# 0x100d = x^13 +x^4 +x^3 +x +1 (0x100d; 0x201b) <=> (0x1b00; 0x3601) #Length Poly HW(2) HW(3) HW(4) HW(5) HW(6) HW(7) HW(8) HW(9) ... 1 0x100d 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0x100d 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0x100d 0 0 0 4 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0x100d 0 0 0 6 4 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0x100d 0 0 0 8 6 0 7 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0x100d 0 0 0 10 8 0 13 20 8 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0x100d 0 0 0 12 10 1 21 32 20 14 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0x100d 0 0 0 14 12 2 29 48 41 40 34 18 10 6 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0x100d 0 0 0 16 14 3 38 66 70 83 80 60 42 25 9 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0x100d 0 0 0 18 17 6 51 100 134 174 178 146 101 58 26 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 11 0x100d 0 0 0 20 21 13 79 162 230 322 364 309 225 153 82 36 20 8 2 1 0 0 0 0 0 0 0 0 0 0 0 12 0x100d 0 0 0 22 28 26 116 254 386 560 692 652 512 378 239 126 66 28 8 2 0 0 0 0 0 0 0 0 0 0 0 13 0x100d 0 0 0 24 36 44 168 390 640 960 1258 1298 1108 892 655 394 200 88 30 6 0 0 0 0 0 0 0 0 0 0 0 14 0x100d 0 0 0 27 47 70 239 579 1023 1601 2237 2521 2317 2013 1636 1065 573 283 111 32 8 1 0 0 0 0 0 0 0 0 0 15 0x100d 0 0 0 30 60 103 338 854 1586 2610 3902 4714 4658 4368 3819 2706 1590 846 386 144 42 9 2 0 0 0 0 0 0 0 0 16 0x100d 0 0 0 33 74 143 478 1248 2409 4188 6636 8502 9032 9106 8537 6580 4174 2380 1228 529 182 55 16 4 1 0 0 0 0 0 0 17 0x100d 0 0 0 36 91 197 662 1777 3622 6652 10932 14804 17210 18558 18017 14918 10608 6588 3588 1728 723 261 80 17 2 0 0 0 0 0 0 18 0x100d 0 0 0 40 112 267 893 2483 5385 10352 17665 25356 31684 36250 37007 32714 25326 17172 10150 5364 2500 979 331 91 17 4 1 0 0 0 0 19 0x100d 0 0 0 44 134 356 1200 3441 7892 15798 27987 42533 56740 68624 73841 69458 57728 42308 27238 15694 7974 3452 1310 413 92 22 7 1 0 0 0 20 0x100d 0 0 0 49 160 463 1596 4705 11365 23787 43707 69942 99085 126142 142937 143050 126874 99726 69574 43221 23666 11379 4810 1685 481 135 31 4 1 0 0 21 0x100d 0 0 0 56 190 597 2111 6366 16113 35205 67260 113084 169063 226186 269623 285540 269266 226194 169480 113304 66996 34945 16153 6414 2141 649 172 36 7 0 0 22 0x100d 0 0 0 63 225 754 2772 8586 22521 51278 102097 179825 282572 396280 495873 554732 554386 494732 395898 283713 180313 101650 51098 22474 8517 2854 837 207 42 4 0 23 0x100d 0 0 0 70 265 945 3605 11464 31118 73786 152990 281398 462947 679639 892185 1050848 1108276 1047564 891668 681010 463359 281647 153003 73368 30942 11482 3694 1042 245 41 6 24 0x100d 0 0 0 77 309 1168 4637 15206 42615 104847 226224 433889 745295 1143452 1571527 1942882 2157853 2155035 1941544 1573391 1142539 744960 435247 226162 104393 42517 15080 4739 1297 276 44 25 0x100d 0 0 0 86 361 1435 5903 19986 57847 147316 330322 659774 1180721 1889661 2713975 3513874 4100015 4312490 4098252 3515490 2714867 1887349 1180321 