source: git/Tst/Short/fres_s.tst @ eadba07

LIB "tst.lib";
tst_init();

proc resort(ideal I)
{
    ideal J;
    int i = 1;
    int j, k;
    for (j = 1; j <= ncols(I); j++) {
        if (deg(I[j]) != deg(I[i])) {
            for (k = j-1; k >= i; k--) {
                J[i-1+j-k] = I[k];
            } 
            i = j;
        }
    }
    for (k = j-1; k >= i; k--) {
        J[i-1+j-k] = I[k];
    }
    return(J);
}

// AGR@10007n6d5s12%1
ring r = 10007, (a,b,c,d,e,f,g), dp;
ideal I = 
  [a*g+3049*b*g-3031*c*g-3872*d*g-1218*e*g-4936*f*g, e*f+2193*b*g+2675*c*g+1570*d*g+334*e*g+3234*f*g, d*f-4210*b*g-2175*c*g+240*d*g-274*e*g-3589*f*g, c*f+4122*b*g-1417*c*g+4579*d*g+62*e*g+2660*f*g, b*f+24*b*g+807*c*g-4118*d*g-4745*e*g-1976*f*g, a*f+1050*b*g-1740*c*g-2179*d*g-253*e*g+3121*f*g, d*e-3150*b*g-1225*c*g+1229*d*g+3158*e*g-13*f*g, c*e-4817*b*g+2084*c*g-3073*d*g+225*e*g-4427*f*g, b*e+3743*b*g+4708*c*g-4540*d*g+4815*e*g+1280*f*g, a*e+112*b*g+1506*c*g-3715*d*g+116*e*g+1980*f*g, c*d+4785*b*g-1014*c*g-1078*d*g-880*e*g-1814*f*g, b*d-4879*b*g-3941*c*g+4952*d*g+2248*e*g+1619*f*g, a*d-3004*b*g-4555*c*g+1529*d*g+4667*e*g+1362*f*g, b*c-1597*b*g-172*c*g-3293*d*g+1500*e*g+3561*f*g, a*c-4835*b*g+4436*c*g+1123*d*g+574*e*g-1299*f*g, a*b-3798*b*g+156*c*g-3199*d*g+929*e*g-4096*f*g, e^4-3540*f^4-322*b*g^3+1421*c*g^3+2638*d*g^3+120*e*g^3+3376*f*g^3-2458*g^4, d^4+1021*f^4-3143*b*g^3+2468*c*g^3-1055*d*g^3-3060*e*g^3+3620*f*g^3-3305*g^4, c^4-2253*f^4+3933*b*g^3-257*c*g^3-272*d*g^3-4354*e*g^3-591*f*g^3-254*g^4, b^4+3587*f^4+2070*b*g^3-3942*c*g^3+1908*d*g^3-2943*e*g^3-858*f*g^3+3517*g^4, a^4+1186*f^4-3498*b*g^3-2066*c*g^3+3500*d*g^3+1194*e*g^3+105*f*g^3+2501*g^4]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
print(betti(s, 1), "betti");
list(s);
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
list(s);
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
list(s);
kill r;

// CNC@32003g08%1
ring r = 32003, (t_0,t_1,t_2,t_3,t_4,t_5,t_6,t_7), dp;
ideal I = 
  [t_4^2-11562*t_0*t_5+7830*t_1*t_5+15848*t_2*t_5+15318*t_3*t_5+14862*t_4*t_5-2359*t_5^2-8147*t_0*t_6+8135*t_1*t_6-10982*t_2*t_6+10294*t_3*t_6+8855*t_4*t_6+13975*t_5*t_6+10574*t_6^2+8020*t_0*t_7-4337*t_1*t_7+6847*t_2*t_7-6496*t_3*t_7-13975*t_4*t_7-10574*t_5*t_7, t_3*t_4+11991*t_0*t_5-3476*t_1*t_5-14374*t_2*t_5-2073*t_3*t_5+15332*t_4*t_5-12792*t_5^2-2016*t_0*t_6-7341*t_1*t_6-13969*t_2*t_6-9983*t_3*t_6-2784*t_4*t_6+13194*t_5*t_6-7842*t_6^2-10289*t_0*t_7-15961*t_1*t_7-5349*t_2*t_7+15576*t_3*t_7-13194*t_4*t_7+7842*t_5*t_7, t_2*t_4-300*t_0*t_5-3100*t_1*t_5+12039*t_2*t_5+9536*t_3*t_5-10461*t_4*t_5-3541*t_5^2+2371*t_0*t_6-3025*t_1*t_6+6945*t_2*t_6+12637*t_3*t_6-6525*t_4*t_6+665*t_5*t_6-2899*t_6^2-9014*t_0*t_7+15522*t_1*t_7-2176*t_2*t_7+10066*t_3*t_7-665*t_4*t_7+2899*t_5*t_7, t_1*t_4-1089*t_0*t_5+3321*t_1*t_5-2332*t_2*t_5+13031*t_3*t_5+14754*t_4*t_5-6349*t_5^2-8791*t_0*t_6-12788*t_1*t_6-13463*t_2*t_6+15502*t_3*t_6-15563*t_4*t_6-14193*t_5*t_6-10649*t_6^2+15120*t_0*t_7+432*t_1*t_7+1747*t_2*t_7-10091*t_3*t_7+14193*t_4*t_7+10649*t_5*t_7, t_0*t_4+14230*t_0*t_5+7677*t_1*t_5-8022*t_2*t_5-1094*t_3*t_5-13158*t_4*t_5+11859*t_5^2+2259*t_0*t_6+13380*t_1*t_6-10927*t_2*t_6-10618*t_3*t_6+9460*t_4*t_6+716*t_5*t_6-6711*t_6^2-5358*t_0*t_7+12021*t_1*t_7-8227*t_2*t_7+10684*t_3*t_7-716*t_4*t_7+6711*t_5*t_7, t_3^2-12661*t_0*t_5-3663*t_1*t_5+444*t_2*t_5-8767*t_3*t_5-11522*t_4*t_5-1374*t_5^2+14603*t_0*t_6-1692*t_1*t_6-6618*t_2*t_6-11255*t_3*t_6+15783*t_4*t_6+3194*t_5*t_6-14330*t_6^2+1248*t_0*t_7+15385*t_1*t_7-9226*t_2*t_7-14409*t_3*t_7-3194*t_4*t_7+14330*t_5*t_7, t_2*t_3-920*t_0*t_5+3211*t_1*t_5+5552*t_2*t_5+45*t_3*t_5-6365*t_4*t_5+4533*t_5^2+1943*t_0*t_6-3947*t_1*t_6-2583*t_2*t_6-14741*t_3*t_6-13471*t_4*t_6-4473*t_5*t_6+9330*t_6^2-1605*t_0*t_7+2538*t_1*t_7-10897*t_2*t_7+8938*t_3*t_7+4473*t_4*t_7-9330*t_5*t_7, t_1*t_3+590*t_0*t_5-13175*t_1*t_5-10639*t_2*t_5+2824*t_3*t_5+5421*t_4*t_5+9011*t_5^2-13613*t_0*t_6+7891*t_1*t_6-12563*t_2*t_6-3529*t_3*t_6+14487*t_4*t_6-7148*t_5*t_6-6669*t_6^2+2748*t_0*t_7+9739*t_1*t_7-1892*t_2*t_7+8505*t_3*t_7+7148*t_4*t_7+6669*t_5*t_7, t_0*t_3-12136*t_0*t_5+12279*t_1*t_5-14159*t_2*t_5-10246*t_3*t_5-7318*t_4*t_5-10560*t_5^2+163*t_0*t_6+11446*t_1*t_6+2549*t_2*t_6+8027*t_3*t_6-9279*t_4*t_6-583*t_5*t_6+60*t_6^2+2713*t_0*t_7+7697*t_1*t_7-709*t_2*t_7-12164*t_3*t_7+583*t_4*t_7-60*t_5*t_7, t_2^2-9375*t_0*t_5+4540*t_1*t_5+11220*t_2*t_5-8731*t_3*t_5+11769*t_4*t_5+10594*t_5^2+9075*t_0*t_6-10958*t_1*t_6+8688*t_2*t_6+2345*t_3*t_6+13409*t_4*t_6-4254*t_5*t_6-4447*t_6^2-262*t_0*t_7+43*t_1*t_7-14114*t_2*t_7+8000*t_3*t_7+4254*t_4*t_7+4447*t_5*t_7, t_1*t_2+8908*t_0*t_5+8747*t_1*t_5-523*t_2*t_5+6334*t_3*t_5+15361*t_4*t_5-2017*t_5^2+11516*t_0*t_6-13508*t_1*t_6-9062*t_2*t_6+10917*t_3*t_6+15694*t_4*t_6-12689*t_5*t_6+1151*t_6^2+14031*t_0*t_7+2728*t_1*t_7+5725*t_2*t_7-13677*t_3*t_7+12689*t_4*t_7-1151*t_5*t_7, t_0*t_2+2714*t_0*t_5+8270*t_1*t_5+15039*t_2*t_5-14850*t_3*t_5-4336*t_4*t_5+13805*t_5^2+13335*t_0*t_6+1401*t_1*t_6+3292*t_2*t_6-10274*t_3*t_6+7125*t_4*t_6-13250*t_5*t_6+10408*t_6^2+15563*t_0*t_7+11558*t_1*t_7+14610*t_2*t_7+11073*t_3*t_7+13250*t_4*t_7-10408*t_5*t_7, t_1^2-14100*t_0*t_5-30*t_1*t_5-6155*t_2*t_5+10508*t_3*t_5-11806*t_4*t_5+828*t_5^2-1623*t_0*t_6+947*t_1*t_6+2822*t_2*t_6-4100*t_3*t_6-7471*t_4*t_6-3066*t_5*t_6+12033*t_6^2+5208*t_0*t_7-13330*t_1*t_7+15906*t_2*t_7+6643*t_3*t_7+3066*t_4*t_7-12033*t_5*t_7, t_0*t_1+4398*t_0*t_5+10714*t_1*t_5-4972*t_2*t_5-6517*t_3*t_5+15381*t_4*t_5+3972*t_5^2+86*t_0*t_6+12832*t_1*t_6-15324*t_2*t_6-10622*t_3*t_6+11676*t_4*t_6-920*t_5*t_6+2412*t_6^2-7860*t_0*t_7-10162*t_1*t_7-4759*t_2*t_7-15648*t_3*t_7+920*t_4*t_7-2412*t_5*t_7, t_0^2+244*t_0*t_5+2522*t_1*t_5+1618*t_2*t_5-1756*t_3*t_5-7294*t_4*t_5+1301*t_5^2-13470*t_0*t_6-1557*t_1*t_6+5087*t_2*t_6-11445*t_3*t_6-288*t_4*t_6+15742*t_5*t_6-9677*t_6^2-61*t_0*t_7-3331*t_1*t_7-13264*t_2*t_7-1013*t_3*t_7-15742*t_4*t_7+9677*t_5*t_7]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
