/*
    Copyright 2020 Daniel Schultz

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 2.1 of the License, or
    (at your option) any later version.  See <http://www.gnu.org/licenses/>.
*/

#include <stdio.h>
#include <stdlib.h>
#include "nmod_mpoly_factor.h"
#include "profiler.h"


slong check_omega(slong om, const nmod_mpoly_t p, const char ** vars, const nmod_mpoly_ctx_t ctx)
{
    slong i;
    nmod_mpoly_factor_t g;
    nmod_mpoly_t q;
    fmpz_t omega;
    timeit_t timer;

    fmpz_init(omega);
    nmod_mpoly_factor_init(g, ctx);
    nmod_mpoly_init(q, ctx);

    timeit_start(timer);
    nmod_mpoly_factor(g, p, ctx);
    timeit_stop(timer);

    fmpz_zero(omega);
    for (i = 0; i < g->num; i++)
        fmpz_add(omega, omega, g->exp + i);

    if (fmpz_cmp_si(omega, om) < 0)
    {
        flint_printf("factorization has wrong number of factors\n");
        flint_abort();
    }

    if (!nmod_mpoly_factor_expand(q, g, ctx) ||
        !nmod_mpoly_equal(q, p, ctx))
    {
        flint_printf("factorization does not match\n");
        flint_abort();
    }

    nmod_mpoly_clear(q, ctx);
    nmod_mpoly_factor_clear(g, ctx);
    fmpz_clear(omega);

    return timer->wall;
}


int main(int argc, char *argv[])
{
    slong i, k, time, total_time;

    flint_printf("\n------ bivariate powers ------\n");
    total_time = 0;
    {
        nmod_mpoly_ctx_t ctx;
        nmod_mpoly_t a, b, c;
        const char * vars[] = {"x", "y", "z", "t"};

        nmod_mpoly_ctx_init(ctx, 4, ORD_LEX, UWORD(4611686018427388073));
        nmod_mpoly_init(a, ctx);
        nmod_mpoly_init(b, ctx);
        nmod_mpoly_init(c, ctx);

        for (i = 1; i <= 100; i++)
        {
            nmod_mpoly_set_str_pretty(a, "x+1", vars, ctx);
            nmod_mpoly_set_str_pretty(b, "y+2", vars, ctx);
            nmod_mpoly_set_str_pretty(c, "1+x+y+z*0+t*0", vars, ctx);
            nmod_mpoly_pow_ui(c, c, i, ctx);
            nmod_mpoly_add(a, a, c, ctx);
            nmod_mpoly_add(b, b, c, ctx);
            nmod_mpoly_mul(a, a, b, ctx);

            time = check_omega(2, a, vars, ctx);
            flint_printf("power %wd: %wd\n", i, time);
            total_time += time;
        }

        nmod_mpoly_clear(a, ctx);
        nmod_mpoly_clear(b, ctx);
        nmod_mpoly_clear(c, ctx);
        nmod_mpoly_ctx_clear(ctx);
    }
    flint_printf("total_time: %wd\n", total_time);


    flint_printf("\n------ characteristic 43051 ------\n");
    total_time = 0;
    {
        nmod_mpoly_ctx_t ctx;
        nmod_mpoly_t a;
        const char * vars[] = {"x","y","z","u","v","w","s","t"};

        nmod_mpoly_ctx_init(ctx, 8, ORD_LEX, 43051);
        nmod_mpoly_init(a, ctx);

