Please note the comma in the list: { , , }

All the polynomials seen here are mathematically related to each other by a single process.

y = [ y 0 ] · { 1 1 · [ 1 ] }

y = [ y 0 y 1 ] · { 1 2 · [ 1 1 ] , 1 1 · [ 1 - x x ] }

y = [ y 0 y 1 y 2 ] · { 1 3 · [ 1 1 1 ] , 1 6 · [ 5 - 3 x 2 3 x - 1 ] , 1 2 · [ x 2 - 3 x + 2 4 x - 2 x 2 x 2 - x ] }

y = [ y 0 y 1 y 2 y 3 ] · { 1 4 · [ 1 1 1 1 ] , 1 10 · [ 7 - 3 x 4 - x x + 1 3 x - 2 ] , 1 20 · [ 5 x 2 - 21 x + 19 5 x 2 + 13 x + 3 5 x 2 + 17 x - 3 5 x 2 - 9 x + 1 ] , 1 6 · [ x 3 + 6 x 2 - 11 x + 6 3 x 3 - 15 x 2 + 18 x 3 x 3 + 12 x 2 - 9 x x 3 - 3 x 2 + 2 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 ] · { 1 5 · [ 1 1 1 1 1 ] , 1 10 · [ 6 - 2 x 4 - x 2 x 2 x - 2 ] , 1 70 · [ 10 x 2 - 54 x + 62 5 x 2 + 13 x + 18 10 x 2 + 40 x - 6 5 x 2 + 27 x - 10 10 x 2 - 26 x + 6 ] , 1 420 · [ 35 x 3 + 270 x 2 - 625 x + 414 70 x 3 - 450 x 2 + 680 x + 24 60 x 2 + 240 x - 36 70 x 3 + 390 x 2 - 440 x + 24 35 x 3 - 150 x 2 + 145 x - 6 ] , 1 24 · [ x 4 - 10 x 3 + 35 x 2 - 50 x + 24 4 x 4 + 36 x 3 - 104 x 2 + 96 x 6 x 4 - 48 x 3 + 114 x 2 - 72 x 4 x 4 + 28 x 3 - 56 x 2 + 32 x x 4 - 6 x 3 + 11 x 2 - 6 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 ] · { 1 6 · [ 1 1 1 1 1 1 ] , 1 105 · [ 55 - 15 x 40 - 9 x 25 - 3 x 3 x + 10 9 x - 5 15 x - 20 ] , 1 280 · [ 25 x 2 - 165 x + 230 5 x 2 + x + 90 92 x - 20 x 2 20 x 2 + 108 x - 40 5 x 2 + 49 x - 30 25 x 2 - 85 x + 30 ] , 1 756 · [ 35 x 3 + 330 x 2 - 925 x + 726 49 x 3 - 381 x 2 + 674 x + 96 28 x 3 - 264 x 2 + 632 x - 84 28 x 3 + 156 x 2 - 92 x - 24 49 x 3 + 354 x 2 - 539 x + 66 35 x 3 - 195 x 2 + 250 x - 24 ] , 1 3024 · [ 63 x 4 - 770 x 3 + 3255 x 2 - 5500 x + 3012 189 x 4 + 2086 x 3 - 7329 x 2 + 8096 x + 60 126 x 4 - 1148 x 3 + 2814 x 2 - 1072 x - 120 126 x 4 - 1372 x 3 + 4494 x 2 - 3968 x + 120 189 x 4 + 1694 x 3 - 4389 x 2 + 3244 x - 60 63 x 4 - 490 x 3 + 1155 x 2 - 800 x + 12 ] , 1 120 · [ x 5 + 15 x 4 - 85 x 3 + 225 x 2 - 274 x + 120 5 x 5 - 70 x 4 + 355 x 3 - 770 x 2 + 600 x 10 x 5 + 130 x 4 - 590 x 3 + 1070 x 2 - 600 x 10 x 5 - 120 x 4 + 490 x 3 - 780 x 2 + 400 x 5 x 5 + 55 x 4 - 205 x 3 + 305 x 2 - 150 x x 5 - 10 x 4 + 35 x 3 - 50 x 2 + 24 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 y 6 ] · { 1 7 · [ 1 1 1 1 1 1 1 ] , 1 28 · [ 13 - 3 x 10 - 2 x 7 - x 4 x + 1 2 x - 2 3 x - 5 ] , 1 84 · [ 5 x 2 - 39 x + 64 30 - 6 x 3 x 2 + 15 x + 6 4 x 2 + 24 x - 8 3 x 2 + 21 x - 12 6 x - 6 5 x 2 - 21 x + 10 ] , 1 252 · [ 7 x 3 + 78 x 2 - 257 x + 234 7 x 3 - 63 x 2 + 122 x + 48 7 x 3 - 72 x 2 + 185 x - 24 12 x 2 + 72 x - 24 7 x 3 + 54 x 2 - 77 x + 6 7 x 3 + 63 x 2 - 122 x + 24 7 x 3 - 48 x 2 + 77 x - 12 ] , 1 5544 · [ 63 x 4 - 910 x 3 + 4515 x 2 - 8840 x + 5472 147 x 4 + 1918 x 3 - 7917 x 2 + 10118 x + 300 21 x 4 - 98 x 3 - 651 x 2 + 3008 x - 420 126 x 4 - 1512 x 3 + 5334 x 2 - 4788 x + 120 21 x 4 - 406 x 3 + 2121 x 2 - 2756 x + 240 147 x 4 + 1610 x 3 - 5145 x 2 + 4750 x - 228 63 x 4 - 602 x 3 + 1743 x 2 - 1492 x + 60 ] , 1 18480 · [ 77 x 5 + 1365 x 4 - 9065 x 3 + 27755 x 2 - 38318 x + 18460 308 x 5 - 5110 x 4 + 30520 x 3 - 77210 x 2 + 69132 x + 120 385 x 5 + 5845 x 4 - 30485 x 3 + 61355 x 2 - 34230 x - 300 420 x 4 - 5040 x 3 + 17780 x 2 - 15960 x + 400 385 x 5 - 5705 x 4 + 28805 