print(betti(s, 1), "betti");
list(s);
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
list(s);
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
list(s);
kill r;

// PCNC@15187g08_2%1
ring r = 15187, (t_0,t_1,t_2,t_3,t_4,t_5,t_6), dp;
ideal I = 
  [t_0*t_3-3644*t_1*t_3-7273*t_2*t_3+5401*t_3^2-2661*t_0*t_4+6152*t_1*t_4-3933*t_2*t_4+1737*t_3*t_4-1074*t_4^2-2635*t_0*t_5+1869*t_1*t_5-3554*t_2*t_5+3969*t_3*t_5+4742*t_4*t_5-1304*t_5^2-3337*t_0*t_6+1817*t_1*t_6-2895*t_2*t_6-4742*t_3*t_6+1304*t_4*t_6, t_2^2-2264*t_1*t_3+1177*t_2*t_3-3592*t_3^2-6351*t_0*t_4-1812*t_1*t_4+3443*t_2*t_4+5781*t_3*t_4+2493*t_4^2+6075*t_0*t_5+3311*t_1*t_5-1124*t_2*t_5+3768*t_3*t_5-6805*t_4*t_5+6770*t_5^2-3162*t_0*t_6-4657*t_1*t_6-6261*t_2*t_6+6805*t_3*t_6-6770*t_4*t_6, t_1*t_2-3666*t_1*t_3-5346*t_2*t_3+252*t_3^2+1596*t_0*t_4+7060*t_1*t_4+1005*t_2*t_4-3995*t_3*t_4+4956*t_4^2-4836*t_0*t_5+2246*t_1*t_5-320*t_2*t_5+3545*t_3*t_5+1358*t_4*t_5-469*t_5^2-3503*t_0*t_6+4315*t_1*t_6+6686*t_2*t_6-1358*t_3*t_6+469*t_4*t_6, t_0*t_2-387*t_1*t_3-453*t_2*t_3+1128*t_3^2+1203*t_0*t_4+3634*t_1*t_4-7571*t_2*t_4+2036*t_3*t_4-5267*t_4^2+2767*t_0*t_5-7549*t_1*t_5+2339*t_2*t_5+6090*t_3*t_5+6365*t_4*t_5+565*t_5^2-1195*t_0*t_6-4375*t_1*t_6-823*t_2*t_6-6365*t_3*t_6-565*t_4*t_6, t_1^2+3199*t_1*t_3+3774*t_2*t_3-6272*t_3^2-650*t_0*t_4-3662*t_1*t_4-3233*t_2*t_4+5710*t_3*t_4-1559*t_4^2-3840*t_0*t_5+2627*t_1*t_5-7062*t_2*t_5-6984*t_3*t_5-5772*t_4*t_5-1319*t_5^2+6878*t_0*t_6+1352*t_1*t_6-6644*t_2*t_6+5772*t_3*t_6+1319*t_4*t_6, t_0*t_1-4750*t_1*t_3-1472*t_2*t_3-5136*t_3^2-1644*t_0*t_4+6772*t_1*t_4+2993*t_2*t_4+5343*t_3*t_4-2045*t_4^2-3877*t_0*t_5-1074*t_1*t_5-7253*t_2*t_5-5704*t_3*t_5-1629*t_4*t_5+5486*t_5^2+3217*t_0*t_6+1910*t_1*t_6-7438*t_2*t_6+1629*t_3*t_6-5486*t_4*t_6, t_0^2-5666*t_1*t_3+7406*t_2*t_3+2516*t_3^2-2067*t_0*t_4-1372*t_1*t_4-4687*t_2*t_4+6361*t_3*t_4+1701*t_4^2+2219*t_0*t_5+5387*t_1*t_5+2478*t_2*t_5-290*t_3*t_5+6381*t_4*t_5-4260*t_5^2-3216*t_0*t_6+6348*t_1*t_6-1411*t_2*t_6-6381*t_3*t_6+4260*t_4*t_6, t_4^3+5470*t_1*t_3*t_5+6668*t_2*t_3*t_5-5248*t_3^2*t_5+3550*t_0*t_4*t_5-1042*t_1*t_4*t_5+5528*t_2*t_4*t_5-2124*t_3*t_4*t_5+3561*t_4^2*t_5-7494*t_0*t_5^2-5390*t_1*t_5^2+6276*t_2*t_5^2+7221*t_3*t_5^2+6062*t_4*t_5^2-2885*t_5^3-4411*t_1*t_3*t_6-4643*t_2*t_3*t_6+590*t_3^2*t_6+6460*t_0*t_4*t_6+4593*t_1*t_4*t_6-717*t_2*t_4*t_6+5623*t_3*t_4*t_6-118*t_4^2*t_6+179*t_0*t_5*t_6+5747*t_1*t_5*t_6-2804*t_2*t_5*t_6+356*t_3*t_5*t_6-4839*t_4*t_5*t_6+2695*t_5^2*t_6+5414*t_0*t_6^2+1586*t_1*t_6^2-6300*t_2*t_6^2-7463*t_3*t_6^2-2695*t_4*t_6^2]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
print(betti(s, 1), "betti");
list(s);
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
list(s);
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
list(s);
kill r;

// AGR@10007n6d5s24%1
ring r = 10007, (a,b,c,d,e,f,g), dp;
ideal I =
  [a*d+1957*b*d-3415*c*d+2316*a*e-2307*b*e-2665*c*e-1341*d*e-3886*a*f+4380*b*f+2088*c*f-478*d*f+1657*e*f+748*a*g-3915*b*g-1342*c*g+1287*d*g+4882*e*g+33*f*g, b*c-288*b*d-3164*c*d+3280*a*e+906*b*e-4303*c*e+2397*d*e-3495*a*f+2619*b*f-4895*c*f+4920*d*f-4289*e*f-4696*a*g-3961*b*g-952*c*g-2241*d*g-2478*e*g+625*f*g, a*c+1186*b*d-4228*c*d-2090*a*e-1970*b*e-2536*c*e+2052*d*e+4074*a*f-1849*b*f+1440*c*f-3972*d*f+4712*e*f+585*a*g+4418*b*g+4746*c*g+4705*d*g+1907*e*g-3174*f*g, a*b-4847*b*d-3419*c*d+1820*a*e-748*b*e+561*c*e-3643*d*e-1179*a*f+1071*b*f-3930*c*f+4515*d*f-2716*e*f+2675*a*g-2503*b*g-3672*c*g+371*d*g-3443*e*g-928*f*g, d^2*g+4362*a*e*g+1492*b*e*g+4054*c*e*g-3493*d*e*g-1417*e^2*g-4489*a*f*g+4508*b*f*g-3741*c*f*g-2344*d*f*g+187*e*f*g+1127*f^2*g-2982*a*g^2-1934*b*g^2-4660*c*g^2+1543*d*g^2-562*e*g^2-1659*f*g^2, c*d*g+4250*a*e*g-3496*b*e*g+2124*c*e*g-852*d*e*g+4736*e^2*g+2072*a*f*g-1916*b*f*g+355*c*f*g+4820*d*f*g-894*e*f*g-1928*f^2*g-939*a*g^2+3060*b*g^2+4435*c*g^2+41*d*g^2+1427*e*g^2+2718*f*g^2, b*d*g-422*a*e*g-3864*b*e*g-371*c*e*g-1802*d*e*g-3534*e^2*g-1913*a*f*g+2625*b*f*g-4058*c*f*g+3584*d*f*g+480*e*f*g+553*f^2*g-166*a*g^2-4260*b*g^2+3039*c*g^2-354*d*g^2+948*e*g^2-493*f*g^2, c^2*g+1369*a*e*g+4201*b*e*g-3764*c*e*g-3449*d*e*g-1425*e^2*g-2204*a*f*g+2761*b*f*g-1710*c*f*g-1482*d*f*g+3330*e*f*g-3552*f^2*g+296*a*g^2+4414*b*g^2-48*c*g^2+4794*d*g^2-4775*e*g^2+1243*f*g^2, b^2*g+1536*a*e*g-2779*b*e*g-2210*c*e*g+4361*d*e*g-1425*e^2*g+3784*a*f*g-1376*b*f*g-4501*c*f*g-998*d*f*g+953*e*f*g-1162*f^2*g-1584*a*g^2-3743*b*g^2-4678*c*g^2-1512*d*g^2+725*e*g^2+4601*f*g^2, a^2*g+2498*a*e*g-2281*b*e*g+3350*c*e*g+3055*d*e*g-4151*e^2*g+1222*a*f*g-213*b*f*g-793*c*f*g-2909*d*f*g-2183*e*f*g+2043*f^2*g-3448*a*g^2+1083*b*g^2+1561*c*g^2-1911*d*g^2-1434*e*g^2+4510*f*g^2, e*f^2+2641*a*e*g+3436*b*e*g+3901*c*e*g-4045*d*e*g-3855*e^2*g+4181*a*f*g+3784*b*f*g+2596*c*f*g-1453*d*f*g-2100*e*f