influence

[1]	affect , move , change , modify , alter , bias , sway , persuade , induce , work on , impress (upon) , play/act upon/on , incline , bring pressure to bear on/upon , move , motivate , manipulate , (Brit) pressurize , (US) pressure , (Colloq) pull strings/(US) wires
[2]	act upon , work
[3]	determine , shape , mold , regulate
[4]	charm , tempt

[1]	power , pressure , weight , sway , impact , force , effect , leverage , potency , hold , control , mastery , ascendancy , (Colloq) pull , clout
[2]	connections , favour , favouritism , (Colloq) pull