Method and filling system for filling containers

An apparatus specifically designed for connecting a container's interior to a vacuum, evacuating said container's interior, while evacuating said container's interior, flushing said container's interior with gas, wherein, as a result, said container's interior is subjected to an internal pressure that is within a range of pressures, wherein said range of pressures is a range that extends between fifty millibars and two-hundred millibars, wherein at least some of said gas has already been used during container processing, filling said container's interior with gas under pressure, and relieving pressure in said container's interior, wherein said apparatus comprises a pressure-relief channel, a vacuum channel, and a filling-content reservoir, wherein said filling-content reservoir is connected to at least one filling element, wherein said pressure-relief channel is connected to said at least one filling element, wherein said vacuum channel is connected to said at least one filling element, wherein each filling element from said at least one filling element comprises a housing, a liquid valve, a liquid channel, an opening, a flushing tube, a flushing channel, and a return-gas tube, wherein said opening is an annular discharge opening, wherein said return-gas tube comprises a return-gas channel, a first gas chamber, a second gas chamber, a plurality of controlled gas paths, a first control valve that controls at least one of said controlled gas paths, a second control valve that controls at least one of said controlled gas paths, and a fourth control valve that controls at least one of said controlled gas paths, wherein said liquid channel is formed in said housing, wherein said annular discharge opening is on an underside of said filling element, wherein, during operation, liquid filling-content from said filling-content reservoir is discharged into a container sealed against said filling element through said annular discharge opening, wherein said flushing channel extends through said flushing tube, wherein said flushing tube is configured to extend downward through said opening during filling of a container, wherein said return-gas tube is configured to extend downward through said opening during filling of a container, wherein said return gas channel is an annular channel that surrounds said flushing tube, wherein said first gas chamber is formed in said housing, wherein said return gas channel comprises an end that is remote from said annular discharge opening, wherein said end of said return gas channel opens into said first gas chamber, wherein said second gas chamber is formed in said housing, wherein said flushing channel opens into said second gas chamber, wherein said fourth control valve is configured to connect said pressure-relief channel to said second gas chamber, wherein said second control valve is configured to connect said vacuum channel to said flushing channel of said flushing tube during evacuation and flushing of said container, wherein said second control valve is configured to connect said vacuum channel to said first gas chamber during evacuation and flushing of said container, wherein, in the course of evacuation and flushing of said container, said second control valve is configured to establish a connection between said vacuum channel and said return gas channel, wherein said second control valve is configured to connect said pressure-relief channel to said return gas channel during a residual pressure relief phase, wherein said first control valve is configured to connect said first gas chamber to said pressure-relief channel during residual pressure relief of said container, and wherein said first control valve is configured to connect said return gas channel to said pressure-relief channel during a residual pressure relief of said container.