        flint_printf(" #1: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a,
            "(13269*y^128+9940*x^2*y^126+38886*y^126+22127*x^4*y^124+7922*x^2*y^124+25434*y^124+26172*x^6*y^122+20019*x^4*y^122+710*x^2*y^122+39701*y^122+30041*x^8*y^120+14420*x^6*y^120+18592*x^4*y^120"
            "+28677*x^2*y^120+1803*y^120+38458*x^10*y^118+20323*x^8*y^118+8330*x^6*y^118+30874*x^4*y^118+29200*x^2*y^118+29220*y^118+33741*x^12*y^116+35378*x^10*y^116+13296*x^8*y^116+33509*x^6*y^116+15132*x^4*y^116"
            "+16915*x^2*y^116+36779*y^116+12066*x^14*y^114+35681*x^12*y^114+38852*x^10*y^114+32818*x^8*y^114+34141*x^6*y^114+29281*x^4*y^114+17106*x^2*y^114+3974*y^114+7189*x^16*y^112+38835*x^14*y^112+2669*x^12*y^112"
            "+13844*x^10*y^112+27827*x^8*y^112+4543*x^6*y^112+22980*x^4*y^112+14802*x^2*y^112+7911*y^112+8742*x^18*y^110+17449*x^16*y^110+17848*x^14*y^110+11408*x^12*y^110+15204*x^10*y^110+38475*x^8*y^110+22477*x^6*y^110"
            "+10864*x^4*y^110+7567*x^2*y^110+2699*y^110+15389*x^20*y^108+28996*x^18*y^108+33417*x^16*y^108+9037*x^14*y^108+37403*x^12*y^108+14179*x^10*y^108+22500*x^8*y^108+30910*x^6*y^108+6007*x^4*y^108+3533*x^2*y^108"
            "+13784*y^108+3379*x^22*y^106+9097*x^20*y^106+8875*x^18*y^106+23815*x^16*y^106+26019*x^14*y^106+12197*x^12*y^106+33524*x^10*y^106+26645*x^8*y^106+12525*x^6*y^106+4936*x^4*y^106+16621*x^2*y^106+6518*y^106"
            "+34806*x^24*y^104+27532*x^22*y^104+15481*x^20*y^104+42694*x^18*y^104+9716*x^16*y^104+1534*x^14*y^104+3364*x^12*y^104+26521*x^10*y^104+8018*x^8*y^104+21019*x^6*y^104+23939*x^4*y^104+37877*x^2*y^104+1982*y^104"
            "+39670*x^26*y^102+7080*x^24*y^102+38717*x^22*y^102+22559*x^20*y^102+17582*x^18*y^102+10978*x^16*y^102+17609*x^14*y^102+23514*x^12*y^102+7142*x^10*y^102+18372*x^8*y^102+24156*x^6*y^102+31836*x^4*y^102"
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            "+36526*x^6*y^94+30049*x^4*y^94+37434*x^2*y^94+9317*y^94+4301*x^36*y^92+24353*x^34*y^92+38244*x^32*y^92+40102*x^30*y^92+10779*x^28*y^92+2406*x^26*y^92+29521*x^24*y^92+35520*x^22*y^92+24174*x^20*y^92"
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            "+12083*x^10*y^4+42019*x^8*y^4+32011*x^6*y^4+24665*x^4*y^4+40332*x^2*y^4+34190*y^4+9940*x^126*y^2+7922*x^124*y^2+710*x^122*y^2+28677*x^120*y^2+29200*x^118*y^2+16915*x^116*y^2+17106*x^114*y^2+14802*x^112*y^2"
            "+7567*x^110*y^2+3533*x^108*y^2+16621*x^106*y^2+37877*x^104*y^2+7956*x^102*y^2+16344*x^100*y^2+36978*x^98*y^2+39545*x^96*y^2+37434*x^94*y^2+5249*x^92*y^2+39842*x^90*y^2+23580*x^88*y^2+40902*x^86*y^2"
            "+527*x^84*y^2+33256*x^82*y^2+31430*x^80*y^2+6739*x^78*y^2+42179*x^76*y^2+16431*x^74*y^2+6976*x^72*y^2+37894*x^70*y^2+20000*x^68*y^2+29973*x^66*y^2+31695*x^64*y^2+41973*x^62*y^2+2479*x^60*y^2+33448*x^58*y^2"
            "+6155*x^56*y^2+24489*x^54*y^2+7764*x^52*y^2+6935*x^50*y^2+32788*x^48*y^2+13858*x^46*y^2+19696*x^44*y^2+24391*x^42*y^2+34902*x^40*y^2+27564*x^38*y^2+24627*x^36*y^2+41873*x^34*y^2+39978*x^32*y^2+31220*x^30*y^2"
            "+16078*x^28*y^2+21206*x^26*y^2+4924*x^24*y^2+24107*x^22*y^2+2642*x^20*y^2+9942*x^18*y^2+32635*x^16*y^2+18223*x^14*y^2+21946*x^12*y^2+17452*x^10*y^2+22441*x^8*y^2+38749*x^6*y^2+400*x^4*y^2+12301*x^2*y^2"
            "+31143*y^2+13269*x^128+38886*x^126+25434*x^124+39701*x^122+1803*x^120+29220*x^118+36779*x^116+3974*x^114+7911*x^112+2699*x^110+13784*x^108+6518*x^106+1982*x^104+5676*x^102+40582*x^100+34026*x^98+20847*x^96"
            "+9317*x^94+3786*x^92+6303*x^90+35840*x^88+1260*x^86+7194*x^84+11865*x^82+37487*x^80+39482*x^78+3463*x^76+39442*x^74+2094*x^72+28384*x^70+8368*x^68+11182*x^66+22493*x^64+38408*x^62+5132*x^60+40665*x^58"
            "+17337*x^56+16314*x^54+12887*x^52+30723*x^50+467*x^48+19550*x^46+4535*x^44+14740*x^42+30512*x^40+16004*x^38+18242*x^36+21135*x^34+31930*x^32+9145*x^30+13045*x^28+37859*x^26+4891*x^24+15931*x^22+33896*x^20"
            "+22053*x^18+19758*x^16+29918*x^14+22856*x^12+42701*x^10+12577*x^8+40627*x^6+21210*x^4+32848*x^2+39447)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #2: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(39739*z^9*x^10*y^7*s^9+33115*z^9*x^11*y^6*s^9+33115*z^10*x^10*y^6*s^9+33115*z^9*x^12*y^5*s^9+23179*z^10*x^11*y^5*s^9+33115*z^11*x^10*y^5*s^9+39739*z^9*x^13*y^4*s^9+33115*z^10*x^12*y^4*s^9+33115*z^11*x^11*y^4*s^9+39739*z^12*x^10*y^4*s^9+41743*x*y^13*s^8+39127*x^2*y^12*s^8+39127*z*x*y^12*s^8+39127*x^3*y^11*s^8+35203*z*x^2*y^11*s^8+39127*z^2*x*y^11*s^8+41743*x^4*y^10*s^8+39127*z*x^3*y^10*s^8+39127*z^2*x^2*y^10*s^8+41743*z^3*x*y^10*s^8+21629*z^6*x*y^9*s^7+21836*z^6*x^2*y^8*s^7+21836*z^7*x*y^8*s^7+21836*z^6*x^3*y^7*s^7+621*z^7*x^2*y^7*s^7+21836*z^8*x*y^7*s^7+21629*z^6*x^4*y^6*s^7+21836*z^7*x^3*y^6*s^7+21836*z^8*x^2*y^6*s^7+21629*z^9*x*y^6*s^7+16873*z^8*x^3*y^12*s^6+7568*z^8*x^4*y^11*s^6+7568*z^9*x^3*y^11*s^6+7568*z^8*x^5*y^10*s^6+15136*z^9*x^4*y^10*s^6+7568*z^10*x^3*y^10*s^6+16873*z^8*x^6*y^9*s^6+7568*z^9*x^5*y^9*s^6+7568*z^10*x^4*y^9*s^6+16873*z^11*x^3*y^9*s^6+24116*z^6*x*y^11*s^5+29297*z^6*x^2*y^10*s^5+15295*z^7*x*y^10*s^5+29297*z^6*x^3*y^9*s^5+16588*z^7*x^2*y^9*s^5+30342*z^8*x*y^9*s^5+24116*z^6*x^4*y^8*s^5+30342*z^7*x^3*y^8*s^5+31387*z^8*x^2*y^8*s^5+25161*z^9*x*y^8*s^5+29049*z^7*x^4*y^7*s^5+1045*z^8*x^3*y^7*s^5+1045*z^9*x^2*y^7*s^5+29049*z^10*x*y^7*s^5+13845*z^6*x^2*y^13*s^3+41535*z^6*x^3*y^12*s^3+41535*z^7*x^2*y^12*s^3+41535*z^6*x^4*y^11*s^3+40019*z^7*x^3*y^11*s^3+41535*z^8*x^2*y^11*s^3+13845*z^6*x^5*y^10*s^3+41535*z^7*x^4*y^10*s^3+41535*z^8*x^3*y^10*s^3+13845*z^9*x^2*y^10*s^3+8506*z*x^10*y^9*s+25518*z*x^11*y^8*s+25518*z^2*x^10*y^8*s+25518*z*x^12*y^7*s+7985*z^2*x^11*y^7*s+25518*z^3*x^10*y^7*s+8506*z*x^13*y^6*s+25518*z^2*x^12*y^6*s+25518*z^3*x^11*y^6*s+8506*z^4*x^10*y^6*s+19583*z^8*x*y^6+15698*z^8*x^2*y^5+15698*z^9*x*y^5+15698*z^8*x^3*y^4+31396*z^9*x^2*y^4+15698*z^10*x*y^4+19583*z^8*x^4*y^3+15698*z^9*x^3*y^3+15698*z^10*x^2*y^3+19583*z^11*x*y^3)*(22750*z^4*x^4*y^4*s^4+41200*z^4*x*y^3*s^3+14342*x^4*y^2*s^3+27324*z^4*x^3*y^3*s+42152*z^2*y^3*s+14244*z^3*y^2*s+40575*z*x^2*y*s+4017*z^2*y^4+26755*z^4*x^3)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #3: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(16873*z^2*x^8*y^7*s^8+7568*z^2*x^9*y^6*s^8+7568*z^3*x^8*y^6*s^8+7568*z^2*x^10*y^5*s^8+15136*z^3*x^9*y^5*s^8+7568*z^4*x^8*y^5*s^8+16873*z^2*x^11*y^4*s^8+7568*z^3*x^10*y^4*s^8+7568*z^4*x^9*y^4*s^8+16873*z^5*x^8*y^4*s^8+41743*z^9*x^7*y^8*s^5+39127*z^9*x^8*y^7*s^5+39127*z^10*x^7*y^7*s^5+39127*z^9*x^9*y^6*s^5+35203*z^10*x^8*y^6*s^5+39127*z^11*x^7*y^6*s^5+41743*z^9*x^10*y^5*s^5+39127*z^10*x^9*y^5*s^5+39127*z^11*x^8*y^5*s^5+41743*z^12*x^7*y^5*s^5+19583*z^4*x^6*y^7*s^4+13845*z^6*x^9*y^6*s^4+15698*z^4*x^7*y^6*s^4+15698*z^5*x^6*y^6*s^4+41535*z^6*x^10*y^5*s^4+41535*z^7*x^9*y^5*s^4+15698*z^4*x^8*y^5*s^4+31396*z^5*x^7*y^5*s^4+15698*z^6*x^6*y^5*s^4+41535*z^6*x^11*y^4*s^4+40019*z^7*x^10*y^4*s^4+41535*z^8*x^9*y^4*s^4+19583*z^4*x^9*y^4*s^4+15698*z^5*x^8*y^4*s^4+15698*z^6*x^7*y^4*s^4+19583*z^7*x^6*y^4*s^4+13845*z^6*x^12*y^3*s^4+41535*z^7*x^11*y^3*s^4+41535*z^8*x^10*y^3*s^4+13845*z^9*x^9*y^3*s^4+39739*z^9*x^6*y^13*s^2+33115*z^9*x^7*y^12*s^2+33115*z^10*x^6*y^12*s^2+33115*z^9*x^8*y^11*s^2+23179*z^10*x^7*y^11*s^2+33115*z^11*x^6*y^11*s^2+39739*z^9*x^9*y^10*s^2+33115*z^10*x^8*y^10*s^2+33115*z^11*x^7*y^10*s^2+39739*z^12*x^6*y^10*s^2+8506*z^8*x^6*y^10*s^2+25518*z^8*x^7*y^9*s^2+25518*z^9*x^6*y^9*s^2+25518*z^8*x^8*y^8*s^2+7985*z^9*x^7*y^8*s^2+25518*z^10*x^6*y^8*s^2+21629*z^6*x^6*y^8*s^2+8506*z^8*x^9*y^7*s^2+25518*z^9*x^8*y^7*s^2+25518*z^10*x^7*y^7*s^2+21836*z^6*x^7*y^7*s^2+8506*z^11*x^6*y^7*s^2+21836*z^7*x^6*y^7*s^2+21836*z^6*x^8*y^6*s^2+621*z^7*x^7*y^6*s^2+21836*z^8*x^6*y^6*s^2+21629*z^6*x^9*y^5*s^2+21836*z^7*x^8*y^5*s^2+21836*z^8*x^7*y^5*s^2+21629*z^9*x^6*y^5*s^2+24116*z^6*x^7*y^4*s+29297*z^6*x^8*y^3*s+29297*z^7*x^7*y^3*s+29297*z^6*x^9*y^2*s+15543*z^7*x^8*y^2*s+29297*z^8*x^7*y^2*s+24116*z^6*x^10*y*s+29297*z^7*x^9*y*s+29297*z^8*x^8*y*s+24116*z^9*x^7*y*s+29049*z^7*x^6*y^6+1045*z^7*x^7*y^5+1045*z^8*x^6*y^5+1045*z^7*x^8*y^4+2090*z^8*x^7*y^4+1045*z^9*x^6*y^4+29049*z^7*x^9*y^3+1045*z^8*x^8*y^3+1045*z^9*x^7*y^3+29049*z^10*x^6*y^3)*(41200*x*y^4*s^3+40575*z*x^3*y^3*s^3+14342*x*y^3*s^3+4017*z*x^4*y^4*s^2+22750*z*x^3*y^3*s^2+26425*x^3*y^3*s^2+26755*z*x^2*s^2+14244*z^3*x^4*y*s)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #4: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(41743*z^7*x^5*y^6*s^8+39127*z^7*x^6*y^5*s^8+39127*z^8*x^5*y^5*s^8+39127*z^7*x^7*y^4*s^8+35203*z^8*x^6*y^4*s^8+39127*z^9*x^5*y^4*s^8+41743*z^7*x^8*y^3*s^8+39127*z^8*x^7*y^3*s^8+39127*z^9*x^6*y^3*s^8+41743*z^10*x^5*y^3*s^8+29049*x*y^5*s^7+1045*x^2*y^4*s^7+1045*z*x*y^4*s^7+1045*x^3*y^3*s^7+2090*z*x^2*y^3*s^7+1045*z^2*x*y^3*s^7+29049*x^4*y^2*s^7+1045*z*x^3*y^2*s^7+1045*z^2*x^2*y^2*s^7+29049*z^3*x*y^2*s^7+39739*z^3*x^8*y^11*s^5+33115*z^3*x^9*y^10*s^5+33115*z^4*x^8*y^10*s^5+33115*z^3*x^10*y^9*s^5+23179*z^4*x^9*y^9*s^5+33115*z^5*x^8*y^9*s^5+39739*z^3*x^11*y^8*s^5+33115*z^4*x^10*y^8*s^5+33115*z^5*x^9*y^8*s^5+39739*z^6*x^8*y^8*s^5+13845*x*y^4*s^4+41535*x^2*y^3*s^4+41535*z*x*y^3*s^4+41535*x^3*y^2*s^4+40019*z*x^2*y^2*s^4+41535*z^2*x*y^2*s^4+13845*x^4*y*s^4+41535*z*x^3*y*s^4+41535*z^2*x^2*y*s^4+13845*z^3*x*y*s^4+16873*z^3*x^10*y^11*s+7568*z^3*x^11*y^10*s+7568*z^4*x^10*y^10*s+21629*z^9*x^6*y^10*s+7568*z^3*x^12*y^9*s+15136*z^4*x^11*y^9*s+7568*z^5*x^10*y^9*s+21836*z^9*x^7*y^9*s+21836*z^10*x^6*y^9*s+16873*z^3*x^13*y^8*s+7568*z^4*x^12*y^8*s+7568*z^5*x^11*y^8*s+16873*z^6*x^10*y^8*s+21836*z^9*x^8*y^8*s+621*z^10*x^7*y^8*s+21836*z^11*x^6*y^8*s+21629*z^9*x^9*y^7*s+21836*z^10*x^8*y^7*s+21836*z^11*x^7*y^7*s+21629*z^12*x^6*y^7*s+19583*z^4*x^5*y^4*s+8506*z^4*x^3*y^4*s+15698*z^4*x^6*y^3*s+15698*z^5*x^5*y^3*s+25518*z^4*x^4*y^3*s+25518*z^5*x^3*y^3*s+15698*z^4*x^7*y^2*s+31396*z^5*x^6*y^2*s+15698*z^6*x^5*y^2*s+25518*z^4*x^5*y^2*s+7985*z^5*x^4*y^2*s+25518*z^6*x^3*y^2*s+19583*z^4*x^8*y*s+15698*z^5*x^7*y*s+15698*z^6*x^6*y*s+8506*z^4*x^6*y*s+19583*z^7*x^5*y*s+25518*z^5*x^5*y*s+25518*z^6*x^4*y*s+8506*z^7*x^3*y*s+24116*z^5*x^9*y^7+29297*z^5*x^10*y^6+29297*z^6*x^9*y^6+29297*z^5*x^11*y^5+15543*z^6*x^10*y^5+29297*z^7*x^9*y^5+24116*z^5*x^12*y^4+29297*z^6*x^11*y^4+29297*z^7*x^10*y^4+24116*z^8*x^9*y^4)*(41200*z^4*x^4*y^3*s^4+14244*z^3*x^4*y*s^4+14342*x^3*y*s^4+39676*z*x^2*y^2*s^3+27324*z^3*x*y^2*s^3+22750*z^4*y*s^3+26755*x*y*s^2+4017*x^3*y^3)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #5: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(13845*x^2*y^8*s^9+41535*x^3*y^7*s^9+41535*z*x^2*y^7*s^9+41535*x^4*y^6*s^9+40019*z*x^3*y^6*s^9+41535*z^2*x^2*y^6*s^9+13845*x^5*y^5*s^9+41535*z*x^4*y^5*s^9+41535*z^2*x^3*y^5*s^9+13845*z^3*x^2*y^5*s^9+41743*z^2*x^7*y^11*s^7+16873*x*y^11*s^7+39127*z^2*x^8*y^10*s^7+39127*z^3*x^7*y^10*s^7+7568*x^2*y^10*s^7+7568*z*x*y^10*s^7+39127*z^2*x^9*y^9*s^7+35203*z^3*x^8*y^9*s^7+39127*z^4*x^7*y^9*s^7+7568*x^3*y^9*s^7+15136*z*x^2*y^9*s^7+7568*z^2*x*y^9*s^7+41743*z^2*x^10*y^8*s^7+39127*z^3*x^9*y^8*s^7+39127*z^4*x^8*y^8*s^7+41743*z^5*x^7*y^8*s^7+16873*x^4*y^8*s^7+27151*z*x^3*y^8*s^7+7568*z^2*x^2*y^8*s^7+16873*z^3*x*y^8*s^7+8506*z^7*x^10*y^7*s^7+15698*z*x^4*y^7*s^7+15698*z^2*x^3*y^7*s^7+25518*z^7*x^11*y^6*s^7+25518*z^8*x^10*y^6*s^7+15698*z*x^5*y^6*s^7+31396*z^2*x^4*y^6*s^7+15698*z^3*x^3*y^6*s^7+25518*z^7*x^12*y^5*s^7+7985*z^8*x^11*y^5*s^7+25518*z^9*x^10*y^5*s^7+19583*z*x^6*y^5*s^7+15698*z^2*x^5*y^5*s^7+15698*z^3*x^4*y^5*s^7+19583*z^4*x^3*y^5*s^7+8506*z^7*x^13*y^4*s^7+25518*z^8*x^12*y^4*s^7+25518*z^9*x^11*y^4*s^7+8506*z^10*x^10*y^4*s^7+29049*z^8*x^2*y^13*s^6+1045*z^8*x^3*y^12*s^6+1045*z^9*x^2*y^12*s^6+1045*z^8*x^4*y^11*s^6+2090*z^9*x^3*y^11*s^6+1045*z^10*x^2*y^11*s^6+29049*z^8*x^5*y^10*s^6+1045*z^9*x^4*y^10*s^6+1045*z^10*x^3*y^10*s^6+29049*z^11*x^2*y^10*s^6+39739*z^3*x^5*y^4*s^4+33115*z^3*x^6*y^3*s^4+33115*z^4*x^5*y^3*s^4+33115*z^3*x^7*y^2*s^4+23179*z^4*x^6*y^2*s^4+33115*z^5*x^5*y^2*s^4+39739*z^3*x^8*y*s^4+33115*z^4*x^7*y*s^4+33115*z^5*x^6*y*s^4+39739*z^6*x^5*y*s^4+21629*z^4*x^5*y^9*s^3+21836*z^4*x^6*y^8*s^3+21836*z^5*x^5*y^8*s^3+21836*z^4*x^7*y^7*s^3+621*z^5*x^6*y^7*s^3+21836*z^6*x^5*y^7*s^3+21629*z^4*x^8*y^6*s^3+21836*z^5*x^7*y^6*s^3+21836*z^6*x^6*y^6*s^3+21629*z^7*x^5*y^6*s^3+24116*z^9*x^2*y^5+29297*z^9*x^3*y^4+29297*z^10*x^2*y^4+29297*z^9*x^4*y^3+15543*z^10*x^3*y^3+29297*z^11*x^2*y^3+24116*z^9*x^5*y^2+29297*z^10*x^4*y^2+29297*z^11*x^3*y^2+24116*z^12*x^2*y^2)*(4017*z*x^4*y^2*s^4+27324*z*x^3*s^4+26755*z^4*x^2*y^3*s^3+40575*x*s^3+14244*x*y^4*s^2+41200*z^4*x^2*s+42152*z*x*s+22750*s+14342*x^4*y)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #6: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(39739*z^7*x^10*y^7*s^7+33115*z^7*x^11*y^6*s^7+33115*z^8*x^10*y^6*s^7+33115*z^7*x^12*y^5*s^7+23179*z^8*x^11*y^5*s^7+33115*z^9*x^10*y^5*s^7+39739*z^7*x^13*y^4*s^7+33115*z^8*x^12*y^4*s^7+33115*z^9*x^11*y^4*s^7+39739*z^10*x^10*y^4*s^7+8506*z^3*x^10*y^4*s^7+25518*z^3*x^11*y^3*s^7+25518*z^4*x^10*y^3*s^7+25518*z^3*x^12*y^2*s^7+7985*z^4*x^11*y^2*s^7+25518*z^5*x^10*y^2*s^7+8506*z^3*x^13*y*s^7+25518*z^4*x^12*y*s^7+25518*z^5*x^11*y*s^7+8506*z^6*x^10*y*s^7+41743*x^5*y^13*s^6+39127*x^6*y^12*s^6+39127*z*x^5*y^12*s^6+39127*x^7*y^11*s^6+35203*z*x^6*y^11*s^6+39127*z^2*x^5*y^11*s^6+41743*x^8*y^10*s^6+39127*z*x^7*y^10*s^6+39127*z^2*x^6*y^10*s^6+41743*z^3*x^5*y^10*s^6+16873*z^6*x^4*y^7*s^5+7568*z^6*x^5*y^6*s^5+7568*z^7*x^4*y^6*s^5+7568*z^6*x^6*y^5*s^5+15136*z^7*x^5*y^5*s^5+7568*z^8*x^4*y^5*s^5+16873*z^6*x^7*y^4*s^5+7568*z^7*x^6*y^4*s^5+7568*z^8*x^5*y^4*s^5+16873*z^9*x^4*y^4*s^5+13845*z^7*x^6*y^13*s^4+41535*z^7*x^7*y^12*s^4+41535*z^8*x^6*y^12*s^4+41535*z^7*x^8*y^11*s^4+40019*z^8*x^7*y^11*s^4+41535*z^9*x^6*y^11*s^4+13845*z^7*x^9*y^10*s^4+41535*z^8*x^8*y^10*s^4+41535*z^9*x^7*y^10*s^4+13845*z^10*x^6*y^10*s^4+19583*z^7*x^7*y^6*s^4+15698*z^7*x^8*y^5*s^4+15698*z^8*x^7*y^5*s^4+15698*z^7*x^9*y^4*s^4+31396*z^8*x^8*y^4*s^4+15698*z^9*x^7*y^4*s^4+19583*z^7*x^10*y^3*s^4+15698*z^8*x^9*y^3*s^4+15698*z^9*x^8*y^3*s^4+19583*z^10*x^7*y^3*s^4+21629*z*x^9*y^8*s^2+24116*z^3*x^5*y^8*s^2+21836*z*x^10*y^7*s^2+21836*z^2*x^9*y^7*s^2+29297*z^3*x^6*y^7*s^2+29297*z^4*x^5*y^7*s^2+21836*z*x^11*y^6*s^2+621*z^2*x^10*y^6*s^2+21836*z^3*x^9*y^6*s^2+29297*z^3*x^7*y^6*s^2+15543*z^4*x^6*y^6*s^2+29297*z^5*x^5*y^6*s^2+21629*z*x^12*y^5*s^2+21836*z^2*x^11*y^5*s^2+21836*z^3*x^10*y^5*s^2+21629*z^4*x^9*y^5*s^2+24116*z^3*x^8*y^5*s^2+29297*z^4*x^7*y^5*s^2+29297*z^5*x^6*y^5*s^2+24116*z^6*x^5*y^5*s^2+29049*z^2*x^2*y^10+1045*z^2*x^3*y^9+1045*z^3*x^2*y^9+1045*z^2*x^4*y^8+2090*z^3*x^3*y^8+1045*z^4*x^2*y^8+29049*z^2*x^5*y^7+1045*z^3*x^4*y^7+1045*z^4*x^3*y^7+29049*z^5*x^2*y^7)*(41200*z^4*x^4*y^3*s^3+22750*x^3*s^3+26755*z^2*x^3*y^4*s^2+4017*z^4*y^2*s^2+40575*z^2*x^4*y^2*s+42152*z^2*x*s+27324*x^2*y^2+14244*z^2*x^4*y+14342*y)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #7: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(29049*z^5*x^8*y^11*s^9+22674*z^5*x^9*y^10*s^9+1045*z^6*x^8*y^10*s^9+22881*z^5*x^10*y^9*s^9+23926*z^6*x^9*y^9*s^9+1045*z^7*x^8*y^9*s^9+7834*z^5*x^11*y^8*s^9+1666*z^6*x^10*y^8*s^9+22881*z^7*x^9*y^8*s^9+29049*z^8*x^8*y^8*s^9+21629*z^5*x^12*y^7*s^9+21836*z^6*x^11*y^7*s^9+21836*z^7*x^10*y^7*s^9+21629*z^8*x^9*y^7*s^9+41743*z^6*x^6*y^8*s^7+39127*z^6*x^7*y^7*s^7+39127*z^7*x^6*y^7*s^7+39127*z^6*x^8*y^6*s^7+35203*z^7*x^7*y^6*s^7+39127*z^8*x^6*y^6*s^7+19583*z^4*x*y^6*s^7+41743*z^6*x^9*y^5*s^7+39127*z^7*x^8*y^5*s^7+39127*z^8*x^7*y^5*s^7+41743*z^9*x^6*y^5*s^7+15698*z^4*x^2*y^5*s^7+15698*z^5*x*y^5*s^7+15698*z^4*x^3*y^4*s^7+31396*z^5*x^2*y^4*s^7+15698*z^6*x*y^4*s^7+19583*z^4*x^4*y^3*s^7+15698*z^5*x^3*y^3*s^7+15698*z^6*x^2*y^3*s^7+19583*z^7*x*y^3*s^7+39739*z^3*x^7*y^13*s^5+33115*z^3*x^8*y^12*s^5+33115*z^4*x^7*y^12*s^5+33115*z^3*x^9*y^11*s^5+23179*z^4*x^8*y^11*s^5+33115*z^5*x^7*y^11*s^5+39739*z^3*x^10*y^10*s^5+33115*z^4*x^9*y^10*s^5+33115*z^5*x^8*y^10*s^5+39739*z^6*x^7*y^10*s^5+16873*z^9*x^10*y^5*s^5+7568*z^9*x^11*y^4*s^5+7568*z^10*x^10*y^4*s^5+7568*z^9*x^12*y^3*s^5+15136*z^10*x^11*y^3*s^5+7568*z^11*x^10*y^3*s^5+16873*z^9*x^13*y^2*s^5+7568*z^10*x^12*y^2*s^5+7568*z^11*x^11*y^2*s^5+16873*z^12*x^10*y^2*s^5+24116*z^7*x^7*y^4*s^4+29297*z^7*x^8*y^3*s^4+29297*z^8*x^7*y^3*s^4+29297*z^7*x^9*y^2*s^4+15543*z^8*x^8*y^2*s^4+29297*z^9*x^7*y^2*s^4+24116*z^7*x^10*y*s^4+29297*z^8*x^9*y*s^4+29297*z^9*x^8*y*s^4+24116*z^10*x^7*y*s^4+8506*z^6*x^3*y^5*s^3+25518*z^6*x^4*y^4*s^3+25518*z^7*x^3*y^4*s^3+25518*z^6*x^5*y^3*s^3+7985*z^7*x^4*y^3*s^3+25518*z^8*x^3*y^3*s^3+8506*z^6*x^6*y^2*s^3+25518*z^7*x^5*y^2*s^3+25518*z^8*x^4*y^2*s^3+8506*z^9*x^3*y^2*s^3+13845*z^7*x^10*y^7+41535*z^7*x^11*y^6+41535*z^8*x^10*y^6+41535*z^7*x^12*y^5+40019*z^8*x^11*y^5+41535*z^9*x^10*y^5+13845*z^7*x^13*y^4+41535*z^8*x^12*y^4+41535*z^9*x^11*y^4+13845*z^10*x^10*y^4)*(40575*z^4*x^4*s^4+22750*z^4*x^2*y^2*s^2+26755*z^3*y^2*s^2+27324*z^4*x^4*y*s^2+14342*z^4*x^3*y^2*s+14244*x^2*y*s+41200*x^3*s+4017*z^4*y^2+42152*x)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #8: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(39739*z^9*x^7*y^8*s^7+33115*z^9*x^8*y^7*s^7+33115*z^10*x^7*y^7*s^7+33115*z^9*x^9*y^6*s^7+23179*z^10*x^8*y^6*s^7+33115*z^11*x^7*y^6*s^7+39739*z^9*x^10*y^5*s^7+33115*z^10*x^9*y^5*s^7+33115*z^11*x^8*y^5*s^7+39739*z^12*x^7*y^5*s^7+24116*z^8*x*y^10*s^6+29297*z^8*x^2*y^9*s^6+29297*z^9*x*y^9*s^6+29297*z^8*x^3*y^8*s^6+15543*z^9*x^2*y^8*s^6+29297*z^10*x*y^8*s^6+24116*z^8*x^4*y^7*s^6+29297*z^9*x^3*y^7*s^6+29297*z^10*x^2*y^7*s^6+24116*z^11*x*y^7*s^6+21629*z^6*x^7*y^6*s^5+21836*z^6*x^8*y^5*s^5+21836*z^7*x^7*y^5*s^5+21836*z^6*x^9*y^4*s^5+621*z^7*x^8*y^4*s^5+21836*z^8*x^7*y^4*s^5+21629*z^6*x^10*y^3*s^5+21836*z^7*x^9*y^3*s^5+21836*z^8*x^8*y^3*s^5+21629*z^9*x^7*y^3*s^5+19583*z^6*x^9*y^9*s^3+15698*z^6*x^10*y^8*s^3+15698*z^7*x^9*y^8*s^3+15698*z^6*x^11*y^7*s^3+31396*z^7*x^10*y^7*s^3+15698*z^8*x^9*y^7*s^3+29049*z^7*x^8*y^7*s^3+19583*z^6*x^12*y^6*s^3+15698*z^7*x^11*y^6*s^3+15698*z^8*x^10*y^6*s^3+19583*z^9*x^9*y^6*s^3+1045*z^7*x^9*y^6*s^3+1045*z^8*x^8*y^6*s^3+1045*z^7*x^10*y^5*s^3+2090*z^8*x^9*y^5*s^3+1045*z^9*x^8*y^5*s^3+29049*z^7*x^11*y^4*s^3+1045*z^8*x^10*y^4*s^3+1045*z^9*x^9*y^4*s^3+29049*z^10*x^8*y^4*s^3+41743*z^2*x^3*y^11*s^2+39127*z^2*x^4*y^10*s^2+39127*z^3*x^3*y^10*s^2+39127*z^2*x^5*y^9*s^2+35203*z^3*x^4*y^9*s^2+39127*z^4*x^3*y^9*s^2+41743*z^2*x^6*y^8*s^2+39127*z^3*x^5*y^8*s^2+39127*z^4*x^4*y^8*s^2+41743*z^5*x^3*y^8*s^2+13845*z^7*x^7*y^4*s+41535*z^7*x^8*y^3*s+41535*z^8*x^7*y^3*s+41535*z^7*x^9*y^2*s+40019*z^8*x^8*y^2*s+41535*z^9*x^7*y^2*s+13845*z^7*x^10*y*s+41535*z^8*x^9*y*s+41535*z^9*x^8*y*s+13845*z^10*x^7*y*s+8506*z^2*x^5*y^10+16873*z^8*x^4*y^10+25518*z^2*x^6*y^9+7568*z^8*x^5*y^9+25518*z^3*x^5*y^9+7568*z^9*x^4*y^9+25518*z^2*x^7*y^8+7568*z^8*x^6*y^8+7985*z^3*x^6*y^8+15136*z^9*x^5*y^8+25518*z^4*x^5*y^8+7568*z^10*x^4*y^8+8506*z^2*x^8*y^7+16873*z^8*x^7*y^7+25518*z^3*x^7*y^7+7568*z^9*x^6*y^7+25518*z^4*x^6*y^7+7568*z^10*x^5*y^7+8506*z^5*x^5*y^7+16873*z^11*x^4*y^7)*(26755*z^4*x^4*y*s^3+11768*x^3*s^2+27324*z^2*x^2*y^2*s+4017*z*x^3*y*s+42152*z^2*x*s+41200*z*x^4*y+14342*z^4*x^2*y+22750*z^2*x^2)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #9: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(29049*z^4*x*y^8*s^9+1045*z^4*x^2*y^7*s^9+1045*z^5*x*y^7*s^9+1045*z^4*x^3*y^6*s^9+2090*z^5*x^2*y^6*s^9+1045*z^6*x*y^6*s^9+29049*z^4*x^4*y^5*s^9+1045*z^5*x^3*y^5*s^9+1045*z^6*x^2*y^5*s^9+29049*z^7*x*y^5*s^9+16873*z^2*x^5*y^13*s^8+7568*z^2*x^6*y^12*s^8+7568*z^3*x^5*y^12*s^8+7568*z^2*x^7*y^11*s^8+15136*z^3*x^6*y^11*s^8+7568*z^4*x^5*y^11*s^8+16873*z^2*x^8*y^10*s^8+7568*z^3*x^7*y^10*s^8+7568*z^4*x^6*y^10*s^8+16873*z^5*x^5*y^10*s^8+19583*z^6*x^2*y^13*s^6+15698*z^6*x^3*y^12*s^6+15698*z^7*x^2*y^12*s^6+15698*z^6*x^4*y^11*s^6+31396*z^7*x^3*y^11*s^6+15698*z^8*x^2*y^11*s^6+19583*z^6*x^5*y^10*s^6+15698*z^7*x^4*y^10*s^6+15698*z^8*x^3*y^10*s^6+19583*z^9*x^2*y^10*s^6+41743*z^6*x^3*y^8*s^6+39127*z^6*x^