parking functions - generating function edition

4003 days ago by butler

x=var('x') 
       
def recurse_find_parking_function(T,root): if T.order()==1: return 1 else: temp_T=copy(T) temp_T.delete_vertex(root) poly(x)=1 for v in T.neighbors(root): poly(x)=poly*recurse_find_parking_function(temp_T.subgraph(temp_T.connected_component_containing_vertex(v)),v) return expand((poly(x)-poly(0)*(1-x)^(T.order()))/x) 
       
%time html('<!--notruncate-->') for num_vertices in range(2,11): for T in graphs.trees(num_vertices): T.show() for v in T.automorphism_group().orbits(): print "Placing the root at "+str(v[0]%T.order())+": "+str(recurse_find_parking_function(T,v[0])(x=0)) print recurse_find_parking_function(T,v[0]) print "" orbited=[] for b in T.automorphism_group().orbits(): orbited.extend(b) for i in range(T.order()): if (i not in orbited) and ((i+T.order()) not in orbited): print "Placing the root at "+str(i)+": "+str(recurse_find_parking_function(T,i)(x=0)) print recurse_find_parking_function(T,i) print "" 
       
Placing the root at 1:  2
-x + 2

Placing the root at 1:  5
2*x^2 - 6*x + 5

Placing the root at 0:  3
x^2 - 3*x + 3

Placing the root at 1:  7
-2*x^3 + 8*x^2 - 12*x + 7

Placing the root at 2:  14
-5*x^3 + 20*x^2 - 28*x + 14

Placing the root at 1:  9
-3*x^3 + 12*x^2 - 17*x + 9

Placing the root at 0:  4
-x^3 + 4*x^2 - 6*x + 4

Placing the root at 1:  19
5*x^4 - 25*x^3 + 50*x^2 - 48*x + 19

Placing the root at 2:  42
14*x^4 - 70*x^3 + 135*x^2 - 120*x + 42

Placing the root at 0:  16
4*x^4 - 20*x^3 + 40*x^2 - 39*x + 16

Placing the root at 1:  12
3*x^4 - 15*x^3 + 30*x^2 - 29*x + 12

Placing the root at 2:  28
9*x^4 - 45*x^3 + 87*x^2 - 78*x + 28

Placing the root at 3:  23
7*x^4 - 35*x^3 + 68*x^2 - 62*x + 23

Placing the root at 0:  9
2*x^4 - 10*x^3 + 20*x^2 - 20*x + 9

Placing the root at 1:  14
4*x^4 - 20*x^3 + 39*x^2 - 36*x + 14

Placing the root at 0:  5
x^4 - 5*x^3 + 10*x^2 - 10*x + 5

Placing the root at 1:  43
-10*x^5 + 60*x^4 - 150*x^3 + 198*x^2 - 140*x + 43

Placing the root at 2:  56
-14*x^5 + 84*x^4 - 210*x^3 + 275*x^2 - 190*x + 56

Placing the root at 3:  132
-42*x^5 + 252*x^4 - 616*x^3 + 770*x^2 - 495*x + 132

Placing the root at 1:  24
-5*x^5 + 30*x^4 - 75*x^3 + 100*x^2 - 73*x + 24

Placing the root at 2:  66
-19*x^5 + 114*x^4 - 280*x^3 + 355*x^2 - 235*x + 66

Placing the root at 0:  27
-6*x^5 + 36*x^4 - 90*x^3 + 119*x^2 - 85*x + 27

Placing the root at 4:  37
-9*x^5 + 54*x^4 - 135*x^3 + 177*x^2 - 123*x + 37

Placing the root at 5:  90
-28*x^5 + 168*x^4 - 411*x^3 + 515*x^2 - 333*x + 90

Placing the root at 1:  15
-3*x^5 + 18*x^4 - 45*x^3 + 60*x^2 - 44*x + 15

Placing the root at 2:  43
-12*x^5 + 72*x^4 - 177*x^3 + 225*x^2 - 150*x + 43

Placing the root at 1:  30
-7*x^5 + 42*x^4 - 105*x^3 + 138*x^2 - 97*x + 30

Placing the root at 2:  76
-23*x^5 + 138*x^4 - 338*x^3 + 425*x^2 - 277*x + 76

Placing the root at 0:  20
-4*x^5 + 24*x^4 - 60*x^3 + 80*x^2 - 59*x + 20

Placing the root at 5:  57
-16*x^5 + 96*x^4 - 236*x^3 + 300*x^2 - 200*x + 57

Placing the root at 1:  18
-4*x^5 + 24*x^4 - 60*x^3 + 79*x^2 - 56*x + 18

Placing the root at 2:  48
-14*x^5 + 84*x^4 - 206*x^3 + 260*x^2 - 171*x + 48

Placing the root at 3:  34
-9*x^5 + 54*x^4 - 133*x^3 + 170*x^2 - 115*x + 34

Placing the root at 0:  11
-2*x^5 + 12*x^4 - 30*x^3 + 40*x^2 - 30*x + 11

Placing the root at 1:  20
-5*x^5 + 30*x^4 - 74*x^3 + 95*x^2 - 65*x + 20

Placing the root at 0:  6
-x^5 + 6*x^4 - 15*x^3 + 20*x^2 - 15*x + 6

Placing the root at 1:  126
28*x^6 - 196*x^5 + 588*x^4 - 975*x^3 + 950*x^2 - 520*x + 126

Placing the root at 2:  174
42*x^6 - 294*x^5 + 882*x^4 - 1456*x^3 + 1400*x^2 - 747*x + 174

Placing the root at 3:  429
132*x^6 - 924*x^5 + 2730*x^4 - 4368*x^3 + 4004*x^2 - 2002*x + 429

Placing the root at 0:  115
25*x^6 - 175*x^5 + 525*x^4 - 871*x^3 + 851*x^2 - 469*x + 115

Placing the root at 1:  83
18*x^6 - 126*x^5 + 378*x^4 - 627*x^3 + 612*x^2 - 337*x + 83

Placing the root at 2:  118
28*x^6 - 196*x^5 + 588*x^4 - 971*x^3 + 935*x^2 - 501*x + 118

Placing the root at 3:  297
90*x^6 - 630*x^5 + 1862*x^4 - 2982*x^3 + 2739*x^2 - 1375*x + 297

Placing the root at 4:  70
14*x^6 - 98*x^5 + 294*x^4 - 490*x^3 + 485*x^2 - 274*x + 70

Placing the root at 5:  202
56*x^6 - 392*x^5 + 1162*x^4 - 1876*x^3 + 1750*x^2 - 901*x + 202

Placing the root at 0:  72
15*x^6 - 105*x^5 + 315*x^4 - 523*x^3 + 513*x^2 - 286*x + 72

Placing the root at 1:  67
14*x^6 - 98*x^5 + 294*x^4 - 488*x^3 + 478*x^2 - 266*x + 67

Placing the root at 0:  53
10*x^6 - 70*x^5 + 210*x^4 - 350*x^3 + 348*x^2 - 200*x + 53

Placing the root at 2:  99
23*x^6 - 161*x^5 + 483*x^4 - 798*x^3 + 770*x^2 - 415*x + 99

Placing the root at 3:  255
76*x^6 - 532*x^5 + 1573*x^4 - 2522*x^3 + 2322*x^2 - 1171*x + 255

Placing the root at 4:  85
19*x^6 - 133*x^5 + 399*x^4 - 660*x^3 + 640*x^2 - 349*x + 85

Placing the root at 5:  227
66*x^6 - 462*x^5 + 1367*x^4 - 2196*x^3 + 2030*x^2 - 1031*x + 227

Placing the root at 6:  161
43*x^6 - 301*x^5 + 893*x^4 - 1445*x^3 + 1355*x^2 - 705*x + 161

Placing the root at 1:  29
5*x^6 - 35*x^5 + 105*x^4 - 175*x^3 + 175*x^2 - 103*x + 29

Placing the root at 2:  95
24*x^6 - 168*x^5 + 499*x^4 - 810*x^3 + 765*x^2 - 404*x + 95

Placing the root at 0:  40
8*x^6 - 56*x^5 + 168*x^4 - 279*x^3 + 274*x^2 - 154*x + 40

Placing the root at 5:  62
14*x^6 - 98*x^5 + 294*x^4 - 486*x^3 + 470*x^2 - 255*x + 62

Placing the root at 6:  165
48*x^6 - 336*x^5 + 994*x^4 - 1596*x^3 + 1474*x^2 - 748*x + 165

Placing the root at 1:  46
9*x^6 - 63*x^5 + 189*x^4 - 315*x^3 + 312*x^2 - 177*x + 46

Placing the root at 2:  136
37*x^6 - 259*x^5 + 768*x^4 - 1241*x^3 + 1160*x^2 - 600*x + 136

Placing the root at 0:  45
9*x^6 - 63*x^5 + 189*x^4 - 314*x^3 + 309*x^2 - 174*x + 45

Placing the root at 1:  37
7*x^6 - 49*x^5 + 147*x^4 - 245*x^3 + 243*x^2 - 139*x + 37

Placing the root at 2:  113
30*x^6 - 210*x^5 + 623*x^4 - 1008*x^3 + 945*x^2 - 492*x + 113

Placing the root at 0:  33
6*x^6 - 42*x^5 + 126*x^4 - 210*x^3 + 209*x^2 - 121*x + 33

Placing the root at 4:  55
12*x^6 - 84*x^5 + 252*x^4 - 417*x^3 + 405*x^2 - 222*x + 55

Placing the root at 5:  151
43*x^6 - 301*x^5 + 891*x^4 - 1433*x^3 + 1328*x^2 - 678*x + 151

Placing the root at 6:  104
27*x^6 - 189*x^5 + 561*x^4 - 909*x^3 + 855*x^2 - 448*x + 104

Placing the root at 1:  22
4*x^6 - 28*x^5 + 84*x^4 - 140*x^3 + 139*x^2 - 80*x + 22

Placing the root at 2:  70
18*x^6 - 126*x^5 + 374*x^4 - 606*x^3 + 570*x^2 - 299*x + 70

Placing the root at 4:  61
15*x^6 - 105*x^5 + 312*x^4 - 507*x^3 + 480*x^2 - 255*x + 61

Placing the root at 0:  18
3*x^6 - 21*x^5 + 63*x^4 - 105*x^3 + 105*x^2 - 62*x + 18

Placing the root at 1:  73
16*x^6 - 112*x^5 + 336*x^4 - 556*x^3 + 540*x^2 - 296*x + 73

Placing the root at 2:  199
57*x^6 - 399*x^5 + 1181*x^4 - 1899*x^3 + 1759*x^2 - 897*x + 199

Placing the root at 0:  44
8*x^6 - 56*x^5 + 168*x^4 - 280*x^3 + 279*x^2 - 162*x + 44

Placing the root at 1:  43
9*x^6 - 63*x^5 + 189*x^4 - 313*x^3 + 305*x^2 - 169*x + 43

Placing the root at 2:  123
34*x^6 - 238*x^5 + 705*x^4 - 1136*x^3 + 1057*x^2 - 544*x + 123

Placing the root at 5:  81
20*x^6 - 140*x^5 + 416*x^4 - 676*x^3 + 640*x^2 - 340*x + 81

Placing the root at 0:  24
4*x^6 - 28*x^5 + 84*x^4 - 140*x^3 + 140*x^2 - 83*x + 24

Placing the root at 1:  25
5*x^6 - 35*x^5 + 105*x^4 - 174*x^3 + 170*x^2 - 95*x + 25

Placing the root at 2:  75
20*x^6 - 140*x^5 + 415*x^4 - 670*x^3 + 626*x^2 - 325*x + 75

Placing the root at 3:  47
11*x^6 - 77*x^5 + 229*x^4 - 373*x^3 + 355*x^2 - 191*x + 47

Placing the root at 0:  13
2*x^6 - 14*x^5 + 42*x^4 - 70*x^3 + 70*x^2 - 42*x + 13

Placing the root at 1:  27
6*x^6 - 42*x^5 + 125*x^4 - 204*x^3 + 195*x^2 - 106*x + 27

Placing the root at 0:  7
x^6 - 7*x^5 + 21*x^4 - 35*x^3 + 35*x^2 - 21*x + 7

Placing the root at 1:  336
-70*x^7 + 560*x^6 - 1960*x^5 + 3910*x^4 - 4830*x^3 + 3719*x^2 - 1664*x +
336

Placing the root at 2:  390
-84*x^7 + 672*x^6 - 2352*x^5 + 4690*x^4 - 5782*x^3 + 4429*x^2 - 1962*x +
390

Placing the root at 3:  561
-132*x^7 + 1056*x^6 - 3696*x^5 + 7350*x^4 - 8988*x^3 + 6776*x^2 - 2926*x
+ 561

Placing the root at 4:  1430
-429*x^7 + 3432*x^6 - 11880*x^5 + 23100*x^4 - 27300*x^3 + 19656*x^2 -
8008*x + 1430

Placing the root at 1:  210
-42*x^7 + 336*x^6 - 1176*x^5 + 2347*x^4 - 2905*x^3 + 2249*x^2 - 1018*x +
210

Placing the root at 2:  216
-42*x^7 + 336*x^6 - 1176*x^5 + 2352*x^4 - 2926*x^3 + 2282*x^2 - 1041*x +
216

Placing the root at 3:  645
-174*x^7 + 1392*x^6 - 4830*x^5 + 9450*x^4 - 11298*x^3 + 8288*x^2 -
3472*x + 645

Placing the root at 0:  221
-45*x^7 + 360*x^6 - 1260*x^5 + 2514*x^4 - 3108*x^3 + 2399*x^2 - 1080*x +
221

Placing the root at 5:  264
-56*x^7 + 448*x^6 - 1568*x^5 + 3127*x^4 - 3857*x^3 + 2959*x^2 - 1316*x +
264

Placing the root at 6:  387
-90*x^7 + 720*x^6 - 2520*x^5 + 5012*x^4 - 6132*x^3 + 4629*x^2 - 2005*x +
387

Placing the root at 7:  1001
-297*x^7 + 2376*x^6 - 8226*x^5 + 16002*x^4 - 18928*x^3 + 13650*x^2 -
5577*x + 1001

Placing the root at 1:  138
-27*x^7 + 216*x^6 - 756*x^5 + 1509*x^4 - 1869*x^3 + 1450*x^2 - 660*x +
138

Placing the root at 2:  146
-28*x^7 + 224*x^6 - 784*x^5 + 1568*x^4 - 1951*x^3 + 1523*x^2 - 697*x +
146

Placing the root at 3:  443
-118*x^7 + 944*x^6 - 3276*x^5 + 6412*x^4 - 7672*x^3 + 5637*x^2 - 2369*x
+ 443

Placing the root at 1:  154
-28*x^7 + 224*x^6 - 784*x^5 + 1568*x^4 - 1955*x^3 + 1538*x^2 - 716*x +
154

Placing the root at 0:  178
-35*x^7 + 280*x^6 - 980*x^5 + 1956*x^4 - 2422*x^3 + 1878*x^2 - 854*x +
178

Placing the root at 2:  258
-56*x^7 + 448*x^6 - 1568*x^5 + 3122*x^4 - 3836*x^3 + 2926*x^2 - 1293*x +
258

Placing the root at 3:  715
-202*x^7 + 1616*x^6 - 5600*x^5 + 10920*x^4 - 12978*x^3 + 9436*x^2 -
3906*x + 715

Placing the root at 4:  488
-126*x^7 + 1008*x^6 - 3500*x^5 + 6860*x^4 - 8232*x^3 + 6081*x^2 - 2578*x
+ 488

Placing the root at 5:  221
-46*x^7 + 368*x^6 - 1288*x^5 + 2569*x^4 - 3171*x^3 + 2438*x^2 - 1090*x +
221

Placing the root at 6:  331
-76*x^7 + 608*x^6 - 2128*x^5 + 4233*x^4 - 5182*x^3 + 3918*x^2 - 1703*x +
331

Placing the root at 7:  869
-255*x^7 + 2040*x^6 - 7064*x^5 + 13748*x^4 - 16277*x^3 + 11758*x^2 -
4818*x + 869

Placing the root at 1:  101
-18*x^7 + 144*x^6 - 504*x^5 + 1008*x^4 - 1257*x^3 + 990*x^2 - 463*x +
101

Placing the root at 2:  173
-37*x^7 + 296*x^6 - 1036*x^5 + 2063*x^4 - 2536*x^3 + 1937*x^2 - 859*x +
173

Placing the root at 3:  488
-136*x^7 + 1088*x^6 - 3771*x^5 + 7357*x^4 - 8752*x^3 + 6375*x^2 - 2648*x
+ 488

Placing the root at 4:  327
-83*x^7 + 664*x^6 - 2306*x^5 + 4522*x^4 - 5432*x^3 + 4021*x^2 - 1712*x +
327

Placing the root at 5:  122
-23*x^7 + 184*x^6 - 644*x^5 + 1288*x^4 - 1603*x^3 + 1253*x^2 - 576*x +
122

Placing the root at 6:  377
-99*x^7 + 792*x^6 - 2749*x^5 + 5383*x^4 - 6447*x^3 + 4746*x^2 - 2002*x +
377

Placing the root at 0:  111
-21*x^7 + 168*x^6 - 588*x^5 + 1174*x^4 - 1456*x^3 + 1134*x^2 - 521*x +
111

Placing the root at 1:  81
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 978*x^3 + 772*x^2 - 364*x + 81

Placing the root at 2:  143
-30*x^7 + 240*x^6 - 840*x^5 + 1673*x^4 - 2058*x^3 + 1575*x^2 - 702*x +
143

Placing the root at 3:  412
-113*x^7 + 904*x^6 - 3134*x^5 + 6118*x^4 - 7287*x^3 + 5320*x^2 - 2219*x
+ 412

Placing the root at 4:  270
-67*x^7 + 536*x^6 - 1862*x^5 + 3654*x^4 - 4396*x^3 + 3264*x^2 - 1398*x +
270

Placing the root at 1:  189
-38*x^7 + 304*x^6 - 1064*x^5 + 2123*x^4 - 2625*x^3 + 2028*x^2 - 916*x +
189

Placing the root at 2:  293
-66*x^7 + 528*x^6 - 1848*x^5 + 3677*x^4 - 4506*x^3 + 3416*x^2 - 1493*x +
293

Placing the root at 3:  785
-227*x^7 + 1816*x^6 - 6290*x^5 + 12250*x^4 - 14523*x^3 + 10516*x^2 -
4326*x + 785

Placing the root at 0:  140
-25*x^7 + 200*x^6 - 700*x^5 + 1400*x^4 - 1746*x^3 + 1376*x^2 - 644*x +
140

Placing the root at 7:  451
-115*x^7 + 920*x^6 - 3195*x^5 + 6265*x^4 - 7525*x^3 + 5569*x^2 - 2369*x
+ 451

Placing the root at 1:  138
-28*x^7 + 224*x^6 - 784*x^5 + 1564*x^4 - 1932*x^3 + 1489*x^2 - 670*x +
138

Placing the root at 2:  213
-48*x^7 + 384*x^6 - 1344*x^5 + 2674*x^4 - 3276*x^3 + 2482*x^2 - 1084*x +
213

Placing the root at 3:  572
-165*x^7 + 1320*x^6 - 4572*x^5 + 8904*x^4 - 10556*x^3 + 7644*x^2 -
3146*x + 572

Placing the root at 4:  84
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 980*x^3 + 779*x^2 - 372*x + 84

Placing the root at 5:  286
-70*x^7 + 560*x^6 - 1946*x^5 + 3822*x^4 - 4606*x^3 + 3430*x^2 - 1475*x +
286

Placing the root at 0:  106
-20*x^7 + 160*x^6 - 560*x^5 + 1118*x^4 - 1386*x^3 + 1079*x^2 - 496*x +
106

Placing the root at 1:  122
-24*x^7 + 192*x^6 - 672*x^5 + 1341*x^4 - 1659*x^3 + 1284*x^2 - 583*x +
122

Placing the root at 2:  194
-43*x^7 + 344*x^6 - 1204*x^5 + 2396*x^4 - 2938*x^3 + 2231*x^2 - 979*x +
194

Placing the root at 3:  530
-151*x^7 + 1208*x^6 - 4185*x^5 + 8155*x^4 - 9679*x^3 + 7023*x^2 - 2900*x
+ 530

Placing the root at 4:  104
-19*x^7 + 152*x^6 - 532*x^5 + 1064*x^4 - 1325*x^3 + 1039*x^2 - 482*x +
104

Placing the root at 5:  331
-85*x^7 + 680*x^6 - 2361*x^5 + 4627*x^4 - 5551*x^3 + 4100*x^2 - 1740*x +
331

Placing the root at 0:  87
-15*x^7 + 120*x^6 - 420*x^5 + 840*x^4 - 1048*x^3 + 828*x^2 - 391*x + 87

Placing the root at 7:  290
-72*x^7 + 576*x^6 - 2001*x^5 + 3927*x^4 - 4725*x^3 + 3509*x^2 - 1503*x +
290

Placing the root at 1:  162
-32*x^7 + 256*x^6 - 896*x^5 + 1788*x^4 - 2212*x^3 + 1712*x^2 - 777*x +
162

Placing the root at 2:  256
-57*x^7 + 456*x^6 - 1596*x^5 + 3176*x^4 - 3894*x^3 + 2956*x^2 - 1296*x +
256

Placing the root at 3:  695
-199*x^7 + 1592*x^6 - 5515*x^5 + 10745*x^4 - 12749*x^3 + 9245*x^2 -
3813*x + 695

Placing the root at 4:  204
-43*x^7 + 344*x^6 - 1204*x^5 + 2398*x^4 - 2950*x^3 + 2258*x^2 - 1006*x +
204

Placing the root at 5:  583
-161*x^7 + 1288*x^6 - 4465*x^5 + 8715*x^4 - 10377*x^3 + 7571*x^2 -
3153*x + 583

Placing the root at 0:  116
-20*x^7 + 160*x^6 - 560*x^5 + 1120*x^4 - 1398*x^3 + 1106*x^2 - 523*x +
116

Placing the root at 1:  95
-18*x^7 + 144*x^6 - 504*x^5 + 1006*x^4 - 1246*x^3 + 968*x^2 - 444*x + 95

Placing the root at 2:  157
-34*x^7 + 272*x^6 - 952*x^5 + 1895*x^4 - 2326*x^3 + 1771*x^2 - 782*x +
157

Placing the root at 3:  440
-123*x^7 + 984*x^6 - 3410*x^5 + 6650*x^4 - 7905*x^3 + 5752*x^2 - 2387*x
+ 440

Placing the root at 4:  119
-24*x^7 + 192*x^6 - 672*x^5 + 1339*x^4 - 1650*x^3 + 1269*x^2 - 572*x +
119

Placing the root at 5:  356
-95*x^7 + 760*x^6 - 2636*x^5 + 5152*x^4 - 6151*x^3 + 4510*x^2 - 1895*x +
356

Placing the root at 6:  224
-53*x^7 + 424*x^6 - 1474*x^5 + 2898*x^4 - 3500*x^3 + 2618*x^2 - 1136*x +
224

Placing the root at 0:  63
-10*x^7 + 80*x^6 - 280*x^5 + 560*x^4 - 700*x^3 + 558*x^2 - 270*x + 63

Placing the root at 1:  34
-5*x^7 + 40*x^6 - 140*x^5 + 280*x^4 - 350*x^3 + 280*x^2 - 138*x + 34

Placing the root at 2:  129
-29*x^7 + 232*x^6 - 807*x^5 + 1589*x^4 - 1925*x^3 + 1449*x^2 - 637*x +
129

Placing the root at 0:  55
-10*x^7 + 80*x^6 - 280*x^5 + 559*x^4 - 693*x^3 + 540*x^2 - 250*x + 55

Placing the root at 6:  95
-20*x^7 + 160*x^6 - 560*x^5 + 1115*x^4 - 1370*x^3 + 1046*x^2 - 465*x +
95

Placing the root at 7:  275
-75*x^7 + 600*x^6 - 2080*x^5 + 4060*x^4 - 4835*x^3 + 3530*x^2 - 1474*x +
275

Placing the root at 1:  55
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 630*x^3 + 501*x^2 - 240*x + 55

Placing the root at 2:  191
-46*x^7 + 368*x^6 - 1279*x^5 + 2513*x^4 - 3031*x^3 + 2261*x^2 - 976*x +
191

Placing the root at 5:  76
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 976*x^3 + 764*x^2 - 353*x + 76

Placing the root at 6:  241
-62*x^7 + 496*x^6 - 1722*x^5 + 3374*x^4 - 4046*x^3 + 2986*x^2 - 1266*x +
241

Placing the root at 0:  66
-12*x^7 + 96*x^6 - 336*x^5 + 671*x^4 - 833*x^3 + 651*x^2 - 302*x + 66

Placing the root at 1:  44
-7*x^7 + 56*x^6 - 196*x^5 + 392*x^4 - 490*x^3 + 390*x^2 - 188*x + 44

Placing the root at 2:  157
-37*x^7 + 296*x^6 - 1029*x^5 + 2023*x^4 - 2443*x^3 + 1827*x^2 - 793*x +
157

Placing the root at 0:  48
-8*x^7 + 64*x^6 - 224*x^5 + 448*x^4 - 559*x^3 + 442*x^2 - 210*x + 48

Placing the root at 5:  88
-18*x^7 + 144*x^6 - 504*x^5 + 1004*x^4 - 1236*x^3 + 948*x^2 - 425*x + 88

Placing the root at 6:  261
-70*x^7 + 560*x^6 - 1942*x^5 + 3794*x^4 - 4526*x^3 + 3314*x^2 - 1390*x +
261

Placing the root at 7:  166
-40*x^7 + 320*x^6 - 1112*x^5 + 2184*x^4 - 2632*x^3 + 1961*x^2 - 846*x +
166

Placing the root at 1:  26
-4*x^7 + 32*x^6 - 112*x^5 + 224*x^4 - 280*x^3 + 223*x^2 - 108*x + 26

Placing the root at 2:  96
-22*x^7 + 176*x^6 - 612*x^5 + 1204*x^4 - 1456*x^3 + 1092*x^2 - 477*x +
96

Placing the root at 1:  67
-12*x^7 + 96*x^6 - 336*x^5 + 672*x^4 - 837*x^3 + 657*x^2 - 306*x + 67

Placing the root at 2:  218
-55*x^7 + 440*x^6 - 1528*x^5 + 2996*x^4 - 3598*x^3 + 2663*x^2 - 1135*x +
218

Placing the root at 0:  54
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 629*x^3 + 498*x^2 - 237*x + 54

Placing the root at 7:  186
-45*x^7 + 360*x^6 - 1251*x^5 + 2457*x^4 - 2961*x^3 + 2206*x^2 - 951*x +
186

Placing the root at 1:  89
-16*x^7 + 128*x^6 - 448*x^5 + 896*x^4 - 1116*x^3 + 876*x^2 - 408*x + 89

Placing the root at 2:  288
-73*x^7 + 584*x^6 - 2028*x^5 + 3976*x^4 - 4774*x^3 + 3532*x^2 - 1504*x +
288

Placing the root at 4:  131
-27*x^7 + 216*x^6 - 756*x^5 + 1506*x^4 - 1854*x^3 + 1422*x^2 - 637*x +
131

Placing the root at 5:  384
-104*x^7 + 832*x^6 - 2885*x^5 + 5635*x^4 - 6719*x^3 + 4915*x^2 - 2057*x
+ 384

Placing the root at 0:  72
-12*x^7 + 96*x^6 - 336*x^5 + 672*x^4 - 839*x^3 + 665*x^2 - 317*x + 72

Placing the root at 1:  52
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 628*x^3 + 494*x^2 - 232*x + 52

Placing the root at 2:  175
-43*x^7 + 344*x^6 - 1195*x^5 + 2345*x^4 - 2821*x^3 + 2095*x^2 - 899*x +
175

Placing the root at 4:  76
-15*x^7 + 120*x^6 - 420*x^5 + 837*x^4 - 1032*x^3 + 795*x^2 - 360*x + 76

Placing the root at 5:  233
-61*x^7 + 488*x^6 - 1693*x^5 + 3311*x^4 - 3958*x^3 + 2909*x^2 - 1228*x +
233

Placing the root at 6:  143
-33*x^7 + 264*x^6 - 918*x^5 + 1806*x^4 - 2184*x^3 + 1638*x^2 - 715*x +
143

Placing the root at 0:  39
-6*x^7 + 48*x^6 - 168*x^5 + 336*x^4 - 420*x^3 + 335*x^2 - 163*x + 39

Placing the root at 1:  30
-5*x^7 + 40*x^6 - 140*x^5 + 280*x^4 - 349*x^3 + 275*x^2 - 130*x + 30

Placing the root at 2:  105
-25*x^7 + 200*x^6 - 695*x^5 + 1365*x^4 - 1645*x^3 + 1226*x^2 - 530*x +
105

Placing the root at 4:  82
-18*x^7 + 144*x^6 - 501*x^5 + 987*x^4 - 1197*x^3 + 903*x^2 - 399*x + 82

Placing the root at 0:  21
-3*x^7 + 24*x^6 - 84*x^5 + 168*x^4 - 210*x^3 + 168*x^2 - 83*x + 21

Placing the root at 1:  101
-20*x^7 + 160*x^6 - 560*x^5 + 1116*x^4 - 1376*x^3 + 1060*x^2 - 480*x +
101

Placing the root at 2:  308
-81*x^7 + 648*x^6 - 2248*x^5 + 4396*x^4 - 5254*x^3 + 3860*x^2 - 1628*x +
308

Placing the root at 0:  52
-8*x^7 + 64*x^6 - 224*x^5 + 448*x^4 - 560*x^3 + 447*x^2 - 218*x + 52

Placing the root at 7:  190
-44*x^7 + 352*x^6 - 1224*x^5 + 2408*x^4 - 2912*x^3 + 2184*x^2 - 953*x +
190

Placing the root at 1:  58
-11*x^7 + 88*x^6 - 308*x^5 + 614*x^4 - 758*x^3 + 586*x^2 - 268*x + 58

Placing the root at 2:  185
-47*x^7 + 376*x^6 - 1305*x^5 + 2555*x^4 - 3061*x^3 + 2259*x^2 - 961*x +
185

Placing the root at 5:  109
-24*x^7 + 192*x^6 - 668*x^5 + 1316*x^4 - 1596*x^3 + 1204*x^2 - 532*x +
109

Placing the root at 0:  28
-4*x^7 + 32*x^6 - 112*x^5 + 224*x^4 - 280*x^3 + 224*x^2 - 111*x + 28

Placing the root at 1:  33
-6*x^7 + 48*x^6 - 168*x^5 + 335*x^4 - 414*x^3 + 321*x^2 - 148*x + 33

Placing the root at 2:  110
-27*x^7 + 216*x^6 - 750*x^5 + 1470*x^4 - 1765*x^3 + 1308*x^2 - 561*x +
110

Placing the root at 3:  62
-13*x^7 + 104*x^6 - 362*x^5 + 714*x^4 - 868*x^3 + 658*x^2 - 294*x + 62

Placing the root at 0:  15
-2*x^7 + 16*x^6 - 56*x^5 + 112*x^4 - 140*x^3 + 112*x^2 - 56*x + 15

Placing the root at 1:  35
-7*x^7 + 56*x^6 - 195*x^5 + 385*x^4 - 469*x^3 + 357*x^2 - 161*x + 35

Placing the root at 0:  8
-x^7 + 8*x^6 - 28*x^5 + 56*x^4 - 70*x^3 + 56*x^2 - 28*x + 8

Placing the root at 1:  1038
210*x^8 - 1890*x^7 + 7560*x^6 - 17612*x^5 + 26236*x^4 - 25700*x^3 +
16240*x^2 - 6081*x + 1038

Placing the root at 2:  1254
264*x^8 - 2376*x^7 + 9504*x^6 - 22134*x^5 + 32928*x^4 - 32144*x^3 +
20174*x^2 - 7469*x + 1254

Placing the root at 3:  1859
429*x^8 - 3861*x^7 + 15444*x^6 - 35904*x^5 + 53130*x^4 - 51324*x^3 +
31668*x^2 - 11440*x + 1859

Placing the root at 4:  4862
1430*x^8 - 12870*x^7 + 51051*x^6 - 116688*x^5 + 168300*x^4 - 157080*x^3
+ 92820*x^2 - 31824*x + 4862

Placing the root at 0:  980
196*x^8 - 1764*x^7 + 7056*x^6 - 16439*x^5 + 24496*x^4 - 24016*x^3 +
15204*x^2 - 5712*x + 980

Placing the root at 1:  702
140*x^8 - 1260*x^7 + 5040*x^6 - 11742*x^5 + 17496*x^4 - 17151*x^3 +
10857*x^2 - 4081*x + 702

Placing the root at 2:  864
180*x^8 - 1620*x^7 + 6480*x^6 - 15092*x^5 + 22456*x^4 - 21933*x^3 +
13783*x^2 - 5117*x + 864

Placing the root at 3:  1298
297*x^8 - 2673*x^7 + 10692*x^6 - 24858*x^5 + 36792*x^4 - 35560*x^3 +
21966*x^2 - 7953*x + 1298

Placing the root at 4:  3432
1001*x^8 - 9009*x^7 + 35739*x^6 - 81708*x^5 + 117900*x^4 - 110124*x^3 +
65156*x^2 - 22386*x + 3432

Placing the root at 5:  648
126*x^8 - 1134*x^7 + 4536*x^6 - 10570*x^5 + 15764*x^4 - 15489*x^3 +
9849*x^2 - 3729*x + 648

Placing the root at 6:  693
132*x^8 - 1188*x^7 + 4752*x^6 - 11088*x^5 + 16590*x^4 - 16380*x^3 +
10472*x^2 - 3982*x + 693

Placing the root at 7:  2123
561*x^8 - 5049*x^7 + 20064*x^6 - 46068*x^5 + 66990*x^4 - 63336*x^3 +
38136*x^2 - 13420*x + 2123

Placing the root at 0:  644
126*x^8 - 1134*x^7 + 4536*x^6 - 10569*x^5 + 15756*x^4 - 15467*x^3 +
9821*x^2 - 3712*x + 644

Placing the root at 1:  587
115*x^8 - 1035*x^7 + 4140*x^6 - 9646*x^5 + 14378*x^4 - 14109*x^3 +
8953*x^2 - 3382*x + 587

Placing the root at 0:  518
98*x^8 - 882*x^7 + 3528*x^6 - 8222*x^5 + 12268*x^4 - 12072*x^3 +
7705*x^2 - 2940*x + 518

Placing the root at 2:  738
152*x^8 - 1368*x^7 + 5472*x^6 - 12745*x^5 + 18968*x^4 - 18538*x^3 +
11667*x^2 - 4345*x + 738

Placing the root at 3:  1124
255*x^8 - 2295*x^7 + 9180*x^6 - 21344*x^5 + 31598*x^4 - 30557*x^3 +
18898*x^2 - 6858*x + 1124

Placing the root at 4:  3003
869*x^8 - 7821*x^7 + 31029*x^6 - 70956*x^5 + 102430*x^4 - 95746*x^3 +
56719*x^2 - 19526*x + 3003

Placing the root at 5:  474
84*x^8 - 756*x^7 + 3024*x^6 - 7056*x^5 + 10570*x^4 - 10486*x^3 +
6781*x^2 - 2634*x + 474

Placing the root at 6:  819
174*x^8 - 1566*x^7 + 6264*x^6 - 14574*x^5 + 21630*x^4 - 21042*x^3 +
13160*x^2 - 4864*x + 819

Placing the root at 7:  2333
645*x^8 - 5805*x^7 + 23046*x^6 - 52788*x^5 + 76440*x^4 - 71820*x^3 +
42882*x^2 - 14932*x + 2333

Placing the root at 8:  1548
390*x^8 - 3510*x^7 + 13956*x^6 - 32088*x^5 + 46788*x^4 - 44450*x^3 +
26978*x^2 - 9611*x + 1548

Placing the root at 1:  501
95*x^8 - 855*x^7 + 3420*x^6 - 7970*x^5 + 11890*x^4 - 11695*x^3 +
7459*x^2 - 2844*x + 501

Placing the root at 0:  406
70*x^8 - 630*x^7 + 2520*x^6 - 5880*x^5 + 8810*x^4 - 8750*x^3 + 5679*x^2
- 2224*x + 406

Placing the root at 2:  652
132*x^8 - 1188*x^7 + 4752*x^6 - 11069*x^5 + 16480*x^4 - 16124*x^3 +
10173*x^2 - 3807*x + 652

Placing the root at 3:  1012
227*x^8 - 2043*x^7 + 8172*x^6 - 19002*x^5 + 28140*x^4 - 27235*x^3 +
16872*x^2 - 6142*x + 1012

Placing the root at 4:  2739
785*x^8 - 7065*x^7 + 28033*x^6 - 64124*x^5 + 92620*x^4 - 86660*x^3 +
51417*x^2 - 17744*x + 2739

Placing the root at 5:  572
112*x^8 - 1008*x^7 + 4032*x^6 - 9394*x^5 + 14000*x^4 - 13734*x^3 +
8713*x^2 - 3292*x + 572

Placing the root at 6:  917
202*x^8 - 1818*x^7 + 7272*x^6 - 16912*x^5 + 25060*x^4 - 24290*x^3 +
15092*x^2 - 5522*x + 917

Placing the root at 7:  2529
715*x^8 - 6435*x^7 + 25538*x^6 - 58444*x^5 + 84490*x^4 - 79170*x^3 +
47082*x^2 - 16304*x + 2529

Placing the root at 8:  1360
336*x^8 - 3024*x^7 + 12026*x^6 - 27664*x^5 + 40376*x^4 - 38426*x^3 +
23394*x^2 - 8377*x + 1360

Placing the root at 1:  308
56*x^8 - 504*x^7 + 2016*x^6 - 4699*x^5 + 7016*x^4 - 6918*x^3 + 4438*x^2
- 1712*x + 308

Placing the root at 2:  258
42*x^8 - 378*x^7 + 1512*x^6 - 3528*x^5 + 5292*x^4 - 5278*x^3 + 3458*x^2
- 1377*x + 258

Placing the root at 3:  903
216*x^8 - 1944*x^7 + 7734*x^6 - 17808*x^5 + 26040*x^4 - 24864*x^3 +
15218*x^2 - 5494*x + 903

Placing the root at 0:  366
70*x^8 - 630*x^7 + 2520*x^6 - 5872*x^5 + 8756*x^4 - 8602*x^3 + 5474*x^2
- 2081*x + 366

Placing the root at 6:  474
96*x^8 - 864*x^7 + 3456*x^6 - 8050*x^5 + 11984*x^4 - 11722*x^3 +
7392*x^2 - 2765*x + 474

Placing the root at 7:  737
165*x^8 - 1485*x^7 + 5940*x^6 - 13812*x^5 + 20454*x^4 - 19796*x^3 +
12264*x^2 - 4466*x + 737

Placing the root at 8:  2002
572*x^8 - 5148*x^7 + 20427*x^6 - 46728*x^5 + 67500*x^4 - 63168*x^3 +
37492*x^2 - 12948*x + 2002

Placing the root at 1:  252
42*x^8 - 378*x^7 + 1512*x^6 - 3528*x^5 + 5287*x^4 - 5257*x^3 + 3425*x^2
- 1354*x + 252

Placing the root at 2:  314
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7042*x^4 - 6972*x^3 + 4494*x^2
- 1741*x + 314

Placing the root at 3:  1029
258*x^8 - 2322*x^7 + 9232*x^6 - 21224*x^5 + 30940*x^4 - 29386*x^3 +
17836*x^2 - 6362*x + 1029

Placing the root at 0:  323
60*x^8 - 540*x^7 + 2160*x^6 - 5034*x^5 + 7512*x^4 - 7395*x^3 + 4727*x^2
- 1812*x + 323

Placing the root at 5:  872
210*x^8 - 1890*x^7 + 7518*x^6 - 17304*x^5 + 25284*x^4 - 24113*x^3 +
14735*x^2 - 5311*x + 872

Placing the root at 6:  431
86*x^8 - 774*x^7 + 3096*x^6 - 7212*x^5 + 10740*x^4 - 10515*x^3 +
6645*x^2 - 2496*x + 431

Placing the root at 7:  681
151*x^8 - 1359*x^7 + 5436*x^6 - 12641*x^5 + 18725*x^4 - 18135*x^3 +
11251*x^2 - 4108*x + 681

Placing the root at 8:  1870
530*x^8 - 4770*x^7 + 18929*x^6 - 43312*x^5 + 62595*x^4 - 58625*x^3 +
34841*x^2 - 12057*x + 1870

Placing the root at 1:  438
84*x^8 - 756*x^7 + 3024*x^6 - 7047*x^5 + 10512*x^4 - 10335*x^3 +
6582*x^2 - 2501*x + 438

Placing the root at 2:  477
90*x^8 - 810*x^7 + 3240*x^6 - 7560*x^5 + 11312*x^4 - 11172*x^3 +
7149*x^2 - 2725*x + 477

Placing the root at 3:  1478
387*x^8 - 3483*x^7 + 13842*x^6 - 31788*x^5 + 46242*x^4 - 43750*x^3 +
26376*x^2 - 9303*x + 1478

Placing the root at 0:  423
81*x^8 - 729*x^7 + 2916*x^6 - 6795*x^5 + 10134*x^4 - 9960*x^3 + 6342*x^2
- 2411*x + 423

Placing the root at 1:  366
69*x^8 - 621*x^7 + 2484*x^6 - 5789*x^5 + 8638*x^4 - 8500*x^3 + 5425*x^2
- 2071*x + 366

Placing the root at 2:  407
76*x^8 - 684*x^7 + 2736*x^6 - 6384*x^5 + 9553*x^4 - 9438*x^3 + 6046*x^2
- 2311*x + 407

Placing the root at 3:  1276
331*x^8 - 2979*x^7 + 11840*x^6 - 27196*x^5 + 39578*x^4 - 37473*x^3 +
22622*x^2 - 7998*x + 1276

Placing the root at 0:  340
63*x^8 - 567*x^7 + 2268*x^6 - 5286*x^5 + 7890*x^4 - 7772*x^3 + 4973*x^2
- 1908*x + 340

Placing the root at 5:  320
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7047*x^4 - 6993*x^3 + 4527*x^2
- 1764*x + 320

Placing the root at 6:  561
118*x^8 - 1062*x^7 + 4248*x^6 - 9884*x^5 + 14672*x^4 - 14280*x^3 +
8941*x^2 - 3313*x + 561

Placing the root at 7:  1618
443*x^8 - 3987*x^7 + 15830*x^6 - 36268*x^5 + 52542*x^4 - 49406*x^3 +
29540*x^2 - 10311*x + 1618

Placing the root at 8:  1060
264*x^8 - 2376*x^7 + 9448*x^6 - 21728*x^5 + 31696*x^4 - 30137*x^3 +
18319*x^2 - 6545*x + 1060

Placing the root at 1:  312
57*x^8 - 513*x^7 + 2052*x^6 - 4783*x^5 + 7142*x^4 - 7042*x^3 + 4515*x^2
- 1739*x + 312

Placing the root at 2:  359
66*x^8 - 594*x^7 + 2376*x^6 - 5544*x^5 + 8297*x^4 - 8202*x^3 + 5264*x^2
- 2021*x + 359

Placing the root at 3:  1144
293*x^8 - 2637*x^7 + 10482*x^6 - 24084*x^5 + 35070*x^4 - 33241*x^3 +
20106*x^2 - 7132*x + 1144

Placing the root at 0:  266
45*x^8 - 405*x^7 + 1620*x^6 - 3780*x^5 + 5664*x^4 - 5628*x^3 + 3659*x^2
- 1440*x + 266

Placing the root at 5:  383
74*x^8 - 666*x^7 + 2664*x^6 - 6207*x^5 + 9252*x^4 - 9081*x^3 + 5769*x^2
- 2187*x + 383

Placing the root at 6:  624
136*x^8 - 1224*x^7 + 4896*x^6 - 11387*x^5 + 16877*x^4 - 16368*x^3 +
10183*x^2 - 3736*x + 624

Placing the root at 7:  1744
488*x^8 - 4392*x^7 + 17432*x^6 - 39904*x^5 + 57717*x^4 - 54131*x^3 +
32240*x^2 - 11193*x + 1744

Placing the root at 8:  909
221*x^8 - 1989*x^7 + 7911*x^6 - 18204*x^5 + 26586*x^4 - 25332*x^3 +
15456*x^2 - 5557*x + 909

Placing the root at 1:  228
42*x^8 - 378*x^7 + 1512*x^6 - 3524*x^5 + 5260*x^4 - 5181*x^3 + 3315*x^2
- 1273*x + 228

Placing the root at 2:  261
48*x^8 - 432*x^7 + 1728*x^6 - 4032*x^5 + 6034*x^4 - 5964*x^3 + 3826*x^2
- 1468*x + 261

Placing the root at 3:  833
213*x^8 - 1917*x^7 + 7620*x^6 - 17508*x^5 + 25494*x^4 - 24164*x^3 +
14616*x^2 - 5186*x + 833

Placing the root at 5:  174
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3528*x^4 - 3519*x^3 + 2307*x^2
- 921*x + 174

Placing the root at 6:  617
146*x^8 - 1314*x^7 + 5228*x^6 - 12040*x^5 + 17612*x^4 - 16828*x^3 +
10313*x^2 - 3733*x + 617

Placing the root at 0:  202
36*x^8 - 324*x^7 + 1296*x^6 - 3021*x^5 + 4512*x^4 - 4453*x^3 + 2863*x^2
- 1110*x + 202

Placing the root at 1:  201
36*x^8 - 324*x^7 + 1296*x^6 - 3021*x^5 + 4512*x^4 - 4452*x^3 + 2860*x^2
- 1107*x + 201

Placing the root at 2:  237
43*x^8 - 387*x^7 + 1548*x^6 - 3612*x^5 + 5406*x^4 - 5346*x^3 + 3435*x^2
- 1323*x + 237

Placing the root at 3:  767
194*x^8 - 1746*x^7 + 6941*x^6 - 15952*x^5 + 23240*x^4 - 22048*x^3 +
13358*x^2 - 4753*x + 767

Placing the root at 5:  210
37*x^8 - 333*x^7 + 1332*x^6 - 3108*x^5 + 4653*x^4 - 4608*x^3 + 2973*x^2
- 1155*x + 210

Placing the root at 6:  698
173*x^8 - 1557*x^7 + 6191*x^6 - 14236*x^5 + 20762*x^4 - 19735*x^3 +
11996*x^2 - 4291*x + 698

Placing the root at 0:  165
27*x^8 - 243*x^7 + 972*x^6 - 2268*x^5 + 3399*x^4 - 3381*x^3 + 2206*x^2 -
876*x + 165

Placing the root at 8:  582
138*x^8 - 1242*x^7 + 4941*x^6 - 11376*x^5 + 16632*x^4 - 15879*x^3 +
9723*x^2 - 3518*x + 582

Placing the root at 1:  267
48*x^8 - 432*x^7 + 1728*x^6 - 4028*x^5 + 6016*x^4 - 5936*x^3 + 3813*x^2
- 1475*x + 267

Placing the root at 2:  313
57*x^8 - 513*x^7 + 2052*x^6 - 4788*x^5 + 7166*x^4 - 7086*x^3 + 4552*x^2
- 1752*x + 313

Placing the root at 3:  1008
256*x^8 - 2304*x^7 + 9159*x^6 - 21048*x^5 + 30660*x^4 - 29080*x^3 +
17610*x^2 - 6260*x + 1008

Placing the root at 5:  410
83*x^8 - 747*x^7 + 2988*x^6 - 6954*x^5 + 10332*x^4 - 10080*x^3 +
6345*x^2 - 2376*x + 410

Placing the root at 6:  1231
327*x^8 - 2943*x^7 + 11689*x^6 - 26804*x^5 + 38896*x^4 - 36680*x^3 +
22036*x^2 - 7751*x + 1231

Placing the root at 0:  220
36*x^8 - 324*x^7 + 1296*x^6 - 3024*x^5 + 4533*x^4 - 4512*x^3 + 2947*x^2
- 1171*x + 220

Placing the root at 1:  156
27*x^8 - 243*x^7 + 972*x^6 - 2266*x^5 + 3386*x^4 - 3346*x^3 + 2158*x^2 -
843*x + 156

Placing the root at 2:  191
34*x^8 - 306*x^7 + 1224*x^6 - 2856*x^5 + 4275*x^4 - 4230*x^3 + 2723*x^2
- 1054*x + 191

Placing the root at 3:  631
157*x^8 - 1413*x^7 + 5618*x^6 - 12916*x^5 + 18830*x^4 - 17887*x^3 +
10862*x^2 - 3881*x + 631

Placing the root at 5:  237
46*x^8 - 414*x^7 + 1656*x^6 - 3855*x^5 + 5733*x^4 - 5607*x^3 + 3549*x^2
- 1344*x + 237

Placing the root at 6:  743
191*x^8 - 1719*x^7 + 6830*x^6 - 15676*x^5 + 22787*x^4 - 21553*x^3 +
13013*x^2 - 4615*x + 743

Placing the root at 7:  446
101*x^8 - 909*x^7 + 3618*x^6 - 8340*x^5 + 12222*x^4 - 11718*x^3 +
7227*x^2 - 2646*x + 446

Placing the root at 0:  119
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2268*x^4 - 2265*x^3 + 1494*x^2 -
607*x + 119

Placing the root at 1:  336
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7051*x^4 - 7016*x^3 + 4576*x^2
- 1810*x + 336

Placing the root at 2:  614
126*x^8 - 1134*x^7 + 4536*x^6 - 10556*x^5 + 15680*x^4 - 15288*x^3 +
9609*x^2 - 3586*x + 614

Placing the root at 3:  1814
488*x^8 - 4392*x^7 + 17442*x^6 - 39984*x^5 + 57988*x^4 - 54628*x^3 +
32760*x^2 - 11487*x + 1814

Placing the root at 0:  429
80*x^8 - 720*x^7 + 2880*x^6 - 6712*x^5 + 10016*x^4 - 9860*x^3 + 6302*x^2
- 2414*x + 429

Placing the root at 6:  569
114*x^8 - 1026*x^7 + 4104*x^6 - 9560*x^5 + 14236*x^4 - 13936*x^3 +
8804*x^2 - 3304*x + 569

Placing the root at 7:  894
199*x^8 - 1791*x^7 + 7164*x^6 - 16659*x^5 + 24675*x^4 - 23893*x^3 +
14817*x^2 - 5405*x + 894

Placing the root at 8:  2442
695*x^8 - 6255*x^7 + 24821*x^6 - 56788*x^5 + 82055*x^4 - 76825*x^3 +
45631*x^2 - 15775*x + 2442

Placing the root at 1:  182
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3528*x^4 - 3523*x^3 + 2322*x^2
- 940*x + 182

Placing the root at 2:  356
70*x^8 - 630*x^7 + 2520*x^6 - 5866*x^5 + 8722*x^4 - 8526*x^3 + 5390*x^2
- 2035*x + 356

Placing the root at 3:  1099
286*x^8 - 2574*x^7 + 10226*x^6 - 23464*x^5 + 34090*x^4 - 32214*x^3 +
19418*x^2 - 6866*x + 1099

Placing the root at 4:  670
154*x^8 - 1386*x^7 + 5516*x^6 - 12712*x^5 + 18620*x^4 - 17836*x^3 +
10981*x^2 - 4006*x + 670

Placing the root at 0:  251
45*x^8 - 405*x^7 + 1620*x^6 - 3776*x^5 + 5638*x^4 - 5560*x^3 + 3570*x^2
- 1382*x + 251

Placing the root at 6:  348
68*x^8 - 612*x^7 + 2448*x^6 - 5703*x^5 + 8496*x^4 - 8327*x^3 + 5276*x^2
- 1993*x + 348

Placing the root at 7:  563
123*x^8 - 1107*x^7 + 4428*x^6 - 10298*x^5 + 15260*x^4 - 14793*x^3 +
9196*x^2 - 3371*x + 563

Placing the root at 8:  1573
440*x^8 - 3960*x^7 + 15717*x^6 - 35976*x^5 + 52030*x^4 - 48790*x^3 +
29055*x^2 - 10088*x + 1573

Placing the root at 1:  267
46*x^8 - 414*x^7 + 1656*x^6 - 3864*x^5 + 5789*x^4 - 5747*x^3 + 3726*x^2
- 1458*x + 267

Placing the root at 2:  476
99*x^8 - 891*x^7 + 3564*x^6 - 8293*x^5 + 12313*x^4 - 11991*x^3 +
7518*x^2 - 2794*x + 476

Placing the root at 3:  1391
377*x^8 - 3393*x^7 + 13473*x^6 - 30876*x^5 + 44753*x^4 - 42119*x^3 +
25221*x^2 - 8826*x + 1391

Placing the root at 4:  899
221*x^8 - 1989*x^7 + 7910*x^6 - 18196*x^5 + 26558*x^4 - 25277*x^3 +
15393*x^2 - 5518*x + 899

Placing the root at 0:  273
49*x^8 - 441*x^7 + 1764*x^6 - 4112*x^5 + 6142*x^4 - 6062*x^3 + 3896*x^2
- 1508*x + 273

Placing the root at 1:  227
38*x^8 - 342*x^7 + 1368*x^6 - 3192*x^5 + 4783*x^4 - 4753*x^3 + 3092*x^2
- 1220*x + 227

Placing the root at 0:  213
35*x^8 - 315*x^7 + 1260*x^6 - 2940*x^5 + 4406*x^4 - 4382*x^3 + 2858*x^2
- 1134*x + 213

Placing the root at 2:  416
85*x^8 - 765*x^7 + 3060*x^6 - 7121*x^5 + 10577*x^4 - 10311*x^3 +
6480*x^2 - 2420*x + 416

Placing the root at 3:  1239
331*x^8 - 2979*x^7 + 11831*x^6 - 27124*x^5 + 39345*x^4 - 37079*x^3 +
22253*x^2 - 7816*x + 1239

Placing the root at 4:  785
189*x^8 - 1701*x^7 + 6766*x^6 - 15572*x^5 + 22750*x^4 - 21691*x^3 +
13251*x^2 - 4776*x + 785

Placing the root at 5:  316
60*x^8 - 540*x^7 + 2160*x^6 - 5033*x^5 + 7504*x^4 - 7371*x^3 + 4692*x^2
- 1787*x + 316

Placing the root at 6:  525
113*x^8 - 1017*x^7 + 4068*x^6 - 9462*x^5 + 14028*x^4 - 13615*x^3 +
8484*x^2 - 3123*x + 525

Placing the root at 7:  1489
412*x^8 - 3708*x^7 + 14719*x^6 - 33704*x^5 + 48778*x^4 - 45794*x^3 +
27321*x^2 - 9512*x + 1489

Placing the root at 8:  748
178*x^8 - 1602*x^7 + 6373*x^6 - 14672*x^5 + 21448*x^4 - 20472*x^3 +
12530*x^2 - 4530*x + 748

Placing the root at 1:  166
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3524*x^4 - 3500*x^3 + 2273*x^2
- 894*x + 166

Placing the root at 2:  303
62*x^8 - 558*x^7 + 2232*x^6 - 5194*x^5 + 7714*x^4 - 7518*x^3 + 4722*x^2
- 1762*x + 303

Placing the root at 3:  903
241*x^8 - 2169*x^7 + 8614*x^6 - 19748*x^5 + 28644*x^4 - 26992*x^3 +
16198*x^2 - 5690*x + 903

Placing the root at 4:  572
138*x^8 - 1242*x^7 + 4940*x^6 - 11368*x^5 + 16604*x^4 - 15824*x^3 +
9660*x^2 - 3479*x + 572

Placing the root at 5:  145
23*x^8 - 207*x^7 + 828*x^6 - 1932*x^5 + 2898*x^4 - 2891*x^3 + 1897*x^2 -
760*x + 145

Placing the root at 6:  522
122*x^8 - 1098*x^7 + 4369*x^6 - 10064*x^5 + 14728*x^4 - 14084*x^3 +
8645*x^2 - 3139*x + 522

Placing the root at 0:  162
28*x^8 - 252*x^7 + 1008*x^6 - 2350*x^5 + 3512*x^4 - 3472*x^3 + 2241*x^2
- 876*x + 162

Placing the root at 1:  146
24*x^8 - 216*x^7 + 864*x^6 - 2016*x^5 + 3021*x^4 - 3003*x^3 + 1956*x^2 -
775*x + 146

Placing the root at 2:  273
55*x^8 - 495*x^7 + 1980*x^6 - 4608*x^5 + 6846*x^4 - 6678*x^3 + 4203*x^2
- 1575*x + 273

Placing the root at 3:  827
218*x^8 - 1962*x^7 + 7793*x^6 - 17872*x^5 + 25940*x^4 - 24472*x^3 +
14714*x^2 - 5185*x + 827

Placing the root at 4:  515
122*x^8 - 1098*x^7 + 4368*x^6 - 10056*x^5 + 14700*x^4 - 14031*x^3 +
8589*x^2 - 3108*x + 515

Placing the root at 5:  173
30*x^8 - 270*x^7 + 1080*x^6 - 2520*x^5 + 3773*x^4 - 3738*x^3 + 2415*x^2
- 942*x + 173

Placing the root at 6:  585
143*x^8 - 1287*x^7 + 5118*x^6 - 11772*x^5 + 17178*x^4 - 16345*x^3 +
9954*x^2 - 3573*x + 585

Placing the root at 0:  132
21*x^8 - 189*x^7 + 756*x^6 - 1764*x^5 + 2644*x^4 - 2632*x^3 + 1722*x^2 -
689*x + 132

Placing the root at 8:  478
111*x^8 - 999*x^7 + 3975*x^6 - 9156*x^5 + 13398*x^4 - 12812*x^3 +
7868*x^2 - 2862*x + 478

Placing the root at 1:  194
32*x^8 - 288*x^7 + 1152*x^6 - 2688*x^5 + 4028*x^4 - 4004*x^3 + 2608*x^2
- 1033*x + 194

Placing the root at 2:  361
73*x^8 - 657*x^7 + 2628*x^6 - 6116*x^5 + 9086*x^4 - 8862*x^3 + 5576*x^2
- 2088*x + 361

Placing the root at 3:  1088
288*x^8 - 2592*x^7 + 10295*x^6 - 23608*x^5 + 34260*x^4 - 32312*x^3 +
19418*x^2 - 6836*x + 1088

Placing the root at 4:  681
162*x^8 - 1458*x^7 + 5800*x^6 - 13352*x^5 + 19516*x^4 - 18624*x^3 +
11396*x^2 - 4120*x + 681

Placing the root at 5:  337
67*x^8 - 603*x^7 + 2412*x^6 - 5614*x^5 + 8344*x^4 - 8148*x^3 + 5140*x^2
- 1934*x + 337

Placing the root at 6:  1032
270*x^8 - 2430*x^7 + 9653*x^6 - 22144*x^5 + 32158*x^4 - 30366*x^3 +
18284*x^2 - 6456*x + 1032

Placing the root at 0:  176
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3526*x^4 - 3512*x^3 + 2300*x^2
- 921*x + 176

Placing the root at 1:  113
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2266*x^4 - 2254*x^3 + 1472*x^2 -
588*x + 113

Placing the root at 2:  218
43*x^8 - 387*x^7 + 1548*x^6 - 3603*x^5 + 5355*x^4 - 5229*x^3 + 3299*x^2
- 1243*x + 218

Placing the root at 3:  676
175*x^8 - 1575*x^7 + 6257*x^6 - 14356*x^5 + 20855*x^4 - 19705*x^3 +
11879*x^2 - 4205*x + 676

