884, 32383, 37882, 43381 denominator= 4906 numerators:, 12265 denominator= 4946 numerators:, 12365 denominator= 4977 numerators:, 11376, 17775, 24174, 30573, 36972, 43371 denominator= 4986 numerators:, 12465 denominator= 5022 numerators:, 27621 denominator= 5026 numerators:, 12565 denominator= 5044 numerators:, 27742 denominator= 5048 numerators:, 22085 denominator= 5055 numerators:, 14154, 23253, 32352, 41451 denominator= 5066 numerators:, 12665, 27863, 43061 denominator= 5088 numerators:, 27984 denominator= 5106 numerators:, 12765 denominator= 5117 numerators:, 18275 denominator= 5146 numerators:, 12865 denominator= 5186 numerators:, 12965 denominator= 5208 numerators:, 22785 denominator= 5222 numerators:, 28721 denominator= 5226 numerators:, 13065 denominator= 5244 numerators:, 17043, 28842, 40641 denominator= 5257 numerators:, 18775 denominator= 5266 numerators:, 13165, 28963, 44761 denominator= 5288 numerators:, 17186, 29084, 40982 denominator= 5305 numerators:, 14854, 33952 denominator= 5306 numerators:, 13265 denominator= 5327 numerators:, 12176, 25874, 39572 denominator= 5346 numerators:, 13365 denominator= 5368 numerators:, 23485 denominator= 5386 numerators:, 13465 denominator= 5397 numerators:, 19275 denominator= 5422 numerators:, 29821 denominator= 5426 numerators:, 13565 denominator= 5444 numerators:, 29942 denominator= 5466 numerators:, 13665, 30063, 46461 denominator= 5488 numerators:, 30184 denominator= 5506 numerators:, 13765 denominator= 5528 numerators:, 24185 denominator= 5537 numerators:, 19775 denominator= 5546 numerators:, 13865 denominator= 5555 numerators:, 15554, 25553, 35552, 45551 denominator= 5586 numerators:, 13965 denominator= 5622 numerators:, 30921 denominator= 5626 numerators:, 14065 denominator= 5644 numerators:, 18343, 31042, 43741 denominator= 5666 numerators:, 14165, 31163, 48161 denominator= 5677 numerators:, 12976, 20275, 27574, 34873, 42172, 49471 denominator= 5688 numerators:, 12087, 18486, 24885, 31284, 37683, 44082, 50481 denominator= 5706 numerators:, 14265 denominator= 5746 numerators:, 14365 denominator= 5786 numerators:, 14465 denominator= 5805 numerators:, 16254, 37152 denominator= 5817 numerators:, 20775 denominator= 5822 numerators:, 32021 denominator= 5826 numerators:, 14565 denominator= 5844 numerators:, 32142 denominator= 5848 numerators:, 25585 denominator= 5866 numerators:, 14665, 32263, 49861 denominator= 5888 numerators:, 32384 denominator= 5906 numerators:, 14765 denominator= 5946 numerators:, 14865 denominator= 5957 numerators:, 21275 denominator= 5986 numerators:, 14965 denominator= 6008 numerators:, 26285 denominator= 6022 numerators:, 33121 denominator= 6026 numerators:, 15065 denominator= 6027 numerators:, 13776, 29274, 44772 denominator= 6044 numerators:, 19643, 33242, 46841 denominator= 6055 numerators:, 16954, 27853, 38752, 49651 denominator= 6066 numerators:, 15165, 33363, 51561 denominator= 6088 numerators:, 19786, 33484, 47182 denominator= 6097 numerators:, 21775 denominator= 6106 numerators:, 15265 denominator= 6146 numerators:, 15365 denominator= 6168 numerators:, 26985 denominator= 6186 numerators:, 15465 denominator= 6222 numerators:, 34221 denominator= 6226 numerators:, 15565 denominator= 6237 numerators:, 22275 denominator= 6244 numerators:, 34342 denominator= 6266 numerators:, 15665, 34463, 53261 denominator= 6288 numerators:, 34584 denominator= 6305 numerators:, 17654, 40352 denominator= 6306 numerators:, 15765 denominator= 6328 numerators:, 27685 denominator= 6346 numerators:, 15865 denominator= 6377 numerators:, 14576, 22775, 30974, 39173, 47372, 55571 denominator= 6386 numerators:, 15965 denominator= 6422 numerators:, 35321 denominator= 6426 numerators:, 16065 denominator= 6444 numerators:, 20943, 35442, 49941 denominator= 6466 numerators:, 16165, 35563, 54961 denominator= 6488 numerators:, 13787, 21086, 28385, 35684, 42983, 50282, 57581 denominator= 6506 numerators:, 16265 denominator= 6517 numerators:, 23275 denominator= 6546 numerators:, 16365 denominator= 6555 numerators:, 18354, 30153, 41952, 53751 denominator= 6586 numerators:, 16465 denominator= 6622 numerators:, 36421 denominator= 6626 numerators:, 16565 denominator= 6644 numerators:, 36542 denominator= 6648 numerators:, 29085 denominator= 6657 numerators:, 23775 denominator= 6666 numerators:, 16665, 36663, 56661 denominator= 6688 numerators:, 36784 denominator= 6706 numerators:, 16765 denominator= 6727 numerators:, 15376, 32674, 49972 denominator= 6746 numerators:, 16865 denominator= 6786 numerators:, 16965 denominator= 6797 numerators:, 24275 denominator= 6805 numerators:, 19054, 43552 denominator= 6808 numerators:, 29785 denominator= 6822 numerators:, 37521 denominator= 6826 numerators:, 17065 denominator= 6844 numerators:, 22243, 37642, 53041 denominator= 6866 numerators:, 17165, 37763, 58361 denominator= 6888 numerators:, 22386, 37884, 53382 denominator= 6906 numerators:, 17265 denominator= 6937 numerators:, 24775 denominator= 6946 numerators:, 17365 denominator= 6968 numerators:, 30485 denominator= 6986 numerators:, 17465 denominator= 7022 numerators:, 38621 denominator= 7026 numerators:, 17565 denominator= 7044 numerators:, 38742 denominator= 7055 numerators:, 19754, 32453, 45152, 57851 denominator= 7066 numerators:, 17665, 38863, 60061 denominator= 7077 numerators:, 16176, 25275, 34374, 43473, 52572, 61671 denominator= 7088 numerators:, 38984 denominator= 7106 numerators:, 17765 denominator= 7128 numerators:, 31185 denominator= 7146 numerators:, 17865 denominator= 7186 numerators:, 17965 denominator= 7217 numerators:, 25775 denominator= 7222 numerators:, 39721 denominator= 7226 numerators:, 18065 denominator= 7244 numerators:, 23543, 39842, 56141 denominator= 7266 numerators:, 18165, 39963, 61761 denominator= 7288 numerators:, 15487, 23686, 31885, 40084, 48283, 56482, 64681 denominator= 7305 numerators:, 20454, 46752 denominator= 7306 numerators:, 18265 denominator= 7346 numerators:, 18365 denominator= 7357 numerators:, 26275 denominator= 7386 numerators:, 18465 denominator= 7422 numerators:, 40821 denominator= 7426 numerators:, 18565 denominator= 7427 numerators:, 16976, 36074, 55172 denominator= 7444 numerators:, 40942 denominator= 7448 numerators:, 32585 denominator= 7466 numerators:, 18665, 41063, 63461 denominator= 7488 numerators:, 41184 denominator= 7497 numerators:, 26775 denominator= 7506 numerators:, 18765 denominator= 7546 numerators:, 18865 denominator= 7555 numerators:, 21154, 34753, 48352, 61951 denominator= 7586 numerators:, 18965 denominator= 7608 numerators:, 33285 denominator= 7622 numerators:, 41921 denominator= 7626 numerators:, 19065 denominator= 7637 numerators:, 27275 denominator= 7644 numerators:, 24843, 42042, 59241 denominator= 7666 numerators:, 19165, 42163, 65161 denominator= 7688 numerators:, 24986, 42284, 59582 denominator= 7706 numerators:, 19265 denominator= 7746 numerators:, 19365 denominator= 7768 numerators:, 33985 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771 denominator= 7786 numerators:, 19465 denominator= 7805 numerators:, 21854, 49952 denominator= 7822 numerators:, 43021 denominator= 7826 numerators:, 19565 denominator= 7844 numerators:, 43142 denominator= 7866 numerators:, 19665, 43263, 66861 denominator= 7888 numerators:, 43384 denominator= 7906 numerators:, 19765 denominator= 7917 numerators:, 28275 denominator= 7928 numerators:, 34685 denominator= 7946 numerators:, 19865 denominator= 7986 numerators:, 19965 denominator= 8022 numerators:, 44121 denominator= 8026 numerators:, 20065 denominator= 8044 numerators:, 26143, 44242, 62341 denominator= 8055 numerators:, 22554, 37053, 51552, 66051 denominator= 8057 numerators:, 28775 denominator= 8066 numerators:, 20165, 44363, 68561 denominator= 8088 numerators:, 17187, 26286, 35385, 44484, 53583, 62682, 71781 denominator= 8106 numerators:, 20265 denominator= 8127 numerators:, 18576, 39474, 60372 denominator= 8146 numerators:, 20365 denominator= 8186 numerators:, 20465 denominator= 8197 numerators:, 29275 denominator= 8222 numerators:, 45221 denominator= 8226 numerators:, 20565 denominator= 8244 numerators:, 45342 denominator= 8248 numerators:, 36085 denominator= 8266 numerators:, 20665, 45463, 70261 denominator= 8288 numerators:, 45584 denominator= 8305 numerators:, 23254, 53152 denominator= 8306 numerators:, 20765 denominator= 8337 numerators:, 29775 denominator= 8346 numerators:, 20865 denominator= 8386 numerators:, 20965 denominator= 8408 numerators:, 36785 denominator= 8422 numerators:, 46321 denominator= 8426 numerators:, 21065 denominator= 8444 numerators:, 27443, 46442, 65441 denominator= 8466 numerators:, 21165, 46563, 71961 denominator= 8477 numerators:, 19376, 30275, 41174, 52073, 62972, 73871 denominator= 8488 numerators:, 27586, 46684, 65782 denominator= 8506 numerators:, 21265 denominator= 8546 numerators:, 21365 denominator= 8555 numerators:, 23954, 39353, 54752, 70151 denominator= 8568 numerators:, 37485 denominator= 8586 numerators:, 21465 denominator= 8617 numerators:, 30775 denominator= 8622 numerators:, 47421 denominator= 8626 numerators:, 21565 denominator= 8644 numerators:, 47542 denominator= 8666 numerators:, 21665, 47663, 73661 denominator= 8688 numerators:, 47784 denominator= 8706 numerators:, 21765 denominator= 8728 numerators:, 38185 denominator= 8746 numerators:, 21865 denominator= 8757 numerators:, 31275 denominator= 8786 numerators:, 21965 denominator= 8805 numerators:, 24654, 56352 denominator= 8822 numerators:, 48521 denominator= 8826 numerators:, 22065 denominator= 8827 numerators:, 20176, 42874, 65572 denominator= 8844 numerators:, 28743, 48642, 68541 denominator= 8866 numerators:, 22165, 48763, 75361 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881 denominator= 8897 numerators:, 31775 denominator= 8906 numerators:, 22265 denominator= 8946 numerators:, 22365 denominator= 8986 numerators:, 22465 denominator= 9022 numerators:, 49621 denominator= 9026 numerators:, 22565 denominator= 9037 numerators:, 32275 denominator= 9044 numerators:, 49742 denominator= 9048 numerators:, 39585 denominator= 9055 numerators:, 25354, 41653, 57952, 74251 denominator= 9066 numerators:, 22665, 49863, 77061 denominator= 9088 numerators:, 49984 denominator= 9106 numerators:, 22765 denominator= 9146 numerators:, 22865 denominator= 9177 numerators:, 20976, 32775, 44574, 56373, 68172, 79971 denominator= 9186 numerators:, 22965 denominator= 9208 numerators:, 40285 denominator= 9222 numerators:, 50721 denominator= 9226 numerators:, 23065 denominator= 9244 numerators:, 30043, 50842, 71641 denominator= 9266 numerators:, 23165, 50963, 78761 denominator= 9288 numerators:, 30186, 51084, 71982 denominator= 9305 numerators:, 26054, 59552 denominator= 9306 numerators:, 23265 denominator= 9317 numerators:, 33275 denominator= 9346 numerators:, 23365 denominator= 9368 numerators:, 40985 denominator= 9386 numerators:, 23465 denominator= 9422 numerators:, 51821 denominator= 9426 numerators:, 23565 denominator= 9444 numerators:, 51942 denominator= 9457 numerators:, 33775 denominator= 9466 numerators:, 23665, 52063, 80461 denominator= 9488 numerators:, 52184 denominator= 9506 numerators:, 23765 denominator= 9527 numerators:, 21776, 46274, 70772 denominator= 9528 numerators:, 41685 denominator= 9546 numerators:, 23865 denominator= 9555 numerators:, 26754, 43953, 61152, 78351 denominator= 9586 numerators:, 23965 denominator= 9597 numerators:, 34275 denominator= 9622 numerators:, 52921 denominator= 9626 numerators:, 24065 denominator= 9644 numerators:, 31343, 53042, 74741 denominator= 9666 numerators:, 24165, 53163, 82161 denominator= 9688 numerators:, 20587, 31486, 42385, 53284, 64183, 75082, 85981 denominator= 9706 numerators:, 24265 denominator= 9737 numerators:, 34775 denominator= 9746 numerators:, 24365 denominator= 9786 numerators:, 24465 denominator= 9805 numerators:, 27454, 62752 denominator= 9822 numerators:, 54021 denominator= 9826 numerators:, 24565 denominator= 9844 numerators:, 54142 denominator= 9848 numerators:, 43085 denominator= 9866 numerators:, 24665, 54263, 83861 denominator= 9877 numerators:, 22576, 35275, 47974, 60673, 73372, 86071 denominator= 9888 numerators:, 54384 denominator= 9906 numerators:, 24765 denominator= 9946 numerators:, 24865 denominator= 9986 numerators:, 24965 ------------------------------------------------------------------------- Section 3 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 1022 numerators:, 33215, 79205 denominator= 1048 numerators:, 45850 denominator= 1057 numerators:, 3775, 37750, 71725 denominator= 1066 numerators:, 2665, 18655, 34645, 50635, 66625, 82615, 98605 denominator= 1084 numerators:, 47425 denominator= 1127 numerators:, 25760, 54740, 83720 denominator= 1146 numerators:, 71625 denominator= 1197 numerators:, 42750 denominator= 1208 numerators:, 18875, 52850, 86825 denominator= 1226 numerators:, 76625 denominator= 1244 numerators:, 26435, 40430, 54425, 82415, 96410, 110405 denominator= 1288 numerators:, 41860, 99820 denominator= 1306 numerators:, 81625 denominator= 1337 numerators:, 4775, 47750, 90725 denominator= 1368 numerators:, 59850 denominator= 1386 numerators:, 86625 denominator= 1404 numerators:, 61425 denominator= 1422 numerators:, 46215, 110205 denominator= 1466 numerators:, 3665, 25655, 47645, 69635, 91625, 113615, 135605 denominator= 1477 numerators:, 33760, 52750, 71740, 90730, 109720, 128710 denominator= 1528 numerators:, 23875, 66850, 109825 denominator= 1546 numerators:, 96625 denominator= 1564 numerators:, 68425 denominator= 1617 numerators:, 5775, 57750, 109725 denominator= 1626 numerators:, 101625 denominator= 1644 numerators:, 53430, 127410 denominator= 1688 numerators:, 35870, 54860, 73850, 111830, 130820, 149810 denominator= 1706 numerators:, 106625 denominator= 1724 numerators:, 75425 denominator= 1757 numerators:, 62750 denominator= 1786 numerators:, 111625 denominator= 1805 numerators:, 11552, 24548, 37544, 63536, 76532, 89528, 102524, 128516, 141512, 154508, 167504 denominator= 1822 numerators:, 59215, 141205 denominator= 1827 numerators:, 41760, 88740, 135720 denominator= 1848 numerators:, 28875, 80850, 132825 denominator= 1866 numerators:, 4665, 32655, 60645, 88635, 116625, 144615, 172605 denominator= 1884 numerators:, 82425 denominator= 1897 numerators:, 6775, 67750, 128725 denominator= 1946 numerators:, 121625 denominator= 2008 numerators:, 87850 denominator= 2026 numerators:, 126625 denominator= 2037 numerators:, 72750 denominator= 2044 numerators:, 43435, 66430, 89425, 135415, 158410, 181405 denominator= 2088 numerators:, 67860, 161820 denominator= 2106 numerators:, 131625 denominator= 2168 numerators:, 33875, 94850, 155825 denominator= 2177 numerators:, 7775, 35765, 49760, 63755, 77750, 91745, 105740, 133730, 147725, 161720, 175715, 189710, 203705 denominator= 2186 numerators:, 136625 denominator= 2204 numerators:, 96425 denominator= 2222 numerators:, 12221, 32219, 52217, 72215, 92213, 112211, 132209, 152207, 172205, 192203, 212201 denominator= 2266 numerators:, 5665, 39655, 73645, 107635, 141625, 175615, 209605 denominator= 2317 numerators:, 82750 denominator= 2328 numerators:, 101850 denominator= 2346 numerators:, 146625 denominator= 2364 numerators:, 103425 denominator= 2426 numerators:, 151625 denominator= 2444 numerators:, 13442, 35438, 57434, 79430, 101426, 123422, 145418, 167414, 189410, 211406, 233402 denominator= 2457 numerators:, 8775, 87750, 166725 denominator= 2488 numerators:, 10885, 38875, 52870, 66865, 80860, 94855, 108850, 122845, 150835, 164830, 178825, 192820, 206815, 220810, 234805 denominator= 2506 numerators:, 156625 denominator= 2524 numerators:, 110425 denominator= 2527 numerators:, 5776, 18772, 31768, 44764, 57760, 83752, 96748, 109744, 122740, 135736, 148732, 174724, 187720, 200716, 213712, 226708, 239704 denominator= 2586 numerators:, 161625 denominator= 2597 numerators:, 92750 denominator= 2622 numerators:, 85215, 203205 denominator= 2648 numerators:, 115850 denominator= 2666 numerators:, 6665, 14663, 22661, 30659, 38657, 46655, 54653, 62651, 70649, 78647, 86645, 94643, 102641, 110639, 118637, 126635, 134633, 142631, 150629, 158627, 166625, 174623, 182621, 190619, 198617, 206615, 214613, 222611, 230609, 238607, 246605, 254603, 262601 denominator= 2684 numerators:, 117425 denominator= 2737 numerators:, 9775, 97750, 185725 denominator= 2746 numerators:, 171625 denominator= 2808 numerators:, 43875, 122850, 201825 denominator= 2826 numerators:, 176625 denominator= 2844 numerators:, 60435, 92430, 124425, 188415, 220410, 252405 denominator= 2877 numerators:, 65760, 102750, 139740, 176730, 213720, 250710 denominator= 2888 numerators:, 15884, 41876, 67868, 93860, 119852, 145844, 171836, 197828, 223820, 249812, 275804 denominator= 2906 numerators:, 181625 denominator= 2968 numerators:, 129850 denominator= 2986 numerators:, 186625 denominator= 3004 numerators:, 131425 denominator= 3017 numerators:, 10775, 107750, 204725 denominator= 3022 numerators:, 98215, 234205 denominator= 3055 numerators:, 8554, 19552, 41548, 52546, 63544, 74542, 96538, 107536, 118534, 129532, 151528, 162526, 173524, 184522, 206518, 217516, 228514, 239512, 261508, 272506, 283504, 294502 denominator= 3066 numerators:, 7665, 53655, 99645, 145635, 191625, 237615, 283605 denominator= 3128 numerators:, 48875, 136850, 224825 denominator= 3146 numerators:, 196625 denominator= 3157 numerators:, 112750 denominator= 3164 numerators:, 138425 denominator= 3226 numerators:, 201625 denominator= 3227 numerators:, 73760, 156740, 239720 denominator= 3244 numerators:, 105430, 251410 denominator= 3288 numerators:, 69870, 106860, 143850, 217830, 254820, 291810 denominator= 3297 numerators:, 11775, 117750, 223725 denominator= 3306 numerators:, 206625 denominator= 3324 numerators:, 145425 denominator= 3386 numerators:, 211625 denominator= 3422 numerators:, 111215, 265205 denominator= 3437 numerators:, 122750 denominator= 3448 numerators:, 53875, 150850, 247825 denominator= 3466 numerators:, 8665, 60655, 112645, 164635, 216625, 268615, 320605 denominator= 3484 numerators:, 152425 denominator= 3546 numerators:, 221625 denominator= 3577 numerators:, 12775, 58765, 81760, 104755, 127750, 150745, 173740, 219730, 242725, 265720, 288715, 311710, 334705 denominator= 3608 numerators:, 157850 denominator= 3626 numerators:, 226625 denominator= 3644 numerators:, 77435, 118430, 159425, 241415, 282410, 323405 denominator= 3688 numerators:, 119860, 285820 denominator= 3706 numerators:, 231625 denominator= 3717 numerators:, 132750 denominator= 3768 numerators:, 58875, 164850, 270825 denominator= 3786 numerators:, 236625 denominator= 3804 numerators:, 166425 denominator= 3822 numerators:, 124215, 296205 denominator= 3857 numerators:, 13775, 137750, 261725 denominator= 3866 numerators:, 9665, 67655, 125645, 183635, 241625, 299615, 357605 denominator= 3927 numerators:, 89760, 190740, 291720 denominator= 3928 numerators:, 171850 denominator= 3946 numerators:, 246625 denominator= 3964 numerators:, 173425 denominator= 3997 numerators:, 142750 denominator= 4026 numerators:, 251625 denominator= 4044 numerators:, 131430, 313410 denominator= 4088 numerators:, 17885, 63875, 86870, 109865, 132860, 155855, 178850, 201845, 247835, 270830, 293825, 316820, 339815, 362810, 385805 denominator= 4106 numerators:, 256625 denominator= 4124 numerators:, 180425 denominator= 4137 numerators:, 14775, 147750, 280725 denominator= 4186 numerators:, 261625 denominator= 4222 numerators:, 23221, 61219, 99217, 137215, 175213, 213211, 251209, 289207, 327205, 365203, 403201 denominator= 4248 numerators:, 185850 denominator= 4266 numerators:, 10665, 74655, 138645, 202635, 266625, 330615, 394605 denominator= 4277 numerators:, 9776, 20774, 31772, 53768, 64766, 75764, 86762, 97760, 108758, 130754, 141752, 152750, 163748, 174746, 185744, 207740, 218738, 229736, 240734, 251732, 262730, 284726, 295724, 306722, 317720, 328718, 339716, 361712, 372710, 383708, 394706, 405704, 416702 denominator= 4284 numerators:, 187425 denominator= 4305 numerators:, 27552, 58548, 89544, 151536, 182532, 213528, 244524, 306516, 337512, 368508, 399504 denominator= 4346 numerators:, 271625 denominator= 4408 numerators:, 68875, 192850, 316825 denominator= 4417 numerators:, 15775, 157750, 299725 denominator= 4426 numerators:, 276625 denominator= 4444 numerators:, 14443, 24442, 34441, 54439, 64438, 74437, 94435, 104434, 114433, 134431, 144430, 154429, 174427, 184426, 194425, 214423, 224422, 234421, 254419, 264418, 274417, 294415, 304414, 314413, 334411, 344410, 354409, 374407, 384406, 394405, 414403, 424402, 434401 denominator= 4488 numerators:, 145860, 347820 denominator= 4506 numerators:, 281625 denominator= 4557 numerators:, 162750 denominator= 4568 numerators:, 199850 denominator= 4586 numerators:, 286625 denominator= 4604 numerators:, 201425 denominator= 4622 numerators:, 150215, 358205 denominator= 4627 numerators:, 105760, 224740, 343720 denominator= 4666 numerators:, 11665, 25663, 39661, 53659, 67657, 81655, 95653, 109651, 123649, 137647, 151645, 165643, 179641, 193639, 207637, 221635, 235633, 249631, 263629, 277627, 291625, 305623, 319621, 333619, 347617, 361615, 375613, 389611, 403609, 417607, 431605, 445603, 459601 denominator= 4697 numerators:, 16775, 167750, 318725 denominator= 4728 numerators:, 73875, 206850, 339825 denominator= 4746 numerators:, 296625 denominator= 4764 numerators:, 208425 denominator= 4826 numerators:, 301625 denominator= 4837 numerators:, 172750 denominator= 4844 numerators:, 157430, 375410 denominator= 4888 numerators:, 15886, 26884, 37882, 59878, 70876, 81874, 103870, 114868, 125866, 147862, 158860, 169858, 191854, 202852, 213850, 235846, 246844, 257842, 279838, 290836, 301834, 323830, 334828, 345826, 367822, 378820, 389818, 411814, 422812, 433810, 455806, 466804, 477802 denominator= 4906 numerators:, 306625 denominator= 4924 numerators:, 215425 denominator= 4977 numerators:, 17775, 81765, 113760, 145755, 177750, 209745, 241740, 305730, 337725, 369720, 401715, 433710, 465705 denominator= 4986 numerators:, 311625 denominator= 5022 numerators:, 163215, 389205 denominator= 5048 numerators:, 78875, 220850, 362825 denominator= 5066 numerators:, 12665, 88655, 164645, 240635, 316625, 392615, 468605 denominator= 5084 numerators:, 222425 denominator= 5117 numerators:, 182750 denominator= 5146 numerators:, 321625 denominator= 5208 numerators:, 227850 denominator= 5226 numerators:, 326625 denominator= 5244 numerators:, 111435, 170430, 229425, 347415, 406410, 465405 denominator= 5257 numerators:, 18775, 187750, 356725 denominator= 5288 numerators:, 171860, 409820 denominator= 5306 numerators:, 331625 denominator= 5327 numerators:, 121760, 258740, 395720 denominator= 5368 numerators:, 83875, 234850, 385825 denominator= 5386 numerators:, 336625 denominator= 5397 numerators:, 192750 denominator= 5404 numerators:, 236425 denominator= 5422 numerators:, 176215, 420205 denominator= 5466 numerators:, 13665, 95655, 177645, 259635, 341625, 423615, 505605 denominator= 5528 numerators:, 241850 denominator= 5537 numerators:, 19775, 197750, 375725 denominator= 5546 numerators:, 346625 denominator= 5555 numerators:, 15554, 25553, 35552, 45551, 65549, 75548, 85547, 95546, 115544, 125543, 135542, 145541, 165539, 175538, 185537, 195536, 215534, 225533, 235532, 245531, 265529, 275528, 285527, 295526, 315524, 325523, 335522, 345521, 365519, 375518, 385517, 395516, 415514, 425513, 435512, 445511, 465509, 475508, 485507, 495506, 515504, 525503, 535502, 545501 denominator= 5564 numerators:, 243425 denominator= 5626 numerators:, 351625 denominator= 5644 numerators:, 183430, 437410 denominator= 5677 numerators:, 129760, 202750, 275740, 348730, 421720, 494710 denominator= 5688 numerators:, 24885, 88875, 120870, 152865, 184860, 216855, 248850, 280845, 344835, 376830, 408825, 440820, 472815, 504810, 536805 denominator= 5706 numerators:, 356625 denominator= 5724 numerators:, 250425 denominator= 5786 numerators:, 361625 denominator= 5817 numerators:, 20775, 207750, 394725 denominator= 5822 numerators:, 189215, 451205 denominator= 5848 numerators:, 255850 denominator= 5866 numerators:, 14665, 102655, 190645, 278635, 366625, 454615, 542605 denominator= 5884 numerators:, 257425 denominator= 5946 numerators:, 371625 denominator= 5957 numerators:, 212750 denominator= 6008 numerators:, 93875, 262850, 431825 denominator= 6026 numerators:, 376625 denominator= 6027 numerators:, 13776, 44772, 75768, 106764, 137760, 199752, 230748, 261744, 292740, 323736, 354732, 416724, 447720, 478716, 509712, 540708, 571704 denominator= 6044 numerators:, 128435, 196430, 264425, 400415, 468410, 536405 denominator= 6088 numerators:, 197860, 471820 denominator= 6097 numerators:, 21775, 217750, 413725 denominator= 6106 numerators:, 381625 denominator= 6168 numerators:, 269850 denominator= 6186 numerators:, 386625 denominator= 6204 numerators:, 271425 denominator= 6222 numerators:, 34221, 90219, 146217, 202215, 258213, 314211, 370209, 426207, 482205, 538203, 594201 denominator= 6237 numerators:, 222750 denominator= 6266 numerators:, 15665, 109655, 203645, 297635, 391625, 485615, 579605 denominator= 6328 numerators:, 98875, 276850, 454825 denominator= 6346 numerators:, 396625 denominator= 6364 numerators:, 278425 denominator= 6377 numerators:, 22775, 104765, 145760, 186755, 227750, 268745, 309740, 391730, 432725, 473720, 514715, 555710, 596705 denominator= 6426 numerators:, 401625 denominator= 6444 numerators:, 35442, 93438, 151434, 209430, 267426, 325422, 383418, 441414, 499410, 557406, 615402 denominator= 6488 numerators:, 137870, 210860, 283850, 429830, 502820, 575810 denominator= 6506 numerators:, 406625 denominator= 6517 numerators:, 232750 denominator= 6524 numerators:, 285425 denominator= 6586 numerators:, 411625 denominator= 6622 numerators:, 215215, 513205 denominator= 6648 numerators:, 103875, 290850, 477825 denominator= 6657 numerators:, 23775, 237750, 451725 denominator= 6666 numerators:, 16665, 36663, 56661, 76659, 96657, 116655, 136653, 156651, 176649, 196647, 216645, 236643, 256641, 276639, 296637, 316635, 336633, 356631, 376629, 396627, 416625, 436623, 456621, 476619, 496617, 516615, 536613, 556611, 576609, 596607, 616605, 636603, 656601 denominator= 6684 numerators:, 292425 denominator= 6727 numerators:, 153760, 326740, 499720 denominator= 6746 numerators:, 421625 denominator= 6797 numerators:, 242750 denominator= 6805 numerators:, 43552, 92548, 141544, 239536, 288532, 337528, 386524, 484516, 533512, 582508, 631504 denominator= 6808 numerators:, 297850 denominator= 6826 numerators:, 426625 denominator= 6844 numerators:, 145435, 222430, 299425, 453415, 530410, 607405 denominator= 6888 numerators:, 37884, 99876, 161868, 223860, 285852, 347844, 409836, 471828, 533820, 595812, 657804 denominator= 6906 numerators:, 431625 denominator= 6937 numerators:, 24775, 247750, 470725 denominator= 6968 numerators:, 108875, 304850, 500825 denominator= 6986 numerators:, 436625 denominator= 7004 numerators:, 306425 denominator= 7022 numerators:, 228215, 544205 denominator= 7066 numerators:, 17665, 123655, 229645, 335635, 441625, 547615, 653605 denominator= 7077 numerators:, 161760, 252750, 343740, 434730, 525720, 616710 denominator= 7128 numerators:, 311850 denominator= 7146 numerators:, 446625 denominator= 7164 numerators:, 313425 denominator= 7217 numerators:, 25775, 257750, 489725 denominator= 7226 numerators:, 451625 denominator= 7244 numerators:, 235430, 561410 denominator= 7288 numerators:, 31885, 113875, 154870, 195865, 236860, 277855, 318850, 359845, 441835, 482830, 523825, 564820, 605815, 646810, 687805 denominator= 7306 numerators:, 456625 denominator= 7324 numerators:, 320425 denominator= 7357 numerators:, 262750 denominator= 7386 numerators:, 461625 denominator= 7422 numerators:, 241215, 575205 denominator= 7427 numerators:, 169760, 360740, 551720 denominator= 7448 numerators:, 325850 denominator= 7466 numerators:, 18665, 130655, 242645, 354635, 466625, 578615, 690605 denominator= 7484 numerators:, 327425 denominator= 7497 numerators:, 26775, 267750, 508725 denominator= 7546 numerators:, 471625 denominator= 7608 numerators:, 118875, 332850, 546825 denominator= 7626 numerators:, 476625 denominator= 7637 numerators:, 272750 denominator= 7644 numerators:, 162435, 248430, 334425, 506415, 592410, 678405 denominator= 7688 numerators:, 249860, 595820 denominator= 7706 numerators:, 481625 denominator= 7768 numerators:, 339850 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771, 87769, 97768, 107767, 117766, 127765, 137764, 157762, 167761, 177760, 187759, 197758, 207757, 227755, 237754, 247753, 257752, 267751, 277750, 297748, 307747, 317746, 327745, 337744, 347743, 367741, 377740, 387739, 397738, 407737, 417736, 437734, 447733, 457732, 467731, 477730, 487729, 507727, 517726, 527725, 537724, 547723, 557722, 577720, 587719, 597718, 607717, 617716, 627715, 647713, 657712, 667711, 677710, 687709, 697708, 717706, 727705, 737704, 747703, 757702, 767701 denominator= 7786 numerators:, 486625 denominator= 7804 numerators:, 341425 denominator= 7822 numerators:, 254215, 606205 denominator= 7866 numerators:, 19665, 137655, 255645, 373635, 491625, 609615, 727605 denominator= 7917 numerators:, 282750 denominator= 7928 numerators:, 123875, 346850, 569825 denominator= 7946 numerators:, 496625 denominator= 7964 numerators:, 348425 denominator= 8026 numerators:, 501625 denominator= 8044 numerators:, 261430, 623410 denominator= 8055 numerators:, 22554, 51552, 109548, 138546, 167544, 196542, 254538, 283536, 312534, 341532, 399528, 428526, 457524, 486522, 544518, 573516, 602514, 631512, 689508, 718506, 747504, 776502 denominator= 8057 numerators:, 28775, 287750, 546725 denominator= 8088 numerators:, 171870, 262860, 353850, 535830, 626820, 717810 denominator= 8106 numerators:, 506625 denominator= 8124 numerators:, 355425 denominator= 8127 numerators:, 185760, 394740, 603720 denominator= 8186 numerators:, 511625 denominator= 8197 numerators:, 292750 denominator= 8222 numerators:, 45221, 119219, 193217, 267215, 341213, 415211, 489209, 563207, 637205, 711203, 785201 denominator= 8248 numerators:, 128875, 360850, 592825 denominator= 8266 numerators:, 20665, 144655, 268645, 392635, 516625, 640615, 764605 denominator= 8284 numerators:, 362425 denominator= 8337 numerators:, 29775, 297750, 565725 denominator= 8346 numerators:, 521625 denominator= 8408 numerators:, 367850 denominator= 8426 numerators:, 526625 denominator= 8444 numerators:, 27443, 46442, 65441, 103439, 122438, 141437, 179435, 198434, 217433, 255431, 274430, 293429, 331427, 350426, 369425, 407423, 426422, 445421, 483419, 502418, 521417, 559415, 578414, 597413, 635411, 654410, 673409, 711407, 730406, 749405, 787403, 806402, 825401 denominator= 8477 numerators:, 193760, 302750, 411740, 520730, 629720, 738710 denominator= 8488 numerators:, 275860, 657820 denominator= 8506 numerators:, 531625 denominator= 8568 numerators:, 133875, 374850, 615825 denominator= 8586 numerators:, 536625 denominator= 8604 numerators:, 376425 denominator= 8617 numerators:, 30775, 307750, 584725 denominator= 8622 numerators:, 280215, 668205 denominator= 8666 numerators:, 21665, 47663, 73661, 99659, 125657, 151655, 177653, 203651, 229649, 255647, 281645, 307643, 333641, 359639, 385637, 411635, 437633, 463631, 489629, 515627, 541625, 567623, 593621, 619619, 645617, 671615, 697613, 723611, 749609, 775607, 801605, 827603, 853601 denominator= 8728 numerators:, 381850 denominator= 8746 numerators:, 546625 denominator= 8757 numerators:, 312750 denominator= 8764 numerators:, 383425 denominator= 8826 numerators:, 551625 denominator= 8827 numerators:, 201760, 428740, 655720 denominator= 8844 numerators:, 287430, 685410 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881, 98879, 108878, 118877, 128876, 138875, 148874, 158873, 178871, 188870, 198869, 208868, 218867, 228866, 238865, 258863, 268862, 278861, 288860, 298859, 308858, 318857, 338855, 348854, 358853, 368852, 378851, 388850, 398849, 418847, 428846, 438845, 448844, 458843, 468842, 478841, 498839, 508838, 518837, 528836, 538835, 548834, 558833, 578831, 588830, 598829, 608828, 618827, 628826, 638825, 658823, 668822, 678821, 688820, 698819, 708818, 718817, 738815, 748814, 758813, 768812, 778811, 788810, 798809, 818807, 828806, 838805, 848804, 858803, 868802, 878801 denominator= 8897 numerators:, 31775, 317750, 603725 denominator= 8906 numerators:, 556625 denominator= 8924 numerators:, 390425 denominator= 8986 numerators:, 561625 denominator= 9022 numerators:, 293215, 699205 denominator= 9037 numerators:, 322750 denominator= 9048 numerators:, 395850 denominator= 9066 numerators:, 22665, 158655, 294645, 430635, 566625, 702615, 838605 denominator= 9084 numerators:, 397425 denominator= 9146 numerators:, 571625 denominator= 9177 numerators:, 32775, 150765, 209760, 268755, 327750, 386745, 445740, 563730, 622725, 681720, 740715, 799710, 858705 denominator= 9208 numerators:, 143875, 402850, 661825 denominator= 9226 numerators:, 576625 denominator= 9244 numerators:, 196435, 300430, 404425, 612415, 716410, 820405 denominator= 9288 numerators:, 301860, 719820 denominator= 9305 numerators:, 59552, 126548, 193544, 327536, 394532, 461528, 528524, 662516, 729512, 796508, 863504 denominator= 9306 numerators:, 581625 denominator= 9317 numerators:, 332750 denominator= 9368 numerators:, 409850 denominator= 9386 numerators:, 586625 denominator= 9404 numerators:, 411425 denominator= 9422 numerators:, 306215, 730205 denominator= 9457 numerators:, 33775, 337750, 641725 denominator= 9466 numerators:, 23665, 165655, 307645, 449635, 591625, 733615, 875605 denominator= 9527 numerators:, 21776, 70772, 119768, 168764, 217760, 315752, 364748, 413744, 462740, 511736, 560732, 658724, 707720, 756716, 805712, 854708, 903704 denominator= 9528 numerators:, 148875, 416850, 684825 denominator= 9546 numerators:, 596625 denominator= 9564 numerators:, 418425 denominator= 9597 numerators:, 342750 denominator= 9626 numerators:, 601625 denominator= 9644 numerators:, 313430, 747410 denominator= 9688 numerators:, 205870, 314860, 423850, 641830, 750820, 859810 denominator= 9706 numerators:, 606625 denominator= 9724 numerators:, 425425 denominator= 9737 numerators:, 34775, 347750, 660725 denominator= 9786 numerators:, 611625 denominator= 9822 numerators:, 319215, 761205 denominator= 9848 numerators:, 153875, 430850, 707825 denominator= 9866 numerators:, 24665, 172655, 320645, 468635, 616625, 764615, 912605 denominator= 9877 numerators:, 225760, 352750, 479740, 606730, 733720, 860710 denominator= 9884 numerators:, 432425 denominator= 9946 numerators:, 621625 ------------------------------------------------------------------------- Section 4 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 3, -th digit of the numerator is cancelled out with the, 0, -th digit of the denominator denominator= 1048 numerators:, 458500 denominator= 1057 numerators:, 37750, 207625, 377500, 547375, 717250, 887125 denominator= 1066 numerators:, 66625, 146575, 226525, 306475, 386425, 466375, 546325, 626275, 706225, 786175, 866125, 946075, 1026025 denominator= 1084 numerators:, 474250 denominator= 1102 numerators:, 482125 denominator= 1127 numerators:, 257600, 547400, 837200 denominator= 1197 numerators:, 427500 denominator= 1208 numerators:, 18875, 188750, 358625, 528500, 698375, 868250, 1038125 denominator= 1226 numerators:, 76625, 536375, 996125 denominator= 1244 numerators:, 54425, 194375, 264350, 334325, 474275, 544250, 614225, 754175, 824150, 894125, 1034075, 1104050, 1174025 denominator= 1262 numerators:, 552125 denominator= 1337 numerators:, 47750, 477500, 907250 denominator= 1368 numerators:, 598500 denominator= 1386 numerators:, 86625, 606375, 1126125 denominator= 1404 numerators:, 614250 denominator= 1422 numerators:, 302175, 622125, 942075, 1262025 denominator= 1477 numerators:, 337600, 527500, 717400, 907300, 1097200, 1287100 denominator= 1528 numerators:, 238750, 668500, 1098250 denominator= 1546 numerators:, 96625, 676375, 1256125 denominator= 1564 numerators:, 244375, 684250, 1124125 denominator= 1582 numerators:, 692125 denominator= 1617 numerators:, 57750, 317625, 577500, 837375, 1097250, 1357125 denominator= 1688 numerators:, 358700, 738500, 1118300, 1498100 denominator= 1706 numerators:, 106625, 746375, 1386125 denominator= 1724 numerators:, 754250 denominator= 1742 numerators:, 762125 denominator= 1757 numerators:, 627500 denominator= 1827 numerators:, 417600, 887400, 1357200 denominator= 1848 numerators:, 28875, 288750, 548625, 808500, 1068375, 1328250, 1588125 denominator= 1866 numerators:, 116625, 256575, 396525, 536475, 676425, 816375, 956325, 1096275, 1236225, 1376175, 1516125, 1656075, 1796025 denominator= 1884 numerators:, 294375, 824250, 1354125 denominator= 1897 numerators:, 67750, 677500, 1287250 denominator= 1902 numerators:, 832125 denominator= 2008 numerators:, 878500 denominator= 2026 numerators:, 126625, 886375, 1646125 denominator= 2037 numerators:, 727500 denominator= 2044 numerators:, 434350, 894250, 1354150, 1814050 denominator= 2062 numerators:, 902125 denominator= 2168 numerators:, 338750, 948500, 1558250 denominator= 2177 numerators:, 7775, 77750, 147725, 287675, 357650, 427625, 497600, 567575, 637550, 777500, 847475, 917450, 987425, 1057400, 1127375, 1267325, 1337300, 1407275, 1477250, 1547225, 1617200, 1757150, 1827125, 1897100, 1967075, 2037050, 2107025 denominator= 2186 numerators:, 136625, 956375, 1776125 denominator= 2204 numerators:, 344375, 964250, 1584125 denominator= 2317 numerators:, 827500 denominator= 2328 numerators:, 1018500 denominator= 2346 numerators:, 146625, 1026375, 1906125 denominator= 2364 numerators:, 1034250 denominator= 2382 numerators:, 1042125 denominator= 2457 numerators:, 87750, 877500, 1667250 denominator= 2488 numerators:, 38875, 108850, 178825, 318775, 388750, 458725, 528700, 598675, 668650, 738625, 878575, 948550, 1018525, 1088500, 1158475, 1228450, 1298425, 1438375, 1508350, 1578325, 1648300, 1718275, 1788250, 1858225, 1998175, 2068150, 2138125, 2208100, 2278075, 2348050, 2418025 denominator= 2506 numerators:, 156625, 1096375, 2036125 denominator= 2524 numerators:, 394375, 1104250, 1814125 denominator= 2527 numerators:, 57760, 187720, 317680, 447640, 577600, 837520, 967480, 1097440, 1227400, 1357360, 1487320, 1747240, 1877200, 2007160, 2137120, 2267080, 2397040 denominator= 2542 numerators:, 1112125 denominator= 2597 numerators:, 927500 denominator= 2648 numerators:, 1158500 denominator= 2666 numerators:, 6665, 46655, 86645, 126635, 166625, 206615, 246605, 286595, 326585, 366575, 406565, 446555, 486545, 526535, 566525, 606515, 646505, 686495, 726485, 766475, 806465, 846455, 886445, 926435, 966425, 1006415, 1046405, 1086395, 1126385, 1166375, 1206365, 1246355, 1286345, 1326335, 1366325, 1406315, 1446305, 1486295, 1526285, 1566275, 1606265, 1646255, 1686245, 1726235, 1766225, 1806215, 1846205, 1886195, 1926185, 1966175, 2006165, 2046155, 2086145, 2126135, 2166125, 2206115, 2246105, 2286095, 2326085, 2366075, 2406065, 2446055, 2486045, 2526035, 2566025, 2606015, 2646005 denominator= 2684 numerators:, 1174250 denominator= 2702 numerators:, 1182125 denominator= 2737 numerators:, 97750, 537625, 977500, 1417375, 1857250, 2297125 denominator= 2808 numerators:, 438750, 1228500, 2018250 denominator= 2826 numerators:, 176625, 1236375, 2296125 denominator= 2844 numerators:, 124425, 444375, 604350, 764325, 1084275, 1244250, 1404225, 1724175, 1884150, 2044125, 2364075, 2524050, 2684025 denominator= 2862 numerators:, 1252125 denominator= 2877 numerators:, 657600, 1027500, 1397400, 1767300, 2137200, 2507100 denominator= 2968 numerators:, 1298500 denominator= 2986 numerators:, 186625, 1306375, 2426125 denominator= 3004 numerators:, 1314250 denominator= 3017 numerators:, 107750, 1077500, 2047250 denominator= 3022 numerators:, 642175, 1322125, 2002075, 2682025 denominator= 3128 numerators:, 48875, 488750, 928625, 1368500, 1808375, 2248250, 2688125 denominator= 3146 numerators:, 196625, 1376375, 2556125 denominator= 3157 numerators:, 1127500 denominator= 3164 numerators:, 494375, 1384250, 2274125 denominator= 3182 numerators:, 1392125 denominator= 3227 numerators:, 737600, 1567400, 2397200 denominator= 3288 numerators:, 698700, 1438500, 2178300, 2918100 denominator= 3297 numerators:, 117750, 647625, 1177500, 1707375, 2237250, 2767125 denominator= 3306 numerators:, 206625, 1446375, 2686125 denominator= 3324 numerators:, 1454250 denominator= 3342 numerators:, 1462125 denominator= 3437 numerators:, 1227500 denominator= 3448 numerators:, 538750, 1508500, 2478250 denominator= 3466 numerators:, 216625, 476575, 736525, 996475, 1256425, 1516375, 1776325, 2036275, 2296225, 2556175, 2816125, 3076075, 3336025 denominator= 3484 numerators:, 544375, 1524250, 2504125 denominator= 3502 numerators:, 1532125 denominator= 3577 numerators:, 127750, 587650, 817600, 1047550, 1277500, 1507450, 1737400, 2197300, 2427250, 2657200, 2887150, 3117100, 3347050 denominator= 3608 numerators:, 1578500 denominator= 3626 numerators:, 226625, 1586375, 2946125 denominator= 3644 numerators:, 774350, 1594250, 2414150, 3234050 denominator= 3662 numerators:, 1602125 denominator= 3717 numerators:, 1327500 denominator= 3768 numerators:, 58875, 588750, 1118625, 1648500, 2178375, 2708250, 3238125 denominator= 3786 numerators:, 236625, 1656375, 3076125 denominator= 3804 numerators:, 594375, 1664250, 2734125 denominator= 3822 numerators:, 812175, 1672125, 2532075, 3392025 denominator= 3857 numerators:, 137750, 757625, 1377500, 1997375, 2617250, 3237125 denominator= 3927 numerators:, 897600, 1907400, 2917200 denominator= 3928 numerators:, 1718500 denominator= 3946 numerators:, 246625, 1726375, 3206125 denominator= 3964 numerators:, 1734250 denominator= 3982 numerators:, 1742125 denominator= 3997 numerators:, 1427500 denominator= 4088 numerators:, 178850, 638750, 868700, 1098650, 1558550, 1788500, 2018450, 2478350, 2708300, 2938250, 3398150, 3628100, 3858050 denominator= 4106 numerators:, 256625, 1796375, 3336125 denominator= 4124 numerators:, 644375, 1804250, 2964125 denominator= 4137 numerators:, 147750, 1477500, 2807250 denominator= 4142 numerators:, 1812125 denominator= 4248 numerators:, 1858500 denominator= 4266 numerators:, 266625, 586575, 906525, 1226475, 1546425, 1866375, 2186325, 2506275, 2826225, 3146175, 3466125, 3786075, 4106025 denominator= 4277 numerators:, 97760, 207740, 317720, 537680, 647660, 757640, 867620, 977600, 1087580, 1307540, 1417520, 1527500, 1637480, 1747460, 1857440, 2077400, 2187380, 2297360, 2407340, 2517320, 2627300, 2847260, 2957240, 3067220, 3177200, 3287180, 3397160, 3617120, 3727100, 3837080, 3947060, 4057040, 4167020 denominator= 4284 numerators:, 1874250 denominator= 4302 numerators:, 1882125 denominator= 4408 numerators:, 68875, 688750, 1308625, 1928500, 2548375, 3168250, 3788125 denominator= 4417 numerators:, 157750, 867625, 1577500, 2287375, 2997250, 3707125 denominator= 4426 numerators:, 276625, 1936375, 3596125 denominator= 4462 numerators:, 1952125 denominator= 4557 numerators:, 1627500 denominator= 4568 numerators:, 1998500 denominator= 4586 numerators:, 286625, 2006375, 3726125 denominator= 4604 numerators:, 2014250 denominator= 4622 numerators:, 982175, 2022125, 3062075, 4102025 denominator= 4627 numerators:, 1057600, 2247400, 3437200 denominator= 4697 numerators:, 167750, 1677500, 3187250 denominator= 4728 numerators:, 738750, 2068500, 3398250 denominator= 4746 numerators:, 296625, 2076375, 3856125 denominator= 4764 numerators:, 744375, 2084250, 3424125 denominator= 4782 numerators:, 2092125 denominator= 4837 numerators:, 1727500 denominator= 4888 numerators:, 158860, 378820, 598780, 818740, 1038700, 1258660, 1478620, 1698580, 1918540, 2138500, 2358460, 2578420, 2798380, 3018340, 3238300, 3458260, 3678220, 3898180, 4118140, 4338100, 4558060, 4778020 denominator= 4906 numerators:, 306625, 2146375, 3986125 denominator= 4924 numerators:, 2154250 denominator= 4942 numerators:, 2162125 denominator= 4977 numerators:, 17775, 177750, 337725, 657675, 817650, 977625, 1137600, 1297575, 1457550, 1777500, 1937475, 2097450, 2257425, 2417400, 2577375, 2897325, 3057300, 3217275, 3377250, 3537225, 3697200, 4017150, 4177125, 4337100, 4497075, 4657050, 4817025 denominator= 5048 numerators:, 78875, 788750, 1498625, 2208500, 2918375, 3628250, 4338125 denominator= 5066 numerators:, 316625, 696575, 1076525, 1456475, 1836425, 2216375, 2596325, 2976275, 3356225, 3736175, 4116125, 4496075, 4876025 denominator= 5084 numerators:, 794375, 2224250, 3654125 denominator= 5102 numerators:, 2232125 denominator= 5117 numerators:, 1827500 denominator= 5208 numerators:, 2278500 denominator= 5226 numerators:, 326625, 2286375, 4246125 denominator= 5244 numerators:, 1114350, 2294250, 3474150, 4654050 denominator= 5257 numerators:, 187750, 1877500, 3567250 denominator= 5262 numerators:, 2302125 denominator= 5327 numerators:, 1217600, 2587400, 3957200 denominator= 5368 numerators:, 838750, 2348500, 3858250 denominator= 5386 numerators:, 336625, 2356375, 4376125 denominator= 5397 numerators:, 1927500 denominator= 5404 numerators:, 844375, 2364250, 3884125 denominator= 5422 numerators:, 1152175, 2372125, 3592075, 4812025 denominator= 5528 numerators:, 2418500 denominator= 5537 numerators:, 197750, 1087625, 1977500, 2867375, 3757250, 4647125 denominator= 5546 numerators:, 346625, 2426375, 4506125 denominator= 5564 numerators:, 2434250 denominator= 5582 numerators:, 2442125 denominator= 5677 numerators:, 1297600, 2027500, 2757400, 3487300, 4217200, 4947100 denominator= 5688 numerators:, 88875, 248850, 408825, 728775, 888750, 1048725, 1208700, 1368675, 1528650, 1688625, 2008575, 2168550, 2328525, 2488500, 2648475, 2808450, 2968425, 3288375, 3448350, 3608325, 3768300, 3928275, 4088250, 4248225, 4568175, 4728150, 4888125, 5048100, 5208075, 5368050, 5528025 denominator= 5706 numerators:, 356625, 2496375, 4636125 denominator= 5724 numerators:, 894375, 2504250, 4114125 denominator= 5742 numerators:, 2512125 denominator= 5817 numerators:, 207750, 2077500, 3947250 denominator= 5848 numerators:, 2558500 denominator= 5866 numerators:, 366625, 806575, 1246525, 1686475, 2126425, 2566375, 3006325, 3446275, 3886225, 4326175, 4766125, 5206075, 5646025 denominator= 5884 numerators:, 2574250 denominator= 5902 numerators:, 2582125 denominator= 5957 numerators:, 2127500 denominator= 6008 numerators:, 938750, 2628500, 4318250 denominator= 6026 numerators:, 376625, 2636375, 4896125 denominator= 6027 numerators:, 137760, 447720, 757680, 1067640, 1377600, 1997520, 2307480, 2617440, 2927400, 3237360, 3547320, 4167240, 4477200, 4787160, 5097120, 5407080, 5717040 denominator= 6044 numerators:, 264425, 944375, 1284350, 1624325, 2304275, 2644250, 2984225, 3664175, 4004150, 4344125, 5024075, 5364050, 5704025 denominator= 6062 numerators:, 2652125 denominator= 6097 numerators:, 217750, 1197625, 2177500, 3157375, 4137250, 5117125 denominator= 6168 numerators:, 2698500 denominator= 6186 numerators:, 386625, 2706375, 5026125 denominator= 6204 numerators:, 2714250 denominator= 6222 numerators:, 202215, 482205, 762195, 1042185, 1322175, 1602165, 1882155, 2162145, 2442135, 2722125, 3002115, 3282105, 3562095, 3842085, 4122075, 4402065, 4682055, 4962045, 5242035, 5522025, 5802015, 6082005 denominator= 6237 numerators:, 2227500 denominator= 6328 numerators:, 98875, 988750, 1878625, 2768500, 3658375, 4548250, 5438125 denominator= 6346 numerators:, 396625, 2776375, 5156125 denominator= 6364 numerators:, 994375, 2784250, 4574125 denominator= 6377 numerators:, 227750, 1047650, 1457600, 1867550, 2277500, 2687450, 3097400, 3917300, 4327250, 4737200, 5147150, 5557100, 5967050 denominator= 6382 numerators:, 2792125 denominator= 6488 numerators:, 1378700, 2838500, 4298300, 5758100 denominator= 6506 numerators:, 406625, 2846375, 5286125 denominator= 6517 numerators:, 2327500 denominator= 6524 numerators:, 2854250 denominator= 6542 numerators:, 2862125 denominator= 6648 numerators:, 1038750, 2908500, 4778250 denominator= 6657 numerators:, 237750, 1307625, 2377500, 3447375, 4517250, 5587125 denominator= 6684 numerators:, 1044375, 2924250, 4804125 denominator= 6702 numerators:, 2932125 denominator= 6727 numerators:, 1537600, 3267400, 4997200 denominator= 6797 numerators:, 2427500 denominator= 6808 numerators:, 2978500 denominator= 6826 numerators:, 426625, 2986375, 5546125 denominator= 6844 numerators:, 1454350, 2994250, 4534150, 6074050 denominator= 6862 numerators:, 3002125 denominator= 6937 numerators:, 247750, 2477500, 4707250 denominator= 6968 numerators:, 108875, 1088750, 2068625, 3048500, 4028375, 5008250, 5988125 denominator= 6986 numerators:, 436625, 3056375, 5676125 denominator= 7004 numerators:, 1094375, 3064250, 5034125 denominator= 7022 numerators:, 1492175, 3072125, 4652075, 6232025 denominator= 7077 numerators:, 1617600, 2527500, 3437400, 4347300, 5257200, 6167100 denominator= 7128 numerators:, 3118500 denominator= 7146 numerators:, 446625, 3126375, 5806125 denominator= 7164 numerators:, 3134250 denominator= 7182 numerators:, 3142125 denominator= 7217 numerators:, 257750, 1417625, 2577500, 3737375, 4897250, 6057125 denominator= 7288 numerators:, 318850, 1138750, 1548700, 1958650, 2778550, 3188500, 3598450, 4418350, 4828300, 5238250, 6058150, 6468100, 6878050 denominator= 7306 numerators:, 456625, 3196375, 5936125 denominator= 7324 numerators:, 1144375, 3204250, 5264125 denominator= 7342 numerators:, 3212125 denominator= 7357 numerators:, 2627500 denominator= 7427 numerators:, 1697600, 3607400, 5517200 denominator= 7448 numerators:, 3258500 denominator= 7466 numerators:, 466625, 1026575, 1586525, 2146475, 2706425, 3266375, 3826325, 4386275, 4946225, 5506175, 6066125, 6626075, 7186025 denominator= 7484 numerators:, 3274250 denominator= 7497 numerators:, 267750, 2677500, 5087250 denominator= 7502 numerators:, 3282125 denominator= 7608 numerators:, 118875, 1188750, 2258625, 3328500, 4398375, 5468250, 6538125 denominator= 7626 numerators:, 476625, 3336375, 6196125 denominator= 7637 numerators:, 2727500 denominator= 7644 numerators:, 334425, 1194375, 1624350, 2054325, 2914275, 3344250, 3774225, 4634175, 5064150, 5494125, 6354075, 6784050, 7214025 denominator= 7662 numerators:, 3352125 denominator= 7768 numerators:, 3398500 denominator= 7786 numerators:, 486625, 3406375, 6326125 denominator= 7804 numerators:, 3414250 denominator= 7822 numerators:, 1662175, 3422125, 5182075, 6942025 denominator= 7917 numerators:, 2827500 denominator= 7928 numerators:, 1238750, 3468500, 5698250 denominator= 7946 numerators:, 496625, 3476375, 6456125 denominator= 7964 numerators:, 1244375, 3484250, 5724125 denominator= 7982 numerators:, 3492125 denominator= 8057 numerators:, 287750, 2877500, 5467250 denominator= 8088 numerators:, 1718700, 3538500, 5358300, 7178100 denominator= 8106 numerators:, 506625, 3546375, 6586125 denominator= 8124 numerators:, 3554250 denominator= 8127 numerators:, 1857600, 3947400, 6037200 denominator= 8142 numerators:, 3562125 denominator= 8197 numerators:, 2927500 denominator= 8248 numerators:, 128875, 1288750, 2448625, 3608500, 4768375, 5928250, 7088125 denominator= 8266 numerators:, 516625, 1136575, 1756525, 2376475, 2996425, 3616375, 4236325, 4856275, 5476225, 6096175, 6716125, 7336075, 7956025 denominator= 8284 numerators:, 1294375, 3624250, 5954125 denominator= 8302 numerators:, 3632125 denominator= 8337 numerators:, 297750, 1637625, 2977500, 4317375, 5657250, 6997125 denominator= 8408 numerators:, 3678500 denominator= 8426 numerators:, 526625, 3686375, 6846125 denominator= 8444 numerators:, 274430, 654410, 1034390, 1414370, 1794350, 2174330, 2554310, 2934290, 3314270, 3694250, 4074230, 4454210, 4834190, 5214170, 5594150, 5974130, 6354110, 6734090, 7114070, 7494050, 7874030, 8254010 denominator= 8462 numerators:, 3702125 denominator= 8477 numerators:, 1937600, 3027500, 4117400, 5207300, 6297200, 7387100 denominator= 8568 numerators:, 1338750, 3748500, 6158250 denominator= 8586 numerators:, 536625, 3756375, 6976125 denominator= 8604 numerators:, 1344375, 3764250, 6184125 denominator= 8617 numerators:, 307750, 3077500, 5847250 denominator= 8622 numerators:, 1832175, 3772125, 5712075, 7652025 denominator= 8728 numerators:, 3818500 denominator= 8746 numerators:, 546625, 3826375, 7106125 denominator= 8757 numerators:, 3127500 denominator= 8764 numerators:, 3834250 denominator= 8782 numerators:, 3842125 denominator= 8827 numerators:, 2017600, 4287400, 6557200 denominator= 8897 numerators:, 317750, 1747625, 3177500, 4607375, 6037250, 7467125 denominator= 8906 numerators:, 556625, 3896375, 7236125 denominator= 8924 numerators:, 1394375, 3904250, 6414125 denominator= 8942 numerators:, 3912125 denominator= 9037 numerators:, 3227500 denominator= 9048 numerators:, 3958500 denominator= 9066 numerators:, 566625, 1246575, 1926525, 2606475, 3286425, 3966375, 4646325, 5326275, 6006225, 6686175, 7366125, 8046075, 8726025 denominator= 9084 numerators:, 3974250 denominator= 9102 numerators:, 3982125 denominator= 9177 numerators:, 327750, 1507650, 2097600, 2687550, 3277500, 3867450, 4457400, 5637300, 6227250, 6817200, 7407150, 7997100, 8587050 denominator= 9208 numerators:, 1438750, 4028500, 6618250 denominator= 9226 numerators:, 576625, 4036375, 7496125 denominator= 9244 numerators:, 404425, 1444375, 1964350, 2484325, 3524275, 4044250, 4564225, 5604175, 6124150, 6644125, 7684075, 8204050, 8724025 denominator= 9262 numerators:, 4052125 denominator= 9317 numerators:, 3327500 denominator= 9368 numerators:, 4098500 denominator= 9386 numerators:, 586625, 4106375, 7626125 denominator= 9404 numerators:, 4114250 denominator= 9422 numerators:, 2002175, 4122125, 6242075, 8362025 denominator= 9457 numerators:, 337750, 1857625, 3377500, 4897375, 6417250, 7937125 denominator= 9527 numerators:, 217760, 707720, 1197680, 1687640, 2177600, 3157520, 3647480, 4137440, 4627400, 5117360, 5607320, 6587240, 7077200, 7567160, 8057120, 8547080, 9037040 denominator= 9528 numerators:, 148875, 1488750, 2828625, 4168500, 5508375, 6848250, 8188125 denominator= 9546 numerators:, 596625, 4176375, 7756125 denominator= 9564 numerators:, 1494375, 4184250, 6874125 denominator= 9582 numerators:, 4192125 denominator= 9597 numerators:, 3427500 denominator= 9688 numerators:, 2058700, 4238500, 6418300, 8598100 denominator= 9706 numerators:, 606625, 4246375, 7886125 denominator= 9724 numerators:, 4254250 denominator= 9737 numerators:, 347750, 3477500, 6607250 denominator= 9742 numerators:, 4262125 denominator= 9848 numerators:, 1538750, 4308500, 7078250 denominator= 9866 numerators:, 616625, 1356575, 2096525, 2836475, 3576425, 4316375, 5056325, 5796275, 6536225, 7276175, 8016125, 8756075, 9496025 denominator= 9877 numerators:, 2257600, 3527500, 4797400, 6067300, 7337200, 8607100 denominator= 9884 numerators:, 1544375, 4324250, 7104125 denominator= 9902 numerators:, 4332125 ------------------------------------------------------------------------- Section 5 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 1010 numerators:, 101 denominator= 1020 numerators:, 102 denominator= 1030 numerators:, 103 denominator= 1040 numerators:, 104 denominator= 1050 numerators:, 105 denominator= 1060 numerators:, 106 denominator= 1064 numerators:, 266 denominator= 1065 numerators:, 426 denominator= 1070 numerators:, 107 denominator= 1080 numerators:, 108 denominator= 1085 numerators:, 248 denominator= 1090 numerators:, 109 denominator= 1095 numerators:, 219 denominator= 1098 numerators:, 549 denominator= 1110 numerators:, 111 denominator= 1120 numerators:, 112 denominator= 1130 numerators:, 113 denominator= 1132 numerators:, 283 denominator= 1140 numerators:, 114 denominator= 1150 numerators:, 115 denominator= 1160 numerators:, 116 denominator= 1162 numerators:, 166 denominator= 1165 numerators:, 466 denominator= 1170 numerators:, 117 denominator= 1180 numerators:, 118 denominator= 1190 numerators:, 119 denominator= 1192 numerators:, 149 denominator= 1194 numerators:, 199 denominator= 1195 numerators:, 239 denominator= 1196 numerators:, 299 denominator= 1197 numerators:, 399 denominator= 1198 numerators:, 599 denominator= 1210 numerators:, 121 denominator= 1220 numerators:, 122 denominator= 1221 numerators:, 222 denominator= 1230 numerators:, 123 denominator= 1240 numerators:, 124 denominator= 1250 numerators:, 125 denominator= 1260 numerators:, 126 denominator= 1264 numerators:, 316 denominator= 1265 numerators:, 506 denominator= 1270 numerators:, 127 denominator= 1275 numerators:, 357 denominator= 1280 numerators:, 128 denominator= 1290 numerators:, 129 denominator= 1295 numerators:, 259 denominator= 1298 numerators:, 649 denominator= 1310 numerators:, 131 denominator= 1320 numerators:, 132 denominator= 1330 numerators:, 133 denominator= 1332 numerators:, 333 denominator= 1340 numerators:, 134 denominator= 1342 numerators:, 244 denominator= 1350 numerators:, 135 denominator= 1360 numerators:, 136 denominator= 1365 numerators:, 546 denominator= 1370 numerators:, 137 denominator= 1380 numerators:, 138 denominator= 1390 numerators:, 139 denominator= 1393 numerators:, 199 denominator= 1395 numerators:, 279 denominator= 1396 numerators:, 349 denominator= 1398 numerators:, 699 denominator= 1410 numerators:, 141 denominator= 1420 numerators:, 142 denominator= 1430 numerators:, 143 denominator= 1440 numerators:, 144 denominator= 1443 numerators:, 444 denominator= 1450 numerators:, 145 denominator= 1460 numerators:, 146 denominator= 1463 numerators:, 266 denominator= 1464 numerators:, 366 denominator= 1465 numerators:, 586 denominator= 1470 numerators:, 147 denominator= 1480 numerators:, 148 denominator= 1490 numerators:, 149 denominator= 1494 numerators:, 249 denominator= 1495 numerators:, 299 denominator= 1497 numerators:, 499 denominator= 1498 numerators:, 749 denominator= 1510 numerators:, 151 denominator= 1520 numerators:, 152 denominator= 1530 numerators:, 153 denominator= 1532 numerators:, 383 denominator= 1540 numerators:, 154 denominator= 1550 numerators:, 155 denominator= 1554 numerators:, 555 denominator= 1560 numerators:, 156 denominator= 1565 numerators:, 626 denominator= 1570 numerators:, 157 denominator= 1580 numerators:, 158 denominator= 1584 numerators:, 288 denominator= 1586 numerators:, 488 denominator= 1590 numerators:, 159 denominator= 1592 numerators:, 199 denominator= 1595 numerators:, 319 denominator= 1596 numerators:, 399 denominator= 1598 numerators:, 799 denominator= 1610 numerators:, 161 denominator= 1620 numerators:, 162 denominator= 1630 numerators:, 163 denominator= 1631 numerators:, 233 denominator= 1640 numerators:, 164 denominator= 1650 numerators:, 165 denominator= 1660 numerators:, 166 denominator= 1664 numerators:, 416 denominator= 1665 numerators:, 666 denominator= 1670 numerators:, 167 denominator= 1680 numerators:, 168 denominator= 1690 numerators:, 169 denominator= 1695 numerators:, 339 denominator= 1698 numerators:, 849 denominator= 1710 numerators:, 171 denominator= 1720 numerators:, 172 denominator= 1730 numerators:, 173 denominator= 1732 numerators:, 433 denominator= 1740 numerators:, 174 denominator= 1750 numerators:, 175 denominator= 1760 numerators:, 176 denominator= 1765 numerators:, 706 denominator= 1770 numerators:, 177 denominator= 1775 numerators:, 497 denominator= 1776 numerators:, 777 denominator= 1780 numerators:, 178 denominator= 1785 numerators:, 408 denominator= 1790 numerators:, 179 denominator= 1791 numerators:, 199 denominator= 1794 numerators:, 299 denominator= 1795 numerators:, 359 denominator= 1796 numerators:, 449 denominator= 1797 numerators:, 599 denominator= 1798 numerators:, 899 denominator= 1810 numerators:, 181 denominator= 1820 numerators:, 182 denominator= 1830 numerators:, 183 denominator= 1840 numerators:, 184 denominator= 1850 numerators:, 185 denominator= 1860 numerators:, 186 denominator= 1862 numerators:, 266 denominator= 1864 numerators:, 466 denominator= 1865 numerators:, 746 denominator= 1870 numerators:, 187 denominator= 1880 numerators:, 188 denominator= 1887 numerators:, 888 denominator= 1890 numerators:, 189 denominator= 1895 numerators:, 379 denominator= 1898 numerators:, 949 denominator= 1910 numerators:, 191 denominator= 1920 numerators:, 192 denominator= 1930 numerators:, 193 denominator= 1932 numerators:, 483 denominator= 1940 numerators:, 194 denominator= 1950 numerators:, 195 denominator= 1952 numerators:, 305 denominator= 1960 numerators:, 196 denominator= 1965 numerators:, 786 denominator= 1970 numerators:, 197 denominator= 1980 numerators:, 198 denominator= 1990 numerators:, 199 denominator= 1992 numerators:, 249 denominator= 1995 numerators:, 399 denominator= 1996 numerators:, 499 denominator= 1998 numerators:, 999 denominator= 2010 numerators:, 201 denominator= 2020 numerators:, 202 denominator= 2030 numerators:, 203 denominator= 2040 numerators:, 204 denominator= 2050 numerators:, 205 denominator= 2060 numerators:, 206 denominator= 2064 numerators:, 516 denominator= 2065 numerators:, 826 denominator= 2070 numerators:, 207 denominator= 2074 numerators:, 427 denominator= 2080 numerators:, 208 denominator= 2090 numerators:, 209 denominator= 2093 numerators:, 299 denominator= 2094 numerators:, 349 denominator= 2095 numerators:, 419 denominator= 2097 numerators:, 699 denominator= 2098 numerators:, 1049 denominator= 2110 numerators:, 211 denominator= 2120 numerators:, 212 denominator= 2130 numerators:, 213 denominator= 2132 numerators:, 533 denominator= 2140 numerators:, 214 denominator= 2150 numerators:, 215 denominator= 2160 numerators:, 216 denominator= 2165 numerators:, 866 denominator= 2170 numerators:, 217 denominator= 2180 numerators:, 218 denominator= 2190 numerators:, 219 denominator= 2195 numerators:, 439 denominator= 2196 numerators:, 549 denominator= 2198 numerators:, 1099 denominator= 2210 numerators:, 221 denominator= 2220 numerators:, 222 denominator= 2230 numerators:, 223 denominator= 2240 numerators:, 224 denominator= 2250 numerators:, 225 denominator= 2254 numerators:, 805 denominator= 2260 numerators:, 226 denominator= 2261 numerators:, 266 denominator= 2264 numerators:, 566 denominator= 2265 numerators:, 906 denominator= 2270 numerators:, 227 denominator= 2275 numerators:, 637 denominator= 2280 numerators:, 228 denominator= 2290 numerators:, 229 denominator= 2295 numerators:, 459 denominator= 2298 numerators:, 1149 denominator= 2310 numerators:, 231 denominator= 2320 numerators:, 232 denominator= 2321 numerators:, 422 denominator= 2330 numerators:, 233 denominator= 2331 numerators:, 333 denominator= 2332 numerators:, 583 denominator= 2340 numerators:, 234 denominator= 2350 numerators:, 235 denominator= 2360 numerators:, 236 denominator= 2365 numerators:, 946 denominator= 2370 numerators:, 237 denominator= 2380 numerators:, 238 denominator= 2390 numerators:, 239 denominator= 2392 numerators:, 299 denominator= 2394 numerators:, 399 denominator= 2395 numerators:, 479 denominator= 2396 numerators:, 599 denominator= 2397 numerators:, 799 denominator= 2398 numerators:, 1199 denominator= 2410 numerators:, 241 denominator= 2420 numerators:, 242 denominator= 2430 numerators:, 243 denominator= 2440 numerators:, 244 denominator= 2442 numerators:, 444 denominator= 2450 numerators:, 245 denominator= 2460 numerators:, 246 denominator= 2464 numerators:, 616 denominator= 2465 numerators:, 986 denominator= 2470 numerators:, 247 denominator= 2480 numerators:, 248 denominator= 2485 numerators:, 568 denominator= 2490 numerators:, 249 denominator= 2495 numerators:, 499 denominator= 2498 numerators:, 1249 denominator= 2510 numerators:, 251 denominator= 2520 numerators:, 252 denominator= 2530 numerators:, 253 denominator= 2532 numerators:, 633 denominator= 2540 numerators:, 254 denominator= 2550 numerators:, 255 denominator= 2553 numerators:, 555 denominator= 2560 numerators:, 256 denominator= 2562 numerators:, 366 denominator= 2563 numerators:, 466 denominator= 2565 numerators:, 1026 denominator= 2570 numerators:, 257 denominator= 2576 numerators:, 1127 denominator= 2580 numerators:, 258 denominator= 2590 numerators:, 259 denominator= 2595 numerators:, 519 denominator= 2596 numerators:, 649 denominator= 2598 numerators:, 1299 denominator= 2610 numerators:, 261 denominator= 2620 numerators:, 262 denominator= 2630 numerators:, 263 denominator= 2640 numerators:, 264 denominator= 2650 numerators:, 265 denominator= 2660 numerators:, 266 denominator= 2664 numerators:, 666 denominator= 2665 numerators:, 1066 denominator= 2670 numerators:, 267 denominator= 2680 numerators:, 268 denominator= 2684 numerators:, 488 denominator= 2690 numerators:, 269 denominator= 2691 numerators:, 299 denominator= 2694 numerators:, 449 denominator= 2695 numerators:, 539 denominator= 2697 numerators:, 899 denominator= 2698 numerators:, 1349 denominator= 2710 numerators:, 271 denominator= 2720 numerators:, 272 denominator= 2730 numerators:, 273 denominator= 2732 numerators:, 683 denominator= 2740 numerators:, 274 denominator= 2743 numerators:, 844 denominator= 2750 numerators:, 275 denominator= 2760 numerators:, 276 denominator= 2765 numerators:, 1106 denominator= 2770 numerators:, 277 denominator= 2775 numerators:, 777 denominator= 2780 numerators:, 278 denominator= 2790 numerators:, 279 denominator= 2792 numerators:, 349 denominator= 2793 numerators:, 399 denominator= 2795 numerators:, 559 denominator= 2796 numerators:, 699 denominator= 2798 numerators:, 1399 denominator= 2810 numerators:, 281 denominator= 2820 numerators:, 282 denominator= 2830 numerators:, 283 denominator= 2840 numerators:, 284 denominator= 2850 numerators:, 285 denominator= 2860 numerators:, 286 denominator= 2864 numerators:, 716 denominator= 2865 numerators:, 1146 denominator= 2870 numerators:, 287 denominator= 2880 numerators:, 288 denominator= 2886 numerators:, 888 denominator= 2890 numerators:, 289 denominator= 2895 numerators:, 579 denominator= 2898 numerators:, 1449 denominator= 2910 numerators:, 291 denominator= 2920 numerators:, 292 denominator= 2930 numerators:, 293 denominator= 2932 numerators:, 733 denominator= 2940 numerators:, 294 denominator= 2950 numerators:, 295 denominator= 2954 numerators:, 1055 denominator= 2960 numerators:, 296 denominator= 2965 numerators:, 1186 denominator= 2970 numerators:, 297 denominator= 2980 numerators:, 298 denominator= 2990 numerators:, 299 denominator= 2994 numerators:, 499 denominator= 2995 numerators:, 599 denominator= 2996 numerators:, 749 denominator= 2997 numerators:, 999 denominator= 2998 numerators:, 1499 denominator= 3010 numerators:, 301 denominator= 3020 numerators:, 302 denominator= 3030 numerators:, 303 denominator= 3031 numerators:, 433 denominator= 3040 numerators:, 304 denominator= 3050 numerators:, 305 denominator= 3060 numerators:, 306 denominator= 3064 numerators:, 766 denominator= 3065 numerators:, 1226 denominator= 3070 numerators:, 307 denominator= 3080 numerators:, 308 denominator= 3090 numerators:, 309 denominator= 3095 numerators:, 619 denominator= 3098 numerators:, 1549 denominator= 3110 numerators:, 311 denominator= 3120 numerators:, 312 denominator= 3130 numerators:, 313 denominator= 3132 numerators:, 783 denominator= 3140 numerators:, 314 denominator= 3150 numerators:, 315 denominator= 3160 numerators:, 316 denominator= 3165 numerators:, 1266 denominator= 3170 numerators:, 317 denominator= 3172 numerators:, 427 denominator= 3180 numerators:, 318 denominator= 3185 numerators:, 728 denominator= 3190 numerators:, 319 denominator= 3192 numerators:, 399 denominator= 3195 numerators:, 639 denominator= 3196 numerators:, 799 denominator= 3198 numerators:, 1599 denominator= 3210 numerators:, 321 denominator= 3220 numerators:, 322 denominator= 3230 numerators:, 323 denominator= 3240 numerators:, 324 denominator= 3250 numerators:, 325 denominator= 3260 numerators:, 326 denominator= 3262 numerators:, 466 denominator= 3264 numerators:, 816 denominator= 3265 numerators:, 1306 denominator= 3270 numerators:, 327 denominator= 3275 numerators:, 917 denominator= 3280 numerators:, 328 denominator= 3290 numerators:, 329 denominator= 3294 numerators:, 549 denominator= 3295 numerators:, 659 denominator= 3297 numerators:, 1099 denominator= 3298 numerators:, 1649 denominator= 3310 numerators:, 331 denominator= 3320 numerators:, 332 denominator= 3330 numerators:, 333 denominator= 3332 numerators:, 833 denominator= 3340 numerators:, 334 denominator= 3350 numerators:, 335 denominator= 3360 numerators:, 336 denominator= 3365 numerators:, 1346 denominator= 3370 numerators:, 337 denominator= 3376 numerators:, 1477 denominator= 3380 numerators:, 338 denominator= 3390 numerators:, 339 denominator= 3395 numerators:, 679 denominator= 3396 numerators:, 849 denominator= 3398 numerators:, 1699 denominator= 3410 numerators:, 341 denominator= 3420 numerators:, 342 denominator= 3421 numerators:, 622 denominator= 3430 numerators:, 343 denominator= 3440 numerators:, 344 denominator= 3441 numerators:, 444 denominator= 3450 numerators:, 345 denominator= 3460 numerators:, 346 denominator= 3464 numerators:, 866 denominator= 3465 numerators:, 1386 denominator= 3470 numerators:, 347 denominator= 3480 numerators:, 348 denominator= 3490 numerators:, 349 denominator= 3493 numerators:, 499 denominator= 3495 numerators:, 699 denominator= 3498 numerators:, 1749 denominator= 3510 numerators:, 351 denominator= 3520 numerators:, 352 denominator= 3530 numerators:, 353 denominator= 3532 numerators:, 883 denominator= 3540 numerators:, 354 denominator= 3542 numerators:, 644 denominator= 3550 numerators:, 355 denominator= 3552 numerators:, 555 denominator= 3560 numerators:, 356 denominator= 3565 numerators:, 1426 denominator= 3570 numerators:, 357 denominator= 3580 numerators:, 358 denominator= 3587 numerators:, 1688 denominator= 3590 numerators:, 359 denominator= 3591 numerators:, 399 denominator= 3592 numerators:, 449 denominator= 3594 numerators:, 599 denominator= 3595 numerators:, 719 denominator= 3596 numerators:, 899 denominator= 3597 numerators:, 1199 denominator= 3598 numerators:, 1799 denominator= 3610 numerators:, 361 denominator= 3620 numerators:, 362 denominator= 3630 numerators:, 363 denominator= 3640 numerators:, 364 denominator= 3650 numerators:, 365 denominator= 3654 numerators:, 1305 denominator= 3660 numerators:, 366 denominator= 3663 numerators:, 666 denominator= 3664 numerators:, 916 denominator= 3665 numerators:, 1466 denominator= 3670 