*g+1445*f^2*g-2237*a*g^2+4975*b*g^2+1879*c*g^2+383*d*g^2-3759*e*g^2-1766*f*g^2, d*f^2+4782*a*e*g+4197*b*e*g+2587*c*e*g-672*d*e*g+691*e^2*g-3157*a*f*g+141*b*f*g+2734*c*f*g+2323*d*f*g+1978*e*f*g-4165*f^2*g+4734*a*g^2-4112*b*g^2+4553*c*g^2+3009*d*g^2+4311*e*g^2-3921*f*g^2, c*f^2+2878*a*e*g-2573*b*e*g-694*c*e*g+3643*d*e*g-2239*e^2*g-552*a*f*g-4477*b*f*g-3136*c*f*g+2053*d*f*g+3506*e*f*g+4755*f^2*g+1777*a*g^2-3316*b*g^2-1572*c*g^2-3754*d*g^2+2700*e*g^2+1000*f*g^2, b*f^2+990*a*e*g+1300*b*e*g-327*c*e*g+3147*d*e*g-69*e^2*g+4591*a*f*g-2453*b*f*g+4011*c*f*g-179*d*f*g+2127*e*f*g-194*f^2*g+3*a*g^2+318*b*g^2+1800*c*g^2+880*d*g^2-1618*e*g^2-4321*f*g^2, a*f^2-215*a*e*g+4232*b*e*g+1397*c*e*g+110*e^2*g-2578*a*f*g-3954*b*f*g+4579*c*f*g+2578*d*f*g+3764*e*f*g+1643*f^2*g-4598*a*g^2-3118*b*g^2+2070*c*g^2-3717*d*g^2-534*e*g^2-1660*f*g^2, e^2*f-952*a*e*g-1489*b*e*g+2393*c*e*g+160*d*e*g-974*e^2*g+4754*a*f*g+2444*b*f*g+1322*c*f*g-559*d*f*g-2449*e*f*g-4185*f^2*g+2235*a*g^2+2297*b*g^2+4131*c*g^2+4404*d*g^2+874*e*g^2-4400*f*g^2, d*e*f+1980*a*e*g-1466*b*e*g-993*c*e*g+1034*d*e*g-2408*e^2*g-2270*a*f*g-1935*b*f*g-1619*c*f*g+2967*d*f*g+1159*e*f*g+2717*f^2*g-2169*a*g^2-1306*b*g^2+3297*c*g^2-4518*d*g^2-3984*e*g^2-494*f*g^2, c*e*f+2230*a*e*g+3706*b*e*g-2441*c*e*g+2155*d*e*g-1647*e^2*g-3401*a*f*g-4346*b*f*g+4383*c*f*g+1542*d*f*g+4700*e*f*g-2679*f^2*g+4692*a*g^2-3797*b*g^2-802*c*g^2-2019*d*g^2+582*e*g^2-2859*f*g^2, b*e*f-953*a*e*g-3862*b*e*g+1514*c*e*g+4087*d*e*g+3526*e^2*g-4281*a*f*g+1775*b*f*g+2077*c*f*g+2108*d*f*g-1198*e*f*g-608*f^2*g+2914*a*g^2+2109*b*g^2-3010*c*g^2-2311*d*g^2+2181*e*g^2+3938*f*g^2, a*e*f+2212*a*e*g+3719*b*e*g+2571*c*e*g+1964*d*e*g-138*e^2*g+185*a*f*g-2794*b*f*g+1027*c*f*g-3959*d*f*g-4354*e*f*g+2741*f^2*g-653*a*g^2+911*b*g^2-2691*c*g^2-4784*d*g^2+2824*e*g^2+1218*f*g^2, d^2*f+2027*a*e*g-2027*b*e*g+1674*c*e*g-4689*d*e*g+4015*e^2*g-1074*a*f*g-2113*b*f*g+3948*c*f*g-421*d*f*g-4720*e*f*g-3979*f^2*g-2608*a*g^2+828*b*g^2+52*c*g^2-2477*d*g^2+3920*e*g^2-2364*f*g^2, c*d*f+2976*a*e*g+23*b*e*g-3676*c*e*g+4305*d*e*g+3407*e^2*g+156*a*f*g-722*b*f*g+3538*c*f*g-2212*d*f*g-597*e*f*g-1093*f^2*g-3356*a*g^2-3526*b*g^2-2396*c*g^2+309*d*g^2-1498*e*g^2+4361*f*g^2, b*d*f-3074*a*e*g+2723*b*e*g+1523*c*e*g+3604*d*e*g-624*e^2*g-3851*a*f*g-4587*b*f*g+4605*c*f*g+348*d*f*g+2303*e*f*g+3514*f^2*g-906*a*g^2-3444*b*g^2-2616*c*g^2-3428*d*g^2-833*e*g^2+4742*f*g^2, c^2*f-1791*a*e*g-4368*b*e*g+1112*c*e*g+4770*d*e*g-3246*e^2*g+4344*a*f*g-635*b*f*g+4251*c*f*g+1649*d*f*g-2095*e*f*g-1803*f^2*g-4414*a*g^2+848*b*g^2+4169*c*g^2+3879*d*g^2-4041*e*g^2-2630*f*g^2, b^2*f-933*a*e*g+4413*b*e*g+4101*c*e*g-1572*d*e*g+2361*e^2*g+2791*a*f*g+4299*b*f*g-2241*c*f*g+3076*d*f*g+3401*e*f*g-3410*f^2*g-3991*a*g^2+471*b*g^2+234*c*g^2+3809*d*g^2-281*e*g^2+3485*f*g^2, a^2*f+1690*a*e*g-1499*b*e*g+2935*c*e*g+2463*d*e*g-3094*e^2*g-1070*a*f*g+3982*b*f*g-259*c*f*g+2186*d*f*g-2110*e*f*g+2915*f^2*g-2453*a*g^2+1108*b*g^2-4806*c*g^2-3974*d*g^2+3958*e*g^2-1973*f*g^2, d*e^2+1357*a*e*g-4830*b*e*g+2209*c*e*g-1816*d*e*g+4311*e^2*g+419*a*f*g-977*b*f*g-4219*c*f*g-3268*d*f*g-291*e*f*g+1489*f^2*g+3138*a*g^2+2105*b*g^2-2349*c*g^2+608*d*g^2-808*e*g^2+2921*f*g^2, c*e^2+946*a*e*g+3669*b*e*g-664*c*e*g+3544*d*e*g+324*e^2*g-3942*a*f*g+677*b*f*g+1922*c*f*g+4066*d*f*g+3110*e*f*g+504*f^2*g-2395*a*g^2+2370*b*g^2+4101*c*g^2-966*d*g^2+190*e*g^2+2557*f*g^2, b*e^2-3875*a*e*g+2272*b*e*g+1818*c*e*g-1019*d*e*g-4902*e^2*g+1754*a*f*g-3024*b*f*g-4293*c*f*g-4025*d*f*g+1679*e*f*g-1780*f^2*g+2464*a*g^2-733*b*g^2-4870*c*g^2+2413*d*g^2+898*e*g^2-4792*f*g^2, a*e^2-622*a*e*g-1861*b*e*g-1870*c*e*g+4869*d*e*g+455*e^2*g+2615*a*f*g-2278*b*f*g+43*c*f*g-261*d*f*g-2962*e*f*g+1895*f^2*g+2216*a*g^2+3354*b*g^2+2895*c*g^2+4372*d*g^2-2237*e*g^2-617*f*g^2, d^2*e+2772*a*e*g-3974*b*e*g-1354*c*e*g+3023*d*e*g+3604*e^2*g-4645*a*f*g-4472*b*f*g+741*c*f*g+2923*d*f*g-2228*e*f*g+771*f^2*g+3040*a*g^2+4632*b*g^2+4666*c*g^2-2747*d*g^2-2628*e*g^2-4125*f*g^2, c*d*e+2887*a*e*g+4136*b*e*g+2513*c*e*g+4327*d*e*g+1922*e^2*g-3707*a*f*g-3176*b*f*g+156*c*f*g-13*d*f*g+3979*e*f*g+2284*f^2*g-849*a*g^2-1141*b*g^2-2628*c*g^2-4698*d*g^2-1651*e*g^2-4342*f*g^2, b*d*e-1292*a*e*g+35*b*e*g-3825*c*e*g+3167*d*e*g+2926*e^2*g+2593*a*f*g-1026*b*f*g-3593*c*f*g-3880*d*f*g+3860*e*f*g+1660*f^2*g-124*a*g^2+2872*b*g^2+2668*c*g^2+3300*d*g^2+4958*e*g^2-4293*f*g^2, c^2*e-1873*a*e*g+3841*b*e*g-3205*c*e*g+996*d*e*g-2727*e^2*g-280*a*f*g-1417*b*f*g+2254*c*f*g+168*d*f*g+3679*e*f*g-4502*f^2*g-4362*a*g^2-3157*b*g^2-1988*c*g^2-3754*d*g^2+4383*e*g^2+1936*f*g^2, b^2*e-1305*a*e*g+4375*b*e*g+100*c*e*g-971*d*e*g+3460*e^2*g+3161*a*f*g-920*b*f*g+2245*c*f*g+2681*d*f*g+1228*e*f*g-3128*f^2*g+2165*a*g^2-1154*b*g^2+2606*c*g^2-4469*d*g^2+4474*e*g^2-4542*f*g^2, a^2*e-2468*a*e*g-3663*b*e*g-3532*c*e*g-2208*d*e*g+286*e^2*g+3366*a*f*g-1329*b*f*g+2806*c*f*g+3861*d*f*g+2245*e*f*g-26*f^2*g+2175*a*g^2+302*b*g^2-1313*c*g^2-4480*d*g^2+3012*e*g^2+965*f*g^2, f^2*g^2-4028*a*g^3-2023*b*g^3+4878*c*g^3+3164*d*g^3+4126*e*g^3-4064*f*g^3+275*g^4, e*f*g^2+4214*a*g^3-3856*b*g^3-1224*c*g^3+1220*d*g^3+519*e*g^3-4148*f*g^3-4555*g^4, d*f*g^2+2823*a*g^3-1013*b*g^3-3608*c*g^3-1593*d*g^3+2484*e*g^3+2321*f*g^3+4866*g^4, c*f*g^2+1859*a*g^3-4340*b*g^3+2231*c*g^3-2092*d*g^3+751*e*g^3+1989*f*g^3-190*g^4, b*f*g^2-2108*a*g^3+3402*b*g^3-1539*c*g^3+322*d*g^3+4765*e*g^3-4378*f*g^3-4192*g^4, a*f*g^2-1954*a*g^3-612*b*g^3-3048*c*g^3+906