661478 330765 146752 57474 19914 6067 1555 312 26 0x100d 0 0 0 95 418 1757 7445 26046 77862 204868 476923 990157 1841834 3070843 4602823 6227440 7613438 8412342 8411835 7613929 6229446 4602451 3068159 1841590 992146 477400 204105 77579 26094 7541 1828 27 0x100d 0 0 1 106 483 2141 9317 33642 103909 282252 680950 1467687 2834024 4912891 7671697 10828744 13841027 16027566 16825838 16024981 13841400 10831571 7671819 4910626 2833387 1468624 681390 282297 103836 33397 9310 28 0x100d 0 0 2 119 559 2591 11606 43118 137375 385513 962612 2149892 4304141 7745967 12580684 18500074 24673215 29869809 32851436 32849758 29867691 24673781 18502082 12581890 7744981 4301939 2149572 964188 386327 136893 42587 29 0x100d 0 0 3 132 645 3128 14378 54860 180163 522145 1347948 3114310 6455737 12048067 20323616 31081344 43176179 54543961 62718910 65700778 62720163 54539715 43173022 31087516 20328385 12043259 6451508 3116138 1350155 522305 179543 30 0x100d 0 0 4 146 745 3759 17675 69339 234718 701567 1869998 4464291 9571378 18501403 32368936 51405223 74261158 97722763 117259246 128416723 128422596 117260797 97715052 74261137 51410746 32371165 18499050 9567577 4464798 1872617 701663 31 0x100d 0 0 5 162 859 4494 21618 87105 303699 935373 2571371 6337177 14037759 28068661 50866429 83776325 125669551 171984769 214981833 245675265 256837097 245682437 214978731 171975683 125669209 83785639 50872073 28062523 14031861 6339183 2573846 32 0x100d 0 0 6 178 987 5346 26319 108843 390319 1237922 3507030 8912282 20375570 42100426 78934792 134647742 209442194 297652426 386975434 460657318 502503496 502520646 460663412 386949684 297650160 209462438 134649650 78928894 42100590 20372398 8909983 33 0x100d 0 0 7 196 1137 6327 31885 135282 498371 1626930 4746252 12423672 29287836 34 0x100d 0 0 8 215 1302 7461 38488 167263 632530 2124075 6375457 17174116 41709648 35 0x100d 0 0 9 237 1487 8758 46243 205777 798462 2755775 8502642 23552469 58880164 36 0x100d 0 0 10 263 1694 10239 55304 251950 1002717 3553793 11262723 32057359 82425827 37 0x100d 0 0 11 290 1929 11935 65860 307111 1252923 4556423 14821692 43320871 114475364 38 0x100d 0 0 12 318 2183 13856 78149 372924 1558319 5808992 19382787 58142942 157789770 39 0x100d 0 0 13 351 2462 16026 92419 450902 1929147 7367553 25197478 77524792 215925747 40 0x100d 0 0 14 386 2773 18480 108881 543088 2377716 9297114 32571962 102720700 293440751 41 0x100d 0 0 15 423 3118 21248 127848 651651 2918071 11675698 41876967 135289689 396153892 42 0x100d 0 0 16 463 3495 24389 149673 778841 3566335 14595635 53562895 177164709 531433065 43 0x100d 0 0 18 506 3908 27927 174619 927544 4341888 18165007 68169085 230725636 708584396 44 0x100d 0 0 21 552 4362 31889 203067 1101039 5266221 22510421 86345743 298893219 939289709 45 0x100d 0 0 24 603 4865 36318 235451 1302692 6364003 27781684 108869401 385234138 1238152901 46 0x100d 0 0 27 657 5420 41258 272260 1536632 7663302 34151354 136665898 494095466 1623349522 47 0x100d 0 0 31 716 6025 46727 313950 1807537 9197037 41819855 170831187 