Placing the root at 4:  411
95*x^8 - 855*x^7 + 3402*x^6 - 7836*x^5 + 11466*x^4 - 10964*x^3 +
6734*x^2 - 2452*x + 411

Placing the root at 5:  194
37*x^8 - 333*x^7 + 1332*x^6 - 3101*x^5 + 4613*x^4 - 4515*x^3 + 2863*x^2
- 1089*x + 194

Placing the root at 6:  620
157*x^8 - 1413*x^7 + 5615*x^6 - 12892*x^5 + 18753*x^4 - 17759*x^3 +
10745*x^2 - 3825*x + 620

Placing the root at 7:  365
81*x^8 - 729*x^7 + 2902*x^6 - 6692*x^5 + 9814*x^4 - 9422*x^3 + 5826*x^2
- 2144*x + 365

Placing the root at 0:  95
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1762*x^3 + 1164*x^2 -
476*x + 95

Placing the root at 1:  451
86*x^8 - 774*x^7 + 3096*x^6 - 7214*x^5 + 10756*x^4 - 10566*x^3 +
6726*x^2 - 2560*x + 451

Placing the root at 2:  744
161*x^8 - 1449*x^7 + 5796*x^6 - 13481*x^5 + 19985*x^4 - 19393*x^3 +
12079*x^2 - 4441*x + 744

Placing the root at 3:  2094
583*x^8 - 5247*x^7 + 20827*x^6 - 47684*x^5 + 68993*x^4 - 64743*x^3 +
38595*x^2 - 13417*x + 2094

Placing the root at 0:  305
50*x^8 - 450*x^7 + 1800*x^6 - 4200*x^5 + 6296*x^4 - 6268*x^3 + 4096*x^2
- 1628*x + 305

Placing the root at 7:  566
115*x^8 - 1035*x^7 + 4140*x^6 - 9635*x^5 + 14315*x^4 - 13965*x^3 +
8789*x^2 - 3289*x + 566

Placing the root at 8:  1690
451*x^8 - 4059*x^7 + 16121*x^6 - 36964*x^5 + 53631*x^4 - 50561*x^3 +
30359*x^2 - 10667*x + 1690

Placing the root at 1:  262
48*x^8 - 432*x^7 + 1728*x^6 - 4027*x^5 + 6008*x^4 - 5913*x^3 + 3782*x^2
- 1455*x + 262

Placing the root at 2:  451
95*x^8 - 855*x^7 + 3420*x^6 - 7956*x^5 + 11802*x^4 - 11471*x^3 +
7170*x^2 - 2655*x + 451

Placing the root at 3:  1309
356*x^8 - 3204*x^7 + 12721*x^6 - 29144*x^5 + 42220*x^4 - 39704*x^3 +
23753*x^2 - 8306*x + 1309

Placing the root at 7:  616
140*x^8 - 1260*x^7 + 5015*x^6 - 11560*x^5 + 16940*x^4 - 16240*x^3 +
10014*x^2 - 3664*x + 616

Placing the root at 0:  165
25*x^8 - 225*x^7 + 900*x^6 - 2100*x^5 + 3150*x^4 - 3146*x^3 + 2076*x^2 -
844*x + 165

Placing the root at 1:  210
40*x^8 - 360*x^7 + 1440*x^6 - 3355*x^5 + 5000*x^4 - 4906*x^3 + 3117*x^2
- 1185*x + 210

Placing the root at 2:  350
75*x^8 - 675*x^7 + 2700*x^6 - 6280*x^5 + 9310*x^4 - 9035*x^3 + 5630*x^2
- 2074*x + 350

Placing the root at 3:  1001
275*x^8 - 2475*x^7 + 9825*x^6 - 22500*x^5 + 32570*x^4 - 30590*x^3 +
18265*x^2 - 6370*x + 1001

Placing the root at 4:  98
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1764*x^3 + 1171*x^2 -
484*x + 98

Placing the root at 5:  384
84*x^8 - 756*x^7 + 3010*x^6 - 6944*x^5 + 10192*x^4 - 9800*x^3 + 6076*x^2
- 2245*x + 384

Placing the root at 0:  145
25*x^8 - 225*x^7 + 900*x^6 - 2098*x^5 + 3134*x^4 - 3095*x^3 + 1995*x^2 -
780*x + 145

Placing the root at 1:  194
36*x^8 - 324*x^7 + 1296*x^6 - 3020*x^5 + 4504*x^4 - 4428*x^3 + 2825*x^2
- 1082*x + 194

Placing the root at 2:  331
70*x^8 - 630*x^7 + 2520*x^6 - 5862*x^5 + 8694*x^4 - 8446*x^3 + 5274*x^2
- 1950*x + 331

Placing the root at 3:  959
261*x^8 - 2349*x^7 + 9326*x^6 - 21364*x^5 + 30944*x^4 - 29092*x^3 +
17398*x^2 - 6082*x + 959

Placing the root at 4:  123
19*x^8 - 171*x^7 + 684*x^6 - 1596*x^5 + 2394*x^4 - 2389*x^3 + 1571*x^2 -
634*x + 123

Placing the root at 5:  454
104*x^8 - 936*x^7 + 3725*x^6 - 8584*x^5 + 12572*x^4 - 12040*x^3 +
7411*x^2 - 2705*x + 454

Placing the root at 0:  126
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2518*x^4 - 2506*x^3 + 1639*x^2 -
656*x + 126

Placing the root at 8:  458
106*x^8 - 954*x^7 + 3796*x^6 - 8744*x^5 + 12796*x^4 - 12238*x^3 +
7518*x^2 - 2737*x + 458

Placing the root at 1:  289
54*x^8 - 486*x^7 + 1944*x^6 - 4530*x^5 + 6756*x^4 - 6642*x^3 + 4237*x^2
- 1621*x + 289

Placing the root at 2:  488
104*x^8 - 936*x^7 + 3744*x^6 - 8709*x^5 + 12915*x^4 - 12543*x^3 +
7827*x^2 - 2889*x + 488

Placing the root at 3:  1399
384*x^8 - 3456*x^7 + 13720*x^6 - 31424*x^5 + 45499*x^4 - 42749*x^3 +
25537*x^2 - 8909*x + 1399

Placing the root at 4:  247
43*x^8 - 387*x^7 + 1548*x^6 - 3612*x^5 + 5408*x^4 - 5358*x^3 + 3462*x^2
- 1350*x + 247

Placing the root at 5:  830
204*x^8 - 1836*x^7 + 7301*x^6 - 16792*x^5 + 24500*x^4 - 23306*x^3 +
14186*x^2 - 5086*x + 830

Placing the root at 0:  189
30*x^8 - 270*x^7 + 1080*x^6 - 2520*x^5 + 3778*x^4 - 3764*x^3 + 2467*x^2
- 989*x + 189

Placing the root at 7:  362
72*x^8 - 648*x^7 + 2592*x^6 - 6033*x^5 + 8967*x^4 - 8757*x^3 + 5525*x^2
- 2079*x + 362

Placing the root at 8:  1107
290*x^8 - 2610*x^7 + 10368*x^6 - 23784*x^5 + 34539*x^4 - 32613*x^3 +
19635*x^2 - 6931*x + 1107

Placing the root at 1:  167
30*x^8 - 270*x^7 + 1080*x^6 - 2517*x^5 + 3756*x^4 - 3699*x^3 + 2370*x^2
- 916*x + 167

Placing the root at 2:  294
61*x^8 - 549*x^7 + 2196*x^6 - 5109*x^5 + 7581*x^4 - 7374*x^3 + 4617*x^2
- 1716*x + 294

Placing the root at 3:  869
233*x^8 - 2097*x^7 + 8327*x^6 - 19084*x^5 + 27665*x^4 - 26047*x^3 +
15614*x^2 - 5479*x + 869

Placing the root at 4:  143
24*x^8 - 216*x^7 + 864*x^6 - 2016*x^5 + 3019*x^4 - 2994*x^3 + 1941*x^2 -
764*x + 143

Placing the root at 5:  499
119*x^8 - 1071*x^7 + 4260*x^6 - 9804*x^5 + 14322*x^4 - 13655*x^3 +
8346*x^2 - 3015*x + 499

Placing the root at 7:  392
87*x^8 - 783*x^7 + 3117*x^6 - 7188*x^5 + 10542*x^4 - 10122*x^3 +
6260*x^2 - 2304*x + 392

Placing the root at 0:  102
15*x^8 - 135*x^7 + 540*x^6 - 1260*x^5 + 1890*x^4 - 1888*x^3 + 1248*x^2 -
511*x + 102

Placing the root at 1:  222
40*x^8 - 360*x^7 + 1440*x^6 - 3356*x^5 + 5008*x^4 - 4932*x^3 + 3160*x^2
- 1221*x + 222

Placing the root at 2:  389
81*x^8 - 729*x^7 + 2916*x^6 - 6784*x^5 + 10066*x^4 - 9790*x^3 + 6128*x^2
- 2276*x + 389

Placing the root at 3:  1144
308*x^8 - 2772*x^7 + 11007*x^6 - 25224*x^5 + 36560*x^4 - 34412*x^3 +
20618*x^2 - 7228*x + 1144

Placing the root at 4:  277
53*x^8 - 477*x^7 + 1908*x^6 - 4442*x^5 + 6608*x^4 - 6468*x^3 + 4102*x^2
- 1560*x + 277

Placing the root at 5:  880
224*x^8 - 2016*x^7 + 8011*x^6 - 18392*x^5 + 26750*x^4 - 25326*x^3 +
15316*x^2 - 5446*x + 880

Placing the root at 0:  136
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2520*x^4 - 2518*x^3 + 1666*x^2 -
683*x + 136

Placing the root at 8:  521
116*x^8 - 1044*x^7 + 4156*x^6 - 9584*x^5 + 14056*x^4 - 13496*x^3 +
8346*x^2 - 3070*x + 521

Placing the root at 1:  127
22*x^8 - 198*x^7 + 792*x^6 - 1846*x^5 + 2756*x^4 - 2718*x^3 + 1748*x^2 -
682*x + 127

Placing the root at 2:  232
47*x^8 - 423*x^7 + 1692*x^6 - 3937*x^5 + 5845*x^4 - 5693*x^3 + 3575*x^2
- 1337*x + 232

Placing the root at 3:  704
185*x^8 - 1665*x^7 + 6613*x^6 - 15164*x^5 + 22005*x^4 - 20755*x^3 +
12479*x^2 - 4401*x + 704

Placing the root at 4:  158
29*x^8 - 261*x^7 + 1044*x^6 - 2431*x^5 + 3619*x^4 - 3549*x^3 + 2261*x^2
- 869*x + 158

Placing the root at 5:  524
129*x^8 - 1161*x^7 + 4615*x^6 - 10604*x^5 + 15447*x^4 - 14665*x^3 +
8911*x^2 - 3195*x + 524

Placing the root at 6:  297
63*x^8 - 567*x^7 + 2258*x^6 - 5212*x^5 + 7658*x^4 - 7378*x^3 + 4592*x^2
- 1710*x + 297

Placing the root at 0:  73
10*x^8 - 90*x^7 + 360*x^6 - 840*x^5 + 1260*x^4 - 1260*x^3 + 838*x^2 -
350*x + 73

Placing the root at 1:  39
5*x^8 - 45*x^7 + 180*x^6 - 420*x^5 + 630*x^4 - 630*x^3 + 420*x^2 - 178*x
+ 39

Placing the root at 2:  168
34*x^8 - 306*x^7 + 1219*x^6 - 2816*x^5 + 4144*x^4 - 4004*x^3 + 2506*x^2
- 944*x + 168

Placing the root at 0:  72
12*x^8 - 108*x^7 + 432*x^6 - 1007*x^5 + 1504*x^4 - 1485*x^3 + 958*x^2 -
377*x + 72

Placing the root at 7:  137
27*x^8 - 243*x^7 + 972*x^6 - 2262*x^5 + 3360*x^4 - 3277*x^3 + 2064*x^2 -
777*x + 137

Placing the root at 8:  429
110*x^8 - 990*x^7 + 3933*x^6 - 9024*x^5 + 13110*x^4 - 12390*x^3 +
7475*x^2 - 2652*x + 429

Placing the root at 1:  64
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1134*x^3 + 753*x^2 -
312*x + 64

Placing the root at 2:  255
55*x^8 - 495*x^7 + 1971*x^6 - 4548*x^5 + 6678*x^4 - 6426*x^3 + 3990*x^2
- 1479*x + 255

Placing the root at 6:  115
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2515*x^4 - 2490*x^3 + 1606*x^2 -
625*x + 115

Placing the root at 7:  390
95*x^8 - 855*x^7 + 3400*x^6 - 7820*x^5 + 11410*x^4 - 10855*x^3 +
6610*x^2 - 2374*x + 390

Placing the root at 0:  90
15*x^8 - 135*x^7 + 540*x^6 - 1259*x^5 + 1882*x^4 - 1862*x^3 + 1205*x^2 -
475*x + 90

Placing the root at 1:  51
7*x^8 - 63*x^7 + 252*x^6 - 588*x^5 + 882*x^4 - 882*x^3 + 586*x^2 - 244*x
+ 51

Placing the root at 2:  208
44*x^8 - 396*x^7 + 1577*x^6 - 3640*x^5 + 5348*x^4 - 5152*x^3 + 3206*x^2
- 1194*x + 208

Placing the root at 0:  65
10*x^8 - 90*x^7 + 360*x^6 - 840*x^5 + 1259*x^4 - 1253*x^3 + 820*x^2 -
330*x + 65

Placing the root at 6:  130
25*x^8 - 225*x^7 + 900*x^6 - 2095*x^5 + 3115*x^4 - 3045*x^3 + 1926*x^2 -
730*x + 130

Placing the root at 7:  415
105*x^8 - 945*x^7 + 3755*x^6 - 8620*x^5 + 12535*x^4 - 11865*x^3 +
7175*x^2 - 2554*x + 415

Placing the root at 8:  245
55*x^8 - 495*x^7 + 1970*x^6 - 4540*x^5 + 6650*x^4 - 6371*x^3 + 3927*x^2
- 1440*x + 245

Placing the root at 1:  90
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1760*x^3 + 1156*x^2 -
465*x + 90

Placing the root at 2:  331
76*x^8 - 684*x^7 + 2722*x^6 - 6272*x^5 + 9184*x^4 - 8792*x^3 + 5408*x^2
- 1972*x + 331

Placing the root at 0:  96
16*x^8 - 144*x^7 + 576*x^6 - 1343*x^5 + 2008*x^4 - 1988*x^3 + 1288*x^2 -
508*x + 96

Placing the root at 1:  79
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1512*x^4 - 1509*x^3 + 993*x^2 -
402*x + 79

Placing the root at 2:  297
67*x^8 - 603*x^7 + 2400*x^6 - 5532*x^5 + 8106*x^4 - 7770*x^3 + 4791*x^2
- 1755*x + 297

Placing the root at 5:  106
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2264*x^4 - 2244*x^3 + 1452*x^2 -
569*x + 106

Placing the root at 6:  367
88*x^8 - 792*x^7 + 3150*x^6 - 7248*x^5 + 10584*x^4 - 10084*x^3 +
6156*x^2 - 2220*x + 367

Placing the root at 0:  78
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1511*x^4 - 1505*x^3 + 987*x^2 -
398*x + 78

Placing the root at 8:  292
66*x^8 - 594*x^7 + 2364*x^6 - 5448*x^5 + 7980*x^4 - 7645*x^3 + 4711*x^2
- 1725*x + 292

Placing the root at 1:  105
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2016*x^4 - 2012*x^3 + 1324*x^2 -
536*x + 105

Placing the root at 2:  393
89*x^8 - 801*x^7 + 3188*x^6 - 7348*x^5 + 10766*x^4 - 10318*x^3 +
6360*x^2 - 2328*x + 393

Placing the root at 5:  206
40*x^8 - 360*x^7 + 1440*x^6 - 3352*x^5 + 4984*x^4 - 4872*x^3 + 3081*x^2
- 1166*x + 206

Placing the root at 6:  648
166*x^8 - 1494*x^7 + 5936*x^6 - 13624*x^5 + 19804*x^4 - 18732*x^3 +
11312*x^2 - 4015*x + 648

Placing the root at 0:  104
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2015*x^4 - 2008*x^3 + 1318*x^2 -
532*x + 104

Placing the root at 1:  61
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1132*x^3 + 746*x^2 -
304*x + 61

Placing the root at 2:  236
52*x^8 - 468*x^7 + 1863*x^6 - 4296*x^5 + 6300*x^4 - 6048*x^3 + 3740*x^2
- 1378*x + 236

Placing the root at 5:  118
22*x^8 - 198*x^7 + 792*x^6 - 1844*x^5 + 2744*x^4 - 2688*x^3 + 1708*x^2 -
653*x + 118

Placing the root at 6:  387
96*x^8 - 864*x^7 + 3434*x^6 - 7888*x^5 + 11484*x^4 - 10892*x^3 +
6608*x^2 - 2364*x + 387

Placing the root at 7:  222
48*x^8 - 432*x^7 + 1720*x^6 - 3968*x^5 + 5824*x^4 - 5600*x^3 + 3473*x^2
- 1286*x + 222

Placing the root at 0:  56
8*x^8 - 72*x^7 + 288*x^6 - 672*x^5 + 1008*x^4 - 1007*x^3 + 666*x^2 -
274*x + 56

Placing the root at 1:  35
5*x^8 - 45*x^7 + 180*x^6 - 420*x^5 + 630*x^4 - 629*x^3 + 415*x^2 - 170*x
+ 35

Placing the root at 2:  140
30*x^8 - 270*x^7 + 1075*x^6 - 2480*x^5 + 3640*x^4 - 3500*x^3 + 2171*x^2
- 805*x + 140

Placing the root at 5:  126
26*x^8 - 234*x^7 + 932*x^6 - 2152*x^5 + 3164*x^4 - 3052*x^3 + 1904*x^2 -
713*x + 126

Placing the root at 0:  30
4*x^8 - 36*x^7 + 144*x^6 - 336*x^5 + 504*x^4 - 504*x^3 + 335*x^2 - 140*x
+ 30

Placing the root at 1:  158
27*x^8 - 243*x^7 + 972*x^6 - 2268*x^5 + 3396*x^4 - 3366*x^3 + 2178*x^2 -
853*x + 158

Placing the root at 2:  542
131*x^8 - 1179*x^7 + 4689*x^6 - 10788*x^5 + 15750*x^4 - 15000*x^3 +
9150*x^2 - 3294*x + 542

Placing the root at 0:  117
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2267*x^4 - 2260*x^3 + 1485*x^2 -
600*x + 117

Placing the root at 7:  231
45*x^8 - 405*x^7 + 1620*x^6 - 3771*x^5 + 5607*x^4 - 5481*x^3 + 3466*x^2
- 1311*x + 231

Placing the root at 8:  723
186*x^8 - 1674*x^7 + 6651*x^6 - 15264*x^5 + 22185*x^4 - 20979*x^3 +
12663*x^2 - 4490*x + 723

Placing the root at 1:  91
15*x^8 - 135*x^7 + 540*x^6 - 1260*x^5 + 1887*x^4 - 1872*x^3 + 1215*x^2 -
480*x + 91

Placing the root at 2:  324
76*x^8 - 684*x^7 + 2721*x^6 - 6264*x^5 + 9156*x^4 - 8739*x^3 + 5352*x^2
- 1941*x + 324

Placing the root at 7:  249
54*x^8 - 486*x^7 + 1935*x^6 - 4464*x^5 + 6552*x^4 - 6300*x^3 + 3907*x^2
- 1446*x + 249

Placing the root at 0:  63
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1133*x^3 + 750*x^2 -
309*x + 63

Placing the root at 1:  121
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2516*x^4 - 2496*x^3 + 1620*x^2 -
640*x + 121

Placing the root at 2:  429
101*x^8 - 909*x^7 + 3616*x^6 - 8324*x^5 + 12166*x^4 - 11610*x^3 +
7108*x^2 - 2576*x + 429

Placing the root at 4:  176
33*x^8 - 297*x^7 + 1188*x^6 - 2766*x^5 + 4116*x^4 - 4032*x^3 + 2562*x^2
- 979*x + 176

Placing the root at 5:  572
143*x^8 - 1287*x^7 + 5115*x^6 - 11748*x^5 + 17100*x^4 - 16212*x^3 +
9828*x^2 - 3510*x + 572

Placing the root at 0:  84
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1512*x^4 - 1511*x^3 + 1001*x^2 -
413*x + 84

Placing the root at 8:  331
72*x^8 - 648*x^7 + 2580*x^6 - 5952*x^5 + 8736*x^4 - 8400*x^3 + 5209*x^2
- 1927*x + 331

Placing the root at 1:  69
11*x^8 - 99*x^7 + 396*x^6 - 924*x^5 + 1384*x^4 - 1374*x^3 + 894*x^2 -
356*x + 69

Placing the root at 2:  254
58*x^8 - 522*x^7 + 2077*x^6 - 4784*x^5 + 7000*x^4 - 6694*x^3 + 4114*x^2
- 1502*x + 254

Placing the root at 4:  100
18*x^8 - 162*x^7 + 648*x^6 - 1509*x^5 + 2247*x^4 - 2205*x^3 + 1407*x^2 -
543*x + 100

Placing the root at 5:  339
82*x^8 - 738*x^7 + 2934*x^6 - 6744*x^5 + 9831*x^4 - 9345*x^3 + 5691*x^2
- 2049*x + 339

Placing the root at 6:  188
39*x^8 - 351*x^7 + 1398*x^6 - 3228*x^5 + 4746*x^4 - 4578*x^3 + 2856*x^2
- 1069*x + 188

Placing the root at 0:  45
6*x^8 - 54*x^7 + 216*x^6 - 504*x^5 + 756*x^4 - 756*x^3 + 503*x^2 - 211*x
+ 45

Placing the root at 1:  39
6*x^8 - 54*x^7 + 216*x^6 - 504*x^5 + 755*x^4 - 750*x^3 + 489*x^2 - 196*x
+ 39

Placing the root at 2:  149
33*x^8 - 297*x^7 + 1182*x^6 - 2724*x^5 + 3990*x^4 - 3823*x^3 + 2358*x^2
- 867*x + 149

Placing the root at 4:  106
21*x^8 - 189*x^7 + 753*x^6 - 1740*x^5 + 2562*x^4 - 2478*x^3 + 1554*x^2 -
588*x + 106

Placing the root at 0:  24
3*x^8 - 27*x^7 + 108*x^6 - 252*x^5 + 378*x^4 - 378*x^3 + 252*x^2 - 107*x
+ 24

Placing the root at 1:  234
44*x^8 - 396*x^7 + 1584*x^6 - 3688*x^5 + 5488*x^4 - 5376*x^3 + 3416*x^2
- 1305*x + 234

Placing the root at 2:  757
190*x^8 - 1710*x^7 + 6796*x^6 - 15608*x^5 + 22716*x^4 - 21532*x^3 +
13048*x^2 - 4656*x + 757

Placing the root at 0:  112
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2016*x^4 - 2015*x^3 + 1336*x^2 -
552*x + 112

Placing the root at 1:  133
24*x^8 - 216*x^7 + 864*x^6 - 2012*x^5 + 2996*x^4 - 2940*x^3 + 1876*x^2 -
724*x + 133

Placing the root at 2:  449
109*x^8 - 981*x^7 + 3900*x^6 - 8964*x^5 + 13066*x^4 - 12418*x^3 +
7560*x^2 - 2720*x + 449

Placing the root at 7:  250
52*x^8 - 468*x^7 + 1864*x^6 - 4304*x^5 + 6328*x^4 - 6104*x^3 + 3808*x^2
- 1425*x + 250

Placing the root at 0:  60
8*x^8 - 72*x^7 + 288*x^6 - 672*x^5 + 1008*x^4 - 1008*x^3 + 671*x^2 -
282*x + 60

Placing the root at 1:  75
13*x^8 - 117*x^7 + 468*x^6 - 1090*x^5 + 1624*x^4 - 1596*x^3 + 1022*x^2 -
398*x + 75

Placing the root at 2:  264
62*x^8 - 558*x^7 + 2219*x^6 - 5104*x^5 + 7450*x^4 - 7098*x^3 + 4340*x^2
- 1574*x + 264

Placing the root at 5:  141
28*x^8 - 252*x^7 + 1004*x^6 - 2320*x^5 + 3416*x^4 - 3304*x^3 + 2072*x^2
- 784*x + 141

Placing the root at 0:  32
4*x^8 - 36*x^7 + 144*x^6 - 336*x^5 + 504*x^4 - 504*x^3 + 336*x^2 - 143*x
+ 32

Placing the root at 1:  42
7*x^8 - 63*x^7 + 252*x^6 - 587*x^5 + 875*x^4 - 861*x^3 + 553*x^2 - 217*x
+ 42

Placing the root at 2:  154
35*x^8 - 315*x^7 + 1253*x^6 - 2884*x^5 + 4215*x^4 - 4025*x^3 + 2471*x^2
- 903*x + 154

Placing the root at 3:  79
15*x^8 - 135*x^7 + 538*x^6 - 1244*x^5 + 1834*x^4 - 1778*x^3 + 1120*x^2 -
428*x + 79

Placing the root at 0:  17
2*x^8 - 18*x^7 + 72*x^6 - 168*x^5 + 252*x^4 - 252*x^3 + 168*x^2 - 72*x +
17

Placing the root at 1:  44
8*x^8 - 72*x^7 + 287*x^6 - 664*x^5 + 980*x^4 - 952*x^3 + 602*x^2 - 232*x
+ 44

Placing the root at 0:  9
x^8 - 9*x^7 + 36*x^6 - 84*x^5 + 126*x^4 - 126*x^3 + 84*x^2 - 36*x + 9

Placing the root at 1:  3024
-588*x^9 + 5880*x^8 - 26460*x^7 + 70490*x^6 - 122850*x^5 + 145709*x^4 -
118024*x^3 + 63190*x^2 - 20370*x + 3024

Placing the root at 2:  3333
-660*x^9 + 6600*x^8 - 29700*x^7 + 79116*x^6 - 137844*x^5 + 163366*x^4 -
132104*x^3 + 70510*x^2 - 22616*x + 3333

Placing the root at 3:  4147
-858*x^9 + 8580*x^8 - 38610*x^7 + 102828*x^6 - 178992*x^5 + 211638*x^4 -
170352*x^3 + 90220*x^2 - 28600*x + 4147

Placing the root at 4:  6292
-1430*x^9 + 14300*x^8 - 64350*x^7 + 171171*x^6 - 296868*x^5 + 348480*x^4
- 277200*x^3 + 144300*x^2 - 44694*x + 6292

Placing the root at 5:  16796
-4862*x^9 + 48620*x^8 - 217360*x^7 + 570570*x^6 - 969969*x^5 +
1108536*x^4 - 852720*x^3 + 426360*x^2 - 125970*x + 16796

Placing the root at 1:  1986
-378*x^9 + 3780*x^8 - 17010*x^7 + 45318*x^6 - 79002*x^5 + 93773*x^4 -
76084*x^3 + 40869*x^2 - 13251*x + 1986

Placing the root at 2:  2079
-396*x^9 + 3960*x^8 - 17820*x^7 + 47478*x^6 - 82782*x^5 + 98294*x^4 -
79786*x^3 + 42867*x^2 - 13893*x + 2079

Placing the root at 3:  2288
-429*x^9 + 4290*x^8 - 19305*x^7 + 51480*x^6 - 89958*x^5 + 107184*x^4 -
87360*x^3 + 47112*x^2 - 15301*x + 2288

Placing the root at 4:  7150
-1859*x^9 + 18590*x^8 - 83226*x^7 + 219219*x^6 - 374946*x^5 + 432564*x^4
- 337260*x^3 + 171756*x^2 - 51987*x + 7150

Placing the root at 0:  2044
-392*x^9 + 3920*x^8 - 17640*x^7 + 46995*x^6 - 81915*x^5 + 97197*x^4 -
78804*x^3 + 42274*x^2 - 13678*x + 2044

Placing the root at 6:  2295
-450*x^9 + 4500*x^8 - 20250*x^7 + 53944*x^6 - 93996*x^5 + 111430*x^4 -
90164*x^3 + 48189*x^2 - 15497*x + 2295

Placing the root at 7:  2893
-594*x^9 + 5940*x^8 - 26730*x^7 + 71190*x^6 - 123930*x^5 + 146566*x^4 -
118034*x^3 + 62577*x^2 - 19877*x + 2893

Placing the root at 8:  4433
-1001*x^9 + 10010*x^8 - 45045*x^7 + 119823*x^6 - 207834*x^5 + 244026*x^4
- 194208*x^3 + 101192*x^2 - 31395*x + 4433

Placing the root at 9:  11934
-3432*x^9 + 34320*x^8 - 153439*x^7 + 402831*x^6 - 684981*x^5 +
783156*x^4 - 602820*x^3 + 301716*x^2 - 89284*x + 11934

Placing the root at 1:  1342
-252*x^9 + 2520*x^8 - 11340*x^7 + 30213*x^6 - 52677*x^5 + 62550*x^4 -
50796*x^3 + 27336*x^2 - 8895*x + 1342

Placing the root at 2:  1431
-270*x^9 + 2700*x^8 - 12150*x^7 + 32372*x^6 - 56448*x^5 + 67041*x^4 -
54448*x^3 + 29289*x^2 - 9516*x + 1431

Placing the root at 3:  1595
-297*x^9 + 2970*x^8 - 13365*x^7 + 35640*x^6 - 62280*x^5 + 74214*x^4 -
60508*x^3 + 32658*x^2 - 10626*x + 1595

Placing the root at 4:  5027
-1298*x^9 + 12980*x^8 - 58113*x^7 + 153087*x^6 - 261888*x^5 + 302238*x^4
- 235788*x^3 + 120200*x^2 - 36444*x + 5027

Placing the root at 1:  1596
-294*x^9 + 2940*x^8 - 13230*x^7 + 35252*x^6 - 61488*x^5 + 73090*x^4 -
59482*x^3 + 32126*x^2 - 10509*x + 1596

Placing the root at 0:  1708
-322*x^9 + 3220*x^8 - 14490*x^7 + 38605*x^6 - 67305*x^5 + 79908*x^4 -
64872*x^3 + 34891*x^2 - 11342*x + 1708

Placing the root at 2:  1518
-264*x^9 + 2640*x^8 - 11880*x^7 + 31680*x^6 - 55398*x^5 + 66192*x^4 -
54320*x^3 + 29678*x^2 - 9845*x + 1518

Placing the root at 3:  2684
-561*x^9 + 5610*x^8 - 25245*x^7 + 67188*x^6 - 116754*x^5 + 137676*x^4 -
110460*x^3 + 58332*x^2 - 18469*x + 2684

Placing the root at 4:  7810
-2123*x^9 + 21230*x^8 - 94974*x^7 + 249711*x^6 - 425766*x^5 + 488928*x^4
- 378840*x^3 + 191424*x^2 - 57399*x + 7810

Placing the root at 5:  5071
-1254*x^9 + 12540*x^8 - 56166*x^7 + 148104*x^6 - 253836*x^5 + 293874*x^4
- 230412*x^3 + 118336*x^2 - 36256*x + 5071

Placing the root at 6:  1959
-380*x^9 + 3800*x^8 - 17100*x^7 + 45554*x^6 - 79386*x^5 + 94141*x^4 -
76232*x^3 + 40806*x^2 - 13161*x + 1959

Placing the root at 7:  2503
-510*x^9 + 5100*x^8 - 22950*x^7 + 61124*x^6 - 106416*x^5 + 125883*x^4 -
101432*x^3 + 53834*x^2 - 17135*x + 2503

Placing the root at 8:  3872
-869*x^9 + 8690*x^8 - 39105*x^7 + 104025*x^6 - 180450*x^5 + 211924*x^4 -
168742*x^3 + 88003*x^2 - 27347*x + 3872

Placing the root at 9:  10504
-3003*x^9 + 30030*x^8 - 134266*x^7 + 352539*x^6 - 599601*x^5 +
685800*x^4 - 528200*x^3 + 264614*x^2 - 78416*x + 10504

Placing the root at 1:  1078
-196*x^9 + 1960*x^8 - 8820*x^7 + 23502*x^6 - 40998*x^5 + 48750*x^4 -
39705*x^3 + 21481*x^2 - 7051*x + 1078

Placing the root at 2:  1044
-180*x^9 + 1800*x^8 - 8100*x^7 + 21600*x^6 - 37772*x^5 + 45136*x^4 -
37053*x^3 + 20263*x^2 - 6737*x + 1044

Placing the root at 3:  1865
-387*x^9 + 3870*x^8 - 17415*x^7 + 46350*x^6 - 80550*x^5 + 95004*x^4 -
76258*x^3 + 40308*x^2 - 12786*x + 1865

Placing the root at 4:  5477
-1478*x^9 + 14780*x^8 - 66123*x^7 + 173877*x^6 - 296538*x^5 + 340668*x^4
- 264138*x^3 + 133610*x^2 - 40134*x + 5477

Placing the root at 5:  3523
-864*x^9 + 8640*x^8 - 38700*x^7 + 102060*x^6 - 174960*x^5 + 202636*x^4 -
158984*x^3 + 81747*x^2 - 25097*x + 3523

Placing the root at 6:  1221
-228*x^9 + 2280*x^8 - 10260*x^7 + 27337*x^6 - 47673*x^5 + 56635*x^4 -
46027*x^3 + 24794*x^2 - 8078*x + 1221

Placing the root at 7:  1379
-255*x^9 + 2550*x^8 - 11475*x^7 + 30600*x^6 - 53474*x^5 + 63728*x^4 -
51977*x^3 + 28078*x^2 - 9153*x + 1379

Placing the root at 8:  4382
-1124*x^9 + 11240*x^8 - 50325*x^7 + 132585*x^6 - 226860*x^5 + 261904*x^4
- 204442*x^3 + 104323*x^2 - 31682*x + 4382

Placing the root at 0:  1121
-207*x^9 + 2070*x^8 - 9315*x^7 + 24819*x^6 - 43281*x^5 + 51421*x^4 -
41810*x^3 + 22556*x^2 - 7373*x + 1121

Placing the root at 1:  900
-161*x^9 + 1610*x^8 - 7245*x^7 + 19306*x^6 - 33684*x^5 + 40072*x^4 -
32673*x^3 + 17717*x^2 - 5841*x + 900

Placing the root at 2:  890
-152*x^9 + 1520*x^8 - 6840*x^7 + 18240*x^6 - 31897*x^5 + 38120*x^4 -
31306*x^3 + 17139*x^2 - 5713*x + 890

Placing the root at 3:  1607
-331*x^9 + 3310*x^8 - 14895*x^7 + 39644*x^6 - 68902*x^5 + 81284*x^4 -
65277*x^3 + 34538*x^2 - 10977*x + 1607

Placing the root at 4:  4762
-1276*x^9 + 12760*x^8 - 57089*x^7 + 150141*x^6 - 256120*x^5 + 294356*x^4
- 228382*x^3 + 115647*x^2 - 34798*x + 4762

Placing the root at 5:  3035
-738*x^9 + 7380*x^8 - 33058*x^7 + 87192*x^6 - 149508*x^5 + 173231*x^4 -
136012*x^3 + 70022*x^2 - 21543*x + 3035

Placing the root at 1:  1248
-210*x^9 + 2100*x^8 - 9450*x^7 + 25200*x^6 - 44072*x^5 + 52696*x^4 -
43340*x^3 + 23800*x^2 - 7971*x + 1248

Placing the root at 0:  1456
-266*x^9 + 2660*x^8 - 11970*x^7 + 31895*x^6 - 55635*x^5 + 66142*x^4 -
53850*x^3 + 29115*x^2 - 9546*x + 1456

Placing the root at 2:  1812
-348*x^9 + 3480*x^8 - 15660*x^7 + 41718*x^6 - 72702*x^5 + 86226*x^4 -
69860*x^3 + 37448*x^2 - 12113*x + 1812

Placing the root at 3:  2978
-645*x^9 + 6450*x^8 - 29025*x^7 + 77226*x^6 - 134058*x^5 + 157710*x^4 -
126000*x^3 + 66102*x^2 - 20737*x + 2978

Placing the root at 4:  8398
-2333*x^9 + 23330*x^8 - 104340*x^7 + 274155*x^6 - 466884*x^5 +
535128*x^4 - 413490*x^3 + 208140*x^2 - 62103*x + 8398

Placing the root at 5:  4299
-1038*x^9 + 10380*x^8 - 46500*x^7 + 122670*x^6 - 210420*x^5 + 243964*x^4
- 191744*x^3 + 98860*x^2 - 30470*x + 4299

Placing the root at 6:  1729
-330*x^9 + 3300*x^8 - 14850*x^7 + 39562*x^6 - 68958*x^5 + 81821*x^4 -
66340*x^3 + 35600*x^2 - 11533*x + 1729

Placing the root at 7:  2251
-454*x^9 + 4540*x^8 - 20430*x^7 + 54414*x^6 - 94746*x^5 + 112117*x^4 -
90410*x^3 + 48058*x^2 - 15339*x + 2251

Placing the root at 8:  3524
-785*x^9 + 7850*x^8 - 35325*x^7 + 93973*x^6 - 163034*x^5 + 191530*x^4 -
152600*x^3 + 79677*x^2 - 24809*x + 3524

Placing the root at 9:  9646
-2739*x^9 + 27390*x^8 - 122470*x^7 + 321615*x^6 - 547157*x^5 +
626104*x^4 - 482570*x^3 + 242020*x^2 - 71838*x + 9646

Placing the root at 1:  842
-140*x^9 + 1400*x^8 - 6300*x^7 + 16800*x^6 - 29382*x^5 + 35136*x^4 -
28911*x^3 + 15897*x^2 - 5341*x + 842

Placing the root at 2:  1240
-236*x^9 + 2360*x^8 - 10620*x^7 + 28292*x^6 - 49308*x^5 + 58492*x^4 -
47413*x^3 + 25443*x^2 - 8249*x + 1240

Placing the root at 3:  2061
-443*x^9 + 4430*x^8 - 19935*x^7 + 53042*x^6 - 92086*x^5 + 108360*x^4 -
86618*x^3 + 45488*x^2 - 14298*x + 2061

Placing the root at 4:  5869
-1618*x^9 + 16180*x^8 - 72367*x^7 + 190173*x^6 - 323950*x^5 + 371468*x^4
- 287238*x^3 + 144754*x^2 - 43270*x + 5869

Placing the root at 5:  2939
-702*x^9 + 7020*x^8 - 31450*x^7 + 82980*x^6 - 142380*x^5 + 165162*x^4 -
129924*x^3 + 67089*x^2 - 20733*x + 2939

Placing the root at 6:  1077
-198*x^9 + 1980*x^8 - 8910*x^7 + 23741*x^6 - 41409*x^5 + 49217*x^4 -
40043*x^3 + 21620*x^2 - 7074*x + 1077

Placing the root at 7:  1239
-227*x^9 + 2270*x^8 - 10215*x^7 + 27240*x^6 - 47604*x^5 + 56742*x^4 -
46303*x^3 + 25044*x^2 - 8185*x + 1239

Placing the root at 8:  3978
-1012*x^9 + 10120*x^8 - 45313*x^7 + 119397*x^6 - 204348*x^5 + 236022*x^4
- 184380*x^3 + 94205*x^2 - 28668*x + 3978

Placing the root at 0:  955
-171*x^9 + 1710*x^8 - 7695*x^7 + 20505*x^6 - 35775*x^5 + 42557*x^4 -
34696*x^3 + 18812*x^2 - 6201*x + 955

Placing the root at 1:  702
-115*x^9 + 1150*x^8 - 5175*x^7 + 13800*x^6 - 24136*x^5 + 28868*x^4 -
23769*x^3 + 13093*x^2 - 4417*x + 702

Placing the root at 0:  766
-133*x^9 + 1330*x^8 - 5985*x^7 + 15950*x^6 - 27840*x^5 + 33156*x^4 -
27099*x^3 + 14763*x^2 - 4907*x + 766

Placing the root at 2:  1051
-198*x^9 + 1980*x^8 - 8910*x^7 + 23737*x^6 - 41373*x^5 + 49091*x^4 -
39816*x^3 + 21394*x^2 - 6955*x + 1051

Placing the root at 3:  1768
-377*x^9 + 3770*x^8 - 16965*x^7 + 45141*x^6 - 78378*x^5 + 92255*x^4 -
73787*x^3 + 38793*x^2 - 12219*x + 1768

Placing the root at 4:  5084
-1391*x^9 + 13910*x^8 - 62218*x^7 + 163527*x^6 - 278637*x^5 + 319656*x^4
- 247357*x^3 + 124801*x^2 - 37374*x + 5084

Placing the root at 5:  2488
-587*x^9 + 5870*x^8 - 26300*x^7 + 69405*x^6 - 119130*x^5 + 138278*x^4 -
108892*x^3 + 56331*x^2 - 17462*x + 2488

Placing the root at 6:  784
-132*x^9 + 1320*x^8 - 5940*x^7 + 15840*x^6 - 27701*x^5 + 33112*x^4 -
27212*x^3 + 14925*x^2 - 4995*x + 784

Placing the root at 7:  1437
-293*x^9 + 2930*x^8 - 13185*x^7 + 35094*x^6 - 61002*x^5 + 71988*x^4 -
57853*x^3 + 30654*x^2 - 9769*x + 1437

Placing the root at 8:  4308
-1144*x^9 + 11440*x^8 - 51187*x^7 + 134643*x^6 - 229758*x^5 + 264204*x^4
- 205170*x^3 + 104039*x^2 - 31374*x + 4308

Placing the root at 9:  2713
-652*x^9 + 6520*x^8 - 29208*x^7 + 77052*x^6 - 132168*x^5 + 153235*x^4 -
120440*x^3 + 62116*x^2 - 19167*x + 2713

Placing the root at 1:  596
-95*x^9 + 950*x^8 - 4275*x^7 + 11400*x^6 - 19940*x^5 + 23860*x^4 -
19675*x^3 + 10879*x^2 - 3699*x + 596

Placing the root at 2:  917
-170*x^9 + 1700*x^8 - 7650*x^7 + 20381*x^6 - 35529*x^5 + 42175*x^4 -
34242*x^3 + 18440*x^2 - 6021*x + 917

Placing the root at 3:  1570
-331*x^9 + 3310*x^8 - 14895*x^7 + 39635*x^6 - 68830*x^5 + 81051*x^4 -
64883*x^3 + 34169*x^2 - 10795*x + 1570

Placing the root at 4:  4574
-1239*x^9 + 12390*x^8 - 55424*x^7 + 145701*x^6 - 248359*x^5 + 285104*x^4
- 220845*x^3 + 111601*x^2 - 33502*x + 4574

Placing the root at 5:  2166
-501*x^9 + 5010*x^8 - 22450*x^7 + 59265*x^6 - 101790*x^5 + 118282*x^4 -
93320*x^3 + 48425*x^2 - 15086*x + 2166

Placing the root at 1:  1514
-280*x^9 + 2800*x^8 - 12600*x^7 + 33572*x^6 - 58548*x^5 + 69566*x^4 -
56570*x^3 + 30520*x^2 - 9973*x + 1514

Placing the root at 2:  2036
-404*x^9 + 4040*x^8 - 18180*x^7 + 48424*x^6 - 84336*x^5 + 99862*x^4 -
80640*x^3 + 42978*x^2 - 13779*x + 2036

Placing the root at 3:  3244
-715*x^9 + 7150*x^8 - 32175*x^7 + 85598*x^6 - 148534*x^5 + 174580*x^4 -
139230*x^3 + 72822*x^2 - 22739*x + 3244

Placing the root at 4:  8986
-2529*x^9 + 25290*x^8 - 113090*x^7 + 297045*x^6 - 505552*x^5 +
578864*x^4 - 446600*x^3 + 224310*x^2 - 66723*x + 8986

Placing the root at 0:  1176
-196*x^9 + 1960*x^8 - 8820*x^7 + 23520*x^6 - 41135*x^5 + 49192*x^4 -
40480*x^3 + 22260*x^2 - 7476*x + 1176

Placing the root at 9:  4088
-980*x^9 + 9800*x^8 - 43904*x^7 + 115836*x^6 - 198744*x^5 + 230521*x^4 -
181304*x^3 + 93584*x^2 - 28896*x + 4088

Placing the root at 1:  1257
-240*x^9 + 2400*x^8 - 10800*x^7 + 28772*x^6 - 50148*x^5 + 59494*x^4 -
48224*x^3 + 25868*x^2 - 8378*x + 1257

Placing the root at 2:  1639
-330*x^9 + 3300*x^8 - 14850*x^7 + 39552*x^6 - 68868*x^5 + 81494*x^4 -
65716*x^3 + 34934*x^2 - 11154*x + 1639

Placing the root at 3:  2574
-572*x^9 + 5720*x^8 - 25740*x^7 + 68475*x^6 - 118800*x^5 + 139572*x^4 -
111216*x^3 + 58084*x^2 - 18096*x + 2574

Placing the root at 4:  7072
-2002*x^9 + 20020*x^8 - 89518*x^7 + 235092*x^6 - 399993*x^5 + 457776*x^4
- 352920*x^3 + 177072*x^2 - 52598*x + 7072

Placing the root at 5:  948
-168*x^9 + 1680*x^8 - 7560*x^7 + 20146*x^6 - 35154*x^5 + 41837*x^4 -
34144*x^3 + 18548*x^2 - 6132*x + 948

Placing the root at 6:  825
-132*x^9 + 1320*x^8 - 5940*x^7 + 15840*x^6 - 27720*x^5 + 33222*x^4 -
27468*x^3 + 15224*x^2 - 5170*x + 825

Placing the root at 7:  2948
-693*x^9 + 6930*x^8 - 31053*x^7 + 81972*x^6 - 140778*x^5 + 163548*x^4 -
128940*x^3 + 66780*x^2 - 20713*x + 2948

Placing the root at 0:  1064
-196*x^9 + 1960*x^8 - 8820*x^7 + 23500*x^6 - 40980*x^5 + 48685*x^4 -
39584*x^3 + 21358*x^2 - 6986*x + 1064

Placing the root at 1:  1142
-215*x^9 + 2150*x^8 - 9675*x^7 + 25776*x^6 - 44934*x^5 + 53334*x^4 -
43278*x^3 + 23265*x^2 - 7564*x + 1142

Placing the root at 2:  1513
-302*x^9 + 3020*x^8 - 13590*x^7 + 36197*x^6 - 63033*x^5 + 74611*x^4 -
60205*x^3 + 32046*x^2 - 10256*x + 1513

Placing the root at 3:  2400
-530*x^9 + 5300*x^8 - 23850*x^7 + 63449*x^6 - 110092*x^5 + 129375*x^4 -
103145*x^3 + 53921*x^2 - 16827*x + 2400

Placing the root at 4:  6643
-1870*x^9 + 18700*x^8 - 83620*x^7 + 219630*x^6 - 373771*x^5 + 427928*x^4
- 330105*x^3 + 165775*x^2 - 49309*x + 6643

Placing the root at 5:  774
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26446*x^5 + 31640*x^4 -
26073*x^3 + 14385*x^2 - 4863*x + 774

Placing the root at 6:  993
-174*x^9 + 1740*x^8 - 7830*x^7 + 20880*x^6 - 36498*x^5 + 43554*x^4 -
35658*x^3 + 19424*x^2 - 6430*x + 993

Placing the root at 7:  3326
-819*x^9 + 8190*x^8 - 36681*x^7 + 96714*x^6 - 165726*x^5 + 191814*x^4 -
150360*x^3 + 77238*x^2 - 23695*x + 3326

Placing the root at 0:  938
-168*x^9 + 1680*x^8 - 7560*x^7 + 20145*x^6 - 35145*x^5 + 41802*x^4 -
34073*x^3 + 18470*x^2 - 6088*x + 938

Placing the root at 9:  2751
-648*x^9 + 6480*x^8 - 29034*x^7 + 76626*x^6 - 131544*x^5 + 152726*x^4 -
120316*x^3 + 62271*x^2 - 19311*x + 2751

Placing the root at 1:  1013
-185*x^9 + 1850*x^8 - 8325*x^7 + 22182*x^6 - 38688*x^5 + 45981*x^4 -
37416*x^3 + 20217*x^2 - 6628*x + 1013

Placing the root at 2:  1384
-272*x^9 + 2720*x^8 - 12240*x^7 + 32603*x^6 - 56787*x^5 + 67258*x^4 -
54343*x^3 + 28998*x^2 - 9320*x + 1384

Placing the root at 3:  2232
-488*x^9 + 4880*x^8 - 21960*x^7 + 58424*x^6 - 101392*x^5 + 119205*x^4 -
95123*x^3 + 49808*x^2 - 15585*x + 2232

Placing the root at 4:  6247
-1744*x^9 + 17440*x^8 - 77992*x^7 + 204888*x^6 - 348808*x^5 + 399584*x^4
- 308523*x^3 + 155149*x^2 - 46240*x + 6247

Placing the root at 5:  942
-168*x^9 + 1680*x^8 - 7560*x^7 + 20146*x^6 - 35154*x^5 + 41832*x^4 -
34123*x^3 + 18515*x^2 - 6109*x + 942

Placing the root at 6:  1119
-202*x^9 + 2020*x^8 - 9090*x^7 + 24240*x^6 - 42364*x^5 + 50512*x^4 -
41258*x^3 + 22364*x^2 - 7340*x + 1119

Placing the root at 7:  3648
-917*x^9 + 9170*x^8 - 41063*x^7 + 108222*x^6 - 185298*x^5 + 214172*x^4 -
167510*x^3 + 85750*x^2 - 26173*x + 3648

Placing the root at 0:  770
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26445*x^5 + 31632*x^4 -
26051*x^3 + 14357*x^2 - 4846*x + 770

Placing the root at 9:  2728
-644*x^9 + 6440*x^8 - 28854*x^7 + 76146*x^6 - 130704*x^5 + 151719*x^4 -
119484*x^3 + 61813*x^2 - 19159*x + 2728

Placing the root at 1:  1508
-285*x^9 + 2850*x^8 - 12825*x^7 + 34168*x^6 - 59562*x^5 + 70692*x^4 -
57354*x^3 + 30820*x^2 - 10011*x + 1508

Placing the root at 2:  1987
-398*x^9 + 3980*x^8 - 17910*x^7 + 47703*x^6 - 83067*x^5 + 98317*x^4 -
79319*x^3 + 42203*x^2 - 13495*x + 1987

Placing the root at 3:  3137
-695*x^9 + 6950*x^8 - 31275*x^7 + 83201*x^6 - 144358*x^5 + 169625*x^4 -
135205*x^3 + 70651*x^2 - 22030*x + 3137

Placing the root at 4:  8645
-2442*x^9 + 24420*x^8 - 109195*x^7 + 286785*x^6 - 487999*x^5 +
558596*x^4 - 430765*x^3 + 216215*x^2 - 64259*x + 8645

Placing the root at 5:  1032
-168*x^9 + 1680*x^8 - 7560*x^7 + 20160*x^6 - 35266*x^5 + 42210*x^4 -
34809*x^3 + 19220*x^2 - 6498*x + 1032

Placing the root at 6:  1938
-390*x^9 + 3900*x^8 - 17550*x^7 + 46716*x^6 - 81228*x^5 + 95928*x^4 -
77210*x^3 + 41018*x^2 - 13121*x + 1938

Placing the root at 7:  5869
-1548*x^9 + 15480*x^8 - 69270*x^7 + 182250*x^6 - 311124*x^5 + 358008*x^4
- 278292*x^3 + 141310*x^2 - 42682*x + 5869

Placing the root at 0:  1246
-224*x^9 + 2240*x^8 - 10080*x^7 + 26860*x^6 - 46860*x^5 + 55736*x^4 -
45429*x^3 + 24620*x^2 - 8108*x + 1246

Placing the root at 1:  921
-170*x^9 + 1700*x^8 - 7650*x^7 + 20382*x^6 - 35538*x^5 + 42205*x^4 -
34292*x^3 + 18485*x^2 - 6042*x + 921

Placing the root at 2:  1249
-246*x^9 + 2460*x^8 - 11070*x^7 + 29486*x^6 - 51354*x^5 + 60811*x^4 -
49114*x^3 + 26191*x^2 - 8412*x + 1249

Placing the root at 3:  2013
-440*x^9 + 4400*x^8 - 19800*x^7 + 52677*x^6 - 91416*x^5 + 107470*x^4 -
85750*x^3 + 44895*x^2 - 14048*x + 2013

Placing the root at 4:  5642
-1573*x^9 + 15730*x^8 - 70345*x^7 + 184800*x^6 - 314613*x^5 + 360420*x^4
- 278300*x^3 + 139970*x^2 - 41730*x + 5642

Placing the root at 5:  558
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17640*x^5 + 21154*x^4 -
17542*x^3 + 9805*x^2 - 3390*x + 558

Placing the root at 6:  1119
-216*x^9 + 2160*x^8 - 9720*x^7 + 25878*x^6 - 45024*x^5 + 53256*x^4 -
43008*x^3 + 22994*x^2 - 7438*x + 1119

Placing the root at 7:  3536
-903*x^9 + 9030*x^8 - 40419*x^7 + 106416*x^6 - 181896*x^5 + 209748*x^4 -
163590*x^3 + 83496*x^2 - 25417*x + 3536

Placing the root at 8:  2106
-474*x^9 + 4740*x^8 - 21246*x^7 + 56124*x^6 - 96516*x^5 + 112392*x^4 -
88970*x^3 + 46394*x^2 - 14549*x + 2106

Placing the root at 0:  728
-126*x^9 + 1260*x^8 - 5670*x^7 + 15110*x^6 - 26370*x^5 + 31396*x^4 -
25652*x^3 + 13975*x^2 - 4650*x + 728

Placing the root at 1:  835
-150*x^9 + 1500*x^8 - 6750*x^7 + 17986*x^6 - 31374*x^5 + 37303*x^4 -
30384*x^3 + 16453*x^2 - 5418*x + 835

Placing the root at 0:  616
-98*x^9 + 980*x^8 - 4410*x^7 + 11760*x^6 - 20570*x^5 + 24616*x^4 -
20304*x^3 + 11233*x^2 - 3822*x + 616

Placing the root at 2:  1163
-226*x^9 + 2260*x^8 - 10170*x^7 + 27090*x^6 - 47190*x^5 + 55909*x^4 -
45206*x^3 + 24159*x^2 - 7788*x + 1163

Placing the root at 3:  1901
-412*x^9 + 4120*x^8 - 18540*x^7 + 49327*x^6 - 85616*x^5 + 100690*x^4 -
80402*x^3 + 42153*x^2 - 13220*x + 1901

Placing the root at 4:  5378
-1489*x^9 + 14890*x^8 - 66593*x^7 + 174972*x^6 - 297971*x^5 + 341524*x^4
- 263912*x^3 + 132886*x^2 - 39684*x + 5378

Placing the root at 5:  684
-112*x^9 + 1120*x^8 - 5040*x^7 + 13440*x^6 - 23506*x^5 + 28112*x^4 -
23142*x^3 + 12745*x^2 - 4300*x + 684

Placing the root at 6:  1287
-258*x^9 + 2580*x^8 - 11610*x^7 + 30904*x^6 - 53732*x^5 + 63448*x^4 -
51058*x^3 + 27124*x^2 - 8684*x + 1287

Placing the root at 7:  3928
-1029*x^9 + 10290*x^8 - 46047*x^7 + 121158*x^6 - 206858*x^5 + 238084*x^4
- 185150*x^3 + 94094*x^2 - 28469*x + 3928

Placing the root at 8:  2428
-572*x^9 + 5720*x^8 - 25628*x^7 + 67632*x^6 - 116088*x^5 + 134750*x^4 -
106120*x^3 + 54906*x^2 - 17027*x + 2428

Placing the root at 9:  2240
-518*x^9 + 5180*x^8 - 23212*x^7 + 61278*x^6 - 105252*x^5 + 122314*x^4 -
96512*x^3 + 50088*x^2 - 15605*x + 2240

Placing the root at 1:  1192
-215*x^9 + 2150*x^8 - 9675*x^7 + 25780*x^6 - 44970*x^5 + 53470*x^4 -
43554*x^3 + 23582*x^2 - 7759*x + 1192

Placing the root at 0:  882
-140*x^9 + 1400*x^8 - 6300*x^7 + 16800*x^6 - 29390*x^5 + 35190*x^4 -
29059*x^3 + 16102*x^2 - 5484*x + 882

Placing the root at 2:  1649
-322*x^9 + 3220*x^8 - 14490*x^7 + 38597*x^6 - 67233*x^5 + 79649*x^4 -
64389*x^3 + 34395*x^2 - 11075*x + 1649

Placing the root at 3:  2677
-583*x^9 + 5830*x^8 - 26235*x^7 + 69799*x^6 - 121142*x^5 + 142451*x^4 -
113715*x^3 + 59583*x^2 - 18664*x + 2677

Placing the root at 4:  7523
-2094*x^9 + 20940*x^8 - 93647*x^7 + 246033*x^6 - 418913*x^5 + 480004*x^4
- 370747*x^3 + 186537*x^2 - 55635*x + 7523

Placing the root at 5:  1354
-252*x^9 + 2520*x^8 - 11340*x^7 + 30212*x^6 - 52668*x^5 + 62524*x^4 -
50769*x^3 + 27340*x^2 - 8920*x + 1354

Placing the root at 6:  2302
-488*x^9 + 4880*x^8 - 21960*x^7 + 58434*x^6 - 101472*x^5 + 119476*x^4 -
95620*x^3 + 50328*x^2 - 15879*x + 2302

Placing the root at 7:  6653
-1814*x^9 + 18140*x^8 - 81142*x^7 + 213288*x^6 - 363498*x^5 + 417144*x^4
- 322952*x^3 + 163052*x^2 - 48870*x + 6653

Placing the root at 8:  1696
-336*x^9 + 3360*x^8 - 15120*x^7 + 40250*x^6 - 70000*x^5 + 82712*x^4 -
66650*x^3 + 35490*x^2 - 11401*x + 1696

Placing the root at 9:  5223
-1360*x^9 + 13600*x^8 - 60864*x^7 + 160176*x^6 - 273574*x^5 + 315056*x^4
- 245224*x^3 + 124774*x^2 - 37806*x + 5223

Placing the root at 1:  691
-120*x^9 + 1200*x^8 - 5400*x^7 + 14390*x^6 - 25110*x^5 + 29885*x^4 -
24400*x^3 + 13279*x^2 - 4414*x + 691

Placing the root at 2:  997
-190*x^9 + 1900*x^8 - 8550*x^7 + 22776*x^6 - 39684*x^5 + 47045*x^4 -
38092*x^3 + 20415*x^2 - 6616*x + 997

Placing the root at 3:  1665
-356*x^9 + 3560*x^8 - 16020*x^7 + 42625*x^6 - 74000*x^5 + 87076*x^4 -
69608*x^3 + 36569*x^2 - 11510*x + 1665

Placing the root at 4:  4784
-1309*x^9 + 13090*x^8 - 58549*x^7 + 153876*x^6 - 262169*x^5 + 300724*x^4
- 232670*x^3 + 117376*x^2 - 35152*x + 4784

Placing the root at 5:  782
-140*x^9 + 1400*x^8 - 6300*x^7 + 16786*x^6 - 29274*x^5 + 34790*x^4 -
28322*x^3 + 15335*x^2 - 5056*x + 782

Placing the root at 6:  1385
-286*x^9 + 2860*x^8 - 12870*x^7 + 34250*x^6 - 59500*x^5 + 70126*x^4 -
56238*x^3 + 29714*x^2 - 9440*x + 1385