numerators:, 367 denominator= 3680 numerators:, 368 denominator= 3690 numerators:, 369 denominator= 3695 numerators:, 739 denominator= 3698 numerators:, 1849 denominator= 3710 numerators:, 371 denominator= 3720 numerators:, 372 denominator= 3730 numerators:, 373 denominator= 3731 numerators:, 533 denominator= 3732 numerators:, 933 denominator= 3740 numerators:, 374 denominator= 3750 numerators:, 375 denominator= 3760 numerators:, 376 denominator= 3765 numerators:, 1506 denominator= 3770 numerators:, 377 denominator= 3774 numerators:, 777 denominator= 3775 numerators:, 1057 denominator= 3780 numerators:, 378 denominator= 3782 numerators:, 488 denominator= 3784 numerators:, 688 denominator= 3790 numerators:, 379 denominator= 3795 numerators:, 759 denominator= 3796 numerators:, 949 denominator= 3798 numerators:, 1899 denominator= 3810 numerators:, 381 denominator= 3820 numerators:, 382 denominator= 3830 numerators:, 383 denominator= 3840 numerators:, 384 denominator= 3850 numerators:, 385 denominator= 3860 numerators:, 386 denominator= 3864 numerators:, 966 denominator= 3865 numerators:, 1546 denominator= 3870 numerators:, 387 denominator= 3880 numerators:, 388 denominator= 3885 numerators:, 888 denominator= 3890 numerators:, 389 denominator= 3894 numerators:, 649 denominator= 3895 numerators:, 779 denominator= 3897 numerators:, 1299 denominator= 3898 numerators:, 1949 denominator= 3910 numerators:, 391 denominator= 3920 numerators:, 392 denominator= 3930 numerators:, 393 denominator= 3932 numerators:, 983 denominator= 3940 numerators:, 394 denominator= 3950 numerators:, 395 denominator= 3960 numerators:, 396 denominator= 3961 numerators:, 466 denominator= 3962 numerators:, 566 denominator= 3965 numerators:, 1586 denominator= 3970 numerators:, 397 denominator= 3980 numerators:, 398 denominator= 3990 numerators:, 399 denominator= 3992 numerators:, 499 denominator= 3995 numerators:, 799 denominator= 3996 numerators:, 999 denominator= 3998 numerators:, 1999 denominator= 4010 numerators:, 401 denominator= 4020 numerators:, 402 denominator= 4030 numerators:, 403 denominator= 4040 numerators:, 404 denominator= 4043 numerators:, 1244 denominator= 4050 numerators:, 405 denominator= 4060 numerators:, 406 denominator= 4064 numerators:, 1016 denominator= 4065 numerators:, 1626 denominator= 4070 numerators:, 407 denominator= 4080 numerators:, 408 denominator= 4090 numerators:, 409 denominator= 4095 numerators:, 819 denominator= 4098 numerators:, 2049 denominator= 4110 numerators:, 411 denominator= 4120 numerators:, 412 denominator= 4130 numerators:, 413 denominator= 4132 numerators:, 1033 denominator= 4140 numerators:, 414 denominator= 4150 numerators:, 415 denominator= 4160 numerators:, 416 denominator= 4165 numerators:, 1666 denominator= 4170 numerators:, 417 denominator= 4176 numerators:, 1827 denominator= 4180 numerators:, 418 denominator= 4186 numerators:, 1288 denominator= 4190 numerators:, 419 denominator= 4193 numerators:, 599 denominator= 4194 numerators:, 699 denominator= 4195 numerators:, 839 denominator= 4196 numerators:, 1049 denominator= 4197 numerators:, 1399 denominator= 4198 numerators:, 2099 denominator= 4210 numerators:, 421 denominator= 4220 numerators:, 422 denominator= 4230 numerators:, 423 denominator= 4240 numerators:, 424 denominator= 4250 numerators:, 425 denominator= 4260 numerators:, 426 denominator= 4264 numerators:, 1066 denominator= 4265 numerators:, 1706 denominator= 4270 numerators:, 427 denominator= 4275 numerators:, 1197 denominator= 4280 numerators:, 428 denominator= 4290 numerators:, 429 denominator= 4295 numerators:, 859 denominator= 4298 numerators:, 2149 denominator= 4310 numerators:, 431 denominator= 4320 numerators:, 432 denominator= 4330 numerators:, 433 denominator= 4332 numerators:, 1083 denominator= 4340 numerators:, 434 denominator= 4350 numerators:, 435 denominator= 4354 numerators:, 1555 denominator= 4360 numerators:, 436 denominator= 4365 numerators:, 1746 denominator= 4370 numerators:, 437 denominator= 4380 numerators:, 438 denominator= 4390 numerators:, 439 denominator= 4392 numerators:, 549 denominator= 4395 numerators:, 879 denominator= 4396 numerators:, 1099 denominator= 4398 numerators:, 2199 denominator= 4410 numerators:, 441 denominator= 4420 numerators:, 442 denominator= 4430 numerators:, 443 denominator= 4431 numerators:, 633 denominator= 4440 numerators:, 444 denominator= 4450 numerators:, 445 denominator= 4460 numerators:, 446 denominator= 4464 numerators:, 1116 denominator= 4465 numerators:, 1786 denominator= 4470 numerators:, 447 denominator= 4480 numerators:, 448 denominator= 4490 numerators:, 449 denominator= 4491 numerators:, 499 denominator= 4494 numerators:, 749 denominator= 4495 numerators:, 899 denominator= 4497 numerators:, 1499 denominator= 4498 numerators:, 2249 denominator= 4510 numerators:, 451 denominator= 4520 numerators:, 452 denominator= 4521 numerators:, 822 denominator= 4530 numerators:, 453 denominator= 4532 numerators:, 1133 denominator= 4540 numerators:, 454 denominator= 4550 numerators:, 455 denominator= 4551 numerators:, 555 denominator= 4560 numerators:, 456 denominator= 4565 numerators:, 1826 denominator= 4570 numerators:, 457 denominator= 4580 numerators:, 458 denominator= 4585 numerators:, 1048 denominator= 4590 numerators:, 459 denominator= 4595 numerators:, 919 denominator= 4596 numerators:, 1149 denominator= 4598 numerators:, 2299 denominator= 4610 numerators:, 461 denominator= 4620 numerators:, 462 denominator= 4630 numerators:, 463 denominator= 4640 numerators:, 464 denominator= 4642 numerators:, 844 denominator= 4650 numerators:, 465 denominator= 4660 numerators:, 466 denominator= 4662 numerators:, 666 denominator= 4664 numerators:, 1166 denominator= 4665 numerators:, 1866 denominator= 4670 numerators:, 467 denominator= 4680 numerators:, 468 denominator= 4690 numerators:, 469 denominator= 4695 numerators:, 939 denominator= 4698 numerators:, 2349 denominator= 4710 numerators:, 471 denominator= 4720 numerators:, 472 denominator= 4730 numerators:, 473 denominator= 4732 numerators:, 1183 denominator= 4740 numerators:, 474 denominator= 4750 numerators:, 475 denominator= 4760 numerators:, 476 denominator= 4763 numerators:, 866 denominator= 4765 numerators:, 1906 denominator= 4770 numerators:, 477 denominator= 4773 numerators:, 777 denominator= 4775 numerators:, 1337 denominator= 4780 numerators:, 478 denominator= 4790 numerators:, 479 denominator= 4792 numerators:, 599 denominator= 4794 numerators:, 799 denominator= 4795 numerators:, 959 denominator= 4796 numerators:, 1199 denominator= 4797 numerators:, 1599 denominator= 4798 numerators:, 2399 denominator= 4810 numerators:, 481 denominator= 4820 numerators:, 482 denominator= 4830 numerators:, 483 denominator= 4840 numerators:, 484 denominator= 4850 numerators:, 485 denominator= 4853 numerators:, 1055 denominator= 4860 numerators:, 486 denominator= 4864 numerators:, 1216 denominator= 4865 numerators:, 1946 denominator= 4870 numerators:, 487 denominator= 4880 numerators:, 488 denominator= 4884 numerators:, 888 denominator= 4890 numerators:, 489 denominator= 4893 numerators:, 699 denominator= 4895 numerators:, 979 denominator= 4898 numerators:, 2449 denominator= 4910 numerators:, 491 denominator= 4920 numerators:, 492 denominator= 4930 numerators:, 493 denominator= 4932 numerators:, 1233 denominator= 4940 numerators:, 494 denominator= 4950 numerators:, 495 denominator= 4960 numerators:, 496 denominator= 4965 numerators:, 1986 denominator= 4970 numerators:, 497 denominator= 4976 numerators:, 2177 denominator= 4980 numerators:, 498 denominator= 4990 numerators:, 499 denominator= 4995 numerators:, 999 denominator= 4996 numerators:, 1249 denominator= 4998 numerators:, 2499 denominator= 5010 numerators:, 501 denominator= 5020 numerators:, 502 denominator= 5030 numerators:, 503 denominator= 5040 numerators:, 504 denominator= 5050 numerators:, 505 denominator= 5054 numerators:, 1805 denominator= 5060 numerators:, 506 denominator= 5064 numerators:, 1266 denominator= 5065 numerators:, 2026 denominator= 5070 numerators:, 507 denominator= 5080 numerators:, 508 denominator= 5090 numerators:, 509 denominator= 5094 numerators:, 849 denominator= 5095 numerators:, 1019 denominator= 5097 numerators:, 1699 denominator= 5098 numerators:, 2549 denominator= 5110 numerators:, 511 denominator= 5120 numerators:, 512 denominator= 5130 numerators:, 513 denominator= 5131 numerators:, 733 denominator= 5132 numerators:, 1283 denominator= 5140 numerators:, 514 denominator= 5150 numerators:, 515 denominator= 5152 numerators:, 805 denominator= 5160 numerators:, 516 denominator= 5165 numerators:, 2066 denominator= 5170 numerators:, 517 denominator= 5180 numerators:, 518 denominator= 5190 numerators:, 519 denominator= 5192 numerators:, 649 denominator= 5195 numerators:, 1039 denominator= 5196 numerators:, 1299 denominator= 5198 numerators:, 2599 denominator= 5210 numerators:, 521 denominator= 5220 numerators:, 522 denominator= 5230 numerators:, 523 denominator= 5240 numerators:, 524 denominator= 5250 numerators:, 525 denominator= 5260 numerators:, 526 denominator= 5264 numerators:, 1316 denominator= 5265 numerators:, 2106 denominator= 5270 numerators:, 527 denominator= 5275 numerators:, 1477 denominator= 5280 numerators:, 528 denominator= 5285 numerators:, 1208 denominator= 5287 numerators:, 2488 denominator= 5290 numerators:, 529 denominator= 5295 numerators:, 1059 denominator= 5298 numerators:, 2649 denominator= 5310 numerators:, 531 denominator= 5320 numerators:, 532 denominator= 5330 numerators:, 533 denominator= 5332 numerators:, 1333 denominator= 5340 numerators:, 534 denominator= 5343 numerators:, 1644 denominator= 5350 numerators:, 535 denominator= 5360 numerators:, 536 denominator= 5362 numerators:, 766 denominator= 5365 numerators:, 2146 denominator= 5370 numerators:, 537 denominator= 5380 numerators:, 538 denominator= 5390 numerators:, 539 denominator= 5391 numerators:, 599 denominator= 5394 numerators:, 899 denominator= 5395 numerators:, 1079 denominator= 5396 numerators:, 1349 denominator= 5397 numerators:, 1799 denominator= 5398 numerators:, 2699 denominator= 5410 numerators:, 541 denominator= 5420 numerators:, 542 denominator= 5430 numerators:, 543 denominator= 5440 numerators:, 544 denominator= 5450 numerators:, 545 denominator= 5460 numerators:, 546 denominator= 5464 numerators:, 1366 denominator= 5465 numerators:, 2186 denominator= 5470 numerators:, 547 denominator= 5474 numerators:, 1127 denominator= 5480 numerators:, 548 denominator= 5486 numerators:, 1688 denominator= 5490 numerators:, 549 denominator= 5495 numerators:, 1099 denominator= 5498 numerators:, 2749 denominator= 5510 numerators:, 551 denominator= 5520 numerators:, 552 denominator= 5530 numerators:, 553 denominator= 5532 numerators:, 1383 denominator= 5540 numerators:, 554 denominator= 5550 numerators:, 555 denominator= 5560 numerators:, 556 denominator= 5565 numerators:, 2226 denominator= 5570 numerators:, 557 denominator= 5580 numerators:, 558 denominator= 5590 numerators:, 559 denominator= 5592 numerators:, 699 denominator= 5593 numerators:, 799 denominator= 5595 numerators:, 1119 denominator= 5596 numerators:, 1399 denominator= 5598 numerators:, 2799 denominator= 5610 numerators:, 561 denominator= 5620 numerators:, 562 denominator= 5621 numerators:, 1022 denominator= 5630 numerators:, 563 denominator= 5640 numerators:, 564 denominator= 5650 numerators:, 565 denominator= 5660 numerators:, 566 denominator= 5661 numerators:, 666 denominator= 5664 numerators:, 1416 denominator= 5665 numerators:, 2266 denominator= 5670 numerators:, 567 denominator= 5680 numerators:, 568 denominator= 5690 numerators:, 569 denominator= 5694 numerators:, 949 denominator= 5695 numerators:, 1139 denominator= 5697 numerators:, 1899 denominator= 5698 numerators:, 2849 denominator= 5710 numerators:, 571 denominator= 5720 numerators:, 572 denominator= 5730 numerators:, 573 denominator= 5732 numerators:, 1433 denominator= 5740 numerators:, 574 denominator= 5742 numerators:, 1044 denominator= 5750 numerators:, 575 denominator= 5754 numerators:, 2055 denominator= 5760 numerators:, 576 denominator= 5765 numerators:, 2306 denominator= 5770 numerators:, 577 denominator= 5772 numerators:, 777 denominator= 5775 numerators:, 1617 denominator= 5776 numerators:, 2527 denominator= 5780 numerators:, 578 denominator= 5790 numerators:, 579 denominator= 5795 numerators:, 1159 denominator= 5796 numerators:, 1449 denominator= 5798 numerators:, 2899 denominator= 5810 numerators:, 581 denominator= 5820 numerators:, 582 denominator= 5830 numerators:, 583 denominator= 5831 numerators:, 833 denominator= 5840 numerators:, 584 denominator= 5850 numerators:, 585 denominator= 5860 numerators:, 586 denominator= 5863 numerators:, 1066 denominator= 5864 numerators:, 1466 denominator= 5865 numerators:, 2346 denominator= 5870 numerators:, 587 denominator= 5880 numerators:, 588 denominator= 5883 numerators:, 888 denominator= 5890 numerators:, 589 denominator= 5895 numerators:, 1179 denominator= 5898 numerators:, 2949 denominator= 5910 numerators:, 591 denominator= 5920 numerators:, 592 denominator= 5930 numerators:, 593 denominator= 5932 numerators:, 1483 denominator= 5940 numerators:, 594 denominator= 5950 numerators:, 595 denominator= 5960 numerators:, 596 denominator= 5965 numerators:, 2386 denominator= 5970 numerators:, 597 denominator= 5980 numerators:, 598 denominator= 5984 numerators:, 1088 denominator= 5985 numerators:, 1368 denominator= 5990 numerators:, 599 denominator= 5992 numerators:, 749 denominator= 5994 numerators:, 999 denominator= 5995 numerators:, 1199 denominator= 5996 numerators:, 1499 denominator= 5997 numerators:, 1999 denominator= 5998 numerators:, 2999 denominator= 6010 numerators:, 601 denominator= 6020 numerators:, 602 denominator= 6030 numerators:, 603 denominator= 6040 numerators:, 604 denominator= 6050 numerators:, 605 denominator= 6060 numerators:, 606 denominator= 6062 numerators:, 866 denominator= 6064 numerators:, 1516 denominator= 6065 numerators:, 2426 denominator= 6070 numerators:, 607 denominator= 6080 numerators:, 608 denominator= 6090 numerators:, 609 denominator= 6095 numerators:, 1219 denominator= 6098 numerators:, 3049 denominator= 6110 numerators:, 611 denominator= 6120 numerators:, 612 denominator= 6130 numerators:, 613 denominator= 6132 numerators:, 1533 denominator= 6140 numerators:, 614 denominator= 6150 numerators:, 615 denominator= 6160 numerators:, 616 denominator= 6165 numerators:, 2466 denominator= 6170 numerators:, 617 denominator= 6180 numerators:, 618 denominator= 6190 numerators:, 619 denominator= 6195 numerators:, 1239 denominator= 6196 numerators:, 1549 denominator= 6198 numerators:, 3099 denominator= 6210 numerators:, 621 denominator= 6220 numerators:, 622 denominator= 6230 numerators:, 623 denominator= 6240 numerators:, 624 denominator= 6250 numerators:, 625 denominator= 6260 numerators:, 626 denominator= 6264 numerators:, 1566 denominator= 6265 numerators:, 2506 denominator= 6270 numerators:, 627 denominator= 6275 numerators:, 1757 denominator= 6280 numerators:, 628 denominator= 6290 numerators:, 629 denominator= 6291 numerators:, 699 denominator= 6293 numerators:, 899 denominator= 6294 numerators:, 1049 denominator= 6295 numerators:, 1259 denominator= 6297 numerators:, 2099 denominator= 6298 numerators:, 3149 denominator= 6310 numerators:, 631 denominator= 6320 numerators:, 632 denominator= 6330 numerators:, 633 denominator= 6332 numerators:, 1583 denominator= 6340 numerators:, 634 denominator= 6350 numerators:, 635 denominator= 6360 numerators:, 636 denominator= 6365 numerators:, 2546 denominator= 6370 numerators:, 637 denominator= 6380 numerators:, 638 denominator= 6390 numerators:, 639 denominator= 6392 numerators:, 799 denominator= 6395 numerators:, 1279 denominator= 6396 numerators:, 1599 denominator= 6398 numerators:, 3199 denominator= 6410 numerators:, 641 denominator= 6420 numerators:, 642 denominator= 6430 numerators:, 643 denominator= 6440 numerators:, 644 denominator= 6450 numerators:, 645 denominator= 6454 numerators:, 2305 denominator= 6460 numerators:, 646 denominator= 6464 numerators:, 1616 denominator= 6465 numerators:, 2586 denominator= 6470 numerators:, 647 denominator= 6480 numerators:, 648 denominator= 6490 numerators:, 649 denominator= 6495 numerators:, 1299 denominator= 6498 numerators:, 3249 denominator= 6510 numerators:, 651 denominator= 6520 numerators:, 652 denominator= 6530 numerators:, 653 denominator= 6531 numerators:, 933 denominator= 6532 numerators:, 1633 denominator= 6540 numerators:, 654 denominator= 6541 numerators:, 844 denominator= 6550 numerators:, 655 denominator= 6560 numerators:, 656 denominator= 6565 numerators:, 2626 denominator= 6570 numerators:, 657 denominator= 6576 numerators:, 2877 denominator= 6580 numerators:, 658 denominator= 6590 numerators:, 659 denominator= 6594 numerators:, 1099 denominator= 6595 numerators:, 1319 denominator= 6596 numerators:, 1649 denominator= 6597 numerators:, 2199 denominator= 6598 numerators:, 3299 denominator= 6610 numerators:, 661 denominator= 6620 numerators:, 662 denominator= 6630 numerators:, 663 denominator= 6640 numerators:, 664 denominator= 6643 numerators:, 2044 denominator= 6650 numerators:, 665 denominator= 6660 numerators:, 666 denominator= 6664 numerators:, 1666 denominator= 6665 numerators:, 2666 denominator= 6670 numerators:, 667 denominator= 6680 numerators:, 668 denominator= 6685 numerators:, 1528 denominator= 6690 numerators:, 669 denominator= 6695 numerators:, 1339 denominator= 6698 numerators:, 3349 denominator= 6710 numerators:, 671 denominator= 6720 numerators:, 672 denominator= 6721 numerators:, 1222 denominator= 6730 numerators:, 673 denominator= 6732 numerators:, 1683 denominator= 6740 numerators:, 674 denominator= 6750 numerators:, 675 denominator= 6752 numerators:, 1055 denominator= 6760 numerators:, 676 denominator= 6762 numerators:, 966 denominator= 6765 numerators:, 2706 denominator= 6770 numerators:, 677 denominator= 6771 numerators:, 777 denominator= 6775 numerators:, 1897 denominator= 6780 numerators:, 678 denominator= 6786 numerators:, 2088 denominator= 6790 numerators:, 679 denominator= 6792 numerators:, 849 denominator= 6795 numerators:, 1359 denominator= 6796 numerators:, 1699 denominator= 6798 numerators:, 3399 denominator= 6810 numerators:, 681 denominator= 6820 numerators:, 682 denominator= 6830 numerators:, 683 denominator= 6840 numerators:, 684 denominator= 6842 numerators:, 1244 denominator= 6850 numerators:, 685 denominator= 6860 numerators:, 686 denominator= 6864 numerators:, 1716 denominator= 6865 numerators:, 2746 denominator= 6870 numerators:, 687 denominator= 6880 numerators:, 688 denominator= 6882 numerators:, 888 denominator= 6890 numerators:, 689 denominator= 6894 numerators:, 1149 denominator= 6895 numerators:, 1379 denominator= 6897 numerators:, 2299 denominator= 6898 numerators:, 3449 denominator= 6910 numerators:, 691 denominator= 6920 numerators:, 692 denominator= 6930 numerators:, 693 denominator= 6932 numerators:, 1733 denominator= 6940 numerators:, 694 denominator= 6950 numerators:, 695 denominator= 6960 numerators:, 696 denominator= 6963 numerators:, 1266 denominator= 6965 numerators:, 2786 denominator= 6970 numerators:, 697 denominator= 6980 numerators:, 698 denominator= 6987 numerators:, 3288 denominator= 6990 numerators:, 699 denominator= 6993 numerators:, 999 denominator= 6995 numerators:, 1399 denominator= 6996 numerators:, 1749 denominator= 6998 numerators:, 3499 denominator= 7010 numerators:, 701 denominator= 7020 numerators:, 702 denominator= 7030 numerators:, 703 denominator= 7040 numerators:, 704 denominator= 7050 numerators:, 705 denominator= 7060 numerators:, 706 denominator= 7064 numerators:, 1766 denominator= 7065 numerators:, 2826 denominator= 7070 numerators:, 707 denominator= 7080 numerators:, 708 denominator= 7084 numerators:, 1288 denominator= 7090 numerators:, 709 denominator= 7095 numerators:, 1419 denominator= 7098 numerators:, 3549 denominator= 7110 numerators:, 711 denominator= 7120 numerators:, 712 denominator= 7130 numerators:, 713 denominator= 7132 numerators:, 1783 denominator= 7140 numerators:, 714 denominator= 7150 numerators:, 715 denominator= 7153 numerators:, 1555 denominator= 7154 numerators:, 2555 denominator= 7160 numerators:, 716 denominator= 7165 numerators:, 2866 denominator= 7170 numerators:, 717 denominator= 7174 numerators:, 1477 denominator= 7180 numerators:, 718 denominator= 7190 numerators:, 719 denominator= 7191 numerators:, 799 denominator= 7192 numerators:, 899 denominator= 7194 numerators:, 1199 denominator= 7195 numerators:, 1439 denominator= 7196 numerators:, 1799 denominator= 7197 numerators:, 2399 denominator= 7198 numerators:, 3599 denominator= 7210 numerators:, 721 denominator= 7220 numerators:, 722 denominator= 7230 numerators:, 723 denominator= 7231 numerators:, 1033 denominator= 7240 numerators:, 724 denominator= 7250 numerators:, 725 denominator= 7260 numerators:, 726 denominator= 7264 numerators:, 1816 denominator= 7265 numerators:, 2906 denominator= 7270 numerators:, 727 denominator= 7275 numerators:, 2037 denominator= 7280 numerators:, 728 denominator= 7290 numerators:, 729 denominator= 7295 numerators:, 1459 denominator= 7298 numerators:, 3649 denominator= 7310 numerators:, 731 denominator= 7320 numerators:, 732 denominator= 7330 numerators:, 733 denominator= 7332 numerators:, 1833 denominator= 7340 numerators:, 734 denominator= 7350 numerators:, 735 denominator= 7360 numerators:, 736 denominator= 7361 numerators:, 866 denominator= 7365 numerators:, 2946 denominator= 7370 numerators:, 737 denominator= 7376 numerators:, 3227 denominator= 7380 numerators:, 738 denominator= 7385 numerators:, 1688 denominator= 7390 numerators:, 739 denominator= 7395 numerators:, 1479 denominator= 7396 numerators:, 1849 denominator= 7398 numerators:, 3699 denominator= 7410 numerators:, 741 denominator= 7420 numerators:, 742 denominator= 7430 numerators:, 743 denominator= 7440 numerators:, 744 denominator= 7450 numerators:, 745 denominator= 7460 numerators:, 746 denominator= 7462 numerators:, 1066 denominator= 7464 numerators:, 1866 denominator= 7465 numerators:, 2986 denominator= 7470 numerators:, 747 denominator= 7480 numerators:, 748 denominator= 7490 numerators:, 749 denominator= 7494 numerators:, 1249 denominator= 7495 numerators:, 1499 denominator= 7497 numerators:, 2499 denominator= 7498 numerators:, 3749 denominator= 7510 numerators:, 751 denominator= 7520 numerators:, 752 denominator= 7530 numerators:, 753 denominator= 7532 numerators:, 1883 denominator= 7540 numerators:, 754 denominator= 7550 numerators:, 755 denominator= 7560 numerators:, 756 denominator= 7565 numerators:, 3026 denominator= 7570 numerators:, 757 denominator= 7580 numerators:, 758 denominator= 7590 numerators:, 759 denominator= 7592 numerators:, 949 denominator= 7595 numerators:, 1519 denominator= 7596 numerators:, 1899 denominator= 7598 numerators:, 3799 denominator= 7610 numerators:, 761 denominator= 7620 numerators:, 762 denominator= 7630 numerators:, 763 denominator= 7640 numerators:, 764 denominator= 7650 numerators:, 765 denominator= 7660 numerators:, 766 denominator= 7664 numerators:, 1916 denominator= 7665 numerators:, 3066 denominator= 7670 numerators:, 767 denominator= 7680 numerators:, 768 denominator= 7690 numerators:, 769 denominator= 7693 numerators:, 1099 denominator= 7695 numerators:, 1539 denominator= 7698 numerators:, 3849 denominator= 7710 numerators:, 771 denominator= 7720 numerators:, 772 denominator= 7730 numerators:, 773 denominator= 7732 numerators:, 1933 denominator= 7740 numerators:, 774 denominator= 7750 numerators:, 775 denominator= 7760 numerators:, 776 denominator= 7765 numerators:, 3106 denominator= 7770 numerators:, 777 denominator= 7775 numerators:, 2177 denominator= 7780 numerators:, 778 denominator= 7790 numerators:, 779 denominator= 7794 numerators:, 1299 denominator= 7795 numerators:, 1559 denominator= 7796 numerators:, 1949 denominator= 7797 numerators:, 2599 denominator= 7798 numerators:, 3899 denominator= 7810 numerators:, 781 denominator= 7820 numerators:, 782 denominator= 7821 numerators:, 1422 denominator= 7830 numerators:, 783 denominator= 7840 numerators:, 784 denominator= 7850 numerators:, 785 denominator= 7854 numerators:, 2805 denominator= 7860 numerators:, 786 denominator= 7864 numerators:, 1966 denominator= 7865 numerators:, 3146 denominator= 7870 numerators:, 787 denominator= 7880 numerators:, 788 denominator= 7881 numerators:, 888 denominator= 7890 numerators:, 789 denominator= 7895 numerators:, 1579 denominator= 7898 numerators:, 3949 denominator= 7910 numerators:, 791 denominator= 7920 numerators:, 792 denominator= 7930 numerators:, 793 denominator= 7931 numerators:, 1133 denominator= 7932 numerators:, 1983 denominator= 7940 numerators:, 794 denominator= 7942 numerators:, 1444 denominator= 7943 numerators:, 2444 denominator= 7950 numerators:, 795 denominator= 7960 numerators:, 796 denominator= 7965 numerators:, 3186 denominator= 7970 numerators:, 797 denominator= 7980 numerators:, 798 denominator= 7990 numerators:, 799 denominator= 7992 numerators:, 999 denominator= 7995 numerators:, 1599 denominator= 7996 numerators:, 1999 denominator= 7998 numerators:, 3999 denominator= 8010 numerators:, 801 denominator= 8020 numerators:, 802 denominator= 8030 numerators:, 803 denominator= 8040 numerators:, 804 denominator= 8050 numerators:, 805 denominator= 8060 numerators:, 806 denominator= 8063 numerators:, 1466 denominator= 8064 numerators:, 2016 denominator= 8065 numerators:, 3226 denominator= 8070 numerators:, 807 denominator= 8080 numerators:, 808 denominator= 8085 numerators:, 1848 denominator= 8086 numerators:, 2488 denominator= 8090 numerators:, 809 denominator= 8091 numerators:, 899 denominator= 8094 numerators:, 1349 denominator= 8095 numerators:, 1619 denominator= 8097 numerators:, 2699 denominator= 8098 numerators:, 4049 denominator= 8110 numerators:, 811 denominator= 8120 numerators:, 812 denominator= 8130 numerators:, 813 denominator= 8132 numerators:, 2033 denominator= 8140 numerators:, 814 denominator= 8150 numerators:, 815 denominator= 8160 numerators:, 816 denominator= 8162 numerators:, 1166 denominator= 8165 numerators:, 3266 denominator= 8170 numerators:, 817 denominator= 8176 numerators:, 3577 denominator= 8180 numerators:, 818 denominator= 8184 numerators:, 1488 denominator= 8190 numerators:, 819 denominator= 8195 numerators:, 1639 denominator= 8196 numerators:, 2049 denominator= 8198 numerators:, 4099 denominator= 8210 numerators:, 821 denominator= 8220 numerators:, 822 denominator= 8230 numerators:, 823 denominator= 8240 numerators:, 824 denominator= 8250 numerators:, 825 denominator= 8260 numerators:, 826 denominator= 8264 numerators:, 2066 denominator= 8265 numerators:, 3306 denominator= 8270 numerators:, 827 denominator= 8275 numerators:, 2317 denominator= 8280 numerators:, 828 denominator= 8290 numerators:, 829 denominator= 8295 numerators:, 1659 denominator= 8298 numerators:, 4149 denominator= 8310 numerators:, 831 denominator= 8320 numerators:, 832 denominator= 8330 numerators:, 833 denominator= 8332 numerators:, 2083 denominator= 8340 numerators:, 834 denominator= 8350 numerators:, 835 denominator= 8352 numerators:, 1305 denominator= 8360 numerators:, 836 denominator= 8365 numerators:, 3346 denominator= 8370 numerators:, 837 denominator= 8372 numerators:, 1127 denominator= 8380 numerators:, 838 denominator= 8390 numerators:, 839 denominator= 8392 numerators:, 1049 denominator= 8393 numerators:, 1199 denominator= 8394 numerators:, 1399 denominator= 8395 numerators:, 1679 denominator= 8396 numerators:, 2099 denominator= 8397 numerators:, 2799 denominator= 8398 numerators:, 4199 denominator= 8410 numerators:, 841 denominator= 8420 numerators:, 842 denominator= 8430 numerators:, 843 denominator= 8440 numerators:, 844 denominator= 8450 numerators:, 845 denominator= 8460 numerators:, 846 denominator= 8464 numerators:, 2116 denominator= 8465 numerators:, 3386 denominator= 8470 numerators:, 847 denominator= 8480 numerators:, 848 denominator= 8490 numerators:, 849 denominator= 8495 numerators:, 1699 denominator= 8498 numerators:, 4249 denominator= 8510 numerators:, 851 denominator= 8520 numerators:, 852 denominator= 8530 numerators:, 853 denominator= 8532 numerators:, 2133 denominator= 8540 numerators:, 854 denominator= 8550 numerators:, 855 denominator= 8554 numerators:, 3055 denominator= 8560 numerators:, 856 denominator= 8565 numerators:, 3426 denominator= 8570 numerators:, 857 denominator= 8580 numerators:, 858 denominator= 8590 numerators:, 859 denominator= 8595 numerators:, 1719 denominator= 8596 numerators:, 2149 denominator= 8598 numerators:, 4299 denominator= 8610 numerators:, 861 denominator= 8620 numerators:, 862 denominator= 8630 numerators:, 863 denominator= 8631 numerators:, 1233 denominator= 8640 numerators:, 864 denominator= 8650 numerators:, 865 denominator= 8651 numerators:, 1055 denominator= 8660 numerators:, 866 denominator= 8664 numerators:, 2166 denominator= 8665 numerators:, 3466 denominator= 8670 numerators:, 867 denominator= 8680 numerators:, 868 denominator= 8687 numerators:, 4088 denominator= 8690 numerators:, 869 denominator= 8694 numerators:, 1449 denominator= 8695 numerators:, 1739 denominator= 8697 numerators:, 2899 denominator= 8698 numerators:, 4349 denominator= 8710 numerators:, 871 denominator= 8720 numerators:, 872 denominator= 8730 numerators:, 873 denominator= 8732 numerators:, 2183 denominator= 8740 numerators:, 874 denominator= 8750 numerators:, 875 denominator= 8760 numerators:, 876 denominator= 8765 numerators:, 3506 denominator= 8770 numerators:, 877 denominator= 8775 numerators:, 2457 denominator= 8780 numerators:, 878 denominator= 8785 numerators:, 2008 denominator= 8790 numerators:, 879 denominator= 8792 numerators:, 1099 denominator= 8795 numerators:, 1759 denominator= 8796 numerators:, 2199 denominator= 8798 numerators:, 4399 denominator= 8810 numerators:, 881 denominator= 8820 numerators:, 882 denominator= 8830 numerators:, 883 denominator= 8840 numerators:, 884 denominator= 8850 numerators:, 885 denominator= 8860 numerators:, 886 denominator= 8862 numerators:, 1266 denominator= 8864 numerators:, 2216 denominator= 8865 numerators:, 3546 denominator= 8870 numerators:, 887 denominator= 8874 numerators:, 1827 denominator= 8880 numerators:, 888 denominator= 8890 numerators:, 889 denominator= 8895 numerators:, 1779 denominator= 8898 numerators:, 4449 denominator= 8910 numerators:, 891 denominator= 8920 numerators:, 892 denominator= 8921 numerators:, 1622 denominator= 8930 numerators:, 893 denominator= 8932 numerators:, 2233 denominator= 8940 numerators:, 894 denominator= 8950 numerators:, 895 denominator= 8960 numerators:, 896 denominator= 8965 numerators:, 3586 denominator= 8970 numerators:, 897 denominator= 8976 numerators:, 3927 denominator= 8980 numerators:, 898 denominator= 8990 numerators:, 899 denominator= 8991 numerators:, 999 denominator= 8994 numerators:, 1499 denominator= 8995 numerators:, 1799 denominator= 8996 numerators:, 2249 denominator= 8997 numerators:, 2999 denominator= 8998 numerators:, 4499 denominator= 9010 numerators:, 901 denominator= 9020 numerators:, 902 denominator= 9030 numerators:, 903 denominator= 9040 numerators:, 904 denominator= 9042 numerators:, 1644 denominator= 9050 numerators:, 905 denominator= 9060 numerators:, 906 denominator= 9061 numerators:, 1066 denominator= 9064 numerators:, 2266 denominator= 9065 numerators:, 3626 denominator= 9070 numerators:, 907 denominator= 9073 numerators:, 1477 denominator= 9080 numerators:, 908 denominator= 9090 numerators:, 909 denominator= 9093 numerators:, 1299 denominator= 9095 numerators:, 1819 denominator= 9098 numerators:, 4549 denominator= 9110 numerators:, 911 denominator= 9120 numerators:, 912 denominator= 9130 numerators:, 913 denominator= 9132 numerators:, 2283 denominator= 9140 numerators:, 914 denominator= 9150 numerators:, 915 denominator= 9160 numerators:, 916 denominator= 9163 numerators:, 1666 denominator= 9165 numerators:, 3666 denominator= 9170 numerators:, 917 denominator= 9180 numerators:, 918 denominator= 9190 numerators:, 919 denominator= 9192 numerators:, 1149 denominator= 9195 numerators:, 1839 denominator= 9196 numerators:, 2299 denominator= 9198 numerators:, 4599 denominator= 9210 numerators:, 921 denominator= 9220 numerators:, 922 denominator= 9230 numerators:, 923 denominator= 9240 numerators:, 924 denominator= 9243 numerators:, 2844 denominator= 9250 numerators:, 925 denominator= 9254 numerators:, 3305 denominator= 9260 numerators:, 926 denominator= 9264 numerators:, 2316 denominator= 9265 numerators:, 3706 denominator= 9270 numerators:, 927 denominator= 9275 numerators:, 2597 denominator= 9280 numerators:, 928 denominator= 9284 numerators:, 1688 denominator= 9290 numerators:, 929 denominator= 9294 numerators:, 1549 denominator= 9295 numerators:, 1859 denominator= 9297 numerators:, 3099 denominator= 9298 numerators:, 4649 denominator= 9310 numerators:, 931 denominator= 9320 numerators:, 932 denominator= 9330 numerators:, 933 denominator= 9331 numerators:, 1333 denominator= 9332 numerators:, 2333 denominator= 9340 numerators:, 934 denominator= 9350 numerators:, 935 denominator= 9360 numerators:, 936 denominator= 9365 numerators:, 3746 denominator= 9370 numerators:, 937 denominator= 9380 numerators:, 938 denominator= 9386 numerators:, 2888 denominator= 9390 numerators:, 939 denominator= 9395 numerators:, 1879 denominator= 9396 numerators:, 2349 denominator= 9398 numerators:, 4699 denominator= 9410 numerators:, 941 denominator= 9420 numerators:, 942 denominator= 9430 numerators:, 943 denominator= 9440 numerators:, 944 denominator= 9450 numerators:, 945 denominator= 9453 numerators:, 2055 denominator= 9460 numerators:, 946 denominator= 9464 numerators:, 2366 denominator= 9465 numerators:, 3786 denominator= 9470 numerators:, 947 denominator= 9480 numerators:, 948 denominator= 9485 numerators:, 2168 denominator= 9490 numerators:, 949 denominator= 9495 numerators:, 1899 denominator= 9498 numerators:, 4749 denominator= 9510 numerators:, 951 denominator= 9520 numerators:, 952 denominator= 9530 numerators:, 953 denominator= 9532 numerators:, 2383 denominator= 9540 numerators:, 954 denominator= 9550 numerators:, 955 denominator= 9560 numerators:, 956 denominator= 9562 numerators:, 1366 denominator= 9565 numerators:, 3826 denominator= 9570 numerators:, 957 denominator= 9580 numerators:, 958 denominator= 9590 numerators:, 959 denominator= 9592 numerators:, 1199 denominator= 9594 numerators:, 1599 denominator= 9595 numerators:, 1919 denominator= 9596 numerators:, 2399 denominator= 9597 numerators:, 3199 denominator= 9598 numerators:, 4799 denominator= 9610 numerators:, 961 denominator= 9620 numerators:, 962 denominator= 9630 numerators:, 963 denominator= 9640 numerators:, 964 denominator= 9641 numerators:, 1244 denominator= 9650 numerators:, 965 denominator= 9660 numerators:, 966 denominator= 9664 numerators:, 2416 denominator= 9665 numerators:, 3866 denominator= 9670 numerators:, 967 denominator= 9680 numerators:, 968 denominator= 9690 numerators:, 969 denominator= 9695 numerators:, 1939 denominator= 9698 numerators:, 4849 denominator= 9710 numerators:, 971 denominator= 9720 numerators:, 972 denominator= 9730 numerators:, 973 denominator= 9732 numerators:, 2433 denominator= 9740 numerators:, 974 denominator= 9750 numerators:, 975 denominator= 9760 numerators:, 976 denominator= 9765 numerators:, 3906 denominator= 9770 numerators:, 977 denominator= 9775 numerators:, 2737 denominator= 9776 numerators:, 4277 denominator= 9780 numerators:, 978 denominator= 9790 numerators:, 979 denominator= 9793 numerators:, 1399 denominator= 9795 numerators:, 1959 denominator= 9796 numerators:, 2449 denominator= 9798 numerators:, 4899 denominator= 9810 numerators:, 981 denominator= 9820 numerators:, 982 denominator= 9830 numerators:, 983 denominator= 9840 numerators:, 984 denominator= 9850 numerators:, 985 denominator= 9860 numerators:, 986 denominator= 9864 numerators:, 2466 denominator= 9865 numerators:, 3946 denominator= 9870 numerators:, 987 denominator= 9880 numerators:, 988 denominator= 9890 numerators:, 989 denominator= 9891 numerators:, 1099 denominator= 9894 numerators:, 1649 denominator= 9895 numerators:, 1979 denominator= 9897 numerators:, 3299 denominator= 9898 numerators:, 4949 denominator= 9910 numerators:, 991 denominator= 9920 numerators:, 992 denominator= 9930 numerators:, 993 denominator= 9932 numerators:, 2483 denominator= 9940 numerators:, 994 denominator= 9950 numerators:, 995 denominator= 9952 numerators:, 1555 denominator= 9954 numerators:, 3555 denominator= 9960 numerators:, 996 denominator= 9965 numerators:, 3986 denominator= 9970 numerators:, 997 denominator= 9980 numerators:, 998 denominator= 9982 numerators:, 1288 denominator= 9990 numerators:, 999 denominator= 9992 numerators:, 1249 denominator= 9995 numerators:, 1999 denominator= 9996 numerators:, 2499 denominator= 9998 numerators:, 4999 ------------------------------------------------------------------------- Section 6 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 1022 numerators:, 5621 denominator= 1044 numerators:, 5742 denominator= 1055 numerators:, 2954, 4853, 6752, 8651 denominator= 1060 numerators:, 265 denominator= 1064 numerators:, 266, 665, 1463, 1862, 2261, 2660 denominator= 1066 numerators:, 2665, 5863, 9061 denominator= 1085 numerators:, 2480 denominator= 1088 numerators:, 5984 denominator= 1110 numerators:, 111 denominator= 1132 numerators:, 2830 denominator= 1160 numerators:, 464 denominator= 1162 numerators:, 166, 664, 1660 denominator= 1165 numerators:, 466, 1864, 2563, 3262, 3961 denominator= 1190 numerators:, 595 denominator= 1191 numerators:, 397, 794 denominator= 1192 numerators:, 298, 596, 894, 1490 denominator= 1194 numerators:, 199, 398, 597, 796, 995, 1393, 1592, 1791, 1990 denominator= 1196 numerators:, 299, 598, 897, 1495, 1794, 2093, 2691, 2990 denominator= 1197 numerators:, 399, 798, 1596, 1995, 2793, 3192, 3990 denominator= 1198 numerators:, 599, 1797, 2995, 4193, 5391 denominator= 1220 numerators:, 122 denominator= 1221 numerators:, 222, 2220 denominator= 1222 numerators:, 6721 denominator= 1244 numerators:, 4043, 6842, 9641 denominator= 1264 numerators:, 3160 denominator= 1266 numerators:, 3165, 6963, 10761 denominator= 1275 numerators:, 3570 denominator= 1288 numerators:, 4186, 7084, 9982 denominator= 1330 numerators:, 133, 532, 931 denominator= 1332 numerators:, 333, 2331, 3330 denominator= 1342 numerators:, 244, 2440 denominator= 1376 numerators:, 4472 denominator= 1390 numerators:, 695 denominator= 1392 numerators:, 696 denominator= 1393 numerators:, 199, 398, 597, 796, 995, 1194, 1592, 1791, 1990 denominator= 1394 numerators:, 697, 2091 denominator= 1396 numerators:, 698, 2094, 3490 denominator= 1398 numerators:, 699, 2097, 3495, 4893, 6291 denominator= 1422 numerators:, 7821 denominator= 1440 numerators:, 144 denominator= 1443 numerators:, 444, 2442, 3441, 4440 denominator= 1444 numerators:, 7942 denominator= 1460 numerators:, 365 denominator= 1463 numerators:, 266, 665, 1064, 1862, 2261, 2660 denominator= 1464 numerators:, 366, 2562, 3660 denominator= 1466 numerators:, 3665, 8063, 12461 denominator= 1477 numerators:, 3376, 5275, 7174, 9073, 10972, 12871 denominator= 1488 numerators:, 8184 denominator= 1490 numerators:, 298, 596, 894, 1192 denominator= 1491 numerators:, 497, 994 denominator= 1494 numerators:, 498, 996, 1992, 2490 denominator= 1495 numerators:, 299, 598, 897, 1196, 1794, 2093, 2392, 2691 denominator= 1497 numerators:, 499, 998, 1996, 2495, 3493, 3992, 4990 denominator= 1532 numerators:, 3830 denominator= 1550 numerators:, 155 denominator= 1554 numerators:, 555, 2553, 3552, 4551, 5550 denominator= 1555 numerators:, 4354, 7153, 9952, 12751 denominator= 1584 numerators:, 288, 2880 denominator= 1586 numerators:, 488, 2684, 3782, 4880 denominator= 1590 numerators:, 795 denominator= 1592 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1791, 1990 denominator= 1594 numerators:, 797, 2391 denominator= 1596 numerators:, 399, 798, 1197, 1995, 2394, 2793, 3591, 3990 denominator= 1598 numerators:, 799, 2397, 3995, 5593, 7191 denominator= 1622 numerators:, 8921 denominator= 1631 numerators:, 233, 932, 2330 denominator= 1644 numerators:, 5343, 9042, 12741 denominator= 1660 numerators:, 166, 664, 1162 denominator= 1664 numerators:, 4160 denominator= 1665 numerators:, 666, 2664, 3663, 4662, 5661 denominator= 1666 numerators:, 4165, 9163, 14161 denominator= 1688 numerators:, 3587, 5486, 7385, 9284, 11183, 13082, 14981 denominator= 1732 numerators:, 433, 3031, 4330 denominator= 1770 numerators:, 177 denominator= 1775 numerators:, 4970 denominator= 1776 numerators:, 777, 2775, 3774, 4773, 5772, 6771, 7770 denominator= 1785 numerators:, 4080 denominator= 1790 numerators:, 895 denominator= 1791 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1990 denominator= 1792 numerators:, 896 denominator= 1794 numerators:, 299, 598, 897, 1196, 1495, 2093, 2392, 2691, 2990 denominator= 1796 numerators:, 898, 2694, 4490 denominator= 1797 numerators:, 599, 1198, 2396, 2995, 4193, 4792, 5990 denominator= 1798 numerators:, 899, 2697, 4495, 6293, 8091 denominator= 1822 numerators:, 10021 denominator= 1830 numerators:, 732 denominator= 1844 numerators:, 10142 denominator= 1860 numerators:, 465 denominator= 1862 numerators:, 266, 665, 1064, 1463, 2261, 2660 denominator= 1864 numerators:, 466, 1165, 2563, 3262, 3961, 4660 denominator= 1866 numerators:, 4665, 10263, 15861 denominator= 1872 numerators:, 576 denominator= 1880 numerators:, 188 denominator= 1887 numerators:, 888, 2886, 3885, 4884, 5883, 6882, 7881, 8880 denominator= 1888 numerators:, 10384 denominator= 1932 numerators:, 4830 denominator= 1952 numerators:, 854, 3050 denominator= 1990 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791 denominator= 1992 numerators:, 498, 996, 1494, 2490 denominator= 1994 numerators:, 997, 2991 denominator= 1995 numerators:, 399, 798, 1197, 1596, 2394, 2793, 3192, 3591 denominator= 1996 numerators:, 499, 998, 1497, 2495, 2994, 3493, 4491, 4990 denominator= 1998 numerators:, 999, 2997, 4995, 6993, 8991 denominator= 2022 numerators:, 11121 denominator= 2044 numerators:, 6643, 11242, 15841 denominator= 2055 numerators:, 5754, 9453, 13152, 16851 denominator= 2064 numerators:, 5160 denominator= 2066 numerators:, 5165, 11363, 17561 denominator= 2074 numerators:, 976, 3172, 4270 denominator= 2088 numerators:, 6786, 11484, 16182 denominator= 2091 numerators:, 697, 1394 denominator= 2093 numerators:, 299, 598, 897, 1196, 1495, 1794, 2392, 2691, 2990 denominator= 2094 numerators:, 698, 1396, 2792, 3490 denominator= 2097 numerators:, 699, 1398, 2796, 3495, 4893, 5592, 6990 denominator= 2110 numerators:, 211 denominator= 2132 numerators:, 533, 3731, 5330 denominator= 2160 numerators:, 864 denominator= 2165 numerators:, 866, 3464, 4763, 6062, 7361 denominator= 2170 numerators:, 775 denominator= 2176 numerators:, 7072 denominator= 2177 numerators:, 4976, 7775, 10574, 13373, 16172, 18971 denominator= 2190 numerators:, 1095 denominator= 2192 numerators:, 1096 denominator= 2194 numerators:, 1097, 3291 denominator= 2196 numerators:, 1098, 3294, 5490 denominator= 2198 numerators:, 1099, 3297, 5495, 7693, 9891 denominator= 2220 numerators:, 222, 1221 denominator= 2222 numerators:, 12221 denominator= 2244 numerators:, 12342 denominator= 2254 numerators:, 5152, 8050 denominator= 2260 numerators:, 565 denominator= 2261 numerators:, 266, 665, 1064, 1463, 1862, 2660 denominator= 2264 numerators:, 566, 3962, 5660 denominator= 2266 numerators:, 5665, 12463, 19261 denominator= 2275 numerators:, 6370 denominator= 2288 numerators:, 12584 denominator= 2321 numerators:, 422, 4220 denominator= 2330 numerators:, 233, 932, 1631 denominator= 2331 numerators:, 333, 1332, 3330 denominator= 2332 numerators:, 5830 denominator= 2390 numerators:, 1195 denominator= 2391 numerators:, 797, 1594 denominator= 2392 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2691, 2990 denominator= 2394 numerators:, 399, 798, 1197, 1596, 1995, 2793, 3192, 3591, 3990 denominator= 2396 numerators:, 599, 1198, 1797, 2995, 3594, 4193, 5391, 5990 denominator= 2397 numerators:, 799, 1598, 3196, 3995, 5593, 6392, 7990 denominator= 2398 numerators:, 1199, 3597, 5995, 8393, 10791 denominator= 2422 numerators:, 13321 denominator= 2440 numerators:, 244, 1342 denominator= 2442 numerators:, 444, 1443, 3441, 4440 denominator= 2444 numerators:, 7943, 13442, 18941 denominator= 2464 numerators:, 6160 denominator= 2466 numerators:, 6165, 13563, 20961 denominator= 2480 numerators:, 1085 denominator= 2485 numerators:, 5680 denominator= 2488 numerators:, 5287, 8086, 10885, 13684, 16483, 19282, 22081 denominator= 2490 numerators:, 498, 996, 1494, 1992 denominator= 2495 numerators:, 499, 998, 1497, 1996, 2994, 3493, 3992, 4491 denominator= 2532 numerators:, 633, 4431, 6330 denominator= 2550 numerators:, 255 denominator= 2553 numerators:, 555, 1554, 3552, 4551, 5550 denominator= 2555 numerators:, 7154, 11753, 16352, 20951 denominator= 2562 numerators:, 366, 1464, 3660 denominator= 2563 numerators:, 466, 1165, 1864, 3262, 3961, 4660 denominator= 2576 numerators:, 5474, 8372, 11270 denominator= 2590 numerators:, 1295 denominator= 2592 numerators:, 1296 denominator= 2594 numerators:, 1297, 3891 denominator= 2596 numerators:, 1298, 3894, 6490 denominator= 2598 numerators:, 1299, 3897, 6495, 9093, 11691 denominator= 2622 numerators:, 14421 denominator= 2644 numerators:, 14542 denominator= 2660 numerators:, 266, 665, 1064, 1463, 1862, 2261 denominator= 2664 numerators:, 666, 1665, 3663, 4662, 5661, 6660 denominator= 2665 numerators:, 1066, 4264, 5863, 7462, 9061 denominator= 2666 numerators:, 6665, 14663, 22661 denominator= 2684 numerators:, 488, 1586, 3782, 4880 denominator= 2688 numerators:, 14784 denominator= 2691 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2990 denominator= 2694 numerators:, 898, 1796, 3592, 4490 denominator= 2697 numerators:, 899, 1798, 3596, 4495, 6293, 7192, 8990 denominator= 2732 numerators:, 6830 denominator= 2743 numerators:, 844, 4642, 6541, 8440 denominator= 2770 numerators:, 277 denominator= 2775 numerators:, 777, 1776, 3774, 4773, 5772, 6771, 7770 denominator= 2790 numerators:, 1395 denominator= 2792 numerators:, 698, 1396, 2094, 3490 denominator= 2793 numerators:, 399, 798, 1197, 1596, 1995, 2394, 3192, 3591, 3990 denominator= 2794 numerators:, 1397, 4191 denominator= 2796 numerators:, 699, 1398, 2097, 3495, 4194, 4893, 6291, 6990 denominator= 2798 numerators:, 1399, 4197, 6995, 9793, 12591 denominator= 2822 numerators:, 15521 denominator= 2830 numerators:, 1132 denominator= 2844 numerators:, 9243, 15642, 22041 denominator= 2864 numerators:, 7160 denominator= 2866 numerators:, 7165, 15763, 24361 denominator= 2877 numerators:, 6576, 10275, 13974, 17673, 21372, 25071 denominator= 2880 numerators:, 288, 1584 denominator= 2886 numerators:, 888, 1887, 3885, 4884, 5883, 6882, 7881, 8880 denominator= 2888 numerators:, 9386, 15884, 22382 denominator= 2932 numerators:, 733, 5131, 7330 denominator= 2954 numerators:, 1055, 4853, 6752, 8651, 10550 denominator= 2976 numerators:, 9672 denominator= 2990 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2691 denominator= 2991 numerators:, 997, 1994 denominator= 2992 numerators:, 1496 denominator= 2994 numerators:, 499, 998, 1497, 1996, 2495, 3493, 3992, 4491, 4990 denominator= 2995 numerators:, 599, 1198, 1797, 2396, 3594, 4193, 4792, 5391 denominator= 2996 numerators:, 1498, 4494, 7490 denominator= 2997 numerators:, 999, 1998, 3996, 4995, 6993, 7992, 9990 denominator= 2998 numerators:, 1499, 4497, 7495, 10493, 13491 denominator= 3022 numerators:, 16621 denominator= 3031 numerators:, 433, 1732, 4330 denominator= 3044 numerators:, 16742 denominator= 3050 numerators:, 854, 1952 denominator= 3055 numerators:, 8554, 14053, 19552, 25051 denominator= 3060 numerators:, 765 denominator= 3064 numerators:, 766, 5362, 7660 denominator= 3066 numerators:, 7665, 16863, 26061 denominator= 3088 numerators:, 16984 denominator= 3110 numerators:, 311 denominator= 3132 numerators:, 7830 denominator= 3160 numerators:, 1264 denominator= 3165 numerators:, 1266, 5064, 6963, 8862, 10761 denominator= 3172 numerators:, 976, 2074, 4270 denominator= 3185 numerators:, 7280 denominator= 3190 numerators:, 1595 denominator= 3192 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3591, 3990 denominator= 3194 numerators:, 1597, 4791 denominator= 3196 numerators:, 799, 1598, 2397, 3995, 4794, 5593, 7191, 7990 denominator= 3198 numerators:, 1599, 4797, 7995, 11193, 14391 denominator= 3220 numerators:, 322 denominator= 3222 numerators:, 17721 denominator= 3244 numerators:, 10543, 17842, 25141 denominator= 3262 numerators:, 466, 1165, 1864, 2563, 3961, 4660 denominator= 3264 numerators:, 8160 denominator= 3266 numerators:, 8165, 17963, 27761 denominator= 3275 numerators:, 9170 denominator= 3288 numerators:, 6987, 10686, 14385, 18084, 21783, 25482, 29181 denominator= 3291 numerators:, 1097, 2194 denominator= 3294 numerators:, 1098, 2196, 4392, 5490 denominator= 3297 numerators:, 1099, 2198, 4396, 5495, 7693, 8792, 10990 denominator= 3330 numerators:, 333, 1332, 2331 denominator= 3332 numerators:, 833, 5831, 8330 denominator= 3376 numerators:, 1477, 5275, 7174, 9073, 10972, 12871, 14770 denominator= 3390 numerators:, 1695 denominator= 3392 numerators:, 1696 denominator= 3394 numerators:, 1697, 5091 denominator= 3396 numerators:, 1698, 5094, 8490 denominator= 3398 numerators:, 1699, 5097, 8495, 11893, 15291 denominator= 3421 numerators:, 622, 6220 denominator= 3422 numerators:, 18821 denominator= 3440 numerators:, 344 denominator= 3441 numerators:, 444, 1443, 2442, 4440 denominator= 3444 numerators:, 18942 denominator= 3460 numerators:, 865 denominator= 3464 numerators:, 866, 2165, 4763, 6062, 7361, 8660 denominator= 3466 numerators:, 8665, 19063, 29461 denominator= 3488 numerators:, 19184 denominator= 3490 numerators:, 698, 1396, 2094, 2792 denominator= 3493 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3992, 4491, 4990 denominator= 3495 numerators:, 699, 1398, 2097, 2796, 4194, 4893, 5592, 6291 denominator= 3532 numerators:, 8830 denominator= 3542 numerators:, 644, 6440 denominator= 3550 numerators:, 355 denominator= 3552 numerators:, 555, 1554, 2553, 4551, 5550 denominator= 3555 numerators:, 9954, 16353, 22752, 29151 denominator= 3570 numerators:, 1275 denominator= 3577 numerators:, 8176, 12775, 17374, 21973, 26572, 31171 denominator= 3587 numerators:, 1688, 5486, 7385, 9284, 11183, 13082, 14981, 16880 denominator= 3590 numerators:, 1795 denominator= 3591 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3990 denominator= 3592 numerators:, 898, 1796, 2694, 4490 denominator= 3594 numerators:, 599, 1198, 1797, 2396, 2995, 4193, 4792, 5391, 5990 denominator= 3596 numerators:, 899, 1798, 2697, 4495, 5394, 6293, 8091, 8990 denominator= 3597 numerators:, 1199, 2398, 4796, 5995, 8393, 9592, 11990 denominator= 3598 numerators:, 1799, 5397, 8995, 12593, 16191 denominator= 3622 numerators:, 19921 denominator= 3644 numerators:, 11843, 20042, 28241 denominator= 3654 numerators:, 8352, 13050 denominator= 3660 numerators:, 366, 1464, 2562 denominator= 3663 numerators:, 666, 1665, 2664, 4662, 5661, 6660 denominator= 3664 numerators:, 9160 denominator= 3665 numerators:, 1466, 5864, 8063, 10262, 12461 denominator= 3666 numerators:, 9165, 20163, 31161 denominator= 3688 numerators:, 11986, 20284, 28582 denominator= 3731 numerators:, 533, 2132, 5330 denominator= 3732 numerators:, 933, 6531, 9330 denominator= 3770 numerators:, 377 denominator= 3774 numerators:, 777, 1776, 2775, 4773, 5772, 6771, 7770 denominator= 3775 numerators:, 10570 denominator= 3776 numerators:, 12272 denominator= 3782 numerators:, 488, 1586, 2684, 4880 denominator= 3784 numerators:, 688, 6880 denominator= 3790 numerators:, 1895 denominator= 3792 numerators:, 1896 denominator= 3794 numerators:, 1897, 5691 denominator= 3796 numerators:, 1898, 5694, 9490 denominator= 3798 numerators:, 1899, 5697, 9495, 13293, 17091 denominator= 3822 numerators:, 21021 denominator= 3830 numerators:, 1532 denominator= 3844 numerators:, 21142 denominator= 3860 numerators:, 965 denominator= 3864 numerators:, 966, 6762, 9660 denominator= 3866 numerators:, 9665, 21263, 32861 denominator= 3880 numerators:, 388 denominator= 3885 numerators:, 888, 1887, 2886, 4884, 5883, 6882, 7881, 8880 denominator= 3888 numerators:, 21384 denominator= 3891 numerators:, 1297, 2594 denominator= 3894 numerators:, 1298, 2596, 5192, 6490 denominator= 3897 numerators:, 1299, 2598, 5196, 6495, 9093, 10392, 12990 denominator= 3932 numerators:, 9830 denominator= 3961 numerators:, 466, 1165, 1864, 2563, 3262, 4660 denominator= 3962 numerators:, 566, 2264, 5660 denominator= 3990 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591 denominator= 3992 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 4491, 4990 denominator= 3994 numerators:, 1997, 5991 denominator= 3995 numerators:, 799, 1598, 2397, 3196, 4794, 5593, 6392, 7191 denominator= 3996 numerators:, 999, 1998, 2997, 4995, 5994, 6993, 8991, 9990 denominator= 3998 numerators:, 1999, 5997, 9995, 13993, 17991 denominator= 4022 numerators:, 22121 denominator= 4043 numerators:, 1244, 6842, 9641, 12440 denominator= 4044 numerators:, 13143, 22242, 31341 denominator= 4055 numerators:, 11354, 18653, 25952, 33251 denominator= 4064 numerators:, 10160 denominator= 4066 numerators:, 10165, 22363, 34561 denominator= 4080 numerators:, 1785 denominator= 4088 numerators:, 8687, 13286, 17885, 22484, 27083, 31682, 36281 denominator= 4110 numerators:, 411 denominator= 4132 numerators:, 1033, 7231, 10330 denominator= 4160 numerators:, 1664 denominator= 4165 numerators:, 1666, 6664, 9163, 11662, 14161 denominator= 4176 numerators:, 8874, 13572, 18270 denominator= 4186 numerators:, 1288, 7084, 9982, 12880 denominator= 4190 numerators:, 2095 denominator= 4191 numerators:, 1397, 2794 denominator= 4192 numerators:, 2096 denominator= 4193 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4792, 5391, 5990 denominator= 4194 numerators:, 699, 1398, 2097, 2796, 3495, 4893, 5592, 6291, 6990 denominator= 4196 numerators:, 2098, 6294, 10490 denominator= 4197 numerators:, 1399, 2798, 5596, 6995, 9793, 11192, 13990 denominator= 4198 numerators:, 2099, 6297, 10495, 14693, 18891 denominator= 4220 numerators:, 422, 2321 denominator= 4222 numerators:, 23221 denominator= 4244 numerators:, 23342 denominator= 4260 numerators:, 1065 denominator= 4264 numerators:, 1066, 2665, 5863, 7462, 9061, 10660 denominator= 4266 numerators:, 10665, 23463, 36261 denominator= 4270 numerators:, 976, 2074, 3172 denominator= 4275 numerators:, 11970 denominator= 4277 numerators:, 9776, 15275, 20774, 26273, 31772, 37271 denominator= 4288 numerators:, 23584 denominator= 4330 numerators:, 433, 1732, 3031 denominator= 4332 numerators:, 10830 denominator= 4354 numerators:, 1555, 7153, 9952, 12751, 15550 denominator= 4390 numerators:, 2195 denominator= 4392 numerators:, 1098, 2196, 3294, 5490 denominator= 4394 numerators:, 2197, 6591 denominator= 4396 numerators:, 1099, 2198, 3297, 5495, 6594, 7693, 9891, 10990 denominator= 4398 numerators:, 2199, 6597, 10995, 15393, 19791 denominator= 4422 numerators:, 24321 denominator= 4431 numerators:, 633, 2532, 6330 denominator= 4440 numerators:, 444, 1443, 2442, 3441 denominator= 4444 numerators:, 14443, 24442, 34441 denominator= 4464 numerators:, 11160 denominator= 4466 numerators:, 11165, 24563, 37961 denominator= 4472 numerators:, 1376 denominator= 4488 numerators:, 14586, 24684, 34782 denominator= 4490 numerators:, 898, 1796, 2694, 3592 denominator= 4491 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4990 denominator= 4494 numerators:, 1498, 2996, 5992, 7490 denominator= 4495 numerators:, 899, 1798, 2697, 3596, 5394, 6293, 7192, 8091 denominator= 4497 numerators:, 1499, 2998, 5996, 7495, 10493, 11992, 14990 denominator= 4521 numerators:, 822, 8220 denominator= 4532 numerators:, 1133, 7931, 11330 denominator= 4550 numerators:, 455 denominator= 4551 numerators:, 555, 1554, 2553, 3552, 5550 denominator= 4555 numerators:, 12754, 20953, 29152, 37351 denominator= 4576 numerators:, 14872 denominator= 4585 numerators:, 10480 denominator= 4590 numerators:, 2295 denominator= 4592 numerators:, 2296 denominator= 4594 numerators:, 2297, 6891 denominator= 4596 numerators:, 2298, 6894, 11490 denominator= 4598 numerators:, 2299, 6897, 11495, 16093, 20691 denominator= 4622 numerators:, 25421 denominator= 4642 numerators:, 844, 2743, 6541, 8440 denominator= 4644 numerators:, 25542 denominator= 4660 numerators:, 466, 1165, 1864, 2563, 3262, 3961 denominator= 4662 numerators:, 666, 1665, 2664, 3663, 5661, 6660 denominator= 4664 numerators:, 1166, 8162, 11660 denominator= 4665 numerators:, 1866, 7464, 10263, 13062, 15861 denominator= 4666 numerators:, 11665, 25663, 39661 denominator= 4688 numerators:, 25784 denominator= 4732 numerators:, 11830 denominator= 4763 numerators:, 866, 2165, 3464, 6062, 7361, 8660 denominator= 4770 numerators:, 477 denominator= 4773 numerators:, 777, 1776, 2775, 3774, 5772, 6771, 7770 denominator= 4775 numerators:, 13370 denominator= 4790 numerators:, 2395 denominator= 4791 numerators:, 1597, 3194 denominator= 4792 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4193, 5391, 5990 denominator= 4794 numerators:, 799, 1598, 2397, 3196, 3995, 5593, 6392, 7191, 7990 denominator= 4796 numerators:, 1199, 2398, 3597, 5995, 7194, 8393, 10791, 11990 denominator= 4797 numerators:, 1599, 3198, 6396, 7995, 11193, 12792, 15990 denominator= 4798 numerators:, 2399, 7197, 11995, 16793, 21591 denominator= 4822 numerators:, 26521 denominator= 4830 numerators:, 1932 denominator= 4844 numerators:, 15743, 26642, 37541 denominator= 4853 numerators:, 1055, 2954, 6752, 8651, 10550 denominator= 4864 numerators:, 12160 denominator= 4866 numerators:, 12165, 26763, 41361 denominator= 4880 numerators:, 488, 1586, 2684, 3782 denominator= 4884 numerators:, 888, 1887, 2886, 3885, 5883, 6882, 7881, 8880 denominator= 4888 numerators:, 10387, 15886, 21385, 26884, 32383, 37882, 43381 denominator= 4893 numerators:, 699, 1398, 2097, 2796, 3495, 4194, 5592, 6291, 6990 denominator= 4932 numerators:, 1233, 8631, 12330 denominator= 4970 numerators:, 1775 denominator= 4976 numerators:, 2177, 7775, 10574, 13373, 16172, 18971, 21770 denominator= 4977 numerators:, 11376, 17775, 24174, 30573, 36972, 43371 denominator= 4990 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491 denominator= 4992 numerators:, 2496 denominator= 4994 numerators:, 2497, 7491 denominator= 4995 numerators:, 999, 1998, 2997, 3996, 5994, 6993, 7992, 8991 denominator= 4996 numerators:, 2498, 7494, 12490 denominator= 4998 numerators:, 2499, 7497, 12495, 17493, 22491 denominator= 5022 numerators:, 27621 denominator= 5044 numerators:, 27742 denominator= 5054 numerators:, 11552, 18050 denominator= 5055 numerators:, 14154, 23253, 32352, 41451 denominator= 5060 numerators:, 1265 denominator= 5064 numerators:, 1266, 3165, 6963, 8862, 10761, 12660 denominator= 5066 numerators:, 12665, 27863, 43061 denominator= 5088 numerators:, 27984 denominator= 5091 numerators:, 1697, 3394 denominator= 5094 numerators:, 1698, 3396, 6792, 8490 denominator= 5097 numerators:, 1699, 3398, 6796, 8495, 11893, 13592, 16990 denominator= 5110 numerators:, 511 denominator= 5131 numerators:, 733, 2932, 7330 denominator= 5132 numerators:, 12830 denominator= 5152 numerators:, 2254, 8050 denominator= 5160 numerators:, 2064 denominator= 5165 numerators:, 2066, 8264, 11363, 14462, 17561 denominator= 5190 numerators:, 2595 denominator= 5192 numerators:, 1298, 2596, 3894, 6490 denominator= 5194 numerators:, 2597, 7791 denominator= 5196 numerators:, 1299, 2598, 3897, 6495, 7794, 9093, 11691, 12990 denominator= 5198 numerators:, 2599, 7797, 12995, 18193, 23391 denominator= 5220 numerators:, 522 denominator= 5222 numerators:, 28721 denominator= 5244 numerators:, 17043, 28842, 40641 denominator= 5264 numerators:, 13160 denominator= 5266 numerators:, 13165, 28963, 44761 denominator= 5275 numerators:, 1477, 3376, 7174, 9073, 10972, 12871, 14770 denominator= 5285 numerators:, 12080 denominator= 5287 numerators:, 2488, 8086, 10885, 13684, 16483, 19282, 22081, 24880 denominator= 5288 numerators:, 17186, 29084, 40982 denominator= 5330 numerators:, 533, 2132, 3731 denominator= 5332 numerators:, 1333, 9331, 13330 denominator= 5343 numerators:, 1644, 9042, 12741, 16440 denominator= 5362 numerators:, 766, 3064, 7660 denominator= 5376 numerators:, 17472 denominator= 5390 numerators:, 2695 denominator= 5391 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4193, 4792, 5990 denominator= 5392 numerators:, 2696 denominator= 5394 numerators:, 899, 1798, 2697, 3596, 4495, 6293, 7192, 8091, 8990 denominator= 5396 numerators:, 2698, 8094, 13490 denominator= 5397 numerators:, 1799, 3598, 7196, 8995, 12593, 14392, 17990 denominator= 5398 numerators:, 2699, 8097, 13495, 18893, 24291 denominator= 5422 numerators:, 29821 denominator= 5440 numerators:, 544 denominator= 5444 numerators:, 29942 denominator= 5460 numerators:, 1365 denominator= 5464 numerators:, 1366, 9562, 13660 denominator= 5466 numerators:, 13665, 30063, 46461 denominator= 5474 numerators:, 2576, 8372, 11270 denominator= 5486 numerators:, 1688, 3587, 7385, 9284, 11183, 13082, 14981, 16880 denominator= 5488 numerators:, 30184 denominator= 5490 numerators:, 1098, 2196, 3294, 4392 denominator= 5495 numerators:, 1099, 2198, 3297, 4396, 6594, 7693, 8792, 9891 denominator= 5532 numerators:, 13830 denominator= 5550 numerators:, 555, 1554, 2553, 3552, 4551 denominator= 5555 numerators:, 15554, 25553, 35552, 45551 denominator= 5590 numerators:, 2795 denominator= 5592 numerators:, 699, 1398, 2097, 2796, 3495, 4194, 4893, 6291, 6990 denominator= 5593 numerators:, 799, 1598, 2397, 3196, 3995, 4794, 6392, 7191, 7990 denominator= 5594 numerators:, 2797, 8391 denominator= 5596 numerators:, 1399, 2798, 4197, 6995, 8394, 9793, 12591, 13990 denominator= 5598 numerators:, 2799, 8397, 13995, 19593, 25191 denominator= 5621 numerators:, 1022, 10220 denominator= 5622 numerators:, 30921 denominator= 5644 numerators:, 18343, 31042, 43741 denominator= 5660 numerators:, 566, 2264, 3962 denominator= 5661 numerators:, 666, 1665, 2664, 3663, 4662, 6660 denominator= 5664 numerators:, 14160 denominator= 5665 numerators:, 2266, 9064, 12463, 15862, 19261 denominator= 5666 numerators:, 14165, 31163, 48161 denominator= 5677 numerators:, 12976, 20275, 27574, 34873, 42172, 49471 denominator= 5680 numerators:, 2485 denominator= 5688 numerators:, 12087, 18486, 24885, 31284, 37683, 44082, 50481 denominator= 5691 numerators:, 1897, 3794 denominator= 5694 numerators:, 1898, 3796, 7592, 9490 denominator= 5697 numerators:, 1899, 3798, 7596, 9495, 13293, 15192, 18990 denominator= 5732 numerators:, 1433, 10031, 14330 denominator= 5742 numerators:, 1044, 10440 denominator= 5754 numerators:, 2055, 9453, 13152, 16851, 20550 denominator= 5770 numerators:, 577 denominator= 5772 numerators:, 777, 1776, 2775, 3774, 4773, 6771, 7770 denominator= 5775 numerators:, 16170 denominator= 5776 numerators:, 12274, 18772, 25270 denominator= 5790 numerators:, 2895 denominator= 5792 numerators:, 2896 denominator= 5794 numerators:, 2897, 8691 denominator= 5796 numerators:, 2898, 8694, 14490 denominator= 5798 numerators:, 2899, 8697, 14495, 20293, 26091 denominator= 5822 numerators:, 32021 denominator= 5830 numerators:, 2332 denominator= 5831 numerators:, 833, 3332, 8330 denominator= 5844 numerators:, 32142 denominator= 5860 numerators:, 1465 denominator= 5863 numerators:, 1066, 2665, 4264, 7462, 9061, 10660 denominator= 5864 numerators:, 1466, 3665, 8063, 10262, 12461, 14660 denominator= 5866 numerators:, 14665, 32263, 49861 denominator= 5880 numerators:, 588 denominator= 5883 numerators:, 888, 1887, 2886, 3885, 4884, 6882, 7881, 8880 denominator= 5888 numerators:, 32384 denominator= 5932 numerators:, 14830 denominator= 5984 numerators:, 1088, 10880 denominator= 5985 numerators:, 13680 denominator= 5990 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4193, 4792, 5391 denominator= 5991 numerators:, 1997, 3994 denominator= 5992 numerators:, 1498, 2996, 4494, 7490 denominator= 5994 numerators:, 999, 1998, 2997, 3996, 4995, 6993, 7992, 8991, 9990 denominator= 5995 numerators:, 1199, 2398, 3597, 4796, 7194, 8393, 9592, 10791 denominator= 5996 numerators:, 1499, 2998, 4497, 7495, 8994, 10493, 13491, 14990 denominator= 5997 numerators:, 1999, 3998, 7996, 9995, 13993, 15992, 19990 denominator= 5998 numerators:, 2999, 8997, 14995, 20993, 26991 denominator= 6022 numerators:, 33121 denominator= 6044 numerators:, 19643, 33242, 46841 denominator= 6055 numerators:, 16954, 27853, 38752, 49651 denominator= 6062 numerators:, 866, 2165, 3464, 4763, 7361, 8660 denominator= 6064 numerators:, 15160 denominator= 6066 numerators:, 15165, 33363, 51561 denominator= 6088 numerators:, 19786, 33484, 47182 denominator= 6110 numerators:, 611 denominator= 6132 numerators:, 1533, 10731, 15330 denominator= 6160 numerators:, 2464 denominator= 6165 numerators:, 2466, 9864, 13563, 17262, 20961 denominator= 6176 numerators:, 20072 denominator= 6190 numerators:, 3095 denominator= 6192 numerators:, 3096 denominator= 6194 numerators:, 3097, 9291 denominator= 6196 numerators:, 3098, 9294, 15490 denominator= 6198 numerators:, 3099, 9297, 15495, 21693, 27891 denominator= 6220 numerators:, 622, 3421 denominator= 6222 numerators:, 34221 denominator= 6244 numerators:, 34342 denominator= 6260 numerators:, 1565 denominator= 6264 numerators:, 1566, 10962, 15660 denominator= 6266 numerators:, 15665, 34463, 53261 denominator= 6275 numerators:, 17570 denominator= 6288 numerators:, 34584 denominator= 6291 numerators:, 699, 1398, 2097, 2796, 3495, 4194, 4893, 5592, 6990 denominator= 6293 numerators:, 899, 1798, 2697, 3596, 4495, 5394, 7192, 8091, 8990 denominator= 6294 numerators:, 2098, 4196, 8392, 10490 denominator= 6297 numerators:, 2099, 4198, 8396, 10495, 14693, 16792, 20990 denominator= 6330 numerators:, 633, 2532, 4431 denominator= 6332 numerators:, 15830 denominator= 6370 numerators:, 2275 denominator= 6377 numerators:, 14576, 22775, 30974, 39173, 47372, 55571 denominator= 6390 numerators:, 3195 denominator= 6392 numerators:, 799, 1598, 2397, 3196, 3995, 4794, 5593, 7191, 7990 denominator= 6394 numerators:, 3197, 9591 denominator= 6396 numerators:, 1599, 3198, 4797, 7995, 9594, 11193, 14391, 15990 denominator= 6398 numerators:, 3199, 9597, 15995, 22393, 28791 denominator= 6422 numerators:, 35321 denominator= 6440 numerators:, 644, 3542 denominator= 6444 numerators:, 20943, 35442, 49941 denominator= 6454 numerators:, 14752, 23050 denominator= 6464 numerators:, 16160 denominator= 6466 numerators:, 16165, 35563, 54961 denominator= 6488 numerators:, 13787, 21086, 28385, 35684, 42983, 50282, 57581 denominator= 6490 numerators:, 1298, 2596, 3894, 5192 denominator= 6495 numerators:, 1299, 2598, 3897, 5196, 7794, 9093, 10392, 11691 denominator= 6531 numerators:, 933, 3732, 9330 denominator= 6532 numerators:, 1633, 11431, 16330 denominator= 6541 numerators:, 844, 2743, 4642, 8440 denominator= 6550 numerators:, 655 denominator= 6555 numerators:, 18354, 30153, 41952, 53751 denominator= 6576 numerators:, 2877, 10275, 13974, 17673, 21372, 25071, 28770 denominator= 6590 numerators:, 3295 denominator= 6591 numerators:, 2197, 4394 denominator= 6592 numerators:, 3296 denominator= 6594 numerators:, 1099, 2198, 3297, 4396, 5495, 7693, 8792, 9891, 10990 denominator= 6596 numerators:, 3298, 9894, 16490 denominator= 6597 numerators:, 2199, 4398, 8796, 10995, 15393, 17592, 21990 denominator= 6598 numerators:, 3299, 9897, 16495, 23093, 29691 denominator= 6622 numerators:, 36421 denominator= 6643 numerators:, 2044, 11242, 15841, 20440 denominator= 6644 numerators:, 36542 denominator= 6660 numerators:, 666, 1665, 2664, 3663, 4662, 5661 denominator= 6664 numerators:, 1666, 4165, 9163, 11662, 14161, 16660 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661 denominator= 6666 numerators:, 16665, 36663, 56661 denominator= 6685 numerators:, 15280 denominator= 6688 numerators:, 36784 denominator= 6721 numerators:, 1222, 12220 denominator= 6732 numerators:, 16830 denominator= 6752 numerators:, 1055, 2954, 4853, 8651, 10550 denominator= 6762 numerators:, 966, 3864, 9660 denominator= 6770 numerators:, 677 denominator= 6771 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 7770 denominator= 6775 numerators:, 18970 denominator= 6786 numerators:, 2088, 11484, 16182, 20880 denominator= 6790 numerators:, 3395 denominator= 6792 numerators:, 1698, 3396, 5094, 8490 denominator= 6794 numerators:, 3397, 10191 denominator= 6796 numerators:, 1699, 3398, 5097, 8495, 10194, 11893, 15291, 16990 denominator= 6798 numerators:, 3399, 10197, 16995, 23793, 30591 denominator= 6822 numerators:, 37521 denominator= 6830 numerators:, 2732 denominator= 6842 numerators:, 1244, 4043, 9641, 12440 denominator= 6844 numerators:, 22243, 37642, 53041 denominator= 6864 numerators:, 17160 denominator= 6866 numerators:, 17165, 37763, 58361 denominator= 6880 numerators:, 688, 3784 denominator= 6882 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 7881, 8880 denominator= 6888 numerators:, 22386, 37884, 53382 denominator= 6891 numerators:, 2297, 4594 denominator= 6894 numerators:, 2298, 4596, 9192, 11490 denominator= 6897 numerators:, 2299, 4598, 9196, 11495, 16093, 18392, 22990 denominator= 6932 numerators:, 1733, 12131, 17330 denominator= 6963 numerators:, 1266, 3165, 5064, 8862, 10761, 12660 denominator= 6976 numerators:, 22672 denominator= 6987 numerators:, 3288, 10686, 14385, 18084, 21783, 25482, 29181, 32880 denominator= 6990 numerators:, 699, 1398, 2097, 2796, 3495, 4194, 4893, 5592, 6291 denominator= 6992 numerators:, 3496 denominator= 6993 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 7992, 8991, 9990 denominator= 6994 numerators:, 3497, 10491 denominator= 6995 numerators:, 1399, 2798, 4197, 5596, 8394, 9793, 11192, 12591 denominator= 6996 numerators:, 3498, 10494, 17490 