p=4 d=1: n0=4 certificate_ok=True minimal=True real_roots~[0.0, 0.0, 1.0, 3.0]
p=4 d=2: n0=20 certificate_ok=True minimal=True real_roots~[0.0, 0.0, 1.0, 19.0]
p=4 d=3: n0=54 certificate_ok=True minimal=True real_roots~[-1.0, 0.0, 1.0, 53.0]
p=4 d=4: n0=121 certificate_ok=True minimal=True real_roots~[-1.0, 0.0, 1.0, 120.0]
p=4 d=5: n0=245 certificate_ok=True minimal=True real_roots~[-2.0, 0.0, 1.0, 244.0]
p=4 d=6: n0=469 certificate_ok=True minimal=True real_roots~[-4.0, 0.0, 1.0, 468.0]
p=4 d=8: n0=1539 certificate_ok=True minimal=True real_roots~[-9.0, 0.0, 1.0, 1538.0]
p=4 d=10: n0=4673 certificate_ok=True minimal=True real_roots~[-20.0, 0.0, 1.0, 4672.0]
p=6 d=1: n0=3 certificate_ok=True minimal=True real_roots~[-5.0, 0.0, 1.0, 2.0]
p=6 d=2: n0=8 certificate_ok=True minimal=True real_roots~[-10.0, 0.0, 0.0, 0.333, 1.0, 7.0]
p=6 d=3: n0=16 certificate_ok=True minimal=True real_roots~[-16.0, -1.0, 0.0, 0.0, 1.0, 15.0]
p=6 d=4: n0=26 certificate_ok=True minimal=True real_roots~[-26.0, -2.0, 0.0, 0.0, 1.0, 25.0]
p=6 d=5: n0=41 certificate_ok=True minimal=True real_roots~[-39.0, -4.0, 0.0, 0.0, 1.0, 40.0]
p=8 d=1: n0=3 certificate_ok=True minimal=True real_roots~[0.0, 0.0, 1.0, 2.0]
p=8 d=2: n0=6 certificate_ok=True minimal=True real_roots~[0.0, 0.0, 1.0, 5.0]
p=8 d=3: n0=11 certificate_ok=True minimal=True real_roots~[-2.0, 0.0, 1.0, 10.0]
p=8 d=4: n0=16 certificate_ok=True minimal=True real_roots~[-4.0, 0.0, 0.0, 0.5, 1.0, 15.0]
p=10 d=1: n0=3 certificate_ok=True minimal=True real_roots~[-5.0, 0.0, 0.0, 0.5, 1.0, 2.0]
p=10 d=2: n0=5 certificate_ok=True minimal=True real_roots~[-7.0, -1.0, 0.0, 0.0, 1.0, 4.0]
p=10 d=3: n0=9 certificate_ok=True minimal=True real_roots~[-9.0, -2.0, 0.0, 0.0, 1.0, 8.0]
