{"schema_version":"ocme-site-results-v1","locale":"en","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-quadratic-residue"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-quadratic-residue-01","title":{"zh-Hant":"完整模7平方表","en":"The complete nonzero square table modulo 7"},"summary":{"zh-Hant":"模7非零平方剩餘為{1,2,4}；−5≡2有根3、4，3無根。","en":"Modulo 7, the nonzero quadratic residues are {1,2,4}; the class of -5 equals the class of 2 and has root classes 3 and 4, while 3 has no square root modulo 7."},"mko_ids":["mko-quadratic-residue"]}],"title":"Concept derivation guides"}