9 problems

Standard-Vandermonde value conjecture. For $n \geq 2$,

Unified row-shifted second-power lattice conjecture. For $n \geq 2$,

Multiplication-table lattice value conjecture. For $n \geq 2$,

Harmonic APD relation. For $n \geq 1$,

Hilbert-matrix first appearance value conjecture. For $n \geq 2$,

Row-shifted second-power lattice value conjecture. For $n \geq 2$,

Row-shifted second-power lattice degree conjecture. For $n \geq 2$ and any positive integer $d$,

Standard-circulant first appearance value conjecture. For $n \geq 2$,

Standard-circulant first appearance degree conjecture. For $n \geq 2$,