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Cosmic9

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Cosmically Normalized Six-Point Amplitudes at Nine Loops Computer-readable files for the symbol and the function of the nine-loop six-gluon MHV amplitude in planar N=4 super-Yang-Mills theory, in the conventions of arXiv:1903.10890 and arXiv:2308.08199 This page is laid out in the style of Lance Dixon's Cosmic page, which holds the six-, seven- and eight-loop amplitudes in this same format. Status. The nine-loop symbol in quintuple-coproduct form below was computed by Claude (Anthropic) by the route of arXiv:2308.08199 carried one loop higher: the nine-loop three-point form factor of the chiral stress-tensor multiplet (in the conventions of arXiv:2204.11901) was bootstrapped, mapped onto the amplitude on the parity-preserving surface Δ = 0 by antipodal duality, and lifted off that surface with the remaining ambiguities fixed by the behaviour at the origin and by the two-gluon flux-tube (pentagon OPE) data at order T2. The form factor is certified over the rationals at three 31-bit pr

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