denominator= 6998 numerators:, 3499, 10497, 17495, 24493, 31491 denominator= 7022 numerators:, 38621 denominator= 7044 numerators:, 38742 denominator= 7055 numerators:, 19754, 32453, 45152, 57851 denominator= 7060 numerators:, 1765 denominator= 7064 numerators:, 1766, 12362, 17660 denominator= 7066 numerators:, 17665, 38863, 60061 denominator= 7072 numerators:, 2176 denominator= 7077 numerators:, 16176, 25275, 34374, 43473, 52572, 61671 denominator= 7084 numerators:, 1288, 4186, 9982, 12880 denominator= 7088 numerators:, 38984 denominator= 7110 numerators:, 711 denominator= 7132 numerators:, 17830 denominator= 7153 numerators:, 1555, 4354, 9952, 12751, 15550 denominator= 7154 numerators:, 2555, 11753, 16352, 20951, 25550 denominator= 7160 numerators:, 2864 denominator= 7165 numerators:, 2866, 11464, 15763, 20062, 24361 denominator= 7174 numerators:, 1477, 3376, 5275, 9073, 10972, 12871, 14770 denominator= 7190 numerators:, 3595 denominator= 7191 numerators:, 799, 1598, 2397, 3196, 3995, 4794, 5593, 6392, 7990 denominator= 7192 numerators:, 899, 1798, 2697, 3596, 4495, 5394, 6293, 8091, 8990 denominator= 7194 numerators:, 1199, 2398, 3597, 4796, 5995, 8393, 9592, 10791, 11990 denominator= 7196 numerators:, 1799, 3598, 5397, 8995, 10794, 12593, 16191, 17990 denominator= 7197 numerators:, 2399, 4798, 9596, 11995, 16793, 19192, 23990 denominator= 7198 numerators:, 3599, 10797, 17995, 25193, 32391 denominator= 7220 numerators:, 722 denominator= 7222 numerators:, 39721 denominator= 7231 numerators:, 1033, 4132, 10330 denominator= 7244 numerators:, 23543, 39842, 56141 denominator= 7264 numerators:, 18160 denominator= 7266 numerators:, 18165, 39963, 61761 denominator= 7275 numerators:, 20370 denominator= 7280 numerators:, 3185 denominator= 7288 numerators:, 15487, 23686, 31885, 40084, 48283, 56482, 64681 denominator= 7330 numerators:, 733, 2932, 5131 denominator= 7332 numerators:, 1833, 12831, 18330 denominator= 7361 numerators:, 866, 2165, 3464, 4763, 6062, 8660 denominator= 7376 numerators:, 15674, 23972, 32270 denominator= 7385 numerators:, 1688, 3587, 5486, 9284, 11183, 13082, 14981, 16880 denominator= 7390 numerators:, 3695 denominator= 7392 numerators:, 3696 denominator= 7394 numerators:, 3697, 11091 denominator= 7396 numerators:, 3698, 11094, 18490 denominator= 7398 numerators:, 3699, 11097, 18495, 25893, 33291 denominator= 7422 numerators:, 40821 denominator= 7440 numerators:, 744 denominator= 7444 numerators:, 40942 denominator= 7460 numerators:, 1865 denominator= 7462 numerators:, 1066, 2665, 4264, 5863, 9061, 10660 denominator= 7464 numerators:, 1866, 4665, 10263, 13062, 15861, 18660 denominator= 7466 numerators:, 18665, 41063, 63461 denominator= 7488 numerators:, 41184 denominator= 7490 numerators:, 1498, 2996, 4494, 5992 denominator= 7491 numerators:, 2497, 4994 denominator= 7494 numerators:, 2498, 4996, 9992, 12490 denominator= 7495 numerators:, 1499, 2998, 4497, 5996, 8994, 10493, 11992, 13491 denominator= 7497 numerators:, 2499, 4998, 9996, 12495, 17493, 19992, 24990 denominator= 7532 numerators:, 18830 denominator= 7550 numerators:, 755 denominator= 7555 numerators:, 21154, 34753, 48352, 61951 denominator= 7590 numerators:, 3795 denominator= 7592 numerators:, 1898, 3796, 5694, 9490 denominator= 7594 numerators:, 3797, 11391 denominator= 7596 numerators:, 1899, 3798, 5697, 9495, 11394, 13293, 17091, 18990 denominator= 7598 numerators:, 3799, 11397, 18995, 26593, 34191 denominator= 7622 numerators:, 41921 denominator= 7644 numerators:, 24843, 42042, 59241 denominator= 7660 numerators:, 766, 3064, 5362 denominator= 7664 numerators:, 19160 denominator= 7665 numerators:, 3066, 12264, 16863, 21462, 26061 denominator= 7666 numerators:, 19165, 42163, 65161 denominator= 7688 numerators:, 24986, 42284, 59582 denominator= 7693 numerators:, 1099, 2198, 3297, 4396, 5495, 6594, 8792, 9891, 10990 denominator= 7732 numerators:, 1933, 13531, 19330 denominator= 7770 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 7775 numerators:, 2177, 4976, 10574, 13373, 16172, 18971, 21770 denominator= 7776 numerators:, 25272 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771 denominator= 7790 numerators:, 3895 denominator= 7791 numerators:, 2597, 5194 denominator= 7792 numerators:, 3896 denominator= 7794 numerators:, 1299, 2598, 3897, 5196, 6495, 9093, 10392, 11691, 12990 denominator= 7796 numerators:, 3898, 11694, 19490 denominator= 7797 numerators:, 2599, 5198, 10396, 12995, 18193, 20792, 25990 denominator= 7798 numerators:, 3899, 11697, 19495, 27293, 35091 denominator= 7821 numerators:, 1422, 14220 denominator= 7822 numerators:, 43021 denominator= 7830 numerators:, 3132 denominator= 7844 numerators:, 43142 denominator= 7854 numerators:, 17952, 28050 denominator= 7860 numerators:, 1965 denominator= 7864 numerators:, 1966, 13762, 19660 denominator= 7866 numerators:, 19665, 43263, 66861 denominator= 7880 numerators:, 788 denominator= 7881 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 8880 denominator= 7888 numerators:, 43384 denominator= 7931 numerators:, 1133, 4532, 11330 denominator= 7932 numerators:, 19830 denominator= 7942 numerators:, 1444, 14440 denominator= 7943 numerators:, 2444, 13442, 18941, 24440 denominator= 7990 numerators:, 799, 1598, 2397, 3196, 3995, 4794, 5593, 6392, 7191 denominator= 7992 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 8991, 9990 denominator= 7994 numerators:, 3997, 11991 denominator= 7995 numerators:, 1599, 3198, 4797, 6396, 9594, 11193, 12792, 14391 denominator= 7996 numerators:, 1999, 3998, 5997, 9995, 11994, 13993, 17991, 19990 denominator= 7998 numerators:, 3999, 11997, 19995, 27993, 35991 denominator= 8022 numerators:, 44121 denominator= 8044 numerators:, 26143, 44242, 62341 denominator= 8050 numerators:, 2254, 5152 denominator= 8055 numerators:, 22554, 37053, 51552, 66051 denominator= 8063 numerators:, 1466, 3665, 5864, 10262, 12461, 14660 denominator= 8064 numerators:, 20160 denominator= 8066 numerators:, 20165, 44363, 68561 denominator= 8085 numerators:, 18480 denominator= 8086 numerators:, 2488, 5287, 10885, 13684, 16483, 19282, 22081, 24880 denominator= 8088 numerators:, 17187, 26286, 35385, 44484, 53583, 62682, 71781 denominator= 8091 numerators:, 899, 1798, 2697, 3596, 4495, 5394, 6293, 7192, 8990 denominator= 8094 numerators:, 2698, 5396, 10792, 13490 denominator= 8097 numerators:, 2699, 5398, 10796, 13495, 18893, 21592, 26990 denominator= 8110 numerators:, 811 denominator= 8132 numerators:, 2033, 14231, 20330 denominator= 8160 numerators:, 3264 denominator= 8162 numerators:, 1166, 4664, 11660 denominator= 8165 numerators:, 3266, 13064, 17963, 22862, 27761 denominator= 8176 numerators:, 3577, 12775, 17374, 21973, 26572, 31171, 35770 denominator= 8184 numerators:, 1488, 14880 denominator= 8190 numerators:, 4095 denominator= 8192 numerators:, 4096 denominator= 8194 numerators:, 4097, 12291 denominator= 8196 numerators:, 4098, 12294, 20490 denominator= 8198 numerators:, 4099, 12297, 20495, 28693, 36891 denominator= 8220 numerators:, 822, 4521 denominator= 8222 numerators:, 45221 denominator= 8244 numerators:, 45342 denominator= 8260 numerators:, 2065 denominator= 8264 numerators:, 2066, 5165, 11363, 14462, 17561, 20660 denominator= 8266 numerators:, 20665, 45463, 70261 denominator= 8275 numerators:, 23170 denominator= 8288 numerators:, 45584 denominator= 8330 numerators:, 833, 3332, 5831 denominator= 8332 numerators:, 20830 denominator= 8352 numerators:, 3654, 13050 denominator= 8372 numerators:, 2576, 5474, 11270 denominator= 8390 numerators:, 4195 denominator= 8391 numerators:, 2797, 5594 denominator= 8392 numerators:, 2098, 4196, 6294, 10490 denominator= 8393 numerators:, 1199, 2398, 3597, 4796, 5995, 7194, 9592, 10791, 11990 denominator= 8394 numerators:, 1399, 2798, 4197, 5596, 6995, 9793, 11192, 12591, 13990 denominator= 8396 numerators:, 2099, 4198, 6297, 10495, 12594, 14693, 18891, 20990 denominator= 8397 numerators:, 2799, 5598, 11196, 13995, 19593, 22392, 27990 denominator= 8398 numerators:, 4199, 12597, 20995, 29393, 37791 denominator= 8422 numerators:, 46321 denominator= 8440 numerators:, 844, 2743, 4642, 6541 denominator= 8444 numerators:, 27443, 46442, 65441 denominator= 8464 numerators:, 21160 denominator= 8466 numerators:, 21165, 46563, 71961 denominator= 8477 numerators:, 19376, 30275, 41174, 52073, 62972, 73871 denominator= 8488 numerators:, 27586, 46684, 65782 denominator= 8490 numerators:, 1698, 3396, 5094, 6792 denominator= 8495 numerators:, 1699, 3398, 5097, 6796, 10194, 11893, 13592, 15291 denominator= 8532 numerators:, 2133, 14931, 21330 denominator= 8550 numerators:, 855 denominator= 8554 numerators:, 3055, 14053, 19552, 25051, 30550 denominator= 8555 numerators:, 23954, 39353, 54752, 70151 denominator= 8576 numerators:, 27872 denominator= 8590 numerators:, 4295 denominator= 8592 numerators:, 4296 denominator= 8594 numerators:, 4297, 12891 denominator= 8596 numerators:, 4298, 12894, 21490 denominator= 8598 numerators:, 4299, 12897, 21495, 30093, 38691 denominator= 8622 numerators:, 47421 denominator= 8631 numerators:, 1233, 4932, 12330 denominator= 8644 numerators:, 47542 denominator= 8651 numerators:, 1055, 2954, 4853, 6752, 10550 denominator= 8660 numerators:, 866, 2165, 3464, 4763, 6062, 7361 denominator= 8664 numerators:, 2166, 15162, 21660 denominator= 8665 numerators:, 3466, 13864, 19063, 24262, 29461 denominator= 8666 numerators:, 21665, 47663, 73661 denominator= 8687 numerators:, 4088, 13286, 17885, 22484, 27083, 31682, 36281, 40880 denominator= 8688 numerators:, 47784 denominator= 8691 numerators:, 2897, 5794 denominator= 8694 numerators:, 2898, 5796, 11592, 14490 denominator= 8697 numerators:, 2899, 5798, 11596, 14495, 20293, 23192, 28990 denominator= 8732 numerators:, 21830 denominator= 8770 numerators:, 877 denominator= 8775 numerators:, 24570 denominator= 8785 numerators:, 20080 denominator= 8790 numerators:, 4395 denominator= 8792 numerators:, 1099, 2198, 3297, 4396, 5495, 6594, 7693, 9891, 10990 denominator= 8794 numerators:, 4397, 13191 denominator= 8796 numerators:, 2199, 4398, 6597, 10995, 13194, 15393, 19791, 21990 denominator= 8798 numerators:, 4399, 13197, 21995, 30793, 39591 denominator= 8822 numerators:, 48521 denominator= 8830 numerators:, 3532 denominator= 8844 numerators:, 28743, 48642, 68541 denominator= 8862 numerators:, 1266, 3165, 5064, 6963, 10761, 12660 denominator= 8864 numerators:, 22160 denominator= 8866 numerators:, 22165, 48763, 75361 denominator= 8874 numerators:, 4176, 13572, 18270 denominator= 8880 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881 denominator= 8921 numerators:, 1622, 16220 denominator= 8932 numerators:, 2233, 15631, 22330 denominator= 8976 numerators:, 19074, 29172, 39270 denominator= 8990 numerators:, 899, 1798, 2697, 3596, 4495, 5394, 6293, 7192, 8091 denominator= 8991 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 7992, 9990 denominator= 8992 numerators:, 4496 denominator= 8994 numerators:, 1499, 2998, 4497, 5996, 7495, 10493, 11992, 13491, 14990 denominator= 8995 numerators:, 1799, 3598, 5397, 7196, 10794, 12593, 14392, 16191 denominator= 8996 numerators:, 4498, 13494, 22490 denominator= 8997 numerators:, 2999, 5998, 11996, 14995, 20993, 23992, 29990 denominator= 8998 numerators:, 4499, 13497, 22495, 31493, 40491 denominator= 9022 numerators:, 49621 denominator= 9042 numerators:, 1644, 5343, 12741, 16440 denominator= 9044 numerators:, 49742 denominator= 9055 numerators:, 25354, 41653, 57952, 74251 denominator= 9060 numerators:, 2265 denominator= 9061 numerators:, 1066, 2665, 4264, 5863, 7462, 10660 denominator= 9064 numerators:, 2266, 5665, 12463, 15862, 19261, 22660 denominator= 9066 numerators:, 22665, 49863, 77061 denominator= 9073 numerators:, 1477, 3376, 5275, 7174, 10972, 12871, 14770 denominator= 9088 numerators:, 49984 denominator= 9093 numerators:, 1299, 2598, 3897, 5196, 6495, 7794, 10392, 11691, 12990 denominator= 9110 numerators:, 911 denominator= 9132 numerators:, 22830 denominator= 9160 numerators:, 3664 denominator= 9163 numerators:, 1666, 4165, 6664, 11662, 14161, 16660 denominator= 9165 numerators:, 3666, 14664, 20163, 25662, 31161 denominator= 9170 numerators:, 3275 denominator= 9177 numerators:, 20976, 32775, 44574, 56373, 68172, 79971 denominator= 9190 numerators:, 4595 denominator= 9192 numerators:, 2298, 4596, 6894, 11490 denominator= 9194 numerators:, 4597, 13791 denominator= 9196 numerators:, 2299, 4598, 6897, 11495, 13794, 16093, 20691, 22990 denominator= 9198 numerators:, 4599, 13797, 22995, 32193, 41391 denominator= 9220 numerators:, 922 denominator= 9222 numerators:, 50721 denominator= 9243 numerators:, 2844, 15642, 22041, 28440 denominator= 9244 numerators:, 30043, 50842, 71641 denominator= 9254 numerators:, 21152, 33050 denominator= 9264 numerators:, 23160 denominator= 9266 numerators:, 23165, 50963, 78761 denominator= 9275 numerators:, 25970 denominator= 9284 numerators:, 1688, 3587, 5486, 7385, 11183, 13082, 14981, 16880 denominator= 9288 numerators:, 30186, 51084, 71982 denominator= 9291 numerators:, 3097, 6194 denominator= 9294 numerators:, 3098, 6196, 12392, 15490 denominator= 9297 numerators:, 3099, 6198, 12396, 15495, 21693, 24792, 30990 denominator= 9330 numerators:, 933, 3732, 6531 denominator= 9331 numerators:, 1333, 5332, 13330 denominator= 9332 numerators:, 2333, 16331, 23330 denominator= 9376 numerators:, 30472 denominator= 9386 numerators:, 2888, 15884, 22382, 28880 denominator= 9390 numerators:, 4695 denominator= 9392 numerators:, 4696 denominator= 9394 numerators:, 4697, 14091 denominator= 9396 numerators:, 4698, 14094, 23490 denominator= 9398 numerators:, 4699, 14097, 23495, 32893, 42291 denominator= 9422 numerators:, 51821 denominator= 9440 numerators:, 944 denominator= 9444 numerators:, 51942 denominator= 9453 numerators:, 2055, 5754, 13152, 16851, 20550 denominator= 9460 numerators:, 2365 denominator= 9464 numerators:, 2366, 16562, 23660 denominator= 9466 numerators:, 23665, 52063, 80461 denominator= 9485 numerators:, 21680 denominator= 9488 numerators:, 52184 denominator= 9490 numerators:, 1898, 3796, 5694, 7592 denominator= 9495 numerators:, 1899, 3798, 5697, 7596, 11394, 13293, 15192, 17091 denominator= 9532 numerators:, 23830 denominator= 9550 numerators:, 955 denominator= 9555 numerators:, 26754, 43953, 61152, 78351 denominator= 9562 numerators:, 1366, 5464, 13660 denominator= 9590 numerators:, 4795 denominator= 9591 numerators:, 3197, 6394 denominator= 9592 numerators:, 1199, 2398, 3597, 4796, 5995, 7194, 8393, 10791, 11990 denominator= 9594 numerators:, 1599, 3198, 4797, 6396, 7995, 11193, 12792, 14391, 15990 denominator= 9596 numerators:, 2399, 4798, 7197, 11995, 14394, 16793, 21591, 23990 denominator= 9597 numerators:, 3199, 6398, 12796, 15995, 22393, 25592, 31990 denominator= 9598 numerators:, 4799, 14397, 23995, 33593, 43191 denominator= 9622 numerators:, 52921 denominator= 9641 numerators:, 1244, 4043, 6842, 12440 denominator= 9644 numerators:, 31343, 53042, 74741 denominator= 9660 numerators:, 966, 3864, 6762 denominator= 9664 numerators:, 24160 denominator= 9665 numerators:, 3866, 15464, 21263, 27062, 32861 denominator= 9666 numerators:, 24165, 53163, 82161 denominator= 9672 numerators:, 2976 denominator= 9688 numerators:, 20587, 31486, 42385, 53284, 64183, 75082, 85981 denominator= 9732 numerators:, 2433, 17031, 24330 denominator= 9770 numerators:, 977 denominator= 9775 numerators:, 27370 denominator= 9776 numerators:, 4277, 15275, 20774, 26273, 31772, 37271, 42770 denominator= 9790 numerators:, 4895 denominator= 9792 numerators:, 4896 denominator= 9793 numerators:, 1399, 2798, 4197, 5596, 6995, 8394, 11192, 12591, 13990 denominator= 9794 numerators:, 4897, 14691 denominator= 9796 numerators:, 4898, 14694, 24490 denominator= 9798 numerators:, 4899, 14697, 24495, 34293, 44091 denominator= 9822 numerators:, 54021 denominator= 9830 numerators:, 3932 denominator= 9844 numerators:, 54142 denominator= 9860 numerators:, 2465 denominator= 9864 numerators:, 2466, 6165, 13563, 17262, 20961, 24660 denominator= 9866 numerators:, 24665, 54263, 83861 denominator= 9877 numerators:, 22576, 35275, 47974, 60673, 73372, 86071 denominator= 9880 numerators:, 988 denominator= 9888 numerators:, 54384 denominator= 9891 numerators:, 1099, 2198, 3297, 4396, 5495, 6594, 7693, 8792, 10990 denominator= 9894 numerators:, 3298, 6596, 13192, 16490 denominator= 9897 numerators:, 3299, 6598, 13196, 16495, 23093, 26392, 32990 denominator= 9932 numerators:, 24830 denominator= 9952 numerators:, 1555, 4354, 7153, 12751, 15550 denominator= 9954 numerators:, 3555, 16353, 22752, 29151, 35550 denominator= 9982 numerators:, 1288, 4186, 7084, 12880 denominator= 9990 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 7992, 8991 denominator= 9992 numerators:, 2498, 4996, 7494, 12490 denominator= 9994 numerators:, 4997, 14991 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991 denominator= 9996 numerators:, 2499, 4998, 7497, 12495, 14994, 17493, 22491, 24990 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991 ------------------------------------------------------------------------- Section 7 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 1022 numerators:, 33215, 79205 denominator= 1060 numerators:, 2650, 6625 denominator= 1062 numerators:, 2655 denominator= 1064 numerators:, 665, 2660, 4655, 6650, 8645, 12635, 14630, 16625, 18620, 20615, 22610, 24605 denominator= 1066 numerators:, 2665, 18655, 34645, 50635, 66625, 82615, 98605 denominator= 1085 numerators:, 3875, 17825, 24800 denominator= 1154 numerators:, 37505 denominator= 1162 numerators:, 664, 1660, 2656, 3652, 5644, 6640, 7636, 8632, 9628, 10624, 12616, 13612, 14608, 15604, 16600 denominator= 1190 numerators:, 2975, 8925 denominator= 1191 numerators:, 1985, 3970, 7940, 9925 denominator= 1192 numerators:, 2980, 8940, 14900 denominator= 1194 numerators:, 995, 1990, 2985, 3980, 4975, 6965, 7960, 8955, 9950, 10945, 12935, 13930, 14925, 15920, 16915, 18905, 19900 denominator= 1196 numerators:, 2990, 8970, 14950, 20930, 26910 denominator= 1197 numerators:, 1995, 3990, 7980, 9975, 13965, 15960, 19950, 21945, 25935, 27930, 31920, 33915, 37905, 39900 denominator= 1198 numerators:, 2995, 8985, 14975, 20965, 26955, 32945, 38935, 44925, 50915, 56905 denominator= 1240 numerators:, 5425 denominator= 1244 numerators:, 26435, 40430, 54425, 82415, 96410, 110405 denominator= 1288 numerators:, 41860, 99820 denominator= 1330 numerators:, 3325, 7315, 11305 denominator= 1342 numerators:, 2440, 24400 denominator= 1376 numerators:, 44720 denominator= 1380 numerators:, 3864, 8832 denominator= 1385 numerators:, 3878, 8864, 18836, 23822, 28808 denominator= 1393 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 7960, 8955, 9950, 10945, 11940, 12935, 14925, 15920, 16915, 17910, 18905, 19900 denominator= 1422 numerators:, 46215, 110205 denominator= 1460 numerators:, 3650 denominator= 1462 numerators:, 3655 denominator= 1463 numerators:, 665, 2660, 4655, 6650, 8645, 10640, 12635, 16625, 18620, 20615, 22610, 24605, 26600 denominator= 1464 numerators:, 3660, 25620 denominator= 1466 numerators:, 3665, 25655, 47645, 69635, 91625, 113615, 135605 denominator= 1477 numerators:, 33760, 52750, 71740, 90730, 109720, 128710 denominator= 1491 numerators:, 994, 1988, 3976, 4970, 6958, 7952, 9940, 10934, 12922, 13916, 15904 denominator= 1494 numerators:, 996, 1992, 3984, 4980, 6972, 7968, 9960, 10956, 12948, 13944, 15936, 16932, 18924, 19920, 21912, 22908, 24900 denominator= 1497 numerators:, 998, 1996, 3992, 4990, 6986, 7984, 9980, 10978, 12974, 13972, 15968, 16966, 18962, 19960, 21956, 22954, 24950, 25948, 27944, 28942, 30938, 31936, 33932, 34930, 36926, 37924, 39920, 40918, 42914, 43912, 45908, 46906, 48902, 49900 denominator= 1550 numerators:, 8525 denominator= 1552 numerators:, 8536, 22504 denominator= 1584 numerators:, 2880, 28800 denominator= 1586 numerators:, 4880, 26840, 37820, 48800 denominator= 1590 numerators:, 3975, 11925 denominator= 1592 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 8955, 9950, 10945, 11940, 12935, 13930, 14925, 16915, 17910, 18905, 19900 denominator= 1594 numerators:, 3985, 11955, 19925 denominator= 1596 numerators:, 1995, 3990, 5985, 9975, 11970, 13965, 17955, 19950, 21945, 25935, 27930, 29925, 33915, 35910, 37905 denominator= 1598 numerators:, 3995, 11985, 19975, 27965, 35955, 43945, 51935, 59925, 67915, 75905 denominator= 1631 numerators:, 2330, 9320, 23300 denominator= 1644 numerators:, 53430, 127410 denominator= 1660 numerators:, 664, 2656, 3652, 4648, 5644, 7636, 8632, 9628, 10624, 12616, 13612, 14608, 15604 denominator= 1688 numerators:, 35870, 54860, 73850, 111830, 130820, 149810 denominator= 1730 numerators:, 4325 denominator= 1732 numerators:, 4330, 30310 denominator= 1770 numerators:, 9735 denominator= 1772 numerators:, 5759, 9746, 13733, 21707 denominator= 1774 numerators:, 9757, 25723 denominator= 1785 numerators:, 40800 denominator= 1791 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 7960, 9950, 10945, 11940, 12935, 13930, 14925, 15920, 16915, 18905, 19900 denominator= 1794 numerators:, 2990, 5980, 11960, 14950, 20930, 23920, 29900 denominator= 1797 numerators:, 2995, 5990, 11980, 14975, 20965, 23960, 29950, 32945, 38935, 41930, 47920, 50915, 56905, 59900 denominator= 1822 numerators:, 59215, 141205 denominator= 1860 numerators:, 4650, 11625 denominator= 1862 numerators:, 665, 2660, 4655, 6650, 8645, 10640, 12635, 14630, 16625, 20615, 22610, 24605, 26600 denominator= 1864 numerators:, 4660, 11650, 25630, 32620, 39610 denominator= 1866 numerators:, 4665, 32655, 60645, 88635, 116625, 144615, 172605 denominator= 1872 numerators:, 5760 denominator= 1940 numerators:, 5432, 12416 denominator= 1952 numerators:, 8540, 30500 denominator= 1954 numerators:, 63505 denominator= 1990 numerators:, 995, 2985, 4975, 6965, 8955, 10945, 12935, 14925, 16915, 18905 denominator= 1992 numerators:, 996, 2988, 4980, 6972, 8964, 10956, 12948, 14940, 16932, 18924, 20916, 22908, 24900 denominator= 1994 numerators:, 997, 2991, 4985, 6979, 8973, 10967, 12961, 14955, 16949, 18943, 20937, 22931, 24925, 26919, 28913, 30907, 32901 denominator= 1996 numerators:, 998, 2994, 4990, 6986, 8982, 10978, 12974, 14970, 16966, 18962, 20958, 22954, 24950, 26946, 28942, 30938, 32934, 34930, 36926, 38922, 40918, 42914, 44910, 46906, 48902 denominator= 2044 numerators:, 43435, 66430, 89425, 135415, 158410, 181405 denominator= 2074 numerators:, 9760, 31720, 42700 denominator= 2088 numerators:, 67860, 161820 denominator= 2091 numerators:, 6970, 13940 denominator= 2093 numerators:, 2990, 5980, 8970, 11960, 14950, 17940, 23920, 26910, 29900 denominator= 2094 numerators:, 6980, 13960, 27920, 34900 denominator= 2097 numerators:, 6990, 13980, 27960, 34950, 48930, 55920, 69900 denominator= 2130 numerators:, 5325 denominator= 2132 numerators:, 5330, 13325, 29315, 37310, 45305 denominator= 2170 numerators:, 775, 7750, 14725 denominator= 2176 numerators:, 70720 denominator= 2177 numerators:, 7775, 35765, 49760, 63755, 77750, 91745, 105740, 133730, 147725, 161720, 175715, 189710, 203705 denominator= 2222 numerators:, 12221, 32219, 52217, 72215, 92213, 112211, 132209, 152207, 172205, 192203, 212201 denominator= 2254 numerators:, 51520, 80500 denominator= 2260 numerators:, 5650 denominator= 2261 numerators:, 665, 2660, 4655, 6650, 8645, 10640, 12635, 14630, 16625, 18620, 20615, 24605, 26600 denominator= 2262 numerators:, 5655 denominator= 2264 numerators:, 5660, 39620 denominator= 2266 numerators:, 5665, 39655, 73645, 107635, 141625, 175615, 209605 denominator= 2321 numerators:, 4220, 42200 denominator= 2354 numerators:, 76505 denominator= 2390 numerators:, 5975, 17925 denominator= 2391 numerators:, 3985, 7970, 15940, 19925 denominator= 2392 numerators:, 2990, 5980, 8970, 14950, 17940, 20930, 26910, 29900 denominator= 2394 numerators:, 1995, 3990, 5985, 7980, 9975, 13965, 15960, 17955, 19950, 21945, 25935, 27930, 29925, 31920, 33915, 37905, 39900 denominator= 2396 numerators:, 2995, 5990, 8985, 14975, 17970, 20965, 26955, 29950, 32945, 38935, 41930, 44925, 50915, 53910, 56905 denominator= 2397 numerators:, 3995, 7990, 15980, 19975, 27965, 31960, 39950, 43945, 51935, 55930, 63920, 67915, 75905, 79900 denominator= 2398 numerators:, 5995, 17985, 29975, 41965, 53955, 65945, 77935, 89925, 101915, 113905 denominator= 2440 numerators:, 13420 denominator= 2444 numerators:, 13442, 35438, 57434, 79430, 101426, 123422, 145418, 167414, 189410, 211406, 233402 denominator= 2480 numerators:, 3875, 10850, 17825 denominator= 2485 numerators:, 8875, 40825, 56800 denominator= 2488 numerators:, 10885, 38875, 52870, 66865, 80860, 94855, 108850, 122845, 150835, 164830, 178825, 192820, 206815, 220810, 234805 denominator= 2490 numerators:, 996, 1992, 2988, 3984, 5976, 6972, 7968, 8964, 10956, 11952, 12948, 13944, 15936, 16932, 17928, 18924, 20916, 21912, 22908, 23904 denominator= 2495 numerators:, 998, 1996, 2994, 3992, 5988, 6986, 7984, 8982, 10978, 11976, 12974, 13972, 15968, 16966, 17964, 18962, 20958, 21956, 22954, 23952, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 45908, 46906, 47904, 48902 denominator= 2530 numerators:, 6325 denominator= 2532 numerators:, 6330, 44310 denominator= 2562 numerators:, 3660, 14640, 36600 denominator= 2563 numerators:, 4660, 11650, 18640, 32620, 39610, 46600 denominator= 2576 numerators:, 54740, 83720, 112700 denominator= 2622 numerators:, 85215, 203205 denominator= 2660 numerators:, 665, 4655, 6650, 8645, 12635, 14630, 16625, 20615, 22610, 24605 denominator= 2662 numerators:, 6655, 14641, 22627, 30613 denominator= 2666 numerators:, 6665, 14663, 22661, 30659, 38657, 46655, 54653, 62651, 70649, 78647, 86645, 94643, 102641, 110639, 118637, 126635, 134633, 142631, 150629, 158627, 166625, 174623, 182621, 190619, 198617, 206615, 214613, 222611, 230609, 238607, 246605, 254603, 262601 denominator= 2684 numerators:, 4880, 15860, 37820, 48800 denominator= 2691 numerators:, 2990, 5980, 8970, 11960, 14950, 17940, 20930, 23920, 29900 denominator= 2694 numerators:, 8980, 17960, 35920, 44900 denominator= 2697 numerators:, 8990, 17980, 35960, 44950, 62930, 71920, 89900 denominator= 2743 numerators:, 8440, 46420, 65410, 84400 denominator= 2754 numerators:, 89505 denominator= 2770 numerators:, 7756, 12742, 17728, 22714 denominator= 2790 numerators:, 6975, 20925 denominator= 2792 numerators:, 6980, 20940, 34900 denominator= 2793 numerators:, 1995, 3990, 5985, 7980, 9975, 11970, 15960, 17955, 19950, 21945, 23940, 25935, 29925, 31920, 33915, 35910, 37905, 39900 denominator= 2794 numerators:, 6985, 20955, 34925 denominator= 2796 numerators:, 6990, 20970, 34950, 48930, 62910 denominator= 2798 numerators:, 6995, 20985, 34975, 48965, 62955, 76945, 90935, 104925, 118915, 132905 denominator= 2840 numerators:, 12425 denominator= 2844 numerators:, 60435, 92430, 124425, 188415, 220410, 252405 denominator= 2877 numerators:, 65760, 102750, 139740, 176730, 213720, 250710 denominator= 2880 numerators:, 15840 denominator= 2882 numerators:, 15851 denominator= 2884 numerators:, 15862, 41818 denominator= 2888 numerators:, 15884, 41876, 67868, 93860, 119852, 145844, 171836, 197828, 223820, 249812, 275804 denominator= 2930 numerators:, 7325 denominator= 2932 numerators:, 7330, 18325, 40315, 51310, 62305 denominator= 2954 numerators:, 10550, 48530, 67520, 86510, 105500 denominator= 2976 numerators:, 96720 denominator= 2991 numerators:, 997, 1994, 3988, 4985, 6979, 7976, 9970, 10967, 12961, 13958, 15952, 16949, 18943, 19940, 21934, 22931, 24925, 25922, 27916, 28913, 30907, 31904 denominator= 2994 numerators:, 998, 1996, 3992, 4990, 6986, 7984, 9980, 10978, 12974, 13972, 15968, 16966, 18962, 19960, 21956, 22954, 24950, 25948, 27944, 28942, 30938, 31936, 33932, 34930, 36926, 37924, 39920, 40918, 42914, 43912, 45908, 46906, 48902, 49900 denominator= 3022 numerators:, 98215, 234205 denominator= 3031 numerators:, 4330, 17320, 43300 denominator= 3050 numerators:, 8540, 19520 denominator= 3055 numerators:, 8554, 19552, 41548, 52546, 63544, 74542, 96538, 107536, 118534, 129532, 151528, 162526, 173524, 184522, 206518, 217516, 228514, 239512, 261508, 272506, 283504, 294502 denominator= 3060 numerators:, 7650 denominator= 3062 numerators:, 7655 denominator= 3064 numerators:, 7660, 53620 denominator= 3066 numerators:, 7665, 53655, 99645, 145635, 191625, 237615, 283605 denominator= 3110 numerators:, 17105 denominator= 3154 numerators:, 102505 denominator= 3172 numerators:, 9760, 20740, 42700 denominator= 3185 numerators:, 72800 denominator= 3190 numerators:, 7975, 23925 denominator= 3192 numerators:, 1995, 3990, 5985, 7980, 9975, 11970, 13965, 17955, 19950, 21945, 23940, 25935, 27930, 29925, 33915, 35910, 37905, 39900 denominator= 3194 numerators:, 7985, 23955, 39925 denominator= 3196 numerators:, 3995, 7990, 11985, 19975, 23970, 27965, 35955, 39950, 43945, 51935, 55930, 59925, 67915, 71910, 75905 denominator= 3198 numerators:, 7995, 23985, 39975, 55965, 71955, 87945, 103935, 119925, 135915, 151905 denominator= 3244 numerators:, 105430, 251410 denominator= 3262 numerators:, 4660, 11650, 18640, 25630, 39610, 46600 denominator= 3288 numerators:, 69870, 106860, 143850, 217830, 254820, 291810 denominator= 3291 numerators:, 10970, 21940 denominator= 3294 numerators:, 10980, 21960, 43920, 54900 denominator= 3297 numerators:, 10990, 21980, 43960, 54950, 76930, 87920, 109900 denominator= 3332 numerators:, 8330, 18326, 28322, 38318, 48314, 58310, 68306, 78302 denominator= 3376 numerators:, 14770, 52750, 71740, 90730, 109720, 128710, 147700 denominator= 3421 numerators:, 6220, 20215, 48205, 62200 denominator= 3422 numerators:, 111215, 265205 denominator= 3460 numerators:, 8650, 21625 denominator= 3462 numerators:, 8655 denominator= 3464 numerators:, 8660, 21650, 47630, 60620, 73610 denominator= 3466 numerators:, 8665, 60655, 112645, 164635, 216625, 268615, 320605 denominator= 3493 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 7984, 8982, 9980, 10978, 11976, 12974, 14970, 15968, 16966, 17964, 18962, 19960, 21956, 22954, 23952, 24950, 25948, 26946, 28942, 29940, 30938, 31936, 32934, 33932, 35928, 36926, 37924, 38922, 39920, 40918, 42914, 43912, 44910, 45908, 46906, 47904, 49900 denominator= 3542 numerators:, 6440, 64400 denominator= 3550 numerators:, 19525 denominator= 3554 numerators:, 19547, 51533, 83519, 115505 denominator= 3570 numerators:, 12750 denominator= 3577 numerators:, 12775, 58765, 81760, 104755, 127750, 150745, 173740, 219730, 242725, 265720, 288715, 311710, 334705 denominator= 3587 numerators:, 16880, 54860, 73850, 92840, 111830, 130820, 149810, 168800 denominator= 3590 numerators:, 8975, 26925 denominator= 3591 numerators:, 1995, 3990, 5985, 7980, 9975, 11970, 13965, 15960, 19950, 21945, 23940, 25935, 27930, 29925, 31920, 33915, 37905, 39900 denominator= 3592 numerators:, 8980, 26940, 44900 denominator= 3594 numerators:, 2995, 5990, 8985, 11980, 14975, 20965, 23960, 26955, 29950, 32945, 38935, 41930, 44925, 47920, 50915, 56905, 59900 denominator= 3596 numerators:, 8990, 26970, 44950, 62930, 80910 denominator= 3597 numerators:, 5995, 11990, 23980, 29975, 41965, 47960, 59950, 65945, 77935, 83930, 95920, 101915, 113905, 119900 denominator= 3598 numerators:, 8995, 26985, 44975, 62965, 80955, 98945, 116935, 134925, 152915, 170905 denominator= 3610 numerators:, 10108, 23104 denominator= 3644 numerators:, 77435, 118430, 159425, 241415, 282410, 323405 denominator= 3654 numerators:, 83520, 130500 denominator= 3688 numerators:, 119860, 285820 denominator= 3730 numerators:, 9325 denominator= 3731 numerators:, 5330, 13325, 21320, 29315, 45305, 53300 denominator= 3732 numerators:, 9330, 23325, 51315, 65310, 79305 denominator= 3770 numerators:, 20735 denominator= 3772 numerators:, 20746 denominator= 3776 numerators:, 20768, 54752, 88736, 122720, 156704 denominator= 3782 numerators:, 4880, 15860, 26840, 48800 denominator= 3784 numerators:, 6880, 68800 denominator= 3822 numerators:, 124215, 296205 denominator= 3860 numerators:, 9650 denominator= 3862 numerators:, 9655 denominator= 3864 numerators:, 9660, 67620 denominator= 3866 numerators:, 9665, 67655, 125645, 183635, 241625, 299615, 357605 denominator= 3880 numerators:, 10864, 17848, 24832, 31816 denominator= 3891 numerators:, 12970, 25940 denominator= 3894 numerators:, 12980, 25960, 51920, 64900 denominator= 3897 numerators:, 12990, 25980, 51960, 64950, 90930, 103920, 129900 denominator= 3954 numerators:, 128505 denominator= 3961 numerators:, 4660, 11650, 18640, 25630, 32620, 46600 denominator= 3962 numerators:, 5660, 22640, 56600 denominator= 3990 numerators:, 1995, 5985, 9975, 13965, 17955, 21945, 25935, 29925, 33915, 37905 denominator= 3992 numerators:, 998, 1996, 2994, 4990, 5988, 6986, 8982, 9980, 10978, 12974, 13972, 14970, 16966, 17964, 18962, 20958, 21956, 22954, 24950, 25948, 26946, 28942, 29940, 30938, 32934, 33932, 34930, 36926, 37924, 38922, 40918, 41916, 42914, 44910, 45908, 46906, 48902, 49900 denominator= 3994 numerators:, 1997, 5991, 9985, 13979, 17973, 21967, 25961, 29955, 33949, 37943, 41937, 45931, 49925, 53919, 57913, 61907, 65901 denominator= 3998 numerators:, 1999, 5997, 9995, 13993, 17991, 21989, 25987, 29985, 33983, 37981, 41979, 45977, 49975, 53973, 57971, 61969, 65967, 69965, 73963, 77961, 81959, 85957, 89955, 93953, 97951, 101949, 105947, 109945, 113943, 117941, 121939, 125937, 129935, 133933, 137931, 141929, 145927, 149925, 153923, 157921, 161919, 165917, 169915, 173913, 177911, 181909, 185907, 189905, 193903, 197901 denominator= 4043 numerators:, 12440, 26435, 54425, 68420, 82415, 96410, 110405, 124400 denominator= 4044 numerators:, 131430, 313410 denominator= 4080 numerators:, 17850 denominator= 4088 numerators:, 17885, 63875, 86870, 109865, 132860, 155855, 178850, 201845, 247835, 270830, 293825, 316820, 339815, 362810, 385805 denominator= 4130 numerators:, 10325 denominator= 4132 numerators:, 10330, 72310 denominator= 4160 numerators:, 1664, 6656, 11648, 21632, 26624, 31616, 36608 denominator= 4165 numerators:, 1666, 6664, 11662, 21658, 26656, 31654, 36652, 46648, 51646, 56644, 61642, 71638, 76636, 81634, 86632, 96628, 101626, 106624, 111622, 121618, 126616, 131614, 136612, 146608, 151606, 156604, 161602 denominator= 4176 numerators:, 88740, 135720, 182700 denominator= 4186 numerators:, 12880, 70840, 99820, 128800 denominator= 4191 numerators:, 6985, 13970, 27940, 34925 denominator= 4193 numerators:, 2995, 5990, 8985, 11980, 14975, 17970, 23960, 26955, 29950, 32945, 35940, 38935, 44925, 47920, 50915, 53910, 56905, 59900 denominator= 4194 numerators:, 6990, 13980, 27960, 34950, 48930, 55920, 69900 denominator= 4197 numerators:, 6995, 13990, 27980, 34975, 48965, 55960, 69950, 76945, 90935, 97930, 111920, 118915, 132905, 139900 denominator= 4220 numerators:, 23210 denominator= 4222 numerators:, 23221, 61219, 99217, 137215, 175213, 213211, 251209, 289207, 327205, 365203, 403201 denominator= 4260 numerators:, 10650, 26625 denominator= 4262 numerators:, 10655 denominator= 4264 numerators:, 2665, 10660, 18655, 26650, 34645, 50635, 58630, 66625, 74620, 82615, 90610, 98605 denominator= 4266 numerators:, 10665, 74655, 138645, 202635, 266625, 330615, 394605 denominator= 4270 numerators:, 9760, 20740, 31720 denominator= 4277 numerators:, 9776, 20774, 31772, 53768, 64766, 75764, 86762, 97760, 108758, 130754, 141752, 152750, 163748, 174746, 185744, 207740, 218738, 229736, 240734, 251732, 262730, 284726, 295724, 306722, 317720, 328718, 339716, 361712, 372710, 383708, 394706, 405704, 416702 denominator= 4354 numerators:, 1555, 15550, 29545, 57535, 71530, 85525, 99520, 113515, 127510, 141505, 155500 denominator= 4390 numerators:, 10975, 32925 denominator= 4392 numerators:, 10980, 32940, 54900 denominator= 4394 numerators:, 10985, 32955, 54925 denominator= 4396 numerators:, 10990, 32970, 54950, 76930, 98910 denominator= 4398 numerators:, 10995, 32985, 54975, 76965, 98955, 120945, 142935, 164925, 186915, 208905 denominator= 4431 numerators:, 6330, 25320, 63300 denominator= 4442 numerators:, 24431, 64409 denominator= 4444 numerators:, 14443, 24442, 34441, 54439, 64438, 74437, 94435, 104434, 114433, 134431, 144430, 154429, 174427, 184426, 194425, 214423, 224422, 234421, 254419, 264418, 274417, 294415, 304414, 314413, 334411, 344410, 354409, 374407, 384406, 394405, 414403, 424402, 434401 denominator= 4472 numerators:, 13760 denominator= 4488 numerators:, 145860, 347820 denominator= 4491 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 6986, 7984, 9980, 10978, 11976, 12974, 13972, 14970, 15968, 16966, 18962, 19960, 20958, 21956, 22954, 23952, 24950, 25948, 27944, 28942, 29940, 30938, 31936, 32934, 33932, 34930, 36926, 37924, 38922, 39920, 40918, 41916, 42914, 43912, 45908, 46906, 47904, 48902, 49900 denominator= 4494 numerators:, 2996, 5992, 11984, 14980, 20972, 23968, 29960, 32956, 38948, 41944, 47936, 50932, 56924, 59920, 65912, 68908, 74900 denominator= 4497 numerators:, 2998, 5996, 11992, 14990, 20986, 23984, 29980, 32978, 38974, 41972, 47968, 50966, 56962, 59960, 65956, 68954, 74950, 77948, 83944, 86942, 92938, 95936, 101932, 104930, 110926, 113924, 119920, 122918, 128914, 131912, 137908, 140906, 146902, 149900 denominator= 4521 numerators:, 8220, 82200 denominator= 4530 numerators:, 11325 denominator= 4532 numerators:, 11330, 28325, 62315, 79310, 96305 denominator= 4576 numerators:, 148720 denominator= 4585 numerators:, 104800 denominator= 4622 numerators:, 150215, 358205 denominator= 4642 numerators:, 8440, 27430, 65410, 84400 denominator= 4660 numerators:, 11650, 25630, 39610 denominator= 4664 numerators:, 11660, 25652, 39644, 53636, 67628, 81620, 95612, 109604 denominator= 4666 numerators:, 11665, 25663, 39661, 53659, 67657, 81655, 95653, 109651, 123649, 137647, 151645, 165643, 179641, 193639, 207637, 221635, 235633, 249631, 263629, 277627, 291625, 305623, 319621, 333619, 347617, 361615, 375613, 389611, 403609, 417607, 431605, 445603, 459601 denominator= 4720 numerators:, 13216, 30208 denominator= 4754 numerators:, 154505 denominator= 4763 numerators:, 8660, 21650, 34640, 60620, 73610, 86600 denominator= 4790 numerators:, 11975, 35925 denominator= 4791 numerators:, 7985, 15970, 31940, 39925 denominator= 4792 numerators:, 2995, 5990, 8985, 11980, 14975, 17970, 20965, 26955, 29950, 32945, 35940, 38935, 41930, 44925, 50915, 53910, 56905, 59900 denominator= 4794 numerators:, 3995, 7990, 11985, 15980, 19975, 27965, 31960, 35955, 39950, 43945, 51935, 55930, 59925, 63920, 67915, 75905, 79900 denominator= 4796 numerators:, 5995, 11990, 17985, 29975, 35970, 41965, 53955, 59950, 65945, 77935, 83930, 89925, 101915, 107910, 113905 denominator= 4797 numerators:, 7995, 15990, 31980, 39975, 55965, 63960, 79950, 87945, 103935, 111930, 127920, 135915, 151905, 159900 denominator= 4798 numerators:, 11995, 35985, 59975, 83965, 107955, 131945, 155935, 179925, 203915, 227905 denominator= 4844 numerators:, 157430, 375410 denominator= 4853 numerators:, 10550, 29540, 67520, 86510, 105500 denominator= 4880 numerators:, 15860, 26840, 37820 denominator= 4882 numerators:, 26851 denominator= 4886 numerators:, 26873, 70847, 114821 denominator= 4888 numerators:, 15886, 26884, 37882, 59878, 70876, 81874, 103870, 114868, 125866, 147862, 158860, 169858, 191854, 202852, 213850, 235846, 246844, 257842, 279838, 290836, 301834, 323830, 334828, 345826, 367822, 378820, 389818, 411814, 422812, 433810, 455806, 466804, 477802 denominator= 4893 numerators:, 6990, 13980, 20970, 27960, 34950, 41940, 55920, 62910, 69900 denominator= 4930 numerators:, 12325 denominator= 4932 numerators:, 12330, 86310 denominator= 4970 numerators:, 1775, 17750, 33725 denominator= 4976 numerators:, 7775, 21770, 35765, 63755, 77750, 91745, 105740, 119735, 133730, 147725, 161720, 175715, 189710, 203705, 217700 denominator= 4977 numerators:, 17775, 81765, 113760, 145755, 177750, 209745, 241740, 305730, 337725, 369720, 401715, 433710, 465705 denominator= 4990 numerators:, 998, 1996, 2994, 3992, 5988, 6986, 7984, 8982, 10978, 11976, 12974, 13972, 15968, 16966, 17964, 18962, 20958, 21956, 22954, 23952, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 45908, 46906, 47904, 48902 denominator= 5022 numerators:, 163215, 389205 denominator= 5054 numerators:, 11552, 24548, 37544, 63536, 76532, 89528, 102524, 115520, 128516, 154508, 167504, 180500 denominator= 5060 numerators:, 12650, 31625 denominator= 5062 numerators:, 12655 denominator= 5064 numerators:, 12660, 31650, 69630, 88620, 107610 denominator= 5066 numerators:, 12665, 88655, 164645, 240635, 316625, 392615, 468605 denominator= 5091 numerators:, 16970, 33940 denominator= 5094 numerators:, 16980, 33960, 67920, 84900 denominator= 5097 numerators:, 16990, 33980, 67960, 84950, 118930, 135920, 169900 denominator= 5110 numerators:, 28105 denominator= 5131 numerators:, 7330, 18325, 29320, 40315, 62305, 73300 denominator= 5152 numerators:, 22540, 80500 denominator= 5154 numerators:, 167505 denominator= 5190 numerators:, 12975, 38925 denominator= 5192 numerators:, 12980, 38940, 64900 denominator= 5194 numerators:, 12985, 38955, 64925 denominator= 5196 numerators:, 12990, 38970, 64950, 90930, 116910 denominator= 5198 numerators:, 12995, 38985, 64975, 90965, 116955, 142945, 168935, 194925, 220915, 246905 denominator= 5244 numerators:, 111435, 170430, 229425, 347415, 406410, 465405 denominator= 5270 numerators:, 14756, 33728 denominator= 5275 numerators:, 14770, 33760, 71740, 90730, 109720, 128710 denominator= 5285 numerators:, 18875, 86825, 120800 denominator= 5287 numerators:, 10885, 24880, 38875, 66865, 80860, 94855, 108850, 122845, 136840, 150835, 164830, 178825, 192820, 206815, 220810, 234805, 248800 denominator= 5288 numerators:, 171860, 409820 denominator= 5330 numerators:, 13325, 29315, 45305 denominator= 5332 numerators:, 1333, 9331, 13330, 17329, 25327, 29326, 33325, 41323, 45322, 49321, 57319, 61318, 65317, 73315, 77314, 81313, 89311, 93310, 97309, 105307, 109306, 113305, 121303, 125302, 129301 denominator= 5343 numerators:, 16440, 90420, 127410, 164400 denominator= 5362 numerators:, 7660, 30640, 76600 denominator= 5376 numerators:, 174720 denominator= 5391 numerators:, 2995, 5990, 8985, 11980, 14975, 17970, 20965, 23960, 29950, 32945, 35940, 38935, 41930, 44925, 47920, 50915, 56905, 59900 denominator= 5394 numerators:, 8990, 17980, 35960, 44950, 62930, 71920, 89900 denominator= 5397 numerators:, 8995, 17990, 35980, 44975, 62965, 71960, 89950, 98945, 116935, 125930, 143920, 152915, 170905, 179900 denominator= 5422 numerators:, 176215, 420205 denominator= 5460 numerators:, 13650 denominator= 5462 numerators:, 13655 denominator= 5464 numerators:, 13660, 95620 denominator= 5466 numerators:, 13665, 95655, 177645, 259635, 341625, 423615, 505605 denominator= 5474 numerators:, 25760, 83720, 112700 denominator= 5486 numerators:, 16880, 35870, 73850, 92840, 111830, 130820, 149810, 168800 denominator= 5552 numerators:, 30536, 80504 denominator= 5554 numerators:, 30547, 80533, 130519, 180505 denominator= 5555 numerators:, 15554, 25553, 35552, 45551, 65549, 75548, 85547, 95546, 115544, 125543, 135542, 145541, 165539, 175538, 185537, 195536, 215534, 225533, 235532, 245531, 265529, 275528, 285527, 295526, 315524, 325523, 335522, 345521, 365519, 375518, 385517, 395516, 415514, 425513, 435512, 445511, 465509, 475508, 485507, 495506, 515504, 525503, 535502, 545501 denominator= 5590 numerators:, 13975, 41925 denominator= 5592 numerators:, 6990, 13980, 20970, 34950, 41940, 48930, 62910, 69900 denominator= 5593 numerators:, 3995, 7990, 11985, 15980, 19975, 23970, 31960, 35955, 39950, 43945, 47940, 51935, 59925, 63920, 67915, 71910, 75905, 79900 denominator= 5594 numerators:, 13985, 41955, 69925 denominator= 5596 numerators:, 6995, 13990, 20985, 34975, 41970, 48965, 62955, 69950, 76945, 90935, 97930, 104925, 118915, 125910, 132905 denominator= 5598 numerators:, 13995, 41985, 69975, 97965, 125955, 153945, 181935, 209925, 237915, 265905 denominator= 5621 numerators:, 10220, 33215, 79205, 102200 denominator= 5644 numerators:, 183430, 437410 denominator= 5677 numerators:, 129760, 202750, 275740, 348730, 421720, 494710 denominator= 5680 numerators:, 8875, 24850, 40825 denominator= 5688 numerators:, 24885, 88875, 120870, 152865, 184860, 216855, 248850, 280845, 344835, 376830, 408825, 440820, 472815, 504810, 536805 denominator= 5691 numerators:, 18970, 37940 denominator= 5694 numerators:, 18980, 37960, 75920, 94900 denominator= 5697 numerators:, 18990, 37980, 75960, 94950, 132930, 151920, 189900 denominator= 5730 numerators:, 14325 denominator= 5732 numerators:, 14330, 100310 denominator= 5742 numerators:, 10440, 104400 denominator= 5754 numerators:, 20550, 94530, 131520, 168510, 205500 denominator= 5770 numerators:, 31735 denominator= 5774 numerators:, 31757, 83723 denominator= 5776 numerators:, 18772, 31768, 44764, 70756, 83752, 96748, 122740, 135736, 148732, 174724, 187720, 200716, 226708, 239704, 252700 denominator= 5822 numerators:, 189215, 451205 denominator= 5830 numerators:, 2332, 9328, 16324, 30316, 37312, 44308, 51304 denominator= 5831 numerators:, 3332, 8330, 13328, 18326, 28322, 33320, 38318, 43316, 48314, 53312, 63308, 68306, 73304, 78302, 83300 denominator= 5860 numerators:, 14650, 36625 denominator= 5862 numerators:, 14655 denominator= 5863 numerators:, 2665, 10660, 18655, 26650, 34645, 42640, 50635, 66625, 74620, 82615, 90610, 98605, 106600 denominator= 5864 numerators:, 3665, 14660, 25655, 36650, 47645, 69635, 80630, 91625, 102620, 113615, 124610, 135605 denominator= 5866 numerators:, 14665, 102655, 190645, 278635, 366625, 454615, 542605 denominator= 5954 numerators:, 193505 denominator= 5984 numerators:, 10880, 108800 denominator= 5985 numerators:, 136800 denominator= 5990 numerators:, 2995, 8985, 14975, 20965, 26955, 32945, 38935, 44925, 50915, 56905 denominator= 5991 numerators:, 1997, 3994, 7988, 9985, 13979, 15976, 19970, 21967, 25961, 27958, 31952, 33949, 37943, 39940, 43934, 45931, 49925, 51922, 55916, 57913, 61907, 63904 denominator= 5992 numerators:, 2996, 8988, 14980, 20972, 26964, 32956, 38948, 44940, 50932, 56924, 62916, 68908, 74900 denominator= 5996 numerators:, 2998, 8994, 14990, 20986, 26982, 32978, 38974, 44970, 50966, 56962, 62958, 68954, 74950, 80946, 86942, 92938, 98934, 104930, 110926, 116922, 122918, 128914, 134910, 140906, 146902 denominator= 5997 numerators:, 1999, 3998, 7996, 9995, 13993, 15992, 19990, 21989, 25987, 27986, 31984, 33983, 37981, 39980, 43978, 45977, 49975, 51974, 55972, 57971, 61969, 63968, 67966, 69965, 73963, 75962, 79960, 81959, 85957, 87956, 91954, 93953, 97951, 99950, 103948, 105947, 109945, 111944, 115942, 117941, 121939, 123938, 127936, 129935, 133933, 135932, 139930, 141929, 145927, 147926, 151924, 153923, 157921, 159920, 163918, 165917, 169915, 171914, 175912, 177911, 181909, 183908, 187906, 189905, 193903, 195902, 199900 denominator= 5998 numerators:, 2999, 8997, 14995, 20993, 26991, 32989, 38987, 44985, 50983, 56981, 62979, 68977, 74975, 80973, 86971, 92969, 98967, 104965, 110963, 116961, 122959, 128957, 134955, 140953, 146951, 152949, 158947, 164945, 170943, 176941, 182939, 188937, 194935, 200933, 206931, 212929, 218927, 224925, 230923, 236921, 242919, 248917, 254915, 260913, 266911, 272909, 278907, 284905, 290903, 296901 denominator= 6040 numerators:, 26425 denominator= 6044 numerators:, 128435, 196430, 264425, 400415, 468410, 536405 denominator= 6062 numerators:, 8660, 21650, 34640, 47630, 73610, 86600 denominator= 6088 numerators:, 197860, 471820 denominator= 6110 numerators:, 17108, 28106, 39104, 50102 denominator= 6130 numerators:, 15325 denominator= 6132 numerators:, 15330, 38325, 84315, 107310, 130305 denominator= 6176 numerators:, 200720 denominator= 6220 numerators:, 20215, 34210, 48205 denominator= 6222 numerators:, 34221, 90219, 146217, 202215, 258213, 314211, 370209, 426207, 482205, 538203, 594201 denominator= 6260 numerators:, 15650 denominator= 6262 numerators:, 15655 denominator= 6264 numerators:, 15660, 109620 denominator= 6266 numerators:, 15665, 109655, 203645, 297635, 391625, 485615, 579605 denominator= 6291 numerators:, 6990, 13980, 20970, 27960, 34950, 41940, 48930, 55920, 69900 denominator= 6293 numerators:, 8990, 17980, 26970, 35960, 44950, 53940, 71920, 80910, 89900 denominator= 6294 numerators:, 20980, 41960, 83920, 104900 denominator= 6297 numerators:, 20990, 41980, 83960, 104950, 146930, 167920, 209900 denominator= 6354 numerators:, 206505 denominator= 6370 numerators:, 22750 denominator= 6377 numerators:, 22775, 104765, 145760, 186755, 227750, 268745, 309740, 391730, 432725, 473720, 514715, 555710, 596705 denominator= 6380 numerators:, 17864, 40832 denominator= 6385 numerators:, 17878, 40864, 86836, 109822, 132808 denominator= 6390 numerators:, 15975, 47925 denominator= 6392 numerators:, 3995, 7990, 11985, 15980, 19975, 23970, 27965, 35955, 39950, 43945, 47940, 51935, 55930, 59925, 67915, 71910, 75905, 79900 denominator= 6394 numerators:, 15985, 47955, 79925 denominator= 6396 numerators:, 7995, 15990, 23985, 39975, 47970, 55965, 71955, 79950, 87945, 103935, 111930, 119925, 135915, 143910, 151905 denominator= 6398 numerators:, 15995, 47985, 79975, 111965, 143955, 175945, 207935, 239925, 271915, 303905 denominator= 6440 numerators:, 35420 denominator= 6442 numerators:, 35431, 93409 denominator= 6444 numerators:, 35442, 93438, 151434, 209430, 267426, 325422, 383418, 441414, 499410, 557406, 615402 denominator= 6454 numerators:, 147520, 230500 denominator= 6488 numerators:, 137870, 210860, 283850, 429830, 502820, 575810 denominator= 6530 numerators:, 16325 denominator= 6531 numerators:, 9330, 23325, 37320, 51315, 79305, 93300 denominator= 6532 numerators:, 16330, 114310 denominator= 6541 numerators:, 8440, 27430, 46420, 84400 denominator= 6576 numerators:, 28770, 102750, 139740, 176730, 213720, 250710, 287700 denominator= 6591 numerators:, 10985, 21970, 43940, 54925 denominator= 6594 numerators:, 10990, 21980, 43960, 54950, 76930, 87920, 109900 denominator= 6597 numerators:, 10995, 21990, 43980, 54975, 76965, 87960, 109950, 120945, 142935, 153930, 175920, 186915, 208905, 219900 denominator= 6622 numerators:, 215215, 513205 denominator= 6643 numerators:, 20440, 43435, 89425, 112420, 135415, 158410, 181405, 204400 denominator= 6662 numerators:, 16655, 36641, 56627, 76613 denominator= 6664 numerators:, 1666, 11662, 16660, 21658, 31654, 36652, 41650, 51646, 56644, 61642, 71638, 76636, 81634, 91630, 96628, 101626, 111622, 116620, 121618, 131614, 136612, 141610, 151606, 156604, 161602 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661, 30659, 34658, 38657, 42656, 50654, 54653, 58652, 62651, 70649, 74648, 78647, 82646, 90644, 94643, 98642, 102641, 110639, 114638, 118637, 122636, 130634, 134633, 138632, 142631, 150629, 154628, 158627, 162626, 170624, 174623, 178622, 182621, 190619, 194618, 198617, 202616, 210614, 214613, 218612, 222611, 230609, 234608, 238607, 242606, 250604, 254603, 258602, 262601 denominator= 6666 numerators:, 16665, 36663, 56661, 76659, 96657, 116655, 136653, 156651, 176649, 196647, 216645, 236643, 256641, 276639, 296637, 316635, 336633, 356631, 376629, 396627, 416625, 436623, 456621, 476619, 496617, 516615, 536613, 556611, 576609, 596607, 616605, 636603, 656601 denominator= 6685 numerators:, 23875, 109825, 152800 denominator= 6721 numerators:, 1222, 12220, 23218, 34216, 45214, 56212, 78208, 89206, 100204, 111202, 122200 denominator= 6752 numerators:, 10550, 29540, 48530, 86510, 105500 denominator= 6754 numerators:, 219505 denominator= 6762 numerators:, 9660, 38640, 96600 denominator= 6786 numerators:, 20880, 114840, 161820, 208800 denominator= 6790 numerators:, 16975, 50925 denominator= 6792 numerators:, 16980, 50940, 84900 denominator= 6794 numerators:, 16985, 50955, 84925 denominator= 6796 numerators:, 16990, 50970, 84950, 118930, 152910 denominator= 6798 numerators:, 16995, 50985, 84975, 118965, 152955, 186945, 220935, 254925, 288915, 322905 denominator= 6842 numerators:, 12440, 26435, 40430, 54425, 82415, 96410, 110405, 124400 denominator= 6844 numerators:, 145435, 222430, 299425, 453415, 530410, 607405 denominator= 6880 numerators:, 37840 denominator= 6884 numerators:, 37862, 99818 denominator= 6886 numerators:, 37873, 99847, 161821 denominator= 6888 numerators:, 37884, 99876, 161868, 223860, 285852, 347844, 409836, 471828, 533820, 595812, 657804 denominator= 6891 numerators:, 22970, 45940 denominator= 6894 numerators:, 22980, 45960, 91920, 114900 denominator= 6897 numerators:, 22990, 45980, 91960, 114950, 160930, 183920, 229900 denominator= 6930 numerators:, 17325 denominator= 6932 numerators:, 17330, 43325, 95315, 121310, 147305 denominator= 6940 numerators:, 19432, 44416 denominator= 6963 numerators:, 12660, 31650, 50640, 88620, 107610, 126600 denominator= 6976 numerators:, 226720 denominator= 6987 numerators:, 32880, 106860, 143850, 180840, 217830, 254820, 291810, 328800 denominator= 7022 numerators:, 228215, 544205 denominator= 7060 numerators:, 17650 denominator= 7062 numerators:, 17655 denominator= 7064 numerators:, 17660, 123620 denominator= 7066 numerators:, 17665, 123655, 229645, 335635, 441625, 547615, 653605 denominator= 7072 numerators:, 21760 denominator= 7077 numerators:, 161760, 252750, 343740, 434730, 525720, 616710 denominator= 7084 numerators:, 12880, 41860, 99820, 128800 denominator= 7110 numerators:, 39105 denominator= 7153 numerators:, 1555, 15550, 29545, 43540, 57535, 85525, 99520, 113515, 127510, 141505, 155500 denominator= 7154 numerators:, 2555, 25550, 48545, 94535, 117530, 140525, 163520, 186515, 209510, 232505, 255500 denominator= 7174 numerators:, 14770, 33760, 52750, 90730, 109720, 128710, 147700 denominator= 7190 numerators:, 17975, 53925 denominator= 7191 numerators:, 3995, 7990, 11985, 15980, 19975, 23970, 27965, 31960, 39950, 43945, 47940, 51935, 55930, 59925, 63920, 67915, 75905, 79900 denominator= 7192 numerators:, 8990, 17980, 26970, 44950, 53940, 62930, 80910, 89900 denominator= 7194 numerators:, 5995, 11990, 17985, 23980, 29975, 41965, 47960, 53955, 59950, 65945, 77935, 83930, 89925, 95920, 101915, 113905, 119900 denominator= 7196 numerators:, 8995, 17990, 26985, 44975, 53970, 62965, 80955, 89950, 98945, 116935, 125930, 134925, 152915, 161910, 170905 denominator= 7197 numerators:, 11995, 23990, 47980, 59975, 83965, 95960, 119950, 131945, 155935, 167930, 191920, 203915, 227905, 239900 denominator= 7198 numerators:, 17995, 53985, 89975, 125965, 161955, 197945, 233935, 269925, 305915, 341905 denominator= 7220 numerators:, 20216, 33212, 46208, 59204 denominator= 7231 numerators:, 10330, 41320, 103300 denominator= 7244 numerators:, 235430, 561410 denominator= 7280 numerators:, 31850 denominator= 7288 numerators:, 31885, 113875, 154870, 195865, 236860, 277855, 318850, 359845, 441835, 482830, 523825, 564820, 605815, 646810, 687805 denominator= 7330 numerators:, 18325, 40315, 62305 denominator= 7332 numerators:, 18330, 40326, 62322, 84318, 106314, 128310, 150306, 172302 denominator= 7361 numerators:, 8660, 21650, 34640, 47630, 60620, 86600 denominator= 7376 numerators:, 156740, 239720, 322700 denominator= 7385 numerators:, 16880, 35870, 54860, 92840, 111830, 130820, 149810, 168800 denominator= 7422 numerators:, 241215, 575205 denominator= 7460 numerators:, 18650, 46625 denominator= 7462 numerators:, 2665, 10660, 18655, 26650, 34645, 42640, 50635, 58630, 66625, 82615, 90610, 98605, 106600 denominator= 7464 numerators:, 4665, 18660, 32655, 46650, 60645, 88635, 102630, 116625, 130620, 144615, 158610, 172605 denominator= 7466 numerators:, 18665, 130655, 242645, 354635, 466625, 578615, 690605 denominator= 7490 numerators:, 2996, 5992, 8988, 11984, 17976, 20972, 23968, 26964, 32956, 35952, 38948, 41944, 47936, 50932, 53928, 56924, 62916, 65912, 68908, 71904 denominator= 7491 numerators:, 4994, 9988, 19976, 24970, 34958, 39952, 49940, 54934, 64922, 69916, 79904 denominator= 7494 numerators:, 4996, 9992, 19984, 24980, 34972, 39968, 49960, 54956, 64948, 69944, 79936, 84932, 94924, 99920, 109912, 114908, 124900 denominator= 7495 numerators:, 2998, 5996, 8994, 11992, 17988, 20986, 23984, 26982, 32978, 35976, 38974, 41972, 47968, 50966, 53964, 56962, 62958, 65956, 68954, 71952, 77948, 80946, 83944, 86942, 92938, 95936, 98934, 101932, 107928, 110926, 113924, 116922, 122918, 125916, 128914, 131912, 137908, 140906, 143904, 146902 denominator= 7497 numerators:, 4998, 9996, 19992, 24990, 34986, 39984, 49980, 54978, 64974, 69972, 79968, 84966, 94962, 99960, 109956, 114954, 124950, 129948, 139944, 144942, 154938, 159936, 169932, 174930, 184926, 189924, 199920, 204918, 214914, 219912, 229908, 234906, 244902, 249900 denominator= 7550 numerators:, 41525 denominator= 7552 numerators:, 24544, 41536, 58528, 92512, 109504 denominator= 7554 numerators:, 41547, 109533, 177519, 245505 denominator= 7590 numerators:, 18975, 56925 denominator= 7592 numerators:, 18980, 56940, 94900 denominator= 7594 numerators:, 18985, 56955, 94925 denominator= 7596 numerators:, 18990, 56970, 94950, 132930, 170910 denominator= 7598 numerators:, 18995, 56985, 94975, 132965, 170955, 208945, 246935, 284925, 322915, 360905 denominator= 7640 numerators:, 33425 denominator= 7644 numerators:, 162435, 248430, 334425, 506415, 592410, 678405 denominator= 7688 numerators:, 249860, 595820 denominator= 7693 numerators:, 10990, 21980, 32970, 43960, 54950, 65940, 87920, 98910, 109900 denominator= 7730 numerators:, 19325 denominator= 7732 numerators:, 19330, 48325, 106315, 135310, 164305 denominator= 7772 numerators:, 42746 denominator= 7774 numerators:, 42757, 112723 denominator= 7775 numerators:, 21770, 35765, 49760, 63755, 91745, 105740, 119735, 133730, 161720, 175715, 189710, 203705 denominator= 7776 numerators:, 42768, 112752, 182736, 252720, 322704 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771, 87769, 97768, 107767, 117766, 127765, 137764, 157762, 167761, 177760, 187759, 197758, 207757, 227755, 237754, 247753, 257752, 267751, 277750, 297748, 307747, 317746, 327745, 337744, 347743, 367741, 377740, 387739, 397738, 407737, 417736, 437734, 447733, 457732, 467731, 477730, 487729, 507727, 517726, 527725, 537724, 547723, 557722, 577720, 587719, 597718, 607717, 617716, 627715, 647713, 657712, 667711, 677710, 687709, 697708, 717706, 727705, 737704, 747703, 757702, 767701 denominator= 7791 numerators:, 12985, 25970, 51940, 64925 denominator= 7794 numerators:, 12990, 25980, 51960, 64950, 90930, 103920, 129900 denominator= 7797 numerators:, 12995, 25990, 51980, 64975, 90965, 103960, 129950, 142945, 168935, 181930, 207920, 220915, 246905, 259900 denominator= 7821 numerators:, 14220, 46215, 110205, 142200 denominator= 7822 numerators:, 254215, 606205 denominator= 7854 numerators:, 179520, 280500 denominator= 7860 numerators:, 19650 denominator= 7862 numerators:, 19655 denominator= 7864 numerators:, 19660, 137620 denominator= 7866 numerators:, 19665, 137655, 255645, 373635, 491625, 609615, 727605 denominator= 7931 numerators:, 11330, 28325, 45320, 62315, 96305, 113300 denominator= 7942 numerators:, 1444, 14440, 27436, 40432, 53428, 66424, 92416, 105412, 118408, 131404, 144400 denominator= 7943 numerators:, 2444, 13442, 24440, 35438, 46436, 57434, 68432, 90428, 101426, 112424, 123422, 134420, 145418, 156416, 167414, 178412, 189410, 200408, 211406, 233402, 244400 denominator= 7954 numerators:, 258505 denominator= 7990 numerators:, 3995, 11985, 19975, 27965, 35955, 43945, 51935, 59925, 67915, 75905 denominator= 7994 numerators:, 3997, 11991, 19985, 27979, 35973, 43967, 51961, 59955, 67949, 75943, 83937, 91931, 99925, 107919, 115913, 123907, 131901 denominator= 7996 numerators:, 1999, 3998, 5997, 9995, 11994, 13993, 17991, 19990, 21989, 25987, 27986, 29985, 33983, 35982, 37981, 41979, 43978, 45977, 49975, 51974, 53973, 57971, 59970, 61969, 65967, 67966, 69965, 73963, 75962, 77961, 81959, 83958, 85957, 89955, 91954, 93953, 97951, 99950, 101949, 105947, 107946, 109945, 113943, 115942, 117941, 121939, 123938, 125937, 129935, 131934, 133933, 137931, 139930, 141929, 145927, 147926, 149925, 153923, 155922, 157921, 161919, 163918, 165917, 169915, 171914, 173913, 177911, 179910, 181909, 185907, 187906, 189905, 193903, 195902, 197901 denominator= 7998 numerators:, 3999, 11997, 19995, 27993, 35991, 43989, 51987, 59985, 67983, 75981, 83979, 91977, 99975, 107973, 115971, 123969, 131967, 139965, 147963, 155961, 163959, 171957, 179955, 187953, 195951, 203949, 211947, 219945, 227943, 235941, 243939, 251937, 259935, 267933, 275931, 283929, 291927, 299925, 307923, 315921, 323919, 331917, 339915, 347913, 355911, 363909, 371907, 379905, 387903, 395901 denominator= 8044 numerators:, 261430, 623410 denominator= 8050 numerators:, 22540, 51520 denominator= 8055 numerators:, 22554, 51552, 109548, 138546, 167544, 196542, 254538, 283536, 312534, 341532, 399528, 428526, 457524, 486522, 544518, 573516, 602514, 631512, 689508, 718506, 747504, 776502 denominator= 8063 numerators:, 3665, 14660, 25655, 36650, 47645, 58640, 69635, 91625, 102620, 113615, 124610, 135605, 146600 denominator= 8085 numerators:, 28875, 132825, 184800 denominator= 8086 numerators:, 10885, 24880, 38875, 52870, 66865, 94855, 108850, 122845, 136840, 150835, 164830, 178825, 192820, 206815, 220810, 234805, 248800 denominator= 8088 numerators:, 171870, 262860, 353850, 535830, 626820, 717810 denominator= 8091 numerators:, 8990, 17980, 26970, 35960, 44950, 53940, 62930, 71920, 89900 denominator= 8094 numerators:, 26980, 53960, 107920, 134900 denominator= 8097 numerators:, 26990, 53980, 107960, 134950, 188930, 215920, 269900 denominator= 8130 numerators:, 20325 denominator= 8132 numerators:, 20330, 142310 denominator= 8162 numerators:, 4664, 11660, 18656, 25652, 39644, 46640, 53636, 60632, 67628, 74624, 88616, 95612, 102608, 109604, 116600 denominator= 8176 numerators:, 12775, 35770, 58765, 104755, 127750, 150745, 173740, 196735, 219730, 242725, 265720, 288715, 311710, 334705, 357700 denominator= 8184 numerators:, 14880, 148800 denominator= 8220 numerators:, 45210 denominator= 8222 numerators:, 45221, 119219, 193217, 267215, 341213, 415211, 489209, 563207, 637205, 711203, 785201 denominator= 8260 numerators:, 20650, 51625 denominator= 8262 numerators:, 20655 denominator= 8264 numerators:, 20660, 51650, 113630, 144620, 175610 denominator= 8266 numerators:, 20665, 144655, 268645, 392635, 516625, 640615, 764605 denominator= 8330 numerators:, 3332, 13328, 18326, 23324, 28322, 38318, 43316, 48314, 53312, 63308, 68306, 73304, 78302 denominator= 8352 numerators:, 36540, 130500 denominator= 8354 numerators:, 271505 denominator= 8372 numerators:, 25760, 54740, 112700 denominator= 8390 numerators:, 20975, 62925 denominator= 8391 numerators:, 13985, 27970, 55940, 69925 denominator= 8392 numerators:, 20980, 62940, 104900 denominator= 8393 numerators:, 5995, 11990, 17985, 23980, 29975, 35970, 47960, 53955, 59950, 65945, 71940, 77935, 89925, 95920, 101915, 107910, 113905, 119900 denominator= 8394 numerators:, 6995, 13990, 20985, 27980, 34975, 48965, 55960, 62955, 69950, 76945, 90935, 97930, 104925, 111920, 118915, 132905, 139900 denominator= 8396 numerators:, 20990, 62970, 104950, 146930, 188910 denominator= 8397 numerators:, 13995, 27990, 55980, 69975, 97965, 111960, 139950, 153945, 181935, 195930, 223920, 237915, 265905, 279900 denominator= 8398 numerators:, 20995, 62985, 104975, 146965, 188955, 230945, 272935, 314925, 356915, 398905 denominator= 8440 numerators:, 27430, 46420, 65410 denominator= 8442 numerators:, 46431, 122409 denominator= 8444 numerators:, 27443, 46442, 65441, 103439, 122438, 141437, 179435, 198434, 217433, 255431, 274430, 293429, 331427, 350426, 369425, 407423, 426422, 445421, 483419, 502418, 521417, 559415, 578414, 597413, 635411, 654410, 673409, 711407, 730406, 749405, 787403, 806402, 825401 denominator= 8477 numerators:, 193760, 302750, 411740, 520730, 629720, 738710 denominator= 8488 numerators:, 275860, 657820 denominator= 8530 numerators:, 21325 denominator= 8532 numerators:, 21330, 53325, 117315, 149310, 181305 denominator= 8554 numerators:, 19552, 30550, 41548, 52546, 63544, 74542, 96538, 107536, 118534, 129532, 140530, 151528, 173524, 184522, 195520, 206518, 217516, 228514, 250510, 261508, 272506, 283504, 294502, 305500 denominator= 8576 numerators:, 278720 denominator= 8610 numerators:, 24108, 55104 denominator= 8622 numerators:, 280215, 668205 denominator= 8631 numerators:, 12330, 49320, 123300 denominator= 8651 numerators:, 10550, 29540, 48530, 67520, 105500 denominator= 8660 numerators:, 21650, 47630, 73610 denominator= 8662 numerators:, 21655, 47641, 73627, 99613 denominator= 8664 numerators:, 21660, 47652, 73644, 99636, 125628, 151620, 177612, 203604 denominator= 8666 numerators:, 21665, 47663, 73661, 99659, 125657, 151655, 177653, 203651, 229649, 255647, 281645, 307643, 333641, 359639, 385637, 411635, 437633, 463631, 489629, 515627, 541625, 567623, 593621, 619619, 645617, 671615, 697613, 723611, 749609, 775607, 801605, 827603, 853601 denominator= 8687 numerators:, 17885, 40880, 63875, 109865, 132860, 155855, 178850, 201845, 224840, 247835, 270830, 293825, 316820, 339815, 362810, 385805, 408800 denominator= 8691 numerators:, 28970, 57940 denominator= 8694 numerators:, 28980, 57960, 115920, 144900 denominator= 8697 numerators:, 28990, 57980, 115960, 144950, 202930, 231920, 289900 denominator= 8754 numerators:, 284505 denominator= 8785 numerators:, 200800 denominator= 8790 numerators:, 21975, 65925 denominator= 8792 numerators:, 10990, 21980, 32970, 54950, 65940, 76930, 98910, 109900 denominator= 8794 numerators:, 21985, 65955, 109925 denominator= 8796 numerators:, 10995, 21990, 32985, 54975, 65970, 76965, 98955, 109950, 120945, 142935, 153930, 164925, 186915, 197910, 208905 denominator= 8798 numerators:, 21995, 65985, 109975, 153965, 197955, 241945, 285935, 329925, 373915, 417905 denominator= 8844 numerators:, 287430, 685410 denominator= 8862 numerators:, 12660, 31650, 50640, 69630, 107610, 126600 denominator= 8874 numerators:, 41760, 135720, 182700 denominator= 8882 numerators:, 48851 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807 denominator= 8885 numerators:, 24878, 40871, 56864, 72857, 104843, 120836, 136829, 152822, 184808, 200801 denominator= 8886 numerators:, 48873, 128847, 208821 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881, 98879, 108878, 118877, 128876, 138875, 148874, 158873, 178871, 188870, 198869, 208868, 218867, 228866, 238865, 258863, 268862, 278861, 288860, 298859, 308858, 318857, 338855, 348854, 358853, 368852, 378851, 388850, 398849, 418847, 428846, 438845, 448844, 458843, 468842, 478841, 498839, 508838, 518837, 528836, 538835, 548834, 558833, 578831, 588830, 598829, 608828, 618827, 628826, 638825, 658823, 668822, 678821, 688820, 698819, 708818, 718817, 738815, 748814, 758813, 768812, 778811, 788810, 798809, 818807, 828806, 838805, 848804, 858803, 868802, 878801 denominator= 8921 numerators:, 16220, 162200 denominator= 8930 numerators:, 22325 denominator= 8932 numerators:, 22330, 156310 denominator= 8976 numerators:, 190740, 291720, 392700 denominator= 8994 numerators:, 2998, 5996, 11992, 14990, 20986, 23984, 29980, 32978, 38974, 41972, 47968, 50966, 56962, 59960, 65956, 68954, 74950, 77948, 83944, 86942, 92938, 95936, 101932, 104930, 110926, 113924, 119920, 122918, 128914, 131912, 137908, 140906, 146902, 149900 denominator= 8997 numerators:, 2999, 5998, 11996, 14995, 20993, 23992, 29990, 32989, 38987, 41986, 47984, 50983, 56981, 59980, 65978, 68977, 74975, 77974, 83972, 86971, 92969, 95968, 101966, 104965, 110963, 113962, 119960, 122959, 128957, 131956, 137954, 140953, 146951, 149950, 155948, 158947, 164945, 167944, 173942, 176941, 182939, 185938, 191936, 194935, 200933, 203932, 209930, 212929, 218927, 221926, 227924, 230923, 236921, 239920, 245918, 248917, 254915, 257914, 263912, 266911, 272909, 275908, 281906, 284905, 290903, 293902, 299900 denominator= 9022 numerators:, 293215, 699205 denominator= 9042 numerators:, 16440, 53430, 127410, 164400 denominator= 9060 numerators:, 22650, 56625 denominator= 9061 numerators:, 2665, 10660, 18655, 26650, 34645, 42640, 50635, 58630, 66625, 74620, 82615, 98605, 106600 denominator= 9062 numerators:, 22655 denominator= 9064 numerators:, 5665, 22660, 39655, 56650, 73645, 107635, 124630, 141625, 158620, 175615, 192610, 209605 denominator= 9066 numerators:, 22665, 158655, 294645, 430635, 566625, 702615, 838605 denominator= 9073 numerators:, 14770, 33760, 52750, 71740, 109720, 128710, 147700 denominator= 9093 numerators:, 12990, 25980, 38970, 51960, 64950, 77940, 103920, 116910, 129900 denominator= 9110 numerators:, 50105 denominator= 9154 numerators:, 297505 denominator= 9160 numerators:, 3664, 14656, 25648, 47632, 58624, 69616, 80608 denominator= 9163 numerators:, 1666, 6664, 11662, 16660, 21658, 26656, 31654, 41650, 46648, 51646, 56644, 61642, 66640, 71638, 76636, 81634, 86632, 96628, 101626, 106624, 111622, 116620, 121618, 126616, 131614, 136612, 141610, 151606, 156604, 161602, 166600 denominator= 9165 numerators:, 3666, 14664, 25662, 47658, 58656, 69654, 80652, 102648, 113646, 124644, 135642, 157638, 168636, 179634, 190632, 212628, 223626, 234624, 245622, 267618, 278616, 289614, 300612, 322608, 333606, 344604, 355602 denominator= 9170 numerators:, 32750 denominator= 9177 numerators:, 32775, 150765, 209760, 268755, 327750, 386745, 445740, 563730, 622725, 681720, 740715, 799710, 858705 denominator= 9190 numerators:, 22975, 68925 denominator= 9192 numerators:, 22980, 68940, 114900 denominator= 9194 numerators:, 22985, 68955, 114925 denominator= 9196 numerators:, 22990, 68970, 114950, 160930, 206910 denominator= 9198 numerators:, 22995, 68985, 114975, 160965, 206955, 252945, 298935, 344925, 390915, 436905 denominator= 9240 numerators:, 40425 denominator= 9243 numerators:, 28440, 60435, 124425, 156420, 188415, 220410, 252405, 284400 denominator= 9244 numerators:, 196435, 300430, 404425, 612415, 716410, 820405 denominator= 9254 numerators:, 211520, 330500 denominator= 9284 numerators:, 16880, 35870, 54860, 73850, 111830, 130820, 149810, 168800 denominator= 9288 numerators:, 301860, 719820 denominator= 9291 numerators:, 30970, 61940 denominator= 9294 numerators:, 30980, 61960, 123920, 154900 denominator= 9297 numerators:, 30990, 61980, 123960, 154950, 216930, 247920, 309900 denominator= 9330 numerators:, 23325, 51315, 79305 denominator= 9331 numerators:, 1333, 5332, 13330, 17329, 21328, 25327, 29326, 33325, 41323, 45322, 49321, 53320, 57319, 61318, 69316, 73315, 77314, 