x 3 - 56455 x 2 + 35070 x - 300 308 x 5 + 4130 x 4 - 18760 x 3 + 33670 x 2 - 19572 x + 120 77 x 5 - 945 x 4 + 4025 x 3 - 6895 x 2 + 3878 x - 20 ] , 1 720 · [ x 6 - 21 x 5 + 175 x 4 - 735 x 3 + 1624 x 2 - 1764 x + 720 6 x 6 + 120 x 5 - 930 x 4 + 3480 x 3 - 6264 x 2 + 4320 x 15 x 6 - 285 x 5 + 2055 x 4 - 6915 x 3 + 10530 x 2 - 5400 x 20 x 6 + 360 x 5 - 2420 x 4 + 7440 x 3 - 10160 x 2 + 4800 x 15 x 6 - 255 x 5 + 1605 x 4 - 4605 x 3 + 5940 x 2 - 2700 x 6 x 6 + 96 x 5 - 570 x 4 + 1560 x 3 - 1944 x 2 + 864 x x 6 - 15 x 5 + 85 x 4 - 225 x 3 + 274 x 2 - 120 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 y 6 y 7 ] · { 1 8 · [ 1 1 1 1 1 1 1 1 ] , 1 84 · [ 35 - 7 x 28 - 5 x 21 - 3 x 14 - x x + 7 3 x 5 x - 7 7 x - 14 ] , 1 168 · [ 7 x 2 - 63 x + 119 x 2 - 17 x + 63 3 x 2 + 15 x + 21 5 x 2 + 33 x - 7 5 x 2 + 37 x - 21 3 x 2 + 27 x - 21 x 2 + 3 x - 7 7 x 2 - 35 x + 21 ] , 1 2772 · [ 49 x 3 + 630 x 2 - 2387 x + 2478 35 x 3 - 351 x 2 + 682 x + 672 49 x 3 - 564 x 2 + 1595 x - 168 21 x 3 - 303 x 2 + 1122 x - 336 21 x 3 + 138 x 2 + 33 x - 126 49 x 3 + 465 x 2 - 902 x + 168 35 x 3 + 384 x 2 - 913 x + 252 49 x 3 - 399 x 2 + 770 x - 168 ] , 1 22176 · [ 147 x 4 - 2450 x 3 + 13965 x 2 - 31150 x + 21588 273 x 4 + 4102 x 3 - 19383 x 2 + 27842 x + 2100 63 x 4 + 1274 x 3 - 8337 x 2 + 17926 x - 2100 189 x 4 - 2478 x 3 + 9051 x 2 - 6522 x - 420 189 x 4 - 2814 x 3 + 12579 x 2 - 15234 x + 1260 63 x 4 + 490 x 3 - 105 x 2 - 2050 x + 588 273 x 4 + 3542 x 3 - 13503 x 2 + 15082 x - 1260 147 x 4 - 1666 x 3 + 5733 x 2 - 5894 x + 420 ] , 1 34320 · [ 77 x 5 + 1575 x 4 - 12005 x 3 + 41825 x 2 - 64778 x + 34180 253 x 5 - 4850 x 4 + 33335 x 3 - 96410 x 2 + 97532 x + 720 187 x 5 + 3175 x 4 - 17975 x 3 + 36185 x 2 - 12498 x - 1380 165 x 5 + 3180 x 4 - 21435 x 3 + 57320 x 2 - 45600 x + 1000 165 x 5 - 2595 x 4 + 13245 x 3 - 23845 x 2 + 11930 x + 300 187 x 5 - 3370 x 4 + 20705 x 3 - 49250 x 2 + 37068 x - 960 253 x 5 + 4005 x 4 - 21505 x 3 + 45515 x 2 - 31102 x + 580 77 x 5 - 1120 x 4 + 5635 x 3 - 11340 x 2 + 7448 x - 120 ] , 1 205920 · [ 143 x 6 - 3465 x 5 + 33110 x 4 - 158025 x 3 + 391727 x 2 - 468930 x + 205860 715 x 6 + 16533 x 5 - 147400 x 4 + 629985 x 3 - 1282345 x 2 + 986502 x + 420 1287 x 6 - 28149 x 5 + 231990 x 4 - 881805 x 3 + 1484103 x 2 - 797346 x - 1260 715 x 6 + 14025 x 5 - 99220 x 4 + 301365 x 3 - 359965 x 2 + 127710 x + 2100 715 x 6 + 16005 x 5 - 133870 x 4 + 509445 x 3 - 846955 x 2 + 472890 x - 2100 1287 x 6 - 25905 x 5 + 192720 x 4 - 649725 x 3 + 971493 x 2 - 499950 x + 1260 715 x 6 + 13497 x 5 - 94270 x 4 + 300945 x 3 - 430795 x 2 + 214698 x - 420 143 x 6 - 2541 x 5 + 16940 x 4 - 52185 x 3 + 72737 x 2 - 35574 x + 60 ] , 1 5040 · [ x 7 + 28 x 6 - 322 x 5 + 1960 x 4 - 6769 x 3 + 13132 x 2 - 13068 x + 5040 7 x 7 - 189 x 6 + 2065 x 5 - 11655 x 4 + 35728 x 3 - 56196 x 2 + 35280 x 21 x 7 + 546 x 6 - 5670 x 5 + 29820 x 4 - 82509 x 3 + 110754 x 2 - 52920 x 35 x 7 - 875 x 6 + 8645 x 5 - 42665 x 4 + 108920 x 3 - 132860 x 2 + 58800 x 35 x 7 + 840 x 6 - 7910 x 5 + 36960 x 4 - 89075 x 3 + 103320 x 2 - 44100 x 21 x 7 - 483 x 6 + 4347 x 5 - 19425 x 4 + 45024 x 3 - 50652 x 2 + 21168 x 7 x 7 + 154 x 6 - 1330 x 5 + 5740 x 4 - 12943 x 3 + 14266 x 2 - 5880 x x 7 - 21 x 6 + 175 x 5 - 735 x 4 + 