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Weight enumerators of the maximum distance separable codes
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Polynomials
$q$
$n$
$k$ 
$W_{q,n,k}(x)$
2
1
1:
x + 1
2
2
1:
x^2 + 1
2
2
2:
x^2 + 2*x + 1
2
3
1:
x^3 + 1
2
3
2:
3*x^2 + 1
2
3
3:
x^3 + 3*x^2 + 3*x + 1
3
1
1:
2*x + 1
3
2
1:
2*x^2 + 1
3
2
2:
4*x^2 + 4*x + 1
3
3
1:
2*x^3 + 1
3
3
2:
2*x^3 + 6*x^2 + 1
3
3
3:
8*x^3 + 12*x^2 + 6*x + 1
3
4
1:
2*x^4 + 1
3
4
2:
8*x^3 + 1
comment: These are the parameters of the ternary tetracode.
3
4
3:
6*x^4 + 8*x^3 + 12*x^2 + 1
3
4
4:
16*x^4 + 32*x^3 + 24*x^2 + 8*x + 1
4
1
1:
3*x + 1
4
2
1:
3*x^2 + 1
4
2
2:
9*x^2 + 6*x + 1
4
3
1:
3*x^3 + 1
4
3
2:
6*x^3 + 9*x^2 + 1
4
3
3:
27*x^3 + 27*x^2 + 9*x + 1
4
4
1:
3*x^4 + 1
4
4
2:
3*x^4 + 12*x^3 + 1
4
4
3:
21*x^4 + 24*x^3 + 18*x^2 + 1
4
4
4:
81*x^4 + 108*x^3 + 54*x^2 + 12*x + 1
4
5
1:
3*x^5 + 1
4
5
2:
15*x^4 + 1
4
5
3:
18*x^5 + 15*x^4 + 30*x^3 + 1
4
5
4:
60*x^5 + 105*x^4 + 60*x^3 + 30*x^2 + 1
4
5
5:
243*x^5 + 405*x^4 + 270*x^3 + 90*x^2 + 15*x + 1
5
1
1:
4*x + 1
5
2
1:
4*x^2 + 1
5
2
2:
16*x^2 + 8*x + 1
5
3
1:
4*x^3 + 1
5
3
2:
12*x^3 + 12*x^2 + 1
5
3
3:
64*x^3 + 48*x^2 + 12*x + 1
5
4
1:
4*x^4 + 1
5
4
2:
8*x^4 + 16*x^3 + 1
5
4
3:
52*x^4 + 48*x^3 + 24*x^2 + 1
5
4
4:
256*x^4 + 256*x^3 + 96*x^2 + 16*x + 1
5
5
1:
4*x^5 + 1
5
5
2:
4*x^5 + 20*x^4 + 1
5
5
3:
44*x^5 + 40*x^4 + 40*x^3 + 1
5
5
4:
204*x^5 + 260*x^4 + 120*x^3 + 40*x^2 + 1
5
5
5:
1024*x^5 + 1280*x^4 + 640*x^3 + 160*x^2 + 20*x + 1
5
6
1:
4*x^6 + 1
5
6
2:
24*x^5 + 1
5
6
3:
40*x^6 + 24*x^5 + 60*x^4 + 1
5
6
4:
160*x^6 + 264*x^5 + 120*x^4 + 80*x^3 + 1
5
6
5:
820*x^6 + 1224*x^5 + 780*x^4 + 240*x^3 + 60*x^2 + 1
5
6
6:
4096*x^6 + 6144*x^5 + 3840*x^4 + 1280*x^3 + 240*x^2 + 24*x + 1
7
1
1:
6*x + 1
7
2
1:
6*x^2 + 1
7
2
2:
36*x^2 + 12*x + 1
7
3
1:
6*x^3 + 1
7
3
2:
30*x^3 + 18*x^2 + 1
7
3
3:
216*x^3 + 108*x^2 + 18*x + 1
7
4
1:
6*x^4 + 1
7
4
2:
24*x^4 + 24*x^3 + 1
7
4
3:
186*x^4 + 120*x^3 + 36*x^2 + 1
7
4
4:
1296*x^4 + 864*x^3 + 216*x^2 + 24*x + 1
7
5
1:
6*x^5 + 1
7
5
2:
18*x^5 + 30*x^4 + 1
7
5
3:
162*x^5 + 120*x^4 + 60*x^3 + 1
7
5
4:
1110*x^5 + 930*x^4 + 300*x^3 + 60*x^2 + 1
7
5
5:
7776*x^5 + 6480*x^4 + 2160*x^3 + 360*x^2 + 30*x + 1
7
6
1:
6*x^6 + 1
7
6
2:
12*x^6 + 36*x^5 + 1
7
6
3:
144*x^6 + 108*x^5 + 90*x^4 + 1
7
6
4:
948*x^6 + 972*x^5 + 360*x^4 + 120*x^3 + 1
7
6
5:
6666*x^6 + 6660*x^5 + 2790*x^4 + 600*x^3 + 90*x^2 + 1
7
6
6:
46656*x^6 + 46656*x^5 + 19440*x^4 + 4320*x^3 + 540*x^2 + 36*x + 1
7
7
1:
6*x^7 + 1
7
7
2:
6*x^7 + 42*x^6 + 1
7
7
3:
132*x^7 + 84*x^6 + 126*x^5 + 1
7
7
4:
804*x^7 + 1008*x^6 + 378*x^5 + 210*x^4 + 1
7
7
5:
5718*x^7 + 6636*x^6 + 3402*x^5 + 840*x^4 + 210*x^3 + 1
7
7
6:
39990*x^7 + 46662*x^6 + 23310*x^5 + 6510*x^4 + 1050*x^3 + 126*x^2 + 1
7
7
7:
279936*x^7 + 326592*x^6 + 163296*x^5 + 45360*x^4 + 7560*x^3 + 756*x^2 + 42*x + 1
7
8
1:
6*x^8 + 1
7
8
2:
48*x^7 + 1
7
8
3:
126*x^8 + 48*x^7 + 168*x^6 + 1
7
8
4:
672*x^8 + 1056*x^7 + 336*x^6 + 336*x^5 + 1
7
8
5:
4914*x^8 + 6432*x^7 + 4032*x^6 + 1008*x^5 + 420*x^4 + 1
7
8
6:
34272*x^8 + 45744*x^7 + 26544*x^6 + 9072*x^5 + 1680*x^4 + 336*x^3 + 1
7
8
7:
239946*x^8 + 319920*x^7 + 186648*x^6 + 62160*x^5 + 13020*x^4 + 1680*x^3 + 168*x^2 + 1
7
8
8:
1679616*x^8 + 2239488*x^7 + 1306368*x^6 + 435456*x^5 + 90720*x^4 + 12096*x^3 + 1008*x^2 + 48*x + 1
8
1
1:
7*x + 1
8
2
1:
7*x^2 + 1
8
2
2:
49*x^2 + 14*x + 1
8
3
1:
7*x^3 + 1
8
3
2:
42*x^3 + 21*x^2 + 1
8
3
3:
343*x^3 + 147*x^2 + 21*x + 1
8
4
1:
7*x^4 + 1
8
4
2:
35*x^4 + 28*x^3 + 1
8
4
3:
301*x^4 + 168*x^3 + 42*x^2 + 1
8
4
4:
2401*x^4 + 1372*x^3 + 294*x^2 + 28*x + 1
8
5
1:
7*x^5 + 1
8
5
2:
28*x^5 + 35*x^4 + 1
8
5
3:
266*x^5 + 175*x^4 + 70*x^3 + 1
8
5
4:
2100*x^5 + 1505*x^4 + 420*x^3 + 70*x^2 + 1
8
5
5:
16807*x^5 + 12005*x^4 + 3430*x^3 + 490*x^2 + 35*x + 1
8
6
1:
7*x^6 + 1
8
6
2:
21*x^6 + 42*x^5 + 1
8
6
3:
238*x^6 + 168*x^5 + 105*x^4 + 1
8
6
4:
1834*x^6 + 1596*x^5 + 525*x^4 + 140*x^3 + 1
8
6
5:
14707*x^6 + 12600*x^5 + 4515*x^4 + 840*x^3 + 105*x^2 + 1
8
6
6:
117649*x^6 + 100842*x^5 + 36015*x^4 + 6860*x^3 + 735*x^2 + 42*x + 1
8
7
1:
7*x^7 + 1
8
7
2:
14*x^7 + 49*x^6 + 1
8
7
3:
217*x^7 + 147*x^6 + 147*x^5 + 1
8
7
4:
1596*x^7 + 1666*x^6 + 588*x^5 + 245*x^4 + 1
8
7
5:
12873*x^7 + 12838*x^6 + 5586*x^5 + 1225*x^4 + 245*x^3 + 1
8
7
6:
102942*x^7 + 102949*x^6 + 44100*x^5 + 10535*x^4 + 1470*x^3 + 147*x^2 + 1
8
7
7:
823543*x^7 + 823543*x^6 + 352947*x^5 + 84035*x^4 + 12005*x^3 + 1029*x^2 + 49*x + 1
8
8
1:
7*x^8 + 1
8
8
2:
7*x^8 + 56*x^7 + 1
8
8
3:
203*x^8 + 112*x^7 + 196*x^6 + 1
8
8
4:
1379*x^8 + 1736*x^7 + 588*x^6 + 392*x^5 + 1
8
8
5:
11277*x^8 + 12768*x^7 + 6664*x^6 + 1568*x^5 + 490*x^4 + 1
8
8
6:
90069*x^8 + 102984*x^7 + 51352*x^6 + 14896*x^5 + 2450*x^4 + 392*x^3 + 1
8
8
7:
720601*x^8 + 823536*x^7 + 411796*x^6 + 117600*x^5 + 21070*x^4 + 2352*x^3 + 196*x^2 + 1
8
8
8:
5764801*x^8 + 6588344*x^7 + 3294172*x^6 + 941192*x^5 + 168070*x^4 + 19208*x^3 + 1372*x^2 + 56*x + 1
8
9
1:
7*x^9 + 1
8
9
2:
63*x^8 + 1
8
9
3:
196*x^9 + 63*x^8 + 252*x^7 + 1
8
9
4:
1176*x^9 + 1827*x^8 + 504*x^7 + 588*x^6 + 1
8
9
5:
9898*x^9 + 12411*x^8 + 7812*x^7 + 1764*x^6 + 882*x^5 + 1
8
9
6:
78792*x^9 + 101493*x^8 + 57456*x^7 + 19992*x^6 + 3528*x^5 + 882*x^4 + 1
8
9
7:
630532*x^9 + 810621*x^8 + 463428*x^7 + 154056*x^6 + 33516*x^5 + 4410*x^4 + 588*x^3 + 1
8
9
8:
5044200*x^9 + 6485409*x^8 + 3705912*x^7 + 1235388*x^6 + 264600*x^5 + 37926*x^4 + 3528*x^3 + 252*x^2 + 1
8
9
9:
40353607*x^9 + 51883209*x^8 + 29647548*x^7 + 9882516*x^6 + 2117682*x^5 + 302526*x^4 + 28812*x^3 + 1764*x^2 + 63*x + 1
9
1
1:
8*x + 1
9
2
1:
8*x^2 + 1
9
2
2:
64*x^2 + 16*x + 1
9
3
1:
8*x^3 + 1
9
3
2:
56*x^3 + 24*x^2 + 1
9
3
3:
512*x^3 + 192*x^2 + 24*x + 1
9
4
1:
8*x^4 + 1
9
4
2:
48*x^4 + 32*x^3 + 1
9
4
3:
456*x^4 + 224*x^3 + 48*x^2 + 1
9
4
4:
4096*x^4 + 2048*x^3 + 384*x^2 + 32*x + 1
9
5
1:
8*x^5 + 1
9
5
2:
40*x^5 + 40*x^4 + 1
9
5
3:
408*x^5 + 240*x^4 + 80*x^3 + 1
9
5
4:
3640*x^5 + 2280*x^4 + 560*x^3 + 80*x^2 + 1
9
5
5:
32768*x^5 + 20480*x^4 + 5120*x^3 + 640*x^2 + 40*x + 1
9
6
1:
8*x^6 + 1
9
6
2:
32*x^6 + 48*x^5 + 1
9
6
3:
368*x^6 + 240*x^5 + 120*x^4 + 1
9
6
4:
3232*x^6 + 2448*x^5 + 720*x^4 + 160*x^3 + 1
9
6
5:
29128*x^6 + 21840*x^5 + 6840*x^4 + 1120*x^3 + 120*x^2 + 1
9
6
6:
262144*x^6 + 196608*x^5 + 61440*x^4 + 10240*x^3 + 960*x^2 + 48*x + 1
9
7
1:
8*x^7 + 1
9
7
2:
24*x^7 + 56*x^6 + 1
9
7
3:
336*x^7 + 224*x^6 + 168*x^5 + 1
9
7
4:
2864*x^7 + 2576*x^6 + 840*x^5 + 280*x^4 + 1
9
7
5:
25896*x^7 + 22624*x^6 + 8568*x^5 + 1680*x^4 + 280*x^3 + 1
9
7
6:
233016*x^7 + 203896*x^6 + 76440*x^5 + 15960*x^4 + 1960*x^3 + 168*x^2 + 1
9
7
7:
2097152*x^7 + 1835008*x^6 + 688128*x^5 + 143360*x^4 + 17920*x^3 + 1344*x^2 + 56*x + 1
9
8
1:
8*x^8 + 1
9
8
2:
16*x^8 + 64*x^7 + 1
9
8
3:
312*x^8 + 192*x^7 + 224*x^6 + 1
9
8
4:
2528*x^8 + 2688*x^7 + 896*x^6 + 448*x^5 + 1
9
8
5:
23032*x^8 + 22912*x^7 + 10304*x^6 + 2240*x^5 + 560*x^4 + 1
9
8
6:
207120*x^8 + 207168*x^7 + 90496*x^6 + 22848*x^5 + 3360*x^4 + 448*x^3 + 1
9
8
7:
1864136*x^8 + 1864128*x^7 + 815584*x^6 + 203840*x^5 + 31920*x^4 + 3136*x^3 + 224*x^2 + 1
9
8
8:
16777216*x^8 + 16777216*x^7 + 7340032*x^6 + 1835008*x^5 + 286720*x^4 + 28672*x^3 + 1792*x^2 + 64*x + 1
9
9
1:
8*x^9 + 1
9
9
2:
8*x^9 + 72*x^8 + 1
9
9
3:
296*x^9 + 144*x^8 + 288*x^7 + 1
9
9
4:
2216*x^9 + 2808*x^8 + 864*x^7 + 672*x^6 + 1
9
9
5:
20504*x^9 + 22752*x^8 + 12096*x^7 + 2688*x^6 + 1008*x^5 + 1
9
9
6:
184088*x^9 + 207288*x^8 + 103104*x^7 + 30912*x^6 + 5040*x^5 + 1008*x^4 + 1
9
9
7:
1657016*x^9 + 1864080*x^8 + 932256*x^7 + 271488*x^6 + 51408*x^5 + 6048*x^4 + 672*x^3 + 1
9
9
8:
14913080*x^9 + 16777224*x^8 + 8388576*x^7 + 2446752*x^6 + 458640*x^5 + 57456*x^4 + 4704*x^3 + 288*x^2 + 1
9
9
9:
134217728*x^9 + 150994944*x^8 + 75497472*x^7 + 22020096*x^6 + 4128768*x^5 + 516096*x^4 + 43008*x^3 + 2304*x^2 + 72*x + 1
9
10
1:
8*x^10 + 1
9
10
2:
80*x^9 + 1
9
10
3:
288*x^10 + 80*x^9 + 360*x^8 + 1
9
10
4:
1920*x^10 + 2960*x^9 + 720*x^8 + 960*x^7 + 1
9
10
5:
18288*x^10 + 22160*x^9 + 14040*x^8 + 2880*x^7 + 1680*x^6 + 1
9
10
6:
163584*x^10 + 205040*x^9 + 113760*x^8 + 40320*x^7 + 6720*x^6 + 2016*x^5 + 1
9
10
7:
1472928*x^10 + 1840880*x^9 + 1036440*x^8 + 343680*x^7 + 77280*x^6 + 10080*x^5 + 1680*x^4 + 1
9
10
8:
13256064*x^10 + 16570160*x^9 + 9320400*x^8 + 3107520*x^7 + 678720*x^6 + 102816*x^5 + 10080*x^4 + 960*x^3 + 1
9
10
9:
119304648*x^10 + 149130800*x^9 + 83886120*x^8 + 27961920*x^7 + 6116880*x^6 + 917280*x^5 + 95760*x^4 + 6720*x^3 + 360*x^2 + 1
9
10
10:
1073741824*x^10 + 1342177280*x^9 + 754974720*x^8 + 251658240*x^7 + 55050240*x^6 + 8257536*x^5 + 860160*x^4 + 61440*x^3 + 2880*x^2 + 80*x + 1
11
1
1:
10*x + 1
11
2
1:
10*x^2 + 1
11
2
2:
100*x^2 + 20*x + 1
11
3
1:
10*x^3 + 1
11
3
2:
90*x^3 + 30*x^2 + 1
11
3
3:
1000*x^3 + 300*x^2 + 30*x + 1
11
4
1:
10*x^4 + 1
11
4
2:
80*x^4 + 40*x^3 + 1
11
4
3:
910*x^4 + 360*x^3 + 60*x^2 + 1
11
4
4:
10000*x^4 + 4000*x^3 + 600*x^2 + 40*x + 1
11
5
1:
10*x^5 + 1
11
5
2:
70*x^5 + 50*x^4 + 1
11
5
3:
830*x^5 + 400*x^4 + 100*x^3 + 1
11
5
4:
9090*x^5 + 4550*x^4 + 900*x^3 + 100*x^2 + 1
11
5
5:
100000*x^5 + 50000*x^4 + 10000*x^3 + 1000*x^2 + 50*x + 1
11
6
1:
10*x^6 + 1
11
6
2:
60*x^6 + 60*x^5 + 1
11
6
3:
760*x^6 + 420*x^5 + 150*x^4 + 1
11
6
4:
8260*x^6 + 4980*x^5 + 1200*x^4 + 200*x^3 + 1
11
6
5:
90910*x^6 + 54540*x^5 + 13650*x^4 + 1800*x^3 + 150*x^2 + 1
11
6
6:
1000000*x^6 + 600000*x^5 + 150000*x^4 + 20000*x^3 + 1500*x^2 + 60*x + 1
11
7
1:
10*x^7 + 1
11
7
2:
50*x^7 + 70*x^6 + 1
11
7
3:
700*x^7 + 420*x^6 + 210*x^5 + 1
11
7
4:
7500*x^7 + 5320*x^6 + 1470*x^5 + 350*x^4 + 1
11
7
5:
82650*x^7 + 57820*x^6 + 17430*x^5 + 2800*x^4 + 350*x^3 + 1
11
7
6:
909090*x^7 + 636370*x^6 + 190890*x^5 + 31850*x^4 + 3150*x^3 + 210*x^2 + 1
11
7
7:
10000000*x^7 + 7000000*x^6 + 2100000*x^5 + 350000*x^4 + 35000*x^3 + 2100*x^2 + 70*x + 1
11
8
1:
10*x^8 + 1
11
8
2:
40*x^8 + 80*x^7 + 1
11
8
3:
650*x^8 + 400*x^7 + 280*x^6 + 1
11
8
4:
6800*x^8 + 5600*x^7 + 1680*x^6 + 560*x^5 + 1
11
8
5:
75150*x^8 + 60000*x^7 + 21280*x^6 + 3920*x^5 + 700*x^4 + 1
11
8
6:
826440*x^8 + 661200*x^7 + 231280*x^6 + 46480*x^5 + 5600*x^4 + 560*x^3 + 1
11
8
7:
9090910*x^8 + 7272720*x^7 + 2545480*x^6 + 509040*x^5 + 63700*x^4 + 5040*x^3 + 280*x^2 + 1
11
8
8:
100000000*x^8 + 80000000*x^7 + 28000000*x^6 + 5600000*x^5 + 700000*x^4 + 56000*x^3 + 2800*x^2 + 80*x + 1
11
9
1:
10*x^9 + 1
11
9
2:
30*x^9 + 90*x^8 + 1
11
9
3:
610*x^9 + 360*x^8 + 360*x^7 + 1
11
9
4:
6150*x^9 + 5850*x^8 + 1800*x^7 + 840*x^6 + 1
11
9
5:
68350*x^9 + 61200*x^8 + 25200*x^7 + 5040*x^6 + 1260*x^5 + 1
11
9
6:
751290*x^9 + 676350*x^8 + 270000*x^7 + 63840*x^6 + 8820*x^5 + 1260*x^4 + 1
11
9
7:
8264470*x^9 + 7437960*x^8 + 2975400*x^7 + 693840*x^6 + 104580*x^5 + 10080*x^4 + 840*x^3 + 1
11
9
8:
90909090*x^9 + 81818190*x^8 + 32727240*x^7 + 7636440*x^6 + 1145340*x^5 + 114660*x^4 + 7560*x^3 + 360*x^2 + 1
11
9
9:
1000000000*x^9 + 900000000*x^8 + 360000000*x^7 + 84000000*x^6 + 12600000*x^5 + 1260000*x^4 + 84000*x^3 + 3600*x^2 + 90*x + 1
11
10
1:
10*x^10 + 1
11
10
2:
20*x^10 + 100*x^9 + 1
11
10
3:
580*x^10 + 300*x^9 + 450*x^8 + 1
11
10
4:
5540*x^10 + 6100*x^9 + 1800*x^8 + 1200*x^7 + 1
11
10
5:
62200*x^10 + 61500*x^9 + 29250*x^8 + 6000*x^7 + 2100*x^6 + 1
11
10
6:
682940*x^10 + 683500*x^9 + 306000*x^8 + 84000*x^7 + 12600*x^6 + 2520*x^5 + 1
11
10
7:
7513180*x^10 + 7512900*x^9 + 3381750*x^8 + 900000*x^7 + 159600*x^6 + 17640*x^5 + 2100*x^4 + 1
11
10
8:
82644620*x^10 + 82644700*x^9 + 37189800*x^8 + 9918000*x^7 + 1734600*x^6 + 209160*x^5 + 16800*x^4 + 1200*x^3 + 1
11
10
9:
909090910*x^10 + 909090900*x^9 + 409090950*x^8 + 109090800*x^7 + 19091100*x^6 + 2290680*x^5 + 191100*x^4 + 10800*x^3 + 450*x^2 + 1
11
10
10:
10000000000*x^10 + 10000000000*x^9 + 4500000000*x^8 + 1200000000*x^7 + 210000000*x^6 + 25200000*x^5 + 2100000*x^4 + 120000*x^3 + 4500*x^2 + 100*x + 1
11
11
1:
10*x^11 + 1
11
11
2:
10*x^11 + 110*x^10 + 1
11
11
3:
560*x^11 + 220*x^10 + 550*x^9 + 1
11
11
4:
4960*x^11 + 6380*x^10 + 1650*x^9 + 1650*x^8 + 1
