FPeriod 3.67 INPUT -------------------- output after each no trunc outBto22 2 [1,22] BEGIN DEFINITIONS A = t(2, 0110) //note A = t(2, 0110) is equivalent to //OPT A = x[0] + x[1] B = x[0] + x[1]*x[2] BEGIN COMMANDS B -------------------- Full output COMMAND: B WITH DEFINITIONS: B = x[0]+x[1]*x[2] PERIOD K (NOT LEAST) K FracPdc P^(1/k) L^(1/k) P L Not-P AvgPd AvgPrepd MaxPrepd 1 0.500000 1.0000 1.0000 1 1 1 1.00 0.50 1.00 2 0.750000 1.7321 1.0000 3 1 1 1.00 0.25 1.00 3 0.500000 1.5874 1.0000 4 1 4 1.00 0.88 2.00 4 0.687500 1.8212 1.4142 11 4 5 2.50 0.31 1.00 5 0.812500 1.9186 1.7188 26 15 6 9.75 0.19 1.00 6 0.281250 1.6189 1.0000 18 1 46 1.00 3.95 8.00 7 0.609375 1.8634 1.7436 78 49 50 37.75 0.94 5.00 8 0.667969 1.9016 1.8193 171 120 85 75.94 0.86 6.00 9 0.482422 1.8444 1.5577 247 54 265 44.93 2.83 12.00 10 0.535156 1.8788 1.8251 548 410 476 345.04 2.85 17.00 11 0.183105 1.7140 1.6001 375 176 1673 158.91 28.00 73.00 12 0.176270 1.7307 1.4066 722 60 3374 6.38 37.95 85.00 13 0.200073 1.7672 1.5903 1639 416 6553 220.46 19.73 76.00 14 0.212524 1.7906 1.6233 3482 882 12902 483.97 42.97 153.00 15 0.231598 1.8142 1.5945 7589 1095 25179 523.90 42.69 191.00 16 0.117599 1.7496 1.6381 7707 2688 57829 1422.26 159.56 457.00 17 0.078995 1.7226 1.6085 10354 3230 120718 2481.50 371.77 938.00 18 0.078449 1.7363 1.3787 20565 324 241579 302.81 350.15 1155.00 19 0.061646 1.7272 1.6494 32320 13471 491968 12128.71 404.87 1233.00 20 0.065800 1.7456 1.6457 68996 21240 979580 15870.41 285.87 1063.00 21 0.032823 1.6997 1.5632 68835 11865 2028317 816.87 1050.92 3506.00 22 0.021364 1.6792 1.6034 89609 32428 4104695 20280.02 1335.34 5030.00 K Period Mult(#orbits) Mult(#perpoints) Mult(#points) 1 1 1 1 2 2 1 3 3 4 3 1 4 4 8 4 1 7 7 8 4 1 4 8 5 1 11 11 12 15 1 15 20 6 1 18 18 64 7 1 29 29 30 49 1 49 98 8 1 47 47 48 4 1 4 48 120 1 120 160 9 1 76 76 80 9 1 9 9 54 3 162 423 10 1 123 123 124 15 1 15 40 410 1 410 860 11 1 199 199 200 176 1 176 1848 12 1 322 322 3692 4 1 4 8 56 6 336 336 60 1 60 60 13 1 521 521 522 10 13 130 650 26 1 26 117 143 1 143 3900 403 1 403 845 416 1 416 2158 14 1 843 843 844 49 1 49 602 161 2 322 2212 448 2 896 7686 490 1 490 882 882 1 882 4158 15 1 1364 1364 1368 15 1 15 20 180 1 180 180 399 5 1995 8625 450 3 1350 15705 530 3 1590 1590 1095 1 1095 5280 16 1 2207 2207 2208 4 1 4 6192 120 1 120 23520 2688 2 5376 33616 17 1 3571 3571 3572 1020 1 1020 1530 2533 1 2533 119357 3230 1 3230 6613 18 1 5778 5778 5824 9 1 9 9 38 36 1368 3834 54 3 162 4815 108 6 648 648 216 6 1296 7740 296 36 10656 10656 324 2 648 228618 19 1 9349 9349 9350 76 1 76 76 133 2 266 14421 171 1 171 171 646 1 646 2755 4161 1 4161 25156 4180 1 4180 12122 13471 1 13471 460237 20 1 15127 15127 15128 4 1 4 8 15 1 15 1000 132 5 660 1560 140 4 560 560 410 1 410 9420 5240 2 10480 306300 20500 1 20500 197240 