PASS epsilon times rho equals one PASS integer lattice inverse PASS unit lattice determinants PASS contracting fixed label carry PASS seven-torsion inverse unit carry PASS forward unit carry PASS epsilon tau on lattice PASS epsilon sigma on lattice PASS epsilon one fifth on lattice PASS rho tau on lattice PASS rho sigma on lattice PASS rho one fifth on lattice PASS carry k=0 PASS carry k=1 PASS carry k=2 PASS carry k=3 PASS carry k=4 PASS carry k=5 PASS carry k=6 PASS conductor points outside fifth-divisor lattice (rational coordinates) PASS two primitive three-cycles and fixed conductor label PASS seven-label permutation spectrum: 1^3, omega^2, omega-bar^2 PASS ambient mod-seven unit has order 21, semisimple torsion slice has order 3 PASS plus primitive ratio X PASS plus primitive ratio Y PASS plus cycle norm PASS plus cubic reconstruction PASS minus primitive ratio X PASS minus primitive ratio Y PASS minus cycle norm PASS minus cubic reconstruction PASS two-dimensional monomial action of exact order three PASS contraction telescope index: pi^{-m}(k)=2^m k modulo seven Carry data: (0, 0, 5, 0, 1) (1, 4, 13, -1, 1) (2, 1, 22, 0, 5) (3, 5, 30, -1, 5) (4, 2, 39, 0, 9) (5, 6, 47, -1, 9) (6, 3, 56, 0, 13) Exact audit passed. The algebraic-to-analytic special-value equality is not proved.