mode cubic: pair laws and copies of the rows (triples)
rep1 pps: 12 designs up to symmetry, 0 with a certificate
rep2 pps: 12 designs up to symmetry, 0 with a certificate
  rep3 pps: certificate, assigned {(0, 1): 'ij', (0, 2): 'js', (1, 2): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
rep3 pps: 12 designs up to symmetry, 1 with a certificate
rep5 pps: 12 designs up to symmetry, 0 with a certificate
rep6 pps: 12 designs up to symmetry, 0 with a certificate
rep7 pps: 12 designs up to symmetry, 0 with a certificate
  rep8 pps: certificate, assigned {(0, 1): 'ij', (0, 2): 'is', (1, 2): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 pps: 12 designs up to symmetry, 1 with a certificate
rep9 pps: 12 designs up to symmetry, 0 with a certificate
rep10 pps: 12 designs up to symmetry, 0 with a certificate
  rep1 ppps: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 3): 'is', (1, 2): 'ij', (1, 3): 'js', (2, 3): 'js'}, triples ((0, 1, 3, 0),), h' at free vertices [-1.0, -0.0]
rep1 ppps: 56 designs up to symmetry, 1 with a certificate
  rep2 ppps: certificate, assigned {(0, 2): 'ij', (0, 3): 'is', (1, 2): 'ij', (1, 3): 'js'}, triples (), h' at free vertices [-0.5, -0.5, -0.0]
rep2 ppps: 56 designs up to symmetry, 1 with a certificate
  rep3 ppps: certificate, assigned {(1, 2): 'ij', (1, 3): 'js', (2, 3): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
  rep3 ppps: certificate, assigned {(0, 3): 'is', (1, 2): 'ij', (1, 3): 'js', (2, 3): 'js'}, triples (), h' at free vertices [-1.0, -1.0]
rep3 ppps: 56 designs up to symmetry, 9 with a certificate
rep5 ppps: 56 designs up to symmetry, 0 with a certificate
rep6 ppps: 56 designs up to symmetry, 0 with a certificate
rep7 ppps: 56 designs up to symmetry, 0 with a certificate
  rep8 ppps: certificate, assigned {(1, 2): 'ij', (1, 3): 'is', (2, 3): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
  rep8 ppps: certificate, assigned {(0, 3): 'is', (1, 2): 'ij', (1, 3): 'is', (2, 3): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 ppps: 56 designs up to symmetry, 9 with a certificate
  rep9 ppps: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 3): 'is', (1, 2): 'ij', (1, 3): 'is', (2, 3): 'js'}, triples ((0, 2, 3, 0),), h' at free vertices [-1.0, 0.5]
rep9 ppps: 56 designs up to symmetry, 1 with a certificate
rep10 ppps: 56 designs up to symmetry, 0 with a certificate
rep1 ppss: 54 designs up to symmetry, 0 with a certificate
rep2 ppss: 54 designs up to symmetry, 0 with a certificate
  rep3 ppss: certificate, assigned {(0, 1): 'ij', (0, 3): 'js', (1, 3): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
  rep3 ppss: certificate, assigned {(0, 1): 'ij', (0, 3): 'js', (1, 2): 'is', (1, 3): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
rep3 ppss: 54 designs up to symmetry, 6 with a certificate
rep5 ppss: 54 designs up to symmetry, 0 with a certificate
rep6 ppss: 54 designs up to symmetry, 0 with a certificate
rep7 ppss: 54 designs up to symmetry, 0 with a certificate
  rep8 ppss: certificate, assigned {(0, 1): 'ij', (0, 3): 'is', (1, 3): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
  rep8 ppss: certificate, assigned {(0, 1): 'ij', (0, 3): 'is', (1, 2): 'is', (1, 3): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 ppss: 54 designs up to symmetry, 6 with a certificate
rep9 ppss: 54 designs up to symmetry, 0 with a certificate
rep10 ppss: 54 designs up to symmetry, 0 with a certificate
  rep1 pppps: certificate, assigned {(1, 2): 'ij', (1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'js', (3, 4): 'js'}, triples ((1, 2, 4, 0),), h' at free vertices [-1.0, 0.5]
  rep1 pppps: certificate, assigned {(0, 4): 'is', (1, 2): 'ij', (1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'js', (3, 4): 'js'}, triples ((1, 2, 4, 0),), h' at free vertices [-1.0, -0.0]
rep1 pppps: 357 designs up to symmetry, 16 with a certificate
  rep2 pppps: certificate, assigned {(1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'js'}, triples (), h' at free vertices [-0.5, -0.5, -0.0]
  rep2 pppps: certificate, assigned {(0, 4): 'is', (1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'js'}, triples (), h' at free vertices [-0.5, -0.5, -0.0]
rep2 pppps: 357 designs up to symmetry, 11 with a certificate
  rep3 pppps: certificate, assigned {(2, 3): 'ij', (2, 4): 'js', (3, 4): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
  rep3 pppps: certificate, assigned {(1, 4): 'is', (2, 3): 'ij', (2, 4): 'js', (3, 4): 'js'}, triples (), h' at free vertices [-1.0, -1.0]
rep3 pppps: 357 designs up to symmetry, 89 with a certificate
