rank 4: candidates z>=0 with G z >= -neg in [0,4]^3: 8, max coordinate used 1
rank 4, d=1: 1 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=2: 8 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=3: 27 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=4: 64 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=5: 125 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=6: 216 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=7: 343 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=8: 512 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=9: 729 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=10: 1000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=11: 1331 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=12: 1728 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=13: 2197 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=14: 2744 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=15: 3375 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=16: 4096 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=17: 4913 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=18: 5832 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=19: 6859 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=20: 8000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=21: 9261 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=22: 10648 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=23: 12167 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=24: 13824 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=25: 15625 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=26: 17576 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=27: 19683 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=28: 21952 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=29: 24389 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=30: 27000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=31: 29791 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=32: 32768 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=33: 35937 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=34: 39304 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=35: 42875 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=36: 46656 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=37: 50653 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=38: 54872 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=39: 59319 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=40: 64000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.0s
rank 4, d=41: 68921 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=42: 74088 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=43: 79507 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=44: 85184 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=45: 91125 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=46: 97336 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=47: 103823 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=48: 110592 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=49: 117649 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=50: 125000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=51: 132651 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=52: 140608 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.1s
rank 4, d=53: 148877 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=54: 157464 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=55: 166375 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=56: 175616 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=57: 185193 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=58: 195112 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=59: 205379 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=60: 216000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.2s
rank 4, d=61: 226981 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.3s
rank 4, d=62: 238328 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.3s
rank 4, d=63: 250047 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.3s
rank 4, d=64: 262144 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.3s
rank 4, d=65: 274625 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.3s
rank 4, d=66: 287496 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.4s
rank 4, d=67: 300763 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.4s
rank 4, d=68: 314432 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.4s
rank 4, d=69: 328509 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.4s
rank 4, d=70: 343000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.4s
rank 4, d=71: 357911 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.5s
rank 4, d=72: 373248 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.5s
rank 4, d=73: 389017 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.5s
rank 4, d=74: 405224 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.6s
rank 4, d=75: 421875 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.6s
rank 4, d=76: 438976 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.6s
rank 4, d=77: 456533 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.7s
rank 4, d=78: 474552 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.7s
rank 4, d=79: 493039 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.7s
rank 4, d=80: 512000 classes x=k/d, without integer z (z>=0, candidate list): 0 ; 0.8s