*d*g^3+1991*e*g^3-592*f*g^3-2779*g^4, e^2*g^2+2626*a*g^3+4515*b*g^3+4406*c*g^3+4485*d*g^3-2134*e*g^3-819*f*g^3-1185*g^4, d*e*g^2-3279*a*g^3-503*b*g^3-2691*c*g^3+1474*d*g^3-3879*e*g^3-1763*f*g^3-1176*g^4, c*e*g^2-208*a*g^3-1981*b*g^3-1304*c*g^3-1155*d*g^3+1141*e*g^3-3712*f*g^3+2*g^4, b*e*g^2+3870*a*g^3-121*b*g^3+1801*c*g^3-1352*d*g^3-4187*e*g^3-1992*f*g^3+4255*g^4, a*e*g^2-3132*a*g^3+2699*b*g^3-1759*c*g^3-1745*d*g^3+2958*e*g^3+4988*f*g^3+4871*g^4, f^4+1430*a*g^3+3844*b*g^3+c*g^3+2752*d*g^3+564*e*g^3-1037*f*g^3-3145*g^4, e^4+4734*a*g^3+4289*b*g^3-2210*c*g^3+2777*d*g^3-3138*e*g^3+1585*f*g^3-2013*g^4, d^4-4767*a*g^3+656*b*g^3-3128*c*g^3+4559*d*g^3+2200*e*g^3-3826*f*g^3+1818*g^4, c^4-4602*a*g^3+4091*b*g^3-1950*c*g^3+2799*d*g^3+567*e*g^3-3226*f*g^3+1346*g^4, b^4+2793*a*g^3+2710*b*g^3+2284*c*g^3-4102*d*g^3-1953*e*g^3+2537*f*g^3-1652*g^4, a^4+2385*a*g^3-1869*b*g^3-3050*c*g^3-1748*d*g^3+327*e*g^3-3974*f*g^3-3650*g^4]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
print(betti(s, 1), "betti");
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
kill r;

// AGR2@10007n08d5
ring r = 10007, (a,b,c,d,e,f,g,h,i), dp;
ideal I =
  [h^3+2945*a^2*i-3863*a*b*i+248*b^2*i-806*a*c*i-1010*b*c*i-4730*c^2*i-4497*a*d*i-4530*b*d*i-1962*c*d*i-1797*d^2*i+3684*a*e*i-1071*b*e*i+395*c*e*i-3129*d*e*i-4308*e^2*i+1040*a*f*i-1775*b*f*i-2747*c*f*i+766*d*f*i-1542*e*f*i+943*f^2*i+41*a*g*i+820*b*g*i-4634*c*g*i+69*d*g*i+149*e*g*i-3357*f*g*i+1390*g^2*i-2671*a*h*i-3009*b*h*i+4628*c*h*i-3115*d*h*i-3336*e*h*i+937*f*h*i+1409*g*h*i+3340*h^2*i-755*a*i^2+3639*b*i^2+2086*c*i^2+3180*d*i^2-85*e*i^2-2365*f*i^2-2909*g*i^2+285*h*i^2+540*i^3, g*h^2+4599*a^2*i-2702*a*b*i-2720*b^2*i+1336*a*c*i-3791*b*c*i-4553*c^2*i+4321*a*d*i+3643*b*d*i-3706*c*d*i+3717*d^2*i-1967*a*e*i+2376*b*e*i+637*c*e*i+1097*d*e*i+3198*e^2*i-1398*a*f*i-3353*b*f*i-93*c*f*i+294*d*f*i+4701*e*f*i+4966*f^2*i-2272*a*g*i+1989*b*g*i+2852*c*g*i+3483*d*g*i-3594*e*g*i+1470*f*g*i+3766*g^2*i-1833*a*h*i+4731*b*h*i-2163*c*h*i+3929*d*h*i-1669*e*h*i-4739*f*h*i+3509*g*h*i-2510*h^2*i-263*a*i^2-2558*b*i^2+679*c*i^2-768*d*i^2-1804*e*i^2+4865*f*i^2-3317*g*i^2-1314*h*i^2+334*i^3, 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b^3+2818*a^2*i-4937*a*b*i+547*b^2*i+4716*a*c*i+1609*b*c*i-2940*c^2*i+2097*a*d*i+257*b*d*i-3986*c*d*i-992*d^2*i-4012*a*e*i-3889*b*e*i-1278*c*e*i+3516*d*e*i+1105*e^2*i+1781*a*f*i+3697*b*f*i-2291*c*f*i-3578*d*f*i+4959*e*f*i+4913*f^2*i+1558*a*g*i+726*b*g*i-4362*c*g*i-3600*d*g*i-2267*e*g*i-736*f*g*i-2830*g^2*i-617*a*h*i-1221*b*h*i-2035*c*h*i-2761*d*h*i-1507*e*h*i+1881*f*h*i+4014*g*h*i+2092*h^2*i+4229*a*i^2-3742*b*i^2-4666*c*i^2+3233*d*i^2+3731*e*i^2+741*f*i^2+4994*g*i^2+4920*h*i^2-830*i^3, a*b^2-3173*a^2*i+3041*a*b*i-2330*b^2*i+700*a*c*i+2641*b*c*i-4990*c^2*i-2792*a*d*i-4304*b*d*i-4267*c*d*i-1085*d^2*i-2642*a*e*i-411*b*e*i+1691*c*e*i-3228*d*e*i-1041*e^2*i+3101*a*f*i+3494*b*f*i-4234*c*f*i-4746*d*f*i-3805*e*f*i-4729*f^2*i+175*a*g*i+2071*b*g*i-1630*c*g*i-2915*d*g*i+2870*e*g*i+2425*f*g*i+2463*g^2*i+403*a*h*i+531*b*h*i+2452*c*h*i-2082*d*h*i+4329*e*h*i-4782*f*h*i+1142*g*h*i+3917*h^2*i-2984*a*i^2-1491*b*i^2+1890*c*i^2+4618*d*i^2+3301*e*i^2+3035*f*i^2+2664*g*i^2-2885*h*i^2-4344*i^3, a^2*b-4225*a^2*i+3034*a*b*i-1343*b^2*i-4542*a*c*i-2796*b*c*i+2749*c^2*i+627*a*d*i-3227*b*d*i-633*c*d*i+4361*d^2*i-4354*a*e*i+3403*b*e*i-2230*c*e*i-589*d*e*i-4267*e^2*i-3437*a*f*i-4175*b*f*i-4720*c*f*i+2271*d*f*i+2871*e*f*i+5000*f^2*i+1479*a*g*i+798*b*g*i+3177*c*g*i-1134*d*g*i-1643*e*g*i-4933*f*g*i+3832*g^2*i+596*a*h*i-1205*b*h*i+4784*c*h*i+987*d*h*i-3242*e*h*i+612*f*h*i-771*g*h*i+612*h^2*i-1566*a*i^2-12*b*i^2+2942*c*i^2+2153*d*i^2+4074*e*i^2-3520*f*i^2-3462*g*i^2-2038*h*i^2-758*i^3, a^3+3706*a^2*i+2340*a*b*i-501*b^2*i-4220*a*c*i+2909*b*c*i+816*c^2*i+2302*a*d*i+3514*b*d*i-94*c*d*i+226*d^2*i-1707*a*e*i+3496*b*e*i+766*c*e*i+2665*d*e*i+2089*e^2*i-3592*a*f*i+1414*b*f*i+224*c*f*i+425*d*f*i+1262*e*f*i-3486*f^2*i-3335*a*g*i+3581*b*g*i+1272*c*g*i+252*d*g*i-320*e*g*i+431*f*g*i+2715*g^2*i+2512*a*h*i+4384*b*h*i-2038*c*h*i+2880*d*h*i-3019*e*h*i+1594*f*h*i-4026*g*h*i-2690*h^2*i+2679*a*i^2-1516*b*i^2+1240*c*i^2+1093*d*i^2+460*e*i^2-311*f*i^2+333*g*i^2+4769*h*i^2+2407*i^3]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
kill r;

// CNC@32003g13%1
ring r = 32003, (t_0,t_1,t_2,t_3,t_4,t_5,t_6,t_7,t_8,t_9,t_10,t_11,t_12), dp;
ideal I =
  [t_9^2+13950*t_0*t_10+14522*t_1*t_10+165*t_2*t_10+12631*t_3*t_10-9894*t_4*t_10+9333*t_5*t_10+15287*t_6*t_10-7921*t_7*t_10+8960*t_8*t_10-14487*t_9*t_10+2628*t_10^2-7555*t_0*t_11+10181*t_1*t_11+8432*t_2*t_11+2092*t_3*t_11-835*t_4*t_11-14618*t_5*t_11-11372*t_6*t_11+4138*t_7*t_11-8256*t_8*t_11-5516*t_9*t_11-5253*t_10*t_11+4751*t_11^2-10346*t_0*t_12+10940*t_1*t_12+7802*t_2*t_12-8498*t_3*t_12-669*t_4*t_12-12710*t_5*t_12-13099*t_6*t_12-9260*t_7*t_12+2888*t_8*t_12+5253*t_9*t_12-4751*t_10*t_12, t_8*t_9-10620*t_0*t_10-13516*t_1*t_10-4914*t_2*t_10+8513*t_3*t_10-15027*t_4*t_10+4829*t_5*t_10+3925*t_6*t_10-6351*t_7*t_10-2233*t_8*t_10+9037*t_9*t_10+13552*t_10^2+9426*t_0*t_11+7448*t_1*t_11-14937*t_2*t_11-2980*t_3*t_11+13733*t_4*t_11-8915*t_5*t_11+7506*t_6*t_11+12363*t_7*t_11-4953*t_8*t_11+10702*t_9*t_11+9519*t_10*t_11+9910*t_11^2-2534*t_0*t_12+6424*t_1*t_12-13996*t_2*t_12+13441*t_3*t_12+4990*t_4*t_12-1156*t_5*t_12-10130*t_6*t_12-4084*t_7*t_12+7749*t_8*t_12-9519*t_9*t_12-9910*t_10*t_12, t_7*t