2 problems

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Packing minima of the regular simplex lattice
Regular simplex lattice packing-minima conjecture. For every $1\leq j\leq n$ ,
Conjectureopenconvex-geometry lattices packing-minimaarXiv posted 2 days ago
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Packing-minima transference conjecture
Packing-minima transference conjecture. For $1\leq j\leq n$ ,
Conjectureopengeometry-of-numbers packing-minima transferencearXiv posted 2 days ago

Packing minima of the regular simplex lattice