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 "provenance": {
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  "origin": "submission",
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  "construction": "Balanced/lifted product over Z_3 semidirect-product_2 Z_4, with weight-3 group-ring entries a=1+y^3+x^2y^3, b=1+x+xy^2, c=1+y+xy^3, d=1+y^2+y^3; reproduced from arXiv:2607.27644v1.",
  "model": "GPT 5.6 Sol",
  "references": [
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  "date": "2026-08-02",
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