Real regular solid harmonics $R_{\ell m}(x,y,z)$

$\ell$

$m$

$R_{\ell m}(x,y,z)$

0

0:

1

0:

z

1

1:

x

1

-1:

y

2

0:

-1/2*x^2 - 1/2*y^2 + z^2

2

1:

3*x*z

2

-1:

3*y*z

2

2:

3*x^2 - 3*y^2

2

-2:

6*x*y

3

0:

-3/2*x^2*z - 3/2*y^2*z + z^3

3

1:

-3/2*x^3 - 3/2*x*y^2 + 6*x*z^2

3

-1:

-3/2*x^2*y - 3/2*y^3 + 6*y*z^2

3

2:

15*x^2*z - 15*y^2*z

3

-2:

30*x*y*z

3

3:

15*x^3 - 45*x*y^2

3

-3:

45*x^2*y - 15*y^3

4

0:

3/8*x^4 + 3/4*x^2*y^2 + 3/8*y^4 - 3*x^2*z^2 - 3*y^2*z^2 + z^4

4

1:

-15/2*x^3*z - 15/2*x*y^2*z + 10*x*z^3

4

-1:

-15/2*x^2*y*z - 15/2*y^3*z + 10*y*z^3

4

2:

-15/2*x^4 + 15/2*y^4 + 45*x^2*z^2 - 45*y^2*z^2

4

-2:

-15*x^3*y - 15*x*y^3 + 90*x*y*z^2

4

3:

105*x^3*z - 315*x*y^2*z

4

-3:

315*x^2*y*z - 105*y^3*z

4

4:

105*x^4 - 630*x^2*y^2 + 105*y^4

4

-4:

420*x^3*y - 420*x*y^3

5

0:

15/8*x^4*z + 15/4*x^2*y^2*z + 15/8*y^4*z - 5*x^2*z^3 - 5*y^2*z^3 + z^5

5

1:

15/8*x^5 + 15/4*x^3*y^2 + 15/8*x*y^4 - 45/2*x^3*z^2 - 45/2*x*y^2*z^2 + 15*x*z^4

5

-1:

15/8*x^4*y + 15/4*x^2*y^3 + 15/8*y^5 - 45/2*x^2*y*z^2 - 45/2*y^3*z^2 + 15*y*z^4

5

2:

-105/2*x^4*z + 105/2*y^4*z + 105*x^2*z^3 - 105*y^2*z^3

5

-2:

-105*x^3*y*z - 105*x*y^3*z + 210*x*y*z^3

5

3:

-105/2*x^5 + 105*x^3*y^2 + 315/2*x*y^4 + 420*x^3*z^2 - 1260*x*y^2*z^2

5

-3:

-315/2*x^4*y - 105*x^2*y^3 + 105/2*y^5 + 1260*x^2*y*z^2 - 420*y^3*z^2

5

4:

945*x^4*z - 5670*x^2*y^2*z + 945*y^4*z

5

-4:

3780*x^3*y*z - 3780*x*y^3*z

5

5:

945*x^5 - 9450*x^3*y^2 + 4725*x*y^4

5

-5:

4725*x^4*y - 9450*x^2*y^3 + 945*y^5

6

0:

-5/16*x^6 - 15/16*x^4*y^2 - 15/16*x^2*y^4 - 5/16*y^6 + 45/8*x^4*z^2 + 45/4*x^2*y^2*z^2 + 45/8*y^4*z^2 - 15/2*x^2*z^4 - 15/2*y^2*z^4 + z^6

6

1:

105/8*x^5*z + 105/4*x^3*y^2*z + 105/8*x*y^4*z - 105/2*x^3*z^3 - 105/2*x*y^2*z^3 + 21*x*z^5

6

-1:

105/8*x^4*y*z + 105/4*x^2*y^3*z + 105/8*y^5*z - 105/2*x^2*y*z^3 - 105/2*y^3*z^3 + 21*y*z^5

6

2:

105/8*x^6 + 105/8*x^4*y^2 - 105/8*x^2*y^4 - 105/8*y^6 - 210*x^4*z^2 + 210*y^4*z^2 + 210*x^2*z^4 - 210*y^2*z^4

6

-2:

105/4*x^5*y + 105/2*x^3*y^3 + 105/4*x*y^5 - 420*x^3*y*z^2 - 420*x*y^3*z^2 + 420*x*y*z^4

6

3:

-945/2*x^5*z + 945*x^3*y^2*z + 2835/2*x*y^4*z + 1260*x^3*z^3 - 3780*x*y^2*z^3

6

-3:

-2835/2*x^4*y*z - 945*x^2*y^3*z + 945/2*y^5*z + 3780*x^2*y*z^3 - 1260*y^3*z^3

6

4:

-945/2*x^6 + 4725/2*x^4*y^2 + 4725/2*x^2*y^4 - 945/2*y^6 + 4725*x^4*z^2 - 28350*x^2*y^2*z^2 + 4725*y^4*z^2

6

-4:

-1890*x^5*y + 1890*x*y^5 + 18900*x^3*y*z^2 - 18900*x*y^3*z^2

6

5:

10395*x^5*z - 103950*x^3*y^2*z + 51975*x*y^4*z

6

-5:

51975*x^4*y*z - 103950*x^2*y^3*z + 10395*y^5*z

6

6:

10395*x^6 - 155925*x^4*y^2 + 155925*x^2*y^4 - 10395*y^6

6

-6:

62370*x^5*y - 207900*x^3*y^3 + 62370*x*y^5

7

0:

-35/16*x^6*z - 105/16*x^4*y^2*z - 105/16*x^2*y^4*z - 35/16*y^6*z + 105/8*x^4*z^3 + 105/4*x^2*y^2*z^3 + 105/8*y^4*z^3 - 21/2*x^2*z^5 - 21/2*y^2*z^5 + z^7

7

1:

-35/16*x^7 - 105/16*x^5*y^2 - 105/16*x^3*y^4 - 35/16*x*y^6 + 105/2*x^5*z^2 + 105*x^3*y^2*z^2 + 105/2*x*y^4*z^2 - 105*x^3*z^4 - 105*x*y^2*z^4 + 28*x*z^6

7

-1:

-35/16*x^6*y - 105/16*x^4*y^3 - 105/16*x^2*y^5 - 35/16*y^7 + 105/2*x^4*y*z^2 + 105*x^2*y^3*z^2 + 105/2*y^5*z^2 - 105*x^2*y*z^4 - 105*y^3*z^4 + 28*y*z^6

7

2:

945/8*x^6*z + 945/8*x^4*y^2*z - 945/8*x^2*y^4*z - 945/8*y^6*z - 630*x^4*z^3 + 630*y^4*z^3 + 378*x^2*z^5 - 378*y^2*z^5

7

-2:

945/4*x^5*y*z + 945/2*x^3*y^3*z + 945/4*x*y^5*z - 1260*x^3*y*z^3 - 1260*x*y^3*z^3 + 756*x*y*z^5

7

3:

945/8*x^7 - 945/8*x^5*y^2 - 4725/8*x^3*y^4 - 2835/8*x*y^6 - 4725/2*x^5*z^2 + 4725*x^3*y^2*z^2 + 14175/2*x*y^4*z^2 + 3150*x^3*z^4 - 9450*x*y^2*z^4

7

-3:

2835/8*x^6*y + 4725/8*x^4*y^3 + 945/8*x^2*y^5 - 945/8*y^7 - 14175/2*x^4*y*z^2 - 4725*x^2*y^3*z^2 + 4725/2*y^5*z^2 + 9450*x^2*y*z^4 - 3150*y^3*z^4

7

4:

-10395/2*x^6*z + 51975/2*x^4*y^2*z + 51975/2*x^2*y^4*z - 10395/2*y^6*z + 17325*x^4*z^3 - 103950*x^2*y^2*z^3 + 17325*y^4*z^3

7

-4:

-20790*x^5*y*z + 20790*x*y^5*z + 69300*x^3*y*z^3 - 69300*x*y^3*z^3

7

5:

-10395/2*x^7 + 93555/2*x^5*y^2 + 51975/2*x^3*y^4 - 51975/2*x*y^6 + 62370*x^5*z^2 - 623700*x^3*y^2*z^2 + 311850*x*y^4*z^2

7

-5:

-51975/2*x^6*y + 51975/2*x^4*y^3 + 93555/2*x^2*y^5 - 10395/2*y^7 + 311850*x^4*y*z^2 - 623700*x^2*y^3*z^2 + 62370*y^5*z^2

7

6:

135135*x^6*z - 2027025*x^4*y^2*z + 2027025*x^2*y^4*z - 135135*y^6*z

7

-6:

810810*x^5*y*z - 2702700*x^3*y^3*z + 810810*x*y^5*z

7

7:

135135*x^7 - 2837835*x^5*y^2 + 4729725*x^3*y^4 - 945945*x*y^6

7

-7:

945945*x^6*y - 4729725*x^4*y^3 + 2837835*x^2*y^5 - 135135*y^7

8

0:

35/128*x^8 + 35/32*x^6*y^2 + 105/64*x^4*y^4 + 35/32*x^2*y^6 + 35/128*y^8 - 35/4*x^6*z^2 - 105/4*x^4*y^2*z^2 - 105/4*x^2*y^4*z^2 - 35/4*y^6*z^2 + 105/4*x^4*z^4 + 105/2*x^2*y^2*z^4 + 105/4*y^4*z^4 - 14*x^2*z^6 - 14*y^2*z^6 + z^8

8

1:

-315/16*x^7*z - 945/16*x^5*y^2*z - 945/16*x^3*y^4*z - 315/16*x*y^6*z + 315/2*x^5*z^3 + 315*x^3*y^2*z^3 + 315/2*x*y^4*z^3 - 189*x^3*z^5 - 189*x*y^2*z^5 + 36*x*z^7

8

-1:

-315/16*x^6*y*z - 945/16*x^4*y^3*z - 945/16*x^2*y^5*z - 315/16*y^7*z + 315/2*x^4*y*z^3 + 315*x^2*y^3*z^3 + 315/2*y^5*z^3 - 189*x^2*y*z^5 - 189*y^3*z^5 + 36*y*z^7

8

2:

-315/16*x^8 - 315/8*x^6*y^2 + 315/8*x^2*y^6 + 315/16*y^8 + 4725/8*x^6*z^2 + 4725/8*x^4*y^2*z^2 - 4725/8*x^2*y^4*z^2 - 4725/8*y^6*z^2 - 1575*x^4*z^4 + 1575*y^4*z^4 + 630*x^2*z^6 - 630*y^2*z^6

8

-2:

-315/8*x^7*y - 945/8*x^5*y^3 - 945/8*x^3*y^5 - 315/8*x*y^7 + 4725/4*x^5*y*z^2 + 4725/2*x^3*y^3*z^2 + 4725/4*x*y^5*z^2 - 3150*x^3*y*z^4 - 3150*x*y^3*z^4 + 1260*x*y*z^6

8

3:

10395/8*x^7*z - 10395/8*x^5*y^2*z - 51975/8*x^3*y^4*z - 31185/8*x*y^6*z - 17325/2*x^5*z^3 + 17325*x^3*y^2*z^3 + 51975/2*x*y^4*z^3 + 6930*x^3*z^5 - 20790*x*y^2*z^5

8

-3:

31185/8*x^6*y*z + 51975/8*x^4*y^3*z + 10395/8*x^2*y^5*z - 10395/8*y^7*z - 51975/2*x^4*y*z^3 - 17325*x^2*y^3*z^3 + 17325/2*y^5*z^3 + 20790*x^2*y*z^5 - 6930*y^3*z^5

8

4:

10395/8*x^8 - 10395/2*x^6*y^2 - 51975/4*x^4*y^4 - 10395/2*x^2*y^6 + 10395/8*y^8 - 31185*x^6*z^2 + 155925*x^4*y^2*z^2 + 155925*x^2*y^4*z^2 - 31185*y^6*z^2 + 51975*x^4*z^4 - 311850*x^2*y^2*z^4 + 51975*y^4*z^4

8

-4:

10395/2*x^7*y + 10395/2*x^5*y^3 - 10395/2*x^3*y^5 - 10395/2*x*y^7 - 124740*x^5*y*z^2 + 124740*x*y^5*z^2 + 207900*x^3*y*z^4 - 207900*x*y^3*z^4

8

5:

-135135/2*x^7*z + 1216215/2*x^5*y^2*z + 675675/2*x^3*y^4*z - 675675/2*x*y^6*z + 270270*x^5*z^3 - 2702700*x^3*y^2*z^3 + 1351350*x*y^4*z^3

8

-5:

-675675/2*x^6*y*z + 675675/2*x^4*y^3*z + 1216215/2*x^2*y^5*z - 135135/2*y^7*z + 1351350*x^4*y*z^3 - 2702700*x^2*y^3*z^3 + 270270*y^5*z^3

8

6:

-135135/2*x^8 + 945945*x^6*y^2 - 945945*x^2*y^6 + 135135/2*y^8 + 945945*x^6*z^2 - 14189175*x^4*y^2*z^2 + 14189175*x^2*y^4*z^2 - 945945*y^6*z^2

8

-6:

-405405*x^7*y + 945945*x^5*y^3 + 945945*x^3*y^5 - 405405*x*y^7 + 5675670*x^5*y*z^2 - 18918900*x^3*y^3*z^2 + 5675670*x*y^5*z^2

8

7:

2027025*x^7*z - 42567525*x^5*y^2*z + 70945875*x^3*y^4*z - 14189175*x*y^6*z

8

-7:

14189175*x^6*y*z - 70945875*x^4*y^3*z + 42567525*x^2*y^5*z - 2027025*y^7*z

8

8:

2027025*x^8 - 56756700*x^6*y^2 + 141891750*x^4*y^4 - 56756700*x^2*y^6 + 2027025*y^8

8

-8:

16216200*x^7*y - 113513400*x^5*y^3 + 113513400*x^3*y^5 - 16216200*x*y^7

9

0:

315/128*x^8*z + 315/32*x^6*y^2*z + 945/64*x^4*y^4*z + 315/32*x^2*y^6*z + 315/128*y^8*z - 105/4*x^6*z^3 - 315/4*x^4*y^2*z^3 - 315/4*x^2*y^4*z^3 - 105/4*y^6*z^3 + 189/4*x^4*z^5 + 189/2*x^2*y^2*z^5 + 189/4*y^4*z^5 - 18*x^2*z^7 - 18*y^2*z^7 + z^9

9

1:

315/128*x^9 + 315/32*x^7*y^2 + 945/64*x^5*y^4 + 315/32*x^3*y^6 + 315/128*x*y^8 - 1575/16*x^7*z^2 - 4725/16*x^5*y^2*z^2 - 4725/16*x^3*y^4*z^2 - 1575/16*x*y^6*z^2 + 1575/4*x^5*z^4 + 1575/2*x^3*y^2*z^4 + 1575/4*x*y^4*z^4 - 315*x^3*z^6 - 315*x*y^2*z^6 + 45*x*z^8

9

-1:

315/128*x^8*y + 315/32*x^6*y^3 + 945/64*x^4*y^5 + 315/32*x^2*y^7 + 315/128*y^9 - 1575/16*x^6*y*z^2 - 4725/16*x^4*y^3*z^2 - 4725/16*x^2*y^5*z^2 - 1575/16*y^7*z^2 + 1575/4*x^4*y*z^4 + 1575/2*x^2*y^3*z^4 + 1575/4*y^5*z^4 - 315*x^2*y*z^6 - 315*y^3*z^6 + 45*y*z^8

9

2:

-3465/16*x^8*z - 3465/8*x^6*y^2*z + 3465/8*x^2*y^6*z + 3465/16*y^8*z + 17325/8*x^6*z^3 + 17325/8*x^4*y^2*z^3 - 17325/8*x^2*y^4*z^3 - 17325/8*y^6*z^3 - 3465*x^4*z^5 + 3465*y^4*z^5 + 990*x^2*z^7 - 990*y^2*z^7

9

-2:

-3465/8*x^7*y*z - 10395/8*x^5*y^3*z - 10395/8*x^3*y^5*z - 3465/8*x*y^7*z + 17325/4*x^5*y*z^3 + 17325/2*x^3*y^3*z^3 + 17325/4*x*y^5*z^3 - 6930*x^3*y*z^5 - 6930*x*y^3*z^5 + 1980*x*y*z^7

9

3:

-3465/16*x^9 + 10395/8*x^5*y^4 + 3465/2*x^3*y^6 + 10395/16*x*y^8 + 31185/4*x^7*z^2 - 31185/4*x^5*y^2*z^2 - 155925/4*x^3*y^4*z^2 - 93555/4*x*y^6*z^2 - 51975/2*x^5*z^4 + 51975*x^3*y^2*z^4 + 155925/2*x*y^4*z^4 + 13860*x^3*z^6 - 41580*x*y^2*z^6

9

-3:

-10395/16*x^8*y - 3465/2*x^6*y^3 - 10395/8*x^4*y^5 + 3465/16*y^9 + 93555/4*x^6*y*z^2 + 155925/4*x^4*y^3*z^2 + 31185/4*x^2*y^5*z^2 - 31185/4*y^7*z^2 - 155925/2*x^4*y*z^4 - 51975*x^2*y^3*z^4 + 51975/2*y^5*z^4 + 41580*x^2*y*z^6 - 13860*y^3*z^6

9

4:

135135/8*x^8*z - 135135/2*x^6*y^2*z - 675675/4*x^4*y^4*z - 135135/2*x^2*y^6*z + 135135/8*y^8*z - 135135*x^6*z^3 + 675675*x^4*y^2*z^3 + 675675*x^2*y^4*z^3 - 135135*y^6*z^3 + 135135*x^4*z^5 - 810810*x^2*y^2*z^5 + 135135*y^4*z^5

9

-4:

135135/2*x^7*y*z + 135135/2*x^5*y^3*z - 135135/2*x^3*y^5*z - 135135/2*x*y^7*z - 540540*x^5*y*z^3 + 540540*x*y^5*z^3 + 540540*x^3*y*z^5 - 540540*x*y^3*z^5

9

5:

135135/8*x^9 - 135135*x^7*y^2 - 945945/4*x^5*y^4 + 675675/8*x*y^8 - 945945/2*x^7*z^2 + 8513505/2*x^5*y^2*z^2 + 4729725/2*x^3*y^4*z^2 - 4729725/2*x*y^6*z^2 + 945945*x^5*z^4 - 9459450*x^3*y^2*z^4 + 4729725*x*y^4*z^4

9

-5:

675675/8*x^8*y - 945945/4*x^4*y^5 - 135135*x^2*y^7 + 135135/8*y^9 - 4729725/2*x^6*y*z^2 + 4729725/2*x^4*y^3*z^2 + 8513505/2*x^2*y^5*z^2 - 945945/2*y^7*z^2 + 4729725*x^4*y*z^4 - 9459450*x^2*y^3*z^4 + 945945*y^5*z^4

9

6:

-2027025/2*x^8*z + 14189175*x^6*y^2*z - 14189175*x^2*y^6*z + 2027025/2*y^8*z + 4729725*x^6*z^3 - 70945875*x^4*y^2*z^3 + 70945875*x^2*y^4*z^3 - 4729725*y^6*z^3

9

-6:

-6081075*x^7*y*z + 14189175*x^5*y^3*z + 14189175*x^3*y^5*z - 6081075*x*y^7*z + 28378350*x^5*y*z^3 - 94594500*x^3*y^3*z^3 + 28378350*x*y^5*z^3

9

7:

-2027025/2*x^9 + 20270250*x^7*y^2 - 14189175*x^5*y^4 - 28378350*x^3*y^6 + 14189175/2*x*y^8 + 16216200*x^7*z^2 - 340540200*x^5*y^2*z^2 + 567567000*x^3*y^4*z^2 - 113513400*x*y^6*z^2

9

-7:

-14189175/2*x^8*y + 28378350*x^6*y^3 + 14189175*x^4*y^5 - 20270250*x^2*y^7 + 2027025/2*y^9 + 113513400*x^6*y*z^2 - 567567000*x^4*y^3*z^2 + 340540200*x^2*y^5*z^2 - 16216200*y^7*z^2

9

8:

34459425*x^8*z - 964863900*x^6*y^2*z + 2412159750*x^4*y^4*z - 964863900*x^2*y^6*z + 34459425*y^8*z

9

-8:

275675400*x^7*y*z - 1929727800*x^5*y^3*z + 1929727800*x^3*y^5*z - 275675400*x*y^7*z

9

9:

34459425*x^9 - 1240539300*x^7*y^2 + 4341887550*x^5*y^4 - 2894591700*x^3*y^6 + 310134825*x*y^8

9

-9:

310134825*x^8*y - 2894591700*x^6*y^3 + 4341887550*x^4*y^5 - 1240539300*x^2*y^7 + 34459425*y^9

10

0:

-63/256*x^10 - 315/256*x^8*y^2 - 315/128*x^6*y^4 - 315/128*x^4*y^6 - 315/256*x^2*y^8 - 63/256*y^10 + 1575/128*x^8*z^2 + 1575/32*x^6*y^2*z^2 + 4725/64*x^4*y^4*z^2 + 1575/32*x^2*y^6*z^2 + 1575/128*y^8*z^2 - 525/8*x^6*z^4 - 1575/8*x^4*y^2*z^4 - 1575/8*x^2*y^4*z^4 - 525/8*y^6*z^4 + 315/4*x^4*z^6 + 315/2*x^2*y^2*z^6 + 315/4*y^4*z^6 - 45/2*x^2*z^8 - 45/2*y^2*z^8 + z^10

10

1:

3465/128*x^9*z + 3465/32*x^7*y^2*z + 10395/64*x^5*y^4*z + 3465/32*x^3*y^6*z + 3465/128*x*y^8*z - 5775/16*x^7*z^3 - 17325/16*x^5*y^2*z^3 - 17325/16*x^3*y^4*z^3 - 5775/16*x*y^6*z^3 + 3465/4*x^5*z^5 + 3465/2*x^3*y^2*z^5 + 3465/4*x*y^4*z^5 - 495*x^3*z^7 - 495*x*y^2*z^7 + 55*x*z^9

10

-1:

3465/128*x^8*y*z + 3465/32*x^6*y^3*z + 10395/64*x^4*y^5*z + 3465/32*x^2*y^7*z + 3465/128*y^9*z - 5775/16*x^6*y*z^3 - 17325/16*x^4*y^3*z^3 - 17325/16*x^2*y^5*z^3 - 5775/16*y^7*z^3 + 3465/4*x^4*y*z^5 + 3465/2*x^2*y^3*z^5 + 3465/4*y^5*z^5 - 495*x^2*y*z^7 - 495*y^3*z^7 + 55*y*z^9

10

2:

3465/128*x^10 + 10395/128*x^8*y^2 + 3465/64*x^6*y^4 - 3465/64*x^4*y^6 - 10395/128*x^2*y^8 - 3465/128*y^10 - 10395/8*x^8*z^2 - 10395/4*x^6*y^2*z^2 + 10395/4*x^2*y^6*z^2 + 10395/8*y^8*z^2 + 51975/8*x^6*z^4 + 51975/8*x^4*y^2*z^4 - 51975/8*x^2*y^4*z^4 - 51975/8*y^6*z^4 - 6930*x^4*z^6 + 6930*y^4*z^6 + 1485*x^2*z^8 - 1485*y^2*z^8

10

-2:

3465/64*x^9*y + 3465/16*x^7*y^3 + 10395/32*x^5*y^5 + 3465/16*x^3*y^7 + 3465/64*x*y^9 - 10395/4*x^7*y*z^2 - 31185/4*x^5*y^3*z^2 - 31185/4*x^3*y^5*z^2 - 10395/4*x*y^7*z^2 + 51975/4*x^5*y*z^4 + 51975/2*x^3*y^3*z^4 + 51975/4*x*y^5*z^4 - 13860*x^3*y*z^6 - 13860*x*y^3*z^6 + 2970*x*y*z^8

10

3:

-45045/16*x^9*z + 135135/8*x^5*y^4*z + 45045/2*x^3*y^6*z + 135135/16*x*y^8*z + 135135/4*x^7*z^3 - 135135/4*x^5*y^2*z^3 - 675675/4*x^3*y^4*z^3 - 405405/4*x*y^6*z^3 - 135135/2*x^5*z^5 + 135135*x^3*y^2*z^5 + 405405/2*x*y^4*z^5 + 25740*x^3*z^7 - 77220*x*y^2*z^7

10

-3:

-135135/16*x^8*y*z - 45045/2*x^6*y^3*z - 135135/8*x^4*y^5*z + 45045/16*y^9*z + 405405/4*x^6*y*z^3 + 675675/4*x^4*y^3*z^3 + 135135/4*x^2*y^5*z^3 - 135135/4*y^7*z^3 - 405405/2*x^4*y*z^5 - 135135*x^2*y^3*z^5 + 135135/2*y^5*z^5 + 77220*x^2*y*z^7 - 25740*y^3*z^7

10

4:

-45045/16*x^10 + 135135/16*x^8*y^2 + 315315/8*x^6*y^4 + 315315/8*x^4*y^6 + 135135/16*x^2*y^8 - 45045/16*y^10 + 945945/8*x^8*z^2 - 945945/2*x^6*y^2*z^2 - 4729725/4*x^4*y^4*z^2 - 945945/2*x^2*y^6*z^2 + 945945/8*y^8*z^2 - 945945/2*x^6*z^4 + 4729725/2*x^4*y^2*z^4 + 4729725/2*x^2*y^4*z^4 - 945945/2*y^6*z^4 + 315315*x^4*z^6 - 1891890*x^2*y^2*z^6 + 315315*y^4*z^6

10

-4:

