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);
}

// AGR2@10007n09d5
ring r = 10007, (a,b,c,d,e,f,g,h,i,j), dp;
ideal I = 
  [i^3-1564*a^2*j+4777*a*b*j+1689*b^2*j+3558*a*c*j-153*b*c*j-2220*c^2*j+4914*a*d*j-4868*b*d*j-2913*c*d*j-1334*d^2*j+4072*a*e*j+69*b*e*j-2701*c*e*j+3773*d*e*j-574*e^2*j-4413*a*f*j+1491*b*f*j-4626*c*f*j-2123*d*f*j+303*e*f*j+3147*f^2*j+1276*a*g*j+1812*b*g*j+4120*c*g*j-4795*d*g*j+934*e*g*j+1072*f*g*j+3527*g^2*j+3547*a*h*j-2371*b*h*j-1902*c*h*j+4864*d*h*j-1428*e*h*j-801*f*h*j+4787*g*h*j+4996*h^2*j-72*a*i*j+333*b*i*j+3900*c*i*j-4743*d*i*j+3328*e*i*j-1100*f*i*j-3058*g*i*j-1292*h*i*j-2096*i^2*j+4993*a*j^2+3831*b*j^2+888*c*j^2-557*d*j^2-4256*e*j^2+198*f*j^2-1576*g*j^2-2009*h*j^2+3843*i*j^2+2482*j^3, h*i^2-2494*a^2*j+2054*a*b*j+4076*b^2*j-2542*a*c*j-3461*b*c*j+1101*c^2*j+2651*a*d*j+199*b*d*j+985*c*d*j+1849*d^2*j-1546*a*e*j+1651*b*e*j+933*c*e*j+3021*d*e*j-805*e^2*j-3540*a*f*j-1731*b*f*j+2985*c*f*j-1018*d*f*j-1412*e*f*j-2889*f^2*j+3517*a*g*j-336*b*g*j-2331*c*g*j+144*d*g*j-3224*e*g*j+4781*f*g*j-1174*g^2*j+1477*a*h*j+2028*b*h*j+2755*c*h*j-717*d*h*j-4136*e*h*j-4870*f*h*j+3690*g*h*j+1748*h^2*j-2375*a*i*j+4513*b*i*j-1418*c*i*j+4832*d*i*j+74*e*i*j+743*f*i*j+4834*g*i*j+2898*h*i*j-4514*i^2*j-502*a*j^2+4670*b*j^2-2800*c*j^2-3874*d*j^2-4045*e*j^2-3913*f*j^2-2786*g*j^2+4105*h*j^2-3938*i*j^2+2870*j^3, g*i^2+2602*a^2*j+1704*a*b*j-3108*b^2*j+2375*a*c*j+971*b*c*j-806*c^2*j-3940*a*d*j-1850*b*d*j+2951*c*d*j+1662*d^2*j+367*a*e*j-4067*b*e*j-1672*c*e*j+4529*d*e*j+976*e^2*j+4329*a*f*j+2156*b*f*j+3855*c*f*j+1871*d*f*j-4405*e*f*j-2723*f^2*j-1022*a*g*j-4101*b*g*j-3660*c*g*j+4587*d*g*j-1419*e*g*j-2984*f*g*j-3381*g^2*j-3263*a*h*j-3326*b*h*j+2354*c*h*j+366*d*h*j-3889*e*h*j+4313*f*h*j-3983*g*h*j+3353*h^2*j+4635*a*i*j+4037*b*i*j+595*c*i*j+176*d*i*j+3249*e*i*j+334*f*i*j-3643*g*i*j+1935*h*i*j-2085*i^2*j-3747*a*j^2+4493*b*j^2+633*c*j^2+3145*d*j^2-2106*e*j^2+2637*f*j^2+251*g*j^2-79*h*j^2-4869*i*j^2-237*j^3, f*i^2+3738*a^2*j-2994*a*b*j-4876*b^2*j-673*a*c*j+1901*b*c*j+1667*c^2*j+236*a*d*j-3432*b*d*j+4099*c*d*j-4895*d^2*j+3501*a*e*j+3359*b*e*j-1416*c*e*j-3610*d*e*j+3474*e^2*j-4290*a*f*j-390*b*f*j+4600*c*f*j-3024*d*f*j-1953*e*f*j-3993*f^2*j-617*a*g*j+3786*b*g*j-1360*c*g*j-519*d*g*j+3181*e*g*j+4611*f*g*j+3845*g^2*j+933*a*h*j+3825*b*h*j-2265*c*h*j+4748*d*h*j+4181*e*h*j-1064*f*h*j+253*g*h*j-4074*h^2*j-857*a*i*j-3355*b*i*j-4751*c*i*j+2383*d*i*j+760*e*i*j+3040*f*i*j-1901*g*i*j-1091*h*i*j+2872*i^2*j-1567*a*j^2+2153*b*j^2-4721*c*j^2+3893*d*j^2-1728*e*j^2+4017*f*j^2-3105*g*j^2-1011*h*j^2+4561*i*j^2+3852*j^3, e*i^2+2975*a^2*j+251*a*b*j+849*b^2*j-986*a*c*j-32*b*c*j+304*c^2*j-1686*a*d*j-1350*b*d*j-1905*c*d*j+29*d^2*j-3088*a*e*j-2782*b*e*j-2489*c*e*j-36*d*e*j+4718*e^2*j-4457*a*f*j+4130*b*f*j-4884*c*f*j-1785*d*f*j+2855*e*f*j-1936*f^2*j+852*a*g*j+3990*b*g*j+3594*c*g*j-2092*d*g*j+1865*e*g*j-3952*f*g*j-2428*g^2*j-1858*a*h*j-1884*b*h*j-2209*