4*y^7*s^6+39127*z^7*x^3*y^7*s^6+39127*z^6*x^5*y^6*s^6+35203*z^7*x^4*y^6*s^6+39127*z^8*x^3*y^6*s^6+41743*z^6*x^6*y^5*s^6+39127*z^7*x^5*y^5*s^6+39127*z^8*x^4*y^5*s^6+41743*z^9*x^3*y^5*s^6+24116*x^3*y^12*s^4+29297*x^4*y^11*s^4+29297*z*x^3*y^11*s^4+29297*x^5*y^10*s^4+15543*z*x^4*y^10*s^4+29297*z^2*x^3*y^10*s^4+24116*x^6*y^9*s^4+29297*z*x^5*y^9*s^4+29297*z^2*x^4*y^9*s^4+24116*z^3*x^3*y^9*s^4+13845*z^8*x^9*y^7*s^3+41535*z^8*x^10*y^6*s^3+41535*z^9*x^9*y^6*s^3+41535*z^8*x^11*y^5*s^3+40019*z^9*x^10*y^5*s^3+41535*z^10*x^9*y^5*s^3+13845*z^8*x^12*y^4*s^3+41535*z^9*x^11*y^4*s^3+41535*z^10*x^10*y^4*s^3+13845*z^11*x^9*y^4*s^3+8506*z^7*x^5*y^4*s^3+25518*z^7*x^6*y^3*s^3+25518*z^8*x^5*y^3*s^3+25518*z^7*x^7*y^2*s^3+7985*z^8*x^6*y^2*s^3+25518*z^9*x^5*y^2*s^3+8506*z^7*x^8*y*s^3+25518*z^8*x^7*y*s^3+25518*z^9*x^6*y*s^3+8506*z^10*x^5*y*s^3+39739*z^4*x^8*y^10*s^2+33115*z^4*x^9*y^9*s^2+33115*z^5*x^8*y^9*s^2+33115*z^4*x^10*y^8*s^2+23179*z^5*x^9*y^8*s^2+33115*z^6*x^8*y^8*s^2+21629*z^5*x^7*y^8*s^2+39739*z^4*x^11*y^7*s^2+33115*z^5*x^10*y^7*s^2+33115*z^6*x^9*y^7*s^2+39739*z^7*x^8*y^7*s^2+21836*z^5*x^8*y^7*s^2+21836*z^6*x^7*y^7*s^2+21836*z^5*x^9*y^6*s^2+621*z^6*x^8*y^6*s^2+21836*z^7*x^7*y^6*s^2+21629*z^5*x^10*y^5*s^2+21836*z^6*x^9*y^5*s^2+21836*z^7*x^8*y^5*s^2+21629*z^8*x^7*y^5*s^2)*(14342*z*x*y^4*s^3+41200*z^2*x^3*y^2*s^3+26755*z*x^3*y^2*s^3+4017*z^4*y*s^3+22750*x^3*y^3*s^2+42152*z^2*x^2*s^2+27324*z*y^2*s+40575*x^4*y*s+14244*z^3*x^2)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#10: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(24116*z^3*x^5*y^4*s^3+29297*z^3*x^6*y^3*s^3+29297*z^4*x^5*y^3*s^3+29297*z^3*x^7*y^2*s^3+15543*z^4*x^6*y^2*s^3+29297*z^5*x^5*y^2*s^3+24116*z^3*x^8*y*s^3+29297*z^4*x^7*y*s^3+29297*z^5*x^6*y*s^3+24116*z^6*x^5*y*s^3+41743*z^2*x^5*y^8*s^2+39127*z^2*x^6*y^7*s^2+39127*z^3*x^5*y^7*s^2+39127*z^2*x^7*y^6*s^2+35203*z^3*x^6*y^6*s^2+39127*z^4*x^5*y^6*s^2+41743*z^2*x^8*y^5*s^2+39127*z^3*x^7*y^5*s^2+39127*z^4*x^6*y^5*s^2+41743*z^5*x^5*y^5*s^2+8506*x^5*y^5*s^2+25518*x^6*y^4*s^2+25518*z*x^5*y^4*s^2+19583*z^4*x^4*y^4*s^2+25518*x^7*y^3*s^2+7985*z*x^6*y^3*s^2+15698*z^4*x^5*y^3*s^2+25518*z^2*x^5*y^3*s^2+15698*z^5*x^4*y^3*s^2+8506*x^8*y^2*s^2+25518*z*x^7*y^2*s^2+15698*z^4*x^6*y^2*s^2+25518*z^2*x^6*y^2*s^2+31396*z^5*x^5*y^2*s^2+8506*z^3*x^5*y^2*s^2+15698*z^6*x^4*y^2*s^2+19583*z^4*x^7*y*s^2+15698*z^5*x^6*y*s^2+15698*z^6*x^5*y*s^2+19583*z^7*x^4*y*s^2)*(22750*x*y+14244*y+18359*z^2)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#11: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(26755*z^6*x^5*y^3*s^7+12889*z^5*x^4*y^4*s^6+40575*y^2*s^6+22750*z^3*s^6+14244*z*x^3*y*s^4+41200*z^7*y^2*s^3+38991*z^7*x^7*y^4*s^2+42152*z^7*y^3*s^2+27324*z^6*y^2*s^2+33099*z^3*x^2*s^2+14342*z^4*x^5*y^3*s+9788*z*x^6*y^2*s+4620*z^6*x^3*y^6+4017*z^2*x^3*y^4)*(6157*z^14*x^5*y^15*s^14+18471*z^14*x^6*y^14*s^14+18471*z^15*x^5*y^14*s^14+18471*z^14*x^7*y^13*s^14+36942*z^15*x^6*y^13*s^14+18471*z^16*x^5*y^13*s^14+6157*z^14*x^8*y^12*s^14+18471*z^15*x^7*y^12*s^14+18471*z^16*x^6*y^12*s^14+6157*z^17*x^5*y^12*s^14+24116*z^3*x^3*y^6*s^13+29297*z^3*x^4*y^5*s^13+29297*z^4*x^3*y^5*s^13+29297*z^3*x^5*y^4*s^13+15543*z^4*x^4*y^4*s^13+29297*z^5*x^3*y^4*s^13+24116*z^3*x^6*y^3*s^13+29297*z^4*x^5*y^3*s^13+29297*z^5*x^4*y^3*s^13+24116*z^6*x^3*y^3*s^13+39739*z^6*x^15*y^8*s^12+33115*z^6*x^16*y^7*s^12+33115*z^7*x^15*y^7*s^12+33115*z^6*x^17*y^6*s^12+23179*z^7*x^16*y^6*s^12+33115*z^8*x^15*y^6*s^12+39739*z^6*x^18*y^5*s^12+33115*z^7*x^17*y^5*s^12+33115*z^8*x^16*y^5*s^12+39739*z^9*x^15*y^5*s^12+29049*z^12*x^8*y^4*s^10+1045*z^12*x^9*y^3*s^10+1045*z^13*x^8*y^3*s^10+1045*z^12*x^10*y^2*s^10+2090*z^13*x^9*y^2*s^10+1045*z^14*x^8*y^2*s^10+29049*z^12*x^11*y*s^10+1045*z^13*x^10*y*s^10+1045*z^14*x^9*y*s^10+29049*z^15*x^8*y*s^10+19583*z^10*x*y^16*s^9+15698*z^10*x^2*y^15*s^9+15698*z^11*x*y^15*s^9+15698*z^10*x^3*y^14*s^9+31396*z^11*x^2*y^14*s^9+15698*z^12*x*y^14*s^9+19583*z^10*x^4*y^13*s^9+15698*z^11*x^3*y^13*s^9+15698*z^12*x^2*y^13*s^9+19583*z^13*x*y^13*s^9+40031*z^6*x^4*y^14*s^8+33991*z^6*x^5*y^13*s^8+33991*z^7*x^4*y^13*s^8+33991*z^6*x^6*y^12*s^8+24931*z^7*x^5*y^12*s^8+33991*z^8*x^4*y^12*s^8+40031*z^6*x^7*y^11*s^8+33991*z^7*x^6*y^11*s^8+33991*z^8*x^5*y^11*s^8+40031*z^9*x^4*y^11*s^8+8506*z^6*x*y^15*s^7+25518*z^6*x^2*y^14*s^7+25518*z^7*x*y^14*s^7+25518*z^6*x^3*y^13*s^7+7985*z^7*x^2*y^13*s^7+25518*z^8*x*y^13*s^7+8506*z^6*x^4*y^12*s^7+25518*z^7*x^3*y^12*s^7+25518*z^8*x^2*y^12*s^7+8506*z^9*x*y^12*s^7+41743*z^12*x^2*y^10*s^7+39127*z^12*x^3*y^9*s^7+39127*z^13*x^2*y^9*s^7+39127*z^12*x^4*y^8*s^7+35203*z^13*x^3*y^8*s^7+39127*z^14*x^2*y^8*s^7+41743*z^12*x^5*y^7*s^7+39127*z^13*x^4*y^7*s^7+39127*z^14*x^3*y^7*s^7+41743*z^15*x^2*y^7*s^7+21629*z^10*x^8*y^8*s^6+9048*z^10*x^5*y^8*s^6+21836*z^10*x^9*y^7*s^6+21836*z^11*x^8*y^7*s^6+27144*z^10*x^6*y^7*s^6+27144*z^11*x^5*y^7*s^6+21836*z^10*x^10*y^6*s^6+621*z^11*x^9*y^6*s^6+21836*z^12*x^8*y^6*s^6+27144*z^10*x^7*y^6*s^6+11237*z^11*x^6*y^6*s^6+27144*z^12*x^5*y^6*s^6+21629*z^10*x^11*y^5*s^6+21836*z^11*x^10*y^5*s^6+21836*z^12*x^9*y^5*s^6+21629*z^13*x^8*y^5*s^6+9048*z^10*x^8*y^5*s^6+27144*z^11*x^7*y^5*s^6+27144*z^12*x^6*y^5*s^6+9048*z^13*x^5*y^5*s^6+16680*z^8*x^5*y^18*s^5+6989*z^8*x^6*y^17*s^5+6989*z^9*x^5*y^17*s^5+6989*z^8*x^7*y^16*s^5+13978*z^9*x^6*y^16*s^5+6989*z^10*x^5*y^16*s^5+16680*z^8*x^8*y^15*s^5+6989*z^9*x^7*y^15*s^5+6989*z^10*x^6*y^15*s^5+16680*z^11*x^5*y^15*s^5+16873*z^10*x^15*y^9*s^4+7568*z^10*x^16*y^8*s^4+7568*z^11*x^15*y^8*s^4+7568*z^10*x^17*y^7*s^4+15136*z^11*x^16*y^7*s^4+7568*z^12*x^15*y^7*s^4+16873*z^10*x^18*y^6*s^4+7568*z^11*x^17*y^6*s^4+7568*z^12*x^16*y^6*s^4+16873*z^13*x^15*y^6*s^4+13845*x^7*y^11*s+41535*x^8*y^10*s+41535*z*x^7*y^10*s+41535*x^9*y^9*s+40019*z*x^8*y^9*s+41535*z^2*x^7*y^9*s+13845*x^10*y^8*s+41535*z*x^9*y^8*s+41535*z^2*x^8*y^8*s+13845*z^3*x^7*y^8*s+37652*x*y^12+26854*x^2*y^11+26854*z*x*y^11+26854*x^3*y^10+10657*z*x^2*y^10+26854*z^2*x*y^10+37652*x^4*y^9+26854*z*x^3*y^9+26854*z^2*x^2*y^9+37652*z^3*x*y^9)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#12: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, 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vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#13: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, 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vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#14: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, 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vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#15: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, 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vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#16: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(8506*z^12*x^11*y^10*t^12+25518*z^12*x^12*y^9*t^12+25518*z^13*x^11*y^9*t^12+25518*z^12*x^13*y^8*t^12+7985*z^13*x^12*y^8*t^12+25518*z^14*x^11*y^8*t^12+8506*z^12*x^14*y^7*t^12+25518*z^13*x^13*y^7*t^12+25518*z^14*x^12*y^7*t^12+8506*z^15*x^11*y^7*t^12+6157*z^4*x^6*y^10*s^9*t^10+18471*z^4*x^7*y^9*s^9*t^10+18471*z^5*x^6*y^9*s^9*t^10+18471*z^4*x^8*y^8*s^9*t^10+36942*z^5*x^7*y^8*s^9*t^10+18471*z^6*x^6*y^8*s^9*t^10+6157*z^4*x^9*y^7*s^9*t^10+18471*z^5*x^8*y^7*s^9*t^10+18471*z^6*x^7*y^7*s^9*t^10+6157*z^7*x^6*y^7*s^9*t^10+16680*z^12*x^4*y^16*s^6*t^10+6989*z^12*x^5*y^15*s^6*t^10+6989*z^13*x^4*y^15*s^6*t^10+6989*z^12*x^6*y^14*s^6*t^10+13978*z^13*x^5*y^14*s^6*t^10+6989*z^14*x^4*y^14*s^6*t^10+16680*z^12*x^7*y^13*s^6*t^10+6989*z^13*x^6*y^13*s^6*t^10+6989*z^14*x^5*y^13*s^6*t^10+16680*z^15*x^4*y^13*s^6*t^10+41743*z*x^6*y^10*s^6*t^10+39127*z*x^7*y^9*s^6*t^10+39127*z^2*x^6*y^9*s^6*t^10+39127*z*x^8*y^8*s^6*t^10+35203*z^2*x^7*y^8*s^6*t^10+39127*z^3*x^6*y^8*s^6*t^10+41743*z*x^9*y^7*s^6*t^10+39127*z^2*x^8*y^7*s^6*t^10+39127*z^3*x^7*y^7*s^6*t^10+41743*z^4*x^6*y^7*s^6*t^10+16873*z^11*x^3*y^5*s^10*t^6+7568*z^11*x^4*y^4*s^10*t^6+7568*z^12*x^3*y^4*s^10*t^6+7568*z^11*x^5*y^3*s^10*t^6+15136*z^12*x^4*y^3*s^10*t^6+7568*z^13*x^3*y^3*s^10*t^6+16873*z^11*x^6*y^2*s^10*t^6+7568*z^12*x^5*y^2*s^10*t^6+7568*z^13*x^4*y^2*s^10*t^6+16873*z^14*x^3*y^2*s^10*t^6+21629*z^10*x^7*y^8*t^5+21836*z^10*x^8*y^7*t^5+21836*z^11*x^7*y^7*t^5+21836*z^10*x^9*y^6*t^5+621*z^11*x^8*y^6*t^5+21836*z^12*x^7*y^6*t^5+21629*z^10*x^10*y^5*t^5+21836*z^11*x^9*y^5*t^5+21836*z^12*x^8*y^5*t^5+21629*z^13*x^7*y^5*t^5+13845*z^10*x*y^13*s^4*t^4+41535*z^10*x^2*y^12*s^4*t^4+41535*z^11*x*y^12*s^4*t^4+41535*z^10*x^3*y^11*s^4*t^4+40019*z^11*x^2*y^11*s^4*t^4+41535*z^12*x*y^11*s^4*t^4+13845*z^10*x^4*y^10*s^4*t^4+41535*z^11*x^3*y^10*s^4*t^4+41535*z^12*x^2*y^10*s^4*t^4+13845*z^13*x*y^10*s^4*t^4+19583*z^8*x*y^12*s^11*t^3+15698*z^8*x^2*y^11*s^11*t^3+15698*z^9*x*y^11*s^11*t^3+15698*z^8*x^3*y^10*s^11*t^3+31396*z^9*x^2*y^10*s^11*t^3+15698*z^10*x*y^10*s^11*t^3+19583*z^8*x^4*y^9*s^11*t^3+15698*z^9*x^3*y^9*s^11*t^3+15698*z^10*x^2*y^9*s^11*t^3+19583*z^11*x*y^9*s^11*t^3+37652*z*x^12*y^16*s^7*t+26854*z*x^13*y^15*s^7*t+26854*z^2*x^12*y^15*s^7*t+26854*z*x^14*y^14*s^7*t+10657*z^2*x^13*y^14*s^7*t+26854*z^3*x^12*y^14*s^7*t+37652*z*x^15*y^13*s^7*t+26854*z^2*x^14*y^13*s^7*t+26854*z^3*x^13*y^13*s^7*t+37652*z^4*x^12*y^13*s^7*t+24116*z^3*x*y^4*s^9+29297*z^3*x^2*y^3*s^9+29297*z^4*x*y^3*s^9+29297*z^3*x^3*y^2*s^9+15543*z^4*x^2*y^2*s^9+29297*z^5*x*y^2*s^9+24116*z^3*x^4*y*s^9+29297*z^4*x^3*y*s^9+29297*z^5*x^2*y*s^9+24116*z^6*x*y*s^9+29049*z^4*x^12*y^10*s^6+1045*z^4*x^13*y^9*s^6+1045*z^5*x^12*y^9*s^6+1045*z^4*x^14*y^8*s^6+2090*z^5*x^13*y^8*s^6+1045*z^6*x^12*y^8*s^6+29049*z^4*x^15*y^7*s^6+1045*z^5*x^14*y^7*s^6+1045*z^6*x^13*y^7*s^6+29049*z^7*x^12*y^7*s^6+39739*z^3*x^7*y^9*s+33115*z^3*x^8*y^8*s+33115*z^4*x^7*y^8*s+33115*z^3*x^9*y^7*s+23179*z^4*x^8*y^7*s+33115*z^5*x^7*y^7*s+39739*z^3*x^10*y^6*s+33115*z^4*x^9*y^6*s+33115*z^5*x^8*y^6*s+39739*z^6*x^7*y^6*s)*(4017*x^3*y^2*s^6*u^5+42152*z*x^2*y*s^6*u^5+26755*z^5*x^5*y*s^5*u^5+41200*z^5*x^4*y^5*s^2*u^5+14342*z*x^3*s^2*u^5+14244*z^4*x*y^3*u^5+12889*z^4*x^4*y^6*u^3+27324*x*y^6*s^6*u^2+40575*z^3*x^2*y^5*s^2*u+33099*x*s*u+22750*z^5*x^4*y^2*s+38991*z^2*x^3)*(31261*z*x*y^3+26706*z^2*x*y^2+2238*z*x*y^2+6828*z*y^2+20135*z^2*x^2*y+41530*z*x^2*y+7431*z^2*x*y+27*z^2*y+14865*x^2+12602*z^3*x+10797*z*x)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#17: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(19583*z^5*x^14*y^22*s^5*t^17+15698*z^5*x^15*y^21*s^5*t^17+15698*z^6*x^14*y^21*s^5*t^17+15698*z^5*x^16*y^20*s^5*t^17+31396*z^6*x^15*y^20*s^5*t^17+15698*z^7*x^14*y^20*s^5*t^17+19583*z^5*x^17*y^19*s^5*t^17+15698*z^6*x^16*y^19*s^5*t^17+15698*z^7*x^15*y^19*s^5*t^17+19583*z^8*x^14*y^19*s^5*t^17+13845*x^9*y^10*s^2*t^17+41535*x^10*y^9*s^2*t^17+41535*z*x^9*y^9*s^2*t^17+41535*x^11*y^8*s^2*t^17+40019*z*x^10*y^8*s^2*t^17+41535*z^2*x^9*y^8*s^2*t^17+13845*x^12*y^7*s^2*t^17+41535*z*x^11*y^7*s^2*t^17+41535*z^2*x^10*y^7*s^2*t^17+13845*z^3*x^9*y^7*s^2*t^17+16873*z*x^17*y^5*s^16*t^16+7568*z*x^18*y^4*s^16*t^16+7568*z^2*x^17*y^4*s^16*t^16+7568*z*x^19*y^3*s^16*t^16+15136*z^2*x^18*y^3*s^16*t^16+7568*z^3*x^17*y^3*s^16*t^16+16873*z*x^20*y^2*s^16*t^16+7568*z^2*x^19*y^2*s^16*t^16+7568*z^3*x^18*y^2*s^16*t^16+16873*z^4*x^17*y^2*s^16*t^16+16680*x^14*y^6*s^9*t^16+6989*x^15*y^5*s^9*t^16+6989*z*x^14*y^5*s^9*t^16+6989*x^16*y^4*s^9*t^16+13978*z*x^15*y^4*s^9*t^16+6989*z^2*x^14*y^4*s^9*t^16+16680*x^17*y^3*s^9*t^16+6989*z*x^16*y^3*s^9*t^16+6989*z^2*x^15*y^3*s^9*t^16+16680*z^3*x^14*y^3*s^9*t^16+15656*z^9*x^12*y^9*s^12*t^15+3917*z^9*x^13*y^8*s^12*t^15+3917*z^10*x^12*y^8*s^12*t^15+3917*z^9*x^14*y^7*s^12*t^15+7834*z^10*x^13*y^7*s^12*t^15+3917*z^11*x^12*y^7*s^12*t^15+15656*z^9*x^15*y^6*s^12*t^15+3917*z^10*x^14*y^6*s^12*t^15+3917*z^11*x^13*y^6*s^12*t^15+15656*z^12*x^12*y^6*s^12*t^15+41743*z*x^17*y^9*s^13*t^13+39127*z*x^18*y^8*s^13*t^13+39127*z^2*x^17*y^8*s^13*t^13+39127*z*x^19*y^7*s^13*t^13+35203*z^2*x^18*y^7*s^13*t^13+39127*z^3*x^17*y^7*s^13*t^13+41743*z*x^20*y^6*s^13*t^13+39127*z^2*x^19*y^6*s^13*t^13+39127*z^3*x^18*y^6*s^13*t^13+41743*z^4*x^17*y^6*s^13*t^13+40031*x^16*y^4*t^10+33991*x^17*y^3*t^10+33991*z*x^16*y^3*t^10+33991*x^18*y^2*t^10+24931*z*x^17*y^2*t^10+33991*z^2*x^16*y^2*t^10+40031*x^19*y*t^10+33991*z*x^18*y*t^10+33991*z^2*x^17*y*t^10+40031*z^3*x^16*y*t^10+24116*z*x^12*y^22*s^16*t^9+29297*z*x^13*y^21*s^16*t^9+29297*z^2*x^12*y^21*s^16*t^9+29297*z*x^14*y^20*s^16*t^9+15543*z^2*x^13*y^20*s^16*t^9+29297*z^3*x^12*y^20*s^16*t^9+24116*z*x^15*y^19*s^16*t^9+29297*z^2*x^14*y^19*s^16*t^9+29297*z^3*x^13*y^19*s^16*t^9+24116*z^4*x^12*y^19*s^16*t^9+37652*z^12*x^7*y^14*s^4*t^9+26854*z^12*x^8*y^13*s^4*t^9+26854*z^13*x^7*y^13*s^4*t^9+26854*z^12*x^9*y^12*s^4*t^9+10657*z^13*x^8*y^12*s^4*t^9+26854*z^14*x^7*y^12*s^4*t^9+37652*z^12*x^10*y^11*s^4*t^9+26854*z^13*x^9*y^11*s^4*t^9+26854*z^14*x^8*y^11*s^4*t^9+37652*z^15*x^7*y^11*s^4*t^9+39739*z^3*x*y^12*s^12*t^7+33115*z^3*x^2*y^11*s^12*t^7+33115*z^4*x*y^11*s^12*t^7+33115*z^3*x^3*y^10*s^12*t^7+23179*z^4*x^2*y^10*s^12*t^7+33115*z^5*x*y^10*s^12*t^7+39739*z^3*x^4*y^9*s^12*t^7+33115*z^4*x^3*y^9*s^12*t^7+33115*z^5*x^2*y^9*s^12*t^7+39739*z^6*x*y^9*s^12*t^7+29049*z^9*x^10*y^16*s^9*t^7+1045*z^9*x^11*y^15*s^9*t^7+1045*z^10*x^10*y^15*s^9*t^7+1045*z^9*x^12*y^14*s^9*t^7+2090*z^10*x^11*y^14*s^9*t^7+1045*z^11*x^10*y^14*s^9*t^7+29049*z^9*x^13*y^13*s^9*t^7+1045*z^10*x^12*y^13*s^9*t^7+1045*z^11*x^11*y^13*s^9*t^7+29049*z^12*x^10*y^13*s^9*t^7+9048*z^17*x*y^22*s^2*t^7+27144*z^17*x^2*y^21*s^2*t^7+27144*z^18*x*y^21*s^2*t^7+27144*z^17*x^3*y^20*s^2*t^7+11237*z^18*x^2*y^20*s^2*t^7+27144*z^19*x*y^20*s^2*t^7+9048*z^17*x^4*y^19*s^2*t^7+27144*z^18*x^3*y^19*s^2*t^7+27144*z^19*x^2*y^19*s^2*t^7+9048*z^20*x*y^19*s^2*t^7+27198*z^18*x^9*y^12*s^8*t^6+38543*z^18*x^10*y^11*s^8*t^6+38543*z^19*x^9*y^11*s^8*t^6+38543*z^18*x^11*y^10*s^8*t^6+34035*z^19*x^10*y^10*s^8*t^6+38543*z^20*x^9*y^10*s^8*t^6+27198*z^18*x^12*y^9*s^8*t^6+38543*z^19*x^11*y^9*s^8*t^6+38543*z^20*x^10*y^9*s^8*t^6+27198*z^21*x^9*y^9*s^8*t^6+40487*z^14*x^19*y^4*s^6*t^6+35359*z^14*x^20*y^3*s^6*t^6+35359*z^15*x^19*y^3*s^6*t^6+35359*z^14*x^21*y^2*s^6*t^6+27667*z^15*x^20*y^2*s^6*t^6+35359*z^16*x^19*y^2*s^6*t^6+40487*z^14*x^22*y*s^6*t^6+35359*z^15*x^21*y*s^6*t^6+35359*z^16*x^20*y*s^6*t^6+40487*z^17*x^19*y*s^6*t^6+6157*z^8*x^14*y^10*s^17*t^4+18471*z^8*x^15*y^9*s^17*t^4+18471*z^9*x^14*y^9*s^17*t^4+18471*z^8*x^16*y^8*s^17*t^4+36942*z^9*x^15*y^8*s^17*t^4+18471*z^10*x^14*y^8*s^17*t^4+6157*z^8*x^17*y^7*s^17*t^4+18471*z^9*x^16*y^7*s^17*t^4+18471*z^10*x^15*y^7*s^17*t^4+6157*z^11*x^14*y^7*s^17*t^4+8506*z^14*x^5*y^14*s^2*t^4+25518*z^14*x^6*y^13*s^2*t^4+25518*z^15*x^5*y^13*s^2*t^4+25518*z^14*x^7*y^12*s^2*t^4+7985*z^15*x^6*y^12*s^2*t^4+25518*z^16*x^5*y^12*s^2*t^4+8506*z^14*x^8*y^11*s^2*t^4+25518*z^15*x^7*y^11*s^2*t^4+25518*z^16*x^6*y^11*s^2*t^4+8506*z^17*x^5*y^11*s^2*t^4+12608*z^5*x^11*y^5*s^2*t^4+37824*z^5*x^12*y^4*s^2*t^4+37824*z^6*x^11*y^4*s^2*t^4+37824*z^5*x^13*y^3*s^2*t^4+32597*z^6*x^12*y^3*s^2*t^4+37824*z^7*x^11*y^3*s^2*t^4+12608*z^5*x^14*y^2*s^2*t^4+37824*z^6*x^13*y^2*s^2*t^4+37824*z^7*x^12*y^2*s^2*t^4+12608*z^8*x^11*y^2*s^2*t^4+21629*z^17*x^4*y^18*s^13*t^3+21836*z^17*x^5*y^17*s^13*t^3+21836*z^18*x^4*y^17*s^13*t^3+21836*z^17*x^6*y^16*s^13*t^3+621*z^18*x^5*y^16*s^13*t^3+21836*z^19*x^4*y^16*s^13*t^3+21629*z^17*x^7*y^15*s^13*t^3+21836*z^18*x^6*y^15*s^13*t^3+21836*z^19*x^5*y^15*s^13*t^3+21629*z^20*x^4*y^15*s^13*t^3)*(14244*z^3*x^6*s^7*u^8+33099*z^6*x^6*s^2*u^8+40832*z^3*x*y^6*s^2*u^7+27324*z*x^8*y^7*s*u^7+12889*z^2*x^2*y^3*s*u^7+26775*z^7*x^3*y^7*s^8*u^6+14342*z^5*x^2*y^5*s^7*u^6+24361*z^3*y^4*s^2*u^4+38991*z^6*x^3*y^4*s^8*u^3+41200*z^3*x^3*y^2*s^4*u^3+9788*z^4*x^4*y^7*s*u^3+26755*z^6*x^5*y^7*u^3+4017*z*x^9*y^5*u^3+31443*z^7*x^6*y*u^3+4620*x^4*y^4*s^8*u^2+42152*z^4*x^6*y^6*s^7*u^2+40575*z^6*x^6*y^6*s^3*u^2+22750*z^3*x^8*y^5*s^5*u)*(23880*z^4*x^3*y^4+15611*z^2*x^2*y^4+24361*z*x^2*y^4+12602*z^4*y^3+20135*z^2*y^3+12135*z^2*x^4*y^2+31261*z^4*x^3*y^2+2238*z^2*x^3*y^2+26706*z^3*x^3*y+7431*z^3*x^2*y+10797*z^3*x*y+41530*z*x*y+14865*x*y+5596*z*y+27*y+31987*z^2*x^3+6828*z^3)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#18: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(13845*z^10*x^11*y^13*s^11+41535*z^10*x^12*y^12*s^11+41535*z^11*x^11*y^12*s^11+41535*z^10*x^13*y^11*s^11+40019*z^11*x^12*y^11*s^11+41535*z^12*x^11*y^11*s^11+13845*z^10*x^14*y^10*s^11+41535*z^11*x^13*y^10*s^11+41535*z^12*x^12*y^10*s^11+13845*z^13*x^11*y^10*s^11+41743*z^8*x^8*y^11*s^9+39127*z^8*x^9*y^10*s^9+39127*z^9*x^8*y^10*s^9+39127*z^8*x^10*y^9*s^9+35203*z^9*x^9*y^9*s^9+39127*z^10*x^8*y^9*s^9+41743*z^8*x^11*y^8*s^9+39127*z^9*x^10*y^8*s^9+39127*z^10*x^9*y^8*s^9+41743*z^11*x^8*y^8*s^9+16873*z^4*x^7*y^5*s^9+7568*z^4*x^8*y^4*s^9+7568*z^5*x^7*y^4*s^9+7568*z^4*x^9*y^3*s^9+15136*z^5*x^8*y^3*s^9+7568*z^6*x^7*y^3*s^9+16873*z^4*x^10*y^2*s^9+7568*z^5*x^9*y^2*s^9+7568*z^6*x^8*y^2*s^9+16873*z^7*x^7*y^2*s^9+29049*z^5*x*y^9*s^8+1045*z^5*x^2*y^8*s^8+1045*z^6*x*y^8*s^8+19583*z*x*y^8*s^8+1045*z^5*x^3*y^7*s^8+2090*z^6*x^2*y^7*s^8+15698*z*x^2*y^7*s^8+1045*z^7*x*y^7*s^8+15698*z^2*x*y^7*s^8+29049*z^5*x^4*y^6*s^8+1045*z^6*x^3*y^6*s^8+15698*z*x^3*y^6*s^8+1045*z^7*x^2*y^6*s^8+31396*z^2*x^2*y^6*s^8+29049*z^8*x*y^6*s^8+15698*z^3*x*y^6*s^8+19583*z*x^4*y^5*s^8+15698*z^2*x^3*y^5*s^8+15698*z^3*x^2*y^5*s^8+19583*z^4*x*y^5*s^8+16680*z^5*x^2*y^10*s^2+24116*z^4*x^9*y^9*s^2+6989*z^5*x^3*y^9*s^2+6989*z^6*x^2*y^9*s^2+8506*x^2*y^9*s^2+29297*z^4*x^10*y^8*s^2+29297*z^5*x^9*y^8*s^2+6989*z^5*x^4*y^8*s^2+13978*z^6*x^3*y^8*s^2+25518*x^3*y^8*s^2+6989*z^7*x^2*y^8*s^2+25518*z*x^2*y^8*s^2+29297*z^4*x^11*y^7*s^2+15543*z^5*x^10*y^7*s^2+29297*z^6*x^9*y^7*s^2+16680*z^5*x^5*y^7*s^2+6989*z^6*x^4*y^7*s^2+25518*x^4*y^7*s^2+6989*z^7*x^3*y^7*s^2+7985*z*x^3*y^7*s^2+16680*z^8*x^2*y^7*s^2+25518*z^2*x^2*y^7*s^2+24116*z^4*x^12*y^6*s^2+29297*z^5*x^11*y^6*s^2+29297*z^6*x^10*y^6*s^2+24116*z^7*x^9*y^6*s^2+8506*x^5*y^6*s^2+25518*z*x^4*y^6*s^2+25518*z^2*x^3*y^6*s^2+8506*z^3*x^2*y^6*s^2+39739*z^8*x^5*y^5*s^2+33115*z^8*x^6*y^4*s^2+33115*z^9*x^5*y^4*s^2+33115*z^8*x^7*y^3*s^2+23179*z^9*x^6*y^3*s^2+33115*z^10*x^5*y^3*s^2+39739*z^8*x^8*y^2*s^2+33115*z^9*x^7*y^2*s^2+33115*z^10*x^6*y^2*s^2+39739*z^11*x^5*y^2*s^2+37652*z*x^4*y^10*s+26854*z*x^5*y^9*s+26854*z^2*x^4*y^9*s+26854*z*x^6*y^8*s+10657*z^2*x^5*y^8*s+26854*z^3*x^4*y^8*s+37652*z*x^7*y^7*s+26854*z^2*x^6*y^7*s+26854*z^3*x^5*y^7*s+37652*z^4*x^4*y^7*s+21629*z^7*x^7*y^5+21836*z^7*x^8*y^4+21836*z^8*x^7*y^4+21836*z^7*x^9*y^3+621*z^8*x^8*y^3+21836*z^9*x^7*y^3+21629*z^7*x^10*y^2+21836*z^8*x^9*y^2+21836*z^9*x^8*y^2+21629*z^10*x^7*y^2)*(40575*z*y^4*s^5+14244*z^2*x^2*y^2*s^5+26755*z*x^5*y^4*s^4+41200*z^3*x^5*y*s^4+42152*x*y^4*s^3+22750*z^5*x^5*y^4*s^2+14342*z^4*y^4*s+33099*z^2*x^2*y^5+27324*z^5*x^2*y^4+12889*x^4*y^3+4017*z^2*x^5)*(30008*z^2*x^2*y^2+13070*x^2*y^2+41530*z*x*y^2+12602*x*y^2+31261*z^2*y^2+5951*z^2*x*y+2238*z*y+10797*z*x^2+6828*z^2)", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#19: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "2036*(x)^2*(y)^2*(y^55+x^27)*("
            "x^26*y^27+22502*x^25*y^27+26129*x^24*y^27+29216*x^23*y^27+34834*x^22*y^27+16100*"
            "x^21*y^27+31667*x^20*y^27+1906*x^19*y^27+22185*x^18*y^27+16677*x^17*y^27+41095*x"
            "^16*y^27+15123*x^15*y^27+14491*x^14*y^27+5571*x^13*y^27+11913*x^12*y^27+21343*x^"
            "11*y^27+32816*x^10*y^27+29154*x^9*y^27+22111*x^8*y^27+30147*x^7*y^27+1673*x^6*y^"
            "27+30810*x^5*y^27+16497*x^4*y^27+39798*x^3*y^27+4394*x^2*y^27+31502*x*y^27+17487"
            "*y^27+3083*x^26*y^26+7510*x^25*y^26+3246*x^24*y^26+11984*x^23*y^26+25636*x^22*y^"
            "26+15923*x^21*y^26+542*x^20*y^26+29538*x^19*y^26+26552*x^18*y^26+24474*x^17*y^26"
            "+4843*x^16*y^26+6664*x^15*y^26+30375*x^14*y^26+25269*x^13*y^26+21676*x^12*y^26+"
            "33967*x^11*y^26+16441*x^10*y^26+16777*x^9*y^26+32168*x^8*y^26+31612*x^7*y^26+"
            "30808*x^6*y^26+11273*x^5*y^26+19942*x^4*y^26+6182*x^3*y^26+40996*x^2*y^26+31624*"