630753007 2117402487 48 0x100d 0 0 35 780 6680 52790 361255 2120166 11000664 51022386 212668568 801571842 2748108978 49 0x100d 0 0 39 847 7402 59529 414617 2479863 13116818 62030448 263708398 50 0x100d 0 0 43 919 8185 67011 474787 2892602 15592403 75156114 325755939 51 0x100d 0 0 47 1000 9034 75262 542505 3365261 18480423 90759175 400929670 52 0x100d 0 0 51 1086 9950 84355 618635 3905598 21840523 109251051 491705479 53 0x100d 0 0 55 1176 10941 94396 703933 4521739 25741125 131104000 600969521 54 0x100d 0 0 59 1272 12025 105427 799223 5223007 30258272 156858647 732084187 55 0x100d 0 0 63 1376 13197 117514 905640 6019458 35476389 187132573 888951756 56 0x100d 0 0 68 1485 14454 130780 1024277 6922149 41490677 222625418 1076091424 57 0x100d 0 0 73 1600 15808 145333 1156356 7943034 48406732 264134255 1298724516 58 0x100d 0 0 78 1720 17261 161274 1303173 9095490 56343050 312562407 1562864768 59 0x100d 0 0 83 1850 18827 178649 1466110 10394477 65430346 368929394 1875436339 60 0x100d 0 0 88 1983 20514 197679 1646510 11855257 75816716 434390946 2244368556 61 0x100d 0 0 94 2123 22322 218400 1845938 13496180 87664887 510239849 2678752036 62 0x100d 0 0 100 2272 24274 240924 2066068 15336285 101153935 597938102 3188982869 63 0x100d 0 0 107 2430 26370 265404 2308669 17396101 116483904 699127978 3786905444 64 0x100d 0 0 114 2594 28618 292034 2575817 19697907 133873732 815649804 4486012368 65 0x100d 0 0 122 2766 31011 320927 2869811 22266496 153563681 66 0x100d 0 0 132 2948 33556 352247 3192719 25128182 175822860 67 0x100d 0 0 142 3137 36279 386199 3546945 28311787 200944573 68 0x100d 0 0 153 3335 39168 422917 3935305 31849163 229249641 69 0x100d 0 0 164 3543 42257 462557 4360377 35774421 261091782 70 0x100d 0 0 175 3761 45551 505341 4825125 40124041 296859417 71 0x100d 0 0 186 3989 49065 551448 5332546 44938011 336978540 72 0x100d 0 0 197 4227 52808 601119 5885978 50258797 381913335 73 0x100d 0 0 209 4475 56786 654568 6488916 56132682 432171543 74 0x100d 0 0 221 4740 61008 711970 7145316 62608949 488304480 75 0x100d 0 0 234 5015 65489 773699 7859020 69740226 550915196 76 0x100d 0 0 248 5300 70227 839949 8634578 77585132 620657274 77 0x100d 0 0 262 5598 75256 910971 9476332 86205388 698244285 78 0x100d 0 0 276 5910 80587 987060 10389107 95666879 784450891 79 0x100d 0 0 291 6236 86228 1068502 11377817 106040762 880120189 80 0x100d 0 0 307 6579 92168 1155653 12448268 117401505 986161874 81 0x100d 0 0 324 6937 98447 1248820 13605858 129831421 1103563508 82 0x100d 0 1 341 7313 105057 1348171 14856992 143418630 1233393865 83 0x100d 0 2 358 7702 112069 1454272 16207063 158255009 1376815952 84 0x100d 0 3 375 8109 119478 1567465 17663215 174439471 1535074991 85 0x100d 0 4 392 8536 127312 1688122 19232423 192077784 1709518561 86 0x100d 0 5 409 8982 135555 1816614 20922735 211284220 1901598650 87 0x100d 0 6 427 9446 144237 1953370 22741547 232180411 2112888136 88 0x100d 0 7 446 9932 153361 2098736 24697463 254895486 2345073228 89 0x100d 0 8 465 10437 162965 2253240 26798793 