81313, 85312, 89311, 97309, 101308, 105307, 109306, 113305, 117304, 125302, 129301, 133300 denominator= 9332 numerators:, 2333, 16331, 23330, 30329, 44327, 51326, 58325, 72323, 79322, 86321, 100319, 107318, 114317, 128315, 135314, 142313, 156311, 163310, 170309, 184307, 191306, 198305, 212303, 219302, 226301 denominator= 9376 numerators:, 304720 denominator= 9386 numerators:, 2888, 15884, 28880, 41876, 54872, 67868, 80864, 106856, 119852, 132848, 145844, 158840, 171836, 184832, 197828, 210824, 223820, 236816, 249812, 275804, 288800 denominator= 9422 numerators:, 306215, 730205 denominator= 9440 numerators:, 26432, 43424, 60416, 77408 denominator= 9453 numerators:, 20550, 57540, 131520, 168510, 205500 denominator= 9460 numerators:, 23650 denominator= 9462 numerators:, 23655 denominator= 9464 numerators:, 23660, 165620 denominator= 9466 numerators:, 23665, 165655, 307645, 449635, 591625, 733615, 875605 denominator= 9485 numerators:, 33875, 155825, 216800 denominator= 9550 numerators:, 52525 denominator= 9552 numerators:, 52536, 138504 denominator= 9554 numerators:, 52547, 138533, 224519, 310505 denominator= 9562 numerators:, 13660, 54640, 136600 denominator= 9590 numerators:, 23975, 71925 denominator= 9591 numerators:, 15985, 31970, 63940, 79925 denominator= 9592 numerators:, 5995, 11990, 17985, 23980, 29975, 35970, 41965, 53955, 59950, 65945, 71940, 77935, 83930, 89925, 101915, 107910, 113905, 119900 denominator= 9594 numerators:, 7995, 15990, 23985, 31980, 39975, 55965, 63960, 71955, 79950, 87945, 103935, 111930, 119925, 127920, 135915, 151905, 159900 denominator= 9596 numerators:, 11995, 23990, 35985, 59975, 71970, 83965, 107955, 119950, 131945, 155935, 167930, 179925, 203915, 215910, 227905 denominator= 9597 numerators:, 15995, 31990, 63980, 79975, 111965, 127960, 159950, 175945, 207935, 223930, 255920, 271915, 303905, 319900 denominator= 9598 numerators:, 23995, 71985, 119975, 167965, 215955, 263945, 311935, 359925, 407915, 455905 denominator= 9641 numerators:, 12440, 26435, 40430, 54425, 68420, 82415, 110405, 124400 denominator= 9644 numerators:, 313430, 747410 denominator= 9672 numerators:, 29760 denominator= 9688 numerators:, 205870, 314860, 423850, 641830, 750820, 859810 denominator= 9720 numerators:, 27216, 62208 denominator= 9730 numerators:, 24325 denominator= 9732 numerators:, 24330, 170310 denominator= 9770 numerators:, 53735 denominator= 9772 numerators:, 31759, 53746, 75733, 119707 denominator= 9774 numerators:, 53757, 141723 denominator= 9776 numerators:, 20774, 31772, 42770, 53768, 64766, 75764, 86762, 108758, 119756, 130754, 141752, 152750, 163748, 174746, 196742, 207740, 218738, 229736, 240734, 251732, 262730, 284726, 295724, 306722, 317720, 328718, 339716, 350714, 372710, 383708, 394706, 405704, 416702, 427700 denominator= 9793 numerators:, 6995, 13990, 20985, 27980, 34975, 41970, 55960, 62955, 69950, 76945, 83940, 90935, 104925, 111920, 118915, 125910, 132905, 139900 denominator= 9822 numerators:, 319215, 761205 denominator= 9860 numerators:, 24650, 61625 denominator= 9862 numerators:, 24655 denominator= 9864 numerators:, 24660, 61650, 135630, 172620, 209610 denominator= 9866 numerators:, 24665, 172655, 320645, 468635, 616625, 764615, 912605 denominator= 9877 numerators:, 225760, 352750, 479740, 606730, 733720, 860710 denominator= 9891 numerators:, 10990, 21980, 32970, 43960, 54950, 65940, 76930, 87920, 109900 denominator= 9894 numerators:, 32980, 65960, 131920, 164900 denominator= 9897 numerators:, 32990, 65980, 131960, 164950, 230930, 263920, 329900 denominator= 9952 numerators:, 1555, 15550, 29545, 43540, 57535, 71530, 85525, 113515, 127510, 141505, 155500 denominator= 9954 numerators:, 3555, 35550, 67545, 131535, 163530, 195525, 227520, 259515, 291510, 323505, 355500 denominator= 9982 numerators:, 12880, 41860, 70840, 128800 denominator= 9992 numerators:, 4996, 14988, 24980, 34972, 44964, 54956, 64948, 74940, 84932, 94924, 104916, 114908, 124900 denominator= 9994 numerators:, 4997, 14991, 24985, 34979, 44973, 54967, 64961, 74955, 84949, 94943, 104937, 114931, 124925, 134919, 144913, 154907, 164901 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991, 21989, 23988, 25987, 27986, 31984, 33983, 35982, 37981, 41979, 43978, 45977, 47976, 51974, 53973, 55972, 57971, 61969, 63968, 65967, 67966, 71964, 73963, 75962, 77961, 81959, 83958, 85957, 87956, 91954, 93953, 95952, 97951, 101949, 103948, 105947, 107946, 111944, 113943, 115942, 117941, 121939, 123938, 125937, 127936, 131934, 133933, 135932, 137931, 141929, 143928, 145927, 147926, 151924, 153923, 155922, 157921, 161919, 163918, 165917, 167916, 171914, 173913, 175912, 177911, 181909, 183908, 185907, 187906, 191904, 193903, 195902, 197901 denominator= 9996 numerators:, 4998, 14994, 24990, 34986, 44982, 54978, 64974, 74970, 84966, 94962, 104958, 114954, 124950, 134946, 144942, 154938, 164934, 174930, 184926, 194922, 204918, 214914, 224910, 234906, 244902 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991, 54989, 64987, 74985, 84983, 94981, 104979, 114977, 124975, 134973, 144971, 154969, 164967, 174965, 184963, 194961, 204959, 214957, 224955, 234953, 244951, 254949, 264947, 274945, 284943, 294941, 304939, 314937, 324935, 334933, 344931, 354929, 364927, 374925, 384923, 394921, 404919, 414917, 424915, 434913, 444911, 454909, 464907, 474905, 484903, 494901 ------------------------------------------------------------------------- Section 8 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 3, -th digit of the numerator is cancelled out with the, 1, -th digit of the denominator denominator= 1060 numerators:, 6625, 46375, 66250, 86125 denominator= 1062 numerators:, 66375, 146025 denominator= 1064 numerators:, 6650, 16625, 36575, 46550, 56525, 66500, 76475, 86450, 96425, 116375, 126350, 136325, 146300, 156275, 166250, 176225, 196175, 206150, 216125, 226100, 236075, 246050, 256025 denominator= 1066 numerators:, 66625, 146575, 226525, 306475, 386425, 466375, 546325, 626275, 706225, 786175, 866125, 946075, 1026025 denominator= 1085 numerators:, 38750, 178250, 248000 denominator= 1154 numerators:, 245225 denominator= 1162 numerators:, 6640, 16600, 26560, 36520, 56440, 66400, 76360, 86320, 96280, 106240, 126160, 136120, 146080, 156040, 166000 denominator= 1191 numerators:, 9925, 19850, 39700, 49625, 69475, 79400, 99250, 109175, 129025 denominator= 1194 numerators:, 9950, 19900, 39800, 49750, 69650, 79600, 99500, 109450, 129350, 139300, 159200, 169150, 189050, 199000 denominator= 1197 numerators:, 9975, 19950, 39900, 49875, 69825, 79800, 99750, 109725, 129675, 139650, 159600, 169575, 189525, 199500, 219450, 229425, 249375, 259350, 279300, 289275, 309225, 319200, 339150, 349125, 369075, 379050, 399000 denominator= 1221 numerators:, 2220, 22200, 32190, 42180, 52170, 62160, 72150, 82140, 92130, 102120, 112110, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 1240 numerators:, 54250 denominator= 1244 numerators:, 54425, 194375, 264350, 334325, 474275, 544250, 614225, 754175, 824150, 894125, 1034075, 1104050, 1174025 denominator= 1330 numerators:, 3325, 23275, 43225, 63175, 83125, 103075, 123025 denominator= 1332 numerators:, 3330, 23310, 43290, 63270, 83250, 103230, 123210, 143190, 163170, 183150, 203130, 223110, 243090, 263070, 283050, 303030, 323010 denominator= 1342 numerators:, 24400, 244000 denominator= 1380 numerators:, 8832, 18768, 28704, 48576, 58512, 68448, 78384, 98256, 108192, 118128, 128064 denominator= 1385 numerators:, 8864, 18836, 28808, 48752, 58724, 68696, 78668, 98612, 108584, 118556, 128528, 148472, 158444, 168416, 178388, 198332, 208304, 218276, 228248, 248192, 258164, 268136, 278108, 298052, 308024 denominator= 1393 numerators:, 9950, 19900, 29850, 39800, 49750, 59700, 79600, 89550, 99500, 109450, 119400, 129350, 149250, 159200, 169150, 179100, 189050, 199000 denominator= 1420 numerators:, 62125 denominator= 1422 numerators:, 302175, 622125, 942075, 1262025 denominator= 1443 numerators:, 4440, 24420, 34410, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 414030, 424020, 434010, 444000 denominator= 1463 numerators:, 6650, 16625, 26600, 46550, 56525, 66500, 76475, 86450, 96425, 106400, 116375, 126350, 136325, 156275, 166250, 176225, 186200, 196175, 206150, 216125, 226100, 236075, 246050, 266000 denominator= 1477 numerators:, 337600, 527500, 717400, 907300, 1097200, 1287100 denominator= 1491 numerators:, 9940, 19880, 39760, 49700, 69580, 79520, 99400, 109340, 129220, 139160, 159040 denominator= 1494 numerators:, 9960, 19920, 39840, 49800, 69720, 79680, 99600, 109560, 129480, 139440, 159360, 169320, 189240, 199200, 219120, 229080, 249000 denominator= 1497 numerators:, 9980, 19960, 39920, 49900, 69860, 79840, 99800, 109780, 129740, 139720, 159680, 169660, 189620, 199600, 219560, 229540, 249500, 259480, 279440, 289420, 309380, 319360, 339320, 349300, 369260, 379240, 399200, 409180, 429140, 439120, 459080, 469060, 489020, 499000 denominator= 1554 numerators:, 5550, 25530, 35520, 45510, 55500, 65490, 75480, 95460, 105450, 115440, 125430, 135420, 145410, 165390, 175380, 185370, 195360, 205350, 215340, 235320, 245310, 255300, 265290, 275280, 285270, 305250, 315240, 325230, 335220, 345210, 355200, 375180, 385170, 395160, 405150, 415140, 425130, 445110, 455100, 465090, 475080, 485070, 495060, 515040, 525030, 535020, 545010, 555000 denominator= 1584 numerators:, 28800, 288000 denominator= 1586 numerators:, 48800, 268400, 378200, 488000 denominator= 1590 numerators:, 19875, 59625, 99375, 139125 denominator= 1592 numerators:, 9950, 19900, 29850, 49750, 59700, 69650, 89550, 99500, 109450, 129350, 139300, 149250, 169150, 179100, 189050 denominator= 1594 numerators:, 19925, 59775, 99625, 139475, 179325, 219175, 259025 denominator= 1596 numerators:, 9975, 19950, 29925, 49875, 59850, 69825, 89775, 99750, 109725, 129675, 139650, 149625, 169575, 179550, 189525, 209475, 219450, 229425, 249375, 259350, 269325, 289275, 299250, 309225, 329175, 339150, 349125, 369075, 379050, 389025 denominator= 1598 numerators:, 19975, 59925, 99875, 139825, 179775, 219725, 259675, 299625, 339575, 379525, 419475, 459425, 499375, 539325, 579275, 619225, 659175, 699125, 739075, 779025 denominator= 1631 numerators:, 23300, 93200, 233000 denominator= 1686 numerators:, 358275 denominator= 1688 numerators:, 358700, 738500, 1118300, 1498100 denominator= 1770 numerators:, 57525, 137175 denominator= 1772 numerators:, 37655, 57590, 77525, 117395, 137330, 157265, 197135, 217070, 237005 denominator= 1774 numerators:, 57655, 137485, 217315, 297145 denominator= 1776 numerators:, 7770, 27750, 37740, 47730, 57720, 67710, 77700, 87690, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 747030, 757020, 767010, 777000 denominator= 1785 numerators:, 408000 denominator= 1791 numerators:, 9950, 19900, 29850, 39800, 49750, 59700, 69650, 79600, 99500, 109450, 119400, 129350, 139300, 149250, 159200, 169150, 189050, 199000 denominator= 1794 numerators:, 29900, 59800, 119600, 149500, 209300, 239200, 299000 denominator= 1797 numerators:, 29950, 59900, 119800, 149750, 209650, 239600, 299500, 329450, 389350, 419300, 479200, 509150, 569050, 599000 denominator= 1860 numerators:, 116250 denominator= 1862 numerators:, 6650, 16625, 26600, 36575, 56525, 66500, 76475, 86450, 96425, 106400, 116375, 126350, 136325, 146300, 156275, 166250, 176225, 196175, 206150, 216125, 226100, 236075, 246050, 256025, 266000 denominator= 1864 numerators:, 116500, 256300, 396100 denominator= 1866 numerators:, 116625, 256575, 396525, 536475, 676425, 816375, 956325, 1096275, 1236225, 1376175, 1516125, 1656075, 1796025 denominator= 1872 numerators:, 57600 denominator= 1887 numerators:, 8880, 28860, 38850, 48840, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 878010, 888000 denominator= 1952 numerators:, 85400, 305000 denominator= 1954 numerators:, 415225 denominator= 2044 numerators:, 434350, 894250, 1354150, 1814050 denominator= 2074 numerators:, 97600, 317200, 427000 denominator= 2091 numerators:, 69700, 139400 denominator= 2093 numerators:, 29900, 59800, 89700, 119600, 149500, 179400, 239200, 269100, 299000 denominator= 2094 numerators:, 69800, 139600, 279200, 349000 denominator= 2097 numerators:, 69900, 139800, 279600, 349500, 489300, 559200, 699000 denominator= 2130 numerators:, 133125 denominator= 2132 numerators:, 13325, 93275, 133250, 173225, 253175, 293150, 333125, 413075, 453050, 493025 denominator= 2170 numerators:, 7750, 77500, 147250 denominator= 2177 numerators:, 7775, 77750, 147725, 287675, 357650, 427625, 497600, 567575, 637550, 777500, 847475, 917450, 987425, 1057400, 1127375, 1267325, 1337300, 1407275, 1477250, 1547225, 1617200, 1757150, 1827125, 1897100, 1967075, 2037050, 2107025 denominator= 2220 numerators:, 12210, 32190, 52170, 72150, 92130, 112110, 132090, 152070, 172050, 192030, 212010 denominator= 2254 numerators:, 515200, 805000 denominator= 2261 numerators:, 6650, 16625, 26600, 36575, 46550, 66500, 76475, 86450, 96425, 106400, 116375, 126350, 136325, 146300, 156275, 166250, 176225, 186200, 196175, 206150, 216125, 236075, 246050, 256025, 266000 denominator= 2321 numerators:, 42200, 422000 denominator= 2331 numerators:, 3330, 13320, 33300, 43290, 53280, 63270, 73260, 83250, 103230, 113220, 123210, 133200, 143190, 153180, 173160, 183150, 193140, 203130, 213120, 223110, 243090, 253080, 263070, 273060, 283050, 293040, 313020, 323010, 333000 denominator= 2390 numerators:, 29875, 89625, 149375, 209125 denominator= 2391 numerators:, 19925, 39850, 79700, 99625, 139475, 159400, 199250, 219175, 259025 denominator= 2392 numerators:, 29900, 89700, 149500, 209300, 269100 denominator= 2394 numerators:, 9975, 19950, 29925, 39900, 49875, 69825, 79800, 89775, 99750, 109725, 129675, 139650, 149625, 159600, 169575, 189525, 199500, 209475, 219450, 229425, 249375, 259350, 269325, 279300, 289275, 309225, 319200, 329175, 339150, 349125, 369075, 379050, 389025, 399000 denominator= 2396 numerators:, 29950, 89850, 149750, 209650, 269550, 329450, 389350, 449250, 509150, 569050 denominator= 2397 numerators:, 19975, 39950, 79900, 99875, 139825, 159800, 199750, 219725, 259675, 279650, 319600, 339575, 379525, 399500, 439450, 459425, 499375, 519350, 559300, 579275, 619225, 639200, 679150, 699125, 739075, 759050, 799000 denominator= 2398 numerators:, 29975, 89925, 149875, 209825, 269775, 329725, 389675, 449625, 509575, 569525, 629475, 689425, 749375, 809325, 869275, 929225, 989175, 1049125, 1109075, 1169025 denominator= 2442 numerators:, 4440, 14430, 34410, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 2480 numerators:, 38750, 108500, 178250 denominator= 2484 numerators:, 108675, 388125 denominator= 2485 numerators:, 8875, 88750, 168625, 328375, 408250, 488125, 568000 denominator= 2486 numerators:, 528275 denominator= 2488 numerators:, 38875, 108850, 178825, 318775, 388750, 458725, 528700, 598675, 668650, 738625, 878575, 948550, 1018525, 1088500, 1158475, 1228450, 1298425, 1438375, 1508350, 1578325, 1648300, 1718275, 1788250, 1858225, 1998175, 2068150, 2138125, 2208100, 2278075, 2348050, 2418025 denominator= 2553 numerators:, 5550, 15540, 35520, 45510, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 2562 numerators:, 36600, 146400, 366000 denominator= 2563 numerators:, 46600, 116500, 186400, 326200, 396100, 466000 denominator= 2576 numerators:, 547400, 1127000 denominator= 2660 numerators:, 6650, 16625, 36575, 46550, 56525, 76475, 86450, 96425, 116375, 126350, 136325, 156275, 166250, 176225, 196175, 206150, 216125, 236075, 246050, 256025 denominator= 2662 numerators:, 6655, 46585, 86515, 126445, 166375, 206305, 246235, 286165, 326095, 366025 denominator= 2664 numerators:, 6660, 16650, 36630, 46620, 56610, 76590, 86580, 96570, 116550, 126540, 136530, 156510, 166500, 176490, 196470, 206460, 216450, 236430, 246420, 256410, 276390, 286380, 296370, 316350, 326340, 336330, 356310, 366300, 376290, 396270, 406260, 416250, 436230, 446220, 456210, 476190, 486180, 496170, 516150, 526140, 536130, 556110, 566100, 576090, 596070, 606060, 616050, 636030, 646020, 656010 denominator= 2666 numerators:, 6665, 46655, 86645, 126635, 166625, 206615, 246605, 286595, 326585, 366575, 406565, 446555, 486545, 526535, 566525, 606515, 646505, 686495, 726485, 766475, 806465, 846455, 886445, 926435, 966425, 1006415, 1046405, 1086395, 1126385, 1166375, 1206365, 1246355, 1286345, 1326335, 1366325, 1406315, 1446305, 1486295, 1526285, 1566275, 1606265, 1646255, 1686245, 1726235, 1766225, 1806215, 1846205, 1886195, 1926185, 1966175, 2006165, 2046155, 2086145, 2126135, 2166125, 2206115, 2246105, 2286095, 2326085, 2366075, 2406065, 2446055, 2486045, 2526035, 2566025, 2606015, 2646005 denominator= 2684 numerators:, 48800, 158600, 378200, 488000 denominator= 2691 numerators:, 29900, 59800, 89700, 119600, 149500, 179400, 209300, 239200, 299000 denominator= 2694 numerators:, 89800, 179600, 359200, 449000 denominator= 2697 numerators:, 89900, 179800, 359600, 449500, 629300, 719200, 899000 denominator= 2743 numerators:, 84400, 464200, 654100, 844000 denominator= 2754 numerators:, 585225 denominator= 2770 numerators:, 7756, 17728, 37672, 47644, 57616, 67588, 87532, 97504, 107476, 117448, 137392, 147364, 157336, 167308, 187252, 197224, 207196, 217168, 237112, 247084, 257056, 267028 denominator= 2775 numerators:, 7770, 17760, 37740, 47730, 57720, 67710, 87690, 97680, 107670, 117660, 137640, 147630, 157620, 167610, 187590, 197580, 207570, 217560, 237540, 247530, 257520, 267510, 287490, 297480, 307470, 317460, 337440, 347430, 357420, 367410, 387390, 397380, 407370, 417360, 437340, 447330, 457320, 467310, 487290, 497280, 507270, 517260, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 637140, 647130, 657120, 667110, 687090, 697080, 707070, 717060, 737040, 747030, 757020, 767010 denominator= 2793 numerators:, 9975, 19950, 29925, 39900, 49875, 59850, 79800, 89775, 99750, 109725, 119700, 129675, 149625, 159600, 169575, 179550, 189525, 199500, 219450, 229425, 239400, 249375, 259350, 269325, 289275, 299250, 309225, 319200, 329175, 339150, 359100, 369075, 379050, 389025, 399000 denominator= 2840 numerators:, 44375, 124250, 204125 denominator= 2844 numerators:, 124425, 444375, 604350, 764325, 1084275, 1244250, 1404225, 1724175, 1884150, 2044125, 2364075, 2524050, 2684025 denominator= 2877 numerators:, 657600, 1027500, 1397400, 1767300, 2137200, 2507100 denominator= 2886 numerators:, 8880, 18870, 38850, 48840, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 2930 numerators:, 183125 denominator= 2932 numerators:, 183250, 403150, 623050 denominator= 2954 numerators:, 105500, 485300, 675200, 865100, 1055000 denominator= 2991 numerators:, 9970, 19940, 39880, 49850, 69790, 79760, 99700, 109670, 129610, 139580, 159520, 169490, 189430, 199400, 219340, 229310, 249250, 259220, 279160, 289130, 309070, 319040 denominator= 2994 numerators:, 9980, 19960, 39920, 49900, 69860, 79840, 99800, 109780, 129740, 139720, 159680, 169660, 189620, 199600, 219560, 229540, 249500, 259480, 279440, 289420, 309380, 319360, 339320, 349300, 369260, 379240, 399200, 409180, 429140, 439120, 459080, 469060, 489020, 499000 denominator= 2997 numerators:, 9990, 19980, 39960, 49950, 69930, 79920, 99900, 109890, 129870, 139860, 159840, 169830, 189810, 199800, 219780, 229770, 249750, 259740, 279720, 289710, 309690, 319680, 339660, 349650, 369630, 379620, 399600, 409590, 429570, 439560, 459540, 469530, 489510, 499500, 519480, 529470, 549450, 559440, 579420, 589410, 609390, 619380, 639360, 649350, 669330, 679320, 699300, 709290, 729270, 739260, 759240, 769230, 789210, 799200, 819180, 829170, 849150, 859140, 879120, 889110, 909090, 919080, 939060, 949050, 969030, 979020, 999000 denominator= 3020 numerators:, 132125 denominator= 3022 numerators:, 642175, 1322125, 2002075, 2682025 denominator= 3031 numerators:, 43300, 173200, 433000 denominator= 3110 numerators:, 101075, 241025 denominator= 3172 numerators:, 97600, 207400, 427000 denominator= 3185 numerators:, 728000 denominator= 3190 numerators:, 39875, 119625, 199375, 279125 denominator= 3192 numerators:, 9975, 19950, 29925, 39900, 49875, 59850, 69825, 89775, 99750, 109725, 119700, 129675, 139650, 149625, 169575, 179550, 189525, 199500, 209475, 219450, 229425, 249375, 259350, 269325, 279300, 289275, 299250, 309225, 329175, 339150, 349125, 359100, 369075, 379050, 389025 denominator= 3194 numerators:, 39925, 119775, 199625, 279475, 359325, 439175, 519025 denominator= 3196 numerators:, 19975, 39950, 59925, 99875, 119850, 139825, 179775, 199750, 219725, 259675, 279650, 299625, 339575, 359550, 379525, 419475, 439450, 459425, 499375, 519350, 539325, 579275, 599250, 619225, 659175, 679150, 699125, 739075, 759050, 779025 denominator= 3198 numerators:, 39975, 119925, 199875, 279825, 359775, 439725, 519675, 599625, 679575, 759525, 839475, 919425, 999375, 1079325, 1159275, 1239225, 1319175, 1399125, 1479075, 1559025 denominator= 3262 numerators:, 46600, 116500, 186400, 256300, 396100, 466000 denominator= 3286 numerators:, 698275 denominator= 3288 numerators:, 698700, 1438500, 2178300, 2918100 denominator= 3291 numerators:, 109700, 219400 denominator= 3294 numerators:, 109800, 219600, 439200, 549000 denominator= 3297 numerators:, 109900, 219800, 439600, 549500, 769300, 879200, 1099000 denominator= 3372 numerators:, 147525 denominator= 3376 numerators:, 147700, 527500, 717400, 907300, 1287100, 1477000 denominator= 3421 numerators:, 62200, 132175, 202150, 272125, 412075, 482050, 552025, 622000 denominator= 3441 numerators:, 4440, 14430, 24420, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 3460 numerators:, 216250 denominator= 3462 numerators:, 216375, 476025 denominator= 3464 numerators:, 216500, 476300, 736100 denominator= 3466 numerators:, 216625, 476575, 736525, 996475, 1256425, 1516375, 1776325, 2036275, 2296225, 2556175, 2816125, 3076075, 3336025 denominator= 3493 numerators:, 9980, 19960, 29940, 39920, 49900, 59880, 79840, 89820, 99800, 109780, 119760, 129740, 149700, 159680, 169660, 179640, 189620, 199600, 219560, 229540, 239520, 249500, 259480, 269460, 289420, 299400, 309380, 319360, 329340, 339320, 359280, 369260, 379240, 389220, 399200, 409180, 429140, 439120, 449100, 459080, 469060, 479040, 499000 denominator= 3542 numerators:, 64400, 644000 denominator= 3550 numerators:, 115375, 275125 denominator= 3552 numerators:, 5550, 15540, 25530, 45510, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 525030, 535020, 545010, 555000 denominator= 3554 numerators:, 115505, 275435, 435365, 595295, 755225, 915155, 1075085, 1235015 denominator= 3570 numerators:, 127500 denominator= 3577 numerators:, 127750, 587650, 817600, 1047550, 1277500, 1507450, 1737400, 2197300, 2427250, 2657200, 2887150, 3117100, 3347050 denominator= 3587 numerators:, 168800, 548600, 738500, 928400, 1118300, 1308200, 1498100, 1688000 denominator= 3591 numerators:, 9975, 19950, 29925, 39900, 49875, 59850, 69825, 79800, 99750, 109725, 119700, 129675, 139650, 149625, 159600, 169575, 189525, 199500, 209475, 219450, 229425, 239400, 249375, 259350, 279300, 289275, 299250, 309225, 319200, 329175, 339150, 349125, 369075, 379050, 389025, 399000 denominator= 3594 numerators:, 29950, 59900, 119800, 149750, 209650, 239600, 299500, 329450, 389350, 419300, 479200, 509150, 569050, 599000 denominator= 3597 numerators:, 29975, 59950, 119900, 149875, 209825, 239800, 299750, 329725, 389675, 419650, 479600, 509575, 569525, 599500, 659450, 689425, 749375, 779350, 839300, 869275, 929225, 959200, 1019150, 1049125, 1109075, 1139050, 1199000 denominator= 3644 numerators:, 774350, 1594250, 2414150, 3234050 denominator= 3654 numerators:, 835200, 1305000 denominator= 3663 numerators:, 6660, 16650, 26640, 46620, 56610, 66600, 76590, 86580, 96570, 106560, 116550, 126540, 136530, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 226440, 236430, 246420, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 346320, 356310, 376290, 386280, 396270, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 566100, 576090, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 3730 numerators:, 233125 denominator= 3731 numerators:, 13325, 53300, 133250, 173225, 213200, 253175, 293150, 333125, 413075, 453050, 493025, 533000 denominator= 3732 numerators:, 23325, 163275, 233250, 303225, 443175, 513150, 583125, 723075, 793050, 863025 denominator= 3774 numerators:, 7770, 17760, 27750, 47730, 57720, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 3782 numerators:, 48800, 158600, 268400, 488000 denominator= 3784 numerators:, 68800, 688000 denominator= 3822 numerators:, 812175, 1672125, 2532075, 3392025 denominator= 3885 numerators:, 8880, 18870, 28860, 48840, 58830, 68820, 78810, 88800, 98790, 118770, 128760, 138750, 148740, 158730, 168720, 188700, 198690, 208680, 218670, 228660, 238650, 258630, 268620, 278610, 288600, 298590, 308580, 328560, 338550, 348540, 358530, 368520, 378510, 398490, 408480, 418470, 428460, 438450, 448440, 468420, 478410, 488400, 498390, 508380, 518370, 538350, 548340, 558330, 568320, 578310, 588300, 608280, 618270, 628260, 638250, 648240, 658230, 678210, 688200, 698190, 708180, 718170, 728160, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 888000 denominator= 3891 numerators:, 129700, 259400 denominator= 3894 numerators:, 129800, 259600, 519200, 649000 denominator= 3897 numerators:, 129900, 259800, 519600, 649500, 909300, 1039200, 1299000 denominator= 3961 numerators:, 46600, 116500, 186400, 256300, 326200, 466000 denominator= 3962 numerators:, 56600, 226400, 566000 denominator= 3990 numerators:, 9975, 29925, 49875, 69825, 89775, 109725, 129675, 149625, 169575, 189525, 209475, 229425, 249375, 269325, 289275, 309225, 329175, 349125, 369075, 389025 denominator= 3992 numerators:, 9980, 29940, 49900, 69860, 89820, 109780, 129740, 149700, 169660, 189620, 209580, 229540, 249500, 269460, 289420, 309380, 329340, 349300, 369260, 389220, 409180, 429140, 449100, 469060, 489020 denominator= 3994 numerators:, 9985, 29955, 49925, 69895, 89865, 109835, 129805, 149775, 169745, 189715, 209685, 229655, 249625, 269595, 289565, 309535, 329505, 349475, 369445, 389415, 409385, 429355, 449325, 469295, 489265, 509235, 529205, 549175, 569145, 589115, 609085, 629055, 649025 denominator= 3996 numerators:, 9990, 29970, 49950, 69930, 89910, 109890, 129870, 149850, 169830, 189810, 209790, 229770, 249750, 269730, 289710, 309690, 329670, 349650, 369630, 389610, 409590, 429570, 449550, 469530, 489510, 509490, 529470, 549450, 569430, 589410, 609390, 629370, 649350, 669330, 689310, 709290, 729270, 749250, 769230, 789210, 809190, 829170, 849150, 869130, 889110, 909090, 929070, 949050, 969030, 989010 denominator= 3998 numerators:, 9995, 29985, 49975, 69965, 89955, 109945, 129935, 149925, 169915, 189905, 209895, 229885, 249875, 269865, 289855, 309845, 329835, 349825, 369815, 389805, 409795, 429785, 449775, 469765, 489755, 509745, 529735, 549725, 569715, 589705, 609695, 629685, 649675, 669665, 689655, 709645, 729635, 749625, 769615, 789605, 809595, 829585, 849575, 869565, 889555, 909545, 929535, 949525, 969515, 989505, 1009495, 1029485, 1049475, 1069465, 1089455, 1109445, 1129435, 1149425, 1169415, 1189405, 1209395, 1229385, 1249375, 1269365, 1289355, 1309345, 1329335, 1349325, 1369315, 1389305, 1409295, 1429285, 1449275, 1469265, 1489255, 1509245, 1529235, 1549225, 1569215, 1589205, 1609195, 1629185, 1649175, 1669165, 1689155, 1709145, 1729135, 1749125, 1769115, 1789105, 1809095, 1829085, 1849075, 1869065, 1889055, 1909045, 1929035, 1949025, 1969015, 1989005 denominator= 4043 numerators:, 54425, 124400, 194375, 264350, 334325, 474275, 544250, 614225, 684200, 754175, 824150, 894125, 964100, 1034075, 1104050, 1174025, 1244000 denominator= 4080 numerators:, 178500 denominator= 4084 numerators:, 178675, 638125 denominator= 4086 numerators:, 868275 denominator= 4088 numerators:, 178850, 638750, 868700, 1098650, 1558550, 1788500, 2018450, 2478350, 2708300, 2938250, 3398150, 3628100, 3858050 denominator= 4160 numerators:, 6656, 26624, 36608, 46592, 56576, 76544, 86528, 96512, 106496, 126464, 136448, 146432, 156416, 176384, 186368, 196352, 206336, 226304, 236288, 246272, 256256, 276224, 286208, 296192, 306176, 326144, 336128, 346112, 356096, 376064, 386048, 396032, 406016 denominator= 4165 numerators:, 6664, 26656, 36652, 46648, 56644, 76636, 86632, 96628, 106624, 126616, 136612, 146608, 156604, 176596, 186592, 196588, 206584, 226576, 236572, 246568, 256564, 276556, 286552, 296548, 306544, 326536, 336532, 346528, 356524, 376516, 386512, 396508, 406504, 426496, 436492, 446488, 456484, 476476, 486472, 496468, 506464, 526456, 536452, 546448, 556444, 576436, 586432, 596428, 606424, 626416, 636412, 646408, 656404, 676396, 686392, 696388, 706384, 726376, 736372, 746368, 756364, 776356, 786352, 796348, 806344, 826336, 836332, 846328, 856324, 876316, 886312, 896308, 906304, 926296, 936292, 946288, 956284, 976276, 986272, 996268, 1006264, 1026256, 1036252, 1046248, 1056244, 1076236, 1086232, 1096228, 1106224, 1126216, 1136212, 1146208, 1156204, 1176196, 1186192, 1196188, 1206184, 1226176, 1236172, 1246168, 1256164, 1276156, 1286152, 1296148, 1306144, 1326136, 1336132, 1346128, 1356124, 1376116, 1386112, 1396108, 1406104, 1426096, 1436092, 1446088, 1456084, 1476076, 1486072, 1496068, 1506064, 1526056, 1536052, 1546048, 1556044, 1576036, 1586032, 1596028, 1606024, 1626016, 1636012, 1646008, 1656004 denominator= 4176 numerators:, 887400, 1827000 denominator= 4186 numerators:, 128800, 708400, 998200, 1288000 denominator= 4191 numerators:, 69850, 139700, 279400, 349250 denominator= 4193 numerators:, 29950, 59900, 89850, 119800, 149750, 179700, 239600, 269550, 299500, 329450, 359400, 389350, 449250, 479200, 509150, 539100, 569050, 599000 denominator= 4194 numerators:, 69900, 139800, 279600, 349500, 489300, 559200, 699000 denominator= 4197 numerators:, 69950, 139900, 279800, 349750, 489650, 559600, 699500, 769450, 909350, 979300, 1119200, 1189150, 1329050, 1399000 denominator= 4260 numerators:, 26625, 186375, 266250, 346125 denominator= 4262 numerators:, 266375, 586025 denominator= 4264 numerators:, 26650, 66625, 146575, 186550, 226525, 266500, 306475, 346450, 386425, 466375, 506350, 546325, 586300, 626275, 666250, 706225, 786175, 826150, 866125, 906100, 946075, 986050, 1026025 denominator= 4266 numerators:, 266625, 586575, 906525, 1226475, 1546425, 1866375, 2186325, 2506275, 2826225, 3146175, 3466125, 3786075, 4106025 denominator= 4270 numerators:, 97600, 207400, 317200 denominator= 4277 numerators:, 97760, 207740, 317720, 537680, 647660, 757640, 867620, 977600, 1087580, 1307540, 1417520, 1527500, 1637480, 1747460, 1857440, 2077400, 2187380, 2297360, 2407340, 2517320, 2627300, 2847260, 2957240, 3067220, 3177200, 3287180, 3397160, 3617120, 3727100, 3837080, 3947060, 4057040, 4167020 denominator= 4354 numerators:, 15550, 85525, 155500, 225475, 295450, 365425, 505375, 575350, 645325, 715300, 785275, 855250, 925225, 995200, 1065175, 1135150, 1205125, 1275100, 1345075, 1485025, 1555000 denominator= 4431 numerators:, 63300, 253200, 633000 denominator= 4440 numerators:, 14430, 24420, 34410, 54390, 64380, 74370, 94350, 104340, 114330, 134310, 144300, 154290, 174270, 184260, 194250, 214230, 224220, 234210, 254190, 264180, 274170, 294150, 304140, 314130, 334110, 344100, 354090, 374070, 384060, 394050, 414030, 424020, 434010 denominator= 4442 numerators:, 24431, 64409, 104387, 144365, 184343, 224321, 264299, 304277, 344255, 384233, 424211, 464189, 504167, 544145, 584123, 624101, 664079, 704057, 744035, 784013 denominator= 4472 numerators:, 137600 denominator= 4491 numerators:, 9980, 19960, 29940, 39920, 49900, 59880, 69860, 79840, 99800, 109780, 119760, 129740, 139720, 149700, 159680, 169660, 189620, 199600, 209580, 219560, 229540, 239520, 249500, 259480, 279440, 289420, 299400, 309380, 319360, 329340, 339320, 349300, 369260, 379240, 389220, 399200, 409180, 419160, 429140, 439120, 459080, 469060, 479040, 489020, 499000 denominator= 4494 numerators:, 29960, 59920, 119840, 149800, 209720, 239680, 299600, 329560, 389480, 419440, 479360, 509320, 569240, 599200, 659120, 689080, 749000 denominator= 4497 numerators:, 29980, 59960, 119920, 149900, 209860, 239840, 299800, 329780, 389740, 419720, 479680, 509660, 569620, 599600, 659560, 689540, 749500, 779480, 839440, 869420, 929380, 959360, 1019320, 1049300, 1109260, 1139240, 1199200, 1229180, 1289140, 1319120, 1379080, 1409060, 1469020, 1499000 denominator= 4521 numerators:, 82200, 822000 denominator= 4530 numerators:, 283125 denominator= 4532 numerators:, 283250, 623150, 963050 denominator= 4551 numerators:, 5550, 15540, 25530, 35520, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 465090, 475080, 485070, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 4585 numerators:, 1048000 denominator= 4620 numerators:, 202125 denominator= 4622 numerators:, 982175, 2022125, 3062075, 4102025 denominator= 4642 numerators:, 84400, 274300, 654100, 844000 denominator= 4662 numerators:, 6660, 16650, 26640, 36630, 56610, 66600, 76590, 86580, 96570, 106560, 126540, 136530, 146520, 156510, 166500, 176490, 196470, 206460, 216450, 226440, 236430, 246420, 266400, 276390, 286380, 296370, 306360, 316350, 336330, 346320, 356310, 366300, 376290, 386280, 406260, 416250, 426240, 436230, 446220, 456210, 476190, 486180, 496170, 506160, 516150, 526140, 546120, 556110, 566100, 576090, 586080, 596070, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 4763 numerators:, 86600, 216500, 346400, 606200, 736100, 866000 denominator= 4773 numerators:, 7770, 17760, 27750, 37740, 57720, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 4790 numerators:, 59875, 179625, 299375, 419125 denominator= 4791 numerators:, 39925, 79850, 159700, 199625, 279475, 319400, 399250, 439175, 519025 denominator= 4792 numerators:, 29950, 59900, 89850, 149750, 179700, 209650, 269550, 299500, 329450, 389350, 419300, 449250, 509150, 539100, 569050 denominator= 4794 numerators:, 19975, 39950, 59925, 79900, 99875, 139825, 159800, 179775, 199750, 219725, 259675, 279650, 299625, 319600, 339575, 379525, 399500, 419475, 439450, 459425, 499375, 519350, 539325, 559300, 579275, 619225, 639200, 659175, 679150, 699125, 739075, 759050, 779025, 799000 denominator= 4796 numerators:, 29975, 59950, 89925, 149875, 179850, 209825, 269775, 299750, 329725, 389675, 419650, 449625, 509575, 539550, 569525, 629475, 659450, 689425, 749375, 779350, 809325, 869275, 899250, 929225, 989175, 1019150, 1049125, 1109075, 1139050, 1169025 denominator= 4797 numerators:, 39975, 79950, 159900, 199875, 279825, 319800, 399750, 439725, 519675, 559650, 639600, 679575, 759525, 799500, 879450, 919425, 999375, 1039350, 1119300, 1159275, 1239225, 1279200, 1359150, 1399125, 1479075, 1519050, 1599000 denominator= 4798 numerators:, 59975, 179925, 299875, 419825, 539775, 659725, 779675, 899625, 1019575, 1139525, 1259475, 1379425, 1499375, 1619325, 1739275, 1859225, 1979175, 2099125, 2219075, 2339025 denominator= 4853 numerators:, 105500, 295400, 675200, 865100, 1055000 denominator= 4880 numerators:, 158600, 378200 denominator= 4882 numerators:, 158665, 378355, 598045 denominator= 4884 numerators:, 8880, 18870, 28860, 38850, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 4886 numerators:, 158795, 378665, 598535, 818405, 1038275, 1258145, 1478015 denominator= 4888 numerators:, 158860, 378820, 598780, 818740, 1038700, 1258660, 1478620, 1698580, 1918540, 2138500, 2358460, 2578420, 2798380, 3018340, 3238300, 3458260, 3678220, 3898180, 4118140, 4338100, 4558060, 4778020 denominator= 4893 numerators:, 69900, 139800, 209700, 279600, 349500, 419400, 559200, 629100, 699000 denominator= 4970 numerators:, 17750, 97625, 177500, 257375, 337250, 417125 denominator= 4972 numerators:, 217525 denominator= 4976 numerators:, 7775, 77750, 147725, 217700, 287675, 357650, 427625, 567575, 637550, 707525, 777500, 847475, 917450, 987425, 1057400, 1127375, 1197350, 1267325, 1337300, 1407275, 1477250, 1547225, 1687175, 1757150, 1827125, 1897100, 1967075, 2037050, 2107025, 2177000 denominator= 4977 numerators:, 17775, 177750, 337725, 657675, 817650, 977625, 1137600, 1297575, 1457550, 1777500, 1937475, 2097450, 2257425, 2417400, 2577375, 2897325, 3057300, 3217275, 3377250, 3537225, 3697200, 4017150, 4177125, 4337100, 4497075, 4657050, 4817025 denominator= 5054 numerators:, 115520, 245480, 375440, 635360, 765320, 895280, 1025240, 1155200, 1285160, 1545080, 1675040, 1805000 denominator= 5060 numerators:, 316250 denominator= 5062 numerators:, 316375, 696025 denominator= 5064 numerators:, 316500, 696300, 1076100 denominator= 5066 numerators:, 316625, 696575, 1076525, 1456475, 1836425, 2216375, 2596325, 2976275, 3356225, 3736175, 4116125, 4496075, 4876025 denominator= 5091 numerators:, 169700, 339400 denominator= 5094 numerators:, 169800, 339600, 679200, 849000 denominator= 5097 numerators:, 169900, 339800, 679600, 849500, 1189300, 1359200, 1699000 denominator= 5131 numerators:, 73300, 183250, 293200, 403150, 623050, 733000 denominator= 5152 numerators:, 225400, 805000 denominator= 5154 numerators:, 1095225 denominator= 5244 numerators:, 1114350, 2294250, 3474150, 4654050 denominator= 5285 numerators:, 18875, 188750, 358625, 698375, 868250, 1038125, 1208000 denominator= 5287 numerators:, 38875, 108850, 178825, 248800, 318775, 388750, 458725, 598675, 668650, 738625, 808600, 878575, 948550, 1018525, 1088500, 1158475, 1228450, 1298425, 1368400, 1438375, 1508350, 1578325, 1648300, 1788250, 1858225, 1928200, 1998175, 2068150, 2138125, 2208100, 2278075, 2348050, 2418025, 2488000 denominator= 5330 numerators:, 13325, 93275, 173225, 253175, 333125, 413075, 493025 denominator= 5332 numerators:, 13330, 33325, 73315, 93310, 113305, 153295, 173290, 193285, 233275, 253270, 273265, 313255, 333250, 353245, 393235, 413230, 433225, 473215, 493210, 513205, 553195, 573190, 593185, 633175, 653170, 673165, 713155, 733150, 753145, 793135, 813130, 833125, 873115, 893110, 913105, 953095, 973090, 993085, 1033075, 1053070, 1073065, 1113055, 1133050, 1153045, 1193035, 1213030, 1233025, 1273015, 1293010, 1313005 denominator= 5343 numerators:, 164400, 904200, 1274100, 1644000 denominator= 5362 numerators:, 76600, 306400, 766000 denominator= 5391 numerators:, 29950, 59900, 89850, 119800, 149750, 179700, 209650, 239600, 299500, 329450, 359400, 389350, 419300, 449250, 479200, 509150, 569050, 599000 denominator= 5394 numerators:, 89900, 179800, 359600, 449500, 629300, 719200, 899000 denominator= 5397 numerators:, 89950, 179900, 359800, 449750, 629650, 719600, 899500, 989450, 1169350, 1259300, 1439200, 1529150, 1709050, 1799000 denominator= 5422 numerators:, 1152175, 2372125, 3592075, 4812025 denominator= 5474 numerators:, 257600, 837200, 1127000 denominator= 5486 numerators:, 168800, 358700, 738500, 928400, 1118300, 1308200, 1498100, 1688000 denominator= 5550 numerators:, 15540, 25530, 35520, 45510, 65490, 75480, 85470, 95460, 115440, 125430, 135420, 145410, 165390, 175380, 185370, 195360, 215340, 225330, 235320, 245310, 265290, 275280, 285270, 295260, 315240, 325230, 335220, 345210, 365190, 375180, 385170, 395160, 415140, 425130, 435120, 445110, 465090, 475080, 485070, 495060, 515040, 525030, 535020, 545010 denominator= 5590 numerators:, 69875, 209625, 349375, 489125 denominator= 5592 numerators:, 69900, 209700, 349500, 489300, 629100 denominator= 5593 numerators:, 19975, 39950, 59925, 79900, 99875, 119850, 159800, 179775, 199750, 219725, 239700, 259675, 299625, 319600, 339575, 359550, 379525, 399500, 439450, 459425, 479400, 499375, 519350, 539325, 579275, 599250, 619225, 639200, 659175, 679150, 719100, 739075, 759050, 779025, 799000 denominator= 5594 numerators:, 69925, 209775, 349625, 489475, 629325, 769175, 909025 denominator= 5596 numerators:, 69950, 209850, 349750, 489650, 629550, 769450, 909350, 1049250, 1189150, 1329050 denominator= 5598 numerators:, 69975, 209925, 349875, 489825, 629775, 769725, 909675, 1049625, 1189575, 1329525, 1469475, 1609425, 1749375, 1889325, 2029275, 2169225, 2309175, 2449125, 2589075, 2729025 denominator= 5621 numerators:, 102200, 332150, 792050, 1022000 denominator= 5661 numerators:, 6660, 16650, 26640, 36630, 46620, 66600, 76590, 86580, 96570, 106560, 116550, 126540, 136530, 146520, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 236430, 246420, 256410, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 346320, 356310, 366300, 376290, 386280, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 476190, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 576090, 586080, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 5677 numerators:, 1297600, 2027500, 2757400, 3487300, 4217200, 4947100 denominator= 5680 numerators:, 8875, 88750, 168625, 248500, 328375, 408250, 488125 denominator= 5684 numerators:, 248675, 888125 denominator= 5686 numerators:, 1208275 denominator= 5688 numerators:, 88875, 248850, 408825, 728775, 888750, 1048725, 1208700, 1368675, 1528650, 1688625, 2008575, 2168550, 2328525, 2488500, 2648475, 2808450, 2968425, 3288375, 3448350, 3608325, 3768300, 3928275, 4088250, 4248225, 4568175, 4728150, 4888125, 5048100, 5208075, 5368050, 5528025 denominator= 5691 numerators:, 189700, 379400 denominator= 5694 numerators:, 189800, 379600, 759200, 949000 denominator= 5697 numerators:, 189900, 379800, 759600, 949500, 1329300, 1519200, 1899000 denominator= 5742 numerators:, 104400, 1044000 denominator= 5754 numerators:, 205500, 945300, 1315200, 1685100, 2055000 denominator= 5770 numerators:, 187525, 447175 denominator= 5772 numerators:, 7770, 17760, 27750, 37740, 47730, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 5774 numerators:, 187655, 447485, 707315, 967145 denominator= 5776 numerators:, 187720, 447640, 707560, 967480, 1227400, 1487320, 1747240, 2007160, 2267080, 2527000 denominator= 5831 numerators:, 3332, 13328, 33320, 43316, 53312, 63308, 73304, 83300, 103292, 113288, 123284, 133280, 143276, 153272, 173264, 183260, 193256, 203252, 213248, 223244, 243236, 253232, 263228, 273224, 283220, 293216, 313208, 323204, 333200, 343196, 353192, 363188, 383180, 393176, 403172, 413168, 423164, 433160, 453152, 463148, 473144, 483140, 493136, 503132, 523124, 533120, 543116, 553112, 563108, 573104, 593096, 603092, 613088, 623084, 633080, 643076, 663068, 673064, 683060, 693056, 703052, 713048, 733040, 743036, 753032, 763028, 773024, 783020, 803012, 813008, 823004, 833000 denominator= 5860 numerators:, 36625, 256375, 366250, 476125 denominator= 5862 numerators:, 366375, 806025 denominator= 5863 numerators:, 26650, 66625, 106600, 186550, 226525, 266500, 306475, 346450, 386425, 426400, 466375, 506350, 546325, 626275, 666250, 706225, 746200, 786175, 826150, 866125, 906100, 946075, 986050, 1066000 denominator= 5864 numerators:, 36650, 256550, 366500, 476450, 696350, 806300, 916250, 1136150, 1246100, 1356050 denominator= 5866 numerators:, 366625, 806575, 1246525, 1686475, 2126425, 2566375, 3006325, 3446275, 3886225, 4326175, 4766125, 5206075, 5646025 denominator= 5883 numerators:, 8880, 18870, 28860, 38850, 48840, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 5954 numerators:, 1265225 denominator= 5984 numerators:, 108800, 1088000 denominator= 5985 numerators:, 1368000 denominator= 5991 numerators:, 9985, 19970, 39940, 49925, 69895, 79880, 99850, 109835, 129805, 139790, 159760, 169745, 189715, 199700, 219670, 229655, 249625, 259610, 279580, 289565, 309535, 319520, 339490, 349475, 369445, 379430, 399400, 409385, 429355, 439340, 459310, 469295, 489265, 499250, 519220, 529205, 549175, 559160, 579130, 589115, 609085, 619070, 639040, 649025 denominator= 5994 numerators:, 9990, 19980, 39960, 49950, 69930, 79920, 99900, 109890, 129870, 139860, 159840, 169830, 189810, 199800, 219780, 229770, 249750, 259740, 279720, 289710, 309690, 319680, 339660, 349650, 369630, 379620, 399600, 409590, 429570, 439560, 459540, 469530, 489510, 499500, 519480, 529470, 549450, 559440, 579420, 589410, 609390, 619380, 639360, 649350, 669330, 679320, 699300, 709290, 729270, 739260, 759240, 769230, 789210, 799200, 819180, 829170, 849150, 859140, 879120, 889110, 909090, 919080, 939060, 949050, 969030, 979020, 999000 denominator= 5997 numerators:, 9995, 19990, 39980, 49975, 69965, 79960, 99950, 109945, 129935, 139930, 159920, 169915, 189905, 199900, 219890, 229885, 249875, 259870, 279860, 289855, 309845, 319840, 339830, 349825, 369815, 379810, 399800, 409795, 429785, 439780, 459770, 469765, 489755, 499750, 519740, 529735, 549725, 559720, 579710, 589705, 609695, 619690, 639680, 649675, 669665, 679660, 699650, 709645, 729635, 739630, 759620, 769615, 789605, 799600, 819590, 829585, 849575, 859570, 879560, 889555, 909545, 919540, 939530, 949525, 969515, 979510, 999500, 1009495, 1029485, 1039480, 1059470, 1069465, 1089455, 1099450, 1119440, 1129435, 1149425, 1159420, 1179410, 1189405, 1209395, 1219390, 1239380, 1249375, 1269365, 1279360, 1299350, 1309345, 1329335, 1339330, 1359320, 1369315, 1389305, 1399300, 1419290, 1429285, 1449275, 1459270, 1479260, 1489255, 1509245, 1519240, 1539230, 1549225, 1569215, 1579210, 1599200, 1609195, 1629185, 1639180, 1659170, 1669165, 1689155, 1699150, 1719140, 1729135, 1749125, 1759120, 1779110, 1789105, 1809095, 1819090, 1839080, 1849075, 1869065, 1879060, 1899050, 1909045, 1929035, 1939030, 1959020, 1969015, 1989005, 1999000 denominator= 6040 numerators:, 94375, 264250, 434125 denominator= 6044 numerators:, 264425, 944375, 1284350, 1624325, 2304275, 2644250, 2984225, 3664175, 4004150, 4344125, 5024075, 5364050, 5704025 denominator= 6062 numerators:, 86600, 216500, 346400, 476300, 736100, 866000 denominator= 6130 numerators:, 383125 denominator= 6132 numerators:, 383250, 843150, 1303050 denominator= 6220 numerators:, 132175, 202150, 272125, 412075, 482050, 552025 denominator= 6222 numerators:, 202215, 482205, 762195, 1042185, 1322175, 1602165, 1882155, 2162145, 2442135, 2722125, 3002115, 3282105, 3562095, 3842085, 4122075, 4402065, 4682055, 4962045, 5242035, 5522025, 5802015, 6082005 denominator= 6291 numerators:, 69900, 139800, 209700, 279600, 349500, 419400, 489300, 559200, 699000 denominator= 6293 numerators:, 89900, 179800, 269700, 359600, 449500, 539400, 719200, 809100, 899000 denominator= 6294 numerators:, 209800, 419600, 839200, 1049000 denominator= 6297 numerators:, 209900, 419800, 839600, 1049500, 1469300, 1679200, 2099000 denominator= 6370 numerators:, 227500 denominator= 6377 numerators:, 227750, 1047650, 1457600, 1867550, 2277500, 2687450, 3097400, 3917300, 4327250, 4737200, 5147150, 5557100, 5967050 denominator= 6390 numerators:, 79875, 239625, 399375, 559125 denominator= 6392 numerators:, 19975, 39950, 59925, 79900, 99875, 119850, 139825, 179775, 199750, 219725, 239700, 259675, 279650, 299625, 339575, 359550, 379525, 399500, 419475, 439450, 459425, 499375, 519350, 539325, 559300, 579275, 599250, 619225, 659175, 679150, 699125, 719100, 739075, 759050, 779025 denominator= 6394 numerators:, 79925, 239775, 399625, 559475, 719325, 879175, 1039025 denominator= 6396 numerators:, 39975, 79950, 119925, 199875, 239850, 279825, 359775, 399750, 439725, 519675, 559650, 599625, 679575, 719550, 759525, 839475, 879450, 919425, 999375, 1039350, 1079325, 1159275, 1199250, 1239225, 1319175, 1359150, 1399125, 1479075, 1519050, 1559025 denominator= 6398 numerators:, 79975, 239925, 399875, 559825, 719775, 879725, 1039675, 1199625, 1359575, 1519525, 1679475, 1839425, 1999375, 2159325, 2319275, 2479225, 2639175, 2799125, 2959075, 3119025 denominator= 6454 numerators:, 1475200, 2305000 denominator= 6486 numerators:, 1378275 denominator= 6488 numerators:, 1378700, 2838500, 4298300, 5758100 denominator= 6531 numerators:, 23325, 93300, 233250, 303225, 373200, 443175, 513150, 583125, 723075, 793050, 863025, 933000 denominator= 6541 numerators:, 84400, 274300, 464200, 844000 denominator= 6572 numerators:, 287525 denominator= 6576 numerators:, 287700, 1027500, 1397400, 1767300, 2507100, 2877000 denominator= 6591 numerators:, 109850, 219700, 439400, 549250 denominator= 6594 numerators:, 109900, 219800, 439600, 549500, 769300, 879200, 1099000 denominator= 6597 numerators:, 109950, 219900, 439800, 549750, 769650, 879600, 1099500, 1209450, 1429350, 1539300, 1759200, 1869150, 2089050, 2199000 denominator= 6643 numerators:, 204400, 434350, 894250, 1124200, 1354150, 1584100, 1814050, 2044000 denominator= 6660 numerators:, 16650, 36630, 56610, 76590, 96570, 116550, 136530, 156510, 176490, 196470, 216450, 236430, 256410, 276390, 296370, 316350, 336330, 356310, 376290, 396270, 416250, 436230, 456210, 476190, 496170, 516150, 536130, 556110, 576090, 596070, 616050, 636030, 656010 denominator= 6662 numerators:, 16655, 36641, 56627, 76613, 96599, 116585, 136571, 156557, 176543, 196529, 216515, 236501, 256487, 276473, 296459, 316445, 336431, 356417, 376403, 396389, 416375, 436361, 456347, 476333, 496319, 516305, 536291, 556277, 576263, 596249, 616235, 636221, 656207, 676193, 696179, 716165, 736151, 756137, 776123, 796109, 816095, 836081, 856067, 876053, 896039, 916025, 936011 denominator= 6664 numerators:, 16660, 36652, 56644, 76636, 96628, 116620, 136612, 156604, 176596, 196588, 216580, 236572, 256564, 276556, 296548, 316540, 336532, 356524, 376516, 396508, 416500, 436492, 456484, 476476, 496468, 516460, 536452, 556444, 576436, 596428, 616420, 636412, 656404, 676396, 696388, 716380, 736372, 756364, 776356, 796348, 816340, 836332, 856324, 876316, 896308, 916300, 936292, 956284, 976276, 996268, 1016260, 1036252, 1056244, 1076236, 1096228, 1116220, 1136212, 1156204, 1176196, 1196188, 1216180, 1236172, 1256164, 1276156, 1296148, 1316140, 1336132, 1356124, 1376116, 1396108, 1416100, 1436092, 1456084, 1476076, 1496068, 1516060, 1536052, 1556044, 1576036, 1596028, 1616020, 1636012, 1656004 denominator= 6685 numerators:, 238750, 1098250, 1528000 denominator= 6721 numerators:, 12220, 122200, 232180, 342160, 452140, 562120, 782080, 892060, 1002040, 1112020, 1222000 denominator= 6752 numerators:, 105500, 295400, 485300, 865100, 1055000 denominator= 6754 numerators:, 1435225 denominator= 6762 numerators:, 96600, 386400, 966000 denominator= 6771 numerators:, 7770, 17760, 27750, 37740, 47730, 57720, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 6786 numerators:, 208800, 1148400, 1618200, 2088000 denominator= 6842 numerators:, 54425, 124400, 194375, 264350, 334325, 404300, 474275, 544250, 614225, 754175, 824150, 894125, 964100, 1034075, 1104050, 1174025, 1244000 denominator= 6844 numerators:, 1454350, 2994250, 4534150, 6074050 denominator= 6882 numerators:, 8880, 18870, 28860, 38850, 48840, 58830, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 6891 numerators:, 229700, 459400 denominator= 6894 numerators:, 229800, 459600, 919200, 1149000 denominator= 6897 numerators:, 229900, 459800, 919600, 1149500, 1609300, 1839200, 2299000 denominator= 6930 numerators:, 433125 denominator= 6932 numerators:, 43325, 303275, 433250, 563225, 823175, 953150, 1083125, 1343075, 1473050, 1603025 denominator= 6940 numerators:, 44416, 94384, 144352, 244288, 294256, 344224, 394192, 494128, 544096, 594064, 644032 denominator= 6963 numerators:, 126600, 316500, 506400, 886200, 1076100, 1266000 denominator= 6987 numerators:, 328800, 1068600, 1438500, 1808400, 2178300, 2548200, 2918100, 3288000 denominator= 6993 numerators:, 9990, 19980, 29970, 39960, 49950, 59940, 79920, 89910, 99900, 109890, 119880, 129870, 149850, 159840, 169830, 179820, 189810, 199800, 219780, 229770, 239760, 249750, 259740, 269730, 289710, 299700, 309690, 319680, 329670, 339660, 359640, 369630, 379620, 389610, 399600, 409590, 429570, 439560, 449550, 459540, 469530, 479520, 499500, 509490, 519480, 529470, 539460, 549450, 569430, 579420, 589410, 599400, 609390, 619380, 639360, 649350, 659340, 669330, 679320, 689310, 709290, 719280, 729270, 739260, 749250, 759240, 779220, 789210, 799200, 809190, 819180, 829170, 849150, 859140, 869130, 879120, 889110, 899100, 919080, 929070, 939060, 949050, 959040, 969030, 989010, 999000 denominator= 7022 numerators:, 1492175, 3072125, 4652075, 6232025 denominator= 7072 numerators:, 217600 denominator= 7077 numerators:, 1617600, 2527500, 3437400, 4347300, 5257200, 6167100 denominator= 7084 numerators:, 128800, 418600, 998200, 1288000 denominator= 7110 numerators:, 231075, 551025 denominator= 7153 numerators:, 15550, 85525, 155500, 225475, 295450, 365425, 435400, 505375, 575350, 645325, 785275, 855250, 925225, 995200, 1065175, 1135150, 1205125, 1275100, 1345075, 1415050, 1485025, 1555000 denominator= 7154 numerators:, 25550, 255500, 485450, 945350, 1175300, 1405250, 1635200, 1865150, 2095100, 2555000 denominator= 7174 numerators:, 147700, 337600, 527500, 907300, 1097200, 1287100, 1477000 denominator= 7190 numerators:, 89875, 269625, 449375, 629125 denominator= 7191 numerators:, 19975, 39950, 59925, 79900, 99875, 119850, 139825, 159800, 199750, 219725, 239700, 259675, 279650, 299625, 319600, 339575, 379525, 399500, 419475, 439450, 459425, 479400, 499375, 519350, 559300, 579275, 599250, 619225, 639200, 659175, 679150, 699125, 739075, 759050, 779025, 799000 denominator= 7192 numerators:, 89900, 269700, 449500, 629300, 809100 denominator= 7194 numerators:, 29975, 59950, 89925, 119900, 149875, 209825, 239800, 269775, 299750, 329725, 389675, 419650, 449625, 479600, 509575, 569525, 599500, 629475, 659450, 689425, 749375, 779350, 809325, 839300, 869275, 929225, 959200, 989175, 1019150, 1049125, 1109075, 1139050, 1169025, 1199000 denominator= 7196 numerators:, 89950, 269850, 449750, 629650, 809550, 989450, 1169350, 1349250, 1529150, 1709050 denominator= 7197 numerators:, 59975, 119950, 239900, 299875, 419825, 479800, 599750, 659725, 779675, 839650, 959600, 1019575, 1139525, 1199500, 1319450, 1379425, 1499375, 1559350, 1679300, 1739275, 1859225, 1919200, 2039150, 2099125, 2219075, 2279050, 2399000 denominator= 7198 numerators:, 89975, 269925, 449875, 629825, 809775, 989725, 1169675, 1349625, 1529575, 1709525, 1889475, 2069425, 2249375, 2429325, 2609275, 2789225, 2969175, 3149125, 3329075, 3509025 denominator= 7231 numerators:, 103300, 413200, 1033000 denominator= 7280 numerators:, 318500 denominator= 7284 numerators:, 318675, 1138125 denominator= 7286 numerators:, 1548275 denominator= 7288 numerators:, 318850, 1138750, 1548700, 1958650, 2778550, 3188500, 3598450, 4418350, 4828300, 5238250, 6058150, 6468100, 6878050 denominator= 7361 numerators:, 86600, 216500, 346400, 476300, 606200, 866000 denominator= 7376 numerators:, 1567400, 3227000 denominator= 7385 numerators:, 168800, 358700, 548600, 928400, 1118300, 1308200, 1498100, 1688000 denominator= 7460 numerators:, 46625, 326375, 466250, 606125 denominator= 7462 numerators:, 26650, 66625, 106600, 146575, 226525, 266500, 306475, 346450, 386425, 426400, 466375, 506350, 546325, 586300, 626275, 666250, 706225, 786175, 826150, 866125, 906100, 946075, 986050, 1026025, 1066000 denominator= 7464 numerators:, 46650, 116625, 256575, 326550, 396525, 466500, 536475, 606450, 676425, 816375, 886350, 956325, 1026300, 1096275, 1166250, 1236225, 1376175, 1446150, 1516125, 1586100, 1656075, 1726050, 1796025 denominator= 7466 numerators:, 466625, 1026575, 1586525, 2146475, 2706425, 3266375, 3826325, 4386275, 4946225, 5506175, 6066125, 6626075, 7186025 denominator= 7491 numerators:, 9988, 19976, 39952, 49940, 69916, 79904, 99880, 109868, 129844, 139832, 159808, 169796, 189772, 199760, 219736, 229724, 249700, 259688, 279664, 289652, 309628, 319616, 339592, 349580, 369556, 379544, 399520, 409508, 429484, 439472, 459448, 469436, 489412, 499400, 519376, 529364, 549340, 559328, 579304, 589292, 609268, 619256, 639232, 649220, 669196, 679184, 699160, 709148, 729124, 739112, 759088, 769076, 789052, 799040, 819016, 829004 denominator= 7494 numerators:, 9992, 19984, 39968, 49960, 69944, 79936, 99920, 109912, 129896, 139888, 159872, 169864, 189848, 199840, 219824, 229816, 249800, 259792, 279776, 289768, 309752, 319744, 339728, 349720, 369704, 379696, 399680, 409672, 429656, 439648, 459632, 469624, 489608, 499600, 519584, 529576, 549560, 559552, 579536, 589528, 609512, 619504, 639488, 649480, 669464, 679456, 699440, 709432, 729416, 739408, 759392, 769384, 789368, 799360, 819344, 829336, 849320, 859312, 879296, 889288, 909272, 919264, 939248, 949240, 969224, 979216, 999200, 1009192, 1029176, 1039168, 1059152, 1069144, 1089128, 1099120, 1119104, 1129096, 1149080, 1159072, 1179056, 1189048, 1209032, 1219024, 1239008, 1249000 denominator= 7497 numerators:, 9996, 19992, 39984, 49980, 69972, 79968, 99960, 109956, 129948, 139944, 159936, 169932, 189924, 199920, 219912, 229908, 249900, 259896, 279888, 289884, 309876, 319872, 339864, 349860, 369852, 379848, 399840, 409836, 429828, 439824, 459816, 469812, 489804, 499800, 519792, 529788, 549780, 559776, 579768, 589764, 609756, 619752, 639744, 649740, 669732, 679728, 699720, 709716, 729708, 739704, 759696, 769692, 789684, 799680, 819672, 829668, 849660, 859656, 879648, 889644, 909636, 919632, 939624, 949620, 969612, 979608, 999600, 1009596, 1029588, 1039584, 1059576, 1069572, 1089564, 1099560, 1119552, 1129548, 1149540, 1159536, 1179528, 1189524, 1209516, 1219512, 1239504, 1249500, 1269492, 1279488, 1299480, 1309476, 1329468, 1339464, 1359456, 1369452, 1389444, 1399440, 1419432, 1429428, 1449420, 1459416, 1479408, 1489404, 1509396, 1519392, 1539384, 1549380, 1569372, 1579368, 1599360, 1609356, 1629348, 1639344, 1659336, 1669332, 1689324, 1699320, 1719312, 1729308, 1749300, 1759296, 1779288, 1789284, 1809276, 1819272, 1839264, 1849260, 1869252, 1879248, 1899240, 1909236, 1929228, 1939224, 1959216, 1969212, 1989204, 1999200, 2019192, 2029188, 2049180, 2059176, 2079168, 2089164, 2109156, 2119152, 2139144, 2149140, 2169132, 2179128, 2199120, 2209116, 2229108, 2239104, 2259096, 2269092, 2289084, 2299080, 2319072, 2329068, 2349060, 2359056, 2379048, 2389044, 2409036, 2419032, 2439024, 2449020, 2469012, 2479008, 2499000 denominator= 7550 numerators:, 245375, 585125 denominator= 7552 numerators:, 245440, 585280, 925120 denominator= 7554 numerators:, 245505, 585435, 925365, 1265295, 1605225, 1945155, 2285085, 2625015 denominator= 7640 numerators:, 334250 denominator= 7644 numerators:, 334425, 1194375, 1624350, 2054325, 2914275, 3344250, 3774225, 4634175, 5064150, 5494125, 6354075, 6784050, 7214025 denominator= 7693 numerators:, 109900, 219800, 329700, 439600, 549500, 659400, 879200, 989100, 1099000 denominator= 7730 numerators:, 483125 denominator= 7732 numerators:, 483250, 1063150, 1643050 denominator= 7770 numerators:, 17760, 27750, 37740, 47730, 57720, 67710, 87690, 97680, 107670, 117660, 127650, 137640, 157620, 167610, 177600, 187590, 197580, 207570, 227550, 237540, 247530, 257520, 267510, 277500, 297480, 307470, 317460, 327450, 337440, 347430, 367410, 377400, 387390, 397380, 407370, 417360, 437340, 447330, 457320, 467310, 477300, 487290, 507270, 517260, 527250, 537240, 547230, 557220, 577200, 587190, 597180, 607170, 617160, 627150, 647130, 657120, 667110, 677100, 687090, 697080, 717060, 727050, 737040, 747030, 757020, 767010 denominator= 7791 numerators:, 129850, 259700, 519400, 649250 denominator= 7794 numerators:, 129900, 259800, 519600, 649500, 909300, 1039200, 1299000 denominator= 7797 numerators:, 129950, 259900, 519800, 649750, 909650, 1039600, 1299500, 1429450, 1689350, 1819300, 2079200, 2209150, 2469050, 2599000 denominator= 7820 numerators:, 342125 denominator= 7821 numerators:, 142200, 302175, 462150, 622125, 942075, 1102050, 1262025, 1422000 denominator= 7822 numerators:, 1662175, 3422125, 5182075, 6942025 denominator= 7854 numerators:, 1795200, 2805000 denominator= 7881 numerators:, 8880, 18870, 28860, 38850, 48840, 58830, 68820, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 7931 numerators:, 113300, 283250, 453200, 623150, 963050, 1133000 denominator= 7942 numerators:, 14440, 144400, 274360, 404320, 534280, 664240, 924160, 1054120, 1184080, 1314040, 1444000 denominator= 7943 numerators:, 24440, 134420, 244400, 354380, 464360, 574340, 684320, 904280, 1014260, 1124240, 1234220, 1344200, 1454180, 1564160, 1674140, 1784120, 1894100, 2004080, 2114060, 2334020, 2444000 denominator= 7990 numerators:, 19975, 59925, 99875, 139825, 179775, 219725, 259675, 299625, 339575, 379525, 419475, 459425, 499375, 539325, 579275, 619225, 659175, 699125, 739075, 779025 denominator= 7992 numerators:, 9990, 19980, 29970, 49950, 59940, 69930, 89910, 99900, 109890, 129870, 139860, 149850, 169830, 179820, 189810, 209790, 219780, 229770, 249750, 259740, 269730, 289710, 299700, 309690, 329670, 339660, 349650, 369630, 379620, 389610, 409590, 419580, 429570, 449550, 459540, 469530, 489510, 499500, 509490, 529470, 539460, 549450, 569430, 579420, 589410, 609390, 619380, 629370, 649350, 659340, 669330, 689310, 699300, 709290, 729270, 739260, 749250, 769230, 779220, 789210, 809190, 819180, 829170, 849150, 859140, 869130, 889110, 899100, 909090, 929070, 939060, 949050, 969030, 979020, 989010 denominator= 7994 numerators:, 19985, 59955, 99925, 139895, 179865, 219835, 259805, 299775, 339745, 379715, 419685, 459655, 499625, 539595, 579565, 619535, 659505, 699475, 739445, 779415, 819385, 859355, 899325, 939295, 979265, 1019235, 1059205, 1099175, 1139145, 1179115, 1219085, 1259055, 1299025 denominator= 7996 numerators:, 9995, 19990, 29985, 49975, 59970, 69965, 89955, 99950, 109945, 129935, 139930, 149925, 169915, 179910, 189905, 209895, 219890, 229885, 249875, 259870, 269865, 289855, 299850, 309845, 329835, 339830, 349825, 369815, 379810, 389805, 409795, 419790, 429785, 449775, 459770, 469765, 489755, 499750, 509745, 529735, 539730, 549725, 569715, 579710, 589705, 609695, 619690, 629685, 649675, 659670, 669665, 689655, 699650, 709645, 729635, 739630, 749625, 769615, 779610, 789605, 809595, 819590, 829585, 849575, 859570, 869565, 889555, 899550, 909545, 929535, 939530, 949525, 969515, 979510, 989505, 1009495, 1019490, 1029485, 1049475, 1059470, 1069465, 1089455, 1099450, 1109445, 1129435, 1139430, 1149425, 1169415, 1179410, 1189405, 1209395, 1219390, 1229385, 1249375, 1259370, 1269365, 1289355, 1299350, 1309345, 1329335, 1339330, 1349325, 1369315, 1379310, 1389305, 1409295, 1419290, 1429285, 1449275, 1459270, 1469265, 1489255, 1499250, 1509245, 1529235, 1539230, 1549225, 1569215, 1579210, 1589205, 1609195, 1619190, 1629185, 1649175, 1659170, 1669165, 1689155, 1699150, 1709145, 1729135, 1739130, 1749125, 1769115, 1779110, 1789105, 1809095, 1819090, 1829085, 1849075, 1859070, 1869065, 1889055, 1899050, 1909045, 1929035, 1939030, 1949025, 1969015, 1979010, 1989005 denominator= 7998 numerators:, 19995, 59985, 99975, 139965, 179955, 219945, 259935, 299925, 339915, 379905, 419895, 459885, 499875, 539865, 579855, 619845, 659835, 699825, 739815, 779805, 819795, 859785, 899775, 939765, 979755, 1019745, 1059735, 1099725, 1139715, 1179705, 1219695, 1259685, 1299675, 1339665, 1379655, 1419645, 1459635, 1499625, 1539615, 1579605, 1619595, 1659585, 1699575, 1739565, 1779555, 1819545, 1859535, 1899525, 1939515, 1979505, 2019495, 2059485, 2099475, 2139465, 2179455, 2219445, 2259435, 2299425, 2339415, 2379405, 2419395, 2459385, 2499375, 2539365, 2579355, 2619345, 2659335, 2699325, 2739315, 2779305, 2819295, 2859285, 2899275, 2939265, 2979255, 3019245, 3059235, 3099225, 3139215, 3179205, 3219195, 3259185, 3299175, 3339165, 3379155, 3419145, 3459135, 3499125, 3539115, 3579105, 3619095, 3659085, 3699075, 3739065, 3779055, 3819045, 3859035, 3899025, 3939015, 3979005 denominator= 8063 numerators:, 36650, 146600, 256550, 366500, 476450, 586400, 696350, 916250, 1026200, 1136150, 1246100, 1356050, 1466000 denominator= 8085 numerators:, 28875, 288750, 548625, 1068375, 1328250, 1588125, 1848000 denominator= 8086 numerators:, 38875, 108850, 178825, 248800, 318775, 388750, 458725, 528700, 598675, 668650, 738625, 878575, 948550, 1018525, 1088500, 1158475, 1228450, 1298425, 1368400, 1438375, 1508350, 1578325, 1648300, 1718275, 1788250, 1858225, 1928200, 1998175, 2068150, 2138125, 2208100, 2278075, 2348050, 2418025, 2488000 denominator= 8088 numerators:, 1718700, 3538500, 5358300, 7178100 denominator= 8091 numerators:, 89900, 179800, 269700, 359600, 449500, 539400, 629300, 719200, 899000 denominator= 8094 numerators:, 269800, 539600, 1079200, 1349000 denominator= 8097 numerators:, 269900, 539800, 1079600, 1349500, 1889300, 2159200, 2699000 denominator= 8162 numerators:, 46640, 116600, 186560, 256520, 396440, 466400, 536360, 606320, 676280, 746240, 886160, 956120, 1026080, 1096040, 1166000 denominator= 8172 numerators:, 357525 denominator= 8176 numerators:, 127750, 357700, 587650, 1047550, 1277500, 1507450, 1737400, 1967350, 2197300, 2427250, 2887150, 3117100, 3347050, 3577000 denominator= 8184 numerators:, 148800, 1488000 denominator= 8260 numerators:, 516250 denominator= 8262 numerators:, 516375, 1136025 denominator= 8264 numerators:, 516500, 1136300, 1756100 denominator= 8266 numerators:, 516625, 1136575, 1756525, 2376475, 2996425, 3616375, 4236325, 4856275, 5476225, 6096175, 6716125, 7336075, 7956025 denominator= 8330 numerators:, 3332, 13328, 23324, 43316, 53312, 63308, 73304, 93296, 103292, 113288, 123284, 143276, 153272, 163268, 173264, 193256, 203252, 213248, 223244, 243236, 253232, 263228, 273224, 293216, 303212, 313208, 323204, 343196, 353192, 363188, 373184, 393176, 403172, 413168, 423164, 443156, 453152, 463148, 473144, 493136, 503132, 513128, 523124, 543116, 553112, 563108, 573104, 593096, 603092, 613088, 623084, 643076, 653072, 663068, 673064, 693056, 703052, 713048, 723044, 743036, 753032, 763028, 773024, 793016, 803012, 813008, 823004 denominator= 8352 numerators:, 365400, 1305000 denominator= 8354 numerators:, 1775225 denominator= 8372 numerators:, 257600, 547400, 1127000 denominator= 8391 numerators:, 69925, 139850, 279700, 349625, 489475, 559400, 699250, 769175, 909025 denominator= 8393 numerators:, 29975, 59950, 89925, 119900, 149875, 179850, 239800, 269775, 299750, 329725, 359700, 389675, 449625, 479600, 509575, 539550, 569525, 599500, 659450, 689425, 719400, 749375, 779350, 809325, 869275, 899250, 929225, 959200, 989175, 1019150, 1079100, 1109075, 1139050, 1169025, 1199000 denominator= 8394 numerators:, 69950, 139900, 279800, 349750, 489650, 559600, 699500, 769450, 909350, 979300, 1119200, 1189150, 1329050, 1399000 denominator= 8397 numerators:, 69975, 139950, 279900, 349875, 489825, 559800, 699750, 769725, 909675, 979650, 1119600, 1189575, 1329525, 1399500, 1539450, 1609425, 1749375, 1819350, 1959300, 2029275, 2169225, 2239200, 2379150, 2449125, 2589075, 2659050, 2799000 denominator= 8440 numerators:, 274300, 654100 denominator= 8442 numerators:, 274365, 654255, 1034145, 1414035 denominator= 8444 numerators:, 274430, 654410, 1034390, 1414370, 1794350, 2174330, 2554310, 2934290, 3314270, 3694250, 4074230, 4454210, 4834190, 5214170, 5594150, 5974130, 6354110, 6734090, 7114070, 7494050, 7874030, 8254010 denominator= 8477 numerators:, 1937600, 3027500, 4117400, 5207300, 6297200, 7387100 denominator= 8530 numerators:, 533125 denominator= 8532 numerators:, 53325, 373275, 533250, 693225, 1013175, 1173150, 1333125, 1653075, 1813050, 1973025 denominator= 8554 numerators:, 195520, 305500, 415480, 525460, 635440, 745420, 965380, 1075360, 1185340, 1295320, 1405300, 1515280, 1735240, 1845220, 1955200, 2065180, 2175160, 2285140, 2505100, 2615080, 2725060, 2835040, 2945020, 3055000 denominator= 8622 numerators:, 1832175, 3772125, 5712075, 7652025 denominator= 8631 numerators:, 123300, 493200, 1233000 denominator= 8651 numerators:, 105500, 295400, 485300, 675200, 1055000 denominator= 8687 numerators:, 178850, 408800, 638750, 1098650, 1328600, 1558550, 1788500, 2018450, 2248400, 2478350, 2708300, 2938250, 3168200, 3398150, 3628100, 3858050, 4088000 denominator= 8691 numerators:, 289700, 579400 denominator= 8694 numerators:, 289800, 579600, 1159200, 1449000 denominator= 8697 numerators:, 289900, 579800, 1159600, 1449500, 2029300, 2319200, 2899000 denominator= 8785 numerators:, 2008000 denominator= 8790 numerators:, 109875, 329625, 549375, 769125 denominator= 8792 numerators:, 109900, 329700, 549500, 769300, 989100 denominator= 8794 numerators:, 109925, 329775, 549625, 769475, 989325, 1209175, 1429025 denominator= 8796 numerators:, 109950, 329850, 549750, 769650, 989550, 1209450, 1429350, 1649250, 1869150, 2089050 denominator= 8798 numerators:, 109975, 329925, 549875, 769825, 989775, 1209725, 1429675, 1649625, 1869575, 2089525, 2309475, 2529425, 2749375, 2969325, 3189275, 3409225, 3629175, 3849125, 4069075, 4289025 denominator= 8862 numerators:, 126600, 316500, 506400, 696300, 1076100, 1266000 denominator= 8874 numerators:, 417600, 1357200, 1827000 denominator= 8880 numerators:, 18870, 28860, 38850, 48840, 58830, 68820, 78810, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 878010 denominator= 8882 numerators:, 48851, 128789, 208727, 288665, 368603, 448541, 528479, 608417, 688355, 768293, 848231, 928169, 1008107, 1088045 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807, 188785, 208774, 228763, 268741, 288730, 308719, 348697, 368686, 388675, 428653, 448642, 468631, 508609, 528598, 548587, 588565, 608554, 628543, 668521, 688510, 708499, 748477, 768466, 788455, 828433, 848422, 868411, 908389, 928378, 948367, 988345, 1008334, 1028323, 1068301, 1088290, 1108279, 1148257, 1168246, 1188235, 1228213, 1248202, 1268191, 1308169, 1328158, 1348147, 1388125, 1408114, 1428103, 1468081, 1488070, 1508059, 1548037, 1568026, 1588015 denominator= 8886 numerators:, 48873, 128847, 208821, 288795, 368769, 448743, 528717, 608691, 688665, 768639, 848613, 928587, 1008561, 1088535, 1168509, 1248483, 1328457, 1408431, 1488405, 1568379, 1648353, 1728327, 1808301, 1888275, 1968249, 2048223, 2128197, 2208171, 2288145, 2368119, 2448093, 2528067, 2608041, 2688015 denominator= 8921 numerators:, 162200, 1622000 denominator= 8976 numerators:, 1907400, 3927000 denominator= 8991 numerators:, 9990, 19980, 29970, 39960, 49950, 59940, 69930, 79920, 99900, 109890, 119880, 129870, 139860, 149850, 159840, 169830, 189810, 199800, 209790, 219780, 229770, 239760, 249750, 259740, 279720, 289710, 299700, 309690, 319680, 329670, 339660, 349650, 369630, 379620, 389610, 399600, 409590, 419580, 429570, 439560, 459540, 469530, 479520, 489510, 499500, 509490, 519480, 529470, 549450, 559440, 569430, 579420, 589410, 599400, 609390, 619380, 639360, 649350, 659340, 669330, 679320, 689310, 699300, 709290, 729270, 739260, 749250, 759240, 769230, 779220, 789210, 799200, 819180, 829170, 839160, 849150, 859140, 869130, 879120, 889110, 909090, 919080, 929070, 939060, 949050, 959040, 969030, 979020, 999000 denominator= 8994 