            "x*y^26+63*y^26+20355*x^25*y^25+31973*x^24*y^25+22971*x^23*y^25+27166*x^22*y^25+"
            "36472*x^21*y^25+35782*x^20*y^25+24678*x^19*y^25+30016*x^18*y^25+4607*x^17*y^25+"
            "41947*x^16*y^25+31198*x^15*y^25+16004*x^14*y^25+10632*x^13*y^25+18864*x^12*y^25+"
            "17038*x^11*y^25+25214*x^10*y^25+38756*x^9*y^25+7046*x^8*y^25+19978*x^7*y^25+1376"
            "*x^6*y^25+41415*x^5*y^25+10386*x^4*y^25+19065*x^3*y^25+17113*x^2*y^25+16281*x*y^"
            "25+13858*y^25+5491*x^24*y^24+38472*x^23*y^24+35769*x^22*y^24+15694*x^21*y^24+"
            "33392*x^20*y^24+1146*x^19*y^24+18050*x^18*y^24+12125*x^17*y^24+29102*x^16*y^24+"
            "38748*x^15*y^24+42753*x^14*y^24+6698*x^13*y^24+28160*x^12*y^24+21070*x^11*y^24+"
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            "25840*x^5*y^24+25086*x^4*y^24+23775*x^3*y^24+21227*x^2*y^24+27888*x*y^24+23515*y"
            "^24+19459*x^23*y^23+36602*x^22*y^23+208*x^21*y^23+12857*x^20*y^23+12486*x^19*y^"
            "23+22368*x^18*y^23+2551*x^17*y^23+34235*x^16*y^23+14390*x^15*y^23+5882*x^14*y^23"
            "+33538*x^13*y^23+42285*x^12*y^23+8690*x^11*y^23+30406*x^10*y^23+27320*x^9*y^23+"
            "16879*x^8*y^23+3731*x^7*y^23+38196*x^6*y^23+42159*x^5*y^23+8240*x^4*y^23+31121*x"
            "^3*y^23+35093*x^2*y^23+14738*x*y^23+30083*y^23+7123*x^22*y^22+6572*x^21*y^22+"
            "8982*x^20*y^22+39575*x^19*y^22+28765*x^18*y^22+20952*x^17*y^22+8540*x^16*y^22+"
            "2594*x^15*y^22+30737*x^14*y^22+18260*x^13*y^22+19933*x^12*y^22+8099*x^11*y^22+"
            "29843*x^10*y^22+37536*x^9*y^22+13943*x^8*y^22+1823*x^7*y^22+4331*x^6*y^22+11682*"
            "x^5*y^22+28595*x^4*y^22+26253*x^3*y^22+21766*x^2*y^22+33032*x*y^22+18506*y^22+"
            "19732*x^21*y^21+29287*x^20*y^21+33671*x^19*y^21+20636*x^18*y^21+9129*x^17*y^21+"
            "668*x^16*y^21+12392*x^15*y^21+18209*x^14*y^21+42027*x^13*y^21+10723*x^12*y^21+"
            "40606*x^11*y^21+21152*x^10*y^21+28922*x^9*y^21+42902*x^8*y^21+23603*x^7*y^21+"
            "10788*x^6*y^21+40011*x^5*y^21+25015*x^4*y^21+16784*x^3*y^21+7690*x^2*y^21+14090*"
            "x*y^21+29510*y^21+36673*x^20*y^20+18226*x^19*y^20+9351*x^18*y^20+38118*x^17*y^20"
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            "35417*x^6*y^20+21835*x^5*y^20+25685*x^4*y^20+3166*x^3*y^20+2542*x^2*y^20+30766*x"
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            "*x^5*y^19+3525*x^4*y^19+31818*x^3*y^19+26751*x^2*y^19+8791*x*y^19+35017*y^19+"
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            "*y^17+15743*x^4*y^17+20952*x^3*y^17+31064*x^2*y^17+3319*x*y^17+8408*y^17+12350*x"
            "^16*y^16+14714*x^15*y^16+38478*x^14*y^16+18118*x^13*y^16+38544*x^12*y^16+17870*x"
            "^11*y^16+39355*x^10*y^16+5319*x^9*y^16+27260*x^8*y^16+30534*x^7*y^16+14619*x^6*y"
            "^16+29338*x^5*y^16+18577*x^4*y^16+5699*x^3*y^16+25077*x^2*y^16+24985*x*y^16+"
            "41762*y^16+14161*x^15*y^15+24818*x^14*y^15+2538*x^13*y^15+5694*x^12*y^15+36797*x"
            "^11*y^15+11305*x^10*y^15+266*x^9*y^15+34388*x^8*y^15+36472*x^7*y^15+35287*x^6*y^"
            "15+36112*x^5*y^15+39364*x^4*y^15+31042*x^3*y^15+24571*x^2*y^15+22543*x*y^15+"
            "33036*y^15+3046*x^14*y^14+42428*x^13*y^14+14398*x^12*y^14+8792*x^11*y^14+16394*x"
            "^10*y^14+24593*x^9*y^14+29104*x^8*y^14+29172*x^7*y^14+4617*x^6*y^14+16803*x^5*y^"
            "14+38129*x^4*y^14+25100*x^3*y^14+14495*x^2*y^14+16736*x*y^14+5132*y^14+23113*x^"
            "13*y^13+40441*x^12*y^13+38512*x^11*y^13+8600*x^10*y^13+24449*x^9*y^13+11553*x^8*"
            "y^13+20503*x^7*y^13+22462*x^6*y^13+28782*x^5*y^13+32654*x^4*y^13+8182*x^3*y^13+"
            "18208*x^2*y^13+31145*x*y^13+9877*y^13+33439*x^12*y^12+37259*x^11*y^12+3230*x^10*"
            "y^12+7924*x^9*y^12+21484*x^8*y^12+5249*x^7*y^12+28816*x^6*y^12+36832*x^5*y^12+"
            "31614*x^4*y^12+30336*x^3*y^12+28977*x^2*y^12+33842*x*y^12+27712*y^12+11480*x^11*"
            "y^11+42024*x^10*y^11+40159*x^9*y^11+4656*x^8*y^11+13905*x^7*y^11+32675*x^6*y^11+"
            "15182*x^5*y^11+33276*x^4*y^11+40271*x^3*y^11+33097*x^2*y^11+5450*x*y^11+16545*y^"
            "11+4444*x^10*y^10+29813*x^9*y^10+30598*x^8*y^10+19265*x^7*y^10+27733*x^6*y^10+"
            "12332*x^5*y^10+4041*x^4*y^10+17994*x^3*y^10+37626*x^2*y^10+18017*x*y^10+41985*y^"
            "10+18161*x^9*y^9+37064*x^8*y^9+38753*x^7*y^9+30823*x^6*y^9+12976*x^5*y^9+27156*x"
            "^4*y^9+22754*x^3*y^9+5457*x^2*y^9+37393*x*y^9+18558*y^9+5969*x^8*y^8+8372*x^7*y^"
            "8+5034*x^6*y^8+39726*x^5*y^8+23781*x^4*y^8+18050*x^3*y^8+38810*x^2*y^8+22187*x*y"
            "^8+33578*y^8+6247*x^7*y^7+31686*x^6*y^7+17254*x^5*y^7+13842*x^4*y^7+5880*x^3*y^7"
            "+7517*x^2*y^7+29126*x*y^7+25434*y^7+42719*x^6*y^6+37537*x^5*y^6+7149*x^4*y^6+"
            "6926*x^3*y^6+30890*x^2*y^6+33056*x*y^6+35681*y^6+3125*x^5*y^5+33376*x^4*y^5+"
            "24387*x^3*y^5+23868*x^2*y^5+35142*x*y^5+5143*y^5+40391*x^4*y^4+657*x^3*y^4+30346"
            "*x^2*y^4+30607*x*y^4+9432*y^4+31094*x^3*y^3+25871*x^2*y^3+29619*x*y^3+40511*y^3+"
            "747*x^2*y^2+23254*x*y^2+39636*y^2+17316*x*y+3609*y+8994)*("
            "x^53*y^53+18147*x^52*y^53+43022*x^51*y^53+40085*x^50*y^53+28237*x^49*y^53+30609*"
            "x^48*y^53+24338*x^47*y^53+34438*x^46*y^53+17995*x^45*y^53+11285*x^44*y^53+23365*"
            "x^43*y^53+34068*x^42*y^53+36580*x^41*y^53+18333*x^40*y^53+28343*x^39*y^53+10219*"
            "x^38*y^53+41928*x^37*y^53+14530*x^36*y^53+8169*x^35*y^53+10664*x^34*y^53+28456*x"
            "^33*y^53+40045*x^32*y^53+36063*x^31*y^53+40317*x^30*y^53+3892*x^29*y^53+18610*x^"
            "28*y^53+42334*x^27*y^53+11181*x^26*y^53+14187*x^25*y^53+19731*x^24*y^53+15756*x^"
            "23*y^53+9842*x^22*y^53+12573*x^21*y^53+3119*x^20*y^53+21843*x^19*y^53+2270*x^18*"
            "y^53+25305*x^17*y^53+38419*x^16*y^53+23222*x^15*y^53+29693*x^14*y^53+37556*x^13*"
            "y^53+16413*x^12*y^53+4411*x^11*y^53+27575*x^10*y^53+15150*x^9*y^53+6260*x^8*y^53"
            "+27551*x^7*y^53+25107*x^6*y^53+32932*x^5*y^53+38353*x^4*y^53+9*x^3*y^53+5495*x^2"
            "*y^53+10261*x*y^53+31369*y^53+5547*x^52*y^52+30032*x^51*y^52+284*x^50*y^52+14830"
            "*x^49*y^52+22659*x^48*y^52+10626*x^47*y^52+22237*x^46*y^52+38950*x^45*y^52+40954"
            "*x^44*y^52+9413*x^43*y^52+21276*x^42*y^52+31506*x^41*y^52+9404*x^40*y^52+10655*x"
            "^39*y^52+10743*x^38*y^52+4401*x^37*y^52+32372*x^36*y^52+15524*x^35*y^52+28427*x^"
            "34*y^52+26855*x^33*y^52+530*x^32*y^52+28907*x^31*y^52+4066*x^30*y^52+20491*x^29*"
            "y^52+2863*x^28*y^52+12779*x^27*y^52+40264*x^26*y^52+27587*x^25*y^52+2553*x^24*y^"
            "52+6016*x^23*y^52+2097*x^22*y^52+39570*x^21*y^52+34283*x^20*y^52+17879*x^19*y^52"
            "+17020*x^18*y^52+40538*x^17*y^52+25557*x^16*y^52+39049*x^15*y^52+12516*x^14*y^52"
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            "+40498*x^27*y^36+14302*x^26*y^36+14742*x^25*y^36+18012*x^24*y^36+20790*x^23*y^36"
            "+1636*x^22*y^36+40195*x^21*y^36+40702*x^20*y^36+22371*x^19*y^36+734*x^18*y^36+"
            "23769*x^17*y^36+38645*x^16*y^36+9831*x^15*y^36+5784*x^14*y^36+14661*x^13*y^36+"
            "33984*x^12*y^36+24153*x^11*y^36+2695*x^10*y^36+34150*x^9*y^36+1475*x^8*y^36+"
            "38333*x^7*y^36+860*x^6*y^36+15027*x^5*y^36+19228*x^4*y^36+41952*x^3*y^36+8466*x^"
            "2*y^36+13330*x*y^36+31877*y^36+22137*x^35*y^35+26911*x^34*y^35+3921*x^33*y^35+"
            "30649*x^32*y^35+36112*x^31*y^35+26462*x^30*y^35+18707*x^29*y^35+24132*x^28*y^35+"
            "21788*x^27*y^35+5384*x^26*y^35+31009*x^25*y^35+7078*x^24*y^35+32871*x^23*y^35+"
            "40177*x^22*y^35+34384*x^21*y^35+34362*x^20*y^35+14431*x^19*y^35+17033*x^18*y^35+"
            "37687*x^17*y^35+15153*x^16*y^35+4993*x^15*y^35+7366*x^14*y^35+32202*x^13*y^35+"
            "4531*x^12*y^35+21959*x^11*y^35+10107*x^10*y^35+6830*x^9*y^35+37430*x^8*y^35+"
            "26724*x^7*y^35+29060*x^6*y^35+3962*x^5*y^35+27723*x^4*y^35+42152*x^3*y^35+39841*"
            "x^2*y^35+2484*x*y^35+13587*y^35+466*x^34*y^34+31954*x^33*y^34+30801*x^32*y^34+"
            "8936*x^31*y^34+5640*x^30*y^34+2119*x^29*y^34+38507*x^28*y^34+2916*x^27*y^34+"
            "34260*x^26*y^34+9889*x^25*y^34+17037*x^24*y^34+41972*x^23*y^34+24788*x^22*y^34+"
            "42342*x^21*y^34+12153*x^20*y^34+31900*x^19*y^34+32150*x^18*y^34+353*x^17*y^34+"
            "13211*x^16*y^34+26356*x^15*y^34+22476*x^14*y^34+37191*x^13*y^34+7778*x^12*y^34+"
            "22556*x^11*y^34+5996*x^10*y^34+29641*x^9*y^34+41363*x^8*y^34+30009*x^7*y^34+"
            "22934*x^6*y^34+17759*x^5*y^34+25741*x^4*y^34+6401*x^3*y^34+36544*x^2*y^34+171*x*"
            "y^34+37979*y^34+15313*x^33*y^33+31019*x^32*y^33+17942*x^31*y^33+38375*x^30*y^33+"
            "41049*x^29*y^33+35567*x^28*y^33+17522*x^27*y^33+11884*x^26*y^33+38114*x^25*y^33+"
            "40939*x^24*y^33+37389*x^23*y^33+24852*x^22*y^33+18117*x^21*y^33+10444*x^20*y^33+"
            "4656*x^19*y^33+12501*x^18*y^33+14323*x^17*y^33+12415*x^16*y^33+27799*x^15*y^33+"
            "18562*x^14*y^33+2589*x^13*y^33+27567*x^12*y^33+16865*x^11*y^33+13922*x^10*y^33+"
            "33463*x^9*y^33+17112*x^8*y^33+11243*x^7*y^33+2891*x^6*y^33+32742*x^5*y^33+42456*"
            "x^4*y^33+2235*x^3*y^33+4800*x^2*y^33+40847*x*y^33+5399*y^33+14186*x^32*y^32+"
            "14885*x^31*y^32+41339*x^30*y^32+40829*x^29*y^32+3576*x^28*y^32+38477*x^27*y^32+"
            "8225*x^26*y^32+35327*x^25*y^32+27970*x^24*y^32+14944*x^23*y^32+15098*x^22*y^32+"
            "41185*x^21*y^32+38742*x^20*y^32+22816*x^19*y^32+18799*x^18*y^32+3939*x^17*y^32+"
            "5267*x^16*y^32+3223*x^15*y^32+18224*x^14*y^32+24474*x^13*y^32+12038*x^12*y^32+"
            "21401*x^11*y^32+7939*x^10*y^32+5051*x^9*y^32+25616*x^8*y^32+32954*x^7*y^32+11947"
            "*x^6*y^32+31059*x^5*y^32+9947*x^4*y^32+16462*x^3*y^32+5660*x^2*y^32+4926*x*y^32+"
            "31371*y^32+24980*x^31*y^31+10429*x^30*y^31+29583*x^29*y^31+25670*x^28*y^31+30325"
            "*x^27*y^31+32707*x^26*y^31+4554*x^25*y^31+4824*x^24*y^31+14157*x^23*y^31+2480*x^"
            "22*y^31+26739*x^21*y^31+33788*x^20*y^31+33490*x^19*y^31+13645*x^18*y^31+31574*x^"
            "17*y^31+24871*x^16*y^31+23525*x^15*y^31+25346*x^14*y^31+11150*x^13*y^31+5930*x^"
            "12*y^31+17831*x^11*y^31+25316*x^10*y^31+11055*x^9*y^31+40769*x^8*y^31+39049*x^7*"
            "y^31+6889*x^6*y^31+29402*x^5*y^31+17396*x^4*y^31+26425*x^3*y^31+29573*x^2*y^31+"
            "3048*x*y^31+2061*y^31+25688*x^30*y^30+10729*x^29*y^30+10281*x^28*y^30+2873*x^27*"
            "y^30+7957*x^26*y^30+6862*x^25*y^30+12421*x^24*y^30+22267*x^23*y^30+18530*x^22*y^"
            "30+31964*x^21*y^30+2708*x^20*y^30+29289*x^19*y^30+22534*x^18*y^30+16556*x^17*y^"
            "30+16343*x^16*y^30+24490*x^15*y^30+51*x^14*y^30+13138*x^13*y^30+37878*x^12*y^30+"
            "32475*x^11*y^30+9118*x^10*y^30+23428*x^9*y^30+36826*x^8*y^30+17404*x^7*y^30+6387"
            "*x^6*y^30+39313*x^5*y^30+11115*x^4*y^30+11112*x^3*y^30+39059*x^2*y^30+36567*x*y^"
            "30+3244*y^30+10546*x^29*y^29+40279*x^28*y^29+8192*x^27*y^29+31945*x^26*y^29+8036"
            "*x^25*y^29+7530*x^24*y^29+15828*x^23*y^29+39078*x^22*y^29+22083*x^21*y^29+546*x^"
            "20*y^29+32237*x^19*y^29+15428*x^18*y^29+26710*x^17*y^29+36279*x^16*y^29+493*x^15"
            "*y^29+41644*x^14*y^29+17588*x^13*y^29+37437*x^12*y^29+8873*x^11*y^29+15706*x^10*"
            "y^29+12130*x^9*y^29+10474*x^8*y^29+8157*x^7*y^29+21743*x^6*y^29+5867*x^5*y^29+"
            "36624*x^4*y^29+29051*x^3*y^29+39496*x^2*y^29+11651*x*y^29+21746*y^29+30819*x^28*"
            "y^28+38218*x^27*y^28+33643*x^26*y^28+19933*x^25*y^28+870*x^24*y^28+36669*x^23*y^"
            "28+7497*x^22*y^28+25876*x^21*y^28+1074*x^20*y^28+4707*x^19*y^28+41663*x^18*y^28+"
            "14372*x^17*y^28+31723*x^16*y^28+26094*x^15*y^28+31950*x^14*y^28+7385*x^13*y^28+"
            "34842*x^12*y^28+39265*x^11*y^28+32953*x^10*y^28+3198*x^9*y^28+37808*x^8*y^28+"
            "31909*x^7*y^28+21768*x^6*y^28+15479*x^5*y^28+1803*x^4*y^28+26958*x^3*y^28+21801*"
            "x^2*y^28+24033*x*y^28+22473*y^28+7589*x^27*y^27+4367*x^26*y^27+20572*x^25*y^27+"
            "39710*x^24*y^27+8092*x^23*y^27+25234*x^22*y^27+13211*x^21*y^27+11362*x^20*y^27+"
            "18325*x^19*y^27+12979*x^18*y^27+41351*x^17*y^27+37022*x^16*y^27+34113*x^15*y^27+"
            "10288*x^14*y^27+36321*x^13*y^27+14218*x^12*y^27+37248*x^11*y^27+40101*x^10*y^27+"
            "28540*x^9*y^27+34804*x^8*y^27+9105*x^7*y^27+6660*x^6*y^27+11207*x^5*y^27+22855*x"
            "^4*y^27+40243*x^3*y^27+41892*x^2*y^27+24857*x*y^27+28411*y^27+14847*x^26*y^26+"
            "32215*x^25*y^26+5485*x^24*y^26+4576*x^23*y^26+39245*x^22*y^26+24182*x^21*y^26+"
            "35561*x^20*y^26+5451*x^19*y^26+7418*x^18*y^26+20800*x^17*y^26+17607*x^16*y^26+"
            "12464*x^15*y^26+31957*x^14*y^26+40498*x^13*y^26+13706*x^12*y^26+14134*x^11*y^26+"
            "11623*x^10*y^26+31906*x^9*y^26+9172*x^8*y^26+9678*x^7*y^26+42073*x^6*y^26+21816*"
            "x^5*y^26+9905*x^4*y^26+21512*x^3*y^26+9958*x^2*y^26+37130*x*y^26+18774*y^26+"
            "17837*x^25*y^25+10493*x^24*y^25+27604*x^23*y^25+24967*x^22*y^25+26075*x^21*y^25+"
            "2779*x^20*y^25+14140*x^19*y^25+23181*x^18*y^25+38206*x^17*y^25+12289*x^16*y^25+"
            "17597*x^15*y^25+21453*x^14*y^25+2796*x^13*y^25+10492*x^12*y^25+35608*x^11*y^25+"
            "11080*x^10*y^25+39047*x^9*y^25+11198*x^8*y^25+40664*x^7*y^25+8717*x^6*y^25+2104*"
            "x^5*y^25+6462*x^4*y^25+945*x^3*y^25+4611*x^2*y^25+39716*x*y^25+20421*y^25+25068*"
            "x^24*y^24+37094*x^23*y^24+35791*x^22*y^24+28613*x^21*y^24+16768*x^20*y^24+17224*"
            "x^19*y^24+27360*x^18*y^24+40916*x^17*y^24+2844*x^16*y^24+35191*x^15*y^24+34962*x"
            "^14*y^24+10333*x^13*y^24+34628*x^12*y^24+28608*x^11*y^24+10876*x^10*y^24+23038*x"
            "^9*y^24+33994*x^8*y^24+30860*x^7*y^24+34744*x^6*y^24+14153*x^5*y^24+41239*x^4*y^"
            "24+25076*x^3*y^24+777*x^2*y^24+13338*x*y^24+32637*y^24+38843*x^23*y^23+26338*x^"
            "22*y^23+27918*x^21*y^23+24043*x^20*y^23+1599*x^19*y^23+19731*x^18*y^23+20154*x^"
            "17*y^23+6166*x^16*y^23+20721*x^15*y^23+21112*x^14*y^23+8898*x^13*y^23+38361*x^12"
            "*y^23+37265*x^11*y^23+10091*x^10*y^23+12686*x^9*y^23+13789*x^8*y^23+28215*x^7*y^"
            "23+27651*x^6*y^23+40100*x^5*y^23+28948*x^4*y^23+5650*x^3*y^23+39475*x^2*y^23+"
            "17889*x*y^23+12555*y^23+13632*x^22*y^22+5483*x^21*y^22+10809*x^20*y^22+5154*x^19"
            "*y^22+41705*x^18*y^22+36857*x^17*y^22+23493*x^16*y^22+9585*x^15*y^22+13620*x^14*"
            "y^22+39469*x^13*y^22+37948*x^12*y^22+27976*x^11*y^22+32606*x^10*y^22+10965*x^9*y"
            "^22+36314*x^8*y^22+11877*x^7*y^22+32677*x^6*y^22+30277*x^5*y^22+36275*x^4*y^22+"
            "20185*x^3*y^22+40116*x^2*y^22+7415*x*y^22+30632*y^22+24620*x^21*y^21+21412*x^20*"
            "y^21+830*x^19*y^21+10356*x^18*y^21+872*x^17*y^21+20256*x^16*y^21+15659*x^15*y^21"
            "+19693*x^14*y^21+15424*x^13*y^21+19893*x^12*y^21+5829*x^11*y^21+7319*x^10*y^21+"
            "24476*x^9*y^21+20773*x^8*y^21+289*x^7*y^21+33710*x^6*y^21+574*x^5*y^21+38775*x^4"
            "*y^21+9839*x^3*y^21+15268*x^2*y^21+27786*x*y^21+28450*y^21+20398*x^20*y^20+9431*"
            "x^19*y^20+1699*x^18*y^20+33355*x^17*y^20+2995*x^16*y^20+31114*x^15*y^20+9506*x^"
            "14*y^20+9026*x^13*y^20+30973*x^12*y^20+4232*x^11*y^20+16928*x^10*y^20+10179*x^9*"
            "y^20+4292*x^8*y^20+10780*x^7*y^20+40092*x^6*y^20+5546*x^5*y^20+32176*x^4*y^20+"
            "14031*x^3*y^20+13990*x^2*y^20+26324*x*y^20+40218*y^20+11114*x^19*y^19+30557*x^18"
            "*y^19+9052*x^17*y^19+25115*x^16*y^19+35097*x^15*y^19+8092*x^14*y^19+15130*x^13*y"
            "^19+8004*x^12*y^19+1495*x^11*y^19+27644*x^10*y^19+24610*x^9*y^19+38821*x^8*y^19+"
            "19648*x^7*y^19+26314*x^6*y^19+23318*x^5*y^19+38165*x^4*y^19+33175*x^3*y^19+3381*"
            "x^2*y^19+28440*x*y^19+207*y^19+21053*x^18*y^18+35057*x^17*y^18+8238*x^16*y^18+"
            "33300*x^15*y^18+12824*x^14*y^18+37945*x^13*y^18+33900*x^12*y^18+13601*x^11*y^18+"
            "29959*x^10*y^18+12862*x^9*y^18+21879*x^8*y^18+31948*x^7*y^18+3099*x^6*y^18+15507"
            "*x^5*y^18+5575*x^4*y^18+26045*x^3*y^18+29592*x^2*y^18+10936*x*y^18+15772*y^18+"
            "713*x^17*y^17+32307*x^16*y^17+41726*x^15*y^17+20941*x^14*y^17+28478*x^13*y^17+"
            "18581*x^12*y^17+22577*x^11*y^17+30966*x^10*y^17+8170*x^9*y^17+17869*x^8*y^17+"
            "6744*x^7*y^17+27888*x^6*y^17+32051*x^5*y^17+30810*x^4*y^17+14707*x^3*y^17+38126*"
            "x^2*y^17+33384*x*y^17+23882*y^17+6803*x^16*y^16+30672*x^15*y^16+26280*x^14*y^16+"
            "14477*x^13*y^16+24391*x^12*y^16+11327*x^11*y^16+2705*x^10*y^16+36645*x^9*y^16+"
            "11888*x^8*y^16+32246*x^7*y^16+13623*x^6*y^16+37322*x^5*y^16+38519*x^4*y^16+31179"
            "*x^3*y^16+34600*x^2*y^16+29376*x*y^16+2154*y^16+26152*x^15*y^15+13168*x^14*y^15+"
            "13683*x^13*y^15+4036*x^12*y^15+20263*x^11*y^15+31133*x^10*y^15+26193*x^9*y^15+"
            "6801*x^8*y^15+11653*x^7*y^15+9040*x^6*y^15+36600*x^5*y^15+946*x^4*y^15+4003*x^3*"
            "y^15+9589*x^2*y^15+412*x*y^15+2699*y^15+5480*x^14*y^14+11828*x^13*y^14+10150*x^"
            "12*y^14+26355*x^11*y^14+10819*x^10*y^14+35113*x^9*y^14+15186*x^8*y^14+20558*x^7*"
            "y^14+19722*x^6*y^14+40367*x^5*y^14+5224*x^4*y^14+1701*x^3*y^14+38742*x^2*y^14+"
            "13350*x*y^14+265*y^14+34787*x^13*y^13+23544*x^12*y^13+31722*x^11*y^13+14630*x^10"
            "*y^13+30193*x^9*y^13+34518*x^8*y^13+37652*x^7*y^13+8454*x^6*y^13+23095*x^5*y^13+"
            "40459*x^4*y^13+19841*x^3*y^13+20398*x^2*y^13+33334*x*y^13+41152*y^13+29967*x^12*"
            "y^12+9540*x^11*y^12+36229*x^10*y^12+1670*x^9*y^12+21738*x^8*y^12+744*x^7*y^12+"
            "40820*x^6*y^12+6388*x^5*y^12+14649*x^4*y^12+27675*x^3*y^12+23094*x^2*y^12+15691*"
            "x*y^12+4379*y^12+6842*x^11*y^11+42560*x^10*y^11+31197*x^9*y^11+34010*x^8*y^11+"
            "25953*x^7*y^11+32134*x^6*y^11+33154*x^5*y^11+27110*x^4*y^11+17143*x^3*y^11+20511"
            "*x^2*y^11+38503*x*y^11+17850*y^11+4599*x^10*y^10+22849*x^9*y^10+25896*x^8*y^10+"
            "25981*x^7*y^10+13940*x^6*y^10+34610*x^5*y^10+20111*x^4*y^10+37706*x^3*y^10+39941"
            "*x^2*y^10+22020*x*y^10+30878*y^10+42108*x^9*y^9+39357*x^8*y^9+5802*x^7*y^9+11442"
            "*x^6*y^9+22956*x^5*y^9+13392*x^4*y^9+10615*x^3*y^9+9505*x^2*y^9+2863*x*y^9+33798"
            "*y^9+5939*x^8*y^8+36618*x^7*y^8+13200*x^6*y^8+8689*x^5*y^8+518*x^4*y^8+4026*x^3*"
            "y^8+16640*x^2*y^8+39860*x*y^8+32154*y^8+11496*x^7*y^7+3970*x^6*y^7+16147*x^5*y^7"
            "+42885*x^4*y^7+22064*x^3*y^7+32153*x^2*y^7+39290*x*y^7+37882*y^7+20742*x^6*y^6+"
            "16687*x^5*y^6+1890*x^4*y^6+38545*x^3*y^6+35135*x^2*y^6+16921*x*y^6+42898*y^6+"
            "40861*x^5*y^5+16687*x^4*y^5+22548*x^3*y^5+9752*x^2*y^5+9003*x*y^5+14580*y^5+"
            "18136*x^4*y^4+21446*x^3*y^4+12391*x^2*y^4+29220*x*y^4+13920*y^4+4960*x^3*y^3+"
            "2851*x^2*y^3+1789*x*y^3+33655*y^3+28567*x^2*y^2+24794*x*y^2+19511*y^2+25676*x*y+"
            "8828*y+18760)*(y^55+x*y+x^55)*(y+11888*x)*(y+31162*x)*(y^2+11695*x*y+43050*x^2)*"
            "(y^2+x^2)*(y^2+31356*x*y+43050*x^2)*(y^27+x^55)*(y+x)^2", vars, ctx);
        time = check_omega(16, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        nmod_mpoly_clear(a, ctx);
        nmod_mpoly_ctx_clear(ctx);
    }
    flint_printf("total_time: %wd\n", total_time);


