A chords with alternative bass notes

A major chords for piano with alternative bass notes presented by keyboard diagrams.
Explanation: The slash in the chord name indicates that the second letter is added as a new bass note. A/G# should therefore be read as A Major chord with a G# note in the bass and A/G as A Major chord with an G note in the bass and so forth.
Theory: A/G# is identical with the third inversion of Amaj7, A/G is identical with the third inversion of A7, A/F# is identical with the third inversion of A6 and A/F is identical with Fmaj7(#5).

A/G#

A/G# chord diagram
Notes: G# - A - C# - E
Fingerings: 5-4-2-1 (LH) 2-1-3-5 (RH)

A/G

A/G chord diagram
Notes: G - A - C# - E
Left hand: 5-3-2-1
Right hand: 1-2-3-5

A/F#

A/F# chord diagram
Notes: F# - A - C# - E
Left hand: 5-3-2-1
Right hand: 1-2-3-5

A/F

A/F chord diagram
Notes: F - A - C# - E
Left hand: 5-3-2-1
Right hand: 1-2-3-5

A chord categories

A Am A7 Am7 Amaj7 AmM7 A6 Am6 A6/9 A5 A9 Am9 Amaj9 A11 Am11 A13 Am13 Amaj13 Aadd A7-5 A7+5 Asus Adim Adim7 Am7b5 Aaug Aaug7