files / problems / hilbert16-degree-8 / compute / certs / mcert_collections.json

32 KB · on GitHub

{
 "<5v1<1>v1<14>>": {
  "cert": "deg8/o22-p07-n15/(5v1(1)v1(14)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 1,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     4
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     5,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     1
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     2,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     2,
     2
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     2,
     5
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     4,
     2
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     5,
     1
    ],
    [
     6,
     0
    ]
   ]
  ]
 },
 "<5v1<14v1<1>>>": {
  "cert": "deg8/o22-p07-n15/(5v1(14v1(1))).pcom",
  "nsplits": 17,
  "sign_equivalence": {
   "eps": 1,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     7
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     5,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     6,
     2
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     3
    ],
    [
     0,
     6
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     2,
     3
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     1
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     6,
     1
    ],
    [
     4,
     4
    ]
   ]
  ]
 },
 "<5v1<2>v1<13>>": {
  "cert": "deg8/o22-p07-n15/(5v1(2)v1(13)).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     1,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     3,
     2
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     3,
     2
    ],
    [
     5,
     3
    ]
   ]
  ]
 },
 "<5v1<3>v1<12>>": {
  "cert": "deg8/o22-p07-n15/(5v1(3)v1(12)).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 1,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     2,
     3
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     3
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<5v1<4>v1<11>>": {
  "cert": "deg8/o22-p07-n15/(5v1(4)v1(11)).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     2,
     3
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     2,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     3
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<5v1<5>v1<10>>": {
  "cert": "deg8/o22-p07-n15/(5v1(5)v1(10)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     4,
     0
    ],
    [
     2,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     2,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     3
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<5v1<7>v1<8>>": {
  "cert": "deg8/o22-p07-n15/(5v1(7)v1(8)).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     2
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     1,
     2
    ],
    [
     5,
     3
    ]
   ]
  ]
 },
 "<6v1<15>>": {
  "cert": "deg8/o22-p07-n15/(6v1(15)).pcom",
  "nsplits": 20,
  "sign_equivalence": {
   "eps": 1,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     5
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     1,
     1
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     4
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     5
    ],
    [
     0,
     8
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     5
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     1,
     6
    ],
    [
     3,
     5
    ]
   ]
  ]
 },
 "<10v1<11>>": {
  "cert": "deg8/o22-p11-n11/(10v1(11)).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 1,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     7
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     6,
     2
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     2
    ],
    [
     0,
     4
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     2
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     3,
     4
    ],
    [
     6,
     0
    ]
   ]
  ]
 },
 "<5v1<10v1<5>>>": {
  "cert": "deg8/o22-p11-n11/(5v1(10v1(5))).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     6,
     2
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     2
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     4
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     3,
     4
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     5,
     2
    ],
    [
     6,
     2
    ]
   ]
  ]
 },
 "<6v1<10v1<4>>>": {
  "cert": "deg8/o22-p11-n11/(6v1(10v1(4))).pcom",
  "nsplits": 19,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     2,
     1
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     1
    ],
    [
     5,
     3
    ]
   ]
  ]
 },
 "<7v1<10v1<3>>>": {
  "cert": "deg8/o22-p11-n11/(7v1(10v1(3))).pcom",
  "nsplits": 19,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     4
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     6
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     3
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     5,
     0
    ],
    [
     4,
     2
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<8v1<1>v1<3>v1<7>>": {
  "cert": "deg8/o22-p11-n11/(8v1(1)v1(3)v1(7)).pcom",
  "nsplits": 23,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     3
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     2,
     3
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     3
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<8v1<1>v2<5>>": {
  "cert": "deg8/o22-p11-n11/(8v1(1)v2(5)).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     3
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     3,
     2
    ],
    [
     4,
     4
    ]
   ]
  ]
 },
 "<8v2<1>v1<9>>": {
  "cert": "deg8/o22-p11-n11/(8v2(1)v1(9)).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     2
    ],
    [
     0,
     2
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     2
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     4
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     4
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     5
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     6
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     1
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     3
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     3,
     4
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     5,
     3
    ],
    [
     5,
     2
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<8v2<3>v1<5>>": {
  "cert": "deg8/o22-p11-n11/(8v2(3)v1(5)).pcom",
  "nsplits": 19,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     5
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     6
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     2,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     3