1624 x 3 - 1764 x 2 + 720 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 y 6 y 7 y 8 ] · { 1 9 · [ 1 1 1 1 1 1 1 1 1 ] , 1 180 · [ 68 - 12 x 56 - 9 x 44 - 6 x 32 - 3 x 20 3 x + 8 6 x - 4 9 x - 16 12 x - 28 ] , 1 4620 · [ 140 x 2 - 1428 x + 3052 35 x 2 - 511 x + 1764 40 x 2 + 166 x + 756 85 x 2 + 603 x + 28 100 x 2 + 800 x - 420 85 x 2 + 757 x - 588 40 x 2 + 474 x - 476 35 x 2 - 49 x - 84 140 x 2 - 812 x + 588 ] , 1 8316 · [ 98 x 3 + 1428 x 2 - 6118 x + 7140 49 x 3 - 525 x 2 + 854 x + 2352 91 x 3 - 1164 x 2 + 3593 x - 168 63 x 3 - 909 x 2 + 3366 x - 1008 180 x 2 + 1440 x - 756 63 x 3 + 603 x 2 - 918 x 91 x 3 + 1020 x 2 - 2441 x + 672 49 x 3 + 651 x 2 - 1862 x + 672 98 x 3 - 924 x 2 + 2086 x - 588 ] , 1 30888 · [ 126 x 4 - 2380 x 3 + 15330 x 2 - 38420 x + 29544 189 x 4 + 3206 x 3 - 16989 x 2 + 26716 x + 4200 99 x 4 + 1922 x 3 - 12201 x 2 + 25678 x - 3000 81 x 4 - 1062 x 3 + 3069 x 2 + 2412 x - 1800 162 x 4 - 2592 x 3 + 12222 x 2 - 14832 x + 1080 81 x 4 - 1530 x 3 + 8685 x 2 - 13500 x + 1944 99 x 4 + 1246 x 3 - 4089 x 2 + 3266 x + 120 189 x 4 + 2842 x 3 - 12621 x 2 + 16628 x - 2040 126 x 4 - 1652 x 3 + 6594 x 2 - 7948 x + 840 ] , 1 34320 · [ 44 x 5 + 1020 x 4 - 8780 x 3 + 34340 x 2 - 59096 x + 34000 121 x 5 - 2630 x 4 + 20435 x 3 - 66470 x 2 + 74804 x + 1440 44 x 5 + 770 x 4 - 4000 x 3 + 3750 x 2 + 12124 x - 2160 99 x 5 + 2070 x 4 - 14985 x 3 + 42350 x 2 - 34236 x + 640 180 x 4 - 2880 x 3 + 13580 x 2 - 16480 x + 1200 99 x 5 - 1890 x 4 + 12105 x 3 - 29290 x 2 + 21916 x - 480 44 x 5 - 990 x 4 + 7520 x 3 - 21850 x 2 + 20036 x - 1040 121 x 5 + 2210 x 4 - 13715 x 3 + 33570 x 2 - 26644 x + 960 44 x 5 - 740 x 4 + 4300 x 3 - 9980 x 2 + 7576 x - 240 ] , 1 1544400 · [ 572 x 6 - 15708 x 5 + 169400 x 4 - 906780 x 3 + 2497628 x 2 - 3275832 x + 1542480 2431 x 6 + 63789 x 5 - 643225 x 4 + 3094215 x 3 - 7038544 x 2 + 5986356 x + 11760 3146 x 6 - 77484 x 5 + 713900 x 4 - 2994240 x 3 + 5406554 x 2 - 2845236 x - 28560 143 x 6 - 7887 x 5 + 124025 x 4 - 802245 x 3 + 2143832 x 2 - 1694748 x + 31920 2860 x 6 + 68640 x 5 - 609400 x 4 + 2428800 x 3 - 4150540 x 2 + 2340960 x - 8400 143 x 6 + 1023 x 5 - 54175 x 4 + 416805 x 3 - 1079968 x 2 + 832092 x - 18480 3146 x 6 - 73524 x 5 + 634700 x 4 - 2475840 x 3 + 4254554 x 2 - 2489196 x + 21840 2431 x 6 + 52899 x 5 - 425425 x 4 + 1557465 x 3 - 2536744 x 2 + 1421196 x - 9840 572 x 6 - 11748 x 5 + 90200 x 4 - 318180 x 3 + 503228 x 2 - 275592 x + 1680 ] , 1 21621600 · [ 2145 x 7 + 68068 x 6 - 882882 x 5 + 6021400 x 4 - 23094225 x 3 + 49174132 x 2 - 52890828 x + 21619920 12870 x 7 - 394394 x 6 + 4870866 x 5 - 30903950 x 4 + 105714840 x 3 - 183783656 x 2 + 125984064 x + 13440 30030 x 7 + 884884 x 6 - 10366356 x 5 + 61091800 x 4 - 187509630 x 3 + 274594516 x 2 - 138241824 x - 47040 30030 x 7 - 838838 x 6 + 9171162 x 5 - 49360850 x 4 + 134358840 x 3 - 168889112 x 2 + 74682048 x + 94080 40040 x 6 + 960960 x 5 - 8531600 x 4 + 34003200 x 3 - 58107560 x 2 + 32773440 x - 117600 30030 x 7 + 842842 x 6 - 9267258 x 5 + 50338750 x 4 - 139755000 x 3 + 183783208 x 2 - 86759232 x + 94080 30030 x 7 - 796796 x 6 + 8252244 x 5 - 42211400 x 4 + 110928510 x 3 - 139339004 x 2 + 63559776 x - 47040 12870 x 7 + 326326 x 6 - 3237234 x 5 + 15942850 x 4 - 40591320 