numerators:, 29980, 59960, 119920, 149900, 209860, 239840, 299800, 329780, 389740, 419720, 479680, 509660, 569620, 599600, 659560, 689540, 749500, 779480, 839440, 869420, 929380, 959360, 1019320, 1049300, 1109260, 1139240, 1199200, 1229180, 1289140, 1319120, 1379080, 1409060, 1469020, 1499000 denominator= 8997 numerators:, 29990, 59980, 119960, 149950, 209930, 239920, 299900, 329890, 389870, 419860, 479840, 509830, 569810, 599800, 659780, 689770, 749750, 779740, 839720, 869710, 929690, 959680, 1019660, 1049650, 1109630, 1139620, 1199600, 1229590, 1289570, 1319560, 1379540, 1409530, 1469510, 1499500, 1559480, 1589470, 1649450, 1679440, 1739420, 1769410, 1829390, 1859380, 1919360, 1949350, 2009330, 2039320, 2099300, 2129290, 2189270, 2219260, 2279240, 2309230, 2369210, 2399200, 2459180, 2489170, 2549150, 2579140, 2639120, 2669110, 2729090, 2759080, 2819060, 2849050, 2909030, 2939020, 2999000 denominator= 9042 numerators:, 164400, 534300, 1274100, 1644000 denominator= 9060 numerators:, 56625, 396375, 566250, 736125 denominator= 9061 numerators:, 26650, 66625, 106600, 146575, 186550, 266500, 306475, 346450, 386425, 426400, 466375, 506350, 546325, 586300, 626275, 666250, 706225, 746200, 786175, 826150, 866125, 946075, 986050, 1026025, 1066000 denominator= 9062 numerators:, 566375, 1246025 denominator= 9064 numerators:, 56650, 396550, 566500, 736450, 1076350, 1246300, 1416250, 1756150, 1926100, 2096050 denominator= 9066 numerators:, 566625, 1246575, 1926525, 2606475, 3286425, 3966375, 4646325, 5326275, 6006225, 6686175, 7366125, 8046075, 8726025 denominator= 9073 numerators:, 147700, 337600, 527500, 717400, 1097200, 1287100, 1477000 denominator= 9093 numerators:, 129900, 259800, 389700, 519600, 649500, 779400, 1039200, 1169100, 1299000 denominator= 9154 numerators:, 1945225 denominator= 9163 numerators:, 6664, 16660, 26656, 46648, 56644, 66640, 76636, 86632, 96628, 106624, 116620, 126616, 136612, 156604, 166600, 176596, 186592, 196588, 206584, 216580, 226576, 236572, 246568, 266560, 276556, 286552, 296548, 306544, 316540, 326536, 336532, 346528, 356524, 376516, 386512, 396508, 406504, 416500, 426496, 436492, 446488, 456484, 466480, 486472, 496468, 506464, 516460, 526456, 536452, 546448, 556444, 566440, 576436, 596428, 606424, 616420, 626416, 636412, 646408, 656404, 666400, 676396, 686392, 706384, 716380, 726376, 736372, 746368, 756364, 766360, 776356, 786352, 796348, 816340, 826336, 836332, 846328, 856324, 866320, 876316, 886312, 896308, 906304, 926296, 936292, 946288, 956284, 966280, 976276, 986272, 996268, 1006264, 1016260, 1036252, 1046248, 1056244, 1066240, 1076236, 1086232, 1096228, 1106224, 1116220, 1126216, 1146208, 1156204, 1166200, 1176196, 1186192, 1196188, 1206184, 1216180, 1226176, 1236172, 1256164, 1266160, 1276156, 1286152, 1296148, 1306144, 1316140, 1326136, 1336132, 1346128, 1366120, 1376116, 1386112, 1396108, 1406104, 1416100, 1426096, 1436092, 1446088, 1456084, 1476076, 1486072, 1496068, 1506064, 1516060, 1526056, 1536052, 1546048, 1556044, 1566040, 1586032, 1596028, 1606024, 1616020, 1626016, 1636012, 1646008, 1656004, 1666000 denominator= 9170 numerators:, 327500 denominator= 9177 numerators:, 327750, 1507650, 2097600, 2687550, 3277500, 3867450, 4457400, 5637300, 6227250, 6817200, 7407150, 7997100, 8587050 denominator= 9240 numerators:, 144375, 404250, 664125 denominator= 9243 numerators:, 124425, 284400, 444375, 604350, 764325, 1084275, 1244250, 1404225, 1564200, 1724175, 1884150, 2044125, 2204100, 2364075, 2524050, 2684025, 2844000 denominator= 9244 numerators:, 404425, 1444375, 1964350, 2484325, 3524275, 4044250, 4564225, 5604175, 6124150, 6644125, 7684075, 8204050, 8724025 denominator= 9254 numerators:, 2115200, 3305000 denominator= 9284 numerators:, 168800, 358700, 548600, 738500, 1118300, 1308200, 1498100, 1688000 denominator= 9291 numerators:, 309700, 619400 denominator= 9294 numerators:, 309800, 619600, 1239200, 1549000 denominator= 9297 numerators:, 309900, 619800, 1239600, 1549500, 2169300, 2479200, 3099000 denominator= 9330 numerators:, 23325, 163275, 303225, 443175, 583125, 723075, 863025 denominator= 9331 numerators:, 13330, 33325, 53320, 73315, 113305, 133300, 153295, 173290, 193285, 213280, 253270, 273265, 293260, 313255, 333250, 353245, 393235, 413230, 433225, 453220, 473215, 493210, 533200, 553195, 573190, 593185, 613180, 633175, 673165, 693160, 713155, 733150, 753145, 773140, 813130, 833125, 853120, 873115, 893110, 913105, 953095, 973090, 993085, 1013080, 1033075, 1053070, 1093060, 1113055, 1133050, 1153045, 1173040, 1193035, 1233025, 1253020, 1273015, 1293010, 1313005, 1333000 denominator= 9332 numerators:, 23330, 163310, 303290, 443270, 583250, 723230, 863210, 1003190, 1143170, 1283150, 1423130, 1563110, 1703090, 1843070, 1983050, 2123030, 2263010 denominator= 9386 numerators:, 28880, 158840, 288800, 418760, 548720, 678680, 808640, 1068560, 1198520, 1328480, 1458440, 1588400, 1718360, 1848320, 1978280, 2108240, 2238200, 2368160, 2498120, 2758040, 2888000 denominator= 9420 numerators:, 412125 denominator= 9422 numerators:, 2002175, 4122125, 6242075, 8362025 denominator= 9453 numerators:, 205500, 575400, 1315200, 1685100, 2055000 denominator= 9485 numerators:, 338750, 1558250, 2168000 denominator= 9562 numerators:, 136600, 546400, 1366000 denominator= 9590 numerators:, 119875, 359625, 599375, 839125 denominator= 9591 numerators:, 79925, 159850, 319700, 399625, 559475, 639400, 799250, 879175, 1039025 denominator= 9592 numerators:, 29975, 59950, 89925, 119900, 149875, 179850, 209825, 269775, 299750, 329725, 359700, 389675, 419650, 449625, 509575, 539550, 569525, 599500, 629475, 659450, 689425, 749375, 779350, 809325, 839300, 869275, 899250, 929225, 989175, 1019150, 1049125, 1079100, 1109075, 1139050, 1169025 denominator= 9594 numerators:, 39975, 79950, 119925, 159900, 199875, 279825, 319800, 359775, 399750, 439725, 519675, 559650, 599625, 639600, 679575, 759525, 799500, 839475, 879450, 919425, 999375, 1039350, 1079325, 1119300, 1159275, 1239225, 1279200, 1319175, 1359150, 1399125, 1479075, 1519050, 1559025, 1599000 denominator= 9596 numerators:, 59975, 119950, 179925, 299875, 359850, 419825, 539775, 599750, 659725, 779675, 839650, 899625, 1019575, 1079550, 1139525, 1259475, 1319450, 1379425, 1499375, 1559350, 1619325, 1739275, 1799250, 1859225, 1979175, 2039150, 2099125, 2219075, 2279050, 2339025 denominator= 9597 numerators:, 79975, 159950, 319900, 399875, 559825, 639800, 799750, 879725, 1039675, 1119650, 1279600, 1359575, 1519525, 1599500, 1759450, 1839425, 1999375, 2079350, 2239300, 2319275, 2479225, 2559200, 2719150, 2799125, 2959075, 3039050, 3199000 denominator= 9598 numerators:, 119975, 359925, 599875, 839825, 1079775, 1319725, 1559675, 1799625, 2039575, 2279525, 2519475, 2759425, 2999375, 3239325, 3479275, 3719225, 3959175, 4199125, 4439075, 4679025 denominator= 9641 numerators:, 54425, 124400, 194375, 264350, 334325, 404300, 474275, 544250, 614225, 684200, 754175, 824150, 894125, 1034075, 1104050, 1174025, 1244000 denominator= 9672 numerators:, 297600 denominator= 9686 numerators:, 2058275 denominator= 9688 numerators:, 2058700, 4238500, 6418300, 8598100 denominator= 9720 numerators:, 62208, 132192, 202176, 342144, 412128, 482112, 552096, 692064, 762048, 832032, 902016 denominator= 9770 numerators:, 317525, 757175 denominator= 9772 numerators:, 207655, 317590, 427525, 647395, 757330, 867265, 1087135, 1197070, 1307005 denominator= 9774 numerators:, 317655, 757485, 1197315, 1637145 denominator= 9776 numerators:, 207740, 317720, 427700, 647660, 757640, 867620, 1087580, 1197560, 1307540, 1527500, 1637480, 1747460, 1967420, 2077400, 2187380, 2407340, 2517320, 2627300, 2847260, 2957240, 3067220, 3287180, 3397160, 3507140, 3727100, 3837080, 3947060, 4167020, 4277000 denominator= 9793 numerators:, 69950, 139900, 209850, 279800, 349750, 419700, 559600, 629550, 699500, 769450, 839400, 909350, 1049250, 1119200, 1189150, 1259100, 1329050, 1399000 denominator= 9860 numerators:, 616250 denominator= 9862 numerators:, 616375, 1356025 denominator= 9864 numerators:, 616500, 1356300, 2096100 denominator= 9866 numerators:, 616625, 1356575, 2096525, 2836475, 3576425, 4316375, 5056325, 5796275, 6536225, 7276175, 8016125, 8756075, 9496025 denominator= 9877 numerators:, 2257600, 3527500, 4797400, 6067300, 7337200, 8607100 denominator= 9891 numerators:, 109900, 219800, 329700, 439600, 549500, 659400, 769300, 879200, 1099000 denominator= 9894 numerators:, 329800, 659600, 1319200, 1649000 denominator= 9897 numerators:, 329900, 659800, 1319600, 1649500, 2309300, 2639200, 3299000 denominator= 9952 numerators:, 15550, 85525, 155500, 225475, 295450, 365425, 435400, 505375, 575350, 645325, 715300, 785275, 855250, 925225, 1065175, 1135150, 1205125, 1275100, 1345075, 1415050, 1485025, 1555000 denominator= 9954 numerators:, 35550, 195525, 355500, 515475, 675450, 835425, 1155375, 1315350, 1475325, 1635300, 1795275, 1955250, 2115225, 2275200, 2435175, 2595150, 2755125, 2915100, 3075075, 3395025, 3555000 denominator= 9982 numerators:, 128800, 418600, 708400, 1288000 ------------------------------------------------------------------------- Section 9 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 1100 numerators:, 11 denominator= 1110 numerators:, 111 denominator= 1200 numerators:, 12 denominator= 1210 numerators:, 22 denominator= 1220 numerators:, 122 denominator= 1221 numerators:, 222 denominator= 1300 numerators:, 13 denominator= 1320 numerators:, 33 denominator= 1325 numerators:, 53 denominator= 1328 numerators:, 83 denominator= 1330 numerators:, 133 denominator= 1332 numerators:, 333 denominator= 1400 numerators:, 14 denominator= 1430 numerators:, 44 denominator= 1440 numerators:, 144 denominator= 1443 numerators:, 444 denominator= 1500 numerators:, 15 denominator= 1540 numerators:, 55 denominator= 1550 numerators:, 155 denominator= 1554 numerators:, 555 denominator= 1600 numerators:, 16 denominator= 1625 numerators:, 26 denominator= 1650 numerators:, 66 denominator= 1660 numerators:, 166 denominator= 1664 numerators:, 416 denominator= 1665 numerators:, 666 denominator= 1700 numerators:, 17 denominator= 1728 numerators:, 27 denominator= 1760 numerators:, 77 denominator= 1770 numerators:, 177 denominator= 1775 numerators:, 497 denominator= 1776 numerators:, 777 denominator= 1800 numerators:, 18 denominator= 1870 numerators:, 88 denominator= 1880 numerators:, 188 denominator= 1887 numerators:, 888 denominator= 1900 numerators:, 19 denominator= 1950 numerators:, 39 denominator= 1960 numerators:, 49 denominator= 1975 numerators:, 79 denominator= 1980 numerators:, 99 denominator= 1990 numerators:, 199 denominator= 1992 numerators:, 249 denominator= 1995 numerators:, 399 denominator= 1996 numerators:, 499 denominator= 1998 numerators:, 999 denominator= 2100 numerators:, 21 denominator= 2109 numerators:, 111 denominator= 2110 numerators:, 211 denominator= 2200 numerators:, 22 denominator= 2220 numerators:, 222 denominator= 2300 numerators:, 23 denominator= 2310 numerators:, 33 denominator= 2324 numerators:, 83 denominator= 2325 numerators:, 93 denominator= 2330 numerators:, 233 denominator= 2331 numerators:, 333 denominator= 2332 numerators:, 583 denominator= 2400 numerators:, 24 denominator= 2420 numerators:, 44 denominator= 2440 numerators:, 244 denominator= 2442 numerators:, 444 denominator= 2500 numerators:, 25 denominator= 2530 numerators:, 55 denominator= 2550 numerators:, 255 denominator= 2553 numerators:, 555 denominator= 2600 numerators:, 26 denominator= 2640 numerators:, 66 denominator= 2650 numerators:, 106 denominator= 2656 numerators:, 166 denominator= 2660 numerators:, 266 denominator= 2664 numerators:, 666 denominator= 2665 numerators:, 1066 denominator= 2700 numerators:, 27 denominator= 2750 numerators:, 77 denominator= 2770 numerators:, 277 denominator= 2775 numerators:, 777 denominator= 2800 numerators:, 28 denominator= 2860 numerators:, 88 denominator= 2880 numerators:, 288 denominator= 2886 numerators:, 888 denominator= 2900 numerators:, 29 denominator= 2925 numerators:, 39 denominator= 2940 numerators:, 49 denominator= 2950 numerators:, 59 denominator= 2970 numerators:, 99 denominator= 2975 numerators:, 119 denominator= 2980 numerators:, 149 denominator= 2985 numerators:, 199 denominator= 2988 numerators:, 249 denominator= 2990 numerators:, 299 denominator= 2994 numerators:, 499 denominator= 2995 numerators:, 599 denominator= 2996 numerators:, 749 denominator= 2997 numerators:, 999 denominator= 2998 numerators:, 1499 denominator= 3100 numerators:, 31 denominator= 3108 numerators:, 111 denominator= 3110 numerators:, 311 denominator= 3200 numerators:, 32 denominator= 3219 numerators:, 222 denominator= 3220 numerators:, 322 denominator= 3300 numerators:, 33 denominator= 3320 numerators:, 83 denominator= 3325 numerators:, 133 denominator= 3330 numerators:, 333 denominator= 3332 numerators:, 833 denominator= 3400 numerators:, 34 denominator= 3410 numerators:, 44 denominator= 3440 numerators:, 344 denominator= 3441 numerators:, 444 denominator= 3500 numerators:, 35 denominator= 3520 numerators:, 55 denominator= 3550 numerators:, 355 denominator= 3552 numerators:, 555 denominator= 3600 numerators:, 36 denominator= 3630 numerators:, 66 denominator= 3650 numerators:, 146 denominator= 3652 numerators:, 166 denominator= 3660 numerators:, 366 denominator= 3663 numerators:, 666 denominator= 3664 numerators:, 916 denominator= 3665 numerators:, 1466 denominator= 3700 numerators:, 37 denominator= 3740 numerators:, 77 denominator= 3770 numerators:, 377 denominator= 3774 numerators:, 777 denominator= 3775 numerators:, 1057 denominator= 3800 numerators:, 38 denominator= 3850 numerators:, 88 denominator= 3864 numerators:, 138 denominator= 3875 numerators:, 248 denominator= 3880 numerators:, 388 denominator= 3885 numerators:, 888 denominator= 3900 numerators:, 39 denominator= 3920 numerators:, 49 denominator= 3950 numerators:, 79 denominator= 3960 numerators:, 99 denominator= 3975 numerators:, 159 denominator= 3980 numerators:, 199 denominator= 3984 numerators:, 249 denominator= 3990 numerators:, 399 denominator= 3992 numerators:, 499 denominator= 3995 numerators:, 799 denominator= 3996 numerators:, 999 denominator= 3998 numerators:, 1999 denominator= 4100 numerators:, 41 denominator= 4107 numerators:, 111 denominator= 4110 numerators:, 411 denominator= 4200 numerators:, 42 denominator= 4218 numerators:, 222 denominator= 4220 numerators:, 422 denominator= 4300 numerators:, 43 denominator= 4316 numerators:, 83 denominator= 4325 numerators:, 173 denominator= 4329 numerators:, 333 denominator= 4330 numerators:, 433 denominator= 4332 numerators:, 1083 denominator= 4400 numerators:, 44 denominator= 4440 numerators:, 444 denominator= 4500 numerators:, 45 denominator= 4510 numerators:, 55 denominator= 4550 numerators:, 455 denominator= 4551 numerators:, 555 denominator= 4600 numerators:, 46 denominator= 4620 numerators:, 66 denominator= 4640 numerators:, 116 denominator= 4648 numerators:, 166 denominator= 4650 numerators:, 186 denominator= 4655 numerators:, 266 denominator= 4660 numerators:, 466 denominator= 4662 numerators:, 666 denominator= 4664 numerators:, 1166 denominator= 4665 numerators:, 1866 denominator= 4700 numerators:, 47 denominator= 4730 numerators:, 77 denominator= 4770 numerators:, 477 denominator= 4773 numerators:, 777 denominator= 4775 numerators:, 1337 denominator= 4800 numerators:, 48 denominator= 4840 numerators:, 88 denominator= 4880 numerators:, 488 denominator= 4884 numerators:, 888 denominator= 4900 numerators:, 49 denominator= 4950 numerators:, 99 denominator= 4975 numerators:, 199 denominator= 4980 numerators:, 249 denominator= 4990 numerators:, 499 denominator= 4995 numerators:, 999 denominator= 4996 numerators:, 1249 denominator= 4998 numerators:, 2499 denominator= 5100 numerators:, 51 denominator= 5106 numerators:, 111 denominator= 5110 numerators:, 511 denominator= 5200 numerators:, 52 denominator= 5217 numerators:, 222 denominator= 5220 numerators:, 522 denominator= 5300 numerators:, 53 denominator= 5312 numerators:, 83 denominator= 5320 numerators:, 133 denominator= 5325 numerators:, 213 denominator= 5328 numerators:, 333 denominator= 5330 numerators:, 533 denominator= 5332 numerators:, 1333 denominator= 5400 numerators:, 54 denominator= 5425 numerators:, 124 denominator= 5432 numerators:, 194 denominator= 5439 numerators:, 444 denominator= 5440 numerators:, 544 denominator= 5500 numerators:, 55 denominator= 5550 numerators:, 555 denominator= 5600 numerators:, 56 denominator= 5610 numerators:, 66 denominator= 5644 numerators:, 166 denominator= 5650 numerators:, 226 denominator= 5660 numerators:, 566 denominator= 5661 numerators:, 666 denominator= 5664 numerators:, 1416 denominator= 5665 numerators:, 2266 denominator= 5700 numerators:, 57 denominator= 5720 numerators:, 77 denominator= 5770 numerators:, 577 denominator= 5772 numerators:, 777 denominator= 5775 numerators:, 1617 denominator= 5776 numerators:, 2527 denominator= 5800 numerators:, 58 denominator= 5830 numerators:, 88 denominator= 5880 numerators:, 588 denominator= 5883 numerators:, 888 denominator= 5900 numerators:, 59 denominator= 5925 numerators:, 79 denominator= 5940 numerators:, 99 denominator= 5950 numerators:, 119 denominator= 5960 numerators:, 149 denominator= 5970 numerators:, 199 denominator= 5975 numerators:, 239 denominator= 5976 numerators:, 249 denominator= 5980 numerators:, 299 denominator= 5985 numerators:, 399 denominator= 5988 numerators:, 499 denominator= 5990 numerators:, 599 denominator= 5992 numerators:, 749 denominator= 5994 numerators:, 999 denominator= 5995 numerators:, 1199 denominator= 5996 numerators:, 1499 denominator= 5997 numerators:, 1999 denominator= 5998 numerators:, 2999 denominator= 6100 numerators:, 61 denominator= 6105 numerators:, 111 denominator= 6110 numerators:, 611 denominator= 6200 numerators:, 62 denominator= 6216 numerators:, 222 denominator= 6220 numerators:, 622 denominator= 6300 numerators:, 63 denominator= 6308 numerators:, 83 denominator= 6325 numerators:, 253 denominator= 6327 numerators:, 333 denominator= 6330 numerators:, 633 denominator= 6332 numerators:, 1583 denominator= 6400 numerators:, 64 denominator= 6438 numerators:, 444 denominator= 6440 numerators:, 644 denominator= 6500 numerators:, 65 denominator= 6549 numerators:, 555 denominator= 6550 numerators:, 655 denominator= 6600 numerators:, 66 denominator= 6625 numerators:, 106 denominator= 6640 numerators:, 166 denominator= 6650 numerators:, 266 denominator= 6656 numerators:, 416 denominator= 6660 numerators:, 666 denominator= 6664 numerators:, 1666 denominator= 6665 numerators:, 2666 denominator= 6700 numerators:, 67 denominator= 6710 numerators:, 77 denominator= 6770 numerators:, 677 denominator= 6771 numerators:, 777 denominator= 6775 numerators:, 1897 denominator= 6800 numerators:, 68 denominator= 6820 numerators:, 88 denominator= 6880 numerators:, 688 denominator= 6882 numerators:, 888 denominator= 6900 numerators:, 69 denominator= 6930 numerators:, 99 denominator= 6950 numerators:, 139 denominator= 6965 numerators:, 199 denominator= 6972 numerators:, 249 denominator= 6975 numerators:, 279 denominator= 6980 numerators:, 349 denominator= 6986 numerators:, 499 denominator= 6990 numerators:, 699 denominator= 6993 numerators:, 999 denominator= 6995 numerators:, 1399 denominator= 6996 numerators:, 1749 denominator= 6998 numerators:, 3499 denominator= 7100 numerators:, 71 denominator= 7104 numerators:, 111 denominator= 7110 numerators:, 711 denominator= 7200 numerators:, 72 denominator= 7215 numerators:, 222 denominator= 7220 numerators:, 722 denominator= 7300 numerators:, 73 denominator= 7304 numerators:, 83 denominator= 7315 numerators:, 133 denominator= 7320 numerators:, 183 denominator= 7325 numerators:, 293 denominator= 7326 numerators:, 333 denominator= 7330 numerators:, 733 denominator= 7332 numerators:, 1833 denominator= 7400 numerators:, 74 denominator= 7437 numerators:, 444 denominator= 7440 numerators:, 744 denominator= 7500 numerators:, 75 denominator= 7548 numerators:, 555 denominator= 7550 numerators:, 755 denominator= 7600 numerators:, 76 denominator= 7636 numerators:, 166 denominator= 7650 numerators:, 306 denominator= 7659 numerators:, 666 denominator= 7660 numerators:, 766 denominator= 7664 numerators:, 1916 denominator= 7665 numerators:, 3066 denominator= 7700 numerators:, 77 denominator= 7750 numerators:, 217 denominator= 7756 numerators:, 277 denominator= 7770 numerators:, 777 denominator= 7775 numerators:, 2177 denominator= 7800 numerators:, 78 denominator= 7810 numerators:, 88 denominator= 7880 numerators:, 788 denominator= 7881 numerators:, 888 denominator= 7900 numerators:, 79 denominator= 7920 numerators:, 99 denominator= 7950 numerators:, 159 denominator= 7960 numerators:, 199 denominator= 7968 numerators:, 249 denominator= 7975 numerators:, 319 denominator= 7980 numerators:, 399 denominator= 7984 numerators:, 499 denominator= 7990 numerators:, 799 denominator= 7992 numerators:, 999 denominator= 7995 numerators:, 1599 denominator= 7996 numerators:, 1999 denominator= 7998 numerators:, 3999 denominator= 8100 numerators:, 81 denominator= 8103 numerators:, 111 denominator= 8110 numerators:, 811 denominator= 8200 numerators:, 82 denominator= 8214 numerators:, 222 denominator= 8220 numerators:, 822 denominator= 8300 numerators:, 83 denominator= 8325 numerators:, 333 denominator= 8330 numerators:, 833 denominator= 8332 numerators:, 2083 denominator= 8400 numerators:, 84 denominator= 8436 numerators:, 444 denominator= 8440 numerators:, 844 denominator= 8500 numerators:, 85 denominator= 8525 numerators:, 155 denominator= 8540 numerators:, 305 denominator= 8547 numerators:, 555 denominator= 8550 numerators:, 855 denominator= 8554 numerators:, 3055 denominator= 8600 numerators:, 86 denominator= 8632 numerators:, 166 denominator= 8640 numerators:, 216 denominator= 8645 numerators:, 266 denominator= 8650 numerators:, 346 denominator= 8658 numerators:, 666 denominator= 8660 numerators:, 866 denominator= 8664 numerators:, 2166 denominator= 8665 numerators:, 3466 denominator= 8700 numerators:, 87 denominator= 8769 numerators:, 777 denominator= 8770 numerators:, 877 denominator= 8775 numerators:, 2457 denominator= 8800 numerators:, 88 denominator= 8832 numerators:, 138 denominator= 8875 numerators:, 568 denominator= 8880 numerators:, 888 denominator= 8900 numerators:, 89 denominator= 8910 numerators:, 99 denominator= 8925 numerators:, 119 denominator= 8940 numerators:, 149 denominator= 8950 numerators:, 179 denominator= 8955 numerators:, 199 denominator= 8964 numerators:, 249 denominator= 8970 numerators:, 299 denominator= 8975 numerators:, 359 denominator= 8980 numerators:, 449 denominator= 8982 numerators:, 499 denominator= 8985 numerators:, 599 denominator= 8988 numerators:, 749 denominator= 8990 numerators:, 899 denominator= 8991 numerators:, 999 denominator= 8994 numerators:, 1499 denominator= 8995 numerators:, 1799 denominator= 8996 numerators:, 2249 denominator= 8997 numerators:, 2999 denominator= 8998 numerators:, 4499 denominator= 9100 numerators:, 91 denominator= 9102 numerators:, 111 denominator= 9110 numerators:, 911 denominator= 9200 numerators:, 92 denominator= 9213 numerators:, 222 denominator= 9220 numerators:, 922 denominator= 9300 numerators:, 93 denominator= 9310 numerators:, 133 denominator= 9320 numerators:, 233 denominator= 9324 numerators:, 333 denominator= 9325 numerators:, 373 denominator= 9328 numerators:, 583 denominator= 9330 numerators:, 933 denominator= 9331 numerators:, 1333 denominator= 9332 numerators:, 2333 denominator= 9400 numerators:, 94 denominator= 9435 numerators:, 444 denominator= 9440 numerators:, 944 denominator= 9500 numerators:, 95 denominator= 9546 numerators:, 555 denominator= 9550 numerators:, 955 denominator= 9600 numerators:, 96 denominator= 9628 numerators:, 166 denominator= 9650 numerators:, 386 denominator= 9657 numerators:, 666 denominator= 9660 numerators:, 966 denominator= 9664 numerators:, 2416 denominator= 9665 numerators:, 3866 denominator= 9700 numerators:, 97 denominator= 9735 numerators:, 177 denominator= 9760 numerators:, 427 denominator= 9768 numerators:, 777 denominator= 9770 numerators:, 977 denominator= 9775 numerators:, 2737 denominator= 9776 numerators:, 4277 denominator= 9800 numerators:, 98 denominator= 9879 numerators:, 888 denominator= 9880 numerators:, 988 denominator= 9900 numerators:, 99 denominator= 9950 numerators:, 199 denominator= 9960 numerators:, 249 denominator= 9975 numerators:, 399 denominator= 9980 numerators:, 499 denominator= 9990 numerators:, 999 denominator= 9992 numerators:, 1249 denominator= 9995 numerators:, 1999 denominator= 9996 numerators:, 2499 denominator= 9998 numerators:, 4999 ------------------------------------------------------------------------- Section 10 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 1110 numerators:, 111 denominator= 1200 numerators:, 120 denominator= 1220 numerators:, 122 denominator= 1221 numerators:, 222, 2220 denominator= 1222 numerators:, 6721 denominator= 1300 numerators:, 130 denominator= 1310 numerators:, 131 denominator= 1324 numerators:, 331 denominator= 1325 numerators:, 530 denominator= 1328 numerators:, 332, 830 denominator= 1330 numerators:, 133, 532, 931 denominator= 1332 numerators:, 333, 2331, 3330 denominator= 1400 numerators:, 140 denominator= 1410 numerators:, 141 denominator= 1420 numerators:, 142 denominator= 1440 numerators:, 144 denominator= 1443 numerators:, 444, 2442, 3441, 4440 denominator= 1444 numerators:, 7942 denominator= 1490 numerators:, 149 denominator= 1500 numerators:, 150 denominator= 1510 numerators:, 151 denominator= 1512 numerators:, 54 denominator= 1520 numerators:, 152 denominator= 1530 numerators:, 153 denominator= 1550 numerators:, 155 denominator= 1554 numerators:, 555, 2553, 3552, 4551, 5550 denominator= 1555 numerators:, 4354, 7153, 9952, 12751 denominator= 1600 numerators:, 64, 160 denominator= 1610 numerators:, 161 denominator= 1620 numerators:, 162 denominator= 1625 numerators:, 65, 260 denominator= 1630 numerators:, 163 denominator= 1640 numerators:, 164 denominator= 1655 numerators:, 662 denominator= 1660 numerators:, 166, 664, 1162 denominator= 1664 numerators:, 4160 denominator= 1665 numerators:, 666, 2664, 3663, 4662, 5661 denominator= 1666 numerators:, 4165, 9163, 14161 denominator= 1700 numerators:, 170 denominator= 1710 numerators:, 171 denominator= 1720 numerators:, 172 denominator= 1728 numerators:, 270 denominator= 1730 numerators:, 173 denominator= 1740 numerators:, 174 denominator= 1750 numerators:, 175 denominator= 1770 numerators:, 177 denominator= 1775 numerators:, 4970 denominator= 1776 numerators:, 777, 2775, 3774, 4773, 5772, 6771, 7770 denominator= 1800 numerators:, 180 denominator= 1810 numerators:, 181 denominator= 1820 numerators:, 182 denominator= 1830 numerators:, 183 denominator= 1840 numerators:, 184 denominator= 1850 numerators:, 185 denominator= 1860 numerators:, 186 denominator= 1880 numerators:, 188 denominator= 1887 numerators:, 888, 2886, 3885, 4884, 5883, 6882, 7881, 8880 denominator= 1888 numerators:, 10384 denominator= 1900 numerators:, 95, 190 denominator= 1910 numerators:, 191 denominator= 1920 numerators:, 96, 192 denominator= 1930 numerators:, 193 denominator= 1940 numerators:, 97, 194, 291 denominator= 1950 numerators:, 195, 390 denominator= 1955 numerators:, 391 denominator= 1960 numerators:, 98, 196, 294, 392, 490 denominator= 1964 numerators:, 491 denominator= 1965 numerators:, 393 denominator= 1968 numerators:, 492 denominator= 1970 numerators:, 197, 394, 591 denominator= 1972 numerators:, 493 denominator= 1975 numerators:, 395, 790 denominator= 1976 numerators:, 494 denominator= 1982 numerators:, 991 denominator= 1984 numerators:, 496, 992 denominator= 1985 numerators:, 397, 794, 1191 denominator= 1986 numerators:, 993 denominator= 1988 numerators:, 497, 994, 1491 denominator= 1990 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791 denominator= 1992 numerators:, 498, 996, 1494, 2490 denominator= 1994 numerators:, 997, 2991 denominator= 1995 numerators:, 399, 798, 1197, 1596, 2394, 2793, 3192, 3591 denominator= 1996 numerators:, 499, 998, 1497, 2495, 2994, 3493, 4491, 4990 denominator= 1998 numerators:, 999, 2997, 4995, 6993, 8991 denominator= 2100 numerators:, 210 denominator= 2109 numerators:, 111, 1110 denominator= 2110 numerators:, 211 denominator= 2190 numerators:, 219 denominator= 2210 numerators:, 221 denominator= 2220 numerators:, 222, 1221 denominator= 2222 numerators:, 12221 denominator= 2300 numerators:, 230 denominator= 2317 numerators:, 331 denominator= 2320 numerators:, 232 denominator= 2324 numerators:, 332, 830 denominator= 2325 numerators:, 930 denominator= 2330 numerators:, 233, 932, 1631 denominator= 2331 numerators:, 333, 1332, 3330 denominator= 2332 numerators:, 5830 denominator= 2390 numerators:, 239 denominator= 2400 numerators:, 240 denominator= 2410 numerators:, 241 denominator= 2430 numerators:, 243 denominator= 2431 numerators:, 442 denominator= 2440 numerators:, 244, 1342 denominator= 2442 numerators:, 444, 1443, 3441, 4440 denominator= 2444 numerators:, 7943, 13442, 18941 denominator= 2500 numerators:, 250 denominator= 2510 numerators:, 251 denominator= 2520 numerators:, 252 denominator= 2540 numerators:, 254 denominator= 2550 numerators:, 255 denominator= 2553 numerators:, 555, 1554, 3552, 4551, 5550 denominator= 2555 numerators:, 7154, 11753, 16352, 20951 denominator= 2600 numerators:, 65, 260 denominator= 2608 numerators:, 163 denominator= 2610 numerators:, 261 denominator= 2620 numerators:, 262 denominator= 2624 numerators:, 164 denominator= 2630 numerators:, 263 denominator= 2644 numerators:, 661 denominator= 2648 numerators:, 662 denominator= 2650 numerators:, 265, 1060 denominator= 2652 numerators:, 663 denominator= 2655 numerators:, 1062 denominator= 2656 numerators:, 166, 664, 1162, 1660 denominator= 2660 numerators:, 266, 665, 1064, 1463, 1862, 2261 denominator= 2664 numerators:, 666, 1665, 3663, 4662, 5661, 6660 denominator= 2665 numerators:, 1066, 4264, 5863, 7462, 9061 denominator= 2666 numerators:, 6665, 14663, 22661 denominator= 2700 numerators:, 270 denominator= 2710 numerators:, 271 denominator= 2720 numerators:, 272 denominator= 2730 numerators:, 273 denominator= 2740 numerators:, 274 denominator= 2760 numerators:, 276 denominator= 2770 numerators:, 277 denominator= 2775 numerators:, 777, 1776, 3774, 4773, 5772, 6771, 7770 denominator= 2790 numerators:, 279 denominator= 2800 numerators:, 280 denominator= 2810 numerators:, 281 denominator= 2820 numerators:, 282 denominator= 2830 numerators:, 283 denominator= 2840 numerators:, 284 denominator= 2850 numerators:, 285 denominator= 2870 numerators:, 287 denominator= 2873 numerators:, 884 denominator= 2880 numerators:, 288, 1584 denominator= 2886 numerators:, 888, 1887, 3885, 4884, 5883, 6882, 7881, 8880 denominator= 2888 numerators:, 9386, 15884, 22382 denominator= 2900 numerators:, 290 denominator= 2910 numerators:, 97, 194, 291 denominator= 2920 numerators:, 292 denominator= 2925 numerators:, 195, 390 denominator= 2930 numerators:, 293 denominator= 2940 numerators:, 98, 196, 294, 392, 490 denominator= 2946 numerators:, 491 denominator= 2950 numerators:, 295, 590 denominator= 2952 numerators:, 492 denominator= 2955 numerators:, 197, 394, 591 denominator= 2958 numerators:, 493 denominator= 2960 numerators:, 296, 592 denominator= 2964 numerators:, 494 denominator= 2965 numerators:, 593 denominator= 2973 numerators:, 991 denominator= 2975 numerators:, 595, 1190 denominator= 2976 numerators:, 496, 992 denominator= 2979 numerators:, 993 denominator= 2980 numerators:, 298, 596, 894, 1192, 1490 denominator= 2982 numerators:, 497, 994, 1491 denominator= 2984 numerators:, 1492 denominator= 2985 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 2986 numerators:, 1493 denominator= 2988 numerators:, 498, 996, 1494, 1992, 2490 denominator= 2990 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2691 denominator= 2991 numerators:, 997, 1994 denominator= 2992 numerators:, 1496 denominator= 2994 numerators:, 499, 998, 1497, 1996, 2495, 3493, 3992, 4491, 4990 denominator= 2995 numerators:, 599, 1198, 1797, 2396, 3594, 4193, 4792, 5391 denominator= 2996 numerators:, 1498, 4494, 7490 denominator= 2997 numerators:, 999, 1998, 3996, 4995, 6993, 7992, 9990 denominator= 2998 numerators:, 1499, 4497, 7495, 10493, 13491 denominator= 3100 numerators:, 310 denominator= 3108 numerators:, 111, 1110 denominator= 3110 numerators:, 311 denominator= 3190 numerators:, 319 denominator= 3200 numerators:, 320 denominator= 3210 numerators:, 321 denominator= 3219 numerators:, 222, 1221, 2220 denominator= 3220 numerators:, 322 denominator= 3222 numerators:, 17721 denominator= 3310 numerators:, 331 denominator= 3320 numerators:, 332, 830 denominator= 3324 numerators:, 831 denominator= 3325 numerators:, 133, 532, 931, 1330 denominator= 3328 numerators:, 832 denominator= 3330 numerators:, 333, 1332, 2331 denominator= 3332 numerators:, 833, 5831, 8330 denominator= 3400 numerators:, 340 denominator= 3420 numerators:, 342 denominator= 3430 numerators:, 343 denominator= 3440 numerators:, 344 denominator= 3441 numerators:, 444, 1443, 2442, 4440 denominator= 3444 numerators:, 18942 denominator= 3490 numerators:, 349 denominator= 3500 numerators:, 350 denominator= 3510 numerators:, 351 denominator= 3530 numerators:, 353 denominator= 3540 numerators:, 354 denominator= 3550 numerators:, 355 denominator= 3552 numerators:, 555, 1554, 2553, 4551, 5550 denominator= 3555 numerators:, 9954, 16353, 22752, 29151 denominator= 3590 numerators:, 359 denominator= 3600 numerators:, 360 denominator= 3608 numerators:, 164 denominator= 3610 numerators:, 361 denominator= 3620 numerators:, 362 denominator= 3640 numerators:, 364 denominator= 3641 numerators:, 662 denominator= 3650 numerators:, 365, 1460 denominator= 3652 numerators:, 166, 664, 1162, 1660 denominator= 3655 numerators:, 1462 denominator= 3660 numerators:, 366, 1464, 2562 denominator= 3663 numerators:, 666, 1665, 2664, 4662, 5661, 6660 denominator= 3664 numerators:, 9160 denominator= 3665 numerators:, 1466, 5864, 8063, 10262, 12461 denominator= 3666 numerators:, 9165, 20163, 31161 denominator= 3700 numerators:, 370 denominator= 3710 numerators:, 371 denominator= 3720 numerators:, 372 denominator= 3730 numerators:, 373 denominator= 3750 numerators:, 375 denominator= 3760 numerators:, 376 denominator= 3770 numerators:, 377 denominator= 3774 numerators:, 777, 1776, 2775, 4773, 5772, 6771, 7770 denominator= 3775 numerators:, 10570 denominator= 3776 numerators:, 12272 denominator= 3790 numerators:, 379 denominator= 3800 numerators:, 380 denominator= 3810 numerators:, 381 denominator= 3820 numerators:, 382 denominator= 3830 numerators:, 383 denominator= 3840 numerators:, 384 denominator= 3860 numerators:, 386 denominator= 3864 numerators:, 1380 denominator= 3870 numerators:, 387 denominator= 3875 numerators:, 1085, 2480 denominator= 3878 numerators:, 1385 denominator= 3880 numerators:, 388 denominator= 3885 numerators:, 888, 1887, 2886, 4884, 5883, 6882, 7881, 8880 denominator= 3888 numerators:, 21384 denominator= 3900 numerators:, 195, 390 denominator= 3910 numerators:, 391 denominator= 3920 numerators:, 98, 196, 294, 392, 490 denominator= 3928 numerators:, 491 denominator= 3930 numerators:, 393 denominator= 3936 numerators:, 492 denominator= 3940 numerators:, 197, 394, 591 denominator= 3944 numerators:, 493 denominator= 3950 numerators:, 395, 790 denominator= 3952 numerators:, 494 denominator= 3955 numerators:, 791 denominator= 3964 numerators:, 991 denominator= 3965 numerators:, 793 denominator= 3968 numerators:, 496, 992 denominator= 3970 numerators:, 397, 794, 1191 denominator= 3972 numerators:, 993 denominator= 3975 numerators:, 795, 1590 denominator= 3976 numerators:, 497, 994, 1491 denominator= 3980 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 3982 numerators:, 1991 denominator= 3984 numerators:, 498, 996, 1494, 1992, 2490 denominator= 3985 numerators:, 797, 1594, 2391 denominator= 3986 numerators:, 1993 denominator= 3988 numerators:, 997, 1994, 2991 denominator= 3990 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591 denominator= 3992 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 4491, 4990 denominator= 3994 numerators:, 1997, 5991 denominator= 3995 numerators:, 799, 1598, 2397, 3196, 4794, 5593, 6392, 7191 denominator= 3996 numerators:, 999, 1998, 2997, 4995, 5994, 6993, 8991, 9990 denominator= 3998 numerators:, 1999, 5997, 9995, 13993, 17991 denominator= 4100 numerators:, 410 denominator= 4107 numerators:, 111, 1110 denominator= 4110 numerators:, 411 denominator= 4200 numerators:, 420 denominator= 4210 numerators:, 421 denominator= 4218 numerators:, 222, 1221, 2220 denominator= 4220 numerators:, 422, 2321 denominator= 4222 numerators:, 23221 denominator= 4300 numerators:, 430 denominator= 4303 numerators:, 331 denominator= 4310 numerators:, 431 denominator= 4316 numerators:, 332, 830 denominator= 4320 numerators:, 432 denominator= 4325 numerators:, 1730 denominator= 4329 numerators:, 333, 1332, 2331, 3330 denominator= 4330 numerators:, 433, 1732, 3031 denominator= 4332 numerators:, 10830 denominator= 4390 numerators:, 439 denominator= 4410 numerators:, 441 denominator= 4420 numerators:, 442 denominator= 4430 numerators:, 443 denominator= 4440 numerators:, 444, 1443, 2442, 3441 denominator= 4444 numerators:, 14443, 24442, 34441 denominator= 4500 numerators:, 450 denominator= 4520 numerators:, 452 denominator= 4530 numerators:, 453 denominator= 4540 numerators:, 454 denominator= 4550 numerators:, 455 denominator= 4551 numerators:, 555, 1554, 2553, 3552, 5550 denominator= 4555 numerators:, 12754, 20953, 29152, 37351 denominator= 4600 numerators:, 460 denominator= 4610 numerators:, 461 denominator= 4627 numerators:, 661 denominator= 4630 numerators:, 463 denominator= 4634 numerators:, 662 denominator= 4640 numerators:, 464, 1160 denominator= 4641 numerators:, 663 denominator= 4644 numerators:, 1161 denominator= 4648 numerators:, 166, 664, 1162, 1660 denominator= 4650 numerators:, 465, 1860 denominator= 4652 numerators:, 1163 denominator= 4655 numerators:, 266, 665, 1064, 1463, 1862, 2261, 2660 denominator= 4656 numerators:, 1164 denominator= 4660 numerators:, 466, 1165, 1864, 2563, 3262, 3961 denominator= 4662 numerators:, 666, 1665, 2664, 3663, 5661, 6660 denominator= 4664 numerators:, 1166, 8162, 11660 denominator= 4665 numerators:, 1866, 7464, 10263, 13062, 15861 denominator= 4666 numerators:, 11665, 25663, 39661 denominator= 4700 numerators:, 470 denominator= 4710 numerators:, 471 denominator= 4720 numerators:, 472 denominator= 4740 numerators:, 474 denominator= 4750 numerators:, 475 denominator= 4760 numerators:, 476 denominator= 4770 numerators:, 477 denominator= 4773 numerators:, 777, 1776, 2775, 3774, 5772, 6771, 7770 denominator= 4775 numerators:, 13370 denominator= 4800 numerators:, 480 denominator= 4810 numerators:, 481 denominator= 4820 numerators:, 482 denominator= 4830 numerators:, 483 denominator= 4850 numerators:, 485 denominator= 4851 numerators:, 882 denominator= 4860 numerators:, 486 denominator= 4862 numerators:, 884 denominator= 4870 numerators:, 487 denominator= 4873 numerators:, 886 denominator= 4880 numerators:, 488, 1586, 2684, 3782 denominator= 4884 numerators:, 888, 1887, 2886, 3885, 5883, 6882, 7881, 8880 denominator= 4888 numerators:, 10387, 15886, 21385, 26884, 32383, 37882, 43381 denominator= 4900 numerators:, 98, 196, 294, 392, 490 denominator= 4910 numerators:, 491 denominator= 4920 numerators:, 492 denominator= 4925 numerators:, 197, 394, 591 denominator= 4930 numerators:, 493 denominator= 4940 numerators:, 494 denominator= 4955 numerators:, 991 denominator= 4960 numerators:, 496, 992 denominator= 4965 numerators:, 993 denominator= 4970 numerators:, 497, 994, 1491 denominator= 4975 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 4980 numerators:, 498, 996, 1494, 1992, 2490 denominator= 4982 numerators:, 2491 denominator= 4984 numerators:, 2492 denominator= 4985 numerators:, 997, 1994, 2991 denominator= 4986 numerators:, 2493 denominator= 4988 numerators:, 2494 denominator= 4990 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491 denominator= 4992 numerators:, 2496 denominator= 4994 numerators:, 2497, 7491 denominator= 4995 numerators:, 999, 1998, 2997, 3996, 5994, 6993, 7992, 8991 denominator= 4996 numerators:, 2498, 7494, 12490 denominator= 4998 numerators:, 2499, 7497, 12495, 17493, 22491 denominator= 5100 numerators:, 510 denominator= 5106 numerators:, 111, 1110 denominator= 5110 numerators:, 511 denominator= 5190 numerators:, 519 denominator= 5200 numerators:, 520 denominator= 5210 numerators:, 521 denominator= 5217 numerators:, 222, 1221, 2220 denominator= 5220 numerators:, 522 denominator= 5222 numerators:, 28721 denominator= 5290 numerators:, 529 denominator= 5300 numerators:, 530 denominator= 5310 numerators:, 531 denominator= 5312 numerators:, 332, 830 denominator= 5320 numerators:, 133, 532, 931, 1330 denominator= 5324 numerators:, 1331 denominator= 5325 numerators:, 2130 denominator= 5328 numerators:, 333, 1332, 2331, 3330 denominator= 5330 numerators:, 533, 2132, 3731 denominator= 5332 numerators:, 1333, 9331, 13330 denominator= 5356 numerators:, 1339 denominator= 5400 numerators:, 540 denominator= 5410 numerators:, 541 denominator= 5420 numerators:, 542 denominator= 5425 numerators:, 1240 denominator= 5430 numerators:, 543 denominator= 5432 numerators:, 1940 denominator= 5439 numerators:, 444, 1443, 2442, 3441, 4440 denominator= 5440 numerators:, 544 denominator= 5444 numerators:, 29942 denominator= 5510 numerators:, 551 denominator= 5520 numerators:, 552 denominator= 5530 numerators:, 553 denominator= 5540 numerators:, 554 denominator= 5550 numerators:, 555, 1554, 2553, 3552, 4551 denominator= 5555 numerators:, 15554, 25553, 35552, 45551 denominator= 5600 numerators:, 560 denominator= 5620 numerators:, 562 denominator= 5627 numerators:, 662 denominator= 5630 numerators:, 563 denominator= 5640 numerators:, 564 denominator= 5644 numerators:, 166, 664, 1162, 1660 denominator= 5650 numerators:, 565, 2260 denominator= 5655 numerators:, 2262 denominator= 5660 numerators:, 566, 2264, 3962 denominator= 5661 numerators:, 666, 1665, 2664, 3663, 4662, 6660 denominator= 5664 numerators:, 14160 denominator= 5665 numerators:, 2266, 9064, 12463, 15862, 19261 denominator= 5666 numerators:, 14165, 31163, 48161 denominator= 5700 numerators:, 570 denominator= 5710 numerators:, 571 denominator= 5730 numerators:, 573 denominator= 5740 numerators:, 574 denominator= 5750 numerators:, 575 denominator= 5759 numerators:, 1772 denominator= 5760 numerators:, 576, 1872 denominator= 5770 numerators:, 577 denominator= 5772 numerators:, 777, 1776, 2775, 3774, 4773, 6771, 7770 denominator= 5775 numerators:, 16170 denominator= 5776 numerators:, 12274, 18772, 25270 denominator= 5800 numerators:, 580 denominator= 5810 numerators:, 581 denominator= 5820 numerators:, 582 denominator= 5840 numerators:, 584 denominator= 5850 numerators:, 585 denominator= 5860 numerators:, 586 denominator= 5870 numerators:, 587 denominator= 5880 numerators:, 588 denominator= 5883 numerators:, 888, 1887, 2886, 3885, 4884, 6882, 7881, 8880 denominator= 5888 numerators:, 32384 denominator= 5900 numerators:, 295, 590 denominator= 5904 numerators:, 492 denominator= 5910 numerators:, 197, 394, 591 denominator= 5916 numerators:, 493 denominator= 5920 numerators:, 296, 592 denominator= 5925 numerators:, 395, 790 denominator= 5928 numerators:, 494 denominator= 5930 numerators:, 593 denominator= 5946 numerators:, 991 denominator= 5950 numerators:, 595, 1190 denominator= 5952 numerators:, 496, 992 denominator= 5955 numerators:, 397, 794, 1191 denominator= 5958 numerators:, 993 denominator= 5960 numerators:, 298, 596, 894, 1192, 1490 denominator= 5964 numerators:, 497, 994, 1491 denominator= 5965 numerators:, 1193 denominator= 5968 numerators:, 1492 denominator= 5970 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 5972 numerators:, 1493 denominator= 5973 numerators:, 1991 denominator= 5975 numerators:, 1195, 2390 denominator= 5976 numerators:, 498, 996, 1494, 1992, 2490 denominator= 5979 numerators:, 1993 denominator= 5980 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2691, 2990 denominator= 5982 numerators:, 997, 1994, 2991 denominator= 5984 numerators:, 1496, 2992 denominator= 5985 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591, 3990 denominator= 5986 numerators:, 2993 denominator= 5988 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 5990 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4193, 4792, 5391 denominator= 5991 numerators:, 1997, 3994 denominator= 5992 numerators:, 1498, 2996, 4494, 7490 denominator= 5994 numerators:, 999, 1998, 2997, 3996, 4995, 6993, 7992, 8991, 9990 denominator= 5995 numerators:, 1199, 2398, 3597, 4796, 7194, 8393, 9592, 10791 denominator= 5996 numerators:, 1499, 2998, 4497, 7495, 8994, 10493, 13491, 14990 denominator= 5997 numerators:, 1999, 3998, 7996, 9995, 13993, 15992, 19990 denominator= 5998 numerators:, 2999, 8997, 14995, 20993, 26991 denominator= 6100 numerators:, 610 denominator= 6105 numerators:, 111, 1110 denominator= 6110 numerators:, 611 denominator= 6190 numerators:, 619 denominator= 6200 numerators:, 620 denominator= 6210 numerators:, 621 denominator= 6216 numerators:, 222, 1221, 2220 denominator= 6220 numerators:, 622, 3421 denominator= 6222 numerators:, 34221 denominator= 6290 numerators:, 629 denominator= 6300 numerators:, 630 denominator= 6308 numerators:, 332, 830 denominator= 6310 numerators:, 631 denominator= 6320 numerators:, 632 denominator= 6325 numerators:, 2530 denominator= 6327 numerators:, 333, 1332, 2331, 3330 denominator= 6330 numerators:, 633, 2532, 4431 denominator= 6332 numerators:, 15830 denominator= 6400 numerators:, 640 denominator= 6409 numerators:, 442 denominator= 6410 numerators:, 641 denominator= 6420 numerators:, 642 denominator= 6430 numerators:, 643 denominator= 6438 numerators:, 444, 1443, 2442, 3441, 4440 denominator= 6440 numerators:, 644, 3542 denominator= 6444 numerators:, 20943, 35442, 49941 denominator= 6500 numerators:, 650 denominator= 6510 numerators:, 651 denominator= 6520 numerators:, 652 denominator= 6530 numerators:, 653 denominator= 6540 numerators:, 654 denominator= 6549 numerators:, 555, 1554, 2553, 3552, 4551, 5550 denominator= 6550 numerators:, 655 denominator= 6555 numerators:, 18354, 30153, 41952, 53751 denominator= 6590 numerators:, 659 denominator= 6610 numerators:, 661 denominator= 6620 numerators:, 662 denominator= 6625 numerators:, 265, 1060 denominator= 6630 numerators:, 663 denominator= 6640 numerators:, 166, 664, 1162, 1660 denominator= 6644 numerators:, 1661 denominator= 6648 numerators:, 1662 denominator= 6650 numerators:, 266, 665, 1064, 1463, 1862, 2261, 2660 denominator= 6652 numerators:, 1663 denominator= 6655 numerators:, 2662 denominator= 6656 numerators:, 1664, 4160 denominator= 6660 numerators:, 666, 1665, 2664, 3663, 4662, 5661 denominator= 6664 numerators:, 1666, 4165, 9163, 11662, 14161, 16660 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661 denominator= 6666 numerators:, 16665, 36663, 56661 denominator= 6700 numerators:, 670 denominator= 6720 numerators:, 672 denominator= 6730 numerators:, 673 denominator= 6740 numerators:, 674 denominator= 6750 numerators:, 675 denominator= 6760 numerators:, 676 denominator= 6770 numerators:, 677 denominator= 6771 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 7770 denominator= 6775 numerators:, 18970 denominator= 6790 numerators:, 679 denominator= 6800 numerators:, 680 denominator= 6810 numerators:, 681 denominator= 6830 numerators:, 683 denominator= 6840 numerators:, 684 denominator= 6850 numerators:, 685 denominator= 6851 numerators:, 884 denominator= 6860 numerators:, 686 denominator= 6870 numerators:, 687 denominator= 6880 numerators:, 688, 3784 denominator= 6882 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 7881, 8880 denominator= 6888 numerators:, 22386, 37884, 53382 denominator= 6900 numerators:, 690 denominator= 6902 numerators:, 493 denominator= 6910 numerators:, 691 denominator= 6916 numerators:, 494 denominator= 6920 numerators:, 692 denominator= 6937 numerators:, 991 denominator= 6940 numerators:, 694 denominator= 6944 numerators:, 496, 992 denominator= 6950 numerators:, 695, 1390 denominator= 6951 numerators:, 993 denominator= 6955 numerators:, 1391 denominator= 6958 numerators:, 497, 994, 1491 denominator= 6960 numerators:, 696, 1392 denominator= 6965 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 6970 numerators:, 697, 1394, 2091 denominator= 6972 numerators:, 498, 996, 1494, 1992, 2490 denominator= 6975 numerators:, 1395, 2790 denominator= 6979 numerators:, 997, 1994, 2991 denominator= 6980 numerators:, 698, 1396, 2094, 2792, 3490 denominator= 6982 numerators:, 3491 denominator= 6984 numerators:, 3492 denominator= 6985 numerators:, 1397, 2794, 4191 denominator= 6986 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 6988 numerators:, 3494 denominator= 6990 numerators:, 699, 1398, 2097, 2796, 3495, 4194, 4893, 5592, 6291 denominator= 6992 numerators:, 3496 denominator= 6993 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 7992, 8991, 9990 denominator= 6994 numerators:, 3497, 10491 denominator= 6995 numerators:, 1399, 2798, 4197, 5596, 8394, 9793, 11192, 12591 denominator= 6996 numerators:, 3498, 10494, 17490 denominator= 6998 numerators:, 3499, 10497, 17495, 24493, 31491 denominator= 7100 numerators:, 710 denominator= 7104 numerators:, 111, 1110 denominator= 7110 numerators:, 711 denominator= 7190 numerators:, 719 denominator= 7200 numerators:, 720 denominator= 7210 numerators:, 721 denominator= 7215 numerators:, 222, 1221, 2220 denominator= 7220 numerators:, 722 denominator= 7222 numerators:, 39721 denominator= 7300 numerators:, 730 denominator= 7304 numerators:, 332, 830 denominator= 7310 numerators:, 731 denominator= 7315 numerators:, 133, 532, 931, 1330 denominator= 7320 numerators:, 732, 1830 denominator= 7324 numerators:, 1831 denominator= 7325 numerators:, 2930 denominator= 7326 numerators:, 333, 1332, 2331, 3330 denominator= 7328 numerators:, 1832 denominator= 7330 numerators:, 733, 2932, 5131 denominator= 7332 numerators:, 1833, 12831, 18330 denominator= 7390 numerators:, 739 denominator= 7400 numerators:, 740 denominator= 7410 numerators:, 741 denominator= 7420 numerators:, 742 denominator= 7430 numerators:, 743 denominator= 7437 numerators:, 444, 1443, 2442, 3441, 4440 denominator= 7440 numerators:, 744 denominator= 7444 numerators:, 40942 denominator= 7500 numerators:, 750 denominator= 7510 numerators:, 751 denominator= 7520 numerators:, 752 denominator= 7530 numerators:, 753 denominator= 7540 numerators:, 754 denominator= 7548 numerators:, 555, 1554, 2553, 3552, 4551, 5550 denominator= 7550 numerators:, 755 denominator= 7555 numerators:, 21154, 34753, 48352, 61951 denominator= 7600 numerators:, 760 denominator= 7610 numerators:, 761 denominator= 7613 numerators:, 662 denominator= 7620 numerators:, 762 denominator= 7630 numerators:, 763 denominator= 7636 numerators:, 166, 664, 1162, 1660 denominator= 7640 numerators:, 764 denominator= 7650 numerators:, 765, 3060 denominator= 7655 numerators:, 3062 denominator= 7659 numerators:, 666, 1665, 2664, 3663, 4662, 5661, 6660 denominator= 7660 numerators:, 766, 3064, 5362 denominator= 7664 numerators:, 19160 denominator= 7665 numerators:, 3066, 12264, 16863, 21462, 26061 denominator= 7666 numerators:, 19165, 42163, 65161 denominator= 7710 numerators:, 771 denominator= 7720 numerators:, 772 denominator= 7728 numerators:, 276 denominator= 7730 numerators:, 773 denominator= 7740 numerators:, 774 denominator= 7750 numerators:, 775, 2170 denominator= 7756 numerators:, 277, 2770 denominator= 7760 numerators:, 776 denominator= 7770 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 7775 numerators:, 2177, 4976, 10574, 13373, 16172, 18971, 21770 denominator= 7776 numerators:, 25272 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771 denominator= 7790 numerators:, 779 denominator= 7800 numerators:, 780 denominator= 7820 numerators:, 782 denominator= 7830 numerators:, 783 denominator= 7840 numerators:, 784 denominator= 7850 numerators:, 785 denominator= 7860 numerators:, 786 denominator= 7870 numerators:, 787 denominator= 7880 numerators:, 788 denominator= 7881 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 8880 denominator= 7888 numerators:, 43384 denominator= 7900 numerators:, 395, 790 denominator= 7904 numerators:, 494 denominator= 7910 numerators:, 791 denominator= 7928 numerators:, 991 denominator= 7930 numerators:, 793 denominator= 7936 numerators:, 496, 992 denominator= 7940 numerators:, 397, 794, 1191 denominator= 7944 numerators:, 993 denominator= 7950 numerators:, 795, 1590 denominator= 7952 numerators:, 497, 994, 1491 denominator= 7955 numerators:, 1591 denominator= 7960 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 7964 numerators:, 1991 denominator= 7965 numerators:, 1593 denominator= 7968 numerators:, 498, 996, 1494, 1992, 2490 denominator= 7970 numerators:, 797, 1594, 2391 denominator= 7972 numerators:, 1993 denominator= 7975 numerators:, 1595, 3190 denominator= 7976 numerators:, 997, 1994, 2991 denominator= 7980 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591, 3990 denominator= 7982 numerators:, 3991 denominator= 7984 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 7985 numerators:, 1597, 3194, 4791 denominator= 7986 numerators:, 3993 denominator= 7988 numerators:, 1997, 3994, 5991 denominator= 7990 numerators:, 799, 1598, 2397, 3196, 3995, 4794, 5593, 6392, 7191 denominator= 7992 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 8991, 9990 denominator= 7994 numerators:, 3997, 11991 denominator= 7995 numerators:, 1599, 3198, 4797, 6396, 9594, 11193, 12792, 14391 denominator= 7996 numerators:, 1999, 3998, 5997, 9995, 11994, 13993, 17991, 19990 denominator= 7998 numerators:, 3999, 11997, 19995, 27993, 35991 denominator= 8100 numerators:, 810 denominator= 8103 numerators:, 111, 1110 denominator= 8110 numerators:, 811 denominator= 8200 numerators:, 820 denominator= 8210 numerators:, 821 denominator= 8214 numerators:, 222, 1221, 2220 denominator= 8220 numerators:, 822, 4521 denominator= 8222 numerators:, 45221 denominator= 8300 numerators:, 332, 830 denominator= 8310 numerators:, 831 denominator= 8320 numerators:, 832 denominator= 8325 numerators:, 333, 1332, 2331, 3330 denominator= 8330 numerators:, 833, 3332, 5831 denominator= 8332 numerators:, 20830 denominator= 8400 numerators:, 840 denominator= 8410 numerators:, 841 denominator= 8417 numerators:, 443 denominator= 8420 numerators:, 842 denominator= 8430 numerators:, 843 denominator= 8436 numerators:, 444, 1443, 2442, 3441, 4440 denominator= 8440 numerators:, 844, 2743, 4642, 6541 denominator= 8444 numerators:, 27443, 46442, 65441 denominator= 8500 numerators:, 850 denominator= 8510 numerators:, 851 denominator= 8520 numerators:, 852 denominator= 8525 numerators:, 155, 1550 denominator= 8530 numerators:, 853 denominator= 8536 numerators:, 1552 denominator= 8540 numerators:, 854, 1952, 3050 denominator= 8547 numerators:, 555, 1554, 2553, 3552, 4551, 5550 denominator= 8550 numerators:, 855 denominator= 8554 numerators:, 3055, 14053, 19552, 25051, 30550 denominator= 8555 numerators:, 23954, 39353, 54752, 70151 denominator= 8600 numerators:, 860 denominator= 8606 numerators:, 662 denominator= 8610 numerators:, 861 denominator= 8619 numerators:, 663 denominator= 8620 numerators:, 862 denominator= 8630 numerators:, 863 denominator= 8632 numerators:, 166, 664, 1162, 1660 denominator= 8640 numerators:, 864, 2160 denominator= 8644 numerators:, 2161 denominator= 8645 numerators:, 266, 665, 1064, 1463, 1862, 2261, 2660 denominator= 8648 numerators:, 2162 denominator= 8650 numerators:, 865, 3460 denominator= 8652 numerators:, 2163 denominator= 8655 numerators:, 3462 denominator= 8656 numerators:, 2164 denominator= 8658 numerators:, 666, 1665, 2664, 3663, 4662, 5661, 6660 denominator= 8660 numerators:, 866, 2165, 3464, 4763, 6062, 7361 denominator= 8664 numerators:, 2166, 15162, 21660 denominator= 8665 numerators:, 3466, 13864, 19063, 24262, 29461 denominator= 8666 numerators:, 21665, 47663, 73661 denominator= 8700 numerators:, 870 denominator= 8710 numerators:, 871 denominator= 8720 numerators:, 872 denominator= 8730 numerators:, 873 denominator= 8740 numerators:, 874 denominator= 8750 numerators:, 875 denominator= 8760 numerators:, 876 denominator= 8769 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 6771, 7770 denominator= 8770 numerators:, 877 denominator= 8775 numerators:, 24570 denominator= 8810 numerators:, 881 denominator= 8820 numerators:, 882 denominator= 8830 numerators:, 883 denominator= 8832 numerators:, 1380 denominator= 8840 numerators:, 884 denominator= 8850 numerators:, 885 denominator= 8860 numerators:, 886 denominator= 8864 numerators:, 1385 denominator= 8870 numerators:, 887 denominator= 8875 numerators:, 2485, 5680 denominator= 8880 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881 denominator= 8900 numerators:, 890 denominator= 8919 numerators:, 991 denominator= 8920 numerators:, 892 denominator= 8925 numerators:, 595, 1190 denominator= 8928 numerators:, 496, 992 denominator= 8930 numerators:, 893 denominator= 8937 numerators:, 993 denominator= 8940 numerators:, 298, 596, 894, 1192, 1490 denominator= 8946 numerators:, 497, 994, 1491 denominator= 8950 numerators:, 895, 1790 denominator= 8952 numerators:, 1492 denominator= 8955 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 8958 numerators:, 1493 denominator= 8960 numerators:, 896, 1792 denominator= 8964 numerators:, 498, 996, 1494, 1992, 2490 denominator= 8965 numerators:, 1793 denominator= 8970 numerators:, 299, 598, 897, 1196, 1495, 1794, 2093, 2392, 2691, 2990 denominator= 8973 numerators:, 997, 1994, 2991 denominator= 8975 numerators:, 1795, 3590 denominator= 8976 numerators:, 1496, 2992 denominator= 8979 numerators:, 2993 denominator= 8980 numerators:, 898, 1796, 2694, 3592, 4490 denominator= 8982 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 8984 numerators:, 4492 denominator= 8985 numerators:, 599, 1198, 1797, 2396, 2995, 3594, 4193, 4792, 5391, 5990 denominator= 8986 numerators:, 4493 denominator= 8988 numerators:, 1498, 2996, 4494, 5992, 7490 denominator= 8990 numerators:, 899, 1798, 2697, 3596, 4495, 5394, 6293, 7192, 8091 denominator= 8991 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 7992, 9990 denominator= 8992 numerators:, 4496 denominator= 8994 numerators:, 1499, 2998, 4497, 5996, 7495, 10493, 11992, 13491, 14990 denominator= 8995 numerators:, 1799, 3598, 5397, 7196, 10794, 12593, 14392, 16191 denominator= 8996 numerators:, 4498, 13494, 22490 denominator= 8997 numerators:, 2999, 5998, 11996, 14995, 20993, 23992, 29990 denominator= 8998 numerators:, 4499, 13497, 22495, 31493, 40491 denominator= 9100 numerators:, 910 denominator= 9102 numerators:, 111, 1110 denominator= 9110 numerators:, 911 denominator= 9190 numerators:, 919 denominator= 9200 numerators:, 920 denominator= 9210 numerators:, 921 denominator= 9213 numerators:, 222, 1221, 2220 denominator= 9220 numerators:, 922 denominator= 9222 numerators:, 50721 denominator= 9290 numerators:, 929 denominator= 9300 numerators:, 930 denominator= 9310 numerators:, 133, 532, 931, 1330 denominator= 9317 numerators:, 1331 denominator= 9320 numerators:, 233, 932, 1631, 2330 denominator= 9324 numerators:, 333, 1332, 2331, 3330 denominator= 9325 numerators:, 3730 denominator= 9328 numerators:, 2332, 5830 denominator= 9330 numerators:, 933, 3732, 6531 denominator= 9331 numerators:, 1333, 5332, 13330 denominator= 9332 numerators:, 2333, 16331, 23330 denominator= 9373 numerators:, 1339 denominator= 9400 numerators:, 940 denominator= 9410 numerators:, 941 denominator= 9420 numerators:, 942 denominator= 9430 numerators:, 943 denominator= 9435 numerators:, 444, 1443, 2442, 3441, 4440 denominator= 9440 numerators:, 944 denominator= 9444 numerators:, 51942 denominator= 9490 numerators:, 949 denominator= 9500 numerators:, 950 denominator= 9510 numerators:, 951 denominator= 9520 numerators:, 952 denominator= 9530 numerators:, 953 denominator= 9540 numerators:, 954 denominator= 9546 numerators:, 555, 1554, 2553, 3552, 4551, 5550 denominator= 9550 numerators:, 955 denominator= 9555 numerators:, 26754, 43953, 61152, 78351 denominator= 9600 numerators:, 960 denominator= 9610 numerators:, 961 denominator= 9620 numerators:, 962 denominator= 9628 numerators:, 166, 664, 1162, 1660 denominator= 9630 numerators:, 963 denominator= 9640 numerators:, 964 denominator= 9650 numerators:, 965, 3860 denominator= 9655 numerators:, 3862 denominator= 9657 numerators:, 666, 1665, 2664, 3663, 4662, 5661, 6660 denominator= 9660 numerators:, 966, 3864, 6762 denominator= 9664 numerators:, 24160 denominator= 9665 numerators:, 3866, 15464, 21263, 27062, 32861 denominator= 9666 numerators:, 24165, 53163, 82161 denominator= 9700 numerators:, 970 denominator= 9710 numerators:, 971 denominator= 9720 numerators:, 972 denominator= 9730 numerators:, 973 denominator= 9735 numerators:, 177, 1770 denominator= 9740 numerators:, 974 denominator= 9746 numerators:, 1772 denominator= 9750 numerators:, 975 denominator= 9757 numerators:, 1774 denominator= 9760 numerators:, 976, 2074, 3172, 4270 denominator= 9768 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 6771, 7770 denominator= 9770 numerators:, 977 denominator= 9775 numerators:, 27370 denominator= 9776 numerators:, 4277, 15275, 20774, 26273, 31772, 37271, 42770 denominator= 9800 numerators:, 980 denominator= 9810 numerators:, 981 denominator= 9820 numerators:, 982 denominator= 9830 numerators:, 983 denominator= 9840 numerators:, 984 denominator= 9850 numerators:, 985 denominator= 9860 numerators:, 986 denominator= 9870 numerators:, 987 denominator= 9879 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 7881, 8880 denominator= 9880 numerators:, 988 denominator= 9888 numerators:, 54384 denominator= 9910 numerators:, 991 denominator= 9920 numerators:, 496, 992 denominator= 9925 numerators:, 397, 794, 1191 denominator= 9930 numerators:, 993 denominator= 9940 numerators:, 497, 994, 1491 denominator= 9950 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 9955 numerators:, 1991 denominator= 9960 numerators:, 498, 996, 1494, 1992, 2490 denominator= 9964 numerators:, 2491 denominator= 9965 numerators:, 1993 denominator= 9968 numerators:, 2492 denominator= 9970 numerators:, 997, 1994, 2991 denominator= 9972 numerators:, 2493 denominator= 9975 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591, 3990 denominator= 9976 numerators:, 2494 denominator= 9980 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 9982 numerators:, 4991 denominator= 9984 numerators:, 2496, 4992 denominator= 9985 numerators:, 1997, 3994, 5991 denominator= 9986 numerators:, 4993 denominator= 9988 numerators:, 2497, 4994, 7491 denominator= 9990 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 7992, 8991 denominator= 9992 numerators:, 2498, 4996, 7494, 12490 denominator= 9994 numerators:, 4997, 14991 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991 denominator= 9996 numerators:, 2499, 4998, 7497, 12495, 14994, 17493, 22491, 24990 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991 ------------------------------------------------------------------------- Section 11 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 1100 numerators:, 110 denominator= 1210 numerators:, 220, 2200 denominator= 1300 numerators:, 325 denominator= 1304 numerators:, 326 denominator= 1308 numerators:, 327 denominator= 1312 numerators:, 328 denominator= 1316 numerators:, 329, 2303 denominator= 1320 numerators:, 330, 2310, 3300 denominator= 1322 numerators:, 3305 denominator= 1324 numerators:, 331, 2317, 3310, 4303 denominator= 1326 numerators:, 3315 denominator= 1328 numerators:, 332, 2324, 3320, 4316, 6308, 7304, 8300 denominator= 1330 numerators:, 3325, 7315, 11305 denominator= 1404 numerators:, 432 denominator= 1417 numerators:, 436 denominator= 1430 numerators:, 440, 2420, 3410, 4400 denominator= 1512 numerators:, 540 denominator= 1526 numerators:, 545, 2507 denominator= 1533 numerators:, 3504 denominator= 1540 numerators:, 550, 2530, 3520, 4510, 5500 denominator= 1546 numerators:, 8503 denominator= 1547 numerators:, 3536, 5525, 7514, 9503 denominator= 1548 numerators:, 8514 denominator= 1550 numerators:, 8525 denominator= 1552 numerators:, 8536, 22504 denominator= 1600 numerators:, 640 denominator= 1605 numerators:, 642 denominator= 1610 numerators:, 644 denominator= 1615 numerators:, 646 denominator= 1620 numerators:, 648 denominator= 1625 numerators:, 650, 2600 denominator= 1630 numerators:, 652, 2608 denominator= 1635 numerators:, 654, 2616 denominator= 1640 numerators:, 656, 2624, 3608 denominator= 1645 numerators:, 658, 2632, 3619, 4606 denominator= 1650 numerators:, 660, 2640, 3630, 4620, 5610 denominator= 1655 numerators:, 662, 2648, 3641, 4634, 5627, 7613, 8606 denominator= 1660 numerators:, 664, 2656, 3652, 4648, 5644, 7636, 8632, 9628, 10624, 12616, 13612, 14608, 15604 denominator= 1712 numerators:, 749 denominator= 1728 numerators:, 756, 2700 denominator= 1744 numerators:, 763, 2725, 3706 denominator= 1752 numerators:, 3723 denominator= 1756 numerators:, 5707 denominator= 1760 numerators:, 770, 2750, 3740, 4730, 5720, 6710, 7700 denominator= 1764 numerators:, 5733, 9702 denominator= 1766 numerators:, 9713 denominator= 1768 numerators:, 3757, 5746, 7735, 9724, 11713, 13702 denominator= 1770 numerators:, 9735 denominator= 1772 numerators:, 5759, 9746, 13733, 21707 denominator= 1774 numerators:, 9757, 25723 denominator= 1802 numerators:, 848 denominator= 1819 numerators:, 856 denominator= 1836 numerators:, 864, 2808 denominator= 1853 numerators:, 872, 2834, 3815 denominator= 1870 numerators:, 880, 2860, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 1900 numerators:, 950 denominator= 1902 numerators:, 951 denominator= 1904 numerators:, 952 denominator= 1906 numerators:, 953 denominator= 1908 numerators:, 954 denominator= 1910 numerators:, 955 denominator= 1912 numerators:, 956 denominator= 1914 numerators:, 957 denominator= 1916 numerators:, 958 denominator= 1918 numerators:, 959 denominator= 1920 numerators:, 960 denominator= 1922 numerators:, 961 denominator= 1924 numerators:, 962 denominator= 1926 numerators:, 963 denominator= 1928 numerators:, 964 denominator= 1930 numerators:, 965 denominator= 1932 numerators:, 966 denominator= 1934 numerators:, 967, 2901 denominator= 1936 numerators:, 968, 2904 denominator= 1938 numerators:, 969, 2907 denominator= 1940 numerators:, 970, 2910 denominator= 1942 numerators:, 971, 2913 denominator= 1944 numerators:, 972, 2916 denominator= 1946 numerators:, 973, 2919 denominator= 1948 numerators:, 974, 2922 denominator= 1950 numerators:, 975, 2925 denominator= 1952 numerators:, 976, 2928 denominator= 1954 numerators:, 977, 2931 denominator= 1956 numerators:, 978, 2934 denominator= 1958 numerators:, 979, 2937 denominator= 1960 numerators:, 980, 2940, 4900 denominator= 1962 numerators:, 981, 2943, 4905 denominator= 1964 numerators:, 982, 2946, 4910 denominator= 1966 numerators:, 983, 2949, 4915 denominator= 1968 numerators:, 984, 2952, 4920 denominator= 1970 numerators:, 985, 2955, 4925 denominator= 1972 numerators:, 986, 2958, 4930, 6902 denominator= 1974 numerators:, 987, 2961, 4935, 6909 denominator= 1976 numerators:, 988, 2964, 4940, 6916 denominator= 1978 numerators:, 989, 2967, 4945, 6923, 8901 denominator= 1980 numerators:, 990, 2970, 4950, 6930, 8910 denominator= 1982 numerators:, 991, 2973, 4955, 6937, 8919, 10901 denominator= 1984 numerators:, 992, 2976, 4960, 6944, 8928, 10912 denominator= 1986 numerators:, 993, 2979, 4965, 6951, 8937, 10923, 12909 denominator= 1988 numerators:, 994, 2982, 4970, 6958, 8946, 10934, 12922, 14910 denominator= 1990 numerators:, 995, 2985, 4975, 6965, 8955, 10945, 12935, 14925, 16915, 18905 denominator= 1992 numerators:, 996, 2988, 4980, 6972, 8964, 10956, 12948, 14940, 16932, 18924, 20916, 22908, 24900 denominator= 1994 numerators:, 997, 2991, 4985, 6979, 8973, 10967, 12961, 14955, 16949, 18943, 20937, 22931, 24925, 26919, 28913, 30907, 32901 denominator= 1996 numerators:, 998, 2994, 4990, 6986, 8982, 10978, 12974, 14970, 16966, 18962, 20958, 22954, 24950, 26946, 28942, 30938, 32934, 34930, 36926, 38922, 40918, 42914, 44910, 46906, 48902 denominator= 2200 numerators:, 220, 1210 denominator= 2210 numerators:, 221 denominator= 2215 numerators:, 6202 denominator= 2216 numerators:, 7202 denominator= 2222 numerators:, 12221, 32219, 52217, 72215, 92213, 112211, 132209, 152207, 172205, 192203, 212201 denominator= 2303 numerators:, 329, 1316 denominator= 2310 numerators:, 330, 1320, 3300 denominator= 2317 numerators:, 331, 1324, 3310, 4303 denominator= 2324 numerators:, 332, 1328, 3320, 4316, 5312, 6308, 7304, 8300 denominator= 2409 numerators:, 438 denominator= 2420 numerators:, 440, 1430, 3410, 4400 denominator= 2431 numerators:, 442, 4420, 6409 denominator= 2438 numerators:, 13409 denominator= 2440 numerators:, 13420 denominator= 2444 numerators:, 13442, 35438, 57434, 79430, 101426, 123422, 145418, 167414, 189410, 211406, 233402 denominator= 2507 numerators:, 545, 1526 denominator= 2530 numerators:, 550, 1540, 3520, 4510, 5500 denominator= 2600 numerators:, 650, 1625 denominator= 2604 numerators:, 651 denominator= 2608 numerators:, 652, 1630 denominator= 2612 numerators:, 653 denominator= 2616 numerators:, 654, 1635 denominator= 2620 numerators:, 655 denominator= 2624 numerators:, 656, 1640, 3608 denominator= 2628 numerators:, 657 denominator= 2632 numerators:, 658, 1645, 3619, 4606 denominator= 2636 numerators:, 659, 4613 denominator= 2640 numerators:, 660, 1650, 3630, 4620, 5610, 6600 denominator= 2642 numerators:, 6605 denominator= 2644 numerators:, 661, 4627, 6610 denominator= 2646 numerators:, 6615 denominator= 2648 numerators:, 662, 1655, 3641, 4634, 5627, 6620, 7613, 8606 denominator= 2650 numerators:, 6625 denominator= 2652 numerators:, 