    flint_printf("\n------ characteristic 2 ------\n");
    total_time = 0;
    {
        nmod_mpoly_ctx_t ctx;
        nmod_mpoly_t a;
        const char * vars[] = {"x","y","z","u","v","w","s","t"};

        nmod_mpoly_ctx_init(ctx, 8, ORD_LEX, 2);
        nmod_mpoly_init(a, ctx);

        flint_printf(" #1: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^2*x^2*y^12*s^8+z^2*x^3*y^11*s^8+z^3*x^2*y^11*s^8+z^2*x^4*y^10*s^8+z^4*x^2*y^10*s^8+z^2*x^5*y^9*s^8+z^3*x^4*y^9*s^8+z^4*x^3*y^9*s^8+z^5*x^2*y^9*s^8+z^8*x^11*y^7*s^2+z^8*x^8*y^7*s^2+z^8*x^12*y^6*s^2+z^9*x^11*y^6*s^2+z^8*x^9*y^6*s^2+z^9*x^8*y^6*s^2+z^8*x^13*y^5*s^2+z^10*x^11*y^5*s^2+z^8*x^10*y^5*s^2+z^10*x^8*y^5*s^2+z^8*x^14*y^4*s^2+z^9*x^13*y^4*s^2+z^10*x^12*y^4*s^2+z^11*x^11*y^4*s^2+z^8*x^11*y^4*s^2+z^9*x^10*y^4*s^2+z^10*x^9*y^4*s^2+z^11*x^8*y^4*s^2+z^8*x^3*y^6+z^8*x^4*y^5+z^9*x^3*y^5+z^8*x^5*y^4+z^10*x^3*y^4+z^8*x^6*y^3+z^9*x^5*y^3+z^10*x^4*y^3+z^11*x^3*y^3)*(z^3*x^3*y^4*s^5+z^3*x*y^3*s^5+z^5*x^2*y^3*s^4+z^3*x^4*s^2+z^2*x^3*y^4*s+y)", vars, ctx);
        time = check_omega(12, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #2: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^9*x^7*y^14*s^11+z^9*x^8*y^13*s^11+z^10*x^7*y^13*s^11+z^9*x^9*y^12*s^11+z^11*x^7*y^12*s^11+z^9*x^10*y^11*s^11+z^10*x^9*y^11*s^11+z^11*x^8*y^11*s^11+z^12*x^7*y^11*s^11+z^3*x^10*y^4*s^11+z^3*x^11*y^3*s^11+z^4*x^10*y^3*s^11+z^3*x^12*y^2*s^11+z^5*x^10*y^2*s^11+z^3*x^13*y*s^11+z^4*x^12*y*s^11+z^5*x^11*y*s^11+z^6*x^10*y*s^11+z^6*x^5*y^7*s^9+z^6*x^6*y^6*s^9+z^7*x^5*y^6*s^9+z^6*x^7*y^5*s^9+z^8*x^5*y^5*s^9+z^6*x^8*y^4*s^9+z^7*x^7*y^4*s^9+z^8*x^6*y^4*s^9+z^9*x^5*y^4*s^9+z^11*x^13*y^4*s^3+z^11*x^14*y^3*s^3+z^12*x^13*y^3*s^3+z^11*x^15*y^2*s^3+z^13*x^13*y^2*s^3+z^11*x^16*y*s^3+z^12*x^15*y*s^3+z^13*x^14*y*s^3+z^14*x^13*y*s^3+z^5*x^6*y^15*s^2+z^5*x^7*y^14*s^2+z^6*x^6*y^14*s^2+z^5*x^8*y^13*s^2+z^7*x^6*y^13*s^2+z^5*x^9*y^12*s^2+z^6*x^8*y^12*s^2+z^7*x^7*y^12*s^2+z^8*x^6*y^12*s^2)*(z^3*y^5*s^6+z*x^5*y*s^5+z^3*y^6*s^4+z^2*x*y*s^4+z^5*x^2*s^3+z*y^5*s^2+z^3*x^3*y^2*s^2)", vars, ctx);
        time = check_omega(19, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #3: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z*x^3*y^5*s^5+z^4*x^4*y^5*s^4+y*s^4+z*x^4*y^3*s^3+z^3*x*y^3*s+z^3*y*s)*(z^3*x^4*y^12*s^11+z^3*x^5*y^11*s^11+z^4*x^4*y^11*s^11+z^3*x^6*y^10*s^11+z^5*x^4*y^10*s^11+z^3*x^7*y^9*s^11+z^4*x^6*y^9*s^11+z^5*x^5*y^9*s^11+z^6*x^4*y^9*s^11+z^7*x^5*y^13*s^9+z^7*x^6*y^12*s^9+z^8*x^5*y^12*s^9+z^7*x^7*y^11*s^9+z^9*x^5*y^11*s^9+z^7*x^8*y^10*s^9+z^8*x^7*y^10*s^9+z^9*x^6*y^10*s^9+z^10*x^5*y^10*s^9+z^4*x^9*y^12+z^2*x^8*y^12+z^4*x^10*y^11+z^5*x^9*y^11+z^2*x^9*y^11+z^3*x^8*y^11+z^4*x^11*y^10+z^2*x^10*y^10+z^6*x^9*y^10+z^4*x^8*y^10+z^4*x^12*y^9+z^5*x^11*y^9+z^2*x^11*y^9+z^6*x^10*y^9+z^3*x^10*y^9+z^7*x^9*y^9+z^4*x^9*y^9+z^5*x^8*y^9)", vars, ctx);
        time = check_omega(22, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #4: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^9*x^9*y^17*s^16+z^9*x^10*y^16*s^16+z^10*x^9*y^16*s^16+z^9*x^11*y^15*s^16+z^11*x^9*y^15*s^16+z^9*x^12*y^14*s^16+z^10*x^11*y^14*s^16+z^11*x^10*y^14*s^16+z^12*x^9*y^14*s^16+z^15*x^16*y^7*s^15+z^15*x^17*y^6*s^15+z^16*x^16*y^6*s^15+z^15*x^18*y^5*s^15+z^17*x^16*y^5*s^15+z^15*x^19*y^4*s^15+z^16*x^18*y^4*s^15+z^17*x^17*y^4*s^15+z^18*x^16*y^4*s^15+z^14*x^12*y^12*s^12+z^14*x^13*y^11*s^12+z^15*x^12*y^11*s^12+z^14*x^14*y^10*s^12+z^16*x^12*y^10*s^12+z^14*x^15*y^9*s^12+z^15*x^14*y^9*s^12+z^16*x^13*y^9*s^12+z^17*x^12*y^9*s^12+z^16*x^12*y^20*s^11+z^16*x^13*y^19*s^11+z^17*x^12*y^19*s^11+z^16*x^14*y^18*s^11+z^18*x^12*y^18*s^11+z^16*x^15*y^17*s^11+z^17*x^14*y^17*s^11+z^18*x^13*y^17*s^11+z^19*x^12*y^17*s^11+z^7*x^7*y^18*s^6+z^7*x^8*y^17*s^6+z^8*x^7*y^17*s^6+z^7*x^9*y^16*s^6+z^9*x^7*y^16*s^6+z^7*x^10*y^15*s^6+z^8*x^9*y^15*s^6+z^9*x^8*y^15*s^6+z^10*x^7*y^15*s^6+x^8*y^18*s^2+x^9*y^17*s^2+z*x^8*y^17*s^2+x^10*y^16*s^2+z^2*x^8*y^16*s^2+x^11*y^15*s^2+z*x^10*y^15*s^2+z^2*x^9*y^15*s^2+z^3*x^8*y^15*s^2)*(z^4*x^8*y^5*s^7+z^7*x^5*s^7+z^4*x^3*y^4*s^4+z^6*x*y^5*s^3+z^7*y^8*s+x^5*y^5*s+z^7*x^6*y^2*s)", vars, ctx);
        time = check_omega(19, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #5: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z*x^4*y*s^4+z^3*x^3*y*s^3+z*x^3*y*s^2+z*y*s+z^3*y^3)*(z^9*x^9*y^10*s^7+z^9*x^10*y^9*s^7+z^10*x^9*y^9*s^7+z^9*x^11*y^8*s^7+z^11*x^9*y^8*s^7+z^9*x^12*y^7*s^7+z^10*x^11*y^7*s^7+z^11*x^10*y^7*s^7+z^12*x^9*y^7*s^7+z*x^6*y^4*s^6+z*x^7*y^3*s^6+z^2*x^6*y^3*s^6+z*x^8*y^2*s^6+z^3*x^6*y^2*s^6+z*x^9*y*s^6+z^2*x^8*y*s^6+z^3*x^7*y*s^6+z^4*x^6*y*s^6+z^5*x^9*y^9*s^5+z^5*x^10*y^8*s^5+z^6*x^9*y^8*s^5+z^5*x^11*y^7*s^5+z^7*x^9*y^7*s^5+z^5*x^12*y^6*s^5+z^6*x^11*y^6*s^5+z^7*x^10*y^6*s^5+z^8*x^9*y^6*s^5)", vars, ctx);
        time = check_omega(20, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #6: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^3*x^6*y^7*s^5+z^3*x^7*y^6*s^5+z^4*x^6*y^6*s^5+z^3*x^8*y^5*s^5+z^5*x^6*y^5*s^5+z^5*x^5*y^5*s^5+z^3*x^9*y^4*s^5+z^4*x^8*y^4*s^5+z^5*x^7*y^4*s^5+z^6*x^6*y^4*s^5+z^5*x^6*y^4*s^5+z^6*x^5*y^4*s^5+z^5*x^7*y^3*s^5+z^7*x^5*y^3*s^5+z^5*x^8*y^2*s^5+z^6*x^7*y^2*s^5+z^7*x^6*y^2*s^5+z^8*x^5*y^2*s^5+x^4*y^9*s^4+x^5*y^8*s^4+z*x^4*y^8*s^4+x^6*y^7*s^4+z^5*x^4*y^7*s^4+z^2*x^4*y^7*s^4+z^2*x^3*y^7*s^4+x^7*y^6*s^4+z*x^6*y^6*s^4+z^5*x^5*y^6*s^4+z^2*x^5*y^6*s^4+z^6*x^4*y^6*s^4+z^3*x^4*y^6*s^4+z^2*x^4*y^6*s^4+z^3*x^3*y^6*s^4+z^5*x^6*y^5*s^4+z^2*x^5*y^5*s^4+z^7*x^4*y^5*s^4+z^4*x^3*y^5*s^4+z^5*x^7*y^4*s^4+z^6*x^6*y^4*s^4+z^2*x^6*y^4*s^4+z^7*x^5*y^4*s^4+z^3*x^5*y^4*s^4+z^8*x^4*y^4*s^4+z^4*x^4*y^4*s^4+z^5*x^3*y^4*s^4+z^2*x^2*y^9*s^3+z^2*x^3*y^8*s^3+z^3*x^2*y^8*s^3+z^2*x^4*y^7*s^3+z^4*x^2*y^7*s^3+z^2*x^5*y^6*s^3+z^3*x^4*y^6*s^3+z^4*x^3*y^6*s^3+z^5*x^2*y^6*s^3", vars, ctx);
        time = check_omega(12, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #7: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x^3*y^6*s^8+z^4*y^8*s^6+z^3*x^8*y^5*s^6+z^5*x^4*y^7*s^4+z^2*x^4*y^8*s^3+z^3*x^3*y^6*s^3+z^7*y^7*s)*(z^10*x^7*y^9*s^16+z^10*x^8*y^8*s^16+z^11*x^7*y^8*s^16+z^10*x^9*y^7*s^16+z^12*x^7*y^7*s^16+z^10*x^10*y^6*s^16+z^11*x^9*y^6*s^16+z^12*x^8*y^6*s^16+z^13*x^7*y^6*s^16+z*x^15*y^6*s^11+z*x^16*y^5*s^11+z^2*x^15*y^5*s^11+z*x^17*y^4*s^11+z^3*x^15*y^4*s^11+z*x^18*y^3*s^11+z^2*x^17*y^3*s^11+z^3*x^16*y^3*s^11+z^4*x^15*y^3*s^11+z^5*x^2*y^11*s^9+z^5*x^3*y^10*s^9+z^6*x^2*y^10*s^9+z^5*x^4*y^9*s^9+z^7*x^2*y^9*s^9+z^5*x^5*y^8*s^9+z^6*x^4*y^8*s^9+z^7*x^3*y^8*s^9+z^8*x^2*y^8*s^9+z^4*x^15*y^15*s^8+z^15*x^6*y^15*s^8+z^4*x^16*y^14*s^8+z^5*x^15*y^14*s^8+z^15*x^7*y^14*s^8+z^16*x^6*y^14*s^8+z^4*x^17*y^13*s^8+z^6*x^15*y^13*s^8+z^15*x^8*y^13*s^8+z^17*x^6*y^13*s^8+z^4*x^18*y^12*s^8+z^5*x^17*y^12*s^8+z^6*x^16*y^12*s^8+z^7*x^15*y^12*s^8+z^15*x^9*y^12*s^8+z^16*x^8*y^12*s^8+z^17*x^7*y^12*s^8+z^18*x^6*y^12*s^8+z^9*x^17*y^5*s^7+z^9*x^18*y^4*s^7+z^10*x^17*y^4*s^7+z^11*x^14*y^4*s^7+z^9*x^19*y^3*s^7+z^11*x^17*y^3*s^7+z^11*x^15*y^3*s^7+z^12*x^14*y^3*s^7+z^9*x^20*y^2*s^7+z^10*x^19*y^2*s^7+z^11*x^18*y^2*s^7+z^12*x^17*y^2*s^7+z^11*x^16*y^2*s^7+z^13*x^14*y^2*s^7+z^11*x^17*y*s^7+z^12*x^16*y*s^7+z^13*x^15*y*s^7+z^14*x^14*y*s^7)", vars, ctx);
        time = check_omega(24, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #8: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^5*x*y^8*s^5+z^5*x^2*y^7*s^5+z^6*x*y^7*s^5+z^5*x^3*y^6*s^5+z^7*x*y^6*s^5+z^5*x^4*y^5*s^5+z^6*x^3*y^5*s^5+z^7*x^2*y^5*s^5+z^8*x*y^5*s^5+z^4*x^2*y^6*s^4+z^4*x^3*y^5*s^4+z^5*x^2*y^5*s^4+z^4*x^4*y^4*s^4+z^6*x^2*y^4*s^4+z^4*x^5*y^3*s^4+z^5*x^4*y^3*s^4+z^6*x^3*y^3*s^4+z^7*x^2*y^3*s^4+z^4*x^3*y^6*s^3+z^4*x^4*y^5*s^3+z^5*x^3*y^5*s^3+z^4*x^5*y^4*s^3+z^6*x^3*y^4*s^3+z^4*x^6*y^3*s^3+z^5*x^5*y^3*s^3+z^6*x^4*y^3*s^3+z^7*x^3*y^3*s^3+z^2*x^4*y^9*s^2+z^2*x^5*y^8*s^2+z^3*x^4*y^8*s^2+z^2*x^6*y^7*s^2+z^4*x^4*y^7*s^2+z^2*x^7*y^6*s^2+z^3*x^6*y^6*s^2+z^4*x^5*y^6*s^2+z^5*x^4*y^6*s^2+z*x^5*y^7*s+z*x^6*y^6*s+z^2*x^5*y^6*s+z*x^7*y^5*s+z^3*x^5*y^5*s+z*x^8*y^4*s+z^2*x^7*y^4*s+z^3*x^6*y^4*s+z^4*x^5*y^4*s+z*x^6*y^7+z*x^7*y^6+z^2*x^6*y^6+z*x^8*y^5+z^3*x^6*y^5+z*x^9*y^4+z^2*x^8*y^4+z^3*x^7*y^4+z^4*x^6*y^4", vars, ctx);
        time = check_omega(10, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf(" #9: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x*y^10*s^9+z^5*x^2*y^9*s^9+z^6*x*y^9*s^9+z^5*x^3*y^8*s^9+z^7*x*y^8*s^9+z^5*x^4*y^7*s^9+z^6*x^3*y^7*s^9+z^7*x^2*y^7*s^9+z^8*x*y^7*s^9+z^9*x^8*y^15*s^7+z^9*x^9*y^14*s^7+z^10*x^8*y^14*s^7+z^9*x^10*y^13*s^7+z^11*x^8*y^13*s^7+z^9*x^11*y^12*s^7+z^10*x^10*y^12*s^7+z^11*x^9*y^12*s^7+z^12*x^8*y^12*s^7+x^6*y^6*s^3+x^7*y^5*s^3+z*x^6*y^5*s^3+x^8*y^4*s^3+z^2*x^6*y^4*s^3+x^9*y^3*s^3+z*x^8*y^3*s^3+z^2*x^7*y^3*s^3+z^3*x^6*y^3*s^3+z^4*x^10*y^14+z^4*x^11*y^13+z^5*x^10*y^13+z^4*x^12*y^12+z^6*x^10*y^12+z^4*x^13*y^11+z^5*x^12*y^11+z^6*x^11*y^11+z^7*x^10*y^11)*(z^3*x^3*y^4*s^5+z^5*x^4*y*s^4+z^4*x^2*y*s^4+z^5*x^5*y^2*s+z^4*x^3*s+x*y^2)", vars, ctx);
        time = check_omega(10, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#10: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^7*x^2*y^10*s^6+z^7*x^3*y^9*s^6+z^8*x^2*y^9*s^6+z^7*x^4*y^8*s^6+z^9*x^2*y^8*s^6+z^7*x^5*y^7*s^6+z^8*x^4*y^7*s^6+z^9*x^3*y^7*s^6+z^10*x^2*y^7*s^6+z^5*x^3*y^10*s^4+z^7*x^2*y^10*s^4+z^5*x^4*y^9*s^4+z^7*x^3*y^9*s^4+z^6*x^3*y^9*s^4+z^8*x^2*y^9*s^4+z^5*x^5*y^8*s^4+z^7*x^4*y^8*s^4+z^7*x^3*y^8*s^4+z^9*x^2*y^8*s^4+z^5*x^6*y^7*s^4+z^7*x^5*y^7*s^4+z^6*x^5*y^7*s^4+z^8*x^4*y^7*s^4+z^7*x^4*y^7*s^4+z^9*x^3*y^7*s^4+z^8*x^3*y^7*s^4+z^10*x^2*y^7*s^4+z^3*x^5*y^10*s^2+z^3*x^6*y^9*s^2+z^4*x^5*y^9*s^2+z^3*x^7*y^8*s^2+z^5*x^5*y^8*s^2+z^3*x^8*y^7*s^2+z^4*x^7*y^7*s^2+z^5*x^6*y^7*s^2+z^6*x^5*y^7*s^2+z*x^6*y^10+z^3*x^5*y^10+z*x^7*y^9+z^3*x^6*y^9+z^2*x^6*y^9+z^4*x^5*y^9+z*x^8*y^8+z^3*x^7*y^8+z^3*x^6*y^8+z^5*x^5*y^8+z*x^9*y^7+z^3*x^8*y^7+z^2*x^8*y^7+z^4*x^7*y^7+z^3*x^7*y^7+z^5*x^6*y^7+z^4*x^6*y^7+z^6*x^5*y^7", vars, ctx);
        time = check_omega(15, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#11: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^2*x^4*y^13*s^10+z^2*x^5*y^12*s^10+z^3*x^4*y^12*s^10+z^2*x^6*y^11*s^10+z^4*x^4*y^11*s^10+z^2*x^7*y^10*s^10+z^3*x^6*y^10*s^10+z^4*x^5*y^10*s^10+z^5*x^4*y^10*s^10+z^2*x^7*y^6*s^10+z^2*x^8*y^5*s^10+z^3*x^7*y^5*s^10+z^3*x^10*y^4*s^10+z^2*x^9*y^4*s^10+z^4*x^7*y^4*s^10+z^3*x^11*y^3*s^10+z^4*x^10*y^3*s^10+z^2*x^10*y^3*s^10+z^3*x^9*y^3*s^10+z^4*x^8*y^3*s^10+z^5*x^7*y^3*s^10+z^3*x^12*y^2*s^10+z^5*x^10*y^2*s^10+z^3*x^13*y*s^10+z^4*x^12*y*s^10+z^5*x^11*y*s^10+z^6*x^10*y*s^10)*(z^5*y^2*s^4+x^5*y^3*s^3+x^2*s^2+z^4*x*y^3+z^5*x^5*y^2)", vars, ctx);
        time = check_omega(22, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#12: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^5*x*y^5*s^3+z^5*x^2*y^4*s^3+z^6*x*y^4*s^3+z^5*x^3*y^3*s^3+z^7*x*y^3*s^3+z^5*x^4*y^2*s^3+z^6*x^3*y^2*s^3+z^7*x^2*y^2*s^3+z^8*x*y^2*s^3+z^7*x^4*y^10*s^2+z^7*x^5*y^9*s^2+z^8*x^4*y^9*s^2+z^7*x^6*y^8*s^2+z^9*x^4*y^8*s^2+z^7*x^7*y^7*s^2+z^8*x^6*y^7*s^2+z^9*x^5*y^7*s^2+z^10*x^4*y^7*s^2+z^3*x^3*y^6*s^2+z^4*x^2*y^6*s^2+z^3*x^4*y^5*s^2+z^5*x^2*y^5*s^2+z^3*x^5*y^4*s^2+z^4*x^4*y^4*s^2+z^5*x^3*y^4*s^2+z^6*x^2*y^4*s^2+z^3*x^6*y^3*s^2+z^7*x^2*y^3*s^2+z^5*x^6*y^11*s+z^6*x^5*y^11*s+z^5*x^7*y^10*s+z^7*x^5*y^10*s+z^5*x^8*y^9*s+z^6*x^7*y^9*s+z^7*x^6*y^9*s+z^8*x^5*y^9*s+z^5*x^9*y^8*s+z^9*x^5*y^8*s", vars, ctx);
        time = check_omega(12, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#13: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^5*x^7*y^7*s^5+z^5*x^8*y^6*s^5+z^6*x^7*y^6*s^5+z^5*x^9*y^5*s^5+z^7*x^7*y^5*s^5+z^4*x^6*y^5*s^5+z^5*x^10*y^4*s^5+z^6*x^9*y^4*s^5+z^7*x^8*y^4*s^5+z^8*x^7*y^4*s^5+z^4*x^7*y^4*s^5+z^5*x^6*y^4*s^5+z^4*x^8*y^3*s^5+z^6*x^6*y^3*s^5+z^4*x^9*y^2*s^5+z^5*x^8*y^2*s^5+z^6*x^7*y^2*s^5+z^7*x^6*y^2*s^5+z^4*x^7*y^7*s^3+z^4*x^8*y^6*s^3+z^5*x^7*y^6*s^3+z^4*x^9*y^5*s^3+z^6*x^7*y^5*s^3+z^4*x^10*y^4*s^3+z^5*x^9*y^4*s^3+z^6*x^8*y^4*s^3+z^7*x^7*y^4*s^3+z^3*x^3*y^11*s^2+z^3*x^4*y^10*s^2+z^4*x^3*y^10*s^2+z^3*x^5*y^9*s^2+z^5*x^3*y^9*s^2+z^2*x^2*y^9*s^2+z^3*x^6*y^8*s^2+z^4*x^5*y^8*s^2+z^5*x^4*y^8*s^2+z^6*x^3*y^8*s^2+z^2*x^3*y^8*s^2+z^3*x^2*y^8*s^2+z^2*x^4*y^7*s^2+z^4*x^2*y^7*s^2+z^2*x^5*y^6*s^2+z^3*x^4*y^6*s^2+z^4*x^3*y^6*s^2+z^5*x^2*y^6*s^2+z^2*x^3*y^11+z^2*x^4*y^10+z^3*x^3*y^10+z^2*x^5*y^9+z^4*x^3*y^9+z^2*x^6*y^8+z^3*x^5*y^8+z^4*x^4*y^8+z^5*x^3*y^8", vars, ctx);
        time = check_omega(11, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#14: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(x^9*y^4*s^8+z^9*x^6*y^4*s^8+x^10*y^3*s^8+z*x^9*y^3*s^8+z^9*x^7*y^3*s^8+z^10*x^6*y^3*s^8+x^11*y^2*s^8+z^2*x^9*y^2*s^8+z^9*x^8*y^2*s^8+z^11*x^6*y^2*s^8+x^12*y*s^8+z*x^11*y*s^8+z^2*x^10*y*s^8+z^9*x^9*y*s^8+z^3*x^9*y*s^8+z^10*x^8*y*s^8+z^11*x^7*y*s^8+z^12*x^6*y*s^8+z*x^2*y^13*s+z*x^3*y^12*s+z^2*x^2*y^12*s+z*x^4*y^11*s+z^6*x^3*y^11*s+z^3*x^2*y^11*s+z*x^5*y^10*s+z^6*x^4*y^10*s+z^2*x^4*y^10*s+z^7*x^3*y^10*s+z^3*x^3*y^10*s+z^4*x^2*y^10*s+z^6*x^5*y^9*s+z^8*x^3*y^9*s+z^6*x^6*y^8*s+z^7*x^5*y^8*s+z^8*x^4*y^8*s+z^9*x^3*y^8*s)*(z^4*x^5*y*s^5+z^2*y*s^5+z^5*x^4*s^5+y^2*s^3+x^2*y^4*s^2+z^4*x^5*y^5)", vars, ctx);
        time = check_omega(9, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#15: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "z^7*x^8*y^7*s^3+z^7*x^9*y^6*s^3+z^8*x^8*y^6*s^3+z^9*x^7*y^6*s^3+z^7*x^10*y^5*s^3+z^10*x^7*y^5*s^3+z^7*x^11*y^4*s^3+z^8*x^10*y^4*s^3+z^10*x^8*y^4*s^3+z^11*x^7*y^4*s^3+z^9*x^10*y^3*s^3+z^10*x^9*y^3*s^3+z^11*x^8*y^3*s^3+z^12*x^7*y^3*s^3+z^8*x^8*y^8*s+z^8*x^9*y^7*s+z^9*x^8*y^7*s+z^10*x^7*y^7*s+z^6*x^11*y^6*s+z^8*x^10*y^6*s+z^11*x^7*y^6*s+z^6*x^12*y^5*s+z^8*x^11*y^5*s+z^7*x^11*y^5*s+z^9*x^10*y^5*s+z^8*x^10*y^5*s+z^11*x^8*y^5*s+z^12*x^7*y^5*s+z^6*x^13*y^4*s+z^10*x^10*y^4*s+z^9*x^10*y^4*s+z^11*x^9*y^4*s+z^12*x^8*y^4*s+z^13*x^7*y^4*s+z^6*x^14*y^3*s+z^7*x^13*y^3*s+z^9*x^11*y^3*s+z^10*x^10*y^3*s+z^8*x^13*y^2*s+z^9*x^12*y^2*s+z^10*x^11*y^2*s+z^11*x^10*y^2*s", vars, ctx);
        time = check_omega(21, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#16: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x^2*y^6*s^6+z^4*x^2*y*s^5+z^6*x^3*y^6*s^4+z*y^5*s^4+z*x^5*y^4*s^3+x^4*y*s^2+z^6*x^3*y^6*s)*(z^13*x^5*y^14*s^9+z^13*x^6*y^13*s^9+z^14*x^5*y^13*s^9+z^13*x^7*y^12*s^9+z^15*x^5*y^12*s^9+z^13*x^8*y^11*s^9+z^14*x^7*y^11*s^9+z^15*x^6*y^11*s^9+z^16*x^5*y^11*s^9+z^9*x^10*y^7*s^7+z^9*x^11*y^6*s^7+z^10*x^10*y^6*s^7+z^9*x^12*y^5*s^7+z^11*x^10*y^5*s^7+z^9*x^13*y^4*s^7+z^10*x^12*y^4*s^7+z^11*x^11*y^4*s^7+z^12*x^10*y^4*s^7+x^5*y^8*s^6+x^6*y^7*s^6+z*x^5*y^7*s^6+x^7*y^6*s^6+z^2*x^5*y^6*s^6+x^8*y^5*s^6+z*x^7*y^5*s^6+z^2*x^6*y^5*s^6+z^3*x^5*y^5*s^6+z^7*x^13*y^16*s^2+z^7*x^14*y^15*s^2+z^8*x^13*y^15*s^2+z^7*x^15*y^14*s^2+z^9*x^13*y^14*s^2+z^7*x^16*y^13*s^2+z^8*x^15*y^13*s^2+z^9*x^14*y^13*s^2+z^10*x^13*y^13*s^2+z^6*x^13*y^10+z^6*x^14*y^9+z^7*x^13*y^9+z^6*x^15*y^8+z^8*x^13*y^8+z^6*x^16*y^7+z^7*x^15*y^7+z^8*x^14*y^7+z^9*x^13*y^7)", vars, ctx);