x 3 + 49729624 x 2 - 22278336 x + 13440 2145 x 7 - 52052 x 6 + 498498 x 5 - 2387000 x 4 + 5944785 x 3 - 7162148 x 2 + 3170892 x - 1680 ] , 1 40320 · [ x 8 - 36 x 7 + 546 x 6 - 4536 x 5 + 22449 x 4 - 67284 x 3 + 118124 x 2 - 109584 x + 40320 8 x 8 + 280 x 7 - 4088 x 6 + 32200 x 5 - 147392 x 4 + 390880 x 3 - 554112 x 2 + 322560 x 28 x 8 - 952 x 7 + 13384 x 6 - 100240 x 5 + 428092 x 4 - 1027768 x 3 + 1251936 x 2 - 564480 x 56 x 8 + 1848 x 7 - 25032 x 6 + 178920 x 5 - 720384 x 4 + 1606752 x 3 - 1794688 x 2 + 752640 x 70 x 8 - 2240 x 7 + 29260 x 6 - 200480 x 5 + 769510 x 4 - 1631840 x 3 + 1741320 x 2 - 705600 x 56 x 8 + 1736 x 7 - 21896 x 6 + 144536 x 5 - 534464 x 4 + 1095584 x 3 - 1137024 x 2 + 451584 x 28 x 8 - 840 x 7 + 10248 x 6 - 65520 x 5 + 235452 x 4 - 471240 x 3 + 480032 x 2 - 188160 x 8 x 8 + 232 x 7 - 2744 x 6 + 17080 x 5 - 60032 x 4 + 118048 x 3 - 118656 x 2 + 46080 x x 8 - 28 x 7 + 322 x 6 - 1960 x 5 + 6769 x 4 - 13132 x 3 + 13068 x 2 - 5040 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 y 6 y 7 y 8 y 9 ] · { 1 10 · [ 1 1 1 1 1 1 1 1 1 1 ] , 1 165 · [ 57 - 9 x 48 - 7 x 39 - 5 x 30 - 3 x 21 - x x + 12 3 x + 3 5 x - 6 7 x - 15 9 x - 24 ] , 1 1320 · [ 30 x 2 - 342 x + 816 10 x 2 - 146 x + 504 5 x 2 + 5 x + 252 15 x 2 + 111 x + 60 20 x 2 + 172 x - 72 20 x 2 + 188 x - 144 15 x 2 + 159 x - 156 5 x 2 + 85 x - 108 10 x 2 - 34 x 30 x 2 - 198 x + 168 ] , 1 25740 · [ 210 x 3 + 3420 x 2 - 16350 x + 21204 70 x 3 - 750 x 2 + 380 x + 8064 175 x 3 - 2460 x 2 + 8165 x + 504 155 x 3 - 2385 x 2 + 9310 x - 2736 60 x 3 - 1200 x 2 + 6120 x - 2916 60 x 3 + 420 x 2 + 900 x - 1296 155 x 3 + 1800 x 2 - 4045 x + 864 175 x 3 + 2265 x 2 - 6410 x + 2304 70 x 3 + 1140 x 2 - 3890 x + 1764 210 x 3 - 2250 x 2 + 5820 x - 2016 ] , 1 20592 · [ 54 x 4 - 1140 x 3 + 8190 x 2 - 22800 x + 19296 66 x 4 + 1244 x 3 - 7266 x 2 + 12184 x + 3600 51 x 4 + 1058 x 3 - 7119 x 2 + 15712 x - 1800 9 x 4 - 38 x 3 - 999 x 2 + 5828 x - 1800 54 x 4 - 924 x 3 + 4494 x 2 - 4824 x 54 x 4 - 1020 x 3 + 5790 x 2 - 9000 x + 1296 9 x 4 - 286 x 3 + 2349 x 2 - 4856 x + 1080 51 x 4 + 778 x 3 - 3339 x 2 + 4052 x - 360 66 x 4 + 1132 x 3 - 5754 x 2 + 8768 x - 1440 54 x 4 - 804 x 3 + 3654 x 2 - 5064 x + 720 ] , 1 85800 · [ 66 x 5 + 1710 x 4 - 16410 x 3 + 71250 x 2 - 135084 x + 84360 154 x 5 - 3740 x 4 + 32390 x 3 - 116900 x 2 + 144296 x + 5760 11 x 5 + 35 x 4 + 2465 x 3 - 23475 x 2 + 58786 x - 6840 121 x 5 + 2760 x 4 - 21535 x 3 + 63900 x 2 - 49204 x - 240 66 x 5 + 1710 x 4 - 15510 x 3 + 55850 x 2 - 60184 x + 3960 66 x 5 - 1260 x 4 + 7410 x 3 - 13000 x 2 + 2584 x + 1440 121 x 5 - 2685 x 4 + 20185 x 3 - 58275 x 2 + 53254 x - 2760 11 x 5 - 460 x 4 + 5185 x 3 - 20100 x 2 + 23564 x - 2160 154 x 5 + 3190 x 4 - 22490 x 3 + 62650 x 2 - 56996 x + 3240 66 x 5 - 1260 x 4 + 8310 x 3 - 21900 x 2 + 18984 x - 960 ] , 1 2059200 · [ 429 x 6 - 13167 x 5 + 158235 x 4 - 939645 x 3 + 2851296 x 2 - 4074588 x + 2052720 1573 x 6 + 46167 x 5 - 519475 x 4 + 2778645 x 3 - 6990352 x 2 + 6515868 x + 35280 1430 x 6 - 38874 x 5 + 391490 x 4 - 1760190 x 3 + 3240920 x 2 - 1364376 x - 70560 858 x 6 - 26070 x 5 + 300630 x 4 - 1608450 x 3 + 3816192 x 2 - 2846040 x + 50400 1144 x 6 + 29304 x 5 - 271480 x 4 + 1083240 x 3 - 1703056 x 2 + 775776 x + 20160 1144 x 6 + 32472 x 5 - 342760 x 4 + 1633320 x 3 - 3355456 x 2 + 2282208 x - 40320 858 x 6 - 20262 x 5 + 169950 x 4 - 607170 x 3 + 883992 x 2 - 387048 x - 10080 1430 x 6 - 38346 x 5 + 379610 x 4 - 1694910 x 3 + 3321920 x 2 - 2209704 x + 41760 1573 x 6 + 38775 x 5 - 353155 x 4 + 1461525 x 3 - 2681152 x 2 + 1684860 x - 25200 429 x 6 - 9999 x 5 + 86955 x 4 - 346365 x 3 + 615696 x 2 - 376956 x + 5040 ] , 1 122522400 · [ 6435 x 7 + 228228 x 6 - 3297294 x 5 + 24929520 x 4 - 105290955 x 3 + 244598172 x 2 - 283315716 x + 122477040 33605 x 7 - 1152151 x 6 + 15874859 x 5 - 111929125 x 4 + 423213560 x 3 - 807310924 x 2 + 601166736 x + 322560 61490 x 7 + 2022020 x 6 - 26334308 x 5 + 171543680 x 4 - 576604490 x 3 + 908985980 x 2 - 471789792 x - 947520 30030 x 7 - 894894 x 6 + 10180170 x 5 - 54513690 x 4 + 134746920 x 3 - 122684856 x 2 + 21423360 x + 1411200 40040 x 7 - 1329328 x 6 + 17385368 x 5 - 112687960 x 4 + 371719040 x 3 - 567662872 x 2 + 300508992 x - 917280 40040 x 7 + 1193192 x 6 - 13709696 x 5 + 76140680 x 4 - 210083720 x 3 + 266681408 x 2 - 118558944 x - 282240 30030 x 7 + 996996 x 6 - 12936924 x 5 + 82513200 x 4 - 266576310 x 3 + 402345804 x 2 - 213792096 x + 987840 61490 x 7 - 1851850 x 6 + 21739718 x 5 - 125663230 x 4 + 371026040 x 3 - 518497000 x 2 + 259132032 x - 766080 33605 x 7 + 964964 x 6 - 10820810 x 5 + 60007640 x 4 - 170923445 x 3 + 231856436 x 2 - 113223420 x + 277200 6435 x 7 - 177177 x 6 + 1918917 x 5 - 10340715 x 4 + 28773360 x 3 - 38312148 x 2 + 18448848 x - 40320 ] , 1 980179200 · [ 12155 x 8 - 489060 x 7 + 8258250 x 6 - 75999924 x 5 + 413948535 x 4 - 1354094280 x 3 + 2567438500 x 2 - 2539051776 x + 980159040 85085 x 8 + 3331900 x 7 - 54244190 x 6 + 474349876 x 5 - 2397019625 x 4 + 6968074960 x 3 - 10733059260 x 2 + 6717016224 x + 181440 243100 x 8 - 9243520 x 7 + 144824680 x 6 - 1203105904 x 5 + 5662596940 x 4 - 14848168720 x 3 + 19484950320 x 2 - 9224839296 x - 725760 340340 x 8 + 12492480 x 7 - 187267080 x 6 + 1470845376 x 5 - 6442456020 x 4 + 15407441280 x 3 - 18079766320 x 2 + 7802116224 x + 1693440 170170 x 8 - 5805800 x 7 + 79419340 x 6 - 555619064 x 5 + 2101669570 x 4 - 4190980640 x 3 + 4007840760 x 2 - 1411292736 x - 2540160 170170 x 8 - 6446440 x 7 + 99599500 x 6 - 804379576 x 5 + 3612298690 x 4 - 8845402720 x 3 + 10682595000 x 2 - 4763836224 x + 2540160 340340 x 8 + 12012000 x 7 - 172131960 x 6 + 1285908624 x 5 - 5346240900 x 4 + 12196855440 x 3 - 13879521040 x 2 + 5920392576 x - 1693440 243100 x 8 - 8259680 x 7 + 113833720 x 6 - 818513696 x 5 + 3284941660 x 4 - 7267124480 x 3 + 8065086480 x 2 - 3377464704 x + 725760 85085 x 8 + 2794220 x 7 - 37307270 x 6 + 260784524 x 5 - 1021525505 x 4 + 2214978920 x 3 - 2419720380 x 2 + 1001894976 x - 181440 12155 x 8 - 386100 x 7 + 5015010 x 6 - 34270236 x 5 + 131786655 x 4 - 281579760 x 3 + 304155940 x 2 - 124935264 x + 20160 ] , 1 362880 · [ x 9 + 45 x 8 - 870 x 7 + 9450 x 6 - 63273 x 5 + 269325 x 4 - 723680 x 3 + 1172700 x 2 - 1026576 x + 362880 9 x 9 - 396 x 8 + 7434 x 7 - 77616 x 6 + 491841 x 5 - 1932084 x 4 + 4581036 x 3 - 5973264 x 2 + 3265920 x 36 x 9 + 1548 x 8 - 28224 x 7 + 283752 x 6 - 1710324 x 5 + 6275052 x 4 - 13502376 x 3 + 15212448 x 2 - 6531840 x 84 x 9 - 3528 x 8 + 