11
11
5:
56660*x^11 + 60940*x^10 + 33550*x^9 + 6600*x^8 + 3300*x^7 + 1
11
11
6:
620740*x^11 + 684200*x^10 + 338250*x^9 + 107250*x^8 + 16500*x^7 + 4620*x^6 + 1
11
11
7:
6830240*x^11 + 7512340*x^10 + 3759250*x^9 + 1122000*x^8 + 231000*x^7 + 27720*x^6 + 4620*x^5 + 1
11
11
8:
75131440*x^11 + 82644980*x^10 + 41320950*x^9 + 12399750*x^8 + 2475000*x^7 + 351120*x^6 + 32340*x^5 + 3300*x^4 + 1
11
11
9:
826446290*x^11 + 909090820*x^10 + 454545850*x^9 + 136362600*x^8 + 27274500*x^7 + 3816120*x^6 + 383460*x^5 + 26400*x^4 + 1650*x^3 + 1
11
11
10:
9090909090*x^11 + 10000000010*x^10 + 4999999950*x^9 + 1500000150*x^8 + 299999700*x^7 + 42000420*x^6 + 4199580*x^5 + 300300*x^4 + 14850*x^3 + 550*x^2 + 1
11
11
11:
100000000000*x^11 + 110000000000*x^10 + 55000000000*x^9 + 16500000000*x^8 + 3300000000*x^7 + 462000000*x^6 + 46200000*x^5 + 3300000*x^4 + 165000*x^3 + 5500*x^2 + 110*x + 1
11
12
1:
10*x^12 + 1
11
12
2:
120*x^11 + 1
11
12
3:
550*x^12 + 120*x^11 + 660*x^10 + 1
11
12
4:
4400*x^12 + 6720*x^11 + 1320*x^10 + 2200*x^9 + 1
11
12
5:
51700*x^12 + 59520*x^11 + 38280*x^10 + 6600*x^9 + 4950*x^8 + 1
11
12
6:
564080*x^12 + 679920*x^11 + 365640*x^10 + 134200*x^9 + 19800*x^8 + 7920*x^7 + 1
11
12
7:
6209500*x^12 + 7448880*x^11 + 4105200*x^10 + 1353000*x^9 + 321750*x^8 + 39600*x^7 + 9240*x^6 + 1
11
12
8:
68301200*x^12 + 81962880*x^11 + 45074040*x^10 + 15037000*x^9 + 3366000*x^8 + 554400*x^7 + 55440*x^6 + 7920*x^5 + 1
11
12
9:
751314850*x^12 + 901577280*x^11 + 495869880*x^10 + 165283800*x^9 + 37199250*x^8 + 5940000*x^7 + 702240*x^6 + 55440*x^5 + 4950*x^4 + 1
11
12
10:
8264462800*x^12 + 9917355480*x^11 + 5454544920*x^10 + 1818183400*x^9 + 409087800*x^8 + 65458800*x^7 + 7632240*x^6 + 657360*x^5 + 39600*x^4 + 2200*x^3 + 1
11
12
11:
90909090910*x^12 + 109090909080*x^11 + 60000000060*x^10 + 19999999800*x^9 + 4500000450*x^8 + 719999280*x^7 + 84000840*x^6 + 7199280*x^5 + 450450*x^4 + 19800*x^3 + 660*x^2 + 1
11
12
12:
1000000000000*x^12 + 1200000000000*x^11 + 660000000000*x^10 + 220000000000*x^9 + 49500000000*x^8 + 7920000000*x^7 + 924000000*x^6 + 79200000*x^5 + 4950000*x^4 + 220000*x^3 + 6600*x^2 + 120*x + 1
13
1
1:
12*x + 1
13
2
1:
12*x^2 + 1
13
2
2:
144*x^2 + 24*x + 1
13
3
1:
12*x^3 + 1
13
3
2:
132*x^3 + 36*x^2 + 1
13
3
3:
1728*x^3 + 432*x^2 + 36*x + 1
13
4
1:
12*x^4 + 1
13
4
2:
120*x^4 + 48*x^3 + 1
13
4
3:
1596*x^4 + 528*x^3 + 72*x^2 + 1
13
4
4:
20736*x^4 + 6912*x^3 + 864*x^2 + 48*x + 1
13
5
1:
12*x^5 + 1
13
5
2:
108*x^5 + 60*x^4 + 1
13
5
3:
1476*x^5 + 600*x^4 + 120*x^3 + 1
13
5
4:
19140*x^5 + 7980*x^4 + 1320*x^3 + 120*x^2 + 1
13
5
5:
248832*x^5 + 103680*x^4 + 17280*x^3 + 1440*x^2 + 60*x + 1
13
6
1:
12*x^6 + 1
13
6
2:
96*x^6 + 72*x^5 + 1
13
6
3:
1368*x^6 + 648*x^5 + 180*x^4 + 1
13
6
4:
17664*x^6 + 8856*x^5 + 1800*x^4 + 240*x^3 + 1
13
6
5:
229692*x^6 + 114840*x^5 + 23940*x^4 + 2640*x^3 + 180*x^2 + 1
13
6
6:
2985984*x^6 + 1492992*x^5 + 311040*x^4 + 34560*x^3 + 2160*x^2 + 72*x + 1
13
7
1:
12*x^7 + 1
13
7
2:
84*x^7 + 84*x^6 + 1
13
7
3:
1272*x^7 + 672*x^6 + 252*x^5 + 1
13
7
4:
16296*x^7 + 9576*x^6 + 2268*x^5 + 420*x^4 + 1
13
7
5:
212028*x^7 + 123648*x^6 + 30996*x^5 + 4200*x^4 + 420*x^3 + 1
13
7
6:
2756292*x^7 + 1607844*x^6 + 401940*x^5 + 55860*x^4 + 4620*x^3 + 252*x^2 + 1
13
7
7:
35831808*x^7 + 20901888*x^6 + 5225472*x^5 + 725760*x^4 + 60480*x^3 + 3024*x^2 + 84*x + 1
13
8
1:
12*x^8 + 1
13
8
2:
72*x^8 + 96*x^7 + 1
13
8
3:
1188*x^8 + 672*x^7 + 336*x^6 + 1
13
8
4:
15024*x^8 + 10176*x^7 + 2688*x^6 + 672*x^5 + 1
13
8
5:
195732*x^8 + 130368*x^7 + 38304*x^6 + 6048*x^5 + 840*x^4 + 1
13
8
6:
2544264*x^8 + 1696224*x^7 + 494592*x^6 + 82656*x^5 + 8400*x^4 + 672*x^3 + 1
13
8
7:
33075516*x^8 + 22050336*x^7 + 6431376*x^6 + 1071840*x^5 + 111720*x^4 + 7392*x^3 + 336*x^2 + 1
13
8
8:
429981696*x^8 + 286654464*x^7 + 83607552*x^6 + 13934592*x^5 + 1451520*x^4 + 96768*x^3 + 4032*x^2 + 96*x + 1
13
9
1:
12*x^9 + 1
13
9
2:
60*x^9 + 108*x^8 + 1
13
9
3:
1116*x^9 + 648*x^8 + 432*x^7 + 1
13
9
4:
13836*x^9 + 10692*x^8 + 3024*x^7 + 1008*x^6 + 1
13
9
5:
180708*x^9 + 135216*x^8 + 45792*x^7 + 8064*x^6 + 1512*x^5 + 1
13
9
6:
2348532*x^9 + 1761588*x^8 + 586656*x^7 + 114912*x^6 + 13608*x^5 + 1512*x^4 + 1
13
9
7:
30531252*x^9 + 22898376*x^8 + 7633008*x^7 + 1483776*x^6 + 185976*x^5 + 15120*x^4 + 1008*x^3 + 1
13
9
8:
396906180*x^9 + 297679644*x^8 + 99226512*x^7 + 19294128*x^6 + 2411640*x^5 + 201096*x^4 + 11088*x^3 + 432*x^2 + 1
13
9
9:
5159780352*x^9 + 3869835264*x^8 + 1289945088*x^7 + 250822656*x^6 + 31352832*x^5 + 2612736*x^4 + 145152*x^3 + 5184*x^2 + 108*x + 1
13
10
1:
12*x^10 + 1
13
10
2:
48*x^10 + 120*x^9 + 1
13
10
3:
1056*x^10 + 600*x^9 + 540*x^8 + 1
13
10
4:
12720*x^10 + 11160*x^9 + 3240*x^8 + 1440*x^7 + 1
13
10
5:
166872*x^10 + 138360*x^9 + 53460*x^8 + 10080*x^7 + 2520*x^6 + 1
13
10
6:
2167824*x^10 + 1807080*x^9 + 676080*x^8 + 152640*x^7 + 20160*x^6 + 3024*x^5 + 1
13
10
7:
28182720*x^10 + 23485320*x^9 + 8807940*x^8 + 1955520*x^7 + 287280*x^6 + 27216*x^5 + 2520*x^4 + 1
13
10
8:
366374928*x^10 + 305312520*x^9 + 114491880*x^8 + 25443360*x^7 + 3709440*x^6 + 371952*x^5 + 25200*x^4 + 1440*x^3 + 1
13
10
9:
4762874172*x^10 + 3969061800*x^9 + 1488398220*x^8 + 330755040*x^7 + 48235320*x^6 + 4823280*x^5 + 335160*x^4 + 15840*x^3 + 540*x^2 + 1
13
10
10:
61917364224*x^10 + 51597803520*x^9 + 19349176320*x^8 + 4299816960*x^7 + 627056640*x^6 + 62705664*x^5 + 4354560*x^4 + 207360*x^3 + 6480*x^2 + 120*x + 1
13
11
1:
12*x^11 + 1
13
11
2:
36*x^11 + 132*x^10 + 1
13
11
3:
1008*x^11 + 528*x^10 + 660*x^9 + 1
13
11
4:
11664*x^11 + 11616*x^10 + 3300*x^9 + 1980*x^8 + 1
13
11
5:
154152*x^11 + 139920*x^10 + 61380*x^9 + 11880*x^8 + 3960*x^7 + 1
13
11
6:
2000952*x^11 + 1835592*x^10 + 760980*x^9 + 196020*x^8 + 27720*x^7 + 5544*x^6 + 1
13
11
7:
26014896*x^11 + 23846064*x^10 + 9938940*x^9 + 2478960*x^8 + 419760*x^7 + 44352*x^6 + 5544*x^5 + 1
13
11
8:
338192208*x^11 + 310009920*x^10 + 129169260*x^9 + 32295780*x^8 + 5377680*x^7 + 632016*x^6 + 49896*x^5 + 3960*x^4 + 1
13
11
9:
4396499244*x^11 + 4030124208*x^10 + 1679218860*x^9 + 419803560*x^8 + 69969240*x^7 + 8160768*x^6 + 681912*x^5 + 39600*x^4 + 1980*x^3 + 1
13
11
10:
57154490052*x^11 + 52391615892*x^10 + 21829839900*x^9 + 5457460140*x^8 + 909576360*x^7 + 106117704*x^6 + 8842680*x^5 + 526680*x^4 + 21780*x^3 + 660*x^2 + 1
13
11
11:
743008370688*x^11 + 681091006464*x^10 + 283787919360*x^9 + 70946979840*x^8 + 11824496640*x^7 + 1379524608*x^6 + 114960384*x^5 + 6842880*x^4 + 285120*x^3 + 7920*x^2 + 132*x + 1
13
12
1:
12*x^12 + 1
13
12
2:
24*x^12 + 144*x^11 + 1
13
12
3:
972*x^12 + 432*x^11 + 792*x^10 + 1
13
12
4:
10656*x^12 + 12096*x^11 + 3168*x^10 + 2640*x^9 + 1
13
12
5:
142488*x^12 + 139968*x^11 + 69696*x^10 + 13200*x^9 + 5940*x^8 + 1
13
12
6:
1846800*x^12 + 1849824*x^11 + 839520*x^10 + 245520*x^9 + 35640*x^8 + 9504*x^7 + 1
13
12
7:
24013944*x^12 + 24011424*x^11 + 11013552*x^10 + 3043920*x^9 + 588060*x^8 + 66528*x^7 + 11088*x^6 + 1
13
12
8:
312177312*x^12 + 312178752*x^11 + 143076384*x^10 + 39755760*x^9 + 7436880*x^8 + 1007424*x^7 + 88704*x^6 + 9504*x^5 + 1
13
12
9:
4058307036*x^12 + 4058306496*x^11 + 1860059520*x^10 + 516677040*x^9 + 96887340*x^8 + 12906432*x^7 + 1264032*x^6 + 85536*x^5 + 5940*x^4 + 1
13
12
10:
52757990808*x^12 + 52757990928*x^11 + 24180745248*x^10 + 6716875440*x^9 + 1259410680*x^8 + 167926176*x^7 + 16321536*x^6 + 1168992*x^5 + 59400*x^4 + 2640*x^3 + 1
13
12
11:
685853880636*x^12 + 685853880624*x^11 + 314349695352*x^10 + 87319359600*x^9 + 16372380420*x^8 + 2182983264*x^7 + 212235408*x^6 + 15158880*x^5 + 790020*x^4 + 29040*x^3 + 792*x^2 + 1
13
12
12:
8916100448256*x^12 + 8916100448256*x^11 + 4086546038784*x^10 + 1135151677440*x^9 + 212840939520*x^8 + 28378791936*x^7 + 2759049216*x^6 + 197074944*x^5 + 10264320*x^4 + 380160*x^3 + 9504*x^2 + 144*x + 1
13
13
1:
12*x^13 + 1
13
13
2:
12*x^13 + 156*x^12 + 1
13
13
3:
948*x^13 + 312*x^12 + 936*x^11 + 1
13
13
4:
9684*x^13 + 12636*x^12 + 2808*x^11 + 3432*x^10 + 1
13
13
5:
131832*x^13 + 138528*x^12 + 78624*x^11 + 13728*x^10 + 8580*x^9 + 1
13
13
6:
1704312*x^13 + 1852344*x^12 + 909792*x^11 + 302016*x^10 + 42900*x^9 + 15444*x^8 + 1
13
13
7:
22167144*x^13 + 24008400*x^12 + 12023856*x^11 + 3637920*x^10 + 797940*x^9 + 92664*x^8 + 20592*x^7 + 1
13
13
8:
288163368*x^13 + 312181272*x^12 + 156074256*x^11 + 47725392*x^10 + 9892740*x^9 + 1528956*x^8 + 144144*x^7 + 20592*x^6 + 1
13
13
9:
3746129724*x^13 + 4058305056*x^12 + 2029161888*x^11 + 619997664*x^10 + 129206220*x^9 + 19335888*x^8 + 2182752*x^7 + 164736*x^6 + 15444*x^5 + 1
13
13
10:
48699683772*x^13 + 52757991468*x^12 + 26378992224*x^11 + 8060257920*x^10 + 1679200380*x^9 + 251907084*x^8 + 27963936*x^7 + 2347488*x^6 + 138996*x^5 + 8580*x^4 + 1
13
13
11:
633095889828*x^13 + 685853880504*x^12 + 342926941032*x^11 + 104783229408*x^10 + 21829845180*x^9 + 3274467768*x^8 + 363840048*x^7 + 30311424*x^6 + 1899612*x^5 + 85800*x^4 + 3432*x^3 + 1
13
13
12:
8230246567620*x^13 + 8916100448268*x^12 + 4458050224056*x^11 + 1362182013192*x^10 + 283787918700*x^9 + 42568189092*x^8 + 4729797072*x^7 + 394151472*x^6 + 24633180*x^5 + 1141140*x^4 + 37752*x^3 + 936*x^2 + 1
13
13
13:
106993205379072*x^13 + 115909305827328*x^12 + 57954652913664*x^11 + 17708366168064*x^10 + 3689242951680*x^9 + 553386442752*x^8 + 61487382528*x^7 + 5123948544*x^6 + 320246784*x^5 + 14826240*x^4 + 494208*x^3 + 11232*x^2 + 156*x + 1
13
14
1:
12*x^14 + 1
13
14
2:
168*x^13 + 1
13
14
3:
936*x^14 + 168*x^13 + 1092*x^12 + 1
13
14
4:
8736*x^14 + 13272*x^13 + 2184*x^12 + 4368*x^11 + 1
13
14
5:
122148*x^14 + 135576*x^13 + 88452*x^12 + 13104*x^11 + 12012*x^10 + 1
13
14
6:
1572480*x^14 + 1845648*x^13 + 969696*x^12 + 366912*x^11 + 48048*x^10 + 24024*x^9 + 1
13
14
7:
20462832*x^14 + 23860368*x^13 + 12966408*x^12 + 4245696*x^11 + 1057056*x^10 + 120120*x^9 + 36036*x^8 + 1
13
14
8:
265996224*x^14 + 310340016*x^13 + 168058800*x^12 + 56111328*x^11 + 12732720*x^10 + 2234232*x^9 + 216216*x^8 + 41184*x^7 + 1
13
14
9:
3457966356*x^14 + 4034287152*x^13 + 2185268904*x^12 + 728346528*x^11 + 167038872*x^10 + 27699672*x^9 + 3567564*x^8 + 288288*x^7 + 36036*x^6 + 1
13
14
10:
44953554048*x^14 + 52445816136*x^13 + 28408135392*x^12 + 9469422144*x^11 + 2169991824*x^10 + 361777416*x^9 + 45117072*x^8 + 4365504*x^7 + 288288*x^6 + 24024*x^5 + 1
13
14
11:
584396206056*x^14 + 681795572808*x^13 + 369305940276*x^12 + 123101963712*x^11 + 28210902720*x^10 + 4701761064*x^9 + 587783196*x^8 + 55927872*x^7 + 4108104*x^6 + 216216*x^5 + 12012*x^4 + 1
13
14
12:
7597150677792*x^14 + 8863342457592*x^13 + 4800977163528*x^12 + 1600325724816*x^11 + 366741302928*x^10 + 61123566504*x^9 + 7640424792*x^8 + 727680096*x^7 + 53044992*x^6 + 2954952*x^5 + 120120*x^4 + 4368*x^3 + 1
13
14
13:
98762958811452*x^14 + 115223451946680*x^13 + 62412703137876*x^12 + 20804234378928*x^11 + 4767637046172*x^10 + 794606172360*x^9 + 99325774548*x^8 + 9459594144*x^7 + 689765076*x^6 + 38318280*x^5 + 1597596*x^4 + 48048*x^3 + 1092*x^2 + 1
13
14
14:
1283918464548864*x^14 + 1497904875307008*x^13 + 811365140791296*x^12 + 270455046930432*x^11 + 61979281588224*x^10 + 10329880264704*x^9 + 1291235033088*x^8 + 122974765056*x^7 + 8966909952*x^6 + 498161664*x^5 + 20756736*x^4 + 628992*x^3 + 13104*x^2 + 168*x + 1
16
1
1:
15*x + 1
16
2
1:
15*x^2 + 1
16
2
2:
225*x^2 + 30*x + 1
16
3
1:
15*x^3 + 1
16
3
2:
210*x^3 + 45*x^2 + 1
16
3
3:
3375*x^3 + 675*x^2 + 45*x + 1
16
4
1:
15*x^4 + 1
16
4
2:
195*x^4 + 60*x^3 + 1
16
4
3:
3165*x^4 + 840*x^3 + 90*x^2 + 1
16
4
4:
50625*x^4 + 13500*x^3 + 1350*x^2 + 60*x + 1
16
5
1:
15*x^5 + 1
16
5
2:
180*x^5 + 75*x^4 + 1
16
5
3:
2970*x^5 + 975*x^4 + 150*x^3 + 1
16
5
4:
47460*x^5 + 15825*x^4 + 2100*x^3 + 150*x^2 + 1
16
5
5:
759375*x^5 + 253125*x^4 + 33750*x^3 + 2250*x^2 + 75*x + 1
16
6
1:
15*x^6 + 1
16
6
2:
165*x^6 + 90*x^5 + 1
16
6
3:
2790*x^6 + 1080*x^5 + 225*x^4 + 1
16
6
4:
44490*x^6 + 17820*x^5 + 2925*x^4 + 300*x^3 + 1
16
6
5:
711915*x^6 + 284760*x^5 + 47475*x^4 + 4200*x^3 + 225*x^2 + 1