Placing the root at 7:  4124
-1099*x^9 + 10990*x^8 - 49169*x^7 + 129306*x^6 - 220564*x^5 + 253484*x^4
- 196700*x^3 + 99666*x^2 - 30037*x + 4124

Placing the root at 8:  1836
-406*x^9 + 4060*x^8 - 18200*x^7 + 48090*x^6 - 82740*x^5 + 96432*x^4 -
76450*x^3 + 39970*x^2 - 12591*x + 1836

Placing the root at 0:  476
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14700*x^5 + 17630*x^4 -
14630*x^3 + 8199*x^2 - 2854*x + 476

Placing the root at 1:  420
-70*x^9 + 700*x^8 - 3150*x^7 + 8395*x^6 - 14655*x^5 + 17462*x^4 -
14296*x^3 + 7825*x^2 - 2630*x + 420

Placing the root at 2:  300
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8820*x^5 + 10584*x^4 -
8806*x^3 + 4970*x^2 - 1755*x + 300

Placing the root at 3:  1203
-258*x^9 + 2580*x^8 - 11568*x^7 + 30582*x^6 - 52668*x^5 + 61488*x^4 -
48888*x^3 + 25682*x^2 - 8152*x + 1203

Placing the root at 0:  555
-100*x^9 + 1000*x^8 - 4500*x^7 + 11990*x^6 - 20910*x^5 + 24847*x^4 -
20216*x^3 + 10930*x^2 - 3595*x + 555

Placing the root at 7:  775
-150*x^9 + 1500*x^8 - 6750*x^7 + 17980*x^6 - 31320*x^5 + 37105*x^4 -
30000*x^3 + 16034*x^2 - 5173*x + 775

Placing the root at 8:  1276
-275*x^9 + 2750*x^8 - 12375*x^7 + 32925*x^6 - 57150*x^5 + 67220*x^4 -
53690*x^3 + 28165*x^2 - 8845*x + 1276

Placing the root at 9:  3640
-1001*x^9 + 10010*x^8 - 44770*x^7 + 117645*x^6 - 200385*x^5 + 229752*x^4
- 177640*x^3 + 89530*x^2 - 26780*x + 3640

Placing the root at 1:  364
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11755*x^5 + 14072*x^4 -
11622*x^3 + 6454*x^2 - 2216*x + 364

Placing the root at 2:  370
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14098*x^4 -
11676*x^3 + 6510*x^2 - 2245*x + 370

Placing the root at 3:  1399
-314*x^9 + 3140*x^8 - 14074*x^7 + 37176*x^6 - 63924*x^5 + 74424*x^4 -
58898*x^3 + 30708*x^2 - 9636*x + 1399

Placing the root at 0:  512
-90*x^9 + 900*x^8 - 4050*x^7 + 10792*x^6 - 18828*x^5 + 22396*x^4 -
18262*x^3 + 9914*x^2 - 3283*x + 512

Placing the root at 6:  1368
-308*x^9 + 3080*x^8 - 13804*x^7 + 36456*x^6 - 62664*x^5 + 72917*x^4 -
57664*x^3 + 30042*x^2 - 9422*x + 1368

Placing the root at 7:  732
-140*x^9 + 1400*x^8 - 6300*x^7 + 16782*x^6 - 29238*x^5 + 34654*x^4 -
28046*x^3 + 15018*x^2 - 4861*x + 732

Placing the root at 8:  1220
-261*x^9 + 2610*x^8 - 11745*x^7 + 31250*x^6 - 54250*x^5 + 63830*x^4 -
51016*x^3 + 26794*x^2 - 8431*x + 1220

Placing the root at 9:  3508
-959*x^9 + 9590*x^8 - 42894*x^7 + 112731*x^6 - 192064*x^5 + 220304*x^4 -
170446*x^3 + 85988*x^2 - 25757*x + 3508

Placing the root at 1:  640
-112*x^9 + 1120*x^8 - 5040*x^7 + 13431*x^6 - 23439*x^5 + 27903*x^4 -
22788*x^3 + 12398*x^2 - 4112*x + 640

Placing the root at 2:  567
-90*x^9 + 900*x^8 - 4050*x^7 + 10800*x^6 - 18900*x^5 + 22652*x^4 -
18732*x^3 + 10389*x^2 - 3535*x + 567

Placing the root at 3:  2045
-477*x^9 + 4770*x^8 - 21375*x^7 + 56430*x^6 - 96930*x^5 + 112644*x^4 -
88858*x^3 + 46068*x^2 - 14316*x + 2045

Placing the root at 6:  783
-144*x^9 + 1440*x^8 - 6480*x^7 + 17266*x^6 - 30114*x^5 + 35788*x^4 -
29110*x^3 + 15711*x^2 - 5139*x + 783

Placing the root at 7:  902
-165*x^9 + 1650*x^8 - 7425*x^7 + 19800*x^6 - 34602*x^5 + 41244*x^4 -
33656*x^3 + 18204*x^2 - 5951*x + 902

Placing the root at 8:  2904
-737*x^9 + 7370*x^8 - 33000*x^7 + 86955*x^6 - 148830*x^5 + 171912*x^4 -
134316*x^3 + 68644*x^2 - 20901*x + 2904

Placing the root at 0:  698
-126*x^9 + 1260*x^8 - 5670*x^7 + 15108*x^6 - 26352*x^5 + 31327*x^4 -
25508*x^3 + 13803*x^2 - 4539*x + 698

Placing the root at 1:  534
-92*x^9 + 920*x^8 - 4140*x^7 + 11033*x^6 - 19257*x^5 + 22934*x^4 -
18748*x^3 + 10221*x^2 - 3404*x + 534

Placing the root at 2:  483
-76*x^9 + 760*x^8 - 3420*x^7 + 9120*x^6 - 15960*x^5 + 19129*x^4 -
15822*x^3 + 8782*x^2 - 2995*x + 483

Placing the root at 3:  1759
-407*x^9 + 4070*x^8 - 18239*x^7 + 48156*x^6 - 82734*x^5 + 96180*x^4 -
75917*x^3 + 39402*x^2 - 12269*x + 1759

Placing the root at 0:  560
-98*x^9 + 980*x^8 - 4410*x^7 + 11752*x^6 - 20508*x^5 + 24410*x^4 -
19928*x^3 + 10836*x^2 - 3593*x + 560

Placing the root at 6:  570
-96*x^9 + 960*x^8 - 4320*x^7 + 11520*x^6 - 20146*x^5 + 24080*x^4 -
19786*x^3 + 10848*x^2 - 3629*x + 570

Placing the root at 7:  1046
-213*x^9 + 2130*x^8 - 9585*x^7 + 25512*x^6 - 44346*x^5 + 52332*x^4 -
42056*x^3 + 22284*x^2 - 7103*x + 1046

Placing the root at 8:  3144
-833*x^9 + 8330*x^8 - 37272*x^7 + 98043*x^6 - 167310*x^5 + 192408*x^4 -
149436*x^3 + 75796*x^2 - 22869*x + 3144

Placing the root at 9:  1975
-474*x^9 + 4740*x^8 - 21234*x^7 + 56016*x^6 - 96084*x^5 + 111398*x^4 -
87556*x^3 + 45158*x^2 - 13938*x + 1975

Placing the root at 1:  454
-76*x^9 + 760*x^8 - 3420*x^7 + 9115*x^6 - 15915*x^5 + 18972*x^4 -
15542*x^3 + 8509*x^2 - 2856*x + 454

Placing the root at 2:  425
-66*x^9 + 660*x^8 - 2970*x^7 + 7920*x^6 - 13860*x^5 + 16613*x^4 -
13746*x^3 + 7640*x^2 - 2615*x + 425

Placing the root at 3:  1569
-359*x^9 + 3590*x^8 - 16089*x^7 + 42486*x^6 - 73014*x^5 + 84924*x^4 -
67093*x^3 + 34878*x^2 - 10891*x + 1569

Placing the root at 0:  436
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14692*x^5 + 17576*x^4 -
14482*x^3 + 7994*x^2 - 2711*x + 436

Placing the root at 6:  668
-124*x^9 + 1240*x^8 - 5580*x^7 + 14866*x^6 - 25914*x^5 + 30758*x^4 -
24966*x^3 + 13438*x^2 - 4385*x + 668

Placing the root at 7:  1144
-241*x^9 + 2410*x^8 - 10845*x^7 + 28858*x^6 - 50114*x^5 + 59010*x^4 -
47236*x^3 + 24874*x^2 - 7859*x + 1144

Placing the root at 8:  3340
-903*x^9 + 9030*x^8 - 40394*x^7 + 106191*x^6 - 181016*x^5 + 207808*x^4 -
160986*x^3 + 81368*x^2 - 24437*x + 3340

Placing the root at 9:  1579
-366*x^9 + 3660*x^8 - 16400*x^7 + 43290*x^6 - 74340*x^5 + 86360*x^4 -
68104*x^3 + 35318*x^2 - 10996*x + 1579

Placing the root at 1:  332
-56*x^9 + 560*x^8 - 2520*x^7 + 6716*x^6 - 11724*x^5 + 13969*x^4 -
11432*x^3 + 6248*x^2 - 2092*x + 332

Placing the root at 2:  309
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10080*x^5 + 12082*x^4 -
9996*x^3 + 5554*x^2 - 1900*x + 309

Placing the root at 3:  1142
-261*x^9 + 2610*x^8 - 11697*x^7 + 30888*x^6 - 53082*x^5 + 61740*x^4 -
48776*x^3 + 25356*x^2 - 7919*x + 1142

Placing the root at 1:  546
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17635*x^5 + 21123*x^4 -
17467*x^3 + 9716*x^2 - 3338*x + 546

Placing the root at 2:  740
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26432*x^5 + 31556*x^4 -
25872*x^3 + 14145*x^2 - 4720*x + 740

Placing the root at 3:  2554
-614*x^9 + 6140*x^8 - 27504*x^7 + 72546*x^6 - 124404*x^5 + 144172*x^4 -
113260*x^3 + 58392*x^2 - 18021*x + 2554

Placing the root at 0:  763
-135*x^9 + 1350*x^8 - 6075*x^7 + 16188*x^6 - 28242*x^5 + 33594*x^4 -
27392*x^3 + 14866*x^2 - 4916*x + 763

Placing the root at 5:  1082
-210*x^9 + 2100*x^8 - 9450*x^7 + 25158*x^6 - 43764*x^5 + 51744*x^4 -
41753*x^3 + 22295*x^2 - 7201*x + 1082

Placing the root at 6:  3409
-872*x^9 + 8720*x^8 - 39030*x^7 + 102750*x^6 - 175602*x^5 + 202440*x^4 -
157836*x^3 + 80527*x^2 - 24505*x + 3409

Placing the root at 7:  1080
-208*x^9 + 2080*x^8 - 9360*x^7 + 24933*x^6 - 43437*x^5 + 51477*x^4 -
41649*x^3 + 22287*x^2 - 7202*x + 1080

Placing the root at 8:  1783
-384*x^9 + 3840*x^8 - 17280*x^7 + 45976*x^6 - 79808*x^5 + 93883*x^4 -
75005*x^3 + 39361*x^2 - 12365*x + 1783

Placing the root at 9:  5081
-1399*x^9 + 13990*x^8 - 62571*x^7 + 164424*x^6 - 280070*x^5 + 321124*x^4
- 248291*x^3 + 125131*x^2 - 37418*x + 5081

Placing the root at 1:  294
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8820*x^5 + 10579*x^4 -
8785*x^3 + 4937*x^2 - 1732*x + 294

Placing the root at 2:  426
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14686*x^5 + 17542*x^4 -
14406*x^3 + 7910*x^2 - 2665*x + 426

Placing the root at 3:  1525
-356*x^9 + 3560*x^8 - 15950*x^7 + 42090*x^6 - 72240*x^5 + 83846*x^4 -
66038*x^3 + 34194*x^2 - 10630*x + 1525

Placing the root at 5:  1166
-252*x^9 + 2520*x^8 - 11298*x^7 + 29862*x^6 - 51408*x^5 + 59976*x^4 -
47633*x^3 + 24983*x^2 - 7915*x + 1166

Placing the root at 0:  440
-75*x^9 + 750*x^8 - 3375*x^7 + 8994*x^6 - 15696*x^5 + 18687*x^4 -
15270*x^3 + 8327*x^2 - 2781*x + 440

Placing the root at 7:  649
-122*x^9 + 1220*x^8 - 5490*x^7 + 14625*x^6 - 25485*x^5 + 30222*x^4 -
24489*x^3 + 13146*x^2 - 4275*x + 649

Placing the root at 8:  1102
-233*x^9 + 2330*x^8 - 10485*x^7 + 27899*x^6 - 48442*x^5 + 57023*x^4 -
45619*x^3 + 24002*x^2 - 7576*x + 1102

Placing the root at 9:  3211
-869*x^9 + 8690*x^8 - 38872*x^7 + 102183*x^6 - 174163*x^5 + 199904*x^4 -
154825*x^3 + 78233*x^2 - 23491*x + 3211

Placing the root at 1:  522
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17631*x^5 + 21096*x^4 -
17391*x^3 + 9606*x^2 - 3257*x + 522

Placing the root at 2:  679
-118*x^9 + 1180*x^8 - 5310*x^7 + 14160*x^6 - 24752*x^5 + 29540*x^4 -
24192*x^3 + 13189*x^2 - 4375*x + 679

Placing the root at 3:  2297
-561*x^9 + 5610*x^8 - 25127*x^7 + 66258*x^6 - 113562*x^5 + 131488*x^4 -
103138*x^3 + 53040*x^2 - 16304*x + 2297

Placing the root at 5:  1879
-438*x^9 + 4380*x^8 - 19626*x^7 + 51804*x^6 - 88956*x^5 + 103329*x^4 -
81468*x^3 + 42225*x^2 - 13128*x + 1879

Placing the root at 6:  711
-129*x^9 + 1290*x^8 - 5805*x^7 + 15468*x^6 - 26982*x^5 + 32079*x^4 -
26118*x^3 + 14124*x^2 - 4637*x + 711

Placing the root at 7:  832
-151*x^9 + 1510*x^8 - 6795*x^7 + 18120*x^6 - 31667*x^5 + 37751*x^4 -
30819*x^3 + 16687*x^2 - 5467*x + 832

Placing the root at 8:  2702
-681*x^9 + 6810*x^8 - 30494*x^7 + 80361*x^6 - 137574*x^5 + 158971*x^4 -
124285*x^3 + 63585*x^2 - 19394*x + 2702

Placing the root at 0:  615
-108*x^9 + 1080*x^8 - 4860*x^7 + 12951*x^6 - 22599*x^5 + 26895*x^4 -
21951*x^3 + 11931*x^2 - 3953*x + 615

Placing the root at 1:  435
-69*x^9 + 690*x^8 - 3105*x^7 + 8280*x^6 - 14483*x^5 + 17332*x^4 -
14296*x^3 + 7909*x^2 - 2692*x + 435

Placing the root at 2:  575
-99*x^9 + 990*x^8 - 4455*x^7 + 11880*x^6 - 20767*x^5 + 24787*x^4 -
20307*x^3 + 11082*x^2 - 3685*x + 575

Placing the root at 3:  1966
-476*x^9 + 4760*x^8 - 21321*x^7 + 56229*x^6 - 96396*x^5 + 111659*x^4 -
87647*x^3 + 45129*x^2 - 13902*x + 1966

Placing the root at 0:  493
-84*x^9 + 840*x^8 - 3780*x^7 + 10074*x^6 - 17586*x^5 + 20952*x^4 -
17141*x^3 + 9359*x^2 - 3126*x + 493

Placing the root at 5:  1589
-366*x^9 + 3660*x^8 - 16401*x^7 + 43299*x^6 - 74376*x^5 + 86443*x^4 -
68222*x^3 + 35420*x^2 - 11045*x + 1589

Placing the root at 6:  517
-86*x^9 + 860*x^8 - 3870*x^7 + 10320*x^6 - 18048*x^5 + 21576*x^4 -
17739*x^3 + 9741*x^2 - 3270*x + 517

Placing the root at 7:  961
-194*x^9 + 1940*x^8 - 8730*x^7 + 23237*x^6 - 40396*x^5 + 47684*x^4 -
38344*x^3 + 20342*x^2 - 6499*x + 961

Placing the root at 8:  2917
-767*x^9 + 7670*x^8 - 34321*x^7 + 90294*x^6 - 154129*x^5 + 177332*x^4 -
137830*x^3 + 69992*x^2 - 21157*x + 2917

Placing the root at 9:  1814
-431*x^9 + 4310*x^8 - 19309*x^7 + 50946*x^6 - 87414*x^5 + 101400*x^4 -
79770*x^3 + 41205*x^2 - 12750*x + 1814

Placing the root at 1:  369
-57*x^9 + 570*x^8 - 2565*x^7 + 6840*x^6 - 11965*x^5 + 14324*x^4 -
11830*x^3 + 6567*x^2 - 2252*x + 369

Placing the root at 2:  501
-85*x^9 + 850*x^8 - 3825*x^7 + 10200*x^6 - 17831*x^5 + 21287*x^4 -
17451*x^3 + 9540*x^2 - 3185*x + 501

Placing the root at 3:  1740
-416*x^9 + 4160*x^8 - 18635*x^7 + 49155*x^6 - 84300*x^5 + 97711*x^4 -
76783*x^3 + 39609*x^2 - 12240*x + 1740

Placing the root at 0:  383
-60*x^9 + 600*x^8 - 2700*x^7 + 7200*x^6 - 12594*x^5 + 15072*x^4 -
12435*x^3 + 6887*x^2 - 2352*x + 383

Placing the root at 5:  1381
-312*x^9 + 3120*x^8 - 13983*x^7 + 36927*x^6 - 63468*x^5 + 73841*x^4 -
58378*x^3 + 30398*x^2 - 9525*x + 1381

Placing the root at 6:  601
-110*x^9 + 1100*x^8 - 4950*x^7 + 13188*x^6 - 22992*x^5 + 27300*x^4 -
22179*x^3 + 11961*x^2 - 3918*x + 601

Placing the root at 7:  1045
-218*x^9 + 2180*x^8 - 9810*x^7 + 26105*x^6 - 45340*x^5 + 53408*x^4 -
42784*x^3 + 22562*x^2 - 7147*x + 1045

Placing the root at 8:  3085
-827*x^9 + 8270*x^8 - 36997*x^7 + 97278*x^6 - 165877*x^5 + 190532*x^4 -
147730*x^3 + 74768*x^2 - 22501*x + 3085

Placing the root at 9:  1418
-323*x^9 + 3230*x^8 - 14475*x^7 + 38220*x^6 - 65670*x^5 + 76362*x^4 -
60318*x^3 + 31365*x^2 - 9808*x + 1418

Placing the root at 1:  270
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8816*x^5 + 10552*x^4 -
8709*x^3 + 4827*x^2 - 1651*x + 270

Placing the root at 2:  365
-62*x^9 + 620*x^8 - 2790*x^7 + 7440*x^6 - 13006*x^5 + 15526*x^4 -
12726*x^3 + 6954*x^2 - 2320*x + 365

Placing the root at 3:  1268
-303*x^9 + 3030*x^8 - 13573*x^7 + 35802*x^6 - 61398*x^5 + 71162*x^4 -
55916*x^3 + 28842*x^2 - 8913*x + 1268

Placing the root at 5:  1007
-228*x^9 + 2280*x^8 - 10218*x^7 + 26982*x^6 - 46368*x^5 + 53932*x^4 -
42620*x^3 + 22179*x^2 - 6945*x + 1007

Placing the root at 6:  280
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9030*x^5 + 10824*x^4 -
8958*x^3 + 4983*x^2 - 1710*x + 280

Placing the root at 7:  1047
-237*x^9 + 2370*x^8 - 10622*x^7 + 28053*x^6 - 48222*x^5 + 56112*x^4 -
44364*x^3 + 23094*x^2 - 7230*x + 1047

Placing the root at 0:  292
-48*x^9 + 480*x^8 - 2160*x^7 + 5757*x^6 - 10053*x^5 + 11988*x^4 -
9829*x^3 + 5392*x^2 - 1818*x + 292

Placing the root at 1:  237
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7557*x^5 + 9048*x^4 - 7476*x^3
+ 4156*x^2 - 1431*x + 237

Placing the root at 2:  328
-55*x^9 + 550*x^8 - 2475*x^7 + 6600*x^6 - 11538*x^5 + 13776*x^4 -
11298*x^3 + 6183*x^2 - 2070*x + 328

Placing the root at 3:  1155
-273*x^9 + 2730*x^8 - 12230*x^7 + 32265*x^6 - 55350*x^5 + 64188*x^4 -
50484*x^3 + 26082*x^2 - 8082*x + 1155

Placing the root at 5:  903
-201*x^9 + 2010*x^8 - 9009*x^7 + 23796*x^6 - 40914*x^5 + 47631*x^4 -
37698*x^3 + 19668*x^2 - 6185*x + 903

Placing the root at 1:  630
-111*x^9 + 1110*x^8 - 4995*x^7 + 13311*x^6 - 23229*x^5 + 27648*x^4 -
22566*x^3 + 12261*x^2 - 4058*x + 630

Placing the root at 2:  760
-136*x^9 + 1360*x^8 - 6120*x^7 + 16320*x^6 - 28523*x^5 + 34013*x^4 -
27792*x^3 + 15079*x^2 - 4960*x + 760

Placing the root at 3:  2504
-624*x^9 + 6240*x^8 - 27944*x^7 + 73656*x^6 - 126144*x^5 + 145861*x^4 -
114163*x^3 + 58512*x^2 - 17897*x + 2504

Placing the root at 0:  504
-81*x^9 + 810*x^8 - 3645*x^7 + 9720*x^6 - 17001*x^5 + 20340*x^4 -
16764*x^3 + 9258*x^2 - 3140*x + 504

Placing the root at 9:  1819
-423*x^9 + 4230*x^8 - 18954*x^7 + 50031*x^6 - 85914*x^5 + 99801*x^4 -
78696*x^3 + 40800*x^2 - 12693*x + 1819

Placing the root at 1:  939
-171*x^9 + 1710*x^8 - 7695*x^7 + 20504*x^6 - 35766*x^5 + 42520*x^4 -
34614*x^3 + 18712*x^2 - 6138*x + 939

Placing the root at 2:  1093
-199*x^9 + 1990*x^8 - 8955*x^7 + 23880*x^6 - 41733*x^5 + 49749*x^4 -
40609*x^3 + 21981*x^2 - 7196*x + 1093

Placing the root at 3:  3535
-894*x^9 + 8940*x^8 - 40031*x^7 + 105489*x^6 - 180576*x^5 + 208629*x^4 -
163065*x^3 + 83387*x^2 - 25413*x + 3535

Placing the root at 5:  696
-112*x^9 + 1120*x^8 - 5040*x^7 + 13440*x^6 - 23511*x^5 + 28143*x^4 -
23217*x^3 + 12834*x^2 - 4352*x + 696

Placing the root at 6:  1324
-264*x^9 + 2640*x^8 - 11880*x^7 + 31624*x^6 - 54992*x^5 + 64960*x^4 -
52313*x^3 + 27823*x^2 - 8921*x + 1324

Placing the root at 7:  4055
-1060*x^9 + 10600*x^8 - 47436*x^7 + 124824*x^6 - 213152*x^5 + 245392*x^4
- 190904*x^3 + 97063*x^2 - 29381*x + 4055

Placing the root at 0:  817
-144*x^9 + 1440*x^8 - 6480*x^7 + 17268*x^6 - 30132*x^5 + 35860*x^4 -
29267*x^3 + 15904*x^2 - 5265*x + 817

Placing the root at 1:  573
-102*x^9 + 1020*x^8 - 4590*x^7 + 12231*x^6 - 21339*x^5 + 25382*x^4 -
20689*x^3 + 11216*x^2 - 3701*x + 573

Placing the root at 2:  686
-123*x^9 + 1230*x^8 - 5535*x^7 + 14760*x^6 - 25796*x^5 + 30758*x^4 -
25125*x^3 + 13624*x^2 - 4478*x + 686

Placing the root at 3:  2259
-563*x^9 + 5630*x^8 - 25212*x^7 + 66453*x^6 - 113802*x^5 + 131578*x^4 -
102970*x^3 + 52767*x^2 - 16139*x + 2259

Placing the root at 5:  376
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14103*x^4 -
11697*x^3 + 6543*x^2 - 2268*x + 376

Placing the root at 6:  763
-146*x^9 + 1460*x^8 - 6570*x^7 + 17492*x^6 - 30436*x^5 + 36008*x^4 -
29092*x^3 + 15569*x^2 - 5047*x + 763

Placing the root at 7:  2437
-617*x^9 + 6170*x^8 - 27619*x^7 + 72726*x^6 - 124342*x^5 + 143444*x^4 -
111958*x^3 + 57212*x^2 - 17452*x + 2437

Placing the root at 8:  1436
-320*x^9 + 3200*x^8 - 14344*x^7 + 37896*x^6 - 65184*x^5 + 75936*x^4 -
60153*x^3 + 31407*x^2 - 9873*x + 1436

Placing the root at 0:  477
-81*x^9 + 810*x^8 - 3645*x^7 + 9714*x^6 - 16956*x^5 + 20198*x^4 -
16522*x^3 + 9023*x^2 - 3017*x + 477

Placing the root at 1:  519
-90*x^9 + 900*x^8 - 4050*x^7 + 10793*x^6 - 18837*x^5 + 22428*x^4 -
18321*x^3 + 9974*x^2 - 3315*x + 519

Placing the root at 2:  638
-113*x^9 + 1130*x^8 - 5085*x^7 + 13560*x^6 - 23700*x^5 + 28266*x^4 -
23107*x^3 + 12552*x^2 - 4140*x + 638

Placing the root at 3:  2127
-525*x^9 + 5250*x^8 - 23512*x^7 + 61983*x^6 - 106182*x^5 + 122838*x^4 -
96222*x^3 + 49385*x^2 - 15141*x + 2127

Placing the root at 0:  403
-63*x^9 + 630*x^8 - 2835*x^7 + 7560*x^6 - 13224*x^5 + 15828*x^4 -
13064*x^3 + 7241*x^2 - 2475*x + 403

Placing the root at 5:  457
-74*x^9 + 740*x^8 - 3330*x^7 + 8880*x^6 - 15531*x^5 + 18576*x^4 -
15297*x^3 + 8433*x^2 - 2853*x + 457

Placing the root at 6:  871
-173*x^9 + 1730*x^8 - 7785*x^7 + 20723*x^6 - 36034*x^5 + 42560*x^4 -
34267*x^3 + 18224*x^2 - 5848*x + 871

Placing the root at 7:  2689
-698*x^9 + 6980*x^8 - 31237*x^7 + 82203*x^6 - 140389*x^5 + 161660*x^4 -
125818*x^3 + 64025*x^2 - 19414*x + 2689

Placing the root at 8:  1643
-383*x^9 + 3830*x^8 - 17161*x^7 + 45294*x^6 - 77766*x^5 + 90309*x^4 -
71178*x^3 + 36879*x^2 - 11466*x + 1643

Placing the root at 9:  1492
-340*x^9 + 3400*x^8 - 15237*x^7 + 40233*x^6 - 69132*x^5 + 80394*x^4 -
63510*x^3 + 33028*x^2 - 10327*x + 1492

Placing the root at 1:  741
-129*x^9 + 1290*x^8 - 5805*x^7 + 15470*x^6 - 27000*x^5 + 32148*x^4 -
26262*x^3 + 14296*x^2 - 4748*x + 741

Placing the root at 2:  905
-161*x^9 + 1610*x^8 - 7245*x^7 + 19320*x^6 - 33767*x^5 + 40271*x^4 -
32917*x^3 + 17875*x^2 - 5890*x + 905

Placing the root at 3:  2999
-744*x^9 + 7440*x^8 - 33319*x^7 + 87831*x^6 - 150444*x^5 + 174007*x^4 -
136255*x^3 + 69887*x^2 - 21401*x + 2999

Placing the root at 0:  577
-90*x^9 + 900*x^8 - 4050*x^7 + 10800*x^6 - 18894*x^5 + 22626*x^4 -
18695*x^3 + 10378*x^2 - 3551*x + 577

Placing the root at 5:  903
-166*x^9 + 1660*x^8 - 7470*x^7 + 19902*x^6 - 34698*x^5 + 41202*x^4 -
33477*x^3 + 18054*x^2 - 5909*x + 903

Placing the root at 6:  1558
-327*x^9 + 3270*x^8 - 14715*x^7 + 39157*x^6 - 68006*x^5 + 80098*x^4 -
64148*x^3 + 33808*x^2 - 10694*x + 1558

Placing the root at 7:  4559
-1231*x^9 + 12310*x^8 - 55068*x^7 + 144777*x^6 - 246821*x^5 + 283408*x^4
- 219614*x^3 + 111040*x^2 - 33359*x + 4559

Placing the root at 8:  1130
-221*x^9 + 2210*x^8 - 9945*x^7 + 26475*x^6 - 46050*x^5 + 54432*x^4 -
43896*x^3 + 23412*x^2 - 7546*x + 1130

Placing the root at 9:  3533
-909*x^9 + 9090*x^8 - 40684*x^7 + 107091*x^6 - 182979*x^5 + 210864*x^4 -
164304*x^3 + 83748*x^2 - 25449*x + 3533

Placing the root at 1:  429
-72*x^9 + 720*x^8 - 3240*x^7 + 8635*x^6 - 15075*x^5 + 17964*x^4 -
14705*x^3 + 8042*x^2 - 2697*x + 429

Placing the root at 2:  546
-95*x^9 + 950*x^8 - 4275*x^7 + 11400*x^6 - 19926*x^5 + 23772*x^4 -
19451*x^3 + 10590*x^2 - 3510*x + 546

Placing the root at 3:  1855
-451*x^9 + 4510*x^8 - 20200*x^7 + 53265*x^6 - 91290*x^5 + 105696*x^4 -
82908*x^3 + 42649*x^2 - 13125*x + 1855

Placing the root at 5:  520
-92*x^9 + 920*x^8 - 4140*x^7 + 11031*x^6 - 19239*x^5 + 22869*x^4 -
18627*x^3 + 10098*x^2 - 3339*x + 520

Placing the root at 6:  934
-191*x^9 + 1910*x^8 - 8595*x^7 + 22874*x^6 - 39742*x^5 + 46853*x^4 -
37597*x^3 + 19889*x^2 - 6334*x + 934

Placing the root at 7:  2815
-743*x^9 + 7430*x^8 - 33244*x^7 + 87441*x^6 - 149200*x^5 + 171560*x^4 -
133243*x^3 + 67607*x^2 - 20422*x + 2815

Placing the root at 8:  1220
-266*x^9 + 2660*x^8 - 11925*x^7 + 31515*x^6 - 54240*x^5 + 63252*x^4 -
50196*x^3 + 26292*x^2 - 8311*x + 1220

Placing the root at 0:  311
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9450*x^5 + 11334*x^4 -
9408*x^3 + 5279*x^2 - 1845*x + 311

Placing the root at 1:  345
-60*x^9 + 600*x^8 - 2700*x^7 + 7195*x^6 - 12555*x^5 + 14941*x^4 -
12193*x^3 + 6628*x^2 - 2200*x + 345

Placing the root at 2:  425
-75*x^9 + 750*x^8 - 3375*x^7 + 9000*x^6 - 15730*x^5 + 18760*x^4 -
15335*x^3 + 8330*x^2 - 2749*x + 425

Placing the root at 3:  1426
-350*x^9 + 3500*x^8 - 15675*x^7 + 41325*x^6 - 70800*x^5 + 81920*x^4 -
64190*x^3 + 32965*x^2 - 10120*x + 1426

Placing the root at 5:  202
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7056*x^4 - 5871*x^3
+ 3315*x^2 - 1173*x + 202

Placing the root at 6:  819
-174*x^9 + 1740*x^8 - 7802*x^7 + 20628*x^6 - 35532*x^5 + 41496*x^4 -
33012*x^3 + 17361*x^2 - 5523*x + 819

Placing the root at 0:  275
-45*x^9 + 450*x^8 - 2025*x^7 + 5397*x^6 - 9423*x^5 + 11233*x^4 -
9206*x^3 + 5050*x^2 - 1705*x + 275

Placing the root at 1:  318
-54*x^9 + 540*x^8 - 2430*x^7 + 6476*x^6 - 11304*x^5 + 13464*x^4 -
11009*x^3 + 6007*x^2 - 2007*x + 318

Placing the root at 2:  401
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14682*x^5 + 17514*x^4 -
14326*x^3 + 7794*x^2 - 2580*x + 401

Placing the root at 3:  1360
-331*x^9 + 3310*x^8 - 14825*x^7 + 39090*x^6 - 66990*x^5 + 77550*x^4 -
60816*x^3 + 31274*x^2 - 9621*x + 1360

Placing the root at 5:  247
-37*x^9 + 370*x^8 - 1665*x^7 + 4440*x^6 - 7770*x^5 + 9315*x^4 - 7716*x^3
+ 4305*x^2 - 1488*x + 247

Placing the root at 6:  945
-210*x^9 + 2100*x^8 - 9413*x^7 + 24867*x^6 - 42768*x^5 + 49812*x^4 -
39447*x^3 + 20592*x^2 - 6477*x + 945

Placing the root at 0:  238
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7557*x^5 + 9048*x^4 - 7477*x^3
+ 4159*x^2 - 1434*x + 238

Placing the root at 9:  910
-202*x^9 + 2020*x^8 - 9054*x^7 + 23916*x^6 - 41124*x^5 + 47883*x^4 -
37908*x^3 + 19787*x^2 - 6227*x + 910

Placing the root at 1:  474
-81*x^9 + 810*x^8 - 3645*x^7 + 9714*x^6 - 16956*x^5 + 20196*x^4 -
16513*x^3 + 9008*x^2 - 3006*x + 474

Placing the root at 2:  592
-104*x^9 + 1040*x^8 - 4680*x^7 + 12480*x^6 - 21813*x^5 + 26019*x^4 -
21279*x^3 + 11571*x^2 - 3825*x + 592

Placing the root at 3:  1991
-488*x^9 + 4880*x^8 - 21856*x^7 + 57624*x^6 - 98736*x^5 + 114267*x^4 -
89565*x^3 + 46017*x^2 - 14133*x + 1991

Placing the root at 5:  493
-83*x^9 + 830*x^8 - 3735*x^7 + 9960*x^6 - 17412*x^5 + 20790*x^4 -
17052*x^3 + 9333*x^2 - 3123*x + 493

Placing the root at 6:  1724
-410*x^9 + 4100*x^8 - 18367*x^7 + 48453*x^6 - 83112*x^5 + 96366*x^4 -
75768*x^3 + 39120*x^2 - 12105*x + 1724

Placing the root at 0:  357
-54*x^9 + 540*x^8 - 2430*x^7 + 6480*x^6 - 11337*x^5 + 13581*x^4 -
11236*x^3 + 6260*x^2 - 2160*x + 357

Placing the root at 8:  720
-138*x^9 + 1380*x^8 - 6210*x^7 + 16533*x^6 - 28764*x^5 + 34020*x^4 -
27471*x^3 + 14691*x^2 - 4760*x + 720

Placing the root at 9:  2302
-582*x^9 + 5820*x^8 - 26052*x^7 + 68598*x^6 - 117279*x^5 + 135288*x^4 -
105588*x^3 + 53961*x^2 - 16467*x + 2302

Placing the root at 1:  273
-45*x^9 + 450*x^8 - 2025*x^7 + 5397*x^6 - 9423*x^5 + 11232*x^4 -
9201*x^3 + 5041*x^2 - 1698*x + 273

Placing the root at 2:  355
-61*x^9 + 610*x^8 - 2745*x^7 + 7320*x^6 - 12795*x^5 + 15267*x^4 -
12498*x^3 + 6813*x^2 - 2265*x + 355

Placing the root at 3:  1224
-294*x^9 + 2940*x^8 - 13169*x^7 + 34731*x^6 - 59544*x^5 + 68979*x^4 -
54159*x^3 + 27906*x^2 - 8613*x + 1224

Placing the root at 5:  283
-46*x^9 + 460*x^8 - 2070*x^7 + 5520*x^6 - 9651*x^5 + 11529*x^4 -
9471*x^3 + 5205*x^2 - 1758*x + 283

Placing the root at 6:  1026
-237*x^9 + 2370*x^8 - 10619*x^7 + 28026*x^6 - 48114*x^5 + 55869*x^4 -
44037*x^3 + 22833*x^2 - 7116*x + 1026

Placing the root at 8:  774
-165*x^9 + 1650*x^8 - 7398*x^7 + 19557*x^6 - 33678*x^5 + 39312*x^4 -
31251*x^3 + 16419*x^2 - 5219*x + 774

Placing the root at 0:  192
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5670*x^5 + 6801*x^4 - 5649*x^3
+ 3178*x^2 - 1119*x + 192

Placing the root at 1:  363
-60*x^9 + 600*x^8 - 2700*x^7 + 7196*x^6 - 12564*x^5 + 14976*x^4 -
12268*x^3 + 6721*x^2 - 2263*x + 363

Placing the root at 2:  470
-81*x^9 + 810*x^8 - 3645*x^7 + 9720*x^6 - 16990*x^5 + 20272*x^4 -
16594*x^3 + 9044*x^2 - 3005*x + 470

Placing the root at 3:  1614
-389*x^9 + 3890*x^8 - 17424*x^7 + 45951*x^6 - 78774*x^5 + 91244*x^4 -
71624*x^3 + 36890*x^2 - 11377*x + 1614

Placing the root at 5:  547
-101*x^9 + 1010*x^8 - 4545*x^7 + 12102*x^6 - 21066*x^5 + 24948*x^4 -
20202*x^3 + 10863*x^2 - 3555*x + 547

Placing the root at 6:  1814
-446*x^9 + 4460*x^8 - 19969*x^7 + 52611*x^6 - 90042*x^5 + 104052*x^4 -
81438*x^3 + 41802*x^2 - 12843*x + 1814

Placing the root at 0:  256
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7560*x^5 + 9069*x^4 - 7536*x^3
+ 4243*x^2 - 1495*x + 256

Placing the root at 9:  1029
-220*x^9 + 2200*x^8 - 9864*x^7 + 26076*x^6 - 44904*x^5 + 52416*x^4 -
41667*x^3 + 21888*x^2 - 6953*x + 1029

Placing the root at 1:  207
-33*x^9 + 330*x^8 - 1485*x^7 + 3958*x^6 - 6912*x^5 + 8244*x^4 - 6764*x^3
+ 3720*x^2 - 1264*x + 207

Placing the root at 2:  279
-47*x^9 + 470*x^8 - 2115*x^7 + 5640*x^6 - 9859*x^5 + 11767*x^4 -
9641*x^3 + 5267*x^2 - 1760*x + 279

Placing the root at 3:  983
-232*x^9 + 2320*x^8 - 10393*x^7 + 27417*x^6 - 47028*x^5 + 54527*x^4 -
42875*x^3 + 22147*x^2 - 6865*x + 983

Placing the root at 5:  310
-55*x^9 + 550*x^8 - 2475*x^7 + 6591*x^6 - 11478*x^5 + 13608*x^4 -
11046*x^3 + 5970*x^2 - 1974*x + 310

Placing the root at 6:  1071
-255*x^9 + 2550*x^8 - 11420*x^7 + 30105*x^6 - 51579*x^5 + 59712*x^4 -
46872*x^3 + 24174*x^2 - 7485*x + 1071

Placing the root at 7:  583
-119*x^9 + 1190*x^8 - 5337*x^7 + 14118*x^6 - 24342*x^5 + 28476*x^4 -
22722*x^3 + 12015*x^2 - 3861*x + 583

Placing the root at 0:  137
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4536*x^4 - 3777*x^3
+ 2142*x^2 - 769*x + 137

Placing the root at 1:  392
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14107*x^4 -
11720*x^3 + 6592*x^2 - 2314*x + 392

Placing the root at 2:  824
-154*x^9 + 1540*x^8 - 6930*x^7 + 18452*x^6 - 32116*x^5 + 38024*x^4 -
30772*x^3 + 16525*x^2 - 5392*x + 824

Placing the root at 3:  2694
-670*x^9 + 6700*x^8 - 29996*x^7 + 79014*x^6 - 135184*x^5 + 156128*x^4 -
122080*x^3 + 62564*x^2 - 19169*x + 2694

Placing the root at 0:  585
-100*x^9 + 1000*x^8 - 4500*x^7 + 11992*x^6 - 20928*x^5 + 24916*x^4 -
20360*x^3 + 11102*x^2 - 3706*x + 585

Placing the root at 6:  1550
-336*x^9 + 3360*x^8 - 15064*x^7 + 39816*x^6 - 68544*x^5 + 79968*x^4 -
63509*x^3 + 33304*x^2 - 10544*x + 1550

Placing the root at 7:  859
-162*x^9 + 1620*x^8 - 7290*x^7 + 19420*x^6 - 33840*x^5 + 40128*x^4 -
32512*x^3 + 17448*x^2 - 5670*x + 859

Placing the root at 8:  1452
-308*x^9 + 3080*x^8 - 13860*x^7 + 36879*x^6 - 64032*x^5 + 75368*x^4 -
60284*x^3 + 31706*x^2 - 10000*x + 1452

Placing the root at 9:  4212
-1144*x^9 + 11440*x^8 - 51172*x^7 + 134508*x^6 - 229233*x^5 + 263064*x^4
- 203680*x^3 + 102868*x^2 - 30862*x + 4212

Placing the root at 1:  580
-92*x^9 + 920*x^8 - 4140*x^7 + 11040*x^6 - 19313*x^5 + 23121*x^4 -
19084*x^3 + 10566*x^2 - 3597*x + 580

Placing the root at 2:  1120
-221*x^9 + 2210*x^8 - 9945*x^7 + 26474*x^6 - 46042*x^5 + 54404*x^4 -
43841*x^3 + 23349*x^2 - 7507*x + 1120

Placing the root at 3:  3472
-899*x^9 + 8990*x^8 - 40234*x^7 + 105891*x^6 - 180880*x^5 + 208352*x^4 -
162232*x^3 + 82603*x^2 - 25062*x + 3472

Placing the root at 0:  655
-112*x^9 + 1120*x^8 - 5040*x^7 + 13432*x^6 - 23448*x^5 + 27936*x^4 -
22854*x^3 + 12476*x^2 - 4164*x + 655

Placing the root at 6:  683
-114*x^9 + 1140*x^8 - 5130*x^7 + 13680*x^6 - 23924*x^5 + 28600*x^4 -
23512*x^3 + 12908*x^2 - 4330*x + 683

Placing the root at 7:  1264
-256*x^9 + 2560*x^8 - 11520*x^7 + 30663*x^6 - 53304*x^5 + 62916*x^4 -
50584*x^3 + 26826*x^2 - 8564*x + 1264

Placing the root at 8:  3820
-1008*x^9 + 10080*x^8 - 45104*x^7 + 118656*x^6 - 202521*x^5 + 232968*x^4
- 181020*x^3 + 91880*x^2 - 27750*x + 3820

Placing the root at 9:  2386
-569*x^9 + 5690*x^8 - 25491*x^7 + 67254*x^6 - 115386*x^5 + 133828*x^4 -
105254*x^3 + 54344*x^2 - 16801*x + 2386

Placing the root at 1:  492
-76*x^9 + 760*x^8 - 3420*x^7 + 9120*x^6 - 15955*x^5 + 19107*x^4 -
15790*x^3 + 8772*x^2 - 3009*x + 492

Placing the root at 2:  974
-189*x^9 + 1890*x^8 - 8505*x^7 + 22642*x^6 - 39386*x^5 + 46564*x^4 -
37567*x^3 + 20055*x^2 - 6477*x + 974

Placing the root at 3:  3074
-785*x^9 + 7850*x^8 - 35136*x^7 + 92499*x^6 - 158084*x^5 + 182248*x^4 -
142100*x^3 + 72509*x^2 - 22074*x + 3074

Placing the root at 0:  509
-80*x^9 + 800*x^8 - 3600*x^7 + 9600*x^6 - 16792*x^5 + 20096*x^4 -
16580*x^3 + 9182*x^2 - 3134*x + 509

Placing the root at 6:  795
-146*x^9 + 1460*x^8 - 6570*x^7 + 17504*x^6 - 30516*x^5 + 36232*x^4 -
29432*x^3 + 15868*x^2 - 5194*x + 795

Placing the root at 7:  1376
-288*x^9 + 2880*x^8 - 12960*x^7 + 34487*x^6 - 59896*x^5 + 70548*x^4 -
56504*x^3 + 29786*x^2 - 9428*x + 1376

Placing the root at 8:  4044
-1088*x^9 + 10880*x^8 - 48672*x^7 + 127968*x^6 - 218185*x^5 + 250568*x^4
- 194220*x^3 + 98248*x^2 - 29542*x + 4044

Placing the root at 9:  1876
-429*x^9 + 4290*x^8 - 19225*x^7 + 50760*x^6 - 87210*x^5 + 101396*x^4 -
80074*x^3 + 41620*x^2 - 13003*x + 1876

Placing the root at 1:  360
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11756*x^5 + 14076*x^4 -
11625*x^3 + 6448*x^2 - 2206*x + 360

Placing the root at 2:  710
-138*x^9 + 1380*x^8 - 6210*x^7 + 16532*x^6 - 28756*x^5 + 33992*x^4 -
27416*x^3 + 14628*x^2 - 4721*x + 710

Placing the root at 3:  2241
-572*x^9 + 5720*x^8 - 25602*x^7 + 67398*x^6 - 115180*x^5 + 132776*x^4 -
103516*x^3 + 52816*x^2 - 16080*x + 2241

Placing the root at 6:  370
-57*x^9 + 570*x^8 - 2565*x^7 + 6840*x^6 - 11970*x^5 + 14348*x^4 -
11874*x^3 + 6604*x^2 - 2265*x + 370

Placing the root at 7:  1378
-313*x^9 + 3130*x^8 - 14028*x^7 + 37047*x^6 - 63678*x^5 + 74088*x^4 -
58564*x^3 + 30474*x^2 - 9533*x + 1378

Placing the root at 0:  388
-64*x^9 + 640*x^8 - 2880*x^7 + 7676*x^6 - 13404*x^5 + 15984*x^4 -
13105*x^3 + 7188*x^2 - 2422*x + 388

Placing the root at 1:  316
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10077*x^5 + 12069*x^4 -
9978*x^3 + 5551*x^2 - 1912*x + 316

Placing the root at 2:  637
-122*x^9 + 1220*x^8 - 5490*x^7 + 14616*x^6 - 25428*x^5 + 30072*x^4 -
24279*x^3 + 12981*x^2 - 4206*x + 637

Placing the root at 3:  2042
-515*x^9 + 5150*x^8 - 23053*x^7 + 60702*x^6 - 103782*x^5 + 119724*x^4 -
93450*x^3 + 47769*x^2 - 14586*x + 2042

Placing the root at 6:  434
-73*x^9 + 730*x^8 - 3285*x^7 + 8760*x^6 - 15314*x^5 + 18284*x^4 -
14994*x^3 + 8204*x^2 - 2745*x + 434

Placing the root at 7:  1522
-361*x^9 + 3610*x^8 - 16172*x^7 + 42663*x^6 - 73182*x^5 + 84856*x^4 -
66724*x^3 + 34458*x^2 - 10669*x + 1522

Placing the root at 0:  315
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10076*x^5 + 12064*x^4 -
9968*x^3 + 5541*x^2 - 1907*x + 315

Placing the root at 9:  1195
-267*x^9 + 2670*x^8 - 11967*x^7 + 31608*x^6 - 54342*x^5 + 63256*x^4 -
50054*x^3 + 26104*x^2 - 8202*x + 1195

Placing the root at 1:  420
-64*x^9 + 640*x^8 - 2880*x^7 + 7680*x^6 - 13436*x^5 + 16092*x^4 -
13304*x^3 + 7401*x^2 - 2548*x + 420

Placing the root at 2:  843
-162*x^9 + 1620*x^8 - 7290*x^7 + 19408*x^6 - 33764*x^5 + 39928*x^4 -
32232*x^3 + 17228*x^2 - 5578*x + 843

Placing the root at 3:  2690
-681*x^9 + 6810*x^8 - 30483*x^7 + 80262*x^6 - 137210*x^5 + 158260*x^4 -
123494*x^3 + 63096*x^2 - 19249*x + 2690

Placing the root at 1:  210
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7056*x^4 - 5875*x^3
+ 3330*x^2 - 1192*x + 210

Placing the root at 2:  468
-84*x^9 + 840*x^8 - 3780*x^7 + 10066*x^6 - 17528*x^5 + 20776*x^4 -
16856*x^3 + 9100*x^2 - 3001*x + 468

Placing the root at 3:  1595
-384*x^9 + 3840*x^8 - 17196*x^7 + 45324*x^6 - 77630*x^5 + 89824*x^4 -
70448*x^3 + 36280*x^2 - 11204*x + 1595

Placing the root at 4:  880
-182*x^9 + 1820*x^8 - 8162*x^7 + 21588*x^6 - 37212*x^5 + 43512*x^4 -
34692*x^3 + 18317*x^2 - 5868*x + 880

Placing the root at 0:  334
-55*x^9 + 550*x^8 - 2475*x^7 + 6596*x^6 - 11514*x^5 + 13718*x^4 -
11230*x^3 + 6150*x^2 - 2073*x + 334

Placing the root at 7:  511
-94*x^9 + 940*x^8 - 4230*x^7 + 11269*x^6 - 19641*x^5 + 23305*x^4 -
18909*x^3 + 10179*x^2 - 3329*x + 511

Placing the root at 8:  889
-185*x^9 + 1850*x^8 - 8325*x^7 + 22153*x^6 - 38474*x^5 + 45315*x^4 -
36295*x^3 + 19139*x^2 - 6066*x + 889

Placing the root at 9:  2639
-704*x^9 + 7040*x^8 - 31495*x^7 + 82815*x^6 - 141227*x^5 + 162244*x^4 -
125835*x^3 + 63725*x^2 - 19201*x + 2639

Placing the root at 1:  313
-46*x^9 + 460*x^8 - 2070*x^7 + 5520*x^6 - 9660*x^5 + 11585*x^4 -
9611*x^3 + 5382*x^2 - 1872*x + 313

Placing the root at 2:  644
-122*x^9 + 1220*x^8 - 5490*x^7 + 14617*x^6 - 25436*x^5 + 30100*x^4 -
24332*x^3 + 13037*x^2 - 4237*x + 644

Placing the root at 3:  2081
-522*x^9 + 5220*x^8 - 23368*x^7 + 61542*x^6 - 105251*x^5 + 121480*x^4 -
94892*x^3 + 48556*x^2 - 14845*x + 2081

Placing the root at 4:  1212
-267*x^9 + 2670*x^8 - 11969*x^7 + 31626*x^6 - 54414*x^5 + 63420*x^4 -
50281*x^3 + 26293*x^2 - 8289*x + 1212

Placing the root at 0:  382
-63*x^9 + 630*x^8 - 2835*x^7 + 7556*x^6 - 13194*x^5 + 15732*x^4 -
12896*x^3 + 7072*x^2 - 2383*x + 382

Placing the root at 6:  416
-68*x^9 + 680*x^8 - 3060*x^7 + 8160*x^6 - 14271*x^5 + 17064*x^4 -
14039*x^3 + 7724*x^2 - 2605*x + 416

Placing the root at 7:  788
-157*x^9 + 1570*x^8 - 7065*x^7 + 18806*x^6 - 32698*x^5 + 38612*x^4 -
31075*x^3 + 16514*x^2 - 5294*x + 788

Placing the root at 8:  2429
-631*x^9 + 6310*x^8 - 28238*x^7 + 74307*x^6 - 126892*x^5 + 146096*x^4 -
113680*x^3 + 57833*x^2 - 17533*x + 2429

Placing the root at 9:  1487
-348*x^9 + 3480*x^8 - 15592*x^7 + 41148*x^6 - 70632*x^5 + 81993*x^4 -
64584*x^3 + 33433*x^2 - 10384*x + 1487

Placing the root at 1:  265
-38*x^9 + 380*x^8 - 1710*x^7 + 4560*x^6 - 7980*x^5 + 9571*x^4 - 7945*x^3
+ 4460*x^2 - 1562*x + 265

Placing the root at 2:  558
-104*x^9 + 1040*x^8 - 4680*x^7 + 12461*x^6 - 21688*x^5 + 25676*x^4 -
20776*x^3 + 11155*x^2 - 3641*x + 558

Placing the root at 3:  1835
-454*x^9 + 4540*x^8 - 20326*x^7 + 53544*x^6 - 91615*x^5 + 105824*x^4 -
82768*x^3 + 42440*x^2 - 13019*x + 1835

Placing the root at 4:  1050
-227*x^9 + 2270*x^8 - 10177*x^7 + 26898*x^6 - 46302*x^5 + 54012*x^4 -
42887*x^3 + 22487*x^2 - 7123*x + 1050

Placing the root at 0:  296
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9446*x^5 + 11308*x^4 -
9340*x^3 + 5190*x^2 - 1787*x + 296

Placing the root at 6:  479
-86*x^9 + 860*x^8 - 3870*x^7 + 10311*x^6 - 17979*x^5 + 21357*x^4 -
17369*x^3 + 9389*x^2 - 3091*x + 479

Placing the root at 7:  851
-175*x^9 + 1750*x^8 - 7875*x^7 + 20957*x^6 - 36406*x^5 + 42905*x^4 -
34405*x^3 + 18179*x^2 - 5780*x + 851

Placing the root at 8:  2555
-676*x^9 + 6760*x^8 - 30245*x^7 + 79545*x^6 - 135703*x^5 + 155996*x^4 -
121105*x^3 + 61415*x^2 - 18541*x + 2555

Placing the root at 9:  1128
-251*x^9 + 2510*x^8 - 11250*x^7 + 29715*x^6 - 51090*x^5 + 59476*x^4 -
47072*x^3 + 24560*x^2 - 7725*x + 1128

Placing the root at 1:  194
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7052*x^4 - 5852*x^3
+ 3281*x^2 - 1146*x + 194

Placing the root at 2:  407
-76*x^9 + 760*x^8 - 3420*x^7 + 9106*x^6 - 15848*x^5 + 18760*x^4 -
15176*x^3 + 8144*x^2 - 2656*x + 407

Placing the root at 3:  1338
-331*x^9 + 3310*x^8 - 14819*x^7 + 39036*x^6 - 66788*x^5 + 77140*x^4 -
60326*x^3 + 30928*x^2 - 9487*x + 1338

Placing the root at 4:  766
-166*x^9 + 1660*x^8 - 7442*x^7 + 19668*x^6 - 33852*x^5 + 39480*x^4 -
31336*x^3 + 16420*x^2 - 5197*x + 766

Placing the root at 6:  225
-34*x^9 + 340*x^8 - 1530*x^7 + 4080*x^6 - 7140*x^5 + 8559*x^4 - 7086*x^3
+ 3947*x^2 - 1360*x + 225

Placing the root at 7:  856
-191*x^9 + 1910*x^8 - 8561*x^7 + 22614*x^6 - 38886*x^5 + 45276*x^4 -
35835*x^3 + 18690*x^2 - 5872*x + 856

Placing the root at 0:  226
-36*x^9 + 360*x^8 - 1620*x^7 + 4318*x^6 - 7542*x^5 + 9000*x^4 - 7392*x^3
+ 4071*x^2 - 1384*x + 226

Placing the root at 1:  170
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6045*x^4 - 5019*x^3
+ 2820*x^2 - 991*x + 170

Placing the root at 2:  364
-67*x^9 + 670*x^8 - 3015*x^7 + 8028*x^6 - 13974*x^5 + 16548*x^4 -
13398*x^3 + 7203*x^2 - 2358*x + 364

Placing the root at 3:  1215
-297*x^9 + 2970*x^8 - 13298*x^7 + 35037*x^6 - 59970*x^5 + 69312*x^4 -
54264*x^3 + 27870*x^2 - 8574*x + 1215

Placing the root at 4:  685
-146*x^9 + 1460*x^8 - 6546*x^7 + 17304*x^6 - 29796*x^5 + 34776*x^4 -
27639*x^3 + 14517*x^2 - 4614*x + 685

Placing the root at 6:  261
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9021*x^5 + 10773*x^4 -
8841*x^3 + 4847*x^2 - 1630*x + 261

Placing the root at 7:  937
-218*x^9 + 2180*x^8 - 9767*x^7 + 25773*x^6 - 44232*x^5 + 51333*x^4 -
40425*x^3 + 20931*x^2 - 6511*x + 937

Placing the root at 0:  183
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5668*x^5 + 6788*x^4 - 5614*x^3
+ 3130*x^2 - 1086*x + 183

Placing the root at 9:  717
-156*x^9 + 1560*x^8 - 6993*x^7 + 18477*x^6 - 31788*x^5 + 37046*x^4 -
29374*x^3 + 15374*x^2 - 4862*x + 717

Placing the root at 1:  226
-32*x^9 + 320*x^8 - 1440*x^7 + 3840*x^6 - 6720*x^5 + 8060*x^4 - 6692*x^3
+ 3760*x^2 - 1321*x + 226

Placing the root at 2:  482
-89*x^9 + 890*x^8 - 4005*x^7 + 10664*x^6 - 18562*x^5 + 21980*x^4 -
17794*x^3 + 9564*x^2 - 3129*x + 482

Placing the root at 3:  1602
-393*x^9 + 3930*x^8 - 17596*x^7 + 46359*x^6 - 79342*x^5 + 91688*x^4 -
71764*x^3 + 36842*x^2 - 11325*x + 1602

Placing the root at 4:  907
-194*x^9 + 1940*x^8 - 8698*x^7 + 22992*x^6 - 39588*x^5 + 46200*x^4 -
36712*x^3 + 19276*x^2 - 6122*x + 907

Placing the root at 6:  506
-95*x^9 + 950*x^8 - 4275*x^7 + 11382*x^6 - 19806*x^5 + 23436*x^4 -
18944*x^3 + 10154*x^2 - 3307*x + 506

Placing the root at 7:  1658
-411*x^9 + 4110*x^8 - 18400*x^7 + 48465*x^6 - 82908*x^5 + 95736*x^4 -
74844*x^3 + 38356*x^2 - 11761*x + 1658

Placing the root at 0:  244
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7558*x^5 + 9054*x^4 - 7492*x^3
+ 4180*x^2 - 1451*x + 244

Placing the root at 1:  131
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4534*x^4 - 3766*x^3
+ 2120*x^2 - 750*x + 131

Placing the root at 2:  288
-52*x^9 + 520*x^8 - 2340*x^7 + 6231*x^6 - 10848*x^5 + 12852*x^4 -
10416*x^3 + 5612*x^2 - 1846*x + 288

Placing the root at 3:  982
-236*x^9 + 2360*x^8 - 10568*x^7 + 27852*x^6 - 47697*x^5 + 55176*x^4 -
43260*x^3 + 22272*x^2 - 6880*x + 982

Placing the root at 4:  542
-113*x^9 + 1130*x^8 - 5067*x^7 + 13398*x^6 - 23082*x^5 + 26964*x^4 -
21464*x^3 + 11306*x^2 - 3613*x + 542

Placing the root at 1:  376
-60*x^9 + 600*x^8 - 2700*x^7 + 7200*x^6 - 12593*x^5 + 15064*x^4 -
12411*x^3 + 6852*x^2 - 2327*x + 376

Placing the root at 2:  728
-143*x^9 + 1430*x^8 - 6435*x^7 + 17130*x^6 - 29790*x^5 + 35196*x^4 -
28357*x^3 + 15102*x^2 - 4860*x + 728

