# we-solve referenced research prompt v2
{
  "schema": "we-solve.research-prompt-codec.v2",
  "instructions": "The template contains all rules and the output form. Join parts in order: strings are literal context; integers select template fragments. Then read the quoted source URL in that text. The copy button assembles the full prompt.",
  "template_url": "https://we-solve.github.io/prompts/templates/5035f52faf49f145e05ba8a2aa4eb22369997f2d88c875bc307955da41f0ffea.txt",
  "parts": [
    "",
    3,
    "https://we-solve.github.io/problems/the-ell-2-betti-spectrum-of-the-lamplighter-group/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_273c1b1eb5e38827f3b8fa13fbb073379c03071e4f4f44952fb495e1926e4a75]]\n",
    2,
    "\n\n# we-solve research prompt: Math-4804, The $\\ell^2$-Betti Spectrum of the Lamplighter Group\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/the-ell-2-betti-spectrum-of-the-lamplighter-group/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_273c1b1eb5e38827f3b8fa13fbb073379c03071e4f4f44952fb495e1926e4a75]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_2bf2e9c0bdd94b3cba9a003a729d5544",
    1,
    ""
  ]
}