# 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/problem-2-13-a-it-is-known-from-33-that-h2-mod3-z-and-h2-mod1-3-z-are-either-z-or-z-z2/source/statement.tex\n# Statement token: [[WE_SOLVE_STATEMENT_800bb42e73561f1353c8ff3a4d39ac9442a3e06cfe88dfe194dcaa7f36998224]]\n", 2, "\n\n# we-solve research prompt: Math-5809, Problem 2.13 — (a) It is known from [33] that H2(Mod3; Z) and H2(Mod1 3; Z) are either Z or ZāŠ• Z2.\n\nWork on the problem below and prepare a contribution for we-solve (https://we-solve.github.io/problems/problem-2-13-a-it-is-known-from-33-that-h2-mod3-z-and-h2-mod1-3-z-are-either-z-or-z-z2/).\n\n", 0, "[[WE_SOLVE_STATEMENT_800bb42e73561f1353c8ff3a4d39ac9442a3e06cfe88dfe194dcaa7f36998224]]\n>>>\n", 5, "- None yet.\n", 4, "prb_33bd6552fc4d4b97a9cf3dbfebe803e3", 1, "" ] }