Placing the root at 3:  2277
-585*x^9 + 5850*x^8 - 26182*x^7 + 68913*x^6 - 117732*x^5 + 135648*x^4 -
105672*x^3 + 53855*x^2 - 16371*x + 2277

Placing the root at 4:  1373
-316*x^9 + 3160*x^8 - 14160*x^7 + 37380*x^6 - 64200*x^5 + 74599*x^4 -
58856*x^3 + 30549*x^2 - 9528*x + 1373

Placing the root at 0:  322
-49*x^9 + 490*x^8 - 2205*x^7 + 5880*x^6 - 10286*x^5 + 12316*x^4 -
10178*x^3 + 5660*x^2 - 1949*x + 322

Placing the root at 9:  1222
-273*x^9 + 2730*x^8 - 12236*x^7 + 32319*x^6 - 55566*x^5 + 64684*x^4 -
51188*x^3 + 26698*x^2 - 8389*x + 1222

Placing the root at 1:  537
-86*x^9 + 860*x^8 - 3870*x^7 + 10320*x^6 - 18050*x^5 + 21592*x^4 -
17790*x^3 + 9822*x^2 - 3334*x + 537

Placing the root at 0:  461
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14696*x^5 + 17604*x^4 -
14562*x^3 + 8110*x^2 - 2796*x + 461

Placing the root at 2:  1034
-204*x^9 + 2040*x^8 - 9180*x^7 + 24437*x^6 - 42496*x^5 + 50204*x^4 -
40442*x^3 + 21530*x^2 - 6922*x + 1034

Placing the root at 3:  3214
-830*x^9 + 8300*x^8 - 37146*x^7 + 97764*x^6 - 166999*x^5 + 192368*x^4 -
149800*x^3 + 76294*x^2 - 23164*x + 3214

Placing the root at 4:  1950
-451*x^9 + 4510*x^8 - 20209*x^7 + 53346*x^6 - 91614*x^5 + 106438*x^4 -
83954*x^3 + 43554*x^2 - 13569*x + 1950

Placing the root at 5:  741
-134*x^9 + 1340*x^8 - 6030*x^7 + 16066*x^6 - 28014*x^5 + 33278*x^4 -
27064*x^3 + 14626*x^2 - 4808*x + 741

Placing the root at 6:  1302
-270*x^9 + 2700*x^8 - 12150*x^7 + 32333*x^6 - 56164*x^5 + 66178*x^4 -
53046*x^3 + 28004*x^2 - 8886*x + 1302

Placing the root at 7:  3864
-1032*x^9 + 10320*x^8 - 46170*x^7 + 121410*x^6 - 207067*x^5 + 237920*x^4
- 184562*x^3 + 93474*x^2 - 28156*x + 3864

Placing the root at 8:  926
-178*x^9 + 1780*x^8 - 8010*x^7 + 21325*x^6 - 37100*x^5 + 43876*x^4 -
35424*x^3 + 18938*x^2 - 6132*x + 926

Placing the root at 9:  2950
-748*x^9 + 7480*x^8 - 33482*x^7 + 88158*x^6 - 150707*x^5 + 173824*x^4 -
135632*x^3 + 69288*x^2 - 21130*x + 2950

Placing the root at 1:  310
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10075*x^5 + 12056*x^4 -
9945*x^3 + 5510*x^2 - 1887*x + 310

Placing the root at 2:  618
-119*x^9 + 1190*x^8 - 5355*x^7 + 14256*x^6 - 24798*x^5 + 29316*x^4 -
23651*x^3 + 12630*x^2 - 4086*x + 618

Placing the root at 3:  1975
-499*x^9 + 4990*x^8 - 22336*x^7 + 58809*x^6 - 100530*x^5 + 115944*x^4 -
90468*x^3 + 46225*x^2 - 14109*x + 1975

Placing the root at 4:  1165
-262*x^9 + 2620*x^8 - 11742*x^7 + 31008*x^6 - 53292*x^5 + 61997*x^4 -
49012*x^3 + 25527*x^2 - 8008*x + 1165

Placing the root at 5:  425
-74*x^9 + 740*x^8 - 3330*x^7 + 8873*x^6 - 15477*x^5 + 18403*x^4 -
15001*x^3 + 8147*x^2 - 2705*x + 425

Placing the root at 6:  777
-157*x^9 + 1570*x^8 - 7065*x^7 + 18803*x^6 - 32674*x^5 + 38535*x^4 -
30947*x^3 + 16397*x^2 - 5238*x + 777

Placing the root at 7:  2375
-620*x^9 + 6200*x^8 - 27743*x^7 + 72987*x^6 - 124585*x^5 + 143348*x^4 -
111447*x^3 + 56641*x^2 - 17155*x + 2375

Placing the root at 8:  996
-213*x^9 + 2130*x^8 - 9550*x^7 + 25245*x^6 - 43470*x^5 + 50736*x^4 -
40324*x^3 + 21178*x^2 - 6727*x + 996

Placing the root at 0:  248
-35*x^9 + 350*x^8 - 1575*x^7 + 4200*x^6 - 7350*x^5 + 8816*x^4 - 7322*x^3
+ 4118*x^2 - 1449*x + 248

Placing the root at 1:  250
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8395*x^5 + 10040*x^4 -
8266*x^3 + 4557*x^2 - 1545*x + 250

Placing the root at 2:  485
-95*x^9 + 950*x^8 - 4275*x^7 + 11380*x^6 - 19790*x^5 + 23380*x^4 -
18835*x^3 + 10030*x^2 - 3229*x + 485

Placing the root at 3:  1526
-390*x^9 + 3900*x^8 - 17455*x^7 + 45945*x^6 - 78500*x^5 + 90460*x^4 -
70490*x^3 + 35945*x^2 - 10940*x + 1526

Placing the root at 4:  915
-210*x^9 + 2100*x^8 - 9410*x^7 + 24840*x^6 - 42660*x^5 + 49565*x^4 -
39100*x^3 + 20294*x^2 - 6333*x + 915

Placing the root at 5:  168
-23*x^9 + 230*x^8 - 1035*x^7 + 2760*x^6 - 4830*x^5 + 5796*x^4 - 4823*x^3
+ 2725*x^2 - 967*x + 168

Placing the root at 6:  690
-145*x^9 + 1450*x^8 - 6502*x^7 + 17193*x^6 - 29622*x^5 + 34608*x^4 -
27552*x^3 + 14509*x^2 - 4628*x + 690

Placing the root at 0:  220
-35*x^9 + 350*x^8 - 1575*x^7 + 4198*x^6 - 7332*x^5 + 8748*x^4 - 7183*x^3
+ 3955*x^2 - 1345*x + 220

Placing the root at 1:  230
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7556*x^5 + 9040*x^4 - 7452*x^3
+ 4121*x^2 - 1406*x + 230

Placing the root at 2:  455
-88*x^9 + 880*x^8 - 3960*x^7 + 10542*x^6 - 18336*x^5 + 21672*x^4 -
17476*x^3 + 9324*x^2 - 3012*x + 455

Placing the root at 3:  1450
-367*x^9 + 3670*x^8 - 16427*x^7 + 43248*x^6 - 73920*x^5 + 85236*x^4 -
66486*x^3 + 33956*x^2 - 10359*x + 1450

Placing the root at 4:  858
-194*x^9 + 1940*x^8 - 8694*x^7 + 22956*x^6 - 39444*x^5 + 45868*x^4 -
36236*x^3 + 18852*x^2 - 5905*x + 858

Placing the root at 5:  203
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6300*x^5 + 7553*x^4 - 6258*x^3
+ 3495*x^2 - 1212*x + 203

Placing the root at 6:  788
-173*x^9 + 1730*x^8 - 7755*x^7 + 20490*x^6 - 35250*x^5 + 41076*x^4 -
32557*x^3 + 17022*x^2 - 5370*x + 788

Placing the root at 0:  190
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5878*x^5 + 7040*x^4 - 5824*x^3
+ 3249*x^2 - 1128*x + 190

Placing the root at 9:  744
-162*x^9 + 1620*x^8 - 7262*x^7 + 19188*x^6 - 33012*x^5 + 38474*x^4 -
30508*x^3 + 15968*x^2 - 5049*x + 744

Placing the root at 1:  343
-54*x^9 + 540*x^8 - 2430*x^7 + 6480*x^6 - 11334*x^5 + 13560*x^4 -
11178*x^3 + 6181*x^2 - 2107*x + 343

Placing the root at 2:  673
-131*x^9 + 1310*x^8 - 5895*x^7 + 15693*x^6 - 27294*x^5 + 32256*x^4 -
26004*x^3 + 13866*x^2 - 4473*x + 673

Placing the root at 3:  2126
-542*x^9 + 5420*x^8 - 24259*x^7 + 63861*x^6 - 109131*x^5 + 125796*x^4 -
98070*x^3 + 50040*x^2 - 15240*x + 2126

Placing the root at 4:  1269
-289*x^9 + 2890*x^8 - 12951*x^7 + 34194*x^6 - 58746*x^5 + 68298*x^4 -
53934*x^3 + 28038*x^2 - 8768*x + 1269

Placing the root at 5:  404
-67*x^9 + 670*x^8 - 3015*x^7 + 8040*x^6 - 14056*x^5 + 16786*x^4 -
13776*x^3 + 7552*x^2 - 2537*x + 404

Placing the root at 6:  1436
-337*x^9 + 3370*x^8 - 15098*x^7 + 39837*x^6 - 68358*x^5 + 79310*x^4 -
62426*x^3 + 32292*x^2 - 10025*x + 1436

Placing the root at 0:  285
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8818*x^5 + 10566*x^4 -
8750*x^3 + 4889*x^2 - 1699*x + 285

Placing the root at 8:  589
-111*x^9 + 1110*x^8 - 4995*x^7 + 13299*x^6 - 23142*x^5 + 27384*x^4 -
22136*x^3 + 11864*x^2 - 3861*x + 589

Placing the root at 9:  1918
-478*x^9 + 4780*x^8 - 21399*x^7 + 56361*x^6 - 96405*x^5 + 111300*x^4 -
86982*x^3 + 44548*x^2 - 13642*x + 1918

Placing the root at 1:  197
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6297*x^5 + 7536*x^4 - 6219*x^3
+ 3450*x^2 - 1186*x + 197

Placing the root at 2:  400
-76*x^9 + 760*x^8 - 3420*x^7 + 9105*x^6 - 15840*x^5 + 18732*x^4 -
15123*x^3 + 8088*x^2 - 2625*x + 400

Placing the root at 3:  1299
-324*x^9 + 3240*x^8 - 14504*x^7 + 38196*x^6 - 65319*x^5 + 75384*x^4 -
58884*x^3 + 30141*x^2 - 9228*x + 1299

Placing the root at 4:  754
-167*x^9 + 1670*x^8 - 7485*x^7 + 19770*x^6 - 33990*x^5 + 39567*x^4 -
31314*x^3 + 16341*x^2 - 5145*x + 754

Placing the root at 5:  231
-37*x^9 + 370*x^8 - 1665*x^7 + 4440*x^6 - 7763*x^5 + 9275*x^4 - 7623*x^3
+ 4195*x^2 - 1422*x + 231

Placing the root at 6:  851
-194*x^9 + 1940*x^8 - 8693*x^7 + 22947*x^6 - 39408*x^5 + 45787*x^4 -
36127*x^3 + 18765*x^2 - 5867*x + 851

Placing the root at 8:  631
-132*x^9 + 1320*x^8 - 5919*x^7 + 15651*x^6 - 26964*x^5 + 31500*x^4 -
25076*x^3 + 13208*x^2 - 4218*x + 631

Placing the root at 0:  153
-21*x^9 + 210*x^8 - 945*x^7 + 2520*x^6 - 4410*x^5 + 5290*x^4 - 4396*x^3
+ 2478*x^2 - 878*x + 153

Placing the root at 1:  262
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8396*x^5 + 10048*x^4 -
8292*x^3 + 4600*x^2 - 1581*x + 262

Placing the root at 2:  530
-101*x^9 + 1010*x^8 - 4545*x^7 + 12100*x^6 - 21050*x^5 + 24892*x^4 -
20094*x^3 + 10744*x^2 - 3485*x + 530

Placing the root at 3:  1714
-429*x^9 + 4290*x^8 - 19204*x^7 + 50571*x^6 - 86474*x^5 + 99784*x^4 -
77924*x^3 + 39870*x^2 - 12197*x + 1714

Placing the root at 4:  999
-222*x^9 + 2220*x^8 - 9950*x^7 + 26280*x^6 - 45180*x^5 + 52588*x^4 -
41612*x^3 + 21708*x^2 - 6830*x + 999

Placing the root at 5:  446
-81*x^9 + 810*x^8 - 3645*x^7 + 9706*x^6 - 16898*x^5 + 20020*x^4 -
16226*x^3 + 8742*x^2 - 2873*x + 446

Placing the root at 6:  1506
-365*x^9 + 3650*x^8 - 16344*x^7 + 43071*x^6 - 73748*x^5 + 85288*x^4 -
66836*x^3 + 34378*x^2 - 10599*x + 1506

Placing the root at 0:  204
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7054*x^4 - 5864*x^3
+ 3308*x^2 - 1173*x + 204

Placing the root at 9:  839
-176*x^9 + 1760*x^8 - 7892*x^7 + 20868*x^6 - 35952*x^5 + 42000*x^4 -
33434*x^3 + 17608*x^2 - 5620*x + 839

Placing the root at 1:  149
-22*x^9 + 220*x^8 - 990*x^7 + 2640*x^6 - 4618*x^5 + 5528*x^4 - 4566*x^3
+ 2540*x^2 - 880*x + 149

Placing the root at 2:  312
-58*x^9 + 580*x^8 - 2610*x^7 + 6949*x^6 - 12092*x^5 + 14308*x^4 -
11566*x^3 + 6202*x^2 - 2024*x + 312

Placing the root at 3:  1038
-254*x^9 + 2540*x^8 - 11372*x^7 + 29958*x^6 - 51263*x^5 + 59224*x^4 -
46340*x^3 + 23786*x^2 - 7316*x + 1038

Placing the root at 4:  588
-127*x^9 + 1270*x^8 - 5693*x^7 + 15042*x^6 - 25878*x^5 + 30158*x^4 -
23914*x^3 + 12522*x^2 - 3967*x + 588

Placing the root at 5:  252
-44*x^9 + 440*x^8 - 1980*x^7 + 5273*x^6 - 9184*x^5 + 10892*x^4 -
8848*x^3 + 4790*x^2 - 1590*x + 252

Placing the root at 6:  886
-208*x^9 + 2080*x^8 - 9316*x^7 + 24564*x^6 - 42103*x^5 + 48776*x^4 -
38332*x^3 + 19808*x^2 - 6154*x + 886

Placing the root at 7:  474
-95*x^9 + 950*x^8 - 4261*x^7 + 11274*x^6 - 19446*x^5 + 22764*x^4 -
18186*x^3 + 9638*x^2 - 3111*x + 474

Placing the root at 0:  109
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2938*x^3
+ 1668*x^2 - 602*x + 109

Placing the root at 1:  1247
-230*x^9 + 2300*x^8 - 10350*x^7 + 27575*x^6 - 48075*x^5 + 57085*x^4 -
46379*x^3 + 25007*x^2 - 8179*x + 1247

Placing the root at 2:  2141
-451*x^9 + 4510*x^8 - 20295*x^7 + 54005*x^6 - 93790*x^5 + 110457*x^4 -
88445*x^3 + 46595*x^2 - 14726*x + 2141

Placing the root at 3:  6233
-1690*x^9 + 16900*x^8 - 75599*x^7 + 198741*x^6 - 338779*x^5 + 388916*x^4
- 301269*x^3 + 152239*x^2 - 45691*x + 6233

Placing the root at 0:  800
-125*x^9 + 1250*x^8 - 5625*x^7 + 15000*x^6 - 26242*x^5 + 31428*x^4 -
25974*x^3 + 14424*x^2 - 4935*x + 800

Placing the root at 1:  796
-144*x^9 + 1440*x^8 - 6480*x^7 + 17265*x^6 - 30105*x^5 + 35763*x^4 -
29087*x^3 + 15721*x^2 - 5168*x + 796

Placing the root at 2:  1397
-290*x^9 + 2900*x^8 - 13050*x^7 + 34728*x^6 - 60324*x^5 + 71079*x^4 -
56973*x^3 + 30075*x^2 - 9541*x + 1397

Placing the root at 3:  4139
-1107*x^9 + 11070*x^8 - 49525*x^7 + 130230*x^6 - 222102*x^5 + 255180*x^4
- 197931*x^3 + 100227*x^2 - 30180*x + 4139

Placing the root at 7:  681
-115*x^9 + 1150*x^8 - 5175*x^7 + 13800*x^6 - 24125*x^5 + 28805*x^4 -
23625*x^3 + 12929*x^2 - 4324*x + 681

Placing the root at 8:  2371
-566*x^9 + 5660*x^8 - 25355*x^7 + 66885*x^6 - 114720*x^5 + 132997*x^4 -
104545*x^3 + 53955*x^2 - 16681*x + 2371

Placing the root at 0:  495
-75*x^9 + 750*x^8 - 3375*x^7 + 9000*x^6 - 15746*x^5 + 18864*x^4 -
15610*x^3 + 8700*x^2 - 3002*x + 495

Placing the root at 1:  607
-106*x^9 + 1060*x^8 - 4770*x^7 + 12710*x^6 - 22170*x^5 + 26362*x^4 -
21490*x^3 + 11672*x^2 - 3874*x + 607

Placing the root at 2:  1104
-224*x^9 + 2240*x^8 - 10080*x^7 + 26827*x^6 - 46616*x^5 + 54974*x^4 -
44142*x^3 + 23380*x^2 - 7462*x + 1104

Placing the root at 3:  3354
-880*x^9 + 8800*x^8 - 39376*x^7 + 103584*x^6 - 176789*x^5 + 203368*x^4 -
158050*x^3 + 80274*x^2 - 24284*x + 3354

Placing the root at 0:  355
-50*x^9 + 500*x^8 - 2250*x^7 + 6000*x^6 - 10500*x^5 + 12596*x^4 -
10468*x^3 + 5896*x^2 - 2078*x + 355

Placing the root at 7:  756
-140*x^9 + 1400*x^8 - 6300*x^7 + 16775*x^6 - 29200*x^5 + 34580*x^4 -
28000*x^3 + 15054*x^2 - 4924*x + 756

Placing the root at 8:  2496
-616*x^9 + 6160*x^8 - 27580*x^7 + 72660*x^6 - 124345*x^5 + 143672*x^4 -
112420*x^3 + 57680*x^2 - 17706*x + 2496

Placing the root at 9:  1422
-305*x^9 + 3050*x^8 - 13675*x^7 + 36150*x^6 - 62250*x^5 + 72660*x^4 -
57754*x^3 + 30332*x^2 - 9629*x + 1422

Placing the root at 1:  345
-58*x^9 + 580*x^8 - 2610*x^7 + 6955*x^6 - 12135*x^5 + 14441*x^4 -
11795*x^3 + 6435*x^2 - 2157*x + 345

Placing the root at 2:  653
-129*x^9 + 1290*x^8 - 5805*x^7 + 15451*x^6 - 26858*x^5 + 31701*x^4 -
25501*x^3 + 13555*x^2 - 4356*x + 653

Placing the root at 3:  2045
-524*x^9 + 5240*x^8 - 23451*x^7 + 61719*x^6 - 105425*x^5 + 121444*x^4 -
94593*x^3 + 48215*x^2 - 14669*x + 2045

Placing the root at 7:  806
-165*x^9 + 1650*x^8 - 7400*x^7 + 19575*x^6 - 33750*x^5 + 39480*x^4 -
31500*x^3 + 16654*x^2 - 5349*x + 806

Placing the root at 0:  190
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5250*x^5 + 6300*x^4 - 5246*x^3
+ 2976*x^2 - 1069*x + 190

Placing the root at 1:  301
-54*x^9 + 540*x^8 - 2430*x^7 + 6474*x^6 - 11286*x^5 + 13399*x^4 -
10886*x^3 + 5877*x^2 - 1934*x + 301

Placing the root at 2:  539
-110*x^9 + 1100*x^8 - 4950*x^7 + 13173*x^6 - 22884*x^5 + 26970*x^4 -
21630*x^3 + 11435*x^2 - 3642*x + 539

Placing the root at 3:  1638
-429*x^9 + 4290*x^8 - 19195*x^7 + 50490*x^6 - 86157*x^5 + 99084*x^4 -
76980*x^3 + 39090*x^2 - 11830*x + 1638

Placing the root at 4:  112
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2940*x^3
+ 1675*x^2 - 610*x + 112

Placing the root at 5:  496
-98*x^9 + 980*x^8 - 4396*x^7 + 11634*x^6 - 20076*x^5 + 23520*x^4 -
18816*x^3 + 9996*x^2 - 3239*x + 496

Placing the root at 0:  189
-30*x^9 + 300*x^8 - 1350*x^7 + 3598*x^6 - 6282*x^5 + 7489*x^4 - 6140*x^3
+ 3375*x^2 - 1148*x + 189

Placing the root at 1:  285
-50*x^9 + 500*x^8 - 2250*x^7 + 5995*x^6 - 10455*x^5 + 12425*x^4 -
10116*x^3 + 5482*x^2 - 1815*x + 285

Placing the root at 2:  520
-105*x^9 + 1050*x^8 - 4725*x^7 + 12575*x^6 - 21850*x^5 + 25765*x^4 -
20685*x^3 + 10955*x^2 - 3499*x + 520

Placing the root at 3:  1596
-415*x^9 + 4150*x^8 - 18570*x^7 + 48855*x^6 - 83395*x^5 + 95960*x^4 -
74615*x^3 + 37935*x^2 - 11500*x + 1596

Placing the root at 4:  142
-19*x^9 + 190*x^8 - 855*x^7 + 2280*x^6 - 3990*x^5 + 4788*x^4 - 3985*x^3
+ 2255*x^2 - 805*x + 142

Placing the root at 5:  596
-123*x^9 + 1230*x^8 - 5516*x^7 + 14589*x^6 - 25146*x^5 + 29400*x^4 -
23436*x^3 + 12371*x^2 - 3964*x + 596

Placing the root at 0:  170
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5248*x^5 + 6284*x^4 - 5195*x^3
+ 2895*x^2 - 1005*x + 170

Placing the root at 9:  670
-145*x^9 + 1450*x^8 - 6500*x^7 + 17175*x^6 - 29550*x^5 + 34442*x^4 -
27316*x^3 + 14305*x^2 - 4530*x + 670

Placing the root at 1:  452
-80*x^9 + 800*x^8 - 3600*x^7 + 9592*x^6 - 16728*x^5 + 19880*x^4 -
16185*x^3 + 8768*x^2 - 2898*x + 452

Placing the root at 2:  814
-166*x^9 + 1660*x^8 - 7470*x^7 + 19880*x^6 - 34540*x^5 + 40720*x^4 -
32676*x^3 + 17288*x^2 - 5509*x + 814

Placing the root at 3:  2465
-648*x^9 + 6480*x^8 - 28994*x^7 + 76266*x^6 - 130144*x^5 + 149672*x^4 -
116276*x^3 + 59028*x^2 - 17848*x + 2465

Placing the root at 4:  290
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9030*x^5 + 10826*x^4 -
8970*x^3 + 5010*x^2 - 1737*x + 290

Placing the root at 5:  1120
-247*x^9 + 2470*x^8 - 11072*x^7 + 29253*x^6 - 50322*x^5 + 58632*x^4 -
46462*x^3 + 24282*x^2 - 7653*x + 1120

Placing the root at 0:  272
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8398*x^5 + 10062*x^4 -
8331*x^3 + 4654*x^2 - 1618*x + 272

Placing the root at 8:  564
-106*x^9 + 1060*x^8 - 4770*x^7 + 12700*x^6 - 22100*x^5 + 26152*x^4 -
21142*x^3 + 11334*x^2 - 3691*x + 564

Placing the root at 9:  1843
-458*x^9 + 4580*x^8 - 20504*x^7 + 54006*x^6 - 92384*x^5 + 106672*x^4 -
83384*x^3 + 42722*x^2 - 13092*x + 1843

Placing the root at 1:  258
-44*x^9 + 440*x^8 - 1980*x^7 + 5276*x^6 - 9204*x^5 + 10948*x^4 -
8932*x^3 + 4861*x^2 - 1622*x + 258

Placing the root at 2:  483
-96*x^9 + 960*x^8 - 4320*x^7 + 11498*x^6 - 19984*x^5 + 23580*x^4 -
18956*x^3 + 10064*x^2 - 3228*x + 483

Placing the root at 3:  1506
-387*x^9 + 3870*x^8 - 17319*x^7 + 45576*x^6 - 77836*x^5 + 89636*x^4 -
69786*x^3 + 35548*x^2 - 10807*x + 1506

Placing the root at 4:  167
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6043*x^4 - 5010*x^3
+ 2805*x^2 - 980*x + 167

Placing the root at 5:  666
-143*x^9 + 1430*x^8 - 6411*x^7 + 16944*x^6 - 29166*x^5 + 34020*x^4 -
27011*x^3 + 14166*x^2 - 4494*x + 666

Placing the root at 8:  604
-126*x^9 + 1260*x^8 - 5650*x^7 + 14940*x^6 - 25740*x^5 + 30072*x^4 -
23942*x^3 + 12614*x^2 - 4031*x + 604

Placing the root at 0:  146
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5038*x^4 - 4186*x^3
+ 2359*x^2 - 836*x + 146

Placing the root at 1:  507
-90*x^9 + 900*x^8 - 4050*x^7 + 10791*x^6 - 18819*x^5 + 22365*x^4 -
18208*x^3 + 9863*x^2 - 3258*x + 507

Placing the root at 2:  909
-186*x^9 + 1860*x^8 - 8370*x^7 + 22275*x^6 - 38700*x^5 + 45621*x^4 -
36603*x^3 + 19359*x^2 - 6164*x + 909

Placing the root at 3:  2740
-723*x^9 + 7230*x^8 - 32349*x^7 + 85086*x^6 - 145179*x^5 + 166932*x^4 -
129645*x^3 + 65781*x^2 - 19872*x + 2740

Placing the root at 4:  434
-72*x^9 + 720*x^8 - 3240*x^7 + 8640*x^6 - 15105*x^5 + 18039*x^4 -
14805*x^3 + 8117*x^2 - 2727*x + 434

Placing the root at 5:  1541
-362*x^9 + 3620*x^8 - 16218*x^7 + 42792*x^6 - 73428*x^5 + 85191*x^4 -
67053*x^3 + 34683*x^2 - 10765*x + 1541

Placing the root at 0:  306
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9448*x^5 + 11322*x^4 -
9379*x^3 + 5244*x^2 - 1824*x + 306

Placing the root at 1:  385
-66*x^9 + 660*x^8 - 2970*x^7 + 7914*x^6 - 13806*x^5 + 16422*x^4 -
13398*x^3 + 7291*x^2 - 2431*x + 385

Placing the root at 2:  715
-143*x^9 + 1430*x^8 - 6435*x^7 + 17127*x^6 - 29766*x^5 + 35118*x^4 -
28224*x^3 + 14976*x^2 - 4797*x + 715

Placing the root at 3:  2210
-572*x^9 + 5720*x^8 - 25597*x^7 + 67353*x^6 - 115005*x^5 + 132396*x^4 -
103020*x^3 + 52428*x^2 - 15912*x + 2210

Placing the root at 4:  330
-53*x^9 + 530*x^8 - 2385*x^7 + 6360*x^6 - 11120*x^5 + 13286*x^4 -
10920*x^3 + 6010*x^2 - 2037*x + 330

Placing the root at 5:  1210
-277*x^9 + 2770*x^8 - 12412*x^7 + 32763*x^6 - 56262*x^5 + 65362*x^4 -
51562*x^3 + 26772*x^2 - 8363*x + 1210

Placing the root at 0:  219
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6300*x^5 + 7558*x^4 - 6284*x^3
+ 3547*x^2 - 1259*x + 219

Placing the root at 7:  479
-87*x^9 + 870*x^8 - 3915*x^7 + 10425*x^6 - 18150*x^5 + 21504*x^4 -
17430*x^3 + 9392*x^2 - 3087*x + 479

Placing the root at 8:  1616
-392*x^9 + 3920*x^8 - 17553*x^7 + 46257*x^6 - 79203*x^5 + 91596*x^4 -
71778*x^3 + 36918*x^2 - 11380*x + 1616

Placing the root at 9:  901
-189*x^9 + 1890*x^8 - 8475*x^7 + 22410*x^6 - 38610*x^5 + 45108*x^4 -
35912*x^3 + 18916*x^2 - 6038*x + 901

Placing the root at 1:  218
-36*x^9 + 360*x^8 - 1620*x^7 + 4317*x^6 - 7533*x^5 + 8967*x^4 - 7329*x^3
+ 4005*x^2 - 1348*x + 218

Placing the root at 2:  421
-82*x^9 + 820*x^8 - 3690*x^7 + 9822*x^6 - 17076*x^5 + 20163*x^4 -
16233*x^3 + 8643*x^2 - 2787*x + 421

Placing the root at 3:  1341
-339*x^9 + 3390*x^8 - 15173*x^7 + 39942*x^6 - 68256*x^5 + 78684*x^4 -
61359*x^3 + 31335*x^2 - 9564*x + 1341

Placing the root at 4:  187
-29*x^9 + 290*x^8 - 1305*x^7 + 3480*x^6 - 6085*x^5 + 7273*x^4 - 5985*x^3
+ 3305*x^2 - 1130*x + 187

Placing the root at 5:  711
-158*x^9 + 1580*x^8 - 7081*x^7 + 18699*x^6 - 32136*x^5 + 37385*x^4 -
29561*x^3 + 15411*x^2 - 4849*x + 711

Placing the root at 7:  509
-102*x^9 + 1020*x^8 - 4575*x^7 + 12105*x^6 - 20880*x^5 + 24444*x^4 -
19530*x^3 + 10352*x^2 - 3342*x + 509

Placing the root at 0:  117
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3150*x^5 + 3780*x^4 - 3148*x^3
+ 1788*x^2 - 646*x + 117

Placing the root at 1:  512
-88*x^9 + 880*x^8 - 3960*x^7 + 10552*x^6 - 18408*x^5 + 21896*x^4 -
17864*x^3 + 9721*x^2 - 3240*x + 512

Placing the root at 2:  947
-190*x^9 + 1900*x^8 - 8550*x^7 + 22756*x^6 - 39548*x^5 + 46656*x^4 -
37492*x^3 + 19888*x^2 - 6366*x + 947

Placing the root at 3:  2914
-757*x^9 + 7570*x^8 - 33875*x^7 + 89130*x^6 - 152174*x^5 + 175156*x^4 -
136254*x^3 + 69308*x^2 - 21017*x + 2914

Placing the root at 4:  637
-116*x^9 + 1160*x^8 - 5220*x^7 + 13900*x^6 - 24200*x^5 + 28672*x^4 -
23240*x^3 + 12522*x^2 - 4114*x + 637

Placing the root at 5:  2140
-521*x^9 + 5210*x^8 - 23329*x^7 + 61476*x^6 - 105254*x^5 + 121708*x^4 -
95354*x^3 + 49024*x^2 - 15099*x + 2140

Placing the root at 0:  292
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8400*x^5 + 10078*x^4 -
8382*x^3 + 4735*x^2 - 1682*x + 292

Placing the root at 1:  290
-48*x^9 + 480*x^8 - 2160*x^7 + 5756*x^6 - 10044*x^5 + 11956*x^4 -
9772*x^3 + 5340*x^2 - 1797*x + 290

Placing the root at 2:  558
-109*x^9 + 1090*x^8 - 4905*x^7 + 13056*x^6 - 22698*x^5 + 26800*x^4 -
21574*x^3 + 11484*x^2 - 3701*x + 558

Placing the root at 3:  1770
-449*x^9 + 4490*x^8 - 20096*x^7 + 52899*x^6 - 90390*x^5 + 104184*x^4 -
81224*x^3 + 41462*x^2 - 12645*x + 1770

Placing the root at 4:  360
-63*x^9 + 630*x^8 - 2835*x^7 + 7550*x^6 - 13150*x^5 + 15596*x^4 -
12670*x^3 + 6860*x^2 - 2277*x + 360

Placing the root at 5:  1260
-297*x^9 + 2970*x^8 - 13302*x^7 + 35073*x^6 - 60112*x^5 + 69632*x^4 -
54712*x^3 + 28262*x^2 - 8773*x + 1260

Placing the root at 8:  677
-136*x^9 + 1360*x^8 - 6100*x^7 + 16140*x^6 - 27840*x^5 + 32592*x^4 -
26040*x^3 + 13802*x^2 - 4454*x + 677

Placing the root at 0:  156
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5040*x^4 - 4198*x^3
+ 2386*x^2 - 863*x + 156

Placing the root at 1:  163
-26*x^9 + 260*x^8 - 1170*x^7 + 3118*x^6 - 5442*x^5 + 6482*x^4 - 5306*x^3
+ 2910*x^2 - 988*x + 163

Placing the root at 2:  326
-62*x^9 + 620*x^8 - 2790*x^7 + 7427*x^6 - 12916*x^5 + 15262*x^4 -
12306*x^3 + 6572*x^2 - 2132*x + 326

Placing the root at 3:  1066
-264*x^9 + 2640*x^8 - 11818*x^7 + 31122*x^6 - 53221*x^5 + 61424*x^4 -
47990*x^3 + 24582*x^2 - 7540*x + 1066

Placing the root at 4:  202
-34*x^9 + 340*x^8 - 1530*x^7 + 4075*x^6 - 7100*x^5 + 8428*x^4 - 6860*x^3
+ 3730*x^2 - 1250*x + 202

Placing the root at 5:  736
-168*x^9 + 1680*x^8 - 7526*x^7 + 19854*x^6 - 34061*x^5 + 39520*x^4 -
31136*x^3 + 16156*x^2 - 5054*x + 736

Placing the root at 6:  380
-73*x^9 + 730*x^8 - 3275*x^7 + 8670*x^6 - 14970*x^5 + 17556*x^4 -
14070*x^3 + 7500*x^2 - 2447*x + 380

Placing the root at 0:  83
-10*x^9 + 100*x^8 - 450*x^7 + 1200*x^6 - 2100*x^5 + 2520*x^4 - 2100*x^3
+ 1198*x^2 - 440*x + 83

Placing the root at 1:  44
-5*x^9 + 50*x^8 - 225*x^7 + 600*x^6 - 1050*x^5 + 1260*x^4 - 1050*x^3 +
600*x^2 - 223*x + 44

Placing the root at 2:  212
-39*x^9 + 390*x^8 - 1750*x^7 + 4635*x^6 - 8010*x^5 + 9408*x^4 - 7560*x^3
+ 4050*x^2 - 1335*x + 212

Placing the root at 0:  91
-14*x^9 + 140*x^8 - 630*x^7 + 1679*x^6 - 2931*x^5 + 3493*x^4 - 2863*x^3
+ 1575*x^2 - 539*x + 91

Placing the root at 8:  189
-35*x^9 + 350*x^8 - 1575*x^7 + 4193*x^6 - 7294*x^5 + 8625*x^4 - 6965*x^3
+ 3731*x^2 - 1218*x + 189

Placing the root at 9:  637
-154*x^9 + 1540*x^8 - 6895*x^7 + 18165*x^6 - 31087*x^5 + 35924*x^4 -
28125*x^3 + 14455*x^2 - 4459*x + 637

Placing the root at 1:  73
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1890*x^3 +
1077*x^2 - 393*x + 73

Placing the root at 2:  328
-64*x^9 + 640*x^8 - 2871*x^7 + 7599*x^6 - 13116*x^5 + 15372*x^4 -
12306*x^3 + 6546*x^2 - 2127*x + 328

Placing the root at 7:  164
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5664*x^5 + 6762*x^4 - 5545*x^3
+ 3036*x^2 - 1020*x + 164

Placing the root at 8:  593
-137*x^9 + 1370*x^8 - 6138*x^7 + 16197*x^6 - 27798*x^5 + 32262*x^4 -
25410*x^3 + 13163*x^2 - 4101*x + 593

Placing the root at 0:  117
-18*x^9 + 180*x^8 - 810*x^7 + 2159*x^6 - 3771*x^5 + 4500*x^4 - 3697*x^3
+ 2040*x^2 - 699*x + 117

Placing the root at 1:  58
-7*x^9 + 70*x^8 - 315*x^7 + 840*x^6 - 1470*x^5 + 1764*x^4 - 1470*x^3 +
838*x^2 - 307*x + 58

Placing the root at 2:  266
-51*x^9 + 510*x^8 - 2288*x^7 + 6057*x^6 - 10458*x^5 + 12264*x^4 -
9828*x^3 + 5238*x^2 - 1709*x + 266

Placing the root at 0:  84
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2519*x^5 + 3016*x^4 - 2493*x^3
+ 1390*x^2 - 485*x + 84

Placing the root at 7:  182
-33*x^9 + 330*x^8 - 1485*x^7 + 3954*x^6 - 6882*x^5 + 8148*x^4 - 6595*x^3
+ 3546*x^2 - 1164*x + 182

Placing the root at 8:  623
-149*x^9 + 1490*x^8 - 6672*x^7 + 17583*x^6 - 30108*x^5 + 34824*x^4 -
27300*x^3 + 14057*x^2 - 4347*x + 623

Placing the root at 9:  343
-72*x^9 + 720*x^8 - 3228*x^7 + 8532*x^6 - 14688*x^5 + 17137*x^4 -
13616*x^3 + 7155*x^2 - 2282*x + 343

Placing the root at 1:  104
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2936*x^3
+ 1660*x^2 - 591*x + 104

Placing the root at 2:  435
-90*x^9 + 900*x^8 - 4036*x^7 + 10674*x^6 - 18396*x^5 + 21504*x^4 -
17136*x^3 + 9040*x^2 - 2894*x + 435

Placing the root at 6:  135
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5035*x^4 - 4170*x^3
+ 2326*x^2 - 805*x + 135

Placing the root at 7:  525
-115*x^9 + 1150*x^8 - 5155*x^7 + 13620*x^6 - 23430*x^5 + 27300*x^4 -
21635*x^3 + 11310*x^2 - 3569*x + 525

Placing the root at 0:  130
-20*x^9 + 200*x^8 - 900*x^7 + 2399*x^6 - 4191*x^5 + 5004*x^4 - 4116*x^3
+ 2275*x^2 - 780*x + 130

Placing the root at 1:  91
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3024*x^4 - 2517*x^3
+ 1425*x^2 - 510*x + 91

Placing the root at 2:  388
-79*x^9 + 790*x^8 - 3543*x^7 + 9372*x^6 - 16158*x^5 + 18900*x^4 -
15078*x^3 + 7971*x^2 - 2562*x + 388

Placing the root at 6:  155
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5245*x^5 + 6265*x^4 - 5145*x^3
+ 2826*x^2 - 955*x + 155

Placing the root at 7:  570
-130*x^9 + 1300*x^8 - 5825*x^7 + 15375*x^6 - 26400*x^5 + 30665*x^4 -
24185*x^3 + 12555*x^2 - 3924*x + 570

Placing the root at 0:  105
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3149*x^5 + 3772*x^4 - 3122*x^3
+ 1745*x^2 - 610*x + 105

Placing the root at 9:  425
-90*x^9 + 900*x^8 - 4035*x^7 + 10665*x^6 - 18360*x^5 + 21421*x^4 -
17018*x^3 + 8938*x^2 - 2845*x + 425

Placing the root at 1:  121
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4032*x^4 - 3356*x^3
+ 1900*x^2 - 680*x + 121

Placing the root at 2:  514
-105*x^9 + 1050*x^8 - 4709*x^7 + 12456*x^6 - 21474*x^5 + 25116*x^4 -
20034*x^3 + 10588*x^2 - 3401*x + 514

Placing the root at 6:  300
-55*x^9 + 550*x^8 - 2475*x^7 + 6590*x^6 - 11470*x^5 + 13580*x^4 -
10991*x^3 + 5907*x^2 - 1935*x + 300

Placing the root at 7:  1010
-245*x^9 + 2450*x^8 - 10970*x^7 + 28905*x^6 - 49480*x^5 + 57200*x^4 -
44800*x^3 + 23029*x^2 - 7098*x + 1010

Placing the root at 0:  140
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4199*x^5 + 5031*x^4 - 4166*x^3
+ 2330*x^2 - 815*x + 140

Placing the root at 1:  70
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1888*x^3 +
1070*x^2 - 385*x + 70

Placing the root at 2:  306
-61*x^9 + 610*x^8 - 2736*x^7 + 7239*x^6 - 12486*x^5 + 14616*x^4 -
11676*x^3 + 6188*x^2 - 1999*x + 306

Placing the root at 6:  170
-30*x^9 + 300*x^8 - 1350*x^7 + 3595*x^6 - 6260*x^5 + 7420*x^4 - 6020*x^3
+ 3251*x^2 - 1075*x + 170

Placing the root at 7:  595
-140*x^9 + 1400*x^8 - 6270*x^7 + 16530*x^6 - 28325*x^5 + 32800*x^4 -
25760*x^3 + 13300*x^2 - 4129*x + 595

Placing the root at 8:  320
-65*x^9 + 650*x^8 - 2915*x^7 + 7710*x^6 - 13290*x^5 + 15540*x^4 -
12391*x^3 + 6547*x^2 - 2105*x + 320

Placing the root at 0:  75
-10*x^9 + 100*x^8 - 450*x^7 + 1200*x^6 - 2100*x^5 + 2519*x^4 - 2093*x^3
+ 1180*x^2 - 420*x + 75

Placing the root at 1:  40
-5*x^9 + 50*x^8 - 225*x^7 + 600*x^6 - 1050*x^5 + 1260*x^4 - 1049*x^3 +
595*x^2 - 215*x + 40

Placing the root at 2:  180
-35*x^9 + 350*x^8 - 1570*x^7 + 4155*x^6 - 7170*x^5 + 8400*x^4 - 6720*x^3
+ 3571*x^2 - 1160*x + 180

Placing the root at 1:  124
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4532*x^4 - 3756*x^3
+ 2100*x^2 - 731*x + 124

Placing the root at 2:  491
-106*x^9 + 1060*x^8 - 4752*x^7 + 12558*x^6 - 21612*x^5 + 25200*x^4 -
19996*x^3 + 10476*x^2 - 3318*x + 491

Placing the root at 0:  112
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3359*x^5 + 4024*x^4 - 3332*x^3
+ 1864*x^2 - 652*x + 112

Placing the root at 9:  452
-96*x^9 + 960*x^8 - 4304*x^7 + 11376*x^6 - 19584*x^5 + 22849*x^4 -
18152*x^3 + 9532*x^2 - 3032*x + 452

Placing the root at 1:  185
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5670*x^5 + 6798*x^4 - 5634*x^3
+ 3150*x^2 - 1096*x + 185

Placing the root at 2:  727
-158*x^9 + 1580*x^8 - 7083*x^7 + 18717*x^6 - 32208*x^5 + 37548*x^4 -
29784*x^3 + 15594*x^2 - 4932*x + 727

Placing the root at 5:  246
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8392*x^5 + 10024*x^4 -
8232*x^3 + 4521*x^2 - 1526*x + 246

Placing the root at 6:  894
-206*x^9 + 2060*x^8 - 9230*x^7 + 24360*x^6 - 41820*x^5 + 48560*x^4 -
38276*x^3 + 19848*x^2 - 6189*x + 894

Placing the root at 0:  168
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5039*x^5 + 6039*x^4 - 5005*x^3
+ 2804*x^2 - 982*x + 168

Placing the root at 8:  358
-66*x^9 + 660*x^8 - 2970*x^7 + 7908*x^6 - 13764*x^5 + 16296*x^4 -
13189*x^3 + 7087*x^2 - 2319*x + 358

Placing the root at 9:  1195
-292*x^9 + 2920*x^8 - 13074*x^7 + 34446*x^6 - 58956*x^5 + 68136*x^4 -
53340*x^3 + 27395*x^2 - 8429*x + 1195

Placing the root at 1:  106
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3150*x^5 + 3777*x^4 - 3132*x^3
+ 1755*x^2 - 615*x + 106

Placing the root at 2:  430
-91*x^9 + 910*x^8 - 4080*x^7 + 10785*x^6 - 18570*x^5 + 21672*x^4 -
17223*x^3 + 9048*x^2 - 2880*x + 430

Placing the root at 5:  140
-22*x^9 + 220*x^8 - 990*x^7 + 2640*x^6 - 4616*x^5 + 5516*x^4 - 4536*x^3
+ 2500*x^2 - 851*x + 140

Placing the root at 6:  527
-118*x^9 + 1180*x^8 - 5288*x^7 + 13962*x^6 - 23988*x^5 + 27892*x^4 -
22036*x^3 + 11472*x^2 - 3602*x + 527

Placing the root at 8:  382
-78*x^9 + 780*x^8 - 3498*x^7 + 9252*x^6 - 15948*x^5 + 18648*x^4 -
14869*x^3 + 7855*x^2 - 2523*x + 382

Placing the root at 0:  90
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3023*x^4 - 2513*x^3
+ 1419*x^2 - 506*x + 90

Placing the root at 1:  141
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5036*x^4 - 4176*x^3
+ 2340*x^2 - 820*x + 141

Placing the root at 2:  570
-121*x^9 + 1210*x^8 - 5425*x^7 + 14340*x^6 - 24690*x^5 + 28812*x^4 -
22894*x^3 + 12024*x^2 - 3825*x + 570

Placing the root at 5:  270
-48*x^9 + 480*x^8 - 2160*x^7 + 5752*x^6 - 10016*x^5 + 11872*x^4 -
9632*x^3 + 5201*x^2 - 1718*x + 270

Placing the root at 6:  934
-222*x^9 + 2220*x^8 - 9942*x^7 + 26208*x^6 - 44900*x^5 + 51976*x^4 -
40796*x^3 + 21040*x^2 - 6517*x + 934

Placing the root at 0:  120
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4031*x^4 - 3352*x^3
+ 1894*x^2 - 676*x + 120

Placing the root at 9:  508
-104*x^9 + 1040*x^8 - 4664*x^7 + 12336*x^6 - 21264*x^5 + 24864*x^4 -
19825*x^3 + 10472*x^2 - 3362*x + 508

Placing the root at 1:  80
-11*x^9 + 110*x^8 - 495*x^7 + 1320*x^6 - 2310*x^5 + 2770*x^4 - 2298*x^3
+ 1290*x^2 - 455*x + 80

Placing the root at 2:  334
-69*x^9 + 690*x^8 - 3094*x^7 + 8181*x^6 - 14094*x^5 + 16464*x^4 -
13106*x^3 + 6906*x^2 - 2211*x + 334

Placing the root at 5:  152
-26*x^9 + 260*x^8 - 1170*x^7 + 3116*x^6 - 5428*x^5 + 6440*x^4 - 5236*x^3
+ 2840*x^2 - 947*x + 152

Placing the root at 6:  547
-126*x^9 + 1260*x^8 - 5644*x^7 + 14886*x^6 - 25528*x^5 + 29600*x^4 -
23296*x^3 + 12068*x^2 - 3766*x + 547

Placing the root at 7:  286
-56*x^9 + 560*x^8 - 2512*x^7 + 6648*x^6 - 11472*x^5 + 13440*x^4 -
10752*x^3 + 5713*x^2 - 1854*x + 286

Placing the root at 0:  64
-8*x^9 + 80*x^8 - 360*x^7 + 960*x^6 - 1680*x^5 + 2016*x^4 - 1679*x^3 +
954*x^2 - 346*x + 64

Placing the root at 1:  45
-6*x^9 + 60*x^8 - 270*x^7 + 720*x^6 - 1260*x^5 + 1511*x^4 - 1254*x^3 +
705*x^2 - 250*x + 45

Placing the root at 2:  194
-39*x^9 + 390*x^8 - 1749*x^7 + 4626*x^6 - 7974*x^5 + 9324*x^4 - 7435*x^3
+ 3930*x^2 - 1266*x + 194

Placing the root at 5:  160
-30*x^9 + 300*x^8 - 1346*x^7 + 3564*x^6 - 6156*x^5 + 7224*x^4 - 5796*x^3
+ 3096*x^2 - 1015*x + 160

Placing the root at 0:  34
-4*x^9 + 40*x^8 - 180*x^7 + 480*x^6 - 840*x^5 + 1008*x^4 - 840*x^3 +
479*x^2 - 176*x + 34

Placing the root at 1:  276
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9441*x^5 + 11277*x^4 -
9261*x^3 + 5086*x^2 - 1716*x + 276

Placing the root at 2:  999
-231*x^9 + 2310*x^8 - 10350*x^7 + 27315*x^6 - 46890*x^5 + 54441*x^4 -
42903*x^3 + 22239*x^2 - 6929*x + 999

Placing the root at 0:  189
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5669*x^5 + 6795*x^4 - 5634*x^3
+ 3159*x^2 - 1107*x + 189

Placing the root at 1:  209
-33*x^9 + 330*x^8 - 1485*x^7 + 3960*x^6 - 6924*x^5 + 8274*x^4 - 6804*x^3
+ 3750*x^2 - 1276*x + 209

Placing the root at 2:  781
-176*x^9 + 1760*x^8 - 7887*x^7 + 20823*x^6 - 35772*x^5 + 41586*x^4 -
32844*x^3 + 17088*x^2 - 5358*x + 781

Placing the root at 0:  135
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4535*x^4 - 3772*x^3
+ 2133*x^2 - 762*x + 135

Placing the root at 7:  303
-54*x^9 + 540*x^8 - 2430*x^7 + 6471*x^6 - 11268*x^5 + 13356*x^4 -
10836*x^3 + 5851*x^2 - 1932*x + 303

Placing the root at 8:  1044
-249*x^9 + 2490*x^8 - 11151*x^7 + 29394*x^6 - 50355*x^5 + 58284*x^4 -
45738*x^3 + 23580*x^2 - 7298*x + 1044

Placing the root at 9:  570
-117*x^9 + 1170*x^8 - 5247*x^7 + 13878*x^6 - 23922*x^5 + 27972*x^4 -
22303*x^3 + 11780*x^2 - 3780*x + 570

Placing the root at 1:  118
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3777*x^5 + 4515*x^4 - 3717*x^3
+ 2055*x^2 - 705*x + 118

Placing the root at 2:  457
-100*x^9 + 1000*x^8 - 4482*x^7 + 11838*x^6 - 20352*x^5 + 23691*x^4 -
18753*x^3 + 9795*x^2 - 3093*x + 457

Placing the root at 7:  321
-63*x^9 + 630*x^8 - 2826*x^7 + 7479*x^6 - 12906*x^5 + 15120*x^4 -
12096*x^3 + 6427*x^2 - 2085*x + 321

Placing the root at 0:  72
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1889*x^3 +
1074*x^2 - 390*x + 72

Placing the root at 1:  278
-44*x^9 + 440*x^8 - 1980*x^7 + 5280*x^6 - 9232*x^5 + 11032*x^4 -
9072*x^3 + 5000*x^2 - 1701*x + 278

Placing the root at 2:  1035
-234*x^9 + 2340*x^8 - 10486*x^7 + 27684*x^6 - 47556*x^5 + 55280*x^4 -
43652*x^3 + 22704*x^2 - 7114*x + 1035

Placing the root at 4:  403
-72*x^9 + 720*x^8 - 3240*x^7 + 8628*x^6 - 15024*x^5 + 17808*x^4 -
14448*x^3 + 7801*x^2 - 2575*x + 403

Placing the root at 5:  1383
-331*x^9 + 3310*x^8 - 14823*x^7 + 39072*x^6 - 66930*x^5 + 77460*x^4 -
60774*x^3 + 31320*x^2 - 9686*x + 1383

Placing the root at 0:  180
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6047*x^4 - 5031*x^3
+ 2847*x^2 - 1018*x + 180

Placing the root at 1:  157
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5036*x^5 + 6020*x^4 - 4956*x^3
+ 2740*x^2 - 940*x + 157

Placing the root at 2:  606
-133*x^9 + 1330*x^8 - 5961*x^7 + 15744*x^6 - 27066*x^5 + 31504*x^4 -
24934*x^3 + 13020*x^2 - 4109*x + 606

Placing the root at 4:  227
-39*x^9 + 390*x^8 - 1755*x^7 + 4674*x^6 - 8142*x^5 + 9660*x^4 - 7854*x^3
+ 4260*x^2 - 1420*x + 227

Placing the root at 5:  811
-188*x^9 + 1880*x^8 - 8421*x^7 + 22209*x^6 - 38082*x^5 + 44148*x^4 -
34734*x^3 + 17982*x^2 - 5604*x + 811

Placing the root at 8:  427
-84*x^9 + 840*x^8 - 3768*x^7 + 9972*x^6 - 17208*x^5 + 20160*x^4 -
16128*x^3 + 8569*x^2 - 2779*x + 427

Placing the root at 0:  96
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3024*x^4 - 2519*x^3
+ 1433*x^2 - 521*x + 96

Placing the root at 1:  88
-13*x^9 + 130*x^8 - 585*x^7 + 1560*x^6 - 2728*x^5 + 3262*x^4 - 2688*x^3
+ 1490*x^2 - 515*x + 88

Placing the root at 2:  352
-75*x^9 + 750*x^8 - 3362*x^7 + 8883*x^6 - 15282*x^5 + 17810*x^4 -
14126*x^3 + 7404*x^2 - 2353*x + 352

Placing the root at 4:  127
-21*x^9 + 210*x^8 - 945*x^7 + 2517*x^6 - 4386*x^5 + 5208*x^4 - 4242*x^3
+ 2310*x^2 - 777*x + 127

Placing the root at 5:  472
-106*x^9 + 1060*x^8 - 4749*x^7 + 12531*x^6 - 21507*x^5 + 24972*x^4 -
19698*x^3 + 10242*x^2 - 3216*x + 472

Placing the root at 6:  239
-45*x^9 + 450*x^8 - 2019*x^7 + 5346*x^6 - 9234*x^5 + 10836*x^4 -
8694*x^3 + 4644*x^2 - 1522*x + 239

Placing the root at 0:  51
-6*x^9 + 60*x^8 - 270*x^7 + 720*x^6 - 1260*x^5 + 1512*x^4 - 1260*x^3 +
719*x^2 - 265*x + 51

Placing the root at 1:  49
-7*x^9 + 70*x^8 - 315*x^7 + 840*x^6 - 1469*x^5 + 1757*x^4 - 1449*x^3 +
805*x^2 - 280*x + 49

Placing the root at 2:  203
-42*x^9 + 420*x^8 - 1883*x^7 + 4977*x^6 - 8568*x^5 + 9997*x^4 - 7945*x^3
+ 4179*x^2 - 1337*x + 203

Placing the root at 4:  133
-24*x^9 + 240*x^8 - 1077*x^7 + 2853*x^6 - 4932*x^5 + 5796*x^4 - 4662*x^3
+ 2502*x^2 - 828*x + 133

Placing the root at 0:  27
-3*x^9 + 30*x^8 - 135*x^7 + 360*x^6 - 630*x^5 + 756*x^4 - 630*x^3 +
360*x^2 - 134*x + 27

Placing the root at 1:  302
-52*x^9 + 520*x^8 - 2340*x^7 + 6232*x^6 - 10856*x^5 + 12880*x^4 -
10472*x^3 + 5680*x^2 - 1893*x + 302

Placing the root at 2:  1075
-250*x^9 + 2500*x^8 - 11198*x^7 + 29532*x^6 - 50636*x^5 + 58696*x^4 -
46172*x^3 + 23896*x^2 - 7442*x + 1075

Placing the root at 0:  128
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4032*x^4 - 3359*x^3
+ 1912*x^2 - 696*x + 128

Placing the root at 9:  568
-112*x^9 + 1120*x^8 - 5024*x^7 + 13296*x^6 - 22944*x^5 + 26880*x^4 -
21504*x^3 + 11425*x^2 - 3704*x + 568

Placing the root at 1:  169
-28*x^9 + 280*x^8 - 1260*x^7 + 3356*x^6 - 5848*x^5 + 6944*x^4 - 5656*x^3
+ 3080*x^2 - 1036*x + 169

Placing the root at 2:  626
-141*x^9 + 1410*x^8 - 6317*x^7 + 16668*x^6 - 28606*x^5 + 33212*x^4 -
26194*x^3 + 13616*x^2 - 4273*x + 626

Placing the root at 7:  318
-60*x^9 + 600*x^8 - 2692*x^7 + 7128*x^6 - 12312*x^5 + 14448*x^4 -
11592*x^3 + 6192*x^2 - 2029*x + 318

Placing the root at 0:  68
-8*x^9 + 80*x^8 - 360*x^7 + 960*x^6 - 1680*x^5 + 2016*x^4 - 1680*x^3 +
959*x^2 - 354*x + 68

Placing the root at 1:  94
-15*x^9 + 150*x^8 - 675*x^7 + 1798*x^6 - 3134*x^5 + 3724*x^4 - 3038*x^3
+ 1660*x^2 - 563*x + 94

Placing the root at 2:  362
-79*x^9 + 790*x^8 - 3540*x^7 + 9345*x^6 - 16052*x^5 + 18664*x^4 -
14756*x^3 + 7702*x^2 - 2435*x + 362

Placing the root at 5:  177
-32*x^9 + 320*x^8 - 1436*x^7 + 3804*x^6 - 6576*x^5 + 7728*x^4 - 6216*x^3
+ 3336*x^2 - 1104*x + 177

Placing the root at 0:  36
-4*x^9 + 40*x^8 - 180*x^7 + 480*x^6 - 840*x^5 + 1008*x^4 - 840*x^3 +
480*x^2 - 179*x + 36

Placing the root at 1:  52
-8*x^9 + 80*x^8 - 360*x^7 + 959*x^6 - 1672*x^5 + 1988*x^4 - 1624*x^3 +
890*x^2 - 304*x + 52

Placing the root at 2:  208
-44*x^9 + 440*x^8 - 1972*x^7 + 5208*x^6 - 8953*x^5 + 10424*x^4 -
8260*x^3 + 4328*x^2 - 1378*x + 208

Placing the root at 3:  98
-17*x^9 + 170*x^8 - 763*x^7 + 2022*x^6 - 3498*x^5 + 4116*x^4 - 3318*x^3
+ 1788*x^2 - 597*x + 98

Placing the root at 0:  19
-2*x^9 + 20*x^8 - 90*x^7 + 240*x^6 - 420*x^5 + 504*x^4 - 420*x^3 +
240*x^2 - 90*x + 19

Placing the root at 1:  54
-9*x^9 + 90*x^8 - 404*x^7 + 1071*x^6 - 1854*x^5 + 2184*x^4 - 1764*x^3 +
954*x^2 - 321*x + 54

Placing the root at 0:  10
-x^9 + 10*x^8 - 45*x^7 + 120*x^6 - 210*x^5 + 252*x^4 - 210*x^3 + 120*x^2
- 45*x + 10

