/// WORK IN PROGRESS ///
Hyperoperation / a[c]b = a[c-1]a[c-1]...[c-1]a with b copies of a, a[1]b = a+b, a[2]b = ab, a[3]b = a^b. FGH level c+1.
Expansion / a[1,2]b = a[b]a = a[b-1]a[b-1]...[b-1]a with b copies of a. FGH level ω.
Biexpansion / a[2,2]b = a[1,2]a[1,2]...[1,2]a with b copies of a. FGH level ω+1.
Triexpansion / a[3,2]b = a[2,2]a[2,2]...[2,2]a with b copies of a. FGH level ω+2.
Tetraexpansion / a[4,2]b ~ FGH level ω+3.
Pentaexpansion / a[5,2]b ~ FGH level ω+4.
Hexaexplosion / a[6,2]b ~ FGH level ω+5.
Explosion / a[1,3]b = a[b,2]a. FGH level ω2.
Biexplosion / a[2,3]b = a[1,3]a[1,3]...[1,3]a with b copies of a. FGH level ω2+1.
Triexplosion / a[3,3]b ~ FGH level ω2+2.
Tetraexplosion / a[4,3]b ~ FGH level ω2+3.
Pentaexplosion / a[5,3]b ~ FGH level ω2+4.
Detonation / a[1,4]b = a[b,3]a. FGH level ω3.
Bidetonation / a[2,4]b ~ FGH level ω3+1.
Tridetonation / a[3,4]b ~ FGH level ω3+2.
Pentonation / a[1,5]b = a[b,4]a. FGH level ω4.
Hexonation / a[1,6]b = a[b,5]a. FGH level ω5.
Heptonation / a[1,7]b = a[b,6]a. FGH level ω6.
Octonation / a[1,8]b = a[b,7]a. FGH level ω7.
Ennonation / a[1,9]b = a[b,8]a. FGH level ω8.
Deconation / a[1,10]b = a[b,9]a. FGH level ω9.
Hyperonation / a[1,c]b = a[b,c-1]a. FGH level ω(c-1).
Megetion / a[1,1,2]b = a[a,b]a. FGH level ω^2.
Bimegetion / a[2,1,2]b = a[1,1,2]a[1,1,2]...[1,1,2]a with b copies of a. FGH level ω^2+1.
Trimegetion / a[3,1,2]b ~ FGH level ω^2+2.
Tetramegetion / a[4,1,2]b ~ FGH level ω^2+3.
Expandomegetion / a[1,2,2]b = a[b,1,2]a. FGH level ω^2+ω.
Biexpandomegetion / a[2,2,2]b ~ FGH level ω^2+ω+1.
Triexpandomegetion / a[3,2,2]b ~ FGH level ω^2+ω+2.
Explodomegetion / a[1,3,2]b = a[b,2,2]a. FGH level ω^2+ω2.
Detonomegetion / a[1,4,2]b = a[b,3,2]a. FGH level ω^2+ω3.
Pentonomegation / a[1,5,2]b = a[b,4,2]a. FGH level ω^2+ω4.
Tumegetion / a[1,1,3]b = a[a,b,2]a. FGH level (ω^2)2.
Bi-tumegetion / a[2,1,3]b ~ FGH level (ω^2)2+1.
Expandotumegetion / a[1,2,3]b = a[b,1,3]a. FGH level (ω^2)2+ω.
Explodotumegetion / a[1,3,3]b = a[b,2,3]a. FGH level (ω^2)2+ω2.
Detonotumegetion / a[1,4,3]b = a[b,3,3]a. FGH level (ω^2)2+ω3.
Qumegetion / a[1,1,4]b = a[a,b,3]a. FGH level (ω^2)3.
Pumegetion / a[1,1,5]b = a[a,b,4]a. FGH level (ω^2)4.
Humegetion / a[1,1,6]b = a[a,b,5]a. FGH level (ω^2)5.