_9-12387*t_0*t_10+14132*t_1*t_10+1304*t_2*t_10+14583*t_3*t_10-371*t_4*t_10+8108*t_5*t_10+14834*t_6*t_10-14340*t_7*t_10-3465*t_8*t_10+15341*t_9*t_10+15054*t_10^2+5206*t_0*t_11-94*t_1*t_11-14073*t_2*t_11-3862*t_3*t_11+2193*t_4*t_11+15198*t_5*t_11+5990*t_6*t_11+14240*t_7*t_11+171*t_8*t_11+4859*t_9*t_11+11846*t_10*t_11+4098*t_11^2-1210*t_0*t_12-510*t_1*t_12+4233*t_2*t_12-10301*t_3*t_12+1970*t_4*t_12+8350*t_5*t_12-10775*t_6*t_12-15512*t_7*t_12+12090*t_8*t_12-11846*t_9*t_12-4098*t_10*t_12, t_6*t_9+10207*t_0*t_10+1429*t_1*t_10+2858*t_2*t_10+2249*t_3*t_10-11687*t_4*t_10-10647*t_5*t_10-14018*t_6*t_10+13905*t_7*t_10+11842*t_8*t_10+5501*t_9*t_10+4685*t_10^2+10409*t_0*t_11+2836*t_1*t_11+15459*t_2*t_11-4773*t_3*t_11-14212*t_4*t_11+4705*t_5*t_11-622*t_6*t_11-5005*t_7*t_11-9109*t_8*t_11-15343*t_9*t_11+9519*t_10*t_11+13109*t_11^2-5694*t_0*t_12+14295*t_1*t_12-15543*t_2*t_12-7145*t_3*t_12+9313*t_4*t_12-13283*t_5*t_12-6837*t_6*t_12+3608*t_7*t_12+10658*t_8*t_12-9519*t_9*t_12-13109*t_10*t_12, t_5*t_9+12927*t_0*t_10-13114*t_1*t_10+6235*t_2*t_10-5645*t_3*t_10+9940*t_4*t_10+14681*t_5*t_10-7726*t_6*t_10-2594*t_7*t_10+14692*t_8*t_10-10071*t_9*t_10+12838*t_10^2-6645*t_0*t_11+1451*t_1*t_11-12476*t_2*t_11+10693*t_3*t_11-5745*t_4*t_11+9897*t_5*t_11+484*t_6*t_11+8902*t_7*t_11+1108*t_8*t_11+8647*t_9*t_11-2193*t_10*t_11-3221*t_11^2-7686*t_0*t_12-13882*t_1*t_12+11369*t_2*t_12-8936*t_3*t_12-2171*t_4*t_12+2110*t_5*t_12+8409*t_6*t_12+8963*t_7*t_12+10518*t_8*t_12+2193*t_9*t_12+3221*t_10*t_12, t_4*t_9+12996*t_0*t_10-14785*t_1*t_10+15320*t_2*t_10+8640*t_3*t_10-2067*t_4*t_10-12712*t_5*t_10-14247*t_6*t_10+6057*t_7*t_10-7612*t_8*t_10-472*t_9*t_10-5714*t_10^2+1560*t_0*t_11+14280*t_1*t_11+6710*t_2*t_11+13437*t_3*t_11-2764*t_4*t_11+13547*t_5*t_11+13222*t_6*t_11-12885*t_7*t_11+1883*t_8*t_11-2930*t_9*t_11-11077*t_10*t_11-15983*t_11^2+2403*t_0*t_12-15351*t_1*t_12-11370*t_2*t_12+15476*t_3*t_12+700*t_4*t_12+12724*t_5*t_12-11506*t_6*t_12-1411*t_7*t_12+8644*t_8*t_12+11077*t_9*t_12+15983*t_10*t_12, t_3*t_9-6123*t_0*t_10-14807*t_1*t_10+10631*t_2*t_10+7287*t_3*t_10+5644*t_4*t_10-12287*t_5*t_10+1595*t_6*t_10+4235*t_7*t_10-11170*t_8*t_10-3494*t_9*t_10+9130*t_10^2-13193*t_0*t_11-6144*t_1*t_11-14794*t_2*t_11-15937*t_3*t_11+12897*t_4*t_11-12381*t_5*t_11-13805*t_6*t_11-11873*t_7*t_11+13181*t_8*t_11-2682*t_9*t_11+2973*t_10*t_11-3124*t_11^2-4488*t_0*t_12+7507*t_1*t_12+10293*t_2*t_12-610*t_3*t_12+10786*t_4*t_12+9570*t_5*t_12-8960*t_6*t_12-9687*t_7*t_12-6448*t_8*t_12-2973*t_9*t_12+3124*t_10*t_12, t_2*t_9-8102*t_0*t_10+15139*t_1*t_10+3326*t_2*t_10+7764*t_3*t_10-11810*t_4*t_10+12850*t_5*t_10+1583*t_6*t_10+2602*t_7*t_10-2446*t_8*t_10-9272*t_9*t_10-11364*t_10^2+8540*t_0*t_11-11032*t_1*t_11+4686*t_2*t_11-11509*t_3*t_11+140*t_4*t_11+12235*t_5*t_11+4706*t_6*t_11-5470*t_7*t_11+15092*t_8*t_11+11473*t_9*t_11-10737*t_10*t_11-3658*t_11^2+7706*t_0*t_12-12450*t_1*t_12-8684*t_2*t_12-12990*t_3*t_12-13818*t_4*t_12-7308*t_5*t_12+7916*t_6*t_12-5820*t_7*t_12-109*t_8*t_12+10737*t_9*t_12+3658*t_10*t_12, t_1*t_9+3974*t_0*t_10+547*t_1*t_10+11384*t_2*t_10-14614*t_3*t_10-9561*t_4*t_10-6111*t_5*t_10+14179*t_6*t_10+9108*t_7*t_10+15886*t_8*t_10+567*t_9*t_10-741*t_10^2+13243*t_0*t_11-8140*t_1*t_11-13175*t_2*t_11+2948*t_3*t_11-8390*t_4*t_11-4779*t_5*t_11-5699*t_6*t_11-12144*t_7*t_11+15512*t_8*t_11-2181*t_9*t_11-8156*t_10*t_11+10567*t_11^2-3244*t_0*t_12-4214*t_1*t_12+6613*t_2*t_12+14501*t_3*t_12-9400*t_4*t_12-3409*t_5*t_12-3742*t_6*t_12+15924*t_7*t_12+2922*t_8*t_12+8156*t_9*t_12-10567*t_10*t_12, t_0*t_9-15433*t_0*t_10-11500*t_1*t_10+15284*t_2*t_10-7059*t_3*t_10-1887*t_4*t_10+12419*t_5*t_10-11588*t_6*t_10-7208*t_7*t_10-8381*t_8*t_10+3461*t_9*t_10+9926*t_10^2-3689*t_0*t_11+15939*t_1*t_11+9363*t_2*t_11+1412*t_3*t_11-11269*t_4*t_11-11533*t_5*t_11-14097*t_6*t_11+11650*t_7*t_11+11327*t_8*t_11-4693*t_9*t_11-5705*t_10*t_11+8936*t_11^2+780*t_0*t_12-2304*t_1*t_12+475*t_2*t_12-1150*t_3*t_12-8882*t_4*t_12-10698*t_5*t_12-3269*t_6*t_12-14788*t_7*t_12-5233*t_8*t_12+5705*t_9*t_12-8936*t_10*t_12, t_8^2-4868*t_0*t_10+6094*t_1*t_10-9424*t_2*t_10+6195*t_3*t_10+13963*t_4*t_10+14660*t_5*t_10+5625*t_6*t_10-7538*t_7*t_10+12346*t_8*t_10+5094*t_9*t_10+14430*t_10^2+9485*t_0*t_11-9338*t_1*t_11+10845*t_2*t_11+13511*t_3*t_11+13999*t_4*t_11+5274*t_5*t_11-10259*t_6*t_11+8762*t_7*t_11-15828*t_8*t_11+13727*t_9*t_11-12611*t_10*t_11-10207*t_11^2-13241*t_0*t_12+14963*t_1*t_12+4529*t_2*t_12+3344*t_3*t_12-10900*t_4*t_12-14206*t_5*t_12+10895*t_6*t_12+10734*t_7*t_12+3846*t_8*t_12+12611*t_9*t_12+10207*t_10*t_12, t_7*t_8+11420*t_0*t_10-11067*t_1*t_10+12063*t_2*t_10+3375*t_3*t_10-6809*t_4*t_10-2423*t_5*t_10-8067*t_6*t_10+13386*t_7*t_10+6452*t_8*t_10-4875*t_9*t_10+2569*t_10^2+13167*t_0*t_11-9202*t_1*t_11-585*t_2*t_11+10478*t_3*t_11+15502*t_4*t_11-14730*t_5*t_11-14677*t_6*t_11-3285*t_7*t_11-14691*t_8*t_11+15223*t_9*t_11-2282*t_10*t_11+9658*t_11^2-2861*t_0*t_12-2790*t_1*t_12-3669*t_2*t_12-13080*t_3*t_12-9206*t_4*t_12+1291*t_5*t_12-3167*t_6*t_12-12437*t_7*t_12+14211*t_8*t_12+2282*t_9*t_12-9658*t_10*t_12, 