    ],
    [
     5,
     0
    ]
   ]
  ]
 },
 "<9v1<1>v1<10>>": {
  "cert": "deg8/o22-p11-n11/(9v1(1)v1(10)).pcom",
  "nsplits": 23,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     2
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     5,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     6,
     1
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<9v1<10v1<1>>>": {
  "cert": "deg8/o22-p11-n11/(9v1(10v1(1))).pcom",
  "nsplits": 23,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     3
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     5,
     1
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     6,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     6,
     1
    ],
    [
     8,
     0
    ]
   ]
  ]
 },
 "<9v1<2>v1<9>>": {
  "cert": "deg8/o22-p11-n11/(9v1(2)v1(9)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     5
    ],
    [
     0,
     8
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     5
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     2,
     2
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     2,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     3
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     2,
     5
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     4,
     4
    ],
    [
     3,
     3
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     4,
     0
    ],
    [
     5,
     1
    ],
    [
     6,
     0
    ]
   ]
  ]
 },
 "<9v1<3>v1<8>>": {
  "cert": "deg8/o22-p11-n11/(9v1(3)v1(8)).pcom",
  "nsplits": 20,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     2
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     2
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     1,
     2
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     3
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     4
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     6
    ],
    [
     0,
     8
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     2,
     4
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     2,
     5
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     4,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     5,
     2
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     6,
     1
    ],
    [
     5,
     0
    ]
   ]
  ]
 },
 "<9v1<4>v1<7>>": {
  "cert": "deg8/o22-p11-n11/(9v1(4)v1(7)).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 1,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     1
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     4
    ],
    [
     0,
     6
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     3,
     2
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     3,
     2
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     5,
     0
    ],
    [
     4,
     1
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<9v1<5>v1<6>>": {
  "cert": "deg8/o22-p11-n11/(9v1(5)v1(6)).pcom",
  "nsplits": 20,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     2
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     1,
     6
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     4,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     4,
     3
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     6,
     1
    ],
    [
     5,
     0
    ]
   ]
  ]
 },
 "<10v1<6v1<4>>>": {
  "cert": "deg8/o22-p15-n07/(10v1(6v1(4))).pcom",
  "nsplits": 17,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     6
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     5
    ],
    [
     0,
     6
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     5
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     1,
     6
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     2,
     1
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     6,
     2
    ],
    [
     6,
     1
    ],
    [
     8,
     0
    ]
   ]
  ]
 },
 "<11v1<6v1<3>>>": {
  "cert": "deg8/o22-p15-n07/(11v1(6v1(3))).pcom",
  "nsplits": 28,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     5
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     3,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     3,
     3
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     3,
     3
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     6,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     6,
     1
    ],
    [
     5,
     0
    ]
   ]
  ]
 },
 "<12v1<1>v2<3>>": {
  "cert": "deg8/o22-p15-n07/(12v1(1)v2(3)).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     5
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     2
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     4
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     1,
     6
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     2,
     3
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     2,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     5
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<12v2<1>v1<5>>": {
  "cert": "deg8/o22-p15-n07/(12v2(1)v1(5)).pcom",
  "nsplits": 27,
  "sign_equivalence": {
   "eps": 1,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     2
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     4
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     2,
     1
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     2,
     5
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     3,
     2
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     3,
     4
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     4,
     1
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     5,
     1
    ],
    [
     6,
     0
    ]
   ]
  ]
 },
 "<13v1<1>v1<6>>": {
  "cert": "deg8/o22-p15-n07/(13v1(1)v1(6)).pcom",
  "nsplits": 12,
  "sign_equivalence": {
   "eps": 1,
   "i": 0,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     3,
     2
    ],
    [
     5,
     3
    ]
   ]
  ]
 },
 "<13v1<2>v1<5>>": {
  "cert": "deg8/o22-p15-n07/(13v1(2)v1(5)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     0,
     8
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     6,
     2
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     1
    ],
    [
     0,
     3
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     3
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     4
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     8
    ],
    [
     3,
     1
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     6,
     1
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     6,
     1
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     6,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     6,
     1
    ],
    [
     5,
