entries.json

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1286 bytes, as of the version from 2026-10-16 09:47 (current). Recorded here, not run.

{
  "0": {
    "3": {
      "number": "1",
      "comment": "The hyperbolic pair of pants is determined by its three boundary lengths, so its moduli space has volume $1$."
    },
    "4": "1/2*L1^2 + 1/2*L2^2 + 1/2*L3^2 + 1/2*L4^2 + 2*p^2",
    "5": "1/8*L1^4 + 1/2*L1^2*L2^2 + 1/8*L2^4 + 1/2*L1^2*L3^2 + 1/2*L2^2*L3^2 + 1/8*L3^4 + 1/2*L1^2*L4^2 + 1/2*L2^2*L4^2 + 1/2*L3^2*L4^2 + 1/8*L4^4 + 1/2*L1^2*L5^2 + 1/2*L2^2*L5^2 + 1/2*L3^2*L5^2 + 1/2*L4^2*L5^2 + 1/8*L5^4 + 3*L1^2*p^2 + 3*L2^2*p^2 + 3*L3^2*p^2 + 3*L4^2*p^2 + 3*L5^2*p^2 + 10*p^4"
  },
  "1": {
    "1": {
      "number": "1/48*L1^2 + 1/12*p^2",
      "comment": "The factor $1/2$ from the generic elliptic involution is included."
    },
    "2": "1/192*L1^4 + 1/96*L1^2*L2^2 + 1/192*L2^4 + 1/12*L1^2*p^2 + 1/12*L2^2*p^2 + 1/4*p^4",
    "3": "1/1152*L1^6 + 1/192*L1^4*L2^2 + 1/192*L1^2*L2^4 + 1/1152*L2^6 + 1/192*L1^4*L3^2 + 1/96*L1^2*L2^2*L3^2 + 1/192*L2^4*L3^2 + 1/192*L1^2*L3^4 + 1/192*L2^2*L3^4 + 1/1152*L3^6 + 1/24*L1^4*p^2 + 1/8*L1^2*L2^2*p^2 + 1/24*L2^4*p^2 + 1/8*L1^2*L3^2*p^2 + 1/8*L2^2*L3^2*p^2 + 1/24*L3^4*p^2 + 13/24*L1^2*p^4 + 13/24*L2^2*p^4 + 13/24*L3^2*p^4 + 14/9*p^6"
  },
  "2": {
    "0": "43/2160*p^6",
    "1": "1/442368*L1^8 + 29/138240*L1^6*p^2 + 139/23040*L1^4*p^4 + 169/2880*L1^2*p^6 + 29/192*p^8"
  }
}