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t_4^2-7902*t_0*t_10+3183*t_1*t_10+9462*t_2*t_10-15064*t_3*t_10+13146*t_4*t_10-15042*t_5*t_10-8626*t_6*t_10+10753*t_7*t_10-15665*t_8*t_10-8877*t_9*t_10-6206*t_10^2+7939*t_0*t_11-7358*t_1*t_11-2885*t_2*t_11+15987*t_3*t_11-9391*t_4*t_11+3797*t_5*t_11+6790*t_6*t_11+2543*t_7*t_11+13974*t_8*t_11+1509*t_9*t_11-7463*t_10*t_11-5919*t_11^2-2104*t_0*t_12-14054*t_1*t_12+2870*t_2*t_12-7570*t_3*t_12+4829*t_4*t_12+14460*t_5*t_12+13122*t_6*t_12-5097*t_7*t_12+4697*t_8*t_12+7463*t_9*t_12+5919*t_10*t_12, t_3*t_4+7990*t_0*t_10+14241*t_1*t_10-11909*t_2*t_10+10226*t_3*t_10+2038*t_4*t_10+12322*t_5*t_10-7334*t_6*t_10+12781*t_7*t_10+15471*t_8*t_10-329*t_9*t_10+14734*t_10^2-6279*t_0*t_11-9305*t_1*t_11+15460*t_2*t_11-314*t_3*t_11-15241*t_4*t_11+5638*t_5*t_11-5956*t_6*t_11-8756*t_7*t_11-11920*t_8*t_11-12056*t_9*t_11-5306*t_10*t_11+5232*t_11^2-10789*t_0*t_12+6317*t_1*t_12-1724*t_2*t_12+2919*t_3*t_12+1696*t_4*t_12-6825*t_5*t_12-6715*t_6*t_12+12249*t_7*t_12-2678*t_8*t_12+5306*t_9*t_12-5232*t_10*t_12, t_2*t_4+11292*t_0*t_10+5262*t_1*t_10-8397*t_2*t_10-4464*t_3*t_10+5429*t_4*t_10-2920*t_5*t_10+2785*t_6*t_10+4206*t_7*t_10+5707*t_8*t_10-5139*t_9*t_10+7316*t_10^2-9563*t_0*t_11+3192*t_1*t_11-10821*t_2*t_11+15560*t_3*t_11-745*t_4*t_11+6623*t_5*t_11+9989*t_6*t_11+6797*t_7*t_11+13261*t_8*t_11+15959*t_9*t_11+15978*t_10*t_11+14850*t_11^2+5205*t_0*t_12+15285*t_1*t_12+11014*t_2*t_12+3665*t_3*t_12-9408*t_4*t_12-14195*t_5*t_12-12504*t_6*t_12-8122*t_7*t_12+8728*t_8*t_12-15978*t_9*t_12-14850*t_10*t_12, t_1*t_4+10125*t_0*t_10+11152*t_1*t_10-3909*t_2*t_10-4716*t_3*t_10-13560*t_4*t_10-10639*t_5*t_10+6730*t_6*t_10+27*t_7*t_10+13076*t_8*t_10+724*t_9*t_10+8001*t_10^2-6199*t_0*t_11+8333*t_1*t_11-7139*t_2*t_11+8168*t_3*t_11-8598*t_4*t_11-11110*t_5*t_11+4185*t_6*t_11-6701*t_7*t_11-9362*t_8*t_11-7870*t_9*t_11-1646*t_10*t_11-13369*t_11^2-4424*t_0*t_12+11855*t_1*t_12+5392*t_2*t_12-12766*t_3*t_12+4380*t_4*t_12-4212*t_5*t_12-6375*t_6*t_12+8638*t_7*t_12-131*t_8*t_12+1646*t_9*t_12+13369*t_10*t_12, t_0*t_4-14468*t_0*t_10+5045*t_1*t_10-8587*t_2*t_10-9505*t_3*t_10-11203*t_4*t_10+13491*t_5*t_10+4756*t_6*t_10+1612*t_7*t_10+7942*t_8*t_10+7446*t_9*t_10+7269*t_10^2+5617*t_0*t_11-5266*t_1*t_11+9710*t_2*t_11-15965*t_3*t_11-12656*t_4*t_11+1433*t_5*t_11-2739*t_6*t_11+11011*t_7*t_11-15675*t_8*t_11-7202*t_9*t_11+13206*t_10*t_11-6928*t_11^2+13853*t_0*t_12-205*t_1*t_12-4835*t_2*t_12-835*t_3*t_12-6189*t_4*t_12+1127*t_5*t_12+13050*t_6*t_12+8229*t_7*t_12-67*t_8*t_12-13206*t_9*t_12+6928*t_10*t_12, t_3^2+14105*t_0*t_10-1143*t_1*t_10+6887*t_2*t_10-12847*t_3*t_10-2357*t_4*t_10+11127*t_5*t_10+10730*t_6*t_10-13472*t_7*t_10-11682*t_8*t_10+15504*t_9*t_10-13879*t_10^2+6559*t_0*t_11-14455*t_1*t_11+13775*t_2*t_11+2607*t_3*t_11+5973*t_4*t_11-3718*t_5*t_11+9972*t_6*t_11-5248*t_7*t_11-5454*t_8*t_11+2243*t_9*t_11+12342*t_10*t_11-9044*t_11^2+7568*t_0*t_12-928*t_1*t_12-250*t_2*t_12+14903*t_3*t_12-7012*t_4*t_12+3500*t_5*t_12-15073*t_6*t_12-10050*t_7*t_12+11636*t_8*t_12-12342*t_9*t_12+9044*t_10*t_12, t_2*t_3-11273*t_0*t_10+3457*t_1*t_10-9897*t_2*t_10+4980*t_3*t_10-3583*t_4*t_10+6538*t_5*t_10+11248*t_6*t_10-6336*t_7*t_10+15181*t_8*t_10-7808*t_9*t_10-5096*t_10^2-5809*t_0*t_11-219*t_1*t_11-14311*t_2*t_11-14876*t_3*t_11-11172*t_4*t_11-8835*t_5*t_11-13309*t_6*t_11+3529*t_7*t_11-4692*t_8*t_11-11497*t_9*t_11-5517*t_10*t_11-7220*t_11^2+10116*t_0*t_12+9331*t_1*t_12-13544*t_2*t_12+4634*t_3*t_12-2413*t_4*t_12-12358*t_5*t_12+13293*t_6*t_12+12500*t_7*t_12-15410*t_8*t_12+5517*t_9*t_12+7220*t_10*t_12, t_1*t_3+4481*t_0*t_10+1024*t_1*t_10+3311*t_2*t_10-11394*t_3*t_10-6706*t_4*t_10-7605*t_5*t_10+7951*t_6*t_10-3607*t_7*t_10+9171*t_8*t_10-575*t_9*t_10-6454*t_10^2+9333*t_0*t_11+9901*t_1*t_11-11089*t_2*t_11-2555*t_3*t_11+8709*t_4*t_11+6429*t_5*t_11+3847*t_6*t_11+12593*t_7*t_11-7075*t_8*t_11-10829*t_9*t_11+9062*t_10*t_11-7428*t_11^2-13212*t_0*t_12-9520*t_1*t_12+9261*t_2*t_12-1104*t_3*t_12-14380*t_4*t_12-240*t_5*t_12+10239*t_6*t_12+7650*t_7*t_12-14720*t_8*t_12-9062*t_9*t_12+7428*t_10*t_12, t_0*t_3-13820*t_0*t_10+93*t_1*t_10-10907*t_2*t_10+10646*t_3*t_10-3178*t_4*t_10+740*t_5*t_10-9683*t_6*t_10-1282*t_7*t_10+5732*t_8*t_10+11914*t_9*t_10+9875*t_10^2-5512*t_0*t_11-13622*t_1*t_11+9187*t_2*t_11-13579*t_3*t_11+10735*t_4*t_11+1210*t_5*t_11-1389*t_6*t_11+5158*t_7*t_11+4244*t_8*t_11-165*t_9*t_11+6493*t_10*t_11-5190*t_11^2-7474*t_0*t_12+12170*t_1*t_12-15246*t_2*t_12-11475*t_3*t_12+8473*t_4*t_12+2671*t_5*t_12-10890*t_6*t_12+15845*t_7*t_12-9710*t_8*t_12-6493*t_9*t_12+5190*t_10*t_12, t_2^2-15008*t_0*t_10+11177*t_1*t_10+10332*t_2*t_10+10795*t_3*t_10-7086*t_4*t_10+9524*t_5*t_10-13068*t_6*t_10-6763*t_7*t_10-8425*t_8*t_10+13563*t_9*t_10-15349*t_10^2+3633*t_0*t_11+13418*t_1*t_11-15037*t_2*t_11+5127*t_3*t_11-4490*t_4*t_11+4579*t_5*t_11+2408*t_6*t_11+1100*t_7*t_11+8167*t_8*t_11+4924*t_9*t_11+7510*t_10*t_11-7665*t_11^2+8253*t_0*t_12+4242*t_1*t_12+1959*t_2*t_12-5034*t_3*t_12+8489*t_4*t_12+4355*t_5*t_12+7325*t_6*t_12+10273*t_7*t_12+10425*t_8*t_12-7510*t_9*t_12+7665*t_10*t_12, t_1*t_2+8257*t_0*t_10-10728*t_1*t_10+13807*t_2*t_10+14160*t_3*t_10-7342*t_4*t_10-7806*t_5*t_10+6771*t_6*t_10+2255*t_7*t_10-9648*t_8*t_10+2857*t_9*t_10+8369*t_10^2-9814*t_0*t_11-7088*t_1*t_11-7692*t_2*t_11-13450*t_3*t_11-13955*t_4*t_11-14847*t_5*t_11+4704*t_6*t_11+1968*t_7*t_11-3246*t_8*t_11-8805*t_9*t_11+612*t_10*t_11-8133*t_11^2-6719*t_0*t_12-6468*t_1*t_12-11211*t_2*t_12-10242*t_3*t_12+8076*t_4*t_12-6959*t_5*t_12+7680*t_6*t_12+389*t_7*t_12+436*t_8*t_12-612*t_9*t_12+8133*t_10*t_12, t_0*t_2-306*t_0*t_10-11733*t_1*t_10-14601*t_2*t_10-2930*t_3*t_10-630*t_4*t_10+393*t_5*t_10+6841*t_6*t_10-5417*t_7*t_10+647*t_8*t_10-10952*t_9*t_10-12