Sumegetion / a[1,1,7]b ~ FGH level (ω^2)6.
Oumegetion / a[1,1,8]b ~ FGH level (ω^2)7.
Eumegetion / a[1,1,9]b ~ FGH level (ω^2)8.
Uzumegetion / a[1,1,10]b ~ FGH level (ω^2)9.
Gigetion / a[1,1,1,2]b = a[a,a,b]a. FGH level ω^3.
Bigigetion / a[2,1,1,2]b ~ FGH level ω^3+1.
Trigigetion / a[3,1,1,2]b ~ FGH level ω^3+2.
Tetragigetion / a[4,1,1,2]b ~ FGH level ω^3+3.
Expandomegetion / a[1,2,1,2]b = a[b,1,1,2]a. FGH level ω^3+ω.
Explodomegetion / a[1,3,1,2]b = a[b,2,1,2]a. FGH level ω^3+ω2.
Detonomegetion / a[1,4,1,2]b = a[b,3,1,2]a. FGH level ω^3+ω3.
Gigetomegetion / a[1,1,2,2]b = a[a,b,1,2]a. FGH level ω^3+ω^2.
Expandogigetomegetion / a[1,2,2,2]b = a[b,1,2,2]a. FGH level ω^3+ω^2+ω.
Explodogigetomegetion / a[1,3,2,2]b = a[b,2,2,2]a. FGH level ω^3+ω^2+ω2.
Gigetotumegetion / a[1,1,3,2]b = a[a,b,2,2]a. FGH level ω^3+(ω^2)2.
Gigetoqumegetion / a[1,1,4,2]b = a[a,b,3,2]a. FGH level ω^3+(ω^2)3.
Gigetopumegetion / a[1,1,5,2]b = a[a,b,4,2]a. FGH level ω^3+(ω^2)4.
Tugigetion / a[1,1,1,3]b = a[a,a,b,2]a. FGH level (ω^3)2.
Expandotugigetion / a[1,2,1,3]b = a[b,1,1,3]a. FGH level (ω^3)2+ω.
Tugigetomegetion / a[1,1,2,3]b = a[a,b,1,3]a. FGH level (ω^3)2+ω^2.
Tugigetotumegetion / a[1,1,3,3]b = a[a,b,2,3]a. FGH level (ω^3)2+(ω^2)2.
Tugigetoqumegetion / a[1,1,4,3]b = a[a,b,3,3]a. FGH level (ω^3)2+(ω^2)3.
Qugigetion / a[1,1,1,4]b = a[a,a,b,3]a. FGH level (ω^3)3.
Pugigetion / a[1,1,1,5]b = a[a,a,b,4]a. FGH level (ω^3)4.
Hugigetion / a[1,1,1,6]b = a[a,a,b,5]a. FGH level (ω^3)5.
Teretion / a[1,1,1,1,2]b = a[a,a,a,b]a. FGH level ω^4.
Teretogigetion / a[1,1,1,2,2]b = a[a,a,b,1,2]a. FGH level ω^4+ω^3.
Tuteretion / a[1,1,1,1,3]b = a[a,a,a,b,2]a. FGH level (ω^4)2.
Quteretion / a[1,1,1,1,4]b = a[a,a,a,b,3]a. FGH level (ω^4)3.
Petetion / a[1,1,1,1,1,2]b = a[a,a,a,a,b]a. FGH level ω^5.
Hatetion / a[1,1,1,1,1,1,2]b = a[a,a,a,a,a,b]a. FGH level ω^6.
Hapetion / a[1,1,1,1,1,1,1,2]b. FGH level ω^7.
Ocetion / a[1,1,1,1,1,1,1,1,2]b. FGH level ω^8.
Nanetion / a[1,1,1,1,1,1,1,1,1,2]b. FGH level ω^9.
Uzetion / a[1,1,1,1,1,1,1,1,1,1,2]b. FGH level ω^10.