279565977 2599977735 90 0x100d 0 9 484 10971 173089 2417270 29054725 306336560 2879550489 91 0x100d 0 10 503 11529 183738 2591376 31474962 335362595 3185894118 92 0x100d 0 11 522 12106 194927 2776161 34069890 366808313 3521259723 93 0x100d 0 12 541 12708 206720 2972133 36849493 400847492 3888069317 94 0x100d 0 13 560 13329 219107 3179960 39825500 437664317 4288913364 95 0x100d 0 14 581 13966 232080 3400298 43009761 477455598 4726573882 96 0x100d 0 15 604 14625 245658 3633715 46415017 520428669 5204018105 97 0x100d 0 16 627 15312 259895 3880650 50053899 566806229 5724433611 98 0x100d 0 17 652 16019 274785 4141938 53940113 616820700 6291226397 99 0x100d 0 18 678 16760 290384 4418053 58087573 670720161 6908035284 100 0x100d 0 19 706 17529 306684 4709741 62511863 728766662 7578735930 101 0x100d 0 20 735 18332 323723 5017568 67228334 791239151 8307483024 102 0x100d 0 21 764 19164 341564 5342517 72253238 858426824 9098693124 103 0x100d 0 22 794 20023 360215 5685467 77603740 930636046 9957082886 104 0x100d 0 23 824 20914 379721 6047089 83297814 1008194519 10887671594 105 0x100d 0 24 854 21835 400113 6428288 89354229 1091445885 11895807178 106 0x100d 0 25 885 22790 421455 6829909 95791442 1180751196 12987192471 107 0x100d 0 26 916 23773 443747 7253005 102630530 1276490682 14167883402 108 0x100d 0 27 947 24793 467012 7698219 109893710 1379072190 15444296657 109 0x100d 0 28 979 25844 491262 8166744 117603151 1488915707 16823277767 110 0x100d 0 29 1011 26925 516542 8659643 125782015 1606465746 18312092243 111 0x100d 0 30 1045 28047 542900 9177721 134453555 1732193581 19918461013 112 0x100d 0 31 1079 29208 570380 9722174 143643979 1866591011 21650540994 113 0x100d 0 32 1116 30402 598983 10294255 153379352 2010176265 23517010650 114 0x100d 0 33 1154 31631 628793 10895088 163686735 2163493515 25527061098 115 0x100d 0 34 1192 32884 659862 11526145 174594679 2327113011 27690427589 116 0x100d 0 35 1230 34180 692202 12188229 186133989 2501640048 30017402458 117 0x100d 0 36 1270 35522 725826 12882508 198335568 2687707056 32518898981 118 0x100d 0 37 1311 36900 760786 13610584 211231725 2885973172 35206455216 119 0x100d 0 38 1352 38322 797133 14373592 224856098 3097133862 38092274236 120 0x100d 0 39 1393 39792 834917 15172907 239243819 3321916791 41189242090 121 0x100d 0 40 1435 41303 874166 16010005 254430909 3561086922 44510994767 122 0x100d 0 41 1478 42868 914901 16886066 270455857 3815447397 48071908454 123 0x100d 0 42 1524 44477 957168 17802941 287357020 4085830984 51887184109 124 0x100d 0 44 1572 46129 1001078 18762039 305174313 4373111745 55972839575 125 0x100d 0 46 1624 47833 1046628 19765176 323950319 4678203411 60345779921 126 0x100d 0 48 1677 49590 1093906 20813847 343729279 5002071111 65023810209 127 0x100d 0 50 1730 51402 1142992 21909658 364556241 5345720455 70025717410 128 0x100d 0 52 1785 53267 1193859 23054534 386479607 5710197257 75371275666 129 0x100d 0 54 1840 55179 1246555 24250326 409549730 130 0x100d 0 56 1895 57141 1301163 25499075 433816721 131 0x100d 