c*h*j+2257*d*h*j-2394*e*h*j-3243*f*h*j-2728*g*h*j+2205*h^2*j+1727*a*i*j+3108*b*i*j+488*c*i*j-3063*d*i*j+4776*e*i*j-4425*f*i*j-4202*g*i*j-3888*h*i*j+3200*i^2*j+1401*a*j^2-1676*b*j^2+4268*c*j^2+3180*d*j^2+4387*e*j^2+641*f*j^2-1303*g*j^2-3006*h*j^2-3364*i*j^2+1877*j^3, d*i^2-1001*a^2*j-859*a*b*j-3584*b^2*j-3204*a*c*j+1909*b*c*j-1960*c^2*j-297*a*d*j+705*b*d*j+2439*c*d*j-992*d^2*j+3690*a*e*j-3804*b*e*j-2024*c*e*j-1669*d*e*j-4657*e^2*j+3954*a*f*j-3036*b*f*j+2320*c*f*j-692*d*f*j-2693*e*f*j-2910*f^2*j+1381*a*g*j+4976*b*g*j+3987*c*g*j-3903*d*g*j-2856*e*g*j+2986*f*g*j-1095*g^2*j-3505*a*h*j+4406*b*h*j+557*c*h*j+2459*d*h*j+409*e*h*j-2066*f*h*j-1051*g*h*j+818*h^2*j-3081*a*i*j-2560*b*i*j-2189*c*i*j-4561*d*i*j+457*e*i*j-3566*f*i*j-4873*g*i*j+1311*h*i*j+4780*i^2*j+3590*a*j^2+1303*b*j^2+4573*c*j^2+2470*d*j^2+3013*e*j^2-2905*f*j^2+3776*g*j^2+2525*h*j^2+3525*i*j^2-63*j^3, c*i^2+736*a^2*j-2763*a*b*j+644*b^2*j+2572*a*c*j+1040*b*c*j-4360*c^2*j+4279*a*d*j-4555*b*d*j-4332*c*d*j-579*d^2*j-4823*a*e*j+551*b*e*j+1071*c*e*j+94*d*e*j+1678*e^2*j-378*a*f*j+3810*b*f*j-4371*c*f*j-4363*d*f*j-1449*e*f*j-3014*f^2*j-2639*a*g*j+3379*b*g*j+3946*c*g*j-3397*d*g*j+1934*e*g*j+2580*f*g*j+891*g^2*j+1461*a*h*j+1571*b*h*j+2794*c*h*j-4421*d*h*j+3297*e*h*j+3785*f*h*j-3403*g*h*j-1796*h^2*j+4820*a*i*j-2097*b*i*j+3339*c*i*j-3602*d*i*j-2449*e*i*j-3567*f*i*j+799*g*i*j-4357*h*i*j+560*i^2*j-2713*a*j^2+2213*b*j^2-4221*c*j^2-3632*d*j^2-1758*e*j^2+3963*f*j^2-938*g*j^2+2139*h*j^2+3014*i*j^2-4813*j^3, b*i^2+2866*a^2*j-2963*a*b*j-4*b^2*j-4656*a*c*j+4484*b*c*j+763*c^2*j+4757*a*d*j+1630*b*d*j-1626*c*d*j+918*d^2*j-2664*a*e*j+2732*b*e*j-3810*c*e*j+2038*d*e*j-4296*e^2*j-3561*a*f*j-695*b*f*j-516*c*f*j+4432*d*f*j+3715*e*f*j-2031*f^2*j+1609*a*g*j-2711*b*g*j+1774*c*g*j-4094*d*g*j+3353*e*g*j-1167*f*g*j+719*g^2*j-751*a*h*j+2144*b*h*j+1629*c*h*j+3445*d*h*j+170*e*h*j+4424*f*h*j+3546*g*h*j-2165*h^2*j-3722*a*i*j+2449*b*i*j-876*c*i*j+551*d*i*j-1794*e*i*j+3321*f*i*j-114*g*i*j-701*h*i*j-1048*i^2*j-386*a*j^2-3452*b*j^2+1208*c*j^2-3753*d*j^2-3292*e*j^2+920*f*j^2-2554*g*j^2-4860*h*j^2+1571*i*j^2-1326*j^3, a*i^2+486*a^2*j+3204*a*b*j-4861*b^2*j-3027*a*c*j+3580*b*c*j+3996*c^2*j+883*a*d*j+4001*b*d*j-2233*c*d*j+2442*d^2*j-778*a*e*j-2895*b*e*j+1697*c*e*j-4847*d*e*j+821*e^2*j-3093*a*f*j-1618*b*f*j-4770*c*f*j+427*d*f*j+3602*e*f*j-3777*f^2*j+1829*a*g*j-976*b*g*j+4256*c*g*j+4933*d*g*j+2532*e*g*j+2445*f*g*j+4978*g^2*j-4973*a*h*j+4022*b*h*j+2526*c*h*j+341*d*h*j+2246*e*h*j+173*f*h*j-3432*g*h*j-2856*h^2*j+3114*a*i*j+3137*b*i*j-4688*c*i*j-3420*d*i*j-4666*e*i*j+2718*f*i*j+4708*g*i*j-4524*h*i*j+3858*i^2*j+4209*a*j^2+4237*b*j^2-3858*c*j^2+4765*d*j^2+2980*e*j^2+3983*f*j^2+496*g*j^2-2067*h*j^2-2138*i*j^2+2398*j^3, h^2*i+2188*a^2*j+2653*a*b*j+3773*b^2*j+3061*a*c*j-4231*b*c*j-3193*c^2*j-4068*a*d*j+945*b*d*j-1998*c*d*j-1255*d^2*j+3460*a*e*j-3699*b*e*j+2901*c*e*j+1030*d*e*j-3854*e^2*j+4403*a*f*j+3540*b*f*j-1097*c