CPU time: 61.16 s,  Wall time: 69.46 s
Placing the root at 1:  2
-x + 2

Placing the root at 1:  5
2*x^2 - 6*x + 5

Placing the root at 0:  3
x^2 - 3*x + 3

Placing the root at 1:  7
-2*x^3 + 8*x^2 - 12*x + 7

Placing the root at 2:  14
-5*x^3 + 20*x^2 - 28*x + 14

Placing the root at 1:  9
-3*x^3 + 12*x^2 - 17*x + 9

Placing the root at 0:  4
-x^3 + 4*x^2 - 6*x + 4

Placing the root at 1:  19
5*x^4 - 25*x^3 + 50*x^2 - 48*x + 19

Placing the root at 2:  42
14*x^4 - 70*x^3 + 135*x^2 - 120*x + 42

Placing the root at 0:  16
4*x^4 - 20*x^3 + 40*x^2 - 39*x + 16

Placing the root at 1:  12
3*x^4 - 15*x^3 + 30*x^2 - 29*x + 12

Placing the root at 2:  28
9*x^4 - 45*x^3 + 87*x^2 - 78*x + 28

Placing the root at 3:  23
7*x^4 - 35*x^3 + 68*x^2 - 62*x + 23

Placing the root at 0:  9
2*x^4 - 10*x^3 + 20*x^2 - 20*x + 9

Placing the root at 1:  14
4*x^4 - 20*x^3 + 39*x^2 - 36*x + 14

Placing the root at 0:  5
x^4 - 5*x^3 + 10*x^2 - 10*x + 5

Placing the root at 1:  43
-10*x^5 + 60*x^4 - 150*x^3 + 198*x^2 - 140*x + 43

Placing the root at 2:  56
-14*x^5 + 84*x^4 - 210*x^3 + 275*x^2 - 190*x + 56

Placing the root at 3:  132
-42*x^5 + 252*x^4 - 616*x^3 + 770*x^2 - 495*x + 132

Placing the root at 1:  24
-5*x^5 + 30*x^4 - 75*x^3 + 100*x^2 - 73*x + 24

Placing the root at 2:  66
-19*x^5 + 114*x^4 - 280*x^3 + 355*x^2 - 235*x + 66

Placing the root at 0:  27
-6*x^5 + 36*x^4 - 90*x^3 + 119*x^2 - 85*x + 27

Placing the root at 4:  37
-9*x^5 + 54*x^4 - 135*x^3 + 177*x^2 - 123*x + 37

Placing the root at 5:  90
-28*x^5 + 168*x^4 - 411*x^3 + 515*x^2 - 333*x + 90

Placing the root at 1:  15
-3*x^5 + 18*x^4 - 45*x^3 + 60*x^2 - 44*x + 15

Placing the root at 2:  43
-12*x^5 + 72*x^4 - 177*x^3 + 225*x^2 - 150*x + 43

Placing the root at 1:  30
-7*x^5 + 42*x^4 - 105*x^3 + 138*x^2 - 97*x + 30

Placing the root at 2:  76
-23*x^5 + 138*x^4 - 338*x^3 + 425*x^2 - 277*x + 76

Placing the root at 0:  20
-4*x^5 + 24*x^4 - 60*x^3 + 80*x^2 - 59*x + 20

Placing the root at 5:  57
-16*x^5 + 96*x^4 - 236*x^3 + 300*x^2 - 200*x + 57

Placing the root at 1:  18
-4*x^5 + 24*x^4 - 60*x^3 + 79*x^2 - 56*x + 18

Placing the root at 2:  48
-14*x^5 + 84*x^4 - 206*x^3 + 260*x^2 - 171*x + 48

Placing the root at 3:  34
-9*x^5 + 54*x^4 - 133*x^3 + 170*x^2 - 115*x + 34

Placing the root at 0:  11
-2*x^5 + 12*x^4 - 30*x^3 + 40*x^2 - 30*x + 11

Placing the root at 1:  20
-5*x^5 + 30*x^4 - 74*x^3 + 95*x^2 - 65*x + 20

Placing the root at 0:  6
-x^5 + 6*x^4 - 15*x^3 + 20*x^2 - 15*x + 6

Placing the root at 1:  126
28*x^6 - 196*x^5 + 588*x^4 - 975*x^3 + 950*x^2 - 520*x + 126

Placing the root at 2:  174
42*x^6 - 294*x^5 + 882*x^4 - 1456*x^3 + 1400*x^2 - 747*x + 174

Placing the root at 3:  429
132*x^6 - 924*x^5 + 2730*x^4 - 4368*x^3 + 4004*x^2 - 2002*x + 429

Placing the root at 0:  115
25*x^6 - 175*x^5 + 525*x^4 - 871*x^3 + 851*x^2 - 469*x + 115

Placing the root at 1:  83
18*x^6 - 126*x^5 + 378*x^4 - 627*x^3 + 612*x^2 - 337*x + 83

Placing the root at 2:  118
28*x^6 - 196*x^5 + 588*x^4 - 971*x^3 + 935*x^2 - 501*x + 118

Placing the root at 3:  297
90*x^6 - 630*x^5 + 1862*x^4 - 2982*x^3 + 2739*x^2 - 1375*x + 297

Placing the root at 4:  70
14*x^6 - 98*x^5 + 294*x^4 - 490*x^3 + 485*x^2 - 274*x + 70

Placing the root at 5:  202
56*x^6 - 392*x^5 + 1162*x^4 - 1876*x^3 + 1750*x^2 - 901*x + 202

Placing the root at 0:  72
15*x^6 - 105*x^5 + 315*x^4 - 523*x^3 + 513*x^2 - 286*x + 72

Placing the root at 1:  67
14*x^6 - 98*x^5 + 294*x^4 - 488*x^3 + 478*x^2 - 266*x + 67

Placing the root at 0:  53
10*x^6 - 70*x^5 + 210*x^4 - 350*x^3 + 348*x^2 - 200*x + 53

Placing the root at 2:  99
23*x^6 - 161*x^5 + 483*x^4 - 798*x^3 + 770*x^2 - 415*x + 99

Placing the root at 3:  255
76*x^6 - 532*x^5 + 1573*x^4 - 2522*x^3 + 2322*x^2 - 1171*x + 255

Placing the root at 4:  85
19*x^6 - 133*x^5 + 399*x^4 - 660*x^3 + 640*x^2 - 349*x + 85

Placing the root at 5:  227
66*x^6 - 462*x^5 + 1367*x^4 - 2196*x^3 + 2030*x^2 - 1031*x + 227

Placing the root at 6:  161
43*x^6 - 301*x^5 + 893*x^4 - 1445*x^3 + 1355*x^2 - 705*x + 161

Placing the root at 1:  29
5*x^6 - 35*x^5 + 105*x^4 - 175*x^3 + 175*x^2 - 103*x + 29

Placing the root at 2:  95
24*x^6 - 168*x^5 + 499*x^4 - 810*x^3 + 765*x^2 - 404*x + 95

Placing the root at 0:  40
8*x^6 - 56*x^5 + 168*x^4 - 279*x^3 + 274*x^2 - 154*x + 40

Placing the root at 5:  62
14*x^6 - 98*x^5 + 294*x^4 - 486*x^3 + 470*x^2 - 255*x + 62

Placing the root at 6:  165
48*x^6 - 336*x^5 + 994*x^4 - 1596*x^3 + 1474*x^2 - 748*x + 165

Placing the root at 1:  46
9*x^6 - 63*x^5 + 189*x^4 - 315*x^3 + 312*x^2 - 177*x + 46

Placing the root at 2:  136
37*x^6 - 259*x^5 + 768*x^4 - 1241*x^3 + 1160*x^2 - 600*x + 136

Placing the root at 0:  45
9*x^6 - 63*x^5 + 189*x^4 - 314*x^3 + 309*x^2 - 174*x + 45

Placing the root at 1:  37
7*x^6 - 49*x^5 + 147*x^4 - 245*x^3 + 243*x^2 - 139*x + 37

Placing the root at 2:  113
30*x^6 - 210*x^5 + 623*x^4 - 1008*x^3 + 945*x^2 - 492*x + 113

Placing the root at 0:  33
6*x^6 - 42*x^5 + 126*x^4 - 210*x^3 + 209*x^2 - 121*x + 33

Placing the root at 4:  55
12*x^6 - 84*x^5 + 252*x^4 - 417*x^3 + 405*x^2 - 222*x + 55

Placing the root at 5:  151
43*x^6 - 301*x^5 + 891*x^4 - 1433*x^3 + 1328*x^2 - 678*x + 151

Placing the root at 6:  104
27*x^6 - 189*x^5 + 561*x^4 - 909*x^3 + 855*x^2 - 448*x + 104

Placing the root at 1:  22
4*x^6 - 28*x^5 + 84*x^4 - 140*x^3 + 139*x^2 - 80*x + 22

Placing the root at 2:  70
18*x^6 - 126*x^5 + 374*x^4 - 606*x^3 + 570*x^2 - 299*x + 70

Placing the root at 4:  61
15*x^6 - 105*x^5 + 312*x^4 - 507*x^3 + 480*x^2 - 255*x + 61

Placing the root at 0:  18
3*x^6 - 21*x^5 + 63*x^4 - 105*x^3 + 105*x^2 - 62*x + 18

Placing the root at 1:  73
16*x^6 - 112*x^5 + 336*x^4 - 556*x^3 + 540*x^2 - 296*x + 73

Placing the root at 2:  199
57*x^6 - 399*x^5 + 1181*x^4 - 1899*x^3 + 1759*x^2 - 897*x + 199

Placing the root at 0:  44
8*x^6 - 56*x^5 + 168*x^4 - 280*x^3 + 279*x^2 - 162*x + 44

Placing the root at 1:  43
9*x^6 - 63*x^5 + 189*x^4 - 313*x^3 + 305*x^2 - 169*x + 43

Placing the root at 2:  123
34*x^6 - 238*x^5 + 705*x^4 - 1136*x^3 + 1057*x^2 - 544*x + 123

Placing the root at 5:  81
20*x^6 - 140*x^5 + 416*x^4 - 676*x^3 + 640*x^2 - 340*x + 81

Placing the root at 0:  24
4*x^6 - 28*x^5 + 84*x^4 - 140*x^3 + 140*x^2 - 83*x + 24

Placing the root at 1:  25
5*x^6 - 35*x^5 + 105*x^4 - 174*x^3 + 170*x^2 - 95*x + 25

Placing the root at 2:  75
20*x^6 - 140*x^5 + 415*x^4 - 670*x^3 + 626*x^2 - 325*x + 75

Placing the root at 3:  47
11*x^6 - 77*x^5 + 229*x^4 - 373*x^3 + 355*x^2 - 191*x + 47

Placing the root at 0:  13
2*x^6 - 14*x^5 + 42*x^4 - 70*x^3 + 70*x^2 - 42*x + 13

Placing the root at 1:  27
6*x^6 - 42*x^5 + 125*x^4 - 204*x^3 + 195*x^2 - 106*x + 27

Placing the root at 0:  7
x^6 - 7*x^5 + 21*x^4 - 35*x^3 + 35*x^2 - 21*x + 7

Placing the root at 1:  336
-70*x^7 + 560*x^6 - 1960*x^5 + 3910*x^4 - 4830*x^3 + 3719*x^2 - 1664*x + 336

Placing the root at 2:  390
-84*x^7 + 672*x^6 - 2352*x^5 + 4690*x^4 - 5782*x^3 + 4429*x^2 - 1962*x + 390

Placing the root at 3:  561
-132*x^7 + 1056*x^6 - 3696*x^5 + 7350*x^4 - 8988*x^3 + 6776*x^2 - 2926*x + 561

Placing the root at 4:  1430
-429*x^7 + 3432*x^6 - 11880*x^5 + 23100*x^4 - 27300*x^3 + 19656*x^2 - 8008*x + 1430

Placing the root at 1:  210
-42*x^7 + 336*x^6 - 1176*x^5 + 2347*x^4 - 2905*x^3 + 2249*x^2 - 1018*x + 210

Placing the root at 2:  216
-42*x^7 + 336*x^6 - 1176*x^5 + 2352*x^4 - 2926*x^3 + 2282*x^2 - 1041*x + 216

Placing the root at 3:  645
-174*x^7 + 1392*x^6 - 4830*x^5 + 9450*x^4 - 11298*x^3 + 8288*x^2 - 3472*x + 645

Placing the root at 0:  221
-45*x^7 + 360*x^6 - 1260*x^5 + 2514*x^4 - 3108*x^3 + 2399*x^2 - 1080*x + 221

Placing the root at 5:  264
-56*x^7 + 448*x^6 - 1568*x^5 + 3127*x^4 - 3857*x^3 + 2959*x^2 - 1316*x + 264

Placing the root at 6:  387
-90*x^7 + 720*x^6 - 2520*x^5 + 5012*x^4 - 6132*x^3 + 4629*x^2 - 2005*x + 387

Placing the root at 7:  1001
-297*x^7 + 2376*x^6 - 8226*x^5 + 16002*x^4 - 18928*x^3 + 13650*x^2 - 5577*x + 1001

Placing the root at 1:  138
-27*x^7 + 216*x^6 - 756*x^5 + 1509*x^4 - 1869*x^3 + 1450*x^2 - 660*x + 138

Placing the root at 2:  146
-28*x^7 + 224*x^6 - 784*x^5 + 1568*x^4 - 1951*x^3 + 1523*x^2 - 697*x + 146

Placing the root at 3:  443
-118*x^7 + 944*x^6 - 3276*x^5 + 6412*x^4 - 7672*x^3 + 5637*x^2 - 2369*x + 443

Placing the root at 1:  154
-28*x^7 + 224*x^6 - 784*x^5 + 1568*x^4 - 1955*x^3 + 1538*x^2 - 716*x + 154

Placing the root at 0:  178
-35*x^7 + 280*x^6 - 980*x^5 + 1956*x^4 - 2422*x^3 + 1878*x^2 - 854*x + 178

Placing the root at 2:  258
-56*x^7 + 448*x^6 - 1568*x^5 + 3122*x^4 - 3836*x^3 + 2926*x^2 - 1293*x + 258

Placing the root at 3:  715
-202*x^7 + 1616*x^6 - 5600*x^5 + 10920*x^4 - 12978*x^3 + 9436*x^2 - 3906*x + 715

Placing the root at 4:  488
-126*x^7 + 1008*x^6 - 3500*x^5 + 6860*x^4 - 8232*x^3 + 6081*x^2 - 2578*x + 488

Placing the root at 5:  221
-46*x^7 + 368*x^6 - 1288*x^5 + 2569*x^4 - 3171*x^3 + 2438*x^2 - 1090*x + 221

Placing the root at 6:  331
-76*x^7 + 608*x^6 - 2128*x^5 + 4233*x^4 - 5182*x^3 + 3918*x^2 - 1703*x + 331

Placing the root at 7:  869
-255*x^7 + 2040*x^6 - 7064*x^5 + 13748*x^4 - 16277*x^3 + 11758*x^2 - 4818*x + 869

Placing the root at 1:  101
-18*x^7 + 144*x^6 - 504*x^5 + 1008*x^4 - 1257*x^3 + 990*x^2 - 463*x + 101

Placing the root at 2:  173
-37*x^7 + 296*x^6 - 1036*x^5 + 2063*x^4 - 2536*x^3 + 1937*x^2 - 859*x + 173

Placing the root at 3:  488
-136*x^7 + 1088*x^6 - 3771*x^5 + 7357*x^4 - 8752*x^3 + 6375*x^2 - 2648*x + 488

Placing the root at 4:  327
-83*x^7 + 664*x^6 - 2306*x^5 + 4522*x^4 - 5432*x^3 + 4021*x^2 - 1712*x + 327

Placing the root at 5:  122
-23*x^7 + 184*x^6 - 644*x^5 + 1288*x^4 - 1603*x^3 + 1253*x^2 - 576*x + 122

Placing the root at 6:  377
-99*x^7 + 792*x^6 - 2749*x^5 + 5383*x^4 - 6447*x^3 + 4746*x^2 - 2002*x + 377

Placing the root at 0:  111
-21*x^7 + 168*x^6 - 588*x^5 + 1174*x^4 - 1456*x^3 + 1134*x^2 - 521*x + 111

Placing the root at 1:  81
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 978*x^3 + 772*x^2 - 364*x + 81

Placing the root at 2:  143
-30*x^7 + 240*x^6 - 840*x^5 + 1673*x^4 - 2058*x^3 + 1575*x^2 - 702*x + 143

Placing the root at 3:  412
-113*x^7 + 904*x^6 - 3134*x^5 + 6118*x^4 - 7287*x^3 + 5320*x^2 - 2219*x + 412

Placing the root at 4:  270
-67*x^7 + 536*x^6 - 1862*x^5 + 3654*x^4 - 4396*x^3 + 3264*x^2 - 1398*x + 270

Placing the root at 1:  189
-38*x^7 + 304*x^6 - 1064*x^5 + 2123*x^4 - 2625*x^3 + 2028*x^2 - 916*x + 189

Placing the root at 2:  293
-66*x^7 + 528*x^6 - 1848*x^5 + 3677*x^4 - 4506*x^3 + 3416*x^2 - 1493*x + 293

Placing the root at 3:  785
-227*x^7 + 1816*x^6 - 6290*x^5 + 12250*x^4 - 14523*x^3 + 10516*x^2 - 4326*x + 785

Placing the root at 0:  140
-25*x^7 + 200*x^6 - 700*x^5 + 1400*x^4 - 1746*x^3 + 1376*x^2 - 644*x + 140

Placing the root at 7:  451
-115*x^7 + 920*x^6 - 3195*x^5 + 6265*x^4 - 7525*x^3 + 5569*x^2 - 2369*x + 451

Placing the root at 1:  138
-28*x^7 + 224*x^6 - 784*x^5 + 1564*x^4 - 1932*x^3 + 1489*x^2 - 670*x + 138

Placing the root at 2:  213
-48*x^7 + 384*x^6 - 1344*x^5 + 2674*x^4 - 3276*x^3 + 2482*x^2 - 1084*x + 213

Placing the root at 3:  572
-165*x^7 + 1320*x^6 - 4572*x^5 + 8904*x^4 - 10556*x^3 + 7644*x^2 - 3146*x + 572

Placing the root at 4:  84
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 980*x^3 + 779*x^2 - 372*x + 84

Placing the root at 5:  286
-70*x^7 + 560*x^6 - 1946*x^5 + 3822*x^4 - 4606*x^3 + 3430*x^2 - 1475*x + 286

Placing the root at 0:  106
-20*x^7 + 160*x^6 - 560*x^5 + 1118*x^4 - 1386*x^3 + 1079*x^2 - 496*x + 106

Placing the root at 1:  122
-24*x^7 + 192*x^6 - 672*x^5 + 1341*x^4 - 1659*x^3 + 1284*x^2 - 583*x + 122

Placing the root at 2:  194
-43*x^7 + 344*x^6 - 1204*x^5 + 2396*x^4 - 2938*x^3 + 2231*x^2 - 979*x + 194

Placing the root at 3:  530
-151*x^7 + 1208*x^6 - 4185*x^5 + 8155*x^4 - 9679*x^3 + 7023*x^2 - 2900*x + 530

Placing the root at 4:  104
-19*x^7 + 152*x^6 - 532*x^5 + 1064*x^4 - 1325*x^3 + 1039*x^2 - 482*x + 104

Placing the root at 5:  331
-85*x^7 + 680*x^6 - 2361*x^5 + 4627*x^4 - 5551*x^3 + 4100*x^2 - 1740*x + 331

Placing the root at 0:  87
-15*x^7 + 120*x^6 - 420*x^5 + 840*x^4 - 1048*x^3 + 828*x^2 - 391*x + 87

Placing the root at 7:  290
-72*x^7 + 576*x^6 - 2001*x^5 + 3927*x^4 - 4725*x^3 + 3509*x^2 - 1503*x + 290

Placing the root at 1:  162
-32*x^7 + 256*x^6 - 896*x^5 + 1788*x^4 - 2212*x^3 + 1712*x^2 - 777*x + 162

Placing the root at 2:  256
-57*x^7 + 456*x^6 - 1596*x^5 + 3176*x^4 - 3894*x^3 + 2956*x^2 - 1296*x + 256

Placing the root at 3:  695
-199*x^7 + 1592*x^6 - 5515*x^5 + 10745*x^4 - 12749*x^3 + 9245*x^2 - 3813*x + 695

Placing the root at 4:  204
-43*x^7 + 344*x^6 - 1204*x^5 + 2398*x^4 - 2950*x^3 + 2258*x^2 - 1006*x + 204

Placing the root at 5:  583
-161*x^7 + 1288*x^6 - 4465*x^5 + 8715*x^4 - 10377*x^3 + 7571*x^2 - 3153*x + 583

Placing the root at 0:  116
-20*x^7 + 160*x^6 - 560*x^5 + 1120*x^4 - 1398*x^3 + 1106*x^2 - 523*x + 116

Placing the root at 1:  95
-18*x^7 + 144*x^6 - 504*x^5 + 1006*x^4 - 1246*x^3 + 968*x^2 - 444*x + 95

Placing the root at 2:  157
-34*x^7 + 272*x^6 - 952*x^5 + 1895*x^4 - 2326*x^3 + 1771*x^2 - 782*x + 157

Placing the root at 3:  440
-123*x^7 + 984*x^6 - 3410*x^5 + 6650*x^4 - 7905*x^3 + 5752*x^2 - 2387*x + 440

Placing the root at 4:  119
-24*x^7 + 192*x^6 - 672*x^5 + 1339*x^4 - 1650*x^3 + 1269*x^2 - 572*x + 119

Placing the root at 5:  356
-95*x^7 + 760*x^6 - 2636*x^5 + 5152*x^4 - 6151*x^3 + 4510*x^2 - 1895*x + 356

Placing the root at 6:  224
-53*x^7 + 424*x^6 - 1474*x^5 + 2898*x^4 - 3500*x^3 + 2618*x^2 - 1136*x + 224

Placing the root at 0:  63
-10*x^7 + 80*x^6 - 280*x^5 + 560*x^4 - 700*x^3 + 558*x^2 - 270*x + 63

Placing the root at 1:  34
-5*x^7 + 40*x^6 - 140*x^5 + 280*x^4 - 350*x^3 + 280*x^2 - 138*x + 34

Placing the root at 2:  129
-29*x^7 + 232*x^6 - 807*x^5 + 1589*x^4 - 1925*x^3 + 1449*x^2 - 637*x + 129

Placing the root at 0:  55
-10*x^7 + 80*x^6 - 280*x^5 + 559*x^4 - 693*x^3 + 540*x^2 - 250*x + 55

Placing the root at 6:  95
-20*x^7 + 160*x^6 - 560*x^5 + 1115*x^4 - 1370*x^3 + 1046*x^2 - 465*x + 95

Placing the root at 7:  275
-75*x^7 + 600*x^6 - 2080*x^5 + 4060*x^4 - 4835*x^3 + 3530*x^2 - 1474*x + 275

Placing the root at 1:  55
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 630*x^3 + 501*x^2 - 240*x + 55

Placing the root at 2:  191
-46*x^7 + 368*x^6 - 1279*x^5 + 2513*x^4 - 3031*x^3 + 2261*x^2 - 976*x + 191

Placing the root at 5:  76
-14*x^7 + 112*x^6 - 392*x^5 + 784*x^4 - 976*x^3 + 764*x^2 - 353*x + 76

Placing the root at 6:  241
-62*x^7 + 496*x^6 - 1722*x^5 + 3374*x^4 - 4046*x^3 + 2986*x^2 - 1266*x + 241

Placing the root at 0:  66
-12*x^7 + 96*x^6 - 336*x^5 + 671*x^4 - 833*x^3 + 651*x^2 - 302*x + 66

Placing the root at 1:  44
-7*x^7 + 56*x^6 - 196*x^5 + 392*x^4 - 490*x^3 + 390*x^2 - 188*x + 44

Placing the root at 2:  157
-37*x^7 + 296*x^6 - 1029*x^5 + 2023*x^4 - 2443*x^3 + 1827*x^2 - 793*x + 157

Placing the root at 0:  48
-8*x^7 + 64*x^6 - 224*x^5 + 448*x^4 - 559*x^3 + 442*x^2 - 210*x + 48

Placing the root at 5:  88
-18*x^7 + 144*x^6 - 504*x^5 + 1004*x^4 - 1236*x^3 + 948*x^2 - 425*x + 88

Placing the root at 6:  261
-70*x^7 + 560*x^6 - 1942*x^5 + 3794*x^4 - 4526*x^3 + 3314*x^2 - 1390*x + 261

Placing the root at 7:  166
-40*x^7 + 320*x^6 - 1112*x^5 + 2184*x^4 - 2632*x^3 + 1961*x^2 - 846*x + 166

Placing the root at 1:  26
-4*x^7 + 32*x^6 - 112*x^5 + 224*x^4 - 280*x^3 + 223*x^2 - 108*x + 26

Placing the root at 2:  96
-22*x^7 + 176*x^6 - 612*x^5 + 1204*x^4 - 1456*x^3 + 1092*x^2 - 477*x + 96

Placing the root at 1:  67
-12*x^7 + 96*x^6 - 336*x^5 + 672*x^4 - 837*x^3 + 657*x^2 - 306*x + 67

Placing the root at 2:  218
-55*x^7 + 440*x^6 - 1528*x^5 + 2996*x^4 - 3598*x^3 + 2663*x^2 - 1135*x + 218

Placing the root at 0:  54
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 629*x^3 + 498*x^2 - 237*x + 54

Placing the root at 7:  186
-45*x^7 + 360*x^6 - 1251*x^5 + 2457*x^4 - 2961*x^3 + 2206*x^2 - 951*x + 186

Placing the root at 1:  89
-16*x^7 + 128*x^6 - 448*x^5 + 896*x^4 - 1116*x^3 + 876*x^2 - 408*x + 89

Placing the root at 2:  288
-73*x^7 + 584*x^6 - 2028*x^5 + 3976*x^4 - 4774*x^3 + 3532*x^2 - 1504*x + 288

Placing the root at 4:  131
-27*x^7 + 216*x^6 - 756*x^5 + 1506*x^4 - 1854*x^3 + 1422*x^2 - 637*x + 131

Placing the root at 5:  384
-104*x^7 + 832*x^6 - 2885*x^5 + 5635*x^4 - 6719*x^3 + 4915*x^2 - 2057*x + 384

Placing the root at 0:  72
-12*x^7 + 96*x^6 - 336*x^5 + 672*x^4 - 839*x^3 + 665*x^2 - 317*x + 72

Placing the root at 1:  52
-9*x^7 + 72*x^6 - 252*x^5 + 504*x^4 - 628*x^3 + 494*x^2 - 232*x + 52

Placing the root at 2:  175
-43*x^7 + 344*x^6 - 1195*x^5 + 2345*x^4 - 2821*x^3 + 2095*x^2 - 899*x + 175

Placing the root at 4:  76
-15*x^7 + 120*x^6 - 420*x^5 + 837*x^4 - 1032*x^3 + 795*x^2 - 360*x + 76

Placing the root at 5:  233
-61*x^7 + 488*x^6 - 1693*x^5 + 3311*x^4 - 3958*x^3 + 2909*x^2 - 1228*x + 233

Placing the root at 6:  143
-33*x^7 + 264*x^6 - 918*x^5 + 1806*x^4 - 2184*x^3 + 1638*x^2 - 715*x + 143

Placing the root at 0:  39
-6*x^7 + 48*x^6 - 168*x^5 + 336*x^4 - 420*x^3 + 335*x^2 - 163*x + 39

Placing the root at 1:  30
-5*x^7 + 40*x^6 - 140*x^5 + 280*x^4 - 349*x^3 + 275*x^2 - 130*x + 30

Placing the root at 2:  105
-25*x^7 + 200*x^6 - 695*x^5 + 1365*x^4 - 1645*x^3 + 1226*x^2 - 530*x + 105

Placing the root at 4:  82
-18*x^7 + 144*x^6 - 501*x^5 + 987*x^4 - 1197*x^3 + 903*x^2 - 399*x + 82

Placing the root at 0:  21
-3*x^7 + 24*x^6 - 84*x^5 + 168*x^4 - 210*x^3 + 168*x^2 - 83*x + 21

Placing the root at 1:  101
-20*x^7 + 160*x^6 - 560*x^5 + 1116*x^4 - 1376*x^3 + 1060*x^2 - 480*x + 101

Placing the root at 2:  308
-81*x^7 + 648*x^6 - 2248*x^5 + 4396*x^4 - 5254*x^3 + 3860*x^2 - 1628*x + 308

Placing the root at 0:  52
-8*x^7 + 64*x^6 - 224*x^5 + 448*x^4 - 560*x^3 + 447*x^2 - 218*x + 52

Placing the root at 7:  190
-44*x^7 + 352*x^6 - 1224*x^5 + 2408*x^4 - 2912*x^3 + 2184*x^2 - 953*x + 190

Placing the root at 1:  58
-11*x^7 + 88*x^6 - 308*x^5 + 614*x^4 - 758*x^3 + 586*x^2 - 268*x + 58

Placing the root at 2:  185
-47*x^7 + 376*x^6 - 1305*x^5 + 2555*x^4 - 3061*x^3 + 2259*x^2 - 961*x + 185

Placing the root at 5:  109
-24*x^7 + 192*x^6 - 668*x^5 + 1316*x^4 - 1596*x^3 + 1204*x^2 - 532*x + 109

Placing the root at 0:  28
-4*x^7 + 32*x^6 - 112*x^5 + 224*x^4 - 280*x^3 + 224*x^2 - 111*x + 28

Placing the root at 1:  33
-6*x^7 + 48*x^6 - 168*x^5 + 335*x^4 - 414*x^3 + 321*x^2 - 148*x + 33

Placing the root at 2:  110
-27*x^7 + 216*x^6 - 750*x^5 + 1470*x^4 - 1765*x^3 + 1308*x^2 - 561*x + 110

Placing the root at 3:  62
-13*x^7 + 104*x^6 - 362*x^5 + 714*x^4 - 868*x^3 + 658*x^2 - 294*x + 62

Placing the root at 0:  15
-2*x^7 + 16*x^6 - 56*x^5 + 112*x^4 - 140*x^3 + 112*x^2 - 56*x + 15

Placing the root at 1:  35
-7*x^7 + 56*x^6 - 195*x^5 + 385*x^4 - 469*x^3 + 357*x^2 - 161*x + 35

Placing the root at 0:  8
-x^7 + 8*x^6 - 28*x^5 + 56*x^4 - 70*x^3 + 56*x^2 - 28*x + 8

Placing the root at 1:  1038
210*x^8 - 1890*x^7 + 7560*x^6 - 17612*x^5 + 26236*x^4 - 25700*x^3 + 16240*x^2 - 6081*x + 1038

Placing the root at 2:  1254
264*x^8 - 2376*x^7 + 9504*x^6 - 22134*x^5 + 32928*x^4 - 32144*x^3 + 20174*x^2 - 7469*x + 1254

Placing the root at 3:  1859
429*x^8 - 3861*x^7 + 15444*x^6 - 35904*x^5 + 53130*x^4 - 51324*x^3 + 31668*x^2 - 11440*x + 1859

Placing the root at 4:  4862
1430*x^8 - 12870*x^7 + 51051*x^6 - 116688*x^5 + 168300*x^4 - 157080*x^3 + 92820*x^2 - 31824*x + 4862

Placing the root at 0:  980
196*x^8 - 1764*x^7 + 7056*x^6 - 16439*x^5 + 24496*x^4 - 24016*x^3 + 15204*x^2 - 5712*x + 980

Placing the root at 1:  702
140*x^8 - 1260*x^7 + 5040*x^6 - 11742*x^5 + 17496*x^4 - 17151*x^3 + 10857*x^2 - 4081*x + 702

Placing the root at 2:  864
180*x^8 - 1620*x^7 + 6480*x^6 - 15092*x^5 + 22456*x^4 - 21933*x^3 + 13783*x^2 - 5117*x + 864

Placing the root at 3:  1298
297*x^8 - 2673*x^7 + 10692*x^6 - 24858*x^5 + 36792*x^4 - 35560*x^3 + 21966*x^2 - 7953*x + 1298

Placing the root at 4:  3432
1001*x^8 - 9009*x^7 + 35739*x^6 - 81708*x^5 + 117900*x^4 - 110124*x^3 + 65156*x^2 - 22386*x + 3432

Placing the root at 5:  648
126*x^8 - 1134*x^7 + 4536*x^6 - 10570*x^5 + 15764*x^4 - 15489*x^3 + 9849*x^2 - 3729*x + 648

Placing the root at 6:  693
132*x^8 - 1188*x^7 + 4752*x^6 - 11088*x^5 + 16590*x^4 - 16380*x^3 + 10472*x^2 - 3982*x + 693

Placing the root at 7:  2123
561*x^8 - 5049*x^7 + 20064*x^6 - 46068*x^5 + 66990*x^4 - 63336*x^3 + 38136*x^2 - 13420*x + 2123

Placing the root at 0:  644
126*x^8 - 1134*x^7 + 4536*x^6 - 10569*x^5 + 15756*x^4 - 15467*x^3 + 9821*x^2 - 3712*x + 644

Placing the root at 1:  587
115*x^8 - 1035*x^7 + 4140*x^6 - 9646*x^5 + 14378*x^4 - 14109*x^3 + 8953*x^2 - 3382*x + 587

Placing the root at 0:  518
98*x^8 - 882*x^7 + 3528*x^6 - 8222*x^5 + 12268*x^4 - 12072*x^3 + 7705*x^2 - 2940*x + 518

Placing the root at 2:  738
152*x^8 - 1368*x^7 + 5472*x^6 - 12745*x^5 + 18968*x^4 - 18538*x^3 + 11667*x^2 - 4345*x + 738

Placing the root at 3:  1124
255*x^8 - 2295*x^7 + 9180*x^6 - 21344*x^5 + 31598*x^4 - 30557*x^3 + 18898*x^2 - 6858*x + 1124

Placing the root at 4:  3003
869*x^8 - 7821*x^7 + 31029*x^6 - 70956*x^5 + 102430*x^4 - 95746*x^3 + 56719*x^2 - 19526*x + 3003

Placing the root at 5:  474
84*x^8 - 756*x^7 + 3024*x^6 - 7056*x^5 + 10570*x^4 - 10486*x^3 + 6781*x^2 - 2634*x + 474

Placing the root at 6:  819
174*x^8 - 1566*x^7 + 6264*x^6 - 14574*x^5 + 21630*x^4 - 21042*x^3 + 13160*x^2 - 4864*x + 819

Placing the root at 7:  2333
645*x^8 - 5805*x^7 + 23046*x^6 - 52788*x^5 + 76440*x^4 - 71820*x^3 + 42882*x^2 - 14932*x + 2333

Placing the root at 8:  1548
390*x^8 - 3510*x^7 + 13956*x^6 - 32088*x^5 + 46788*x^4 - 44450*x^3 + 26978*x^2 - 9611*x + 1548

Placing the root at 1:  501
95*x^8 - 855*x^7 + 3420*x^6 - 7970*x^5 + 11890*x^4 - 11695*x^3 + 7459*x^2 - 2844*x + 501

Placing the root at 0:  406
70*x^8 - 630*x^7 + 2520*x^6 - 5880*x^5 + 8810*x^4 - 8750*x^3 + 5679*x^2 - 2224*x + 406

Placing the root at 2:  652
132*x^8 - 1188*x^7 + 4752*x^6 - 11069*x^5 + 16480*x^4 - 16124*x^3 + 10173*x^2 - 3807*x + 652

Placing the root at 3:  1012
227*x^8 - 2043*x^7 + 8172*x^6 - 19002*x^5 + 28140*x^4 - 27235*x^3 + 16872*x^2 - 6142*x + 1012

Placing the root at 4:  2739
785*x^8 - 7065*x^7 + 28033*x^6 - 64124*x^5 + 92620*x^4 - 86660*x^3 + 51417*x^2 - 17744*x + 2739

Placing the root at 5:  572
112*x^8 - 1008*x^7 + 4032*x^6 - 9394*x^5 + 14000*x^4 - 13734*x^3 + 8713*x^2 - 3292*x + 572

Placing the root at 6:  917
202*x^8 - 1818*x^7 + 7272*x^6 - 16912*x^5 + 25060*x^4 - 24290*x^3 + 15092*x^2 - 5522*x + 917

Placing the root at 7:  2529
715*x^8 - 6435*x^7 + 25538*x^6 - 58444*x^5 + 84490*x^4 - 79170*x^3 + 47082*x^2 - 16304*x + 2529

Placing the root at 8:  1360
336*x^8 - 3024*x^7 + 12026*x^6 - 27664*x^5 + 40376*x^4 - 38426*x^3 + 23394*x^2 - 8377*x + 1360

Placing the root at 1:  308
56*x^8 - 504*x^7 + 2016*x^6 - 4699*x^5 + 7016*x^4 - 6918*x^3 + 4438*x^2 - 1712*x + 308

Placing the root at 2:  258
42*x^8 - 378*x^7 + 1512*x^6 - 3528*x^5 + 5292*x^4 - 5278*x^3 + 3458*x^2 - 1377*x + 258

Placing the root at 3:  903
216*x^8 - 1944*x^7 + 7734*x^6 - 17808*x^5 + 26040*x^4 - 24864*x^3 + 15218*x^2 - 5494*x + 903

Placing the root at 0:  366
70*x^8 - 630*x^7 + 2520*x^6 - 5872*x^5 + 8756*x^4 - 8602*x^3 + 5474*x^2 - 2081*x + 366

Placing the root at 6:  474
96*x^8 - 864*x^7 + 3456*x^6 - 8050*x^5 + 11984*x^4 - 11722*x^3 + 7392*x^2 - 2765*x + 474

Placing the root at 7:  737
165*x^8 - 1485*x^7 + 5940*x^6 - 13812*x^5 + 20454*x^4 - 19796*x^3 + 12264*x^2 - 4466*x + 737

Placing the root at 8:  2002
572*x^8 - 5148*x^7 + 20427*x^6 - 46728*x^5 + 67500*x^4 - 63168*x^3 + 37492*x^2 - 12948*x + 2002

Placing the root at 1:  252
42*x^8 - 378*x^7 + 1512*x^6 - 3528*x^5 + 5287*x^4 - 5257*x^3 + 3425*x^2 - 1354*x + 252

Placing the root at 2:  314
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7042*x^4 - 6972*x^3 + 4494*x^2 - 1741*x + 314

Placing the root at 3:  1029
258*x^8 - 2322*x^7 + 9232*x^6 - 21224*x^5 + 30940*x^4 - 29386*x^3 + 17836*x^2 - 6362*x + 1029

Placing the root at 0:  323
60*x^8 - 540*x^7 + 2160*x^6 - 5034*x^5 + 7512*x^4 - 7395*x^3 + 4727*x^2 - 1812*x + 323

Placing the root at 5:  872
210*x^8 - 1890*x^7 + 7518*x^6 - 17304*x^5 + 25284*x^4 - 24113*x^3 + 14735*x^2 - 5311*x + 872

Placing the root at 6:  431
86*x^8 - 774*x^7 + 3096*x^6 - 7212*x^5 + 10740*x^4 - 10515*x^3 + 6645*x^2 - 2496*x + 431

Placing the root at 7:  681
151*x^8 - 1359*x^7 + 5436*x^6 - 12641*x^5 + 18725*x^4 - 18135*x^3 + 11251*x^2 - 4108*x + 681

Placing the root at 8:  1870
530*x^8 - 4770*x^7 + 18929*x^6 - 43312*x^5 + 62595*x^4 - 58625*x^3 + 34841*x^2 - 12057*x + 1870

Placing the root at 1:  438
84*x^8 - 756*x^7 + 3024*x^6 - 7047*x^5 + 10512*x^4 - 10335*x^3 + 6582*x^2 - 2501*x + 438

Placing the root at 2:  477
90*x^8 - 810*x^7 + 3240*x^6 - 7560*x^5 + 11312*x^4 - 11172*x^3 + 7149*x^2 - 2725*x + 477

Placing the root at 3:  1478
387*x^8 - 3483*x^7 + 13842*x^6 - 31788*x^5 + 46242*x^4 - 43750*x^3 + 26376*x^2 - 9303*x + 1478

Placing the root at 0:  423
81*x^8 - 729*x^7 + 2916*x^6 - 6795*x^5 + 10134*x^4 - 9960*x^3 + 6342*x^2 - 2411*x + 423

Placing the root at 1:  366
69*x^8 - 621*x^7 + 2484*x^6 - 5789*x^5 + 8638*x^4 - 8500*x^3 + 5425*x^2 - 2071*x + 366

Placing the root at 2:  407
76*x^8 - 684*x^7 + 2736*x^6 - 6384*x^5 + 9553*x^4 - 9438*x^3 + 6046*x^2 - 2311*x + 407

Placing the root at 3:  1276
331*x^8 - 2979*x^7 + 11840*x^6 - 27196*x^5 + 39578*x^4 - 37473*x^3 + 22622*x^2 - 7998*x + 1276

Placing the root at 0:  340
63*x^8 - 567*x^7 + 2268*x^6 - 5286*x^5 + 7890*x^4 - 7772*x^3 + 4973*x^2 - 1908*x + 340

Placing the root at 5:  320
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7047*x^4 - 6993*x^3 + 4527*x^2 - 1764*x + 320

Placing the root at 6:  561
118*x^8 - 1062*x^7 + 4248*x^6 - 9884*x^5 + 14672*x^4 - 14280*x^3 + 8941*x^2 - 3313*x + 561

Placing the root at 7:  1618
443*x^8 - 3987*x^7 + 15830*x^6 - 36268*x^5 + 52542*x^4 - 49406*x^3 + 29540*x^2 - 10311*x + 1618

Placing the root at 8:  1060
264*x^8 - 2376*x^7 + 9448*x^6 - 21728*x^5 + 31696*x^4 - 30137*x^3 + 18319*x^2 - 6545*x + 1060

Placing the root at 1:  312
57*x^8 - 513*x^7 + 2052*x^6 - 4783*x^5 + 7142*x^4 - 7042*x^3 + 4515*x^2 - 1739*x + 312

Placing the root at 2:  359
66*x^8 - 594*x^7 + 2376*x^6 - 5544*x^5 + 8297*x^4 - 8202*x^3 + 5264*x^2 - 2021*x + 359

Placing the root at 3:  1144
293*x^8 - 2637*x^7 + 10482*x^6 - 24084*x^5 + 35070*x^4 - 33241*x^3 + 20106*x^2 - 7132*x + 1144

Placing the root at 0:  266
45*x^8 - 405*x^7 + 1620*x^6 - 3780*x^5 + 5664*x^4 - 5628*x^3 + 3659*x^2 - 1440*x + 266

Placing the root at 5:  383
74*x^8 - 666*x^7 + 2664*x^6 - 6207*x^5 + 9252*x^4 - 9081*x^3 + 5769*x^2 - 2187*x + 383

Placing the root at 6:  624
136*x^8 - 1224*x^7 + 4896*x^6 - 11387*x^5 + 16877*x^4 - 16368*x^3 + 10183*x^2 - 3736*x + 624

Placing the root at 7:  1744
488*x^8 - 4392*x^7 + 17432*x^6 - 39904*x^5 + 57717*x^4 - 54131*x^3 + 32240*x^2 - 11193*x + 1744

Placing the root at 8:  909
221*x^8 - 1989*x^7 + 7911*x^6 - 18204*x^5 + 26586*x^4 - 25332*x^3 + 15456*x^2 - 5557*x + 909

Placing the root at 1:  228
42*x^8 - 378*x^7 + 1512*x^6 - 3524*x^5 + 5260*x^4 - 5181*x^3 + 3315*x^2 - 1273*x + 228

Placing the root at 2:  261
48*x^8 - 432*x^7 + 1728*x^6 - 4032*x^5 + 6034*x^4 - 5964*x^3 + 3826*x^2 - 1468*x + 261

Placing the root at 3:  833
213*x^8 - 1917*x^7 + 7620*x^6 - 17508*x^5 + 25494*x^4 - 24164*x^3 + 14616*x^2 - 5186*x + 833

Placing the root at 5:  174
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3528*x^4 - 3519*x^3 + 2307*x^2 - 921*x + 174

Placing the root at 6:  617
146*x^8 - 1314*x^7 + 5228*x^6 - 12040*x^5 + 17612*x^4 - 16828*x^3 + 10313*x^2 - 3733*x + 617

Placing the root at 0:  202
36*x^8 - 324*x^7 + 1296*x^6 - 3021*x^5 + 4512*x^4 - 4453*x^3 + 2863*x^2 - 1110*x + 202

Placing the root at 1:  201
36*x^8 - 324*x^7 + 1296*x^6 - 3021*x^5 + 4512*x^4 - 4452*x^3 + 2860*x^2 - 1107*x + 201

Placing the root at 2:  237
43*x^8 - 387*x^7 + 1548*x^6 - 3612*x^5 + 5406*x^4 - 5346*x^3 + 3435*x^2 - 1323*x + 237

Placing the root at 3:  767
194*x^8 - 1746*x^7 + 6941*x^6 - 15952*x^5 + 23240*x^4 - 22048*x^3 + 13358*x^2 - 4753*x + 767

Placing the root at 5:  210
37*x^8 - 333*x^7 + 1332*x^6 - 3108*x^5 + 4653*x^4 - 4608*x^3 + 2973*x^2 - 1155*x + 210

Placing the root at 6:  698
173*x^8 - 1557*x^7 + 6191*x^6 - 14236*x^5 + 20762*x^4 - 19735*x^3 + 11996*x^2 - 4291*x + 698

Placing the root at 0:  165
27*x^8 - 243*x^7 + 972*x^6 - 2268*x^5 + 3399*x^4 - 3381*x^3 + 2206*x^2 - 876*x + 165

Placing the root at 8:  582
138*x^8 - 1242*x^7 + 4941*x^6 - 11376*x^5 + 16632*x^4 - 15879*x^3 + 9723*x^2 - 3518*x + 582

Placing the root at 1:  267
48*x^8 - 432*x^7 + 1728*x^6 - 4028*x^5 + 6016*x^4 - 5936*x^3 + 3813*x^2 - 1475*x + 267

Placing the root at 2:  313
57*x^8 - 513*x^7 + 2052*x^6 - 4788*x^5 + 7166*x^4 - 7086*x^3 + 4552*x^2 - 1752*x + 313

Placing the root at 3:  1008
256*x^8 - 2304*x^7 + 9159*x^6 - 21048*x^5 + 30660*x^4 - 29080*x^3 + 17610*x^2 - 6260*x + 1008

Placing the root at 5:  410
83*x^8 - 747*x^7 + 2988*x^6 - 6954*x^5 + 10332*x^4 - 10080*x^3 + 6345*x^2 - 2376*x + 410

Placing the root at 6:  1231
327*x^8 - 2943*x^7 + 11689*x^6 - 26804*x^5 + 38896*x^4 - 36680*x^3 + 22036*x^2 - 7751*x + 1231

Placing the root at 0:  220
36*x^8 - 324*x^7 + 1296*x^6 - 3024*x^5 + 4533*x^4 - 4512*x^3 + 2947*x^2 - 1171*x + 220

Placing the root at 1:  156
27*x^8 - 243*x^7 + 972*x^6 - 2266*x^5 + 3386*x^4 - 3346*x^3 + 2158*x^2 - 843*x + 156

Placing the root at 2:  191
34*x^8 - 306*x^7 + 1224*x^6 - 2856*x^5 + 4275*x^4 - 4230*x^3 + 2723*x^2 - 1054*x + 191

Placing the root at 3:  631
157*x^8 - 1413*x^7 + 5618*x^6 - 12916*x^5 + 18830*x^4 - 17887*x^3 + 10862*x^2 - 3881*x + 631

Placing the root at 5:  237
46*x^8 - 414*x^7 + 1656*x^6 - 3855*x^5 + 5733*x^4 - 5607*x^3 + 3549*x^2 - 1344*x + 237

Placing the root at 6:  743
191*x^8 - 1719*x^7 + 6830*x^6 - 15676*x^5 + 22787*x^4 - 21553*x^3 + 13013*x^2 - 4615*x + 743

Placing the root at 7:  446
101*x^8 - 909*x^7 + 3618*x^6 - 8340*x^5 + 12222*x^4 - 11718*x^3 + 7227*x^2 - 2646*x + 446

Placing the root at 0:  119
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2268*x^4 - 2265*x^3 + 1494*x^2 - 607*x + 119

Placing the root at 1:  336
56*x^8 - 504*x^7 + 2016*x^6 - 4704*x^5 + 7051*x^4 - 7016*x^3 + 4576*x^2 - 1810*x + 336

Placing the root at 2:  614
126*x^8 - 1134*x^7 + 4536*x^6 - 10556*x^5 + 15680*x^4 - 15288*x^3 + 9609*x^2 - 3586*x + 614

Placing the root at 3:  1814
488*x^8 - 4392*x^7 + 17442*x^6 - 39984*x^5 + 57988*x^4 - 54628*x^3 + 32760*x^2 - 11487*x + 1814

Placing the root at 0:  429
80*x^8 - 720*x^7 + 2880*x^6 - 6712*x^5 + 10016*x^4 - 9860*x^3 + 6302*x^2 - 2414*x + 429

Placing the root at 6:  569
114*x^8 - 1026*x^7 + 4104*x^6 - 9560*x^5 + 14236*x^4 - 13936*x^3 + 8804*x^2 - 3304*x + 569

Placing the root at 7:  894
199*x^8 - 1791*x^7 + 7164*x^6 - 16659*x^5 + 24675*x^4 - 23893*x^3 + 14817*x^2 - 5405*x + 894

Placing the root at 8:  2442
695*x^8 - 6255*x^7 + 24821*x^6 - 56788*x^5 + 82055*x^4 - 76825*x^3 + 45631*x^2 - 15775*x + 2442

Placing the root at 1:  182
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3528*x^4 - 3523*x^3 + 2322*x^2 - 940*x + 182

Placing the root at 2:  356
70*x^8 - 630*x^7 + 2520*x^6 - 5866*x^5 + 8722*x^4 - 8526*x^3 + 5390*x^2 - 2035*x + 356

Placing the root at 3:  1099
286*x^8 - 2574*x^7 + 10226*x^6 - 23464*x^5 + 34090*x^4 - 32214*x^3 + 19418*x^2 - 6866*x + 1099

Placing the root at 4:  670
154*x^8 - 1386*x^7 + 5516*x^6 - 12712*x^5 + 18620*x^4 - 17836*x^3 + 10981*x^2 - 4006*x + 670

Placing the root at 0:  251
45*x^8 - 405*x^7 + 1620*x^6 - 3776*x^5 + 5638*x^4 - 5560*x^3 + 3570*x^2 - 1382*x + 251

Placing the root at 6:  348
68*x^8 - 612*x^7 + 2448*x^6 - 5703*x^5 + 8496*x^4 - 8327*x^3 + 5276*x^2 - 1993*x + 348

Placing the root at 7:  563
123*x^8 - 1107*x^7 + 4428*x^6 - 10298*x^5 + 15260*x^4 - 14793*x^3 + 9196*x^2 - 3371*x + 563

Placing the root at 8:  1573
440*x^8 - 3960*x^7 + 15717*x^6 - 35976*x^5 + 52030*x^4 - 48790*x^3 + 29055*x^2 - 10088*x + 1573

Placing the root at 1:  267
46*x^8 - 414*x^7 + 1656*x^6 - 3864*x^5 + 5789*x^4 - 5747*x^3 + 3726*x^2 - 1458*x + 267

Placing the root at 2:  476
99*x^8 - 891*x^7 + 3564*x^6 - 8293*x^5 + 12313*x^4 - 11991*x^3 + 7518*x^2 - 2794*x + 476

Placing the root at 3:  1391
377*x^8 - 3393*x^7 + 13473*x^6 - 30876*x^5 + 44753*x^4 - 42119*x^3 + 25221*x^2 - 8826*x + 1391

Placing the root at 4:  899
221*x^8 - 1989*x^7 + 7910*x^6 - 18196*x^5 + 26558*x^4 - 25277*x^3 + 15393*x^2 - 5518*x + 899

Placing the root at 0:  273
49*x^8 - 441*x^7 + 1764*x^6 - 4112*x^5 + 6142*x^4 - 6062*x^3 + 3896*x^2 - 1508*x + 273

Placing the root at 1:  227
38*x^8 - 342*x^7 + 1368*x^6 - 3192*x^5 + 4783*x^4 - 4753*x^3 + 3092*x^2 - 1220*x + 227

Placing the root at 0:  213
35*x^8 - 315*x^7 + 1260*x^6 - 2940*x^5 + 4406*x^4 - 4382*x^3 + 2858*x^2 - 1134*x + 213

Placing the root at 2:  416
85*x^8 - 765*x^7 + 3060*x^6 - 7121*x^5 + 10577*x^4 - 10311*x^3 + 6480*x^2 - 2420*x + 416

Placing the root at 3:  1239
331*x^8 - 2979*x^7 + 11831*x^6 - 27124*x^5 + 39345*x^4 - 37079*x^3 + 22253*x^2 - 7816*x + 1239

Placing the root at 4:  785
189*x^8 - 1701*x^7 + 6766*x^6 - 15572*x^5 + 22750*x^4 - 21691*x^3 + 13251*x^2 - 4776*x + 785

Placing the root at 5:  316
60*x^8 - 540*x^7 + 2160*x^6 - 5033*x^5 + 7504*x^4 - 7371*x^3 + 4692*x^2 - 1787*x + 316

Placing the root at 6:  525
113*x^8 - 1017*x^7 + 4068*x^6 - 9462*x^5 + 14028*x^4 - 13615*x^3 + 8484*x^2 - 3123*x + 525

Placing the root at 7:  1489
412*x^8 - 3708*x^7 + 14719*x^6 - 33704*x^5 + 48778*x^4 - 45794*x^3 + 27321*x^2 - 9512*x + 1489

Placing the root at 8:  748
178*x^8 - 1602*x^7 + 6373*x^6 - 14672*x^5 + 21448*x^4 - 20472*x^3 + 12530*x^2 - 4530*x + 748

Placing the root at 1:  166
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3524*x^4 - 3500*x^3 + 2273*x^2 - 894*x + 166

Placing the root at 2:  303
62*x^8 - 558*x^7 + 2232*x^6 - 5194*x^5 + 7714*x^4 - 7518*x^3 + 4722*x^2 - 1762*x + 303

Placing the root at 3:  903
241*x^8 - 2169*x^7 + 8614*x^6 - 19748*x^5 + 28644*x^4 - 26992*x^3 + 16198*x^2 - 5690*x + 903

Placing the root at 4:  572
138*x^8 - 1242*x^7 + 4940*x^6 - 11368*x^5 + 16604*x^4 - 15824*x^3 + 9660*x^2 - 3479*x + 572

Placing the root at 5:  145
23*x^8 - 207*x^7 + 828*x^6 - 1932*x^5 + 2898*x^4 - 2891*x^3 + 1897*x^2 - 760*x + 145

Placing the root at 6:  522
122*x^8 - 1098*x^7 + 4369*x^6 - 10064*x^5 + 14728*x^4 - 14084*x^3 + 8645*x^2 - 3139*x + 522

Placing the root at 0:  162
28*x^8 - 252*x^7 + 1008*x^6 - 2350*x^5 + 3512*x^4 - 3472*x^3 + 2241*x^2 - 876*x + 162

Placing the root at 1:  146
24*x^8 - 216*x^7 + 864*x^6 - 2016*x^5 + 3021*x^4 - 3003*x^3 + 1956*x^2 - 775*x + 146

Placing the root at 2:  273
55*x^8 - 495*x^7 + 1980*x^6 - 4608*x^5 + 6846*x^4 - 6678*x^3 + 4203*x^2 - 1575*x + 273

Placing the root at 3:  827
218*x^8 - 1962*x^7 + 7793*x^6 - 17872*x^5 + 25940*x^4 - 24472*x^3 + 14714*x^2 - 5185*x + 827

Placing the root at 4:  515
122*x^8 - 1098*x^7 + 4368*x^6 - 10056*x^5 + 14700*x^4 - 14031*x^3 + 8589*x^2 - 3108*x + 515

Placing the root at 5:  173
30*x^8 - 270*x^7 + 1080*x^6 - 2520*x^5 + 3773*x^4 - 3738*x^3 + 2415*x^2 - 942*x + 173

Placing the root at 6:  585
143*x^8 - 1287*x^7 + 5118*x^6 - 11772*x^5 + 17178*x^4 - 16345*x^3 + 9954*x^2 - 3573*x + 585

Placing the root at 0:  132
21*x^8 - 189*x^7 + 756*x^6 - 1764*x^5 + 2644*x^4 - 2632*x^3 + 1722*x^2 - 689*x + 132

Placing the root at 8:  478
111*x^8 - 999*x^7 + 3975*x^6 - 9156*x^5 + 13398*x^4 - 12812*x^3 + 7868*x^2 - 2862*x + 478

Placing the root at 1:  194
32*x^8 - 288*x^7 + 1152*x^6 - 2688*x^5 + 4028*x^4 - 4004*x^3 + 2608*x^2 - 1033*x + 194

Placing the root at 2:  361
73*x^8 - 657*x^7 + 2628*x^6 - 6116*x^5 + 9086*x^4 - 8862*x^3 + 5576*x^2 - 2088*x + 361

Placing the root at 3:  1088
288*x^8 - 2592*x^7 + 10295*x^6 - 23608*x^5 + 34260*x^4 - 32312*x^3 + 19418*x^2 - 6836*x + 1088

Placing the root at 4:  681
162*x^8 - 1458*x^7 + 5800*x^6 - 13352*x^5 + 19516*x^4 - 18624*x^3 + 11396*x^2 - 4120*x + 681

Placing the root at 5:  337
67*x^8 - 603*x^7 + 2412*x^6 - 5614*x^5 + 8344*x^4 - 8148*x^3 + 5140*x^2 - 1934*x + 337

Placing the root at 6:  1032
270*x^8 - 2430*x^7 + 9653*x^6 - 22144*x^5 + 32158*x^4 - 30366*x^3 + 18284*x^2 - 6456*x + 1032

Placing the root at 0:  176
28*x^8 - 252*x^7 + 1008*x^6 - 2352*x^5 + 3526*x^4 - 3512*x^3 + 2300*x^2 - 921*x + 176

Placing the root at 1:  113
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2266*x^4 - 2254*x^3 + 1472*x^2 - 588*x + 113

Placing the root at 2:  218
43*x^8 - 387*x^7 + 1548*x^6 - 3603*x^5 + 5355*x^4 - 5229*x^3 + 3299*x^2 - 1243*x + 218

Placing the root at 3:  676
175*x^8 - 1575*x^7 + 6257*x^6 - 14356*x^5 + 20855*x^4 - 19705*x^3 + 11879*x^2 - 4205*x + 676

Placing the root at 4:  411
95*x^8 - 855*x^7 + 3402*x^6 - 7836*x^5 + 11466*x^4 - 10964*x^3 + 6734*x^2 - 2452*x + 411

Placing the root at 5:  194
37*x^8 - 333*x^7 + 1332*x^6 - 3101*x^5 + 4613*x^4 - 4515*x^3 + 2863*x^2 - 1089*x + 194

Placing the root at 6:  620
157*x^8 - 1413*x^7 + 5615*x^6 - 12892*x^5 + 18753*x^4 - 17759*x^3 + 10745*x^2 - 3825*x + 620

Placing the root at 7:  365
81*x^8 - 729*x^7 + 2902*x^6 - 6692*x^5 + 9814*x^4 - 9422*x^3 + 5826*x^2 - 2144*x + 365

Placing the root at 0:  95
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1762*x^3 + 1164*x^2 - 476*x + 95

Placing the root at 1:  451
86*x^8 - 774*x^7 + 3096*x^6 - 7214*x^5 + 10756*x^4 - 10566*x^3 + 6726*x^2 - 2560*x + 451

Placing the root at 2:  744
161*x^8 - 1449*x^7 + 5796*x^6 - 13481*x^5 + 19985*x^4 - 19393*x^3 + 12079*x^2 - 4441*x + 744

Placing the root at 3:  2094
583*x^8 - 5247*x^7 + 20827*x^6 - 47684*x^5 + 68993*x^4 - 64743*x^3 + 38595*x^2 - 13417*x + 2094

Placing the root at 0:  305
50*x^8 - 450*x^7 + 1800*x^6 - 4200*x^5 + 6296*x^4 - 6268*x^3 + 4096*x^2 - 1628*x + 305