16
6
6:
11390625*x^6 + 4556250*x^5 + 759375*x^4 + 67500*x^3 + 3375*x^2 + 90*x + 1
16
7
1:
15*x^7 + 1
16
7
2:
150*x^7 + 105*x^6 + 1
16
7
3:
2625*x^7 + 1155*x^6 + 315*x^5 + 1
16
7
4:
41700*x^7 + 19530*x^6 + 3780*x^5 + 525*x^4 + 1
16
7
5:
667425*x^7 + 311430*x^6 + 62370*x^5 + 6825*x^4 + 525*x^3 + 1
16
7
6:
10678710*x^7 + 4983405*x^6 + 996660*x^5 + 110775*x^4 + 7350*x^3 + 315*x^2 + 1
16
7
7:
170859375*x^7 + 79734375*x^6 + 15946875*x^5 + 1771875*x^4 + 118125*x^3 + 4725*x^2 + 105*x + 1
16
8
1:
15*x^8 + 1
16
8
2:
135*x^8 + 120*x^7 + 1
16
8
3:
2475*x^8 + 1200*x^7 + 420*x^6 + 1
16
8
4:
39075*x^8 + 21000*x^7 + 4620*x^6 + 840*x^5 + 1
16
8
5:
625725*x^8 + 333600*x^7 + 78120*x^6 + 10080*x^5 + 1050*x^4 + 1
16
8
6:
10011285*x^8 + 5339400*x^7 + 1245720*x^6 + 166320*x^5 + 13650*x^4 + 840*x^3 + 1
16
8
7:
160180665*x^8 + 85429680*x^7 + 19933620*x^6 + 2657760*x^5 + 221550*x^4 + 11760*x^3 + 420*x^2 + 1
16
8
8:
2562890625*x^8 + 1366875000*x^7 + 318937500*x^6 + 42525000*x^5 + 3543750*x^4 + 189000*x^3 + 6300*x^2 + 120*x + 1
16
9
1:
15*x^9 + 1
16
9
2:
120*x^9 + 135*x^8 + 1
16
9
3:
2340*x^9 + 1215*x^8 + 540*x^7 + 1
16
9
4:
36600*x^9 + 22275*x^8 + 5400*x^7 + 1260*x^6 + 1
16
9
5:
586650*x^9 + 351675*x^8 + 94500*x^7 + 13860*x^6 + 1890*x^5 + 1
16
9
6:
9385560*x^9 + 5631525*x^8 + 1501200*x^7 + 234360*x^6 + 22680*x^5 + 1890*x^4 + 1
16
9
7:
150169380*x^9 + 90101565*x^8 + 24027300*x^7 + 3737160*x^6 + 374220*x^5 + 24570*x^4 + 1260*x^3 + 1
16
9
8:
2402709960*x^9 + 1441625985*x^8 + 384433560*x^7 + 59800860*x^6 + 5979960*x^5 + 398790*x^4 + 17640*x^3 + 540*x^2 + 1
16
9
9:
38443359375*x^9 + 23066015625*x^8 + 6150937500*x^7 + 956812500*x^6 + 95681250*x^5 + 6378750*x^4 + 283500*x^3 + 8100*x^2 + 135*x + 1
16
10
1:
15*x^10 + 1
16
10
2:
105*x^10 + 150*x^9 + 1
16
10
3:
2220*x^10 + 1200*x^9 + 675*x^8 + 1
16
10
4:
34260*x^10 + 23400*x^9 + 6075*x^8 + 1800*x^7 + 1
16
10
5:
550050*x^10 + 366000*x^9 + 111375*x^8 + 18000*x^7 + 3150*x^6 + 1
16
10
6:
8798910*x^10 + 5866500*x^9 + 1758375*x^8 + 315000*x^7 + 34650*x^6 + 3780*x^5 + 1
16
10
7:
140783820*x^10 + 93855600*x^9 + 28157625*x^8 + 5004000*x^7 + 585900*x^6 + 45360*x^5 + 3150*x^4 + 1
16
10
8:
2252540580*x^10 + 1501693800*x^9 + 450507825*x^8 + 80091000*x^7 + 9342900*x^6 + 748440*x^5 + 40950*x^4 + 1800*x^3 + 1
16
10
9:
36040649415*x^10 + 24027099600*x^9 + 7208129925*x^8 + 1281445200*x^7 + 149502150*x^6 + 11959920*x^5 + 664650*x^4 + 25200*x^3 + 675*x^2 + 1
16
10
10:
576650390625*x^10 + 384433593750*x^9 + 115330078125*x^8 + 20503125000*x^7 + 2392031250*x^6 + 191362500*x^5 + 10631250*x^4 + 405000*x^3 + 10125*x^2 + 150*x + 1
16
11
1:
15*x^11 + 1
16
11
2:
90*x^11 + 165*x^10 + 1
16
11
3:
2115*x^11 + 1155*x^10 + 825*x^9 + 1
16
11
4:
32040*x^11 + 24420*x^10 + 6600*x^9 + 2475*x^8 + 1
16
11
5:
515790*x^11 + 376860*x^10 + 128700*x^9 + 22275*x^8 + 4950*x^7 + 1
16
11
6:
8248860*x^11 + 6050550*x^10 + 2013000*x^9 + 408375*x^8 + 49500*x^7 + 6930*x^6 + 1
16
11
7:
131984910*x^11 + 96788010*x^10 + 32265750*x^9 + 6447375*x^8 + 866250*x^7 + 76230*x^6 + 6930*x^5 + 1
16
11
8:
2111756760*x^11 + 1548622020*x^10 + 516205800*x^9 + 103244625*x^8 + 13761000*x^7 + 1288980*x^6 + 83160*x^5 + 4950*x^4 + 1
16
11
9:
33788108835*x^11 + 24777946380*x^10 + 8259315900*x^9 + 1651862025*x^8 + 220250250*x^7 + 20554380*x^6 + 1372140*x^5 + 64350*x^4 + 2475*x^3 + 1
16
11
10:
540609741210*x^11 + 396447143565*x^10 + 132149047800*x^9 + 26429809725*x^8 + 3523974300*x^7 + 328904730*x^6 + 21926520*x^5 + 1044450*x^4 + 34650*x^3 + 825*x^2 + 1
16
11
11:
8649755859375*x^11 + 6343154296875*x^10 + 2114384765625*x^9 + 422876953125*x^8 + 56383593750*x^7 + 5262468750*x^6 + 350831250*x^5 + 16706250*x^4 + 556875*x^3 + 12375*x^2 + 165*x + 1
16
12
1:
15*x^12 + 1
16
12
2:
75*x^12 + 180*x^11 + 1
16
12
3:
2025*x^12 + 1080*x^11 + 990*x^10 + 1
16
12
4:
29925*x^12 + 25380*x^11 + 6930*x^10 + 3300*x^9 + 1
16
12
5:
483750*x^12 + 384480*x^11 + 146520*x^10 + 26400*x^9 + 7425*x^8 + 1
16
12
6:
7733070*x^12 + 6189480*x^11 + 2261160*x^10 + 514800*x^9 + 66825*x^8 + 11880*x^7 + 1
16
12
7:
123736050*x^12 + 98986320*x^11 + 36303300*x^10 + 8052000*x^9 + 1225125*x^8 + 118800*x^7 + 13860*x^6 + 1
16
12
8:
1979771850*x^12 + 1583818920*x^11 + 580728060*x^10 + 129063000*x^9 + 19342125*x^8 + 2079000*x^7 + 152460*x^6 + 11880*x^5 + 1
16
12
9:
31676352075*x^12 + 25341081120*x^11 + 9291732120*x^10 + 2064823200*x^9 + 309733875*x^8 + 33026400*x^7 + 2577960*x^6 + 142560*x^5 + 7425*x^4 + 1
16
12
10:
506821632375*x^12 + 405457306020*x^11 + 148667678280*x^10 + 33037263600*x^9 + 4955586075*x^8 + 528600600*x^7 + 41108760*x^6 + 2352240*x^5 + 96525*x^4 + 3300*x^3 + 1
16
12
11:
8109146118165*x^12 + 6487316894520*x^11 + 2378682861390*x^10 + 528596191200*x^9 + 79289429175*x^8 + 8457538320*x^7 + 657809460*x^6 + 37588320*x^5 + 1566675*x^4 + 46200*x^3 + 990*x^2 + 1
16
12
12:
129746337890625*x^12 + 103797070312500*x^11 + 38058925781250*x^10 + 8457539062500*x^9 + 1268630859375*x^8 + 135320625000*x^7 + 10524937500*x^6 + 601425000*x^5 + 25059375*x^4 + 742500*x^3 + 14850*x^2 + 180*x + 1
16
13
1:
15*x^13 + 1
16
13
2:
60*x^13 + 195*x^12 + 1
16
13
3:
1950*x^13 + 975*x^12 + 1170*x^11 + 1
16
13
4:
27900*x^13 + 26325*x^12 + 7020*x^11 + 4290*x^10 + 1
16
13
5:
453825*x^13 + 389025*x^12 + 164970*x^11 + 30030*x^10 + 10725*x^9 + 1
16
13
6:
7249320*x^13 + 6288750*x^12 + 2499120*x^11 + 634920*x^10 + 85800*x^9 + 19305*x^8 + 1
16
13
7:
116002980*x^13 + 100529910*x^12 + 40231620*x^11 + 9798360*x^10 + 1673100*x^9 + 173745*x^8 + 25740*x^7 + 1
16
13
8:
1856035800*x^13 + 1608568650*x^12 + 643411080*x^11 + 157314300*x^10 + 26169000*x^9 + 3185325*x^8 + 257400*x^7 + 25740*x^6 + 1
16
13
9:
29696580225*x^13 + 25737034050*x^12 + 10294822980*x^11 + 2516488260*x^10 + 419454750*x^9 + 50289525*x^8 + 4504500*x^7 + 283140*x^6 + 19305*x^5 + 1
16
13
10:
475145280300*x^13 + 411792576975*x^12 + 164717027280*x^11 + 40264172520*x^10 + 6710675400*x^9 + 805308075*x^8 + 71557200*x^7 + 4787640*x^6 + 231660*x^5 + 10725*x^4 + 1
16
13
11:
7602324485790*x^13 + 6588681220875*x^12 + 2635472489130*x^11 + 644226605880*x^10 + 107371106700*x^9 + 12884523795*x^8 + 1145301300*x^7 + 76344840*x^6 + 3822390*x^5 + 139425*x^4 + 4290*x^3 + 1
16
13
12:
121637191772460*x^13 + 105418899536145*x^12 + 42167559814380*x^11 + 10307625732690*x^10 + 1717937621400*x^9 + 206152515855*x^8 + 18324666360*x^7 + 1221646140*x^6 + 61081020*x^5 + 2262975*x^4 + 60060*x^3 + 1170*x^2 + 1
16
13
13:
1946195068359375*x^13 + 1686702392578125*x^12 + 674680957031250*x^11 + 164922011718750*x^10 + 27487001953125*x^9 + 3298440234375*x^8 + 293194687500*x^7 + 19546312500*x^6 + 977315625*x^5 + 36196875*x^4 + 965250*x^3 + 17550*x^2 + 195*x + 1
16
14
1:
15*x^14 + 1
16
14
2:
45*x^14 + 210*x^13 + 1
16
14
3:
1890*x^14 + 840*x^13 + 1365*x^12 + 1
16
14
4:
25950*x^14 + 27300*x^13 + 6825*x^12 + 5460*x^11 + 1
16
14
5:
425925*x^14 + 390600*x^13 + 184275*x^12 + 32760*x^11 + 15015*x^10 + 1
16
14
6:
6795495*x^14 + 6353550*x^13 + 2723175*x^12 + 769860*x^11 + 105105*x^10 + 30030*x^9 + 1
16
14
7:
108753660*x^14 + 101490480*x^13 + 44021250*x^12 + 11662560*x^11 + 2222220*x^10 + 240240*x^9 + 45045*x^8 + 1
16
14
8:
1740032820*x^14 + 1624041720*x^13 + 703709370*x^12 + 187747560*x^11 + 34294260*x^10 + 4684680*x^9 + 405405*x^8 + 51480*x^7 + 1
16
14
9:
27840544425*x^14 + 25984501200*x^13 + 11259980550*x^12 + 3002585040*x^11 + 550600050*x^10 + 73273200*x^9 + 7432425*x^8 + 514800*x^7 + 45045*x^6 + 1
16
14
10:
445448700075*x^14 + 415752123150*x^13 + 180159238350*x^12 + 48042507240*x^11 + 8807708910*x^10 + 1174473300*x^9 + 117342225*x^8 + 9009000*x^7 + 495495*x^6 + 30030*x^5 + 1
16
14
11:
7127179205490*x^14 + 6652033924200*x^13 + 2882548038825*x^12 + 768679460640*x^11 + 140924603820*x^10 + 18789891120*x^9 + 1879052175*x^8 + 143114400*x^7 + 8378370*x^6 + 360360*x^5 + 15015*x^4 + 1
16
14
12:
114034867286670*x^14 + 106432542801060*x^13 + 46120768546125*x^12 + 12298871615940*x^11 + 2254793120580*x^10 + 300639098760*x^9 + 30063888855*x^8 + 2290602600*x^7 + 133603470*x^6 + 5945940*x^5 + 195195*x^4 + 5460*x^3 + 1
16
14
13:
1824557876586915*x^14 + 1702920684814440*x^13 + 737932296753015*x^12 + 196781945800440*x^11 + 36076690064415*x^10 + 4810225339920*x^9 + 481022536995*x^8 + 36649332720*x^7 + 2137880745*x^6 + 95014920*x^5 + 3168165*x^4 + 76440*x^3 + 1365*x^2 + 1
16
14
14:
29192926025390625*x^14 + 27246730957031250*x^13 + 11806916748046875*x^12 + 3148511132812500*x^11 + 577227041015625*x^10 + 76963605468750*x^9 + 7696360546875*x^8 + 586389375000*x^7 + 34206046875*x^6 + 1520268750*x^5 + 50675625*x^4 + 1228500*x^3 + 20475*x^2 + 210*x + 1
16
15
1:
15*x^15 + 1
16
15
2:
30*x^15 + 225*x^14 + 1
16
15
3:
1845*x^15 + 675*x^14 + 1575*x^13 + 1
16
15
4:
24060*x^15 + 28350*x^14 + 6300*x^13 + 6825*x^12 + 1
16
15
5:
399975*x^15 + 389250*x^14 + 204750*x^13 + 34125*x^12 + 20475*x^11 + 1
16
15
6:
6369570*x^15 + 6388875*x^14 + 2929500*x^13 + 921375*x^12 + 122850*x^11 + 45045*x^10 + 1
16
15
7:
101958165*x^15 + 101932425*x^14 + 47651625*x^13 + 13615875*x^12 + 2886975*x^11 + 315315*x^10 + 75075*x^9 + 1
16
15
8:
1631279160*x^15 + 1631304900*x^14 + 761178600*x^13 + 220106250*x^12 + 43734600*x^11 + 6666660*x^10 + 600600*x^9 + 96525*x^8 + 1
16
15
9:
26100511605*x^15 + 26100492300*x^14 + 12180312900*x^13 + 3518546850*x^12 + 704053350*x^11 + 102882780*x^10 + 11711700*x^9 + 868725*x^8 + 96525*x^7 + 1
16
15
10:
417608155650*x^15 + 417608166375*x^14 + 194883759000*x^13 + 56299902750*x^12 + 11259693900*x^11 + 1651800150*x^10 + 183183000*x^9 + 15926625*x^8 + 965250*x^7 + 75075*x^6 + 1
16
15
11:
6681730505415*x^15 + 6681730501125*x^14 + 3118140923625*x^13 + 900796191750*x^12 + 180159402150*x^11 + 26423126730*x^10 + 2936183250*x^9 + 251447625*x^8 + 16891875*x^7 + 825825*x^6 + 45045*x^5 + 1
16
15
12:
106907688081180*x^15 + 106907688082350*x^14 + 49890254431500*x^13 + 14412740194125*x^12 + 2882547977400*x^11 + 422773811460*x^10 + 46974727800*x^9 + 4026540375*x^8 + 268339500*x^7 + 13963950*x^6 + 540540*x^5 + 20475*x^4 + 1
16
15
13:
1710523009300245*x^15 + 1710523009300050*x^14 + 798244071007950*x^13 + 230603842730625*x^12 + 46120768559775*x^11 + 6764379361740*x^10 + 751597746900*x^9 + 64422618975*x^8 + 4294879875*x^7 + 222672450*x^6 + 8918910*x^5 + 266175*x^4 + 6825*x^3 + 1
16
15
14:
27368368148803710*x^15 + 27368368148803725*x^14 + 12771905136108300*x^13 + 3689661483765075*x^12 + 737932296751650*x^11 + 108230070193245*x^10 + 12025563349800*x^9 + 1030762579275*x^8 + 68717498850*x^7 + 3563134575*x^6 + 142522380*x^5 + 4320225*x^4 + 95550*x^3 + 1575*x^2 + 1
16
15
15:
437893890380859375*x^15 + 437893890380859375*x^14 + 204350482177734375*x^13 + 59034583740234375*x^12 + 11806916748046875*x^11 + 1731681123046875*x^10 + 192409013671875*x^9 + 16492201171875*x^8 + 1099480078125*x^7 + 57010078125*x^6 + 2280403125*x^5 + 69103125*x^4 + 1535625*x^3 + 23625*x^2 + 225*x + 1
16
16
1:
15*x^16 + 1
16
16
2:
15*x^16 + 240*x^15 + 1
16
16
3:
1815*x^16 + 480*x^15 + 1800*x^14 + 1
16
16
4:
22215*x^16 + 29520*x^15 + 5400*x^14 + 8400*x^13 + 1
16
16
5:
375915*x^16 + 384960*x^15 + 226800*x^14 + 33600*x^13 + 27300*x^12 + 1
16
16
6:
5969595*x^16 + 6399600*x^15 + 3114000*x^14 + 1092000*x^13 + 136500*x^12 + 65520*x^11 + 1
16
16
7:
95588595*x^16 + 101913120*x^15 + 51111000*x^14 + 15624000*x^13 + 3685500*x^12 + 393120*x^11 + 120120*x^10 + 1
16
16
8:
1529320995*x^16 + 1631330640*x^15 + 815459400*x^14 + 254142000*x^13 + 54463500*x^12 + 9238320*x^11 + 840840*x^10 + 171600*x^9 + 1
16
16
9:
24469232445*x^16 + 26100466560*x^15 + 13050439200*x^14 + 4059619200*x^13 + 880425000*x^12 + 139950720*x^11 + 17777760*x^10 + 1372800*x^9 + 193050*x^8 + 1
16
16
10:
391507644045*x^16 + 417608185680*x^15 + 208803938400*x^14 + 64961668800*x^13 + 14074187400*x^12 + 2252970720*x^11 + 274354080*x^10 + 26769600*x^9 + 1737450*x^8 + 171600*x^7 + 1
16
16
11:
6264122349765*x^16 + 6681730490400*x^15 + 3340865331000*x^14 + 1039380048000*x^13 + 225199611000*x^12 + 36031020480*x^11 + 4404800400*x^10 + 418704000*x^9 + 31853250*x^8 + 1716000*x^7 + 120120*x^6 + 1
16
16
12:
100225957575765*x^16 + 106907688086640*x^15 + 53453844009000*x^14 + 16630084926000*x^13 + 3603184767000*x^12 + 576510086880*x^11 + 70461671280*x^10 + 6711276000*x^9 + 502895250*x^8 + 30030000*x^7 + 1321320*x^6 + 65520*x^5 + 1
16
16
13:
1603615321219065*x^16 + 1710523009298880*x^15 + 855261504658800*x^14 + 266081356968000*x^13 + 57650960776500*x^12 + 9224153527680*x^11 + 1127396830560*x^10 + 107370806400*x^9 + 8053080750*x^8 + 477048000*x^7 + 22342320*x^6 + 786240*x^5 + 27300*x^4 + 1
16
16
14:
25657845139503465*x^16 + 27368368148803920*x^15 + 13684184074400400*x^14 + 4257301712042400*x^13 + 922415370922500*x^12 + 147586459391280*x^11 + 18038344964640*x^10 + 1717937707200*x^9 + 128845237950*x^8 + 7635342000*x^7 + 356275920*x^6 + 12972960*x^5 + 354900*x^4 + 8400*x^3 + 1
16
16
15:
410525522232055665*x^16 + 437893890380859360*x^15 + 218946945190429800*x^14 + 68116827392577600*x^13 + 14758645935060300*x^12 + 2361383349605280*x^11 + 288613520515320*x^10 + 27487001942400*x^9 + 2061525158550*x^8 + 122164442400*x^7 + 5701015320*x^6 + 207305280*x^5 + 5760300*x^4 + 117600*x^3 + 1800*x^2 + 1
16
16
16:
6568408355712890625*x^16 + 7006302246093750000*x^15 + 3503151123046875000*x^14 + 1089869238281250000*x^13 + 236138334960937500*x^12 + 37782133593750000*x^11 + 4617816328125000*x^10 + 439792031250000*x^9 + 32984402343750*x^8 + 1954631250000*x^7 + 91216125000*x^6 + 3316950000*x^5 + 92137500*x^4 + 1890000*x^3 + 27000*x^2 + 240*x + 1
16
17
1:
15*x^17 + 1
16
17
2:
255*x^16 + 1
16
17
3:
1800*x^17 + 255*x^16 + 2040*x^15 + 1
16
17
4:
20400*x^17 + 30855*x^16 + 4080*x^15 + 10200*x^14 + 1
16
17
5:
353700*x^17 + 377655*x^16 + 250920*x^15 + 30600*x^14 + 35700*x^13 + 1
16
17
6:
5593680*x^17 + 6390555*x^16 + 3272160*x^15 + 1285200*x^14 + 142800*x^13 + 92820*x^12 + 1
16
17
7:
89619000*x^17 + 101483115*x^16 + 54396600*x^15 + 17646000*x^14 + 4641000*x^13 + 464100*x^12 + 185640*x^11 + 1
16
17
8:
1433732400*x^17 + 1625006115*x^16 + 866261520*x^15 + 289629000*x^14 + 66402000*x^13 + 12530700*x^12 + 1113840*x^11 + 291720*x^10 + 1
16
17
9:
22939911450*x^17 + 25998456915*x^16 + 13866310440*x^15 + 4620936600*x^14 + 1080103500*x^13 + 185175900*x^12 + 26175240*x^11 + 2042040*x^10 + 364650*x^9 + 1
16
17
10:
367038411600*x^17 + 415976951565*x^16 + 221853965760*x^15 + 73952488800*x^14 + 17253381600*x^13 + 2993445000*x^12 + 396527040*x^11 + 43174560*x^10 + 2917200*x^9 + 364650*x^8 + 1
16
17
11:
5872614705720*x^17 + 6655629948765*x^16 + 3549669578280*x^15 + 1183222317600*x^14 + 276087092400*x^13 + 47852237160*x^12 + 6383417040*x^11 + 666288480*x^10 + 56885400*x^9 + 3281850*x^8 + 291720*x^7 + 1
16
17
12:
93961835226000*x^17 + 106490079946005*x^16 + 56794709168400*x^15 + 18931570209000*x^14 + 4417365204000*x^13 + 765678677400*x^12 + 102087891360*x^11 + 10697372400*x^10 + 889746000*x^9 + 60167250*x^8 + 2917200*x^7 + 185640*x^6 + 1
16
17
13:
1503389363643300*x^17 + 1703841278788005*x^16 + 908715348736440*x^15 + 302905116051000*x^14 + 70677860935500*x^13 + 12250828207800*x^12 + 1633445246160*x^11 + 171121201680*x^10 + 14261461500*x^9 + 949913250*x^8 + 51051000*x^7 + 2042040*x^6 + 92820*x^5 + 1
16
17
14:
24054229818284400*x^17 + 27261460460724105*x^16 + 14539445579040480*x^15 + 4846481859733200*x^14 + 1130845767114000*x^13 + 196013266640100*x^12 + 26135101661760*x^11 + 2737963731360*x^10 + 228162963600*x^9 + 15211374750*x^8 + 810981600*x^7 + 34529040*x^6 + 1113840*x^5 + 35700*x^4 + 1
16
17
15:
384867677092552200*x^17 + 436183367371558905*x^16 + 232631129264833320*x^15 + 77543709754935600*x^14 + 18093532276180200*x^13 + 3136212261136500*x^12 + 418161634941960*x^11 + 43807409199840*x^10 + 3650617627800*x^9 + 243374338350*x^8 + 12980081400*x^7 + 550608240*x^6 + 18378360*x^5 + 464100*x^4 + 10200*x^3 + 1
16
17
16:
6157882833480834960*x^17 + 6978933877944946305*x^16 + 3722098068237304560*x^15 + 1240699356079102200*x^14 + 289496516418454800*x^13 + 50179396179205020*x^12 + 6690586157214960*x^11 + 700918549822920*x^10 + 58409879127600*x^9 + 3893991966150*x^8 + 207679552080*x^7 + 8810660040*x^6 + 293682480*x^5 + 7532700*x^4 + 142800*x^3 + 2040*x^2 + 1
16
17
17:
98526125335693359375*x^17 + 111662942047119140625*x^16 + 59553569091796875000*x^15 + 19851189697265625000*x^14 + 4631944262695312500*x^13 + 802870338867187500*x^12 + 107049378515625000*x^11 + 11214696796875000*x^10 + 934558066406250*x^9 + 62303871093750*x^8 + 3322873125000*x^7 + 140970375000*x^6 + 4699012500*x^5 + 120487500*x^4 + 2295000*x^3 + 30600*x^2 + 255*x + 1
17
1
1:
16*x + 1
17
2
1:
16*x^2 + 1
17
2
2:
256*x^2 + 32*x + 1
17
3
1:
16*x^3 + 1
17
3
2:
240*x^3 + 48*x^2 + 1
17
3
3:
4096*x^3 + 768*x^2 + 48*x + 1
17
4
1:
16*x^4 + 1
17
4
2:
224*x^4 + 64*x^3 + 1
17
4
3:
3856*x^4 + 960*x^3 + 96*x^2 + 1
17
4
4:
65536*x^4 + 16384*x^3 + 1536*x^2 + 64*x + 1
17
5
1:
16*x^5 + 1
17
5
2:
208*x^5 + 80*x^4 + 1
17
5
3:
3632*x^5 + 1120*x^4 + 160*x^3 + 1
17
5
4:
61680*x^5 + 19280*x^4 + 2400*x^3 + 160*x^2 + 1
17
5
5:
1048576*x^5 + 327680*x^4 + 40960*x^3 + 2560*x^2 + 80*x + 1
17
6
1:
16*x^6 + 1
17
6
2:
192*x^6 + 96*x^5 + 1
17
6
3:
3424*x^6 + 1248*x^5 + 240*x^4 + 1
17
6
4:
58048*x^6 + 21792*x^5 + 3360*x^4 + 320*x^3 + 1
17
6
5:
986896*x^6 + 370080*x^5 + 57840*x^4 + 4800*x^3 + 240*x^2 + 1
17
6
6:
16777216*x^6 + 6291456*x^5 + 983040*x^4 + 81920*x^3 + 3840*x^2 + 96*x + 1
17
7
1:
16*x^7 + 1
17
7
2:
176*x^7 + 112*x^6 + 1
17
7
3:
3232*x^7 + 1344*x^6 + 336*x^5 + 1
17
7
4:
54624*x^7 + 23968*x^6 + 4368*x^5 + 560*x^4 + 1
17
7
5:
928848*x^7 + 406336*x^6 + 76272*x^5 + 7840*x^4 + 560*x^3 + 1
17
7
6:
15790320*x^7 + 6908272*x^6 + 1295280*x^5 + 134960*x^4 + 8400*x^3 + 336*x^2 + 1
17
7
7:
268435456*x^7 + 117440512*x^6 + 22020096*x^5 + 2293760*x^4 + 143360*x^3 + 5376*x^2 + 112*x + 1
17
8
1:
16*x^8 + 1
17
8
2:
160*x^8 + 128*x^7 + 1
17
8
3:
3056*x^8 + 1408*x^7 + 448*x^6 + 1
17
8
4:
51392*x^8 + 25856*x^7 + 5376*x^6 + 896*x^5 + 1
17
8
5:
874224*x^8 + 436992*x^7 + 95872*x^6 + 11648*x^5 + 1120*x^4 + 1
17
8
6:
14861472*x^8 + 7430784*x^7 + 1625344*x^6 + 203392*x^5 + 15680*x^4 + 896*x^3 + 1
17
8
7:
252645136*x^8 + 126322560*x^7 + 27633088*x^6 + 3454080*x^5 + 269920*x^4 + 13440*x^3 + 448*x^2 + 1
17
8
8:
4294967296*x^8 + 2147483648*x^7 + 469762048*x^6 + 58720256*x^5 + 4587520*x^4 + 229376*x^3 + 7168*x^2 + 128*x + 1
17
9
1:
16*x^9 + 1
17
9
2:
144*x^9 + 144*x^8 + 1
17
9
3:
2896*x^9 + 1440*x^8 + 576*x^7 + 1
17
9
4:
48336*x^9 + 27504*x^8 + 6336*x^7 + 1344*x^6 + 1
17
9
5:
822832*x^9 + 462528*x^8 + 116352*x^7 + 16128*x^6 + 2016*x^5 + 1
17
9
6:
13987248*x^9 + 7868016*x^8 + 1966464*x^7 + 287616*x^6 + 26208*x^5 + 2016*x^4 + 1
17
9
7:
237783664*x^9 + 133753248*x^8 + 33438528*x^7 + 4876032*x^6 + 457632*x^5 + 28224*x^4 + 1344*x^3 + 1
17
9
8:
4042322160*x^9 + 2273806224*x^8 + 568451520*x^7 + 82899264*x^6 + 7771680*x^5 + 485856*x^4 + 20160*x^3 + 576*x^2 + 1
17
9
9:
68719476736*x^9 + 38654705664*x^8 + 9663676416*x^7 + 1409286144*x^6 + 132120576*x^5 + 8257536*x^4 + 344064*x^3 + 9216*x^2 + 144*x + 1
17
10
1:
16*x^10 + 1
17
10
2:
128*x^10 + 160*x^9 + 1
17
10
3:
2752*x^10 + 1440*x^9 + 720*x^8 + 1
17
10
4:
45440*x^10 + 28960*x^9 + 7200*x^8 + 1920*x^7 + 1
17
10
5:
774496*x^10 + 483360*x^9 + 137520*x^8 + 21120*x^7 + 3360*x^6 + 1
17
10
6:
13164416*x^10 + 8228320*x^9 + 2312640*x^8 + 387840*x^7 + 40320*x^6 + 4032*x^5 + 1
17
10
7:
223796416*x^10 + 139872480*x^9 + 39340080*x^8 + 6554880*x^7 + 719040*x^6 + 52416*x^5 + 3360*x^4 + 1
17
10
8:
3804538496*x^10 + 2377836640*x^9 + 668766240*x^8 + 111461760*x^7 + 12190080*x^6 + 915264*x^5 + 47040*x^4 + 1920*x^3 + 1
17
10
9:
64677154576*x^10 + 40423221600*x^9 + 11369031120*x^8 + 1894838400*x^7 + 207248160*x^6 + 15543360*x^5 + 809760*x^4 + 28800*x^3 + 720*x^2 + 1
17
10
10:
1099511627776*x^10 + 687194767360*x^9 + 193273528320*x^8 + 32212254720*x^7 + 3523215360*x^6 + 264241152*x^5 + 13762560*x^4 + 491520*x^3 + 11520*x^2 + 160*x + 1
17
11
1:
16*x^11 + 1
17
11
2:
112*x^11 + 176*x^10 + 1
17
11
3:
2624*x^11 + 1408*x^10 + 880*x^9 + 1
17
11
4:
42688*x^11 + 30272*x^10 + 7920*x^9 + 2640*x^8 + 1
17
11
5:
729056*x^11 + 499840*x^10 + 159280*x^9 + 26400*x^8 + 5280*x^7 + 1
17
11
6:
12389920*x^11 + 8519456*x^10 + 2658480*x^9 + 504240*x^8 + 58080*x^7 + 7392*x^6 + 1
17
11
7:
210632000*x^11 + 144808576*x^10 + 45255760*x^9 + 8479680*x^8 + 1066560*x^7 + 88704*x^6 + 7392*x^5 + 1
17
11
8:
3580742080*x^11 + 2461760576*x^10 + 769298640*x^9 + 144246960*x^8 + 18025920*x^7 + 1581888*x^6 + 96096*x^5 + 5280*x^4 + 1
17
11
9:
60872616080*x^11 + 41849923456*x^10 + 13078101520*x^9 + 2452142880*x^8 + 306519840*x^7 + 26818176*x^6 + 1677984*x^5 + 73920*x^4 + 2640*x^3 + 1
17
11
10:
1034834473200*x^11 + 711448700336*x^10 + 222327718800*x^9 + 41686447440*x^8 + 5210805600*x^7 + 455945952*x^6 + 28496160*x^5 + 1272480*x^4 + 39600*x^3 + 880*x^2 + 1
17
11
11:
17592186044416*x^11 + 12094627905536*x^10 + 3779571220480*x^9 + 708669603840*x^8 + 88583700480*x^7 + 7751073792*x^6 + 484442112*x^5 + 21626880*x^4 + 675840*x^3 + 14080*x^2 + 176*x + 1
17
12
1:
16*x^12 + 1
17
12
2:
96*x^12 + 192*x^11 + 1
17
12
3:
2512*x^12 + 1344*x^11 + 1056*x^10 + 1
17
12
4:
40064*x^12 + 31488*x^11 + 8448*x^10 + 3520*x^9 + 1
17
12
5:
686368*x^12 + 512256*x^11 + 181632*x^10 + 31680*x^9 + 7920*x^8 + 1
17
12
6:
11660864*x^12 + 8748672*x^11 + 2999040*x^10 + 637120*x^9 + 79200*x^8 + 12672*x^7 + 1
17
12
7:
198242080*x^12 + 148679040*x^11 + 51116736*x^10 + 10633920*x^9 + 1512720*x^8 + 139392*x^7 + 14784*x^6 + 1
17
12
8:
3370110080*x^12 + 2527584000*x^11 + 868851456*x^10 + 181023040*x^9 + 25439040*x^8 + 2559744*x^7 + 177408*x^6 + 12672*x^5 + 1
17
12
9:
57291874000*x^12 + 42968904960*x^11 + 14770563456*x^10 + 3077194560*x^9 + 432740880*x^8 + 43262208*x^7 + 3163776*x^6 + 164736*x^5 + 7920*x^4 + 1
17
12
10:
973961857120*x^12 + 730471392960*x^11 + 251099540736*x^10 + 52312406080*x^9 + 7356428640*x^8 + 735647616*x^7 + 53636352*x^6 + 2876544*x^5 + 110880*x^4 + 3520*x^3 + 1
17
12
11:
16557351571216*x^12 + 12418013678400*x^11 + 4268692202016*x^10 + 889310875200*x^9 + 125059342320*x^8 + 12505933440*x^7 + 911891904*x^6 + 48850560*x^5 + 1908720*x^4 + 52800*x^3 + 1056*x^2 + 1
17
12
12:
281474976710656*x^12 + 211106232532992*x^11 + 72567767433216*x^10 + 15118284881920*x^9 + 2126008811520*x^8 + 212600881152*x^7 + 15502147584*x^6 + 830472192*x^5 + 32440320*x^4 + 901120*x^3 + 16896*x^2 + 192*x + 1
17
13
1:
16*x^13 + 1
17
13
2:
80*x^13 + 208*x^12 + 1
17
13
3:
2416*x^13 + 1248*x^12 + 1248*x^11 + 1
17
13
4:
37552*x^13 + 32656*x^12 + 8736*x^11 + 4576*x^10 + 1
17
13
5:
646304*x^13 + 520832*x^12 + 204672*x^11 + 36608*x^10 + 11440*x^9 + 1
17
13
6:
10974496*x^13 + 8922784*x^12 + 3329664*x^11 + 787072*x^10 + 102960*x^9 + 20592*x^8 + 1
17
13
7:
186581216*x^13 + 151591232*x^12 + 56866368*x^11 + 12995840*x^10 + 2070640*x^9 + 205920*x^8 + 27456*x^7 + 1
17
13
8:
3171868000*x^13 + 2577147040*x^12 + 966413760*x^11 + 221505856*x^10 + 34560240*x^9 + 3933072*x^8 + 302016*x^7 + 27456*x^6 + 1
17
13
9:
53921763920*x^13 + 43811431040*x^12 + 16429296000*x^11 + 3765022976*x^10 + 588324880*x^9 + 66141504*x^8 + 5546112*x^7 + 329472*x^6 + 20592*x^5 + 1
17
13
10:
916669983120*x^13 + 744794362000*x^12 + 279297882240*x^11 + 64005774976*x^10 + 10000882320*x^9 + 1125126288*x^8 + 93734784*x^7 + 5875584*x^6 + 267696*x^5 + 11440*x^4 + 1
17
13
11:
15583389714096*x^13 + 12661504142560*x^12 + 4748064054240*x^11 + 1088098009856*x^10 + 170015319760*x^9 + 19126714464*x^8 + 1593903168*x^7 + 99610368*x^6 + 4674384*x^5 + 160160*x^4 + 4576*x^3 + 1
17
13
12:
264917625139440*x^13 + 215245570425808*x^12 + 80717088909600*x^11 + 18497666208736*x^10 + 2890260344400*x^9 + 325154290032*x^8 + 27096189120*x^7 + 1693513536*x^6 + 79382160*x^5 + 2757040*x^4 + 68640*x^3 + 1248*x^2 + 1
17
13
13:
4503599627370496*x^13 + 3659174697238528*x^12 + 1372190511464448*x^11 + 314460325543936*x^10 + 49134425866240*x^9 + 5527622909952*x^8 + 460635242496*x^7 + 28789702656*x^6 + 1349517312*x^5 + 46858240*x^4 + 1171456*x^3 + 19968*x^2 + 208*x + 1
17
14
1:
16*x^14 + 1
17
14
2:
64*x^14 + 224*x^13 + 1
17
14
3:
2336*x^14 + 1120*x^13 + 1456*x^12 + 1
17
14
4:
35136*x^14 + 33824*x^13 + 8736*x^12 + 5824*x^11 + 1
17
14
5:
608752*x^14 + 525728*x^13 + 228592*x^12 + 40768*x^11 + 16016*x^10 + 1
17
14
6:
10328192*x^14 + 9048256*x^13 + 3645824*x^12 + 955136*x^11 + 128128*x^10 + 32032*x^9 + 1
17
14
7:
175606720*x^14 + 153642944*x^13 + 62459488*x^12 + 15538432*x^11 + 2754752*x^10 + 288288*x^9 + 48048*x^8 + 1
17
14
8:
2985286784*x^14 + 2612137024*x^13 + 1061138624*x^12 + 265376384*x^11 + 45485440*x^10 + 5797792*x^9 + 480480*x^8 + 54912*x^7 + 1
17
14
9:
50749895920*x^14 + 44406152000*x^13 + 18040029280*x^12 + 4509930880*x^11 + 775270496*x^10 + 96768672*x^9 + 9177168*x^8 + 604032*x^7 + 48048*x^6 + 1
17
14
10:
862748219200*x^14 + 754904694880*x^13 + 306680017280*x^12 + 76670048000*x^11 + 13177580416*x^10 + 1647309664*x^9 + 154330176*x^8 + 11092224*x^7 + 576576*x^6 + 32032*x^5 + 1
17
14
11:
14666719730976*x^14 + 12833379763680*x^13 + 5213560534000*x^12 + 1303390117120*x^11 + 224020212416*x^10 + 28002470496*x^9 + 2625294672*x^8 + 187469568*x^7 + 10282272*x^6 + 416416*x^5 + 16016*x^4 + 1
17
14
12:
249334235425344*x^14 + 218167455997344*x^13 + 88630528997920*x^12 + 22157632253120*x^11 + 3808343034496*x^10 + 476042895328*x^9 + 44629000416*x^8 + 3187806336*x^7 + 174318144*x^6 + 7271264*x^5 + 224224*x^4 + 5824*x^3 + 1
17
14
13:
4238682002231056*x^14 + 3708846751952160*x^13 + 1506718992980656*x^12 + 376679748244800*x^11 + 64741831730576*x^10 + 8092728964320*x^9 + 758693343408*x^8 + 54192378240*x^7 + 2963648688*x^6 + 123483360*x^5 + 3859856*x^4 + 87360*x^3 + 1456*x^2 + 1
17
14
14:
72057594037927936*x^14 + 63050394783186944*x^13 + 25614222880669696*x^12 + 6403555720167424*x^11 + 1100611139403776*x^10 + 137576392425472*x^9 + 12897786789888*x^8 + 921270484992*x^7 + 50381979648*x^6 + 2099249152*x^5 + 65601536*x^4 + 1490944*x^3 + 23296*x^2 + 224*x + 1
17
15
1:
16*x^15 + 1
17
15
2:
48*x^15 + 240*x^14 + 1
17
15
3:
2272*x^15 + 960*x^14 + 1680*x^13 + 1
17
15
4:
32800*x^15 + 35040*x^14 + 8400*x^13 + 7280*x^12 + 1
17
15
5:
573616*x^15 + 527040*x^14 + 253680*x^13 + 43680*x^12 + 21840*x^11 + 1
17
15
6:
9719440*x^15 + 9131280*x^14 + 3942960*x^13 + 1142960*x^12 + 152880*x^11 + 48048*x^10 + 1
17
15
7:
165278528*x^15 + 154922880*x^14 + 67861920*x^13 + 18229120*x^12 + 3581760*x^11 + 384384*x^10 + 80080*x^9 + 1
17
15
8:
2809680064*x^15 + 2634100800*x^14 + 1152322080*x^13 + 312297440*x^12 + 58269120*x^11 + 8264256*x^10 + 720720*x^9 + 102960*x^8 + 1
17
15
9:
47764609136*x^15 + 44779301760*x^14 + 19591027680*x^13 + 5305693120*x^12 + 995161440*x^11 + 136456320*x^10 + 14494480*x^9 + 1029600*x^8 + 102960*x^7 + 1
17
15
10:
811998323280*x^15 + 761248438800*x^14 + 333046140000*x^13 + 90200146400*x^12 + 16912240800*x^11 + 2325811488*x^10 + 241921680*x^9 + 19665360*x^8 + 1132560*x^7 + 80080*x^6 + 1
17
15
11:
13803971511776*x^15 + 12941223288000*x^14 + 5661785211600*x^13 + 1533400086400*x^12 + 287512680000*x^11 + 39532741248*x^10 + 4118274160*x^9 + 330707520*x^8 + 20797920*x^7 + 960960*x^6 + 48048*x^5 + 1
17
15
12:
234667515694368*x^15 + 220000795964640*x^14 + 96250348227600*x^13 + 26067802670000*x^12 + 4887712939200*x^11 + 672060637248*x^10 + 70006176240*x^9 + 5625631440*x^8 + 351505440*x^7 + 17137120*x^6 + 624624*x^5 + 21840*x^4 + 1
17
15
13:
3989347766805712*x^15 + 3740013531380160*x^14 + 1636255919980080*x^13 + 443152644989600*x^12 + 83091120949200*x^11 + 11425029103488*x^10 + 1190107238320*x^9 + 95633572320*x^8 + 5977136880*x^7 + 290530240*x^6 + 10906896*x^5 + 305760*x^4 + 7280*x^3 + 1
17
15
14:
67818912035696880*x^15 + 63580230033465840*x^14 + 27816350639641200*x^13 + 7533594964903280*x^12 + 1412549055918000*x^11 + 194225495191728*x^10 + 20231822410800*x^9 + 1625771450160*x^8 + 101610709200*x^7 + 4939414480*x^6 + 185225040*x^5 + 5263440*x^4 + 109200*x^3 + 1680*x^2 + 1
17
15
15:
1152921504606846976*x^15 + 1080863910568919040*x^14 + 472877960873902080*x^13 + 128071114403348480*x^12 + 24013333950627840*x^11 + 3301833418211328*x^10 + 343940981063680*x^9 + 27638114549760*x^8 + 1727382159360*x^7 + 83969966080*x^6 + 3148873728*x^5 + 89456640*x^4 + 1863680*x^3 + 26880*x^2 + 240*x + 1
17
16
1:
16*x^16 + 1
17
16
2:
32*x^16 + 256*x^15 + 1
17
16
3:
2224*x^16 + 768*x^15 + 1920*x^14 + 1
17
16
4:
30528*x^16 + 36352*x^15 + 7680*x^14 + 8960*x^13 + 1
17
16
5:
540816*x^16 + 524800*x^15 + 280320*x^14 + 44800*x^13 + 29120*x^12 + 1
17
16
6:
9145824*x^16 + 9177856*x^15 + 4216320*x^14 + 1352960*x^13 + 174720*x^12 + 69888*x^11 + 1
17
16
7:
155559088*x^16 + 155511040*x^15 + 73050240*x^14 + 21029120*x^13 + 4571840*x^12 + 489216*x^11 + 128128*x^10 + 1
17
16
8:
2644401536*x^16 + 2644456448*x^15 + 1239383040*x^14 + 361930240*x^13 + 72916480*x^12 + 11461632*x^11 + 1025024*x^10 + 183040*x^9 + 1
17
16
9:
44954929072*x^16 + 44954881024*x^15 + 21072806400*x^14 + 6145717760*x^13 + 1249189760*x^12 + 186461184*x^11 + 22038016*x^10 + 1647360*x^9 + 205920*x^8 + 1
17
16
10:
764233714144*x^16 + 764233746176*x^15 + 358234414080*x^14 + 104485480960*x^13 + 21222772480*x^12 + 3184516608*x^11 + 363883520*x^10 + 33130240*x^9 + 2059200*x^8 + 183040*x^7 + 1
17
16
11:
12991973188496*x^16 + 12991973172480*x^15 + 6089987510400*x^14 + 1776246080000*x^13 + 360800585600*x^12 + 54119170560*x^11 + 6202163968*x^10 + 552963840*x^9 + 39330720*x^8 + 2013440*x^7 + 128128*x^6 + 1
17
16
12:
220863544182592*x^16 + 220863544188416*x^15 + 103529786304000*x^14 + 30196187795200*x^13 + 6133600345600*x^12 + 920040576000*x^11 + 105420643328*x^10 + 9413198080*x^9 + 661415040*x^8 + 36974080*x^7 + 1537536*x^6 + 69888*x^5 + 1
17
16
13:
3754680251111344*x^16 + 3754680251109888*x^15 + 1760006367717120*x^14 + 513335190547200*x^13 + 104271210680000*x^12 + 15640681405440*x^11 + 1792161699328*x^10 + 160014117120*x^9 + 11251262880*x^8 + 624898560*x^7 + 27419392*x^6 + 908544*x^5 + 29120*x^4 + 1
17
16
14:
63829564268891168*x^16 + 63829564268891392*x^15 + 29920108251041280*x^14 + 8726698239893760*x^13 + 1772610579958400*x^12 + 265891587037440*x^11 + 30466744275968*x^10 + 2720245116160*x^9 + 191267144640*x^8 + 10626021120*x^7 + 464848384*x^6 + 15864576*x^5 + 407680*x^4 + 8960*x^3 + 1
17
16
15:
1085102592571150096*x^16 + 1085102592571150080*x^15 + 508641840267726720*x^14 + 148353870078086400*x^13 + 30134379859613120*x^12 + 4520156978937600*x^11 + 517934653844608*x^10 + 46244165510400*x^9 + 3251542900320*x^8 + 180641260800*x^7 + 7903063168*x^6 + 269418240*x^5 + 7017920*x^4 + 134400*x^3 + 1920*x^2 + 1
17
16
16:
18446744073709551616*x^16 + 18446744073709551616*x^15 + 8646911284551352320*x^14 + 2522015791327477760*x^13 + 512284457613393920*x^12 + 76842668642009088*x^11 + 8804889115230208*x^10 + 786150813859840*x^9 + 55276229099520*x^8 + 3070901616640*x^7 + 134351945728*x^6 + 4580179968*x^5 + 119275520*x^4 + 2293760*x^3 + 30720*x^2 + 256*x + 1
17
17
1:
16*x^17 + 1
17
17
2:
16*x^17 + 272*x^16 + 1
17
17
3:
2192*x^17 + 544*x^16 + 2176*x^15 + 1
17
17
4:
28304*x^17 + 37808*x^16 + 6528*x^15 + 10880*x^14 + 1
17
17
5:
510288*x^17 + 518976*x^16 + 308992*x^15 + 43520*x^14 + 38080*x^13 + 1
17
17
6:
8605008*x^17 + 9193872*x^16 + 4460800*x^15 + 1588480*x^14 + 190400*x^13 + 99008*x^12 + 1
17
17
7:
146413264*x^17 + 155479008*x^16 + 78011776*x^15 + 23892480*x^14 + 5750080*x^13 + 594048*x^12 + 198016*x^11 + 1
17
17
8:
2488842448*x^17 + 2644504496*x^16 + 1321843840*x^15 + 413951360*x^14 + 89373760*x^13 + 15544256*x^12 + 1386112*x^11 + 311168*x^10 + 1
17
17
9:
42310527536*x^17 + 44954826112*x^16 + 22477879808*x^15 + 7023170560*x^14 + 1538203520*x^13 + 247916032*x^12 + 32474624*x^11 + 2489344*x^10 + 388960*x^9 + 1
17
17
10:
719278785072*x^17 + 764233794224*x^16 + 382116488704*x^15 + 119412569600*x^14 + 26119300480*x^13 + 4247245184*x^12 + 528306688*x^11 + 53520896*x^10 + 3500640*x^9 + 388960*x^8 + 1
17
17
11:
12227739474352*x^17 + 12991973140448*x^16 + 6495986842496*x^15 + 2029995013120*x^14 + 444063294080*x^13 + 72157426432*x^12 + 9022797056*x^11 + 883717120*x^10 + 70401760*x^9 + 3889600*x^8 + 311168*x^7 + 1
17
17
12:
207871570994096*x^17 + 220863544204432*x^16 + 110431771966080*x^15 + 34509929225600*x^14 + 7549045840000*x^13 + 1226721991040*x^12 + 153337649920*x^11 + 15062398208*x^10 + 1175048160*x^9 + 74291360*x^8 + 3422848*x^7 + 198016*x^6 + 1
17
17
13:
3533816706928752*x^17 + 3754680251104064*x^16 + 1877340125601536*x^15 + 586668789056000*x^14 + 128333798129600*x^13 + 20854241175040*x^12 + 2606781632000*x^11 + 256021562368*x^10 + 20003045920*x^9 + 1249339520*x^8 + 62855936*x^7 + 2376192*x^6 + 99008*x^5 + 1
17
17
14:
60074884017779824*x^17 + 63829564268892848*x^16 + 31914782134434048*x^15 + 9973369417063680*x^14 + 2181674559825600*x^13 + 354522116312000*x^12 + 44315263982080*x^11 + 4352392698368*x^10 + 340029998880*x^9 + 21252385440*x^8 + 1062327552*x^7 + 42375424*x^6 + 1287104*x^5 + 38080*x^4 + 1
17
17
15:
1021273028302258928*x^17 + 1085102592571149856*x^16 + 542551296285576832*x^15 + 169547280089233920*x^14 + 37088467519548480*x^13 + 6026875971858560*x^12 + 753359496606080*x^11 + 73990664670208*x^10 + 5780520871840*x^9 + 361282384320*x^8 + 18064235904*x^7 + 718402048*x^6 + 22474816*x^5 + 533120*x^4 + 10880*x^3 + 1
17
17
16:
17361641481138401520*x^17 + 18446744073709551632*x^16 + 9223372036854775680*x^15 + 2882303761517118080*x^14 + 630503947831867200*x^13 + 102456891522684608*x^12 + 12807111440323200*x^11 + 1257841302194048*x^10 + 98268851709600*x^9 + 6141803256160*x^8 + 307090143360*x^7 + 12213824896*x^6 + 381675840*x^5 + 9177280*x^4 + 163200*x^3 + 2176*x^2 + 1
17
17
17:
295147905179352825856*x^17 + 313594649253062377472*x^16 + 156797324626531188736*x^15 + 48999163945790996480*x^14 + 10718567113141780480*x^13 + 1741767155885539328*x^12 + 217720894485692416*x^11 + 21383302136987648*x^10 + 1670570479452160*x^9 + 104410654965760*x^8 + 5220532748288*x^7 + 207634825216*x^6 + 6488588288*x^5 + 155975680*x^4 + 2785280*x^3 + 34816*x^2 + 272*x + 1
17
18
1:
16*x^18 + 1
17
18
2:
288*x^17 + 1
17
18
3:
2176*x^18 + 288*x^17 + 2448*x^16 + 1
17
18
4:
26112*x^18 + 39456*x^17 + 4896*x^16 + 13056*x^15 + 1
17
18
5:
481984*x^18 + 509472*x^17 + 340272*x^16 + 39168*x^15 + 48960*x^14 + 1
17
18
6:
8094720*x^18 + 9185184*x^17 + 4670784*x^16 + 1853952*x^15 + 195840*x^14 + 137088*x^13 + 1
17
18
7:
137808256*x^18 + 154890144*x^17 + 82744848*x^16 + 26764800*x^15 + 7148160*x^14 + 685440*x^13 + 297024*x^12 + 1
17
18
8:
2342429184*x^18 + 2635438752*x^17 + 1399311072*x^16 + 468070656*x^15 + 107516160*x^14 + 20700288*x^13 + 1782144*x^12 + 509184*x^11 + 1
17
18
9:
39821685088*x^18 + 44799164064*x^17 + 23800540464*x^16 + 7931063040*x^15 + 1862781120*x^14 + 321745536*x^13 + 46632768*x^12 + 3564288*x^11 + 700128*x^10 + 1
17
18
10:
676968257536*x^18 + 761589495648*x^17 + 404593435008*x^16 + 134867278848*x^15 + 31604267520*x^14 + 5537532672*x^13 + 743748096*x^12 + 83506176*x^11 + 5601024*x^10 + 777920*x^9 + 1
17
18
11:
11508460689280*x^18 + 12947018131296*x^17 + 6878104148016*x^16 + 2292698932224*x^15 + 537356563200*x^14 + 94029481728*x^13 + 12741735552*x^12 + 1358502912*x^11 + 120422016*x^10 + 7001280*x^9 + 700128*x^8 + 1
17
18
12:
195643831519744*x^18 + 220099310538336*x^17 + 116927758264032*x^16 + 38975921054976*x^15 + 9134977559040*x^14 + 1598627858688*x^13 + 216472279296*x^12 + 23201478144*x^11 + 1988363520*x^10 + 140803520*x^9 + 7001280*x^8 + 509184*x^7 + 1
17
18
13:
3325945135934656*x^18 + 3741688277893728*x^17 + 1987771897839888*x^16 + 662590631796480*x^15 + 155294681515200*x^14 + 27176565024000*x^13 + 3680165973120*x^12 + 394296814080*x^11 + 33890395968*x^10 + 2350096320*x^9 + 133724448*x^8 + 5601024*x^7 + 297024*x^6 + 1
17
18
14:
56541067310851072*x^18 + 63608700724717536*x^17 + 33792122259936576*x^16 + 11264040753609216*x^15 + 2640009550752000*x^14 + 462001673266560*x^13 + 62562723525120*x^12 + 6703152768000*x^11 + 576048515328*x^10 + 40006091840*x^9 + 2248811136*x^8 + 102855168*x^7 + 3564288*x^6 + 137088*x^5 + 1
17
18
15:
961198144284479104*x^18 + 1081347912320036832*x^17 + 574466078420035632*x^16 + 191488692806604288*x^15 + 44880162376786560*x^14 + 7854028415372160*x^13 + 1063566348936000*x^12 + 113953535953920*x^11 + 9792883571328*x^10 + 680059997760*x^9 + 38254293792*x^8 + 1738354176*x^7 + 63563136*x^6 + 1782144*x^5 + 48960*x^4 + 1
17
18
16:
16340368452836142592*x^18 + 18382914509440660704*x^17 + 9765923333140348704*x^16 + 3255307777713460992*x^15 + 762962760401552640*x^14 + 133518483070374528*x^13 + 18080627915575680*x^12 + 1937210134129920*x^11 + 166478995507968*x^10 + 11561041743680*x^9 + 650308291776*x^8 + 29559658752*x^7 + 1077603072*x^6 + 31118976*x^5 + 685440*x^4 + 13056*x^3 + 1
17
18
17:
277786263698214424336*x^18 + 312509546660491227360*x^17 + 166020696663385964688*x^16 + 55340232221128654080*x^15 + 12970366926827031360*x^14 + 2269814212194721920*x^13 + 307370674568053824*x^12 + 32932572275116800*x^11 + 2830142929936608*x^10 + 196537703419200*x^9 + 11055245861088*x^8 + 502511143680*x^7 + 18320737344*x^6 + 528474240*x^5 + 11799360*x^4 + 195840*x^3 + 2448*x^2 + 1
17
18
18:
4722366482869645213696*x^18 + 5312662293228350865408*x^17 + 2822351843277561397248*x^16 + 940783947759187132416*x^15 + 220496237756059484160*x^14 + 38586841607310409728*x^13 + 5225301467656617984*x^12 + 559853728677494784*x^11 + 48112429808222208*x^10 + 3341140958904320*x^9 + 187939178938368*x^8 + 8542689951744*x^7 + 311452237824*x^6 + 8984199168*x^5 + 200540160*x^4 + 3342336*x^3 + 39168*x^2 + 288*x + 1
19
1
1:
18*x + 1
19
2
1:
18*x^2 + 1
19
2
2:
324*x^2 + 36*x + 1
19
3
1:
18*x^3 + 1
19
3
2:
306*x^3 + 54*x^2 + 1
19
3
3:
5832*x^3 + 972*x^2 + 54*x + 1
19
4
1:
18*x^4 + 1
19
4
2:
288*x^4 + 72*x^3 + 1
19
4
3:
5526*x^4 + 1224*x^3 + 108*x^2 + 1
19
4
4:
104976*x^4 + 23328*x^3 + 1944*x^2 + 72*x + 1
19
5
1:
18*x^5 + 1
19
5
2:
270*x^5 + 90*x^4 + 1
19
5
3:
5238*x^5 + 1440*x^4 + 180*x^3 + 1
19
5
4:
99450*x^5 + 27630*x^4 + 3060*x^3 + 180*x^2 + 1
19
5
5:
1889568*x^5 + 524880*x^4 + 58320*x^3 + 3240*x^2 + 90*x + 1
19
6
1:
18*x^6 + 1
19
6
2:
252*x^6 + 108*x^5 + 1
19
6
3:
4968*x^6 + 1620*x^5 + 270*x^4 + 1
19
6
4:
94212*x^6 + 31428*x^5 + 4320*x^4 + 360*x^3 + 1
19
6
5:
1790118*x^6 + 596700*x^5 + 82890*x^4 + 6120*x^3 + 270*x^2 + 1
19
6
6:
34012224*x^6 + 11337408*x^5 + 1574640*x^4 + 116640*x^3 + 4860*x^2 + 108*x + 1
19
7
1:
18*x^7 + 1
19
7
2:
234*x^7 + 126*x^6 + 1
19
7
3:
4716*x^7 + 1764*x^6 + 378*x^5 + 1
19
7
4:
89244*x^7 + 34776*x^6 + 5670*x^5 + 630*x^4 + 1
19
7
5:
1695906*x^7 + 659484*x^6 + 109998*x^5 + 10080*x^4 + 630*x^3 + 1
19
7
6:
32222106*x^7 + 12530826*x^6 + 2088450*x^5 + 193410*x^4 + 10710*x^3 + 378*x^2 + 1
19
7
7:
612220032*x^7 + 238085568*x^6 + 39680928*x^5 + 3674160*x^4 + 204120*x^3 + 6804*x^2 + 126*x + 1
19
8
1:
18*x^8 + 1
19
8
2:
216*x^8 + 144*x^7 + 1
19
8
3:
4482*x^8 + 1872*x^7 + 504*x^6 + 1
19
8
4:
84528*x^8 + 37728*x^7 + 7056*x^6 + 1008*x^5 + 1
19
8
5:
1606662*x^8 + 713952*x^7 + 139104*x^6 + 15120*x^5 + 1260*x^4 + 1
19
8
6:
30526200*x^8 + 13567248*x^7 + 2637936*x^6 + 293328*x^5 + 20160*x^4 + 1008*x^3 + 1
19
8
7:
579997926*x^8 + 257776848*x^7 + 50123304*x^6 + 5569200*x^5 + 386820*x^4 + 17136*x^3 + 504*x^2 + 1
19
8
8:
11019960576*x^8 + 4897760256*x^7 + 952342272*x^6 + 105815808*x^5 + 7348320*x^4 + 326592*x^3 + 9072*x^2 + 144*x + 1
19
9
1:
18*x^9 + 1
19
9
2:
198*x^9 + 162*x^8 + 1
19
9
3:
4266*x^9 + 1944*x^8 + 648*x^7 + 1
19
9
4:
80046*x^9 + 40338*x^8 + 8424*x^7 + 1512*x^6 + 1
19
9
5:
1522134*x^9 + 760752*x^8 + 169776*x^7 + 21168*x^6 + 2268*x^5 + 1
19
9
6:
28919538*x^9 + 14459958*x^8 + 3212784*x^7 + 417312*x^6 + 34020*x^5 + 2268*x^4 + 1
19
9
7:
549471726*x^9 + 274735800*x^8 + 61052616*x^7 + 7913808*x^6 + 659988*x^5 + 36288*x^4 + 1512*x^3 + 1
19
9
8:
10439962650*x^9 + 5219981334*x^8 + 1159995816*x^7 + 150369912*x^6 + 12530700*x^5 + 696276*x^4 + 25704*x^3 + 648*x^2 + 1
19
9
9:
198359290368*x^9 + 99179645184*x^8 + 22039921152*x^7 + 2857026816*x^6 + 238085568*x^5 + 13226976*x^4 + 489888*x^3 + 11664*x^2 + 162*x + 1
19
10
1:
18*x^10 + 1
19
10
2:
180*x^10 + 180*x^9 + 1
19
10
3:
4068*x^10 + 1980*x^9 + 810*x^8 + 1
19
10
4:
75780*x^10 + 42660*x^9 + 9720*x^8 + 2160*x^7 + 1
19
10
5:
1442088*x^10 + 800460*x^9 + 201690*x^8 + 28080*x^7 + 3780*x^6 + 1
19
10
6:
27397404*x^10 + 15221340*x^9 + 3803760*x^8 + 565920*x^7 + 52920*x^6 + 4536*x^5 + 1
19
10
7:
520552188*x^10 + 289195380*x^9 + 72299790*x^8 + 10709280*x^7 + 1043280*x^6 + 68040*x^5 + 3780*x^4 + 1
19
10
8:
9890490924*x^10 + 5494717260*x^9 + 1373679000*x^8 + 203508720*x^7 + 19784520*x^6 + 1319976*x^5 + 60480*x^4 + 2160*x^3 + 1
19
10
9:
187919327718*x^10 + 104399626500*x^9 + 26099906670*x^8 + 3866652720*x^7 + 375924780*x^6 + 25061400*x^5 + 1160460*x^4 + 36720*x^3 + 810*x^2 + 1
19
10
10:
3570467226624*x^10 + 1983592903680*x^9 + 495898225920*x^8 + 73466403840*x^7 + 7142567040*x^6 + 476171136*x^5 + 22044960*x^4 + 699840*x^3 + 14580*x^2 + 180*x + 1
19
11
1:
18*x^11 + 1
19
11
2:
162*x^11 + 198*x^10 + 1
19
11
3:
3888*x^11 + 1980*x^10 + 990*x^9 + 1
19
11
4:
71712*x^11 + 44748*x^10 + 10890*x^9 + 2970*x^8 + 1
19
11
5:
1366308*x^11 + 833580*x^10 + 234630*x^9 + 35640*x^8 + 5940*x^7 + 1
19
11
6:
25955316*x^11 + 15862968*x^10 + 4402530*x^9 + 739530*x^8 + 77220*x^7 + 8316*x^6 + 1
19
11
7:
493154784*x^11 + 301371444*x^10 + 83717370*x^9 + 13947120*x^8 + 1556280*x^7 + 116424*x^6 + 8316*x^5 + 1
19
11
8:
9369938736*x^11 + 5726074068*x^10 + 1590574590*x^9 + 265099230*x^8 + 29450520*x^7 + 2295216*x^6 + 124740*x^5 + 5940*x^4 + 1
19
11
9:
178028836794*x^11 + 108795400164*x^10 + 30220944930*x^9 + 5036823000*x^8 + 559648980*x^7 + 43525944*x^6 + 2419956*x^5 + 95040*x^4 + 2970*x^3 + 1
19
11
10:
3382547898906*x^11 + 2067112604898*x^10 + 574197945750*x^9 + 95699657790*x^8 + 10633294980*x^7 + 827034516*x^6 + 45945900*x^5 + 1823580*x^4 + 50490*x^3 + 990*x^2 + 1
19
11
11:
64268410079232*x^11 + 39275139492864*x^10 + 10909760970240*x^9 + 1818293495040*x^8 + 202032610560*x^7 + 15713647488*x^6 + 872980416*x^5 + 34642080*x^4 + 962280*x^3 + 17820*x^2 + 198*x + 1
19
12
1:
18*x^12 + 1
19
12
2:
144*x^12 + 216*x^11 + 1
19
12
3:
3726*x^12 + 1944*x^11 + 1188*x^10 + 1
19
12
4:
67824*x^12 + 46656*x^11 + 11880*x^10 + 3960*x^9 + 1
19
12
5:
1294596*x^12 + 860544*x^11 + 268488*x^10 + 43560*x^9 + 8910*x^8 + 1
19
12
6:
24589008*x^12 + 16395696*x^11 + 5001480*x^10 + 938520*x^9 + 106920*x^8 + 14256*x^7 + 1
19
12
7:
467199468*x^12 + 311463792*x^11 + 95177808*x^10 + 17610120*x^9 + 2218590*x^8 + 185328*x^7 + 16632*x^6 + 1
19
12
8:
8876783952*x^12 + 5917857408*x^11 + 1808228664*x^10 + 334869480*x^9 + 41841360*x^8 + 3735072*x^7 + 232848*x^6 + 14256*x^5 + 1
19
12
9:
168658898058*x^12 + 112439264832*x^11 + 34356444408*x^10 + 6362298360*x^9 + 795297690*x^8 + 70681248*x^7 + 4590432*x^6 + 213840*x^5 + 8910*x^4 + 1
19
12
10:
3204519062112*x^12 + 2136346041528*x^11 + 652772400984*x^10 + 120883779720*x^9 + 15110469000*x^8 + 1343157552*x^7 + 87051888*x^6 + 4148496*x^5 + 142560*x^4 + 3960*x^3 + 1
19
12
11:
60885862180326*x^12 + 40590574786872*x^11 + 12402675629388*x^10 + 2296791783000*x^9 + 287098973370*x^8 + 25519907952*x^7 + 1654069032*x^6 + 78764400*x^5 + 2735370*x^4 + 67320*x^3 + 1188*x^2 + 1
19
12
12:
1156831381426176*x^12 + 771220920950784*x^11 + 235650836957184*x^10 + 43639043880960*x^9 + 5454880485120*x^8 + 484878265344*x^7 + 31427294976*x^6 + 1496537856*x^5 + 51963120*x^4 + 1283040*x^3 + 21384*x^2 + 216*x + 1
19
13
1:
18*x^13 + 1
19
13
2:
126*x^13 + 234*x^12 + 1
19
13
3:
3582*x^13 + 1872*x^12 + 1404*x^11 + 1
19
13
4:
64098*x^13 + 48438*x^12 + 12636*x^11 + 5148*x^10 + 1
19
13
5:
1226772*x^13 + 881712*x^12 + 303264*x^11 + 51480*x^10 + 12870*x^9 + 1
19
13
6:
23294412*x^13 + 16829748*x^12 + 5593536*x^11 + 1163448*x^10 + 141570*x^9 + 23166*x^8 + 1
19
13
7:
442610460*x^13 + 319657104*x^12 + 106572024*x^11 + 21673080*x^10 + 3050190*x^9 + 277992*x^8 + 30888*x^7 + 1
19
13
8:
8409584484*x^13 + 6073593084*x^12 + 2024514648*x^11 + 412437168*x^10 + 57232890*x^9 + 5768334*x^8 + 401544*x^7 + 30888*x^6 + 1
19
13
9:
159782114106*x^13 + 115398191376*x^12 + 38466073152*x^11 + 7835657544*x^10 + 1088325810*x^9 + 108787536*x^8 + 8092656*x^7 + 432432*x^6 + 23166*x^5 + 1
19
13
10:
3035860164054*x^13 + 2192565674754*x^12 + 730855221408*x^11 + 148877925768*x^10 + 20677469670*x^9 + 2067773994*x^8 + 153142704*x^7 + 8525088*x^6 + 347490*x^5 + 12870*x^4 + 1
19
13
11:
57681343118214*x^13 + 41658747807456*x^12 + 13886249269932*x^11 + 2828680404264*x^10 + 392872284090*x^9 + 39287219400*x^8 + 2910174696*x^7 + 161667792*x^6 + 6741306*x^5 + 205920*x^4 + 5148*x^3 + 1
19
13
12:
1095945519245850*x^13 + 791516208344238*x^12 + 263838736114668*x^11 + 53744927727348*x^10 + 7464573294750*x^9 + 746457330762*x^8 + 55293133896*x^7 + 3071842488*x^6 + 127992150*x^5 + 3951090*x^4 + 87516*x^3 + 1404*x^2 + 1
19
13
13:
20822964865671168*x^13 + 15038807958540288*x^12 + 5012935986180096*x^11 + 1021153626814464*x^10 + 141826892613120*x^9 + 14182689261312*x^8 + 1050569574912*x^7 + 58364976384*x^6 + 2431874016*x^5 + 75057840*x^4 + 1667952*x^3 + 25272*x^2 + 234*x + 1
19
14
1:
18*x^14 + 1
19
14
2:
108*x^14 + 252*x^13 + 1
19
14
3:
3456*x^14 + 1764*x^13 + 1638*x^12 + 1
19
14
4:
60516*x^14 + 50148*x^13 + 13104*x^12 + 6552*x^11 + 1
19
14
5:
1162674*x^14 + 897372*x^13 + 339066*x^12 + 58968*x^11 + 18018*x^10 + 1
19
14
6:
22067640*x^14 + 17174808*x^13 + 6171984*x^12 + 1415232*x^11 + 180180*x^10 + 36036*x^9 + 1
19
14
7:
419316048*x^14 + 326121768*x^13 + 117808236*x^12 + 26103168*x^11 + 4072068*x^10 + 396396*x^9 + 54054*x^8 + 1
19
14
8:
7966974024*x^14 + 6196546440*x^13 + 2237599728*x^12 + 497336112*x^11 + 75855780*x^10 + 8540532*x^9 + 648648*x^8 + 61776*x^7 + 1
19
14
9:
151372529622*x^14 + 117734182776*x^13 + 42515151588*x^12 + 9447735024*x^11 + 1443530088*x^10 + 160252092*x^9 + 13459446*x^8 + 803088*x^7 + 54054*x^6 + 1
19
14
10:
2876078049948*x^14 + 2236949597484*x^13 + 807787339632*x^12 + 179508341376*x^11 + 27424801404*x^10 + 3047312268*x^9 + 253837584*x^8 + 16185312*x^7 + 756756*x^6 + 36036*x^5 + 1
19
14
11:
54645482954160*x^14 + 42502042296756*x^13 + 15347959723278*x^12 + 3410657699904*x^11 + 521072740188*x^10 + 57896915076*x^9 + 4824805986*x^8 + 306285408*x^7 + 14918904*x^6 + 540540*x^5 + 18018*x^4 + 1
19
14
12:
1038264176127636*x^14 + 807538803654996*x^13 + 291611234652192*x^12 + 64802496593016*x^11 + 9900381414924*x^10 + 1100042395452*x^9 + 91670178600*x^8 + 5820349392*x^7 + 282918636*x^6 + 10486476*x^5 + 288288*x^4 + 6552*x^3 + 1
19
14
13:
19727019346425318*x^14 + 15343237269441900*x^13 + 5540613458409666*x^12 + 1231247435201784*x^11 + 188107247045718*x^10 + 20900805225300*x^9 + 1741733771778*x^8 + 110586267792*x^7 + 5375724354*x^6 + 199098900*x^5 + 5531526*x^4 + 111384*x^3 + 1638*x^2 + 1
19
14
14:
374813367582081024*x^14 + 291521508119396352*x^13 + 105271655709782016*x^12 + 23393701268840448*x^11 + 3574037693850624*x^10 + 397115299316736*x^9 + 33092941609728*x^8 + 2101139149824*x^7 + 102138708672*x^6 + 3782915136*x^5 + 105080976*x^4 + 2122848*x^3 + 29484*x^2 + 252*x + 1
19
15
1:
18*x^15 + 1
19
15
2:
90*x^15 + 270*x^14 + 1
19
15
3:
3348*x^15 + 1620*x^14 + 1890*x^13 + 1
19
15
4:
57060*x^15 + 51840*x^14 + 13230*x^13 + 8190*x^12 + 1
19
15
5:
1102158*x^15 + 907740*x^14 + 376110*x^13 + 65520*x^12 + 24570*x^11 + 1
19
15
6:
20904966*x^15 + 17440110*x^14 + 6730290*x^13 + 1695330*x^12 + 221130*x^11 + 54054*x^10 + 1
19
15
7:
397248408*x^15 + 331014600*x^14 + 128811060*x^13 + 30859920*x^12 + 5307120*x^11 + 540540*x^10 + 90090*x^9 + 1
19
15
8:
7547657976*x^15 + 6289740720*x^14 + 2445913260*x^13 + 589041180*x^12 + 97886880*x^11 + 12216204*x^10 + 990990*x^9 + 115830*x^8 + 1