*f*j-39*d*f*j-3264*e*f*j+1327*f^2*j+2128*a*g*j-4913*b*g*j+2139*c*g*j+3432*d*g*j+2361*e*g*j-2276*f*g*j-1299*g^2*j-2537*a*h*j+3910*b*h*j-4911*c*h*j-3971*d*h*j+2142*e*h*j-835*f*h*j-4680*g*h*j-1316*h^2*j-2979*a*i*j-4128*b*i*j+3585*c*i*j+2625*d*i*j+891*e*i*j+4674*f*i*j-2147*g*i*j+1034*h*i*j-1270*i^2*j-4557*a*j^2-4455*b*j^2-230*c*j^2-2123*d*j^2+3221*e*j^2-3915*f*j^2+4*g*j^2+69*h*j^2-1001*i*j^2+1230*j^3, g*h*i-3016*a^2*j+4699*a*b*j+4070*b^2*j+341*a*c*j+2244*b*c*j-4120*c^2*j+3075*a*d*j+3686*b*d*j-1025*c*d*j+1542*d^2*j-1730*a*e*j+2653*b*e*j+310*c*e*j+1778*d*e*j+886*e^2*j+2663*a*f*j-3790*b*f*j-293*c*f*j+3395*d*f*j-3558*e*f*j+3674*f^2*j-920*a*g*j-2578*b*g*j+3631*c*g*j-2487*d*g*j+682*e*g*j+3671*f*g*j-4855*g^2*j+1797*a*h*j-1736*b*h*j-3621*c*h*j+1722*d*h*j+1476*e*h*j-1951*f*h*j-1408*g*h*j-3904*h^2*j+3915*a*i*j+2553*b*i*j-2532*c*i*j+3877*d*i*j-1162*e*i*j-1809*f*i*j+4096*g*i*j+2318*h*i*j-3248*i^2*j-1588*a*j^2+3064*b*j^2+3167*c*j^2-1464*d*j^2+256*e*j^2-652*f*j^2+3260*g*j^2-3439*h*j^2+2916*i*j^2+3500*j^3, f*h*i+3957*a^2*j-4497*a*b*j+2697*b^2*j-708*a*c*j+4782*b*c*j+4289*c^2*j+1896*a*d*j+4506*b*d*j+2322*c*d*j-3081*d^2*j+2845*a*e*j+960*b*e*j-1443*c*e*j-2503*d*e*j+3717*e^2*j+2022*a*f*j+4928*b*f*j+2292*c*f*j-3802*d*f*j-4101*e*f*j-3264*f^2*j+4616*a*g*j+2257*b*g*j-52*c*g*j-2100*d*g*j+2151*e*g*j+4800*f*g*j+4268*g^2*j-997*a*h*j-3084*b*h*j-2933*c*h*j+3423*d*h*j-1490*e*h*j-3273*f*h*j-4610*g*h*j-654*h^2*j-4034*a*i*j-3095*b*i*j+655*c*i*j+3073*d*i*j+1062*e*i*j-965*f*i*j+3017*g*i*j+3248*h*i*j+3899*i^2*j+4875*a*j^2-4123*b*j^2-1330*c*j^2-227*d*j^2+1478*e*j^2+1077*f*j^2-586*g*j^2-516*h*j^2-871*i*j^2-2689*j^3, e*h*i-1041*a^2*j-2846*a*b*j+457*b^2*j+2449*a*c*j-4753*b*c*j-1729*c^2*j-1489*a*d*j+3563*b*d*j+1696*c*d*j+2349*d^2*j+1246*a*e*j-3643*b*e*j+1290*c*e*j-3711*d*e*j+767*e^2*j+4937*a*f*j-3748*b*f*j+3192*c*f*j-410*d*f*j-1209*e*f*j+3588*f^2*j+3790*a*g*j+2081*b*g*j+3158*c*g*j+335*d*g*j-2725*e*g*j+4861*f*g*j-2144*g^2*j-4303*a*h*j-1506*b*h*j-4961*c*h*j+2820*d*h*j+512*e*h*j+2792*f*h*j-2755*g*h*j+322*h^2*j+2597*a*i*j+1331*b*i*j-840*c*i*j-2331*d*i*j-3595*e*i*j-2248*f*i*j+812*g*i*j-2294*h*i*j-1105*i^2*j-804*a*j^2-2770*b*j^2-2043*c*j^2+3633*d*j^2+3171*e*j^2+463*f*j^2-4852*g*j^2-4490*h*j^2+2516*i*j^2+1064*j^3, d*h*i+2533*a^2*j-1505*a*b*j-457*b^2*j+3713*a*c*j+3755*b*c*j+2498*c^2*j-2023*a*d*j-281*b*d*j+187*c*d*j+4062*d^2*j-3377*a*e*j+4857*b*e*j-97*c*e*j+2845*d*e*j-4184*e^2*j+2422*a*f*j+4677*b*f*j-790*c*f*j-4789*d*f*j+2006*e*f*j+1534*f^2*j+2274*a*g*j+4444*b*g*j+3321*c*g*j+2496*d*g*j+877*e*g*j-1175*f*g*j-338*g^2*j-3994*a*h*j-1974*b*h*j+3149*c*h*j-768*d*h*j-4661*e*h*j+759*f*h*j-1200*g*h*j-2543*h^2*j+1722*a*i*j-2024*b*i*j+4255*c*i*j+3399*d*i*j+4850*e*i*j+2796*f*i*j-3110*g*i*j+2444*h*i*j+1942*i^2*j-3551*a*j^2+4809*b*j^2+4287*c*j^2+2902*d*j^2+4011*e*j^2+4354*f*j^2-2794*g*j^2+4286*h*j^2+4752*i*j^2-2425*j^3, 