     3
    ]
   ]
  ]
 },
 "<13v1<3>v1<4>>": {
  "cert": "deg8/o22-p15-n07/(13v1(3)v1(4)).pcom",
  "nsplits": 24,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     6
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     0,
     2
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     6
    ],
    [
     0,
     8
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     2,
     3
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     2,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     2,
     5
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     2,
     5
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     4,
     3
    ],
    [
     8,
     0
    ]
   ],
   [
    [
     5,
     0
    ],
    [
     5,
     1
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<13v1<6v1<1>>>": {
  "cert": "deg8/o22-p15-n07/(13v1(6v1(1))).pcom",
  "nsplits": 16,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     5
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     3
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     1
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     3,
     3
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     4,
     0
    ],
    [
     5,
     1
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     5,
     0
    ],
    [
     5,
     1
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<14v1<7>>": {
  "cert": "deg8/o22-p15-n07/(14v1(7)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     5
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     3
    ],
    [
     0,
     4
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     3
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     2,
     5
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     3,
     4
    ],
    [
     4,
     4
    ]
   ]
  ]
 },
 "<6v1<6v1<8>>>": {
  "cert": "deg8/o22-p15-n07/(6v1(6v1(8))).pcom",
  "nsplits": 24,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     1,
     0
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     1,
     7
    ],
    [
     3,
     0
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     5,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     4
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     2,
     6
    ],
    [
     2,
     5
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     2,
     5
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     5,
     3
    ],
    [
     6,
     1
    ],
    [
     7,
     1
    ]
   ]
  ]
 },
 "<9v1<6v1<5>>>": {
  "cert": "deg8/o22-p15-n07/(9v1(6v1(5))).pcom",
  "nsplits": 18,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     4,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     4
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     0,
     6
    ],
    [
     1,
     6
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     3,
     1
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     3,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     4,
     1
    ],
    [
     6,
     2
    ]
   ]
  ]
 },
 "<10v1<2v1<8>>>": {
  "cert": "deg8/o22-p19-n03/(10v1(2v1(8))).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     4,
     0
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     1,
     1
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     2
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     1,
     2
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     6
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     3,
     1
    ],
    [
     6,
     2
    ]
   ]
  ]
 },
 "<16v3<1>>": {
  "cert": "deg8/o22-p19-n03/(16v3(1)).pcom",
  "nsplits": 22,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     0
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     3
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     3
    ],
    [
     0,
     2
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     3
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     3,
     4
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     4
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     5,
     1
    ],
    [
     7,
     0
    ]
   ]
  ]
 },
 "<17v1<1>v1<2>>": {
  "cert": "deg8/o22-p19-n03/(17v1(1)v1(2)).pcom",
  "nsplits": 25,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 0
  },
  "collection": [
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     7,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     2
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     3
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     5
    ],
    [
     0,
     2
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     1,
     5
    ],
    [
     0,
     5
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     3,
     4
    ],
    [
     4,
     4
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     4,
     1
    ],
    [
     6,
     0
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     4,
     1
    ],
    [
     5,
     0
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     5,
     2
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     6,
     0
    ],
    [
     6,
     1
    ],
    [
     6,
     2
    ]
   ]
  ]
 },
 "<17v1<2v1<1>>>": {
  "cert": "deg8/o22-p19-n03/(17v1(2v1(1))).pcom",
  "nsplits": 21,
  "sign_equivalence": {
   "eps": 0,
   "i": 1,
   "j": 1
  },
  "collection": [
   [
    [
     0,
     1
    ],
    [
     3,
     5
    ]
   ],
   [
    [
     0,
     1
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     7
    ],
    [
     1,
     7
    ]
   ],
   [
    [
     1,
     0
    ],
    [
     6,
     2
    ]
   ],
   [
    [
     3,
     0
    ],
    [
     7,
     1
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     1,
     2
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     0,
     2
    ],
    [
     1,
     4
    ],
    [
     0,
     4
    ]
   ],
   [
    [
     0,
     4
    ],
    [
     1,
     5
    ],
    [
     2,
     6
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     6
    ],
    [
     0,
     7
    ]
   ],
   [
    [
     3,
     5
    ],
    [
     3,
     4
    ],
    [
     5,
     3
    ]
   ],
   [
    [
     2,
     0
    ],
    [
     6,
     1
    ],
    [
     6,
     2
    ]
   ]
  ]
 },
 "<18v1<3>>": {
  "cert": "deg8/o22-p19-n03/(18v1(3)).pcom",
  "nsplits": 24,
  "sign_equivalence": {
   "eps": 0,
   "i": 0,
   "j": 0
  },
  "collection": [
   [
    [
     1,
     7
    ],
    [
     7,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     1
    ],
    [
     2,
     0
    ]
   ],
   [
    [
     0,
     0
    ],
    [
     1,
     3
    ],
    [
     0,
     2
    ]
   ],
   [
    [
     0,
     5
    ],
    [
     1,
     5
    ],
    [
     0,
     7
    ]
   ]
  ]
 }
}