TFPT scientific source excerpt Original repository path: documents/archive--paper-latex--tfpt-42/sections/005-subsection-internal-carrier-stabilizer-and-one-family-pa.tex Original file SHA-256: 3348bf35cc05750e1ee198a772ff3278ef92797b9a83cd36b6ce2483300205e8 Inclusive original lines: 44-61 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000044 | \[ 000045 | \gamma=\tr_EY^2=\frac56, 000046 | \qquad 000047 | B=\frac{\rank E_3}{\rank E_2}=\frac32. 000048 | \] 000049 | \begin{corollary}[Carrier norm from the carrier polynomial] 000050 | The carrier polynomial already fixes 000051 | \[ 000052 | \gamma=\tr_EY^2=\frac16\tr_E(Y+\mathbf 1)=\frac56, 000053 | \] 000054 | since $\tr_EY=0$ and $\rank E=5$. 000055 | \end{corollary} 000056 | 000057 | \begin{corollary}[Minimal carrier compression] 000058 | \label{cor:minimal-carrier-compression} 000059 | On the minimal carrier branch, 000060 | \[ 000061 | B\gamma=\frac32\cdot\frac56=\frac54.