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b*c^2+2636*a^2*j+1826*a*b*j-340*b^2*j-3132*a*c*j-3696*b*c*j+3618*c^2*j+1632*a*d*j-4726*b*d*j+4773*c*d*j-3420*d^2*j-4830*a*e*j+3439*b*e*j+340*c*e*j-1839*d*e*j-355*e^2*j+1747*a*f*j+4381*b*f*j-2720*c*f*j+3039*d*f*j-3069*e*f*j+1552*f^2*j-2474*a*g*j-967*b*g*j-797*c*g*j+4075*d*g*j-2360*e*g*j-4231*f*g*j-4532*g^2*j-2084*a*h*j-3406*b*h*j+2176*c*h*j-1930*d*h*j-1634*e*h*j+3619*f*h*j-3061*g*h*j-1598*h^2*j+2560*a*i*j+4031*b*i*j-723*c*i*j-1712*d*i*j+1967*e*i*j+3553*f*i*j-4814*g*i*j+1651*h*i*j-4057*i^2*j+2328*a*j^2-362*b*j^2-4877*c*j^2+1283*d*j^2-3411*e*j^2+3773*f*j^2+4067*g*j^2-216*h*j^2+2616*i*j^2-624*j^3, 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b^2*c+4960*a^2*j+495*a*b*j+4552*b^2*j+3962*a*c*j-2429*b*c*j+669*c^2*j-4616*a*d*j+2980*b*d*j+4409*c*d*j-1790*d^2*j-4441*a*e*j-866*b*e*j-940*c*e*j-2428*d*e*j-2667*e^2*j+302*a*f*j+14*b*f*j-3103*c*f*j+4733*d*f*j+947*e*f*j+2616*f^2*j-2247*a*g*j+2302*b*g*j-1940*c*g*j+1019*d*g*j-4634*e*g*j+844*f*g*j+392*g^2*j+1416*a*h*j-4145*b*h*j+4568*c*h*j+2262*d*h*j+3459*e*h*j-2162*f*h*j-2033*g*h*j-1134*h^2*j+3283*a*i*j+3848*b*i*j-3673*c*i*j+2046*d*i*j-3654*e*i*j-115*f*i*j+2668*g*i*j-521*h*i*j-3642*i^2*j+4678*a*j^2-2890*b*j^2-4108*c*j^2-1937*d*j^2-490*e*j^2+3665*f*j^2-1019*g*j^2+1629*h*j^2-180*i*j^2+3720*j^3, a*b*c+1930*a^2*j-655*a*b*j+4743*b^2*j+2056*a*c*j+1353*b*c*j-4713*c^2*j-2241*a*d*j-2090*b*d*j-271*c*d*j-1030*d^2*j-387*a*e*j-2849*b*e*j+4729*c*e*j+4412*d*e*j+333*e^2*j-40*a*f*j+3052*b*f*j+1996*c*f*j-3961*d*f*j-3305*e*f*j-3160*f^2*j+3771*a*g*j+4207*b*g*j-923*c*g*j-2687*d*g*j+4833*e*g*j+2925*f*g*j-421*g^2*j+896*a*h*j-3286*b*h*j-4851*c*h*j-4479*d*h*j-4645*e*h*j-115*f*h*j-3056*g*h*j-3959*h^2*j+2708*a*i*j-1232*b*i*j-3538*c*i*j+2234*d*i*j+3069*e*i*j+2548*f*i*j+90*g*i*j+70*h*i*j+847*i^2*j+1860*a*j^2-3161*b*j^2+2485*c*j^2+2948*d*j^2-683*e*j^2-4322*f*j^2+898*g*j^2+4932*h*j^2+3398*i*j^2+2045*j^3, a^2*c-4047*a^2*j-2620*a*b*j+529*b^2*j+2677*a*c*j+4262*b*c*j+1671*c^2*j-2327*a*d*j-582*b*d*j+3358*c*d*j+1085*d^2*j-2468*a*e*j-1291*b*e*j-4706*c*e*j-2977*d*e*j-3322*e^2*j-1360*a*f*j+2959*b*f*j+371*c*f*j-3159*d*f*j+197*e*f*j-3033*f^2*j+2907*a*g*j+3588*b*g*j-2059*c*g*j+2365*d*g*j+975*e*g*j-1239*f*g*j+1088*g^2*j-1000*a*h*j+562*b*h*j-2801*c*h*j-4566*d*h*j-2429*e*h*j+2340*f*h*j+3590*g*h*j+4005*h^2*j-3884*a*i*j-2573*b*i*j+1782*c*i*j-4434*d*i*j+3319*e*i*j-2276*f*i*j-2400*g*i*j+1073*h*i*j+2666*i^2*j+870*a*j^2-3623*b*j^2-4289*c*j^2+887*d*j^2+1111*e*j^2-2284*f*j^2+3589*g*j^2-642*h*j^2-684*i*j^2+419*j^3, b^3-4205*a^2*j-4901*a*b*j-2380*b^2*j-3432*a*c*j-2351*b*c*j-2593*c^2*j-176*a*d*j+49*b*d*j+539*c*d*j+1806*d^2*j-1501*a*e*j+4828*b*e*j-4850*c*e*j+968*d*e*j-2529*e^2*j-929*a*f*j+877*b*f*j-1863*c*f*j+3321*d*f*j+4761*e*f*j+1869*f^2*j-3688*a*g*j+4616*b*g*j+4426*c*g*j+1783*d*g*j-1489*e*g*j+1047*f*g*j-318*g^2*j-1172*a*h*j+1871*b*h*j-2567*c*h*j+4325*d*h*j+1779*e*h*j-3173*f*h*j-3115*g*h*j+3099*h^2*j+1354*a*i*j+2597*b*i*j-2558*