-45045/4*x^9*y - 45045/2*x^7*y^3 + 45045/2*x^3*y^7 + 45045/4*x*y^9 + 945945/2*x^7*y*z^2 + 945945/2*x^5*y^3*z^2 - 945945/2*x^3*y^5*z^2 - 945945/2*x*y^7*z^2 - 1891890*x^5*y*z^4 + 1891890*x*y^5*z^4 + 1261260*x^3*y*z^6 - 1261260*x*y^3*z^6

10

5:

2027025/8*x^9*z - 2027025*x^7*y^2*z - 14189175/4*x^5*y^4*z + 10135125/8*x*y^8*z - 4729725/2*x^7*z^3 + 42567525/2*x^5*y^2*z^3 + 23648625/2*x^3*y^4*z^3 - 23648625/2*x*y^6*z^3 + 2837835*x^5*z^5 - 28378350*x^3*y^2*z^5 + 14189175*x*y^4*z^5

10

-5:

10135125/8*x^8*y*z - 14189175/4*x^4*y^5*z - 2027025*x^2*y^7*z + 2027025/8*y^9*z - 23648625/2*x^6*y*z^3 + 23648625/2*x^4*y^3*z^3 + 42567525/2*x^2*y^5*z^3 - 4729725/2*y^7*z^3 + 14189175*x^4*y*z^5 - 28378350*x^2*y^3*z^5 + 2837835*y^5*z^5

10

6:

2027025/8*x^10 - 26351325/8*x^8*y^2 - 14189175/4*x^6*y^4 + 14189175/4*x^4*y^6 + 26351325/8*x^2*y^8 - 2027025/8*y^10 - 8108100*x^8*z^2 + 113513400*x^6*y^2*z^2 - 113513400*x^2*y^6*z^2 + 8108100*y^8*z^2 + 18918900*x^6*z^4 - 283783500*x^4*y^2*z^4 + 283783500*x^2*y^4*z^4 - 18918900*y^6*z^4

10

-6:

6081075/4*x^9*y - 2027025*x^7*y^3 - 14189175/2*x^5*y^5 - 2027025*x^3*y^7 + 6081075/4*x*y^9 - 48648600*x^7*y*z^2 + 113513400*x^5*y^3*z^2 + 113513400*x^3*y^5*z^2 - 48648600*x*y^7*z^2 + 113513400*x^5*y*z^4 - 378378000*x^3*y^3*z^4 + 113513400*x*y^5*z^4

10

7:

-34459425/2*x^9*z + 344594250*x^7*y^2*z - 241215975*x^5*y^4*z - 482431950*x^3*y^6*z + 241215975/2*x*y^8*z + 91891800*x^7*z^3 - 1929727800*x^5*y^2*z^3 + 3216213000*x^3*y^4*z^3 - 643242600*x*y^6*z^3

10

-7:

-241215975/2*x^8*y*z + 482431950*x^6*y^3*z + 241215975*x^4*y^5*z - 344594250*x^2*y^7*z + 34459425/2*y^9*z + 643242600*x^6*y*z^3 - 3216213000*x^4*y^3*z^3 + 1929727800*x^2*y^5*z^3 - 91891800*y^7*z^3

10

8:

-34459425/2*x^10 + 930404475/2*x^8*y^2 - 723647925*x^6*y^4 - 723647925*x^4*y^6 + 930404475/2*x^2*y^8 - 34459425/2*y^10 + 310134825*x^8*z^2 - 8683775100*x^6*y^2*z^2 + 21709437750*x^4*y^4*z^2 - 8683775100*x^2*y^6*z^2 + 310134825*y^8*z^2

10

-8:

-137837700*x^9*y + 827026200*x^7*y^3 - 827026200*x^3*y^7 + 137837700*x*y^9 + 2481078600*x^7*y*z^2 - 17367550200*x^5*y^3*z^2 + 17367550200*x^3*y^5*z^2 - 2481078600*x*y^7*z^2

10

9:

654729075*x^9*z - 23570246700*x^7*y^2*z + 82495863450*x^5*y^4*z - 54997242300*x^3*y^6*z + 5892561675*x*y^8*z

10

-9:

5892561675*x^8*y*z - 54997242300*x^6*y^3*z + 82495863450*x^4*y^5*z - 23570246700*x^2*y^7*z + 654729075*y^9*z

10

10:

654729075*x^10 - 29462808375*x^8*y^2 + 137493105750*x^6*y^4 - 137493105750*x^4*y^6 + 29462808375*x^2*y^8 - 654729075*y^10

10

-10:

6547290750*x^9*y - 78567489000*x^7*y^3 + 164991726900*x^5*y^5 - 78567489000*x^3*y^7 + 6547290750*x*y^9

11

0:

-693/256*x^10*z - 3465/256*x^8*y^2*z - 3465/128*x^6*y^4*z - 3465/128*x^4*y^6*z - 3465/256*x^2*y^8*z - 693/256*y^10*z + 5775/128*x^8*z^3 + 5775/32*x^6*y^2*z^3 + 17325/64*x^4*y^4*z^3 + 5775/32*x^2*y^6*z^3 + 5775/128*y^8*z^3 - 1155/8*x^6*z^5 - 3465/8*x^4*y^2*z^5 - 3465/8*x^2*y^4*z^5 - 1155/8*y^6*z^5 + 495/4*x^4*z^7 + 495/2*x^2*y^2*z^7 + 495/4*y^4*z^7 - 55/2*x^2*z^9 - 55/2*y^2*z^9 + z^11

11

1:

-693/256*x^11 - 3465/256*x^9*y^2 - 3465/128*x^7*y^4 - 3465/128*x^5*y^6 - 3465/256*x^3*y^8 - 693/256*x*y^10 + 10395/64*x^9*z^2 + 10395/16*x^7*y^2*z^2 + 31185/32*x^5*y^4*z^2 + 10395/16*x^3*y^6*z^2 + 10395/64*x*y^8*z^2 - 17325/16*x^7*z^4 - 51975/16*x^5*y^2*z^4 - 51975/16*x^3*y^4*z^4 - 17325/16*x*y^6*z^4 + 3465/2*x^5*z^6 + 3465*x^3*y^2*z^6 + 3465/2*x*y^4*z^6 - 1485/2*x^3*z^8 - 1485/2*x*y^2*z^8 + 66*x*z^10

11

-1:

-693/256*x^10*y - 3465/256*x^8*y^3 - 3465/128*x^6*y^5 - 3465/128*x^4*y^7 - 3465/256*x^2*y^9 - 693/256*y^11 + 10395/64*x^8*y*z^2 + 10395/16*x^6*y^3*z^2 + 31185/32*x^4*y^5*z^2 + 10395/16*x^2*y^7*z^2 + 10395/64*y^9*z^2 - 17325/16*x^6*y*z^4 - 51975/16*x^4*y^3*z^4 - 51975/16*x^2*y^5*z^4 - 17325/16*y^7*z^4 + 3465/2*x^4*y*z^6 + 3465*x^2*y^3*z^6 + 3465/2*y^5*z^6 - 1485/2*x^2*y*z^8 - 1485/2*y^3*z^8 + 66*y*z^10

11

2:

45045/128*x^10*z + 135135/128*x^8*y^2*z + 45045/64*x^6*y^4*z - 45045/64*x^4*y^6*z - 135135/128*x^2*y^8*z - 45045/128*y^10*z - 45045/8*x^8*z^3 - 45045/4*x^6*y^2*z^3 + 45045/4*x^2*y^6*z^3 + 45045/8*y^8*z^3 + 135135/8*x^6*z^5 + 135135/8*x^4*y^2*z^5 - 135135/8*x^2*y^4*z^5 - 135135/8*y^6*z^5 - 12870*x^4*z^7 + 12870*y^4*z^7 + 2145*x^2*z^9 - 2145*y^2*z^9

11

-2:

45045/64*x^9*y*z + 45045/16*x^7*y^3*z + 135135/32*x^5*y^5*z + 45045/16*x^3*y^7*z + 45045/64*x*y^9*z - 45045/4*x^7*y*z^3 - 135135/4*x^5*y^3*z^3 - 135135/4*x^3*y^5*z^3 - 45045/4*x*y^7*z^3 + 135135/4*x^5*y*z^5 + 135135/2*x^3*y^3*z^5 + 135135/4*x*y^5*z^5 - 25740*x^3*y*z^7 - 25740*x*y^3*z^7 + 4290*x*y*z^9

11

3:

45045/128*x^11 + 45045/128*x^9*y^2 - 135135/64*x^7*y^4 - 315315/64*x^5*y^6 - 495495/128*x^3*y^8 - 135135/128*x*y^10 - 315315/16*x^9*z^2 + 945945/8*x^5*y^4*z^2 + 315315/2*x^3*y^6*z^2 + 945945/16*x*y^8*z^2 + 945945/8*x^7*z^4 - 945945/8*x^5*y^2*z^4 - 4729725/8*x^3*y^4*z^4 - 2837835/8*x*y^6*z^4 - 315315/2*x^5*z^6 + 315315*x^3*y^2*z^6 + 945945/2*x*y^4*z^6 + 45045*x^3*z^8 - 135135*x*y^2*z^8

11

-3:

135135/128*x^10*y + 495495/128*x^8*y^3 + 315315/64*x^6*y^5 + 135135/64*x^4*y^7 - 45045/128*x^2*y^9 - 45045/128*y^11 - 945945/16*x^8*y*z^2 - 315315/2*x^6*y^3*z^2 - 945945/8*x^4*y^5*z^2 + 315315/16*y^9*z^2 + 2837835/8*x^6*y*z^4 + 4729725/8*x^4*y^3*z^4 + 945945/8*x^2*y^5*z^4 - 945945/8*y^7*z^4 - 945945/2*x^4*y*z^6 - 315315*x^2*y^3*z^6 + 315315/2*y^5*z^6 + 135135*x^2*y*z^8 - 45045*y^3*z^8

11

4:

-675675/16*x^10*z + 2027025/16*x^8*y^2*z + 4729725/8*x^6*y^4*z + 4729725/8*x^4*y^6*z + 2027025/16*x^2*y^8*z - 675675/16*y^10*z + 4729725/8*x^8*z^3 - 4729725/2*x^6*y^2*z^3 - 23648625/4*x^4*y^4*z^3 - 4729725/2*x^2*y^6*z^3 + 4729725/8*y^8*z^3 - 2837835/2*x^6*z^5 + 14189175/2*x^4*y^2*z^5 + 14189175/2*x^2*y^4*z^5 - 2837835/2*y^6*z^5 + 675675*x^4*z^7 - 4054050*x^2*y^2*z^7 + 675675*y^4*z^7

11

-4:

-675675/4*x^9*y*z - 675675/2*x^7*y^3*z + 675675/2*x^3*y^7*z + 675675/4*x*y^9*z + 4729725/2*x^7*y*z^3 + 4729725/2*x^5*y^3*z^3 - 4729725/2*x^3*y^5*z^3 - 4729725/2*x*y^7*z^3 - 5675670*x^5*y*z^5 + 5675670*x*y^5*z^5 + 2702700*x^3*y*z^7 - 2702700*x*y^3*z^7

11

5:

-675675/16*x^11 + 4729725/16*x^9*y^2 + 7432425/8*x^7*y^4 + 4729725/8*x^5*y^6 - 3378375/16*x^3*y^8 - 3378375/16*x*y^10 + 2027025*x^9*z^2 - 16216200*x^7*y^2*z^2 - 28378350*x^5*y^4*z^2 + 10135125*x*y^8*z^2 - 9459450*x^7*z^4 + 85135050*x^5*y^2*z^4 + 47297250*x^3*y^4*z^4 - 47297250*x*y^6*z^4 + 7567560*x^5*z^6 - 75675600*x^3*y^2*z^6 + 37837800*x*y^4*z^6

11

-5:

-3378375/16*x^10*y - 3378375/16*x^8*y^3 + 4729725/8*x^6*y^5 + 7432425/8*x^4*y^7 + 4729725/16*x^2*y^9 - 675675/16*y^11 + 10135125*x^8*y*z^2 - 28378350*x^4*y^5*z^2 - 16216200*x^2*y^7*z^2 + 2027025*y^9*z^2 - 47297250*x^6*y*z^4 + 47297250*x^4*y^3*z^4 + 85135050*x^2*y^5*z^4 - 9459450*y^7*z^4 + 37837800*x^4*y*z^6 - 75675600*x^2*y^3*z^6 + 7567560*y^5*z^6

11

6:

34459425/8*x^10*z - 447972525/8*x^8*y^2*z - 241215975/4*x^6*y^4*z + 241215975/4*x^4*y^6*z + 447972525/8*x^2*y^8*z - 34459425/8*y^10*z - 45945900*x^8*z^3 + 643242600*x^6*y^2*z^3 - 643242600*x^2*y^6*z^3 + 45945900*y^8*z^3 + 64324260*x^6*z^5 - 964863900*x^4*y^2*z^5 + 964863900*x^2*y^4*z^5 - 64324260*y^6*z^5

11

-6:

103378275/4*x^9*y*z - 34459425*x^7*y^3*z - 241215975/2*x^5*y^5*z - 34459425*x^3*y^7*z + 103378275/4*x*y^9*z - 275675400*x^7*y*z^3 + 643242600*x^5*y^3*z^3 + 643242600*x^3*y^5*z^3 - 275675400*x*y^7*z^3 + 385945560*x^5*y*z^5 - 1286485200*x^3*y^3*z^5 + 385945560*x*y^5*z^5

11

7:

34459425/8*x^11 - 654729075/8*x^9*y^2 - 103378275/4*x^7*y^4 + 723647925/4*x^5*y^6 + 723647925/8*x^3*y^8 - 241215975/8*x*y^10 - 310134825/2*x^9*z^2 + 3101348250*x^7*y^2*z^2 - 2170943775*x^5*y^4*z^2 - 4341887550*x^3*y^6*z^2 + 2170943775/2*x*y^8*z^2 + 413513100*x^7*z^4 - 8683775100*x^5*y^2*z^4 + 14472958500*x^3*y^4*z^4 - 2894591700*x*y^6*z^4

11

-7:

241215975/8*x^10*y - 723647925/8*x^8*y^3 - 723647925/4*x^6*y^5 + 103378275/4*x^4*y^7 + 654729075/8*x^2*y^9 - 34459425/8*y^11 - 2170943775/2*x^8*y*z^2 + 4341887550*x^6*y^3*z^2 + 2170943775*x^4*y^5*z^2 - 3101348250*x^2*y^7*z^2 + 310134825/2*y^9*z^2 + 2894591700*x^6*y*z^4 - 14472958500*x^4*y^3*z^4 + 8683775100*x^2*y^5*z^4 - 413513100*y^7*z^4

11

8:

-654729075/2*x^10*z + 17677685025/2*x^8*y^2*z - 13749310575*x^6*y^4*z - 13749310575*x^4*y^6*z + 17677685025/2*x^2*y^8*z - 654729075/2*y^10*z + 1964187225*x^8*z^3 - 54997242300*x^6*y^2*z^3 + 137493105750*x^4*y^4*z^3 - 54997242300*x^2*y^6*z^3 + 1964187225*y^8*z^3

11

-8:

-2618916300*x^9*y*z + 15713497800*x^7*y^3*z - 15713497800*x^3*y^7*z + 2618916300*x*y^9*z + 15713497800*x^7*y*z^3 - 109994484600*x^5*y^3*z^3 + 109994484600*x^3*y^5*z^3 - 15713497800*x*y^7*z^3

11

9:

-654729075/2*x^11 + 22915517625/2*x^9*y^2 - 29462808375*x^7*y^4 - 13749310575*x^5*y^6 + 49104680625/2*x^3*y^8 - 5892561675/2*x*y^10 + 6547290750*x^9*z^2 - 235702467000*x^7*y^2*z^2 + 824958634500*x^5*y^4*z^2 - 549972423000*x^3*y^6*z^2 + 58925616750*x*y^8*z^2

11

-9:

-5892561675/2*x^10*y + 49104680625/2*x^8*y^3 - 13749310575*x^6*y^5 - 29462808375*x^4*y^7 + 22915517625/2*x^2*y^9 - 654729075/2*y^11 + 58925616750*x^8*y*z^2 - 549972423000*x^6*y^3*z^2 + 824958634500*x^4*y^5*z^2 - 235702467000*x^2*y^7*z^2 + 6547290750*y^9*z^2

11

10:

13749310575*x^10*z - 618718975875*x^8*y^2*z + 2887355220750*x^6*y^4*z - 2887355220750*x^4*y^6*z + 618718975875*x^2*y^8*z - 13749310575*y^10*z

11

-10:

137493105750*x^9*y*z - 1649917269000*x^7*y^3*z + 3464826264900*x^5*y^5*z - 1649917269000*x^3*y^7*z + 137493105750*x*y^9*z

11

11:

13749310575*x^11 - 756212081625*x^9*y^2 + 4537272489750*x^7*y^4 - 6352181485650*x^5*y^6 + 2268636244875*x^3*y^8 - 151242416325*x*y^10

11

-11:

151242416325*x^10*y - 2268636244875*x^8*y^3 + 6352181485650*x^6*y^5 - 4537272489750*x^4*y^7 + 756212081625*x^2*y^9 - 13749310575*y^11

12

0:

231/1024*x^12 + 693/512*x^10*y^2 + 3465/1024*x^8*y^4 + 1155/256*x^6*y^6 + 3465/1024*x^4*y^8 + 693/512*x^2*y^10 + 231/1024*y^12 - 2079/128*x^10*z^2 - 10395/128*x^8*y^2*z^2 - 10395/64*x^6*y^4*z^2 - 10395/64*x^4*y^6*z^2 - 10395/128*x^2*y^8*z^2 - 2079/128*y^10*z^2 + 17325/128*x^8*z^4 + 17325/32*x^6*y^2*z^4 + 51975/64*x^4*y^4*z^4 + 17325/32*x^2*y^6*z^4 + 17325/128*y^8*z^4 - 1155/4*x^6*z^6 - 3465/4*x^4*y^2*z^6 - 3465/4*x^2*y^4*z^6 - 1155/4*y^6*z^6 + 1485/8*x^4*z^8 + 1485/4*x^2*y^2*z^8 + 1485/8*y^4*z^8 - 33*x^2*z^10 - 33*y^2*z^10 + z^12

12

1:

-9009/256*x^11*z - 45045/256*x^9*y^2*z - 45045/128*x^7*y^4*z - 45045/128*x^5*y^6*z - 45045/256*x^3*y^8*z - 9009/256*x*y^10*z + 45045/64*x^9*z^3 + 45045/16*x^7*y^2*z^3 + 135135/32*x^5*y^4*z^3 + 45045/16*x^3*y^6*z^3 + 45045/64*x*y^8*z^3 - 45045/16*x^7*z^5 - 135135/16*x^5*y^2*z^5 - 135135/16*x^3*y^4*z^5 - 45045/16*x*y^6*z^5 + 6435/2*x^5*z^7 + 6435*x^3*y^2*z^7 + 6435/2*x*y^4*z^7 - 2145/2*x^3*z^9 - 2145/2*x*y^2*z^9 + 78*x*z^11

12

-1:

-9009/256*x^10*y*z - 45045/256*x^8*y^3*z - 45045/128*x^6*y^5*z - 45045/128*x^4*y^7*z - 45045/256*x^2*y^9*z - 9009/256*y^11*z + 45045/64*x^8*y*z^3 + 45045/16*x^6*y^3*z^3 + 135135/32*x^4*y^5*z^3 + 45045/16*x^2*y^7*z^3 + 45045/64*y^9*z^3 - 45045/16*x^6*y*z^5 - 135135/16*x^4*y^3*z^5 - 135135/16*x^2*y^5*z^5 - 45045/16*y^7*z^5 + 6435/2*x^4*y*z^7 + 6435*x^2*y^3*z^7 + 6435/2*y^5*z^7 - 2145/2*x^2*y*z^9 - 2145/2*y^3*z^9 + 78*y*z^11

12

2:

-9009/256*x^12 - 9009/64*x^10*y^2 - 45045/256*x^8*y^4 + 45045/256*x^4*y^8 + 9009/64*x^2*y^10 + 9009/256*y^12 + 315315/128*x^10*z^2 + 945945/128*x^8*y^2*z^2 + 315315/64*x^6*y^4*z^2 - 315315/64*x^4*y^6*z^2 - 945945/128*x^2*y^8*z^2 - 315315/128*y^10*z^2 - 315315/16*x^8*z^4 - 315315/8*x^6*y^2*z^4 + 315315/8*x^2*y^6*z^4 + 315315/16*y^8*z^4 + 315315/8*x^6*z^6 + 315315/8*x^4*y^2*z^6 - 315315/8*x^2*y^4*z^6 - 315315/8*y^6*z^6 - 45045/2*x^4*z^8 + 45045/2*y^4*z^8 + 3003*x^2*z^10 - 3003*y^2*z^10

12

-2:

-9009/128*x^11*y - 45045/128*x^9*y^3 - 45045/64*x^7*y^5 - 45045/64*x^5*y^7 - 45045/128*x^3*y^9 - 9009/128*x*y^11 + 315315/64*x^9*y*z^2 + 315315/16*x^7*y^3*z^2 + 945945/32*x^5*y^5*z^2 + 315315/16*x^3*y^7*z^2 + 315315/64*x*y^9*z^2 - 315315/8*x^7*y*z^4 - 945945/8*x^5*y^3*z^4 - 945945/8*x^3*y^5*z^4 - 315315/8*x*y^7*z^4 + 315315/4*x^5*y*z^6 + 315315/2*x^3*y^3*z^6 + 315315/4*x*y^5*z^6 - 45045*x^3*y*z^8 - 45045*x*y^3*z^8 + 6006*x*y*z^10

12

3:

675675/128*x^11*z + 675675/128*x^9*y^2*z - 2027025/64*x^7*y^4*z - 4729725/64*x^5*y^6*z - 7432425/128*x^3*y^8*z - 2027025/128*x*y^10*z - 1576575/16*x^9*z^3 + 4729725/8*x^5*y^4*z^3 + 1576575/2*x^3*y^6*z^3 + 4729725/16*x*y^8*z^3 + 2837835/8*x^7*z^5 - 2837835/8*x^5*y^2*z^5 - 14189175/8*x^3*y^4*z^5 - 8513505/8*x*y^6*z^5 - 675675/2*x^5*z^7 + 675675*x^3*y^2*z^7 + 2027025/2*x*y^4*z^7 + 75075*x^3*z^9 - 225225*x*y^2*z^9

12

-3:

2027025/128*x^10*y*z + 7432425/128*x^8*y^3*z + 4729725/64*x^6*y^5*z + 2027025/64*x^4*y^7*z - 675675/128*x^2*y^9*z - 675675/128*y^11*z - 4729725/16*x^8*y*z^3 - 1576575/2*x^6*y^3*z^3 - 4729725/8*x^4*y^5*z^3 + 1576575/16*y^9*z^3 + 8513505/8*x^6*y*z^5 + 14189175/8*x^4*y^3*z^5 + 2837835/8*x^2*y^5*z^5 - 2837835/8*y^7*z^5 - 2027025/2*x^4*y*z^7 - 675675*x^2*y^3*z^7 + 675675/2*y^5*z^7 + 225225*x^2*y*z^9 - 75075*y^3*z^9

12

4:

675675/128*x^12 - 675675/64*x^10*y^2 - 11486475/128*x^8*y^4 - 4729725/32*x^6*y^6 - 11486475/128*x^4*y^8 - 675675/64*x^2*y^10 + 675675/128*y^12 - 675675/2*x^10*z^2 + 2027025/2*x^8*y^2*z^2 + 4729725*x^6*y^4*z^2 + 4729725*x^4*y^6*z^2 + 2027025/2*x^2*y^8*z^2 - 675675/2*y^10*z^2 + 4729725/2*x^8*z^4 - 9459450*x^6*y^2*z^4 - 23648625*x^4*y^4*z^4 - 9459450*x^2*y^6*z^4 + 4729725/2*y^8*z^4 - 3783780*x^6*z^6 + 18918900*x^4*y^2*z^6 + 18918900*x^2*y^4*z^6 - 3783780*y^6*z^6 + 1351350*x^4*z^8 - 8108100*x^2*y^2*z^8 + 1351350*y^4*z^8

12

-4:

675675/32*x^11*y + 2027025/32*x^9*y^3 + 675675/16*x^7*y^5 - 675675/16*x^5*y^7 - 2027025/32*x^3*y^9 - 675675/32*x*y^11 - 1351350*x^9*y*z^2 - 2702700*x^7*y^3*z^2 + 2702700*x^3*y^7*z^2 + 1351350*x*y^9*z^2 + 9459450*x^7*y*z^4 + 9459450*x^5*y^3*z^4 - 9459450*x^3*y^5*z^4 - 9459450*x*y^7*z^4 - 15135120*x^5*y*z^6 + 15135120*x*y^5*z^6 + 5405400*x^3*y*z^8 - 5405400*x*y^3*z^8

12

5:

-11486475/16*x^11*z + 80405325/16*x^9*y^2*z + 126351225/8*x^7*y^4*z + 80405325/8*x^5*y^6*z - 57432375/16*x^3*y^8*z - 57432375/16*x*y^10*z + 11486475*x^9*z^3 - 91891800*x^7*y^2*z^3 - 160810650*x^5*y^4*z^3 + 57432375*x*y^8*z^3 - 32162130*x^7*z^5 + 289459170*x^5*y^2*z^5 + 160810650*x^3*y^4*z^5 - 160810650*x*y^6*z^5 + 18378360*x^5*z^7 - 183783600*x^3*y^2*z^7 + 91891800*x*y^4*z^7

12

-5:

-57432375/16*x^10*y*z - 57432375/16*x^8*y^3*z + 80405325/8*x^6*y^5*z + 126351225/8*x^4*y^7*z + 80405325/16*x^2*y^9*z - 11486475/16*y^11*z + 57432375*x^8*y*z^3 - 160810650*x^4*y^5*z^3 - 91891800*x^2*y^7*z^3 + 11486475*y^9*z^3 - 160810650*x^6*y*z^5 + 160810650*x^4*y^3*z^5 + 289459170*x^2*y^5*z^5 - 32162130*y^7*z^5 + 91891800*x^4*y*z^7 - 183783600*x^2*y^3*z^7 + 18378360*y^5*z^7

12

6:

-11486475/16*x^12 + 34459425/4*x^10*y^2 + 310134825/16*x^8*y^4 - 310134825/16*x^4*y^8 - 34459425/4*x^2*y^10 + 11486475/16*y^12 + 310134825/8*x^10*z^2 - 4031752725/8*x^8*y^2*z^2 - 2170943775/4*x^6*y^4*z^2 + 2170943775/4*x^4*y^6*z^2 + 4031752725/8*x^2*y^8*z^2 - 310134825/8*y^10*z^2 - 206756550*x^8*z^4 + 2894591700*x^6*y^2*z^4 - 2894591700*x^2*y^6*z^4 + 206756550*y^8*z^4 + 192972780*x^6*z^6 - 2894591700*x^4*y^2*z^6 + 2894591700*x^2*y^4*z^6 - 192972780*y^6*z^6

12

-6:

-34459425/8*x^11*y + 11486475/8*x^9*y^3 + 103378275/4*x^7*y^5 + 103378275/4*x^5*y^7 + 11486475/8*x^3*y^9 - 34459425/8*x*y^11 + 930404475/4*x^9*y*z^2 - 310134825*x^7*y^3*z^2 - 2170943775/2*x^5*y^5*z^2 - 310134825*x^3*y^7*z^2 + 930404475/4*x*y^9*z^2 - 1240539300*x^7*y*z^4 + 2894591700*x^5*y^3*z^4 + 2894591700*x^3*y^5*z^4 - 1240539300*x*y^7*z^4 + 1157836680*x^5*y*z^6 - 3859455600*x^3*y^3*z^6 + 1157836680*x*y^5*z^6

12

7:

654729075/8*x^11*z - 12439852425/8*x^9*y^2*z - 1964187225/4*x^7*y^4*z + 13749310575/4*x^5*y^6*z + 13749310575/8*x^3*y^8*z - 4583103525/8*x*y^10*z - 1964187225/2*x^9*z^3 + 19641872250*x^7*y^2*z^3 - 13749310575*x^5*y^4*z^3 - 27498621150*x^3*y^6*z^3 + 13749310575/2*x*y^8*z^3 + 1571349780*x^7*z^5 - 32998345380*x^5*y^2*z^5 + 54997242300*x^3*y^4*z^5 - 10999448460*x*y^6*z^5

12

-7:

4583103525/8*x^10*y*z - 13749310575/8*x^8*y^3*z - 13749310575/4*x^6*y^5*z + 1964187225/4*x^4*y^7*z + 12439852425/8*x^2*y^9*z - 654729075/8*y^11*z - 13749310575/2*x^8*y*z^3 + 27498621150*x^6*y^3*z^3 + 13749310575*x^4*y^5*z^3 - 19641872250*x^2*y^7*z^3 + 1964187225/2*y^9*z^3 + 10999448460*x^6*y*z^5 - 54997242300*x^4*y^3*z^5 + 32998345380*x^2*y^5*z^5 - 1571349780*y^7*z^5

12

8:

654729075/8*x^12 - 8511477975/4*x^10*y^2 + 9820936125/8*x^8*y^4 + 13749310575/2*x^6*y^6 + 9820936125/8*x^4*y^8 - 8511477975/4*x^2*y^10 + 654729075/8*y^12 - 3273645375*x^10*z^2 + 88388425125*x^8*y^2*z^2 - 137493105750*x^6*y^4*z^2 - 137493105750*x^4*y^6*z^2 + 88388425125*x^2*y^8*z^2 - 3273645375*y^10*z^2 + 9820936125*x^8*z^4 - 274986211500*x^6*y^2*z^4 + 687465528750*x^4*y^4*z^4 - 274986211500*x^2*y^6*z^4 + 9820936125*y^8*z^4

12

-8:

654729075*x^11*y - 3273645375*x^9*y^3 - 3928374450*x^7*y^5 + 3928374450*x^5*y^7 + 3273645375*x^3*y^9 - 654729075*x*y^11 - 26189163000*x^9*y*z^2 + 157134978000*x^7*y^3*z^2 - 157134978000*x^3*y^7*z^2 + 26189163000*x*y^9*z^2 + 78567489000*x^7*y*z^4 - 549972423000*x^5*y^3*z^4 + 549972423000*x^3*y^5*z^4 - 78567489000*x*y^7*z^4

12

9:

-13749310575/2*x^11*z + 481225870125/2*x^9*y^2*z - 618718975875*x^7*y^4*z - 288735522075*x^5*y^6*z + 1031198293125/2*x^3*y^8*z - 123743795175/2*x*y^10*z + 45831035250*x^9*z^3 - 1649917269000*x^7*y^2*z^3 + 5774710441500*x^5*y^4*z^3 - 3849806961000*x^3*y^6*z^3 + 412479317250*x*y^8*z^3

12

-9:

-123743795175/2*x^10*y*z + 1031198293125/2*x^8*y^3*z - 288735522075*x^6*y^5*z - 618718975875*x^4*y^7*z + 481225870125/2*x^2*y^9*z - 13749310575/2*y^11*z + 412479317250*x^8*y*z^3 - 3849806961000*x^6*y^3*z^3 + 5774710441500*x^4*y^5*z^3 - 1649917269000*x^2*y^7*z^3 + 45831035250*y^9*z^3

12

10:

-13749310575/2*x^12 + 302484832650*x^10*y^2 - 2268636244875/2*x^8*y^4 + 2268636244875/2*x^4*y^8 - 302484832650*x^2*y^10 + 13749310575/2*y^12 + 151242416325*x^10*z^2 - 6805908734625*x^8*y^2*z^2 + 31760907428250*x^6*y^4*z^2 - 31760907428250*x^4*y^6*z^2 + 6805908734625*x^2*y^8*z^2 - 151242416325*y^10*z^2

12

-10:

-68746552875*x^11*y + 756212081625*x^9*y^3 - 907454497950*x^7*y^5 - 907454497950*x^5*y^7 + 756212081625*x^3*y^9 - 68746552875*x*y^11 + 1512424163250*x^9*y*z^2 - 18149089959000*x^7*y^3*z^2 + 38113088913900*x^5*y^5*z^2 - 18149089959000*x^3*y^7*z^2 + 1512424163250*x*y^9*z^2

12

11:

316234143225*x^11*z - 17392877877375*x^9*y^2*z + 104357267264250*x^7*y^4*z - 146100174169950*x^5*y^6*z + 52178633632125*x^3*y^8*z - 3478575575475*x*y^10*z

12

-11:

3478575575475*x^10*y*z - 52178633632125*x^8*y^3*z + 146100174169950*x^6*y^5*z - 104357267264250*x^4*y^7*z + 17392877877375*x^2*y^9*z - 316234143225*y^11*z

12

12:

316234143225*x^12 - 20871453452850*x^10*y^2 + 156535900896375*x^8*y^4 - 292200348339900*x^6*y^6 + 156535900896375*x^4*y^8 - 20871453452850*x^2*y^10 + 316234143225*y^12

12

-12:

3794809718700*x^11*y - 69571511509500*x^9*y^3 + 250457441434200*x^7*y^5 - 250457441434200*x^5*y^7 + 69571511509500*x^3*y^9 - 3794809718700*x*y^11

13

0:

3003/1024*x^12*z + 9009/512*x^10*y^2*z + 45045/1024*x^8*y^4*z + 15015/256*x^6*y^6*z + 45045/1024*x^4*y^8*z + 9009/512*x^2*y^10*z + 3003/1024*y^12*z - 9009/128*x^10*z^3 - 45045/128*x^8*y^2*z^3 - 45045/64*x^6*y^4*z^3 - 45045/64*x^4*y^6*z^3 - 45045/128*x^2*y^8*z^3 - 9009/128*y^10*z^3 + 45045/128*x^8*z^5 + 45045/32*x^6*y^2*z^5 + 135135/64*x^4*y^4*z^5 + 45045/32*x^2*y^6*z^5 + 45045/128*y^8*z^5 - 2145/4*x^6*z^7 - 6435/4*x^4*y^2*z^7 - 6435/4*x^2*y^4*z^7 - 2145/4*y^6*z^7 + 2145/8*x^4*z^9 + 2145/4*x^2*y^2*z^9 + 2145/8*y^4*z^9 - 39*x^2*z^11 - 39*y^2*z^11 + z^13

13

1:

3003/1024*x^13 + 9009/512*x^11*y^2 + 45045/1024*x^9*y^4 + 15015/256*x^7*y^6 + 45045/1024*x^5*y^8 + 9009/512*x^3*y^10 + 3003/1024*x*y^12 - 63063/256*x^11*z^2 - 315315/256*x^9*y^2*z^2 - 315315/128*x^7*y^4*z^2 - 315315/128*x^5*y^6*z^2 - 315315/256*x^3*y^8*z^2 - 63063/256*x*y^10*z^2 + 315315/128*x^9*z^4 + 315315/32*x^7*y^2*z^4 + 945945/64*x^5*y^4*z^4 + 315315/32*x^3*y^6*z^4 + 315315/128*x*y^8*z^4 - 105105/16*x^7*z^6 - 315315/16*x^5*y^2*z^6 - 315315/16*x^3*y^4*z^6 - 105105/16*x*y^6*z^6 + 45045/8*x^5*z^8 + 45045/4*x^3*y^2*z^8 + 45045/8*x*y^4*z^8 - 3003/2*x^3*z^10 - 3003/2*x*y^2*z^10 + 91*x*z^12

13

-1:

3003/1024*x^12*y + 9009/512*x^10*y^3 + 45045/1024*x^8*y^5 + 15015/256*x^6*y^7 + 45045/1024*x^4*y^9 + 9009/512*x^2*y^11 + 3003/1024*y^13 - 63063/256*x^10*y*z^2 - 315315/256*x^8*y^3*z^2 - 315315/128*x^6*y^5*z^2 - 315315/128*x^4*y^7*z^2 - 315315/256*x^2*y^9*z^2 - 63063/256*y^11*z^2 + 315315/128*x^8*y*z^4 + 315315/32*x^6*y^3*z^4 + 945945/64*x^4*y^5*z^4 + 315315/32*x^2*y^7*z^4 + 315315/128*y^9*z^4 - 105105/16*x^6*y*z^6 - 315315/16*x^4*y^3*z^6 - 315315/16*x^2*y^5*z^6 - 105105/16*y^7*z^6 + 45045/8*x^4*y*z^8 + 45045/4*x^2*y^3*z^8 + 45045/8*y^5*z^8 - 3003/2*x^2*y*z^10 - 3003/2*y^3*z^10 + 91*y*z^12

13

2:

-135135/256*x^12*z - 135135/64*x^10*y^2*z - 675675/256*x^8*y^4*z + 675675/256*x^4*y^8*z + 135135/64*x^2*y^10*z + 135135/256*y^12*z + 1576575/128*x^10*z^3 + 4729725/128*x^8*y^2*z^3 + 1576575/64*x^6*y^4*z^3 - 1576575/64*x^4*y^6*z^3 - 4729725/128*x^2*y^8*z^3 - 1576575/128*y^10*z^3 - 945945/16*x^8*z^5 - 945945/8*x^6*y^2*z^5 + 945945/8*x^2*y^6*z^5 + 945945/16*y^8*z^5 + 675675/8*x^6*z^7 + 675675/8*x^4*y^2*z^7 - 675675/8*x^2*y^4*z^7 - 675675/8*y^6*z^7 - 75075/2*x^4*z^9 + 75075/2*y^4*z^9 + 4095*x^2*z^11 - 4095*y^2*z^11

13

-2:

-135135/128*x^11*y*z - 675675/128*x^9*y^3*z - 675675/64*x^7*y^5*z - 675675/64*x^5*y^7*z - 675675/128*x^3*y^9*z - 135135/128*x*y^11*z + 1576575/64*x^9*y*z^3 + 1576575/16*x^7*y^3*z^3 + 4729725/32*x^5*y^5*z^3 + 1576575/16*x^3*y^7*z^3 + 1576575/64*x*y^9*z^3 - 945945/8*x^7*y*z^5 - 2837835/8*x^5*y^3*z^5 - 2837835/8*x^3*y^5*z^5 - 945945/8*x*y^7*z^5 + 675675/4*x^5*y*z^7 + 675675/2*x^3*y^3*z^7 + 675675/4*x*y^5*z^7 - 75075*x^3*y*z^9 - 75075*x*y^3*z^9 + 8190*x*y*z^11

13

3:

-135135/256*x^13 - 135135/128*x^11*y^2 + 675675/256*x^9*y^4 + 675675/64*x^7*y^6 + 3378375/256*x^5*y^8 + 945945/128*x^3*y^10 + 405405/256*x*y^12 + 675675/16*x^11*z^2 + 675675/16*x^9*y^2*z^2 - 2027025/8*x^7*y^4*z^2 - 4729725/8*x^5*y^6*z^2 - 7432425/16*x^3*y^8*z^2 - 2027025/16*x*y^10*z^2 - 1576575/4*x^9*z^4 + 4729725/2*x^5*y^4*z^4 + 3153150*x^3*y^6*z^4 + 4729725/4*x*y^8*z^4 + 945945*x^7*z^6 - 945945*x^5*y^2*z^6 - 4729725*x^3*y^4*z^6 - 2837835*x*y^6*z^6 - 675675*x^5*z^8 + 1351350*x^3*y^2*z^8 + 2027025*x*y^4*z^8 + 120120*x^3*z^10 - 360360*x*y^2*z^10

13

-3:

-405405/256*x^12*y - 945945/128*x^10*y^3 - 3378375/256*x^8*y^5 - 675675/64*x^6*y^7 - 675675/256*x^4*y^9 + 135135/128*x^2*y^11 + 135135/256*y^13 + 2027025/16*x^10*y*z^2 + 7432425/16*x^8*y^3*z^2 + 4729725/8*x^6*y^5*z^2 + 2027025/8*x^4*y^7*z^2 - 675675/16*x^2*y^9*z^2 - 675675/16*y^11*z^2 - 4729725/4*x^8*y*z^4 - 3153150*x^6*y^3*z^4 - 4729725/2*x^4*y^5*z^4 + 1576575/4*y^9*z^4 + 2837835*x^6*y*z^6 + 4729725*x^4*y^3*z^6 + 945945*x^2*y^5*z^6 - 945945*y^7*z^6 - 2027025*x^4*y*z^8 - 1351350*x^2*y^3*z^8 + 675675*y^5*z^8 + 360360*x^2*y*z^10 - 120120*y^3*z^10

13

4:

11486475/128*x^12*z - 11486475/64*x^10*y^2*z - 195270075/128*x^8*y^4*z - 80405325/32*x^6*y^6*z - 195270075/128*x^4*y^8*z - 11486475/64*x^2*y^10*z + 11486475/128*y^12*z - 3828825/2*x^10*z^3 + 11486475/2*x^8*y^2*z^3 + 26801775*x^6*y^4*z^3 + 26801775*x^4*y^6*z^3 + 11486475/2*x^2*y^8*z^3 - 3828825/2*y^10*z^3 + 16081065/2*x^8*z^5 - 32162130*x^6*y^2*z^5 - 80405325*x^4*y^4*z^5 - 32162130*x^2*y^6*z^5 + 16081065/2*y^8*z^5 - 9189180*x^6*z^7 + 45945900*x^4*y^2*z^7 + 45945900*x^2*y^4*z^7 - 9189180*y^6*z^7 + 2552550*x^4*z^9 - 15315300*x^2*y^2*z^9 + 2552550*y^4*z^9

13

-4:

11486475/32*x^11*y*z + 34459425/32*x^9*y^3*z + 11486475/16*x^7*y^5*z - 11486475/16*x^5*y^7*z - 34459425/32*x^3*y^9*z - 11486475/32*x*y^11*z - 7657650*x^9*y*z^3 - 15315300*x^7*y^3*z^3 + 15315300*x^3*y^7*z^3 + 7657650*x*y^9*z^3 + 32162130*x^7*y*z^5 + 32162130*x^5*y^3*z^5 - 32162130*x^3*y^5*z^5 - 32162130*x*y^7*z^5 - 36756720*x^5*y*z^7 + 36756720*x*y^5*z^7 + 10210200*x^3*y*z^9 - 10210200*x*y^3*z^9

13

5:

11486475/128*x^13 - 34459425/64*x^11*y^2 - 333107775/128*x^9*y^4 - 103378275/32*x^7*y^6 - 103378275/128*x^5*y^8 + 57432375/64*x^3*y^10 + 57432375/128*x*y^12 - 103378275/16*x^11*z^2 + 723647925/16*x^9*y^2*z^2 + 1137161025/8*x^7*y^4*z^2 + 723647925/8*x^5*y^6*z^2 - 516891375/16*x^3*y^8*z^2 - 516891375/16*x*y^10*z^2 + 103378275/2*x^9*z^4 - 413513100*x^7*y^2*z^4 - 723647925*x^5*y^4*z^4 + 516891375/2*x*y^8*z^4 - 96486390*x^7*z^6 + 868377510*x^5*y^2*z^6 + 482431950*x^3*y^4*z^6 - 482431950*x*y^6*z^6 + 41351310*x^5*z^8 - 413513100*x^3*y^2*z^8 + 206756550*x*y^4*z^8

13

-5:

57432375/128*x^12*y + 57432375/64*x^10*y^3 - 103378275/128*x^8*y^5 - 103378275/32*x^6*y^7 - 333107775/128*x^4*y^9 - 34459425/64*x^2*y^11 + 11486475/128*y^13 - 516891375/16*x^10*y*z^2 - 516891375/16*x^8*y^3*z^2 + 723647925/8*x^6*y^5*z^2 + 1137161025/8*x^4*y^7*z^2 + 723647925/16*x^2*y^9*z^2 - 103378275/16*y^11*z^2 + 516891375/2*x^8*y*z^4 - 723647925*x^4*y^5*z^4 - 413513100*x^2*y^7*z^4 + 103378275/2*y^9*z^4 - 482431950*x^6*y*z^6 + 482431950*x^4*y^3*z^6 + 868377510*x^2*y^5*z^6 - 96486390*y^7*z^6 + 206756550*x^4*y*z^8 - 413513100*x^2*y^3*z^8 + 41351310*y^5*z^8

13

6:

-218243025/16*x^12*z + 654729075/4*x^10*y^2*z + 5892561675/16*x^8*y^4*z - 5892561675/16*x^4*y^8*z - 654729075/4*x^2*y^10*z + 218243025/16*y^12*z + 1964187225/8*x^10*z^3 - 25534433925/8*x^8*y^2*z^3 - 13749310575/4*x^6*y^4*z^3 + 13749310575/4*x^4*y^6*z^3 + 25534433925/8*x^2*y^8*z^3 - 1964187225/8*y^10*z^3 - 785674890*x^8*z^5 + 10999448460*x^6*y^2*z^5 - 10999448460*x^2*y^6*z^5 + 785674890*y^8*z^5 + 523783260*x^6*z^7 - 7856748900*x^4*y^2*z^7 + 7856748900*x^2*y^4*z^7 - 523783260*y^6*z^7

13

-6:

-654729075/8*x^11*y*z + 218243025/8*x^9*y^3*z + 1964187225/4*x^7*y^5*z + 1964187225/4*x^5*y^7*z + 218243025/8*x^3*y^9*z - 654729075/8*x*y^11*z + 5892561675/4*x^9*y*z^3 - 1964187225*x^7*y^3*z^3 - 13749310575/2*x^5*y^5*z^3 - 1964187225*x^3*y^7*z^3 + 5892561675/4*x*y^9*z^3 - 4714049340*x^7*y*z^5 + 10999448460*x^5*y^3*z^5 + 10999448460*x^3*y^5*z^5 - 4714049340*x*y^7*z^5 + 3142699560*x^5*y*z^7 - 10475665200*x^3*y^3*z^7 + 3142699560*x*y^5*z^7

13

7:

-218243025/16*x^13 + 1964187225/8*x^11*y^2 + 5456075625/16*x^9*y^4 - 1964187225/4*x^7*y^6 - 13749310575/16*x^5*y^8 - 1527701175/8*x^3*y^10 + 1527701175/16*x*y^12 + 3273645375/4*x^11*z^2 - 62199262125/4*x^9*y^2*z^2 - 9820936125/2*x^7*y^4*z^2 + 68746552875/2*x^5*y^6*z^2 + 68746552875/4*x^3*y^8*z^2 - 22915517625/4*x*y^10*z^2 - 9820936125/2*x^9*z^4 + 98209361250*x^7*y^2*z^4 - 68746552875*x^5*y^4*z^4 - 137493105750*x^3*y^6*z^4 + 68746552875/2*x*y^8*z^4 + 5237832600*x^7*z^6 - 109994484600*x^5*y^2*z^6 + 183324141000*x^3*y^4*z^6 - 36664828200*x*y^6*z^6

13

-7:

-1527701175/16*x^12*y + 1527701175/8*x^10*y^3 + 13749310575/16*x^8*y^5 + 1964187225/4*x^6*y^7 - 5456075625/16*x^4*y^9 - 1964187225/8*x^2*y^11 + 218243025/16*y^13 + 22915517625/4*x^10*y*z^2 - 68746552875/4*x^8*y^3*z^2 - 68746552875/2*x^6*y^5*z^2 + 9820936125/2*x^4*y^7*z^2 + 62199262125/4*x^2*y^9*z^2 - 3273645375/4*y^11*z^2 - 68746552875/2*x^8*y*z^4 + 137493105750*x^6*y^3*z^4 + 68746552875*x^4*y^5*z^4 - 98209361250*x^2*y^7*z^4 + 9820936125/2*y^9*z^4 + 36664828200*x^6*y*z^6 - 183324141000*x^4*y^3*z^6 + 109994484600*x^2*y^5*z^6 - 5237832600*y^7*z^6

13

8:

13749310575/8*x^12*z - 178741037475/4*x^10*y^2*z + 206239658625/8*x^8*y^4*z + 288735522075/2*x^6*y^6*z + 206239658625/8*x^4*y^8*z - 178741037475/4*x^2*y^10*z + 13749310575/8*y^12*z - 22915517625*x^10*z^3 + 618718975875*x^8*y^2*z^3 - 962451740250*x^6*y^4*z^3 - 962451740250*x^4*y^6*z^3 + 618718975875*x^2*y^8*z^3 - 22915517625*y^10*z^3 + 41247931725*x^8*z^5 - 1154942088300*x^6*y^2*z^5 + 2887355220750*x^4*y^4*z^5 - 1154942088300*x^2*y^6*z^5 + 41247931725*y^8*z^5

13

-8:

13749310575*x^11*y*z - 68746552875*x^9*y^3*z - 82495863450*x^7*y^5*z + 82495863450*x^5*y^7*z + 68746552875*x^3*y^9*z - 13749310575*x*y^11*z - 183324141000*x^9*y*z^3 + 1099944846000*x^7*y^3*z^3 - 1099944846000*x^3*y^7*z^3 + 183324141000*x*y^9*z^3 + 329983453800*x^7*y*z^5 - 2309884176600*x^5*y^3*z^5 + 2309884176600*x^3*y^5*z^5 - 329983453800*x*y^7*z^5

13

9:

13749310575/8*x^13 - 233738279775/4*x^11*y^2 + 756212081625/8*x^9*y^4 + 453727248975/2*x^7*y^6 - 453727248975/8*x^5*y^8 - 453727248975/4*x^3*y^10 + 123743795175/8*x*y^12 - 151242416325/2*x^11*z^2 + 5293484571375/2*x^9*y^2*z^2 - 6805908734625*x^7*y^4*z^2 - 3176090742825*x^5*y^6*z^2 + 11343181224375/2*x^3*y^8*z^2 - 1361181746925/2*x*y^10*z^2 + 252070693875*x^9*z^4 - 9074544979500*x^7*y^2*z^4 + 31760907428250*x^5*y^4*z^4 - 21173938285500*x^3*y^6*z^4 + 2268636244875*x*y^8*z^4

13

-9:

123743795175/8*x^12*y - 453727248975/4*x^10*y^3 - 453727248975/8*x^8*y^5 + 453727248975/2*x^6*y^7 + 756212081625/8*x^4*y^9 - 233738279775/4*x^2*y^11 + 13749310575/8*y^13 - 1361181746925/2*x^10*y*z^2 + 11343181224375/2*x^8*y^3*z^2 - 3176090742825*x^6*y^5*z^2 - 6805908734625*x^4*y^7*z^2 + 5293484571375/2*x^2*y^9*z^2 - 151242416325/2*y^11*z^2 + 2268636244875*x^8*y*z^4 - 21173938285500*x^6*y^3*z^4 + 31760907428250*x^4*y^5*z^4 - 9074544979500*x^2*y^7*z^4 + 252070693875*y^9*z^4

13

10:

-316234143225/2*x^12*z + 6957151150950*x^10*y^2*z - 52178633632125/2*x^8*y^4*z + 52178633632125/2*x^4*y^8*z - 6957151150950*x^2*y^10*z + 316234143225/2*y^12*z + 1159525191825*x^10*z^3 - 52178633632125*x^8*y^2*z^3 + 243500290283250*x^6*y^4*z^3 - 243500290283250*x^4*y^6*z^3 + 52178633632125*x^2*y^8*z^3 - 1159525191825*y^10*z^3

13

-10:

-1581170716125*x^11*y*z + 17392877877375*x^9*y^3*z - 20871453452850*x^7*y^5*z - 20871453452850*x^5*y^7*z + 17392877877375*x^3*y^9*z - 1581170716125*x*y^11*z + 11595251918250*x^9*y*z^3 - 139143023019000*x^7*y^3*z^3 + 292200348339900*x^5*y^5*z^3 - 139143023019000*x^3*y^7*z^3 + 11595251918250*x*y^9*z^3

13

11:

-316234143225/2*x^13 + 8538321867075*x^11*y^2 - 86964389386875/2*x^9*y^4 + 20871453452850*x^7*y^6 + 93921540537825/2*x^5*y^8 - 24350029028325*x^3*y^10 + 3478575575475/2*x*y^12 + 3794809718700*x^11*z^2 - 208714534528500*x^9*y^2*z^2 + 1252287207171000*x^7*y^4*z^2 - 1753202090039400*x^5*y^6*z^2 + 626143603585500*x^3*y^8*z^2 - 41742906905700*x*y^10*z^2

13

-11:

-3478575575475/2*x^12*y + 24350029028325*x^10*y^3 - 93921540537825/2*x^8*y^5 - 20871453452850*x^6*y^7 + 86964389386875/2*x^4*y^9 - 8538321867075*x^2*y^11 + 316234143225/2*y^13 + 41742906905700*x^10*y*z^2 - 626143603585500*x^8*y^3*z^2 + 1753202090039400*x^6*y^5*z^2 - 1252287207171000*x^4*y^7*z^2 + 208714534528500*x^2*y^9*z^2 - 3794809718700*y^11*z^2

13

12:

7905853580625*x^12*z - 521786336321250*x^10*y^2*z + 3913397522409375*x^8*y^4*z - 7305008708497500*x^6*y^6*z + 3913397522409375*x^4*y^8*z - 521786336321250*x^2*y^10*z + 7905853580625*y^12*z

13

-12:

94870242967500*x^11*y*z - 1739287787737500*x^9*y^3*z + 6261436035855000*x^7*y^5*z - 6261436035855000*x^5*y^7*z + 1739287787737500*x^3*y^9*z - 94870242967500*x*y^11*z

13

13:

7905853580625*x^13 - 616656579288750*x^11*y^2 + 5652685310146875*x^9*y^4 - 13566444744352500*x^7*y^6 + 10174833558264375*x^5*y^8 - 2261074124058750*x^3*y^10 + 102776096548125*x*y^12

13

-13:

102776096548125*x^12*y - 2261074124058750*x^10*y^3 + 10174833558264375*x^8*y^5 - 13566444744352500*x^6*y^7 + 5652685310146875*x^4*y^9 - 616656579288750*x^2*y^11 + 7905853580625*y^13

14

0:

-429/2048*x^14 - 3003/2048*x^12*y^2 - 9009/2048*x^10*y^4 - 15015/2048*x^8*y^6 - 15015/2048*x^6*y^8 - 9009/2048*x^4*y^10 - 3003/2048*x^2*y^12 - 429/2048*y^14 + 21021/1024*x^12*z^2 + 63063/512*x^10*y^2*z^2 + 315315/1024*x^8*y^4*z^2 + 105105/256*x^6*y^6*z^2 + 315315/1024*x^4*y^8*z^2 + 63063/512*x^2*y^10*z^2 + 21021/1024*y^12*z^2 - 63063/256*x^10*z^4 - 315315/256*x^8*y^2*z^4 - 315315/128*x^6*y^4*z^4 - 315315/128*x^4*y^6*z^4 - 315315/256*x^2*y^8*z^4 - 63063/256*y^10*z^4 + 105105/128*x^8*z^6 + 105105/32*x^6*y^2*z^6 + 315315/64*x^4*y^4*z^6 + 105105/32*x^2*y^6*z^6 + 105105/128*y^8*z^6 - 15015/16*x^6*z^8 - 45045/16*x^4*y^2*z^8 - 45045/16*x^2*y^4*z^8 - 15015/16*y^6*z^8 + 3003/8*x^4*z^10 + 3003/4*x^2*y^2*z^10 + 3003/8*y^4*z^10 - 91/2*x^2*z^12 - 91/2*y^2*z^12 + z^14

14

1:

45045/1024*x^13*z + 135135/512*x^11*y^2*z + 675675/1024*x^9*y^4*z + 225225/256*x^7*y^6*z + 675675/1024*x^5*y^8*z + 135135/512*x^3*y^10*z + 45045/1024*x*y^12*z - 315315/256*x^11*z^3 - 1576575/256*x^9*y^2*z^3 - 1576575/128*x^7*y^4*z^3 - 1576575/128*x^5*y^6*z^3 - 1576575/256*x^3*y^8*z^3 - 315315/256*x*y^10*z^3 + 945945/128*x^9*z^5 + 945945/32*x^7*y^2*z^5 + 2837835/64*x^5*y^4*z^5 + 945945/32*x^3*y^6*z^5 + 945945/128*x*y^8*z^5 - 225225/16*x^7*z^7 - 675675/16*x^5*y^2*z^7 - 675675/16*x^3*y^4*z^7 - 225225/16*x*y^6*z^7 + 75075/8*x^5*z^9 + 75075/4*x^3*y^2*z^9 + 75075/8*x*y^4*z^9 - 4095/2*x^3*z^11 - 4095/2*x*y^2*z^11 + 105*x*z^13

14

-1:

45045/1024*x^12*y*z + 135135/512*x^10*y^3*z + 675675/1024*x^8*y^5*z + 225225/256*x^6*y^7*z + 675675/1024*x^4*y^9*z + 135135/512*x^2*y^11*z + 45045/1024*y^13*z - 315315/256*x^10*y*z^3 - 1576575/256*x^8*y^3*z^3 - 1576575/128*x^6*y^5*z^3 - 1576575/128*x^4*y^7*z^3 - 1576575/256*x^2*y^9*z^3 - 315315/256*y^11*z^3 + 945945/128*x^8*y*z^5 + 945945/32*x^6*y^3*z^5 + 2837835/64*x^4*y^5*z^5 + 945945/32*x^2*y^7*z^5 + 945945/128*y^9*z^5 - 225225/16*x^6*y*z^7 - 675675/16*x^4*y^3*z^7 - 675675/16*x^2*y^5*z^7 - 225225/16*y^7*z^7 + 75075/8*x^4*y*z^9 + 75075/4*x^2*y^3*z^9 + 75075/8*y^5*z^9 - 4095/2*x^2*y*z^11 - 4095/2*y^3*z^11 + 105*y*z^13

14

2:

45045/1024*x^14 + 225225/1024*x^12*y^2 + 405405/1024*x^10*y^4 + 225225/1024*x^8*y^6 - 225225/1024*x^6*y^8 - 405405/1024*x^4*y^10 - 225225/1024*x^2*y^12 - 45045/1024*y^14 - 135135/32*x^12*z^2 - 135135/8*x^10*y^2*z^2 - 675675/32*x^8*y^4*z^2 + 675675/32*x^4*y^8*z^2 + 135135/8*x^2*y^10*z^2 + 135135/32*y^12*z^2 + 1576575/32*x^10*z^4 + 4729725/32*x^8*y^2*z^4 + 1576575/16*x^6*y^4*z^4 - 1576575/16*x^4*y^6*z^4 - 4729725/32*x^2*y^8*z^4 - 1576575/32*y^10*z^4 - 315315/2*x^8*z^6 - 315315*x^6*y^2*z^6 + 315315*x^2*y^6*z^6 + 315315/2*y^8*z^6 + 675675/4*x^6*z^8 + 675675/4*x^4*y^2*z^8 - 675675/4*x^2*y^4*z^8 - 675675/4*y^6*z^8 - 60060*x^4*z^10 + 60060*y^4*z^10 + 5460*x^2*z^12 - 5460*y^2*z^12

14

-2:

45045/512*x^13*y + 135135/256*x^11*y^3 + 675675/512*x^9*y^5 + 225225/128*x^7*y^7 + 675675/512*x^5*y^9 + 135135/256*x^3*y^11 + 45045/512*x*y^13 - 135135/16*x^11*y*z^2 - 675675/16*x^9*y^3*z^2 - 675675/8*x^7*y^5*z^2 - 675675/8*x^5*y^7*z^2 - 675675/16*x^3*y^9*z^2 - 135135/16*x*y^11*z^2 + 1576575/16*x^9*y*z^4 + 1576575/4*x^7*y^3*z^4 + 4729725/8*x^5*y^5*z^4 + 1576575/4*x^3*y^7*z^4 + 1576575/16*x*y^9*z^4 - 315315*x^7*y*z^6 - 945945*x^5*y^3*z^6 - 945945*x^3*y^5*z^6 - 315315*x*y^7*z^6 + 675675/2*x^5*y*z^8 + 675675*x^3*y^3*z^8 + 675675/2*x*y^5*z^8 - 120120*x^3*y*z^10 - 120120*x*y^3*z^10 + 10920*x*y*z^12

14

3:

-2297295/256*x^13*z - 2297295/128*x^11*y^2*z + 11486475/256*x^9*y^4*z + 11486475/64*x^7*y^6*z + 57432375/256*x^5*y^8*z + 16081065/128*x^3*y^10*z + 6891885/256*x*y^12*z + 3828825/16*x^11*z^3 + 3828825/16*x^9*y^2*z^3 - 11486475/8*x^7*y^4*z^3 - 26801775/8*x^5*y^6*z^3 - 42117075/16*x^3*y^8*z^3 - 11486475/16*x*y^10*z^3 - 5360355/4*x^9*z^5 + 16081065/2*x^5*y^4*z^5 + 10720710*x^3*y^6*z^5 + 16081065/4*x*y^8*z^5 + 2297295*x^7*z^7 - 2297295*x^5*y^2*z^7 - 11486475*x^3*y^4*z^7 - 6891885*x*y^6*z^7 - 1276275*x^5*z^9 + 2552550*x^3*y^2*z^9 + 3828825*x*y^4*z^9 + 185640*x^3*z^11 - 556920*x*y^2*z^11

14

-3:

-6891885/256*x^12*y*z - 16081065/128*x^10*y^3*z - 57432375/256*x^8*y^5*z - 11486475/64*x^6*y^7*z - 11486475/256*x^4*y^9*z + 2297295/128*x^2*y^11*z + 2297295/256*y^13*z + 11486475/16*x^10*y*z^3 + 42117075/16*x^8*y^3*z^3 + 26801775/8*x^6*y^5*z^3 + 11486475/8*x^4*y^7*z^3 - 3828825/16*x^2*y^9*z^3 - 3828825/16*y^11*z^3 - 16081065/4*x^8*y*z^5 - 10720710*x^6*y^3*z^5 - 16081065/2*x^4*y^5*z^5 + 5360355/4*y^9*z^5 + 6891885*x^6*y*z^7 + 11486475*x^4*y^3*z^7 + 2297295*x^2*y^5*z^7 - 2297295*y^7*z^7 - 3828825*x^4*y*z^9 - 2552550*x^2*y^3*z^9 + 1276275*y^5*z^9 + 556920*x^2*y*z^11 - 185640*y^3*z^11

14

4:

-2297295/256*x^14 + 2297295/256*x^12*y^2 + 43648605/256*x^10*y^4 + 103378275/256*x^8*y^6 + 103378275/256*x^6*y^8 + 43648605/256*x^4*y^10 + 2297295/256*x^2*y^12 - 2297295/256*y^14 + 103378275/128*x^12*z^2 - 103378275/64*x^10*y^2*z^2 - 1757430675/128*x^8*y^4*z^2 - 723647925/32*x^6*y^6*z^2 - 1757430675/128*x^4*y^8*z^2 - 103378275/64*x^2*y^10*z^2 + 103378275/128*y^12*z^2 - 34459425/4*x^10*z^4 + 103378275/4*x^8*y^2*z^4 + 241215975/2*x^6*y^4*z^4 + 241215975/2*x^4*y^6*z^4 + 103378275/4*x^2*y^8*z^4 - 34459425/4*y^10*z^4 + 48243195/2*x^8*z^6 - 96486390*x^6*y^2*z^6 - 241215975*x^4*y^4*z^6 - 96486390*x^2*y^6*z^6 + 48243195/2*y^8*z^6 - 20675655*x^6*z^8 + 103378275*x^4*y^2*z^8 + 103378275*x^2*y^4*z^8 - 20675655*y^6*z^8 + 4594590*x^4*z^10 - 27567540*x^2*y^2*z^10 + 4594590*y^4*z^10

14

-4:

-2297295/64*x^13*y - 2297295/16*x^11*y^3 - 11486475/64*x^9*y^5 + 11486475/64*x^5*y^9 + 2297295/16*x^3*y^11 + 2297295/64*x*y^13 + 103378275/32*x^11*y*z^2 + 310134825/32*x^9*y^3*z^2 + 103378275/16*x^7*y^5*z^2 - 103378275/16*x^5*y^7*z^2 - 310134825/32*x^3*y^9*z^2 - 103378275/32*x*y^11*z^2 - 34459425*x^9*y*z^4 - 68918850*x^7*y^3*z^4 + 68918850*x^3*y^7*z^4 + 34459425*x*y^9*z^4 + 96486390*x^7*y*z^6 + 96486390*x^5*y^3*z^6 - 96486390*x^3*y^5*z^6 - 96486390*x*y^7*z^6 - 82702620*x^5*y*z^8 + 82702620*x*y^5*z^8 + 18378360*x^3*y*z^10 - 18378360*x*y^3*z^10

14

5:

218243025/128*x^13*z - 654729075/64*x^11*y^2*z - 6329047725/128*x^9*y^4*z - 1964187225/32*x^7*y^6*z - 1964187225/128*x^5*y^8*z + 1091215125/64*x^3*y^10*z + 1091215125/128*x*y^12*z - 654729075/16*x^11*z^3 + 4583103525/16*x^9*y^2*z^3 + 7202019825/8*x^7*y^4*z^3 + 4583103525/8*x^5*y^6*z^3 - 3273645375/16*x^3*y^8*z^3 - 3273645375/16*x*y^10*z^3 + 392837445/2*x^9*z^5 - 1571349780*x^7*y^2*z^5 - 2749862115*x^5*y^4*z^5 + 1964187225/2*x*y^8*z^5 - 261891630*x^7*z^7 + 2357024670*x^5*y^2*z^7 + 1309458150*x^3*y^4*z^7 - 1309458150*x*y^6*z^7 + 87297210*x^5*z^9 - 872972100*x^3*y^2*z^9 + 436486050*x*y^4*z^9

14

-5:

1091215125/128*x^12*y*z + 1091215125/64*x^10*y^3*z - 1964187225/128*x^8*y^5*z - 1964187225/32*x^6*y^7*z - 6329047725/128*x^4*y^9*z - 654729075/64*x^2*y^11*z + 218243025/128*y^13*z - 3273645375/16*x^10*y*z^3 - 3273645375/16*x^8*y^3*z^3 + 4583103525/8*x^6*y^5*z^3 + 7202019825/8*x^4*y^7*z^3 + 4583103525/16*x^2*y^9*z^3 - 654729075/16*y^11*z^3 + 1964187225/2*x^8*y*z^5 - 2749862115*x^4*y^5*z^5 - 1571349780*x^2*y^7*z^5 + 392837445/2*y^9*z^5 - 1309458150*x^6*y*z^7 + 1309458150*x^4*y^3*z^7 + 2357024670*x^2*y^5*z^7 - 261891630*y^7*z^7 + 436486050*x^4*y*z^9 - 872972100*x^2*y^3*z^9 + 87297210*y^5*z^9

14

6:

218243025/128*x^14 - 2400673275/128*x^12*y^2 - 8511477975/128*x^10*y^4 - 5892561675/128*x^8*y^6 + 5892561675/128*x^6*y^8 + 8511477975/128*x^4*y^10 + 2400673275/128*x^2*y^12 - 218243025/128*y^14 - 1091215125/8*x^12*z^2 + 3273645375/2*x^10*y^2*z^2 + 29462808375/8*x^8*y^4*z^2 - 29462808375/8*x^4*y^8*z^2 - 3273645375/2*x^2*y^10*z^2 + 1091215125/8*y^12*z^2 + 9820936125/8*x^10*z^4 - 127672169625/8*x^8*y^2*z^4 - 68746552875/4*x^6*y^4*z^4 + 68746552875/4*x^4*y^6*z^4 + 127672169625/8*x^2*y^8*z^4 - 9820936125/8*y^10*z^4 - 2618916300*x^8*z^6 + 36664828200*x^6*y^2*z^6 - 36664828200*x^2*y^6*z^6 + 2618916300*y^8*z^6 + 1309458150*x^6*z^8 - 19641872250*x^4*y^2*z^8 + 19641872250*x^2*y^4*z^8 - 1309458150*y^6*z^8

14

-6:

654729075/64*x^13*y + 218243025/32*x^11*y^3 - 4146617475/64*x^9*y^5 - 1964187225/16*x^7*y^7 - 4146617475/64*x^5*y^9 + 218243025/32*x^3*y^11 + 654729075/64*x*y^13 - 3273645375/4*x^11*y*z^2 + 1091215125/4*x^9*y^3*z^2 + 9820936125/2*x^7*y^5*z^2 + 9820936125/2*x^5*y^7*z^2 + 1091215125/4*x^3*y^9*z^2 - 3273645375/4*x*y^11*z^2 + 29462808375/4*x^9*y*z^4 - 9820936125*x^7*y^3*z^4 - 68746552875/2*x^5*y^5*z^4 - 9820936125*x^3*y^7*z^4 + 29462808375/4*x*y^9*z^4 - 15713497800*x^7*y*z^6 + 36664828200*x^5*y^3*z^6 + 36664828200*x^3*y^5*z^6 - 15713497800*x*y^7*z^6 + 7856748900*x^5*y*z^8 - 26189163000*x^3*y^3*z^8 + 7856748900*x*y^5*z^8

14

7:

-4583103525/16*x^13*z + 41247931725/8*x^11*y^2*z + 114577588125/16*x^9*y^4*z - 41247931725/4*x^7*y^6*z - 288735522075/16*x^5*y^8*z - 32081724675/8*x^3*y^10*z + 32081724675/16*x*y^12*z + 22915517625/4*x^11*z^3 - 435394834875/4*x^9*y^2*z^3 - 68746552875/2*x^7*y^4*z^3 + 481225870125/2*x^5*y^6*z^3 + 481225870125/4*x^3*y^8*z^3 - 160408623375/4*x*y^10*z^3 - 41247931725/2*x^9*z^5 + 412479317250*x^7*y^2*z^5 - 288735522075*x^5*y^4*z^5 - 577471044150*x^3*y^6*z^5 + 288735522075/2*x*y^8*z^5 + 15713497800*x^7*z^7 - 329983453800*x^5*y^2*z^7 + 549972423000*x^3*y^4*z^7 - 109994484600*x*y^6*z^7

14

-7:

-32081724675/16*x^12*y*z + 32081724675/8*x^10*y^3*z + 288735522075/16*x^8*y^5*z + 41247931725/4*x^6*y^7*z - 114577588125/16*x^4*y^9*z - 41247931725/8*x^2*y^11*z + 4583103525/16*y^13*z + 160408623375/4*x^10*y*z^3 - 481225870125/4*x^8*y^3*z^3 - 481225870125/2*x^6*y^5*z^3 + 68746552875/2*x^4*y^7*z^3 + 435394834875/4*x^2*y^9*z^3 - 22915517625/4*y^11*z^3 - 288735522075/2*x^8*y*z^5 + 577471044150*x^6*y^3*z^5 + 288735522075*x^4*y^5*z^5 - 412479317250*x^2*y^7*z^5 + 41247931725/2*y^9*z^5 + 109994484600*x^6*y*z^7 - 549972423000*x^4*y^3*z^7 + 329983453800*x^2*y^5*z^7 - 15713497800*y^7*z^7

14

8:

-4583103525/16*x^14 + 114577588125/16*x^12*y^2 + 50414138775/16*x^10*y^4 - 453727248975/16*x^8*y^6 - 453727248975/16*x^6*y^8 + 50414138775/16*x^4*y^10 + 114577588125/16*x^2*y^12 - 4583103525/16*y^14 + 151242416325/8*x^12*z^2 - 1966151412225/4*x^10*y^2*z^2 + 2268636244875/8*x^8*y^4*z^2 + 3176090742825/2*x^6*y^6*z^2 + 2268636244875/8*x^4*y^8*z^2 - 1966151412225/4*x^2*y^10*z^2 + 151242416325/8*y^12*z^2 - 252070693875/2*x^10*z^4 + 6805908734625/2*x^8*y^2*z^4 - 5293484571375*x^6*y^4*z^4 - 5293484571375*x^4*y^6*z^4 + 6805908734625/2*x^2*y^8*z^4 - 252070693875/2*y^10*z^4 + 151242416325*x^8*z^6 - 4234787657100*x^6*y^2*z^6 + 10586969142750*x^4*y^4*z^6 - 4234787657100*x^2*y^6*z^6 + 151242416325*y^8*z^6

14

-8:

-4583103525/2*x^13*y + 9166207050*x^11*y^3 + 50414138775/2*x^9*y^5 - 50414138775/2*x^5*y^9 - 9166207050*x^3*y^11 + 4583103525/2*x*y^13 + 151242416325*x^11*y*z^2 - 756212081625*x^9*y^3*z^2 - 907454497950*x^7*y^5*z^2 + 907454497950*x^5*y^7*z^2 + 756212081625*x^3*y^9*z^2 - 151242416325*x*y^11*z^2 - 1008282775500*x^9*y*z^4 + 6049696653000*x^7*y^3*z^4 - 6049696653000*x^3*y^7*z^4 + 1008282775500*x*y^9*z^4 + 1209939330600*x^7*y*z^6 - 8469575314200*x^5*y^3*z^6 + 8469575314200*x^3*y^5*z^6 - 1209939330600*x*y^7*z^6

14

9:

316234143225/8*x^13*z - 5375980434825/4*x^11*y^2*z + 17392877877375/8*x^9*y^4*z + 10435726726425/2*x^7*y^6*z - 10435726726425/8*x^5*y^8*z - 10435726726425/4*x^3*y^10*z + 2846107289025/8*x*y^12*z - 1159525191825/2*x^11*z^3 + 40583381713875/2*x^9*y^2*z^3 - 52178633632125*x^7*y^4*z^3 - 24350029028325*x^5*y^6*z^3 + 86964389386875/2*x^3*y^8*z^3 - 10435726726425/2*x*y^10*z^3 + 1159525191825*x^9*z^5 - 41742906905700*x^7*y^2*z^5 + 146100174169950*x^5*y^4*z^5 - 97400116113300*x^3*y^6*z^5 + 10435726726425*x*y^8*z^5

14

-9:

2846107289025/8*x^12*y*z - 10435726726425/4*x^10*y^3*z - 10435726726425/8*x^8*y^5*z + 10435726726425/2*x^6*y^7*z + 17392877877375/8*x^4*y^9*z - 5375980434825/4*x^2*y^11*z + 316234143225/8*y^13*z - 10435726726425/2*x^10*y*z^3 + 86964389386875/2*x^8*y^3*z^3 - 24350029028325*x^6*y^5*z^3 - 52178633632125*x^4*y^7*z^3 + 40583381713875/2*x^2*y^9*z^3 - 1159525191825/2*y^11*z^3 + 10435726726425*x^8*y*z^5 - 97400116113300*x^6*y^3*z^5 + 146100174169950*x^4*y^5*z^5 - 41742906905700*x^2*y^7*z^5 + 1159525191825*y^9*z^5

14

10:

316234143225/8*x^14 - 13598068158675/8*x^12*y^2 + 38264331330225/8*x^10*y^4 + 52178633632125/8*x^8*y^6 - 52178633632125/8*x^6*y^8 - 38264331330225/8*x^4*y^10 + 13598068158675/8*x^2*y^12 - 316234143225/8*y^14 - 1897404859350*x^12*z^2 + 83485813811400*x^10*y^2*z^2 - 313071801792750*x^8*y^4*z^2 + 313071801792750*x^4*y^8*z^2 - 83485813811400*x^2*y^10*z^2 + 1897404859350*y^12*z^2 + 6957151150950*x^10*z^4 - 313071801792750*x^8*y^2*z^4 + 1461001741699500*x^6*y^4*z^4 - 1461001741699500*x^4*y^6*z^4 + 313071801792750*x^2*y^8*z^4 - 6957151150950*y^10*z^4

14

-10:

1581170716125/4*x^13*y - 7905853580625/2*x^11*y^3 + 3478575575475/4*x^9*y^5 + 10435726726425*x^7*y^7 + 3478575575475/4*x^5*y^9 - 7905853580625/2*x^3*y^11 + 1581170716125/4*x*y^13 - 18974048593500*x^11*y*z^2 + 208714534528500*x^9*y^3*z^2 - 250457441434200*x^7*y^5*z^2 - 250457441434200*x^5*y^7*z^2 + 208714534528500*x^3*y^9*z^2 - 18974048593500*x*y^11*z^2 + 69571511509500*x^9*y*z^4 - 834858138114000*x^7*y^3*z^4 + 1753202090039400*x^5*y^5*z^4 - 834858138114000*x^3*y^7*z^4 + 69571511509500*x*y^9*z^4

14

11:

-7905853580625/2*x^13*z + 213458046676875*x^11*y^2*z - 2174109734671875/2*x^9*y^4*z + 521786336321250*x^7*y^6*z + 2348038513445625/2*x^5*y^8*z - 608750725708125*x^3*y^10*z + 86964389386875/2*x*y^12*z + 31623414322500*x^11*z^3 - 1739287787737500*x^9*y^2*z^3 + 10435726726425000*x^7*y^4*z^3 - 14610017416995000*x^5*y^6*z^3 + 5217863363212500*x^3*y^8*z^3 - 347857557547500*x*y^10*z^3

