PASS complete lattice basis and order 21 mod seven
PASS full length-three eigenchain and nonzero socle-to-top pairing
PASS exact images of three generators
PASS 343 exact arithmetic unit carries
PASS full 343-point orbit decomposition {1: 1, 21: 16, 3: 2}
PASS embedded seven-point socle packet
PASS semisimple order three and nontrivial order-seven shear
PASS complementary dual character has a full 21-step orbit
PASS lattice-avoidance arithmetic for conductor-three packet
Exact audit passed, with no Gamma algebraicity claim.