rep5 pppps: 357 designs up to symmetry, 0 with a certificate
rep6 pppps: 357 designs up to symmetry, 0 with a certificate
rep7 pppps: 357 designs up to symmetry, 0 with a certificate
  rep8 pppps: certificate, assigned {(2, 3): 'ij', (2, 4): 'is', (3, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
  rep8 pppps: certificate, assigned {(1, 4): 'is', (2, 3): 'ij', (2, 4): 'is', (3, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 pppps: 357 designs up to symmetry, 89 with a certificate
  rep9 pppps: certificate, assigned {(1, 2): 'ij', (1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'is', (3, 4): 'js'}, triples ((1, 3, 4, 0),), h' at free vertices [-1.0, 0.5]
  rep9 pppps: certificate, assigned {(0, 4): 'is', (1, 2): 'ij', (1, 3): 'ij', (1, 4): 'is', (2, 3): 'ij', (2, 4): 'is', (3, 4): 'js'}, triples ((1, 3, 4, 0),), h' at free vertices [-1.0, -0.0]
rep9 pppps: 357 designs up to symmetry, 16 with a certificate
rep10 pppps: 357 designs up to symmetry, 0 with a certificate
  rep1 pppss: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'js', (2, 4): 'js'}, triples ((0, 1, 4, 0),), h' at free vertices [-1.0, 0.5]
  rep1 pppss: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'js', (2, 3): 'is', (2, 4): 'js'}, triples ((0, 1, 4, 0),), h' at free vertices [-1.0, -0.0]
rep1 pppss: 616 designs up to symmetry, 15 with a certificate
  rep2 pppss: certificate, assigned {(0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'js'}, triples (), h' at free vertices [-0.5, -0.5, -0.0]
  rep2 pppss: certificate, assigned {(0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'js', (2, 3): 'is'}, triples (), h' at free vertices [-0.5, -0.5, -0.0]
rep2 pppss: 616 designs up to symmetry, 16 with a certificate
  rep3 pppss: certificate, assigned {(1, 2): 'ij', (1, 4): 'js', (2, 4): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
  rep3 pppss: certificate, assigned {(1, 2): 'ij', (1, 4): 'js', (2, 3): 'is', (2, 4): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
rep3 pppss: 616 designs up to symmetry, 157 with a certificate
rep5 pppss: 616 designs up to symmetry, 0 with a certificate
rep6 pppss: 616 designs up to symmetry, 0 with a certificate
  rep7 pppss: certificate, assigned {(0, 2): 'ij', (0, 3): 'is', (0, 4): 'js', (1, 2): 'ij', (1, 3): 'js', (1, 4): 'js', (2, 4): 'is'}, triples ((0, 2, 4, 1),), h' at free vertices [-1.0, -1.0]
  rep7 pppss: certificate, assigned {(0, 2): 'ij', (0, 3): 'is', (0, 4): 'js', (1, 2): 'ij', (1, 3): 'js', (1, 4): 'js', (2, 3): 'is', (2, 4): 'is'}, triples ((0, 2, 4, 1),), h' at free vertices [-1.0, -0.5]
rep7 pppss: 616 designs up to symmetry, 2 with a certificate
  rep8 pppss: certificate, assigned {(1, 2): 'ij', (1, 4): 'is', (2, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
  rep8 pppss: certificate, assigned {(1, 2): 'ij', (1, 4): 'is', (2, 3): 'is', (2, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 pppss: 616 designs up to symmetry, 157 with a certificate
  rep9 pppss: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'is', (2, 4): 'js'}, triples ((0, 2, 4, 0),), h' at free vertices [-1.0, 0.5]
  rep9 pppss: certificate, assigned {(0, 1): 'ij', (0, 2): 'ij', (0, 4): 'is', (1, 2): 'ij', (1, 4): 'is', (2, 3): 'is', (2, 4): 'js'}, triples ((0, 2, 4, 0),), h' at free vertices [-1.0, -0.0]
rep9 pppss: 616 designs up to symmetry, 15 with a certificate
rep10 pppss: 616 designs up to symmetry, 0 with a certificate
rep1 ppsss: 184 designs up to symmetry, 0 with a certificate
rep2 ppsss: 184 designs up to symmetry, 0 with a certificate
  rep3 ppsss: certificate, assigned {(0, 1): 'ij', (0, 4): 'js', (1, 4): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
  rep3 ppsss: certificate, assigned {(0, 1): 'ij', (0, 4): 'js', (1, 3): 'is', (1, 4): 'js'}, triples (), h' at free vertices [-0.0, -0.0]
rep3 ppsss: 184 designs up to symmetry, 27 with a certificate
rep5 ppsss: 184 designs up to symmetry, 0 with a certificate
rep6 ppsss: 184 designs up to symmetry, 0 with a certificate
rep7 ppsss: 184 designs up to symmetry, 0 with a certificate
  rep8 ppsss: certificate, assigned {(0, 1): 'ij', (0, 4): 'is', (1, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
  rep8 ppsss: certificate, assigned {(0, 1): 'ij', (0, 4): 'is', (1, 3): 'is', (1, 4): 'is'}, triples (), h' at free vertices [-0.0, -0.0]
rep8 ppsss: 184 designs up to symmetry, 27 with a certificate
rep9 ppsss: 184 designs up to symmetry, 0 with a certificate
rep10 ppsss: 184 designs up to symmetry, 0 with a certificate

real	0m14.962s
user	0m27.892s
sys	0m0.369s