21240 1 21240 517360 21 1 24476 24476 24480 14 3 42 42 21 2 42 42 49 1 49 98 57 21 1197 1197 266 3 798 1949766 2618 6 15708 15708 4886 3 14658 14658 11865 1 11865 91161 22 1 39603 39603 39604 132 2 264 264 176 1 176 910272 660 1 660 1100 1067 2 2134 112948 14344 1 14344 924814 32428 1 32428 2205302 LEAST PERIOD K K FracPdc P^(1/k) L^(1/k) P L Not-P AvgPd AvgPrepd MaxPrepd 1 0.500000 1.0000 1.0000 1 1 1 1.00 0.50 1.00 2 1.000000 1.4142 1.0000 2 1 0 1.00 0.00 0.00 3 0.500000 1.4422 1.0000 3 1 3 1.00 1.00 2.00 4 0.666667 1.6818 1.4142 8 4 4 3.00 0.33 1.00 5 0.833333 1.9037 1.7188 25 15 5 10.33 0.17 1.00 6 0.222222 1.5131 1.0000 12 1 42 1.00 4.56 8.00 7 0.611111 1.8599 1.7436 77 49 49 38.33 0.94 5.00 8 0.666667 1.8859 1.8193 160 120 80 80.83 0.90 6.00 9 0.482143 1.8411 1.5577 243 54 261 45.62 2.86 12.00 10 0.525253 1.8690 1.8251 520 410 470 356.58 2.94 17.00 11 0.182796 1.7136 1.6001 374 176 1672 159.06 28.03 73.00 12 0.173134 1.7254 1.4066 696 60 3324 6.48 38.61 85.00 13 0.200000 1.7671 1.5903 1638 416 6552 220.52 19.74 76.00 14 0.209302 1.7876 1.6233 3402 882 12852 487.54 43.30 153.00 15 0.230981 1.8137 1.5945 7560 1095 25170 524.49 42.74 191.00 16 0.115441 1.7471 1.6381 7536 2688 57744 1427.54 160.18 457.00 17 0.078988 1.7226 1.6085 10353 3230 120717 2481.54 371.78 938.00 18 0.077622 1.7350 1.3787 20304 324 241272 303.38 350.91 1155.00 19 0.061644 1.7272 1.6494 32319 13471 491967 12128.76 404.88 1233.00 20 0.065334 1.7449 1.6457 68440 21240 979100 15885.77 286.15 1063.00 21 0.032787 1.6996 1.5632 68754 11865 2028264 816.92 1050.99 3506.00 22 0.021285 1.6789 1.6034 89232 32428 4103022 20289.86 1335.98 5030.00 K Period Mult(#perpoints) Mult(#points) 1 1 1 2 2 1 2 2 3 1 3 6 4 1 4 4 4 4 8 5 1 10 10 15 15 20 6 1 12 54 7 1 28 28 49 49 98 8 1 40 40 4 0 40 120 120 160 9 1 72 72 9 9 9 54 162 423 10 1 110 110 15 0 20 410 410 860 11 1 198 198 176 176 1848 12 1 300 3624 56 336 336 60 60 60 13 1 520 520 10 130 650 26 26 117 143 143 3900 403 403 845 416 416 2158 14 1 812 812 49 0 504 161 322 2212 448 896 7686 490 490 882 882 882 4158 15 1 1350 1350 180 180 180 399 1995 8625 450 1350 15705 530 1590 1590 1095 1095 5280 16 1 2160 2160 4 0 6144 120 0 23360 2688 5376 33616 17 1 3570 3570 1020 1020 1530 2533 2533 119357 3230 3230 6613 18 1 5688 5688 38 1368 3834 54 0 4392 108 648 648 216 1296 7740 296 10656 10656 324 648 228618 19 1 9348 9348 76 76 76 133 266 14421 171 171 171 646 646 2755 4161 4161 25156 4180 4180 12122 13471 13471 460237 20 1 15000 15000 15 0 960 132 660 1560 140 560 560 410 0 8560 5240 10480 306300 20500 20500 197240 21240 21240 517360 21 1 24444 24444 14 42 42 21 42 42 57 1197 1197 266 798 1949766 2618 15708 15708 4886 14658 14658 11865 11865 91161 22 1 39402 39402 132 264 264 176 0 908424 660 660 1100 1067 2134 112948 14344 14344 924814 32428 32428 2205302