        time = check_omega(16, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#17: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^14*x^5*y^18*s^13+z^14*x^6*y^17*s^13+z^15*x^5*y^17*s^13+z^14*x^7*y^16*s^13+z^16*x^5*y^16*s^13+z^14*x^8*y^15*s^13+z^15*x^7*y^15*s^13+z^16*x^6*y^15*s^13+z^17*x^5*y^15*s^13+x*y^18*s^12+x^2*y^17*s^12+z*x*y^17*s^12+x^3*y^16*s^12+z^2*x*y^16*s^12+x^4*y^15*s^12+z*x^3*y^15*s^12+z^2*x^2*y^15*s^12+z^3*x*y^15*s^12+z*x^10*y^14*s^12+z*x^11*y^13*s^12+z^2*x^10*y^13*s^12+z*x^12*y^12*s^12+z^3*x^10*y^12*s^12+z*x^13*y^11*s^12+z^2*x^12*y^11*s^12+z^3*x^11*y^11*s^12+z^4*x^10*y^11*s^12+z^10*x^4*y^13*s^11+z^10*x^5*y^12*s^11+z^11*x^4*y^12*s^11+z^10*x^6*y^11*s^11+z^12*x^4*y^11*s^11+z^10*x^7*y^10*s^11+z^11*x^6*y^10*s^11+z^12*x^5*y^10*s^11+z^13*x^4*y^10*s^11+z^7*x^2*y^4*s^11+z^7*x^3*y^3*s^11+z^8*x^2*y^3*s^11+z^7*x^4*y^2*s^11+z^9*x^2*y^2*s^11+z^7*x^5*y*s^11+z^8*x^4*y*s^11+z^9*x^3*y*s^11+z^10*x^2*y*s^11+z^4*x^2*y^7*s^6+z^4*x^3*y^6*s^6+z^5*x^2*y^6*s^6+z^4*x^4*y^5*s^6+z^6*x^2*y^5*s^6+z^4*x^5*y^4*s^6+z^5*x^4*y^4*s^6+z^6*x^3*y^4*s^6+z^7*x^2*y^4*s^6)*(z^4*x^2*y^6*s^7+z^5*x^5*y^5*s^7+z^6*x^4*y^3*s^5+z^5*x^6*y^5*s^4+z^7*x^4*s^3+z^4*x*y^2*s+z^2*x^4)", vars, ctx);
        time = check_omega(16, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#18: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^4*x^2*y^10*s^9+z^4*x^3*y^9*s^9+1*x^3*y^9*s^9+z^5*x^2*y^9*s^9+z^4*x^4*y^8*s^9+1*x^4*y^8*s^9+z*x^3*y^8*s^9+z^6*x^2*y^8*s^9+z^4*x^5*y^7*s^9+1*x^5*y^7*s^9+z^5*x^4*y^7*s^9+z^6*x^3*y^7*s^9+z^2*x^3*y^7*s^9+z^7*x^2*y^7*s^9+x^6*y^6*s^9+z*x^5*y^6*s^9+z^2*x^4*y^6*s^9+z^3*x^3*y^6*s^9+z^8*x^7*y^5*s^8+z^8*x^8*y^4*s^8+z^9*x^7*y^4*s^8+z^8*x^9*y^3*s^8+z^10*x^7*y^3*s^8+z^8*x^10*y^2*s^8+z^9*x^9*y^2*s^8+z^10*x^8*y^2*s^8+z^11*x^7*y^2*s^8+z^7*x^3*y^7*s^3+z^7*x^4*y^6*s^3+z^8*x^3*y^6*s^3+z^7*x^5*y^5*s^3+z^9*x^3*y^5*s^3+z^7*x^6*y^4*s^3+z^8*x^5*y^4*s^3+z^9*x^4*y^4*s^3+z^10*x^3*y^4*s^3)*(x^5*y^5*s^4+z*y^4*s^4+x*y^2*s^4+z^2*x^4*s^4+z^3*x^2*y^2*s+z^5*y)", vars, ctx);
        time = check_omega(12, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#19: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^7*x^13*y^17*s^16+z^7*x^14*y^16*s^16+z^8*x^13*y^16*s^16+z^7*x^15*y^15*s^16+z^9*x^13*y^15*s^16+z^7*x^16*y^14*s^16+z^8*x^15*y^14*s^16+z^9*x^14*y^14*s^16+z^10*x^13*y^14*s^16+z^3*x^4*y^17*s^14+z^3*x^5*y^16*s^14+z^4*x^4*y^16*s^14+z^3*x^6*y^15*s^14+z^5*x^4*y^15*s^14+z^3*x^7*y^14*s^14+z^4*x^6*y^14*s^14+z^5*x^5*y^14*s^14+z^6*x^4*y^14*s^14+z^8*x^5*y^6*s^13+z^8*x^6*y^5*s^13+z^9*x^5*y^5*s^13+z^8*x^7*y^4*s^13+z^10*x^5*y^4*s^13+z^8*x^8*y^3*s^13+z^9*x^7*y^3*s^13+z^10*x^6*y^3*s^13+z^11*x^5*y^3*s^13+z^6*x^2*y^12*s^8+z^6*x^3*y^11*s^8+z^7*x^2*y^11*s^8+z^6*x^4*y^10*s^8+z^8*x^2*y^10*s^8+z^6*x^5*y^9*s^8+z^7*x^4*y^9*s^8+z^8*x^3*y^9*s^8+z^9*x^2*y^9*s^8+z^5*x*y^5*s^5+z^5*x^2*y^4*s^5+z^6*x*y^4*s^5+z^5*x^3*y^3*s^5+z^7*x*y^3*s^5+z^5*x^4*y^2*s^5+z^6*x^3*y^2*s^5+z^7*x^2*y^2*s^5+z^8*x*y^2*s^5+z^15*x^5*y^8*s+z^15*x^6*y^7*s+z^16*x^5*y^7*s+z^15*x^7*y^6*s+z^17*x^5*y^6*s+z^15*x^8*y^5*s+z^16*x^7*y^5*s+z^17*x^6*y^5*s+z^18*x^5*y^5*s)*(z^3*x^2*y^3*s^7+z^6*x*y^2*s^6+z^7*x^3*y*s^5+z^6*x^5*s^3+z^5*x^3*s^3+z^2*x^4*y^7*s^2+z^3*y^3*s^2)*(z^3*x^3*y^3+z^2*x^3*y^3+z^4*x^2*y^3+z*y^3+z^3*x*y^2+z*x*y^2+z^4*y+x)", vars, ctx);
        time = check_omega(17, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#20: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^7*x^11*y^17*s^12+z^7*x^12*y^16*s^12+z^8*x^11*y^16*s^12+z^7*x^13*y^15*s^12+z^9*x^11*y^15*s^12+z^7*x^14*y^14*s^12+z^8*x^13*y^14*s^12+z^9*x^12*y^14*s^12+z^10*x^11*y^14*s^12+z^6*x^6*y^17*s^6+z^6*x^7*y^16*s^6+z^7*x^6*y^16*s^6+z^6*x^8*y^15*s^6+z^8*x^6*y^15*s^6+z^6*x^9*y^14*s^6+z^7*x^8*y^14*s^6+z^8*x^7*y^14*s^6+z^9*x^6*y^14*s^6+z^9*x^10*y^10*s^6+z^9*x^11*y^9*s^6+z^10*x^10*y^9*s^6+z^9*x^12*y^8*s^6+z^11*x^10*y^8*s^6+z^9*x^13*y^7*s^6+z^10*x^12*y^7*s^6+z^11*x^11*y^7*s^6+z^12*x^10*y^7*s^6+z^4*x*y^8*s^2+z^4*x^2*y^7*s^2+z^5*x*y^7*s^2+z^4*x^3*y^6*s^2+z^6*x*y^6*s^2+z^4*x^4*y^5*s^2+z^5*x^3*y^5*s^2+z^6*x^2*y^5*s^2+z^7*x*y^5*s^2+z^4*x^9*y^5*s+z^4*x^10*y^4*s+z^5*x^9*y^4*s+z^4*x^11*y^3*s+z^6*x^9*y^3*s+z^4*x^12*y^2*s+z^5*x^11*y^2*s+z^6*x^10*y^2*s+z^7*x^9*y^2*s)*(y^2*s^5+x^3*y^6*s^4+z^6*x^6*y^2*s^4+z^6*x^6*y^6*s^3+z^5*x^2*s^3+z^3*x^6*y^3*s^2+z^6*x^6*y^6*s)*(z^2*x*y^3+z^2*x^3*y+x*y+z^2*y+z^3*x^3+z*x)", vars, ctx);
        time = check_omega(15, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#21: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^4*x*y^13*s^4*t^9+z^4*x^2*y^12*s^4*t^9+z^5*x*y^12*s^4*t^9+z^4*x^3*y^11*s^4*t^9+z^6*x*y^11*s^4*t^9+z^4*x^4*y^10*s^4*t^9+z^5*x^3*y^10*s^4*t^9+z^6*x^2*y^10*s^4*t^9+z^7*x*y^10*s^4*t^9+x^6*y^13*s^2*t^8+x^7*y^12*s^2*t^8+z*x^6*y^12*s^2*t^8+x^8*y^11*s^2*t^8+z^2*x^6*y^11*s^2*t^8+x^9*y^10*s^2*t^8+z*x^8*y^10*s^2*t^8+z^2*x^7*y^10*s^2*t^8+z^3*x^6*y^10*s^2*t^8+z^2*x^6*y^6*s^2*t^2+z^2*x^7*y^5*s^2*t^2+z^3*x^6*y^5*s^2*t^2+z^2*x^8*y^4*s^2*t^2+z^4*x^6*y^4*s^2*t^2+z^2*x^9*y^3*s^2*t^2+z^3*x^8*y^3*s^2*t^2+z^4*x^7*y^3*s^2*t^2+z^5*x^6*y^3*s^2*t^2)*(x^3*y^2*s^3*u^4+z^4*x*y*s^2*u^4+z*x^4*y*u^2+z*y*u^2+z^4*x^3*y*s^3)*(z^2*x*y^2+y+x+z^2+1)", vars, ctx);
        time = check_omega(15, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#22: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^2*x^13*y^18*s^10*t^11+z^2*x^14*y^17*s^10*t^11+z^3*x^13*y^17*s^10*t^11+z^2*x^15*y^16*s^10*t^11+z^4*x^13*y^16*s^10*t^11+z^2*x^16*y^15*s^10*t^11+z^3*x^15*y^15*s^10*t^11+z^4*x^14*y^15*s^10*t^11+z^5*x^13*y^15*s^10*t^11+z*x^17*y^5*s^7*t^9+z*x^18*y^4*s^7*t^9+z^2*x^17*y^4*s^7*t^9+z*x^19*y^3*s^7*t^9+z^3*x^17*y^3*s^7*t^9+z*x^20*y^2*s^7*t^9+z^2*x^19*y^2*s^7*t^9+z^3*x^18*y^2*s^7*t^9+z^4*x^17*y^2*s^7*t^9+z^11*x^2*y^16*s^2*t^8+z^11*x^3*y^15*s^2*t^8+z^12*x^2*y^15*s^2*t^8+z^11*x^4*y^14*s^2*t^8+z^13*x^2*y^14*s^2*t^8+z^11*x^5*y^13*s^2*t^8+z^12*x^4*y^13*s^2*t^8+z^13*x^3*y^13*s^2*t^8+z^14*x^2*y^13*s^2*t^8+z^6*x^8*y^15*s^10*t^6+z^6*x^9*y^14*s^10*t^6+z^7*x^8*y^14*s^10*t^6+z^6*x^10*y^13*s^10*t^6+z^8*x^8*y^13*s^10*t^6+z^6*x^11*y^12*s^10*t^6+z^7*x^10*y^12*s^10*t^6+z^8*x^9*y^12*s^10*t^6+z^9*x^8*y^12*s^10*t^6+z^10*x^7*y^14*s*t^4+z^10*x^8*y^13*s*t^4+z^11*x^7*y^13*s*t^4+z^10*x^9*y^12*s*t^4+z^12*x^7*y^12*s*t^4+z^10*x^10*y^11*s*t^4+z^11*x^9*y^11*s*t^4+z^12*x^8*y^11*s*t^4+z^13*x^7*y^11*s*t^4+z^6*x^7*y^4*t+z^6*x^8*y^3*t+z^7*x^7*y^3*t+z^6*x^9*y^2*t+z^8*x^7*y^2*t+z^6*x^10*y*t+z^7*x^9*y*t+z^8*x^8*y*t+z^9*x^7*y*t)*(x^5*y^3*s^7*u^5+z^5*x^2*y*s*u^4+x^4*y^4*s^8*u^3+x*s^6*u+x^6*y^6*s^2*u+z^4*x^3*y^6*s^2*u+z*x*y^7*u)*(z^3*x^3*y^2+z^2*x^2*y^2+z*y^2+z^3*x^3*y+z*y+z^2*x^4+z^3*x^2+1)", vars, ctx);
        time = check_omega(13, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#23: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^8*x^9*y^17*s^14*t^14+z^8*x^10*y^16*s^14*t^14+z^9*x^9*y^16*s^14*t^14+z^8*x^11*y^15*s^14*t^14+z^10*x^9*y^15*s^14*t^14+z^8*x^12*y^14*s^14*t^14+z^9*x^11*y^14*s^14*t^14+z^10*x^10*y^14*s^14*t^14+z^11*x^9*y^14*s^14*t^14+x^3*y^10*t^10+x^4*y^9*t^10+z*x^3*y^9*t^10+x^5*y^8*t^10+z^2*x^3*y^8*t^10+x^6*y^7*t^10+z*x^5*y^7*t^10+z^2*x^4*y^7*t^10+z^3*x^3*y^7*t^10+z^7*x^10*y^4*s^4*t^9+z^7*x^11*y^3*s^4*t^9+z^8*x^10*y^3*s^4*t^9+z^7*x^12*y^2*s^4*t^9+z^9*x^10*y^2*s^4*t^9+z^7*x^13*y*s^4*t^9+z^8*x^12*y*s^4*t^9+z^9*x^11*y*s^4*t^9+z^10*x^10*y*s^4*t^9+z^14*x^14*y^12*s^11*t^8+z^14*x^15*y^11*s^11*t^8+z^15*x^14*y^11*s^11*t^8+z^14*x^16*y^10*s^11*t^8+z^16*x^14*y^10*s^11*t^8+z^14*x^17*y^9*s^11*t^8+z^15*x^16*y^9*s^11*t^8+z^16*x^15*y^9*s^11*t^8+z^17*x^14*y^9*s^11*t^8+z^6*x^13*y^13*s^13*t^7+z^6*x^14*y^12*s^13*t^7+z^7*x^13*y^12*s^13*t^7+z^6*x^15*y^11*s^13*t^7+z^8*x^13*y^11*s^13*t^7+z^6*x^16*y^10*s^13*t^7+z^7*x^15*y^10*s^13*t^7+z^8*x^14*y^10*s^13*t^7+z^9*x^13*y^10*s^13*t^7+z^15*x^9*y^4*s^3+z^15*x^10*y^3*s^3+z^16*x^9*y^3*s^3+z^15*x^11*y^2*s^3+z^17*x^9*y^2*s^3+z^15*x^12*y*s^3+z^16*x^11*y*s^3+z^17*x^10*y*s^3+z^18*x^9*y*s^3)*(z^6*y^5*s^4*u^7+z^7*x^7*y^3*s^3*u^3+z^7*x^7*y^3*s^7*u^2+z^4*x^3*y^6*s^3*u+z^2*x^4*y^3*s^2*u+z^3*x^7*y*s*u+z^5*x*y^4*u)*(z*x^3*y^2+z^2*y^2+z^2*x*y+z*x*y+1*y+z*x^2+z^2)", vars, ctx);
        time = check_omega(14, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#24: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^7*x^5*y^14*s^4*t^9+z^7*x^6*y^13*s^4*t^9+z^8*x^5*y^13*s^4*t^9+z^7*x^7*y^12*s^4*t^9+z^9*x^5*y^12*s^4*t^9+z^7*x^8*y^11*s^4*t^9+z^8*x^7*y^11*s^4*t^9+z^9*x^6*y^11*s^4*t^9+z^10*x^5*y^11*s^4*t^9+z^7*x^4*y^14*s^4*t^7+z^7*x^5*y^13*s^4*t^7+z^8*x^4*y^13*s^4*t^7+z^7*x^6*y^12*s^4*t^7+z^9*x^4*y^12*s^4*t^7+z^7*x^7*y^11*s^4*t^7+z^8*x^6*y^11*s^4*t^7+z^9*x^5*y^11*s^4*t^7+z^10*x^4*y^11*s^4*t^7+z^10*x^13*y^10*s^3*t^7+z^10*x^14*y^9*s^3*t^7+z^11*x^13*y^9*s^3*t^7+z^10*x^15*y^8*s^3*t^7+z^12*x^13*y^8*s^3*t^7+z^10*x^16*y^7*s^3*t^7+z^11*x^15*y^7*s^3*t^7+z^12*x^14*y^7*s^3*t^7+z^13*x^13*y^7*s^3*t^7+z^12*x^5*y^13*s^4*t^4+z^12*x^6*y^12*s^4*t^4+z^13*x^5*y^12*s^4*t^4+z^12*x^7*y^11*s^4*t^4+z^14*x^5*y^11*s^4*t^4+z^12*x^8*y^10*s^4*t^4+z^13*x^7*y^10*s^4*t^4+z^14*x^6*y^10*s^4*t^4+z^15*x^5*y^10*s^4*t^4+z^6*x^13*y^12*s^3*t^2+z^6*x^14*y^11*s^3*t^2+z^7*x^13*y^11*s^3*t^2+z^6*x^15*y^10*s^3*t^2+z^8*x^13*y^10*s^3*t^2+z^6*x^16*y^9*s^3*t^2+z^7*x^15*y^9*s^3*t^2+z^8*x^14*y^9*s^3*t^2+z^9*x^13*y^9*s^3*t^2)*(x*y^3*s^5*u^6+z^3*x^2*y^3*s^3*u^4+z^4*x^6*s^5*u^3+z^2*x^6*s^3*u^3+z^6*x^2*y^4*s^6*u^2+z^2*y^5*s^4*u^2+z*y^5*s^6)*(z^2*x^2*y^3+z^3*y^3+x^2*y^2+z^3*x*y^2+z^3*x^2*y+z^3)", vars, ctx);
        time = check_omega(31, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#25: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^11*x^7*y^9*s^7*t^11+z^11*x^8*y^8*s^7*t^11+z^12*x^7*y^8*s^7*t^11+z^11*x^9*y^7*s^7*t^11+z^13*x^7*y^7*s^7*t^11+z^11*x^10*y^6*s^7*t^11+z^12*x^9*y^6*s^7*t^11+z^13*x^8*y^6*s^7*t^11+z^14*x^7*y^6*s^7*t^11+z^10*x^8*y^12*s^8*t^9+z^10*x^9*y^11*s^8*t^9+z^11*x^8*y^11*s^8*t^9+z^10*x^10*y^10*s^8*t^9+z^12*x^8*y^10*s^8*t^9+z^10*x^11*y^9*s^8*t^9+z^11*x^10*y^9*s^8*t^9+z^12*x^9*y^9*s^8*t^9+z^13*x^8*y^9*s^8*t^9+z^5*x^2*y^7*s^3*t^7+z^5*x^3*y^6*s^3*t^7+z^6*x^2*y^6*s^3*t^7+z^5*x^4*y^5*s^3*t^7+z^7*x^2*y^5*s^3*t^7+z^5*x^5*y^4*s^3*t^7+z^6*x^4*y^4*s^3*t^7+z^7*x^3*y^4*s^3*t^7+z^8*x^2*y^4*s^3*t^7+x^3*y^12*t^5+x^4*y^11*t^5+z*x^3*y^11*t^5+x^5*y^10*t^5+z^2*x^3*y^10*t^5+x^6*y^9*t^5+z*x^5*y^9*t^5+z^2*x^4*y^9*t^5+z^3*x^3*y^9*t^5+z^10*x^4*y^7*s^8*t^4+z^10*x^5*y^6*s^8*t^4+z^11*x^4*y^6*s^8*t^4+z^10*x^6*y^5*s^8*t^4+z^12*x^4*y^5*s^8*t^4+z^10*x^7*y^4*s^8*t^4+z^11*x^6*y^4*s^8*t^4+z^12*x^5*y^4*s^8*t^4+z^13*x^4*y^4*s^8*t^4)*(z^3*y^5*s^3*u^6+z^4*x^2*y^2*s^4*u^5+z^2*x*s^4*u^5+z*y^3*s^2*u^3+z^6*y^5*u^2+x^2*s^3+x^2*y*s^2)*(z^2*y^2+z*x^2*y+z^2*x+1)", vars, ctx);
        time = check_omega(16, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#26: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^8*x^4*y^6*s^7*t^10+z^8*x^5*y^5*s^7*t^10+z^9*x^4*y^5*s^7*t^10+z^8*x^6*y^4*s^7*t^10+z^10*x^4*y^4*s^7*t^10+z^8*x^7*y^3*s^7*t^10+z^9*x^6*y^3*s^7*t^10+z^10*x^5*y^3*s^7*t^10+z^11*x^4*y^3*s^7*t^10+z^2*x^8*y^14*s^5*t^10+z^2*x^9*y^13*s^5*t^10+z^3*x^8*y^13*s^5*t^10+z^2*x^10*y^12*s^5*t^10+z^4*x^8*y^12*s^5*t^10+z^2*x^11*y^11*s^5*t^10+z^3*x^10*y^11*s^5*t^10+z^4*x^9*y^11*s^5*t^10+z^5*x^8*y^11*s^5*t^10+z^8*x^2*y^13*s^6*t^6+z^8*x^3*y^12*s^6*t^6+z^9*x^2*y^12*s^6*t^6+z^8*x^4*y^11*s^6*t^6+z^10*x^2*y^11*s^6*t^6+z^8*x^5*y^10*s^6*t^6+z^9*x^4*y^10*s^6*t^6+z^10*x^3*y^10*s^6*t^6+z^11*x^2*y^10*s^6*t^6+z^8*x^6*y^15*s^6+z^8*x^7*y^14*s^6+z^9*x^6*y^14*s^6+z^8*x^8*y^13*s^6+z^10*x^6*y^13*s^6+z^8*x^9*y^12*s^6+z^9*x^8*y^12*s^6+z^10*x^7*y^12*s^6+z^11*x^6*y^12*s^6)*(z*x^2*y^3*s^4*u^4+x^3*y^2*s^4*u^4+z^2*x^2*s^4*u^2+z^4*x^3*u^2+z^5*x^2*y^2*s^5*u+z^2*x^5*y^2)*(x^2*y^2+z^2*y^2+z*x*y+1*x*y)", vars, ctx);
        time = check_omega(21, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#27: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^2*x^2*y^10*s^8*t^3+z^2*x^3*y^9*s^8*t^3+z^3*x^2*y^9*s^8*t^3+z^2*x^4*y^8*s^8*t^3+z^4*x^2*y^8*s^8*t^3+z^2*x^5*y^7*s^8*t^3+z^3*x^4*y^7*s^8*t^3+z^4*x^3*y^7*s^8*t^3+z^5*x^2*y^7*s^8*t^3+z*x^11*y^9*t^3+z*x^12*y^8*t^3+z^2*x^11*y^8*t^3+z*x^13*y^7*t^3+z^3*x^11*y^7*t^3+z*x^14*y^6*t^3+z^2*x^13*y^6*t^3+z^3*x^12*y^6*t^3+z^4*x^11*y^6*t^3+x^11*y^9*s^2*t+x^12*y^8*s^2*t+z*x^11*y^8*s^2*t+x^13*y^7*s^2*t+z^2*x^11*y^7*s^2*t+x^14*y^6*s^2*t+z*x^13*y^6*s^2*t+z^2*x^12*y^6*s^2*t+z^3*x^11*y^6*s^2*t)*(z^4*x^2*y^2*s^3*u^3+z^2*x^3*y^2*s^3*u^2+z^3*x^3*y^2*s^2*u+z*x^3*y^4*s*u+z^4*x^4*u)*(z^2*y^2+x^2*y+z*x*y+z^2*y+1*y+x)", vars, ctx);
        time = check_omega(19, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#28: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^7*x^7*y^8*s^3*t^7+z^7*x^8*y^7*s^3*t^7+z^8*x^7*y^7*s^3*t^7+z^7*x^9*y^6*s^3*t^7+z^9*x^7*y^6*s^3*t^7+z^7*x^10*y^5*s^3*t^7+z^8*x^9*y^5*s^3*t^7+z^9*x^8*y^5*s^3*t^7+z^10*x^7*y^5*s^3*t^7+z^9*x^8*y^10*s^5*t^3+z^9*x^9*y^9*s^5*t^3+z^10*x^8*y^9*s^5*t^3+z^9*x^10*y^8*s^5*t^3+z^11*x^8*y^8*s^5*t^3+z^9*x^11*y^7*s^5*t^3+z^10*x^10*y^7*s^5*t^3+z^11*x^9*y^7*s^5*t^3+z^12*x^8*y^7*s^5*t^3+z^6*x^8*y^13*s^4+z^6*x^9*y^12*s^4+z^7*x^8*y^12*s^4+z^6*x^10*y^11*s^4+z^8*x^8*y^11*s^4+z^6*x^11*y^10*s^4+z^7*x^10*y^10*s^4+z^8*x^9*y^10*s^4+z^9*x^8*y^10*s^4)*(z^4*x^2*s^3*u^4+z*x^2*y^3*s^3*u^3+z^2*x^4*y^2*s*u^2+z^4*x^3*y^4*s^3*u+z^3*x^2*y^3*s^4)*(y+z*x^2+x+z+1)", vars, ctx);
        time = check_omega(31, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#29: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(x^10*y^13*s^3*t^13+x^11*y^12*s^3*t^13+z*x^10*y^12*s^3*t^13+x^12*y^11*s^3*t^13+z^2*x^10*y^11*s^3*t^13+x^13*y^10*s^3*t^13+z*x^12*y^10*s^3*t^13+z^2*x^11*y^10*s^3*t^13+z^3*x^10*y^10*s^3*t^13+z^13*x^7*y^17*s^2*t^5+z^13*x^8*y^16*s^2*t^5+z^14*x^7*y^16*s^2*t^5+z^13*x^9*y^15*s^2*t^5+z^15*x^7*y^15*s^2*t^5+z^13*x^10*y^14*s^2*t^5+z^14*x^9*y^14*s^2*t^5+z^15*x^8*y^14*s^2*t^5+z^16*x^7*y^14*s^2*t^5+z^2*x^14*y^4*s^12*t^3+z^2*x^15*y^3*s^12*t^3+z^3*x^14*y^3*s^12*t^3+z^2*x^16*y^2*s^12*t^3+z^4*x^14*y^2*s^12*t^3+z^2*x^17*y*s^12*t^3+z^3*x^16*y*s^12*t^3+z^4*x^15*y*s^12*t^3+z^5*x^14*y*s^12*t^3+z^4*x^14*y^15*s^3*t^2+z^4*x^15*y^14*s^3*t^2+z^5*x^14*y^14*s^3*t^2+z^4*x^16*y^13*s^3*t^2+z^6*x^14*y^13*s^3*t^2+z^4*x^17*y^12*s^3*t^2+z^5*x^16*y^12*s^3*t^2+z^6*x^15*y^12*s^3*t^2+z^7*x^14*y^12*s^3*t^2+z^5*x^11*y^15*s^3+z^5*x^12*y^14*s^3+z^6*x^11*y^14*s^3+z^5*x^13*y^13*s^3+z^7*x^11*y^13*s^3+z^5*x^14*y^12*s^3+z^6*x^13*y^12*s^3+z^7*x^12*y^12*s^3+z^8*x^11*y^12*s^3)*(z*x^4*y^3*u^6+z^3*x^5*y^4*s^5*u^4+z*x^5*y^4*s^5*u^4+z^4*x^6*y^4*s*u^4+z*x*y^5*s^4*u^2+z^5*y^6*s^2*u^2+z^5*x^4*y^5)*(z*x^2*y^3+1*y^3+z^2*x^2*y^2+z^2*x*y^2+z*y^2+z^2*x*y)", vars, ctx);