663, 4641, 6630, 8619 denominator= 2654 numerators:, 6635 denominator= 2656 numerators:, 664, 1660, 3652, 4648, 5644, 6640, 7636, 8632, 9628, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 2658 numerators:, 6645, 14619 denominator= 2660 numerators:, 665, 4655, 6650, 8645, 12635, 14630, 16625, 20615, 22610, 24605 denominator= 2662 numerators:, 6655, 14641, 22627, 30613 denominator= 2666 numerators:, 6665, 14663, 22661, 30659, 38657, 46655, 54653, 62651, 70649, 78647, 86645, 94643, 102641, 110639, 118637, 126635, 134633, 142631, 150629, 158627, 166625, 174623, 182621, 190619, 198617, 206615, 214613, 222611, 230609, 238607, 246605, 254603, 262601 denominator= 2700 numerators:, 756, 1728 denominator= 2725 numerators:, 763, 1744, 3706 denominator= 2750 numerators:, 770, 1760, 3740, 4730, 5720, 6710, 7700 denominator= 2755 numerators:, 7714 denominator= 2760 numerators:, 7728 denominator= 2765 numerators:, 7742, 12719 denominator= 2770 numerators:, 7756, 12742, 17728, 22714 denominator= 2808 numerators:, 864, 1836 denominator= 2821 numerators:, 868 denominator= 2834 numerators:, 872, 1853, 3815 denominator= 2847 numerators:, 876, 4818 denominator= 2860 numerators:, 880, 1870, 3850, 4840, 5830, 6820, 7810, 8800 denominator= 2873 numerators:, 884, 4862, 6851, 8840, 10829, 12818, 14807 denominator= 2874 numerators:, 15807 denominator= 2876 numerators:, 15818 denominator= 2878 numerators:, 15829 denominator= 2880 numerators:, 15840 denominator= 2882 numerators:, 15851 denominator= 2884 numerators:, 15862, 41818 denominator= 2888 numerators:, 15884, 41876, 67868, 93860, 119852, 145844, 171836, 197828, 223820, 249812, 275804 denominator= 2901 numerators:, 967, 1934 denominator= 2904 numerators:, 968, 1936 denominator= 2907 numerators:, 969, 1938 denominator= 2910 numerators:, 970, 1940 denominator= 2913 numerators:, 971, 1942 denominator= 2916 numerators:, 972, 1944 denominator= 2919 numerators:, 973, 1946 denominator= 2922 numerators:, 974, 1948 denominator= 2925 numerators:, 975, 1950, 3900 denominator= 2928 numerators:, 976, 1952, 3904 denominator= 2931 numerators:, 977, 1954, 3908 denominator= 2934 numerators:, 978, 1956, 3912 denominator= 2937 numerators:, 979, 1958, 3916 denominator= 2940 numerators:, 980, 1960, 3920, 4900 denominator= 2943 numerators:, 981, 1962, 3924, 4905 denominator= 2946 numerators:, 982, 1964, 3928, 4910 denominator= 2949 numerators:, 983, 1966, 3932, 4915 denominator= 2952 numerators:, 984, 1968, 3936, 4920 denominator= 2955 numerators:, 985, 1970, 3940, 4925 denominator= 2958 numerators:, 986, 1972, 3944, 4930, 6902 denominator= 2961 numerators:, 987, 1974, 3948, 4935, 6909 denominator= 2964 numerators:, 988, 1976, 3952, 4940, 6916, 7904 denominator= 2967 numerators:, 989, 1978, 3956, 4945, 6923, 7912 denominator= 2970 numerators:, 990, 1980, 3960, 4950, 6930, 7920, 9900 denominator= 2973 numerators:, 991, 1982, 3964, 4955, 6937, 7928, 9910, 10901 denominator= 2976 numerators:, 992, 1984, 3968, 4960, 6944, 7936, 9920, 10912 denominator= 2979 numerators:, 993, 1986, 3972, 4965, 6951, 7944, 9930, 10923, 12909, 13902 denominator= 2982 numerators:, 994, 1988, 3976, 4970, 6958, 7952, 9940, 10934, 12922, 13916, 15904 denominator= 2985 numerators:, 995, 1990, 3980, 4975, 6965, 7960, 9950, 10945, 12935, 13930, 15920, 16915, 18905, 19900 denominator= 2988 numerators:, 996, 1992, 3984, 4980, 6972, 7968, 9960, 10956, 12948, 13944, 15936, 16932, 18924, 19920, 21912, 22908, 24900 denominator= 2991 numerators:, 997, 1994, 3988, 4985, 6979, 7976, 9970, 10967, 12961, 13958, 15952, 16949, 18943, 19940, 21934, 22931, 24925, 25922, 27916, 28913, 30907, 31904 denominator= 2994 numerators:, 998, 1996, 3992, 4990, 6986, 7984, 9980, 10978, 12974, 13972, 15968, 16966, 18962, 19960, 21956, 22954, 24950, 25948, 27944, 28942, 30938, 31936, 33932, 34930, 36926, 37924, 39920, 40918, 42914, 43912, 45908, 46906, 48902, 49900 denominator= 3110 numerators:, 17105 denominator= 3300 numerators:, 330, 1320, 2310 denominator= 3305 numerators:, 1322 denominator= 3310 numerators:, 331, 1324, 2317, 4303 denominator= 3315 numerators:, 1326, 5304 denominator= 3320 numerators:, 332, 1328, 2324, 4316, 5312, 6308, 7304, 8300 denominator= 3322 numerators:, 8305 denominator= 3324 numerators:, 8310 denominator= 3325 numerators:, 1330, 5320, 7315, 9310, 11305 denominator= 3326 numerators:, 8315 denominator= 3328 numerators:, 8320, 18304 denominator= 3332 numerators:, 8330, 18326, 28322, 38318, 48314, 58310, 68306, 78302 denominator= 3410 numerators:, 440, 1430, 2420, 4400 denominator= 3504 numerators:, 1533 denominator= 3520 numerators:, 550, 1540, 2530, 4510, 5500 denominator= 3536 numerators:, 1547, 5525, 7514, 9503 denominator= 3540 numerators:, 11505 denominator= 3544 numerators:, 7531, 11518, 15505 denominator= 3546 numerators:, 19503 denominator= 3548 numerators:, 11531, 19514 denominator= 3550 numerators:, 19525 denominator= 3554 numerators:, 19547, 51533, 83519, 115505 denominator= 3608 numerators:, 656, 1640, 2624 denominator= 3619 numerators:, 658, 1645, 2632, 4606 denominator= 3630 numerators:, 660, 1650, 2640, 4620, 5610, 6600 denominator= 3641 numerators:, 662, 1655, 2648, 4634, 5627, 6620, 7613, 8606 denominator= 3652 numerators:, 664, 1660, 2656, 4648, 5644, 6640, 7636, 8632, 9628, 10624, 11620, 12616, 13612, 15604, 16600 denominator= 3706 numerators:, 763, 1744, 2725 denominator= 3723 numerators:, 1752 denominator= 3740 numerators:, 770, 1760, 2750, 4730, 5720, 6710, 7700 denominator= 3757 numerators:, 1768, 5746, 7735, 9724, 11713, 13702 denominator= 3764 numerators:, 20702 denominator= 3766 numerators:, 20713 denominator= 3768 numerators:, 20724 denominator= 3770 numerators:, 20735 denominator= 3772 numerators:, 20746 denominator= 3776 numerators:, 20768, 54752, 88736, 122720, 156704 denominator= 3815 numerators:, 872, 1853, 2834 denominator= 3850 numerators:, 880, 1870, 2860, 4840, 5830, 6820, 7810, 8800 denominator= 3857 numerators:, 8816 denominator= 3860 numerators:, 10808 denominator= 3864 numerators:, 8832, 13800 denominator= 3865 numerators:, 10822 denominator= 3870 numerators:, 10836, 17802 denominator= 3871 numerators:, 8848, 13825, 18802 denominator= 3875 numerators:, 10850, 17825, 24800 denominator= 3878 numerators:, 8864, 13850, 18836, 23822, 28808 denominator= 3880 numerators:, 10864, 17848, 24832, 31816 denominator= 3900 numerators:, 975, 1950, 2925 denominator= 3902 numerators:, 1951 denominator= 3904 numerators:, 976, 1952, 2928 denominator= 3906 numerators:, 1953 denominator= 3908 numerators:, 977, 1954, 2931 denominator= 3910 numerators:, 1955 denominator= 3912 numerators:, 978, 1956, 2934 denominator= 3914 numerators:, 1957 denominator= 3916 numerators:, 979, 1958, 2937 denominator= 3918 numerators:, 1959 denominator= 3920 numerators:, 980, 1960, 2940, 4900 denominator= 3922 numerators:, 1961 denominator= 3924 numerators:, 981, 1962, 2943, 4905 denominator= 3926 numerators:, 1963 denominator= 3928 numerators:, 982, 1964, 2946, 4910 denominator= 3930 numerators:, 1965 denominator= 3932 numerators:, 983, 1966, 2949, 4915 denominator= 3934 numerators:, 1967, 5901 denominator= 3936 numerators:, 984, 1968, 2952, 4920, 5904 denominator= 3938 numerators:, 1969, 5907 denominator= 3940 numerators:, 985, 1970, 2955, 4925, 5910 denominator= 3942 numerators:, 1971, 5913 denominator= 3944 numerators:, 986, 1972, 2958, 4930, 5916, 6902 denominator= 3946 numerators:, 1973, 5919 denominator= 3948 numerators:, 987, 1974, 2961, 4935, 5922, 6909 denominator= 3950 numerators:, 1975, 5925 denominator= 3952 numerators:, 988, 1976, 2964, 4940, 5928, 6916 denominator= 3954 numerators:, 1977, 5931 denominator= 3956 numerators:, 989, 1978, 2967, 4945, 5934, 6923, 8901 denominator= 3958 numerators:, 1979, 5937 denominator= 3960 numerators:, 990, 1980, 2970, 4950, 5940, 6930, 8910, 9900 denominator= 3962 numerators:, 1981, 5943, 9905 denominator= 3964 numerators:, 991, 1982, 2973, 4955, 5946, 6937, 8919, 9910, 10901 denominator= 3966 numerators:, 1983, 5949, 9915 denominator= 3968 numerators:, 992, 1984, 2976, 4960, 5952, 6944, 8928, 9920, 10912 denominator= 3970 numerators:, 1985, 5955, 9925 denominator= 3972 numerators:, 993, 1986, 2979, 4965, 5958, 6951, 8937, 9930, 10923, 12909, 13902 denominator= 3974 numerators:, 1987, 5961, 9935, 13909 denominator= 3976 numerators:, 994, 1988, 2982, 4970, 5964, 6958, 8946, 9940, 10934, 12922, 13916, 14910 denominator= 3978 numerators:, 1989, 5967, 9945, 13923, 17901 denominator= 3980 numerators:, 995, 1990, 2985, 4975, 5970, 6965, 8955, 9950, 10945, 12935, 13930, 14925, 16915, 17910, 18905 denominator= 3982 numerators:, 1991, 5973, 9955, 13937, 17919, 21901 denominator= 3984 numerators:, 996, 1992, 2988, 4980, 5976, 6972, 8964, 9960, 10956, 12948, 13944, 14940, 16932, 17928, 18924, 20916, 21912, 22908, 24900 denominator= 3986 numerators:, 1993, 5979, 9965, 13951, 17937, 21923, 25909 denominator= 3988 numerators:, 997, 1994, 2991, 4985, 5982, 6979, 8973, 9970, 10967, 12961, 13958, 14955, 16949, 17946, 18943, 20937, 21934, 22931, 24925, 25922, 26919, 28913, 29910, 30907, 32901 denominator= 3990 numerators:, 1995, 5985, 9975, 13965, 17955, 21945, 25935, 29925, 33915, 37905 denominator= 3992 numerators:, 998, 1996, 2994, 4990, 5988, 6986, 8982, 9980, 10978, 12974, 13972, 14970, 16966, 17964, 18962, 20958, 21956, 22954, 24950, 25948, 26946, 28942, 29940, 30938, 32934, 33932, 34930, 36926, 37924, 38922, 40918, 41916, 42914, 44910, 45908, 46906, 48902, 49900 denominator= 3994 numerators:, 1997, 5991, 9985, 13979, 17973, 21967, 25961, 29955, 33949, 37943, 41937, 45931, 49925, 53919, 57913, 61907, 65901 denominator= 3998 numerators:, 1999, 5997, 9995, 13993, 17991, 21989, 25987, 29985, 33983, 37981, 41979, 45977, 49975, 53973, 57971, 61969, 65967, 69965, 73963, 77961, 81959, 85957, 89955, 93953, 97951, 101949, 105947, 109945, 113943, 117941, 121939, 125937, 129935, 133933, 137931, 141929, 145927, 149925, 153923, 157921, 161919, 165917, 169915, 173913, 177911, 181909, 185907, 189905, 193903, 197901 denominator= 4220 numerators:, 23210 denominator= 4222 numerators:, 23221, 61219, 99217, 137215, 175213, 213211, 251209, 289207, 327205, 365203, 403201 denominator= 4303 numerators:, 331, 1324, 2317, 3310 denominator= 4316 numerators:, 332, 1328, 2324, 3320, 5312, 6308, 7304, 8300 denominator= 4400 numerators:, 440, 1430, 2420, 3410 denominator= 4410 numerators:, 441 denominator= 4420 numerators:, 442, 2431, 6409 denominator= 4424 numerators:, 9401 denominator= 4430 numerators:, 443, 8417, 12404 denominator= 4432 numerators:, 9418, 14404 denominator= 4435 numerators:, 12418, 20401 denominator= 4436 numerators:, 14417 denominator= 4438 numerators:, 24409 denominator= 4442 numerators:, 24431, 64409 denominator= 4444 numerators:, 14443, 24442, 34441, 54439, 64438, 74437, 94435, 104434, 114433, 134431, 144430, 154429, 174427, 184426, 194425, 214423, 224422, 234421, 254419, 264418, 274417, 294415, 304414, 314413, 334411, 344410, 354409, 374407, 384406, 394405, 414403, 424402, 434401 denominator= 4510 numerators:, 550, 1540, 2530, 3520, 5500 denominator= 4606 numerators:, 658, 1645, 2632, 3619 denominator= 4613 numerators:, 659, 2636 denominator= 4620 numerators:, 660, 1650, 2640, 3630, 5610, 6600 denominator= 4627 numerators:, 661, 2644, 6610 denominator= 4634 numerators:, 662, 1655, 2648, 3641, 5627, 6620, 7613, 8606 denominator= 4640 numerators:, 11600 denominator= 4641 numerators:, 663, 2652, 6630, 8619, 10608 denominator= 4642 numerators:, 11605 denominator= 4644 numerators:, 11610 denominator= 4646 numerators:, 11615 denominator= 4648 numerators:, 664, 1660, 2656, 3652, 5644, 6640, 7636, 8632, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 4650 numerators:, 11625 denominator= 4652 numerators:, 11630 denominator= 4654 numerators:, 11635 denominator= 4655 numerators:, 665, 2660, 6650, 8645, 10640, 12635, 14630, 16625, 20615, 22610, 24605, 26600 denominator= 4656 numerators:, 11640, 25608 denominator= 4658 numerators:, 11645, 25619 denominator= 4660 numerators:, 11650, 25630, 39610 denominator= 4664 numerators:, 11660, 25652, 39644, 53636, 67628, 81620, 95612, 109604 denominator= 4666 numerators:, 11665, 25663, 39661, 53659, 67657, 81655, 95653, 109651, 123649, 137647, 151645, 165643, 179641, 193639, 207637, 221635, 235633, 249631, 263629, 277627, 291625, 305623, 319621, 333619, 347617, 361615, 375613, 389611, 403609, 417607, 431605, 445603, 459601 denominator= 4730 numerators:, 770, 1760, 2750, 3740, 5720, 6710, 7700 denominator= 4807 numerators:, 874 denominator= 4818 numerators:, 876, 2847 denominator= 4829 numerators:, 878 denominator= 4840 numerators:, 880, 1870, 2860, 3850, 5830, 6820, 7810, 8800 denominator= 4851 numerators:, 882, 8820 denominator= 4862 numerators:, 884, 2873, 6851, 8840, 10829, 12818, 14807 denominator= 4864 numerators:, 15808 denominator= 4868 numerators:, 15821 denominator= 4872 numerators:, 15834 denominator= 4873 numerators:, 886, 8860, 12847, 16834, 20821, 24808 denominator= 4874 numerators:, 26807 denominator= 4876 numerators:, 15847, 26818 denominator= 4878 numerators:, 26829 denominator= 4880 numerators:, 15860, 26840, 37820 denominator= 4882 numerators:, 26851 denominator= 4886 numerators:, 26873, 70847, 114821 denominator= 4888 numerators:, 15886, 26884, 37882, 59878, 70876, 81874, 103870, 114868, 125866, 147862, 158860, 169858, 191854, 202852, 213850, 235846, 246844, 257842, 279838, 290836, 301834, 323830, 334828, 345826, 367822, 378820, 389818, 411814, 422812, 433810, 455806, 466804, 477802 denominator= 4900 numerators:, 980, 1960, 2940, 3920 denominator= 4905 numerators:, 981, 1962, 2943, 3924 denominator= 4910 numerators:, 982, 1964, 2946, 3928 denominator= 4915 numerators:, 983, 1966, 2949, 3932 denominator= 4920 numerators:, 984, 1968, 2952, 3936, 5904 denominator= 4925 numerators:, 985, 1970, 2955, 3940, 5910 denominator= 4930 numerators:, 986, 1972, 2958, 3944, 5916, 6902 denominator= 4935 numerators:, 987, 1974, 2961, 3948, 5922, 6909 denominator= 4940 numerators:, 988, 1976, 2964, 3952, 5928, 6916, 7904 denominator= 4945 numerators:, 989, 1978, 2967, 3956, 5934, 6923, 7912, 8901 denominator= 4950 numerators:, 990, 1980, 2970, 3960, 5940, 6930, 7920, 8910 denominator= 4955 numerators:, 991, 1982, 2973, 3964, 5946, 6937, 7928, 8919, 10901 denominator= 4960 numerators:, 992, 1984, 2976, 3968, 5952, 6944, 7936, 8928, 10912, 11904 denominator= 4965 numerators:, 993, 1986, 2979, 3972, 5958, 6951, 7944, 8937, 10923, 11916, 12909, 13902 denominator= 4970 numerators:, 994, 1988, 2982, 3976, 5964, 6958, 7952, 8946, 10934, 11928, 12922, 13916, 15904 denominator= 4975 numerators:, 995, 1990, 2985, 3980, 5970, 6965, 7960, 8955, 10945, 11940, 12935, 13930, 15920, 16915, 17910, 18905 denominator= 4980 numerators:, 996, 1992, 2988, 3984, 5976, 6972, 7968, 8964, 10956, 11952, 12948, 13944, 15936, 16932, 17928, 18924, 20916, 21912, 22908, 23904 denominator= 4985 numerators:, 997, 1994, 2991, 3988, 5982, 6979, 7976, 8973, 10967, 11964, 12961, 13958, 15952, 16949, 17946, 18943, 20937, 21934, 22931, 23928, 25922, 26919, 27916, 28913, 30907, 31904, 32901 denominator= 4990 numerators:, 998, 1996, 2994, 3992, 5988, 6986, 7984, 8982, 10978, 11976, 12974, 13972, 15968, 16966, 17964, 18962, 20958, 21956, 22954, 23952, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 45908, 46906, 47904, 48902 denominator= 5110 numerators:, 28105 denominator= 5300 numerators:, 1325 denominator= 5304 numerators:, 1326, 3315 denominator= 5308 numerators:, 1327 denominator= 5312 numerators:, 332, 1328, 2324, 3320, 4316, 6308, 7304, 8300 denominator= 5316 numerators:, 1329, 9303 denominator= 5320 numerators:, 1330, 3325, 7315, 9310, 11305, 13300 denominator= 5322 numerators:, 13305 denominator= 5324 numerators:, 1331, 9317, 13310, 17303 denominator= 5326 numerators:, 13315 denominator= 5330 numerators:, 13325, 29315, 45305 denominator= 5332 numerators:, 1333, 9331, 13330, 17329, 25327, 29326, 33325, 41323, 45322, 49321, 57319, 61318, 65317, 73315, 77314, 81313, 89311, 93310, 97309, 105307, 109306, 113305, 121303, 125302, 129301 denominator= 5425 numerators:, 12400 denominator= 5432 numerators:, 12416, 19400 denominator= 5500 numerators:, 550, 1540, 2530, 3520, 4510 denominator= 5510 numerators:, 551 denominator= 5520 numerators:, 552 denominator= 5525 numerators:, 1547, 3536, 7514, 9503 denominator= 5530 numerators:, 553, 10507 denominator= 5540 numerators:, 554, 10526, 15512 denominator= 5545 numerators:, 15526, 25507 denominator= 5546 numerators:, 30503 denominator= 5548 numerators:, 30514 denominator= 5552 numerators:, 30536, 80504 denominator= 5554 numerators:, 30547, 80533, 130519, 180505 denominator= 5555 numerators:, 15554, 25553, 35552, 45551, 65549, 75548, 85547, 95546, 115544, 125543, 135542, 145541, 165539, 175538, 185537, 195536, 215534, 225533, 235532, 245531, 265529, 275528, 285527, 295526, 315524, 325523, 335522, 345521, 365519, 375518, 385517, 395516, 415514, 425513, 435512, 445511, 465509, 475508, 485507, 495506, 515504, 525503, 535502, 545501 denominator= 5610 numerators:, 660, 1650, 2640, 3630, 4620, 6600 denominator= 5627 numerators:, 662, 1655, 2648, 3641, 4634, 6620, 7613, 8606 denominator= 5644 numerators:, 664, 1660, 2656, 3652, 4648, 6640, 7636, 8632, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 5707 numerators:, 1756 denominator= 5720 numerators:, 770, 1760, 2750, 3740, 4730, 6710, 7700 denominator= 5733 numerators:, 1764, 9702 denominator= 5746 numerators:, 1768, 3757, 7735, 9724, 11713, 13702 denominator= 5756 numerators:, 18707 denominator= 5759 numerators:, 1772, 9746, 13733, 17720, 21707 denominator= 5760 numerators:, 18720 denominator= 5764 numerators:, 18733, 31702 denominator= 5766 numerators:, 31713 denominator= 5768 numerators:, 18746, 31724, 44702 denominator= 5770 numerators:, 31735 denominator= 5774 numerators:, 31757, 83723 denominator= 5776 numerators:, 18772, 31768, 44764, 70756, 83752, 96748, 122740, 135736, 148732, 174724, 187720, 200716, 226708, 239704, 252700 denominator= 5830 numerators:, 880, 1870, 2860, 3850, 4840, 6820, 7810, 8800 denominator= 5900 numerators:, 2950 denominator= 5901 numerators:, 1967, 3934 denominator= 5902 numerators:, 2951 denominator= 5904 numerators:, 984, 1968, 2952, 3936, 4920 denominator= 5906 numerators:, 2953 denominator= 5907 numerators:, 1969, 3938 denominator= 5908 numerators:, 2954 denominator= 5910 numerators:, 985, 1970, 2955, 3940, 4925 denominator= 5912 numerators:, 2956 denominator= 5913 numerators:, 1971, 3942 denominator= 5914 numerators:, 2957 denominator= 5916 numerators:, 986, 1972, 2958, 3944, 4930, 6902 denominator= 5918 numerators:, 2959 denominator= 5919 numerators:, 1973, 3946 denominator= 5920 numerators:, 2960 denominator= 5922 numerators:, 987, 1974, 2961, 3948, 4935, 6909 denominator= 5924 numerators:, 2962 denominator= 5925 numerators:, 1975, 3950, 7900 denominator= 5926 numerators:, 2963 denominator= 5928 numerators:, 988, 1976, 2964, 3952, 4940, 6916, 7904 denominator= 5930 numerators:, 2965 denominator= 5931 numerators:, 1977, 3954, 7908 denominator= 5932 numerators:, 2966 denominator= 5934 numerators:, 989, 1978, 2967, 3956, 4945, 6923, 7912, 8901 denominator= 5936 numerators:, 2968, 8904 denominator= 5937 numerators:, 1979, 3958, 7916 denominator= 5938 numerators:, 2969, 8907 denominator= 5940 numerators:, 990, 1980, 2970, 3960, 4950, 6930, 7920, 8910, 9900 denominator= 5942 numerators:, 2971, 8913 denominator= 5943 numerators:, 1981, 3962, 7924, 9905 denominator= 5944 numerators:, 2972, 8916 denominator= 5946 numerators:, 991, 1982, 2973, 3964, 4955, 6937, 7928, 8919, 9910, 10901 denominator= 5948 numerators:, 2974, 8922 denominator= 5949 numerators:, 1983, 3966, 7932, 9915 denominator= 5950 numerators:, 2975, 8925 denominator= 5952 numerators:, 992, 1984, 2976, 3968, 4960, 6944, 7936, 8928, 9920, 10912 denominator= 5954 numerators:, 2977, 8931 denominator= 5955 numerators:, 1985, 3970, 7940, 9925 denominator= 5956 numerators:, 2978, 8934 denominator= 5958 numerators:, 993, 1986, 2979, 3972, 4965, 6951, 7944, 8937, 9930, 10923, 12909, 13902 denominator= 5960 numerators:, 2980, 8940, 14900 denominator= 5961 numerators:, 1987, 3974, 7948, 9935, 13909 denominator= 5962 numerators:, 2981, 8943, 14905 denominator= 5964 numerators:, 994, 1988, 2982, 3976, 4970, 6958, 7952, 8946, 9940, 10934, 12922, 13916, 14910, 15904 denominator= 5966 numerators:, 2983, 8949, 14915 denominator= 5967 numerators:, 1989, 3978, 7956, 9945, 13923, 15912 denominator= 5968 numerators:, 2984, 8952, 14920 denominator= 5970 numerators:, 995, 1990, 2985, 3980, 4975, 6965, 7960, 8955, 9950, 10945, 12935, 13930, 14925, 15920, 16915, 18905, 19900 denominator= 5972 numerators:, 2986, 8958, 14930, 20902 denominator= 5973 numerators:, 1991, 3982, 7964, 9955, 13937, 15928, 19910, 21901 denominator= 5974 numerators:, 2987, 8961, 14935, 20909 denominator= 5976 numerators:, 996, 1992, 2988, 3984, 4980, 6972, 7968, 8964, 9960, 10956, 12948, 13944, 14940, 15936, 16932, 18924, 19920, 20916, 21912, 22908, 24900 denominator= 5978 numerators:, 2989, 8967, 14945, 20923, 26901 denominator= 5979 numerators:, 1993, 3986, 7972, 9965, 13951, 15944, 19930, 21923, 25909, 27902 denominator= 5980 numerators:, 2990, 8970, 14950, 20930, 26910 denominator= 5982 numerators:, 997, 1994, 2991, 3988, 4985, 6979, 7976, 8973, 9970, 10967, 12961, 13958, 14955, 15952, 16949, 18943, 19940, 20937, 21934, 22931, 24925, 25922, 26919, 27916, 28913, 30907, 31904, 32901 denominator= 5984 numerators:, 2992, 8976, 14960, 20944, 26928, 32912 denominator= 5985 numerators:, 1995, 3990, 7980, 9975, 13965, 15960, 19950, 21945, 25935, 27930, 31920, 33915, 37905, 39900 denominator= 5986 numerators:, 2993, 8979, 14965, 20951, 26937, 32923, 38909 denominator= 5988 numerators:, 998, 1996, 2994, 3992, 4990, 6986, 7984, 8982, 9980, 10978, 12974, 13972, 14970, 15968, 16966, 18962, 19960, 20958, 21956, 22954, 24950, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 34930, 36926, 37924, 38922, 39920, 40918, 42914, 43912, 44910, 45908, 46906, 48902, 49900 denominator= 5990 numerators:, 2995, 8985, 14975, 20965, 26955, 32945, 38935, 44925, 50915, 56905 denominator= 5991 numerators:, 1997, 3994, 7988, 9985, 13979, 15976, 19970, 21967, 25961, 27958, 31952, 33949, 37943, 39940, 43934, 45931, 49925, 51922, 55916, 57913, 61907, 63904 denominator= 5992 numerators:, 2996, 8988, 14980, 20972, 26964, 32956, 38948, 44940, 50932, 56924, 62916, 68908, 74900 denominator= 5996 numerators:, 2998, 8994, 14990, 20986, 26982, 32978, 38974, 44970, 50966, 56962, 62958, 68954, 74950, 80946, 86942, 92938, 98934, 104930, 110926, 116922, 122918, 128914, 134910, 140906, 146902 denominator= 5997 numerators:, 1999, 3998, 7996, 9995, 13993, 15992, 19990, 21989, 25987, 27986, 31984, 33983, 37981, 39980, 43978, 45977, 49975, 51974, 55972, 57971, 61969, 63968, 67966, 69965, 73963, 75962, 79960, 81959, 85957, 87956, 91954, 93953, 97951, 99950, 103948, 105947, 109945, 111944, 115942, 117941, 121939, 123938, 127936, 129935, 133933, 135932, 139930, 141929, 145927, 147926, 151924, 153923, 157921, 159920, 163918, 165917, 169915, 171914, 175912, 177911, 181909, 183908, 187906, 189905, 193903, 195902, 199900 denominator= 5998 numerators:, 2999, 8997, 14995, 20993, 26991, 32989, 38987, 44985, 50983, 56981, 62979, 68977, 74975, 80973, 86971, 92969, 98967, 104965, 110963, 116961, 122959, 128957, 134955, 140953, 146951, 152949, 158947, 164945, 170943, 176941, 182939, 188937, 194935, 200933, 206931, 212929, 218927, 224925, 230923, 236921, 242919, 248917, 254915, 260913, 266911, 272909, 278907, 284905, 290903, 296901 denominator= 6110 numerators:, 17108, 28106, 39104, 50102 denominator= 6202 numerators:, 2215 denominator= 6220 numerators:, 20215, 34210, 48205 denominator= 6222 numerators:, 34221, 90219, 146217, 202215, 258213, 314211, 370209, 426207, 482205, 538203, 594201 denominator= 6308 numerators:, 332, 1328, 2324, 3320, 4316, 5312, 7304, 8300 denominator= 6409 numerators:, 442, 2431, 4420 denominator= 6440 numerators:, 35420 denominator= 6442 numerators:, 35431, 93409 denominator= 6444 numerators:, 35442, 93438, 151434, 209430, 267426, 325422, 383418, 441414, 499410, 557406, 615402 denominator= 6600 numerators:, 660, 1650, 2640, 3630, 4620, 5610 denominator= 6604 numerators:, 1651 denominator= 6605 numerators:, 2642 denominator= 6608 numerators:, 1652 denominator= 6610 numerators:, 661, 2644, 4627 denominator= 6612 numerators:, 1653 denominator= 6615 numerators:, 2646 denominator= 6616 numerators:, 1654 denominator= 6620 numerators:, 662, 1655, 2648, 3641, 4634, 5627, 7613, 8606 denominator= 6624 numerators:, 1656 denominator= 6625 numerators:, 2650, 10600 denominator= 6628 numerators:, 1657 denominator= 6630 numerators:, 663, 2652, 4641, 8619, 10608 denominator= 6632 numerators:, 1658, 11606 denominator= 6635 numerators:, 2654, 10616 denominator= 6636 numerators:, 1659, 11613 denominator= 6640 numerators:, 664, 1660, 2656, 3652, 4648, 5644, 7636, 8632, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 6642 numerators:, 16605 denominator= 6644 numerators:, 1661, 11627, 16610 denominator= 6645 numerators:, 2658, 10632, 14619, 18606 denominator= 6646 numerators:, 16615 denominator= 6648 numerators:, 1662, 11634, 16620, 21606 denominator= 6650 numerators:, 665, 2660, 4655, 8645, 10640, 12635, 14630, 16625, 18620, 20615, 22610, 24605 denominator= 6652 numerators:, 1663, 11641, 16630, 21619 denominator= 6654 numerators:, 16635 denominator= 6655 numerators:, 2662, 10648, 14641, 18634, 22627, 30613, 34606 denominator= 6656 numerators:, 1664, 11648, 16640, 21632, 31616, 36608, 41600 denominator= 6658 numerators:, 16645, 36619 denominator= 6662 numerators:, 16655, 36641, 56627, 76613 denominator= 6664 numerators:, 1666, 11662, 16660, 21658, 31654, 36652, 41650, 51646, 56644, 61642, 71638, 76636, 81634, 91630, 96628, 101626, 111622, 116620, 121618, 131614, 136612, 141610, 151606, 156604, 161602 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661, 30659, 34658, 38657, 42656, 50654, 54653, 58652, 62651, 70649, 74648, 78647, 82646, 90644, 94643, 98642, 102641, 110639, 114638, 118637, 122636, 130634, 134633, 138632, 142631, 150629, 154628, 158627, 162626, 170624, 174623, 178622, 182621, 190619, 194618, 198617, 202616, 210614, 214613, 218612, 222611, 230609, 234608, 238607, 242606, 250604, 254603, 258602, 262601 denominator= 6666 numerators:, 16665, 36663, 56661, 76659, 96657, 116655, 136653, 156651, 176649, 196647, 216645, 236643, 256641, 276639, 296637, 316635, 336633, 356631, 376629, 396627, 416625, 436623, 456621, 476619, 496617, 516615, 536613, 556611, 576609, 596607, 616605, 636603, 656601 denominator= 6710 numerators:, 770, 1760, 2750, 3740, 4730, 5720, 7700 denominator= 6820 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 7810, 8800 denominator= 6851 numerators:, 884, 2873, 4862, 8840, 10829, 12818, 14807 denominator= 6874 numerators:, 37807 denominator= 6876 numerators:, 37818 denominator= 6878 numerators:, 37829 denominator= 6880 numerators:, 37840 denominator= 6884 numerators:, 37862, 99818 denominator= 6886 numerators:, 37873, 99847, 161821 denominator= 6888 numerators:, 37884, 99876, 161868, 223860, 285852, 347844, 409836, 471828, 533820, 595812, 657804 denominator= 6902 numerators:, 986, 1972, 2958, 3944, 4930, 5916 denominator= 6909 numerators:, 987, 1974, 2961, 3948, 4935, 5922 denominator= 6916 numerators:, 988, 1976, 2964, 3952, 4940, 5928, 7904 denominator= 6923 numerators:, 989, 1978, 2967, 3956, 4945, 5934, 7912, 8901 denominator= 6930 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 7920, 8910, 9900 denominator= 6937 numerators:, 991, 1982, 2973, 3964, 4955, 5946, 7928, 8919, 9910, 10901 denominator= 6944 numerators:, 992, 1984, 2976, 3968, 4960, 5952, 7936, 8928, 9920, 10912, 11904 denominator= 6951 numerators:, 993, 1986, 2979, 3972, 4965, 5958, 7944, 8937, 9930, 10923, 11916, 12909 denominator= 6958 numerators:, 994, 1988, 2982, 3976, 4970, 5964, 7952, 8946, 9940, 10934, 11928, 12922, 14910, 15904 denominator= 6965 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 7960, 8955, 9950, 10945, 11940, 12935, 14925, 15920, 16915, 17910, 18905, 19900 denominator= 6972 numerators:, 996, 1992, 2988, 3984, 4980, 5976, 7968, 8964, 9960, 10956, 11952, 12948, 14940, 15936, 16932, 17928, 18924, 19920, 21912, 22908, 23904, 24900 denominator= 6979 numerators:, 997, 1994, 2991, 3988, 4985, 5982, 7976, 8973, 9970, 10967, 11964, 12961, 14955, 15952, 16949, 17946, 18943, 19940, 21934, 22931, 23928, 24925, 25922, 26919, 28913, 29910, 30907, 31904, 32901 denominator= 6986 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 7984, 8982, 9980, 10978, 11976, 12974, 14970, 15968, 16966, 17964, 18962, 19960, 21956, 22954, 23952, 24950, 25948, 26946, 28942, 29940, 30938, 31936, 32934, 33932, 35928, 36926, 37924, 38922, 39920, 40918, 42914, 43912, 44910, 45908, 46906, 47904, 49900 denominator= 7108 numerators:, 23101 denominator= 7110 numerators:, 39105 denominator= 7202 numerators:, 2216 denominator= 7220 numerators:, 20216, 33212, 46208, 59204 denominator= 7304 numerators:, 332, 1328, 2324, 3320, 4316, 5312, 6308, 8300 denominator= 7315 numerators:, 1330, 3325, 5320, 9310, 11305, 13300 denominator= 7320 numerators:, 18300 denominator= 7322 numerators:, 18305 denominator= 7324 numerators:, 18310 denominator= 7328 numerators:, 18320, 40304 denominator= 7330 numerators:, 18325, 40315, 62305 denominator= 7332 numerators:, 18330, 40326, 62322, 84318, 106314, 128310, 150306, 172302 denominator= 7514 numerators:, 1547, 3536, 5525, 9503 denominator= 7531 numerators:, 3544, 11518, 15505 denominator= 7540 numerators:, 24505 denominator= 7544 numerators:, 24518 denominator= 7546 numerators:, 41503 denominator= 7550 numerators:, 41525 denominator= 7552 numerators:, 24544, 41536, 58528, 92512, 109504 denominator= 7554 numerators:, 41547, 109533, 177519, 245505 denominator= 7613 numerators:, 662, 1655, 2648, 3641, 4634, 5627, 6620, 8606 denominator= 7636 numerators:, 664, 1660, 2656, 3652, 4648, 5644, 6640, 8632, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 7700 numerators:, 770, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 7710 numerators:, 771 denominator= 7714 numerators:, 2755 denominator= 7720 numerators:, 772 denominator= 7728 numerators:, 2760 denominator= 7730 numerators:, 773 denominator= 7735 numerators:, 1768, 3757, 5746, 9724, 11713, 13702 denominator= 7740 numerators:, 774, 14706 denominator= 7742 numerators:, 2765, 12719 denominator= 7749 numerators:, 17712 denominator= 7750 numerators:, 775, 14725, 21700 denominator= 7755 numerators:, 21714 denominator= 7756 numerators:, 2770, 12742, 17728, 22714, 27700 denominator= 7760 numerators:, 776, 14744, 21728, 28712 denominator= 7763 numerators:, 17744, 27725, 37706 denominator= 7764 numerators:, 42702 denominator= 7765 numerators:, 21742, 35719 denominator= 7766 numerators:, 42713 denominator= 7768 numerators:, 42724 denominator= 7772 numerators:, 42746 denominator= 7774 numerators:, 42757, 112723 denominator= 7775 numerators:, 21770, 35765, 49760, 63755, 91745, 105740, 119735, 133730, 161720, 175715, 189710, 203705 denominator= 7776 numerators:, 42768, 112752, 182736, 252720, 322704 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771, 87769, 97768, 107767, 117766, 127765, 137764, 157762, 167761, 177760, 187759, 197758, 207757, 227755, 237754, 247753, 257752, 267751, 277750, 297748, 307747, 317746, 327745, 337744, 347743, 367741, 377740, 387739, 397738, 407737, 417736, 437734, 447733, 457732, 467731, 477730, 487729, 507727, 517726, 527725, 537724, 547723, 557722, 577720, 587719, 597718, 607717, 617716, 627715, 647713, 657712, 667711, 677710, 687709, 697708, 717706, 727705, 737704, 747703, 757702, 767701 denominator= 7810 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 6820, 8800 denominator= 7900 numerators:, 1975, 3950, 5925 denominator= 7902 numerators:, 3951 denominator= 7904 numerators:, 988, 1976, 2964, 3952, 4940, 5928, 6916 denominator= 7906 numerators:, 3953 denominator= 7908 numerators:, 1977, 3954, 5931 denominator= 7910 numerators:, 3955 denominator= 7912 numerators:, 989, 1978, 2967, 3956, 4945, 5934, 6923, 8901 denominator= 7914 numerators:, 3957 denominator= 7916 numerators:, 1979, 3958, 5937 denominator= 7918 numerators:, 3959 denominator= 7920 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 8910, 9900 denominator= 7922 numerators:, 3961 denominator= 7924 numerators:, 1981, 3962, 5943, 9905 denominator= 7926 numerators:, 3963 denominator= 7928 numerators:, 991, 1982, 2973, 3964, 4955, 5946, 6937, 8919, 9910, 10901 denominator= 7930 numerators:, 3965 denominator= 7932 numerators:, 1983, 3966, 5949, 9915 denominator= 7934 numerators:, 3967, 11901 denominator= 7936 numerators:, 992, 1984, 2976, 3968, 4960, 5952, 6944, 8928, 9920, 10912, 11904 denominator= 7938 numerators:, 3969, 11907 denominator= 7940 numerators:, 1985, 3970, 5955, 9925, 11910 denominator= 7942 numerators:, 3971, 11913 denominator= 7944 numerators:, 993, 1986, 2979, 3972, 4965, 5958, 6951, 8937, 9930, 10923, 11916, 12909, 13902 denominator= 7946 numerators:, 3973, 11919 denominator= 7948 numerators:, 1987, 3974, 5961, 9935, 11922, 13909 denominator= 7950 numerators:, 3975, 11925 denominator= 7952 numerators:, 994, 1988, 2982, 3976, 4970, 5964, 6958, 8946, 9940, 10934, 11928, 12922, 13916, 14910 denominator= 7954 numerators:, 3977, 11931 denominator= 7956 numerators:, 1989, 3978, 5967, 9945, 11934, 13923, 17901 denominator= 7958 numerators:, 3979, 11937 denominator= 7960 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 8955, 9950, 10945, 11940, 12935, 13930, 14925, 16915, 17910, 18905, 19900 denominator= 7962 numerators:, 3981, 11943, 19905 denominator= 7964 numerators:, 1991, 3982, 5973, 9955, 11946, 13937, 17919, 19910, 21901 denominator= 7966 numerators:, 3983, 11949, 19915 denominator= 7968 numerators:, 996, 1992, 2988, 3984, 4980, 5976, 6972, 8964, 9960, 10956, 11952, 12948, 13944, 14940, 16932, 17928, 18924, 19920, 20916, 21912, 22908, 24900 denominator= 7970 numerators:, 3985, 11955, 19925 denominator= 7972 numerators:, 1993, 3986, 5979, 9965, 11958, 13951, 17937, 19930, 21923, 25909, 27902 denominator= 7974 numerators:, 3987, 11961, 19935, 27909 denominator= 7976 numerators:, 997, 1994, 2991, 3988, 4985, 5982, 6979, 8973, 9970, 10967, 11964, 12961, 13958, 14955, 16949, 17946, 18943, 19940, 20937, 21934, 22931, 24925, 25922, 26919, 27916, 28913, 29910, 30907, 32901 denominator= 7978 numerators:, 3989, 11967, 19945, 27923, 35901 denominator= 7980 numerators:, 1995, 3990, 5985, 9975, 11970, 13965, 17955, 19950, 21945, 25935, 27930, 29925, 33915, 35910, 37905 denominator= 7982 numerators:, 3991, 11973, 19955, 27937, 35919, 43901 denominator= 7984 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 6986, 8982, 9980, 10978, 11976, 12974, 13972, 14970, 16966, 17964, 18962, 19960, 20958, 21956, 22954, 24950, 25948, 26946, 27944, 28942, 29940, 30938, 32934, 33932, 34930, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 44910, 45908, 46906, 48902, 49900 denominator= 7986 numerators:, 3993, 11979, 19965, 27951, 35937, 43923, 51909 denominator= 7988 numerators:, 1997, 3994, 5991, 9985, 11982, 13979, 17973, 19970, 21967, 25961, 27958, 29955, 33949, 35946, 37943, 41937, 43934, 45931, 49925, 51922, 53919, 57913, 59910, 61907, 65901 denominator= 7990 numerators:, 3995, 11985, 19975, 27965, 35955, 43945, 51935, 59925, 67915, 75905 denominator= 7994 numerators:, 3997, 11991, 19985, 27979, 35973, 43967, 51961, 59955, 67949, 75943, 83937, 91931, 99925, 107919, 115913, 123907, 131901 denominator= 7996 numerators:, 1999, 3998, 5997, 9995, 11994, 13993, 17991, 19990, 21989, 25987, 27986, 29985, 33983, 35982, 37981, 41979, 43978, 45977, 49975, 51974, 53973, 57971, 59970, 61969, 65967, 67966, 69965, 73963, 75962, 77961, 81959, 83958, 85957, 89955, 91954, 93953, 97951, 99950, 101949, 105947, 107946, 109945, 113943, 115942, 117941, 121939, 123938, 125937, 129935, 131934, 133933, 137931, 139930, 141929, 145927, 147926, 149925, 153923, 155922, 157921, 161919, 163918, 165917, 169915, 171914, 173913, 177911, 179910, 181909, 185907, 187906, 189905, 193903, 195902, 197901 denominator= 7998 numerators:, 3999, 11997, 19995, 27993, 35991, 43989, 51987, 59985, 67983, 75981, 83979, 91977, 99975, 107973, 115971, 123969, 131967, 139965, 147963, 155961, 163959, 171957, 179955, 187953, 195951, 203949, 211947, 219945, 227943, 235941, 243939, 251937, 259935, 267933, 275931, 283929, 291927, 299925, 307923, 315921, 323919, 331917, 339915, 347913, 355911, 363909, 371907, 379905, 387903, 395901 denominator= 8220 numerators:, 45210 denominator= 8222 numerators:, 45221, 119219, 193217, 267215, 341213, 415211, 489209, 563207, 637205, 711203, 785201 denominator= 8300 numerators:, 332, 1328, 2324, 3320, 4316, 5312, 6308, 7304 denominator= 8305 numerators:, 3322 denominator= 8310 numerators:, 3324 denominator= 8315 numerators:, 3326, 13304 denominator= 8320 numerators:, 3328, 13312, 18304 denominator= 8330 numerators:, 3332, 13328, 18326, 23324, 28322, 38318, 43316, 48314, 53312, 63308, 68306, 73304, 78302 denominator= 8417 numerators:, 443, 4430, 12404 denominator= 8432 numerators:, 27404 denominator= 8438 numerators:, 46409 denominator= 8440 numerators:, 27430, 46420, 65410 denominator= 8442 numerators:, 46431, 122409 denominator= 8444 numerators:, 27443, 46442, 65441, 103439, 122438, 141437, 179435, 198434, 217433, 255431, 274430, 293429, 331427, 350426, 369425, 407423, 426422, 445421, 483419, 502418, 521417, 559415, 578414, 597413, 635411, 654410, 673409, 711407, 730406, 749405, 787403, 806402, 825401 denominator= 8503 numerators:, 1546 denominator= 8514 numerators:, 1548 denominator= 8525 numerators:, 1550, 15500 denominator= 8533 numerators:, 19504 denominator= 8536 numerators:, 1552, 15520, 22504 denominator= 8540 numerators:, 19520, 30500 denominator= 8554 numerators:, 19552, 30550, 41548, 52546, 63544, 74542, 96538, 107536, 118534, 129532, 140530, 151528, 173524, 184522, 195520, 206518, 217516, 228514, 250510, 261508, 272506, 283504, 294502, 305500 denominator= 8606 numerators:, 662, 1655, 2648, 3641, 4634, 5627, 6620, 7613 denominator= 8619 numerators:, 663, 2652, 4641, 6630, 10608 denominator= 8632 numerators:, 664, 1660, 2656, 3652, 4648, 5644, 6640, 7636, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 8640 numerators:, 21600 denominator= 8642 numerators:, 21605 denominator= 8644 numerators:, 21610 denominator= 8645 numerators:, 665, 2660, 4655, 6650, 10640, 12635, 14630, 16625, 18620, 20615, 22610, 24605, 26600 denominator= 8646 numerators:, 21615 denominator= 8648 numerators:, 21620 denominator= 8650 numerators:, 21625 denominator= 8652 numerators:, 21630 denominator= 8654 numerators:, 21635 denominator= 8656 numerators:, 21640, 47608 denominator= 8660 numerators:, 21650, 47630, 73610 denominator= 8662 numerators:, 21655, 47641, 73627, 99613 denominator= 8664 numerators:, 21660, 47652, 73644, 99636, 125628, 151620, 177612, 203604 denominator= 8666 numerators:, 21665, 47663, 73661, 99659, 125657, 151655, 177653, 203651, 229649, 255647, 281645, 307643, 333641, 359639, 385637, 411635, 437633, 463631, 489629, 515627, 541625, 567623, 593621, 619619, 645617, 671615, 697613, 723611, 749609, 775607, 801605, 827603, 853601 denominator= 8800 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 8810 numerators:, 881 denominator= 8816 numerators:, 3857 denominator= 8820 numerators:, 882, 4851 denominator= 8830 numerators:, 883 denominator= 8832 numerators:, 3864, 13800 denominator= 8840 numerators:, 884, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 8848 numerators:, 3871, 13825, 18802 denominator= 8850 numerators:, 885, 16815 denominator= 8856 numerators:, 18819 denominator= 8860 numerators:, 886, 4873, 12847, 16834, 20821, 24808 denominator= 8864 numerators:, 3878, 13850, 18836, 23822, 28808 denominator= 8865 numerators:, 24822 denominator= 8868 numerators:, 28821 denominator= 8870 numerators:, 887, 16853, 24836, 32819, 40802 denominator= 8872 numerators:, 18853, 28834, 38815 denominator= 8874 numerators:, 48807 denominator= 8875 numerators:, 24850, 40825, 56800 denominator= 8876 numerators:, 28847, 48818 denominator= 8878 numerators:, 48829 denominator= 8882 numerators:, 48851 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807 denominator= 8885 numerators:, 24878, 40871, 56864, 72857, 104843, 120836, 136829, 152822, 184808, 200801 denominator= 8886 numerators:, 48873, 128847, 208821 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881, 98879, 108878, 118877, 128876, 138875, 148874, 158873, 178871, 188870, 198869, 208868, 218867, 228866, 238865, 258863, 268862, 278861, 288860, 298859, 308858, 318857, 338855, 348854, 358853, 368852, 378851, 388850, 398849, 418847, 428846, 438845, 448844, 458843, 468842, 478841, 498839, 508838, 518837, 528836, 538835, 548834, 558833, 578831, 588830, 598829, 608828, 618827, 628826, 638825, 658823, 668822, 678821, 688820, 698819, 708818, 718817, 738815, 748814, 758813, 768812, 778811, 788810, 798809, 818807, 828806, 838805, 848804, 858803, 868802, 878801 denominator= 8901 numerators:, 989, 1978, 2967, 3956, 4945, 5934, 6923, 7912 denominator= 8904 numerators:, 2968, 5936 denominator= 8907 numerators:, 2969, 5938 denominator= 8910 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 9900 denominator= 8913 numerators:, 2971, 5942 denominator= 8916 numerators:, 2972, 5944 denominator= 8919 numerators:, 991, 1982, 2973, 3964, 4955, 5946, 6937, 7928, 9910, 10901 denominator= 8922 numerators:, 2974, 5948 denominator= 8925 numerators:, 2975, 5950, 11900 denominator= 8928 numerators:, 992, 1984, 2976, 3968, 4960, 5952, 6944, 7936, 9920, 10912, 11904 denominator= 8931 numerators:, 2977, 5954, 11908 denominator= 8934 numerators:, 2978, 5956, 11912 denominator= 8937 numerators:, 993, 1986, 2979, 3972, 4965, 5958, 6951, 7944, 9930, 10923, 11916, 12909, 13902 denominator= 8940 numerators:, 2980, 5960, 11920, 14900 denominator= 8943 numerators:, 2981, 5962, 11924, 14905 denominator= 8946 numerators:, 994, 1988, 2982, 3976, 4970, 5964, 6958, 7952, 9940, 10934, 11928, 12922, 13916, 14910, 15904 denominator= 8949 numerators:, 2983, 5966, 11932, 14915 denominator= 8952 numerators:, 2984, 5968, 11936, 14920 denominator= 8955 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 7960, 9950, 10945, 11940, 12935, 13930, 14925, 15920, 16915, 18905, 19900 denominator= 8958 numerators:, 2986, 5972, 11944, 14930, 20902 denominator= 8961 numerators:, 2987, 5974, 11948, 14935, 20909 denominator= 8964 numerators:, 996, 1992, 2988, 3984, 4980, 5976, 6972, 7968, 9960, 10956, 11952, 12948, 13944, 14940, 15936, 16932, 18924, 19920, 20916, 21912, 22908, 23904, 24900 denominator= 8967 numerators:, 2989, 5978, 11956, 14945, 20923, 23912 denominator= 8970 numerators:, 2990, 5980, 11960, 14950, 20930, 23920, 29900 denominator= 8973 numerators:, 997, 1994, 2991, 3988, 4985, 5982, 6979, 7976, 9970, 10967, 11964, 12961, 13958, 14955, 15952, 16949, 18943, 19940, 20937, 21934, 22931, 23928, 24925, 25922, 27916, 28913, 29910, 30907, 31904, 32901 denominator= 8976 numerators:, 2992, 5984, 11968, 14960, 20944, 23936, 29920, 32912 denominator= 8979 numerators:, 2993, 5986, 11972, 14965, 20951, 23944, 29930, 32923, 38909, 41902 denominator= 8982 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 6986, 7984, 9980, 10978, 11976, 12974, 13972, 14970, 15968, 16966, 18962, 19960, 20958, 21956, 22954, 23952, 24950, 25948, 27944, 28942, 29940, 30938, 31936, 32934, 33932, 34930, 36926, 37924, 38922, 39920, 40918, 41916, 42914, 43912, 45908, 46906, 47904, 48902, 49900 denominator= 8985 numerators:, 2995, 5990, 11980, 14975, 20965, 23960, 29950, 32945, 38935, 41930, 47920, 50915, 56905, 59900 denominator= 8988 numerators:, 2996, 5992, 11984, 14980, 20972, 23968, 29960, 32956, 38948, 41944, 47936, 50932, 56924, 59920, 65912, 68908, 74900 denominator= 8994 numerators:, 2998, 5996, 11992, 14990, 20986, 23984, 29980, 32978, 38974, 41972, 47968, 50966, 56962, 59960, 65956, 68954, 74950, 77948, 83944, 86942, 92938, 95936, 101932, 104930, 110926, 113924, 119920, 122918, 128914, 131912, 137908, 140906, 146902, 149900 denominator= 8997 numerators:, 2999, 5998, 11996, 14995, 20993, 23992, 29990, 32989, 38987, 41986, 47984, 50983, 56981, 59980, 65978, 68977, 74975, 77974, 83972, 86971, 92969, 95968, 101966, 104965, 110963, 113962, 119960, 122959, 128957, 131956, 137954, 140953, 146951, 149950, 155948, 158947, 164945, 167944, 173942, 176941, 182939, 185938, 191936, 194935, 200933, 203932, 209930, 212929, 218927, 221926, 227924, 230923, 236921, 239920, 245918, 248917, 254915, 257914, 263912, 266911, 272909, 275908, 281906, 284905, 290903, 293902, 299900 denominator= 9110 numerators:, 50105 denominator= 9300 numerators:, 2325 denominator= 9303 numerators:, 1329, 5316 denominator= 9304 numerators:, 2326 denominator= 9308 numerators:, 2327 denominator= 9310 numerators:, 1330, 3325, 5320, 7315, 11305, 13300 denominator= 9312 numerators:, 2328 denominator= 9316 numerators:, 2329, 16303 denominator= 9317 numerators:, 1331, 5324, 13310, 17303 denominator= 9320 numerators:, 2330, 16310, 23300 denominator= 9322 numerators:, 23305 denominator= 9326 numerators:, 23315 denominator= 9328 numerators:, 2332, 16324, 23320, 30316, 44308, 51304, 58300 denominator= 9330 numerators:, 23325, 51315, 79305 denominator= 9331 numerators:, 1333, 5332, 13330, 17329, 21328, 25327, 29326, 33325, 41323, 45322, 49321, 53320, 57319, 61318, 69316, 73315, 77314, 81313, 85312, 89311, 97309, 101308, 105307, 109306, 113305, 117304, 125302, 129301, 133300 denominator= 9332 numerators:, 2333, 16331, 23330, 30329, 44327, 51326, 58325, 72323, 79322, 86321, 100319, 107318, 114317, 128315, 135314, 142313, 156311, 163310, 170309, 184307, 191306, 198305, 212303, 219302, 226301 denominator= 9401 numerators:, 4424 denominator= 9418 numerators:, 4432, 14404 denominator= 9430 numerators:, 26404 denominator= 9440 numerators:, 26432, 43424, 60416, 77408 denominator= 9503 numerators:, 1547, 3536, 5525, 7514 denominator= 9548 numerators:, 52514 denominator= 9550 numerators:, 52525 denominator= 9552 numerators:, 52536, 138504 denominator= 9554 numerators:, 52547, 138533, 224519, 310505 denominator= 9628 numerators:, 664, 1660, 2656, 3652, 4648, 5644, 6640, 7636, 8632, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 9702 numerators:, 1764, 5733 denominator= 9713 numerators:, 1766 denominator= 9724 numerators:, 1768, 3757, 5746, 7735, 11713, 13702 denominator= 9735 numerators:, 1770, 17700 denominator= 9744 numerators:, 20706 denominator= 9746 numerators:, 1772, 5759, 13733, 17720, 21707 denominator= 9752 numerators:, 20723 denominator= 9756 numerators:, 31707 denominator= 9757 numerators:, 1774, 17740, 25723, 33706 denominator= 9760 numerators:, 20740, 31720, 42700 denominator= 9764 numerators:, 31733, 53702 denominator= 9766 numerators:, 53713 denominator= 9770 numerators:, 53735 denominator= 9772 numerators:, 31759, 53746, 75733, 119707 denominator= 9774 numerators:, 53757, 141723 denominator= 9776 numerators:, 20774, 31772, 42770, 53768, 64766, 75764, 86762, 108758, 119756, 130754, 141752, 152750, 163748, 174746, 196742, 207740, 218738, 229736, 240734, 251732, 262730, 284726, 295724, 306722, 317720, 328718, 339716, 350714, 372710, 383708, 394706, 405704, 416702, 427700 denominator= 9900 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 8910 denominator= 9902 numerators:, 4951 denominator= 9904 numerators:, 4952 denominator= 9905 numerators:, 1981, 3962, 5943, 7924 denominator= 9906 numerators:, 4953 denominator= 9908 numerators:, 4954 denominator= 9910 numerators:, 991, 1982, 2973, 3964, 4955, 5946, 6937, 7928, 8919, 10901 denominator= 9912 numerators:, 4956 denominator= 9914 numerators:, 4957 denominator= 9915 numerators:, 1983, 3966, 5949, 7932 denominator= 9916 numerators:, 4958 denominator= 9918 numerators:, 4959 denominator= 9920 numerators:, 992, 1984, 2976, 3968, 4960, 5952, 6944, 7936, 8928, 10912, 11904 denominator= 9922 numerators:, 4961 denominator= 9924 numerators:, 4962 denominator= 9925 numerators:, 1985, 3970, 5955, 7940, 11910 denominator= 9926 numerators:, 4963 denominator= 9928 numerators:, 4964 denominator= 9930 numerators:, 993, 1986, 2979, 3972, 4965, 5958, 6951, 7944, 8937, 10923, 11916, 12909, 13902 denominator= 9932 numerators:, 4966 denominator= 9934 numerators:, 4967, 14901 denominator= 9935 numerators:, 1987, 3974, 5961, 7948, 11922, 13909 denominator= 9936 numerators:, 4968, 14904 denominator= 9938 numerators:, 4969, 14907 denominator= 9940 numerators:, 994, 1988, 2982, 3976, 4970, 5964, 6958, 7952, 8946, 10934, 11928, 12922, 13916, 14910, 15904 denominator= 9942 numerators:, 4971, 14913 denominator= 9944 numerators:, 4972, 14916 denominator= 9945 numerators:, 1989, 3978, 5967, 7956, 11934, 13923, 15912, 17901 denominator= 9946 numerators:, 4973, 14919 denominator= 9948 numerators:, 4974, 14922 denominator= 9950 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 7960, 8955, 10945, 11940, 12935, 13930, 14925, 15920, 16915, 17910, 18905 denominator= 9952 numerators:, 4976, 14928 denominator= 9954 numerators:, 4977, 14931 denominator= 9955 numerators:, 1991, 3982, 5973, 7964, 11946, 13937, 15928, 17919, 21901 denominator= 9956 numerators:, 4978, 14934 denominator= 9958 numerators:, 4979, 14937 denominator= 9960 numerators:, 996, 1992, 2988, 3984, 4980, 5976, 6972, 7968, 8964, 10956, 11952, 12948, 13944, 14940, 15936, 16932, 17928, 18924, 20916, 21912, 22908, 23904, 24900 denominator= 9962 numerators:, 4981, 14943, 24905 denominator= 9964 numerators:, 4982, 14946, 24910 denominator= 9965 numerators:, 1993, 3986, 5979, 7972, 11958, 13951, 15944, 17937, 21923, 23916, 25909, 27902 denominator= 9966 numerators:, 4983, 14949, 24915 denominator= 9968 numerators:, 4984, 14952, 24920 denominator= 9970 numerators:, 997, 1994, 2991, 3988, 4985, 5982, 6979, 7976, 8973, 10967, 11964, 12961, 13958, 14955, 15952, 16949, 17946, 18943, 20937, 21934, 22931, 23928, 24925, 25922, 26919, 27916, 28913, 30907, 31904, 32901 denominator= 9972 numerators:, 4986, 14958, 24930, 34902 denominator= 9974 numerators:, 4987, 14961, 24935, 34909 denominator= 9975 numerators:, 1995, 3990, 5985, 7980, 11970, 13965, 15960, 17955, 21945, 23940, 25935, 27930, 31920, 33915, 35910, 37905 denominator= 9976 numerators:, 4988, 14964, 24940, 34916 denominator= 9978 numerators:, 4989, 14967, 24945, 34923, 44901 denominator= 9980 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 6986, 7984, 8982, 10978, 11976, 12974, 13972, 14970, 15968, 16966, 17964, 18962, 20958, 21956, 22954, 23952, 24950, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 34930, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 44910, 45908, 46906, 47904, 48902 denominator= 9982 numerators:, 4991, 14973, 24955, 34937, 44919, 54901 denominator= 9984 numerators:, 4992, 14976, 24960, 34944, 44928, 54912 denominator= 9985 numerators:, 1997, 3994, 5991, 7988, 11982, 13979, 15976, 17973, 21967, 23964, 25961, 27958, 31952, 33949, 35946, 37943, 41937, 43934, 45931, 47928, 51922, 53919, 55916, 57913, 61907, 63904, 65901 denominator= 9986 numerators:, 4993, 14979, 24965, 34951, 44937, 54923, 64909 denominator= 9988 numerators:, 4994, 14982, 24970, 34958, 44946, 54934, 64922, 74910 denominator= 9992 numerators:, 4996, 14988, 24980, 34972, 44964, 54956, 64948, 74940, 84932, 94924, 104916, 114908, 124900 denominator= 9994 numerators:, 4997, 14991, 24985, 34979, 44973, 54967, 64961, 74955, 84949, 94943, 104937, 114931, 124925, 134919, 144913, 154907, 164901 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991, 21989, 23988, 25987, 27986, 31984, 33983, 35982, 37981, 41979, 43978, 45977, 47976, 51974, 53973, 55972, 57971, 61969, 63968, 65967, 67966, 71964, 73963, 75962, 77961, 81959, 83958, 85957, 87956, 91954, 93953, 95952, 97951, 101949, 103948, 105947, 107946, 111944, 113943, 115942, 117941, 121939, 123938, 125937, 127936, 131934, 133933, 135932, 137931, 141929, 143928, 145927, 147926, 151924, 153923, 155922, 157921, 161919, 163918, 165917, 167916, 171914, 173913, 175912, 177911, 181909, 183908, 185907, 187906, 191904, 193903, 195902, 197901 denominator= 9996 numerators:, 4998, 14994, 24990, 34986, 44982, 54978, 64974, 74970, 84966, 94962, 104958, 114954, 124950, 134946, 144942, 154938, 164934, 174930, 184926, 194922, 204918, 214914, 224910, 234906, 244902 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991, 54989, 64987, 74985, 84983, 94981, 104979, 114977, 124975, 134973, 144971, 154969, 164967, 174965, 184963, 194961, 204959, 214957, 224955, 234953, 244951, 254949, 264947, 274945, 284943, 294941, 304939, 314937, 324935, 334933, 344931, 354929, 364927, 374925, 384923, 394921, 404919, 414917, 424915, 434913, 444911, 454909, 464907, 474905, 484903, 494901 ------------------------------------------------------------------------- Section 12 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 3, -th digit of the numerator is cancelled out with the, 2, -th digit of the denominator denominator= 1210 numerators:, 2200, 22000 denominator= 1221 numerators:, 2220, 22200, 32190, 42180, 52170, 62160, 72150, 82140, 92130, 102120, 112110, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 1300 numerators:, 3250 denominator= 1302 numerators:, 3255 denominator= 1304 numerators:, 3260 denominator= 1306 numerators:, 3265 denominator= 1308 numerators:, 3270 denominator= 1310 numerators:, 3275 denominator= 1312 numerators:, 3280 denominator= 1314 numerators:, 3285 denominator= 1316 numerators:, 3290, 23030 denominator= 1318 numerators:, 3295, 23065 denominator= 1320 numerators:, 3300, 23100 denominator= 1322 numerators:, 3305, 23135 denominator= 1324 numerators:, 3310, 23170, 43030 denominator= 1326 numerators:, 3315, 23205, 43095 denominator= 1328 numerators:, 3320, 23240, 43160, 63080, 83000 denominator= 1330 numerators:, 3325, 23275, 43225, 63175, 83125, 103075, 123025 denominator= 1332 numerators:, 3330, 23310, 43290, 63270, 83250, 103230, 123210, 143190, 163170, 183150, 203130, 223110, 243090, 263070, 283050, 303030, 323010 denominator= 1404 numerators:, 4320 denominator= 1417 numerators:, 4360 denominator= 1430 numerators:, 4400, 24200, 34100, 44000 denominator= 1443 numerators:, 4440, 24420, 34410, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 414030, 424020, 434010, 444000 denominator= 1505 numerators:, 5375 denominator= 1512 numerators:, 5400 denominator= 1519 numerators:, 5425 denominator= 1526 numerators:, 5450, 25070 denominator= 1533 numerators:, 5475, 25185, 35040 denominator= 1540 numerators:, 5500, 25300, 35200, 45100, 55000 denominator= 1547 numerators:, 5525, 25415, 35360, 45305, 55250, 65195, 75140, 95030 denominator= 1554 numerators:, 5550, 25530, 35520, 45510, 55500, 65490, 75480, 95460, 105450, 115440, 125430, 135420, 145410, 165390, 175380, 185370, 195360, 205350, 215340, 235320, 245310, 255300, 265290, 275280, 285270, 305250, 315240, 325230, 335220, 345210, 355200, 375180, 385170, 395160, 405150, 415140, 425130, 445110, 455100, 465090, 475080, 485070, 495060, 515040, 525030, 535020, 545010, 555000 denominator= 1704 numerators:, 7455 denominator= 1712 numerators:, 7490 denominator= 1720 numerators:, 7525 denominator= 1728 numerators:, 7560, 27000 denominator= 1736 numerators:, 7595, 27125 denominator= 1744 numerators:, 7630, 27250, 37060 denominator= 1748 numerators:, 37145 denominator= 1752 numerators:, 7665, 27375, 37230, 47085 denominator= 1754 numerators:, 57005 denominator= 1756 numerators:, 37315, 57070 denominator= 1758 numerators:, 57135 denominator= 1760 numerators:, 7700, 27500, 37400, 47300, 57200, 67100, 77000 denominator= 1762 numerators:, 57265 denominator= 1764 numerators:, 37485, 57330, 77175 denominator= 1766 numerators:, 57395 denominator= 1768 numerators:, 7735, 27625, 37570, 47515, 57460, 67405, 77350, 87295, 107185, 117130, 127075, 137020 denominator= 1770 numerators:, 57525, 137175 denominator= 1772 numerators:, 37655, 57590, 77525, 117395, 137330, 157265, 197135, 217070, 237005 denominator= 1774 numerators:, 57655, 137485, 217315, 297145 denominator= 1776 numerators:, 7770, 27750, 37740, 47730, 57720, 67710, 77700, 87690, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 747030, 757020, 767010, 777000 denominator= 1802 numerators:, 8480 denominator= 1819 numerators:, 8560 denominator= 1836 numerators:, 8640, 28080 denominator= 1853 numerators:, 8720, 28340, 38150 denominator= 1870 numerators:, 8800, 28600, 38500, 48400, 58300, 68200, 78100, 88000 denominator= 1887 numerators:, 8880, 28860, 38850, 48840, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 878010, 888000 denominator= 2109 numerators:, 1110, 11100, 31080, 41070, 51060, 61050, 71040, 81030, 91020, 101010, 111000 denominator= 2200 numerators:, 12100 denominator= 2202 numerators:, 12111 denominator= 2204 numerators:, 12122 denominator= 2206 numerators:, 12133 denominator= 2208 numerators:, 12144, 32016 denominator= 2210 numerators:, 12155, 32045 denominator= 2212 numerators:, 12166, 32074 denominator= 2214 numerators:, 12177, 32103, 52029 denominator= 2216 numerators:, 12188, 32132, 52076, 72020 denominator= 2218 numerators:, 12199, 32161, 52123, 72085, 92047, 112009 denominator= 2220 numerators:, 12210, 32190, 52170, 72150, 92130, 112110, 132090, 152070, 172050, 192030, 212010 denominator= 2303 numerators:, 3290, 13160 denominator= 2310 numerators:, 3300, 13200, 33000 denominator= 2317 numerators:, 3310, 13240, 33100, 43030 denominator= 2324 numerators:, 3320, 13280, 33200, 43160, 53120, 63080, 73040, 83000 denominator= 2331 numerators:, 3330, 13320, 33300, 43290, 53280, 63270, 73260, 83250, 103230, 113220, 123210, 133200, 143190, 153180, 173160, 183150, 193140, 203130, 213120, 223110, 243090, 253080, 263070, 273060, 283050, 293040, 313020, 323010, 333000 denominator= 2409 numerators:, 4380, 14235 denominator= 2420 numerators:, 4400, 14300, 34100, 44000 denominator= 2431 numerators:, 4420, 14365, 34255, 44200, 54145, 64090, 74035 denominator= 2442 numerators:, 4440, 14430, 34410, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 2507 numerators:, 5450, 15260 denominator= 2530 numerators:, 5500, 15400, 35200, 45100, 55000 denominator= 2553 numerators:, 5550, 15540, 35520, 45510, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 2600 numerators:, 6500, 16250 denominator= 2602 numerators:, 6505 denominator= 2604 numerators:, 6510, 16275 denominator= 2606 numerators:, 6515 denominator= 2608 numerators:, 6520, 16300 denominator= 2610 numerators:, 6525 denominator= 2612 numerators:, 6530, 16325 denominator= 2614 numerators:, 6535 denominator= 2616 numerators:, 6540, 16350 denominator= 2618 numerators:, 6545 denominator= 2620 numerators:, 6550, 16375, 36025 denominator= 2622 numerators:, 6555 denominator= 2624 numerators:, 6560, 16400, 36080 denominator= 2626 numerators:, 6565 denominator= 2628 numerators:, 6570, 16425, 36135 denominator= 2630 numerators:, 6575, 46025 denominator= 2632 numerators:, 6580, 16450, 36190, 46060 denominator= 2634 numerators:, 6585, 46095 denominator= 2636 numerators:, 6590, 16475, 36245, 46130, 56015 denominator= 2638 numerators:, 6595, 46165 denominator= 2640 numerators:, 6600, 16500, 36300, 46200, 56100 denominator= 2642 numerators:, 6605, 46235 denominator= 2644 numerators:, 6610, 16525, 36355, 46270, 56185, 76015 denominator= 2646 numerators:, 6615, 46305 denominator= 2648 numerators:, 6620, 16550, 36410, 46340, 56270, 76130, 86060 denominator= 2650 numerators:, 6625, 46375, 86125 denominator= 2652 numerators:, 6630, 16575, 36465, 46410, 56355, 76245, 86190, 96135, 116025 denominator= 2654 numerators:, 6635, 46445, 86255, 126065 denominator= 2656 numerators:, 6640, 16600, 36520, 46480, 56440, 76360, 86320, 96280, 116200, 126160, 136120, 156040, 166000 denominator= 2658 numerators:, 6645, 46515, 86385, 126255, 166125 denominator= 2660 numerators:, 6650, 16625, 36575, 46550, 56525, 76475, 86450, 96425, 116375, 126350, 136325, 156275, 166250, 176225, 196175, 206150, 216125, 236075, 246050, 256025 denominator= 2662 numerators:, 6655, 46585, 86515, 126445, 166375, 206305, 246235, 286165, 326095, 366025 denominator= 2664 numerators:, 6660, 16650, 36630, 46620, 56610, 76590, 86580, 96570, 116550, 126540, 136530, 156510, 166500, 176490, 196470, 206460, 216450, 236430, 246420, 256410, 276390, 286380, 296370, 316350, 326340, 336330, 356310, 366300, 376290, 396270, 406260, 416250, 436230, 446220, 456210, 476190, 486180, 496170, 516150, 526140, 536130, 556110, 566100, 576090, 596070, 606060, 616050, 636030, 646020, 656010 denominator= 2666 numerators:, 6665, 46655, 86645, 126635, 166625, 206615, 246605, 286595, 326585, 366575, 406565, 446555, 486545, 526535, 566525, 606515, 646505, 686495, 726485, 766475, 806465, 846455, 886445, 926435, 966425, 1006415, 1046405, 1086395, 1126385, 1166375, 1206365, 1246355, 1286345, 1326335, 1366325, 1406315, 1446305, 1486295, 1526285, 1566275, 1606265, 1646255, 1686245, 1726235, 1766225, 1806215, 1846205, 1886195, 1926185, 1966175, 2006165, 2046155, 2086145, 2126135, 2166125, 2206115, 2246105, 2286095, 2326085, 2366075, 2406065, 2446055, 2486045, 2526035, 2566025, 2606015, 2646005 denominator= 2700 numerators:, 7560, 17280 denominator= 2705 numerators:, 7574, 17312 denominator= 2710 numerators:, 7588, 17344 denominator= 2715 numerators:, 7602, 17376 denominator= 2720 numerators:, 7616, 17408 denominator= 2725 numerators:, 7630, 17440, 37060 denominator= 2730 numerators:, 7644, 17472, 37128 denominator= 2735 numerators:, 7658, 17504, 37196, 47042 denominator= 2740 numerators:, 7672, 17536, 37264, 47128 denominator= 2745 numerators:, 7686, 17568, 37332, 47214, 57096 denominator= 2750 numerators:, 7700, 17600, 37400, 47300, 57200, 67100 denominator= 2755 numerators:, 7714, 17632, 37468, 47386, 57304, 67222, 87058 denominator= 2760 numerators:, 7728, 17664, 37536, 47472, 57408, 67344, 87216, 97152, 107088, 117024 denominator= 2765 numerators:, 7742, 17696, 37604, 47558, 57512, 67466, 87374, 97328, 107282, 117236, 137144, 147098, 157052, 167006 denominator= 2770 numerators:, 7756, 17728, 37672, 47644, 57616, 67588, 87532, 97504, 107476, 117448, 137392, 147364, 157336, 167308, 187252, 197224, 207196, 217168, 237112, 247084, 257056, 267028 denominator= 2775 numerators:, 7770, 17760, 37740, 47730, 57720, 67710, 87690, 97680, 107670, 117660, 137640, 147630, 157620, 167610, 187590, 197580, 207570, 217560, 237540, 247530, 257520, 267510, 287490, 297480, 307470, 317460, 337440, 347430, 357420, 367410, 387390, 397380, 407370, 417360, 437340, 447330, 457320, 467310, 487290, 497280, 507270, 517260, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 637140, 647130, 657120, 667110, 687090, 697080, 707070, 717060, 737040, 747030, 757020, 767010 denominator= 2808 numerators:, 8640, 18360 denominator= 2821 numerators:, 8680, 18445 denominator= 2834 numerators:, 8720, 18530, 38150 denominator= 2847 numerators:, 8760, 18615, 38325, 48180, 58035 denominator= 2860 numerators:, 8800, 18700, 38500, 48400, 58300, 68200, 78100, 88000 denominator= 2873 numerators:, 8840, 18785, 38675, 48620, 58565, 68510, 78455, 88400, 98345, 108290, 118235, 128180, 138125, 148070 denominator= 2886 numerators:, 8880, 18870, 38850, 48840, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 2901 numerators:, 9670, 19340 denominator= 2904 numerators:, 9680, 19360 denominator= 2907 numerators:, 9690, 19380 denominator= 2910 numerators:, 9700, 19400 denominator= 2913 numerators:, 9710, 19420 denominator= 2916 numerators:, 9720, 19440 denominator= 2919 numerators:, 9730, 19460 denominator= 2922 numerators:, 9740, 19480 denominator= 2925 numerators:, 9750, 19500, 39000 denominator= 2928 numerators:, 9760, 19520, 39040 denominator= 2931 numerators:, 9770, 19540, 39080 denominator= 2934 numerators:, 9780, 19560, 39120 denominator= 2937 numerators:, 9790, 19580, 39160 denominator= 2940 numerators:, 9800, 19600, 39200, 49000 denominator= 2943 numerators:, 9810, 19620, 39240, 49050 denominator= 2946 numerators:, 9820, 19640, 39280, 49100 denominator= 2949 numerators:, 9830, 19660, 39320, 49150 denominator= 2952 numerators:, 9840, 19680, 39360, 49200 denominator= 2955 numerators:, 9850, 19700, 39400, 49250 denominator= 2958 numerators:, 9860, 19720, 39440, 49300, 69020 denominator= 2961 numerators:, 9870, 19740, 39480, 49350, 69090 denominator= 2964 numerators:, 9880, 19760, 39520, 49400, 69160, 79040 denominator= 2967 numerators:, 9890, 19780, 39560, 49450, 69230, 79120 denominator= 2970 numerators:, 9900, 19800, 39600, 49500, 69300, 79200, 99000 denominator= 2973 numerators:, 9910, 19820, 39640, 49550, 69370, 79280, 99100, 109010 denominator= 2976 numerators:, 9920, 19840, 39680, 49600, 69440, 79360, 99200, 109120 denominator= 2979 numerators:, 9930, 19860, 39720, 49650, 69510, 79440, 99300, 109230, 129090, 139020 denominator= 2982 numerators:, 9940, 19880, 39760, 49700, 69580, 79520, 99400, 109340, 129220, 139160, 159040 denominator= 2985 numerators:, 9950, 19900, 39800, 49750, 69650, 79600, 99500, 109450, 129350, 139300, 159200, 169150, 189050, 199000 denominator= 2988 numerators:, 9960, 19920, 39840, 49800, 69720, 79680, 99600, 109560, 129480, 139440, 159360, 169320, 189240, 199200, 219120, 229080, 249000 denominator= 2991 numerators:, 9970, 19940, 39880, 49850, 69790, 79760, 99700, 109670, 129610, 139580, 159520, 169490, 189430, 199400, 219340, 229310, 249250, 259220, 279160, 289130, 309070, 319040 denominator= 2994 numerators:, 9980, 19960, 39920, 49900, 69860, 79840, 99800, 109780, 129740, 139720, 159680, 169660, 189620, 199600, 219560, 229540, 249500, 259480, 279440, 289420, 309380, 319360, 339320, 349300, 369260, 379240, 399200, 409180, 429140, 439120, 459080, 469060, 489020, 499000 denominator= 2997 numerators:, 9990, 19980, 39960, 49950, 69930, 79920, 99900, 109890, 129870, 139860, 159840, 169830, 189810, 199800, 219780, 229770, 249750, 259740, 279720, 289710, 309690, 319680, 339660, 349650, 369630, 379620, 399600, 409590, 429570, 439560, 459540, 469530, 489510, 499500, 519480, 529470, 549450, 559440, 579420, 589410, 609390, 619380, 639360, 649350, 669330, 679320, 699300, 709290, 729270, 739260, 759240, 769230, 789210, 799200, 819180, 829170, 849150, 859140, 879120, 889110, 909090, 919080, 939060, 949050, 969030, 979020, 999000 denominator= 3101 numerators:, 11075 denominator= 3108 numerators:, 1110, 11100, 21090, 41070, 51060, 61050, 71040, 81030, 91020, 101010, 111000 denominator= 3110 numerators:, 101075, 241025 denominator= 3219 numerators:, 2220, 12210, 22200, 42180, 52170, 62160, 72150, 82140, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 3410 numerators:, 4400, 14300, 24200, 44000 denominator= 3441 numerators:, 4440, 14430, 24420, 44400, 54390, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 3504 numerators:, 5475, 15330, 25185 denominator= 3512 numerators:, 15365 denominator= 3520 numerators:, 5500, 15400, 25300, 45100, 55000 denominator= 3528 numerators:, 15435, 55125 denominator= 3532 numerators:, 75055 denominator= 3536 numerators:, 5525, 15470, 25415, 45305, 55250, 65195, 75140, 85085, 95030 denominator= 3540 numerators:, 75225, 115050 denominator= 3542 numerators:, 115115 denominator= 3544 numerators:, 15505, 55375, 75310, 95245, 115180, 135115, 155050 denominator= 3546 numerators:, 115245 denominator= 3548 numerators:, 75395, 115310, 155225, 235055 denominator= 3550 numerators:, 115375, 275125 denominator= 3552 numerators:, 5550, 15540, 25530, 45510, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 525030, 535020, 545010, 555000 denominator= 3554 numerators:, 115505, 275435, 435365, 595295, 755225, 915155, 1075085, 1235015 denominator= 3608 numerators:, 6560, 16400, 26240 denominator= 3619 numerators:, 6580, 16450, 26320, 46060 denominator= 3630 numerators:, 6600, 16500, 26400, 46200, 56100, 66000 denominator= 3641 numerators:, 6620, 16550, 26480, 46340, 56270, 66200, 76130, 86060 denominator= 3652 numerators:, 6640, 16600, 26560, 46480, 56440, 66400, 76360, 86320, 96280, 106240, 116200, 126160, 136120, 156040, 166000 denominator= 3663 numerators:, 6660, 16650, 26640, 46620, 56610, 66600, 76590, 86580, 96570, 106560, 116550, 126540, 136530, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 226440, 236430, 246420, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 346320, 356310, 376290, 386280, 396270, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 566100, 576090, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 3706 numerators:, 7630, 17440, 27250 denominator= 3723 numerators:, 7665, 17520, 27375, 47085 denominator= 3740 numerators:, 7700, 17600, 27500, 47300, 57200, 67100, 77000 denominator= 3757 numerators:, 7735, 17680, 27625, 47515, 57460, 67405, 77350, 87295, 97240, 107185, 117130, 127075, 137020 denominator= 3774 numerators:, 7770, 17760, 27750, 47730, 57720, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 3801 numerators:, 8688, 18462, 28236 denominator= 3808 numerators:, 8704, 18496, 28288 denominator= 3815 numerators:, 8720, 18530, 28340 denominator= 3822 numerators:, 8736, 18564, 28392, 48048 denominator= 3829 numerators:, 8752, 18598, 28444, 48136 denominator= 3836 numerators:, 8768, 18632, 28496, 48224, 58088 denominator= 3843 numerators:, 8784, 18666, 28548, 48312, 58194, 68076 denominator= 3850 numerators:, 8800, 18700, 28600, 48400, 58300, 68200, 78100, 88000 denominator= 3857 numerators:, 8816, 18734, 28652, 48488, 58406, 68324, 78242, 88160, 98078 denominator= 3864 numerators:, 8832, 18768, 28704, 48576, 58512, 68448, 78384, 88320, 98256, 118128, 128064, 138000 denominator= 3871 numerators:, 8848, 18802, 28756, 48664, 58618, 68572, 78526, 88480, 98434, 118342, 128296, 138250, 148204, 158158, 168112, 188020 denominator= 3878 numerators:, 8864, 18836, 28808, 48752, 58724, 68696, 78668, 88640, 98612, 118556, 128528, 138500, 148472, 158444, 168416, 188360, 198332, 208304, 218276, 228248, 238220, 258164, 268136, 278108, 288080, 298052, 308024 denominator= 3885 numerators:, 8880, 18870, 28860, 48840, 58830, 68820, 78810, 88800, 98790, 118770, 128760, 138750, 148740, 158730, 168720, 188700, 198690, 208680, 218670, 228660, 238650, 258630, 268620, 278610, 288600, 298590, 308580, 328560, 338550, 348540, 358530, 368520, 378510, 398490, 408480, 418470, 428460, 438450, 448440, 468420, 478410, 488400, 498390, 508380, 518370, 538350, 548340, 558330, 568320, 578310, 588300, 