592*t_10^2+7769*t_0*t_11+113*t_1*t_11-5774*t_2*t_11-8436*t_3*t_11-11269*t_4*t_11+13683*t_5*t_11+5375*t_6*t_11-14532*t_7*t_11-7421*t_8*t_11+285*t_9*t_11+9504*t_10*t_11+9513*t_11^2+14488*t_0*t_12+8704*t_1*t_12+9066*t_2*t_12+10876*t_3*t_12+11479*t_4*t_12+42*t_5*t_12+13885*t_6*t_12-13630*t_7*t_12+12307*t_8*t_12-9504*t_9*t_12-9513*t_10*t_12, t_1^2+13461*t_0*t_10+8528*t_1*t_10-14037*t_2*t_10+13670*t_3*t_10+339*t_4*t_10+15668*t_5*t_10+2264*t_6*t_10+7870*t_7*t_10+10677*t_8*t_10+578*t_9*t_10-2555*t_10^2-7065*t_0*t_11+5452*t_1*t_11+8466*t_2*t_11-5791*t_3*t_11-2644*t_4*t_11-3568*t_5*t_11+11891*t_6*t_11+631*t_7*t_11+4076*t_8*t_11+14791*t_9*t_11-5098*t_10*t_11-12765*t_11^2+8585*t_0*t_12+9867*t_1*t_12+5452*t_2*t_12-13024*t_3*t_12+1304*t_4*t_12+12242*t_5*t_12-11308*t_6*t_12-4654*t_7*t_12-12236*t_8*t_12+5098*t_9*t_12+12765*t_10*t_12, t_0*t_1-1441*t_0*t_10-4922*t_1*t_10+3888*t_2*t_10+14822*t_3*t_10-3357*t_4*t_10+6778*t_5*t_10-8880*t_6*t_10-13254*t_7*t_10-1527*t_8*t_10-12905*t_9*t_10+12346*t_10^2+12045*t_0*t_11-15126*t_1*t_11+2730*t_2*t_11+2972*t_3*t_11+11916*t_4*t_11-2916*t_5*t_11-9585*t_6*t_11-8785*t_7*t_11+7325*t_8*t_11-7252*t_9*t_11-13484*t_10*t_11+14357*t_11^2+11238*t_0*t_12+14451*t_1*t_12+385*t_2*t_12+13309*t_3*t_12+11796*t_4*t_12-9164*t_5*t_12+10312*t_6*t_12+5580*t_7*t_12-5094*t_8*t_12+13484*t_9*t_12-14357*t_10*t_12, t_0^2+2532*t_0*t_10+8701*t_1*t_10-918*t_2*t_10+9162*t_3*t_10+12516*t_4*t_10-2392*t_5*t_10+14436*t_6*t_10+5164*t_7*t_10-15428*t_8*t_10-12917*t_9*t_10+433*t_10^2-11644*t_0*t_11-13436*t_1*t_11+3461*t_2*t_11+2809*t_3*t_11-9418*t_4*t_11+5201*t_5*t_11-14020*t_6*t_11+3683*t_7*t_11-14834*t_8*t_11-12552*t_9*t_11-7410*t_10*t_11+3156*t_11^2+14354*t_0*t_12-12623*t_1*t_12-15325*t_2*t_12+11810*t_3*t_12+12366*t_4*t_12+8856*t_5*t_12+11745*t_6*t_12-4252*t_7*t_12+12119*t_8*t_12+7410*t_9*t_12-3156*t_10*t_12]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
kill r;

// PCNC@16183g14_2%1
ring r = 16183, (t_0,t_1,t_2,t_3,t_4,t_5,t_6,t_7,t_8,t_9,t_10,t_11,t_12), dp;
ideal I =
  [t_6*t_9+4738*t_7*t_9-1150*t_8*t_9-6021*t_9^2-2099*t_0*t_10-250*t_1*t_10-708*t_2*t_10-4870*t_3*t_10+1978*t_4*t_10-3869*t_5*t_10-4563*t_6*t_10+1710*t_7*t_10-5237*t_8*t_10+6689*t_9*t_10-2205*t_10^2+4452*t_0*t_11+981*t_1*t_11-7579*t_2*t_11-4460*t_3*t_11-1286*t_4*t_11-6578*t_5*t_11-1087*t_6*t_11+5192*t_7*t_11+5955*t_8*t_11+4918*t_9*t_11-5757*t_10*t_11+3331*t_11^2-273*t_0*t_12-3734*t_1*t_12+2482*t_2*t_12+5154*t_3*t_12+6403*t_4*t_12+527*t_5*t_12+6066*t_6*t_12+3539*t_7*t_12-2713*t_8*t_12+5757*t_9*t_12-3331*t_10*t_12, t_5*t_9+4468*t_7*t_9+3024*t_8*t_9+2551*t_9^2-821*t_0*t_10-6233*t_1*t_10+2169*t_2*t_10-7556*t_3*t_10+6599*t_4*t_10+6120*t_5*t_10+5930*t_6*t_10-4419*t_7*t_10+542*t_8*t_10+2512*t_9*t_10+5747*t_10^2+1054*t_0*t_11+6197*t_1*t_11+5846*t_2*t_11-4058*t_3*t_11-1092*t_4*t_11+746*t_5*t_11-4088*t_6*t_11-3922*t_7*t_11+4094*t_8*t_11+5196*t_9*t_11+4763*t_10*t_11+5738*t_11^2+7817*t_0*t_12+1710*t_1*t_12-2542*t_2*t_12-5028*t_3*t_12+5039*t_4*t_12+5483*t_5*t_12+829*t_6*t_12-6606*t_7*t_12+5240*t_8*t_12-4763*t_9*t_12-5738*t_10*t_12, t_4*t_9+7823*t_7*t_9-5207*t_8*t_9-1067*t_9^2-3677*t_0*t_10-4469*t_1*t_10-5156*t_2*t_10-780*t_3*t_10-208*t_4*t_10-998*t_5*t_10-3353*t_6*t_10-4096*t_7*t_10-7684*t_8*t_10+3303*t_9*t_10+6434*t_10^2-5085*t_0*t_11-931*t_1*t_11+925*t_2*t_11-7017*t_3*t_11+76*t_4*t_11+367*t_5*t_11-6105*t_6*t_11-5533*t_7*t_11+4589*t_8*t_11-2601*t_9*t_11+6019*t_10*t_11-1474*t_11^2+6087*t_0*t_12-146*t_1*t_12+7225*t_2*t_12+922*t_3*t_12-4837*t_4*t_12-775*t_5*t_12-1899*t_6*t_12-7892*t_7*t_12-3833*t_8*t_12-6019*t_9*t_12+1474*t_10*t_12, t_3*t_9-3966*t_7*t_9+4418*t_8*t_9+6461*t_9^2+2939*t_0*t_10+2248*t_1*t_10-2090*t_2*t_10+3645*t_3*t_10-5238*t_4*t_10+1843*t_5*t_10+3012*t_6*t_10+7698*t_7*t_10-6851*t_8*t_10-5724*t_9*t_10-2689*t_10^2+7280*t_0*t_11+3414*t_1*t_11+1983*t_2*t_11+1592*t_3*t_11+6648*t_4*t_11-1303*t_5*t_11+1517*t_6*t_11+1954*t_7*t_11+7239*t_8*t_11+6793*t_9*t_11-1664*t_10*t_11+4151*t_11^2-1325*t_0*t_12-5628*t_1*t_12+3646*t_2*t_12+7692*t_3*t_12+2257*t_4*t_12+2550*t_5*t_12-1564*t_6*t_12-1515*t_7*t_12-4104*t_8*t_12+1664*t_9*t_12-4151*t_10*t_12, t_2*t_9+189*t_7*t_9+847*t_8*t_9-7346*t_9^2+2592*t_0*t_10+2839*t_1*t_10-4271*t_2*t_10+1253*t_3*t_10-101*t_4*t_10-2393*t_5*t_10+7265*t_6*t_10+90*t_7*t_10-7830*t_8*t_10-7099*t_9*t_10+6095*t_10^2+531*t_0*t_11-3414*t_1*t_11-5058*t_2*t_11-7581*t_3*t_11+1917*t_4*t_11-4019*t_5*t_11+145*t_6*t_11+4317*t_7*t_11+7813*t_8*t_11-3343*t_9*t_11+5604*t_10*t_11-4859*t_11^2+7685*t_0*t_12+3805*t_1*t_12+7682*t_2*t_12+476*t_3*t_12-3435*t_4*t_12-1082*t_5*t_12-5324*t_6*t_12-714*t_7*t_12-2752*t_8*t_12-5604*t_9*t_12+4859*t_10*t_12, 