14

-11:

-86964389386875/2*x^12*y*z + 608750725708125*x^10*y^3*z - 2348038513445625/2*x^8*y^5*z - 521786336321250*x^6*y^7*z + 2174109734671875/2*x^4*y^9*z - 213458046676875*x^2*y^11*z + 7905853580625/2*y^13*z + 347857557547500*x^10*y*z^3 - 5217863363212500*x^8*y^3*z^3 + 14610017416995000*x^6*y^5*z^3 - 10435726726425000*x^4*y^7*z^3 + 1739287787737500*x^2*y^9*z^3 - 31623414322500*y^11*z^3

14

12:

-7905853580625/2*x^14 + 513880482740625/2*x^12*y^2 - 3391611186088125/2*x^10*y^4 + 3391611186088125/2*x^8*y^6 + 3391611186088125/2*x^6*y^8 - 3391611186088125/2*x^4*y^10 + 513880482740625/2*x^2*y^12 - 7905853580625/2*y^14 + 102776096548125*x^12*z^2 - 6783222372176250*x^10*y^2*z^2 + 50874167791321875*x^8*y^4*z^2 - 94965113210467500*x^6*y^6*z^2 + 50874167791321875*x^4*y^8*z^2 - 6783222372176250*x^2*y^10*z^2 + 102776096548125*y^12*z^2

14

-12:

-47435121483750*x^13*y + 822208772385000*x^11*y^3 - 2261074124058750*x^9*y^5 + 2261074124058750*x^5*y^9 - 822208772385000*x^3*y^11 + 47435121483750*x*y^13 + 1233313158577500*x^11*y*z^2 - 22610741240587500*x^9*y^3*z^2 + 81398668466115000*x^7*y^5*z^2 - 81398668466115000*x^5*y^7*z^2 + 22610741240587500*x^3*y^9*z^2 - 1233313158577500*x*y^11*z^2

14

13:

213458046676875*x^13*z - 16649727640796250*x^11*y^2*z + 152622503373965625*x^9*y^4*z - 366294008097517500*x^7*y^6*z + 274720506073138125*x^5*y^8*z - 61049001349586250*x^3*y^10*z + 2774954606799375*x*y^12*z

14

-13:

2774954606799375*x^12*y*z - 61049001349586250*x^10*y^3*z + 274720506073138125*x^8*y^5*z - 366294008097517500*x^6*y^7*z + 152622503373965625*x^4*y^9*z - 16649727640796250*x^2*y^11*z + 213458046676875*y^13*z

14

14:

213458046676875*x^14 - 19424682247595625*x^12*y^2 + 213671504723551875*x^10*y^4 - 641014514170655625*x^8*y^6 + 641014514170655625*x^6*y^8 - 213671504723551875*x^4*y^10 + 19424682247595625*x^2*y^12 - 213458046676875*y^14

14

-14:

2988412653476250*x^13*y - 77698728990382500*x^11*y^3 + 427343009447103750*x^9*y^5 - 732588016195035000*x^7*y^7 + 427343009447103750*x^5*y^9 - 77698728990382500*x^3*y^11 + 2988412653476250*x*y^13

15

0:

-6435/2048*x^14*z - 45045/2048*x^12*y^2*z - 135135/2048*x^10*y^4*z - 225225/2048*x^8*y^6*z - 225225/2048*x^6*y^8*z - 135135/2048*x^4*y^10*z - 45045/2048*x^2*y^12*z - 6435/2048*y^14*z + 105105/1024*x^12*z^3 + 315315/512*x^10*y^2*z^3 + 1576575/1024*x^8*y^4*z^3 + 525525/256*x^6*y^6*z^3 + 1576575/1024*x^4*y^8*z^3 + 315315/512*x^2*y^10*z^3 + 105105/1024*y^12*z^3 - 189189/256*x^10*z^5 - 945945/256*x^8*y^2*z^5 - 945945/128*x^6*y^4*z^5 - 945945/128*x^4*y^6*z^5 - 945945/256*x^2*y^8*z^5 - 189189/256*y^10*z^5 + 225225/128*x^8*z^7 + 225225/32*x^6*y^2*z^7 + 675675/64*x^4*y^4*z^7 + 225225/32*x^2*y^6*z^7 + 225225/128*y^8*z^7 - 25025/16*x^6*z^9 - 75075/16*x^4*y^2*z^9 - 75075/16*x^2*y^4*z^9 - 25025/16*y^6*z^9 + 4095/8*x^4*z^11 + 4095/4*x^2*y^2*z^11 + 4095/8*y^4*z^11 - 105/2*x^2*z^13 - 105/2*y^2*z^13 + z^15

15

1:

-6435/2048*x^15 - 45045/2048*x^13*y^2 - 135135/2048*x^11*y^4 - 225225/2048*x^9*y^6 - 225225/2048*x^7*y^8 - 135135/2048*x^5*y^10 - 45045/2048*x^3*y^12 - 6435/2048*x*y^14 + 45045/128*x^13*z^2 + 135135/64*x^11*y^2*z^2 + 675675/128*x^9*y^4*z^2 + 225225/32*x^7*y^6*z^2 + 675675/128*x^5*y^8*z^2 + 135135/64*x^3*y^10*z^2 + 45045/128*x*y^12*z^2 - 315315/64*x^11*z^4 - 1576575/64*x^9*y^2*z^4 - 1576575/32*x^7*y^4*z^4 - 1576575/32*x^5*y^6*z^4 - 1576575/64*x^3*y^8*z^4 - 315315/64*x*y^10*z^4 + 315315/16*x^9*z^6 + 315315/4*x^7*y^2*z^6 + 945945/8*x^5*y^4*z^6 + 315315/4*x^3*y^6*z^6 + 315315/16*x*y^8*z^6 - 225225/8*x^7*z^8 - 675675/8*x^5*y^2*z^8 - 675675/8*x^3*y^4*z^8 - 225225/8*x*y^6*z^8 + 15015*x^5*z^10 + 30030*x^3*y^2*z^10 + 15015*x*y^4*z^10 - 2730*x^3*z^12 - 2730*x*y^2*z^12 + 120*x*z^14

15

-1:

-6435/2048*x^14*y - 45045/2048*x^12*y^3 - 135135/2048*x^10*y^5 - 225225/2048*x^8*y^7 - 225225/2048*x^6*y^9 - 135135/2048*x^4*y^11 - 45045/2048*x^2*y^13 - 6435/2048*y^15 + 45045/128*x^12*y*z^2 + 135135/64*x^10*y^3*z^2 + 675675/128*x^8*y^5*z^2 + 225225/32*x^6*y^7*z^2 + 675675/128*x^4*y^9*z^2 + 135135/64*x^2*y^11*z^2 + 45045/128*y^13*z^2 - 315315/64*x^10*y*z^4 - 1576575/64*x^8*y^3*z^4 - 1576575/32*x^6*y^5*z^4 - 1576575/32*x^4*y^7*z^4 - 1576575/64*x^2*y^9*z^4 - 315315/64*y^11*z^4 + 315315/16*x^8*y*z^6 + 315315/4*x^6*y^3*z^6 + 945945/8*x^4*y^5*z^6 + 315315/4*x^2*y^7*z^6 + 315315/16*y^9*z^6 - 225225/8*x^6*y*z^8 - 675675/8*x^4*y^3*z^8 - 675675/8*x^2*y^5*z^8 - 225225/8*y^7*z^8 + 15015*x^4*y*z^10 + 30030*x^2*y^3*z^10 + 15015*y^5*z^10 - 2730*x^2*y*z^12 - 2730*y^3*z^12 + 120*y*z^14

15

2:

765765/1024*x^14*z + 3828825/1024*x^12*y^2*z + 6891885/1024*x^10*y^4*z + 3828825/1024*x^8*y^6*z - 3828825/1024*x^6*y^8*z - 6891885/1024*x^4*y^10*z - 3828825/1024*x^2*y^12*z - 765765/1024*y^14*z - 765765/32*x^12*z^3 - 765765/8*x^10*y^2*z^3 - 3828825/32*x^8*y^4*z^3 + 3828825/32*x^4*y^8*z^3 + 765765/8*x^2*y^10*z^3 + 765765/32*y^12*z^3 + 5360355/32*x^10*z^5 + 16081065/32*x^8*y^2*z^5 + 5360355/16*x^6*y^4*z^5 - 5360355/16*x^4*y^6*z^5 - 16081065/32*x^2*y^8*z^5 - 5360355/32*y^10*z^5 - 765765/2*x^8*z^7 - 765765*x^6*y^2*z^7 + 765765*x^2*y^6*z^7 + 765765/2*y^8*z^7 + 1276275/4*x^6*z^9 + 1276275/4*x^4*y^2*z^9 - 1276275/4*x^2*y^4*z^9 - 1276275/4*y^6*z^9 - 92820*x^4*z^11 + 92820*y^4*z^11 + 7140*x^2*z^13 - 7140*y^2*z^13

15

-2:

765765/512*x^13*y*z + 2297295/256*x^11*y^3*z + 11486475/512*x^9*y^5*z + 3828825/128*x^7*y^7*z + 11486475/512*x^5*y^9*z + 2297295/256*x^3*y^11*z + 765765/512*x*y^13*z - 765765/16*x^11*y*z^3 - 3828825/16*x^9*y^3*z^3 - 3828825/8*x^7*y^5*z^3 - 3828825/8*x^5*y^7*z^3 - 3828825/16*x^3*y^9*z^3 - 765765/16*x*y^11*z^3 + 5360355/16*x^9*y*z^5 + 5360355/4*x^7*y^3*z^5 + 16081065/8*x^5*y^5*z^5 + 5360355/4*x^3*y^7*z^5 + 5360355/16*x*y^9*z^5 - 765765*x^7*y*z^7 - 2297295*x^5*y^3*z^7 - 2297295*x^3*y^5*z^7 - 765765*x*y^7*z^7 + 1276275/2*x^5*y*z^9 + 1276275*x^3*y^3*z^9 + 1276275/2*x*y^5*z^9 - 185640*x^3*y*z^11 - 185640*x*y^3*z^11 + 14280*x*y*z^13

15

3:

765765/1024*x^15 + 2297295/1024*x^13*y^2 - 2297295/1024*x^11*y^4 - 19144125/1024*x^9*y^6 - 34459425/1024*x^7*y^8 - 29864835/1024*x^5*y^10 - 13018005/1024*x^3*y^12 - 2297295/1024*x*y^14 - 20675655/256*x^13*z^2 - 20675655/128*x^11*y^2*z^2 + 103378275/256*x^9*y^4*z^2 + 103378275/64*x^7*y^6*z^2 + 516891375/256*x^5*y^8*z^2 + 144729585/128*x^3*y^10*z^2 + 62026965/256*x*y^12*z^2 + 34459425/32*x^11*z^4 + 34459425/32*x^9*y^2*z^4 - 103378275/16*x^7*y^4*z^4 - 241215975/16*x^5*y^6*z^4 - 379053675/32*x^3*y^8*z^4 - 103378275/32*x*y^10*z^4 - 16081065/4*x^9*z^6 + 48243195/2*x^5*y^4*z^6 + 32162130*x^3*y^6*z^6 + 48243195/4*x*y^8*z^6 + 20675655/4*x^7*z^8 - 20675655/4*x^5*y^2*z^8 - 103378275/4*x^3*y^4*z^8 - 62026965/4*x*y^6*z^8 - 2297295*x^5*z^10 + 4594590*x^3*y^2*z^10 + 6891885*x*y^4*z^10 + 278460*x^3*z^12 - 835380*x*y^2*z^12

15

-3:

2297295/1024*x^14*y + 13018005/1024*x^12*y^3 + 29864835/1024*x^10*y^5 + 34459425/1024*x^8*y^7 + 19144125/1024*x^6*y^9 + 2297295/1024*x^4*y^11 - 2297295/1024*x^2*y^13 - 765765/1024*y^15 - 62026965/256*x^12*y*z^2 - 144729585/128*x^10*y^3*z^2 - 516891375/256*x^8*y^5*z^2 - 103378275/64*x^6*y^7*z^2 - 103378275/256*x^4*y^9*z^2 + 20675655/128*x^2*y^11*z^2 + 20675655/256*y^13*z^2 + 103378275/32*x^10*y*z^4 + 379053675/32*x^8*y^3*z^4 + 241215975/16*x^6*y^5*z^4 + 103378275/16*x^4*y^7*z^4 - 34459425/32*x^2*y^9*z^4 - 34459425/32*y^11*z^4 - 48243195/4*x^8*y*z^6 - 32162130*x^6*y^3*z^6 - 48243195/2*x^4*y^5*z^6 + 16081065/4*y^9*z^6 + 62026965/4*x^6*y*z^8 + 103378275/4*x^4*y^3*z^8 + 20675655/4*x^2*y^5*z^8 - 20675655/4*y^7*z^8 - 6891885*x^4*y*z^10 - 4594590*x^2*y^3*z^10 + 2297295*y^5*z^10 + 835380*x^2*y*z^12 - 278460*y^3*z^12

15

4:

-43648605/256*x^14*z + 43648605/256*x^12*y^2*z + 829323495/256*x^10*y^4*z + 1964187225/256*x^8*y^6*z + 1964187225/256*x^6*y^8*z + 829323495/256*x^4*y^10*z + 43648605/256*x^2*y^12*z - 43648605/256*y^14*z + 654729075/128*x^12*z^3 - 654729075/64*x^10*y^2*z^3 - 11130394275/128*x^8*y^4*z^3 - 4583103525/32*x^6*y^6*z^3 - 11130394275/128*x^4*y^8*z^3 - 654729075/64*x^2*y^10*z^3 + 654729075/128*y^12*z^3 - 130945815/4*x^10*z^5 + 392837445/4*x^8*y^2*z^5 + 916620705/2*x^6*y^4*z^5 + 916620705/2*x^4*y^6*z^5 + 392837445/4*x^2*y^8*z^5 - 130945815/4*y^10*z^5 + 130945815/2*x^8*z^7 - 261891630*x^6*y^2*z^7 - 654729075*x^4*y^4*z^7 - 261891630*x^2*y^6*z^7 + 130945815/2*y^8*z^7 - 43648605*x^6*z^9 + 218243025*x^4*y^2*z^9 + 218243025*x^2*y^4*z^9 - 43648605*y^6*z^9 + 7936110*x^4*z^11 - 47616660*x^2*y^2*z^11 + 7936110*y^4*z^11

15

-4:

-43648605/64*x^13*y*z - 43648605/16*x^11*y^3*z - 218243025/64*x^9*y^5*z + 218243025/64*x^5*y^9*z + 43648605/16*x^3*y^11*z + 43648605/64*x*y^13*z + 654729075/32*x^11*y*z^3 + 1964187225/32*x^9*y^3*z^3 + 654729075/16*x^7*y^5*z^3 - 654729075/16*x^5*y^7*z^3 - 1964187225/32*x^3*y^9*z^3 - 654729075/32*x*y^11*z^3 - 130945815*x^9*y*z^5 - 261891630*x^7*y^3*z^5 + 261891630*x^3*y^7*z^5 + 130945815*x*y^9*z^5 + 261891630*x^7*y*z^7 + 261891630*x^5*y^3*z^7 - 261891630*x^3*y^5*z^7 - 261891630*x*y^7*z^7 - 174594420*x^5*y*z^9 + 174594420*x*y^5*z^9 + 31744440*x^3*y*z^11 - 31744440*x*y^3*z^11

15

5:

-43648605/256*x^15 + 218243025/256*x^13*y^2 + 1527701175/256*x^11*y^4 + 2837159325/256*x^9*y^6 + 1964187225/256*x^7*y^8 - 43648605/256*x^5*y^10 - 654729075/256*x^3*y^12 - 218243025/256*x*y^14 + 1091215125/64*x^13*z^2 - 3273645375/32*x^11*y^2*z^2 - 31645238625/64*x^9*y^4*z^2 - 9820936125/16*x^7*y^6*z^2 - 9820936125/64*x^5*y^8*z^2 + 5456075625/32*x^3*y^10*z^2 + 5456075625/64*x*y^12*z^2 - 3273645375/16*x^11*z^4 + 22915517625/16*x^9*y^2*z^4 + 36010099125/8*x^7*y^4*z^4 + 22915517625/8*x^5*y^6*z^4 - 16368226875/16*x^3*y^8*z^4 - 16368226875/16*x*y^10*z^4 + 654729075*x^9*z^6 - 5237832600*x^7*y^2*z^6 - 9166207050*x^5*y^4*z^6 + 3273645375*x*y^8*z^6 - 654729075*x^7*z^8 + 5892561675*x^5*y^2*z^8 + 3273645375*x^3*y^4*z^8 - 3273645375*x*y^6*z^8 + 174594420*x^5*z^10 - 1745944200*x^3*y^2*z^10 + 872972100*x*y^4*z^10

15

-5:

-218243025/256*x^14*y - 654729075/256*x^12*y^3 - 43648605/256*x^10*y^5 + 1964187225/256*x^8*y^7 + 2837159325/256*x^6*y^9 + 1527701175/256*x^4*y^11 + 218243025/256*x^2*y^13 - 43648605/256*y^15 + 5456075625/64*x^12*y*z^2 + 5456075625/32*x^10*y^3*z^2 - 9820936125/64*x^8*y^5*z^2 - 9820936125/16*x^6*y^7*z^2 - 31645238625/64*x^4*y^9*z^2 - 3273645375/32*x^2*y^11*z^2 + 1091215125/64*y^13*z^2 - 16368226875/16*x^10*y*z^4 - 16368226875/16*x^8*y^3*z^4 + 22915517625/8*x^6*y^5*z^4 + 36010099125/8*x^4*y^7*z^4 + 22915517625/16*x^2*y^9*z^4 - 3273645375/16*y^11*z^4 + 3273645375*x^8*y*z^6 - 9166207050*x^4*y^5*z^6 - 5237832600*x^2*y^7*z^6 + 654729075*y^9*z^6 - 3273645375*x^6*y*z^8 + 3273645375*x^4*y^3*z^8 + 5892561675*x^2*y^5*z^8 - 654729075*y^7*z^8 + 872972100*x^4*y*z^10 - 1745944200*x^2*y^3*z^10 + 174594420*y^5*z^10

15

6:

4583103525/128*x^14*z - 50414138775/128*x^12*y^2*z - 178741037475/128*x^10*y^4*z - 123743795175/128*x^8*y^6*z + 123743795175/128*x^6*y^8*z + 178741037475/128*x^4*y^10*z + 50414138775/128*x^2*y^12*z - 4583103525/128*y^14*z - 7638505875/8*x^12*z^3 + 22915517625/2*x^10*y^2*z^3 + 206239658625/8*x^8*y^4*z^3 - 206239658625/8*x^4*y^8*z^3 - 22915517625/2*x^2*y^10*z^3 + 7638505875/8*y^12*z^3 + 41247931725/8*x^10*z^5 - 536223112425/8*x^8*y^2*z^5 - 288735522075/4*x^6*y^4*z^5 + 288735522075/4*x^4*y^6*z^5 + 536223112425/8*x^2*y^8*z^5 - 41247931725/8*y^10*z^5 - 7856748900*x^8*z^7 + 109994484600*x^6*y^2*z^7 - 109994484600*x^2*y^6*z^7 + 7856748900*y^8*z^7 + 3055402350*x^6*z^9 - 45831035250*x^4*y^2*z^9 + 45831035250*x^2*y^4*z^9 - 3055402350*y^6*z^9

15

-6:

13749310575/64*x^13*y*z + 4583103525/32*x^11*y^3*z - 87078966975/64*x^9*y^5*z - 41247931725/16*x^7*y^7*z - 87078966975/64*x^5*y^9*z + 4583103525/32*x^3*y^11*z + 13749310575/64*x*y^13*z - 22915517625/4*x^11*y*z^3 + 7638505875/4*x^9*y^3*z^3 + 68746552875/2*x^7*y^5*z^3 + 68746552875/2*x^5*y^7*z^3 + 7638505875/4*x^3*y^9*z^3 - 22915517625/4*x*y^11*z^3 + 123743795175/4*x^9*y*z^5 - 41247931725*x^7*y^3*z^5 - 288735522075/2*x^5*y^5*z^5 - 41247931725*x^3*y^7*z^5 + 123743795175/4*x*y^9*z^5 - 47140493400*x^7*y*z^7 + 109994484600*x^5*y^3*z^7 + 109994484600*x^3*y^5*z^7 - 47140493400*x*y^7*z^7 + 18332414100*x^5*y*z^9 - 61108047000*x^3*y^3*z^9 + 18332414100*x*y^5*z^9

15

7:

4583103525/128*x^15 - 77912759925/128*x^13*y^2 - 197073451575/128*x^11*y^4 + 50414138775/128*x^9*y^6 + 453727248975/128*x^7*y^8 + 352898971425/128*x^5*y^10 + 32081724675/128*x^3*y^12 - 32081724675/128*x*y^14 - 50414138775/16*x^13*z^2 + 453727248975/8*x^11*y^2*z^2 + 1260353469375/16*x^9*y^4*z^2 - 453727248975/4*x^7*y^6*z^2 - 3176090742825/16*x^5*y^8*z^2 - 352898971425/8*x^3*y^10*z^2 + 352898971425/16*x*y^12*z^2 + 252070693875/8*x^11*z^4 - 4789343183625/8*x^9*y^2*z^4 - 756212081625/4*x^7*y^4*z^4 + 5293484571375/4*x^5*y^6*z^4 + 5293484571375/8*x^3*y^8*z^4 - 1764494857125/8*x*y^10*z^4 - 151242416325/2*x^9*z^6 + 1512424163250*x^7*y^2*z^6 - 1058696914275*x^5*y^4*z^6 - 2117393828550*x^3*y^6*z^6 + 1058696914275/2*x*y^8*z^6 + 43212118950*x^7*z^8 - 907454497950*x^5*y^2*z^8 + 1512424163250*x^3*y^4*z^8 - 302484832650*x*y^6*z^8

15

-7:

32081724675/128*x^14*y - 32081724675/128*x^12*y^3 - 352898971425/128*x^10*y^5 - 453727248975/128*x^8*y^7 - 50414138775/128*x^6*y^9 + 197073451575/128*x^4*y^11 + 77912759925/128*x^2*y^13 - 4583103525/128*y^15 - 352898971425/16*x^12*y*z^2 + 352898971425/8*x^10*y^3*z^2 + 3176090742825/16*x^8*y^5*z^2 + 453727248975/4*x^6*y^7*z^2 - 1260353469375/16*x^4*y^9*z^2 - 453727248975/8*x^2*y^11*z^2 + 50414138775/16*y^13*z^2 + 1764494857125/8*x^10*y*z^4 - 5293484571375/8*x^8*y^3*z^4 - 5293484571375/4*x^6*y^5*z^4 + 756212081625/4*x^4*y^7*z^4 + 4789343183625/8*x^2*y^9*z^4 - 252070693875/8*y^11*z^4 - 1058696914275/2*x^8*y*z^6 + 2117393828550*x^6*y^3*z^6 + 1058696914275*x^4*y^5*z^6 - 1512424163250*x^2*y^7*z^6 + 151242416325/2*y^9*z^6 + 302484832650*x^6*y*z^8 - 1512424163250*x^4*y^3*z^8 + 907454497950*x^2*y^5*z^8 - 43212118950*y^7*z^8

15

8:

-105411381075/16*x^14*z + 2635284526875/16*x^12*y^2*z + 1159525191825/16*x^10*y^4*z - 10435726726425/16*x^8*y^6*z - 10435726726425/16*x^6*y^8*z + 1159525191825/16*x^4*y^10*z + 2635284526875/16*x^2*y^12*z - 105411381075/16*y^14*z + 1159525191825/8*x^12*z^3 - 15073827493725/4*x^10*y^2*z^3 + 17392877877375/8*x^8*y^4*z^3 + 24350029028325/2*x^6*y^6*z^3 + 17392877877375/8*x^4*y^8*z^3 - 15073827493725/4*x^2*y^10*z^3 + 1159525191825/8*y^12*z^3 - 1159525191825/2*x^10*z^5 + 31307180179275/2*x^8*y^2*z^5 - 24350029028325*x^6*y^4*z^5 - 24350029028325*x^4*y^6*z^5 + 31307180179275/2*x^2*y^8*z^5 - 1159525191825/2*y^10*z^5 + 496939367925*x^8*z^7 - 13914302301900*x^6*y^2*z^7 + 34785755754750*x^4*y^4*z^7 - 13914302301900*x^2*y^6*z^7 + 496939367925*y^8*z^7

15

-8:

-105411381075/2*x^13*y*z + 210822762150*x^11*y^3*z + 1159525191825/2*x^9*y^5*z - 1159525191825/2*x^5*y^9*z - 210822762150*x^3*y^11*z + 105411381075/2*x*y^13*z + 1159525191825*x^11*y*z^3 - 5797625959125*x^9*y^3*z^3 - 6957151150950*x^7*y^5*z^3 + 6957151150950*x^5*y^7*z^3 + 5797625959125*x^3*y^9*z^3 - 1159525191825*x*y^11*z^3 - 4638100767300*x^9*y*z^5 + 27828604603800*x^7*y^3*z^5 - 27828604603800*x^3*y^7*z^5 + 4638100767300*x*y^9*z^5 + 3975514943400*x^7*y*z^7 - 27828604603800*x^5*y^3*z^7 + 27828604603800*x^3*y^5*z^7 - 3975514943400*x*y^7*z^7

15

9:

-105411381075/16*x^15 + 3478575575475/16*x^13*y^2 - 2213639002575/16*x^11*y^4 - 19711928261025/16*x^9*y^6 - 10435726726425/16*x^7*y^8 + 10435726726425/16*x^5*y^10 + 6008448721275/16*x^3*y^12 - 948702429675/16*x*y^14 + 948702429675/2*x^13*z^2 - 16127941304475*x^11*y^2*z^2 + 52178633632125/2*x^9*y^4*z^2 + 62614360358550*x^7*y^6*z^2 - 31307180179275/2*x^5*y^8*z^2 - 31307180179275*x^3*y^10*z^2 + 8538321867075/2*x*y^12*z^2 - 3478575575475*x^11*z^4 + 121750145141625*x^9*y^2*z^4 - 313071801792750*x^7*y^4*z^4 - 146100174169950*x^5*y^6*z^4 + 260893168160625*x^3*y^8*z^4 - 31307180179275*x*y^10*z^4 + 4638100767300*x^9*z^6 - 166971627622800*x^7*y^2*z^6 + 584400696679800*x^5*y^4*z^6 - 389600464453200*x^3*y^6*z^6 + 41742906905700*x*y^8*z^6

15

-9:

-948702429675/16*x^14*y + 6008448721275/16*x^12*y^3 + 10435726726425/16*x^10*y^5 - 10435726726425/16*x^8*y^7 - 19711928261025/16*x^6*y^9 - 2213639002575/16*x^4*y^11 + 3478575575475/16*x^2*y^13 - 105411381075/16*y^15 + 8538321867075/2*x^12*y*z^2 - 31307180179275*x^10*y^3*z^2 - 31307180179275/2*x^8*y^5*z^2 + 62614360358550*x^6*y^7*z^2 + 52178633632125/2*x^4*y^9*z^2 - 16127941304475*x^2*y^11*z^2 + 948702429675/2*y^13*z^2 - 31307180179275*x^10*y*z^4 + 260893168160625*x^8*y^3*z^4 - 146100174169950*x^6*y^5*z^4 - 313071801792750*x^4*y^7*z^4 + 121750145141625*x^2*y^9*z^4 - 3478575575475*y^11*z^4 + 41742906905700*x^8*y*z^6 - 389600464453200*x^6*y^3*z^6 + 584400696679800*x^4*y^5*z^6 - 166971627622800*x^2*y^7*z^6 + 4638100767300*y^9*z^6

15

10:

7905853580625/8*x^14*z - 339951703966875/8*x^12*y^2*z + 956608283255625/8*x^10*y^4*z + 1304465840803125/8*x^8*y^6*z - 1304465840803125/8*x^6*y^8*z - 956608283255625/8*x^4*y^10*z + 339951703966875/8*x^2*y^12*z - 7905853580625/8*y^14*z - 15811707161250*x^12*z^3 + 695715115095000*x^10*y^2*z^3 - 2608931681606250*x^8*y^4*z^3 + 2608931681606250*x^4*y^8*z^3 - 695715115095000*x^2*y^10*z^3 + 15811707161250*y^12*z^3 + 34785755754750*x^10*z^5 - 1565359008963750*x^8*y^2*z^5 + 7305008708497500*x^6*y^4*z^5 - 7305008708497500*x^4*y^6*z^5 + 1565359008963750*x^2*y^8*z^5 - 34785755754750*y^10*z^5

15

-10:

39529267903125/4*x^13*y*z - 197646339515625/2*x^11*y^3*z + 86964389386875/4*x^9*y^5*z + 260893168160625*x^7*y^7*z + 86964389386875/4*x^5*y^9*z - 197646339515625/2*x^3*y^11*z + 39529267903125/4*x*y^13*z - 158117071612500*x^11*y*z^3 + 1739287787737500*x^9*y^3*z^3 - 2087145345285000*x^7*y^5*z^3 - 2087145345285000*x^5*y^7*z^3 + 1739287787737500*x^3*y^9*z^3 - 158117071612500*x*y^11*z^3 + 347857557547500*x^9*y*z^5 - 4174290690570000*x^7*y^3*z^5 + 8766010450197000*x^5*y^5*z^5 - 4174290690570000*x^3*y^7*z^5 + 347857557547500*x*y^9*z^5

15

11:

7905853580625/8*x^15 - 419010239773125/8*x^13*y^2 + 1747193641318125/8*x^11*y^4 + 1130537062029375/8*x^9*y^6 - 3391611186088125/8*x^7*y^8 - 1130537062029375/8*x^5*y^10 + 1130537062029375/8*x^3*y^12 - 86964389386875/8*x*y^14 - 102776096548125/2*x^13*z^2 + 2774954606799375*x^11*y^2*z^2 - 28263426550734375/2*x^9*y^4*z^2 + 6783222372176250*x^7*y^6*z^2 + 30524500674793125/2*x^5*y^8*z^2 - 7913759434205625*x^3*y^10*z^2 + 1130537062029375/2*x*y^12*z^2 + 205552193096250*x^11*z^4 - 11305370620293750*x^9*y^2*z^4 + 67832223721762500*x^7*y^4*z^4 - 94965113210467500*x^5*y^6*z^4 + 33916111860881250*x^3*y^8*z^4 - 2261074124058750*x*y^10*z^4

15

-11:

86964389386875/8*x^14*y - 1130537062029375/8*x^12*y^3 + 1130537062029375/8*x^10*y^5 + 3391611186088125/8*x^8*y^7 - 1130537062029375/8*x^6*y^9 - 1747193641318125/8*x^4*y^11 + 419010239773125/8*x^2*y^13 - 7905853580625/8*y^15 - 1130537062029375/2*x^12*y*z^2 + 7913759434205625*x^10*y^3*z^2 - 30524500674793125/2*x^8*y^5*z^2 - 6783222372176250*x^6*y^7*z^2 + 28263426550734375/2*x^4*y^9*z^2 - 2774954606799375*x^2*y^11*z^2 + 102776096548125/2*y^13*z^2 + 2261074124058750*x^10*y*z^4 - 33916111860881250*x^8*y^3*z^4 + 94965113210467500*x^6*y^5*z^4 - 67832223721762500*x^4*y^7*z^4 + 11305370620293750*x^2*y^9*z^4 - 205552193096250*y^11*z^4

15

12:

-213458046676875/2*x^14*z + 13874773033996875/2*x^12*y^2*z - 91573502024379375/2*x^10*y^4*z + 91573502024379375/2*x^8*y^6*z + 91573502024379375/2*x^6*y^8*z - 91573502024379375/2*x^4*y^10*z + 13874773033996875/2*x^2*y^12*z - 213458046676875/2*y^14*z + 924984868933125*x^12*z^3 - 61049001349586250*x^10*y^2*z^3 + 457867510121896875*x^8*y^4*z^3 - 854686018894207500*x^6*y^6*z^3 + 457867510121896875*x^4*y^8*z^3 - 61049001349586250*x^2*y^10*z^3 + 924984868933125*y^12*z^3

15

-12:

-1280748280061250*x^13*y*z + 22199636854395000*x^11*y^3*z - 61049001349586250*x^9*y^5*z + 61049001349586250*x^5*y^9*z - 22199636854395000*x^3*y^11*z + 1280748280061250*x*y^13*z + 11099818427197500*x^11*y*z^3 - 203496671165287500*x^9*y^3*z^3 + 732588016195035000*x^7*y^5*z^3 - 732588016195035000*x^5*y^7*z^3 + 203496671165287500*x^3*y^9*z^3 - 11099818427197500*x*y^11*z^3

15

13:

-213458046676875/2*x^15 + 16436269594119375/2*x^13*y^2 - 135972775733169375/2*x^11*y^4 + 213671504723551875/2*x^9*y^6 + 91573502024379375/2*x^7*y^8 - 213671504723551875/2*x^5*y^10 + 58274046742786875/2*x^3*y^12 - 2774954606799375/2*x*y^14 + 2988412653476250*x^13*z^2 - 233096186971147500*x^11*y^2*z^2 + 2136715047235518750*x^9*y^4*z^2 - 5128116113365245000*x^7*y^6*z^2 + 3846087085023933750*x^5*y^8*z^2 - 854686018894207500*x^3*y^10*z^2 + 38849364495191250*x*y^12*z^2

15

-13:

-2774954606799375/2*x^14*y + 58274046742786875/2*x^12*y^3 - 213671504723551875/2*x^10*y^5 + 91573502024379375/2*x^8*y^7 + 213671504723551875/2*x^6*y^9 - 135972775733169375/2*x^4*y^11 + 16436269594119375/2*x^2*y^13 - 213458046676875/2*y^15 + 38849364495191250*x^12*y*z^2 - 854686018894207500*x^10*y^3*z^2 + 3846087085023933750*x^8*y^5*z^2 - 5128116113365245000*x^6*y^7*z^2 + 2136715047235518750*x^4*y^9*z^2 - 233096186971147500*x^2*y^11*z^2 + 2988412653476250*y^13*z^2

15

14:

6190283353629375*x^14*z - 563315785180273125*x^12*y^2*z + 6196473636983004375*x^10*y^4*z - 18589420910949013125*x^8*y^6*z + 18589420910949013125*x^6*y^8*z - 6196473636983004375*x^4*y^10*z + 563315785180273125*x^2*y^12*z - 6190283353629375*y^14*z

15

-14:

86663966950811250*x^13*y*z - 2253263140721092500*x^11*y^3*z + 12392947273966008750*x^9*y^5*z - 21245052469656015000*x^7*y^7*z + 12392947273966008750*x^5*y^9*z - 2253263140721092500*x^3*y^11*z + 86663966950811250*x*y^13*z

15

15:

6190283353629375*x^15 - 649979752131084375*x^13*y^2 + 8449736777704096875*x^11*y^4 - 30982368184915021875*x^9*y^6 + 39834473380605028125*x^7*y^8 - 18589420910949013125*x^5*y^10 + 2816578925901365625*x^3*y^12 - 92854250304440625*x*y^14

15

-15:

92854250304440625*x^14*y - 2816578925901365625*x^12*y^3 + 18589420910949013125*x^10*y^5 - 39834473380605028125*x^8*y^7 + 30982368184915021875*x^6*y^9 - 8449736777704096875*x^4*y^11 + 649979752131084375*x^2*y^13 - 6190283353629375*y^15

16

0:

6435/32768*x^16 + 6435/4096*x^14*y^2 + 45045/8192*x^12*y^4 + 45045/4096*x^10*y^6 + 225225/16384*x^8*y^8 + 45045/4096*x^6*y^10 + 45045/8192*x^4*y^12 + 6435/4096*x^2*y^14 + 6435/32768*y^16 - 6435/256*x^14*z^2 - 45045/256*x^12*y^2*z^2 - 135135/256*x^10*y^4*z^2 - 225225/256*x^8*y^6*z^2 - 225225/256*x^6*y^8*z^2 - 135135/256*x^4*y^10*z^2 - 45045/256*x^2*y^12*z^2 - 6435/256*y^14*z^2 + 105105/256*x^12*z^4 + 315315/128*x^10*y^2*z^4 + 1576575/256*x^8*y^4*z^4 + 525525/64*x^6*y^6*z^4 + 1576575/256*x^4*y^8*z^4 + 315315/128*x^2*y^10*z^4 + 105105/256*y^12*z^4 - 63063/32*x^10*z^6 - 315315/32*x^8*y^2*z^6 - 315315/16*x^6*y^4*z^6 - 315315/16*x^4*y^6*z^6 - 315315/32*x^2*y^8*z^6 - 63063/32*y^10*z^6 + 225225/64*x^8*z^8 + 225225/16*x^6*y^2*z^8 + 675675/32*x^4*y^4*z^8 + 225225/16*x^2*y^6*z^8 + 225225/64*y^8*z^8 - 5005/2*x^6*z^10 - 15015/2*x^4*y^2*z^10 - 15015/2*x^2*y^4*z^10 - 5005/2*y^6*z^10 + 1365/2*x^4*z^12 + 1365*x^2*y^2*z^12 + 1365/2*y^4*z^12 - 60*x^2*z^14 - 60*y^2*z^14 + z^16

16

1:

-109395/2048*x^15*z - 765765/2048*x^13*y^2*z - 2297295/2048*x^11*y^4*z - 3828825/2048*x^9*y^6*z - 3828825/2048*x^7*y^8*z - 2297295/2048*x^5*y^10*z - 765765/2048*x^3*y^12*z - 109395/2048*x*y^14*z + 255255/128*x^13*z^3 + 765765/64*x^11*y^2*z^3 + 3828825/128*x^9*y^4*z^3 + 1276275/32*x^7*y^6*z^3 + 3828825/128*x^5*y^8*z^3 + 765765/64*x^3*y^10*z^3 + 255255/128*x*y^12*z^3 - 1072071/64*x^11*z^5 - 5360355/64*x^9*y^2*z^5 - 5360355/32*x^7*y^4*z^5 - 5360355/32*x^5*y^6*z^5 - 5360355/64*x^3*y^8*z^5 - 1072071/64*x*y^10*z^5 + 765765/16*x^9*z^7 + 765765/4*x^7*y^2*z^7 + 2297295/8*x^5*y^4*z^7 + 765765/4*x^3*y^6*z^7 + 765765/16*x*y^8*z^7 - 425425/8*x^7*z^9 - 1276275/8*x^5*y^2*z^9 - 1276275/8*x^3*y^4*z^9 - 425425/8*x*y^6*z^9 + 23205*x^5*z^11 + 46410*x^3*y^2*z^11 + 23205*x*y^4*z^11 - 3570*x^3*z^13 - 3570*x*y^2*z^13 + 136*x*z^15

16

-1:

-109395/2048*x^14*y*z - 765765/2048*x^12*y^3*z - 2297295/2048*x^10*y^5*z - 3828825/2048*x^8*y^7*z - 3828825/2048*x^6*y^9*z - 2297295/2048*x^4*y^11*z - 765765/2048*x^2*y^13*z - 109395/2048*y^15*z + 255255/128*x^12*y*z^3 + 765765/64*x^10*y^3*z^3 + 3828825/128*x^8*y^5*z^3 + 1276275/32*x^6*y^7*z^3 + 3828825/128*x^4*y^9*z^3 + 765765/64*x^2*y^11*z^3 + 255255/128*y^13*z^3 - 1072071/64*x^10*y*z^5 - 5360355/64*x^8*y^3*z^5 - 5360355/32*x^6*y^5*z^5 - 5360355/32*x^4*y^7*z^5 - 5360355/64*x^2*y^9*z^5 - 1072071/64*y^11*z^5 + 765765/16*x^8*y*z^7 + 765765/4*x^6*y^3*z^7 + 2297295/8*x^4*y^5*z^7 + 765765/4*x^2*y^7*z^7 + 765765/16*y^9*z^7 - 425425/8*x^6*y*z^9 - 1276275/8*x^4*y^3*z^9 - 1276275/8*x^2*y^5*z^9 - 425425/8*y^7*z^9 + 23205*x^4*y*z^11 + 46410*x^2*y^3*z^11 + 23205*y^5*z^11 - 3570*x^2*y*z^13 - 3570*y^3*z^13 + 136*y*z^15

16

2:

-109395/2048*x^16 - 328185/1024*x^14*y^2 - 765765/1024*x^12*y^4 - 765765/1024*x^10*y^6 + 765765/1024*x^6*y^10 + 765765/1024*x^4*y^12 + 328185/1024*x^2*y^14 + 109395/2048*y^16 + 6891885/1024*x^14*z^2 + 34459425/1024*x^12*y^2*z^2 + 62026965/1024*x^10*y^4*z^2 + 34459425/1024*x^8*y^6*z^2 - 34459425/1024*x^6*y^8*z^2 - 62026965/1024*x^4*y^10*z^2 - 34459425/1024*x^2*y^12*z^2 - 6891885/1024*y^14*z^2 - 6891885/64*x^12*z^4 - 6891885/16*x^10*y^2*z^4 - 34459425/64*x^8*y^4*z^4 + 34459425/64*x^4*y^8*z^4 + 6891885/16*x^2*y^10*z^4 + 6891885/64*y^12*z^4 + 16081065/32*x^10*z^6 + 48243195/32*x^8*y^2*z^6 + 16081065/16*x^6*y^4*z^6 - 16081065/16*x^4*y^6*z^6 - 48243195/32*x^2*y^8*z^6 - 16081065/32*y^10*z^6 - 6891885/8*x^8*z^8 - 6891885/4*x^6*y^2*z^8 + 6891885/4*x^2*y^6*z^8 + 6891885/8*y^8*z^8 + 2297295/4*x^6*z^10 + 2297295/4*x^4*y^2*z^10 - 2297295/4*x^2*y^4*z^10 - 2297295/4*y^6*z^10 - 139230*x^4*z^12 + 139230*y^4*z^12 + 9180*x^2*z^14 - 9180*y^2*z^14

16

-2:

-109395/1024*x^15*y - 765765/1024*x^13*y^3 - 2297295/1024*x^11*y^5 - 3828825/1024*x^9*y^7 - 3828825/1024*x^7*y^9 - 2297295/1024*x^5*y^11 - 765765/1024*x^3*y^13 - 109395/1024*x*y^15 + 6891885/512*x^13*y*z^2 + 20675655/256*x^11*y^3*z^2 + 103378275/512*x^9*y^5*z^2 + 34459425/128*x^7*y^7*z^2 + 103378275/512*x^5*y^9*z^2 + 20675655/256*x^3*y^11*z^2 + 6891885/512*x*y^13*z^2 - 6891885/32*x^11*y*z^4 - 34459425/32*x^9*y^3*z^4 - 34459425/16*x^7*y^5*z^4 - 34459425/16*x^5*y^7*z^4 - 34459425/32*x^3*y^9*z^4 - 6891885/32*x*y^11*z^4 + 16081065/16*x^9*y*z^6 + 16081065/4*x^7*y^3*z^6 + 48243195/8*x^5*y^5*z^6 + 16081065/4*x^3*y^7*z^6 + 16081065/16*x*y^9*z^6 - 6891885/4*x^7*y*z^8 - 20675655/4*x^5*y^3*z^8 - 20675655/4*x^3*y^5*z^8 - 6891885/4*x*y^7*z^8 + 2297295/2*x^5*y*z^10 + 2297295*x^3*y^3*z^10 + 2297295/2*x*y^5*z^10 - 278460*x^3*y*z^12 - 278460*x*y^3*z^12 + 18360*x*y*z^14

16

3:

14549535/1024*x^15*z + 43648605/1024*x^13*y^2*z - 43648605/1024*x^11*y^4*z - 363738375/1024*x^9*y^6*z - 654729075/1024*x^7*y^8*z - 567431865/1024*x^5*y^10*z - 247342095/1024*x^3*y^12*z - 43648605/1024*x*y^14*z - 130945815/256*x^13*z^3 - 130945815/128*x^11*y^2*z^3 + 654729075/256*x^9*y^4*z^3 + 654729075/64*x^7*y^6*z^3 + 3273645375/256*x^5*y^8*z^3 + 916620705/128*x^3*y^10*z^3 + 392837445/256*x*y^12*z^3 + 130945815/32*x^11*z^5 + 130945815/32*x^9*y^2*z^5 - 392837445/16*x^7*y^4*z^5 - 916620705/16*x^5*y^6*z^5 - 1440403965/32*x^3*y^8*z^5 - 392837445/32*x*y^10*z^5 - 43648605/4*x^9*z^7 + 130945815/2*x^5*y^4*z^7 + 87297210*x^3*y^6*z^7 + 130945815/4*x*y^8*z^7 + 43648605/4*x^7*z^9 - 43648605/4*x^5*y^2*z^9 - 218243025/4*x^3*y^4*z^9 - 130945815/4*x*y^6*z^9 - 3968055*x^5*z^11 + 7936110*x^3*y^2*z^11 + 11904165*x*y^4*z^11 + 406980*x^3*z^13 - 1220940*x*y^2*z^13

16

-3:

43648605/1024*x^14*y*z + 247342095/1024*x^12*y^3*z + 567431865/1024*x^10*y^5*z + 654729075/1024*x^8*y^7*z + 363738375/1024*x^6*y^9*z + 43648605/1024*x^4*y^11*z - 43648605/1024*x^2*y^13*z - 14549535/1024*y^15*z - 392837445/256*x^12*y*z^3 - 916620705/128*x^10*y^3*z^3 - 3273645375/256*x^8*y^5*z^3 - 654729075/64*x^6*y^7*z^3 - 654729075/256*x^4*y^9*z^3 + 130945815/128*x^2*y^11*z^3 + 130945815/256*y^13*z^3 + 392837445/32*x^10*y*z^5 + 1440403965/32*x^8*y^3*z^5 + 916620705/16*x^6*y^5*z^5 + 392837445/16*x^4*y^7*z^5 - 130945815/32*x^2*y^9*z^5 - 130945815/32*y^11*z^5 - 130945815/4*x^8*y*z^7 - 87297210*x^6*y^3*z^7 - 130945815/2*x^4*y^5*z^7 + 43648605/4*y^9*z^7 + 130945815/4*x^6*y*z^9 + 218243025/4*x^4*y^3*z^9 + 43648605/4*x^2*y^5*z^9 - 43648605/4*y^7*z^9 - 11904165*x^4*y*z^11 - 7936110*x^2*y^3*z^11 + 3968055*y^5*z^11 + 1220940*x^2*y*z^13 - 406980*y^3*z^13

16

4:

14549535/1024*x^16 - 72747675/256*x^12*y^4 - 14549535/16*x^10*y^6 - 654729075/512*x^8*y^8 - 14549535/16*x^6*y^10 - 72747675/256*x^4*y^12 + 14549535/1024*y^16 - 218243025/128*x^14*z^2 + 218243025/128*x^12*y^2*z^2 + 4146617475/128*x^10*y^4*z^2 + 9820936125/128*x^8*y^6*z^2 + 9820936125/128*x^6*y^8*z^2 + 4146617475/128*x^4*y^10*z^2 + 218243025/128*x^2*y^12*z^2 - 218243025/128*y^14*z^2 + 3273645375/128*x^12*z^4 - 3273645375/64*x^10*y^2*z^4 - 55651971375/128*x^8*y^4*z^4 - 22915517625/32*x^6*y^6*z^4 - 55651971375/128*x^4*y^8*z^4 - 3273645375/64*x^2*y^10*z^4 + 3273645375/128*y^12*z^4 - 218243025/2*x^10*z^6 + 654729075/2*x^8*y^2*z^6 + 1527701175*x^6*y^4*z^6 + 1527701175*x^4*y^6*z^6 + 654729075/2*x^2*y^8*z^6 - 218243025/2*y^10*z^6 + 654729075/4*x^8*z^8 - 654729075*x^6*y^2*z^8 - 3273645375/2*x^4*y^4*z^8 - 654729075*x^2*y^6*z^8 + 654729075/4*y^8*z^8 - 87297210*x^6*z^10 + 436486050*x^4*y^2*z^10 + 436486050*x^2*y^4*z^10 - 87297210*y^6*z^10 + 13226850*x^4*z^12 - 79361100*x^2*y^2*z^12 + 13226850*y^4*z^12

16

-4:

14549535/256*x^15*y + 72747675/256*x^13*y^3 + 130945815/256*x^11*y^5 + 72747675/256*x^9*y^7 - 72747675/256*x^7*y^9 - 130945815/256*x^5*y^11 - 72747675/256*x^3*y^13 - 14549535/256*x*y^15 - 218243025/32*x^13*y*z^2 - 218243025/8*x^11*y^3*z^2 - 1091215125/32*x^9*y^5*z^2 + 1091215125/32*x^5*y^9*z^2 + 218243025/8*x^3*y^11*z^2 + 218243025/32*x*y^13*z^2 + 3273645375/32*x^11*y*z^4 + 9820936125/32*x^9*y^3*z^4 + 3273645375/16*x^7*y^5*z^4 - 3273645375/16*x^5*y^7*z^4 - 9820936125/32*x^3*y^9*z^4 - 3273645375/32*x*y^11*z^4 - 436486050*x^9*y*z^6 - 872972100*x^7*y^3*z^6 + 872972100*x^3*y^7*z^6 + 436486050*x*y^9*z^6 + 654729075*x^7*y*z^8 + 654729075*x^5*y^3*z^8 - 654729075*x^3*y^5*z^8 - 654729075*x*y^7*z^8 - 349188840*x^5*y*z^10 + 349188840*x*y^5*z^10 + 52907400*x^3*y*z^12 - 52907400*x*y^3*z^12

16

5:

-916620705/256*x^15*z + 4583103525/256*x^13*y^2*z + 32081724675/256*x^11*y^4*z + 59580345825/256*x^9*y^6*z + 41247931725/256*x^7*y^8*z - 916620705/256*x^5*y^10*z - 13749310575/256*x^3*y^12*z - 4583103525/256*x*y^14*z + 7638505875/64*x^13*z^3 - 22915517625/32*x^11*y^2*z^3 - 221516670375/64*x^9*y^4*z^3 - 68746552875/16*x^7*y^6*z^3 - 68746552875/64*x^5*y^8*z^3 + 38192529375/32*x^3*y^10*z^3 + 38192529375/64*x*y^12*z^3 - 13749310575/16*x^11*z^5 + 96245174025/16*x^9*y^2*z^5 + 151242416325/8*x^7*y^4*z^5 + 96245174025/8*x^5*y^6*z^5 - 68746552875/16*x^3*y^8*z^5 - 68746552875/16*x*y^10*z^5 + 1964187225*x^9*z^7 - 15713497800*x^7*y^2*z^7 - 27498621150*x^5*y^4*z^7 + 9820936125*x*y^8*z^7 - 1527701175*x^7*z^9 + 13749310575*x^5*y^2*z^9 + 7638505875*x^3*y^4*z^9 - 7638505875*x*y^6*z^9 + 333316620*x^5*z^11 - 3333166200*x^3*y^2*z^11 + 1666583100*x*y^4*z^11

16

-5:

-4583103525/256*x^14*y*z - 13749310575/256*x^12*y^3*z - 916620705/256*x^10*y^5*z + 41247931725/256*x^8*y^7*z + 59580345825/256*x^6*y^9*z + 32081724675/256*x^4*y^11*z + 4583103525/256*x^2*y^13*z - 916620705/256*y^15*z + 38192529375/64*x^12*y*z^3 + 38192529375/32*x^10*y^3*z^3 - 68746552875/64*x^8*y^5*z^3 - 68746552875/16*x^6*y^7*z^3 - 221516670375/64*x^4*y^9*z^3 - 22915517625/32*x^2*y^11*z^3 + 7638505875/64*y^13*z^3 - 68746552875/16*x^10*y*z^5 - 68746552875/16*x^8*y^3*z^5 + 96245174025/8*x^6*y^5*z^5 + 151242416325/8*x^4*y^7*z^5 + 96245174025/16*x^2*y^9*z^5 - 13749310575/16*y^11*z^5 + 9820936125*x^8*y*z^7 - 27498621150*x^4*y^5*z^7 - 15713497800*x^2*y^7*z^7 + 1964187225*y^9*z^7 - 7638505875*x^6*y*z^9 + 7638505875*x^4*y^3*z^9 + 13749310575*x^2*y^5*z^9 - 1527701175*y^7*z^9 + 1666583100*x^4*y*z^11 - 3333166200*x^2*y^3*z^11 + 333316620*y^5*z^11

16

6:

-916620705/256*x^16 + 4583103525/128*x^14*y^2 + 22915517625/128*x^12*y^4 + 30248483265/128*x^10*y^6 - 30248483265/128*x^6*y^10 - 22915517625/128*x^4*y^12 - 4583103525/128*x^2*y^14 + 916620705/256*y^16 + 50414138775/128*x^14*z^2 - 554555526525/128*x^12*y^2*z^2 - 1966151412225/128*x^10*y^4*z^2 - 1361181746925/128*x^8*y^6*z^2 + 1361181746925/128*x^6*y^8*z^2 + 1966151412225/128*x^4*y^10*z^2 + 554555526525/128*x^2*y^12*z^2 - 50414138775/128*y^14*z^2 - 84023564625/16*x^12*z^4 + 252070693875/4*x^10*y^2*z^4 + 2268636244875/16*x^8*y^4*z^4 - 2268636244875/16*x^4*y^8*z^4 - 252070693875/4*x^2*y^10*z^4 + 84023564625/16*y^12*z^4 + 151242416325/8*x^10*z^6 - 1966151412225/8*x^8*y^2*z^6 - 1058696914275/4*x^6*y^4*z^6 + 1058696914275/4*x^4*y^6*z^6 + 1966151412225/8*x^2*y^8*z^6 - 151242416325/8*y^10*z^6 - 21606059475*x^8*z^8 + 302484832650*x^6*y^2*z^8 - 302484832650*x^2*y^6*z^8 + 21606059475*y^8*z^8 + 6721885170*x^6*z^10 - 100828277550*x^4*y^2*z^10 + 100828277550*x^2*y^4*z^10 - 6721885170*y^6*z^10

16

-6:

-2749862115/128*x^15*y - 4583103525/128*x^13*y^3 + 15582551985/128*x^11*y^5 + 50414138775/128*x^9*y^7 + 50414138775/128*x^7*y^9 + 15582551985/128*x^5*y^11 - 4583103525/128*x^3*y^13 - 2749862115/128*x*y^15 + 151242416325/64*x^13*y*z^2 + 50414138775/32*x^11*y^3*z^2 - 957868636725/64*x^9*y^5*z^2 - 453727248975/16*x^7*y^7*z^2 - 957868636725/64*x^5*y^9*z^2 + 50414138775/32*x^3*y^11*z^2 + 151242416325/64*x*y^13*z^2 - 252070693875/8*x^11*y*z^4 + 84023564625/8*x^9*y^3*z^4 + 756212081625/4*x^7*y^5*z^4 + 756212081625/4*x^5*y^7*z^4 + 84023564625/8*x^3*y^9*z^4 - 252070693875/8*x*y^11*z^4 + 453727248975/4*x^9*y*z^6 - 151242416325*x^7*y^3*z^6 - 1058696914275/2*x^5*y^5*z^6 - 151242416325*x^3*y^7*z^6 + 453727248975/4*x*y^9*z^6 - 129636356850*x^7*y*z^8 + 302484832650*x^5*y^3*z^8 + 302484832650*x^3*y^5*z^8 - 129636356850*x*y^7*z^8 + 40331311020*x^5*y*z^10 - 134437703400*x^3*y^3*z^10 + 40331311020*x*y^5*z^10

16

7:

105411381075/128*x^15*z - 1791993478275/128*x^13*y^2*z - 4532689386225/128*x^11*y^4*z + 1159525191825/128*x^9*y^6*z + 10435726726425/128*x^7*y^8*z + 8116676342775/128*x^5*y^10*z + 737879667525/128*x^3*y^12*z - 737879667525/128*x*y^14*z - 386508397275/16*x^13*z^3 + 3478575575475/8*x^11*y^2*z^3 + 9662709931875/16*x^9*y^4*z^3 - 3478575575475/4*x^7*y^6*z^3 - 24350029028325/16*x^5*y^8*z^3 - 2705558780925/8*x^3*y^10*z^3 + 2705558780925/16*x*y^12*z^3 + 1159525191825/8*x^11*z^5 - 22030978644675/8*x^9*y^2*z^5 - 3478575575475/4*x^7*y^4*z^5 + 24350029028325/4*x^5*y^6*z^5 + 24350029028325/8*x^3*y^8*z^5 - 8116676342775/8*x*y^10*z^5 - 496939367925/2*x^9*z^7 + 4969393679250*x^7*y^2*z^7 - 3478575575475*x^5*y^4*z^7 - 6957151150950*x^3*y^6*z^7 + 3478575575475/2*x*y^8*z^7 + 110430970650*x^7*z^9 - 2319050383650*x^5*y^2*z^9 + 3865083972750*x^3*y^4*z^9 - 773016794550*x*y^6*z^9

16

-7:

737879667525/128*x^14*y*z - 737879667525/128*x^12*y^3*z - 8116676342775/128*x^10*y^5*z - 10435726726425/128*x^8*y^7*z - 1159525191825/128*x^6*y^9*z + 4532689386225/128*x^4*y^11*z + 1791993478275/128*x^2*y^13*z - 105411381075/128*y^15*z - 2705558780925/16*x^12*y*z^3 + 2705558780925/8*x^10*y^3*z^3 + 24350029028325/16*x^8*y^5*z^3 + 3478575575475/4*x^6*y^7*z^3 - 9662709931875/16*x^4*y^9*z^3 - 3478575575475/8*x^2*y^11*z^3 + 386508397275/16*y^13*z^3 + 8116676342775/8*x^10*y*z^5 - 24350029028325/8*x^8*y^3*z^5 - 24350029028325/4*x^6*y^5*z^5 + 3478575575475/4*x^4*y^7*z^5 + 22030978644675/8*x^2*y^9*z^5 - 1159525191825/8*y^11*z^5 - 3478575575475/2*x^8*y*z^7 + 6957151150950*x^6*y^3*z^7 + 3478575575475*x^4*y^5*z^7 - 4969393679250*x^2*y^7*z^7 + 496939367925/2*y^9*z^7 + 773016794550*x^6*y*z^9 - 3865083972750*x^4*y^3*z^9 + 2319050383650*x^2*y^5*z^9 - 110430970650*y^7*z^9

16

8:

105411381075/128*x^16 - 316234143225/16*x^14*y^2 - 948702429675/32*x^12*y^4 + 1159525191825/16*x^10*y^6 + 10435726726425/64*x^8*y^8 + 1159525191825/16*x^6*y^10 - 948702429675/32*x^4*y^12 - 316234143225/16*x^2*y^14 + 105411381075/128*y^16 - 316234143225/4*x^14*z^2 + 7905853580625/4*x^12*y^2*z^2 + 3478575575475/4*x^10*y^4*z^2 - 31307180179275/4*x^8*y^6*z^2 - 31307180179275/4*x^6*y^8*z^2 + 3478575575475/4*x^4*y^10*z^2 + 7905853580625/4*x^2*y^12*z^2 - 316234143225/4*y^14*z^2 + 3478575575475/4*x^12*z^4 - 45221482481175/2*x^10*y^2*z^4 + 52178633632125/4*x^8*y^4*z^4 + 73050087084975*x^6*y^6*z^4 + 52178633632125/4*x^4*y^8*z^4 - 45221482481175/2*x^2*y^10*z^4 + 3478575575475/4*y^12*z^4 - 2319050383650*x^10*z^6 + 62614360358550*x^8*y^2*z^6 - 97400116113300*x^6*y^4*z^6 - 97400116113300*x^4*y^6*z^6 + 62614360358550*x^2*y^8*z^6 - 2319050383650*y^10*z^6 + 1490818103775*x^8*z^8 - 41742906905700*x^6*y^2*z^8 + 104357267264250*x^4*y^4*z^8 - 41742906905700*x^2*y^6*z^8 + 1490818103775*y^8*z^8

16

-8:

105411381075/16*x^15*y - 316234143225/16*x^13*y^3 - 1581170716125/16*x^11*y^5 - 1159525191825/16*x^9*y^7 + 1159525191825/16*x^7*y^9 + 1581170716125/16*x^5*y^11 + 316234143225/16*x^3*y^13 - 105411381075/16*x*y^15 - 632468286450*x^13*y*z^2 + 2529873145800*x^11*y^3*z^2 + 6957151150950*x^9*y^5*z^2 - 6957151150950*x^5*y^9*z^2 - 2529873145800*x^3*y^11*z^2 + 632468286450*x*y^13*z^2 + 6957151150950*x^11*y*z^4 - 34785755754750*x^9*y^3*z^4 - 41742906905700*x^7*y^5*z^4 + 41742906905700*x^5*y^7*z^4 + 34785755754750*x^3*y^9*z^4 - 6957151150950*x*y^11*z^4 - 18552403069200*x^9*y*z^6 + 111314418415200*x^7*y^3*z^6 - 111314418415200*x^3*y^7*z^6 + 18552403069200*x*y^9*z^6 + 11926544830200*x^7*y*z^8 - 83485813811400*x^5*y^3*z^8 + 83485813811400*x^3*y^5*z^8 - 11926544830200*x*y^7*z^8

16

9:

-2635284526875/16*x^15*z + 86964389386875/16*x^13*y^2*z - 55340975064375/16*x^11*y^4*z - 492798206525625/16*x^9*y^6*z - 260893168160625/16*x^7*y^8*z + 260893168160625/16*x^5*y^10*z + 150211218031875/16*x^3*y^12*z - 23717560741875/16*x*y^14*z + 7905853580625/2*x^13*z^3 - 134399510870625*x^11*y^2*z^3 + 434821946934375/2*x^9*y^4*z^3 + 521786336321250*x^7*y^6*z^3 - 260893168160625/2*x^5*y^8*z^3 - 260893168160625*x^3*y^10*z^3 + 71152682225625/2*x*y^12*z^3 - 17392877877375*x^11*z^5 + 608750725708125*x^9*y^2*z^5 - 1565359008963750*x^7*y^4*z^5 - 730500870849750*x^5*y^6*z^5 + 1304465840803125*x^3*y^8*z^5 - 156535900896375*x*y^10*z^5 + 16564645597500*x^9*z^7 - 596327241510000*x^7*y^2*z^7 + 2087145345285000*x^5*y^4*z^7 - 1391430230190000*x^3*y^6*z^7 + 149081810377500*x*y^8*z^7

16

-9:

-23717560741875/16*x^14*y*z + 150211218031875/16*x^12*y^3*z + 260893168160625/16*x^10*y^5*z - 260893168160625/16*x^8*y^7*z - 492798206525625/16*x^6*y^9*z - 55340975064375/16*x^4*y^11*z + 86964389386875/16*x^2*y^13*z - 2635284526875/16*y^15*z + 71152682225625/2*x^12*y*z^3 - 260893168160625*x^10*y^3*z^3 - 260893168160625/2*x^8*y^5*z^3 + 521786336321250*x^6*y^7*z^3 + 434821946934375/2*x^4*y^9*z^3 - 134399510870625*x^2*y^11*z^3 + 7905853580625/2*y^13*z^3 - 156535900896375*x^10*y*z^5 + 1304465840803125*x^8*y^3*z^5 - 730500870849750*x^6*y^5*z^5 - 1565359008963750*x^4*y^7*z^5 + 608750725708125*x^2*y^9*z^5 - 17392877877375*y^11*z^5 + 149081810377500*x^8*y*z^7 - 1391430230190000*x^6*y^3*z^7 + 2087145345285000*x^4*y^5*z^7 - 596327241510000*x^2*y^7*z^7 + 16564645597500*y^9*z^7

16

10:

-2635284526875/16*x^16 + 55340975064375/8*x^14*y^2 - 102776096548125/8*x^12*y^4 - 376845687343125/8*x^10*y^6 + 376845687343125/8*x^6*y^10 + 102776096548125/8*x^4*y^12 - 55340975064375/8*x^2*y^14 + 2635284526875/16*y^16 + 102776096548125/8*x^14*z^2 - 4419372151569375/8*x^12*y^2*z^2 + 12435907682323125/8*x^10*y^4*z^2 + 16958055930440625/8*x^8*y^6*z^2 - 16958055930440625/8*x^6*y^8*z^2 - 12435907682323125/8*x^4*y^10*z^2 + 4419372151569375/8*x^2*y^12*z^2 - 102776096548125/8*y^14*z^2 - 102776096548125*x^12*z^4 + 4522148248117500*x^10*y^2*z^4 - 16958055930440625*x^8*y^4*z^4 + 16958055930440625*x^4*y^8*z^4 - 4522148248117500*x^2*y^10*z^4 + 102776096548125*y^12*z^4 + 150738274937250*x^10*z^6 - 6783222372176250*x^8*y^2*z^6 + 31655037736822500*x^6*y^4*z^6 - 31655037736822500*x^4*y^6*z^6 + 6783222372176250*x^2*y^8*z^6 - 150738274937250*y^10*z^6

16

-10:

-13176422634375/8*x^15*y + 118587803709375/8*x^13*y^3 + 102776096548125/8*x^11*y^5 - 376845687343125/8*x^9*y^7 - 376845687343125/8*x^7*y^9 + 102776096548125/8*x^5*y^11 + 118587803709375/8*x^3*y^13 - 13176422634375/8*x*y^15 + 513880482740625/4*x^13*y*z^2 - 2569402413703125/2*x^11*y^3*z^2 + 1130537062029375/4*x^9*y^5*z^2 + 3391611186088125*x^7*y^7*z^2 + 1130537062029375/4*x^5*y^9*z^2 - 2569402413703125/2*x^3*y^11*z^2 + 513880482740625/4*x*y^13*z^2 - 1027760965481250*x^11*y*z^4 + 11305370620293750*x^9*y^3*z^4 - 13566444744352500*x^7*y^5*z^4 - 13566444744352500*x^5*y^7*z^4 + 11305370620293750*x^3*y^9*z^4 - 1027760965481250*x*y^11*z^4 + 1507382749372500*x^9*y*z^6 - 18088592992470000*x^7*y^3*z^6 + 37986045284187000*x^5*y^5*z^6 - 18088592992470000*x^3*y^7*z^6 + 1507382749372500*x*y^9*z^6

16

11:

213458046676875/8*x^15*z - 11313276473874375/8*x^13*y^2*z + 47174228315589375/8*x^11*y^4*z + 30524500674793125/8*x^9*y^6*z - 91573502024379375/8*x^7*y^8*z - 30524500674793125/8*x^5*y^10*z + 30524500674793125/8*x^3*y^12*z - 2348038513445625/8*x*y^14*z - 924984868933125/2*x^13*z^3 + 24974591461194375*x^11*y^2*z^3 - 254370838956609375/2*x^9*y^4*z^3 + 61049001349586250*x^7*y^6*z^3 + 274720506073138125/2*x^5*y^8*z^3 - 71223834907850625*x^3*y^10*z^3 + 10174833558264375/2*x*y^12*z^3 + 1109981842719750*x^11*z^5 - 61049001349586250*x^9*y^2*z^5 + 366294008097517500*x^7*y^4*z^5 - 512811611336524500*x^5*y^6*z^5 + 183147004048758750*x^3*y^8*z^5 - 12209800269917250*x*y^10*z^5

16

-11:

2348038513445625/8*x^14*y*z - 30524500674793125/8*x^12*y^3*z + 30524500674793125/8*x^10*y^5*z + 91573502024379375/8*x^8*y^7*z - 30524500674793125/8*x^6*y^9*z - 47174228315589375/8*x^4*y^11*z + 11313276473874375/8*x^2*y^13*z - 213458046676875/8*y^15*z - 10174833558264375/2*x^12*y*z^3 + 71223834907850625*x^10*y^3*z^3 - 274720506073138125/2*x^8*y^5*z^3 - 61049001349586250*x^6*y^7*z^3 + 254370838956609375/2*x^4*y^9*z^3 - 24974591461194375*x^2*y^11*z^3 + 924984868933125/2*y^13*z^3 + 12209800269917250*x^10*y*z^5 - 183147004048758750*x^8*y^3*z^5 + 512811611336524500*x^6*y^5*z^5 - 366294008097517500*x^4*y^7*z^5 + 61049001349586250*x^2*y^9*z^5 - 1109981842719750*y^11*z^5

16

12:

213458046676875/8*x^16 - 1707664373415000*x^14*y^2 + 19424682247595625/2*x^12*y^4 - 91573502024379375/4*x^8*y^8 + 19424682247595625/2*x^4*y^12 - 1707664373415000*x^2*y^14 + 213458046676875/8*y^16 - 1494206326738125*x^14*z^2 + 97123411237978125*x^12*y^2*z^2 - 641014514170655625*x^10*y^4*z^2 + 641014514170655625*x^8*y^6*z^2 + 641014514170655625*x^6*y^8*z^2 - 641014514170655625*x^4*y^10*z^2 + 97123411237978125*x^2*y^12*z^2 - 1494206326738125*y^14*z^2 + 6474894082531875*x^12*z^4 - 427343009447103750*x^10*y^2*z^4 + 3205072570853278125*x^8*y^4*z^4 - 5982802132259452500*x^6*y^6*z^4 + 3205072570853278125*x^4*y^8*z^4 - 427343009447103750*x^2*y^10*z^4 + 6474894082531875*y^12*z^4

16

-12:

640374140030625/2*x^15*y - 10459444287166875/2*x^13*y^3 + 19424682247595625/2*x^11*y^5 + 30524500674793125/2*x^9*y^7 - 30524500674793125/2*x^7*y^9 - 19424682247595625/2*x^5*y^11 + 10459444287166875/2*x^3*y^13 - 640374140030625/2*x*y^15 - 17930475920857500*x^13*y*z^2 + 310794915961530000*x^11*y^3*z^2 - 854686018894207500*x^9*y^5*z^2 + 854686018894207500*x^5*y^9*z^2 - 310794915961530000*x^3*y^11*z^2 + 17930475920857500*x*y^13*z^2 + 77698728990382500*x^11*y*z^4 - 1424476698157012500*x^9*y^3*z^4 + 5128116113365245000*x^7*y^5*z^4 - 5128116113365245000*x^5*y^7*z^4 + 1424476698157012500*x^3*y^9*z^4 - 77698728990382500*x*y^11*z^4

16

13:

-6190283353629375/2*x^15*z + 476651818229461875/2*x^13*y^2*z - 3943210496261911875/2*x^11*y^4*z + 6196473636983004375/2*x^9*y^6*z + 2655631558707001875/2*x^7*y^8*z - 6196473636983004375/2*x^5*y^10*z + 1689947355540819375/2*x^3*y^12*z - 80473683597181875/2*x*y^14*z + 28887988983603750*x^13*z^3 - 2253263140721092500*x^11*y^2*z^3 + 20654912123276681250*x^9*y^4*z^3 - 49571789095864035000*x^7*y^6*z^3 + 37178841821898026250*x^5*y^8*z^3 - 8261964849310672500*x^3*y^10*z^3 + 375543856786848750*x*y^12*z^3

16

-13:

-80473683597181875/2*x^14*y*z + 1689947355540819375/2*x^12*y^3*z - 6196473636983004375/2*x^10*y^5*z + 2655631558707001875/2*x^8*y^7*z + 6196473636983004375/2*x^6*y^9*z - 3943210496261911875/2*x^4*y^11*z + 476651818229461875/2*x^2*y^13*z - 6190283353629375/2*y^15*z + 375543856786848750*x^12*y*z^3 - 8261964849310672500*x^10*y^3*z^3 + 37178841821898026250*x^8*y^5*z^3 - 49571789095864035000*x^6*y^7*z^3 + 20654912123276681250*x^4*y^9*z^3 - 2253263140721092500*x^2*y^11*z^3 + 28887988983603750*y^13*z^3

16

14:

-6190283353629375/2*x^16 + 278562750913321875*x^14*y^2 - 2816578925901365625*x^12*y^4 + 6196473636983004375*x^10*y^6 - 6196473636983004375*x^6*y^10 + 2816578925901365625*x^4*y^12 - 278562750913321875*x^2*y^14 + 6190283353629375/2*y^16 + 92854250304440625*x^14*z^2 - 8449736777704096875*x^12*y^2*z^2 + 92947104554745065625*x^10*y^4*z^2 - 278841313664235196875*x^8*y^6*z^2 + 278841313664235196875*x^6*y^8*z^2 - 92947104554745065625*x^4*y^10*z^2 + 8449736777704096875*x^2*y^12*z^2 - 92854250304440625*y^14*z^2

16

-14:

-43331983475405625*x^15*y + 1083299586885140625*x^13*y^3 - 5069842066622458125*x^11*y^5 + 4426052597845003125*x^9*y^7 + 4426052597845003125*x^7*y^9 - 5069842066622458125*x^5*y^11 + 1083299586885140625*x^3*y^13 - 43331983475405625*x*y^15 + 1299959504262168750*x^13*y*z^2 - 33798947110816387500*x^11*y^3*z^2 + 185894209109490131250*x^9*y^5*z^2 - 318675787044840225000*x^7*y^7*z^2 + 185894209109490131250*x^5*y^9*z^2 - 33798947110816387500*x^3*y^11*z^2 + 1299959504262168750*x*y^13*z^2

16

15:

191898783962510625*x^15*z - 20149372316063615625*x^13*y^2*z + 261941840108827003125*x^11*y^4*z - 960453413732365678125*x^9*y^6*z + 1234868674798755871875*x^7*y^8*z - 576272048239419406875*x^5*y^10*z + 87313946702942334375*x^3*y^12*z - 2878481759437659375*x*y^14*z

16

-15:

2878481759437659375*x^14*y*z - 87313946702942334375*x^12*y^3*z + 576272048239419406875*x^10*y^5*z - 1234868674798755871875*x^8*y^7*z + 960453413732365678125*x^6*y^9*z - 261941840108827003125*x^4*y^11*z + 20149372316063615625*x^2*y^13*z - 191898783962510625*y^15*z

16

16:

191898783962510625*x^16 - 23027854075501275000*x^14*y^2 + 349255786811769337500*x^12*y^4 - 1536725461971785085000*x^10*y^6 + 2469737349597511743750*x^8*y^8 - 1536725461971785085000*x^6*y^10 + 349255786811769337500*x^4*y^12 - 23027854075501275000*x^2*y^14 + 191898783962510625*y^16

16

-16:

3070380543400170000*x^15*y - 107463319019005950000*x^13*y^3 + 838213888348246410000*x^11*y^5 - 2195322088531121550000*x^9*y^7 + 2195322088531121550000*x^7*y^9 - 838213888348246410000*x^5*y^11 + 107463319019005950000*x^3*y^13 - 3070380543400170000*x*y^15

17

0:

109395/32768*x^16*z + 109395/4096*x^14*y^2*z + 765765/8192*x^12*y^4*z + 765765/4096*x^10*y^6*z + 3828825/16384*x^8*y^8*z + 765765/4096*x^6*y^10*z + 765765/8192*x^4*y^12*z + 109395/4096*x^2*y^14*z + 109395/32768*y^16*z - 36465/256*x^14*z^3 - 255255/256*x^12*y^2*z^3 - 765765/256*x^10*y^4*z^3 - 1276275/256*x^8*y^6*z^3 - 1276275/256*x^6*y^8*z^3 - 765765/256*x^4*y^10*z^3 - 255255/256*x^2*y^12*z^3 - 36465/256*y^14*z^3 + 357357/256*x^12*z^5 + 1072071/128*x^10*y^2*z^5 + 5360355/256*x^8*y^4*z^5 + 1786785/64*x^6*y^6*z^5 + 5360355/256*x^4*y^8*z^5 + 1072071/128*x^2*y^10*z^5 + 357357/256*y^12*z^5 - 153153/32*x^10*z^7 - 765765/32*x^8*y^2*z^7 - 765765/16*x^6*y^4*z^7 - 765765/16*x^4*y^6*z^7 - 765765/32*x^2*y^8*z^7 - 153153/32*y^10*z^7 + 425425/64*x^8*z^9 + 425425/16*x^6*y^2*z^9 + 1276275/32*x^4*y^4*z^9 + 425425/16*x^2*y^6*z^9 + 425425/64*y^8*z^9 - 7735/2*x^6*z^11 - 23205/2*x^4*y^2*z^11 - 23205/2*x^2*y^4*z^11 - 7735/2*y^6*z^11 + 1785/2*x^4*z^13 + 1785*x^2*y^2*z^13 + 1785/2*y^4*z^13 - 68*x^2*z^15 - 68*y^2*z^15 + z^17

17

1:

109395/32768*x^17 + 109395/4096*x^15*y^2 + 765765/8192*x^13*y^4 + 765765/4096*x^11*y^6 + 3828825/16384*x^9*y^8 + 765765/4096*x^7*y^10 + 765765/8192*x^5*y^12 + 109395/4096*x^3*y^14 + 109395/32768*x*y^16 - 984555/2048*x^15*z^2 - 6891885/2048*x^13*y^2*z^2 - 20675655/2048*x^11*y^4*z^2 - 34459425/2048*x^9*y^6*z^2 - 34459425/2048*x^7*y^8*z^2 - 20675655/2048*x^5*y^10*z^2 - 6891885/2048*x^3*y^12*z^2 - 984555/2048*x*y^14*z^2 + 2297295/256*x^13*z^4 + 6891885/128*x^11*y^2*z^4 + 34459425/256*x^9*y^4*z^4 + 11486475/64*x^7*y^6*z^4 + 34459425/256*x^5*y^8*z^4 + 6891885/128*x^3*y^10*z^4 + 2297295/256*x*y^12*z^4 - 3216213/64*x^11*z^6 - 16081065/64*x^9*y^2*z^6 - 16081065/32*x^7*y^4*z^6 - 16081065/32*x^5*y^6*z^6 - 16081065/64*x^3*y^8*z^6 - 3216213/64*x*y^10*z^6 + 6891885/64*x^9*z^8 + 6891885/16*x^7*y^2*z^8 + 20675655/32*x^5*y^4*z^8 + 6891885/16*x^3*y^6*z^8 + 6891885/64*x*y^8*z^8 - 765765/8*x^7*z^10 - 2297295/8*x^5*y^2*z^10 - 2297295/8*x^3*y^4*z^10 - 765765/8*x*y^6*z^10 + 69615/2*x^5*z^12 + 69615*x^3*y^2*z^12 + 69615/2*x*y^4*z^12 - 4590*x^3*z^14 - 4590*x*y^2*z^14 + 153*x*z^16

17

-1:

109395/32768*x^16*y + 109395/4096*x^14*y^3 + 765765/8192*x^12*y^5 + 765765/4096*x^10*y^7 + 3828825/16384*x^8*y^9 + 765765/4096*x^6*y^11 + 765765/8192*x^4*y^13 + 109395/4096*x^2*y^15 + 109395/32768*y^17 - 984555/2048*x^14*y*z^2 - 6891885/2048*x^12*y^3*z^2 - 20675655/2048*x^10*y^5*z^2 - 34459425/2048*x^8*y^7*z^2 - 34459425/2048*x^6*y^9*z^2 - 20675655/2048*x^4*y^11*z^2 - 6891885/2048*x^2*y^13*z^2 - 984555/2048*y^15*z^2 + 2297295/256*x^12*y*z^4 + 6891885/128*x^10*y^3*z^4 + 34459425/256*x^8*y^5*z^4 + 11486475/64*x^6*y^7*z^4 + 34459425/256*x^4*y^9*z^4 + 6891885/128*x^2*y^11*z^4 + 2297295/256*y^13*z^4 - 3216213/64*x^10*y*z^6 - 16081065/64*x^8*y^3*z^6 - 16081065/32*x^6*y^5*z^6 - 16081065/32*x^4*y^7*z^6 - 16081065/64*x^2*y^9*z^6 - 3216213/64*y^11*z^6 + 6891885/64*x^8*y*z^8 + 6891885/16*x^6*y^3*z^8 + 20675655/32*x^4*y^5*z^8 + 6891885/16*x^2*y^7*z^8 + 6891885/64*y^9*z^8 - 765765/8*x^6*y*z^10 - 2297295/8*x^4*y^3*z^10 - 2297295/8*x^2*y^5*z^10 - 765765/8*y^7*z^10 + 69615/2*x^4*y*z^12 + 69615*x^2*y^3*z^12 + 69615/2*y^5*z^12 - 4590*x^2*y*z^14 - 4590*y^3*z^14 + 153*y*z^16

17

2:

-2078505/2048*x^16*z - 6235515/1024*x^14*y^2*z - 14549535/1024*x^12*y^4*z - 14549535/1024*x^10*y^6*z + 14549535/1024*x^6*y^10*z + 14549535/1024*x^4*y^12*z + 6235515/1024*x^2*y^14*z + 2078505/2048*y^16*z + 43648605/1024*x^14*z^3 + 218243025/1024*x^12*y^2*z^3 + 392837445/1024*x^10*y^4*z^3 + 218243025/1024*x^8*y^6*z^3 - 218243025/1024*x^6*y^8*z^3 - 392837445/1024*x^4*y^10*z^3 - 218243025/1024*x^2*y^12*z^3 - 43648605/1024*y^14*z^3 - 26189163/64*x^12*z^5 - 26189163/16*x^10*y^2*z^5 - 130945815/64*x^8*y^4*z^5 + 130945815/64*x^4*y^8*z^5 + 26189163/16*x^2*y^10*z^5 + 26189163/64*y^12*z^5 + 43648605/32*x^10*z^7 + 130945815/32*x^8*y^2*z^7 + 43648605/16*x^6*y^4*z^7 - 43648605/16*x^4*y^6*z^7 - 130945815/32*x^2*y^8*z^7 - 43648605/32*y^10*z^7 - 14549535/8*x^8*z^9 - 14549535/4*x^6*y^2*z^9 + 14549535/4*x^2*y^6*z^9 + 14549535/8*y^8*z^9 + 3968055/4*x^6*z^11 + 3968055/4*x^4*y^2*z^11 - 3968055/4*x^2*y^4*z^11 - 3968055/4*y^6*z^11 - 203490*x^4*z^13 + 203490*y^4*z^13 + 11628*x^2*z^15 - 11628*y^2*z^15

17

-2:

-2078505/1024*x^15*y*z - 14549535/1024*x^13*y^3*z - 43648605/1024*x^11*y^5*z - 72747675/1024*x^9*y^7*z - 72747675/1024*x^7*y^9*z - 43648605/1024*x^5*y^11*z - 14549535/1024*x^3*y^13*z - 2078505/1024*x*y^15*z + 43648605/512*x^13*y*z^3 + 130945815/256*x^11*y^3*z^3 + 654729075/512*x^9*y^5*z^3 + 218243025/128*x^7*y^7*z^3 + 654729075/512*x^5*y^9*z^3 + 130945815/256*x^3*y^11*z^3 + 43648605/512*x*y^13*z^3 - 26189163/32*x^11*y*z^5 - 130945815/32*x^9*y^3*z^5 - 130945815/16*x^7*y^5*z^5 - 130945815/16*x^5*y^7*z^5 - 130945815/32*x^3*y^9*z^5 - 26189163/32*x*y^11*z^5 + 43648605/16*x^9*y*z^7 + 43648605/4*x^7*y^3*z^7 + 130945815/8*x^5*y^5*z^7 + 43648605/4*x^3*y^7*z^7 + 43648605/16*x*y^9*z^7 - 14549535/4*x^7*y*z^9 - 43648605/4*x^5*y^3*z^9 - 43648605/4*x^3*y^5*z^9 - 14549535/4*x*y^7*z^9 + 3968055/2*x^5*y*z^11 + 3968055*x^3*y^3*z^11 + 3968055/2*x*y^5*z^11 - 406980*x^3*y*z^13 - 406980*x*y^3*z^13 + 23256*x*y*z^15

17

3:

-2078505/2048*x^17 - 2078505/512*x^15*y^2 + 14549535/512*x^11*y^6 + 72747675/1024*x^9*y^8 + 43648605/512*x^7*y^10 + 14549535/256*x^5*y^12 + 10392525/512*x^3*y^14 + 6235515/2048*x*y^16 + 72747675/512*x^15*z^2 + 218243025/512*x^13*y^2*z^2 - 218243025/512*x^11*y^4*z^2 - 1818691875/512*x^9*y^6*z^2 - 3273645375/512*x^7*y^8*z^2 - 2837159325/512*x^5*y^10*z^2 - 1236710475/512*x^3*y^12*z^2 - 218243025/512*x*y^14*z^2 - 654729075/256*x^13*z^4 - 654729075/128*x^11*y^2*z^4 + 3273645375/256*x^9*y^4*z^4 + 3273645375/64*x^7*y^6*z^4 + 16368226875/256*x^5*y^8*z^4 + 4583103525/128*x^3*y^10*z^4 + 1964187225/256*x*y^12*z^4 + 218243025/16*x^11*z^6 + 218243025/16*x^9*y^2*z^6 - 654729075/8*x^7*y^4*z^6 - 1527701175/8*x^5*y^6*z^6 - 2400673275/16*x^3*y^8*z^6 - 654729075/16*x*y^10*z^6 - 218243025/8*x^9*z^8 + 654729075/4*x^5*y^4*z^8 + 218243025*x^3*y^6*z^8 + 654729075/8*x*y^8*z^8 + 43648605/2*x^7*z^10 - 43648605/2*x^5*y^2*z^10 - 218243025/2*x^3*y^4*z^10 - 130945815/2*x*y^6*z^10 - 6613425*x^5*z^12 + 13226850*x^3*y^2*z^12 + 19840275*x*y^4*z^12 + 581400*x^3*z^14 - 1744200*x*y^2*z^14

17

-3:

-6235515/2048*x^16*y - 10392525/512*x^14*y^3 - 14549535/256*x^12*y^5 - 43648605/512*x^10*y^7 - 72747675/1024*x^8*y^9 - 14549535/512*x^6*y^11 + 2078505/512*x^2*y^15 + 2078505/2048*y^17 + 218243025/512*x^14*y*z^2 + 1236710475/512*x^12*y^3*z^2 + 2837159325/512*x^10*y^5*z^2 + 3273645375/512*x^8*y^7*z^2 + 1818691875/512*x^6*y^9*z^2 + 218243025/512*x^4*y^11*z^2 - 218243025/512*x^2*y^13*z^2 - 72747675/512*y^15*z^2 - 1964187225/256*x^12*y*z^4 - 4583103525/128*x^10*y^3*z^4 - 16368226875/256*x^8*y^5*z^4 - 3273645375/64*x^6*y^7*z^4 - 3273645375/256*x^4*y^9*z^4 + 654729075/128*x^2*y^11*z^4 + 654729075/256*y^13*z^4 + 654729075/16*x^10*y*z^6 + 2400673275/16*x^8*y^3*z^6 + 1527701175/8*x^6*y^5*z^6 + 654729075/8*x^4*y^7*z^6 - 218243025/16*x^2*y^9*z^6 - 218243025/16*y^11*z^6 - 654729075/8*x^8*y*z^8 - 218243025*x^6*y^3*z^8 - 654729075/4*x^4*y^5*z^8 + 218243025/8*y^9*z^8 + 130945815/2*x^6*y*z^10 + 218243025/2*x^4*y^3*z^10 + 43648605/2*x^2*y^5*z^10 - 43648605/2*y^7*z^10 - 19840275*x^4*y*z^12 - 13226850*x^2*y^3*z^12 + 6613425*y^5*z^12 + 1744200*x^2*y*z^14 - 581400*y^3*z^14

17

4:

305540235/1024*x^16*z - 1527701175/256*x^12*y^4*z - 305540235/16*x^10*y^6*z - 13749310575/512*x^8*y^8*z - 305540235/16*x^6*y^10*z - 1527701175/256*x^4*y^12*z + 305540235/1024*y^16*z - 1527701175/128*x^14*z^3 + 1527701175/128*x^12*y^2*z^3 + 29026322325/128*x^10*y^4*z^3 + 68746552875/128*x^8*y^6*z^3 + 68746552875/128*x^6*y^8*z^3 + 29026322325/128*x^4*y^10*z^3 + 1527701175/128*x^2*y^12*z^3 - 1527701175/128*y^14*z^3 + 13749310575/128*x^12*z^5 - 13749310575/64*x^10*y^2*z^5 - 233738279775/128*x^8*y^4*z^5 - 96245174025/32*x^6*y^6*z^5 - 233738279775/128*x^4*y^8*z^5 - 13749310575/64*x^2*y^10*z^5 + 13749310575/128*y^12*z^5 - 654729075/2*x^10*z^7 + 1964187225/2*x^8*y^2*z^7 + 4583103525*x^6*y^4*z^7 + 4583103525*x^4*y^6*z^7 + 1964187225/2*x^2*y^8*z^7 - 654729075/2*y^10*z^7 + 1527701175/4*x^8*z^9 - 1527701175*x^6*y^2*z^9 - 7638505875/2*x^4*y^4*z^9 - 1527701175*x^2*y^6*z^9 + 1527701175/4*y^8*z^9 - 166658310*x^6*z^11 + 833291550*x^4*y^2*z^11 + 833291550*x^2*y^4*z^11 - 166658310*y^6*z^11 + 21366450*x^4*z^13 - 128198700*x^2*y^2*z^13 + 21366450*y^4*z^13

17

-4:

305540235/256*x^15*y*z + 1527701175/256*x^13*y^3*z + 2749862115/256*x^11*y^5*z + 1527701175/256*x^9*y^7*z - 1527701175/256*x^7*y^9*z - 2749862115/256*x^5*y^11*z - 1527701175/256*x^3*y^13*z - 305540235/256*x*y^15*z - 1527701175/32*x^13*y*z^3 - 1527701175/8*x^11*y^3*z^3 - 7638505875/32*x^9*y^5*z^3 + 7638505875/32*x^5*y^9*z^3 + 1527701175/8*x^3*y^11*z^3 + 1527701175/32*x*y^13*z^3 + 13749310575/32*x^11*y*z^5 + 41247931725/32*x^9*y^3*z^5 + 13749310575/16*x^7*y^5*z^5 - 13749310575/16*x^5*y^7*z^5 - 41247931725/32*x^3*y^9*z^5 - 13749310575/32*x*y^11*z^5 - 1309458150*x^9*y*z^7 - 2618916300*x^7*y^3*z^7 + 2618916300*x^3*y^7*z^7 + 1309458150*x*y^9*z^7 + 1527701175*x^7*y*z^9 + 1527701175*x^5*y^3*z^9 - 1527701175*x^3*y^5*z^9 - 1527701175*x*y^7*z^9 - 666633240*x^5*y*z^11 + 666633240*x*y^5*z^11 + 85465800*x^3*y*z^13 - 85465800*x*y^3*z^13

17

5:

305540235/1024*x^17 - 305540235/256*x^15*y^2 - 1527701175/128*x^13*y^4 - 7638505875/256*x^11*y^6 - 16804712925/512*x^9*y^8 - 3360942585/256*x^7*y^10 + 305540235/64*x^5*y^12 + 1527701175/256*x^3*y^14 + 1527701175/1024*x*y^16 - 10082827755/256*x^15*z^2 + 50414138775/256*x^13*y^2*z^2 + 352898971425/256*x^11*y^4*z^2 + 655383804075/256*x^9*y^6*z^2 + 453727248975/256*x^7*y^8*z^2 - 10082827755/256*x^5*y^10*z^2 - 151242416325/256*x^3*y^12*z^2 - 50414138775/256*x*y^14*z^2 + 84023564625/128*x^13*z^4 - 252070693875/64*x^11*y^2*z^4 - 2436683374125/128*x^9*y^4*z^4 - 756212081625/32*x^7*y^6*z^4 - 756212081625/128*x^5*y^8*z^4 + 420117823125/64*x^3*y^10*z^4 + 420117823125/128*x*y^12*z^4 - 50414138775/16*x^11*z^6 + 352898971425/16*x^9*y^2*z^6 + 554555526525/8*x^7*y^4*z^6 + 352898971425/8*x^5*y^6*z^6 - 252070693875/16*x^3*y^8*z^6 - 252070693875/16*x*y^10*z^6 + 21606059475/4*x^9*z^8 - 43212118950*x^7*y^2*z^8 - 151242416325/2*x^5*y^4*z^8 + 108030297375/4*x*y^8*z^8 - 3360942585*x^7*z^10 + 30248483265*x^5*y^2*z^10 + 16804712925*x^3*y^4*z^10 - 16804712925*x*y^6*z^10 + 611080470*x^5*z^12 - 6110804700*x^3*y^2*z^12 + 3055402350*x*y^4*z^12

17

-5:

1527701175/1024*x^16*y + 1527701175/256*x^14*y^3 + 305540235/64*x^12*y^5 - 3360942585/256*x^10*y^7 - 16804712925/512*x^8*y^9 - 7638505875/256*x^6*y^11 - 1527701175/128*x^4*y^13 - 305540235/256*x^2*y^15 + 305540235/1024*y^17 - 50414138775/256*x^14*y*z^2 - 151242416325/256*x^12*y^3*z^2 - 10082827755/256*x^10*y^5*z^2 + 453727248975/256*x^8*y^7*z^2 + 655383804075/256*x^6*y^9*z^2 + 352898971425/256*x^4*y^11*z^2 + 50414138775/256*x^2*y^13*z^2 - 10082827755/256*y^15*z^2 + 420117823125/128*x^12*y*z^4 + 420117823125/64*x^10*y^3*z^4 - 756212081625/128*x^8*y^5*z^4 - 756212081625/32*x^6*y^7*z^4 - 2436683374125/128*x^4*y^9*z^4 - 252070693875/64*x^2*y^11*z^4 + 84023564625/128*y^13*z^4 - 252070693875/16*x^10*y*z^6 - 252070693875/16*x^8*y^3*z^6 + 352898971425/8*x^6*y^5*z^6 + 554555526525/8*x^4*y^7*z^6 + 352898971425/16*x^2*y^9*z^6 - 50414138775/16*y^11*z^6 + 108030297375/4*x^8*y*z^8 - 151242416325/2*x^4*y^5*z^8 - 43212118950*x^2*y^7*z^8 + 21606059475/4*y^9*z^8 - 16804712925*x^6*y*z^10 + 16804712925*x^4*y^3*z^10 + 30248483265*x^2*y^5*z^10 - 3360942585*y^7*z^10 + 3055402350*x^4*y*z^12 - 6110804700*x^2*y^3*z^12 + 611080470*y^5*z^12

17

6:

-21082276215/256*x^16*z + 105411381075/128*x^14*y^2*z + 527056905375/128*x^12*y^4*z + 695715115095/128*x^10*y^6*z - 695715115095/128*x^6*y^10*z - 527056905375/128*x^4*y^12*z - 105411381075/128*x^2*y^14*z + 21082276215/256*y^16*z + 386508397275/128*x^14*z^3 - 4251592370025/128*x^12*y^2*z^3 - 15073827493725/128*x^10*y^4*z^3 - 10435726726425/128*x^8*y^6*z^3 + 10435726726425/128*x^6*y^8*z^3 + 15073827493725/128*x^4*y^10*z^3 + 4251592370025/128*x^2*y^12*z^3 - 386508397275/128*y^14*z^3 - 386508397275/16*x^12*z^5 + 1159525191825/4*x^10*y^2*z^5 + 10435726726425/16*x^8*y^4*z^5 - 10435726726425/16*x^4*y^8*z^5 - 1159525191825/4*x^2*y^10*z^5 + 386508397275/16*y^12*z^5 + 496939367925/8*x^10*z^7 - 6460211783025/8*x^8*y^2*z^7 - 3478575575475/4*x^6*y^4*z^7 + 3478575575475/4*x^4*y^6*z^7 + 6460211783025/8*x^2*y^8*z^7 - 496939367925/8*y^10*z^7 - 55215485325*x^8*z^9 + 773016794550*x^6*y^2*z^9 - 773016794550*x^2*y^6*z^9 + 55215485325*y^8*z^9 + 14054850810*x^6*z^11 - 210822762150*x^4*y^2*z^11 + 210822762150*x^2*y^4*z^11 - 14054850810*y^6*z^11

17

-6:

-63246828645/128*x^15*y*z - 105411381075/128*x^13*y^3*z + 358398695655/128*x^11*y^5*z + 1159525191825/128*x^9*y^7*z + 1159525191825/128*x^7*y^9*z + 358398695655/128*x^5*y^11*z - 105411381075/128*x^3*y^13*z - 63246828645/128*x*y^15*z + 1159525191825/64*x^13*y*z^3 + 386508397275/32*x^11*y^3*z^3 - 7343659548225/64*x^9*y^5*z^3 - 3478575575475/16*x^7*y^7*z^3 - 7343659548225/64*x^5*y^9*z^3 + 386508397275/32*x^3*y^11*z^3 + 1159525191825/64*x*y^13*z^3 - 1159525191825/8*x^11*y*z^5 + 386508397275/8*x^9*y^3*z^5 + 3478575575475/4*x^7*y^5*z^5 + 3478575575475/4*x^5*y^7*z^5 + 386508397275/8*x^3*y^9*z^5 - 1159525191825/8*x*y^11*z^5 + 1490818103775/4*x^9*y*z^7 - 496939367925*x^7*y^3*z^7 - 3478575575475/2*x^5*y^5*z^7 - 496939367925*x^3*y^7*z^7 + 1490818103775/4*x*y^9*z^7 - 331292911950*x^7*y*z^9 + 773016794550*x^5*y^3*z^9 + 773016794550*x^3*y^5*z^9 - 331292911950*x*y^7*z^9 + 84329104860*x^5*y*z^11 - 281097016200*x^3*y^3*z^11 + 84329104860*x*y^5*z^11

17

7:

-21082276215/256*x^17 + 21082276215/16*x^15*y^2 + 316234143225/64*x^13*y^4 + 21082276215/8*x^11*y^6 - 1159525191825/128*x^9*y^8 - 231905038365/16*x^7*y^10 - 442727800515/64*x^5*y^12 + 147575933505/256*x*y^16 + 316234143225/32*x^15*z^2 - 5375980434825/32*x^13*y^2*z^2 - 13598068158675/32*x^11*y^4*z^2 + 3478575575475/32*x^9*y^6*z^2 + 31307180179275/32*x^7*y^8*z^2 + 24350029028325/32*x^5*y^10*z^2 + 2213639002575/32*x^3*y^12*z^2 - 2213639002575/32*x*y^14*z^2 - 1159525191825/8*x^13*z^4 + 10435726726425/4*x^11*y^2*z^4 + 28988129795625/8*x^9*y^4*z^4 - 10435726726425/2*x^7*y^6*z^4 - 73050087084975/8*x^5*y^8*z^4 - 8116676342775/4*x^3*y^10*z^4 + 8116676342775/8*x*y^12*z^4 + 1159525191825/2*x^11*z^6 - 22030978644675/2*x^9*y^2*z^6 - 3478575575475*x^7*y^4*z^6 + 24350029028325*x^5*y^6*z^6 + 24350029028325/2*x^3*y^8*z^6 - 8116676342775/2*x*y^10*z^6 - 1490818103775/2*x^9*z^8 + 14908181037750*x^7*y^2*z^8 - 10435726726425*x^5*y^4*z^8 - 20871453452850*x^3*y^6*z^8 + 10435726726425/2*x*y^8*z^8 + 265034329560*x^7*z^10 - 5565720920760*x^5*y^2*z^10 + 9276201534600*x^3*y^4*z^10 - 1855240306920*x*y^6*z^10

17

-7:

-147575933505/256*x^16*y + 442727800515/64*x^12*y^5 + 231905038365/16*x^10*y^7 + 1159525191825/128*x^8*y^9 - 21082276215/8*x^6*y^11 - 316234143225/64*x^4*y^13 - 21082276215/16*x^2*y^15 + 21082276215/256*y^17 + 2213639002575/32*x^14*y*z^2 - 2213639002575/32*x^12*y^3*z^2 - 24350029028325/32*x^10*y^5*z^2 - 31307180179275/32*x^8*y^7*z^2 - 3478575575475/32*x^6*y^9*z^2 + 13598068158675/32*x^4*y^11*z^2 + 5375980434825/32*x^2*y^13*z^2 - 316234143225/32*y^15*z^2 - 8116676342775/8*x^12*y*z^4 + 8116676342775/4*x^10*y^3*z^4 + 73050087084975/8*x^8*y^5*z^4 + 10435726726425/2*x^6*y^7*z^4 - 28988129795625/8*x^4*y^9*z^4 - 10435726726425/4*x^2*y^11*z^4 + 1159525191825/8*y^13*z^4 + 8116676342775/2*x^10*y*z^6 - 24350029028325/2*x^8*y^3*z^6 - 24350029028325*x^6*y^5*z^6 + 3478575575475*x^4*y^7*z^6 + 22030978644675/2*x^2*y^9*z^6 - 1159525191825/2*y^11*z^6 - 10435726726425/2*x^8*y*z^8 + 20871453452850*x^6*y^3*z^8 + 10435726726425*x^4*y^5*z^8 - 14908181037750*x^2*y^7*z^8 + 1490818103775/2*y^9*z^8 + 1855240306920*x^6*y*z^10 - 9276201534600*x^4*y^3*z^10 + 5565720920760*x^2*y^5*z^10 - 265034329560*y^7*z^10

17

8:

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17

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17

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17

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17

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17

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17

11:

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17

-11:

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17

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17

-12:

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17

13:

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17

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17

14:

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17

-14:

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17

15:

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17

-15:

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17

16:

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17

-16:

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17

17:

6332659870762850625*x^17 - 861241742423747685000*x^15*y^2 + 15071730492415584487500*x^13*y^4 - 78372998560561039335000*x^11*y^6 + 153946961458244898693750*x^9*y^8 - 123157569166595918955000*x^7*y^10 + 39186499280280519667500*x^5*y^12 - 4306208712118738425000*x^3*y^14 + 107655217802968460625*x*y^16

17

-17:

107655217802968460625*x^16*y - 4306208712118738425000*x^14*y^3 + 39186499280280519667500*x^12*y^5 - 123157569166595918955000*x^10*y^7 + 153946961458244898693750*x^8*y^9 - 78372998560561039335000*x^6*y^11 + 15071730492415584487500*x^4*y^13 - 861241742423747685000*x^2*y^15 + 6332659870762850625*y^17