files / problems / kissing-5d / compute / q3 / sphere_types.json

8.4 KB · on GitHub

{
  "2": {
    "d": 2,
    "n": 200,
    "n_d5": 40,
    "n_extras": 160,
    "thresh": 4,
    "type_stats": {
      "(1, 1, 1, 1, 2)": {
        "n": 160,
        "min_d5_deg": 36,
        "max_d5_deg": 36,
        "d5_deg_hist": {
          "36": 160
        }
      }
    },
    "max_d5_deg_of_extra": 36,
    "n1_max": 36,
    "min_extras_for_41": 5,
    "n_missed_groups": 160,
    "group_size_hist": {
      "1": 160
    },
    "same_missed_groups": {
      "n": 160,
      "complete": true,
      "any_hit": false,
      "max_best": 1,
      "sample": [
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 4,
          "n1": 36,
          "n_extras": 1,
          "target": 5,
          "best": 1,
          "found": false,
          "complete": true
        }
      ]
    },
    "cross_n1_35": {
      "n_four_sets": 160,
      "tried": 0,
      "found": false,
      "complete": true,
      "best_total": 0
    },
    "mixed_n1_34": {
      "tried": 0,
      "found": false,
      "complete": true,
      "best_total": 0
    },
    "constructed_ge41": [],
    "found_41": false,
    "n1_36_empty": true,
    "comment": "Every extra kisses at most 36 of the 40 D5 roots. A 41-set therefore uses at least 5 extras.  Same-missed-set groups settle the n1 = 40-|M| slices (in particular n1=36).  Lower-n1 mixed missed-sets are a separate search."
  },
  "3": {
    "d": 3,
    "n": 1240,
    "n_d5": 40,
    "n_extras": 1200,
    "thresh": 9,
    "type_stats": {
      "(0, 0, 1, 1, 4)": {
        "n": 240,
        "min_d5_deg": 34,
        "max_d5_deg": 34,
        "d5_deg_hist": {
          "34": 240
        }
      },
      "(0, 1, 2, 2, 3)": {
        "n": 960,
        "min_d5_deg": 36,
        "max_d5_deg": 36,
        "d5_deg_hist": {
          "36": 960
        }
      }
    },
    "max_d5_deg_of_extra": 36,
    "n1_max": 36,
    "min_extras_for_41": 5,
    "n_missed_groups": 1200,
    "group_size_hist": {
      "1": 1200
    },
    "same_missed_groups": {
      "n": 1200,
      "complete": true,
      "any_hit": false,
      "max_best": 1,
      "sample": [
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 1,
          "target": 7,
          "best": 1,
          "found": false,
          "complete": true
        }
      ]
    },
    "cross_n1_35": {
      "n_four_sets": 960,
      "tried": 0,
      "found": false,
      "complete": true,
      "best_total": 0
    },
    "mixed_n1_34": {
      "tried": 240,
      "found": false,
      "complete": true,
      "best_total": 0
    },
    "constructed_ge41": [],
    "found_41": false,
    "n1_36_empty": true,
    "comment": "Every extra kisses at most 36 of the 40 D5 roots. A 41-set therefore uses at least 5 extras.  Same-missed-set groups settle the n1 = 40-|M| slices (in particular n1=36).  Lower-n1 mixed missed-sets are a separate search."
  },
  "4": {
    "d": 4,
    "n": 1480,
    "n_d5": 40,
    "n_extras": 1440,
    "thresh": 16,
    "type_stats": {
      "(1, 1, 1, 2, 5)": {
        "n": 640,
        "min_d5_deg": 36,
        "max_d5_deg": 36,
        "d5_deg_hist": {
          "36": 640
        }
      },
      "(1, 2, 3, 3, 3)": {
        "n": 640,
        "min_d5_deg": 34,
        "max_d5_deg": 34,
        "d5_deg_hist": {
          "34": 640
        }
      },
      "(2, 2, 2, 2, 4)": {
        "n": 160,
        "min_d5_deg": 36,
        "max_d5_deg": 36,
        "d5_deg_hist": {
          "36": 160
        }
      }
    },
    "max_d5_deg_of_extra": 36,
    "n1_max": 36,
    "min_extras_for_41": 5,
    "n_missed_groups": 240,
    "group_size_hist": {
      "5": 160,
      "8": 80
    },
    "same_missed_groups": {
      "n": 240,
      "complete": true,
      "any_hit": false,
      "max_best": 1,
      "sample": [
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        },
        {
          "missed": 6,
          "n1": 34,
          "n_extras": 8,
          "target": 7,
          "best": 1,
          "nodes": 2,
          "found": false,
          "complete": true
        }
      ]
    },
    "cross_n1_35": {
      "n_four_sets": 160,
      "tried": 320,
      "found": false,
      "complete": true,
      "best_total": 36
    },
    "mixed_n1_34": {
      "tried": 80,
      "found": false,
      "complete": true,
      "best_total": 35
    },
    "constructed_ge41": [],
    "found_41": false,
    "n1_36_empty": true,
    "comment": "Every extra kisses at most 36 of the 40 D5 roots. A 41-set therefore uses at least 5 extras.  Same-missed-set groups settle the n1 = 40-|M| slices (in particular n1=36).  Lower-n1 mixed missed-sets are a separate search."
  }
}