0 58 1952 59154 1357729 26802808 459333134 132 0x100d 0 60 2009 61218 1416351 28163415 486153477 133 0x100d 0 62 2067 63339 1477107 29582746 514333058 134 0x100d 0 64 2126 65519 1540052 31063063 543930922 135 0x100d 0 66 2189 67771 1605198 32606073 575007543 136 0x100d 0 68 2255 70080 1672581 34214428 607627289 137 0x100d 0 70 2322 72460 1742304 35890030 641855660 138 0x100d 0 72 2390 74909 1814450 37635422 677758797 139 0x100d 0 74 2461 77432 1889037 39452990 715407002 140 0x100d 0 76 2534 80024 1966137 41345169 754873288 141 0x100d 0 78 2609 82686 2045847 43314491 796231112 142 0x100d 0 80 2685 85422 2128257 45363598 839557814 143 0x100d 0 82 2762 88233 2213445 47495153 884933774 144 0x100d 0 84 2843 91119 2301457 49712008 932439972 145 0x100d 0 86 2924 94079 2392394 52017035 982163236 146 0x100d 0 88 3006 97114 2486306 54413052 1034191220 147 0x100d 0 90 3089 100221 2583232 56903183 1088616221 148 0x100d 0 92 3176 103408 2683280 59490135 1145530300 149 0x100d 0 94 3263 106678 2786525 62177278 1205031701 150 0x100d 0 96 3351 110031 2893078 64967787 1267220151 151 0x100d 0 98 3443 113467 3002948 67864783 1332200179 152 0x100d 0 100 3535 116988 3116235 70871836 1400079255 153 0x100d 0 102 3629 120598 3233080 73992183 1470965747 154 0x100d 0 104 3724 124300 3353639 77229746 1544971035 155 0x100d 0 106 3820 128093 3477905 80587942 1622214741 156 0x100d 0 108 3918 131978 3605991 84070561 1702816663 157 0x100d 0 110 4017 135975 3738020 87680947 1786900845 158 0x100d 0 112 4118 140069 3874030 91423223 1874595908 159 0x100d 0 114 4220 144258 4014142 95301797 1966034117 160 0x100d 0 116 4323 148562 4158446 99320180 2061351896 161 0x100d 0 118 4427 152971 4307053 103482937 2160689599 162 0x100d 0 120 4533 157491 4460089 107794216 2264190188 163 0x100d 0 122 4641 162109 4617609 112258773 2372003915 164 0x100d 0 124 4751 166827 4779732 116881171 2484283446 165 0x100d 0 126 4863 171649 4946534 121665958 2601187807 166 0x100d 0 128 4978 176581 5118150 126617595 2722877722 167 0x100d 0 130 5095 181632 5294664 131740981 2849520923 168 0x100d 0 132 5212 186796 5476290 137041212 2981285756 169 0x100d 0 134 5329 192087 5663097 142522910 3118352599 170 0x100d 0 136 5449 197506 5855208 148191083 3260900343 171 0x100d 0 138 5572 203041 6052731 154051790 3409116305 172 0x100d 0 140 5697 208695 6255757 160110192 3563195002 173 0x100d 0 142 5822 214458 6464439 166372055 3723333360 174 0x100d 0 144 5949 220347 6678933 172842626 3889733549 175 0x100d 0 146 6077 226365 6899358 179527843 4062605481 176 0x100d 0 149 6208 232512 7125761 186433141 4242162970 177 0x100d 0 152 6340 238780 7358335 193565360 4428627280 178 0x100d 0 155 6474 245156 7597224 200930752 4622222847 179 0x100d 0 158 6611 251660 7842481 208535425 4823185509 180 0x100d 0 161 6749 258317 8094316 216385537 5031751471 181 0x100d 0 164 6888 265109 8352975 224487403 5248163817 182 0x100d 0 167 7029 272032 8618556 232848230 5472674148 183 0x100d 0 170 7172 279105 8891108 241473991 5705544624 184 0x100d 0 173 7318 286334 