{"schema":"vela.problem-packet.v0.1","problem":1150,"statement":"Does there exist a constant $c>0$ such that, for all large $n$ and all polynomials $P$ of degree $n$ with coefficients $\\pm 1$,\\[\\max_{\\lvert z\\rvert=1}\\lvert P(z)\\rvert > (1+c)\\sqrt{n}?\\]","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[{"id":"att_4dbcdc1efb61f57b","kind":"dead_end","claim":"attempted via frontier '?' (transfer_strength=n/a) -> no_progress","grade":"honest_null","gateStatus":"needs_verification","superseded":false}],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}