# 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/conjecture-7-5-for-non-vanishing-tau-r-g-m-the-absolute-value-tau-r-g-m-depends-only-on-the-fundamental-group-pi-1-m/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_22dc649117485eb130ffe91c924140acba7e1759c127f5f07e9ff887fa375ba5]]\n",
    2,
    "\n\n# we-solve research prompt: Math-5729, Conjecture 7.5 — For non-vanishing $\\tau_r^G(M)$, the absolute value $|\\tau_r^G(M)|$ depends only on the fundamental group $\\pi_1(M)$.\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/conjecture-7-5-for-non-vanishing-tau-r-g-m-the-absolute-value-tau-r-g-m-depends-only-on-the-fundamental-group-pi-1-m/).\n\n",
    0,
    "[[WE_SOLVE_STATEMENT_22dc649117485eb130ffe91c924140acba7e1759c127f5f07e9ff887fa375ba5]]\n>>>\n",
    5,
    "- None yet.\n",
    4,
    "prb_6f8a8926433944538b59f035dd5cd878",
    1,
    ""
  ]
}