Counts of rules in each 10^5 bin:

In[]:=
counts={4,206,107,4,206,107,2,0,6,0,24,270,16,0,171,125,2,0,0,0,0,0,0,41,8,19,0,0,0,12,1,0,1,0,0,0,30,48,23,53,78,6,2,0,0,0,0,32,0,0,2,1,1,0,0,0,0,0,0,258,407,806,629,2122,323,1098,244,1596,234,389,306,131,28,8,0,26,1128,630,22,236,260,128,20,123,55,0,0,0,44,60,0,46,79,9,3,0,0,0,0,6,40,0,0,2,1,1,0,0,0,0,0,0,0,257,453,1174,869,663,1071,1016,1401,511,325,266,253,12,0,0,0,360,1403,168,268,203,114,228,146,76,19,0,0,0,276,807,729,740,1162,716,1255,795,903,274,375,327,23,4,12,16,120,1436,239,227,63,251,220,92,99,36,0,0,0,0,0,0,10,14,16,0,0,0,0,0,0,0,0,0,0,0,0,0,45,0,62,0,38,0,0,0,0,0,74,2,3,0,1,0,40,3,0,0,0,3,0,1,0,0,0,0,2,0,0,0,0,0,0,249,942,437,221,897,1705,534,1642,1663,236,528,858,698,49,178,723,662,243,98,82,80,82,1396,1639,599,77,404,221,200,168,43,8,0,1157,1196,999,417,218,75,205,173,111,336,16,123,103,26,20,6,0,0,111,99,13,45,22,0,26,23,51,31,0,0,0,0,50,2,1,2,1,33,0,0,1,0,1,0,0,0,1,0,0,0,0,0,554,299,510,501,1615,1009,583,1258,603,187,151,1753,768,547,89,1126,381,237,95,80,37,144,1283,1414,162,413,211,169,34,290,38,0,134,1506,1416,811,229,212,306};
In[]:=
Mean[counts]/10^5//N
Out[]=
0.0023004
In[]:=
ListLinePlot[counts,PlotRangeAll]
Out[]=
In[]:=
selector[data_]:=Module[{acc={},di=ImageAdjust[First[#]]&/@data,dr,list},dr=DimensionReduce[First/@data,2];list=Transpose[{di,dr,Last/@data}];{Graphics[Inset[Button[Tooltip[Image[#1,ImageSize30],#1],AppendTo[acc,#3]],#2,BackgroundTransparent]&@@@list,ImageSize1000],Column[{Button["Clear",acc={}],Button["Copy",CopyToClipboard[acc]]}]}]
In[]:=
selector/@Partition[Import["/Users/sw/Dropbox/Physics/Data/23-33-ManifoldSearch/61.wxf"],UpTo[300]]
Out[]=