s1189 — Theorem 8.1 transgression obstruction: house audit of 20 / rank 17 / nullity 3
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  unknowns (dim Hom(V,W))            = 20
  rank(equivariance operator)        = 17
  nullity = dim Hom_S3(V,W)          = 3
  three copy projections in kernel   = True
  and they SPAN it (rank 3, no more) = True
  T_v T_v^T == (sum v_i^2) I_2       = True   [lhs=[[v1**2 + v2**2 + v3**2, 0], [0, v1**2 + v2**2 + v3**2]]]
  character-theoretic dim Hom_S3(V,W) = 3   (independent of the rank computation)
  twisted reading (E_A = E(x)sgn)    : unknowns 20, rank 17, nullity 3
  NEGATIVE CONTROL (target made trivial): nullity 8  (must NOT be 3)
====================================================================================================
  computed 10 · symbolic 0 · receipt 0 · argument 2 · FAILED 0
    PASS  E1_unknowns_20
    PASS  E2_rank_17
    PASS  E3_nullity_3
    PASS  E4a_copy_projections_are_equivariant
    PASS  E4b_copy_projections_span_kernel
    PASS  E5_TvTvT_equals_sumsq_I2
    PASS  E3b_character_count_agrees
    PASS  E6_twist_invariant
    PASS  C1_control_differs
    PASS  C2_trivial_block_breaks_equivariance
  RESULT_HASH 4e8e1efb6bf3607a
  EXIT 0