Placing the root at 7:  566
115*x^8 - 1035*x^7 + 4140*x^6 - 9635*x^5 + 14315*x^4 - 13965*x^3 + 8789*x^2 - 3289*x + 566

Placing the root at 8:  1690
451*x^8 - 4059*x^7 + 16121*x^6 - 36964*x^5 + 53631*x^4 - 50561*x^3 + 30359*x^2 - 10667*x + 1690

Placing the root at 1:  262
48*x^8 - 432*x^7 + 1728*x^6 - 4027*x^5 + 6008*x^4 - 5913*x^3 + 3782*x^2 - 1455*x + 262

Placing the root at 2:  451
95*x^8 - 855*x^7 + 3420*x^6 - 7956*x^5 + 11802*x^4 - 11471*x^3 + 7170*x^2 - 2655*x + 451

Placing the root at 3:  1309
356*x^8 - 3204*x^7 + 12721*x^6 - 29144*x^5 + 42220*x^4 - 39704*x^3 + 23753*x^2 - 8306*x + 1309

Placing the root at 7:  616
140*x^8 - 1260*x^7 + 5015*x^6 - 11560*x^5 + 16940*x^4 - 16240*x^3 + 10014*x^2 - 3664*x + 616

Placing the root at 0:  165
25*x^8 - 225*x^7 + 900*x^6 - 2100*x^5 + 3150*x^4 - 3146*x^3 + 2076*x^2 - 844*x + 165

Placing the root at 1:  210
40*x^8 - 360*x^7 + 1440*x^6 - 3355*x^5 + 5000*x^4 - 4906*x^3 + 3117*x^2 - 1185*x + 210

Placing the root at 2:  350
75*x^8 - 675*x^7 + 2700*x^6 - 6280*x^5 + 9310*x^4 - 9035*x^3 + 5630*x^2 - 2074*x + 350

Placing the root at 3:  1001
275*x^8 - 2475*x^7 + 9825*x^6 - 22500*x^5 + 32570*x^4 - 30590*x^3 + 18265*x^2 - 6370*x + 1001

Placing the root at 4:  98
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1764*x^3 + 1171*x^2 - 484*x + 98

Placing the root at 5:  384
84*x^8 - 756*x^7 + 3010*x^6 - 6944*x^5 + 10192*x^4 - 9800*x^3 + 6076*x^2 - 2245*x + 384

Placing the root at 0:  145
25*x^8 - 225*x^7 + 900*x^6 - 2098*x^5 + 3134*x^4 - 3095*x^3 + 1995*x^2 - 780*x + 145

Placing the root at 1:  194
36*x^8 - 324*x^7 + 1296*x^6 - 3020*x^5 + 4504*x^4 - 4428*x^3 + 2825*x^2 - 1082*x + 194

Placing the root at 2:  331
70*x^8 - 630*x^7 + 2520*x^6 - 5862*x^5 + 8694*x^4 - 8446*x^3 + 5274*x^2 - 1950*x + 331

Placing the root at 3:  959
261*x^8 - 2349*x^7 + 9326*x^6 - 21364*x^5 + 30944*x^4 - 29092*x^3 + 17398*x^2 - 6082*x + 959

Placing the root at 4:  123
19*x^8 - 171*x^7 + 684*x^6 - 1596*x^5 + 2394*x^4 - 2389*x^3 + 1571*x^2 - 634*x + 123

Placing the root at 5:  454
104*x^8 - 936*x^7 + 3725*x^6 - 8584*x^5 + 12572*x^4 - 12040*x^3 + 7411*x^2 - 2705*x + 454

Placing the root at 0:  126
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2518*x^4 - 2506*x^3 + 1639*x^2 - 656*x + 126

Placing the root at 8:  458
106*x^8 - 954*x^7 + 3796*x^6 - 8744*x^5 + 12796*x^4 - 12238*x^3 + 7518*x^2 - 2737*x + 458

Placing the root at 1:  289
54*x^8 - 486*x^7 + 1944*x^6 - 4530*x^5 + 6756*x^4 - 6642*x^3 + 4237*x^2 - 1621*x + 289

Placing the root at 2:  488
104*x^8 - 936*x^7 + 3744*x^6 - 8709*x^5 + 12915*x^4 - 12543*x^3 + 7827*x^2 - 2889*x + 488

Placing the root at 3:  1399
384*x^8 - 3456*x^7 + 13720*x^6 - 31424*x^5 + 45499*x^4 - 42749*x^3 + 25537*x^2 - 8909*x + 1399

Placing the root at 4:  247
43*x^8 - 387*x^7 + 1548*x^6 - 3612*x^5 + 5408*x^4 - 5358*x^3 + 3462*x^2 - 1350*x + 247

Placing the root at 5:  830
204*x^8 - 1836*x^7 + 7301*x^6 - 16792*x^5 + 24500*x^4 - 23306*x^3 + 14186*x^2 - 5086*x + 830

Placing the root at 0:  189
30*x^8 - 270*x^7 + 1080*x^6 - 2520*x^5 + 3778*x^4 - 3764*x^3 + 2467*x^2 - 989*x + 189

Placing the root at 7:  362
72*x^8 - 648*x^7 + 2592*x^6 - 6033*x^5 + 8967*x^4 - 8757*x^3 + 5525*x^2 - 2079*x + 362

Placing the root at 8:  1107
290*x^8 - 2610*x^7 + 10368*x^6 - 23784*x^5 + 34539*x^4 - 32613*x^3 + 19635*x^2 - 6931*x + 1107

Placing the root at 1:  167
30*x^8 - 270*x^7 + 1080*x^6 - 2517*x^5 + 3756*x^4 - 3699*x^3 + 2370*x^2 - 916*x + 167

Placing the root at 2:  294
61*x^8 - 549*x^7 + 2196*x^6 - 5109*x^5 + 7581*x^4 - 7374*x^3 + 4617*x^2 - 1716*x + 294

Placing the root at 3:  869
233*x^8 - 2097*x^7 + 8327*x^6 - 19084*x^5 + 27665*x^4 - 26047*x^3 + 15614*x^2 - 5479*x + 869

Placing the root at 4:  143
24*x^8 - 216*x^7 + 864*x^6 - 2016*x^5 + 3019*x^4 - 2994*x^3 + 1941*x^2 - 764*x + 143

Placing the root at 5:  499
119*x^8 - 1071*x^7 + 4260*x^6 - 9804*x^5 + 14322*x^4 - 13655*x^3 + 8346*x^2 - 3015*x + 499

Placing the root at 7:  392
87*x^8 - 783*x^7 + 3117*x^6 - 7188*x^5 + 10542*x^4 - 10122*x^3 + 6260*x^2 - 2304*x + 392

Placing the root at 0:  102
15*x^8 - 135*x^7 + 540*x^6 - 1260*x^5 + 1890*x^4 - 1888*x^3 + 1248*x^2 - 511*x + 102

Placing the root at 1:  222
40*x^8 - 360*x^7 + 1440*x^6 - 3356*x^5 + 5008*x^4 - 4932*x^3 + 3160*x^2 - 1221*x + 222

Placing the root at 2:  389
81*x^8 - 729*x^7 + 2916*x^6 - 6784*x^5 + 10066*x^4 - 9790*x^3 + 6128*x^2 - 2276*x + 389

Placing the root at 3:  1144
308*x^8 - 2772*x^7 + 11007*x^6 - 25224*x^5 + 36560*x^4 - 34412*x^3 + 20618*x^2 - 7228*x + 1144

Placing the root at 4:  277
53*x^8 - 477*x^7 + 1908*x^6 - 4442*x^5 + 6608*x^4 - 6468*x^3 + 4102*x^2 - 1560*x + 277

Placing the root at 5:  880
224*x^8 - 2016*x^7 + 8011*x^6 - 18392*x^5 + 26750*x^4 - 25326*x^3 + 15316*x^2 - 5446*x + 880

Placing the root at 0:  136
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2520*x^4 - 2518*x^3 + 1666*x^2 - 683*x + 136

Placing the root at 8:  521
116*x^8 - 1044*x^7 + 4156*x^6 - 9584*x^5 + 14056*x^4 - 13496*x^3 + 8346*x^2 - 3070*x + 521

Placing the root at 1:  127
22*x^8 - 198*x^7 + 792*x^6 - 1846*x^5 + 2756*x^4 - 2718*x^3 + 1748*x^2 - 682*x + 127

Placing the root at 2:  232
47*x^8 - 423*x^7 + 1692*x^6 - 3937*x^5 + 5845*x^4 - 5693*x^3 + 3575*x^2 - 1337*x + 232

Placing the root at 3:  704
185*x^8 - 1665*x^7 + 6613*x^6 - 15164*x^5 + 22005*x^4 - 20755*x^3 + 12479*x^2 - 4401*x + 704

Placing the root at 4:  158
29*x^8 - 261*x^7 + 1044*x^6 - 2431*x^5 + 3619*x^4 - 3549*x^3 + 2261*x^2 - 869*x + 158

Placing the root at 5:  524
129*x^8 - 1161*x^7 + 4615*x^6 - 10604*x^5 + 15447*x^4 - 14665*x^3 + 8911*x^2 - 3195*x + 524

Placing the root at 6:  297
63*x^8 - 567*x^7 + 2258*x^6 - 5212*x^5 + 7658*x^4 - 7378*x^3 + 4592*x^2 - 1710*x + 297

Placing the root at 0:  73
10*x^8 - 90*x^7 + 360*x^6 - 840*x^5 + 1260*x^4 - 1260*x^3 + 838*x^2 - 350*x + 73

Placing the root at 1:  39
5*x^8 - 45*x^7 + 180*x^6 - 420*x^5 + 630*x^4 - 630*x^3 + 420*x^2 - 178*x + 39

Placing the root at 2:  168
34*x^8 - 306*x^7 + 1219*x^6 - 2816*x^5 + 4144*x^4 - 4004*x^3 + 2506*x^2 - 944*x + 168

Placing the root at 0:  72
12*x^8 - 108*x^7 + 432*x^6 - 1007*x^5 + 1504*x^4 - 1485*x^3 + 958*x^2 - 377*x + 72

Placing the root at 7:  137
27*x^8 - 243*x^7 + 972*x^6 - 2262*x^5 + 3360*x^4 - 3277*x^3 + 2064*x^2 - 777*x + 137

Placing the root at 8:  429
110*x^8 - 990*x^7 + 3933*x^6 - 9024*x^5 + 13110*x^4 - 12390*x^3 + 7475*x^2 - 2652*x + 429

Placing the root at 1:  64
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1134*x^3 + 753*x^2 - 312*x + 64

Placing the root at 2:  255
55*x^8 - 495*x^7 + 1971*x^6 - 4548*x^5 + 6678*x^4 - 6426*x^3 + 3990*x^2 - 1479*x + 255

Placing the root at 6:  115
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2515*x^4 - 2490*x^3 + 1606*x^2 - 625*x + 115

Placing the root at 7:  390
95*x^8 - 855*x^7 + 3400*x^6 - 7820*x^5 + 11410*x^4 - 10855*x^3 + 6610*x^2 - 2374*x + 390

Placing the root at 0:  90
15*x^8 - 135*x^7 + 540*x^6 - 1259*x^5 + 1882*x^4 - 1862*x^3 + 1205*x^2 - 475*x + 90

Placing the root at 1:  51
7*x^8 - 63*x^7 + 252*x^6 - 588*x^5 + 882*x^4 - 882*x^3 + 586*x^2 - 244*x + 51

Placing the root at 2:  208
44*x^8 - 396*x^7 + 1577*x^6 - 3640*x^5 + 5348*x^4 - 5152*x^3 + 3206*x^2 - 1194*x + 208

Placing the root at 0:  65
10*x^8 - 90*x^7 + 360*x^6 - 840*x^5 + 1259*x^4 - 1253*x^3 + 820*x^2 - 330*x + 65

Placing the root at 6:  130
25*x^8 - 225*x^7 + 900*x^6 - 2095*x^5 + 3115*x^4 - 3045*x^3 + 1926*x^2 - 730*x + 130

Placing the root at 7:  415
105*x^8 - 945*x^7 + 3755*x^6 - 8620*x^5 + 12535*x^4 - 11865*x^3 + 7175*x^2 - 2554*x + 415

Placing the root at 8:  245
55*x^8 - 495*x^7 + 1970*x^6 - 4540*x^5 + 6650*x^4 - 6371*x^3 + 3927*x^2 - 1440*x + 245

Placing the root at 1:  90
14*x^8 - 126*x^7 + 504*x^6 - 1176*x^5 + 1764*x^4 - 1760*x^3 + 1156*x^2 - 465*x + 90

Placing the root at 2:  331
76*x^8 - 684*x^7 + 2722*x^6 - 6272*x^5 + 9184*x^4 - 8792*x^3 + 5408*x^2 - 1972*x + 331

Placing the root at 0:  96
16*x^8 - 144*x^7 + 576*x^6 - 1343*x^5 + 2008*x^4 - 1988*x^3 + 1288*x^2 - 508*x + 96

Placing the root at 1:  79
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1512*x^4 - 1509*x^3 + 993*x^2 - 402*x + 79

Placing the root at 2:  297
67*x^8 - 603*x^7 + 2400*x^6 - 5532*x^5 + 8106*x^4 - 7770*x^3 + 4791*x^2 - 1755*x + 297

Placing the root at 5:  106
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2264*x^4 - 2244*x^3 + 1452*x^2 - 569*x + 106

Placing the root at 6:  367
88*x^8 - 792*x^7 + 3150*x^6 - 7248*x^5 + 10584*x^4 - 10084*x^3 + 6156*x^2 - 2220*x + 367

Placing the root at 0:  78
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1511*x^4 - 1505*x^3 + 987*x^2 - 398*x + 78

Placing the root at 8:  292
66*x^8 - 594*x^7 + 2364*x^6 - 5448*x^5 + 7980*x^4 - 7645*x^3 + 4711*x^2 - 1725*x + 292

Placing the root at 1:  105
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2016*x^4 - 2012*x^3 + 1324*x^2 - 536*x + 105

Placing the root at 2:  393
89*x^8 - 801*x^7 + 3188*x^6 - 7348*x^5 + 10766*x^4 - 10318*x^3 + 6360*x^2 - 2328*x + 393

Placing the root at 5:  206
40*x^8 - 360*x^7 + 1440*x^6 - 3352*x^5 + 4984*x^4 - 4872*x^3 + 3081*x^2 - 1166*x + 206

Placing the root at 6:  648
166*x^8 - 1494*x^7 + 5936*x^6 - 13624*x^5 + 19804*x^4 - 18732*x^3 + 11312*x^2 - 4015*x + 648

Placing the root at 0:  104
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2015*x^4 - 2008*x^3 + 1318*x^2 - 532*x + 104

Placing the root at 1:  61
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1132*x^3 + 746*x^2 - 304*x + 61

Placing the root at 2:  236
52*x^8 - 468*x^7 + 1863*x^6 - 4296*x^5 + 6300*x^4 - 6048*x^3 + 3740*x^2 - 1378*x + 236

Placing the root at 5:  118
22*x^8 - 198*x^7 + 792*x^6 - 1844*x^5 + 2744*x^4 - 2688*x^3 + 1708*x^2 - 653*x + 118

Placing the root at 6:  387
96*x^8 - 864*x^7 + 3434*x^6 - 7888*x^5 + 11484*x^4 - 10892*x^3 + 6608*x^2 - 2364*x + 387

Placing the root at 7:  222
48*x^8 - 432*x^7 + 1720*x^6 - 3968*x^5 + 5824*x^4 - 5600*x^3 + 3473*x^2 - 1286*x + 222

Placing the root at 0:  56
8*x^8 - 72*x^7 + 288*x^6 - 672*x^5 + 1008*x^4 - 1007*x^3 + 666*x^2 - 274*x + 56

Placing the root at 1:  35
5*x^8 - 45*x^7 + 180*x^6 - 420*x^5 + 630*x^4 - 629*x^3 + 415*x^2 - 170*x + 35

Placing the root at 2:  140
30*x^8 - 270*x^7 + 1075*x^6 - 2480*x^5 + 3640*x^4 - 3500*x^3 + 2171*x^2 - 805*x + 140

Placing the root at 5:  126
26*x^8 - 234*x^7 + 932*x^6 - 2152*x^5 + 3164*x^4 - 3052*x^3 + 1904*x^2 - 713*x + 126

Placing the root at 0:  30
4*x^8 - 36*x^7 + 144*x^6 - 336*x^5 + 504*x^4 - 504*x^3 + 335*x^2 - 140*x + 30

Placing the root at 1:  158
27*x^8 - 243*x^7 + 972*x^6 - 2268*x^5 + 3396*x^4 - 3366*x^3 + 2178*x^2 - 853*x + 158

Placing the root at 2:  542
131*x^8 - 1179*x^7 + 4689*x^6 - 10788*x^5 + 15750*x^4 - 15000*x^3 + 9150*x^2 - 3294*x + 542

Placing the root at 0:  117
18*x^8 - 162*x^7 + 648*x^6 - 1512*x^5 + 2267*x^4 - 2260*x^3 + 1485*x^2 - 600*x + 117

Placing the root at 7:  231
45*x^8 - 405*x^7 + 1620*x^6 - 3771*x^5 + 5607*x^4 - 5481*x^3 + 3466*x^2 - 1311*x + 231

Placing the root at 8:  723
186*x^8 - 1674*x^7 + 6651*x^6 - 15264*x^5 + 22185*x^4 - 20979*x^3 + 12663*x^2 - 4490*x + 723

Placing the root at 1:  91
15*x^8 - 135*x^7 + 540*x^6 - 1260*x^5 + 1887*x^4 - 1872*x^3 + 1215*x^2 - 480*x + 91

Placing the root at 2:  324
76*x^8 - 684*x^7 + 2721*x^6 - 6264*x^5 + 9156*x^4 - 8739*x^3 + 5352*x^2 - 1941*x + 324

Placing the root at 7:  249
54*x^8 - 486*x^7 + 1935*x^6 - 4464*x^5 + 6552*x^4 - 6300*x^3 + 3907*x^2 - 1446*x + 249

Placing the root at 0:  63
9*x^8 - 81*x^7 + 324*x^6 - 756*x^5 + 1134*x^4 - 1133*x^3 + 750*x^2 - 309*x + 63

Placing the root at 1:  121
20*x^8 - 180*x^7 + 720*x^6 - 1680*x^5 + 2516*x^4 - 2496*x^3 + 1620*x^2 - 640*x + 121

Placing the root at 2:  429
101*x^8 - 909*x^7 + 3616*x^6 - 8324*x^5 + 12166*x^4 - 11610*x^3 + 7108*x^2 - 2576*x + 429

Placing the root at 4:  176
33*x^8 - 297*x^7 + 1188*x^6 - 2766*x^5 + 4116*x^4 - 4032*x^3 + 2562*x^2 - 979*x + 176

Placing the root at 5:  572
143*x^8 - 1287*x^7 + 5115*x^6 - 11748*x^5 + 17100*x^4 - 16212*x^3 + 9828*x^2 - 3510*x + 572

Placing the root at 0:  84
12*x^8 - 108*x^7 + 432*x^6 - 1008*x^5 + 1512*x^4 - 1511*x^3 + 1001*x^2 - 413*x + 84

Placing the root at 8:  331
72*x^8 - 648*x^7 + 2580*x^6 - 5952*x^5 + 8736*x^4 - 8400*x^3 + 5209*x^2 - 1927*x + 331

Placing the root at 1:  69
11*x^8 - 99*x^7 + 396*x^6 - 924*x^5 + 1384*x^4 - 1374*x^3 + 894*x^2 - 356*x + 69

Placing the root at 2:  254
58*x^8 - 522*x^7 + 2077*x^6 - 4784*x^5 + 7000*x^4 - 6694*x^3 + 4114*x^2 - 1502*x + 254

Placing the root at 4:  100
18*x^8 - 162*x^7 + 648*x^6 - 1509*x^5 + 2247*x^4 - 2205*x^3 + 1407*x^2 - 543*x + 100

Placing the root at 5:  339
82*x^8 - 738*x^7 + 2934*x^6 - 6744*x^5 + 9831*x^4 - 9345*x^3 + 5691*x^2 - 2049*x + 339

Placing the root at 6:  188
39*x^8 - 351*x^7 + 1398*x^6 - 3228*x^5 + 4746*x^4 - 4578*x^3 + 2856*x^2 - 1069*x + 188

Placing the root at 0:  45
6*x^8 - 54*x^7 + 216*x^6 - 504*x^5 + 756*x^4 - 756*x^3 + 503*x^2 - 211*x + 45

Placing the root at 1:  39
6*x^8 - 54*x^7 + 216*x^6 - 504*x^5 + 755*x^4 - 750*x^3 + 489*x^2 - 196*x + 39

Placing the root at 2:  149
33*x^8 - 297*x^7 + 1182*x^6 - 2724*x^5 + 3990*x^4 - 3823*x^3 + 2358*x^2 - 867*x + 149

Placing the root at 4:  106
21*x^8 - 189*x^7 + 753*x^6 - 1740*x^5 + 2562*x^4 - 2478*x^3 + 1554*x^2 - 588*x + 106

Placing the root at 0:  24
3*x^8 - 27*x^7 + 108*x^6 - 252*x^5 + 378*x^4 - 378*x^3 + 252*x^2 - 107*x + 24

Placing the root at 1:  234
44*x^8 - 396*x^7 + 1584*x^6 - 3688*x^5 + 5488*x^4 - 5376*x^3 + 3416*x^2 - 1305*x + 234

Placing the root at 2:  757
190*x^8 - 1710*x^7 + 6796*x^6 - 15608*x^5 + 22716*x^4 - 21532*x^3 + 13048*x^2 - 4656*x + 757

Placing the root at 0:  112
16*x^8 - 144*x^7 + 576*x^6 - 1344*x^5 + 2016*x^4 - 2015*x^3 + 1336*x^2 - 552*x + 112

Placing the root at 1:  133
24*x^8 - 216*x^7 + 864*x^6 - 2012*x^5 + 2996*x^4 - 2940*x^3 + 1876*x^2 - 724*x + 133

Placing the root at 2:  449
109*x^8 - 981*x^7 + 3900*x^6 - 8964*x^5 + 13066*x^4 - 12418*x^3 + 7560*x^2 - 2720*x + 449

Placing the root at 7:  250
52*x^8 - 468*x^7 + 1864*x^6 - 4304*x^5 + 6328*x^4 - 6104*x^3 + 3808*x^2 - 1425*x + 250

Placing the root at 0:  60
8*x^8 - 72*x^7 + 288*x^6 - 672*x^5 + 1008*x^4 - 1008*x^3 + 671*x^2 - 282*x + 60

Placing the root at 1:  75
13*x^8 - 117*x^7 + 468*x^6 - 1090*x^5 + 1624*x^4 - 1596*x^3 + 1022*x^2 - 398*x + 75

Placing the root at 2:  264
62*x^8 - 558*x^7 + 2219*x^6 - 5104*x^5 + 7450*x^4 - 7098*x^3 + 4340*x^2 - 1574*x + 264

Placing the root at 5:  141
28*x^8 - 252*x^7 + 1004*x^6 - 2320*x^5 + 3416*x^4 - 3304*x^3 + 2072*x^2 - 784*x + 141

Placing the root at 0:  32
4*x^8 - 36*x^7 + 144*x^6 - 336*x^5 + 504*x^4 - 504*x^3 + 336*x^2 - 143*x + 32

Placing the root at 1:  42
7*x^8 - 63*x^7 + 252*x^6 - 587*x^5 + 875*x^4 - 861*x^3 + 553*x^2 - 217*x + 42

Placing the root at 2:  154
35*x^8 - 315*x^7 + 1253*x^6 - 2884*x^5 + 4215*x^4 - 4025*x^3 + 2471*x^2 - 903*x + 154

Placing the root at 3:  79
15*x^8 - 135*x^7 + 538*x^6 - 1244*x^5 + 1834*x^4 - 1778*x^3 + 1120*x^2 - 428*x + 79

Placing the root at 0:  17
2*x^8 - 18*x^7 + 72*x^6 - 168*x^5 + 252*x^4 - 252*x^3 + 168*x^2 - 72*x + 17

Placing the root at 1:  44
8*x^8 - 72*x^7 + 287*x^6 - 664*x^5 + 980*x^4 - 952*x^3 + 602*x^2 - 232*x + 44

Placing the root at 0:  9
x^8 - 9*x^7 + 36*x^6 - 84*x^5 + 126*x^4 - 126*x^3 + 84*x^2 - 36*x + 9

Placing the root at 1:  3024
-588*x^9 + 5880*x^8 - 26460*x^7 + 70490*x^6 - 122850*x^5 + 145709*x^4 - 118024*x^3 + 63190*x^2 - 20370*x + 3024

Placing the root at 2:  3333
-660*x^9 + 6600*x^8 - 29700*x^7 + 79116*x^6 - 137844*x^5 + 163366*x^4 - 132104*x^3 + 70510*x^2 - 22616*x + 3333

Placing the root at 3:  4147
-858*x^9 + 8580*x^8 - 38610*x^7 + 102828*x^6 - 178992*x^5 + 211638*x^4 - 170352*x^3 + 90220*x^2 - 28600*x + 4147

Placing the root at 4:  6292
-1430*x^9 + 14300*x^8 - 64350*x^7 + 171171*x^6 - 296868*x^5 + 348480*x^4 - 277200*x^3 + 144300*x^2 - 44694*x + 6292

Placing the root at 5:  16796
-4862*x^9 + 48620*x^8 - 217360*x^7 + 570570*x^6 - 969969*x^5 + 1108536*x^4 - 852720*x^3 + 426360*x^2 - 125970*x + 16796

Placing the root at 1:  1986
-378*x^9 + 3780*x^8 - 17010*x^7 + 45318*x^6 - 79002*x^5 + 93773*x^4 - 76084*x^3 + 40869*x^2 - 13251*x + 1986

Placing the root at 2:  2079
-396*x^9 + 3960*x^8 - 17820*x^7 + 47478*x^6 - 82782*x^5 + 98294*x^4 - 79786*x^3 + 42867*x^2 - 13893*x + 2079

Placing the root at 3:  2288
-429*x^9 + 4290*x^8 - 19305*x^7 + 51480*x^6 - 89958*x^5 + 107184*x^4 - 87360*x^3 + 47112*x^2 - 15301*x + 2288

Placing the root at 4:  7150
-1859*x^9 + 18590*x^8 - 83226*x^7 + 219219*x^6 - 374946*x^5 + 432564*x^4 - 337260*x^3 + 171756*x^2 - 51987*x + 7150

Placing the root at 0:  2044
-392*x^9 + 3920*x^8 - 17640*x^7 + 46995*x^6 - 81915*x^5 + 97197*x^4 - 78804*x^3 + 42274*x^2 - 13678*x + 2044

Placing the root at 6:  2295
-450*x^9 + 4500*x^8 - 20250*x^7 + 53944*x^6 - 93996*x^5 + 111430*x^4 - 90164*x^3 + 48189*x^2 - 15497*x + 2295

Placing the root at 7:  2893
-594*x^9 + 5940*x^8 - 26730*x^7 + 71190*x^6 - 123930*x^5 + 146566*x^4 - 118034*x^3 + 62577*x^2 - 19877*x + 2893

Placing the root at 8:  4433
-1001*x^9 + 10010*x^8 - 45045*x^7 + 119823*x^6 - 207834*x^5 + 244026*x^4 - 194208*x^3 + 101192*x^2 - 31395*x + 4433

Placing the root at 9:  11934
-3432*x^9 + 34320*x^8 - 153439*x^7 + 402831*x^6 - 684981*x^5 + 783156*x^4 - 602820*x^3 + 301716*x^2 - 89284*x + 11934

Placing the root at 1:  1342
-252*x^9 + 2520*x^8 - 11340*x^7 + 30213*x^6 - 52677*x^5 + 62550*x^4 - 50796*x^3 + 27336*x^2 - 8895*x + 1342

Placing the root at 2:  1431
-270*x^9 + 2700*x^8 - 12150*x^7 + 32372*x^6 - 56448*x^5 + 67041*x^4 - 54448*x^3 + 29289*x^2 - 9516*x + 1431

Placing the root at 3:  1595
-297*x^9 + 2970*x^8 - 13365*x^7 + 35640*x^6 - 62280*x^5 + 74214*x^4 - 60508*x^3 + 32658*x^2 - 10626*x + 1595

Placing the root at 4:  5027
-1298*x^9 + 12980*x^8 - 58113*x^7 + 153087*x^6 - 261888*x^5 + 302238*x^4 - 235788*x^3 + 120200*x^2 - 36444*x + 5027

Placing the root at 1:  1596
-294*x^9 + 2940*x^8 - 13230*x^7 + 35252*x^6 - 61488*x^5 + 73090*x^4 - 59482*x^3 + 32126*x^2 - 10509*x + 1596

Placing the root at 0:  1708
-322*x^9 + 3220*x^8 - 14490*x^7 + 38605*x^6 - 67305*x^5 + 79908*x^4 - 64872*x^3 + 34891*x^2 - 11342*x + 1708

Placing the root at 2:  1518
-264*x^9 + 2640*x^8 - 11880*x^7 + 31680*x^6 - 55398*x^5 + 66192*x^4 - 54320*x^3 + 29678*x^2 - 9845*x + 1518

Placing the root at 3:  2684
-561*x^9 + 5610*x^8 - 25245*x^7 + 67188*x^6 - 116754*x^5 + 137676*x^4 - 110460*x^3 + 58332*x^2 - 18469*x + 2684

Placing the root at 4:  7810
-2123*x^9 + 21230*x^8 - 94974*x^7 + 249711*x^6 - 425766*x^5 + 488928*x^4 - 378840*x^3 + 191424*x^2 - 57399*x + 7810

Placing the root at 5:  5071
-1254*x^9 + 12540*x^8 - 56166*x^7 + 148104*x^6 - 253836*x^5 + 293874*x^4 - 230412*x^3 + 118336*x^2 - 36256*x + 5071

Placing the root at 6:  1959
-380*x^9 + 3800*x^8 - 17100*x^7 + 45554*x^6 - 79386*x^5 + 94141*x^4 - 76232*x^3 + 40806*x^2 - 13161*x + 1959

Placing the root at 7:  2503
-510*x^9 + 5100*x^8 - 22950*x^7 + 61124*x^6 - 106416*x^5 + 125883*x^4 - 101432*x^3 + 53834*x^2 - 17135*x + 2503

Placing the root at 8:  3872
-869*x^9 + 8690*x^8 - 39105*x^7 + 104025*x^6 - 180450*x^5 + 211924*x^4 - 168742*x^3 + 88003*x^2 - 27347*x + 3872

Placing the root at 9:  10504
-3003*x^9 + 30030*x^8 - 134266*x^7 + 352539*x^6 - 599601*x^5 + 685800*x^4 - 528200*x^3 + 264614*x^2 - 78416*x + 10504

Placing the root at 1:  1078
-196*x^9 + 1960*x^8 - 8820*x^7 + 23502*x^6 - 40998*x^5 + 48750*x^4 - 39705*x^3 + 21481*x^2 - 7051*x + 1078

Placing the root at 2:  1044
-180*x^9 + 1800*x^8 - 8100*x^7 + 21600*x^6 - 37772*x^5 + 45136*x^4 - 37053*x^3 + 20263*x^2 - 6737*x + 1044

Placing the root at 3:  1865
-387*x^9 + 3870*x^8 - 17415*x^7 + 46350*x^6 - 80550*x^5 + 95004*x^4 - 76258*x^3 + 40308*x^2 - 12786*x + 1865

Placing the root at 4:  5477
-1478*x^9 + 14780*x^8 - 66123*x^7 + 173877*x^6 - 296538*x^5 + 340668*x^4 - 264138*x^3 + 133610*x^2 - 40134*x + 5477

Placing the root at 5:  3523
-864*x^9 + 8640*x^8 - 38700*x^7 + 102060*x^6 - 174960*x^5 + 202636*x^4 - 158984*x^3 + 81747*x^2 - 25097*x + 3523

Placing the root at 6:  1221
-228*x^9 + 2280*x^8 - 10260*x^7 + 27337*x^6 - 47673*x^5 + 56635*x^4 - 46027*x^3 + 24794*x^2 - 8078*x + 1221

Placing the root at 7:  1379
-255*x^9 + 2550*x^8 - 11475*x^7 + 30600*x^6 - 53474*x^5 + 63728*x^4 - 51977*x^3 + 28078*x^2 - 9153*x + 1379

Placing the root at 8:  4382
-1124*x^9 + 11240*x^8 - 50325*x^7 + 132585*x^6 - 226860*x^5 + 261904*x^4 - 204442*x^3 + 104323*x^2 - 31682*x + 4382

Placing the root at 0:  1121
-207*x^9 + 2070*x^8 - 9315*x^7 + 24819*x^6 - 43281*x^5 + 51421*x^4 - 41810*x^3 + 22556*x^2 - 7373*x + 1121

Placing the root at 1:  900
-161*x^9 + 1610*x^8 - 7245*x^7 + 19306*x^6 - 33684*x^5 + 40072*x^4 - 32673*x^3 + 17717*x^2 - 5841*x + 900

Placing the root at 2:  890
-152*x^9 + 1520*x^8 - 6840*x^7 + 18240*x^6 - 31897*x^5 + 38120*x^4 - 31306*x^3 + 17139*x^2 - 5713*x + 890

Placing the root at 3:  1607
-331*x^9 + 3310*x^8 - 14895*x^7 + 39644*x^6 - 68902*x^5 + 81284*x^4 - 65277*x^3 + 34538*x^2 - 10977*x + 1607

Placing the root at 4:  4762
-1276*x^9 + 12760*x^8 - 57089*x^7 + 150141*x^6 - 256120*x^5 + 294356*x^4 - 228382*x^3 + 115647*x^2 - 34798*x + 4762

Placing the root at 5:  3035
-738*x^9 + 7380*x^8 - 33058*x^7 + 87192*x^6 - 149508*x^5 + 173231*x^4 - 136012*x^3 + 70022*x^2 - 21543*x + 3035

Placing the root at 1:  1248
-210*x^9 + 2100*x^8 - 9450*x^7 + 25200*x^6 - 44072*x^5 + 52696*x^4 - 43340*x^3 + 23800*x^2 - 7971*x + 1248

Placing the root at 0:  1456
-266*x^9 + 2660*x^8 - 11970*x^7 + 31895*x^6 - 55635*x^5 + 66142*x^4 - 53850*x^3 + 29115*x^2 - 9546*x + 1456

Placing the root at 2:  1812
-348*x^9 + 3480*x^8 - 15660*x^7 + 41718*x^6 - 72702*x^5 + 86226*x^4 - 69860*x^3 + 37448*x^2 - 12113*x + 1812

Placing the root at 3:  2978
-645*x^9 + 6450*x^8 - 29025*x^7 + 77226*x^6 - 134058*x^5 + 157710*x^4 - 126000*x^3 + 66102*x^2 - 20737*x + 2978

Placing the root at 4:  8398
-2333*x^9 + 23330*x^8 - 104340*x^7 + 274155*x^6 - 466884*x^5 + 535128*x^4 - 413490*x^3 + 208140*x^2 - 62103*x + 8398

Placing the root at 5:  4299
-1038*x^9 + 10380*x^8 - 46500*x^7 + 122670*x^6 - 210420*x^5 + 243964*x^4 - 191744*x^3 + 98860*x^2 - 30470*x + 4299

Placing the root at 6:  1729
-330*x^9 + 3300*x^8 - 14850*x^7 + 39562*x^6 - 68958*x^5 + 81821*x^4 - 66340*x^3 + 35600*x^2 - 11533*x + 1729

Placing the root at 7:  2251
-454*x^9 + 4540*x^8 - 20430*x^7 + 54414*x^6 - 94746*x^5 + 112117*x^4 - 90410*x^3 + 48058*x^2 - 15339*x + 2251

Placing the root at 8:  3524
-785*x^9 + 7850*x^8 - 35325*x^7 + 93973*x^6 - 163034*x^5 + 191530*x^4 - 152600*x^3 + 79677*x^2 - 24809*x + 3524

Placing the root at 9:  9646
-2739*x^9 + 27390*x^8 - 122470*x^7 + 321615*x^6 - 547157*x^5 + 626104*x^4 - 482570*x^3 + 242020*x^2 - 71838*x + 9646

Placing the root at 1:  842
-140*x^9 + 1400*x^8 - 6300*x^7 + 16800*x^6 - 29382*x^5 + 35136*x^4 - 28911*x^3 + 15897*x^2 - 5341*x + 842

Placing the root at 2:  1240
-236*x^9 + 2360*x^8 - 10620*x^7 + 28292*x^6 - 49308*x^5 + 58492*x^4 - 47413*x^3 + 25443*x^2 - 8249*x + 1240

Placing the root at 3:  2061
-443*x^9 + 4430*x^8 - 19935*x^7 + 53042*x^6 - 92086*x^5 + 108360*x^4 - 86618*x^3 + 45488*x^2 - 14298*x + 2061

Placing the root at 4:  5869
-1618*x^9 + 16180*x^8 - 72367*x^7 + 190173*x^6 - 323950*x^5 + 371468*x^4 - 287238*x^3 + 144754*x^2 - 43270*x + 5869

Placing the root at 5:  2939
-702*x^9 + 7020*x^8 - 31450*x^7 + 82980*x^6 - 142380*x^5 + 165162*x^4 - 129924*x^3 + 67089*x^2 - 20733*x + 2939

Placing the root at 6:  1077
-198*x^9 + 1980*x^8 - 8910*x^7 + 23741*x^6 - 41409*x^5 + 49217*x^4 - 40043*x^3 + 21620*x^2 - 7074*x + 1077

Placing the root at 7:  1239
-227*x^9 + 2270*x^8 - 10215*x^7 + 27240*x^6 - 47604*x^5 + 56742*x^4 - 46303*x^3 + 25044*x^2 - 8185*x + 1239

Placing the root at 8:  3978
-1012*x^9 + 10120*x^8 - 45313*x^7 + 119397*x^6 - 204348*x^5 + 236022*x^4 - 184380*x^3 + 94205*x^2 - 28668*x + 3978

Placing the root at 0:  955
-171*x^9 + 1710*x^8 - 7695*x^7 + 20505*x^6 - 35775*x^5 + 42557*x^4 - 34696*x^3 + 18812*x^2 - 6201*x + 955

Placing the root at 1:  702
-115*x^9 + 1150*x^8 - 5175*x^7 + 13800*x^6 - 24136*x^5 + 28868*x^4 - 23769*x^3 + 13093*x^2 - 4417*x + 702

Placing the root at 0:  766
-133*x^9 + 1330*x^8 - 5985*x^7 + 15950*x^6 - 27840*x^5 + 33156*x^4 - 27099*x^3 + 14763*x^2 - 4907*x + 766

Placing the root at 2:  1051
-198*x^9 + 1980*x^8 - 8910*x^7 + 23737*x^6 - 41373*x^5 + 49091*x^4 - 39816*x^3 + 21394*x^2 - 6955*x + 1051

Placing the root at 3:  1768
-377*x^9 + 3770*x^8 - 16965*x^7 + 45141*x^6 - 78378*x^5 + 92255*x^4 - 73787*x^3 + 38793*x^2 - 12219*x + 1768

Placing the root at 4:  5084
-1391*x^9 + 13910*x^8 - 62218*x^7 + 163527*x^6 - 278637*x^5 + 319656*x^4 - 247357*x^3 + 124801*x^2 - 37374*x + 5084

Placing the root at 5:  2488
-587*x^9 + 5870*x^8 - 26300*x^7 + 69405*x^6 - 119130*x^5 + 138278*x^4 - 108892*x^3 + 56331*x^2 - 17462*x + 2488

Placing the root at 6:  784
-132*x^9 + 1320*x^8 - 5940*x^7 + 15840*x^6 - 27701*x^5 + 33112*x^4 - 27212*x^3 + 14925*x^2 - 4995*x + 784

Placing the root at 7:  1437
-293*x^9 + 2930*x^8 - 13185*x^7 + 35094*x^6 - 61002*x^5 + 71988*x^4 - 57853*x^3 + 30654*x^2 - 9769*x + 1437

Placing the root at 8:  4308
-1144*x^9 + 11440*x^8 - 51187*x^7 + 134643*x^6 - 229758*x^5 + 264204*x^4 - 205170*x^3 + 104039*x^2 - 31374*x + 4308

Placing the root at 9:  2713
-652*x^9 + 6520*x^8 - 29208*x^7 + 77052*x^6 - 132168*x^5 + 153235*x^4 - 120440*x^3 + 62116*x^2 - 19167*x + 2713

Placing the root at 1:  596
-95*x^9 + 950*x^8 - 4275*x^7 + 11400*x^6 - 19940*x^5 + 23860*x^4 - 19675*x^3 + 10879*x^2 - 3699*x + 596

Placing the root at 2:  917
-170*x^9 + 1700*x^8 - 7650*x^7 + 20381*x^6 - 35529*x^5 + 42175*x^4 - 34242*x^3 + 18440*x^2 - 6021*x + 917

Placing the root at 3:  1570
-331*x^9 + 3310*x^8 - 14895*x^7 + 39635*x^6 - 68830*x^5 + 81051*x^4 - 64883*x^3 + 34169*x^2 - 10795*x + 1570

Placing the root at 4:  4574
-1239*x^9 + 12390*x^8 - 55424*x^7 + 145701*x^6 - 248359*x^5 + 285104*x^4 - 220845*x^3 + 111601*x^2 - 33502*x + 4574

Placing the root at 5:  2166
-501*x^9 + 5010*x^8 - 22450*x^7 + 59265*x^6 - 101790*x^5 + 118282*x^4 - 93320*x^3 + 48425*x^2 - 15086*x + 2166

Placing the root at 1:  1514
-280*x^9 + 2800*x^8 - 12600*x^7 + 33572*x^6 - 58548*x^5 + 69566*x^4 - 56570*x^3 + 30520*x^2 - 9973*x + 1514

Placing the root at 2:  2036
-404*x^9 + 4040*x^8 - 18180*x^7 + 48424*x^6 - 84336*x^5 + 99862*x^4 - 80640*x^3 + 42978*x^2 - 13779*x + 2036

Placing the root at 3:  3244
-715*x^9 + 7150*x^8 - 32175*x^7 + 85598*x^6 - 148534*x^5 + 174580*x^4 - 139230*x^3 + 72822*x^2 - 22739*x + 3244

Placing the root at 4:  8986
-2529*x^9 + 25290*x^8 - 113090*x^7 + 297045*x^6 - 505552*x^5 + 578864*x^4 - 446600*x^3 + 224310*x^2 - 66723*x + 8986

Placing the root at 0:  1176
-196*x^9 + 1960*x^8 - 8820*x^7 + 23520*x^6 - 41135*x^5 + 49192*x^4 - 40480*x^3 + 22260*x^2 - 7476*x + 1176

Placing the root at 9:  4088
-980*x^9 + 9800*x^8 - 43904*x^7 + 115836*x^6 - 198744*x^5 + 230521*x^4 - 181304*x^3 + 93584*x^2 - 28896*x + 4088

Placing the root at 1:  1257
-240*x^9 + 2400*x^8 - 10800*x^7 + 28772*x^6 - 50148*x^5 + 59494*x^4 - 48224*x^3 + 25868*x^2 - 8378*x + 1257

Placing the root at 2:  1639
-330*x^9 + 3300*x^8 - 14850*x^7 + 39552*x^6 - 68868*x^5 + 81494*x^4 - 65716*x^3 + 34934*x^2 - 11154*x + 1639

Placing the root at 3:  2574
-572*x^9 + 5720*x^8 - 25740*x^7 + 68475*x^6 - 118800*x^5 + 139572*x^4 - 111216*x^3 + 58084*x^2 - 18096*x + 2574

Placing the root at 4:  7072
-2002*x^9 + 20020*x^8 - 89518*x^7 + 235092*x^6 - 399993*x^5 + 457776*x^4 - 352920*x^3 + 177072*x^2 - 52598*x + 7072

Placing the root at 5:  948
-168*x^9 + 1680*x^8 - 7560*x^7 + 20146*x^6 - 35154*x^5 + 41837*x^4 - 34144*x^3 + 18548*x^2 - 6132*x + 948

Placing the root at 6:  825
-132*x^9 + 1320*x^8 - 5940*x^7 + 15840*x^6 - 27720*x^5 + 33222*x^4 - 27468*x^3 + 15224*x^2 - 5170*x + 825

Placing the root at 7:  2948
-693*x^9 + 6930*x^8 - 31053*x^7 + 81972*x^6 - 140778*x^5 + 163548*x^4 - 128940*x^3 + 66780*x^2 - 20713*x + 2948

Placing the root at 0:  1064
-196*x^9 + 1960*x^8 - 8820*x^7 + 23500*x^6 - 40980*x^5 + 48685*x^4 - 39584*x^3 + 21358*x^2 - 6986*x + 1064

Placing the root at 1:  1142
-215*x^9 + 2150*x^8 - 9675*x^7 + 25776*x^6 - 44934*x^5 + 53334*x^4 - 43278*x^3 + 23265*x^2 - 7564*x + 1142

Placing the root at 2:  1513
-302*x^9 + 3020*x^8 - 13590*x^7 + 36197*x^6 - 63033*x^5 + 74611*x^4 - 60205*x^3 + 32046*x^2 - 10256*x + 1513

Placing the root at 3:  2400
-530*x^9 + 5300*x^8 - 23850*x^7 + 63449*x^6 - 110092*x^5 + 129375*x^4 - 103145*x^3 + 53921*x^2 - 16827*x + 2400

Placing the root at 4:  6643
-1870*x^9 + 18700*x^8 - 83620*x^7 + 219630*x^6 - 373771*x^5 + 427928*x^4 - 330105*x^3 + 165775*x^2 - 49309*x + 6643

Placing the root at 5:  774
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26446*x^5 + 31640*x^4 - 26073*x^3 + 14385*x^2 - 4863*x + 774

Placing the root at 6:  993
-174*x^9 + 1740*x^8 - 7830*x^7 + 20880*x^6 - 36498*x^5 + 43554*x^4 - 35658*x^3 + 19424*x^2 - 6430*x + 993

Placing the root at 7:  3326
-819*x^9 + 8190*x^8 - 36681*x^7 + 96714*x^6 - 165726*x^5 + 191814*x^4 - 150360*x^3 + 77238*x^2 - 23695*x + 3326

Placing the root at 0:  938
-168*x^9 + 1680*x^8 - 7560*x^7 + 20145*x^6 - 35145*x^5 + 41802*x^4 - 34073*x^3 + 18470*x^2 - 6088*x + 938

Placing the root at 9:  2751
-648*x^9 + 6480*x^8 - 29034*x^7 + 76626*x^6 - 131544*x^5 + 152726*x^4 - 120316*x^3 + 62271*x^2 - 19311*x + 2751

Placing the root at 1:  1013
-185*x^9 + 1850*x^8 - 8325*x^7 + 22182*x^6 - 38688*x^5 + 45981*x^4 - 37416*x^3 + 20217*x^2 - 6628*x + 1013

Placing the root at 2:  1384
-272*x^9 + 2720*x^8 - 12240*x^7 + 32603*x^6 - 56787*x^5 + 67258*x^4 - 54343*x^3 + 28998*x^2 - 9320*x + 1384

Placing the root at 3:  2232
-488*x^9 + 4880*x^8 - 21960*x^7 + 58424*x^6 - 101392*x^5 + 119205*x^4 - 95123*x^3 + 49808*x^2 - 15585*x + 2232

Placing the root at 4:  6247
-1744*x^9 + 17440*x^8 - 77992*x^7 + 204888*x^6 - 348808*x^5 + 399584*x^4 - 308523*x^3 + 155149*x^2 - 46240*x + 6247

Placing the root at 5:  942
-168*x^9 + 1680*x^8 - 7560*x^7 + 20146*x^6 - 35154*x^5 + 41832*x^4 - 34123*x^3 + 18515*x^2 - 6109*x + 942

Placing the root at 6:  1119
-202*x^9 + 2020*x^8 - 9090*x^7 + 24240*x^6 - 42364*x^5 + 50512*x^4 - 41258*x^3 + 22364*x^2 - 7340*x + 1119

Placing the root at 7:  3648
-917*x^9 + 9170*x^8 - 41063*x^7 + 108222*x^6 - 185298*x^5 + 214172*x^4 - 167510*x^3 + 85750*x^2 - 26173*x + 3648

Placing the root at 0:  770
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26445*x^5 + 31632*x^4 - 26051*x^3 + 14357*x^2 - 4846*x + 770

Placing the root at 9:  2728
-644*x^9 + 6440*x^8 - 28854*x^7 + 76146*x^6 - 130704*x^5 + 151719*x^4 - 119484*x^3 + 61813*x^2 - 19159*x + 2728

Placing the root at 1:  1508
-285*x^9 + 2850*x^8 - 12825*x^7 + 34168*x^6 - 59562*x^5 + 70692*x^4 - 57354*x^3 + 30820*x^2 - 10011*x + 1508

Placing the root at 2:  1987
-398*x^9 + 3980*x^8 - 17910*x^7 + 47703*x^6 - 83067*x^5 + 98317*x^4 - 79319*x^3 + 42203*x^2 - 13495*x + 1987

Placing the root at 3:  3137
-695*x^9 + 6950*x^8 - 31275*x^7 + 83201*x^6 - 144358*x^5 + 169625*x^4 - 135205*x^3 + 70651*x^2 - 22030*x + 3137

Placing the root at 4:  8645
-2442*x^9 + 24420*x^8 - 109195*x^7 + 286785*x^6 - 487999*x^5 + 558596*x^4 - 430765*x^3 + 216215*x^2 - 64259*x + 8645

Placing the root at 5:  1032
-168*x^9 + 1680*x^8 - 7560*x^7 + 20160*x^6 - 35266*x^5 + 42210*x^4 - 34809*x^3 + 19220*x^2 - 6498*x + 1032

Placing the root at 6:  1938
-390*x^9 + 3900*x^8 - 17550*x^7 + 46716*x^6 - 81228*x^5 + 95928*x^4 - 77210*x^3 + 41018*x^2 - 13121*x + 1938

Placing the root at 7:  5869
-1548*x^9 + 15480*x^8 - 69270*x^7 + 182250*x^6 - 311124*x^5 + 358008*x^4 - 278292*x^3 + 141310*x^2 - 42682*x + 5869

Placing the root at 0:  1246
-224*x^9 + 2240*x^8 - 10080*x^7 + 26860*x^6 - 46860*x^5 + 55736*x^4 - 45429*x^3 + 24620*x^2 - 8108*x + 1246

Placing the root at 1:  921
-170*x^9 + 1700*x^8 - 7650*x^7 + 20382*x^6 - 35538*x^5 + 42205*x^4 - 34292*x^3 + 18485*x^2 - 6042*x + 921

Placing the root at 2:  1249
-246*x^9 + 2460*x^8 - 11070*x^7 + 29486*x^6 - 51354*x^5 + 60811*x^4 - 49114*x^3 + 26191*x^2 - 8412*x + 1249

Placing the root at 3:  2013
-440*x^9 + 4400*x^8 - 19800*x^7 + 52677*x^6 - 91416*x^5 + 107470*x^4 - 85750*x^3 + 44895*x^2 - 14048*x + 2013

Placing the root at 4:  5642
-1573*x^9 + 15730*x^8 - 70345*x^7 + 184800*x^6 - 314613*x^5 + 360420*x^4 - 278300*x^3 + 139970*x^2 - 41730*x + 5642

Placing the root at 5:  558
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17640*x^5 + 21154*x^4 - 17542*x^3 + 9805*x^2 - 3390*x + 558

Placing the root at 6:  1119
-216*x^9 + 2160*x^8 - 9720*x^7 + 25878*x^6 - 45024*x^5 + 53256*x^4 - 43008*x^3 + 22994*x^2 - 7438*x + 1119

Placing the root at 7:  3536
-903*x^9 + 9030*x^8 - 40419*x^7 + 106416*x^6 - 181896*x^5 + 209748*x^4 - 163590*x^3 + 83496*x^2 - 25417*x + 3536

Placing the root at 8:  2106
-474*x^9 + 4740*x^8 - 21246*x^7 + 56124*x^6 - 96516*x^5 + 112392*x^4 - 88970*x^3 + 46394*x^2 - 14549*x + 2106

Placing the root at 0:  728
-126*x^9 + 1260*x^8 - 5670*x^7 + 15110*x^6 - 26370*x^5 + 31396*x^4 - 25652*x^3 + 13975*x^2 - 4650*x + 728

Placing the root at 1:  835
-150*x^9 + 1500*x^8 - 6750*x^7 + 17986*x^6 - 31374*x^5 + 37303*x^4 - 30384*x^3 + 16453*x^2 - 5418*x + 835

Placing the root at 0:  616
-98*x^9 + 980*x^8 - 4410*x^7 + 11760*x^6 - 20570*x^5 + 24616*x^4 - 20304*x^3 + 11233*x^2 - 3822*x + 616

Placing the root at 2:  1163
-226*x^9 + 2260*x^8 - 10170*x^7 + 27090*x^6 - 47190*x^5 + 55909*x^4 - 45206*x^3 + 24159*x^2 - 7788*x + 1163

Placing the root at 3:  1901
-412*x^9 + 4120*x^8 - 18540*x^7 + 49327*x^6 - 85616*x^5 + 100690*x^4 - 80402*x^3 + 42153*x^2 - 13220*x + 1901

Placing the root at 4:  5378
-1489*x^9 + 14890*x^8 - 66593*x^7 + 174972*x^6 - 297971*x^5 + 341524*x^4 - 263912*x^3 + 132886*x^2 - 39684*x + 5378

Placing the root at 5:  684
-112*x^9 + 1120*x^8 - 5040*x^7 + 13440*x^6 - 23506*x^5 + 28112*x^4 - 23142*x^3 + 12745*x^2 - 4300*x + 684

Placing the root at 6:  1287
-258*x^9 + 2580*x^8 - 11610*x^7 + 30904*x^6 - 53732*x^5 + 63448*x^4 - 51058*x^3 + 27124*x^2 - 8684*x + 1287

Placing the root at 7:  3928
-1029*x^9 + 10290*x^8 - 46047*x^7 + 121158*x^6 - 206858*x^5 + 238084*x^4 - 185150*x^3 + 94094*x^2 - 28469*x + 3928

Placing the root at 8:  2428
-572*x^9 + 5720*x^8 - 25628*x^7 + 67632*x^6 - 116088*x^5 + 134750*x^4 - 106120*x^3 + 54906*x^2 - 17027*x + 2428

Placing the root at 9:  2240
-518*x^9 + 5180*x^8 - 23212*x^7 + 61278*x^6 - 105252*x^5 + 122314*x^4 - 96512*x^3 + 50088*x^2 - 15605*x + 2240

Placing the root at 1:  1192
-215*x^9 + 2150*x^8 - 9675*x^7 + 25780*x^6 - 44970*x^5 + 53470*x^4 - 43554*x^3 + 23582*x^2 - 7759*x + 1192

Placing the root at 0:  882
-140*x^9 + 1400*x^8 - 6300*x^7 + 16800*x^6 - 29390*x^5 + 35190*x^4 - 29059*x^3 + 16102*x^2 - 5484*x + 882

Placing the root at 2:  1649
-322*x^9 + 3220*x^8 - 14490*x^7 + 38597*x^6 - 67233*x^5 + 79649*x^4 - 64389*x^3 + 34395*x^2 - 11075*x + 1649

Placing the root at 3:  2677
-583*x^9 + 5830*x^8 - 26235*x^7 + 69799*x^6 - 121142*x^5 + 142451*x^4 - 113715*x^3 + 59583*x^2 - 18664*x + 2677

Placing the root at 4:  7523
-2094*x^9 + 20940*x^8 - 93647*x^7 + 246033*x^6 - 418913*x^5 + 480004*x^4 - 370747*x^3 + 186537*x^2 - 55635*x + 7523

Placing the root at 5:  1354
-252*x^9 + 2520*x^8 - 11340*x^7 + 30212*x^6 - 52668*x^5 + 62524*x^4 - 50769*x^3 + 27340*x^2 - 8920*x + 1354

Placing the root at 6:  2302
-488*x^9 + 4880*x^8 - 21960*x^7 + 58434*x^6 - 101472*x^5 + 119476*x^4 - 95620*x^3 + 50328*x^2 - 15879*x + 2302

Placing the root at 7:  6653
-1814*x^9 + 18140*x^8 - 81142*x^7 + 213288*x^6 - 363498*x^5 + 417144*x^4 - 322952*x^3 + 163052*x^2 - 48870*x + 6653

Placing the root at 8:  1696
-336*x^9 + 3360*x^8 - 15120*x^7 + 40250*x^6 - 70000*x^5 + 82712*x^4 - 66650*x^3 + 35490*x^2 - 11401*x + 1696

Placing the root at 9:  5223
-1360*x^9 + 13600*x^8 - 60864*x^7 + 160176*x^6 - 273574*x^5 + 315056*x^4 - 245224*x^3 + 124774*x^2 - 37806*x + 5223

Placing the root at 1:  691
-120*x^9 + 1200*x^8 - 5400*x^7 + 14390*x^6 - 25110*x^5 + 29885*x^4 - 24400*x^3 + 13279*x^2 - 4414*x + 691

Placing the root at 2:  997
-190*x^9 + 1900*x^8 - 8550*x^7 + 22776*x^6 - 39684*x^5 + 47045*x^4 - 38092*x^3 + 20415*x^2 - 6616*x + 997

Placing the root at 3:  1665
-356*x^9 + 3560*x^8 - 16020*x^7 + 42625*x^6 - 74000*x^5 + 87076*x^4 - 69608*x^3 + 36569*x^2 - 11510*x + 1665

Placing the root at 4:  4784
-1309*x^9 + 13090*x^8 - 58549*x^7 + 153876*x^6 - 262169*x^5 + 300724*x^4 - 232670*x^3 + 117376*x^2 - 35152*x + 4784

Placing the root at 5:  782
-140*x^9 + 1400*x^8 - 6300*x^7 + 16786*x^6 - 29274*x^5 + 34790*x^4 - 28322*x^3 + 15335*x^2 - 5056*x + 782

Placing the root at 6:  1385
-286*x^9 + 2860*x^8 - 12870*x^7 + 34250*x^6 - 59500*x^5 + 70126*x^4 - 56238*x^3 + 29714*x^2 - 9440*x + 1385

Placing the root at 7:  4124
-1099*x^9 + 10990*x^8 - 49169*x^7 + 129306*x^6 - 220564*x^5 + 253484*x^4 - 196700*x^3 + 99666*x^2 - 30037*x + 4124

Placing the root at 8:  1836
-406*x^9 + 4060*x^8 - 18200*x^7 + 48090*x^6 - 82740*x^5 + 96432*x^4 - 76450*x^3 + 39970*x^2 - 12591*x + 1836

Placing the root at 0:  476
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14700*x^5 + 17630*x^4 - 14630*x^3 + 8199*x^2 - 2854*x + 476

Placing the root at 1:  420
-70*x^9 + 700*x^8 - 3150*x^7 + 8395*x^6 - 14655*x^5 + 17462*x^4 - 14296*x^3 + 7825*x^2 - 2630*x + 420

Placing the root at 2:  300
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8820*x^5 + 10584*x^4 - 8806*x^3 + 4970*x^2 - 1755*x + 300

Placing the root at 3:  1203
-258*x^9 + 2580*x^8 - 11568*x^7 + 30582*x^6 - 52668*x^5 + 61488*x^4 - 48888*x^3 + 25682*x^2 - 8152*x + 1203

