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The child packet tensor combines target coefficients and source substitutions

Within one packet and group g, multiply its row affine factors and extract the coefficient prescribed by beta for modes TARGETED at g. Multiply this by product L_Z(X)^(beta_Z) for modes whose SOURCE is g. That product is the child packet entry modulo 2^p_t. Each mode has one target and one source, so each coefficient choice and each substitution occurs exactly once. With no target rows, a positive target exponent gives zero. With an empty source tile, L_Z=0: exponent zero contributes one and positive exponents contribute zero. All these rules also apply to isolated packet vertices.

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Updated 2026-11-08

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Math