Table 2 The codon groups of the best genetic code in terms of the fitness function F extracted from 50 independent simulations under the M₃ scenario

{AAG,TAG,TTC,CAG}

4

0.7453878

\(\frac {5}{6}\)

\(\frac {2}{3}\)

{ATC,TTA,GAA,GTA}

4

0.7347630

\(\frac {8}{9}\)

\(\frac {2}{3}\)

{ACG,CCA,CCT,CCG}

4

0.5928058

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{AGC,CAC,CGC,CCC}

4

0.6837612

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{GAG,GTG,GCA,GCG}

4

0.5734470

\(\frac {7}{9}\)

\(\frac {2}{3}\)

{ACT,TCT,GCT}

3

0.9164170

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{AGG,TGG,CGG}

3

0.8623860

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{TGC,GTC,GGC}

3

0.8267687

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{AGT,TGT,CGT}

3

0.8261313

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{ACC,TCC,GAC}

3

0.8157710

\(\frac {25}{27}\)

\(\frac {7}{9}\)

{ATG,TTG,CTG}

3

0.7968670

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{GAT,GGA,GGT}

3

0.7812357

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{ATT,GTT,CAT}

3

0.7741430

\(\frac {25}{27}\)

\(\frac {7}{9}\)

{TTT,CTT,CTC}

3

0.7475287

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{AGA,TGA,CGA}

3

0.7347630

\(\frac {7}{9}\)

\(\frac {7}{9}\)

{ATA,CAA,CTA}

3

0.7112670

\(\frac {23}{27}\)

\(\frac {7}{9}\)

{TCG,GGG,GCC}

3

0.7241587

1

\(\frac {7}{9}\)

{AAC,TAC}

2

1.0000000

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{AAT,TAT}

2

1.0000000

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{ACA,TCA}

2

1.0000000

\(\frac {8}{9}\)

\(\frac {8}{9}\)

{AAA,TAA}

2

1.0000000

\(\frac {8}{9}\)

\(\frac {8}{9}\)