Placing the root at 0:  555
-100*x^9 + 1000*x^8 - 4500*x^7 + 11990*x^6 - 20910*x^5 + 24847*x^4 - 20216*x^3 + 10930*x^2 - 3595*x + 555

Placing the root at 7:  775
-150*x^9 + 1500*x^8 - 6750*x^7 + 17980*x^6 - 31320*x^5 + 37105*x^4 - 30000*x^3 + 16034*x^2 - 5173*x + 775

Placing the root at 8:  1276
-275*x^9 + 2750*x^8 - 12375*x^7 + 32925*x^6 - 57150*x^5 + 67220*x^4 - 53690*x^3 + 28165*x^2 - 8845*x + 1276

Placing the root at 9:  3640
-1001*x^9 + 10010*x^8 - 44770*x^7 + 117645*x^6 - 200385*x^5 + 229752*x^4 - 177640*x^3 + 89530*x^2 - 26780*x + 3640

Placing the root at 1:  364
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11755*x^5 + 14072*x^4 - 11622*x^3 + 6454*x^2 - 2216*x + 364

Placing the root at 2:  370
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14098*x^4 - 11676*x^3 + 6510*x^2 - 2245*x + 370

Placing the root at 3:  1399
-314*x^9 + 3140*x^8 - 14074*x^7 + 37176*x^6 - 63924*x^5 + 74424*x^4 - 58898*x^3 + 30708*x^2 - 9636*x + 1399

Placing the root at 0:  512
-90*x^9 + 900*x^8 - 4050*x^7 + 10792*x^6 - 18828*x^5 + 22396*x^4 - 18262*x^3 + 9914*x^2 - 3283*x + 512

Placing the root at 6:  1368
-308*x^9 + 3080*x^8 - 13804*x^7 + 36456*x^6 - 62664*x^5 + 72917*x^4 - 57664*x^3 + 30042*x^2 - 9422*x + 1368

Placing the root at 7:  732
-140*x^9 + 1400*x^8 - 6300*x^7 + 16782*x^6 - 29238*x^5 + 34654*x^4 - 28046*x^3 + 15018*x^2 - 4861*x + 732

Placing the root at 8:  1220
-261*x^9 + 2610*x^8 - 11745*x^7 + 31250*x^6 - 54250*x^5 + 63830*x^4 - 51016*x^3 + 26794*x^2 - 8431*x + 1220

Placing the root at 9:  3508
-959*x^9 + 9590*x^8 - 42894*x^7 + 112731*x^6 - 192064*x^5 + 220304*x^4 - 170446*x^3 + 85988*x^2 - 25757*x + 3508

Placing the root at 1:  640
-112*x^9 + 1120*x^8 - 5040*x^7 + 13431*x^6 - 23439*x^5 + 27903*x^4 - 22788*x^3 + 12398*x^2 - 4112*x + 640

Placing the root at 2:  567
-90*x^9 + 900*x^8 - 4050*x^7 + 10800*x^6 - 18900*x^5 + 22652*x^4 - 18732*x^3 + 10389*x^2 - 3535*x + 567

Placing the root at 3:  2045
-477*x^9 + 4770*x^8 - 21375*x^7 + 56430*x^6 - 96930*x^5 + 112644*x^4 - 88858*x^3 + 46068*x^2 - 14316*x + 2045

Placing the root at 6:  783
-144*x^9 + 1440*x^8 - 6480*x^7 + 17266*x^6 - 30114*x^5 + 35788*x^4 - 29110*x^3 + 15711*x^2 - 5139*x + 783

Placing the root at 7:  902
-165*x^9 + 1650*x^8 - 7425*x^7 + 19800*x^6 - 34602*x^5 + 41244*x^4 - 33656*x^3 + 18204*x^2 - 5951*x + 902

Placing the root at 8:  2904
-737*x^9 + 7370*x^8 - 33000*x^7 + 86955*x^6 - 148830*x^5 + 171912*x^4 - 134316*x^3 + 68644*x^2 - 20901*x + 2904

Placing the root at 0:  698
-126*x^9 + 1260*x^8 - 5670*x^7 + 15108*x^6 - 26352*x^5 + 31327*x^4 - 25508*x^3 + 13803*x^2 - 4539*x + 698

Placing the root at 1:  534
-92*x^9 + 920*x^8 - 4140*x^7 + 11033*x^6 - 19257*x^5 + 22934*x^4 - 18748*x^3 + 10221*x^2 - 3404*x + 534

Placing the root at 2:  483
-76*x^9 + 760*x^8 - 3420*x^7 + 9120*x^6 - 15960*x^5 + 19129*x^4 - 15822*x^3 + 8782*x^2 - 2995*x + 483

Placing the root at 3:  1759
-407*x^9 + 4070*x^8 - 18239*x^7 + 48156*x^6 - 82734*x^5 + 96180*x^4 - 75917*x^3 + 39402*x^2 - 12269*x + 1759

Placing the root at 0:  560
-98*x^9 + 980*x^8 - 4410*x^7 + 11752*x^6 - 20508*x^5 + 24410*x^4 - 19928*x^3 + 10836*x^2 - 3593*x + 560

Placing the root at 6:  570
-96*x^9 + 960*x^8 - 4320*x^7 + 11520*x^6 - 20146*x^5 + 24080*x^4 - 19786*x^3 + 10848*x^2 - 3629*x + 570

Placing the root at 7:  1046
-213*x^9 + 2130*x^8 - 9585*x^7 + 25512*x^6 - 44346*x^5 + 52332*x^4 - 42056*x^3 + 22284*x^2 - 7103*x + 1046

Placing the root at 8:  3144
-833*x^9 + 8330*x^8 - 37272*x^7 + 98043*x^6 - 167310*x^5 + 192408*x^4 - 149436*x^3 + 75796*x^2 - 22869*x + 3144

Placing the root at 9:  1975
-474*x^9 + 4740*x^8 - 21234*x^7 + 56016*x^6 - 96084*x^5 + 111398*x^4 - 87556*x^3 + 45158*x^2 - 13938*x + 1975

Placing the root at 1:  454
-76*x^9 + 760*x^8 - 3420*x^7 + 9115*x^6 - 15915*x^5 + 18972*x^4 - 15542*x^3 + 8509*x^2 - 2856*x + 454

Placing the root at 2:  425
-66*x^9 + 660*x^8 - 2970*x^7 + 7920*x^6 - 13860*x^5 + 16613*x^4 - 13746*x^3 + 7640*x^2 - 2615*x + 425

Placing the root at 3:  1569
-359*x^9 + 3590*x^8 - 16089*x^7 + 42486*x^6 - 73014*x^5 + 84924*x^4 - 67093*x^3 + 34878*x^2 - 10891*x + 1569

Placing the root at 0:  436
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14692*x^5 + 17576*x^4 - 14482*x^3 + 7994*x^2 - 2711*x + 436

Placing the root at 6:  668
-124*x^9 + 1240*x^8 - 5580*x^7 + 14866*x^6 - 25914*x^5 + 30758*x^4 - 24966*x^3 + 13438*x^2 - 4385*x + 668

Placing the root at 7:  1144
-241*x^9 + 2410*x^8 - 10845*x^7 + 28858*x^6 - 50114*x^5 + 59010*x^4 - 47236*x^3 + 24874*x^2 - 7859*x + 1144

Placing the root at 8:  3340
-903*x^9 + 9030*x^8 - 40394*x^7 + 106191*x^6 - 181016*x^5 + 207808*x^4 - 160986*x^3 + 81368*x^2 - 24437*x + 3340

Placing the root at 9:  1579
-366*x^9 + 3660*x^8 - 16400*x^7 + 43290*x^6 - 74340*x^5 + 86360*x^4 - 68104*x^3 + 35318*x^2 - 10996*x + 1579

Placing the root at 1:  332
-56*x^9 + 560*x^8 - 2520*x^7 + 6716*x^6 - 11724*x^5 + 13969*x^4 - 11432*x^3 + 6248*x^2 - 2092*x + 332

Placing the root at 2:  309
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10080*x^5 + 12082*x^4 - 9996*x^3 + 5554*x^2 - 1900*x + 309

Placing the root at 3:  1142
-261*x^9 + 2610*x^8 - 11697*x^7 + 30888*x^6 - 53082*x^5 + 61740*x^4 - 48776*x^3 + 25356*x^2 - 7919*x + 1142

Placing the root at 1:  546
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17635*x^5 + 21123*x^4 - 17467*x^3 + 9716*x^2 - 3338*x + 546

Placing the root at 2:  740
-126*x^9 + 1260*x^8 - 5670*x^7 + 15120*x^6 - 26432*x^5 + 31556*x^4 - 25872*x^3 + 14145*x^2 - 4720*x + 740

Placing the root at 3:  2554
-614*x^9 + 6140*x^8 - 27504*x^7 + 72546*x^6 - 124404*x^5 + 144172*x^4 - 113260*x^3 + 58392*x^2 - 18021*x + 2554

Placing the root at 0:  763
-135*x^9 + 1350*x^8 - 6075*x^7 + 16188*x^6 - 28242*x^5 + 33594*x^4 - 27392*x^3 + 14866*x^2 - 4916*x + 763

Placing the root at 5:  1082
-210*x^9 + 2100*x^8 - 9450*x^7 + 25158*x^6 - 43764*x^5 + 51744*x^4 - 41753*x^3 + 22295*x^2 - 7201*x + 1082

Placing the root at 6:  3409
-872*x^9 + 8720*x^8 - 39030*x^7 + 102750*x^6 - 175602*x^5 + 202440*x^4 - 157836*x^3 + 80527*x^2 - 24505*x + 3409

Placing the root at 7:  1080
-208*x^9 + 2080*x^8 - 9360*x^7 + 24933*x^6 - 43437*x^5 + 51477*x^4 - 41649*x^3 + 22287*x^2 - 7202*x + 1080

Placing the root at 8:  1783
-384*x^9 + 3840*x^8 - 17280*x^7 + 45976*x^6 - 79808*x^5 + 93883*x^4 - 75005*x^3 + 39361*x^2 - 12365*x + 1783

Placing the root at 9:  5081
-1399*x^9 + 13990*x^8 - 62571*x^7 + 164424*x^6 - 280070*x^5 + 321124*x^4 - 248291*x^3 + 125131*x^2 - 37418*x + 5081

Placing the root at 1:  294
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8820*x^5 + 10579*x^4 - 8785*x^3 + 4937*x^2 - 1732*x + 294

Placing the root at 2:  426
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14686*x^5 + 17542*x^4 - 14406*x^3 + 7910*x^2 - 2665*x + 426

Placing the root at 3:  1525
-356*x^9 + 3560*x^8 - 15950*x^7 + 42090*x^6 - 72240*x^5 + 83846*x^4 - 66038*x^3 + 34194*x^2 - 10630*x + 1525

Placing the root at 5:  1166
-252*x^9 + 2520*x^8 - 11298*x^7 + 29862*x^6 - 51408*x^5 + 59976*x^4 - 47633*x^3 + 24983*x^2 - 7915*x + 1166

Placing the root at 0:  440
-75*x^9 + 750*x^8 - 3375*x^7 + 8994*x^6 - 15696*x^5 + 18687*x^4 - 15270*x^3 + 8327*x^2 - 2781*x + 440

Placing the root at 7:  649
-122*x^9 + 1220*x^8 - 5490*x^7 + 14625*x^6 - 25485*x^5 + 30222*x^4 - 24489*x^3 + 13146*x^2 - 4275*x + 649

Placing the root at 8:  1102
-233*x^9 + 2330*x^8 - 10485*x^7 + 27899*x^6 - 48442*x^5 + 57023*x^4 - 45619*x^3 + 24002*x^2 - 7576*x + 1102

Placing the root at 9:  3211
-869*x^9 + 8690*x^8 - 38872*x^7 + 102183*x^6 - 174163*x^5 + 199904*x^4 - 154825*x^3 + 78233*x^2 - 23491*x + 3211

Placing the root at 1:  522
-84*x^9 + 840*x^8 - 3780*x^7 + 10080*x^6 - 17631*x^5 + 21096*x^4 - 17391*x^3 + 9606*x^2 - 3257*x + 522

Placing the root at 2:  679
-118*x^9 + 1180*x^8 - 5310*x^7 + 14160*x^6 - 24752*x^5 + 29540*x^4 - 24192*x^3 + 13189*x^2 - 4375*x + 679

Placing the root at 3:  2297
-561*x^9 + 5610*x^8 - 25127*x^7 + 66258*x^6 - 113562*x^5 + 131488*x^4 - 103138*x^3 + 53040*x^2 - 16304*x + 2297

Placing the root at 5:  1879
-438*x^9 + 4380*x^8 - 19626*x^7 + 51804*x^6 - 88956*x^5 + 103329*x^4 - 81468*x^3 + 42225*x^2 - 13128*x + 1879

Placing the root at 6:  711
-129*x^9 + 1290*x^8 - 5805*x^7 + 15468*x^6 - 26982*x^5 + 32079*x^4 - 26118*x^3 + 14124*x^2 - 4637*x + 711

Placing the root at 7:  832
-151*x^9 + 1510*x^8 - 6795*x^7 + 18120*x^6 - 31667*x^5 + 37751*x^4 - 30819*x^3 + 16687*x^2 - 5467*x + 832

Placing the root at 8:  2702
-681*x^9 + 6810*x^8 - 30494*x^7 + 80361*x^6 - 137574*x^5 + 158971*x^4 - 124285*x^3 + 63585*x^2 - 19394*x + 2702

Placing the root at 0:  615
-108*x^9 + 1080*x^8 - 4860*x^7 + 12951*x^6 - 22599*x^5 + 26895*x^4 - 21951*x^3 + 11931*x^2 - 3953*x + 615

Placing the root at 1:  435
-69*x^9 + 690*x^8 - 3105*x^7 + 8280*x^6 - 14483*x^5 + 17332*x^4 - 14296*x^3 + 7909*x^2 - 2692*x + 435

Placing the root at 2:  575
-99*x^9 + 990*x^8 - 4455*x^7 + 11880*x^6 - 20767*x^5 + 24787*x^4 - 20307*x^3 + 11082*x^2 - 3685*x + 575

Placing the root at 3:  1966
-476*x^9 + 4760*x^8 - 21321*x^7 + 56229*x^6 - 96396*x^5 + 111659*x^4 - 87647*x^3 + 45129*x^2 - 13902*x + 1966

Placing the root at 0:  493
-84*x^9 + 840*x^8 - 3780*x^7 + 10074*x^6 - 17586*x^5 + 20952*x^4 - 17141*x^3 + 9359*x^2 - 3126*x + 493

Placing the root at 5:  1589
-366*x^9 + 3660*x^8 - 16401*x^7 + 43299*x^6 - 74376*x^5 + 86443*x^4 - 68222*x^3 + 35420*x^2 - 11045*x + 1589

Placing the root at 6:  517
-86*x^9 + 860*x^8 - 3870*x^7 + 10320*x^6 - 18048*x^5 + 21576*x^4 - 17739*x^3 + 9741*x^2 - 3270*x + 517

Placing the root at 7:  961
-194*x^9 + 1940*x^8 - 8730*x^7 + 23237*x^6 - 40396*x^5 + 47684*x^4 - 38344*x^3 + 20342*x^2 - 6499*x + 961

Placing the root at 8:  2917
-767*x^9 + 7670*x^8 - 34321*x^7 + 90294*x^6 - 154129*x^5 + 177332*x^4 - 137830*x^3 + 69992*x^2 - 21157*x + 2917

Placing the root at 9:  1814
-431*x^9 + 4310*x^8 - 19309*x^7 + 50946*x^6 - 87414*x^5 + 101400*x^4 - 79770*x^3 + 41205*x^2 - 12750*x + 1814

Placing the root at 1:  369
-57*x^9 + 570*x^8 - 2565*x^7 + 6840*x^6 - 11965*x^5 + 14324*x^4 - 11830*x^3 + 6567*x^2 - 2252*x + 369

Placing the root at 2:  501
-85*x^9 + 850*x^8 - 3825*x^7 + 10200*x^6 - 17831*x^5 + 21287*x^4 - 17451*x^3 + 9540*x^2 - 3185*x + 501

Placing the root at 3:  1740
-416*x^9 + 4160*x^8 - 18635*x^7 + 49155*x^6 - 84300*x^5 + 97711*x^4 - 76783*x^3 + 39609*x^2 - 12240*x + 1740

Placing the root at 0:  383
-60*x^9 + 600*x^8 - 2700*x^7 + 7200*x^6 - 12594*x^5 + 15072*x^4 - 12435*x^3 + 6887*x^2 - 2352*x + 383

Placing the root at 5:  1381
-312*x^9 + 3120*x^8 - 13983*x^7 + 36927*x^6 - 63468*x^5 + 73841*x^4 - 58378*x^3 + 30398*x^2 - 9525*x + 1381

Placing the root at 6:  601
-110*x^9 + 1100*x^8 - 4950*x^7 + 13188*x^6 - 22992*x^5 + 27300*x^4 - 22179*x^3 + 11961*x^2 - 3918*x + 601

Placing the root at 7:  1045
-218*x^9 + 2180*x^8 - 9810*x^7 + 26105*x^6 - 45340*x^5 + 53408*x^4 - 42784*x^3 + 22562*x^2 - 7147*x + 1045

Placing the root at 8:  3085
-827*x^9 + 8270*x^8 - 36997*x^7 + 97278*x^6 - 165877*x^5 + 190532*x^4 - 147730*x^3 + 74768*x^2 - 22501*x + 3085

Placing the root at 9:  1418
-323*x^9 + 3230*x^8 - 14475*x^7 + 38220*x^6 - 65670*x^5 + 76362*x^4 - 60318*x^3 + 31365*x^2 - 9808*x + 1418

Placing the root at 1:  270
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8816*x^5 + 10552*x^4 - 8709*x^3 + 4827*x^2 - 1651*x + 270

Placing the root at 2:  365
-62*x^9 + 620*x^8 - 2790*x^7 + 7440*x^6 - 13006*x^5 + 15526*x^4 - 12726*x^3 + 6954*x^2 - 2320*x + 365

Placing the root at 3:  1268
-303*x^9 + 3030*x^8 - 13573*x^7 + 35802*x^6 - 61398*x^5 + 71162*x^4 - 55916*x^3 + 28842*x^2 - 8913*x + 1268

Placing the root at 5:  1007
-228*x^9 + 2280*x^8 - 10218*x^7 + 26982*x^6 - 46368*x^5 + 53932*x^4 - 42620*x^3 + 22179*x^2 - 6945*x + 1007

Placing the root at 6:  280
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9030*x^5 + 10824*x^4 - 8958*x^3 + 4983*x^2 - 1710*x + 280

Placing the root at 7:  1047
-237*x^9 + 2370*x^8 - 10622*x^7 + 28053*x^6 - 48222*x^5 + 56112*x^4 - 44364*x^3 + 23094*x^2 - 7230*x + 1047

Placing the root at 0:  292
-48*x^9 + 480*x^8 - 2160*x^7 + 5757*x^6 - 10053*x^5 + 11988*x^4 - 9829*x^3 + 5392*x^2 - 1818*x + 292

Placing the root at 1:  237
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7557*x^5 + 9048*x^4 - 7476*x^3 + 4156*x^2 - 1431*x + 237

Placing the root at 2:  328
-55*x^9 + 550*x^8 - 2475*x^7 + 6600*x^6 - 11538*x^5 + 13776*x^4 - 11298*x^3 + 6183*x^2 - 2070*x + 328

Placing the root at 3:  1155
-273*x^9 + 2730*x^8 - 12230*x^7 + 32265*x^6 - 55350*x^5 + 64188*x^4 - 50484*x^3 + 26082*x^2 - 8082*x + 1155

Placing the root at 5:  903
-201*x^9 + 2010*x^8 - 9009*x^7 + 23796*x^6 - 40914*x^5 + 47631*x^4 - 37698*x^3 + 19668*x^2 - 6185*x + 903

Placing the root at 1:  630
-111*x^9 + 1110*x^8 - 4995*x^7 + 13311*x^6 - 23229*x^5 + 27648*x^4 - 22566*x^3 + 12261*x^2 - 4058*x + 630

Placing the root at 2:  760
-136*x^9 + 1360*x^8 - 6120*x^7 + 16320*x^6 - 28523*x^5 + 34013*x^4 - 27792*x^3 + 15079*x^2 - 4960*x + 760

Placing the root at 3:  2504
-624*x^9 + 6240*x^8 - 27944*x^7 + 73656*x^6 - 126144*x^5 + 145861*x^4 - 114163*x^3 + 58512*x^2 - 17897*x + 2504

Placing the root at 0:  504
-81*x^9 + 810*x^8 - 3645*x^7 + 9720*x^6 - 17001*x^5 + 20340*x^4 - 16764*x^3 + 9258*x^2 - 3140*x + 504

Placing the root at 9:  1819
-423*x^9 + 4230*x^8 - 18954*x^7 + 50031*x^6 - 85914*x^5 + 99801*x^4 - 78696*x^3 + 40800*x^2 - 12693*x + 1819

Placing the root at 1:  939
-171*x^9 + 1710*x^8 - 7695*x^7 + 20504*x^6 - 35766*x^5 + 42520*x^4 - 34614*x^3 + 18712*x^2 - 6138*x + 939

Placing the root at 2:  1093
-199*x^9 + 1990*x^8 - 8955*x^7 + 23880*x^6 - 41733*x^5 + 49749*x^4 - 40609*x^3 + 21981*x^2 - 7196*x + 1093

Placing the root at 3:  3535
-894*x^9 + 8940*x^8 - 40031*x^7 + 105489*x^6 - 180576*x^5 + 208629*x^4 - 163065*x^3 + 83387*x^2 - 25413*x + 3535

Placing the root at 5:  696
-112*x^9 + 1120*x^8 - 5040*x^7 + 13440*x^6 - 23511*x^5 + 28143*x^4 - 23217*x^3 + 12834*x^2 - 4352*x + 696

Placing the root at 6:  1324
-264*x^9 + 2640*x^8 - 11880*x^7 + 31624*x^6 - 54992*x^5 + 64960*x^4 - 52313*x^3 + 27823*x^2 - 8921*x + 1324

Placing the root at 7:  4055
-1060*x^9 + 10600*x^8 - 47436*x^7 + 124824*x^6 - 213152*x^5 + 245392*x^4 - 190904*x^3 + 97063*x^2 - 29381*x + 4055

Placing the root at 0:  817
-144*x^9 + 1440*x^8 - 6480*x^7 + 17268*x^6 - 30132*x^5 + 35860*x^4 - 29267*x^3 + 15904*x^2 - 5265*x + 817

Placing the root at 1:  573
-102*x^9 + 1020*x^8 - 4590*x^7 + 12231*x^6 - 21339*x^5 + 25382*x^4 - 20689*x^3 + 11216*x^2 - 3701*x + 573

Placing the root at 2:  686
-123*x^9 + 1230*x^8 - 5535*x^7 + 14760*x^6 - 25796*x^5 + 30758*x^4 - 25125*x^3 + 13624*x^2 - 4478*x + 686

Placing the root at 3:  2259
-563*x^9 + 5630*x^8 - 25212*x^7 + 66453*x^6 - 113802*x^5 + 131578*x^4 - 102970*x^3 + 52767*x^2 - 16139*x + 2259

Placing the root at 5:  376
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14103*x^4 - 11697*x^3 + 6543*x^2 - 2268*x + 376

Placing the root at 6:  763
-146*x^9 + 1460*x^8 - 6570*x^7 + 17492*x^6 - 30436*x^5 + 36008*x^4 - 29092*x^3 + 15569*x^2 - 5047*x + 763

Placing the root at 7:  2437
-617*x^9 + 6170*x^8 - 27619*x^7 + 72726*x^6 - 124342*x^5 + 143444*x^4 - 111958*x^3 + 57212*x^2 - 17452*x + 2437

Placing the root at 8:  1436
-320*x^9 + 3200*x^8 - 14344*x^7 + 37896*x^6 - 65184*x^5 + 75936*x^4 - 60153*x^3 + 31407*x^2 - 9873*x + 1436

Placing the root at 0:  477
-81*x^9 + 810*x^8 - 3645*x^7 + 9714*x^6 - 16956*x^5 + 20198*x^4 - 16522*x^3 + 9023*x^2 - 3017*x + 477

Placing the root at 1:  519
-90*x^9 + 900*x^8 - 4050*x^7 + 10793*x^6 - 18837*x^5 + 22428*x^4 - 18321*x^3 + 9974*x^2 - 3315*x + 519

Placing the root at 2:  638
-113*x^9 + 1130*x^8 - 5085*x^7 + 13560*x^6 - 23700*x^5 + 28266*x^4 - 23107*x^3 + 12552*x^2 - 4140*x + 638

Placing the root at 3:  2127
-525*x^9 + 5250*x^8 - 23512*x^7 + 61983*x^6 - 106182*x^5 + 122838*x^4 - 96222*x^3 + 49385*x^2 - 15141*x + 2127

Placing the root at 0:  403
-63*x^9 + 630*x^8 - 2835*x^7 + 7560*x^6 - 13224*x^5 + 15828*x^4 - 13064*x^3 + 7241*x^2 - 2475*x + 403

Placing the root at 5:  457
-74*x^9 + 740*x^8 - 3330*x^7 + 8880*x^6 - 15531*x^5 + 18576*x^4 - 15297*x^3 + 8433*x^2 - 2853*x + 457

Placing the root at 6:  871
-173*x^9 + 1730*x^8 - 7785*x^7 + 20723*x^6 - 36034*x^5 + 42560*x^4 - 34267*x^3 + 18224*x^2 - 5848*x + 871

Placing the root at 7:  2689
-698*x^9 + 6980*x^8 - 31237*x^7 + 82203*x^6 - 140389*x^5 + 161660*x^4 - 125818*x^3 + 64025*x^2 - 19414*x + 2689

Placing the root at 8:  1643
-383*x^9 + 3830*x^8 - 17161*x^7 + 45294*x^6 - 77766*x^5 + 90309*x^4 - 71178*x^3 + 36879*x^2 - 11466*x + 1643

Placing the root at 9:  1492
-340*x^9 + 3400*x^8 - 15237*x^7 + 40233*x^6 - 69132*x^5 + 80394*x^4 - 63510*x^3 + 33028*x^2 - 10327*x + 1492

Placing the root at 1:  741
-129*x^9 + 1290*x^8 - 5805*x^7 + 15470*x^6 - 27000*x^5 + 32148*x^4 - 26262*x^3 + 14296*x^2 - 4748*x + 741

Placing the root at 2:  905
-161*x^9 + 1610*x^8 - 7245*x^7 + 19320*x^6 - 33767*x^5 + 40271*x^4 - 32917*x^3 + 17875*x^2 - 5890*x + 905

Placing the root at 3:  2999
-744*x^9 + 7440*x^8 - 33319*x^7 + 87831*x^6 - 150444*x^5 + 174007*x^4 - 136255*x^3 + 69887*x^2 - 21401*x + 2999

Placing the root at 0:  577
-90*x^9 + 900*x^8 - 4050*x^7 + 10800*x^6 - 18894*x^5 + 22626*x^4 - 18695*x^3 + 10378*x^2 - 3551*x + 577

Placing the root at 5:  903
-166*x^9 + 1660*x^8 - 7470*x^7 + 19902*x^6 - 34698*x^5 + 41202*x^4 - 33477*x^3 + 18054*x^2 - 5909*x + 903

Placing the root at 6:  1558
-327*x^9 + 3270*x^8 - 14715*x^7 + 39157*x^6 - 68006*x^5 + 80098*x^4 - 64148*x^3 + 33808*x^2 - 10694*x + 1558

Placing the root at 7:  4559
-1231*x^9 + 12310*x^8 - 55068*x^7 + 144777*x^6 - 246821*x^5 + 283408*x^4 - 219614*x^3 + 111040*x^2 - 33359*x + 4559

Placing the root at 8:  1130
-221*x^9 + 2210*x^8 - 9945*x^7 + 26475*x^6 - 46050*x^5 + 54432*x^4 - 43896*x^3 + 23412*x^2 - 7546*x + 1130

Placing the root at 9:  3533
-909*x^9 + 9090*x^8 - 40684*x^7 + 107091*x^6 - 182979*x^5 + 210864*x^4 - 164304*x^3 + 83748*x^2 - 25449*x + 3533

Placing the root at 1:  429
-72*x^9 + 720*x^8 - 3240*x^7 + 8635*x^6 - 15075*x^5 + 17964*x^4 - 14705*x^3 + 8042*x^2 - 2697*x + 429

Placing the root at 2:  546
-95*x^9 + 950*x^8 - 4275*x^7 + 11400*x^6 - 19926*x^5 + 23772*x^4 - 19451*x^3 + 10590*x^2 - 3510*x + 546

Placing the root at 3:  1855
-451*x^9 + 4510*x^8 - 20200*x^7 + 53265*x^6 - 91290*x^5 + 105696*x^4 - 82908*x^3 + 42649*x^2 - 13125*x + 1855

Placing the root at 5:  520
-92*x^9 + 920*x^8 - 4140*x^7 + 11031*x^6 - 19239*x^5 + 22869*x^4 - 18627*x^3 + 10098*x^2 - 3339*x + 520

Placing the root at 6:  934
-191*x^9 + 1910*x^8 - 8595*x^7 + 22874*x^6 - 39742*x^5 + 46853*x^4 - 37597*x^3 + 19889*x^2 - 6334*x + 934

Placing the root at 7:  2815
-743*x^9 + 7430*x^8 - 33244*x^7 + 87441*x^6 - 149200*x^5 + 171560*x^4 - 133243*x^3 + 67607*x^2 - 20422*x + 2815

Placing the root at 8:  1220
-266*x^9 + 2660*x^8 - 11925*x^7 + 31515*x^6 - 54240*x^5 + 63252*x^4 - 50196*x^3 + 26292*x^2 - 8311*x + 1220

Placing the root at 0:  311
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9450*x^5 + 11334*x^4 - 9408*x^3 + 5279*x^2 - 1845*x + 311

Placing the root at 1:  345
-60*x^9 + 600*x^8 - 2700*x^7 + 7195*x^6 - 12555*x^5 + 14941*x^4 - 12193*x^3 + 6628*x^2 - 2200*x + 345

Placing the root at 2:  425
-75*x^9 + 750*x^8 - 3375*x^7 + 9000*x^6 - 15730*x^5 + 18760*x^4 - 15335*x^3 + 8330*x^2 - 2749*x + 425

Placing the root at 3:  1426
-350*x^9 + 3500*x^8 - 15675*x^7 + 41325*x^6 - 70800*x^5 + 81920*x^4 - 64190*x^3 + 32965*x^2 - 10120*x + 1426

Placing the root at 5:  202
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7056*x^4 - 5871*x^3 + 3315*x^2 - 1173*x + 202

Placing the root at 6:  819
-174*x^9 + 1740*x^8 - 7802*x^7 + 20628*x^6 - 35532*x^5 + 41496*x^4 - 33012*x^3 + 17361*x^2 - 5523*x + 819

Placing the root at 0:  275
-45*x^9 + 450*x^8 - 2025*x^7 + 5397*x^6 - 9423*x^5 + 11233*x^4 - 9206*x^3 + 5050*x^2 - 1705*x + 275

Placing the root at 1:  318
-54*x^9 + 540*x^8 - 2430*x^7 + 6476*x^6 - 11304*x^5 + 13464*x^4 - 11009*x^3 + 6007*x^2 - 2007*x + 318

Placing the root at 2:  401
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14682*x^5 + 17514*x^4 - 14326*x^3 + 7794*x^2 - 2580*x + 401

Placing the root at 3:  1360
-331*x^9 + 3310*x^8 - 14825*x^7 + 39090*x^6 - 66990*x^5 + 77550*x^4 - 60816*x^3 + 31274*x^2 - 9621*x + 1360

Placing the root at 5:  247
-37*x^9 + 370*x^8 - 1665*x^7 + 4440*x^6 - 7770*x^5 + 9315*x^4 - 7716*x^3 + 4305*x^2 - 1488*x + 247

Placing the root at 6:  945
-210*x^9 + 2100*x^8 - 9413*x^7 + 24867*x^6 - 42768*x^5 + 49812*x^4 - 39447*x^3 + 20592*x^2 - 6477*x + 945

Placing the root at 0:  238
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7557*x^5 + 9048*x^4 - 7477*x^3 + 4159*x^2 - 1434*x + 238

Placing the root at 9:  910
-202*x^9 + 2020*x^8 - 9054*x^7 + 23916*x^6 - 41124*x^5 + 47883*x^4 - 37908*x^3 + 19787*x^2 - 6227*x + 910

Placing the root at 1:  474
-81*x^9 + 810*x^8 - 3645*x^7 + 9714*x^6 - 16956*x^5 + 20196*x^4 - 16513*x^3 + 9008*x^2 - 3006*x + 474

Placing the root at 2:  592
-104*x^9 + 1040*x^8 - 4680*x^7 + 12480*x^6 - 21813*x^5 + 26019*x^4 - 21279*x^3 + 11571*x^2 - 3825*x + 592

Placing the root at 3:  1991
-488*x^9 + 4880*x^8 - 21856*x^7 + 57624*x^6 - 98736*x^5 + 114267*x^4 - 89565*x^3 + 46017*x^2 - 14133*x + 1991

Placing the root at 5:  493
-83*x^9 + 830*x^8 - 3735*x^7 + 9960*x^6 - 17412*x^5 + 20790*x^4 - 17052*x^3 + 9333*x^2 - 3123*x + 493

Placing the root at 6:  1724
-410*x^9 + 4100*x^8 - 18367*x^7 + 48453*x^6 - 83112*x^5 + 96366*x^4 - 75768*x^3 + 39120*x^2 - 12105*x + 1724

Placing the root at 0:  357
-54*x^9 + 540*x^8 - 2430*x^7 + 6480*x^6 - 11337*x^5 + 13581*x^4 - 11236*x^3 + 6260*x^2 - 2160*x + 357

Placing the root at 8:  720
-138*x^9 + 1380*x^8 - 6210*x^7 + 16533*x^6 - 28764*x^5 + 34020*x^4 - 27471*x^3 + 14691*x^2 - 4760*x + 720

Placing the root at 9:  2302
-582*x^9 + 5820*x^8 - 26052*x^7 + 68598*x^6 - 117279*x^5 + 135288*x^4 - 105588*x^3 + 53961*x^2 - 16467*x + 2302

Placing the root at 1:  273
-45*x^9 + 450*x^8 - 2025*x^7 + 5397*x^6 - 9423*x^5 + 11232*x^4 - 9201*x^3 + 5041*x^2 - 1698*x + 273

Placing the root at 2:  355
-61*x^9 + 610*x^8 - 2745*x^7 + 7320*x^6 - 12795*x^5 + 15267*x^4 - 12498*x^3 + 6813*x^2 - 2265*x + 355

Placing the root at 3:  1224
-294*x^9 + 2940*x^8 - 13169*x^7 + 34731*x^6 - 59544*x^5 + 68979*x^4 - 54159*x^3 + 27906*x^2 - 8613*x + 1224

Placing the root at 5:  283
-46*x^9 + 460*x^8 - 2070*x^7 + 5520*x^6 - 9651*x^5 + 11529*x^4 - 9471*x^3 + 5205*x^2 - 1758*x + 283

Placing the root at 6:  1026
-237*x^9 + 2370*x^8 - 10619*x^7 + 28026*x^6 - 48114*x^5 + 55869*x^4 - 44037*x^3 + 22833*x^2 - 7116*x + 1026

Placing the root at 8:  774
-165*x^9 + 1650*x^8 - 7398*x^7 + 19557*x^6 - 33678*x^5 + 39312*x^4 - 31251*x^3 + 16419*x^2 - 5219*x + 774

Placing the root at 0:  192
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5670*x^5 + 6801*x^4 - 5649*x^3 + 3178*x^2 - 1119*x + 192

Placing the root at 1:  363
-60*x^9 + 600*x^8 - 2700*x^7 + 7196*x^6 - 12564*x^5 + 14976*x^4 - 12268*x^3 + 6721*x^2 - 2263*x + 363

Placing the root at 2:  470
-81*x^9 + 810*x^8 - 3645*x^7 + 9720*x^6 - 16990*x^5 + 20272*x^4 - 16594*x^3 + 9044*x^2 - 3005*x + 470

Placing the root at 3:  1614
-389*x^9 + 3890*x^8 - 17424*x^7 + 45951*x^6 - 78774*x^5 + 91244*x^4 - 71624*x^3 + 36890*x^2 - 11377*x + 1614

Placing the root at 5:  547
-101*x^9 + 1010*x^8 - 4545*x^7 + 12102*x^6 - 21066*x^5 + 24948*x^4 - 20202*x^3 + 10863*x^2 - 3555*x + 547

Placing the root at 6:  1814
-446*x^9 + 4460*x^8 - 19969*x^7 + 52611*x^6 - 90042*x^5 + 104052*x^4 - 81438*x^3 + 41802*x^2 - 12843*x + 1814

Placing the root at 0:  256
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7560*x^5 + 9069*x^4 - 7536*x^3 + 4243*x^2 - 1495*x + 256

Placing the root at 9:  1029
-220*x^9 + 2200*x^8 - 9864*x^7 + 26076*x^6 - 44904*x^5 + 52416*x^4 - 41667*x^3 + 21888*x^2 - 6953*x + 1029

Placing the root at 1:  207
-33*x^9 + 330*x^8 - 1485*x^7 + 3958*x^6 - 6912*x^5 + 8244*x^4 - 6764*x^3 + 3720*x^2 - 1264*x + 207

Placing the root at 2:  279
-47*x^9 + 470*x^8 - 2115*x^7 + 5640*x^6 - 9859*x^5 + 11767*x^4 - 9641*x^3 + 5267*x^2 - 1760*x + 279

Placing the root at 3:  983
-232*x^9 + 2320*x^8 - 10393*x^7 + 27417*x^6 - 47028*x^5 + 54527*x^4 - 42875*x^3 + 22147*x^2 - 6865*x + 983

Placing the root at 5:  310
-55*x^9 + 550*x^8 - 2475*x^7 + 6591*x^6 - 11478*x^5 + 13608*x^4 - 11046*x^3 + 5970*x^2 - 1974*x + 310

Placing the root at 6:  1071
-255*x^9 + 2550*x^8 - 11420*x^7 + 30105*x^6 - 51579*x^5 + 59712*x^4 - 46872*x^3 + 24174*x^2 - 7485*x + 1071

Placing the root at 7:  583
-119*x^9 + 1190*x^8 - 5337*x^7 + 14118*x^6 - 24342*x^5 + 28476*x^4 - 22722*x^3 + 12015*x^2 - 3861*x + 583

Placing the root at 0:  137
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4536*x^4 - 3777*x^3 + 2142*x^2 - 769*x + 137

Placing the root at 1:  392
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11760*x^5 + 14107*x^4 - 11720*x^3 + 6592*x^2 - 2314*x + 392

Placing the root at 2:  824
-154*x^9 + 1540*x^8 - 6930*x^7 + 18452*x^6 - 32116*x^5 + 38024*x^4 - 30772*x^3 + 16525*x^2 - 5392*x + 824

Placing the root at 3:  2694
-670*x^9 + 6700*x^8 - 29996*x^7 + 79014*x^6 - 135184*x^5 + 156128*x^4 - 122080*x^3 + 62564*x^2 - 19169*x + 2694

Placing the root at 0:  585
-100*x^9 + 1000*x^8 - 4500*x^7 + 11992*x^6 - 20928*x^5 + 24916*x^4 - 20360*x^3 + 11102*x^2 - 3706*x + 585

Placing the root at 6:  1550
-336*x^9 + 3360*x^8 - 15064*x^7 + 39816*x^6 - 68544*x^5 + 79968*x^4 - 63509*x^3 + 33304*x^2 - 10544*x + 1550

Placing the root at 7:  859
-162*x^9 + 1620*x^8 - 7290*x^7 + 19420*x^6 - 33840*x^5 + 40128*x^4 - 32512*x^3 + 17448*x^2 - 5670*x + 859

Placing the root at 8:  1452
-308*x^9 + 3080*x^8 - 13860*x^7 + 36879*x^6 - 64032*x^5 + 75368*x^4 - 60284*x^3 + 31706*x^2 - 10000*x + 1452

Placing the root at 9:  4212
-1144*x^9 + 11440*x^8 - 51172*x^7 + 134508*x^6 - 229233*x^5 + 263064*x^4 - 203680*x^3 + 102868*x^2 - 30862*x + 4212

Placing the root at 1:  580
-92*x^9 + 920*x^8 - 4140*x^7 + 11040*x^6 - 19313*x^5 + 23121*x^4 - 19084*x^3 + 10566*x^2 - 3597*x + 580

Placing the root at 2:  1120
-221*x^9 + 2210*x^8 - 9945*x^7 + 26474*x^6 - 46042*x^5 + 54404*x^4 - 43841*x^3 + 23349*x^2 - 7507*x + 1120

Placing the root at 3:  3472
-899*x^9 + 8990*x^8 - 40234*x^7 + 105891*x^6 - 180880*x^5 + 208352*x^4 - 162232*x^3 + 82603*x^2 - 25062*x + 3472

Placing the root at 0:  655
-112*x^9 + 1120*x^8 - 5040*x^7 + 13432*x^6 - 23448*x^5 + 27936*x^4 - 22854*x^3 + 12476*x^2 - 4164*x + 655

Placing the root at 6:  683
-114*x^9 + 1140*x^8 - 5130*x^7 + 13680*x^6 - 23924*x^5 + 28600*x^4 - 23512*x^3 + 12908*x^2 - 4330*x + 683

Placing the root at 7:  1264
-256*x^9 + 2560*x^8 - 11520*x^7 + 30663*x^6 - 53304*x^5 + 62916*x^4 - 50584*x^3 + 26826*x^2 - 8564*x + 1264

Placing the root at 8:  3820
-1008*x^9 + 10080*x^8 - 45104*x^7 + 118656*x^6 - 202521*x^5 + 232968*x^4 - 181020*x^3 + 91880*x^2 - 27750*x + 3820

Placing the root at 9:  2386
-569*x^9 + 5690*x^8 - 25491*x^7 + 67254*x^6 - 115386*x^5 + 133828*x^4 - 105254*x^3 + 54344*x^2 - 16801*x + 2386

Placing the root at 1:  492
-76*x^9 + 760*x^8 - 3420*x^7 + 9120*x^6 - 15955*x^5 + 19107*x^4 - 15790*x^3 + 8772*x^2 - 3009*x + 492

Placing the root at 2:  974
-189*x^9 + 1890*x^8 - 8505*x^7 + 22642*x^6 - 39386*x^5 + 46564*x^4 - 37567*x^3 + 20055*x^2 - 6477*x + 974

Placing the root at 3:  3074
-785*x^9 + 7850*x^8 - 35136*x^7 + 92499*x^6 - 158084*x^5 + 182248*x^4 - 142100*x^3 + 72509*x^2 - 22074*x + 3074

Placing the root at 0:  509
-80*x^9 + 800*x^8 - 3600*x^7 + 9600*x^6 - 16792*x^5 + 20096*x^4 - 16580*x^3 + 9182*x^2 - 3134*x + 509

Placing the root at 6:  795
-146*x^9 + 1460*x^8 - 6570*x^7 + 17504*x^6 - 30516*x^5 + 36232*x^4 - 29432*x^3 + 15868*x^2 - 5194*x + 795

Placing the root at 7:  1376
-288*x^9 + 2880*x^8 - 12960*x^7 + 34487*x^6 - 59896*x^5 + 70548*x^4 - 56504*x^3 + 29786*x^2 - 9428*x + 1376

Placing the root at 8:  4044
-1088*x^9 + 10880*x^8 - 48672*x^7 + 127968*x^6 - 218185*x^5 + 250568*x^4 - 194220*x^3 + 98248*x^2 - 29542*x + 4044

Placing the root at 9:  1876
-429*x^9 + 4290*x^8 - 19225*x^7 + 50760*x^6 - 87210*x^5 + 101396*x^4 - 80074*x^3 + 41620*x^2 - 13003*x + 1876

Placing the root at 1:  360
-56*x^9 + 560*x^8 - 2520*x^7 + 6720*x^6 - 11756*x^5 + 14076*x^4 - 11625*x^3 + 6448*x^2 - 2206*x + 360

Placing the root at 2:  710
-138*x^9 + 1380*x^8 - 6210*x^7 + 16532*x^6 - 28756*x^5 + 33992*x^4 - 27416*x^3 + 14628*x^2 - 4721*x + 710

Placing the root at 3:  2241
-572*x^9 + 5720*x^8 - 25602*x^7 + 67398*x^6 - 115180*x^5 + 132776*x^4 - 103516*x^3 + 52816*x^2 - 16080*x + 2241

Placing the root at 6:  370
-57*x^9 + 570*x^8 - 2565*x^7 + 6840*x^6 - 11970*x^5 + 14348*x^4 - 11874*x^3 + 6604*x^2 - 2265*x + 370

Placing the root at 7:  1378
-313*x^9 + 3130*x^8 - 14028*x^7 + 37047*x^6 - 63678*x^5 + 74088*x^4 - 58564*x^3 + 30474*x^2 - 9533*x + 1378

Placing the root at 0:  388
-64*x^9 + 640*x^8 - 2880*x^7 + 7676*x^6 - 13404*x^5 + 15984*x^4 - 13105*x^3 + 7188*x^2 - 2422*x + 388

Placing the root at 1:  316
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10077*x^5 + 12069*x^4 - 9978*x^3 + 5551*x^2 - 1912*x + 316

Placing the root at 2:  637
-122*x^9 + 1220*x^8 - 5490*x^7 + 14616*x^6 - 25428*x^5 + 30072*x^4 - 24279*x^3 + 12981*x^2 - 4206*x + 637

Placing the root at 3:  2042
-515*x^9 + 5150*x^8 - 23053*x^7 + 60702*x^6 - 103782*x^5 + 119724*x^4 - 93450*x^3 + 47769*x^2 - 14586*x + 2042

Placing the root at 6:  434
-73*x^9 + 730*x^8 - 3285*x^7 + 8760*x^6 - 15314*x^5 + 18284*x^4 - 14994*x^3 + 8204*x^2 - 2745*x + 434

Placing the root at 7:  1522
-361*x^9 + 3610*x^8 - 16172*x^7 + 42663*x^6 - 73182*x^5 + 84856*x^4 - 66724*x^3 + 34458*x^2 - 10669*x + 1522

Placing the root at 0:  315
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10076*x^5 + 12064*x^4 - 9968*x^3 + 5541*x^2 - 1907*x + 315

Placing the root at 9:  1195
-267*x^9 + 2670*x^8 - 11967*x^7 + 31608*x^6 - 54342*x^5 + 63256*x^4 - 50054*x^3 + 26104*x^2 - 8202*x + 1195

Placing the root at 1:  420
-64*x^9 + 640*x^8 - 2880*x^7 + 7680*x^6 - 13436*x^5 + 16092*x^4 - 13304*x^3 + 7401*x^2 - 2548*x + 420

Placing the root at 2:  843
-162*x^9 + 1620*x^8 - 7290*x^7 + 19408*x^6 - 33764*x^5 + 39928*x^4 - 32232*x^3 + 17228*x^2 - 5578*x + 843

Placing the root at 3:  2690
-681*x^9 + 6810*x^8 - 30483*x^7 + 80262*x^6 - 137210*x^5 + 158260*x^4 - 123494*x^3 + 63096*x^2 - 19249*x + 2690

Placing the root at 1:  210
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7056*x^4 - 5875*x^3 + 3330*x^2 - 1192*x + 210

Placing the root at 2:  468
-84*x^9 + 840*x^8 - 3780*x^7 + 10066*x^6 - 17528*x^5 + 20776*x^4 - 16856*x^3 + 9100*x^2 - 3001*x + 468

Placing the root at 3:  1595
-384*x^9 + 3840*x^8 - 17196*x^7 + 45324*x^6 - 77630*x^5 + 89824*x^4 - 70448*x^3 + 36280*x^2 - 11204*x + 1595

Placing the root at 4:  880
-182*x^9 + 1820*x^8 - 8162*x^7 + 21588*x^6 - 37212*x^5 + 43512*x^4 - 34692*x^3 + 18317*x^2 - 5868*x + 880

Placing the root at 0:  334
-55*x^9 + 550*x^8 - 2475*x^7 + 6596*x^6 - 11514*x^5 + 13718*x^4 - 11230*x^3 + 6150*x^2 - 2073*x + 334

Placing the root at 7:  511
-94*x^9 + 940*x^8 - 4230*x^7 + 11269*x^6 - 19641*x^5 + 23305*x^4 - 18909*x^3 + 10179*x^2 - 3329*x + 511

Placing the root at 8:  889
-185*x^9 + 1850*x^8 - 8325*x^7 + 22153*x^6 - 38474*x^5 + 45315*x^4 - 36295*x^3 + 19139*x^2 - 6066*x + 889

Placing the root at 9:  2639
-704*x^9 + 7040*x^8 - 31495*x^7 + 82815*x^6 - 141227*x^5 + 162244*x^4 - 125835*x^3 + 63725*x^2 - 19201*x + 2639

Placing the root at 1:  313
-46*x^9 + 460*x^8 - 2070*x^7 + 5520*x^6 - 9660*x^5 + 11585*x^4 - 9611*x^3 + 5382*x^2 - 1872*x + 313

Placing the root at 2:  644
-122*x^9 + 1220*x^8 - 5490*x^7 + 14617*x^6 - 25436*x^5 + 30100*x^4 - 24332*x^3 + 13037*x^2 - 4237*x + 644

Placing the root at 3:  2081
-522*x^9 + 5220*x^8 - 23368*x^7 + 61542*x^6 - 105251*x^5 + 121480*x^4 - 94892*x^3 + 48556*x^2 - 14845*x + 2081

Placing the root at 4:  1212
-267*x^9 + 2670*x^8 - 11969*x^7 + 31626*x^6 - 54414*x^5 + 63420*x^4 - 50281*x^3 + 26293*x^2 - 8289*x + 1212

Placing the root at 0:  382
-63*x^9 + 630*x^8 - 2835*x^7 + 7556*x^6 - 13194*x^5 + 15732*x^4 - 12896*x^3 + 7072*x^2 - 2383*x + 382

Placing the root at 6:  416
-68*x^9 + 680*x^8 - 3060*x^7 + 8160*x^6 - 14271*x^5 + 17064*x^4 - 14039*x^3 + 7724*x^2 - 2605*x + 416

Placing the root at 7:  788
-157*x^9 + 1570*x^8 - 7065*x^7 + 18806*x^6 - 32698*x^5 + 38612*x^4 - 31075*x^3 + 16514*x^2 - 5294*x + 788

Placing the root at 8:  2429
-631*x^9 + 6310*x^8 - 28238*x^7 + 74307*x^6 - 126892*x^5 + 146096*x^4 - 113680*x^3 + 57833*x^2 - 17533*x + 2429

Placing the root at 9:  1487
-348*x^9 + 3480*x^8 - 15592*x^7 + 41148*x^6 - 70632*x^5 + 81993*x^4 - 64584*x^3 + 33433*x^2 - 10384*x + 1487

Placing the root at 1:  265
-38*x^9 + 380*x^8 - 1710*x^7 + 4560*x^6 - 7980*x^5 + 9571*x^4 - 7945*x^3 + 4460*x^2 - 1562*x + 265

Placing the root at 2:  558
-104*x^9 + 1040*x^8 - 4680*x^7 + 12461*x^6 - 21688*x^5 + 25676*x^4 - 20776*x^3 + 11155*x^2 - 3641*x + 558

Placing the root at 3:  1835
-454*x^9 + 4540*x^8 - 20326*x^7 + 53544*x^6 - 91615*x^5 + 105824*x^4 - 82768*x^3 + 42440*x^2 - 13019*x + 1835

Placing the root at 4:  1050
-227*x^9 + 2270*x^8 - 10177*x^7 + 26898*x^6 - 46302*x^5 + 54012*x^4 - 42887*x^3 + 22487*x^2 - 7123*x + 1050

Placing the root at 0:  296
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9446*x^5 + 11308*x^4 - 9340*x^3 + 5190*x^2 - 1787*x + 296

Placing the root at 6:  479
-86*x^9 + 860*x^8 - 3870*x^7 + 10311*x^6 - 17979*x^5 + 21357*x^4 - 17369*x^3 + 9389*x^2 - 3091*x + 479

Placing the root at 7:  851
-175*x^9 + 1750*x^8 - 7875*x^7 + 20957*x^6 - 36406*x^5 + 42905*x^4 - 34405*x^3 + 18179*x^2 - 5780*x + 851

Placing the root at 8:  2555
-676*x^9 + 6760*x^8 - 30245*x^7 + 79545*x^6 - 135703*x^5 + 155996*x^4 - 121105*x^3 + 61415*x^2 - 18541*x + 2555

Placing the root at 9:  1128
-251*x^9 + 2510*x^8 - 11250*x^7 + 29715*x^6 - 51090*x^5 + 59476*x^4 - 47072*x^3 + 24560*x^2 - 7725*x + 1128

Placing the root at 1:  194
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7052*x^4 - 5852*x^3 + 3281*x^2 - 1146*x + 194

Placing the root at 2:  407
-76*x^9 + 760*x^8 - 3420*x^7 + 9106*x^6 - 15848*x^5 + 18760*x^4 - 15176*x^3 + 8144*x^2 - 2656*x + 407

Placing the root at 3:  1338
-331*x^9 + 3310*x^8 - 14819*x^7 + 39036*x^6 - 66788*x^5 + 77140*x^4 - 60326*x^3 + 30928*x^2 - 9487*x + 1338

Placing the root at 4:  766
-166*x^9 + 1660*x^8 - 7442*x^7 + 19668*x^6 - 33852*x^5 + 39480*x^4 - 31336*x^3 + 16420*x^2 - 5197*x + 766

Placing the root at 6:  225
-34*x^9 + 340*x^8 - 1530*x^7 + 4080*x^6 - 7140*x^5 + 8559*x^4 - 7086*x^3 + 3947*x^2 - 1360*x + 225

Placing the root at 7:  856
-191*x^9 + 1910*x^8 - 8561*x^7 + 22614*x^6 - 38886*x^5 + 45276*x^4 - 35835*x^3 + 18690*x^2 - 5872*x + 856

Placing the root at 0:  226
-36*x^9 + 360*x^8 - 1620*x^7 + 4318*x^6 - 7542*x^5 + 9000*x^4 - 7392*x^3 + 4071*x^2 - 1384*x + 226

Placing the root at 1:  170
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6045*x^4 - 5019*x^3 + 2820*x^2 - 991*x + 170

Placing the root at 2:  364
-67*x^9 + 670*x^8 - 3015*x^7 + 8028*x^6 - 13974*x^5 + 16548*x^4 - 13398*x^3 + 7203*x^2 - 2358*x + 364

Placing the root at 3:  1215
-297*x^9 + 2970*x^8 - 13298*x^7 + 35037*x^6 - 59970*x^5 + 69312*x^4 - 54264*x^3 + 27870*x^2 - 8574*x + 1215

Placing the root at 4:  685
-146*x^9 + 1460*x^8 - 6546*x^7 + 17304*x^6 - 29796*x^5 + 34776*x^4 - 27639*x^3 + 14517*x^2 - 4614*x + 685

Placing the root at 6:  261
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9021*x^5 + 10773*x^4 - 8841*x^3 + 4847*x^2 - 1630*x + 261

Placing the root at 7:  937
-218*x^9 + 2180*x^8 - 9767*x^7 + 25773*x^6 - 44232*x^5 + 51333*x^4 - 40425*x^3 + 20931*x^2 - 6511*x + 937

Placing the root at 0:  183
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5668*x^5 + 6788*x^4 - 5614*x^3 + 3130*x^2 - 1086*x + 183

Placing the root at 9:  717
-156*x^9 + 1560*x^8 - 6993*x^7 + 18477*x^6 - 31788*x^5 + 37046*x^4 - 29374*x^3 + 15374*x^2 - 4862*x + 717

Placing the root at 1:  226
-32*x^9 + 320*x^8 - 1440*x^7 + 3840*x^6 - 6720*x^5 + 8060*x^4 - 6692*x^3 + 3760*x^2 - 1321*x + 226

Placing the root at 2:  482
-89*x^9 + 890*x^8 - 4005*x^7 + 10664*x^6 - 18562*x^5 + 21980*x^4 - 17794*x^3 + 9564*x^2 - 3129*x + 482

Placing the root at 3:  1602
-393*x^9 + 3930*x^8 - 17596*x^7 + 46359*x^6 - 79342*x^5 + 91688*x^4 - 71764*x^3 + 36842*x^2 - 11325*x + 1602

Placing the root at 4:  907
-194*x^9 + 1940*x^8 - 8698*x^7 + 22992*x^6 - 39588*x^5 + 46200*x^4 - 36712*x^3 + 19276*x^2 - 6122*x + 907

Placing the root at 6:  506
-95*x^9 + 950*x^8 - 4275*x^7 + 11382*x^6 - 19806*x^5 + 23436*x^4 - 18944*x^3 + 10154*x^2 - 3307*x + 506

Placing the root at 7:  1658
-411*x^9 + 4110*x^8 - 18400*x^7 + 48465*x^6 - 82908*x^5 + 95736*x^4 - 74844*x^3 + 38356*x^2 - 11761*x + 1658

Placing the root at 0:  244
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7558*x^5 + 9054*x^4 - 7492*x^3 + 4180*x^2 - 1451*x + 244

Placing the root at 1:  131
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4534*x^4 - 3766*x^3 + 2120*x^2 - 750*x + 131

Placing the root at 2:  288
-52*x^9 + 520*x^8 - 2340*x^7 + 6231*x^6 - 10848*x^5 + 12852*x^4 - 10416*x^3 + 5612*x^2 - 1846*x + 288

Placing the root at 3:  982
-236*x^9 + 2360*x^8 - 10568*x^7 + 27852*x^6 - 47697*x^5 + 55176*x^4 - 43260*x^3 + 22272*x^2 - 6880*x + 982

Placing the root at 4:  542
-113*x^9 + 1130*x^8 - 5067*x^7 + 13398*x^6 - 23082*x^5 + 26964*x^4 - 21464*x^3 + 11306*x^2 - 3613*x + 542

Placing the root at 1:  376
-60*x^9 + 600*x^8 - 2700*x^7 + 7200*x^6 - 12593*x^5 + 15064*x^4 - 12411*x^3 + 6852*x^2 - 2327*x + 376

Placing the root at 2:  728
-143*x^9 + 1430*x^8 - 6435*x^7 + 17130*x^6 - 29790*x^5 + 35196*x^4 - 28357*x^3 + 15102*x^2 - 4860*x + 728

Placing the root at 3:  2277
-585*x^9 + 5850*x^8 - 26182*x^7 + 68913*x^6 - 117732*x^5 + 135648*x^4 - 105672*x^3 + 53855*x^2 - 16371*x + 2277

Placing the root at 4:  1373
-316*x^9 + 3160*x^8 - 14160*x^7 + 37380*x^6 - 64200*x^5 + 74599*x^4 - 58856*x^3 + 30549*x^2 - 9528*x + 1373

Placing the root at 0:  322
-49*x^9 + 490*x^8 - 2205*x^7 + 5880*x^6 - 10286*x^5 + 12316*x^4 - 10178*x^3 + 5660*x^2 - 1949*x + 322

Placing the root at 9:  1222
-273*x^9 + 2730*x^8 - 12236*x^7 + 32319*x^6 - 55566*x^5 + 64684*x^4 - 51188*x^3 + 26698*x^2 - 8389*x + 1222

