The next two taxicab numbers after \(1729\) are \(4104\) and \(13832\). Compute two different representations of each number as a sum of positive cubes.
 
\(4104 =\) 23+i3
 
\(4104 =\) i3+153
 
\(13832\) \(=\) 183+i3
 
\(13832\) \(=\) i3+243