608280, 618270, 628260, 638250, 648240, 658230, 678210, 688200, 698190, 708180, 718170, 728160, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 888000 denominator= 3900 numerators:, 9750, 29250 denominator= 3902 numerators:, 9755, 29265 denominator= 3904 numerators:, 9760, 29280 denominator= 3906 numerators:, 9765, 29295 denominator= 3908 numerators:, 9770, 29310 denominator= 3910 numerators:, 9775, 29325 denominator= 3912 numerators:, 9780, 29340 denominator= 3914 numerators:, 9785, 29355 denominator= 3916 numerators:, 9790, 29370 denominator= 3918 numerators:, 9795, 29385 denominator= 3920 numerators:, 9800, 29400, 49000 denominator= 3922 numerators:, 9805, 29415, 49025 denominator= 3924 numerators:, 9810, 29430, 49050 denominator= 3926 numerators:, 9815, 29445, 49075 denominator= 3928 numerators:, 9820, 29460, 49100 denominator= 3930 numerators:, 9825, 29475, 49125 denominator= 3932 numerators:, 9830, 29490, 49150 denominator= 3934 numerators:, 9835, 29505, 49175 denominator= 3936 numerators:, 9840, 29520, 49200 denominator= 3938 numerators:, 9845, 29535, 49225 denominator= 3940 numerators:, 9850, 29550, 49250 denominator= 3942 numerators:, 9855, 29565, 49275 denominator= 3944 numerators:, 9860, 29580, 49300, 69020 denominator= 3946 numerators:, 9865, 29595, 49325, 69055 denominator= 3948 numerators:, 9870, 29610, 49350, 69090 denominator= 3950 numerators:, 9875, 29625, 49375, 69125 denominator= 3952 numerators:, 9880, 29640, 49400, 69160 denominator= 3954 numerators:, 9885, 29655, 49425, 69195 denominator= 3956 numerators:, 9890, 29670, 49450, 69230, 89010 denominator= 3958 numerators:, 9895, 29685, 49475, 69265, 89055 denominator= 3960 numerators:, 9900, 29700, 49500, 69300, 89100 denominator= 3962 numerators:, 9905, 29715, 49525, 69335, 89145 denominator= 3964 numerators:, 9910, 29730, 49550, 69370, 89190, 109010 denominator= 3966 numerators:, 9915, 29745, 49575, 69405, 89235, 109065 denominator= 3968 numerators:, 9920, 29760, 49600, 69440, 89280, 109120 denominator= 3970 numerators:, 9925, 29775, 49625, 69475, 89325, 109175, 129025 denominator= 3972 numerators:, 9930, 29790, 49650, 69510, 89370, 109230, 129090 denominator= 3974 numerators:, 9935, 29805, 49675, 69545, 89415, 109285, 129155, 149025 denominator= 3976 numerators:, 9940, 29820, 49700, 69580, 89460, 109340, 129220, 149100 denominator= 3978 numerators:, 9945, 29835, 49725, 69615, 89505, 109395, 129285, 149175, 169065 denominator= 3980 numerators:, 9950, 29850, 49750, 69650, 89550, 109450, 129350, 149250, 169150, 189050 denominator= 3982 numerators:, 9955, 29865, 49775, 69685, 89595, 109505, 129415, 149325, 169235, 189145, 209055 denominator= 3984 numerators:, 9960, 29880, 49800, 69720, 89640, 109560, 129480, 149400, 169320, 189240, 209160, 229080, 249000 denominator= 3986 numerators:, 9965, 29895, 49825, 69755, 89685, 109615, 129545, 149475, 169405, 189335, 209265, 229195, 249125, 269055 denominator= 3988 numerators:, 9970, 29910, 49850, 69790, 89730, 109670, 129610, 149550, 169490, 189430, 209370, 229310, 249250, 269190, 289130, 309070, 329010 denominator= 3990 numerators:, 9975, 29925, 49875, 69825, 89775, 109725, 129675, 149625, 169575, 189525, 209475, 229425, 249375, 269325, 289275, 309225, 329175, 349125, 369075, 389025 denominator= 3992 numerators:, 9980, 29940, 49900, 69860, 89820, 109780, 129740, 149700, 169660, 189620, 209580, 229540, 249500, 269460, 289420, 309380, 329340, 349300, 369260, 389220, 409180, 429140, 449100, 469060, 489020 denominator= 3994 numerators:, 9985, 29955, 49925, 69895, 89865, 109835, 129805, 149775, 169745, 189715, 209685, 229655, 249625, 269595, 289565, 309535, 329505, 349475, 369445, 389415, 409385, 429355, 449325, 469295, 489265, 509235, 529205, 549175, 569145, 589115, 609085, 629055, 649025 denominator= 3996 numerators:, 9990, 29970, 49950, 69930, 89910, 109890, 129870, 149850, 169830, 189810, 209790, 229770, 249750, 269730, 289710, 309690, 329670, 349650, 369630, 389610, 409590, 429570, 449550, 469530, 489510, 509490, 529470, 549450, 569430, 589410, 609390, 629370, 649350, 669330, 689310, 709290, 729270, 749250, 769230, 789210, 809190, 829170, 849150, 869130, 889110, 909090, 929070, 949050, 969030, 989010 denominator= 3998 numerators:, 9995, 29985, 49975, 69965, 89955, 109945, 129935, 149925, 169915, 189905, 209895, 229885, 249875, 269865, 289855, 309845, 329835, 349825, 369815, 389805, 409795, 429785, 449775, 469765, 489755, 509745, 529735, 549725, 569715, 589705, 609695, 629685, 649675, 669665, 689655, 709645, 729635, 749625, 769615, 789605, 809595, 829585, 849575, 869565, 889555, 909545, 929535, 949525, 969515, 989505, 1009495, 1029485, 1049475, 1069465, 1089455, 1109445, 1129435, 1149425, 1169415, 1189405, 1209395, 1229385, 1249375, 1269365, 1289355, 1309345, 1329335, 1349325, 1369315, 1389305, 1409295, 1429285, 1449275, 1469265, 1489255, 1509245, 1529235, 1549225, 1569215, 1589205, 1609195, 1629185, 1649175, 1669165, 1689155, 1709145, 1729135, 1749125, 1769115, 1789105, 1809095, 1829085, 1849075, 1869065, 1889055, 1909045, 1929035, 1949025, 1969015, 1989005 denominator= 4107 numerators:, 1110, 11100, 21090, 31080, 51060, 61050, 71040, 81030, 91020, 101010, 111000 denominator= 4218 numerators:, 2220, 12210, 22200, 32190, 52170, 62160, 72150, 82140, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 4303 numerators:, 3310, 13240, 23170, 33100 denominator= 4316 numerators:, 3320, 13280, 23240, 33200, 53120, 63080, 73040, 83000 denominator= 4329 numerators:, 3330, 13320, 23310, 33300, 53280, 63270, 73260, 83250, 93240, 103230, 113220, 123210, 133200, 143190, 153180, 163170, 183150, 193140, 203130, 213120, 223110, 233100, 243090, 253080, 263070, 273060, 283050, 293040, 313020, 323010, 333000 denominator= 4400 numerators:, 14300, 24200, 34100 denominator= 4402 numerators:, 24211 denominator= 4404 numerators:, 14313, 24222, 34131 denominator= 4406 numerators:, 24233 denominator= 4408 numerators:, 14326, 24244, 34162 denominator= 4410 numerators:, 24255 denominator= 4412 numerators:, 14339, 24266, 34193, 54047 denominator= 4414 numerators:, 24277, 64003 denominator= 4416 numerators:, 14352, 24288, 34224, 54096, 64032 denominator= 4418 numerators:, 24299, 64061 denominator= 4420 numerators:, 14365, 24310, 34255, 54145, 64090, 74035 denominator= 4422 numerators:, 24321, 64119 denominator= 4424 numerators:, 14378, 24332, 34286, 54194, 64148, 74102, 94010 denominator= 4426 numerators:, 24343, 64177, 104011 denominator= 4428 numerators:, 14391, 24354, 34317, 54243, 64206, 74169, 94095, 104058, 114021 denominator= 4430 numerators:, 24365, 64235, 104105 denominator= 4432 numerators:, 14404, 24376, 34348, 54292, 64264, 74236, 94180, 104152, 114124, 134068, 144040, 154012 denominator= 4434 numerators:, 24387, 64293, 104199, 144105, 184011 denominator= 4436 numerators:, 14417, 24398, 34379, 54341, 64322, 74303, 94265, 104246, 114227, 134189, 144170, 154151, 174113, 184094, 194075, 214037, 224018 denominator= 4438 numerators:, 24409, 64351, 104293, 144235, 184177, 224119, 264061, 304003 denominator= 4440 numerators:, 14430, 24420, 34410, 54390, 64380, 74370, 94350, 104340, 114330, 134310, 144300, 154290, 174270, 184260, 194250, 214230, 224220, 234210, 254190, 264180, 274170, 294150, 304140, 314130, 334110, 344100, 354090, 374070, 384060, 394050, 414030, 424020, 434010 denominator= 4442 numerators:, 24431, 64409, 104387, 144365, 184343, 224321, 264299, 304277, 344255, 384233, 424211, 464189, 504167, 544145, 584123, 624101, 664079, 704057, 744035, 784013 denominator= 4510 numerators:, 5500, 15400, 25300, 35200, 55000 denominator= 4551 numerators:, 5550, 15540, 25530, 35520, 55500, 65490, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 465090, 475080, 485070, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 4606 numerators:, 6580, 16450, 26320, 36190 denominator= 4613 numerators:, 6590, 16475, 26360, 36245, 56015 denominator= 4620 numerators:, 6600, 16500, 26400, 36300, 56100, 66000 denominator= 4627 numerators:, 6610, 16525, 26440, 36355, 56185, 66100, 76015 denominator= 4634 numerators:, 6620, 16550, 26480, 36410, 56270, 66200, 76130, 86060 denominator= 4641 numerators:, 6630, 16575, 26520, 36465, 56355, 66300, 76245, 86190, 96135, 106080 denominator= 4648 numerators:, 6640, 16600, 26560, 36520, 56440, 66400, 76360, 86320, 96280, 106240, 126160, 136120, 146080, 156040, 166000 denominator= 4655 numerators:, 6650, 16625, 26600, 36575, 56525, 66500, 76475, 86450, 96425, 106400, 126350, 136325, 146300, 156275, 166250, 176225, 196175, 206150, 216125, 226100, 236075, 246050, 266000 denominator= 4662 numerators:, 6660, 16650, 26640, 36630, 56610, 66600, 76590, 86580, 96570, 106560, 126540, 136530, 146520, 156510, 166500, 176490, 196470, 206460, 216450, 226440, 236430, 246420, 266400, 276390, 286380, 296370, 306360, 316350, 336330, 346320, 356310, 366300, 376290, 386280, 406260, 416250, 426240, 436230, 446220, 456210, 476190, 486180, 496170, 506160, 516150, 526140, 546120, 556110, 566100, 576090, 586080, 596070, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 4730 numerators:, 7700, 17600, 27500, 37400, 57200, 67100, 77000 denominator= 4773 numerators:, 7770, 17760, 27750, 37740, 57720, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 4807 numerators:, 8740, 28405 denominator= 4818 numerators:, 8760, 18615, 28470, 38325, 58035 denominator= 4829 numerators:, 8780, 28535, 68045 denominator= 4840 numerators:, 8800, 18700, 28600, 38500, 58300, 68200, 78100, 88000 denominator= 4851 numerators:, 8820, 28665, 68355, 88200, 108045 denominator= 4862 numerators:, 8840, 18785, 28730, 38675, 58565, 68510, 78455, 88400, 98345, 108290, 118235, 128180, 138125, 148070, 158015 denominator= 4864 numerators:, 158080 denominator= 4866 numerators:, 158145 denominator= 4868 numerators:, 158210 denominator= 4870 numerators:, 158275 denominator= 4872 numerators:, 158340 denominator= 4873 numerators:, 8860, 28795, 68665, 88600, 108535, 128470, 148405, 168340, 188275, 208210, 228145, 248080 denominator= 4874 numerators:, 158405 denominator= 4876 numerators:, 158470 denominator= 4878 numerators:, 158535, 378045 denominator= 4880 numerators:, 158600, 378200 denominator= 4882 numerators:, 158665, 378355, 598045 denominator= 4884 numerators:, 8880, 18870, 28860, 38850, 58830, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 4886 numerators:, 158795, 378665, 598535, 818405, 1038275, 1258145, 1478015 denominator= 4888 numerators:, 158860, 378820, 598780, 818740, 1038700, 1258660, 1478620, 1698580, 1918540, 2138500, 2358460, 2578420, 2798380, 3018340, 3238300, 3458260, 3678220, 3898180, 4118140, 4338100, 4558060, 4778020 denominator= 5106 numerators:, 1110, 11100, 21090, 31080, 41070, 61050, 71040, 81030, 91020, 101010, 111000 denominator= 5217 numerators:, 2220, 12210, 22200, 32190, 42180, 62160, 72150, 82140, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 5300 numerators:, 13250, 33125 denominator= 5302 numerators:, 13255 denominator= 5304 numerators:, 3315, 13260, 23205, 33150, 43095 denominator= 5306 numerators:, 13265 denominator= 5308 numerators:, 13270, 33175 denominator= 5310 numerators:, 13275 denominator= 5312 numerators:, 3320, 13280, 23240, 33200, 43160, 63080, 73040, 83000 denominator= 5314 numerators:, 13285 denominator= 5316 numerators:, 13290, 33225, 73095, 93030 denominator= 5318 numerators:, 13295, 93065 denominator= 5320 numerators:, 3325, 13300, 23275, 33250, 43225, 63175, 73150, 83125, 93100, 103075, 113050, 123025 denominator= 5322 numerators:, 13305, 93135 denominator= 5324 numerators:, 13310, 33275, 73205, 93170, 113135, 153065, 173030 denominator= 5326 numerators:, 13315, 93205, 173095 denominator= 5328 numerators:, 3330, 13320, 23310, 33300, 43290, 63270, 73260, 83250, 93240, 103230, 113220, 123210, 143190, 153180, 163170, 173160, 183150, 193140, 203130, 223110, 233100, 243090, 253080, 263070, 273060, 283050, 303030, 313020, 323010, 333000 denominator= 5330 numerators:, 13325, 93275, 173225, 253175, 333125, 413075, 493025 denominator= 5332 numerators:, 13330, 33325, 73315, 93310, 113305, 153295, 173290, 193285, 233275, 253270, 273265, 313255, 333250, 353245, 393235, 413230, 433225, 473215, 493210, 513205, 553195, 573190, 593185, 633175, 653170, 673165, 713155, 733150, 753145, 793135, 813130, 833125, 873115, 893110, 913105, 953095, 973090, 993085, 1033075, 1053070, 1073065, 1113055, 1133050, 1153045, 1193035, 1213030, 1233025, 1273015, 1293010, 1313005 denominator= 5425 numerators:, 124000 denominator= 5432 numerators:, 124160, 194000 denominator= 5439 numerators:, 4440, 14430, 24420, 34410, 44400, 64380, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 5500 numerators:, 15400, 25300, 35200, 45100 denominator= 5505 numerators:, 15414, 25323, 35232, 45141 denominator= 5510 numerators:, 15428, 25346, 35264, 45182, 65018 denominator= 5515 numerators:, 15442, 25369, 35296, 45223, 65077, 75004 denominator= 5520 numerators:, 15456, 25392, 35328, 45264, 65136, 75072, 85008 denominator= 5525 numerators:, 15470, 25415, 35360, 45305, 65195, 75140, 85085, 95030 denominator= 5530 numerators:, 15484, 25438, 35392, 45346, 65254, 75208, 85162, 95116, 115024 denominator= 5535 numerators:, 15498, 25461, 35424, 45387, 65313, 75276, 85239, 95202, 115128, 125091, 135054, 145017 denominator= 5540 numerators:, 15512, 25484, 35456, 45428, 65372, 75344, 85316, 95288, 115232, 125204, 135176, 145148, 165092, 175064, 185036, 195008 denominator= 5545 numerators:, 15526, 25507, 35488, 45469, 65431, 75412, 85393, 95374, 115336, 125317, 135298, 145279, 165241, 175222, 185203, 195184, 215146, 225127, 235108, 245089, 265051, 275032, 285013 denominator= 5550 numerators:, 15540, 25530, 35520, 45510, 65490, 75480, 85470, 95460, 115440, 125430, 135420, 145410, 165390, 175380, 185370, 195360, 215340, 225330, 235320, 245310, 265290, 275280, 285270, 295260, 315240, 325230, 335220, 345210, 365190, 375180, 385170, 395160, 415140, 425130, 435120, 445110, 465090, 475080, 485070, 495060, 515040, 525030, 535020, 545010 denominator= 5610 numerators:, 6600, 16500, 26400, 36300, 46200, 66000 denominator= 5627 numerators:, 6620, 16550, 26480, 36410, 46340, 66200, 76130, 86060 denominator= 5644 numerators:, 6640, 16600, 26560, 36520, 46480, 66400, 76360, 86320, 96280, 106240, 116200, 126160, 136120, 146080, 156040, 166000 denominator= 5661 numerators:, 6660, 16650, 26640, 36630, 46620, 66600, 76590, 86580, 96570, 106560, 116550, 126540, 136530, 146520, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 236430, 246420, 256410, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 346320, 356310, 366300, 376290, 386280, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 476190, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 576090, 586080, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 5707 numerators:, 17560, 37315 denominator= 5720 numerators:, 7700, 17600, 27500, 37400, 47300, 67100, 77000 denominator= 5733 numerators:, 17640, 37485, 77175, 97020 denominator= 5746 numerators:, 7735, 17680, 27625, 37570, 47515, 67405, 77350, 87295, 97240, 107185, 117130, 127075, 137020 denominator= 5754 numerators:, 187005 denominator= 5756 numerators:, 187070 denominator= 5758 numerators:, 187135 denominator= 5759 numerators:, 17720, 37655, 77525, 97460, 117395, 137330, 157265, 177200, 197135, 217070, 237005 denominator= 5760 numerators:, 187200 denominator= 5762 numerators:, 187265 denominator= 5764 numerators:, 187330 denominator= 5766 numerators:, 187395 denominator= 5768 numerators:, 187460, 447020 denominator= 5770 numerators:, 187525, 447175 denominator= 5772 numerators:, 7770, 17760, 27750, 37740, 47730, 67710, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 5774 numerators:, 187655, 447485, 707315, 967145 denominator= 5776 numerators:, 187720, 447640, 707560, 967480, 1227400, 1487320, 1747240, 2007160, 2267080, 2527000 denominator= 5830 numerators:, 8800, 18700, 28600, 38500, 48400, 68200, 78100, 88000 denominator= 5883 numerators:, 8880, 18870, 28860, 38850, 48840, 68820, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 5901 numerators:, 9835, 19670, 39340, 49175 denominator= 5904 numerators:, 9840, 19680, 39360, 49200 denominator= 5907 numerators:, 9845, 19690, 39380, 49225 denominator= 5910 numerators:, 9850, 19700, 39400, 49250 denominator= 5913 numerators:, 9855, 19710, 39420, 49275 denominator= 5916 numerators:, 9860, 19720, 39440, 49300, 69020 denominator= 5919 numerators:, 9865, 19730, 39460, 49325, 69055 denominator= 5922 numerators:, 9870, 19740, 39480, 49350, 69090 denominator= 5925 numerators:, 9875, 19750, 39500, 49375, 69125, 79000 denominator= 5928 numerators:, 9880, 19760, 39520, 49400, 69160, 79040 denominator= 5931 numerators:, 9885, 19770, 39540, 49425, 69195, 79080 denominator= 5934 numerators:, 9890, 19780, 39560, 49450, 69230, 79120 denominator= 5937 numerators:, 9895, 19790, 39580, 49475, 69265, 79160 denominator= 5940 numerators:, 9900, 19800, 39600, 49500, 69300, 79200, 99000 denominator= 5943 numerators:, 9905, 19810, 39620, 49525, 69335, 79240, 99050 denominator= 5946 numerators:, 9910, 19820, 39640, 49550, 69370, 79280, 99100, 109010 denominator= 5949 numerators:, 9915, 19830, 39660, 49575, 69405, 79320, 99150, 109065 denominator= 5952 numerators:, 9920, 19840, 39680, 49600, 69440, 79360, 99200, 109120 denominator= 5955 numerators:, 9925, 19850, 39700, 49625, 69475, 79400, 99250, 109175, 129025 denominator= 5958 numerators:, 9930, 19860, 39720, 49650, 69510, 79440, 99300, 109230, 129090, 139020 denominator= 5961 numerators:, 9935, 19870, 39740, 49675, 69545, 79480, 99350, 109285, 129155, 139090 denominator= 5964 numerators:, 9940, 19880, 39760, 49700, 69580, 79520, 99400, 109340, 129220, 139160, 159040 denominator= 5967 numerators:, 9945, 19890, 39780, 49725, 69615, 79560, 99450, 109395, 129285, 139230, 159120, 169065 denominator= 5970 numerators:, 9950, 19900, 39800, 49750, 69650, 79600, 99500, 109450, 129350, 139300, 159200, 169150, 189050, 199000 denominator= 5973 numerators:, 9955, 19910, 39820, 49775, 69685, 79640, 99550, 109505, 129415, 139370, 159280, 169235, 189145, 199100, 219010 denominator= 5976 numerators:, 9960, 19920, 39840, 49800, 69720, 79680, 99600, 109560, 129480, 139440, 159360, 169320, 189240, 199200, 219120, 229080, 249000 denominator= 5979 numerators:, 9965, 19930, 39860, 49825, 69755, 79720, 99650, 109615, 129545, 139510, 159440, 169405, 189335, 199300, 219230, 229195, 249125, 259090, 279020 denominator= 5982 numerators:, 9970, 19940, 39880, 49850, 69790, 79760, 99700, 109670, 129610, 139580, 159520, 169490, 189430, 199400, 219340, 229310, 249250, 259220, 279160, 289130, 309070, 319040 denominator= 5985 numerators:, 9975, 19950, 39900, 49875, 69825, 79800, 99750, 109725, 129675, 139650, 159600, 169575, 189525, 199500, 219450, 229425, 249375, 259350, 279300, 289275, 309225, 319200, 339150, 349125, 369075, 379050, 399000 denominator= 5988 numerators:, 9980, 19960, 39920, 49900, 69860, 79840, 99800, 109780, 129740, 139720, 159680, 169660, 189620, 199600, 219560, 229540, 249500, 259480, 279440, 289420, 309380, 319360, 339320, 349300, 369260, 379240, 399200, 409180, 429140, 439120, 459080, 469060, 489020, 499000 denominator= 5991 numerators:, 9985, 19970, 39940, 49925, 69895, 79880, 99850, 109835, 129805, 139790, 159760, 169745, 189715, 199700, 219670, 229655, 249625, 259610, 279580, 289565, 309535, 319520, 339490, 349475, 369445, 379430, 399400, 409385, 429355, 439340, 459310, 469295, 489265, 499250, 519220, 529205, 549175, 559160, 579130, 589115, 609085, 619070, 639040, 649025 denominator= 5994 numerators:, 9990, 19980, 39960, 49950, 69930, 79920, 99900, 109890, 129870, 139860, 159840, 169830, 189810, 199800, 219780, 229770, 249750, 259740, 279720, 289710, 309690, 319680, 339660, 349650, 369630, 379620, 399600, 409590, 429570, 439560, 459540, 469530, 489510, 499500, 519480, 529470, 549450, 559440, 579420, 589410, 609390, 619380, 639360, 649350, 669330, 679320, 699300, 709290, 729270, 739260, 759240, 769230, 789210, 799200, 819180, 829170, 849150, 859140, 879120, 889110, 909090, 919080, 939060, 949050, 969030, 979020, 999000 denominator= 5997 numerators:, 9995, 19990, 39980, 49975, 69965, 79960, 99950, 109945, 129935, 139930, 159920, 169915, 189905, 199900, 219890, 229885, 249875, 259870, 279860, 289855, 309845, 319840, 339830, 349825, 369815, 379810, 399800, 409795, 429785, 439780, 459770, 469765, 489755, 499750, 519740, 529735, 549725, 559720, 579710, 589705, 609695, 619690, 639680, 649675, 669665, 679660, 699650, 709645, 729635, 739630, 759620, 769615, 789605, 799600, 819590, 829585, 849575, 859570, 879560, 889555, 909545, 919540, 939530, 949525, 969515, 979510, 999500, 1009495, 1029485, 1039480, 1059470, 1069465, 1089455, 1099450, 1119440, 1129435, 1149425, 1159420, 1179410, 1189405, 1209395, 1219390, 1239380, 1249375, 1269365, 1279360, 1299350, 1309345, 1329335, 1339330, 1359320, 1369315, 1389305, 1399300, 1419290, 1429285, 1449275, 1459270, 1479260, 1489255, 1509245, 1519240, 1539230, 1549225, 1569215, 1579210, 1599200, 1609195, 1629185, 1639180, 1659170, 1669165, 1689155, 1699150, 1719140, 1729135, 1749125, 1759120, 1779110, 1789105, 1809095, 1819090, 1839080, 1849075, 1869065, 1879060, 1899050, 1909045, 1929035, 1939030, 1959020, 1969015, 1989005, 1999000 denominator= 6105 numerators:, 1110, 11100, 21090, 31080, 41070, 51060, 71040, 81030, 91020, 101010, 111000 denominator= 6202 numerators:, 2215, 22150, 42085 denominator= 6209 numerators:, 22175, 102005 denominator= 6212 numerators:, 132005 denominator= 6216 numerators:, 2220, 12210, 22200, 32190, 42180, 52170, 72150, 82140, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 6218 numerators:, 202085 denominator= 6220 numerators:, 132175, 202150, 272125, 412075, 482050, 552025 denominator= 6222 numerators:, 202215, 482205, 762195, 1042185, 1322175, 1602165, 1882155, 2162145, 2442135, 2722125, 3002115, 3282105, 3562095, 3842085, 4122075, 4402065, 4682055, 4962045, 5242035, 5522025, 5802015, 6082005 denominator= 6308 numerators:, 3320, 13280, 23240, 33200, 43160, 53120, 73040, 83000 denominator= 6327 numerators:, 3330, 13320, 23310, 33300, 43290, 53280, 73260, 83250, 93240, 103230, 113220, 123210, 133200, 143190, 153180, 163170, 173160, 183150, 193140, 203130, 213120, 223110, 233100, 243090, 263070, 273060, 283050, 293040, 303030, 313020, 323010, 333000 denominator= 6409 numerators:, 4420, 14365, 24310, 34255, 44200, 54145, 74035 denominator= 6438 numerators:, 4440, 14430, 24420, 34410, 44400, 54390, 74370, 84360, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 6549 numerators:, 5550, 15540, 25530, 35520, 45510, 55500, 75480, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 6600 numerators:, 16500, 36300, 56100 denominator= 6602 numerators:, 16505, 36311, 56117 denominator= 6604 numerators:, 16510, 36322, 56134 denominator= 6606 numerators:, 16515, 36333, 56151 denominator= 6608 numerators:, 16520, 36344, 56168 denominator= 6610 numerators:, 16525, 36355, 56185, 76015 denominator= 6612 numerators:, 16530, 36366, 56202, 76038 denominator= 6614 numerators:, 16535, 36377, 56219, 76061 denominator= 6616 numerators:, 16540, 36388, 56236, 76084 denominator= 6618 numerators:, 16545, 36399, 56253, 76107 denominator= 6620 numerators:, 16550, 36410, 56270, 76130 denominator= 6622 numerators:, 16555, 36421, 56287, 76153, 96019 denominator= 6624 numerators:, 16560, 36432, 56304, 76176, 96048 denominator= 6626 numerators:, 16565, 36443, 56321, 76199, 96077 denominator= 6628 numerators:, 16570, 36454, 56338, 76222, 96106 denominator= 6630 numerators:, 16575, 36465, 56355, 76245, 96135, 116025 denominator= 6632 numerators:, 16580, 36476, 56372, 76268, 96164, 116060 denominator= 6634 numerators:, 16585, 36487, 56389, 76291, 96193, 116095 denominator= 6636 numerators:, 16590, 36498, 56406, 76314, 96222, 116130, 136038 denominator= 6638 numerators:, 16595, 36509, 56423, 76337, 96251, 116165, 136079 denominator= 6640 numerators:, 16600, 36520, 56440, 76360, 96280, 116200, 136120, 156040 denominator= 6642 numerators:, 16605, 36531, 56457, 76383, 96309, 116235, 136161, 156087, 176013 denominator= 6644 numerators:, 16610, 36542, 56474, 76406, 96338, 116270, 136202, 156134, 176066 denominator= 6646 numerators:, 16615, 36553, 56491, 76429, 96367, 116305, 136243, 156181, 176119, 196057 denominator= 6648 numerators:, 16620, 36564, 56508, 76452, 96396, 116340, 136284, 156228, 176172, 196116, 216060, 236004 denominator= 6650 numerators:, 16625, 36575, 56525, 76475, 96425, 116375, 136325, 156275, 176225, 196175, 216125, 236075, 256025 denominator= 6652 numerators:, 16630, 36586, 56542, 76498, 96454, 116410, 136366, 156322, 176278, 196234, 216190, 236146, 256102, 276058, 296014 denominator= 6654 numerators:, 16635, 36597, 56559, 76521, 96483, 116445, 136407, 156369, 176331, 196293, 216255, 236217, 256179, 276141, 296103, 316065, 336027 denominator= 6656 numerators:, 16640, 36608, 56576, 76544, 96512, 116480, 136448, 156416, 176384, 196352, 216320, 236288, 256256, 276224, 296192, 316160, 336128, 356096, 376064, 396032, 416000 denominator= 6658 numerators:, 16645, 36619, 56593, 76567, 96541, 116515, 136489, 156463, 176437, 196411, 216385, 236359, 256333, 276307, 296281, 316255, 336229, 356203, 376177, 396151, 416125, 436099, 456073, 476047, 496021 denominator= 6660 numerators:, 16650, 36630, 56610, 76590, 96570, 116550, 136530, 156510, 176490, 196470, 216450, 236430, 256410, 276390, 296370, 316350, 336330, 356310, 376290, 396270, 416250, 436230, 456210, 476190, 496170, 516150, 536130, 556110, 576090, 596070, 616050, 636030, 656010 denominator= 6662 numerators:, 16655, 36641, 56627, 76613, 96599, 116585, 136571, 156557, 176543, 196529, 216515, 236501, 256487, 276473, 296459, 316445, 336431, 356417, 376403, 396389, 416375, 436361, 456347, 476333, 496319, 516305, 536291, 556277, 576263, 596249, 616235, 636221, 656207, 676193, 696179, 716165, 736151, 756137, 776123, 796109, 816095, 836081, 856067, 876053, 896039, 916025, 936011 denominator= 6664 numerators:, 16660, 36652, 56644, 76636, 96628, 116620, 136612, 156604, 176596, 196588, 216580, 236572, 256564, 276556, 296548, 316540, 336532, 356524, 376516, 396508, 416500, 436492, 456484, 476476, 496468, 516460, 536452, 556444, 576436, 596428, 616420, 636412, 656404, 676396, 696388, 716380, 736372, 756364, 776356, 796348, 816340, 836332, 856324, 876316, 896308, 916300, 936292, 956284, 976276, 996268, 1016260, 1036252, 1056244, 1076236, 1096228, 1116220, 1136212, 1156204, 1176196, 1196188, 1216180, 1236172, 1256164, 1276156, 1296148, 1316140, 1336132, 1356124, 1376116, 1396108, 1416100, 1436092, 1456084, 1476076, 1496068, 1516060, 1536052, 1556044, 1576036, 1596028, 1616020, 1636012, 1656004 denominator= 6710 numerators:, 7700, 17600, 27500, 37400, 47300, 57200, 77000 denominator= 6771 numerators:, 7770, 17760, 27750, 37740, 47730, 57720, 77700, 87690, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 6820 numerators:, 8800, 18700, 28600, 38500, 48400, 58300, 78100, 88000 denominator= 6851 numerators:, 8840, 18785, 28730, 38675, 48620, 58565, 78455, 88400, 98345, 108290, 118235, 128180, 138125, 148070, 158015 denominator= 6882 numerators:, 8880, 18870, 28860, 38850, 48840, 58830, 78810, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 6902 numerators:, 9860, 19720, 29580, 39440, 49300, 59160 denominator= 6909 numerators:, 9870, 19740, 29610, 39480, 49350, 59220 denominator= 6916 numerators:, 9880, 19760, 29640, 39520, 49400, 59280, 79040 denominator= 6923 numerators:, 9890, 19780, 29670, 39560, 49450, 59340, 79120, 89010 denominator= 6930 numerators:, 9900, 19800, 29700, 39600, 49500, 59400, 79200, 89100, 99000 denominator= 6937 numerators:, 9910, 19820, 29730, 39640, 49550, 59460, 79280, 89190, 99100, 109010 denominator= 6944 numerators:, 9920, 19840, 29760, 39680, 49600, 59520, 79360, 89280, 99200, 109120, 119040 denominator= 6951 numerators:, 9930, 19860, 29790, 39720, 49650, 59580, 79440, 89370, 99300, 109230, 119160, 129090 denominator= 6958 numerators:, 9940, 19880, 29820, 39760, 49700, 59640, 79520, 89460, 99400, 109340, 119280, 129220, 149100, 159040 denominator= 6965 numerators:, 9950, 19900, 29850, 39800, 49750, 59700, 79600, 89550, 99500, 109450, 119400, 129350, 149250, 159200, 169150, 179100, 189050, 199000 denominator= 6972 numerators:, 9960, 19920, 29880, 39840, 49800, 59760, 79680, 89640, 99600, 109560, 119520, 129480, 149400, 159360, 169320, 179280, 189240, 199200, 219120, 229080, 239040, 249000 denominator= 6979 numerators:, 9970, 19940, 29910, 39880, 49850, 59820, 79760, 89730, 99700, 109670, 119640, 129610, 149550, 159520, 169490, 179460, 189430, 199400, 219340, 229310, 239280, 249250, 259220, 269190, 289130, 299100, 309070, 319040, 329010 denominator= 6986 numerators:, 9980, 19960, 29940, 39920, 49900, 59880, 79840, 89820, 99800, 109780, 119760, 129740, 149700, 159680, 169660, 179640, 189620, 199600, 219560, 229540, 239520, 249500, 259480, 269460, 289420, 299400, 309380, 319360, 329340, 339320, 359280, 369260, 379240, 389220, 399200, 409180, 429140, 439120, 449100, 459080, 469060, 479040, 499000 denominator= 6993 numerators:, 9990, 19980, 29970, 39960, 49950, 59940, 79920, 89910, 99900, 109890, 119880, 129870, 149850, 159840, 169830, 179820, 189810, 199800, 219780, 229770, 239760, 249750, 259740, 269730, 289710, 299700, 309690, 319680, 329670, 339660, 359640, 369630, 379620, 389610, 399600, 409590, 429570, 439560, 449550, 459540, 469530, 479520, 499500, 509490, 519480, 529470, 539460, 549450, 569430, 579420, 589410, 599400, 609390, 619380, 639360, 649350, 659340, 669330, 679320, 689310, 709290, 719280, 729270, 739260, 749250, 759240, 779220, 789210, 799200, 809190, 819180, 829170, 849150, 859140, 869130, 879120, 889110, 899100, 919080, 929070, 939060, 949050, 959040, 969030, 989010, 999000 denominator= 7104 numerators:, 1110, 11100, 21090, 31080, 41070, 51060, 61050, 81030, 91020, 101010, 111000 denominator= 7108 numerators:, 151045, 231010 denominator= 7110 numerators:, 231075, 551025 denominator= 7202 numerators:, 2216, 12188, 22160, 32132, 42104, 52076, 62048 denominator= 7215 numerators:, 2220, 12210, 22200, 32190, 42180, 52170, 62160, 82140, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 212010, 222000 denominator= 7304 numerators:, 3320, 13280, 23240, 33200, 43160, 53120, 63080, 83000 denominator= 7315 numerators:, 3325, 13300, 23275, 33250, 43225, 53200, 63175, 83125, 93100, 103075, 113050, 123025, 133000 denominator= 7326 numerators:, 3330, 13320, 23310, 33300, 43290, 53280, 63270, 83250, 93240, 103230, 113220, 123210, 133200, 143190, 153180, 163170, 173160, 193140, 203130, 213120, 223110, 233100, 243090, 253080, 263070, 273060, 283050, 303030, 313020, 323010, 333000 denominator= 7437 numerators:, 4440, 14430, 24420, 34410, 44400, 54390, 64380, 84360, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 7514 numerators:, 5525, 15470, 25415, 35360, 45305, 55250, 65195, 85085, 95030 denominator= 7531 numerators:, 15505, 35440, 55375, 95245, 115180, 135115, 155050 denominator= 7540 numerators:, 245050 denominator= 7542 numerators:, 245115 denominator= 7544 numerators:, 245180 denominator= 7546 numerators:, 245245 denominator= 7548 numerators:, 5550, 15540, 25530, 35520, 45510, 55500, 65490, 85470, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 7550 numerators:, 245375, 585125 denominator= 7552 numerators:, 245440, 585280, 925120 denominator= 7554 numerators:, 245505, 585435, 925365, 1265295, 1605225, 1945155, 2285085, 2625015 denominator= 7613 numerators:, 6620, 16550, 26480, 36410, 46340, 56270, 66200, 86060 denominator= 7636 numerators:, 6640, 16600, 26560, 36520, 46480, 56440, 66400, 86320, 96280, 106240, 116200, 126160, 136120, 146080, 156040, 166000 denominator= 7659 numerators:, 6660, 16650, 26640, 36630, 46620, 56610, 66600, 86580, 96570, 106560, 116550, 126540, 136530, 146520, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 226440, 236430, 246420, 256410, 266400, 276390, 286380, 296370, 316350, 326340, 336330, 346320, 356310, 366300, 376290, 386280, 396270, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 476190, 486180, 496170, 506160, 516150, 526140, 546120, 556110, 566100, 576090, 586080, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 7700 numerators:, 17600, 27500, 37400, 47300, 57200, 67100 denominator= 7707 numerators:, 17616, 27525, 37434, 47343, 57252, 67161 denominator= 7714 numerators:, 17632, 27550, 37468, 47386, 57304, 67222, 87058 denominator= 7721 numerators:, 17648, 27575, 37502, 47429, 57356, 67283, 87137, 97064 denominator= 7728 numerators:, 17664, 27600, 37536, 47472, 57408, 67344, 87216, 97152, 107088, 117024 denominator= 7735 numerators:, 17680, 27625, 37570, 47515, 57460, 67405, 87295, 97240, 107185, 117130, 127075, 137020 denominator= 7742 numerators:, 17696, 27650, 37604, 47558, 57512, 67466, 87374, 97328, 107282, 117236, 127190, 137144, 157052, 167006 denominator= 7749 numerators:, 17712, 27675, 37638, 47601, 57564, 67527, 87453, 97416, 107379, 117342, 127305, 137268, 157194, 167157, 177120, 187083, 197046, 207009 denominator= 7756 numerators:, 17728, 27700, 37672, 47644, 57616, 67588, 87532, 97504, 107476, 117448, 127420, 137392, 157336, 167308, 177280, 187252, 197224, 207196, 227140, 237112, 247084, 257056, 267028, 277000 denominator= 7763 numerators:, 17744, 27725, 37706, 47687, 57668, 67649, 87611, 97592, 107573, 117554, 127535, 137516, 157478, 167459, 177440, 187421, 197402, 207383, 227345, 237326, 247307, 257288, 267269, 277250, 297212, 307193, 317174, 327155, 337136, 347117, 367079, 377060, 387041, 397022, 407003 denominator= 7770 numerators:, 17760, 27750, 37740, 47730, 57720, 67710, 87690, 97680, 107670, 117660, 127650, 137640, 157620, 167610, 177600, 187590, 197580, 207570, 227550, 237540, 247530, 257520, 267510, 277500, 297480, 307470, 317460, 327450, 337440, 347430, 367410, 377400, 387390, 397380, 407370, 417360, 437340, 447330, 457320, 467310, 477300, 487290, 507270, 517260, 527250, 537240, 547230, 557220, 577200, 587190, 597180, 607170, 617160, 627150, 647130, 657120, 667110, 677100, 687090, 697080, 717060, 727050, 737040, 747030, 757020, 767010 denominator= 7810 numerators:, 8800, 18700, 28600, 38500, 48400, 58300, 68200, 88000 denominator= 7881 numerators:, 8880, 18870, 28860, 38850, 48840, 58830, 68820, 88800, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 denominator= 7900 numerators:, 9875, 19750, 29625, 49375, 59250, 69125 denominator= 7902 numerators:, 19755, 59265 denominator= 7904 numerators:, 9880, 19760, 29640, 49400, 59280, 69160 denominator= 7906 numerators:, 19765, 59295 denominator= 7908 numerators:, 9885, 19770, 29655, 49425, 59310, 69195 denominator= 7910 numerators:, 19775, 59325 denominator= 7912 numerators:, 9890, 19780, 29670, 49450, 59340, 69230, 89010 denominator= 7914 numerators:, 19785, 59355 denominator= 7916 numerators:, 9895, 19790, 29685, 49475, 59370, 69265, 89055 denominator= 7918 numerators:, 19795, 59385 denominator= 7920 numerators:, 9900, 19800, 29700, 49500, 59400, 69300, 89100, 99000 denominator= 7922 numerators:, 19805, 59415, 99025 denominator= 7924 numerators:, 9905, 19810, 29715, 49525, 59430, 69335, 89145, 99050 denominator= 7926 numerators:, 19815, 59445, 99075 denominator= 7928 numerators:, 9910, 19820, 29730, 49550, 59460, 69370, 89190, 99100, 109010 denominator= 7930 numerators:, 19825, 59475, 99125 denominator= 7932 numerators:, 9915, 19830, 29745, 49575, 59490, 69405, 89235, 99150, 109065 denominator= 7934 numerators:, 19835, 59505, 99175 denominator= 7936 numerators:, 9920, 19840, 29760, 49600, 59520, 69440, 89280, 99200, 109120 denominator= 7938 numerators:, 19845, 59535, 99225 denominator= 7940 numerators:, 9925, 19850, 29775, 49625, 59550, 69475, 89325, 99250, 109175, 129025 denominator= 7942 numerators:, 19855, 59565, 99275 denominator= 7944 numerators:, 9930, 19860, 29790, 49650, 59580, 69510, 89370, 99300, 109230, 129090, 139020 denominator= 7946 numerators:, 19865, 59595, 99325, 139055 denominator= 7948 numerators:, 9935, 19870, 29805, 49675, 59610, 69545, 89415, 99350, 109285, 129155, 139090, 149025 denominator= 7950 numerators:, 19875, 59625, 99375, 139125 denominator= 7952 numerators:, 9940, 19880, 29820, 49700, 59640, 69580, 89460, 99400, 109340, 129220, 139160, 149100 denominator= 7954 numerators:, 19885, 59655, 99425, 139195 denominator= 7956 numerators:, 9945, 19890, 29835, 49725, 59670, 69615, 89505, 99450, 109395, 129285, 139230, 149175, 169065, 179010 denominator= 7958 numerators:, 19895, 59685, 99475, 139265, 179055 denominator= 7960 numerators:, 9950, 19900, 29850, 49750, 59700, 69650, 89550, 99500, 109450, 129350, 139300, 149250, 169150, 179100, 189050 denominator= 7962 numerators:, 19905, 59715, 99525, 139335, 179145 denominator= 7964 numerators:, 9955, 19910, 29865, 49775, 59730, 69685, 89595, 99550, 109505, 129415, 139370, 149325, 169235, 179190, 189145, 209055, 219010 denominator= 7966 numerators:, 19915, 59745, 99575, 139405, 179235, 219065 denominator= 7968 numerators:, 9960, 19920, 29880, 49800, 59760, 69720, 89640, 99600, 109560, 129480, 139440, 149400, 169320, 179280, 189240, 209160, 219120, 229080, 249000 denominator= 7970 numerators:, 19925, 59775, 99625, 139475, 179325, 219175, 259025 denominator= 7972 numerators:, 9965, 19930, 29895, 49825, 59790, 69755, 89685, 99650, 109615, 129545, 139510, 149475, 169405, 179370, 189335, 209265, 219230, 229195, 249125, 259090, 269055 denominator= 7974 numerators:, 19935, 59805, 99675, 139545, 179415, 219285, 259155, 299025 denominator= 7976 numerators:, 9970, 19940, 29910, 49850, 59820, 69790, 89730, 99700, 109670, 129610, 139580, 149550, 169490, 179460, 189430, 209370, 219340, 229310, 249250, 259220, 269190, 289130, 299100, 309070, 329010 denominator= 7978 numerators:, 19945, 59835, 99725, 139615, 179505, 219395, 259285, 299175, 339065 denominator= 7980 numerators:, 9975, 19950, 29925, 49875, 59850, 69825, 89775, 99750, 109725, 129675, 139650, 149625, 169575, 179550, 189525, 209475, 219450, 229425, 249375, 259350, 269325, 289275, 299250, 309225, 329175, 339150, 349125, 369075, 379050, 389025 denominator= 7982 numerators:, 19955, 59865, 99775, 139685, 179595, 219505, 259415, 299325, 339235, 379145, 419055 denominator= 7984 numerators:, 9980, 19960, 29940, 49900, 59880, 69860, 89820, 99800, 109780, 129740, 139720, 149700, 169660, 179640, 189620, 209580, 219560, 229540, 249500, 259480, 269460, 289420, 299400, 309380, 329340, 339320, 349300, 369260, 379240, 389220, 409180, 419160, 429140, 449100, 459080, 469060, 489020, 499000 denominator= 7986 numerators:, 19965, 59895, 99825, 139755, 179685, 219615, 259545, 299475, 339405, 379335, 419265, 459195, 499125, 539055 denominator= 7988 numerators:, 9985, 19970, 29955, 49925, 59910, 69895, 89865, 99850, 109835, 129805, 139790, 149775, 169745, 179730, 189715, 209685, 219670, 229655, 249625, 259610, 269595, 289565, 299550, 309535, 329505, 339490, 349475, 369445, 379430, 389415, 409385, 419370, 429355, 449325, 459310, 469295, 489265, 499250, 509235, 529205, 539190, 549175, 569145, 579130, 589115, 609085, 619070, 629055, 649025, 659010 denominator= 7990 numerators:, 19975, 59925, 99875, 139825, 179775, 219725, 259675, 299625, 339575, 379525, 419475, 459425, 499375, 539325, 579275, 619225, 659175, 699125, 739075, 779025 denominator= 7992 numerators:, 9990, 19980, 29970, 49950, 59940, 69930, 89910, 99900, 109890, 129870, 139860, 149850, 169830, 179820, 189810, 209790, 219780, 229770, 249750, 259740, 269730, 289710, 299700, 309690, 329670, 339660, 349650, 369630, 379620, 389610, 409590, 419580, 429570, 449550, 459540, 469530, 489510, 499500, 509490, 529470, 539460, 549450, 569430, 579420, 589410, 609390, 619380, 629370, 649350, 659340, 669330, 689310, 699300, 709290, 729270, 739260, 749250, 769230, 779220, 789210, 809190, 819180, 829170, 849150, 859140, 869130, 889110, 899100, 909090, 929070, 939060, 949050, 969030, 979020, 989010 denominator= 7994 numerators:, 19985, 59955, 99925, 139895, 179865, 219835, 259805, 299775, 339745, 379715, 419685, 459655, 499625, 539595, 579565, 619535, 659505, 699475, 739445, 779415, 819385, 859355, 899325, 939295, 979265, 1019235, 1059205, 1099175, 1139145, 1179115, 1219085, 1259055, 1299025 denominator= 7996 numerators:, 9995, 19990, 29985, 49975, 59970, 69965, 89955, 99950, 109945, 129935, 139930, 149925, 169915, 179910, 189905, 209895, 219890, 229885, 249875, 259870, 269865, 289855, 299850, 309845, 329835, 339830, 349825, 369815, 379810, 389805, 409795, 419790, 429785, 449775, 459770, 469765, 489755, 499750, 509745, 529735, 539730, 549725, 569715, 579710, 589705, 609695, 619690, 629685, 649675, 659670, 669665, 689655, 699650, 709645, 729635, 739630, 749625, 769615, 779610, 789605, 809595, 819590, 829585, 849575, 859570, 869565, 889555, 899550, 909545, 929535, 939530, 949525, 969515, 979510, 989505, 1009495, 1019490, 1029485, 1049475, 1059470, 1069465, 1089455, 1099450, 1109445, 1129435, 1139430, 1149425, 1169415, 1179410, 1189405, 1209395, 1219390, 1229385, 1249375, 1259370, 1269365, 1289355, 1299350, 1309345, 1329335, 1339330, 1349325, 1369315, 1379310, 1389305, 1409295, 1419290, 1429285, 1449275, 1459270, 1469265, 1489255, 1499250, 1509245, 1529235, 1539230, 1549225, 1569215, 1579210, 1589205, 1609195, 1619190, 1629185, 1649175, 1659170, 1669165, 1689155, 1699150, 1709145, 1729135, 1739130, 1749125, 1769115, 1779110, 1789105, 1809095, 1819090, 1829085, 1849075, 1859070, 1869065, 1889055, 1899050, 1909045, 1929035, 1939030, 1949025, 1969015, 1979010, 1989005 denominator= 7998 numerators:, 19995, 59985, 99975, 139965, 179955, 219945, 259935, 299925, 339915, 379905, 419895, 459885, 499875, 539865, 579855, 619845, 659835, 699825, 739815, 779805, 819795, 859785, 899775, 939765, 979755, 1019745, 1059735, 1099725, 1139715, 1179705, 1219695, 1259685, 1299675, 1339665, 1379655, 1419645, 1459635, 1499625, 1539615, 1579605, 1619595, 1659585, 1699575, 1739565, 1779555, 1819545, 1859535, 1899525, 1939515, 1979505, 2019495, 2059485, 2099475, 2139465, 2179455, 2219445, 2259435, 2299425, 2339415, 2379405, 2419395, 2459385, 2499375, 2539365, 2579355, 2619345, 2659335, 2699325, 2739315, 2779305, 2819295, 2859285, 2899275, 2939265, 2979255, 3019245, 3059235, 3099225, 3139215, 3179205, 3219195, 3259185, 3299175, 3339165, 3379155, 3419145, 3459135, 3499125, 3539115, 3579105, 3619095, 3659085, 3699075, 3739065, 3779055, 3819045, 3859035, 3899025, 3939015, 3979005 denominator= 8103 numerators:, 1110, 11100, 21090, 31080, 41070, 51060, 61050, 71040, 91020, 101010, 111000 denominator= 8214 numerators:, 2220, 12210, 22200, 32190, 42180, 52170, 62160, 72150, 92130, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 8300 numerators:, 3320, 13280, 23240, 43160, 53120, 63080, 73040 denominator= 8305 numerators:, 3322, 13288, 23254, 43186, 53152, 63118, 73084, 93016 denominator= 8310 numerators:, 3324, 13296, 23268, 43212, 53184, 63156, 73128, 93072, 103044, 113016 denominator= 8315 numerators:, 3326, 13304, 23282, 43238, 53216, 63194, 73172, 93128, 103106, 113084, 123062, 143018 denominator= 8320 numerators:, 3328, 13312, 23296, 43264, 53248, 63232, 73216, 93184, 103168, 113152, 123136, 143104, 153088, 163072, 173056, 193024, 203008 denominator= 8325 numerators:, 3330, 13320, 23310, 43290, 53280, 63270, 73260, 93240, 103230, 113220, 123210, 143190, 153180, 163170, 173160, 193140, 203130, 213120, 223110, 243090, 253080, 263070, 273060, 293040, 303030, 313020, 323010 denominator= 8330 numerators:, 3332, 13328, 23324, 43316, 53312, 63308, 73304, 93296, 103292, 113288, 123284, 143276, 153272, 163268, 173264, 193256, 203252, 213248, 223244, 243236, 253232, 263228, 273224, 293216, 303212, 313208, 323204, 343196, 353192, 363188, 373184, 393176, 403172, 413168, 423164, 443156, 453152, 463148, 473144, 493136, 503132, 513128, 523124, 543116, 553112, 563108, 573104, 593096, 603092, 613088, 623084, 643076, 653072, 663068, 673064, 693056, 703052, 713048, 723044, 743036, 753032, 763028, 773024, 793016, 803012, 813008, 823004 denominator= 8417 numerators:, 4430, 24365, 44300, 64235, 104105, 124040 denominator= 8432 numerators:, 274040 denominator= 8434 numerators:, 274105 denominator= 8436 numerators:, 4440, 14430, 24420, 34410, 44400, 54390, 64380, 74370, 94350, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 264180, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 434010, 444000 denominator= 8438 numerators:, 274235 denominator= 8440 numerators:, 274300, 654100 denominator= 8442 numerators:, 274365, 654255, 1034145, 1414035 denominator= 8444 numerators:, 274430, 654410, 1034390, 1414370, 1794350, 2174330, 2554310, 2934290, 3314270, 3694250, 4074230, 4454210, 4834190, 5214170, 5594150, 5974130, 6354110, 6734090, 7114070, 7494050, 7874030, 8254010 denominator= 8503 numerators:, 15460 denominator= 8514 numerators:, 15480 denominator= 8525 numerators:, 15500, 155000 denominator= 8533 numerators:, 195040 denominator= 8536 numerators:, 15520, 155200, 225040 denominator= 8540 numerators:, 195200, 305000 denominator= 8547 numerators:, 5550, 15540, 25530, 35520, 45510, 55500, 65490, 75480, 95460, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 515040, 525030, 535020, 545010, 555000 denominator= 8554 numerators:, 195520, 305500, 415480, 525460, 635440, 745420, 965380, 1075360, 1185340, 1295320, 1405300, 1515280, 1735240, 1845220, 1955200, 2065180, 2175160, 2285140, 2505100, 2615080, 2725060, 2835040, 2945020, 3055000 denominator= 8606 numerators:, 6620, 16550, 26480, 36410, 46340, 56270, 66200, 76130 denominator= 8619 numerators:, 6630, 16575, 26520, 36465, 46410, 56355, 66300, 76245, 96135, 106080, 116025 denominator= 8632 numerators:, 6640, 16600, 26560, 36520, 46480, 56440, 66400, 76360, 96280, 106240, 116200, 126160, 136120, 146080, 156040, 166000 denominator= 8645 numerators:, 6650, 16625, 26600, 36575, 46550, 56525, 66500, 76475, 96425, 106400, 116375, 126350, 136325, 146300, 156275, 166250, 176225, 186200, 196175, 206150, 226100, 236075, 246050, 256025, 266000 denominator= 8658 numerators:, 6660, 16650, 26640, 36630, 46620, 56610, 66600, 76590, 96570, 106560, 116550, 126540, 136530, 146520, 156510, 166500, 176490, 186480, 196470, 206460, 226440, 236430, 246420, 256410, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 356310, 366300, 376290, 386280, 396270, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 566100, 576090, 586080, 596070, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 8769 numerators:, 7770, 17760, 27750, 37740, 47730, 57720, 67710, 77700, 97680, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 537240, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 8800 numerators:, 18700, 28600, 38500, 48400, 58300, 68200, 78100 denominator= 8802 numerators:, 48411 denominator= 8804 numerators:, 28613, 48422, 68231 denominator= 8806 numerators:, 48433 denominator= 8808 numerators:, 18717, 28626, 38535, 48444, 58353, 68262, 78171 denominator= 8810 numerators:, 48455 denominator= 8812 numerators:, 28639, 48466, 68293 denominator= 8814 numerators:, 48477 denominator= 8816 numerators:, 18734, 28652, 38570, 48488, 58406, 68324, 78242, 98078 denominator= 8818 numerators:, 48499 denominator= 8820 numerators:, 28665, 48510, 68355, 108045 denominator= 8822 numerators:, 48521 denominator= 8824 numerators:, 18751, 28678, 38605, 48532, 58459, 68386, 78313, 98167, 108094, 118021 denominator= 8826 numerators:, 48543 denominator= 8828 numerators:, 28691, 48554, 68417, 108143, 128006 denominator= 8830 numerators:, 48565, 128035 denominator= 8832 numerators:, 18768, 28704, 38640, 48576, 58512, 68448, 78384, 98256, 108192, 118128, 128064, 138000 denominator= 8834 numerators:, 48587, 128093 denominator= 8836 numerators:, 28717, 48598, 68479, 108241, 128122, 148003 denominator= 8838 numerators:, 48609, 128151 denominator= 8840 numerators:, 18785, 28730, 38675, 48620, 58565, 68510, 78455, 98345, 108290, 118235, 128180, 138125, 148070, 158015 denominator= 8842 numerators:, 48631, 128209 denominator= 8844 numerators:, 28743, 48642, 68541, 108339, 128238, 148137 denominator= 8846 numerators:, 48653, 128267 denominator= 8848 numerators:, 18802, 28756, 38710, 48664, 58618, 68572, 78526, 98434, 108388, 118342, 128296, 138250, 148204, 158158, 178066, 188020 denominator= 8850 numerators:, 48675, 128325 denominator= 8852 numerators:, 28769, 48686, 68603, 108437, 128354, 148271, 188105, 208022 denominator= 8854 numerators:, 48697, 128383, 208069 denominator= 8856 numerators:, 18819, 28782, 38745, 48708, 58671, 68634, 78597, 98523, 108486, 118449, 128412, 138375, 148338, 158301, 178227, 188190, 198153, 208116, 218079, 228042, 238005 denominator= 8858 numerators:, 48719, 128441, 208163 denominator= 8860 numerators:, 28795, 48730, 68665, 108535, 128470, 148405, 188275, 208210, 228145, 268015 denominator= 8862 numerators:, 48741, 128499, 208257, 288015 denominator= 8864 numerators:, 18836, 28808, 38780, 48752, 58724, 68696, 78668, 98612, 108584, 118556, 128528, 138500, 148472, 158444, 178388, 188360, 198332, 208304, 218276, 228248, 238220, 258164, 268136, 278108, 288080, 298052, 308024 denominator= 8866 numerators:, 48763, 128557, 208351, 288145 denominator= 8868 numerators:, 28821, 48774, 68727, 108633, 128586, 148539, 188445, 208398, 228351, 268257, 288210, 308163, 348069, 368022 denominator= 8870 numerators:, 48785, 128615, 208445, 288275, 368105 denominator= 8872 numerators:, 18853, 28834, 38815, 48796, 58777, 68758, 78739, 98701, 108682, 118663, 128644, 138625, 148606, 158587, 178549, 188530, 198511, 208492, 218473, 228454, 238435, 258397, 268378, 278359, 288340, 298321, 308302, 318283, 338245, 348226, 358207, 368188, 378169, 388150, 398131, 418093, 428074, 438055, 448036, 458017 denominator= 8874 numerators:, 48807, 128673, 208539, 288405, 368271, 448137, 528003 denominator= 8876 numerators:, 28847, 48818, 68789, 108731, 128702, 148673, 188615, 208586, 228557, 268499, 288470, 308441, 348383, 368354, 388325, 428267, 448238, 468209, 508151, 528122, 548093, 588035, 608006 denominator= 8878 numerators:, 48829, 128731, 208633, 288535, 368437, 448339, 528241, 608143, 688045 denominator= 8880 numerators:, 18870, 28860, 38850, 48840, 58830, 68820, 78810, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 878010 denominator= 8882 numerators:, 48851, 128789, 208727, 288665, 368603, 448541, 528479, 608417, 688355, 768293, 848231, 928169, 1008107, 1088045 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807, 188785, 208774, 228763, 268741, 288730, 308719, 348697, 368686, 388675, 428653, 448642, 468631, 508609, 528598, 548587, 588565, 608554, 628543, 668521, 688510, 708499, 748477, 768466, 788455, 828433, 848422, 868411, 908389, 928378, 948367, 988345, 1008334, 1028323, 1068301, 1088290, 1108279, 1148257, 1168246, 1188235, 1228213, 1248202, 1268191, 1308169, 1328158, 1348147, 1388125, 1408114, 1428103, 1468081, 1488070, 1508059, 1548037, 1568026, 1588015 denominator= 8886 numerators:, 48873, 128847, 208821, 288795, 368769, 448743, 528717, 608691, 688665, 768639, 848613, 928587, 1008561, 1088535, 1168509, 1248483, 1328457, 1408431, 1488405, 1568379, 1648353, 1728327, 1808301, 1888275, 1968249, 2048223, 2128197, 2208171, 2288145, 2368119, 2448093, 2528067, 2608041, 2688015 denominator= 8901 numerators:, 9890, 19780, 29670, 39560, 49450, 59340, 69230, 79120 denominator= 8904 numerators:, 29680, 59360 denominator= 8907 numerators:, 29690, 59380 denominator= 8910 numerators:, 9900, 19800, 29700, 39600, 49500, 59400, 69300, 79200, 99000 denominator= 8913 numerators:, 29710, 59420 denominator= 8916 numerators:, 29720, 59440 denominator= 8919 numerators:, 9910, 19820, 29730, 39640, 49550, 59460, 69370, 79280, 99100, 109010 denominator= 8922 numerators:, 29740, 59480 denominator= 8925 numerators:, 29750, 59500, 119000 denominator= 8928 numerators:, 9920, 19840, 29760, 39680, 49600, 59520, 69440, 79360, 99200, 109120, 119040 denominator= 8931 numerators:, 29770, 59540, 119080 denominator= 8934 numerators:, 29780, 59560, 119120 denominator= 8937 numerators:, 9930, 19860, 29790, 39720, 49650, 59580, 69510, 79440, 99300, 109230, 119160, 129090, 139020 denominator= 8940 numerators:, 29800, 59600, 119200, 149000 denominator= 8943 numerators:, 29810, 59620, 119240, 149050 denominator= 8946 numerators:, 9940, 19880, 29820, 39760, 49700, 59640, 69580, 79520, 99400, 109340, 119280, 129220, 139160, 149100, 159040 denominator= 8949 numerators:, 29830, 59660, 119320, 149150 denominator= 8952 numerators:, 29840, 59680, 119360, 149200 denominator= 8955 numerators:, 9950, 19900, 29850, 39800, 49750, 59700, 69650, 79600, 99500, 109450, 119400, 129350, 139300, 149250, 159200, 169150, 189050, 199000 denominator= 8958 numerators:, 29860, 59720, 119440, 149300, 209020 denominator= 8961 numerators:, 29870, 59740, 119480, 149350, 209090 denominator= 8964 numerators:, 9960, 19920, 29880, 39840, 49800, 59760, 69720, 79680, 99600, 109560, 119520, 129480, 139440, 149400, 159360, 169320, 189240, 199200, 209160, 219120, 229080, 239040, 249000 denominator= 8967 numerators:, 29890, 59780, 119560, 149450, 209230, 239120 denominator= 8970 numerators:, 29900, 59800, 119600, 149500, 209300, 239200, 299000 denominator= 8973 numerators:, 9970, 19940, 29910, 39880, 49850, 59820, 69790, 79760, 99700, 109670, 119640, 129610, 139580, 149550, 159520, 169490, 189430, 199400, 209370, 219340, 229310, 239280, 249250, 259220, 279160, 289130, 299100, 309070, 319040, 329010 denominator= 8976 numerators:, 29920, 59840, 119680, 149600, 209440, 239360, 299200, 329120 denominator= 8979 numerators:, 29930, 59860, 119720, 149650, 209510, 239440, 299300, 329230, 389090, 419020 denominator= 8982 numerators:, 9980, 19960, 29940, 39920, 49900, 59880, 69860, 79840, 99800, 109780, 119760, 129740, 139720, 149700, 159680, 169660, 189620, 199600, 209580, 219560, 229540, 239520, 249500, 259480, 279440, 289420, 299400, 309380, 319360, 329340, 339320, 349300, 369260, 379240, 389220, 399200, 409180, 419160, 429140, 439120, 459080, 469060, 479040, 489020, 499000 denominator= 8985 numerators:, 29950, 59900, 119800, 149750, 209650, 239600, 299500, 329450, 389350, 419300, 479200, 509150, 569050, 599000 denominator= 8988 numerators:, 29960, 59920, 119840, 149800, 209720, 239680, 299600, 329560, 389480, 419440, 479360, 509320, 569240, 599200, 659120, 689080, 749000 denominator= 8991 numerators:, 9990, 19980, 29970, 39960, 49950, 59940, 69930, 79920, 99900, 109890, 119880, 129870, 139860, 149850, 159840, 169830, 189810, 199800, 209790, 219780, 229770, 239760, 249750, 259740, 279720, 289710, 299700, 309690, 319680, 329670, 339660, 349650, 369630, 379620, 389610, 399600, 409590, 419580, 429570, 439560, 459540, 469530, 479520, 489510, 499500, 509490, 519480, 529470, 549450, 559440, 569430, 579420, 589410, 599400, 609390, 619380, 639360, 649350, 659340, 669330, 679320, 689310, 699300, 709290, 729270, 739260, 749250, 759240, 769230, 779220, 789210, 799200, 819180, 829170, 839160, 849150, 859140, 869130, 879120, 889110, 909090, 919080, 929070, 939060, 949050, 959040, 969030, 979020, 999000 denominator= 8994 numerators:, 29980, 59960, 119920, 149900, 209860, 239840, 299800, 329780, 389740, 419720, 479680, 509660, 569620, 599600, 659560, 689540, 749500, 779480, 839440, 869420, 929380, 959360, 1019320, 1049300, 1109260, 1139240, 1199200, 1229180, 1289140, 1319120, 1379080, 1409060, 1469020, 1499000 denominator= 8997 numerators:, 29990, 59980, 119960, 149950, 209930, 239920, 299900, 329890, 389870, 419860, 479840, 509830, 569810, 599800, 659780, 689770, 749750, 779740, 839720, 869710, 929690, 959680, 1019660, 1049650, 1109630, 1139620, 1199600, 1229590, 1289570, 1319560, 1379540, 1409530, 1469510, 1499500, 1559480, 1589470, 1649450, 1679440, 1739420, 1769410, 1829390, 1859380, 1919360, 1949350, 2009330, 2039320, 2099300, 2129290, 2189270, 2219260, 2279240, 2309230, 2369210, 2399200, 2459180, 2489170, 2549150, 2579140, 2639120, 2669110, 2729090, 2759080, 2819060, 2849050, 2909030, 2939020, 2999000 denominator= 9102 numerators:, 1110, 11100, 21090, 31080, 41070, 51060, 61050, 71040, 81030, 101010, 111000 denominator= 9213 numerators:, 2220, 12210, 22200, 32190, 42180, 52170, 62160, 72150, 82140, 102120, 112110, 122100, 132090, 142080, 152070, 162060, 172050, 182040, 192030, 202020, 212010, 222000 denominator= 9300 numerators:, 23250 denominator= 9302 numerators:, 23255 denominator= 9303 numerators:, 13290, 33225, 53160, 73095 denominator= 9304 numerators:, 23260 denominator= 9306 numerators:, 23265 denominator= 9308 numerators:, 23270 denominator= 9310 numerators:, 3325, 13300, 23275, 33250, 43225, 53200, 63175, 73150, 83125, 103075, 113050, 123025, 133000 denominator= 9312 numerators:, 23280 denominator= 9314 numerators:, 23285 denominator= 9316 numerators:, 23290, 163030 denominator= 9317 numerators:, 13310, 33275, 53240, 73205, 113135, 133100, 153065, 173030 denominator= 9318 numerators:, 23295, 163065 denominator= 9320 numerators:, 23300, 163100 denominator= 9322 numerators:, 23305, 163135 denominator= 9324 numerators:, 3330, 13320, 23310, 33300, 43290, 53280, 63270, 73260, 83250, 103230, 113220, 123210, 133200, 143190, 153180, 163170, 173160, 183150, 193140, 203130, 213120, 223110, 243090, 253080, 263070, 273060, 283050, 293040, 303030, 313020, 323010, 333000 denominator= 9326 numerators:, 23315, 163205, 303095 denominator= 9328 numerators:, 23320, 163240, 303160, 443080, 583000 denominator= 9330 numerators:, 23325, 163275, 303225, 443175, 583125, 723075, 863025 denominator= 9331 numerators:, 13330, 33325, 53320, 73315, 113305, 133300, 153295, 173290, 193285, 213280, 253270, 273265, 293260, 313255, 333250, 353245, 393235, 413230, 433225, 453220, 473215, 493210, 533200, 553195, 573190, 593185, 613180, 633175, 673165, 693160, 713155, 733150, 753145, 773140, 813130, 833125, 853120, 873115, 893110, 913105, 953095, 973090, 993085, 1013080, 1033075, 1053070, 1093060, 1113055, 1133050, 1153045, 1173040, 1193035, 1233025, 1253020, 1273015, 1293010, 1313005, 1333000 denominator= 9332 numerators:, 23330, 163310, 303290, 443270, 583250, 723230, 863210, 1003190, 1143170, 1283150, 1423130, 1563110, 1703090, 1843070, 1983050, 2123030, 2263010 denominator= 9401 numerators:, 4424, 14378, 24332, 34286, 44240, 54194, 64148, 74102, 84056 denominator= 9418 numerators:, 4432, 14404, 24376, 34348, 44320, 54292, 64264, 74236, 84208, 104152, 114124, 124096, 134068, 144040, 154012 denominator= 9435 numerators:, 4440, 14430, 24420, 34410, 44400, 54390, 64380, 74370, 84360, 104340, 114330, 124320, 134310, 144300, 154290, 164280, 174270, 184260, 194250, 204240, 214230, 224220, 234210, 244200, 254190, 274170, 284160, 294150, 304140, 314130, 324120, 334110, 344100, 354090, 364080, 374070, 384060, 394050, 404040, 414030, 424020, 444000 denominator= 9503 numerators:, 5525, 15470, 25415, 35360, 45305, 55250, 65195, 75140, 85085 denominator= 9546 numerators:, 5550, 15540, 25530, 35520, 45510, 55500, 65490, 75480, 85470, 105450, 115440, 125430, 135420, 145410, 155400, 165390, 175380, 185370, 195360, 205350, 215340, 225330, 235320, 245310, 255300, 265290, 275280, 285270, 295260, 305250, 315240, 325230, 335220, 345210, 355200, 365190, 375180, 385170, 395160, 405150, 415140, 425130, 435120, 445110, 455100, 465090, 475080, 485070, 495060, 505050, 515040, 535020, 545010, 555000 denominator= 9628 numerators:, 6640, 16600, 26560, 36520, 46480, 56440, 66400, 76360, 86320, 106240, 116200, 126160, 136120, 146080, 156040, 166000 denominator= 9657 numerators:, 6660, 16650, 26640, 36630, 46620, 56610, 66600, 76590, 86580, 106560, 116550, 126540, 136530, 146520, 156510, 166500, 176490, 186480, 196470, 206460, 216450, 226440, 236430, 246420, 256410, 266400, 276390, 286380, 296370, 306360, 316350, 326340, 336330, 346320, 356310, 366300, 376290, 396270, 406260, 416250, 426240, 436230, 446220, 456210, 466200, 476190, 486180, 496170, 506160, 516150, 526140, 536130, 546120, 556110, 566100, 576090, 586080, 596070, 606060, 616050, 626040, 636030, 646020, 656010, 666000 denominator= 9702 numerators:, 17640, 37485, 57330, 77175 denominator= 9713 numerators:, 17660, 57395 denominator= 9724 numerators:, 7735, 17680, 27625, 37570, 47515, 57460, 67405, 77350, 87295, 107185, 117130, 127075, 137020 denominator= 9735 numerators:, 17700, 57525, 137175, 177000 denominator= 9744 numerators:, 207060 denominator= 9746 numerators:, 17720, 37655, 57590, 77525, 117395, 137330, 157265, 177200, 197135, 217070, 237005 denominator= 9748 numerators:, 207145 denominator= 9752 numerators:, 207230 denominator= 9754 numerators:, 317005 denominator= 9756 numerators:, 207315, 317070 denominator= 9757 numerators:, 17740, 57655, 137485, 177400, 217315, 257230, 297145, 337060 denominator= 9758 numerators:, 317135 denominator= 9760 numerators:, 207400, 317200, 427000 denominator= 9762 numerators:, 317265 denominator= 9764 numerators:, 207485, 317330, 427175 denominator= 9766 numerators:, 317395 denominator= 9768 numerators:, 7770, 17760, 27750, 37740, 47730, 57720, 67710, 77700, 87690, 107670, 117660, 127650, 137640, 147630, 157620, 167610, 177600, 187590, 197580, 207570, 217560, 227550, 237540, 247530, 257520, 267510, 277500, 287490, 297480, 307470, 317460, 327450, 337440, 347430, 357420, 367410, 377400, 387390, 397380, 407370, 417360, 427350, 437340, 447330, 457320, 467310, 477300, 487290, 497280, 507270, 517260, 527250, 547230, 557220, 567210, 577200, 587190, 597180, 607170, 617160, 627150, 637140, 647130, 657120, 667110, 677100, 687090, 697080, 707070, 717060, 727050, 737040, 747030, 757020, 767010, 777000 denominator= 9770 numerators:, 317525, 757175 denominator= 9772 numerators:, 207655, 317590, 427525, 647395, 757330, 867265, 1087135, 1197070, 1307005 denominator= 9774 numerators:, 317655, 757485, 1197315, 1637145 denominator= 9776 numerators:, 207740, 317720, 427700, 647660, 757640, 867620, 1087580, 1197560, 1307540, 1527500, 1637480, 1747460, 1967420, 2077400, 2187380, 2407340, 2517320, 2627300, 2847260, 2957240, 3067220, 3287180, 3397160, 3507140, 3727100, 3837080, 3947060, 4167020, 4277000 denominator= 9879 numerators:, 8880, 18870, 28860, 38850, 48840, 58830, 68820, 78810, 88800, 108780, 118770, 128760, 138750, 148740, 158730, 168720, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 248640, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 328560, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 408480, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 488400, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 568320, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 648240, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 728160, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 808080, 818070, 828060, 838050, 848040, 858030, 868020, 878010, 888000 ------------------------------------------------------------------------- Section 13 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 0, -th digit of the numerator is cancelled out with the, 3, -th digit of the denominator denominator= 1100 numerators:, 11 denominator= 1110 numerators:, 111 denominator= 2200 numerators:, 22 denominator= 2220 numerators:, 222 denominator= 3250 numerators:, 13 denominator= 3300 numerators:, 33 denominator= 3320 numerators:, 83 denominator= 3325 numerators:, 133 denominator= 3330 numerators:, 333 denominator= 3332 numerators:, 833 denominator= 4400 numerators:, 44 denominator= 4440 numerators:, 444 denominator= 5500 numerators:, 55 denominator= 5550 numerators:, 555 denominator= 6400 numerators:, 16 denominator= 6500 numerators:, 26 denominator= 6600 numerators:, 66 denominator= 6625 numerators:, 106 denominator= 6640 numerators:, 166 denominator= 6650 numerators:, 266 denominator= 6656 numerators:, 416 denominator= 6660 numerators:, 666 denominator= 6664 numerators:, 1666 denominator= 6665 numerators:, 2666 denominator= 7560 numerators:, 27 denominator= 7700 numerators:, 77 denominator= 7750 numerators:, 217 denominator= 7756 numerators:, 277 denominator= 7770 numerators:, 777 denominator= 7775 numerators:, 2177 denominator= 8800 numerators:, 88 denominator= 8832 numerators:, 138 denominator= 8875 numerators:, 568 denominator= 8880 numerators:, 888 denominator= 9500 numerators:, 19 denominator= 9750 numerators:, 39 denominator= 9800 numerators:, 49 denominator= 9875 numerators:, 79 denominator= 9900 numerators:, 99 denominator= 9950 numerators:, 199 denominator= 9960 numerators:, 249 denominator= 9975 numerators:, 399 denominator= 9980 numerators:, 499 denominator= 9990 numerators:, 999 denominator= 9992 numerators:, 1249 denominator= 9995 numerators:, 1999 denominator= 9996 numerators:, 2499 denominator= 9998 numerators:, 4999 ------------------------------------------------------------------------- Section 14 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 1, -th digit of the numerator is cancelled out with the, 3, -th digit of the denominator denominator= 1110 numerators:, 111 denominator= 1200 numerators:, 12 denominator= 1300 numerators:, 13 denominator= 1400 numerators:, 14 denominator= 1500 numerators:, 15 denominator= 1600 numerators:, 16 denominator= 1700 numerators:, 17 denominator= 1800 numerators:, 18 denominator= 1900 numerators:, 19 denominator= 2100 numerators:, 21 denominator= 2210 numerators:, 221 denominator= 2220 numerators:, 222, 1221 denominator= 2222 numerators:, 12221 denominator= 2400 numerators:, 24 denominator= 2600 numerators:, 26 denominator= 2800 numerators:, 28 denominator= 3100 numerators:, 31 denominator= 3200 numerators:, 32 denominator= 3250 numerators:, 130 denominator= 3275 numerators:, 131 denominator= 3310 numerators:, 331 denominator= 3320 numerators:, 332, 830 denominator= 3324 numerators:, 831 denominator= 3325 numerators:, 133, 532, 931, 1330 denominator= 3328 numerators:, 832 denominator= 3330 numerators:, 333, 1332, 2331 denominator= 3332 numerators:, 833, 5831, 8330 denominator= 3600 numerators:, 36 denominator= 3700 numerators:, 37 denominator= 3800 numerators:, 38 denominator= 3900 numerators:, 39 denominator= 4100 numerators:, 41 denominator= 4200 numerators:, 42 denominator= 4300 numerators:, 43 denominator= 4410 numerators:, 441 denominator= 4420 numerators:, 442 denominator= 4430 numerators:, 443 denominator= 4440 numerators:, 444, 1443, 2442, 3441 denominator= 4444 numerators:, 14443, 24442, 34441 denominator= 5100 numerators:, 51 denominator= 5200 numerators:, 52 denominator= 5300 numerators:, 53 denominator= 5400 numerators:, 54 denominator= 5510 numerators:, 551 denominator= 5520 numerators:, 552 denominator= 5530 numerators:, 553 denominator= 5540 numerators:, 554 denominator= 5550 numerators:, 555, 1554, 2553, 3552, 4551 denominator= 5555 numerators:, 15554, 25553, 35552, 45551 denominator= 6100 numerators:, 61 denominator= 6200 numerators:, 62 denominator= 6300 numerators:, 63 denominator= 6400 numerators:, 64, 160 denominator= 6440 numerators:, 161 denominator= 6480 numerators:, 162 denominator= 6500 numerators:, 65, 260 denominator= 6520 numerators:, 163 denominator= 6525 numerators:, 261 denominator= 6550 numerators:, 262 denominator= 6560 numerators:, 164 denominator= 6575 numerators:, 263 denominator= 6610 numerators:, 661 denominator= 6620 numerators:, 662 denominator= 6625 numerators:, 265, 1060 denominator= 6630 numerators:, 663 denominator= 6640 numerators:, 166, 664, 1162, 1660 denominator= 6644 numerators:, 1661 denominator= 6648 numerators:, 1662 denominator= 6650 numerators:, 266, 665, 1064, 1463, 1862, 2261, 2660 denominator= 6652 numerators:, 1663 denominator= 6655 numerators:, 2662 denominator= 6656 numerators:, 1664, 4160 denominator= 6660 numerators:, 666, 1665, 2664, 3663, 4662, 5661 denominator= 6664 numerators:, 1666, 4165, 9163, 11662, 14161, 16660 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661 denominator= 6666 numerators:, 16665, 36663, 56661 denominator= 7100 numerators:, 71 denominator= 7200 numerators:, 72 denominator= 7300 numerators:, 73 denominator= 7400 numerators:, 74 denominator= 7500 numerators:, 75 denominator= 7525 numerators:, 172 denominator= 7560 numerators:, 270 denominator= 7588 numerators:, 271 denominator= 7600 numerators:, 76 denominator= 7616 numerators:, 272 denominator= 7644 numerators:, 273 denominator= 7672 numerators:, 274 denominator= 7710 numerators:, 771 denominator= 7720 numerators:, 772 denominator= 7728 numerators:, 276 denominator= 7730 numerators:, 773 denominator= 7740 numerators:, 774 denominator= 7750 numerators:, 775, 2170 denominator= 7756 numerators:, 277, 2770 denominator= 7760 numerators:, 776 denominator= 7770 numerators:, 777, 1776, 2775, 3774, 4773, 5772, 6771 denominator= 7775 numerators:, 2177, 4976, 10574, 13373, 16172, 18971, 21770 denominator= 7776 numerators:, 25272 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771 denominator= 7790 numerators:, 779 denominator= 7812 numerators:, 279 denominator= 8100 numerators:, 81 denominator= 8200 numerators:, 82 denominator= 8300 numerators:, 83 denominator= 8400 numerators:, 84 denominator= 8500 numerators:, 85 denominator= 8600 numerators:, 86 denominator= 8700 numerators:, 87 denominator= 8810 numerators:, 881 denominator= 8820 numerators:, 882 denominator= 8830 numerators:, 883 denominator= 8832 numerators:, 1380 denominator= 8840 numerators:, 884 denominator= 8850 numerators:, 885 denominator= 8860 numerators:, 886 denominator= 8864 numerators:, 1385 denominator= 8870 numerators:, 887 denominator= 8875 numerators:, 2485, 5680 denominator= 8880 numerators:, 888, 1887, 2886, 3885, 4884, 5883, 6882, 7881 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881 denominator= 9100 numerators:, 91 denominator= 9200 numerators:, 92 denominator= 9300 numerators:, 93 denominator= 9400 numerators:, 94 denominator= 9500 numerators:, 95, 190 denominator= 9550 numerators:, 191 denominator= 9600 numerators:, 96, 192 denominator= 9650 numerators:, 193 denominator= 9700 numerators:, 97, 194, 291 denominator= 9750 numerators:, 195, 390 denominator= 9775 numerators:, 391 denominator= 9800 numerators:, 98, 196, 294, 392, 490 denominator= 9820 numerators:, 491 denominator= 9825 numerators:, 393 denominator= 9840 numerators:, 492 denominator= 9850 numerators:, 197, 394, 591 denominator= 9860 numerators:, 493 denominator= 9875 numerators:, 395, 790 denominator= 9880 numerators:, 494 denominator= 9910 numerators:, 991 denominator= 9920 numerators:, 496, 992 denominator= 9925 numerators:, 397, 794, 1191 denominator= 9930 numerators:, 993 denominator= 9940 numerators:, 497, 994, 1491 denominator= 