Passes 3795–3812

Exact plane-ovoid dictionary, complete 200-ovoid coherent configuration, rootless axial Leech polarization, finite descent, and intrinsic axial classification.

PASS_3795_3812 be5ee56a84141a7bbc896b4cef0e8eda32167a00749dbb17f10d24d0505bdd41

W33 transport

51,840 isomorphisms; one canonical 40-point dictionary; all 40 four-point lines and 36 ten-line spreads transported to the plane ovoids.

200-ovoid scheme

Fibers 40+160; 19 ordered-pair orbitals; a 19×19×19 intersection tensor with 405 nonzero entries and five-dimensional center modulo 1,000,003.

Rootless Leech

Binary Golay [24,12,8], 759 octads, determinant one, minimum norm four, and a determinant-one transport to the axial carrier. Exact stabilizer inside U4(2): C2.

Finite descent

Seven degree-45 permutations generate O6−(2)=U4(2):2 of order 51,840; the even subgroup has order 25,920.

Axial presentation

45 axes span 24 dimensions; the 27 line sums generate the full 21-dimensional kernel. Pair subalgebras have dimensions 2 and 4.

Three-axis universality

One orbit of 2,880 triples generates the entire 24-dimensional simple nonunital algebra.

Double-K4 flag reconstruction

Two tripod relations each split into forty K4 blocks. Their 40×40 intersection matrix B has row and column weight four and satisfies B Bᵀ = 4I + AW33, identifying the 160 tripods with the complete W33 flag set.

Exact artifacts

Evidence boundary

No serialized Monster/mmgroup words, Monster class fusion, Majorana/Griess/VOA identification, remote CI/PDF success, hardware result, or physical mechanism is claimed.