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Omni-MATH / Determine all non-negative integral solutions (n₁,n₂,…,n₁₄) if any, apart from permutations, of the Diophantine Equation n₁⁴+n₂⁴+⋯+n₁₄⁴=1599 .

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problem

Determine all non-negative integral solutions (n1,n2,…,n14)(n_1,n_2,\dots , n_{14}) if any, apart from permutations, of the Diophantine Equation n14+n24+⋯+n144=1599n_1^4+n_2^4+\cdots +n_{14}^4=1599 .
Plain-text mathematical notation (without MathML)
Determine all non-negative integral solutions (n₁,n₂,…,n₁₄) if any, apart from permutations, of the Diophantine Equation n₁⁴+n₂⁴+⋯+n₁₄⁴=1599 .
Original LaTeX notation
Determine all non-negative integral solutions $(n_1,n_2,\dots , n_{14})$ if any, apart from permutations, of the Diophantine Equation $n_1^4+n_2^4+\cdots +n_{14}^4=1599$ .

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