c*i*j+3847*d*i*j+4267*e*i*j-3318*f*i*j+1607*g*i*j+913*h*i*j-1962*i^2*j-249*a*j^2+4416*b*j^2-2168*c*j^2-4508*d*j^2-3826*e*j^2+3240*f*j^2+825*g*j^2+1723*h*j^2-2584*i*j^2+3381*j^3, a*b^2-4010*a^2*j-4659*a*b*j-1379*b^2*j-2826*a*c*j-3437*b*c*j-1763*c^2*j-4945*a*d*j+1139*b*d*j-1542*c*d*j+1143*d^2*j+1242*a*e*j-3006*b*e*j-4583*c*e*j-3434*d*e*j-2162*e^2*j+3294*a*f*j-12*b*f*j-1046*c*f*j+4483*d*f*j-3436*e*f*j-4406*f^2*j+2061*a*g*j+1812*b*g*j+907*c*g*j+2580*d*g*j-1253*e*g*j-1232*f*g*j-3997*g^2*j-1924*a*h*j+2318*b*h*j-4291*c*h*j+1225*d*h*j-1019*e*h*j+4104*f*h*j-2361*g*h*j-4773*h^2*j+2012*a*i*j+1875*b*i*j-2096*c*i*j-587*d*i*j+801*e*i*j-57*f*i*j-1087*g*i*j+4042*h*i*j-3336*i^2*j-474*a*j^2+1783*b*j^2-3917*c*j^2-1118*d*j^2-4518*e*j^2+3291*f*j^2-2632*g*j^2+1978*h*j^2-3374*i*j^2+2381*j^3, a^2*b+4576*a^2*j-2780*a*b*j-2494*b^2*j+2129*a*c*j-4828*b*c*j+752*c^2*j+1179*a*d*j-887*b*d*j+4699*c*d*j-2404*d^2*j-289*a*e*j+2591*b*e*j+3938*c*e*j+3074*d*e*j+357*e^2*j-2921*a*f*j+3023*b*f*j-3739*c*f*j-1919*d*f*j+1866*e*f*j-628*f^2*j+1302*a*g*j-4778*b*g*j+4881*c*g*j-2541*d*g*j+4774*e*g*j+2059*f*g*j-3244*g^2*j+2109*a*h*j+536*b*h*j-4566*c*h*j+4421*d*h*j+3037*e*h*j-3674*f*h*j+1853*g*h*j+3602*h^2*j+4253*a*i*j-2280*b*i*j-3918*c*i*j-2231*d*i*j+2439*e*i*j+692*f*i*j-385*g*i*j-4726*h*i*j+4038*i^2*j+4*a*j^2+2660*b*j^2+2814*c*j^2-240*d*j^2+4836*e*j^2+3943*f*j^2+4607*g*j^2-4800*h*j^2-4273*i*j^2-2093*j^3, a^3+3717*a^2*j-208*a*b*j+1663*b^2*j+3431*a*c*j-1429*b*c*j+52*c^2*j+689*a*d*j+3281*b*d*j+1719*c*d*j+2454*d^2*j+1763*a*e*j-4287*b*e*j-1940*c*e*j+4640*d*e*j+1477*e^2*j-4400*a*f*j-1527*b*f*j-4163*c*f*j-794*d*f*j-4935*e*f*j+829*f^2*j-2674*a*g*j+1592*b*g*j+478*c*g*j-177*d*g*j+4985*e*g*j+4095*f*g*j+3422*g^2*j+2102*a*h*j+1141*b*h*j+4119*c*h*j-3021*d*h*j+1372*e*h*j-6*f*h*j+1954*g*h*j+3675*h^2*j-3822*a*i*j+3866*b*i*j+2342*c*i*j-4491*d*i*j+1942*e*i*j+2571*f*i*j-3747*g*i*j-1059*h*i*j+2187*i^2*j+2978*a*j^2+4719*b*j^2+4745*c*j^2+3282*d*j^2+1207*e*j^2-1361*f*j^2+763*g*j^2-4861*h*j^2-2630*i*j^2+3805*j^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@32003g14%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,t_13), dp;
ideal I = 
  [t_10^2+2652*t_0*t_11-6555*t_1*t_11+10309*t_2*t_11-13575*t_3*t_11-9153*t_4*t_11+8721*t_5*t_11-11676*t_6*t_11-15242*t_7*t_11-7792*t_8*t_11-2459*t_9*t_11+12327*t_10*t_11-8487*t_11^2+12310*t_0*t_12+15808*t_1*t_12-2153*t_2*t_12-3423*t_3*t_12-12591*t_4*t_12-6341*t_5*t_12-12789*t_6*t_12-9762*t_7*t_12+9138*t_8*t_12+5058*t_9*t_12-7003*t_10*t_12-3746*t_11*t_12-2842*t_12^2+5886*t_0*t_13+15728*t_1*t_13+12576*t_2*t_13+3870*t_3*t_13-13986*t_4*t_13-3972*t_5*t_13-14449*t_6*t_13-6680*t_7*t_13+14618*t_8*t_13+15490*t_9*t_13+3746*t_10*t_13+2842*t_11*t_13, t_9*t_10+6661*t_0*t_11+3543*t_1*t_11+7900*t_2*t_11+615*t_3*t_11-11883*t_4*t_11-7057*t_5*t_11-2572*t_6*t_11-2352*t_7*t_11+2400*t_8*t_11+14478*t_9*t_11+3634*t_10*t_11-3396*t_11^2+12932*t_0*t_12+2137*t_1*t