Placing the root at 1:  537
-86*x^9 + 860*x^8 - 3870*x^7 + 10320*x^6 - 18050*x^5 + 21592*x^4 - 17790*x^3 + 9822*x^2 - 3334*x + 537

Placing the root at 0:  461
-70*x^9 + 700*x^8 - 3150*x^7 + 8400*x^6 - 14696*x^5 + 17604*x^4 - 14562*x^3 + 8110*x^2 - 2796*x + 461

Placing the root at 2:  1034
-204*x^9 + 2040*x^8 - 9180*x^7 + 24437*x^6 - 42496*x^5 + 50204*x^4 - 40442*x^3 + 21530*x^2 - 6922*x + 1034

Placing the root at 3:  3214
-830*x^9 + 8300*x^8 - 37146*x^7 + 97764*x^6 - 166999*x^5 + 192368*x^4 - 149800*x^3 + 76294*x^2 - 23164*x + 3214

Placing the root at 4:  1950
-451*x^9 + 4510*x^8 - 20209*x^7 + 53346*x^6 - 91614*x^5 + 106438*x^4 - 83954*x^3 + 43554*x^2 - 13569*x + 1950

Placing the root at 5:  741
-134*x^9 + 1340*x^8 - 6030*x^7 + 16066*x^6 - 28014*x^5 + 33278*x^4 - 27064*x^3 + 14626*x^2 - 4808*x + 741

Placing the root at 6:  1302
-270*x^9 + 2700*x^8 - 12150*x^7 + 32333*x^6 - 56164*x^5 + 66178*x^4 - 53046*x^3 + 28004*x^2 - 8886*x + 1302

Placing the root at 7:  3864
-1032*x^9 + 10320*x^8 - 46170*x^7 + 121410*x^6 - 207067*x^5 + 237920*x^4 - 184562*x^3 + 93474*x^2 - 28156*x + 3864

Placing the root at 8:  926
-178*x^9 + 1780*x^8 - 8010*x^7 + 21325*x^6 - 37100*x^5 + 43876*x^4 - 35424*x^3 + 18938*x^2 - 6132*x + 926

Placing the root at 9:  2950
-748*x^9 + 7480*x^8 - 33482*x^7 + 88158*x^6 - 150707*x^5 + 173824*x^4 - 135632*x^3 + 69288*x^2 - 21130*x + 2950

Placing the root at 1:  310
-48*x^9 + 480*x^8 - 2160*x^7 + 5760*x^6 - 10075*x^5 + 12056*x^4 - 9945*x^3 + 5510*x^2 - 1887*x + 310

Placing the root at 2:  618
-119*x^9 + 1190*x^8 - 5355*x^7 + 14256*x^6 - 24798*x^5 + 29316*x^4 - 23651*x^3 + 12630*x^2 - 4086*x + 618

Placing the root at 3:  1975
-499*x^9 + 4990*x^8 - 22336*x^7 + 58809*x^6 - 100530*x^5 + 115944*x^4 - 90468*x^3 + 46225*x^2 - 14109*x + 1975

Placing the root at 4:  1165
-262*x^9 + 2620*x^8 - 11742*x^7 + 31008*x^6 - 53292*x^5 + 61997*x^4 - 49012*x^3 + 25527*x^2 - 8008*x + 1165

Placing the root at 5:  425
-74*x^9 + 740*x^8 - 3330*x^7 + 8873*x^6 - 15477*x^5 + 18403*x^4 - 15001*x^3 + 8147*x^2 - 2705*x + 425

Placing the root at 6:  777
-157*x^9 + 1570*x^8 - 7065*x^7 + 18803*x^6 - 32674*x^5 + 38535*x^4 - 30947*x^3 + 16397*x^2 - 5238*x + 777

Placing the root at 7:  2375
-620*x^9 + 6200*x^8 - 27743*x^7 + 72987*x^6 - 124585*x^5 + 143348*x^4 - 111447*x^3 + 56641*x^2 - 17155*x + 2375

Placing the root at 8:  996
-213*x^9 + 2130*x^8 - 9550*x^7 + 25245*x^6 - 43470*x^5 + 50736*x^4 - 40324*x^3 + 21178*x^2 - 6727*x + 996

Placing the root at 0:  248
-35*x^9 + 350*x^8 - 1575*x^7 + 4200*x^6 - 7350*x^5 + 8816*x^4 - 7322*x^3 + 4118*x^2 - 1449*x + 248

Placing the root at 1:  250
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8395*x^5 + 10040*x^4 - 8266*x^3 + 4557*x^2 - 1545*x + 250

Placing the root at 2:  485
-95*x^9 + 950*x^8 - 4275*x^7 + 11380*x^6 - 19790*x^5 + 23380*x^4 - 18835*x^3 + 10030*x^2 - 3229*x + 485

Placing the root at 3:  1526
-390*x^9 + 3900*x^8 - 17455*x^7 + 45945*x^6 - 78500*x^5 + 90460*x^4 - 70490*x^3 + 35945*x^2 - 10940*x + 1526

Placing the root at 4:  915
-210*x^9 + 2100*x^8 - 9410*x^7 + 24840*x^6 - 42660*x^5 + 49565*x^4 - 39100*x^3 + 20294*x^2 - 6333*x + 915

Placing the root at 5:  168
-23*x^9 + 230*x^8 - 1035*x^7 + 2760*x^6 - 4830*x^5 + 5796*x^4 - 4823*x^3 + 2725*x^2 - 967*x + 168

Placing the root at 6:  690
-145*x^9 + 1450*x^8 - 6502*x^7 + 17193*x^6 - 29622*x^5 + 34608*x^4 - 27552*x^3 + 14509*x^2 - 4628*x + 690

Placing the root at 0:  220
-35*x^9 + 350*x^8 - 1575*x^7 + 4198*x^6 - 7332*x^5 + 8748*x^4 - 7183*x^3 + 3955*x^2 - 1345*x + 220

Placing the root at 1:  230
-36*x^9 + 360*x^8 - 1620*x^7 + 4320*x^6 - 7556*x^5 + 9040*x^4 - 7452*x^3 + 4121*x^2 - 1406*x + 230

Placing the root at 2:  455
-88*x^9 + 880*x^8 - 3960*x^7 + 10542*x^6 - 18336*x^5 + 21672*x^4 - 17476*x^3 + 9324*x^2 - 3012*x + 455

Placing the root at 3:  1450
-367*x^9 + 3670*x^8 - 16427*x^7 + 43248*x^6 - 73920*x^5 + 85236*x^4 - 66486*x^3 + 33956*x^2 - 10359*x + 1450

Placing the root at 4:  858
-194*x^9 + 1940*x^8 - 8694*x^7 + 22956*x^6 - 39444*x^5 + 45868*x^4 - 36236*x^3 + 18852*x^2 - 5905*x + 858

Placing the root at 5:  203
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6300*x^5 + 7553*x^4 - 6258*x^3 + 3495*x^2 - 1212*x + 203

Placing the root at 6:  788
-173*x^9 + 1730*x^8 - 7755*x^7 + 20490*x^6 - 35250*x^5 + 41076*x^4 - 32557*x^3 + 17022*x^2 - 5370*x + 788

Placing the root at 0:  190
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5878*x^5 + 7040*x^4 - 5824*x^3 + 3249*x^2 - 1128*x + 190

Placing the root at 9:  744
-162*x^9 + 1620*x^8 - 7262*x^7 + 19188*x^6 - 33012*x^5 + 38474*x^4 - 30508*x^3 + 15968*x^2 - 5049*x + 744

Placing the root at 1:  343
-54*x^9 + 540*x^8 - 2430*x^7 + 6480*x^6 - 11334*x^5 + 13560*x^4 - 11178*x^3 + 6181*x^2 - 2107*x + 343

Placing the root at 2:  673
-131*x^9 + 1310*x^8 - 5895*x^7 + 15693*x^6 - 27294*x^5 + 32256*x^4 - 26004*x^3 + 13866*x^2 - 4473*x + 673

Placing the root at 3:  2126
-542*x^9 + 5420*x^8 - 24259*x^7 + 63861*x^6 - 109131*x^5 + 125796*x^4 - 98070*x^3 + 50040*x^2 - 15240*x + 2126

Placing the root at 4:  1269
-289*x^9 + 2890*x^8 - 12951*x^7 + 34194*x^6 - 58746*x^5 + 68298*x^4 - 53934*x^3 + 28038*x^2 - 8768*x + 1269

Placing the root at 5:  404
-67*x^9 + 670*x^8 - 3015*x^7 + 8040*x^6 - 14056*x^5 + 16786*x^4 - 13776*x^3 + 7552*x^2 - 2537*x + 404

Placing the root at 6:  1436
-337*x^9 + 3370*x^8 - 15098*x^7 + 39837*x^6 - 68358*x^5 + 79310*x^4 - 62426*x^3 + 32292*x^2 - 10025*x + 1436

Placing the root at 0:  285
-42*x^9 + 420*x^8 - 1890*x^7 + 5040*x^6 - 8818*x^5 + 10566*x^4 - 8750*x^3 + 4889*x^2 - 1699*x + 285

Placing the root at 8:  589
-111*x^9 + 1110*x^8 - 4995*x^7 + 13299*x^6 - 23142*x^5 + 27384*x^4 - 22136*x^3 + 11864*x^2 - 3861*x + 589

Placing the root at 9:  1918
-478*x^9 + 4780*x^8 - 21399*x^7 + 56361*x^6 - 96405*x^5 + 111300*x^4 - 86982*x^3 + 44548*x^2 - 13642*x + 1918

Placing the root at 1:  197
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6297*x^5 + 7536*x^4 - 6219*x^3 + 3450*x^2 - 1186*x + 197

Placing the root at 2:  400
-76*x^9 + 760*x^8 - 3420*x^7 + 9105*x^6 - 15840*x^5 + 18732*x^4 - 15123*x^3 + 8088*x^2 - 2625*x + 400

Placing the root at 3:  1299
-324*x^9 + 3240*x^8 - 14504*x^7 + 38196*x^6 - 65319*x^5 + 75384*x^4 - 58884*x^3 + 30141*x^2 - 9228*x + 1299

Placing the root at 4:  754
-167*x^9 + 1670*x^8 - 7485*x^7 + 19770*x^6 - 33990*x^5 + 39567*x^4 - 31314*x^3 + 16341*x^2 - 5145*x + 754

Placing the root at 5:  231
-37*x^9 + 370*x^8 - 1665*x^7 + 4440*x^6 - 7763*x^5 + 9275*x^4 - 7623*x^3 + 4195*x^2 - 1422*x + 231

Placing the root at 6:  851
-194*x^9 + 1940*x^8 - 8693*x^7 + 22947*x^6 - 39408*x^5 + 45787*x^4 - 36127*x^3 + 18765*x^2 - 5867*x + 851

Placing the root at 8:  631
-132*x^9 + 1320*x^8 - 5919*x^7 + 15651*x^6 - 26964*x^5 + 31500*x^4 - 25076*x^3 + 13208*x^2 - 4218*x + 631

Placing the root at 0:  153
-21*x^9 + 210*x^8 - 945*x^7 + 2520*x^6 - 4410*x^5 + 5290*x^4 - 4396*x^3 + 2478*x^2 - 878*x + 153

Placing the root at 1:  262
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8396*x^5 + 10048*x^4 - 8292*x^3 + 4600*x^2 - 1581*x + 262

Placing the root at 2:  530
-101*x^9 + 1010*x^8 - 4545*x^7 + 12100*x^6 - 21050*x^5 + 24892*x^4 - 20094*x^3 + 10744*x^2 - 3485*x + 530

Placing the root at 3:  1714
-429*x^9 + 4290*x^8 - 19204*x^7 + 50571*x^6 - 86474*x^5 + 99784*x^4 - 77924*x^3 + 39870*x^2 - 12197*x + 1714

Placing the root at 4:  999
-222*x^9 + 2220*x^8 - 9950*x^7 + 26280*x^6 - 45180*x^5 + 52588*x^4 - 41612*x^3 + 21708*x^2 - 6830*x + 999

Placing the root at 5:  446
-81*x^9 + 810*x^8 - 3645*x^7 + 9706*x^6 - 16898*x^5 + 20020*x^4 - 16226*x^3 + 8742*x^2 - 2873*x + 446

Placing the root at 6:  1506
-365*x^9 + 3650*x^8 - 16344*x^7 + 43071*x^6 - 73748*x^5 + 85288*x^4 - 66836*x^3 + 34378*x^2 - 10599*x + 1506

Placing the root at 0:  204
-28*x^9 + 280*x^8 - 1260*x^7 + 3360*x^6 - 5880*x^5 + 7054*x^4 - 5864*x^3 + 3308*x^2 - 1173*x + 204

Placing the root at 9:  839
-176*x^9 + 1760*x^8 - 7892*x^7 + 20868*x^6 - 35952*x^5 + 42000*x^4 - 33434*x^3 + 17608*x^2 - 5620*x + 839

Placing the root at 1:  149
-22*x^9 + 220*x^8 - 990*x^7 + 2640*x^6 - 4618*x^5 + 5528*x^4 - 4566*x^3 + 2540*x^2 - 880*x + 149

Placing the root at 2:  312
-58*x^9 + 580*x^8 - 2610*x^7 + 6949*x^6 - 12092*x^5 + 14308*x^4 - 11566*x^3 + 6202*x^2 - 2024*x + 312

Placing the root at 3:  1038
-254*x^9 + 2540*x^8 - 11372*x^7 + 29958*x^6 - 51263*x^5 + 59224*x^4 - 46340*x^3 + 23786*x^2 - 7316*x + 1038

Placing the root at 4:  588
-127*x^9 + 1270*x^8 - 5693*x^7 + 15042*x^6 - 25878*x^5 + 30158*x^4 - 23914*x^3 + 12522*x^2 - 3967*x + 588

Placing the root at 5:  252
-44*x^9 + 440*x^8 - 1980*x^7 + 5273*x^6 - 9184*x^5 + 10892*x^4 - 8848*x^3 + 4790*x^2 - 1590*x + 252

Placing the root at 6:  886
-208*x^9 + 2080*x^8 - 9316*x^7 + 24564*x^6 - 42103*x^5 + 48776*x^4 - 38332*x^3 + 19808*x^2 - 6154*x + 886

Placing the root at 7:  474
-95*x^9 + 950*x^8 - 4261*x^7 + 11274*x^6 - 19446*x^5 + 22764*x^4 - 18186*x^3 + 9638*x^2 - 3111*x + 474

Placing the root at 0:  109
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2938*x^3 + 1668*x^2 - 602*x + 109

Placing the root at 1:  1247
-230*x^9 + 2300*x^8 - 10350*x^7 + 27575*x^6 - 48075*x^5 + 57085*x^4 - 46379*x^3 + 25007*x^2 - 8179*x + 1247

Placing the root at 2:  2141
-451*x^9 + 4510*x^8 - 20295*x^7 + 54005*x^6 - 93790*x^5 + 110457*x^4 - 88445*x^3 + 46595*x^2 - 14726*x + 2141

Placing the root at 3:  6233
-1690*x^9 + 16900*x^8 - 75599*x^7 + 198741*x^6 - 338779*x^5 + 388916*x^4 - 301269*x^3 + 152239*x^2 - 45691*x + 6233

Placing the root at 0:  800
-125*x^9 + 1250*x^8 - 5625*x^7 + 15000*x^6 - 26242*x^5 + 31428*x^4 - 25974*x^3 + 14424*x^2 - 4935*x + 800

Placing the root at 1:  796
-144*x^9 + 1440*x^8 - 6480*x^7 + 17265*x^6 - 30105*x^5 + 35763*x^4 - 29087*x^3 + 15721*x^2 - 5168*x + 796

Placing the root at 2:  1397
-290*x^9 + 2900*x^8 - 13050*x^7 + 34728*x^6 - 60324*x^5 + 71079*x^4 - 56973*x^3 + 30075*x^2 - 9541*x + 1397

Placing the root at 3:  4139
-1107*x^9 + 11070*x^8 - 49525*x^7 + 130230*x^6 - 222102*x^5 + 255180*x^4 - 197931*x^3 + 100227*x^2 - 30180*x + 4139

Placing the root at 7:  681
-115*x^9 + 1150*x^8 - 5175*x^7 + 13800*x^6 - 24125*x^5 + 28805*x^4 - 23625*x^3 + 12929*x^2 - 4324*x + 681

Placing the root at 8:  2371
-566*x^9 + 5660*x^8 - 25355*x^7 + 66885*x^6 - 114720*x^5 + 132997*x^4 - 104545*x^3 + 53955*x^2 - 16681*x + 2371

Placing the root at 0:  495
-75*x^9 + 750*x^8 - 3375*x^7 + 9000*x^6 - 15746*x^5 + 18864*x^4 - 15610*x^3 + 8700*x^2 - 3002*x + 495

Placing the root at 1:  607
-106*x^9 + 1060*x^8 - 4770*x^7 + 12710*x^6 - 22170*x^5 + 26362*x^4 - 21490*x^3 + 11672*x^2 - 3874*x + 607

Placing the root at 2:  1104
-224*x^9 + 2240*x^8 - 10080*x^7 + 26827*x^6 - 46616*x^5 + 54974*x^4 - 44142*x^3 + 23380*x^2 - 7462*x + 1104

Placing the root at 3:  3354
-880*x^9 + 8800*x^8 - 39376*x^7 + 103584*x^6 - 176789*x^5 + 203368*x^4 - 158050*x^3 + 80274*x^2 - 24284*x + 3354

Placing the root at 0:  355
-50*x^9 + 500*x^8 - 2250*x^7 + 6000*x^6 - 10500*x^5 + 12596*x^4 - 10468*x^3 + 5896*x^2 - 2078*x + 355

Placing the root at 7:  756
-140*x^9 + 1400*x^8 - 6300*x^7 + 16775*x^6 - 29200*x^5 + 34580*x^4 - 28000*x^3 + 15054*x^2 - 4924*x + 756

Placing the root at 8:  2496
-616*x^9 + 6160*x^8 - 27580*x^7 + 72660*x^6 - 124345*x^5 + 143672*x^4 - 112420*x^3 + 57680*x^2 - 17706*x + 2496

Placing the root at 9:  1422
-305*x^9 + 3050*x^8 - 13675*x^7 + 36150*x^6 - 62250*x^5 + 72660*x^4 - 57754*x^3 + 30332*x^2 - 9629*x + 1422

Placing the root at 1:  345
-58*x^9 + 580*x^8 - 2610*x^7 + 6955*x^6 - 12135*x^5 + 14441*x^4 - 11795*x^3 + 6435*x^2 - 2157*x + 345

Placing the root at 2:  653
-129*x^9 + 1290*x^8 - 5805*x^7 + 15451*x^6 - 26858*x^5 + 31701*x^4 - 25501*x^3 + 13555*x^2 - 4356*x + 653

Placing the root at 3:  2045
-524*x^9 + 5240*x^8 - 23451*x^7 + 61719*x^6 - 105425*x^5 + 121444*x^4 - 94593*x^3 + 48215*x^2 - 14669*x + 2045

Placing the root at 7:  806
-165*x^9 + 1650*x^8 - 7400*x^7 + 19575*x^6 - 33750*x^5 + 39480*x^4 - 31500*x^3 + 16654*x^2 - 5349*x + 806

Placing the root at 0:  190
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5250*x^5 + 6300*x^4 - 5246*x^3 + 2976*x^2 - 1069*x + 190

Placing the root at 1:  301
-54*x^9 + 540*x^8 - 2430*x^7 + 6474*x^6 - 11286*x^5 + 13399*x^4 - 10886*x^3 + 5877*x^2 - 1934*x + 301

Placing the root at 2:  539
-110*x^9 + 1100*x^8 - 4950*x^7 + 13173*x^6 - 22884*x^5 + 26970*x^4 - 21630*x^3 + 11435*x^2 - 3642*x + 539

Placing the root at 3:  1638
-429*x^9 + 4290*x^8 - 19195*x^7 + 50490*x^6 - 86157*x^5 + 99084*x^4 - 76980*x^3 + 39090*x^2 - 11830*x + 1638

Placing the root at 4:  112
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2940*x^3 + 1675*x^2 - 610*x + 112

Placing the root at 5:  496
-98*x^9 + 980*x^8 - 4396*x^7 + 11634*x^6 - 20076*x^5 + 23520*x^4 - 18816*x^3 + 9996*x^2 - 3239*x + 496

Placing the root at 0:  189
-30*x^9 + 300*x^8 - 1350*x^7 + 3598*x^6 - 6282*x^5 + 7489*x^4 - 6140*x^3 + 3375*x^2 - 1148*x + 189

Placing the root at 1:  285
-50*x^9 + 500*x^8 - 2250*x^7 + 5995*x^6 - 10455*x^5 + 12425*x^4 - 10116*x^3 + 5482*x^2 - 1815*x + 285

Placing the root at 2:  520
-105*x^9 + 1050*x^8 - 4725*x^7 + 12575*x^6 - 21850*x^5 + 25765*x^4 - 20685*x^3 + 10955*x^2 - 3499*x + 520

Placing the root at 3:  1596
-415*x^9 + 4150*x^8 - 18570*x^7 + 48855*x^6 - 83395*x^5 + 95960*x^4 - 74615*x^3 + 37935*x^2 - 11500*x + 1596

Placing the root at 4:  142
-19*x^9 + 190*x^8 - 855*x^7 + 2280*x^6 - 3990*x^5 + 4788*x^4 - 3985*x^3 + 2255*x^2 - 805*x + 142

Placing the root at 5:  596
-123*x^9 + 1230*x^8 - 5516*x^7 + 14589*x^6 - 25146*x^5 + 29400*x^4 - 23436*x^3 + 12371*x^2 - 3964*x + 596

Placing the root at 0:  170
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5248*x^5 + 6284*x^4 - 5195*x^3 + 2895*x^2 - 1005*x + 170

Placing the root at 9:  670
-145*x^9 + 1450*x^8 - 6500*x^7 + 17175*x^6 - 29550*x^5 + 34442*x^4 - 27316*x^3 + 14305*x^2 - 4530*x + 670

Placing the root at 1:  452
-80*x^9 + 800*x^8 - 3600*x^7 + 9592*x^6 - 16728*x^5 + 19880*x^4 - 16185*x^3 + 8768*x^2 - 2898*x + 452

Placing the root at 2:  814
-166*x^9 + 1660*x^8 - 7470*x^7 + 19880*x^6 - 34540*x^5 + 40720*x^4 - 32676*x^3 + 17288*x^2 - 5509*x + 814

Placing the root at 3:  2465
-648*x^9 + 6480*x^8 - 28994*x^7 + 76266*x^6 - 130144*x^5 + 149672*x^4 - 116276*x^3 + 59028*x^2 - 17848*x + 2465

Placing the root at 4:  290
-43*x^9 + 430*x^8 - 1935*x^7 + 5160*x^6 - 9030*x^5 + 10826*x^4 - 8970*x^3 + 5010*x^2 - 1737*x + 290

Placing the root at 5:  1120
-247*x^9 + 2470*x^8 - 11072*x^7 + 29253*x^6 - 50322*x^5 + 58632*x^4 - 46462*x^3 + 24282*x^2 - 7653*x + 1120

Placing the root at 0:  272
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8398*x^5 + 10062*x^4 - 8331*x^3 + 4654*x^2 - 1618*x + 272

Placing the root at 8:  564
-106*x^9 + 1060*x^8 - 4770*x^7 + 12700*x^6 - 22100*x^5 + 26152*x^4 - 21142*x^3 + 11334*x^2 - 3691*x + 564

Placing the root at 9:  1843
-458*x^9 + 4580*x^8 - 20504*x^7 + 54006*x^6 - 92384*x^5 + 106672*x^4 - 83384*x^3 + 42722*x^2 - 13092*x + 1843

Placing the root at 1:  258
-44*x^9 + 440*x^8 - 1980*x^7 + 5276*x^6 - 9204*x^5 + 10948*x^4 - 8932*x^3 + 4861*x^2 - 1622*x + 258

Placing the root at 2:  483
-96*x^9 + 960*x^8 - 4320*x^7 + 11498*x^6 - 19984*x^5 + 23580*x^4 - 18956*x^3 + 10064*x^2 - 3228*x + 483

Placing the root at 3:  1506
-387*x^9 + 3870*x^8 - 17319*x^7 + 45576*x^6 - 77836*x^5 + 89636*x^4 - 69786*x^3 + 35548*x^2 - 10807*x + 1506

Placing the root at 4:  167
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6043*x^4 - 5010*x^3 + 2805*x^2 - 980*x + 167

Placing the root at 5:  666
-143*x^9 + 1430*x^8 - 6411*x^7 + 16944*x^6 - 29166*x^5 + 34020*x^4 - 27011*x^3 + 14166*x^2 - 4494*x + 666

Placing the root at 8:  604
-126*x^9 + 1260*x^8 - 5650*x^7 + 14940*x^6 - 25740*x^5 + 30072*x^4 - 23942*x^3 + 12614*x^2 - 4031*x + 604

Placing the root at 0:  146
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5038*x^4 - 4186*x^3 + 2359*x^2 - 836*x + 146

Placing the root at 1:  507
-90*x^9 + 900*x^8 - 4050*x^7 + 10791*x^6 - 18819*x^5 + 22365*x^4 - 18208*x^3 + 9863*x^2 - 3258*x + 507

Placing the root at 2:  909
-186*x^9 + 1860*x^8 - 8370*x^7 + 22275*x^6 - 38700*x^5 + 45621*x^4 - 36603*x^3 + 19359*x^2 - 6164*x + 909

Placing the root at 3:  2740
-723*x^9 + 7230*x^8 - 32349*x^7 + 85086*x^6 - 145179*x^5 + 166932*x^4 - 129645*x^3 + 65781*x^2 - 19872*x + 2740

Placing the root at 4:  434
-72*x^9 + 720*x^8 - 3240*x^7 + 8640*x^6 - 15105*x^5 + 18039*x^4 - 14805*x^3 + 8117*x^2 - 2727*x + 434

Placing the root at 5:  1541
-362*x^9 + 3620*x^8 - 16218*x^7 + 42792*x^6 - 73428*x^5 + 85191*x^4 - 67053*x^3 + 34683*x^2 - 10765*x + 1541

Placing the root at 0:  306
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9448*x^5 + 11322*x^4 - 9379*x^3 + 5244*x^2 - 1824*x + 306

Placing the root at 1:  385
-66*x^9 + 660*x^8 - 2970*x^7 + 7914*x^6 - 13806*x^5 + 16422*x^4 - 13398*x^3 + 7291*x^2 - 2431*x + 385

Placing the root at 2:  715
-143*x^9 + 1430*x^8 - 6435*x^7 + 17127*x^6 - 29766*x^5 + 35118*x^4 - 28224*x^3 + 14976*x^2 - 4797*x + 715

Placing the root at 3:  2210
-572*x^9 + 5720*x^8 - 25597*x^7 + 67353*x^6 - 115005*x^5 + 132396*x^4 - 103020*x^3 + 52428*x^2 - 15912*x + 2210

Placing the root at 4:  330
-53*x^9 + 530*x^8 - 2385*x^7 + 6360*x^6 - 11120*x^5 + 13286*x^4 - 10920*x^3 + 6010*x^2 - 2037*x + 330

Placing the root at 5:  1210
-277*x^9 + 2770*x^8 - 12412*x^7 + 32763*x^6 - 56262*x^5 + 65362*x^4 - 51562*x^3 + 26772*x^2 - 8363*x + 1210

Placing the root at 0:  219
-30*x^9 + 300*x^8 - 1350*x^7 + 3600*x^6 - 6300*x^5 + 7558*x^4 - 6284*x^3 + 3547*x^2 - 1259*x + 219

Placing the root at 7:  479
-87*x^9 + 870*x^8 - 3915*x^7 + 10425*x^6 - 18150*x^5 + 21504*x^4 - 17430*x^3 + 9392*x^2 - 3087*x + 479

Placing the root at 8:  1616
-392*x^9 + 3920*x^8 - 17553*x^7 + 46257*x^6 - 79203*x^5 + 91596*x^4 - 71778*x^3 + 36918*x^2 - 11380*x + 1616

Placing the root at 9:  901
-189*x^9 + 1890*x^8 - 8475*x^7 + 22410*x^6 - 38610*x^5 + 45108*x^4 - 35912*x^3 + 18916*x^2 - 6038*x + 901

Placing the root at 1:  218
-36*x^9 + 360*x^8 - 1620*x^7 + 4317*x^6 - 7533*x^5 + 8967*x^4 - 7329*x^3 + 4005*x^2 - 1348*x + 218

Placing the root at 2:  421
-82*x^9 + 820*x^8 - 3690*x^7 + 9822*x^6 - 17076*x^5 + 20163*x^4 - 16233*x^3 + 8643*x^2 - 2787*x + 421

Placing the root at 3:  1341
-339*x^9 + 3390*x^8 - 15173*x^7 + 39942*x^6 - 68256*x^5 + 78684*x^4 - 61359*x^3 + 31335*x^2 - 9564*x + 1341

Placing the root at 4:  187
-29*x^9 + 290*x^8 - 1305*x^7 + 3480*x^6 - 6085*x^5 + 7273*x^4 - 5985*x^3 + 3305*x^2 - 1130*x + 187

Placing the root at 5:  711
-158*x^9 + 1580*x^8 - 7081*x^7 + 18699*x^6 - 32136*x^5 + 37385*x^4 - 29561*x^3 + 15411*x^2 - 4849*x + 711

Placing the root at 7:  509
-102*x^9 + 1020*x^8 - 4575*x^7 + 12105*x^6 - 20880*x^5 + 24444*x^4 - 19530*x^3 + 10352*x^2 - 3342*x + 509

Placing the root at 0:  117
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3150*x^5 + 3780*x^4 - 3148*x^3 + 1788*x^2 - 646*x + 117

Placing the root at 1:  512
-88*x^9 + 880*x^8 - 3960*x^7 + 10552*x^6 - 18408*x^5 + 21896*x^4 - 17864*x^3 + 9721*x^2 - 3240*x + 512

Placing the root at 2:  947
-190*x^9 + 1900*x^8 - 8550*x^7 + 22756*x^6 - 39548*x^5 + 46656*x^4 - 37492*x^3 + 19888*x^2 - 6366*x + 947

Placing the root at 3:  2914
-757*x^9 + 7570*x^8 - 33875*x^7 + 89130*x^6 - 152174*x^5 + 175156*x^4 - 136254*x^3 + 69308*x^2 - 21017*x + 2914

Placing the root at 4:  637
-116*x^9 + 1160*x^8 - 5220*x^7 + 13900*x^6 - 24200*x^5 + 28672*x^4 - 23240*x^3 + 12522*x^2 - 4114*x + 637

Placing the root at 5:  2140
-521*x^9 + 5210*x^8 - 23329*x^7 + 61476*x^6 - 105254*x^5 + 121708*x^4 - 95354*x^3 + 49024*x^2 - 15099*x + 2140

Placing the root at 0:  292
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8400*x^5 + 10078*x^4 - 8382*x^3 + 4735*x^2 - 1682*x + 292

Placing the root at 1:  290
-48*x^9 + 480*x^8 - 2160*x^7 + 5756*x^6 - 10044*x^5 + 11956*x^4 - 9772*x^3 + 5340*x^2 - 1797*x + 290

Placing the root at 2:  558
-109*x^9 + 1090*x^8 - 4905*x^7 + 13056*x^6 - 22698*x^5 + 26800*x^4 - 21574*x^3 + 11484*x^2 - 3701*x + 558

Placing the root at 3:  1770
-449*x^9 + 4490*x^8 - 20096*x^7 + 52899*x^6 - 90390*x^5 + 104184*x^4 - 81224*x^3 + 41462*x^2 - 12645*x + 1770

Placing the root at 4:  360
-63*x^9 + 630*x^8 - 2835*x^7 + 7550*x^6 - 13150*x^5 + 15596*x^4 - 12670*x^3 + 6860*x^2 - 2277*x + 360

Placing the root at 5:  1260
-297*x^9 + 2970*x^8 - 13302*x^7 + 35073*x^6 - 60112*x^5 + 69632*x^4 - 54712*x^3 + 28262*x^2 - 8773*x + 1260

Placing the root at 8:  677
-136*x^9 + 1360*x^8 - 6100*x^7 + 16140*x^6 - 27840*x^5 + 32592*x^4 - 26040*x^3 + 13802*x^2 - 4454*x + 677

Placing the root at 0:  156
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5040*x^4 - 4198*x^3 + 2386*x^2 - 863*x + 156

Placing the root at 1:  163
-26*x^9 + 260*x^8 - 1170*x^7 + 3118*x^6 - 5442*x^5 + 6482*x^4 - 5306*x^3 + 2910*x^2 - 988*x + 163

Placing the root at 2:  326
-62*x^9 + 620*x^8 - 2790*x^7 + 7427*x^6 - 12916*x^5 + 15262*x^4 - 12306*x^3 + 6572*x^2 - 2132*x + 326

Placing the root at 3:  1066
-264*x^9 + 2640*x^8 - 11818*x^7 + 31122*x^6 - 53221*x^5 + 61424*x^4 - 47990*x^3 + 24582*x^2 - 7540*x + 1066

Placing the root at 4:  202
-34*x^9 + 340*x^8 - 1530*x^7 + 4075*x^6 - 7100*x^5 + 8428*x^4 - 6860*x^3 + 3730*x^2 - 1250*x + 202

Placing the root at 5:  736
-168*x^9 + 1680*x^8 - 7526*x^7 + 19854*x^6 - 34061*x^5 + 39520*x^4 - 31136*x^3 + 16156*x^2 - 5054*x + 736

Placing the root at 6:  380
-73*x^9 + 730*x^8 - 3275*x^7 + 8670*x^6 - 14970*x^5 + 17556*x^4 - 14070*x^3 + 7500*x^2 - 2447*x + 380

Placing the root at 0:  83
-10*x^9 + 100*x^8 - 450*x^7 + 1200*x^6 - 2100*x^5 + 2520*x^4 - 2100*x^3 + 1198*x^2 - 440*x + 83

Placing the root at 1:  44
-5*x^9 + 50*x^8 - 225*x^7 + 600*x^6 - 1050*x^5 + 1260*x^4 - 1050*x^3 + 600*x^2 - 223*x + 44

Placing the root at 2:  212
-39*x^9 + 390*x^8 - 1750*x^7 + 4635*x^6 - 8010*x^5 + 9408*x^4 - 7560*x^3 + 4050*x^2 - 1335*x + 212

Placing the root at 0:  91
-14*x^9 + 140*x^8 - 630*x^7 + 1679*x^6 - 2931*x^5 + 3493*x^4 - 2863*x^3 + 1575*x^2 - 539*x + 91

Placing the root at 8:  189
-35*x^9 + 350*x^8 - 1575*x^7 + 4193*x^6 - 7294*x^5 + 8625*x^4 - 6965*x^3 + 3731*x^2 - 1218*x + 189

Placing the root at 9:  637
-154*x^9 + 1540*x^8 - 6895*x^7 + 18165*x^6 - 31087*x^5 + 35924*x^4 - 28125*x^3 + 14455*x^2 - 4459*x + 637

Placing the root at 1:  73
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1890*x^3 + 1077*x^2 - 393*x + 73

Placing the root at 2:  328
-64*x^9 + 640*x^8 - 2871*x^7 + 7599*x^6 - 13116*x^5 + 15372*x^4 - 12306*x^3 + 6546*x^2 - 2127*x + 328

Placing the root at 7:  164
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5664*x^5 + 6762*x^4 - 5545*x^3 + 3036*x^2 - 1020*x + 164

Placing the root at 8:  593
-137*x^9 + 1370*x^8 - 6138*x^7 + 16197*x^6 - 27798*x^5 + 32262*x^4 - 25410*x^3 + 13163*x^2 - 4101*x + 593

Placing the root at 0:  117
-18*x^9 + 180*x^8 - 810*x^7 + 2159*x^6 - 3771*x^5 + 4500*x^4 - 3697*x^3 + 2040*x^2 - 699*x + 117

Placing the root at 1:  58
-7*x^9 + 70*x^8 - 315*x^7 + 840*x^6 - 1470*x^5 + 1764*x^4 - 1470*x^3 + 838*x^2 - 307*x + 58

Placing the root at 2:  266
-51*x^9 + 510*x^8 - 2288*x^7 + 6057*x^6 - 10458*x^5 + 12264*x^4 - 9828*x^3 + 5238*x^2 - 1709*x + 266

Placing the root at 0:  84
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2519*x^5 + 3016*x^4 - 2493*x^3 + 1390*x^2 - 485*x + 84

Placing the root at 7:  182
-33*x^9 + 330*x^8 - 1485*x^7 + 3954*x^6 - 6882*x^5 + 8148*x^4 - 6595*x^3 + 3546*x^2 - 1164*x + 182

Placing the root at 8:  623
-149*x^9 + 1490*x^8 - 6672*x^7 + 17583*x^6 - 30108*x^5 + 34824*x^4 - 27300*x^3 + 14057*x^2 - 4347*x + 623

Placing the root at 9:  343
-72*x^9 + 720*x^8 - 3228*x^7 + 8532*x^6 - 14688*x^5 + 17137*x^4 - 13616*x^3 + 7155*x^2 - 2282*x + 343

Placing the root at 1:  104
-14*x^9 + 140*x^8 - 630*x^7 + 1680*x^6 - 2940*x^5 + 3528*x^4 - 2936*x^3 + 1660*x^2 - 591*x + 104

Placing the root at 2:  435
-90*x^9 + 900*x^8 - 4036*x^7 + 10674*x^6 - 18396*x^5 + 21504*x^4 - 17136*x^3 + 9040*x^2 - 2894*x + 435

Placing the root at 6:  135
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5035*x^4 - 4170*x^3 + 2326*x^2 - 805*x + 135

Placing the root at 7:  525
-115*x^9 + 1150*x^8 - 5155*x^7 + 13620*x^6 - 23430*x^5 + 27300*x^4 - 21635*x^3 + 11310*x^2 - 3569*x + 525

Placing the root at 0:  130
-20*x^9 + 200*x^8 - 900*x^7 + 2399*x^6 - 4191*x^5 + 5004*x^4 - 4116*x^3 + 2275*x^2 - 780*x + 130

Placing the root at 1:  91
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3024*x^4 - 2517*x^3 + 1425*x^2 - 510*x + 91

Placing the root at 2:  388
-79*x^9 + 790*x^8 - 3543*x^7 + 9372*x^6 - 16158*x^5 + 18900*x^4 - 15078*x^3 + 7971*x^2 - 2562*x + 388

Placing the root at 6:  155
-25*x^9 + 250*x^8 - 1125*x^7 + 3000*x^6 - 5245*x^5 + 6265*x^4 - 5145*x^3 + 2826*x^2 - 955*x + 155

Placing the root at 7:  570
-130*x^9 + 1300*x^8 - 5825*x^7 + 15375*x^6 - 26400*x^5 + 30665*x^4 - 24185*x^3 + 12555*x^2 - 3924*x + 570

Placing the root at 0:  105
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3149*x^5 + 3772*x^4 - 3122*x^3 + 1745*x^2 - 610*x + 105

Placing the root at 9:  425
-90*x^9 + 900*x^8 - 4035*x^7 + 10665*x^6 - 18360*x^5 + 21421*x^4 - 17018*x^3 + 8938*x^2 - 2845*x + 425

Placing the root at 1:  121
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4032*x^4 - 3356*x^3 + 1900*x^2 - 680*x + 121

Placing the root at 2:  514
-105*x^9 + 1050*x^8 - 4709*x^7 + 12456*x^6 - 21474*x^5 + 25116*x^4 - 20034*x^3 + 10588*x^2 - 3401*x + 514

Placing the root at 6:  300
-55*x^9 + 550*x^8 - 2475*x^7 + 6590*x^6 - 11470*x^5 + 13580*x^4 - 10991*x^3 + 5907*x^2 - 1935*x + 300

Placing the root at 7:  1010
-245*x^9 + 2450*x^8 - 10970*x^7 + 28905*x^6 - 49480*x^5 + 57200*x^4 - 44800*x^3 + 23029*x^2 - 7098*x + 1010

Placing the root at 0:  140
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4199*x^5 + 5031*x^4 - 4166*x^3 + 2330*x^2 - 815*x + 140

Placing the root at 1:  70
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1888*x^3 + 1070*x^2 - 385*x + 70

Placing the root at 2:  306
-61*x^9 + 610*x^8 - 2736*x^7 + 7239*x^6 - 12486*x^5 + 14616*x^4 - 11676*x^3 + 6188*x^2 - 1999*x + 306

Placing the root at 6:  170
-30*x^9 + 300*x^8 - 1350*x^7 + 3595*x^6 - 6260*x^5 + 7420*x^4 - 6020*x^3 + 3251*x^2 - 1075*x + 170

Placing the root at 7:  595
-140*x^9 + 1400*x^8 - 6270*x^7 + 16530*x^6 - 28325*x^5 + 32800*x^4 - 25760*x^3 + 13300*x^2 - 4129*x + 595

Placing the root at 8:  320
-65*x^9 + 650*x^8 - 2915*x^7 + 7710*x^6 - 13290*x^5 + 15540*x^4 - 12391*x^3 + 6547*x^2 - 2105*x + 320

Placing the root at 0:  75
-10*x^9 + 100*x^8 - 450*x^7 + 1200*x^6 - 2100*x^5 + 2519*x^4 - 2093*x^3 + 1180*x^2 - 420*x + 75

Placing the root at 1:  40
-5*x^9 + 50*x^8 - 225*x^7 + 600*x^6 - 1050*x^5 + 1260*x^4 - 1049*x^3 + 595*x^2 - 215*x + 40

Placing the root at 2:  180
-35*x^9 + 350*x^8 - 1570*x^7 + 4155*x^6 - 7170*x^5 + 8400*x^4 - 6720*x^3 + 3571*x^2 - 1160*x + 180

Placing the root at 1:  124
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4532*x^4 - 3756*x^3 + 2100*x^2 - 731*x + 124

Placing the root at 2:  491
-106*x^9 + 1060*x^8 - 4752*x^7 + 12558*x^6 - 21612*x^5 + 25200*x^4 - 19996*x^3 + 10476*x^2 - 3318*x + 491

Placing the root at 0:  112
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3359*x^5 + 4024*x^4 - 3332*x^3 + 1864*x^2 - 652*x + 112

Placing the root at 9:  452
-96*x^9 + 960*x^8 - 4304*x^7 + 11376*x^6 - 19584*x^5 + 22849*x^4 - 18152*x^3 + 9532*x^2 - 3032*x + 452

Placing the root at 1:  185
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5670*x^5 + 6798*x^4 - 5634*x^3 + 3150*x^2 - 1096*x + 185

Placing the root at 2:  727
-158*x^9 + 1580*x^8 - 7083*x^7 + 18717*x^6 - 32208*x^5 + 37548*x^4 - 29784*x^3 + 15594*x^2 - 4932*x + 727

Placing the root at 5:  246
-40*x^9 + 400*x^8 - 1800*x^7 + 4800*x^6 - 8392*x^5 + 10024*x^4 - 8232*x^3 + 4521*x^2 - 1526*x + 246

Placing the root at 6:  894
-206*x^9 + 2060*x^8 - 9230*x^7 + 24360*x^6 - 41820*x^5 + 48560*x^4 - 38276*x^3 + 19848*x^2 - 6189*x + 894

Placing the root at 0:  168
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5039*x^5 + 6039*x^4 - 5005*x^3 + 2804*x^2 - 982*x + 168

Placing the root at 8:  358
-66*x^9 + 660*x^8 - 2970*x^7 + 7908*x^6 - 13764*x^5 + 16296*x^4 - 13189*x^3 + 7087*x^2 - 2319*x + 358

Placing the root at 9:  1195
-292*x^9 + 2920*x^8 - 13074*x^7 + 34446*x^6 - 58956*x^5 + 68136*x^4 - 53340*x^3 + 27395*x^2 - 8429*x + 1195

Placing the root at 1:  106
-15*x^9 + 150*x^8 - 675*x^7 + 1800*x^6 - 3150*x^5 + 3777*x^4 - 3132*x^3 + 1755*x^2 - 615*x + 106

Placing the root at 2:  430
-91*x^9 + 910*x^8 - 4080*x^7 + 10785*x^6 - 18570*x^5 + 21672*x^4 - 17223*x^3 + 9048*x^2 - 2880*x + 430

Placing the root at 5:  140
-22*x^9 + 220*x^8 - 990*x^7 + 2640*x^6 - 4616*x^5 + 5516*x^4 - 4536*x^3 + 2500*x^2 - 851*x + 140

Placing the root at 6:  527
-118*x^9 + 1180*x^8 - 5288*x^7 + 13962*x^6 - 23988*x^5 + 27892*x^4 - 22036*x^3 + 11472*x^2 - 3602*x + 527

Placing the root at 8:  382
-78*x^9 + 780*x^8 - 3498*x^7 + 9252*x^6 - 15948*x^5 + 18648*x^4 - 14869*x^3 + 7855*x^2 - 2523*x + 382

Placing the root at 0:  90
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3023*x^4 - 2513*x^3 + 1419*x^2 - 506*x + 90

Placing the root at 1:  141
-20*x^9 + 200*x^8 - 900*x^7 + 2400*x^6 - 4200*x^5 + 5036*x^4 - 4176*x^3 + 2340*x^2 - 820*x + 141

Placing the root at 2:  570
-121*x^9 + 1210*x^8 - 5425*x^7 + 14340*x^6 - 24690*x^5 + 28812*x^4 - 22894*x^3 + 12024*x^2 - 3825*x + 570

Placing the root at 5:  270
-48*x^9 + 480*x^8 - 2160*x^7 + 5752*x^6 - 10016*x^5 + 11872*x^4 - 9632*x^3 + 5201*x^2 - 1718*x + 270

Placing the root at 6:  934
-222*x^9 + 2220*x^8 - 9942*x^7 + 26208*x^6 - 44900*x^5 + 51976*x^4 - 40796*x^3 + 21040*x^2 - 6517*x + 934

Placing the root at 0:  120
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4031*x^4 - 3352*x^3 + 1894*x^2 - 676*x + 120

Placing the root at 9:  508
-104*x^9 + 1040*x^8 - 4664*x^7 + 12336*x^6 - 21264*x^5 + 24864*x^4 - 19825*x^3 + 10472*x^2 - 3362*x + 508

Placing the root at 1:  80
-11*x^9 + 110*x^8 - 495*x^7 + 1320*x^6 - 2310*x^5 + 2770*x^4 - 2298*x^3 + 1290*x^2 - 455*x + 80

Placing the root at 2:  334
-69*x^9 + 690*x^8 - 3094*x^7 + 8181*x^6 - 14094*x^5 + 16464*x^4 - 13106*x^3 + 6906*x^2 - 2211*x + 334

Placing the root at 5:  152
-26*x^9 + 260*x^8 - 1170*x^7 + 3116*x^6 - 5428*x^5 + 6440*x^4 - 5236*x^3 + 2840*x^2 - 947*x + 152

Placing the root at 6:  547
-126*x^9 + 1260*x^8 - 5644*x^7 + 14886*x^6 - 25528*x^5 + 29600*x^4 - 23296*x^3 + 12068*x^2 - 3766*x + 547

Placing the root at 7:  286
-56*x^9 + 560*x^8 - 2512*x^7 + 6648*x^6 - 11472*x^5 + 13440*x^4 - 10752*x^3 + 5713*x^2 - 1854*x + 286

Placing the root at 0:  64
-8*x^9 + 80*x^8 - 360*x^7 + 960*x^6 - 1680*x^5 + 2016*x^4 - 1679*x^3 + 954*x^2 - 346*x + 64

Placing the root at 1:  45
-6*x^9 + 60*x^8 - 270*x^7 + 720*x^6 - 1260*x^5 + 1511*x^4 - 1254*x^3 + 705*x^2 - 250*x + 45

Placing the root at 2:  194
-39*x^9 + 390*x^8 - 1749*x^7 + 4626*x^6 - 7974*x^5 + 9324*x^4 - 7435*x^3 + 3930*x^2 - 1266*x + 194

Placing the root at 5:  160
-30*x^9 + 300*x^8 - 1346*x^7 + 3564*x^6 - 6156*x^5 + 7224*x^4 - 5796*x^3 + 3096*x^2 - 1015*x + 160

Placing the root at 0:  34
-4*x^9 + 40*x^8 - 180*x^7 + 480*x^6 - 840*x^5 + 1008*x^4 - 840*x^3 + 479*x^2 - 176*x + 34

Placing the root at 1:  276
-45*x^9 + 450*x^8 - 2025*x^7 + 5400*x^6 - 9441*x^5 + 11277*x^4 - 9261*x^3 + 5086*x^2 - 1716*x + 276

Placing the root at 2:  999
-231*x^9 + 2310*x^8 - 10350*x^7 + 27315*x^6 - 46890*x^5 + 54441*x^4 - 42903*x^3 + 22239*x^2 - 6929*x + 999

Placing the root at 0:  189
-27*x^9 + 270*x^8 - 1215*x^7 + 3240*x^6 - 5669*x^5 + 6795*x^4 - 5634*x^3 + 3159*x^2 - 1107*x + 189

Placing the root at 1:  209
-33*x^9 + 330*x^8 - 1485*x^7 + 3960*x^6 - 6924*x^5 + 8274*x^4 - 6804*x^3 + 3750*x^2 - 1276*x + 209

Placing the root at 2:  781
-176*x^9 + 1760*x^8 - 7887*x^7 + 20823*x^6 - 35772*x^5 + 41586*x^4 - 32844*x^3 + 17088*x^2 - 5358*x + 781

Placing the root at 0:  135
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3780*x^5 + 4535*x^4 - 3772*x^3 + 2133*x^2 - 762*x + 135

Placing the root at 7:  303
-54*x^9 + 540*x^8 - 2430*x^7 + 6471*x^6 - 11268*x^5 + 13356*x^4 - 10836*x^3 + 5851*x^2 - 1932*x + 303

Placing the root at 8:  1044
-249*x^9 + 2490*x^8 - 11151*x^7 + 29394*x^6 - 50355*x^5 + 58284*x^4 - 45738*x^3 + 23580*x^2 - 7298*x + 1044

Placing the root at 9:  570
-117*x^9 + 1170*x^8 - 5247*x^7 + 13878*x^6 - 23922*x^5 + 27972*x^4 - 22303*x^3 + 11780*x^2 - 3780*x + 570

Placing the root at 1:  118
-18*x^9 + 180*x^8 - 810*x^7 + 2160*x^6 - 3777*x^5 + 4515*x^4 - 3717*x^3 + 2055*x^2 - 705*x + 118

Placing the root at 2:  457
-100*x^9 + 1000*x^8 - 4482*x^7 + 11838*x^6 - 20352*x^5 + 23691*x^4 - 18753*x^3 + 9795*x^2 - 3093*x + 457

Placing the root at 7:  321
-63*x^9 + 630*x^8 - 2826*x^7 + 7479*x^6 - 12906*x^5 + 15120*x^4 - 12096*x^3 + 6427*x^2 - 2085*x + 321

Placing the root at 0:  72
-9*x^9 + 90*x^8 - 405*x^7 + 1080*x^6 - 1890*x^5 + 2268*x^4 - 1889*x^3 + 1074*x^2 - 390*x + 72

Placing the root at 1:  278
-44*x^9 + 440*x^8 - 1980*x^7 + 5280*x^6 - 9232*x^5 + 11032*x^4 - 9072*x^3 + 5000*x^2 - 1701*x + 278

Placing the root at 2:  1035
-234*x^9 + 2340*x^8 - 10486*x^7 + 27684*x^6 - 47556*x^5 + 55280*x^4 - 43652*x^3 + 22704*x^2 - 7114*x + 1035

Placing the root at 4:  403
-72*x^9 + 720*x^8 - 3240*x^7 + 8628*x^6 - 15024*x^5 + 17808*x^4 - 14448*x^3 + 7801*x^2 - 2575*x + 403

Placing the root at 5:  1383
-331*x^9 + 3310*x^8 - 14823*x^7 + 39072*x^6 - 66930*x^5 + 77460*x^4 - 60774*x^3 + 31320*x^2 - 9686*x + 1383

Placing the root at 0:  180
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5040*x^5 + 6047*x^4 - 5031*x^3 + 2847*x^2 - 1018*x + 180

Placing the root at 1:  157
-24*x^9 + 240*x^8 - 1080*x^7 + 2880*x^6 - 5036*x^5 + 6020*x^4 - 4956*x^3 + 2740*x^2 - 940*x + 157

Placing the root at 2:  606
-133*x^9 + 1330*x^8 - 5961*x^7 + 15744*x^6 - 27066*x^5 + 31504*x^4 - 24934*x^3 + 13020*x^2 - 4109*x + 606

Placing the root at 4:  227
-39*x^9 + 390*x^8 - 1755*x^7 + 4674*x^6 - 8142*x^5 + 9660*x^4 - 7854*x^3 + 4260*x^2 - 1420*x + 227

Placing the root at 5:  811
-188*x^9 + 1880*x^8 - 8421*x^7 + 22209*x^6 - 38082*x^5 + 44148*x^4 - 34734*x^3 + 17982*x^2 - 5604*x + 811

Placing the root at 8:  427
-84*x^9 + 840*x^8 - 3768*x^7 + 9972*x^6 - 17208*x^5 + 20160*x^4 - 16128*x^3 + 8569*x^2 - 2779*x + 427

Placing the root at 0:  96
-12*x^9 + 120*x^8 - 540*x^7 + 1440*x^6 - 2520*x^5 + 3024*x^4 - 2519*x^3 + 1433*x^2 - 521*x + 96

Placing the root at 1:  88
-13*x^9 + 130*x^8 - 585*x^7 + 1560*x^6 - 2728*x^5 + 3262*x^4 - 2688*x^3 + 1490*x^2 - 515*x + 88

Placing the root at 2:  352
-75*x^9 + 750*x^8 - 3362*x^7 + 8883*x^6 - 15282*x^5 + 17810*x^4 - 14126*x^3 + 7404*x^2 - 2353*x + 352

Placing the root at 4:  127
-21*x^9 + 210*x^8 - 945*x^7 + 2517*x^6 - 4386*x^5 + 5208*x^4 - 4242*x^3 + 2310*x^2 - 777*x + 127

Placing the root at 5:  472
-106*x^9 + 1060*x^8 - 4749*x^7 + 12531*x^6 - 21507*x^5 + 24972*x^4 - 19698*x^3 + 10242*x^2 - 3216*x + 472

Placing the root at 6:  239
-45*x^9 + 450*x^8 - 2019*x^7 + 5346*x^6 - 9234*x^5 + 10836*x^4 - 8694*x^3 + 4644*x^2 - 1522*x + 239

Placing the root at 0:  51
-6*x^9 + 60*x^8 - 270*x^7 + 720*x^6 - 1260*x^5 + 1512*x^4 - 1260*x^3 + 719*x^2 - 265*x + 51

Placing the root at 1:  49
-7*x^9 + 70*x^8 - 315*x^7 + 840*x^6 - 1469*x^5 + 1757*x^4 - 1449*x^3 + 805*x^2 - 280*x + 49

Placing the root at 2:  203
-42*x^9 + 420*x^8 - 1883*x^7 + 4977*x^6 - 8568*x^5 + 9997*x^4 - 7945*x^3 + 4179*x^2 - 1337*x + 203

Placing the root at 4:  133
-24*x^9 + 240*x^8 - 1077*x^7 + 2853*x^6 - 4932*x^5 + 5796*x^4 - 4662*x^3 + 2502*x^2 - 828*x + 133

Placing the root at 0:  27
-3*x^9 + 30*x^8 - 135*x^7 + 360*x^6 - 630*x^5 + 756*x^4 - 630*x^3 + 360*x^2 - 134*x + 27

Placing the root at 1:  302
-52*x^9 + 520*x^8 - 2340*x^7 + 6232*x^6 - 10856*x^5 + 12880*x^4 - 10472*x^3 + 5680*x^2 - 1893*x + 302

Placing the root at 2:  1075
-250*x^9 + 2500*x^8 - 11198*x^7 + 29532*x^6 - 50636*x^5 + 58696*x^4 - 46172*x^3 + 23896*x^2 - 7442*x + 1075

Placing the root at 0:  128
-16*x^9 + 160*x^8 - 720*x^7 + 1920*x^6 - 3360*x^5 + 4032*x^4 - 3359*x^3 + 1912*x^2 - 696*x + 128

Placing the root at 9:  568
-112*x^9 + 1120*x^8 - 5024*x^7 + 13296*x^6 - 22944*x^5 + 26880*x^4 - 21504*x^3 + 11425*x^2 - 3704*x + 568

Placing the root at 1:  169
-28*x^9 + 280*x^8 - 1260*x^7 + 3356*x^6 - 5848*x^5 + 6944*x^4 - 5656*x^3 + 3080*x^2 - 1036*x + 169

Placing the root at 2:  626
-141*x^9 + 1410*x^8 - 6317*x^7 + 16668*x^6 - 28606*x^5 + 33212*x^4 - 26194*x^3 + 13616*x^2 - 4273*x + 626

Placing the root at 7:  318
-60*x^9 + 600*x^8 - 2692*x^7 + 7128*x^6 - 12312*x^5 + 14448*x^4 - 11592*x^3 + 6192*x^2 - 2029*x + 318

Placing the root at 0:  68
-8*x^9 + 80*x^8 - 360*x^7 + 960*x^6 - 1680*x^5 + 2016*x^4 - 1680*x^3 + 959*x^2 - 354*x + 68

Placing the root at 1:  94
-15*x^9 + 150*x^8 - 675*x^7 + 1798*x^6 - 3134*x^5 + 3724*x^4 - 3038*x^3 + 1660*x^2 - 563*x + 94

Placing the root at 2:  362
-79*x^9 + 790*x^8 - 3540*x^7 + 9345*x^6 - 16052*x^5 + 18664*x^4 - 14756*x^3 + 7702*x^2 - 2435*x + 362

Placing the root at 5:  177
-32*x^9 + 320*x^8 - 1436*x^7 + 3804*x^6 - 6576*x^5 + 7728*x^4 - 6216*x^3 + 3336*x^2 - 1104*x + 177

Placing the root at 0:  36
-4*x^9 + 40*x^8 - 180*x^7 + 480*x^6 - 840*x^5 + 1008*x^4 - 840*x^3 + 480*x^2 - 179*x + 36

Placing the root at 1:  52
-8*x^9 + 80*x^8 - 360*x^7 + 959*x^6 - 1672*x^5 + 1988*x^4 - 1624*x^3 + 890*x^2 - 304*x + 52

Placing the root at 2:  208
-44*x^9 + 440*x^8 - 1972*x^7 + 5208*x^6 - 8953*x^5 + 10424*x^4 - 8260*x^3 + 4328*x^2 - 1378*x + 208

Placing the root at 3:  98
-17*x^9 + 170*x^8 - 763*x^7 + 2022*x^6 - 3498*x^5 + 4116*x^4 - 3318*x^3 + 1788*x^2 - 597*x + 98

Placing the root at 0:  19
-2*x^9 + 20*x^8 - 90*x^7 + 240*x^6 - 420*x^5 + 504*x^4 - 420*x^3 + 240*x^2 - 90*x + 19

Placing the root at 1:  54
-9*x^9 + 90*x^8 - 404*x^7 + 1071*x^6 - 1854*x^5 + 2184*x^4 - 1764*x^3 + 954*x^2 - 321*x + 54

Placing the root at 0:  10
-x^9 + 10*x^8 - 45*x^7 + 120*x^6 - 210*x^5 + 252*x^4 - 210*x^3 + 120*x^2 - 45*x + 10

CPU time: 61.16 s,  Wall time: 69.46 s