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t_0*t_4+344*t_7*t_9-7103*t_8*t_9-1749*t_9^2-5703*t_0*t_10+1960*t_1*t_10+5716*t_2*t_10-455*t_3*t_10-3789*t_4*t_10+1366*t_5*t_10+1932*t_6*t_10+6627*t_7*t_10-2978*t_8*t_10-7114*t_9*t_10+3797*t_10^2+7410*t_0*t_11+577*t_1*t_11+2842*t_2*t_11+7373*t_3*t_11+5993*t_4*t_11-1768*t_5*t_11+4044*t_6*t_11+2182*t_7*t_11-3163*t_8*t_11+2992*t_9*t_11-607*t_10*t_11+575*t_11^2-6293*t_0*t_12-2387*t_1*t_12-3584*t_2*t_12-7359*t_3*t_12-508*t_4*t_12-3568*t_5*t_12+2545*t_6*t_12-5906*t_7*t_12-6789*t_8*t_12+607*t_9*t_12-575*t_10*t_12, t_3^2-3929*t_7*t_9+1976*t_8*t_9-1895*t_9^2-1152*t_0*t_10+4846*t_1*t_10+3357*t_2*t_10-3863*t_3*t_10-1905*t_4*t_10+6038*t_5*t_10+4915*t_6*t_10+6506*t_7*t_10-7034*t_8*t_10+3223*t_9*t_10+3162*t_10^2-2990*t_0*t_11-5353*t_1*t_11-2221*t_2*t_11-5743*t_3*t_11-5309*t_4*t_11+6677*t_5*t_11-2404*t_6*t_11-2409*t_7*t_11+6388*t_8*t_11+7779*t_9*t_11-1041*t_10*t_11-6532*t_11^2+1996*t_0*t_12+6084*t_1*t_12+7648*t_2*t_12-729*t_3*t_12-7663*t_4*t_12-6078*t_5*t_12-4845*t_6*t_12+6572*t_7*t_12+5242*t_8*t_12+1041*t_9*t_12+6532*t_10*t_12, t_2*t_3-4096*t_7*t_9-5927*t_8*t_9+7619*t_9^2-229*t_0*t_10+4114*t_1*t_10-2721*t_2*t_10-1043*t_3*t_10-3356*t_4*t_10+4863*t_5*t_10+1291*t_6*t_10-2283*t_7*t_10-5293*t_8*t_10-7986*t_9*t_10-860*t_10^2+3398*t_0*t_11-2948*t_1*t_11+3959*t_2*t_11-4998*t_3*t_11-3621*t_4*t_11+5383*t_5*t_11+4792*t_6*t_11+3178*t_7*t_11+889*t_8*t_11-3716*t_9*t_11+2403*t_10*t_11-1724*t_11^2+5669*t_0*t_12-2916*t_1*t_12-7829*t_2*t_12-1242*t_3*t_12-2578*t_4*t_12+3418*t_5*t_12-5504*t_6*t_12+7097*t_7*t_12+4576*t_8*t_12-2403*t_9*t_12+1724*t_10*t_12, t_1*t_3+295*t_7*t_9-323*t_8*t_9+4076*t_9^2+3516*t_0*t_10+5081*t_1*t_10-7275*t_2*t_10-1434*t_3*t_10-2890*t_4*t_10+5989*t_5*t_10-6757*t_6*t_10+3906*t_7*t_10+8082*t_8*t_10-2602*t_9*t_10-2837*t_10^2-1151*t_0*t_11-4400*t_1*t_11-1404*t_2*t_11-7191*t_3*t_11+938*t_4*t_11+893*t_5*t_11+6206*t_6*t_11+440*t_7*t_11-4464*t_8*t_11+620*t_9*t_11+545*t_10*t_11-7310*t_11^2-4508*t_0*t_12+2838*t_1*t_12-6102*t_2*t_12-6927*t_3*t_12+5569*t_4*t_12+6394*t_5*t_12+3585*t_6*t_12+7066*t_7*t_12+2217*t_8*t_12-545*t_9*t_12+7310*t_10*t_12, t_0*t_3+6446*t_7*t_9+134*t_8*t_9-6400*t_9^2-3878*t_0*t_10-4212*t_1*t_10-7613*t_2*t_10+5687*t_3*t_10-7597*t_4*t_10-5631*t_5*t_10+3982*t_6*t_10-1620*t_7*t_10-5094*t_8*t_10-1645*t_9*t_10-2555*t_10^2-1007*t_0*t_11-5138*t_1*t_11+5399*t_2*t_11-699*t_3*t_11+4709*t_4*t_11-2466*t_5*t_11-1580*t_6*t_11-4272*t_7*t_11+3211*t_8*t_11+2678*t_9*t_11-5628*t_10*t_11-6413*t_11^2-3432*t_0*t_12+5097*t_1*t_12-7887*t_2*t_12+922*t_3*t_12-7962*t_4*t_12+3066*t_5*t_12-417*t_6*t_12-1566*t_7*t_12-123*t_8*t_12+5628*t_9*t_12+6413*t_10*t_12, t_2^2-1581*t_7*t_9-5133*t_8*t_9+4761*t_9^2-7342*t_0*t_10+6319*t_1*t_10+7076*t_2*t_10-7071*t_3*t_10+8089*t_4*t_10-1706*t_5*t_10+9*t_6*t_10+2424*t_7*t_10-2627*t_8*t_10+4566*t_9*t_10+414*t_10^2+3665*t_0*t_11+7592*t_1*t_11-6888*t_2*t_11+3977*t_3*t_11+65*t_4*t_11+7240*t_5*t_11+6779*t_6*t_11-4261*t_7*t_11+2975*t_8*t_11-1102*t_9*t_11-191*t_10*t_11-3228*t_11^2+1515*t_0*t_12-2224*t_1*t_12+4117*t_2*t_12+1641*t_3*t_12-5668*t_4*t_12-4070*t_5*t_12+2127*t_6*t_12-7541*t_7*t_12+688*t_8*t_12+191*t_9*t_12+3228*t_10*t_12, t_1*t_2-4964*t_7*t_9+6973*t_8*t_9+73*t_9^2+5337*t_0*t_10-7164*t_1*t_10-3870*t_2*t_10+7392*t_3*t_10-2766*t_4*t_10-1323*t_5*t_10-8089*t_6*t_10-1648*t_7*t_10-337*t_8*t_10+1652*t_9*t_10-5035*t_10^2+3055*t_0*t_11-352*t_1*t_11+397*t_2*t_11-7417*t_3*t_11-4529*t_4*t_11+439*t_5*t_11+8004*t_6*t_11+7936*t_7*t_11-4673*t_8*t_11+4468*t_9*t_11-7992*t_10*t_11+6672*t_11^2+4222*t_0*t_12-7789*t_1*t_12-6000*t_2*t_12+5852*t_3*t_12-3569*t_4*t_12+2854*t_5*t_12-7672*t_6*t_12+3021*t_7*t_12+567*t_8*t_12+7992*t_9*t_12-6672*t_10*t_12, t_0*t_2-14*t_7*t_9+830*t_8*t_9+5230*t_9^2+7955*t_0*t_10+2579*t_1*t_10-1066*t_2*t_10+4418*t_3*t_10+6194*t_4*t_10-6584*t_5*t_10+7677*t_6*t_10-137*t_7*t_10-35*t_8*t_10-2085*t_9*t_10+958*t_10^2+1964*t_0*t_11-6863*t_1*t_11+4372*t_2*t_11+7465*t_3*t_11-2850*t_4*t_11-3350*t_5*t_11+5248*t_6*t_11-1729*t_7*t_11-6969*t_8*t_11-2795*t_9*t_11+2309*t_10*t_11+2935*t_11^2+7929*t_0*t_12+7393*t_1*t_12+2524*t_2*t_12-6749*t_3*t_12-4313*t_4*t_12-5941*t_5*t_12-3466*t_6*t_12-7129*t_7*t_12+1837*t_8*t_12-2309*t_9*t_12-2935*t_10*t_12, t_1^2+3503*t_7*t_9-5194*t_8*t_9+5682*t_9^2+2453*t_0*t_10+6770*t_1*t_10-1745*t_2*t_10+2295*t_3*t_10-1461*t_4*t_10-6876*t_5*t_10-6971*t_6*t_10-1113*t_7*t_10+5608*t_8*t_10-111*t_9*t_10-4266*t_10^2+7846*t_0*t_11+7591*t_1*t_11+6655*t_2*t_11+4356*t_3*t_11-1626*t_4*t_11+1583*t_5*t_11+2975*t_6*t_11-5412*t_7*t_11-4920*t_8*t_11+2801*t_9*t_11-461*t_10*t_11-5992*t_11^2-5846*t_0*t_12+7233*t_1*t_12-2895*t_2*t_12-7681*t_3*t_12+1885*t_4*t_12+3332*t_5*t_12-5878*t_6*t_12+5031*t_7*t_12+1465*t_8*t_12+461*t_9*t_12+5992*t_10*t_12, t_0*t_1-3093*t_7*t_9-586*t_8*t_9-5423*t_9^2+2649*t_0*t_10+4680*t_1*t_10+6019*t_2*t_10-6884*t_3*t_10-4596*t_4*t_10-3991*t_5*t_10-6651*t_6*t_10-2538*t_7*t_10+3241*t_8*t_10+5589*t_9*t_10+219*t_10^2-1418*t_0*t_11+5179*t_1*t_11+6914*t_2*t_11+8024*t_3*t_11-1395*t_4*t_11+1349*t_5*t_11-4277*t_6*t_11-885*t_7*t_11-3276*t_8*t_11+1063*t_9*t_11-5446*t_10*t_11+2732*t_11^2+4985*t_0*t_12-30*t_1*t_12-3428*t_2*t_12+5386*t_3*t_12-7788*t_4*t_12+7401*t_5*t_12+3067*t_6*t_12-2313*t_7*t_12-1282*t_8*t_12+5446*t_9*t_12-2732*t_10*t_12, t_0^2-6073*t_7*t_9-5788*t_8*t_9+5803*t_9^2-2131*t_0*t_10-1228*t_1*t_10-2804*t_2*t_10-2622*t_3*t_10+4654*t_4*t_10+7719*t_5*t_10+7804*t_6*t_10+1216*t_7*t_10-3795*t_8*t_10+7704*t_9*t_10+3298*t_10^2+5430*t_0*t_11-2180*t_1*t_11-664*t_2*t_11+6538*t_3*t_11-2619*t_4*t_11-4071*t_5*t_11-7238*t_6*t_11+4734*t_7*t_11+4682*t_8*t_11-4731*t_9*t_11+3801*t_10*t_11-656*t_11^2+4984*t_0*t_12+3286*t_1*t_12+4991*t_2*t_12-5100*t_3*t_12+2340*t_4*t_12-4373*t_5*t_12-6742*t_6*t_12+3797*t_7*t_12+1433*t_8*t_12-3801*t_9*t_12+656*t_10*t_12]
;
option(redSB);
option(redTail);
I = std(I);
I = resort(I);
attrib(I, "isSB", 1);
def s = fres(I, 0);
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "frame");
s;
print(betti(s, 0), "betti");
def s = fres(I, 0, "extended frame");
s;
print(betti(s, 0), "betti");
kill r;

tst_status(1);$