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  "construction": "Balanced/lifted product over Z_5 semidirect-product_4 Z_4, with weight-3 group-ring entries a=1+x^2y+y^3, b=1+x^2+xy^3, c=1+y^3+x^4y^3, d=1+x^4y^2+xy^3; reproduced from arXiv:2607.27644v1.",
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  "references": [
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  "date": "2026-08-02",
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