19
15
9:
143405555598*x^15 + 119504610360*x^14 + 46474098300*x^13 + 11187998640*x^12 + 1865010420*x^11 + 227567340*x^10 + 21351330*x^9 + 1389960*x^8 + 115830*x^7 + 1
19
15
10:
2724705520326*x^15 + 2270587944330*x^14 + 883006370820*x^13 + 212575757940*x^12 + 35429006340*x^11 + 4330590264*x^10 + 400630230*x^9 + 28841670*x^8 + 1505790*x^7 + 90090*x^6 + 1
19
15
11:
51769404904212*x^15 + 43141170749220*x^14 + 16777121981130*x^13 + 4038936698160*x^12 + 673156280160*x^11 + 82274404212*x^10 + 7618280670*x^9 + 543937680*x^8 + 30347460*x^7 + 1261260*x^6 + 54054*x^5 + 1
19
15
12:
983618693173476*x^15 + 819682244312400*x^14 + 318765317225670*x^13 + 76739798616390*x^12 + 12789966374640*x^11 + 1563218220564*x^10 + 144742287690*x^9 + 10338869970*x^8 + 574285140*x^7 + 24864840*x^6 + 810810*x^5 + 24570*x^4 + 1
19
15
13:
18688755170297682*x^15 + 15573962641914540*x^14 + 6056541027412470*x^13 + 1458056173260960*x^12 + 243009362223810*x^11 + 29701144244772*x^10 + 2750105988630*x^9 + 196436097000*x^8 + 10913155110*x^7 + 471531060*x^6 + 15729714*x^5 + 393120*x^4 + 8190*x^3 + 1
19
15
14:
355086348235655706*x^15 + 295905290196379770*x^14 + 115074279520814250*x^13 + 27703067292048330*x^12 + 4617177882006690*x^11 + 564321741137154*x^10 + 52252013063250*x^9 + 3732286653810*x^8 + 207349252110*x^7 + 8959540590*x^6 + 298648350*x^5 + 7542990*x^4 + 139230*x^3 + 1890*x^2 + 1
19
15
15:
6746640616477458432*x^15 + 5622200513731215360*x^14 + 2186411310895472640*x^13 + 526358278548910080*x^12 + 87726379758151680*x^11 + 10722113081551872*x^10 + 992788248291840*x^9 + 70913446306560*x^8 + 3939635905920*x^7 + 170231181120*x^6 + 5674372704*x^5 + 143292240*x^4 + 2653560*x^3 + 34020*x^2 + 270*x + 1
19
16
1:
18*x^16 + 1
19
16
2:
72*x^16 + 288*x^15 + 1
19
16
3:
3258*x^16 + 1440*x^15 + 2160*x^14 + 1
19
16
4:
53712*x^16 + 53568*x^15 + 12960*x^14 + 10080*x^13 + 1
19
16
5:
1045098*x^16 + 912960*x^15 + 414720*x^14 + 70560*x^13 + 32760*x^12 + 1
19
16
6:
19802808*x^16 + 17634528*x^15 + 7261920*x^14 + 2005920*x^13 + 262080*x^12 + 78624*x^11 + 1
19
16
7:
376343442*x^16 + 334479456*x^15 + 139520880*x^14 + 35894880*x^13 + 6781320*x^12 + 707616*x^11 + 144144*x^10 + 1
19
16
8:
7150409568*x^16 + 6355974528*x^15 + 2648116800*x^14 + 686992320*x^13 + 123439680*x^12 + 16982784*x^11 + 1441440*x^10 + 205920*x^9 + 1
19
16
9:
135857897622*x^16 + 120762527616*x^15 + 50317925760*x^14 + 13044870720*x^13 + 2356164720*x^12 + 313238016*x^11 + 32576544*x^10 + 2265120*x^9 + 231660*x^8 + 1
19
16
10:
2581299964728*x^16 + 2294488889568*x^15 + 956036882880*x^14 + 247861857600*x^13 + 44751994560*x^12 + 5968033344*x^11 + 606846240*x^10 + 48803040*x^9 + 2779920*x^8 + 205920*x^7 + 1
19
16
11:
49044699383886*x^16 + 43595288325216*x^15 + 18164703554640*x^14 + 4709367311040*x^13 + 850303031760*x^12 + 113372820288*x^11 + 11548240704*x^10 + 915726240*x^9 + 57683340*x^8 + 2676960*x^7 + 144144*x^6 + 1
19
16
12:
931849288269264*x^16 + 828310478467392*x^15 + 345129365993760*x^14 + 89477983899360*x^13 + 16155746792640*x^12 + 2154100096512*x^11 + 219398411232*x^10 + 17413212960*x^9 + 1087875360*x^8 + 53951040*x^7 + 2018016*x^6 + 78624*x^5 + 1
19
16
13:
17705136477124206*x^16 + 15737899090775616*x^15 + 6557457954499200*x^14 + 1700081691870240*x^13 + 306959194465560*x^12 + 40927892398848*x^11 + 4168581921504*x^10 + 330839514720*x^9 + 20677739940*x^8 + 1020951360*x^7 + 39783744*x^6 + 1179360*x^5 + 32760*x^4 + 1
19
16
14:
336397593065358024*x^16 + 299020082724762912*x^15 + 124591701135316320*x^14 + 32301552146199840*x^13 + 5832224693043840*x^12 + 777629959116192*x^11 + 79203051319392*x^10 + 6285956545440*x^9 + 392872194000*x^8 + 19401164640*x^7 + 754449696*x^6 + 22879584*x^5 + 524160*x^4 + 10080*x^3 + 1
19
16
15:
6391554268241802726*x^16 + 5681381571770491296*x^15 + 2367242321571038160*x^14 + 613729490777676000*x^13 + 110812269168193320*x^12 + 14774969222421408*x^11 + 1504857976365744*x^10 + 119433172716000*x^9 + 7464573307620*x^8 + 368620892640*x^7 + 14335264944*x^6 + 434397600*x^5 + 10057320*x^4 + 171360*x^3 + 2160*x^2 + 1
19
16
16:
121439531096594251776*x^16 + 107946249863639334912*x^15 + 44977604109849722880*x^14 + 11660860324775854080*x^13 + 2105433114195640320*x^12 + 280724415226085376*x^11 + 28592301550804992*x^10 + 2269230281809920*x^9 + 141826892613120*x^8 + 7003797166080*x^7 + 272369889792*x^6 + 8253633024*x^5 + 191056320*x^4 + 3265920*x^3 + 38880*x^2 + 288*x + 1
19
17
1:
18*x^17 + 1
19
17
2:
54*x^17 + 306*x^16 + 1
19
17
3:
3186*x^17 + 1224*x^16 + 2448*x^15 + 1
19
17
4:
50454*x^17 + 55386*x^16 + 12240*x^15 + 12240*x^14 + 1
19
17
5:
991386*x^17 + 913104*x^16 + 455328*x^15 + 73440*x^14 + 42840*x^13 + 1
19
17
6:
18757710*x^17 + 17766666*x^16 + 7760160*x^15 + 2350080*x^14 + 299880*x^13 + 111384*x^12 + 1
19
17
7:
356540634*x^17 + 336647736*x^16 + 149893488*x^15 + 41150880*x^14 + 8525160*x^13 + 891072*x^12 + 222768*x^11 + 1
19
17
8:
6774066126*x^17 + 6397838514*x^16 + 2843075376*x^15 + 790618320*x^14 + 152553240*x^13 + 23056488*x^12 + 2004912*x^11 + 350064*x^10 + 1
19
17
9:
128707488054*x^17 + 121556962656*x^16 + 54025783488*x^15 + 15005995200*x^14 + 2919717360*x^13 + 419694912*x^12 + 48117888*x^11 + 3500640*x^10 + 437580*x^9 + 1
19
17
10:
2445442067106*x^17 + 2309584259574*x^16 + 1026481484736*x^15 + 285134912640*x^14 + 55440700560*x^13 + 8010960048*x^12 + 887507712*x^11 + 79114464*x^10 + 4813380*x^9 + 437580*x^8 + 1
19
17
11:
46463399419158*x^17 + 43882099400376*x^16 + 19503155561328*x^15 + 5417542336320*x^14 + 1053412894800*x^13 + 152156781504*x^12 + 16909427808*x^11 + 1473769440*x^10 + 103706460*x^9 + 5250960*x^8 + 350064*x^7 + 1
19
17
12:
882804588885378*x^17 + 833759889526062*x^16 + 370559950764336*x^15 + 102933320142960*x^14 + 20014811071920*x^13 + 2891030307984*x^12 + 321222990816*x^11 + 28045727424*x^10 + 1945918260*x^9 + 108957420*x^8 + 4550832*x^7 + 222768*x^6 + 1
19
17
13:
16773287188854942*x^17 + 15841437900577488*x^16 + 7040639066972832*x^15 + 1955733073964640*x^14 + 380281431572280*x^13 + 54929539094976*x^12 + 6103283606784*x^11 + 532824712992*x^10 + 37003077540*x^9 + 2054875680*x^8 + 91716768*x^7 + 3118752*x^6 + 111384*x^5 + 1
19
17
14:
318692456588233818*x^17 + 300987320111111502*x^16 + 133772142271592736*x^15 + 37158928408828800*x^14 + 7225347190448520*x^13 + 1043661261182904*x^12 + 115962361796736*x^11 + 10123698952224*x^10 + 703033968780*x^9 + 39057953220*x^8 + 1735617312*x^7 + 61483968*x^6 + 1670760*x^5 + 42840*x^4 + 1
19
17
15:
6055156675176444702*x^17 + 5718759082111086408*x^16 + 2541670703160484752*x^15 + 706019639766792480*x^14 + 137281596621349320*x^13 + 19829563956349056*x^12 + 2203284884162544*x^11 + 192350267489952*x^10 + 13357657659060*x^9 + 742091922000*x^8 + 32981979888*x^7 + 1165967712*x^6 + 32412744*x^5 + 685440*x^4 + 12240*x^3 + 1
19
17
16:
115047976828352449050*x^17 + 108656422560110646342*x^16 + 48291743360049176016*x^15 + 13414373155569216240*x^14 + 2608350335805123000*x^13 + 376761715171857288*x^12 + 41862412796860656*x^11 + 3654655085459664*x^10 + 253795492021500*x^9 + 14099749581060*x^8 + 626655517488*x^7 + 22154500368*x^6 + 615396600*x^5 + 13151880*x^4 + 208080*x^3 + 2448*x^2 + 1
19
17
17:
2185911559738696531968*x^17 + 2064472028642102280192*x^16 + 917543123840934346752*x^15 + 254873089955815096320*x^14 + 49558656380297379840*x^13 + 7158472588265177088*x^12 + 795385843140575232*x^11 + 69438446623383552*x^10 + 4822114348846080*x^9 + 267895241602560*x^8 + 11906455182336*x^7 + 420935284224*x^6 + 11692646784*x^5 + 249842880*x^4 + 3965760*x^3 + 44064*x^2 + 306*x + 1
19
18
1:
18*x^18 + 1
19
18
2:
36*x^18 + 324*x^17 + 1
19
18
3:
3132*x^18 + 972*x^17 + 2754*x^16 + 1
19
18
4:
47268*x^18 + 57348*x^17 + 11016*x^16 + 14688*x^15 + 1
19
18
5:
940932*x^18 + 908172*x^17 + 498474*x^16 + 73440*x^15 + 55080*x^14 + 1
19
18
6:
17766324*x^18 + 17844948*x^17 + 8217936*x^16 + 2731968*x^15 + 330480*x^14 + 154224*x^13 + 1
19
18
7:
337782924*x^18 + 337638780*x^17 + 159899994*x^16 + 46560960*x^15 + 10575360*x^14 + 1079568*x^13 + 334152*x^12 + 1
19
18
8:
6417525492*x^18 + 6417731412*x^17 + 3029829624*x^16 + 899360928*x^15 + 185178960*x^14 + 30690576*x^13 + 2673216*x^12 + 572832*x^11 + 1
19
18
9:
121933421928*x^18 + 121933190268*x^17 + 57580546626*x^16 + 17058452256*x^15 + 3557782440*x^14 + 549191664*x^13 + 69169464*x^12 + 5155488*x^11 + 787644*x^10 + 1
19
18
10:
2316734579052*x^18 + 2316734784972*x^17 + 1094012663904*x^16 + 324154700928*x^15 + 67526978400*x^14 + 10510982496*x^13 + 1259084736*x^12 + 123731712*x^11 + 7876440*x^10 + 875160*x^9 + 1
19
18
11:
44017957352052*x^18 + 44017957207908*x^17 + 20786258336166*x^16 + 6158888908416*x^15 + 1283107106880*x^14 + 199586522016*x^13 + 24032880144*x^12 + 2282162688*x^11 + 178007544*x^10 + 9626760*x^9 + 787644*x^8 + 1
19
18
12:
836341189466220*x^18 + 836341189544844*x^17 + 394938894603384*x^16 + 117018933367968*x^15 + 24378940513440*x^14 + 3792286421280*x^13 + 456470344512*x^12 + 43481385792*x^11 + 3315981240*x^10 + 207412920*x^9 + 9451728*x^8 + 572832*x^7 + 1
19
18
13:
15890482599969564*x^18 + 15890482599936804*x^17 + 7503839005734558*x^16 + 2223359704586016*x^15 + 463199940643320*x^14 + 72053319858912*x^13 + 8673090923952*x^12 + 826001976384*x^11 + 63102886704*x^10 + 3891836520*x^9 + 196123356*x^8 + 7446816*x^7 + 334152*x^6 + 1
19
18
14:
301919169399378876*x^18 + 301919169399388956*x^17 + 142572941105197392*x^16 + 42243834401836992*x^15 + 8800798832840880*x^14 + 1369013153660208*x^13 + 164788617284928*x^12 + 15694157846016*x^11 + 1198855604232*x^10 + 74006155080*x^9 + 3698776224*x^8 + 150081984*x^7 + 4678128*x^6 + 154224*x^5 + 1
19
18
15:
5736464218588210884*x^18 + 5736464218588208724*x^17 + 2708885881000003518*x^16 + 802632853629556416*x^15 + 167215177839729600*x^14 + 26011249885614672*x^13 + 3130983783548712*x^12 + 298188930334464*x^11 + 22778322642504*x^10 + 1406067937560*x^9 + 70304315796*x^8 + 2840101056*x^7 + 92225952*x^6 + 2313360*x^5 + 55080*x^4 + 1
19
18
16:
108992820153176004348*x^18 + 108992820153176004636*x^17 + 51468831738999777672*x^16 + 15250024218962908512*x^15 + 3177088378950566160*x^14 + 494213747836857552*x^13 + 59488691869047168*x^12 + 5665589702132256*x^11 + 432788101852392*x^10 + 26715315318120*x^9 + 1335765459600*x^8 + 53970512544*x^7 + 1748951568*x^6 + 44879184*x^5 + 881280*x^4 + 14688*x^3 + 1
19
18
17:
2070863582910344082918*x^18 + 2070863582910344082900*x^17 + 977907803040995817078*x^16 + 289750460160295056096*x^15 + 60364679200061473080*x^14 + 9390061208898442800*x^13 + 1130285145515571864*x^12 + 107646204334784544*x^11 + 8222973942284244*x^10 + 507590984043000*x^9 + 25379549245908*x^8 + 1025436301344*x^7 + 33231750552*x^6 + 852087600*x^5 + 16909560*x^4 + 249696*x^3 + 2754*x^2 + 1
19
18
18:
39346408075296537575424*x^18 + 39346408075296537575424*x^17 + 18580248257778920521728*x^16 + 5505258743045606080512*x^15 + 1146928904801167933440*x^14 + 178411162969070567424*x^13 + 21475417764795531264*x^12 + 2045277882361479168*x^11 + 156236504902612992*x^10 + 9644228697692160*x^9 + 482211434884608*x^8 + 19483290298368*x^7 + 631402926336*x^6 + 16189818624*x^5 + 321226560*x^4 + 4758912*x^3 + 49572*x^2 + 324*x + 1
19
19
1:
18*x^19 + 1
19
19
2:
18*x^19 + 342*x^18 + 1
19
19
3:
3096*x^19 + 684*x^18 + 3078*x^17 + 1
19
19
4:
44136*x^19 + 59508*x^18 + 9234*x^17 + 17442*x^16 + 1
19
19
5:
893664*x^19 + 898092*x^18 + 544806*x^17 + 69768*x^16 + 69768*x^15 + 1
19
19
6:
16825392*x^19 + 17877708*x^18 + 8627634*x^17 + 3157002*x^16 + 348840*x^15 + 209304*x^14 + 1
19
19
7:
320016600*x^19 + 337560156*x^18 + 169527006*x^17 + 52046928*x^16 + 12976848*x^15 + 1255824*x^14 + 488376*x^13 + 1
19
19
8:
6079742568*x^19 + 6417875556*x^18 + 3207568410*x^17 + 1012699962*x^16 + 221164560*x^15 + 40186368*x^14 + 3418632*x^13 + 906984*x^12 + 1
19
19
9:
115515896436*x^19 + 121932984348*x^18 + 60968448414*x^17 + 19188920952*x^16 + 4271964408*x^15 + 703680048*x^14 + 97186824*x^13 + 7255872*x^12 + 1360476*x^11 + 1
19
19
10:
2194801157124*x^19 + 2316735016632*x^18 + 1158365307546*x^17 + 364676795298*x^16 + 81027648216*x^15 + 13519573272*x^14 + 1739106936*x^13 + 187745688*x^12 + 12244284*x^11 + 1662804*x^10 + 1
19
19
11:
41701222773000*x^19 + 44017957001988*x^18 + 22008980457234*x^17 + 6928746871392*x^16 + 1539734829408*x^15 + 256602517920*x^14 + 33284777904*x^13 + 3417515712*x^12 + 293862816*x^11 + 16628040*x^10 + 1662804*x^9 + 1
19
19
12:
792323232114168*x^19 + 836341189688988*x^18 + 418170593475126*x^17 + 131646302795718*x^16 + 29254722314976*x^15 + 4875807006144*x^14 + 632023986384*x^13 + 65232103248*x^12 + 5420136384*x^11 + 375793704*x^10 + 18290844*x^9 + 1360476*x^8 + 1
19
19
13:
15054141410503344*x^19 + 15890482599858180*x^18 + 7945241300676018*x^17 + 2501279665821432*x^16 + 555839933497848*x^15 + 92639973951072*x^14 + 12008907000720*x^13 + 1238990935104*x^12 + 103268291256*x^11 + 7000404840*x^10 + 394084548*x^9 + 16325712*x^8 + 906984*x^7 + 1
19
19
14:
286028686799409312*x^19 + 301919169399421716*x^18 + 150959584699399638*x^17 + 47524313702985534*x^16 + 10560958596783576*x^15 + 1760159774444616*x^14 + 228168846219888*x^13 + 23541246793584*x^12 + 1961754693912*x^11 + 133217205264*x^10 + 7394489388*x^9 + 338758524*x^8 + 11790792*x^7 + 488376*x^6 + 1
19
19
15:
5434545049188832008*x^19 + 5736464218588198644*x^18 + 2868232109294195082*x^17 + 902961960332916816*x^16 + 200658213408725712*x^15 + 33443035564795344*x^14 + 4335208319923992*x^13 + 447283389773376*x^12 + 37273624884288*x^11 + 2530917386712*x^10 + 140611694652*x^9 + 6388795296*x^8 + 237629808*x^7 + 6837264*x^6 + 209304*x^5 + 1
19
19
16:
103256355934587793464*x^19 + 108992820153176006796*x^18 + 54496410076587982878*x^17 + 17156277246333355614*x^16 + 3812506054740392976*x^15 + 635417675790972480*x^14 + 82368957971113128*x^13 + 8498384555346504*x^12 + 708198709544352*x^11 + 48087570023064*x^10 + 2671529081364*x^9 + 121434727284*x^8 + 4496826672*x^7 + 134791776*x^6 + 3139560*x^5 + 69768*x^4 + 1
19
19
17:
1961870762757168078570*x^19 + 2070863582910344082612*x^18 + 1035431791455172044042*x^17 + 325969267680331925256*x^16 + 72437615040073815432*x^15 + 12072935840012151408*x^14 + 1565010201483382248*x^13 + 161469306501699456*x^12 + 13455775542564108*x^11 + 913663770577272*x^10 + 50759099104428*x^9 + 2307231248400*x^8 + 85453311528*x^7 + 2556159984*x^6 + 60907464*x^5 + 1116288*x^4 + 17442*x^3 + 1
19
19
18:
37275544492386193492506*x^19 + 39346408075296537575442*x^18 + 19673204037648268787550*x^17 + 6193416085926306841494*x^16 + 1376314685761401516456*x^15 + 229385780960233597704*x^14 + 29735193828178402200*x^13 + 3067916823542266488*x^12 + 255659735295113292*x^11 + 17359611655933404*x^10 + 964422869681700*x^9 + 43837403242932*x^8 + 1623607477128*x^7 + 48569481576*x^6 + 1156404600*x^5 + 21418776*x^4 + 296514*x^3 + 3078*x^2 + 1
19
19
19:
708235345355337676357632*x^19 + 747581753430634213933056*x^18 + 373790876715317106966528*x^17 + 117674905632599829970944*x^16 + 26149979029466628882432*x^15 + 4358329838244438147072*x^14 + 564968682735390130176*x^13 + 58290419647302156288*x^12 + 4857534970608513024*x^11 + 329832621461071872*x^10 + 18324034525615104*x^9 + 832910660255232*x^8 + 30848542972416*x^7 + 922819661568*x^6 + 21971896704*x^5 + 406886976*x^4 + 5651208*x^3 + 55404*x^2 + 342*x + 1
19
20
1:
18*x^20 + 1
19
20
2:
360*x^19 + 1
19
20
3:
3078*x^20 + 360*x^19 + 3420*x^18 + 1
19
20
4:
41040*x^20 + 61920*x^19 + 6840*x^18 + 20520*x^17 + 1
19
20
5:
849528*x^20 + 882720*x^19 + 595080*x^18 + 61560*x^17 + 87210*x^16 + 1
19
20
6:
15931728*x^20 + 17873280*x^19 + 8980920*x^18 + 3632040*x^17 + 348840*x^16 + 279072*x^15 + 1
19
20
7:
303191208*x^20 + 336507840*x^19 + 178777080*x^18 + 57517560*x^17 + 15785010*x^16 + 1395360*x^15 + 697680*x^14 + 1
19
20
8:
5759725968*x^20 + 6400332000*x^19 + 3375601560*x^18 + 1130180040*x^17 + 260234640*x^16 + 51907392*x^15 + 4186080*x^14 + 1395360*x^13 + 1
19
20
9:
109436153868*x^20 + 121594851360*x^19 + 64178755560*x^18 + 21383789400*x^17 + 5063499810*x^16 + 884658240*x^15 + 133954560*x^14 + 9767520*x^13 + 2267460*x^12 + 1
19
20
10:
2079285260688*x^20 + 2310317928720*x^19 + 1219329843480*x^18 + 406456322760*x^17 + 95944604760*x^16 + 17087857632*x^15 + 2345600160*x^14 + 277676640*x^13 + 18139680*x^12 + 3023280*x^11 + 1
19
20
11:
39506421615876*x^20 + 43896023142480*x^19 + 23167350166320*x^18 + 7722435383640*x^17 + 1823383976490*x^16 + 324110592864*x^15 + 45065244240*x^14 + 4968876960*x^13 + 469364220*x^12 + 27209520*x^11 + 3325608*x^10 + 1
19
20
12:
750622009341168*x^20 + 834024455460000*x^19 + 440179570019880*x^18 + 146726536381560*x^17 + 34643734356960*x^16 + 6158939317632*x^15 + 855341726400*x^14 + 95099365440*x^13 + 8543789280*x^12 + 653028480*x^11 + 33256080*x^10 + 3023280*x^9 + 1
19
20
13:
14261818178389176*x^20 + 15846464642283360*x^19 + 8363411896889880*x^18 + 2787803956500840*x^17 + 658231513978590*x^16 + 117018889259904*x^15 + 16252690020480*x^14 + 1805782818240*x^13 + 163080258120*x^12 + 12044747520*x^11 + 751587408*x^10 + 33256080*x^9 + 2267460*x^8 + 1
19
20
14:
270974545388905968*x^20 + 301082828210066880*x^19 + 158904825998581800*x^18 + 52968275337840120*x^17 + 12506398329107160*x^16 + 2223359733991392*x^15 + 308799913170240*x^14 + 34311162859200*x^13 + 3097477337760*x^12 + 229485091680*x^11 + 14000809680*x^10 + 716517360*x^9 + 27209520*x^8 + 1395360*x^7 + 1
19
20
15:
5148516362389422696*x^20 + 5720573735988186240*x^19 + 3019191693994217160*x^18 + 1006397231329330920*x^17 + 237621568514927670*x^16 + 42243834387134304*x^15 + 5867199248148720*x^14 + 651910989199680*x^13 + 58853116983960*x^12 + 4359454875360*x^11 + 266434410528*x^10 + 13444526160*x^9 + 564597540*x^8 + 18139680*x^7 + 697680*x^6 + 1
19
20
16:
97821810885398961456*x^20 + 108690900983776640160*x^19 + 57364642185881986440*x^18 + 19121547395294633880*x^17 + 4514809801664584080*x^16 + 802632853634902848*x^15 + 111476785215984480*x^14 + 12386309485497120*x^13 + 1118208474433440*x^12 + 82830277520640*x^11 + 5061834773424*x^10 + 255657626640*x^9 + 10647992160*x^8 + 365584320*x^7 + 9767520*x^6 + 279072*x^5 + 1
19
20
17:
1858614406822580285106*x^20 + 2065127118691755869280*x^19 + 1089928201531760067960*x^18 + 363309400510586552520*x^17 + 85781386231666778070*x^16 + 15250024218961571904*x^15 + 2118058919303241600*x^14 + 235339879917466080*x^13 + 21245961388366260*x^12 + 1573774910098560*x^11 + 96175140046128*x^10 + 4857325602480*x^9 + 202391212140*x^8 + 6918194880*x^7 + 192559680*x^6 + 4186080*x^5 + 87210*x^4 + 1
19
20
18:
35313673729629025413936*x^20 + 39237415255143361571400*x^19 + 20708635829103440826120*x^18 + 6902878609701146960280*x^17 + 1629846338401659626280*x^16 + 289750460160295261728*x^15 + 40243119466707171360*x^14 + 4471457718523949280*x^13 + 403673266254248640*x^12 + 29901723427920240*x^11 + 1827327541154544*x^10 + 92289271098960*x^9 + 3845385414000*x^8 + 131466633120*x^7 + 3651657120*x^6 + 81209952*x^5 + 1395360*x^4 + 20520*x^3 + 1
19
20
19:
670959800862951482865126*x^20 + 745510889847723869850120*x^19 + 393464080752965375754420*x^18 + 131154693584321791917000*x^17 + 30967080429631534207470*x^16 + 5505258743045606065824*x^15 + 764619269867445325680*x^14 + 84957696651938292000*x^13 + 7669792058855666220*x^12 + 568132745100251760*x^11 + 34719223311866808*x^10 + 1753496126694000*x^9 + 73062338738220*x^8 + 2497857657120*x^7 + 69384973680*x^6 + 1541872800*x^5 + 26773470*x^4 + 348840*x^3 + 3420*x^2 + 1
19
20
20:
12748236216396078174437376*x^20 + 14164706907106753527152640*x^19 + 7475817534306342139330560*x^18 + 2491939178102114046443520*x^17 + 588374528162999149854720*x^16 + 104599916117866515529728*x^15 + 14527766127481460490240*x^14 + 1614196236386828943360*x^13 + 145726049118255390720*x^12 + 10794522156907806720*x^11 + 659665242922143744*x^10 + 33316426410209280*x^9 + 1388184433758720*x^8 + 47459296880640*x^7 + 1318313802240*x^6 + 29295862272*x^5 + 508608720*x^4 + 6648480*x^3 + 61560*x^2 + 360*x + 1
Definition
For a prime power $q$ and a $q$-ary linear maximum distance separable code $C$ [4] [1] with parameters $[n,k,n-k+1]_q$, $W_{q,n,k}(x)$ is the dehomogenised weight enumerator $\sum_{i=0}^{n} A_i x^i$, where $A_i$ is the number of codewords of Hamming weight $i$.
Parameters
$q$
—   alphabet size ($q$ is a prime power)
$n$
—   length ($n\geq1$ and an $[n,k,n-k+1]_q$ MDS code exists)
$k$
—   dimension ($1\leq k\leq n$)
Formulas
(1)
With $d=n-k+1$, $A_0=1$, $A_w=0$ for $1\leq w<d$, and for $d\leq w\leq n$, $A_w=\binom{n}{w}\sum_{j=0}^{w-d}(-1)^j\binom{w}{j}(q^{w-d+1-j}-1)=\binom{n}{w}(q-1)\sum_{j=0}^{w-d}(-1)^j\binom{w-1}{j}q^{w-d-j}$ [2].
(2)
For $1\leq k<n$, the dual code has enumerator $W_{q,n,n-k}(x)=q^{-k}(1+(q-1)x)^n W_{q,n,k}((1-x)/(1+(q-1)x))$ [3].
Comments
(3)
An MDS code meets the Singleton bound [7]. Its weight distribution is determined by $q$, $n$ and $k$ [3]; $W_{q,n,k}$ therefore does not depend on which code $C$ is chosen.
(4)
This table stores the dehomogenised weight enumerator [6] $W_C(x)=\sum_{i=0}^{n}A_i x^i$ rather than the homogeneous form $W_C(X,Y)=\sum_{i=0}^{n}A_i X^{n-i}Y^i$. The homogeneous form is recovered as $X^n W_C(Y/X)$.
(5)
The coefficient of $x^i$ counts codewords of Hamming weight $i$, so $A_0=1$ and $W_{q,n,k}(1)=q^k$.
(6)
Generalized Reed-Solomon codes give examples with $1\leq k\leq n\leq q+1$ [5]. The stored rows stay inside that existence theorem; they do not include the length-$q+2$ MDS codes allowed by the MDS conjecture when $q$ is even and $k\in\{3,q-1\}$ [3], such as the hexacode $[6,3,4]_4$ [4], or the trivial MDS families $[n,1,n]_q$, $[n,n-1,2]_q$ and $[n,n,1]_q$ beyond $n=q+1$ [4].
Programs
(P1)
Sage
def mds_weight_enumerator(q, n, k):
    import numberdb.sage as numberdb
    from math import comb
    from sage.rings.integer_ring import ZZ
    from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
    R = PolynomialRing(ZZ, "x")
    x = R.gen()
    d = n - k + 1
    polynomial = R(1)
    for w in range(d, n + 1):
        coefficient = ZZ(comb(n, w)) * sum(
            ZZ(-1)**j * ZZ(comb(w, j)) * (ZZ(q)**(w - d + 1 - j) - 1)
            for j in range(w - d + 1))
        polynomial += coefficient * x**w
    return polynomial

mds_weight_enumerator(3, 4, 2)
References
[1]
R. C. Singleton, Maximum distance q-nary codes, IEEE Transactions on Information Theory 10 (1964), 116-118. (doi)
[2]
Steven Roman, Coding and Information Theory, Graduate Texts in Mathematics 134, Springer-Verlag, 1992.
[3]
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, North-Holland, 1977.
Links
Similar tables
Krawtchouk polynomials of the Hamming scheme —   the Krawtchouk polynomials are the kernel of the MacWilliams transform carrying the weight enumerator of a $q$-ary code to that of its dual
Weight enumerators of the classical linear codes —   the same enumerator for named classical codes rather than for MDS parameters; the $q$-ary Hamming code with $m=2$ has parameters $[q+1,q-1,3]_q$ and its dual simplex code has parameters $[q+1,2,q]_q$, so those rows also occur here
Data properties
Entries are of type: integral polynomial
How well the digits are known: exact
Table is complete: no (it holds every prime power $q\leq19$, every length $1\leq n\leq q+1$, and every dimension $1\leq k\leq n$)
How they were obtained:

The coefficients are computed exactly over $\mathbb{Z}$ from (1).

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The generator was checked against direct enumeration of generalized Reed-Solomon codewords for $q\in\{2,3,4,5\}$, against (2) on the whole stored range, and against the identities $W_{q,n,k}(1)=q^k$ and $A_w=0$ for $1\leq w<n-k+1$ on the whole stored range.



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