_12+6710*t_2*t_12-8634*t_3*t_12-13636*t_4*t_12-5254*t_5*t_12+10266*t_6*t_12-12601*t_7*t_12-14761*t_8*t_12-8022*t_9*t_12-1832*t_10*t_12-14080*t_11*t_12-7974*t_12^2-10037*t_0*t_13-7325*t_1*t_13-11486*t_2*t_13-11310*t_3*t_13+7826*t_4*t_13-7914*t_5*t_13+10200*t_6*t_13+283*t_7*t_13+4388*t_8*t_13+5228*t_9*t_13+14080*t_10*t_13+7974*t_11*t_13, t_8*t_10-10427*t_0*t_11-4019*t_1*t_11-7082*t_2*t_11+15516*t_3*t_11-548*t_4*t_11-11383*t_5*t_11+637*t_6*t_11-11389*t_7*t_11-1103*t_8*t_11-11294*t_9*t_11+3382*t_10*t_11-14179*t_11^2+15908*t_0*t_12+14284*t_1*t_12-8242*t_2*t_12+11123*t_3*t_12-490*t_4*t_12+9869*t_5*t_12+6883*t_6*t_12+3565*t_7*t_12+14486*t_8*t_12-6972*t_9*t_12-15394*t_10*t_12+2395*t_11*t_12+2747*t_12^2-7202*t_0*t_13-7274*t_1*t_13-10575*t_2*t_13+11873*t_3*t_13-10506*t_4*t_13+4505*t_5*t_13-2462*t_6*t_13-3192*t_7*t_13+3590*t_8*t_13-2430*t_9*t_13-2395*t_10*t_13-2747*t_11*t_13, t_7*t_10+10227*t_0*t_11-12468*t_1*t_11+12439*t_2*t_11-5965*t_3*t_11-3531*t_4*t_11-7334*t_5*t_11-2530*t_6*t_11+14716*t_7*t_11+4626*t_8*t_11-13195*t_9*t_11-258*t_10*t_11+388*t_11^2-6552*t_0*t_12-9255*t_1*t_12+6169*t_2*t_12+12603*t_3*t_12-11097*t_4*t_12+5403*t_5*t_12-6031*t_6*t_12-11056*t_7*t_12-5696*t_8*t_12+6594*t_9*t_12-8145*t_10*t_12+14767*t_11*t_12-15728*t_12^2-3184*t_0*t_13-204*t_1*t_13-9072*t_2*t_13-13572*t_3*t_13-2874*t_4*t_13-8685*t_5*t_13+6430*t_6*t_13-13112*t_7*t_13-6336*t_8*t_13+7757*t_9*t_13-14767*t_10*t_13+15728*t_11*t_13, 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t_3^2-14817*t_0*t_11+685*t_1*t_11+1277*t_2*t_11-6027*t_3*t_11+1559*t_4*t_11-9865*t_5*t_11-6928*t_6*t_11-9944*t_7*t_11-13016*t_8*t_11+5758*t_9*t_11+13890*t_10*t_11+11821*t_11^2-15800*t_0*t_12+4499*t_1*t_12+12926*t_2*t_12-5027*t_3*t_12+847*t_4*t_12-2963*t_5*t_12-7761*t_6*t_12-2201*t_7*t_12+1226*t_8*t_12-14680*t_9*t_12-15677*t_10*t_12+12665*t_11*t_12+9268*t_12^2-5776*t_0*t_13-6899*t_1*t_13+3468*t_2*t_13+9018*t_3*t_13+9891*t_4*t_13-14298*t_5*t_13+15217*t_6*t_13-6984*t_7*t_13+790*t_8*t_13+3856*t_9*t_13-12665*t_10*t_13-9268*t_11*t_13, t_2*t_3+10592*t_0*t_11-9254*t_1*t_11-13880*t_2*t_11-15757*t_3*t_11-14079*t_4*t_11-5805*t_5*t_11+5234*t_6*t_11-5483*t_7*t_11+1848*t_8*t_11-11683*t_9*t_11+2392*t_10*t_11+5018*t_11^2+5907*t_0*t_12+2604*t_1*t_12+13077*t_2*t_12+10348*t_3*t_12-11366*t_4*t_12-15211*t_5*t_12-7349*t_6*t_12-1985*t_7*t_12+1613*t_8*t_12+10672*t_9*t_12-5829*t_10*t_12+10819*t_11*t_12+6938*t_12^2+11276*t_0*t_13+2680*t_1*t_13+3731*t_2*t_13-14832*t_3*t_13+9977*t_4*t_13+12832*t_5*t_13+137*t_6*t_13+10070*t_7*t_13-13064*t_8*t_13+811*t_9*t_13-10819*t_10*t_13-6938*t_11*t_13, t_1*t_3-1914*t_0*t_11-9589*t_1*t_11-9108*t_2*t_11-14918*t_3*t_11-7316*t_4*t_11+11026*t_5*t_11-4685*t_6*t_11+3768*t_7*t_11+9852*t_8*t_11-378*t_9*t_11-3459*t_10*t_11+14257*t_11^2+15780*t_0*t_12-7986*t_1*t_12-3041*t_2*t_12-8352*t_3*t_12+4036*t_4*t_12+4169*t_5*t_12-3675*t_6*t_12+11427*t_7*t_12+2324*t_8*t_12+13534