        time = check_omega(21, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#30: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^2*x^4*y^6+z^2*x^5*y^5+z^3*x^4*y^5+z^2*x^6*y^4+z^4*x^4*y^4+z^2*x^7*y^3+z^3*x^6*y^3+z^4*x^5*y^3+z^5*x^4*y^3)*(z*x*y*s*u+y*s)", vars, ctx);
        time = check_omega(15, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#31: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^7*x^14*y^14*s^13*t^11+z^7*x^15*y^13*s^13*t^11+z^8*x^14*y^13*s^13*t^11+z^7*x^16*y^12*s^13*t^11+z^9*x^14*y^12*s^13*t^11+z^7*x^17*y^11*s^13*t^11+z^8*x^16*y^11*s^13*t^11+z^9*x^15*y^11*s^13*t^11+z^10*x^14*y^11*s^13*t^11+z^12*x^13*y^16*s^15*t^9+z^12*x^14*y^15*s^15*t^9+z^13*x^13*y^15*s^15*t^9+z^12*x^15*y^14*s^15*t^9+z^14*x^13*y^14*s^15*t^9+z^12*x^16*y^13*s^15*t^9+z^13*x^15*y^13*s^15*t^9+z^14*x^14*y^13*s^15*t^9+z^15*x^13*y^13*s^15*t^9+z^14*x^15*y^9*s^4*t^8+z^14*x^16*y^8*s^4*t^8+z^15*x^15*y^8*s^4*t^8+z^14*x^17*y^7*s^4*t^8+z^16*x^15*y^7*s^4*t^8+z^14*x^18*y^6*s^4*t^8+z^15*x^17*y^6*s^4*t^8+z^16*x^16*y^6*s^4*t^8+z^17*x^15*y^6*s^4*t^8+z^8*x^16*y^18*s^14*t^7+z^8*x^17*y^17*s^14*t^7+z^9*x^16*y^17*s^14*t^7+z^8*x^18*y^16*s^14*t^7+z^10*x^16*y^16*s^14*t^7+z^8*x^19*y^15*s^14*t^7+z^9*x^18*y^15*s^14*t^7+z^10*x^17*y^15*s^14*t^7+z^11*x^16*y^15*s^14*t^7+z^3*x^10*y^4*s*t^5+z^3*x^11*y^3*s*t^5+z^4*x^10*y^3*s*t^5+z^3*x^12*y^2*s*t^5+z^5*x^10*y^2*s*t^5+z^3*x^13*y*s*t^5+z^4*x^12*y*s*t^5+z^5*x^11*y*s*t^5+z^6*x^10*y*s*t^5+z^2*x^6*y^15*s^15*t^3+z^2*x^7*y^14*s^15*t^3+z^3*x^6*y^14*s^15*t^3+z^2*x^8*y^13*s^15*t^3+z^4*x^6*y^13*s^15*t^3+z^2*x^9*y^12*s^15*t^3+z^3*x^8*y^12*s^15*t^3+z^4*x^7*y^12*s^15*t^3+z^5*x^6*y^12*s^15*t^3)*(z^6*x^7*y^2*s^5*u^6+x^2*s^8*u^5+z^7*x^5*y^6*s^2*u^5+z^2*x^7*u^5+z^5*x^7*y^6*s*u^4+z^7*x^8*y^6*s^2*u+z^6*x^4*y^7)*(z*x^3*y^3+x^2*y^3+z^2*x*y^3+x^3*y^2+z^3*x*y^2+x^2*y+z^3*x^2+z^2*x)", vars, ctx);
        time = check_omega(22, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#32: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^8*x^3*y^5*s^3*t^14+z^8*x^4*y^4*s^3*t^14+z^9*x^3*y^4*s^3*t^14+z^8*x^5*y^3*s^3*t^14+z^10*x^3*y^3*s^3*t^14+z^8*x^6*y^2*s^3*t^14+z^9*x^5*y^2*s^3*t^14+z^10*x^4*y^2*s^3*t^14+z^11*x^3*y^2*s^3*t^14+z^4*x^11*y^17*s^12*t^12+z^4*x^12*y^16*s^12*t^12+z^5*x^11*y^16*s^12*t^12+z^4*x^13*y^15*s^12*t^12+z^6*x^11*y^15*s^12*t^12+z^4*x^14*y^14*s^12*t^12+z^5*x^13*y^14*s^12*t^12+z^6*x^12*y^14*s^12*t^12+z^7*x^11*y^14*s^12*t^12+z^3*x*y^10*s^14*t^4+z^3*x^2*y^9*s^14*t^4+z^4*x*y^9*s^14*t^4+z^3*x^3*y^8*s^14*t^4+z^5*x*y^8*s^14*t^4+z^3*x^4*y^7*s^14*t^4+z^4*x^3*y^7*s^14*t^4+z^5*x^2*y^7*s^14*t^4+z^6*x*y^7*s^14*t^4+z^7*x^4*y^14*s^9*t^3+z^7*x^5*y^13*s^9*t^3+z^8*x^4*y^13*s^9*t^3+z^7*x^6*y^12*s^9*t^3+z^9*x^4*y^12*s^9*t^3+z^7*x^7*y^11*s^9*t^3+z^8*x^6*y^11*s^9*t^3+z^9*x^5*y^11*s^9*t^3+z^10*x^4*y^11*s^9*t^3+x^11*y^16*s^10*t^2+x^12*y^15*s^10*t^2+z*x^11*y^15*s^10*t^2+x^13*y^14*s^10*t^2+z^2*x^11*y^14*s^10*t^2+x^14*y^13*s^10*t^2+z*x^13*y^13*s^10*t^2+z^2*x^12*y^13*s^10*t^2+z^3*x^11*y^13*s^10*t^2+z^11*x^5*y^11*s^2+z^11*x^6*y^10*s^2+z^12*x^5*y^10*s^2+z^11*x^7*y^9*s^2+z^13*x^5*y^9*s^2+z^11*x^8*y^8*s^2+z^12*x^7*y^8*s^2+z^13*x^6*y^8*s^2+z^14*x^5*y^8*s^2)*(z^3*x^5*y^5*s^5*u^7+z^2*x^4*y^3*s^3*u^5+z^3*y^2*s^2*u^5+x^6*y^3*s^4*u^4+z*x*y^3*u^3+z^3*x^5*y^3*s^5*u^2+z*x^7*y^7*s^5*u)*(y^2+z*y+1*y+x^2+z^3*x)", vars, ctx);
        time = check_omega(14, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#33: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^6*x^6*y^4*s^8*t^12+z^6*x^7*y^3*s^8*t^12+z^7*x^6*y^3*s^8*t^12+z^6*x^8*y^2*s^8*t^12+z^8*x^6*y^2*s^8*t^12+z^6*x^9*y*s^8*t^12+z^7*x^8*y*s^8*t^12+z^8*x^7*y*s^8*t^12+z^9*x^6*y*s^8*t^12+x*y^7*s^7*t^8+x^2*y^6*s^7*t^8+z*x*y^6*s^7*t^8+x^3*y^5*s^7*t^8+z^2*x*y^5*s^7*t^8+x^4*y^4*s^7*t^8+z*x^3*y^4*s^7*t^8+z^2*x^2*y^4*s^7*t^8+z^3*x*y^4*s^7*t^8+x^2*y^9*s^8*t^7+x^3*y^8*s^8*t^7+z*x^2*y^8*s^8*t^7+x^4*y^7*s^8*t^7+z^2*x^2*y^7*s^8*t^7+x^5*y^6*s^8*t^7+z*x^4*y^6*s^8*t^7+z^2*x^3*y^6*s^8*t^7+z^3*x^2*y^6*s^8*t^7+z^4*x^8*y^5*s^5*t^7+z^4*x^9*y^4*s^5*t^7+z^5*x^8*y^4*s^5*t^7+z^4*x^10*y^3*s^5*t^7+z^6*x^8*y^3*s^5*t^7+z^4*x^11*y^2*s^5*t^7+z^5*x^10*y^2*s^5*t^7+z^6*x^9*y^2*s^5*t^7+z^7*x^8*y^2*s^5*t^7+z^9*x^10*y^6*s^9*t+z^9*x^11*y^5*s^9*t+z^10*x^10*y^5*s^9*t+z^9*x^12*y^4*s^9*t+z^11*x^10*y^4*s^9*t+z^9*x^13*y^3*s^9*t+z^10*x^12*y^3*s^9*t+z^11*x^11*y^3*s^9*t+z^12*x^10*y^3*s^9*t)*(z^3*x^3*y^5*s^5*u^5+z^3*x^3*y^3*s^6*u^2+z^2*x^2*y^2*s^4*u+z^4*x^3*y^4*s^2*u+z^3*x^2*y^5*s^2+z^3*x^3*y^2*s^2+z^4*x^5*y^4*s)*(z^2*x*y^2+z*x*y^2+z^2*y+1)", vars, ctx);
        time = check_omega(21, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#34: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z*x^9*y^6*s^2*t^5+z*x^10*y^5*s^2*t^5+z^2*x^9*y^5*s^2*t^5+z*x^11*y^4*s^2*t^5+z^3*x^9*y^4*s^2*t^5+z*x^12*y^3*s^2*t^5+z^2*x^11*y^3*s^2*t^5+z^3*x^10*y^3*s^2*t^5+z^4*x^9*y^3*s^2*t^5+z^4*x^7*y^6*s^4+z^4*x^8*y^5*s^4+z^5*x^7*y^5*s^4+z^4*x^9*y^4*s^4+z^6*x^7*y^4*s^4+z^4*x^10*y^3*s^4+z^5*x^9*y^3*s^4+z^6*x^8*y^3*s^4+z^7*x^7*y^3*s^4)*(z*x^4*s^3*u^3+z*x^3*y*u^3+z*x^4*s^4+x^2*y^2)*(z*x*y)", vars, ctx);
        time = check_omega(23, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#35: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^3*x*y^20*s^5*t^17+z^3*x^2*y^19*s^5*t^17+z^4*x*y^19*s^5*t^17+z^3*x^3*y^18*s^5*t^17+z^5*x*y^18*s^5*t^17+z^3*x^4*y^17*s^5*t^17+z^4*x^3*y^17*s^5*t^17+z^5*x^2*y^17*s^5*t^17+z^6*x*y^17*s^5*t^17+z^17*x^15*y^16*s^16*t^16+z^17*x^16*y^15*s^16*t^16+z^18*x^15*y^15*s^16*t^16+z^17*x^17*y^14*s^16*t^16+z^19*x^15*y^14*s^16*t^16+z^17*x^18*y^13*s^16*t^16+z^18*x^17*y^13*s^16*t^16+z^19*x^16*y^13*s^16*t^16+z^20*x^15*y^13*s^16*t^16+z^2*x^16*y^4*s^13*t^13+z^2*x^17*y^3*s^13*t^13+z^3*x^16*y^3*s^13*t^13+z^2*x^18*y^2*s^13*t^13+z^4*x^16*y^2*s^13*t^13+z^2*x^19*y*s^13*t^13+z^3*x^18*y*s^13*t^13+z^4*x^17*y*s^13*t^13+z^5*x^16*y*s^13*t^13+z^11*x^2*y^4*s^8*t^11+z^11*x^3*y^3*s^8*t^11+z^12*x^2*y^3*s^8*t^11+z^11*x^4*y^2*s^8*t^11+z^13*x^2*y^2*s^8*t^11+z^11*x^5*y*s^8*t^11+z^12*x^4*y*s^8*t^11+z^13*x^3*y*s^8*t^11+z^14*x^2*y*s^8*t^11+z^8*x^12*y^14*s*t^11+z^8*x^13*y^13*s*t^11+z^9*x^12*y^13*s*t^11+z^8*x^14*y^12*s*t^11+z^10*x^12*y^12*s*t^11+z^8*x^15*y^11*s*t^11+z^9*x^14*y^11*s*t^11+z^10*x^13*y^11*s*t^11+z^11*x^12*y^11*s*t^11+z^14*x^11*y^12*s^14*t^5+z^14*x^12*y^11*s^14*t^5+z^15*x^11*y^11*s^14*t^5+z^14*x^13*y^10*s^14*t^5+z^16*x^11*y^10*s^14*t^5+z^14*x^14*y^9*s^14*t^5+z^15*x^13*y^9*s^14*t^5+z^16*x^12*y^9*s^14*t^5+z^17*x^11*y^9*s^14*t^5+z^7*x^12*y^15*s^10+z^7*x^13*y^14*s^10+z^8*x^12*y^14*s^10+z^7*x^14*y^13*s^10+z^9*x^12*y^13*s^10+z^7*x^15*y^12*s^10+z^8*x^14*y^12*s^10+z^9*x^13*y^12*s^10+z^10*x^12*y^12*s^10)*(z^6*x^7*y^5*s^6*u^8+z^4*x^6*y^5*s^2*u^8+z^4*x^4*y*s^7*u^7+z^7*x^8*y^7*s^4*u^7+z^4*x^4*y^6*s^3*u^5+z^4*y^5*s^2*u^4+z^8*s^4)*(z*x^3*y^4+x^3*y^3+z^2*x^2*y^3+z*y^3+z*x^3*y^2+z^3*x^3*y+z^2*x^3*y+z*x*y+z^2*x^3)", vars, ctx);
        time = check_omega(17, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#36: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^13*x^11*y^16*s^13*t^13+z^13*x^12*y^15*s^13*t^13+z^14*x^11*y^15*s^13*t^13+z^13*x^13*y^14*s^13*t^13+z^15*x^11*y^14*s^13*t^13+z^13*x^14*y^13*s^13*t^13+z^14*x^13*y^13*s^13*t^13+z^15*x^12*y^13*s^13*t^13+z^16*x^11*y^13*s^13*t^13+x^8*y^13*s^2*t^12+x^9*y^12*s^2*t^12+z*x^8*y^12*s^2*t^12+x^10*y^11*s^2*t^12+z^2*x^8*y^11*s^2*t^12+x^11*y^10*s^2*t^12+z*x^10*y^10*s^2*t^12+z^2*x^9*y^10*s^2*t^12+z^3*x^8*y^10*s^2*t^12+z^11*x^6*y^16*s^6*t^8+z^11*x^7*y^15*s^6*t^8+z^12*x^6*y^15*s^6*t^8+z^11*x^8*y^14*s^6*t^8+z^13*x^6*y^14*s^6*t^8+z^11*x^9*y^13*s^6*t^8+z^12*x^8*y^13*s^6*t^8+z^13*x^7*y^13*s^6*t^8+z^14*x^6*y^13*s^6*t^8+z^5*x^2*y^9*s^11*t^6+z^5*x^3*y^8*s^11*t^6+z^6*x^2*y^8*s^11*t^6+z^5*x^4*y^7*s^11*t^6+z^7*x^2*y^7*s^11*t^6+z^5*x^5*y^6*s^11*t^6+z^6*x^4*y^6*s^11*t^6+z^7*x^3*y^6*s^11*t^6+z^8*x^2*y^6*s^11*t^6+z^14*x^5*y^9*s^14*t+z^14*x^6*y^8*s^14*t+z^15*x^5*y^8*s^14*t+z^14*x^7*y^7*s^14*t+z^16*x^5*y^7*s^14*t+z^14*x^8*y^6*s^14*t+z^15*x^7*y^6*s^14*t+z^16*x^6*y^6*s^14*t+z^17*x^5*y^6*s^14*t+z^12*x^9*y^17*s^14+z^12*x^10*y^16*s^14+z^13*x^9*y^16*s^14+z^12*x^11*y^15*s^14+z^14*x^9*y^15*s^14+z^12*x^12*y^14*s^14+z^13*x^11*y^14*s^14+z^14*x^10*y^14*s^14+z^15*x^9*y^14*s^14)*(z^6*x^4*s^4*u^7+z^3*y*u^6+z^4*x^4*y*s^5*u^5+z^4*x^4*y^3*s^4*u^5+z^3*x^5*y^3*s^7*u^4+z^7*y*s^5*u^3+z^4*y^7*s^5)*(z^3*y^3+z*x^2*y^2+z^3*x^3*y+z*x^3*y+z^3*x*y+x^2+z^3)", vars, ctx);
        time = check_omega(19, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#37: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x^13*y^15*s^8*t^13+z^5*x^14*y^14*s^8*t^13+z^6*x^13*y^14*s^8*t^13+z^5*x^15*y^13*s^8*t^13+z^7*x^13*y^13*s^8*t^13+z^5*x^16*y^12*s^8*t^13+z^6*x^15*y^12*s^8*t^13+z^7*x^14*y^12*s^8*t^13+z^8*x^13*y^12*s^8*t^13+z^3*x*y^6*t^11+z^3*x^2*y^5*t^11+z^4*x*y^5*t^11+z^3*x^3*y^4*t^11+z^5*x*y^4*t^11+z^3*x^4*y^3*t^11+z^4*x^3*y^3*t^11+z^5*x^2*y^3*t^11+z^6*x*y^3*t^11+z^5*x^6*y^16*s^5*t^9+z^5*x^7*y^15*s^5*t^9+z^6*x^6*y^15*s^5*t^9+z^5*x^8*y^14*s^5*t^9+z^7*x^6*y^14*s^5*t^9+z^5*x^9*y^13*s^5*t^9+z^6*x^8*y^13*s^5*t^9+z^7*x^7*y^13*s^5*t^9+z^8*x^6*y^13*s^5*t^9+z^6*x^11*y^6*s^11*t^7+z^6*x^12*y^5*s^11*t^7+z^7*x^11*y^5*s^11*t^7+z^6*x^13*y^4*s^11*t^7+z^8*x^11*y^4*s^11*t^7+z^6*x^14*y^3*s^11*t^7+z^7*x^13*y^3*s^11*t^7+z^8*x^12*y^3*s^11*t^7+z^9*x^11*y^3*s^11*t^7+z^3*x^14*y^16*s^2*t^3+z^3*x^15*y^15*s^2*t^3+z^4*x^14*y^15*s^2*t^3+z^3*x^16*y^14*s^2*t^3+z^5*x^14*y^14*s^2*t^3+z^3*x^17*y^13*s^2*t^3+z^4*x^16*y^13*s^2*t^3+z^5*x^15*y^13*s^2*t^3+z^6*x^14*y^13*s^2*t^3)*(x^4*y*s^6*u^3+x*y^2*s^4*u^3+x^3*y*s^4*u+x*y^4*u+x^5*y^4*s^4+z^6*y^4*s^3+x*y^6)*(z*y^2+z*x^3*y+z^3*y+1*y+z*x+z^2)", vars, ctx);
        time = check_omega(17, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#38: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x^14*y^17*s^6*t^12+z^5*x^15*y^16*s^6*t^12+z^6*x^14*y^16*s^6*t^12+z^5*x^16*y^15*s^6*t^12+z^7*x^14*y^15*s^6*t^12+z^5*x^17*y^14*s^6*t^12+z^6*x^16*y^14*s^6*t^12+z^7*x^15*y^14*s^6*t^12+z^8*x^14*y^14*s^6*t^12+z^12*x^4*y^17*s^6*t^10+z^12*x^5*y^16*s^6*t^10+z^13*x^4*y^16*s^6*t^10+z^12*x^6*y^15*s^6*t^10+z^14*x^4*y^15*s^6*t^10+z^12*x^7*y^14*s^6*t^10+z^13*x^6*y^14*s^6*t^10+z^14*x^5*y^14*s^6*t^10+z^15*x^4*y^14*s^6*t^10+z^6*x^5*y^6*s^9*t^9+z^6*x^6*y^5*s^9*t^9+z^7*x^5*y^5*s^9*t^9+z^6*x^7*y^4*s^9*t^9+z^8*x^5*y^4*s^9*t^9+z^6*x^8*y^3*s^9*t^9+z^7*x^7*y^3*s^9*t^9+z^8*x^6*y^3*s^9*t^9+z^9*x^5*y^3*s^9*t^9+z^12*x^12*y^14*s^2*t^6+z^12*x^13*y^13*s^2*t^6+z^13*x^12*y^13*s^2*t^6+z^12*x^14*y^12*s^2*t^6+z^14*x^12*y^12*s^2*t^6+z^12*x^15*y^11*s^2*t^6+z^13*x^14*y^11*s^2*t^6+z^14*x^13*y^11*s^2*t^6+z^15*x^12*y^11*s^2*t^6+z^3*x^12*y^18*s*t^6+z^3*x^13*y^17*s*t^6+z^4*x^12*y^17*s*t^6+z^3*x^14*y^16*s*t^6+z^5*x^12*y^16*s*t^6+z^3*x^15*y^15*s*t^6+z^4*x^14*y^15*s*t^6+z^5*x^13*y^15*s*t^6+z^6*x^12*y^15*s*t^6+z^6*x^14*y^13*s^2*t+z^6*x^15*y^12*s^2*t+z^7*x^14*y^12*s^2*t+z^6*x^16*y^11*s^2*t+z^8*x^14*y^11*s^2*t+z^6*x^17*y^10*s^2*t+z^7*x^16*y^10*s^2*t+z^8*x^15*y^10*s^2*t+z^9*x^14*y^10*s^2*t)*(z^4*x^6*y^7*s*u^7+z^6*x^4*y^2*u^6+z*x*s^3*u^5+z^3*x*y*s^7*u^2+z^2*y^2*s^5*u^2+z^3*x*y^4*s^7*u+z^5*x*y*s*u)*(x^3*y^3+z*x^2*y^3+z^2*x*y^3+z^2*x^2*y^2+z*x^2*y^2)", vars, ctx);
        time = check_omega(23, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#39: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^5*x^10*y^13*s^5*t^11+z^5*x^11*y^12*s^5*t^11+z^6*x^10*y^12*s^5*t^11+z^5*x^12*y^11*s^5*t^11+z^7*x^10*y^11*s^5*t^11+z^5*x^13*y^10*s^5*t^11+z^6*x^12*y^10*s^5*t^11+z^7*x^11*y^10*s^5*t^11+z^8*x^10*y^10*s^5*t^11+z^8*x^2*y^15*s^3*t^11+z^8*x^3*y^14*s^3*t^11+z^9*x^2*y^14*s^3*t^11+z^8*x^4*y^13*s^3*t^11+z^10*x^2*y^13*s^3*t^11+z^8*x^5*y^12*s^3*t^11+z^9*x^4*y^12*s^3*t^11+z^10*x^3*y^12*s^3*t^11+z^11*x^2*y^12*s^3*t^11+z^14*x^14*y^5*s^14*t^10+z^14*x^15*y^4*s^14*t^10+z^15*x^14*y^4*s^14*t^10+z^14*x^16*y^3*s^14*t^10+z^16*x^14*y^3*s^14*t^10+z^14*x^17*y^2*s^14*t^10+z^15*x^16*y^2*s^14*t^10+z^16*x^15*y^2*s^14*t^10+z^17*x^14*y^2*s^14*t^10+z*x^12*y^11*s*t^7+z*x^13*y^10*s*t^7+z^2*x^12*y^10*s*t^7+z*x^14*y^9*s*t^7+z^3*x^12*y^9*s*t^7+z*x^15*y^8*s*t^7+z^2*x^14*y^8*s*t^7+z^3*x^13*y^8*s*t^7+z^4*x^12*y^8*s*t^7+z^11*x^16*y^13*s^10*t^3+z^11*x^17*y^12*s^10*t^3+z^12*x^16*y^12*s^10*t^3+z^11*x^18*y^11*s^10*t^3+z^13*x^16*y^11*s^10*t^3+z^11*x^19*y^10*s^10*t^3+z^12*x^18*y^10*s^10*t^3+z^13*x^17*y^10*s^10*t^3+z^14*x^16*y^10*s^10*t^3+z^5*x^4*y^6*s^2*t^3+z^5*x^5*y^5*s^2*t^3+z^6*x^4*y^5*s^2*t^3+z^5*x^6*y^4*s^2*t^3+z^7*x^4*y^4*s^2*t^3+z^5*x^7*y^3*s^2*t^3+z^6*x^6*y^3*s^2*t^3+z^7*x^5*y^3*s^2*t^3+z^8*x^4*y^3*s^2*t^3)*(z^4*x^2*y^3*s^5*u^7+z^3*x^6*y^2*s^7*u^6+z^2*x*y*s*u^4+y*s^4*u^3+z^3*x^4*y^3*s^4*u^2+z^7*x*s^6*u+z^5*x^6*y^7*s)*(z*x^2*y^3+z^3*x*y^3+y^2+z*x*y+z^2*y)", vars, ctx);
        time = check_omega(17, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#40: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^8*x^14+z^8*x^12+1*x^12+z^8*x^10+z^6*x^10+z^6*x^8+1*x^8+z^8*x^6+z^8*x^4+1*x^4+z^8*x^2+z^6*x^2+z*x^2+z^10+z^6+z+1)", vars, ctx);
        time = check_omega(1, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#41: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "(z^6*x^10*y^13*s^9*t^12+z^6*x^11*y^12*s^9*t^12+z^7*x^10*y^12*s^9*t^12+z^6*x^12*y^11*s^9*t^12+z^8*x^10*y^11*s^9*t^12+z^6*x^13*y^10*s^9*t^12+z^7*x^12*y^10*s^9*t^12+z^8*x^11*y^10*s^9*t^12+z^9*x^10*y^10*s^9*t^12+z^7*x^2*y^11*s*t^9+z^7*x^3*y^10*s*t^9+z^8*x^2*y^10*s*t^9+z^7*x^4*y^9*s*t^9+z^9*x^2*y^9*s*t^9+z^7*x^5*y^8*s*t^9+z^8*x^4*y^8*s*t^9+z^9*x^3*y^8*s*t^9+z^10*x^2*y^8*s*t^9+z^11*x^10*y^9*s^11*t^7+z^11*x^11*y^8*s^11*t^7+z^12*x^10*y^8*s^11*t^7+z^11*x^12*y^7*s^11*t^7+z^13*x^10*y^7*s^11*t^7+z^11*x^13*y^6*s^11*t^7+z^12*x^12*y^6*s^11*t^7+z^13*x^11*y^6*s^11*t^7+z^14*x^10*y^6*s^11*t^7+z^7*x^2*y^6*s*t^7+z^7*x^3*y^5*s*t^7+z^8*x^2*y^5*s*t^7+z^7*x^4*y^4*s*t^7+z^9*x^2*y^4*s*t^7+z^7*x^5*y^3*s*t^7+z^8*x^4*y^3*s*t^7+z^9*x^3*y^3*s*t^7+z^10*x^2*y^3*s*t^7+z^2*x^13*y^11*t^3+z^2*x^14*y^10*t^3+z^3*x^13*y^10*t^3+z^2*x^15*y^9*t^3+z^4*x^13*y^9*t^3+z^2*x^16*y^8*t^3+z^3*x^15*y^8*t^3+z^4*x^14*y^8*t^3+z^5*x^13*y^8*t^3)*(z^4*y^2*s*u^6+x^4*y^5*u^4+z^5*y^4*s^5*u^3+z^6*x^5*y^6*s^4*u^2+z^6*x^5*y*s^6*u+z^6*x^3*y^6*s^4*u+z^4*x^2*y^2*u)*(z*x^3*y^3+z^3*x^2*y^2+z^2*x^2*y^2+z^3*y^2+z*y+z^3*x)", vars, ctx);
        time = check_omega(19, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        flint_printf("#42: "); fflush(stdout);
        nmod_mpoly_set_str_pretty(a, "x^4120 + x^4118*y^2 + x^3708*y^400 + x^3706*y^402 + x^2781*y^1300 + x^2779*y^1302 + x^1339*y^2700 + x^927*y^3100 + y^4000 + x^7172*y^4167 + x^8349*y^4432 + x^8347*y^4434 + x^6760*y^4567 + x^5833*y^5467 + x^5568*y^7132 + x^11401*y^8599", vars, ctx);
        time = check_omega(2, a, vars, ctx);
        flint_printf("%wd\n", time);
        total_time += time;

