These are the values measured for the fractional quantum hall effects values for the filling factor \(\nu\) which can take values \(1,2,3,...\) or \(1/3, 2/5, 3/7, 2/3, 3/5, 1/5, 2/9, 3/13, 5/2, 12/5 ...\) \[1 = |0,0,0,...> \\ 2 = |1,0,0,...> \\ 3 = |0,1,0,...> \\ \\ 1/3=|0,-1,0,0,..> \\ 2/5=|1,0,-1,0,..> \\ 3/7=|0,1,0,-1,..> \\ 2/3=|1,-1,0,0,..> \\ 3/5=|0,1,-1,0,..> \\ 1/5=|0,0,-1,0,..> \\ 2/9=|1,-2,0,0,..> \\ 3/13=|0,1,0,0,0,-1,..>\\ 12/5=|2,1,-1,0,..>\\\]
So, investigating the sequence \[1/3=|0,-1,0,0,0,0,..> \\ 2/5=|1,0,-1,0,0,0,..> \\ 3/7=|0,1,0,-1,0,0,..> \\ 4/9=|2,-2,0,0,0,0,..> \\ 5/11=|0,0,1,0,-1,0,..> \\ 6/13=|1,1,0,0,0,-1,..> \\\]