*t_9*t_12+14473*t_10*t_12-1593*t_11*t_12-8553*t_12^2-14909*t_0*t_13-14044*t_1*t_13+15668*t_2*t_13-15062*t_3*t_13+516*t_4*t_13-93*t_5*t_13+10724*t_6*t_13-1946*t_7*t_13-10075*t_8*t_13+3273*t_9*t_13+1593*t_10*t_13+8553*t_11*t_13, t_0*t_3+9300*t_0*t_11-10442*t_1*t_11-11934*t_2*t_11+4778*t_3*t_11-1769*t_4*t_11-1713*t_5*t_11+12675*t_6*t_11+11192*t_7*t_11+4318*t_8*t_11-4785*t_9*t_11-1422*t_10*t_11-12989*t_11^2+11931*t_0*t_12+4315*t_1*t_12-1178*t_2*t_12+3352*t_3*t_12-14854*t_4*t_12-14953*t_5*t_12-5925*t_6*t_12-6074*t_7*t_12-14213*t_8*t_12-10593*t_9*t_12-2689*t_10*t_12-9072*t_11*t_12-6100*t_12^2+7619*t_0*t_13-3600*t_1*t_13-1583*t_2*t_13-15436*t_3*t_13+2278*t_4*t_13-5267*t_5*t_13+1756*t_6*t_13-13005*t_7*t_13+12015*t_8*t_13+15678*t_9*t_13+9072*t_10*t_13+6100*t_11*t_13, t_2^2-1785*t_0*t_11+10141*t_1*t_11+7080*t_2*t_11-9562*t_3*t_11-9459*t_4*t_11-8850*t_5*t_11-9622*t_6*t_11+9185*t_7*t_11-5085*t_8*t_11-11375*t_9*t_11-11355*t_10*t_11-9937*t_11^2+14321*t_0*t_12-6157*t_1*t_12+10953*t_2*t_12-1512*t_3*t_12+11709*t_4*t_12+11827*t_5*t_12+497*t_6*t_12+1784*t_7*t_12+9022*t_8*t_12-8254*t_9*t_12+8969*t_10*t_12-6885*t_11*t_12-15608*t_12^2-923*t_0*t_13-1391*t_1*t_13+10971*t_2*t_13-2859*t_3*t_13-2205*t_4*t_13-9682*t_5*t_13+3301*t_6*t_13+2353*t_7*t_13-12394*t_8*t_13+968*t_9*t_13+6885*t_10*t_13+15608*t_11*t_13, t_1*t_2-4084*t_0*t_11+13789*t_1*t_11+15537*t_2*t_11-14708*t_3*t_11+4666*t_4*t_11+5084*t_5*t_11+5515*t_6*t_11+781*t_7*t_11-4031*t_8*t_11+12528*t_9*t_11+5091*t_10*t_11+12443*t_11^2+15658*t_0*t_12-11690*t_1*t_12+12957*t_2*t_12-8641*t_3*t_12-4833*t_4*t_12-15244*t_5*t_12+14154*t_6*t_12-2331*t_7*t_12+2706*t_8*t_12-15972*t_9*t_12-1737*t_10*t_12-12395*t_11*t_12+220*t_12^2-3847*t_0*t_13+1751*t_1*t_13+3975*t_2*t_13-251*t_3*t_13+9729*t_4*t_13-14935*t_5*t_13+6362*t_6*t_13-15234*t_7*t_13+10881*t_8*t_13-10706*t_9*t_13+12395*t_10*t_13-220*t_11*t_13, t_0*t_2+1346*t_0*t_11+2925*t_1*t_11+7998*t_2*t_11+2946*t_3*t_11-13848*t_4*t_11-1322*t_5*t_11+11987*t_6*t_11-5400*t_7*t_11-6366*t_8*t_11-10644*t_9*t_11-12166*t_10*t_11-7803*t_11^2-13899*t_0*t_12+13230*t_1*t_12-7740*t_2*t_12-1709*t_3*t_12+14818*t_4*t_12-8599*t_5*t_12+12191*t_6*t_12-10473*t_7*t_12-6427*t_8*t_12+13019*t_9*t_12-5404*t_10*t_12+11402*t_11*t_12-6261*t_12^2+10775*t_0*t_13+4794*t_1*t_13+15557*t_2*t_13-13496*t_3*t_13-3388*t_4*t_13-6791*t_5*t_13-15164*t_6*t_13-14932*t_7*t_13-853*t_8*t_13+13207*t_9*t_13-11402*t_10*t_13+6261*t_11*t_13, t_1^2+11119*t_0*t_11+7994*t_1*t_11-113*t_2*t_11+904*t_3*t_11+4142*t_4*t_11-3949*t_5*t_11-10127*t_6*t_11-15135*t_7*t_11-11382*t_8*t_11-15261*t_9*t_11-1767*t_10*t_11+8240*t_11^2-15038*t_0*t_12+3726*t_1*t_12-3763*t_2*t_12+10346*t_3*t_12+14791*t_4*t_12+14593*t_5*t_12-1303*t_6*t_12+11463*t_7*t_12+6611*t_8*t_12+12822*t_9*t_12+4794*t_10*t_12-13692*t_11*t_12+11299*t_12^2-3613*t_0*t_13+2859*t_1*t_13-14488*t_2*t_13-10842*t_3*t_13-4466*t_4*t_13-15565*t_5*t_13-81*t_6*t_13+8650