When writing an aliquot legal description start with the position of the parcel within the quarter which is the "East half" for this example. The next position is the "Northeast quarter" then the "Southwest quarter".
The legal description would read:
All of the East half of the Northeast quarter of the Southwest quarter of Section 30, Township 1 South, Range 3 West of the Gila and Salt River Meridian, Maricopa County, Arizona.
It can also be written as follows:
All of the E1/2 of the NE4 of the SW4 of Section 30, Township 1 South, Range 3 West of the Gila and Salt River Meridian, Maricopa County, Arizona.
I have seen aliquot descriptions written as simple as:
E1/2NE4SW4, T.1S., R.3W., G&SRM, Maricopa County, Arizona.