Templates for POV-Ray poly{} objects, meant for 
cutnpasting into scene files. These are all prefilled 
with 0's  and labels to make it easier find and fill 
in the appropriate polynomial coefficients. 

The numbers in the labels are all exponents. 
i.e. /*y2z3*/ represents y^2 z^3

For example
       x^2 + xz- 5x + y^2 - 1 = 0
becomes:
     poly{2,
     <
     1 /*x2*/,   0 /*xy*/,   1 /*xz*/,   -5 /*x*/,   1 /*y2*/,
     0 /*yz*/,   0 /*y*/,    0 /*z2*/,    0 /*z*/,  -1 /*constant*/
     >
     sturm
     }


/* -------- the templates ----------------------------------------------
*/

poly{2,
<
0 /*x2*/,       0 /*xy*/,       0 /*xz*/,       0 /*x*/,        0
/*y2*/, 
0 /*yz*/,       0 /*y*/,        0 /*z2*/,       0 /*z*/,        0
/*constant*/
>
sturm
}

poly{3,
<
0 /*x3*/,       0 /*x2y*/,      0 /*x2z*/,      0 /*x2*/,       0
/*xy2*/, 
0 /*xyz*/,      0 /*xy*/,       0 /*xz2*/,      0 /*xz*/,       0 /*x*/,
0 /*y3*/,       0 /*y2z*/,      0 /*y2*/,       0 /*yz2*/,      0
/*yz*/, 
0 /*y*/,        0 /*z3*/,       0 /*z2*/,       0 /*z*/,        0
/*constant*/
>
sturm
}

poly{4,
<
0 /*x4*/,       0 /*x3y*/,      0 /*x3z*/,      0 /*x3*/,       0
/*x2y2*/, 
0 /*x2yz*/,     0 /*x2y*/,      0 /*x2z2*/,     0 /*x2z*/,      0
/*x2*/, 
0 /*xy3*/,      0 /*xy2 z*/,    0 /*xy2*/,      0 /*xyz2*/,     0
/*xyz*/, 
0 /*xy*/,       0 /*xz3*/,      0 /*xz2*/,      0 /*x z*/,      0 /*x*/, 
0 /*y4*/,       0 /*y3 z*/,     0 /*y3*/,       0 /*y2z2*/,     0
/*y2z*/, 
0 /*y2*/,       0 /*yz3*/,      0 /*yz2*/,      0 /*y z*/,      0 /*y*/, 
0 /*z4*/,       0 /*z3*/,       0 /*z2*/,       0 /*z*/,        0
/*constant*/
>
sturm
}

poly{ 5,
<
0 /*x5*/,       0 /*x4y*/,      0 /*A3x4z*/,    0 /*x4*/,       0
/*x3y2*/, 
0 /*x3yz*/,     0 /*x3y*/,      0 /*x3z2*/,     0 /*x3z*/,      0
/*x3*/, 
0 /*x2y3*/,     0 /*x2y2z*/,    0 /*x2y2*/,     0 /*x2yz2*/,    0
/*x2yz*/, 
0 /*x2y*/,      0 /*x2z3*/,     0 /*x2z2*/,     0 /*x2z*/,      0
/*x2*/, 
0 /*xy4*/,      0 /*xy3z*/,     0 /*xy3*/,      0 /*xy2z2*/,    0
/*xy2z*/, 
0 /*xy2*/,      0 /*xyz3*/,     0 /*xyz2*/,     0 /*xyz*/,      0
/*xy*/, 
0 /*xz4*/,      0 /*xz3*/,      0 /*xz2*/,      0 /*xz*/,       0 /*x*/, 
0 /*y5*/,       0 /*y4z*/,      0 /*y4*/,       0 /*y3z2*/,     0
/*y3z*/,
0 /*y3*/,       0 /*y2z3*/,     0 /*y2z2*/,     0 /*y2z*/,      0
/*y2*/, 
0 /*yz4*/,      0 /*yz3*/,      0 /*yz2*/,      0 /*yz*/,       0 /*y*/, 
0 /*z5*/,       0 /*z4*/,       0 /*z3*/,       0 /*z2*/,       0 /*z*/, 
0 /*constant*/
>
sturm
}


