reference-coefficients.json

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{
  "source": "https://raw.githubusercontent.com/flatsurf/surface-dynamics/master/surface_dynamics/flat_surfaces/masur_veech_volumes.py",
  "source_sha256": "b962672624df9c68718e61f7d0e2be0511e94ad058e130e188dd4733ce5db13e",
  "note": "Independent transcription in zeta(2g) normalization; same underlying EMZ data, not independent mathematical derivation. Absent profiles H(2,1,1,1,1) and H(1,1,1,1,1,1) are checked against EMZ Table 1 visually and Table 2 by exact ratios.",
  "rows": [
    {
      "g": 2,
      "mu": "2",
      "component": "hyp",
      "zeta_coefficient": "3/4"
    },
    {
      "g": 2,
      "mu": "1,1",
      "component": "hyp",
      "zeta_coefficient": "2/3"
    },
    {
      "g": 3,
      "mu": "4",
      "component": "hyp",
      "zeta_coefficient": "9/64"
    },
    {
      "g": 3,
      "mu": "4",
      "component": "odd",
      "zeta_coefficient": "7/18"
    },
    {
      "g": 3,
      "mu": "3,1",
      "component": "connected",
      "zeta_coefficient": "16/45"
    },
    {
      "g": 3,
      "mu": "2,2",
      "component": "hyp",
      "zeta_coefficient": "1/10"
    },
    {
      "g": 3,
      "mu": "2,2",
      "component": "odd",
      "zeta_coefficient": "7/32"
    },
    {
      "g": 4,
      "mu": "6",
      "component": "hyp",
      "zeta_coefficient": "25/1536"
    },
    {
      "g": 4,
      "mu": "6",
      "component": "odd",
      "zeta_coefficient": "1/4"
    },
    {
      "g": 4,
      "mu": "6",
      "component": "even",
      "zeta_coefficient": "64/405"
    },
    {
      "g": 3,
      "mu": "2,1,1",
      "component": "connected",
      "zeta_coefficient": "1/4"
    },
    {
      "g": 4,
      "mu": "5,1",
      "component": "connected",
      "zeta_coefficient": "9/35"
    },
    {
      "g": 4,
      "mu": "4,2",
      "component": "odd",
      "zeta_coefficient": "5/42"
    },
    {
      "g": 4,
      "mu": "4,2",
      "component": "even",
      "zeta_coefficient": "45/512"
    },
    {
      "g": 4,
      "mu": "3,3",
      "component": "nonhyp",
      "zeta_coefficient": "5/27"
    },
    {
      "g": 4,
      "mu": "3,3",
      "component": "hyp",
      "zeta_coefficient": "1/105"
    },
    {
      "g": 3,
      "mu": "1,1,1,1",
      "component": "connected",
      "zeta_coefficient": "7/36"
    },
    {
      "g": 4,
      "mu": "4,1,1",
      "component": "connected",
      "zeta_coefficient": "275/1728"
    },
    {
      "g": 4,
      "mu": "3,2,1",
      "component": "connected",
      "zeta_coefficient": "2/15"
    },
    {
      "g": 4,
      "mu": "2,2,2",
      "component": "odd",
      "zeta_coefficient": "155/2304"
    },
    {
      "g": 4,
      "mu": "2,2,2",
      "component": "even",
      "zeta_coefficient": "37/720"
    },
    {
      "g": 4,
      "mu": "3,1,1,1",
      "component": "connected",
      "zeta_coefficient": "124/1215"
    },
    {
      "g": 4,
      "mu": "2,2,1,1",
      "component": "connected",
      "zeta_coefficient": "131/1440"
    }
  ]
}