*t_7*t_13-11055*t_8*t_13-13034*t_9*t_13+13692*t_10*t_13-11299*t_11*t_13, t_0*t_1-7702*t_0*t_11+8983*t_1*t_11+13470*t_2*t_11-15394*t_3*t_11+5652*t_4*t_11-5656*t_5*t_11+3392*t_6*t_11+14386*t_7*t_11+13932*t_8*t_11-6338*t_9*t_11-8174*t_10*t_11+11744*t_11^2+5987*t_0*t_12-9260*t_1*t_12+7094*t_2*t_12+11874*t_3*t_12-959*t_4*t_12-15804*t_5*t_12+8172*t_6*t_12+5089*t_7*t_12+885*t_8*t_12+12467*t_9*t_12-11814*t_10*t_12-9829*t_11*t_12+14887*t_12^2-4210*t_0*t_13+8300*t_1*t_13+14477*t_2*t_13+6615*t_3*t_13+12412*t_4*t_13+9445*t_5*t_13+12982*t_6*t_13+5453*t_7*t_13-4293*t_8*t_13+70*t_9*t_13+9829*t_10*t_13-14887*t_11*t_13, t_0^2+11377*t_0*t_11-10961*t_1*t_11-15572*t_2*t_11-6792*t_3*t_11-2942*t_4*t_11-8446*t_5*t_11-8110*t_6*t_11-10105*t_7*t_11-7749*t_8*t_11+9980*t_9*t_11+13940*t_10*t_11+11210*t_11^2-1939*t_0*t_12-7961*t_1*t_12+13083*t_2*t_12+7832*t_3*t_12+1392*t_4*t_12+9705*t_5*t_12+852*t_6*t_12-10543*t_7*t_12-8741*t_8*t_12+1762*t_9*t_12-11631*t_10*t_12+3554*t_11*t_12-3478*t_12^2-8470*t_0*t_13-6291*t_1*t_13-4890*t_2*t_13+7054*t_3*t_13-1595*t_4*t_13+9253*t_5*t_13-13711*t_6*t_13-1239*t_7*t_13-15702*t_8*t_13+421*t_9*t_13-3554*t_10*t_13+3478*t_11*t_13]
;
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, t_1*t_9+568*t_7*t_9+7555*t_8*t_9+1260*t_9^2-2104*t_0*t_10-4381*t_1*t_10-5458*t_2*t_10+928*t_3*t_10-3894*t_4*t_10+340*t_5*t_10+7934*t_6*t_10-8041*t_7*t_10+5089*t_8*t_10+606*t_9*t_10+415*t_10^2+1145*t_0*t_11-5067*t_1*t_11+1012*t_2*t_11-7110*t_3*t_11-3149*t_4*t_11-4391*t_5*t_11+4613*t_6*t_11-6254*t_7*t_11-1951*t_8*t_11+3199*t_9*t_11-352*t_10*t_11+4242*t_11^2-5658*t_0*t_12-1940*t_1*t_12-5179*t_2*t_12+2809*t_3*t_12-4111*t_4*t_12-4127*t_5*t_12-95*t_6*t_12+1345*t_7*t_12-3614*t_8*t_12+352*t_9*t_12-4242*t_10*t_12, t_0*t_9+3940*t_7*t_9+3370*t_8*t_9+6837*t_9^2+1866*t_0*t_10+7131*t_1*t_10+1250*t_2*t_10+5423*t_3*t_10+1239*t_4*t_10+1498*t_5*t_10-4258*t_6*t_10+2475*t_7*t_10+7862*t_8*t_10+6904*t_9*t_10-5528*t_10^2+934*t_0*t_11-4829*t_1*t_11-6791*t_2*t_11+3326*t_3*t_11+3755*t_4*t_11+5375*t_5*t_11-187*t_6*t_11-6324*t_7*t_11+7443*t_8*t_11-7278*t_9*t_11+394*t_10*t_11-1311*t_11^2+3579*t_0*t_12+1368*t_1*t_12-4565*t_2*t_12-5253*t_3*t_12-5057*t_4*t_12-5658*t_5*t_12+7808*t_6*t_12+1836*t_7*t_12-3377*t_8*t_12-394*t_9*t_12+1311*t_10*t_12, t_8^2-4400*t_7*t_9-6421*t_8*t_9-5310*t_9^2-7186*t_0*t_10-3866*t_1*t_10+4305*t_2*t_10+5689*t_3*t_10+5112*t_4*t_10-6508*t_5*t_10-3235*t_6*t_10-5716*t_7*t_10+3132*t_8*t_10-172*t_9*t_10-6723*t_10^2+3318*t_0*t_11+8049*t_1*t_11-7814*t_2*t_11+4329*t_3*t_11+8075*t_4*t_11+8019*t_5*t_11+2268*t_6*t_11+4576*t_7*t_11+4971*t_8*t_11-2302*t_9*t_11+1786*t_10*t_11-7437*t_11^2+3829*t_0*t_12+2125*t_1*t_12+6742*t_2*t_12-1567*t_3*t_12-385*t_4*t_12-6314*t_5*t_12-2398*t_6*t_12-4799*t_7*t_12-7158*t_8*t_12-1786*t_9*t_12+7437*t_10*t_12, 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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);$