9950 numerators:, 199, 398, 597, 796, 995, 1194, 1393, 1592, 1791, 1990 denominator= 9955 numerators:, 1991 denominator= 9960 numerators:, 498, 996, 1494, 1992, 2490 denominator= 9964 numerators:, 2491 denominator= 9965 numerators:, 1993 denominator= 9968 numerators:, 2492 denominator= 9970 numerators:, 997, 1994, 2991 denominator= 9972 numerators:, 2493 denominator= 9975 numerators:, 399, 798, 1197, 1596, 1995, 2394, 2793, 3192, 3591, 3990 denominator= 9976 numerators:, 2494 denominator= 9980 numerators:, 499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990 denominator= 9982 numerators:, 4991 denominator= 9984 numerators:, 2496, 4992 denominator= 9985 numerators:, 1997, 3994, 5991 denominator= 9986 numerators:, 4993 denominator= 9988 numerators:, 2497, 4994, 7491 denominator= 9990 numerators:, 999, 1998, 2997, 3996, 4995, 5994, 6993, 7992, 8991 denominator= 9992 numerators:, 2498, 4996, 7494, 12490 denominator= 9994 numerators:, 4997, 14991 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991 denominator= 9996 numerators:, 2499, 4998, 7497, 12495, 14994, 17493, 22491, 24990 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991 ------------------------------------------------------------------------- Section 15 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 2, -th digit of the numerator is cancelled out with the, 3, -th digit of the denominator denominator= 1010 numerators:, 101 denominator= 1020 numerators:, 102 denominator= 1030 numerators:, 103 denominator= 1040 numerators:, 104 denominator= 1050 numerators:, 105 denominator= 1060 numerators:, 106 denominator= 1070 numerators:, 107 denominator= 1080 numerators:, 108 denominator= 1090 numerators:, 109 denominator= 1100 numerators:, 110 denominator= 1200 numerators:, 120 denominator= 1210 numerators:, 121 denominator= 1220 numerators:, 122 denominator= 1230 numerators:, 123 denominator= 1240 numerators:, 124 denominator= 1250 numerators:, 125 denominator= 1260 numerators:, 126 denominator= 1270 numerators:, 127 denominator= 1280 numerators:, 128 denominator= 1290 numerators:, 129 denominator= 1300 numerators:, 130 denominator= 1310 numerators:, 131 denominator= 1320 numerators:, 132 denominator= 1330 numerators:, 133 denominator= 1340 numerators:, 134 denominator= 1350 numerators:, 135 denominator= 1360 numerators:, 136 denominator= 1370 numerators:, 137 denominator= 1380 numerators:, 138 denominator= 1390 numerators:, 139 denominator= 1400 numerators:, 140 denominator= 1410 numerators:, 141 denominator= 1420 numerators:, 142 denominator= 1430 numerators:, 143 denominator= 1440 numerators:, 144 denominator= 1450 numerators:, 145 denominator= 1460 numerators:, 146 denominator= 1470 numerators:, 147 denominator= 1480 numerators:, 148 denominator= 1490 numerators:, 149 denominator= 1500 numerators:, 150 denominator= 1510 numerators:, 151 denominator= 1520 numerators:, 152 denominator= 1530 numerators:, 153 denominator= 1540 numerators:, 154 denominator= 1550 numerators:, 155 denominator= 1560 numerators:, 156 denominator= 1570 numerators:, 157 denominator= 1580 numerators:, 158 denominator= 1590 numerators:, 159 denominator= 1600 numerators:, 160 denominator= 1610 numerators:, 161 denominator= 1620 numerators:, 162 denominator= 1630 numerators:, 163 denominator= 1640 numerators:, 164 denominator= 1650 numerators:, 165 denominator= 1660 numerators:, 166 denominator= 1670 numerators:, 167 denominator= 1680 numerators:, 168 denominator= 1690 numerators:, 169 denominator= 1700 numerators:, 170 denominator= 1710 numerators:, 171 denominator= 1720 numerators:, 172 denominator= 1730 numerators:, 173 denominator= 1740 numerators:, 174 denominator= 1750 numerators:, 175 denominator= 1760 numerators:, 176 denominator= 1770 numerators:, 177 denominator= 1780 numerators:, 178 denominator= 1790 numerators:, 179 denominator= 1800 numerators:, 180 denominator= 1810 numerators:, 181 denominator= 1820 numerators:, 182 denominator= 1830 numerators:, 183 denominator= 1840 numerators:, 184 denominator= 1850 numerators:, 185 denominator= 1860 numerators:, 186 denominator= 1870 numerators:, 187 denominator= 1880 numerators:, 188 denominator= 1890 numerators:, 189 denominator= 1900 numerators:, 190 denominator= 1910 numerators:, 191 denominator= 1920 numerators:, 192 denominator= 1930 numerators:, 193 denominator= 1940 numerators:, 194 denominator= 1950 numerators:, 195 denominator= 1960 numerators:, 196 denominator= 1970 numerators:, 197 denominator= 1980 numerators:, 198 denominator= 1990 numerators:, 199 denominator= 2010 numerators:, 201 denominator= 2020 numerators:, 202 denominator= 2030 numerators:, 203 denominator= 2040 numerators:, 204 denominator= 2050 numerators:, 205 denominator= 2060 numerators:, 206 denominator= 2070 numerators:, 207 denominator= 2080 numerators:, 208 denominator= 2090 numerators:, 209 denominator= 2100 numerators:, 210 denominator= 2110 numerators:, 211 denominator= 2120 numerators:, 212 denominator= 2130 numerators:, 213 denominator= 2140 numerators:, 214 denominator= 2150 numerators:, 215 denominator= 2160 numerators:, 216 denominator= 2170 numerators:, 217 denominator= 2180 numerators:, 218 denominator= 2190 numerators:, 219 denominator= 2200 numerators:, 220, 1210 denominator= 2210 numerators:, 221 denominator= 2215 numerators:, 6202 denominator= 2216 numerators:, 7202 denominator= 2222 numerators:, 12221, 32219, 52217, 72215, 92213, 112211, 132209, 152207, 172205, 192203, 212201 denominator= 2380 numerators:, 238 denominator= 2400 numerators:, 240 denominator= 2420 numerators:, 242 denominator= 2440 numerators:, 244 denominator= 2460 numerators:, 246 denominator= 2480 numerators:, 248 denominator= 2500 numerators:, 250 denominator= 2520 numerators:, 252 denominator= 2540 numerators:, 254 denominator= 2560 numerators:, 256 denominator= 2580 numerators:, 258 denominator= 2600 numerators:, 260 denominator= 2620 numerators:, 262 denominator= 2640 numerators:, 264 denominator= 2660 numerators:, 266 denominator= 2680 numerators:, 268 denominator= 2700 numerators:, 270 denominator= 2720 numerators:, 272 denominator= 2740 numerators:, 274 denominator= 2760 numerators:, 276 denominator= 2780 numerators:, 278 denominator= 2800 numerators:, 280 denominator= 2820 numerators:, 282 denominator= 2840 numerators:, 284 denominator= 2860 numerators:, 286 denominator= 2880 numerators:, 288 denominator= 2900 numerators:, 290 denominator= 2920 numerators:, 292 denominator= 2940 numerators:, 294 denominator= 2960 numerators:, 296 denominator= 2980 numerators:, 298 denominator= 3010 numerators:, 301 denominator= 3020 numerators:, 302 denominator= 3030 numerators:, 303 denominator= 3040 numerators:, 304 denominator= 3050 numerators:, 305 denominator= 3060 numerators:, 306 denominator= 3070 numerators:, 307 denominator= 3080 numerators:, 308 denominator= 3090 numerators:, 309 denominator= 3100 numerators:, 310 denominator= 3110 numerators:, 311 denominator= 3120 numerators:, 312 denominator= 3130 numerators:, 313 denominator= 3140 numerators:, 314 denominator= 3150 numerators:, 315 denominator= 3160 numerators:, 316 denominator= 3170 numerators:, 317 denominator= 3180 numerators:, 318 denominator= 3190 numerators:, 319 denominator= 3200 numerators:, 320 denominator= 3210 numerators:, 321 denominator= 3220 numerators:, 322 denominator= 3230 numerators:, 323 denominator= 3240 numerators:, 324 denominator= 3250 numerators:, 325, 1300 denominator= 3255 numerators:, 1302 denominator= 3260 numerators:, 326, 1304 denominator= 3265 numerators:, 1306 denominator= 3270 numerators:, 327, 1308 denominator= 3275 numerators:, 1310 denominator= 3280 numerators:, 328, 1312 denominator= 3285 numerators:, 1314 denominator= 3290 numerators:, 329, 1316, 2303 denominator= 3295 numerators:, 1318 denominator= 3300 numerators:, 330, 1320, 2310 denominator= 3305 numerators:, 1322 denominator= 3310 numerators:, 331, 1324, 2317, 4303 denominator= 3315 numerators:, 1326, 5304 denominator= 3320 numerators:, 332, 1328, 2324, 4316, 5312, 6308, 7304, 8300 denominator= 3322 numerators:, 8305 denominator= 3324 numerators:, 8310 denominator= 3325 numerators:, 1330, 5320, 7315, 9310, 11305 denominator= 3326 numerators:, 8315 denominator= 3328 numerators:, 8320, 18304 denominator= 3332 numerators:, 8330, 18326, 28322, 38318, 48314, 58310, 68306, 78302 denominator= 3510 numerators:, 351 denominator= 3520 numerators:, 352 denominator= 3530 numerators:, 353 denominator= 3540 numerators:, 354 denominator= 3550 numerators:, 355 denominator= 3560 numerators:, 356 denominator= 3570 numerators:, 357 denominator= 3580 numerators:, 358 denominator= 3590 numerators:, 359 denominator= 3600 numerators:, 360 denominator= 3610 numerators:, 361 denominator= 3620 numerators:, 362 denominator= 3630 numerators:, 363 denominator= 3640 numerators:, 364 denominator= 3650 numerators:, 365 denominator= 3660 numerators:, 366 denominator= 3670 numerators:, 367 denominator= 3680 numerators:, 368 denominator= 3690 numerators:, 369 denominator= 3700 numerators:, 370 denominator= 3710 numerators:, 371 denominator= 3720 numerators:, 372 denominator= 3730 numerators:, 373 denominator= 3740 numerators:, 374 denominator= 3750 numerators:, 375 denominator= 3760 numerators:, 376 denominator= 3770 numerators:, 377 denominator= 3780 numerators:, 378 denominator= 3790 numerators:, 379 denominator= 3800 numerators:, 380 denominator= 3810 numerators:, 381 denominator= 3820 numerators:, 382 denominator= 3830 numerators:, 383 denominator= 3840 numerators:, 384 denominator= 3850 numerators:, 385 denominator= 3860 numerators:, 386 denominator= 3870 numerators:, 387 denominator= 3880 numerators:, 388 denominator= 3890 numerators:, 389 denominator= 3900 numerators:, 390 denominator= 3910 numerators:, 391 denominator= 3920 numerators:, 392 denominator= 3930 numerators:, 393 denominator= 3940 numerators:, 394 denominator= 3950 numerators:, 395 denominator= 3960 numerators:, 396 denominator= 3970 numerators:, 397 denominator= 3980 numerators:, 398 denominator= 3990 numerators:, 399 denominator= 4010 numerators:, 401 denominator= 4020 numerators:, 402 denominator= 4030 numerators:, 403 denominator= 4040 numerators:, 404 denominator= 4050 numerators:, 405 denominator= 4060 numerators:, 406 denominator= 4070 numerators:, 407 denominator= 4080 numerators:, 408 denominator= 4090 numerators:, 409 denominator= 4100 numerators:, 410 denominator= 4110 numerators:, 411 denominator= 4120 numerators:, 412 denominator= 4130 numerators:, 413 denominator= 4140 numerators:, 414 denominator= 4150 numerators:, 415 denominator= 4160 numerators:, 416 denominator= 4170 numerators:, 417 denominator= 4180 numerators:, 418 denominator= 4190 numerators:, 419 denominator= 4200 numerators:, 420 denominator= 4210 numerators:, 421 denominator= 4220 numerators:, 422 denominator= 4230 numerators:, 423 denominator= 4240 numerators:, 424 denominator= 4250 numerators:, 425 denominator= 4260 numerators:, 426 denominator= 4270 numerators:, 427 denominator= 4280 numerators:, 428 denominator= 4290 numerators:, 429 denominator= 4300 numerators:, 430 denominator= 4310 numerators:, 431 denominator= 4320 numerators:, 432, 1404 denominator= 4330 numerators:, 433 denominator= 4340 numerators:, 434 denominator= 4350 numerators:, 435 denominator= 4360 numerators:, 436, 1417 denominator= 4370 numerators:, 437 denominator= 4380 numerators:, 438, 2409 denominator= 4390 numerators:, 439 denominator= 4400 numerators:, 440, 1430, 2420, 3410 denominator= 4410 numerators:, 441 denominator= 4420 numerators:, 442, 2431, 6409 denominator= 4424 numerators:, 9401 denominator= 4430 numerators:, 443, 8417, 12404 denominator= 4432 numerators:, 9418, 14404 denominator= 4435 numerators:, 12418, 20401 denominator= 4436 numerators:, 14417 denominator= 4438 numerators:, 24409 denominator= 4442 numerators:, 24431, 64409 denominator= 4444 numerators:, 14443, 24442, 34441, 54439, 64438, 74437, 94435, 104434, 114433, 134431, 144430, 154429, 174427, 184426, 194425, 214423, 224422, 234421, 254419, 264418, 274417, 294415, 304414, 314413, 334411, 344410, 354409, 374407, 384406, 394405, 414403, 424402, 434401 denominator= 4840 numerators:, 484 denominator= 4880 numerators:, 488 denominator= 4920 numerators:, 492 denominator= 4960 numerators:, 496 denominator= 4990 numerators:, 499 denominator= 5010 numerators:, 501 denominator= 5020 numerators:, 502 denominator= 5030 numerators:, 503 denominator= 5040 numerators:, 504 denominator= 5050 numerators:, 505 denominator= 5060 numerators:, 506 denominator= 5070 numerators:, 507 denominator= 5080 numerators:, 508 denominator= 5090 numerators:, 509 denominator= 5100 numerators:, 510 denominator= 5110 numerators:, 511 denominator= 5120 numerators:, 512 denominator= 5130 numerators:, 513 denominator= 5140 numerators:, 514 denominator= 5150 numerators:, 515 denominator= 5160 numerators:, 516 denominator= 5170 numerators:, 517 denominator= 5180 numerators:, 518 denominator= 5190 numerators:, 519 denominator= 5200 numerators:, 520 denominator= 5210 numerators:, 521 denominator= 5220 numerators:, 522 denominator= 5230 numerators:, 523 denominator= 5240 numerators:, 524 denominator= 5250 numerators:, 525 denominator= 5260 numerators:, 526 denominator= 5270 numerators:, 527 denominator= 5280 numerators:, 528 denominator= 5290 numerators:, 529 denominator= 5300 numerators:, 530 denominator= 5310 numerators:, 531 denominator= 5320 numerators:, 532 denominator= 5330 numerators:, 533 denominator= 5340 numerators:, 534 denominator= 5350 numerators:, 535 denominator= 5360 numerators:, 536 denominator= 5370 numerators:, 537 denominator= 5375 numerators:, 1505 denominator= 5380 numerators:, 538 denominator= 5390 numerators:, 539 denominator= 5400 numerators:, 540, 1512 denominator= 5410 numerators:, 541 denominator= 5420 numerators:, 542 denominator= 5425 numerators:, 1519 denominator= 5430 numerators:, 543 denominator= 5440 numerators:, 544 denominator= 5450 numerators:, 545, 1526, 2507 denominator= 5460 numerators:, 546 denominator= 5470 numerators:, 547 denominator= 5475 numerators:, 1533, 3504 denominator= 5480 numerators:, 548 denominator= 5490 numerators:, 549 denominator= 5500 numerators:, 550, 1540, 2530, 3520, 4510 denominator= 5510 numerators:, 551 denominator= 5520 numerators:, 552 denominator= 5525 numerators:, 1547, 3536, 7514, 9503 denominator= 5530 numerators:, 553, 10507 denominator= 5540 numerators:, 554, 10526, 15512 denominator= 5545 numerators:, 15526, 25507 denominator= 5546 numerators:, 30503 denominator= 5548 numerators:, 30514 denominator= 5552 numerators:, 30536, 80504 denominator= 5554 numerators:, 30547, 80533, 130519, 180505 denominator= 5555 numerators:, 15554, 25553, 35552, 45551, 65549, 75548, 85547, 95546, 115544, 125543, 135542, 145541, 165539, 175538, 185537, 195536, 215534, 225533, 235532, 245531, 265529, 275528, 285527, 295526, 315524, 325523, 335522, 345521, 365519, 375518, 385517, 395516, 415514, 425513, 435512, 445511, 465509, 475508, 485507, 495506, 515504, 525503, 535502, 545501 denominator= 6010 numerators:, 601 denominator= 6020 numerators:, 602 denominator= 6030 numerators:, 603 denominator= 6040 numerators:, 604 denominator= 6050 numerators:, 605 denominator= 6060 numerators:, 606 denominator= 6070 numerators:, 607 denominator= 6080 numerators:, 608 denominator= 6090 numerators:, 609 denominator= 6100 numerators:, 610 denominator= 6110 numerators:, 611 denominator= 6120 numerators:, 612 denominator= 6130 numerators:, 613 denominator= 6140 numerators:, 614 denominator= 6150 numerators:, 615 denominator= 6160 numerators:, 616 denominator= 6170 numerators:, 617 denominator= 6180 numerators:, 618 denominator= 6190 numerators:, 619 denominator= 6200 numerators:, 620 denominator= 6210 numerators:, 621 denominator= 6220 numerators:, 622 denominator= 6230 numerators:, 623 denominator= 6240 numerators:, 624 denominator= 6250 numerators:, 625 denominator= 6260 numerators:, 626 denominator= 6270 numerators:, 627 denominator= 6280 numerators:, 628 denominator= 6290 numerators:, 629 denominator= 6300 numerators:, 630 denominator= 6310 numerators:, 631 denominator= 6320 numerators:, 632 denominator= 6330 numerators:, 633 denominator= 6340 numerators:, 634 denominator= 6350 numerators:, 635 denominator= 6360 numerators:, 636 denominator= 6370 numerators:, 637 denominator= 6380 numerators:, 638 denominator= 6390 numerators:, 639 denominator= 6400 numerators:, 640, 1600 denominator= 6404 numerators:, 1601 denominator= 6408 numerators:, 1602 denominator= 6410 numerators:, 641 denominator= 6412 numerators:, 1603 denominator= 6416 numerators:, 1604 denominator= 6420 numerators:, 642, 1605 denominator= 6424 numerators:, 1606 denominator= 6428 numerators:, 1607 denominator= 6430 numerators:, 643 denominator= 6432 numerators:, 1608 denominator= 6436 numerators:, 1609 denominator= 6440 numerators:, 644, 1610 denominator= 6444 numerators:, 1611 denominator= 6448 numerators:, 1612 denominator= 6450 numerators:, 645 denominator= 6452 numerators:, 1613 denominator= 6456 numerators:, 1614 denominator= 6460 numerators:, 646, 1615 denominator= 6464 numerators:, 1616 denominator= 6468 numerators:, 1617 denominator= 6470 numerators:, 647 denominator= 6472 numerators:, 1618 denominator= 6476 numerators:, 1619 denominator= 6480 numerators:, 648, 1620 denominator= 6484 numerators:, 1621 denominator= 6488 numerators:, 1622 denominator= 6490 numerators:, 649 denominator= 6492 numerators:, 1623 denominator= 6496 numerators:, 1624 denominator= 6500 numerators:, 650, 1625, 2600 denominator= 6504 numerators:, 1626 denominator= 6505 numerators:, 2602 denominator= 6508 numerators:, 1627 denominator= 6510 numerators:, 651, 2604 denominator= 6512 numerators:, 1628 denominator= 6515 numerators:, 2606 denominator= 6516 numerators:, 1629 denominator= 6520 numerators:, 652, 1630, 2608 denominator= 6524 numerators:, 1631 denominator= 6525 numerators:, 2610 denominator= 6528 numerators:, 1632 denominator= 6530 numerators:, 653, 2612 denominator= 6532 numerators:, 1633 denominator= 6535 numerators:, 2614 denominator= 6536 numerators:, 1634 denominator= 6540 numerators:, 654, 1635, 2616 denominator= 6544 numerators:, 1636 denominator= 6545 numerators:, 2618 denominator= 6548 numerators:, 1637 denominator= 6550 numerators:, 655, 2620 denominator= 6552 numerators:, 1638 denominator= 6555 numerators:, 2622 denominator= 6556 numerators:, 1639 denominator= 6560 numerators:, 656, 1640, 2624, 3608 denominator= 6564 numerators:, 1641 denominator= 6565 numerators:, 2626 denominator= 6568 numerators:, 1642 denominator= 6570 numerators:, 657, 2628 denominator= 6572 numerators:, 1643 denominator= 6575 numerators:, 2630 denominator= 6576 numerators:, 1644 denominator= 6580 numerators:, 658, 1645, 2632, 3619, 4606 denominator= 6584 numerators:, 1646 denominator= 6585 numerators:, 2634 denominator= 6588 numerators:, 1647 denominator= 6590 numerators:, 659, 2636, 4613 denominator= 6592 numerators:, 1648 denominator= 6595 numerators:, 2638 denominator= 6596 numerators:, 1649 denominator= 6600 numerators:, 660, 1650, 2640, 3630, 4620, 5610 denominator= 6604 numerators:, 1651 denominator= 6605 numerators:, 2642 denominator= 6608 numerators:, 1652 denominator= 6610 numerators:, 661, 2644, 4627 denominator= 6612 numerators:, 1653 denominator= 6615 numerators:, 2646 denominator= 6616 numerators:, 1654 denominator= 6620 numerators:, 662, 1655, 2648, 3641, 4634, 5627, 7613, 8606 denominator= 6624 numerators:, 1656 denominator= 6625 numerators:, 2650, 10600 denominator= 6628 numerators:, 1657 denominator= 6630 numerators:, 663, 2652, 4641, 8619, 10608 denominator= 6632 numerators:, 1658, 11606 denominator= 6635 numerators:, 2654, 10616 denominator= 6636 numerators:, 1659, 11613 denominator= 6640 numerators:, 664, 1660, 2656, 3652, 4648, 5644, 7636, 8632, 9628, 10624, 11620, 12616, 13612, 14608, 15604, 16600 denominator= 6642 numerators:, 16605 denominator= 6644 numerators:, 1661, 11627, 16610 denominator= 6645 numerators:, 2658, 10632, 14619, 18606 denominator= 6646 numerators:, 16615 denominator= 6648 numerators:, 1662, 11634, 16620, 21606 denominator= 6650 numerators:, 665, 2660, 4655, 8645, 10640, 12635, 14630, 16625, 18620, 20615, 22610, 24605 denominator= 6652 numerators:, 1663, 11641, 16630, 21619 denominator= 6654 numerators:, 16635 denominator= 6655 numerators:, 2662, 10648, 14641, 18634, 22627, 30613, 34606 denominator= 6656 numerators:, 1664, 11648, 16640, 21632, 31616, 36608, 41600 denominator= 6658 numerators:, 16645, 36619 denominator= 6662 numerators:, 16655, 36641, 56627, 76613 denominator= 6664 numerators:, 1666, 11662, 16660, 21658, 31654, 36652, 41650, 51646, 56644, 61642, 71638, 76636, 81634, 91630, 96628, 101626, 111622, 116620, 121618, 131614, 136612, 141610, 151606, 156604, 161602 denominator= 6665 numerators:, 2666, 10664, 14663, 18662, 22661, 30659, 34658, 38657, 42656, 50654, 54653, 58652, 62651, 70649, 74648, 78647, 82646, 90644, 94643, 98642, 102641, 110639, 114638, 118637, 122636, 130634, 134633, 138632, 142631, 150629, 154628, 158627, 162626, 170624, 174623, 178622, 182621, 190619, 194618, 198617, 202616, 210614, 214613, 218612, 222611, 230609, 234608, 238607, 242606, 250604, 254603, 258602, 262601 denominator= 6666 numerators:, 16665, 36663, 56661, 76659, 96657, 116655, 136653, 156651, 176649, 196647, 216645, 236643, 256641, 276639, 296637, 316635, 336633, 356631, 376629, 396627, 416625, 436623, 456621, 476619, 496617, 516615, 536613, 556611, 576609, 596607, 616605, 636603, 656601 denominator= 7010 numerators:, 701 denominator= 7020 numerators:, 702 denominator= 7030 numerators:, 703 denominator= 7040 numerators:, 704 denominator= 7050 numerators:, 705 denominator= 7060 numerators:, 706 denominator= 7070 numerators:, 707 denominator= 7080 numerators:, 708 denominator= 7090 numerators:, 709 denominator= 7100 numerators:, 710 denominator= 7110 numerators:, 711 denominator= 7120 numerators:, 712 denominator= 7130 numerators:, 713 denominator= 7140 numerators:, 714 denominator= 7150 numerators:, 715 denominator= 7160 numerators:, 716 denominator= 7170 numerators:, 717 denominator= 7180 numerators:, 718 denominator= 7190 numerators:, 719 denominator= 7200 numerators:, 720 denominator= 7210 numerators:, 721 denominator= 7220 numerators:, 722 denominator= 7230 numerators:, 723 denominator= 7240 numerators:, 724 denominator= 7250 numerators:, 725 denominator= 7260 numerators:, 726 denominator= 7270 numerators:, 727 denominator= 7280 numerators:, 728 denominator= 7290 numerators:, 729 denominator= 7300 numerators:, 730 denominator= 7310 numerators:, 731 denominator= 7320 numerators:, 732 denominator= 7330 numerators:, 733 denominator= 7340 numerators:, 734 denominator= 7350 numerators:, 735 denominator= 7360 numerators:, 736 denominator= 7370 numerators:, 737 denominator= 7380 numerators:, 738 denominator= 7390 numerators:, 739 denominator= 7400 numerators:, 740 denominator= 7410 numerators:, 741 denominator= 7420 numerators:, 742 denominator= 7430 numerators:, 743 denominator= 7440 numerators:, 744 denominator= 7450 numerators:, 745 denominator= 7455 numerators:, 1704 denominator= 7460 numerators:, 746 denominator= 7470 numerators:, 747 denominator= 7480 numerators:, 748 denominator= 7490 numerators:, 749, 1712 denominator= 7500 numerators:, 750 denominator= 7510 numerators:, 751 denominator= 7520 numerators:, 752 denominator= 7525 numerators:, 1720 denominator= 7530 numerators:, 753 denominator= 7540 numerators:, 754 denominator= 7550 numerators:, 755 denominator= 7560 numerators:, 756, 1728, 2700 denominator= 7570 numerators:, 757 denominator= 7574 numerators:, 2705 denominator= 7580 numerators:, 758 denominator= 7588 numerators:, 2710 denominator= 7590 numerators:, 759 denominator= 7595 numerators:, 1736 denominator= 7600 numerators:, 760 denominator= 7602 numerators:, 2715 denominator= 7610 numerators:, 761 denominator= 7616 numerators:, 2720 denominator= 7620 numerators:, 762 denominator= 7630 numerators:, 763, 1744, 2725, 3706 denominator= 7640 numerators:, 764 denominator= 7644 numerators:, 2730 denominator= 7650 numerators:, 765 denominator= 7658 numerators:, 2735 denominator= 7660 numerators:, 766 denominator= 7665 numerators:, 1752, 3723 denominator= 7670 numerators:, 767 denominator= 7672 numerators:, 2740 denominator= 7680 numerators:, 768 denominator= 7686 numerators:, 2745 denominator= 7690 numerators:, 769 denominator= 7700 numerators:, 770, 1760, 2750, 3740, 4730, 5720, 6710 denominator= 7710 numerators:, 771 denominator= 7714 numerators:, 2755 denominator= 7720 numerators:, 772 denominator= 7728 numerators:, 2760 denominator= 7730 numerators:, 773 denominator= 7735 numerators:, 1768, 3757, 5746, 9724, 11713, 13702 denominator= 7740 numerators:, 774, 14706 denominator= 7742 numerators:, 2765, 12719 denominator= 7749 numerators:, 17712 denominator= 7750 numerators:, 775, 14725, 21700 denominator= 7755 numerators:, 21714 denominator= 7756 numerators:, 2770, 12742, 17728, 22714, 27700 denominator= 7760 numerators:, 776, 14744, 21728, 28712 denominator= 7763 numerators:, 17744, 27725, 37706 denominator= 7764 numerators:, 42702 denominator= 7765 numerators:, 21742, 35719 denominator= 7766 numerators:, 42713 denominator= 7768 numerators:, 42724 denominator= 7772 numerators:, 42746 denominator= 7774 numerators:, 42757, 112723 denominator= 7775 numerators:, 21770, 35765, 49760, 63755, 91745, 105740, 119735, 133730, 161720, 175715, 189710, 203705 denominator= 7776 numerators:, 42768, 112752, 182736, 252720, 322704 denominator= 7777 numerators:, 17776, 27775, 37774, 47773, 57772, 67771, 87769, 97768, 107767, 117766, 127765, 137764, 157762, 167761, 177760, 187759, 197758, 207757, 227755, 237754, 247753, 257752, 267751, 277750, 297748, 307747, 317746, 327745, 337744, 347743, 367741, 377740, 387739, 397738, 407737, 417736, 437734, 447733, 457732, 467731, 477730, 487729, 507727, 517726, 527725, 537724, 547723, 557722, 577720, 587719, 597718, 607717, 617716, 627715, 647713, 657712, 667711, 677710, 687709, 697708, 717706, 727705, 737704, 747703, 757702, 767701 denominator= 7990 numerators:, 799 denominator= 8010 numerators:, 801 denominator= 8020 numerators:, 802 denominator= 8030 numerators:, 803 denominator= 8040 numerators:, 804 denominator= 8050 numerators:, 805 denominator= 8060 numerators:, 806 denominator= 8070 numerators:, 807 denominator= 8080 numerators:, 808 denominator= 8090 numerators:, 809 denominator= 8100 numerators:, 810 denominator= 8110 numerators:, 811 denominator= 8120 numerators:, 812 denominator= 8130 numerators:, 813 denominator= 8140 numerators:, 814 denominator= 8150 numerators:, 815 denominator= 8160 numerators:, 816 denominator= 8170 numerators:, 817 denominator= 8180 numerators:, 818 denominator= 8190 numerators:, 819 denominator= 8200 numerators:, 820 denominator= 8210 numerators:, 821 denominator= 8220 numerators:, 822 denominator= 8230 numerators:, 823 denominator= 8240 numerators:, 824 denominator= 8250 numerators:, 825 denominator= 8260 numerators:, 826 denominator= 8270 numerators:, 827 denominator= 8280 numerators:, 828 denominator= 8290 numerators:, 829 denominator= 8300 numerators:, 830 denominator= 8310 numerators:, 831 denominator= 8320 numerators:, 832 denominator= 8330 numerators:, 833 denominator= 8340 numerators:, 834 denominator= 8350 numerators:, 835 denominator= 8360 numerators:, 836 denominator= 8370 numerators:, 837 denominator= 8380 numerators:, 838 denominator= 8390 numerators:, 839 denominator= 8400 numerators:, 840 denominator= 8410 numerators:, 841 denominator= 8420 numerators:, 842 denominator= 8430 numerators:, 843 denominator= 8440 numerators:, 844 denominator= 8450 numerators:, 845 denominator= 8460 numerators:, 846 denominator= 8470 numerators:, 847 denominator= 8480 numerators:, 848, 1802 denominator= 8490 numerators:, 849 denominator= 8500 numerators:, 850 denominator= 8510 numerators:, 851 denominator= 8520 numerators:, 852 denominator= 8530 numerators:, 853 denominator= 8540 numerators:, 854 denominator= 8550 numerators:, 855 denominator= 8560 numerators:, 856, 1819 denominator= 8570 numerators:, 857 denominator= 8580 numerators:, 858 denominator= 8590 numerators:, 859 denominator= 8600 numerators:, 860 denominator= 8610 numerators:, 861 denominator= 8620 numerators:, 862 denominator= 8630 numerators:, 863 denominator= 8640 numerators:, 864, 1836, 2808 denominator= 8650 numerators:, 865 denominator= 8660 numerators:, 866 denominator= 8670 numerators:, 867 denominator= 8680 numerators:, 868, 2821 denominator= 8688 numerators:, 3801 denominator= 8690 numerators:, 869 denominator= 8700 numerators:, 870 denominator= 8704 numerators:, 3808 denominator= 8710 numerators:, 871 denominator= 8720 numerators:, 872, 1853, 2834, 3815 denominator= 8730 numerators:, 873 denominator= 8736 numerators:, 3822 denominator= 8740 numerators:, 874, 4807 denominator= 8750 numerators:, 875 denominator= 8752 numerators:, 3829 denominator= 8760 numerators:, 876, 2847, 4818 denominator= 8768 numerators:, 3836 denominator= 8770 numerators:, 877 denominator= 8780 numerators:, 878, 4829 denominator= 8784 numerators:, 3843 denominator= 8790 numerators:, 879 denominator= 8800 numerators:, 880, 1870, 2860, 3850, 4840, 5830, 6820, 7810 denominator= 8810 numerators:, 881 denominator= 8816 numerators:, 3857 denominator= 8820 numerators:, 882, 4851 denominator= 8830 numerators:, 883 denominator= 8832 numerators:, 3864, 13800 denominator= 8840 numerators:, 884, 2873, 4862, 6851, 10829, 12818, 14807 denominator= 8848 numerators:, 3871, 13825, 18802 denominator= 8850 numerators:, 885, 16815 denominator= 8856 numerators:, 18819 denominator= 8860 numerators:, 886, 4873, 12847, 16834, 20821, 24808 denominator= 8864 numerators:, 3878, 13850, 18836, 23822, 28808 denominator= 8865 numerators:, 24822 denominator= 8868 numerators:, 28821 denominator= 8870 numerators:, 887, 16853, 24836, 32819, 40802 denominator= 8872 numerators:, 18853, 28834, 38815 denominator= 8874 numerators:, 48807 denominator= 8875 numerators:, 24850, 40825, 56800 denominator= 8876 numerators:, 28847, 48818 denominator= 8878 numerators:, 48829 denominator= 8882 numerators:, 48851 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807 denominator= 8885 numerators:, 24878, 40871, 56864, 72857, 104843, 120836, 136829, 152822, 184808, 200801 denominator= 8886 numerators:, 48873, 128847, 208821 denominator= 8888 numerators:, 18887, 28886, 38885, 48884, 58883, 68882, 78881, 98879, 108878, 118877, 128876, 138875, 148874, 158873, 178871, 188870, 198869, 208868, 218867, 228866, 238865, 258863, 268862, 278861, 288860, 298859, 308858, 318857, 338855, 348854, 358853, 368852, 378851, 388850, 398849, 418847, 428846, 438845, 448844, 458843, 468842, 478841, 498839, 508838, 518837, 528836, 538835, 548834, 558833, 578831, 588830, 598829, 608828, 618827, 628826, 638825, 658823, 668822, 678821, 688820, 698819, 708818, 718817, 738815, 748814, 758813, 768812, 778811, 788810, 798809, 818807, 828806, 838805, 848804, 858803, 868802, 878801 denominator= 9010 numerators:, 901 denominator= 9020 numerators:, 902 denominator= 9030 numerators:, 903 denominator= 9040 numerators:, 904 denominator= 9050 numerators:, 905 denominator= 9060 numerators:, 906 denominator= 9070 numerators:, 907 denominator= 9080 numerators:, 908 denominator= 9090 numerators:, 909 denominator= 9100 numerators:, 910 denominator= 9110 numerators:, 911 denominator= 9120 numerators:, 912 denominator= 9130 numerators:, 913 denominator= 9140 numerators:, 914 denominator= 9150 numerators:, 915 denominator= 9160 numerators:, 916 denominator= 9170 numerators:, 917 denominator= 9180 numerators:, 918 denominator= 9190 numerators:, 919 denominator= 9200 numerators:, 920 denominator= 9210 numerators:, 921 denominator= 9220 numerators:, 922 denominator= 9230 numerators:, 923 denominator= 9240 numerators:, 924 denominator= 9250 numerators:, 925 denominator= 9260 numerators:, 926 denominator= 9270 numerators:, 927 denominator= 9280 numerators:, 928 denominator= 9290 numerators:, 929 denominator= 9300 numerators:, 930 denominator= 9310 numerators:, 931 denominator= 9320 numerators:, 932 denominator= 9330 numerators:, 933 denominator= 9340 numerators:, 934 denominator= 9350 numerators:, 935 denominator= 9360 numerators:, 936 denominator= 9370 numerators:, 937 denominator= 9380 numerators:, 938 denominator= 9390 numerators:, 939 denominator= 9400 numerators:, 940 denominator= 9410 numerators:, 941 denominator= 9420 numerators:, 942 denominator= 9430 numerators:, 943 denominator= 9440 numerators:, 944 denominator= 9450 numerators:, 945 denominator= 9460 numerators:, 946 denominator= 9470 numerators:, 947 denominator= 9480 numerators:, 948 denominator= 9490 numerators:, 949 denominator= 9500 numerators:, 950, 1900 denominator= 9505 numerators:, 1901 denominator= 9510 numerators:, 951, 1902 denominator= 9515 numerators:, 1903 denominator= 9520 numerators:, 952, 1904 denominator= 9525 numerators:, 1905 denominator= 9530 numerators:, 953, 1906 denominator= 9535 numerators:, 1907 denominator= 9540 numerators:, 954, 1908 denominator= 9545 numerators:, 1909 denominator= 9550 numerators:, 955, 1910 denominator= 9555 numerators:, 1911 denominator= 9560 numerators:, 956, 1912 denominator= 9565 numerators:, 1913 denominator= 9570 numerators:, 957, 1914 denominator= 9575 numerators:, 1915 denominator= 9580 numerators:, 958, 1916 denominator= 9585 numerators:, 1917 denominator= 9590 numerators:, 959, 1918 denominator= 9595 numerators:, 1919 denominator= 9600 numerators:, 960, 1920 denominator= 9605 numerators:, 1921 denominator= 9610 numerators:, 961, 1922 denominator= 9615 numerators:, 1923 denominator= 9620 numerators:, 962, 1924 denominator= 9625 numerators:, 1925 denominator= 9630 numerators:, 963, 1926 denominator= 9635 numerators:, 1927 denominator= 9640 numerators:, 964, 1928 denominator= 9645 numerators:, 1929 denominator= 9650 numerators:, 965, 1930 denominator= 9655 numerators:, 1931 denominator= 9660 numerators:, 966, 1932 denominator= 9665 numerators:, 1933 denominator= 9670 numerators:, 967, 1934, 2901 denominator= 9675 numerators:, 1935 denominator= 9680 numerators:, 968, 1936, 2904 denominator= 9685 numerators:, 1937 denominator= 9690 numerators:, 969, 1938, 2907 denominator= 9695 numerators:, 1939 denominator= 9700 numerators:, 970, 1940, 2910 denominator= 9705 numerators:, 1941 denominator= 9710 numerators:, 971, 1942, 2913 denominator= 9715 numerators:, 1943 denominator= 9720 numerators:, 972, 1944, 2916 denominator= 9725 numerators:, 1945 denominator= 9730 numerators:, 973, 1946, 2919 denominator= 9735 numerators:, 1947 denominator= 9740 numerators:, 974, 1948, 2922 denominator= 9745 numerators:, 1949 denominator= 9750 numerators:, 975, 1950, 2925, 3900 denominator= 9755 numerators:, 1951, 3902 denominator= 9760 numerators:, 976, 1952, 2928, 3904 denominator= 9765 numerators:, 1953, 3906 denominator= 9770 numerators:, 977, 1954, 2931, 3908 denominator= 9775 numerators:, 1955, 3910 denominator= 9780 numerators:, 978, 1956, 2934, 3912 denominator= 9785 numerators:, 1957, 3914 denominator= 9790 numerators:, 979, 1958, 2937, 3916 denominator= 9795 numerators:, 1959, 3918 denominator= 9800 numerators:, 980, 1960, 2940, 3920, 4900 denominator= 9802 numerators:, 4901 denominator= 9804 numerators:, 4902 denominator= 9805 numerators:, 1961, 3922 denominator= 9806 numerators:, 4903 denominator= 9808 numerators:, 4904 denominator= 9810 numerators:, 981, 1962, 2943, 3924, 4905 denominator= 9812 numerators:, 4906 denominator= 9814 numerators:, 4907 denominator= 9815 numerators:, 1963, 3926 denominator= 9816 numerators:, 4908 denominator= 9818 numerators:, 4909 denominator= 9820 numerators:, 982, 1964, 2946, 3928, 4910 denominator= 9822 numerators:, 4911 denominator= 9824 numerators:, 4912 denominator= 9825 numerators:, 1965, 3930 denominator= 9826 numerators:, 4913 denominator= 9828 numerators:, 4914 denominator= 9830 numerators:, 983, 1966, 2949, 3932, 4915 denominator= 9832 numerators:, 4916 denominator= 9834 numerators:, 4917 denominator= 9835 numerators:, 1967, 3934, 5901 denominator= 9836 numerators:, 4918 denominator= 9838 numerators:, 4919 denominator= 9840 numerators:, 984, 1968, 2952, 3936, 4920, 5904 denominator= 9842 numerators:, 4921 denominator= 9844 numerators:, 4922 denominator= 9845 numerators:, 1969, 3938, 5907 denominator= 9846 numerators:, 4923 denominator= 9848 numerators:, 4924 denominator= 9850 numerators:, 985, 1970, 2955, 3940, 4925, 5910 denominator= 9852 numerators:, 4926 denominator= 9854 numerators:, 4927 denominator= 9855 numerators:, 1971, 3942, 5913 denominator= 9856 numerators:, 4928 denominator= 9858 numerators:, 4929 denominator= 9860 numerators:, 986, 1972, 2958, 3944, 4930, 5916, 6902 denominator= 9862 numerators:, 4931 denominator= 9864 numerators:, 4932 denominator= 9865 numerators:, 1973, 3946, 5919 denominator= 9866 numerators:, 4933 denominator= 9868 numerators:, 4934 denominator= 9870 numerators:, 987, 1974, 2961, 3948, 4935, 5922, 6909 denominator= 9872 numerators:, 4936 denominator= 9874 numerators:, 4937 denominator= 9875 numerators:, 1975, 3950, 5925, 7900 denominator= 9876 numerators:, 4938 denominator= 9878 numerators:, 4939 denominator= 9880 numerators:, 988, 1976, 2964, 3952, 4940, 5928, 6916, 7904 denominator= 9882 numerators:, 4941 denominator= 9884 numerators:, 4942 denominator= 9885 numerators:, 1977, 3954, 5931, 7908 denominator= 9886 numerators:, 4943 denominator= 9888 numerators:, 4944 denominator= 9890 numerators:, 989, 1978, 2967, 3956, 4945, 5934, 6923, 7912, 8901 denominator= 9892 numerators:, 4946 denominator= 9894 numerators:, 4947 denominator= 9895 numerators:, 1979, 3958, 5937, 7916 denominator= 9896 numerators:, 4948 denominator= 9898 numerators:, 4949 denominator= 9900 numerators:, 990, 1980, 2970, 3960, 4950, 5940, 6930, 7920, 8910 denominator= 9902 numerators:, 4951 denominator= 9904 numerators:, 4952 denominator= 9905 numerators:, 1981, 3962, 5943, 7924 denominator= 9906 numerators:, 4953 denominator= 9908 numerators:, 4954 denominator= 9910 numerators:, 991, 1982, 2973, 3964, 4955, 5946, 6937, 7928, 8919, 10901 denominator= 9912 numerators:, 4956 denominator= 9914 numerators:, 4957 denominator= 9915 numerators:, 1983, 3966, 5949, 7932 denominator= 9916 numerators:, 4958 denominator= 9918 numerators:, 4959 denominator= 9920 numerators:, 992, 1984, 2976, 3968, 4960, 5952, 6944, 7936, 8928, 10912, 11904 denominator= 9922 numerators:, 4961 denominator= 9924 numerators:, 4962 denominator= 9925 numerators:, 1985, 3970, 5955, 7940, 11910 denominator= 9926 numerators:, 4963 denominator= 9928 numerators:, 4964 denominator= 9930 numerators:, 993, 1986, 2979, 3972, 4965, 5958, 6951, 7944, 8937, 10923, 11916, 12909, 13902 denominator= 9932 numerators:, 4966 denominator= 9934 numerators:, 4967, 14901 denominator= 9935 numerators:, 1987, 3974, 5961, 7948, 11922, 13909 denominator= 9936 numerators:, 4968, 14904 denominator= 9938 numerators:, 4969, 14907 denominator= 9940 numerators:, 994, 1988, 2982, 3976, 4970, 5964, 6958, 7952, 8946, 10934, 11928, 12922, 13916, 14910, 15904 denominator= 9942 numerators:, 4971, 14913 denominator= 9944 numerators:, 4972, 14916 denominator= 9945 numerators:, 1989, 3978, 5967, 7956, 11934, 13923, 15912, 17901 denominator= 9946 numerators:, 4973, 14919 denominator= 9948 numerators:, 4974, 14922 denominator= 9950 numerators:, 995, 1990, 2985, 3980, 4975, 5970, 6965, 7960, 8955, 10945, 11940, 12935, 13930, 14925, 15920, 16915, 17910, 18905 denominator= 9952 numerators:, 4976, 14928 denominator= 9954 numerators:, 4977, 14931 denominator= 9955 numerators:, 1991, 3982, 5973, 7964, 11946, 13937, 15928, 17919, 21901 denominator= 9956 numerators:, 4978, 14934 denominator= 9958 numerators:, 4979, 14937 denominator= 9960 numerators:, 996, 1992, 2988, 3984, 4980, 5976, 6972, 7968, 8964, 10956, 11952, 12948, 13944, 14940, 15936, 16932, 17928, 18924, 20916, 21912, 22908, 23904, 24900 denominator= 9962 numerators:, 4981, 14943, 24905 denominator= 9964 numerators:, 4982, 14946, 24910 denominator= 9965 numerators:, 1993, 3986, 5979, 7972, 11958, 13951, 15944, 17937, 21923, 23916, 25909, 27902 denominator= 9966 numerators:, 4983, 14949, 24915 denominator= 9968 numerators:, 4984, 14952, 24920 denominator= 9970 numerators:, 997, 1994, 2991, 3988, 4985, 5982, 6979, 7976, 8973, 10967, 11964, 12961, 13958, 14955, 15952, 16949, 17946, 18943, 20937, 21934, 22931, 23928, 24925, 25922, 26919, 27916, 28913, 30907, 31904, 32901 denominator= 9972 numerators:, 4986, 14958, 24930, 34902 denominator= 9974 numerators:, 4987, 14961, 24935, 34909 denominator= 9975 numerators:, 1995, 3990, 5985, 7980, 11970, 13965, 15960, 17955, 21945, 23940, 25935, 27930, 31920, 33915, 35910, 37905 denominator= 9976 numerators:, 4988, 14964, 24940, 34916 denominator= 9978 numerators:, 4989, 14967, 24945, 34923, 44901 denominator= 9980 numerators:, 998, 1996, 2994, 3992, 4990, 5988, 6986, 7984, 8982, 10978, 11976, 12974, 13972, 14970, 15968, 16966, 17964, 18962, 20958, 21956, 22954, 23952, 24950, 25948, 26946, 27944, 28942, 30938, 31936, 32934, 33932, 34930, 35928, 36926, 37924, 38922, 40918, 41916, 42914, 43912, 44910, 45908, 46906, 47904, 48902 denominator= 9982 numerators:, 4991, 14973, 24955, 34937, 44919, 54901 denominator= 9984 numerators:, 4992, 14976, 24960, 34944, 44928, 54912 denominator= 9985 numerators:, 1997, 3994, 5991, 7988, 11982, 13979, 15976, 17973, 21967, 23964, 25961, 27958, 31952, 33949, 35946, 37943, 41937, 43934, 45931, 47928, 51922, 53919, 55916, 57913, 61907, 63904, 65901 denominator= 9986 numerators:, 4993, 14979, 24965, 34951, 44937, 54923, 64909 denominator= 9988 numerators:, 4994, 14982, 24970, 34958, 44946, 54934, 64922, 74910 denominator= 9992 numerators:, 4996, 14988, 24980, 34972, 44964, 54956, 64948, 74940, 84932, 94924, 104916, 114908, 124900 denominator= 9994 numerators:, 4997, 14991, 24985, 34979, 44973, 54967, 64961, 74955, 84949, 94943, 104937, 114931, 124925, 134919, 144913, 154907, 164901 denominator= 9995 numerators:, 1999, 3998, 5997, 7996, 11994, 13993, 15992, 17991, 21989, 23988, 25987, 27986, 31984, 33983, 35982, 37981, 41979, 43978, 45977, 47976, 51974, 53973, 55972, 57971, 61969, 63968, 65967, 67966, 71964, 73963, 75962, 77961, 81959, 83958, 85957, 87956, 91954, 93953, 95952, 97951, 101949, 103948, 105947, 107946, 111944, 113943, 115942, 117941, 121939, 123938, 125937, 127936, 131934, 133933, 135932, 137931, 141929, 143928, 145927, 147926, 151924, 153923, 155922, 157921, 161919, 163918, 165917, 167916, 171914, 173913, 175912, 177911, 181909, 183908, 185907, 187906, 191904, 193903, 195902, 197901 denominator= 9996 numerators:, 4998, 14994, 24990, 34986, 44982, 54978, 64974, 74970, 84966, 94962, 104958, 114954, 124950, 134946, 144942, 154938, 164934, 174930, 184926, 194922, 204918, 214914, 224910, 234906, 244902 denominator= 9998 numerators:, 4999, 14997, 24995, 34993, 44991, 54989, 64987, 74985, 84983, 94981, 104979, 114977, 124975, 134973, 144971, 154969, 164967, 174965, 184963, 194961, 204959, 214957, 224955, 234953, 244951, 254949, 264947, 274945, 284943, 294941, 304939, 314937, 324935, 334933, 344931, 354929, 364927, 374925, 384923, 394921, 404919, 414917, 424915, 434913, 444911, 454909, 464907, 474905, 484903, 494901 ------------------------------------------------------------------------- Section 16 All the Anomalous Cancellations with the denominator with, 4, digits, and where the , 3, -th digit of the numerator is cancelled out with the, 3, -th digit of the denominator denominator= 2182 numerators:, 12001 denominator= 2184 numerators:, 12012 denominator= 2186 numerators:, 12023 denominator= 2188 numerators:, 12034 denominator= 2190 numerators:, 12045 denominator= 2192 numerators:, 12056 denominator= 2194 numerators:, 12067 denominator= 2196 numerators:, 12078 denominator= 2198 numerators:, 12089 denominator= 2200 numerators:, 12100 denominator= 2202 numerators:, 12111 denominator= 2204 numerators:, 12122 denominator= 2206 numerators:, 12133 denominator= 2208 numerators:, 12144, 32016 denominator= 2210 numerators:, 12155, 32045 denominator= 2212 numerators:, 12166, 32074 denominator= 2214 numerators:, 12177, 32103, 52029 denominator= 2216 numerators:, 12188, 32132, 52076, 72020 denominator= 2218 numerators:, 12199, 32161, 52123, 72085, 92047, 112009 denominator= 2220 numerators:, 12210, 32190, 52170, 72150, 92130, 112110, 132090, 152070, 172050, 192030, 212010 denominator= 4308 numerators:, 14001 denominator= 4312 numerators:, 14014 denominator= 4316 numerators:, 14027 denominator= 4320 numerators:, 14040 denominator= 4324 numerators:, 14053 denominator= 4328 numerators:, 14066 denominator= 4332 numerators:, 14079 denominator= 4336 numerators:, 14092 denominator= 4340 numerators:, 14105 denominator= 4344 numerators:, 14118 denominator= 4348 numerators:, 14131 denominator= 4352 numerators:, 14144 denominator= 4356 numerators:, 14157 denominator= 4360 numerators:, 14170 denominator= 4364 numerators:, 14183, 24002 denominator= 4366 numerators:, 24013 denominator= 4368 numerators:, 14196, 24024 denominator= 4370 numerators:, 24035 denominator= 4372 numerators:, 14209, 24046 denominator= 4374 numerators:, 24057 denominator= 4376 numerators:, 14222, 24068 denominator= 4378 numerators:, 24079 denominator= 4380 numerators:, 14235, 24090 denominator= 4382 numerators:, 24101 denominator= 4384 numerators:, 14248, 24112 denominator= 4386 numerators:, 24123 denominator= 4388 numerators:, 14261, 24134, 34007 denominator= 4390 numerators:, 24145 denominator= 4392 numerators:, 14274, 24156, 34038 denominator= 4394 numerators:, 24167 denominator= 4396 numerators:, 14287, 24178, 34069 denominator= 4398 numerators:, 24189 denominator= 4400 numerators:, 14300, 24200, 34100 denominator= 4402 numerators:, 24211 denominator= 4404 numerators:, 14313, 24222, 34131 denominator= 4406 numerators:, 24233 denominator= 4408 numerators:, 14326, 24244, 34162 denominator= 4410 numerators:, 24255 denominator= 4412 numerators:, 14339, 24266, 34193, 54047 denominator= 4414 numerators:, 24277, 64003 denominator= 4416 numerators:, 14352, 24288, 34224, 54096, 64032 denominator= 4418 numerators:, 24299, 64061 denominator= 4420 numerators:, 14365, 24310, 34255, 54145, 64090, 74035 denominator= 4422 numerators:, 24321, 64119 denominator= 4424 numerators:, 14378, 24332, 34286, 54194, 64148, 74102, 94010 denominator= 4426 numerators:, 24343, 64177, 104011 denominator= 4428 numerators:, 14391, 24354, 34317, 54243, 64206, 74169, 94095, 104058, 114021 denominator= 4430 numerators:, 24365, 64235, 104105 denominator= 4432 numerators:, 14404, 24376, 34348, 54292, 64264, 74236, 94180, 104152, 114124, 134068, 144040, 154012 denominator= 4434 numerators:, 24387, 64293, 104199, 144105, 184011 denominator= 4436 numerators:, 14417, 24398, 34379, 54341, 64322, 74303, 94265, 104246, 114227, 134189, 144170, 154151, 174113, 184094, 194075, 214037, 224018 denominator= 4438 numerators:, 24409, 64351, 104293, 144235, 184177, 224119, 264061, 304003 denominator= 4440 numerators:, 14430, 24420, 34410, 54390, 64380, 74370, 94350, 104340, 114330, 134310, 144300, 154290, 174270, 184260, 194250, 214230, 224220, 234210, 254190, 264180, 274170, 294150, 304140, 314130, 334110, 344100, 354090, 374070, 384060, 394050, 414030, 424020, 434010 denominator= 4442 numerators:, 24431, 64409, 104387, 144365, 184343, 224321, 264299, 304277, 344255, 384233, 424211, 464189, 504167, 544145, 584123, 624101, 664079, 704057, 744035, 784013 denominator= 5360 numerators:, 15008 denominator= 5365 numerators:, 15022 denominator= 5370 numerators:, 15036 denominator= 5375 numerators:, 15050 denominator= 5380 numerators:, 15064 denominator= 5385 numerators:, 15078 denominator= 5390 numerators:, 15092 denominator= 5395 numerators:, 15106 denominator= 5400 numerators:, 15120 denominator= 5405 numerators:, 15134 denominator= 5410 numerators:, 15148 denominator= 5415 numerators:, 15162 denominator= 5420 numerators:, 15176 denominator= 5425 numerators:, 15190 denominator= 5430 numerators:, 15204 denominator= 5435 numerators:, 15218, 25001 denominator= 5440 numerators:, 15232, 25024 denominator= 5445 numerators:, 15246, 25047 denominator= 5450 numerators:, 15260, 25070 denominator= 5455 numerators:, 15274, 25093 denominator= 5460 numerators:, 15288, 25116 denominator= 5465 numerators:, 15302, 25139 denominator= 5470 numerators:, 15316, 25162, 35008 denominator= 5475 numerators:, 15330, 25185, 35040 denominator= 5480 numerators:, 15344, 25208, 35072 denominator= 5485 numerators:, 15358, 25231, 35104 denominator= 5490 numerators:, 15372, 25254, 35136, 45018 denominator= 5495 numerators:, 15386, 25277, 35168, 45059 denominator= 5500 numerators:, 15400, 25300, 35200, 45100 denominator= 5505 numerators:, 15414, 25323, 35232, 45141 denominator= 5510 numerators:, 15428, 25346, 35264, 45182, 65018 denominator= 5515 numerators:, 15442, 25369, 35296, 45223, 65077, 75004 denominator= 5520 numerators:, 15456, 25392, 35328, 45264, 65136, 75072, 85008 denominator= 5525 numerators:, 15470, 25415, 35360, 45305, 65195, 75140, 85085, 95030 denominator= 5530 numerators:, 15484, 25438, 35392, 45346, 65254, 75208, 85162, 95116, 115024 denominator= 5535 numerators:, 15498, 25461, 35424, 45387, 65313, 75276, 85239, 95202, 115128, 125091, 135054, 145017 denominator= 5540 numerators:, 15512, 25484, 35456, 45428, 65372, 75344, 85316, 95288, 115232, 125204, 135176, 145148, 165092, 175064, 185036, 195008 denominator= 5545 numerators:, 15526, 25507, 35488, 45469, 65431, 75412, 85393, 95374, 115336, 125317, 135298, 145279, 165241, 175222, 185203, 195184, 215146, 225127, 235108, 245089, 265051, 275032, 285013 denominator= 5550 numerators:, 15540, 25530, 35520, 45510, 65490, 75480, 85470, 95460, 115440, 125430, 135420, 145410, 165390, 175380, 185370, 195360, 215340, 225330, 235320, 245310, 265290, 275280, 285270, 295260, 315240, 325230, 335220, 345210, 365190, 375180, 385170, 395160, 415140, 425130, 435120, 445110, 465090, 475080, 485070, 495060, 515040, 525030, 535020, 545010 denominator= 6400 numerators:, 16000 denominator= 6402 numerators:, 16005 denominator= 6404 numerators:, 16010 denominator= 6406 numerators:, 16015 denominator= 6408 numerators:, 16020 denominator= 6410 numerators:, 16025 denominator= 6412 numerators:, 16030 denominator= 6414 numerators:, 16035 denominator= 6416 numerators:, 16040 denominator= 6418 numerators:, 16045 denominator= 6420 numerators:, 16050 denominator= 6422 numerators:, 16055 denominator= 6424 numerators:, 16060 denominator= 6426 numerators:, 16065 denominator= 6428 numerators:, 16070 denominator= 6430 numerators:, 16075 denominator= 6432 numerators:, 16080 denominator= 6434 numerators:, 16085 denominator= 6436 numerators:, 16090 denominator= 6438 numerators:, 16095 denominator= 6440 numerators:, 16100 denominator= 6442 numerators:, 16105 denominator= 6444 numerators:, 16110 denominator= 6446 numerators:, 16115 denominator= 6448 numerators:, 16120 denominator= 6450 numerators:, 16125 denominator= 6452 numerators:, 16130 denominator= 6454 numerators:, 16135 denominator= 6456 numerators:, 16140 denominator= 6458 numerators:, 16145 denominator= 6460 numerators:, 16150 denominator= 6462 numerators:, 16155 denominator= 6464 numerators:, 16160 denominator= 6466 numerators:, 16165 denominator= 6468 numerators:, 16170 denominator= 6470 numerators:, 16175 denominator= 6472 numerators:, 16180 denominator= 6474 numerators:, 16185 denominator= 6476 numerators:, 16190 denominator= 6478 numerators:, 16195 denominator= 6480 numerators:, 16200 denominator= 6482 numerators:, 16205 denominator= 6484 numerators:, 16210 denominator= 6486 numerators:, 16215 denominator= 6488 numerators:, 16220 denominator= 6490 numerators:, 16225 denominator= 6492 numerators:, 16230 denominator= 6494 numerators:, 16235 denominator= 6496 numerators:, 16240 denominator= 6498 numerators:, 16245 denominator= 6500 numerators:, 16250 denominator= 6502 numerators:, 16255 denominator= 6504 numerators:, 16260 denominator= 6506 numerators:, 16265 denominator= 6508 numerators:, 16270 denominator= 6510 numerators:, 16275 denominator= 6512 numerators:, 16280 denominator= 6514 numerators:, 16285 denominator= 6516 numerators:, 16290 denominator= 6518 numerators:, 16295 denominator= 6520 numerators:, 16300 denominator= 6522 numerators:, 16305 denominator= 6524 numerators:, 16310 denominator= 6526 numerators:, 16315 denominator= 6528 numerators:, 16320 denominator= 6530 numerators:, 16325 denominator= 6532 numerators:, 16330 denominator= 6534 numerators:, 16335 denominator= 6536 numerators:, 16340 denominator= 6538 numerators:, 16345 denominator= 6540 numerators:, 16350 denominator= 6542 numerators:, 16355 denominator= 6544 numerators:, 16360 denominator= 6546 numerators:, 16365, 36003 denominator= 6548 numerators:, 16370, 36014 denominator= 6550 numerators:, 16375, 36025 denominator= 6552 numerators:, 16380, 36036 denominator= 6554 numerators:, 16385, 36047 denominator= 6556 numerators:, 16390, 36058 denominator= 6558 numerators:, 16395, 36069 denominator= 6560 numerators:, 16400, 36080 denominator= 6562 numerators:, 16405, 36091 denominator= 6564 numerators:, 16410, 36102 denominator= 6566 numerators:, 16415, 36113 denominator= 6568 numerators:, 16420, 36124 denominator= 6570 numerators:, 16425, 36135 denominator= 6572 numerators:, 16430, 36146 denominator= 6574 numerators:, 16435, 36157 denominator= 6576 numerators:, 16440, 36168 denominator= 6578 numerators:, 16445, 36179 denominator= 6580 numerators:, 16450, 36190 denominator= 6582 numerators:, 16455, 36201 denominator= 6584 numerators:, 16460, 36212 denominator= 6586 numerators:, 16465, 36223 denominator= 6588 numerators:, 16470, 36234 denominator= 6590 numerators:, 16475, 36245, 56015 denominator= 6592 numerators:, 16480, 36256, 56032 denominator= 6594 numerators:, 16485, 36267, 56049 denominator= 6596 numerators:, 16490, 36278, 56066 denominator= 6598 numerators:, 16495, 36289, 56083 denominator= 6600 numerators:, 16500, 36300, 56100 denominator= 6602 numerators:, 16505, 36311, 56117 denominator= 6604 numerators:, 16510, 36322, 56134 denominator= 6606 numerators:, 16515, 36333, 56151 denominator= 6608 numerators:, 16520, 36344, 56168 denominator= 6610 numerators:, 16525, 36355, 56185, 76015 denominator= 6612 numerators:, 16530, 36366, 56202, 76038 denominator= 6614 numerators:, 16535, 36377, 56219, 76061 denominator= 6616 numerators:, 16540, 36388, 56236, 76084 denominator= 6618 numerators:, 16545, 36399, 56253, 76107 denominator= 6620 numerators:, 16550, 36410, 56270, 76130 denominator= 6622 numerators:, 16555, 36421, 56287, 76153, 96019 denominator= 6624 numerators:, 16560, 36432, 56304, 76176, 96048 denominator= 6626 numerators:, 16565, 36443, 56321, 76199, 96077 denominator= 6628 numerators:, 16570, 36454, 56338, 76222, 96106 denominator= 6630 numerators:, 16575, 36465, 56355, 76245, 96135, 116025 denominator= 6632 numerators:, 16580, 36476, 56372, 76268, 96164, 116060 denominator= 6634 numerators:, 16585, 36487, 56389, 76291, 96193, 116095 denominator= 6636 numerators:, 16590, 36498, 56406, 76314, 96222, 116130, 136038 denominator= 6638 numerators:, 16595, 36509, 56423, 76337, 96251, 116165, 136079 denominator= 6640 numerators:, 16600, 36520, 56440, 76360, 96280, 116200, 136120, 156040 denominator= 6642 numerators:, 16605, 36531, 56457, 76383, 96309, 116235, 136161, 156087, 176013 denominator= 6644 numerators:, 16610, 36542, 56474, 76406, 96338, 116270, 136202, 156134, 176066 denominator= 6646 numerators:, 16615, 36553, 56491, 76429, 96367, 116305, 136243, 156181, 176119, 196057 denominator= 6648 numerators:, 16620, 36564, 56508, 76452, 96396, 116340, 136284, 156228, 176172, 196116, 216060, 236004 denominator= 6650 numerators:, 16625, 36575, 56525, 76475, 96425, 116375, 136325, 156275, 176225, 196175, 216125, 236075, 256025 denominator= 6652 numerators:, 16630, 36586, 56542, 76498, 96454, 116410, 136366, 156322, 176278, 196234, 216190, 236146, 256102, 276058, 296014 denominator= 6654 numerators:, 16635, 36597, 56559, 76521, 96483, 116445, 136407, 156369, 176331, 196293, 216255, 236217, 256179, 276141, 296103, 316065, 336027 denominator= 6656 numerators:, 16640, 36608, 56576, 76544, 96512, 116480, 136448, 156416, 176384, 196352, 216320, 236288, 256256, 276224, 296192, 316160, 336128, 356096, 376064, 396032, 416000 denominator= 6658 numerators:, 16645, 36619, 56593, 76567, 96541, 116515, 136489, 156463, 176437, 196411, 216385, 236359, 256333, 276307, 296281, 316255, 336229, 356203, 376177, 396151, 416125, 436099, 456073, 476047, 496021 denominator= 6660 numerators:, 16650, 36630, 56610, 76590, 96570, 116550, 136530, 156510, 176490, 196470, 216450, 236430, 256410, 276390, 296370, 316350, 336330, 356310, 376290, 396270, 416250, 436230, 456210, 476190, 496170, 516150, 536130, 556110, 576090, 596070, 616050, 636030, 656010 denominator= 6662 numerators:, 16655, 36641, 56627, 76613, 96599, 116585, 136571, 156557, 176543, 196529, 216515, 236501, 256487, 276473, 296459, 316445, 336431, 356417, 376403, 396389, 416375, 436361, 456347, 476333, 496319, 516305, 536291, 556277, 576263, 596249, 616235, 636221, 656207, 676193, 696179, 716165, 736151, 756137, 776123, 796109, 816095, 836081, 856067, 876053, 896039, 916025, 936011 denominator= 6664 numerators:, 16660, 36652, 56644, 76636, 96628, 116620, 136612, 156604, 176596, 196588, 216580, 236572, 256564, 276556, 296548, 316540, 336532, 356524, 376516, 396508, 416500, 436492, 456484, 476476, 496468, 516460, 536452, 556444, 576436, 596428, 616420, 636412, 656404, 676396, 696388, 716380, 736372, 756364, 776356, 796348, 816340, 836332, 856324, 876316, 896308, 916300, 936292, 956284, 976276, 996268, 1016260, 1036252, 1056244, 1076236, 1096228, 1116220, 1136212, 1156204, 1176196, 1196188, 1216180, 1236172, 1256164, 1276156, 1296148, 1316140, 1336132, 1356124, 1376116, 1396108, 1416100, 1436092, 1456084, 1476076, 1496068, 1516060, 1536052, 1556044, 1576036, 1596028, 1616020, 1636012, 1656004 denominator= 7441 numerators:, 17008 denominator= 7448 numerators:, 17024 denominator= 7455 numerators:, 17040 denominator= 7462 numerators:, 17056 denominator= 7469 numerators:, 17072 denominator= 7476 numerators:, 17088 denominator= 7483 numerators:, 17104 denominator= 7490 numerators:, 17120 denominator= 7497 numerators:, 17136 denominator= 7504 numerators:, 17152 denominator= 7511 numerators:, 17168 denominator= 7518 numerators:, 17184 denominator= 7525 numerators:, 17200 denominator= 7532 numerators:, 17216 denominator= 7539 numerators:, 17232 denominator= 7546 numerators:, 17248 denominator= 7553 numerators:, 17264 denominator= 7560 numerators:, 17280, 27000 denominator= 7567 numerators:, 17296, 27025 denominator= 7574 numerators:, 17312, 27050 denominator= 7581 numerators:, 17328, 27075 denominator= 7588 numerators:, 17344, 27100 denominator= 7595 numerators:, 17360, 27125 denominator= 7602 numerators:, 17376, 27150 denominator= 7609 numerators:, 17392, 27175 denominator= 7616 numerators:, 17408, 27200 denominator= 7623 numerators:, 17424, 27225, 37026 denominator= 7630 numerators:, 17440, 27250, 37060 denominator= 7637 numerators:, 17456, 27275, 37094 denominator= 7644 numerators:, 17472, 27300, 37128 denominator= 7651 numerators:, 17488, 27325, 37162 denominator= 7658 numerators:, 17504, 27350, 37196, 47042 denominator= 7665 numerators:, 17520, 27375, 37230, 47085 denominator= 7672 numerators:, 17536, 27400, 37264, 47128 denominator= 7679 numerators:, 17552, 27425, 37298, 47171, 57044 denominator= 7686 numerators:, 17568, 27450, 37332, 47214, 57096 denominator= 7693 numerators:, 17584, 27475, 37366, 47257, 57148, 67039 denominator= 7700 numerators:, 17600, 27500, 37400, 47300, 57200, 67100 denominator= 7707 numerators:, 17616, 27525, 37434, 47343, 57252, 67161 denominator= 7714 numerators:, 17632, 27550, 37468, 47386, 57304, 67222, 87058 denominator= 7721 numerators:, 17648, 27575, 37502, 47429, 57356, 67283, 87137, 97064 denominator= 7728 numerators:, 17664, 27600, 37536, 47472, 57408, 67344, 87216, 97152, 107088, 117024 denominator= 7735 numerators:, 17680, 27625, 37570, 47515, 57460, 67405, 87295, 97240, 107185, 117130, 127075, 137020 denominator= 7742 numerators:, 17696, 27650, 37604, 47558, 57512, 67466, 87374, 97328, 107282, 117236, 127190, 137144, 157052, 167006 denominator= 7749 numerators:, 17712, 27675, 37638, 47601, 57564, 67527, 87453, 97416, 107379, 117342, 127305, 137268, 157194, 167157, 177120, 187083, 197046, 207009 denominator= 7756 numerators:, 17728, 27700, 37672, 47644, 57616, 67588, 87532, 97504, 107476, 117448, 127420, 137392, 157336, 167308, 177280, 187252, 197224, 207196, 227140, 237112, 247084, 257056, 267028, 277000 denominator= 7763 numerators:, 17744, 27725, 37706, 47687, 57668, 67649, 87611, 97592, 107573, 117554, 127535, 137516, 157478, 167459, 177440, 187421, 197402, 207383, 227345, 237326, 247307, 257288, 267269, 277250, 297212, 307193, 317174, 327155, 337136, 347117, 367079, 377060, 387041, 397022, 407003 denominator= 7770 numerators:, 17760, 27750, 37740, 47730, 57720, 67710, 87690, 97680, 107670, 117660, 127650, 137640, 157620, 167610, 177600, 187590, 197580, 207570, 227550, 237540, 247530, 257520, 267510, 277500, 297480, 307470, 317460, 327450, 337440, 347430, 367410, 377400, 387390, 397380, 407370, 417360, 437340, 447330, 457320, 467310, 477300, 487290, 507270, 517260, 527250, 537240, 547230, 557220, 577200, 587190, 597180, 607170, 617160, 627150, 647130, 657120, 667110, 677100, 687090, 697080, 717060, 727050, 737040, 747030, 757020, 767010 denominator= 8472 numerators:, 18003 denominator= 8480 numerators:, 18020 denominator= 8488 numerators:, 18037 denominator= 8496 numerators:, 18054 denominator= 8504 numerators:, 18071 denominator= 8512 numerators:, 18088 denominator= 8520 numerators:, 18105 denominator= 8528 numerators:, 18122 denominator= 8536 numerators:, 18139 denominator= 8544 numerators:, 18156 denominator= 8552 numerators:, 18173 denominator= 8560 numerators:, 18190 denominator= 8568 numerators:, 18207 denominator= 8576 numerators:, 18224 denominator= 8584 numerators:, 18241 denominator= 8592 numerators:, 18258 denominator= 8600 numerators:, 18275 denominator= 8608 numerators:, 18292 denominator= 8616 numerators:, 18309, 28002 denominator= 8620 numerators:, 28015 denominator= 8624 numerators:, 18326, 28028 denominator= 8628 numerators:, 28041 denominator= 8632 numerators:, 18343, 28054 denominator= 8636 numerators:, 28067 denominator= 8640 numerators:, 18360, 28080 denominator= 8644 numerators:, 28093 denominator= 8648 numerators:, 18377, 28106 denominator= 8652 numerators:, 28119 denominator= 8656 numerators:, 18394, 28132 denominator= 8660 numerators:, 28145 denominator= 8664 numerators:, 18411, 28158 denominator= 8668 numerators:, 28171 denominator= 8672 numerators:, 18428, 28184 denominator= 8676 numerators:, 28197 denominator= 8680 numerators:, 18445, 28210 denominator= 8684 numerators:, 28223 denominator= 8688 numerators:, 18462, 28236, 38010 denominator= 8692 numerators:, 28249 denominator= 8696 numerators:, 18479, 28262, 38045 denominator= 8700 numerators:, 28275 denominator= 8704 numerators:, 18496, 28288, 38080 denominator= 8708 numerators:, 28301 denominator= 8712 numerators:, 18513, 28314, 38115 denominator= 8716 numerators:, 28327 denominator= 8720 numerators:, 18530, 28340, 38150 denominator= 8724 numerators:, 28353 denominator= 8728 numerators:, 18547, 28366, 38185, 48004 denominator= 8730 numerators:, 48015 denominator= 8732 numerators:, 28379, 48026 denominator= 8734 numerators:, 48037 denominator= 8736 numerators:, 18564, 28392, 38220, 48048 denominator= 8738 numerators:, 48059 denominator= 8740 numerators:, 28405, 48070 denominator= 8742 numerators:, 48081 denominator= 8744 numerators:, 18581, 28418, 38255, 48092 denominator= 8746 numerators:, 48103 denominator= 8748 numerators:, 28431, 48114 denominator= 8750 numerators:, 48125 denominator= 8752 numerators:, 18598, 28444, 38290, 48136 denominator= 8754 numerators:, 48147 denominator= 8756 numerators:, 28457, 48158 denominator= 8758 numerators:, 48169 denominator= 8760 numerators:, 18615, 28470, 38325, 48180, 58035 denominator= 8762 numerators:, 48191 denominator= 8764 numerators:, 28483, 48202 denominator= 8766 numerators:, 48213 denominator= 8768 numerators:, 18632, 28496, 38360, 48224, 58088 denominator= 8770 numerators:, 48235 denominator= 8772 numerators:, 28509, 48246 denominator= 8774 numerators:, 48257 denominator= 8776 numerators:, 18649, 28522, 38395, 48268, 58141, 68014 denominator= 8778 numerators:, 48279 denominator= 8780 numerators:, 28535, 48290, 68045 denominator= 8782 numerators:, 48301 denominator= 8784 numerators:, 18666, 28548, 38430, 48312, 58194, 68076 denominator= 8786 numerators:, 48323 denominator= 8788 numerators:, 28561, 48334, 68107 denominator= 8790 numerators:, 48345 denominator= 8792 numerators:, 18683, 28574, 38465, 48356, 58247, 68138, 78029 denominator= 8794 numerators:, 48367 denominator= 8796 numerators:, 28587, 48378, 68169 denominator= 8798 numerators:, 48389 denominator= 8800 numerators:, 18700, 28600, 38500, 48400, 58300, 68200, 78100 denominator= 8802 numerators:, 48411 denominator= 8804 numerators:, 28613, 48422, 68231 denominator= 8806 numerators:, 48433 denominator= 8808 numerators:, 18717, 28626, 38535, 48444, 58353, 68262, 78171 denominator= 8810 numerators:, 48455 denominator= 8812 numerators:, 28639, 48466, 68293 denominator= 8814 numerators:, 48477 denominator= 8816 numerators:, 18734, 28652, 38570, 48488, 58406, 68324, 78242, 98078 denominator= 8818 numerators:, 48499 denominator= 8820 numerators:, 28665, 48510, 68355, 108045 denominator= 8822 numerators:, 48521 denominator= 8824 numerators:, 18751, 28678, 38605, 48532, 58459, 68386, 78313, 98167, 108094, 118021 denominator= 8826 numerators:, 48543 denominator= 8828 numerators:, 28691, 48554, 68417, 108143, 128006 denominator= 8830 numerators:, 48565, 128035 denominator= 8832 numerators:, 18768, 28704, 38640, 48576, 58512, 68448, 78384, 98256, 108192, 118128, 128064, 138000 denominator= 8834 numerators:, 48587, 128093 denominator= 8836 numerators:, 28717, 48598, 68479, 108241, 128122, 148003 denominator= 8838 numerators:, 48609, 128151 denominator= 8840 numerators:, 18785, 28730, 38675, 48620, 58565, 68510, 78455, 98345, 108290, 118235, 128180, 138125, 148070, 158015 denominator= 8842 numerators:, 48631, 128209 denominator= 8844 numerators:, 28743, 48642, 68541, 108339, 128238, 148137 denominator= 8846 numerators:, 48653, 128267 denominator= 8848 numerators:, 18802, 28756, 38710, 48664, 58618, 68572, 78526, 98434, 108388, 118342, 128296, 138250, 148204, 158158, 178066, 188020 denominator= 8850 numerators:, 48675, 128325 denominator= 8852 numerators:, 28769, 48686, 68603, 108437, 128354, 148271, 188105, 208022 denominator= 8854 numerators:, 48697, 128383, 208069 denominator= 8856 numerators:, 18819, 28782, 38745, 48708, 58671, 68634, 78597, 98523, 108486, 118449, 128412, 138375, 148338, 158301, 178227, 188190, 198153, 208116, 218079, 228042, 238005 denominator= 8858 numerators:, 48719, 128441, 208163 denominator= 8860 numerators:, 28795, 48730, 68665, 108535, 128470, 148405, 188275, 208210, 228145, 268015 denominator= 8862 numerators:, 48741, 128499, 208257, 288015 denominator= 8864 numerators:, 18836, 28808, 38780, 48752, 58724, 68696, 78668, 98612, 108584, 118556, 128528, 138500, 148472, 158444, 178388, 188360, 198332, 208304, 218276, 228248, 238220, 258164, 268136, 278108, 288080, 298052, 308024 denominator= 8866 numerators:, 48763, 128557, 208351, 288145 denominator= 8868 numerators:, 28821, 48774, 68727, 108633, 128586, 148539, 188445, 208398, 228351, 268257, 288210, 308163, 348069, 368022 denominator= 8870 numerators:, 48785, 128615, 208445, 288275, 368105 denominator= 8872 numerators:, 18853, 28834, 38815, 48796, 58777, 68758, 78739, 98701, 108682, 118663, 128644, 138625, 148606, 158587, 178549, 188530, 198511, 208492, 218473, 228454, 238435, 258397, 268378, 278359, 288340, 298321, 308302, 318283, 338245, 348226, 358207, 368188, 378169, 388150, 398131, 418093, 428074, 438055, 448036, 458017 denominator= 8874 numerators:, 48807, 128673, 208539, 288405, 368271, 448137, 528003 denominator= 8876 numerators:, 28847, 48818, 68789, 108731, 128702, 148673, 188615, 208586, 228557, 268499, 288470, 308441, 348383, 368354, 388325, 428267, 448238, 468209, 508151, 528122, 548093, 588035, 608006 denominator= 8878 numerators:, 48829, 128731, 208633, 288535, 368437, 448339, 528241, 608143, 688045 denominator= 8880 numerators:, 18870, 28860, 38850, 48840, 58830, 68820, 78810, 98790, 108780, 118770, 128760, 138750, 148740, 158730, 178710, 188700, 198690, 208680, 218670, 228660, 238650, 258630, 268620, 278610, 288600, 298590, 308580, 318570, 338550, 348540, 358530, 368520, 378510, 388500, 398490, 418470, 428460, 438450, 448440, 458430, 468420, 478410, 498390, 508380, 518370, 528360, 538350, 548340, 558330, 578310, 588300, 598290, 608280, 618270, 628260, 638250, 658230, 668220, 678210, 688200, 698190, 708180, 718170, 738150, 748140, 758130, 768120, 778110, 788100, 798090, 818070, 828060, 838050, 848040, 858030, 868020, 878010 denominator= 8882 numerators:, 48851, 128789, 208727, 288665, 368603, 448541, 528479, 608417, 688355, 768293, 848231, 928169, 1008107, 1088045 denominator= 8884 numerators:, 28873, 48862, 68851, 108829, 128818, 148807, 188785, 208774, 228763, 268741, 288730, 308719, 348697, 368686, 388675, 428653, 448642, 468631, 508609, 528598, 548587, 588565, 608554, 628543, 668521, 688510, 708499, 748477, 768466, 788455, 828433, 848422, 868411, 908389, 928378, 948367, 988345, 1008334, 1028323, 1068301, 1088290, 1108279, 1148257, 1168246, 1188235, 1228213, 1248202, 1268191, 1308169, 1328158, 1348147, 1388125, 1408114, 1428103, 1468081, 1488070, 1508059, 1548037, 1568026, 1588015 denominator= 8886 numerators:, 48873, 128847, 208821, 288795, 368769, 448743, 528717, 608691, 688665, 768639, 848613, 928587, 1008561, 1088535, 1168509, 1248483, 1328457, 1408431, 1488405, 1568379, 1648353, 1728327, 1808301, 1888275, 1968249, 2048223, 2128197, 2208171, 2288145, 2368119, 2448093, 2528067, 2608041, 2688015 ------------------------------------------------------------------------- This ends this book that took, 736.838, seconds to generate.