62496 x 7 - 606312 x 6 + 3495996 x 5 - 12135312 x 4 + 24383184 x 3 - 25357248 x 2 + 10160640 x 126 x 9 + 5166 x 8 - 88956 x 7 + 834876 x 6 - 4632894 x 5 + 15403374 x 4 - 29570184 x 3 + 29479464 x 2 - 11430720 x 126 x 9 - 5040 x 8 + 84420 x 7 - 768600 x 6 + 4129398 x 5 - 13287960 x 4 + 24743880 x 3 - 24040800 x 2 + 9144576 x 84 x 9 + 3276 x 8 - 53424 x 7 + 473256 x 6 - 2475396 x 5 + 7770924 x 4 - 14163576 x 3 + 13525344 x 2 - 5080320 x 36 x 9 - 1368 x 8 + 21744 x 7 - 187992 x 6 + 961884 x 5 - 2962512 x 4 + 5314896 x 3 - 5012928 x 2 + 1866240 x 9 x 9 + 333 x 8 - 5166 x 7 + 43722 x 6 - 219681 x 5 + 666477 x 4 - 1181304 x 3 + 1103868 x 2 - 408240 x x 9 - 36 x 8 + 546 x 7 - 4536 x 6 + 22449 x 5 - 67284 x 4 + 118124 x 3 - 109584 x 2 + 40320 x ] }

y = [ y 0 y 1 y 2 y 3 y 4 y 5 y 6 y 7 y 8 y 9 y 10 ] · { 1 11 · [ 1 1 1 1 1 1 1 1 1 1 1 ] , 1 110 · [ 35 - 5 x 30 - 4 x 25 - 3 x 20 - 2 x 15 - x 10 x + 5 2 x 3 x - 5 4 x - 10 5 x - 15 ] , 1 4290 · [ 75 x 2 - 945 x + 2490 30 x 2 - 456 x + 1620 5 x 2 - 67 x + 900 30 x 2 + 222 x + 330 45 x 2 + 411 x - 90 50 x 2 + 500 x - 360 45 x 2 + 489 x - 480 30 x 2 + 378 x - 450 5 x 2 + 167 x - 270 30 x 2 - 144 x + 60 75 x 2 - 555 x + 540 ] , 1 5148 · [ 30 x 3 + 540 x 2 - 2850 x + 4068 6 x 3 - 54 x 2 - 204 x + 1728 22 x 3 - 336 x 2 + 1178 x + 288 23 x 3 - 381 x 2 + 1582 x - 432 14 x 3 - 264 x 2 + 1294 x - 612 60 x 2 + 600 x - 432 14 x 3 + 156 x 2 - 214 x - 72 23 x 3 + 309 x 2 - 862 x + 288 22 x 3 + 324 x 2 - 1058 x + 468 6 x 3 + 126 x 2 - 516 x + 288 30 x 3 - 360 x 2 + 1050 x - 432 ] , 1 10296 · [ 18 x 4 - 420 x 3 + 3330 x 2 - 10200 x + 9432 18 x 4 + 372 x 3 - 2358 x 2 + 4092 x + 2160 18 x 4 + 404 x 3 - 2922 x 2 + 6856 x - 720 3 x 4 + 106 x 3 - 1137 x 2 + 3914 x - 1080 12 x 4 - 212 x 3 + 972 x 2 - 412 x - 360 18 x 4 - 360 x 3 + 2130 x 2 - 3300 x + 432 12 x 4 - 268 x 3 + 1812 x 2 - 3428 x + 720 3 x 4 + 14 x 3 + 243 x 2 - 974 x + 360 18 x 4 + 316 x 3 - 1602 x 2 + 2384 x - 360 18 x 4 + 348 x 3 - 1998 x 2 + 3468 x - 720 18 x 4 - 300 x 3 + 1530 x 2 - 2400 x + 432 ] , 1 68640 · [ 33 x 5 + 945 x 4 - 10005 x 3 + 47775 x 2 - 99042 x + 66840 66 x 5 - 1770 x 4 + 16890 x 3 - 66870 x 2 + 89364 x + 6480 11 x 5 - 395 x 4 + 5095 x 3 - 28005 x 2 + 56054 x - 6120 44 x 5 + 1080 x 4 - 8900 x 3 + 26520 x 2 - 15296 x - 1920 44 x 5 + 1180 x 4 - 11020 x 3 + 40580 x 2 - 44136 x + 2880 120 x 4 - 2400 x 3 + 14200 x 2 - 22000 x + 2880 44 x 5 - 1020 x 4 + 7820 x 3 - 22020 x 2 + 18536 x - 480 44 x 5 - 1120 x 4 + 9700 x 3 - 32480 x 2 + 34896 x - 2880 11 x 5 + 155 x 4 - 295 x 3 - 2155 x 2 + 5546 x - 1080 66 x 5 + 1530 x 4 - 12090 x 3 + 37830 x 2 - 38964 x + 3120 33 x 5 - 705 x 4 + 5205 x 3 - 15375 x 2 + 15042 x - 1080 ] , 1 17503200 · [ 2145 x 6 - 72765 x 5 + 964425 x 4 - 6295275 x 3 + 20887230 x 2 - 32351760 x + 17395200 6864 x 6 + 222750 x 5 - 2766390 x 4 + 16287750 x 3 - 44906586 x 2 + 45495180 x + 529200 4147 x 6 - 121605 x 5 + 1297945 x 4 - 5939175 x 3 + 9687628 x 2 + 574740 x - 882000 5148 x 6 - 165660 x 5 + 2011680 x 4 - 11255100 x 3 + 27653652 x 2 - 20931000 x + 352800 1716 x 6 + 40260 x 5 - 277860 x 4 + 185100 x 3 + 3384216 x 2 - 5577840 x + 453600 5720 x 6 + 171600 x 5 - 1898600 x 4 + 9372000 x 3 - 19591280 x 2 + 13312800 x - 201600 1716 x 6 + 62700 x 