poly{ 6,
<
0 /*x6*/,       0 /*x5y*/,      0 /*x5z*/,      0 /*x5*/,       0
/*x4y2*/,
0 /*x4yz*/,     0 /*x4y*/,      0 /*x4z2*/,     0 /*x4z*/,      0
/*x4*/, 
0 /*x3y3*/,     0 /*x3y2z*/,    0 /*x3y2*/,     0 /*x3yz2*/,    0
/*x3yz*/, 
0 /*x3y*/,      0 /*x3z3*/,     0 /*x3z2*/,     0 /*x3z*/,      0
/*x3*/,
0 /*x2y4*/,     0 /*x2y3z*/,    0 /*x2y3*/,     0 /*x2y2z2*/,   0
/*x2y2z*/,
0 /*x2y2*/,     0 /*x2yz3*/,    0 /*x2yz2*/,    0 /*x2yz*/,     0
/*x2y*/,
0 /*x2z4*/,     0 /*x2z3 */,    0 /*x2z2*/,     0 /*x2z*/,      0
/*x2*/,
0 /*xy5 */,     0 /*xy4z*/,     0 /*xy4*/,      0 /*xy3z2*/,    0
/*xy3z*/,
0 /*xy3*/,      0 /*xy2z3*/,    0 /*xy2z2*/,    0 /*xy2z*/,     0
/*xy2*/, 
0 /*xyz4*/,     0 /*xyz3*/,     0 /*xyz2*/,     0 /*xyz*/,      0
/*xy*/, 
0 /*xz5*/,      0 /*xz4*/,      0 /*xz3*/,      0 /*xz2*/,      0
/*xz*/,  
0 /*x*/,        0 /*y6*/,       0 /*y5z*/,      0 /*y5*/,       0
/*y4z2*/, 
0 /*y4z*/,      0 /*y4*/,       0 /*y3z3*/,     0 /*y3z2*/,     0
/*y3z*/, 
0 /*y3*/,       0 /*y2z4*/,     0 /*y2z3*/,     0 /*y2z2*/,     0
/*y2z*/, 
0 /*y2*/,       0 /*yz5*/,      0 /*yz4*/,      0 /*yz3*/,      0
/*yz2*/, 
0 /*yz*/,       0 /*y*/,        0 /*z6*/,       0 /*z5*/,       0
/*z4*/,
0 /*z3*/,       0 /*z2*/,       0 /*z*/,        0 /*constant*/
>
sturm
}

poly{7,
<
0 /*x7*/,       0 /*x6y*/,      0 /*x5z*/,      0 /*x5*/,       0
/*x5y2*/,
0 /*x5yz*/,     0 /*x5y*/,      0 /*x5z2*/,     0 /*x5z*/,      0
/*x5*/, 
0 /*x4y3*/,     0 /*x4y2z*/,    0 /*x4y2*/,     0 /*x4yz2*/,    0
/*x4yz*/,
0 /*x4y*/,      0 /*x4z3*/,     0 /*x4z2*/,     0 /*x4z*/,      0
/*x4*/,
0 /*x3y4*/,     0 /*x3y3z*/,    0 /*x3y3*/,     0 /*x3y2z2*/,   0
/*x3y2z*/,
0 /*x3y2*/,     0 /*x3yz3*/,    0 /*x3yz2*/,    0 /*x3yz*/,     0
/*x3y*/,
0 /*x3z4*/,     0 /*x3z3*/,     0 /*x3z2*/,     0 /*x3z*/,      0
/*x3*/,
0 /*x2y5*/,     0 /*x2y4z*/,    0 /*x2y4*/,     0 /*x2y3z2*/,   0
/*x2y3z*/,
0 /*x2y3*/,     0 /*x2y2z3*/,   0 /*x2y2z2*/,   0 /*x2y2z*/,    0
/*x2y2*/,
0 /*x2yz4*/,    0 /*x2yz3*/,    0 /*x2yz2*/,    0 /*x2yz*/,     0
/*x2y*/,
0 /*x2z5*/,     0 /*x2z4*/,     0 /*x2z3*/,     0 /*x2z2*/,     0
/*x2z*/,
0 /*x2*/,       0 /*xy6*/,      0 /*xy5z*/,     0 /*xy5*/,      0
/*xy4z2*/,
0 /*xy4z*/,     0 /*xy4*/,      0 /*xy3z3*/,    0 /*xy3z2*/,    0
/*xy3z*/,
0 /*xy3*/,      0 /*xy2z4*/,    0 /*xy2z3*/,    0 /*xy2z2*/,    0
/*xy2z*/,
0 /*xy2*/,      0 /*xyz5*/,     0 /*xyz4*/,     0 /*xyz3*/,     0
/*xyz2*/,
0 /*xyz*/,      0 /*xy*/,       0 /*xz6*/,      0 /*xz5*/,      0
/*xz4*/,
0 /*xz3*/,      0 /*xz2*/,      0 /*xz*/,       0 /*x*/,        0
/*y7*/,
0 /*y6z*/,      0 /*y6*/,       0 /*y5z2*/,     0 /*y5z*/,      0
/*y5*/,
0 /*y4z3*/,     0 /*y4z2*/,     0 /*y4z*/,      0 /*y4*/,       0
/*y3z4*/,
0 /*y3z3*/,     0 /*y3z2*/,     0 /*y3z*/,      0 /*y3*/,       0
/*y2z5*/,
0 /*y2z4*/,     0 /*y2z3*/,     0 /*y2z2*/,     0 /*y2z*/,      0
/*y2*/,
0 /*yz6*/,      0 /*yz5*/,      0 /*yz4*/,      0 /*yz3*/,      0
/*yz2*/,
0 /*yz*/,       0 /*y*/,        0 /*z7*/,       0 /*z6*/,       0
/*z5*/, 
0 /*z4*/,       0 /*z3*/,       0 /*z2*/,       0 /*z*/,        0
/*constant*/
>
sturm
}

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