9170732 250371879 5947042255 185 0x100d 0 176 7465 293698 9457747 259549989 6197433739 186 0x100d 0 179 7613 301214 9752169 269015078 6457003965 187 0x100d 0 182 7762 308878 10054301 278774755 6726035583 188 0x100d 0 185 7913 316710 10364198 288835908 7004823376 189 0x100d 0 188 8067 324714 10681906 299206426 7293672403 190 0x100d 0 191 8222 332863 11007748 309895187 7592888761 191 0x100d 0 194 8381 341168 11341717 320909700 7902794654 192 0x100d 0 197 8541 349658 11684112 332257500 8223711824 193 0x100d 0 200 8704 358306 12035115 343947868 8555972729 194 0x100d 0 203 8867 367145 12394834 355988721 8899922966 195 0x100d 0 206 9032 376155 12763567 368388628 9255908379 196 0x100d 0 209 9199 385346 13141313 381157103 9624292926 197 0x100d 0 212 9368 394706 13528299 394303592 10005444838 198 0x100d 0 215 9540 404262 13924725 407836159 10399737611 199 0x100d 0 218 9714 414009 14330787 421764697 10807560944 200 0x100d 0 221 9890 423940 14746646 436099482 11229311299 201 0x100d 0 224 10072 434054 15172442 450849742 11665393187 202 0x100d 0 228 10257 444364 15608449 466024801 12116218015 203 0x100d 0 232 10443 454858 16054902 481635655 12582216462 204 0x100d 0 236 10634 465556 16511871 497692318 13063823680 205 0x100d 0 240 10831 476460 16979593 514205037 13561481845 206 0x100d 0 244 11029 487568 17458334 531185094 14075651030 207 0x100d 0 248 11228 498891 17948195 548643339 14606802346 208 0x100d 0 252 11430 510405 18449439 566591303 15155411249 209 0x100d 0 256 11637 522133 18962177 585039564 15721965267 210 0x100d 0 260 11845 534072 19486763 604000732 16306964781 211 0x100d 0 264 12061 546247 20023314 623485253 16910920676 212 0x100d 0 268 12281 558644 20572115 643506351 17534355798 213 0x100d 0 272 12502 571257 21133484 664076660 18177808148 214 0x100d 0 276 12726 584102 21707493 685208065 18841828655 215 0x100d 0 280 12955 597178 22294465 706913079 19526974290 216 0x100d 0 284 13186 610495 22894674 729204485 20233819511 217 0x100d 0 288 13419 624060 23508346 752095606 20962951686 218 0x100d 0 292 13655 637875 24135632 775599179 21714972879 219 0x100d 0 296 13895 651935 24776769 799729540 22490495736 220 0x100d 0 300 14138 666247 25432078 824499815 23290144989 221 0x100d 0 304 14384 680823 26101764 849924638 24114560664 222 0x100d 0 308 14632 695653 26785949 876018048 24964406170 223 0x100d 0 312 14882 710757 27485060 902794170 25840342118 224 0x100d 0 316 15134 726135 28199499 930268011 26743045541 225 0x100d 0 320 15389 741783 28929140 958455215 27673229896 226 0x100d 0 324 15645 757706 29674542 987370497 28631600955 227 0x100d 0 329 15907 773876 30435732 1017031035 29618888428 228 0x100d 0 334 16176 790324 31213115 1047451771 30635833771 229 0x100d 0 339 16448 807074 32006911 1078648458 31683203201 230 0x100d 0 344 16724 824102 32817427 1110637508 32761772730 231 0x100d 0 349 17002 841413 33644764 1143436712 33872344179 232 0x100d 0 354 17281 859018 34489409 1177062853 35015722906 233 0x100d 0 359 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