5 - 838860 x 4 + 4989300 x 3 - 12578784 x 2 + 10403520 x - 403200 5148 x 6 - 143220 x 5 + 1450680 x 4 - 6512100 x 3 + 12608652 x 2 - 8132040 x + 108000 4147 x 6 - 127215 x 5 + 1438195 x 4 - 7313625 x 3 + 16279378 x 2 - 12304800 x + 403200 6864 x 6 + 189090 x 5 - 1924890 x 4 + 8897850 x 3 - 18208086 x 2 + 12771540 x - 327600 2145 x 6 - 55935 x 5 + 543675 x 4 - 2416725 x 3 + 4783980 x 2 - 3260340 x + 75600 ] , 1 122522400 · [ 3575 x 7 + 140140 x 6 - 2232230 x 5 + 18541600 x 4 - 85598975 x 3 + 215753860 x 2 - 268190820 x + 122396400 16445 x 7 - 623623 x 6 + 9484475 x 5 - 73601605 x 4 + 305061680 x 3 - 634245052 x 2 + 510417360 x + 806400 23595 x 7 + 854854 x 6 - 12222210 x 5 + 86903740 x 4 - 315685755 x 3 + 526798846 x 2 - 271384920 x - 2016000 1430 x 7 - 14014 x 6 - 470470 x 5 + 9365510 x 4 - 62172880 x 3 + 165758264 x 2 - 129825600 x + 2217600 20020 x 7 - 712712 x 6 + 9929920 x 5 - 67972520 x 4 + 233875180 x 3 - 365752688 x 2 + 194634720 x - 352800 40040 x 6 + 1201200 x 5 - 13290200 x 4 + 65604000 x 3 - 137138960 x 2 + 93189600 x - 1411200 20020 x 7 + 688688 x 6 - 9209200 x 5 + 60155480 x 4 - 197654380 x 3 + 301390712 x 2 - 160854960 x + 705600 1430 x 7 + 86086 x 6 - 1691690 x 5 + 14871010 x 4 - 62197520 x 3 + 116077864 x 2 - 73615680 x + 1008000 23595 x 7 - 796796 x 6 + 10480470 x 5 - 67750760 x 4 + 222916155 x 3 - 345029804 x 2 + 189274500 x - 1335600 16445 x 7 + 527527 x 6 - 6601595 x 5 + 40762645 x 4 - 128762480 x 3 + 192442348 x 2 - 102550320 x + 604800 3575 x 7 - 110110 x 6 + 1331330 x 5 - 7984900 x 4 + 24614975 x 3 - 36055390 x 2 + 18906120 x - 100800 ] , 1 1862340480 · [ 12155 x 8 - 540540 x 7 + 10060050 x 6 - 101657556 x 5 + 604939335 x 4 - 2147634720 x 3 + 4380465100 x 2 - 4606149744 x + 1862138880 75361 x 8 + 3264404 x 7 - 58644586 x 6 + 564075512 x 5 - 3122007889 x 4 + 9885425396 x 3 - 16466764644 x 2 + 11042169408 x + 1632960 177463 x 8 - 7457164 x 7 + 128770642 x 6 - 1174601428 x 5 + 6038299267 x 4 - 17157765856 x 3 + 24082036308 x 2 - 11857930272 x - 5624640 165308 x 8 + 6634056 x 7 - 108059952 x 6 + 913945032 x 5 - 4251899652 x 4 + 10567784304 x 3 - 12454161808 x 2 + 5229881088 x + 10402560 34034 x 8 + 1665664 x 7 - 33037004 x 6 + 340572232 x 5 - 1937881946 x 4 + 5925187576 x 3 - 8642258856 x 2 + 4441465728 x - 10160640 170170 x 8 - 6806800 x 7 + 110410300 x 6 - 929929000 x 5 + 4321487170 x 4 - 10854243400 x 3 + 13329577800 x 2 - 5998608000 x + 2540160 34034 x 8 + 1057056 x 7 - 11735724 x 6 + 49657608 x 5 + 9663654 x 4 - 634061736 x 3 + 1498320824 x 2 - 961977408 x + 5927040 165308 x 8 + 6590584 x 7 - 106538432 x 6 + 895382488 x 5 - 4168216052 x 4 + 10567409776 x 3 - 13209303888 x 2 + 6084271872 x - 7983360 177463 x 8 - 6739876 x 7 + 103665562 x 6 - 829520692 x 5 + 3687550867 x 4 - 8971016824 x 3 + 10830240828 x 2 - 4855907088 x + 4717440 75361 x 8 + 2764476 x 7 - 41147106 x 6 + 319567248 x 5 - 1383671289 x 4 + 3291298164 x 3 - 3901116164 x 2 + 1725060672 x - 1431360 12155 x 8 - 431860 x 7 + 6256250 x 6 - 47491444 x 5 + 201736535 x 4 - 472382680 x 3 + 552964500 x 2 - 242276256 x + 181440 ] , 1 33522128640 · [ 46189 x 9 + 2297295 x 8 - 48936030 x 7 + 583332750 x 6 - 4264857597 x 5 + 19699935255 x 4 - 57006212120 x 3 + 98566706700 x 2 - 