        nmod_mpoly_clear(a, ctx);
        nmod_mpoly_ctx_clear(ctx);
    }
    flint_printf("total_time: %wd\n", total_time);

    for (k = 0; k <= 4; k++)
    {
        mp_limb_t ps[] = {2, 3, 11, 257, 43051};

        flint_printf("\n------ 4 variables, characteristic %wu ------\n", ps[k]);
        total_time = 0;
        {
            nmod_mpoly_ctx_t ctx;
            nmod_mpoly_t a, b, c;
            const char * vars[] = {"x","y","z","t"};

            nmod_mpoly_ctx_init(ctx, 4, ORD_LEX, ps[k]);
            nmod_mpoly_init(a, ctx);
            nmod_mpoly_init(b, ctx);
            nmod_mpoly_init(c, ctx);

            for (i = 1; i <= 20; i++)
            {
                nmod_mpoly_set_str_pretty(a, "1+x+y+z+t", vars, ctx);
                nmod_mpoly_pow_ui(c, a, i, ctx);
                nmod_mpoly_set_str_pretty(a, "x", vars, ctx);
                nmod_mpoly_add(a, a, c, ctx);
                nmod_mpoly_set_str_pretty(b, "y", vars, ctx);
                nmod_mpoly_add(b, b, c, ctx);
                nmod_mpoly_mul(c, a, b, ctx);
                flint_printf("#%wd: ", i); fflush(stdout);
                time = check_omega(2, c, vars, ctx);
                flint_printf("%wd\n", time);
                total_time += time;
            }

            nmod_mpoly_clear(a, ctx);
            nmod_mpoly_clear(b, ctx);
            nmod_mpoly_clear(c, ctx);
            nmod_mpoly_ctx_clear(ctx);
        }
        flint_printf("total_time: %wd\n", total_time);
    }

    flint_cleanup_master();
    return 0;
}