interface(prettyprint=0):

z21 := z3:

z211 := 2/5*z2^2:
z22 := 3/10*z2^2:
z31 := 1/10*z2^2:
z4 := 2/5*z2^2:

z2111 := z5:
z212 := 9/2*z5-2*z2*z3:
z221 := -11/2*z5+3*z2*z3:
z23 := 9/2*z5-2*z2*z3:
z311 := 2*z5-z2*z3:
z32 := -11/2*z5+3*z2*z3:
z41 := 2*z5-z2*z3:

z21111 := 8/35*z2^3:
z2112 := 10/21*z2^3-z3^2:
z2121 := -4/35*z2^3+1/2*z3^2:
z213 :=-13/70*z2^3+z3^2:
z2211 := -32/105*z2^3+z3^2:
z222 := 3/70*z2^3:
z231 := 53/105*z2^3-3/2*z3^2:
z24 := 10/21*z2^3-z3^2:
z3111 := 6/35*z2^3-1/2*z3^2:
z312 := 53/105*z2^3-3/2*z3^2:
z321:= -29/30*z2^3+3*z3^2:
z33 := -4/35*z2^3+1/2*z3^2:
z411 := 23/70*z2^3-z3^2:
z42 := -32/105*z2^3+z3^2:
z51 := 6/35*z2^3-1/2*z3^2:
z6 := 8/35*z2^3:


ass2:=expand( 
+z2*(-1*AB+1*BA))
;
ass3:=expand( 
+z21*(+1*ABB-2*BAB+1*BBA)
+z3*(-1*AAB+2*ABA-1*BAA))
;
ass4:=expand( 
+z211*(-1*ABBB+3*BABB-3*BBAB+1*BBBA)
+z31*(+1*AABB-2*ABBA-2*BAAB+4*BABA-1*BBAA)
+z4*(-1*AAAB+3*AABA-3*ABAA+1*BAAA)
+z22*(+1*ABAB-1*ABBA-1*BAAB+1*BABA))
;
ass5:=expand( 
+z2111*(+1*ABBBB-4*BABBB+6*BBABB-4*BBBAB+1*BBBBA)
+z311*(-1*AABBB+2*ABBBA+3*BAABB-6*BABBA-3*BBAAB+6*BBABA-1*BBBAA)
+z41*(+1*AAABB-3*AABBA+3*ABBAA-2*BAAAB+6*BAABA-6*BABAA+1*BBAAA)
+z5*(-1*AAAAB+4*AAABA-6*AABAA+4*ABAAA-1*BAAAA)
+z221*(-1*ABABB+1*ABBBA+1*BAABB+2*BABAB-3*BABBA-2*BBAAB+2*BBABA)
+z212*(-1*ABBAB+1*ABBBA+2*BABAB-2*BABBA-1*BBAAB+1*BBABA)
+z23*(+1*ABAAB-2*ABABA+1*ABBAA-1*BAAAB+2*BAABA-1*BABAA)
+z32*(+1*AABAB-1*AABBA-2*ABABA+2*ABBAA-1*BAAAB+3*BAABA-2*BABAA))
;
ass6:=expand( 
+z21111*(-1*ABBBBB+5*BABBBB-10*BBABBB+10*BBBABB-5*BBBBAB+1*BBBBBA)
+z3111*(+1*AABBBB-2*ABBBBA-4*BAABBB+8*BABBBA+6*BBAABB-12*BBABBA-4*BBBAAB+8*BBBABA-1*BBBBAA)
+z411*(-1*AAABBB+3*AABBBA-3*ABBBAA+3*BAAABB-9*BAABBA+9*BABBAA-3*BBAAAB+9*BBAABA-9*BBABAA+1*BBBAAA)
+z51*(+1*AAAABB-4*AAABBA+6*AABBAA-4*ABBAAA-2*BAAAAB+8*BAAABA-12*BAABAA+8*BABAAA-1*BBAAAA)
+z6*(-1*AAAAAB+5*AAAABA-10*AAABAA+10*AABAAA-5*ABAAAA+1*BAAAAA)
+z2211*(+1*ABABBB-1*ABBBBA-1*BAABBB-3*BABABB+4*BABBBA+3*BBAABB+3*BBABAB-6*BBABBA-3*BBBAAB+3*BBBABA)
+z2121*(+1*ABBABB-1*ABBBBA-2*BABABB-2*BABBAB+4*BABBBA+1*BBAABB+4*BBABAB-5*BBABBA-2*BBBAAB+2*BBBABA)
+z2112*(+1*ABBBAB-1*ABBBBA-3*BABBAB+3*BABBBA+3*BBABAB-3*BBABBA-1*BBBAAB+1*BBBABA)
+z231*(-1*ABAABB+2*ABABBA-1*ABBBAA+1*BAAABB-2*BAABBA+2*BABAAB-4*BABABA+3*BABBAA-2*BBAAAB+4*BBAABA-2*BBABAA)
+z213*(-1*ABBAAB+2*ABBABA-1*ABBBAA+2*BABAAB-4*BABABA+2*BABBAA-1*BBAAAB+2*BBAABA-1*BBABAA)
+z321*(-1*AABABB+1*AABBBA+2*ABABBA-2*ABBBAA+1*BAAABB+2*BAABAB-5*BAABBA-4*BABABA+6*BABBAA-2*BBAAAB+6*BBAABA-4*BBABAA)
+z312*(-1*AABBAB+1*AABBBA+2*ABBABA-2*ABBBAA+2*BAABAB-2*BAABBA-4*BABABA+4*BABBAA-1*BBAAAB+3*BBAABA-2*BBABAA)
+z24*(+1*ABAAAB-3*ABAABA+3*ABABAA-1*ABBAAA-1*BAAAAB+3*BAAABA-3*BAABAA+1*BABAAA)
+z33*(+1*AABAAB-2*AABABA+1*AABBAA-2*ABAABA+4*ABABAA-2*ABBAAA-1*BAAAAB+4*BAAABA-5*BAABAA+2*BABAAA)
+z42*(+1*AAABAB-1*AAABBA-3*AABABA+3*AABBAA+3*ABABAA-3*ABBAAA-1*BAAAAB+4*BAAABA-6*BAABAA+3*BABAAA)
+z222*(-1*ABABAB+1*ABABBA+1*ABBABA-1*ABBBAA+1*BAABAB-1*BAABBA+1*BABAAB-3*BABABA+2*BABBAA-1*BBAAAB+2*BBAABA-1*BBABAA))
;
collect(ass2,z2);
collect(ass3,z3);
collect(ass4,z2);
collect(ass5,[z2,z3,z5]);
collect(ass6,[z2,z3]);