91052352864 x + 33521947200 369512 x 9 - 17984538 x 8 + 372409752 x 7 - 4273617348 x 6 + 29633531928 x 5 - 126684359802 x 4 + 324727954408 x 3 - 454148442792 x 2 + 263892309120 x + 1814400 1247103 x 9 + 59313969 x 8 - 1192799322 x 7 + 13178671506 x 6 - 86888408607 x 5 + 346587121881 x 4 - 804257038728 x 3 + 965871695844 x 2 - 433267496640 x - 8164800 2217072 x 9 - 102743784 x 8 + 2001315888 x 7 - 21253167936 x 6 + 133332046848 x 5 - 499463500536 x 4 + 1070961901152 x 3 - 1170654987744 x 2 + 484937418240 x + 21772800 1939938 x 9 + 86684598 x 8 - 1616683068 x 7 + 16299911628 x 6 - 96140606562 x 5 + 335181268422 x 4 - 663995684352 x 3 + 672609406392 x 2 - 262003230720 x - 38102400 3063060 x 8 - 122522400 x 7 + 1987385400 x 6 - 16738722000 x 5 + 77786769060 x 4 - 195376381200 x 3 + 239932400400 x 2 - 107974944000 x + 45722880 1939938 x 9 - 87909822 x 8 + 1665692028 x 7 - 17105820732 x 6 + 103164743682 x 5 - 369889197678 x 4 + 759235949472 x 3 - 801200290968 x 2 + 324634020480 x - 38102400 2217072 x 9 + 96792696 x 8 - 1763272368 x 7 + 17390397024 x 6 - 100764151488 x 5 + 347901417864 x 4 - 690528407712 x 3 + 708712605216 x 2 - 281282664960 x + 21772800 1247103 x 9 - 52925301 x 8 + 937252602 x 7 - 8994819834 x 6 + 50814210447 x 5 - 171521819469 x 4 + 333938950488 x 3 - 337450707396 x 2 + 132418424160 x - 8164800 369512 x 9 + 15271542 x 8 - 263889912 x 7 + 2477366892 x 6 - 13727962248 x 5 + 45582134598 x 4 - 87546930328 x 3 + 87526588248 x 2 - 34082167680 x + 1814400 46189 x 9 - 1859715 x 8 + 31432830 x 7 - 289639350 x 6 + 1580175597 x 5 - 5179769595 x 4 + 9845898920 x 3 - 9764973900 x 2 + 3780684864 x - 181440 ] , 1 3628800 · [ x 10 - 55 x 9 + 1320 x 8 - 18150 x 7 + 157773 x 6 - 902055 x 5 + 3416930 x 4 - 8409500 x 3 + 12753576 x 2 - 10628640 x + 3628800 10 x 10 + 540 x 9 - 12660 x 8 + 168840 x 7 - 1408890 x 6 + 7611660 x 5 - 26557640 x 4 + 57537360 x 3 - 69998400 x 2 + 36288000 x 45 x 10 - 2385 x 9 + 54630 x 8 - 707490 x 7 + 5684805 x 6 - 29222865 x 5 + 95316120 x 4 - 187795260 x 3 + 198320400 x 2 - 81648000 x 120 x 10 + 6240 x 9 - 139680 x 8 + 1758960 x 7 - 13655880 x 6 + 67278960 x 5 - 208194720 x 4 + 384555840 x 3 - 376761600 x 2 + 145152000 x 210 x 10 - 10710 x 9 + 234360 x 8 - 2874060 x 7 + 21636090 x 6 - 102887190 x 5 + 306006540 x 4 - 541968840 x 3 + 510375600 x 2 - 190512000 x 252 x 10 + 12600 x 9 - 269640 x 8 + 3225600 x 7 - 23630796 x 6 + 109163880 x 5 - 315246960 x 4 + 542959200 x 3 - 499105152 x 2 + 182891520 x 210 x 10 - 10290 x 9 + 215460 x 8 - 2518740 x 7 + 18019890 x 6 - 81312210 x 5 + 229682040 x 4 - 387902760 x 3 + 350834400 x 2 - 127008000 x 120 x 10 + 5760 x 9 - 118080 x 8 + 1351440 x 7 - 9472680 x 6 + 41937840 x 5 - 116466720 x 4 + 193872960 x 3 - 173318400 x 2 + 62208000 x 45 x 10 - 2115 x 9 + 42480 x 8 - 476910 x 7 + 3284505 x 6 - 14316435 x 5 + 39230370 x 4 - 64584540 x 3 + 57234600 x 2 - 20412000 x 10 x 10 + 460 x 9 - 9060 x 8 + 99960 x 7 - 678090 x 6 + 2917740 x 5 - 7909640 x 4 + 12908240 x 3 - 11361600 x 2 + 4032000 x x 10 - 45 x 9 + 870 x 8 - 9450 x 7 + 63273 x 6 - 269325 x 5 + 723680 x 4 - 1172700 x 3 + 1026576 x 2 - 362880 x ] }




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All mathematics were done on a TI-nspire CX CAS.