Log24

Shown below are Aitchison's March 2018 M₂₄ permutations
and their relabeling, with digits only, for MAGMA checking.

In the versions below, r g b stand for red, green, blue. 
Infinity has been replaced by 7 (because a digit was needed,
and the position of the infinity symbol in the Aitchison cube
was suited to the digit 7).

             (r7,r1)(b2,g4)(r3,r5)(r6,g0)
 mu0=   (g7,g2)(r4,b1)(g6,g3)(g5,b0)
             (b7,b4)(g1,r2)(b5,b6)(b3,r0)

 mu1 =  (r7,r2,)(b3,g5)(r4,r6)(r0,g1)
             (g7,g3)(r5,b2)(g0,g4)(g6,b1)
             (b7,b5)(g2,r3)(b6,b0)(b4,r1)

 mu2 =  (r7,r3)(b4,g6)(r5,r0)(r1,g2)
             (g7,g4)(r6,b3)(g1,g5)(g0,b2)
             (b7,b6)(g3,r4)(b0,b1)(b5,r2)

 mu3 =  (r7,r4)(b5,g0)(r6,r1)(r2,g3)
             (g7,g5)(r0,b4)(g2,g6)(g1,b3)
             (b7,b0)(g4,r5)(b1,b2)(b6,r3)

 mu4 = (r7,r5)(b6,g1)(r0,r2)(r3,g4)
            (g7,g6)(r1,b5)(g3,g0)(g2,b4)
            (b7,b1)(g5,r6)(b2,b3)(b0,r4)

 mu5 =  (r7,r6)(b0,g2)(r1,r3)(r4,g5)
             (g7,g0)(r2,b6)(g4,g1)(g3,b5)
             (b7,b2)(g6,r0)(b3,b4)(b1,r5)

 mu6 = (r7,r0)(b1,g3)(r2,r4)(r5,g6)
            (g7,g1)(r3,b0)(g5,g2)(g4,b6)
            (b7,b3)(g0,r1)(b4,b5)(b2,r6)

Table 1 —

                0   1   2   3   4   5   6   7       
           r    1   2   3   4   5   6   7   8 
           g   9 10 11 12 13 14 15 16
           b 17 18 19 20 21 22 23 24 

The wReplace program was used with Table 1 above
to rewrite mu0-mu6 for MAGMA. 

The resulting code for MAGMA —

The Aitchison generators passed the MAGMA test.