sage: basis = (b[0] + b[9],) + b[1:9] + (b[0] - b[9],)
sage: jp = OctonionHermitianEJA.jordan_product
sage: ip = OctonionHermitianEJA.trace_inner_product
sage: basis = (b[0] + b[9],) + b[1:9] + (b[0] - b[9],)
sage: jp = OctonionHermitianEJA.jordan_product
sage: ip = OctonionHermitianEJA.trace_inner_product